Subgroups — #28330746

Order 13568.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291671	C₂	1	1	yes	maximal, characteristic, complemented
2	#20291670	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291664	C₂	1	1	yes	maximal, characteristic, complemented
4	#20291659	C₂	1	1	yes	maximal, characteristic, complemented
5	#20291653	C₂	1	1	yes	maximal, characteristic, complemented
6	#20291652	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291644	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291639	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291637	C₂	1	1	yes	maximal, characteristic, complemented
10	#20291635	C₂	1	1	yes	maximal, characteristic, complemented
11	#20291629	C₂	1	1	yes	maximal, characteristic, complemented
12	#20291627	C₂	1	1	yes	maximal, characteristic, complemented
13	#20291621	C₂	1	1	yes	maximal, characteristic, complemented
14	#20291616	C₂	1	1	yes	maximal, characteristic, complemented
15	#20291612	C₂	1	1	yes	maximal, characteristic, complemented
16	#20291557	C₂	1	1	yes	maximal, characteristic, complemented
17	#20291555	C₂	1	1	yes	maximal, characteristic, complemented
18	#20291554	C₂	1	1	yes	maximal, characteristic, complemented
19	#20291550	C₂	1	1	yes	maximal, characteristic, complemented
20	#20291545	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291541	C₂	1	1	yes	maximal, characteristic, complemented
22	#20291538	C₂	1	1	yes	maximal, characteristic, complemented
23	#20291535	C₂	1	1	yes	maximal, characteristic, complemented
24	#20291533	C₂	1	1	yes	maximal, characteristic, complemented
25	#20291526	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291517	C₂	1	1	yes	maximal, characteristic, complemented
27	#20291512	C₂	1	1	yes	maximal, characteristic, complemented
28	#20291508	C₂	1	1	yes	maximal, characteristic, complemented
29	#20291506	C₂	1	1	yes	maximal, characteristic, complemented
30	D₅₃⋊#446	C₂	1	1	yes	maximal, characteristic, complemented
31	#20288334	C₂	1	1	yes	maximal, characteristic
32	#16811675	C₂²	1	1	yes	characteristic
33	#16811675	C₂²	1	1	yes	characteristic
34	#16811675	C₂²	1	1	yes	characteristic
35	#16811675	C₂²	1	1	yes	characteristic
36	#16811675	C₂²	1	1	yes	characteristic
37	#16811675	C₂²	1	1	yes	characteristic
38	#16811675	C₂²	1	1	yes	characteristic
39	#16811675	C₂²	1	1	yes	characteristic
40	#16811675	C₂²	1	1	yes	characteristic
41	#16811675	C₂²	1	1	yes	characteristic
42	#16811675	C₂²	1	1	yes	characteristic
43	#16811675	C₂²	1	1	yes	characteristic
44	#16811675	C₂²	1	1	yes	characteristic
45	#16811675	C₂²	1	1	yes	characteristic
46	#16811675	C₂²	1	1	yes	characteristic
47	#16811675	C₂²	1	1	yes	characteristic
48	#16811675	C₂²	1	1	yes	characteristic
49	#16811675	C₂²	1	1	yes	characteristic
50	#16811675	C₂²	1	1	yes	characteristic
51	#16811675	C₂²	1	1	yes	characteristic
52	#16811674	C₂²	1	1	yes	characteristic
53	#16811674	C₂²	1	1	yes	characteristic
54	#16811674	C₂²	1	1	yes	characteristic
55	#16811674	C₂²	1	1	yes	characteristic
56	#16811674	C₂²	1	1	yes	characteristic
57	#16811674	C₂²	1	1	yes	characteristic
58	#16811674	C₂²	1	1	yes	characteristic
59	#16811674	C₂²	1	1	yes	characteristic
60	#16811674	C₂²	1	1	yes	characteristic
61	#16811674	C₂²	1	1	yes	characteristic
62	#16811674	C₂²	1	1	yes	characteristic
63	#16811674	C₂²	1	1	yes	characteristic
64	#16811673	C₂²	1	1	yes	characteristic
65	#16811673	C₂²	1	1	yes	characteristic
66	#16811673	C₂²	1	1	yes	characteristic
67	#16811673	C₂²	1	1	yes	characteristic
68	#16811672	C₂²	1	1	yes	characteristic
69	#16811672	C₂²	1	1	yes	characteristic
70	#16811672	C₂²	1	1	yes	characteristic
71	#16811672	C₂²	1	1	yes	characteristic
72	#16811657	C₂²	1	1	yes	characteristic
73	#16811657	C₂²	1	1	yes	characteristic
74	#16811656	C₂²	1	1	yes	characteristic
75	#16811656	C₂²	1	1	yes	characteristic
76	#16811656	C₂²	1	1	yes	characteristic
77	#16811656	C₂²	1	1	yes	characteristic
78	#16811656	C₂²	1	1	yes	characteristic
79	#16811656	C₂²	1	1	yes	characteristic
80	#16811655	C₂²	1	1	yes	characteristic
81	#16811655	C₂²	1	1	yes	characteristic
82	#16811655	C₂²	1	1	yes	characteristic
83	#16811655	C₂²	1	1	yes	characteristic
84	#16811655	C₂²	1	1	yes	characteristic
85	#16811655	C₂²	1	1	yes	characteristic
86	#16811654	C₂²	1	1	yes	characteristic
87	#16811654	C₂²	1	1	yes	characteristic
88	#16811654	C₂²	1	1	yes	characteristic
89	#16811654	C₂²	1	1	yes	characteristic
90	#16811653	C₂²	1	1	yes	characteristic
91	#16811653	C₂²	1	1	yes	characteristic
92	#16811653	C₂²	1	1	yes	characteristic
93	#16811653	C₂²	1	1	yes	characteristic
94	#16811653	C₂²	1	1	yes	characteristic
95	#16811653	C₂²	1	1	yes	characteristic
96	#16811653	C₂²	1	1	yes	characteristic
97	#16811653	C₂²	1	1	yes	characteristic
98	#16811652	C₂²	1	1	yes	characteristic
99	#16811652	C₂²	1	1	yes	characteristic
100	#16811652	C₂²	1	1	yes	characteristic
101	#16811652	C₂²	1	1	yes	characteristic
102	#16811652	C₂²	1	1	yes	characteristic
103	#16811652	C₂²	1	1	yes	characteristic
104	#16811651	C₂²	1	1	yes	characteristic
105	#16811651	C₂²	1	1	yes	characteristic
106	#16811650	C₂²	1	1	yes	characteristic
107	#16811650	C₂²	1	1	yes	characteristic
108	#16811650	C₂²	1	1	yes	characteristic
109	#16811650	C₂²	1	1	yes	characteristic
110	#16811650	C₂²	1	1	yes	characteristic
111	#16811650	C₂²	1	1	yes	characteristic
112	#16811648	C₂²	1	1	yes	characteristic
113	#16811648	C₂²	1	1	yes	characteristic
114	#16811648	C₂²	1	1	yes	characteristic
115	#16811648	C₂²	1	1	yes	characteristic
116	#16811647	C₂²	1	1	yes	characteristic
117	#16811647	C₂²	1	1	yes	characteristic
118	#16811647	C₂²	1	1	yes	characteristic
119	#16811647	C₂²	1	1	yes	characteristic
120	#16811647	C₂²	1	1	yes	characteristic
121	#16811647	C₂²	1	1	yes	characteristic
122	#16811647	C₂²	1	1	yes	characteristic
123	#16811647	C₂²	1	1	yes	characteristic
124	#16811646	C₂²	1	1	yes	characteristic
125	#16811646	C₂²	1	1	yes	characteristic
126	#16811646	C₂²	1	1	yes	characteristic
127	#16811646	C₂²	1	1	yes	characteristic
128	#16811646	C₂²	1	1	yes	characteristic
129	#16811646	C₂²	1	1	yes	characteristic
130	#16811645	C₂²	1	1	yes	characteristic
131	#16811645	C₂²	1	1	yes	characteristic
132	#16811645	C₂²	1	1	yes	characteristic
133	#16811644	C₂²	1	1	yes	characteristic
134	#16811643	C₂²	1	1	yes	characteristic
135	#16811643	C₂²	1	1	yes	characteristic
136	#16811642	C₂²	1	1	yes	characteristic
137	#16811642	C₂²	1	1	yes	characteristic
138	#16811641	C₂²	1	1	yes	characteristic
139	#16811641	C₂²	1	1	yes	characteristic
140	#16811641	C₂²	1	1	yes	characteristic
141	#16811640	C₂²	1	1	yes	characteristic
142	#16811630	C₂²	1	1	yes	characteristic
143	#16811630	C₂²	1	1	yes	characteristic
144	#16811629	C₂²	1	1	yes	characteristic
145	#16811629	C₂²	1	1	yes	characteristic
146	#16811629	C₂²	1	1	yes	characteristic
147	#16811629	C₂²	1	1	yes	characteristic
148	#16811628	C₂²	1	1	yes	characteristic
149	#16811628	C₂²	1	1	yes	characteristic
150	#16811628	C₂²	1	1	yes	characteristic
151	#16811627	C₂²	1	1	yes	characteristic
152	#16811626	C₂²	1	1	yes	characteristic
153	C₂×#13133284	C₂²	1	1	yes	characteristic
154	D₅₃⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic
155	D₅₃⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic
156	D₅₃⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic
157	#16811588	C₂²	1	1	yes	characteristic
158	#16811588	C₂²	1	1	yes	characteristic
159	#16811587	C₂²	1	1	yes	characteristic
160	#16811587	C₂²	1	1	yes	characteristic
161	#16811587	C₂²	1	1	yes	characteristic
162	#16811587	C₂²	1	1	yes	characteristic
163	C₄×#11719936	C₂²	1	1	yes	characteristic
164	C₄×#11719936	C₂²	1	1	yes	characteristic
165	C₄×#11719936	C₂²	1	1	yes	characteristic
166	C₄×#11719940	C₂²	1	1	yes	characteristic
167	#16811582	C₂²	1	1	yes	characteristic
168	#16811582	C₂²	1	1	yes	characteristic
169	#16811582	C₂²	1	1	yes	characteristic
170	C₂×#13133272	C₂²	1	1	yes	characteristic
171	C₄×D₅₃⋊C₈	C₂²	1	1	yes	characteristic
172	#16811351	C₄	1	1	yes	characteristic
173	#16811341	C₄	1	1	yes	characteristic
174	#16811341	C₄	1	1	yes	characteristic
175	#16811314	C₄	1	1	yes	characteristic
176	#16811314	C₄	1	1	yes	characteristic
177	#16811309	C₄	1	1	yes	characteristic
178	#16811309	C₄	1	1	yes	characteristic
179	#16811309	C₄	1	1	yes	characteristic
180	#16811309	C₄	1	1	yes	characteristic
181	#16811288	C₄	1	1	yes	characteristic
182	#16811281	C₄	1	1	yes	characteristic
183	#16811281	C₄	1	1	yes	characteristic
184	#16811278	C₄	1	1	yes	characteristic
185	#16811275	C₄	1	1	yes	characteristic
186	#16811275	C₄	1	1	yes	characteristic
187	#16811178	C₂²	1	1	yes	characteristic
188	#16811175	C₂²	1	1	yes	characteristic
189	#16811175	C₂²	1	1	yes	characteristic
190	#16811156	C₂²	1	1	yes	characteristic
191	#16811156	C₂²	1	1	yes	characteristic
192	#16811156	C₂²	1	1	yes	characteristic
193	#16811156	C₂²	1	1	yes	characteristic
194	#16811152	C₂²	1	1	yes	characteristic
195	#16811152	C₂²	1	1	yes	characteristic
196	C₄×#11719949	C₂²	1	1	yes	characteristic
197	#16811091	C₂²	1	1	yes	characteristic
198	#16811091	C₂²	1	1	yes	characteristic
199	C₄×#11719947	C₂²	1	1	yes	characteristic
200	C₄×Q₈×D₅₃	C₂²	1	1	yes	characteristic
201	C₄×Q₈×D₅₃	C₂²	1	1	yes	characteristic
202	C₅₃×#556	C₄	1	1	yes	characteristic
203	C₂×#11719936	C₂³	1	1	yes	characteristic
204	C₂×#11719936	C₂³	1	1	yes	characteristic
205	C₂×#11719936	C₂³	1	1	yes	characteristic
206	C₂×#11719936	C₂³	1	1	yes	characteristic
207	C₂×#11719936	C₂³	1	1	yes	characteristic
208	C₂×#11719936	C₂³	1	1	yes	characteristic
209	C₂×#11719940	C₂³	1	1	yes	characteristic
210	C₂×#11719940	C₂³	1	1	yes	characteristic
211	C₂×#11719940	C₂³	1	1	yes	characteristic
212	C₂×#11719940	C₂³	1	1	yes	characteristic
213	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
214	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
215	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
216	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
217	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
218	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
219	C₂²×#88324	C₂³	1	1	yes	characteristic
220	C₂²×#88324	C₂³	1	1	yes	characteristic
221	C₂²×#88324	C₂³	1	1	yes	characteristic
222	C₂²×#88324	C₂³	1	1	yes	characteristic
223	#13133284	C₂³	1	1	yes	characteristic
224	#13133284	C₂³	1	1	yes	characteristic
225	#13133284	C₂³	1	1	yes	characteristic
226	#13133284	C₂³	1	1	yes	characteristic
227	#13133284	C₂³	1	1	yes	characteristic
228	#13133284	C₂³	1	1	yes	characteristic
229	#13133284	C₂³	1	1	yes	characteristic
230	#13133284	C₂³	1	1	yes	characteristic
231	#13133284	C₂³	1	1	yes	characteristic
232	#13133284	C₂³	1	1	yes	characteristic
233	#13133284	C₂³	1	1	yes	characteristic
234	#13133284	C₂³	1	1	yes	characteristic
235	#13133284	C₂³	1	1	yes	characteristic
236	#13133284	C₂³	1	1	yes	characteristic
237	#13133284	C₂³	1	1	yes	characteristic
238	#13133284	C₂³	1	1	yes	characteristic
239	#13133284	C₂³	1	1	yes	characteristic
240	#13133284	C₂³	1	1	yes	characteristic
241	#13133284	C₂³	1	1	yes	characteristic
242	#13133284	C₂³	1	1	yes	characteristic
243	#13133284	C₂³	1	1	yes	characteristic
244	#13133284	C₂³	1	1	yes	characteristic
245	#13133284	C₂³	1	1	yes	characteristic
246	#13133284	C₂³	1	1	yes	characteristic
247	C₄⋊#88324	C₂³	1	1	yes	characteristic
248	C₄⋊#88324	C₂³	1	1	yes	characteristic
249	C₄⋊#88324	C₂³	1	1	yes	characteristic
250	C₄⋊#88324	C₂³	1	1	yes	characteristic
251	C₄⋊#88324	C₂³	1	1	yes	characteristic
252	C₄⋊#88324	C₂³	1	1	yes	characteristic
253	C₄⋊#88324	C₂³	1	1	yes	characteristic
254	C₄⋊#88324	C₂³	1	1	yes	characteristic
255	C₄⋊#88324	C₂³	1	1	yes	characteristic
256	C₄⋊#88324	C₂³	1	1	yes	characteristic
257	C₄⋊#88324	C₂³	1	1	yes	characteristic
258	C₄⋊#88324	C₂³	1	1	yes	characteristic
259	C₄⋊#88324	C₂³	1	1	yes	characteristic
260	C₄⋊#88324	C₂³	1	1	yes	characteristic
261	C₄⋊#88324	C₂³	1	1	yes	characteristic
262	C₄⋊#88324	C₂³	1	1	yes	characteristic
263	#13133274	C₂³	1	1	yes	characteristic
264	#13133274	C₂³	1	1	yes	characteristic
265	#13133274	C₂³	1	1	yes	characteristic
266	#13133274	C₂³	1	1	yes	characteristic
267	#13133274	C₂³	1	1	yes	characteristic
268	#13133274	C₂³	1	1	yes	characteristic
269	#13133274	C₂³	1	1	yes	characteristic
270	#13133274	C₂³	1	1	yes	characteristic
271	#13133274	C₂³	1	1	yes	characteristic
272	#13133274	C₂³	1	1	yes	characteristic
273	#13133274	C₂³	1	1	yes	characteristic
274	#13133274	C₂³	1	1	yes	characteristic
275	C₂²⋊#88324	C₂³	1	1	yes	characteristic
276	C₂²⋊#88324	C₂³	1	1	yes	characteristic
277	C₂²⋊#88324	C₂³	1	1	yes	characteristic
278	C₂²⋊#88324	C₂³	1	1	yes	characteristic
279	C₂²⋊#88324	C₂³	1	1	yes	characteristic
280	C₂²⋊#88324	C₂³	1	1	yes	characteristic
281	C₂²⋊#88324	C₂³	1	1	yes	characteristic
282	C₂²⋊#88324	C₂³	1	1	yes	characteristic
283	#13133272	C₂³	1	1	yes	characteristic
284	#13133272	C₂³	1	1	yes	characteristic
285	#13133272	C₂³	1	1	yes	characteristic
286	#13133272	C₂³	1	1	yes	characteristic
287	#13133272	C₂³	1	1	yes	characteristic
288	#13133272	C₂³	1	1	yes	characteristic
289	#13133272	C₂³	1	1	yes	characteristic
290	#13133272	C₂³	1	1	yes	characteristic
291	#13133272	C₂³	1	1	yes	characteristic
292	#13133272	C₂³	1	1	yes	characteristic
293	#13133272	C₂³	1	1	yes	characteristic
294	#13133272	C₂³	1	1	yes	characteristic
295	#13133272	C₂³	1	1	yes	characteristic
296	#13133272	C₂³	1	1	yes	characteristic
297	#13133272	C₂³	1	1	yes	characteristic
298	#13133272	C₂³	1	1	yes	characteristic
299	#13133272	C₂³	1	1	yes	characteristic
300	#13133272	C₂³	1	1	yes	characteristic
301	#13133272	C₂³	1	1	yes	characteristic
302	#13133272	C₂³	1	1	yes	characteristic
303	#13133272	C₂³	1	1	yes	characteristic
304	#13133272	C₂³	1	1	yes	characteristic
305	#13133272	C₂³	1	1	yes	characteristic
306	#13133272	C₂³	1	1	yes	characteristic
307	C₄×#88324	C₂³	1	1	yes	characteristic
308	C₄×#88324	C₂³	1	1	yes	characteristic
309	C₄×#88324	C₂³	1	1	yes	characteristic
310	C₄×#88324	C₂³	1	1	yes	characteristic
311	C₄×#88324	C₂³	1	1	yes	characteristic
312	C₄×#88324	C₂³	1	1	yes	characteristic
313	C₄×#88324	C₂³	1	1	yes	characteristic
314	C₄×#88324	C₂³	1	1	yes	characteristic
315	C₄×#88324	C₂³	1	1	yes	characteristic
316	C₄×#88324	C₂³	1	1	yes	characteristic
317	C₄×#88324	C₂³	1	1	yes	characteristic
318	C₄×#88324	C₂³	1	1	yes	characteristic
319	C₄×#88324	C₂³	1	1	yes	characteristic
320	C₄×#88324	C₂³	1	1	yes	characteristic
321	C₄×#88324	C₂³	1	1	yes	characteristic
322	C₄×#88324	C₂³	1	1	yes	characteristic
323	C₂×#11719949	C₂×C₄	1	1	yes	characteristic
324	C₂×#11719945	C₂×C₄	1	1	yes	characteristic
325	C₂×#11719945	C₂×C₄	1	1	yes	characteristic
326	C₂×#11719947	C₂×C₄	1	1	yes	characteristic
327	C₂×Q₈×D₅₃	C₂×C₄	1	1	yes	characteristic
328	C₂×Q₈×D₅₃	C₂×C₄	1	1	yes	characteristic
329	#13133217	C₂×C₄	1	1	yes	characteristic
330	#13133216	C₂×C₄	1	1	yes	characteristic
331	#13133216	C₂×C₄	1	1	yes	characteristic
332	#13133215	C₂×C₄	1	1	yes	characteristic
333	#13133215	C₂×C₄	1	1	yes	characteristic
334	#13133211	C₂×C₄	1	1	yes	characteristic
335	#13133211	C₂×C₄	1	1	yes	characteristic
336	#13133211	C₂×C₄	1	1	yes	characteristic
337	#13133211	C₂×C₄	1	1	yes	characteristic
338	#13133210	C₂×C₄	1	1	yes	characteristic
339	#13133210	C₂×C₄	1	1	yes	characteristic
340	#13133210	C₂×C₄	1	1	yes	characteristic
341	#13133210	C₂×C₄	1	1	yes	characteristic
342	#13133209	C₂×C₄	1	1	yes	characteristic
343	#13133209	C₂×C₄	1	1	yes	characteristic
344	#13133208	C₂×C₄	1	1	yes	characteristic
345	#13133208	C₂×C₄	1	1	yes	characteristic
346	#13133207	C₂×C₄	1	1	yes	characteristic
347	#13133207	C₂×C₄	1	1	yes	characteristic
348	#13133207	C₂×C₄	1	1	yes	characteristic
349	#13133207	C₂×C₄	1	1	yes	characteristic
350	#13133207	C₂×C₄	1	1	yes	characteristic
351	#13133207	C₂×C₄	1	1	yes	characteristic
352	#13133207	C₂×C₄	1	1	yes	characteristic
353	#13133207	C₂×C₄	1	1	yes	characteristic
354	#13133203	C₂×C₄	1	1	yes	characteristic
355	#13133203	C₂×C₄	1	1	yes	characteristic
356	#13133203	C₂×C₄	1	1	yes	characteristic
357	#13133203	C₂×C₄	1	1	yes	characteristic
358	#13133202	C₂×C₄	1	1	yes	characteristic
359	#13133202	C₂×C₄	1	1	yes	characteristic
360	#13133202	C₂×C₄	1	1	yes	characteristic
361	#13133202	C₂×C₄	1	1	yes	characteristic
362	#13133199	C₂×C₄	1	1	yes	characteristic
363	#13133199	C₂×C₄	1	1	yes	characteristic
364	#13133199	C₂×C₄	1	1	yes	characteristic
365	#13133199	C₂×C₄	1	1	yes	characteristic
366	#13133199	C₂×C₄	1	1	yes	characteristic
367	#13133199	C₂×C₄	1	1	yes	characteristic
368	#13133199	C₂×C₄	1	1	yes	characteristic
369	#13133199	C₂×C₄	1	1	yes	characteristic
370	#13133197	C₂×C₄	1	1	yes	characteristic
371	#13133197	C₂×C₄	1	1	yes	characteristic
372	#13133196	C₂×C₄	1	1	yes	characteristic
373	#13133196	C₂×C₄	1	1	yes	characteristic
374	#13133195	C₂×C₄	1	1	yes	characteristic
375	#13133195	C₂×C₄	1	1	yes	characteristic
376	#13133195	C₂×C₄	1	1	yes	characteristic
377	#13133195	C₂×C₄	1	1	yes	characteristic
378	#13133194	C₂×C₄	1	1	yes	characteristic
379	#13133194	C₂×C₄	1	1	yes	characteristic
380	#13133194	C₂×C₄	1	1	yes	characteristic
381	#13133194	C₂×C₄	1	1	yes	characteristic
382	#13133193	C₂×C₄	1	1	yes	characteristic
383	#13133193	C₂×C₄	1	1	yes	characteristic
384	#13133193	C₂×C₄	1	1	yes	characteristic
385	#13133193	C₂×C₄	1	1	yes	characteristic
386	#13133190	C₂×C₄	1	1	yes	characteristic
387	#13133190	C₂×C₄	1	1	yes	characteristic
388	#13133190	C₂×C₄	1	1	yes	characteristic
389	#13133190	C₂×C₄	1	1	yes	characteristic
390	#13133188	C₂×C₄	1	1	yes	characteristic
391	#13133188	C₂×C₄	1	1	yes	characteristic
392	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic
393	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic
394	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic
395	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
396	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
397	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
398	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
399	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
400	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
401	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
402	#13133182	C₂×C₄	1	1	yes	characteristic
403	#13133182	C₂×C₄	1	1	yes	characteristic
404	#13133182	C₂³	1	1	yes	characteristic
405	#13133182	C₂³	1	1	yes	characteristic
406	#13133182	C₂³	1	1	yes	characteristic
407	#13133182	C₂³	1	1	yes	characteristic
408	#13133182	C₂³	1	1	yes	characteristic
409	#13133182	C₂³	1	1	yes	characteristic
410	#13133182	C₂³	1	1	yes	characteristic
411	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic
412	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic
413	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic
414	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
415	#13133179	C₂×C₄	1	1	yes	characteristic
416	#13133179	C₂×C₄	1	1	yes	characteristic
417	#13133179	C₂³	1	1	yes	characteristic
418	#13133179	C₂³	1	1	yes	characteristic
419	#13133179	C₂³	1	1	yes	characteristic
420	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
421	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
422	#13133177	C₂×C₄	1	1	yes	characteristic
423	#13133177	C₂×C₄	1	1	yes	characteristic
424	#13133177	C₂×C₄	1	1	yes	characteristic
425	#13133177	C₂×C₄	1	1	yes	characteristic
426	#13133177	C₂³	1	1	yes	characteristic
427	#13133177	C₂³	1	1	yes	characteristic
428	#13133177	C₂³	1	1	yes	characteristic
429	#13133177	C₂³	1	1	yes	characteristic
430	#13133177	C₂³	1	1	yes	characteristic
431	#13133177	C₂³	1	1	yes	characteristic
432	#13133175	C₂×C₄	1	1	yes	characteristic
433	#13133175	C₂×C₄	1	1	yes	characteristic
434	#13133175	C₂×C₄	1	1	yes	characteristic
435	#13133175	C₂×C₄	1	1	yes	characteristic
436	#13133175	C₂³	1	1	yes	characteristic
437	#13133175	C₂³	1	1	yes	characteristic
438	#13133174	C₂×C₄	1	1	yes	characteristic
439	#13133174	C₂×C₄	1	1	yes	characteristic
440	#13133174	C₂×C₄	1	1	yes	characteristic
441	#13133174	C₂×C₄	1	1	yes	characteristic
442	#13133173	C₂×C₄	1	1	yes	characteristic
443	#13133173	C₂×C₄	1	1	yes	characteristic
444	#13133173	C₂³	1	1	yes	characteristic
445	#13133173	C₂³	1	1	yes	characteristic
446	#13133173	C₂³	1	1	yes	characteristic
447	#13133173	C₂³	1	1	yes	characteristic
448	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
449	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
450	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
451	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
452	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
453	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
454	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
455	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
456	C₄²×D₅₃	C₂³	1	1	yes	characteristic
457	C₄²×D₅₃	C₂³	1	1	yes	characteristic
458	C₄²×D₅₃	C₂³	1	1	yes	characteristic
459	C₄²×D₅₃	C₂³	1	1	yes	characteristic
460	C₄²×D₅₃	C₂³	1	1	yes	characteristic
461	C₄²×D₅₃	C₂³	1	1	yes	characteristic
462	C₄²×D₅₃	C₂³	1	1	yes	characteristic
463	C₄⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
464	#126×C₅₃	C₂×C₄	1	1	yes	characteristic
465	#126×C₅₃	C₂×C₄	1	1	yes	characteristic
466	#126×C₅₃	C₂×C₄	1	1	yes	characteristic
467	#126×C₅₃	C₂×C₄	1	1	yes	characteristic
468	#124×C₅₃	C₂×C₄	1	1	yes	characteristic
469	#124×C₅₃	C₂×C₄	1	1	yes	characteristic
470	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
471	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
472	C₄×Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
473	C₄×Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
474	C₄×Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
475	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic
476	#117×C₅₃	C₂×C₄	1	1	yes	characteristic
477	#117×C₅₃	C₂×C₄	1	1	yes	characteristic
478	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
479	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
480	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
481	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
482	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
483	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
484	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
485	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
486	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
487	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
488	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
489	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
490	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
491	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
492	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
493	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
494	#11719949	—	4	2	no	—
495	Q₈×D₅₃	—	4	2	no	—
496	Q₈×D₅₃	—	4	2	no	—
497	#11719947	—	4	2	no	—
498	#11719945	—	4	2	no	—
499	#11719945	—	4	2	no	—
500	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
501	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
502	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
506	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
507	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
508	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
509	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
510	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
511	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
512	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
513	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
514	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
515	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
516	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
517	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
518	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
519	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
520	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
521	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
522	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
523	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
524	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
525	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
526	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
527	#11719940	—	2	2	no	—
528	#11719940	—	4	1	no	—
529	#11719940	—	4	1	no	—
530	#11719940	—	4	1	no	—
531	C₂×#88324	—	2	2	no	—
532	C₂×#88324	—	4	1	no	—
533	C₂×#88324	—	4	1	no	—
534	C₂×#88324	—	4	1	no	—
535	C₂×#88324	C₂⁴	1	1	yes	characteristic
536	C₂×#88324	C₂⁴	1	1	yes	characteristic
537	C₂×#88324	C₂⁴	1	1	yes	characteristic
538	C₂×#88324	C₂⁴	1	1	yes	characteristic
539	C₂×#88324	C₂⁴	1	1	yes	characteristic
540	C₂×#88324	C₂⁴	1	1	yes	characteristic
541	C₂×#88324	C₂⁴	1	1	yes	characteristic
542	C₂×#88324	C₂⁴	1	1	yes	characteristic
543	C₂×#88324	C₂⁴	1	1	yes	characteristic
544	C₂×#88324	C₂⁴	1	1	yes	characteristic
545	C₂×#88324	C₂⁴	1	1	yes	characteristic
546	C₂×#88324	C₂⁴	1	1	yes	characteristic
547	C₂×#88324	C₂⁴	1	1	yes	characteristic
548	C₂×#88324	C₂⁴	1	1	yes	characteristic
549	C₂×#88324	C₂⁴	1	1	yes	characteristic
550	C₂×#88324	C₂⁴	1	1	yes	characteristic
551	#11719936	—	2	2	no	—
552	#11719936	—	4	1	no	—
553	#11719936	—	4	1	no	—
554	#11719936	—	4	1	no	—
555	#11719936	—	4	1	no	—
556	#11719936	—	4	1	no	—
557	D₅₃⋊C₈	—	2	2	no	—
558	D₅₃⋊C₈	—	2	2	no	—
559	D₅₃⋊C₈	—	4	1	no	—
560	D₅₃⋊C₈	—	4	1	no	—
561	D₅₃⋊C₈	—	4	1	no	—
562	D₅₃⋊C₈	—	4	1	no	—
563	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
564	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
565	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
566	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
567	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
568	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
569	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
570	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
571	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
572	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
573	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
574	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
575	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
576	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
577	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
578	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
579	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
580	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
581	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
582	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
583	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
584	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
585	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
586	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
587	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
588	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
589	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
590	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
591	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
592	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
593	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
594	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
595	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
596	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
597	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
598	#11719921	C₂²×C₄	1	1	yes	characteristic
599	#11719921	C₂²×C₄	1	1	yes	characteristic
600	#11719921	C₂²×C₄	1	1	yes	characteristic
601	#11719921	C₂²×C₄	1	1	yes	characteristic
602	#11719921	C₂²×C₄	1	1	yes	characteristic
603	#11719921	C₂²×C₄	1	1	yes	characteristic
604	#11719921	C₂²×C₄	1	1	yes	characteristic
605	#11719921	C₂²×C₄	1	1	yes	characteristic
606	#11719921	C₂²×C₄	1	1	yes	characteristic
607	#11719921	C₂²×C₄	1	1	yes	characteristic
608	#11719921	C₂²×C₄	1	1	yes	characteristic
609	#11719921	C₂²×C₄	1	1	yes	characteristic
610	#11719921	C₂²×C₄	1	1	yes	characteristic
611	#11719921	C₂²×C₄	1	1	yes	characteristic
612	#11719921	C₂²×C₄	1	1	yes	characteristic
613	#11719921	C₂²×C₄	1	1	yes	characteristic
614	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
615	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
616	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
617	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
618	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
619	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
620	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
621	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
622	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
623	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
624	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
625	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
626	#11719919	C₂²×C₄	1	1	yes	characteristic
627	#11719919	C₂²×C₄	1	1	yes	characteristic
628	#11719919	C₂²×C₄	1	1	yes	characteristic
629	#11719919	C₂²×C₄	1	1	yes	characteristic
630	#11719919	C₂²×C₄	1	1	yes	characteristic
631	#11719919	C₂²×C₄	1	1	yes	characteristic
632	#11719919	C₂²×C₄	1	1	yes	characteristic
633	#11719919	C₂²×C₄	1	1	yes	characteristic
634	#11719919	C₂²×C₄	1	1	yes	characteristic
635	#11719919	C₂²×C₄	1	1	yes	characteristic
636	#11719919	C₂²×C₄	1	1	yes	characteristic
637	#11719919	C₂²×C₄	1	1	yes	characteristic
638	#11719919	C₂²×C₄	1	1	yes	characteristic
639	#11719919	C₂²×C₄	1	1	yes	characteristic
640	#11719919	C₂²×C₄	1	1	yes	characteristic
641	#11719919	C₂²×C₄	1	1	yes	characteristic
642	#11719919	C₂²×C₄	1	1	yes	characteristic
643	#11719919	C₂²×C₄	1	1	yes	characteristic
644	#11719919	C₂²×C₄	1	1	yes	characteristic
645	#11719919	C₂²×C₄	1	1	yes	characteristic
646	#11719919	C₂²×C₄	1	1	yes	characteristic
647	#11719919	C₂²×C₄	1	1	yes	characteristic
648	#11719919	C₂²×C₄	1	1	yes	characteristic
649	#11719919	C₂²×C₄	1	1	yes	characteristic
650	#11719919	C₂²×C₄	1	1	yes	characteristic
651	#11719919	C₂²×C₄	1	1	yes	characteristic
652	#11719919	C₂²×C₄	1	1	yes	characteristic
653	#11719919	C₂²×C₄	1	1	yes	characteristic
654	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
655	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
656	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
657	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
658	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
659	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
660	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
661	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
662	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
663	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
664	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
665	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
666	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
667	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
668	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
669	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
670	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
671	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
672	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
673	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
674	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
675	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
676	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
677	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
678	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
679	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
680	Q₈×C₅₃	—	4	1	no	—
681	Q₈×C₅₃	—	4	1	no	—
682	Q₈×C₅₃	—	4	1	no	—
683	D₄×C₅₃	—	4	1	no	—
684	C₂×C₄×C₅₃	—	4	1	no	—
685	C₂×C₄×C₅₃	—	4	1	no	—
686	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
687	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
688	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
689	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
690	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
691	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
692	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
693	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
694	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
695	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
696	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
697	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
698	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
699	C₂²⋊D₅₃	—	2	2	no	—
700	C₂²⋊D₅₃	—	2	2	no	—
701	C₂²⋊D₅₃	—	2	2	no	—
702	C₂²⋊D₅₃	—	4	1	no	—
703	C₂²⋊D₅₃	—	4	1	no	—
704	C₂²⋊D₅₃	—	4	1	no	—
705	C₂×Dic₅₃	—	2	2	no	—
706	C₂×Dic₅₃	—	2	1	no	—
707	C₂×Dic₅₃	—	2	1	no	—
708	C₂×Dic₅₃	—	2	1	no	—
709	C₂×Dic₅₃	—	2	1	no	—
710	C₂×Dic₅₃	—	4	1	no	—
711	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
712	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
713	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
714	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
715	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
716	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
717	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
718	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
719	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
720	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
721	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
722	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
723	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
724	D₂₁₂	—	2	2	no	—
725	D₂₁₂	—	2	2	no	—
726	D₂₁₂	—	4	1	no	—
727	C₄×D₅₃	—	2	2	no	—
728	C₄×D₅₃	—	2	2	no	—
729	C₄×D₅₃	—	2	2	no	—
730	C₄×D₅₃	—	2	2	no	—
731	C₄×D₅₃	—	2	2	no	—
732	C₄×D₅₃	—	2	1	no	—
733	C₄×D₅₃	—	2	1	no	—
734	C₄×D₅₃	—	2	1	no	—
735	C₄×D₅₃	—	2	1	no	—
736	C₄×D₅₃	—	2	1	no	—
737	C₄×D₅₃	—	2	1	no	—
738	C₄×D₅₃	—	4	1	no	—
739	C₄×D₅₃	—	4	1	no	—
740	C₄×D₅₃	—	4	1	no	—
741	C₄×D₅₃	—	4	1	no	—
742	C₄×D₅₃	—	4	1	no	—
743	C₄×D₅₃	—	4	1	no	—
744	C₄×D₅₃	—	4	1	no	—
745	C₄×D₅₃	—	4	1	no	—
746	C₄×D₅₃	—	4	1	no	—
747	Dic₁₀₆	—	2	2	no	—
748	Dic₁₀₆	—	2	2	no	—
749	Dic₁₀₆	—	2	2	no	—
750	Dic₁₀₆	—	4	1	no	—
751	Dic₁₀₆	—	4	1	no	—
752	Dic₁₀₆	—	4	1	no	—
753	Dic₁₀₆	—	4	1	no	—
754	#88324	—	2	1	no	—
755	#88324	—	2	1	no	—
756	#88324	—	2	1	no	—
757	#88324	—	2	1	no	—
758	#88324	—	2	1	no	—
759	#88324	—	2	1	no	—
760	#88324	—	2	1	no	—
761	#88324	—	2	1	no	—
762	#88324	—	2	1	no	—
763	#88324	—	2	1	no	—
764	#88324	—	2	1	no	—
765	#88324	—	2	1	no	—
766	#88324	—	2	1	no	—
767	#88324	—	2	1	no	—
768	#88324	—	2	1	no	—
769	#88324	2₋¹⁺⁴	1	2	yes	—
770	#60342	—	53	1	no	maximal, Sylow
771	C₂²×C₅₃	—	2	1	no	—
772	C₂²×C₅₃	—	2	1	no	—
773	C₂²×C₅₃	—	2	1	no	—
774	C₂²×C₅₃	—	2	1	no	—
775	C₂²×C₅₃	—	2	1	no	—
776	C₂²×C₅₃	—	2	1	no	—
777	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
778	C₂×D₅₃	—	2	1	no	—
779	C₂×D₅₃	—	2	1	no	—
780	C₂×D₅₃	—	2	1	no	—
781	C₂×D₅₃	—	2	1	no	—
782	C₂×D₅₃	—	2	1	no	—
783	C₂×D₅₃	—	2	1	no	—
784	C₂×D₅₃	—	2	1	no	—
785	C₂×D₅₃	—	2	1	no	—
786	C₂×D₅₃	#568	1	2	yes	—
787	C₄×C₅₃	—	2	1	no	—
788	C₄×C₅₃	—	2	1	no	—
789	C₄×C₅₃	—	2	1	no	—
790	C₄×C₅₃	—	2	1	no	—
791	C₄×C₅₃	—	2	1	no	—
792	C₄×C₅₃	—	2	1	no	—
793	C₄×C₅₃	—	2	1	no	—
794	C₄×C₅₃	—	2	1	no	—
795	C₄×C₅₃	—	2	1	no	—
796	C₄×C₅₃	—	2	1	no	—
797	C₄×C₅₃	—	2	1	no	—
798	C₄×C₅₃	—	2	1	no	—
799	C₄×C₅₃	—	2	1	no	—
800	Dic₅₃	—	2	1	no	—
801	Dic₅₃	—	2	1	no	—
802	Dic₅₃	—	2	1	no	—
803	Dic₅₃	—	2	1	no	—
804	Dic₅₃	—	2	1	no	—
805	Dic₅₃	—	2	1	no	—
806	Dic₅₃	—	2	1	no	—
807	Dic₅₃	—	2	1	no	—
808	Dic₅₃	—	2	1	no	—
809	Dic₅₃	—	2	1	no	—
810	Dic₅₃	—	2	1	no	—
811	Dic₅₃	#568	1	2	yes	—
812	Dic₅₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
813	Dic₅₃	#585	1	1	yes	characteristic
814	#3482	—	53	1	no	—
815	#2995	—	53	1	no	—
816	#2995	—	53	1	no	—
817	#2994	—	53	1	no	—
818	#2993	—	53	1	no	—
819	#2992	—	53	1	no	—
820	#2992	—	53	1	no	—
821	#2990	—	53	1	no	—
822	#2989	—	53	1	no	—
823	#2989	—	53	1	no	—
824	#2989	—	53	1	no	—
825	#2987	—	53	1	no	—
826	#2987	—	53	1	no	—
827	#2985	—	53	1	no	—
828	#2984	—	53	1	no	—
829	#2983	—	53	1	no	—
830	#2970	—	53	1	no	—
831	#2970	—	53	1	no	—
832	#2970	—	53	1	no	—
833	#2969	—	53	1	no	—
834	#2968	—	53	1	no	—
835	#2968	—	53	1	no	—
836	#2967	—	53	1	no	—
837	#2967	—	53	1	no	—
838	#2966	—	53	1	no	—
839	#2965	—	53	1	no	—
840	Q₈×M₁₆	—	53	1	no	—
841	#2962	—	53	1	no	—
842	#2961	—	53	1	no	—
843	#2961	—	53	1	no	—
844	C₂×#446	—	53	1	no	—
845	C₂×C₅₃	—	4	1	no	—
846	C₂×C₅₃	—	4	1	no	—
847	C₂×C₅₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
848	C₂×C₅₃	C₂×#568	1	1	yes	characteristic
849	C₂×C₅₃	C₂×#568	1	1	yes	characteristic
850	D₅₃	—	2	2	no	—
851	D₅₃	—	4	1	no	—
852	D₅₃	—	4	1	no	—
853	#557	—	53	1	no	—
854	#556	—	53	1	no	—
855	#556	—	53	1	no	—
856	#556	#6157	1	1	yes	characteristic
857	#552	—	53	1	no	—
858	#552	—	53	1	no	—
859	#552	—	53	1	no	—
860	#552	—	53	1	no	—
861	#552	—	53	1	no	—
862	#552	—	53	1	no	—
863	D₄×Q₈	—	53	1	no	—
864	#548	—	53	1	no	—
865	#548	—	53	1	no	—
866	#547	—	53	1	no	—
867	#547	—	53	1	no	—
868	#547	—	53	1	no	—
869	#533	—	53	1	no	—
870	#533	—	53	1	no	—
871	#533	—	53	1	no	—
872	#529	—	53	1	no	—
873	#529	—	53	1	no	—
874	#529	—	53	1	no	—
875	#529	—	53	1	no	—
876	#529	—	53	1	no	—
877	#529	—	53	1	no	—
878	C₄×#41	—	53	1	no	—
879	C₄×#41	—	53	1	no	—
880	C₄×#41	—	53	1	no	—
881	C₄×#41	—	53	1	no	—
882	C₂×C₄×Q₈	—	53	1	no	—
883	C₂×C₄×Q₈	—	53	1	no	—
884	#446	—	53	1	no	—
885	#446	—	53	1	no	—
886	#446	—	53	1	no	—
887	#446	—	53	1	no	—
888	#446	—	53	1	no	—
889	#446	—	53	1	no	—
890	#446	—	53	1	no	—
891	#446	—	53	1	no	—
892	#446	—	53	1	no	—
893	#446	—	53	1	no	—
894	#446	—	53	1	no	—
895	#446	—	53	1	no	—
896	#446	—	53	1	no	—
897	#446	—	53	1	no	—
898	#446	—	53	1	no	—
899	#446	—	53	1	no	—
900	#446	—	53	1	no	—
901	#446	—	53	1	no	—
902	#446	—	53	1	no	—
903	#446	—	53	1	no	—
904	#446	—	53	1	no	—
905	#446	—	53	1	no	—
906	#446	—	53	1	no	—
907	#446	—	53	1	no	—
908	#446	—	53	1	no	—
909	#446	—	53	1	no	—
910	#446	—	53	1	no	—
911	#446	—	53	1	no	—
912	#446	—	53	1	no	—
913	#446	—	53	1	no	—
914	#446	—	53	1	no	—
915	#446	—	53	1	no	—
916	#446	—	53	1	no	—
917	#446	—	53	1	no	—
918	#446	—	53	1	no	—
919	#446	—	53	1	no	—
920	C₈×Q₈	—	53	1	no	—
921	C₈×Q₈	—	53	1	no	—
922	C₈×Q₈	—	53	1	no	—
923	C₈×Q₈	—	53	1	no	—
924	#436	—	53	1	no	—
925	#436	—	53	1	no	—
926	#436	—	53	1	no	—
927	#436	—	53	1	no	—
928	#436	—	53	1	no	—
929	#436	—	53	1	no	—
930	#436	—	53	1	no	—
931	#436	—	53	1	no	—
932	#435	—	53	1	no	—
933	#435	—	53	1	no	—
934	#435	—	53	1	no	—
935	#435	—	53	1	no	—
936	#435	—	53	1	no	—
937	#435	—	53	1	no	—
938	#435	—	53	1	no	—
939	#435	—	53	1	no	—
940	#435	—	53	1	no	—
941	#435	—	53	1	no	—
942	#435	—	53	1	no	—
943	#435	—	53	1	no	—
944	#435	—	53	1	no	—
945	#435	—	53	1	no	—
946	#435	—	53	1	no	—
947	#435	—	53	1	no	—
948	#435	—	53	1	no	—
949	#435	—	53	1	no	—
950	#435	—	53	1	no	—
951	#435	—	53	1	no	—
952	#435	—	53	1	no	—
953	#435	—	53	1	no	—
954	#435	—	53	1	no	—
955	#435	—	53	1	no	—
956	C₈×D₄	—	53	1	no	—
957	C₈×D₄	—	53	1	no	—
958	C₈×D₄	—	53	1	no	—
959	C₈×D₄	—	53	1	no	—
960	C₈×D₄	—	53	1	no	—
961	C₈×D₄	—	53	1	no	—
962	C₈×D₄	—	53	1	no	—
963	C₈×D₄	—	53	1	no	—
964	#433	—	53	1	no	—
965	#433	—	53	1	no	—
966	#433	—	53	1	no	—
967	#433	—	53	1	no	—
968	#433	—	53	1	no	—
969	#433	—	53	1	no	—
970	#433	—	53	1	no	—
971	#433	—	53	1	no	—
972	#433	—	53	1	no	—
973	#433	—	53	1	no	—
974	#433	—	53	1	no	—
975	#433	—	53	1	no	—
976	#432	—	53	1	no	—
977	#432	—	53	1	no	—
978	#432	—	53	1	no	—
979	#432	—	53	1	no	—
980	#432	—	53	1	no	—
981	#432	—	53	1	no	—
982	#432	—	53	1	no	—
983	#432	—	53	1	no	—
984	#432	—	53	1	no	—
985	#432	—	53	1	no	—
986	#432	—	53	1	no	—
987	#432	—	53	1	no	—
988	#431	—	53	1	no	—
989	#431	—	53	1	no	—
990	#431	—	53	1	no	—
991	#431	—	53	1	no	—
992	#431	—	53	1	no	—
993	#431	—	53	1	no	—
994	#424	—	53	1	no	—
995	#424	—	53	1	no	—
996	#424	—	53	1	no	—
997	#424	—	53	1	no	—
998	#424	—	53	1	no	—
999	#424	—	53	1	no	—
1000	#423	—	53	1	no	—
1001	#423	—	53	1	no	—
1002	#423	—	53	1	no	—
1003	#423	—	53	1	no	—
1004	#423	—	53	1	no	—
1005	C₂×C₄⋊C₈	—	53	1	no	—
1006	C₂×C₄⋊C₈	—	53	1	no	—
1007	C₂×C₄⋊C₈	—	53	1	no	—
1008	C₂×C₄⋊C₈	—	53	1	no	—
1009	#405	—	53	1	no	—
1010	#405	—	53	1	no	—
1011	#405	—	53	1	no	—
1012	#405	—	53	1	no	—
1013	#405	—	53	1	no	—
1014	#405	—	53	1	no	—
1015	C₄×M₁₆	—	53	1	no	—
1016	C₄×M₁₆	—	53	1	no	—
1017	C₄×M₁₆	—	53	1	no	—
1018	C₄×M₁₆	—	53	1	no	—
1019	C₂×#97	—	53	1	no	—
1020	C₂×#97	—	53	1	no	—
1021	C₂×#97	—	53	1	no	—
1022	C₂×#97	—	53	1	no	—
1023	C₂×C₄×C₈	—	53	1	no	—
1024	C₅₃	#60342	1	1	yes	characteristic, complemented, Sylow
1025	C₂×#41	—	53	1	no	—
1026	C₂×#41	—	53	1	no	—
1027	C₂×#41	—	53	1	no	—
1028	C₂×#41	—	53	1	no	—
1029	C₂²×Q₈	—	53	1	no	—
1030	C₂²×Q₈	—	53	1	no	—
1031	C₂×M₁₆	—	53	1	no	—
1032	C₂×M₁₆	—	53	1	no	—
1033	C₂×M₁₆	—	53	1	no	—
1034	C₂×M₁₆	—	53	1	no	—
1035	C₂×M₁₆	—	53	1	no	—
1036	C₂×M₁₆	—	53	1	no	—
1037	C₂×M₁₆	—	53	1	no	—
1038	C₂×M₁₆	—	53	1	no	—
1039	C₂×M₁₆	—	53	1	no	—
1040	C₂×M₁₆	—	53	1	no	—
1041	C₂²×C₈	—	53	1	no	—
1042	C₂²×C₈	—	53	1	no	—
1043	C₂²×C₈	—	53	1	no	—
1044	C₂²×C₈	—	53	1	no	—
1045	C₂²×C₈	—	53	1	no	—
1046	C₂²×C₈	—	53	1	no	—
1047	C₂²×C₈	—	53	1	no	—
1048	C₂²×C₈	—	53	1	no	—
1049	C₂²×C₈	—	53	1	no	—
1050	C₂²×C₈	—	53	1	no	—
1051	C₄⋊Q₈	—	53	1	no	—
1052	C₄⋊Q₈	—	53	1	no	—
1053	C₄⋊Q₈	—	53	1	no	—
1054	C₄⋊Q₈	—	53	1	no	—
1055	C₄⋊Q₈	—	53	1	no	—
1056	C₄⋊Q₈	C₂×#6157	1	1	yes	characteristic
1057	#126	—	53	1	no	—
1058	#126	—	53	1	no	—
1059	#126	—	53	1	no	—
1060	#126	—	53	1	no	—
1061	#126	—	53	1	no	—
1062	#126	—	53	1	no	—
1063	#126	—	53	1	no	—
1064	#126	—	53	1	no	—
1065	#126	C₂×#6157	1	1	yes	characteristic
1066	#126	C₂×#6157	1	1	yes	characteristic
1067	#126	C₂×#6157	1	1	yes	characteristic
1068	#126	C₂×#6157	1	1	yes	characteristic
1069	#125	—	53	1	no	—
1070	#125	—	53	1	no	—
1071	#125	—	53	1	no	—
1072	#125	—	53	1	no	—
1073	#125	—	53	1	no	—
1074	#125	—	53	1	no	—
1075	#125	—	53	1	no	—
1076	#125	—	53	1	no	—
1077	#125	—	53	1	no	—
1078	#125	—	53	1	no	—
1079	#125	—	53	1	no	—
1080	#125	—	53	1	no	—
1081	#124	—	53	1	no	—
1082	#124	—	53	1	no	—
1083	#124	—	53	1	no	—
1084	#124	—	53	1	no	—
1085	#124	C₂×#6157	1	1	yes	characteristic
1086	#124	C₂×#6157	1	1	yes	characteristic
1087	#123	—	53	1	no	—
1088	#123	—	53	1	no	—
1089	#123	—	53	1	no	—
1090	#123	—	53	1	no	—
1091	#123	—	53	1	no	—
1092	#123	—	53	1	no	—
1093	#123	—	53	1	no	—
1094	#123	—	53	1	no	—
1095	#123	—	53	1	no	—
1096	#123	—	53	1	no	—
1097	#123	—	53	1	no	—
1098	#123	—	53	1	no	—
1099	C₂²⋊Q₈	—	53	1	no	—
1100	C₂²⋊Q₈	—	53	1	no	—
1101	C₂²⋊Q₈	—	53	1	no	—
1102	C₂²⋊Q₈	—	53	1	no	—
1103	C₂²⋊Q₈	—	53	1	no	—
1104	C₂²⋊Q₈	—	53	1	no	—
1105	C₂²⋊Q₈	—	53	1	no	—
1106	C₂²⋊Q₈	—	53	1	no	—
1107	C₂²⋊Q₈	—	53	1	no	—
1108	C₂²⋊Q₈	—	53	1	no	—
1109	C₂²⋊Q₈	—	53	1	no	—
1110	C₂²⋊Q₈	—	53	1	no	—
1111	C₂²⋊Q₈	—	53	1	no	—
1112	C₂²⋊Q₈	—	53	1	no	—
1113	C₂²⋊Q₈	—	53	1	no	—
1114	C₂²⋊Q₈	—	53	1	no	—
1115	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1116	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1117	#121	—	53	1	no	—
1118	#121	—	53	1	no	—
1119	#121	—	53	1	no	—
1120	#121	—	53	1	no	—
1121	#121	—	53	1	no	—
1122	#121	—	53	1	no	—
1123	C₄×Q₈	—	53	1	no	—
1124	C₄×Q₈	—	53	1	no	—
1125	C₄×Q₈	—	53	1	no	—
1126	C₄×Q₈	—	53	1	no	—
1127	C₄×Q₈	—	53	1	no	—
1128	C₄×Q₈	—	53	1	no	—
1129	C₄×Q₈	—	53	1	no	—
1130	C₄×Q₈	—	53	1	no	—
1131	C₄×Q₈	—	53	1	no	—
1132	C₄×Q₈	—	53	1	no	—
1133	C₄×Q₈	—	53	1	no	—
1134	C₄×Q₈	—	53	1	no	—
1135	C₄×Q₈	—	53	1	no	—
1136	C₄×Q₈	—	53	1	no	—
1137	C₄×Q₈	—	53	1	no	—
1138	C₄×Q₈	—	53	1	no	—
1139	C₄×Q₈	—	53	1	no	—
1140	C₄×Q₈	—	53	1	no	—
1141	C₄×Q₈	—	53	1	no	—
1142	C₄×Q₈	C₂×#6157	1	1	yes	characteristic
1143	C₄×Q₈	C₂×#6157	1	1	yes	characteristic
1144	C₄×Q₈	C₂×#6157	1	1	yes	characteristic
1145	C₄×D₄	—	53	1	no	—
1146	C₄×D₄	—	53	1	no	—
1147	C₄×D₄	—	53	1	no	—
1148	C₄×D₄	—	53	1	no	—
1149	C₄×D₄	—	53	1	no	—
1150	C₄×D₄	—	53	1	no	—
1151	C₄×D₄	—	53	1	no	—
1152	C₄×D₄	—	53	1	no	—
1153	C₄×D₄	—	53	1	no	—
1154	C₄×D₄	—	53	1	no	—
1155	C₄×D₄	—	53	1	no	—
1156	C₄×D₄	—	53	1	no	—
1157	C₄×D₄	—	53	1	no	—
1158	C₄×D₄	—	53	1	no	—
1159	C₄×D₄	—	53	1	no	—
1160	C₄×D₄	—	53	1	no	—
1161	C₄×D₄	—	53	1	no	—
1162	C₄×D₄	—	53	1	no	—
1163	C₄×D₄	—	53	1	no	—
1164	C₄×D₄	—	53	1	no	—
1165	C₄×D₄	—	53	1	no	—
1166	C₄×D₄	C₂×#6157	1	1	yes	characteristic
1167	#117	—	53	1	no	—
1168	#117	—	53	1	no	—
1169	#117	—	53	1	no	—
1170	#117	—	53	1	no	—
1171	#117	—	53	1	no	—
1172	#117	—	53	1	no	—
1173	#117	—	53	1	no	—
1174	#117	—	53	1	no	—
1175	#117	—	53	1	no	—
1176	#117	—	53	1	no	—
1177	#117	—	53	1	no	—
1178	#117	—	53	1	no	—
1179	#117	—	53	1	no	—
1180	#117	—	53	1	no	—
1181	#117	—	53	1	no	—
1182	#117	—	53	1	no	—
1183	#117	C₂×#6157	1	1	yes	characteristic
1184	#117	C₂×#6157	1	1	yes	characteristic
1185	C₂×C₄⋊C₄	—	53	1	no	—
1186	C₂×C₄⋊C₄	—	53	1	no	—
1187	C₂×C₄⋊C₄	—	53	1	no	—
1188	C₂×C₄⋊C₄	—	53	1	no	—
1189	C₂×C₄⋊C₄	—	53	1	no	—
1190	C₂×C₄⋊C₄	—	53	1	no	—
1191	C₂×C₄²	—	53	1	no	—
1192	C₂×C₄²	—	53	1	no	—
1193	C₂×C₄²	—	53	1	no	—
1194	C₂×C₄²	—	53	1	no	—
1195	C₂×C₄²	—	53	1	no	—
1196	C₂×C₄²	—	53	1	no	—
1197	C₂×C₄²	—	53	1	no	—
1198	C₂×C₄²	—	53	1	no	—
1199	C₂×C₄²	—	53	1	no	—
1200	C₄⋊C₈	—	53	1	no	—
1201	C₄⋊C₈	—	53	1	no	—
1202	C₄⋊C₈	—	53	1	no	—
1203	C₄⋊C₈	—	53	1	no	—
1204	C₄⋊C₈	—	53	1	no	—
1205	C₄⋊C₈	—	53	1	no	—
1206	C₄⋊C₈	—	53	1	no	—
1207	C₄⋊C₈	—	53	1	no	—
1208	C₄⋊C₈	—	53	1	no	—
1209	C₄⋊C₈	—	53	1	no	—
1210	C₄⋊C₈	—	53	1	no	—
1211	C₄⋊C₈	—	53	1	no	—
1212	C₄⋊C₈	—	53	1	no	—
1213	C₄⋊C₈	—	53	1	no	—
1214	C₄⋊C₈	—	53	1	no	—
1215	C₄⋊C₈	—	53	1	no	—
1216	C₄⋊C₈	—	53	1	no	—
1217	C₄⋊C₈	—	53	1	no	—
1218	C₄⋊C₈	—	53	1	no	—
1219	C₄⋊C₈	—	53	1	no	—
1220	C₄⋊C₈	—	53	1	no	—
1221	C₄⋊C₈	—	53	1	no	—
1222	C₄⋊C₈	—	53	1	no	—
1223	C₄⋊C₈	—	53	1	no	—
1224	C₄⋊C₈	—	53	1	no	—
1225	C₄⋊C₈	—	53	1	no	—
1226	C₄⋊C₈	—	53	1	no	—
1227	C₄⋊C₈	—	53	1	no	—
1228	C₄⋊C₈	—	53	1	no	—
1229	C₄⋊C₈	—	53	1	no	—
1230	C₄⋊C₈	—	53	1	no	—
1231	C₄⋊C₈	—	53	1	no	—
1232	C₄⋊C₈	—	53	1	no	—
1233	C₄⋊C₈	—	53	1	no	—
1234	C₄⋊C₈	—	53	1	no	—
1235	C₄⋊C₈	—	53	1	no	—
1236	C₄⋊C₈	—	53	1	no	—
1237	C₄⋊C₈	—	53	1	no	—
1238	C₄⋊C₈	—	53	1	no	—
1239	C₄⋊C₈	—	53	1	no	—
1240	C₂²⋊C₈	—	53	1	no	—
1241	C₂²⋊C₈	—	53	1	no	—
1242	C₂²⋊C₈	—	53	1	no	—
1243	C₂²⋊C₈	—	53	1	no	—
1244	C₂²⋊C₈	—	53	1	no	—
1245	C₂²⋊C₈	—	53	1	no	—
1246	C₂²⋊C₈	—	53	1	no	—
1247	C₂²⋊C₈	—	53	1	no	—
1248	C₂²⋊C₈	—	53	1	no	—
1249	C₂²⋊C₈	—	53	1	no	—
1250	C₂²⋊C₈	—	53	1	no	—
1251	C₂²⋊C₈	—	53	1	no	—
1252	C₂²⋊C₈	—	53	1	no	—
1253	C₂²⋊C₈	—	53	1	no	—
1254	C₂²⋊C₈	—	53	1	no	—
1255	C₂²⋊C₈	—	53	1	no	—
1256	C₂²⋊C₈	—	53	1	no	—
1257	C₂²⋊C₈	—	53	1	no	—
1258	C₂²⋊C₈	—	53	1	no	—
1259	C₂²⋊C₈	—	53	1	no	—
1260	#97	—	53	1	no	—
1261	#97	—	53	1	no	—
1262	#97	—	53	1	no	—
1263	#97	—	53	1	no	—
1264	#97	—	53	1	no	—
1265	#97	—	53	1	no	—
1266	#97	—	53	1	no	—
1267	#97	—	53	1	no	—
1268	#97	—	53	1	no	—
1269	#97	—	53	1	no	—
1270	#97	—	53	1	no	—
1271	#97	—	53	1	no	—
1272	#97	—	53	1	no	—
1273	#97	—	53	1	no	—
1274	#97	—	53	1	no	—
1275	#97	—	53	1	no	—
1276	#97	—	53	1	no	—
1277	#97	—	53	1	no	—
1278	#97	—	53	1	no	—
1279	#97	—	53	1	no	—
1280	#97	—	53	1	no	—
1281	#97	—	53	1	no	—
1282	#97	—	53	1	no	—
1283	#97	—	53	1	no	—
1284	C₄×C₈	—	53	1	no	—
1285	C₄×C₈	—	53	1	no	—
1286	C₄×C₈	—	53	1	no	—
1287	C₄×C₈	—	53	1	no	—
1288	C₄×C₈	—	53	1	no	—
1289	C₄×C₈	—	53	1	no	—
1290	C₄×C₈	—	53	1	no	—
1291	C₄×C₈	—	53	1	no	—
1292	C₄×C₈	—	53	1	no	—
1293	C₄×C₈	—	53	1	no	—
1294	C₄×C₈	—	53	1	no	—
1295	C₄×C₈	—	53	1	no	—
1296	C₄×C₈	—	53	1	no	—
1297	C₄×C₈	—	53	1	no	—
1298	C₄×C₈	—	53	1	no	—
1299	C₄×C₈	—	53	1	no	—
1300	#41	—	212	2	no	—
1301	#41	—	212	2	no	—
1302	#41	—	212	2	no	—
1303	#41	—	212	2	no	—
1304	C₂×Q₈	—	53	1	no	—
1305	C₂×Q₈	—	53	1	no	—
1306	C₂×Q₈	—	53	1	no	—
1307	C₂×Q₈	—	53	1	no	—
1308	C₂×Q₈	—	53	1	no	—
1309	C₂×Q₈	—	53	1	no	—
1310	C₂×Q₈	—	53	1	no	—
1311	C₂×Q₈	—	212	2	no	—
1312	C₂×Q₈	—	212	2	no	—
1313	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1314	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1315	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1316	C₂×D₄	—	53	1	no	—
1317	C₂×D₄	—	53	1	no	—
1318	C₂×D₄	—	53	1	no	—
1319	C₂×D₄	—	53	1	no	—
1320	C₂×D₄	—	53	1	no	—
1321	C₂×D₄	—	53	1	no	—
1322	C₂×D₄	—	53	1	no	—
1323	C₂×D₄	—	53	1	no	—
1324	C₂×D₄	—	53	1	no	—
1325	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1326	C₂²×C₄	—	53	1	no	—
1327	C₂²×C₄	—	53	1	no	—
1328	C₂²×C₄	—	53	1	no	—
1329	C₂²×C₄	—	53	1	no	—
1330	C₂²×C₄	—	53	1	no	—
1331	C₂²×C₄	—	53	1	no	—
1332	C₂²×C₄	—	53	1	no	—
1333	C₂²×C₄	—	53	1	no	—
1334	C₂²×C₄	—	53	1	no	—
1335	C₂²×C₄	—	53	1	no	—
1336	C₂²×C₄	—	53	1	no	—
1337	C₂²×C₄	—	53	1	no	—
1338	C₂²×C₄	—	53	1	no	—
1339	C₂²×C₄	—	53	1	no	—
1340	C₂²×C₄	—	53	1	no	—
1341	C₂²×C₄	—	53	1	no	—
1342	C₂²×C₄	—	53	1	no	—
1343	C₂²×C₄	—	53	1	no	—
1344	C₂²×C₄	—	53	1	no	—
1345	C₂²×C₄	—	53	1	no	—
1346	C₂²×C₄	—	53	1	no	—
1347	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1348	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1349	M₁₆	—	106	2	no	—
1350	M₁₆	—	106	2	no	—
1351	M₁₆	—	212	1	no	—
1352	M₁₆	—	212	1	no	—
1353	M₁₆	—	212	1	no	—
1354	M₁₆	—	212	1	no	—
1355	M₁₆	—	212	1	no	—
1356	M₁₆	—	212	1	no	—
1357	M₁₆	—	212	1	no	—
1358	M₁₆	—	212	1	no	—
1359	C₂×C₈	—	53	1	no	—
1360	C₂×C₈	—	53	1	no	—
1361	C₂×C₈	—	53	1	no	—
1362	C₂×C₈	—	53	1	no	—
1363	C₂×C₈	—	53	1	no	—
1364	C₂×C₈	—	53	1	no	—
1365	C₂×C₈	—	53	1	no	—
1366	C₂×C₈	—	53	1	no	—
1367	C₂×C₈	—	53	1	no	—
1368	C₂×C₈	—	53	1	no	—
1369	C₂×C₈	—	53	1	no	—
1370	C₂×C₈	—	53	1	no	—
1371	C₂×C₈	—	53	1	no	—
1372	C₂×C₈	—	53	1	no	—
1373	C₂×C₈	—	53	1	no	—
1374	C₂×C₈	—	53	1	no	—
1375	C₂×C₈	—	106	2	no	—
1376	C₂×C₈	—	106	2	no	—
1377	C₂×C₈	—	106	2	no	—
1378	C₂×C₈	—	212	1	no	—
1379	C₂×C₈	—	212	1	no	—
1380	C₂×C₈	—	212	1	no	—
1381	C₂×C₈	—	212	1	no	—
1382	C₂×C₈	—	212	1	no	—
1383	C₂×C₈	—	212	1	no	—
1384	C₂×C₈	—	212	1	no	—
1385	C₄⋊C₄	—	53	1	no	—
1386	C₄⋊C₄	—	53	1	no	—
1387	C₄⋊C₄	—	53	1	no	—
1388	C₄⋊C₄	—	53	1	no	—
1389	C₄⋊C₄	—	53	1	no	—
1390	C₄⋊C₄	—	53	1	no	—
1391	C₄⋊C₄	—	53	1	no	—
1392	C₄⋊C₄	—	53	1	no	—
1393	C₄⋊C₄	—	53	1	no	—
1394	C₄⋊C₄	—	53	1	no	—
1395	C₄⋊C₄	—	53	1	no	—
1396	C₄⋊C₄	—	53	1	no	—
1397	C₄⋊C₄	—	53	1	no	—
1398	C₄⋊C₄	—	53	1	no	—
1399	C₄⋊C₄	—	53	1	no	—
1400	C₄⋊C₄	—	53	1	no	—
1401	C₄⋊C₄	—	53	1	no	—
1402	C₄⋊C₄	—	53	1	no	—
1403	C₄⋊C₄	—	53	1	no	—
1404	C₄⋊C₄	—	53	1	no	—
1405	C₄⋊C₄	—	53	1	no	—
1406	C₄⋊C₄	—	53	1	no	—
1407	C₄⋊C₄	—	53	1	no	—
1408	C₄⋊C₄	—	53	1	no	—
1409	C₄⋊C₄	—	53	1	no	—
1410	C₄⋊C₄	—	53	1	no	—
1411	C₄⋊C₄	—	53	1	no	—
1412	C₄⋊C₄	—	53	1	no	—
1413	C₄⋊C₄	—	53	1	no	—
1414	C₄⋊C₄	—	53	1	no	—
1415	C₄⋊C₄	—	53	1	no	—
1416	C₄⋊C₄	—	53	1	no	—
1417	C₄⋊C₄	—	53	1	no	—
1418	C₄⋊C₄	—	53	1	no	—
1419	C₄⋊C₄	—	53	1	no	—
1420	C₄⋊C₄	—	53	1	no	—
1421	C₄⋊C₄	—	53	1	no	—
1422	C₄⋊C₄	—	53	1	no	—
1423	C₄⋊C₄	—	53	1	no	—
1424	C₄⋊C₄	—	53	1	no	—
1425	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1426	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1427	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1428	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1429	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1430	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1431	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1432	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1433	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1434	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1435	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1436	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1437	C₂²⋊C₄	—	53	1	no	—
1438	C₂²⋊C₄	—	53	1	no	—
1439	C₂²⋊C₄	—	53	1	no	—
1440	C₂²⋊C₄	—	53	1	no	—
1441	C₂²⋊C₄	—	53	1	no	—
1442	C₂²⋊C₄	—	53	1	no	—
1443	C₂²⋊C₄	—	53	1	no	—
1444	C₂²⋊C₄	—	53	1	no	—
1445	C₂²⋊C₄	—	53	1	no	—
1446	C₂²⋊C₄	—	53	1	no	—
1447	C₂²⋊C₄	—	53	1	no	—
1448	C₂²⋊C₄	—	53	1	no	—
1449	C₂²⋊C₄	—	53	1	no	—
1450	C₂²⋊C₄	—	53	1	no	—
1451	C₂²⋊C₄	—	53	1	no	—
1452	C₂²⋊C₄	—	53	1	no	—
1453	C₂²⋊C₄	—	53	1	no	—
1454	C₂²⋊C₄	—	53	1	no	—
1455	C₂²⋊C₄	—	53	1	no	—
1456	C₂²⋊C₄	—	53	1	no	—
1457	C₂²⋊C₄	—	53	1	no	—
1458	C₂²⋊C₄	—	53	1	no	—
1459	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1460	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1461	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1462	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1463	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1464	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1465	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1466	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1467	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1468	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1469	C₄²	—	53	1	no	—
1470	C₄²	—	53	1	no	—
1471	C₄²	—	53	1	no	—
1472	C₄²	—	53	1	no	—
1473	C₄²	—	53	1	no	—
1474	C₄²	—	53	1	no	—
1475	C₄²	—	53	1	no	—
1476	C₄²	—	53	1	no	—
1477	C₄²	—	53	1	no	—
1478	C₄²	—	53	1	no	—
1479	C₄²	—	53	1	no	—
1480	C₄²	—	53	1	no	—
1481	C₄²	—	53	1	no	—
1482	C₄²	—	53	1	no	—
1483	C₄²	—	53	1	no	—
1484	C₄²	—	53	1	no	—
1485	C₄²	—	53	1	no	—
1486	C₄²	—	53	1	no	—
1487	C₄²	—	53	1	no	—
1488	C₄²	—	53	1	no	—
1489	C₄²	—	53	1	no	—
1490	C₄²	C₂²×#6157	1	1	yes	characteristic
1491	C₄²	C₂²×#6157	1	1	yes	characteristic
1492	C₄²	C₂²×#6157	1	1	yes	characteristic
1493	C₄²	C₂²×#6157	1	1	yes	characteristic
1494	C₄²	C₂²×#6157	1	1	yes	characteristic
1495	C₄²	C₂²×#6157	1	1	yes	characteristic
1496	C₄²	C₂²×#6157	1	1	yes	characteristic
1497	C₂³	—	53	1	no	—
1498	C₂³	—	53	1	no	—
1499	C₂³	—	53	1	no	—
1500	C₂³	C₂³×#6157	1	1	yes	characteristic
1501	C₂³	C₂³×#6157	1	1	yes	characteristic
1502	Q₈	—	4	1	no	—
1503	Q₈	—	4	1	no	—
1504	Q₈	—	4	1	no	—
1505	Q₈	—	106	2	no	—
1506	Q₈	—	106	2	no	—
1507	Q₈	—	106	2	no	—
1508	Q₈	—	212	1	no	—
1509	Q₈	—	212	1	no	—
1510	Q₈	—	212	1	no	—
1511	Q₈	—	212	1	no	—
1512	D₄	—	4	1	no	—
1513	D₄	—	106	2	no	—
1514	D₄	—	106	2	no	—
1515	D₄	—	106	2	no	—
1516	D₄	—	106	2	no	—
1517	D₄	—	106	2	no	—
1518	D₄	—	212	1	no	—
1519	D₄	—	212	1	no	—
1520	D₄	—	212	1	no	—
1521	D₄	—	212	1	no	—
1522	C₂×C₄	—	4	1	no	—
1523	C₂×C₄	—	4	1	no	—
1524	C₂×C₄	—	53	1	no	—
1525	C₂×C₄	—	53	1	no	—
1526	C₂×C₄	—	53	1	no	—
1527	C₂×C₄	—	53	1	no	—
1528	C₂×C₄	—	53	1	no	—
1529	C₂×C₄	—	53	1	no	—
1530	C₂×C₄	—	53	1	no	—
1531	C₂×C₄	—	53	1	no	—
1532	C₂×C₄	—	53	1	no	—
1533	C₂×C₄	—	53	1	no	—
1534	C₂×C₄	—	53	1	no	—
1535	C₂×C₄	—	53	1	no	—
1536	C₂×C₄	—	53	1	no	—
1537	C₂×C₄	—	106	1	no	—
1538	C₂×C₄	—	106	1	no	—
1539	C₂×C₄	—	106	1	no	—
1540	C₂×C₄	—	106	1	no	—
1541	C₂×C₄	—	106	1	no	—
1542	C₂×C₄	—	106	1	no	—
1543	C₂×C₄	—	106	2	no	—
1544	C₂×C₄	—	106	2	no	—
1545	C₂×C₄	—	106	2	no	—
1546	C₂×C₄	—	106	2	no	—
1547	C₂×C₄	—	106	2	no	—
1548	C₂×C₄	—	106	1	no	—
1549	C₂×C₄	—	106	1	no	—
1550	C₂×C₄	—	106	1	no	—
1551	C₂×C₄	—	106	1	no	—
1552	C₂×C₄	—	106	2	no	—
1553	C₂×C₄	—	212	1	no	—
1554	C₂×C₄	—	212	1	no	—
1555	C₂×C₄	—	212	1	no	—
1556	C₂×C₄	—	212	1	no	—
1557	C₂×C₄	—	212	1	no	—
1558	C₂×C₄	—	212	1	no	—
1559	C₂×C₄	—	212	1	no	—
1560	C₂×C₄	—	212	1	no	—
1561	C₂×C₄	—	212	1	no	—
1562	C₂×C₄	—	212	1	no	—
1563	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1564	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1565	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1566	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1567	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1568	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1569	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1570	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1571	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1572	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1573	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1574	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1575	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1576	C₈	—	53	2	no	—
1577	C₈	—	106	1	no	—
1578	C₈	—	106	1	no	—
1579	C₈	—	106	1	no	—
1580	C₈	—	106	1	no	—
1581	C₈	—	106	1	no	—
1582	C₈	—	106	1	no	—
1583	C₈	—	106	1	no	—
1584	C₈	—	106	1	no	—
1585	C₈	—	106	1	no	—
1586	C₈	—	106	1	no	—
1587	C₈	—	106	1	no	—
1588	C₈	—	106	1	no	—
1589	C₈	—	106	1	no	—
1590	C₈	—	106	1	no	—
1591	C₈	—	106	1	no	—
1592	C₂²	—	2	1	no	—
1593	C₂²	—	2	1	no	—
1594	C₂²	—	2	1	no	—
1595	C₂²	—	2	1	no	—
1596	C₂²	—	2	1	no	—
1597	C₂²	—	2	1	no	—
1598	C₂²	—	53	2	no	—
1599	C₂²	—	106	1	no	—
1600	C₂²	—	106	1	no	—
1601	C₂²	—	106	1	no	—
1602	C₂²	—	106	1	no	—
1603	C₂²	—	106	1	no	—
1604	C₂²	—	106	1	no	—
1605	C₂²	—	106	1	no	—
1606	C₂²	—	106	1	no	—
1607	C₂²	C₂⁴×#6157	1	1	yes	characteristic
1608	C₄	—	2	1	no	—
1609	C₄	—	2	1	no	—
1610	C₄	—	2	1	no	—
1611	C₄	—	2	1	no	—
1612	C₄	—	2	1	no	—
1613	C₄	—	2	1	no	—
1614	C₄	—	2	1	no	—
1615	C₄	—	2	1	no	—
1616	C₄	—	2	1	no	—
1617	C₄	—	2	1	no	—
1618	C₄	—	2	1	no	—
1619	C₄	—	2	1	no	—
1620	C₄	—	2	1	no	—
1621	C₄	—	53	1	no	—
1622	C₄	—	53	1	no	—
1623	C₄	—	53	2	no	—
1624	C₄	—	106	1	no	—
1625	C₄	—	106	1	no	—
1626	C₄	—	106	1	no	—
1627	C₄	—	106	1	no	—
1628	C₄	—	106	1	no	—
1629	C₄	—	106	1	no	—
1630	C₄	—	106	1	no	—
1631	C₄	—	106	1	no	—
1632	C₄	—	106	1	no	—
1633	C₄	—	106	1	no	—
1634	C₄	—	106	1	no	—
1635	C₂	—	4	1	no	—
1636	C₂	—	4	1	no	—
1637	C₂	—	106	2	no	—
1638	C₂	—	212	1	no	—
1639	C₂	—	212	1	no	—
1640	C₂	2₋¹⁺⁴×#6157	1	1	yes	characteristic
1641	C₂	D₅₃⋊#568	1	1	yes	characteristic
1642	C₂	D₅₃⋊#568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#6157
commutator, socle	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#556	C₄
prime radical	#20288334	C₂
cosocle	C₂×Dic₅₃	C₂⁵
hypercenter	#556	#6157
hypocenter	C₅₃	#60342
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #556

Complements

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

N	H ≅ G/N	type
1. #20291671	C₂	semidirect
2. #20291670	C₂	semidirect
3. #20291664	C₂	semidirect
4. #20291659	C₂	semidirect
5. #20291653	C₂	semidirect
6. #20291652	C₂	semidirect
7. #20291644	C₂	semidirect
8. #20291639	C₂	semidirect
9. #20291637	C₂	semidirect
10. #20291635	C₂	semidirect
11. #20291629	C₂	semidirect
12. #20291627	C₂	semidirect
13. #20291621	C₂	semidirect
14. #20291616	C₂	semidirect
15. #20291612	C₂	semidirect
16. #20291557	C₂	semidirect
17. #20291555	C₂	semidirect
18. #20291554	C₂	semidirect
19. #20291550	C₂	semidirect
20. #20291545	C₂	semidirect
21. #20291541	C₂	semidirect
22. #20291538	C₂	semidirect
23. #20291535	C₂	semidirect
24. #20291533	C₂	semidirect
25. #20291526	C₂	semidirect
26. #20291517	C₂	semidirect
27. #20291512	C₂	semidirect
28. #20291508	C₂	semidirect
29. #20291506	C₂	semidirect
30. D₅₃⋊#446	C₂	semidirect
1024. C₅₃	#60342	semidirect

Maximal subgroups

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

subgroup	index
#20291671	2
#20291670	2
#20291664	2
#20291659	2
#20291653	2
#20291652	2
#20291644	2
#20291639	2
#20291637	2
#20291635	2
#20291629	2
#20291627	2
#20291621	2
#20291616	2
#20291612	2
#20291557	2
#20291555	2
#20291554	2
#20291550	2
#20291545	2
#20291541	2
#20291538	2
#20291535	2
#20291533	2
#20291526	2
#20291517	2
#20291512	2
#20291508	2
#20291506	2
D₅₃⋊#446	2
#20288334	2
#60342	53