Subgroups — #7633154

Order 512.

8860 conjugacy classes of subgroups.

The subgroup lattice has 1307 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3510	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#518	C₂	1	1	yes	maximal, characteristic, complemented
3	#36441	C₂	1	4	yes	maximal, complemented
4	#36161	C₂	1	4	yes	maximal, complemented
5	#36158	C₂	1	8	yes	maximal, complemented
6	#36033	C₂	1	4	yes	maximal, complemented
7	#35808	C₂	1	4	yes	maximal, complemented
8	#35751	C₂	1	8	yes	maximal, complemented
9	#35626	C₂	1	1	yes	maximal, characteristic, complemented
10	#35617	C₂	1	1	yes	maximal, characteristic, complemented
11	#35611	C₂	1	4	yes	maximal, complemented
12	#35541	C₂	1	1	yes	maximal, characteristic, complemented
13	#35523	C₂	1	4	yes	maximal, complemented
14	#35515	C₂	1	1	yes	maximal, characteristic, complemented
15	#35306	C₂	1	1	yes	maximal, characteristic, complemented
16	#35225	C₂	1	4	yes	maximal, complemented
17	#35222	C₂	1	1	yes	maximal, characteristic
18	#34739	C₂	1	1	yes	maximal, characteristic, complemented
19	#34700	C₂	1	4	yes	maximal, complemented
20	C₂×#2435	C₂	1	1	yes	maximal, characteristic, complemented
21	#34269	C₂	1	1	yes	maximal, characteristic, complemented
22	#34255	C₂	1	1	yes	maximal, characteristic, complemented
23	#34211	C₂	1	1	yes	maximal, characteristic, complemented
24	#34203	C₂	1	1	yes	maximal, characteristic, complemented
25	#34136	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂⁴×D₄	C₂²	1	1	yes	characteristic
27	#3510	—	2	16	no	—
28	C₂×#559	C₂²	1	4	yes	complemented
29	C₂×#556	C₂²	1	4	yes	complemented
30	C₂×#551	C₂²	1	8	yes	complemented
31	C₂×#542	C₂²	1	4	yes	complemented
32	C₂×#536	C₂²	1	1	yes	characteristic, complemented
33	C₂×#535	C₂²	1	1	yes	characteristic
34	C₂×#535	C₂²	1	1	yes	characteristic
35	C₂×#533	C₂²	1	1	yes	characteristic, complemented
36	C₂×#529	C₂²	1	4	yes	complemented
37	C₂²×#124	C₂²	1	1	yes	characteristic
38	C₂²×#124	C₂²	1	1	yes	characteristic
39	C₂×#525	C₂²	1	1	yes	characteristic
40	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
41	C₂×#519	C₂²	1	1	yes	characteristic, complemented
42	C₂×#518	—	2	16	no	—
43	C₂×#518	C₂²	1	4	yes	—
44	C₂×#518	C₂²	1	1	yes	characteristic
45	C₂×#518	C₂²	1	1	yes	characteristic
46	C₂×#518	C₂²	1	1	yes	characteristic
47	C₂×#518	C₂²	1	4	yes	—
48	C₂×#518	C₂²	1	4	yes	—
49	C₂×#518	C₂²	1	1	yes	characteristic
50	C₂×C₄×#41	C₂²	1	1	yes	characteristic, complemented
51	C₂²×C₄×D₄	C₂²	1	4	yes	—
52	C₂²×C₄×D₄	C₂²	1	4	yes	—
53	C₂²×#117	C₂²	1	1	yes	characteristic
54	C₂²×#117	C₂²	1	1	yes	characteristic
55	C₂³×C₂²⋊C₄	C₂²	1	4	yes	—
56	#2857	C₂²	1	2	yes	complemented
57	#2850	C₂²	1	2	yes	complemented
58	#2849	C₂²	1	8	yes	complemented
59	#2848	C₂²	1	8	yes	complemented
60	#2846	C₂²	1	4	yes	—
61	#2638	C₂²	1	8	yes	complemented
62	#2630	C₂²	1	8	yes	complemented
63	#2621	C₂²	1	2	yes	complemented
64	#2620	C₂²	1	2	yes	complemented
65	#2613	C₂²	1	4	yes	—
66	#2602	C₂²	1	8	yes	complemented
67	#2600	C₂²	1	8	yes	complemented
68	#2580	C₂²	1	4	yes	complemented
69	#2561	C₂²	1	8	yes	complemented
70	#2547	C₂²	1	4	yes	complemented
71	#2544	C₂²	1	4	yes	complemented
72	#2538	C₂²	1	4	yes	complemented
73	#2534	C₂²	1	8	yes	complemented
74	#2485	C₂²	1	8	yes	complemented
75	#2483	C₂²	1	8	yes	complemented
76	#2482	C₂²	1	8	yes	complemented
77	#2480	C₂²	1	8	yes	complemented
78	#2480	C₂²	1	8	yes	complemented
79	#2480	C₂²	1	8	yes	complemented
80	#2480	C₂²	1	8	yes	complemented
81	#2472	C₂²	1	8	yes	complemented
82	#2472	C₂²	1	8	yes	complemented
83	#2468	C₂²	1	8	yes	complemented
84	#2468	C₂²	1	8	yes	complemented
85	#2466	C₂²	1	8	yes	complemented
86	#2466	C₂²	1	8	yes	complemented
87	#2461	C₂²	1	8	yes	complemented
88	#2459	C₂²	1	8	yes	complemented
89	#2457	C₂²	1	8	yes	complemented
90	#2455	C₂²	1	8	yes	complemented
91	#2454	C₂²	1	4	yes	complemented
92	#2452	C₂²	1	4	yes	complemented
93	#2447	C₂²	1	4	yes	complemented
94	#2447	C₂²	1	4	yes	complemented
95	#2447	C₂²	1	4	yes	complemented
96	#2447	C₂²	1	4	yes	complemented
97	#2447	C₂²	1	4	yes	complemented
98	#2445	C₂²	1	4	yes	complemented
99	#2442	C₂²	1	2	yes	complemented
100	#2441	C₂²	1	2	yes	complemented
101	#2440	C₂²	1	2	yes	complemented
102	#2439	C₂²	1	2	yes	complemented
103	#2438	C₂²	1	4	yes	complemented
104	#2437	C₂²	1	4	yes	—
105	#2437	C₂²	1	8	yes	complemented
106	#2435	C₂²	1	2	yes	—
107	#2435	C₂²	1	2	yes	—
108	#2435	C₂²	1	4	yes	—
109	#2435	C₂²	1	2	yes	—
110	#2435	C₂²	1	2	yes	—
111	#2435	C₂²	1	4	yes	—
112	#2435	C₂²	1	2	yes	—
113	#2435	C₂²	1	2	yes	—
114	#2433	C₂²	1	2	yes	—
115	#2433	C₂²	1	2	yes	—
116	#2427	C₂²	1	4	yes	complemented
117	#2427	C₂²	1	4	yes	complemented
118	#2422	C₂²	1	4	yes	complemented
119	#2420	C₂²	1	4	yes	complemented
120	#2418	C₂²	1	8	yes	complemented
121	#2418	C₂²	1	8	yes	complemented
122	#2417	C₂²	1	4	yes	complemented
123	#2415	C₂²	1	4	yes	complemented
124	#2415	C₂²	1	8	yes	complemented
125	#2413	C₂²	1	4	yes	complemented
126	#2412	C₂²	1	4	yes	—
127	#2412	C₂²	1	8	yes	complemented
128	#2412	C₂²	1	8	yes	complemented
129	#2411	C₂²	1	8	yes	complemented
130	#2408	C₂²	1	4	yes	—
131	#2408	C₂²	1	4	yes	—
132	#2396	C₂²	1	4	yes	complemented
133	#2395	C₂²	1	8	yes	complemented
134	#2392	C₂²	1	8	yes	complemented
135	C₂×#394	C₂²	1	4	yes	—
136	#2367	C₂²	1	4	yes	complemented
137	#2367	C₂²	1	4	yes	complemented
138	#2367	C₂²	1	4	yes	complemented
139	#2366	C₂²	1	4	yes	complemented
140	#2363	C₂²	1	2	yes	complemented
141	#2362	C₂²	1	2	yes	complemented
142	#2362	C₂²	1	4	yes	complemented
143	#2361	C₂²	1	2	yes	complemented
144	#2360	C₂²	1	2	yes	complemented
145	#2360	C₂²	1	4	yes	complemented
146	#2359	C₂²	1	4	yes	complemented
147	#2358	C₂²	1	4	yes	—
148	#2358	C₂²	1	8	yes	complemented
149	#2357	C₂²	1	4	yes	complemented
150	#2354	C₂²	1	4	yes	complemented
151	#2344	C₂²	1	4	yes	complemented
152	#2342	C₂²	1	4	yes	—
153	#2342	C₂²	1	8	yes	complemented
154	#2342	C₂²	1	8	yes	complemented
155	#2326	C₂²	1	4	yes	complemented
156	#2324	C₂²	1	4	yes	complemented
157	#2323	C₂²	1	4	yes	complemented
158	#2319	C₂²	1	4	yes	complemented
159	#2317	C₂²	1	1	yes	characteristic, complemented
160	#2316	C₂²	1	1	yes	characteristic, complemented
161	#2311	C₂²	1	1	yes	characteristic, complemented
162	#2310	C₂²	1	1	yes	characteristic, complemented
163	#2310	C₂²	1	1	yes	characteristic, complemented
164	#2309	C₂²	1	1	yes	characteristic
165	#2309	C₂²	1	1	yes	characteristic
166	C₄×#124	C₂²	1	4	yes	complemented
167	C₄×C₂²⋊Q₈	C₂²	1	4	yes	complemented
168	C₄×C₂²⋊Q₈	C₂²	1	4	yes	complemented
169	C₄×#121	C₂²	1	4	yes	complemented
170	C₄×#120	C₂²	1	8	yes	complemented
171	#2297	C₂²	1	1	yes	characteristic, complemented
172	#2296	C₂²	1	1	yes	characteristic, complemented
173	#2296	C₂²	1	1	yes	characteristic, complemented
174	#2296	C₂²	1	1	yes	characteristic, complemented
175	#2293	C₂²	1	2	yes	complemented
176	#2293	C₂²	1	4	yes	complemented
177	C₂×#390	C₂²	1	1	yes	characteristic
178	C₂×#390	C₂²	1	1	yes	characteristic
179	#2290	C₂²	1	2	yes	complemented
180	#2290	C₂²	1	2	yes	complemented
181	#2285	C₂²	1	1	yes	characteristic, complemented
182	#2280	C₂²	1	1	yes	characteristic
183	#2280	C₂²	1	8	yes	complemented
184	C₂×#379	C₂²	1	4	yes	—
185	#2274	C₂²	1	1	yes	characteristic, complemented
186	C₄²×D₄	C₂²	1	2	yes	complemented
187	C₄×#117	C₂²	1	1	yes	characteristic, complemented
188	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
189	C₂⁶	C₂³	1	2	yes	—
190	C₂²×#41	C₂³	1	1	yes	characteristic
191	C₂³×Q₈	C₂³	1	1	yes	characteristic
192	C₂³×D₄	—	2	8	no	—
193	C₂³×D₄	—	2	8	no	—
194	C₂³×D₄	—	2	8	no	—
195	C₂³×D₄	C₂³	1	2	yes	—
196	C₂³×D₄	C₂³	1	2	yes	—
197	C₂³×D₄	C₂³	1	2	yes	—
198	C₂³×D₄	C₂³	1	2	yes	—
199	C₂³×D₄	C₂³	1	2	yes	—
200	C₂³×D₄	C₂³	1	1	yes	characteristic
201	C₂³×D₄	C₂³	1	1	yes	characteristic
202	C₂⁴×C₄	C₂³	1	1	yes	characteristic
203	C₂⁴×C₄	C₂³	1	8	yes	—
204	#559	—	2	32	no	—
205	#556	—	2	32	no	—
206	#551	—	2	64	no	—
207	#542	—	2	32	no	—
208	#536	—	2	8	no	—
209	#535	—	2	8	no	—
210	#535	—	2	8	no	—
211	#533	—	2	8	no	—
212	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
213	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
214	C₂×#127	C₂³	1	2	yes	—
215	C₂×#127	C₂³	1	2	yes	—
216	#529	—	2	32	no	—
217	C₂×#126	C₂³	1	8	yes	complemented
218	C₂×#126	C₂³	1	8	yes	complemented
219	C₂×#125	C₂³	1	2	yes	complemented
220	C₂×#124	—	2	8	no	—
221	C₂×#124	—	2	8	no	—
222	C₂×#124	C₂³	1	2	yes	—
223	C₂×#124	C₂³	1	4	yes	—
224	C₂×#124	C₂³	1	2	yes	—
225	C₂×#124	C₂³	1	2	yes	—
226	C₂×#124	C₂³	1	2	yes	—
227	C₂×#124	C₂³	1	2	yes	—
228	C₂×#124	C₂³	1	4	yes	—
229	C₂×#124	C₂³	1	2	yes	—
230	C₂×#124	C₂³	1	2	yes	complemented
231	C₂×#124	C₂³	1	8	yes	complemented
232	#525	—	2	8	no	—
233	C₂×#123	C₂³	1	2	yes	—
234	C₂×#123	C₂³	1	4	yes	—
235	C₂×#123	C₂³	1	8	yes	complemented
236	C₂×#123	C₂³	1	8	yes	complemented
237	C₂×#123	C₂³	1	8	yes	complemented
238	C₂×C₂²⋊Q₈	—	2	8	no	—
239	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
240	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
241	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
243	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
245	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
246	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
247	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
248	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
249	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
250	C₂×#121	C₂³	1	4	yes	—
251	C₂×#121	C₂³	1	1	yes	characteristic
252	C₂×#121	C₂³	1	1	yes	characteristic
253	C₂×#121	C₂³	1	4	yes	—
254	C₂×#120	C₂³	1	2	yes	—
255	C₂×#120	C₂³	1	4	yes	—
256	C₂×#120	C₂³	1	4	yes	—
257	C₂×#120	C₂³	1	8	yes	—
258	C₂×#120	C₂³	1	8	yes	—
259	#519	—	2	8	no	—
260	#518	—	2	8	no	—
261	#518	—	2	32	no	—
262	#518	—	2	32	no	—
263	#518	—	2	8	no	—
264	#518	—	2	8	no	—
265	#518	—	2	32	no	—
266	#518	D₄	1	16	yes	complemented
267	C₄×#41	—	2	8	no	—
268	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
269	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
270	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
271	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
272	C₂×C₄×D₄	—	2	32	no	—
273	C₂×C₄×D₄	—	2	32	no	—
274	C₂×C₄×D₄	C₂³	1	4	yes	—
275	C₂×C₄×D₄	C₂³	1	4	yes	—
276	C₂×C₄×D₄	C₂³	1	8	yes	—
277	C₂×C₄×D₄	C₂³	1	4	yes	—
278	C₂×C₄×D₄	C₂³	1	4	yes	—
279	C₂×C₄×D₄	C₂³	1	8	yes	—
280	C₂×C₄×D₄	C₂³	1	4	yes	—
281	C₂×C₄×D₄	C₂³	1	4	yes	—
282	C₂×C₄×D₄	C₂³	1	4	yes	—
283	C₂×C₄×D₄	C₂³	1	8	yes	—
284	C₂×C₄×D₄	C₂³	1	8	yes	—
285	C₂×C₄×D₄	C₂³	1	2	yes	—
286	C₂×C₄×D₄	C₂³	1	2	yes	—
287	C₂×C₄×D₄	C₂³	1	4	yes	—
288	C₂×C₄×D₄	C₂³	1	4	yes	—
289	C₂×C₄×D₄	C₂³	1	4	yes	—
290	C₂×C₄×D₄	C₂³	1	8	yes	complemented
291	C₂×C₄×D₄	C₂³	1	2	yes	complemented
292	C₂×C₄×D₄	C₂³	1	8	yes	complemented
293	C₂×#117	—	2	8	no	—
294	C₂×#117	—	2	8	no	—
295	C₂×#117	C₂³	1	1	yes	characteristic
296	C₂×#117	C₂³	1	1	yes	characteristic
297	C₂×#117	C₂³	1	1	yes	characteristic
298	C₂×#117	C₂³	1	1	yes	characteristic
299	C₂×#117	C₂³	1	1	yes	characteristic
300	C₂×#117	C₂³	1	2	yes	—
301	C₂×#117	C₂³	1	4	yes	—
302	C₂×#117	C₂³	1	2	yes	—
303	C₂×#117	C₂³	1	2	yes	—
304	C₂×#117	C₂³	1	2	yes	—
305	C₂×#117	C₂³	1	2	yes	—
306	C₂×#117	C₂³	1	2	yes	—
307	C₂×#117	C₂³	1	1	yes	characteristic
308	C₂×#117	C₂³	1	1	yes	characteristic
309	C₂×#117	C₂³	1	2	yes	complemented
310	C₂×#117	C₂³	1	8	yes	complemented
311	C₂×#117	C₂³	1	8	yes	complemented
312	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
313	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
314	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
315	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
316	C₂²×C₂²⋊C₄	—	2	32	no	—
317	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
318	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
319	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
320	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
321	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
322	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
323	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
324	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
325	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
326	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
327	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
328	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
329	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
330	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
331	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
332	C₂²×C₄²	C₂³	1	2	yes	—
333	C₂²×C₄²	C₂³	1	2	yes	—
334	C₂²×C₄²	C₂³	1	1	yes	characteristic
335	C₂²×C₄²	C₂³	1	1	yes	characteristic
336	C₂²×C₄²	C₂³	1	2	yes	complemented
337	#400	C₂³	1	4	yes	complemented
338	#399	C₂³	1	4	yes	—
339	#399	C₂³	1	8	yes	complemented
340	#398	C₂³	1	8	yes	complemented
341	#398	C₂³	1	4	yes	complemented
342	#398	C₂³	1	4	yes	complemented
343	#397	C₂³	1	8	yes	—
344	#397	C₂³	1	8	yes	complemented
345	#397	C₂³	1	8	yes	complemented
346	#397	C₂³	1	8	yes	complemented
347	#397	C₂³	1	8	yes	complemented
348	#397	C₂³	1	8	yes	complemented
349	#397	C₂³	1	8	yes	complemented
350	#397	C₂³	1	8	yes	complemented
351	#397	C₂³	1	8	yes	complemented
352	#396	C₂³	1	4	yes	—
353	#396	C₂³	1	4	yes	—
354	#396	C₂³	1	8	yes	complemented
355	#396	C₂³	1	8	yes	complemented
356	#396	C₂³	1	8	yes	complemented
357	#395	C₂³	1	4	yes	complemented
358	#394	C₂³	1	8	yes	—
359	#394	C₂³	1	8	yes	—
360	#394	C₂³	1	8	yes	—
361	#394	C₂³	1	8	yes	—
362	#394	C₂³	1	8	yes	—
363	#394	C₂³	1	8	yes	—
364	#394	C₂³	1	8	yes	—
365	#394	C₂³	1	8	yes	complemented
366	#394	C₂³	1	8	yes	complemented
367	#394	C₂³	1	8	yes	complemented
368	#394	C₂³	1	8	yes	complemented
369	#393	C₂³	1	4	yes	—
370	#393	C₂³	1	8	yes	complemented
371	#392	C₂³	1	8	yes	—
372	#392	C₂³	1	8	yes	—
373	#391	C₂³	1	4	yes	complemented
374	#391	C₂³	1	4	yes	complemented
375	#391	C₂³	1	2	yes	complemented
376	#391	C₂³	1	2	yes	complemented
377	#391	C₂³	1	4	yes	complemented
378	#391	C₂³	1	2	yes	complemented
379	#391	C₂³	1	2	yes	complemented
380	#391	C₂³	1	4	yes	complemented
381	#390	C₂³	1	4	yes	—
382	#390	C₂³	1	2	yes	—
383	#390	C₂³	1	4	yes	—
384	#390	C₂³	1	2	yes	—
385	#390	C₂³	1	2	yes	—
386	#390	C₂³	1	2	yes	—
387	#390	C₂³	1	2	yes	—
388	#390	C₂³	1	2	yes	—
389	#390	C₂³	1	4	yes	—
390	#390	C₂³	1	4	yes	—
391	#390	C₂³	1	4	yes	—
392	#390	C₂³	1	2	yes	—
393	#390	C₂³	1	2	yes	—
394	#390	C₂³	1	2	yes	complemented
395	#390	C₂³	1	8	yes	complemented
396	#390	C₂³	1	2	yes	complemented
397	#389	C₂³	1	4	yes	complemented
398	#389	C₂³	1	4	yes	complemented
399	#389	C₂³	1	4	yes	complemented
400	#389	C₂³	1	2	yes	complemented
401	#389	C₂³	1	8	yes	complemented
402	#389	C₂³	1	2	yes	complemented
403	#389	C₂³	1	2	yes	complemented
404	#389	C₂³	1	8	yes	complemented
405	#389	C₂³	1	4	yes	complemented
406	#389	C₂³	1	2	yes	complemented
407	#389	C₂³	1	2	yes	complemented
408	#389	C₂³	1	4	yes	complemented
409	#389	C₂³	1	2	yes	complemented
410	#388	C₂³	1	4	yes	—
411	#388	C₂³	1	8	yes	—
412	#388	C₂³	1	8	yes	—
413	#388	C₂³	1	4	yes	—
414	#388	C₂³	1	8	yes	complemented
415	#388	C₂³	1	8	yes	complemented
416	#388	C₂³	1	8	yes	complemented
417	#388	C₂³	1	8	yes	complemented
418	#388	C₂³	1	8	yes	complemented
419	#388	C₂³	1	8	yes	complemented
420	#388	C₂³	1	8	yes	complemented
421	#388	C₂³	1	8	yes	complemented
422	#388	C₂³	1	8	yes	complemented
423	#388	C₂³	1	8	yes	complemented
424	#388	C₂³	1	4	yes	complemented
425	#388	C₂³	1	8	yes	complemented
426	#388	C₂³	1	4	yes	complemented
427	#387	C₂³	1	8	yes	complemented
428	#387	C₂³	1	8	yes	complemented
429	#387	C₂³	1	4	yes	complemented
430	#387	C₂³	1	4	yes	complemented
431	#387	C₂³	1	4	yes	complemented
432	#387	C₂³	1	4	yes	complemented
433	#386	C₂³	1	4	yes	—
434	#386	C₂³	1	4	yes	—
435	#386	C₂³	1	8	yes	—
436	#386	C₂³	1	4	yes	—
437	#386	C₂³	1	4	yes	—
438	#386	C₂³	1	8	yes	complemented
439	#386	C₂³	1	8	yes	complemented
440	#386	C₂³	1	8	yes	complemented
441	#386	C₂³	1	8	yes	complemented
442	#386	C₂³	1	8	yes	complemented
443	#385	C₂³	1	4	yes	—
444	#385	C₂³	1	4	yes	—
445	#385	C₂³	1	8	yes	—
446	#385	C₂³	1	4	yes	—
447	#385	C₂³	1	4	yes	—
448	#385	C₂³	1	4	yes	—
449	#385	C₂³	1	4	yes	—
450	#385	C₂³	1	4	yes	—
451	#385	C₂³	1	8	yes	complemented
452	#385	C₂³	1	8	yes	complemented
453	#385	C₂³	1	8	yes	complemented
454	#385	C₂³	1	8	yes	complemented
455	#385	C₂³	1	8	yes	complemented
456	#385	C₂³	1	8	yes	complemented
457	#385	C₂³	1	8	yes	complemented
458	#385	C₂³	1	4	yes	complemented
459	#385	C₂³	1	8	yes	complemented
460	#384	C₂³	1	2	yes	complemented
461	#384	C₂³	1	2	yes	complemented
462	#382	C₂³	1	2	yes	complemented
463	#382	C₂³	1	2	yes	complemented
464	#381	C₂³	1	4	yes	—
465	#381	C₂³	1	4	yes	—
466	#381	C₂³	1	2	yes	—
467	#381	C₂³	1	8	yes	complemented
468	#381	C₂³	1	8	yes	complemented
469	#381	C₂³	1	8	yes	complemented
470	#381	C₂³	1	8	yes	complemented
471	#380	C₂³	1	4	yes	—
472	#380	C₂³	1	2	yes	—
473	#380	C₂³	1	8	yes	—
474	#380	C₂³	1	4	yes	—
475	#380	C₂³	1	2	yes	—
476	#380	C₂³	1	4	yes	—
477	#380	C₂³	1	4	yes	complemented
478	#380	C₂³	1	8	yes	complemented
479	#380	C₂³	1	8	yes	complemented
480	#380	C₂³	1	8	yes	complemented
481	#380	C₂³	1	8	yes	complemented
482	#379	C₂³	1	8	yes	—
483	#379	C₂³	1	8	yes	—
484	#379	C₂³	1	4	yes	—
485	#379	C₂³	1	4	yes	—
486	#379	C₂³	1	2	yes	—
487	#379	C₂³	1	8	yes	—
488	#379	C₂³	1	8	yes	—
489	#379	C₂³	1	8	yes	—
490	#379	C₂³	1	8	yes	—
491	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
492	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
493	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
494	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
495	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
496	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
497	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
498	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
499	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
500	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
501	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
502	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
503	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
504	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
505	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
506	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
507	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
508	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
509	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
510	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
511	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
512	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
513	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
514	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
515	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
516	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
517	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
518	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
519	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
520	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
521	#376	C₂³	1	2	yes	complemented
522	C₂×#95	C₂³	1	2	yes	—
523	C₄³	C₂³	1	2	yes	complemented
524	C₂⁵	—	2	8	no	—
525	C₂⁵	—	2	8	no	—
526	C₂⁵	—	2	8	no	—
527	C₂⁵	—	4	8	no	—
528	C₂⁵	—	8	4	no	—
529	C₂⁵	C₂⁴	1	4	yes	—
530	C₂⁵	C₂⁴	1	1	yes	characteristic
531	C₂⁵	C₂⁴	1	4	yes	—
532	C₂⁵	C₂⁴	1	2	yes	—
533	C₂⁵	C₂⁴	1	2	yes	—
534	C₂×#41	—	2	4	no	—
535	C₂×#41	—	2	4	no	—
536	C₂×#41	—	2	4	no	—
537	C₂²×Q₈	—	2	4	no	—
538	C₂²×Q₈	—	2	4	no	—
539	C₂²×Q₈	—	2	4	no	—
540	C₂²×Q₈	C₂⁴	1	2	yes	—
541	C₂²×Q₈	C₂⁴	1	2	yes	—
542	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
543	C₂²×Q₈	C₂⁴	1	4	yes	—
544	C₂²×D₄	—	2	128	no	—
545	C₂²×D₄	—	2	8	no	—
546	C₂²×D₄	—	2	8	no	—
547	C₂²×D₄	—	2	8	no	—
548	C₂²×D₄	—	2	8	no	—
549	C₂²×D₄	—	2	8	no	—
550	C₂²×D₄	—	2	8	no	—
551	C₂²×D₄	—	2	8	no	—
552	C₂²×D₄	—	2	8	no	—
553	C₂²×D₄	—	2	8	no	—
554	C₂²×D₄	—	2	8	no	—
555	C₂²×D₄	—	2	4	no	—
556	C₂²×D₄	—	2	8	no	—
557	C₂²×D₄	—	2	8	no	—
558	C₂²×D₄	—	2	8	no	—
559	C₂²×D₄	—	2	8	no	—
560	C₂²×D₄	—	2	8	no	—
561	C₂²×D₄	—	2	4	no	—
562	C₂²×D₄	—	2	4	no	—
563	C₂²×D₄	—	2	4	no	—
564	C₂²×D₄	C₂×D₄	1	8	yes	—
565	C₂²×D₄	#41	1	8	yes	—
566	C₂²×D₄	C₂⁴	1	4	yes	—
567	C₂²×D₄	C₂⁴	1	4	yes	—
568	C₂²×D₄	C₂⁴	1	2	yes	—
569	C₂²×D₄	C₂⁴	1	2	yes	—
570	C₂²×D₄	C₂⁴	1	1	yes	characteristic
571	C₂²×D₄	C₂⁴	1	2	yes	—
572	C₂²×D₄	C₂⁴	1	2	yes	—
573	C₂²×D₄	C₂⁴	1	2	yes	—
574	C₂²×D₄	C₂⁴	1	2	yes	—
575	C₂²×D₄	C₂⁴	1	2	yes	—
576	C₂²×D₄	C₂⁴	1	8	yes	—
577	C₂²×D₄	C₂⁴	1	8	yes	—
578	C₂³×C₄	—	2	4	no	—
579	C₂³×C₄	—	2	4	no	—
580	C₂³×C₄	—	2	32	no	—
581	C₂³×C₄	—	4	16	no	—
582	C₂³×C₄	—	8	8	no	—
583	C₂³×C₄	#41	1	8	yes	—
584	C₂³×C₄	C₂⁴	1	2	yes	—
585	C₂³×C₄	C₂⁴	1	2	yes	—
586	C₂³×C₄	C₂⁴	1	4	yes	—
587	C₂³×C₄	C₂⁴	1	4	yes	—
588	C₂³×C₄	C₂⁴	1	1	yes	characteristic
589	C₂³×C₄	C₂⁴	1	1	yes	characteristic
590	C₂³×C₄	C₂⁴	1	1	yes	characteristic
591	C₂³×C₄	C₂⁴	1	1	yes	characteristic
592	C₂³×C₄	C₂⁴	1	1	yes	characteristic
593	C₂³×C₄	C₂⁴	1	2	yes	—
594	C₂³×C₄	C₂⁴	1	2	yes	—
595	C₂³×C₄	C₂⁴	1	2	yes	—
596	C₂³×C₄	C₂⁴	1	8	yes	—
597	C₂³×C₄	C₂⁴	1	8	yes	—
598	C₂³×C₄	C₂⁴	1	8	yes	—
599	C₂³×C₄	C₂⁴	1	4	yes	—
600	C₂³×C₄	C₂⁴	1	8	yes	—
601	C₂³×C₄	C₂⁴	1	1	yes	characteristic
602	C₄⋊Q₈	—	2	8	no	—
603	C₄⋊Q₈	—	2	8	no	—
604	#127	—	2	8	no	—
605	#127	—	2	8	no	—
606	#126	—	2	32	no	—
607	#126	—	2	32	no	—
608	#125	—	2	8	no	—
609	#124	—	2	8	no	—
610	#124	—	2	8	no	—
611	#124	—	2	16	no	—
612	#124	—	2	8	no	—
613	#124	—	2	8	no	—
614	#124	—	2	8	no	—
615	#124	—	2	16	no	—
616	#124	—	2	8	no	—
617	#124	—	2	32	no	—
618	#124	—	2	8	no	—
619	#123	—	2	32	no	—
620	#123	—	2	8	no	—
621	#123	—	2	16	no	—
622	#123	—	2	32	no	—
623	#123	—	8	8	no	—
624	C₂²⋊Q₈	—	2	32	no	—
625	C₂²⋊Q₈	—	2	8	no	—
626	C₂²⋊Q₈	—	2	8	no	—
627	C₂²⋊Q₈	—	2	8	no	—
628	C₂²⋊Q₈	—	2	8	no	—
629	C₂²⋊Q₈	—	2	4	no	—
630	C₂²⋊Q₈	—	2	4	no	—
631	C₂²⋊Q₈	—	2	16	no	—
632	C₂²⋊Q₈	—	2	16	no	—
633	C₂²⋊Q₈	—	4	8	no	—
634	C₂²⋊Q₈	—	8	8	no	—
635	#121	—	2	16	no	—
636	#121	—	2	16	no	—
637	#121	—	2	4	no	—
638	#121	—	2	4	no	—
639	#120	—	2	16	no	—
640	#120	—	2	8	no	—
641	#120	—	2	16	no	—
642	#120	—	4	16	no	—
643	#120	—	8	8	no	—
644	C₄×Q₈	—	2	8	no	—
645	C₄×Q₈	—	2	16	no	—
646	C₄×Q₈	—	2	16	no	—
647	C₄×Q₈	—	2	16	no	—
648	C₄×D₄	—	2	16	no	—
649	C₄×D₄	—	2	16	no	—
650	C₄×D₄	—	2	32	no	—
651	C₄×D₄	—	2	32	no	—
652	C₄×D₄	—	2	32	no	—
653	C₄×D₄	—	2	8	no	—
654	C₄×D₄	—	2	8	no	—
655	C₄×D₄	—	2	16	no	—
656	C₄×D₄	—	2	16	no	—
657	C₄×D₄	—	2	8	no	—
658	C₄×D₄	—	2	32	no	—
659	C₄×D₄	—	2	32	no	—
660	C₄×D₄	—	2	16	no	—
661	C₄×D₄	—	2	16	no	—
662	C₄×D₄	—	2	16	no	—
663	C₄×D₄	—	4	8	no	—
664	C₄×D₄	—	8	8	no	—
665	C₄×D₄	C₂×D₄	1	32	yes	—
666	C₄×D₄	C₂×D₄	1	32	yes	—
667	#117	—	2	4	no	—
668	#117	—	2	4	no	—
669	#117	—	2	4	no	—
670	#117	—	2	32	no	—
671	#117	—	2	4	no	—
672	#117	—	2	4	no	—
673	#117	—	2	8	no	—
674	#117	—	2	8	no	—
675	#117	—	2	8	no	—
676	#117	—	2	8	no	—
677	#117	—	2	16	no	—
678	#117	—	2	8	no	—
679	#117	—	2	8	no	—
680	#117	—	2	8	no	—
681	#117	—	8	8	no	—
682	#117	C₂×D₄	1	8	yes	—
683	#117	C₂×D₄	1	8	yes	—
684	C₂×C₄⋊C₄	—	2	8	no	—
685	C₂×C₄⋊C₄	—	2	4	no	—
686	C₂×C₄⋊C₄	—	2	8	no	—
687	C₂×C₄⋊C₄	—	2	8	no	—
688	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
689	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
690	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
691	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
692	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
693	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
694	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
695	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
696	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
697	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
698	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
699	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
700	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
701	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
702	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
703	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
704	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
705	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
706	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
707	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
708	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
709	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
710	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
711	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
712	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
713	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
714	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
715	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
716	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
717	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
718	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
719	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
720	C₂×C₂²⋊C₄	—	2	16	no	—
721	C₂×C₂²⋊C₄	—	2	16	no	—
722	C₂×C₂²⋊C₄	—	2	8	no	—
723	C₂×C₂²⋊C₄	—	2	16	no	—
724	C₂×C₂²⋊C₄	—	2	32	no	—
725	C₂×C₂²⋊C₄	—	2	8	no	—
726	C₂×C₂²⋊C₄	—	2	8	no	—
727	C₂×C₂²⋊C₄	—	2	32	no	—
728	C₂×C₂²⋊C₄	—	2	16	no	—
729	C₂×C₂²⋊C₄	—	2	16	no	—
730	C₂×C₂²⋊C₄	—	2	32	no	—
731	C₂×C₂²⋊C₄	—	4	4	no	—
732	C₂×C₂²⋊C₄	—	8	4	no	—
733	C₂×C₂²⋊C₄	—	8	4	no	—
734	C₂×C₂²⋊C₄	C₂×D₄	1	32	yes	—
735	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
736	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
737	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
738	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
739	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
740	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
741	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
742	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
743	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
744	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
745	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
746	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
747	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
748	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
749	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
750	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
751	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
752	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
753	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
754	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
755	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
756	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
757	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
758	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
759	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
760	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
761	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
762	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
763	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
764	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
765	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
766	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
767	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
768	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
769	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
770	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
771	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
772	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
773	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
774	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
775	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
776	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
777	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
778	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
779	C₂×C₄²	—	2	4	no	—
780	C₂×C₄²	—	2	4	no	—
781	C₂×C₄²	—	2	8	no	—
782	C₂×C₄²	—	2	8	no	—
783	C₂×C₄²	—	2	8	no	—
784	C₂×C₄²	C₂⁴	1	2	yes	—
785	C₂×C₄²	C₂⁴	1	4	yes	—
786	C₂×C₄²	C₂⁴	1	2	yes	—
787	C₂×C₄²	C₂⁴	1	4	yes	—
788	C₂×C₄²	C₂⁴	1	8	yes	—
789	C₂×C₄²	C₂⁴	1	2	yes	—
790	C₂×C₄²	C₂⁴	1	2	yes	—
791	C₂×C₄²	C₂⁴	1	2	yes	—
792	C₂×C₄²	C₂⁴	1	4	yes	—
793	C₂×C₄²	C₂⁴	1	1	yes	characteristic
794	C₂×C₄²	C₂⁴	1	2	yes	—
795	C₂×C₄²	C₂⁴	1	1	yes	characteristic
796	C₂×C₄²	C₂⁴	1	1	yes	characteristic
797	C₂×C₄²	C₂⁴	1	1	yes	characteristic
798	C₂×C₄²	C₂⁴	1	2	yes	—
799	C₂×C₄²	C₂⁴	1	4	yes	—
800	C₂×C₄²	C₂⁴	1	8	yes	—
801	C₂×C₄²	C₂⁴	1	4	yes	—
802	C₂×C₄²	C₂⁴	1	2	yes	—
803	C₂×C₄²	C₂⁴	1	2	yes	—
804	#95	C₂⁴	1	2	yes	—
805	#95	C₂⁴	1	2	yes	—
806	#95	C₂⁴	1	2	yes	—
807	#95	C₂⁴	1	2	yes	—
808	#95	C₂⁴	1	4	yes	—
809	#95	C₂⁴	1	4	yes	—
810	#95	C₂⁴	1	4	yes	—
811	#95	C₂⁴	1	4	yes	—
812	#95	C₂⁴	1	4	yes	—
813	#95	C₂⁴	1	8	yes	—
814	#95	C₂⁴	1	8	yes	—
815	#95	C₂⁴	1	4	yes	—
816	#95	C₂⁴	1	8	yes	—
817	#95	C₂⁴	1	4	yes	—
818	#95	C₂⁴	1	4	yes	—
819	#95	C₂⁴	1	4	yes	—
820	#95	C₂⁴	1	4	yes	—
821	#95	C₂⁴	1	8	yes	—
822	#95	C₂⁴	1	8	yes	—
823	#95	C₂⁴	1	4	yes	—
824	#95	C₂⁴	1	8	yes	—
825	#95	C₂⁴	1	8	yes	—
826	#95	C₂⁴	1	8	yes	—
827	#95	C₂⁴	1	4	yes	—
828	#95	C₂⁴	1	4	yes	—
829	#95	C₂⁴	1	4	yes	—
830	C₂⁴	—	2	64	no	—
831	C₂⁴	—	2	2	no	—
832	C₂⁴	—	2	8	no	—
833	C₂⁴	—	2	2	no	—
834	C₂⁴	—	2	8	no	—
835	C₂⁴	—	2	8	no	—
836	C₂⁴	—	2	4	no	—
837	C₂⁴	—	2	8	no	—
838	C₂⁴	—	2	4	no	—
839	C₂⁴	—	2	8	no	—
840	C₂⁴	—	2	8	no	—
841	C₂⁴	—	2	4	no	—
842	C₂⁴	—	2	4	no	—
843	C₂⁴	—	2	4	no	—
844	C₂⁴	—	2	16	no	—
845	C₂⁴	—	4	8	no	—
846	C₂⁴	—	4	2	no	—
847	C₂⁴	—	4	4	no	—
848	C₂⁴	—	4	4	no	—
849	C₂⁴	—	4	4	no	—
850	C₂⁴	—	4	4	no	—
851	C₂⁴	—	4	8	no	—
852	C₂⁴	—	4	8	no	—
853	C₂⁴	—	8	16	no	—
854	C₂⁴	—	8	32	no	—
855	C₂⁴	—	8	32	no	—
856	C₂⁴	—	8	16	no	—
857	C₂⁴	C₂²×D₄	1	8	yes	—
858	C₂⁴	C₂×#41	1	4	yes	—
859	C₂⁴	C₂×#41	1	8	yes	—
860	C₂⁴	C₂⁵	1	2	yes	—
861	C₂⁴	C₂⁵	1	4	yes	—
862	C₂⁴	C₂⁵	1	1	yes	characteristic
863	C₂⁴	C₂⁵	1	4	yes	—
864	C₂⁴	C₂⁵	1	1	yes	characteristic
865	C₂⁴	C₂⁵	1	1	yes	characteristic
866	#41	—	4	16	no	—
867	C₂×Q₈	—	2	4	no	—
868	C₂×Q₈	—	2	4	no	—
869	C₂×Q₈	—	2	2	no	—
870	C₂×Q₈	—	2	8	no	—
871	C₂×Q₈	—	2	4	no	—
872	C₂×Q₈	—	2	4	no	—
873	C₂×Q₈	—	2	2	no	—
874	C₂×Q₈	—	2	4	no	—
875	C₂×Q₈	—	2	4	no	—
876	C₂×Q₈	—	2	2	no	—
877	C₂×Q₈	—	4	4	no	—
878	C₂×Q₈	—	4	4	no	—
879	C₂×Q₈	—	4	16	no	—
880	C₂×D₄	—	2	64	no	—
881	C₂×D₄	—	2	64	no	—
882	C₂×D₄	—	2	64	no	—
883	C₂×D₄	—	2	64	no	—
884	C₂×D₄	—	2	64	no	—
885	C₂×D₄	—	2	8	no	—
886	C₂×D₄	—	2	8	no	—
887	C₂×D₄	—	2	8	no	—
888	C₂×D₄	—	2	8	no	—
889	C₂×D₄	—	2	4	no	—
890	C₂×D₄	—	2	4	no	—
891	C₂×D₄	—	2	4	no	—
892	C₂×D₄	—	2	4	no	—
893	C₂×D₄	—	2	8	no	—
894	C₂×D₄	—	2	16	no	—
895	C₂×D₄	—	2	4	no	—
896	C₂×D₄	—	2	16	no	—
897	C₂×D₄	—	2	32	no	—
898	C₂×D₄	—	2	32	no	—
899	C₂×D₄	—	2	4	no	—
900	C₂×D₄	—	2	4	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	8	no	—
903	C₂×D₄	—	2	8	no	—
904	C₂×D₄	—	2	4	no	—
905	C₂×D₄	—	2	4	no	—
906	C₂×D₄	—	2	4	no	—
907	C₂×D₄	—	2	4	no	—
908	C₂×D₄	—	2	4	no	—
909	C₂×D₄	—	2	4	no	—
910	C₂×D₄	—	2	2	no	—
911	C₂×D₄	—	2	2	no	—
912	C₂×D₄	—	4	8	no	—
913	C₂×D₄	—	4	8	no	—
914	C₂×D₄	—	4	8	no	—
915	C₂×D₄	—	4	4	no	—
916	C₂×D₄	—	4	8	no	—
917	C₂×D₄	C₂²×D₄	1	8	yes	—
918	C₂×D₄	C₂²×D₄	1	8	yes	—
919	C₂×D₄	C₂×#41	1	8	yes	—
920	C₂×D₄	C₂×#41	1	8	yes	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	2	no	—
923	C₂²×C₄	—	2	32	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	2	2	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	4	no	—
933	C₂²×C₄	—	2	4	no	—
934	C₂²×C₄	—	2	4	no	—
935	C₂²×C₄	—	2	8	no	—
936	C₂²×C₄	—	2	8	no	—
937	C₂²×C₄	—	2	4	no	—
938	C₂²×C₄	—	2	16	no	—
939	C₂²×C₄	—	2	4	no	—
940	C₂²×C₄	—	2	4	no	—
941	C₂²×C₄	—	2	8	no	—
942	C₂²×C₄	—	2	8	no	—
943	C₂²×C₄	—	2	4	no	—
944	C₂²×C₄	—	2	4	no	—
945	C₂²×C₄	—	2	4	no	—
946	C₂²×C₄	—	2	8	no	—
947	C₂²×C₄	—	2	16	no	—
948	C₂²×C₄	—	2	16	no	—
949	C₂²×C₄	—	4	8	no	—
950	C₂²×C₄	—	4	8	no	—
951	C₂²×C₄	—	4	4	no	—
952	C₂²×C₄	—	4	4	no	—
953	C₂²×C₄	—	4	2	no	—
954	C₂²×C₄	—	4	2	no	—
955	C₂²×C₄	—	4	2	no	—
956	C₂²×C₄	—	4	4	no	—
957	C₂²×C₄	—	4	2	no	—
958	C₂²×C₄	—	4	4	no	—
959	C₂²×C₄	—	4	4	no	—
960	C₂²×C₄	—	4	8	no	—
961	C₂²×C₄	—	4	8	no	—
962	C₂²×C₄	—	4	8	no	—
963	C₂²×C₄	—	4	8	no	—
964	C₂²×C₄	—	4	8	no	—
965	C₂²×C₄	—	4	8	no	—
966	C₂²×C₄	—	8	64	no	—
967	C₂²×C₄	C₂²×D₄	1	32	yes	—
968	C₂²×C₄	C₂²×D₄	1	4	yes	—
969	C₂²×C₄	C₂×#41	1	4	yes	—
970	C₂²×C₄	C₂×#41	1	4	yes	—
971	C₂²×C₄	C₂×#41	1	4	yes	—
972	C₂²×C₄	C₂×#41	1	4	yes	—
973	C₂²×C₄	C₂×#41	1	4	yes	—
974	C₂²×C₄	C₂×#41	1	4	yes	—
975	C₂²×C₄	C₂×#41	1	4	yes	—
976	C₂²×C₄	C₂⁵	1	2	yes	—
977	C₂²×C₄	C₂⁵	1	4	yes	—
978	C₂²×C₄	C₂⁵	1	2	yes	—
979	C₂²×C₄	C₂⁵	1	2	yes	—
980	C₂²×C₄	C₂⁵	1	4	yes	—
981	C₂²×C₄	C₂⁵	1	4	yes	—
982	C₂²×C₄	C₂⁵	1	2	yes	—
983	C₂²×C₄	C₂⁵	1	4	yes	—
984	C₂²×C₄	C₂⁵	1	4	yes	—
985	C₂²×C₄	C₂⁵	1	2	yes	—
986	C₂²×C₄	C₂⁵	1	2	yes	—
987	C₂²×C₄	C₂⁵	1	4	yes	—
988	C₂²×C₄	C₂⁵	1	2	yes	—
989	C₂²×C₄	C₂⁵	1	4	yes	—
990	C₂²×C₄	C₂⁵	1	4	yes	—
991	C₂²×C₄	C₂⁵	1	1	yes	characteristic
992	C₂²×C₄	C₂⁵	1	1	yes	characteristic
993	C₂²×C₄	C₂⁵	1	1	yes	characteristic
994	C₂²×C₄	C₂⁵	1	1	yes	characteristic
995	C₄⋊C₄	—	2	8	no	—
996	C₄⋊C₄	—	2	8	no	—
997	C₄⋊C₄	—	2	4	no	—
998	C₄⋊C₄	—	2	4	no	—
999	C₄⋊C₄	—	2	8	no	—
1000	C₄⋊C₄	—	2	8	no	—
1001	C₄⋊C₄	—	2	4	no	—
1002	C₄⋊C₄	—	2	16	no	—
1003	C₄⋊C₄	—	2	16	no	—
1004	C₄⋊C₄	—	2	8	no	—
1005	C₄⋊C₄	—	2	8	no	—
1006	C₄⋊C₄	—	2	4	no	—
1007	C₄⋊C₄	—	2	4	no	—
1008	C₄⋊C₄	—	2	8	no	—
1009	C₄⋊C₄	—	2	8	no	—
1010	C₄⋊C₄	—	2	4	no	—
1011	C₄⋊C₄	—	2	2	no	—
1012	C₄⋊C₄	—	2	2	no	—
1013	C₄⋊C₄	—	2	4	no	—
1014	C₄⋊C₄	—	2	4	no	—
1015	C₄⋊C₄	—	4	4	no	—
1016	C₄⋊C₄	—	4	8	no	—
1017	C₄⋊C₄	—	4	4	no	—
1018	C₄⋊C₄	—	4	4	no	—
1019	C₄⋊C₄	—	4	4	no	—
1020	C₄⋊C₄	—	4	4	no	—
1021	C₄⋊C₄	—	4	4	no	—
1022	C₄⋊C₄	—	4	4	no	—
1023	C₄⋊C₄	—	4	8	no	—
1024	C₄⋊C₄	—	4	4	no	—
1025	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1026	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1027	C₂²⋊C₄	—	2	4	no	—
1028	C₂²⋊C₄	—	2	4	no	—
1029	C₂²⋊C₄	—	2	16	no	—
1030	C₂²⋊C₄	—	2	16	no	—
1031	C₂²⋊C₄	—	2	16	no	—
1032	C₂²⋊C₄	—	2	4	no	—
1033	C₂²⋊C₄	—	2	16	no	—
1034	C₂²⋊C₄	—	2	8	no	—
1035	C₂²⋊C₄	—	2	8	no	—
1036	C₂²⋊C₄	—	2	16	no	—
1037	C₂²⋊C₄	—	2	16	no	—
1038	C₂²⋊C₄	—	2	4	no	—
1039	C₂²⋊C₄	—	2	4	no	—
1040	C₂²⋊C₄	—	2	4	no	—
1041	C₂²⋊C₄	—	2	4	no	—
1042	C₂²⋊C₄	—	2	16	no	—
1043	C₂²⋊C₄	—	2	4	no	—
1044	C₂²⋊C₄	—	2	4	no	—
1045	C₂²⋊C₄	—	2	8	no	—
1046	C₂²⋊C₄	—	2	8	no	—
1047	C₂²⋊C₄	—	2	8	no	—
1048	C₂²⋊C₄	—	2	16	no	—
1049	C₂²⋊C₄	—	2	16	no	—
1050	C₂²⋊C₄	—	2	8	no	—
1051	C₂²⋊C₄	—	2	16	no	—
1052	C₂²⋊C₄	—	2	4	no	—
1053	C₂²⋊C₄	—	2	4	no	—
1054	C₂²⋊C₄	—	4	2	no	—
1055	C₂²⋊C₄	—	4	2	no	—
1056	C₂²⋊C₄	—	4	8	no	—
1057	C₂²⋊C₄	—	4	8	no	—
1058	C₂²⋊C₄	—	4	8	no	—
1059	C₂²⋊C₄	—	4	8	no	—
1060	C₂²⋊C₄	—	4	8	no	—
1061	C₂²⋊C₄	—	4	4	no	—
1062	C₂²⋊C₄	—	4	8	no	—
1063	C₂²⋊C₄	—	4	8	no	—
1064	C₂²⋊C₄	—	4	8	no	—
1065	C₂²⋊C₄	—	4	4	no	—
1066	C₂²⋊C₄	—	4	8	no	—
1067	C₂²⋊C₄	—	4	4	no	—
1068	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1069	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1070	C₂²⋊C₄	C₂²×D₄	1	32	yes	—
1071	C₄²	—	2	2	no	—
1072	C₄²	—	2	8	no	—
1073	C₄²	—	2	8	no	—
1074	C₄²	—	2	4	no	—
1075	C₄²	—	2	4	no	—
1076	C₄²	—	2	8	no	—
1077	C₄²	—	2	2	no	—
1078	C₄²	—	2	4	no	—
1079	C₄²	—	2	16	no	—
1080	C₄²	—	2	4	no	—
1081	C₄²	—	2	4	no	—
1082	C₄²	—	2	2	no	—
1083	C₄²	—	2	2	no	—
1084	C₄²	—	2	4	no	—
1085	C₄²	—	2	4	no	—
1086	C₄²	—	4	4	no	—
1087	C₄²	—	4	8	no	—
1088	C₄²	—	4	4	no	—
1089	C₄²	C₂²×D₄	1	8	yes	—
1090	C₄²	C₂²×D₄	1	8	yes	—
1091	C₂³	—	2	1	no	—
1092	C₂³	—	2	1	no	—
1093	C₂³	—	2	2	no	—
1094	C₂³	—	2	2	no	—
1095	C₂³	—	2	2	no	—
1096	C₂³	—	2	32	no	—
1097	C₂³	—	2	32	no	—
1098	C₂³	—	2	1	no	—
1099	C₂³	—	2	4	no	—
1100	C₂³	—	2	1	no	—
1101	C₂³	—	2	4	no	—
1102	C₂³	—	2	4	no	—
1103	C₂³	—	2	4	no	—
1104	C₂³	—	2	2	no	—
1105	C₂³	—	2	8	no	—
1106	C₂³	—	2	8	no	—
1107	C₂³	—	2	8	no	—
1108	C₂³	—	2	8	no	—
1109	C₂³	—	2	2	no	—
1110	C₂³	—	2	8	no	—
1111	C₂³	—	2	8	no	—
1112	C₂³	—	2	16	no	—
1113	C₂³	—	2	16	no	—
1114	C₂³	—	2	2	no	—
1115	C₂³	—	2	2	no	—
1116	C₂³	—	2	2	no	—
1117	C₂³	—	2	4	no	—
1118	C₂³	—	2	4	no	—
1119	C₂³	—	4	4	no	—
1120	C₂³	—	4	16	no	—
1121	C₂³	—	4	16	no	—
1122	C₂³	—	4	32	no	—
1123	C₂³	—	4	32	no	—
1124	C₂³	—	4	8	no	—
1125	C₂³	—	4	8	no	—
1126	C₂³	—	4	16	no	—
1127	C₂³	—	4	16	no	—
1128	C₂³	—	8	8	no	—
1129	C₂³	—	8	8	no	—
1130	C₂³	—	8	4	no	—
1131	C₂³	—	8	4	no	—
1132	C₂³	—	8	4	no	—
1133	C₂³	—	8	4	no	—
1134	C₂³	—	8	16	no	—
1135	C₂³	—	8	16	no	—
1136	C₂³	—	8	8	no	—
1137	C₂³	—	8	8	no	—
1138	C₂³	—	8	128	no	—
1139	C₂³	C₂³×D₄	1	8	yes	—
1140	C₂³	C₂³×D₄	1	2	yes	—
1141	C₂³	C₂²×#41	1	2	yes	—
1142	C₂³	C₂²×#41	1	8	yes	—
1143	C₂³	C₂²×#41	1	2	yes	—
1144	C₂³	C₂²×#41	1	2	yes	—
1145	C₂³	C₂²×#41	1	2	yes	—
1146	C₂³	#585	1	4	yes	—
1147	C₂³	C₂⁶	1	1	yes	characteristic
1148	Q₈	—	4	8	no	—
1149	Q₈	—	4	8	no	—
1150	Q₈	—	4	4	no	—
1151	Q₈	—	8	8	no	—
1152	D₄	—	2	32	no	—
1153	D₄	—	2	32	no	—
1154	D₄	—	2	16	no	—
1155	D₄	—	2	16	no	—
1156	D₄	—	2	16	no	—
1157	D₄	—	2	16	no	—
1158	D₄	—	4	8	no	—
1159	D₄	—	4	8	no	—
1160	D₄	—	4	4	no	—
1161	D₄	—	8	16	no	—
1162	D₄	—	8	16	no	—
1163	D₄	—	8	4	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	4	no	—
1169	C₂×C₄	—	2	4	no	—
1170	C₂×C₄	—	2	4	no	—
1171	C₂×C₄	—	2	4	no	—
1172	C₂×C₄	—	2	8	no	—
1173	C₂×C₄	—	2	8	no	—
1174	C₂×C₄	—	2	8	no	—
1175	C₂×C₄	—	2	8	no	—
1176	C₂×C₄	—	2	8	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	2	4	no	—
1179	C₂×C₄	—	2	2	no	—
1180	C₂×C₄	—	2	4	no	—
1181	C₂×C₄	—	2	4	no	—
1182	C₂×C₄	—	2	4	no	—
1183	C₂×C₄	—	2	2	no	—
1184	C₂×C₄	—	2	2	no	—
1185	C₂×C₄	—	2	2	no	—
1186	C₂×C₄	—	2	2	no	—
1187	C₂×C₄	—	2	2	no	—
1188	C₂×C₄	—	2	4	no	—
1189	C₂×C₄	—	2	2	no	—
1190	C₂×C₄	—	2	4	no	—
1191	C₂×C₄	—	2	4	no	—
1192	C₂×C₄	—	2	2	no	—
1193	C₂×C₄	—	2	4	no	—
1194	C₂×C₄	—	2	2	no	—
1195	C₂×C₄	—	2	4	no	—
1196	C₂×C₄	—	2	4	no	—
1197	C₂×C₄	—	2	4	no	—
1198	C₂×C₄	—	2	2	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	2	no	—
1201	C₂×C₄	—	2	4	no	—
1202	C₂×C₄	—	2	4	no	—
1203	C₂×C₄	—	2	2	no	—
1204	C₂×C₄	—	2	4	no	—
1205	C₂×C₄	—	2	8	no	—
1206	C₂×C₄	—	2	4	no	—
1207	C₂×C₄	—	2	2	no	—
1208	C₂×C₄	—	2	2	no	—
1209	C₂×C₄	—	2	2	no	—
1210	C₂×C₄	—	2	4	no	—
1211	C₂×C₄	—	2	4	no	—
1212	C₂×C₄	—	2	4	no	—
1213	C₂×C₄	—	4	32	no	—
1214	C₂×C₄	—	4	16	no	—
1215	C₂×C₄	—	4	16	no	—
1216	C₂×C₄	—	4	8	no	—
1217	C₂×C₄	—	4	8	no	—
1218	C₂×C₄	—	8	8	no	—
1219	C₂×C₄	—	8	16	no	—
1220	C₂×C₄	—	8	16	no	—
1221	C₂×C₄	—	8	4	no	—
1222	C₂×C₄	—	8	4	no	—
1223	C₂×C₄	—	8	4	no	—
1224	C₂×C₄	—	8	16	no	—
1225	C₂×C₄	#525	1	16	yes	—
1226	C₂×C₄	C₂³×D₄	1	8	yes	—
1227	C₂×C₄	C₂³×D₄	1	8	yes	—
1228	C₂×C₄	C₂³×D₄	1	2	yes	—
1229	C₂×C₄	C₂³×D₄	1	2	yes	—
1230	C₂×C₄	C₂²×#41	1	2	yes	—
1231	C₂×C₄	C₂²×#41	1	2	yes	—
1232	C₂×C₄	C₂²×#41	1	2	yes	—
1233	C₂×C₄	C₂²×#41	1	2	yes	—
1234	C₂×C₄	C₂²×#41	1	2	yes	—
1235	C₂×C₄	C₂²×#41	1	2	yes	—
1236	C₂²	—	2	4	no	—
1237	C₂²	—	2	4	no	—
1238	C₂²	—	2	4	no	—
1239	C₂²	—	2	4	no	—
1240	C₂²	—	2	2	no	—
1241	C₂²	—	2	2	no	—
1242	C₂²	—	2	2	no	—
1243	C₂²	—	2	2	no	—
1244	C₂²	—	2	16	no	—
1245	C₂²	—	2	16	no	—
1246	C₂²	—	2	2	no	—
1247	C₂²	—	2	2	no	—
1248	C₂²	—	2	2	no	—
1249	C₂²	—	2	8	no	—
1250	C₂²	—	2	8	no	—
1251	C₂²	—	4	16	no	—
1252	C₂²	—	4	64	no	—
1253	C₂²	—	4	8	no	—
1254	C₂²	—	4	2	no	—
1255	C₂²	—	4	8	no	—
1256	C₂²	—	4	2	no	—
1257	C₂²	—	4	4	no	—
1258	C₂²	—	4	4	no	—
1259	C₂²	—	4	4	no	—
1260	C₂²	—	4	4	no	—
1261	C₂²	—	4	4	no	—
1262	C₂²	—	4	4	no	—
1263	C₂²	—	4	2	no	—
1264	C₂²	—	4	2	no	—
1265	C₂²	—	4	2	no	—
1266	C₂²	—	8	16	no	—
1267	C₂²	—	8	16	no	—
1268	C₂²	—	8	32	no	—
1269	C₂²	C₂×#525	1	4	yes	—
1270	C₂²	#3510	1	4	yes	complemented
1271	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1272	C₂²	C₂³×#41	1	1	yes	characteristic
1273	C₂²	C₂³×#41	1	1	yes	characteristic
1274	C₂²	C₂×#585	1	2	yes	—
1275	C₂²	H(7,𝔽₂)	1	2	yes	—
1276	C₄	—	2	8	no	—
1277	C₄	—	2	8	no	—
1278	C₄	—	2	2	no	—
1279	C₄	—	2	2	no	—
1280	C₄	—	4	4	no	—
1281	C₄	—	4	4	no	—
1282	C₄	—	4	2	no	—
1283	C₄	—	4	2	no	—
1284	C₄	—	4	4	no	—
1285	C₄	—	4	2	no	—
1286	C₄	—	4	2	no	—
1287	C₄	—	4	4	no	—
1288	C₄	—	4	2	no	—
1289	C₄	—	4	4	no	—
1290	C₄	—	4	2	no	—
1291	C₄	—	4	2	no	—
1292	C₄	—	4	4	no	—
1293	C₄	C₂×#525	1	4	yes	—
1294	C₄	C₂×#525	1	4	yes	—
1295	C₂	—	2	4	no	—
1296	C₂	—	2	4	no	—
1297	C₂	—	4	8	no	—
1298	C₂	—	4	8	no	—
1299	C₂	—	4	2	no	—
1300	C₂	—	8	2	no	—
1301	C₂	C₂²×#525	1	1	yes	characteristic
1302	C₂	C₂×#3510	1	1	yes	characteristic
1303	C₂	#62855	1	1	yes	characteristic
1304	C₂	#62987	1	2	yes	—
1305	C₂	#62990	1	2	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	#35222	C₂
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. C₂×#3510	C₂	semidirect
2. C₂²×#518	C₂	semidirect
3. #36441	C₂	semidirect
4. #36161	C₂	semidirect
5. #36158	C₂	semidirect
6. #36033	C₂	semidirect
7. #35808	C₂	semidirect
8. #35751	C₂	semidirect
9. #35626	C₂	semidirect
10. #35617	C₂	semidirect
11. #35611	C₂	semidirect
12. #35541	C₂	semidirect
13. #35523	C₂	semidirect
14. #35515	C₂	semidirect
15. #35306	C₂	semidirect
16. #35225	C₂	semidirect
18. #34739	C₂	semidirect
19. #34700	C₂	semidirect
20. C₂×#2435	C₂	semidirect
21. #34269	C₂	semidirect
22. #34255	C₂	semidirect
23. #34211	C₂	semidirect
24. #34203	C₂	semidirect
25. #34136	C₂	semidirect
28. C₂×#559	C₂²	semidirect
29. C₂×#556	C₂²	semidirect
30. C₂×#551	C₂²	semidirect
31. C₂×#542	C₂²	semidirect
32. C₂×#536	C₂²	semidirect
35. C₂×#533	C₂²	semidirect
36. C₂×#529	C₂²	semidirect
41. C₂×#519	C₂²	semidirect
50. C₂×C₄×#41	C₂²	semidirect
56. #2857	C₂²	semidirect
57. #2850	C₂²	semidirect
58. #2849	C₂²	semidirect
59. #2848	C₂²	semidirect
61. #2638	C₂²	semidirect
62. #2630	C₂²	semidirect
63. #2621	C₂²	semidirect
64. #2620	C₂²	semidirect
66. #2602	C₂²	semidirect
67. #2600	C₂²	semidirect
68. #2580	C₂²	semidirect
69. #2561	C₂²	semidirect
70. #2547	C₂²	semidirect
71. #2544	C₂²	semidirect
72. #2538	C₂²	semidirect
73. #2534	C₂²	semidirect
74. #2485	C₂²	semidirect
75. #2483	C₂²	semidirect
76. #2482	C₂²	semidirect
77. #2480	C₂²	semidirect
78. #2480	C₂²	semidirect
79. #2480	C₂²	semidirect
80. #2480	C₂²	semidirect
81. #2472	C₂²	semidirect
82. #2472	C₂²	semidirect
83. #2468	C₂²	semidirect
84. #2468	C₂²	semidirect
85. #2466	C₂²	semidirect
86. #2466	C₂²	semidirect
87. #2461	C₂²	semidirect
88. #2459	C₂²	semidirect
89. #2457	C₂²	semidirect
90. #2455	C₂²	semidirect
91. #2454	C₂²	semidirect
92. #2452	C₂²	semidirect
93. #2447	C₂²	semidirect
94. #2447	C₂²	semidirect
95. #2447	C₂²	semidirect
96. #2447	C₂²	semidirect
97. #2447	C₂²	semidirect
98. #2445	C₂²	semidirect
99. #2442	C₂²	semidirect
100. #2441	C₂²	semidirect
101. #2440	C₂²	semidirect
102. #2439	C₂²	semidirect
103. #2438	C₂²	semidirect
105. #2437	C₂²	semidirect
116. #2427	C₂²	semidirect
117. #2427	C₂²	semidirect
118. #2422	C₂²	semidirect
119. #2420	C₂²	semidirect
120. #2418	C₂²	semidirect
121. #2418	C₂²	semidirect
122. #2417	C₂²	semidirect
123. #2415	C₂²	semidirect
124. #2415	C₂²	semidirect
125. #2413	C₂²	semidirect
127. #2412	C₂²	semidirect
128. #2412	C₂²	semidirect
129. #2411	C₂²	semidirect
132. #2396	C₂²	semidirect
133. #2395	C₂²	semidirect
134. #2392	C₂²	semidirect
136. #2367	C₂²	semidirect
137. #2367	C₂²	semidirect
138. #2367	C₂²	semidirect
139. #2366	C₂²	semidirect
140. #2363	C₂²	semidirect
141. #2362	C₂²	semidirect
142. #2362	C₂²	semidirect
143. #2361	C₂²	semidirect
144. #2360	C₂²	semidirect
145. #2360	C₂²	semidirect
146. #2359	C₂²	semidirect
148. #2358	C₂²	semidirect
149. #2357	C₂²	semidirect
150. #2354	C₂²	semidirect
151. #2344	C₂²	semidirect
153. #2342	C₂²	semidirect
154. #2342	C₂²	semidirect
155. #2326	C₂²	semidirect
156. #2324	C₂²	semidirect
157. #2323	C₂²	semidirect
158. #2319	C₂²	semidirect
159. #2317	C₂²	semidirect
160. #2316	C₂²	semidirect
161. #2311	C₂²	semidirect
162. #2310	C₂²	semidirect
163. #2310	C₂²	semidirect
166. C₄×#124	C₂²	semidirect
167. C₄×C₂²⋊Q₈	C₂²	semidirect
168. C₄×C₂²⋊Q₈	C₂²	semidirect
169. C₄×#121	C₂²	semidirect
170. C₄×#120	C₂²	semidirect
171. #2297	C₂²	semidirect
172. #2296	C₂²	semidirect
173. #2296	C₂²	semidirect
174. #2296	C₂²	semidirect
175. #2293	C₂²	semidirect
176. #2293	C₂²	semidirect
179. #2290	C₂²	semidirect
180. #2290	C₂²	semidirect
181. #2285	C₂²	semidirect
183. #2280	C₂²	semidirect
185. #2274	C₂²	semidirect
186. C₄²×D₄	C₂²	semidirect
187. C₄×#117	C₂²	semidirect
212. C₂×C₄⋊Q₈	C₂³	semidirect
213. C₂×C₄⋊Q₈	C₂³	semidirect
217. C₂×#126	C₂³	semidirect
218. C₂×#126	C₂³	semidirect
219. C₂×#125	C₂³	semidirect
230. C₂×#124	C₂³	semidirect
231. C₂×#124	C₂³	semidirect
235. C₂×#123	C₂³	semidirect
236. C₂×#123	C₂³	semidirect
237. C₂×#123	C₂³	semidirect
247. C₂×C₂²⋊Q₈	C₂³	semidirect
248. C₂×C₂²⋊Q₈	C₂³	semidirect
249. C₂×C₂²⋊Q₈	C₂³	semidirect
266. #518	D₄	semidirect
268. C₂×C₄×Q₈	C₂³	semidirect
269. C₂×C₄×Q₈	C₂³	semidirect
270. C₂×C₄×Q₈	C₂³	semidirect
271. C₂×C₄×Q₈	C₂³	semidirect
290. C₂×C₄×D₄	C₂³	semidirect
291. C₂×C₄×D₄	C₂³	semidirect
292. C₂×C₄×D₄	C₂³	semidirect
309. C₂×#117	C₂³	semidirect
310. C₂×#117	C₂³	semidirect
311. C₂×#117	C₂³	semidirect
336. C₂²×C₄²	C₂³	semidirect
337. #400	C₂³	semidirect
339. #399	C₂³	semidirect
340. #398	C₂³	semidirect
341. #398	C₂³	semidirect
342. #398	C₂³	semidirect
344. #397	C₂³	semidirect
345. #397	C₂³	semidirect
346. #397	C₂³	semidirect
347. #397	C₂³	semidirect
348. #397	C₂³	semidirect
349. #397	C₂³	semidirect
350. #397	C₂³	semidirect
351. #397	C₂³	semidirect
354. #396	C₂³	semidirect
355. #396	C₂³	semidirect
356. #396	C₂³	semidirect
357. #395	C₂³	semidirect
365. #394	C₂³	semidirect
366. #394	C₂³	semidirect
367. #394	C₂³	semidirect
368. #394	C₂³	semidirect
370. #393	C₂³	semidirect
373. #391	C₂³	semidirect
374. #391	C₂³	semidirect
375. #391	C₂³	semidirect
376. #391	C₂³	semidirect
377. #391	C₂³	semidirect
378. #391	C₂³	semidirect
379. #391	C₂³	semidirect
380. #391	C₂³	semidirect
394. #390	C₂³	semidirect
395. #390	C₂³	semidirect
396. #390	C₂³	semidirect
397. #389	C₂³	semidirect
398. #389	C₂³	semidirect
399. #389	C₂³	semidirect
400. #389	C₂³	semidirect
401. #389	C₂³	semidirect
402. #389	C₂³	semidirect
403. #389	C₂³	semidirect
404. #389	C₂³	semidirect
405. #389	C₂³	semidirect
406. #389	C₂³	semidirect
407. #389	C₂³	semidirect
408. #389	C₂³	semidirect
409. #389	C₂³	semidirect
414. #388	C₂³	semidirect
415. #388	C₂³	semidirect
416. #388	C₂³	semidirect
417. #388	C₂³	semidirect
418. #388	C₂³	semidirect
419. #388	C₂³	semidirect
420. #388	C₂³	semidirect
421. #388	C₂³	semidirect
422. #388	C₂³	semidirect
423. #388	C₂³	semidirect
424. #388	C₂³	semidirect
425. #388	C₂³	semidirect
426. #388	C₂³	semidirect
427. #387	C₂³	semidirect
428. #387	C₂³	semidirect
429. #387	C₂³	semidirect
430. #387	C₂³	semidirect
431. #387	C₂³	semidirect
432. #387	C₂³	semidirect
438. #386	C₂³	semidirect
439. #386	C₂³	semidirect
440. #386	C₂³	semidirect
441. #386	C₂³	semidirect
442. #386	C₂³	semidirect
451. #385	C₂³	semidirect
452. #385	C₂³	semidirect
453. #385	C₂³	semidirect
454. #385	C₂³	semidirect
455. #385	C₂³	semidirect
456. #385	C₂³	semidirect
457. #385	C₂³	semidirect
458. #385	C₂³	semidirect
459. #385	C₂³	semidirect
460. #384	C₂³	semidirect
461. #384	C₂³	semidirect
462. #382	C₂³	semidirect
463. #382	C₂³	semidirect
467. #381	C₂³	semidirect
468. #381	C₂³	semidirect
469. #381	C₂³	semidirect
470. #381	C₂³	semidirect
477. #380	C₂³	semidirect
478. #380	C₂³	semidirect
479. #380	C₂³	semidirect
480. #380	C₂³	semidirect
481. #380	C₂³	semidirect
491. C₄×C₄⋊C₄	C₂³	semidirect
492. C₄×C₄⋊C₄	C₂³	semidirect
493. C₄×C₄⋊C₄	C₂³	semidirect
494. C₄×C₄⋊C₄	C₂³	semidirect
495. C₄×C₄⋊C₄	C₂³	semidirect
496. C₄×C₄⋊C₄	C₂³	semidirect
497. C₄×C₄⋊C₄	C₂³	semidirect
498. C₄×C₄⋊C₄	C₂³	semidirect
499. C₄×C₄⋊C₄	C₂³	semidirect
500. C₄×C₄⋊C₄	C₂³	semidirect
501. C₄×C₄⋊C₄	C₂³	semidirect
514. C₄×C₂²⋊C₄	C₂³	semidirect
515. C₄×C₂²⋊C₄	C₂³	semidirect
516. C₄×C₂²⋊C₄	C₂³	semidirect
517. C₄×C₂²⋊C₄	C₂³	semidirect
518. C₄×C₂²⋊C₄	C₂³	semidirect
519. C₄×C₂²⋊C₄	C₂³	semidirect
520. C₄×C₂²⋊C₄	C₂³	semidirect
521. #376	C₂³	semidirect
523. C₄³	C₂³	semidirect
1270. C₂²	#3510	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3510	2
C₂²×#518	2
#36441	2
#36161	2
#36158	2
#36033	2
#35808	2
#35751	2
#35626	2
#35617	2
#35611	2
#35541	2
#35523	2
#35515	2
#35306	2
#35225	2
#35222	2
#34739	2
#34700	2
C₂×#2435	2
#34269	2
#34255	2
#34211	2
#34203	2
#34136	2