Subgroups — #28292809

Order 13568.

7330 conjugacy classes of subgroups.

The subgroup lattice has 2466 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289283	C₂	1	2	yes	maximal, complemented
2	#20289282	C₂	1	2	yes	maximal, complemented
3	#20289280	C₂	1	1	yes	maximal, characteristic, complemented
4	#20289276	C₂	1	2	yes	maximal, complemented
5	#20289237	C₂	1	2	yes	maximal, complemented
6	#20289236	C₂	1	2	yes	maximal, complemented
7	#20289234	C₂	1	1	yes	maximal, characteristic, complemented
8	#20289231	C₂	1	1	yes	maximal, characteristic, complemented
9	#20289230	C₂	1	2	yes	maximal, complemented
10	#20289073	C₂	1	2	yes	maximal, complemented
11	#20289065	C₂	1	2	yes	maximal, complemented
12	#20289063	C₂	1	4	yes	maximal, complemented
13	#20288679	C₂	1	2	yes	maximal, complemented
14	#20288677	C₂	1	2	yes	maximal, complemented
15	#20288674	C₂	1	4	yes	maximal, complemented
16	#20288673	C₂	1	2	yes	maximal, complemented
17	#20288669	C₂	1	2	yes	maximal, complemented
18	#20288665	C₂	1	4	yes	maximal, complemented
19	#20288607	C₂	1	2	yes	maximal, complemented
20	#20288605	C₂	1	2	yes	maximal, complemented
21	#20288506	C₂	1	2	yes	maximal, complemented
22	#20288504	C₂	1	2	yes	maximal, complemented
23	#20288405	C₂	1	2	yes	maximal, complemented
24	#20288401	C₂	1	2	yes	maximal, complemented
25	#20288399	C₂	1	4	yes	maximal, complemented
26	#20288365	C₂	1	2	yes	maximal, complemented
27	#20288345	C₂	1	2	yes	maximal, complemented
28	#20288012	C₂	1	1	yes	maximal, characteristic, complemented
29	#20288009	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#124×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#3561	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13133265	C₂²	1	2	yes	complemented
33	C₂×#13133263	C₂²	1	2	yes	complemented
34	C₂²×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
35	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
36	#16811377	C₂²	1	2	yes	complemented
37	#16811374	C₂²	1	4	yes	complemented
38	#16811371	C₂²	1	2	yes	complemented
39	#16811371	C₂²	1	2	yes	complemented
40	#16811370	C₂²	1	4	yes	complemented
41	#16811369	C₂²	1	4	yes	complemented
42	#16811367	C₂²	1	2	yes	complemented
43	#16811365	C₂²	1	2	yes	complemented
44	#16811365	C₂²	1	4	yes	complemented
45	#16811365	C₂²	1	2	yes	complemented
46	#16811358	C₂²	1	2	yes	complemented
47	#16811358	C₂²	1	2	yes	complemented
48	#16811357	C₂²	1	4	yes	complemented
49	#16811356	C₂²	1	2	yes	complemented
50	#16811355	C₂²	1	2	yes	complemented
51	#16811355	C₂²	1	4	yes	complemented
52	#16811347	C₂²	1	2	yes	complemented
53	#16811345	C₂²	1	2	yes	complemented
54	#16811344	C₂²	1	4	yes	complemented
55	#16811342	C₂²	1	2	yes	complemented
56	#16811340	C₂²	1	4	yes	complemented
57	#16811339	C₂²	1	4	yes	complemented
58	#16811337	C₂²	1	4	yes	complemented
59	#16811336	C₂²	1	4	yes	complemented
60	#16811335	C₂²	1	4	yes	complemented
61	#16811303	C₂²	1	4	yes	complemented
62	#16811302	C₂²	1	4	yes	complemented
63	#16811301	C₂²	1	4	yes	complemented
64	#16811301	C₂²	1	4	yes	complemented
65	#16811300	C₂²	1	4	yes	complemented
66	#16811300	C₂²	1	4	yes	complemented
67	#16811300	C₂²	1	4	yes	complemented
68	#16811300	C₂²	1	4	yes	complemented
69	#16811300	C₂²	1	4	yes	complemented
70	#16811300	C₂²	1	4	yes	complemented
71	#16811299	C₂²	1	4	yes	complemented
72	#16811298	C₂²	1	4	yes	complemented
73	#16811298	C₂²	1	4	yes	complemented
74	#16811298	C₂²	1	4	yes	complemented
75	#16811298	C₂²	1	4	yes	complemented
76	#16811298	C₂²	1	4	yes	complemented
77	#16811297	C₂²	1	4	yes	complemented
78	#16811297	C₂²	1	4	yes	complemented
79	#16811296	C₂²	1	4	yes	complemented
80	#16811288	C₂²	1	4	yes	complemented
81	#16811288	C₂²	1	2	yes	complemented
82	Q₈×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
83	#16811286	C₂²	1	2	yes	complemented
84	#16811286	C₂²	1	4	yes	complemented
85	#16811285	C₂²	1	2	yes	complemented
86	#16811285	C₂²	1	2	yes	complemented
87	#16811284	C₂²	1	2	yes	complemented
88	#16811284	C₂²	1	2	yes	complemented
89	#16811283	C₂²	1	2	yes	complemented
90	#16811283	C₂²	1	4	yes	complemented
91	#16811283	C₂²	1	4	yes	complemented
92	#16811283	C₂²	1	4	yes	complemented
93	#16811282	C₂²	1	4	yes	complemented
94	#16811282	C₂²	1	2	yes	complemented
95	#16811280	C₂²	1	2	yes	complemented
96	#16811270	C₂²	1	2	yes	complemented
97	#16811270	C₂²	1	4	yes	complemented
98	#16811269	C₂²	1	4	yes	complemented
99	#16811269	C₂²	1	2	yes	complemented
100	#16811268	C₂²	1	4	yes	complemented
101	#16811266	C₂²	1	2	yes	complemented
102	#16811266	C₂²	1	2	yes	complemented
103	#16811266	C₂²	1	4	yes	complemented
104	#16811266	C₂²	1	4	yes	complemented
105	#16811265	C₂²	1	4	yes	complemented
106	#16811265	C₂²	1	4	yes	complemented
107	#16811265	C₂²	1	4	yes	complemented
108	#16811265	C₂²	1	4	yes	complemented
109	#16811265	C₂²	1	4	yes	complemented
110	#16811265	C₂²	1	4	yes	complemented
111	#16811264	C₂²	1	2	yes	complemented
112	#16811264	C₂²	1	4	yes	complemented
113	#16811264	C₂²	1	4	yes	complemented
114	#16811264	C₂²	1	4	yes	complemented
115	#16811264	C₂²	1	4	yes	complemented
116	#16811264	C₂²	1	4	yes	complemented
117	#16811264	C₂²	1	2	yes	complemented
118	#16811263	C₂²	1	4	yes	complemented
119	#16811263	C₂²	1	4	yes	complemented
120	#16811262	C₂²	1	4	yes	complemented
121	#16811261	C₂²	1	2	yes	complemented
122	#16811260	C₂²	1	4	yes	complemented
123	D₄×D₂₁₂	C₂²	1	2	yes	complemented
124	D₄×D₂₁₂	C₂²	1	2	yes	complemented
125	#16811257	C₂²	1	2	yes	complemented
126	#16811257	C₂²	1	4	yes	complemented
127	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
128	#16811255	C₂²	1	4	yes	complemented
129	#16811248	C₂²	1	2	yes	complemented
130	#16811248	C₂²	1	4	yes	complemented
131	#16811247	C₂²	1	2	yes	complemented
132	#16811247	C₂²	1	4	yes	complemented
133	#16811246	C₂²	1	4	yes	complemented
134	#16811245	C₂²	1	4	yes	complemented
135	#16811244	C₂²	1	2	yes	complemented
136	#16811243	C₂²	1	4	yes	complemented
137	#16811243	C₂²	1	4	yes	complemented
138	#16811243	C₂²	1	4	yes	complemented
139	#16811242	C₂²	1	2	yes	complemented
140	#16811241	C₂²	1	4	yes	complemented
141	#16811241	C₂²	1	4	yes	complemented
142	#16811239	C₂²	1	4	yes	complemented
143	#16811213	C₂²	1	2	yes	complemented
144	#16811213	C₂²	1	2	yes	complemented
145	#16811213	C₂²	1	4	yes	complemented
146	#16811213	C₂²	1	4	yes	complemented
147	#16811212	C₂²	1	4	yes	complemented
148	#16811212	C₂²	1	4	yes	complemented
149	#16811212	C₂²	1	4	yes	complemented
150	#16811212	C₂²	1	4	yes	complemented
151	#16811212	C₂²	1	4	yes	complemented
152	#16811211	C₂²	1	2	yes	complemented
153	#16811210	C₂²	1	4	yes	complemented
154	#16811209	C₂²	1	4	yes	complemented
155	#16811209	C₂²	1	4	yes	complemented
156	#16811208	C₂²	1	4	yes	complemented
157	#16811207	C₂²	1	4	yes	complemented
158	#16811207	C₂²	1	4	yes	complemented
159	#16811205	C₂²	1	4	yes	complemented
160	#16811198	C₂²	1	4	yes	complemented
161	#16811198	C₂²	1	2	yes	complemented
162	#16811198	C₂²	1	2	yes	complemented
163	#16811196	C₂²	1	4	yes	complemented
164	#16811196	C₂²	1	2	yes	complemented
165	#16811196	C₂²	1	4	yes	complemented
166	#16811192	C₂²	1	2	yes	complemented
167	#16811191	C₂²	1	2	yes	—
168	#16811191	C₂²	1	2	yes	complemented
169	#16811189	C₂²	1	2	yes	—
170	#16811189	C₂²	1	4	yes	complemented
171	#16811185	C₂²	1	2	yes	complemented
172	#16811184	C₂²	1	4	yes	complemented
173	#16811184	C₂²	1	4	yes	complemented
174	#16811181	C₂²	1	4	yes	complemented
175	#16811181	C₂²	1	2	yes	complemented
176	#16811179	C₂²	1	1	yes	characteristic, complemented
177	#16811178	C₂²	1	1	yes	characteristic, complemented
178	#16811178	C₂²	1	1	yes	characteristic, complemented
179	#16811177	C₂²	1	1	yes	characteristic, complemented
180	#16811175	C₂²	1	1	yes	characteristic, complemented
181	#16811174	C₂²	1	1	yes	characteristic, complemented
182	#16811174	C₂²	1	1	yes	characteristic, complemented
183	#16811174	C₂²	1	2	yes	complemented
184	#16811173	C₂²	1	1	yes	characteristic, complemented
185	#16811172	C₂²	1	1	yes	characteristic, complemented
186	#16811170	C₂²	1	1	yes	characteristic, complemented
187	#16811170	C₂²	1	4	yes	complemented
188	#16811169	C₂²	1	2	yes	complemented
189	#16811168	C₂²	1	1	yes	characteristic, complemented
190	#16811160	C₂²	1	2	yes	complemented
191	#16811160	C₂²	1	2	yes	complemented
192	#16811160	C₂²	1	2	yes	complemented
193	#16811159	C₂²	1	2	yes	complemented
194	#16811159	C₂²	1	2	yes	complemented
195	#16811159	C₂²	1	2	yes	complemented
196	#16811158	C₂²	1	2	yes	complemented
197	#16811158	C₂²	1	1	yes	characteristic, complemented
198	#16811158	C₂²	1	2	yes	complemented
199	#16811157	C₂²	1	1	yes	characteristic, complemented
200	#16811156	C₂²	1	2	yes	complemented
201	#16811156	C₂²	1	2	yes	complemented
202	#16811156	C₂²	1	4	yes	complemented
203	#16811155	C₂²	1	2	yes	complemented
204	#16811154	C₂²	1	2	yes	complemented
205	#16811152	C₂²	1	1	yes	characteristic, complemented
206	#16811151	C₂²	1	2	yes	complemented
207	#16811151	C₂²	1	4	yes	complemented
208	#16811150	C₂²	1	2	yes	complemented
209	C₂×#13133206	C₂²	1	1	yes	characteristic, complemented
210	C₂×#13133206	C₂²	1	2	yes	complemented
211	C₂×#13133205	C₂²	1	1	yes	characteristic, complemented
212	C₂×#13133204	C₂²	1	1	yes	characteristic, complemented
213	C₂×#13133203	C₂²	1	2	yes	complemented
214	C₂×#13133203	C₂²	1	2	yes	complemented
215	#124×D₅₃	C₂²	1	2	yes	complemented
216	#124×D₅₃	C₂²	1	2	yes	complemented
217	#124×D₅₃	C₂²	1	2	yes	complemented
218	#124×D₅₃	C₂²	1	2	yes	complemented
219	#124×D₅₃	C₂²	1	2	yes	complemented
220	#124×D₅₃	C₂²	1	2	yes	complemented
221	#124×D₅₃	C₂²	1	2	yes	complemented
222	#124×D₅₃	C₂²	1	2	yes	complemented
223	#124×D₅₃	C₂²	1	2	yes	complemented
224	#124×D₅₃	C₂²	1	4	yes	complemented
225	#16811136	C₂²	1	1	yes	characteristic, complemented
226	#16811136	C₂²	1	2	yes	complemented
227	#16811136	C₂²	1	2	yes	complemented
228	#16811136	C₂²	1	4	yes	complemented
229	#16811135	C₂²	1	2	yes	complemented
230	#16811133	C₂²	1	1	yes	characteristic, complemented
231	#16811132	C₂²	1	2	yes	complemented
232	#16811132	C₂²	1	4	yes	complemented
233	#16811131	C₂²	1	2	yes	complemented
234	C₂×#13133187	C₂²	1	4	yes	complemented
235	#120×D₅₃	C₂²	1	4	yes	complemented
236	#16811099	C₂²	1	2	yes	complemented
237	#16811097	C₂²	1	4	yes	complemented
238	#16811096	C₂²	1	4	yes	complemented
239	#16811095	C₂²	1	2	yes	complemented
240	#16811095	C₂²	1	4	yes	complemented
241	#16811095	C₂²	1	4	yes	complemented
242	C₄×#11719949	C₂²	1	1	yes	characteristic, complemented
243	C₄×#11719949	C₂²	1	2	yes	complemented
244	C₄×#11719949	C₂²	1	2	yes	complemented
245	#16811091	C₂²	1	2	yes	complemented
246	#16811091	C₂²	1	2	yes	complemented
247	C₄×#11719947	C₂²	1	2	yes	complemented
248	C₄×#11719947	C₂²	1	1	yes	characteristic, complemented
249	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	complemented
250	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	complemented
251	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic, complemented
252	C₅₃×#563	C₂²	1	2	yes	complemented
253	C₅₃×#562	C₂²	1	2	yes	complemented
254	C₅₃×#556	C₂²	1	2	yes	complemented
255	C₅₃×#551	C₂²	1	4	yes	complemented
256	D₄×Q₈×C₅₃	C₂²	1	2	yes	complemented
257	C₅₃×#548	C₂²	1	2	yes	complemented
258	C₅₃×#546	C₂²	1	2	yes	complemented
259	C₅₃×#543	C₂²	1	2	yes	complemented
260	C₅₃×#542	C₂²	1	2	yes	complemented
261	C₅₃×#542	C₂²	1	4	yes	complemented
262	C₅₃×#538	C₂²	1	2	yes	complemented
263	C₅₃×#536	C₂²	1	2	yes	complemented
264	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
265	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
266	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic, complemented
267	C₂⁴×D₅₃	C₂³	1	2	yes	—
268	#13133265	—	4	8	no	—
269	#13133263	—	4	8	no	—
270	C₂×#11719949	C₂³	1	2	yes	—
271	C₂×#11719949	C₂³	1	1	yes	characteristic
272	C₂×#11719949	C₂³	1	4	yes	—
273	C₂×#11719949	C₂³	1	2	yes	—
274	C₂×#11719949	C₂³	1	2	yes	—
275	C₂×#11719949	C₂³	1	2	yes	complemented
276	C₂×#11719945	C₂³	1	2	yes	—
277	C₂×#11719945	C₂³	1	4	yes	—
278	C₂×#11719945	C₂³	1	2	yes	—
279	C₂×#11719945	C₂³	1	4	yes	—
280	C₂×#11719945	C₂³	1	4	yes	complemented
281	C₂×#11719945	C₂³	1	2	yes	complemented
282	C₂×#11719947	C₂³	1	2	yes	—
283	C₂×#11719947	C₂³	1	1	yes	characteristic
284	C₂²×Dic₁₀₆	C₂³	1	2	yes	—
285	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
286	C₂×Q₈×D₅₃	—	4	4	no	—
287	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
288	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
289	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
290	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
291	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
292	C₂×Q₈×D₅₃	C₂³	1	4	yes	complemented
293	C₂²×D₂₁₂	C₂³	1	4	yes	—
294	C₂²×D₂₁₂	C₂³	1	4	yes	—
295	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
296	C₂²×D₂₁₂	C₂³	1	2	yes	—
297	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
298	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
299	C₂×D₄×D₅₃	—	4	4	no	—
300	C₂×D₄×D₅₃	C₂³	1	2	yes	—
301	C₂×D₄×D₅₃	C₂³	1	4	yes	—
302	C₂×D₄×D₅₃	C₂³	1	2	yes	—
303	C₂×D₄×D₅₃	C₂³	1	4	yes	—
304	C₂×D₄×D₅₃	C₂³	1	4	yes	—
305	C₂×D₄×D₅₃	C₂³	1	2	yes	—
306	C₂×D₄×D₅₃	C₂³	1	4	yes	—
307	C₂×D₄×D₅₃	C₂³	1	2	yes	—
308	C₂×D₄×D₅₃	C₂³	1	2	yes	—
309	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
310	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
311	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
312	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
313	#13133217	C₂³	1	1	yes	characteristic, complemented
314	#13133216	C₂³	1	4	yes	complemented
315	#13133216	C₂³	1	4	yes	complemented
316	#13133216	C₂³	1	4	yes	complemented
317	#13133216	C₂³	1	1	yes	characteristic, complemented
318	#13133216	C₂³	1	1	yes	characteristic, complemented
319	#13133215	C₂³	1	4	yes	complemented
320	#13133215	C₂³	1	2	yes	complemented
321	#13133215	C₂³	1	1	yes	characteristic, complemented
322	#13133214	C₂³	1	2	yes	—
323	#13133214	C₂³	1	1	yes	characteristic, complemented
324	#13133213	C₂³	1	2	yes	—
325	#13133213	C₂³	1	4	yes	—
326	#13133213	C₂³	1	1	yes	characteristic, complemented
327	#13133212	C₂³	1	4	yes	complemented
328	#13133212	C₂³	1	4	yes	complemented
329	#13133212	C₂³	1	4	yes	complemented
330	#13133212	C₂³	1	4	yes	complemented
331	#13133212	C₂³	1	4	yes	complemented
332	#13133212	C₂³	1	4	yes	complemented
333	#13133212	C₂³	1	4	yes	complemented
334	#13133212	C₂³	1	2	yes	complemented
335	#13133212	C₂³	1	4	yes	complemented
336	#13133212	C₂³	1	4	yes	complemented
337	#13133211	C₂³	1	4	yes	complemented
338	#13133211	C₂³	1	2	yes	complemented
339	#13133210	C₂³	1	4	yes	complemented
340	#13133210	C₂³	1	4	yes	complemented
341	#13133210	C₂³	1	4	yes	complemented
342	#13133210	C₂³	1	4	yes	complemented
343	#13133210	C₂³	1	4	yes	complemented
344	#13133210	C₂³	1	2	yes	complemented
345	#13133209	C₂³	1	1	yes	characteristic, complemented
346	#13133208	C₂³	1	2	yes	complemented
347	#13133208	C₂³	1	2	yes	complemented
348	#13133207	C₂³	1	2	yes	complemented
349	#13133207	C₂³	1	2	yes	complemented
350	#13133206	C₂³	1	2	yes	—
351	#13133206	C₂³	1	2	yes	—
352	#13133206	C₂³	1	2	yes	—
353	#13133206	C₂³	1	2	yes	—
354	#13133206	C₂³	1	2	yes	—
355	#13133206	C₂³	1	4	yes	complemented
356	#13133206	C₂³	1	4	yes	complemented
357	#13133206	C₂³	1	4	yes	complemented
358	#13133206	C₂³	1	4	yes	complemented
359	#13133206	C₂³	1	4	yes	complemented
360	#13133206	C₂³	1	4	yes	complemented
361	#13133206	C₂³	1	2	yes	complemented
362	#13133206	C₂³	1	2	yes	complemented
363	#13133206	C₂³	1	2	yes	complemented
364	#13133205	C₂³	1	2	yes	—
365	#13133205	C₂³	1	2	yes	—
366	#13133205	C₂³	1	2	yes	—
367	#13133205	C₂³	1	2	yes	—
368	#13133205	C₂³	1	4	yes	complemented
369	#13133205	C₂³	1	4	yes	complemented
370	#13133205	C₂³	1	4	yes	complemented
371	#13133205	C₂³	1	2	yes	complemented
372	#13133205	C₂³	1	2	yes	complemented
373	#13133205	C₂³	1	1	yes	characteristic, complemented
374	#13133204	C₂³	1	2	yes	—
375	#13133204	C₂³	1	2	yes	—
376	#13133204	C₂³	1	2	yes	—
377	#13133204	C₂³	1	2	yes	—
378	#13133204	C₂³	1	4	yes	complemented
379	#13133203	C₂³	1	4	yes	—
380	#13133203	C₂³	1	4	yes	—
381	#13133203	C₂³	1	4	yes	—
382	#13133203	C₂³	1	4	yes	—
383	#13133203	C₂³	1	4	yes	—
384	#13133203	C₂³	1	4	yes	—
385	#13133203	C₂³	1	4	yes	—
386	#13133203	C₂³	1	4	yes	—
387	#13133203	C₂³	1	4	yes	—
388	#13133203	C₂³	1	4	yes	complemented
389	#13133203	C₂³	1	4	yes	complemented
390	#13133203	C₂³	1	4	yes	complemented
391	#13133203	C₂³	1	4	yes	complemented
392	#13133203	C₂³	1	4	yes	complemented
393	#13133203	C₂³	1	4	yes	complemented
394	#13133203	C₂³	1	4	yes	complemented
395	#13133203	C₂³	1	4	yes	complemented
396	#13133203	C₂³	1	4	yes	complemented
397	#13133203	C₂³	1	2	yes	complemented
398	#13133203	C₂³	1	2	yes	complemented
399	#13133202	C₂³	1	2	yes	—
400	#13133202	C₂³	1	4	yes	—
401	#13133202	C₂³	1	4	yes	—
402	#13133202	C₂³	1	4	yes	—
403	#13133202	C₂³	1	4	yes	—
404	#13133202	C₂³	1	4	yes	—
405	#13133202	C₂³	1	2	yes	—
406	#13133202	C₂³	1	4	yes	—
407	#13133202	C₂³	1	4	yes	complemented
408	#13133202	C₂³	1	4	yes	complemented
409	#13133202	C₂³	1	4	yes	complemented
410	#13133202	C₂³	1	4	yes	complemented
411	#13133202	C₂³	1	4	yes	complemented
412	#13133202	C₂³	1	4	yes	complemented
413	#13133202	C₂³	1	4	yes	complemented
414	#13133202	C₂³	1	4	yes	complemented
415	#13133202	C₂³	1	4	yes	complemented
416	#13133202	C₂³	1	4	yes	complemented
417	#13133201	C₂³	1	4	yes	—
418	#13133201	C₂³	1	4	yes	complemented
419	#13133201	C₂³	1	4	yes	complemented
420	#13133201	C₂³	1	4	yes	complemented
421	#13133200	C₂³	1	2	yes	—
422	#13133200	C₂³	1	4	yes	—
423	#13133200	C₂³	1	4	yes	complemented
424	#13133199	C₂³	1	2	yes	—
425	#13133199	C₂³	1	4	yes	—
426	#13133199	C₂³	1	4	yes	—
427	#13133199	C₂³	1	2	yes	—
428	#13133199	C₂³	1	4	yes	complemented
429	#13133199	C₂³	1	4	yes	complemented
430	#13133199	C₂³	1	4	yes	complemented
431	#13133199	C₂³	1	4	yes	complemented
432	#13133199	C₂³	1	4	yes	complemented
433	#13133199	C₂³	1	4	yes	complemented
434	#13133198	C₂³	1	4	yes	complemented
435	#13133197	C₂³	1	2	yes	—
436	#13133197	C₂³	1	1	yes	characteristic
437	#13133197	C₂³	1	2	yes	—
438	#13133197	C₂³	1	4	yes	complemented
439	#13133197	C₂³	1	2	yes	complemented
440	#13133197	C₂³	1	4	yes	complemented
441	#13133197	C₂³	1	4	yes	complemented
442	#13133196	C₂³	1	1	yes	characteristic
443	#13133196	C₂³	1	2	yes	complemented
444	#13133196	C₂³	1	4	yes	complemented
445	#13133196	C₂³	1	4	yes	complemented
446	#13133195	C₂³	1	2	yes	—
447	#13133195	C₂³	1	4	yes	—
448	#13133195	C₂³	1	2	yes	—
449	#13133195	C₂³	1	2	yes	—
450	#13133195	C₂³	1	4	yes	complemented
451	#13133195	C₂³	1	4	yes	complemented
452	#13133195	C₂³	1	4	yes	complemented
453	#13133195	C₂³	1	4	yes	complemented
454	#13133195	C₂³	1	4	yes	complemented
455	#13133195	C₂³	1	4	yes	complemented
456	#13133195	C₂³	1	4	yes	complemented
457	#13133195	C₂³	1	4	yes	complemented
458	#13133195	C₂³	1	4	yes	complemented
459	#13133195	C₂³	1	4	yes	complemented
460	#13133194	C₂³	1	4	yes	—
461	#13133194	C₂³	1	2	yes	—
462	#13133194	C₂³	1	4	yes	complemented
463	#13133194	C₂³	1	4	yes	complemented
464	#13133193	C₂³	1	2	yes	—
465	#13133193	C₂³	1	4	yes	—
466	#13133193	C₂³	1	1	yes	characteristic
467	#13133193	C₂³	1	2	yes	—
468	#13133193	C₂³	1	2	yes	complemented
469	#13133193	C₂³	1	4	yes	complemented
470	#13133193	C₂³	1	4	yes	complemented
471	#13133193	C₂³	1	4	yes	complemented
472	#13133192	C₂³	1	1	yes	characteristic
473	#13133192	C₂³	1	2	yes	—
474	#13133192	C₂³	1	2	yes	—
475	#13133192	C₂³	1	4	yes	—
476	#13133192	C₂³	1	2	yes	—
477	#13133192	C₂³	1	4	yes	—
478	#13133192	C₂³	1	4	yes	—
479	#13133192	C₂³	1	2	yes	—
480	#13133192	C₂³	1	2	yes	—
481	#13133192	C₂³	1	4	yes	complemented
482	#13133192	C₂³	1	4	yes	complemented
483	#13133192	C₂³	1	4	yes	complemented
484	#13133192	C₂³	1	4	yes	complemented
485	#13133192	C₂³	1	4	yes	complemented
486	#13133192	C₂³	1	4	yes	complemented
487	#13133191	C₂³	1	4	yes	—
488	#13133191	C₂³	1	2	yes	—
489	#13133191	C₂³	1	2	yes	—
490	#13133191	C₂³	1	4	yes	—
491	#13133191	C₂³	1	1	yes	characteristic
492	#13133191	C₂³	1	2	yes	—
493	#13133191	C₂³	1	4	yes	complemented
494	#13133190	C₂³	1	4	yes	—
495	#13133190	C₂³	1	4	yes	—
496	#13133190	C₂³	1	2	yes	—
497	#13133190	C₂³	1	4	yes	—
498	#13133190	C₂³	1	4	yes	—
499	#13133190	C₂³	1	2	yes	—
500	#13133190	C₂³	1	4	yes	—
501	#13133190	C₂³	1	2	yes	—
502	#13133190	C₂³	1	4	yes	complemented
503	#13133190	C₂³	1	4	yes	complemented
504	#13133190	C₂³	1	4	yes	complemented
505	#13133190	C₂³	1	4	yes	complemented
506	#13133189	C₂³	1	4	yes	—
507	#13133189	C₂³	1	4	yes	—
508	#13133189	C₂³	1	2	yes	—
509	#13133189	C₂³	1	4	yes	—
510	#13133189	C₂³	1	4	yes	complemented
511	#13133189	C₂³	1	4	yes	complemented
512	#13133188	C₂³	1	2	yes	—
513	#13133188	C₂³	1	1	yes	characteristic
514	#13133188	C₂³	1	4	yes	complemented
515	#13133188	C₂³	1	4	yes	complemented
516	#13133187	C₂³	1	4	yes	—
517	#13133187	C₂³	1	4	yes	—
518	#13133187	C₂³	1	4	yes	—
519	#13133187	C₂³	1	4	yes	—
520	#13133187	C₂³	1	4	yes	—
521	#13133187	C₂³	1	4	yes	—
522	#13133187	C₂³	1	4	yes	—
523	#13133187	C₂³	1	4	yes	—
524	#13133187	C₂³	1	4	yes	—
525	#13133187	C₂³	1	4	yes	—
526	#13133187	C₂³	1	4	yes	—
527	#13133187	C₂³	1	2	yes	—
528	#13133187	C₂³	1	4	yes	complemented
529	#13133187	C₂³	1	4	yes	complemented
530	#13133187	C₂³	1	4	yes	complemented
531	#13133187	C₂³	1	4	yes	complemented
532	#13133187	C₂³	1	4	yes	complemented
533	#13133187	C₂³	1	4	yes	complemented
534	#13133186	C₂³	1	4	yes	—
535	#13133185	C₂³	1	4	yes	—
536	#13133185	C₂³	1	4	yes	—
537	#13133185	C₂³	1	4	yes	—
538	#13133185	C₂³	1	4	yes	—
539	#13133185	C₂³	1	2	yes	—
540	#13133185	C₂³	1	4	yes	complemented
541	#13133185	C₂³	1	4	yes	complemented
542	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
543	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
544	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
545	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
546	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
547	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
548	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
549	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
550	#13133182	C₂³	1	2	yes	complemented
551	#13133182	C₂³	1	2	yes	complemented
552	#13133182	C₂³	1	4	yes	complemented
553	#13133182	C₂³	1	2	yes	complemented
554	#13133182	C₂³	1	2	yes	complemented
555	#13133182	C₂³	1	2	yes	complemented
556	#13133182	C₂³	1	1	yes	characteristic, complemented
557	#13133182	C₂³	1	2	yes	complemented
558	C₄×D₂₁₂	C₂³	1	4	yes	—
559	C₄×D₂₁₂	C₂³	1	4	yes	—
560	C₄×D₂₁₂	C₂³	1	2	yes	—
561	C₄×D₂₁₂	C₂³	1	2	yes	—
562	C₄×D₂₁₂	C₂³	1	4	yes	—
563	C₄×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
564	C₄×D₂₁₂	C₂³	1	2	yes	complemented
565	C₄×D₂₁₂	C₂³	1	4	yes	complemented
566	C₄×D₂₁₂	C₂³	1	4	yes	complemented
567	C₄×D₂₁₂	C₂³	1	4	yes	complemented
568	C₄×D₂₁₂	C₂³	1	2	yes	complemented
569	D₄×Dic₅₃	C₂³	1	2	yes	—
570	D₄×Dic₅₃	C₂³	1	2	yes	—
571	D₄×Dic₅₃	C₂³	1	4	yes	complemented
572	D₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
573	#13133179	C₂³	1	2	yes	—
574	#13133179	C₂³	1	2	yes	—
575	#13133179	C₂³	1	4	yes	—
576	#13133179	C₂³	1	4	yes	—
577	#13133179	C₂³	1	4	yes	—
578	#13133179	C₂³	1	2	yes	—
579	#13133179	C₂³	1	4	yes	—
580	#13133179	C₂³	1	2	yes	—
581	#13133179	C₂³	1	2	yes	complemented
582	#13133179	C₂³	1	2	yes	complemented
583	#13133179	C₂³	1	2	yes	complemented
584	#13133179	C₂³	1	4	yes	complemented
585	#13133179	C₂³	1	4	yes	complemented
586	#13133179	C₂³	1	4	yes	complemented
587	#13133179	C₂³	1	2	yes	complemented
588	#13133179	C₂³	1	1	yes	characteristic, complemented
589	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
590	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
591	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
592	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
593	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
594	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
595	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
596	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
597	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
598	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
599	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
600	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
601	#13133177	C₂³	1	2	yes	—
602	#13133177	C₂³	1	2	yes	—
603	#13133177	C₂³	1	4	yes	—
604	#13133177	C₂³	1	4	yes	—
605	#13133177	C₂³	1	4	yes	—
606	#13133177	C₂³	1	4	yes	—
607	#13133177	C₂³	1	2	yes	—
608	#13133177	C₂³	1	2	yes	—
609	#13133177	C₂³	1	4	yes	—
610	#13133177	C₂³	1	2	yes	complemented
611	#13133177	C₂³	1	2	yes	complemented
612	#13133177	C₂³	1	4	yes	complemented
613	#13133177	C₂³	1	4	yes	complemented
614	#13133177	C₂³	1	2	yes	complemented
615	#13133176	C₂³	1	4	yes	complemented
616	#13133175	C₂³	1	4	yes	—
617	#13133175	C₂³	1	1	yes	characteristic
618	#13133175	C₂³	1	1	yes	characteristic
619	#13133175	C₂³	1	2	yes	—
620	#13133175	C₂³	1	2	yes	—
621	#13133175	C₂³	1	2	yes	complemented
622	#13133175	C₂³	1	4	yes	complemented
623	#13133175	C₂³	1	4	yes	complemented
624	#13133175	C₂³	1	4	yes	complemented
625	#13133175	C₂³	1	2	yes	complemented
626	#13133175	C₂³	1	4	yes	complemented
627	#13133174	C₂³	1	4	yes	—
628	#13133174	C₂³	1	2	yes	—
629	#13133174	C₂³	1	4	yes	complemented
630	#13133174	C₂³	1	4	yes	complemented
631	#13133174	C₂³	1	4	yes	complemented
632	#13133174	C₂³	1	2	yes	complemented
633	#13133173	C₂³	1	2	yes	—
634	#13133173	C₂³	1	4	yes	complemented
635	#13133173	C₂³	1	2	yes	complemented
636	#13133173	C₂³	1	4	yes	complemented
637	#13133173	C₂³	1	2	yes	complemented
638	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
639	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
640	C₂×#11719921	C₂³	1	2	yes	—
641	C₂×#11719921	C₂³	1	4	yes	—
642	C₂×#11719921	C₂³	1	2	yes	—
643	C₂×#11719921	C₂³	1	4	yes	—
644	C₂×#11719921	C₂³	1	2	yes	—
645	C₂×#11719921	C₂³	1	2	yes	—
646	C₂×#11719921	C₂³	1	4	yes	complemented
647	C₂×#11719921	C₂³	1	4	yes	complemented
648	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
649	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
650	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
651	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
652	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
653	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
654	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
655	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
656	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
657	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
658	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
659	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
660	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
661	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
662	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
663	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
664	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
665	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
666	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
667	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
668	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
669	C₄²×D₅₃	C₂³	1	1	yes	characteristic
670	C₄²×D₅₃	C₂³	1	1	yes	characteristic
671	C₄²×D₅₃	C₂³	1	1	yes	characteristic
672	C₄²×D₅₃	C₂³	1	1	yes	characteristic
673	C₄²×D₅₃	C₂³	1	1	yes	characteristic
674	C₄²×D₅₃	C₂³	1	1	yes	characteristic
675	C₄²×D₅₃	C₂³	1	1	yes	characteristic
676	C₄²×D₅₃	C₂³	1	1	yes	characteristic
677	C₄²×D₅₃	C₂³	1	2	yes	complemented
678	C₄²×D₅₃	C₂³	1	4	yes	complemented
679	C₂×#41×C₅₃	C₂³	1	2	yes	—
680	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
681	C₂²×Q₈×C₅₃	C₂³	1	2	yes	complemented
682	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
683	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
684	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
685	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
686	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
687	#126×C₅₃	C₂³	1	4	yes	complemented
688	#126×C₅₃	C₂³	1	4	yes	complemented
689	#126×C₅₃	C₂³	1	4	yes	complemented
690	#126×C₅₃	C₂³	1	2	yes	complemented
691	#125×C₅₃	C₂³	1	1	yes	characteristic, complemented
692	#125×C₅₃	C₂³	1	2	yes	complemented
693	#124×C₅₃	C₂³	1	2	yes	—
694	#124×C₅₃	C₂³	1	2	yes	—
695	#124×C₅₃	C₂³	1	2	yes	—
696	#124×C₅₃	C₂³	1	2	yes	—
697	#124×C₅₃	C₂³	1	2	yes	—
698	#124×C₅₃	C₂³	1	4	yes	complemented
699	#124×C₅₃	C₂³	1	4	yes	complemented
700	#124×C₅₃	C₂³	1	1	yes	characteristic, complemented
701	#123×C₅₃	C₂³	1	2	yes	—
702	#123×C₅₃	C₂³	1	4	yes	—
703	#123×C₅₃	C₂³	1	4	yes	complemented
704	#123×C₅₃	C₂³	1	4	yes	complemented
705	#123×C₅₃	C₂³	1	4	yes	complemented
706	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
707	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
708	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
709	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
710	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
711	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
712	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
713	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
714	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
715	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
716	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
717	#121×C₅₃	C₂³	1	2	yes	—
718	#121×C₅₃	C₂³	1	1	yes	characteristic
719	#121×C₅₃	C₂³	1	4	yes	—
720	#121×C₅₃	C₂³	1	4	yes	complemented
721	#120×C₅₃	C₂³	1	4	yes	—
722	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
723	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
724	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
725	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
726	C₄×D₄×C₅₃	C₂³	1	4	yes	—
727	C₄×D₄×C₅₃	C₂³	1	2	yes	—
728	C₄×D₄×C₅₃	C₂³	1	2	yes	—
729	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
730	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
731	#117×C₅₃	C₂³	1	2	yes	—
732	#117×C₅₃	C₂³	1	4	yes	complemented
733	#117×C₅₃	C₂³	1	2	yes	complemented
734	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
735	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
736	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
737	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
738	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
739	C₂³×D₅₃	—	4	4	no	—
740	C₂³×D₅₃	—	4	4	no	—
741	C₂³×D₅₃	—	4	4	no	—
742	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
743	C₂³×D₅₃	C₂⁴	1	4	yes	—
744	C₂³×D₅₃	C₂⁴	1	4	yes	—
745	C₂³×D₅₃	C₂⁴	1	2	yes	—
746	C₂³×D₅₃	C₂⁴	1	4	yes	—
747	C₂³×D₅₃	C₂⁴	1	4	yes	—
748	#41×C₅₃	—	4	4	no	—
749	C₂×Q₈×C₅₃	—	4	2	no	—
750	C₂×Q₈×C₅₃	—	4	4	no	—
751	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
752	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
753	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
754	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
755	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
756	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
757	C₂×D₄×C₅₃	—	4	2	no	—
758	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
759	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
760	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
761	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
762	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
763	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
764	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
765	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
766	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
767	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
768	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
769	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
770	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
771	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
772	C₂×C₂²⋊D₅₃	—	4	4	no	—
773	C₂×C₂²⋊D₅₃	—	4	8	no	—
774	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
775	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
776	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
777	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
778	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
779	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
780	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
781	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
782	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
783	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
784	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
785	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
786	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
787	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
788	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
789	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
790	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
791	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
792	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
793	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
794	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
795	#11719949	—	2	8	no	—
796	#11719949	—	4	2	no	—
797	#11719949	—	4	4	no	—
798	#11719949	—	4	8	no	—
799	#11719949	—	4	4	no	—
800	#11719949	—	4	4	no	—
801	Q₈×D₅₃	—	2	8	no	—
802	Q₈×D₅₃	—	4	4	no	—
803	Q₈×D₅₃	—	4	8	no	—
804	Q₈×D₅₃	—	4	4	no	—
805	Q₈×D₅₃	—	4	4	no	—
806	Q₈×D₅₃	—	4	4	no	—
807	#11719947	—	4	2	no	—
808	#11719947	—	4	4	no	—
809	D₄×D₅₃	—	2	8	no	—
810	D₄×D₅₃	—	4	4	no	—
811	D₄×D₅₃	—	4	4	no	—
812	D₄×D₅₃	—	4	4	no	—
813	D₄×D₅₃	—	4	8	no	—
814	D₄×D₅₃	—	4	4	no	—
815	D₄×D₅₃	—	4	8	no	—
816	D₄×D₅₃	—	4	8	no	—
817	D₄×D₅₃	—	4	8	no	—
818	#11719945	—	2	8	no	—
819	#11719945	—	4	8	no	—
820	#11719945	—	4	8	no	—
821	#11719945	—	4	4	no	—
822	#11719945	—	4	8	no	—
823	#11719945	—	4	4	no	—
824	C₂×D₂₁₂	—	4	2	no	—
825	C₂×D₂₁₂	—	4	4	no	—
826	C₂×D₂₁₂	—	4	8	no	—
827	C₂×D₂₁₂	—	4	8	no	—
828	C₂×D₂₁₂	C₂⁴	1	2	yes	—
829	C₂×D₂₁₂	C₂⁴	1	4	yes	—
830	C₂×D₂₁₂	C₂⁴	1	2	yes	—
831	C₂×D₂₁₂	C₂⁴	1	4	yes	—
832	C₂×D₂₁₂	C₂⁴	1	2	yes	—
833	C₂×D₂₁₂	C₂⁴	1	2	yes	—
834	C₂×D₂₁₂	C₂⁴	1	4	yes	—
835	C₂×D₂₁₂	C₂⁴	1	2	yes	—
836	C₂×D₂₁₂	C₂⁴	1	4	yes	—
837	C₂×D₂₁₂	C₂⁴	1	2	yes	—
838	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
839	C₂×D₂₁₂	C₂⁴	1	4	yes	—
840	C₂×D₂₁₂	C₂⁴	1	4	yes	—
841	C₂×D₂₁₂	C₂⁴	1	4	yes	—
842	C₂×D₂₁₂	C₂⁴	1	2	yes	—
843	C₂×D₂₁₂	C₂⁴	1	4	yes	—
844	C₂×C₄×D₅₃	—	2	4	no	—
845	C₂×C₄×D₅₃	—	4	2	no	—
846	C₂×C₄×D₅₃	—	4	4	no	—
847	C₂×C₄×D₅₃	—	4	2	no	—
848	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
849	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
850	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
851	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
852	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
853	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
854	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
855	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
856	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
857	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
858	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
859	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
860	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
861	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
862	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
863	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
864	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
865	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
866	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
867	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
868	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
869	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
870	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
871	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
872	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
873	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
874	C₂×Dic₁₀₆	—	4	4	no	—
875	C₂×Dic₁₀₆	—	4	2	no	—
876	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
877	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
878	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
879	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
880	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
881	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
882	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
883	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
884	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
885	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
886	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
887	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
888	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
889	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
890	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
891	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
892	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
893	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
894	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
895	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
896	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
897	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
898	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
899	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
900	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
901	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
902	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
903	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
904	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
905	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
906	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
907	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
908	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
909	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
910	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
911	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
912	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
913	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
914	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
915	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
916	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
917	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
918	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
919	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
920	C₄²×C₅₃	C₂⁴	1	4	yes	—
921	C₄²×C₅₃	C₂⁴	1	2	yes	—
922	C₄²×C₅₃	C₂⁴	1	4	yes	—
923	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
924	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
925	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
926	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
927	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
928	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
929	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
930	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
931	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
932	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
933	#11719921	C₂⁴	1	4	yes	—
934	#11719921	C₂⁴	1	4	yes	—
935	#11719921	C₂⁴	1	4	yes	—
936	#11719921	C₂⁴	1	4	yes	—
937	#11719921	C₂⁴	1	4	yes	—
938	#11719921	C₂⁴	1	4	yes	—
939	#11719921	C₂⁴	1	4	yes	—
940	#11719921	C₂⁴	1	4	yes	—
941	#11719921	C₂⁴	1	2	yes	—
942	#11719921	C₂⁴	1	2	yes	—
943	#11719921	C₂⁴	1	4	yes	—
944	#11719921	C₂⁴	1	4	yes	—
945	#11719921	C₂⁴	1	4	yes	—
946	#11719921	C₂⁴	1	4	yes	—
947	#11719921	C₂⁴	1	2	yes	—
948	#11719921	C₂⁴	1	2	yes	—
949	#11719921	C₂⁴	1	4	yes	—
950	#11719921	C₂⁴	1	4	yes	—
951	#11719921	C₂⁴	1	4	yes	—
952	#11719921	C₂⁴	1	4	yes	—
953	#11719921	C₂⁴	1	4	yes	—
954	#11719921	C₂⁴	1	4	yes	—
955	#11719921	C₂⁴	1	4	yes	—
956	#11719921	C₂⁴	1	2	yes	—
957	#11719921	C₂⁴	1	2	yes	—
958	#11719921	C₂⁴	1	4	yes	—
959	#11719921	C₂⁴	1	4	yes	—
960	#11719921	C₂⁴	1	4	yes	—
961	#11719921	C₂⁴	1	4	yes	—
962	#11719921	C₂⁴	1	4	yes	—
963	#11719921	C₂⁴	1	4	yes	—
964	#11719921	C₂⁴	1	2	yes	—
965	#11719921	C₂⁴	1	2	yes	—
966	#11719921	C₂⁴	1	2	yes	—
967	#11719921	C₂⁴	1	4	yes	—
968	#11719921	C₂⁴	1	4	yes	—
969	#11719921	C₂⁴	1	4	yes	—
970	#11719921	C₂⁴	1	2	yes	—
971	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
972	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
973	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
974	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
975	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
976	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
977	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
978	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
979	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
980	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
981	#11719919	C₂⁴	1	2	yes	—
982	#11719919	C₂⁴	1	2	yes	—
983	#11719919	C₂⁴	1	2	yes	—
984	#11719919	C₂⁴	1	2	yes	—
985	#11719919	C₂⁴	1	4	yes	—
986	#11719919	C₂⁴	1	4	yes	—
987	#11719919	C₂⁴	1	4	yes	—
988	#11719919	C₂⁴	1	2	yes	—
989	#11719919	C₂⁴	1	2	yes	—
990	#11719919	C₂⁴	1	2	yes	—
991	#11719919	C₂⁴	1	2	yes	—
992	#11719919	C₂⁴	1	4	yes	—
993	#11719919	C₂⁴	1	4	yes	—
994	#11719919	C₂⁴	1	4	yes	—
995	#11719919	C₂⁴	1	2	yes	—
996	#11719919	C₂⁴	1	2	yes	—
997	#11719919	C₂⁴	1	4	yes	—
998	#11719919	C₂⁴	1	4	yes	—
999	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1000	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1001	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1002	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1003	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1004	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1005	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1006	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1007	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1008	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1009	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1010	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1011	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1012	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1013	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1014	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1015	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1016	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1017	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1018	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1019	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1020	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1021	C₂³×C₅₃	—	2	4	no	—
1022	C₂³×C₅₃	—	4	2	no	—
1023	C₂³×C₅₃	—	4	2	no	—
1024	C₂³×C₅₃	C₂⁵	1	2	yes	—
1025	C₂³×C₅₃	C₂⁵	1	4	yes	—
1026	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1027	C₂²×D₅₃	—	2	2	no	—
1028	C₂²×D₅₃	—	2	2	no	—
1029	C₂²×D₅₃	—	2	2	no	—
1030	C₂²×D₅₃	—	2	4	no	—
1031	C₂²×D₅₃	—	2	8	no	—
1032	C₂²×D₅₃	—	2	8	no	—
1033	C₂²×D₅₃	—	4	2	no	—
1034	C₂²×D₅₃	—	4	4	no	—
1035	C₂²×D₅₃	—	4	4	no	—
1036	C₂²×D₅₃	—	4	4	no	—
1037	C₂²×D₅₃	—	4	4	no	—
1038	C₂²×D₅₃	—	4	2	no	—
1039	C₂²×D₅₃	—	4	4	no	—
1040	C₂²×D₅₃	—	4	4	no	—
1041	C₂²×D₅₃	—	4	4	no	—
1042	C₂²×D₅₃	—	4	4	no	—
1043	C₂²×D₅₃	—	4	4	no	—
1044	C₂²×D₅₃	—	4	4	no	—
1045	C₂²×D₅₃	—	8	16	no	—
1046	C₂²×D₅₃	C₂⁵	1	4	yes	—
1047	C₂²×D₅₃	C₂⁵	1	2	yes	—
1048	C₂²×D₅₃	C₂⁵	1	4	yes	—
1049	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1050	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1051	Q₈×C₅₃	—	2	4	no	—
1052	Q₈×C₅₃	—	2	4	no	—
1053	Q₈×C₅₃	—	4	2	no	—
1054	Q₈×C₅₃	—	4	4	no	—
1055	Q₈×C₅₃	—	4	1	no	—
1056	Q₈×C₅₃	—	4	2	no	—
1057	D₄×C₅₃	—	2	4	no	—
1058	D₄×C₅₃	—	2	4	no	—
1059	D₄×C₅₃	—	4	2	no	—
1060	D₄×C₅₃	—	4	4	no	—
1061	D₄×C₅₃	—	4	4	no	—
1062	D₄×C₅₃	—	4	1	no	—
1063	C₂×C₄×C₅₃	—	2	2	no	—
1064	C₂×C₄×C₅₃	—	2	2	no	—
1065	C₂×C₄×C₅₃	—	2	4	no	—
1066	C₂×C₄×C₅₃	—	4	2	no	—
1067	C₂×C₄×C₅₃	—	4	1	no	—
1068	C₂×C₄×C₅₃	—	4	4	no	—
1069	C₂×C₄×C₅₃	—	4	4	no	—
1070	C₂×C₄×C₅₃	—	4	4	no	—
1071	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1072	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1073	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1074	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1075	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1076	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1077	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1078	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1079	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1080	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1081	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1082	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1083	C₂²⋊D₅₃	—	2	8	no	—
1084	C₂²⋊D₅₃	—	2	4	no	—
1085	C₂²⋊D₅₃	—	2	4	no	—
1086	C₂²⋊D₅₃	—	2	4	no	—
1087	C₂²⋊D₅₃	—	2	4	no	—
1088	C₂²⋊D₅₃	—	2	8	no	—
1089	C₂²⋊D₅₃	—	4	4	no	—
1090	C₂²⋊D₅₃	—	4	4	no	—
1091	C₂²⋊D₅₃	—	4	4	no	—
1092	C₂²⋊D₅₃	—	4	4	no	—
1093	C₂²⋊D₅₃	—	4	4	no	—
1094	C₂²⋊D₅₃	—	4	2	no	—
1095	C₂²⋊D₅₃	—	4	4	no	—
1096	C₂²⋊D₅₃	—	4	4	no	—
1097	C₂×Dic₅₃	—	2	2	no	—
1098	C₂×Dic₅₃	—	2	2	no	—
1099	C₂×Dic₅₃	—	4	2	no	—
1100	C₂×Dic₅₃	—	4	1	no	—
1101	C₂×Dic₅₃	—	4	2	no	—
1102	C₂×Dic₅₃	—	4	2	no	—
1103	C₂×Dic₅₃	—	4	4	no	—
1104	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1105	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1106	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1107	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1108	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1109	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1110	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1111	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1112	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1113	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1114	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1115	D₂₁₂	—	2	4	no	—
1116	D₂₁₂	—	2	8	no	—
1117	D₂₁₂	—	2	4	no	—
1118	D₂₁₂	—	2	8	no	—
1119	D₂₁₂	—	2	4	no	—
1120	D₂₁₂	—	2	4	no	—
1121	D₂₁₂	—	4	4	no	—
1122	D₂₁₂	—	4	4	no	—
1123	D₂₁₂	—	4	4	no	—
1124	D₂₁₂	—	4	2	no	—
1125	D₂₁₂	—	4	4	no	—
1126	D₂₁₂	—	4	2	no	—
1127	D₂₁₂	—	4	4	no	—
1128	D₂₁₂	—	4	4	no	—
1129	D₂₁₂	—	4	1	no	—
1130	D₂₁₂	—	4	2	no	—
1131	C₄×D₅₃	—	2	2	no	—
1132	C₄×D₅₃	—	2	8	no	—
1133	C₄×D₅₃	—	2	2	no	—
1134	C₄×D₅₃	—	2	2	no	—
1135	C₄×D₅₃	—	2	2	no	—
1136	C₄×D₅₃	—	2	4	no	—
1137	C₄×D₅₃	—	2	2	no	—
1138	C₄×D₅₃	—	2	8	no	—
1139	C₄×D₅₃	—	4	1	no	—
1140	C₄×D₅₃	—	4	1	no	—
1141	C₄×D₅₃	—	4	1	no	—
1142	C₄×D₅₃	—	4	1	no	—
1143	C₄×D₅₃	—	4	1	no	—
1144	C₄×D₅₃	—	4	1	no	—
1145	C₄×D₅₃	—	4	4	no	—
1146	C₄×D₅₃	—	4	4	no	—
1147	C₄×D₅₃	—	4	4	no	—
1148	C₄×D₅₃	—	4	4	no	—
1149	C₄×D₅₃	—	4	4	no	—
1150	C₄×D₅₃	—	4	4	no	—
1151	C₄×D₅₃	—	4	4	no	—
1152	C₄×D₅₃	—	4	4	no	—
1153	C₄×D₅₃	—	4	2	no	—
1154	C₄×D₅₃	—	4	4	no	—
1155	C₄×D₅₃	—	4	2	no	—
1156	C₄×D₅₃	H(5,𝔽₂)	1	4	yes	—
1157	Dic₁₀₆	—	2	4	no	—
1158	Dic₁₀₆	—	2	8	no	—
1159	Dic₁₀₆	—	2	4	no	—
1160	Dic₁₀₆	—	4	2	no	—
1161	Dic₁₀₆	—	4	4	no	—
1162	Dic₁₀₆	—	4	2	no	—
1163	Dic₁₀₆	—	4	4	no	—
1164	Dic₁₀₆	—	4	2	no	—
1165	Dic₁₀₆	—	4	1	no	—
1166	#62824	—	53	1	no	maximal, Sylow
1167	C₂²×C₅₃	—	2	1	no	—
1168	C₂²×C₅₃	—	2	1	no	—
1169	C₂²×C₅₃	—	2	2	no	—
1170	C₂²×C₅₃	—	2	4	no	—
1171	C₂²×C₅₃	—	2	2	no	—
1172	C₂²×C₅₃	—	2	2	no	—
1173	C₂²×C₅₃	—	2	4	no	—
1174	C₂²×C₅₃	—	2	4	no	—
1175	C₂²×C₅₃	—	8	4	no	—
1176	C₂²×C₅₃	#585	1	2	yes	—
1177	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1178	C₂×D₅₃	—	2	8	no	—
1179	C₂×D₅₃	—	2	1	no	—
1180	C₂×D₅₃	—	2	1	no	—
1181	C₂×D₅₃	—	2	1	no	—
1182	C₂×D₅₃	—	2	1	no	—
1183	C₂×D₅₃	—	2	4	no	—
1184	C₂×D₅₃	—	2	2	no	—
1185	C₂×D₅₃	—	2	4	no	—
1186	C₂×D₅₃	—	2	2	no	—
1187	C₂×D₅₃	—	2	4	no	—
1188	C₂×D₅₃	—	2	4	no	—
1189	C₂×D₅₃	—	2	4	no	—
1190	C₂×D₅₃	—	2	4	no	—
1191	C₂×D₅₃	—	2	2	no	—
1192	C₂×D₅₃	—	8	8	no	—
1193	C₂×D₅₃	—	8	8	no	—
1194	C₂×D₅₃	—	8	4	no	—
1195	C₂×D₅₃	—	16	4	no	—
1196	C₂×D₅₃	—	16	4	no	—
1197	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1198	C₂×D₅₃	#585	1	2	yes	—
1199	C₄×C₅₃	—	2	4	no	—
1200	C₄×C₅₃	—	2	2	no	—
1201	C₄×C₅₃	—	2	1	no	—
1202	C₄×C₅₃	—	2	4	no	—
1203	C₄×C₅₃	—	2	1	no	—
1204	C₄×C₅₃	—	2	1	no	—
1205	C₄×C₅₃	—	2	2	no	—
1206	C₄×C₅₃	—	2	1	no	—
1207	C₄×C₅₃	—	2	1	no	—
1208	C₄×C₅₃	—	2	4	no	—
1209	C₄×C₅₃	—	2	2	no	—
1210	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1211	Dic₅₃	—	2	4	no	—
1212	Dic₅₃	—	2	2	no	—
1213	Dic₅₃	—	2	1	no	—
1214	Dic₅₃	—	2	1	no	—
1215	Dic₅₃	—	2	2	no	—
1216	Dic₅₃	—	2	4	no	—
1217	Dic₅₃	—	2	2	no	—
1218	Dic₅₃	—	2	1	no	—
1219	Dic₅₃	—	2	1	no	—
1220	Dic₅₃	—	2	1	no	—
1221	Dic₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1222	#3561	—	53	2	no	—
1223	#3561	—	53	2	no	—
1224	#3561	—	53	2	no	—
1225	#3561	—	53	1	no	—
1226	#3561	D₅₃	1	1	yes	characteristic, complemented
1227	#3558	—	53	2	no	—
1228	#3558	—	53	2	no	—
1229	#3558	—	53	2	no	—
1230	#3558	—	53	1	no	—
1231	#3558	—	53	1	no	—
1232	#3545	—	53	2	no	—
1233	#3545	—	53	2	no	—
1234	#3545	—	53	4	no	—
1235	#3514	—	53	2	no	—
1236	#3514	—	53	4	no	—
1237	#3514	—	53	2	no	—
1238	#3514	—	53	2	no	—
1239	#3514	—	53	2	no	—
1240	#3514	—	53	4	no	—
1241	#3510	—	53	2	no	—
1242	#3510	—	53	2	no	—
1243	#3500	—	53	2	no	—
1244	#3500	—	53	2	no	—
1245	#3490	—	53	4	no	—
1246	#3490	—	53	2	no	—
1247	#3490	—	53	2	no	—
1248	#3486	—	53	2	no	—
1249	#3484	—	53	2	no	—
1250	#3444	—	53	1	no	—
1251	#3444	—	53	1	no	—
1252	C₂²×#124	—	53	1	no	—
1253	C₂×C₅₃	—	2	2	no	—
1254	C₂×C₅₃	—	4	4	no	—
1255	C₂×C₅₃	—	4	2	no	—
1256	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1257	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1258	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1259	D₅₃	—	2	2	no	—
1260	D₅₃	—	2	2	no	—
1261	D₅₃	—	4	4	no	—
1262	D₅₃	—	4	4	no	—
1263	D₅₃	—	4	2	no	—
1264	C₂×2₋¹⁺⁴	—	53	2	no	—
1265	C₂×H(5,𝔽₂)	—	53	2	no	—
1266	C₂³×Q₈	—	53	1	no	—
1267	C₂³×D₄	—	53	1	no	—
1268	#563	—	53	2	no	—
1269	#563	—	53	4	no	—
1270	#563	C₂×D₅₃	1	2	yes	complemented
1271	#562	—	53	2	no	—
1272	#562	—	53	2	no	—
1273	#562	—	53	2	no	—
1274	#562	—	53	4	no	—
1275	#562	—	53	4	no	—
1276	#562	C₂×D₅₃	1	2	yes	complemented
1277	H(3,𝔽₄)	—	53	2	no	—
1278	H(3,𝔽₄)	—	53	2	no	—
1279	H(3,𝔽₄)	—	53	4	no	—
1280	#559	—	53	2	no	—
1281	#559	—	53	4	no	—
1282	#559	—	53	4	no	—
1283	#559	—	53	2	no	—
1284	#559	—	53	2	no	—
1285	#559	—	53	2	no	—
1286	#556	—	53	2	no	—
1287	#556	—	53	4	no	—
1288	#556	—	53	2	no	—
1289	#556	—	53	4	no	—
1290	#556	—	53	2	no	—
1291	#556	C₂×D₅₃	1	2	yes	complemented
1292	#555	—	53	4	no	—
1293	#555	—	53	4	no	—
1294	#555	—	53	4	no	—
1295	#555	—	53	4	no	—
1296	#551	—	53	4	no	—
1297	#551	—	53	4	no	—
1298	#551	—	53	4	no	—
1299	#551	—	53	4	no	—
1300	#551	—	53	4	no	—
1301	#551	—	53	4	no	—
1302	#551	—	53	4	no	—
1303	#551	—	53	4	no	—
1304	#551	—	53	4	no	—
1305	#551	—	53	4	no	—
1306	#551	—	53	4	no	—
1307	#551	—	53	4	no	—
1308	#551	—	53	4	no	—
1309	#551	—	53	4	no	—
1310	#551	—	53	4	no	—
1311	#551	—	53	4	no	—
1312	#551	—	53	4	no	—
1313	#551	—	53	4	no	—
1314	#551	—	53	4	no	—
1315	#551	C₂×D₅₃	1	4	yes	complemented
1316	D₄×Q₈	—	53	2	no	—
1317	D₄×Q₈	—	53	4	no	—
1318	D₄×Q₈	—	53	2	no	—
1319	D₄×Q₈	—	53	2	no	—
1320	D₄×Q₈	—	53	4	no	—
1321	D₄×Q₈	C₂×D₅₃	1	2	yes	complemented
1322	#548	—	53	2	no	—
1323	#548	—	53	2	no	—
1324	#548	—	53	2	no	—
1325	#548	—	53	2	no	—
1326	#548	—	53	4	no	—
1327	#548	—	53	4	no	—
1328	#548	—	53	4	no	—
1329	#548	—	53	2	no	—
1330	#548	—	53	2	no	—
1331	#548	—	53	4	no	—
1332	#548	—	53	2	no	—
1333	#548	C₂×D₅₃	1	2	yes	complemented
1334	#546	—	53	2	no	—
1335	#546	—	53	2	no	—
1336	#546	—	53	2	no	—
1337	#546	—	53	4	no	—
1338	#546	—	53	4	no	—
1339	#546	—	53	4	no	—
1340	#546	—	53	4	no	—
1341	#546	—	53	4	no	—
1342	#546	—	53	4	no	—
1343	#546	—	53	4	no	—
1344	#546	—	53	4	no	—
1345	#546	—	53	2	no	—
1346	#546	—	53	4	no	—
1347	#546	—	53	4	no	—
1348	#546	—	53	4	no	—
1349	#546	—	53	4	no	—
1350	#546	—	53	4	no	—
1351	#546	—	53	2	no	—
1352	#546	—	53	2	no	—
1353	#546	—	53	4	no	—
1354	#546	—	53	4	no	—
1355	#546	—	53	4	no	—
1356	#546	—	53	4	no	—
1357	#546	—	53	4	no	—
1358	#546	—	53	2	no	—
1359	#546	—	53	4	no	—
1360	#546	—	53	4	no	—
1361	#546	C₂×D₅₃	1	2	yes	complemented
1362	D₄²	—	53	2	no	—
1363	D₄²	—	53	2	no	—
1364	D₄²	—	53	4	no	—
1365	D₄²	—	53	4	no	—
1366	D₄²	—	53	2	no	—
1367	D₄²	—	53	2	no	—
1368	#543	—	53	2	no	—
1369	#543	—	53	4	no	—
1370	#543	C₂×D₅₃	1	2	yes	complemented
1371	#542	—	53	2	no	—
1372	#542	—	53	4	no	—
1373	#542	—	53	4	no	—
1374	#542	—	53	2	no	—
1375	#542	—	53	4	no	—
1376	#542	—	53	4	no	—
1377	#542	—	53	4	no	—
1378	#542	—	53	4	no	—
1379	#542	—	53	4	no	—
1380	#542	—	53	4	no	—
1381	#542	—	53	4	no	—
1382	#542	—	53	2	no	—
1383	#542	C₂×D₅₃	1	2	yes	complemented
1384	#542	C₂×D₅₃	1	4	yes	complemented
1385	#538	—	53	4	no	—
1386	#538	—	53	4	no	—
1387	#538	—	53	4	no	—
1388	#538	—	53	4	no	—
1389	#538	—	53	4	no	—
1390	#538	—	53	4	no	—
1391	#538	—	53	4	no	—
1392	#538	—	53	4	no	—
1393	#538	—	53	4	no	—
1394	#538	—	53	4	no	—
1395	#538	—	53	2	no	—
1396	#538	—	53	2	no	—
1397	#538	—	53	4	no	—
1398	#538	—	53	4	no	—
1399	#538	—	53	4	no	—
1400	#538	—	53	4	no	—
1401	#538	—	53	2	no	—
1402	#538	C₂×D₅₃	1	2	yes	complemented
1403	#536	—	53	2	no	—
1404	#536	—	53	4	no	—
1405	#536	—	53	2	no	—
1406	#536	—	53	2	no	—
1407	#536	—	53	4	no	—
1408	#536	—	53	4	no	—
1409	#536	C₂×D₅₃	1	2	yes	complemented
1410	#535	—	53	2	no	—
1411	#535	—	53	2	no	—
1412	#535	—	53	2	no	—
1413	#535	—	53	4	no	—
1414	#535	—	53	2	no	—
1415	#534	—	53	4	no	—
1416	#534	—	53	4	no	—
1417	#534	—	53	4	no	—
1418	#534	—	53	2	no	—
1419	#534	—	53	2	no	—
1420	#533	—	53	1	no	—
1421	#533	—	53	1	no	—
1422	#533	—	53	1	no	—
1423	#533	—	53	1	no	—
1424	#533	—	53	1	no	—
1425	#533	C₂×D₅₃	1	1	yes	characteristic, complemented
1426	#532	—	53	2	no	—
1427	#532	—	53	1	no	—
1428	#532	—	53	1	no	—
1429	#532	—	53	2	no	—
1430	#532	—	53	1	no	—
1431	#532	—	53	1	no	—
1432	#532	—	53	1	no	—
1433	#532	—	53	4	no	—
1434	#532	—	53	1	no	—
1435	#529	—	53	2	no	—
1436	#529	—	53	2	no	—
1437	#529	—	53	4	no	—
1438	#529	—	53	2	no	—
1439	#529	—	53	1	no	—
1440	#529	—	53	2	no	—
1441	#529	—	53	1	no	—
1442	#529	—	53	2	no	—
1443	#529	—	53	2	no	—
1444	#529	—	53	2	no	—
1445	#529	—	53	2	no	—
1446	#529	—	53	2	no	—
1447	#529	—	53	2	no	—
1448	#529	—	53	2	no	—
1449	#529	—	53	2	no	—
1450	#529	—	53	2	no	—
1451	#529	—	53	2	no	—
1452	#529	—	53	4	no	—
1453	#529	—	53	1	no	—
1454	#529	C₂×D₅₃	1	1	yes	characteristic, complemented
1455	C₂×#124	—	53	1	no	—
1456	C₂×#124	—	53	2	no	—
1457	C₂×#124	—	53	1	no	—
1458	C₂×#124	—	53	2	no	—
1459	C₂×#124	—	53	2	no	—
1460	C₂×#124	—	53	2	no	—
1461	C₂×#124	—	53	2	no	—
1462	C₂×#124	—	53	2	no	—
1463	C₂×#124	—	53	2	no	—
1464	C₂×#124	—	53	2	no	—
1465	C₂×#124	—	53	2	no	—
1466	C₂×#124	—	53	2	no	—
1467	C₂×#124	—	53	4	no	—
1468	C₂×#124	—	53	2	no	—
1469	C₂×#124	—	53	2	no	—
1470	C₂×#124	—	53	1	no	—
1471	C₂×#124	C₂×D₅₃	1	1	yes	characteristic, complemented
1472	#525	—	53	2	no	—
1473	#525	—	53	2	no	—
1474	#525	—	53	2	no	—
1475	#525	—	53	1	no	—
1476	#525	—	53	4	no	—
1477	#525	—	53	1	no	—
1478	#525	—	53	2	no	—
1479	#525	—	53	4	no	—
1480	#525	—	53	2	no	—
1481	C₂×#120	—	53	4	no	—
1482	C₂×#120	—	53	4	no	—
1483	#519	—	53	2	no	—
1484	#518	—	53	2	no	—
1485	#518	—	53	4	no	—
1486	#518	—	53	4	no	—
1487	#518	—	53	4	no	—
1488	#518	—	53	4	no	—
1489	C₄×#41	—	53	2	no	—
1490	C₄×#41	—	53	1	no	—
1491	C₄×#41	—	53	2	no	—
1492	C₄×#41	—	53	2	no	—
1493	C₄×#41	—	53	1	no	—
1494	C₄×#41	—	53	2	no	—
1495	C₄×#41	—	53	2	no	—
1496	C₂²×C₂²⋊C₄	—	53	2	no	—
1497	C₂²×C₂²⋊C₄	—	53	2	no	—
1498	C₂²×C₄²	—	53	1	no	—
1499	C₅₃	#62824	1	1	yes	characteristic, complemented, Sylow
1500	C₂⁵	—	53	2	no	—
1501	2₋¹⁺⁴	—	212	8	no	—
1502	H(5,𝔽₂)	—	212	8	no	—
1503	C₂×#41	—	53	2	no	—
1504	C₂×#41	—	53	2	no	—
1505	C₂×#41	—	53	1	no	—
1506	C₂×#41	—	53	4	no	—
1507	C₂×#41	—	53	2	no	—
1508	C₂×#41	—	53	2	no	—
1509	C₂×#41	—	53	2	no	—
1510	C₂×#41	—	53	1	no	—
1511	C₂×#41	—	53	2	no	—
1512	C₂×#41	—	53	2	no	—
1513	C₂×#41	—	53	4	no	—
1514	C₂×#41	—	53	4	no	—
1515	C₂×#41	—	53	2	no	—
1516	C₂×#41	—	53	4	no	—
1517	C₂×#41	C₂²×D₅₃	1	2	yes	—
1518	C₂²×Q₈	—	53	2	no	—
1519	C₂²×Q₈	—	53	2	no	—
1520	C₂²×Q₈	—	53	2	no	—
1521	C₂²×Q₈	—	53	2	no	—
1522	C₂²×Q₈	—	53	4	no	—
1523	C₂²×Q₈	—	53	2	no	—
1524	C₂²×Q₈	—	53	2	no	—
1525	C₂²×Q₈	—	53	1	no	—
1526	C₂²×Q₈	—	212	4	no	—
1527	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1528	C₂²×Q₈	C₂²×D₅₃	1	2	yes	complemented
1529	C₂²×D₄	—	53	4	no	—
1530	C₂²×D₄	—	53	2	no	—
1531	C₂²×D₄	—	53	2	no	—
1532	C₂²×D₄	—	53	4	no	—
1533	C₂²×D₄	—	53	4	no	—
1534	C₂²×D₄	—	53	4	no	—
1535	C₂²×D₄	—	53	2	no	—
1536	C₂²×D₄	—	53	2	no	—
1537	C₂²×D₄	—	53	2	no	—
1538	C₂²×D₄	—	53	4	no	—
1539	C₂²×D₄	—	53	2	no	—
1540	C₂²×D₄	—	53	4	no	—
1541	C₂²×D₄	—	53	4	no	—
1542	C₂²×D₄	—	53	1	no	—
1543	C₂²×D₄	—	53	2	no	—
1544	C₂²×D₄	—	212	4	no	—
1545	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1546	C₂³×C₄	—	53	1	no	—
1547	C₂³×C₄	—	53	2	no	—
1548	C₂³×C₄	—	53	1	no	—
1549	C₂³×C₄	—	53	1	no	—
1550	C₄⋊Q₈	—	53	1	no	—
1551	C₄⋊Q₈	—	53	2	no	—
1552	C₄⋊Q₈	—	53	4	no	—
1553	C₄⋊Q₈	—	53	1	no	—
1554	C₄⋊Q₈	—	53	1	no	—
1555	C₄⋊Q₈	—	53	4	no	—
1556	C₄⋊Q₈	—	53	4	no	—
1557	C₄⋊Q₈	—	53	4	no	—
1558	C₄⋊Q₈	—	53	1	no	—
1559	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1560	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1561	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1562	C₄⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1563	#127	—	53	1	no	—
1564	#127	—	53	4	no	—
1565	#127	—	53	2	no	—
1566	#127	—	53	1	no	—
1567	#127	—	53	2	no	—
1568	#126	—	53	4	no	—
1569	#126	—	53	4	no	—
1570	#126	—	53	2	no	—
1571	#126	—	53	4	no	—
1572	#126	—	53	4	no	—
1573	#126	—	53	4	no	—
1574	#126	—	53	4	no	—
1575	#126	—	53	4	no	—
1576	#126	—	53	4	no	—
1577	#126	—	53	4	no	—
1578	#126	—	53	2	no	—
1579	#126	—	53	4	no	—
1580	#126	—	53	4	no	—
1581	#126	—	53	4	no	—
1582	#126	—	53	4	no	—
1583	#126	—	53	4	no	—
1584	#126	—	53	2	no	—
1585	#126	—	53	4	no	—
1586	#126	C₂²×D₅₃	1	2	yes	complemented
1587	#126	C₂²×D₅₃	1	4	yes	complemented
1588	#126	C₂²×D₅₃	1	4	yes	complemented
1589	#126	C₂²×D₅₃	1	4	yes	complemented
1590	#125	—	53	2	no	—
1591	#125	—	53	2	no	—
1592	#125	—	53	2	no	—
1593	#125	—	53	2	no	—
1594	#125	—	53	1	no	—
1595	#125	C₂²×D₅₃	1	2	yes	complemented
1596	#125	C₂²×D₅₃	1	1	yes	characteristic, complemented
1597	#124	—	53	2	no	—
1598	#124	—	53	2	no	—
1599	#124	—	53	2	no	—
1600	#124	—	53	2	no	—
1601	#124	—	53	2	no	—
1602	#124	—	53	2	no	—
1603	#124	—	53	2	no	—
1604	#124	—	53	4	no	—
1605	#124	—	53	4	no	—
1606	#124	—	53	4	no	—
1607	#124	—	53	2	no	—
1608	#124	—	53	4	no	—
1609	#124	—	53	4	no	—
1610	#124	—	53	4	no	—
1611	#124	—	53	2	no	—
1612	#124	—	53	2	no	—
1613	#124	—	53	2	no	—
1614	#124	—	53	2	no	—
1615	#124	—	53	4	no	—
1616	#124	—	53	4	no	—
1617	#124	—	53	4	no	—
1618	#124	—	53	4	no	—
1619	#124	—	53	4	no	—
1620	#124	—	53	4	no	—
1621	#124	—	53	4	no	—
1622	#124	—	53	4	no	—
1623	#124	—	53	4	no	—
1624	#124	—	53	2	no	—
1625	#124	—	53	4	no	—
1626	#124	—	53	4	no	—
1627	#124	—	53	4	no	—
1628	#124	—	53	4	no	—
1629	#124	—	53	2	no	—
1630	#124	—	53	4	no	—
1631	#124	—	53	4	no	—
1632	#124	—	53	4	no	—
1633	#124	—	53	4	no	—
1634	#124	—	53	4	no	—
1635	#124	—	53	4	no	—
1636	#124	—	53	2	no	—
1637	#124	—	53	2	no	—
1638	#124	—	53	2	no	—
1639	#124	—	53	2	no	—
1640	#124	—	53	2	no	—
1641	#124	—	53	4	no	—
1642	#124	—	53	2	no	—
1643	#124	—	53	1	no	—
1644	#124	—	53	4	no	—
1645	#124	—	53	4	no	—
1646	#124	C₂²×D₅₃	1	2	yes	—
1647	#124	C₂²×D₅₃	1	2	yes	—
1648	#124	C₂²×D₅₃	1	2	yes	—
1649	#124	C₂²×D₅₃	1	2	yes	—
1650	#124	C₂²×D₅₃	1	2	yes	—
1651	#124	C₂²×D₅₃	1	4	yes	complemented
1652	#124	C₂²×D₅₃	1	1	yes	characteristic, complemented
1653	#124	C₂²×D₅₃	1	4	yes	complemented
1654	#123	—	53	4	no	—
1655	#123	—	53	2	no	—
1656	#123	—	53	4	no	—
1657	#123	—	53	4	no	—
1658	#123	—	53	4	no	—
1659	#123	—	53	2	no	—
1660	#123	—	53	4	no	—
1661	#123	—	53	2	no	—
1662	#123	—	53	4	no	—
1663	#123	—	53	4	no	—
1664	#123	—	53	4	no	—
1665	#123	—	53	4	no	—
1666	#123	—	53	4	no	—
1667	#123	—	53	4	no	—
1668	#123	—	53	4	no	—
1669	#123	—	53	4	no	—
1670	#123	—	53	4	no	—
1671	#123	—	53	4	no	—
1672	#123	—	53	4	no	—
1673	#123	—	53	4	no	—
1674	#123	—	53	4	no	—
1675	#123	—	53	4	no	—
1676	#123	—	53	2	no	—
1677	#123	—	53	2	no	—
1678	#123	—	53	4	no	—
1679	#123	—	53	4	no	—
1680	#123	—	53	4	no	—
1681	#123	—	53	4	no	—
1682	#123	—	53	4	no	—
1683	#123	—	53	4	no	—
1684	#123	—	53	4	no	—
1685	#123	—	53	4	no	—
1686	#123	—	53	4	no	—
1687	#123	—	53	4	no	—
1688	#123	—	53	4	no	—
1689	#123	—	53	4	no	—
1690	#123	C₂²×D₅₃	1	2	yes	—
1691	#123	C₂²×D₅₃	1	4	yes	—
1692	#123	C₂²×D₅₃	1	4	yes	complemented
1693	#123	C₂²×D₅₃	1	4	yes	complemented
1694	#123	C₂²×D₅₃	1	4	yes	complemented
1695	C₂²⋊Q₈	—	53	2	no	—
1696	C₂²⋊Q₈	—	53	2	no	—
1697	C₂²⋊Q₈	—	53	1	no	—
1698	C₂²⋊Q₈	—	53	4	no	—
1699	C₂²⋊Q₈	—	53	2	no	—
1700	C₂²⋊Q₈	—	53	4	no	—
1701	C₂²⋊Q₈	—	53	4	no	—
1702	C₂²⋊Q₈	—	53	4	no	—
1703	C₂²⋊Q₈	—	53	1	no	—
1704	C₂²⋊Q₈	—	53	2	no	—
1705	C₂²⋊Q₈	—	53	4	no	—
1706	C₂²⋊Q₈	—	53	4	no	—
1707	C₂²⋊Q₈	—	53	2	no	—
1708	C₂²⋊Q₈	—	53	2	no	—
1709	C₂²⋊Q₈	—	53	2	no	—
1710	C₂²⋊Q₈	—	53	2	no	—
1711	C₂²⋊Q₈	—	53	1	no	—
1712	C₂²⋊Q₈	—	53	2	no	—
1713	C₂²⋊Q₈	—	53	4	no	—
1714	C₂²⋊Q₈	—	53	4	no	—
1715	C₂²⋊Q₈	—	53	4	no	—
1716	C₂²⋊Q₈	—	53	2	no	—
1717	C₂²⋊Q₈	—	53	4	no	—
1718	C₂²⋊Q₈	—	53	4	no	—
1719	C₂²⋊Q₈	—	53	4	no	—
1720	C₂²⋊Q₈	—	53	4	no	—
1721	C₂²⋊Q₈	—	53	4	no	—
1722	C₂²⋊Q₈	—	53	4	no	—
1723	C₂²⋊Q₈	—	53	4	no	—
1724	C₂²⋊Q₈	—	53	4	no	—
1725	C₂²⋊Q₈	—	53	4	no	—
1726	C₂²⋊Q₈	—	53	4	no	—
1727	C₂²⋊Q₈	—	53	4	no	—
1728	C₂²⋊Q₈	—	53	2	no	—
1729	C₂²⋊Q₈	—	53	4	no	—
1730	C₂²⋊Q₈	—	53	4	no	—
1731	C₂²⋊Q₈	—	53	4	no	—
1732	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1733	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1734	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1735	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
1736	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1737	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1738	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1739	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1740	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1741	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1742	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1743	#121	—	53	2	no	—
1744	#121	—	53	1	no	—
1745	#121	—	53	4	no	—
1746	#121	—	53	2	no	—
1747	#121	—	53	4	no	—
1748	#121	—	53	4	no	—
1749	#121	—	53	4	no	—
1750	#121	—	53	4	no	—
1751	#121	—	53	4	no	—
1752	#121	—	53	4	no	—
1753	#121	—	53	2	no	—
1754	#121	—	53	1	no	—
1755	#121	—	53	2	no	—
1756	#121	—	53	4	no	—
1757	#121	—	53	2	no	—
1758	#121	—	53	4	no	—
1759	#121	—	53	4	no	—
1760	#121	—	53	2	no	—
1761	#121	—	53	2	no	—
1762	#121	—	53	2	no	—
1763	#121	—	53	1	no	—
1764	#121	—	53	2	no	—
1765	#121	—	53	4	no	—
1766	#121	—	53	2	no	—
1767	#121	—	53	4	no	—
1768	#121	—	53	4	no	—
1769	#121	—	53	4	no	—
1770	#121	—	53	4	no	—
1771	#121	—	53	4	no	—
1772	#121	—	53	4	no	—
1773	#121	—	53	4	no	—
1774	#121	—	53	4	no	—
1775	#121	—	53	2	no	—
1776	#121	—	53	2	no	—
1777	#121	—	53	2	no	—
1778	#121	—	53	4	no	—
1779	#121	—	53	4	no	—
1780	#121	—	53	4	no	—
1781	#121	—	53	4	no	—
1782	#121	—	53	4	no	—
1783	#121	—	53	4	no	—
1784	#121	—	53	4	no	—
1785	#121	—	53	4	no	—
1786	#121	—	53	4	no	—
1787	#121	C₂²×D₅₃	1	1	yes	characteristic
1788	#121	C₂²×D₅₃	1	2	yes	—
1789	#121	C₂²×D₅₃	1	4	yes	—
1790	#121	C₂²×D₅₃	1	4	yes	complemented
1791	#120	—	53	4	no	—
1792	#120	—	53	2	no	—
1793	#120	—	53	4	no	—
1794	#120	—	53	4	no	—
1795	#120	—	53	4	no	—
1796	#120	—	53	4	no	—
1797	#120	—	53	4	no	—
1798	#120	—	53	4	no	—
1799	#120	—	53	4	no	—
1800	#120	—	53	2	no	—
1801	#120	—	53	4	no	—
1802	#120	—	53	4	no	—
1803	#120	—	53	4	no	—
1804	#120	—	53	4	no	—
1805	#120	—	53	4	no	—
1806	#120	—	53	4	no	—
1807	#120	—	53	4	no	—
1808	#120	—	53	4	no	—
1809	#120	—	53	4	no	—
1810	#120	—	53	4	no	—
1811	#120	—	53	4	no	—
1812	#120	—	53	4	no	—
1813	#120	—	53	4	no	—
1814	#120	—	53	4	no	—
1815	#120	—	53	4	no	—
1816	#120	—	53	4	no	—
1817	#120	C₂²×D₅₃	1	4	yes	—
1818	C₄×Q₈	—	53	1	no	—
1819	C₄×Q₈	—	53	2	no	—
1820	C₄×Q₈	—	53	2	no	—
1821	C₄×Q₈	—	53	2	no	—
1822	C₄×Q₈	—	53	1	no	—
1823	C₄×Q₈	—	53	2	no	—
1824	C₄×Q₈	—	53	2	no	—
1825	C₄×Q₈	—	53	2	no	—
1826	C₄×Q₈	—	53	2	no	—
1827	C₄×Q₈	—	53	2	no	—
1828	C₄×Q₈	—	53	4	no	—
1829	C₄×Q₈	—	53	2	no	—
1830	C₄×Q₈	—	53	2	no	—
1831	C₄×Q₈	—	53	1	no	—
1832	C₄×Q₈	—	53	4	no	—
1833	C₄×Q₈	—	53	2	no	—
1834	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1835	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1836	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1837	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1838	C₄×D₄	—	53	2	no	—
1839	C₄×D₄	—	53	1	no	—
1840	C₄×D₄	—	53	4	no	—
1841	C₄×D₄	—	53	2	no	—
1842	C₄×D₄	—	53	2	no	—
1843	C₄×D₄	—	53	2	no	—
1844	C₄×D₄	—	53	2	no	—
1845	C₄×D₄	—	53	4	no	—
1846	C₄×D₄	—	53	4	no	—
1847	C₄×D₄	—	53	4	no	—
1848	C₄×D₄	—	53	4	no	—
1849	C₄×D₄	—	53	4	no	—
1850	C₄×D₄	—	53	4	no	—
1851	C₄×D₄	—	53	4	no	—
1852	C₄×D₄	—	53	4	no	—
1853	C₄×D₄	—	53	4	no	—
1854	C₄×D₄	—	53	2	no	—
1855	C₄×D₄	—	53	4	no	—
1856	C₄×D₄	—	53	4	no	—
1857	C₄×D₄	—	53	2	no	—
1858	C₄×D₄	—	53	2	no	—
1859	C₄×D₄	—	53	1	no	—
1860	C₄×D₄	—	53	2	no	—
1861	C₄×D₄	—	53	2	no	—
1862	C₄×D₄	—	53	2	no	—
1863	C₄×D₄	—	53	2	no	—
1864	C₄×D₄	—	53	4	no	—
1865	C₄×D₄	—	53	4	no	—
1866	C₄×D₄	—	53	4	no	—
1867	C₄×D₄	—	53	2	no	—
1868	C₄×D₄	—	53	4	no	—
1869	C₄×D₄	—	53	4	no	—
1870	C₄×D₄	—	53	2	no	—
1871	C₄×D₄	—	53	4	no	—
1872	C₄×D₄	—	53	2	no	—
1873	C₄×D₄	—	53	4	no	—
1874	C₄×D₄	—	53	2	no	—
1875	C₄×D₄	—	53	2	no	—
1876	C₄×D₄	—	53	2	no	—
1877	C₄×D₄	—	53	2	no	—
1878	C₄×D₄	—	53	2	no	—
1879	C₄×D₄	—	53	4	no	—
1880	C₄×D₄	—	53	4	no	—
1881	C₄×D₄	—	53	4	no	—
1882	C₄×D₄	—	53	4	no	—
1883	C₄×D₄	—	53	4	no	—
1884	C₄×D₄	—	53	4	no	—
1885	C₄×D₄	—	53	2	no	—
1886	C₄×D₄	—	53	4	no	—
1887	C₄×D₄	—	53	2	no	—
1888	C₄×D₄	—	53	1	no	—
1889	C₄×D₄	—	53	2	no	—
1890	C₄×D₄	—	53	4	no	—
1891	C₄×D₄	—	53	4	no	—
1892	C₄×D₄	—	53	4	no	—
1893	C₄×D₄	—	53	2	no	—
1894	C₄×D₄	—	53	4	no	—
1895	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1896	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1897	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1898	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1899	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1900	#117	—	53	4	no	—
1901	#117	—	53	2	no	—
1902	#117	—	53	1	no	—
1903	#117	—	53	2	no	—
1904	#117	—	53	1	no	—
1905	#117	—	53	4	no	—
1906	#117	—	53	4	no	—
1907	#117	—	53	2	no	—
1908	#117	—	53	2	no	—
1909	#117	—	53	4	no	—
1910	#117	—	53	4	no	—
1911	#117	—	53	4	no	—
1912	#117	—	53	2	no	—
1913	#117	—	53	2	no	—
1914	#117	—	53	2	no	—
1915	#117	—	53	4	no	—
1916	#117	—	53	4	no	—
1917	#117	—	53	2	no	—
1918	#117	—	53	2	no	—
1919	#117	—	53	4	no	—
1920	#117	—	53	4	no	—
1921	#117	—	53	4	no	—
1922	#117	—	53	4	no	—
1923	#117	C₂²×D₅₃	1	2	yes	—
1924	#117	C₂²×D₅₃	1	2	yes	complemented
1925	#117	C₂²×D₅₃	1	4	yes	complemented
1926	C₂×C₂²⋊C₄	—	53	2	no	—
1927	C₂×C₂²⋊C₄	—	53	2	no	—
1928	C₂×C₂²⋊C₄	—	53	2	no	—
1929	C₂×C₂²⋊C₄	—	53	2	no	—
1930	C₂×C₂²⋊C₄	—	53	2	no	—
1931	C₂×C₂²⋊C₄	—	53	2	no	—
1932	C₂×C₂²⋊C₄	—	53	4	no	—
1933	C₂×C₂²⋊C₄	—	53	4	no	—
1934	C₂×C₂²⋊C₄	—	53	4	no	—
1935	C₂×C₂²⋊C₄	—	53	4	no	—
1936	C₂×C₂²⋊C₄	—	53	4	no	—
1937	C₂×C₂²⋊C₄	—	53	4	no	—
1938	C₂×C₂²⋊C₄	—	53	4	no	—
1939	C₂×C₂²⋊C₄	—	53	4	no	—
1940	C₂×C₂²⋊C₄	—	53	4	no	—
1941	C₂×C₂²⋊C₄	—	53	4	no	—
1942	C₂×C₂²⋊C₄	—	53	4	no	—
1943	C₂×C₂²⋊C₄	—	53	4	no	—
1944	C₂×C₂²⋊C₄	—	53	4	no	—
1945	C₂×C₂²⋊C₄	—	53	4	no	—
1946	C₂×C₂²⋊C₄	—	53	4	no	—
1947	C₂×C₂²⋊C₄	—	53	4	no	—
1948	C₂×C₂²⋊C₄	—	53	4	no	—
1949	C₂×C₂²⋊C₄	—	53	4	no	—
1950	C₂×C₂²⋊C₄	—	53	4	no	—
1951	C₂×C₂²⋊C₄	—	53	4	no	—
1952	C₂×C₂²⋊C₄	—	53	4	no	—
1953	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1954	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1955	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	—
1956	C₂×C₄²	—	53	2	no	—
1957	C₂×C₄²	—	53	1	no	—
1958	C₂×C₄²	—	53	1	no	—
1959	C₂×C₄²	—	53	1	no	—
1960	C₂×C₄²	—	53	2	no	—
1961	C₂×C₄²	—	53	4	no	—
1962	C₂×C₄²	—	53	1	no	—
1963	C₂×C₄²	—	53	1	no	—
1964	C₂×C₄²	—	53	1	no	—
1965	C₂×C₄²	—	53	1	no	—
1966	C₂×C₄²	—	53	1	no	—
1967	C₂×C₄²	—	53	1	no	—
1968	C₂×C₄²	—	53	1	no	—
1969	C₂×C₄²	—	53	1	no	—
1970	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1971	C₂⁴	—	53	1	no	—
1972	C₂⁴	—	53	4	no	—
1973	C₂⁴	—	53	4	no	—
1974	C₂⁴	—	53	2	no	—
1975	C₂⁴	—	53	4	no	—
1976	C₂⁴	—	53	4	no	—
1977	C₂⁴	—	212	4	no	—
1978	C₂⁴	—	212	4	no	—
1979	C₂⁴	—	212	4	no	—
1980	C₂⁴	C₂³×D₅₃	1	2	yes	—
1981	#41	—	4	4	no	—
1982	#41	—	106	8	no	—
1983	#41	—	106	8	no	—
1984	#41	—	212	4	no	—
1985	#41	—	212	4	no	—
1986	#41	—	212	8	no	—
1987	#41	—	212	8	no	—
1988	#41	—	212	8	no	—
1989	#41	—	212	4	no	—
1990	#41	—	212	2	no	—
1991	#41	—	212	2	no	—
1992	#41	—	212	4	no	—
1993	#41	—	212	8	no	—
1994	#41	—	212	4	no	—
1995	#41	—	212	4	no	—
1996	C₂×Q₈	—	4	2	no	—
1997	C₂×Q₈	—	4	4	no	—
1998	C₂×Q₈	—	53	4	no	—
1999	C₂×Q₈	—	53	2	no	—
2000	C₂×Q₈	—	53	2	no	—
2001	C₂×Q₈	—	53	2	no	—
2002	C₂×Q₈	—	53	1	no	—
2003	C₂×Q₈	—	53	2	no	—
2004	C₂×Q₈	—	53	4	no	—
2005	C₂×Q₈	—	53	4	no	—
2006	C₂×Q₈	—	53	2	no	—
2007	C₂×Q₈	—	106	8	no	—
2008	C₂×Q₈	—	212	2	no	—
2009	C₂×Q₈	—	212	4	no	—
2010	C₂×Q₈	—	212	4	no	—
2011	C₂×Q₈	—	212	4	no	—
2012	C₂×Q₈	—	212	4	no	—
2013	C₂×Q₈	—	212	4	no	—
2014	C₂×Q₈	—	212	8	no	—
2015	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2016	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2017	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2018	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2019	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
2020	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2021	C₂×D₄	—	4	2	no	—
2022	C₂×D₄	—	53	2	no	—
2023	C₂×D₄	—	53	4	no	—
2024	C₂×D₄	—	53	2	no	—
2025	C₂×D₄	—	53	2	no	—
2026	C₂×D₄	—	53	4	no	—
2027	C₂×D₄	—	53	2	no	—
2028	C₂×D₄	—	53	2	no	—
2029	C₂×D₄	—	53	4	no	—
2030	C₂×D₄	—	53	4	no	—
2031	C₂×D₄	—	53	4	no	—
2032	C₂×D₄	—	53	4	no	—
2033	C₂×D₄	—	53	4	no	—
2034	C₂×D₄	—	53	4	no	—
2035	C₂×D₄	—	53	4	no	—
2036	C₂×D₄	—	53	2	no	—
2037	C₂×D₄	—	53	4	no	—
2038	C₂×D₄	—	53	2	no	—
2039	C₂×D₄	—	53	4	no	—
2040	C₂×D₄	—	53	2	no	—
2041	C₂×D₄	—	53	2	no	—
2042	C₂×D₄	—	53	1	no	—
2043	C₂×D₄	—	53	2	no	—
2044	C₂×D₄	—	53	2	no	—
2045	C₂×D₄	—	53	4	no	—
2046	C₂×D₄	—	53	4	no	—
2047	C₂×D₄	—	53	4	no	—
2048	C₂×D₄	—	53	4	no	—
2049	C₂×D₄	—	53	4	no	—
2050	C₂×D₄	—	53	4	no	—
2051	C₂×D₄	—	53	2	no	—
2052	C₂×D₄	—	106	8	no	—
2053	C₂×D₄	—	212	2	no	—
2054	C₂×D₄	—	212	4	no	—
2055	C₂×D₄	—	212	8	no	—
2056	C₂×D₄	—	212	8	no	—
2057	C₂×D₄	—	212	4	no	—
2058	C₂×D₄	—	212	4	no	—
2059	C₂×D₄	—	212	4	no	—
2060	C₂×D₄	—	212	8	no	—
2061	C₂×D₄	—	212	4	no	—
2062	C₂×D₄	—	212	4	no	—
2063	C₂×D₄	—	212	8	no	—
2064	C₂×D₄	—	212	8	no	—
2065	C₂×D₄	—	212	8	no	—
2066	C₂×D₄	—	212	8	no	—
2067	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2068	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2069	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2070	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2071	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2072	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2073	C₂²×C₄	—	53	1	no	—
2074	C₂²×C₄	—	53	1	no	—
2075	C₂²×C₄	—	53	1	no	—
2076	C₂²×C₄	—	53	1	no	—
2077	C₂²×C₄	—	53	2	no	—
2078	C₂²×C₄	—	53	2	no	—
2079	C₂²×C₄	—	53	2	no	—
2080	C₂²×C₄	—	53	4	no	—
2081	C₂²×C₄	—	53	1	no	—
2082	C₂²×C₄	—	53	1	no	—
2083	C₂²×C₄	—	53	1	no	—
2084	C₂²×C₄	—	53	1	no	—
2085	C₂²×C₄	—	53	1	no	—
2086	C₂²×C₄	—	53	4	no	—
2087	C₂²×C₄	—	53	2	no	—
2088	C₂²×C₄	—	53	4	no	—
2089	C₂²×C₄	—	53	1	no	—
2090	C₂²×C₄	—	53	1	no	—
2091	C₂²×C₄	—	53	1	no	—
2092	C₂²×C₄	—	53	1	no	—
2093	C₂²×C₄	—	53	1	no	—
2094	C₂²×C₄	—	53	1	no	—
2095	C₂²×C₄	—	53	2	no	—
2096	C₂²×C₄	—	53	4	no	—
2097	C₂²×C₄	—	53	2	no	—
2098	C₂²×C₄	—	53	4	no	—
2099	C₂²×C₄	—	53	4	no	—
2100	C₂²×C₄	—	53	4	no	—
2101	C₂²×C₄	—	53	4	no	—
2102	C₂²×C₄	—	53	4	no	—
2103	C₂²×C₄	—	53	4	no	—
2104	C₂²×C₄	—	53	4	no	—
2105	C₂²×C₄	—	53	4	no	—
2106	C₂²×C₄	—	106	4	no	—
2107	C₂²×C₄	—	212	2	no	—
2108	C₂²×C₄	—	212	2	no	—
2109	C₂²×C₄	—	212	4	no	—
2110	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2111	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2112	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2113	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2114	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2115	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2116	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2117	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2118	C₄⋊C₄	—	53	2	no	—
2119	C₄⋊C₄	—	53	4	no	—
2120	C₄⋊C₄	—	53	2	no	—
2121	C₄⋊C₄	—	53	4	no	—
2122	C₄⋊C₄	—	53	2	no	—
2123	C₄⋊C₄	—	53	2	no	—
2124	C₄⋊C₄	—	53	2	no	—
2125	C₄⋊C₄	—	53	2	no	—
2126	C₄⋊C₄	—	53	4	no	—
2127	C₄⋊C₄	—	53	4	no	—
2128	C₄⋊C₄	—	53	4	no	—
2129	C₄⋊C₄	—	53	4	no	—
2130	C₄⋊C₄	—	53	4	no	—
2131	C₄⋊C₄	—	53	2	no	—
2132	C₄⋊C₄	—	53	2	no	—
2133	C₄⋊C₄	—	53	4	no	—
2134	C₄⋊C₄	—	53	2	no	—
2135	C₄⋊C₄	—	53	4	no	—
2136	C₄⋊C₄	—	53	2	no	—
2137	C₄⋊C₄	—	53	2	no	—
2138	C₄⋊C₄	—	53	2	no	—
2139	C₄⋊C₄	—	53	1	no	—
2140	C₄⋊C₄	—	53	2	no	—
2141	C₄⋊C₄	—	53	1	no	—
2142	C₄⋊C₄	—	53	2	no	—
2143	C₄⋊C₄	—	53	4	no	—
2144	C₄⋊C₄	—	53	4	no	—
2145	C₄⋊C₄	—	53	4	no	—
2146	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2147	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2148	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2149	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2150	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2151	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2152	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2153	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2154	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2155	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2156	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2157	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2158	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2159	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2160	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2161	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2162	C₂²⋊C₄	—	53	4	no	—
2163	C₂²⋊C₄	—	53	4	no	—
2164	C₂²⋊C₄	—	53	4	no	—
2165	C₂²⋊C₄	—	53	4	no	—
2166	C₂²⋊C₄	—	53	2	no	—
2167	C₂²⋊C₄	—	53	2	no	—
2168	C₂²⋊C₄	—	53	4	no	—
2169	C₂²⋊C₄	—	53	4	no	—
2170	C₂²⋊C₄	—	53	4	no	—
2171	C₂²⋊C₄	—	53	2	no	—
2172	C₂²⋊C₄	—	53	4	no	—
2173	C₂²⋊C₄	—	53	4	no	—
2174	C₂²⋊C₄	—	53	4	no	—
2175	C₂²⋊C₄	—	53	4	no	—
2176	C₂²⋊C₄	—	53	4	no	—
2177	C₂²⋊C₄	—	53	4	no	—
2178	C₂²⋊C₄	—	53	4	no	—
2179	C₂²⋊C₄	—	53	4	no	—
2180	C₂²⋊C₄	—	53	2	no	—
2181	C₂²⋊C₄	—	53	4	no	—
2182	C₂²⋊C₄	—	53	2	no	—
2183	C₂²⋊C₄	—	53	2	no	—
2184	C₂²⋊C₄	—	53	4	no	—
2185	C₂²⋊C₄	—	53	2	no	—
2186	C₂²⋊C₄	—	53	2	no	—
2187	C₂²⋊C₄	—	53	4	no	—
2188	C₂²⋊C₄	—	53	4	no	—
2189	C₂²⋊C₄	—	53	2	no	—
2190	C₂²⋊C₄	—	53	4	no	—
2191	C₂²⋊C₄	—	53	4	no	—
2192	C₂²⋊C₄	—	53	4	no	—
2193	C₂²⋊C₄	—	53	4	no	—
2194	C₂²⋊C₄	—	53	4	no	—
2195	C₂²⋊C₄	—	53	4	no	—
2196	C₂²⋊C₄	—	53	4	no	—
2197	C₂²⋊C₄	—	53	4	no	—
2198	C₂²⋊C₄	—	53	4	no	—
2199	C₂²⋊C₄	—	53	4	no	—
2200	C₂²⋊C₄	—	53	4	no	—
2201	C₂²⋊C₄	—	53	4	no	—
2202	C₂²⋊C₄	—	53	2	no	—
2203	C₂²⋊C₄	—	53	4	no	—
2204	C₂²⋊C₄	—	53	4	no	—
2205	C₂²⋊C₄	—	53	2	no	—
2206	C₂²⋊C₄	—	53	4	no	—
2207	C₂²⋊C₄	—	53	4	no	—
2208	C₂²⋊C₄	—	53	2	no	—
2209	C₂²⋊C₄	—	53	2	no	—
2210	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2211	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2212	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2213	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2214	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2215	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2216	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2217	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2218	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2219	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2220	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2221	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2222	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2223	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2224	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2225	C₄²	—	53	1	no	—
2226	C₄²	—	53	1	no	—
2227	C₄²	—	53	1	no	—
2228	C₄²	—	53	1	no	—
2229	C₄²	—	53	1	no	—
2230	C₄²	—	53	1	no	—
2231	C₄²	—	53	1	no	—
2232	C₄²	—	53	1	no	—
2233	C₄²	—	53	1	no	—
2234	C₄²	—	53	1	no	—
2235	C₄²	—	53	1	no	—
2236	C₄²	—	53	1	no	—
2237	C₄²	—	53	2	no	—
2238	C₄²	—	53	2	no	—
2239	C₄²	—	53	4	no	—
2240	C₄²	—	53	2	no	—
2241	C₄²	—	53	2	no	—
2242	C₄²	—	53	4	no	—
2243	C₄²	—	53	2	no	—
2244	C₄²	—	53	4	no	—
2245	C₄²	—	53	4	no	—
2246	C₄²	—	53	4	no	—
2247	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2248	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2249	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2250	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2251	C₄²	C₂³×D₅₃	1	4	yes	—
2252	C₄²	C₂³×D₅₃	1	2	yes	—
2253	C₄²	C₂³×D₅₃	1	4	yes	—
2254	C₂³	—	2	4	no	—
2255	C₂³	—	4	2	no	—
2256	C₂³	—	4	2	no	—
2257	C₂³	—	53	1	no	—
2258	C₂³	—	53	1	no	—
2259	C₂³	—	53	4	no	—
2260	C₂³	—	53	2	no	—
2261	C₂³	—	53	4	no	—
2262	C₂³	—	106	2	no	—
2263	C₂³	—	106	2	no	—
2264	C₂³	—	106	8	no	—
2265	C₂³	—	106	8	no	—
2266	C₂³	—	106	2	no	—
2267	C₂³	—	106	4	no	—
2268	C₂³	—	424	16	no	—
2269	C₂³	—	212	4	no	—
2270	C₂³	—	212	4	no	—
2271	C₂³	—	212	4	no	—
2272	C₂³	—	212	4	no	—
2273	C₂³	—	212	4	no	—
2274	C₂³	—	212	4	no	—
2275	C₂³	—	212	2	no	—
2276	C₂³	—	212	4	no	—
2277	C₂³	—	212	2	no	—
2278	C₂³	—	212	4	no	—
2279	C₂³	—	212	4	no	—
2280	C₂³	—	212	4	no	—
2281	C₂³	C₂⁴×D₅₃	1	4	yes	—
2282	C₂³	C₂⁴×D₅₃	1	2	yes	—
2283	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2284	Q₈	—	2	4	no	—
2285	Q₈	—	2	4	no	—
2286	Q₈	—	4	2	no	—
2287	Q₈	—	4	4	no	—
2288	Q₈	—	4	1	no	—
2289	Q₈	—	4	2	no	—
2290	Q₈	—	106	8	no	—
2291	Q₈	—	106	4	no	—
2292	Q₈	—	106	4	no	—
2293	Q₈	—	212	2	no	—
2294	Q₈	—	212	4	no	—
2295	Q₈	—	212	4	no	—
2296	Q₈	—	212	1	no	—
2297	Q₈	—	212	2	no	—
2298	Q₈	—	212	2	no	—
2299	D₄	—	2	4	no	—
2300	D₄	—	2	4	no	—
2301	D₄	—	4	2	no	—
2302	D₄	—	4	4	no	—
2303	D₄	—	4	4	no	—
2304	D₄	—	4	1	no	—
2305	D₄	—	106	4	no	—
2306	D₄	—	106	8	no	—
2307	D₄	—	106	4	no	—
2308	D₄	—	106	8	no	—
2309	D₄	—	106	8	no	—
2310	D₄	—	106	4	no	—
2311	D₄	—	106	4	no	—
2312	D₄	—	106	4	no	—
2313	D₄	—	106	8	no	—
2314	D₄	—	106	4	no	—
2315	D₄	—	106	4	no	—
2316	D₄	—	106	4	no	—
2317	D₄	—	212	4	no	—
2318	D₄	—	212	4	no	—
2319	D₄	—	212	4	no	—
2320	D₄	—	212	2	no	—
2321	D₄	—	212	4	no	—
2322	D₄	—	212	4	no	—
2323	D₄	—	212	1	no	—
2324	D₄	—	212	2	no	—
2325	D₄	—	212	2	no	—
2326	D₄	—	212	4	no	—
2327	D₄	—	212	4	no	—
2328	D₄	—	212	4	no	—
2329	D₄	—	212	4	no	—
2330	D₄	—	212	4	no	—
2331	D₄	—	212	4	no	—
2332	D₄	—	212	4	no	—
2333	D₄	—	212	2	no	—
2334	D₄	—	212	4	no	—
2335	C₂×C₄	—	2	2	no	—
2336	C₂×C₄	—	2	2	no	—
2337	C₂×C₄	—	2	4	no	—
2338	C₂×C₄	—	4	1	no	—
2339	C₂×C₄	—	4	2	no	—
2340	C₂×C₄	—	4	4	no	—
2341	C₂×C₄	—	4	4	no	—
2342	C₂×C₄	—	4	4	no	—
2343	C₂×C₄	—	53	1	no	—
2344	C₂×C₄	—	53	4	no	—
2345	C₂×C₄	—	53	1	no	—
2346	C₂×C₄	—	53	1	no	—
2347	C₂×C₄	—	53	1	no	—
2348	C₂×C₄	—	53	1	no	—
2349	C₂×C₄	—	53	2	no	—
2350	C₂×C₄	—	53	4	no	—
2351	C₂×C₄	—	53	2	no	—
2352	C₂×C₄	—	53	1	no	—
2353	C₂×C₄	—	53	4	no	—
2354	C₂×C₄	—	53	2	no	—
2355	C₂×C₄	—	106	2	no	—
2356	C₂×C₄	—	106	8	no	—
2357	C₂×C₄	—	106	2	no	—
2358	C₂×C₄	—	106	8	no	—
2359	C₂×C₄	—	106	2	no	—
2360	C₂×C₄	—	106	2	no	—
2361	C₂×C₄	—	106	2	no	—
2362	C₂×C₄	—	106	2	no	—
2363	C₂×C₄	—	106	2	no	—
2364	C₂×C₄	—	106	4	no	—
2365	C₂×C₄	—	212	1	no	—
2366	C₂×C₄	—	212	1	no	—
2367	C₂×C₄	—	212	1	no	—
2368	C₂×C₄	—	212	1	no	—
2369	C₂×C₄	—	212	1	no	—
2370	C₂×C₄	—	212	1	no	—
2371	C₂×C₄	—	212	4	no	—
2372	C₂×C₄	—	212	4	no	—
2373	C₂×C₄	—	212	4	no	—
2374	C₂×C₄	—	212	4	no	—
2375	C₂×C₄	—	212	4	no	—
2376	C₂×C₄	—	212	4	no	—
2377	C₂×C₄	—	212	4	no	—
2378	C₂×C₄	—	212	2	no	—
2379	C₂×C₄	—	212	4	no	—
2380	C₂×C₄	—	212	4	no	—
2381	C₂×C₄	—	212	2	no	—
2382	C₂×C₄	—	212	1	no	—
2383	C₂×C₄	—	212	2	no	—
2384	C₂×C₄	—	212	4	no	—
2385	C₂×C₄	—	212	2	no	—
2386	C₂×C₄	—	212	2	no	—
2387	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2388	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2389	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2390	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2391	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2392	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2393	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2394	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2395	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2396	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2397	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2398	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2399	C₂²	—	2	1	no	—
2400	C₂²	—	2	1	no	—
2401	C₂²	—	2	2	no	—
2402	C₂²	—	2	4	no	—
2403	C₂²	—	2	4	no	—
2404	C₂²	—	2	2	no	—
2405	C₂²	—	2	2	no	—
2406	C₂²	—	2	4	no	—
2407	C₂²	—	8	4	no	—
2408	C₂²	—	53	2	no	—
2409	C₂²	—	53	2	no	—
2410	C₂²	—	848	4	no	—
2411	C₂²	—	848	4	no	—
2412	C₂²	—	106	8	no	—
2413	C₂²	—	106	1	no	—
2414	C₂²	—	106	1	no	—
2415	C₂²	—	106	1	no	—
2416	C₂²	—	106	1	no	—
2417	C₂²	—	106	4	no	—
2418	C₂²	—	106	2	no	—
2419	C₂²	—	106	4	no	—
2420	C₂²	—	106	2	no	—
2421	C₂²	—	106	4	no	—
2422	C₂²	—	106	4	no	—
2423	C₂²	—	106	4	no	—
2424	C₂²	—	106	2	no	—
2425	C₂²	—	106	4	no	—
2426	C₂²	—	424	4	no	—
2427	C₂²	—	424	8	no	—
2428	C₂²	—	424	8	no	—
2429	C₂²	#16811460	1	2	yes	—
2430	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2431	C₄	—	2	2	no	—
2432	C₄	—	2	1	no	—
2433	C₄	—	2	4	no	—
2434	C₄	—	2	4	no	—
2435	C₄	—	2	2	no	—
2436	C₄	—	2	1	no	—
2437	C₄	—	2	1	no	—
2438	C₄	—	2	4	no	—
2439	C₄	—	2	1	no	—
2440	C₄	—	2	1	no	—
2441	C₄	—	2	2	no	—
2442	C₄	—	53	2	no	—
2443	C₄	—	106	1	no	—
2444	C₄	—	106	2	no	—
2445	C₄	—	106	4	no	—
2446	C₄	—	106	1	no	—
2447	C₄	—	106	1	no	—
2448	C₄	—	106	2	no	—
2449	C₄	—	106	1	no	—
2450	C₄	—	106	1	no	—
2451	C₄	—	106	4	no	—
2452	C₄	—	106	2	no	—
2453	C₄	H(5,𝔽₂)×D₅₃	1	2	yes	—
2454	C₂	—	2	2	no	—
2455	C₂	—	4	4	no	—
2456	C₂	—	4	2	no	—
2457	C₂	—	106	2	no	—
2458	C₂	—	106	2	no	—
2459	C₂	—	212	2	no	—
2460	C₂	—	212	4	no	—
2461	C₂	—	212	4	no	—
2462	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2463	C₂	#585×D₅₃	1	1	yes	characteristic
2464	C₂	C₂×#16811460	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3561	C₂
hypercenter	#3561	D₅₃
hypocenter	C₅₃	#62824
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3561

Complements

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

N	H ≅ G/N	type
1. #20289283	C₂	semidirect
2. #20289282	C₂	semidirect
3. #20289280	C₂	semidirect
4. #20289276	C₂	semidirect
5. #20289237	C₂	semidirect
6. #20289236	C₂	semidirect
7. #20289234	C₂	semidirect
8. #20289231	C₂	semidirect
9. #20289230	C₂	semidirect
10. #20289073	C₂	semidirect
11. #20289065	C₂	semidirect
12. #20289063	C₂	semidirect
13. #20288679	C₂	semidirect
14. #20288677	C₂	semidirect
15. #20288674	C₂	semidirect
16. #20288673	C₂	semidirect
17. #20288669	C₂	semidirect
18. #20288665	C₂	semidirect
19. #20288607	C₂	semidirect
20. #20288605	C₂	semidirect
21. #20288506	C₂	semidirect
22. #20288504	C₂	semidirect
23. #20288405	C₂	semidirect
24. #20288401	C₂	semidirect
25. #20288399	C₂	semidirect
26. #20288365	C₂	semidirect
27. #20288345	C₂	semidirect
28. #20288012	C₂	semidirect
29. #20288009	C₂	semidirect
30. C₂×#124×D₅₃	C₂	semidirect
31. C₅₃×#3561	C₂	semidirect
32. C₂×#13133265	C₂²	semidirect
33. C₂×#13133263	C₂²	semidirect
34. C₂²×Q₈×D₅₃	C₂²	semidirect
36. #16811377	C₂²	semidirect
37. #16811374	C₂²	semidirect
38. #16811371	C₂²	semidirect
39. #16811371	C₂²	semidirect
40. #16811370	C₂²	semidirect
41. #16811369	C₂²	semidirect
42. #16811367	C₂²	semidirect
43. #16811365	C₂²	semidirect
44. #16811365	C₂²	semidirect
45. #16811365	C₂²	semidirect
46. #16811358	C₂²	semidirect
47. #16811358	C₂²	semidirect
48. #16811357	C₂²	semidirect
49. #16811356	C₂²	semidirect
50. #16811355	C₂²	semidirect
51. #16811355	C₂²	semidirect
52. #16811347	C₂²	semidirect
53. #16811345	C₂²	semidirect
54. #16811344	C₂²	semidirect
55. #16811342	C₂²	semidirect
56. #16811340	C₂²	semidirect
57. #16811339	C₂²	semidirect
58. #16811337	C₂²	semidirect
59. #16811336	C₂²	semidirect
60. #16811335	C₂²	semidirect
61. #16811303	C₂²	semidirect
62. #16811302	C₂²	semidirect
63. #16811301	C₂²	semidirect
64. #16811301	C₂²	semidirect
65. #16811300	C₂²	semidirect
66. #16811300	C₂²	semidirect
67. #16811300	C₂²	semidirect
68. #16811300	C₂²	semidirect
69. #16811300	C₂²	semidirect
70. #16811300	C₂²	semidirect
71. #16811299	C₂²	semidirect
72. #16811298	C₂²	semidirect
73. #16811298	C₂²	semidirect
74. #16811298	C₂²	semidirect
75. #16811298	C₂²	semidirect
76. #16811298	C₂²	semidirect
77. #16811297	C₂²	semidirect
78. #16811297	C₂²	semidirect
79. #16811296	C₂²	semidirect
80. #16811288	C₂²	semidirect
81. #16811288	C₂²	semidirect
82. Q₈×C₂²⋊D₅₃	C₂²	semidirect
83. #16811286	C₂²	semidirect
84. #16811286	C₂²	semidirect
85. #16811285	C₂²	semidirect
86. #16811285	C₂²	semidirect
87. #16811284	C₂²	semidirect
88. #16811284	C₂²	semidirect
89. #16811283	C₂²	semidirect
90. #16811283	C₂²	semidirect
91. #16811283	C₂²	semidirect
92. #16811283	C₂²	semidirect
93. #16811282	C₂²	semidirect
94. #16811282	C₂²	semidirect
95. #16811280	C₂²	semidirect
96. #16811270	C₂²	semidirect
97. #16811270	C₂²	semidirect
98. #16811269	C₂²	semidirect
99. #16811269	C₂²	semidirect
100. #16811268	C₂²	semidirect
101. #16811266	C₂²	semidirect
102. #16811266	C₂²	semidirect
103. #16811266	C₂²	semidirect
104. #16811266	C₂²	semidirect
105. #16811265	C₂²	semidirect
106. #16811265	C₂²	semidirect
107. #16811265	C₂²	semidirect
108. #16811265	C₂²	semidirect
109. #16811265	C₂²	semidirect
110. #16811265	C₂²	semidirect
111. #16811264	C₂²	semidirect
112. #16811264	C₂²	semidirect
113. #16811264	C₂²	semidirect
114. #16811264	C₂²	semidirect
115. #16811264	C₂²	semidirect
116. #16811264	C₂²	semidirect
117. #16811264	C₂²	semidirect
118. #16811263	C₂²	semidirect
119. #16811263	C₂²	semidirect
120. #16811262	C₂²	semidirect
121. #16811261	C₂²	semidirect
122. #16811260	C₂²	semidirect
123. D₄×D₂₁₂	C₂²	semidirect
124. D₄×D₂₁₂	C₂²	semidirect
125. #16811257	C₂²	semidirect
126. #16811257	C₂²	semidirect
127. D₄×C₂²⋊D₅₃	C₂²	semidirect
128. #16811255	C₂²	semidirect
129. #16811248	C₂²	semidirect
130. #16811248	C₂²	semidirect
131. #16811247	C₂²	semidirect
132. #16811247	C₂²	semidirect
133. #16811246	C₂²	semidirect
134. #16811245	C₂²	semidirect
135. #16811244	C₂²	semidirect
136. #16811243	C₂²	semidirect
137. #16811243	C₂²	semidirect
138. #16811243	C₂²	semidirect
139. #16811242	C₂²	semidirect
140. #16811241	C₂²	semidirect
141. #16811241	C₂²	semidirect
142. #16811239	C₂²	semidirect
143. #16811213	C₂²	semidirect
144. #16811213	C₂²	semidirect
145. #16811213	C₂²	semidirect
146. #16811213	C₂²	semidirect
147. #16811212	C₂²	semidirect
148. #16811212	C₂²	semidirect
149. #16811212	C₂²	semidirect
150. #16811212	C₂²	semidirect
151. #16811212	C₂²	semidirect
152. #16811211	C₂²	semidirect
153. #16811210	C₂²	semidirect
154. #16811209	C₂²	semidirect
155. #16811209	C₂²	semidirect
156. #16811208	C₂²	semidirect
157. #16811207	C₂²	semidirect
158. #16811207	C₂²	semidirect
159. #16811205	C₂²	semidirect
160. #16811198	C₂²	semidirect
161. #16811198	C₂²	semidirect
162. #16811198	C₂²	semidirect
163. #16811196	C₂²	semidirect
164. #16811196	C₂²	semidirect
165. #16811196	C₂²	semidirect
166. #16811192	C₂²	semidirect
168. #16811191	C₂²	semidirect
170. #16811189	C₂²	semidirect
171. #16811185	C₂²	semidirect
172. #16811184	C₂²	semidirect
173. #16811184	C₂²	semidirect
174. #16811181	C₂²	semidirect
175. #16811181	C₂²	semidirect
176. #16811179	C₂²	semidirect
177. #16811178	C₂²	semidirect
178. #16811178	C₂²	semidirect
179. #16811177	C₂²	semidirect
180. #16811175	C₂²	semidirect
181. #16811174	C₂²	semidirect
182. #16811174	C₂²	semidirect
183. #16811174	C₂²	semidirect
184. #16811173	C₂²	semidirect
185. #16811172	C₂²	semidirect
186. #16811170	C₂²	semidirect
187. #16811170	C₂²	semidirect
188. #16811169	C₂²	semidirect
189. #16811168	C₂²	semidirect
190. #16811160	C₂²	semidirect
191. #16811160	C₂²	semidirect
192. #16811160	C₂²	semidirect
193. #16811159	C₂²	semidirect
194. #16811159	C₂²	semidirect
195. #16811159	C₂²	semidirect
196. #16811158	C₂²	semidirect
197. #16811158	C₂²	semidirect
198. #16811158	C₂²	semidirect
199. #16811157	C₂²	semidirect
200. #16811156	C₂²	semidirect
201. #16811156	C₂²	semidirect
202. #16811156	C₂²	semidirect
203. #16811155	C₂²	semidirect
204. #16811154	C₂²	semidirect
205. #16811152	C₂²	semidirect
206. #16811151	C₂²	semidirect
207. #16811151	C₂²	semidirect
208. #16811150	C₂²	semidirect
209. C₂×#13133206	C₂²	semidirect
210. C₂×#13133206	C₂²	semidirect
211. C₂×#13133205	C₂²	semidirect
212. C₂×#13133204	C₂²	semidirect
213. C₂×#13133203	C₂²	semidirect
214. C₂×#13133203	C₂²	semidirect
215. #124×D₅₃	C₂²	semidirect
216. #124×D₅₃	C₂²	semidirect
217. #124×D₅₃	C₂²	semidirect
218. #124×D₅₃	C₂²	semidirect
219. #124×D₅₃	C₂²	semidirect
220. #124×D₅₃	C₂²	semidirect
221. #124×D₅₃	C₂²	semidirect
222. #124×D₅₃	C₂²	semidirect
223. #124×D₅₃	C₂²	semidirect
224. #124×D₅₃	C₂²	semidirect
225. #16811136	C₂²	semidirect
226. #16811136	C₂²	semidirect
227. #16811136	C₂²	semidirect
228. #16811136	C₂²	semidirect
229. #16811135	C₂²	semidirect
230. #16811133	C₂²	semidirect
231. #16811132	C₂²	semidirect
232. #16811132	C₂²	semidirect
233. #16811131	C₂²	semidirect
234. C₂×#13133187	C₂²	semidirect
235. #120×D₅₃	C₂²	semidirect
236. #16811099	C₂²	semidirect
237. #16811097	C₂²	semidirect
238. #16811096	C₂²	semidirect
239. #16811095	C₂²	semidirect
240. #16811095	C₂²	semidirect
241. #16811095	C₂²	semidirect
242. C₄×#11719949	C₂²	semidirect
243. C₄×#11719949	C₂²	semidirect
244. C₄×#11719949	C₂²	semidirect
245. #16811091	C₂²	semidirect
246. #16811091	C₂²	semidirect
247. C₄×#11719947	C₂²	semidirect
248. C₄×#11719947	C₂²	semidirect
249. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
250. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
251. C₂×C₄²×D₅₃	C₂²	semidirect
252. C₅₃×#563	C₂²	semidirect
253. C₅₃×#562	C₂²	semidirect
254. C₅₃×#556	C₂²	semidirect
255. C₅₃×#551	C₂²	semidirect
256. D₄×Q₈×C₅₃	C₂²	semidirect
257. C₅₃×#548	C₂²	semidirect
258. C₅₃×#546	C₂²	semidirect
259. C₅₃×#543	C₂²	semidirect
260. C₅₃×#542	C₂²	semidirect
261. C₅₃×#542	C₂²	semidirect
262. C₅₃×#538	C₂²	semidirect
263. C₅₃×#536	C₂²	semidirect
264. C₅₃×#533	C₂²	semidirect
265. C₅₃×#529	C₂²	semidirect
266. C₂×#124×C₅₃	C₂²	semidirect
275. C₂×#11719949	C₂³	semidirect
280. C₂×#11719945	C₂³	semidirect
281. C₂×#11719945	C₂³	semidirect
291. C₂×Q₈×D₅₃	C₂³	semidirect
292. C₂×Q₈×D₅₃	C₂³	semidirect
313. #13133217	C₂³	semidirect
314. #13133216	C₂³	semidirect
315. #13133216	C₂³	semidirect
316. #13133216	C₂³	semidirect
317. #13133216	C₂³	semidirect
318. #13133216	C₂³	semidirect
319. #13133215	C₂³	semidirect
320. #13133215	C₂³	semidirect
321. #13133215	C₂³	semidirect
323. #13133214	C₂³	semidirect
326. #13133213	C₂³	semidirect
327. #13133212	C₂³	semidirect
328. #13133212	C₂³	semidirect
329. #13133212	C₂³	semidirect
330. #13133212	C₂³	semidirect
331. #13133212	C₂³	semidirect
332. #13133212	C₂³	semidirect
333. #13133212	C₂³	semidirect
334. #13133212	C₂³	semidirect
335. #13133212	C₂³	semidirect
336. #13133212	C₂³	semidirect
337. #13133211	C₂³	semidirect
338. #13133211	C₂³	semidirect
339. #13133210	C₂³	semidirect
340. #13133210	C₂³	semidirect
341. #13133210	C₂³	semidirect
342. #13133210	C₂³	semidirect
343. #13133210	C₂³	semidirect
344. #13133210	C₂³	semidirect
345. #13133209	C₂³	semidirect
346. #13133208	C₂³	semidirect
347. #13133208	C₂³	semidirect
348. #13133207	C₂³	semidirect
349. #13133207	C₂³	semidirect
355. #13133206	C₂³	semidirect
356. #13133206	C₂³	semidirect
357. #13133206	C₂³	semidirect
358. #13133206	C₂³	semidirect
359. #13133206	C₂³	semidirect
360. #13133206	C₂³	semidirect
361. #13133206	C₂³	semidirect
362. #13133206	C₂³	semidirect
363. #13133206	C₂³	semidirect
368. #13133205	C₂³	semidirect
369. #13133205	C₂³	semidirect
370. #13133205	C₂³	semidirect
371. #13133205	C₂³	semidirect
372. #13133205	C₂³	semidirect
373. #13133205	C₂³	semidirect
378. #13133204	C₂³	semidirect
388. #13133203	C₂³	semidirect
389. #13133203	C₂³	semidirect
390. #13133203	C₂³	semidirect
391. #13133203	C₂³	semidirect
392. #13133203	C₂³	semidirect
393. #13133203	C₂³	semidirect
394. #13133203	C₂³	semidirect
395. #13133203	C₂³	semidirect
396. #13133203	C₂³	semidirect
397. #13133203	C₂³	semidirect
398. #13133203	C₂³	semidirect
407. #13133202	C₂³	semidirect
408. #13133202	C₂³	semidirect
409. #13133202	C₂³	semidirect
410. #13133202	C₂³	semidirect
411. #13133202	C₂³	semidirect
412. #13133202	C₂³	semidirect
413. #13133202	C₂³	semidirect
414. #13133202	C₂³	semidirect
415. #13133202	C₂³	semidirect
416. #13133202	C₂³	semidirect
418. #13133201	C₂³	semidirect
419. #13133201	C₂³	semidirect
420. #13133201	C₂³	semidirect
423. #13133200	C₂³	semidirect
428. #13133199	C₂³	semidirect
429. #13133199	C₂³	semidirect
430. #13133199	C₂³	semidirect
431. #13133199	C₂³	semidirect
432. #13133199	C₂³	semidirect
433. #13133199	C₂³	semidirect
434. #13133198	C₂³	semidirect
438. #13133197	C₂³	semidirect
439. #13133197	C₂³	semidirect
440. #13133197	C₂³	semidirect
441. #13133197	C₂³	semidirect
443. #13133196	C₂³	semidirect
444. #13133196	C₂³	semidirect
445. #13133196	C₂³	semidirect
450. #13133195	C₂³	semidirect
451. #13133195	C₂³	semidirect
452. #13133195	C₂³	semidirect
453. #13133195	C₂³	semidirect
454. #13133195	C₂³	semidirect
455. #13133195	C₂³	semidirect
456. #13133195	C₂³	semidirect
457. #13133195	C₂³	semidirect
458. #13133195	C₂³	semidirect
459. #13133195	C₂³	semidirect
462. #13133194	C₂³	semidirect
463. #13133194	C₂³	semidirect
468. #13133193	C₂³	semidirect
469. #13133193	C₂³	semidirect
470. #13133193	C₂³	semidirect
471. #13133193	C₂³	semidirect
481. #13133192	C₂³	semidirect
482. #13133192	C₂³	semidirect
483. #13133192	C₂³	semidirect
484. #13133192	C₂³	semidirect
485. #13133192	C₂³	semidirect
486. #13133192	C₂³	semidirect
493. #13133191	C₂³	semidirect
502. #13133190	C₂³	semidirect
503. #13133190	C₂³	semidirect
504. #13133190	C₂³	semidirect
505. #13133190	C₂³	semidirect
510. #13133189	C₂³	semidirect
511. #13133189	C₂³	semidirect
514. #13133188	C₂³	semidirect
515. #13133188	C₂³	semidirect
528. #13133187	C₂³	semidirect
529. #13133187	C₂³	semidirect
530. #13133187	C₂³	semidirect
531. #13133187	C₂³	semidirect
532. #13133187	C₂³	semidirect
533. #13133187	C₂³	semidirect
540. #13133185	C₂³	semidirect
541. #13133185	C₂³	semidirect
542. Q₈×Dic₅₃	C₂³	semidirect
543. Q₈×Dic₅₃	C₂³	semidirect
544. Q₈×Dic₅₃	C₂³	semidirect
545. Q₈×Dic₅₃	C₂³	semidirect
546. C₄×Dic₁₀₆	C₂³	semidirect
547. C₄×Dic₁₀₆	C₂³	semidirect
548. C₄×Dic₁₀₆	C₂³	semidirect
549. C₄×Dic₁₀₆	C₂³	semidirect
550. #13133182	C₂³	semidirect
551. #13133182	C₂³	semidirect
552. #13133182	C₂³	semidirect
553. #13133182	C₂³	semidirect
554. #13133182	C₂³	semidirect
555. #13133182	C₂³	semidirect
556. #13133182	C₂³	semidirect
557. #13133182	C₂³	semidirect
563. C₄×D₂₁₂	C₂³	semidirect
564. C₄×D₂₁₂	C₂³	semidirect
565. C₄×D₂₁₂	C₂³	semidirect
566. C₄×D₂₁₂	C₂³	semidirect
567. C₄×D₂₁₂	C₂³	semidirect
568. C₄×D₂₁₂	C₂³	semidirect
571. D₄×Dic₅₃	C₂³	semidirect
572. D₄×Dic₅₃	C₂³	semidirect
581. #13133179	C₂³	semidirect
582. #13133179	C₂³	semidirect
583. #13133179	C₂³	semidirect
584. #13133179	C₂³	semidirect
585. #13133179	C₂³	semidirect
586. #13133179	C₂³	semidirect
587. #13133179	C₂³	semidirect
588. #13133179	C₂³	semidirect
594. C₄×C₂²⋊D₅₃	C₂³	semidirect
595. C₄×C₂²⋊D₅₃	C₂³	semidirect
596. C₄×C₂²⋊D₅₃	C₂³	semidirect
597. C₄×C₂²⋊D₅₃	C₂³	semidirect
598. C₄×C₂²⋊D₅₃	C₂³	semidirect
599. C₄×C₂²⋊D₅₃	C₂³	semidirect
600. C₄×C₂²⋊D₅₃	C₂³	semidirect
610. #13133177	C₂³	semidirect
611. #13133177	C₂³	semidirect
612. #13133177	C₂³	semidirect
613. #13133177	C₂³	semidirect
614. #13133177	C₂³	semidirect
615. #13133176	C₂³	semidirect
621. #13133175	C₂³	semidirect
622. #13133175	C₂³	semidirect
623. #13133175	C₂³	semidirect
624. #13133175	C₂³	semidirect
625. #13133175	C₂³	semidirect
626. #13133175	C₂³	semidirect
629. #13133174	C₂³	semidirect
630. #13133174	C₂³	semidirect
631. #13133174	C₂³	semidirect
632. #13133174	C₂³	semidirect
634. #13133173	C₂³	semidirect
635. #13133173	C₂³	semidirect
636. #13133173	C₂³	semidirect
637. #13133173	C₂³	semidirect
646. C₂×#11719921	C₂³	semidirect
647. C₂×#11719921	C₂³	semidirect
659. C₂²⋊C₄×D₅₃	C₂³	semidirect
660. C₂²⋊C₄×D₅₃	C₂³	semidirect
661. C₂²⋊C₄×D₅₃	C₂³	semidirect
662. C₂²⋊C₄×D₅₃	C₂³	semidirect
663. C₂²⋊C₄×D₅₃	C₂³	semidirect
664. C₂²⋊C₄×D₅₃	C₂³	semidirect
668. C₂×C₄×Dic₅₃	C₂³	semidirect
677. C₄²×D₅₃	C₂³	semidirect
678. C₄²×D₅₃	C₂³	semidirect
681. C₂²×Q₈×C₅₃	C₂³	semidirect
683. C₄⋊Q₈×C₅₃	C₂³	semidirect
684. C₄⋊Q₈×C₅₃	C₂³	semidirect
685. C₄⋊Q₈×C₅₃	C₂³	semidirect
686. C₄⋊Q₈×C₅₃	C₂³	semidirect
687. #126×C₅₃	C₂³	semidirect
688. #126×C₅₃	C₂³	semidirect
689. #126×C₅₃	C₂³	semidirect
690. #126×C₅₃	C₂³	semidirect
691. #125×C₅₃	C₂³	semidirect
692. #125×C₅₃	C₂³	semidirect
698. #124×C₅₃	C₂³	semidirect
699. #124×C₅₃	C₂³	semidirect
700. #124×C₅₃	C₂³	semidirect
703. #123×C₅₃	C₂³	semidirect
704. #123×C₅₃	C₂³	semidirect
705. #123×C₅₃	C₂³	semidirect
710. C₂²⋊Q₈×C₅₃	C₂³	semidirect
711. C₂²⋊Q₈×C₅₃	C₂³	semidirect
712. C₂²⋊Q₈×C₅₃	C₂³	semidirect
713. C₂²⋊Q₈×C₅₃	C₂³	semidirect
714. C₂²⋊Q₈×C₅₃	C₂³	semidirect
715. C₂²⋊Q₈×C₅₃	C₂³	semidirect
716. C₂²⋊Q₈×C₅₃	C₂³	semidirect
720. #121×C₅₃	C₂³	semidirect
722. C₄×Q₈×C₅₃	C₂³	semidirect
723. C₄×Q₈×C₅₃	C₂³	semidirect
724. C₄×Q₈×C₅₃	C₂³	semidirect
725. C₄×Q₈×C₅₃	C₂³	semidirect
729. C₄×D₄×C₅₃	C₂³	semidirect
730. C₄×D₄×C₅₃	C₂³	semidirect
732. #117×C₅₃	C₂³	semidirect
733. #117×C₅₃	C₂³	semidirect
1226. #3561	D₅₃	semidirect
1270. #563	C₂×D₅₃	semidirect
1276. #562	C₂×D₅₃	semidirect
1291. #556	C₂×D₅₃	semidirect
1315. #551	C₂×D₅₃	semidirect
1321. D₄×Q₈	C₂×D₅₃	semidirect
1333. #548	C₂×D₅₃	semidirect
1361. #546	C₂×D₅₃	semidirect
1370. #543	C₂×D₅₃	semidirect
1383. #542	C₂×D₅₃	semidirect
1384. #542	C₂×D₅₃	semidirect
1402. #538	C₂×D₅₃	semidirect
1409. #536	C₂×D₅₃	semidirect
1425. #533	C₂×D₅₃	semidirect
1454. #529	C₂×D₅₃	semidirect
1471. C₂×#124	C₂×D₅₃	semidirect
1499. C₅₃	#62824	semidirect
1528. C₂²×Q₈	C₂²×D₅₃	semidirect
1559. C₄⋊Q₈	C₂²×D₅₃	semidirect
1560. C₄⋊Q₈	C₂²×D₅₃	semidirect
1561. C₄⋊Q₈	C₂²×D₅₃	semidirect
1562. C₄⋊Q₈	C₂²×D₅₃	semidirect
1586. #126	C₂²×D₅₃	semidirect
1587. #126	C₂²×D₅₃	semidirect
1588. #126	C₂²×D₅₃	semidirect
1589. #126	C₂²×D₅₃	semidirect
1595. #125	C₂²×D₅₃	semidirect
1596. #125	C₂²×D₅₃	semidirect
1651. #124	C₂²×D₅₃	semidirect
1652. #124	C₂²×D₅₃	semidirect
1653. #124	C₂²×D₅₃	semidirect
1692. #123	C₂²×D₅₃	semidirect
1693. #123	C₂²×D₅₃	semidirect
1694. #123	C₂²×D₅₃	semidirect
1736. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1737. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1738. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1739. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1740. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1741. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1742. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1790. #121	C₂²×D₅₃	semidirect
1834. C₄×Q₈	C₂²×D₅₃	semidirect
1835. C₄×Q₈	C₂²×D₅₃	semidirect
1836. C₄×Q₈	C₂²×D₅₃	semidirect
1837. C₄×Q₈	C₂²×D₅₃	semidirect
1898. C₄×D₄	C₂²×D₅₃	semidirect
1899. C₄×D₄	C₂²×D₅₃	semidirect
1924. #117	C₂²×D₅₃	semidirect
1925. #117	C₂²×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20289283	2
#20289282	2
#20289280	2
#20289276	2
#20289237	2
#20289236	2
#20289234	2
#20289231	2
#20289230	2
#20289073	2
#20289065	2
#20289063	2
#20288679	2
#20288677	2
#20288674	2
#20288673	2
#20288669	2
#20288665	2
#20288607	2
#20288605	2
#20288506	2
#20288504	2
#20288405	2
#20288401	2
#20288399	2
#20288365	2
#20288345	2
#20288012	2
#20288009	2
C₂×#124×D₅₃	2
C₅₃×#3561	2
#62824	53