Subgroups — #7650060

Order 512.

7078 conjugacy classes of subgroups.

The subgroup lattice has 1272 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#42616	C₂	1	4	yes	maximal, complemented
2	#42589	C₂	1	4	yes	maximal, complemented
3	#42575	C₂	1	4	yes	maximal, complemented
4	#42532	C₂	1	4	yes	maximal, complemented
5	#40536	C₂	1	8	yes	maximal, complemented
6	#40176	C₂	1	4	yes	maximal, complemented
7	#40053	C₂	1	4	yes	maximal, complemented
8	#39405	C₂	1	4	yes	maximal, complemented
9	#39401	C₂	1	4	yes	maximal, complemented
10	#37660	C₂	1	8	yes	maximal, complemented
11	#35584	C₂	1	1	yes	maximal, characteristic, complemented
12	#35558	C₂	1	1	yes	maximal, characteristic, complemented
13	#35554	C₂	1	1	yes	maximal, characteristic, complemented
14	#35529	C₂	1	1	yes	maximal, characteristic, complemented
15	#35528	C₂	1	1	yes	maximal, characteristic, complemented
16	#35514	C₂	1	1	yes	maximal, characteristic, complemented
17	#35272	C₂	1	1	yes	maximal, characteristic, complemented
18	#35264	C₂	1	1	yes	maximal, characteristic, complemented
19	#35222	C₂	1	1	yes	maximal, characteristic, complemented
20	#34814	C₂	1	1	yes	maximal, characteristic, complemented
21	#34742	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#2433	C₂	1	1	yes	maximal, characteristic, complemented
23	#34269	C₂	1	1	yes	maximal, characteristic, complemented
24	#34210	C₂	1	1	yes	maximal, characteristic, complemented
25	#34171	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂⁴×D₄	C₂²	1	1	yes	characteristic
27	C₂×#544	C₂²	1	1	yes	characteristic, complemented
28	C₂×#538	C₂²	1	8	yes	complemented
29	C₂×#535	C₂²	1	1	yes	characteristic
30	C₂×#535	C₂²	1	1	yes	characteristic
31	C₂×#535	C₂²	1	1	yes	characteristic, complemented
32	C₂²×#127	C₂²	1	1	yes	characteristic
33	C₂²×#127	C₂²	1	1	yes	characteristic
34	C₂×#525	C₂²	1	1	yes	characteristic
35	C₂²×#121	C₂²	1	1	yes	characteristic
36	C₂²×#120	C₂²	1	4	yes	—
37	C₂×#518	C₂²	1	1	yes	characteristic
38	C₂×#518	C₂²	1	1	yes	characteristic
39	C₂×#518	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₄×#41	C₂²	1	1	yes	characteristic, complemented
41	#2861	C₂²	1	2	yes	complemented
42	#2858	C₂²	1	2	yes	complemented
43	#2856	C₂²	1	2	yes	complemented
44	#2856	C₂²	1	2	yes	complemented
45	#2846	C₂²	1	4	yes	—
46	#2825	C₂²	1	8	yes	complemented
47	#2824	C₂²	1	8	yes	complemented
48	#2797	C₂²	1	8	yes	complemented
49	#2778	C₂²	1	8	yes	complemented
50	#2756	C₂²	1	8	yes	complemented
51	#2714	C₂²	1	8	yes	complemented
52	#2703	C₂²	1	8	yes	complemented
53	#2697	C₂²	1	8	yes	complemented
54	#2696	C₂²	1	8	yes	complemented
55	#2688	C₂²	1	8	yes	complemented
56	#2685	C₂²	1	8	yes	complemented
57	#2685	C₂²	1	8	yes	complemented
58	#2684	C₂²	1	8	yes	complemented
59	#2678	C₂²	1	8	yes	complemented
60	#2678	C₂²	1	8	yes	complemented
61	#2676	C₂²	1	8	yes	complemented
62	#2670	C₂²	1	8	yes	complemented
63	#2668	C₂²	1	8	yes	complemented
64	#2648	C₂²	1	8	yes	complemented
65	#2641	C₂²	1	2	yes	complemented
66	#2640	C₂²	1	2	yes	complemented
67	#2635	C₂²	1	8	yes	complemented
68	#2631	C₂²	1	8	yes	complemented
69	#2630	C₂²	1	8	yes	complemented
70	#2622	C₂²	1	8	yes	complemented
71	#2619	C₂²	1	2	yes	complemented
72	#2619	C₂²	1	2	yes	complemented
73	#2617	C₂²	1	8	yes	complemented
74	#2613	C₂²	1	4	yes	—
75	#2566	C₂²	1	2	yes	complemented
76	#2566	C₂²	1	2	yes	complemented
77	#2563	C₂²	1	2	yes	complemented
78	#2561	C₂²	1	4	yes	complemented
79	#2548	C₂²	1	4	yes	complemented
80	#2544	C₂²	1	2	yes	complemented
81	#2544	C₂²	1	2	yes	complemented
82	#2542	C₂²	1	2	yes	complemented
83	#2541	C₂²	1	2	yes	complemented
84	#2541	C₂²	1	2	yes	complemented
85	#2541	C₂²	1	4	yes	complemented
86	#2537	C₂²	1	4	yes	complemented
87	#2535	C₂²	1	4	yes	complemented
88	#2513	C₂²	1	4	yes	complemented
89	#2513	C₂²	1	4	yes	complemented
90	#2512	C₂²	1	4	yes	complemented
91	#2512	C₂²	1	4	yes	complemented
92	#2497	C₂²	1	2	yes	complemented
93	#2496	C₂²	1	2	yes	complemented
94	#2495	C₂²	1	2	yes	complemented
95	#2494	C₂²	1	2	yes	complemented
96	#2493	C₂²	1	4	yes	complemented
97	#2491	C₂²	1	4	yes	complemented
98	#2491	C₂²	1	4	yes	complemented
99	#2491	C₂²	1	4	yes	complemented
100	#2490	C₂²	1	4	yes	complemented
101	#2490	C₂²	1	4	yes	complemented
102	#2490	C₂²	1	4	yes	complemented
103	#2480	C₂²	1	4	yes	—
104	#2480	C₂²	1	8	yes	complemented
105	#2472	C₂²	1	8	yes	complemented
106	#2472	C₂²	1	8	yes	complemented
107	#2467	C₂²	1	8	yes	complemented
108	#2456	C₂²	1	8	yes	complemented
109	#2454	C₂²	1	4	yes	complemented
110	#2452	C₂²	1	4	yes	complemented
111	#2445	C₂²	1	4	yes	complemented
112	#2445	C₂²	1	4	yes	complemented
113	#2445	C₂²	1	4	yes	complemented
114	#2445	C₂²	1	4	yes	complemented
115	#2437	C₂²	1	8	yes	complemented
116	#2435	C₂²	1	4	yes	—
117	#2435	C₂²	1	4	yes	complemented
118	#2433	C₂²	1	4	yes	—
119	#2433	C₂²	1	4	yes	—
120	#2433	C₂²	1	4	yes	—
121	#2433	C₂²	1	4	yes	—
122	#2433	C₂²	1	4	yes	complemented
123	#2428	C₂²	1	4	yes	complemented
124	#2428	C₂²	1	4	yes	complemented
125	#2428	C₂²	1	4	yes	complemented
126	#2427	C₂²	1	4	yes	complemented
127	#2424	C₂²	1	8	yes	complemented
128	#2424	C₂²	1	8	yes	complemented
129	#2423	C₂²	1	2	yes	complemented
130	#2422	C₂²	1	2	yes	complemented
131	#2421	C₂²	1	2	yes	complemented
132	#2420	C₂²	1	2	yes	complemented
133	#2419	C₂²	1	4	yes	complemented
134	#2418	C₂²	1	4	yes	—
135	#2418	C₂²	1	8	yes	complemented
136	#2412	C₂²	1	4	yes	complemented
137	#2410	C₂²	1	4	yes	—
138	#2410	C₂²	1	8	yes	complemented
139	#2408	C₂²	1	4	yes	complemented
140	#2408	C₂²	1	4	yes	complemented
141	#2408	C₂²	1	8	yes	complemented
142	#2405	C₂²	1	8	yes	complemented
143	#2401	C₂²	1	4	yes	complemented
144	#2395	C₂²	1	4	yes	complemented
145	C₂×#392	C₂²	1	4	yes	—
146	#2367	C₂²	1	4	yes	complemented
147	#2366	C₂²	1	4	yes	complemented
148	#2366	C₂²	1	4	yes	complemented
149	#2366	C₂²	1	4	yes	complemented
150	#2358	C₂²	1	8	yes	complemented
151	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
152	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
153	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
154	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
155	D₄×C₂²⋊C₄	C₂²	1	8	yes	complemented
156	#2328	C₂²	1	4	yes	complemented
157	#2324	C₂²	1	4	yes	complemented
158	#2321	C₂²	1	8	yes	complemented
159	#2317	C₂²	1	1	yes	characteristic, complemented
160	#2311	C₂²	1	1	yes	characteristic, complemented
161	#2309	C₂²	1	1	yes	characteristic
162	#2309	C₂²	1	1	yes	characteristic
163	#2309	C₂²	1	1	yes	characteristic
164	#2309	C₂²	1	1	yes	characteristic
165	#2309	C₂²	1	1	yes	characteristic, complemented
166	#2309	C₂²	1	1	yes	characteristic, complemented
167	#2308	C₂²	1	4	yes	—
168	C₄×#127	C₂²	1	4	yes	complemented
169	C₄×#126	C₂²	1	4	yes	complemented
170	C₄×#123	C₂²	1	4	yes	complemented
171	C₄×#121	C₂²	1	4	yes	complemented
172	#2297	C₂²	1	1	yes	characteristic, complemented
173	#2296	C₂²	1	1	yes	characteristic, complemented
174	#2296	C₂²	1	1	yes	characteristic, complemented
175	#2296	C₂²	1	1	yes	characteristic, complemented
176	C₂×#390	C₂²	1	1	yes	characteristic
177	C₂×#390	C₂²	1	1	yes	characteristic
178	#2285	C₂²	1	1	yes	characteristic, complemented
179	#2285	C₂²	1	1	yes	characteristic, complemented
180	#2280	C₂²	1	1	yes	characteristic
181	#2280	C₂²	1	1	yes	characteristic
182	#2280	C₂²	1	1	yes	characteristic
183	C₂×#379	C₂²	1	4	yes	—
184	#2274	C₂²	1	1	yes	characteristic, complemented
185	C₄×#117	C₂²	1	1	yes	characteristic, complemented
186	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
187	C₂⁶	C₂³	1	2	yes	—
188	C₂²×#41	C₂³	1	1	yes	characteristic
189	C₂³×D₄	—	2	8	no	—
190	C₂³×D₄	—	4	4	no	—
191	C₂³×D₄	—	4	4	no	—
192	C₂³×D₄	C₂³	1	1	yes	characteristic
193	C₂³×D₄	C₂³	1	1	yes	characteristic
194	C₂³×D₄	C₂³	1	1	yes	characteristic
195	C₂³×D₄	C₂³	1	2	yes	—
196	C₂³×D₄	C₂³	1	4	yes	—
197	C₂³×D₄	C₂³	1	4	yes	—
198	C₂³×D₄	C₂³	1	4	yes	—
199	C₂³×D₄	C₂³	1	2	yes	—
200	C₂³×D₄	C₂³	1	4	yes	—
201	C₂⁴×C₄	C₂³	1	1	yes	characteristic
202	#544	—	4	4	no	—
203	#538	—	4	32	no	—
204	#535	—	2	8	no	—
205	#535	—	4	4	no	—
206	#535	—	4	4	no	—
207	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
208	C₂×C₄⋊Q₈	C₂³	1	2	yes	complemented
209	C₂×#127	—	2	8	no	—
210	C₂×#127	—	4	4	no	—
211	C₂×#127	C₂³	1	2	yes	—
212	C₂×#127	C₂³	1	2	yes	—
213	C₂×#127	C₂³	1	4	yes	—
214	C₂×#127	C₂³	1	2	yes	—
215	C₂×#127	C₂³	1	2	yes	—
216	C₂×#127	C₂³	1	2	yes	—
217	C₂×#127	C₂³	1	2	yes	—
218	C₂×#127	C₂³	1	4	yes	—
219	C₂×#127	C₂³	1	2	yes	complemented
220	C₂×#126	C₂³	1	4	yes	—
221	C₂×#126	C₂³	1	8	yes	complemented
222	C₂×#125	C₂³	1	2	yes	complemented
223	C₂×#125	C₂³	1	2	yes	complemented
224	C₂×#124	C₂³	1	2	yes	—
225	C₂×#124	C₂³	1	2	yes	—
226	C₂×#124	C₂³	1	8	yes	—
227	C₂×#124	C₂³	1	8	yes	complemented
228	C₂×#124	C₂³	1	2	yes	complemented
229	#525	—	4	4	no	—
230	C₂×#123	C₂³	1	4	yes	—
231	C₂×#123	C₂³	1	2	yes	—
232	C₂×#123	C₂³	1	8	yes	complemented
233	C₂×#123	C₂³	1	8	yes	complemented
234	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
235	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
236	C₂×C₂²⋊Q₈	C₂³	1	8	yes	complemented
237	C₂×#121	—	4	4	no	—
238	C₂×#121	C₂³	1	4	yes	—
239	C₂×#121	C₂³	1	2	yes	—
240	C₂×#121	C₂³	1	2	yes	—
241	C₂×#121	C₂³	1	4	yes	—
242	C₂×#121	C₂³	1	4	yes	—
243	C₂×#121	C₂³	1	8	yes	—
244	C₂×#121	C₂³	1	2	yes	—
245	C₂×#121	C₂³	1	2	yes	complemented
246	C₂×#121	C₂³	1	2	yes	complemented
247	C₂×#121	C₂³	1	8	yes	complemented
248	C₂×#121	C₂³	1	8	yes	complemented
249	C₂×#121	C₂³	1	8	yes	complemented
250	C₂×#121	C₂³	1	8	yes	complemented
251	C₂×#120	—	4	16	no	—
252	C₂×#120	C₂³	1	8	yes	—
253	C₂×#120	C₂³	1	4	yes	—
254	C₂×#120	C₂³	1	2	yes	—
255	C₂×#120	C₂³	1	4	yes	—
256	C₂×#120	C₂³	1	8	yes	—
257	C₂×#120	C₂³	1	8	yes	—
258	C₂×#120	C₂³	1	8	yes	—
259	C₂×#120	C₂³	1	8	yes	—
260	C₂×#120	C₂³	1	4	yes	—
261	C₂×#120	C₂³	1	8	yes	—
262	#518	—	4	4	no	—
263	#518	—	4	4	no	—
264	#518	—	4	4	no	—
265	C₄×#41	—	4	4	no	—
266	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
267	C₂×C₄×D₄	C₂³	1	4	yes	—
268	C₂×C₄×D₄	C₂³	1	2	yes	—
269	C₂×C₄×D₄	C₂³	1	2	yes	—
270	C₂×C₄×D₄	C₂³	1	4	yes	—
271	C₂×C₄×D₄	C₂³	1	2	yes	—
272	C₂×C₄×D₄	C₂³	1	2	yes	—
273	C₂×C₄×D₄	C₂³	1	4	yes	—
274	C₂×C₄×D₄	C₂³	1	4	yes	—
275	C₂×C₄×D₄	C₂³	1	4	yes	complemented
276	C₂×C₄×D₄	C₂³	1	8	yes	complemented
277	C₂×C₄×D₄	C₂³	1	8	yes	complemented
278	C₂×C₄×D₄	C₂³	1	2	yes	complemented
279	C₂×C₄×D₄	C₂³	1	4	yes	complemented
280	C₂×C₄×D₄	C₂³	1	8	yes	complemented
281	C₂×#117	C₂³	1	1	yes	characteristic
282	C₂×#117	C₂³	1	1	yes	characteristic
283	C₂×#117	C₂³	1	1	yes	characteristic
284	C₂×#117	C₂³	1	1	yes	characteristic
285	C₂×#117	C₂³	1	1	yes	characteristic
286	C₂×#117	C₂³	1	1	yes	characteristic
287	C₂×#117	C₂³	1	1	yes	characteristic
288	C₂×#117	C₂³	1	2	yes	complemented
289	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
291	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
292	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
293	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
294	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
295	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
296	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
297	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
298	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
299	C₂²×C₄²	C₂³	1	1	yes	characteristic
300	C₂²×C₄²	C₂³	1	1	yes	characteristic
301	C₂²×C₄²	C₂³	1	2	yes	complemented
302	#401	C₂³	1	4	yes	complemented
303	#400	C₂³	1	4	yes	complemented
304	#400	C₂³	1	4	yes	complemented
305	#400	C₂³	1	4	yes	complemented
306	#400	C₂³	1	4	yes	complemented
307	#399	C₂³	1	4	yes	—
308	#399	C₂³	1	8	yes	complemented
309	#398	C₂³	1	4	yes	complemented
310	#397	C₂³	1	4	yes	—
311	#397	C₂³	1	4	yes	—
312	#397	C₂³	1	4	yes	—
313	#397	C₂³	1	4	yes	—
314	#397	C₂³	1	8	yes	complemented
315	#397	C₂³	1	8	yes	complemented
316	#397	C₂³	1	8	yes	complemented
317	#397	C₂³	1	4	yes	complemented
318	#397	C₂³	1	8	yes	complemented
319	#397	C₂³	1	8	yes	complemented
320	#397	C₂³	1	4	yes	complemented
321	#397	C₂³	1	8	yes	complemented
322	#396	C₂³	1	4	yes	—
323	#396	C₂³	1	8	yes	complemented
324	#396	C₂³	1	8	yes	complemented
325	#396	C₂³	1	8	yes	complemented
326	#394	C₂³	1	8	yes	—
327	#394	C₂³	1	8	yes	—
328	#394	C₂³	1	4	yes	—
329	#394	C₂³	1	8	yes	—
330	#394	C₂³	1	8	yes	—
331	#394	C₂³	1	8	yes	—
332	#394	C₂³	1	4	yes	—
333	#394	C₂³	1	8	yes	complemented
334	#394	C₂³	1	8	yes	complemented
335	#394	C₂³	1	8	yes	complemented
336	#394	C₂³	1	8	yes	complemented
337	#394	C₂³	1	8	yes	complemented
338	#394	C₂³	1	8	yes	complemented
339	#394	C₂³	1	8	yes	complemented
340	#394	C₂³	1	8	yes	complemented
341	#394	C₂³	1	8	yes	complemented
342	#394	C₂³	1	8	yes	complemented
343	#394	C₂³	1	8	yes	complemented
344	#393	C₂³	1	8	yes	complemented
345	#393	C₂³	1	8	yes	complemented
346	#393	C₂³	1	8	yes	complemented
347	#392	C₂³	1	8	yes	—
348	#392	C₂³	1	8	yes	—
349	#392	C₂³	1	8	yes	—
350	#392	C₂³	1	8	yes	—
351	#392	C₂³	1	8	yes	—
352	#392	C₂³	1	8	yes	—
353	#392	C₂³	1	8	yes	—
354	#392	C₂³	1	8	yes	complemented
355	#392	C₂³	1	8	yes	complemented
356	#392	C₂³	1	8	yes	complemented
357	#392	C₂³	1	8	yes	complemented
358	#391	C₂³	1	2	yes	complemented
359	#391	C₂³	1	1	yes	characteristic, complemented
360	#391	C₂³	1	1	yes	characteristic, complemented
361	#390	C₂³	1	4	yes	—
362	#390	C₂³	1	2	yes	—
363	#390	C₂³	1	2	yes	—
364	#390	C₂³	1	2	yes	—
365	#390	C₂³	1	2	yes	—
366	#390	C₂³	1	2	yes	—
367	#390	C₂³	1	2	yes	—
368	#390	C₂³	1	2	yes	—
369	#390	C₂³	1	4	yes	—
370	#390	C₂³	1	4	yes	—
371	#390	C₂³	1	4	yes	—
372	#390	C₂³	1	4	yes	—
373	#390	C₂³	1	2	yes	—
374	#390	C₂³	1	8	yes	—
375	#390	C₂³	1	2	yes	—
376	#390	C₂³	1	4	yes	—
377	#390	C₂³	1	2	yes	—
378	#390	C₂³	1	4	yes	—
379	#390	C₂³	1	4	yes	complemented
380	#390	C₂³	1	8	yes	complemented
381	#390	C₂³	1	8	yes	complemented
382	#390	C₂³	1	2	yes	complemented
383	#390	C₂³	1	2	yes	complemented
384	#390	C₂³	1	4	yes	complemented
385	#390	C₂³	1	2	yes	complemented
386	#390	C₂³	1	2	yes	complemented
387	#390	C₂³	1	2	yes	complemented
388	#390	C₂³	1	8	yes	complemented
389	#390	C₂³	1	8	yes	complemented
390	#390	C₂³	1	8	yes	complemented
391	#390	C₂³	1	1	yes	characteristic, complemented
392	#390	C₂³	1	8	yes	complemented
393	#390	C₂³	1	1	yes	characteristic, complemented
394	#389	C₂³	1	4	yes	complemented
395	#389	C₂³	1	2	yes	complemented
396	#389	C₂³	1	2	yes	complemented
397	#389	C₂³	1	2	yes	complemented
398	#389	C₂³	1	2	yes	complemented
399	#389	C₂³	1	2	yes	complemented
400	#389	C₂³	1	2	yes	complemented
401	#388	C₂³	1	4	yes	—
402	#388	C₂³	1	4	yes	—
403	#388	C₂³	1	4	yes	—
404	#388	C₂³	1	4	yes	—
405	#388	C₂³	1	4	yes	—
406	#388	C₂³	1	8	yes	complemented
407	#388	C₂³	1	8	yes	complemented
408	#388	C₂³	1	8	yes	complemented
409	#388	C₂³	1	8	yes	complemented
410	#388	C₂³	1	8	yes	complemented
411	#388	C₂³	1	8	yes	complemented
412	#388	C₂³	1	8	yes	complemented
413	#388	C₂³	1	8	yes	complemented
414	#388	C₂³	1	8	yes	complemented
415	#387	C₂³	1	4	yes	complemented
416	#387	C₂³	1	4	yes	complemented
417	#387	C₂³	1	4	yes	complemented
418	#387	C₂³	1	4	yes	complemented
419	#387	C₂³	1	4	yes	complemented
420	#386	C₂³	1	8	yes	—
421	#386	C₂³	1	8	yes	—
422	#386	C₂³	1	8	yes	—
423	#386	C₂³	1	8	yes	—
424	#386	C₂³	1	4	yes	—
425	#386	C₂³	1	8	yes	—
426	#386	C₂³	1	4	yes	—
427	#386	C₂³	1	4	yes	—
428	#386	C₂³	1	8	yes	complemented
429	#386	C₂³	1	8	yes	complemented
430	#386	C₂³	1	8	yes	complemented
431	#386	C₂³	1	8	yes	complemented
432	#386	C₂³	1	8	yes	complemented
433	#386	C₂³	1	8	yes	complemented
434	#386	C₂³	1	8	yes	complemented
435	#386	C₂³	1	8	yes	complemented
436	#386	C₂³	1	8	yes	complemented
437	#386	C₂³	1	8	yes	complemented
438	#386	C₂³	1	8	yes	complemented
439	#385	C₂³	1	4	yes	—
440	#385	C₂³	1	4	yes	—
441	#385	C₂³	1	4	yes	—
442	#385	C₂³	1	4	yes	—
443	#385	C₂³	1	8	yes	complemented
444	#385	C₂³	1	8	yes	complemented
445	#385	C₂³	1	8	yes	complemented
446	#385	C₂³	1	4	yes	complemented
447	#384	C₂³	1	2	yes	complemented
448	#384	C₂³	1	1	yes	characteristic, complemented
449	#384	C₂³	1	2	yes	complemented
450	#384	C₂³	1	1	yes	characteristic, complemented
451	#383	C₂³	1	4	yes	complemented
452	#382	C₂³	1	1	yes	characteristic, complemented
453	#382	C₂³	1	2	yes	complemented
454	#382	C₂³	1	1	yes	characteristic, complemented
455	#382	C₂³	1	2	yes	complemented
456	#381	C₂³	1	2	yes	—
457	#381	C₂³	1	2	yes	—
458	#381	C₂³	1	2	yes	—
459	#381	C₂³	1	4	yes	complemented
460	#380	C₂³	1	4	yes	—
461	#380	C₂³	1	2	yes	—
462	#380	C₂³	1	2	yes	—
463	#380	C₂³	1	2	yes	—
464	#380	C₂³	1	2	yes	—
465	#380	C₂³	1	4	yes	—
466	#380	C₂³	1	2	yes	—
467	#380	C₂³	1	2	yes	—
468	#380	C₂³	1	8	yes	complemented
469	#380	C₂³	1	4	yes	complemented
470	#380	C₂³	1	8	yes	complemented
471	#379	C₂³	1	4	yes	—
472	#379	C₂³	1	4	yes	—
473	#379	C₂³	1	4	yes	—
474	#379	C₂³	1	4	yes	—
475	#379	C₂³	1	4	yes	—
476	#379	C₂³	1	4	yes	—
477	#379	C₂³	1	8	yes	—
478	#379	C₂³	1	2	yes	—
479	#379	C₂³	1	8	yes	—
480	#379	C₂³	1	8	yes	—
481	#379	C₂³	1	8	yes	—
482	#379	C₂³	1	2	yes	—
483	#379	C₂³	1	2	yes	—
484	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
485	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
486	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
487	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
488	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
489	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
490	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
491	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
492	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
493	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
494	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
495	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
496	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
497	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
498	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
499	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
500	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
501	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
502	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
503	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
504	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
505	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
506	#376	C₂³	1	2	yes	complemented
507	C₂×#95	C₂³	1	2	yes	—
508	C₄³	C₂³	1	2	yes	complemented
509	C₂⁵	—	2	8	no	—
510	C₂⁵	—	4	4	no	—
511	C₂⁵	—	4	4	no	—
512	C₂⁵	—	4	8	no	—
513	C₂⁵	—	8	4	no	—
514	C₂⁵	C₂⁴	1	1	yes	characteristic
515	C₂⁵	C₂⁴	1	2	yes	—
516	C₂⁵	C₂⁴	1	2	yes	—
517	C₂⁵	C₂⁴	1	8	yes	—
518	C₂⁵	C₂⁴	1	2	yes	—
519	C₂×#41	—	2	4	no	—
520	C₂×#41	—	2	4	no	—
521	C₂×#41	—	2	4	no	—
522	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
523	C₂²×Q₈	C₂⁴	1	4	yes	—
524	C₂²×D₄	—	2	8	no	—
525	C₂²×D₄	—	2	16	no	—
526	C₂²×D₄	—	2	16	no	—
527	C₂²×D₄	—	2	16	no	—
528	C₂²×D₄	—	2	4	no	—
529	C₂²×D₄	—	2	4	no	—
530	C₂²×D₄	—	2	4	no	—
531	C₂²×D₄	—	2	4	no	—
532	C₂²×D₄	—	2	4	no	—
533	C₂²×D₄	—	2	4	no	—
534	C₂²×D₄	—	2	4	no	—
535	C₂²×D₄	—	2	4	no	—
536	C₂²×D₄	—	4	8	no	—
537	C₂²×D₄	—	4	8	no	—
538	C₂²×D₄	—	4	8	no	—
539	C₂²×D₄	—	4	8	no	—
540	C₂²×D₄	—	4	8	no	—
541	C₂²×D₄	—	4	8	no	—
542	C₂²×D₄	—	4	4	no	—
543	C₂²×D₄	—	4	4	no	—
544	C₂²×D₄	—	4	4	no	—
545	C₂²×D₄	—	4	8	no	—
546	C₂²×D₄	—	4	8	no	—
547	C₂²×D₄	—	4	64	no	—
548	C₂²×D₄	—	8	4	no	—
549	C₂²×D₄	—	8	4	no	—
550	C₂²×D₄	#41	1	8	yes	—
551	C₂²×D₄	C₂⁴	1	2	yes	—
552	C₂²×D₄	C₂⁴	1	2	yes	—
553	C₂²×D₄	C₂⁴	1	2	yes	—
554	C₂²×D₄	C₂⁴	1	1	yes	characteristic
555	C₂²×D₄	C₂⁴	1	2	yes	—
556	C₂²×D₄	C₂⁴	1	2	yes	—
557	C₂²×D₄	C₂⁴	1	8	yes	—
558	C₂²×D₄	C₂⁴	1	2	yes	—
559	C₂²×D₄	C₂⁴	1	2	yes	—
560	C₂²×D₄	C₂⁴	1	4	yes	—
561	C₂²×D₄	C₂⁴	1	8	yes	—
562	C₂²×D₄	C₂⁴	1	8	yes	—
563	C₂²×D₄	C₂⁴	1	8	yes	—
564	C₂²×D₄	C₂⁴	1	8	yes	—
565	C₂²×D₄	C₂⁴	1	8	yes	—
566	C₂²×D₄	C₂⁴	1	4	yes	—
567	C₂²×D₄	C₂⁴	1	4	yes	—
568	C₂²×D₄	C₂⁴	1	8	yes	—
569	C₂²×D₄	C₂⁴	1	4	yes	—
570	C₂²×D₄	C₂⁴	1	4	yes	—
571	C₂³×C₄	—	2	4	no	—
572	C₂³×C₄	—	2	4	no	—
573	C₂³×C₄	—	2	4	no	—
574	C₂³×C₄	C₂⁴	1	1	yes	characteristic
575	C₂³×C₄	C₂⁴	1	2	yes	—
576	C₂³×C₄	C₂⁴	1	2	yes	—
577	C₂³×C₄	C₂⁴	1	2	yes	—
578	C₂³×C₄	C₂⁴	1	2	yes	—
579	C₂³×C₄	C₂⁴	1	2	yes	—
580	C₂³×C₄	C₂⁴	1	2	yes	—
581	C₂³×C₄	C₂⁴	1	4	yes	—
582	C₂³×C₄	C₂⁴	1	8	yes	—
583	C₂³×C₄	C₂⁴	1	4	yes	—
584	C₂³×C₄	C₂⁴	1	4	yes	—
585	C₂³×C₄	C₂⁴	1	8	yes	—
586	C₂³×C₄	C₂⁴	1	1	yes	characteristic
587	C₄⋊Q₈	—	4	4	no	—
588	C₄⋊Q₈	—	4	4	no	—
589	#127	—	2	8	no	—
590	#127	—	2	16	no	—
591	#127	—	2	8	no	—
592	#127	—	2	8	no	—
593	#127	—	4	4	no	—
594	#127	—	4	4	no	—
595	#127	—	4	8	no	—
596	#127	—	4	4	no	—
597	#127	—	4	4	no	—
598	#126	—	2	16	no	—
599	#126	—	4	16	no	—
600	#125	—	4	4	no	—
601	#125	—	4	4	no	—
602	#124	—	2	8	no	—
603	#124	—	4	16	no	—
604	#124	—	4	4	no	—
605	#124	—	4	4	no	—
606	#124	—	4	16	no	—
607	#123	—	2	16	no	—
608	#123	—	4	4	no	—
609	#123	—	4	16	no	—
610	#123	—	8	8	no	—
611	C₂²⋊Q₈	—	4	8	no	—
612	C₂²⋊Q₈	—	4	16	no	—
613	C₂²⋊Q₈	—	4	4	no	—
614	#121	—	2	16	no	—
615	#121	—	4	16	no	—
616	#121	—	4	16	no	—
617	#121	—	4	8	no	—
618	#121	—	4	8	no	—
619	#121	—	4	4	no	—
620	#121	—	4	4	no	—
621	#121	—	4	4	no	—
622	#121	—	4	4	no	—
623	#121	—	4	4	no	—
624	#121	—	4	16	no	—
625	#121	—	8	8	no	—
626	#121	—	8	8	no	—
627	#120	—	2	16	no	—
628	#120	—	2	32	no	—
629	#120	—	4	16	no	—
630	#120	—	4	16	no	—
631	#120	—	4	16	no	—
632	#120	—	4	4	no	—
633	#120	—	4	8	no	—
634	#120	—	4	8	no	—
635	#120	—	4	16	no	—
636	#120	—	8	8	no	—
637	C₄×Q₈	—	4	4	no	—
638	C₄×D₄	—	4	8	no	—
639	C₄×D₄	—	4	8	no	—
640	C₄×D₄	—	4	4	no	—
641	C₄×D₄	—	4	4	no	—
642	C₄×D₄	—	4	4	no	—
643	C₄×D₄	—	4	4	no	—
644	C₄×D₄	—	4	4	no	—
645	C₄×D₄	—	4	8	no	—
646	C₄×D₄	—	4	8	no	—
647	C₄×D₄	—	4	16	no	—
648	C₄×D₄	—	4	8	no	—
649	C₄×D₄	—	4	16	no	—
650	C₄×D₄	—	4	8	no	—
651	C₄×D₄	—	8	8	no	—
652	#117	—	2	4	no	—
653	#117	—	2	4	no	—
654	#117	—	2	4	no	—
655	#117	—	2	4	no	—
656	#117	—	2	4	no	—
657	#117	—	2	4	no	—
658	#117	—	2	4	no	—
659	#117	—	4	4	no	—
660	C₂×C₄⋊C₄	—	2	4	no	—
661	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
662	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
663	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
664	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
665	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
666	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
667	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
668	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
669	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
670	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
671	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
672	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
673	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
674	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
675	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
676	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
677	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
678	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
679	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
680	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
681	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
682	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
683	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
684	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
685	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
686	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
687	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
688	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
689	C₂×C₂²⋊C₄	—	2	8	no	—
690	C₂×C₂²⋊C₄	—	4	8	no	—
691	C₂×C₂²⋊C₄	—	4	8	no	—
692	C₂×C₂²⋊C₄	—	4	8	no	—
693	C₂×C₂²⋊C₄	—	4	8	no	—
694	C₂×C₂²⋊C₄	—	4	8	no	—
695	C₂×C₂²⋊C₄	—	4	16	no	—
696	C₂×C₂²⋊C₄	—	4	4	no	—
697	C₂×C₂²⋊C₄	—	8	8	no	—
698	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
699	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
700	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
701	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
702	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
703	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
704	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
705	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
706	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
707	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
708	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
709	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
710	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
711	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
712	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
713	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
714	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
715	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
716	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
717	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
718	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
719	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
720	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
721	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
722	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
723	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
724	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
725	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
726	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
727	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
728	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
729	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
730	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
731	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
732	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
733	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
734	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
735	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
736	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
737	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
738	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
739	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
740	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
741	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
742	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
743	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
744	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
745	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
746	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
747	C₂×C₄²	—	2	4	no	—
748	C₂×C₄²	—	2	4	no	—
749	C₂×C₄²	—	4	4	no	—
750	C₂×C₄²	C₂⁴	1	2	yes	—
751	C₂×C₄²	C₂⁴	1	2	yes	—
752	C₂×C₄²	C₂⁴	1	2	yes	—
753	C₂×C₄²	C₂⁴	1	2	yes	—
754	C₂×C₄²	C₂⁴	1	2	yes	—
755	C₂×C₄²	C₂⁴	1	2	yes	—
756	C₂×C₄²	C₂⁴	1	2	yes	—
757	C₂×C₄²	C₂⁴	1	1	yes	characteristic
758	C₂×C₄²	C₂⁴	1	4	yes	—
759	C₂×C₄²	C₂⁴	1	2	yes	—
760	C₂×C₄²	C₂⁴	1	1	yes	characteristic
761	C₂×C₄²	C₂⁴	1	1	yes	characteristic
762	C₂×C₄²	C₂⁴	1	2	yes	—
763	C₂×C₄²	C₂⁴	1	1	yes	characteristic
764	C₂×C₄²	C₂⁴	1	4	yes	—
765	C₂×C₄²	C₂⁴	1	4	yes	—
766	C₂×C₄²	C₂⁴	1	8	yes	—
767	#95	C₂⁴	1	2	yes	—
768	#95	C₂⁴	1	2	yes	—
769	#95	C₂⁴	1	2	yes	—
770	#95	C₂⁴	1	2	yes	—
771	#95	C₂⁴	1	4	yes	—
772	#95	C₂⁴	1	4	yes	—
773	#95	C₂⁴	1	8	yes	—
774	#95	C₂⁴	1	4	yes	—
775	#95	C₂⁴	1	4	yes	—
776	#95	C₂⁴	1	4	yes	—
777	#95	C₂⁴	1	4	yes	—
778	#95	C₂⁴	1	4	yes	—
779	#95	C₂⁴	1	4	yes	—
780	#95	C₂⁴	1	4	yes	—
781	#95	C₂⁴	1	8	yes	—
782	#95	C₂⁴	1	4	yes	—
783	#95	C₂⁴	1	4	yes	—
784	#95	C₂⁴	1	4	yes	—
785	#95	C₂⁴	1	4	yes	—
786	#95	C₂⁴	1	4	yes	—
787	#95	C₂⁴	1	4	yes	—
788	#95	C₂⁴	1	4	yes	—
789	#95	C₂⁴	1	4	yes	—
790	#95	C₂⁴	1	4	yes	—
791	#95	C₂⁴	1	4	yes	—
792	#95	C₂⁴	1	4	yes	—
793	#95	C₂⁴	1	8	yes	—
794	C₂⁴	—	2	4	no	—
795	C₂⁴	—	2	2	no	—
796	C₂⁴	—	2	4	no	—
797	C₂⁴	—	2	4	no	—
798	C₂⁴	—	2	2	no	—
799	C₂⁴	—	2	2	no	—
800	C₂⁴	—	2	4	no	—
801	C₂⁴	—	2	16	no	—
802	C₂⁴	—	2	4	no	—
803	C₂⁴	—	2	4	no	—
804	C₂⁴	—	2	4	no	—
805	C₂⁴	—	2	16	no	—
806	C₂⁴	—	2	4	no	—
807	C₂⁴	—	2	4	no	—
808	C₂⁴	—	4	2	no	—
809	C₂⁴	—	4	4	no	—
810	C₂⁴	—	4	4	no	—
811	C₂⁴	—	4	8	no	—
812	C₂⁴	—	4	8	no	—
813	C₂⁴	—	4	8	no	—
814	C₂⁴	—	4	4	no	—
815	C₂⁴	—	4	4	no	—
816	C₂⁴	—	4	8	no	—
817	C₂⁴	—	4	8	no	—
818	C₂⁴	—	4	4	no	—
819	C₂⁴	—	4	4	no	—
820	C₂⁴	—	4	32	no	—
821	C₂⁴	—	8	16	no	—
822	C₂⁴	—	8	32	no	—
823	C₂⁴	—	8	32	no	—
824	C₂⁴	—	8	16	no	—
825	C₂⁴	C₂×#41	1	8	yes	—
826	C₂⁴	C₂⁵	1	4	yes	—
827	C₂⁴	C₂⁵	1	4	yes	—
828	C₂⁴	C₂⁵	1	2	yes	—
829	C₂⁴	C₂⁵	1	4	yes	—
830	C₂⁴	C₂⁵	1	2	yes	—
831	C₂⁴	C₂⁵	1	1	yes	characteristic
832	#41	—	4	16	no	—
833	C₂×Q₈	—	2	2	no	—
834	C₂×Q₈	—	2	2	no	—
835	C₂×Q₈	—	2	2	no	—
836	C₂×Q₈	—	4	8	no	—
837	C₂×Q₈	—	4	4	no	—
838	C₂×D₄	—	2	4	no	—
839	C₂×D₄	—	2	16	no	—
840	C₂×D₄	—	2	16	no	—
841	C₂×D₄	—	2	4	no	—
842	C₂×D₄	—	2	4	no	—
843	C₂×D₄	—	2	16	no	—
844	C₂×D₄	—	2	16	no	—
845	C₂×D₄	—	2	16	no	—
846	C₂×D₄	—	2	8	no	—
847	C₂×D₄	—	2	32	no	—
848	C₂×D₄	—	2	4	no	—
849	C₂×D₄	—	2	4	no	—
850	C₂×D₄	—	2	2	no	—
851	C₂×D₄	—	2	4	no	—
852	C₂×D₄	—	2	4	no	—
853	C₂×D₄	—	2	4	no	—
854	C₂×D₄	—	2	4	no	—
855	C₂×D₄	—	2	4	no	—
856	C₂×D₄	—	2	4	no	—
857	C₂×D₄	—	2	2	no	—
858	C₂×D₄	—	2	4	no	—
859	C₂×D₄	—	2	4	no	—
860	C₂×D₄	—	2	16	no	—
861	C₂×D₄	—	2	4	no	—
862	C₂×D₄	—	2	4	no	—
863	C₂×D₄	—	2	4	no	—
864	C₂×D₄	—	2	4	no	—
865	C₂×D₄	—	2	2	no	—
866	C₂×D₄	—	2	4	no	—
867	C₂×D₄	—	2	4	no	—
868	C₂×D₄	—	2	16	no	—
869	C₂×D₄	—	4	8	no	—
870	C₂×D₄	—	4	8	no	—
871	C₂×D₄	—	4	8	no	—
872	C₂×D₄	—	4	4	no	—
873	C₂×D₄	—	4	8	no	—
874	C₂×D₄	—	4	8	no	—
875	C₂×D₄	—	4	8	no	—
876	C₂×D₄	—	4	8	no	—
877	C₂×D₄	—	4	4	no	—
878	C₂×D₄	—	4	8	no	—
879	C₂×D₄	—	4	8	no	—
880	C₂×D₄	—	4	8	no	—
881	C₂×D₄	—	4	8	no	—
882	C₂×D₄	—	4	8	no	—
883	C₂×D₄	—	4	8	no	—
884	C₂×D₄	—	4	8	no	—
885	C₂×D₄	—	4	8	no	—
886	C₂×D₄	—	4	4	no	—
887	C₂×D₄	—	4	4	no	—
888	C₂×D₄	—	4	4	no	—
889	C₂×D₄	—	4	4	no	—
890	C₂×D₄	—	4	8	no	—
891	C₂×D₄	—	4	8	no	—
892	C₂×D₄	—	4	8	no	—
893	C₂×D₄	—	4	64	no	—
894	C₂×D₄	—	4	64	no	—
895	C₂×D₄	—	4	32	no	—
896	C₂×D₄	—	4	16	no	—
897	C₂×D₄	—	4	16	no	—
898	C₂×D₄	—	8	32	no	—
899	C₂×D₄	—	8	32	no	—
900	C₂×D₄	—	8	16	no	—
901	C₂×D₄	C₂×#41	1	8	yes	—
902	C₂×D₄	C₂×#41	1	8	yes	—
903	C₂²×C₄	—	2	4	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	4	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	4	no	—
909	C₂²×C₄	—	2	4	no	—
910	C₂²×C₄	—	2	4	no	—
911	C₂²×C₄	—	2	4	no	—
912	C₂²×C₄	—	2	4	no	—
913	C₂²×C₄	—	2	4	no	—
914	C₂²×C₄	—	2	4	no	—
915	C₂²×C₄	—	2	4	no	—
916	C₂²×C₄	—	2	4	no	—
917	C₂²×C₄	—	2	4	no	—
918	C₂²×C₄	—	2	4	no	—
919	C₂²×C₄	—	2	4	no	—
920	C₂²×C₄	—	2	8	no	—
921	C₂²×C₄	—	4	2	no	—
922	C₂²×C₄	—	4	2	no	—
923	C₂²×C₄	—	4	4	no	—
924	C₂²×C₄	—	4	4	no	—
925	C₂²×C₄	—	4	4	no	—
926	C₂²×C₄	—	4	8	no	—
927	C₂²×C₄	—	4	8	no	—
928	C₂²×C₄	—	4	8	no	—
929	C₂²×C₄	—	4	4	no	—
930	C₂²×C₄	—	4	4	no	—
931	C₂²×C₄	—	4	8	no	—
932	C₂²×C₄	—	4	8	no	—
933	C₂²×C₄	—	4	8	no	—
934	C₂²×C₄	—	4	8	no	—
935	C₂²×C₄	—	4	8	no	—
936	C₂²×C₄	—	4	16	no	—
937	C₂²×C₄	C₂×#41	1	4	yes	—
938	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
939	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
940	C₂²×C₄	C₂⁵	1	2	yes	—
941	C₂²×C₄	C₂⁵	1	2	yes	—
942	C₂²×C₄	C₂⁵	1	2	yes	—
943	C₂²×C₄	C₂⁵	1	2	yes	—
944	C₂²×C₄	C₂⁵	1	4	yes	—
945	C₂²×C₄	C₂⁵	1	4	yes	—
946	C₂²×C₄	C₂⁵	1	2	yes	—
947	C₂²×C₄	C₂⁵	1	4	yes	—
948	C₂²×C₄	C₂⁵	1	2	yes	—
949	C₂²×C₄	C₂⁵	1	2	yes	—
950	C₂²×C₄	C₂⁵	1	4	yes	—
951	C₂²×C₄	C₂⁵	1	2	yes	—
952	C₂²×C₄	C₂⁵	1	2	yes	—
953	C₂²×C₄	C₂⁵	1	4	yes	—
954	C₂²×C₄	C₂⁵	1	2	yes	—
955	C₂²×C₄	C₂⁵	1	2	yes	—
956	C₂²×C₄	C₂⁵	1	2	yes	—
957	C₂²×C₄	C₂⁵	1	1	yes	characteristic
958	C₂²×C₄	C₂⁵	1	1	yes	characteristic
959	C₄⋊C₄	—	2	4	no	—
960	C₄⋊C₄	—	2	4	no	—
961	C₄⋊C₄	—	2	4	no	—
962	C₄⋊C₄	—	2	4	no	—
963	C₄⋊C₄	—	2	4	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	4	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	8	no	—
972	C₄⋊C₄	—	2	8	no	—
973	C₄⋊C₄	—	2	8	no	—
974	C₄⋊C₄	—	2	8	no	—
975	C₄⋊C₄	—	2	8	no	—
976	C₄⋊C₄	—	4	4	no	—
977	C₄⋊C₄	—	4	4	no	—
978	C₄⋊C₄	—	4	4	no	—
979	C₄⋊C₄	—	4	8	no	—
980	C₄⋊C₄	—	4	4	no	—
981	C₄⋊C₄	—	4	4	no	—
982	C₄⋊C₄	—	4	4	no	—
983	C₄⋊C₄	—	4	4	no	—
984	C₄⋊C₄	—	4	4	no	—
985	C₄⋊C₄	—	4	4	no	—
986	C₄⋊C₄	—	4	4	no	—
987	C₂²⋊C₄	—	2	4	no	—
988	C₂²⋊C₄	—	2	16	no	—
989	C₂²⋊C₄	—	2	4	no	—
990	C₂²⋊C₄	—	2	4	no	—
991	C₂²⋊C₄	—	2	4	no	—
992	C₂²⋊C₄	—	2	4	no	—
993	C₂²⋊C₄	—	2	4	no	—
994	C₂²⋊C₄	—	2	4	no	—
995	C₂²⋊C₄	—	2	8	no	—
996	C₂²⋊C₄	—	2	8	no	—
997	C₂²⋊C₄	—	2	4	no	—
998	C₂²⋊C₄	—	2	8	no	—
999	C₂²⋊C₄	—	2	4	no	—
1000	C₂²⋊C₄	—	2	4	no	—
1001	C₂²⋊C₄	—	2	16	no	—
1002	C₂²⋊C₄	—	2	16	no	—
1003	C₂²⋊C₄	—	2	8	no	—
1004	C₂²⋊C₄	—	4	8	no	—
1005	C₂²⋊C₄	—	4	8	no	—
1006	C₂²⋊C₄	—	4	4	no	—
1007	C₂²⋊C₄	—	4	4	no	—
1008	C₂²⋊C₄	—	4	8	no	—
1009	C₂²⋊C₄	—	4	8	no	—
1010	C₂²⋊C₄	—	4	8	no	—
1011	C₂²⋊C₄	—	4	8	no	—
1012	C₂²⋊C₄	—	4	8	no	—
1013	C₂²⋊C₄	—	4	4	no	—
1014	C₂²⋊C₄	—	4	4	no	—
1015	C₂²⋊C₄	—	4	8	no	—
1016	C₂²⋊C₄	—	4	8	no	—
1017	C₂²⋊C₄	—	4	4	no	—
1018	C₂²⋊C₄	—	4	4	no	—
1019	C₂²⋊C₄	—	4	8	no	—
1020	C₂²⋊C₄	—	4	4	no	—
1021	C₂²⋊C₄	—	4	8	no	—
1022	C₂²⋊C₄	—	4	8	no	—
1023	C₂²⋊C₄	—	4	8	no	—
1024	C₂²⋊C₄	—	4	8	no	—
1025	C₂²⋊C₄	—	4	4	no	—
1026	C₂²⋊C₄	—	4	4	no	—
1027	C₂²⋊C₄	—	4	4	no	—
1028	C₂²⋊C₄	—	4	4	no	—
1029	C₂²⋊C₄	—	4	8	no	—
1030	C₂²⋊C₄	—	4	4	no	—
1031	C₂²⋊C₄	—	4	8	no	—
1032	C₂²⋊C₄	—	4	8	no	—
1033	C₂²⋊C₄	—	4	4	no	—
1034	C₂²⋊C₄	—	4	8	no	—
1035	C₂²⋊C₄	H(5,𝔽₂)	1	8	yes	—
1036	C₄²	—	2	2	no	—
1037	C₄²	—	2	4	no	—
1038	C₄²	—	2	2	no	—
1039	C₄²	—	2	4	no	—
1040	C₄²	—	2	2	no	—
1041	C₄²	—	2	2	no	—
1042	C₄²	—	2	4	no	—
1043	C₄²	—	2	4	no	—
1044	C₄²	—	2	4	no	—
1045	C₄²	—	2	4	no	—
1046	C₄²	—	2	4	no	—
1047	C₄²	—	2	4	no	—
1048	C₄²	—	2	4	no	—
1049	C₄²	—	2	8	no	—
1050	C₄²	—	4	4	no	—
1051	C₄²	—	4	8	no	—
1052	C₄²	—	4	4	no	—
1053	C₂³	—	2	2	no	—
1054	C₂³	—	2	2	no	—
1055	C₂³	—	2	8	no	—
1056	C₂³	—	2	2	no	—
1057	C₂³	—	2	2	no	—
1058	C₂³	—	2	8	no	—
1059	C₂³	—	2	2	no	—
1060	C₂³	—	2	4	no	—
1061	C₂³	—	2	4	no	—
1062	C₂³	—	2	2	no	—
1063	C₂³	—	2	2	no	—
1064	C₂³	—	2	2	no	—
1065	C₂³	—	2	8	no	—
1066	C₂³	—	2	16	no	—
1067	C₂³	—	2	2	no	—
1068	C₂³	—	2	4	no	—
1069	C₂³	—	2	4	no	—
1070	C₂³	—	2	8	no	—
1071	C₂³	—	2	4	no	—
1072	C₂³	—	2	2	no	—
1073	C₂³	—	2	4	no	—
1074	C₂³	—	2	4	no	—
1075	C₂³	—	2	8	no	—
1076	C₂³	—	2	4	no	—
1077	C₂³	—	2	2	no	—
1078	C₂³	—	2	4	no	—
1079	C₂³	—	2	8	no	—
1080	C₂³	—	2	8	no	—
1081	C₂³	—	2	4	no	—
1082	C₂³	—	4	16	no	—
1083	C₂³	—	4	8	no	—
1084	C₂³	—	4	8	no	—
1085	C₂³	—	4	32	no	—
1086	C₂³	—	4	4	no	—
1087	C₂³	—	4	32	no	—
1088	C₂³	—	4	16	no	—
1089	C₂³	—	4	4	no	—
1090	C₂³	—	4	8	no	—
1091	C₂³	—	4	8	no	—
1092	C₂³	—	8	8	no	—
1093	C₂³	—	8	4	no	—
1094	C₂³	—	8	4	no	—
1095	C₂³	—	8	4	no	—
1096	C₂³	—	8	4	no	—
1097	C₂³	—	8	8	no	—
1098	C₂³	—	8	16	no	—
1099	C₂³	—	8	16	no	—
1100	C₂³	—	8	16	no	—
1101	C₂³	—	8	8	no	—
1102	C₂³	—	8	4	no	—
1103	C₂³	—	8	8	no	—
1104	C₂³	—	8	4	no	—
1105	C₂³	—	8	16	no	—
1106	C₂³	—	8	16	no	—
1107	C₂³	—	8	128	no	—
1108	C₂³	C₂²×#41	1	8	yes	—
1109	C₂³	C₂²×#41	1	2	yes	—
1110	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1111	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1112	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1113	C₂³	C₂⁶	1	1	yes	characteristic
1114	Q₈	—	4	4	no	—
1115	Q₈	—	16	4	no	—
1116	D₄	—	2	16	no	—
1117	D₄	—	2	16	no	—
1118	D₄	—	4	32	no	—
1119	D₄	—	4	32	no	—
1120	D₄	—	4	8	no	—
1121	D₄	—	4	8	no	—
1122	D₄	—	4	8	no	—
1123	D₄	—	4	8	no	—
1124	D₄	—	4	8	no	—
1125	D₄	—	4	4	no	—
1126	D₄	—	8	16	no	—
1127	D₄	—	8	16	no	—
1128	D₄	—	8	8	no	—
1129	D₄	—	8	16	no	—
1130	D₄	—	8	16	no	—
1131	D₄	—	8	16	no	—
1132	D₄	—	16	4	no	—
1133	D₄	—	16	4	no	—
1134	D₄	—	16	4	no	—
1135	D₄	—	16	4	no	—
1136	C₂×C₄	—	2	2	no	—
1137	C₂×C₄	—	2	2	no	—
1138	C₂×C₄	—	2	2	no	—
1139	C₂×C₄	—	2	2	no	—
1140	C₂×C₄	—	2	2	no	—
1141	C₂×C₄	—	2	4	no	—
1142	C₂×C₄	—	2	2	no	—
1143	C₂×C₄	—	2	2	no	—
1144	C₂×C₄	—	2	2	no	—
1145	C₂×C₄	—	2	4	no	—
1146	C₂×C₄	—	2	4	no	—
1147	C₂×C₄	—	2	4	no	—
1148	C₂×C₄	—	2	4	no	—
1149	C₂×C₄	—	2	2	no	—
1150	C₂×C₄	—	2	2	no	—
1151	C₂×C₄	—	2	4	no	—
1152	C₂×C₄	—	2	2	no	—
1153	C₂×C₄	—	2	2	no	—
1154	C₂×C₄	—	2	2	no	—
1155	C₂×C₄	—	2	2	no	—
1156	C₂×C₄	—	2	4	no	—
1157	C₂×C₄	—	2	4	no	—
1158	C₂×C₄	—	2	2	no	—
1159	C₂×C₄	—	2	8	no	—
1160	C₂×C₄	—	2	4	no	—
1161	C₂×C₄	—	2	2	no	—
1162	C₂×C₄	—	2	2	no	—
1163	C₂×C₄	—	2	4	no	—
1164	C₂×C₄	—	2	2	no	—
1165	C₂×C₄	—	2	4	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	2	4	no	—
1168	C₂×C₄	—	2	2	no	—
1169	C₂×C₄	—	2	4	no	—
1170	C₂×C₄	—	2	4	no	—
1171	C₂×C₄	—	2	4	no	—
1172	C₂×C₄	—	2	4	no	—
1173	C₂×C₄	—	2	4	no	—
1174	C₂×C₄	—	2	4	no	—
1175	C₂×C₄	—	2	4	no	—
1176	C₂×C₄	—	2	2	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	4	8	no	—
1179	C₂×C₄	—	4	8	no	—
1180	C₂×C₄	—	4	4	no	—
1181	C₂×C₄	—	4	8	no	—
1182	C₂×C₄	—	4	8	no	—
1183	C₂×C₄	—	4	8	no	—
1184	C₂×C₄	—	8	8	no	—
1185	C₂×C₄	—	8	4	no	—
1186	C₂×C₄	—	16	4	no	—
1187	C₂×C₄	—	16	4	no	—
1188	C₂×C₄	—	16	8	no	—
1189	C₂×C₄	—	16	8	no	—
1190	C₂×C₄	#538	1	16	yes	complemented
1191	C₂×C₄	C₂²×#41	1	2	yes	—
1192	C₂×C₄	C₂²×#41	1	2	yes	—
1193	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1194	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1195	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1196	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1197	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1198	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1199	C₂²	—	2	4	no	—
1200	C₂²	—	2	2	no	—
1201	C₂²	—	2	2	no	—
1202	C₂²	—	2	4	no	—
1203	C₂²	—	2	16	no	—
1204	C₂²	—	2	4	no	—
1205	C₂²	—	2	4	no	—
1206	C₂²	—	2	4	no	—
1207	C₂²	—	2	8	no	—
1208	C₂²	—	4	16	no	—
1209	C₂²	—	4	2	no	—
1210	C₂²	—	4	4	no	—
1211	C₂²	—	4	4	no	—
1212	C₂²	—	4	2	no	—
1213	C₂²	—	4	8	no	—
1214	C₂²	—	4	2	no	—
1215	C₂²	—	4	2	no	—
1216	C₂²	—	4	8	no	—
1217	C₂²	—	4	4	no	—
1218	C₂²	—	4	8	no	—
1219	C₂²	—	4	4	no	—
1220	C₂²	—	4	2	no	—
1221	C₂²	—	4	4	no	—
1222	C₂²	—	4	2	no	—
1223	C₂²	—	4	4	no	—
1224	C₂²	—	4	4	no	—
1225	C₂²	—	4	4	no	—
1226	C₂²	—	4	8	no	—
1227	C₂²	—	4	8	no	—
1228	C₂²	—	4	2	no	—
1229	C₂²	—	4	4	no	—
1230	C₂²	—	4	4	no	—
1231	C₂²	—	8	16	no	—
1232	C₂²	—	8	16	no	—
1233	C₂²	—	8	64	no	—
1234	C₂²	—	16	8	no	—
1235	C₂²	C₂×#538	1	4	yes	—
1236	C₂²	C₂³×#41	1	1	yes	characteristic
1237	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1238	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1239	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1240	C₂²	H(7,𝔽₂)	1	2	yes	—
1241	C₄	—	2	4	no	—
1242	C₄	—	2	4	no	—
1243	C₄	—	4	2	no	—
1244	C₄	—	4	4	no	—
1245	C₄	—	4	4	no	—
1246	C₄	—	4	2	no	—
1247	C₄	—	4	2	no	—
1248	C₄	—	4	2	no	—
1249	C₄	—	4	2	no	—
1250	C₄	—	4	2	no	—
1251	C₄	—	4	2	no	—
1252	C₄	—	4	2	no	—
1253	C₄	—	4	4	no	—
1254	C₄	—	4	4	no	—
1255	C₄	—	4	4	no	—
1256	C₄	—	4	2	no	—
1257	C₄	—	4	2	no	—
1258	C₄	C₂×#538	1	4	yes	—
1259	C₄	C₂×#538	1	4	yes	—
1260	C₂	—	2	4	no	—
1261	C₂	—	4	4	no	—
1262	C₂	—	4	8	no	—
1263	C₂	—	8	2	no	—
1264	C₂	—	8	4	no	—
1265	C₂	—	8	4	no	—
1266	C₂	C₂²×#538	1	1	yes	characteristic
1267	C₂	#62832	1	1	yes	characteristic
1268	C₂	#62876	1	1	yes	characteristic
1269	C₂	#62912	1	2	yes	—
1270	C₂	#62983	1	2	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. #42616	C₂	semidirect
2. #42589	C₂	semidirect
3. #42575	C₂	semidirect
4. #42532	C₂	semidirect
5. #40536	C₂	semidirect
6. #40176	C₂	semidirect
7. #40053	C₂	semidirect
8. #39405	C₂	semidirect
9. #39401	C₂	semidirect
10. #37660	C₂	semidirect
11. #35584	C₂	semidirect
12. #35558	C₂	semidirect
13. #35554	C₂	semidirect
14. #35529	C₂	semidirect
15. #35528	C₂	semidirect
16. #35514	C₂	semidirect
17. #35272	C₂	semidirect
18. #35264	C₂	semidirect
19. #35222	C₂	semidirect
20. #34814	C₂	semidirect
21. #34742	C₂	semidirect
22. C₂×#2433	C₂	semidirect
23. #34269	C₂	semidirect
24. #34210	C₂	semidirect
25. #34171	C₂	semidirect
27. C₂×#544	C₂²	semidirect
28. C₂×#538	C₂²	semidirect
31. C₂×#535	C₂²	semidirect
39. C₂×#518	C₂²	semidirect
40. C₂×C₄×#41	C₂²	semidirect
41. #2861	C₂²	semidirect
42. #2858	C₂²	semidirect
43. #2856	C₂²	semidirect
44. #2856	C₂²	semidirect
46. #2825	C₂²	semidirect
47. #2824	C₂²	semidirect
48. #2797	C₂²	semidirect
49. #2778	C₂²	semidirect
50. #2756	C₂²	semidirect
51. #2714	C₂²	semidirect
52. #2703	C₂²	semidirect
53. #2697	C₂²	semidirect
54. #2696	C₂²	semidirect
55. #2688	C₂²	semidirect
56. #2685	C₂²	semidirect
57. #2685	C₂²	semidirect
58. #2684	C₂²	semidirect
59. #2678	C₂²	semidirect
60. #2678	C₂²	semidirect
61. #2676	C₂²	semidirect
62. #2670	C₂²	semidirect
63. #2668	C₂²	semidirect
64. #2648	C₂²	semidirect
65. #2641	C₂²	semidirect
66. #2640	C₂²	semidirect
67. #2635	C₂²	semidirect
68. #2631	C₂²	semidirect
69. #2630	C₂²	semidirect
70. #2622	C₂²	semidirect
71. #2619	C₂²	semidirect
72. #2619	C₂²	semidirect
73. #2617	C₂²	semidirect
75. #2566	C₂²	semidirect
76. #2566	C₂²	semidirect
77. #2563	C₂²	semidirect
78. #2561	C₂²	semidirect
79. #2548	C₂²	semidirect
80. #2544	C₂²	semidirect
81. #2544	C₂²	semidirect
82. #2542	C₂²	semidirect
83. #2541	C₂²	semidirect
84. #2541	C₂²	semidirect
85. #2541	C₂²	semidirect
86. #2537	C₂²	semidirect
87. #2535	C₂²	semidirect
88. #2513	C₂²	semidirect
89. #2513	C₂²	semidirect
90. #2512	C₂²	semidirect
91. #2512	C₂²	semidirect
92. #2497	C₂²	semidirect
93. #2496	C₂²	semidirect
94. #2495	C₂²	semidirect
95. #2494	C₂²	semidirect
96. #2493	C₂²	semidirect
97. #2491	C₂²	semidirect
98. #2491	C₂²	semidirect
99. #2491	C₂²	semidirect
100. #2490	C₂²	semidirect
101. #2490	C₂²	semidirect
102. #2490	C₂²	semidirect
104. #2480	C₂²	semidirect
105. #2472	C₂²	semidirect
106. #2472	C₂²	semidirect
107. #2467	C₂²	semidirect
108. #2456	C₂²	semidirect
109. #2454	C₂²	semidirect
110. #2452	C₂²	semidirect
111. #2445	C₂²	semidirect
112. #2445	C₂²	semidirect
113. #2445	C₂²	semidirect
114. #2445	C₂²	semidirect
115. #2437	C₂²	semidirect
117. #2435	C₂²	semidirect
122. #2433	C₂²	semidirect
123. #2428	C₂²	semidirect
124. #2428	C₂²	semidirect
125. #2428	C₂²	semidirect
126. #2427	C₂²	semidirect
127. #2424	C₂²	semidirect
128. #2424	C₂²	semidirect
129. #2423	C₂²	semidirect
130. #2422	C₂²	semidirect
131. #2421	C₂²	semidirect
132. #2420	C₂²	semidirect
133. #2419	C₂²	semidirect
135. #2418	C₂²	semidirect
136. #2412	C₂²	semidirect
138. #2410	C₂²	semidirect
139. #2408	C₂²	semidirect
140. #2408	C₂²	semidirect
141. #2408	C₂²	semidirect
142. #2405	C₂²	semidirect
143. #2401	C₂²	semidirect
144. #2395	C₂²	semidirect
146. #2367	C₂²	semidirect
147. #2366	C₂²	semidirect
148. #2366	C₂²	semidirect
149. #2366	C₂²	semidirect
150. #2358	C₂²	semidirect
151. D₄×C₂²⋊C₄	C₂²	semidirect
152. D₄×C₂²⋊C₄	C₂²	semidirect
153. D₄×C₂²⋊C₄	C₂²	semidirect
154. D₄×C₂²⋊C₄	C₂²	semidirect
155. D₄×C₂²⋊C₄	C₂²	semidirect
156. #2328	C₂²	semidirect
157. #2324	C₂²	semidirect
158. #2321	C₂²	semidirect
159. #2317	C₂²	semidirect
160. #2311	C₂²	semidirect
165. #2309	C₂²	semidirect
166. #2309	C₂²	semidirect
168. C₄×#127	C₂²	semidirect
169. C₄×#126	C₂²	semidirect
170. C₄×#123	C₂²	semidirect
171. C₄×#121	C₂²	semidirect
172. #2297	C₂²	semidirect
173. #2296	C₂²	semidirect
174. #2296	C₂²	semidirect
175. #2296	C₂²	semidirect
178. #2285	C₂²	semidirect
179. #2285	C₂²	semidirect
184. #2274	C₂²	semidirect
185. C₄×#117	C₂²	semidirect
207. C₂×C₄⋊Q₈	C₂³	semidirect
208. C₂×C₄⋊Q₈	C₂³	semidirect
219. C₂×#127	C₂³	semidirect
221. C₂×#126	C₂³	semidirect
222. C₂×#125	C₂³	semidirect
223. C₂×#125	C₂³	semidirect
227. C₂×#124	C₂³	semidirect
228. C₂×#124	C₂³	semidirect
232. C₂×#123	C₂³	semidirect
233. C₂×#123	C₂³	semidirect
236. C₂×C₂²⋊Q₈	C₂³	semidirect
245. C₂×#121	C₂³	semidirect
246. C₂×#121	C₂³	semidirect
247. C₂×#121	C₂³	semidirect
248. C₂×#121	C₂³	semidirect
249. C₂×#121	C₂³	semidirect
250. C₂×#121	C₂³	semidirect
266. C₂×C₄×Q₈	C₂³	semidirect
275. C₂×C₄×D₄	C₂³	semidirect
276. C₂×C₄×D₄	C₂³	semidirect
277. C₂×C₄×D₄	C₂³	semidirect
278. C₂×C₄×D₄	C₂³	semidirect
279. C₂×C₄×D₄	C₂³	semidirect
280. C₂×C₄×D₄	C₂³	semidirect
288. C₂×#117	C₂³	semidirect
301. C₂²×C₄²	C₂³	semidirect
302. #401	C₂³	semidirect
303. #400	C₂³	semidirect
304. #400	C₂³	semidirect
305. #400	C₂³	semidirect
306. #400	C₂³	semidirect
308. #399	C₂³	semidirect
309. #398	C₂³	semidirect
314. #397	C₂³	semidirect
315. #397	C₂³	semidirect
316. #397	C₂³	semidirect
317. #397	C₂³	semidirect
318. #397	C₂³	semidirect
319. #397	C₂³	semidirect
320. #397	C₂³	semidirect
321. #397	C₂³	semidirect
323. #396	C₂³	semidirect
324. #396	C₂³	semidirect
325. #396	C₂³	semidirect
333. #394	C₂³	semidirect
334. #394	C₂³	semidirect
335. #394	C₂³	semidirect
336. #394	C₂³	semidirect
337. #394	C₂³	semidirect
338. #394	C₂³	semidirect
339. #394	C₂³	semidirect
340. #394	C₂³	semidirect
341. #394	C₂³	semidirect
342. #394	C₂³	semidirect
343. #394	C₂³	semidirect
344. #393	C₂³	semidirect
345. #393	C₂³	semidirect
346. #393	C₂³	semidirect
354. #392	C₂³	semidirect
355. #392	C₂³	semidirect
356. #392	C₂³	semidirect
357. #392	C₂³	semidirect
358. #391	C₂³	semidirect
359. #391	C₂³	semidirect
360. #391	C₂³	semidirect
379. #390	C₂³	semidirect
380. #390	C₂³	semidirect
381. #390	C₂³	semidirect
382. #390	C₂³	semidirect
383. #390	C₂³	semidirect
384. #390	C₂³	semidirect
385. #390	C₂³	semidirect
386. #390	C₂³	semidirect
387. #390	C₂³	semidirect
388. #390	C₂³	semidirect
389. #390	C₂³	semidirect
390. #390	C₂³	semidirect
391. #390	C₂³	semidirect
392. #390	C₂³	semidirect
393. #390	C₂³	semidirect
394. #389	C₂³	semidirect
395. #389	C₂³	semidirect
396. #389	C₂³	semidirect
397. #389	C₂³	semidirect
398. #389	C₂³	semidirect
399. #389	C₂³	semidirect
400. #389	C₂³	semidirect
406. #388	C₂³	semidirect
407. #388	C₂³	semidirect
408. #388	C₂³	semidirect
409. #388	C₂³	semidirect
410. #388	C₂³	semidirect
411. #388	C₂³	semidirect
412. #388	C₂³	semidirect
413. #388	C₂³	semidirect
414. #388	C₂³	semidirect
415. #387	C₂³	semidirect
416. #387	C₂³	semidirect
417. #387	C₂³	semidirect
418. #387	C₂³	semidirect
419. #387	C₂³	semidirect
428. #386	C₂³	semidirect
429. #386	C₂³	semidirect
430. #386	C₂³	semidirect
431. #386	C₂³	semidirect
432. #386	C₂³	semidirect
433. #386	C₂³	semidirect
434. #386	C₂³	semidirect
435. #386	C₂³	semidirect
436. #386	C₂³	semidirect
437. #386	C₂³	semidirect
438. #386	C₂³	semidirect
443. #385	C₂³	semidirect
444. #385	C₂³	semidirect
445. #385	C₂³	semidirect
446. #385	C₂³	semidirect
447. #384	C₂³	semidirect
448. #384	C₂³	semidirect
449. #384	C₂³	semidirect
450. #384	C₂³	semidirect
451. #383	C₂³	semidirect
452. #382	C₂³	semidirect
453. #382	C₂³	semidirect
454. #382	C₂³	semidirect
455. #382	C₂³	semidirect
459. #381	C₂³	semidirect
468. #380	C₂³	semidirect
469. #380	C₂³	semidirect
470. #380	C₂³	semidirect
484. C₄×C₄⋊C₄	C₂³	semidirect
485. C₄×C₄⋊C₄	C₂³	semidirect
486. C₄×C₄⋊C₄	C₂³	semidirect
487. C₄×C₄⋊C₄	C₂³	semidirect
488. C₄×C₄⋊C₄	C₂³	semidirect
489. C₄×C₄⋊C₄	C₂³	semidirect
490. C₄×C₄⋊C₄	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
504. C₄×C₂²⋊C₄	C₂³	semidirect
505. C₄×C₂²⋊C₄	C₂³	semidirect
506. #376	C₂³	semidirect
508. C₄³	C₂³	semidirect
1190. C₂×C₄	#538	semidirect

Maximal subgroups

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

subgroup	index
#42616	2
#42589	2
#42575	2
#42532	2
#40536	2
#40176	2
#40053	2
#39405	2
#39401	2
#37660	2
#35584	2
#35558	2
#35554	2
#35529	2
#35528	2
#35514	2
#35272	2
#35264	2
#35222	2
#34814	2
#34742	2
C₂×#2433	2
#34269	2
#34210	2
#34171	2