Subgroups — #7744992

Order 512.

6644 conjugacy classes of subgroups.

The subgroup lattice has 1486 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#43960	C₂	1	2	yes	maximal, complemented
2	#43959	C₂	1	2	yes	maximal, complemented
3	#43933	C₂	1	4	yes	maximal, complemented
4	#43905	C₂	1	4	yes	maximal, complemented
5	#43178	C₂	1	4	yes	maximal, complemented
6	#43177	C₂	1	4	yes	maximal, complemented
7	#43084	C₂	1	2	yes	maximal, complemented
8	#43083	C₂	1	2	yes	maximal, complemented
9	#41963	C₂	1	4	yes	maximal, complemented
10	#40644	C₂	1	4	yes	maximal, complemented
11	#40546	C₂	1	2	yes	maximal, complemented
12	#40544	C₂	1	2	yes	maximal, complemented
13	#36158	C₂	1	4	yes	maximal, complemented
14	#36158	C₂	1	4	yes	maximal, complemented
15	#35904	C₂	1	4	yes	maximal, complemented
16	#35751	C₂	1	4	yes	maximal, complemented
17	#35732	C₂	1	2	yes	maximal, complemented
18	#35731	C₂	1	2	yes	maximal, complemented
19	#35222	C₂	1	1	yes	maximal, characteristic
20	#35057	C₂	1	1	yes	maximal, characteristic, complemented
21	#35052	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×#394	C₂	1	1	yes	maximal, characteristic, complemented
23	#34218	C₂	1	1	yes	maximal, characteristic, complemented
24	#34178	C₂	1	1	yes	maximal, characteristic, complemented
25	#34171	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂⁴×D₄	C₂²	1	1	yes	characteristic
27	C₂×#551	C₂²	1	4	yes	complemented
28	C₂×#551	C₂²	1	4	yes	complemented
29	C₂×#535	C₂²	1	2	yes	—
30	C₂×#525	C₂²	1	1	yes	characteristic
31	C₂×#518	C₂²	1	2	yes	—
32	C₂³×C₄⋊C₄	C₂²	1	1	yes	characteristic
33	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
34	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
35	#2849	C₂²	1	2	yes	—
36	#2849	C₂²	1	2	yes	—
37	#2848	C₂²	1	4	yes	—
38	#2846	C₂²	1	4	yes	—
39	#2830	C₂²	1	4	yes	complemented
40	#2829	C₂²	1	4	yes	complemented
41	#2808	C₂²	1	4	yes	complemented
42	#2803	C₂²	1	4	yes	complemented
43	#2803	C₂²	1	4	yes	complemented
44	#2800	C₂²	1	4	yes	complemented
45	#2800	C₂²	1	4	yes	complemented
46	#2797	C₂²	1	4	yes	complemented
47	#2796	C₂²	1	4	yes	complemented
48	#2786	C₂²	1	4	yes	complemented
49	#2761	C₂²	1	4	yes	complemented
50	#2757	C₂²	1	4	yes	complemented
51	#2751	C₂²	1	4	yes	complemented
52	#2740	C₂²	1	4	yes	complemented
53	#2737	C₂²	1	4	yes	complemented
54	#2727	C₂²	1	4	yes	complemented
55	#2723	C₂²	1	4	yes	complemented
56	#2715	C₂²	1	4	yes	complemented
57	#2710	C₂²	1	4	yes	complemented
58	#2709	C₂²	1	4	yes	complemented
59	#2709	C₂²	1	4	yes	complemented
60	#2701	C₂²	1	4	yes	complemented
61	#2700	C₂²	1	4	yes	complemented
62	#2691	C₂²	1	4	yes	complemented
63	#2686	C₂²	1	4	yes	complemented
64	#2672	C₂²	1	4	yes	complemented
65	#2662	C₂²	1	4	yes	complemented
66	#2659	C₂²	1	2	yes	complemented
67	#2651	C₂²	1	4	yes	complemented
68	#2651	C₂²	1	4	yes	complemented
69	#2648	C₂²	1	4	yes	complemented
70	#2646	C₂²	1	2	yes	complemented
71	#2638	C₂²	1	4	yes	complemented
72	#2630	C₂²	1	4	yes	complemented
73	#2627	C₂²	1	1	yes	characteristic, complemented
74	#2627	C₂²	1	1	yes	characteristic, complemented
75	#2618	C₂²	1	1	yes	characteristic, complemented
76	#2618	C₂²	1	1	yes	characteristic, complemented
77	#2613	C₂²	1	2	yes	—
78	#2613	C₂²	1	2	yes	—
79	#2602	C₂²	1	4	yes	complemented
80	#2601	C₂²	1	4	yes	complemented
81	#2600	C₂²	1	4	yes	complemented
82	#2597	C₂²	1	4	yes	complemented
83	#2595	C₂²	1	4	yes	complemented
84	#2593	C₂²	1	4	yes	complemented
85	#2591	C₂²	1	2	yes	complemented
86	#2583	C₂²	1	2	yes	complemented
87	#2579	C₂²	1	4	yes	complemented
88	#2569	C₂²	1	2	yes	complemented
89	#2569	C₂²	1	2	yes	complemented
90	#2561	C₂²	1	4	yes	complemented
91	#2561	C₂²	1	4	yes	complemented
92	#2560	C₂²	1	4	yes	complemented
93	#2559	C₂²	1	4	yes	complemented
94	#2554	C₂²	1	4	yes	complemented
95	#2549	C₂²	1	2	yes	complemented
96	#2549	C₂²	1	2	yes	complemented
97	#2544	C₂²	1	4	yes	complemented
98	#2534	C₂²	1	4	yes	complemented
99	#2534	C₂²	1	4	yes	complemented
100	#2531	C₂²	1	4	yes	complemented
101	#2526	C₂²	1	4	yes	complemented
102	#2521	C₂²	1	4	yes	complemented
103	#2516	C₂²	1	4	yes	complemented
104	#2485	C₂²	1	4	yes	complemented
105	#2484	C₂²	1	2	yes	complemented
106	#2483	C₂²	1	4	yes	complemented
107	#2483	C₂²	1	4	yes	complemented
108	#2482	C₂²	1	4	yes	complemented
109	#2482	C₂²	1	4	yes	complemented
110	#2480	C₂²	1	4	yes	complemented
111	#2480	C₂²	1	4	yes	complemented
112	#2480	C₂²	1	4	yes	complemented
113	#2480	C₂²	1	4	yes	complemented
114	#2480	C₂²	1	4	yes	complemented
115	#2480	C₂²	1	4	yes	complemented
116	#2480	C₂²	1	4	yes	complemented
117	#2480	C₂²	1	4	yes	complemented
118	#2479	C₂²	1	4	yes	complemented
119	#2476	C₂²	1	4	yes	complemented
120	#2474	C₂²	1	4	yes	complemented
121	#2472	C₂²	1	4	yes	complemented
122	#2472	C₂²	1	4	yes	complemented
123	#2472	C₂²	1	4	yes	complemented
124	#2472	C₂²	1	4	yes	complemented
125	#2468	C₂²	1	4	yes	complemented
126	#2468	C₂²	1	4	yes	complemented
127	#2466	C₂²	1	4	yes	complemented
128	#2466	C₂²	1	4	yes	complemented
129	#2461	C₂²	1	4	yes	complemented
130	#2459	C₂²	1	4	yes	complemented
131	#2457	C₂²	1	4	yes	complemented
132	#2455	C₂²	1	4	yes	complemented
133	#2445	C₂²	1	4	yes	complemented
134	#2444	C₂²	1	4	yes	complemented
135	#2438	C₂²	1	4	yes	complemented
136	#2438	C₂²	1	4	yes	complemented
137	#2437	C₂²	1	4	yes	complemented
138	#2437	C₂²	1	4	yes	complemented
139	#2437	C₂²	1	4	yes	complemented
140	#2437	C₂²	1	4	yes	complemented
141	#2435	C₂²	1	2	yes	—
142	#2435	C₂²	1	2	yes	—
143	#2433	C₂²	1	2	yes	—
144	#2433	C₂²	1	2	yes	—
145	#2425	C₂²	1	4	yes	complemented
146	#2418	C₂²	1	4	yes	complemented
147	#2418	C₂²	1	4	yes	complemented
148	#2418	C₂²	1	4	yes	complemented
149	#2418	C₂²	1	4	yes	complemented
150	#2415	C₂²	1	4	yes	complemented
151	#2413	C₂²	1	4	yes	complemented
152	#2412	C₂²	1	4	yes	complemented
153	#2412	C₂²	1	4	yes	complemented
154	#2412	C₂²	1	4	yes	complemented
155	#2412	C₂²	1	4	yes	complemented
156	#2412	C₂²	1	4	yes	complemented
157	#2412	C₂²	1	4	yes	complemented
158	#2411	C₂²	1	4	yes	complemented
159	#2411	C₂²	1	4	yes	complemented
160	#2408	C₂²	1	4	yes	—
161	#2408	C₂²	1	2	yes	—
162	#2408	C₂²	1	2	yes	—
163	#2406	C₂²	1	2	yes	complemented
164	#2395	C₂²	1	4	yes	complemented
165	#2392	C₂²	1	4	yes	complemented
166	C₂×#394	C₂²	1	2	yes	—
167	C₂×#394	C₂²	1	2	yes	—
168	C₂×#394	C₂²	1	2	yes	—
169	C₂×#394	C₂²	1	4	yes	—
170	C₂×#394	C₂²	1	2	yes	—
171	C₂×#394	C₂²	1	2	yes	—
172	C₂×#394	C₂²	1	4	yes	—
173	C₂×#394	C₂²	1	2	yes	—
174	C₂×#394	C₂²	1	2	yes	—
175	C₂×#394	C₂²	1	2	yes	—
176	#2368	C₂²	1	2	yes	complemented
177	#2364	C₂²	1	2	yes	complemented
178	#2359	C₂²	1	4	yes	complemented
179	#2358	C₂²	1	4	yes	complemented
180	#2358	C₂²	1	4	yes	complemented
181	#2358	C₂²	1	4	yes	complemented
182	#2358	C₂²	1	4	yes	complemented
183	#2353	C₂²	1	2	yes	complemented
184	#2349	C₂²	1	2	yes	complemented
185	#2345	C₂²	1	4	yes	complemented
186	#2345	C₂²	1	4	yes	complemented
187	#2344	C₂²	1	4	yes	complemented
188	#2344	C₂²	1	4	yes	complemented
189	#2343	C₂²	1	2	yes	complemented
190	#2342	C₂²	1	4	yes	complemented
191	#2342	C₂²	1	4	yes	complemented
192	#2342	C₂²	1	4	yes	complemented
193	#2342	C₂²	1	4	yes	complemented
194	#2342	C₂²	1	4	yes	complemented
195	#2342	C₂²	1	4	yes	complemented
196	#2339	C₂²	1	2	yes	complemented
197	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
198	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
199	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
200	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
201	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
202	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
203	#2329	C₂²	1	2	yes	complemented
204	#2329	C₂²	1	4	yes	complemented
205	#2325	C₂²	1	2	yes	complemented
206	#2322	C₂²	1	2	yes	complemented
207	#2322	C₂²	1	2	yes	complemented
208	#2318	C₂²	1	2	yes	complemented
209	#2316	C₂²	1	1	yes	characteristic, complemented
210	#2316	C₂²	1	1	yes	characteristic, complemented
211	#2313	C₂²	1	1	yes	characteristic, complemented
212	#2313	C₂²	1	1	yes	characteristic, complemented
213	#2313	C₂²	1	2	yes	complemented
214	#2309	C₂²	1	2	yes	—
215	#2309	C₂²	1	2	yes	—
216	#2308	C₂²	1	4	yes	—
217	C₄×#120	C₂²	1	4	yes	—
218	#2280	C₂²	1	2	yes	—
219	#2280	C₂²	1	2	yes	—
220	#2280	C₂²	1	1	yes	characteristic
221	#2280	C₂²	1	1	yes	characteristic
222	#2280	C₂²	1	1	yes	characteristic
223	C₂×#379	C₂²	1	4	yes	—
224	#2275	C₂²	1	2	yes	complemented
225	#2274	C₂²	1	2	yes	complemented
226	C₂²×#95	C₂²	1	1	yes	characteristic
227	C₂⁶	C₂³	1	2	yes	—
228	C₂²×#41	C₂³	1	1	yes	characteristic
229	C₂³×D₄	—	2	8	no	—
230	C₂³×D₄	—	4	8	no	—
231	C₂³×D₄	C₂³	1	1	yes	characteristic
232	C₂³×D₄	C₂³	1	2	yes	—
233	C₂³×D₄	C₂³	1	1	yes	characteristic
234	C₂³×D₄	C₂³	1	2	yes	—
235	C₂³×D₄	C₂³	1	2	yes	—
236	C₂³×D₄	C₂³	1	2	yes	—
237	C₂³×D₄	C₂³	1	2	yes	—
238	C₂⁴×C₄	C₂³	1	1	yes	characteristic
239	C₂⁴×C₄	C₂³	1	1	yes	characteristic
240	C₂⁴×C₄	C₂³	1	2	yes	—
241	C₂⁴×C₄	C₂³	1	1	yes	characteristic
242	#551	—	4	16	no	—
243	#551	—	4	16	no	—
244	#535	—	4	8	no	—
245	C₂×#127	C₂³	1	4	yes	—
246	C₂×#126	C₂³	1	4	yes	complemented
247	C₂×#126	C₂³	1	4	yes	complemented
248	C₂×#126	C₂³	1	4	yes	complemented
249	C₂×#126	C₂³	1	4	yes	complemented
250	C₂×#124	C₂³	1	4	yes	—
251	C₂×#124	C₂³	1	4	yes	complemented
252	C₂×#124	C₂³	1	4	yes	complemented
253	#525	—	2	8	no	—
254	C₂×#123	C₂³	1	2	yes	—
255	C₂×#123	C₂³	1	2	yes	—
256	C₂×#123	C₂³	1	2	yes	—
257	C₂×#123	C₂³	1	4	yes	—
258	C₂×#123	C₂³	1	4	yes	complemented
259	C₂×#123	C₂³	1	4	yes	complemented
260	C₂×#123	C₂³	1	4	yes	complemented
261	C₂×#123	C₂³	1	4	yes	complemented
262	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
265	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
266	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
267	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
268	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
269	C₂×#121	C₂³	1	1	yes	characteristic
270	C₂×#121	C₂³	1	1	yes	characteristic
271	C₂×#121	C₂³	1	4	yes	—
272	C₂×#121	C₂³	1	4	yes	—
273	C₂×#120	C₂³	1	2	yes	—
274	C₂×#120	C₂³	1	4	yes	—
275	C₂×#120	C₂³	1	4	yes	—
276	C₂×#120	C₂³	1	4	yes	—
277	C₂×#120	C₂³	1	4	yes	—
278	C₂×#120	C₂³	1	4	yes	—
279	C₂×#120	C₂³	1	4	yes	—
280	#518	—	4	8	no	—
281	C₂×C₄×D₄	C₂³	1	2	yes	—
282	C₂×C₄×D₄	C₂³	1	2	yes	—
283	C₂×C₄×D₄	C₂³	1	4	yes	—
284	C₂×C₄×D₄	C₂³	1	4	yes	—
285	C₂×C₄×D₄	C₂³	1	4	yes	—
286	C₂×C₄×D₄	C₂³	1	4	yes	—
287	C₂×C₄×D₄	C₂³	1	4	yes	—
288	C₂×C₄×D₄	C₂³	1	4	yes	—
289	C₂×C₄×D₄	C₂³	1	4	yes	—
290	C₂×C₄×D₄	C₂³	1	4	yes	complemented
291	C₂×C₄×D₄	C₂³	1	4	yes	complemented
292	C₂×#117	C₂³	1	1	yes	characteristic
293	C₂×#117	C₂³	1	2	yes	—
294	C₂×#117	C₂³	1	2	yes	—
295	C₂×#117	C₂³	1	2	yes	—
296	C₂×#117	C₂³	1	2	yes	—
297	C₂×#117	C₂³	1	2	yes	—
298	C₂×#117	C₂³	1	4	yes	—
299	C₂×#117	C₂³	1	4	yes	complemented
300	C₂×#117	C₂³	1	4	yes	complemented
301	C₂²×C₄⋊C₄	—	2	8	no	—
302	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
305	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
306	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
307	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
308	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
309	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
310	C₂²×C₂²⋊C₄	—	4	8	no	—
311	C₂²×C₂²⋊C₄	—	4	8	no	—
312	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
313	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
314	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
315	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
316	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
317	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
318	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
319	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
320	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
321	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
322	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
323	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
324	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
325	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
326	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
327	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
328	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
329	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
330	#400	C₂³	1	4	yes	complemented
331	#400	C₂³	1	4	yes	complemented
332	#400	C₂³	1	2	yes	complemented
333	#400	C₂³	1	2	yes	complemented
334	#399	C₂³	1	4	yes	complemented
335	#399	C₂³	1	4	yes	complemented
336	#399	C₂³	1	4	yes	complemented
337	#399	C₂³	1	4	yes	complemented
338	#398	C₂³	1	2	yes	complemented
339	#398	C₂³	1	4	yes	complemented
340	#398	C₂³	1	4	yes	complemented
341	#398	C₂³	1	4	yes	complemented
342	#398	C₂³	1	4	yes	complemented
343	#398	C₂³	1	2	yes	complemented
344	#398	C₂³	1	4	yes	complemented
345	#398	C₂³	1	4	yes	complemented
346	#397	C₂³	1	4	yes	complemented
347	#397	C₂³	1	4	yes	complemented
348	#397	C₂³	1	4	yes	complemented
349	#397	C₂³	1	4	yes	complemented
350	#397	C₂³	1	4	yes	complemented
351	#397	C₂³	1	4	yes	complemented
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	#396	C₂³	1	4	yes	complemented
367	#396	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	#396	C₂³	1	4	yes	complemented
375	#396	C₂³	1	4	yes	complemented
376	#395	C₂³	1	4	yes	complemented
377	#395	C₂³	1	2	yes	complemented
378	#395	C₂³	1	2	yes	complemented
379	#395	C₂³	1	4	yes	complemented
380	#394	C₂³	1	4	yes	—
381	#394	C₂³	1	2	yes	—
382	#394	C₂³	1	4	yes	—
383	#394	C₂³	1	2	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	2	yes	—
390	#394	C₂³	1	2	yes	—
391	#394	C₂³	1	2	yes	—
392	#394	C₂³	1	2	yes	—
393	#394	C₂³	1	2	yes	—
394	#394	C₂³	1	2	yes	—
395	#394	C₂³	1	2	yes	—
396	#394	C₂³	1	2	yes	—
397	#394	C₂³	1	4	yes	—
398	#394	C₂³	1	4	yes	—
399	#394	C₂³	1	4	yes	—
400	#394	C₂³	1	4	yes	—
401	#394	C₂³	1	4	yes	—
402	#394	C₂³	1	4	yes	—
403	#394	C₂³	1	2	yes	—
404	#394	C₂³	1	2	yes	—
405	#394	C₂³	1	4	yes	—
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	2	yes	complemented
411	#394	C₂³	1	2	yes	complemented
412	#394	C₂³	1	4	yes	complemented
413	#394	C₂³	1	4	yes	complemented
414	#394	C₂³	1	4	yes	complemented
415	#394	C₂³	1	4	yes	complemented
416	#394	C₂³	1	4	yes	complemented
417	#394	C₂³	1	4	yes	complemented
418	#394	C₂³	1	4	yes	complemented
419	#394	C₂³	1	4	yes	complemented
420	#393	C₂³	1	4	yes	complemented
421	#393	C₂³	1	4	yes	complemented
422	#393	C₂³	1	4	yes	complemented
423	#393	C₂³	1	4	yes	complemented
424	#392	C₂³	1	4	yes	—
425	#392	C₂³	1	2	yes	—
426	#392	C₂³	1	4	yes	—
427	#392	C₂³	1	2	yes	—
428	#392	C₂³	1	2	yes	—
429	#392	C₂³	1	2	yes	—
430	#391	C₂³	1	4	yes	complemented
431	#391	C₂³	1	4	yes	complemented
432	#391	C₂³	1	4	yes	complemented
433	#390	C₂³	1	4	yes	—
434	#390	C₂³	1	4	yes	—
435	#390	C₂³	1	4	yes	—
436	#390	C₂³	1	4	yes	—
437	#390	C₂³	1	4	yes	—
438	#390	C₂³	1	4	yes	—
439	#390	C₂³	1	4	yes	—
440	#390	C₂³	1	4	yes	—
441	#390	C₂³	1	4	yes	complemented
442	#390	C₂³	1	4	yes	complemented
443	#390	C₂³	1	4	yes	complemented
444	#390	C₂³	1	4	yes	complemented
445	#389	C₂³	1	4	yes	complemented
446	#389	C₂³	1	4	yes	complemented
447	#389	C₂³	1	4	yes	complemented
448	#389	C₂³	1	4	yes	complemented
449	#389	C₂³	1	4	yes	complemented
450	#389	C₂³	1	4	yes	complemented
451	#389	C₂³	1	4	yes	complemented
452	#389	C₂³	1	4	yes	complemented
453	#389	C₂³	1	4	yes	complemented
454	#388	C₂³	1	4	yes	complemented
455	#388	C₂³	1	4	yes	complemented
456	#388	C₂³	1	4	yes	complemented
457	#388	C₂³	1	4	yes	complemented
458	#388	C₂³	1	4	yes	complemented
459	#388	C₂³	1	4	yes	complemented
460	#388	C₂³	1	4	yes	complemented
461	#388	C₂³	1	4	yes	complemented
462	#388	C₂³	1	4	yes	complemented
463	#388	C₂³	1	4	yes	complemented
464	#388	C₂³	1	4	yes	complemented
465	#388	C₂³	1	4	yes	complemented
466	#388	C₂³	1	4	yes	complemented
467	#388	C₂³	1	4	yes	complemented
468	#388	C₂³	1	4	yes	complemented
469	#388	C₂³	1	4	yes	complemented
470	#388	C₂³	1	4	yes	complemented
471	#388	C₂³	1	4	yes	complemented
472	#388	C₂³	1	4	yes	complemented
473	#388	C₂³	1	4	yes	complemented
474	#388	C₂³	1	4	yes	complemented
475	#388	C₂³	1	4	yes	complemented
476	#388	C₂³	1	4	yes	complemented
477	#388	C₂³	1	4	yes	complemented
478	#388	C₂³	1	4	yes	complemented
479	#388	C₂³	1	4	yes	complemented
480	#388	C₂³	1	4	yes	complemented
481	#388	C₂³	1	4	yes	complemented
482	#388	C₂³	1	4	yes	complemented
483	#388	C₂³	1	4	yes	complemented
484	#388	C₂³	1	4	yes	complemented
485	#388	C₂³	1	4	yes	complemented
486	#388	C₂³	1	4	yes	complemented
487	#388	C₂³	1	4	yes	complemented
488	#388	C₂³	1	4	yes	complemented
489	#388	C₂³	1	4	yes	complemented
490	#387	C₂³	1	4	yes	complemented
491	#387	C₂³	1	4	yes	complemented
492	#387	C₂³	1	4	yes	complemented
493	#387	C₂³	1	4	yes	complemented
494	#387	C₂³	1	4	yes	complemented
495	#387	C₂³	1	4	yes	complemented
496	#387	C₂³	1	4	yes	complemented
497	#387	C₂³	1	4	yes	complemented
498	#387	C₂³	1	4	yes	complemented
499	#387	C₂³	1	4	yes	complemented
500	#387	C₂³	1	4	yes	complemented
501	#387	C₂³	1	4	yes	complemented
502	#387	C₂³	1	4	yes	complemented
503	#387	C₂³	1	4	yes	complemented
504	#387	C₂³	1	4	yes	complemented
505	#387	C₂³	1	4	yes	complemented
506	#387	C₂³	1	4	yes	complemented
507	#387	C₂³	1	4	yes	complemented
508	#386	C₂³	1	4	yes	—
509	#386	C₂³	1	4	yes	—
510	#386	C₂³	1	4	yes	—
511	#386	C₂³	1	4	yes	—
512	#386	C₂³	1	4	yes	—
513	#386	C₂³	1	4	yes	—
514	#386	C₂³	1	4	yes	—
515	#386	C₂³	1	4	yes	—
516	#386	C₂³	1	4	yes	—
517	#386	C₂³	1	2	yes	—
518	#386	C₂³	1	2	yes	—
519	#386	C₂³	1	4	yes	—
520	#386	C₂³	1	4	yes	—
521	#386	C₂³	1	4	yes	—
522	#386	C₂³	1	4	yes	—
523	#386	C₂³	1	4	yes	—
524	#386	C₂³	1	4	yes	complemented
525	#386	C₂³	1	4	yes	complemented
526	#386	C₂³	1	4	yes	complemented
527	#386	C₂³	1	4	yes	complemented
528	#386	C₂³	1	4	yes	complemented
529	#386	C₂³	1	4	yes	complemented
530	#386	C₂³	1	4	yes	complemented
531	#386	C₂³	1	4	yes	complemented
532	#386	C₂³	1	4	yes	complemented
533	#385	C₂³	1	4	yes	—
534	#385	C₂³	1	4	yes	—
535	#385	C₂³	1	4	yes	—
536	#385	C₂³	1	2	yes	—
537	#385	C₂³	1	2	yes	—
538	#385	C₂³	1	4	yes	—
539	#385	C₂³	1	4	yes	—
540	#385	C₂³	1	4	yes	—
541	#385	C₂³	1	4	yes	—
542	#385	C₂³	1	4	yes	—
543	#385	C₂³	1	4	yes	—
544	#385	C₂³	1	4	yes	—
545	#385	C₂³	1	4	yes	—
546	#385	C₂³	1	4	yes	—
547	#385	C₂³	1	4	yes	complemented
548	#385	C₂³	1	4	yes	complemented
549	#385	C₂³	1	4	yes	complemented
550	#385	C₂³	1	4	yes	complemented
551	#385	C₂³	1	4	yes	complemented
552	#385	C₂³	1	4	yes	complemented
553	#385	C₂³	1	4	yes	complemented
554	#385	C₂³	1	4	yes	complemented
555	#385	C₂³	1	4	yes	complemented
556	#385	C₂³	1	4	yes	complemented
557	#385	C₂³	1	4	yes	complemented
558	#383	C₂³	1	2	yes	complemented
559	#382	C₂³	1	2	yes	complemented
560	#381	C₂³	1	2	yes	—
561	#381	C₂³	1	2	yes	—
562	#381	C₂³	1	4	yes	—
563	#381	C₂³	1	4	yes	—
564	#381	C₂³	1	2	yes	—
565	#381	C₂³	1	2	yes	—
566	#381	C₂³	1	2	yes	—
567	#381	C₂³	1	2	yes	—
568	#381	C₂³	1	2	yes	—
569	#381	C₂³	1	2	yes	complemented
570	#381	C₂³	1	4	yes	complemented
571	#381	C₂³	1	4	yes	complemented
572	#381	C₂³	1	4	yes	complemented
573	#381	C₂³	1	4	yes	complemented
574	#380	C₂³	1	1	yes	characteristic
575	#380	C₂³	1	1	yes	characteristic
576	#380	C₂³	1	1	yes	characteristic
577	#380	C₂³	1	1	yes	characteristic
578	#380	C₂³	1	2	yes	—
579	#380	C₂³	1	2	yes	—
580	#380	C₂³	1	4	yes	—
581	#380	C₂³	1	1	yes	characteristic
582	#380	C₂³	1	2	yes	—
583	#380	C₂³	1	2	yes	—
584	#380	C₂³	1	4	yes	—
585	#380	C₂³	1	4	yes	—
586	#380	C₂³	1	1	yes	characteristic
587	#380	C₂³	1	4	yes	—
588	#380	C₂³	1	2	yes	—
589	#380	C₂³	1	4	yes	—
590	#380	C₂³	1	4	yes	—
591	#380	C₂³	1	2	yes	complemented
592	#380	C₂³	1	4	yes	complemented
593	#380	C₂³	1	4	yes	complemented
594	#380	C₂³	1	4	yes	complemented
595	#380	C₂³	1	4	yes	complemented
596	#379	C₂³	1	4	yes	—
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	2	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	2	yes	—
611	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
612	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
613	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
614	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
615	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
616	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
617	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
618	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
619	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
620	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
621	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
622	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
623	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
624	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
625	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
626	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
627	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
628	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
629	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
630	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
631	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
632	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
633	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
634	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
635	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
636	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
637	#376	C₂³	1	2	yes	complemented
638	C₂×#95	C₂³	1	2	yes	—
639	C₂×#95	C₂³	1	2	yes	—
640	C₂×#95	C₂³	1	1	yes	characteristic
641	C₂×#95	C₂³	1	2	yes	—
642	C₂×#95	C₂³	1	2	yes	—
643	C₂×#95	C₂³	1	2	yes	—
644	C₂×#95	C₂³	1	1	yes	characteristic
645	C₂×#95	C₂³	1	2	yes	complemented
646	C₂⁵	—	2	8	no	—
647	C₂⁵	—	2	8	no	—
648	C₂⁵	—	4	4	no	—
649	C₂⁵	—	4	4	no	—
650	C₂⁵	—	4	4	no	—
651	C₂⁵	—	4	4	no	—
652	C₂⁵	—	4	4	no	—
653	C₂⁵	C₂⁴	1	1	yes	characteristic
654	C₂⁵	C₂⁴	1	4	yes	—
655	C₂⁵	C₂⁴	1	4	yes	—
656	C₂⁵	C₂⁴	1	2	yes	—
657	C₂⁵	C₂⁴	1	2	yes	—
658	C₂×#41	—	2	4	no	—
659	C₂×#41	—	4	4	no	—
660	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
661	C₂²×Q₈	C₂⁴	1	4	yes	—
662	C₂²×D₄	—	2	8	no	—
663	C₂²×D₄	—	2	8	no	—
664	C₂²×D₄	—	2	4	no	—
665	C₂²×D₄	—	2	8	no	—
666	C₂²×D₄	—	2	4	no	—
667	C₂²×D₄	—	2	8	no	—
668	C₂²×D₄	—	2	8	no	—
669	C₂²×D₄	—	2	8	no	—
670	C₂²×D₄	—	2	8	no	—
671	C₂²×D₄	—	4	4	no	—
672	C₂²×D₄	—	4	4	no	—
673	C₂²×D₄	—	4	8	no	—
674	C₂²×D₄	—	4	8	no	—
675	C₂²×D₄	—	4	8	no	—
676	C₂²×D₄	—	4	8	no	—
677	C₂²×D₄	—	4	64	no	—
678	C₂²×D₄	C₂⁴	1	2	yes	—
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	2	yes	—
683	C₂²×D₄	C₂⁴	1	4	yes	—
684	C₂²×D₄	C₂⁴	1	4	yes	—
685	C₂²×D₄	C₂⁴	1	4	yes	—
686	C₂²×D₄	C₂⁴	1	4	yes	—
687	C₂²×D₄	C₂⁴	1	1	yes	characteristic
688	C₂²×D₄	C₂⁴	1	2	yes	—
689	C₂²×D₄	C₂⁴	1	2	yes	—
690	C₂²×D₄	C₂⁴	1	4	yes	—
691	C₂²×D₄	C₂⁴	1	4	yes	—
692	C₂³×C₄	—	2	4	no	—
693	C₂³×C₄	—	2	4	no	—
694	C₂³×C₄	—	2	4	no	—
695	C₂³×C₄	—	4	2	no	—
696	C₂³×C₄	—	4	4	no	—
697	C₂³×C₄	—	4	4	no	—
698	C₂³×C₄	—	4	4	no	—
699	C₂³×C₄	—	4	4	no	—
700	C₂³×C₄	—	4	4	no	—
701	C₂³×C₄	#41	1	8	yes	—
702	C₂³×C₄	C₂⁴	1	2	yes	—
703	C₂³×C₄	C₂⁴	1	1	yes	characteristic
704	C₂³×C₄	C₂⁴	1	2	yes	—
705	C₂³×C₄	C₂⁴	1	2	yes	—
706	C₂³×C₄	C₂⁴	1	1	yes	characteristic
707	C₂³×C₄	C₂⁴	1	1	yes	characteristic
708	C₂³×C₄	C₂⁴	1	1	yes	characteristic
709	C₂³×C₄	C₂⁴	1	1	yes	characteristic
710	C₂³×C₄	C₂⁴	1	2	yes	—
711	C₂³×C₄	C₂⁴	1	1	yes	characteristic
712	C₂³×C₄	C₂⁴	1	2	yes	—
713	C₂³×C₄	C₂⁴	1	4	yes	—
714	C₂³×C₄	C₂⁴	1	4	yes	—
715	C₂³×C₄	C₂⁴	1	2	yes	—
716	C₂³×C₄	C₂⁴	1	4	yes	—
717	C₂³×C₄	C₂⁴	1	4	yes	—
718	C₂³×C₄	C₂⁴	1	2	yes	—
719	C₂³×C₄	C₂⁴	1	4	yes	—
720	C₂³×C₄	C₂⁴	1	4	yes	—
721	C₂³×C₄	C₂⁴	1	4	yes	—
722	C₂³×C₄	C₂⁴	1	1	yes	characteristic
723	C₂³×C₄	C₂⁴	1	1	yes	characteristic
724	C₂³×C₄	C₂⁴	1	1	yes	characteristic
725	C₂³×C₄	C₂⁴	1	1	yes	characteristic
726	#127	—	4	8	no	—
727	#126	—	4	8	no	—
728	#126	—	4	8	no	—
729	#126	—	4	8	no	—
730	#126	—	4	8	no	—
731	#124	—	4	8	no	—
732	#124	—	4	8	no	—
733	#124	—	4	8	no	—
734	#123	—	2	8	no	—
735	#123	—	2	8	no	—
736	#123	—	4	8	no	—
737	#123	—	4	8	no	—
738	#123	—	4	8	no	—
739	#123	—	4	4	no	—
740	#123	—	4	8	no	—
741	#123	—	4	8	no	—
742	C₂²⋊Q₈	—	2	4	no	—
743	C₂²⋊Q₈	—	2	4	no	—
744	C₂²⋊Q₈	—	4	8	no	—
745	C₂²⋊Q₈	—	4	8	no	—
746	C₂²⋊Q₈	—	4	8	no	—
747	C₂²⋊Q₈	—	4	8	no	—
748	C₂²⋊Q₈	—	4	8	no	—
749	#121	—	2	4	no	—
750	#121	—	2	4	no	—
751	#121	—	4	8	no	—
752	#121	—	4	8	no	—
753	#120	—	2	8	no	—
754	#120	—	2	16	no	—
755	#120	—	4	8	no	—
756	#120	—	4	8	no	—
757	#120	—	4	8	no	—
758	#120	—	4	8	no	—
759	#120	—	4	8	no	—
760	C₄×D₄	—	2	8	no	—
761	C₄×D₄	—	2	8	no	—
762	C₄×D₄	—	4	8	no	—
763	C₄×D₄	—	4	8	no	—
764	C₄×D₄	—	4	8	no	—
765	C₄×D₄	—	4	8	no	—
766	C₄×D₄	—	4	8	no	—
767	C₄×D₄	—	4	8	no	—
768	C₄×D₄	—	4	8	no	—
769	C₄×D₄	—	4	8	no	—
770	C₄×D₄	—	4	8	no	—
771	#117	—	2	4	no	—
772	#117	—	2	8	no	—
773	#117	—	4	8	no	—
774	#117	—	4	4	no	—
775	#117	—	4	4	no	—
776	#117	—	4	4	no	—
777	#117	—	4	4	no	—
778	#117	—	4	8	no	—
779	#117	—	4	8	no	—
780	C₂×C₄⋊C₄	—	2	4	no	—
781	C₂×C₄⋊C₄	—	2	4	no	—
782	C₂×C₄⋊C₄	—	2	8	no	—
783	C₂×C₄⋊C₄	—	2	8	no	—
784	C₂×C₄⋊C₄	—	2	4	no	—
785	C₂×C₄⋊C₄	—	2	8	no	—
786	C₂×C₄⋊C₄	—	2	4	no	—
787	C₂×C₄⋊C₄	—	2	8	no	—
788	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
789	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
790	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
791	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
792	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
793	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
794	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
795	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
796	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
797	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
798	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
799	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
800	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
801	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
802	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
803	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
804	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
805	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
806	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
807	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
808	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
810	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
812	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
813	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
814	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
815	C₂×C₄⋊C₄	C₂⁴	1	4	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	4	yes	—
824	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
825	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
826	C₂×C₂²⋊C₄	—	2	16	no	—
827	C₂×C₂²⋊C₄	—	2	16	no	—
828	C₂×C₂²⋊C₄	—	2	16	no	—
829	C₂×C₂²⋊C₄	—	4	8	no	—
830	C₂×C₂²⋊C₄	—	4	8	no	—
831	C₂×C₂²⋊C₄	—	4	8	no	—
832	C₂×C₂²⋊C₄	—	4	8	no	—
833	C₂×C₂²⋊C₄	—	4	8	no	—
834	C₂×C₂²⋊C₄	—	4	8	no	—
835	C₂×C₂²⋊C₄	—	4	8	no	—
836	C₂×C₂²⋊C₄	—	4	8	no	—
837	C₂×C₂²⋊C₄	—	4	8	no	—
838	C₂×C₂²⋊C₄	—	4	8	no	—
839	C₂×C₂²⋊C₄	—	4	8	no	—
840	C₂×C₂²⋊C₄	—	4	8	no	—
841	C₂×C₂²⋊C₄	—	4	8	no	—
842	C₂×C₂²⋊C₄	—	4	8	no	—
843	C₂×C₂²⋊C₄	—	4	8	no	—
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	2	yes	—
854	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
855	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
856	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
857	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
858	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
859	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	yes	—
864	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
865	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
866	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
867	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
868	C₂×C₂²⋊C₄	C₂⁴	1	2	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	4	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	4	yes	—
906	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
907	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
908	C₂×C₄²	C₂⁴	1	4	yes	—
909	C₂×C₄²	C₂⁴	1	2	yes	—
910	C₂×C₄²	C₂⁴	1	4	yes	—
911	C₂×C₄²	C₂⁴	1	4	yes	—
912	C₂×C₄²	C₂⁴	1	4	yes	—
913	C₂×C₄²	C₂⁴	1	4	yes	—
914	C₂×C₄²	C₂⁴	1	4	yes	—
915	C₂×C₄²	C₂⁴	1	4	yes	—
916	C₂×C₄²	C₂⁴	1	4	yes	—
917	C₂×C₄²	C₂⁴	1	4	yes	—
918	C₂×C₄²	C₂⁴	1	4	yes	—
919	#95	C₂⁴	1	2	yes	—
920	#95	C₂⁴	1	2	yes	—
921	#95	C₂⁴	1	2	yes	—
922	#95	C₂⁴	1	4	yes	—
923	#95	C₂⁴	1	4	yes	—
924	#95	C₂⁴	1	2	yes	—
925	#95	C₂⁴	1	2	yes	—
926	#95	C₂⁴	1	4	yes	—
927	#95	C₂⁴	1	2	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	2	yes	—
941	#95	C₂⁴	1	2	yes	—
942	#95	C₂⁴	1	2	yes	—
943	#95	C₂⁴	1	2	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	4	yes	—
951	#95	C₂⁴	1	4	yes	—
952	#95	C₂⁴	1	4	yes	—
953	#95	C₂⁴	1	4	yes	—
954	#95	C₂⁴	1	4	yes	—
955	#95	C₂⁴	1	4	yes	—
956	#95	C₂⁴	1	4	yes	—
957	#95	C₂⁴	1	4	yes	—
958	#95	C₂⁴	1	4	yes	—
959	#95	C₂⁴	1	4	yes	—
960	#95	C₂⁴	1	4	yes	—
961	#95	C₂⁴	1	4	yes	—
962	C₂⁴	—	2	2	no	—
963	C₂⁴	—	2	4	no	—
964	C₂⁴	—	2	4	no	—
965	C₂⁴	—	2	2	no	—
966	C₂⁴	—	2	4	no	—
967	C₂⁴	—	2	4	no	—
968	C₂⁴	—	2	8	no	—
969	C₂⁴	—	2	8	no	—
970	C₂⁴	—	2	4	no	—
971	C₂⁴	—	2	8	no	—
972	C₂⁴	—	2	8	no	—
973	C₂⁴	—	2	8	no	—
974	C₂⁴	—	2	8	no	—
975	C₂⁴	—	2	8	no	—
976	C₂⁴	—	2	8	no	—
977	C₂⁴	—	2	4	no	—
978	C₂⁴	—	2	4	no	—
979	C₂⁴	—	4	2	no	—
980	C₂⁴	—	4	4	no	—
981	C₂⁴	—	4	2	no	—
982	C₂⁴	—	4	4	no	—
983	C₂⁴	—	4	4	no	—
984	C₂⁴	—	4	2	no	—
985	C₂⁴	—	4	2	no	—
986	C₂⁴	—	4	2	no	—
987	C₂⁴	—	4	4	no	—
988	C₂⁴	—	4	4	no	—
989	C₂⁴	—	4	4	no	—
990	C₂⁴	—	4	2	no	—
991	C₂⁴	—	4	2	no	—
992	C₂⁴	—	4	2	no	—
993	C₂⁴	—	4	32	no	—
994	C₂⁴	—	4	32	no	—
995	C₂⁴	—	4	32	no	—
996	C₂⁴	—	8	16	no	—
997	C₂⁴	—	8	16	no	—
998	C₂⁴	—	8	16	no	—
999	C₂⁴	—	8	16	no	—
1000	C₂⁴	C₂×#41	1	4	yes	—
1001	C₂⁴	H(5,𝔽₂)	1	8	yes	—
1002	C₂⁴	C₂⁵	1	4	yes	—
1003	C₂⁴	C₂⁵	1	2	yes	—
1004	C₂⁴	C₂⁵	1	4	yes	—
1005	C₂⁴	C₂⁵	1	1	yes	characteristic
1006	C₂⁴	C₂⁵	1	1	yes	characteristic
1007	C₂⁴	C₂⁵	1	1	yes	characteristic
1008	#41	—	8	8	no	—
1009	C₂×Q₈	—	2	2	no	—
1010	C₂×Q₈	—	4	2	no	—
1011	C₂×Q₈	—	4	4	no	—
1012	C₂×Q₈	—	4	4	no	—
1013	C₂×Q₈	—	4	4	no	—
1014	C₂×D₄	—	2	32	no	—
1015	C₂×D₄	—	2	8	no	—
1016	C₂×D₄	—	2	8	no	—
1017	C₂×D₄	—	2	4	no	—
1018	C₂×D₄	—	2	4	no	—
1019	C₂×D₄	—	2	4	no	—
1020	C₂×D₄	—	2	4	no	—
1021	C₂×D₄	—	2	8	no	—
1022	C₂×D₄	—	2	8	no	—
1023	C₂×D₄	—	2	8	no	—
1024	C₂×D₄	—	2	8	no	—
1025	C₂×D₄	—	2	4	no	—
1026	C₂×D₄	—	2	8	no	—
1027	C₂×D₄	—	2	8	no	—
1028	C₂×D₄	—	2	4	no	—
1029	C₂×D₄	—	2	4	no	—
1030	C₂×D₄	—	2	8	no	—
1031	C₂×D₄	—	2	4	no	—
1032	C₂×D₄	—	2	4	no	—
1033	C₂×D₄	—	2	8	no	—
1034	C₂×D₄	—	2	2	no	—
1035	C₂×D₄	—	4	4	no	—
1036	C₂×D₄	—	4	4	no	—
1037	C₂×D₄	—	4	4	no	—
1038	C₂×D₄	—	4	4	no	—
1039	C₂×D₄	—	4	32	no	—
1040	C₂×D₄	—	4	16	no	—
1041	C₂×D₄	—	4	4	no	—
1042	C₂×D₄	—	4	4	no	—
1043	C₂×D₄	—	4	4	no	—
1044	C₂×D₄	—	4	4	no	—
1045	C₂×D₄	—	4	2	no	—
1046	C₂×D₄	—	4	4	no	—
1047	C₂×D₄	—	4	4	no	—
1048	C₂×D₄	—	4	4	no	—
1049	C₂×D₄	—	4	4	no	—
1050	C₂×D₄	—	4	4	no	—
1051	C₂×D₄	—	4	4	no	—
1052	C₂×D₄	—	4	32	no	—
1053	C₂×D₄	—	4	32	no	—
1054	C₂×D₄	—	4	32	no	—
1055	C₂×D₄	—	4	32	no	—
1056	C₂²×C₄	—	2	2	no	—
1057	C₂²×C₄	—	2	4	no	—
1058	C₂²×C₄	—	2	4	no	—
1059	C₂²×C₄	—	2	2	no	—
1060	C₂²×C₄	—	2	4	no	—
1061	C₂²×C₄	—	2	4	no	—
1062	C₂²×C₄	—	2	4	no	—
1063	C₂²×C₄	—	2	2	no	—
1064	C₂²×C₄	—	2	8	no	—
1065	C₂²×C₄	—	2	2	no	—
1066	C₂²×C₄	—	2	2	no	—
1067	C₂²×C₄	—	2	2	no	—
1068	C₂²×C₄	—	2	2	no	—
1069	C₂²×C₄	—	2	4	no	—
1070	C₂²×C₄	—	2	8	no	—
1071	C₂²×C₄	—	2	8	no	—
1072	C₂²×C₄	—	2	8	no	—
1073	C₂²×C₄	—	2	8	no	—
1074	C₂²×C₄	—	2	4	no	—
1075	C₂²×C₄	—	2	4	no	—
1076	C₂²×C₄	—	2	4	no	—
1077	C₂²×C₄	—	2	4	no	—
1078	C₂²×C₄	—	2	4	no	—
1079	C₂²×C₄	—	4	16	no	—
1080	C₂²×C₄	—	4	2	no	—
1081	C₂²×C₄	—	4	2	no	—
1082	C₂²×C₄	—	4	2	no	—
1083	C₂²×C₄	—	4	2	no	—
1084	C₂²×C₄	—	4	2	no	—
1085	C₂²×C₄	—	4	2	no	—
1086	C₂²×C₄	—	4	2	no	—
1087	C₂²×C₄	—	4	4	no	—
1088	C₂²×C₄	—	4	2	no	—
1089	C₂²×C₄	—	4	2	no	—
1090	C₂²×C₄	—	4	4	no	—
1091	C₂²×C₄	—	4	4	no	—
1092	C₂²×C₄	—	4	2	no	—
1093	C₂²×C₄	—	4	2	no	—
1094	C₂²×C₄	—	4	2	no	—
1095	C₂²×C₄	—	4	4	no	—
1096	C₂²×C₄	—	4	4	no	—
1097	C₂²×C₄	—	4	4	no	—
1098	C₂²×C₄	—	4	4	no	—
1099	C₂²×C₄	—	4	4	no	—
1100	C₂²×C₄	—	4	4	no	—
1101	C₂²×C₄	—	4	4	no	—
1102	C₂²×C₄	—	4	4	no	—
1103	C₂²×C₄	—	4	4	no	—
1104	C₂²×C₄	—	4	4	no	—
1105	C₂²×C₄	—	4	4	no	—
1106	C₂²×C₄	—	4	4	no	—
1107	C₂²×C₄	—	4	4	no	—
1108	C₂²×C₄	—	4	4	no	—
1109	C₂²×C₄	—	4	4	no	—
1110	C₂²×C₄	—	4	4	no	—
1111	C₂²×C₄	—	4	16	no	—
1112	C₂²×C₄	—	8	8	no	—
1113	C₂²×C₄	—	8	16	no	—
1114	C₂²×C₄	C₂×#41	1	4	yes	—
1115	C₂²×C₄	C₂×#41	1	4	yes	—
1116	C₂²×C₄	C₂×#41	1	4	yes	—
1117	C₂²×C₄	C₂×#41	1	4	yes	—
1118	C₂²×C₄	C₂×#41	1	4	yes	—
1119	C₂²×C₄	C₂×#41	1	4	yes	—
1120	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1121	C₂²×C₄	C₂⁵	1	2	yes	—
1122	C₂²×C₄	C₂⁵	1	2	yes	—
1123	C₂²×C₄	C₂⁵	1	4	yes	—
1124	C₂²×C₄	C₂⁵	1	4	yes	—
1125	C₂²×C₄	C₂⁵	1	4	yes	—
1126	C₂²×C₄	C₂⁵	1	4	yes	—
1127	C₂²×C₄	C₂⁵	1	4	yes	—
1128	C₂²×C₄	C₂⁵	1	2	yes	—
1129	C₂²×C₄	C₂⁵	1	4	yes	—
1130	C₂²×C₄	C₂⁵	1	2	yes	—
1131	C₂²×C₄	C₂⁵	1	4	yes	—
1132	C₂²×C₄	C₂⁵	1	2	yes	—
1133	C₂²×C₄	C₂⁵	1	4	yes	—
1134	C₂²×C₄	C₂⁵	1	2	yes	—
1135	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1136	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1137	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1138	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1139	C₂²×C₄	C₂⁵	1	2	yes	—
1140	C₄⋊C₄	—	2	4	no	—
1141	C₄⋊C₄	—	2	4	no	—
1142	C₄⋊C₄	—	2	4	no	—
1143	C₄⋊C₄	—	2	4	no	—
1144	C₄⋊C₄	—	2	4	no	—
1145	C₄⋊C₄	—	2	4	no	—
1146	C₄⋊C₄	—	2	4	no	—
1147	C₄⋊C₄	—	2	4	no	—
1148	C₄⋊C₄	—	2	2	no	—
1149	C₄⋊C₄	—	2	2	no	—
1150	C₄⋊C₄	—	2	4	no	—
1151	C₄⋊C₄	—	2	4	no	—
1152	C₄⋊C₄	—	2	8	no	—
1153	C₄⋊C₄	—	2	8	no	—
1154	C₄⋊C₄	—	4	4	no	—
1155	C₄⋊C₄	—	4	2	no	—
1156	C₄⋊C₄	—	4	2	no	—
1157	C₄⋊C₄	—	4	2	no	—
1158	C₄⋊C₄	—	4	2	no	—
1159	C₄⋊C₄	—	4	2	no	—
1160	C₄⋊C₄	—	4	2	no	—
1161	C₄⋊C₄	—	4	4	no	—
1162	C₄⋊C₄	—	4	4	no	—
1163	C₄⋊C₄	—	4	4	no	—
1164	C₄⋊C₄	—	4	4	no	—
1165	C₄⋊C₄	—	4	4	no	—
1166	C₄⋊C₄	—	4	4	no	—
1167	C₄⋊C₄	—	4	4	no	—
1168	C₄⋊C₄	—	4	4	no	—
1169	C₄⋊C₄	—	4	4	no	—
1170	C₄⋊C₄	—	4	4	no	—
1171	C₄⋊C₄	—	4	4	no	—
1172	C₄⋊C₄	—	4	4	no	—
1173	C₄⋊C₄	—	4	4	no	—
1174	C₄⋊C₄	—	4	4	no	—
1175	C₄⋊C₄	—	4	4	no	—
1176	C₄⋊C₄	—	4	4	no	—
1177	C₄⋊C₄	—	4	4	no	—
1178	C₂²⋊C₄	—	2	4	no	—
1179	C₂²⋊C₄	—	2	4	no	—
1180	C₂²⋊C₄	—	2	4	no	—
1181	C₂²⋊C₄	—	2	8	no	—
1182	C₂²⋊C₄	—	2	8	no	—
1183	C₂²⋊C₄	—	2	8	no	—
1184	C₂²⋊C₄	—	2	8	no	—
1185	C₂²⋊C₄	—	2	8	no	—
1186	C₂²⋊C₄	—	2	8	no	—
1187	C₂²⋊C₄	—	2	8	no	—
1188	C₂²⋊C₄	—	2	8	no	—
1189	C₂²⋊C₄	—	2	4	no	—
1190	C₂²⋊C₄	—	2	4	no	—
1191	C₂²⋊C₄	—	2	4	no	—
1192	C₂²⋊C₄	—	2	8	no	—
1193	C₂²⋊C₄	—	2	8	no	—
1194	C₂²⋊C₄	—	2	8	no	—
1195	C₂²⋊C₄	—	2	4	no	—
1196	C₂²⋊C₄	—	2	8	no	—
1197	C₂²⋊C₄	—	2	8	no	—
1198	C₂²⋊C₄	—	2	4	no	—
1199	C₂²⋊C₄	—	2	4	no	—
1200	C₂²⋊C₄	—	2	8	no	—
1201	C₂²⋊C₄	—	2	4	no	—
1202	C₂²⋊C₄	—	2	4	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	—	4	4	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	4	no	—
1214	C₂²⋊C₄	—	4	4	no	—
1215	C₂²⋊C₄	—	4	4	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	4	no	—
1229	C₂²⋊C₄	—	4	4	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	C₄²	—	2	4	no	—
1243	C₄²	—	2	8	no	—
1244	C₄²	—	4	4	no	—
1245	C₄²	—	4	4	no	—
1246	C₄²	—	4	4	no	—
1247	C₄²	—	4	4	no	—
1248	C₄²	—	4	4	no	—
1249	C₄²	—	4	4	no	—
1250	C₄²	—	4	4	no	—
1251	C₄²	—	4	4	no	—
1252	C₄²	—	4	4	no	—
1253	C₂³	—	2	16	no	—
1254	C₂³	—	2	16	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	2	2	no	—
1258	C₂³	—	2	2	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	2	1	no	—
1261	C₂³	—	2	2	no	—
1262	C₂³	—	2	2	no	—
1263	C₂³	—	2	8	no	—
1264	C₂³	—	2	8	no	—
1265	C₂³	—	2	8	no	—
1266	C₂³	—	2	4	no	—
1267	C₂³	—	2	4	no	—
1268	C₂³	—	2	4	no	—
1269	C₂³	—	2	4	no	—
1270	C₂³	—	2	4	no	—
1271	C₂³	—	2	4	no	—
1272	C₂³	—	2	16	no	—
1273	C₂³	—	2	2	no	—
1274	C₂³	—	2	4	no	—
1275	C₂³	—	2	4	no	—
1276	C₂³	—	2	2	no	—
1277	C₂³	—	2	4	no	—
1278	C₂³	—	2	4	no	—
1279	C₂³	—	2	4	no	—
1280	C₂³	—	2	4	no	—
1281	C₂³	—	2	4	no	—
1282	C₂³	—	2	4	no	—
1283	C₂³	—	2	2	no	—
1284	C₂³	—	2	4	no	—
1285	C₂³	—	4	8	no	—
1286	C₂³	—	4	8	no	—
1287	C₂³	—	4	16	no	—
1288	C₂³	—	4	16	no	—
1289	C₂³	—	4	16	no	—
1290	C₂³	—	4	16	no	—
1291	C₂³	—	4	16	no	—
1292	C₂³	—	4	16	no	—
1293	C₂³	—	4	8	no	—
1294	C₂³	—	4	8	no	—
1295	C₂³	—	4	8	no	—
1296	C₂³	—	4	16	no	—
1297	C₂³	—	4	16	no	—
1298	C₂³	—	8	4	no	—
1299	C₂³	—	8	8	no	—
1300	C₂³	—	8	4	no	—
1301	C₂³	—	8	4	no	—
1302	C₂³	—	8	8	no	—
1303	C₂³	—	8	4	no	—
1304	C₂³	—	8	4	no	—
1305	C₂³	—	8	8	no	—
1306	C₂³	—	8	4	no	—
1307	C₂³	—	8	8	no	—
1308	C₂³	—	8	4	no	—
1309	C₂³	—	8	4	no	—
1310	C₂³	—	8	8	no	—
1311	C₂³	—	8	8	no	—
1312	C₂³	—	8	128	no	—
1313	C₂³	C₂²×#41	1	2	yes	—
1314	C₂³	C₂²×#41	1	2	yes	—
1315	C₂³	C₂²×#41	1	2	yes	—
1316	C₂³	C₂×H(5,𝔽₂)	1	8	yes	—
1317	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1318	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1319	C₂³	#585	1	2	yes	—
1320	C₂³	#585	1	4	yes	—
1321	C₂³	C₂⁶	1	1	yes	characteristic
1322	Q₈	—	8	2	no	—
1323	Q₈	—	16	4	no	—
1324	D₄	—	2	16	no	—
1325	D₄	—	2	16	no	—
1326	D₄	—	4	16	no	—
1327	D₄	—	4	16	no	—
1328	D₄	—	4	8	no	—
1329	D₄	—	4	8	no	—
1330	D₄	—	4	8	no	—
1331	D₄	—	4	8	no	—
1332	D₄	—	4	8	no	—
1333	D₄	—	8	2	no	—
1334	D₄	—	8	8	no	—
1335	D₄	—	8	8	no	—
1336	D₄	—	16	4	no	—
1337	D₄	—	16	4	no	—
1338	C₂×C₄	—	2	2	no	—
1339	C₂×C₄	—	2	2	no	—
1340	C₂×C₄	—	2	2	no	—
1341	C₂×C₄	—	2	2	no	—
1342	C₂×C₄	—	2	2	no	—
1343	C₂×C₄	—	2	2	no	—
1344	C₂×C₄	—	2	8	no	—
1345	C₂×C₄	—	2	8	no	—
1346	C₂×C₄	—	2	8	no	—
1347	C₂×C₄	—	2	2	no	—
1348	C₂×C₄	—	2	2	no	—
1349	C₂×C₄	—	2	2	no	—
1350	C₂×C₄	—	2	2	no	—
1351	C₂×C₄	—	2	2	no	—
1352	C₂×C₄	—	2	2	no	—
1353	C₂×C₄	—	2	4	no	—
1354	C₂×C₄	—	2	4	no	—
1355	C₂×C₄	—	2	4	no	—
1356	C₂×C₄	—	2	4	no	—
1357	C₂×C₄	—	2	4	no	—
1358	C₂×C₄	—	2	4	no	—
1359	C₂×C₄	—	2	4	no	—
1360	C₂×C₄	—	2	2	no	—
1361	C₂×C₄	—	2	4	no	—
1362	C₂×C₄	—	2	4	no	—
1363	C₂×C₄	—	2	4	no	—
1364	C₂×C₄	—	2	4	no	—
1365	C₂×C₄	—	2	4	no	—
1366	C₂×C₄	—	2	4	no	—
1367	C₂×C₄	—	2	4	no	—
1368	C₂×C₄	—	2	4	no	—
1369	C₂×C₄	—	2	4	no	—
1370	C₂×C₄	—	2	2	no	—
1371	C₂×C₄	—	2	4	no	—
1372	C₂×C₄	—	2	4	no	—
1373	C₂×C₄	—	2	4	no	—
1374	C₂×C₄	—	2	4	no	—
1375	C₂×C₄	—	2	4	no	—
1376	C₂×C₄	—	2	4	no	—
1377	C₂×C₄	—	2	4	no	—
1378	C₂×C₄	—	2	4	no	—
1379	C₂×C₄	—	2	4	no	—
1380	C₂×C₄	—	2	4	no	—
1381	C₂×C₄	—	2	4	no	—
1382	C₂×C₄	—	2	2	no	—
1383	C₂×C₄	—	2	2	no	—
1384	C₂×C₄	—	2	4	no	—
1385	C₂×C₄	—	4	4	no	—
1386	C₂×C₄	—	4	4	no	—
1387	C₂×C₄	—	4	4	no	—
1388	C₂×C₄	—	4	4	no	—
1389	C₂×C₄	—	4	8	no	—
1390	C₂×C₄	—	4	8	no	—
1391	C₂×C₄	—	4	8	no	—
1392	C₂×C₄	—	4	4	no	—
1393	C₂×C₄	—	8	4	no	—
1394	C₂×C₄	—	8	8	no	—
1395	C₂×C₄	—	8	8	no	—
1396	C₂×C₄	—	8	2	no	—
1397	C₂×C₄	—	8	4	no	—
1398	C₂×C₄	—	8	2	no	—
1399	C₂×C₄	—	8	4	no	—
1400	C₂×C₄	—	8	8	no	—
1401	C₂×C₄	—	8	8	no	—
1402	C₂×C₄	—	8	4	no	—
1403	C₂×C₄	—	16	4	no	—
1404	C₂×C₄	—	16	4	no	—
1405	C₂×C₄	—	16	4	no	—
1406	C₂×C₄	C₂²×#41	1	2	yes	—
1407	C₂×C₄	C₂²×#41	1	2	yes	—
1408	C₂×C₄	C₂²×#41	1	2	yes	—
1409	C₂×C₄	C₂²×#41	1	2	yes	—
1410	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1411	C₂²	—	2	32	no	—
1412	C₂²	—	2	2	no	—
1413	C₂²	—	2	2	no	—
1414	C₂²	—	2	2	no	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	2	no	—
1418	C₂²	—	2	4	no	—
1419	C₂²	—	2	4	no	—
1420	C₂²	—	2	4	no	—
1421	C₂²	—	2	4	no	—
1422	C₂²	—	2	4	no	—
1423	C₂²	—	2	4	no	—
1424	C₂²	—	2	8	no	—
1425	C₂²	—	2	8	no	—
1426	C₂²	—	2	8	no	—
1427	C₂²	—	4	4	no	—
1428	C₂²	—	4	4	no	—
1429	C₂²	—	4	4	no	—
1430	C₂²	—	4	4	no	—
1431	C₂²	—	4	2	no	—
1432	C₂²	—	4	4	no	—
1433	C₂²	—	4	2	no	—
1434	C₂²	—	4	4	no	—
1435	C₂²	—	4	2	no	—
1436	C₂²	—	4	4	no	—
1437	C₂²	—	4	4	no	—
1438	C₂²	—	4	4	no	—
1439	C₂²	—	4	4	no	—
1440	C₂²	—	4	4	no	—
1441	C₂²	—	4	4	no	—
1442	C₂²	—	4	4	no	—
1443	C₂²	—	8	16	no	—
1444	C₂²	—	8	32	no	—
1445	C₂²	—	8	32	no	—
1446	C₂²	—	8	16	no	—
1447	C₂²	#3490	1	4	yes	—
1448	C₂²	#3494	1	4	yes	—
1449	C₂²	#3510	1	4	yes	—
1450	C₂²	C₂³×#41	1	1	yes	characteristic
1451	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1452	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1453	C₂²	C₂×#585	1	1	yes	characteristic
1454	C₂²	C₂×#585	1	2	yes	—
1455	C₄	—	2	2	no	—
1456	C₄	—	2	2	no	—
1457	C₄	—	2	2	no	—
1458	C₄	—	2	2	no	—
1459	C₄	—	2	4	no	—
1460	C₄	—	4	2	no	—
1461	C₄	—	4	2	no	—
1462	C₄	—	4	2	no	—
1463	C₄	—	4	2	no	—
1464	C₄	—	4	2	no	—
1465	C₄	—	4	2	no	—
1466	C₄	—	4	4	no	—
1467	C₄	—	4	4	no	—
1468	C₄	—	4	4	no	—
1469	C₄	—	4	4	no	—
1470	C₄	—	4	4	no	—
1471	C₄	—	4	4	no	—
1472	C₄	—	4	4	no	—
1473	C₄	—	4	4	no	—
1474	C₂	—	2	4	no	—
1475	C₂	—	2	4	no	—
1476	C₂	—	2	4	no	—
1477	C₂	—	4	8	no	—
1478	C₂	—	8	2	no	—
1479	C₂	—	8	4	no	—
1480	C₂	C₂×#3490	1	1	yes	characteristic
1481	C₂	C₂×#3494	1	1	yes	characteristic
1482	C₂	C₂×#3510	1	1	yes	characteristic
1483	C₂	#62818	1	2	yes	—
1484	C₂	#62820	1	2	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	#35222	C₂
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. #43960	C₂	semidirect
2. #43959	C₂	semidirect
3. #43933	C₂	semidirect
4. #43905	C₂	semidirect
5. #43178	C₂	semidirect
6. #43177	C₂	semidirect
7. #43084	C₂	semidirect
8. #43083	C₂	semidirect
9. #41963	C₂	semidirect
10. #40644	C₂	semidirect
11. #40546	C₂	semidirect
12. #40544	C₂	semidirect
13. #36158	C₂	semidirect
14. #36158	C₂	semidirect
15. #35904	C₂	semidirect
16. #35751	C₂	semidirect
17. #35732	C₂	semidirect
18. #35731	C₂	semidirect
20. #35057	C₂	semidirect
21. #35052	C₂	semidirect
22. C₂²×#394	C₂	semidirect
23. #34218	C₂	semidirect
24. #34178	C₂	semidirect
25. #34171	C₂	semidirect
27. C₂×#551	C₂²	semidirect
28. C₂×#551	C₂²	semidirect
39. #2830	C₂²	semidirect
40. #2829	C₂²	semidirect
41. #2808	C₂²	semidirect
42. #2803	C₂²	semidirect
43. #2803	C₂²	semidirect
44. #2800	C₂²	semidirect
45. #2800	C₂²	semidirect
46. #2797	C₂²	semidirect
47. #2796	C₂²	semidirect
48. #2786	C₂²	semidirect
49. #2761	C₂²	semidirect
50. #2757	C₂²	semidirect
51. #2751	C₂²	semidirect
52. #2740	C₂²	semidirect
53. #2737	C₂²	semidirect
54. #2727	C₂²	semidirect
55. #2723	C₂²	semidirect
56. #2715	C₂²	semidirect
57. #2710	C₂²	semidirect
58. #2709	C₂²	semidirect
59. #2709	C₂²	semidirect
60. #2701	C₂²	semidirect
61. #2700	C₂²	semidirect
62. #2691	C₂²	semidirect
63. #2686	C₂²	semidirect
64. #2672	C₂²	semidirect
65. #2662	C₂²	semidirect
66. #2659	C₂²	semidirect
67. #2651	C₂²	semidirect
68. #2651	C₂²	semidirect
69. #2648	C₂²	semidirect
70. #2646	C₂²	semidirect
71. #2638	C₂²	semidirect
72. #2630	C₂²	semidirect
73. #2627	C₂²	semidirect
74. #2627	C₂²	semidirect
75. #2618	C₂²	semidirect
76. #2618	C₂²	semidirect
79. #2602	C₂²	semidirect
80. #2601	C₂²	semidirect
81. #2600	C₂²	semidirect
82. #2597	C₂²	semidirect
83. #2595	C₂²	semidirect
84. #2593	C₂²	semidirect
85. #2591	C₂²	semidirect
86. #2583	C₂²	semidirect
87. #2579	C₂²	semidirect
88. #2569	C₂²	semidirect
89. #2569	C₂²	semidirect
90. #2561	C₂²	semidirect
91. #2561	C₂²	semidirect
92. #2560	C₂²	semidirect
93. #2559	C₂²	semidirect
94. #2554	C₂²	semidirect
95. #2549	C₂²	semidirect
96. #2549	C₂²	semidirect
97. #2544	C₂²	semidirect
98. #2534	C₂²	semidirect
99. #2534	C₂²	semidirect
100. #2531	C₂²	semidirect
101. #2526	C₂²	semidirect
102. #2521	C₂²	semidirect
103. #2516	C₂²	semidirect
104. #2485	C₂²	semidirect
105. #2484	C₂²	semidirect
106. #2483	C₂²	semidirect
107. #2483	C₂²	semidirect
108. #2482	C₂²	semidirect
109. #2482	C₂²	semidirect
110. #2480	C₂²	semidirect
111. #2480	C₂²	semidirect
112. #2480	C₂²	semidirect
113. #2480	C₂²	semidirect
114. #2480	C₂²	semidirect
115. #2480	C₂²	semidirect
116. #2480	C₂²	semidirect
117. #2480	C₂²	semidirect
118. #2479	C₂²	semidirect
119. #2476	C₂²	semidirect
120. #2474	C₂²	semidirect
121. #2472	C₂²	semidirect
122. #2472	C₂²	semidirect
123. #2472	C₂²	semidirect
124. #2472	C₂²	semidirect
125. #2468	C₂²	semidirect
126. #2468	C₂²	semidirect
127. #2466	C₂²	semidirect
128. #2466	C₂²	semidirect
129. #2461	C₂²	semidirect
130. #2459	C₂²	semidirect
131. #2457	C₂²	semidirect
132. #2455	C₂²	semidirect
133. #2445	C₂²	semidirect
134. #2444	C₂²	semidirect
135. #2438	C₂²	semidirect
136. #2438	C₂²	semidirect
137. #2437	C₂²	semidirect
138. #2437	C₂²	semidirect
139. #2437	C₂²	semidirect
140. #2437	C₂²	semidirect
145. #2425	C₂²	semidirect
146. #2418	C₂²	semidirect
147. #2418	C₂²	semidirect
148. #2418	C₂²	semidirect
149. #2418	C₂²	semidirect
150. #2415	C₂²	semidirect
151. #2413	C₂²	semidirect
152. #2412	C₂²	semidirect
153. #2412	C₂²	semidirect
154. #2412	C₂²	semidirect
155. #2412	C₂²	semidirect
156. #2412	C₂²	semidirect
157. #2412	C₂²	semidirect
158. #2411	C₂²	semidirect
159. #2411	C₂²	semidirect
163. #2406	C₂²	semidirect
164. #2395	C₂²	semidirect
165. #2392	C₂²	semidirect
176. #2368	C₂²	semidirect
177. #2364	C₂²	semidirect
178. #2359	C₂²	semidirect
179. #2358	C₂²	semidirect
180. #2358	C₂²	semidirect
181. #2358	C₂²	semidirect
182. #2358	C₂²	semidirect
183. #2353	C₂²	semidirect
184. #2349	C₂²	semidirect
185. #2345	C₂²	semidirect
186. #2345	C₂²	semidirect
187. #2344	C₂²	semidirect
188. #2344	C₂²	semidirect
189. #2343	C₂²	semidirect
190. #2342	C₂²	semidirect
191. #2342	C₂²	semidirect
192. #2342	C₂²	semidirect
193. #2342	C₂²	semidirect
194. #2342	C₂²	semidirect
195. #2342	C₂²	semidirect
196. #2339	C₂²	semidirect
203. #2329	C₂²	semidirect
204. #2329	C₂²	semidirect
205. #2325	C₂²	semidirect
206. #2322	C₂²	semidirect
207. #2322	C₂²	semidirect
208. #2318	C₂²	semidirect
209. #2316	C₂²	semidirect
210. #2316	C₂²	semidirect
211. #2313	C₂²	semidirect
212. #2313	C₂²	semidirect
213. #2313	C₂²	semidirect
224. #2275	C₂²	semidirect
225. #2274	C₂²	semidirect
246. C₂×#126	C₂³	semidirect
247. C₂×#126	C₂³	semidirect
248. C₂×#126	C₂³	semidirect
249. C₂×#126	C₂³	semidirect
251. C₂×#124	C₂³	semidirect
252. C₂×#124	C₂³	semidirect
258. C₂×#123	C₂³	semidirect
259. C₂×#123	C₂³	semidirect
260. C₂×#123	C₂³	semidirect
261. C₂×#123	C₂³	semidirect
267. C₂×C₂²⋊Q₈	C₂³	semidirect
268. C₂×C₂²⋊Q₈	C₂³	semidirect
290. C₂×C₄×D₄	C₂³	semidirect
291. C₂×C₄×D₄	C₂³	semidirect
299. C₂×#117	C₂³	semidirect
300. C₂×#117	C₂³	semidirect
330. #400	C₂³	semidirect
331. #400	C₂³	semidirect
332. #400	C₂³	semidirect
333. #400	C₂³	semidirect
334. #399	C₂³	semidirect
335. #399	C₂³	semidirect
336. #399	C₂³	semidirect
337. #399	C₂³	semidirect
338. #398	C₂³	semidirect
339. #398	C₂³	semidirect
340. #398	C₂³	semidirect
341. #398	C₂³	semidirect
342. #398	C₂³	semidirect
343. #398	C₂³	semidirect
344. #398	C₂³	semidirect
345. #398	C₂³	semidirect
346. #397	C₂³	semidirect
347. #397	C₂³	semidirect
348. #397	C₂³	semidirect
349. #397	C₂³	semidirect
350. #397	C₂³	semidirect
351. #397	C₂³	semidirect
352. #397	C₂³	semidirect
353. #397	C₂³	semidirect
354. #397	C₂³	semidirect
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. #396	C₂³	semidirect
367. #396	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. #396	C₂³	semidirect
375. #396	C₂³	semidirect
376. #395	C₂³	semidirect
377. #395	C₂³	semidirect
378. #395	C₂³	semidirect
379. #395	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
415. #394	C₂³	semidirect
416. #394	C₂³	semidirect
417. #394	C₂³	semidirect
418. #394	C₂³	semidirect
419. #394	C₂³	semidirect
420. #393	C₂³	semidirect
421. #393	C₂³	semidirect
422. #393	C₂³	semidirect
423. #393	C₂³	semidirect
430. #391	C₂³	semidirect
431. #391	C₂³	semidirect
432. #391	C₂³	semidirect
441. #390	C₂³	semidirect
442. #390	C₂³	semidirect
443. #390	C₂³	semidirect
444. #390	C₂³	semidirect
445. #389	C₂³	semidirect
446. #389	C₂³	semidirect
447. #389	C₂³	semidirect
448. #389	C₂³	semidirect
449. #389	C₂³	semidirect
450. #389	C₂³	semidirect
451. #389	C₂³	semidirect
452. #389	C₂³	semidirect
453. #389	C₂³	semidirect
454. #388	C₂³	semidirect
455. #388	C₂³	semidirect
456. #388	C₂³	semidirect
457. #388	C₂³	semidirect
458. #388	C₂³	semidirect
459. #388	C₂³	semidirect
460. #388	C₂³	semidirect
461. #388	C₂³	semidirect
462. #388	C₂³	semidirect
463. #388	C₂³	semidirect
464. #388	C₂³	semidirect
465. #388	C₂³	semidirect
466. #388	C₂³	semidirect
467. #388	C₂³	semidirect
468. #388	C₂³	semidirect
469. #388	C₂³	semidirect
470. #388	C₂³	semidirect
471. #388	C₂³	semidirect
472. #388	C₂³	semidirect
473. #388	C₂³	semidirect
474. #388	C₂³	semidirect
475. #388	C₂³	semidirect
476. #388	C₂³	semidirect
477. #388	C₂³	semidirect
478. #388	C₂³	semidirect
479. #388	C₂³	semidirect
480. #388	C₂³	semidirect
481. #388	C₂³	semidirect
482. #388	C₂³	semidirect
483. #388	C₂³	semidirect
484. #388	C₂³	semidirect
485. #388	C₂³	semidirect
486. #388	C₂³	semidirect
487. #388	C₂³	semidirect
488. #388	C₂³	semidirect
489. #388	C₂³	semidirect
490. #387	C₂³	semidirect
491. #387	C₂³	semidirect
492. #387	C₂³	semidirect
493. #387	C₂³	semidirect
494. #387	C₂³	semidirect
495. #387	C₂³	semidirect
496. #387	C₂³	semidirect
497. #387	C₂³	semidirect
498. #387	C₂³	semidirect
499. #387	C₂³	semidirect
500. #387	C₂³	semidirect
501. #387	C₂³	semidirect
502. #387	C₂³	semidirect
503. #387	C₂³	semidirect
504. #387	C₂³	semidirect
505. #387	C₂³	semidirect
506. #387	C₂³	semidirect
507. #387	C₂³	semidirect
524. #386	C₂³	semidirect
525. #386	C₂³	semidirect
526. #386	C₂³	semidirect
527. #386	C₂³	semidirect
528. #386	C₂³	semidirect
529. #386	C₂³	semidirect
530. #386	C₂³	semidirect
531. #386	C₂³	semidirect
532. #386	C₂³	semidirect
547. #385	C₂³	semidirect
548. #385	C₂³	semidirect
549. #385	C₂³	semidirect
550. #385	C₂³	semidirect
551. #385	C₂³	semidirect
552. #385	C₂³	semidirect
553. #385	C₂³	semidirect
554. #385	C₂³	semidirect
555. #385	C₂³	semidirect
556. #385	C₂³	semidirect
557. #385	C₂³	semidirect
558. #383	C₂³	semidirect
559. #382	C₂³	semidirect
569. #381	C₂³	semidirect
570. #381	C₂³	semidirect
571. #381	C₂³	semidirect
572. #381	C₂³	semidirect
573. #381	C₂³	semidirect
591. #380	C₂³	semidirect
592. #380	C₂³	semidirect
593. #380	C₂³	semidirect
594. #380	C₂³	semidirect
595. #380	C₂³	semidirect
611. C₄×C₄⋊C₄	C₂³	semidirect
612. C₄×C₄⋊C₄	C₂³	semidirect
613. C₄×C₄⋊C₄	C₂³	semidirect
614. C₄×C₄⋊C₄	C₂³	semidirect
615. C₄×C₄⋊C₄	C₂³	semidirect
616. C₄×C₄⋊C₄	C₂³	semidirect
631. C₄×C₂²⋊C₄	C₂³	semidirect
632. C₄×C₂²⋊C₄	C₂³	semidirect
633. C₄×C₂²⋊C₄	C₂³	semidirect
634. C₄×C₂²⋊C₄	C₂³	semidirect
635. C₄×C₂²⋊C₄	C₂³	semidirect
636. C₄×C₂²⋊C₄	C₂³	semidirect
637. #376	C₂³	semidirect
645. 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
#43960	2
#43959	2
#43933	2
#43905	2
#43178	2
#43177	2
#43084	2
#43083	2
#41963	2
#40644	2
#40546	2
#40544	2
#36158	2
#35904	2
#35751	2
#35732	2
#35731	2
#35222	2
#35057	2
#35052	2
C₂²×#394	2
#34218	2
#34178	2
#34171	2