Subgroups — #9041087

Order 512.

5474 conjugacy classes of subgroups.

The subgroup lattice has 1423 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#58924	C₂	1	2	yes	maximal, complemented
2	#58260	C₂	1	2	yes	maximal, complemented
3	#56633	C₂	1	4	yes	maximal, complemented
4	#56295	C₂	1	4	yes	maximal, complemented
5	#54405	C₂	1	4	yes	maximal, complemented
6	#52990	C₂	1	2	yes	maximal, complemented
7	#52943	C₂	1	2	yes	maximal, complemented
8	#52422	C₂	1	4	yes	maximal, complemented
9	#50742	C₂	1	4	yes	maximal, complemented
10	#50693	C₂	1	4	yes	maximal, complemented
11	#50480	C₂	1	4	yes	maximal, complemented
12	#49562	C₂	1	4	yes	maximal, complemented
13	#48149	C₂	1	4	yes	maximal, complemented
14	#47848	C₂	1	2	yes	maximal, complemented
15	#47141	C₂	1	2	yes	maximal, complemented
16	#47035	C₂	1	1	yes	maximal, characteristic, complemented
17	#46996	C₂	1	1	yes	maximal, characteristic, complemented
18	#45458	C₂	1	2	yes	maximal, complemented
19	#45439	C₂	1	2	yes	maximal, complemented
20	#40660	C₂	1	4	yes	maximal, complemented
21	#36702	C₂	1	2	yes	maximal, complemented
22	#35703	C₂	1	2	yes	maximal, complemented
23	#35348	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×H(3,𝔽₄)	C₂²	1	2	yes	complemented
25	C₂×H(3,𝔽₄)	C₂²	1	2	yes	complemented
26	C₂×#548	C₂²	1	2	yes	complemented
27	C₂×#535	C₂²	1	2	yes	complemented
28	C₂×#534	C₂²	1	1	yes	characteristic
29	C₂²×#120	C₂²	1	1	yes	characteristic
30	C₂²×#120	C₂²	1	1	yes	characteristic, complemented
31	C₂×#518	C₂²	1	1	yes	characteristic, complemented
32	#2846	C₂²	1	4	yes	complemented
33	#2840	C₂²	1	2	yes	complemented
34	#2840	C₂²	1	1	yes	characteristic, complemented
35	#2838	C₂²	1	4	yes	complemented
36	#2832	C₂²	1	4	yes	complemented
37	#2832	C₂²	1	4	yes	complemented
38	#2830	C₂²	1	4	yes	complemented
39	#2826	C₂²	1	2	yes	complemented
40	#2826	C₂²	1	4	yes	complemented
41	#2824	C₂²	1	4	yes	complemented
42	#2824	C₂²	1	4	yes	complemented
43	#2817	C₂²	1	1	yes	characteristic, complemented
44	#2812	C₂²	1	4	yes	complemented
45	#2812	C₂²	1	2	yes	complemented
46	#2812	C₂²	1	4	yes	complemented
47	#2808	C₂²	1	4	yes	complemented
48	#2797	C₂²	1	4	yes	complemented
49	#2797	C₂²	1	4	yes	complemented
50	#2764	C₂²	1	4	yes	complemented
51	#2760	C₂²	1	2	yes	complemented
52	#2760	C₂²	1	4	yes	complemented
53	#2760	C₂²	1	2	yes	complemented
54	#2760	C₂²	1	4	yes	complemented
55	#2759	C₂²	1	4	yes	complemented
56	#2759	C₂²	1	4	yes	complemented
57	#2756	C₂²	1	4	yes	complemented
58	#2756	C₂²	1	4	yes	complemented
59	#2756	C₂²	1	4	yes	complemented
60	#2751	C₂²	1	4	yes	complemented
61	#2751	C₂²	1	4	yes	complemented
62	#2740	C₂²	1	4	yes	complemented
63	#2737	C₂²	1	4	yes	complemented
64	#2736	C₂²	1	4	yes	complemented
65	#2736	C₂²	1	2	yes	complemented
66	#2736	C₂²	1	2	yes	complemented
67	#2735	C₂²	1	2	yes	complemented
68	#2731	C₂²	1	4	yes	complemented
69	#2730	C₂²	1	4	yes	complemented
70	#2730	C₂²	1	4	yes	complemented
71	#2728	C₂²	1	4	yes	complemented
72	#2717	C₂²	1	2	yes	complemented
73	#2712	C₂²	1	2	yes	complemented
74	#2712	C₂²	1	4	yes	complemented
75	#2712	C₂²	1	4	yes	complemented
76	#2712	C₂²	1	4	yes	complemented
77	#2710	C₂²	1	4	yes	complemented
78	#2700	C₂²	1	4	yes	complemented
79	#2700	C₂²	1	4	yes	complemented
80	#2700	C₂²	1	4	yes	complemented
81	#2697	C₂²	1	2	yes	complemented
82	#2692	C₂²	1	4	yes	complemented
83	#2686	C₂²	1	4	yes	complemented
84	#2686	C₂²	1	4	yes	complemented
85	#2684	C₂²	1	4	yes	complemented
86	#2684	C₂²	1	4	yes	complemented
87	#2684	C₂²	1	4	yes	complemented
88	#2684	C₂²	1	4	yes	complemented
89	#2684	C₂²	1	4	yes	complemented
90	#2684	C₂²	1	2	yes	complemented
91	#2684	C₂²	1	4	yes	complemented
92	#2684	C₂²	1	4	yes	complemented
93	#2679	C₂²	1	4	yes	complemented
94	#2679	C₂²	1	2	yes	complemented
95	#2677	C₂²	1	2	yes	complemented
96	#2676	C₂²	1	4	yes	complemented
97	#2676	C₂²	1	4	yes	complemented
98	#2676	C₂²	1	4	yes	complemented
99	#2672	C₂²	1	4	yes	complemented
100	#2670	C₂²	1	4	yes	—
101	#2670	C₂²	1	4	yes	—
102	#2670	C₂²	1	4	yes	complemented
103	#2670	C₂²	1	2	yes	complemented
104	#2670	C₂²	1	4	yes	complemented
105	#2670	C₂²	1	4	yes	complemented
106	#2669	C₂²	1	4	yes	—
107	#2669	C₂²	1	4	yes	complemented
108	#2669	C₂²	1	4	yes	complemented
109	#2669	C₂²	1	4	yes	complemented
110	#2668	C₂²	1	4	yes	complemented
111	#2668	C₂²	1	4	yes	complemented
112	#2668	C₂²	1	4	yes	complemented
113	#2668	C₂²	1	4	yes	complemented
114	#2668	C₂²	1	4	yes	complemented
115	#2653	C₂²	1	4	yes	complemented
116	#2653	C₂²	1	4	yes	complemented
117	#2648	C₂²	1	4	yes	complemented
118	#2648	C₂²	1	4	yes	complemented
119	#2640	C₂²	1	4	yes	complemented
120	#2638	C₂²	1	2	yes	complemented
121	#2632	C₂²	1	4	yes	complemented
122	#2631	C₂²	1	2	yes	complemented
123	#2631	C₂²	1	4	yes	complemented
124	#2631	C₂²	1	4	yes	complemented
125	#2622	C₂²	1	4	yes	complemented
126	#2617	C₂²	1	2	yes	complemented
127	#2617	C₂²	1	4	yes	complemented
128	#2610	C₂²	1	2	yes	complemented
129	#2607	C₂²	1	1	yes	characteristic, complemented
130	#2599	C₂²	1	2	yes	complemented
131	#2594	C₂²	1	4	yes	complemented
132	#2592	C₂²	1	4	yes	complemented
133	#2578	C₂²	1	4	yes	complemented
134	#2561	C₂²	1	4	yes	complemented
135	#2561	C₂²	1	2	yes	complemented
136	#2557	C₂²	1	4	yes	complemented
137	#2555	C₂²	1	4	yes	complemented
138	#2555	C₂²	1	4	yes	complemented
139	#2555	C₂²	1	4	yes	complemented
140	#2544	C₂²	1	4	yes	complemented
141	#2544	C₂²	1	4	yes	complemented
142	#2543	C₂²	1	2	yes	complemented
143	#2543	C₂²	1	4	yes	complemented
144	#2543	C₂²	1	4	yes	complemented
145	#2534	C₂²	1	2	yes	complemented
146	#2534	C₂²	1	2	yes	complemented
147	#2526	C₂²	1	4	yes	complemented
148	#2523	C₂²	1	2	yes	complemented
149	#2516	C₂²	1	4	yes	complemented
150	#2516	C₂²	1	4	yes	complemented
151	#2510	C₂²	1	4	yes	complemented
152	#2510	C₂²	1	4	yes	complemented
153	#2492	C₂²	1	4	yes	complemented
154	#2491	C₂²	1	4	yes	complemented
155	#2491	C₂²	1	4	yes	complemented
156	#2482	C₂²	1	2	yes	complemented
157	#2482	C₂²	1	2	yes	complemented
158	#2477	C₂²	1	4	yes	complemented
159	#2474	C₂²	1	4	yes	complemented
160	#2474	C₂²	1	4	yes	complemented
161	#2472	C₂²	1	4	yes	complemented
162	#2472	C₂²	1	4	yes	complemented
163	#2472	C₂²	1	4	yes	complemented
164	#2472	C₂²	1	4	yes	complemented
165	#2472	C₂²	1	4	yes	complemented
166	#2472	C₂²	1	4	yes	complemented
167	#2472	C₂²	1	4	yes	complemented
168	#2472	C₂²	1	4	yes	complemented
169	#2463	C₂²	1	4	yes	complemented
170	#2459	C₂²	1	4	yes	complemented
171	#2459	C₂²	1	4	yes	complemented
172	#2459	C₂²	1	4	yes	complemented
173	#2444	C₂²	1	4	yes	complemented
174	#2444	C₂²	1	4	yes	complemented
175	#2444	C₂²	1	4	yes	complemented
176	#2436	C₂²	1	4	yes	complemented
177	#2436	C₂²	1	4	yes	complemented
178	#2435	C₂²	1	2	yes	—
179	#2435	C₂²	1	4	yes	complemented
180	#2432	C₂²	1	4	yes	complemented
181	#2427	C₂²	1	4	yes	complemented
182	#2424	C₂²	1	4	yes	complemented
183	#2424	C₂²	1	4	yes	complemented
184	#2424	C₂²	1	4	yes	complemented
185	#2424	C₂²	1	4	yes	complemented
186	#2411	C₂²	1	4	yes	complemented
187	#2410	C₂²	1	4	yes	complemented
188	#2410	C₂²	1	4	yes	complemented
189	#2410	C₂²	1	4	yes	complemented
190	#2409	C₂²	1	2	yes	complemented
191	#2408	C₂²	1	2	yes	—
192	#2408	C₂²	1	2	yes	—
193	#2408	C₂²	1	4	yes	complemented
194	#2404	C₂²	1	2	yes	—
195	#2404	C₂²	1	2	yes	—
196	#2404	C₂²	1	4	yes	complemented
197	#2404	C₂²	1	2	yes	complemented
198	#2404	C₂²	1	4	yes	complemented
199	#2404	C₂²	1	4	yes	complemented
200	#2403	C₂²	1	2	yes	—
201	#2403	C₂²	1	4	yes	complemented
202	#2403	C₂²	1	1	yes	characteristic, complemented
203	#2398	C₂²	1	2	yes	complemented
204	#2388	C₂²	1	2	yes	complemented
205	C₂×#393	C₂²	1	2	yes	complemented
206	#2375	C₂²	1	4	yes	complemented
207	#2375	C₂²	1	2	yes	complemented
208	#2364	C₂²	1	4	yes	complemented
209	#2358	C₂²	1	4	yes	complemented
210	#2358	C₂²	1	2	yes	complemented
211	#2353	C₂²	1	2	yes	complemented
212	#2337	C₂²	1	4	yes	complemented
213	#2332	C₂²	1	2	yes	complemented
214	#2315	C₂²	1	1	yes	characteristic, complemented
215	#2308	C₂²	1	1	yes	characteristic
216	#2308	C₂²	1	2	yes	complemented
217	#2308	C₂²	1	2	yes	complemented
218	C₂×#379	C₂²	1	1	yes	characteristic, complemented
219	C₂⁶	C₂³	1	1	yes	characteristic
220	C₂²×#41	C₂³	1	2	yes	—
221	C₂²×#41	C₂³	1	2	yes	—
222	C₂³×Q₈	C₂³	1	2	yes	complemented
223	C₂³×D₄	C₂³	1	1	yes	characteristic
224	C₂³×D₄	C₂³	1	2	yes	—
225	C₂³×D₄	C₂³	1	1	yes	characteristic
226	C₂³×D₄	C₂³	1	2	yes	—
227	C₂³×D₄	C₂³	1	2	yes	—
228	H(3,𝔽₄)	—	4	8	no	—
229	H(3,𝔽₄)	—	4	8	no	—
230	#548	—	4	8	no	—
231	#535	—	4	8	no	—
232	#534	—	4	4	no	—
233	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
234	C₂×#127	C₂³	1	4	yes	—
235	C₂×#124	C₂³	1	4	yes	—
236	C₂×#124	C₂³	1	4	yes	—
237	C₂×#124	C₂³	1	4	yes	—
238	C₂×#124	C₂³	1	2	yes	—
239	C₂×#124	C₂³	1	4	yes	—
240	C₂×#124	C₂³	1	4	yes	—
241	C₂×#124	C₂³	1	4	yes	—
242	C₂×#124	C₂³	1	2	yes	—
243	C₂×#124	C₂³	1	4	yes	—
244	C₂×#124	C₂³	1	4	yes	—
245	C₂×#124	C₂³	1	4	yes	—
246	C₂×#124	C₂³	1	2	yes	complemented
247	C₂×#124	C₂³	1	4	yes	complemented
248	C₂×#124	C₂³	1	4	yes	complemented
249	C₂×#124	C₂³	1	4	yes	complemented
250	C₂×#123	C₂³	1	2	yes	—
251	C₂×#123	C₂³	1	2	yes	—
252	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
253	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
254	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
255	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
256	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
257	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
258	C₂×#121	C₂³	1	4	yes	—
259	C₂×#121	C₂³	1	4	yes	—
260	C₂×#121	C₂³	1	4	yes	—
261	C₂×#121	C₂³	1	4	yes	—
262	C₂×#121	C₂³	1	4	yes	—
263	C₂×#121	C₂³	1	4	yes	—
264	C₂×#121	C₂³	1	4	yes	—
265	C₂×#121	C₂³	1	4	yes	—
266	C₂×#121	C₂³	1	4	yes	—
267	C₂×#121	C₂³	1	2	yes	complemented
268	C₂×#121	C₂³	1	4	yes	complemented
269	C₂×#120	—	4	4	no	—
270	C₂×#120	—	4	4	no	—
271	C₂×#120	C₂³	1	2	yes	—
272	C₂×#120	C₂³	1	4	yes	—
273	C₂×#120	C₂³	1	2	yes	—
274	C₂×#120	C₂³	1	4	yes	—
275	C₂×#120	C₂³	1	4	yes	—
276	C₂×#120	C₂³	1	4	yes	—
277	C₂×#120	C₂³	1	2	yes	—
278	C₂×#120	C₂³	1	2	yes	—
279	C₂×#120	C₂³	1	4	yes	—
280	C₂×#120	C₂³	1	4	yes	—
281	C₂×#120	C₂³	1	2	yes	—
282	C₂×#120	C₂³	1	2	yes	—
283	C₂×#120	C₂³	1	2	yes	—
284	C₂×#120	C₂³	1	4	yes	—
285	C₂×#120	C₂³	1	2	yes	—
286	C₂×#120	C₂³	1	4	yes	—
287	C₂×#120	C₂³	1	4	yes	—
288	C₂×#120	C₂³	1	4	yes	—
289	C₂×#120	C₂³	1	4	yes	—
290	C₂×#120	C₂³	1	4	yes	—
291	C₂×#120	C₂³	1	4	yes	complemented
292	C₂×#120	C₂³	1	4	yes	complemented
293	#518	—	4	4	no	—
294	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
295	C₂×C₄×D₄	C₂³	1	2	yes	—
296	C₂×C₄×D₄	C₂³	1	2	yes	—
297	C₂×C₄×D₄	C₂³	1	2	yes	—
298	C₂×C₄×D₄	C₂³	1	2	yes	—
299	C₂×C₄×D₄	C₂³	1	4	yes	complemented
300	C₂×C₄×D₄	C₂³	1	4	yes	complemented
301	C₂×C₄×D₄	C₂³	1	4	yes	complemented
302	C₂×#117	C₂³	1	2	yes	—
303	C₂×#117	C₂³	1	2	yes	—
304	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
309	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
310	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
311	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
312	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
313	C₂²×C₂²⋊C₄	C₂³	1	4	yes	complemented
314	#401	C₂³	1	4	yes	complemented
315	#401	C₂³	1	4	yes	complemented
316	#400	C₂³	1	4	yes	complemented
317	#400	C₂³	1	4	yes	complemented
318	#400	C₂³	1	4	yes	complemented
319	#400	C₂³	1	4	yes	complemented
320	#400	C₂³	1	4	yes	complemented
321	#399	C₂³	1	2	yes	—
322	#399	C₂³	1	4	yes	—
323	#399	C₂³	1	2	yes	—
324	#399	C₂³	1	4	yes	complemented
325	#398	C₂³	1	4	yes	complemented
326	#398	C₂³	1	2	yes	complemented
327	#398	C₂³	1	4	yes	complemented
328	#397	C₂³	1	2	yes	—
329	#397	C₂³	1	4	yes	—
330	#397	C₂³	1	2	yes	—
331	#397	C₂³	1	4	yes	—
332	#397	C₂³	1	2	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	—
338	#397	C₂³	1	4	yes	—
339	#397	C₂³	1	4	yes	—
340	#397	C₂³	1	4	yes	—
341	#397	C₂³	1	4	yes	—
342	#397	C₂³	1	4	yes	—
343	#397	C₂³	1	4	yes	—
344	#397	C₂³	1	2	yes	—
345	#397	C₂³	1	4	yes	complemented
346	#397	C₂³	1	4	yes	complemented
347	#397	C₂³	1	4	yes	complemented
348	#397	C₂³	1	4	yes	complemented
349	#397	C₂³	1	4	yes	complemented
350	#397	C₂³	1	4	yes	complemented
351	#397	C₂³	1	2	yes	complemented
352	#397	C₂³	1	4	yes	complemented
353	#397	C₂³	1	4	yes	complemented
354	#397	C₂³	1	4	yes	complemented
355	#396	C₂³	1	4	yes	—
356	#396	C₂³	1	4	yes	—
357	#396	C₂³	1	4	yes	complemented
358	#396	C₂³	1	4	yes	complemented
359	#396	C₂³	1	4	yes	complemented
360	#395	C₂³	1	4	yes	complemented
361	#395	C₂³	1	2	yes	complemented
362	#395	C₂³	1	2	yes	complemented
363	#395	C₂³	1	4	yes	complemented
364	#395	C₂³	1	4	yes	complemented
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	—
381	#394	C₂³	1	4	yes	—
382	#394	C₂³	1	4	yes	—
383	#394	C₂³	1	4	yes	—
384	#394	C₂³	1	4	yes	—
385	#394	C₂³	1	4	yes	—
386	#394	C₂³	1	4	yes	—
387	#394	C₂³	1	4	yes	—
388	#394	C₂³	1	4	yes	—
389	#394	C₂³	1	4	yes	—
390	#394	C₂³	1	4	yes	—
391	#394	C₂³	1	4	yes	—
392	#394	C₂³	1	4	yes	—
393	#394	C₂³	1	4	yes	—
394	#394	C₂³	1	4	yes	—
395	#394	C₂³	1	4	yes	complemented
396	#394	C₂³	1	4	yes	complemented
397	#394	C₂³	1	2	yes	complemented
398	#394	C₂³	1	4	yes	complemented
399	#394	C₂³	1	4	yes	complemented
400	#394	C₂³	1	4	yes	complemented
401	#394	C₂³	1	4	yes	complemented
402	#393	C₂³	1	2	yes	—
403	#393	C₂³	1	4	yes	—
404	#393	C₂³	1	2	yes	—
405	#393	C₂³	1	4	yes	—
406	#393	C₂³	1	4	yes	—
407	#393	C₂³	1	4	yes	—
408	#393	C₂³	1	4	yes	—
409	#393	C₂³	1	4	yes	—
410	#393	C₂³	1	4	yes	—
411	#393	C₂³	1	4	yes	—
412	#393	C₂³	1	2	yes	—
413	#393	C₂³	1	2	yes	—
414	#393	C₂³	1	4	yes	—
415	#393	C₂³	1	2	yes	—
416	#393	C₂³	1	4	yes	—
417	#393	C₂³	1	4	yes	—
418	#393	C₂³	1	2	yes	—
419	#393	C₂³	1	2	yes	complemented
420	#393	C₂³	1	4	yes	complemented
421	#393	C₂³	1	4	yes	complemented
422	#393	C₂³	1	4	yes	complemented
423	#393	C₂³	1	4	yes	complemented
424	#393	C₂³	1	4	yes	complemented
425	#393	C₂³	1	2	yes	complemented
426	#393	C₂³	1	4	yes	complemented
427	#393	C₂³	1	4	yes	complemented
428	#393	C₂³	1	4	yes	complemented
429	#392	C₂³	1	4	yes	—
430	#392	C₂³	1	4	yes	—
431	#392	C₂³	1	2	yes	—
432	#392	C₂³	1	4	yes	—
433	#392	C₂³	1	2	yes	—
434	#392	C₂³	1	4	yes	—
435	#392	C₂³	1	2	yes	—
436	#392	C₂³	1	4	yes	—
437	#392	C₂³	1	4	yes	—
438	#392	C₂³	1	4	yes	—
439	#392	C₂³	1	4	yes	—
440	#392	C₂³	1	4	yes	—
441	#392	C₂³	1	4	yes	—
442	#392	C₂³	1	4	yes	—
443	#392	C₂³	1	4	yes	—
444	#392	C₂³	1	4	yes	—
445	#392	C₂³	1	2	yes	—
446	#392	C₂³	1	4	yes	—
447	#392	C₂³	1	4	yes	—
448	#392	C₂³	1	4	yes	complemented
449	#392	C₂³	1	2	yes	complemented
450	#391	C₂³	1	4	yes	complemented
451	#391	C₂³	1	4	yes	complemented
452	#391	C₂³	1	4	yes	complemented
453	#391	C₂³	1	4	yes	complemented
454	#391	C₂³	1	4	yes	complemented
455	#391	C₂³	1	4	yes	complemented
456	#391	C₂³	1	4	yes	complemented
457	#391	C₂³	1	4	yes	complemented
458	#391	C₂³	1	4	yes	complemented
459	#390	C₂³	1	4	yes	—
460	#390	C₂³	1	4	yes	—
461	#390	C₂³	1	4	yes	—
462	#390	C₂³	1	4	yes	—
463	#390	C₂³	1	2	yes	—
464	#390	C₂³	1	4	yes	—
465	#390	C₂³	1	4	yes	—
466	#390	C₂³	1	4	yes	—
467	#390	C₂³	1	4	yes	—
468	#390	C₂³	1	2	yes	—
469	#390	C₂³	1	4	yes	—
470	#390	C₂³	1	4	yes	—
471	#390	C₂³	1	4	yes	complemented
472	#389	C₂³	1	4	yes	complemented
473	#388	C₂³	1	4	yes	—
474	#388	C₂³	1	4	yes	—
475	#388	C₂³	1	4	yes	—
476	#388	C₂³	1	4	yes	—
477	#388	C₂³	1	4	yes	—
478	#388	C₂³	1	4	yes	—
479	#388	C₂³	1	4	yes	—
480	#388	C₂³	1	4	yes	—
481	#388	C₂³	1	4	yes	—
482	#388	C₂³	1	4	yes	—
483	#388	C₂³	1	4	yes	—
484	#388	C₂³	1	4	yes	—
485	#388	C₂³	1	4	yes	—
486	#388	C₂³	1	4	yes	—
487	#388	C₂³	1	4	yes	—
488	#388	C₂³	1	4	yes	—
489	#388	C₂³	1	4	yes	—
490	#388	C₂³	1	4	yes	—
491	#388	C₂³	1	4	yes	—
492	#388	C₂³	1	4	yes	—
493	#388	C₂³	1	4	yes	—
494	#388	C₂³	1	4	yes	—
495	#388	C₂³	1	4	yes	—
496	#388	C₂³	1	4	yes	—
497	#388	C₂³	1	4	yes	complemented
498	#388	C₂³	1	4	yes	complemented
499	#388	C₂³	1	4	yes	complemented
500	#388	C₂³	1	4	yes	complemented
501	#388	C₂³	1	4	yes	complemented
502	#388	C₂³	1	4	yes	complemented
503	#388	C₂³	1	4	yes	complemented
504	#388	C₂³	1	4	yes	complemented
505	#388	C₂³	1	4	yes	complemented
506	#388	C₂³	1	4	yes	complemented
507	#388	C₂³	1	4	yes	complemented
508	#388	C₂³	1	4	yes	complemented
509	#388	C₂³	1	4	yes	complemented
510	#387	C₂³	1	4	yes	complemented
511	#387	C₂³	1	4	yes	complemented
512	#387	C₂³	1	4	yes	complemented
513	#387	C₂³	1	4	yes	complemented
514	#387	C₂³	1	4	yes	complemented
515	#387	C₂³	1	4	yes	complemented
516	#387	C₂³	1	4	yes	complemented
517	#387	C₂³	1	4	yes	complemented
518	#387	C₂³	1	4	yes	complemented
519	#387	C₂³	1	4	yes	complemented
520	#387	C₂³	1	4	yes	complemented
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	2	yes	—
536	#386	C₂³	1	4	yes	—
537	#386	C₂³	1	4	yes	—
538	#386	C₂³	1	4	yes	—
539	#386	C₂³	1	4	yes	—
540	#386	C₂³	1	4	yes	—
541	#386	C₂³	1	4	yes	—
542	#386	C₂³	1	2	yes	—
543	#386	C₂³	1	4	yes	—
544	#386	C₂³	1	4	yes	—
545	#386	C₂³	1	4	yes	—
546	#386	C₂³	1	4	yes	—
547	#386	C₂³	1	4	yes	—
548	#386	C₂³	1	4	yes	—
549	#386	C₂³	1	4	yes	—
550	#386	C₂³	1	4	yes	—
551	#386	C₂³	1	4	yes	—
552	#386	C₂³	1	4	yes	—
553	#386	C₂³	1	4	yes	—
554	#386	C₂³	1	4	yes	—
555	#386	C₂³	1	4	yes	complemented
556	#386	C₂³	1	4	yes	complemented
557	#386	C₂³	1	4	yes	complemented
558	#386	C₂³	1	4	yes	complemented
559	#386	C₂³	1	4	yes	complemented
560	#386	C₂³	1	4	yes	complemented
561	#386	C₂³	1	4	yes	complemented
562	#386	C₂³	1	4	yes	complemented
563	#386	C₂³	1	4	yes	complemented
564	#386	C₂³	1	4	yes	complemented
565	#386	C₂³	1	4	yes	complemented
566	#385	C₂³	1	2	yes	—
567	#385	C₂³	1	2	yes	—
568	#385	C₂³	1	4	yes	—
569	#385	C₂³	1	4	yes	—
570	#385	C₂³	1	4	yes	—
571	#385	C₂³	1	4	yes	complemented
572	#385	C₂³	1	4	yes	complemented
573	#385	C₂³	1	4	yes	complemented
574	#385	C₂³	1	4	yes	complemented
575	#385	C₂³	1	4	yes	complemented
576	#383	C₂³	1	4	yes	complemented
577	#383	C₂³	1	2	yes	complemented
578	#383	C₂³	1	4	yes	complemented
579	#381	C₂³	1	2	yes	—
580	#381	C₂³	1	4	yes	—
581	#381	C₂³	1	1	yes	characteristic
582	#381	C₂³	1	1	yes	characteristic
583	#381	C₂³	1	2	yes	—
584	#381	C₂³	1	2	yes	—
585	#381	C₂³	1	4	yes	complemented
586	#381	C₂³	1	4	yes	complemented
587	#381	C₂³	1	4	yes	complemented
588	#380	C₂³	1	2	yes	—
589	#380	C₂³	1	2	yes	—
590	#380	C₂³	1	2	yes	complemented
591	#380	C₂³	1	4	yes	complemented
592	#380	C₂³	1	4	yes	complemented
593	#379	C₂³	1	4	yes	—
594	#379	C₂³	1	4	yes	—
595	#379	C₂³	1	4	yes	—
596	#379	C₂³	1	1	yes	characteristic
597	#379	C₂³	1	1	yes	characteristic
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	4	yes	—
604	#379	C₂³	1	2	yes	—
605	#379	C₂³	1	4	yes	—
606	#379	C₂³	1	4	yes	—
607	#379	C₂³	1	4	yes	complemented
608	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
609	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
610	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
611	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
612	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
613	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
614	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
615	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
616	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
617	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
618	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
619	#376	C₂³	1	2	yes	complemented
620	C₂×#95	C₂³	1	2	yes	complemented
621	C₂×#95	C₂³	1	4	yes	complemented
622	C₂⁵	—	4	2	no	—
623	C₂⁵	—	4	2	no	—
624	C₂⁵	—	4	2	no	—
625	C₂⁵	—	8	4	no	—
626	C₂⁵	C₂⁴	1	1	yes	characteristic
627	C₂⁵	C₂⁴	1	2	yes	—
628	C₂⁵	C₂⁴	1	2	yes	—
629	C₂⁵	C₂⁴	1	2	yes	—
630	C₂⁵	C₂⁴	1	1	yes	characteristic
631	C₂⁵	C₂⁴	1	2	yes	—
632	C₂⁵	C₂⁴	1	1	yes	characteristic
633	C₂×#41	—	4	4	no	—
634	C₂×#41	—	4	4	no	—
635	C₂×#41	—	8	4	no	—
636	C₂×#41	—	8	4	no	—
637	C₂²×Q₈	—	4	4	no	—
638	C₂²×Q₈	—	8	4	no	—
639	C₂²×Q₈	C₂⁴	1	4	yes	—
640	C₂²×Q₈	C₂⁴	1	2	yes	—
641	C₂²×Q₈	C₂⁴	1	4	yes	—
642	C₂²×Q₈	C₂⁴	1	2	yes	—
643	C₂²×Q₈	C₂⁴	1	2	yes	—
644	C₂²×Q₈	C₂⁴	1	2	yes	—
645	C₂²×D₄	—	2	4	no	—
646	C₂²×D₄	—	2	8	no	—
647	C₂²×D₄	—	4	4	no	—
648	C₂²×D₄	—	4	2	no	—
649	C₂²×D₄	—	4	2	no	—
650	C₂²×D₄	—	4	2	no	—
651	C₂²×D₄	—	4	2	no	—
652	C₂²×D₄	—	4	2	no	—
653	C₂²×D₄	—	4	4	no	—
654	C₂²×D₄	—	8	4	no	—
655	C₂²×D₄	—	8	4	no	—
656	C₂²×D₄	—	8	4	no	—
657	C₂²×D₄	C₂⁴	1	2	yes	—
658	C₂²×D₄	C₂⁴	1	2	yes	—
659	C₂²×D₄	C₂⁴	1	4	yes	—
660	C₂²×D₄	C₂⁴	1	4	yes	—
661	C₂²×D₄	C₂⁴	1	4	yes	—
662	C₂²×D₄	C₂⁴	1	4	yes	—
663	C₂²×D₄	C₂⁴	1	4	yes	—
664	C₂²×D₄	C₂⁴	1	2	yes	—
665	C₂²×D₄	C₂⁴	1	2	yes	—
666	C₂²×D₄	C₂⁴	1	4	yes	—
667	C₂²×D₄	C₂⁴	1	4	yes	—
668	C₂²×D₄	C₂⁴	1	4	yes	—
669	C₂²×D₄	C₂⁴	1	4	yes	—
670	C₂²×D₄	C₂⁴	1	4	yes	—
671	C₂²×D₄	C₂⁴	1	4	yes	—
672	C₂²×D₄	C₂⁴	1	4	yes	—
673	C₂²×D₄	C₂⁴	1	4	yes	—
674	C₂²×D₄	C₂⁴	1	4	yes	—
675	C₂²×D₄	C₂⁴	1	2	yes	—
676	C₂²×D₄	C₂⁴	1	2	yes	—
677	C₂²×D₄	C₂⁴	1	4	yes	—
678	C₂³×C₄	C₂⁴	1	2	yes	—
679	C₂³×C₄	C₂⁴	1	1	yes	characteristic
680	C₂³×C₄	C₂⁴	1	2	yes	—
681	C₂³×C₄	C₂⁴	1	2	yes	—
682	C₂³×C₄	C₂⁴	1	1	yes	characteristic
683	C₂³×C₄	C₂⁴	1	2	yes	—
684	C₂³×C₄	C₂⁴	1	2	yes	—
685	C₂³×C₄	C₂⁴	1	2	yes	—
686	C₂³×C₄	C₂⁴	1	4	yes	—
687	C₂³×C₄	C₂⁴	1	4	yes	—
688	C₂³×C₄	C₂⁴	1	4	yes	—
689	C₂³×C₄	C₂⁴	1	4	yes	—
690	C₂³×C₄	C₂⁴	1	2	yes	—
691	C₄⋊Q₈	—	8	4	no	—
692	#127	—	4	8	no	—
693	#124	—	2	16	no	—
694	#124	—	4	8	no	—
695	#124	—	4	4	no	—
696	#124	—	4	8	no	—
697	#124	—	4	8	no	—
698	#124	—	4	8	no	—
699	#124	—	4	4	no	—
700	#124	—	4	4	no	—
701	#124	—	4	8	no	—
702	#124	—	4	8	no	—
703	#124	—	4	8	no	—
704	#124	—	4	8	no	—
705	#124	—	8	4	no	—
706	#124	—	8	4	no	—
707	#124	—	8	4	no	—
708	#123	—	4	4	no	—
709	#123	—	4	4	no	—
710	C₂²⋊Q₈	—	4	4	no	—
711	C₂²⋊Q₈	—	4	4	no	—
712	C₂²⋊Q₈	—	4	8	no	—
713	C₂²⋊Q₈	—	8	4	no	—
714	C₂²⋊Q₈	—	8	4	no	—
715	C₂²⋊Q₈	—	8	4	no	—
716	#121	—	4	4	no	—
717	#121	—	4	8	no	—
718	#121	—	4	8	no	—
719	#121	—	4	8	no	—
720	#121	—	4	8	no	—
721	#121	—	4	8	no	—
722	#121	—	8	4	no	—
723	#121	—	8	4	no	—
724	#121	—	8	4	no	—
725	#121	—	8	4	no	—
726	#121	—	8	4	no	—
727	#120	—	2	8	no	—
728	#120	—	2	16	no	—
729	#120	—	2	8	no	—
730	#120	—	4	8	no	—
731	#120	—	4	8	no	—
732	#120	—	4	4	no	—
733	#120	—	4	8	no	—
734	#120	—	4	8	no	—
735	#120	—	4	8	no	—
736	#120	—	4	4	no	—
737	#120	—	4	4	no	—
738	#120	—	4	8	no	—
739	#120	—	4	4	no	—
740	#120	—	4	4	no	—
741	#120	—	4	4	no	—
742	#120	—	4	8	no	—
743	#120	—	8	4	no	—
744	#120	—	8	4	no	—
745	#120	—	8	4	no	—
746	#120	—	8	4	no	—
747	#120	—	8	4	no	—
748	#120	—	8	4	no	—
749	C₄×Q₈	—	4	4	no	—
750	C₄×D₄	—	2	8	no	—
751	C₄×D₄	—	4	8	no	—
752	C₄×D₄	—	4	4	no	—
753	C₄×D₄	—	4	4	no	—
754	C₄×D₄	—	4	4	no	—
755	C₄×D₄	—	8	4	no	—
756	C₄×D₄	—	8	4	no	—
757	#117	—	4	4	no	—
758	#117	—	4	4	no	—
759	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
760	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
761	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
762	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
763	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
764	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
765	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
766	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
767	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
768	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
769	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
770	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
771	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
772	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
773	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
774	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
775	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
776	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
777	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
778	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
779	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
780	C₂×C₂²⋊C₄	—	2	4	no	—
781	C₂×C₂²⋊C₄	—	4	4	no	—
782	C₂×C₂²⋊C₄	—	4	4	no	—
783	C₂×C₂²⋊C₄	—	4	2	no	—
784	C₂×C₂²⋊C₄	—	4	2	no	—
785	C₂×C₂²⋊C₄	—	4	2	no	—
786	C₂×C₂²⋊C₄	—	4	4	no	—
787	C₂×C₂²⋊C₄	—	8	4	no	—
788	C₂×C₂²⋊C₄	—	8	4	no	—
789	C₂×C₂²⋊C₄	—	8	4	no	—
790	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
791	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
792	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
793	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	yes	—
804	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
805	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
806	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
807	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
810	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
811	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	yes	—
816	C₂×C₂²⋊C₄	C₂⁴	1	4	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	4	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×C₂²⋊C₄	C₂⁴	1	4	yes	—
835	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
836	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
837	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
838	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
839	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
840	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
841	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
842	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
843	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
844	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
845	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
846	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
847	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
848	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
849	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
850	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
851	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
852	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
853	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
854	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
855	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
856	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
857	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
858	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
860	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
861	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
862	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
863	C₂×C₄²	C₂⁴	1	2	yes	—
864	C₂×C₄²	C₂⁴	1	4	yes	—
865	C₂×C₄²	C₂⁴	1	2	yes	—
866	C₂×C₄²	C₂⁴	1	4	yes	—
867	C₂×C₄²	C₂⁴	1	4	yes	—
868	C₂×C₄²	C₂⁴	1	4	yes	—
869	C₂×C₄²	C₂⁴	1	2	yes	—
870	C₂×C₄²	C₂⁴	1	4	yes	—
871	C₂×C₄²	C₂⁴	1	2	yes	—
872	C₂×C₄²	C₂⁴	1	4	yes	—
873	#95	C₂⁴	1	2	yes	—
874	#95	C₂⁴	1	4	yes	—
875	#95	C₂⁴	1	2	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	4	yes	—
882	#95	C₂⁴	1	4	yes	—
883	#95	C₂⁴	1	2	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	#95	C₂⁴	1	4	yes	—
892	#95	C₂⁴	1	4	yes	—
893	#95	C₂⁴	1	4	yes	—
894	#95	C₂⁴	1	4	yes	—
895	#95	C₂⁴	1	4	yes	—
896	#95	C₂⁴	1	4	yes	—
897	#95	C₂⁴	1	4	yes	—
898	#95	C₂⁴	1	4	yes	—
899	#95	C₂⁴	1	4	yes	—
900	#95	C₂⁴	1	4	yes	—
901	#95	C₂⁴	1	4	yes	—
902	#95	C₂⁴	1	4	yes	—
903	#95	C₂⁴	1	2	yes	—
904	#95	C₂⁴	1	4	yes	—
905	#95	C₂⁴	1	4	yes	—
906	#95	C₂⁴	1	2	yes	—
907	#95	C₂⁴	1	4	yes	—
908	#95	C₂⁴	1	2	yes	—
909	#95	C₂⁴	1	2	yes	—
910	#95	C₂⁴	1	4	yes	—
911	#95	C₂⁴	1	4	yes	—
912	#95	C₂⁴	1	4	yes	—
913	#95	C₂⁴	1	4	yes	—
914	#95	C₂⁴	1	4	yes	—
915	#95	C₂⁴	1	4	yes	—
916	#95	C₂⁴	1	4	yes	—
917	C₂⁴	—	2	2	no	—
918	C₂⁴	—	2	2	no	—
919	C₂⁴	—	2	2	no	—
920	C₂⁴	—	2	4	no	—
921	C₂⁴	—	2	4	no	—
922	C₂⁴	—	2	4	no	—
923	C₂⁴	—	2	2	no	—
924	C₂⁴	—	4	2	no	—
925	C₂⁴	—	4	4	no	—
926	C₂⁴	—	4	4	no	—
927	C₂⁴	—	4	4	no	—
928	C₂⁴	—	4	2	no	—
929	C₂⁴	—	4	1	no	—
930	C₂⁴	—	4	4	no	—
931	C₂⁴	—	4	4	no	—
932	C₂⁴	—	4	1	no	—
933	C₂⁴	—	4	2	no	—
934	C₂⁴	—	4	2	no	—
935	C₂⁴	—	4	2	no	—
936	C₂⁴	—	4	2	no	—
937	C₂⁴	—	4	4	no	—
938	C₂⁴	—	4	4	no	—
939	C₂⁴	—	4	4	no	—
940	C₂⁴	—	4	4	no	—
941	C₂⁴	—	4	1	no	—
942	C₂⁴	—	4	2	no	—
943	C₂⁴	—	4	4	no	—
944	C₂⁴	—	4	1	no	—
945	C₂⁴	—	4	2	no	—
946	C₂⁴	—	4	2	no	—
947	C₂⁴	—	4	4	no	—
948	C₂⁴	—	8	8	no	—
949	C₂⁴	—	8	16	no	—
950	C₂⁴	—	8	16	no	—
951	C₂⁴	—	8	16	no	—
952	C₂⁴	H(5,𝔽₂)	1	4	yes	—
953	C₂⁴	C₂⁵	1	4	yes	—
954	C₂⁴	C₂⁵	1	2	yes	—
955	C₂⁴	C₂⁵	1	4	yes	—
956	C₂⁴	C₂⁵	1	1	yes	characteristic
957	C₂⁴	C₂⁵	1	1	yes	characteristic
958	C₂⁴	C₂⁵	1	2	yes	—
959	C₂⁴	C₂⁵	1	1	yes	characteristic
960	#41	—	8	16	no	—
961	#41	—	8	16	no	—
962	C₂×Q₈	—	2	8	no	—
963	C₂×Q₈	—	4	2	no	—
964	C₂×Q₈	—	4	4	no	—
965	C₂×Q₈	—	4	2	no	—
966	C₂×Q₈	—	4	4	no	—
967	C₂×Q₈	—	4	2	no	—
968	C₂×Q₈	—	4	4	no	—
969	C₂×Q₈	—	4	4	no	—
970	C₂×Q₈	—	4	4	no	—
971	C₂×Q₈	—	4	2	no	—
972	C₂×Q₈	—	4	4	no	—
973	C₂×Q₈	—	4	2	no	—
974	C₂×Q₈	—	4	2	no	—
975	C₂×Q₈	—	4	4	no	—
976	C₂×Q₈	—	4	4	no	—
977	C₂×Q₈	—	8	16	no	—
978	C₂×D₄	—	2	4	no	—
979	C₂×D₄	—	2	4	no	—
980	C₂×D₄	—	2	4	no	—
981	C₂×D₄	—	2	4	no	—
982	C₂×D₄	—	2	8	no	—
983	C₂×D₄	—	2	4	no	—
984	C₂×D₄	—	2	8	no	—
985	C₂×D₄	—	2	8	no	—
986	C₂×D₄	—	2	8	no	—
987	C₂×D₄	—	2	4	no	—
988	C₂×D₄	—	2	8	no	—
989	C₂×D₄	—	2	8	no	—
990	C₂×D₄	—	2	8	no	—
991	C₂×D₄	—	2	8	no	—
992	C₂×D₄	—	2	8	no	—
993	C₂×D₄	—	4	2	no	—
994	C₂×D₄	—	4	2	no	—
995	C₂×D₄	—	4	4	no	—
996	C₂×D₄	—	4	4	no	—
997	C₂×D₄	—	4	4	no	—
998	C₂×D₄	—	4	2	no	—
999	C₂×D₄	—	4	4	no	—
1000	C₂×D₄	—	4	4	no	—
1001	C₂×D₄	—	4	4	no	—
1002	C₂×D₄	—	4	4	no	—
1003	C₂×D₄	—	4	4	no	—
1004	C₂×D₄	—	4	4	no	—
1005	C₂×D₄	—	4	4	no	—
1006	C₂×D₄	—	4	4	no	—
1007	C₂×D₄	—	4	4	no	—
1008	C₂×D₄	—	4	4	no	—
1009	C₂×D₄	—	4	4	no	—
1010	C₂×D₄	—	4	2	no	—
1011	C₂×D₄	—	4	2	no	—
1012	C₂×D₄	—	4	4	no	—
1013	C₂×D₄	—	4	4	no	—
1014	C₂×D₄	—	4	4	no	—
1015	C₂×D₄	—	4	4	no	—
1016	C₂×D₄	—	4	4	no	—
1017	C₂×D₄	—	4	4	no	—
1018	C₂×D₄	—	4	4	no	—
1019	C₂×D₄	—	4	4	no	—
1020	C₂×D₄	—	4	4	no	—
1021	C₂×D₄	—	4	4	no	—
1022	C₂×D₄	—	4	4	no	—
1023	C₂×D₄	—	4	2	no	—
1024	C₂×D₄	—	4	4	no	—
1025	C₂×D₄	—	4	2	no	—
1026	C₂×D₄	—	4	2	no	—
1027	C₂×D₄	—	4	4	no	—
1028	C₂×D₄	—	4	4	no	—
1029	C₂×D₄	—	4	4	no	—
1030	C₂×D₄	—	4	4	no	—
1031	C₂×D₄	—	4	4	no	—
1032	C₂×D₄	—	4	4	no	—
1033	C₂×D₄	—	4	4	no	—
1034	C₂×D₄	—	4	4	no	—
1035	C₂×D₄	—	4	4	no	—
1036	C₂×D₄	—	4	4	no	—
1037	C₂×D₄	—	4	4	no	—
1038	C₂×D₄	—	4	4	no	—
1039	C₂×D₄	—	4	16	no	—
1040	C₂×D₄	—	8	16	no	—
1041	C₂×D₄	—	8	8	no	—
1042	C₂×D₄	—	8	16	no	—
1043	C₂×D₄	—	8	16	no	—
1044	C₂²×C₄	—	2	4	no	—
1045	C₂²×C₄	—	2	2	no	—
1046	C₂²×C₄	—	2	4	no	—
1047	C₂²×C₄	—	2	2	no	—
1048	C₂²×C₄	—	2	4	no	—
1049	C₂²×C₄	—	2	4	no	—
1050	C₂²×C₄	—	4	1	no	—
1051	C₂²×C₄	—	4	1	no	—
1052	C₂²×C₄	—	4	4	no	—
1053	C₂²×C₄	—	4	1	no	—
1054	C₂²×C₄	—	4	4	no	—
1055	C₂²×C₄	—	4	4	no	—
1056	C₂²×C₄	—	4	4	no	—
1057	C₂²×C₄	—	4	4	no	—
1058	C₂²×C₄	—	4	4	no	—
1059	C₂²×C₄	—	4	4	no	—
1060	C₂²×C₄	—	4	4	no	—
1061	C₂²×C₄	—	4	4	no	—
1062	C₂²×C₄	—	4	4	no	—
1063	C₂²×C₄	—	4	4	no	—
1064	C₂²×C₄	—	4	4	no	—
1065	C₂²×C₄	—	4	4	no	—
1066	C₂²×C₄	—	4	4	no	—
1067	C₂²×C₄	—	4	1	no	—
1068	C₂²×C₄	—	4	2	no	—
1069	C₂²×C₄	—	4	2	no	—
1070	C₂²×C₄	—	4	2	no	—
1071	C₂²×C₄	—	4	4	no	—
1072	C₂²×C₄	—	4	4	no	—
1073	C₂²×C₄	—	4	4	no	—
1074	C₂²×C₄	—	4	4	no	—
1075	C₂²×C₄	—	4	4	no	—
1076	C₂²×C₄	C₂⁵	1	4	yes	—
1077	C₂²×C₄	C₂⁵	1	2	yes	—
1078	C₂²×C₄	C₂⁵	1	4	yes	—
1079	C₂²×C₄	C₂⁵	1	2	yes	—
1080	C₂²×C₄	C₂⁵	1	2	yes	—
1081	C₂²×C₄	C₂⁵	1	2	yes	—
1082	C₂²×C₄	C₂⁵	1	4	yes	—
1083	C₂²×C₄	C₂⁵	1	4	yes	—
1084	C₂²×C₄	C₂⁵	1	4	yes	—
1085	C₂²×C₄	C₂⁵	1	2	yes	—
1086	C₂²×C₄	C₂⁵	1	2	yes	—
1087	C₂²×C₄	C₂⁵	1	4	yes	—
1088	C₂²×C₄	C₂⁵	1	4	yes	—
1089	C₂²×C₄	C₂⁵	1	4	yes	—
1090	C₂²×C₄	C₂⁵	1	2	yes	—
1091	C₂²×C₄	C₂⁵	1	2	yes	—
1092	C₄⋊C₄	—	2	4	no	—
1093	C₄⋊C₄	—	4	2	no	—
1094	C₄⋊C₄	—	4	2	no	—
1095	C₄⋊C₄	—	4	2	no	—
1096	C₄⋊C₄	—	4	4	no	—
1097	C₄⋊C₄	—	4	4	no	—
1098	C₄⋊C₄	—	4	4	no	—
1099	C₄⋊C₄	—	4	4	no	—
1100	C₄⋊C₄	—	4	2	no	—
1101	C₄⋊C₄	—	4	4	no	—
1102	C₄⋊C₄	—	4	4	no	—
1103	C₄⋊C₄	—	4	4	no	—
1104	C₄⋊C₄	—	4	4	no	—
1105	C₄⋊C₄	—	4	4	no	—
1106	C₄⋊C₄	—	4	4	no	—
1107	C₄⋊C₄	—	4	4	no	—
1108	C₄⋊C₄	—	4	2	no	—
1109	C₄⋊C₄	—	4	4	no	—
1110	C₄⋊C₄	—	4	4	no	—
1111	C₄⋊C₄	—	4	4	no	—
1112	C₄⋊C₄	—	4	4	no	—
1113	C₂²⋊C₄	—	2	2	no	—
1114	C₂²⋊C₄	—	2	4	no	—
1115	C₂²⋊C₄	—	2	8	no	—
1116	C₂²⋊C₄	—	2	8	no	—
1117	C₂²⋊C₄	—	2	8	no	—
1118	C₂²⋊C₄	—	2	8	no	—
1119	C₂²⋊C₄	—	2	8	no	—
1120	C₂²⋊C₄	—	2	8	no	—
1121	C₂²⋊C₄	—	2	4	no	—
1122	C₂²⋊C₄	—	2	4	no	—
1123	C₂²⋊C₄	—	2	8	no	—
1124	C₂²⋊C₄	—	2	8	no	—
1125	C₂²⋊C₄	—	2	8	no	—
1126	C₂²⋊C₄	—	4	2	no	—
1127	C₂²⋊C₄	—	4	1	no	—
1128	C₂²⋊C₄	—	4	2	no	—
1129	C₂²⋊C₄	—	4	1	no	—
1130	C₂²⋊C₄	—	4	1	no	—
1131	C₂²⋊C₄	—	4	4	no	—
1132	C₂²⋊C₄	—	4	2	no	—
1133	C₂²⋊C₄	—	4	4	no	—
1134	C₂²⋊C₄	—	4	4	no	—
1135	C₂²⋊C₄	—	4	1	no	—
1136	C₂²⋊C₄	—	4	2	no	—
1137	C₂²⋊C₄	—	4	4	no	—
1138	C₂²⋊C₄	—	4	4	no	—
1139	C₂²⋊C₄	—	4	4	no	—
1140	C₂²⋊C₄	—	4	4	no	—
1141	C₂²⋊C₄	—	4	4	no	—
1142	C₂²⋊C₄	—	4	4	no	—
1143	C₂²⋊C₄	—	4	4	no	—
1144	C₂²⋊C₄	—	4	4	no	—
1145	C₂²⋊C₄	—	4	4	no	—
1146	C₂²⋊C₄	—	4	4	no	—
1147	C₂²⋊C₄	—	4	4	no	—
1148	C₂²⋊C₄	—	4	4	no	—
1149	C₂²⋊C₄	—	4	4	no	—
1150	C₂²⋊C₄	—	4	4	no	—
1151	C₂²⋊C₄	—	4	4	no	—
1152	C₂²⋊C₄	—	4	4	no	—
1153	C₂²⋊C₄	—	4	4	no	—
1154	C₂²⋊C₄	—	4	4	no	—
1155	C₂²⋊C₄	—	4	4	no	—
1156	C₂²⋊C₄	—	4	4	no	—
1157	C₂²⋊C₄	—	4	4	no	—
1158	C₂²⋊C₄	—	4	2	no	—
1159	C₂²⋊C₄	—	4	4	no	—
1160	C₂²⋊C₄	—	4	4	no	—
1161	C₂²⋊C₄	—	4	4	no	—
1162	C₂²⋊C₄	—	4	4	no	—
1163	C₂²⋊C₄	—	4	4	no	—
1164	C₂²⋊C₄	—	4	2	no	—
1165	C₂²⋊C₄	—	4	4	no	—
1166	C₂²⋊C₄	—	4	4	no	—
1167	C₂²⋊C₄	—	4	4	no	—
1168	C₂²⋊C₄	—	4	4	no	—
1169	C₂²⋊C₄	—	4	4	no	—
1170	C₂²⋊C₄	—	4	4	no	—
1171	C₂²⋊C₄	—	4	4	no	—
1172	C₂²⋊C₄	—	4	4	no	—
1173	C₂²⋊C₄	—	4	4	no	—
1174	C₂²⋊C₄	—	4	4	no	—
1175	C₂²⋊C₄	—	4	4	no	—
1176	C₂²⋊C₄	—	4	4	no	—
1177	C₂²⋊C₄	—	4	4	no	—
1178	C₂²⋊C₄	—	4	4	no	—
1179	C₂²⋊C₄	—	4	4	no	—
1180	C₂²⋊C₄	—	4	4	no	—
1181	C₂²⋊C₄	—	4	4	no	—
1182	C₂²⋊C₄	—	4	4	no	—
1183	C₂²⋊C₄	—	4	4	no	—
1184	C₂²⋊C₄	—	4	4	no	—
1185	C₂²⋊C₄	H(5,𝔽₂)	1	4	yes	—
1186	C₄²	—	2	4	no	—
1187	C₄²	—	2	8	no	—
1188	C₄²	—	4	2	no	—
1189	C₄²	—	4	4	no	—
1190	C₄²	—	4	4	no	—
1191	C₄²	—	4	4	no	—
1192	C₄²	—	4	2	no	—
1193	C₄²	—	4	4	no	—
1194	C₄²	—	4	2	no	—
1195	C₄²	—	4	4	no	—
1196	C₂³	—	2	8	no	—
1197	C₂³	—	2	1	no	—
1198	C₂³	—	2	2	no	—
1199	C₂³	—	2	1	no	—
1200	C₂³	—	2	1	no	—
1201	C₂³	—	2	1	no	—
1202	C₂³	—	2	2	no	—
1203	C₂³	—	2	1	no	—
1204	C₂³	—	2	1	no	—
1205	C₂³	—	2	4	no	—
1206	C₂³	—	2	4	no	—
1207	C₂³	—	2	4	no	—
1208	C₂³	—	2	4	no	—
1209	C₂³	—	2	4	no	—
1210	C₂³	—	2	4	no	—
1211	C₂³	—	2	4	no	—
1212	C₂³	—	2	2	no	—
1213	C₂³	—	2	4	no	—
1214	C₂³	—	2	4	no	—
1215	C₂³	—	2	2	no	—
1216	C₂³	—	2	4	no	—
1217	C₂³	—	2	4	no	—
1218	C₂³	—	2	2	no	—
1219	C₂³	—	2	4	no	—
1220	C₂³	—	2	4	no	—
1221	C₂³	—	2	4	no	—
1222	C₂³	—	2	4	no	—
1223	C₂³	—	2	4	no	—
1224	C₂³	—	2	4	no	—
1225	C₂³	—	2	4	no	—
1226	C₂³	—	2	4	no	—
1227	C₂³	—	2	4	no	—
1228	C₂³	—	2	4	no	—
1229	C₂³	—	4	4	no	—
1230	C₂³	—	4	8	no	—
1231	C₂³	—	4	8	no	—
1232	C₂³	—	4	8	no	—
1233	C₂³	—	4	8	no	—
1234	C₂³	—	4	8	no	—
1235	C₂³	—	8	4	no	—
1236	C₂³	—	8	8	no	—
1237	C₂³	—	8	4	no	—
1238	C₂³	—	8	8	no	—
1239	C₂³	—	8	4	no	—
1240	C₂³	—	8	4	no	—
1241	C₂³	—	8	4	no	—
1242	C₂³	—	8	4	no	—
1243	C₂³	—	8	4	no	—
1244	C₂³	—	8	4	no	—
1245	C₂³	—	8	2	no	—
1246	C₂³	—	8	4	no	—
1247	C₂³	—	8	8	no	—
1248	C₂³	—	8	4	no	—
1249	C₂³	—	8	8	no	—
1250	C₂³	—	8	8	no	—
1251	C₂³	—	8	8	no	—
1252	C₂³	—	8	4	no	—
1253	C₂³	—	8	64	no	—
1254	C₂³	—	16	2	no	—
1255	C₂³	—	16	2	no	—
1256	C₂³	—	16	2	no	—
1257	C₂³	—	16	4	no	—
1258	C₂³	—	16	2	no	—
1259	C₂³	—	16	2	no	—
1260	C₂³	—	16	4	no	—
1261	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1262	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1263	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1264	C₂³	#585	1	2	yes	—
1265	C₂³	C₂⁶	1	1	yes	characteristic
1266	Q₈	—	4	8	no	—
1267	Q₈	—	8	8	no	—
1268	Q₈	—	8	4	no	—
1269	Q₈	—	8	4	no	—
1270	Q₈	—	16	2	no	—
1271	Q₈	—	16	4	no	—
1272	D₄	—	4	8	no	—
1273	D₄	—	4	8	no	—
1274	D₄	—	8	8	no	—
1275	D₄	—	8	8	no	—
1276	D₄	—	8	8	no	—
1277	D₄	—	8	8	no	—
1278	D₄	—	8	8	no	—
1279	D₄	—	8	4	no	—
1280	D₄	—	8	4	no	—
1281	D₄	—	8	8	no	—
1282	D₄	—	8	8	no	—
1283	D₄	—	8	8	no	—
1284	D₄	—	8	8	no	—
1285	D₄	—	8	8	no	—
1286	D₄	—	8	8	no	—
1287	D₄	—	8	4	no	—
1288	D₄	—	8	4	no	—
1289	D₄	—	16	4	no	—
1290	D₄	—	16	4	no	—
1291	D₄	—	16	4	no	—
1292	D₄	—	16	4	no	—
1293	C₂×C₄	—	2	4	no	—
1294	C₂×C₄	—	2	2	no	—
1295	C₂×C₄	—	2	4	no	—
1296	C₂×C₄	—	2	4	no	—
1297	C₂×C₄	—	2	2	no	—
1298	C₂×C₄	—	2	4	no	—
1299	C₂×C₄	—	2	4	no	—
1300	C₂×C₄	—	2	2	no	—
1301	C₂×C₄	—	2	4	no	—
1302	C₂×C₄	—	2	2	no	—
1303	C₂×C₄	—	2	4	no	—
1304	C₂×C₄	—	2	2	no	—
1305	C₂×C₄	—	2	4	no	—
1306	C₂×C₄	—	2	2	no	—
1307	C₂×C₄	—	2	2	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	2	no	—
1310	C₂×C₄	—	2	4	no	—
1311	C₂×C₄	—	2	4	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	2	4	no	—
1314	C₂×C₄	—	2	2	no	—
1315	C₂×C₄	—	2	4	no	—
1316	C₂×C₄	—	2	4	no	—
1317	C₂×C₄	—	2	4	no	—
1318	C₂×C₄	—	2	4	no	—
1319	C₂×C₄	—	2	4	no	—
1320	C₂×C₄	—	2	4	no	—
1321	C₂×C₄	—	2	4	no	—
1322	C₂×C₄	—	2	4	no	—
1323	C₂×C₄	—	2	4	no	—
1324	C₂×C₄	—	2	4	no	—
1325	C₂×C₄	—	2	4	no	—
1326	C₂×C₄	—	2	4	no	—
1327	C₂×C₄	—	2	4	no	—
1328	C₂×C₄	—	2	4	no	—
1329	C₂×C₄	—	2	4	no	—
1330	C₂×C₄	—	2	4	no	—
1331	C₂×C₄	—	2	4	no	—
1332	C₂×C₄	—	2	4	no	—
1333	C₂×C₄	—	2	4	no	—
1334	C₂×C₄	—	4	4	no	—
1335	C₂×C₄	—	4	8	no	—
1336	C₂×C₄	—	8	4	no	—
1337	C₂×C₄	—	8	4	no	—
1338	C₂×C₄	—	8	2	no	—
1339	C₂×C₄	—	8	4	no	—
1340	C₂×C₄	—	8	4	no	—
1341	C₂×C₄	—	8	8	no	—
1342	C₂×C₄	—	8	8	no	—
1343	C₂×C₄	—	8	8	no	—
1344	C₂×C₄	—	16	2	no	—
1345	C₂×C₄	—	16	4	no	—
1346	C₂×C₄	—	16	2	no	—
1347	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1348	C₂²	—	2	4	no	—
1349	C₂²	—	2	4	no	—
1350	C₂²	—	2	2	no	—
1351	C₂²	—	2	2	no	—
1352	C₂²	—	2	2	no	—
1353	C₂²	—	2	4	no	—
1354	C₂²	—	2	4	no	—
1355	C₂²	—	2	8	no	—
1356	C₂²	—	4	2	no	—
1357	C₂²	—	4	2	no	—
1358	C₂²	—	4	2	no	—
1359	C₂²	—	4	2	no	—
1360	C₂²	—	4	4	no	—
1361	C₂²	—	4	2	no	—
1362	C₂²	—	4	2	no	—
1363	C₂²	—	4	2	no	—
1364	C₂²	—	4	2	no	—
1365	C₂²	—	4	4	no	—
1366	C₂²	—	4	4	no	—
1367	C₂²	—	4	4	no	—
1368	C₂²	—	4	4	no	—
1369	C₂²	—	4	4	no	—
1370	C₂²	—	4	2	no	—
1371	C₂²	—	4	4	no	—
1372	C₂²	—	4	2	no	—
1373	C₂²	—	4	4	no	—
1374	C₂²	—	4	4	no	—
1375	C₂²	—	4	4	no	—
1376	C₂²	—	4	2	no	—
1377	C₂²	—	4	4	no	—
1378	C₂²	—	4	4	no	—
1379	C₂²	—	4	4	no	—
1380	C₂²	—	4	4	no	—
1381	C₂²	—	4	4	no	—
1382	C₂²	—	4	4	no	—
1383	C₂²	—	4	4	no	—
1384	C₂²	—	8	8	no	—
1385	C₂²	—	8	16	no	—
1386	C₂²	—	8	16	no	—
1387	C₂²	—	8	16	no	—
1388	C₂²	—	16	4	no	—
1389	C₂²	—	16	4	no	—
1390	C₂²	—	16	8	no	—
1391	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1392	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1393	C₂²	C₂×#585	1	1	yes	characteristic
1394	C₂²	H(7,𝔽₂)	1	4	yes	—
1395	C₄	—	2	4	no	—
1396	C₄	—	4	2	no	—
1397	C₄	—	4	4	no	—
1398	C₄	—	4	2	no	—
1399	C₄	—	4	2	no	—
1400	C₄	—	4	4	no	—
1401	C₄	—	4	4	no	—
1402	C₄	—	4	4	no	—
1403	C₄	—	4	2	no	—
1404	C₄	—	4	2	no	—
1405	C₄	—	4	4	no	—
1406	C₄	—	4	2	no	—
1407	C₄	—	4	2	no	—
1408	C₄	—	4	4	no	—
1409	C₄	—	4	4	no	—
1410	C₄	—	4	4	no	—
1411	C₂	—	4	2	no	—
1412	C₂	—	4	2	no	—
1413	C₂	—	4	2	no	—
1414	C₂	—	4	4	no	—
1415	C₂	—	8	4	no	—
1416	C₂	—	8	4	no	—
1417	C₂	—	8	2	no	—
1418	C₂	#62818	1	1	yes	characteristic
1419	C₂	#62863	1	2	yes	—
1420	C₂	#63045	1	2	yes	—
1421	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. #58924	C₂	semidirect
2. #58260	C₂	semidirect
3. #56633	C₂	semidirect
4. #56295	C₂	semidirect
5. #54405	C₂	semidirect
6. #52990	C₂	semidirect
7. #52943	C₂	semidirect
8. #52422	C₂	semidirect
9. #50742	C₂	semidirect
10. #50693	C₂	semidirect
11. #50480	C₂	semidirect
12. #49562	C₂	semidirect
13. #48149	C₂	semidirect
14. #47848	C₂	semidirect
15. #47141	C₂	semidirect
16. #47035	C₂	semidirect
17. #46996	C₂	semidirect
18. #45458	C₂	semidirect
19. #45439	C₂	semidirect
20. #40660	C₂	semidirect
21. #36702	C₂	semidirect
22. #35703	C₂	semidirect
23. #35348	C₂	semidirect
24. C₂×H(3,𝔽₄)	C₂²	semidirect
25. C₂×H(3,𝔽₄)	C₂²	semidirect
26. C₂×#548	C₂²	semidirect
27. C₂×#535	C₂²	semidirect
30. C₂²×#120	C₂²	semidirect
31. C₂×#518	C₂²	semidirect
32. #2846	C₂²	semidirect
33. #2840	C₂²	semidirect
34. #2840	C₂²	semidirect
35. #2838	C₂²	semidirect
36. #2832	C₂²	semidirect
37. #2832	C₂²	semidirect
38. #2830	C₂²	semidirect
39. #2826	C₂²	semidirect
40. #2826	C₂²	semidirect
41. #2824	C₂²	semidirect
42. #2824	C₂²	semidirect
43. #2817	C₂²	semidirect
44. #2812	C₂²	semidirect
45. #2812	C₂²	semidirect
46. #2812	C₂²	semidirect
47. #2808	C₂²	semidirect
48. #2797	C₂²	semidirect
49. #2797	C₂²	semidirect
50. #2764	C₂²	semidirect
51. #2760	C₂²	semidirect
52. #2760	C₂²	semidirect
53. #2760	C₂²	semidirect
54. #2760	C₂²	semidirect
55. #2759	C₂²	semidirect
56. #2759	C₂²	semidirect
57. #2756	C₂²	semidirect
58. #2756	C₂²	semidirect
59. #2756	C₂²	semidirect
60. #2751	C₂²	semidirect
61. #2751	C₂²	semidirect
62. #2740	C₂²	semidirect
63. #2737	C₂²	semidirect
64. #2736	C₂²	semidirect
65. #2736	C₂²	semidirect
66. #2736	C₂²	semidirect
67. #2735	C₂²	semidirect
68. #2731	C₂²	semidirect
69. #2730	C₂²	semidirect
70. #2730	C₂²	semidirect
71. #2728	C₂²	semidirect
72. #2717	C₂²	semidirect
73. #2712	C₂²	semidirect
74. #2712	C₂²	semidirect
75. #2712	C₂²	semidirect
76. #2712	C₂²	semidirect
77. #2710	C₂²	semidirect
78. #2700	C₂²	semidirect
79. #2700	C₂²	semidirect
80. #2700	C₂²	semidirect
81. #2697	C₂²	semidirect
82. #2692	C₂²	semidirect
83. #2686	C₂²	semidirect
84. #2686	C₂²	semidirect
85. #2684	C₂²	semidirect
86. #2684	C₂²	semidirect
87. #2684	C₂²	semidirect
88. #2684	C₂²	semidirect
89. #2684	C₂²	semidirect
90. #2684	C₂²	semidirect
91. #2684	C₂²	semidirect
92. #2684	C₂²	semidirect
93. #2679	C₂²	semidirect
94. #2679	C₂²	semidirect
95. #2677	C₂²	semidirect
96. #2676	C₂²	semidirect
97. #2676	C₂²	semidirect
98. #2676	C₂²	semidirect
99. #2672	C₂²	semidirect
102. #2670	C₂²	semidirect
103. #2670	C₂²	semidirect
104. #2670	C₂²	semidirect
105. #2670	C₂²	semidirect
107. #2669	C₂²	semidirect
108. #2669	C₂²	semidirect
109. #2669	C₂²	semidirect
110. #2668	C₂²	semidirect
111. #2668	C₂²	semidirect
112. #2668	C₂²	semidirect
113. #2668	C₂²	semidirect
114. #2668	C₂²	semidirect
115. #2653	C₂²	semidirect
116. #2653	C₂²	semidirect
117. #2648	C₂²	semidirect
118. #2648	C₂²	semidirect
119. #2640	C₂²	semidirect
120. #2638	C₂²	semidirect
121. #2632	C₂²	semidirect
122. #2631	C₂²	semidirect
123. #2631	C₂²	semidirect
124. #2631	C₂²	semidirect
125. #2622	C₂²	semidirect
126. #2617	C₂²	semidirect
127. #2617	C₂²	semidirect
128. #2610	C₂²	semidirect
129. #2607	C₂²	semidirect
130. #2599	C₂²	semidirect
131. #2594	C₂²	semidirect
132. #2592	C₂²	semidirect
133. #2578	C₂²	semidirect
134. #2561	C₂²	semidirect
135. #2561	C₂²	semidirect
136. #2557	C₂²	semidirect
137. #2555	C₂²	semidirect
138. #2555	C₂²	semidirect
139. #2555	C₂²	semidirect
140. #2544	C₂²	semidirect
141. #2544	C₂²	semidirect
142. #2543	C₂²	semidirect
143. #2543	C₂²	semidirect
144. #2543	C₂²	semidirect
145. #2534	C₂²	semidirect
146. #2534	C₂²	semidirect
147. #2526	C₂²	semidirect
148. #2523	C₂²	semidirect
149. #2516	C₂²	semidirect
150. #2516	C₂²	semidirect
151. #2510	C₂²	semidirect
152. #2510	C₂²	semidirect
153. #2492	C₂²	semidirect
154. #2491	C₂²	semidirect
155. #2491	C₂²	semidirect
156. #2482	C₂²	semidirect
157. #2482	C₂²	semidirect
158. #2477	C₂²	semidirect
159. #2474	C₂²	semidirect
160. #2474	C₂²	semidirect
161. #2472	C₂²	semidirect
162. #2472	C₂²	semidirect
163. #2472	C₂²	semidirect
164. #2472	C₂²	semidirect
165. #2472	C₂²	semidirect
166. #2472	C₂²	semidirect
167. #2472	C₂²	semidirect
168. #2472	C₂²	semidirect
169. #2463	C₂²	semidirect
170. #2459	C₂²	semidirect
171. #2459	C₂²	semidirect
172. #2459	C₂²	semidirect
173. #2444	C₂²	semidirect
174. #2444	C₂²	semidirect
175. #2444	C₂²	semidirect
176. #2436	C₂²	semidirect
177. #2436	C₂²	semidirect
179. #2435	C₂²	semidirect
180. #2432	C₂²	semidirect
181. #2427	C₂²	semidirect
182. #2424	C₂²	semidirect
183. #2424	C₂²	semidirect
184. #2424	C₂²	semidirect
185. #2424	C₂²	semidirect
186. #2411	C₂²	semidirect
187. #2410	C₂²	semidirect
188. #2410	C₂²	semidirect
189. #2410	C₂²	semidirect
190. #2409	C₂²	semidirect
193. #2408	C₂²	semidirect
196. #2404	C₂²	semidirect
197. #2404	C₂²	semidirect
198. #2404	C₂²	semidirect
199. #2404	C₂²	semidirect
201. #2403	C₂²	semidirect
202. #2403	C₂²	semidirect
203. #2398	C₂²	semidirect
204. #2388	C₂²	semidirect
205. C₂×#393	C₂²	semidirect
206. #2375	C₂²	semidirect
207. #2375	C₂²	semidirect
208. #2364	C₂²	semidirect
209. #2358	C₂²	semidirect
210. #2358	C₂²	semidirect
211. #2353	C₂²	semidirect
212. #2337	C₂²	semidirect
213. #2332	C₂²	semidirect
214. #2315	C₂²	semidirect
216. #2308	C₂²	semidirect
217. #2308	C₂²	semidirect
218. C₂×#379	C₂²	semidirect
222. C₂³×Q₈	C₂³	semidirect
233. C₂×C₄⋊Q₈	C₂³	semidirect
246. C₂×#124	C₂³	semidirect
247. C₂×#124	C₂³	semidirect
248. C₂×#124	C₂³	semidirect
249. C₂×#124	C₂³	semidirect
256. C₂×C₂²⋊Q₈	C₂³	semidirect
257. C₂×C₂²⋊Q₈	C₂³	semidirect
267. C₂×#121	C₂³	semidirect
268. C₂×#121	C₂³	semidirect
291. C₂×#120	C₂³	semidirect
292. C₂×#120	C₂³	semidirect
294. C₂×C₄×Q₈	C₂³	semidirect
299. C₂×C₄×D₄	C₂³	semidirect
300. C₂×C₄×D₄	C₂³	semidirect
301. C₂×C₄×D₄	C₂³	semidirect
313. C₂²×C₂²⋊C₄	C₂³	semidirect
314. #401	C₂³	semidirect
315. #401	C₂³	semidirect
316. #400	C₂³	semidirect
317. #400	C₂³	semidirect
318. #400	C₂³	semidirect
319. #400	C₂³	semidirect
320. #400	C₂³	semidirect
324. #399	C₂³	semidirect
325. #398	C₂³	semidirect
326. #398	C₂³	semidirect
327. #398	C₂³	semidirect
345. #397	C₂³	semidirect
346. #397	C₂³	semidirect
347. #397	C₂³	semidirect
348. #397	C₂³	semidirect
349. #397	C₂³	semidirect
350. #397	C₂³	semidirect
351. #397	C₂³	semidirect
352. #397	C₂³	semidirect
353. #397	C₂³	semidirect
354. #397	C₂³	semidirect
357. #396	C₂³	semidirect
358. #396	C₂³	semidirect
359. #396	C₂³	semidirect
360. #395	C₂³	semidirect
361. #395	C₂³	semidirect
362. #395	C₂³	semidirect
363. #395	C₂³	semidirect
364. #395	C₂³	semidirect
395. #394	C₂³	semidirect
396. #394	C₂³	semidirect
397. #394	C₂³	semidirect
398. #394	C₂³	semidirect
399. #394	C₂³	semidirect
400. #394	C₂³	semidirect
401. #394	C₂³	semidirect
419. #393	C₂³	semidirect
420. #393	C₂³	semidirect
421. #393	C₂³	semidirect
422. #393	C₂³	semidirect
423. #393	C₂³	semidirect
424. #393	C₂³	semidirect
425. #393	C₂³	semidirect
426. #393	C₂³	semidirect
427. #393	C₂³	semidirect
428. #393	C₂³	semidirect
448. #392	C₂³	semidirect
449. #392	C₂³	semidirect
450. #391	C₂³	semidirect
451. #391	C₂³	semidirect
452. #391	C₂³	semidirect
453. #391	C₂³	semidirect
454. #391	C₂³	semidirect
455. #391	C₂³	semidirect
456. #391	C₂³	semidirect
457. #391	C₂³	semidirect
458. #391	C₂³	semidirect
471. #390	C₂³	semidirect
472. #389	C₂³	semidirect
497. #388	C₂³	semidirect
498. #388	C₂³	semidirect
499. #388	C₂³	semidirect
500. #388	C₂³	semidirect
501. #388	C₂³	semidirect
502. #388	C₂³	semidirect
503. #388	C₂³	semidirect
504. #388	C₂³	semidirect
505. #388	C₂³	semidirect
506. #388	C₂³	semidirect
507. #388	C₂³	semidirect
508. #388	C₂³	semidirect
509. #388	C₂³	semidirect
510. #387	C₂³	semidirect
511. #387	C₂³	semidirect
512. #387	C₂³	semidirect
513. #387	C₂³	semidirect
514. #387	C₂³	semidirect
515. #387	C₂³	semidirect
516. #387	C₂³	semidirect
517. #387	C₂³	semidirect
518. #387	C₂³	semidirect
519. #387	C₂³	semidirect
520. #387	C₂³	semidirect
555. #386	C₂³	semidirect
556. #386	C₂³	semidirect
557. #386	C₂³	semidirect
558. #386	C₂³	semidirect
559. #386	C₂³	semidirect
560. #386	C₂³	semidirect
561. #386	C₂³	semidirect
562. #386	C₂³	semidirect
563. #386	C₂³	semidirect
564. #386	C₂³	semidirect
565. #386	C₂³	semidirect
571. #385	C₂³	semidirect
572. #385	C₂³	semidirect
573. #385	C₂³	semidirect
574. #385	C₂³	semidirect
575. #385	C₂³	semidirect
576. #383	C₂³	semidirect
577. #383	C₂³	semidirect
578. #383	C₂³	semidirect
585. #381	C₂³	semidirect
586. #381	C₂³	semidirect
587. #381	C₂³	semidirect
590. #380	C₂³	semidirect
591. #380	C₂³	semidirect
592. #380	C₂³	semidirect
607. #379	C₂³	semidirect
608. C₄×C₄⋊C₄	C₂³	semidirect
609. C₄×C₄⋊C₄	C₂³	semidirect
614. C₄×C₂²⋊C₄	C₂³	semidirect
615. C₄×C₂²⋊C₄	C₂³	semidirect
616. C₄×C₂²⋊C₄	C₂³	semidirect
617. C₄×C₂²⋊C₄	C₂³	semidirect
618. C₄×C₂²⋊C₄	C₂³	semidirect
619. #376	C₂³	semidirect
620. C₂×#95	C₂³	semidirect
621. 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
#58924	2
#58260	2
#56633	2
#56295	2
#54405	2
#52990	2
#52943	2
#52422	2
#50742	2
#50693	2
#50480	2
#49562	2
#48149	2
#47848	2
#47141	2
#47035	2
#46996	2
#45458	2
#45439	2
#40660	2
#36702	2
#35703	2
#35348	2