Subgroups — #7712875

Order 512.

6506 conjugacy classes of subgroups.

The subgroup lattice has 977 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#47898	C₂	1	8	yes	maximal, complemented
2	#47878	C₂	1	8	yes	maximal, complemented
3	#47004	C₂	1	4	yes	maximal, complemented
4	#46999	C₂	1	1	yes	maximal, characteristic, complemented
5	#46997	C₂	1	2	yes	maximal, complemented
6	#46996	C₂	1	1	yes	maximal, characteristic, complemented
7	#46837	C₂	1	1	yes	maximal, characteristic, complemented
8	#46398	C₂	1	4	yes	maximal, complemented
9	#46387	C₂	1	1	yes	maximal, characteristic, complemented
10	#46386	C₂	1	2	yes	maximal, complemented
11	#37964	C₂	1	8	yes	maximal, complemented
12	#37776	C₂	1	8	yes	maximal, complemented
13	#37475	C₂	1	1	yes	maximal, characteristic, complemented
14	#37436	C₂	1	1	yes	maximal, characteristic, complemented
15	#36974	C₂	1	4	yes	maximal, complemented
16	#35050	C₂	1	4	yes	maximal, complemented
17	#34980	C₂	1	2	yes	maximal, complemented
18	#34356	C₂	1	2	yes	maximal, complemented
19	C₂×#2308	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂⁴×D₄	C₂²	1	1	yes	characteristic
21	C₂×#534	C₂²	1	4	yes	complemented
22	C₂×#525	C₂²	1	4	yes	complemented
23	C₂²×#120	C₂²	1	2	yes	—
24	C₂³×C₂²⋊C₄	C₂²	1	2	yes	complemented
25	#2849	C₂²	1	4	yes	complemented
26	#2849	C₂²	1	8	yes	complemented
27	#2846	C₂²	1	4	yes	complemented
28	#2842	C₂²	1	2	yes	complemented
29	#2842	C₂²	1	1	yes	characteristic, complemented
30	#2840	C₂²	1	1	yes	characteristic, complemented
31	#2812	C₂²	1	4	yes	complemented
32	#2771	C₂²	1	4	yes	complemented
33	#2765	C₂²	1	8	yes	complemented
34	#2764	C₂²	1	4	yes	complemented
35	#2761	C₂²	1	8	yes	complemented
36	#2760	C₂²	1	4	yes	complemented
37	#2760	C₂²	1	8	yes	complemented
38	#2752	C₂²	1	4	yes	complemented
39	#2751	C₂²	1	8	yes	complemented
40	#2750	C₂²	1	8	yes	complemented
41	#2750	C₂²	1	8	yes	complemented
42	#2749	C₂²	1	8	yes	complemented
43	#2749	C₂²	1	8	yes	complemented
44	#2746	C₂²	1	8	yes	complemented
45	#2743	C₂²	1	8	yes	complemented
46	#2743	C₂²	1	8	yes	complemented
47	#2743	C₂²	1	8	yes	complemented
48	#2708	C₂²	1	8	yes	complemented
49	#2706	C₂²	1	8	yes	complemented
50	#2703	C₂²	1	8	yes	complemented
51	#2697	C₂²	1	8	yes	complemented
52	#2696	C₂²	1	8	yes	complemented
53	#2693	C₂²	1	8	yes	complemented
54	#2688	C₂²	1	8	yes	complemented
55	#2687	C₂²	1	8	yes	complemented
56	#2681	C₂²	1	8	yes	complemented
57	#2678	C₂²	1	8	yes	complemented
58	#2626	C₂²	1	4	yes	complemented
59	#2626	C₂²	1	4	yes	complemented
60	#2626	C₂²	1	8	yes	complemented
61	#2622	C₂²	1	4	yes	complemented
62	#2617	C₂²	1	4	yes	—
63	#2617	C₂²	1	4	yes	complemented
64	#2613	C₂²	1	8	yes	—
65	#2613	C₂²	1	4	yes	complemented
66	#2609	C₂²	1	8	yes	complemented
67	#2598	C₂²	1	8	yes	complemented
68	#2576	C₂²	1	8	yes	complemented
69	#2572	C₂²	1	8	yes	complemented
70	#2561	C₂²	1	4	yes	complemented
71	#2561	C₂²	1	4	yes	complemented
72	#2539	C₂²	1	4	yes	complemented
73	#2539	C₂²	1	4	yes	complemented
74	#2534	C₂²	1	8	yes	complemented
75	#2534	C₂²	1	8	yes	complemented
76	#2493	C₂²	1	8	yes	complemented
77	#2488	C₂²	1	8	yes	complemented
78	#2483	C₂²	1	1	yes	characteristic, complemented
79	#2482	C₂²	1	4	yes	complemented
80	#2482	C₂²	1	4	yes	complemented
81	#2477	C₂²	1	8	yes	complemented
82	#2476	C₂²	1	8	yes	complemented
83	#2471	C₂²	1	8	yes	complemented
84	#2471	C₂²	1	8	yes	complemented
85	#2470	C₂²	1	8	yes	complemented
86	#2457	C₂²	1	8	yes	complemented
87	#2457	C₂²	1	8	yes	complemented
88	#2456	C₂²	1	8	yes	complemented
89	#2437	C₂²	1	8	yes	complemented
90	#2437	C₂²	1	4	yes	complemented
91	#2425	C₂²	1	8	yes	complemented
92	#2420	C₂²	1	8	yes	complemented
93	#2419	C₂²	1	8	yes	complemented
94	#2418	C₂²	1	8	yes	complemented
95	#2412	C₂²	1	4	yes	complemented
96	#2411	C₂²	1	8	yes	complemented
97	#2411	C₂²	1	8	yes	complemented
98	#2410	C₂²	1	8	yes	—
99	#2410	C₂²	1	4	yes	complemented
100	#2410	C₂²	1	4	yes	complemented
101	#2410	C₂²	1	4	yes	complemented
102	#2407	C₂²	1	8	yes	complemented
103	#2405	C₂²	1	2	yes	—
104	#2405	C₂²	1	2	yes	—
105	#2405	C₂²	1	4	yes	complemented
106	#2405	C₂²	1	2	yes	complemented
107	#2404	C₂²	1	4	yes	complemented
108	#2404	C₂²	1	4	yes	complemented
109	#2404	C₂²	1	8	yes	complemented
110	#2403	C₂²	1	2	yes	—
111	#2403	C₂²	1	2	yes	—
112	#2403	C₂²	1	4	yes	complemented
113	#2403	C₂²	1	1	yes	characteristic, complemented
114	#2375	C₂²	1	8	yes	complemented
115	#2358	C₂²	1	8	yes	complemented
116	#2342	C₂²	1	4	yes	complemented
117	#2342	C₂²	1	4	yes	complemented
118	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
119	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
120	#2321	C₂²	1	8	yes	complemented
121	#2321	C₂²	1	8	yes	complemented
122	#2321	C₂²	1	8	yes	complemented
123	#2312	C₂²	1	2	yes	complemented
124	#2312	C₂²	1	2	yes	complemented
125	#2309	C₂²	1	2	yes	complemented
126	#2308	C₂²	1	1	yes	characteristic
127	#2308	C₂²	1	1	yes	characteristic
128	#2308	C₂²	1	1	yes	characteristic
129	#2308	C₂²	1	1	yes	characteristic
130	#2308	C₂²	1	8	yes	complemented
131	#2308	C₂²	1	2	yes	complemented
132	#2308	C₂²	1	4	yes	complemented
133	#2308	C₂²	1	2	yes	complemented
134	#2308	C₂²	1	2	yes	complemented
135	C₂×#386	C₂²	1	8	yes	complemented
136	#2280	C₂²	1	4	yes	complemented
137	C₂×#381	C₂²	1	2	yes	complemented
138	C₂×#379	C₂²	1	1	yes	characteristic
139	C₂×#379	C₂²	1	2	yes	—
140	C₂×#379	C₂²	1	1	yes	characteristic
141	C₂⁶	C₂³	1	1	yes	characteristic
142	C₂⁶	C₂³	1	1	yes	characteristic
143	C₂²×#41	C₂³	1	4	yes	complemented
144	C₂³×D₄	—	2	8	no	—
145	C₂³×D₄	—	4	8	no	—
146	C₂³×D₄	C₂³	1	4	yes	—
147	C₂³×D₄	C₂³	1	1	yes	characteristic
148	C₂³×D₄	C₂³	1	1	yes	characteristic
149	C₂³×D₄	C₂³	1	4	yes	—
150	C₂³×D₄	C₂³	1	1	yes	characteristic
151	C₂³×D₄	C₂³	1	1	yes	characteristic
152	C₂³×D₄	C₂³	1	2	yes	—
153	C₂³×D₄	C₂³	1	2	yes	—
154	C₂³×D₄	C₂³	1	2	yes	—
155	C₂⁴×C₄	C₂³	1	1	yes	characteristic
156	C₂⁴×C₄	C₂³	1	4	yes	—
157	#534	—	4	16	no	—
158	#525	—	4	16	no	—
159	C₂×#123	C₂³	1	8	yes	—
160	C₂×#123	C₂³	1	4	yes	—
161	C₂×#123	C₂³	1	4	yes	—
162	C₂×#123	C₂³	1	8	yes	complemented
163	C₂×#123	C₂³	1	8	yes	complemented
164	C₂×#123	C₂³	1	8	yes	complemented
165	C₂×#123	C₂³	1	4	yes	complemented
166	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
167	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
168	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
169	C₂×#121	C₂³	1	4	yes	—
170	C₂×#121	C₂³	1	8	yes	—
171	C₂×#121	C₂³	1	8	yes	—
172	C₂×#121	C₂³	1	4	yes	complemented
173	C₂×#120	—	2	16	no	—
174	C₂×#120	C₂³	1	4	yes	—
175	C₂×#120	C₂³	1	4	yes	—
176	C₂×#120	C₂³	1	8	yes	—
177	C₂×#120	C₂³	1	4	yes	—
178	C₂×#120	C₂³	1	4	yes	—
179	C₂×#120	C₂³	1	4	yes	—
180	C₂×#120	C₂³	1	4	yes	—
181	C₂×#120	C₂³	1	4	yes	—
182	C₂×#120	C₂³	1	4	yes	—
183	C₂×#120	C₂³	1	8	yes	—
184	C₂×#120	C₂³	1	4	yes	complemented
185	C₂×C₄×D₄	C₂³	1	8	yes	—
186	C₂×C₄×D₄	C₂³	1	8	yes	complemented
187	C₂×C₄×D₄	C₂³	1	8	yes	complemented
188	C₂×#117	C₂³	1	4	yes	complemented
189	C₂×#117	C₂³	1	4	yes	complemented
190	C₂×#117	C₂³	1	8	yes	complemented
191	C₂²×C₂²⋊C₄	—	4	8	no	—
192	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
193	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
194	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
195	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
196	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
197	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
198	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
201	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
202	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
204	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
206	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
207	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
208	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
209	C₂²×C₂²⋊C₄	C₂³	1	4	yes	complemented
210	#401	C₂³	1	8	yes	complemented
211	#400	C₂³	1	8	yes	complemented
212	#400	C₂³	1	8	yes	complemented
213	#400	C₂³	1	8	yes	complemented
214	#400	C₂³	1	8	yes	complemented
215	#400	C₂³	1	8	yes	complemented
216	#400	C₂³	1	8	yes	complemented
217	#399	C₂³	1	4	yes	—
218	#399	C₂³	1	4	yes	—
219	#399	C₂³	1	8	yes	complemented
220	#399	C₂³	1	4	yes	complemented
221	#399	C₂³	1	4	yes	complemented
222	#398	C₂³	1	8	yes	complemented
223	#398	C₂³	1	8	yes	complemented
224	#397	C₂³	1	4	yes	—
225	#397	C₂³	1	4	yes	—
226	#397	C₂³	1	4	yes	complemented
227	#397	C₂³	1	4	yes	complemented
228	#397	C₂³	1	8	yes	complemented
229	#397	C₂³	1	8	yes	complemented
230	#397	C₂³	1	8	yes	complemented
231	#397	C₂³	1	8	yes	complemented
232	#397	C₂³	1	8	yes	complemented
233	#396	C₂³	1	8	yes	—
234	#396	C₂³	1	8	yes	—
235	#396	C₂³	1	8	yes	complemented
236	#396	C₂³	1	8	yes	complemented
237	#396	C₂³	1	8	yes	complemented
238	#396	C₂³	1	8	yes	complemented
239	#396	C₂³	1	8	yes	complemented
240	#394	C₂³	1	8	yes	—
241	#394	C₂³	1	8	yes	—
242	#394	C₂³	1	8	yes	—
243	#394	C₂³	1	8	yes	—
244	#394	C₂³	1	8	yes	—
245	#394	C₂³	1	8	yes	—
246	#394	C₂³	1	8	yes	complemented
247	#394	C₂³	1	8	yes	complemented
248	#394	C₂³	1	8	yes	complemented
249	#394	C₂³	1	8	yes	complemented
250	#394	C₂³	1	8	yes	complemented
251	#393	C₂³	1	4	yes	—
252	#393	C₂³	1	4	yes	—
253	#393	C₂³	1	4	yes	complemented
254	#393	C₂³	1	4	yes	complemented
255	#393	C₂³	1	8	yes	complemented
256	#393	C₂³	1	8	yes	complemented
257	#392	C₂³	1	8	yes	—
258	#392	C₂³	1	8	yes	—
259	#392	C₂³	1	8	yes	—
260	#392	C₂³	1	8	yes	—
261	#392	C₂³	1	4	yes	—
262	#392	C₂³	1	4	yes	—
263	#392	C₂³	1	8	yes	complemented
264	#392	C₂³	1	4	yes	complemented
265	#392	C₂³	1	4	yes	complemented
266	#391	C₂³	1	8	yes	complemented
267	#390	C₂³	1	8	yes	—
268	#390	C₂³	1	8	yes	—
269	#390	C₂³	1	8	yes	complemented
270	#390	C₂³	1	8	yes	complemented
271	#390	C₂³	1	8	yes	complemented
272	#390	C₂³	1	8	yes	complemented
273	#389	C₂³	1	8	yes	complemented
274	#388	C₂³	1	8	yes	—
275	#388	C₂³	1	8	yes	—
276	#388	C₂³	1	8	yes	—
277	#388	C₂³	1	8	yes	—
278	#388	C₂³	1	8	yes	complemented
279	#388	C₂³	1	8	yes	complemented
280	#388	C₂³	1	8	yes	complemented
281	#388	C₂³	1	8	yes	complemented
282	#388	C₂³	1	8	yes	complemented
283	#388	C₂³	1	8	yes	complemented
284	#388	C₂³	1	8	yes	complemented
285	#388	C₂³	1	8	yes	complemented
286	#388	C₂³	1	8	yes	complemented
287	#388	C₂³	1	8	yes	complemented
288	#388	C₂³	1	8	yes	complemented
289	#387	C₂³	1	8	yes	complemented
290	#387	C₂³	1	8	yes	complemented
291	#387	C₂³	1	8	yes	complemented
292	#387	C₂³	1	8	yes	complemented
293	#387	C₂³	1	8	yes	complemented
294	#386	C₂³	1	8	yes	—
295	#386	C₂³	1	8	yes	—
296	#386	C₂³	1	8	yes	—
297	#386	C₂³	1	8	yes	—
298	#386	C₂³	1	8	yes	—
299	#386	C₂³	1	8	yes	—
300	#386	C₂³	1	8	yes	—
301	#386	C₂³	1	8	yes	—
302	#386	C₂³	1	4	yes	—
303	#386	C₂³	1	8	yes	—
304	#386	C₂³	1	8	yes	—
305	#386	C₂³	1	8	yes	—
306	#386	C₂³	1	4	yes	—
307	#386	C₂³	1	4	yes	—
308	#386	C₂³	1	4	yes	—
309	#386	C₂³	1	8	yes	—
310	#386	C₂³	1	8	yes	—
311	#386	C₂³	1	8	yes	—
312	#386	C₂³	1	4	yes	—
313	#386	C₂³	1	4	yes	—
314	#386	C₂³	1	8	yes	—
315	#386	C₂³	1	8	yes	complemented
316	#386	C₂³	1	8	yes	complemented
317	#386	C₂³	1	8	yes	complemented
318	#386	C₂³	1	8	yes	complemented
319	#386	C₂³	1	8	yes	complemented
320	#386	C₂³	1	8	yes	complemented
321	#386	C₂³	1	8	yes	complemented
322	#386	C₂³	1	4	yes	complemented
323	#386	C₂³	1	4	yes	complemented
324	#386	C₂³	1	8	yes	complemented
325	#385	C₂³	1	8	yes	—
326	#385	C₂³	1	8	yes	—
327	#385	C₂³	1	4	yes	—
328	#385	C₂³	1	4	yes	—
329	#385	C₂³	1	8	yes	—
330	#385	C₂³	1	8	yes	complemented
331	#385	C₂³	1	8	yes	complemented
332	#385	C₂³	1	8	yes	complemented
333	#385	C₂³	1	8	yes	complemented
334	#385	C₂³	1	8	yes	complemented
335	#385	C₂³	1	8	yes	complemented
336	#385	C₂³	1	4	yes	complemented
337	#385	C₂³	1	4	yes	complemented
338	#383	C₂³	1	8	yes	complemented
339	#382	C₂³	1	8	yes	complemented
340	#381	C₂³	1	2	yes	—
341	#381	C₂³	1	2	yes	—
342	#381	C₂³	1	2	yes	—
343	#381	C₂³	1	2	yes	—
344	#381	C₂³	1	8	yes	—
345	#381	C₂³	1	8	yes	—
346	#381	C₂³	1	8	yes	complemented
347	#381	C₂³	1	8	yes	complemented
348	#381	C₂³	1	4	yes	complemented
349	#381	C₂³	1	4	yes	complemented
350	#381	C₂³	1	8	yes	complemented
351	#381	C₂³	1	4	yes	complemented
352	#381	C₂³	1	4	yes	complemented
353	#380	C₂³	1	4	yes	—
354	#380	C₂³	1	4	yes	—
355	#380	C₂³	1	4	yes	complemented
356	#380	C₂³	1	4	yes	complemented
357	#380	C₂³	1	8	yes	complemented
358	#380	C₂³	1	8	yes	complemented
359	#380	C₂³	1	8	yes	complemented
360	#379	C₂³	1	4	yes	—
361	#379	C₂³	1	8	yes	—
362	#379	C₂³	1	1	yes	characteristic
363	#379	C₂³	1	1	yes	characteristic
364	#379	C₂³	1	1	yes	characteristic
365	#379	C₂³	1	1	yes	characteristic
366	#379	C₂³	1	2	yes	—
367	#379	C₂³	1	4	yes	—
368	#379	C₂³	1	4	yes	—
369	#379	C₂³	1	2	yes	—
370	#379	C₂³	1	2	yes	—
371	#379	C₂³	1	8	yes	—
372	#379	C₂³	1	2	yes	—
373	#379	C₂³	1	4	yes	—
374	#379	C₂³	1	4	yes	—
375	#379	C₂³	1	4	yes	—
376	#379	C₂³	1	4	yes	—
377	#379	C₂³	1	4	yes	complemented
378	#379	C₂³	1	4	yes	complemented
379	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
380	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
381	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
382	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
383	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
384	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
385	C₂×#95	C₂³	1	8	yes	—
386	C₂⁵	—	2	4	no	—
387	C₂⁵	—	2	8	no	—
388	C₂⁵	—	4	4	no	—
389	C₂⁵	—	8	4	no	—
390	C₂⁵	—	8	4	no	—
391	C₂⁵	#41	1	8	yes	complemented
392	C₂⁵	C₂⁴	1	1	yes	characteristic
393	C₂⁵	C₂⁴	1	2	yes	—
394	C₂⁵	C₂⁴	1	1	yes	characteristic
395	C₂⁵	C₂⁴	1	2	yes	—
396	C₂⁵	C₂⁴	1	1	yes	characteristic
397	C₂⁵	C₂⁴	1	2	yes	—
398	C₂⁵	C₂⁴	1	2	yes	—
399	C₂⁵	C₂⁴	1	1	yes	characteristic
400	C₂⁵	C₂⁴	1	2	yes	—
401	C₂⁵	C₂⁴	1	1	yes	characteristic
402	C₂×#41	—	4	8	no	—
403	C₂×#41	—	8	8	no	—
404	C₂²×Q₈	C₂⁴	1	4	yes	—
405	C₂²×D₄	—	2	16	no	—
406	C₂²×D₄	—	2	4	no	—
407	C₂²×D₄	—	2	4	no	—
408	C₂²×D₄	—	2	16	no	—
409	C₂²×D₄	—	2	4	no	—
410	C₂²×D₄	—	2	4	no	—
411	C₂²×D₄	—	2	16	no	—
412	C₂²×D₄	—	2	8	no	—
413	C₂²×D₄	—	2	8	no	—
414	C₂²×D₄	—	2	8	no	—
415	C₂²×D₄	—	4	8	no	—
416	C₂²×D₄	—	4	4	no	—
417	C₂²×D₄	—	4	4	no	—
418	C₂²×D₄	—	4	8	no	—
419	C₂²×D₄	—	4	8	no	—
420	C₂²×D₄	—	4	4	no	—
421	C₂²×D₄	—	4	4	no	—
422	C₂²×D₄	—	4	8	no	—
423	C₂²×D₄	—	4	64	no	—
424	C₂²×D₄	—	8	4	no	—
425	C₂²×D₄	—	8	4	no	—
426	C₂²×D₄	C₂⁴	1	4	yes	—
427	C₂²×D₄	C₂⁴	1	4	yes	—
428	C₂²×D₄	C₂⁴	1	4	yes	—
429	C₂²×D₄	C₂⁴	1	4	yes	—
430	C₂²×D₄	C₂⁴	1	4	yes	—
431	C₂²×D₄	C₂⁴	1	4	yes	—
432	C₂²×D₄	C₂⁴	1	8	yes	—
433	C₂²×D₄	C₂⁴	1	8	yes	—
434	C₂²×D₄	C₂⁴	1	4	yes	—
435	C₂²×D₄	C₂⁴	1	4	yes	—
436	C₂²×D₄	C₂⁴	1	4	yes	—
437	C₂²×D₄	C₂⁴	1	4	yes	—
438	C₂²×D₄	C₂⁴	1	4	yes	—
439	C₂³×C₄	—	2	4	no	—
440	C₂³×C₄	—	2	16	no	—
441	C₂³×C₄	—	4	4	no	—
442	C₂³×C₄	—	8	8	no	—
443	C₂³×C₄	C₂⁴	1	2	yes	—
444	C₂³×C₄	C₂⁴	1	4	yes	—
445	C₂³×C₄	C₂⁴	1	4	yes	—
446	C₂³×C₄	C₂⁴	1	4	yes	—
447	C₂³×C₄	C₂⁴	1	2	yes	—
448	C₂³×C₄	C₂⁴	1	4	yes	—
449	C₂³×C₄	C₂⁴	1	4	yes	—
450	C₂³×C₄	C₂⁴	1	4	yes	—
451	C₂³×C₄	C₂⁴	1	2	yes	—
452	C₂³×C₄	C₂⁴	1	2	yes	—
453	C₂³×C₄	C₂⁴	1	1	yes	characteristic
454	C₂³×C₄	C₂⁴	1	1	yes	characteristic
455	C₂³×C₄	C₂⁴	1	2	yes	—
456	C₂³×C₄	C₂⁴	1	8	yes	—
457	C₂³×C₄	C₂⁴	1	8	yes	—
458	#123	—	4	8	no	—
459	#123	—	4	8	no	—
460	#123	—	4	16	no	—
461	#123	—	4	16	no	—
462	#123	—	8	8	no	—
463	#123	—	8	4	no	—
464	#123	—	8	8	no	—
465	C₂²⋊Q₈	—	4	8	no	—
466	C₂²⋊Q₈	—	4	8	no	—
467	C₂²⋊Q₈	—	8	8	no	—
468	#121	—	4	16	no	—
469	#121	—	4	16	no	—
470	#121	—	4	8	no	—
471	#121	—	4	8	no	—
472	#120	—	2	16	no	—
473	#120	—	2	16	no	—
474	#120	—	2	16	no	—
475	#120	—	2	16	no	—
476	#120	—	2	32	no	—
477	#120	—	4	8	no	—
478	#120	—	4	8	no	—
479	#120	—	8	4	no	—
480	#120	—	8	8	no	—
481	#120	—	8	4	no	—
482	#120	—	8	4	no	—
483	C₄×D₄	—	4	16	no	—
484	C₄×D₄	—	4	16	no	—
485	C₄×D₄	—	8	8	no	—
486	#117	—	4	8	no	—
487	#117	—	8	4	no	—
488	#117	—	8	8	no	—
489	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
490	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
491	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
492	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
493	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
494	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
495	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
496	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
497	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
498	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
499	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
500	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
501	C₂×C₂²⋊C₄	—	2	8	no	—
502	C₂×C₂²⋊C₄	—	2	8	no	—
503	C₂×C₂²⋊C₄	—	2	8	no	—
504	C₂×C₂²⋊C₄	—	4	8	no	—
505	C₂×C₂²⋊C₄	—	4	4	no	—
506	C₂×C₂²⋊C₄	—	4	8	no	—
507	C₂×C₂²⋊C₄	—	4	4	no	—
508	C₂×C₂²⋊C₄	—	4	4	no	—
509	C₂×C₂²⋊C₄	—	4	4	no	—
510	C₂×C₂²⋊C₄	—	4	8	no	—
511	C₂×C₂²⋊C₄	—	4	8	no	—
512	C₂×C₂²⋊C₄	—	4	4	no	—
513	C₂×C₂²⋊C₄	—	4	4	no	—
514	C₂×C₂²⋊C₄	—	8	4	no	—
515	C₂×C₂²⋊C₄	—	8	4	no	—
516	C₂×C₂²⋊C₄	—	8	4	no	—
517	C₂×C₂²⋊C₄	—	8	4	no	—
518	C₂×C₂²⋊C₄	—	8	4	no	—
519	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
520	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
521	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
522	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
523	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
524	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
525	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
526	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
527	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
528	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
529	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
530	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
531	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
532	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
533	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
534	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
535	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
536	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
537	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
538	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
539	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
540	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
541	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
542	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
543	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
544	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
545	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
546	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
547	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
548	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
549	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
550	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
551	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
552	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
553	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
554	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
555	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
556	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
557	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
558	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
559	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
560	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
561	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
562	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
563	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
564	C₂×C₄²	C₂⁴	1	8	yes	—
565	C₂×C₄²	C₂⁴	1	8	yes	—
566	C₂×C₄²	C₂⁴	1	8	yes	—
567	#95	C₂⁴	1	8	yes	—
568	#95	C₂⁴	1	8	yes	—
569	#95	C₂⁴	1	8	yes	—
570	#95	C₂⁴	1	8	yes	—
571	#95	C₂⁴	1	8	yes	—
572	#95	C₂⁴	1	8	yes	—
573	#95	C₂⁴	1	4	yes	—
574	#95	C₂⁴	1	4	yes	—
575	#95	C₂⁴	1	4	yes	—
576	#95	C₂⁴	1	4	yes	—
577	#95	C₂⁴	1	8	yes	—
578	#95	C₂⁴	1	8	yes	—
579	#95	C₂⁴	1	8	yes	—
580	#95	C₂⁴	1	8	yes	—
581	#95	C₂⁴	1	8	yes	—
582	#95	C₂⁴	1	8	yes	—
583	#95	C₂⁴	1	8	yes	—
584	#95	C₂⁴	1	8	yes	—
585	#95	C₂⁴	1	8	yes	—
586	#95	C₂⁴	1	8	yes	—
587	#95	C₂⁴	1	8	yes	—
588	#95	C₂⁴	1	8	yes	—
589	C₂⁴	—	2	32	no	—
590	C₂⁴	—	2	4	no	—
591	C₂⁴	—	2	4	no	—
592	C₂⁴	—	2	4	no	—
593	C₂⁴	—	2	2	no	—
594	C₂⁴	—	2	2	no	—
595	C₂⁴	—	2	4	no	—
596	C₂⁴	—	2	4	no	—
597	C₂⁴	—	2	4	no	—
598	C₂⁴	—	2	4	no	—
599	C₂⁴	—	2	4	no	—
600	C₂⁴	—	2	8	no	—
601	C₂⁴	—	2	4	no	—
602	C₂⁴	—	4	8	no	—
603	C₂⁴	—	4	4	no	—
604	C₂⁴	—	4	4	no	—
605	C₂⁴	—	4	4	no	—
606	C₂⁴	—	4	4	no	—
607	C₂⁴	—	4	4	no	—
608	C₂⁴	—	4	16	no	—
609	C₂⁴	—	4	2	no	—
610	C₂⁴	—	4	4	no	—
611	C₂⁴	—	4	2	no	—
612	C₂⁴	—	4	4	no	—
613	C₂⁴	—	4	4	no	—
614	C₂⁴	—	4	4	no	—
615	C₂⁴	—	4	4	no	—
616	C₂⁴	—	4	8	no	—
617	C₂⁴	—	4	4	no	—
618	C₂⁴	—	4	4	no	—
619	C₂⁴	—	4	4	no	—
620	C₂⁴	—	8	16	no	—
621	C₂⁴	—	8	32	no	—
622	C₂⁴	—	8	16	no	—
623	C₂⁴	—	8	32	no	—
624	C₂⁴	C₂×#41	1	8	yes	—
625	C₂⁴	C₂×#41	1	4	yes	—
626	C₂⁴	C₂×#41	1	4	yes	—
627	C₂⁴	C₂×#41	1	8	yes	—
628	C₂⁴	C₂×#41	1	4	yes	—
629	C₂⁴	H(5,𝔽₂)	1	8	yes	—
630	C₂⁴	C₂⁵	1	4	yes	—
631	C₂⁴	C₂⁵	1	1	yes	characteristic
632	C₂⁴	C₂⁵	1	1	yes	characteristic
633	C₂⁴	C₂⁵	1	2	yes	—
634	C₂⁴	C₂⁵	1	2	yes	—
635	C₂⁴	C₂⁵	1	2	yes	—
636	C₂⁴	C₂⁵	1	2	yes	—
637	C₂⁴	C₂⁵	1	1	yes	characteristic
638	#41	—	8	32	no	—
639	C₂×Q₈	—	4	4	no	—
640	C₂×Q₈	—	4	8	no	—
641	C₂×D₄	—	2	8	no	—
642	C₂×D₄	—	2	8	no	—
643	C₂×D₄	—	2	8	no	—
644	C₂×D₄	—	2	8	no	—
645	C₂×D₄	—	2	8	no	—
646	C₂×D₄	—	2	8	no	—
647	C₂×D₄	—	2	16	no	—
648	C₂×D₄	—	2	8	no	—
649	C₂×D₄	—	2	8	no	—
650	C₂×D₄	—	2	8	no	—
651	C₂×D₄	—	2	8	no	—
652	C₂×D₄	—	2	8	no	—
653	C₂×D₄	—	2	8	no	—
654	C₂×D₄	—	2	8	no	—
655	C₂×D₄	—	2	8	no	—
656	C₂×D₄	—	2	16	no	—
657	C₂×D₄	—	2	16	no	—
658	C₂×D₄	—	4	8	no	—
659	C₂×D₄	—	4	4	no	—
660	C₂×D₄	—	4	4	no	—
661	C₂×D₄	—	4	4	no	—
662	C₂×D₄	—	4	4	no	—
663	C₂×D₄	—	4	8	no	—
664	C₂×D₄	—	4	8	no	—
665	C₂×D₄	—	4	4	no	—
666	C₂×D₄	—	4	8	no	—
667	C₂×D₄	—	4	4	no	—
668	C₂×D₄	—	4	4	no	—
669	C₂×D₄	—	4	8	no	—
670	C₂×D₄	—	4	8	no	—
671	C₂×D₄	—	4	8	no	—
672	C₂×D₄	—	4	8	no	—
673	C₂×D₄	—	4	4	no	—
674	C₂×D₄	—	4	4	no	—
675	C₂×D₄	—	4	64	no	—
676	C₂×D₄	—	4	16	no	—
677	C₂×D₄	—	4	16	no	—
678	C₂×D₄	—	4	64	no	—
679	C₂×D₄	—	4	16	no	—
680	C₂×D₄	—	4	16	no	—
681	C₂×D₄	—	8	16	no	—
682	C₂×D₄	—	8	16	no	—
683	C₂×D₄	—	8	16	no	—
684	C₂²×C₄	—	2	4	no	—
685	C₂²×C₄	—	2	2	no	—
686	C₂²×C₄	—	2	2	no	—
687	C₂²×C₄	—	2	4	no	—
688	C₂²×C₄	—	2	4	no	—
689	C₂²×C₄	—	2	8	no	—
690	C₂²×C₄	—	2	8	no	—
691	C₂²×C₄	—	2	8	no	—
692	C₂²×C₄	—	2	4	no	—
693	C₂²×C₄	—	2	4	no	—
694	C₂²×C₄	—	2	8	no	—
695	C₂²×C₄	—	2	8	no	—
696	C₂²×C₄	—	2	8	no	—
697	C₂²×C₄	—	2	8	no	—
698	C₂²×C₄	—	4	8	no	—
699	C₂²×C₄	—	4	4	no	—
700	C₂²×C₄	—	4	2	no	—
701	C₂²×C₄	—	4	2	no	—
702	C₂²×C₄	—	4	4	no	—
703	C₂²×C₄	—	4	8	no	—
704	C₂²×C₄	—	4	8	no	—
705	C₂²×C₄	—	4	8	no	—
706	C₂²×C₄	—	4	8	no	—
707	C₂²×C₄	—	4	8	no	—
708	C₂²×C₄	—	4	8	no	—
709	C₂²×C₄	—	4	4	no	—
710	C₂²×C₄	—	4	8	no	—
711	C₂²×C₄	—	4	8	no	—
712	C₂²×C₄	—	4	4	no	—
713	C₂²×C₄	—	4	8	no	—
714	C₂²×C₄	—	4	8	no	—
715	C₂²×C₄	—	4	8	no	—
716	C₂²×C₄	—	4	16	no	—
717	C₂²×C₄	—	8	32	no	—
718	C₂²×C₄	C₂⁵	1	2	yes	—
719	C₂²×C₄	C₂⁵	1	2	yes	—
720	C₂²×C₄	C₂⁵	1	4	yes	—
721	C₂²×C₄	C₂⁵	1	4	yes	—
722	C₂²×C₄	C₂⁵	1	4	yes	—
723	C₂²×C₄	C₂⁵	1	4	yes	—
724	C₂²×C₄	C₂⁵	1	8	yes	—
725	C₂²×C₄	C₂⁵	1	4	yes	—
726	C₂²×C₄	C₂⁵	1	4	yes	—
727	C₂²×C₄	C₂⁵	1	4	yes	—
728	C₂²×C₄	C₂⁵	1	8	yes	—
729	C₄⋊C₄	—	4	4	no	—
730	C₄⋊C₄	—	4	4	no	—
731	C₄⋊C₄	—	4	8	no	—
732	C₄⋊C₄	—	4	8	no	—
733	C₄⋊C₄	—	4	8	no	—
734	C₄⋊C₄	—	4	8	no	—
735	C₄⋊C₄	—	4	8	no	—
736	C₄⋊C₄	—	4	8	no	—
737	C₄⋊C₄	—	4	8	no	—
738	C₄⋊C₄	—	4	8	no	—
739	C₄⋊C₄	—	4	8	no	—
740	C₄⋊C₄	—	4	8	no	—
741	C₂²⋊C₄	—	2	8	no	—
742	C₂²⋊C₄	—	2	8	no	—
743	C₂²⋊C₄	—	2	8	no	—
744	C₂²⋊C₄	—	2	8	no	—
745	C₂²⋊C₄	—	2	8	no	—
746	C₂²⋊C₄	—	2	8	no	—
747	C₂²⋊C₄	—	2	16	no	—
748	C₂²⋊C₄	—	2	16	no	—
749	C₂²⋊C₄	—	2	16	no	—
750	C₂²⋊C₄	—	4	2	no	—
751	C₂²⋊C₄	—	4	4	no	—
752	C₂²⋊C₄	—	4	4	no	—
753	C₂²⋊C₄	—	4	4	no	—
754	C₂²⋊C₄	—	4	2	no	—
755	C₂²⋊C₄	—	4	2	no	—
756	C₂²⋊C₄	—	4	4	no	—
757	C₂²⋊C₄	—	4	4	no	—
758	C₂²⋊C₄	—	4	4	no	—
759	C₂²⋊C₄	—	4	2	no	—
760	C₂²⋊C₄	—	4	4	no	—
761	C₂²⋊C₄	—	4	4	no	—
762	C₂²⋊C₄	—	4	4	no	—
763	C₂²⋊C₄	—	4	4	no	—
764	C₂²⋊C₄	—	4	4	no	—
765	C₂²⋊C₄	—	4	4	no	—
766	C₂²⋊C₄	—	4	8	no	—
767	C₂²⋊C₄	—	4	8	no	—
768	C₂²⋊C₄	—	4	4	no	—
769	C₂²⋊C₄	—	4	4	no	—
770	C₂²⋊C₄	—	4	4	no	—
771	C₂²⋊C₄	—	4	8	no	—
772	C₂²⋊C₄	—	4	8	no	—
773	C₂²⋊C₄	—	4	8	no	—
774	C₂²⋊C₄	—	4	4	no	—
775	C₂²⋊C₄	—	4	8	no	—
776	C₂²⋊C₄	—	4	8	no	—
777	C₂²⋊C₄	—	4	8	no	—
778	C₂²⋊C₄	—	4	8	no	—
779	C₂²⋊C₄	—	4	8	no	—
780	C₂²⋊C₄	—	4	8	no	—
781	C₂²⋊C₄	—	4	8	no	—
782	C₂²⋊C₄	—	4	8	no	—
783	C₂²⋊C₄	—	4	8	no	—
784	C₂²⋊C₄	—	4	8	no	—
785	C₂²⋊C₄	—	4	8	no	—
786	C₄²	—	4	8	no	—
787	C₄²	—	4	8	no	—
788	C₄²	—	4	8	no	—
789	C₂³	—	2	4	no	—
790	C₂³	—	2	8	no	—
791	C₂³	—	2	8	no	—
792	C₂³	—	2	16	no	—
793	C₂³	—	2	2	no	—
794	C₂³	—	2	2	no	—
795	C₂³	—	2	2	no	—
796	C₂³	—	2	2	no	—
797	C₂³	—	2	2	no	—
798	C₂³	—	2	2	no	—
799	C₂³	—	2	4	no	—
800	C₂³	—	2	4	no	—
801	C₂³	—	2	4	no	—
802	C₂³	—	2	4	no	—
803	C₂³	—	2	4	no	—
804	C₂³	—	2	8	no	—
805	C₂³	—	2	8	no	—
806	C₂³	—	2	4	no	—
807	C₂³	—	2	4	no	—
808	C₂³	—	2	4	no	—
809	C₂³	—	2	8	no	—
810	C₂³	—	2	16	no	—
811	C₂³	—	2	16	no	—
812	C₂³	—	2	4	no	—
813	C₂³	—	2	8	no	—
814	C₂³	—	2	4	no	—
815	C₂³	—	2	8	no	—
816	C₂³	—	2	4	no	—
817	C₂³	—	4	16	no	—
818	C₂³	—	4	8	no	—
819	C₂³	—	4	4	no	—
820	C₂³	—	4	8	no	—
821	C₂³	—	4	4	no	—
822	C₂³	—	4	8	no	—
823	C₂³	—	4	8	no	—
824	C₂³	—	4	8	no	—
825	C₂³	—	4	8	no	—
826	C₂³	—	4	8	no	—
827	C₂³	—	4	8	no	—
828	C₂³	—	4	16	no	—
829	C₂³	—	4	16	no	—
830	C₂³	—	4	16	no	—
831	C₂³	—	4	8	no	—
832	C₂³	—	8	16	no	—
833	C₂³	—	8	4	no	—
834	C₂³	—	8	4	no	—
835	C₂³	—	8	8	no	—
836	C₂³	—	8	8	no	—
837	C₂³	—	8	8	no	—
838	C₂³	—	8	8	no	—
839	C₂³	—	8	8	no	—
840	C₂³	—	8	4	no	—
841	C₂³	—	8	4	no	—
842	C₂³	—	8	64	no	—
843	C₂³	—	8	8	no	—
844	C₂³	—	8	16	no	—
845	C₂³	—	8	8	no	—
846	C₂³	—	8	64	no	—
847	C₂³	—	16	8	no	—
848	C₂³	C₂²×#41	1	2	yes	—
849	C₂³	C₂²×#41	1	2	yes	—
850	C₂³	C₂²×#41	1	4	yes	—
851	C₂³	C₂²×#41	1	4	yes	—
852	C₂³	C₂²×#41	1	2	yes	—
853	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
854	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
855	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
856	C₂³	C₂⁶	1	1	yes	characteristic
857	Q₈	—	8	8	no	—
858	D₄	—	4	16	no	—
859	D₄	—	4	16	no	—
860	D₄	—	4	16	no	—
861	D₄	—	4	16	no	—
862	D₄	—	4	16	no	—
863	D₄	—	4	16	no	—
864	D₄	—	8	16	no	—
865	D₄	—	8	8	no	—
866	D₄	—	8	8	no	—
867	D₄	—	8	8	no	—
868	D₄	—	8	8	no	—
869	D₄	—	8	16	no	—
870	D₄	—	8	8	no	—
871	C₂×C₄	—	2	4	no	—
872	C₂×C₄	—	2	4	no	—
873	C₂×C₄	—	2	4	no	—
874	C₂×C₄	—	2	2	no	—
875	C₂×C₄	—	2	2	no	—
876	C₂×C₄	—	2	4	no	—
877	C₂×C₄	—	2	8	no	—
878	C₂×C₄	—	2	8	no	—
879	C₂×C₄	—	2	8	no	—
880	C₂×C₄	—	2	4	no	—
881	C₂×C₄	—	2	4	no	—
882	C₂×C₄	—	2	4	no	—
883	C₂×C₄	—	2	4	no	—
884	C₂×C₄	—	2	4	no	—
885	C₂×C₄	—	2	8	no	—
886	C₂×C₄	—	2	4	no	—
887	C₂×C₄	—	2	8	no	—
888	C₂×C₄	—	2	8	no	—
889	C₂×C₄	—	2	8	no	—
890	C₂×C₄	—	2	8	no	—
891	C₂×C₄	—	2	4	no	—
892	C₂×C₄	—	2	8	no	—
893	C₂×C₄	—	2	8	no	—
894	C₂×C₄	—	2	8	no	—
895	C₂×C₄	—	2	8	no	—
896	C₂×C₄	—	4	4	no	—
897	C₂×C₄	—	4	4	no	—
898	C₂×C₄	—	4	8	no	—
899	C₂×C₄	—	4	16	no	—
900	C₂×C₄	—	4	16	no	—
901	C₂×C₄	—	4	8	no	—
902	C₂×C₄	—	4	8	no	—
903	C₂×C₄	—	8	8	no	—
904	C₂×C₄	—	8	8	no	—
905	C₂×C₄	—	8	8	no	—
906	C₂×C₄	—	8	8	no	—
907	C₂×C₄	—	8	4	no	—
908	C₂×C₄	—	8	4	no	—
909	C₂×C₄	—	8	16	no	—
910	C₂×C₄	—	16	8	no	—
911	C₂²	—	2	4	no	—
912	C₂²	—	2	8	no	—
913	C₂²	—	2	2	no	—
914	C₂²	—	2	2	no	—
915	C₂²	—	2	4	no	—
916	C₂²	—	2	4	no	—
917	C₂²	—	2	4	no	—
918	C₂²	—	2	4	no	—
919	C₂²	—	2	4	no	—
920	C₂²	—	2	4	no	—
921	C₂²	—	2	4	no	—
922	C₂²	—	2	4	no	—
923	C₂²	—	2	4	no	—
924	C₂²	—	2	4	no	—
925	C₂²	—	2	8	no	—
926	C₂²	—	2	8	no	—
927	C₂²	—	4	32	no	—
928	C₂²	—	4	16	no	—
929	C₂²	—	4	4	no	—
930	C₂²	—	4	4	no	—
931	C₂²	—	4	8	no	—
932	C₂²	—	4	4	no	—
933	C₂²	—	4	4	no	—
934	C₂²	—	4	4	no	—
935	C₂²	—	4	4	no	—
936	C₂²	—	4	8	no	—
937	C₂²	—	4	4	no	—
938	C₂²	—	4	4	no	—
939	C₂²	—	4	4	no	—
940	C₂²	—	4	8	no	—
941	C₂²	—	4	8	no	—
942	C₂²	—	8	16	no	—
943	C₂²	—	8	8	no	—
944	C₂²	—	8	16	no	—
945	C₂²	—	8	8	no	—
946	C₂²	—	8	8	no	—
947	C₂²	—	8	16	no	—
948	C₂²	—	8	8	no	—
949	C₂²	—	16	8	no	—
950	C₂²	#3490	1	4	yes	—
951	C₂²	C₂³×#41	1	1	yes	characteristic
952	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
953	C₂²	H(7,𝔽₂)	1	4	yes	—
954	C₄	—	4	2	no	—
955	C₄	—	4	2	no	—
956	C₄	—	4	4	no	—
957	C₄	—	4	4	no	—
958	C₄	—	4	4	no	—
959	C₄	—	4	4	no	—
960	C₄	—	4	4	no	—
961	C₄	—	4	4	no	—
962	C₄	—	4	4	no	—
963	C₄	—	4	8	no	—
964	C₄	—	4	8	no	—
965	C₂	—	2	4	no	—
966	C₂	—	4	4	no	—
967	C₂	—	4	4	no	—
968	C₂	—	4	2	no	—
969	C₂	—	4	2	no	—
970	C₂	—	4	4	no	—
971	C₂	—	4	4	no	—
972	C₂	—	8	4	no	—
973	C₂	C₂×#3490	1	1	yes	characteristic
974	C₂	#62844	1	2	yes	—
975	C₂	#62862	1	4	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #47898	C₂	semidirect
2. #47878	C₂	semidirect
3. #47004	C₂	semidirect
4. #46999	C₂	semidirect
5. #46997	C₂	semidirect
6. #46996	C₂	semidirect
7. #46837	C₂	semidirect
8. #46398	C₂	semidirect
9. #46387	C₂	semidirect
10. #46386	C₂	semidirect
11. #37964	C₂	semidirect
12. #37776	C₂	semidirect
13. #37475	C₂	semidirect
14. #37436	C₂	semidirect
15. #36974	C₂	semidirect
16. #35050	C₂	semidirect
17. #34980	C₂	semidirect
18. #34356	C₂	semidirect
19. C₂×#2308	C₂	semidirect
21. C₂×#534	C₂²	semidirect
22. C₂×#525	C₂²	semidirect
24. C₂³×C₂²⋊C₄	C₂²	semidirect
25. #2849	C₂²	semidirect
26. #2849	C₂²	semidirect
27. #2846	C₂²	semidirect
28. #2842	C₂²	semidirect
29. #2842	C₂²	semidirect
30. #2840	C₂²	semidirect
31. #2812	C₂²	semidirect
32. #2771	C₂²	semidirect
33. #2765	C₂²	semidirect
34. #2764	C₂²	semidirect
35. #2761	C₂²	semidirect
36. #2760	C₂²	semidirect
37. #2760	C₂²	semidirect
38. #2752	C₂²	semidirect
39. #2751	C₂²	semidirect
40. #2750	C₂²	semidirect
41. #2750	C₂²	semidirect
42. #2749	C₂²	semidirect
43. #2749	C₂²	semidirect
44. #2746	C₂²	semidirect
45. #2743	C₂²	semidirect
46. #2743	C₂²	semidirect
47. #2743	C₂²	semidirect
48. #2708	C₂²	semidirect
49. #2706	C₂²	semidirect
50. #2703	C₂²	semidirect
51. #2697	C₂²	semidirect
52. #2696	C₂²	semidirect
53. #2693	C₂²	semidirect
54. #2688	C₂²	semidirect
55. #2687	C₂²	semidirect
56. #2681	C₂²	semidirect
57. #2678	C₂²	semidirect
58. #2626	C₂²	semidirect
59. #2626	C₂²	semidirect
60. #2626	C₂²	semidirect
61. #2622	C₂²	semidirect
63. #2617	C₂²	semidirect
65. #2613	C₂²	semidirect
66. #2609	C₂²	semidirect
67. #2598	C₂²	semidirect
68. #2576	C₂²	semidirect
69. #2572	C₂²	semidirect
70. #2561	C₂²	semidirect
71. #2561	C₂²	semidirect
72. #2539	C₂²	semidirect
73. #2539	C₂²	semidirect
74. #2534	C₂²	semidirect
75. #2534	C₂²	semidirect
76. #2493	C₂²	semidirect
77. #2488	C₂²	semidirect
78. #2483	C₂²	semidirect
79. #2482	C₂²	semidirect
80. #2482	C₂²	semidirect
81. #2477	C₂²	semidirect
82. #2476	C₂²	semidirect
83. #2471	C₂²	semidirect
84. #2471	C₂²	semidirect
85. #2470	C₂²	semidirect
86. #2457	C₂²	semidirect
87. #2457	C₂²	semidirect
88. #2456	C₂²	semidirect
89. #2437	C₂²	semidirect
90. #2437	C₂²	semidirect
91. #2425	C₂²	semidirect
92. #2420	C₂²	semidirect
93. #2419	C₂²	semidirect
94. #2418	C₂²	semidirect
95. #2412	C₂²	semidirect
96. #2411	C₂²	semidirect
97. #2411	C₂²	semidirect
99. #2410	C₂²	semidirect
100. #2410	C₂²	semidirect
101. #2410	C₂²	semidirect
102. #2407	C₂²	semidirect
105. #2405	C₂²	semidirect
106. #2405	C₂²	semidirect
107. #2404	C₂²	semidirect
108. #2404	C₂²	semidirect
109. #2404	C₂²	semidirect
112. #2403	C₂²	semidirect
113. #2403	C₂²	semidirect
114. #2375	C₂²	semidirect
115. #2358	C₂²	semidirect
116. #2342	C₂²	semidirect
117. #2342	C₂²	semidirect
118. D₄×C₂²⋊C₄	C₂²	semidirect
119. D₄×C₂²⋊C₄	C₂²	semidirect
120. #2321	C₂²	semidirect
121. #2321	C₂²	semidirect
122. #2321	C₂²	semidirect
123. #2312	C₂²	semidirect
124. #2312	C₂²	semidirect
125. #2309	C₂²	semidirect
130. #2308	C₂²	semidirect
131. #2308	C₂²	semidirect
132. #2308	C₂²	semidirect
133. #2308	C₂²	semidirect
134. #2308	C₂²	semidirect
135. C₂×#386	C₂²	semidirect
136. #2280	C₂²	semidirect
137. C₂×#381	C₂²	semidirect
143. C₂²×#41	C₂³	semidirect
162. C₂×#123	C₂³	semidirect
163. C₂×#123	C₂³	semidirect
164. C₂×#123	C₂³	semidirect
165. C₂×#123	C₂³	semidirect
167. C₂×C₂²⋊Q₈	C₂³	semidirect
168. C₂×C₂²⋊Q₈	C₂³	semidirect
172. C₂×#121	C₂³	semidirect
184. C₂×#120	C₂³	semidirect
186. C₂×C₄×D₄	C₂³	semidirect
187. C₂×C₄×D₄	C₂³	semidirect
188. C₂×#117	C₂³	semidirect
189. C₂×#117	C₂³	semidirect
190. C₂×#117	C₂³	semidirect
209. C₂²×C₂²⋊C₄	C₂³	semidirect
210. #401	C₂³	semidirect
211. #400	C₂³	semidirect
212. #400	C₂³	semidirect
213. #400	C₂³	semidirect
214. #400	C₂³	semidirect
215. #400	C₂³	semidirect
216. #400	C₂³	semidirect
219. #399	C₂³	semidirect
220. #399	C₂³	semidirect
221. #399	C₂³	semidirect
222. #398	C₂³	semidirect
223. #398	C₂³	semidirect
226. #397	C₂³	semidirect
227. #397	C₂³	semidirect
228. #397	C₂³	semidirect
229. #397	C₂³	semidirect
230. #397	C₂³	semidirect
231. #397	C₂³	semidirect
232. #397	C₂³	semidirect
235. #396	C₂³	semidirect
236. #396	C₂³	semidirect
237. #396	C₂³	semidirect
238. #396	C₂³	semidirect
239. #396	C₂³	semidirect
246. #394	C₂³	semidirect
247. #394	C₂³	semidirect
248. #394	C₂³	semidirect
249. #394	C₂³	semidirect
250. #394	C₂³	semidirect
253. #393	C₂³	semidirect
254. #393	C₂³	semidirect
255. #393	C₂³	semidirect
256. #393	C₂³	semidirect
263. #392	C₂³	semidirect
264. #392	C₂³	semidirect
265. #392	C₂³	semidirect
266. #391	C₂³	semidirect
269. #390	C₂³	semidirect
270. #390	C₂³	semidirect
271. #390	C₂³	semidirect
272. #390	C₂³	semidirect
273. #389	C₂³	semidirect
278. #388	C₂³	semidirect
279. #388	C₂³	semidirect
280. #388	C₂³	semidirect
281. #388	C₂³	semidirect
282. #388	C₂³	semidirect
283. #388	C₂³	semidirect
284. #388	C₂³	semidirect
285. #388	C₂³	semidirect
286. #388	C₂³	semidirect
287. #388	C₂³	semidirect
288. #388	C₂³	semidirect
289. #387	C₂³	semidirect
290. #387	C₂³	semidirect
291. #387	C₂³	semidirect
292. #387	C₂³	semidirect
293. #387	C₂³	semidirect
315. #386	C₂³	semidirect
316. #386	C₂³	semidirect
317. #386	C₂³	semidirect
318. #386	C₂³	semidirect
319. #386	C₂³	semidirect
320. #386	C₂³	semidirect
321. #386	C₂³	semidirect
322. #386	C₂³	semidirect
323. #386	C₂³	semidirect
324. #386	C₂³	semidirect
330. #385	C₂³	semidirect
331. #385	C₂³	semidirect
332. #385	C₂³	semidirect
333. #385	C₂³	semidirect
334. #385	C₂³	semidirect
335. #385	C₂³	semidirect
336. #385	C₂³	semidirect
337. #385	C₂³	semidirect
338. #383	C₂³	semidirect
339. #382	C₂³	semidirect
346. #381	C₂³	semidirect
347. #381	C₂³	semidirect
348. #381	C₂³	semidirect
349. #381	C₂³	semidirect
350. #381	C₂³	semidirect
351. #381	C₂³	semidirect
352. #381	C₂³	semidirect
355. #380	C₂³	semidirect
356. #380	C₂³	semidirect
357. #380	C₂³	semidirect
358. #380	C₂³	semidirect
359. #380	C₂³	semidirect
377. #379	C₂³	semidirect
378. #379	C₂³	semidirect
380. C₄×C₂²⋊C₄	C₂³	semidirect
381. C₄×C₂²⋊C₄	C₂³	semidirect
382. C₄×C₂²⋊C₄	C₂³	semidirect
383. C₄×C₂²⋊C₄	C₂³	semidirect
384. C₄×C₂²⋊C₄	C₂³	semidirect
391. C₂⁵	#41	semidirect

Maximal subgroups

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

subgroup	index
#47898	2
#47878	2
#47004	2
#46999	2
#46997	2
#46996	2
#46837	2
#46398	2
#46387	2
#46386	2
#37964	2
#37776	2
#37475	2
#37436	2
#36974	2
#35050	2
#34980	2
#34356	2
C₂×#2308	2