Subgroups — #28292805

Order 13568.

7330 conjugacy classes of subgroups.

The subgroup lattice has 2050 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	#20289279	C₂	1	4	yes	maximal, complemented
3	#20289277	C₂	1	2	yes	maximal, complemented
4	#20289237	C₂	1	2	yes	maximal, complemented
5	#20289228	C₂	1	2	yes	maximal, complemented
6	#20289226	C₂	1	4	yes	maximal, complemented
7	#20289072	C₂	1	1	yes	maximal, characteristic, complemented
8	#20289069	C₂	1	2	yes	maximal, complemented
9	#20289067	C₂	1	2	yes	maximal, complemented
10	#20289064	C₂	1	2	yes	maximal, complemented
11	#20288674	C₂	1	4	yes	maximal, complemented
12	#20288672	C₂	1	4	yes	maximal, complemented
13	#20288668	C₂	1	4	yes	maximal, complemented
14	#20288665	C₂	1	4	yes	maximal, complemented
15	#20288603	C₂	1	4	yes	maximal, complemented
16	#20288501	C₂	1	4	yes	maximal, complemented
17	#20288399	C₂	1	4	yes	maximal, complemented
18	#20288397	C₂	1	4	yes	maximal, complemented
19	#20288364	C₂	1	2	yes	maximal, complemented
20	#20288347	C₂	1	2	yes	maximal, complemented
21	#20288009	C₂	1	2	yes	maximal, complemented
22	C₂×#124×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#3545	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13133264	C₂²	1	2	yes	complemented
25	C₂×#13133262	C₂²	1	2	yes	complemented
26	C₂²×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
27	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
28	#16811377	C₂²	1	2	yes	complemented
29	#16811376	C₂²	1	2	yes	complemented
30	#16811373	C₂²	1	1	yes	characteristic, complemented
31	#16811372	C₂²	1	2	yes	complemented
32	#16811371	C₂²	1	2	yes	complemented
33	#16811369	C₂²	1	4	yes	complemented
34	#16811368	C₂²	1	4	yes	complemented
35	#16811367	C₂²	1	2	yes	complemented
36	#16811367	C₂²	1	2	yes	complemented
37	#16811366	C₂²	1	2	yes	complemented
38	#16811365	C₂²	1	1	yes	characteristic, complemented
39	#16811365	C₂²	1	2	yes	complemented
40	#16811365	C₂²	1	2	yes	complemented
41	#16811357	C₂²	1	4	yes	complemented
42	#16811357	C₂²	1	4	yes	complemented
43	#16811356	C₂²	1	4	yes	complemented
44	#16811355	C₂²	1	4	yes	complemented
45	#16811344	C₂²	1	4	yes	complemented
46	#16811341	C₂²	1	4	yes	complemented
47	#16811340	C₂²	1	4	yes	complemented
48	#16811340	C₂²	1	4	yes	complemented
49	#16811339	C₂²	1	2	yes	complemented
50	#16811337	C₂²	1	4	yes	complemented
51	#16811336	C₂²	1	4	yes	complemented
52	#16811335	C₂²	1	2	yes	complemented
53	#16811335	C₂²	1	2	yes	complemented
54	#16811304	C₂²	1	4	yes	complemented
55	#16811304	C₂²	1	2	yes	complemented
56	#16811303	C₂²	1	2	yes	complemented
57	#16811303	C₂²	1	4	yes	complemented
58	#16811302	C₂²	1	4	yes	complemented
59	#16811302	C₂²	1	4	yes	complemented
60	#16811301	C₂²	1	2	yes	complemented
61	#16811301	C₂²	1	4	yes	complemented
62	#16811300	C₂²	1	4	yes	complemented
63	#16811300	C₂²	1	4	yes	complemented
64	#16811300	C₂²	1	4	yes	complemented
65	#16811299	C₂²	1	4	yes	complemented
66	#16811299	C₂²	1	4	yes	complemented
67	#16811298	C₂²	1	4	yes	complemented
68	#16811298	C₂²	1	4	yes	complemented
69	#16811297	C₂²	1	4	yes	complemented
70	#16811297	C₂²	1	4	yes	complemented
71	#16811297	C₂²	1	4	yes	complemented
72	#16811296	C₂²	1	4	yes	complemented
73	#16811296	C₂²	1	4	yes	complemented
74	#16811288	C₂²	1	4	yes	complemented
75	#16811288	C₂²	1	4	yes	complemented
76	#16811286	C₂²	1	4	yes	complemented
77	#16811286	C₂²	1	4	yes	complemented
78	#16811283	C₂²	1	4	yes	complemented
79	#16811283	C₂²	1	4	yes	complemented
80	#16811283	C₂²	1	4	yes	complemented
81	#16811282	C₂²	1	4	yes	complemented
82	#16811281	C₂²	1	4	yes	complemented
83	#16811281	C₂²	1	4	yes	complemented
84	#16811281	C₂²	1	4	yes	complemented
85	#16811279	C₂²	1	4	yes	complemented
86	#16811270	C₂²	1	4	yes	complemented
87	#16811269	C₂²	1	4	yes	complemented
88	#16811268	C₂²	1	4	yes	complemented
89	#16811267	C₂²	1	4	yes	complemented
90	#16811266	C₂²	1	4	yes	complemented
91	#16811265	C₂²	1	4	yes	complemented
92	#16811265	C₂²	1	4	yes	complemented
93	#16811265	C₂²	1	4	yes	complemented
94	#16811265	C₂²	1	4	yes	complemented
95	#16811265	C₂²	1	4	yes	complemented
96	#16811264	C₂²	1	4	yes	complemented
97	#16811263	C₂²	1	4	yes	complemented
98	#16811263	C₂²	1	4	yes	complemented
99	#16811263	C₂²	1	4	yes	complemented
100	#16811262	C₂²	1	4	yes	complemented
101	#16811262	C₂²	1	4	yes	complemented
102	#16811262	C₂²	1	4	yes	complemented
103	#16811262	C₂²	1	4	yes	complemented
104	#16811262	C₂²	1	4	yes	complemented
105	#16811261	C₂²	1	4	yes	complemented
106	#16811260	C₂²	1	4	yes	complemented
107	#16811260	C₂²	1	4	yes	complemented
108	#16811260	C₂²	1	4	yes	complemented
109	#16811257	C₂²	1	4	yes	complemented
110	#16811257	C₂²	1	4	yes	complemented
111	#16811255	C₂²	1	4	yes	complemented
112	#16811255	C₂²	1	4	yes	complemented
113	#16811248	C₂²	1	4	yes	complemented
114	#16811248	C₂²	1	4	yes	complemented
115	#16811247	C₂²	1	4	yes	complemented
116	#16811245	C₂²	1	4	yes	complemented
117	#16811243	C₂²	1	4	yes	complemented
118	#16811243	C₂²	1	4	yes	complemented
119	#16811241	C₂²	1	4	yes	complemented
120	#16811241	C₂²	1	4	yes	complemented
121	#16811240	C₂²	1	4	yes	complemented
122	#16811239	C₂²	1	4	yes	complemented
123	#16811239	C₂²	1	4	yes	complemented
124	#16811237	C₂²	1	4	yes	complemented
125	#16811237	C₂²	1	4	yes	complemented
126	#16811213	C₂²	1	4	yes	complemented
127	#16811212	C₂²	1	4	yes	complemented
128	#16811212	C₂²	1	4	yes	complemented
129	#16811212	C₂²	1	4	yes	complemented
130	#16811209	C₂²	1	4	yes	complemented
131	#16811209	C₂²	1	4	yes	complemented
132	#16811208	C₂²	1	4	yes	complemented
133	#16811207	C₂²	1	4	yes	complemented
134	#16811207	C₂²	1	4	yes	complemented
135	#16811207	C₂²	1	4	yes	complemented
136	#16811207	C₂²	1	4	yes	complemented
137	#16811206	C₂²	1	4	yes	complemented
138	#16811205	C₂²	1	4	yes	complemented
139	#16811205	C₂²	1	4	yes	complemented
140	#16811205	C₂²	1	4	yes	complemented
141	#16811197	C₂²	1	2	yes	complemented
142	#16811196	C₂²	1	4	yes	complemented
143	#16811195	C₂²	1	4	yes	complemented
144	#16811195	C₂²	1	4	yes	complemented
145	#16811195	C₂²	1	4	yes	complemented
146	#16811189	C₂²	1	4	yes	complemented
147	#16811188	C₂²	1	4	yes	—
148	#16811188	C₂²	1	4	yes	complemented
149	#16811184	C₂²	1	4	yes	complemented
150	#16811184	C₂²	1	4	yes	complemented
151	#16811183	C₂²	1	4	yes	complemented
152	#16811182	C₂²	1	2	yes	complemented
153	#16811179	C₂²	1	2	yes	complemented
154	#16811177	C₂²	1	2	yes	complemented
155	#16811175	C₂²	1	2	yes	complemented
156	#16811172	C₂²	1	2	yes	complemented
157	#16811170	C₂²	1	2	yes	complemented
158	#16811170	C₂²	1	4	yes	complemented
159	#16811168	C₂²	1	2	yes	complemented
160	#16811168	C₂²	1	4	yes	complemented
161	#16811158	C₂²	1	2	yes	complemented
162	#16811157	C₂²	1	2	yes	complemented
163	#16811156	C₂²	1	4	yes	complemented
164	#16811156	C₂²	1	4	yes	complemented
165	#16811156	C₂²	1	4	yes	complemented
166	#16811153	C₂²	1	4	yes	complemented
167	#16811152	C₂²	1	2	yes	complemented
168	#16811151	C₂²	1	4	yes	complemented
169	#16811151	C₂²	1	4	yes	complemented
170	#16811150	C₂²	1	4	yes	complemented
171	#16811150	C₂²	1	4	yes	complemented
172	C₂×#13133206	C₂²	1	1	yes	characteristic, complemented
173	C₂×#13133205	C₂²	1	1	yes	characteristic, complemented
174	C₂×#13133204	C₂²	1	1	yes	characteristic, complemented
175	C₂×#13133203	C₂²	1	4	yes	complemented
176	C₂×#13133203	C₂²	1	4	yes	complemented
177	#124×D₅₃	C₂²	1	2	yes	complemented
178	#124×D₅₃	C₂²	1	2	yes	complemented
179	#124×D₅₃	C₂²	1	4	yes	complemented
180	#124×D₅₃	C₂²	1	2	yes	complemented
181	#124×D₅₃	C₂²	1	4	yes	complemented
182	#124×D₅₃	C₂²	1	2	yes	complemented
183	#124×D₅₃	C₂²	1	4	yes	complemented
184	#16811136	C₂²	1	2	yes	complemented
185	#16811135	C₂²	1	2	yes	complemented
186	#16811133	C₂²	1	2	yes	complemented
187	#16811132	C₂²	1	4	yes	complemented
188	#16811131	C₂²	1	4	yes	complemented
189	#16811131	C₂²	1	4	yes	complemented
190	#16811130	C₂²	1	2	yes	complemented
191	C₂×#13133187	C₂²	1	2	yes	complemented
192	C₂×#13133185	C₂²	1	2	yes	complemented
193	#120×D₅₃	C₂²	1	4	yes	complemented
194	#16811100	C₂²	1	2	yes	complemented
195	#16811097	C₂²	1	4	yes	complemented
196	#16811096	C₂²	1	2	yes	complemented
197	#16811096	C₂²	1	4	yes	complemented
198	#16811095	C₂²	1	4	yes	complemented
199	#16811095	C₂²	1	4	yes	complemented
200	C₄×#11719949	C₂²	1	2	yes	complemented
201	#16811091	C₂²	1	4	yes	complemented
202	C₄×#11719947	C₂²	1	4	yes	complemented
203	C₄×#11719947	C₂²	1	2	yes	complemented
204	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	complemented
205	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic, complemented
206	C₅₃×#563	C₂²	1	1	yes	characteristic, complemented
207	C₅₃×#562	C₂²	1	2	yes	complemented
208	C₅₃×H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
209	C₅₃×#555	C₂²	1	2	yes	complemented
210	C₅₃×#551	C₂²	1	4	yes	complemented
211	C₅₃×#551	C₂²	1	2	yes	complemented
212	C₅₃×#546	C₂²	1	4	yes	complemented
213	C₅₃×#542	C₂²	1	4	yes	complemented
214	C₅₃×#538	C₂²	1	4	yes	complemented
215	C₅₃×#536	C₂²	1	2	yes	complemented
216	C₅₃×#534	C₂²	1	2	yes	complemented
217	C₅₃×#529	C₂²	1	2	yes	complemented
218	C₂×#124×C₅₃	C₂²	1	1	yes	characteristic, complemented
219	C₂⁴×D₅₃	C₂³	1	2	yes	—
220	#13133264	—	4	8	no	—
221	#13133262	—	4	8	no	—
222	C₂×#11719949	C₂³	1	2	yes	—
223	C₂×#11719945	C₂³	1	4	yes	—
224	C₂×#11719945	C₂³	1	2	yes	—
225	C₂×#11719945	C₂³	1	4	yes	—
226	C₂×#11719945	C₂³	1	4	yes	complemented
227	C₂×#11719947	C₂³	1	4	yes	—
228	C₂×#11719947	C₂³	1	4	yes	—
229	C₂×#11719947	C₂³	1	4	yes	—
230	C₂×#11719947	C₂³	1	2	yes	—
231	C₂×#11719947	C₂³	1	4	yes	complemented
232	C₂²×Dic₁₀₆	C₂³	1	2	yes	—
233	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
234	C₂²×Dic₁₀₆	C₂³	1	4	yes	complemented
235	C₂×Q₈×D₅₃	—	4	4	no	—
236	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
237	C₂×Q₈×D₅₃	C₂³	1	4	yes	—
238	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
239	C₂×Q₈×D₅₃	C₂³	1	4	yes	complemented
240	C₂²×D₂₁₂	C₂³	1	4	yes	—
241	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
242	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
243	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
244	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
245	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
246	C₂×D₄×D₅₃	—	4	4	no	—
247	C₂×D₄×D₅₃	C₂³	1	2	yes	—
248	C₂×D₄×D₅₃	C₂³	1	4	yes	—
249	C₂×D₄×D₅₃	C₂³	1	4	yes	—
250	C₂×D₄×D₅₃	C₂³	1	4	yes	—
251	C₂×D₄×D₅₃	C₂³	1	4	yes	—
252	C₂×D₄×D₅₃	C₂³	1	4	yes	—
253	C₂×D₄×D₅₃	C₂³	1	2	yes	—
254	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
255	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
256	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
257	#13133216	C₂³	1	4	yes	complemented
258	#13133216	C₂³	1	4	yes	complemented
259	#13133216	C₂³	1	4	yes	complemented
260	#13133216	C₂³	1	4	yes	complemented
261	#13133216	C₂³	1	2	yes	complemented
262	#13133216	C₂³	1	2	yes	complemented
263	#13133215	C₂³	1	2	yes	complemented
264	#13133215	C₂³	1	2	yes	complemented
265	#13133215	C₂³	1	2	yes	complemented
266	#13133213	C₂³	1	4	yes	—
267	#13133213	C₂³	1	4	yes	—
268	#13133213	C₂³	1	2	yes	complemented
269	#13133212	C₂³	1	4	yes	complemented
270	#13133212	C₂³	1	4	yes	complemented
271	#13133212	C₂³	1	4	yes	complemented
272	#13133212	C₂³	1	4	yes	complemented
273	#13133212	C₂³	1	4	yes	complemented
274	#13133212	C₂³	1	4	yes	complemented
275	#13133212	C₂³	1	4	yes	complemented
276	#13133211	C₂³	1	4	yes	complemented
277	#13133211	C₂³	1	4	yes	complemented
278	#13133211	C₂³	1	4	yes	complemented
279	#13133210	C₂³	1	4	yes	complemented
280	#13133210	C₂³	1	4	yes	complemented
281	#13133210	C₂³	1	4	yes	complemented
282	#13133210	C₂³	1	4	yes	complemented
283	#13133210	C₂³	1	4	yes	complemented
284	#13133210	C₂³	1	4	yes	complemented
285	#13133210	C₂³	1	4	yes	complemented
286	#13133209	C₂³	1	2	yes	complemented
287	#13133207	C₂³	1	4	yes	complemented
288	#13133207	C₂³	1	4	yes	complemented
289	#13133206	C₂³	1	2	yes	—
290	#13133206	C₂³	1	2	yes	—
291	#13133206	C₂³	1	2	yes	—
292	#13133206	C₂³	1	2	yes	—
293	#13133206	C₂³	1	4	yes	complemented
294	#13133206	C₂³	1	2	yes	complemented
295	#13133206	C₂³	1	2	yes	complemented
296	#13133206	C₂³	1	4	yes	complemented
297	#13133205	C₂³	1	2	yes	—
298	#13133205	C₂³	1	2	yes	—
299	#13133205	C₂³	1	4	yes	—
300	#13133205	C₂³	1	4	yes	complemented
301	#13133205	C₂³	1	4	yes	complemented
302	#13133205	C₂³	1	2	yes	complemented
303	#13133204	C₂³	1	2	yes	—
304	#13133204	C₂³	1	2	yes	—
305	#13133204	C₂³	1	2	yes	—
306	#13133204	C₂³	1	2	yes	—
307	#13133204	C₂³	1	4	yes	complemented
308	#13133204	C₂³	1	4	yes	complemented
309	#13133203	C₂³	1	4	yes	—
310	#13133203	C₂³	1	4	yes	—
311	#13133203	C₂³	1	4	yes	—
312	#13133203	C₂³	1	4	yes	—
313	#13133203	C₂³	1	4	yes	—
314	#13133203	C₂³	1	4	yes	—
315	#13133203	C₂³	1	4	yes	—
316	#13133203	C₂³	1	4	yes	—
317	#13133203	C₂³	1	4	yes	—
318	#13133203	C₂³	1	4	yes	—
319	#13133203	C₂³	1	4	yes	complemented
320	#13133203	C₂³	1	4	yes	complemented
321	#13133203	C₂³	1	4	yes	complemented
322	#13133203	C₂³	1	4	yes	complemented
323	#13133203	C₂³	1	4	yes	complemented
324	#13133203	C₂³	1	4	yes	complemented
325	#13133203	C₂³	1	4	yes	complemented
326	#13133203	C₂³	1	4	yes	complemented
327	#13133203	C₂³	1	4	yes	complemented
328	#13133203	C₂³	1	4	yes	complemented
329	#13133203	C₂³	1	4	yes	complemented
330	#13133203	C₂³	1	4	yes	complemented
331	#13133203	C₂³	1	4	yes	complemented
332	#13133203	C₂³	1	4	yes	complemented
333	#13133202	C₂³	1	4	yes	—
334	#13133202	C₂³	1	4	yes	—
335	#13133202	C₂³	1	4	yes	—
336	#13133202	C₂³	1	4	yes	—
337	#13133202	C₂³	1	4	yes	complemented
338	#13133202	C₂³	1	4	yes	complemented
339	#13133202	C₂³	1	4	yes	complemented
340	#13133202	C₂³	1	4	yes	complemented
341	#13133202	C₂³	1	4	yes	complemented
342	#13133202	C₂³	1	4	yes	complemented
343	#13133201	C₂³	1	4	yes	—
344	#13133201	C₂³	1	4	yes	complemented
345	#13133201	C₂³	1	4	yes	complemented
346	#13133201	C₂³	1	4	yes	complemented
347	#13133200	C₂³	1	4	yes	—
348	#13133200	C₂³	1	4	yes	—
349	#13133200	C₂³	1	4	yes	complemented
350	#13133200	C₂³	1	4	yes	complemented
351	#13133200	C₂³	1	4	yes	complemented
352	#13133199	C₂³	1	4	yes	—
353	#13133199	C₂³	1	4	yes	—
354	#13133199	C₂³	1	4	yes	complemented
355	#13133199	C₂³	1	4	yes	complemented
356	#13133199	C₂³	1	4	yes	complemented
357	#13133199	C₂³	1	4	yes	complemented
358	#13133199	C₂³	1	4	yes	complemented
359	#13133199	C₂³	1	4	yes	complemented
360	#13133198	C₂³	1	4	yes	—
361	#13133198	C₂³	1	2	yes	—
362	#13133198	C₂³	1	2	yes	—
363	#13133198	C₂³	1	4	yes	complemented
364	#13133198	C₂³	1	4	yes	complemented
365	#13133198	C₂³	1	4	yes	complemented
366	#13133197	C₂³	1	4	yes	—
367	#13133197	C₂³	1	2	yes	—
368	#13133197	C₂³	1	4	yes	complemented
369	#13133197	C₂³	1	4	yes	complemented
370	#13133196	C₂³	1	2	yes	—
371	#13133196	C₂³	1	4	yes	complemented
372	#13133196	C₂³	1	4	yes	complemented
373	#13133195	C₂³	1	4	yes	—
374	#13133195	C₂³	1	4	yes	—
375	#13133195	C₂³	1	4	yes	—
376	#13133195	C₂³	1	4	yes	—
377	#13133195	C₂³	1	4	yes	—
378	#13133195	C₂³	1	4	yes	complemented
379	#13133195	C₂³	1	4	yes	complemented
380	#13133195	C₂³	1	4	yes	complemented
381	#13133195	C₂³	1	4	yes	complemented
382	#13133195	C₂³	1	4	yes	complemented
383	#13133195	C₂³	1	4	yes	complemented
384	#13133195	C₂³	1	4	yes	complemented
385	#13133195	C₂³	1	4	yes	complemented
386	#13133194	C₂³	1	4	yes	—
387	#13133194	C₂³	1	4	yes	complemented
388	#13133194	C₂³	1	4	yes	complemented
389	#13133194	C₂³	1	4	yes	complemented
390	#13133194	C₂³	1	4	yes	complemented
391	#13133194	C₂³	1	4	yes	complemented
392	#13133194	C₂³	1	4	yes	complemented
393	#13133194	C₂³	1	4	yes	complemented
394	#13133194	C₂³	1	4	yes	complemented
395	#13133193	C₂³	1	4	yes	—
396	#13133193	C₂³	1	2	yes	—
397	#13133193	C₂³	1	4	yes	complemented
398	#13133193	C₂³	1	4	yes	complemented
399	#13133193	C₂³	1	4	yes	complemented
400	#13133193	C₂³	1	4	yes	complemented
401	#13133192	C₂³	1	4	yes	—
402	#13133192	C₂³	1	4	yes	—
403	#13133192	C₂³	1	4	yes	—
404	#13133192	C₂³	1	2	yes	—
405	#13133192	C₂³	1	4	yes	complemented
406	#13133192	C₂³	1	4	yes	complemented
407	#13133191	C₂³	1	2	yes	—
408	#13133191	C₂³	1	4	yes	complemented
409	#13133191	C₂³	1	4	yes	complemented
410	#13133190	C₂³	1	4	yes	—
411	#13133190	C₂³	1	4	yes	—
412	#13133190	C₂³	1	4	yes	—
413	#13133190	C₂³	1	4	yes	—
414	#13133190	C₂³	1	4	yes	—
415	#13133190	C₂³	1	4	yes	—
416	#13133190	C₂³	1	4	yes	—
417	#13133190	C₂³	1	4	yes	—
418	#13133190	C₂³	1	4	yes	—
419	#13133190	C₂³	1	4	yes	complemented
420	#13133190	C₂³	1	4	yes	complemented
421	#13133190	C₂³	1	4	yes	complemented
422	#13133190	C₂³	1	4	yes	complemented
423	#13133189	C₂³	1	4	yes	—
424	#13133189	C₂³	1	4	yes	—
425	#13133189	C₂³	1	4	yes	—
426	#13133189	C₂³	1	4	yes	—
427	#13133189	C₂³	1	4	yes	—
428	#13133189	C₂³	1	4	yes	complemented
429	#13133189	C₂³	1	4	yes	complemented
430	#13133189	C₂³	1	4	yes	complemented
431	#13133189	C₂³	1	4	yes	complemented
432	#13133188	C₂³	1	4	yes	—
433	#13133188	C₂³	1	2	yes	—
434	#13133188	C₂³	1	4	yes	complemented
435	#13133188	C₂³	1	4	yes	complemented
436	#13133187	C₂³	1	4	yes	—
437	#13133187	C₂³	1	4	yes	—
438	#13133187	C₂³	1	4	yes	—
439	#13133187	C₂³	1	4	yes	—
440	#13133187	C₂³	1	4	yes	—
441	#13133187	C₂³	1	4	yes	—
442	#13133187	C₂³	1	4	yes	—
443	#13133187	C₂³	1	4	yes	—
444	#13133187	C₂³	1	4	yes	complemented
445	#13133187	C₂³	1	4	yes	complemented
446	#13133187	C₂³	1	4	yes	complemented
447	#13133186	C₂³	1	4	yes	—
448	#13133186	C₂³	1	4	yes	complemented
449	#13133185	C₂³	1	4	yes	—
450	#13133185	C₂³	1	4	yes	—
451	#13133185	C₂³	1	4	yes	—
452	#13133185	C₂³	1	2	yes	—
453	#13133185	C₂³	1	4	yes	—
454	#13133185	C₂³	1	4	yes	—
455	#13133185	C₂³	1	2	yes	—
456	#13133185	C₂³	1	4	yes	—
457	#13133185	C₂³	1	4	yes	complemented
458	#13133185	C₂³	1	4	yes	complemented
459	#13133185	C₂³	1	4	yes	complemented
460	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
461	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
462	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
463	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
464	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
465	#13133182	C₂³	1	4	yes	complemented
466	#13133182	C₂³	1	4	yes	complemented
467	#13133182	C₂³	1	4	yes	complemented
468	#13133182	C₂³	1	2	yes	complemented
469	#13133182	C₂³	1	4	yes	complemented
470	#13133182	C₂³	1	4	yes	complemented
471	C₄×D₂₁₂	C₂³	1	4	yes	—
472	C₄×D₂₁₂	C₂³	1	4	yes	—
473	C₄×D₂₁₂	C₂³	1	4	yes	—
474	C₄×D₂₁₂	C₂³	1	4	yes	complemented
475	C₄×D₂₁₂	C₂³	1	4	yes	complemented
476	C₄×D₂₁₂	C₂³	1	2	yes	complemented
477	D₄×Dic₅₃	C₂³	1	4	yes	—
478	D₄×Dic₅₃	C₂³	1	2	yes	complemented
479	D₄×Dic₅₃	C₂³	1	4	yes	complemented
480	D₄×Dic₅₃	C₂³	1	4	yes	complemented
481	#13133179	C₂³	1	4	yes	—
482	#13133179	C₂³	1	4	yes	—
483	#13133179	C₂³	1	4	yes	—
484	#13133179	C₂³	1	4	yes	—
485	#13133179	C₂³	1	4	yes	—
486	#13133179	C₂³	1	2	yes	complemented
487	#13133179	C₂³	1	4	yes	complemented
488	#13133179	C₂³	1	4	yes	complemented
489	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
490	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
491	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
492	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
493	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
494	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
495	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
496	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
497	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
498	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
499	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
500	#13133177	C₂³	1	4	yes	—
501	#13133177	C₂³	1	4	yes	—
502	#13133177	C₂³	1	4	yes	—
503	#13133177	C₂³	1	4	yes	—
504	#13133177	C₂³	1	4	yes	—
505	#13133177	C₂³	1	4	yes	—
506	#13133177	C₂³	1	4	yes	—
507	#13133177	C₂³	1	4	yes	—
508	#13133177	C₂³	1	4	yes	complemented
509	#13133177	C₂³	1	4	yes	complemented
510	#13133177	C₂³	1	4	yes	complemented
511	#13133177	C₂³	1	4	yes	complemented
512	#13133177	C₂³	1	4	yes	complemented
513	#13133177	C₂³	1	4	yes	complemented
514	#13133177	C₂³	1	4	yes	complemented
515	#13133176	C₂³	1	2	yes	—
516	#13133176	C₂³	1	4	yes	complemented
517	#13133175	C₂³	1	2	yes	—
518	#13133175	C₂³	1	2	yes	—
519	#13133175	C₂³	1	4	yes	complemented
520	#13133175	C₂³	1	4	yes	complemented
521	#13133175	C₂³	1	4	yes	complemented
522	#13133175	C₂³	1	4	yes	complemented
523	#13133174	C₂³	1	4	yes	—
524	#13133174	C₂³	1	4	yes	complemented
525	#13133174	C₂³	1	4	yes	complemented
526	#13133174	C₂³	1	4	yes	complemented
527	#13133173	C₂³	1	4	yes	—
528	#13133173	C₂³	1	4	yes	—
529	#13133173	C₂³	1	4	yes	complemented
530	#13133173	C₂³	1	4	yes	complemented
531	#13133173	C₂³	1	4	yes	complemented
532	#13133173	C₂³	1	4	yes	complemented
533	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	—
534	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
535	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
536	C₂×#11719921	C₂³	1	4	yes	—
537	C₂×#11719921	C₂³	1	4	yes	—
538	C₂×#11719921	C₂³	1	4	yes	—
539	C₂×#11719921	C₂³	1	4	yes	—
540	C₂×#11719921	C₂³	1	4	yes	complemented
541	C₂×#11719921	C₂³	1	4	yes	complemented
542	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
543	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
544	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
545	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
546	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
547	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
548	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
549	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
550	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
551	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
552	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
553	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
554	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
555	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
556	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
557	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
558	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
559	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
560	C₄²×D₅₃	C₂³	1	2	yes	—
561	C₄²×D₅₃	C₂³	1	2	yes	—
562	C₄²×D₅₃	C₂³	1	2	yes	—
563	C₄²×D₅₃	C₂³	1	2	yes	—
564	C₄²×D₅₃	C₂³	1	4	yes	complemented
565	C₂×#41×C₅₃	C₂³	1	2	yes	—
566	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
567	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
568	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
569	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
570	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
571	#126×C₅₃	C₂³	1	4	yes	complemented
572	#126×C₅₃	C₂³	1	4	yes	complemented
573	#126×C₅₃	C₂³	1	4	yes	complemented
574	#125×C₅₃	C₂³	1	2	yes	complemented
575	#124×C₅₃	C₂³	1	1	yes	characteristic
576	#124×C₅₃	C₂³	1	4	yes	—
577	#124×C₅₃	C₂³	1	1	yes	characteristic
578	#124×C₅₃	C₂³	1	1	yes	characteristic
579	#124×C₅₃	C₂³	1	1	yes	characteristic
580	#124×C₅₃	C₂³	1	4	yes	complemented
581	#124×C₅₃	C₂³	1	2	yes	complemented
582	#124×C₅₃	C₂³	1	2	yes	complemented
583	#124×C₅₃	C₂³	1	4	yes	complemented
584	#124×C₅₃	C₂³	1	2	yes	complemented
585	#123×C₅₃	C₂³	1	2	yes	—
586	#123×C₅₃	C₂³	1	2	yes	—
587	#123×C₅₃	C₂³	1	4	yes	—
588	#123×C₅₃	C₂³	1	4	yes	—
589	#123×C₅₃	C₂³	1	4	yes	complemented
590	#123×C₅₃	C₂³	1	4	yes	complemented
591	#123×C₅₃	C₂³	1	4	yes	complemented
592	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
593	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
594	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
595	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
596	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
597	#121×C₅₃	C₂³	1	2	yes	—
598	#121×C₅₃	C₂³	1	4	yes	—
599	#121×C₅₃	C₂³	1	4	yes	—
600	#121×C₅₃	C₂³	1	4	yes	complemented
601	#121×C₅₃	C₂³	1	4	yes	complemented
602	#120×C₅₃	C₂³	1	2	yes	—
603	#120×C₅₃	C₂³	1	4	yes	—
604	#120×C₅₃	C₂³	1	2	yes	—
605	#120×C₅₃	C₂³	1	4	yes	complemented
606	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
607	C₄×D₄×C₅₃	C₂³	1	4	yes	—
608	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
609	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
610	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
611	#117×C₅₃	C₂³	1	2	yes	—
612	#117×C₅₃	C₂³	1	4	yes	complemented
613	#117×C₅₃	C₂³	1	4	yes	complemented
614	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
615	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
616	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
617	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
618	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
619	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
620	C₂³×D₅₃	—	4	8	no	—
621	C₂³×D₅₃	—	4	4	no	—
622	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
623	C₂³×D₅₃	C₂⁴	1	4	yes	—
624	C₂³×D₅₃	C₂⁴	1	4	yes	—
625	C₂³×D₅₃	C₂⁴	1	2	yes	—
626	C₂³×D₅₃	C₂⁴	1	2	yes	—
627	C₂³×D₅₃	C₂⁴	1	4	yes	—
628	#41×C₅₃	—	4	4	no	—
629	C₂×Q₈×C₅₃	—	4	2	no	—
630	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
631	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
632	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
633	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
634	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
635	C₂×D₄×C₅₃	—	4	2	no	—
636	C₂×D₄×C₅₃	—	4	4	no	—
637	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
638	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
639	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
640	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
641	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
642	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
643	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
644	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
645	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
646	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
647	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
648	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
649	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
650	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
651	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
652	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
653	C₂×C₂²⋊D₅₃	—	2	8	no	—
654	C₂×C₂²⋊D₅₃	—	4	8	no	—
655	C₂×C₂²⋊D₅₃	—	4	8	no	—
656	C₂×C₂²⋊D₅₃	—	4	4	no	—
657	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
658	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
659	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
660	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
661	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
662	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
663	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
664	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
665	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
666	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
667	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
668	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
669	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
670	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
671	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
672	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
673	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
674	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
675	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
676	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
677	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
678	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
679	#11719949	—	4	4	no	—
680	Q₈×D₅₃	—	4	4	no	—
681	Q₈×D₅₃	—	4	8	no	—
682	Q₈×D₅₃	—	4	4	no	—
683	Q₈×D₅₃	—	4	8	no	—
684	#11719947	—	2	16	no	—
685	#11719947	—	4	8	no	—
686	#11719947	—	4	8	no	—
687	#11719947	—	4	4	no	—
688	#11719947	—	4	8	no	—
689	D₄×D₅₃	—	4	4	no	—
690	D₄×D₅₃	—	4	8	no	—
691	D₄×D₅₃	—	4	4	no	—
692	D₄×D₅₃	—	4	8	no	—
693	D₄×D₅₃	—	4	8	no	—
694	D₄×D₅₃	—	4	8	no	—
695	D₄×D₅₃	—	4	8	no	—
696	#11719945	—	4	8	no	—
697	#11719945	—	4	8	no	—
698	#11719945	—	4	8	no	—
699	#11719945	—	4	4	no	—
700	C₂×D₂₁₂	—	4	8	no	—
701	C₂×D₂₁₂	—	4	2	no	—
702	C₂×D₂₁₂	C₂⁴	1	4	yes	—
703	C₂×D₂₁₂	C₂⁴	1	4	yes	—
704	C₂×D₂₁₂	C₂⁴	1	4	yes	—
705	C₂×D₂₁₂	C₂⁴	1	2	yes	—
706	C₂×D₂₁₂	C₂⁴	1	4	yes	—
707	C₂×D₂₁₂	C₂⁴	1	2	yes	—
708	C₂×D₂₁₂	C₂⁴	1	2	yes	—
709	C₂×D₂₁₂	C₂⁴	1	4	yes	—
710	C₂×D₂₁₂	C₂⁴	1	2	yes	—
711	C₂×C₄×D₅₃	—	2	4	no	—
712	C₂×C₄×D₅₃	—	4	4	no	—
713	C₂×C₄×D₅₃	—	4	4	no	—
714	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
715	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
716	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
717	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
718	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
719	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
720	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
721	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
722	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
723	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
724	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
725	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
726	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
727	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
728	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
729	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
730	C₂×Dic₁₀₆	—	2	8	no	—
731	C₂×Dic₁₀₆	—	4	8	no	—
732	C₂×Dic₁₀₆	—	4	2	no	—
733	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
734	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
735	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
736	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
737	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
738	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
739	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
740	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
741	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
742	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
743	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
744	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
745	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
746	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
747	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
748	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
749	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
750	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
751	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
752	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
753	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
754	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
755	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
756	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
757	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
758	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
759	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
760	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
761	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
762	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
763	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
764	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
765	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
766	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
767	C₄²×C₅₃	C₂⁴	1	2	yes	—
768	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
769	C₄²×C₅₃	C₂⁴	1	2	yes	—
770	C₄²×C₅₃	C₂⁴	1	2	yes	—
771	C₄²×C₅₃	C₂⁴	1	4	yes	—
772	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
773	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
774	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
775	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
776	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
777	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
778	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
779	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
780	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
781	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
782	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
783	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
784	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
785	#11719921	C₂⁴	1	4	yes	—
786	#11719921	C₂⁴	1	4	yes	—
787	#11719921	C₂⁴	1	4	yes	—
788	#11719921	C₂⁴	1	4	yes	—
789	#11719921	C₂⁴	1	4	yes	—
790	#11719921	C₂⁴	1	4	yes	—
791	#11719921	C₂⁴	1	4	yes	—
792	#11719921	C₂⁴	1	4	yes	—
793	#11719921	C₂⁴	1	4	yes	—
794	#11719921	C₂⁴	1	4	yes	—
795	#11719921	C₂⁴	1	4	yes	—
796	#11719921	C₂⁴	1	4	yes	—
797	#11719921	C₂⁴	1	4	yes	—
798	#11719921	C₂⁴	1	4	yes	—
799	#11719921	C₂⁴	1	4	yes	—
800	#11719921	C₂⁴	1	4	yes	—
801	#11719921	C₂⁴	1	4	yes	—
802	#11719921	C₂⁴	1	4	yes	—
803	#11719921	C₂⁴	1	4	yes	—
804	#11719921	C₂⁴	1	4	yes	—
805	#11719921	C₂⁴	1	4	yes	—
806	#11719921	C₂⁴	1	4	yes	—
807	#11719921	C₂⁴	1	4	yes	—
808	#11719921	C₂⁴	1	4	yes	—
809	#11719921	C₂⁴	1	4	yes	—
810	#11719921	C₂⁴	1	4	yes	—
811	#11719921	C₂⁴	1	4	yes	—
812	#11719921	C₂⁴	1	4	yes	—
813	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
814	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
815	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
816	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
817	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
818	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
819	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
820	#11719919	C₂⁴	1	4	yes	—
821	#11719919	C₂⁴	1	4	yes	—
822	#11719919	C₂⁴	1	4	yes	—
823	#11719919	C₂⁴	1	4	yes	—
824	#11719919	C₂⁴	1	4	yes	—
825	#11719919	C₂⁴	1	4	yes	—
826	#11719919	C₂⁴	1	4	yes	—
827	#11719919	C₂⁴	1	4	yes	—
828	#11719919	C₂⁴	1	4	yes	—
829	#11719919	C₂⁴	1	4	yes	—
830	#11719919	C₂⁴	1	4	yes	—
831	#11719919	C₂⁴	1	4	yes	—
832	#11719919	C₂⁴	1	4	yes	—
833	#11719919	C₂⁴	1	4	yes	—
834	#11719919	C₂⁴	1	4	yes	—
835	#11719919	C₂⁴	1	4	yes	—
836	C₄×Dic₅₃	C₂⁴	1	2	yes	—
837	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
838	C₄×Dic₅₃	C₂⁴	1	2	yes	—
839	C₄×Dic₅₃	C₂⁴	1	2	yes	—
840	C₄×Dic₅₃	C₂⁴	1	2	yes	—
841	C₄×Dic₅₃	C₂⁴	1	2	yes	—
842	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
843	C₄×Dic₅₃	C₂⁴	1	4	yes	—
844	C₄×Dic₅₃	C₂⁴	1	4	yes	—
845	C₄×Dic₅₃	C₂⁴	1	4	yes	—
846	C₄×Dic₅₃	C₂⁴	1	4	yes	—
847	C₄×Dic₅₃	C₂⁴	1	4	yes	—
848	C₄×Dic₅₃	C₂⁴	1	4	yes	—
849	C₄×Dic₅₃	C₂⁴	1	4	yes	—
850	C₄×Dic₅₃	C₂⁴	1	2	yes	—
851	C₄×Dic₅₃	C₂⁴	1	2	yes	—
852	C₂³×C₅₃	—	2	4	no	—
853	C₂³×C₅₃	—	4	4	no	—
854	C₂³×C₅₃	—	4	2	no	—
855	C₂³×C₅₃	—	4	4	no	—
856	C₂³×C₅₃	C₂⁵	1	4	yes	—
857	C₂³×C₅₃	C₂⁵	1	2	yes	—
858	C₂³×C₅₃	C₂⁵	1	2	yes	—
859	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
860	C₂²×D₅₃	—	2	2	no	—
861	C₂²×D₅₃	—	2	4	no	—
862	C₂²×D₅₃	—	2	4	no	—
863	C₂²×D₅₃	—	2	8	no	—
864	C₂²×D₅₃	—	2	8	no	—
865	C₂²×D₅₃	—	4	4	no	—
866	C₂²×D₅₃	—	4	4	no	—
867	C₂²×D₅₃	—	4	4	no	—
868	C₂²×D₅₃	—	4	4	no	—
869	C₂²×D₅₃	—	4	4	no	—
870	C₂²×D₅₃	—	4	4	no	—
871	C₂²×D₅₃	—	4	2	no	—
872	C₂²×D₅₃	—	4	4	no	—
873	C₂²×D₅₃	—	4	4	no	—
874	C₂²×D₅₃	—	4	4	no	—
875	C₂²×D₅₃	—	8	16	no	—
876	C₂²×D₅₃	C₂⁵	1	4	yes	—
877	C₂²×D₅₃	C₂⁵	1	4	yes	—
878	C₂²×D₅₃	C₂⁵	1	2	yes	—
879	Q₈×C₅₃	—	4	1	no	—
880	Q₈×C₅₃	—	4	2	no	—
881	Q₈×C₅₃	—	4	1	no	—
882	Q₈×C₅₃	—	4	2	no	—
883	Q₈×C₅₃	—	4	2	no	—
884	D₄×C₅₃	—	2	8	no	—
885	D₄×C₅₃	—	4	1	no	—
886	D₄×C₅₃	—	4	2	no	—
887	D₄×C₅₃	—	4	1	no	—
888	D₄×C₅₃	—	4	4	no	—
889	D₄×C₅₃	—	4	4	no	—
890	D₄×C₅₃	—	4	4	no	—
891	D₄×C₅₃	—	4	2	no	—
892	D₄×C₅₃	—	4	2	no	—
893	C₂×C₄×C₅₃	—	2	4	no	—
894	C₂×C₄×C₅₃	—	2	2	no	—
895	C₂×C₄×C₅₃	—	4	4	no	—
896	C₂×C₄×C₅₃	—	4	2	no	—
897	C₂×C₄×C₅₃	—	4	4	no	—
898	C₂×C₄×C₅₃	—	4	2	no	—
899	C₂×C₄×C₅₃	—	4	4	no	—
900	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
901	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
902	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
903	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
904	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
905	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
906	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
907	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
908	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
909	C₂²⋊D₅₃	—	2	8	no	—
910	C₂²⋊D₅₃	—	2	8	no	—
911	C₂²⋊D₅₃	—	2	8	no	—
912	C₂²⋊D₅₃	—	2	8	no	—
913	C₂²⋊D₅₃	—	2	8	no	—
914	C₂²⋊D₅₃	—	2	8	no	—
915	C₂²⋊D₅₃	—	4	4	no	—
916	C₂²⋊D₅₃	—	4	4	no	—
917	C₂²⋊D₅₃	—	4	4	no	—
918	C₂²⋊D₅₃	—	4	4	no	—
919	C₂²⋊D₅₃	—	4	4	no	—
920	C₂²⋊D₅₃	—	4	4	no	—
921	C₂²⋊D₅₃	—	4	4	no	—
922	C₂²⋊D₅₃	—	4	4	no	—
923	C₂×Dic₅₃	—	2	4	no	—
924	C₂×Dic₅₃	—	2	8	no	—
925	C₂×Dic₅₃	—	4	4	no	—
926	C₂×Dic₅₃	—	4	2	no	—
927	C₂×Dic₅₃	—	4	2	no	—
928	C₂×Dic₅₃	—	4	4	no	—
929	C₂×Dic₅₃	—	4	4	no	—
930	C₂×Dic₅₃	H(5,𝔽₂)	1	4	yes	—
931	C₂×Dic₅₃	C₂⁵	1	4	yes	—
932	C₂×Dic₅₃	C₂⁵	1	4	yes	—
933	C₂×Dic₅₃	C₂⁵	1	2	yes	—
934	C₂×Dic₅₃	C₂⁵	1	4	yes	—
935	C₂×Dic₅₃	C₂⁵	1	4	yes	—
936	C₂×Dic₅₃	C₂⁵	1	2	yes	—
937	C₂×Dic₅₃	C₂⁵	1	2	yes	—
938	D₂₁₂	—	2	8	no	—
939	D₂₁₂	—	2	8	no	—
940	D₂₁₂	—	4	4	no	—
941	D₂₁₂	—	4	4	no	—
942	D₂₁₂	—	4	2	no	—
943	D₂₁₂	—	4	2	no	—
944	D₂₁₂	—	4	2	no	—
945	D₂₁₂	—	4	4	no	—
946	D₂₁₂	—	4	2	no	—
947	C₄×D₅₃	—	2	4	no	—
948	C₄×D₅₃	—	2	4	no	—
949	C₄×D₅₃	—	2	4	no	—
950	C₄×D₅₃	—	2	4	no	—
951	C₄×D₅₃	—	2	8	no	—
952	C₄×D₅₃	—	4	2	no	—
953	C₄×D₅₃	—	4	2	no	—
954	C₄×D₅₃	—	4	4	no	—
955	C₄×D₅₃	—	4	4	no	—
956	C₄×D₅₃	—	4	4	no	—
957	C₄×D₅₃	—	4	4	no	—
958	C₄×D₅₃	—	4	4	no	—
959	C₄×D₅₃	—	4	4	no	—
960	C₄×D₅₃	—	4	4	no	—
961	C₄×D₅₃	—	4	4	no	—
962	C₄×D₅₃	—	4	4	no	—
963	Dic₁₀₆	—	2	8	no	—
964	Dic₁₀₆	—	2	8	no	—
965	Dic₁₀₆	—	2	8	no	—
966	Dic₁₀₆	—	4	2	no	—
967	Dic₁₀₆	—	4	4	no	—
968	Dic₁₀₆	—	4	2	no	—
969	Dic₁₀₆	—	4	2	no	—
970	Dic₁₀₆	—	4	4	no	—
971	Dic₁₀₆	—	4	2	no	—
972	#62824	—	53	1	no	maximal, Sylow
973	C₂²×C₅₃	—	2	2	no	—
974	C₂²×C₅₃	—	2	4	no	—
975	C₂²×C₅₃	—	2	2	no	—
976	C₂²×C₅₃	—	2	2	no	—
977	C₂²×C₅₃	—	2	4	no	—
978	C₂²×C₅₃	—	2	4	no	—
979	C₂²×C₅₃	—	2	4	no	—
980	C₂²×C₅₃	—	2	4	no	—
981	C₂²×C₅₃	—	8	4	no	—
982	C₂²×C₅₃	—	16	2	no	—
983	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
984	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
985	C₂×D₅₃	—	2	8	no	—
986	C₂×D₅₃	—	2	2	no	—
987	C₂×D₅₃	—	2	2	no	—
988	C₂×D₅₃	—	2	4	no	—
989	C₂×D₅₃	—	2	4	no	—
990	C₂×D₅₃	—	2	4	no	—
991	C₂×D₅₃	—	2	4	no	—
992	C₂×D₅₃	—	2	4	no	—
993	C₂×D₅₃	—	2	4	no	—
994	C₂×D₅₃	—	8	8	no	—
995	C₂×D₅₃	—	8	8	no	—
996	C₂×D₅₃	—	8	4	no	—
997	C₂×D₅₃	—	16	4	no	—
998	C₂×D₅₃	—	16	2	no	—
999	C₂×D₅₃	#585	1	4	yes	—
1000	C₄×C₅₃	—	2	2	no	—
1001	C₄×C₅₃	—	2	2	no	—
1002	C₄×C₅₃	—	2	4	no	—
1003	C₄×C₅₃	—	2	1	no	—
1004	C₄×C₅₃	—	2	1	no	—
1005	C₄×C₅₃	—	2	2	no	—
1006	C₄×C₅₃	—	2	4	no	—
1007	C₄×C₅₃	—	2	2	no	—
1008	C₄×C₅₃	—	2	4	no	—
1009	Dic₅₃	—	2	4	no	—
1010	Dic₅₃	—	2	4	no	—
1011	Dic₅₃	—	2	2	no	—
1012	Dic₅₃	—	2	4	no	—
1013	Dic₅₃	—	2	4	no	—
1014	Dic₅₃	—	2	2	no	—
1015	Dic₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
1016	#3561	—	53	2	no	—
1017	#3561	—	53	2	no	—
1018	#3561	—	53	4	no	—
1019	#3558	—	53	2	no	—
1020	#3558	—	53	2	no	—
1021	#3558	—	53	4	no	—
1022	#3545	—	53	2	no	—
1023	#3545	—	53	2	no	—
1024	#3545	—	53	2	no	—
1025	#3545	—	53	1	no	—
1026	#3545	D₅₃	1	1	yes	characteristic, complemented
1027	#3514	—	53	4	no	—
1028	#3514	—	53	4	no	—
1029	#3514	—	53	4	no	—
1030	#3514	—	53	4	no	—
1031	#3510	—	53	4	no	—
1032	#3500	—	53	4	no	—
1033	#3490	—	53	4	no	—
1034	#3490	—	53	4	no	—
1035	#3486	—	53	2	no	—
1036	#3484	—	53	2	no	—
1037	#3444	—	53	2	no	—
1038	C₂²×#124	—	53	1	no	—
1039	C₂×C₅₃	—	2	2	no	—
1040	C₂×C₅₃	—	4	2	no	—
1041	C₂×C₅₃	—	4	2	no	—
1042	C₂×C₅₃	—	4	4	no	—
1043	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1044	C₂×C₅₃	C₂×#585	1	2	yes	—
1045	D₅₃	—	2	4	no	—
1046	D₅₃	—	4	4	no	—
1047	D₅₃	—	4	4	no	—
1048	C₂×2₋¹⁺⁴	—	53	2	no	—
1049	C₂×H(5,𝔽₂)	—	53	2	no	—
1050	C₂³×Q₈	—	53	1	no	—
1051	C₂³×D₄	—	53	1	no	—
1052	#563	—	53	2	no	—
1053	#563	—	53	2	no	—
1054	#563	—	53	1	no	—
1055	#563	—	53	2	no	—
1056	#563	C₂×D₅₃	1	1	yes	characteristic, complemented
1057	#562	—	53	2	no	—
1058	#562	—	53	2	no	—
1059	#562	—	53	2	no	—
1060	#562	—	53	4	no	—
1061	#562	—	53	4	no	—
1062	#562	C₂×D₅₃	1	2	yes	complemented
1063	H(3,𝔽₄)	—	53	1	no	—
1064	H(3,𝔽₄)	—	53	2	no	—
1065	H(3,𝔽₄)	—	53	2	no	—
1066	H(3,𝔽₄)	—	53	2	no	—
1067	H(3,𝔽₄)	C₂×D₅₃	1	1	yes	characteristic, complemented
1068	#559	—	53	4	no	—
1069	#559	—	53	4	no	—
1070	#559	—	53	4	no	—
1071	#559	—	53	4	no	—
1072	#556	—	53	4	no	—
1073	#556	—	53	4	no	—
1074	#556	—	53	4	no	—
1075	#556	—	53	4	no	—
1076	#555	—	53	2	no	—
1077	#555	—	53	2	no	—
1078	#555	—	53	2	no	—
1079	#555	—	53	4	no	—
1080	#555	—	53	4	no	—
1081	#555	C₂×D₅₃	1	2	yes	complemented
1082	#551	—	53	4	no	—
1083	#551	—	53	4	no	—
1084	#551	—	53	2	no	—
1085	#551	—	53	4	no	—
1086	#551	—	53	4	no	—
1087	#551	—	53	2	no	—
1088	#551	—	53	4	no	—
1089	#551	—	53	4	no	—
1090	#551	—	53	4	no	—
1091	#551	—	53	4	no	—
1092	#551	—	53	4	no	—
1093	#551	—	53	4	no	—
1094	#551	—	53	2	no	—
1095	#551	—	53	4	no	—
1096	#551	—	53	4	no	—
1097	#551	—	53	4	no	—
1098	#551	—	53	4	no	—
1099	#551	—	53	4	no	—
1100	#551	—	53	4	no	—
1101	#551	—	53	4	no	—
1102	#551	C₂×D₅₃	1	4	yes	complemented
1103	#551	C₂×D₅₃	1	2	yes	complemented
1104	D₄×Q₈	—	53	4	no	—
1105	D₄×Q₈	—	53	4	no	—
1106	D₄×Q₈	—	53	4	no	—
1107	D₄×Q₈	—	53	4	no	—
1108	#548	—	53	4	no	—
1109	#548	—	53	4	no	—
1110	#548	—	53	4	no	—
1111	#548	—	53	4	no	—
1112	#548	—	53	4	no	—
1113	#548	—	53	4	no	—
1114	#548	—	53	4	no	—
1115	#548	—	53	4	no	—
1116	#546	—	53	4	no	—
1117	#546	—	53	4	no	—
1118	#546	—	53	4	no	—
1119	#546	—	53	4	no	—
1120	#546	—	53	4	no	—
1121	#546	—	53	4	no	—
1122	#546	—	53	4	no	—
1123	#546	—	53	4	no	—
1124	#546	—	53	4	no	—
1125	#546	—	53	4	no	—
1126	#546	—	53	4	no	—
1127	#546	—	53	4	no	—
1128	#546	—	53	4	no	—
1129	#546	—	53	4	no	—
1130	#546	—	53	4	no	—
1131	#546	—	53	4	no	—
1132	#546	—	53	4	no	—
1133	#546	—	53	4	no	—
1134	#546	—	53	4	no	—
1135	#546	—	53	4	no	—
1136	#546	—	53	4	no	—
1137	#546	—	53	4	no	—
1138	#546	—	53	4	no	—
1139	#546	C₂×D₅₃	1	4	yes	complemented
1140	D₄²	—	53	4	no	—
1141	D₄²	—	53	4	no	—
1142	D₄²	—	53	4	no	—
1143	D₄²	—	53	4	no	—
1144	#543	—	53	4	no	—
1145	#543	—	53	4	no	—
1146	#542	—	53	4	no	—
1147	#542	—	53	4	no	—
1148	#542	—	53	4	no	—
1149	#542	—	53	4	no	—
1150	#542	—	53	4	no	—
1151	#542	—	53	4	no	—
1152	#542	—	53	4	no	—
1153	#542	—	53	4	no	—
1154	#542	—	53	4	no	—
1155	#542	—	53	4	no	—
1156	#542	—	53	4	no	—
1157	#542	C₂×D₅₃	1	4	yes	complemented
1158	#538	—	53	4	no	—
1159	#538	—	53	4	no	—
1160	#538	—	53	4	no	—
1161	#538	—	53	4	no	—
1162	#538	—	53	4	no	—
1163	#538	—	53	4	no	—
1164	#538	—	53	4	no	—
1165	#538	—	53	4	no	—
1166	#538	—	53	4	no	—
1167	#538	—	53	4	no	—
1168	#538	—	53	4	no	—
1169	#538	—	53	4	no	—
1170	#538	—	53	4	no	—
1171	#538	—	53	4	no	—
1172	#538	—	53	4	no	—
1173	#538	C₂×D₅₃	1	4	yes	complemented
1174	#536	—	53	2	no	—
1175	#536	—	53	4	no	—
1176	#536	—	53	4	no	—
1177	#536	—	53	4	no	—
1178	#536	—	53	4	no	—
1179	#536	C₂×D₅₃	1	2	yes	complemented
1180	#535	—	53	4	no	—
1181	#535	—	53	4	no	—
1182	#535	—	53	4	no	—
1183	#534	—	53	2	no	—
1184	#534	—	53	4	no	—
1185	#534	—	53	4	no	—
1186	#534	—	53	4	no	—
1187	#534	C₂×D₅₃	1	2	yes	complemented
1188	#533	—	53	2	no	—
1189	#533	—	53	2	no	—
1190	#533	—	53	2	no	—
1191	#532	—	53	2	no	—
1192	#532	—	53	2	no	—
1193	#532	—	53	4	no	—
1194	#532	—	53	2	no	—
1195	#532	—	53	4	no	—
1196	#529	—	53	4	no	—
1197	#529	—	53	4	no	—
1198	#529	—	53	4	no	—
1199	#529	—	53	2	no	—
1200	#529	—	53	2	no	—
1201	#529	—	53	4	no	—
1202	#529	—	53	4	no	—
1203	#529	—	53	4	no	—
1204	#529	—	53	4	no	—
1205	#529	—	53	4	no	—
1206	#529	—	53	2	no	—
1207	#529	C₂×D₅₃	1	2	yes	complemented
1208	C₂×#124	—	53	1	no	—
1209	C₂×#124	—	53	1	no	—
1210	C₂×#124	—	53	2	no	—
1211	C₂×#124	—	53	2	no	—
1212	C₂×#124	—	53	4	no	—
1213	C₂×#124	—	53	2	no	—
1214	C₂×#124	—	53	2	no	—
1215	C₂×#124	—	53	4	no	—
1216	C₂×#124	—	53	4	no	—
1217	C₂×#124	—	53	4	no	—
1218	C₂×#124	—	53	4	no	—
1219	C₂×#124	—	53	1	no	—
1220	C₂×#124	C₂×D₅₃	1	1	yes	characteristic, complemented
1221	#525	—	53	2	no	—
1222	#525	—	53	4	no	—
1223	#525	—	53	4	no	—
1224	#525	—	53	2	no	—
1225	#525	—	53	2	no	—
1226	#525	—	53	4	no	—
1227	#525	—	53	2	no	—
1228	C₂×#120	—	53	2	no	—
1229	C₂×#120	—	53	4	no	—
1230	C₂×#120	—	53	2	no	—
1231	#519	—	53	2	no	—
1232	#518	—	53	4	no	—
1233	#518	—	53	4	no	—
1234	#518	—	53	4	no	—
1235	#518	—	53	2	no	—
1236	#518	—	53	4	no	—
1237	C₄×#41	—	53	2	no	—
1238	C₄×#41	—	53	4	no	—
1239	C₄×#41	—	53	2	no	—
1240	C₄×#41	—	53	4	no	—
1241	C₂²×C₂²⋊C₄	—	53	4	no	—
1242	C₂²×C₄²	—	53	1	no	—
1243	C₅₃	#62824	1	1	yes	characteristic, complemented, Sylow
1244	C₂⁵	—	53	2	no	—
1245	2₋¹⁺⁴	—	212	8	no	—
1246	H(5,𝔽₂)	—	212	8	no	—
1247	C₂×#41	—	53	2	no	—
1248	C₂×#41	—	53	4	no	—
1249	C₂×#41	—	53	2	no	—
1250	C₂×#41	—	53	4	no	—
1251	C₂×#41	—	53	4	no	—
1252	C₂×#41	—	53	4	no	—
1253	C₂×#41	—	53	4	no	—
1254	C₂×#41	—	53	2	no	—
1255	C₂×#41	—	53	4	no	—
1256	C₂×#41	—	53	4	no	—
1257	C₂×#41	C₂²×D₅₃	1	2	yes	—
1258	C₂²×Q₈	—	53	2	no	—
1259	C₂²×Q₈	—	53	4	no	—
1260	C₂²×Q₈	—	53	2	no	—
1261	C₂²×Q₈	—	53	4	no	—
1262	C₂²×Q₈	—	53	2	no	—
1263	C₂²×Q₈	—	53	1	no	—
1264	C₂²×Q₈	—	53	4	no	—
1265	C₂²×Q₈	—	212	4	no	—
1266	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1267	C₂²×D₄	—	53	2	no	—
1268	C₂²×D₄	—	53	4	no	—
1269	C₂²×D₄	—	53	2	no	—
1270	C₂²×D₄	—	53	4	no	—
1271	C₂²×D₄	—	53	4	no	—
1272	C₂²×D₄	—	53	4	no	—
1273	C₂²×D₄	—	53	4	no	—
1274	C₂²×D₄	—	53	2	no	—
1275	C₂²×D₄	—	53	4	no	—
1276	C₂²×D₄	—	53	2	no	—
1277	C₂²×D₄	—	53	4	no	—
1278	C₂²×D₄	—	53	4	no	—
1279	C₂²×D₄	—	53	1	no	—
1280	C₂²×D₄	—	212	4	no	—
1281	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1282	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1283	C₂³×C₄	—	53	1	no	—
1284	C₂³×C₄	—	53	2	no	—
1285	C₂³×C₄	—	53	2	no	—
1286	C₄⋊Q₈	—	53	2	no	—
1287	C₄⋊Q₈	—	53	2	no	—
1288	C₄⋊Q₈	—	53	2	no	—
1289	C₄⋊Q₈	—	53	2	no	—
1290	C₄⋊Q₈	—	53	2	no	—
1291	C₄⋊Q₈	—	53	4	no	—
1292	C₄⋊Q₈	—	53	4	no	—
1293	C₄⋊Q₈	—	53	4	no	—
1294	C₄⋊Q₈	—	53	4	no	—
1295	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1296	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1297	#127	—	53	2	no	—
1298	#127	—	53	4	no	—
1299	#127	—	53	4	no	—
1300	#126	—	53	4	no	—
1301	#126	—	53	4	no	—
1302	#126	—	53	4	no	—
1303	#126	—	53	4	no	—
1304	#126	—	53	4	no	—
1305	#126	—	53	4	no	—
1306	#126	—	53	4	no	—
1307	#126	—	53	4	no	—
1308	#126	—	53	4	no	—
1309	#126	—	53	4	no	—
1310	#126	—	53	4	no	—
1311	#126	—	53	4	no	—
1312	#126	—	53	4	no	—
1313	#126	—	53	4	no	—
1314	#126	—	53	4	no	—
1315	#126	—	53	4	no	—
1316	#126	—	53	4	no	—
1317	#126	C₂²×D₅₃	1	4	yes	complemented
1318	#126	C₂²×D₅₃	1	4	yes	complemented
1319	#126	C₂²×D₅₃	1	4	yes	complemented
1320	#125	—	53	4	no	—
1321	#125	—	53	4	no	—
1322	#125	—	53	2	no	—
1323	#125	C₂²×D₅₃	1	2	yes	complemented
1324	#124	—	53	2	no	—
1325	#124	—	53	2	no	—
1326	#124	—	53	2	no	—
1327	#124	—	53	2	no	—
1328	#124	—	53	4	no	—
1329	#124	—	53	2	no	—
1330	#124	—	53	2	no	—
1331	#124	—	53	4	no	—
1332	#124	—	53	2	no	—
1333	#124	—	53	2	no	—
1334	#124	—	53	2	no	—
1335	#124	—	53	2	no	—
1336	#124	—	53	4	no	—
1337	#124	—	53	4	no	—
1338	#124	—	53	4	no	—
1339	#124	—	53	4	no	—
1340	#124	—	53	4	no	—
1341	#124	—	53	4	no	—
1342	#124	—	53	4	no	—
1343	#124	—	53	4	no	—
1344	#124	—	53	4	no	—
1345	#124	—	53	4	no	—
1346	#124	—	53	4	no	—
1347	#124	—	53	4	no	—
1348	#124	—	53	4	no	—
1349	#124	—	53	4	no	—
1350	#124	—	53	4	no	—
1351	#124	—	53	4	no	—
1352	#124	—	53	4	no	—
1353	#124	—	53	4	no	—
1354	#124	—	53	4	no	—
1355	#124	—	53	4	no	—
1356	#124	—	53	4	no	—
1357	#124	—	53	4	no	—
1358	#124	—	53	4	no	—
1359	#124	—	53	4	no	—
1360	#124	—	53	4	no	—
1361	#124	—	53	4	no	—
1362	#124	—	53	4	no	—
1363	#124	—	53	2	no	—
1364	#124	—	53	2	no	—
1365	#124	—	53	4	no	—
1366	#124	—	53	2	no	—
1367	#124	—	53	4	no	—
1368	#124	C₂²×D₅₃	1	4	yes	—
1369	#124	C₂²×D₅₃	1	1	yes	characteristic
1370	#124	C₂²×D₅₃	1	1	yes	characteristic
1371	#124	C₂²×D₅₃	1	1	yes	characteristic
1372	#124	C₂²×D₅₃	1	1	yes	characteristic
1373	#124	C₂²×D₅₃	1	4	yes	complemented
1374	#124	C₂²×D₅₃	1	2	yes	complemented
1375	#124	C₂²×D₅₃	1	2	yes	complemented
1376	#124	C₂²×D₅₃	1	2	yes	complemented
1377	#124	C₂²×D₅₃	1	4	yes	complemented
1378	#123	—	53	4	no	—
1379	#123	—	53	4	no	—
1380	#123	—	53	4	no	—
1381	#123	—	53	2	no	—
1382	#123	—	53	2	no	—
1383	#123	—	53	4	no	—
1384	#123	—	53	4	no	—
1385	#123	—	53	4	no	—
1386	#123	—	53	4	no	—
1387	#123	—	53	4	no	—
1388	#123	—	53	4	no	—
1389	#123	—	53	4	no	—
1390	#123	—	53	4	no	—
1391	#123	—	53	4	no	—
1392	#123	—	53	4	no	—
1393	#123	—	53	4	no	—
1394	#123	—	53	4	no	—
1395	#123	—	53	4	no	—
1396	#123	—	53	4	no	—
1397	#123	—	53	4	no	—
1398	#123	—	53	4	no	—
1399	#123	—	53	4	no	—
1400	#123	—	53	4	no	—
1401	#123	—	53	4	no	—
1402	#123	—	53	4	no	—
1403	#123	—	53	4	no	—
1404	#123	—	53	4	no	—
1405	#123	—	53	4	no	—
1406	#123	—	53	4	no	—
1407	#123	—	53	4	no	—
1408	#123	—	53	4	no	—
1409	#123	—	53	4	no	—
1410	#123	—	53	4	no	—
1411	#123	C₂²×D₅₃	1	4	yes	—
1412	#123	C₂²×D₅₃	1	4	yes	—
1413	#123	C₂²×D₅₃	1	2	yes	—
1414	#123	C₂²×D₅₃	1	2	yes	—
1415	#123	C₂²×D₅₃	1	4	yes	complemented
1416	#123	C₂²×D₅₃	1	4	yes	complemented
1417	#123	C₂²×D₅₃	1	4	yes	complemented
1418	C₂²⋊Q₈	—	53	2	no	—
1419	C₂²⋊Q₈	—	53	4	no	—
1420	C₂²⋊Q₈	—	53	4	no	—
1421	C₂²⋊Q₈	—	53	4	no	—
1422	C₂²⋊Q₈	—	53	4	no	—
1423	C₂²⋊Q₈	—	53	4	no	—
1424	C₂²⋊Q₈	—	53	2	no	—
1425	C₂²⋊Q₈	—	53	4	no	—
1426	C₂²⋊Q₈	—	53	4	no	—
1427	C₂²⋊Q₈	—	53	4	no	—
1428	C₂²⋊Q₈	—	53	2	no	—
1429	C₂²⋊Q₈	—	53	4	no	—
1430	C₂²⋊Q₈	—	53	4	no	—
1431	C₂²⋊Q₈	—	53	4	no	—
1432	C₂²⋊Q₈	—	53	4	no	—
1433	C₂²⋊Q₈	—	53	4	no	—
1434	C₂²⋊Q₈	—	53	4	no	—
1435	C₂²⋊Q₈	—	53	4	no	—
1436	C₂²⋊Q₈	—	53	4	no	—
1437	C₂²⋊Q₈	—	53	4	no	—
1438	C₂²⋊Q₈	—	53	4	no	—
1439	C₂²⋊Q₈	—	53	4	no	—
1440	C₂²⋊Q₈	—	53	4	no	—
1441	C₂²⋊Q₈	—	53	4	no	—
1442	C₂²⋊Q₈	—	53	4	no	—
1443	C₂²⋊Q₈	—	53	4	no	—
1444	C₂²⋊Q₈	—	53	4	no	—
1445	C₂²⋊Q₈	—	53	4	no	—
1446	C₂²⋊Q₈	—	53	4	no	—
1447	C₂²⋊Q₈	—	53	4	no	—
1448	C₂²⋊Q₈	—	53	4	no	—
1449	C₂²⋊Q₈	—	53	4	no	—
1450	C₂²⋊Q₈	—	53	4	no	—
1451	C₂²⋊Q₈	—	53	4	no	—
1452	C₂²⋊Q₈	—	53	4	no	—
1453	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1454	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1455	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1456	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1457	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1458	#121	—	53	2	no	—
1459	#121	—	53	4	no	—
1460	#121	—	53	4	no	—
1461	#121	—	53	4	no	—
1462	#121	—	53	4	no	—
1463	#121	—	53	4	no	—
1464	#121	—	53	4	no	—
1465	#121	—	53	4	no	—
1466	#121	—	53	4	no	—
1467	#121	—	53	4	no	—
1468	#121	—	53	4	no	—
1469	#121	—	53	4	no	—
1470	#121	—	53	4	no	—
1471	#121	—	53	2	no	—
1472	#121	—	53	4	no	—
1473	#121	—	53	4	no	—
1474	#121	—	53	2	no	—
1475	#121	—	53	4	no	—
1476	#121	—	53	4	no	—
1477	#121	—	53	4	no	—
1478	#121	—	53	4	no	—
1479	#121	—	53	4	no	—
1480	#121	—	53	4	no	—
1481	#121	—	53	4	no	—
1482	#121	—	53	4	no	—
1483	#121	—	53	4	no	—
1484	#121	—	53	4	no	—
1485	#121	—	53	4	no	—
1486	#121	—	53	4	no	—
1487	#121	—	53	4	no	—
1488	#121	—	53	4	no	—
1489	#121	—	53	4	no	—
1490	#121	—	53	4	no	—
1491	#121	—	53	4	no	—
1492	#121	—	53	4	no	—
1493	#121	C₂²×D₅₃	1	2	yes	—
1494	#121	C₂²×D₅₃	1	4	yes	—
1495	#121	C₂²×D₅₃	1	4	yes	—
1496	#121	C₂²×D₅₃	1	4	yes	complemented
1497	#121	C₂²×D₅₃	1	4	yes	complemented
1498	#120	—	53	4	no	—
1499	#120	—	53	4	no	—
1500	#120	—	53	4	no	—
1501	#120	—	53	4	no	—
1502	#120	—	53	4	no	—
1503	#120	—	53	4	no	—
1504	#120	—	53	4	no	—
1505	#120	—	53	4	no	—
1506	#120	—	53	4	no	—
1507	#120	—	53	4	no	—
1508	#120	—	53	4	no	—
1509	#120	—	53	2	no	—
1510	#120	—	53	2	no	—
1511	#120	—	53	4	no	—
1512	#120	—	53	4	no	—
1513	#120	—	53	4	no	—
1514	#120	—	53	4	no	—
1515	#120	—	53	4	no	—
1516	#120	—	53	4	no	—
1517	#120	—	53	4	no	—
1518	#120	—	53	4	no	—
1519	#120	—	53	4	no	—
1520	#120	—	53	4	no	—
1521	#120	—	53	4	no	—
1522	#120	C₂²×D₅₃	1	4	yes	—
1523	#120	C₂²×D₅₃	1	2	yes	—
1524	#120	C₂²×D₅₃	1	2	yes	—
1525	#120	C₂²×D₅₃	1	4	yes	complemented
1526	C₄×Q₈	—	53	2	no	—
1527	C₄×Q₈	—	53	4	no	—
1528	C₄×Q₈	—	53	4	no	—
1529	C₄×Q₈	—	53	2	no	—
1530	C₄×Q₈	—	53	4	no	—
1531	C₄×Q₈	—	53	4	no	—
1532	C₄×Q₈	—	53	4	no	—
1533	C₄×Q₈	—	53	2	no	—
1534	C₄×Q₈	—	53	4	no	—
1535	C₄×Q₈	—	53	4	no	—
1536	C₄×Q₈	—	53	4	no	—
1537	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1538	C₄×D₄	—	53	4	no	—
1539	C₄×D₄	—	53	2	no	—
1540	C₄×D₄	—	53	4	no	—
1541	C₄×D₄	—	53	4	no	—
1542	C₄×D₄	—	53	4	no	—
1543	C₄×D₄	—	53	4	no	—
1544	C₄×D₄	—	53	4	no	—
1545	C₄×D₄	—	53	4	no	—
1546	C₄×D₄	—	53	4	no	—
1547	C₄×D₄	—	53	4	no	—
1548	C₄×D₄	—	53	4	no	—
1549	C₄×D₄	—	53	4	no	—
1550	C₄×D₄	—	53	4	no	—
1551	C₄×D₄	—	53	4	no	—
1552	C₄×D₄	—	53	4	no	—
1553	C₄×D₄	—	53	4	no	—
1554	C₄×D₄	—	53	4	no	—
1555	C₄×D₄	—	53	4	no	—
1556	C₄×D₄	—	53	2	no	—
1557	C₄×D₄	—	53	4	no	—
1558	C₄×D₄	—	53	4	no	—
1559	C₄×D₄	—	53	4	no	—
1560	C₄×D₄	—	53	4	no	—
1561	C₄×D₄	—	53	4	no	—
1562	C₄×D₄	—	53	4	no	—
1563	C₄×D₄	—	53	4	no	—
1564	C₄×D₄	—	53	4	no	—
1565	C₄×D₄	—	53	4	no	—
1566	C₄×D₄	—	53	4	no	—
1567	C₄×D₄	—	53	4	no	—
1568	C₄×D₄	—	53	4	no	—
1569	C₄×D₄	—	53	4	no	—
1570	C₄×D₄	—	53	4	no	—
1571	C₄×D₄	—	53	4	no	—
1572	C₄×D₄	—	53	4	no	—
1573	C₄×D₄	—	53	4	no	—
1574	C₄×D₄	—	53	4	no	—
1575	C₄×D₄	—	53	4	no	—
1576	C₄×D₄	—	53	4	no	—
1577	C₄×D₄	—	53	2	no	—
1578	C₄×D₄	—	53	4	no	—
1579	C₄×D₄	—	53	4	no	—
1580	C₄×D₄	—	53	4	no	—
1581	C₄×D₄	—	53	4	no	—
1582	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1583	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1584	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1585	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1586	#117	—	53	4	no	—
1587	#117	—	53	2	no	—
1588	#117	—	53	2	no	—
1589	#117	—	53	2	no	—
1590	#117	—	53	4	no	—
1591	#117	—	53	4	no	—
1592	#117	—	53	4	no	—
1593	#117	—	53	4	no	—
1594	#117	—	53	4	no	—
1595	#117	—	53	4	no	—
1596	#117	—	53	4	no	—
1597	#117	—	53	4	no	—
1598	#117	—	53	4	no	—
1599	#117	—	53	4	no	—
1600	#117	—	53	4	no	—
1601	#117	—	53	4	no	—
1602	#117	—	53	4	no	—
1603	#117	—	53	4	no	—
1604	#117	C₂²×D₅₃	1	2	yes	—
1605	#117	C₂²×D₅₃	1	4	yes	complemented
1606	#117	C₂²×D₅₃	1	4	yes	complemented
1607	C₂×C₂²⋊C₄	—	53	4	no	—
1608	C₂×C₂²⋊C₄	—	53	2	no	—
1609	C₂×C₂²⋊C₄	—	53	4	no	—
1610	C₂×C₂²⋊C₄	—	53	4	no	—
1611	C₂×C₂²⋊C₄	—	53	4	no	—
1612	C₂×C₂²⋊C₄	—	53	4	no	—
1613	C₂×C₂²⋊C₄	—	53	4	no	—
1614	C₂×C₂²⋊C₄	—	53	4	no	—
1615	C₂×C₂²⋊C₄	—	53	4	no	—
1616	C₂×C₂²⋊C₄	—	53	4	no	—
1617	C₂×C₂²⋊C₄	—	53	4	no	—
1618	C₂×C₂²⋊C₄	—	53	4	no	—
1619	C₂×C₂²⋊C₄	—	53	4	no	—
1620	C₂×C₂²⋊C₄	—	53	4	no	—
1621	C₂×C₂²⋊C₄	—	53	4	no	—
1622	C₂×C₂²⋊C₄	—	53	4	no	—
1623	C₂×C₂²⋊C₄	—	53	4	no	—
1624	C₂×C₂²⋊C₄	—	53	4	no	—
1625	C₂×C₂²⋊C₄	—	53	4	no	—
1626	C₂×C₂²⋊C₄	—	53	4	no	—
1627	C₂×C₂²⋊C₄	—	53	4	no	—
1628	C₂×C₂²⋊C₄	—	53	4	no	—
1629	C₂×C₂²⋊C₄	—	53	4	no	—
1630	C₂×C₂²⋊C₄	—	53	4	no	—
1631	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	—
1632	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1633	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
1634	C₂×C₄²	—	53	4	no	—
1635	C₂×C₄²	—	53	2	no	—
1636	C₂×C₄²	—	53	1	no	—
1637	C₂×C₄²	—	53	4	no	—
1638	C₂×C₄²	—	53	2	no	—
1639	C₂×C₄²	—	53	2	no	—
1640	C₂×C₄²	—	53	2	no	—
1641	C₂×C₄²	—	53	2	no	—
1642	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1643	C₂⁴	—	53	1	no	—
1644	C₂⁴	—	53	4	no	—
1645	C₂⁴	—	53	4	no	—
1646	C₂⁴	—	53	2	no	—
1647	C₂⁴	—	53	4	no	—
1648	C₂⁴	—	53	2	no	—
1649	C₂⁴	—	212	4	no	—
1650	C₂⁴	—	212	8	no	—
1651	C₂⁴	C₂³×D₅₃	1	2	yes	—
1652	C₂⁴	C₂³×D₅₃	1	2	yes	—
1653	#41	—	4	4	no	—
1654	#41	—	106	16	no	—
1655	#41	—	212	4	no	—
1656	#41	—	212	8	no	—
1657	#41	—	212	8	no	—
1658	#41	—	212	8	no	—
1659	#41	—	212	8	no	—
1660	#41	—	212	4	no	—
1661	#41	—	212	8	no	—
1662	#41	—	212	8	no	—
1663	#41	—	212	4	no	—
1664	C₂×Q₈	—	4	2	no	—
1665	C₂×Q₈	—	53	4	no	—
1666	C₂×Q₈	—	53	4	no	—
1667	C₂×Q₈	—	53	4	no	—
1668	C₂×Q₈	—	53	4	no	—
1669	C₂×Q₈	—	53	2	no	—
1670	C₂×Q₈	—	53	4	no	—
1671	C₂×Q₈	—	53	2	no	—
1672	C₂×Q₈	—	53	2	no	—
1673	C₂×Q₈	—	53	2	no	—
1674	C₂×Q₈	—	106	8	no	—
1675	C₂×Q₈	—	212	2	no	—
1676	C₂×Q₈	—	212	8	no	—
1677	C₂×Q₈	—	212	4	no	—
1678	C₂×Q₈	—	212	8	no	—
1679	C₂×Q₈	—	212	4	no	—
1680	C₂×Q₈	—	212	8	no	—
1681	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1682	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1683	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
1684	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1685	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
1686	C₂×D₄	—	4	2	no	—
1687	C₂×D₄	—	4	4	no	—
1688	C₂×D₄	—	53	4	no	—
1689	C₂×D₄	—	53	4	no	—
1690	C₂×D₄	—	53	4	no	—
1691	C₂×D₄	—	53	4	no	—
1692	C₂×D₄	—	53	4	no	—
1693	C₂×D₄	—	53	4	no	—
1694	C₂×D₄	—	53	4	no	—
1695	C₂×D₄	—	53	4	no	—
1696	C₂×D₄	—	53	4	no	—
1697	C₂×D₄	—	53	4	no	—
1698	C₂×D₄	—	53	4	no	—
1699	C₂×D₄	—	53	4	no	—
1700	C₂×D₄	—	53	4	no	—
1701	C₂×D₄	—	53	4	no	—
1702	C₂×D₄	—	53	4	no	—
1703	C₂×D₄	—	53	4	no	—
1704	C₂×D₄	—	53	2	no	—
1705	C₂×D₄	—	53	4	no	—
1706	C₂×D₄	—	53	4	no	—
1707	C₂×D₄	—	53	2	no	—
1708	C₂×D₄	—	53	4	no	—
1709	C₂×D₄	—	53	2	no	—
1710	C₂×D₄	—	53	2	no	—
1711	C₂×D₄	—	106	8	no	—
1712	C₂×D₄	—	212	2	no	—
1713	C₂×D₄	—	212	8	no	—
1714	C₂×D₄	—	212	4	no	—
1715	C₂×D₄	—	212	8	no	—
1716	C₂×D₄	—	212	4	no	—
1717	C₂×D₄	—	212	8	no	—
1718	C₂×D₄	—	212	8	no	—
1719	C₂×D₄	—	212	8	no	—
1720	C₂×D₄	—	212	8	no	—
1721	C₂×D₄	—	212	8	no	—
1722	C₂×D₄	—	212	4	no	—
1723	C₂×D₄	—	212	8	no	—
1724	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1725	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1726	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1727	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1728	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1729	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1730	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
1731	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1732	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
1733	C₂²×C₄	—	53	1	no	—
1734	C₂²×C₄	—	53	4	no	—
1735	C₂²×C₄	—	53	2	no	—
1736	C₂²×C₄	—	53	2	no	—
1737	C₂²×C₄	—	53	4	no	—
1738	C₂²×C₄	—	53	4	no	—
1739	C₂²×C₄	—	53	4	no	—
1740	C₂²×C₄	—	53	2	no	—
1741	C₂²×C₄	—	53	2	no	—
1742	C₂²×C₄	—	53	2	no	—
1743	C₂²×C₄	—	53	2	no	—
1744	C₂²×C₄	—	53	2	no	—
1745	C₂²×C₄	—	53	4	no	—
1746	C₂²×C₄	—	53	2	no	—
1747	C₂²×C₄	—	53	2	no	—
1748	C₂²×C₄	—	53	4	no	—
1749	C₂²×C₄	—	53	4	no	—
1750	C₂²×C₄	—	53	4	no	—
1751	C₂²×C₄	—	53	4	no	—
1752	C₂²×C₄	—	53	4	no	—
1753	C₂²×C₄	—	53	4	no	—
1754	C₂²×C₄	—	53	4	no	—
1755	C₂²×C₄	—	53	4	no	—
1756	C₂²×C₄	—	53	4	no	—
1757	C₂²×C₄	—	106	4	no	—
1758	C₂²×C₄	—	212	4	no	—
1759	C₂²×C₄	—	212	4	no	—
1760	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1761	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1762	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1763	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1764	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1765	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1766	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1767	C₄⋊C₄	—	53	4	no	—
1768	C₄⋊C₄	—	53	4	no	—
1769	C₄⋊C₄	—	53	4	no	—
1770	C₄⋊C₄	—	53	4	no	—
1771	C₄⋊C₄	—	53	4	no	—
1772	C₄⋊C₄	—	53	4	no	—
1773	C₄⋊C₄	—	53	4	no	—
1774	C₄⋊C₄	—	53	4	no	—
1775	C₄⋊C₄	—	53	4	no	—
1776	C₄⋊C₄	—	53	4	no	—
1777	C₄⋊C₄	—	53	4	no	—
1778	C₄⋊C₄	—	53	4	no	—
1779	C₄⋊C₄	—	53	4	no	—
1780	C₄⋊C₄	—	53	4	no	—
1781	C₄⋊C₄	—	53	4	no	—
1782	C₄⋊C₄	—	53	4	no	—
1783	C₄⋊C₄	—	53	4	no	—
1784	C₄⋊C₄	—	53	2	no	—
1785	C₄⋊C₄	—	53	4	no	—
1786	C₄⋊C₄	—	53	2	no	—
1787	C₄⋊C₄	—	53	4	no	—
1788	C₄⋊C₄	—	53	4	no	—
1789	C₄⋊C₄	—	53	4	no	—
1790	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1791	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1792	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1793	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1794	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1795	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
1796	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1797	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1798	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1799	C₂²⋊C₄	—	53	4	no	—
1800	C₂²⋊C₄	—	53	4	no	—
1801	C₂²⋊C₄	—	53	4	no	—
1802	C₂²⋊C₄	—	53	4	no	—
1803	C₂²⋊C₄	—	53	4	no	—
1804	C₂²⋊C₄	—	53	4	no	—
1805	C₂²⋊C₄	—	53	4	no	—
1806	C₂²⋊C₄	—	53	4	no	—
1807	C₂²⋊C₄	—	53	2	no	—
1808	C₂²⋊C₄	—	53	2	no	—
1809	C₂²⋊C₄	—	53	4	no	—
1810	C₂²⋊C₄	—	53	4	no	—
1811	C₂²⋊C₄	—	53	4	no	—
1812	C₂²⋊C₄	—	53	4	no	—
1813	C₂²⋊C₄	—	53	4	no	—
1814	C₂²⋊C₄	—	53	4	no	—
1815	C₂²⋊C₄	—	53	4	no	—
1816	C₂²⋊C₄	—	53	4	no	—
1817	C₂²⋊C₄	—	53	4	no	—
1818	C₂²⋊C₄	—	53	4	no	—
1819	C₂²⋊C₄	—	53	4	no	—
1820	C₂²⋊C₄	—	53	4	no	—
1821	C₂²⋊C₄	—	53	4	no	—
1822	C₂²⋊C₄	—	53	4	no	—
1823	C₂²⋊C₄	—	53	4	no	—
1824	C₂²⋊C₄	—	53	4	no	—
1825	C₂²⋊C₄	—	53	4	no	—
1826	C₂²⋊C₄	—	53	4	no	—
1827	C₂²⋊C₄	—	53	4	no	—
1828	C₂²⋊C₄	—	53	4	no	—
1829	C₂²⋊C₄	—	53	4	no	—
1830	C₂²⋊C₄	—	53	4	no	—
1831	C₂²⋊C₄	—	53	4	no	—
1832	C₂²⋊C₄	—	53	4	no	—
1833	C₂²⋊C₄	—	53	4	no	—
1834	C₂²⋊C₄	—	53	4	no	—
1835	C₂²⋊C₄	—	53	4	no	—
1836	C₂²⋊C₄	—	53	4	no	—
1837	C₂²⋊C₄	—	53	4	no	—
1838	C₂²⋊C₄	—	53	4	no	—
1839	C₂²⋊C₄	—	53	4	no	—
1840	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1841	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1842	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1843	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1844	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1845	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1846	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1847	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1848	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1849	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
1850	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
1851	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1852	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1853	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1854	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1855	C₄²	—	53	2	no	—
1856	C₄²	—	53	1	no	—
1857	C₄²	—	53	2	no	—
1858	C₄²	—	53	2	no	—
1859	C₄²	—	53	2	no	—
1860	C₄²	—	53	2	no	—
1861	C₄²	—	53	1	no	—
1862	C₄²	—	53	4	no	—
1863	C₄²	—	53	4	no	—
1864	C₄²	—	53	4	no	—
1865	C₄²	—	53	4	no	—
1866	C₄²	—	53	4	no	—
1867	C₄²	—	53	2	no	—
1868	C₄²	—	53	2	no	—
1869	C₄²	—	53	4	no	—
1870	C₄²	—	53	4	no	—
1871	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1872	C₄²	C₂³×D₅₃	1	2	yes	—
1873	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1874	C₄²	C₂³×D₅₃	1	4	yes	—
1875	C₄²	C₂³×D₅₃	1	2	yes	—
1876	C₄²	C₂³×D₅₃	1	2	yes	—
1877	C₂³	—	2	4	no	—
1878	C₂³	—	4	4	no	—
1879	C₂³	—	4	2	no	—
1880	C₂³	—	4	4	no	—
1881	C₂³	—	53	2	no	—
1882	C₂³	—	53	4	no	—
1883	C₂³	—	53	4	no	—
1884	C₂³	—	106	4	no	—
1885	C₂³	—	106	8	no	—
1886	C₂³	—	106	8	no	—
1887	C₂³	—	106	2	no	—
1888	C₂³	—	106	4	no	—
1889	C₂³	—	424	16	no	—
1890	C₂³	—	212	4	no	—
1891	C₂³	—	212	2	no	—
1892	C₂³	—	212	4	no	—
1893	C₂³	—	212	4	no	—
1894	C₂³	—	212	4	no	—
1895	C₂³	—	212	4	no	—
1896	C₂³	—	212	4	no	—
1897	C₂³	—	212	4	no	—
1898	C₂³	—	212	4	no	—
1899	C₂³	—	212	4	no	—
1900	C₂³	C₂⁴×D₅₃	1	2	yes	—
1901	C₂³	C₂⁴×D₅₃	1	2	yes	—
1902	C₂³	C₂⁴×D₅₃	1	4	yes	—
1903	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1904	Q₈	—	4	1	no	—
1905	Q₈	—	4	2	no	—
1906	Q₈	—	4	1	no	—
1907	Q₈	—	4	2	no	—
1908	Q₈	—	4	2	no	—
1909	Q₈	—	106	8	no	—
1910	Q₈	—	106	8	no	—
1911	Q₈	—	106	8	no	—
1912	Q₈	—	212	2	no	—
1913	Q₈	—	212	2	no	—
1914	Q₈	—	212	2	no	—
1915	Q₈	—	212	4	no	—
1916	Q₈	—	212	4	no	—
1917	Q₈	—	212	2	no	—
1918	D₄	—	2	8	no	—
1919	D₄	—	4	1	no	—
1920	D₄	—	4	2	no	—
1921	D₄	—	4	1	no	—
1922	D₄	—	4	4	no	—
1923	D₄	—	4	4	no	—
1924	D₄	—	4	4	no	—
1925	D₄	—	4	2	no	—
1926	D₄	—	4	2	no	—
1927	D₄	—	106	8	no	—
1928	D₄	—	106	8	no	—
1929	D₄	—	106	8	no	—
1930	D₄	—	106	8	no	—
1931	D₄	—	106	8	no	—
1932	D₄	—	106	8	no	—
1933	D₄	—	106	8	no	—
1934	D₄	—	106	8	no	—
1935	D₄	—	212	4	no	—
1936	D₄	—	212	4	no	—
1937	D₄	—	212	2	no	—
1938	D₄	—	212	2	no	—
1939	D₄	—	212	4	no	—
1940	D₄	—	212	2	no	—
1941	D₄	—	212	2	no	—
1942	D₄	—	212	4	no	—
1943	D₄	—	212	4	no	—
1944	D₄	—	212	4	no	—
1945	D₄	—	212	4	no	—
1946	D₄	—	212	4	no	—
1947	D₄	—	212	4	no	—
1948	D₄	—	212	4	no	—
1949	D₄	—	212	4	no	—
1950	C₂×C₄	—	2	2	no	—
1951	C₂×C₄	—	2	4	no	—
1952	C₂×C₄	—	4	2	no	—
1953	C₂×C₄	—	4	2	no	—
1954	C₂×C₄	—	4	4	no	—
1955	C₂×C₄	—	4	4	no	—
1956	C₂×C₄	—	4	4	no	—
1957	C₂×C₄	—	53	4	no	—
1958	C₂×C₄	—	53	2	no	—
1959	C₂×C₄	—	53	2	no	—
1960	C₂×C₄	—	53	2	no	—
1961	C₂×C₄	—	53	4	no	—
1962	C₂×C₄	—	53	4	no	—
1963	C₂×C₄	—	53	4	no	—
1964	C₂×C₄	—	53	4	no	—
1965	C₂×C₄	—	106	4	no	—
1966	C₂×C₄	—	106	4	no	—
1967	C₂×C₄	—	106	8	no	—
1968	C₂×C₄	—	106	4	no	—
1969	C₂×C₄	—	106	4	no	—
1970	C₂×C₄	—	106	8	no	—
1971	C₂×C₄	—	106	4	no	—
1972	C₂×C₄	—	212	2	no	—
1973	C₂×C₄	—	212	2	no	—
1974	C₂×C₄	—	212	4	no	—
1975	C₂×C₄	—	212	4	no	—
1976	C₂×C₄	—	212	4	no	—
1977	C₂×C₄	—	212	4	no	—
1978	C₂×C₄	—	212	4	no	—
1979	C₂×C₄	—	212	4	no	—
1980	C₂×C₄	—	212	4	no	—
1981	C₂×C₄	—	212	4	no	—
1982	C₂×C₄	—	212	4	no	—
1983	C₂×C₄	—	212	2	no	—
1984	C₂×C₄	—	212	4	no	—
1985	C₂×C₄	—	212	2	no	—
1986	C₂×C₄	—	212	4	no	—
1987	C₂×C₄	—	212	4	no	—
1988	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1989	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1990	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1991	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1992	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1993	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1994	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1995	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
1996	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1997	C₂²	—	2	2	no	—
1998	C₂²	—	2	4	no	—
1999	C₂²	—	2	2	no	—
2000	C₂²	—	2	2	no	—
2001	C₂²	—	2	4	no	—
2002	C₂²	—	2	4	no	—
2003	C₂²	—	2	4	no	—
2004	C₂²	—	2	4	no	—
2005	C₂²	—	8	4	no	—
2006	C₂²	—	16	2	no	—
2007	C₂²	—	53	4	no	—
2008	C₂²	—	848	2	no	—
2009	C₂²	—	848	4	no	—
2010	C₂²	—	106	8	no	—
2011	C₂²	—	106	2	no	—
2012	C₂²	—	106	2	no	—
2013	C₂²	—	106	4	no	—
2014	C₂²	—	106	4	no	—
2015	C₂²	—	106	4	no	—
2016	C₂²	—	106	4	no	—
2017	C₂²	—	106	4	no	—
2018	C₂²	—	106	4	no	—
2019	C₂²	—	424	4	no	—
2020	C₂²	—	424	8	no	—
2021	C₂²	—	424	8	no	—
2022	C₂²	H(5,𝔽₂)×D₅₃	1	2	yes	—
2023	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2024	C₄	—	2	2	no	—
2025	C₄	—	2	1	no	—
2026	C₄	—	2	1	no	—
2027	C₄	—	2	2	no	—
2028	C₄	—	2	4	no	—
2029	C₄	—	2	2	no	—
2030	C₄	—	2	4	no	—
2031	C₄	—	2	2	no	—
2032	C₄	—	2	4	no	—
2033	C₄	—	53	4	no	—
2034	C₄	—	106	4	no	—
2035	C₄	—	106	4	no	—
2036	C₄	—	106	2	no	—
2037	C₄	—	106	2	no	—
2038	C₄	—	106	4	no	—
2039	C₄	—	106	4	no	—
2040	C₂	—	2	2	no	—
2041	C₂	—	4	2	no	—
2042	C₂	—	4	2	no	—
2043	C₂	—	4	4	no	—
2044	C₂	—	106	4	no	—
2045	C₂	—	212	4	no	—
2046	C₂	—	212	4	no	—
2047	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2048	C₂	#585×D₅₃	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3545	C₂
hypercenter	#3545	D₅₃
hypocenter	C₅₃	#62824
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3545

Complements

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

N	H ≅ G/N	type
1. #20289283	C₂	semidirect
2. #20289279	C₂	semidirect
3. #20289277	C₂	semidirect
4. #20289237	C₂	semidirect
5. #20289228	C₂	semidirect
6. #20289226	C₂	semidirect
7. #20289072	C₂	semidirect
8. #20289069	C₂	semidirect
9. #20289067	C₂	semidirect
10. #20289064	C₂	semidirect
11. #20288674	C₂	semidirect
12. #20288672	C₂	semidirect
13. #20288668	C₂	semidirect
14. #20288665	C₂	semidirect
15. #20288603	C₂	semidirect
16. #20288501	C₂	semidirect
17. #20288399	C₂	semidirect
18. #20288397	C₂	semidirect
19. #20288364	C₂	semidirect
20. #20288347	C₂	semidirect
21. #20288009	C₂	semidirect
22. C₂×#124×D₅₃	C₂	semidirect
23. C₅₃×#3545	C₂	semidirect
24. C₂×#13133264	C₂²	semidirect
25. C₂×#13133262	C₂²	semidirect
26. C₂²×Q₈×D₅₃	C₂²	semidirect
28. #16811377	C₂²	semidirect
29. #16811376	C₂²	semidirect
30. #16811373	C₂²	semidirect
31. #16811372	C₂²	semidirect
32. #16811371	C₂²	semidirect
33. #16811369	C₂²	semidirect
34. #16811368	C₂²	semidirect
35. #16811367	C₂²	semidirect
36. #16811367	C₂²	semidirect
37. #16811366	C₂²	semidirect
38. #16811365	C₂²	semidirect
39. #16811365	C₂²	semidirect
40. #16811365	C₂²	semidirect
41. #16811357	C₂²	semidirect
42. #16811357	C₂²	semidirect
43. #16811356	C₂²	semidirect
44. #16811355	C₂²	semidirect
45. #16811344	C₂²	semidirect
46. #16811341	C₂²	semidirect
47. #16811340	C₂²	semidirect
48. #16811340	C₂²	semidirect
49. #16811339	C₂²	semidirect
50. #16811337	C₂²	semidirect
51. #16811336	C₂²	semidirect
52. #16811335	C₂²	semidirect
53. #16811335	C₂²	semidirect
54. #16811304	C₂²	semidirect
55. #16811304	C₂²	semidirect
56. #16811303	C₂²	semidirect
57. #16811303	C₂²	semidirect
58. #16811302	C₂²	semidirect
59. #16811302	C₂²	semidirect
60. #16811301	C₂²	semidirect
61. #16811301	C₂²	semidirect
62. #16811300	C₂²	semidirect
63. #16811300	C₂²	semidirect
64. #16811300	C₂²	semidirect
65. #16811299	C₂²	semidirect
66. #16811299	C₂²	semidirect
67. #16811298	C₂²	semidirect
68. #16811298	C₂²	semidirect
69. #16811297	C₂²	semidirect
70. #16811297	C₂²	semidirect
71. #16811297	C₂²	semidirect
72. #16811296	C₂²	semidirect
73. #16811296	C₂²	semidirect
74. #16811288	C₂²	semidirect
75. #16811288	C₂²	semidirect
76. #16811286	C₂²	semidirect
77. #16811286	C₂²	semidirect
78. #16811283	C₂²	semidirect
79. #16811283	C₂²	semidirect
80. #16811283	C₂²	semidirect
81. #16811282	C₂²	semidirect
82. #16811281	C₂²	semidirect
83. #16811281	C₂²	semidirect
84. #16811281	C₂²	semidirect
85. #16811279	C₂²	semidirect
86. #16811270	C₂²	semidirect
87. #16811269	C₂²	semidirect
88. #16811268	C₂²	semidirect
89. #16811267	C₂²	semidirect
90. #16811266	C₂²	semidirect
91. #16811265	C₂²	semidirect
92. #16811265	C₂²	semidirect
93. #16811265	C₂²	semidirect
94. #16811265	C₂²	semidirect
95. #16811265	C₂²	semidirect
96. #16811264	C₂²	semidirect
97. #16811263	C₂²	semidirect
98. #16811263	C₂²	semidirect
99. #16811263	C₂²	semidirect
100. #16811262	C₂²	semidirect
101. #16811262	C₂²	semidirect
102. #16811262	C₂²	semidirect
103. #16811262	C₂²	semidirect
104. #16811262	C₂²	semidirect
105. #16811261	C₂²	semidirect
106. #16811260	C₂²	semidirect
107. #16811260	C₂²	semidirect
108. #16811260	C₂²	semidirect
109. #16811257	C₂²	semidirect
110. #16811257	C₂²	semidirect
111. #16811255	C₂²	semidirect
112. #16811255	C₂²	semidirect
113. #16811248	C₂²	semidirect
114. #16811248	C₂²	semidirect
115. #16811247	C₂²	semidirect
116. #16811245	C₂²	semidirect
117. #16811243	C₂²	semidirect
118. #16811243	C₂²	semidirect
119. #16811241	C₂²	semidirect
120. #16811241	C₂²	semidirect
121. #16811240	C₂²	semidirect
122. #16811239	C₂²	semidirect
123. #16811239	C₂²	semidirect
124. #16811237	C₂²	semidirect
125. #16811237	C₂²	semidirect
126. #16811213	C₂²	semidirect
127. #16811212	C₂²	semidirect
128. #16811212	C₂²	semidirect
129. #16811212	C₂²	semidirect
130. #16811209	C₂²	semidirect
131. #16811209	C₂²	semidirect
132. #16811208	C₂²	semidirect
133. #16811207	C₂²	semidirect
134. #16811207	C₂²	semidirect
135. #16811207	C₂²	semidirect
136. #16811207	C₂²	semidirect
137. #16811206	C₂²	semidirect
138. #16811205	C₂²	semidirect
139. #16811205	C₂²	semidirect
140. #16811205	C₂²	semidirect
141. #16811197	C₂²	semidirect
142. #16811196	C₂²	semidirect
143. #16811195	C₂²	semidirect
144. #16811195	C₂²	semidirect
145. #16811195	C₂²	semidirect
146. #16811189	C₂²	semidirect
148. #16811188	C₂²	semidirect
149. #16811184	C₂²	semidirect
150. #16811184	C₂²	semidirect
151. #16811183	C₂²	semidirect
152. #16811182	C₂²	semidirect
153. #16811179	C₂²	semidirect
154. #16811177	C₂²	semidirect
155. #16811175	C₂²	semidirect
156. #16811172	C₂²	semidirect
157. #16811170	C₂²	semidirect
158. #16811170	C₂²	semidirect
159. #16811168	C₂²	semidirect
160. #16811168	C₂²	semidirect
161. #16811158	C₂²	semidirect
162. #16811157	C₂²	semidirect
163. #16811156	C₂²	semidirect
164. #16811156	C₂²	semidirect
165. #16811156	C₂²	semidirect
166. #16811153	C₂²	semidirect
167. #16811152	C₂²	semidirect
168. #16811151	C₂²	semidirect
169. #16811151	C₂²	semidirect
170. #16811150	C₂²	semidirect
171. #16811150	C₂²	semidirect
172. C₂×#13133206	C₂²	semidirect
173. C₂×#13133205	C₂²	semidirect
174. C₂×#13133204	C₂²	semidirect
175. C₂×#13133203	C₂²	semidirect
176. C₂×#13133203	C₂²	semidirect
177. #124×D₅₃	C₂²	semidirect
178. #124×D₅₃	C₂²	semidirect
179. #124×D₅₃	C₂²	semidirect
180. #124×D₅₃	C₂²	semidirect
181. #124×D₅₃	C₂²	semidirect
182. #124×D₅₃	C₂²	semidirect
183. #124×D₅₃	C₂²	semidirect
184. #16811136	C₂²	semidirect
185. #16811135	C₂²	semidirect
186. #16811133	C₂²	semidirect
187. #16811132	C₂²	semidirect
188. #16811131	C₂²	semidirect
189. #16811131	C₂²	semidirect
190. #16811130	C₂²	semidirect
191. C₂×#13133187	C₂²	semidirect
192. C₂×#13133185	C₂²	semidirect
193. #120×D₅₃	C₂²	semidirect
194. #16811100	C₂²	semidirect
195. #16811097	C₂²	semidirect
196. #16811096	C₂²	semidirect
197. #16811096	C₂²	semidirect
198. #16811095	C₂²	semidirect
199. #16811095	C₂²	semidirect
200. C₄×#11719949	C₂²	semidirect
201. #16811091	C₂²	semidirect
202. C₄×#11719947	C₂²	semidirect
203. C₄×#11719947	C₂²	semidirect
204. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
205. C₂×C₄²×D₅₃	C₂²	semidirect
206. C₅₃×#563	C₂²	semidirect
207. C₅₃×#562	C₂²	semidirect
208. C₅₃×H(3,𝔽₄)	C₂²	semidirect
209. C₅₃×#555	C₂²	semidirect
210. C₅₃×#551	C₂²	semidirect
211. C₅₃×#551	C₂²	semidirect
212. C₅₃×#546	C₂²	semidirect
213. C₅₃×#542	C₂²	semidirect
214. C₅₃×#538	C₂²	semidirect
215. C₅₃×#536	C₂²	semidirect
216. C₅₃×#534	C₂²	semidirect
217. C₅₃×#529	C₂²	semidirect
218. C₂×#124×C₅₃	C₂²	semidirect
226. C₂×#11719945	C₂³	semidirect
231. C₂×#11719947	C₂³	semidirect
234. C₂²×Dic₁₀₆	C₂³	semidirect
239. C₂×Q₈×D₅₃	C₂³	semidirect
257. #13133216	C₂³	semidirect
258. #13133216	C₂³	semidirect
259. #13133216	C₂³	semidirect
260. #13133216	C₂³	semidirect
261. #13133216	C₂³	semidirect
262. #13133216	C₂³	semidirect
263. #13133215	C₂³	semidirect
264. #13133215	C₂³	semidirect
265. #13133215	C₂³	semidirect
268. #13133213	C₂³	semidirect
269. #13133212	C₂³	semidirect
270. #13133212	C₂³	semidirect
271. #13133212	C₂³	semidirect
272. #13133212	C₂³	semidirect
273. #13133212	C₂³	semidirect
274. #13133212	C₂³	semidirect
275. #13133212	C₂³	semidirect
276. #13133211	C₂³	semidirect
277. #13133211	C₂³	semidirect
278. #13133211	C₂³	semidirect
279. #13133210	C₂³	semidirect
280. #13133210	C₂³	semidirect
281. #13133210	C₂³	semidirect
282. #13133210	C₂³	semidirect
283. #13133210	C₂³	semidirect
284. #13133210	C₂³	semidirect
285. #13133210	C₂³	semidirect
286. #13133209	C₂³	semidirect
287. #13133207	C₂³	semidirect
288. #13133207	C₂³	semidirect
293. #13133206	C₂³	semidirect
294. #13133206	C₂³	semidirect
295. #13133206	C₂³	semidirect
296. #13133206	C₂³	semidirect
300. #13133205	C₂³	semidirect
301. #13133205	C₂³	semidirect
302. #13133205	C₂³	semidirect
307. #13133204	C₂³	semidirect
308. #13133204	C₂³	semidirect
319. #13133203	C₂³	semidirect
320. #13133203	C₂³	semidirect
321. #13133203	C₂³	semidirect
322. #13133203	C₂³	semidirect
323. #13133203	C₂³	semidirect
324. #13133203	C₂³	semidirect
325. #13133203	C₂³	semidirect
326. #13133203	C₂³	semidirect
327. #13133203	C₂³	semidirect
328. #13133203	C₂³	semidirect
329. #13133203	C₂³	semidirect
330. #13133203	C₂³	semidirect
331. #13133203	C₂³	semidirect
332. #13133203	C₂³	semidirect
337. #13133202	C₂³	semidirect
338. #13133202	C₂³	semidirect
339. #13133202	C₂³	semidirect
340. #13133202	C₂³	semidirect
341. #13133202	C₂³	semidirect
342. #13133202	C₂³	semidirect
344. #13133201	C₂³	semidirect
345. #13133201	C₂³	semidirect
346. #13133201	C₂³	semidirect
349. #13133200	C₂³	semidirect
350. #13133200	C₂³	semidirect
351. #13133200	C₂³	semidirect
354. #13133199	C₂³	semidirect
355. #13133199	C₂³	semidirect
356. #13133199	C₂³	semidirect
357. #13133199	C₂³	semidirect
358. #13133199	C₂³	semidirect
359. #13133199	C₂³	semidirect
363. #13133198	C₂³	semidirect
364. #13133198	C₂³	semidirect
365. #13133198	C₂³	semidirect
368. #13133197	C₂³	semidirect
369. #13133197	C₂³	semidirect
371. #13133196	C₂³	semidirect
372. #13133196	C₂³	semidirect
378. #13133195	C₂³	semidirect
379. #13133195	C₂³	semidirect
380. #13133195	C₂³	semidirect
381. #13133195	C₂³	semidirect
382. #13133195	C₂³	semidirect
383. #13133195	C₂³	semidirect
384. #13133195	C₂³	semidirect
385. #13133195	C₂³	semidirect
387. #13133194	C₂³	semidirect
388. #13133194	C₂³	semidirect
389. #13133194	C₂³	semidirect
390. #13133194	C₂³	semidirect
391. #13133194	C₂³	semidirect
392. #13133194	C₂³	semidirect
393. #13133194	C₂³	semidirect
394. #13133194	C₂³	semidirect
397. #13133193	C₂³	semidirect
398. #13133193	C₂³	semidirect
399. #13133193	C₂³	semidirect
400. #13133193	C₂³	semidirect
405. #13133192	C₂³	semidirect
406. #13133192	C₂³	semidirect
408. #13133191	C₂³	semidirect
409. #13133191	C₂³	semidirect
419. #13133190	C₂³	semidirect
420. #13133190	C₂³	semidirect
421. #13133190	C₂³	semidirect
422. #13133190	C₂³	semidirect
428. #13133189	C₂³	semidirect
429. #13133189	C₂³	semidirect
430. #13133189	C₂³	semidirect
431. #13133189	C₂³	semidirect
434. #13133188	C₂³	semidirect
435. #13133188	C₂³	semidirect
444. #13133187	C₂³	semidirect
445. #13133187	C₂³	semidirect
446. #13133187	C₂³	semidirect
448. #13133186	C₂³	semidirect
457. #13133185	C₂³	semidirect
458. #13133185	C₂³	semidirect
459. #13133185	C₂³	semidirect
460. Q₈×Dic₅₃	C₂³	semidirect
461. C₄×Dic₁₀₆	C₂³	semidirect
462. C₄×Dic₁₀₆	C₂³	semidirect
463. C₄×Dic₁₀₆	C₂³	semidirect
464. C₄×Dic₁₀₆	C₂³	semidirect
465. #13133182	C₂³	semidirect
466. #13133182	C₂³	semidirect
467. #13133182	C₂³	semidirect
468. #13133182	C₂³	semidirect
469. #13133182	C₂³	semidirect
470. #13133182	C₂³	semidirect
474. C₄×D₂₁₂	C₂³	semidirect
475. C₄×D₂₁₂	C₂³	semidirect
476. C₄×D₂₁₂	C₂³	semidirect
478. D₄×Dic₅₃	C₂³	semidirect
479. D₄×Dic₅₃	C₂³	semidirect
480. D₄×Dic₅₃	C₂³	semidirect
486. #13133179	C₂³	semidirect
487. #13133179	C₂³	semidirect
488. #13133179	C₂³	semidirect
495. C₄×C₂²⋊D₅₃	C₂³	semidirect
496. C₄×C₂²⋊D₅₃	C₂³	semidirect
497. C₄×C₂²⋊D₅₃	C₂³	semidirect
498. C₄×C₂²⋊D₅₃	C₂³	semidirect
499. C₄×C₂²⋊D₅₃	C₂³	semidirect
508. #13133177	C₂³	semidirect
509. #13133177	C₂³	semidirect
510. #13133177	C₂³	semidirect
511. #13133177	C₂³	semidirect
512. #13133177	C₂³	semidirect
513. #13133177	C₂³	semidirect
514. #13133177	C₂³	semidirect
516. #13133176	C₂³	semidirect
519. #13133175	C₂³	semidirect
520. #13133175	C₂³	semidirect
521. #13133175	C₂³	semidirect
522. #13133175	C₂³	semidirect
524. #13133174	C₂³	semidirect
525. #13133174	C₂³	semidirect
526. #13133174	C₂³	semidirect
529. #13133173	C₂³	semidirect
530. #13133173	C₂³	semidirect
531. #13133173	C₂³	semidirect
532. #13133173	C₂³	semidirect
535. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
540. C₂×#11719921	C₂³	semidirect
541. C₂×#11719921	C₂³	semidirect
553. C₂²⋊C₄×D₅₃	C₂³	semidirect
554. C₂²⋊C₄×D₅₃	C₂³	semidirect
555. C₂²⋊C₄×D₅₃	C₂³	semidirect
556. C₂²⋊C₄×D₅₃	C₂³	semidirect
559. C₂×C₄×Dic₅₃	C₂³	semidirect
564. C₄²×D₅₃	C₂³	semidirect
569. C₄⋊Q₈×C₅₃	C₂³	semidirect
570. C₄⋊Q₈×C₅₃	C₂³	semidirect
571. #126×C₅₃	C₂³	semidirect
572. #126×C₅₃	C₂³	semidirect
573. #126×C₅₃	C₂³	semidirect
574. #125×C₅₃	C₂³	semidirect
580. #124×C₅₃	C₂³	semidirect
581. #124×C₅₃	C₂³	semidirect
582. #124×C₅₃	C₂³	semidirect
583. #124×C₅₃	C₂³	semidirect
584. #124×C₅₃	C₂³	semidirect
589. #123×C₅₃	C₂³	semidirect
590. #123×C₅₃	C₂³	semidirect
591. #123×C₅₃	C₂³	semidirect
593. C₂²⋊Q₈×C₅₃	C₂³	semidirect
594. C₂²⋊Q₈×C₅₃	C₂³	semidirect
595. C₂²⋊Q₈×C₅₃	C₂³	semidirect
596. C₂²⋊Q₈×C₅₃	C₂³	semidirect
600. #121×C₅₃	C₂³	semidirect
601. #121×C₅₃	C₂³	semidirect
605. #120×C₅₃	C₂³	semidirect
606. C₄×Q₈×C₅₃	C₂³	semidirect
608. C₄×D₄×C₅₃	C₂³	semidirect
609. C₄×D₄×C₅₃	C₂³	semidirect
610. C₄×D₄×C₅₃	C₂³	semidirect
612. #117×C₅₃	C₂³	semidirect
613. #117×C₅₃	C₂³	semidirect
616. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
1026. #3545	D₅₃	semidirect
1056. #563	C₂×D₅₃	semidirect
1062. #562	C₂×D₅₃	semidirect
1067. H(3,𝔽₄)	C₂×D₅₃	semidirect
1081. #555	C₂×D₅₃	semidirect
1102. #551	C₂×D₅₃	semidirect
1103. #551	C₂×D₅₃	semidirect
1139. #546	C₂×D₅₃	semidirect
1157. #542	C₂×D₅₃	semidirect
1173. #538	C₂×D₅₃	semidirect
1179. #536	C₂×D₅₃	semidirect
1187. #534	C₂×D₅₃	semidirect
1207. #529	C₂×D₅₃	semidirect
1220. C₂×#124	C₂×D₅₃	semidirect
1243. C₅₃	#62824	semidirect
1295. C₄⋊Q₈	C₂²×D₅₃	semidirect
1296. C₄⋊Q₈	C₂²×D₅₃	semidirect
1317. #126	C₂²×D₅₃	semidirect
1318. #126	C₂²×D₅₃	semidirect
1319. #126	C₂²×D₅₃	semidirect
1323. #125	C₂²×D₅₃	semidirect
1373. #124	C₂²×D₅₃	semidirect
1374. #124	C₂²×D₅₃	semidirect
1375. #124	C₂²×D₅₃	semidirect
1376. #124	C₂²×D₅₃	semidirect
1377. #124	C₂²×D₅₃	semidirect
1415. #123	C₂²×D₅₃	semidirect
1416. #123	C₂²×D₅₃	semidirect
1417. #123	C₂²×D₅₃	semidirect
1454. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1455. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1456. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1457. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1496. #121	C₂²×D₅₃	semidirect
1497. #121	C₂²×D₅₃	semidirect
1525. #120	C₂²×D₅₃	semidirect
1537. C₄×Q₈	C₂²×D₅₃	semidirect
1583. C₄×D₄	C₂²×D₅₃	semidirect
1584. C₄×D₄	C₂²×D₅₃	semidirect
1585. C₄×D₄	C₂²×D₅₃	semidirect
1605. #117	C₂²×D₅₃	semidirect
1606. #117	C₂²×D₅₃	semidirect
1633. C₂×C₂²⋊C₄	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
#20289279	2
#20289277	2
#20289237	2
#20289228	2
#20289226	2
#20289072	2
#20289069	2
#20289067	2
#20289064	2
#20288674	2
#20288672	2
#20288668	2
#20288665	2
#20288603	2
#20288501	2
#20288399	2
#20288397	2
#20288364	2
#20288347	2
#20288009	2
C₂×#124×D₅₃	2
C₅₃×#3545	2
#62824	53