Subgroups — #8094748

Order 512.

7080 conjugacy classes of subgroups.

The subgroup lattice has 1328 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#53102	C₂	1	4	yes	maximal, complemented
2	#53000	C₂	1	4	yes	maximal, complemented
3	#53000	C₂	1	4	yes	maximal, complemented
4	#52971	C₂	1	4	yes	maximal, complemented
5	#52308	C₂	1	8	yes	maximal, complemented
6	#46061	C₂	1	4	yes	maximal, complemented
7	#45992	C₂	1	4	yes	maximal, complemented
8	#45655	C₂	1	4	yes	maximal, complemented
9	#45483	C₂	1	4	yes	maximal, complemented
10	#45438	C₂	1	8	yes	maximal, complemented
11	#35563	C₂	1	1	yes	maximal, characteristic, complemented
12	#35554	C₂	1	1	yes	maximal, characteristic, complemented
13	#35533	C₂	1	1	yes	maximal, characteristic, complemented
14	#35531	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	#35274	C₂	1	1	yes	maximal, characteristic, complemented
18	#35272	C₂	1	1	yes	maximal, characteristic, complemented
19	#35266	C₂	1	1	yes	maximal, characteristic, complemented
20	#35254	C₂	1	1	yes	maximal, characteristic, complemented
21	#35222	C₂	1	1	yes	maximal, characteristic, complemented
22	#35222	C₂	1	1	yes	maximal, characteristic, complemented
23	#34814	C₂	1	1	yes	maximal, characteristic, complemented
24	#34743	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#2433	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂⁴×D₄	C₂²	1	1	yes	characteristic
27	C₂×#560	C₂²	1	8	yes	complemented
28	C₂×#535	C₂²	1	1	yes	characteristic
29	C₂×#535	C₂²	1	1	yes	characteristic
30	C₂×#535	C₂²	1	1	yes	characteristic
31	C₂×#535	C₂²	1	1	yes	characteristic
32	C₂×#535	C₂²	1	1	yes	characteristic, complemented
33	C₂×#535	C₂²	1	1	yes	characteristic, complemented
34	C₂×#532	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#127	C₂²	1	1	yes	characteristic
36	C₂²×#127	C₂²	1	1	yes	characteristic
37	C₂×#525	C₂²	1	1	yes	characteristic
38	C₂×#525	C₂²	1	1	yes	characteristic
39	C₂²×#121	C₂²	1	1	yes	characteristic
40	C₂²×#120	C₂²	1	4	yes	—
41	C₂×#520	C₂²	1	1	yes	characteristic, complemented
42	C₂×#518	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₄×#41	C₂²	1	1	yes	characteristic, complemented
44	#2867	C₂²	1	2	yes	complemented
45	#2860	C₂²	1	4	yes	complemented
46	#2858	C₂²	1	2	yes	complemented
47	#2856	C₂²	1	2	yes	complemented
48	#2856	C₂²	1	2	yes	complemented
49	#2854	C₂²	1	4	yes	complemented
50	#2846	C₂²	1	4	yes	—
51	#2846	C₂²	1	4	yes	—
52	#2829	C₂²	1	8	yes	complemented
53	#2828	C₂²	1	8	yes	complemented
54	#2828	C₂²	1	8	yes	complemented
55	#2825	C₂²	1	8	yes	complemented
56	#2825	C₂²	1	8	yes	complemented
57	#2818	C₂²	1	8	yes	complemented
58	#2813	C₂²	1	8	yes	complemented
59	#2813	C₂²	1	8	yes	complemented
60	#2812	C₂²	1	8	yes	complemented
61	#2812	C₂²	1	8	yes	complemented
62	#2803	C₂²	1	8	yes	complemented
63	#2756	C₂²	1	8	yes	complemented
64	#2705	C₂²	1	8	yes	complemented
65	#2703	C₂²	1	8	yes	complemented
66	#2703	C₂²	1	8	yes	complemented
67	#2697	C₂²	1	8	yes	complemented
68	#2685	C₂²	1	8	yes	complemented
69	#2685	C₂²	1	8	yes	complemented
70	#2678	C₂²	1	8	yes	complemented
71	#2678	C₂²	1	8	yes	complemented
72	#2678	C₂²	1	8	yes	complemented
73	#2678	C₂²	1	8	yes	complemented
74	#2673	C₂²	1	8	yes	complemented
75	#2673	C₂²	1	8	yes	complemented
76	#2673	C₂²	1	8	yes	complemented
77	#2669	C₂²	1	8	yes	complemented
78	#2669	C₂²	1	8	yes	complemented
79	#2669	C₂²	1	8	yes	complemented
80	#2668	C₂²	1	8	yes	complemented
81	#2668	C₂²	1	8	yes	complemented
82	#2657	C₂²	1	2	yes	complemented
83	#2657	C₂²	1	2	yes	complemented
84	#2644	C₂²	1	4	yes	complemented
85	#2624	C₂²	1	4	yes	complemented
86	#2619	C₂²	1	2	yes	complemented
87	#2619	C₂²	1	2	yes	complemented
88	#2613	C₂²	1	4	yes	—
89	#2613	C₂²	1	4	yes	—
90	#2548	C₂²	1	2	yes	complemented
91	#2548	C₂²	1	4	yes	complemented
92	#2545	C₂²	1	2	yes	complemented
93	#2544	C₂²	1	2	yes	complemented
94	#2544	C₂²	1	4	yes	complemented
95	#2541	C₂²	1	4	yes	complemented
96	#2541	C₂²	1	4	yes	complemented
97	#2541	C₂²	1	4	yes	complemented
98	#2541	C₂²	1	4	yes	complemented
99	#2541	C₂²	1	2	yes	complemented
100	#2537	C₂²	1	4	yes	complemented
101	#2535	C₂²	1	4	yes	complemented
102	#2534	C₂²	1	4	yes	complemented
103	#2513	C₂²	1	4	yes	complemented
104	#2512	C₂²	1	4	yes	complemented
105	#2504	C₂²	1	2	yes	complemented
106	#2501	C₂²	1	2	yes	complemented
107	#2500	C₂²	1	2	yes	complemented
108	#2500	C₂²	1	2	yes	complemented
109	#2497	C₂²	1	2	yes	complemented
110	#2496	C₂²	1	2	yes	complemented
111	#2495	C₂²	1	2	yes	complemented
112	#2494	C₂²	1	2	yes	complemented
113	#2493	C₂²	1	4	yes	complemented
114	#2480	C₂²	1	4	yes	—
115	#2480	C₂²	1	8	yes	complemented
116	#2448	C₂²	1	4	yes	complemented
117	#2448	C₂²	1	4	yes	complemented
118	#2445	C₂²	1	4	yes	complemented
119	#2445	C₂²	1	4	yes	complemented
120	#2445	C₂²	1	4	yes	complemented
121	#2445	C₂²	1	4	yes	complemented
122	#2445	C₂²	1	4	yes	complemented
123	#2445	C₂²	1	4	yes	complemented
124	#2435	C₂²	1	4	yes	complemented
125	#2435	C₂²	1	4	yes	complemented
126	#2433	C₂²	1	4	yes	—
127	#2433	C₂²	1	4	yes	—
128	#2433	C₂²	1	4	yes	—
129	#2433	C₂²	1	4	yes	—
130	#2433	C₂²	1	4	yes	complemented
131	#2433	C₂²	1	4	yes	complemented
132	#2433	C₂²	1	8	yes	complemented
133	#2429	C₂²	1	2	yes	complemented
134	#2428	C₂²	1	4	yes	complemented
135	#2428	C₂²	1	4	yes	complemented
136	#2428	C₂²	1	2	yes	complemented
137	#2428	C₂²	1	4	yes	complemented
138	#2428	C₂²	1	4	yes	complemented
139	#2427	C₂²	1	2	yes	complemented
140	#2427	C₂²	1	4	yes	complemented
141	#2426	C₂²	1	2	yes	complemented
142	#2426	C₂²	1	4	yes	complemented
143	#2425	C₂²	1	4	yes	complemented
144	#2424	C₂²	1	4	yes	—
145	#2424	C₂²	1	8	yes	complemented
146	#2418	C₂²	1	8	yes	complemented
147	#2418	C₂²	1	8	yes	complemented
148	#2416	C₂²	1	4	yes	complemented
149	#2416	C₂²	1	4	yes	complemented
150	#2414	C₂²	1	4	yes	complemented
151	#2414	C₂²	1	4	yes	complemented
152	#2412	C₂²	1	4	yes	complemented
153	#2410	C₂²	1	4	yes	—
154	#2410	C₂²	1	8	yes	complemented
155	#2408	C₂²	1	4	yes	—
156	#2408	C₂²	1	4	yes	complemented
157	#2408	C₂²	1	4	yes	complemented
158	#2408	C₂²	1	4	yes	complemented
159	#2408	C₂²	1	4	yes	complemented
160	#2408	C₂²	1	8	yes	complemented
161	#2405	C₂²	1	8	yes	complemented
162	#2401	C₂²	1	4	yes	complemented
163	#2392	C₂²	1	4	yes	complemented
164	C₂×#392	C₂²	1	4	yes	—
165	#2375	C₂²	1	8	yes	complemented
166	#2317	C₂²	1	1	yes	characteristic, complemented
167	#2316	C₂²	1	1	yes	characteristic, complemented
168	#2311	C₂²	1	1	yes	characteristic, complemented
169	#2309	C₂²	1	1	yes	characteristic
170	#2309	C₂²	1	1	yes	characteristic
171	#2309	C₂²	1	1	yes	characteristic
172	#2309	C₂²	1	1	yes	characteristic
173	#2309	C₂²	1	1	yes	characteristic, complemented
174	C₄×#126	C₂²	1	4	yes	complemented
175	C₄×#121	C₂²	1	4	yes	complemented
176	#2297	C₂²	1	1	yes	characteristic, complemented
177	#2296	C₂²	1	1	yes	characteristic, complemented
178	#2296	C₂²	1	1	yes	characteristic, complemented
179	#2296	C₂²	1	1	yes	characteristic, complemented
180	C₂×#390	C₂²	1	1	yes	characteristic
181	C₂×#390	C₂²	1	1	yes	characteristic
182	#2285	C₂²	1	1	yes	characteristic, complemented
183	#2280	C₂²	1	1	yes	characteristic
184	#2280	C₂²	1	1	yes	characteristic
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	C₂²×#41	C₂³	1	1	yes	characteristic
190	C₂³×D₄	—	4	4	no	—
191	C₂³×D₄	—	4	4	no	—
192	C₂³×D₄	—	4	4	no	—
193	C₂³×D₄	C₂³	1	1	yes	characteristic
194	C₂³×D₄	C₂³	1	1	yes	characteristic
195	C₂³×D₄	C₂³	1	1	yes	characteristic
196	C₂³×D₄	C₂³	1	2	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	C₂³×D₄	C₂³	1	4	yes	—
202	C₂⁴×C₄	C₂³	1	1	yes	characteristic
203	#560	—	4	32	no	—
204	#535	—	4	4	no	—
205	#535	—	4	4	no	—
206	#535	—	4	4	no	—
207	#535	—	4	4	no	—
208	#535	—	4	4	no	—
209	#535	—	4	4	no	—
210	#532	—	4	4	no	—
211	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
212	C₂×#127	—	4	4	no	—
213	C₂×#127	—	4	4	no	—
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	2	yes	—
219	C₂×#127	C₂³	1	2	yes	—
220	C₂×#127	C₂³	1	4	yes	—
221	C₂×#127	C₂³	1	4	yes	—
222	C₂×#127	C₂³	1	2	yes	—
223	C₂×#127	C₂³	1	2	yes	—
224	C₂×#127	C₂³	1	8	yes	complemented
225	C₂×#127	C₂³	1	1	yes	characteristic, complemented
226	C₂×#127	C₂³	1	2	yes	complemented
227	C₂×#127	C₂³	1	2	yes	complemented
228	C₂×#127	C₂³	1	8	yes	complemented
229	C₂×#126	C₂³	1	4	yes	—
230	C₂×#126	C₂³	1	8	yes	complemented
231	C₂×#124	C₂³	1	2	yes	—
232	C₂×#124	C₂³	1	2	yes	—
233	C₂×#124	C₂³	1	2	yes	—
234	C₂×#124	C₂³	1	2	yes	—
235	C₂×#124	C₂³	1	2	yes	complemented
236	C₂×#124	C₂³	1	2	yes	complemented
237	C₂×#124	C₂³	1	1	yes	characteristic, complemented
238	C₂×#124	C₂³	1	1	yes	characteristic, complemented
239	#525	—	4	4	no	—
240	#525	—	4	4	no	—
241	C₂×#123	C₂³	1	2	yes	—
242	C₂×#123	C₂³	1	2	yes	—
243	C₂×#123	C₂³	1	8	yes	complemented
244	C₂×#123	C₂³	1	8	yes	complemented
245	C₂×#123	C₂³	1	8	yes	complemented
246	C₂×#123	C₂³	1	8	yes	complemented
247	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
248	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
249	C₂×#121	—	4	4	no	—
250	C₂×#121	C₂³	1	4	yes	—
251	C₂×#121	C₂³	1	4	yes	—
252	C₂×#121	C₂³	1	2	yes	—
253	C₂×#121	C₂³	1	2	yes	—
254	C₂×#121	C₂³	1	8	yes	—
255	C₂×#121	C₂³	1	4	yes	—
256	C₂×#121	C₂³	1	2	yes	—
257	C₂×#121	C₂³	1	2	yes	—
258	C₂×#121	C₂³	1	4	yes	—
259	C₂×#121	C₂³	1	4	yes	—
260	C₂×#121	C₂³	1	8	yes	—
261	C₂×#121	C₂³	1	2	yes	—
262	C₂×#121	C₂³	1	2	yes	—
263	C₂×#121	C₂³	1	4	yes	—
264	C₂×#121	C₂³	1	2	yes	complemented
265	C₂×#121	C₂³	1	2	yes	complemented
266	C₂×#121	C₂³	1	8	yes	complemented
267	C₂×#121	C₂³	1	8	yes	complemented
268	C₂×#121	C₂³	1	8	yes	complemented
269	C₂×#121	C₂³	1	4	yes	complemented
270	C₂×#121	C₂³	1	8	yes	complemented
271	C₂×#121	C₂³	1	8	yes	complemented
272	C₂×#120	—	4	16	no	—
273	C₂×#120	C₂³	1	8	yes	—
274	C₂×#120	C₂³	1	2	yes	—
275	C₂×#120	C₂³	1	2	yes	—
276	C₂×#120	C₂³	1	4	yes	—
277	C₂×#120	C₂³	1	4	yes	—
278	C₂×#120	C₂³	1	4	yes	—
279	C₂×#120	C₂³	1	4	yes	—
280	C₂×#120	C₂³	1	8	yes	—
281	C₂×#120	C₂³	1	8	yes	—
282	C₂×#120	C₂³	1	8	yes	—
283	C₂×#120	C₂³	1	8	yes	—
284	C₂×#120	C₂³	1	8	yes	—
285	C₂×#120	C₂³	1	4	yes	—
286	C₂×#120	C₂³	1	4	yes	—
287	C₂×#120	C₂³	1	8	yes	—
288	C₂×#120	C₂³	1	8	yes	—
289	#520	—	4	4	no	—
290	#518	—	4	4	no	—
291	C₄×#41	—	4	4	no	—
292	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
293	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
294	C₂×C₄×D₄	C₂³	1	4	yes	—
295	C₂×C₄×D₄	C₂³	1	4	yes	—
296	C₂×C₄×D₄	C₂³	1	4	yes	—
297	C₂×C₄×D₄	C₂³	1	4	yes	—
298	C₂×C₄×D₄	C₂³	1	4	yes	complemented
299	C₂×C₄×D₄	C₂³	1	2	yes	complemented
300	C₂×C₄×D₄	C₂³	1	4	yes	complemented
301	C₂×C₄×D₄	C₂³	1	4	yes	complemented
302	C₂×C₄×D₄	C₂³	1	2	yes	complemented
303	C₂×#117	C₂³	1	1	yes	characteristic
304	C₂×#117	C₂³	1	1	yes	characteristic
305	C₂×#117	C₂³	1	1	yes	characteristic
306	C₂×#117	C₂³	1	1	yes	characteristic
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	2	yes	complemented
311	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
312	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
313	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
314	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
315	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
316	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
317	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
318	C₂²×C₄²	C₂³	1	1	yes	characteristic
319	C₂²×C₄²	C₂³	1	1	yes	characteristic
320	C₂²×C₄²	C₂³	1	2	yes	complemented
321	#401	C₂³	1	4	yes	complemented
322	#400	C₂³	1	4	yes	complemented
323	#400	C₂³	1	4	yes	complemented
324	#400	C₂³	1	4	yes	complemented
325	#399	C₂³	1	8	yes	complemented
326	#399	C₂³	1	8	yes	complemented
327	#398	C₂³	1	4	yes	complemented
328	#397	C₂³	1	4	yes	—
329	#397	C₂³	1	4	yes	—
330	#397	C₂³	1	4	yes	—
331	#397	C₂³	1	4	yes	complemented
332	#397	C₂³	1	8	yes	complemented
333	#397	C₂³	1	8	yes	complemented
334	#397	C₂³	1	8	yes	complemented
335	#397	C₂³	1	8	yes	complemented
336	#397	C₂³	1	8	yes	complemented
337	#397	C₂³	1	8	yes	complemented
338	#396	C₂³	1	4	yes	—
339	#396	C₂³	1	4	yes	—
340	#396	C₂³	1	4	yes	complemented
341	#396	C₂³	1	8	yes	complemented
342	#396	C₂³	1	8	yes	complemented
343	#396	C₂³	1	8	yes	complemented
344	#394	C₂³	1	8	yes	—
345	#394	C₂³	1	8	yes	—
346	#394	C₂³	1	8	yes	—
347	#394	C₂³	1	8	yes	—
348	#394	C₂³	1	4	yes	—
349	#394	C₂³	1	4	yes	—
350	#394	C₂³	1	8	yes	—
351	#394	C₂³	1	8	yes	—
352	#394	C₂³	1	4	yes	complemented
353	#394	C₂³	1	8	yes	complemented
354	#394	C₂³	1	8	yes	complemented
355	#394	C₂³	1	8	yes	complemented
356	#394	C₂³	1	8	yes	complemented
357	#394	C₂³	1	8	yes	complemented
358	#394	C₂³	1	8	yes	complemented
359	#394	C₂³	1	8	yes	complemented
360	#394	C₂³	1	8	yes	complemented
361	#394	C₂³	1	8	yes	complemented
362	#394	C₂³	1	8	yes	complemented
363	#394	C₂³	1	8	yes	complemented
364	#394	C₂³	1	8	yes	complemented
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	#392	C₂³	1	8	yes	—
370	#392	C₂³	1	8	yes	—
371	#392	C₂³	1	8	yes	—
372	#392	C₂³	1	8	yes	—
373	#392	C₂³	1	8	yes	—
374	#392	C₂³	1	8	yes	—
375	#392	C₂³	1	8	yes	—
376	#392	C₂³	1	8	yes	—
377	#392	C₂³	1	4	yes	—
378	#392	C₂³	1	8	yes	—
379	#392	C₂³	1	8	yes	—
380	#392	C₂³	1	8	yes	complemented
381	#392	C₂³	1	8	yes	complemented
382	#392	C₂³	1	8	yes	complemented
383	#392	C₂³	1	8	yes	complemented
384	#392	C₂³	1	8	yes	complemented
385	#392	C₂³	1	8	yes	complemented
386	#392	C₂³	1	8	yes	complemented
387	#392	C₂³	1	8	yes	complemented
388	#392	C₂³	1	8	yes	complemented
389	#391	C₂³	1	2	yes	complemented
390	#391	C₂³	1	2	yes	complemented
391	#390	C₂³	1	4	yes	—
392	#390	C₂³	1	2	yes	—
393	#390	C₂³	1	2	yes	—
394	#390	C₂³	1	4	yes	—
395	#390	C₂³	1	4	yes	—
396	#390	C₂³	1	4	yes	—
397	#390	C₂³	1	2	yes	—
398	#390	C₂³	1	2	yes	—
399	#390	C₂³	1	4	yes	—
400	#390	C₂³	1	4	yes	—
401	#390	C₂³	1	2	yes	—
402	#390	C₂³	1	2	yes	—
403	#390	C₂³	1	2	yes	—
404	#390	C₂³	1	8	yes	—
405	#390	C₂³	1	2	yes	—
406	#390	C₂³	1	4	yes	—
407	#390	C₂³	1	4	yes	—
408	#390	C₂³	1	4	yes	—
409	#390	C₂³	1	2	yes	complemented
410	#390	C₂³	1	2	yes	complemented
411	#390	C₂³	1	4	yes	complemented
412	#390	C₂³	1	2	yes	complemented
413	#390	C₂³	1	8	yes	complemented
414	#390	C₂³	1	8	yes	complemented
415	#390	C₂³	1	8	yes	complemented
416	#390	C₂³	1	8	yes	complemented
417	#390	C₂³	1	8	yes	complemented
418	#390	C₂³	1	2	yes	complemented
419	#389	C₂³	1	4	yes	complemented
420	#389	C₂³	1	4	yes	complemented
421	#389	C₂³	1	4	yes	complemented
422	#389	C₂³	1	2	yes	complemented
423	#389	C₂³	1	2	yes	complemented
424	#389	C₂³	1	2	yes	complemented
425	#389	C₂³	1	2	yes	complemented
426	#389	C₂³	1	2	yes	complemented
427	#389	C₂³	1	2	yes	complemented
428	#389	C₂³	1	4	yes	complemented
429	#388	C₂³	1	4	yes	—
430	#388	C₂³	1	4	yes	—
431	#388	C₂³	1	4	yes	—
432	#388	C₂³	1	4	yes	—
433	#388	C₂³	1	4	yes	complemented
434	#388	C₂³	1	8	yes	complemented
435	#388	C₂³	1	8	yes	complemented
436	#388	C₂³	1	8	yes	complemented
437	#388	C₂³	1	8	yes	complemented
438	#388	C₂³	1	8	yes	complemented
439	#388	C₂³	1	8	yes	complemented
440	#388	C₂³	1	8	yes	complemented
441	#388	C₂³	1	8	yes	complemented
442	#388	C₂³	1	8	yes	complemented
443	#387	C₂³	1	4	yes	complemented
444	#387	C₂³	1	4	yes	complemented
445	#387	C₂³	1	4	yes	complemented
446	#386	C₂³	1	4	yes	—
447	#386	C₂³	1	8	yes	—
448	#386	C₂³	1	4	yes	—
449	#386	C₂³	1	4	yes	—
450	#386	C₂³	1	8	yes	complemented
451	#386	C₂³	1	8	yes	complemented
452	#386	C₂³	1	8	yes	complemented
453	#386	C₂³	1	8	yes	complemented
454	#386	C₂³	1	8	yes	complemented
455	#386	C₂³	1	8	yes	complemented
456	#386	C₂³	1	8	yes	complemented
457	#386	C₂³	1	8	yes	complemented
458	#386	C₂³	1	8	yes	complemented
459	#386	C₂³	1	4	yes	complemented
460	#385	C₂³	1	4	yes	—
461	#385	C₂³	1	4	yes	—
462	#385	C₂³	1	4	yes	—
463	#385	C₂³	1	4	yes	—
464	#384	C₂³	1	2	yes	complemented
465	#384	C₂³	1	1	yes	characteristic, complemented
466	#384	C₂³	1	1	yes	characteristic, complemented
467	#383	C₂³	1	4	yes	complemented
468	#382	C₂³	1	2	yes	complemented
469	#382	C₂³	1	1	yes	characteristic, complemented
470	#382	C₂³	1	1	yes	characteristic, complemented
471	#381	C₂³	1	2	yes	—
472	#381	C₂³	1	2	yes	—
473	#380	C₂³	1	4	yes	—
474	#380	C₂³	1	2	yes	—
475	#380	C₂³	1	2	yes	—
476	#380	C₂³	1	4	yes	—
477	#380	C₂³	1	2	yes	—
478	#380	C₂³	1	2	yes	—
479	#380	C₂³	1	4	yes	complemented
480	#380	C₂³	1	8	yes	complemented
481	#380	C₂³	1	4	yes	complemented
482	#379	C₂³	1	4	yes	—
483	#379	C₂³	1	4	yes	—
484	#379	C₂³	1	4	yes	—
485	#379	C₂³	1	4	yes	—
486	#379	C₂³	1	4	yes	—
487	#379	C₂³	1	2	yes	—
488	#379	C₂³	1	2	yes	—
489	#379	C₂³	1	8	yes	—
490	#379	C₂³	1	8	yes	—
491	#379	C₂³	1	8	yes	—
492	#379	C₂³	1	8	yes	—
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	4	yes	complemented
497	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
498	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
499	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
500	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
501	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
502	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
503	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
504	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
505	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
506	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
507	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
508	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
509	#376	C₂³	1	2	yes	complemented
510	C₂×#95	C₂³	1	2	yes	—
511	C₄³	C₂³	1	2	yes	complemented
512	C₂⁵	—	4	4	no	—
513	C₂⁵	—	4	4	no	—
514	C₂⁵	—	4	4	no	—
515	C₂⁵	—	4	8	no	—
516	C₂⁵	—	8	4	no	—
517	C₂⁵	C₂⁴	1	1	yes	characteristic
518	C₂⁵	C₂⁴	1	2	yes	—
519	C₂⁵	C₂⁴	1	2	yes	—
520	C₂⁵	C₂⁴	1	2	yes	—
521	C₂⁵	C₂⁴	1	8	yes	—
522	C₂×#41	—	2	4	no	—
523	C₂×#41	—	2	4	no	—
524	C₂×#41	—	2	4	no	—
525	C₂×#41	—	2	4	no	—
526	C₂×#41	—	2	4	no	—
527	C₂×#41	—	2	4	no	—
528	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
529	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
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	—	2	4	no	—
537	C₂²×D₄	—	2	4	no	—
538	C₂²×D₄	—	2	4	no	—
539	C₂²×D₄	—	4	8	no	—
540	C₂²×D₄	—	4	8	no	—
541	C₂²×D₄	—	4	8	no	—
542	C₂²×D₄	—	4	8	no	—
543	C₂²×D₄	—	4	8	no	—
544	C₂²×D₄	—	4	8	no	—
545	C₂²×D₄	—	4	8	no	—
546	C₂²×D₄	—	4	8	no	—
547	C₂²×D₄	—	4	4	no	—
548	C₂²×D₄	—	4	4	no	—
549	C₂²×D₄	—	4	4	no	—
550	C₂²×D₄	—	4	4	no	—
551	C₂²×D₄	—	4	8	no	—
552	C₂²×D₄	—	4	8	no	—
553	C₂²×D₄	—	4	8	no	—
554	C₂²×D₄	—	4	64	no	—
555	C₂²×D₄	—	8	4	no	—
556	C₂²×D₄	—	8	4	no	—
557	C₂²×D₄	C₂⁴	1	2	yes	—
558	C₂²×D₄	C₂⁴	1	2	yes	—
559	C₂²×D₄	C₂⁴	1	2	yes	—
560	C₂²×D₄	C₂⁴	1	2	yes	—
561	C₂²×D₄	C₂⁴	1	1	yes	characteristic
562	C₂²×D₄	C₂⁴	1	1	yes	characteristic
563	C₂²×D₄	C₂⁴	1	2	yes	—
564	C₂²×D₄	C₂⁴	1	2	yes	—
565	C₂²×D₄	C₂⁴	1	2	yes	—
566	C₂²×D₄	C₂⁴	1	2	yes	—
567	C₂²×D₄	C₂⁴	1	4	yes	—
568	C₂²×D₄	C₂⁴	1	4	yes	—
569	C₂²×D₄	C₂⁴	1	4	yes	—
570	C₂²×D₄	C₂⁴	1	8	yes	—
571	C₂²×D₄	C₂⁴	1	8	yes	—
572	C₂²×D₄	C₂⁴	1	8	yes	—
573	C₂²×D₄	C₂⁴	1	4	yes	—
574	C₂²×D₄	C₂⁴	1	8	yes	—
575	C₂²×D₄	C₂⁴	1	4	yes	—
576	C₂²×D₄	C₂⁴	1	4	yes	—
577	C₂²×D₄	C₂⁴	1	8	yes	—
578	C₂²×D₄	C₂⁴	1	4	yes	—
579	C₂²×D₄	C₂⁴	1	8	yes	—
580	C₂²×D₄	C₂⁴	1	8	yes	—
581	C₂²×D₄	C₂⁴	1	4	yes	—
582	C₂²×D₄	C₂⁴	1	8	yes	—
583	C₂²×D₄	C₂⁴	1	4	yes	—
584	C₂²×D₄	C₂⁴	1	8	yes	—
585	C₂³×C₄	—	2	4	no	—
586	C₂³×C₄	—	2	4	no	—
587	C₂³×C₄	—	2	4	no	—
588	C₂³×C₄	C₂⁴	1	1	yes	characteristic
589	C₂³×C₄	C₂⁴	1	2	yes	—
590	C₂³×C₄	C₂⁴	1	2	yes	—
591	C₂³×C₄	C₂⁴	1	2	yes	—
592	C₂³×C₄	C₂⁴	1	2	yes	—
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	4	yes	—
597	C₂³×C₄	C₂⁴	1	8	yes	—
598	C₂³×C₄	C₂⁴	1	4	yes	—
599	C₂³×C₄	C₂⁴	1	1	yes	characteristic
600	C₄⋊Q₈	—	4	2	no	—
601	#127	—	4	4	no	—
602	#127	—	4	4	no	—
603	#127	—	4	8	no	—
604	#127	—	4	8	no	—
605	#127	—	4	4	no	—
606	#127	—	4	4	no	—
607	#127	—	4	4	no	—
608	#127	—	4	4	no	—
609	#127	—	4	4	no	—
610	#127	—	4	4	no	—
611	#127	—	4	2	no	—
612	#127	—	4	4	no	—
613	#127	—	4	4	no	—
614	#127	—	4	16	no	—
615	#127	—	8	8	no	—
616	#126	—	2	16	no	—
617	#126	—	4	16	no	—
618	#124	—	4	4	no	—
619	#124	—	4	4	no	—
620	#124	—	4	4	no	—
621	#124	—	4	4	no	—
622	#124	—	4	2	no	—
623	#124	—	4	2	no	—
624	#124	—	4	4	no	—
625	#124	—	4	4	no	—
626	#123	—	4	16	no	—
627	#123	—	4	16	no	—
628	#123	—	4	4	no	—
629	#123	—	4	4	no	—
630	#123	—	4	16	no	—
631	#123	—	8	8	no	—
632	C₂²⋊Q₈	—	4	4	no	—
633	C₂²⋊Q₈	—	4	4	no	—
634	#121	—	2	16	no	—
635	#121	—	4	16	no	—
636	#121	—	4	16	no	—
637	#121	—	4	16	no	—
638	#121	—	4	16	no	—
639	#121	—	4	8	no	—
640	#121	—	4	8	no	—
641	#121	—	4	4	no	—
642	#121	—	4	4	no	—
643	#121	—	4	4	no	—
644	#121	—	4	4	no	—
645	#121	—	4	8	no	—
646	#121	—	4	8	no	—
647	#121	—	4	4	no	—
648	#121	—	4	4	no	—
649	#121	—	4	8	no	—
650	#121	—	4	4	no	—
651	#121	—	4	4	no	—
652	#121	—	4	16	no	—
653	#121	—	4	8	no	—
654	#121	—	8	8	no	—
655	#121	—	8	8	no	—
656	#120	—	2	32	no	—
657	#120	—	4	16	no	—
658	#120	—	4	16	no	—
659	#120	—	4	16	no	—
660	#120	—	4	4	no	—
661	#120	—	4	4	no	—
662	#120	—	4	8	no	—
663	#120	—	4	8	no	—
664	#120	—	4	8	no	—
665	#120	—	4	8	no	—
666	#120	—	4	8	no	—
667	#120	—	4	8	no	—
668	#120	—	4	16	no	—
669	#120	—	4	16	no	—
670	#120	—	8	8	no	—
671	#120	—	8	8	no	—
672	C₄×Q₈	—	4	4	no	—
673	C₄×Q₈	—	4	4	no	—
674	C₄×D₄	—	4	4	no	—
675	C₄×D₄	—	4	8	no	—
676	C₄×D₄	—	4	8	no	—
677	C₄×D₄	—	4	4	no	—
678	C₄×D₄	—	4	8	no	—
679	C₄×D₄	—	4	8	no	—
680	C₄×D₄	—	4	8	no	—
681	C₄×D₄	—	4	8	no	—
682	C₄×D₄	—	4	8	no	—
683	#117	—	2	4	no	—
684	#117	—	2	4	no	—
685	#117	—	2	4	no	—
686	#117	—	2	4	no	—
687	#117	—	2	4	no	—
688	#117	—	2	4	no	—
689	#117	—	4	4	no	—
690	#117	—	4	4	no	—
691	C₂×C₄⋊C₄	—	2	4	no	—
692	C₂×C₄⋊C₄	—	4	4	no	—
693	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
694	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
695	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
696	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
697	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
698	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
699	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
700	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
701	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
702	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
703	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
704	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
705	C₂×C₄⋊C₄	C₂⁴	1	4	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	4	yes	—
710	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
711	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
712	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
713	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
714	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
715	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
716	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
717	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
718	C₂×C₂²⋊C₄	—	2	8	no	—
719	C₂×C₂²⋊C₄	—	4	8	no	—
720	C₂×C₂²⋊C₄	—	4	8	no	—
721	C₂×C₂²⋊C₄	—	4	8	no	—
722	C₂×C₂²⋊C₄	—	4	4	no	—
723	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
724	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
725	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
726	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
727	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
728	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
729	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
730	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
731	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
732	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
733	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
734	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
735	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
736	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
737	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
738	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
739	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
740	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
741	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
742	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
743	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
744	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
745	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
746	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
747	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
748	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
749	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
750	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
751	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
752	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
753	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
754	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
755	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
756	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
757	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
758	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
759	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
760	C₂×C₂²⋊C₄	C₂⁴	1	8	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	8	yes	—
767	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
768	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
769	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
770	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
771	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
772	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
773	C₂×C₄²	—	2	4	no	—
774	C₂×C₄²	—	2	4	no	—
775	C₂×C₄²	—	4	4	no	—
776	C₂×C₄²	C₂⁴	1	2	yes	—
777	C₂×C₄²	C₂⁴	1	2	yes	—
778	C₂×C₄²	C₂⁴	1	2	yes	—
779	C₂×C₄²	C₂⁴	1	2	yes	—
780	C₂×C₄²	C₂⁴	1	2	yes	—
781	C₂×C₄²	C₂⁴	1	2	yes	—
782	C₂×C₄²	C₂⁴	1	1	yes	characteristic
783	C₂×C₄²	C₂⁴	1	2	yes	—
784	C₂×C₄²	C₂⁴	1	2	yes	—
785	C₂×C₄²	C₂⁴	1	1	yes	characteristic
786	C₂×C₄²	C₂⁴	1	4	yes	—
787	C₂×C₄²	C₂⁴	1	1	yes	characteristic
788	C₂×C₄²	C₂⁴	1	1	yes	characteristic
789	C₂×C₄²	C₂⁴	1	4	yes	—
790	C₂×C₄²	C₂⁴	1	4	yes	—
791	C₂×C₄²	C₂⁴	1	4	yes	—
792	#95	C₂⁴	1	2	yes	—
793	#95	C₂⁴	1	2	yes	—
794	#95	C₂⁴	1	2	yes	—
795	#95	C₂⁴	1	2	yes	—
796	#95	C₂⁴	1	4	yes	—
797	#95	C₂⁴	1	4	yes	—
798	#95	C₂⁴	1	4	yes	—
799	#95	C₂⁴	1	4	yes	—
800	#95	C₂⁴	1	4	yes	—
801	#95	C₂⁴	1	4	yes	—
802	#95	C₂⁴	1	4	yes	—
803	#95	C₂⁴	1	4	yes	—
804	#95	C₂⁴	1	4	yes	—
805	#95	C₂⁴	1	4	yes	—
806	#95	C₂⁴	1	4	yes	—
807	#95	C₂⁴	1	4	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	8	yes	—
813	#95	C₂⁴	1	8	yes	—
814	#95	C₂⁴	1	8	yes	—
815	C₂⁴	—	2	4	no	—
816	C₂⁴	—	2	2	no	—
817	C₂⁴	—	2	2	no	—
818	C₂⁴	—	2	2	no	—
819	C₂⁴	—	2	4	no	—
820	C₂⁴	—	2	4	no	—
821	C₂⁴	—	2	4	no	—
822	C₂⁴	—	2	4	no	—
823	C₂⁴	—	2	4	no	—
824	C₂⁴	—	2	4	no	—
825	C₂⁴	—	2	4	no	—
826	C₂⁴	—	2	4	no	—
827	C₂⁴	—	2	4	no	—
828	C₂⁴	—	2	16	no	—
829	C₂⁴	—	4	2	no	—
830	C₂⁴	—	4	4	no	—
831	C₂⁴	—	4	4	no	—
832	C₂⁴	—	4	8	no	—
833	C₂⁴	—	4	8	no	—
834	C₂⁴	—	4	8	no	—
835	C₂⁴	—	4	4	no	—
836	C₂⁴	—	4	4	no	—
837	C₂⁴	—	4	8	no	—
838	C₂⁴	—	4	8	no	—
839	C₂⁴	—	4	8	no	—
840	C₂⁴	—	4	4	no	—
841	C₂⁴	—	4	4	no	—
842	C₂⁴	—	4	32	no	—
843	C₂⁴	—	8	16	no	—
844	C₂⁴	—	8	32	no	—
845	C₂⁴	—	8	32	no	—
846	C₂⁴	—	8	16	no	—
847	C₂⁴	C₂⁵	1	4	yes	—
848	C₂⁴	C₂⁵	1	4	yes	—
849	C₂⁴	C₂⁵	1	4	yes	—
850	C₂⁴	C₂⁵	1	2	yes	—
851	C₂⁴	C₂⁵	1	2	yes	—
852	C₂⁴	C₂⁵	1	2	yes	—
853	C₂⁴	C₂⁵	1	1	yes	characteristic
854	#41	—	4	16	no	—
855	#41	—	4	16	no	—
856	C₂×Q₈	—	2	2	no	—
857	C₂×Q₈	—	2	2	no	—
858	C₂×Q₈	—	2	2	no	—
859	C₂×Q₈	—	2	2	no	—
860	C₂×Q₈	—	2	2	no	—
861	C₂×Q₈	—	2	2	no	—
862	C₂×D₄	—	2	4	no	—
863	C₂×D₄	—	2	4	no	—
864	C₂×D₄	—	2	4	no	—
865	C₂×D₄	—	2	4	no	—
866	C₂×D₄	—	2	4	no	—
867	C₂×D₄	—	2	4	no	—
868	C₂×D₄	—	2	16	no	—
869	C₂×D₄	—	2	8	no	—
870	C₂×D₄	—	2	8	no	—
871	C₂×D₄	—	2	4	no	—
872	C₂×D₄	—	2	4	no	—
873	C₂×D₄	—	2	2	no	—
874	C₂×D₄	—	2	2	no	—
875	C₂×D₄	—	2	4	no	—
876	C₂×D₄	—	2	4	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	2	4	no	—
879	C₂×D₄	—	2	2	no	—
880	C₂×D₄	—	2	4	no	—
881	C₂×D₄	—	2	4	no	—
882	C₂×D₄	—	2	4	no	—
883	C₂×D₄	—	2	4	no	—
884	C₂×D₄	—	2	4	no	—
885	C₂×D₄	—	2	2	no	—
886	C₂×D₄	—	2	4	no	—
887	C₂×D₄	—	2	4	no	—
888	C₂×D₄	—	2	4	no	—
889	C₂×D₄	—	2	4	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	4	no	—
892	C₂×D₄	—	2	4	no	—
893	C₂×D₄	—	2	4	no	—
894	C₂×D₄	—	2	4	no	—
895	C₂×D₄	—	2	16	no	—
896	C₂×D₄	—	2	16	no	—
897	C₂×D₄	—	2	8	no	—
898	C₂×D₄	—	4	8	no	—
899	C₂×D₄	—	4	8	no	—
900	C₂×D₄	—	4	8	no	—
901	C₂×D₄	—	4	4	no	—
902	C₂×D₄	—	4	4	no	—
903	C₂×D₄	—	4	4	no	—
904	C₂×D₄	—	4	8	no	—
905	C₂×D₄	—	4	8	no	—
906	C₂×D₄	—	4	8	no	—
907	C₂×D₄	—	4	4	no	—
908	C₂×D₄	—	4	4	no	—
909	C₂×D₄	—	4	8	no	—
910	C₂×D₄	—	4	8	no	—
911	C₂×D₄	—	4	8	no	—
912	C₂×D₄	—	4	8	no	—
913	C₂×D₄	—	4	8	no	—
914	C₂×D₄	—	4	8	no	—
915	C₂×D₄	—	4	8	no	—
916	C₂×D₄	—	4	8	no	—
917	C₂×D₄	—	4	4	no	—
918	C₂×D₄	—	4	8	no	—
919	C₂×D₄	—	4	8	no	—
920	C₂×D₄	—	4	8	no	—
921	C₂×D₄	—	4	4	no	—
922	C₂×D₄	—	4	8	no	—
923	C₂×D₄	—	4	4	no	—
924	C₂×D₄	—	4	4	no	—
925	C₂×D₄	—	4	4	no	—
926	C₂×D₄	—	4	8	no	—
927	C₂×D₄	—	4	4	no	—
928	C₂×D₄	—	4	8	no	—
929	C₂×D₄	—	4	4	no	—
930	C₂×D₄	—	4	8	no	—
931	C₂×D₄	—	4	8	no	—
932	C₂×D₄	—	4	8	no	—
933	C₂×D₄	—	4	8	no	—
934	C₂×D₄	—	4	8	no	—
935	C₂×D₄	—	4	8	no	—
936	C₂×D₄	—	4	8	no	—
937	C₂×D₄	—	4	8	no	—
938	C₂×D₄	—	4	8	no	—
939	C₂×D₄	—	4	8	no	—
940	C₂×D₄	—	4	32	no	—
941	C₂×D₄	—	4	64	no	—
942	C₂×D₄	—	4	64	no	—
943	C₂×D₄	—	4	16	no	—
944	C₂×D₄	—	4	16	no	—
945	C₂×D₄	—	4	16	no	—
946	C₂×D₄	—	8	32	no	—
947	C₂×D₄	—	8	32	no	—
948	C₂×D₄	—	8	16	no	—
949	C₂²×C₄	—	2	4	no	—
950	C₂²×C₄	—	2	4	no	—
951	C₂²×C₄	—	2	2	no	—
952	C₂²×C₄	—	2	2	no	—
953	C₂²×C₄	—	2	2	no	—
954	C₂²×C₄	—	2	4	no	—
955	C₂²×C₄	—	2	4	no	—
956	C₂²×C₄	—	2	4	no	—
957	C₂²×C₄	—	2	4	no	—
958	C₂²×C₄	—	2	4	no	—
959	C₂²×C₄	—	2	4	no	—
960	C₂²×C₄	—	2	4	no	—
961	C₂²×C₄	—	2	4	no	—
962	C₂²×C₄	—	2	4	no	—
963	C₂²×C₄	—	2	4	no	—
964	C₂²×C₄	—	2	4	no	—
965	C₂²×C₄	—	2	4	no	—
966	C₂²×C₄	—	2	4	no	—
967	C₂²×C₄	—	2	4	no	—
968	C₂²×C₄	—	2	4	no	—
969	C₂²×C₄	—	2	8	no	—
970	C₂²×C₄	—	4	2	no	—
971	C₂²×C₄	—	4	2	no	—
972	C₂²×C₄	—	4	4	no	—
973	C₂²×C₄	—	4	4	no	—
974	C₂²×C₄	—	4	4	no	—
975	C₂²×C₄	—	4	8	no	—
976	C₂²×C₄	—	4	4	no	—
977	C₂²×C₄	—	4	8	no	—
978	C₂²×C₄	—	4	8	no	—
979	C₂²×C₄	—	4	8	no	—
980	C₂²×C₄	—	4	16	no	—
981	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
982	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
983	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
984	C₂²×C₄	C₂⁵	1	2	yes	—
985	C₂²×C₄	C₂⁵	1	2	yes	—
986	C₂²×C₄	C₂⁵	1	2	yes	—
987	C₂²×C₄	C₂⁵	1	2	yes	—
988	C₂²×C₄	C₂⁵	1	4	yes	—
989	C₂²×C₄	C₂⁵	1	4	yes	—
990	C₂²×C₄	C₂⁵	1	2	yes	—
991	C₂²×C₄	C₂⁵	1	2	yes	—
992	C₂²×C₄	C₂⁵	1	4	yes	—
993	C₂²×C₄	C₂⁵	1	2	yes	—
994	C₂²×C₄	C₂⁵	1	4	yes	—
995	C₂²×C₄	C₂⁵	1	4	yes	—
996	C₂²×C₄	C₂⁵	1	2	yes	—
997	C₂²×C₄	C₂⁵	1	2	yes	—
998	C₂²×C₄	C₂⁵	1	2	yes	—
999	C₂²×C₄	C₂⁵	1	2	yes	—
1000	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1001	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1002	C₄⋊C₄	—	2	4	no	—
1003	C₄⋊C₄	—	2	4	no	—
1004	C₄⋊C₄	—	2	2	no	—
1005	C₄⋊C₄	—	2	2	no	—
1006	C₄⋊C₄	—	2	4	no	—
1007	C₄⋊C₄	—	2	4	no	—
1008	C₄⋊C₄	—	2	4	no	—
1009	C₄⋊C₄	—	2	4	no	—
1010	C₄⋊C₄	—	2	2	no	—
1011	C₄⋊C₄	—	2	2	no	—
1012	C₄⋊C₄	—	2	8	no	—
1013	C₄⋊C₄	—	2	8	no	—
1014	C₄⋊C₄	—	2	8	no	—
1015	C₄⋊C₄	—	2	8	no	—
1016	C₄⋊C₄	—	4	4	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	8	no	—
1022	C₄⋊C₄	—	4	8	no	—
1023	C₄⋊C₄	—	4	4	no	—
1024	C₄⋊C₄	—	4	4	no	—
1025	C₄⋊C₄	—	4	4	no	—
1026	C₄⋊C₄	—	4	4	no	—
1027	C₂²⋊C₄	—	2	4	no	—
1028	C₂²⋊C₄	—	2	4	no	—
1029	C₂²⋊C₄	—	2	4	no	—
1030	C₂²⋊C₄	—	2	4	no	—
1031	C₂²⋊C₄	—	2	4	no	—
1032	C₂²⋊C₄	—	2	4	no	—
1033	C₂²⋊C₄	—	2	4	no	—
1034	C₂²⋊C₄	—	2	8	no	—
1035	C₂²⋊C₄	—	2	8	no	—
1036	C₂²⋊C₄	—	2	4	no	—
1037	C₂²⋊C₄	—	2	4	no	—
1038	C₂²⋊C₄	—	2	16	no	—
1039	C₂²⋊C₄	—	2	16	no	—
1040	C₂²⋊C₄	—	2	8	no	—
1041	C₂²⋊C₄	—	4	8	no	—
1042	C₂²⋊C₄	—	4	8	no	—
1043	C₂²⋊C₄	—	4	8	no	—
1044	C₂²⋊C₄	—	4	8	no	—
1045	C₂²⋊C₄	—	4	4	no	—
1046	C₂²⋊C₄	—	4	4	no	—
1047	C₂²⋊C₄	—	4	4	no	—
1048	C₂²⋊C₄	—	4	4	no	—
1049	C₂²⋊C₄	—	4	4	no	—
1050	C₂²⋊C₄	—	4	4	no	—
1051	C₂²⋊C₄	—	4	4	no	—
1052	C₂²⋊C₄	—	4	4	no	—
1053	C₂²⋊C₄	—	4	4	no	—
1054	C₂²⋊C₄	—	4	8	no	—
1055	C₂²⋊C₄	—	4	4	no	—
1056	C₂²⋊C₄	—	4	8	no	—
1057	C₂²⋊C₄	—	4	4	no	—
1058	C₂²⋊C₄	—	4	4	no	—
1059	C₂²⋊C₄	—	4	4	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	8	no	—
1066	C₂²⋊C₄	—	4	4	no	—
1067	C₂²⋊C₄	—	4	4	no	—
1068	C₂²⋊C₄	—	4	8	no	—
1069	C₂²⋊C₄	—	4	8	no	—
1070	C₂²⋊C₄	—	4	8	no	—
1071	C₂²⋊C₄	—	4	8	no	—
1072	C₂²⋊C₄	—	4	8	no	—
1073	C₂²⋊C₄	—	4	8	no	—
1074	C₂²⋊C₄	—	4	4	no	—
1075	C₂²⋊C₄	—	4	8	no	—
1076	C₂²⋊C₄	H(5,𝔽₂)	1	8	yes	—
1077	C₄²	—	2	2	no	—
1078	C₄²	—	2	2	no	—
1079	C₄²	—	2	4	no	—
1080	C₄²	—	2	4	no	—
1081	C₄²	—	2	2	no	—
1082	C₄²	—	2	2	no	—
1083	C₄²	—	2	4	no	—
1084	C₄²	—	2	4	no	—
1085	C₄²	—	2	4	no	—
1086	C₄²	—	2	4	no	—
1087	C₄²	—	2	4	no	—
1088	C₄²	—	2	4	no	—
1089	C₄²	—	2	8	no	—
1090	C₄²	—	4	4	no	—
1091	C₄²	—	4	4	no	—
1092	C₄²	—	4	4	no	—
1093	C₂³	—	2	2	no	—
1094	C₂³	—	2	2	no	—
1095	C₂³	—	2	8	no	—
1096	C₂³	—	2	2	no	—
1097	C₂³	—	2	2	no	—
1098	C₂³	—	2	2	no	—
1099	C₂³	—	2	2	no	—
1100	C₂³	—	2	2	no	—
1101	C₂³	—	2	2	no	—
1102	C₂³	—	2	8	no	—
1103	C₂³	—	2	8	no	—
1104	C₂³	—	2	4	no	—
1105	C₂³	—	2	2	no	—
1106	C₂³	—	2	4	no	—
1107	C₂³	—	2	2	no	—
1108	C₂³	—	2	2	no	—
1109	C₂³	—	2	4	no	—
1110	C₂³	—	2	2	no	—
1111	C₂³	—	2	2	no	—
1112	C₂³	—	2	4	no	—
1113	C₂³	—	2	4	no	—
1114	C₂³	—	2	4	no	—
1115	C₂³	—	2	4	no	—
1116	C₂³	—	2	4	no	—
1117	C₂³	—	2	4	no	—
1118	C₂³	—	2	8	no	—
1119	C₂³	—	2	2	no	—
1120	C₂³	—	2	4	no	—
1121	C₂³	—	2	4	no	—
1122	C₂³	—	2	8	no	—
1123	C₂³	—	2	8	no	—
1124	C₂³	—	2	8	no	—
1125	C₂³	—	2	4	no	—
1126	C₂³	—	2	4	no	—
1127	C₂³	—	4	8	no	—
1128	C₂³	—	4	8	no	—
1129	C₂³	—	4	4	no	—
1130	C₂³	—	4	16	no	—
1131	C₂³	—	4	16	no	—
1132	C₂³	—	4	4	no	—
1133	C₂³	—	4	32	no	—
1134	C₂³	—	4	8	no	—
1135	C₂³	—	4	8	no	—
1136	C₂³	—	4	8	no	—
1137	C₂³	—	8	4	no	—
1138	C₂³	—	8	4	no	—
1139	C₂³	—	8	4	no	—
1140	C₂³	—	8	4	no	—
1141	C₂³	—	8	8	no	—
1142	C₂³	—	8	8	no	—
1143	C₂³	—	8	16	no	—
1144	C₂³	—	8	16	no	—
1145	C₂³	—	8	16	no	—
1146	C₂³	—	8	4	no	—
1147	C₂³	—	8	8	no	—
1148	C₂³	—	8	8	no	—
1149	C₂³	—	8	4	no	—
1150	C₂³	—	8	16	no	—
1151	C₂³	—	8	16	no	—
1152	C₂³	—	8	16	no	—
1153	C₂³	—	8	128	no	—
1154	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1155	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1156	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1157	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1158	C₂³	C₂⁶	1	1	yes	characteristic
1159	Q₈	—	4	4	no	—
1160	Q₈	—	4	4	no	—
1161	D₄	—	4	32	no	—
1162	D₄	—	4	8	no	—
1163	D₄	—	4	8	no	—
1164	D₄	—	4	8	no	—
1165	D₄	—	4	8	no	—
1166	D₄	—	4	8	no	—
1167	D₄	—	4	8	no	—
1168	D₄	—	4	8	no	—
1169	D₄	—	4	8	no	—
1170	D₄	—	4	4	no	—
1171	D₄	—	4	4	no	—
1172	D₄	—	8	8	no	—
1173	D₄	—	8	16	no	—
1174	D₄	—	8	16	no	—
1175	D₄	—	8	8	no	—
1176	D₄	—	8	8	no	—
1177	D₄	—	8	16	no	—
1178	D₄	—	8	16	no	—
1179	D₄	—	8	16	no	—
1180	D₄	—	16	4	no	—
1181	D₄	—	16	4	no	—
1182	D₄	—	16	4	no	—
1183	D₄	—	16	4	no	—
1184	D₄	—	16	4	no	—
1185	D₄	—	16	4	no	—
1186	D₄	—	16	8	no	—
1187	D₄	—	16	8	no	—
1188	D₄	—	16	8	no	—
1189	C₂×C₄	—	2	2	no	—
1190	C₂×C₄	—	2	2	no	—
1191	C₂×C₄	—	2	2	no	—
1192	C₂×C₄	—	2	2	no	—
1193	C₂×C₄	—	2	2	no	—
1194	C₂×C₄	—	2	2	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	4	no	—
1197	C₂×C₄	—	2	4	no	—
1198	C₂×C₄	—	2	4	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	2	no	—
1201	C₂×C₄	—	2	4	no	—
1202	C₂×C₄	—	2	2	no	—
1203	C₂×C₄	—	2	4	no	—
1204	C₂×C₄	—	2	4	no	—
1205	C₂×C₄	—	2	2	no	—
1206	C₂×C₄	—	2	2	no	—
1207	C₂×C₄	—	2	4	no	—
1208	C₂×C₄	—	2	2	no	—
1209	C₂×C₄	—	2	2	no	—
1210	C₂×C₄	—	2	8	no	—
1211	C₂×C₄	—	2	4	no	—
1212	C₂×C₄	—	2	4	no	—
1213	C₂×C₄	—	2	4	no	—
1214	C₂×C₄	—	2	2	no	—
1215	C₂×C₄	—	2	4	no	—
1216	C₂×C₄	—	2	2	no	—
1217	C₂×C₄	—	2	2	no	—
1218	C₂×C₄	—	2	2	no	—
1219	C₂×C₄	—	2	2	no	—
1220	C₂×C₄	—	2	2	no	—
1221	C₂×C₄	—	2	2	no	—
1222	C₂×C₄	—	2	4	no	—
1223	C₂×C₄	—	2	4	no	—
1224	C₂×C₄	—	2	4	no	—
1225	C₂×C₄	—	2	4	no	—
1226	C₂×C₄	—	2	4	no	—
1227	C₂×C₄	—	2	4	no	—
1228	C₂×C₄	—	2	2	no	—
1229	C₂×C₄	—	2	2	no	—
1230	C₂×C₄	—	4	8	no	—
1231	C₂×C₄	—	4	8	no	—
1232	C₂×C₄	—	4	4	no	—
1233	C₂×C₄	—	4	8	no	—
1234	C₂×C₄	—	4	8	no	—
1235	C₂×C₄	—	4	8	no	—
1236	C₂×C₄	—	4	8	no	—
1237	C₂×C₄	—	8	8	no	—
1238	C₂×C₄	—	8	4	no	—
1239	C₂×C₄	—	16	4	no	—
1240	C₂×C₄	—	16	8	no	—
1241	C₂×C₄	#560	1	16	yes	complemented
1242	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1243	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1244	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1245	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1246	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1247	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1248	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1249	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1250	C₂²	—	2	2	no	—
1251	C₂²	—	2	2	no	—
1252	C₂²	—	2	4	no	—
1253	C₂²	—	2	4	no	—
1254	C₂²	—	2	4	no	—
1255	C₂²	—	2	4	no	—
1256	C₂²	—	2	4	no	—
1257	C₂²	—	4	16	no	—
1258	C₂²	—	4	2	no	—
1259	C₂²	—	4	2	no	—
1260	C₂²	—	4	2	no	—
1261	C₂²	—	4	2	no	—
1262	C₂²	—	4	2	no	—
1263	C₂²	—	4	4	no	—
1264	C₂²	—	4	2	no	—
1265	C₂²	—	4	4	no	—
1266	C₂²	—	4	4	no	—
1267	C₂²	—	4	2	no	—
1268	C₂²	—	4	2	no	—
1269	C₂²	—	4	4	no	—
1270	C₂²	—	4	4	no	—
1271	C₂²	—	4	4	no	—
1272	C₂²	—	4	4	no	—
1273	C₂²	—	4	8	no	—
1274	C₂²	—	4	8	no	—
1275	C₂²	—	4	4	no	—
1276	C₂²	—	4	8	no	—
1277	C₂²	—	4	8	no	—
1278	C₂²	—	4	4	no	—
1279	C₂²	—	4	4	no	—
1280	C₂²	—	4	8	no	—
1281	C₂²	—	4	8	no	—
1282	C₂²	—	4	2	no	—
1283	C₂²	—	4	2	no	—
1284	C₂²	—	4	4	no	—
1285	C₂²	—	4	4	no	—
1286	C₂²	—	4	4	no	—
1287	C₂²	—	8	16	no	—
1288	C₂²	—	8	16	no	—
1289	C₂²	—	8	64	no	—
1290	C₂²	—	16	8	no	—
1291	C₂²	C₂×#560	1	4	yes	—
1292	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1293	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1294	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1295	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1296	C₂²	H(7,𝔽₂)	1	2	yes	—
1297	C₄	—	2	4	no	—
1298	C₄	—	2	4	no	—
1299	C₄	—	4	4	no	—
1300	C₄	—	4	2	no	—
1301	C₄	—	4	2	no	—
1302	C₄	—	4	2	no	—
1303	C₄	—	4	2	no	—
1304	C₄	—	4	2	no	—
1305	C₄	—	4	2	no	—
1306	C₄	—	4	4	no	—
1307	C₄	—	4	4	no	—
1308	C₄	—	4	4	no	—
1309	C₄	—	4	4	no	—
1310	C₄	—	4	2	no	—
1311	C₄	—	4	2	no	—
1312	C₄	—	4	2	no	—
1313	C₄	C₂×#560	1	4	yes	—
1314	C₄	C₂×#560	1	4	yes	—
1315	C₂	—	2	4	no	—
1316	C₂	—	4	4	no	—
1317	C₂	—	8	2	no	—
1318	C₂	—	8	2	no	—
1319	C₂	—	8	4	no	—
1320	C₂	—	8	4	no	—
1321	C₂	—	8	4	no	—
1322	C₂	C₂²×#560	1	1	yes	characteristic
1323	C₂	#62832	1	1	yes	characteristic
1324	C₂	#62876	1	1	yes	characteristic
1325	C₂	#62912	1	2	yes	—
1326	C₂	#62912	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. #53102	C₂	semidirect
2. #53000	C₂	semidirect
3. #53000	C₂	semidirect
4. #52971	C₂	semidirect
5. #52308	C₂	semidirect
6. #46061	C₂	semidirect
7. #45992	C₂	semidirect
8. #45655	C₂	semidirect
9. #45483	C₂	semidirect
10. #45438	C₂	semidirect
11. #35563	C₂	semidirect
12. #35554	C₂	semidirect
13. #35533	C₂	semidirect
14. #35531	C₂	semidirect
15. #35528	C₂	semidirect
16. #35514	C₂	semidirect
17. #35274	C₂	semidirect
18. #35272	C₂	semidirect
19. #35266	C₂	semidirect
20. #35254	C₂	semidirect
21. #35222	C₂	semidirect
22. #35222	C₂	semidirect
23. #34814	C₂	semidirect
24. #34743	C₂	semidirect
25. C₂×#2433	C₂	semidirect
27. C₂×#560	C₂²	semidirect
32. C₂×#535	C₂²	semidirect
33. C₂×#535	C₂²	semidirect
34. C₂×#532	C₂²	semidirect
41. C₂×#520	C₂²	semidirect
42. C₂×#518	C₂²	semidirect
43. C₂×C₄×#41	C₂²	semidirect
44. #2867	C₂²	semidirect
45. #2860	C₂²	semidirect
46. #2858	C₂²	semidirect
47. #2856	C₂²	semidirect
48. #2856	C₂²	semidirect
49. #2854	C₂²	semidirect
52. #2829	C₂²	semidirect
53. #2828	C₂²	semidirect
54. #2828	C₂²	semidirect
55. #2825	C₂²	semidirect
56. #2825	C₂²	semidirect
57. #2818	C₂²	semidirect
58. #2813	C₂²	semidirect
59. #2813	C₂²	semidirect
60. #2812	C₂²	semidirect
61. #2812	C₂²	semidirect
62. #2803	C₂²	semidirect
63. #2756	C₂²	semidirect
64. #2705	C₂²	semidirect
65. #2703	C₂²	semidirect
66. #2703	C₂²	semidirect
67. #2697	C₂²	semidirect
68. #2685	C₂²	semidirect
69. #2685	C₂²	semidirect
70. #2678	C₂²	semidirect
71. #2678	C₂²	semidirect
72. #2678	C₂²	semidirect
73. #2678	C₂²	semidirect
74. #2673	C₂²	semidirect
75. #2673	C₂²	semidirect
76. #2673	C₂²	semidirect
77. #2669	C₂²	semidirect
78. #2669	C₂²	semidirect
79. #2669	C₂²	semidirect
80. #2668	C₂²	semidirect
81. #2668	C₂²	semidirect
82. #2657	C₂²	semidirect
83. #2657	C₂²	semidirect
84. #2644	C₂²	semidirect
85. #2624	C₂²	semidirect
86. #2619	C₂²	semidirect
87. #2619	C₂²	semidirect
90. #2548	C₂²	semidirect
91. #2548	C₂²	semidirect
92. #2545	C₂²	semidirect
93. #2544	C₂²	semidirect
94. #2544	C₂²	semidirect
95. #2541	C₂²	semidirect
96. #2541	C₂²	semidirect
97. #2541	C₂²	semidirect
98. #2541	C₂²	semidirect
99. #2541	C₂²	semidirect
100. #2537	C₂²	semidirect
101. #2535	C₂²	semidirect
102. #2534	C₂²	semidirect
103. #2513	C₂²	semidirect
104. #2512	C₂²	semidirect
105. #2504	C₂²	semidirect
106. #2501	C₂²	semidirect
107. #2500	C₂²	semidirect
108. #2500	C₂²	semidirect
109. #2497	C₂²	semidirect
110. #2496	C₂²	semidirect
111. #2495	C₂²	semidirect
112. #2494	C₂²	semidirect
113. #2493	C₂²	semidirect
115. #2480	C₂²	semidirect
116. #2448	C₂²	semidirect
117. #2448	C₂²	semidirect
118. #2445	C₂²	semidirect
119. #2445	C₂²	semidirect
120. #2445	C₂²	semidirect
121. #2445	C₂²	semidirect
122. #2445	C₂²	semidirect
123. #2445	C₂²	semidirect
124. #2435	C₂²	semidirect
125. #2435	C₂²	semidirect
130. #2433	C₂²	semidirect
131. #2433	C₂²	semidirect
132. #2433	C₂²	semidirect
133. #2429	C₂²	semidirect
134. #2428	C₂²	semidirect
135. #2428	C₂²	semidirect
136. #2428	C₂²	semidirect
137. #2428	C₂²	semidirect
138. #2428	C₂²	semidirect
139. #2427	C₂²	semidirect
140. #2427	C₂²	semidirect
141. #2426	C₂²	semidirect
142. #2426	C₂²	semidirect
143. #2425	C₂²	semidirect
145. #2424	C₂²	semidirect
146. #2418	C₂²	semidirect
147. #2418	C₂²	semidirect
148. #2416	C₂²	semidirect
149. #2416	C₂²	semidirect
150. #2414	C₂²	semidirect
151. #2414	C₂²	semidirect
152. #2412	C₂²	semidirect
154. #2410	C₂²	semidirect
156. #2408	C₂²	semidirect
157. #2408	C₂²	semidirect
158. #2408	C₂²	semidirect
159. #2408	C₂²	semidirect
160. #2408	C₂²	semidirect
161. #2405	C₂²	semidirect
162. #2401	C₂²	semidirect
163. #2392	C₂²	semidirect
165. #2375	C₂²	semidirect
166. #2317	C₂²	semidirect
167. #2316	C₂²	semidirect
168. #2311	C₂²	semidirect
173. #2309	C₂²	semidirect
174. C₄×#126	C₂²	semidirect
175. C₄×#121	C₂²	semidirect
176. #2297	C₂²	semidirect
177. #2296	C₂²	semidirect
178. #2296	C₂²	semidirect
179. #2296	C₂²	semidirect
182. #2285	C₂²	semidirect
185. C₄×#117	C₂²	semidirect
211. C₂×C₄⋊Q₈	C₂³	semidirect
224. C₂×#127	C₂³	semidirect
225. C₂×#127	C₂³	semidirect
226. C₂×#127	C₂³	semidirect
227. C₂×#127	C₂³	semidirect
228. C₂×#127	C₂³	semidirect
230. C₂×#126	C₂³	semidirect
235. C₂×#124	C₂³	semidirect
236. C₂×#124	C₂³	semidirect
237. C₂×#124	C₂³	semidirect
238. C₂×#124	C₂³	semidirect
243. C₂×#123	C₂³	semidirect
244. C₂×#123	C₂³	semidirect
245. C₂×#123	C₂³	semidirect
246. C₂×#123	C₂³	semidirect
264. C₂×#121	C₂³	semidirect
265. C₂×#121	C₂³	semidirect
266. C₂×#121	C₂³	semidirect
267. C₂×#121	C₂³	semidirect
268. C₂×#121	C₂³	semidirect
269. C₂×#121	C₂³	semidirect
270. C₂×#121	C₂³	semidirect
271. C₂×#121	C₂³	semidirect
292. C₂×C₄×Q₈	C₂³	semidirect
293. C₂×C₄×Q₈	C₂³	semidirect
298. C₂×C₄×D₄	C₂³	semidirect
299. C₂×C₄×D₄	C₂³	semidirect
300. C₂×C₄×D₄	C₂³	semidirect
301. C₂×C₄×D₄	C₂³	semidirect
302. C₂×C₄×D₄	C₂³	semidirect
309. C₂×#117	C₂³	semidirect
310. C₂×#117	C₂³	semidirect
312. C₂²×C₄⋊C₄	C₂³	semidirect
320. C₂²×C₄²	C₂³	semidirect
321. #401	C₂³	semidirect
322. #400	C₂³	semidirect
323. #400	C₂³	semidirect
324. #400	C₂³	semidirect
325. #399	C₂³	semidirect
326. #399	C₂³	semidirect
327. #398	C₂³	semidirect
331. #397	C₂³	semidirect
332. #397	C₂³	semidirect
333. #397	C₂³	semidirect
334. #397	C₂³	semidirect
335. #397	C₂³	semidirect
336. #397	C₂³	semidirect
337. #397	C₂³	semidirect
340. #396	C₂³	semidirect
341. #396	C₂³	semidirect
342. #396	C₂³	semidirect
343. #396	C₂³	semidirect
352. #394	C₂³	semidirect
353. #394	C₂³	semidirect
354. #394	C₂³	semidirect
355. #394	C₂³	semidirect
356. #394	C₂³	semidirect
357. #394	C₂³	semidirect
358. #394	C₂³	semidirect
359. #394	C₂³	semidirect
360. #394	C₂³	semidirect
361. #394	C₂³	semidirect
362. #394	C₂³	semidirect
363. #394	C₂³	semidirect
364. #394	C₂³	semidirect
365. #394	C₂³	semidirect
366. #394	C₂³	semidirect
367. #394	C₂³	semidirect
368. #394	C₂³	semidirect
380. #392	C₂³	semidirect
381. #392	C₂³	semidirect
382. #392	C₂³	semidirect
383. #392	C₂³	semidirect
384. #392	C₂³	semidirect
385. #392	C₂³	semidirect
386. #392	C₂³	semidirect
387. #392	C₂³	semidirect
388. #392	C₂³	semidirect
389. #391	C₂³	semidirect
390. #391	C₂³	semidirect
409. #390	C₂³	semidirect
410. #390	C₂³	semidirect
411. #390	C₂³	semidirect
412. #390	C₂³	semidirect
413. #390	C₂³	semidirect
414. #390	C₂³	semidirect
415. #390	C₂³	semidirect
416. #390	C₂³	semidirect
417. #390	C₂³	semidirect
418. #390	C₂³	semidirect
419. #389	C₂³	semidirect
420. #389	C₂³	semidirect
421. #389	C₂³	semidirect
422. #389	C₂³	semidirect
423. #389	C₂³	semidirect
424. #389	C₂³	semidirect
425. #389	C₂³	semidirect
426. #389	C₂³	semidirect
427. #389	C₂³	semidirect
428. #389	C₂³	semidirect
433. #388	C₂³	semidirect
434. #388	C₂³	semidirect
435. #388	C₂³	semidirect
436. #388	C₂³	semidirect
437. #388	C₂³	semidirect
438. #388	C₂³	semidirect
439. #388	C₂³	semidirect
440. #388	C₂³	semidirect
441. #388	C₂³	semidirect
442. #388	C₂³	semidirect
443. #387	C₂³	semidirect
444. #387	C₂³	semidirect
445. #387	C₂³	semidirect
450. #386	C₂³	semidirect
451. #386	C₂³	semidirect
452. #386	C₂³	semidirect
453. #386	C₂³	semidirect
454. #386	C₂³	semidirect
455. #386	C₂³	semidirect
456. #386	C₂³	semidirect
457. #386	C₂³	semidirect
458. #386	C₂³	semidirect
459. #386	C₂³	semidirect
464. #384	C₂³	semidirect
465. #384	C₂³	semidirect
466. #384	C₂³	semidirect
467. #383	C₂³	semidirect
468. #382	C₂³	semidirect
469. #382	C₂³	semidirect
470. #382	C₂³	semidirect
479. #380	C₂³	semidirect
480. #380	C₂³	semidirect
481. #380	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
507. C₄×C₂²⋊C₄	C₂³	semidirect
508. C₄×C₂²⋊C₄	C₂³	semidirect
509. #376	C₂³	semidirect
511. C₄³	C₂³	semidirect
1241. C₂×C₄	#560	semidirect

Maximal subgroups

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

subgroup	index
#53102	2
#53000	2
#52971	2
#52308	2
#46061	2
#45992	2
#45655	2
#45483	2
#45438	2
#35563	2
#35554	2
#35533	2
#35531	2
#35528	2
#35514	2
#35274	2
#35272	2
#35266	2
#35254	2
#35222	2
#34814	2
#34743	2
C₂×#2433	2