Subgroups — #8751963

Order 512.

5048 conjugacy classes of subgroups.

The subgroup lattice has 1356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#57992	C₂	1	4	yes	maximal, complemented
2	#57594	C₂	1	2	yes	maximal, complemented
3	#56660	C₂	1	2	yes	maximal, complemented
4	#56545	C₂	1	2	yes	maximal, complemented
5	#56343	C₂	1	2	yes	maximal, complemented
6	#54191	C₂	1	4	yes	maximal, complemented
7	#53910	C₂	1	4	yes	maximal, complemented
8	#53428	C₂	1	4	yes	maximal, complemented
9	#51144	C₂	1	4	yes	maximal, complemented
10	#48971	C₂	1	2	yes	maximal, complemented
11	#48550	C₂	1	4	yes	maximal, complemented
12	#47883	C₂	1	2	yes	maximal, complemented
13	#47367	C₂	1	4	yes	maximal, complemented
14	#47079	C₂	1	4	yes	maximal, complemented
15	#47031	C₂	1	1	yes	maximal, characteristic, complemented
16	#46837	C₂	1	1	yes	maximal, characteristic, complemented
17	#46475	C₂	1	2	yes	maximal, complemented
18	#45460	C₂	1	4	yes	maximal, complemented
19	#45458	C₂	1	2	yes	maximal, complemented
20	#45440	C₂	1	4	yes	maximal, complemented
21	#45438	C₂	1	2	yes	maximal, complemented
22	#35050	C₂	1	2	yes	maximal, complemented
23	#34992	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#560	C₂²	1	2	yes	—
25	C₂×#525	C₂²	1	2	yes	complemented
26	C₂²×#120	C₂²	1	1	yes	characteristic
27	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
28	#2849	C₂²	1	4	yes	—
29	#2849	C₂²	1	4	yes	complemented
30	#2846	C₂²	1	4	yes	—
31	#2840	C₂²	1	2	yes	complemented
32	#2840	C₂²	1	1	yes	characteristic, complemented
33	#2834	C₂²	1	2	yes	complemented
34	#2831	C₂²	1	4	yes	complemented
35	#2831	C₂²	1	4	yes	complemented
36	#2830	C₂²	1	4	yes	complemented
37	#2828	C₂²	1	4	yes	complemented
38	#2828	C₂²	1	4	yes	complemented
39	#2816	C₂²	1	4	yes	complemented
40	#2815	C₂²	1	1	yes	characteristic, complemented
41	#2812	C₂²	1	4	yes	—
42	#2812	C₂²	1	2	yes	complemented
43	#2803	C₂²	1	4	yes	complemented
44	#2795	C₂²	1	4	yes	complemented
45	#2793	C₂²	1	4	yes	complemented
46	#2788	C₂²	1	4	yes	complemented
47	#2786	C₂²	1	4	yes	complemented
48	#2786	C₂²	1	4	yes	complemented
49	#2778	C₂²	1	4	yes	complemented
50	#2778	C₂²	1	4	yes	complemented
51	#2777	C₂²	1	4	yes	complemented
52	#2764	C₂²	1	2	yes	complemented
53	#2764	C₂²	1	2	yes	complemented
54	#2764	C₂²	1	4	yes	complemented
55	#2760	C₂²	1	4	yes	complemented
56	#2759	C₂²	1	4	yes	complemented
57	#2757	C₂²	1	4	yes	complemented
58	#2752	C₂²	1	4	yes	complemented
59	#2751	C₂²	1	4	yes	complemented
60	#2751	C₂²	1	4	yes	complemented
61	#2749	C₂²	1	4	yes	complemented
62	#2746	C₂²	1	4	yes	complemented
63	#2746	C₂²	1	4	yes	complemented
64	#2745	C₂²	1	4	yes	complemented
65	#2745	C₂²	1	4	yes	complemented
66	#2743	C₂²	1	4	yes	complemented
67	#2742	C₂²	1	2	yes	complemented
68	#2737	C₂²	1	4	yes	complemented
69	#2737	C₂²	1	4	yes	complemented
70	#2736	C₂²	1	4	yes	—
71	#2736	C₂²	1	2	yes	complemented
72	#2730	C₂²	1	4	yes	complemented
73	#2718	C₂²	1	4	yes	complemented
74	#2712	C₂²	1	2	yes	complemented
75	#2712	C₂²	1	4	yes	complemented
76	#2710	C₂²	1	4	yes	complemented
77	#2709	C₂²	1	2	yes	complemented
78	#2708	C₂²	1	4	yes	complemented
79	#2703	C₂²	1	4	yes	complemented
80	#2701	C₂²	1	4	yes	complemented
81	#2701	C₂²	1	4	yes	complemented
82	#2700	C₂²	1	4	yes	complemented
83	#2699	C₂²	1	4	yes	complemented
84	#2699	C₂²	1	4	yes	complemented
85	#2697	C₂²	1	2	yes	—
86	#2697	C₂²	1	4	yes	complemented
87	#2696	C₂²	1	4	yes	complemented
88	#2696	C₂²	1	4	yes	complemented
89	#2696	C₂²	1	4	yes	complemented
90	#2692	C₂²	1	4	yes	complemented
91	#2689	C₂²	1	4	yes	complemented
92	#2687	C₂²	1	4	yes	complemented
93	#2687	C₂²	1	4	yes	complemented
94	#2687	C₂²	1	4	yes	complemented
95	#2687	C₂²	1	4	yes	complemented
96	#2686	C₂²	1	4	yes	complemented
97	#2686	C₂²	1	4	yes	complemented
98	#2685	C₂²	1	4	yes	—
99	#2684	C₂²	1	4	yes	—
100	#2684	C₂²	1	4	yes	—
101	#2684	C₂²	1	4	yes	complemented
102	#2683	C₂²	1	2	yes	complemented
103	#2681	C₂²	1	4	yes	complemented
104	#2680	C₂²	1	4	yes	complemented
105	#2678	C₂²	1	4	yes	—
106	#2678	C₂²	1	4	yes	—
107	#2676	C₂²	1	4	yes	complemented
108	#2673	C₂²	1	4	yes	complemented
109	#2671	C₂²	1	4	yes	complemented
110	#2670	C₂²	1	4	yes	—
111	#2670	C₂²	1	2	yes	complemented
112	#2670	C₂²	1	2	yes	complemented
113	#2669	C₂²	1	4	yes	—
114	#2669	C₂²	1	2	yes	—
115	#2668	C₂²	1	4	yes	—
116	#2668	C₂²	1	2	yes	complemented
117	#2667	C₂²	1	2	yes	complemented
118	#2654	C₂²	1	4	yes	complemented
119	#2653	C₂²	1	4	yes	complemented
120	#2648	C₂²	1	4	yes	complemented
121	#2639	C₂²	1	4	yes	complemented
122	#2631	C₂²	1	4	yes	complemented
123	#2626	C₂²	1	2	yes	—
124	#2626	C₂²	1	2	yes	complemented
125	#2622	C₂²	1	4	yes	—
126	#2617	C₂²	1	2	yes	—
127	#2617	C₂²	1	2	yes	complemented
128	#2616	C₂²	1	2	yes	complemented
129	#2610	C₂²	1	4	yes	complemented
130	#2607	C₂²	1	1	yes	characteristic, complemented
131	#2600	C₂²	1	4	yes	complemented
132	#2599	C₂²	1	4	yes	complemented
133	#2592	C₂²	1	4	yes	complemented
134	#2573	C₂²	1	4	yes	complemented
135	#2572	C₂²	1	4	yes	complemented
136	#2572	C₂²	1	4	yes	complemented
137	#2572	C₂²	1	4	yes	complemented
138	#2561	C₂²	1	2	yes	—
139	#2561	C₂²	1	2	yes	—
140	#2561	C₂²	1	4	yes	complemented
141	#2561	C₂²	1	2	yes	complemented
142	#2557	C₂²	1	4	yes	complemented
143	#2557	C₂²	1	4	yes	complemented
144	#2539	C₂²	1	2	yes	—
145	#2539	C₂²	1	2	yes	complemented
146	#2534	C₂²	1	4	yes	—
147	#2534	C₂²	1	4	yes	complemented
148	#2531	C₂²	1	4	yes	complemented
149	#2531	C₂²	1	4	yes	complemented
150	#2531	C₂²	1	4	yes	complemented
151	#2527	C₂²	1	4	yes	complemented
152	#2527	C₂²	1	4	yes	complemented
153	#2510	C₂²	1	4	yes	complemented
154	#2483	C₂²	1	2	yes	—
155	#2483	C₂²	1	2	yes	—
156	#2483	C₂²	1	1	yes	characteristic, complemented
157	#2482	C₂²	1	2	yes	—
158	#2482	C₂²	1	2	yes	complemented
159	#2480	C₂²	1	4	yes	—
160	#2478	C₂²	1	4	yes	complemented
161	#2477	C₂²	1	4	yes	complemented
162	#2477	C₂²	1	4	yes	complemented
163	#2476	C₂²	1	4	yes	complemented
164	#2472	C₂²	1	4	yes	—
165	#2472	C₂²	1	4	yes	complemented
166	#2472	C₂²	1	4	yes	complemented
167	#2472	C₂²	1	4	yes	complemented
168	#2468	C₂²	1	4	yes	complemented
169	#2464	C₂²	1	4	yes	complemented
170	#2463	C₂²	1	2	yes	complemented
171	#2458	C₂²	1	4	yes	complemented
172	#2458	C₂²	1	4	yes	complemented
173	#2457	C₂²	1	4	yes	complemented
174	#2456	C₂²	1	4	yes	complemented
175	#2455	C₂²	1	4	yes	complemented
176	#2450	C₂²	1	4	yes	complemented
177	#2445	C₂²	1	4	yes	complemented
178	#2444	C₂²	1	4	yes	complemented
179	#2433	C₂²	1	2	yes	—
180	#2431	C₂²	1	4	yes	complemented
181	#2430	C₂²	1	4	yes	complemented
182	#2426	C₂²	1	4	yes	complemented
183	#2424	C₂²	1	4	yes	—
184	#2423	C₂²	1	4	yes	complemented
185	#2422	C₂²	1	4	yes	complemented
186	#2419	C₂²	1	4	yes	complemented
187	#2418	C₂²	1	4	yes	—
188	#2412	C₂²	1	4	yes	—
189	#2412	C₂²	1	4	yes	—
190	#2411	C₂²	1	4	yes	—
191	#2411	C₂²	1	4	yes	complemented
192	#2410	C₂²	1	4	yes	—
193	#2408	C₂²	1	4	yes	—
194	#2407	C₂²	1	4	yes	complemented
195	#2405	C₂²	1	2	yes	—
196	#2405	C₂²	1	2	yes	—
197	#2405	C₂²	1	2	yes	—
198	#2404	C₂²	1	2	yes	—
199	#2404	C₂²	1	2	yes	—
200	#2404	C₂²	1	4	yes	complemented
201	#2404	C₂²	1	2	yes	complemented
202	#2380	C₂²	1	2	yes	complemented
203	#2378	C₂²	1	2	yes	complemented
204	#2375	C₂²	1	2	yes	—
205	#2375	C₂²	1	4	yes	complemented
206	#2374	C₂²	1	2	yes	complemented
207	#2339	C₂²	1	2	yes	complemented
208	#2333	C₂²	1	2	yes	complemented
209	#2326	C₂²	1	4	yes	complemented
210	#2321	C₂²	1	4	yes	—
211	#2321	C₂²	1	4	yes	complemented
212	#2315	C₂²	1	1	yes	characteristic
213	#2315	C₂²	1	1	yes	characteristic
214	#2312	C₂²	1	2	yes	complemented
215	#2308	C₂²	1	1	yes	characteristic
216	#2308	C₂²	1	1	yes	characteristic
217	#2280	C₂²	1	2	yes	complemented
218	C₂×#379	C₂²	1	1	yes	characteristic
219	C₂⁶	C₂³	1	1	yes	characteristic
220	C₂²×#41	C₂³	1	2	yes	—
221	C₂²×#41	C₂³	1	2	yes	—
222	C₂³×D₄	C₂³	1	1	yes	characteristic
223	C₂³×D₄	C₂³	1	2	yes	—
224	C₂⁴×C₄	C₂³	1	2	yes	—
225	#560	—	4	8	no	—
226	C₂×#127	C₂³	1	2	yes	—
227	C₂×#127	C₂³	1	2	yes	—
228	C₂×#126	C₂³	1	4	yes	—
229	C₂×#124	C₂³	1	4	yes	—
230	C₂×#124	C₂³	1	4	yes	—
231	C₂×#124	C₂³	1	4	yes	—
232	C₂×#124	C₂³	1	4	yes	complemented
233	#525	—	4	8	no	—
234	C₂×#123	C₂³	1	2	yes	—
235	C₂×#123	C₂³	1	2	yes	—
236	C₂×#123	C₂³	1	4	yes	—
237	C₂×#123	C₂³	1	4	yes	—
238	C₂×#123	C₂³	1	4	yes	—
239	C₂×#123	C₂³	1	4	yes	—
240	C₂×#123	C₂³	1	4	yes	—
241	C₂×#123	C₂³	1	4	yes	—
242	C₂×#123	C₂³	1	4	yes	complemented
243	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
244	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
245	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
246	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
247	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
248	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
249	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
250	C₂×#121	C₂³	1	2	yes	—
251	C₂×#121	C₂³	1	2	yes	—
252	C₂×#121	C₂³	1	4	yes	—
253	C₂×#121	C₂³	1	4	yes	—
254	C₂×#121	C₂³	1	4	yes	—
255	C₂×#121	C₂³	1	2	yes	—
256	C₂×#121	C₂³	1	4	yes	—
257	C₂×#121	C₂³	1	4	yes	—
258	C₂×#121	C₂³	1	4	yes	complemented
259	C₂×#120	—	4	4	no	—
260	C₂×#120	C₂³	1	4	yes	—
261	C₂×#120	C₂³	1	2	yes	—
262	C₂×#120	C₂³	1	4	yes	—
263	C₂×#120	C₂³	1	4	yes	—
264	C₂×#120	C₂³	1	2	yes	—
265	C₂×#120	C₂³	1	4	yes	—
266	C₂×#120	C₂³	1	4	yes	—
267	C₂×#120	C₂³	1	4	yes	—
268	C₂×#120	C₂³	1	4	yes	—
269	C₂×#120	C₂³	1	4	yes	—
270	C₂×#120	C₂³	1	4	yes	—
271	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
272	C₂×C₄×D₄	C₂³	1	4	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×#117	C₂³	1	2	yes	—
277	C₂×#117	C₂³	1	4	yes	—
278	C₂²×C₂²⋊C₄	—	4	4	no	—
279	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
282	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
285	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
287	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
288	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
289	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
290	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
291	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
292	#401	C₂³	1	4	yes	complemented
293	#401	C₂³	1	4	yes	complemented
294	#400	C₂³	1	4	yes	complemented
295	#400	C₂³	1	4	yes	complemented
296	#400	C₂³	1	4	yes	complemented
297	#400	C₂³	1	4	yes	complemented
298	#400	C₂³	1	4	yes	complemented
299	#400	C₂³	1	4	yes	complemented
300	#400	C₂³	1	4	yes	complemented
301	#400	C₂³	1	4	yes	complemented
302	#400	C₂³	1	4	yes	complemented
303	#399	C₂³	1	2	yes	—
304	#399	C₂³	1	2	yes	—
305	#399	C₂³	1	2	yes	—
306	#399	C₂³	1	2	yes	—
307	#399	C₂³	1	4	yes	—
308	#399	C₂³	1	4	yes	complemented
309	#398	C₂³	1	4	yes	complemented
310	#398	C₂³	1	4	yes	complemented
311	#398	C₂³	1	4	yes	complemented
312	#398	C₂³	1	4	yes	complemented
313	#398	C₂³	1	4	yes	complemented
314	#398	C₂³	1	4	yes	complemented
315	#398	C₂³	1	4	yes	complemented
316	#398	C₂³	1	4	yes	complemented
317	#398	C₂³	1	4	yes	complemented
318	#397	C₂³	1	2	yes	—
319	#397	C₂³	1	2	yes	—
320	#397	C₂³	1	2	yes	—
321	#397	C₂³	1	2	yes	—
322	#397	C₂³	1	4	yes	—
323	#397	C₂³	1	2	yes	—
324	#397	C₂³	1	2	yes	—
325	#397	C₂³	1	4	yes	—
326	#397	C₂³	1	4	yes	—
327	#397	C₂³	1	4	yes	—
328	#397	C₂³	1	4	yes	—
329	#397	C₂³	1	4	yes	—
330	#397	C₂³	1	4	yes	—
331	#397	C₂³	1	4	yes	—
332	#397	C₂³	1	4	yes	—
333	#397	C₂³	1	4	yes	—
334	#397	C₂³	1	4	yes	—
335	#397	C₂³	1	4	yes	—
336	#397	C₂³	1	4	yes	—
337	#397	C₂³	1	4	yes	complemented
338	#397	C₂³	1	4	yes	complemented
339	#397	C₂³	1	4	yes	complemented
340	#397	C₂³	1	4	yes	complemented
341	#397	C₂³	1	4	yes	complemented
342	#397	C₂³	1	4	yes	complemented
343	#397	C₂³	1	4	yes	complemented
344	#397	C₂³	1	4	yes	complemented
345	#396	C₂³	1	4	yes	—
346	#396	C₂³	1	4	yes	—
347	#396	C₂³	1	4	yes	—
348	#396	C₂³	1	4	yes	—
349	#396	C₂³	1	4	yes	—
350	#396	C₂³	1	4	yes	—
351	#396	C₂³	1	4	yes	complemented
352	#396	C₂³	1	4	yes	complemented
353	#395	C₂³	1	4	yes	complemented
354	#395	C₂³	1	4	yes	complemented
355	#395	C₂³	1	4	yes	complemented
356	#394	C₂³	1	4	yes	—
357	#394	C₂³	1	4	yes	—
358	#394	C₂³	1	4	yes	—
359	#394	C₂³	1	4	yes	—
360	#394	C₂³	1	4	yes	—
361	#394	C₂³	1	4	yes	—
362	#394	C₂³	1	4	yes	—
363	#394	C₂³	1	4	yes	—
364	#394	C₂³	1	4	yes	—
365	#394	C₂³	1	4	yes	—
366	#394	C₂³	1	4	yes	—
367	#394	C₂³	1	4	yes	—
368	#394	C₂³	1	4	yes	—
369	#394	C₂³	1	4	yes	—
370	#394	C₂³	1	4	yes	—
371	#394	C₂³	1	4	yes	—
372	#394	C₂³	1	4	yes	—
373	#394	C₂³	1	4	yes	—
374	#394	C₂³	1	4	yes	—
375	#394	C₂³	1	4	yes	—
376	#394	C₂³	1	4	yes	—
377	#394	C₂³	1	4	yes	—
378	#394	C₂³	1	4	yes	—
379	#394	C₂³	1	4	yes	—
380	#394	C₂³	1	4	yes	complemented
381	#394	C₂³	1	4	yes	complemented
382	#394	C₂³	1	4	yes	complemented
383	#394	C₂³	1	4	yes	complemented
384	#394	C₂³	1	4	yes	complemented
385	#394	C₂³	1	4	yes	complemented
386	#394	C₂³	1	4	yes	complemented
387	#393	C₂³	1	4	yes	—
388	#393	C₂³	1	2	yes	—
389	#393	C₂³	1	2	yes	—
390	#393	C₂³	1	2	yes	—
391	#393	C₂³	1	2	yes	—
392	#393	C₂³	1	2	yes	—
393	#393	C₂³	1	4	yes	—
394	#393	C₂³	1	2	yes	—
395	#393	C₂³	1	4	yes	—
396	#393	C₂³	1	4	yes	—
397	#393	C₂³	1	4	yes	—
398	#393	C₂³	1	2	yes	—
399	#393	C₂³	1	4	yes	—
400	#393	C₂³	1	4	yes	—
401	#393	C₂³	1	2	yes	—
402	#393	C₂³	1	4	yes	complemented
403	#393	C₂³	1	4	yes	complemented
404	#393	C₂³	1	4	yes	complemented
405	#393	C₂³	1	4	yes	complemented
406	#393	C₂³	1	4	yes	complemented
407	#392	C₂³	1	2	yes	—
408	#392	C₂³	1	4	yes	—
409	#392	C₂³	1	4	yes	—
410	#392	C₂³	1	4	yes	—
411	#392	C₂³	1	4	yes	—
412	#392	C₂³	1	2	yes	—
413	#392	C₂³	1	4	yes	—
414	#392	C₂³	1	2	yes	—
415	#392	C₂³	1	2	yes	—
416	#392	C₂³	1	2	yes	—
417	#392	C₂³	1	4	yes	—
418	#392	C₂³	1	2	yes	—
419	#392	C₂³	1	4	yes	—
420	#392	C₂³	1	4	yes	—
421	#392	C₂³	1	4	yes	—
422	#392	C₂³	1	4	yes	complemented
423	#392	C₂³	1	4	yes	complemented
424	#391	C₂³	1	4	yes	complemented
425	#391	C₂³	1	4	yes	complemented
426	#391	C₂³	1	4	yes	complemented
427	#391	C₂³	1	4	yes	complemented
428	#391	C₂³	1	4	yes	complemented
429	#391	C₂³	1	4	yes	complemented
430	#391	C₂³	1	4	yes	complemented
431	#390	C₂³	1	4	yes	—
432	#390	C₂³	1	4	yes	—
433	#390	C₂³	1	4	yes	—
434	#390	C₂³	1	4	yes	—
435	#390	C₂³	1	4	yes	—
436	#390	C₂³	1	4	yes	—
437	#390	C₂³	1	4	yes	—
438	#390	C₂³	1	4	yes	—
439	#390	C₂³	1	2	yes	—
440	#390	C₂³	1	2	yes	—
441	#390	C₂³	1	4	yes	—
442	#390	C₂³	1	4	yes	—
443	#390	C₂³	1	4	yes	complemented
444	#390	C₂³	1	4	yes	complemented
445	#389	C₂³	1	4	yes	complemented
446	#389	C₂³	1	4	yes	complemented
447	#389	C₂³	1	4	yes	complemented
448	#389	C₂³	1	4	yes	complemented
449	#388	C₂³	1	4	yes	—
450	#388	C₂³	1	4	yes	—
451	#388	C₂³	1	4	yes	—
452	#388	C₂³	1	4	yes	—
453	#388	C₂³	1	4	yes	—
454	#388	C₂³	1	4	yes	—
455	#388	C₂³	1	4	yes	—
456	#388	C₂³	1	4	yes	—
457	#388	C₂³	1	4	yes	—
458	#388	C₂³	1	4	yes	—
459	#388	C₂³	1	4	yes	—
460	#388	C₂³	1	4	yes	—
461	#388	C₂³	1	4	yes	—
462	#388	C₂³	1	4	yes	—
463	#388	C₂³	1	4	yes	—
464	#388	C₂³	1	4	yes	—
465	#388	C₂³	1	4	yes	—
466	#388	C₂³	1	4	yes	—
467	#388	C₂³	1	4	yes	—
468	#388	C₂³	1	4	yes	—
469	#388	C₂³	1	4	yes	—
470	#388	C₂³	1	4	yes	—
471	#388	C₂³	1	4	yes	—
472	#388	C₂³	1	4	yes	—
473	#388	C₂³	1	4	yes	—
474	#388	C₂³	1	4	yes	—
475	#388	C₂³	1	4	yes	complemented
476	#388	C₂³	1	4	yes	complemented
477	#388	C₂³	1	4	yes	complemented
478	#388	C₂³	1	4	yes	complemented
479	#388	C₂³	1	4	yes	complemented
480	#388	C₂³	1	4	yes	complemented
481	#388	C₂³	1	4	yes	complemented
482	#388	C₂³	1	4	yes	complemented
483	#388	C₂³	1	4	yes	complemented
484	#388	C₂³	1	4	yes	complemented
485	#388	C₂³	1	4	yes	complemented
486	#388	C₂³	1	4	yes	complemented
487	#388	C₂³	1	4	yes	complemented
488	#388	C₂³	1	4	yes	complemented
489	#387	C₂³	1	4	yes	complemented
490	#387	C₂³	1	4	yes	complemented
491	#387	C₂³	1	4	yes	complemented
492	#387	C₂³	1	4	yes	complemented
493	#387	C₂³	1	4	yes	complemented
494	#387	C₂³	1	4	yes	complemented
495	#387	C₂³	1	4	yes	complemented
496	#387	C₂³	1	4	yes	complemented
497	#387	C₂³	1	4	yes	complemented
498	#387	C₂³	1	4	yes	complemented
499	#387	C₂³	1	4	yes	complemented
500	#387	C₂³	1	4	yes	complemented
501	#387	C₂³	1	4	yes	complemented
502	#387	C₂³	1	4	yes	complemented
503	#387	C₂³	1	4	yes	complemented
504	#387	C₂³	1	4	yes	complemented
505	#386	C₂³	1	4	yes	—
506	#386	C₂³	1	4	yes	—
507	#386	C₂³	1	4	yes	—
508	#386	C₂³	1	2	yes	—
509	#386	C₂³	1	2	yes	—
510	#386	C₂³	1	2	yes	—
511	#386	C₂³	1	2	yes	—
512	#386	C₂³	1	4	yes	—
513	#386	C₂³	1	4	yes	—
514	#386	C₂³	1	4	yes	—
515	#386	C₂³	1	4	yes	—
516	#386	C₂³	1	4	yes	—
517	#386	C₂³	1	4	yes	—
518	#386	C₂³	1	4	yes	—
519	#386	C₂³	1	4	yes	—
520	#386	C₂³	1	4	yes	—
521	#386	C₂³	1	4	yes	—
522	#386	C₂³	1	4	yes	—
523	#386	C₂³	1	4	yes	—
524	#386	C₂³	1	4	yes	—
525	#386	C₂³	1	4	yes	—
526	#386	C₂³	1	4	yes	—
527	#386	C₂³	1	4	yes	—
528	#386	C₂³	1	4	yes	—
529	#386	C₂³	1	4	yes	—
530	#386	C₂³	1	4	yes	—
531	#386	C₂³	1	4	yes	—
532	#386	C₂³	1	4	yes	—
533	#386	C₂³	1	4	yes	—
534	#386	C₂³	1	4	yes	—
535	#386	C₂³	1	4	yes	—
536	#386	C₂³	1	4	yes	complemented
537	#386	C₂³	1	4	yes	complemented
538	#386	C₂³	1	4	yes	complemented
539	#386	C₂³	1	4	yes	complemented
540	#386	C₂³	1	4	yes	complemented
541	#386	C₂³	1	4	yes	complemented
542	#386	C₂³	1	4	yes	complemented
543	#385	C₂³	1	2	yes	—
544	#385	C₂³	1	2	yes	—
545	#385	C₂³	1	4	yes	—
546	#385	C₂³	1	4	yes	—
547	#385	C₂³	1	2	yes	—
548	#385	C₂³	1	2	yes	—
549	#385	C₂³	1	4	yes	—
550	#385	C₂³	1	4	yes	—
551	#385	C₂³	1	4	yes	—
552	#385	C₂³	1	4	yes	—
553	#385	C₂³	1	4	yes	—
554	#385	C₂³	1	4	yes	—
555	#385	C₂³	1	4	yes	—
556	#385	C₂³	1	4	yes	—
557	#385	C₂³	1	4	yes	complemented
558	#385	C₂³	1	4	yes	complemented
559	#385	C₂³	1	4	yes	complemented
560	#385	C₂³	1	4	yes	complemented
561	#385	C₂³	1	4	yes	complemented
562	#385	C₂³	1	4	yes	complemented
563	#384	C₂³	1	4	yes	complemented
564	#383	C₂³	1	4	yes	complemented
565	#383	C₂³	1	4	yes	complemented
566	#383	C₂³	1	4	yes	complemented
567	#381	C₂³	1	4	yes	—
568	#381	C₂³	1	4	yes	—
569	#381	C₂³	1	2	yes	—
570	#381	C₂³	1	4	yes	—
571	#381	C₂³	1	2	yes	—
572	#381	C₂³	1	1	yes	characteristic
573	#381	C₂³	1	1	yes	characteristic
574	#381	C₂³	1	4	yes	—
575	#381	C₂³	1	4	yes	—
576	#381	C₂³	1	2	yes	—
577	#381	C₂³	1	2	yes	—
578	#381	C₂³	1	4	yes	complemented
579	#381	C₂³	1	4	yes	complemented
580	#381	C₂³	1	4	yes	complemented
581	#380	C₂³	1	2	yes	—
582	#380	C₂³	1	2	yes	—
583	#380	C₂³	1	4	yes	—
584	#380	C₂³	1	2	yes	—
585	#380	C₂³	1	2	yes	—
586	#380	C₂³	1	4	yes	—
587	#380	C₂³	1	4	yes	—
588	#380	C₂³	1	4	yes	complemented
589	#380	C₂³	1	4	yes	complemented
590	#380	C₂³	1	4	yes	complemented
591	#379	C₂³	1	4	yes	—
592	#379	C₂³	1	4	yes	—
593	#379	C₂³	1	4	yes	—
594	#379	C₂³	1	4	yes	—
595	#379	C₂³	1	1	yes	characteristic
596	#379	C₂³	1	1	yes	characteristic
597	#379	C₂³	1	2	yes	—
598	#379	C₂³	1	2	yes	—
599	#379	C₂³	1	4	yes	—
600	#379	C₂³	1	4	yes	—
601	#379	C₂³	1	2	yes	—
602	#379	C₂³	1	4	yes	—
603	#379	C₂³	1	2	yes	—
604	#379	C₂³	1	2	yes	—
605	#379	C₂³	1	2	yes	—
606	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
607	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
608	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
609	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
610	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
611	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
612	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
613	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
614	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
615	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
616	#376	C₂³	1	4	yes	complemented
617	C₂×#95	C₂³	1	4	yes	complemented
618	C₂⁵	—	2	4	no	—
619	C₂⁵	—	4	2	no	—
620	C₂⁵	—	4	2	no	—
621	C₂⁵	—	8	4	no	—
622	C₂⁵	C₂⁴	1	1	yes	characteristic
623	C₂⁵	C₂⁴	1	2	yes	—
624	C₂⁵	C₂⁴	1	2	yes	—
625	C₂⁵	C₂⁴	1	1	yes	characteristic
626	C₂⁵	C₂⁴	1	1	yes	characteristic
627	C₂⁵	C₂⁴	1	1	yes	characteristic
628	C₂×#41	—	4	4	no	—
629	C₂×#41	—	4	4	no	—
630	C₂×#41	—	8	4	no	—
631	C₂×#41	—	8	4	no	—
632	C₂²×Q₈	C₂⁴	1	4	yes	—
633	C₂²×Q₈	C₂⁴	1	2	yes	—
634	C₂²×Q₈	C₂⁴	1	2	yes	—
635	C₂²×Q₈	C₂⁴	1	2	yes	—
636	C₂²×D₄	—	4	2	no	—
637	C₂²×D₄	—	4	4	no	—
638	C₂²×D₄	—	4	2	no	—
639	C₂²×D₄	—	4	2	no	—
640	C₂²×D₄	—	8	4	no	—
641	C₂²×D₄	C₂⁴	1	4	yes	—
642	C₂²×D₄	C₂⁴	1	4	yes	—
643	C₂²×D₄	C₂⁴	1	4	yes	—
644	C₂²×D₄	C₂⁴	1	4	yes	—
645	C₂²×D₄	C₂⁴	1	4	yes	—
646	C₂²×D₄	C₂⁴	1	4	yes	—
647	C₂²×D₄	C₂⁴	1	2	yes	—
648	C₂²×D₄	C₂⁴	1	2	yes	—
649	C₂²×D₄	C₂⁴	1	2	yes	—
650	C₂²×D₄	C₂⁴	1	4	yes	—
651	C₂²×D₄	C₂⁴	1	4	yes	—
652	C₂²×D₄	C₂⁴	1	4	yes	—
653	C₂²×D₄	C₂⁴	1	4	yes	—
654	C₂²×D₄	C₂⁴	1	4	yes	—
655	C₂²×D₄	C₂⁴	1	2	yes	—
656	C₂²×D₄	C₂⁴	1	2	yes	—
657	C₂³×C₄	—	2	8	no	—
658	C₂³×C₄	—	8	4	no	—
659	C₂³×C₄	C₂⁴	1	2	yes	—
660	C₂³×C₄	C₂⁴	1	2	yes	—
661	C₂³×C₄	C₂⁴	1	2	yes	—
662	C₂³×C₄	C₂⁴	1	2	yes	—
663	C₂³×C₄	C₂⁴	1	2	yes	—
664	C₂³×C₄	C₂⁴	1	1	yes	characteristic
665	C₂³×C₄	C₂⁴	1	2	yes	—
666	C₂³×C₄	C₂⁴	1	2	yes	—
667	C₂³×C₄	C₂⁴	1	2	yes	—
668	C₂³×C₄	C₂⁴	1	2	yes	—
669	C₂³×C₄	C₂⁴	1	2	yes	—
670	C₂³×C₄	C₂⁴	1	2	yes	—
671	C₂³×C₄	C₂⁴	1	4	yes	—
672	C₂³×C₄	C₂⁴	1	4	yes	—
673	C₂³×C₄	C₂⁴	1	4	yes	—
674	#127	—	4	4	no	—
675	#127	—	4	4	no	—
676	#126	—	4	8	no	—
677	#124	—	4	8	no	—
678	#124	—	8	4	no	—
679	#124	—	8	4	no	—
680	#124	—	8	4	no	—
681	#123	—	4	4	no	—
682	#123	—	4	8	no	—
683	#123	—	4	4	no	—
684	#123	—	4	8	no	—
685	#123	—	8	4	no	—
686	#123	—	8	4	no	—
687	#123	—	8	4	no	—
688	#123	—	8	4	no	—
689	#123	—	8	4	no	—
690	C₂²⋊Q₈	—	4	4	no	—
691	C₂²⋊Q₈	—	4	4	no	—
692	C₂²⋊Q₈	—	4	4	no	—
693	C₂²⋊Q₈	—	8	4	no	—
694	C₂²⋊Q₈	—	8	4	no	—
695	C₂²⋊Q₈	—	8	4	no	—
696	C₂²⋊Q₈	—	8	4	no	—
697	#121	—	4	8	no	—
698	#121	—	4	8	no	—
699	#121	—	4	8	no	—
700	#121	—	4	4	no	—
701	#121	—	4	4	no	—
702	#121	—	4	4	no	—
703	#121	—	8	4	no	—
704	#121	—	8	4	no	—
705	#121	—	8	4	no	—
706	#120	—	2	8	no	—
707	#120	—	2	16	no	—
708	#120	—	4	8	no	—
709	#120	—	4	4	no	—
710	#120	—	4	8	no	—
711	#120	—	4	8	no	—
712	#120	—	8	4	no	—
713	#120	—	8	4	no	—
714	#120	—	8	4	no	—
715	#120	—	8	4	no	—
716	#120	—	8	4	no	—
717	C₄×Q₈	—	8	4	no	—
718	C₄×D₄	—	4	8	no	—
719	C₄×D₄	—	4	8	no	—
720	C₄×D₄	—	8	4	no	—
721	C₄×D₄	—	8	4	no	—
722	#117	—	4	4	no	—
723	#117	—	8	4	no	—
724	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
725	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
726	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
727	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
728	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
729	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
730	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
731	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
732	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
733	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
734	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
735	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
736	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
737	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
738	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
739	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
740	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
741	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
742	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
743	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
744	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
745	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
746	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
747	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
748	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
749	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
750	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
751	C₂×C₂²⋊C₄	—	4	4	no	—
752	C₂×C₂²⋊C₄	—	4	2	no	—
753	C₂×C₂²⋊C₄	—	4	4	no	—
754	C₂×C₂²⋊C₄	—	4	2	no	—
755	C₂×C₂²⋊C₄	—	4	4	no	—
756	C₂×C₂²⋊C₄	—	4	4	no	—
757	C₂×C₂²⋊C₄	—	4	4	no	—
758	C₂×C₂²⋊C₄	—	4	4	no	—
759	C₂×C₂²⋊C₄	—	4	2	no	—
760	C₂×C₂²⋊C₄	—	4	4	no	—
761	C₂×C₂²⋊C₄	—	4	2	no	—
762	C₂×C₂²⋊C₄	—	4	2	no	—
763	C₂×C₂²⋊C₄	—	8	4	no	—
764	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
765	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
766	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
767	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
768	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
769	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
770	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
771	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
772	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
773	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
774	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
775	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
776	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
777	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
778	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
779	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
780	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
781	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
782	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
783	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
784	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
785	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
786	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
787	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
788	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
789	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
790	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
791	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
792	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
793	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
795	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
796	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
797	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
798	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
799	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
800	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
801	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
802	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
803	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
804	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
805	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
806	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
807	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
810	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
812	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
813	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
814	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
815	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
816	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
817	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
818	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
819	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
820	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
821	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
822	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
823	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
824	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
825	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
826	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
827	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
828	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
829	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
830	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
831	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
832	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
833	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
834	C₂×C₄²	C₂⁴	1	4	yes	—
835	C₂×C₄²	C₂⁴	1	4	yes	—
836	C₂×C₄²	C₂⁴	1	4	yes	—
837	C₂×C₄²	C₂⁴	1	4	yes	—
838	C₂×C₄²	C₂⁴	1	4	yes	—
839	C₂×C₄²	C₂⁴	1	4	yes	—
840	C₂×C₄²	C₂⁴	1	4	yes	—
841	C₂×C₄²	C₂⁴	1	2	yes	—
842	C₂×C₄²	C₂⁴	1	2	yes	—
843	#95	C₂⁴	1	2	yes	—
844	#95	C₂⁴	1	4	yes	—
845	#95	C₂⁴	1	4	yes	—
846	#95	C₂⁴	1	4	yes	—
847	#95	C₂⁴	1	4	yes	—
848	#95	C₂⁴	1	4	yes	—
849	#95	C₂⁴	1	4	yes	—
850	#95	C₂⁴	1	4	yes	—
851	#95	C₂⁴	1	4	yes	—
852	#95	C₂⁴	1	2	yes	—
853	#95	C₂⁴	1	4	yes	—
854	#95	C₂⁴	1	4	yes	—
855	#95	C₂⁴	1	2	yes	—
856	#95	C₂⁴	1	2	yes	—
857	#95	C₂⁴	1	2	yes	—
858	#95	C₂⁴	1	2	yes	—
859	#95	C₂⁴	1	4	yes	—
860	#95	C₂⁴	1	4	yes	—
861	#95	C₂⁴	1	4	yes	—
862	#95	C₂⁴	1	4	yes	—
863	#95	C₂⁴	1	4	yes	—
864	#95	C₂⁴	1	4	yes	—
865	#95	C₂⁴	1	4	yes	—
866	#95	C₂⁴	1	4	yes	—
867	#95	C₂⁴	1	4	yes	—
868	#95	C₂⁴	1	4	yes	—
869	#95	C₂⁴	1	4	yes	—
870	#95	C₂⁴	1	4	yes	—
871	#95	C₂⁴	1	4	yes	—
872	#95	C₂⁴	1	4	yes	—
873	#95	C₂⁴	1	4	yes	—
874	#95	C₂⁴	1	4	yes	—
875	#95	C₂⁴	1	4	yes	—
876	#95	C₂⁴	1	4	yes	—
877	#95	C₂⁴	1	4	yes	—
878	#95	C₂⁴	1	4	yes	—
879	#95	C₂⁴	1	4	yes	—
880	#95	C₂⁴	1	2	yes	—
881	#95	C₂⁴	1	2	yes	—
882	#95	C₂⁴	1	4	yes	—
883	#95	C₂⁴	1	4	yes	—
884	#95	C₂⁴	1	4	yes	—
885	#95	C₂⁴	1	4	yes	—
886	#95	C₂⁴	1	4	yes	—
887	#95	C₂⁴	1	4	yes	—
888	#95	C₂⁴	1	4	yes	—
889	#95	C₂⁴	1	4	yes	—
890	#95	C₂⁴	1	4	yes	—
891	C₂⁴	—	2	2	no	—
892	C₂⁴	—	2	2	no	—
893	C₂⁴	—	2	2	no	—
894	C₂⁴	—	2	4	no	—
895	C₂⁴	—	2	4	no	—
896	C₂⁴	—	2	2	no	—
897	C₂⁴	—	2	4	no	—
898	C₂⁴	—	2	4	no	—
899	C₂⁴	—	2	2	no	—
900	C₂⁴	—	4	4	no	—
901	C₂⁴	—	4	1	no	—
902	C₂⁴	—	4	1	no	—
903	C₂⁴	—	4	4	no	—
904	C₂⁴	—	4	4	no	—
905	C₂⁴	—	4	2	no	—
906	C₂⁴	—	4	2	no	—
907	C₂⁴	—	4	1	no	—
908	C₂⁴	—	4	1	no	—
909	C₂⁴	—	4	4	no	—
910	C₂⁴	—	4	4	no	—
911	C₂⁴	—	4	4	no	—
912	C₂⁴	—	4	4	no	—
913	C₂⁴	—	4	1	no	—
914	C₂⁴	—	4	4	no	—
915	C₂⁴	—	4	1	no	—
916	C₂⁴	—	4	16	no	—
917	C₂⁴	—	8	16	no	—
918	C₂⁴	—	8	16	no	—
919	C₂⁴	—	8	16	no	—
920	C₂⁴	H(5,𝔽₂)	1	4	yes	—
921	C₂⁴	C₂⁵	1	2	yes	—
922	C₂⁴	C₂⁵	1	2	yes	—
923	C₂⁴	C₂⁵	1	4	yes	—
924	C₂⁴	C₂⁵	1	2	yes	—
925	C₂⁴	C₂⁵	1	1	yes	characteristic
926	C₂⁴	C₂⁵	1	1	yes	characteristic
927	C₂⁴	C₂⁵	1	1	yes	characteristic
928	#41	—	8	16	no	—
929	#41	—	8	16	no	—
930	C₂×Q₈	—	4	4	no	—
931	C₂×Q₈	—	4	2	no	—
932	C₂×Q₈	—	4	4	no	—
933	C₂×Q₈	—	4	4	no	—
934	C₂×Q₈	—	4	4	no	—
935	C₂×Q₈	—	4	4	no	—
936	C₂×Q₈	—	4	2	no	—
937	C₂×Q₈	—	4	2	no	—
938	C₂×Q₈	—	4	4	no	—
939	C₂×D₄	—	2	8	no	—
940	C₂×D₄	—	2	8	no	—
941	C₂×D₄	—	2	8	no	—
942	C₂×D₄	—	2	4	no	—
943	C₂×D₄	—	2	8	no	—
944	C₂×D₄	—	2	8	no	—
945	C₂×D₄	—	2	8	no	—
946	C₂×D₄	—	2	4	no	—
947	C₂×D₄	—	4	4	no	—
948	C₂×D₄	—	4	2	no	—
949	C₂×D₄	—	4	4	no	—
950	C₂×D₄	—	4	2	no	—
951	C₂×D₄	—	4	4	no	—
952	C₂×D₄	—	4	4	no	—
953	C₂×D₄	—	4	4	no	—
954	C₂×D₄	—	4	4	no	—
955	C₂×D₄	—	4	4	no	—
956	C₂×D₄	—	4	4	no	—
957	C₂×D₄	—	4	4	no	—
958	C₂×D₄	—	4	4	no	—
959	C₂×D₄	—	4	4	no	—
960	C₂×D₄	—	4	4	no	—
961	C₂×D₄	—	4	2	no	—
962	C₂×D₄	—	4	4	no	—
963	C₂×D₄	—	4	4	no	—
964	C₂×D₄	—	4	4	no	—
965	C₂×D₄	—	4	4	no	—
966	C₂×D₄	—	4	4	no	—
967	C₂×D₄	—	4	2	no	—
968	C₂×D₄	—	4	2	no	—
969	C₂×D₄	—	4	2	no	—
970	C₂×D₄	—	4	4	no	—
971	C₂×D₄	—	4	4	no	—
972	C₂×D₄	—	4	4	no	—
973	C₂×D₄	—	4	4	no	—
974	C₂×D₄	—	4	4	no	—
975	C₂×D₄	—	4	4	no	—
976	C₂×D₄	—	4	4	no	—
977	C₂×D₄	—	4	4	no	—
978	C₂×D₄	—	4	4	no	—
979	C₂×D₄	—	4	2	no	—
980	C₂×D₄	—	4	2	no	—
981	C₂×D₄	—	4	4	no	—
982	C₂×D₄	—	4	4	no	—
983	C₂×D₄	—	4	4	no	—
984	C₂×D₄	—	4	2	no	—
985	C₂×D₄	—	8	8	no	—
986	C₂×D₄	—	8	16	no	—
987	C₂²×C₄	—	2	4	no	—
988	C₂²×C₄	—	2	4	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	2	no	—
995	C₂²×C₄	—	4	4	no	—
996	C₂²×C₄	—	4	4	no	—
997	C₂²×C₄	—	4	1	no	—
998	C₂²×C₄	—	4	2	no	—
999	C₂²×C₄	—	4	4	no	—
1000	C₂²×C₄	—	4	4	no	—
1001	C₂²×C₄	—	4	4	no	—
1002	C₂²×C₄	—	4	4	no	—
1003	C₂²×C₄	—	4	4	no	—
1004	C₂²×C₄	—	4	4	no	—
1005	C₂²×C₄	—	4	4	no	—
1006	C₂²×C₄	—	4	4	no	—
1007	C₂²×C₄	—	4	4	no	—
1008	C₂²×C₄	—	4	4	no	—
1009	C₂²×C₄	—	4	4	no	—
1010	C₂²×C₄	—	4	1	no	—
1011	C₂²×C₄	—	4	4	no	—
1012	C₂²×C₄	—	4	2	no	—
1013	C₂²×C₄	—	4	2	no	—
1014	C₂²×C₄	—	4	2	no	—
1015	C₂²×C₄	—	4	4	no	—
1016	C₂²×C₄	—	4	4	no	—
1017	C₂²×C₄	—	4	2	no	—
1018	C₂²×C₄	—	4	4	no	—
1019	C₂²×C₄	—	4	4	no	—
1020	C₂²×C₄	—	4	4	no	—
1021	C₂²×C₄	—	4	2	no	—
1022	C₂²×C₄	—	8	16	no	—
1023	C₂²×C₄	C₂⁵	1	4	yes	—
1024	C₂²×C₄	C₂⁵	1	2	yes	—
1025	C₂²×C₄	C₂⁵	1	2	yes	—
1026	C₂²×C₄	C₂⁵	1	4	yes	—
1027	C₂²×C₄	C₂⁵	1	2	yes	—
1028	C₂²×C₄	C₂⁵	1	2	yes	—
1029	C₂²×C₄	C₂⁵	1	2	yes	—
1030	C₂²×C₄	C₂⁵	1	4	yes	—
1031	C₂²×C₄	C₂⁵	1	4	yes	—
1032	C₂²×C₄	C₂⁵	1	4	yes	—
1033	C₂²×C₄	C₂⁵	1	4	yes	—
1034	C₂²×C₄	C₂⁵	1	4	yes	—
1035	C₂²×C₄	C₂⁵	1	4	yes	—
1036	C₂²×C₄	C₂⁵	1	2	yes	—
1037	C₂²×C₄	C₂⁵	1	2	yes	—
1038	C₂²×C₄	C₂⁵	1	4	yes	—
1039	C₄⋊C₄	—	4	2	no	—
1040	C₄⋊C₄	—	4	2	no	—
1041	C₄⋊C₄	—	4	4	no	—
1042	C₄⋊C₄	—	4	4	no	—
1043	C₄⋊C₄	—	4	4	no	—
1044	C₄⋊C₄	—	4	4	no	—
1045	C₄⋊C₄	—	4	4	no	—
1046	C₄⋊C₄	—	4	4	no	—
1047	C₄⋊C₄	—	4	4	no	—
1048	C₄⋊C₄	—	4	4	no	—
1049	C₄⋊C₄	—	4	4	no	—
1050	C₄⋊C₄	—	4	2	no	—
1051	C₄⋊C₄	—	4	4	no	—
1052	C₄⋊C₄	—	4	4	no	—
1053	C₄⋊C₄	—	4	4	no	—
1054	C₄⋊C₄	—	4	4	no	—
1055	C₄⋊C₄	—	4	4	no	—
1056	C₄⋊C₄	—	4	4	no	—
1057	C₄⋊C₄	—	4	2	no	—
1058	C₄⋊C₄	—	4	4	no	—
1059	C₄⋊C₄	—	4	4	no	—
1060	C₄⋊C₄	—	4	4	no	—
1061	C₄⋊C₄	—	4	4	no	—
1062	C₄⋊C₄	—	4	4	no	—
1063	C₄⋊C₄	—	4	4	no	—
1064	C₄⋊C₄	—	4	4	no	—
1065	C₄⋊C₄	—	4	4	no	—
1066	C₂²⋊C₄	—	2	8	no	—
1067	C₂²⋊C₄	—	2	4	no	—
1068	C₂²⋊C₄	—	2	8	no	—
1069	C₂²⋊C₄	—	2	8	no	—
1070	C₂²⋊C₄	—	2	8	no	—
1071	C₂²⋊C₄	—	2	8	no	—
1072	C₂²⋊C₄	—	2	4	no	—
1073	C₂²⋊C₄	—	2	8	no	—
1074	C₂²⋊C₄	—	4	1	no	—
1075	C₂²⋊C₄	—	4	2	no	—
1076	C₂²⋊C₄	—	4	2	no	—
1077	C₂²⋊C₄	—	4	2	no	—
1078	C₂²⋊C₄	—	4	1	no	—
1079	C₂²⋊C₄	—	4	1	no	—
1080	C₂²⋊C₄	—	4	2	no	—
1081	C₂²⋊C₄	—	4	2	no	—
1082	C₂²⋊C₄	—	4	2	no	—
1083	C₂²⋊C₄	—	4	1	no	—
1084	C₂²⋊C₄	—	4	4	no	—
1085	C₂²⋊C₄	—	4	2	no	—
1086	C₂²⋊C₄	—	4	1	no	—
1087	C₂²⋊C₄	—	4	2	no	—
1088	C₂²⋊C₄	—	4	1	no	—
1089	C₂²⋊C₄	—	4	4	no	—
1090	C₂²⋊C₄	—	4	2	no	—
1091	C₂²⋊C₄	—	4	4	no	—
1092	C₂²⋊C₄	—	4	4	no	—
1093	C₂²⋊C₄	—	4	4	no	—
1094	C₂²⋊C₄	—	4	4	no	—
1095	C₂²⋊C₄	—	4	4	no	—
1096	C₂²⋊C₄	—	4	4	no	—
1097	C₂²⋊C₄	—	4	4	no	—
1098	C₂²⋊C₄	—	4	4	no	—
1099	C₂²⋊C₄	—	4	4	no	—
1100	C₂²⋊C₄	—	4	4	no	—
1101	C₂²⋊C₄	—	4	4	no	—
1102	C₂²⋊C₄	—	4	4	no	—
1103	C₂²⋊C₄	—	4	4	no	—
1104	C₂²⋊C₄	—	4	4	no	—
1105	C₂²⋊C₄	—	4	4	no	—
1106	C₂²⋊C₄	—	4	4	no	—
1107	C₂²⋊C₄	—	4	4	no	—
1108	C₂²⋊C₄	—	4	4	no	—
1109	C₂²⋊C₄	—	4	4	no	—
1110	C₂²⋊C₄	—	4	4	no	—
1111	C₂²⋊C₄	—	4	4	no	—
1112	C₂²⋊C₄	—	4	4	no	—
1113	C₂²⋊C₄	—	4	4	no	—
1114	C₂²⋊C₄	—	4	4	no	—
1115	C₂²⋊C₄	—	4	4	no	—
1116	C₂²⋊C₄	—	4	4	no	—
1117	C₂²⋊C₄	—	4	4	no	—
1118	C₂²⋊C₄	—	4	4	no	—
1119	C₂²⋊C₄	—	4	4	no	—
1120	C₂²⋊C₄	—	4	2	no	—
1121	C₂²⋊C₄	—	4	4	no	—
1122	C₂²⋊C₄	—	4	4	no	—
1123	C₂²⋊C₄	—	4	4	no	—
1124	C₂²⋊C₄	—	4	4	no	—
1125	C₂²⋊C₄	—	4	4	no	—
1126	C₂²⋊C₄	—	4	4	no	—
1127	C₂²⋊C₄	—	4	4	no	—
1128	C₂²⋊C₄	—	4	2	no	—
1129	C₂²⋊C₄	—	4	4	no	—
1130	C₂²⋊C₄	—	4	4	no	—
1131	C₂²⋊C₄	—	4	4	no	—
1132	C₂²⋊C₄	—	4	4	no	—
1133	C₂²⋊C₄	—	4	4	no	—
1134	C₂²⋊C₄	—	4	4	no	—
1135	C₂²⋊C₄	—	4	4	no	—
1136	C₄²	—	4	4	no	—
1137	C₄²	—	4	4	no	—
1138	C₄²	—	4	4	no	—
1139	C₄²	—	4	4	no	—
1140	C₄²	—	4	4	no	—
1141	C₄²	—	4	4	no	—
1142	C₄²	—	4	4	no	—
1143	C₄²	—	4	2	no	—
1144	C₄²	—	4	2	no	—
1145	C₂³	—	2	8	no	—
1146	C₂³	—	2	1	no	—
1147	C₂³	—	2	1	no	—
1148	C₂³	—	2	1	no	—
1149	C₂³	—	2	1	no	—
1150	C₂³	—	2	1	no	—
1151	C₂³	—	2	2	no	—
1152	C₂³	—	2	2	no	—
1153	C₂³	—	2	1	no	—
1154	C₂³	—	2	4	no	—
1155	C₂³	—	2	4	no	—
1156	C₂³	—	2	4	no	—
1157	C₂³	—	2	4	no	—
1158	C₂³	—	2	4	no	—
1159	C₂³	—	2	2	no	—
1160	C₂³	—	2	4	no	—
1161	C₂³	—	2	2	no	—
1162	C₂³	—	2	4	no	—
1163	C₂³	—	2	2	no	—
1164	C₂³	—	2	2	no	—
1165	C₂³	—	2	2	no	—
1166	C₂³	—	2	2	no	—
1167	C₂³	—	2	4	no	—
1168	C₂³	—	2	4	no	—
1169	C₂³	—	2	4	no	—
1170	C₂³	—	2	4	no	—
1171	C₂³	—	2	4	no	—
1172	C₂³	—	2	4	no	—
1173	C₂³	—	2	4	no	—
1174	C₂³	—	2	4	no	—
1175	C₂³	—	2	4	no	—
1176	C₂³	—	4	8	no	—
1177	C₂³	—	4	4	no	—
1178	C₂³	—	4	8	no	—
1179	C₂³	—	4	8	no	—
1180	C₂³	—	4	8	no	—
1181	C₂³	—	4	4	no	—
1182	C₂³	—	4	8	no	—
1183	C₂³	—	4	8	no	—
1184	C₂³	—	4	8	no	—
1185	C₂³	—	8	4	no	—
1186	C₂³	—	8	8	no	—
1187	C₂³	—	8	4	no	—
1188	C₂³	—	8	8	no	—
1189	C₂³	—	8	4	no	—
1190	C₂³	—	8	4	no	—
1191	C₂³	—	8	4	no	—
1192	C₂³	—	8	4	no	—
1193	C₂³	—	8	2	no	—
1194	C₂³	—	8	4	no	—
1195	C₂³	—	8	8	no	—
1196	C₂³	—	8	4	no	—
1197	C₂³	—	8	8	no	—
1198	C₂³	—	8	4	no	—
1199	C₂³	—	8	4	no	—
1200	C₂³	—	8	64	no	—
1201	C₂³	—	16	2	no	—
1202	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1203	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1204	C₂³	#585	1	2	yes	—
1205	C₂³	#585	1	2	yes	—
1206	C₂³	C₂⁶	1	1	yes	characteristic
1207	Q₈	—	8	8	no	—
1208	Q₈	—	8	4	no	—
1209	Q₈	—	8	4	no	—
1210	Q₈	—	16	2	no	—
1211	D₄	—	4	8	no	—
1212	D₄	—	8	8	no	—
1213	D₄	—	8	8	no	—
1214	D₄	—	8	8	no	—
1215	D₄	—	8	4	no	—
1216	D₄	—	8	4	no	—
1217	D₄	—	8	8	no	—
1218	D₄	—	8	8	no	—
1219	D₄	—	8	8	no	—
1220	D₄	—	8	8	no	—
1221	D₄	—	8	4	no	—
1222	D₄	—	16	4	no	—
1223	D₄	—	16	4	no	—
1224	D₄	—	16	4	no	—
1225	D₄	—	16	2	no	—
1226	D₄	—	16	4	no	—
1227	C₂×C₄	—	2	4	no	—
1228	C₂×C₄	—	2	2	no	—
1229	C₂×C₄	—	2	4	no	—
1230	C₂×C₄	—	2	2	no	—
1231	C₂×C₄	—	2	4	no	—
1232	C₂×C₄	—	2	4	no	—
1233	C₂×C₄	—	2	2	no	—
1234	C₂×C₄	—	2	2	no	—
1235	C₂×C₄	—	2	2	no	—
1236	C₂×C₄	—	2	4	no	—
1237	C₂×C₄	—	2	4	no	—
1238	C₂×C₄	—	2	4	no	—
1239	C₂×C₄	—	2	4	no	—
1240	C₂×C₄	—	2	2	no	—
1241	C₂×C₄	—	2	4	no	—
1242	C₂×C₄	—	2	4	no	—
1243	C₂×C₄	—	2	4	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	2	no	—
1246	C₂×C₄	—	2	2	no	—
1247	C₂×C₄	—	2	4	no	—
1248	C₂×C₄	—	2	4	no	—
1249	C₂×C₄	—	2	4	no	—
1250	C₂×C₄	—	2	4	no	—
1251	C₂×C₄	—	2	4	no	—
1252	C₂×C₄	—	2	4	no	—
1253	C₂×C₄	—	2	4	no	—
1254	C₂×C₄	—	2	4	no	—
1255	C₂×C₄	—	2	4	no	—
1256	C₂×C₄	—	2	4	no	—
1257	C₂×C₄	—	2	4	no	—
1258	C₂×C₄	—	2	4	no	—
1259	C₂×C₄	—	2	4	no	—
1260	C₂×C₄	—	2	4	no	—
1261	C₂×C₄	—	2	4	no	—
1262	C₂×C₄	—	2	4	no	—
1263	C₂×C₄	—	2	4	no	—
1264	C₂×C₄	—	2	4	no	—
1265	C₂×C₄	—	2	4	no	—
1266	C₂×C₄	—	2	4	no	—
1267	C₂×C₄	—	2	4	no	—
1268	C₂×C₄	—	2	4	no	—
1269	C₂×C₄	—	4	8	no	—
1270	C₂×C₄	—	4	8	no	—
1271	C₂×C₄	—	8	4	no	—
1272	C₂×C₄	—	8	4	no	—
1273	C₂×C₄	—	8	4	no	—
1274	C₂×C₄	—	8	4	no	—
1275	C₂×C₄	—	8	2	no	—
1276	C₂×C₄	—	8	4	no	—
1277	C₂×C₄	—	8	4	no	—
1278	C₂×C₄	—	8	8	no	—
1279	C₂×C₄	—	8	8	no	—
1280	C₂×C₄	—	16	2	no	—
1281	C₂×C₄	—	16	2	no	—
1282	C₂×C₄	—	16	2	no	—
1283	C₂×C₄	—	16	4	no	—
1284	C₂²	—	2	4	no	—
1285	C₂²	—	2	4	no	—
1286	C₂²	—	2	2	no	—
1287	C₂²	—	2	2	no	—
1288	C₂²	—	2	2	no	—
1289	C₂²	—	2	4	no	—
1290	C₂²	—	2	4	no	—
1291	C₂²	—	2	4	no	—
1292	C₂²	—	2	4	no	—
1293	C₂²	—	4	16	no	—
1294	C₂²	—	4	2	no	—
1295	C₂²	—	4	2	no	—
1296	C₂²	—	4	4	no	—
1297	C₂²	—	4	2	no	—
1298	C₂²	—	4	4	no	—
1299	C₂²	—	4	2	no	—
1300	C₂²	—	4	2	no	—
1301	C₂²	—	4	2	no	—
1302	C₂²	—	4	2	no	—
1303	C₂²	—	4	4	no	—
1304	C₂²	—	4	4	no	—
1305	C₂²	—	4	4	no	—
1306	C₂²	—	4	2	no	—
1307	C₂²	—	4	4	no	—
1308	C₂²	—	4	4	no	—
1309	C₂²	—	4	4	no	—
1310	C₂²	—	4	4	no	—
1311	C₂²	—	4	2	no	—
1312	C₂²	—	4	4	no	—
1313	C₂²	—	4	2	no	—
1314	C₂²	—	4	4	no	—
1315	C₂²	—	4	4	no	—
1316	C₂²	—	4	4	no	—
1317	C₂²	—	4	2	no	—
1318	C₂²	—	4	2	no	—
1319	C₂²	—	8	8	no	—
1320	C₂²	—	8	16	no	—
1321	C₂²	—	8	16	no	—
1322	C₂²	—	8	8	no	—
1323	C₂²	—	16	4	no	—
1324	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1325	C₂²	C₂×#585	1	1	yes	characteristic
1326	C₂²	C₂×#585	1	1	yes	characteristic
1327	C₂²	H(7,𝔽₂)	1	4	yes	—
1328	C₄	—	4	4	no	—
1329	C₄	—	4	4	no	—
1330	C₄	—	4	4	no	—
1331	C₄	—	4	2	no	—
1332	C₄	—	4	2	no	—
1333	C₄	—	4	4	no	—
1334	C₄	—	4	4	no	—
1335	C₄	—	4	2	no	—
1336	C₄	—	4	4	no	—
1337	C₄	—	4	2	no	—
1338	C₄	—	4	2	no	—
1339	C₄	—	4	2	no	—
1340	C₄	—	4	2	no	—
1341	C₄	—	4	4	no	—
1342	C₄	—	4	4	no	—
1343	C₄	—	4	4	no	—
1344	C₂	—	4	2	no	—
1345	C₂	—	4	4	no	—
1346	C₂	—	4	2	no	—
1347	C₂	—	4	2	no	—
1348	C₂	—	8	4	no	—
1349	C₂	—	8	2	no	—
1350	C₂	—	8	2	no	—
1351	C₂	#62820	1	1	yes	characteristic
1352	C₂	#62862	1	2	yes	—
1353	C₂	#63042	1	2	yes	—
1354	C₂	#63046	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. #57992	C₂	semidirect
2. #57594	C₂	semidirect
3. #56660	C₂	semidirect
4. #56545	C₂	semidirect
5. #56343	C₂	semidirect
6. #54191	C₂	semidirect
7. #53910	C₂	semidirect
8. #53428	C₂	semidirect
9. #51144	C₂	semidirect
10. #48971	C₂	semidirect
11. #48550	C₂	semidirect
12. #47883	C₂	semidirect
13. #47367	C₂	semidirect
14. #47079	C₂	semidirect
15. #47031	C₂	semidirect
16. #46837	C₂	semidirect
17. #46475	C₂	semidirect
18. #45460	C₂	semidirect
19. #45458	C₂	semidirect
20. #45440	C₂	semidirect
21. #45438	C₂	semidirect
22. #35050	C₂	semidirect
23. #34992	C₂	semidirect
25. C₂×#525	C₂²	semidirect
29. #2849	C₂²	semidirect
31. #2840	C₂²	semidirect
32. #2840	C₂²	semidirect
33. #2834	C₂²	semidirect
34. #2831	C₂²	semidirect
35. #2831	C₂²	semidirect
36. #2830	C₂²	semidirect
37. #2828	C₂²	semidirect
38. #2828	C₂²	semidirect
39. #2816	C₂²	semidirect
40. #2815	C₂²	semidirect
42. #2812	C₂²	semidirect
43. #2803	C₂²	semidirect
44. #2795	C₂²	semidirect
45. #2793	C₂²	semidirect
46. #2788	C₂²	semidirect
47. #2786	C₂²	semidirect
48. #2786	C₂²	semidirect
49. #2778	C₂²	semidirect
50. #2778	C₂²	semidirect
51. #2777	C₂²	semidirect
52. #2764	C₂²	semidirect
53. #2764	C₂²	semidirect
54. #2764	C₂²	semidirect
55. #2760	C₂²	semidirect
56. #2759	C₂²	semidirect
57. #2757	C₂²	semidirect
58. #2752	C₂²	semidirect
59. #2751	C₂²	semidirect
60. #2751	C₂²	semidirect
61. #2749	C₂²	semidirect
62. #2746	C₂²	semidirect
63. #2746	C₂²	semidirect
64. #2745	C₂²	semidirect
65. #2745	C₂²	semidirect
66. #2743	C₂²	semidirect
67. #2742	C₂²	semidirect
68. #2737	C₂²	semidirect
69. #2737	C₂²	semidirect
71. #2736	C₂²	semidirect
72. #2730	C₂²	semidirect
73. #2718	C₂²	semidirect
74. #2712	C₂²	semidirect
75. #2712	C₂²	semidirect
76. #2710	C₂²	semidirect
77. #2709	C₂²	semidirect
78. #2708	C₂²	semidirect
79. #2703	C₂²	semidirect
80. #2701	C₂²	semidirect
81. #2701	C₂²	semidirect
82. #2700	C₂²	semidirect
83. #2699	C₂²	semidirect
84. #2699	C₂²	semidirect
86. #2697	C₂²	semidirect
87. #2696	C₂²	semidirect
88. #2696	C₂²	semidirect
89. #2696	C₂²	semidirect
90. #2692	C₂²	semidirect
91. #2689	C₂²	semidirect
92. #2687	C₂²	semidirect
93. #2687	C₂²	semidirect
94. #2687	C₂²	semidirect
95. #2687	C₂²	semidirect
96. #2686	C₂²	semidirect
97. #2686	C₂²	semidirect
101. #2684	C₂²	semidirect
102. #2683	C₂²	semidirect
103. #2681	C₂²	semidirect
104. #2680	C₂²	semidirect
107. #2676	C₂²	semidirect
108. #2673	C₂²	semidirect
109. #2671	C₂²	semidirect
111. #2670	C₂²	semidirect
112. #2670	C₂²	semidirect
116. #2668	C₂²	semidirect
117. #2667	C₂²	semidirect
118. #2654	C₂²	semidirect
119. #2653	C₂²	semidirect
120. #2648	C₂²	semidirect
121. #2639	C₂²	semidirect
122. #2631	C₂²	semidirect
124. #2626	C₂²	semidirect
127. #2617	C₂²	semidirect
128. #2616	C₂²	semidirect
129. #2610	C₂²	semidirect
130. #2607	C₂²	semidirect
131. #2600	C₂²	semidirect
132. #2599	C₂²	semidirect
133. #2592	C₂²	semidirect
134. #2573	C₂²	semidirect
135. #2572	C₂²	semidirect
136. #2572	C₂²	semidirect
137. #2572	C₂²	semidirect
140. #2561	C₂²	semidirect
141. #2561	C₂²	semidirect
142. #2557	C₂²	semidirect
143. #2557	C₂²	semidirect
145. #2539	C₂²	semidirect
147. #2534	C₂²	semidirect
148. #2531	C₂²	semidirect
149. #2531	C₂²	semidirect
150. #2531	C₂²	semidirect
151. #2527	C₂²	semidirect
152. #2527	C₂²	semidirect
153. #2510	C₂²	semidirect
156. #2483	C₂²	semidirect
158. #2482	C₂²	semidirect
160. #2478	C₂²	semidirect
161. #2477	C₂²	semidirect
162. #2477	C₂²	semidirect
163. #2476	C₂²	semidirect
165. #2472	C₂²	semidirect
166. #2472	C₂²	semidirect
167. #2472	C₂²	semidirect
168. #2468	C₂²	semidirect
169. #2464	C₂²	semidirect
170. #2463	C₂²	semidirect
171. #2458	C₂²	semidirect
172. #2458	C₂²	semidirect
173. #2457	C₂²	semidirect
174. #2456	C₂²	semidirect
175. #2455	C₂²	semidirect
176. #2450	C₂²	semidirect
177. #2445	C₂²	semidirect
178. #2444	C₂²	semidirect
180. #2431	C₂²	semidirect
181. #2430	C₂²	semidirect
182. #2426	C₂²	semidirect
184. #2423	C₂²	semidirect
185. #2422	C₂²	semidirect
186. #2419	C₂²	semidirect
191. #2411	C₂²	semidirect
194. #2407	C₂²	semidirect
200. #2404	C₂²	semidirect
201. #2404	C₂²	semidirect
202. #2380	C₂²	semidirect
203. #2378	C₂²	semidirect
205. #2375	C₂²	semidirect
206. #2374	C₂²	semidirect
207. #2339	C₂²	semidirect
208. #2333	C₂²	semidirect
209. #2326	C₂²	semidirect
211. #2321	C₂²	semidirect
214. #2312	C₂²	semidirect
217. #2280	C₂²	semidirect
232. C₂×#124	C₂³	semidirect
242. C₂×#123	C₂³	semidirect
247. C₂×C₂²⋊Q₈	C₂³	semidirect
248. C₂×C₂²⋊Q₈	C₂³	semidirect
249. C₂×C₂²⋊Q₈	C₂³	semidirect
258. C₂×#121	C₂³	semidirect
271. C₂×C₄×Q₈	C₂³	semidirect
275. C₂×C₄×D₄	C₂³	semidirect
292. #401	C₂³	semidirect
293. #401	C₂³	semidirect
294. #400	C₂³	semidirect
295. #400	C₂³	semidirect
296. #400	C₂³	semidirect
297. #400	C₂³	semidirect
298. #400	C₂³	semidirect
299. #400	C₂³	semidirect
300. #400	C₂³	semidirect
301. #400	C₂³	semidirect
302. #400	C₂³	semidirect
308. #399	C₂³	semidirect
309. #398	C₂³	semidirect
310. #398	C₂³	semidirect
311. #398	C₂³	semidirect
312. #398	C₂³	semidirect
313. #398	C₂³	semidirect
314. #398	C₂³	semidirect
315. #398	C₂³	semidirect
316. #398	C₂³	semidirect
317. #398	C₂³	semidirect
337. #397	C₂³	semidirect
338. #397	C₂³	semidirect
339. #397	C₂³	semidirect
340. #397	C₂³	semidirect
341. #397	C₂³	semidirect
342. #397	C₂³	semidirect
343. #397	C₂³	semidirect
344. #397	C₂³	semidirect
351. #396	C₂³	semidirect
352. #396	C₂³	semidirect
353. #395	C₂³	semidirect
354. #395	C₂³	semidirect
355. #395	C₂³	semidirect
380. #394	C₂³	semidirect
381. #394	C₂³	semidirect
382. #394	C₂³	semidirect
383. #394	C₂³	semidirect
384. #394	C₂³	semidirect
385. #394	C₂³	semidirect
386. #394	C₂³	semidirect
402. #393	C₂³	semidirect
403. #393	C₂³	semidirect
404. #393	C₂³	semidirect
405. #393	C₂³	semidirect
406. #393	C₂³	semidirect
422. #392	C₂³	semidirect
423. #392	C₂³	semidirect
424. #391	C₂³	semidirect
425. #391	C₂³	semidirect
426. #391	C₂³	semidirect
427. #391	C₂³	semidirect
428. #391	C₂³	semidirect
429. #391	C₂³	semidirect
430. #391	C₂³	semidirect
443. #390	C₂³	semidirect
444. #390	C₂³	semidirect
445. #389	C₂³	semidirect
446. #389	C₂³	semidirect
447. #389	C₂³	semidirect
448. #389	C₂³	semidirect
475. #388	C₂³	semidirect
476. #388	C₂³	semidirect
477. #388	C₂³	semidirect
478. #388	C₂³	semidirect
479. #388	C₂³	semidirect
480. #388	C₂³	semidirect
481. #388	C₂³	semidirect
482. #388	C₂³	semidirect
483. #388	C₂³	semidirect
484. #388	C₂³	semidirect
485. #388	C₂³	semidirect
486. #388	C₂³	semidirect
487. #388	C₂³	semidirect
488. #388	C₂³	semidirect
489. #387	C₂³	semidirect
490. #387	C₂³	semidirect
491. #387	C₂³	semidirect
492. #387	C₂³	semidirect
493. #387	C₂³	semidirect
494. #387	C₂³	semidirect
495. #387	C₂³	semidirect
496. #387	C₂³	semidirect
497. #387	C₂³	semidirect
498. #387	C₂³	semidirect
499. #387	C₂³	semidirect
500. #387	C₂³	semidirect
501. #387	C₂³	semidirect
502. #387	C₂³	semidirect
503. #387	C₂³	semidirect
504. #387	C₂³	semidirect
536. #386	C₂³	semidirect
537. #386	C₂³	semidirect
538. #386	C₂³	semidirect
539. #386	C₂³	semidirect
540. #386	C₂³	semidirect
541. #386	C₂³	semidirect
542. #386	C₂³	semidirect
557. #385	C₂³	semidirect
558. #385	C₂³	semidirect
559. #385	C₂³	semidirect
560. #385	C₂³	semidirect
561. #385	C₂³	semidirect
562. #385	C₂³	semidirect
563. #384	C₂³	semidirect
564. #383	C₂³	semidirect
565. #383	C₂³	semidirect
566. #383	C₂³	semidirect
578. #381	C₂³	semidirect
579. #381	C₂³	semidirect
580. #381	C₂³	semidirect
588. #380	C₂³	semidirect
589. #380	C₂³	semidirect
590. #380	C₂³	semidirect
606. C₄×C₄⋊C₄	C₂³	semidirect
613. C₄×C₂²⋊C₄	C₂³	semidirect
614. C₄×C₂²⋊C₄	C₂³	semidirect
615. C₄×C₂²⋊C₄	C₂³	semidirect
616. #376	C₂³	semidirect
617. C₂×#95	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#57992	2
#57594	2
#56660	2
#56545	2
#56343	2
#54191	2
#53910	2
#53428	2
#51144	2
#48971	2
#48550	2
#47883	2
#47367	2
#47079	2
#47031	2
#46837	2
#46475	2
#45460	2
#45458	2
#45440	2
#45438	2
#35050	2
#34992	2