Subgroups — #8751738

Order 512.

6382 conjugacy classes of subgroups.

The subgroup lattice has 1532 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#57974	C₂	1	4	yes	maximal, complemented
2	#56353	C₂	1	4	yes	maximal, complemented
3	#55417	C₂	1	4	yes	maximal, complemented
4	#55320	C₂	1	4	yes	maximal, complemented
5	#54815	C₂	1	4	yes	maximal, complemented
6	#53455	C₂	1	4	yes	maximal, complemented
7	#52054	C₂	1	1	yes	maximal, characteristic, complemented
8	#51993	C₂	1	2	yes	maximal, complemented
9	#51902	C₂	1	1	yes	maximal, characteristic, complemented
10	#50635	C₂	1	2	yes	maximal, complemented
11	#48997	C₂	1	2	yes	maximal, complemented
12	#48088	C₂	1	2	yes	maximal, complemented
13	#47848	C₂	1	2	yes	maximal, complemented
14	#47658	C₂	1	2	yes	maximal, complemented
15	#46601	C₂	1	4	yes	maximal, complemented
16	#46428	C₂	1	2	yes	maximal, complemented
17	#46354	C₂	1	4	yes	maximal, complemented
18	#45460	C₂	1	2	yes	maximal, complemented
19	#45458	C₂	1	4	yes	maximal, complemented
20	#45441	C₂	1	2	yes	maximal, complemented
21	#45438	C₂	1	4	yes	maximal, complemented
22	#35222	C₂	1	1	yes	maximal, characteristic, complemented
23	#34980	C₂	1	2	yes	maximal, complemented
24	C₂⁴×D₄	C₂²	1	1	yes	characteristic
25	C₂×H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
26	C₂×#560	C₂²	1	2	yes	—
27	C₂×#559	C₂²	1	1	yes	characteristic, complemented
28	C₂×#537	C₂²	1	2	yes	complemented
29	C₂×#535	C₂²	1	1	yes	characteristic
30	C₂×#535	C₂²	1	1	yes	characteristic, complemented
31	C₂×#534	C₂²	1	2	yes	—
32	C₂×#534	C₂²	1	2	yes	complemented
33	C₂×#525	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#120	C₂²	1	2	yes	complemented
35	#2849	C₂²	1	4	yes	complemented
36	#2846	C₂²	1	4	yes	—
37	#2846	C₂²	1	4	yes	complemented
38	#2840	C₂²	1	2	yes	complemented
39	#2837	C₂²	1	4	yes	complemented
40	#2830	C₂²	1	2	yes	complemented
41	#2828	C₂²	1	4	yes	complemented
42	#2825	C₂²	1	4	yes	complemented
43	#2825	C₂²	1	4	yes	complemented
44	#2819	C₂²	1	4	yes	complemented
45	#2816	C₂²	1	4	yes	complemented
46	#2815	C₂²	1	2	yes	complemented
47	#2812	C₂²	1	2	yes	—
48	#2812	C₂²	1	4	yes	complemented
49	#2804	C₂²	1	2	yes	complemented
50	#2803	C₂²	1	4	yes	complemented
51	#2796	C₂²	1	4	yes	complemented
52	#2781	C₂²	1	4	yes	complemented
53	#2764	C₂²	1	2	yes	complemented
54	#2760	C₂²	1	2	yes	complemented
55	#2756	C₂²	1	4	yes	complemented
56	#2752	C₂²	1	4	yes	complemented
57	#2751	C₂²	1	4	yes	complemented
58	#2749	C₂²	1	4	yes	complemented
59	#2749	C₂²	1	4	yes	complemented
60	#2745	C₂²	1	4	yes	complemented
61	#2737	C₂²	1	4	yes	complemented
62	#2736	C₂²	1	4	yes	complemented
63	#2736	C₂²	1	4	yes	complemented
64	#2736	C₂²	1	4	yes	complemented
65	#2733	C₂²	1	2	yes	complemented
66	#2730	C₂²	1	4	yes	complemented
67	#2724	C₂²	1	2	yes	complemented
68	#2717	C₂²	1	2	yes	complemented
69	#2712	C₂²	1	4	yes	complemented
70	#2710	C₂²	1	4	yes	complemented
71	#2710	C₂²	1	4	yes	complemented
72	#2709	C₂²	1	2	yes	complemented
73	#2709	C₂²	1	2	yes	complemented
74	#2706	C₂²	1	4	yes	complemented
75	#2700	C₂²	1	4	yes	complemented
76	#2699	C₂²	1	2	yes	complemented
77	#2699	C₂²	1	4	yes	complemented
78	#2698	C₂²	1	4	yes	complemented
79	#2697	C₂²	1	4	yes	complemented
80	#2697	C₂²	1	2	yes	complemented
81	#2696	C₂²	1	4	yes	complemented
82	#2696	C₂²	1	4	yes	complemented
83	#2696	C₂²	1	4	yes	complemented
84	#2688	C₂²	1	4	yes	complemented
85	#2688	C₂²	1	4	yes	complemented
86	#2688	C₂²	1	4	yes	complemented
87	#2688	C₂²	1	4	yes	complemented
88	#2687	C₂²	1	4	yes	complemented
89	#2687	C₂²	1	4	yes	complemented
90	#2686	C₂²	1	4	yes	complemented
91	#2685	C₂²	1	4	yes	complemented
92	#2685	C₂²	1	4	yes	complemented
93	#2684	C₂²	1	4	yes	complemented
94	#2684	C₂²	1	4	yes	complemented
95	#2684	C₂²	1	4	yes	complemented
96	#2684	C₂²	1	4	yes	complemented
97	#2684	C₂²	1	4	yes	complemented
98	#2684	C₂²	1	4	yes	complemented
99	#2683	C₂²	1	2	yes	complemented
100	#2682	C₂²	1	4	yes	complemented
101	#2678	C₂²	1	4	yes	complemented
102	#2678	C₂²	1	4	yes	complemented
103	#2678	C₂²	1	4	yes	complemented
104	#2678	C₂²	1	4	yes	complemented
105	#2676	C₂²	1	4	yes	complemented
106	#2676	C₂²	1	4	yes	complemented
107	#2676	C₂²	1	4	yes	complemented
108	#2673	C₂²	1	4	yes	complemented
109	#2673	C₂²	1	4	yes	complemented
110	#2672	C₂²	1	4	yes	complemented
111	#2670	C₂²	1	4	yes	complemented
112	#2670	C₂²	1	4	yes	complemented
113	#2670	C₂²	1	4	yes	complemented
114	#2670	C₂²	1	4	yes	complemented
115	#2669	C₂²	1	4	yes	complemented
116	#2669	C₂²	1	4	yes	complemented
117	#2669	C₂²	1	4	yes	complemented
118	#2669	C₂²	1	4	yes	complemented
119	#2669	C₂²	1	2	yes	complemented
120	#2668	C₂²	1	4	yes	complemented
121	#2668	C₂²	1	4	yes	complemented
122	#2668	C₂²	1	4	yes	complemented
123	#2657	C₂²	1	2	yes	complemented
124	#2653	C₂²	1	4	yes	complemented
125	#2648	C₂²	1	4	yes	complemented
126	#2632	C₂²	1	2	yes	complemented
127	#2631	C₂²	1	4	yes	complemented
128	#2630	C₂²	1	4	yes	complemented
129	#2617	C₂²	1	4	yes	complemented
130	#2613	C₂²	1	4	yes	—
131	#2613	C₂²	1	4	yes	complemented
132	#2613	C₂²	1	4	yes	complemented
133	#2610	C₂²	1	2	yes	complemented
134	#2602	C₂²	1	4	yes	complemented
135	#2599	C₂²	1	2	yes	complemented
136	#2591	C₂²	1	2	yes	complemented
137	#2576	C₂²	1	4	yes	complemented
138	#2572	C₂²	1	4	yes	complemented
139	#2561	C₂²	1	4	yes	complemented
140	#2561	C₂²	1	4	yes	complemented
141	#2561	C₂²	1	4	yes	complemented
142	#2557	C₂²	1	4	yes	complemented
143	#2555	C₂²	1	4	yes	complemented
144	#2555	C₂²	1	4	yes	complemented
145	#2555	C₂²	1	2	yes	complemented
146	#2527	C₂²	1	4	yes	complemented
147	#2526	C₂²	1	4	yes	complemented
148	#2518	C₂²	1	4	yes	complemented
149	#2480	C₂²	1	4	yes	complemented
150	#2480	C₂²	1	4	yes	complemented
151	#2477	C₂²	1	4	yes	complemented
152	#2472	C₂²	1	4	yes	complemented
153	#2472	C₂²	1	4	yes	complemented
154	#2472	C₂²	1	4	yes	complemented
155	#2472	C₂²	1	4	yes	complemented
156	#2472	C₂²	1	4	yes	complemented
157	#2472	C₂²	1	4	yes	complemented
158	#2472	C₂²	1	4	yes	complemented
159	#2470	C₂²	1	4	yes	complemented
160	#2466	C₂²	1	4	yes	complemented
161	#2464	C₂²	1	4	yes	complemented
162	#2464	C₂²	1	4	yes	complemented
163	#2458	C₂²	1	4	yes	complemented
164	#2443	C₂²	1	4	yes	complemented
165	#2443	C₂²	1	4	yes	complemented
166	#2435	C₂²	1	2	yes	—
167	#2435	C₂²	1	2	yes	complemented
168	#2433	C₂²	1	2	yes	—
169	#2433	C₂²	1	2	yes	complemented
170	#2433	C₂²	1	4	yes	complemented
171	#2431	C₂²	1	4	yes	complemented
172	#2431	C₂²	1	2	yes	complemented
173	#2431	C₂²	1	4	yes	complemented
174	#2427	C₂²	1	4	yes	complemented
175	#2426	C₂²	1	4	yes	complemented
176	#2424	C₂²	1	4	yes	complemented
177	#2424	C₂²	1	4	yes	complemented
178	#2420	C₂²	1	4	yes	complemented
179	#2418	C₂²	1	4	yes	complemented
180	#2418	C₂²	1	4	yes	complemented
181	#2410	C₂²	1	4	yes	—
182	#2410	C₂²	1	4	yes	—
183	#2410	C₂²	1	4	yes	complemented
184	#2410	C₂²	1	4	yes	complemented
185	#2410	C₂²	1	4	yes	complemented
186	#2410	C₂²	1	4	yes	complemented
187	#2408	C₂²	1	4	yes	complemented
188	#2408	C₂²	1	4	yes	complemented
189	#2408	C₂²	1	4	yes	complemented
190	#2408	C₂²	1	4	yes	complemented
191	#2406	C₂²	1	2	yes	complemented
192	#2405	C₂²	1	2	yes	—
193	#2405	C₂²	1	2	yes	—
194	#2405	C₂²	1	2	yes	complemented
195	#2405	C₂²	1	2	yes	complemented
196	#2405	C₂²	1	4	yes	complemented
197	#2404	C₂²	1	4	yes	complemented
198	#2404	C₂²	1	4	yes	complemented
199	#2404	C₂²	1	4	yes	complemented
200	#2404	C₂²	1	4	yes	complemented
201	#2403	C₂²	1	2	yes	—
202	#2403	C₂²	1	2	yes	—
203	#2403	C₂²	1	2	yes	complemented
204	#2403	C₂²	1	2	yes	complemented
205	#2380	C₂²	1	1	yes	characteristic, complemented
206	#2376	C₂²	1	2	yes	complemented
207	#2375	C₂²	1	4	yes	complemented
208	#2375	C₂²	1	2	yes	complemented
209	#2372	C₂²	1	1	yes	characteristic, complemented
210	#2358	C₂²	1	2	yes	complemented
211	#2333	C₂²	1	2	yes	complemented
212	#2333	C₂²	1	4	yes	complemented
213	#2309	C₂²	1	1	yes	characteristic
214	#2309	C₂²	1	1	yes	characteristic, complemented
215	#2308	C₂²	1	2	yes	—
216	#2308	C₂²	1	2	yes	complemented
217	#2280	C₂²	1	1	yes	characteristic, complemented
218	C₂×#379	C₂²	1	2	yes	complemented
219	C₂⁶	C₂³	1	2	yes	—
220	C₂²×#41	C₂³	1	1	yes	characteristic
221	C₂²×#41	C₂³	1	4	yes	complemented
222	C₂³×D₄	—	4	4	no	—
223	C₂³×D₄	—	4	4	no	—
224	C₂³×D₄	—	4	4	no	—
225	C₂³×D₄	C₂³	1	2	yes	—
226	C₂³×D₄	C₂³	1	2	yes	—
227	C₂³×D₄	C₂³	1	1	yes	characteristic
228	C₂³×D₄	C₂³	1	1	yes	characteristic
229	C₂³×D₄	C₂³	1	2	yes	—
230	C₂³×D₄	C₂³	1	2	yes	—
231	C₂³×D₄	C₂³	1	2	yes	—
232	C₂³×D₄	C₂³	1	2	yes	—
233	C₂³×D₄	C₂³	1	2	yes	—
234	C₂³×D₄	C₂³	1	2	yes	—
235	C₂⁴×C₄	C₂³	1	1	yes	characteristic
236	H(3,𝔽₄)	—	4	4	no	—
237	#560	—	4	8	no	—
238	#559	—	4	4	no	—
239	#537	—	4	8	no	—
240	#535	—	4	4	no	—
241	#535	—	4	4	no	—
242	#534	—	4	8	no	—
243	#534	—	4	8	no	—
244	C₂×#127	C₂³	1	1	yes	characteristic
245	C₂×#127	C₂³	1	1	yes	characteristic
246	C₂×#127	C₂³	1	2	yes	—
247	C₂×#127	C₂³	1	2	yes	—
248	C₂×#127	C₂³	1	4	yes	complemented
249	C₂×#126	C₂³	1	4	yes	—
250	C₂×#124	C₂³	1	1	yes	characteristic
251	C₂×#124	C₂³	1	1	yes	characteristic
252	C₂×#124	C₂³	1	2	yes	—
253	C₂×#124	C₂³	1	2	yes	complemented
254	C₂×#124	C₂³	1	4	yes	complemented
255	C₂×#124	C₂³	1	4	yes	complemented
256	C₂×#124	C₂³	1	2	yes	complemented
257	C₂×#124	C₂³	1	4	yes	complemented
258	C₂×#124	C₂³	1	4	yes	complemented
259	C₂×#124	C₂³	1	4	yes	complemented
260	C₂×#124	C₂³	1	4	yes	complemented
261	#525	—	4	4	no	—
262	C₂×#123	C₂³	1	2	yes	—
263	C₂×#123	C₂³	1	4	yes	—
264	C₂×#123	C₂³	1	4	yes	—
265	C₂×#123	C₂³	1	2	yes	—
266	C₂×#123	C₂³	1	2	yes	—
267	C₂×#123	C₂³	1	2	yes	—
268	C₂×#123	C₂³	1	2	yes	—
269	C₂×#123	C₂³	1	4	yes	—
270	C₂×#123	C₂³	1	2	yes	—
271	C₂×#123	C₂³	1	2	yes	complemented
272	C₂×#123	C₂³	1	4	yes	complemented
273	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
274	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
275	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
276	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
277	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
278	C₂×#121	C₂³	1	2	yes	—
279	C₂×#121	C₂³	1	4	yes	—
280	C₂×#121	C₂³	1	4	yes	—
281	C₂×#121	C₂³	1	2	yes	—
282	C₂×#121	C₂³	1	4	yes	—
283	C₂×#121	C₂³	1	4	yes	—
284	C₂×#121	C₂³	1	4	yes	—
285	C₂×#121	C₂³	1	4	yes	—
286	C₂×#121	C₂³	1	4	yes	—
287	C₂×#121	C₂³	1	4	yes	—
288	C₂×#121	C₂³	1	2	yes	—
289	C₂×#121	C₂³	1	4	yes	complemented
290	C₂×#121	C₂³	1	4	yes	complemented
291	C₂×#121	C₂³	1	2	yes	complemented
292	C₂×#121	C₂³	1	4	yes	complemented
293	C₂×#121	C₂³	1	4	yes	complemented
294	C₂×#121	C₂³	1	4	yes	complemented
295	C₂×#120	—	4	8	no	—
296	C₂×#120	C₂³	1	4	yes	—
297	C₂×#120	C₂³	1	2	yes	—
298	C₂×#120	C₂³	1	2	yes	—
299	C₂×#120	C₂³	1	4	yes	—
300	C₂×#120	C₂³	1	4	yes	—
301	C₂×#120	C₂³	1	4	yes	—
302	C₂×#120	C₂³	1	4	yes	—
303	C₂×#120	C₂³	1	4	yes	—
304	C₂×#120	C₂³	1	2	yes	—
305	C₂×#120	C₂³	1	2	yes	—
306	C₂×#120	C₂³	1	2	yes	—
307	C₂×#120	C₂³	1	4	yes	—
308	C₂×#120	C₂³	1	4	yes	—
309	C₂×#120	C₂³	1	4	yes	—
310	C₂×#120	C₂³	1	4	yes	—
311	C₂×#120	C₂³	1	4	yes	—
312	C₂×#120	C₂³	1	4	yes	—
313	C₂×#120	C₂³	1	4	yes	—
314	C₂×#120	C₂³	1	4	yes	—
315	C₂×#120	C₂³	1	4	yes	—
316	C₂×#120	C₂³	1	4	yes	—
317	C₂×#120	C₂³	1	4	yes	complemented
318	C₂×#120	C₂³	1	4	yes	complemented
319	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
320	C₂×C₄×D₄	C₂³	1	4	yes	—
321	C₂×C₄×D₄	C₂³	1	4	yes	complemented
322	C₂×C₄×D₄	C₂³	1	4	yes	complemented
323	C₂×#117	C₂³	1	1	yes	characteristic
324	C₂×#117	C₂³	1	1	yes	characteristic
325	C₂×#117	C₂³	1	1	yes	characteristic
326	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
327	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
328	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
329	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
330	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
331	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
332	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
333	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
334	C₂²×C₂²⋊C₄	C₂³	1	4	yes	complemented
335	#401	C₂³	1	4	yes	complemented
336	#400	C₂³	1	4	yes	complemented
337	#400	C₂³	1	4	yes	complemented
338	#400	C₂³	1	4	yes	complemented
339	#400	C₂³	1	4	yes	complemented
340	#399	C₂³	1	4	yes	complemented
341	#399	C₂³	1	4	yes	complemented
342	#399	C₂³	1	4	yes	complemented
343	#398	C₂³	1	4	yes	complemented
344	#398	C₂³	1	4	yes	complemented
345	#398	C₂³	1	2	yes	complemented
346	#398	C₂³	1	4	yes	complemented
347	#397	C₂³	1	4	yes	—
348	#397	C₂³	1	4	yes	—
349	#397	C₂³	1	4	yes	—
350	#397	C₂³	1	2	yes	—
351	#397	C₂³	1	4	yes	—
352	#397	C₂³	1	4	yes	complemented
353	#397	C₂³	1	4	yes	complemented
354	#397	C₂³	1	4	yes	complemented
355	#397	C₂³	1	4	yes	complemented
356	#397	C₂³	1	4	yes	complemented
357	#397	C₂³	1	4	yes	complemented
358	#397	C₂³	1	4	yes	complemented
359	#397	C₂³	1	4	yes	complemented
360	#397	C₂³	1	4	yes	complemented
361	#397	C₂³	1	4	yes	complemented
362	#397	C₂³	1	4	yes	complemented
363	#397	C₂³	1	4	yes	complemented
364	#397	C₂³	1	4	yes	complemented
365	#397	C₂³	1	4	yes	complemented
366	#397	C₂³	1	4	yes	complemented
367	#397	C₂³	1	4	yes	complemented
368	#396	C₂³	1	4	yes	complemented
369	#396	C₂³	1	4	yes	complemented
370	#396	C₂³	1	4	yes	complemented
371	#396	C₂³	1	4	yes	complemented
372	#396	C₂³	1	4	yes	complemented
373	#396	C₂³	1	4	yes	complemented
374	#395	C₂³	1	2	yes	complemented
375	#395	C₂³	1	2	yes	complemented
376	#395	C₂³	1	4	yes	complemented
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	—
396	#394	C₂³	1	4	yes	—
397	#394	C₂³	1	4	yes	—
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	#394	C₂³	1	4	yes	complemented
403	#394	C₂³	1	4	yes	complemented
404	#394	C₂³	1	4	yes	complemented
405	#394	C₂³	1	4	yes	complemented
406	#394	C₂³	1	4	yes	complemented
407	#394	C₂³	1	4	yes	complemented
408	#394	C₂³	1	4	yes	complemented
409	#394	C₂³	1	4	yes	complemented
410	#394	C₂³	1	4	yes	complemented
411	#394	C₂³	1	4	yes	complemented
412	#394	C₂³	1	4	yes	complemented
413	#394	C₂³	1	2	yes	complemented
414	#394	C₂³	1	4	yes	complemented
415	#393	C₂³	1	2	yes	—
416	#393	C₂³	1	4	yes	—
417	#393	C₂³	1	4	yes	—
418	#393	C₂³	1	4	yes	—
419	#393	C₂³	1	2	yes	—
420	#393	C₂³	1	4	yes	—
421	#393	C₂³	1	4	yes	—
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	4	yes	complemented
426	#393	C₂³	1	4	yes	complemented
427	#393	C₂³	1	4	yes	complemented
428	#393	C₂³	1	4	yes	complemented
429	#393	C₂³	1	4	yes	complemented
430	#392	C₂³	1	4	yes	—
431	#392	C₂³	1	4	yes	—
432	#392	C₂³	1	4	yes	—
433	#392	C₂³	1	4	yes	—
434	#392	C₂³	1	4	yes	—
435	#392	C₂³	1	4	yes	—
436	#392	C₂³	1	2	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	4	yes	—
446	#392	C₂³	1	4	yes	—
447	#392	C₂³	1	4	yes	complemented
448	#392	C₂³	1	4	yes	complemented
449	#392	C₂³	1	4	yes	complemented
450	#392	C₂³	1	4	yes	complemented
451	#392	C₂³	1	4	yes	complemented
452	#392	C₂³	1	4	yes	complemented
453	#392	C₂³	1	4	yes	complemented
454	#392	C₂³	1	4	yes	complemented
455	#392	C₂³	1	4	yes	complemented
456	#392	C₂³	1	4	yes	complemented
457	#392	C₂³	1	4	yes	complemented
458	#392	C₂³	1	4	yes	complemented
459	#391	C₂³	1	4	yes	complemented
460	#391	C₂³	1	2	yes	complemented
461	#391	C₂³	1	4	yes	complemented
462	#391	C₂³	1	4	yes	complemented
463	#390	C₂³	1	4	yes	—
464	#390	C₂³	1	2	yes	—
465	#390	C₂³	1	2	yes	—
466	#390	C₂³	1	2	yes	—
467	#390	C₂³	1	2	yes	—
468	#390	C₂³	1	2	yes	—
469	#390	C₂³	1	2	yes	—
470	#390	C₂³	1	4	yes	—
471	#390	C₂³	1	4	yes	—
472	#390	C₂³	1	4	yes	—
473	#390	C₂³	1	4	yes	—
474	#390	C₂³	1	2	yes	—
475	#390	C₂³	1	4	yes	complemented
476	#390	C₂³	1	4	yes	complemented
477	#390	C₂³	1	4	yes	complemented
478	#390	C₂³	1	4	yes	complemented
479	#390	C₂³	1	4	yes	complemented
480	#390	C₂³	1	4	yes	complemented
481	#389	C₂³	1	4	yes	complemented
482	#389	C₂³	1	4	yes	complemented
483	#389	C₂³	1	4	yes	complemented
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	complemented
494	#388	C₂³	1	4	yes	complemented
495	#388	C₂³	1	4	yes	complemented
496	#388	C₂³	1	4	yes	complemented
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	#388	C₂³	1	4	yes	complemented
511	#388	C₂³	1	4	yes	complemented
512	#388	C₂³	1	4	yes	complemented
513	#388	C₂³	1	4	yes	complemented
514	#388	C₂³	1	4	yes	complemented
515	#388	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	#387	C₂³	1	4	yes	complemented
522	#387	C₂³	1	4	yes	complemented
523	#387	C₂³	1	4	yes	complemented
524	#386	C₂³	1	4	yes	—
525	#386	C₂³	1	2	yes	—
526	#386	C₂³	1	2	yes	—
527	#386	C₂³	1	2	yes	—
528	#386	C₂³	1	2	yes	—
529	#386	C₂³	1	4	yes	—
530	#386	C₂³	1	4	yes	—
531	#386	C₂³	1	2	yes	—
532	#386	C₂³	1	4	yes	—
533	#386	C₂³	1	2	yes	—
534	#386	C₂³	1	2	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	2	yes	—
542	#386	C₂³	1	4	yes	—
543	#386	C₂³	1	4	yes	—
544	#386	C₂³	1	4	yes	—
545	#386	C₂³	1	4	yes	complemented
546	#386	C₂³	1	4	yes	complemented
547	#386	C₂³	1	4	yes	complemented
548	#386	C₂³	1	4	yes	complemented
549	#386	C₂³	1	4	yes	complemented
550	#386	C₂³	1	4	yes	complemented
551	#386	C₂³	1	4	yes	complemented
552	#386	C₂³	1	4	yes	complemented
553	#386	C₂³	1	4	yes	complemented
554	#386	C₂³	1	4	yes	complemented
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	2	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	#386	C₂³	1	4	yes	complemented
567	#386	C₂³	1	4	yes	complemented
568	#386	C₂³	1	4	yes	complemented
569	#386	C₂³	1	4	yes	complemented
570	#386	C₂³	1	4	yes	complemented
571	#385	C₂³	1	4	yes	—
572	#385	C₂³	1	4	yes	—
573	#385	C₂³	1	4	yes	—
574	#385	C₂³	1	4	yes	—
575	#385	C₂³	1	4	yes	complemented
576	#385	C₂³	1	4	yes	complemented
577	#385	C₂³	1	4	yes	complemented
578	#385	C₂³	1	4	yes	complemented
579	#385	C₂³	1	4	yes	complemented
580	#385	C₂³	1	4	yes	complemented
581	#385	C₂³	1	4	yes	complemented
582	#383	C₂³	1	2	yes	complemented
583	#383	C₂³	1	4	yes	complemented
584	#382	C₂³	1	4	yes	complemented
585	#381	C₂³	1	4	yes	—
586	#381	C₂³	1	4	yes	—
587	#381	C₂³	1	2	yes	—
588	#381	C₂³	1	4	yes	complemented
589	#381	C₂³	1	4	yes	complemented
590	#381	C₂³	1	4	yes	complemented
591	#381	C₂³	1	4	yes	complemented
592	#381	C₂³	1	2	yes	complemented
593	#380	C₂³	1	4	yes	—
594	#380	C₂³	1	4	yes	complemented
595	#380	C₂³	1	4	yes	complemented
596	#380	C₂³	1	4	yes	complemented
597	#379	C₂³	1	4	yes	—
598	#379	C₂³	1	4	yes	—
599	#379	C₂³	1	4	yes	—
600	#379	C₂³	1	4	yes	—
601	#379	C₂³	1	4	yes	—
602	#379	C₂³	1	4	yes	—
603	#379	C₂³	1	4	yes	—
604	#379	C₂³	1	4	yes	—
605	#379	C₂³	1	4	yes	—
606	#379	C₂³	1	2	yes	—
607	#379	C₂³	1	4	yes	—
608	#379	C₂³	1	4	yes	—
609	#379	C₂³	1	4	yes	—
610	#379	C₂³	1	4	yes	—
611	#379	C₂³	1	4	yes	—
612	#379	C₂³	1	2	yes	—
613	#379	C₂³	1	2	yes	—
614	#379	C₂³	1	2	yes	—
615	#379	C₂³	1	2	yes	—
616	#379	C₂³	1	4	yes	complemented
617	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
618	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
619	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
620	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
621	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
622	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
623	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
624	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
625	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
626	#376	C₂³	1	2	yes	complemented
627	C₂⁵	—	2	8	no	—
628	C₂⁵	—	4	4	no	—
629	C₂⁵	—	4	4	no	—
630	C₂⁵	—	8	4	no	—
631	C₂⁵	—	8	4	no	—
632	C₂⁵	C₂⁴	1	2	yes	—
633	C₂⁵	C₂⁴	1	2	yes	—
634	C₂⁵	C₂⁴	1	2	yes	—
635	C₂⁵	C₂⁴	1	2	yes	—
636	C₂⁵	C₂⁴	1	2	yes	—
637	C₂⁵	C₂⁴	1	2	yes	—
638	C₂⁵	C₂⁴	1	2	yes	—
639	C₂⁵	C₂⁴	1	1	yes	characteristic
640	C₂×#41	—	4	2	no	—
641	C₂×#41	—	4	2	no	—
642	C₂×#41	—	4	8	no	—
643	C₂×#41	—	4	2	no	—
644	C₂×#41	—	8	4	no	—
645	C₂×#41	—	8	4	no	—
646	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
647	C₂²×Q₈	C₂⁴	1	2	yes	—
648	C₂²×Q₈	C₂⁴	1	2	yes	—
649	C₂²×Q₈	C₂⁴	1	4	yes	—
650	C₂²×D₄	—	2	8	no	—
651	C₂²×D₄	—	2	8	no	—
652	C₂²×D₄	—	2	4	no	—
653	C₂²×D₄	—	2	4	no	—
654	C₂²×D₄	—	4	2	no	—
655	C₂²×D₄	—	4	2	no	—
656	C₂²×D₄	—	4	4	no	—
657	C₂²×D₄	—	4	4	no	—
658	C₂²×D₄	—	4	2	no	—
659	C₂²×D₄	—	4	2	no	—
660	C₂²×D₄	—	4	4	no	—
661	C₂²×D₄	—	4	4	no	—
662	C₂²×D₄	—	4	4	no	—
663	C₂²×D₄	—	4	4	no	—
664	C₂²×D₄	—	4	4	no	—
665	C₂²×D₄	—	4	4	no	—
666	C₂²×D₄	—	4	4	no	—
667	C₂²×D₄	—	4	4	no	—
668	C₂²×D₄	—	4	4	no	—
669	C₂²×D₄	—	4	4	no	—
670	C₂²×D₄	—	4	4	no	—
671	C₂²×D₄	—	4	4	no	—
672	C₂²×D₄	—	4	4	no	—
673	C₂²×D₄	—	4	4	no	—
674	C₂²×D₄	—	4	4	no	—
675	C₂²×D₄	—	4	4	no	—
676	C₂²×D₄	—	4	64	no	—
677	C₂²×D₄	—	8	4	no	—
678	C₂²×D₄	—	8	4	no	—
679	C₂²×D₄	C₂⁴	1	2	yes	—
680	C₂²×D₄	C₂⁴	1	2	yes	—
681	C₂²×D₄	C₂⁴	1	2	yes	—
682	C₂²×D₄	C₂⁴	1	4	yes	—
683	C₂²×D₄	C₂⁴	1	4	yes	—
684	C₂²×D₄	C₂⁴	1	4	yes	—
685	C₂²×D₄	C₂⁴	1	2	yes	—
686	C₂²×D₄	C₂⁴	1	4	yes	—
687	C₂²×D₄	C₂⁴	1	4	yes	—
688	C₂²×D₄	C₂⁴	1	4	yes	—
689	C₂²×D₄	C₂⁴	1	4	yes	—
690	C₂²×D₄	C₂⁴	1	4	yes	—
691	C₂²×D₄	C₂⁴	1	4	yes	—
692	C₂²×D₄	C₂⁴	1	2	yes	—
693	C₂²×D₄	C₂⁴	1	1	yes	characteristic
694	C₂²×D₄	C₂⁴	1	2	yes	—
695	C₂²×D₄	C₂⁴	1	1	yes	characteristic
696	C₂²×D₄	C₂⁴	1	1	yes	characteristic
697	C₂²×D₄	C₂⁴	1	4	yes	—
698	C₂²×D₄	C₂⁴	1	4	yes	—
699	C₂²×D₄	C₂⁴	1	4	yes	—
700	C₂²×D₄	C₂⁴	1	4	yes	—
701	C₂²×D₄	C₂⁴	1	4	yes	—
702	C₂²×D₄	C₂⁴	1	4	yes	—
703	C₂²×D₄	C₂⁴	1	2	yes	—
704	C₂²×D₄	C₂⁴	1	2	yes	—
705	C₂²×D₄	C₂⁴	1	4	yes	—
706	C₂²×D₄	C₂⁴	1	4	yes	—
707	C₂²×D₄	C₂⁴	1	2	yes	—
708	C₂²×D₄	C₂⁴	1	1	yes	characteristic
709	C₂²×D₄	C₂⁴	1	1	yes	characteristic
710	C₂³×C₄	—	2	4	no	—
711	C₂³×C₄	—	4	2	no	—
712	C₂³×C₄	—	4	2	no	—
713	C₂³×C₄	C₂⁴	1	1	yes	characteristic
714	C₂³×C₄	C₂⁴	1	2	yes	—
715	C₂³×C₄	C₂⁴	1	2	yes	—
716	C₂³×C₄	C₂⁴	1	4	yes	—
717	C₂³×C₄	C₂⁴	1	2	yes	—
718	C₂³×C₄	C₂⁴	1	2	yes	—
719	C₂³×C₄	C₂⁴	1	1	yes	characteristic
720	C₂³×C₄	C₂⁴	1	4	yes	—
721	C₂³×C₄	C₂⁴	1	2	yes	—
722	C₂³×C₄	C₂⁴	1	2	yes	—
723	C₂³×C₄	C₂⁴	1	4	yes	—
724	C₂³×C₄	C₂⁴	1	4	yes	—
725	C₂³×C₄	C₂⁴	1	2	yes	—
726	C₂³×C₄	C₂⁴	1	2	yes	—
727	#127	—	2	4	no	—
728	#127	—	4	2	no	—
729	#127	—	4	4	no	—
730	#127	—	4	4	no	—
731	#127	—	8	4	no	—
732	#126	—	4	8	no	—
733	#124	—	2	4	no	—
734	#124	—	4	4	no	—
735	#124	—	4	2	no	—
736	#124	—	4	4	no	—
737	#124	—	4	8	no	—
738	#124	—	4	8	no	—
739	#124	—	4	4	no	—
740	#124	—	8	4	no	—
741	#124	—	8	4	no	—
742	#124	—	8	4	no	—
743	#124	—	8	4	no	—
744	#123	—	2	8	no	—
745	#123	—	4	4	no	—
746	#123	—	4	4	no	—
747	#123	—	4	8	no	—
748	#123	—	4	8	no	—
749	#123	—	4	8	no	—
750	#123	—	4	4	no	—
751	#123	—	4	4	no	—
752	#123	—	4	4	no	—
753	#123	—	4	4	no	—
754	#123	—	8	4	no	—
755	C₂²⋊Q₈	—	4	4	no	—
756	C₂²⋊Q₈	—	4	8	no	—
757	C₂²⋊Q₈	—	4	8	no	—
758	C₂²⋊Q₈	—	8	4	no	—
759	C₂²⋊Q₈	—	8	4	no	—
760	#121	—	2	16	no	—
761	#121	—	2	8	no	—
762	#121	—	4	4	no	—
763	#121	—	4	8	no	—
764	#121	—	4	8	no	—
765	#121	—	4	8	no	—
766	#121	—	4	8	no	—
767	#121	—	4	8	no	—
768	#121	—	4	8	no	—
769	#121	—	4	8	no	—
770	#121	—	4	8	no	—
771	#121	—	4	4	no	—
772	#121	—	4	4	no	—
773	#121	—	4	8	no	—
774	#121	—	8	4	no	—
775	#121	—	8	4	no	—
776	#121	—	8	4	no	—
777	#120	—	2	16	no	—
778	#120	—	2	8	no	—
779	#120	—	2	8	no	—
780	#120	—	4	4	no	—
781	#120	—	4	8	no	—
782	#120	—	4	8	no	—
783	#120	—	4	8	no	—
784	#120	—	4	4	no	—
785	#120	—	4	8	no	—
786	#120	—	4	8	no	—
787	#120	—	4	8	no	—
788	#120	—	4	8	no	—
789	#120	—	4	8	no	—
790	#120	—	4	4	no	—
791	#120	—	8	4	no	—
792	#120	—	8	4	no	—
793	#120	—	8	4	no	—
794	#120	—	8	4	no	—
795	#120	—	8	4	no	—
796	#120	—	8	4	no	—
797	#120	—	8	4	no	—
798	#120	—	8	4	no	—
799	#120	—	8	4	no	—
800	C₄×Q₈	—	4	4	no	—
801	C₄×D₄	—	4	8	no	—
802	C₄×D₄	—	4	8	no	—
803	C₄×D₄	—	8	4	no	—
804	#117	—	4	2	no	—
805	#117	—	4	2	no	—
806	#117	—	4	2	no	—
807	C₂×C₄⋊C₄	—	4	4	no	—
808	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
810	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
812	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
813	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
814	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
815	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
816	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
817	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
818	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
819	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
820	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
821	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
822	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
823	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
824	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
825	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
826	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
827	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
828	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
829	C₂×C₂²⋊C₄	—	4	4	no	—
830	C₂×C₂²⋊C₄	—	4	4	no	—
831	C₂×C₂²⋊C₄	—	4	4	no	—
832	C₂×C₂²⋊C₄	—	4	4	no	—
833	C₂×C₂²⋊C₄	—	4	4	no	—
834	C₂×C₂²⋊C₄	—	8	4	no	—
835	C₂×C₂²⋊C₄	—	8	4	no	—
836	C₂×C₂²⋊C₄	—	8	4	no	—
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	2	yes	—
841	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
842	C₂×C₂²⋊C₄	C₂⁴	1	2	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	4	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	2	yes	—
856	C₂×C₂²⋊C₄	C₂⁴	1	2	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	4	yes	—
863	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
864	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
865	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
866	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
867	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
868	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
870	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
871	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
872	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
873	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
874	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
875	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
876	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
877	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
878	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
879	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
880	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
881	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
882	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
883	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
884	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
885	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
886	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
887	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
888	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
889	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
890	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
891	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
892	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
893	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
894	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
895	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
896	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
897	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
898	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
899	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
900	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
901	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
902	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
903	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
904	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
905	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
906	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
907	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
908	C₂×C₄²	C₂⁴	1	1	yes	characteristic
909	C₂×C₄²	C₂⁴	1	1	yes	characteristic
910	C₂×C₄²	C₂⁴	1	2	yes	—
911	C₂×C₄²	C₂⁴	1	2	yes	—
912	C₂×C₄²	C₂⁴	1	4	yes	—
913	C₂×C₄²	C₂⁴	1	4	yes	—
914	C₂×C₄²	C₂⁴	1	2	yes	—
915	C₂×C₄²	C₂⁴	1	4	yes	—
916	C₂×C₄²	C₂⁴	1	4	yes	—
917	C₂×C₄²	C₂⁴	1	2	yes	—
918	#95	C₂⁴	1	2	yes	—
919	#95	C₂⁴	1	4	yes	—
920	#95	C₂⁴	1	2	yes	—
921	#95	C₂⁴	1	4	yes	—
922	#95	C₂⁴	1	4	yes	—
923	#95	C₂⁴	1	4	yes	—
924	#95	C₂⁴	1	4	yes	—
925	#95	C₂⁴	1	4	yes	—
926	#95	C₂⁴	1	4	yes	—
927	#95	C₂⁴	1	4	yes	—
928	#95	C₂⁴	1	4	yes	—
929	#95	C₂⁴	1	4	yes	—
930	#95	C₂⁴	1	4	yes	—
931	#95	C₂⁴	1	4	yes	—
932	#95	C₂⁴	1	4	yes	—
933	#95	C₂⁴	1	4	yes	—
934	#95	C₂⁴	1	4	yes	—
935	#95	C₂⁴	1	4	yes	—
936	#95	C₂⁴	1	4	yes	—
937	#95	C₂⁴	1	4	yes	—
938	#95	C₂⁴	1	4	yes	—
939	#95	C₂⁴	1	4	yes	—
940	#95	C₂⁴	1	4	yes	—
941	#95	C₂⁴	1	4	yes	—
942	#95	C₂⁴	1	2	yes	—
943	#95	C₂⁴	1	4	yes	—
944	#95	C₂⁴	1	4	yes	—
945	#95	C₂⁴	1	4	yes	—
946	#95	C₂⁴	1	4	yes	—
947	#95	C₂⁴	1	4	yes	—
948	#95	C₂⁴	1	4	yes	—
949	#95	C₂⁴	1	4	yes	—
950	#95	C₂⁴	1	2	yes	—
951	#95	C₂⁴	1	4	yes	—
952	#95	C₂⁴	1	4	yes	—
953	#95	C₂⁴	1	4	yes	—
954	C₂⁴	—	2	4	no	—
955	C₂⁴	—	2	4	no	—
956	C₂⁴	—	2	4	no	—
957	C₂⁴	—	2	4	no	—
958	C₂⁴	—	2	4	no	—
959	C₂⁴	—	2	4	no	—
960	C₂⁴	—	2	4	no	—
961	C₂⁴	—	2	4	no	—
962	C₂⁴	—	2	4	no	—
963	C₂⁴	—	2	4	no	—
964	C₂⁴	—	2	4	no	—
965	C₂⁴	—	2	4	no	—
966	C₂⁴	—	2	4	no	—
967	C₂⁴	—	4	1	no	—
968	C₂⁴	—	4	1	no	—
969	C₂⁴	—	4	4	no	—
970	C₂⁴	—	4	4	no	—
971	C₂⁴	—	4	4	no	—
972	C₂⁴	—	4	2	no	—
973	C₂⁴	—	4	2	no	—
974	C₂⁴	—	4	2	no	—
975	C₂⁴	—	4	2	no	—
976	C₂⁴	—	4	2	no	—
977	C₂⁴	—	4	2	no	—
978	C₂⁴	—	4	4	no	—
979	C₂⁴	—	4	4	no	—
980	C₂⁴	—	4	4	no	—
981	C₂⁴	—	4	4	no	—
982	C₂⁴	—	4	4	no	—
983	C₂⁴	—	4	4	no	—
984	C₂⁴	—	4	4	no	—
985	C₂⁴	—	4	4	no	—
986	C₂⁴	—	4	4	no	—
987	C₂⁴	—	4	4	no	—
988	C₂⁴	—	4	2	no	—
989	C₂⁴	—	4	4	no	—
990	C₂⁴	—	4	4	no	—
991	C₂⁴	—	4	2	no	—
992	C₂⁴	—	4	32	no	—
993	C₂⁴	—	8	16	no	—
994	C₂⁴	—	8	16	no	—
995	C₂⁴	—	8	32	no	—
996	C₂⁴	—	8	32	no	—
997	C₂⁴	H(5,𝔽₂)	1	4	yes	—
998	C₂⁴	C₂⁵	1	2	yes	—
999	C₂⁴	C₂⁵	1	2	yes	—
1000	C₂⁴	C₂⁵	1	4	yes	—
1001	C₂⁴	C₂⁵	1	2	yes	—
1002	C₂⁴	C₂⁵	1	2	yes	—
1003	C₂⁴	C₂⁵	1	1	yes	characteristic
1004	C₂⁴	C₂⁵	1	2	yes	—
1005	C₂⁴	C₂⁵	1	2	yes	—
1006	#41	—	8	8	no	—
1007	#41	—	8	32	no	—
1008	C₂×Q₈	—	2	2	no	—
1009	C₂×Q₈	—	4	2	no	—
1010	C₂×Q₈	—	4	1	no	—
1011	C₂×Q₈	—	4	4	no	—
1012	C₂×Q₈	—	4	4	no	—
1013	C₂×Q₈	—	4	1	no	—
1014	C₂×Q₈	—	4	4	no	—
1015	C₂×Q₈	—	4	4	no	—
1016	C₂×Q₈	—	4	4	no	—
1017	C₂×Q₈	—	4	2	no	—
1018	C₂×D₄	—	2	4	no	—
1019	C₂×D₄	—	2	4	no	—
1020	C₂×D₄	—	2	4	no	—
1021	C₂×D₄	—	2	4	no	—
1022	C₂×D₄	—	2	4	no	—
1023	C₂×D₄	—	2	4	no	—
1024	C₂×D₄	—	2	8	no	—
1025	C₂×D₄	—	2	8	no	—
1026	C₂×D₄	—	2	8	no	—
1027	C₂×D₄	—	2	8	no	—
1028	C₂×D₄	—	2	8	no	—
1029	C₂×D₄	—	2	8	no	—
1030	C₂×D₄	—	2	4	no	—
1031	C₂×D₄	—	2	8	no	—
1032	C₂×D₄	—	2	8	no	—
1033	C₂×D₄	—	2	8	no	—
1034	C₂×D₄	—	2	4	no	—
1035	C₂×D₄	—	2	4	no	—
1036	C₂×D₄	—	2	2	no	—
1037	C₂×D₄	—	2	2	no	—
1038	C₂×D₄	—	2	2	no	—
1039	C₂×D₄	—	4	1	no	—
1040	C₂×D₄	—	4	2	no	—
1041	C₂×D₄	—	4	1	no	—
1042	C₂×D₄	—	4	1	no	—
1043	C₂×D₄	—	4	1	no	—
1044	C₂×D₄	—	4	1	no	—
1045	C₂×D₄	—	4	2	no	—
1046	C₂×D₄	—	4	1	no	—
1047	C₂×D₄	—	4	1	no	—
1048	C₂×D₄	—	4	1	no	—
1049	C₂×D₄	—	4	2	no	—
1050	C₂×D₄	—	4	2	no	—
1051	C₂×D₄	—	4	2	no	—
1052	C₂×D₄	—	4	2	no	—
1053	C₂×D₄	—	4	2	no	—
1054	C₂×D₄	—	4	2	no	—
1055	C₂×D₄	—	4	2	no	—
1056	C₂×D₄	—	4	2	no	—
1057	C₂×D₄	—	4	16	no	—
1058	C₂×D₄	—	4	16	no	—
1059	C₂×D₄	—	4	4	no	—
1060	C₂×D₄	—	4	4	no	—
1061	C₂×D₄	—	4	4	no	—
1062	C₂×D₄	—	4	4	no	—
1063	C₂×D₄	—	4	2	no	—
1064	C₂×D₄	—	4	2	no	—
1065	C₂×D₄	—	4	4	no	—
1066	C₂×D₄	—	4	4	no	—
1067	C₂×D₄	—	4	4	no	—
1068	C₂×D₄	—	4	4	no	—
1069	C₂×D₄	—	4	4	no	—
1070	C₂×D₄	—	4	4	no	—
1071	C₂×D₄	—	4	4	no	—
1072	C₂×D₄	—	4	4	no	—
1073	C₂×D₄	—	4	4	no	—
1074	C₂×D₄	—	4	4	no	—
1075	C₂×D₄	—	4	4	no	—
1076	C₂×D₄	—	4	4	no	—
1077	C₂×D₄	—	4	4	no	—
1078	C₂×D₄	—	4	4	no	—
1079	C₂×D₄	—	4	4	no	—
1080	C₂×D₄	—	4	4	no	—
1081	C₂×D₄	—	4	4	no	—
1082	C₂×D₄	—	4	1	no	—
1083	C₂×D₄	—	4	4	no	—
1084	C₂×D₄	—	4	4	no	—
1085	C₂×D₄	—	4	4	no	—
1086	C₂×D₄	—	4	4	no	—
1087	C₂×D₄	—	4	1	no	—
1088	C₂×D₄	—	4	4	no	—
1089	C₂×D₄	—	4	4	no	—
1090	C₂×D₄	—	4	4	no	—
1091	C₂×D₄	—	4	4	no	—
1092	C₂×D₄	—	4	2	no	—
1093	C₂×D₄	—	4	2	no	—
1094	C₂×D₄	—	4	4	no	—
1095	C₂×D₄	—	4	4	no	—
1096	C₂×D₄	—	4	4	no	—
1097	C₂×D₄	—	4	4	no	—
1098	C₂×D₄	—	4	4	no	—
1099	C₂×D₄	—	4	4	no	—
1100	C₂×D₄	—	4	4	no	—
1101	C₂×D₄	—	4	4	no	—
1102	C₂×D₄	—	4	4	no	—
1103	C₂×D₄	—	4	4	no	—
1104	C₂×D₄	—	4	4	no	—
1105	C₂×D₄	—	4	2	no	—
1106	C₂×D₄	—	4	4	no	—
1107	C₂×D₄	—	4	2	no	—
1108	C₂×D₄	—	4	4	no	—
1109	C₂×D₄	—	4	4	no	—
1110	C₂×D₄	—	4	32	no	—
1111	C₂×D₄	—	4	32	no	—
1112	C₂×D₄	—	4	32	no	—
1113	C₂×D₄	—	4	32	no	—
1114	C₂×D₄	—	4	32	no	—
1115	C₂×D₄	—	8	16	no	—
1116	C₂×D₄	—	8	16	no	—
1117	C₂×D₄	—	8	16	no	—
1118	C₂×D₄	H(5,𝔽₂)	1	4	yes	—
1119	C₂×D₄	H(5,𝔽₂)	1	4	yes	—
1120	C₂²×C₄	—	2	2	no	—
1121	C₂²×C₄	—	2	2	no	—
1122	C₂²×C₄	—	2	2	no	—
1123	C₂²×C₄	—	2	4	no	—
1124	C₂²×C₄	—	2	4	no	—
1125	C₂²×C₄	—	2	2	no	—
1126	C₂²×C₄	—	2	8	no	—
1127	C₂²×C₄	—	2	4	no	—
1128	C₂²×C₄	—	2	4	no	—
1129	C₂²×C₄	—	2	4	no	—
1130	C₂²×C₄	—	2	4	no	—
1131	C₂²×C₄	—	4	2	no	—
1132	C₂²×C₄	—	4	2	no	—
1133	C₂²×C₄	—	4	2	no	—
1134	C₂²×C₄	—	4	1	no	—
1135	C₂²×C₄	—	4	1	no	—
1136	C₂²×C₄	—	4	4	no	—
1137	C₂²×C₄	—	4	2	no	—
1138	C₂²×C₄	—	4	2	no	—
1139	C₂²×C₄	—	4	2	no	—
1140	C₂²×C₄	—	4	4	no	—
1141	C₂²×C₄	—	4	4	no	—
1142	C₂²×C₄	—	4	4	no	—
1143	C₂²×C₄	—	4	2	no	—
1144	C₂²×C₄	—	4	4	no	—
1145	C₂²×C₄	—	4	2	no	—
1146	C₂²×C₄	—	4	4	no	—
1147	C₂²×C₄	—	4	4	no	—
1148	C₂²×C₄	—	4	4	no	—
1149	C₂²×C₄	—	4	2	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	2	no	—
1155	C₂²×C₄	—	4	2	no	—
1156	C₂²×C₄	—	4	4	no	—
1157	C₂²×C₄	—	4	4	no	—
1158	C₂²×C₄	—	4	2	no	—
1159	C₂²×C₄	—	4	16	no	—
1160	C₂²×C₄	C₂⁵	1	4	yes	—
1161	C₂²×C₄	C₂⁵	1	2	yes	—
1162	C₂²×C₄	C₂⁵	1	2	yes	—
1163	C₂²×C₄	C₂⁵	1	4	yes	—
1164	C₂²×C₄	C₂⁵	1	4	yes	—
1165	C₂²×C₄	C₂⁵	1	4	yes	—
1166	C₂²×C₄	C₂⁵	1	4	yes	—
1167	C₂²×C₄	C₂⁵	1	2	yes	—
1168	C₂²×C₄	C₂⁵	1	4	yes	—
1169	C₂²×C₄	C₂⁵	1	4	yes	—
1170	C₂²×C₄	C₂⁵	1	4	yes	—
1171	C₂²×C₄	C₂⁵	1	2	yes	—
1172	C₂²×C₄	C₂⁵	1	4	yes	—
1173	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1174	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1175	C₄⋊C₄	—	2	8	no	—
1176	C₄⋊C₄	—	2	4	no	—
1177	C₄⋊C₄	—	2	8	no	—
1178	C₄⋊C₄	—	4	4	no	—
1179	C₄⋊C₄	—	4	2	no	—
1180	C₄⋊C₄	—	4	2	no	—
1181	C₄⋊C₄	—	4	2	no	—
1182	C₄⋊C₄	—	4	4	no	—
1183	C₄⋊C₄	—	4	4	no	—
1184	C₄⋊C₄	—	4	4	no	—
1185	C₄⋊C₄	—	4	2	no	—
1186	C₄⋊C₄	—	4	4	no	—
1187	C₄⋊C₄	—	4	4	no	—
1188	C₄⋊C₄	—	4	4	no	—
1189	C₄⋊C₄	—	4	4	no	—
1190	C₄⋊C₄	—	4	4	no	—
1191	C₄⋊C₄	—	4	4	no	—
1192	C₄⋊C₄	—	4	4	no	—
1193	C₄⋊C₄	—	4	4	no	—
1194	C₄⋊C₄	—	4	4	no	—
1195	C₄⋊C₄	—	4	4	no	—
1196	C₂²⋊C₄	—	2	8	no	—
1197	C₂²⋊C₄	—	2	8	no	—
1198	C₂²⋊C₄	—	2	8	no	—
1199	C₂²⋊C₄	—	2	4	no	—
1200	C₂²⋊C₄	—	2	4	no	—
1201	C₂²⋊C₄	—	2	4	no	—
1202	C₂²⋊C₄	—	2	8	no	—
1203	C₂²⋊C₄	—	2	8	no	—
1204	C₂²⋊C₄	—	2	8	no	—
1205	C₂²⋊C₄	—	2	8	no	—
1206	C₂²⋊C₄	—	2	8	no	—
1207	C₂²⋊C₄	—	2	8	no	—
1208	C₂²⋊C₄	—	2	8	no	—
1209	C₂²⋊C₄	—	4	4	no	—
1210	C₂²⋊C₄	—	4	4	no	—
1211	C₂²⋊C₄	—	4	4	no	—
1212	C₂²⋊C₄	—	4	4	no	—
1213	C₂²⋊C₄	—	4	2	no	—
1214	C₂²⋊C₄	—	4	4	no	—
1215	C₂²⋊C₄	—	4	2	no	—
1216	C₂²⋊C₄	—	4	4	no	—
1217	C₂²⋊C₄	—	4	4	no	—
1218	C₂²⋊C₄	—	4	4	no	—
1219	C₂²⋊C₄	—	4	4	no	—
1220	C₂²⋊C₄	—	4	4	no	—
1221	C₂²⋊C₄	—	4	4	no	—
1222	C₂²⋊C₄	—	4	4	no	—
1223	C₂²⋊C₄	—	4	4	no	—
1224	C₂²⋊C₄	—	4	4	no	—
1225	C₂²⋊C₄	—	4	4	no	—
1226	C₂²⋊C₄	—	4	4	no	—
1227	C₂²⋊C₄	—	4	4	no	—
1228	C₂²⋊C₄	—	4	2	no	—
1229	C₂²⋊C₄	—	4	2	no	—
1230	C₂²⋊C₄	—	4	4	no	—
1231	C₂²⋊C₄	—	4	4	no	—
1232	C₂²⋊C₄	—	4	4	no	—
1233	C₂²⋊C₄	—	4	4	no	—
1234	C₂²⋊C₄	—	4	4	no	—
1235	C₂²⋊C₄	—	4	4	no	—
1236	C₂²⋊C₄	—	4	4	no	—
1237	C₂²⋊C₄	—	4	4	no	—
1238	C₂²⋊C₄	—	4	4	no	—
1239	C₂²⋊C₄	—	4	4	no	—
1240	C₂²⋊C₄	—	4	4	no	—
1241	C₂²⋊C₄	—	4	4	no	—
1242	C₂²⋊C₄	—	4	4	no	—
1243	C₂²⋊C₄	—	4	4	no	—
1244	C₂²⋊C₄	—	4	4	no	—
1245	C₂²⋊C₄	—	4	4	no	—
1246	C₂²⋊C₄	—	4	4	no	—
1247	C₂²⋊C₄	—	4	4	no	—
1248	C₂²⋊C₄	—	4	4	no	—
1249	C₂²⋊C₄	—	4	4	no	—
1250	C₂²⋊C₄	—	4	4	no	—
1251	C₂²⋊C₄	—	4	4	no	—
1252	C₂²⋊C₄	—	4	4	no	—
1253	C₂²⋊C₄	—	4	4	no	—
1254	C₂²⋊C₄	—	4	4	no	—
1255	C₂²⋊C₄	—	4	4	no	—
1256	C₂²⋊C₄	—	4	4	no	—
1257	C₂²⋊C₄	—	4	4	no	—
1258	C₂²⋊C₄	—	4	4	no	—
1259	C₂²⋊C₄	—	4	4	no	—
1260	C₂²⋊C₄	—	4	2	no	—
1261	C₂²⋊C₄	—	4	4	no	—
1262	C₂²⋊C₄	—	4	4	no	—
1263	C₂²⋊C₄	—	4	4	no	—
1264	C₂²⋊C₄	—	4	2	no	—
1265	C₂²⋊C₄	—	4	4	no	—
1266	C₂²⋊C₄	—	4	4	no	—
1267	C₄²	—	2	2	no	—
1268	C₄²	—	2	2	no	—
1269	C₄²	—	4	2	no	—
1270	C₄²	—	4	2	no	—
1271	C₄²	—	4	4	no	—
1272	C₄²	—	4	4	no	—
1273	C₄²	—	4	2	no	—
1274	C₄²	—	4	4	no	—
1275	C₄²	—	4	4	no	—
1276	C₄²	—	4	2	no	—
1277	C₂³	—	2	16	no	—
1278	C₂³	—	2	1	no	—
1279	C₂³	—	2	1	no	—
1280	C₂³	—	2	2	no	—
1281	C₂³	—	2	2	no	—
1282	C₂³	—	2	2	no	—
1283	C₂³	—	2	2	no	—
1284	C₂³	—	2	2	no	—
1285	C₂³	—	2	2	no	—
1286	C₂³	—	2	4	no	—
1287	C₂³	—	2	4	no	—
1288	C₂³	—	2	4	no	—
1289	C₂³	—	2	4	no	—
1290	C₂³	—	2	4	no	—
1291	C₂³	—	2	4	no	—
1292	C₂³	—	2	4	no	—
1293	C₂³	—	2	4	no	—
1294	C₂³	—	2	4	no	—
1295	C₂³	—	2	2	no	—
1296	C₂³	—	2	2	no	—
1297	C₂³	—	2	2	no	—
1298	C₂³	—	2	2	no	—
1299	C₂³	—	2	2	no	—
1300	C₂³	—	2	2	no	—
1301	C₂³	—	2	2	no	—
1302	C₂³	—	2	2	no	—
1303	C₂³	—	2	4	no	—
1304	C₂³	—	2	2	no	—
1305	C₂³	—	2	4	no	—
1306	C₂³	—	2	4	no	—
1307	C₂³	—	2	4	no	—
1308	C₂³	—	2	4	no	—
1309	C₂³	—	2	4	no	—
1310	C₂³	—	2	4	no	—
1311	C₂³	—	2	4	no	—
1312	C₂³	—	2	4	no	—
1313	C₂³	—	2	4	no	—
1314	C₂³	—	2	4	no	—
1315	C₂³	—	4	4	no	—
1316	C₂³	—	4	8	no	—
1317	C₂³	—	4	8	no	—
1318	C₂³	—	4	8	no	—
1319	C₂³	—	4	8	no	—
1320	C₂³	—	4	8	no	—
1321	C₂³	—	4	8	no	—
1322	C₂³	—	4	8	no	—
1323	C₂³	—	4	8	no	—
1324	C₂³	—	4	8	no	—
1325	C₂³	—	4	8	no	—
1326	C₂³	—	4	8	no	—
1327	C₂³	—	4	8	no	—
1328	C₂³	—	8	8	no	—
1329	C₂³	—	8	8	no	—
1330	C₂³	—	8	8	no	—
1331	C₂³	—	8	8	no	—
1332	C₂³	—	8	8	no	—
1333	C₂³	—	8	8	no	—
1334	C₂³	—	8	4	no	—
1335	C₂³	—	8	4	no	—
1336	C₂³	—	8	4	no	—
1337	C₂³	—	8	4	no	—
1338	C₂³	—	8	4	no	—
1339	C₂³	—	8	4	no	—
1340	C₂³	—	8	4	no	—
1341	C₂³	—	8	4	no	—
1342	C₂³	—	8	4	no	—
1343	C₂³	—	8	8	no	—
1344	C₂³	—	8	8	no	—
1345	C₂³	—	8	8	no	—
1346	C₂³	—	8	8	no	—
1347	C₂³	—	8	8	no	—
1348	C₂³	—	8	8	no	—
1349	C₂³	—	8	8	no	—
1350	C₂³	—	8	4	no	—
1351	C₂³	—	8	4	no	—
1352	C₂³	—	8	128	no	—
1353	C₂³	—	16	4	no	—
1354	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1355	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1356	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1357	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1358	C₂³	C₂⁶	1	1	yes	characteristic
1359	Q₈	—	8	2	no	—
1360	Q₈	—	8	4	no	—
1361	Q₈	—	8	8	no	—
1362	Q₈	—	16	2	no	—
1363	D₄	—	4	4	no	—
1364	D₄	—	4	4	no	—
1365	D₄	—	4	8	no	—
1366	D₄	—	4	8	no	—
1367	D₄	—	4	4	no	—
1368	D₄	—	4	4	no	—
1369	D₄	—	4	8	no	—
1370	D₄	—	4	8	no	—
1371	D₄	—	4	8	no	—
1372	D₄	—	4	8	no	—
1373	D₄	—	8	2	no	—
1374	D₄	—	8	8	no	—
1375	D₄	—	8	8	no	—
1376	D₄	—	8	8	no	—
1377	D₄	—	8	8	no	—
1378	D₄	—	8	8	no	—
1379	D₄	—	8	8	no	—
1380	D₄	—	8	8	no	—
1381	D₄	—	8	8	no	—
1382	D₄	—	8	8	no	—
1383	D₄	—	8	4	no	—
1384	D₄	—	8	8	no	—
1385	D₄	—	8	8	no	—
1386	D₄	—	8	8	no	—
1387	D₄	—	16	4	no	—
1388	D₄	—	16	4	no	—
1389	D₄	—	16	2	no	—
1390	D₄	—	16	4	no	—
1391	D₄	—	16	4	no	—
1392	D₄	—	16	2	no	—
1393	D₄	—	16	4	no	—
1394	C₂×C₄	—	2	8	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	2	no	—
1400	C₂×C₄	—	2	2	no	—
1401	C₂×C₄	—	2	4	no	—
1402	C₂×C₄	—	2	4	no	—
1403	C₂×C₄	—	2	2	no	—
1404	C₂×C₄	—	2	4	no	—
1405	C₂×C₄	—	2	4	no	—
1406	C₂×C₄	—	2	2	no	—
1407	C₂×C₄	—	2	4	no	—
1408	C₂×C₄	—	2	4	no	—
1409	C₂×C₄	—	2	4	no	—
1410	C₂×C₄	—	2	4	no	—
1411	C₂×C₄	—	2	4	no	—
1412	C₂×C₄	—	2	2	no	—
1413	C₂×C₄	—	2	4	no	—
1414	C₂×C₄	—	2	4	no	—
1415	C₂×C₄	—	2	2	no	—
1416	C₂×C₄	—	2	2	no	—
1417	C₂×C₄	—	2	2	no	—
1418	C₂×C₄	—	2	4	no	—
1419	C₂×C₄	—	2	4	no	—
1420	C₂×C₄	—	2	4	no	—
1421	C₂×C₄	—	2	4	no	—
1422	C₂×C₄	—	2	4	no	—
1423	C₂×C₄	—	2	4	no	—
1424	C₂×C₄	—	2	4	no	—
1425	C₂×C₄	—	2	4	no	—
1426	C₂×C₄	—	2	4	no	—
1427	C₂×C₄	—	2	4	no	—
1428	C₂×C₄	—	2	4	no	—
1429	C₂×C₄	—	2	4	no	—
1430	C₂×C₄	—	2	4	no	—
1431	C₂×C₄	—	2	4	no	—
1432	C₂×C₄	—	2	4	no	—
1433	C₂×C₄	—	2	4	no	—
1434	C₂×C₄	—	2	4	no	—
1435	C₂×C₄	—	2	4	no	—
1436	C₂×C₄	—	4	8	no	—
1437	C₂×C₄	—	4	8	no	—
1438	C₂×C₄	—	4	4	no	—
1439	C₂×C₄	—	4	8	no	—
1440	C₂×C₄	—	8	4	no	—
1441	C₂×C₄	—	8	4	no	—
1442	C₂×C₄	—	8	8	no	—
1443	C₂×C₄	—	8	4	no	—
1444	C₂×C₄	—	8	4	no	—
1445	C₂×C₄	—	8	8	no	—
1446	C₂×C₄	—	16	4	no	—
1447	C₂×C₄	—	16	2	no	—
1448	C₂×C₄	—	16	4	no	—
1449	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1450	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1451	C₂²	—	2	8	no	—
1452	C₂²	—	2	8	no	—
1453	C₂²	—	2	2	no	—
1454	C₂²	—	2	4	no	—
1455	C₂²	—	2	4	no	—
1456	C₂²	—	2	4	no	—
1457	C₂²	—	2	4	no	—
1458	C₂²	—	2	4	no	—
1459	C₂²	—	2	4	no	—
1460	C₂²	—	4	16	no	—
1461	C₂²	—	4	4	no	—
1462	C₂²	—	4	2	no	—
1463	C₂²	—	4	4	no	—
1464	C₂²	—	4	2	no	—
1465	C₂²	—	4	4	no	—
1466	C₂²	—	4	4	no	—
1467	C₂²	—	4	2	no	—
1468	C₂²	—	4	2	no	—
1469	C₂²	—	4	2	no	—
1470	C₂²	—	4	2	no	—
1471	C₂²	—	4	4	no	—
1472	C₂²	—	4	4	no	—
1473	C₂²	—	4	4	no	—
1474	C₂²	—	4	4	no	—
1475	C₂²	—	4	4	no	—
1476	C₂²	—	4	2	no	—
1477	C₂²	—	4	4	no	—
1478	C₂²	—	4	2	no	—
1479	C₂²	—	4	4	no	—
1480	C₂²	—	4	4	no	—
1481	C₂²	—	4	4	no	—
1482	C₂²	—	4	2	no	—
1483	C₂²	—	4	2	no	—
1484	C₂²	—	4	2	no	—
1485	C₂²	—	4	4	no	—
1486	C₂²	—	4	4	no	—
1487	C₂²	—	4	4	no	—
1488	C₂²	—	4	2	no	—
1489	C₂²	—	4	2	no	—
1490	C₂²	—	4	4	no	—
1491	C₂²	—	4	2	no	—
1492	C₂²	—	4	2	no	—
1493	C₂²	—	8	16	no	—
1494	C₂²	—	8	16	no	—
1495	C₂²	—	8	16	no	—
1496	C₂²	—	8	16	no	—
1497	C₂²	—	8	16	no	—
1498	C₂²	—	8	16	no	—
1499	C₂²	—	16	8	no	—
1500	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1501	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1502	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1503	C₂²	H(7,𝔽₂)	1	4	yes	—
1504	C₄	—	2	2	no	—
1505	C₄	—	2	2	no	—
1506	C₄	—	4	4	no	—
1507	C₄	—	4	4	no	—
1508	C₄	—	4	2	no	—
1509	C₄	—	4	2	no	—
1510	C₄	—	4	4	no	—
1511	C₄	—	4	4	no	—
1512	C₄	—	4	4	no	—
1513	C₄	—	4	2	no	—
1514	C₄	—	4	4	no	—
1515	C₄	—	4	2	no	—
1516	C₄	—	4	4	no	—
1517	C₄	—	4	4	no	—
1518	C₄	—	4	4	no	—
1519	C₂	—	4	2	no	—
1520	C₂	—	4	4	no	—
1521	C₂	—	4	4	no	—
1522	C₂	—	4	4	no	—
1523	C₂	—	8	2	no	—
1524	C₂	—	8	2	no	—
1525	C₂	—	8	2	no	—
1526	C₂	—	8	4	no	—
1527	C₂	#62817	1	1	yes	characteristic
1528	C₂	#62862	1	2	yes	—
1529	C₂	#63041	1	2	yes	—
1530	C₂	#63045	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. #57974	C₂	semidirect
2. #56353	C₂	semidirect
3. #55417	C₂	semidirect
4. #55320	C₂	semidirect
5. #54815	C₂	semidirect
6. #53455	C₂	semidirect
7. #52054	C₂	semidirect
8. #51993	C₂	semidirect
9. #51902	C₂	semidirect
10. #50635	C₂	semidirect
11. #48997	C₂	semidirect
12. #48088	C₂	semidirect
13. #47848	C₂	semidirect
14. #47658	C₂	semidirect
15. #46601	C₂	semidirect
16. #46428	C₂	semidirect
17. #46354	C₂	semidirect
18. #45460	C₂	semidirect
19. #45458	C₂	semidirect
20. #45441	C₂	semidirect
21. #45438	C₂	semidirect
22. #35222	C₂	semidirect
23. #34980	C₂	semidirect
25. C₂×H(3,𝔽₄)	C₂²	semidirect
27. C₂×#559	C₂²	semidirect
28. C₂×#537	C₂²	semidirect
30. C₂×#535	C₂²	semidirect
32. C₂×#534	C₂²	semidirect
33. C₂×#525	C₂²	semidirect
34. C₂²×#120	C₂²	semidirect
35. #2849	C₂²	semidirect
37. #2846	C₂²	semidirect
38. #2840	C₂²	semidirect
39. #2837	C₂²	semidirect
40. #2830	C₂²	semidirect
41. #2828	C₂²	semidirect
42. #2825	C₂²	semidirect
43. #2825	C₂²	semidirect
44. #2819	C₂²	semidirect
45. #2816	C₂²	semidirect
46. #2815	C₂²	semidirect
48. #2812	C₂²	semidirect
49. #2804	C₂²	semidirect
50. #2803	C₂²	semidirect
51. #2796	C₂²	semidirect
52. #2781	C₂²	semidirect
53. #2764	C₂²	semidirect
54. #2760	C₂²	semidirect
55. #2756	C₂²	semidirect
56. #2752	C₂²	semidirect
57. #2751	C₂²	semidirect
58. #2749	C₂²	semidirect
59. #2749	C₂²	semidirect
60. #2745	C₂²	semidirect
61. #2737	C₂²	semidirect
62. #2736	C₂²	semidirect
63. #2736	C₂²	semidirect
64. #2736	C₂²	semidirect
65. #2733	C₂²	semidirect
66. #2730	C₂²	semidirect
67. #2724	C₂²	semidirect
68. #2717	C₂²	semidirect
69. #2712	C₂²	semidirect
70. #2710	C₂²	semidirect
71. #2710	C₂²	semidirect
72. #2709	C₂²	semidirect
73. #2709	C₂²	semidirect
74. #2706	C₂²	semidirect
75. #2700	C₂²	semidirect
76. #2699	C₂²	semidirect
77. #2699	C₂²	semidirect
78. #2698	C₂²	semidirect
79. #2697	C₂²	semidirect
80. #2697	C₂²	semidirect
81. #2696	C₂²	semidirect
82. #2696	C₂²	semidirect
83. #2696	C₂²	semidirect
84. #2688	C₂²	semidirect
85. #2688	C₂²	semidirect
86. #2688	C₂²	semidirect
87. #2688	C₂²	semidirect
88. #2687	C₂²	semidirect
89. #2687	C₂²	semidirect
90. #2686	C₂²	semidirect
91. #2685	C₂²	semidirect
92. #2685	C₂²	semidirect
93. #2684	C₂²	semidirect
94. #2684	C₂²	semidirect
95. #2684	C₂²	semidirect
96. #2684	C₂²	semidirect
97. #2684	C₂²	semidirect
98. #2684	C₂²	semidirect
99. #2683	C₂²	semidirect
100. #2682	C₂²	semidirect
101. #2678	C₂²	semidirect
102. #2678	C₂²	semidirect
103. #2678	C₂²	semidirect
104. #2678	C₂²	semidirect
105. #2676	C₂²	semidirect
106. #2676	C₂²	semidirect
107. #2676	C₂²	semidirect
108. #2673	C₂²	semidirect
109. #2673	C₂²	semidirect
110. #2672	C₂²	semidirect
111. #2670	C₂²	semidirect
112. #2670	C₂²	semidirect
113. #2670	C₂²	semidirect
114. #2670	C₂²	semidirect
115. #2669	C₂²	semidirect
116. #2669	C₂²	semidirect
117. #2669	C₂²	semidirect
118. #2669	C₂²	semidirect
119. #2669	C₂²	semidirect
120. #2668	C₂²	semidirect
121. #2668	C₂²	semidirect
122. #2668	C₂²	semidirect
123. #2657	C₂²	semidirect
124. #2653	C₂²	semidirect
125. #2648	C₂²	semidirect
126. #2632	C₂²	semidirect
127. #2631	C₂²	semidirect
128. #2630	C₂²	semidirect
129. #2617	C₂²	semidirect
131. #2613	C₂²	semidirect
132. #2613	C₂²	semidirect
133. #2610	C₂²	semidirect
134. #2602	C₂²	semidirect
135. #2599	C₂²	semidirect
136. #2591	C₂²	semidirect
137. #2576	C₂²	semidirect
138. #2572	C₂²	semidirect
139. #2561	C₂²	semidirect
140. #2561	C₂²	semidirect
141. #2561	C₂²	semidirect
142. #2557	C₂²	semidirect
143. #2555	C₂²	semidirect
144. #2555	C₂²	semidirect
145. #2555	C₂²	semidirect
146. #2527	C₂²	semidirect
147. #2526	C₂²	semidirect
148. #2518	C₂²	semidirect
149. #2480	C₂²	semidirect
150. #2480	C₂²	semidirect
151. #2477	C₂²	semidirect
152. #2472	C₂²	semidirect
153. #2472	C₂²	semidirect
154. #2472	C₂²	semidirect
155. #2472	C₂²	semidirect
156. #2472	C₂²	semidirect
157. #2472	C₂²	semidirect
158. #2472	C₂²	semidirect
159. #2470	C₂²	semidirect
160. #2466	C₂²	semidirect
161. #2464	C₂²	semidirect
162. #2464	C₂²	semidirect
163. #2458	C₂²	semidirect
164. #2443	C₂²	semidirect
165. #2443	C₂²	semidirect
167. #2435	C₂²	semidirect
169. #2433	C₂²	semidirect
170. #2433	C₂²	semidirect
171. #2431	C₂²	semidirect
172. #2431	C₂²	semidirect
173. #2431	C₂²	semidirect
174. #2427	C₂²	semidirect
175. #2426	C₂²	semidirect
176. #2424	C₂²	semidirect
177. #2424	C₂²	semidirect
178. #2420	C₂²	semidirect
179. #2418	C₂²	semidirect
180. #2418	C₂²	semidirect
183. #2410	C₂²	semidirect
184. #2410	C₂²	semidirect
185. #2410	C₂²	semidirect
186. #2410	C₂²	semidirect
187. #2408	C₂²	semidirect
188. #2408	C₂²	semidirect
189. #2408	C₂²	semidirect
190. #2408	C₂²	semidirect
191. #2406	C₂²	semidirect
194. #2405	C₂²	semidirect
195. #2405	C₂²	semidirect
196. #2405	C₂²	semidirect
197. #2404	C₂²	semidirect
198. #2404	C₂²	semidirect
199. #2404	C₂²	semidirect
200. #2404	C₂²	semidirect
203. #2403	C₂²	semidirect
204. #2403	C₂²	semidirect
205. #2380	C₂²	semidirect
206. #2376	C₂²	semidirect
207. #2375	C₂²	semidirect
208. #2375	C₂²	semidirect
209. #2372	C₂²	semidirect
210. #2358	C₂²	semidirect
211. #2333	C₂²	semidirect
212. #2333	C₂²	semidirect
214. #2309	C₂²	semidirect
216. #2308	C₂²	semidirect
217. #2280	C₂²	semidirect
218. C₂×#379	C₂²	semidirect
221. C₂²×#41	C₂³	semidirect
248. C₂×#127	C₂³	semidirect
253. C₂×#124	C₂³	semidirect
254. C₂×#124	C₂³	semidirect
255. C₂×#124	C₂³	semidirect
256. C₂×#124	C₂³	semidirect
257. C₂×#124	C₂³	semidirect
258. C₂×#124	C₂³	semidirect
259. C₂×#124	C₂³	semidirect
260. C₂×#124	C₂³	semidirect
271. C₂×#123	C₂³	semidirect
272. C₂×#123	C₂³	semidirect
274. C₂×C₂²⋊Q₈	C₂³	semidirect
275. C₂×C₂²⋊Q₈	C₂³	semidirect
276. C₂×C₂²⋊Q₈	C₂³	semidirect
277. C₂×C₂²⋊Q₈	C₂³	semidirect
289. C₂×#121	C₂³	semidirect
290. C₂×#121	C₂³	semidirect
291. C₂×#121	C₂³	semidirect
292. C₂×#121	C₂³	semidirect
293. C₂×#121	C₂³	semidirect
294. C₂×#121	C₂³	semidirect
317. C₂×#120	C₂³	semidirect
318. C₂×#120	C₂³	semidirect
319. C₂×C₄×Q₈	C₂³	semidirect
321. C₂×C₄×D₄	C₂³	semidirect
322. C₂×C₄×D₄	C₂³	semidirect
326. C₂²×C₄⋊C₄	C₂³	semidirect
334. C₂²×C₂²⋊C₄	C₂³	semidirect
335. #401	C₂³	semidirect
336. #400	C₂³	semidirect
337. #400	C₂³	semidirect
338. #400	C₂³	semidirect
339. #400	C₂³	semidirect
340. #399	C₂³	semidirect
341. #399	C₂³	semidirect
342. #399	C₂³	semidirect
343. #398	C₂³	semidirect
344. #398	C₂³	semidirect
345. #398	C₂³	semidirect
346. #398	C₂³	semidirect
352. #397	C₂³	semidirect
353. #397	C₂³	semidirect
354. #397	C₂³	semidirect
355. #397	C₂³	semidirect
356. #397	C₂³	semidirect
357. #397	C₂³	semidirect
358. #397	C₂³	semidirect
359. #397	C₂³	semidirect
360. #397	C₂³	semidirect
361. #397	C₂³	semidirect
362. #397	C₂³	semidirect
363. #397	C₂³	semidirect
364. #397	C₂³	semidirect
365. #397	C₂³	semidirect
366. #397	C₂³	semidirect
367. #397	C₂³	semidirect
368. #396	C₂³	semidirect
369. #396	C₂³	semidirect
370. #396	C₂³	semidirect
371. #396	C₂³	semidirect
372. #396	C₂³	semidirect
373. #396	C₂³	semidirect
374. #395	C₂³	semidirect
375. #395	C₂³	semidirect
376. #395	C₂³	semidirect
398. #394	C₂³	semidirect
399. #394	C₂³	semidirect
400. #394	C₂³	semidirect
401. #394	C₂³	semidirect
402. #394	C₂³	semidirect
403. #394	C₂³	semidirect
404. #394	C₂³	semidirect
405. #394	C₂³	semidirect
406. #394	C₂³	semidirect
407. #394	C₂³	semidirect
408. #394	C₂³	semidirect
409. #394	C₂³	semidirect
410. #394	C₂³	semidirect
411. #394	C₂³	semidirect
412. #394	C₂³	semidirect
413. #394	C₂³	semidirect
414. #394	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
429. #393	C₂³	semidirect
447. #392	C₂³	semidirect
448. #392	C₂³	semidirect
449. #392	C₂³	semidirect
450. #392	C₂³	semidirect
451. #392	C₂³	semidirect
452. #392	C₂³	semidirect
453. #392	C₂³	semidirect
454. #392	C₂³	semidirect
455. #392	C₂³	semidirect
456. #392	C₂³	semidirect
457. #392	C₂³	semidirect
458. #392	C₂³	semidirect
459. #391	C₂³	semidirect
460. #391	C₂³	semidirect
461. #391	C₂³	semidirect
462. #391	C₂³	semidirect
475. #390	C₂³	semidirect
476. #390	C₂³	semidirect
477. #390	C₂³	semidirect
478. #390	C₂³	semidirect
479. #390	C₂³	semidirect
480. #390	C₂³	semidirect
481. #389	C₂³	semidirect
482. #389	C₂³	semidirect
483. #389	C₂³	semidirect
493. #388	C₂³	semidirect
494. #388	C₂³	semidirect
495. #388	C₂³	semidirect
496. #388	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. #388	C₂³	semidirect
511. #388	C₂³	semidirect
512. #388	C₂³	semidirect
513. #388	C₂³	semidirect
514. #388	C₂³	semidirect
515. #388	C₂³	semidirect
516. #387	C₂³	semidirect
517. #387	C₂³	semidirect
518. #387	C₂³	semidirect
519. #387	C₂³	semidirect
520. #387	C₂³	semidirect
521. #387	C₂³	semidirect
522. #387	C₂³	semidirect
523. #387	C₂³	semidirect
545. #386	C₂³	semidirect
546. #386	C₂³	semidirect
547. #386	C₂³	semidirect
548. #386	C₂³	semidirect
549. #386	C₂³	semidirect
550. #386	C₂³	semidirect
551. #386	C₂³	semidirect
552. #386	C₂³	semidirect
553. #386	C₂³	semidirect
554. #386	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
566. #386	C₂³	semidirect
567. #386	C₂³	semidirect
568. #386	C₂³	semidirect
569. #386	C₂³	semidirect
570. #386	C₂³	semidirect
575. #385	C₂³	semidirect
576. #385	C₂³	semidirect
577. #385	C₂³	semidirect
578. #385	C₂³	semidirect
579. #385	C₂³	semidirect
580. #385	C₂³	semidirect
581. #385	C₂³	semidirect
582. #383	C₂³	semidirect
583. #383	C₂³	semidirect
584. #382	C₂³	semidirect
588. #381	C₂³	semidirect
589. #381	C₂³	semidirect
590. #381	C₂³	semidirect
591. #381	C₂³	semidirect
592. #381	C₂³	semidirect
594. #380	C₂³	semidirect
595. #380	C₂³	semidirect
596. #380	C₂³	semidirect
616. #379	C₂³	semidirect
619. C₄×C₂²⋊C₄	C₂³	semidirect
620. C₄×C₂²⋊C₄	C₂³	semidirect
621. C₄×C₂²⋊C₄	C₂³	semidirect
622. C₄×C₂²⋊C₄	C₂³	semidirect
623. C₄×C₂²⋊C₄	C₂³	semidirect
624. C₄×C₂²⋊C₄	C₂³	semidirect
625. C₄×C₂²⋊C₄	C₂³	semidirect
626. #376	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#57974	2
#56353	2
#55417	2
#55320	2
#54815	2
#53455	2
#52054	2
#51993	2
#51902	2
#50635	2
#48997	2
#48088	2
#47848	2
#47658	2
#46601	2
#46428	2
#46354	2
#45460	2
#45458	2
#45441	2
#45438	2
#35222	2
#34980	2