Subgroups — #7713409

Order 512.

5390 conjugacy classes of subgroups.

The subgroup lattice has 1407 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#50292	C₂	1	4	yes	maximal, complemented
2	#49773	C₂	1	4	yes	maximal, complemented
3	#49748	C₂	1	4	yes	maximal, complemented
4	#49747	C₂	1	4	yes	maximal, complemented
5	#46644	C₂	1	4	yes	maximal, complemented
6	#46642	C₂	1	4	yes	maximal, complemented
7	#46631	C₂	1	4	yes	maximal, complemented
8	#46628	C₂	1	4	yes	maximal, complemented
9	#39551	C₂	1	2	yes	maximal, complemented
10	#39540	C₂	1	2	yes	maximal, complemented
11	#39423	C₂	1	2	yes	maximal, complemented
12	#39412	C₂	1	2	yes	maximal, complemented
13	#38126	C₂	1	4	yes	maximal, complemented
14	#38108	C₂	1	4	yes	maximal, complemented
15	#37457	C₂	1	2	yes	maximal, complemented
16	#36725	C₂	1	2	yes	maximal, complemented
17	#36714	C₂	1	2	yes	maximal, complemented
18	#35174	C₂	1	1	yes	maximal, characteristic, complemented
19	#35023	C₂	1	2	yes	maximal, complemented
20	#34988	C₂	1	2	yes	maximal, complemented
21	#34984	C₂	1	1	yes	maximal, characteristic, complemented
22	#34407	C₂	1	2	yes	maximal, complemented
23	C₂×#2321	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#544	C₂²	1	1	yes	characteristic, complemented
25	C₂×#538	C₂²	1	2	yes	—
26	C₂×#534	C₂²	1	2	yes	—
27	C₂×#534	C₂²	1	1	yes	characteristic, complemented
28	C₂²×#120	C₂²	1	1	yes	characteristic
29	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
30	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
31	#2854	C₂²	1	2	yes	complemented
32	#2851	C₂²	1	2	yes	complemented
33	#2850	C₂²	1	2	yes	complemented
34	#2848	C₂²	1	2	yes	complemented
35	#2848	C₂²	1	2	yes	complemented
36	#2847	C₂²	1	2	yes	—
37	#2846	C₂²	1	4	yes	complemented
38	#2834	C₂²	1	2	yes	complemented
39	#2827	C₂²	1	4	yes	complemented
40	#2824	C₂²	1	2	yes	complemented
41	#2803	C₂²	1	4	yes	complemented
42	#2803	C₂²	1	4	yes	complemented
43	#2801	C₂²	1	4	yes	complemented
44	#2801	C₂²	1	4	yes	complemented
45	#2800	C₂²	1	4	yes	complemented
46	#2800	C₂²	1	4	yes	complemented
47	#2797	C₂²	1	4	yes	complemented
48	#2783	C₂²	1	4	yes	complemented
49	#2779	C₂²	1	4	yes	complemented
50	#2778	C₂²	1	4	yes	complemented
51	#2778	C₂²	1	4	yes	complemented
52	#2777	C₂²	1	4	yes	complemented
53	#2761	C₂²	1	4	yes	complemented
54	#2757	C₂²	1	4	yes	complemented
55	#2756	C₂²	1	4	yes	complemented
56	#2753	C₂²	1	4	yes	complemented
57	#2751	C₂²	1	4	yes	complemented
58	#2749	C₂²	1	4	yes	complemented
59	#2736	C₂²	1	2	yes	complemented
60	#2735	C₂²	1	4	yes	complemented
61	#2735	C₂²	1	2	yes	complemented
62	#2731	C₂²	1	4	yes	complemented
63	#2730	C₂²	1	4	yes	complemented
64	#2725	C₂²	1	4	yes	complemented
65	#2716	C₂²	1	4	yes	complemented
66	#2711	C₂²	1	4	yes	complemented
67	#2707	C₂²	1	4	yes	complemented
68	#2707	C₂²	1	4	yes	complemented
69	#2706	C₂²	1	4	yes	complemented
70	#2705	C₂²	1	4	yes	complemented
71	#2701	C₂²	1	4	yes	complemented
72	#2697	C₂²	1	2	yes	complemented
73	#2697	C₂²	1	2	yes	complemented
74	#2697	C₂²	1	4	yes	complemented
75	#2697	C₂²	1	4	yes	complemented
76	#2696	C₂²	1	4	yes	complemented
77	#2694	C₂²	1	4	yes	complemented
78	#2685	C₂²	1	4	yes	complemented
79	#2685	C₂²	1	4	yes	complemented
80	#2684	C₂²	1	4	yes	complemented
81	#2679	C₂²	1	2	yes	complemented
82	#2679	C₂²	1	2	yes	complemented
83	#2679	C₂²	1	4	yes	complemented
84	#2678	C₂²	1	4	yes	—
85	#2678	C₂²	1	4	yes	—
86	#2678	C₂²	1	4	yes	—
87	#2678	C₂²	1	4	yes	—
88	#2678	C₂²	1	4	yes	complemented
89	#2678	C₂²	1	4	yes	complemented
90	#2670	C₂²	1	2	yes	complemented
91	#2670	C₂²	1	4	yes	complemented
92	#2668	C₂²	1	2	yes	complemented
93	#2653	C₂²	1	4	yes	complemented
94	#2652	C₂²	1	4	yes	complemented
95	#2643	C₂²	1	4	yes	complemented
96	#2633	C₂²	1	4	yes	complemented
97	#2630	C₂²	1	4	yes	complemented
98	#2626	C₂²	1	2	yes	complemented
99	#2626	C₂²	1	2	yes	complemented
100	#2626	C₂²	1	2	yes	complemented
101	#2622	C₂²	1	4	yes	complemented
102	#2622	C₂²	1	4	yes	complemented
103	#2618	C₂²	1	2	yes	complemented
104	#2617	C₂²	1	2	yes	—
105	#2617	C₂²	1	2	yes	—
106	#2602	C₂²	1	4	yes	complemented
107	#2601	C₂²	1	4	yes	complemented
108	#2597	C₂²	1	4	yes	complemented
109	#2597	C₂²	1	4	yes	complemented
110	#2595	C₂²	1	4	yes	complemented
111	#2594	C₂²	1	4	yes	complemented
112	#2594	C₂²	1	4	yes	complemented
113	#2593	C₂²	1	4	yes	complemented
114	#2578	C₂²	1	4	yes	complemented
115	#2576	C₂²	1	4	yes	complemented
116	#2558	C₂²	1	4	yes	complemented
117	#2558	C₂²	1	4	yes	complemented
118	#2558	C₂²	1	4	yes	complemented
119	#2557	C₂²	1	4	yes	complemented
120	#2554	C₂²	1	4	yes	complemented
121	#2554	C₂²	1	4	yes	complemented
122	#2545	C₂²	1	4	yes	complemented
123	#2539	C₂²	1	4	yes	complemented
124	#2525	C₂²	1	4	yes	complemented
125	#2523	C₂²	1	2	yes	complemented
126	#2519	C₂²	1	4	yes	complemented
127	#2518	C₂²	1	4	yes	complemented
128	#2516	C₂²	1	4	yes	complemented
129	#2513	C₂²	1	4	yes	complemented
130	#2510	C₂²	1	4	yes	complemented
131	#2510	C₂²	1	4	yes	complemented
132	#2510	C₂²	1	4	yes	complemented
133	#2498	C₂²	1	4	yes	complemented
134	#2495	C₂²	1	2	yes	complemented
135	#2494	C₂²	1	2	yes	complemented
136	#2491	C₂²	1	4	yes	complemented
137	#2490	C₂²	1	2	yes	complemented
138	#2490	C₂²	1	4	yes	complemented
139	#2489	C₂²	1	2	yes	complemented
140	#2488	C₂²	1	4	yes	complemented
141	#2480	C₂²	1	4	yes	complemented
142	#2480	C₂²	1	4	yes	complemented
143	#2480	C₂²	1	4	yes	complemented
144	#2479	C₂²	1	4	yes	complemented
145	#2473	C₂²	1	4	yes	complemented
146	#2472	C₂²	1	4	yes	complemented
147	#2472	C₂²	1	4	yes	complemented
148	#2472	C₂²	1	4	yes	complemented
149	#2472	C₂²	1	4	yes	complemented
150	#2460	C₂²	1	4	yes	complemented
151	#2458	C₂²	1	4	yes	complemented
152	#2455	C₂²	1	2	yes	complemented
153	#2454	C₂²	1	4	yes	complemented
154	#2454	C₂²	1	4	yes	complemented
155	#2452	C₂²	1	4	yes	complemented
156	#2452	C₂²	1	4	yes	complemented
157	#2450	C₂²	1	4	yes	complemented
158	#2443	C₂²	1	4	yes	complemented
159	#2427	C₂²	1	2	yes	complemented
160	#2426	C₂²	1	2	yes	complemented
161	#2425	C₂²	1	4	yes	complemented
162	#2425	C₂²	1	4	yes	complemented
163	#2424	C₂²	1	4	yes	—
164	#2424	C₂²	1	4	yes	complemented
165	#2424	C₂²	1	4	yes	complemented
166	#2424	C₂²	1	4	yes	complemented
167	#2424	C₂²	1	4	yes	complemented
168	#2424	C₂²	1	4	yes	complemented
169	#2421	C₂²	1	2	yes	complemented
170	#2420	C₂²	1	2	yes	complemented
171	#2418	C₂²	1	4	yes	complemented
172	#2418	C₂²	1	4	yes	complemented
173	#2418	C₂²	1	4	yes	complemented
174	#2412	C₂²	1	4	yes	complemented
175	#2412	C₂²	1	4	yes	complemented
176	#2411	C₂²	1	4	yes	complemented
177	#2411	C₂²	1	4	yes	complemented
178	#2411	C₂²	1	4	yes	complemented
179	#2405	C₂²	1	4	yes	—
180	#2403	C₂²	1	4	yes	—
181	#2377	C₂²	1	4	yes	complemented
182	#2376	C₂²	1	2	yes	complemented
183	#2375	C₂²	1	2	yes	complemented
184	#2374	C₂²	1	2	yes	complemented
185	#2363	C₂²	1	4	yes	complemented
186	#2359	C₂²	1	4	yes	complemented
187	#2359	C₂²	1	4	yes	complemented
188	#2358	C₂²	1	2	yes	complemented
189	#2342	C₂²	1	4	yes	complemented
190	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
191	#2335	C₂²	1	4	yes	complemented
192	#2333	C₂²	1	4	yes	complemented
193	#2324	C₂²	1	4	yes	complemented
194	#2321	C₂²	1	4	yes	complemented
195	#2321	C₂²	1	4	yes	complemented
196	#2321	C₂²	1	4	yes	complemented
197	#2321	C₂²	1	4	yes	complemented
198	#2321	C₂²	1	4	yes	complemented
199	#2321	C₂²	1	4	yes	complemented
200	#2321	C₂²	1	4	yes	complemented
201	#2318	C₂²	1	4	yes	complemented
202	#2316	C₂²	1	1	yes	characteristic, complemented
203	#2315	C₂²	1	1	yes	characteristic, complemented
204	#2312	C₂²	1	2	yes	complemented
205	#2309	C₂²	1	2	yes	—
206	C₄×C₂²⋊Q₈	C₂²	1	2	yes	complemented
207	C₄×#121	C₂²	1	2	yes	complemented
208	C₄×#120	C₂²	1	4	yes	complemented
209	#2296	C₂²	1	2	yes	complemented
210	C₂×#390	C₂²	1	2	yes	—
211	C₂×#388	C₂²	1	2	yes	complemented
212	C₂×#388	C₂²	1	2	yes	complemented
213	C₂×#386	C₂²	1	1	yes	characteristic
214	C₂×#386	C₂²	1	2	yes	—
215	C₂×#386	C₂²	1	2	yes	complemented
216	C₂×#385	C₂²	1	1	yes	characteristic, complemented
217	C₂×#379	C₂²	1	1	yes	characteristic, complemented
218	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
219	C₂⁶	C₂³	1	1	yes	characteristic
220	C₂³×D₄	C₂³	1	2	yes	—
221	C₂³×D₄	C₂³	1	2	yes	—
222	C₂³×D₄	C₂³	1	1	yes	characteristic
223	C₂⁴×C₄	C₂³	1	1	yes	characteristic
224	C₂⁴×C₄	C₂³	1	1	yes	characteristic
225	C₂⁴×C₄	C₂³	1	1	yes	characteristic
226	#544	—	4	4	no	—
227	#538	—	4	8	no	—
228	#534	—	2	16	no	—
229	#534	—	4	4	no	—
230	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
231	C₂×#126	C₂³	1	4	yes	—
232	C₂×#126	C₂³	1	4	yes	—
233	C₂×#125	C₂³	1	4	yes	complemented
234	C₂×#125	C₂³	1	2	yes	complemented
235	C₂×#125	C₂³	1	4	yes	complemented
236	C₂×#124	C₂³	1	4	yes	—
237	C₂×#124	C₂³	1	4	yes	—
238	C₂×#124	C₂³	1	2	yes	complemented
239	C₂×#123	C₂³	1	2	yes	—
240	C₂×#123	C₂³	1	4	yes	—
241	C₂×#123	C₂³	1	2	yes	—
242	C₂×#123	C₂³	1	4	yes	—
243	C₂×#123	C₂³	1	4	yes	—
244	C₂×#123	C₂³	1	4	yes	—
245	C₂×#123	C₂³	1	4	yes	—
246	C₂×#123	C₂³	1	4	yes	complemented
247	C₂×#123	C₂³	1	4	yes	complemented
248	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
249	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
250	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
251	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
252	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
253	C₂×#121	C₂³	1	4	yes	—
254	C₂×#121	C₂³	1	2	yes	—
255	C₂×#121	C₂³	1	4	yes	—
256	C₂×#121	C₂³	1	2	yes	—
257	C₂×#121	C₂³	1	4	yes	—
258	C₂×#121	C₂³	1	2	yes	—
259	C₂×#121	C₂³	1	2	yes	—
260	C₂×#121	C₂³	1	4	yes	—
261	C₂×#120	—	2	8	no	—
262	C₂×#120	C₂³	1	2	yes	—
263	C₂×#120	C₂³	1	2	yes	—
264	C₂×#120	C₂³	1	4	yes	—
265	C₂×#120	C₂³	1	2	yes	—
266	C₂×#120	C₂³	1	4	yes	—
267	C₂×#120	C₂³	1	2	yes	—
268	C₂×#120	C₂³	1	4	yes	—
269	C₂×#120	C₂³	1	4	yes	—
270	C₂×#120	C₂³	1	4	yes	—
271	C₂×#120	C₂³	1	4	yes	—
272	C₂×#120	C₂³	1	4	yes	—
273	C₂×#120	C₂³	1	4	yes	—
274	C₂×#120	C₂³	1	4	yes	—
275	C₂×#120	C₂³	1	4	yes	—
276	C₂×#120	C₂³	1	4	yes	complemented
277	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
278	C₂×C₄×D₄	—	4	4	no	—
279	C₂×C₄×D₄	C₂³	1	4	yes	—
280	C₂×C₄×D₄	C₂³	1	4	yes	—
281	C₂×C₄×D₄	C₂³	1	4	yes	—
282	C₂×C₄×D₄	C₂³	1	4	yes	—
283	C₂×C₄×D₄	C₂³	1	4	yes	—
284	C₂×C₄×D₄	C₂³	1	4	yes	—
285	C₂×C₄×D₄	C₂³	1	2	yes	complemented
286	C₂×#117	C₂³	1	2	yes	—
287	C₂×#117	C₂³	1	2	yes	—
288	C₂×#117	C₂³	1	4	yes	complemented
289	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
291	C₂²×C₂²⋊C₄	—	4	4	no	—
292	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
293	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
294	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
297	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
299	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
300	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
301	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
303	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
304	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
305	C₂²×C₂²⋊C₄	C₂³	1	4	yes	complemented
306	C₂²×C₂²⋊C₄	C₂³	1	4	yes	complemented
307	C₂²×C₄²	C₂³	1	1	yes	characteristic
308	C₂²×C₄²	C₂³	1	2	yes	—
309	#401	C₂³	1	4	yes	complemented
310	#401	C₂³	1	4	yes	complemented
311	#400	C₂³	1	4	yes	complemented
312	#400	C₂³	1	4	yes	complemented
313	#400	C₂³	1	4	yes	complemented
314	#400	C₂³	1	4	yes	complemented
315	#400	C₂³	1	4	yes	complemented
316	#400	C₂³	1	4	yes	complemented
317	#399	C₂³	1	2	yes	—
318	#399	C₂³	1	2	yes	—
319	#399	C₂³	1	4	yes	—
320	#399	C₂³	1	4	yes	—
321	#399	C₂³	1	4	yes	complemented
322	#399	C₂³	1	4	yes	complemented
323	#398	C₂³	1	4	yes	complemented
324	#398	C₂³	1	4	yes	complemented
325	#398	C₂³	1	4	yes	complemented
326	#398	C₂³	1	4	yes	complemented
327	#398	C₂³	1	4	yes	complemented
328	#398	C₂³	1	4	yes	complemented
329	#397	C₂³	1	4	yes	—
330	#397	C₂³	1	4	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	2	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	4	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	#396	C₂³	1	4	yes	—
352	#396	C₂³	1	4	yes	—
353	#396	C₂³	1	4	yes	—
354	#396	C₂³	1	4	yes	—
355	#396	C₂³	1	4	yes	—
356	#396	C₂³	1	4	yes	—
357	#396	C₂³	1	4	yes	—
358	#396	C₂³	1	4	yes	—
359	#396	C₂³	1	4	yes	—
360	#396	C₂³	1	4	yes	—
361	#396	C₂³	1	4	yes	complemented
362	#396	C₂³	1	4	yes	complemented
363	#396	C₂³	1	4	yes	complemented
364	#396	C₂³	1	4	yes	complemented
365	#396	C₂³	1	4	yes	complemented
366	#396	C₂³	1	4	yes	complemented
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	complemented
394	#394	C₂³	1	4	yes	complemented
395	#393	C₂³	1	2	yes	—
396	#393	C₂³	1	2	yes	—
397	#393	C₂³	1	4	yes	—
398	#393	C₂³	1	4	yes	—
399	#393	C₂³	1	4	yes	complemented
400	#393	C₂³	1	4	yes	complemented
401	#392	C₂³	1	2	yes	—
402	#392	C₂³	1	4	yes	—
403	#392	C₂³	1	2	yes	—
404	#392	C₂³	1	4	yes	—
405	#392	C₂³	1	4	yes	—
406	#392	C₂³	1	4	yes	—
407	#392	C₂³	1	4	yes	—
408	#392	C₂³	1	4	yes	—
409	#391	C₂³	1	2	yes	complemented
410	#391	C₂³	1	4	yes	complemented
411	#391	C₂³	1	2	yes	complemented
412	#390	C₂³	1	4	yes	—
413	#390	C₂³	1	2	yes	—
414	#390	C₂³	1	2	yes	—
415	#390	C₂³	1	2	yes	—
416	#390	C₂³	1	4	yes	—
417	#390	C₂³	1	2	yes	—
418	#390	C₂³	1	4	yes	—
419	#390	C₂³	1	4	yes	—
420	#390	C₂³	1	4	yes	—
421	#390	C₂³	1	4	yes	—
422	#390	C₂³	1	4	yes	—
423	#390	C₂³	1	4	yes	—
424	#390	C₂³	1	4	yes	—
425	#390	C₂³	1	4	yes	—
426	#390	C₂³	1	4	yes	—
427	#390	C₂³	1	4	yes	—
428	#390	C₂³	1	4	yes	—
429	#390	C₂³	1	4	yes	—
430	#390	C₂³	1	4	yes	—
431	#390	C₂³	1	4	yes	—
432	#390	C₂³	1	4	yes	complemented
433	#390	C₂³	1	4	yes	complemented
434	#390	C₂³	1	2	yes	complemented
435	#390	C₂³	1	4	yes	complemented
436	#390	C₂³	1	2	yes	complemented
437	#389	C₂³	1	4	yes	complemented
438	#389	C₂³	1	4	yes	complemented
439	#389	C₂³	1	4	yes	complemented
440	#389	C₂³	1	4	yes	complemented
441	#389	C₂³	1	4	yes	complemented
442	#389	C₂³	1	2	yes	complemented
443	#389	C₂³	1	2	yes	complemented
444	#389	C₂³	1	4	yes	complemented
445	#389	C₂³	1	2	yes	complemented
446	#389	C₂³	1	2	yes	complemented
447	#389	C₂³	1	4	yes	complemented
448	#389	C₂³	1	4	yes	complemented
449	#388	C₂³	1	4	yes	—
450	#388	C₂³	1	4	yes	—
451	#388	C₂³	1	4	yes	—
452	#388	C₂³	1	4	yes	—
453	#388	C₂³	1	4	yes	—
454	#388	C₂³	1	4	yes	—
455	#388	C₂³	1	4	yes	—
456	#388	C₂³	1	4	yes	—
457	#388	C₂³	1	4	yes	—
458	#388	C₂³	1	4	yes	—
459	#388	C₂³	1	4	yes	—
460	#388	C₂³	1	4	yes	—
461	#388	C₂³	1	4	yes	—
462	#388	C₂³	1	4	yes	—
463	#388	C₂³	1	4	yes	—
464	#388	C₂³	1	4	yes	—
465	#388	C₂³	1	4	yes	—
466	#388	C₂³	1	4	yes	—
467	#388	C₂³	1	4	yes	—
468	#388	C₂³	1	4	yes	—
469	#388	C₂³	1	4	yes	—
470	#388	C₂³	1	4	yes	—
471	#388	C₂³	1	4	yes	—
472	#388	C₂³	1	4	yes	—
473	#388	C₂³	1	4	yes	—
474	#388	C₂³	1	4	yes	—
475	#388	C₂³	1	4	yes	—
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	complemented
482	#388	C₂³	1	4	yes	complemented
483	#388	C₂³	1	4	yes	complemented
484	#388	C₂³	1	4	yes	complemented
485	#388	C₂³	1	4	yes	complemented
486	#388	C₂³	1	4	yes	complemented
487	#388	C₂³	1	4	yes	complemented
488	#388	C₂³	1	4	yes	complemented
489	#388	C₂³	1	4	yes	complemented
490	#388	C₂³	1	4	yes	complemented
491	#388	C₂³	1	4	yes	complemented
492	#388	C₂³	1	4	yes	complemented
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	#387	C₂³	1	4	yes	complemented
500	#387	C₂³	1	4	yes	complemented
501	#387	C₂³	1	4	yes	complemented
502	#387	C₂³	1	4	yes	complemented
503	#387	C₂³	1	4	yes	complemented
504	#387	C₂³	1	4	yes	complemented
505	#387	C₂³	1	4	yes	complemented
506	#387	C₂³	1	4	yes	complemented
507	#387	C₂³	1	4	yes	complemented
508	#387	C₂³	1	4	yes	complemented
509	#387	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	#386	C₂³	1	4	yes	—
514	#386	C₂³	1	4	yes	—
515	#386	C₂³	1	4	yes	—
516	#386	C₂³	1	4	yes	—
517	#386	C₂³	1	4	yes	—
518	#386	C₂³	1	4	yes	—
519	#386	C₂³	1	2	yes	—
520	#386	C₂³	1	2	yes	—
521	#386	C₂³	1	4	yes	—
522	#386	C₂³	1	4	yes	—
523	#386	C₂³	1	4	yes	—
524	#386	C₂³	1	4	yes	—
525	#386	C₂³	1	4	yes	—
526	#386	C₂³	1	4	yes	—
527	#386	C₂³	1	4	yes	—
528	#386	C₂³	1	4	yes	—
529	#386	C₂³	1	4	yes	—
530	#386	C₂³	1	4	yes	—
531	#386	C₂³	1	4	yes	—
532	#386	C₂³	1	4	yes	—
533	#386	C₂³	1	4	yes	—
534	#386	C₂³	1	4	yes	—
535	#386	C₂³	1	4	yes	—
536	#386	C₂³	1	4	yes	—
537	#386	C₂³	1	4	yes	—
538	#386	C₂³	1	4	yes	—
539	#386	C₂³	1	4	yes	—
540	#386	C₂³	1	4	yes	complemented
541	#386	C₂³	1	4	yes	complemented
542	#386	C₂³	1	4	yes	complemented
543	#386	C₂³	1	4	yes	complemented
544	#385	C₂³	1	2	yes	—
545	#385	C₂³	1	2	yes	—
546	#385	C₂³	1	4	yes	—
547	#385	C₂³	1	4	yes	—
548	#385	C₂³	1	4	yes	—
549	#385	C₂³	1	4	yes	—
550	#385	C₂³	1	4	yes	—
551	#385	C₂³	1	4	yes	—
552	#385	C₂³	1	4	yes	—
553	#385	C₂³	1	4	yes	—
554	#385	C₂³	1	4	yes	—
555	#385	C₂³	1	4	yes	—
556	#385	C₂³	1	4	yes	—
557	#385	C₂³	1	4	yes	complemented
558	#385	C₂³	1	4	yes	complemented
559	#385	C₂³	1	4	yes	complemented
560	#385	C₂³	1	4	yes	complemented
561	#385	C₂³	1	4	yes	complemented
562	#385	C₂³	1	4	yes	complemented
563	#385	C₂³	1	4	yes	complemented
564	#385	C₂³	1	4	yes	complemented
565	#383	C₂³	1	4	yes	complemented
566	#383	C₂³	1	4	yes	complemented
567	#382	C₂³	1	4	yes	complemented
568	#382	C₂³	1	2	yes	complemented
569	#382	C₂³	1	2	yes	complemented
570	#381	C₂³	1	4	yes	complemented
571	#381	C₂³	1	4	yes	complemented
572	#380	C₂³	1	2	yes	—
573	#380	C₂³	1	2	yes	—
574	#380	C₂³	1	2	yes	—
575	#380	C₂³	1	2	yes	—
576	#380	C₂³	1	2	yes	—
577	#380	C₂³	1	2	yes	—
578	#380	C₂³	1	2	yes	—
579	#380	C₂³	1	2	yes	—
580	#380	C₂³	1	4	yes	complemented
581	#380	C₂³	1	4	yes	complemented
582	#380	C₂³	1	4	yes	complemented
583	#380	C₂³	1	4	yes	complemented
584	#380	C₂³	1	4	yes	complemented
585	#379	C₂³	1	4	yes	—
586	#379	C₂³	1	4	yes	—
587	#379	C₂³	1	4	yes	—
588	#379	C₂³	1	2	yes	—
589	#379	C₂³	1	2	yes	—
590	#379	C₂³	1	4	yes	—
591	#379	C₂³	1	4	yes	—
592	#379	C₂³	1	4	yes	—
593	#379	C₂³	1	4	yes	—
594	#379	C₂³	1	4	yes	—
595	#379	C₂³	1	4	yes	—
596	#379	C₂³	1	4	yes	complemented
597	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
598	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
599	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
600	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
601	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
602	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
603	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
604	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
605	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
606	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
607	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
608	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
609	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
610	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
611	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
612	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
613	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
614	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
615	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
616	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
617	C₂×#95	C₂³	1	2	yes	—
618	C₂×#95	C₂³	1	2	yes	—
619	C₂×#95	C₂³	1	2	yes	—
620	C₂×#95	C₂³	1	4	yes	complemented
621	C₂⁵	—	2	4	no	—
622	C₂⁵	—	4	2	no	—
623	C₂⁵	—	4	2	no	—
624	C₂⁵	—	8	2	no	—
625	C₂⁵	—	8	2	no	—
626	C₂⁵	C₂⁴	1	2	yes	—
627	C₂⁵	C₂⁴	1	1	yes	characteristic
628	C₂⁵	C₂⁴	1	1	yes	characteristic
629	C₂⁵	C₂⁴	1	2	yes	—
630	C₂⁵	C₂⁴	1	2	yes	—
631	C₂⁵	C₂⁴	1	2	yes	—
632	C₂²×Q₈	C₂⁴	1	2	yes	—
633	C₂²×Q₈	C₂⁴	1	2	yes	—
634	C₂²×D₄	—	2	8	no	—
635	C₂²×D₄	—	2	8	no	—
636	C₂²×D₄	—	4	2	no	—
637	C₂²×D₄	—	4	2	no	—
638	C₂²×D₄	—	4	4	no	—
639	C₂²×D₄	—	4	4	no	—
640	C₂²×D₄	—	8	2	no	—
641	C₂²×D₄	—	8	2	no	—
642	C₂²×D₄	#41	1	8	yes	—
643	C₂²×D₄	C₂⁴	1	4	yes	—
644	C₂²×D₄	C₂⁴	1	4	yes	—
645	C₂²×D₄	C₂⁴	1	4	yes	—
646	C₂²×D₄	C₂⁴	1	2	yes	—
647	C₂²×D₄	C₂⁴	1	4	yes	—
648	C₂²×D₄	C₂⁴	1	4	yes	—
649	C₂²×D₄	C₂⁴	1	4	yes	—
650	C₂²×D₄	C₂⁴	1	4	yes	—
651	C₂²×D₄	C₂⁴	1	4	yes	—
652	C₂²×D₄	C₂⁴	1	4	yes	—
653	C₂²×D₄	C₂⁴	1	4	yes	—
654	C₂²×D₄	C₂⁴	1	2	yes	—
655	C₂²×D₄	C₂⁴	1	2	yes	—
656	C₂²×D₄	C₂⁴	1	2	yes	—
657	C₂³×C₄	—	2	4	no	—
658	C₂³×C₄	—	4	2	no	—
659	C₂³×C₄	—	4	2	no	—
660	C₂³×C₄	—	8	2	no	—
661	C₂³×C₄	—	8	2	no	—
662	C₂³×C₄	—	8	2	no	—
663	C₂³×C₄	C₂⁴	1	1	yes	characteristic
664	C₂³×C₄	C₂⁴	1	1	yes	characteristic
665	C₂³×C₄	C₂⁴	1	2	yes	—
666	C₂³×C₄	C₂⁴	1	2	yes	—
667	C₂³×C₄	C₂⁴	1	1	yes	characteristic
668	C₂³×C₄	C₂⁴	1	2	yes	—
669	C₂³×C₄	C₂⁴	1	2	yes	—
670	C₂³×C₄	C₂⁴	1	2	yes	—
671	C₂³×C₄	C₂⁴	1	1	yes	characteristic
672	C₂³×C₄	C₂⁴	1	4	yes	—
673	C₂³×C₄	C₂⁴	1	2	yes	—
674	C₂³×C₄	C₂⁴	1	2	yes	—
675	C₂³×C₄	C₂⁴	1	2	yes	—
676	C₂³×C₄	C₂⁴	1	4	yes	—
677	C₂³×C₄	C₂⁴	1	4	yes	—
678	C₂³×C₄	C₂⁴	1	4	yes	—
679	C₂³×C₄	C₂⁴	1	1	yes	characteristic
680	C₄⋊Q₈	—	4	8	no	—
681	#126	—	4	8	no	—
682	#126	—	8	4	no	—
683	#125	—	4	8	no	—
684	#125	—	8	2	no	—
685	#125	—	8	4	no	—
686	#124	—	4	8	no	—
687	#124	—	8	4	no	—
688	#124	—	8	2	no	—
689	#123	—	2	8	no	—
690	#123	—	2	8	no	—
691	#123	—	2	16	no	—
692	#123	—	4	8	no	—
693	#123	—	4	8	no	—
694	#123	—	8	4	no	—
695	#123	—	8	4	no	—
696	#123	—	8	4	no	—
697	#123	—	8	4	no	—
698	C₂²⋊Q₈	—	2	8	no	—
699	C₂²⋊Q₈	—	4	4	no	—
700	C₂²⋊Q₈	—	8	2	no	—
701	C₂²⋊Q₈	—	8	2	no	—
702	C₂²⋊Q₈	—	8	4	no	—
703	#121	—	2	16	no	—
704	#121	—	2	16	no	—
705	#121	—	2	8	no	—
706	#121	—	4	8	no	—
707	#121	—	4	4	no	—
708	#121	—	8	2	no	—
709	#121	—	8	2	no	—
710	#121	—	8	4	no	—
711	#120	—	2	16	no	—
712	#120	—	2	8	no	—
713	#120	—	2	8	no	—
714	#120	—	2	16	no	—
715	#120	—	2	8	no	—
716	#120	—	2	8	no	—
717	#120	—	4	8	no	—
718	#120	—	4	8	no	—
719	#120	—	4	8	no	—
720	#120	—	8	4	no	—
721	#120	—	8	4	no	—
722	#120	—	8	4	no	—
723	#120	—	8	4	no	—
724	#120	—	8	4	no	—
725	#120	—	8	4	no	—
726	C₄×Q₈	—	8	2	no	—
727	C₄×D₄	—	4	8	no	—
728	C₄×D₄	—	4	8	no	—
729	C₄×D₄	—	4	8	no	—
730	C₄×D₄	—	4	8	no	—
731	C₄×D₄	—	8	4	no	—
732	C₄×D₄	—	8	4	no	—
733	C₄×D₄	—	8	2	no	—
734	#117	—	4	4	no	—
735	#117	—	4	4	no	—
736	#117	—	8	4	no	—
737	C₂×C₄⋊C₄	—	2	4	no	—
738	C₂×C₄⋊C₄	—	8	2	no	—
739	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
740	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
741	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
742	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
743	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
744	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
745	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
746	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
747	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
748	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
749	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
750	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
751	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
752	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
753	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
754	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
755	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
756	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
757	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
758	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
759	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
760	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
761	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
762	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
763	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
764	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
765	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
766	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
767	C₂×C₄⋊C₄	C₂⁴	1	4	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×C₂²⋊C₄	—	2	4	no	—
774	C₂×C₂²⋊C₄	—	2	8	no	—
775	C₂×C₂²⋊C₄	—	2	8	no	—
776	C₂×C₂²⋊C₄	—	2	8	no	—
777	C₂×C₂²⋊C₄	—	2	4	no	—
778	C₂×C₂²⋊C₄	—	4	8	no	—
779	C₂×C₂²⋊C₄	—	4	8	no	—
780	C₂×C₂²⋊C₄	—	4	4	no	—
781	C₂×C₂²⋊C₄	—	4	2	no	—
782	C₂×C₂²⋊C₄	—	4	2	no	—
783	C₂×C₂²⋊C₄	—	8	2	no	—
784	C₂×C₂²⋊C₄	—	8	2	no	—
785	C₂×C₂²⋊C₄	—	8	2	no	—
786	C₂×C₂²⋊C₄	—	8	4	no	—
787	C₂×C₂²⋊C₄	—	8	4	no	—
788	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
789	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
790	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
791	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
792	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
793	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
794	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
795	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
796	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
797	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
798	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
799	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
800	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
801	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
802	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
803	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
804	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
805	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
806	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
807	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
810	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
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	4	yes	—
816	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
817	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
818	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	4	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	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×C₄²	—	4	2	no	—
855	C₂×C₄²	—	8	2	no	—
856	C₂×C₄²	C₂⁴	1	4	yes	—
857	C₂×C₄²	C₂⁴	1	2	yes	—
858	C₂×C₄²	C₂⁴	1	2	yes	—
859	C₂×C₄²	C₂⁴	1	4	yes	—
860	C₂×C₄²	C₂⁴	1	4	yes	—
861	C₂×C₄²	C₂⁴	1	4	yes	—
862	C₂×C₄²	C₂⁴	1	4	yes	—
863	C₂×C₄²	C₂⁴	1	4	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	2	yes	—
868	C₂×C₄²	C₂⁴	1	2	yes	—
869	C₂×C₄²	C₂⁴	1	2	yes	—
870	#95	C₂⁴	1	2	yes	—
871	#95	C₂⁴	1	2	yes	—
872	#95	C₂⁴	1	2	yes	—
873	#95	C₂⁴	1	2	yes	—
874	#95	C₂⁴	1	4	yes	—
875	#95	C₂⁴	1	4	yes	—
876	#95	C₂⁴	1	4	yes	—
877	#95	C₂⁴	1	4	yes	—
878	#95	C₂⁴	1	4	yes	—
879	#95	C₂⁴	1	4	yes	—
880	#95	C₂⁴	1	4	yes	—
881	#95	C₂⁴	1	4	yes	—
882	#95	C₂⁴	1	4	yes	—
883	#95	C₂⁴	1	4	yes	—
884	#95	C₂⁴	1	4	yes	—
885	#95	C₂⁴	1	4	yes	—
886	#95	C₂⁴	1	4	yes	—
887	#95	C₂⁴	1	4	yes	—
888	#95	C₂⁴	1	4	yes	—
889	#95	C₂⁴	1	4	yes	—
890	#95	C₂⁴	1	4	yes	—
891	#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	4	yes	—
904	#95	C₂⁴	1	2	yes	—
905	#95	C₂⁴	1	2	yes	—
906	#95	C₂⁴	1	2	yes	—
907	#95	C₂⁴	1	2	yes	—
908	#95	C₂⁴	1	4	yes	—
909	#95	C₂⁴	1	4	yes	—
910	#95	C₂⁴	1	4	yes	—
911	#95	C₂⁴	1	4	yes	—
912	C₂⁴	—	2	2	no	—
913	C₂⁴	—	2	2	no	—
914	C₂⁴	—	2	2	no	—
915	C₂⁴	—	2	2	no	—
916	C₂⁴	—	2	4	no	—
917	C₂⁴	—	2	4	no	—
918	C₂⁴	—	2	4	no	—
919	C₂⁴	—	2	4	no	—
920	C₂⁴	—	2	4	no	—
921	C₂⁴	—	2	4	no	—
922	C₂⁴	—	4	2	no	—
923	C₂⁴	—	4	2	no	—
924	C₂⁴	—	4	2	no	—
925	C₂⁴	—	4	2	no	—
926	C₂⁴	—	4	2	no	—
927	C₂⁴	—	4	2	no	—
928	C₂⁴	—	4	2	no	—
929	C₂⁴	—	4	2	no	—
930	C₂⁴	—	4	2	no	—
931	C₂⁴	—	4	2	no	—
932	C₂⁴	—	4	2	no	—
933	C₂⁴	—	4	2	no	—
934	C₂⁴	—	4	4	no	—
935	C₂⁴	—	4	4	no	—
936	C₂⁴	—	4	4	no	—
937	C₂⁴	—	4	4	no	—
938	C₂⁴	—	4	2	no	—
939	C₂⁴	—	4	4	no	—
940	C₂⁴	—	4	4	no	—
941	C₂⁴	—	4	2	no	—
942	C₂⁴	—	4	16	no	—
943	C₂⁴	—	8	16	no	—
944	C₂⁴	—	8	8	no	—
945	C₂⁴	—	8	8	no	—
946	C₂⁴	—	8	16	no	—
947	C₂⁴	C₂×#41	1	4	yes	—
948	C₂⁴	C₂×#41	1	4	yes	—
949	C₂⁴	C₂⁵	1	4	yes	—
950	C₂⁴	C₂⁵	1	4	yes	—
951	C₂⁴	C₂⁵	1	1	yes	characteristic
952	C₂⁴	C₂⁵	1	1	yes	characteristic
953	C₂⁴	C₂⁵	1	2	yes	—
954	C₂⁴	C₂⁵	1	1	yes	characteristic
955	C₂×Q₈	—	2	4	no	—
956	C₂×Q₈	—	4	2	no	—
957	C₂×Q₈	—	4	2	no	—
958	C₂×Q₈	—	4	2	no	—
959	C₂×Q₈	—	4	4	no	—
960	C₂×D₄	—	2	8	no	—
961	C₂×D₄	—	2	8	no	—
962	C₂×D₄	—	2	8	no	—
963	C₂×D₄	—	2	8	no	—
964	C₂×D₄	—	2	8	no	—
965	C₂×D₄	—	2	8	no	—
966	C₂×D₄	—	2	8	no	—
967	C₂×D₄	—	2	8	no	—
968	C₂×D₄	—	2	4	no	—
969	C₂×D₄	—	4	2	no	—
970	C₂×D₄	—	4	2	no	—
971	C₂×D₄	—	4	16	no	—
972	C₂×D₄	—	4	2	no	—
973	C₂×D₄	—	4	2	no	—
974	C₂×D₄	—	4	4	no	—
975	C₂×D₄	—	4	4	no	—
976	C₂×D₄	—	4	2	no	—
977	C₂×D₄	—	4	4	no	—
978	C₂×D₄	—	4	4	no	—
979	C₂×D₄	—	4	4	no	—
980	C₂×D₄	—	4	4	no	—
981	C₂×D₄	—	4	4	no	—
982	C₂×D₄	—	4	2	no	—
983	C₂×D₄	—	4	4	no	—
984	C₂×D₄	—	4	4	no	—
985	C₂×D₄	—	4	4	no	—
986	C₂×D₄	—	4	2	no	—
987	C₂×D₄	—	4	4	no	—
988	C₂×D₄	—	4	4	no	—
989	C₂×D₄	—	4	4	no	—
990	C₂×D₄	—	4	4	no	—
991	C₂×D₄	—	4	4	no	—
992	C₂×D₄	—	4	4	no	—
993	C₂×D₄	—	4	4	no	—
994	C₂×D₄	—	4	4	no	—
995	C₂×D₄	—	4	4	no	—
996	C₂×D₄	—	4	4	no	—
997	C₂×D₄	—	4	4	no	—
998	C₂×D₄	—	4	4	no	—
999	C₂×D₄	—	4	4	no	—
1000	C₂×D₄	—	8	16	no	—
1001	C₂×D₄	—	8	16	no	—
1002	C₂×D₄	C₂×#41	1	8	yes	—
1003	C₂×D₄	C₂×#41	1	8	yes	—
1004	C₂²×C₄	—	2	2	no	—
1005	C₂²×C₄	—	2	2	no	—
1006	C₂²×C₄	—	2	4	no	—
1007	C₂²×C₄	—	2	2	no	—
1008	C₂²×C₄	—	2	8	no	—
1009	C₂²×C₄	—	2	4	no	—
1010	C₂²×C₄	—	2	2	no	—
1011	C₂²×C₄	—	2	4	no	—
1012	C₂²×C₄	—	2	2	no	—
1013	C₂²×C₄	—	2	4	no	—
1014	C₂²×C₄	—	2	4	no	—
1015	C₂²×C₄	—	2	4	no	—
1016	C₂²×C₄	—	4	2	no	—
1017	C₂²×C₄	—	4	2	no	—
1018	C₂²×C₄	—	4	2	no	—
1019	C₂²×C₄	—	4	2	no	—
1020	C₂²×C₄	—	4	2	no	—
1021	C₂²×C₄	—	4	2	no	—
1022	C₂²×C₄	—	4	2	no	—
1023	C₂²×C₄	—	4	2	no	—
1024	C₂²×C₄	—	4	2	no	—
1025	C₂²×C₄	—	4	4	no	—
1026	C₂²×C₄	—	4	2	no	—
1027	C₂²×C₄	—	4	2	no	—
1028	C₂²×C₄	—	4	4	no	—
1029	C₂²×C₄	—	4	2	no	—
1030	C₂²×C₄	—	4	4	no	—
1031	C₂²×C₄	—	4	4	no	—
1032	C₂²×C₄	—	4	4	no	—
1033	C₂²×C₄	—	4	4	no	—
1034	C₂²×C₄	—	4	2	no	—
1035	C₂²×C₄	—	4	2	no	—
1036	C₂²×C₄	—	4	2	no	—
1037	C₂²×C₄	—	4	2	no	—
1038	C₂²×C₄	—	4	4	no	—
1039	C₂²×C₄	—	4	2	no	—
1040	C₂²×C₄	—	4	2	no	—
1041	C₂²×C₄	—	4	4	no	—
1042	C₂²×C₄	—	4	4	no	—
1043	C₂²×C₄	—	4	4	no	—
1044	C₂²×C₄	—	4	4	no	—
1045	C₂²×C₄	—	4	4	no	—
1046	C₂²×C₄	—	4	4	no	—
1047	C₂²×C₄	—	8	8	no	—
1048	C₂²×C₄	—	8	8	no	—
1049	C₂²×C₄	—	8	8	no	—
1050	C₂²×C₄	C₂×#41	1	4	yes	—
1051	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1052	C₂²×C₄	C₂⁵	1	2	yes	—
1053	C₂²×C₄	C₂⁵	1	2	yes	—
1054	C₂²×C₄	C₂⁵	1	2	yes	—
1055	C₂²×C₄	C₂⁵	1	4	yes	—
1056	C₂²×C₄	C₂⁵	1	2	yes	—
1057	C₂²×C₄	C₂⁵	1	4	yes	—
1058	C₂²×C₄	C₂⁵	1	4	yes	—
1059	C₂²×C₄	C₂⁵	1	4	yes	—
1060	C₂²×C₄	C₂⁵	1	4	yes	—
1061	C₂²×C₄	C₂⁵	1	2	yes	—
1062	C₂²×C₄	C₂⁵	1	2	yes	—
1063	C₂²×C₄	C₂⁵	1	4	yes	—
1064	C₂²×C₄	C₂⁵	1	4	yes	—
1065	C₂²×C₄	C₂⁵	1	2	yes	—
1066	C₂²×C₄	C₂⁵	1	4	yes	—
1067	C₂²×C₄	C₂⁵	1	2	yes	—
1068	C₂²×C₄	C₂⁵	1	2	yes	—
1069	C₄⋊C₄	—	2	8	no	—
1070	C₄⋊C₄	—	2	8	no	—
1071	C₄⋊C₄	—	2	8	no	—
1072	C₄⋊C₄	—	2	4	no	—
1073	C₄⋊C₄	—	2	8	no	—
1074	C₄⋊C₄	—	2	4	no	—
1075	C₄⋊C₄	—	4	4	no	—
1076	C₄⋊C₄	—	4	4	no	—
1077	C₄⋊C₄	—	4	4	no	—
1078	C₄⋊C₄	—	4	2	no	—
1079	C₄⋊C₄	—	4	2	no	—
1080	C₄⋊C₄	—	4	4	no	—
1081	C₄⋊C₄	—	4	4	no	—
1082	C₄⋊C₄	—	4	4	no	—
1083	C₄⋊C₄	—	4	4	no	—
1084	C₄⋊C₄	—	4	2	no	—
1085	C₄⋊C₄	—	4	4	no	—
1086	C₄⋊C₄	—	4	2	no	—
1087	C₄⋊C₄	—	4	4	no	—
1088	C₄⋊C₄	—	4	2	no	—
1089	C₄⋊C₄	—	4	2	no	—
1090	C₄⋊C₄	—	4	4	no	—
1091	C₄⋊C₄	—	4	2	no	—
1092	C₄⋊C₄	—	4	4	no	—
1093	C₄⋊C₄	—	4	4	no	—
1094	C₄⋊C₄	—	4	4	no	—
1095	C₄⋊C₄	—	4	4	no	—
1096	C₄⋊C₄	—	4	2	no	—
1097	C₄⋊C₄	—	4	4	no	—
1098	C₄⋊C₄	—	4	4	no	—
1099	C₄⋊C₄	—	4	4	no	—
1100	C₄⋊C₄	—	4	4	no	—
1101	C₄⋊C₄	—	4	4	no	—
1102	C₄⋊C₄	—	4	4	no	—
1103	C₂²⋊C₄	—	2	2	no	—
1104	C₂²⋊C₄	—	2	4	no	—
1105	C₂²⋊C₄	—	2	2	no	—
1106	C₂²⋊C₄	—	2	4	no	—
1107	C₂²⋊C₄	—	2	4	no	—
1108	C₂²⋊C₄	—	2	8	no	—
1109	C₂²⋊C₄	—	2	8	no	—
1110	C₂²⋊C₄	—	2	8	no	—
1111	C₂²⋊C₄	—	2	8	no	—
1112	C₂²⋊C₄	—	2	8	no	—
1113	C₂²⋊C₄	—	2	8	no	—
1114	C₂²⋊C₄	—	2	8	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	—	4	4	no	—
1122	C₂²⋊C₄	—	4	4	no	—
1123	C₂²⋊C₄	—	4	1	no	—
1124	C₂²⋊C₄	—	4	2	no	—
1125	C₂²⋊C₄	—	4	1	no	—
1126	C₂²⋊C₄	—	4	2	no	—
1127	C₂²⋊C₄	—	4	2	no	—
1128	C₂²⋊C₄	—	4	4	no	—
1129	C₂²⋊C₄	—	4	4	no	—
1130	C₂²⋊C₄	—	4	4	no	—
1131	C₂²⋊C₄	—	4	4	no	—
1132	C₂²⋊C₄	—	4	4	no	—
1133	C₂²⋊C₄	—	4	4	no	—
1134	C₂²⋊C₄	—	4	4	no	—
1135	C₂²⋊C₄	—	4	4	no	—
1136	C₂²⋊C₄	—	4	4	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	4	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	4	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	C₄²	—	4	4	no	—
1170	C₄²	—	4	2	no	—
1171	C₄²	—	4	2	no	—
1172	C₄²	—	4	2	no	—
1173	C₄²	—	4	2	no	—
1174	C₄²	—	4	2	no	—
1175	C₄²	—	4	2	no	—
1176	C₄²	—	4	4	no	—
1177	C₄²	—	4	4	no	—
1178	C₄²	—	4	4	no	—
1179	C₄²	—	4	4	no	—
1180	C₄²	—	4	4	no	—
1181	C₄²	—	4	4	no	—
1182	C₄²	—	4	4	no	—
1183	C₂³	—	2	2	no	—
1184	C₂³	—	2	2	no	—
1185	C₂³	—	2	2	no	—
1186	C₂³	—	2	1	no	—
1187	C₂³	—	2	1	no	—
1188	C₂³	—	2	1	no	—
1189	C₂³	—	2	1	no	—
1190	C₂³	—	2	2	no	—
1191	C₂³	—	2	4	no	—
1192	C₂³	—	2	4	no	—
1193	C₂³	—	2	2	no	—
1194	C₂³	—	2	2	no	—
1195	C₂³	—	2	2	no	—
1196	C₂³	—	2	2	no	—
1197	C₂³	—	2	8	no	—
1198	C₂³	—	2	8	no	—
1199	C₂³	—	2	4	no	—
1200	C₂³	—	2	4	no	—
1201	C₂³	—	2	4	no	—
1202	C₂³	—	2	4	no	—
1203	C₂³	—	2	4	no	—
1204	C₂³	—	2	4	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	4	no	—
1213	C₂³	—	4	8	no	—
1214	C₂³	—	4	8	no	—
1215	C₂³	—	4	4	no	—
1216	C₂³	—	4	4	no	—
1217	C₂³	—	4	8	no	—
1218	C₂³	—	4	8	no	—
1219	C₂³	—	4	8	no	—
1220	C₂³	—	4	8	no	—
1221	C₂³	—	4	8	no	—
1222	C₂³	—	4	8	no	—
1223	C₂³	—	8	2	no	—
1224	C₂³	—	8	4	no	—
1225	C₂³	—	8	2	no	—
1226	C₂³	—	8	4	no	—
1227	C₂³	—	8	4	no	—
1228	C₂³	—	8	4	no	—
1229	C₂³	—	8	4	no	—
1230	C₂³	—	8	8	no	—
1231	C₂³	—	8	8	no	—
1232	C₂³	—	8	4	no	—
1233	C₂³	—	8	8	no	—
1234	C₂³	—	8	4	no	—
1235	C₂³	—	8	4	no	—
1236	C₂³	—	8	8	no	—
1237	C₂³	—	8	8	no	—
1238	C₂³	—	8	4	no	—
1239	C₂³	—	8	4	no	—
1240	C₂³	—	8	8	no	—
1241	C₂³	—	8	64	no	—
1242	C₂³	—	16	2	no	—
1243	C₂³	—	16	2	no	—
1244	C₂³	C₂²×#41	1	2	yes	—
1245	C₂³	C₂²×#41	1	2	yes	—
1246	C₂³	C₂²×#41	1	4	yes	—
1247	C₂³	C₂²×#41	1	2	yes	—
1248	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1249	C₂³	#585	1	2	yes	—
1250	C₂³	C₂⁶	1	1	yes	characteristic
1251	Q₈	—	8	4	no	—
1252	Q₈	—	16	2	no	—
1253	D₄	—	4	8	no	—
1254	D₄	—	4	8	no	—
1255	D₄	—	4	16	no	—
1256	D₄	—	8	4	no	—
1257	D₄	—	8	8	no	—
1258	D₄	—	8	8	no	—
1259	D₄	—	8	8	no	—
1260	D₄	—	8	8	no	—
1261	D₄	—	8	8	no	—
1262	D₄	—	16	4	no	—
1263	D₄	—	16	4	no	—
1264	D₄	—	16	4	no	—
1265	D₄	—	16	2	no	—
1266	D₄	—	16	4	no	—
1267	C₂×C₄	—	2	2	no	—
1268	C₂×C₄	—	2	2	no	—
1269	C₂×C₄	—	2	2	no	—
1270	C₂×C₄	—	2	2	no	—
1271	C₂×C₄	—	2	8	no	—
1272	C₂×C₄	—	2	4	no	—
1273	C₂×C₄	—	2	4	no	—
1274	C₂×C₄	—	2	2	no	—
1275	C₂×C₄	—	2	2	no	—
1276	C₂×C₄	—	2	4	no	—
1277	C₂×C₄	—	2	2	no	—
1278	C₂×C₄	—	2	4	no	—
1279	C₂×C₄	—	2	2	no	—
1280	C₂×C₄	—	2	4	no	—
1281	C₂×C₄	—	2	4	no	—
1282	C₂×C₄	—	2	4	no	—
1283	C₂×C₄	—	2	2	no	—
1284	C₂×C₄	—	2	4	no	—
1285	C₂×C₄	—	2	2	no	—
1286	C₂×C₄	—	2	4	no	—
1287	C₂×C₄	—	2	4	no	—
1288	C₂×C₄	—	2	2	no	—
1289	C₂×C₄	—	2	2	no	—
1290	C₂×C₄	—	2	2	no	—
1291	C₂×C₄	—	2	2	no	—
1292	C₂×C₄	—	2	4	no	—
1293	C₂×C₄	—	2	2	no	—
1294	C₂×C₄	—	2	2	no	—
1295	C₂×C₄	—	2	4	no	—
1296	C₂×C₄	—	2	4	no	—
1297	C₂×C₄	—	2	4	no	—
1298	C₂×C₄	—	2	4	no	—
1299	C₂×C₄	—	2	4	no	—
1300	C₂×C₄	—	2	4	no	—
1301	C₂×C₄	—	2	4	no	—
1302	C₂×C₄	—	2	4	no	—
1303	C₂×C₄	—	2	2	no	—
1304	C₂×C₄	—	2	4	no	—
1305	C₂×C₄	—	2	4	no	—
1306	C₂×C₄	—	2	4	no	—
1307	C₂×C₄	—	2	4	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	4	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	4	no	—
1312	C₂×C₄	—	2	4	no	—
1313	C₂×C₄	—	2	2	no	—
1314	C₂×C₄	—	2	2	no	—
1315	C₂×C₄	—	4	4	no	—
1316	C₂×C₄	—	4	4	no	—
1317	C₂×C₄	—	4	8	no	—
1318	C₂×C₄	—	8	4	no	—
1319	C₂×C₄	—	8	4	no	—
1320	C₂×C₄	—	8	8	no	—
1321	C₂×C₄	—	8	4	no	—
1322	C₂×C₄	—	8	2	no	—
1323	C₂×C₄	—	8	2	no	—
1324	C₂×C₄	—	8	4	no	—
1325	C₂×C₄	—	8	4	no	—
1326	C₂×C₄	—	8	8	no	—
1327	C₂×C₄	—	8	4	no	—
1328	C₂×C₄	—	8	4	no	—
1329	C₂×C₄	—	16	4	no	—
1330	C₂×C₄	—	16	4	no	—
1331	C₂×C₄	C₂²×#41	1	4	yes	—
1332	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1333	C₂²	—	2	4	no	—
1334	C₂²	—	2	2	no	—
1335	C₂²	—	2	4	no	—
1336	C₂²	—	2	2	no	—
1337	C₂²	—	2	4	no	—
1338	C₂²	—	2	2	no	—
1339	C₂²	—	2	2	no	—
1340	C₂²	—	2	8	no	—
1341	C₂²	—	2	4	no	—
1342	C₂²	—	2	4	no	—
1343	C₂²	—	4	16	no	—
1344	C₂²	—	4	1	no	—
1345	C₂²	—	4	1	no	—
1346	C₂²	—	4	2	no	—
1347	C₂²	—	4	2	no	—
1348	C₂²	—	4	2	no	—
1349	C₂²	—	4	4	no	—
1350	C₂²	—	4	1	no	—
1351	C₂²	—	4	1	no	—
1352	C₂²	—	4	2	no	—
1353	C₂²	—	4	4	no	—
1354	C₂²	—	4	4	no	—
1355	C₂²	—	4	4	no	—
1356	C₂²	—	4	4	no	—
1357	C₂²	—	4	4	no	—
1358	C₂²	—	4	4	no	—
1359	C₂²	—	4	4	no	—
1360	C₂²	—	4	4	no	—
1361	C₂²	—	4	4	no	—
1362	C₂²	—	4	4	no	—
1363	C₂²	—	4	4	no	—
1364	C₂²	—	4	4	no	—
1365	C₂²	—	4	4	no	—
1366	C₂²	—	4	4	no	—
1367	C₂²	—	8	8	no	—
1368	C₂²	—	8	16	no	—
1369	C₂²	—	8	16	no	—
1370	C₂²	—	8	16	no	—
1371	C₂²	—	16	8	no	—
1372	C₂²	#3505	1	4	yes	—
1373	C₂²	C₂³×#41	1	1	yes	characteristic
1374	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1375	C₂²	C₂×#585	1	1	yes	characteristic
1376	C₂²	H(7,𝔽₂)	1	2	yes	—
1377	C₂²	H(7,𝔽₂)	1	2	yes	—
1378	C₄	—	2	4	no	—
1379	C₄	—	2	4	no	—
1380	C₄	—	4	4	no	—
1381	C₄	—	4	2	no	—
1382	C₄	—	4	2	no	—
1383	C₄	—	4	4	no	—
1384	C₄	—	4	4	no	—
1385	C₄	—	4	2	no	—
1386	C₄	—	4	2	no	—
1387	C₄	—	4	4	no	—
1388	C₄	—	4	2	no	—
1389	C₄	—	4	2	no	—
1390	C₄	—	4	4	no	—
1391	C₄	—	4	4	no	—
1392	C₄	—	4	4	no	—
1393	C₄	—	4	2	no	—
1394	C₄	—	4	4	no	—
1395	C₂	—	2	4	no	—
1396	C₂	—	4	2	no	—
1397	C₂	—	4	2	no	—
1398	C₂	—	4	4	no	—
1399	C₂	—	8	4	no	—
1400	C₂	—	8	4	no	—
1401	C₂	C₂×#3505	1	1	yes	characteristic
1402	C₂	#62846	1	2	yes	—
1403	C₂	#62863	1	1	yes	characteristic
1404	C₂	#62867	1	2	yes	—
1405	C₂	#62876	1	1	yes	characteristic

	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. #50292	C₂	semidirect
2. #49773	C₂	semidirect
3. #49748	C₂	semidirect
4. #49747	C₂	semidirect
5. #46644	C₂	semidirect
6. #46642	C₂	semidirect
7. #46631	C₂	semidirect
8. #46628	C₂	semidirect
9. #39551	C₂	semidirect
10. #39540	C₂	semidirect
11. #39423	C₂	semidirect
12. #39412	C₂	semidirect
13. #38126	C₂	semidirect
14. #38108	C₂	semidirect
15. #37457	C₂	semidirect
16. #36725	C₂	semidirect
17. #36714	C₂	semidirect
18. #35174	C₂	semidirect
19. #35023	C₂	semidirect
20. #34988	C₂	semidirect
21. #34984	C₂	semidirect
22. #34407	C₂	semidirect
23. C₂×#2321	C₂	semidirect
24. C₂×#544	C₂²	semidirect
27. C₂×#534	C₂²	semidirect
30. C₂³×C₂²⋊C₄	C₂²	semidirect
31. #2854	C₂²	semidirect
32. #2851	C₂²	semidirect
33. #2850	C₂²	semidirect
34. #2848	C₂²	semidirect
35. #2848	C₂²	semidirect
37. #2846	C₂²	semidirect
38. #2834	C₂²	semidirect
39. #2827	C₂²	semidirect
40. #2824	C₂²	semidirect
41. #2803	C₂²	semidirect
42. #2803	C₂²	semidirect
43. #2801	C₂²	semidirect
44. #2801	C₂²	semidirect
45. #2800	C₂²	semidirect
46. #2800	C₂²	semidirect
47. #2797	C₂²	semidirect
48. #2783	C₂²	semidirect
49. #2779	C₂²	semidirect
50. #2778	C₂²	semidirect
51. #2778	C₂²	semidirect
52. #2777	C₂²	semidirect
53. #2761	C₂²	semidirect
54. #2757	C₂²	semidirect
55. #2756	C₂²	semidirect
56. #2753	C₂²	semidirect
57. #2751	C₂²	semidirect
58. #2749	C₂²	semidirect
59. #2736	C₂²	semidirect
60. #2735	C₂²	semidirect
61. #2735	C₂²	semidirect
62. #2731	C₂²	semidirect
63. #2730	C₂²	semidirect
64. #2725	C₂²	semidirect
65. #2716	C₂²	semidirect
66. #2711	C₂²	semidirect
67. #2707	C₂²	semidirect
68. #2707	C₂²	semidirect
69. #2706	C₂²	semidirect
70. #2705	C₂²	semidirect
71. #2701	C₂²	semidirect
72. #2697	C₂²	semidirect
73. #2697	C₂²	semidirect
74. #2697	C₂²	semidirect
75. #2697	C₂²	semidirect
76. #2696	C₂²	semidirect
77. #2694	C₂²	semidirect
78. #2685	C₂²	semidirect
79. #2685	C₂²	semidirect
80. #2684	C₂²	semidirect
81. #2679	C₂²	semidirect
82. #2679	C₂²	semidirect
83. #2679	C₂²	semidirect
88. #2678	C₂²	semidirect
89. #2678	C₂²	semidirect
90. #2670	C₂²	semidirect
91. #2670	C₂²	semidirect
92. #2668	C₂²	semidirect
93. #2653	C₂²	semidirect
94. #2652	C₂²	semidirect
95. #2643	C₂²	semidirect
96. #2633	C₂²	semidirect
97. #2630	C₂²	semidirect
98. #2626	C₂²	semidirect
99. #2626	C₂²	semidirect
100. #2626	C₂²	semidirect
101. #2622	C₂²	semidirect
102. #2622	C₂²	semidirect
103. #2618	C₂²	semidirect
106. #2602	C₂²	semidirect
107. #2601	C₂²	semidirect
108. #2597	C₂²	semidirect
109. #2597	C₂²	semidirect
110. #2595	C₂²	semidirect
111. #2594	C₂²	semidirect
112. #2594	C₂²	semidirect
113. #2593	C₂²	semidirect
114. #2578	C₂²	semidirect
115. #2576	C₂²	semidirect
116. #2558	C₂²	semidirect
117. #2558	C₂²	semidirect
118. #2558	C₂²	semidirect
119. #2557	C₂²	semidirect
120. #2554	C₂²	semidirect
121. #2554	C₂²	semidirect
122. #2545	C₂²	semidirect
123. #2539	C₂²	semidirect
124. #2525	C₂²	semidirect
125. #2523	C₂²	semidirect
126. #2519	C₂²	semidirect
127. #2518	C₂²	semidirect
128. #2516	C₂²	semidirect
129. #2513	C₂²	semidirect
130. #2510	C₂²	semidirect
131. #2510	C₂²	semidirect
132. #2510	C₂²	semidirect
133. #2498	C₂²	semidirect
134. #2495	C₂²	semidirect
135. #2494	C₂²	semidirect
136. #2491	C₂²	semidirect
137. #2490	C₂²	semidirect
138. #2490	C₂²	semidirect
139. #2489	C₂²	semidirect
140. #2488	C₂²	semidirect
141. #2480	C₂²	semidirect
142. #2480	C₂²	semidirect
143. #2480	C₂²	semidirect
144. #2479	C₂²	semidirect
145. #2473	C₂²	semidirect
146. #2472	C₂²	semidirect
147. #2472	C₂²	semidirect
148. #2472	C₂²	semidirect
149. #2472	C₂²	semidirect
150. #2460	C₂²	semidirect
151. #2458	C₂²	semidirect
152. #2455	C₂²	semidirect
153. #2454	C₂²	semidirect
154. #2454	C₂²	semidirect
155. #2452	C₂²	semidirect
156. #2452	C₂²	semidirect
157. #2450	C₂²	semidirect
158. #2443	C₂²	semidirect
159. #2427	C₂²	semidirect
160. #2426	C₂²	semidirect
161. #2425	C₂²	semidirect
162. #2425	C₂²	semidirect
164. #2424	C₂²	semidirect
165. #2424	C₂²	semidirect
166. #2424	C₂²	semidirect
167. #2424	C₂²	semidirect
168. #2424	C₂²	semidirect
169. #2421	C₂²	semidirect
170. #2420	C₂²	semidirect
171. #2418	C₂²	semidirect
172. #2418	C₂²	semidirect
173. #2418	C₂²	semidirect
174. #2412	C₂²	semidirect
175. #2412	C₂²	semidirect
176. #2411	C₂²	semidirect
177. #2411	C₂²	semidirect
178. #2411	C₂²	semidirect
181. #2377	C₂²	semidirect
182. #2376	C₂²	semidirect
183. #2375	C₂²	semidirect
184. #2374	C₂²	semidirect
185. #2363	C₂²	semidirect
186. #2359	C₂²	semidirect
187. #2359	C₂²	semidirect
188. #2358	C₂²	semidirect
189. #2342	C₂²	semidirect
190. D₄×C₂²⋊C₄	C₂²	semidirect
191. #2335	C₂²	semidirect
192. #2333	C₂²	semidirect
193. #2324	C₂²	semidirect
194. #2321	C₂²	semidirect
195. #2321	C₂²	semidirect
196. #2321	C₂²	semidirect
197. #2321	C₂²	semidirect
198. #2321	C₂²	semidirect
199. #2321	C₂²	semidirect
200. #2321	C₂²	semidirect
201. #2318	C₂²	semidirect
202. #2316	C₂²	semidirect
203. #2315	C₂²	semidirect
204. #2312	C₂²	semidirect
206. C₄×C₂²⋊Q₈	C₂²	semidirect
207. C₄×#121	C₂²	semidirect
208. C₄×#120	C₂²	semidirect
209. #2296	C₂²	semidirect
211. C₂×#388	C₂²	semidirect
212. C₂×#388	C₂²	semidirect
215. C₂×#386	C₂²	semidirect
216. C₂×#385	C₂²	semidirect
217. C₂×#379	C₂²	semidirect
218. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
230. C₂×C₄⋊Q₈	C₂³	semidirect
233. C₂×#125	C₂³	semidirect
234. C₂×#125	C₂³	semidirect
235. C₂×#125	C₂³	semidirect
238. C₂×#124	C₂³	semidirect
246. C₂×#123	C₂³	semidirect
247. C₂×#123	C₂³	semidirect
252. C₂×C₂²⋊Q₈	C₂³	semidirect
276. C₂×#120	C₂³	semidirect
277. C₂×C₄×Q₈	C₂³	semidirect
285. C₂×C₄×D₄	C₂³	semidirect
288. C₂×#117	C₂³	semidirect
305. C₂²×C₂²⋊C₄	C₂³	semidirect
306. C₂²×C₂²⋊C₄	C₂³	semidirect
309. #401	C₂³	semidirect
310. #401	C₂³	semidirect
311. #400	C₂³	semidirect
312. #400	C₂³	semidirect
313. #400	C₂³	semidirect
314. #400	C₂³	semidirect
315. #400	C₂³	semidirect
316. #400	C₂³	semidirect
321. #399	C₂³	semidirect
322. #399	C₂³	semidirect
323. #398	C₂³	semidirect
324. #398	C₂³	semidirect
325. #398	C₂³	semidirect
326. #398	C₂³	semidirect
327. #398	C₂³	semidirect
328. #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
361. #396	C₂³	semidirect
362. #396	C₂³	semidirect
363. #396	C₂³	semidirect
364. #396	C₂³	semidirect
365. #396	C₂³	semidirect
366. #396	C₂³	semidirect
393. #394	C₂³	semidirect
394. #394	C₂³	semidirect
399. #393	C₂³	semidirect
400. #393	C₂³	semidirect
409. #391	C₂³	semidirect
410. #391	C₂³	semidirect
411. #391	C₂³	semidirect
432. #390	C₂³	semidirect
433. #390	C₂³	semidirect
434. #390	C₂³	semidirect
435. #390	C₂³	semidirect
436. #390	C₂³	semidirect
437. #389	C₂³	semidirect
438. #389	C₂³	semidirect
439. #389	C₂³	semidirect
440. #389	C₂³	semidirect
441. #389	C₂³	semidirect
442. #389	C₂³	semidirect
443. #389	C₂³	semidirect
444. #389	C₂³	semidirect
445. #389	C₂³	semidirect
446. #389	C₂³	semidirect
447. #389	C₂³	semidirect
448. #389	C₂³	semidirect
481. #388	C₂³	semidirect
482. #388	C₂³	semidirect
483. #388	C₂³	semidirect
484. #388	C₂³	semidirect
485. #388	C₂³	semidirect
486. #388	C₂³	semidirect
487. #388	C₂³	semidirect
488. #388	C₂³	semidirect
489. #388	C₂³	semidirect
490. #388	C₂³	semidirect
491. #388	C₂³	semidirect
492. #388	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. #387	C₂³	semidirect
500. #387	C₂³	semidirect
501. #387	C₂³	semidirect
502. #387	C₂³	semidirect
503. #387	C₂³	semidirect
504. #387	C₂³	semidirect
505. #387	C₂³	semidirect
506. #387	C₂³	semidirect
507. #387	C₂³	semidirect
508. #387	C₂³	semidirect
509. #387	C₂³	semidirect
510. #387	C₂³	semidirect
511. #387	C₂³	semidirect
512. #387	C₂³	semidirect
540. #386	C₂³	semidirect
541. #386	C₂³	semidirect
542. #386	C₂³	semidirect
543. #386	C₂³	semidirect
557. #385	C₂³	semidirect
558. #385	C₂³	semidirect
559. #385	C₂³	semidirect
560. #385	C₂³	semidirect
561. #385	C₂³	semidirect
562. #385	C₂³	semidirect
563. #385	C₂³	semidirect
564. #385	C₂³	semidirect
565. #383	C₂³	semidirect
566. #383	C₂³	semidirect
567. #382	C₂³	semidirect
568. #382	C₂³	semidirect
569. #382	C₂³	semidirect
570. #381	C₂³	semidirect
571. #381	C₂³	semidirect
580. #380	C₂³	semidirect
581. #380	C₂³	semidirect
582. #380	C₂³	semidirect
583. #380	C₂³	semidirect
584. #380	C₂³	semidirect
596. #379	C₂³	semidirect
597. C₄×C₄⋊C₄	C₂³	semidirect
598. C₄×C₄⋊C₄	C₂³	semidirect
599. C₄×C₄⋊C₄	C₂³	semidirect
600. C₄×C₄⋊C₄	C₂³	semidirect
601. C₄×C₄⋊C₄	C₂³	semidirect
602. C₄×C₄⋊C₄	C₂³	semidirect
603. C₄×C₄⋊C₄	C₂³	semidirect
612. C₄×C₂²⋊C₄	C₂³	semidirect
613. C₄×C₂²⋊C₄	C₂³	semidirect
614. C₄×C₂²⋊C₄	C₂³	semidirect
615. C₄×C₂²⋊C₄	C₂³	semidirect
616. C₄×C₂²⋊C₄	C₂³	semidirect
620. 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
#50292	2
#49773	2
#49748	2
#49747	2
#46644	2
#46642	2
#46631	2
#46628	2
#39551	2
#39540	2
#39423	2
#39412	2
#38126	2
#38108	2
#37457	2
#36725	2
#36714	2
#35174	2
#35023	2
#34988	2
#34984	2
#34407	2
C₂×#2321	2