Subgroups — #28293024

Order 13568.

7254 conjugacy classes of subgroups.

The subgroup lattice has 2940 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289310	C₂	1	2	yes	maximal, complemented
2	#20289308	C₂	1	2	yes	maximal, complemented
3	#20289306	C₂	1	2	yes	maximal, complemented
4	#20289304	C₂	1	2	yes	maximal, complemented
5	#20289184	C₂	1	2	yes	maximal, complemented
6	#20289178	C₂	1	2	yes	maximal, complemented
7	#20289086	C₂	1	2	yes	maximal, complemented
8	#20289077	C₂	1	2	yes	maximal, complemented
9	#20289038	C₂	1	2	yes	maximal, complemented
10	#20289034	C₂	1	2	yes	maximal, complemented
11	#20289027	C₂	1	2	yes	maximal, complemented
12	#20289019	C₂	1	2	yes	maximal, complemented
13	#20288715	C₂	1	2	yes	maximal, complemented
14	#20288714	C₂	1	2	yes	maximal, complemented
15	#20288674	C₂	1	2	yes	maximal, complemented
16	#20288672	C₂	1	2	yes	maximal, complemented
17	#20288662	C₂	1	2	yes	maximal, complemented
18	#20288661	C₂	1	2	yes	maximal, complemented
19	#20288658	C₂	1	2	yes	maximal, complemented
20	#20288657	C₂	1	2	yes	maximal, complemented
21	#20288628	C₂	1	1	yes	maximal, characteristic, complemented
22	#20288627	C₂	1	1	yes	maximal, characteristic, complemented
23	#20288616	C₂	1	1	yes	maximal, characteristic, complemented
24	#20288605	C₂	1	2	yes	maximal, complemented
25	#20288594	C₂	1	1	yes	maximal, characteristic, complemented
26	#20288592	C₂	1	1	yes	maximal, characteristic, complemented
27	#20288591	C₂	1	1	yes	maximal, characteristic, complemented
28	#20288584	C₂	1	1	yes	maximal, characteristic, complemented
29	#20288584	C₂	1	1	yes	maximal, characteristic, complemented
30	#20288584	C₂	1	1	yes	maximal, characteristic, complemented
31	#20288506	C₂	1	2	yes	maximal, complemented
32	#20288498	C₂	1	1	yes	maximal, characteristic, complemented
33	#20288488	C₂	1	1	yes	maximal, characteristic, complemented
34	#20288372	C₂	1	2	yes	maximal, complemented
35	#20288354	C₂	1	2	yes	maximal, complemented
36	#20288012	C₂	1	1	yes	maximal, characteristic, complemented
37	#20288008	C₂	1	1	yes	maximal, characteristic, complemented
38	#532×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
39	C₅₃×#3511	C₂	1	1	yes	maximal, characteristic, complemented
40	C₂×#13133265	C₂²	1	2	yes	complemented
41	C₂×#13133263	C₂²	1	2	yes	—
42	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
43	#16811370	C₂²	1	4	yes	complemented
44	#16811369	C₂²	1	4	yes	complemented
45	#16811369	C₂²	1	4	yes	complemented
46	#16811367	C₂²	1	4	yes	complemented
47	#16811364	C₂²	1	4	yes	complemented
48	#16811361	C₂²	1	4	yes	complemented
49	#16811361	C₂²	1	4	yes	complemented
50	#16811361	C₂²	1	4	yes	complemented
51	#16811358	C₂²	1	2	yes	complemented
52	#16811358	C₂²	1	2	yes	complemented
53	#16811358	C₂²	1	2	yes	complemented
54	#16811358	C₂²	1	2	yes	complemented
55	#16811356	C₂²	1	2	yes	complemented
56	#16811356	C₂²	1	2	yes	complemented
57	#16811356	C₂²	1	2	yes	complemented
58	#16811355	C₂²	1	2	yes	complemented
59	#16811355	C₂²	1	2	yes	complemented
60	#16811355	C₂²	1	2	yes	complemented
61	#16811350	C₂²	1	2	yes	complemented
62	#16811349	C₂²	1	2	yes	complemented
63	#16811347	C₂²	1	2	yes	complemented
64	#16811345	C₂²	1	2	yes	complemented
65	#16811344	C₂²	1	2	yes	complemented
66	#16811342	C₂²	1	2	yes	complemented
67	#16811341	C₂²	1	2	yes	complemented
68	#16811339	C₂²	1	2	yes	complemented
69	#16811337	C₂²	1	2	yes	complemented
70	#16811336	C₂²	1	2	yes	complemented
71	#16811334	C₂²	1	2	yes	complemented
72	#16811332	C₂²	1	2	yes	complemented
73	#16811329	C₂²	1	2	yes	complemented
74	#16811326	C₂²	1	2	yes	complemented
75	#16811324	C₂²	1	4	yes	complemented
76	#16811323	C₂²	1	2	yes	complemented
77	#16811323	C₂²	1	4	yes	complemented
78	#16811322	C₂²	1	4	yes	complemented
79	#16811321	C₂²	1	4	yes	complemented
80	#16811321	C₂²	1	2	yes	complemented
81	#16811321	C₂²	1	2	yes	complemented
82	#16811320	C₂²	1	2	yes	complemented
83	#16811317	C₂²	1	2	yes	complemented
84	#16811314	C₂²	1	2	yes	complemented
85	#16811312	C₂²	1	2	yes	complemented
86	#16811311	C₂²	1	2	yes	complemented
87	#16811307	C₂²	1	2	yes	complemented
88	#16811303	C₂²	1	4	yes	complemented
89	#16811301	C₂²	1	4	yes	complemented
90	#16811300	C₂²	1	4	yes	complemented
91	#16811300	C₂²	1	4	yes	complemented
92	#16811298	C₂²	1	4	yes	complemented
93	#16811298	C₂²	1	4	yes	complemented
94	#16811297	C₂²	1	4	yes	complemented
95	#16811297	C₂²	1	4	yes	complemented
96	#16811295	C₂²	1	2	yes	complemented
97	#16811295	C₂²	1	2	yes	complemented
98	#16811294	C₂²	1	2	yes	complemented
99	#16811294	C₂²	1	2	yes	complemented
100	#16811294	C₂²	1	4	yes	complemented
101	#16811294	C₂²	1	2	yes	complemented
102	#16811294	C₂²	1	2	yes	complemented
103	#16811292	C₂²	1	2	yes	complemented
104	#16811292	C₂²	1	2	yes	complemented
105	#16811292	C₂²	1	2	yes	complemented
106	#16811291	C₂²	1	2	yes	complemented
107	#16811291	C₂²	1	2	yes	complemented
108	#16811291	C₂²	1	4	yes	complemented
109	#16811291	C₂²	1	2	yes	complemented
110	#16811288	C₂²	1	2	yes	complemented
111	#16811288	C₂²	1	2	yes	complemented
112	#16811285	C₂²	1	2	yes	complemented
113	#16811284	C₂²	1	2	yes	complemented
114	#16811284	C₂²	1	2	yes	complemented
115	#16811283	C₂²	1	2	yes	complemented
116	#16811283	C₂²	1	4	yes	complemented
117	#16811281	C₂²	1	2	yes	complemented
118	#16811281	C₂²	1	4	yes	complemented
119	#16811280	C₂²	1	2	yes	complemented
120	#16811276	C₂²	1	2	yes	complemented
121	#16811276	C₂²	1	2	yes	complemented
122	#16811276	C₂²	1	2	yes	complemented
123	#16811275	C₂²	1	2	yes	complemented
124	#16811274	C₂²	1	2	yes	complemented
125	#16811274	C₂²	1	2	yes	complemented
126	#16811274	C₂²	1	2	yes	complemented
127	#16811274	C₂²	1	4	yes	complemented
128	#16811274	C₂²	1	2	yes	complemented
129	#16811272	C₂²	1	2	yes	complemented
130	#16811271	C₂²	1	4	yes	complemented
131	#16811270	C₂²	1	2	yes	complemented
132	#16811270	C₂²	1	2	yes	complemented
133	#16811270	C₂²	1	2	yes	complemented
134	#16811270	C₂²	1	4	yes	complemented
135	#16811269	C₂²	1	4	yes	complemented
136	#16811269	C₂²	1	2	yes	complemented
137	#16811269	C₂²	1	2	yes	complemented
138	#16811269	C₂²	1	2	yes	complemented
139	#16811269	C₂²	1	2	yes	complemented
140	#16811268	C₂²	1	2	yes	complemented
141	#16811268	C₂²	1	2	yes	complemented
142	#16811268	C₂²	1	2	yes	complemented
143	#16811266	C₂²	1	2	yes	complemented
144	#16811266	C₂²	1	2	yes	complemented
145	#16811266	C₂²	1	4	yes	complemented
146	#16811266	C₂²	1	2	yes	complemented
147	#16811265	C₂²	1	4	yes	complemented
148	#16811264	C₂²	1	4	yes	complemented
149	#16811264	C₂²	1	2	yes	complemented
150	#16811264	C₂²	1	2	yes	complemented
151	#16811264	C₂²	1	2	yes	complemented
152	#16811264	C₂²	1	2	yes	complemented
153	#16811262	C₂²	1	4	yes	complemented
154	#16811261	C₂²	1	2	yes	complemented
155	#16811261	C₂²	1	2	yes	complemented
156	#16811261	C₂²	1	2	yes	complemented
157	D₄×D₂₁₂	C₂²	1	2	yes	—
158	D₄×D₂₁₂	C₂²	1	2	yes	—
159	#16811257	C₂²	1	2	yes	—
160	#16811257	C₂²	1	2	yes	—
161	#16811257	C₂²	1	2	yes	complemented
162	#16811257	C₂²	1	2	yes	complemented
163	#16811247	C₂²	1	2	yes	complemented
164	#16811247	C₂²	1	2	yes	complemented
165	#16811246	C₂²	1	2	yes	complemented
166	#16811245	C₂²	1	2	yes	complemented
167	#16811243	C₂²	1	4	yes	complemented
168	#16811240	C₂²	1	2	yes	complemented
169	#16811239	C₂²	1	4	yes	complemented
170	#16811238	C₂²	1	2	yes	complemented
171	#16811233	C₂²	1	2	yes	complemented
172	#16811231	C₂²	1	2	yes	complemented
173	#16811229	C₂²	1	2	yes	complemented
174	#16811229	C₂²	1	2	yes	complemented
175	#16811228	C₂²	1	2	yes	complemented
176	#16811228	C₂²	1	4	yes	complemented
177	#16811228	C₂²	1	2	yes	complemented
178	#16811226	C₂²	1	2	yes	complemented
179	#16811226	C₂²	1	2	yes	complemented
180	#16811226	C₂²	1	2	yes	complemented
181	#16811225	C₂²	1	4	yes	complemented
182	#16811224	C₂²	1	4	yes	complemented
183	#16811224	C₂²	1	2	yes	complemented
184	#16811224	C₂²	1	2	yes	complemented
185	#16811224	C₂²	1	2	yes	complemented
186	#16811223	C₂²	1	4	yes	complemented
187	#16811222	C₂²	1	4	yes	complemented
188	#16811220	C₂²	1	4	yes	complemented
189	#16811219	C₂²	1	4	yes	complemented
190	#16811214	C₂²	1	4	yes	complemented
191	#16811213	C₂²	1	4	yes	complemented
192	#16811212	C₂²	1	4	yes	complemented
193	#16811209	C₂²	1	4	yes	complemented
194	#16811207	C₂²	1	4	yes	complemented
195	#16811207	C₂²	1	4	yes	complemented
196	#16811206	C₂²	1	4	yes	complemented
197	#16811205	C₂²	1	4	yes	complemented
198	#16811205	C₂²	1	4	yes	complemented
199	#16811204	C₂²	1	2	yes	complemented
200	#16811203	C₂²	1	2	yes	complemented
201	#16811202	C₂²	1	2	yes	complemented
202	#16811198	C₂²	1	2	yes	complemented
203	#16811198	C₂²	1	2	yes	complemented
204	#16811197	C₂²	1	2	yes	complemented
205	#16811196	C₂²	1	2	yes	—
206	#16811196	C₂²	1	4	yes	complemented
207	#16811192	C₂²	1	2	yes	complemented
208	#16811191	C₂²	1	2	yes	—
209	#16811191	C₂²	1	4	yes	complemented
210	#16811191	C₂²	1	2	yes	complemented
211	#16811189	C₂²	1	2	yes	complemented
212	#16811189	C₂²	1	2	yes	complemented
213	#16811189	C₂²	1	4	yes	complemented
214	#16811189	C₂²	1	4	yes	complemented
215	#16811189	C₂²	1	2	yes	complemented
216	#16811187	C₂²	1	2	yes	complemented
217	#16811187	C₂²	1	2	yes	complemented
218	#16811184	C₂²	1	4	yes	complemented
219	#16811181	C₂²	1	4	yes	complemented
220	#16811180	C₂²	1	1	yes	characteristic, complemented
221	#16811178	C₂²	1	1	yes	characteristic, complemented
222	#16811178	C₂²	1	1	yes	characteristic, complemented
223	#16811178	C₂²	1	1	yes	characteristic, complemented
224	#16811178	C₂²	1	1	yes	characteristic, complemented
225	#16811177	C₂²	1	1	yes	characteristic, complemented
226	#16811177	C₂²	1	1	yes	characteristic, complemented
227	#16811176	C₂²	1	1	yes	characteristic, complemented
228	#16811174	C₂²	1	1	yes	characteristic
229	#16811174	C₂²	1	1	yes	characteristic, complemented
230	#16811174	C₂²	1	1	yes	characteristic, complemented
231	#16811174	C₂²	1	1	yes	characteristic, complemented
232	#16811174	C₂²	1	1	yes	characteristic, complemented
233	#16811174	C₂²	1	1	yes	characteristic, complemented
234	#16811173	C₂²	1	1	yes	characteristic, complemented
235	#16811173	C₂²	1	1	yes	characteristic, complemented
236	#16811173	C₂²	1	1	yes	characteristic, complemented
237	#16811173	C₂²	1	1	yes	characteristic, complemented
238	#16811172	C₂²	1	2	yes	complemented
239	#16811171	C₂²	1	1	yes	characteristic, complemented
240	#16811171	C₂²	1	1	yes	characteristic, complemented
241	#16811170	C₂²	1	1	yes	characteristic
242	#16811170	C₂²	1	1	yes	characteristic, complemented
243	#16811170	C₂²	1	2	yes	complemented
244	#16811170	C₂²	1	2	yes	complemented
245	#16811170	C₂²	1	4	yes	complemented
246	#16811169	C₂²	1	1	yes	characteristic, complemented
247	#16811169	C₂²	1	2	yes	complemented
248	#16811168	C₂²	1	2	yes	complemented
249	#16811168	C₂²	1	2	yes	complemented
250	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
251	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
252	C₂×#13133214	C₂²	1	1	yes	characteristic, complemented
253	#127×D₅₃	C₂²	1	1	yes	characteristic
254	#127×D₅₃	C₂²	1	1	yes	characteristic, complemented
255	#16811160	C₂²	1	1	yes	characteristic, complemented
256	#16811160	C₂²	1	1	yes	characteristic, complemented
257	#16811160	C₂²	1	2	yes	complemented
258	#16811160	C₂²	1	2	yes	complemented
259	#16811159	C₂²	1	2	yes	complemented
260	#16811159	C₂²	1	2	yes	complemented
261	#16811158	C₂²	1	2	yes	complemented
262	#16811158	C₂²	1	2	yes	complemented
263	#16811156	C₂²	1	4	yes	complemented
264	#16811155	C₂²	1	1	yes	characteristic, complemented
265	#16811155	C₂²	1	1	yes	characteristic, complemented
266	#16811153	C₂²	1	1	yes	characteristic, complemented
267	#16811153	C₂²	1	1	yes	characteristic, complemented
268	#16811153	C₂²	1	1	yes	characteristic, complemented
269	#16811153	C₂²	1	1	yes	characteristic, complemented
270	#16811151	C₂²	1	1	yes	characteristic, complemented
271	#16811151	C₂²	1	1	yes	characteristic, complemented
272	#16811151	C₂²	1	1	yes	characteristic, complemented
273	#16811151	C₂²	1	1	yes	characteristic, complemented
274	#16811151	C₂²	1	4	yes	complemented
275	#124×D₅₃	C₂²	1	2	yes	complemented
276	#124×D₅₃	C₂²	1	4	yes	complemented
277	#16811136	C₂²	1	2	yes	complemented
278	#16811136	C₂²	1	2	yes	complemented
279	#16811136	C₂²	1	4	yes	complemented
280	#16811135	C₂²	1	1	yes	characteristic, complemented
281	#16811135	C₂²	1	2	yes	complemented
282	#16811132	C₂²	1	1	yes	characteristic
283	#16811132	C₂²	1	1	yes	characteristic, complemented
284	#16811132	C₂²	1	1	yes	characteristic, complemented
285	#16811132	C₂²	1	1	yes	characteristic, complemented
286	#16811132	C₂²	1	4	yes	complemented
287	#16811130	C₂²	1	1	yes	characteristic, complemented
288	C₂×#13133202	C₂²	1	4	yes	complemented
289	#123×D₅₃	C₂²	1	4	yes	complemented
290	#121×D₅₃	C₂²	1	2	yes	complemented
291	#121×D₅₃	C₂²	1	2	yes	complemented
292	#16811105	C₂²	1	2	yes	complemented
293	#16811104	C₂²	1	2	yes	complemented
294	#16811102	C₂²	1	2	yes	complemented
295	#16811099	C₂²	1	2	yes	complemented
296	#16811097	C₂²	1	2	yes	complemented
297	#16811097	C₂²	1	2	yes	complemented
298	#16811095	C₂²	1	2	yes	complemented
299	#16811095	C₂²	1	2	yes	complemented
300	#16811095	C₂²	1	2	yes	complemented
301	C₄×#11719949	C₂²	1	2	yes	complemented
302	C₄×#11719949	C₂²	1	2	yes	complemented
303	C₄×#11719945	C₂²	1	1	yes	characteristic
304	C₄×#11719945	C₂²	1	1	yes	characteristic, complemented
305	C₄×#11719945	C₂²	1	1	yes	characteristic, complemented
306	C₄×#11719945	C₂²	1	1	yes	characteristic, complemented
307	C₄×#11719945	C₂²	1	1	yes	characteristic, complemented
308	#16811091	C₂²	1	2	yes	complemented
309	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
310	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
311	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic, complemented
312	C₅₃×#556	C₂²	1	2	yes	complemented
313	C₅₃×#555	C₂²	1	2	yes	complemented
314	C₅₃×#554	C₂²	1	2	yes	complemented
315	C₅₃×#553	C₂²	1	2	yes	complemented
316	C₅₃×#553	C₂²	1	2	yes	complemented
317	C₅₃×#548	C₂²	1	2	yes	complemented
318	C₅₃×#548	C₂²	1	2	yes	complemented
319	C₅₃×#547	C₂²	1	2	yes	complemented
320	C₅₃×#542	C₂²	1	2	yes	complemented
321	C₅₃×#542	C₂²	1	2	yes	complemented
322	C₅₃×#537	C₂²	1	2	yes	complemented
323	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
324	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
325	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
326	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
327	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
328	C₂×C₄⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
329	C₅₃×#520	C₂²	1	2	yes	complemented
330	C₄×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
331	#13133265	—	4	8	no	—
332	#13133263	—	4	8	no	—
333	C₂×#11719949	C₂³	1	2	yes	—
334	C₂×#11719949	C₂³	1	4	yes	—
335	C₂×#11719949	C₂³	1	2	yes	—
336	C₂×#11719949	C₂³	1	2	yes	—
337	C₂×#11719949	C₂³	1	2	yes	—
338	C₂×#11719949	C₂³	1	2	yes	—
339	C₂×#11719949	C₂³	1	2	yes	—
340	C₂×#11719945	C₂³	1	1	yes	characteristic
341	C₂×#11719945	C₂³	1	1	yes	characteristic
342	C₂×#11719945	C₂³	1	4	yes	—
343	C₂×#11719945	C₂³	1	4	yes	—
344	C₂×#11719945	C₂³	1	2	yes	—
345	C₂×#11719945	C₂³	1	2	yes	—
346	C₂×#11719945	C₂³	1	2	yes	—
347	C₂×#11719945	C₂³	1	2	yes	—
348	C₂×#11719945	C₂³	1	4	yes	—
349	C₂×#11719945	C₂³	1	4	yes	—
350	C₂×#11719945	C₂³	1	1	yes	characteristic
351	C₂×#11719945	C₂³	1	1	yes	characteristic
352	C₂×#11719945	C₂³	1	1	yes	characteristic
353	C₂×#11719947	C₂³	1	2	yes	—
354	C₂×#11719947	C₂³	1	2	yes	—
355	C₂×#11719947	C₂³	1	4	yes	—
356	#41×D₅₃	—	4	8	no	—
357	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
358	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
359	C₂×Q₈×D₅₃	C₂³	1	4	yes	—
360	C₂²×D₂₁₂	C₂³	1	2	yes	—
361	C₂²×D₂₁₂	C₂³	1	2	yes	—
362	C₂²×D₂₁₂	C₂³	1	4	yes	—
363	C₂²×D₂₁₂	C₂³	1	2	yes	—
364	C₂×D₄×D₅₃	C₂³	1	2	yes	—
365	C₂×D₄×D₅₃	C₂³	1	4	yes	—
366	C₂×D₄×D₅₃	C₂³	1	2	yes	—
367	C₂×D₄×D₅₃	C₂³	1	4	yes	—
368	C₂×D₄×D₅₃	C₂³	1	2	yes	—
369	C₂×D₄×D₅₃	C₂³	1	2	yes	—
370	C₂×D₄×D₅₃	C₂³	1	2	yes	—
371	C₂×D₄×D₅₃	C₂³	1	2	yes	—
372	C₂×D₄×D₅₃	C₂³	1	4	yes	—
373	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
374	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
375	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
376	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
377	#13133217	C₂³	1	1	yes	characteristic
378	#13133217	C₂³	1	1	yes	characteristic
379	#13133216	C₂³	1	4	yes	—
380	#13133216	C₂³	1	2	yes	—
381	#13133216	C₂³	1	2	yes	—
382	#13133216	C₂³	1	2	yes	—
383	#13133216	C₂³	1	2	yes	—
384	#13133216	C₂³	1	1	yes	characteristic
385	#13133216	C₂³	1	1	yes	characteristic
386	#13133215	C₂³	1	2	yes	—
387	#13133215	C₂³	1	2	yes	—
388	#13133215	C₂³	1	1	yes	characteristic
389	#13133214	C₂³	1	2	yes	—
390	#13133214	C₂³	1	4	yes	—
391	#13133214	C₂³	1	2	yes	—
392	#13133214	C₂³	1	2	yes	—
393	#13133214	C₂³	1	1	yes	characteristic
394	#13133214	C₂³	1	1	yes	characteristic
395	#13133213	C₂³	1	4	yes	—
396	#13133213	C₂³	1	4	yes	—
397	#13133213	C₂³	1	4	yes	—
398	#13133213	C₂³	1	2	yes	—
399	#13133213	C₂³	1	4	yes	—
400	#13133213	C₂³	1	2	yes	—
401	#13133213	C₂³	1	2	yes	—
402	#13133213	C₂³	1	2	yes	—
403	#13133213	C₂³	1	2	yes	—
404	#13133213	C₂³	1	2	yes	—
405	#13133213	C₂³	1	1	yes	characteristic
406	#13133212	C₂³	1	1	yes	characteristic
407	#13133212	C₂³	1	4	yes	—
408	#13133212	C₂³	1	1	yes	characteristic
409	#13133212	C₂³	1	4	yes	—
410	#13133212	C₂³	1	4	yes	—
411	#13133212	C₂³	1	4	yes	—
412	#13133212	C₂³	1	1	yes	characteristic
413	#13133212	C₂³	1	1	yes	characteristic
414	#13133212	C₂³	1	4	yes	—
415	#13133212	C₂³	1	4	yes	—
416	#13133211	C₂³	1	4	yes	—
417	#13133211	C₂³	1	4	yes	—
418	#13133210	C₂³	1	4	yes	—
419	#13133210	C₂³	1	4	yes	—
420	#13133210	C₂³	1	1	yes	characteristic
421	#13133210	C₂³	1	4	yes	—
422	#13133210	C₂³	1	1	yes	characteristic
423	#13133210	C₂³	1	4	yes	—
424	#13133210	C₂³	1	1	yes	characteristic
425	#13133210	C₂³	1	1	yes	characteristic
426	#13133209	C₂³	1	4	yes	—
427	#13133209	C₂³	1	2	yes	—
428	#13133208	C₂³	1	2	yes	—
429	#13133208	C₂³	1	4	yes	—
430	#13133208	C₂³	1	2	yes	—
431	#13133208	C₂³	1	2	yes	—
432	#13133208	C₂³	1	1	yes	characteristic
433	#13133208	C₂³	1	1	yes	characteristic
434	#13133208	C₂³	1	2	yes	—
435	#13133207	C₂³	1	4	yes	—
436	#13133207	C₂³	1	4	yes	—
437	#13133207	C₂³	1	1	yes	characteristic
438	#13133207	C₂³	1	1	yes	characteristic
439	#13133207	C₂³	1	1	yes	characteristic
440	#13133207	C₂³	1	1	yes	characteristic
441	#13133206	C₂³	1	4	yes	—
442	#13133206	C₂³	1	2	yes	—
443	#13133206	C₂³	1	2	yes	—
444	#13133206	C₂³	1	2	yes	—
445	#13133206	C₂³	1	2	yes	—
446	#13133206	C₂³	1	4	yes	—
447	#13133206	C₂³	1	2	yes	—
448	#13133206	C₂³	1	4	yes	—
449	#13133206	C₂³	1	2	yes	—
450	#13133206	C₂³	1	1	yes	characteristic
451	#13133205	C₂³	1	2	yes	—
452	#13133205	C₂³	1	2	yes	—
453	#13133205	C₂³	1	2	yes	—
454	#13133205	C₂³	1	4	yes	—
455	#13133205	C₂³	1	2	yes	—
456	#13133205	C₂³	1	4	yes	—
457	#13133204	C₂³	1	2	yes	—
458	#13133204	C₂³	1	4	yes	—
459	#13133204	C₂³	1	2	yes	—
460	#13133204	C₂³	1	1	yes	characteristic
461	#13133203	C₂³	1	4	yes	—
462	#13133203	C₂³	1	4	yes	—
463	#13133203	C₂³	1	4	yes	—
464	#13133203	C₂³	1	4	yes	—
465	#13133203	C₂³	1	4	yes	—
466	#13133203	C₂³	1	4	yes	—
467	#13133203	C₂³	1	1	yes	characteristic
468	#13133203	C₂³	1	4	yes	—
469	#13133203	C₂³	1	4	yes	—
470	#13133203	C₂³	1	1	yes	characteristic
471	#13133203	C₂³	1	1	yes	characteristic
472	#13133203	C₂³	1	1	yes	characteristic
473	#13133202	C₂³	1	4	yes	—
474	#13133202	C₂³	1	4	yes	—
475	#13133202	C₂³	1	4	yes	—
476	#13133202	C₂³	1	4	yes	—
477	#13133202	C₂³	1	4	yes	—
478	#13133202	C₂³	1	4	yes	—
479	#13133202	C₂³	1	4	yes	—
480	#13133202	C₂³	1	4	yes	—
481	#13133202	C₂³	1	4	yes	—
482	#13133202	C₂³	1	4	yes	—
483	#13133202	C₂³	1	4	yes	—
484	#13133202	C₂³	1	4	yes	—
485	#13133202	C₂³	1	4	yes	—
486	#13133202	C₂³	1	4	yes	—
487	#13133202	C₂³	1	4	yes	—
488	#13133202	C₂³	1	4	yes	—
489	#13133202	C₂³	1	4	yes	—
490	#13133202	C₂³	1	4	yes	—
491	#13133202	C₂³	1	1	yes	characteristic
492	#13133202	C₂³	1	1	yes	characteristic
493	#13133202	C₂³	1	1	yes	characteristic
494	#13133202	C₂³	1	1	yes	characteristic
495	#13133201	C₂³	1	4	yes	—
496	#13133201	C₂³	1	4	yes	—
497	#13133201	C₂³	1	4	yes	—
498	#13133201	C₂³	1	4	yes	—
499	#13133201	C₂³	1	1	yes	characteristic
500	#13133201	C₂³	1	1	yes	characteristic
501	#13133200	C₂³	1	4	yes	—
502	#13133200	C₂³	1	4	yes	—
503	#13133200	C₂³	1	4	yes	—
504	#13133200	C₂³	1	4	yes	—
505	#13133200	C₂³	1	4	yes	—
506	#13133200	C₂³	1	4	yes	—
507	#13133199	C₂³	1	4	yes	—
508	#13133199	C₂³	1	4	yes	—
509	#13133199	C₂³	1	4	yes	—
510	#13133199	C₂³	1	4	yes	—
511	#13133199	C₂³	1	4	yes	—
512	#13133199	C₂³	1	4	yes	—
513	#13133199	C₂³	1	4	yes	—
514	#13133199	C₂³	1	4	yes	—
515	#13133199	C₂³	1	1	yes	characteristic
516	#13133199	C₂³	1	1	yes	characteristic
517	#13133199	C₂³	1	1	yes	characteristic
518	#13133199	C₂³	1	1	yes	characteristic
519	#13133198	C₂³	1	4	yes	—
520	#13133198	C₂³	1	1	yes	characteristic
521	#13133198	C₂³	1	1	yes	characteristic
522	#13133197	C₂³	1	2	yes	—
523	#13133197	C₂³	1	2	yes	—
524	#13133197	C₂³	1	2	yes	—
525	#13133197	C₂³	1	4	yes	—
526	#13133197	C₂³	1	1	yes	characteristic
527	#13133197	C₂³	1	4	yes	—
528	#13133197	C₂³	1	1	yes	characteristic
529	#13133197	C₂³	1	2	yes	—
530	#13133196	C₂³	1	2	yes	—
531	#13133196	C₂³	1	2	yes	—
532	#13133196	C₂³	1	4	yes	—
533	#13133195	C₂³	1	4	yes	—
534	#13133195	C₂³	1	1	yes	characteristic
535	#13133195	C₂³	1	4	yes	—
536	#13133195	C₂³	1	4	yes	—
537	#13133195	C₂³	1	4	yes	—
538	#13133195	C₂³	1	1	yes	characteristic
539	#13133195	C₂³	1	4	yes	—
540	#13133195	C₂³	1	1	yes	characteristic
541	#13133195	C₂³	1	1	yes	characteristic
542	#13133195	C₂³	1	4	yes	—
543	#13133194	C₂³	1	1	yes	characteristic
544	#13133194	C₂³	1	1	yes	characteristic
545	#13133194	C₂³	1	4	yes	—
546	#13133194	C₂³	1	4	yes	—
547	#13133194	C₂³	1	1	yes	characteristic
548	#13133194	C₂³	1	1	yes	characteristic
549	#13133193	C₂³	1	2	yes	—
550	#13133193	C₂³	1	4	yes	—
551	#13133193	C₂³	1	2	yes	—
552	#13133193	C₂³	1	2	yes	—
553	#13133193	C₂³	1	2	yes	—
554	#13133193	C₂³	1	4	yes	—
555	#13133193	C₂³	1	4	yes	—
556	#13133193	C₂³	1	4	yes	—
557	#13133193	C₂³	1	1	yes	characteristic
558	#13133193	C₂³	1	1	yes	characteristic
559	#13133192	C₂³	1	1	yes	characteristic
560	#13133192	C₂³	1	4	yes	—
561	#13133192	C₂³	1	2	yes	—
562	#13133192	C₂³	1	2	yes	—
563	#13133192	C₂³	1	4	yes	—
564	#13133192	C₂³	1	2	yes	—
565	#13133192	C₂³	1	4	yes	—
566	#13133192	C₂³	1	4	yes	—
567	#13133192	C₂³	1	4	yes	—
568	#13133192	C₂³	1	2	yes	—
569	#13133192	C₂³	1	4	yes	—
570	#13133192	C₂³	1	2	yes	—
571	#13133192	C₂³	1	2	yes	—
572	#13133192	C₂³	1	2	yes	—
573	#13133192	C₂³	1	2	yes	—
574	#13133192	C₂³	1	2	yes	—
575	#13133192	C₂³	1	2	yes	—
576	#13133192	C₂³	1	1	yes	characteristic
577	#13133192	C₂³	1	2	yes	—
578	#13133192	C₂³	1	2	yes	—
579	#13133191	C₂³	1	4	yes	—
580	#13133191	C₂³	1	4	yes	—
581	#13133191	C₂³	1	4	yes	—
582	#13133191	C₂³	1	2	yes	—
583	#13133191	C₂³	1	2	yes	—
584	#13133191	C₂³	1	4	yes	—
585	#13133191	C₂³	1	2	yes	—
586	#13133191	C₂³	1	2	yes	—
587	#13133191	C₂³	1	2	yes	—
588	#13133191	C₂³	1	4	yes	—
589	#13133191	C₂³	1	2	yes	—
590	#13133191	C₂³	1	4	yes	—
591	#13133191	C₂³	1	4	yes	—
592	#13133191	C₂³	1	2	yes	—
593	#13133191	C₂³	1	2	yes	—
594	#13133190	C₂³	1	1	yes	characteristic
595	#13133190	C₂³	1	1	yes	characteristic
596	#13133190	C₂³	1	4	yes	—
597	#13133190	C₂³	1	4	yes	—
598	#13133190	C₂³	1	4	yes	—
599	#13133190	C₂³	1	1	yes	characteristic
600	#13133190	C₂³	1	4	yes	—
601	#13133190	C₂³	1	4	yes	—
602	#13133190	C₂³	1	4	yes	—
603	#13133190	C₂³	1	4	yes	—
604	#13133190	C₂³	1	4	yes	—
605	#13133190	C₂³	1	4	yes	—
606	#13133190	C₂³	1	4	yes	—
607	#13133190	C₂³	1	4	yes	—
608	#13133190	C₂³	1	4	yes	—
609	#13133190	C₂³	1	1	yes	characteristic
610	#13133190	C₂³	1	4	yes	—
611	#13133190	C₂³	1	4	yes	—
612	#13133190	C₂³	1	4	yes	—
613	#13133190	C₂³	1	4	yes	—
614	#13133189	C₂³	1	4	yes	—
615	#13133189	C₂³	1	4	yes	—
616	#13133189	C₂³	1	1	yes	characteristic
617	#13133189	C₂³	1	4	yes	—
618	#13133189	C₂³	1	4	yes	—
619	#13133189	C₂³	1	1	yes	characteristic
620	#13133189	C₂³	1	1	yes	characteristic
621	#13133189	C₂³	1	4	yes	—
622	#13133189	C₂³	1	4	yes	—
623	#13133189	C₂³	1	1	yes	characteristic
624	#13133188	C₂³	1	2	yes	—
625	#13133188	C₂³	1	4	yes	—
626	#13133188	C₂³	1	2	yes	—
627	#13133188	C₂³	1	2	yes	—
628	#13133188	C₂³	1	1	yes	characteristic
629	#13133188	C₂³	1	4	yes	—
630	#13133188	C₂³	1	4	yes	—
631	#13133188	C₂³	1	4	yes	—
632	#13133188	C₂³	1	1	yes	characteristic
633	#13133188	C₂³	1	2	yes	—
634	#13133187	C₂³	1	4	yes	—
635	#13133187	C₂³	1	4	yes	—
636	#13133187	C₂³	1	4	yes	—
637	#13133187	C₂³	1	4	yes	—
638	#13133187	C₂³	1	4	yes	—
639	#13133187	C₂³	1	4	yes	—
640	#13133187	C₂³	1	4	yes	—
641	#13133187	C₂³	1	4	yes	—
642	#13133187	C₂³	1	4	yes	—
643	#13133187	C₂³	1	1	yes	characteristic
644	#13133187	C₂³	1	1	yes	characteristic
645	#13133187	C₂³	1	4	yes	—
646	#13133185	C₂³	1	4	yes	—
647	#13133185	C₂³	1	4	yes	—
648	#13133185	C₂³	1	4	yes	—
649	#13133185	C₂³	1	4	yes	—
650	#13133185	C₂³	1	4	yes	—
651	#13133185	C₂³	1	4	yes	—
652	#13133185	C₂³	1	4	yes	—
653	#13133185	C₂³	1	1	yes	characteristic
654	#13133185	C₂³	1	1	yes	characteristic
655	Q₈×Dic₅₃	C₂³	1	2	yes	—
656	Q₈×Dic₅₃	C₂³	1	2	yes	—
657	Q₈×Dic₅₃	C₂³	1	2	yes	—
658	Q₈×Dic₅₃	C₂³	1	2	yes	—
659	C₄×Dic₁₀₆	C₂³	1	4	yes	—
660	C₄×Dic₁₀₆	C₂³	1	2	yes	—
661	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
662	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
663	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
664	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
665	C₄×Dic₁₀₆	C₂³	1	2	yes	—
666	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
667	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
668	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
669	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
670	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
671	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
672	#13133182	C₂³	1	4	yes	—
673	#13133182	C₂³	1	2	yes	—
674	#13133182	C₂³	1	2	yes	—
675	#13133182	C₂³	1	2	yes	—
676	#13133182	C₂³	1	2	yes	—
677	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
678	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
679	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
680	C₄×D₂₁₂	C₂³	1	4	yes	—
681	C₄×D₂₁₂	C₂³	1	2	yes	—
682	C₄×D₂₁₂	C₂³	1	2	yes	—
683	C₄×D₂₁₂	C₂³	1	4	yes	—
684	C₄×D₂₁₂	C₂³	1	2	yes	—
685	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
686	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
687	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
688	C₄×D₂₁₂	C₂³	1	2	yes	—
689	C₄×D₂₁₂	C₂³	1	2	yes	—
690	C₄×D₂₁₂	C₂³	1	2	yes	—
691	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
692	C₄×D₂₁₂	C₂³	1	4	yes	—
693	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
694	C₄×D₂₁₂	C₂³	1	4	yes	—
695	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
696	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
697	C₄×D₂₁₂	C₂³	1	2	yes	—
698	C₄×D₂₁₂	C₂³	1	2	yes	—
699	C₄×D₂₁₂	C₂³	1	4	yes	—
700	D₄×Dic₅₃	C₂³	1	2	yes	—
701	D₄×Dic₅₃	C₂³	1	2	yes	—
702	D₄×Dic₅₃	C₂³	1	2	yes	—
703	D₄×Dic₅₃	C₂³	1	2	yes	—
704	#13133179	C₂³	1	4	yes	—
705	#13133179	C₂³	1	2	yes	—
706	#13133179	C₂³	1	2	yes	—
707	#13133179	C₂³	1	2	yes	—
708	#13133179	C₂³	1	2	yes	—
709	#13133179	C₂³	1	4	yes	—
710	#13133179	C₂³	1	2	yes	—
711	#13133179	C₂³	1	2	yes	—
712	#13133179	C₂³	1	2	yes	—
713	#13133179	C₂³	1	2	yes	—
714	#13133179	C₂³	1	4	yes	—
715	#13133179	C₂³	1	4	yes	—
716	#13133179	C₂³	1	4	yes	—
717	#13133179	C₂³	1	2	yes	—
718	#13133179	C₂³	1	2	yes	—
719	#13133179	C₂³	1	2	yes	—
720	#13133179	C₂³	1	2	yes	—
721	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
722	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
723	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
724	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
725	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
726	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
727	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
728	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
729	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
730	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
731	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
732	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
733	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
734	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
735	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
736	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
737	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
738	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
739	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
740	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
741	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
742	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
743	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
744	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
745	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
746	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
747	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
748	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
749	#13133177	C₂³	1	4	yes	—
750	#13133177	C₂³	1	4	yes	—
751	#13133177	C₂³	1	4	yes	—
752	#13133177	C₂³	1	4	yes	—
753	#13133177	C₂³	1	4	yes	—
754	#13133177	C₂³	1	4	yes	—
755	#13133177	C₂³	1	4	yes	—
756	#13133177	C₂³	1	4	yes	—
757	#13133176	C₂³	1	2	yes	—
758	#13133176	C₂³	1	1	yes	characteristic
759	#13133176	C₂³	1	1	yes	characteristic
760	#13133176	C₂³	1	1	yes	characteristic
761	#13133176	C₂³	1	1	yes	characteristic
762	#13133176	C₂³	1	1	yes	characteristic
763	#13133175	C₂³	1	4	yes	—
764	#13133175	C₂³	1	4	yes	—
765	#13133175	C₂³	1	4	yes	—
766	#13133175	C₂³	1	2	yes	—
767	#13133175	C₂³	1	2	yes	—
768	#13133175	C₂³	1	2	yes	—
769	#13133175	C₂³	1	2	yes	—
770	#13133175	C₂³	1	4	yes	—
771	#13133174	C₂³	1	4	yes	—
772	#13133174	C₂³	1	4	yes	—
773	#13133174	C₂³	1	4	yes	—
774	#13133174	C₂³	1	1	yes	characteristic
775	#13133174	C₂³	1	1	yes	characteristic
776	#13133174	C₂³	1	1	yes	characteristic
777	#13133174	C₂³	1	1	yes	characteristic
778	#13133174	C₂³	1	1	yes	characteristic
779	#13133174	C₂³	1	1	yes	characteristic
780	#13133174	C₂³	1	1	yes	characteristic
781	#13133174	C₂³	1	1	yes	characteristic
782	#13133174	C₂³	1	1	yes	characteristic
783	#13133174	C₂³	1	1	yes	characteristic
784	#13133173	C₂³	1	4	yes	—
785	C₂×#11719919	C₂³	1	4	yes	—
786	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
787	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
788	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
789	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
790	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
791	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
792	C₂×#11719921	C₂³	1	4	yes	—
793	C₂×#11719921	C₂³	1	4	yes	—
794	C₂×#11719921	C₂³	1	4	yes	—
795	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
796	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
797	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
798	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
799	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
800	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
801	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
802	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
803	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
804	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
805	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
806	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
807	C₄²×D₅₃	C₂³	1	1	yes	characteristic
808	C₄²×D₅₃	C₂³	1	1	yes	characteristic
809	C₄²×D₅₃	C₂³	1	1	yes	characteristic
810	C₄²×D₅₃	C₂³	1	1	yes	characteristic
811	C₄²×D₅₃	C₂³	1	1	yes	characteristic
812	C₄²×D₅₃	C₂³	1	1	yes	characteristic
813	C₄²×D₅₃	C₂³	1	1	yes	characteristic
814	C₄²×D₅₃	C₂³	1	1	yes	characteristic
815	C₄²×D₅₃	C₂³	1	4	yes	—
816	C₄²×D₅₃	C₂³	1	1	yes	characteristic
817	C₄²×D₅₃	C₂³	1	1	yes	characteristic
818	C₂×#41×C₅₃	C₂³	1	2	yes	—
819	C₂×#41×C₅₃	C₂³	1	2	yes	—
820	C₂×#41×C₅₃	C₂³	1	2	yes	—
821	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
822	C₂²×Q₈×C₅₃	C₂³	1	2	yes	—
823	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
824	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
825	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
826	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
827	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
828	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
829	#127×C₅₃	C₂³	1	1	yes	characteristic
830	#126×C₅₃	C₂³	1	4	yes	—
831	#126×C₅₃	C₂³	1	4	yes	—
832	#125×C₅₃	C₂³	1	2	yes	—
833	#125×C₅₃	C₂³	1	2	yes	—
834	#124×C₅₃	C₂³	1	2	yes	—
835	#124×C₅₃	C₂³	1	4	yes	—
836	#124×C₅₃	C₂³	1	2	yes	—
837	#124×C₅₃	C₂³	1	2	yes	—
838	#124×C₅₃	C₂³	1	4	yes	—
839	#123×C₅₃	C₂³	1	4	yes	—
840	#123×C₅₃	C₂³	1	4	yes	—
841	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
842	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
843	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
844	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
845	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
846	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
847	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
848	#121×C₅₃	C₂³	1	2	yes	—
849	#121×C₅₃	C₂³	1	2	yes	—
850	#121×C₅₃	C₂³	1	2	yes	—
851	#121×C₅₃	C₂³	1	4	yes	—
852	#121×C₅₃	C₂³	1	4	yes	—
853	#121×C₅₃	C₂³	1	2	yes	—
854	#121×C₅₃	C₂³	1	2	yes	—
855	#121×C₅₃	C₂³	1	2	yes	—
856	#121×C₅₃	C₂³	1	4	yes	—
857	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
858	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
859	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
860	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
861	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
862	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
863	C₄×D₄×C₅₃	C₂³	1	2	yes	—
864	C₄×D₄×C₅₃	C₂³	1	2	yes	—
865	C₄×D₄×C₅₃	C₂³	1	2	yes	—
866	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
867	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
868	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
869	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
870	C₄×D₄×C₅₃	C₂³	1	4	yes	—
871	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
872	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
873	C₄×D₄×C₅₃	C₂³	1	2	yes	—
874	C₄×D₄×C₅₃	C₂³	1	4	yes	—
875	C₄×D₄×C₅₃	C₂³	1	2	yes	—
876	C₄×D₄×C₅₃	C₂³	1	2	yes	—
877	#117×C₅₃	C₂³	1	1	yes	characteristic
878	#117×C₅₃	C₂³	1	1	yes	characteristic
879	#117×C₅₃	C₂³	1	1	yes	characteristic
880	#117×C₅₃	C₂³	1	4	yes	—
881	#117×C₅₃	C₂³	1	2	yes	—
882	#117×C₅₃	C₂³	1	2	yes	—
883	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
884	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
885	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
886	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
887	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
888	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
889	C₂³×D₅₃	C₂⁴	1	4	yes	—
890	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
891	C₂³×D₅₃	C₂⁴	1	4	yes	—
892	C₂³×D₅₃	C₂⁴	1	4	yes	—
893	#41×C₅₃	—	4	2	no	—
894	#41×C₅₃	—	4	4	no	—
895	#41×C₅₃	—	4	4	no	—
896	#41×C₅₃	—	4	4	no	—
897	C₂×Q₈×C₅₃	—	4	4	no	—
898	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
899	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
900	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
901	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
902	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
903	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
904	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
905	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
906	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
907	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
908	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
909	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
910	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
911	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
912	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
913	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
914	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
915	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
916	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
917	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
918	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
919	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
920	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
921	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
922	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
923	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
924	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
925	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
926	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
927	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
928	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
929	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
930	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
931	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
932	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
933	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
934	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
935	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
936	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
937	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
938	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
939	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
940	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
941	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
942	C₂×C₂²⋊D₅₃	C₂⁴	1	1	yes	characteristic
943	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
944	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
945	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
946	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
947	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
948	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
949	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
950	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
951	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
952	#11719949	—	2	8	no	—
953	#11719949	—	4	8	no	—
954	#11719949	—	4	4	no	—
955	#11719949	—	4	4	no	—
956	#11719949	—	4	4	no	—
957	#11719949	—	4	4	no	—
958	#11719949	—	4	4	no	—
959	Q₈×D₅₃	—	2	8	no	—
960	Q₈×D₅₃	—	4	8	no	—
961	Q₈×D₅₃	—	4	4	no	—
962	#11719947	—	4	4	no	—
963	#11719947	—	4	4	no	—
964	#11719947	—	4	8	no	—
965	D₄×D₅₃	—	2	8	no	—
966	D₄×D₅₃	—	4	4	no	—
967	D₄×D₅₃	—	4	4	no	—
968	D₄×D₅₃	—	4	4	no	—
969	D₄×D₅₃	—	4	4	no	—
970	D₄×D₅₃	—	4	4	no	—
971	D₄×D₅₃	—	4	8	no	—
972	D₄×D₅₃	—	4	8	no	—
973	D₄×D₅₃	—	4	8	no	—
974	#11719945	—	2	4	no	—
975	#11719945	—	2	4	no	—
976	#11719945	—	4	8	no	—
977	#11719945	—	4	8	no	—
978	#11719945	—	4	8	no	—
979	#11719945	—	4	4	no	—
980	#11719945	—	4	4	no	—
981	#11719945	—	4	4	no	—
982	#11719945	—	4	4	no	—
983	#11719945	—	4	2	no	—
984	#11719945	—	4	2	no	—
985	#11719945	—	4	2	no	—
986	#11719945	—	4	8	no	—
987	C₂×D₂₁₂	—	4	4	no	—
988	C₂×D₂₁₂	—	4	4	no	—
989	C₂×D₂₁₂	—	4	4	no	—
990	C₂×D₂₁₂	—	4	8	no	—
991	C₂×D₂₁₂	C₂⁴	1	2	yes	—
992	C₂×D₂₁₂	C₂⁴	1	2	yes	—
993	C₂×D₂₁₂	C₂⁴	1	2	yes	—
994	C₂×D₂₁₂	C₂⁴	1	2	yes	—
995	C₂×D₂₁₂	C₂⁴	1	4	yes	—
996	C₂×D₂₁₂	C₂⁴	1	2	yes	—
997	C₂×D₂₁₂	C₂⁴	1	2	yes	—
998	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
999	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
1000	C₂×D₂₁₂	C₂⁴	1	4	yes	—
1001	C₂×D₂₁₂	C₂⁴	1	4	yes	—
1002	C₂×D₂₁₂	C₂⁴	1	4	yes	—
1003	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
1004	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
1005	C₂×D₂₁₂	C₂⁴	1	4	yes	—
1006	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
1007	C₂×D₂₁₂	C₂⁴	1	4	yes	—
1008	C₂×D₂₁₂	C₂⁴	1	4	yes	—
1009	C₂×D₂₁₂	C₂⁴	1	4	yes	—
1010	C₂×D₂₁₂	C₂⁴	1	4	yes	—
1011	C₂×C₄×D₅₃	—	2	4	no	—
1012	C₂×C₄×D₅₃	—	4	2	no	—
1013	C₂×C₄×D₅₃	—	4	2	no	—
1014	C₂×C₄×D₅₃	—	4	8	no	—
1015	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1016	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1017	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1018	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1019	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1020	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1021	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1022	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1023	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1024	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1025	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1026	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1027	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1028	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1029	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1030	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1031	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1032	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1033	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1034	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1035	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1036	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1037	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1038	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1039	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1040	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1041	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1042	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1043	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1044	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1045	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
1046	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
1047	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
1048	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
1049	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
1050	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
1051	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
1052	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
1053	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
1054	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1055	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1056	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1057	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1058	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1059	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1060	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1061	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1062	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1063	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1064	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1065	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1066	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1067	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1068	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1069	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1070	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1071	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1072	C₂²⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1073	C₂²⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1074	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1075	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1076	C₂²⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1077	C₂²⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1078	C₂²⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1079	C₂²⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1080	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1081	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1082	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1083	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1084	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1085	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1086	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1087	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1088	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1089	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1090	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1091	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1092	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1093	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1094	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1095	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1096	C₄²×C₅₃	C₂⁴	1	4	yes	—
1097	C₄²×C₅₃	C₂⁴	1	4	yes	—
1098	C₂²⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1099	C₂²⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1100	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1101	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1102	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1103	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1104	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1105	C₂²⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1106	C₂²⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1107	C₂²⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1108	C₂²⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1109	C₂²⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1110	C₂²⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1111	C₂²⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1112	C₂²⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1113	#11719921	C₂⁴	1	1	yes	characteristic
1114	#11719921	C₂⁴	1	1	yes	characteristic
1115	#11719921	C₂⁴	1	1	yes	characteristic
1116	#11719921	C₂⁴	1	4	yes	—
1117	#11719921	C₂⁴	1	4	yes	—
1118	#11719921	C₂⁴	1	4	yes	—
1119	#11719921	C₂⁴	1	4	yes	—
1120	#11719921	C₂⁴	1	4	yes	—
1121	#11719921	C₂⁴	1	4	yes	—
1122	#11719921	C₂⁴	1	4	yes	—
1123	#11719921	C₂⁴	1	4	yes	—
1124	#11719921	C₂⁴	1	4	yes	—
1125	#11719921	C₂⁴	1	4	yes	—
1126	#11719921	C₂⁴	1	4	yes	—
1127	#11719921	C₂⁴	1	4	yes	—
1128	#11719921	C₂⁴	1	4	yes	—
1129	#11719921	C₂⁴	1	1	yes	characteristic
1130	#11719921	C₂⁴	1	1	yes	characteristic
1131	#11719921	C₂⁴	1	1	yes	characteristic
1132	#11719921	C₂⁴	1	4	yes	—
1133	#11719921	C₂⁴	1	4	yes	—
1134	#11719921	C₂⁴	1	4	yes	—
1135	#11719921	C₂⁴	1	4	yes	—
1136	#11719921	C₂⁴	1	1	yes	characteristic
1137	#11719921	C₂⁴	1	1	yes	characteristic
1138	#11719921	C₂⁴	1	1	yes	characteristic
1139	#11719921	C₂⁴	1	4	yes	—
1140	#11719921	C₂⁴	1	1	yes	characteristic
1141	#11719921	C₂⁴	1	1	yes	characteristic
1142	#11719921	C₂⁴	1	1	yes	characteristic
1143	#11719921	C₂⁴	1	1	yes	characteristic
1144	#11719921	C₂⁴	1	1	yes	characteristic
1145	#11719921	C₂⁴	1	1	yes	characteristic
1146	#11719921	C₂⁴	1	1	yes	characteristic
1147	#11719921	C₂⁴	1	1	yes	characteristic
1148	#11719921	C₂⁴	1	1	yes	characteristic
1149	#11719921	C₂⁴	1	1	yes	characteristic
1150	#11719921	C₂⁴	1	1	yes	characteristic
1151	#11719921	C₂⁴	1	4	yes	—
1152	#11719921	C₂⁴	1	4	yes	—
1153	#11719921	C₂⁴	1	4	yes	—
1154	#11719921	C₂⁴	1	4	yes	—
1155	#11719921	C₂⁴	1	4	yes	—
1156	#11719921	C₂⁴	1	4	yes	—
1157	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1158	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1159	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1160	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1161	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1162	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1163	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1164	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1165	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1166	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1167	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1168	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1169	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1170	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1171	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1172	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1173	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1174	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1175	#11719919	C₂⁴	1	1	yes	characteristic
1176	#11719919	C₂⁴	1	4	yes	—
1177	#11719919	C₂⁴	1	4	yes	—
1178	#11719919	C₂⁴	1	4	yes	—
1179	#11719919	C₂⁴	1	4	yes	—
1180	#11719919	C₂⁴	1	4	yes	—
1181	#11719919	C₂⁴	1	4	yes	—
1182	#11719919	C₂⁴	1	1	yes	characteristic
1183	#11719919	C₂⁴	1	4	yes	—
1184	#11719919	C₂⁴	1	1	yes	characteristic
1185	#11719919	C₂⁴	1	1	yes	characteristic
1186	#11719919	C₂⁴	1	1	yes	characteristic
1187	#11719919	C₂⁴	1	1	yes	characteristic
1188	#11719919	C₂⁴	1	1	yes	characteristic
1189	#11719919	C₂⁴	1	4	yes	—
1190	#11719919	C₂⁴	1	1	yes	characteristic
1191	#11719919	C₂⁴	1	1	yes	characteristic
1192	#11719919	C₂⁴	1	1	yes	characteristic
1193	#11719919	C₂⁴	1	1	yes	characteristic
1194	#11719919	C₂⁴	1	1	yes	characteristic
1195	#11719919	C₂⁴	1	1	yes	characteristic
1196	#11719919	C₂⁴	1	1	yes	characteristic
1197	#11719919	C₂⁴	1	1	yes	characteristic
1198	#11719919	C₂⁴	1	1	yes	characteristic
1199	#11719919	C₂⁴	1	1	yes	characteristic
1200	#11719919	C₂⁴	1	1	yes	characteristic
1201	#11719919	C₂⁴	1	1	yes	characteristic
1202	#11719919	C₂⁴	1	1	yes	characteristic
1203	#11719919	C₂⁴	1	4	yes	—
1204	#11719919	C₂⁴	1	4	yes	—
1205	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1206	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1207	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1208	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1209	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1210	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1211	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1212	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1213	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1214	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1215	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1216	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1217	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1218	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1219	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1220	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1221	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1222	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1223	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1224	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1225	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1226	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1227	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1228	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1229	C₂³×C₅₃	C₂⁵	1	4	yes	—
1230	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1231	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1232	C₂²×D₅₃	—	2	2	no	—
1233	C₂²×D₅₃	—	2	8	no	—
1234	C₂²×D₅₃	—	4	1	no	—
1235	C₂²×D₅₃	—	4	1	no	—
1236	C₂²×D₅₃	—	4	4	no	—
1237	C₂²×D₅₃	—	4	4	no	—
1238	C₂²×D₅₃	—	4	4	no	—
1239	C₂²×D₅₃	—	4	4	no	—
1240	C₂²×D₅₃	—	4	4	no	—
1241	C₂²×D₅₃	—	4	4	no	—
1242	C₂²×D₅₃	—	4	4	no	—
1243	C₂²×D₅₃	—	4	4	no	—
1244	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1245	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1246	C₂²×D₅₃	C₂⁵	1	4	yes	—
1247	C₂²×D₅₃	C₂⁵	1	4	yes	—
1248	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1249	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1250	Q₈×C₅₃	—	2	4	no	—
1251	Q₈×C₅₃	—	2	4	no	—
1252	Q₈×C₅₃	—	2	4	no	—
1253	Q₈×C₅₃	—	4	4	no	—
1254	Q₈×C₅₃	—	4	1	no	—
1255	D₄×C₅₃	—	2	4	no	—
1256	D₄×C₅₃	—	2	4	no	—
1257	D₄×C₅₃	—	2	4	no	—
1258	D₄×C₅₃	—	4	4	no	—
1259	D₄×C₅₃	—	4	4	no	—
1260	D₄×C₅₃	—	4	1	no	—
1261	D₄×C₅₃	—	4	4	no	—
1262	D₄×C₅₃	—	4	1	no	—
1263	D₄×C₅₃	—	4	1	no	—
1264	C₂×C₄×C₅₃	—	2	2	no	—
1265	C₂×C₄×C₅₃	—	2	2	no	—
1266	C₂×C₄×C₅₃	—	2	2	no	—
1267	C₂×C₄×C₅₃	—	2	2	no	—
1268	C₂×C₄×C₅₃	—	2	2	no	—
1269	C₂×C₄×C₅₃	—	2	2	no	—
1270	C₂×C₄×C₅₃	—	2	2	no	—
1271	C₂×C₄×C₅₃	—	2	2	no	—
1272	C₂×C₄×C₅₃	—	2	2	no	—
1273	C₂×C₄×C₅₃	—	4	4	no	—
1274	C₂×C₄×C₅₃	—	4	4	no	—
1275	C₂×C₄×C₅₃	—	4	4	no	—
1276	C₂×C₄×C₅₃	—	4	4	no	—
1277	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1278	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1279	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1280	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1281	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1282	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1283	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1284	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1285	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1286	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1287	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1288	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1289	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1290	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1291	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1292	C₂²⋊D₅₃	—	2	2	no	—
1293	C₂²⋊D₅₃	—	2	2	no	—
1294	C₂²⋊D₅₃	—	2	2	no	—
1295	C₂²⋊D₅₃	—	2	2	no	—
1296	C₂²⋊D₅₃	—	2	8	no	—
1297	C₂²⋊D₅₃	—	4	4	no	—
1298	C₂²⋊D₅₃	—	4	4	no	—
1299	C₂²⋊D₅₃	—	4	4	no	—
1300	C₂²⋊D₅₃	—	4	4	no	—
1301	C₂²⋊D₅₃	—	4	4	no	—
1302	C₂²⋊D₅₃	—	4	4	no	—
1303	C₂²⋊D₅₃	—	4	1	no	—
1304	C₂²⋊D₅₃	—	4	1	no	—
1305	C₂²⋊D₅₃	—	4	1	no	—
1306	C₂²⋊D₅₃	—	4	1	no	—
1307	C₂²⋊D₅₃	—	4	1	no	—
1308	C₂²⋊D₅₃	—	4	1	no	—
1309	C₂²⋊D₅₃	—	4	4	no	—
1310	C₂²⋊D₅₃	—	4	4	no	—
1311	C₂²⋊D₅₃	—	4	4	no	—
1312	C₂²⋊D₅₃	—	4	4	no	—
1313	C₂²⋊D₅₃	—	4	4	no	—
1314	C₂×Dic₅₃	—	2	2	no	—
1315	C₂×Dic₅₃	—	4	4	no	—
1316	C₂×Dic₅₃	—	4	1	no	—
1317	C₂×Dic₅₃	—	4	1	no	—
1318	C₂×Dic₅₃	—	4	4	no	—
1319	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1320	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1321	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1322	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1323	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1324	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1325	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1326	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1327	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1328	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1329	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1330	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1331	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1332	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1333	D₂₁₂	—	2	2	no	—
1334	D₂₁₂	—	2	8	no	—
1335	D₂₁₂	—	2	2	no	—
1336	D₂₁₂	—	2	4	no	—
1337	D₂₁₂	—	2	4	no	—
1338	D₂₁₂	—	2	4	no	—
1339	D₂₁₂	—	2	4	no	—
1340	D₂₁₂	—	2	4	no	—
1341	D₂₁₂	—	2	4	no	—
1342	D₂₁₂	—	4	4	no	—
1343	D₂₁₂	—	4	4	no	—
1344	D₂₁₂	—	4	4	no	—
1345	D₂₁₂	—	4	4	no	—
1346	D₂₁₂	—	4	1	no	—
1347	D₂₁₂	—	4	1	no	—
1348	D₂₁₂	—	4	1	no	—
1349	D₂₁₂	—	4	4	no	—
1350	D₂₁₂	—	4	4	no	—
1351	D₂₁₂	—	4	4	no	—
1352	D₂₁₂	—	4	4	no	—
1353	C₄×D₅₃	—	2	2	no	—
1354	C₄×D₅₃	—	2	8	no	—
1355	C₄×D₅₃	—	2	2	no	—
1356	C₄×D₅₃	—	2	2	no	—
1357	C₄×D₅₃	—	2	2	no	—
1358	C₄×D₅₃	—	2	2	no	—
1359	C₄×D₅₃	—	2	2	no	—
1360	C₄×D₅₃	—	2	2	no	—
1361	C₄×D₅₃	—	2	2	no	—
1362	C₄×D₅₃	—	2	2	no	—
1363	C₄×D₅₃	—	2	2	no	—
1364	C₄×D₅₃	—	2	2	no	—
1365	C₄×D₅₃	—	2	2	no	—
1366	C₄×D₅₃	—	2	2	no	—
1367	C₄×D₅₃	—	2	8	no	—
1368	C₄×D₅₃	—	4	1	no	—
1369	C₄×D₅₃	—	4	1	no	—
1370	C₄×D₅₃	—	4	1	no	—
1371	C₄×D₅₃	—	4	1	no	—
1372	C₄×D₅₃	—	4	4	no	—
1373	C₄×D₅₃	—	4	4	no	—
1374	C₄×D₅₃	—	4	4	no	—
1375	C₄×D₅₃	—	4	4	no	—
1376	C₄×D₅₃	—	4	4	no	—
1377	C₄×D₅₃	—	4	4	no	—
1378	C₄×D₅₃	—	4	4	no	—
1379	C₄×D₅₃	—	4	4	no	—
1380	C₄×D₅₃	—	4	4	no	—
1381	C₄×D₅₃	—	4	4	no	—
1382	C₄×D₅₃	H(5,𝔽₂)	1	4	yes	—
1383	Dic₁₀₆	—	2	4	no	—
1384	Dic₁₀₆	—	2	4	no	—
1385	Dic₁₀₆	—	2	2	no	—
1386	Dic₁₀₆	—	2	2	no	—
1387	Dic₁₀₆	—	2	8	no	—
1388	Dic₁₀₆	—	4	1	no	—
1389	Dic₁₀₆	—	4	1	no	—
1390	Dic₁₀₆	—	4	1	no	—
1391	Dic₁₀₆	—	4	4	no	—
1392	#62836	—	53	1	no	maximal, Sylow
1393	C₂²×C₅₃	—	2	1	no	—
1394	C₂²×C₅₃	—	2	4	no	—
1395	C₂²×C₅₃	—	2	1	no	—
1396	C₂²×C₅₃	—	2	1	no	—
1397	C₂²×C₅₃	—	2	1	no	—
1398	C₂²×C₅₃	—	2	4	no	—
1399	C₂²×C₅₃	—	2	1	no	—
1400	C₂²×C₅₃	—	2	1	no	—
1401	C₂²×C₅₃	—	2	1	no	—
1402	C₂²×C₅₃	—	2	4	no	—
1403	C₂²×C₅₃	—	2	1	no	—
1404	C₂²×C₅₃	—	2	1	no	—
1405	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1406	C₂×D₅₃	—	2	1	no	—
1407	C₂×D₅₃	—	2	1	no	—
1408	C₂×D₅₃	—	2	1	no	—
1409	C₂×D₅₃	—	2	1	no	—
1410	C₂×D₅₃	—	2	4	no	—
1411	C₂×D₅₃	—	2	1	no	—
1412	C₂×D₅₃	—	2	4	no	—
1413	C₂×D₅₃	—	2	1	no	—
1414	C₂×D₅₃	—	2	1	no	—
1415	C₂×D₅₃	—	2	1	no	—
1416	C₂×D₅₃	—	2	1	no	—
1417	C₂×D₅₃	—	2	1	no	—
1418	C₂×D₅₃	—	2	1	no	—
1419	C₂×D₅₃	—	2	4	no	—
1420	C₂×D₅₃	—	2	4	no	—
1421	C₂×D₅₃	—	2	4	no	—
1422	C₂×D₅₃	—	2	4	no	—
1423	C₂×D₅₃	—	4	4	no	—
1424	C₂×D₅₃	—	8	8	no	—
1425	C₂×D₅₃	—	16	4	no	—
1426	C₂×D₅₃	—	16	4	no	—
1427	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1428	C₄×C₅₃	—	2	4	no	—
1429	C₄×C₅₃	—	2	1	no	—
1430	C₄×C₅₃	—	2	1	no	—
1431	C₄×C₅₃	—	2	4	no	—
1432	C₄×C₅₃	—	2	1	no	—
1433	C₄×C₅₃	—	2	1	no	—
1434	C₄×C₅₃	—	2	1	no	—
1435	C₄×C₅₃	—	2	1	no	—
1436	C₄×C₅₃	—	2	1	no	—
1437	C₄×C₅₃	—	2	4	no	—
1438	C₄×C₅₃	—	2	1	no	—
1439	C₄×C₅₃	—	2	1	no	—
1440	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1441	C₄×C₅₃	#585	1	2	yes	—
1442	C₄×C₅₃	#585	1	2	yes	—
1443	Dic₅₃	—	2	4	no	—
1444	Dic₅₃	—	2	1	no	—
1445	Dic₅₃	—	2	1	no	—
1446	Dic₅₃	—	2	1	no	—
1447	Dic₅₃	—	2	4	no	—
1448	Dic₅₃	—	2	1	no	—
1449	Dic₅₃	—	2	1	no	—
1450	Dic₅₃	—	2	1	no	—
1451	Dic₅₃	—	2	1	no	—
1452	Dic₅₃	—	2	1	no	—
1453	Dic₅₃	—	2	1	no	—
1454	Dic₅₃	—	2	1	no	—
1455	Dic₅₃	—	2	1	no	—
1456	Dic₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1457	#3562	—	53	2	no	—
1458	#3562	—	53	2	no	—
1459	#3562	—	53	2	no	—
1460	#3562	—	53	2	no	—
1461	#3554	—	53	2	no	—
1462	#3554	—	53	2	no	—
1463	#3546	—	53	2	no	—
1464	#3546	—	53	2	no	—
1465	#3542	—	53	2	no	—
1466	#3542	—	53	2	no	—
1467	#3542	—	53	2	no	—
1468	#3542	—	53	2	no	—
1469	#3517	—	53	2	no	—
1470	#3517	—	53	2	no	—
1471	#3514	—	53	2	no	—
1472	#3514	—	53	2	no	—
1473	#3513	—	53	2	no	—
1474	#3513	—	53	2	no	—
1475	#3513	—	53	2	no	—
1476	#3513	—	53	2	no	—
1477	#3511	—	53	1	no	—
1478	#3511	—	53	1	no	—
1479	#3511	—	53	1	no	—
1480	#3511	D₅₃	1	1	yes	characteristic, complemented
1481	#3510	—	53	2	no	—
1482	#3509	—	53	1	no	—
1483	#3508	—	53	1	no	—
1484	#3508	—	53	1	no	—
1485	#3508	—	53	1	no	—
1486	#3508	—	53	1	no	—
1487	#3508	—	53	1	no	—
1488	#3500	—	53	2	no	—
1489	#3499	—	53	1	no	—
1490	#3498	—	53	1	no	—
1491	#3487	—	53	2	no	—
1492	#3485	—	53	2	no	—
1493	#3444	—	53	1	no	—
1494	#3444	—	53	1	no	—
1495	C₂×#532	—	53	1	no	—
1496	C₂×C₅₃	—	4	1	no	—
1497	C₂×C₅₃	—	4	4	no	—
1498	C₂×C₅₃	—	4	1	no	—
1499	C₂×C₅₃	—	4	1	no	—
1500	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1501	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1502	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1503	D₅₃	—	2	2	no	—
1504	D₅₃	—	4	1	no	—
1505	D₅₃	—	4	1	no	—
1506	D₅₃	—	4	4	no	—
1507	D₅₃	—	4	4	no	—
1508	D₅₃	—	4	1	no	—
1509	C₂×2₋¹⁺⁴	—	53	2	no	—
1510	C₂×H(5,𝔽₂)	—	53	2	no	—
1511	C₂²×#41	—	53	2	no	—
1512	#562	—	53	4	no	—
1513	#562	—	53	4	no	—
1514	#562	—	53	4	no	—
1515	#562	—	53	4	no	—
1516	#560	—	53	4	no	—
1517	#560	—	53	4	no	—
1518	#560	—	53	4	no	—
1519	#560	—	53	4	no	—
1520	#559	—	53	2	no	—
1521	#559	—	53	2	no	—
1522	#559	—	53	2	no	—
1523	#559	—	53	2	no	—
1524	#559	—	53	2	no	—
1525	#559	—	53	2	no	—
1526	#559	—	53	2	no	—
1527	#559	—	53	2	no	—
1528	#559	—	53	2	no	—
1529	#559	—	53	2	no	—
1530	#557	—	53	2	no	—
1531	#557	—	53	2	no	—
1532	#556	—	53	2	no	—
1533	#556	—	53	2	no	—
1534	#556	—	53	2	no	—
1535	#556	—	53	2	no	—
1536	#556	—	53	2	no	—
1537	#556	C₂×D₅₃	1	2	yes	complemented
1538	#555	—	53	2	no	—
1539	#555	—	53	2	no	—
1540	#555	—	53	2	no	—
1541	#555	C₂×D₅₃	1	2	yes	complemented
1542	#554	—	53	2	no	—
1543	#554	—	53	2	no	—
1544	#554	—	53	2	no	—
1545	#554	C₂×D₅₃	1	2	yes	complemented
1546	#553	—	53	4	no	—
1547	#553	—	53	2	no	—
1548	#553	—	53	2	no	—
1549	#553	—	53	4	no	—
1550	#553	—	53	2	no	—
1551	#553	—	53	4	no	—
1552	#553	—	53	2	no	—
1553	#553	—	53	2	no	—
1554	#553	—	53	2	no	—
1555	#553	—	53	4	no	—
1556	#553	C₂×D₅₃	1	2	yes	complemented
1557	#553	C₂×D₅₃	1	2	yes	complemented
1558	#552	—	53	2	no	—
1559	#552	—	53	2	no	—
1560	#552	—	53	2	no	—
1561	#552	—	53	2	no	—
1562	#551	—	53	4	no	—
1563	#551	—	53	4	no	—
1564	#551	—	53	4	no	—
1565	#551	—	53	4	no	—
1566	#551	—	53	4	no	—
1567	#551	—	53	4	no	—
1568	#551	—	53	4	no	—
1569	#551	—	53	4	no	—
1570	#550	—	53	2	no	—
1571	#550	—	53	2	no	—
1572	#550	—	53	2	no	—
1573	#550	—	53	2	no	—
1574	#550	—	53	4	no	—
1575	#550	—	53	2	no	—
1576	#550	—	53	2	no	—
1577	#550	—	53	2	no	—
1578	#550	—	53	2	no	—
1579	#550	—	53	2	no	—
1580	#550	—	53	4	no	—
1581	#550	—	53	2	no	—
1582	#550	—	53	2	no	—
1583	#550	—	53	2	no	—
1584	D₄×Q₈	—	53	2	no	—
1585	D₄×Q₈	—	53	2	no	—
1586	#548	—	53	2	no	—
1587	#548	—	53	2	no	—
1588	#548	—	53	2	no	—
1589	#548	—	53	2	no	—
1590	#548	—	53	4	no	—
1591	#548	—	53	2	no	—
1592	#548	—	53	4	no	—
1593	#548	—	53	2	no	—
1594	#548	C₂×D₅₃	1	2	yes	complemented
1595	#548	C₂×D₅₃	1	2	yes	complemented
1596	#547	—	53	2	no	—
1597	#547	—	53	2	no	—
1598	#547	—	53	2	no	—
1599	#547	—	53	2	no	—
1600	#547	—	53	4	no	—
1601	#547	—	53	2	no	—
1602	#547	—	53	4	no	—
1603	#547	—	53	2	no	—
1604	#547	—	53	2	no	—
1605	#547	—	53	2	no	—
1606	#547	—	53	2	no	—
1607	#547	C₂×D₅₃	1	2	yes	complemented
1608	#546	—	53	2	no	—
1609	#546	—	53	2	no	—
1610	#546	—	53	2	no	—
1611	#546	—	53	2	no	—
1612	#546	—	53	4	no	—
1613	#546	—	53	2	no	—
1614	#546	—	53	2	no	—
1615	#546	—	53	4	no	—
1616	#546	—	53	2	no	—
1617	#546	—	53	2	no	—
1618	#546	—	53	4	no	—
1619	#546	—	53	2	no	—
1620	#546	—	53	2	no	—
1621	#546	—	53	2	no	—
1622	#546	—	53	4	no	—
1623	#546	—	53	2	no	—
1624	#546	—	53	2	no	—
1625	#546	—	53	4	no	—
1626	#546	—	53	2	no	—
1627	#546	—	53	2	no	—
1628	#546	—	53	2	no	—
1629	#546	—	53	2	no	—
1630	#546	—	53	2	no	—
1631	#546	—	53	4	no	—
1632	#546	—	53	2	no	—
1633	#546	—	53	2	no	—
1634	D₄²	—	53	2	no	—
1635	D₄²	—	53	2	no	—
1636	D₄²	—	53	2	no	—
1637	D₄²	—	53	2	no	—
1638	D₄²	—	53	2	no	—
1639	D₄²	—	53	2	no	—
1640	#542	—	53	2	no	—
1641	#542	—	53	2	no	—
1642	#542	—	53	4	no	—
1643	#542	—	53	4	no	—
1644	#542	—	53	2	no	—
1645	#542	—	53	2	no	—
1646	#542	—	53	2	no	—
1647	#542	—	53	2	no	—
1648	#542	C₂×D₅₃	1	2	yes	complemented
1649	#542	C₂×D₅₃	1	2	yes	complemented
1650	#541	—	53	2	no	—
1651	#541	—	53	2	no	—
1652	#540	—	53	2	no	—
1653	#540	—	53	2	no	—
1654	#540	—	53	4	no	—
1655	#540	—	53	2	no	—
1656	#540	—	53	2	no	—
1657	#540	—	53	2	no	—
1658	#540	—	53	4	no	—
1659	#540	—	53	2	no	—
1660	#540	—	53	2	no	—
1661	#540	—	53	2	no	—
1662	#540	—	53	4	no	—
1663	#540	—	53	2	no	—
1664	#540	—	53	2	no	—
1665	#540	—	53	4	no	—
1666	#539	—	53	4	no	—
1667	#539	—	53	4	no	—
1668	#539	—	53	4	no	—
1669	#539	—	53	4	no	—
1670	#538	—	53	4	no	—
1671	#538	—	53	4	no	—
1672	#538	—	53	4	no	—
1673	#538	—	53	4	no	—
1674	#538	—	53	4	no	—
1675	#538	—	53	4	no	—
1676	#538	—	53	4	no	—
1677	#538	—	53	4	no	—
1678	#537	—	53	2	no	—
1679	#537	—	53	2	no	—
1680	#537	—	53	2	no	—
1681	#537	C₂×D₅₃	1	2	yes	complemented
1682	#536	—	53	2	no	—
1683	#536	—	53	2	no	—
1684	#536	—	53	2	no	—
1685	#536	—	53	2	no	—
1686	#536	—	53	4	no	—
1687	#535	—	53	2	no	—
1688	#535	—	53	2	no	—
1689	#535	—	53	2	no	—
1690	#535	—	53	4	no	—
1691	#535	—	53	2	no	—
1692	#535	—	53	2	no	—
1693	#535	—	53	4	no	—
1694	#535	—	53	4	no	—
1695	#535	—	53	2	no	—
1696	#535	—	53	2	no	—
1697	#535	—	53	2	no	—
1698	#534	—	53	4	no	—
1699	#534	—	53	4	no	—
1700	#533	—	53	1	no	—
1701	#533	—	53	1	no	—
1702	#533	—	53	1	no	—
1703	#533	—	53	1	no	—
1704	#533	—	53	1	no	—
1705	#533	—	53	1	no	—
1706	#533	—	53	1	no	—
1707	#533	—	53	1	no	—
1708	#533	C₂×D₅₃	1	1	yes	characteristic, complemented
1709	#533	C₂×D₅₃	1	1	yes	characteristic, complemented
1710	#532	—	53	2	no	—
1711	#532	—	53	1	no	—
1712	#532	—	53	1	no	—
1713	#532	—	53	1	no	—
1714	#532	—	53	1	no	—
1715	#532	—	53	1	no	—
1716	#532	—	53	1	no	—
1717	#532	—	53	1	no	—
1718	#532	—	53	1	no	—
1719	#532	—	53	1	no	—
1720	#532	—	53	2	no	—
1721	#532	—	53	2	no	—
1722	#532	—	53	2	no	—
1723	#532	—	53	2	no	—
1724	#532	—	53	2	no	—
1725	#532	—	53	1	no	—
1726	#532	—	53	1	no	—
1727	#532	—	53	4	no	—
1728	#532	—	53	1	no	—
1729	#532	—	53	1	no	—
1730	#532	—	53	1	no	—
1731	#532	—	53	1	no	—
1732	#532	C₂×D₅₃	1	1	yes	characteristic, complemented
1733	#532	C₂×D₅₃	1	1	yes	characteristic, complemented
1734	#532	C₂×D₅₃	1	1	yes	characteristic, complemented
1735	C₂×C₄⋊Q₈	—	53	1	no	—
1736	C₂×C₄⋊Q₈	—	53	1	no	—
1737	C₂×C₄⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1738	C₂×#127	—	53	1	no	—
1739	C₂×#127	—	53	1	no	—
1740	C₂×#127	—	53	1	no	—
1741	#529	—	53	4	no	—
1742	#529	—	53	2	no	—
1743	#529	—	53	2	no	—
1744	#529	—	53	2	no	—
1745	#529	—	53	2	no	—
1746	#529	—	53	1	no	—
1747	#529	—	53	2	no	—
1748	#529	—	53	1	no	—
1749	#529	—	53	2	no	—
1750	#529	—	53	1	no	—
1751	#529	—	53	1	no	—
1752	#529	—	53	1	no	—
1753	#529	—	53	1	no	—
1754	#529	—	53	1	no	—
1755	#529	—	53	1	no	—
1756	#529	—	53	1	no	—
1757	#529	—	53	1	no	—
1758	#529	—	53	1	no	—
1759	#529	—	53	1	no	—
1760	#529	—	53	4	no	—
1761	C₂×#124	—	53	2	no	—
1762	C₂×#124	—	53	4	no	—
1763	#525	—	53	1	no	—
1764	#525	—	53	2	no	—
1765	#525	—	53	2	no	—
1766	#525	—	53	4	no	—
1767	#525	—	53	1	no	—
1768	#525	—	53	1	no	—
1769	#525	—	53	1	no	—
1770	#525	—	53	1	no	—
1771	#525	—	53	4	no	—
1772	#525	—	53	2	no	—
1773	#525	—	53	1	no	—
1774	C₂×#123	—	53	4	no	—
1775	C₂×#123	—	53	4	no	—
1776	C₂×#121	—	53	2	no	—
1777	C₂×#121	—	53	2	no	—
1778	#520	—	53	2	no	—
1779	#520	—	53	2	no	—
1780	#520	—	53	2	no	—
1781	#520	C₂×D₅₃	1	2	yes	complemented
1782	#519	—	53	2	no	—
1783	#518	—	53	2	no	—
1784	#518	—	53	2	no	—
1785	#518	—	53	2	no	—
1786	#518	—	53	2	no	—
1787	#518	—	53	2	no	—
1788	C₄×#41	—	53	2	no	—
1789	C₄×#41	—	53	2	no	—
1790	C₄×#41	—	53	2	no	—
1791	C₄×#41	—	53	1	no	—
1792	C₄×#41	—	53	1	no	—
1793	C₄×#41	—	53	1	no	—
1794	C₄×#41	—	53	1	no	—
1795	C₄×#41	—	53	1	no	—
1796	C₄×#41	C₂×D₅₃	1	1	yes	characteristic, complemented
1797	C₂×C₄×D₄	—	53	2	no	—
1798	C₂×C₄×D₄	—	53	2	no	—
1799	C₂²×C₄²	—	53	1	no	—
1800	C₅₃	#62836	1	1	yes	characteristic, complemented, Sylow
1801	2₋¹⁺⁴	—	212	8	no	—
1802	H(5,𝔽₂)	—	212	8	no	—
1803	C₂×#41	—	53	2	no	—
1804	C₂×#41	—	53	2	no	—
1805	C₂×#41	—	53	2	no	—
1806	C₂×#41	—	53	4	no	—
1807	C₂×#41	—	53	2	no	—
1808	C₂×#41	—	53	2	no	—
1809	C₂×#41	—	53	2	no	—
1810	C₂×#41	—	53	2	no	—
1811	C₂×#41	—	53	4	no	—
1812	C₂×#41	—	53	2	no	—
1813	C₂×#41	—	53	1	no	—
1814	C₂×#41	—	53	1	no	—
1815	C₂×#41	—	53	1	no	—
1816	C₂×#41	—	53	1	no	—
1817	C₂×#41	—	53	1	no	—
1818	C₂×#41	—	53	2	no	—
1819	C₂×#41	—	53	2	no	—
1820	C₂×#41	—	53	4	no	—
1821	C₂×#41	—	53	4	no	—
1822	C₂×#41	—	53	2	no	—
1823	C₂×#41	—	53	4	no	—
1824	C₂×#41	—	53	2	no	—
1825	C₂×#41	—	53	4	no	—
1826	C₂×#41	—	212	8	no	—
1827	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1828	C₂×#41	C₂²×D₅₃	1	2	yes	—
1829	C₂×#41	C₂²×D₅₃	1	2	yes	—
1830	C₂×#41	C₂²×D₅₃	1	2	yes	—
1831	C₂²×Q₈	—	53	2	no	—
1832	C₂²×Q₈	—	53	4	no	—
1833	C₂²×Q₈	—	53	2	no	—
1834	C₂²×Q₈	C₂²×D₅₃	1	2	yes	—
1835	C₂²×D₄	—	53	2	no	—
1836	C₂²×D₄	—	53	2	no	—
1837	C₂²×D₄	—	53	2	no	—
1838	C₂²×D₄	—	53	2	no	—
1839	C₂²×D₄	—	53	2	no	—
1840	C₂²×D₄	—	53	4	no	—
1841	C₂²×D₄	—	53	4	no	—
1842	C₂²×D₄	—	53	4	no	—
1843	C₂²×D₄	—	53	2	no	—
1844	C₂²×D₄	—	53	2	no	—
1845	C₂²×D₄	—	53	2	no	—
1846	C₂²×D₄	—	53	4	no	—
1847	C₂²×D₄	—	53	2	no	—
1848	C₂³×C₄	—	53	1	no	—
1849	C₂³×C₄	—	53	4	no	—
1850	C₂³×C₄	—	53	1	no	—
1851	C₂³×C₄	—	53	1	no	—
1852	C₄⋊Q₈	—	53	2	no	—
1853	C₄⋊Q₈	—	53	2	no	—
1854	C₄⋊Q₈	—	53	1	no	—
1855	C₄⋊Q₈	—	53	2	no	—
1856	C₄⋊Q₈	—	53	2	no	—
1857	C₄⋊Q₈	—	53	2	no	—
1858	C₄⋊Q₈	—	53	2	no	—
1859	C₄⋊Q₈	—	53	1	no	—
1860	C₄⋊Q₈	—	53	1	no	—
1861	C₄⋊Q₈	—	53	4	no	—
1862	C₄⋊Q₈	—	53	1	no	—
1863	C₄⋊Q₈	—	53	1	no	—
1864	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1865	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1866	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	—
1867	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	—
1868	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	—
1869	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1870	#127	—	53	2	no	—
1871	#127	—	53	2	no	—
1872	#127	—	53	2	no	—
1873	#127	—	53	2	no	—
1874	#127	—	53	2	no	—
1875	#127	—	53	2	no	—
1876	#127	—	53	1	no	—
1877	#127	—	53	4	no	—
1878	#127	—	53	4	no	—
1879	#127	—	53	4	no	—
1880	#127	—	53	4	no	—
1881	#127	—	53	1	no	—
1882	#127	—	53	1	no	—
1883	#127	—	53	2	no	—
1884	#127	—	53	2	no	—
1885	#127	—	53	2	no	—
1886	#127	—	53	4	no	—
1887	#127	C₂²×D₅₃	1	1	yes	characteristic
1888	#126	—	53	4	no	—
1889	#126	—	53	4	no	—
1890	#126	—	53	1	no	—
1891	#126	—	53	1	no	—
1892	#126	—	53	1	no	—
1893	#126	—	53	1	no	—
1894	#126	—	53	4	no	—
1895	#126	—	53	4	no	—
1896	#126	—	53	4	no	—
1897	#126	—	53	4	no	—
1898	#126	—	53	1	no	—
1899	#126	—	53	1	no	—
1900	#126	—	53	1	no	—
1901	#126	—	53	1	no	—
1902	#126	—	53	4	no	—
1903	#126	—	53	4	no	—
1904	#126	—	53	4	no	—
1905	#126	—	53	4	no	—
1906	#126	—	53	4	no	—
1907	#126	—	53	4	no	—
1908	#126	C₂²×D₅₃	1	4	yes	—
1909	#126	C₂²×D₅₃	1	4	yes	—
1910	#125	—	53	1	no	—
1911	#125	—	53	1	no	—
1912	#125	—	53	1	no	—
1913	#125	—	53	1	no	—
1914	#125	—	53	1	no	—
1915	#125	—	53	1	no	—
1916	#125	—	53	2	no	—
1917	#125	—	53	2	no	—
1918	#125	—	53	2	no	—
1919	#125	—	53	2	no	—
1920	#125	—	53	4	no	—
1921	#125	—	53	4	no	—
1922	#125	—	53	4	no	—
1923	#125	—	53	2	no	—
1924	#125	—	53	4	no	—
1925	#125	C₂²×D₅₃	1	2	yes	—
1926	#125	C₂²×D₅₃	1	2	yes	—
1927	#124	—	53	2	no	—
1928	#124	—	53	4	no	—
1929	#124	—	53	2	no	—
1930	#124	—	53	1	no	—
1931	#124	—	53	2	no	—
1932	#124	—	53	2	no	—
1933	#124	—	53	2	no	—
1934	#124	—	53	2	no	—
1935	#124	—	53	4	no	—
1936	#124	—	53	4	no	—
1937	#124	—	53	2	no	—
1938	#124	—	53	4	no	—
1939	#124	—	53	1	no	—
1940	#124	—	53	2	no	—
1941	#124	—	53	1	no	—
1942	#124	—	53	4	no	—
1943	#124	—	53	4	no	—
1944	#124	—	53	4	no	—
1945	#124	—	53	4	no	—
1946	#124	—	53	1	no	—
1947	#124	—	53	1	no	—
1948	#124	—	53	1	no	—
1949	#124	—	53	4	no	—
1950	#124	—	53	4	no	—
1951	#124	—	53	4	no	—
1952	#124	—	53	4	no	—
1953	#124	—	53	2	no	—
1954	#124	—	53	4	no	—
1955	#124	—	53	2	no	—
1956	#124	—	53	2	no	—
1957	#124	—	53	2	no	—
1958	#124	—	53	4	no	—
1959	#124	C₂²×D₅₃	1	2	yes	—
1960	#124	C₂²×D₅₃	1	4	yes	—
1961	#124	C₂²×D₅₃	1	2	yes	—
1962	#124	C₂²×D₅₃	1	2	yes	—
1963	#124	C₂²×D₅₃	1	4	yes	—
1964	#123	—	53	4	no	—
1965	#123	—	53	1	no	—
1966	#123	—	53	1	no	—
1967	#123	—	53	4	no	—
1968	#123	—	53	4	no	—
1969	#123	—	53	4	no	—
1970	#123	—	53	4	no	—
1971	#123	—	53	4	no	—
1972	#123	—	53	4	no	—
1973	#123	—	53	1	no	—
1974	#123	—	53	4	no	—
1975	#123	—	53	4	no	—
1976	#123	—	53	4	no	—
1977	#123	—	53	4	no	—
1978	#123	—	53	4	no	—
1979	#123	—	53	4	no	—
1980	#123	—	53	4	no	—
1981	#123	—	53	4	no	—
1982	#123	—	53	1	no	—
1983	#123	—	53	1	no	—
1984	#123	—	53	1	no	—
1985	#123	—	53	4	no	—
1986	#123	—	53	4	no	—
1987	#123	—	53	4	no	—
1988	#123	—	53	4	no	—
1989	#123	—	53	4	no	—
1990	#123	—	53	4	no	—
1991	#123	—	53	4	no	—
1992	#123	—	53	4	no	—
1993	#123	—	53	4	no	—
1994	#123	—	53	4	no	—
1995	#123	—	53	1	no	—
1996	#123	—	53	4	no	—
1997	#123	—	53	4	no	—
1998	#123	—	53	1	no	—
1999	#123	—	53	1	no	—
2000	#123	—	53	1	no	—
2001	#123	—	53	1	no	—
2002	#123	—	53	1	no	—
2003	#123	—	53	4	no	—
2004	#123	—	53	4	no	—
2005	#123	—	53	4	no	—
2006	#123	—	53	4	no	—
2007	#123	—	53	4	no	—
2008	#123	—	53	4	no	—
2009	#123	—	53	4	no	—
2010	#123	—	53	4	no	—
2011	#123	—	53	4	no	—
2012	#123	—	53	4	no	—
2013	#123	C₂²×D₅₃	1	4	yes	—
2014	#123	C₂²×D₅₃	1	4	yes	—
2015	C₂²⋊Q₈	—	53	2	no	—
2016	C₂²⋊Q₈	—	53	2	no	—
2017	C₂²⋊Q₈	—	53	1	no	—
2018	C₂²⋊Q₈	—	53	1	no	—
2019	C₂²⋊Q₈	—	53	4	no	—
2020	C₂²⋊Q₈	—	53	2	no	—
2021	C₂²⋊Q₈	—	53	2	no	—
2022	C₂²⋊Q₈	—	53	4	no	—
2023	C₂²⋊Q₈	—	53	4	no	—
2024	C₂²⋊Q₈	—	53	4	no	—
2025	C₂²⋊Q₈	—	53	2	no	—
2026	C₂²⋊Q₈	—	53	2	no	—
2027	C₂²⋊Q₈	—	53	4	no	—
2028	C₂²⋊Q₈	—	53	2	no	—
2029	C₂²⋊Q₈	—	53	2	no	—
2030	C₂²⋊Q₈	—	53	1	no	—
2031	C₂²⋊Q₈	—	53	1	no	—
2032	C₂²⋊Q₈	—	53	1	no	—
2033	C₂²⋊Q₈	—	53	1	no	—
2034	C₂²⋊Q₈	—	53	1	no	—
2035	C₂²⋊Q₈	—	53	1	no	—
2036	C₂²⋊Q₈	—	53	4	no	—
2037	C₂²⋊Q₈	—	53	4	no	—
2038	C₂²⋊Q₈	—	53	4	no	—
2039	C₂²⋊Q₈	—	53	2	no	—
2040	C₂²⋊Q₈	—	53	2	no	—
2041	C₂²⋊Q₈	—	53	4	no	—
2042	C₂²⋊Q₈	—	53	4	no	—
2043	C₂²⋊Q₈	—	53	4	no	—
2044	C₂²⋊Q₈	—	53	4	no	—
2045	C₂²⋊Q₈	—	53	4	no	—
2046	C₂²⋊Q₈	—	53	1	no	—
2047	C₂²⋊Q₈	—	53	1	no	—
2048	C₂²⋊Q₈	—	53	1	no	—
2049	C₂²⋊Q₈	—	53	1	no	—
2050	C₂²⋊Q₈	—	53	4	no	—
2051	C₂²⋊Q₈	—	53	4	no	—
2052	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
2053	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
2054	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
2055	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
2056	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
2057	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
2058	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
2059	#121	—	53	2	no	—
2060	#121	—	53	4	no	—
2061	#121	—	53	2	no	—
2062	#121	—	53	4	no	—
2063	#121	—	53	1	no	—
2064	#121	—	53	1	no	—
2065	#121	—	53	1	no	—
2066	#121	—	53	1	no	—
2067	#121	—	53	1	no	—
2068	#121	—	53	1	no	—
2069	#121	—	53	4	no	—
2070	#121	—	53	2	no	—
2071	#121	—	53	2	no	—
2072	#121	—	53	4	no	—
2073	#121	—	53	4	no	—
2074	#121	—	53	4	no	—
2075	#121	—	53	4	no	—
2076	#121	—	53	4	no	—
2077	#121	—	53	4	no	—
2078	#121	—	53	4	no	—
2079	#121	—	53	2	no	—
2080	#121	—	53	2	no	—
2081	#121	—	53	2	no	—
2082	#121	—	53	2	no	—
2083	#121	—	53	4	no	—
2084	#121	—	53	2	no	—
2085	#121	—	53	2	no	—
2086	#121	—	53	2	no	—
2087	#121	—	53	2	no	—
2088	#121	—	53	4	no	—
2089	#121	—	53	4	no	—
2090	#121	—	53	4	no	—
2091	#121	—	53	4	no	—
2092	#121	—	53	4	no	—
2093	#121	—	53	4	no	—
2094	#121	—	53	2	no	—
2095	#121	—	53	2	no	—
2096	#121	—	53	2	no	—
2097	#121	—	53	2	no	—
2098	#121	—	53	2	no	—
2099	#121	—	53	1	no	—
2100	#121	—	53	2	no	—
2101	#121	—	53	1	no	—
2102	#121	—	53	4	no	—
2103	#121	—	53	2	no	—
2104	#121	—	53	2	no	—
2105	#121	—	53	2	no	—
2106	#121	—	53	2	no	—
2107	#121	—	53	2	no	—
2108	#121	—	53	2	no	—
2109	#121	—	53	4	no	—
2110	#121	—	53	4	no	—
2111	#121	—	53	4	no	—
2112	#121	—	53	4	no	—
2113	#121	—	53	4	no	—
2114	#121	—	53	4	no	—
2115	#121	—	53	4	no	—
2116	#121	—	53	1	no	—
2117	#121	—	53	1	no	—
2118	#121	—	53	1	no	—
2119	#121	—	53	1	no	—
2120	#121	—	53	4	no	—
2121	#121	—	53	4	no	—
2122	#121	—	53	4	no	—
2123	#121	—	53	4	no	—
2124	#121	—	53	4	no	—
2125	#121	—	53	4	no	—
2126	#121	—	53	4	no	—
2127	#121	—	53	4	no	—
2128	#121	—	53	4	no	—
2129	#121	—	53	4	no	—
2130	#121	—	53	4	no	—
2131	#121	—	53	4	no	—
2132	#121	—	53	4	no	—
2133	#121	—	53	4	no	—
2134	#121	C₂²×D₅₃	1	2	yes	—
2135	#121	C₂²×D₅₃	1	2	yes	—
2136	#121	C₂²×D₅₃	1	2	yes	—
2137	#121	C₂²×D₅₃	1	2	yes	—
2138	#121	C₂²×D₅₃	1	2	yes	—
2139	#121	C₂²×D₅₃	1	2	yes	—
2140	#121	C₂²×D₅₃	1	4	yes	—
2141	#121	C₂²×D₅₃	1	4	yes	—
2142	#121	C₂²×D₅₃	1	4	yes	—
2143	#120	—	53	1	no	—
2144	#120	—	53	1	no	—
2145	#120	—	53	4	no	—
2146	#120	—	53	4	no	—
2147	#120	—	53	4	no	—
2148	#120	—	53	4	no	—
2149	#120	—	53	4	no	—
2150	#120	—	53	4	no	—
2151	#120	—	53	4	no	—
2152	#120	—	53	1	no	—
2153	#120	—	53	4	no	—
2154	#120	—	53	1	no	—
2155	#120	—	53	4	no	—
2156	#120	—	53	4	no	—
2157	#120	—	53	4	no	—
2158	#120	—	53	4	no	—
2159	#120	—	53	4	no	—
2160	#120	—	53	4	no	—
2161	#120	—	53	4	no	—
2162	#120	—	53	4	no	—
2163	#120	—	53	4	no	—
2164	C₄×Q₈	—	53	2	no	—
2165	C₄×Q₈	—	53	2	no	—
2166	C₄×Q₈	—	53	2	no	—
2167	C₄×Q₈	—	53	2	no	—
2168	C₄×Q₈	—	53	2	no	—
2169	C₄×Q₈	—	53	2	no	—
2170	C₄×Q₈	—	53	4	no	—
2171	C₄×Q₈	—	53	2	no	—
2172	C₄×Q₈	—	53	2	no	—
2173	C₄×Q₈	—	53	1	no	—
2174	C₄×Q₈	—	53	1	no	—
2175	C₄×Q₈	—	53	1	no	—
2176	C₄×Q₈	—	53	1	no	—
2177	C₄×Q₈	—	53	1	no	—
2178	C₄×Q₈	—	53	1	no	—
2179	C₄×Q₈	—	53	1	no	—
2180	C₄×Q₈	—	53	1	no	—
2181	C₄×Q₈	—	53	1	no	—
2182	C₄×Q₈	—	53	1	no	—
2183	C₄×Q₈	—	53	4	no	—
2184	C₄×Q₈	—	53	2	no	—
2185	C₄×Q₈	—	53	2	no	—
2186	C₄×Q₈	C₂²×D₅₃	1	2	yes	—
2187	C₄×Q₈	C₂²×D₅₃	1	2	yes	—
2188	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic
2189	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic
2190	C₄×Q₈	C₂²×D₅₃	1	2	yes	—
2191	C₄×Q₈	C₂²×D₅₃	1	2	yes	—
2192	C₄×D₄	—	53	2	no	—
2193	C₄×D₄	—	53	2	no	—
2194	C₄×D₄	—	53	2	no	—
2195	C₄×D₄	—	53	2	no	—
2196	C₄×D₄	—	53	4	no	—
2197	C₄×D₄	—	53	4	no	—
2198	C₄×D₄	—	53	1	no	—
2199	C₄×D₄	—	53	1	no	—
2200	C₄×D₄	—	53	1	no	—
2201	C₄×D₄	—	53	1	no	—
2202	C₄×D₄	—	53	1	no	—
2203	C₄×D₄	—	53	1	no	—
2204	C₄×D₄	—	53	1	no	—
2205	C₄×D₄	—	53	1	no	—
2206	C₄×D₄	—	53	1	no	—
2207	C₄×D₄	—	53	1	no	—
2208	C₄×D₄	—	53	1	no	—
2209	C₄×D₄	—	53	1	no	—
2210	C₄×D₄	—	53	1	no	—
2211	C₄×D₄	—	53	1	no	—
2212	C₄×D₄	—	53	1	no	—
2213	C₄×D₄	—	53	1	no	—
2214	C₄×D₄	—	53	1	no	—
2215	C₄×D₄	—	53	1	no	—
2216	C₄×D₄	—	53	1	no	—
2217	C₄×D₄	—	53	1	no	—
2218	C₄×D₄	—	53	4	no	—
2219	C₄×D₄	—	53	4	no	—
2220	C₄×D₄	—	53	4	no	—
2221	C₄×D₄	—	53	4	no	—
2222	C₄×D₄	—	53	4	no	—
2223	C₄×D₄	—	53	4	no	—
2224	C₄×D₄	—	53	2	no	—
2225	C₄×D₄	—	53	2	no	—
2226	C₄×D₄	—	53	2	no	—
2227	C₄×D₄	—	53	4	no	—
2228	C₄×D₄	—	53	4	no	—
2229	C₄×D₄	—	53	2	no	—
2230	C₄×D₄	—	53	2	no	—
2231	C₄×D₄	—	53	2	no	—
2232	C₄×D₄	—	53	4	no	—
2233	C₄×D₄	—	53	4	no	—
2234	C₄×D₄	—	53	2	no	—
2235	C₄×D₄	—	53	2	no	—
2236	C₄×D₄	—	53	2	no	—
2237	C₄×D₄	—	53	2	no	—
2238	C₄×D₄	—	53	4	no	—
2239	C₄×D₄	—	53	2	no	—
2240	C₄×D₄	—	53	2	no	—
2241	C₄×D₄	—	53	4	no	—
2242	C₄×D₄	—	53	4	no	—
2243	C₄×D₄	—	53	4	no	—
2244	C₄×D₄	—	53	4	no	—
2245	C₄×D₄	—	53	4	no	—
2246	C₄×D₄	—	53	4	no	—
2247	C₄×D₄	—	53	4	no	—
2248	C₄×D₄	—	53	4	no	—
2249	C₄×D₄	—	53	2	no	—
2250	C₄×D₄	—	53	2	no	—
2251	C₄×D₄	—	53	2	no	—
2252	C₄×D₄	—	53	4	no	—
2253	C₄×D₄	—	53	1	no	—
2254	C₄×D₄	—	53	1	no	—
2255	C₄×D₄	—	53	1	no	—
2256	C₄×D₄	—	53	1	no	—
2257	C₄×D₄	—	53	1	no	—
2258	C₄×D₄	—	53	4	no	—
2259	C₄×D₄	—	53	1	no	—
2260	C₄×D₄	—	53	1	no	—
2261	C₄×D₄	—	53	1	no	—
2262	C₄×D₄	—	53	1	no	—
2263	C₄×D₄	—	53	1	no	—
2264	C₄×D₄	—	53	2	no	—
2265	C₄×D₄	—	53	4	no	—
2266	C₄×D₄	—	53	4	no	—
2267	C₄×D₄	—	53	2	no	—
2268	C₄×D₄	—	53	2	no	—
2269	C₄×D₄	—	53	2	no	—
2270	C₄×D₄	—	53	2	no	—
2271	C₄×D₄	—	53	4	no	—
2272	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2273	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2274	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2275	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2276	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2277	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2278	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2279	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2280	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2281	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2282	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2283	C₄×D₄	C₂²×D₅₃	1	4	yes	—
2284	C₄×D₄	C₂²×D₅₃	1	4	yes	—
2285	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2286	#117	—	53	1	no	—
2287	#117	—	53	1	no	—
2288	#117	—	53	1	no	—
2289	#117	—	53	1	no	—
2290	#117	—	53	1	no	—
2291	#117	—	53	2	no	—
2292	#117	—	53	2	no	—
2293	#117	—	53	2	no	—
2294	#117	—	53	4	no	—
2295	#117	—	53	4	no	—
2296	#117	—	53	2	no	—
2297	#117	—	53	2	no	—
2298	#117	—	53	4	no	—
2299	#117	—	53	4	no	—
2300	#117	—	53	4	no	—
2301	#117	—	53	1	no	—
2302	#117	—	53	1	no	—
2303	#117	—	53	1	no	—
2304	#117	—	53	1	no	—
2305	#117	—	53	1	no	—
2306	#117	—	53	1	no	—
2307	#117	—	53	1	no	—
2308	#117	—	53	1	no	—
2309	#117	—	53	1	no	—
2310	#117	—	53	1	no	—
2311	#117	—	53	4	no	—
2312	#117	—	53	4	no	—
2313	#117	—	53	4	no	—
2314	#117	C₂²×D₅₃	1	2	yes	—
2315	#117	C₂²×D₅₃	1	1	yes	characteristic
2316	#117	C₂²×D₅₃	1	1	yes	characteristic
2317	#117	C₂²×D₅₃	1	1	yes	characteristic
2318	#117	C₂²×D₅₃	1	2	yes	—
2319	#117	C₂²×D₅₃	1	4	yes	—
2320	C₂×C₄⋊C₄	—	53	4	no	—
2321	C₂×C₄⋊C₄	—	53	2	no	—
2322	C₂×C₄⋊C₄	—	53	2	no	—
2323	C₂×C₄⋊C₄	—	53	4	no	—
2324	C₂×C₄⋊C₄	—	53	4	no	—
2325	C₂×C₄⋊C₄	—	53	2	no	—
2326	C₂×C₄⋊C₄	—	53	2	no	—
2327	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	—
2328	C₂×C₄⋊C₄	C₂²×D₅₃	1	4	yes	—
2329	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	—
2330	C₂×C₂²⋊C₄	—	53	4	no	—
2331	C₂×C₂²⋊C₄	—	53	4	no	—
2332	C₂×C₂²⋊C₄	—	53	4	no	—
2333	C₂×C₂²⋊C₄	—	53	4	no	—
2334	C₂×C₂²⋊C₄	—	53	4	no	—
2335	C₂×C₂²⋊C₄	—	53	4	no	—
2336	C₂×C₂²⋊C₄	—	53	4	no	—
2337	C₂×C₂²⋊C₄	—	53	4	no	—
2338	C₂×C₂²⋊C₄	—	53	4	no	—
2339	C₂×C₂²⋊C₄	—	53	4	no	—
2340	C₂×C₂²⋊C₄	—	53	4	no	—
2341	C₂×C₂²⋊C₄	—	53	4	no	—
2342	C₂×C₄²	—	53	1	no	—
2343	C₂×C₄²	—	53	1	no	—
2344	C₂×C₄²	—	53	1	no	—
2345	C₂×C₄²	—	53	1	no	—
2346	C₂×C₄²	—	53	1	no	—
2347	C₂×C₄²	—	53	4	no	—
2348	C₂×C₄²	—	53	1	no	—
2349	C₂×C₄²	—	53	1	no	—
2350	C₂×C₄²	—	53	1	no	—
2351	C₂×C₄²	—	53	1	no	—
2352	C₂×C₄²	—	53	1	no	—
2353	C₂×C₄²	—	53	1	no	—
2354	C₂×C₄²	—	53	1	no	—
2355	C₂×C₄²	—	53	1	no	—
2356	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
2357	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
2358	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
2359	C₂⁴	—	53	4	no	—
2360	C₂⁴	—	53	1	no	—
2361	C₂⁴	—	53	4	no	—
2362	C₂⁴	—	53	4	no	—
2363	#41	—	4	2	no	—
2364	#41	—	4	4	no	—
2365	#41	—	4	4	no	—
2366	#41	—	4	4	no	—
2367	#41	—	106	4	no	—
2368	#41	—	106	4	no	—
2369	#41	—	106	8	no	—
2370	#41	—	212	2	no	—
2371	#41	—	212	2	no	—
2372	#41	—	212	2	no	—
2373	#41	—	212	4	no	—
2374	#41	—	212	4	no	—
2375	#41	—	212	4	no	—
2376	#41	—	212	4	no	—
2377	#41	—	212	8	no	—
2378	#41	—	212	8	no	—
2379	#41	—	212	8	no	—
2380	#41	—	212	8	no	—
2381	#41	—	212	4	no	—
2382	#41	—	212	4	no	—
2383	#41	—	212	8	no	—
2384	#41	—	212	8	no	—
2385	#41	—	212	4	no	—
2386	#41	—	212	4	no	—
2387	#41	—	212	4	no	—
2388	#41	—	212	4	no	—
2389	#41	—	212	4	no	—
2390	C₂×Q₈	—	4	4	no	—
2391	C₂×Q₈	—	53	2	no	—
2392	C₂×Q₈	—	53	1	no	—
2393	C₂×Q₈	—	53	4	no	—
2394	C₂×Q₈	—	53	2	no	—
2395	C₂×Q₈	—	53	1	no	—
2396	C₂×Q₈	—	53	1	no	—
2397	C₂×Q₈	—	53	1	no	—
2398	C₂×Q₈	—	53	1	no	—
2399	C₂×Q₈	—	53	4	no	—
2400	C₂×Q₈	—	106	8	no	—
2401	C₂×Q₈	—	212	4	no	—
2402	C₂×Q₈	—	212	8	no	—
2403	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2404	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2405	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2406	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2407	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
2408	C₂×D₄	—	53	1	no	—
2409	C₂×D₄	—	53	1	no	—
2410	C₂×D₄	—	53	1	no	—
2411	C₂×D₄	—	53	4	no	—
2412	C₂×D₄	—	53	1	no	—
2413	C₂×D₄	—	53	1	no	—
2414	C₂×D₄	—	53	1	no	—
2415	C₂×D₄	—	53	1	no	—
2416	C₂×D₄	—	53	1	no	—
2417	C₂×D₄	—	53	4	no	—
2418	C₂×D₄	—	53	4	no	—
2419	C₂×D₄	—	53	4	no	—
2420	C₂×D₄	—	53	4	no	—
2421	C₂×D₄	—	53	4	no	—
2422	C₂×D₄	—	53	4	no	—
2423	C₂×D₄	—	53	4	no	—
2424	C₂×D₄	—	53	1	no	—
2425	C₂×D₄	—	53	1	no	—
2426	C₂×D₄	—	53	4	no	—
2427	C₂×D₄	—	53	4	no	—
2428	C₂×D₄	—	53	4	no	—
2429	C₂×D₄	—	53	4	no	—
2430	C₂×D₄	—	53	2	no	—
2431	C₂×D₄	—	53	2	no	—
2432	C₂×D₄	—	53	2	no	—
2433	C₂×D₄	—	53	2	no	—
2434	C₂×D₄	—	53	1	no	—
2435	C₂×D₄	—	53	4	no	—
2436	C₂×D₄	—	53	1	no	—
2437	C₂×D₄	—	53	2	no	—
2438	C₂×D₄	—	53	2	no	—
2439	C₂×D₄	—	53	1	no	—
2440	C₂×D₄	—	53	1	no	—
2441	C₂×D₄	—	53	4	no	—
2442	C₂×D₄	—	53	4	no	—
2443	C₂×D₄	—	53	4	no	—
2444	C₂×D₄	—	53	4	no	—
2445	C₂×D₄	—	53	1	no	—
2446	C₂×D₄	—	53	4	no	—
2447	C₂×D₄	—	53	4	no	—
2448	C₂×D₄	—	53	4	no	—
2449	C₂×D₄	—	53	4	no	—
2450	C₂×D₄	—	106	8	no	—
2451	C₂×D₄	—	212	4	no	—
2452	C₂×D₄	—	212	4	no	—
2453	C₂×D₄	—	212	4	no	—
2454	C₂×D₄	—	212	8	no	—
2455	C₂×D₄	—	212	4	no	—
2456	C₂×D₄	—	212	4	no	—
2457	C₂×D₄	—	212	4	no	—
2458	C₂×D₄	—	212	4	no	—
2459	C₂×D₄	—	212	4	no	—
2460	C₂×D₄	—	212	8	no	—
2461	C₂×D₄	—	212	8	no	—
2462	C₂×D₄	—	212	8	no	—
2463	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2464	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2465	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2466	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2467	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2468	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2469	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2470	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2471	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2472	C₂²×C₄	—	53	1	no	—
2473	C₂²×C₄	—	53	1	no	—
2474	C₂²×C₄	—	53	1	no	—
2475	C₂²×C₄	—	53	1	no	—
2476	C₂²×C₄	—	53	4	no	—
2477	C₂²×C₄	—	53	4	no	—
2478	C₂²×C₄	—	53	1	no	—
2479	C₂²×C₄	—	53	1	no	—
2480	C₂²×C₄	—	53	1	no	—
2481	C₂²×C₄	—	53	1	no	—
2482	C₂²×C₄	—	53	1	no	—
2483	C₂²×C₄	—	53	1	no	—
2484	C₂²×C₄	—	53	1	no	—
2485	C₂²×C₄	—	53	1	no	—
2486	C₂²×C₄	—	53	1	no	—
2487	C₂²×C₄	—	53	1	no	—
2488	C₂²×C₄	—	53	1	no	—
2489	C₂²×C₄	—	53	1	no	—
2490	C₂²×C₄	—	53	4	no	—
2491	C₂²×C₄	—	53	1	no	—
2492	C₂²×C₄	—	53	4	no	—
2493	C₂²×C₄	—	53	1	no	—
2494	C₂²×C₄	—	53	1	no	—
2495	C₂²×C₄	—	53	1	no	—
2496	C₂²×C₄	—	53	1	no	—
2497	C₂²×C₄	—	53	4	no	—
2498	C₂²×C₄	—	53	4	no	—
2499	C₂²×C₄	—	53	4	no	—
2500	C₂²×C₄	—	53	4	no	—
2501	C₂²×C₄	—	53	4	no	—
2502	C₂²×C₄	—	53	4	no	—
2503	C₂²×C₄	—	53	4	no	—
2504	C₂²×C₄	—	53	4	no	—
2505	C₂²×C₄	—	53	4	no	—
2506	C₂²×C₄	—	53	4	no	—
2507	C₂²×C₄	—	106	4	no	—
2508	C₂²×C₄	—	212	2	no	—
2509	C₂²×C₄	—	212	2	no	—
2510	C₂²×C₄	—	212	8	no	—
2511	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2512	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2513	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2514	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2515	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2516	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2517	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2518	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2519	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2520	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2521	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2522	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2523	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2524	C₄⋊C₄	—	53	1	no	—
2525	C₄⋊C₄	—	53	1	no	—
2526	C₄⋊C₄	—	53	1	no	—
2527	C₄⋊C₄	—	53	2	no	—
2528	C₄⋊C₄	—	53	2	no	—
2529	C₄⋊C₄	—	53	4	no	—
2530	C₄⋊C₄	—	53	4	no	—
2531	C₄⋊C₄	—	53	4	no	—
2532	C₄⋊C₄	—	53	4	no	—
2533	C₄⋊C₄	—	53	4	no	—
2534	C₄⋊C₄	—	53	4	no	—
2535	C₄⋊C₄	—	53	4	no	—
2536	C₄⋊C₄	—	53	4	no	—
2537	C₄⋊C₄	—	53	1	no	—
2538	C₄⋊C₄	—	53	1	no	—
2539	C₄⋊C₄	—	53	1	no	—
2540	C₄⋊C₄	—	53	2	no	—
2541	C₄⋊C₄	—	53	1	no	—
2542	C₄⋊C₄	—	53	1	no	—
2543	C₄⋊C₄	—	53	1	no	—
2544	C₄⋊C₄	—	53	1	no	—
2545	C₄⋊C₄	—	53	1	no	—
2546	C₄⋊C₄	—	53	1	no	—
2547	C₄⋊C₄	—	53	1	no	—
2548	C₄⋊C₄	—	53	1	no	—
2549	C₄⋊C₄	—	53	2	no	—
2550	C₄⋊C₄	—	53	1	no	—
2551	C₄⋊C₄	—	53	1	no	—
2552	C₄⋊C₄	—	53	1	no	—
2553	C₄⋊C₄	—	53	1	no	—
2554	C₄⋊C₄	—	53	1	no	—
2555	C₄⋊C₄	—	53	1	no	—
2556	C₄⋊C₄	—	53	4	no	—
2557	C₄⋊C₄	—	53	4	no	—
2558	C₄⋊C₄	—	53	4	no	—
2559	C₄⋊C₄	—	53	1	no	—
2560	C₄⋊C₄	—	53	1	no	—
2561	C₄⋊C₄	—	53	1	no	—
2562	C₄⋊C₄	—	53	1	no	—
2563	C₄⋊C₄	—	53	1	no	—
2564	C₄⋊C₄	—	53	1	no	—
2565	C₄⋊C₄	—	53	1	no	—
2566	C₄⋊C₄	—	53	1	no	—
2567	C₄⋊C₄	—	53	1	no	—
2568	C₄⋊C₄	—	53	1	no	—
2569	C₄⋊C₄	—	53	4	no	—
2570	C₄⋊C₄	—	53	4	no	—
2571	C₄⋊C₄	—	53	4	no	—
2572	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2573	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2574	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2575	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2576	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2577	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2578	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2579	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2580	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2581	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2582	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2583	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2584	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2585	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2586	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2587	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2588	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2589	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2590	C₂²⋊C₄	—	53	1	no	—
2591	C₂²⋊C₄	—	53	1	no	—
2592	C₂²⋊C₄	—	53	4	no	—
2593	C₂²⋊C₄	—	53	4	no	—
2594	C₂²⋊C₄	—	53	4	no	—
2595	C₂²⋊C₄	—	53	4	no	—
2596	C₂²⋊C₄	—	53	4	no	—
2597	C₂²⋊C₄	—	53	1	no	—
2598	C₂²⋊C₄	—	53	1	no	—
2599	C₂²⋊C₄	—	53	1	no	—
2600	C₂²⋊C₄	—	53	1	no	—
2601	C₂²⋊C₄	—	53	1	no	—
2602	C₂²⋊C₄	—	53	1	no	—
2603	C₂²⋊C₄	—	53	1	no	—
2604	C₂²⋊C₄	—	53	1	no	—
2605	C₂²⋊C₄	—	53	1	no	—
2606	C₂²⋊C₄	—	53	1	no	—
2607	C₂²⋊C₄	—	53	1	no	—
2608	C₂²⋊C₄	—	53	1	no	—
2609	C₂²⋊C₄	—	53	1	no	—
2610	C₂²⋊C₄	—	53	1	no	—
2611	C₂²⋊C₄	—	53	4	no	—
2612	C₂²⋊C₄	—	53	4	no	—
2613	C₂²⋊C₄	—	53	4	no	—
2614	C₂²⋊C₄	—	53	4	no	—
2615	C₂²⋊C₄	—	53	4	no	—
2616	C₂²⋊C₄	—	53	4	no	—
2617	C₂²⋊C₄	—	53	4	no	—
2618	C₂²⋊C₄	—	53	4	no	—
2619	C₂²⋊C₄	—	53	4	no	—
2620	C₂²⋊C₄	—	53	4	no	—
2621	C₂²⋊C₄	—	53	4	no	—
2622	C₂²⋊C₄	—	53	4	no	—
2623	C₂²⋊C₄	—	53	4	no	—
2624	C₂²⋊C₄	—	53	4	no	—
2625	C₂²⋊C₄	—	53	4	no	—
2626	C₂²⋊C₄	—	53	4	no	—
2627	C₂²⋊C₄	—	53	4	no	—
2628	C₂²⋊C₄	—	53	1	no	—
2629	C₂²⋊C₄	—	53	1	no	—
2630	C₂²⋊C₄	—	53	1	no	—
2631	C₂²⋊C₄	—	53	1	no	—
2632	C₂²⋊C₄	—	53	1	no	—
2633	C₂²⋊C₄	—	53	1	no	—
2634	C₂²⋊C₄	—	53	1	no	—
2635	C₂²⋊C₄	—	53	1	no	—
2636	C₂²⋊C₄	—	53	4	no	—
2637	C₂²⋊C₄	—	53	4	no	—
2638	C₂²⋊C₄	—	53	4	no	—
2639	C₂²⋊C₄	—	53	4	no	—
2640	C₂²⋊C₄	—	53	4	no	—
2641	C₂²⋊C₄	—	53	4	no	—
2642	C₂²⋊C₄	—	53	1	no	—
2643	C₂²⋊C₄	—	53	1	no	—
2644	C₂²⋊C₄	—	53	4	no	—
2645	C₂²⋊C₄	—	53	1	no	—
2646	C₂²⋊C₄	—	53	1	no	—
2647	C₂²⋊C₄	—	53	1	no	—
2648	C₂²⋊C₄	—	53	1	no	—
2649	C₂²⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2650	C₂²⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2651	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2652	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2653	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2654	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2655	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2656	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2657	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2658	C₂²⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2659	C₂²⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2660	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2661	C₂²⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2662	C₂²⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2663	C₄²	—	53	1	no	—
2664	C₄²	—	53	1	no	—
2665	C₄²	—	53	1	no	—
2666	C₄²	—	53	1	no	—
2667	C₄²	—	53	1	no	—
2668	C₄²	—	53	1	no	—
2669	C₄²	—	53	1	no	—
2670	C₄²	—	53	1	no	—
2671	C₄²	—	53	1	no	—
2672	C₄²	—	53	1	no	—
2673	C₄²	—	53	1	no	—
2674	C₄²	—	53	1	no	—
2675	C₄²	—	53	4	no	—
2676	C₄²	—	53	1	no	—
2677	C₄²	—	53	1	no	—
2678	C₄²	—	53	1	no	—
2679	C₄²	—	53	4	no	—
2680	C₄²	—	53	1	no	—
2681	C₄²	—	53	1	no	—
2682	C₄²	—	53	1	no	—
2683	C₄²	—	53	4	no	—
2684	C₄²	—	53	4	no	—
2685	C₄²	—	53	4	no	—
2686	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2687	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2688	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2689	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2690	C₄²	C₂³×D₅₃	1	4	yes	—
2691	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2692	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2693	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2694	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2695	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2696	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2697	C₄²	C₂³×D₅₃	1	4	yes	—
2698	C₂³	—	53	1	no	—
2699	C₂³	—	53	1	no	—
2700	C₂³	—	53	4	no	—
2701	C₂³	—	53	4	no	—
2702	C₂³	—	53	1	no	—
2703	C₂³	—	53	1	no	—
2704	C₂³	—	106	8	no	—
2705	C₂³	—	106	2	no	—
2706	C₂³	—	212	4	no	—
2707	C₂³	—	212	4	no	—
2708	C₂³	—	212	4	no	—
2709	C₂³	—	212	4	no	—
2710	C₂³	—	212	4	no	—
2711	C₂³	—	212	4	no	—
2712	C₂³	—	212	4	no	—
2713	C₂³	—	212	4	no	—
2714	C₂³	—	212	1	no	—
2715	C₂³	—	212	1	no	—
2716	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2717	C₂³	C₂⁴×D₅₃	1	4	yes	—
2718	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2719	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2720	Q₈	—	2	4	no	—
2721	Q₈	—	2	4	no	—
2722	Q₈	—	2	4	no	—
2723	Q₈	—	4	4	no	—
2724	Q₈	—	4	1	no	—
2725	Q₈	—	106	8	no	—
2726	Q₈	—	106	2	no	—
2727	Q₈	—	106	2	no	—
2728	Q₈	—	106	4	no	—
2729	Q₈	—	106	4	no	—
2730	Q₈	—	212	4	no	—
2731	Q₈	—	212	1	no	—
2732	Q₈	—	212	1	no	—
2733	Q₈	—	212	1	no	—
2734	D₄	—	2	4	no	—
2735	D₄	—	2	4	no	—
2736	D₄	—	2	4	no	—
2737	D₄	—	4	4	no	—
2738	D₄	—	4	4	no	—
2739	D₄	—	4	1	no	—
2740	D₄	—	4	1	no	—
2741	D₄	—	4	1	no	—
2742	D₄	—	4	4	no	—
2743	D₄	—	106	2	no	—
2744	D₄	—	106	8	no	—
2745	D₄	—	106	2	no	—
2746	D₄	—	106	8	no	—
2747	D₄	—	106	2	no	—
2748	D₄	—	106	2	no	—
2749	D₄	—	106	2	no	—
2750	D₄	—	106	2	no	—
2751	D₄	—	106	4	no	—
2752	D₄	—	106	4	no	—
2753	D₄	—	106	4	no	—
2754	D₄	—	106	4	no	—
2755	D₄	—	106	4	no	—
2756	D₄	—	106	4	no	—
2757	D₄	—	212	4	no	—
2758	D₄	—	212	4	no	—
2759	D₄	—	212	4	no	—
2760	D₄	—	212	4	no	—
2761	D₄	—	212	4	no	—
2762	D₄	—	212	1	no	—
2763	D₄	—	212	4	no	—
2764	D₄	—	212	4	no	—
2765	D₄	—	212	1	no	—
2766	D₄	—	212	1	no	—
2767	D₄	—	212	4	no	—
2768	D₄	—	212	4	no	—
2769	D₄	—	212	4	no	—
2770	D₄	—	212	4	no	—
2771	D₄	—	212	4	no	—
2772	D₄	—	212	4	no	—
2773	D₄	—	212	4	no	—
2774	D₄	—	212	4	no	—
2775	D₄	—	212	1	no	—
2776	D₄	—	212	1	no	—
2777	D₄	—	212	1	no	—
2778	D₄	—	212	1	no	—
2779	D₄	—	212	1	no	—
2780	D₄	—	212	1	no	—
2781	D₄	—	212	4	no	—
2782	D₄	—	212	4	no	—
2783	D₄	—	212	4	no	—
2784	D₄	—	212	4	no	—
2785	C₂×C₄	—	2	2	no	—
2786	C₂×C₄	—	2	2	no	—
2787	C₂×C₄	—	2	2	no	—
2788	C₂×C₄	—	2	2	no	—
2789	C₂×C₄	—	2	2	no	—
2790	C₂×C₄	—	2	2	no	—
2791	C₂×C₄	—	2	2	no	—
2792	C₂×C₄	—	2	2	no	—
2793	C₂×C₄	—	2	2	no	—
2794	C₂×C₄	—	4	4	no	—
2795	C₂×C₄	—	4	4	no	—
2796	C₂×C₄	—	4	4	no	—
2797	C₂×C₄	—	4	4	no	—
2798	C₂×C₄	—	53	1	no	—
2799	C₂×C₄	—	53	4	no	—
2800	C₂×C₄	—	53	1	no	—
2801	C₂×C₄	—	53	1	no	—
2802	C₂×C₄	—	53	1	no	—
2803	C₂×C₄	—	53	1	no	—
2804	C₂×C₄	—	53	4	no	—
2805	C₂×C₄	—	53	1	no	—
2806	C₂×C₄	—	53	1	no	—
2807	C₂×C₄	—	53	1	no	—
2808	C₂×C₄	—	53	1	no	—
2809	C₂×C₄	—	53	1	no	—
2810	C₂×C₄	—	53	1	no	—
2811	C₂×C₄	—	53	4	no	—
2812	C₂×C₄	—	53	1	no	—
2813	C₂×C₄	—	106	2	no	—
2814	C₂×C₄	—	106	8	no	—
2815	C₂×C₄	—	106	2	no	—
2816	C₂×C₄	—	106	8	no	—
2817	C₂×C₄	—	106	2	no	—
2818	C₂×C₄	—	106	2	no	—
2819	C₂×C₄	—	106	2	no	—
2820	C₂×C₄	—	106	2	no	—
2821	C₂×C₄	—	106	2	no	—
2822	C₂×C₄	—	106	2	no	—
2823	C₂×C₄	—	106	2	no	—
2824	C₂×C₄	—	106	2	no	—
2825	C₂×C₄	—	106	2	no	—
2826	C₂×C₄	—	106	2	no	—
2827	C₂×C₄	—	106	2	no	—
2828	C₂×C₄	—	106	2	no	—
2829	C₂×C₄	—	212	1	no	—
2830	C₂×C₄	—	212	1	no	—
2831	C₂×C₄	—	212	1	no	—
2832	C₂×C₄	—	212	1	no	—
2833	C₂×C₄	—	212	4	no	—
2834	C₂×C₄	—	212	4	no	—
2835	C₂×C₄	—	212	4	no	—
2836	C₂×C₄	—	212	4	no	—
2837	C₂×C₄	—	212	4	no	—
2838	C₂×C₄	—	212	4	no	—
2839	C₂×C₄	—	212	4	no	—
2840	C₂×C₄	—	212	4	no	—
2841	C₂×C₄	—	212	4	no	—
2842	C₂×C₄	—	212	4	no	—
2843	C₂×C₄	—	212	1	no	—
2844	C₂×C₄	—	212	1	no	—
2845	C₂×C₄	—	212	4	no	—
2846	C₂×C₄	—	212	4	no	—
2847	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2848	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2849	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2850	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2851	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2852	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2853	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2854	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2855	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2856	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2857	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2858	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2859	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2860	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2861	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2862	C₂²	—	2	1	no	—
2863	C₂²	—	2	1	no	—
2864	C₂²	—	2	1	no	—
2865	C₂²	—	2	4	no	—
2866	C₂²	—	2	1	no	—
2867	C₂²	—	2	1	no	—
2868	C₂²	—	2	1	no	—
2869	C₂²	—	2	4	no	—
2870	C₂²	—	2	1	no	—
2871	C₂²	—	2	1	no	—
2872	C₂²	—	2	1	no	—
2873	C₂²	—	2	4	no	—
2874	C₂²	—	53	2	no	—
2875	C₂²	—	848	4	no	—
2876	C₂²	—	848	4	no	—
2877	C₂²	—	106	1	no	—
2878	C₂²	—	106	1	no	—
2879	C₂²	—	106	1	no	—
2880	C₂²	—	106	1	no	—
2881	C₂²	—	106	4	no	—
2882	C₂²	—	106	1	no	—
2883	C₂²	—	106	4	no	—
2884	C₂²	—	106	1	no	—
2885	C₂²	—	106	1	no	—
2886	C₂²	—	106	1	no	—
2887	C₂²	—	106	4	no	—
2888	C₂²	—	106	4	no	—
2889	C₂²	—	106	1	no	—
2890	C₂²	—	106	1	no	—
2891	C₂²	—	106	1	no	—
2892	C₂²	—	106	4	no	—
2893	C₂²	—	106	4	no	—
2894	C₂²	—	424	8	no	—
2895	C₂²	—	212	4	no	—
2896	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2897	C₄	—	2	1	no	—
2898	C₄	—	2	1	no	—
2899	C₄	—	2	1	no	—
2900	C₄	—	2	4	no	—
2901	C₄	—	2	4	no	—
2902	C₄	—	2	1	no	—
2903	C₄	—	2	1	no	—
2904	C₄	—	2	1	no	—
2905	C₄	—	2	4	no	—
2906	C₄	—	2	1	no	—
2907	C₄	—	2	1	no	—
2908	C₄	—	2	1	no	—
2909	C₄	—	53	2	no	—
2910	C₄	—	106	1	no	—
2911	C₄	—	106	1	no	—
2912	C₄	—	106	1	no	—
2913	C₄	—	106	4	no	—
2914	C₄	—	106	1	no	—
2915	C₄	—	106	1	no	—
2916	C₄	—	106	1	no	—
2917	C₄	—	106	1	no	—
2918	C₄	—	106	1	no	—
2919	C₄	—	106	1	no	—
2920	C₄	—	106	1	no	—
2921	C₄	—	106	1	no	—
2922	C₄	—	106	4	no	—
2923	C₄	H(5,𝔽₂)×D₅₃	1	2	yes	—
2924	C₄	#16811459	1	2	yes	—
2925	C₄	#16811460	1	2	yes	—
2926	C₂	—	4	1	no	—
2927	C₂	—	4	4	no	—
2928	C₂	—	4	1	no	—
2929	C₂	—	4	1	no	—
2930	C₂	—	106	2	no	—
2931	C₂	—	212	1	no	—
2932	C₂	—	212	4	no	—
2933	C₂	—	212	4	no	—
2934	C₂	—	212	1	no	—
2935	C₂	—	212	1	no	—
2936	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2937	C₂	C₂×#16811459	1	1	yes	characteristic
2938	C₂	C₂×#16811460	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3511	C₂
hypercenter	#3511	D₅₃
hypocenter	C₅₃	#62836
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3511

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #20289310	C₂	semidirect
2. #20289308	C₂	semidirect
3. #20289306	C₂	semidirect
4. #20289304	C₂	semidirect
5. #20289184	C₂	semidirect
6. #20289178	C₂	semidirect
7. #20289086	C₂	semidirect
8. #20289077	C₂	semidirect
9. #20289038	C₂	semidirect
10. #20289034	C₂	semidirect
11. #20289027	C₂	semidirect
12. #20289019	C₂	semidirect
13. #20288715	C₂	semidirect
14. #20288714	C₂	semidirect
15. #20288674	C₂	semidirect
16. #20288672	C₂	semidirect
17. #20288662	C₂	semidirect
18. #20288661	C₂	semidirect
19. #20288658	C₂	semidirect
20. #20288657	C₂	semidirect
21. #20288628	C₂	semidirect
22. #20288627	C₂	semidirect
23. #20288616	C₂	semidirect
24. #20288605	C₂	semidirect
25. #20288594	C₂	semidirect
26. #20288592	C₂	semidirect
27. #20288591	C₂	semidirect
28. #20288584	C₂	semidirect
29. #20288584	C₂	semidirect
30. #20288584	C₂	semidirect
31. #20288506	C₂	semidirect
32. #20288498	C₂	semidirect
33. #20288488	C₂	semidirect
34. #20288372	C₂	semidirect
35. #20288354	C₂	semidirect
36. #20288012	C₂	semidirect
37. #20288008	C₂	semidirect
38. #532×D₅₃	C₂	semidirect
39. C₅₃×#3511	C₂	semidirect
40. C₂×#13133265	C₂²	semidirect
42. C₂×#41×D₅₃	C₂²	semidirect
43. #16811370	C₂²	semidirect
44. #16811369	C₂²	semidirect
45. #16811369	C₂²	semidirect
46. #16811367	C₂²	semidirect
47. #16811364	C₂²	semidirect
48. #16811361	C₂²	semidirect
49. #16811361	C₂²	semidirect
50. #16811361	C₂²	semidirect
51. #16811358	C₂²	semidirect
52. #16811358	C₂²	semidirect
53. #16811358	C₂²	semidirect
54. #16811358	C₂²	semidirect
55. #16811356	C₂²	semidirect
56. #16811356	C₂²	semidirect
57. #16811356	C₂²	semidirect
58. #16811355	C₂²	semidirect
59. #16811355	C₂²	semidirect
60. #16811355	C₂²	semidirect
61. #16811350	C₂²	semidirect
62. #16811349	C₂²	semidirect
63. #16811347	C₂²	semidirect
64. #16811345	C₂²	semidirect
65. #16811344	C₂²	semidirect
66. #16811342	C₂²	semidirect
67. #16811341	C₂²	semidirect
68. #16811339	C₂²	semidirect
69. #16811337	C₂²	semidirect
70. #16811336	C₂²	semidirect
71. #16811334	C₂²	semidirect
72. #16811332	C₂²	semidirect
73. #16811329	C₂²	semidirect
74. #16811326	C₂²	semidirect
75. #16811324	C₂²	semidirect
76. #16811323	C₂²	semidirect
77. #16811323	C₂²	semidirect
78. #16811322	C₂²	semidirect
79. #16811321	C₂²	semidirect
80. #16811321	C₂²	semidirect
81. #16811321	C₂²	semidirect
82. #16811320	C₂²	semidirect
83. #16811317	C₂²	semidirect
84. #16811314	C₂²	semidirect
85. #16811312	C₂²	semidirect
86. #16811311	C₂²	semidirect
87. #16811307	C₂²	semidirect
88. #16811303	C₂²	semidirect
89. #16811301	C₂²	semidirect
90. #16811300	C₂²	semidirect
91. #16811300	C₂²	semidirect
92. #16811298	C₂²	semidirect
93. #16811298	C₂²	semidirect
94. #16811297	C₂²	semidirect
95. #16811297	C₂²	semidirect
96. #16811295	C₂²	semidirect
97. #16811295	C₂²	semidirect
98. #16811294	C₂²	semidirect
99. #16811294	C₂²	semidirect
100. #16811294	C₂²	semidirect
101. #16811294	C₂²	semidirect
102. #16811294	C₂²	semidirect
103. #16811292	C₂²	semidirect
104. #16811292	C₂²	semidirect
105. #16811292	C₂²	semidirect
106. #16811291	C₂²	semidirect
107. #16811291	C₂²	semidirect
108. #16811291	C₂²	semidirect
109. #16811291	C₂²	semidirect
110. #16811288	C₂²	semidirect
111. #16811288	C₂²	semidirect
112. #16811285	C₂²	semidirect
113. #16811284	C₂²	semidirect
114. #16811284	C₂²	semidirect
115. #16811283	C₂²	semidirect
116. #16811283	C₂²	semidirect
117. #16811281	C₂²	semidirect
118. #16811281	C₂²	semidirect
119. #16811280	C₂²	semidirect
120. #16811276	C₂²	semidirect
121. #16811276	C₂²	semidirect
122. #16811276	C₂²	semidirect
123. #16811275	C₂²	semidirect
124. #16811274	C₂²	semidirect
125. #16811274	C₂²	semidirect
126. #16811274	C₂²	semidirect
127. #16811274	C₂²	semidirect
128. #16811274	C₂²	semidirect
129. #16811272	C₂²	semidirect
130. #16811271	C₂²	semidirect
131. #16811270	C₂²	semidirect
132. #16811270	C₂²	semidirect
133. #16811270	C₂²	semidirect
134. #16811270	C₂²	semidirect
135. #16811269	C₂²	semidirect
136. #16811269	C₂²	semidirect
137. #16811269	C₂²	semidirect
138. #16811269	C₂²	semidirect
139. #16811269	C₂²	semidirect
140. #16811268	C₂²	semidirect
141. #16811268	C₂²	semidirect
142. #16811268	C₂²	semidirect
143. #16811266	C₂²	semidirect
144. #16811266	C₂²	semidirect
145. #16811266	C₂²	semidirect
146. #16811266	C₂²	semidirect
147. #16811265	C₂²	semidirect
148. #16811264	C₂²	semidirect
149. #16811264	C₂²	semidirect
150. #16811264	C₂²	semidirect
151. #16811264	C₂²	semidirect
152. #16811264	C₂²	semidirect
153. #16811262	C₂²	semidirect
154. #16811261	C₂²	semidirect
155. #16811261	C₂²	semidirect
156. #16811261	C₂²	semidirect
161. #16811257	C₂²	semidirect
162. #16811257	C₂²	semidirect
163. #16811247	C₂²	semidirect
164. #16811247	C₂²	semidirect
165. #16811246	C₂²	semidirect
166. #16811245	C₂²	semidirect
167. #16811243	C₂²	semidirect
168. #16811240	C₂²	semidirect
169. #16811239	C₂²	semidirect
170. #16811238	C₂²	semidirect
171. #16811233	C₂²	semidirect
172. #16811231	C₂²	semidirect
173. #16811229	C₂²	semidirect
174. #16811229	C₂²	semidirect
175. #16811228	C₂²	semidirect
176. #16811228	C₂²	semidirect
177. #16811228	C₂²	semidirect
178. #16811226	C₂²	semidirect
179. #16811226	C₂²	semidirect
180. #16811226	C₂²	semidirect
181. #16811225	C₂²	semidirect
182. #16811224	C₂²	semidirect
183. #16811224	C₂²	semidirect
184. #16811224	C₂²	semidirect
185. #16811224	C₂²	semidirect
186. #16811223	C₂²	semidirect
187. #16811222	C₂²	semidirect
188. #16811220	C₂²	semidirect
189. #16811219	C₂²	semidirect
190. #16811214	C₂²	semidirect
191. #16811213	C₂²	semidirect
192. #16811212	C₂²	semidirect
193. #16811209	C₂²	semidirect
194. #16811207	C₂²	semidirect
195. #16811207	C₂²	semidirect
196. #16811206	C₂²	semidirect
197. #16811205	C₂²	semidirect
198. #16811205	C₂²	semidirect
199. #16811204	C₂²	semidirect
200. #16811203	C₂²	semidirect
201. #16811202	C₂²	semidirect
202. #16811198	C₂²	semidirect
203. #16811198	C₂²	semidirect
204. #16811197	C₂²	semidirect
206. #16811196	C₂²	semidirect
207. #16811192	C₂²	semidirect
209. #16811191	C₂²	semidirect
210. #16811191	C₂²	semidirect
211. #16811189	C₂²	semidirect
212. #16811189	C₂²	semidirect
213. #16811189	C₂²	semidirect
214. #16811189	C₂²	semidirect
215. #16811189	C₂²	semidirect
216. #16811187	C₂²	semidirect
217. #16811187	C₂²	semidirect
218. #16811184	C₂²	semidirect
219. #16811181	C₂²	semidirect
220. #16811180	C₂²	semidirect
221. #16811178	C₂²	semidirect
222. #16811178	C₂²	semidirect
223. #16811178	C₂²	semidirect
224. #16811178	C₂²	semidirect
225. #16811177	C₂²	semidirect
226. #16811177	C₂²	semidirect
227. #16811176	C₂²	semidirect
229. #16811174	C₂²	semidirect
230. #16811174	C₂²	semidirect
231. #16811174	C₂²	semidirect
232. #16811174	C₂²	semidirect
233. #16811174	C₂²	semidirect
234. #16811173	C₂²	semidirect
235. #16811173	C₂²	semidirect
236. #16811173	C₂²	semidirect
237. #16811173	C₂²	semidirect
238. #16811172	C₂²	semidirect
239. #16811171	C₂²	semidirect
240. #16811171	C₂²	semidirect
242. #16811170	C₂²	semidirect
243. #16811170	C₂²	semidirect
244. #16811170	C₂²	semidirect
245. #16811170	C₂²	semidirect
246. #16811169	C₂²	semidirect
247. #16811169	C₂²	semidirect
248. #16811168	C₂²	semidirect
249. #16811168	C₂²	semidirect
250. C₄⋊Q₈×D₅₃	C₂²	semidirect
251. C₄⋊Q₈×D₅₃	C₂²	semidirect
252. C₂×#13133214	C₂²	semidirect
254. #127×D₅₃	C₂²	semidirect
255. #16811160	C₂²	semidirect
256. #16811160	C₂²	semidirect
257. #16811160	C₂²	semidirect
258. #16811160	C₂²	semidirect
259. #16811159	C₂²	semidirect
260. #16811159	C₂²	semidirect
261. #16811158	C₂²	semidirect
262. #16811158	C₂²	semidirect
263. #16811156	C₂²	semidirect
264. #16811155	C₂²	semidirect
265. #16811155	C₂²	semidirect
266. #16811153	C₂²	semidirect
267. #16811153	C₂²	semidirect
268. #16811153	C₂²	semidirect
269. #16811153	C₂²	semidirect
270. #16811151	C₂²	semidirect
271. #16811151	C₂²	semidirect
272. #16811151	C₂²	semidirect
273. #16811151	C₂²	semidirect
274. #16811151	C₂²	semidirect
275. #124×D₅₃	C₂²	semidirect
276. #124×D₅₃	C₂²	semidirect
277. #16811136	C₂²	semidirect
278. #16811136	C₂²	semidirect
279. #16811136	C₂²	semidirect
280. #16811135	C₂²	semidirect
281. #16811135	C₂²	semidirect
283. #16811132	C₂²	semidirect
284. #16811132	C₂²	semidirect
285. #16811132	C₂²	semidirect
286. #16811132	C₂²	semidirect
287. #16811130	C₂²	semidirect
288. C₂×#13133202	C₂²	semidirect
289. #123×D₅₃	C₂²	semidirect
290. #121×D₅₃	C₂²	semidirect
291. #121×D₅₃	C₂²	semidirect
292. #16811105	C₂²	semidirect
293. #16811104	C₂²	semidirect
294. #16811102	C₂²	semidirect
295. #16811099	C₂²	semidirect
296. #16811097	C₂²	semidirect
297. #16811097	C₂²	semidirect
298. #16811095	C₂²	semidirect
299. #16811095	C₂²	semidirect
300. #16811095	C₂²	semidirect
301. C₄×#11719949	C₂²	semidirect
302. C₄×#11719949	C₂²	semidirect
304. C₄×#11719945	C₂²	semidirect
305. C₄×#11719945	C₂²	semidirect
306. C₄×#11719945	C₂²	semidirect
307. C₄×#11719945	C₂²	semidirect
308. #16811091	C₂²	semidirect
309. C₄×D₄×D₅₃	C₂²	semidirect
310. C₄×D₄×D₅₃	C₂²	semidirect
311. C₂×C₄²×D₅₃	C₂²	semidirect
312. C₅₃×#556	C₂²	semidirect
313. C₅₃×#555	C₂²	semidirect
314. C₅₃×#554	C₂²	semidirect
315. C₅₃×#553	C₂²	semidirect
316. C₅₃×#553	C₂²	semidirect
317. C₅₃×#548	C₂²	semidirect
318. C₅₃×#548	C₂²	semidirect
319. C₅₃×#547	C₂²	semidirect
320. C₅₃×#542	C₂²	semidirect
321. C₅₃×#542	C₂²	semidirect
322. C₅₃×#537	C₂²	semidirect
323. C₅₃×#533	C₂²	semidirect
324. C₅₃×#533	C₂²	semidirect
325. C₅₃×#532	C₂²	semidirect
326. C₅₃×#532	C₂²	semidirect
327. C₅₃×#532	C₂²	semidirect
328. C₂×C₄⋊Q₈×C₅₃	C₂²	semidirect
329. C₅₃×#520	C₂²	semidirect
330. C₄×#41×C₅₃	C₂²	semidirect
1480. #3511	D₅₃	semidirect
1537. #556	C₂×D₅₃	semidirect
1541. #555	C₂×D₅₃	semidirect
1545. #554	C₂×D₅₃	semidirect
1556. #553	C₂×D₅₃	semidirect
1557. #553	C₂×D₅₃	semidirect
1594. #548	C₂×D₅₃	semidirect
1595. #548	C₂×D₅₃	semidirect
1607. #547	C₂×D₅₃	semidirect
1648. #542	C₂×D₅₃	semidirect
1649. #542	C₂×D₅₃	semidirect
1681. #537	C₂×D₅₃	semidirect
1708. #533	C₂×D₅₃	semidirect
1709. #533	C₂×D₅₃	semidirect
1732. #532	C₂×D₅₃	semidirect
1733. #532	C₂×D₅₃	semidirect
1734. #532	C₂×D₅₃	semidirect
1737. C₂×C₄⋊Q₈	C₂×D₅₃	semidirect
1781. #520	C₂×D₅₃	semidirect
1796. C₄×#41	C₂×D₅₃	semidirect
1800. C₅₃	#62836	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#20289310	2
#20289308	2
#20289306	2
#20289304	2
#20289184	2
#20289178	2
#20289086	2
#20289077	2
#20289038	2
#20289034	2
#20289027	2
#20289019	2
#20288715	2
#20288714	2
#20288674	2
#20288672	2
#20288662	2
#20288661	2
#20288658	2
#20288657	2
#20288628	2
#20288627	2
#20288616	2
#20288605	2
#20288594	2
#20288592	2
#20288591	2
#20288584	2
#20288506	2
#20288498	2
#20288488	2
#20288372	2
#20288354	2
#20288012	2
#20288008	2
#532×D₅₃	2
C₅₃×#3511	2
#62836	53