Subgroups — #8131178

Order 512.

5225 conjugacy classes of subgroups.

The subgroup lattice has 1484 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#59192	C₂	1	2	yes	maximal, complemented
2	#59006	C₂	1	2	yes	maximal
3	#58987	C₂	1	2	yes	maximal, complemented
4	#58982	C₂	1	2	yes	maximal, complemented
5	#58375	C₂	1	2	yes	maximal, complemented
6	#58362	C₂	1	2	yes	maximal, complemented
7	#57515	C₂	1	4	yes	maximal, complemented
8	#57446	C₂	1	4	yes	maximal, complemented
9	#51691	C₂	1	2	yes	maximal, complemented
10	#51589	C₂	1	2	yes	maximal, complemented
11	#51496	C₂	1	4	yes	maximal, complemented
12	#50887	C₂	1	2	yes	maximal, complemented
13	#48350	C₂	1	4	yes	maximal, complemented
14	#48214	C₂	1	2	yes	maximal, complemented
15	#45474	C₂	1	2	yes	maximal, complemented
16	#45456	C₂	1	2	yes	maximal, complemented
17	#40639	C₂	1	4	yes	maximal, complemented
18	#40611	C₂	1	4	yes	maximal, complemented
19	#37934	C₂	1	2	yes	maximal, complemented
20	#37932	C₂	1	2	yes	maximal, complemented
21	#37688	C₂	1	2	yes	maximal, complemented
22	#37684	C₂	1	2	yes	maximal, complemented
23	#36728	C₂	1	2	yes	maximal, complemented
24	#35240	C₂	1	1	yes	maximal, characteristic, complemented
25	#35084	C₂	1	1	yes	maximal, characteristic, complemented
26	#34982	C₂	1	2	yes	maximal, complemented
27	C₂×#2534	C₂	1	1	yes	maximal, characteristic
28	C₂×#563	C₂²	1	2	yes	complemented
29	C₂×#551	C₂²	1	2	yes	—
30	C₂×#543	C₂²	1	2	yes	—
31	C₂×#533	C₂²	1	1	yes	characteristic, complemented
32	C₂²×#123	C₂²	1	1	yes	characteristic
33	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#120	C₂²	1	1	yes	characteristic
35	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
36	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
37	#2855	C₂²	1	2	yes	complemented
38	#2848	C₂²	1	2	yes	—
39	#2848	C₂²	1	2	yes	—
40	#2848	C₂²	1	4	yes	—
41	#2848	C₂²	1	2	yes	complemented
42	#2841	C₂²	1	4	yes	complemented
43	#2841	C₂²	1	2	yes	complemented
44	#2841	C₂²	1	4	yes	complemented
45	#2827	C₂²	1	4	yes	complemented
46	#2827	C₂²	1	4	yes	complemented
47	#2817	C₂²	1	2	yes	complemented
48	#2814	C₂²	1	4	yes	complemented
49	#2790	C₂²	1	4	yes	complemented
50	#2790	C₂²	1	4	yes	complemented
51	#2788	C₂²	1	4	yes	complemented
52	#2771	C₂²	1	2	yes	complemented
53	#2768	C₂²	1	4	yes	complemented
54	#2765	C₂²	1	4	yes	complemented
55	#2765	C₂²	1	4	yes	complemented
56	#2764	C₂²	1	4	yes	complemented
57	#2764	C₂²	1	2	yes	complemented
58	#2750	C₂²	1	4	yes	complemented
59	#2747	C₂²	1	4	yes	complemented
60	#2747	C₂²	1	4	yes	complemented
61	#2746	C₂²	1	4	yes	complemented
62	#2745	C₂²	1	4	yes	complemented
63	#2744	C₂²	1	4	yes	complemented
64	#2743	C₂²	1	4	yes	complemented
65	#2743	C₂²	1	4	yes	complemented
66	#2740	C₂²	1	4	yes	complemented
67	#2738	C₂²	1	4	yes	complemented
68	#2738	C₂²	1	4	yes	complemented
69	#2737	C₂²	1	4	yes	complemented
70	#2736	C₂²	1	2	yes	complemented
71	#2735	C₂²	1	2	yes	complemented
72	#2735	C₂²	1	4	yes	complemented
73	#2732	C₂²	1	4	yes	complemented
74	#2729	C₂²	1	4	yes	complemented
75	#2729	C₂²	1	4	yes	complemented
76	#2724	C₂²	1	2	yes	complemented
77	#2722	C₂²	1	4	yes	complemented
78	#2722	C₂²	1	4	yes	complemented
79	#2720	C₂²	1	4	yes	complemented
80	#2720	C₂²	1	4	yes	complemented
81	#2718	C₂²	1	4	yes	complemented
82	#2717	C₂²	1	2	yes	complemented
83	#2707	C₂²	1	4	yes	complemented
84	#2707	C₂²	1	4	yes	complemented
85	#2704	C₂²	1	4	yes	complemented
86	#2704	C₂²	1	4	yes	complemented
87	#2704	C₂²	1	4	yes	complemented
88	#2704	C₂²	1	4	yes	complemented
89	#2704	C₂²	1	4	yes	complemented
90	#2698	C₂²	1	4	yes	complemented
91	#2697	C₂²	1	2	yes	—
92	#2695	C₂²	1	4	yes	complemented
93	#2695	C₂²	1	4	yes	complemented
94	#2695	C₂²	1	4	yes	complemented
95	#2694	C₂²	1	4	yes	complemented
96	#2692	C₂²	1	4	yes	complemented
97	#2692	C₂²	1	4	yes	complemented
98	#2690	C₂²	1	4	yes	complemented
99	#2690	C₂²	1	4	yes	complemented
100	#2689	C₂²	1	4	yes	complemented
101	#2687	C₂²	1	4	yes	complemented
102	#2687	C₂²	1	4	yes	complemented
103	#2685	C₂²	1	4	yes	—
104	#2684	C₂²	1	2	yes	—
105	#2683	C₂²	1	4	yes	complemented
106	#2680	C₂²	1	4	yes	complemented
107	#2677	C₂²	1	4	yes	complemented
108	#2674	C₂²	1	4	yes	complemented
109	#2667	C₂²	1	4	yes	complemented
110	#2665	C₂²	1	4	yes	complemented
111	#2659	C₂²	1	2	yes	complemented
112	#2653	C₂²	1	4	yes	complemented
113	#2649	C₂²	1	4	yes	complemented
114	#2646	C₂²	1	2	yes	complemented
115	#2638	C₂²	1	4	yes	complemented
116	#2638	C₂²	1	2	yes	complemented
117	#2638	C₂²	1	2	yes	complemented
118	#2633	C₂²	1	2	yes	complemented
119	#2633	C₂²	1	4	yes	complemented
120	#2633	C₂²	1	2	yes	complemented
121	#2629	C₂²	1	4	yes	complemented
122	#2629	C₂²	1	4	yes	complemented
123	#2626	C₂²	1	2	yes	—
124	#2626	C₂²	1	2	yes	—
125	#2626	C₂²	1	4	yes	—
126	#2611	C₂²	1	4	yes	complemented
127	#2609	C₂²	1	4	yes	complemented
128	#2583	C₂²	1	2	yes	complemented
129	#2573	C₂²	1	4	yes	complemented
130	#2561	C₂²	1	2	yes	—
131	#2561	C₂²	1	4	yes	complemented
132	#2553	C₂²	1	4	yes	complemented
133	#2549	C₂²	1	4	yes	complemented
134	#2547	C₂²	1	1	yes	characteristic, complemented
135	#2547	C₂²	1	1	yes	characteristic, complemented
136	#2542	C₂²	1	1	yes	characteristic, complemented
137	#2542	C₂²	1	1	yes	characteristic, complemented
138	#2536	C₂²	1	2	yes	complemented
139	#2536	C₂²	1	2	yes	complemented
140	#2534	C₂²	1	2	yes	—
141	#2534	C₂²	1	2	yes	—
142	#2534	C₂²	1	2	yes	—
143	#2534	C₂²	1	2	yes	—
144	#2534	C₂²	1	2	yes	—
145	#2534	C₂²	1	2	yes	—
146	#2534	C₂²	1	2	yes	—
147	#2534	C₂²	1	2	yes	—
148	#2534	C₂²	1	4	yes	—
149	#2527	C₂²	1	4	yes	complemented
150	#2505	C₂²	1	4	yes	complemented
151	#2502	C₂²	1	2	yes	complemented
152	#2493	C₂²	1	4	yes	complemented
153	#2486	C₂²	1	1	yes	characteristic, complemented
154	#2486	C₂²	1	1	yes	characteristic, complemented
155	#2483	C₂²	1	4	yes	—
156	#2483	C₂²	1	2	yes	complemented
157	#2483	C₂²	1	2	yes	complemented
158	#2482	C₂²	1	2	yes	—
159	#2482	C₂²	1	4	yes	complemented
160	#2482	C₂²	1	2	yes	complemented
161	#2480	C₂²	1	4	yes	—
162	#2480	C₂²	1	4	yes	—
163	#2480	C₂²	1	4	yes	complemented
164	#2480	C₂²	1	4	yes	complemented
165	#2480	C₂²	1	4	yes	complemented
166	#2477	C₂²	1	4	yes	complemented
167	#2475	C₂²	1	4	yes	complemented
168	#2473	C₂²	1	4	yes	complemented
169	#2473	C₂²	1	4	yes	complemented
170	#2473	C₂²	1	4	yes	complemented
171	#2472	C₂²	1	4	yes	—
172	#2470	C₂²	1	4	yes	complemented
173	#2466	C₂²	1	4	yes	complemented
174	#2465	C₂²	1	4	yes	complemented
175	#2465	C₂²	1	4	yes	complemented
176	#2460	C₂²	1	4	yes	complemented
177	#2449	C₂²	1	4	yes	complemented
178	#2449	C₂²	1	4	yes	complemented
179	#2441	C₂²	1	4	yes	complemented
180	#2440	C₂²	1	4	yes	complemented
181	#2439	C₂²	1	4	yes	complemented
182	#2438	C₂²	1	4	yes	complemented
183	#2437	C₂²	1	4	yes	—
184	#2437	C₂²	1	4	yes	—
185	#2437	C₂²	1	4	yes	complemented
186	#2437	C₂²	1	4	yes	complemented
187	#2437	C₂²	1	2	yes	complemented
188	#2437	C₂²	1	4	yes	complemented
189	#2437	C₂²	1	4	yes	complemented
190	#2437	C₂²	1	4	yes	complemented
191	#2437	C₂²	1	4	yes	complemented
192	#2437	C₂²	1	4	yes	complemented
193	#2437	C₂²	1	4	yes	complemented
194	#2437	C₂²	1	4	yes	complemented
195	#2435	C₂²	1	2	yes	—
196	#2429	C₂²	1	4	yes	complemented
197	#2423	C₂²	1	4	yes	complemented
198	#2418	C₂²	1	4	yes	—
199	#2417	C₂²	1	4	yes	complemented
200	#2415	C₂²	1	2	yes	complemented
201	#2415	C₂²	1	2	yes	complemented
202	#2412	C₂²	1	4	yes	—
203	#2411	C₂²	1	4	yes	—
204	#2409	C₂²	1	1	yes	characteristic, complemented
205	#2409	C₂²	1	1	yes	characteristic, complemented
206	#2409	C₂²	1	4	yes	complemented
207	#2405	C₂²	1	2	yes	—
208	#2405	C₂²	1	4	yes	—
209	C₂×#396	C₂²	1	2	yes	—
210	C₂×#394	C₂²	1	2	yes	—
211	#2378	C₂²	1	4	yes	complemented
212	#2376	C₂²	1	2	yes	complemented
213	#2358	C₂²	1	2	yes	—
214	#2342	C₂²	1	4	yes	—
215	#2342	C₂²	1	4	yes	—
216	#2342	C₂²	1	4	yes	—
217	#2342	C₂²	1	4	yes	complemented
218	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
219	#2329	C₂²	1	2	yes	complemented
220	#2329	C₂²	1	2	yes	complemented
221	#2326	C₂²	1	2	yes	complemented
222	#2326	C₂²	1	2	yes	complemented
223	#2322	C₂²	1	2	yes	complemented
224	#2322	C₂²	1	2	yes	complemented
225	#2315	C₂²	1	2	yes	—
226	#2315	C₂²	1	4	yes	—
227	C₂×#388	C₂²	1	2	yes	—
228	C₂×#386	C₂²	1	2	yes	—
229	#2283	C₂²	1	1	yes	characteristic, complemented
230	#2280	C₂²	1	1	yes	characteristic, complemented
231	C₂×#381	C₂²	1	1	yes	characteristic
232	C₂×#380	C₂²	1	1	yes	characteristic
233	C₂×#379	C₂²	1	1	yes	characteristic
234	C₂×#379	C₂²	1	4	yes	—
235	C₂⁶	C₂³	1	1	yes	characteristic
236	C₂³×Q₈	C₂³	1	1	yes	characteristic, complemented
237	C₂³×D₄	C₂³	1	1	yes	characteristic
238	C₂³×D₄	C₂³	1	2	yes	—
239	C₂⁴×C₄	C₂³	1	1	yes	characteristic
240	C₂⁴×C₄	C₂³	1	1	yes	characteristic
241	C₂⁴×C₄	C₂³	1	1	yes	characteristic
242	#563	—	4	8	no	—
243	#551	—	4	8	no	—
244	#543	—	4	8	no	—
245	#533	—	4	4	no	—
246	C₂×C₄⋊Q₈	C₂³	1	4	yes	complemented
247	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
248	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
249	C₂×#126	C₂³	1	4	yes	—
250	C₂×#126	C₂³	1	4	yes	—
251	C₂×#126	C₂³	1	4	yes	complemented
252	C₂×#125	C₂³	1	4	yes	complemented
253	C₂×#125	C₂³	1	2	yes	complemented
254	C₂×#125	C₂³	1	4	yes	complemented
255	C₂×#125	C₂³	1	4	yes	complemented
256	C₂×#124	C₂³	1	2	yes	—
257	C₂×#124	C₂³	1	2	yes	—
258	C₂×#123	—	4	4	no	—
259	C₂×#123	C₂³	1	2	yes	—
260	C₂×#123	C₂³	1	2	yes	—
261	C₂×#123	C₂³	1	2	yes	—
262	C₂×#123	C₂³	1	4	yes	—
263	C₂×#123	C₂³	1	2	yes	—
264	C₂×#123	C₂³	1	2	yes	—
265	C₂×#123	C₂³	1	2	yes	—
266	C₂×#123	C₂³	1	4	yes	—
267	C₂×C₂²⋊Q₈	—	4	4	no	—
268	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
269	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
270	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
271	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
272	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
273	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
274	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
275	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
276	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
277	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
278	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
279	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
280	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
281	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
282	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
283	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
284	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
285	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
286	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
287	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
288	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
289	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
290	C₂×#120	—	4	4	no	—
291	C₂×#120	C₂³	1	2	yes	—
292	C₂×#120	C₂³	1	2	yes	—
293	C₂×#120	C₂³	1	2	yes	—
294	C₂×#120	C₂³	1	2	yes	—
295	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
296	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
297	C₂×C₄×D₄	—	4	4	no	—
298	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
299	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
300	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
301	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
302	C₂×C₄×D₄	C₂³	1	4	yes	—
303	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
304	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
305	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
306	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
307	C₂×C₄×D₄	C₂³	1	4	yes	—
308	C₂×#117	C₂³	1	2	yes	—
309	C₂×#117	C₂³	1	4	yes	—
310	C₂×#117	C₂³	1	4	yes	—
311	C₂×#117	C₂³	1	2	yes	complemented
312	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
313	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
314	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
315	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
316	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
317	C₂²×C₂²⋊C₄	—	4	4	no	—
318	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
319	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
320	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
321	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
323	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
324	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
325	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
326	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
327	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
329	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
330	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
331	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
332	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
333	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
336	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
337	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
338	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
339	C₂²×C₄²	C₂³	1	1	yes	characteristic
340	#401	C₂³	1	4	yes	complemented
341	#400	C₂³	1	4	yes	complemented
342	#400	C₂³	1	4	yes	complemented
343	#400	C₂³	1	4	yes	complemented
344	#400	C₂³	1	4	yes	complemented
345	#400	C₂³	1	4	yes	complemented
346	#400	C₂³	1	4	yes	complemented
347	#400	C₂³	1	4	yes	complemented
348	#400	C₂³	1	4	yes	complemented
349	#400	C₂³	1	4	yes	complemented
350	#400	C₂³	1	4	yes	complemented
351	#400	C₂³	1	4	yes	complemented
352	#400	C₂³	1	4	yes	complemented
353	#399	C₂³	1	4	yes	—
354	#399	C₂³	1	2	yes	—
355	#399	C₂³	1	4	yes	—
356	#399	C₂³	1	4	yes	—
357	#399	C₂³	1	4	yes	—
358	#399	C₂³	1	4	yes	—
359	#399	C₂³	1	2	yes	—
360	#399	C₂³	1	4	yes	—
361	#399	C₂³	1	2	yes	complemented
362	#399	C₂³	1	4	yes	complemented
363	#399	C₂³	1	2	yes	complemented
364	#398	C₂³	1	4	yes	complemented
365	#398	C₂³	1	4	yes	complemented
366	#398	C₂³	1	4	yes	complemented
367	#398	C₂³	1	4	yes	complemented
368	#398	C₂³	1	2	yes	complemented
369	#398	C₂³	1	2	yes	complemented
370	#398	C₂³	1	4	yes	complemented
371	#398	C₂³	1	4	yes	complemented
372	#398	C₂³	1	4	yes	complemented
373	#398	C₂³	1	4	yes	complemented
374	#398	C₂³	1	4	yes	complemented
375	#398	C₂³	1	4	yes	complemented
376	#398	C₂³	1	4	yes	complemented
377	#398	C₂³	1	4	yes	complemented
378	#398	C₂³	1	4	yes	complemented
379	#398	C₂³	1	4	yes	complemented
380	#398	C₂³	1	4	yes	complemented
381	#398	C₂³	1	4	yes	complemented
382	#398	C₂³	1	4	yes	complemented
383	#398	C₂³	1	4	yes	complemented
384	#398	C₂³	1	4	yes	complemented
385	#398	C₂³	1	4	yes	complemented
386	#398	C₂³	1	4	yes	complemented
387	#398	C₂³	1	4	yes	complemented
388	#397	C₂³	1	2	yes	—
389	#397	C₂³	1	2	yes	—
390	#397	C₂³	1	4	yes	—
391	#397	C₂³	1	4	yes	—
392	#397	C₂³	1	2	yes	—
393	#397	C₂³	1	4	yes	—
394	#397	C₂³	1	4	yes	—
395	#397	C₂³	1	4	yes	—
396	#397	C₂³	1	4	yes	—
397	#397	C₂³	1	2	yes	—
398	#397	C₂³	1	4	yes	—
399	#397	C₂³	1	4	yes	—
400	#397	C₂³	1	4	yes	—
401	#397	C₂³	1	4	yes	—
402	#397	C₂³	1	2	yes	complemented
403	#397	C₂³	1	4	yes	complemented
404	#397	C₂³	1	4	yes	complemented
405	#397	C₂³	1	2	yes	complemented
406	#397	C₂³	1	4	yes	complemented
407	#397	C₂³	1	4	yes	complemented
408	#397	C₂³	1	4	yes	complemented
409	#396	C₂³	1	4	yes	—
410	#396	C₂³	1	4	yes	—
411	#396	C₂³	1	4	yes	—
412	#396	C₂³	1	4	yes	—
413	#396	C₂³	1	4	yes	—
414	#396	C₂³	1	4	yes	—
415	#396	C₂³	1	4	yes	—
416	#396	C₂³	1	4	yes	—
417	#396	C₂³	1	4	yes	—
418	#396	C₂³	1	4	yes	—
419	#396	C₂³	1	4	yes	—
420	#396	C₂³	1	4	yes	—
421	#396	C₂³	1	4	yes	—
422	#396	C₂³	1	4	yes	—
423	#396	C₂³	1	4	yes	—
424	#396	C₂³	1	4	yes	—
425	#396	C₂³	1	4	yes	—
426	#396	C₂³	1	4	yes	—
427	#396	C₂³	1	4	yes	complemented
428	#396	C₂³	1	4	yes	complemented
429	#396	C₂³	1	4	yes	complemented
430	#395	C₂³	1	4	yes	complemented
431	#395	C₂³	1	4	yes	complemented
432	#395	C₂³	1	2	yes	complemented
433	#395	C₂³	1	2	yes	complemented
434	#395	C₂³	1	4	yes	complemented
435	#395	C₂³	1	4	yes	complemented
436	#395	C₂³	1	4	yes	complemented
437	#395	C₂³	1	4	yes	complemented
438	#395	C₂³	1	4	yes	complemented
439	#394	C₂³	1	4	yes	—
440	#394	C₂³	1	4	yes	—
441	#394	C₂³	1	4	yes	—
442	#394	C₂³	1	4	yes	—
443	#394	C₂³	1	4	yes	—
444	#394	C₂³	1	4	yes	—
445	#394	C₂³	1	4	yes	—
446	#394	C₂³	1	4	yes	—
447	#394	C₂³	1	4	yes	—
448	#394	C₂³	1	4	yes	—
449	#394	C₂³	1	4	yes	—
450	#394	C₂³	1	4	yes	—
451	#393	C₂³	1	2	yes	—
452	#393	C₂³	1	2	yes	—
453	#393	C₂³	1	4	yes	—
454	#393	C₂³	1	4	yes	—
455	#393	C₂³	1	4	yes	—
456	#393	C₂³	1	4	yes	—
457	#393	C₂³	1	4	yes	—
458	#393	C₂³	1	4	yes	—
459	#393	C₂³	1	4	yes	complemented
460	#391	C₂³	1	2	yes	complemented
461	#391	C₂³	1	2	yes	complemented
462	#391	C₂³	1	4	yes	complemented
463	#391	C₂³	1	4	yes	complemented
464	#391	C₂³	1	2	yes	complemented
465	#391	C₂³	1	2	yes	complemented
466	#391	C₂³	1	4	yes	complemented
467	#391	C₂³	1	4	yes	complemented
468	#391	C₂³	1	4	yes	complemented
469	#390	C₂³	1	2	yes	—
470	#390	C₂³	1	2	yes	—
471	#390	C₂³	1	4	yes	—
472	#390	C₂³	1	4	yes	—
473	#389	C₂³	1	4	yes	complemented
474	#389	C₂³	1	4	yes	complemented
475	#389	C₂³	1	4	yes	complemented
476	#389	C₂³	1	4	yes	complemented
477	#389	C₂³	1	4	yes	complemented
478	#389	C₂³	1	2	yes	complemented
479	#389	C₂³	1	2	yes	complemented
480	#389	C₂³	1	4	yes	complemented
481	#389	C₂³	1	4	yes	complemented
482	#389	C₂³	1	4	yes	complemented
483	#389	C₂³	1	4	yes	complemented
484	#389	C₂³	1	4	yes	complemented
485	#389	C₂³	1	4	yes	complemented
486	#389	C₂³	1	4	yes	complemented
487	#389	C₂³	1	4	yes	complemented
488	#388	C₂³	1	4	yes	—
489	#388	C₂³	1	4	yes	—
490	#388	C₂³	1	4	yes	—
491	#388	C₂³	1	4	yes	—
492	#388	C₂³	1	4	yes	—
493	#388	C₂³	1	4	yes	—
494	#388	C₂³	1	4	yes	—
495	#388	C₂³	1	4	yes	—
496	#388	C₂³	1	4	yes	—
497	#388	C₂³	1	4	yes	—
498	#388	C₂³	1	4	yes	—
499	#388	C₂³	1	4	yes	—
500	#388	C₂³	1	4	yes	—
501	#388	C₂³	1	4	yes	—
502	#388	C₂³	1	4	yes	—
503	#388	C₂³	1	4	yes	—
504	#388	C₂³	1	4	yes	—
505	#388	C₂³	1	4	yes	—
506	#388	C₂³	1	4	yes	—
507	#388	C₂³	1	4	yes	—
508	#388	C₂³	1	4	yes	—
509	#388	C₂³	1	4	yes	—
510	#388	C₂³	1	4	yes	—
511	#388	C₂³	1	4	yes	—
512	#388	C₂³	1	4	yes	—
513	#388	C₂³	1	4	yes	—
514	#388	C₂³	1	4	yes	complemented
515	#388	C₂³	1	4	yes	complemented
516	#388	C₂³	1	4	yes	complemented
517	#388	C₂³	1	4	yes	complemented
518	#388	C₂³	1	4	yes	complemented
519	#387	C₂³	1	4	yes	complemented
520	#387	C₂³	1	4	yes	complemented
521	#387	C₂³	1	4	yes	complemented
522	#387	C₂³	1	4	yes	complemented
523	#387	C₂³	1	4	yes	complemented
524	#387	C₂³	1	4	yes	complemented
525	#387	C₂³	1	4	yes	complemented
526	#387	C₂³	1	4	yes	complemented
527	#387	C₂³	1	4	yes	complemented
528	#387	C₂³	1	4	yes	complemented
529	#387	C₂³	1	4	yes	complemented
530	#387	C₂³	1	4	yes	complemented
531	#387	C₂³	1	4	yes	complemented
532	#387	C₂³	1	4	yes	complemented
533	#387	C₂³	1	4	yes	complemented
534	#387	C₂³	1	4	yes	complemented
535	#387	C₂³	1	4	yes	complemented
536	#387	C₂³	1	4	yes	complemented
537	#387	C₂³	1	4	yes	complemented
538	#386	C₂³	1	4	yes	—
539	#386	C₂³	1	4	yes	—
540	#386	C₂³	1	2	yes	—
541	#386	C₂³	1	2	yes	—
542	#386	C₂³	1	4	yes	—
543	#386	C₂³	1	4	yes	—
544	#386	C₂³	1	4	yes	—
545	#386	C₂³	1	4	yes	—
546	#386	C₂³	1	4	yes	—
547	#386	C₂³	1	4	yes	—
548	#386	C₂³	1	4	yes	—
549	#386	C₂³	1	4	yes	—
550	#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	—
558	#385	C₂³	1	4	yes	—
559	#385	C₂³	1	4	yes	—
560	#385	C₂³	1	4	yes	—
561	#385	C₂³	1	4	yes	—
562	#385	C₂³	1	4	yes	—
563	#385	C₂³	1	4	yes	—
564	#385	C₂³	1	4	yes	—
565	#385	C₂³	1	4	yes	—
566	#385	C₂³	1	4	yes	—
567	#385	C₂³	1	4	yes	—
568	#385	C₂³	1	4	yes	—
569	#385	C₂³	1	4	yes	—
570	#385	C₂³	1	4	yes	—
571	#385	C₂³	1	4	yes	—
572	#385	C₂³	1	4	yes	—
573	#385	C₂³	1	4	yes	—
574	#385	C₂³	1	4	yes	—
575	#385	C₂³	1	4	yes	—
576	#385	C₂³	1	4	yes	—
577	#385	C₂³	1	4	yes	—
578	#385	C₂³	1	4	yes	—
579	#385	C₂³	1	4	yes	—
580	#385	C₂³	1	4	yes	—
581	#385	C₂³	1	4	yes	—
582	#385	C₂³	1	4	yes	—
583	#385	C₂³	1	4	yes	—
584	#385	C₂³	1	2	yes	complemented
585	#385	C₂³	1	2	yes	complemented
586	#385	C₂³	1	4	yes	complemented
587	#385	C₂³	1	4	yes	complemented
588	#385	C₂³	1	4	yes	complemented
589	#385	C₂³	1	4	yes	complemented
590	#384	C₂³	1	2	yes	complemented
591	#384	C₂³	1	2	yes	complemented
592	#384	C₂³	1	4	yes	complemented
593	#383	C₂³	1	4	yes	complemented
594	#383	C₂³	1	2	yes	complemented
595	#382	C₂³	1	4	yes	complemented
596	#382	C₂³	1	2	yes	complemented
597	#381	C₂³	1	4	yes	—
598	#381	C₂³	1	4	yes	—
599	#381	C₂³	1	4	yes	—
600	#381	C₂³	1	2	yes	—
601	#381	C₂³	1	4	yes	—
602	#381	C₂³	1	4	yes	—
603	#381	C₂³	1	2	yes	—
604	#381	C₂³	1	2	yes	—
605	#381	C₂³	1	2	yes	—
606	#381	C₂³	1	2	yes	—
607	#381	C₂³	1	2	yes	complemented
608	#381	C₂³	1	2	yes	complemented
609	#381	C₂³	1	2	yes	complemented
610	#380	C₂³	1	2	yes	—
611	#380	C₂³	1	2	yes	—
612	#380	C₂³	1	4	yes	—
613	#380	C₂³	1	4	yes	—
614	#380	C₂³	1	4	yes	—
615	#380	C₂³	1	4	yes	—
616	#380	C₂³	1	4	yes	—
617	#380	C₂³	1	4	yes	—
618	#380	C₂³	1	4	yes	—
619	#380	C₂³	1	4	yes	—
620	#380	C₂³	1	4	yes	—
621	#380	C₂³	1	2	yes	—
622	#380	C₂³	1	2	yes	—
623	#380	C₂³	1	2	yes	—
624	#380	C₂³	1	2	yes	—
625	#380	C₂³	1	4	yes	—
626	#380	C₂³	1	4	yes	—
627	#380	C₂³	1	4	yes	—
628	#380	C₂³	1	4	yes	—
629	#380	C₂³	1	2	yes	—
630	#380	C₂³	1	2	yes	—
631	#380	C₂³	1	2	yes	—
632	#380	C₂³	1	2	yes	—
633	#380	C₂³	1	2	yes	complemented
634	#380	C₂³	1	2	yes	complemented
635	#380	C₂³	1	4	yes	complemented
636	#380	C₂³	1	1	yes	characteristic, complemented
637	#380	C₂³	1	1	yes	characteristic, complemented
638	#379	C₂³	1	4	yes	—
639	#379	C₂³	1	2	yes	—
640	#379	C₂³	1	4	yes	—
641	#379	C₂³	1	4	yes	—
642	#379	C₂³	1	4	yes	—
643	#379	C₂³	1	4	yes	—
644	#379	C₂³	1	4	yes	—
645	#379	C₂³	1	2	yes	—
646	#379	C₂³	1	2	yes	—
647	#379	C₂³	1	4	yes	—
648	#379	C₂³	1	4	yes	—
649	#379	C₂³	1	4	yes	—
650	#379	C₂³	1	2	yes	—
651	#379	C₂³	1	2	yes	—
652	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
653	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
654	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
655	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
656	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
657	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
658	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
659	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
660	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
661	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
662	C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
663	#376	C₂³	1	2	yes	complemented
664	C₂×#95	C₂³	1	2	yes	—
665	C₂×#95	C₂³	1	2	yes	—
666	C₂×#95	C₂³	1	2	yes	—
667	C₂⁵	—	2	8	no	—
668	C₂⁵	—	4	2	no	—
669	C₂⁵	—	4	2	no	—
670	C₂⁵	—	4	2	no	—
671	C₂⁵	—	8	2	no	—
672	C₂⁵	C₂⁴	1	1	yes	characteristic
673	C₂⁵	C₂⁴	1	1	yes	characteristic
674	C₂⁵	C₂⁴	1	2	yes	—
675	C₂⁵	C₂⁴	1	2	yes	—
676	C₂⁵	C₂⁴	1	2	yes	—
677	C₂²×Q₈	—	4	2	no	—
678	C₂²×Q₈	—	8	2	no	—
679	C₂²×Q₈	C₂⁴	1	2	yes	—
680	C₂²×Q₈	C₂⁴	1	2	yes	—
681	C₂²×Q₈	C₂⁴	1	2	yes	—
682	C₂²×Q₈	C₂⁴	1	4	yes	—
683	C₂²×Q₈	C₂⁴	1	2	yes	—
684	C₂²×D₄	—	2	8	no	—
685	C₂²×D₄	—	2	4	no	—
686	C₂²×D₄	—	4	2	no	—
687	C₂²×D₄	—	4	2	no	—
688	C₂²×D₄	—	4	4	no	—
689	C₂²×D₄	—	8	2	no	—
690	C₂²×D₄	C₂⁴	1	1	yes	characteristic
691	C₂²×D₄	C₂⁴	1	1	yes	characteristic
692	C₂²×D₄	C₂⁴	1	4	yes	—
693	C₂²×D₄	C₂⁴	1	1	yes	characteristic
694	C₂²×D₄	C₂⁴	1	4	yes	—
695	C₂²×D₄	C₂⁴	1	1	yes	characteristic
696	C₂³×C₄	—	2	4	no	—
697	C₂³×C₄	—	2	4	no	—
698	C₂³×C₄	—	4	2	no	—
699	C₂³×C₄	—	4	2	no	—
700	C₂³×C₄	—	4	2	no	—
701	C₂³×C₄	—	8	2	no	—
702	C₂³×C₄	—	8	2	no	—
703	C₂³×C₄	C₂⁴	1	1	yes	characteristic
704	C₂³×C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
709	C₂³×C₄	C₂⁴	1	4	yes	—
710	C₂³×C₄	C₂⁴	1	4	yes	—
711	C₂³×C₄	C₂⁴	1	2	yes	—
712	C₂³×C₄	C₂⁴	1	1	yes	characteristic
713	C₂³×C₄	C₂⁴	1	1	yes	characteristic
714	C₂³×C₄	C₂⁴	1	1	yes	characteristic
715	C₂³×C₄	C₂⁴	1	1	yes	characteristic
716	C₂³×C₄	C₂⁴	1	2	yes	—
717	C₂³×C₄	C₂⁴	1	2	yes	—
718	C₂³×C₄	C₂⁴	1	2	yes	—
719	C₂³×C₄	C₂⁴	1	1	yes	characteristic
720	C₂³×C₄	C₂⁴	1	1	yes	characteristic
721	C₂³×C₄	C₂⁴	1	1	yes	characteristic
722	C₂³×C₄	C₂⁴	1	1	yes	characteristic
723	C₂³×C₄	C₂⁴	1	4	yes	—
724	C₂³×C₄	C₂⁴	1	4	yes	—
725	C₂³×C₄	C₂⁴	1	2	yes	—
726	C₂³×C₄	C₂⁴	1	1	yes	characteristic
727	C₄⋊Q₈	—	4	2	no	—
728	C₄⋊Q₈	—	4	2	no	—
729	C₄⋊Q₈	—	4	8	no	—
730	#126	—	4	8	no	—
731	#126	—	4	8	no	—
732	#126	—	4	8	no	—
733	#125	—	4	4	no	—
734	#125	—	4	8	no	—
735	#125	—	8	4	no	—
736	#125	—	8	4	no	—
737	#124	—	2	8	no	—
738	#124	—	4	4	no	—
739	#123	—	2	8	no	—
740	#123	—	2	8	no	—
741	#123	—	4	4	no	—
742	#123	—	4	4	no	—
743	#123	—	4	8	no	—
744	#123	—	4	4	no	—
745	#123	—	4	4	no	—
746	#123	—	8	4	no	—
747	C₂²⋊Q₈	—	2	8	no	—
748	C₂²⋊Q₈	—	2	8	no	—
749	C₂²⋊Q₈	—	4	4	no	—
750	C₂²⋊Q₈	—	4	8	no	—
751	C₂²⋊Q₈	—	4	4	no	—
752	C₂²⋊Q₈	—	4	8	no	—
753	C₂²⋊Q₈	—	4	8	no	—
754	C₂²⋊Q₈	—	4	8	no	—
755	C₂²⋊Q₈	—	4	8	no	—
756	C₂²⋊Q₈	—	4	8	no	—
757	C₂²⋊Q₈	—	4	8	no	—
758	C₂²⋊Q₈	—	4	8	no	—
759	C₂²⋊Q₈	—	4	8	no	—
760	C₂²⋊Q₈	—	4	4	no	—
761	C₂²⋊Q₈	—	4	4	no	—
762	C₂²⋊Q₈	—	8	2	no	—
763	C₂²⋊Q₈	—	8	2	no	—
764	C₂²⋊Q₈	—	8	2	no	—
765	C₂²⋊Q₈	—	8	2	no	—
766	C₂²⋊Q₈	—	8	4	no	—
767	C₂²⋊Q₈	—	8	2	no	—
768	C₂²⋊Q₈	—	8	2	no	—
769	#120	—	2	8	no	—
770	#120	—	4	4	no	—
771	#120	—	4	4	no	—
772	#120	—	4	4	no	—
773	C₄×Q₈	—	4	4	no	—
774	C₄×Q₈	—	4	4	no	—
775	C₄×D₄	—	4	2	no	—
776	C₄×D₄	—	4	2	no	—
777	C₄×D₄	—	4	2	no	—
778	C₄×D₄	—	4	2	no	—
779	C₄×D₄	—	4	2	no	—
780	C₄×D₄	—	4	2	no	—
781	C₄×D₄	—	4	2	no	—
782	C₄×D₄	—	4	2	no	—
783	C₄×D₄	—	4	8	no	—
784	C₄×D₄	—	8	4	no	—
785	#117	—	4	8	no	—
786	#117	—	4	4	no	—
787	#117	—	8	4	no	—
788	#117	—	8	2	no	—
789	C₂×C₄⋊C₄	—	4	4	no	—
790	C₂×C₄⋊C₄	—	4	2	no	—
791	C₂×C₄⋊C₄	—	4	4	no	—
792	C₂×C₄⋊C₄	—	4	2	no	—
793	C₂×C₄⋊C₄	—	8	2	no	—
794	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
795	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
796	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
797	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
798	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
799	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
800	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
801	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
802	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
803	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
804	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
805	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
806	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
807	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
808	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
809	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
810	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
812	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
813	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
814	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
815	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
816	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
817	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
818	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
819	C₂×C₄⋊C₄	C₂⁴	1	2	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	2	yes	—
825	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
826	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
827	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
828	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
829	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
830	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
831	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
832	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
833	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
834	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
835	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
836	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
837	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
838	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
839	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
840	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
841	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
842	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
843	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
844	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
845	C₂×C₂²⋊C₄	—	2	8	no	—
846	C₂×C₂²⋊C₄	—	2	16	no	—
847	C₂×C₂²⋊C₄	—	2	8	no	—
848	C₂×C₂²⋊C₄	—	4	4	no	—
849	C₂×C₂²⋊C₄	—	4	4	no	—
850	C₂×C₂²⋊C₄	—	4	4	no	—
851	C₂×C₂²⋊C₄	—	4	4	no	—
852	C₂×C₂²⋊C₄	—	4	4	no	—
853	C₂×C₂²⋊C₄	—	4	8	no	—
854	C₂×C₂²⋊C₄	—	4	2	no	—
855	C₂×C₂²⋊C₄	—	4	4	no	—
856	C₂×C₂²⋊C₄	—	4	4	no	—
857	C₂×C₂²⋊C₄	—	4	2	no	—
858	C₂×C₂²⋊C₄	—	4	8	no	—
859	C₂×C₂²⋊C₄	—	4	8	no	—
860	C₂×C₂²⋊C₄	—	4	4	no	—
861	C₂×C₂²⋊C₄	—	4	2	no	—
862	C₂×C₂²⋊C₄	—	4	2	no	—
863	C₂×C₂²⋊C₄	—	8	2	no	—
864	C₂×C₂²⋊C₄	—	8	4	no	—
865	C₂×C₂²⋊C₄	—	8	4	no	—
866	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
867	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
868	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
870	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
871	C₂×C₂²⋊C₄	C₂⁴	1	2	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	2	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	2	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	1	yes	characteristic
892	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
893	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
894	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
895	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
896	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
897	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
898	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
899	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
900	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
901	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
902	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
903	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
904	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
905	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
906	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
907	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
908	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
909	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
910	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
911	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
912	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
913	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
914	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
915	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
916	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
917	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
918	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
919	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
920	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
921	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
922	C₂×C₄²	—	2	4	no	—
923	C₂×C₄²	C₂⁴	1	2	yes	—
924	C₂×C₄²	C₂⁴	1	1	yes	characteristic
925	C₂×C₄²	C₂⁴	1	1	yes	characteristic
926	C₂×C₄²	C₂⁴	1	1	yes	characteristic
927	C₂×C₄²	C₂⁴	1	1	yes	characteristic
928	C₂×C₄²	C₂⁴	1	4	yes	—
929	C₂×C₄²	C₂⁴	1	4	yes	—
930	C₂×C₄²	C₂⁴	1	4	yes	—
931	C₂×C₄²	C₂⁴	1	4	yes	—
932	C₂×C₄²	C₂⁴	1	4	yes	—
933	C₂×C₄²	C₂⁴	1	2	yes	—
934	C₂×C₄²	C₂⁴	1	4	yes	—
935	#95	C₂⁴	1	4	yes	—
936	#95	C₂⁴	1	4	yes	—
937	#95	C₂⁴	1	4	yes	—
938	#95	C₂⁴	1	4	yes	—
939	#95	C₂⁴	1	4	yes	—
940	#95	C₂⁴	1	4	yes	—
941	#95	C₂⁴	1	4	yes	—
942	#95	C₂⁴	1	4	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	2	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	2	yes	—
960	#95	C₂⁴	1	2	yes	—
961	#95	C₂⁴	1	4	yes	—
962	#95	C₂⁴	1	4	yes	—
963	#95	C₂⁴	1	4	yes	—
964	#95	C₂⁴	1	4	yes	—
965	#95	C₂⁴	1	4	yes	—
966	#95	C₂⁴	1	4	yes	—
967	#95	C₂⁴	1	4	yes	—
968	#95	C₂⁴	1	4	yes	—
969	#95	C₂⁴	1	4	yes	—
970	#95	C₂⁴	1	4	yes	—
971	#95	C₂⁴	1	4	yes	—
972	#95	C₂⁴	1	4	yes	—
973	#95	C₂⁴	1	4	yes	—
974	#95	C₂⁴	1	4	yes	—
975	#95	C₂⁴	1	4	yes	—
976	#95	C₂⁴	1	4	yes	—
977	#95	C₂⁴	1	4	yes	—
978	#95	C₂⁴	1	4	yes	—
979	#95	C₂⁴	1	4	yes	—
980	#95	C₂⁴	1	4	yes	—
981	#95	C₂⁴	1	4	yes	—
982	#95	C₂⁴	1	4	yes	—
983	C₂⁴	—	2	2	no	—
984	C₂⁴	—	2	2	no	—
985	C₂⁴	—	2	2	no	—
986	C₂⁴	—	2	4	no	—
987	C₂⁴	—	2	4	no	—
988	C₂⁴	—	2	2	no	—
989	C₂⁴	—	2	4	no	—
990	C₂⁴	—	2	2	no	—
991	C₂⁴	—	2	4	no	—
992	C₂⁴	—	2	4	no	—
993	C₂⁴	—	2	8	no	—
994	C₂⁴	—	2	8	no	—
995	C₂⁴	—	2	4	no	—
996	C₂⁴	—	4	2	no	—
997	C₂⁴	—	4	2	no	—
998	C₂⁴	—	4	2	no	—
999	C₂⁴	—	4	2	no	—
1000	C₂⁴	—	4	2	no	—
1001	C₂⁴	—	4	4	no	—
1002	C₂⁴	—	4	4	no	—
1003	C₂⁴	—	4	2	no	—
1004	C₂⁴	—	4	1	no	—
1005	C₂⁴	—	4	2	no	—
1006	C₂⁴	—	4	2	no	—
1007	C₂⁴	—	4	2	no	—
1008	C₂⁴	—	4	2	no	—
1009	C₂⁴	—	4	16	no	—
1010	C₂⁴	—	8	8	no	—
1011	C₂⁴	—	8	16	no	—
1012	C₂⁴	—	8	16	no	—
1013	C₂⁴	—	8	8	no	—
1014	C₂⁴	2₋¹⁺⁴	1	8	yes	—
1015	C₂⁴	C₂⁵	1	1	yes	characteristic
1016	C₂⁴	C₂⁵	1	1	yes	characteristic
1017	C₂⁴	C₂⁵	1	1	yes	characteristic
1018	C₂⁴	C₂⁵	1	4	yes	—
1019	C₂⁴	C₂⁵	1	1	yes	characteristic
1020	C₂⁴	C₂⁵	1	1	yes	characteristic
1021	C₂×Q₈	—	2	4	no	—
1022	C₂×Q₈	—	2	4	no	—
1023	C₂×Q₈	—	2	4	no	—
1024	C₂×Q₈	—	4	2	no	—
1025	C₂×Q₈	—	4	2	no	—
1026	C₂×Q₈	—	4	2	no	—
1027	C₂×Q₈	—	4	2	no	—
1028	C₂×Q₈	—	4	2	no	—
1029	C₂×Q₈	—	4	2	no	—
1030	C₂×Q₈	—	4	4	no	—
1031	C₂×Q₈	—	4	2	no	—
1032	C₂×Q₈	—	4	4	no	—
1033	C₂×Q₈	—	4	4	no	—
1034	C₂×Q₈	—	4	4	no	—
1035	C₂×Q₈	—	8	8	no	—
1036	C₂×D₄	—	2	8	no	—
1037	C₂×D₄	—	2	2	no	—
1038	C₂×D₄	—	2	2	no	—
1039	C₂×D₄	—	2	8	no	—
1040	C₂×D₄	—	2	2	no	—
1041	C₂×D₄	—	2	2	no	—
1042	C₂×D₄	—	2	8	no	—
1043	C₂×D₄	—	2	2	no	—
1044	C₂×D₄	—	4	1	no	—
1045	C₂×D₄	—	4	1	no	—
1046	C₂×D₄	—	4	1	no	—
1047	C₂×D₄	—	4	1	no	—
1048	C₂×D₄	—	4	4	no	—
1049	C₂×D₄	—	4	1	no	—
1050	C₂×D₄	—	4	1	no	—
1051	C₂×D₄	—	4	4	no	—
1052	C₂×D₄	—	4	4	no	—
1053	C₂×D₄	—	4	16	no	—
1054	C₂×D₄	—	8	16	no	—
1055	C₂×D₄	H(5,𝔽₂)	1	4	yes	—
1056	C₂²×C₄	—	2	2	no	—
1057	C₂²×C₄	—	2	2	no	—
1058	C₂²×C₄	—	2	2	no	—
1059	C₂²×C₄	—	2	4	no	—
1060	C₂²×C₄	—	2	4	no	—
1061	C₂²×C₄	—	2	2	no	—
1062	C₂²×C₄	—	2	4	no	—
1063	C₂²×C₄	—	2	4	no	—
1064	C₂²×C₄	—	2	8	no	—
1065	C₂²×C₄	—	2	8	no	—
1066	C₂²×C₄	—	2	4	no	—
1067	C₂²×C₄	—	2	4	no	—
1068	C₂²×C₄	—	2	4	no	—
1069	C₂²×C₄	—	2	2	no	—
1070	C₂²×C₄	—	2	2	no	—
1071	C₂²×C₄	—	2	2	no	—
1072	C₂²×C₄	—	2	2	no	—
1073	C₂²×C₄	—	2	2	no	—
1074	C₂²×C₄	—	2	2	no	—
1075	C₂²×C₄	—	2	2	no	—
1076	C₂²×C₄	—	2	2	no	—
1077	C₂²×C₄	—	2	2	no	—
1078	C₂²×C₄	—	4	2	no	—
1079	C₂²×C₄	—	4	2	no	—
1080	C₂²×C₄	—	4	2	no	—
1081	C₂²×C₄	—	4	2	no	—
1082	C₂²×C₄	—	4	1	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	2	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	4	no	—
1094	C₂²×C₄	—	4	4	no	—
1095	C₂²×C₄	—	4	2	no	—
1096	C₂²×C₄	—	4	2	no	—
1097	C₂²×C₄	—	4	4	no	—
1098	C₂²×C₄	—	4	2	no	—
1099	C₂²×C₄	—	4	2	no	—
1100	C₂²×C₄	—	4	2	no	—
1101	C₂²×C₄	—	4	2	no	—
1102	C₂²×C₄	—	4	2	no	—
1103	C₂²×C₄	—	4	2	no	—
1104	C₂²×C₄	—	4	2	no	—
1105	C₂²×C₄	—	4	2	no	—
1106	C₂²×C₄	—	4	2	no	—
1107	C₂²×C₄	—	4	2	no	—
1108	C₂²×C₄	—	4	4	no	—
1109	C₂²×C₄	—	4	4	no	—
1110	C₂²×C₄	—	4	4	no	—
1111	C₂²×C₄	—	4	4	no	—
1112	C₂²×C₄	—	4	4	no	—
1113	C₂²×C₄	—	4	4	no	—
1114	C₂²×C₄	—	8	8	no	—
1115	C₂²×C₄	—	8	8	no	—
1116	C₂²×C₄	—	8	8	no	—
1117	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1118	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1119	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1120	C₂²×C₄	C₂⁵	1	4	yes	—
1121	C₂²×C₄	C₂⁵	1	4	yes	—
1122	C₂²×C₄	C₂⁵	1	4	yes	—
1123	C₂²×C₄	C₂⁵	1	1	yes	characteristic
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	4	yes	—
1129	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1130	C₂²×C₄	C₂⁵	1	4	yes	—
1131	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1132	C₂²×C₄	C₂⁵	1	4	yes	—
1133	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1134	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1135	C₂²×C₄	C₂⁵	1	4	yes	—
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	C₄⋊C₄	—	2	4	no	—
1140	C₄⋊C₄	—	2	8	no	—
1141	C₄⋊C₄	—	2	8	no	—
1142	C₄⋊C₄	—	2	8	no	—
1143	C₄⋊C₄	—	2	8	no	—
1144	C₄⋊C₄	—	2	4	no	—
1145	C₄⋊C₄	—	4	1	no	—
1146	C₄⋊C₄	—	4	1	no	—
1147	C₄⋊C₄	—	4	1	no	—
1148	C₄⋊C₄	—	4	1	no	—
1149	C₄⋊C₄	—	4	2	no	—
1150	C₄⋊C₄	—	4	4	no	—
1151	C₄⋊C₄	—	4	4	no	—
1152	C₄⋊C₄	—	4	4	no	—
1153	C₄⋊C₄	—	4	4	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	4	no	—
1160	C₄⋊C₄	—	4	4	no	—
1161	C₄⋊C₄	—	4	4	no	—
1162	C₄⋊C₄	—	4	4	no	—
1163	C₄⋊C₄	—	4	4	no	—
1164	C₄⋊C₄	—	4	2	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	2	no	—
1178	C₄⋊C₄	—	4	2	no	—
1179	C₄⋊C₄	—	4	4	no	—
1180	C₄⋊C₄	—	4	4	no	—
1181	C₄⋊C₄	—	4	4	no	—
1182	C₄⋊C₄	—	4	4	no	—
1183	C₄⋊C₄	—	4	4	no	—
1184	C₄⋊C₄	—	4	4	no	—
1185	C₄⋊C₄	—	4	4	no	—
1186	C₄⋊C₄	—	4	4	no	—
1187	C₄⋊C₄	—	4	4	no	—
1188	C₄⋊C₄	—	4	4	no	—
1189	C₄⋊C₄	—	4	4	no	—
1190	C₂²⋊C₄	—	2	8	no	—
1191	C₂²⋊C₄	—	2	8	no	—
1192	C₂²⋊C₄	—	2	4	no	—
1193	C₂²⋊C₄	—	2	8	no	—
1194	C₂²⋊C₄	—	2	8	no	—
1195	C₂²⋊C₄	—	2	8	no	—
1196	C₂²⋊C₄	—	2	4	no	—
1197	C₂²⋊C₄	—	2	8	no	—
1198	C₂²⋊C₄	—	2	4	no	—
1199	C₂²⋊C₄	—	2	8	no	—
1200	C₂²⋊C₄	—	2	8	no	—
1201	C₂²⋊C₄	—	2	8	no	—
1202	C₂²⋊C₄	—	2	8	no	—
1203	C₂²⋊C₄	—	2	8	no	—
1204	C₂²⋊C₄	—	2	8	no	—
1205	C₂²⋊C₄	—	2	8	no	—
1206	C₂²⋊C₄	—	2	8	no	—
1207	C₂²⋊C₄	—	2	8	no	—
1208	C₂²⋊C₄	—	2	8	no	—
1209	C₂²⋊C₄	—	2	8	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	1	no	—
1216	C₂²⋊C₄	—	4	1	no	—
1217	C₂²⋊C₄	—	4	1	no	—
1218	C₂²⋊C₄	—	4	1	no	—
1219	C₂²⋊C₄	—	4	1	no	—
1220	C₂²⋊C₄	—	4	1	no	—
1221	C₂²⋊C₄	—	4	1	no	—
1222	C₂²⋊C₄	—	4	1	no	—
1223	C₂²⋊C₄	—	4	2	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	2	no	—
1230	C₂²⋊C₄	—	4	4	no	—
1231	C₂²⋊C₄	—	4	4	no	—
1232	C₂²⋊C₄	—	4	4	no	—
1233	C₂²⋊C₄	—	4	4	no	—
1234	C₂²⋊C₄	—	4	4	no	—
1235	C₂²⋊C₄	—	4	4	no	—
1236	C₂²⋊C₄	—	4	4	no	—
1237	C₂²⋊C₄	—	4	4	no	—
1238	C₂²⋊C₄	—	4	4	no	—
1239	C₂²⋊C₄	—	4	4	no	—
1240	C₂²⋊C₄	—	4	4	no	—
1241	C₂²⋊C₄	—	4	4	no	—
1242	C₂²⋊C₄	—	4	4	no	—
1243	C₂²⋊C₄	—	4	4	no	—
1244	C₂²⋊C₄	—	4	2	no	—
1245	C₂²⋊C₄	—	4	4	no	—
1246	C₄²	—	2	2	no	—
1247	C₄²	—	2	2	no	—
1248	C₄²	—	2	2	no	—
1249	C₄²	—	2	2	no	—
1250	C₄²	—	2	4	no	—
1251	C₄²	—	4	4	no	—
1252	C₄²	—	4	4	no	—
1253	C₄²	—	4	4	no	—
1254	C₄²	—	4	4	no	—
1255	C₄²	—	4	4	no	—
1256	C₄²	—	4	2	no	—
1257	C₄²	—	4	4	no	—
1258	C₂³	—	2	1	no	—
1259	C₂³	—	2	1	no	—
1260	C₂³	—	2	2	no	—
1261	C₂³	—	2	8	no	—
1262	C₂³	—	2	4	no	—
1263	C₂³	—	2	4	no	—
1264	C₂³	—	2	1	no	—
1265	C₂³	—	2	1	no	—
1266	C₂³	—	2	1	no	—
1267	C₂³	—	2	1	no	—
1268	C₂³	—	2	2	no	—
1269	C₂³	—	2	4	no	—
1270	C₂³	—	2	2	no	—
1271	C₂³	—	2	2	no	—
1272	C₂³	—	2	1	no	—
1273	C₂³	—	2	4	no	—
1274	C₂³	—	2	1	no	—
1275	C₂³	—	2	2	no	—
1276	C₂³	—	2	4	no	—
1277	C₂³	—	2	2	no	—
1278	C₂³	—	2	2	no	—
1279	C₂³	—	2	4	no	—
1280	C₂³	—	2	16	no	—
1281	C₂³	—	2	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	2	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	2	no	—
1286	C₂³	—	4	8	no	—
1287	C₂³	—	4	8	no	—
1288	C₂³	—	4	8	no	—
1289	C₂³	—	4	8	no	—
1290	C₂³	—	4	4	no	—
1291	C₂³	—	4	8	no	—
1292	C₂³	—	4	8	no	—
1293	C₂³	—	4	8	no	—
1294	C₂³	—	4	16	no	—
1295	C₂³	—	4	16	no	—
1296	C₂³	—	4	4	no	—
1297	C₂³	—	4	4	no	—
1298	C₂³	—	4	4	no	—
1299	C₂³	—	8	2	no	—
1300	C₂³	—	8	4	no	—
1301	C₂³	—	8	4	no	—
1302	C₂³	—	8	4	no	—
1303	C₂³	—	8	4	no	—
1304	C₂³	—	8	4	no	—
1305	C₂³	—	8	4	no	—
1306	C₂³	—	8	4	no	—
1307	C₂³	—	8	8	no	—
1308	C₂³	—	8	8	no	—
1309	C₂³	—	8	4	no	—
1310	C₂³	—	8	4	no	—
1311	C₂³	—	8	64	no	—
1312	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1313	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1314	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1315	C₂³	C₂×2₋¹⁺⁴	1	8	yes	—
1316	C₂³	C₂×2₋¹⁺⁴	1	4	yes	—
1317	C₂³	#585	1	2	yes	—
1318	C₂³	C₂⁶	1	1	yes	characteristic
1319	Q₈	—	8	4	no	—
1320	Q₈	—	8	4	no	—
1321	Q₈	—	8	4	no	—
1322	Q₈	—	8	4	no	—
1323	Q₈	—	16	4	no	—
1324	D₄	—	4	4	no	—
1325	D₄	—	4	4	no	—
1326	D₄	—	4	4	no	—
1327	D₄	—	4	16	no	—
1328	D₄	—	4	4	no	—
1329	D₄	—	8	8	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	2	no	—
1333	C₂×C₄	—	2	2	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	4	no	—
1338	C₂×C₄	—	2	4	no	—
1339	C₂×C₄	—	2	4	no	—
1340	C₂×C₄	—	2	4	no	—
1341	C₂×C₄	—	2	4	no	—
1342	C₂×C₄	—	2	4	no	—
1343	C₂×C₄	—	2	4	no	—
1344	C₂×C₄	—	2	4	no	—
1345	C₂×C₄	—	2	4	no	—
1346	C₂×C₄	—	2	4	no	—
1347	C₂×C₄	—	2	4	no	—
1348	C₂×C₄	—	2	4	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	2	no	—
1355	C₂×C₄	—	2	2	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	4	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	1	no	—
1367	C₂×C₄	—	2	4	no	—
1368	C₂×C₄	—	2	4	no	—
1369	C₂×C₄	—	2	2	no	—
1370	C₂×C₄	—	2	4	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	2	no	—
1380	C₂×C₄	—	2	2	no	—
1381	C₂×C₄	—	2	2	no	—
1382	C₂×C₄	—	4	4	no	—
1383	C₂×C₄	—	4	4	no	—
1384	C₂×C₄	—	4	4	no	—
1385	C₂×C₄	—	4	4	no	—
1386	C₂×C₄	—	4	4	no	—
1387	C₂×C₄	—	4	4	no	—
1388	C₂×C₄	—	8	2	no	—
1389	C₂×C₄	—	8	2	no	—
1390	C₂×C₄	—	8	2	no	—
1391	C₂×C₄	—	8	2	no	—
1392	C₂×C₄	—	8	2	no	—
1393	C₂×C₄	—	8	2	no	—
1394	C₂×C₄	—	8	4	no	—
1395	C₂×C₄	—	8	4	no	—
1396	C₂×C₄	—	8	8	no	—
1397	C₂×C₄	—	8	8	no	—
1398	C₂×C₄	—	8	4	no	—
1399	C₂×C₄	—	8	4	no	—
1400	C₂×C₄	—	8	4	no	—
1401	C₂×C₄	—	8	2	no	—
1402	C₂×C₄	—	8	4	no	—
1403	C₂×C₄	—	8	4	no	—
1404	C₂×C₄	—	16	4	no	—
1405	C₂×C₄	—	16	4	no	—
1406	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1407	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1408	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1409	C₂²	—	2	2	no	—
1410	C₂²	—	2	2	no	—
1411	C₂²	—	2	4	no	—
1412	C₂²	—	2	4	no	—
1413	C₂²	—	2	8	no	—
1414	C₂²	—	2	2	no	—
1415	C₂²	—	2	2	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	2	8	no	—
1418	C₂²	—	2	4	no	—
1419	C₂²	—	2	4	no	—
1420	C₂²	—	2	8	no	—
1421	C₂²	—	2	4	no	—
1422	C₂²	—	4	16	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	1	no	—
1425	C₂²	—	4	1	no	—
1426	C₂²	—	4	4	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	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	1	no	—
1437	C₂²	—	4	1	no	—
1438	C₂²	—	4	1	no	—
1439	C₂²	—	4	2	no	—
1440	C₂²	—	4	2	no	—
1441	C₂²	—	8	16	no	—
1442	C₂²	—	8	8	no	—
1443	C₂²	—	8	16	no	—
1444	C₂²	—	8	16	no	—
1445	C₂²	#3538	1	4	yes	—
1446	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1447	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1448	C₂²	C₂²×2₋¹⁺⁴	1	2	yes	—
1449	C₂²	C₂×#585	1	1	yes	characteristic
1450	C₂²	H(7,𝔽₂)	1	2	yes	—
1451	C₄	—	2	2	no	—
1452	C₄	—	2	2	no	—
1453	C₄	—	2	2	no	—
1454	C₄	—	4	1	no	—
1455	C₄	—	4	1	no	—
1456	C₄	—	4	1	no	—
1457	C₄	—	4	4	no	—
1458	C₄	—	4	4	no	—
1459	C₄	—	4	4	no	—
1460	C₄	—	4	1	no	—
1461	C₄	—	4	1	no	—
1462	C₄	—	4	1	no	—
1463	C₄	—	4	1	no	—
1464	C₄	—	4	4	no	—
1465	C₄	—	4	4	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	C₂	—	2	4	no	—
1473	C₂	—	4	2	no	—
1474	C₂	—	4	2	no	—
1475	C₂	—	4	2	no	—
1476	C₂	—	4	8	no	—
1477	C₂	—	8	1	no	—
1478	C₂	C₂×#3538	1	1	yes	characteristic
1479	C₂	#62818	1	1	yes	characteristic
1480	C₂	#62862	1	1	yes	characteristic
1481	C₂	#62894	1	2	yes	—
1482	C₂	#62903	1	2	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
prime radical	C₂²×#120	C₂²
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. #59192	C₂	semidirect
3. #58987	C₂	semidirect
4. #58982	C₂	semidirect
5. #58375	C₂	semidirect
6. #58362	C₂	semidirect
7. #57515	C₂	semidirect
8. #57446	C₂	semidirect
9. #51691	C₂	semidirect
10. #51589	C₂	semidirect
11. #51496	C₂	semidirect
12. #50887	C₂	semidirect
13. #48350	C₂	semidirect
14. #48214	C₂	semidirect
15. #45474	C₂	semidirect
16. #45456	C₂	semidirect
17. #40639	C₂	semidirect
18. #40611	C₂	semidirect
19. #37934	C₂	semidirect
20. #37932	C₂	semidirect
21. #37688	C₂	semidirect
22. #37684	C₂	semidirect
23. #36728	C₂	semidirect
24. #35240	C₂	semidirect
25. #35084	C₂	semidirect
26. #34982	C₂	semidirect
28. C₂×#563	C₂²	semidirect
31. C₂×#533	C₂²	semidirect
33. C₂²×C₂²⋊Q₈	C₂²	semidirect
37. #2855	C₂²	semidirect
41. #2848	C₂²	semidirect
42. #2841	C₂²	semidirect
43. #2841	C₂²	semidirect
44. #2841	C₂²	semidirect
45. #2827	C₂²	semidirect
46. #2827	C₂²	semidirect
47. #2817	C₂²	semidirect
48. #2814	C₂²	semidirect
49. #2790	C₂²	semidirect
50. #2790	C₂²	semidirect
51. #2788	C₂²	semidirect
52. #2771	C₂²	semidirect
53. #2768	C₂²	semidirect
54. #2765	C₂²	semidirect
55. #2765	C₂²	semidirect
56. #2764	C₂²	semidirect
57. #2764	C₂²	semidirect
58. #2750	C₂²	semidirect
59. #2747	C₂²	semidirect
60. #2747	C₂²	semidirect
61. #2746	C₂²	semidirect
62. #2745	C₂²	semidirect
63. #2744	C₂²	semidirect
64. #2743	C₂²	semidirect
65. #2743	C₂²	semidirect
66. #2740	C₂²	semidirect
67. #2738	C₂²	semidirect
68. #2738	C₂²	semidirect
69. #2737	C₂²	semidirect
70. #2736	C₂²	semidirect
71. #2735	C₂²	semidirect
72. #2735	C₂²	semidirect
73. #2732	C₂²	semidirect
74. #2729	C₂²	semidirect
75. #2729	C₂²	semidirect
76. #2724	C₂²	semidirect
77. #2722	C₂²	semidirect
78. #2722	C₂²	semidirect
79. #2720	C₂²	semidirect
80. #2720	C₂²	semidirect
81. #2718	C₂²	semidirect
82. #2717	C₂²	semidirect
83. #2707	C₂²	semidirect
84. #2707	C₂²	semidirect
85. #2704	C₂²	semidirect
86. #2704	C₂²	semidirect
87. #2704	C₂²	semidirect
88. #2704	C₂²	semidirect
89. #2704	C₂²	semidirect
90. #2698	C₂²	semidirect
92. #2695	C₂²	semidirect
93. #2695	C₂²	semidirect
94. #2695	C₂²	semidirect
95. #2694	C₂²	semidirect
96. #2692	C₂²	semidirect
97. #2692	C₂²	semidirect
98. #2690	C₂²	semidirect
99. #2690	C₂²	semidirect
100. #2689	C₂²	semidirect
101. #2687	C₂²	semidirect
102. #2687	C₂²	semidirect
105. #2683	C₂²	semidirect
106. #2680	C₂²	semidirect
107. #2677	C₂²	semidirect
108. #2674	C₂²	semidirect
109. #2667	C₂²	semidirect
110. #2665	C₂²	semidirect
111. #2659	C₂²	semidirect
112. #2653	C₂²	semidirect
113. #2649	C₂²	semidirect
114. #2646	C₂²	semidirect
115. #2638	C₂²	semidirect
116. #2638	C₂²	semidirect
117. #2638	C₂²	semidirect
118. #2633	C₂²	semidirect
119. #2633	C₂²	semidirect
120. #2633	C₂²	semidirect
121. #2629	C₂²	semidirect
122. #2629	C₂²	semidirect
126. #2611	C₂²	semidirect
127. #2609	C₂²	semidirect
128. #2583	C₂²	semidirect
129. #2573	C₂²	semidirect
131. #2561	C₂²	semidirect
132. #2553	C₂²	semidirect
133. #2549	C₂²	semidirect
134. #2547	C₂²	semidirect
135. #2547	C₂²	semidirect
136. #2542	C₂²	semidirect
137. #2542	C₂²	semidirect
138. #2536	C₂²	semidirect
139. #2536	C₂²	semidirect
149. #2527	C₂²	semidirect
150. #2505	C₂²	semidirect
151. #2502	C₂²	semidirect
152. #2493	C₂²	semidirect
153. #2486	C₂²	semidirect
154. #2486	C₂²	semidirect
156. #2483	C₂²	semidirect
157. #2483	C₂²	semidirect
159. #2482	C₂²	semidirect
160. #2482	C₂²	semidirect
163. #2480	C₂²	semidirect
164. #2480	C₂²	semidirect
165. #2480	C₂²	semidirect
166. #2477	C₂²	semidirect
167. #2475	C₂²	semidirect
168. #2473	C₂²	semidirect
169. #2473	C₂²	semidirect
170. #2473	C₂²	semidirect
172. #2470	C₂²	semidirect
173. #2466	C₂²	semidirect
174. #2465	C₂²	semidirect
175. #2465	C₂²	semidirect
176. #2460	C₂²	semidirect
177. #2449	C₂²	semidirect
178. #2449	C₂²	semidirect
179. #2441	C₂²	semidirect
180. #2440	C₂²	semidirect
181. #2439	C₂²	semidirect
182. #2438	C₂²	semidirect
185. #2437	C₂²	semidirect
186. #2437	C₂²	semidirect
187. #2437	C₂²	semidirect
188. #2437	C₂²	semidirect
189. #2437	C₂²	semidirect
190. #2437	C₂²	semidirect
191. #2437	C₂²	semidirect
192. #2437	C₂²	semidirect
193. #2437	C₂²	semidirect
194. #2437	C₂²	semidirect
196. #2429	C₂²	semidirect
197. #2423	C₂²	semidirect
199. #2417	C₂²	semidirect
200. #2415	C₂²	semidirect
201. #2415	C₂²	semidirect
204. #2409	C₂²	semidirect
205. #2409	C₂²	semidirect
206. #2409	C₂²	semidirect
211. #2378	C₂²	semidirect
212. #2376	C₂²	semidirect
217. #2342	C₂²	semidirect
219. #2329	C₂²	semidirect
220. #2329	C₂²	semidirect
221. #2326	C₂²	semidirect
222. #2326	C₂²	semidirect
223. #2322	C₂²	semidirect
224. #2322	C₂²	semidirect
229. #2283	C₂²	semidirect
230. #2280	C₂²	semidirect
236. C₂³×Q₈	C₂³	semidirect
246. C₂×C₄⋊Q₈	C₂³	semidirect
247. C₂×C₄⋊Q₈	C₂³	semidirect
248. C₂×C₄⋊Q₈	C₂³	semidirect
251. C₂×#126	C₂³	semidirect
252. C₂×#125	C₂³	semidirect
253. C₂×#125	C₂³	semidirect
254. C₂×#125	C₂³	semidirect
255. C₂×#125	C₂³	semidirect
285. C₂×C₂²⋊Q₈	C₂³	semidirect
286. C₂×C₂²⋊Q₈	C₂³	semidirect
287. C₂×C₂²⋊Q₈	C₂³	semidirect
288. C₂×C₂²⋊Q₈	C₂³	semidirect
289. C₂×C₂²⋊Q₈	C₂³	semidirect
295. C₂×C₄×Q₈	C₂³	semidirect
296. C₂×C₄×Q₈	C₂³	semidirect
311. C₂×#117	C₂³	semidirect
315. C₂²×C₄⋊C₄	C₂³	semidirect
316. C₂²×C₄⋊C₄	C₂³	semidirect
340. #401	C₂³	semidirect
341. #400	C₂³	semidirect
342. #400	C₂³	semidirect
343. #400	C₂³	semidirect
344. #400	C₂³	semidirect
345. #400	C₂³	semidirect
346. #400	C₂³	semidirect
347. #400	C₂³	semidirect
348. #400	C₂³	semidirect
349. #400	C₂³	semidirect
350. #400	C₂³	semidirect
351. #400	C₂³	semidirect
352. #400	C₂³	semidirect
361. #399	C₂³	semidirect
362. #399	C₂³	semidirect
363. #399	C₂³	semidirect
364. #398	C₂³	semidirect
365. #398	C₂³	semidirect
366. #398	C₂³	semidirect
367. #398	C₂³	semidirect
368. #398	C₂³	semidirect
369. #398	C₂³	semidirect
370. #398	C₂³	semidirect
371. #398	C₂³	semidirect
372. #398	C₂³	semidirect
373. #398	C₂³	semidirect
374. #398	C₂³	semidirect
375. #398	C₂³	semidirect
376. #398	C₂³	semidirect
377. #398	C₂³	semidirect
378. #398	C₂³	semidirect
379. #398	C₂³	semidirect
380. #398	C₂³	semidirect
381. #398	C₂³	semidirect
382. #398	C₂³	semidirect
383. #398	C₂³	semidirect
384. #398	C₂³	semidirect
385. #398	C₂³	semidirect
386. #398	C₂³	semidirect
387. #398	C₂³	semidirect
402. #397	C₂³	semidirect
403. #397	C₂³	semidirect
404. #397	C₂³	semidirect
405. #397	C₂³	semidirect
406. #397	C₂³	semidirect
407. #397	C₂³	semidirect
408. #397	C₂³	semidirect
427. #396	C₂³	semidirect
428. #396	C₂³	semidirect
429. #396	C₂³	semidirect
430. #395	C₂³	semidirect
431. #395	C₂³	semidirect
432. #395	C₂³	semidirect
433. #395	C₂³	semidirect
434. #395	C₂³	semidirect
435. #395	C₂³	semidirect
436. #395	C₂³	semidirect
437. #395	C₂³	semidirect
438. #395	C₂³	semidirect
459. #393	C₂³	semidirect
460. #391	C₂³	semidirect
461. #391	C₂³	semidirect
462. #391	C₂³	semidirect
463. #391	C₂³	semidirect
464. #391	C₂³	semidirect
465. #391	C₂³	semidirect
466. #391	C₂³	semidirect
467. #391	C₂³	semidirect
468. #391	C₂³	semidirect
473. #389	C₂³	semidirect
474. #389	C₂³	semidirect
475. #389	C₂³	semidirect
476. #389	C₂³	semidirect
477. #389	C₂³	semidirect
478. #389	C₂³	semidirect
479. #389	C₂³	semidirect
480. #389	C₂³	semidirect
481. #389	C₂³	semidirect
482. #389	C₂³	semidirect
483. #389	C₂³	semidirect
484. #389	C₂³	semidirect
485. #389	C₂³	semidirect
486. #389	C₂³	semidirect
487. #389	C₂³	semidirect
514. #388	C₂³	semidirect
515. #388	C₂³	semidirect
516. #388	C₂³	semidirect
517. #388	C₂³	semidirect
518. #388	C₂³	semidirect
519. #387	C₂³	semidirect
520. #387	C₂³	semidirect
521. #387	C₂³	semidirect
522. #387	C₂³	semidirect
523. #387	C₂³	semidirect
524. #387	C₂³	semidirect
525. #387	C₂³	semidirect
526. #387	C₂³	semidirect
527. #387	C₂³	semidirect
528. #387	C₂³	semidirect
529. #387	C₂³	semidirect
530. #387	C₂³	semidirect
531. #387	C₂³	semidirect
532. #387	C₂³	semidirect
533. #387	C₂³	semidirect
534. #387	C₂³	semidirect
535. #387	C₂³	semidirect
536. #387	C₂³	semidirect
537. #387	C₂³	semidirect
584. #385	C₂³	semidirect
585. #385	C₂³	semidirect
586. #385	C₂³	semidirect
587. #385	C₂³	semidirect
588. #385	C₂³	semidirect
589. #385	C₂³	semidirect
590. #384	C₂³	semidirect
591. #384	C₂³	semidirect
592. #384	C₂³	semidirect
593. #383	C₂³	semidirect
594. #383	C₂³	semidirect
595. #382	C₂³	semidirect
596. #382	C₂³	semidirect
607. #381	C₂³	semidirect
608. #381	C₂³	semidirect
609. #381	C₂³	semidirect
633. #380	C₂³	semidirect
634. #380	C₂³	semidirect
635. #380	C₂³	semidirect
636. #380	C₂³	semidirect
637. #380	C₂³	semidirect
652. C₄×C₄⋊C₄	C₂³	semidirect
653. C₄×C₄⋊C₄	C₂³	semidirect
662. C₄×C₂²⋊C₄	C₂³	semidirect
663. #376	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#59192	2
#59006	2
#58987	2
#58982	2
#58375	2
#58362	2
#57515	2
#57446	2
#51691	2
#51589	2
#51496	2
#50887	2
#48350	2
#48214	2
#45474	2
#45456	2
#40639	2
#40611	2
#37934	2
#37932	2
#37688	2
#37684	2
#36728	2
#35240	2
#35084	2
#34982	2
C₂×#2534	2