Subgroups — #7708459

Order 512.

6626 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#60032	C₂	1	2	yes	maximal, complemented
2	#60031	C₂	1	2	yes	maximal, complemented
3	#59202	C₂	1	1	yes	maximal, characteristic, complemented
4	#59020	C₂	1	2	yes	maximal, complemented
5	#59001	C₂	1	1	yes	maximal, characteristic, complemented
6	#45693	C₂	1	2	yes	maximal, complemented
7	#45681	C₂	1	2	yes	maximal, complemented
8	#45667	C₂	1	1	yes	maximal, characteristic, complemented
9	#45599	C₂	1	1	yes	maximal, characteristic, complemented
10	#45598	C₂	1	2	yes	maximal, complemented
11	#40358	C₂	1	4	yes	maximal, complemented
12	#40356	C₂	1	4	yes	maximal, complemented
13	#39910	C₂	1	2	yes	maximal, complemented
14	#39908	C₂	1	2	yes	maximal, complemented
15	#39862	C₂	1	2	yes	maximal, complemented
16	#39860	C₂	1	2	yes	maximal, complemented
17	#39048	C₂	1	4	yes	maximal, complemented
18	#39037	C₂	1	4	yes	maximal, complemented
19	#37458	C₂	1	2	yes	maximal, complemented
20	#36725	C₂	1	2	yes	maximal, complemented
21	#36702	C₂	1	2	yes	maximal, complemented
22	#36614	C₂	1	2	yes	maximal, complemented
23	#36207	C₂	1	2	yes	maximal, complemented
24	#36157	C₂	1	2	yes	maximal, complemented
25	#36147	C₂	1	2	yes	maximal, complemented
26	#36097	C₂	1	2	yes	maximal, complemented
27	#35165	C₂	1	1	yes	maximal, characteristic, complemented
28	#35023	C₂	1	2	yes	maximal, complemented
29	#35010	C₂	1	1	yes	maximal, characteristic, complemented
30	#34406	C₂	1	2	yes	maximal, complemented
31	C₂×C₄×#120	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁵×C₄	C₂²	1	1	yes	characteristic
33	C₂×#553	C₂²	1	2	yes	complemented
34	C₂×#548	C₂²	1	2	yes	complemented
35	C₂×#535	C₂²	1	2	yes	—
36	C₂×#532	C₂²	1	1	yes	characteristic, complemented
37	C₂×#525	C₂²	1	2	yes	—
38	C₂×#525	C₂²	1	2	yes	complemented
39	C₂×#525	C₂²	1	2	yes	complemented
40	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#120	C₂²	1	1	yes	characteristic
42	C₂²×C₄×D₄	C₂²	1	2	yes	—
43	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
44	#2855	C₂²	1	2	yes	complemented
45	#2851	C₂²	1	2	yes	complemented
46	#2850	C₂²	1	2	yes	complemented
47	#2849	C₂²	1	4	yes	—
48	#2849	C₂²	1	4	yes	complemented
49	#2849	C₂²	1	4	yes	complemented
50	#2848	C₂²	1	2	yes	—
51	#2848	C₂²	1	2	yes	—
52	#2848	C₂²	1	2	yes	complemented
53	#2848	C₂²	1	2	yes	complemented
54	#2847	C₂²	1	2	yes	—
55	#2847	C₂²	1	2	yes	—
56	#2847	C₂²	1	2	yes	complemented
57	#2847	C₂²	1	2	yes	complemented
58	#2847	C₂²	1	2	yes	complemented
59	#2846	C₂²	1	4	yes	—
60	#2835	C₂²	1	2	yes	complemented
61	#2827	C₂²	1	4	yes	complemented
62	#2826	C₂²	1	2	yes	complemented
63	#2782	C₂²	1	4	yes	complemented
64	#2778	C₂²	1	4	yes	complemented
65	#2764	C₂²	1	4	yes	complemented
66	#2763	C₂²	1	4	yes	complemented
67	#2750	C₂²	1	4	yes	complemented
68	#2749	C₂²	1	4	yes	complemented
69	#2749	C₂²	1	4	yes	complemented
70	#2748	C₂²	1	4	yes	complemented
71	#2746	C₂²	1	4	yes	complemented
72	#2743	C₂²	1	4	yes	complemented
73	#2736	C₂²	1	2	yes	complemented
74	#2735	C₂²	1	2	yes	complemented
75	#2735	C₂²	1	4	yes	complemented
76	#2717	C₂²	1	4	yes	complemented
77	#2708	C₂²	1	4	yes	complemented
78	#2706	C₂²	1	4	yes	complemented
79	#2703	C₂²	1	4	yes	complemented
80	#2697	C₂²	1	4	yes	complemented
81	#2691	C₂²	1	4	yes	complemented
82	#2688	C₂²	1	4	yes	complemented
83	#2685	C₂²	1	4	yes	complemented
84	#2685	C₂²	1	4	yes	complemented
85	#2684	C₂²	1	2	yes	—
86	#2684	C₂²	1	2	yes	—
87	#2684	C₂²	1	4	yes	—
88	#2684	C₂²	1	4	yes	complemented
89	#2678	C₂²	1	4	yes	complemented
90	#2670	C₂²	1	2	yes	complemented
91	#2669	C₂²	1	2	yes	—
92	#2669	C₂²	1	2	yes	—
93	#2669	C₂²	1	4	yes	—
94	#2668	C₂²	1	4	yes	—
95	#2668	C₂²	1	4	yes	—
96	#2668	C₂²	1	4	yes	—
97	#2668	C₂²	1	4	yes	—
98	#2668	C₂²	1	2	yes	complemented
99	#2652	C₂²	1	4	yes	complemented
100	#2649	C₂²	1	4	yes	complemented
101	#2643	C₂²	1	4	yes	complemented
102	#2638	C₂²	1	4	yes	complemented
103	#2636	C₂²	1	4	yes	complemented
104	#2627	C₂²	1	2	yes	complemented
105	#2626	C₂²	1	2	yes	—
106	#2622	C₂²	1	4	yes	—
107	#2617	C₂²	1	2	yes	—
108	#2617	C₂²	1	2	yes	complemented
109	#2603	C₂²	1	4	yes	complemented
110	#2600	C₂²	1	4	yes	complemented
111	#2597	C₂²	1	4	yes	complemented
112	#2595	C₂²	1	4	yes	complemented
113	#2589	C₂²	1	4	yes	complemented
114	#2579	C₂²	1	2	yes	complemented
115	#2579	C₂²	1	2	yes	complemented
116	#2578	C₂²	1	4	yes	complemented
117	#2578	C₂²	1	4	yes	complemented
118	#2578	C₂²	1	4	yes	complemented
119	#2576	C₂²	1	4	yes	complemented
120	#2576	C₂²	1	4	yes	complemented
121	#2575	C₂²	1	4	yes	complemented
122	#2564	C₂²	1	4	yes	complemented
123	#2564	C₂²	1	2	yes	complemented
124	#2564	C₂²	1	2	yes	complemented
125	#2562	C₂²	1	2	yes	complemented
126	#2559	C₂²	1	4	yes	complemented
127	#2557	C₂²	1	4	yes	complemented
128	#2553	C₂²	1	4	yes	complemented
129	#2547	C₂²	1	1	yes	characteristic, complemented
130	#2547	C₂²	1	1	yes	characteristic, complemented
131	#2544	C₂²	1	2	yes	complemented
132	#2544	C₂²	1	2	yes	complemented
133	#2541	C₂²	1	1	yes	characteristic, complemented
134	#2541	C₂²	1	1	yes	characteristic, complemented
135	#2540	C₂²	1	2	yes	complemented
136	#2537	C₂²	1	2	yes	complemented
137	#2537	C₂²	1	2	yes	complemented
138	#2536	C₂²	1	2	yes	complemented
139	#2535	C₂²	1	2	yes	complemented
140	#2535	C₂²	1	2	yes	complemented
141	#2535	C₂²	1	4	yes	complemented
142	#2535	C₂²	1	2	yes	complemented
143	#2527	C₂²	1	4	yes	complemented
144	#2517	C₂²	1	2	yes	complemented
145	#2517	C₂²	1	4	yes	complemented
146	#2515	C₂²	1	4	yes	complemented
147	#2505	C₂²	1	4	yes	complemented
148	#2499	C₂²	1	2	yes	complemented
149	#2496	C₂²	1	2	yes	complemented
150	#2495	C₂²	1	2	yes	complemented
151	#2495	C₂²	1	2	yes	complemented
152	#2494	C₂²	1	2	yes	complemented
153	#2492	C₂²	1	2	yes	complemented
154	#2490	C₂²	1	2	yes	complemented
155	#2489	C₂²	1	2	yes	complemented
156	#2489	C₂²	1	2	yes	complemented
157	#2487	C₂²	1	2	yes	complemented
158	#2487	C₂²	1	1	yes	characteristic, complemented
159	#2487	C₂²	1	1	yes	characteristic, complemented
160	#2485	C₂²	1	2	yes	complemented
161	#2482	C₂²	1	4	yes	—
162	#2481	C₂²	1	4	yes	complemented
163	#2480	C₂²	1	4	yes	—
164	#2472	C₂²	1	4	yes	—
165	#2467	C₂²	1	4	yes	complemented
166	#2466	C₂²	1	4	yes	complemented
167	#2463	C₂²	1	4	yes	complemented
168	#2463	C₂²	1	2	yes	complemented
169	#2461	C₂²	1	4	yes	complemented
170	#2461	C₂²	1	4	yes	complemented
171	#2459	C₂²	1	4	yes	complemented
172	#2457	C₂²	1	4	yes	complemented
173	#2457	C₂²	1	4	yes	complemented
174	#2457	C₂²	1	4	yes	complemented
175	#2456	C₂²	1	4	yes	complemented
176	#2449	C₂²	1	4	yes	complemented
177	#2444	C₂²	1	4	yes	complemented
178	#2444	C₂²	1	4	yes	complemented
179	#2443	C₂²	1	4	yes	complemented
180	#2441	C₂²	1	2	yes	complemented
181	#2439	C₂²	1	2	yes	complemented
182	#2431	C₂²	1	2	yes	complemented
183	#2428	C₂²	1	2	yes	complemented
184	#2427	C₂²	1	2	yes	complemented
185	#2427	C₂²	1	2	yes	complemented
186	#2426	C₂²	1	2	yes	complemented
187	#2424	C₂²	1	4	yes	—
188	#2423	C₂²	1	2	yes	complemented
189	#2421	C₂²	1	2	yes	complemented
190	#2420	C₂²	1	4	yes	complemented
191	#2420	C₂²	1	2	yes	complemented
192	#2420	C₂²	1	2	yes	complemented
193	#2419	C₂²	1	4	yes	complemented
194	#2418	C₂²	1	4	yes	—
195	#2417	C₂²	1	2	yes	complemented
196	#2417	C₂²	1	2	yes	complemented
197	#2416	C₂²	1	2	yes	complemented
198	#2416	C₂²	1	2	yes	complemented
199	#2415	C₂²	1	2	yes	complemented
200	#2414	C₂²	1	2	yes	complemented
201	#2410	C₂²	1	4	yes	—
202	#2410	C₂²	1	4	yes	—
203	#2409	C₂²	1	2	yes	complemented
204	#2409	C₂²	1	1	yes	characteristic, complemented
205	#2409	C₂²	1	1	yes	characteristic, complemented
206	#2407	C₂²	1	2	yes	complemented
207	#2404	C₂²	1	4	yes	—
208	#2380	C₂²	1	2	yes	complemented
209	#2379	C₂²	1	2	yes	complemented
210	#2377	C₂²	1	4	yes	complemented
211	#2373	C₂²	1	4	yes	complemented
212	#2372	C₂²	1	2	yes	complemented
213	#2366	C₂²	1	2	yes	complemented
214	#2364	C₂²	1	4	yes	complemented
215	#2364	C₂²	1	4	yes	complemented
216	#2364	C₂²	1	4	yes	complemented
217	#2363	C₂²	1	2	yes	complemented
218	#2362	C₂²	1	2	yes	complemented
219	#2361	C₂²	1	4	yes	complemented
220	#2358	C₂²	1	4	yes	complemented
221	#2358	C₂²	1	4	yes	complemented
222	#2352	C₂²	1	2	yes	complemented
223	#2352	C₂²	1	2	yes	complemented
224	#2346	C₂²	1	2	yes	complemented
225	#2343	C₂²	1	4	yes	complemented
226	#2339	C₂²	1	4	yes	complemented
227	#2339	C₂²	1	2	yes	complemented
228	#2337	C₂²	1	4	yes	complemented
229	#2333	C₂²	1	4	yes	complemented
230	#2328	C₂²	1	4	yes	complemented
231	#2325	C₂²	1	4	yes	complemented
232	#2321	C₂²	1	4	yes	—
233	#2318	C₂²	1	4	yes	complemented
234	#2315	C₂²	1	2	yes	complemented
235	#2311	C₂²	1	2	yes	complemented
236	#2308	C₂²	1	2	yes	—
237	C₄×C₂²⋊Q₈	C₂²	1	2	yes	complemented
238	C₄×#121	C₂²	1	2	yes	complemented
239	C₄×#120	C₂²	1	4	yes	—
240	C₄×#120	C₂²	1	4	yes	—
241	C₄×#120	C₂²	1	1	yes	characteristic
242	C₄×#120	C₂²	1	1	yes	characteristic
243	C₄×#120	C₂²	1	1	yes	characteristic
244	C₄×#120	C₂²	1	1	yes	characteristic
245	C₄×#120	C₂²	1	1	yes	characteristic
246	C₄×#120	C₂²	1	1	yes	characteristic
247	C₄×#120	C₂²	1	1	yes	characteristic
248	C₄×#120	C₂²	1	1	yes	characteristic
249	C₄×#120	C₂²	1	2	yes	—
250	C₄×#120	C₂²	1	2	yes	—
251	C₄×#120	C₂²	1	2	yes	—
252	C₄×#120	C₂²	1	2	yes	—
253	C₄×#120	C₂²	1	4	yes	complemented
254	C₄×#120	C₂²	1	4	yes	complemented
255	C₂×#386	C₂²	1	1	yes	characteristic
256	C₂×#386	C₂²	1	2	yes	—
257	C₂×#385	C₂²	1	1	yes	characteristic
258	C₂×#385	C₂²	1	2	yes	—
259	#2285	C₂²	1	1	yes	characteristic, complemented
260	#2280	C₂²	1	2	yes	—
261	#2280	C₂²	1	2	yes	complemented
262	#2280	C₂²	1	2	yes	complemented
263	C₂×#380	C₂²	1	1	yes	characteristic, complemented
264	C₂×#379	C₂²	1	1	yes	characteristic
265	C₂×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
266	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
267	C₂⁶	C₂³	1	1	yes	characteristic
268	C₂²×#41	C₂³	1	2	yes	—
269	C₂²×#41	C₂³	1	2	yes	—
270	C₂³×Q₈	C₂³	1	1	yes	characteristic, complemented
271	C₂³×D₄	C₂³	1	2	yes	—
272	C₂³×D₄	C₂³	1	1	yes	characteristic
273	C₂⁴×C₄	—	4	8	no	—
274	C₂⁴×C₄	—	4	4	no	—
275	C₂⁴×C₄	C₂³	1	2	yes	—
276	C₂⁴×C₄	C₂³	1	1	yes	characteristic
277	C₂⁴×C₄	C₂³	1	1	yes	characteristic
278	C₂⁴×C₄	C₂³	1	2	yes	—
279	C₂⁴×C₄	C₂³	1	1	yes	characteristic
280	C₂⁴×C₄	C₂³	1	1	yes	characteristic
281	C₂⁴×C₄	C₂³	1	2	yes	—
282	C₂⁴×C₄	C₂³	1	1	yes	characteristic
283	C₂⁴×C₄	C₂³	1	2	yes	—
284	C₂⁴×C₄	C₂³	1	1	yes	characteristic
285	C₂⁴×C₄	C₂³	1	1	yes	characteristic
286	#553	—	4	8	no	—
287	#548	—	4	8	no	—
288	#535	—	2	16	no	—
289	#532	—	4	4	no	—
290	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
291	C₂×#127	C₂³	1	2	yes	—
292	C₂×#127	C₂³	1	2	yes	—
293	C₂×#127	C₂³	1	1	yes	characteristic, complemented
294	C₂×#126	C₂³	1	4	yes	—
295	C₂×#126	C₂³	1	4	yes	complemented
296	C₂×#125	C₂³	1	2	yes	complemented
297	C₂×#124	C₂³	1	2	yes	—
298	C₂×#124	C₂³	1	2	yes	—
299	C₂×#124	C₂³	1	4	yes	—
300	C₂×#124	C₂³	1	2	yes	complemented
301	C₂×#124	C₂³	1	2	yes	complemented
302	#525	—	4	8	no	—
303	#525	—	4	8	no	—
304	#525	—	4	8	no	—
305	C₂×#123	C₂³	1	4	yes	—
306	C₂×#123	C₂³	1	4	yes	—
307	C₂×#123	C₂³	1	4	yes	—
308	C₂×#123	C₂³	1	4	yes	—
309	C₂×C₂²⋊Q₈	—	4	4	no	—
310	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
311	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
312	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
313	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
314	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
315	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
316	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
317	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
318	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
319	C₂×C₂²⋊Q₈	C₂³	1	2	yes	complemented
320	C₂×#121	C₂³	1	4	yes	—
321	C₂×#121	C₂³	1	2	yes	—
322	C₂×#121	C₂³	1	2	yes	—
323	C₂×#121	C₂³	1	4	yes	—
324	C₂×#121	C₂³	1	2	yes	—
325	C₂×#121	C₂³	1	2	yes	—
326	C₂×#121	C₂³	1	2	yes	—
327	C₂×#121	C₂³	1	2	yes	—
328	C₂×#121	C₂³	1	4	yes	—
329	C₂×#121	C₂³	1	2	yes	—
330	C₂×#121	C₂³	1	4	yes	—
331	C₂×#121	C₂³	1	4	yes	—
332	C₂×#121	C₂³	1	4	yes	—
333	C₂×#121	C₂³	1	4	yes	—
334	C₂×#121	C₂³	1	2	yes	complemented
335	C₂×#121	C₂³	1	2	yes	complemented
336	C₂×#120	—	2	8	no	—
337	C₂×#120	C₂³	1	4	yes	—
338	C₂×#120	C₂³	1	4	yes	—
339	C₂×#120	C₂³	1	1	yes	characteristic
340	C₂×#120	C₂³	1	1	yes	characteristic
341	C₂×#120	C₂³	1	2	yes	—
342	C₂×#120	C₂³	1	1	yes	characteristic
343	C₂×#120	C₂³	1	1	yes	characteristic
344	C₂×#120	C₂³	1	2	yes	—
345	C₂×#120	C₂³	1	4	yes	—
346	C₂×#120	C₂³	1	4	yes	—
347	C₂×#120	C₂³	1	4	yes	—
348	C₂×#120	C₂³	1	4	yes	—
349	C₂×#120	C₂³	1	4	yes	—
350	C₂×#120	C₂³	1	4	yes	—
351	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
352	C₂×C₄×D₄	—	4	4	no	—
353	C₂×C₄×D₄	—	4	8	no	—
354	C₂×C₄×D₄	C₂³	1	2	yes	—
355	C₂×C₄×D₄	C₂³	1	2	yes	—
356	C₂×C₄×D₄	C₂³	1	2	yes	—
357	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
358	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
359	C₂×C₄×D₄	C₂³	1	4	yes	—
360	C₂×C₄×D₄	C₂³	1	4	yes	—
361	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
362	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
363	C₂×C₄×D₄	C₂³	1	4	yes	—
364	C₂×C₄×D₄	C₂³	1	4	yes	—
365	C₂×C₄×D₄	C₂³	1	2	yes	—
366	C₂×C₄×D₄	C₂³	1	4	yes	—
367	C₂×C₄×D₄	C₂³	1	2	yes	—
368	C₂×C₄×D₄	C₂³	1	4	yes	—
369	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
370	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
371	C₂×C₄×D₄	C₂³	1	2	yes	—
372	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
373	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
374	C₂×C₄×D₄	C₂³	1	2	yes	—
375	C₂×C₄×D₄	C₂³	1	2	yes	—
376	C₂×C₄×D₄	C₂³	1	4	yes	—
377	C₂×C₄×D₄	C₂³	1	4	yes	complemented
378	C₂×C₄×D₄	C₂³	1	4	yes	complemented
379	C₂×C₄×D₄	C₂³	1	2	yes	complemented
380	C₂×C₄×D₄	C₂³	1	2	yes	complemented
381	C₂×C₄×D₄	C₂³	1	2	yes	complemented
382	C₂×#117	C₂³	1	2	yes	—
383	C₂×#117	C₂³	1	2	yes	—
384	C₂×#117	C₂³	1	2	yes	—
385	C₂×#117	C₂³	1	2	yes	—
386	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
387	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
388	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
389	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
390	C₂²×C₄⋊C₄	C₂³	1	2	yes	complemented
391	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
392	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
393	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
394	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
395	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
396	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
397	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
398	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
399	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
400	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
401	C₂²×C₄²	C₂³	1	1	yes	characteristic
402	C₂²×C₄²	C₂³	1	2	yes	—
403	#401	C₂³	1	4	yes	complemented
404	#400	C₂³	1	4	yes	complemented
405	#400	C₂³	1	2	yes	complemented
406	#400	C₂³	1	4	yes	complemented
407	#400	C₂³	1	2	yes	complemented
408	#400	C₂³	1	4	yes	complemented
409	#400	C₂³	1	4	yes	complemented
410	#400	C₂³	1	4	yes	complemented
411	#400	C₂³	1	4	yes	complemented
412	#400	C₂³	1	4	yes	complemented
413	#400	C₂³	1	4	yes	complemented
414	#400	C₂³	1	4	yes	complemented
415	#399	C₂³	1	2	yes	—
416	#399	C₂³	1	2	yes	—
417	#399	C₂³	1	4	yes	—
418	#399	C₂³	1	4	yes	—
419	#399	C₂³	1	4	yes	—
420	#399	C₂³	1	4	yes	complemented
421	#398	C₂³	1	4	yes	complemented
422	#398	C₂³	1	4	yes	complemented
423	#398	C₂³	1	4	yes	complemented
424	#398	C₂³	1	4	yes	complemented
425	#397	C₂³	1	4	yes	—
426	#397	C₂³	1	4	yes	—
427	#397	C₂³	1	4	yes	—
428	#397	C₂³	1	4	yes	—
429	#397	C₂³	1	4	yes	—
430	#397	C₂³	1	4	yes	—
431	#397	C₂³	1	2	yes	—
432	#397	C₂³	1	4	yes	—
433	#397	C₂³	1	2	yes	—
434	#397	C₂³	1	4	yes	—
435	#397	C₂³	1	4	yes	—
436	#397	C₂³	1	4	yes	—
437	#397	C₂³	1	4	yes	—
438	#397	C₂³	1	4	yes	complemented
439	#397	C₂³	1	4	yes	complemented
440	#397	C₂³	1	4	yes	complemented
441	#397	C₂³	1	2	yes	complemented
442	#397	C₂³	1	2	yes	complemented
443	#397	C₂³	1	4	yes	complemented
444	#397	C₂³	1	4	yes	complemented
445	#397	C₂³	1	4	yes	complemented
446	#396	C₂³	1	4	yes	—
447	#396	C₂³	1	4	yes	—
448	#396	C₂³	1	4	yes	—
449	#396	C₂³	1	4	yes	—
450	#396	C₂³	1	4	yes	complemented
451	#396	C₂³	1	4	yes	complemented
452	#396	C₂³	1	4	yes	complemented
453	#395	C₂³	1	2	yes	complemented
454	#395	C₂³	1	2	yes	complemented
455	#395	C₂³	1	4	yes	complemented
456	#394	C₂³	1	4	yes	—
457	#394	C₂³	1	4	yes	—
458	#394	C₂³	1	4	yes	—
459	#394	C₂³	1	4	yes	—
460	#394	C₂³	1	4	yes	—
461	#394	C₂³	1	4	yes	—
462	#394	C₂³	1	4	yes	—
463	#394	C₂³	1	4	yes	—
464	#394	C₂³	1	4	yes	—
465	#394	C₂³	1	4	yes	—
466	#394	C₂³	1	4	yes	—
467	#394	C₂³	1	4	yes	—
468	#394	C₂³	1	4	yes	—
469	#394	C₂³	1	4	yes	—
470	#394	C₂³	1	4	yes	—
471	#394	C₂³	1	4	yes	—
472	#394	C₂³	1	4	yes	complemented
473	#394	C₂³	1	4	yes	complemented
474	#394	C₂³	1	4	yes	complemented
475	#393	C₂³	1	2	yes	—
476	#393	C₂³	1	2	yes	—
477	#393	C₂³	1	4	yes	—
478	#393	C₂³	1	4	yes	—
479	#393	C₂³	1	4	yes	—
480	#392	C₂³	1	2	yes	—
481	#392	C₂³	1	4	yes	—
482	#392	C₂³	1	4	yes	—
483	#392	C₂³	1	2	yes	—
484	#392	C₂³	1	4	yes	—
485	#392	C₂³	1	4	yes	—
486	#392	C₂³	1	4	yes	—
487	#392	C₂³	1	4	yes	—
488	#392	C₂³	1	4	yes	—
489	#392	C₂³	1	2	yes	complemented
490	#392	C₂³	1	2	yes	complemented
491	#391	C₂³	1	2	yes	complemented
492	#391	C₂³	1	2	yes	complemented
493	#391	C₂³	1	4	yes	complemented
494	#391	C₂³	1	4	yes	complemented
495	#391	C₂³	1	2	yes	complemented
496	#391	C₂³	1	2	yes	complemented
497	#391	C₂³	1	2	yes	complemented
498	#391	C₂³	1	2	yes	complemented
499	#390	C₂³	1	4	yes	—
500	#390	C₂³	1	4	yes	—
501	#390	C₂³	1	4	yes	—
502	#390	C₂³	1	4	yes	—
503	#390	C₂³	1	2	yes	complemented
504	#390	C₂³	1	2	yes	complemented
505	#390	C₂³	1	4	yes	complemented
506	#390	C₂³	1	4	yes	complemented
507	#390	C₂³	1	2	yes	complemented
508	#390	C₂³	1	2	yes	complemented
509	#389	C₂³	1	4	yes	complemented
510	#389	C₂³	1	2	yes	complemented
511	#389	C₂³	1	2	yes	complemented
512	#389	C₂³	1	2	yes	complemented
513	#389	C₂³	1	2	yes	complemented
514	#389	C₂³	1	4	yes	complemented
515	#389	C₂³	1	2	yes	complemented
516	#389	C₂³	1	2	yes	complemented
517	#388	C₂³	1	4	yes	—
518	#388	C₂³	1	4	yes	—
519	#388	C₂³	1	4	yes	—
520	#388	C₂³	1	4	yes	—
521	#388	C₂³	1	4	yes	—
522	#388	C₂³	1	4	yes	—
523	#388	C₂³	1	4	yes	—
524	#388	C₂³	1	4	yes	—
525	#388	C₂³	1	4	yes	—
526	#388	C₂³	1	4	yes	—
527	#388	C₂³	1	4	yes	—
528	#388	C₂³	1	4	yes	—
529	#388	C₂³	1	4	yes	—
530	#388	C₂³	1	4	yes	—
531	#388	C₂³	1	4	yes	—
532	#388	C₂³	1	4	yes	—
533	#388	C₂³	1	4	yes	complemented
534	#388	C₂³	1	4	yes	complemented
535	#388	C₂³	1	4	yes	complemented
536	#388	C₂³	1	4	yes	complemented
537	#388	C₂³	1	4	yes	complemented
538	#388	C₂³	1	4	yes	complemented
539	#388	C₂³	1	4	yes	complemented
540	#388	C₂³	1	4	yes	complemented
541	#388	C₂³	1	4	yes	complemented
542	#388	C₂³	1	4	yes	complemented
543	#388	C₂³	1	4	yes	complemented
544	#387	C₂³	1	4	yes	complemented
545	#387	C₂³	1	4	yes	complemented
546	#387	C₂³	1	4	yes	complemented
547	#387	C₂³	1	4	yes	complemented
548	#387	C₂³	1	4	yes	complemented
549	#387	C₂³	1	4	yes	complemented
550	#387	C₂³	1	4	yes	complemented
551	#387	C₂³	1	4	yes	complemented
552	#387	C₂³	1	4	yes	complemented
553	#387	C₂³	1	4	yes	complemented
554	#387	C₂³	1	4	yes	complemented
555	#387	C₂³	1	4	yes	complemented
556	#387	C₂³	1	4	yes	complemented
557	#387	C₂³	1	4	yes	complemented
558	#387	C₂³	1	4	yes	complemented
559	#387	C₂³	1	4	yes	complemented
560	#387	C₂³	1	4	yes	complemented
561	#386	C₂³	1	4	yes	—
562	#386	C₂³	1	4	yes	—
563	#386	C₂³	1	2	yes	—
564	#386	C₂³	1	2	yes	—
565	#386	C₂³	1	2	yes	—
566	#386	C₂³	1	2	yes	—
567	#386	C₂³	1	4	yes	—
568	#386	C₂³	1	4	yes	—
569	#386	C₂³	1	4	yes	—
570	#386	C₂³	1	4	yes	—
571	#386	C₂³	1	4	yes	—
572	#386	C₂³	1	4	yes	—
573	#386	C₂³	1	2	yes	—
574	#386	C₂³	1	4	yes	—
575	#386	C₂³	1	4	yes	—
576	#386	C₂³	1	4	yes	—
577	#386	C₂³	1	4	yes	—
578	#386	C₂³	1	4	yes	—
579	#386	C₂³	1	2	yes	—
580	#386	C₂³	1	4	yes	—
581	#386	C₂³	1	4	yes	—
582	#386	C₂³	1	4	yes	—
583	#386	C₂³	1	4	yes	—
584	#386	C₂³	1	2	yes	—
585	#386	C₂³	1	2	yes	—
586	#386	C₂³	1	4	yes	—
587	#386	C₂³	1	4	yes	—
588	#386	C₂³	1	4	yes	—
589	#386	C₂³	1	4	yes	—
590	#386	C₂³	1	4	yes	—
591	#386	C₂³	1	4	yes	—
592	#386	C₂³	1	4	yes	—
593	#386	C₂³	1	4	yes	—
594	#386	C₂³	1	4	yes	—
595	#386	C₂³	1	2	yes	—
596	#386	C₂³	1	4	yes	—
597	#386	C₂³	1	4	yes	—
598	#386	C₂³	1	4	yes	—
599	#386	C₂³	1	1	yes	characteristic
600	#386	C₂³	1	1	yes	characteristic
601	#386	C₂³	1	4	yes	—
602	#386	C₂³	1	1	yes	characteristic
603	#386	C₂³	1	1	yes	characteristic
604	#386	C₂³	1	2	yes	—
605	#386	C₂³	1	2	yes	—
606	#386	C₂³	1	2	yes	—
607	#386	C₂³	1	2	yes	—
608	#386	C₂³	1	2	yes	—
609	#386	C₂³	1	4	yes	complemented
610	#386	C₂³	1	4	yes	complemented
611	#386	C₂³	1	4	yes	complemented
612	#386	C₂³	1	4	yes	complemented
613	#386	C₂³	1	4	yes	complemented
614	#386	C₂³	1	4	yes	complemented
615	#386	C₂³	1	4	yes	complemented
616	#386	C₂³	1	4	yes	complemented
617	#386	C₂³	1	4	yes	complemented
618	#385	C₂³	1	2	yes	—
619	#385	C₂³	1	4	yes	—
620	#385	C₂³	1	4	yes	—
621	#385	C₂³	1	4	yes	—
622	#385	C₂³	1	1	yes	characteristic
623	#385	C₂³	1	4	yes	—
624	#385	C₂³	1	4	yes	—
625	#385	C₂³	1	1	yes	characteristic
626	#385	C₂³	1	4	yes	—
627	#385	C₂³	1	4	yes	—
628	#385	C₂³	1	4	yes	—
629	#385	C₂³	1	4	yes	—
630	#385	C₂³	1	4	yes	—
631	#385	C₂³	1	2	yes	—
632	#385	C₂³	1	4	yes	—
633	#385	C₂³	1	4	yes	—
634	#385	C₂³	1	4	yes	—
635	#385	C₂³	1	4	yes	—
636	#385	C₂³	1	4	yes	—
637	#385	C₂³	1	4	yes	—
638	#385	C₂³	1	2	yes	—
639	#385	C₂³	1	2	yes	—
640	#385	C₂³	1	2	yes	—
641	#385	C₂³	1	2	yes	—
642	#385	C₂³	1	2	yes	—
643	#385	C₂³	1	2	yes	—
644	#385	C₂³	1	1	yes	characteristic
645	#385	C₂³	1	1	yes	characteristic
646	#385	C₂³	1	2	yes	—
647	#385	C₂³	1	2	yes	—
648	#385	C₂³	1	2	yes	complemented
649	#385	C₂³	1	2	yes	complemented
650	#385	C₂³	1	2	yes	complemented
651	#385	C₂³	1	2	yes	complemented
652	#385	C₂³	1	4	yes	complemented
653	#385	C₂³	1	4	yes	complemented
654	#385	C₂³	1	4	yes	complemented
655	#384	C₂³	1	2	yes	complemented
656	#383	C₂³	1	4	yes	complemented
657	#383	C₂³	1	4	yes	complemented
658	#382	C₂³	1	4	yes	complemented
659	#382	C₂³	1	2	yes	complemented
660	#382	C₂³	1	4	yes	complemented
661	#382	C₂³	1	4	yes	complemented
662	#382	C₂³	1	2	yes	complemented
663	#382	C₂³	1	2	yes	complemented
664	#381	C₂³	1	4	yes	—
665	#381	C₂³	1	4	yes	—
666	#381	C₂³	1	4	yes	—
667	#381	C₂³	1	4	yes	—
668	#381	C₂³	1	4	yes	complemented
669	#381	C₂³	1	4	yes	complemented
670	#381	C₂³	1	4	yes	complemented
671	#380	C₂³	1	2	yes	—
672	#380	C₂³	1	2	yes	—
673	#380	C₂³	1	2	yes	—
674	#380	C₂³	1	2	yes	—
675	#380	C₂³	1	2	yes	—
676	#380	C₂³	1	2	yes	—
677	#380	C₂³	1	2	yes	—
678	#380	C₂³	1	2	yes	—
679	#380	C₂³	1	2	yes	—
680	#380	C₂³	1	2	yes	—
681	#380	C₂³	1	2	yes	—
682	#380	C₂³	1	2	yes	—
683	#380	C₂³	1	2	yes	—
684	#380	C₂³	1	2	yes	—
685	#380	C₂³	1	1	yes	characteristic, complemented
686	#380	C₂³	1	2	yes	complemented
687	#380	C₂³	1	4	yes	complemented
688	#380	C₂³	1	4	yes	complemented
689	#380	C₂³	1	4	yes	complemented
690	#380	C₂³	1	4	yes	complemented
691	#380	C₂³	1	4	yes	complemented
692	#380	C₂³	1	2	yes	complemented
693	#380	C₂³	1	4	yes	complemented
694	#380	C₂³	1	2	yes	complemented
695	#380	C₂³	1	1	yes	characteristic, complemented
696	#379	C₂³	1	4	yes	—
697	#379	C₂³	1	4	yes	—
698	#379	C₂³	1	4	yes	—
699	#379	C₂³	1	4	yes	—
700	#379	C₂³	1	4	yes	—
701	#379	C₂³	1	4	yes	—
702	#379	C₂³	1	4	yes	—
703	#379	C₂³	1	1	yes	characteristic
704	#379	C₂³	1	1	yes	characteristic
705	#379	C₂³	1	2	yes	—
706	#379	C₂³	1	2	yes	—
707	#379	C₂³	1	1	yes	characteristic
708	#379	C₂³	1	1	yes	characteristic
709	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
710	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
711	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
712	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
713	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
714	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
715	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
716	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
717	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
718	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
719	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
720	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
721	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
722	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
723	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
724	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
725	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
726	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
727	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
728	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
729	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
730	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
731	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
732	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
733	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
734	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
735	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
736	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
737	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
738	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
739	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
740	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
741	#376	C₂³	1	4	yes	complemented
742	C₂×#95	C₂³	1	2	yes	—
743	C₂×#95	C₂³	1	2	yes	—
744	C₂×#95	C₂³	1	2	yes	—
745	C₂×#95	C₂³	1	2	yes	complemented
746	C₂×#95	C₂³	1	4	yes	complemented
747	C₂⁵	—	2	4	no	—
748	C₂⁵	—	4	4	no	—
749	C₂⁵	—	4	2	no	—
750	C₂⁵	—	4	4	no	—
751	C₂⁵	—	4	2	no	—
752	C₂⁵	C₂⁴	1	2	yes	—
753	C₂⁵	C₂⁴	1	1	yes	characteristic
754	C₂⁵	C₂⁴	1	2	yes	—
755	C₂⁵	C₂⁴	1	1	yes	characteristic
756	C₂⁵	C₂⁴	1	1	yes	characteristic
757	C₂⁵	C₂⁴	1	1	yes	characteristic
758	C₂×#41	—	2	8	no	—
759	C₂×#41	—	2	8	no	—
760	C₂×#41	—	4	4	no	—
761	C₂×#41	—	4	4	no	—
762	C₂×#41	—	4	4	no	—
763	C₂×#41	—	4	4	no	—
764	C₂²×Q₈	—	4	2	no	—
765	C₂²×Q₈	—	4	4	no	—
766	C₂²×Q₈	C₂⁴	1	2	yes	—
767	C₂²×Q₈	C₂⁴	1	2	yes	—
768	C₂²×Q₈	C₂⁴	1	2	yes	—
769	C₂²×D₄	—	2	8	no	—
770	C₂²×D₄	—	4	2	no	—
771	C₂²×D₄	—	4	2	no	—
772	C₂²×D₄	—	4	4	no	—
773	C₂²×D₄	—	4	4	no	—
774	C₂²×D₄	#41	1	8	yes	complemented
775	C₂²×D₄	C₂⁴	1	4	yes	—
776	C₂²×D₄	C₂⁴	1	2	yes	—
777	C₂²×D₄	C₂⁴	1	2	yes	—
778	C₂²×D₄	C₂⁴	1	2	yes	—
779	C₂²×D₄	C₂⁴	1	2	yes	—
780	C₂²×D₄	C₂⁴	1	2	yes	—
781	C₂²×D₄	C₂⁴	1	4	yes	—
782	C₂²×D₄	C₂⁴	1	4	yes	—
783	C₂²×D₄	C₂⁴	1	4	yes	—
784	C₂²×D₄	C₂⁴	1	4	yes	—
785	C₂²×D₄	C₂⁴	1	4	yes	—
786	C₂²×D₄	C₂⁴	1	4	yes	—
787	C₂²×D₄	C₂⁴	1	4	yes	—
788	C₂²×D₄	C₂⁴	1	4	yes	—
789	C₂²×D₄	C₂⁴	1	2	yes	—
790	C₂²×D₄	C₂⁴	1	2	yes	—
791	C₂²×D₄	C₂⁴	1	1	yes	characteristic
792	C₂²×D₄	C₂⁴	1	1	yes	characteristic
793	C₂²×D₄	C₂⁴	1	1	yes	characteristic
794	C₂²×D₄	C₂⁴	1	1	yes	characteristic
795	C₂³×C₄	—	2	8	no	—
796	C₂³×C₄	—	2	4	no	—
797	C₂³×C₄	—	2	8	no	—
798	C₂³×C₄	—	2	8	no	—
799	C₂³×C₄	—	2	8	no	—
800	C₂³×C₄	—	2	4	no	—
801	C₂³×C₄	—	4	4	no	—
802	C₂³×C₄	—	4	4	no	—
803	C₂³×C₄	—	4	2	no	—
804	C₂³×C₄	—	4	4	no	—
805	C₂³×C₄	—	4	4	no	—
806	C₂³×C₄	—	4	4	no	—
807	C₂³×C₄	—	4	4	no	—
808	C₂³×C₄	—	4	4	no	—
809	C₂³×C₄	—	4	2	no	—
810	C₂³×C₄	—	4	4	no	—
811	C₂³×C₄	—	4	4	no	—
812	C₂³×C₄	—	4	2	no	—
813	C₂³×C₄	—	4	4	no	—
814	C₂³×C₄	—	4	2	no	—
815	C₂³×C₄	—	4	4	no	—
816	C₂³×C₄	—	4	4	no	—
817	C₂³×C₄	—	4	2	no	—
818	C₂³×C₄	—	4	4	no	—
819	C₂³×C₄	—	4	4	no	—
820	C₂³×C₄	—	4	4	no	—
821	C₂³×C₄	—	4	64	no	—
822	C₂³×C₄	C₂⁴	1	1	yes	characteristic
823	C₂³×C₄	C₂⁴	1	1	yes	characteristic
824	C₂³×C₄	C₂⁴	1	1	yes	characteristic
825	C₂³×C₄	C₂⁴	1	1	yes	characteristic
826	C₂³×C₄	C₂⁴	1	2	yes	—
827	C₂³×C₄	C₂⁴	1	2	yes	—
828	C₂³×C₄	C₂⁴	1	1	yes	characteristic
829	C₂³×C₄	C₂⁴	1	2	yes	—
830	C₂³×C₄	C₂⁴	1	2	yes	—
831	C₂³×C₄	C₂⁴	1	2	yes	—
832	C₂³×C₄	C₂⁴	1	1	yes	characteristic
833	C₂³×C₄	C₂⁴	1	2	yes	—
834	C₂³×C₄	C₂⁴	1	1	yes	characteristic
835	C₂³×C₄	C₂⁴	1	2	yes	—
836	C₂³×C₄	C₂⁴	1	1	yes	characteristic
837	C₂³×C₄	C₂⁴	1	1	yes	characteristic
838	C₂³×C₄	C₂⁴	1	2	yes	—
839	C₂³×C₄	C₂⁴	1	1	yes	characteristic
840	C₂³×C₄	C₂⁴	1	1	yes	characteristic
841	C₂³×C₄	C₂⁴	1	4	yes	—
842	C₂³×C₄	C₂⁴	1	1	yes	characteristic
843	C₂³×C₄	C₂⁴	1	1	yes	characteristic
844	C₂³×C₄	C₂⁴	1	1	yes	characteristic
845	C₂³×C₄	C₂⁴	1	2	yes	—
846	C₂³×C₄	C₂⁴	1	2	yes	—
847	C₂³×C₄	C₂⁴	1	4	yes	—
848	C₂³×C₄	C₂⁴	1	2	yes	—
849	C₂³×C₄	C₂⁴	1	2	yes	—
850	C₂³×C₄	C₂⁴	1	2	yes	—
851	C₂³×C₄	C₂⁴	1	4	yes	—
852	C₂³×C₄	C₂⁴	1	4	yes	—
853	C₂³×C₄	C₂⁴	1	1	yes	characteristic
854	C₂³×C₄	C₂⁴	1	2	yes	—
855	C₄⋊Q₈	—	4	2	no	—
856	#127	—	2	8	no	—
857	#127	—	2	8	no	—
858	#127	—	4	2	no	—
859	#126	—	4	8	no	—
860	#126	—	4	8	no	—
861	#125	—	4	4	no	—
862	#124	—	2	8	no	—
863	#124	—	2	8	no	—
864	#124	—	4	4	no	—
865	#124	—	4	4	no	—
866	#124	—	4	8	no	—
867	#123	—	4	8	no	—
868	#123	—	4	8	no	—
869	#123	—	4	8	no	—
870	#123	—	4	8	no	—
871	C₂²⋊Q₈	—	2	8	no	—
872	C₂²⋊Q₈	—	2	8	no	—
873	C₂²⋊Q₈	—	4	4	no	—
874	C₂²⋊Q₈	—	4	4	no	—
875	C₂²⋊Q₈	—	4	8	no	—
876	C₂²⋊Q₈	—	4	4	no	—
877	C₂²⋊Q₈	—	4	4	no	—
878	C₂²⋊Q₈	—	4	4	no	—
879	C₂²⋊Q₈	—	4	4	no	—
880	C₂²⋊Q₈	—	4	4	no	—
881	#121	—	2	16	no	—
882	#121	—	2	16	no	—
883	#121	—	2	8	no	—
884	#121	—	2	8	no	—
885	#121	—	4	8	no	—
886	#121	—	4	8	no	—
887	#121	—	4	8	no	—
888	#121	—	4	8	no	—
889	#121	—	4	8	no	—
890	#121	—	4	4	no	—
891	#121	—	4	4	no	—
892	#121	—	4	4	no	—
893	#121	—	4	4	no	—
894	#121	—	4	4	no	—
895	#121	—	4	4	no	—
896	#121	—	4	4	no	—
897	#120	—	2	16	no	—
898	#120	—	2	16	no	—
899	#120	—	2	4	no	—
900	#120	—	2	4	no	—
901	#120	—	2	8	no	—
902	#120	—	2	4	no	—
903	#120	—	2	4	no	—
904	#120	—	2	8	no	—
905	#120	—	4	8	no	—
906	#120	—	4	8	no	—
907	#120	—	4	8	no	—
908	#120	—	4	8	no	—
909	#120	—	4	8	no	—
910	#120	—	4	8	no	—
911	C₄×Q₈	—	4	4	no	—
912	C₄×D₄	—	2	8	no	—
913	C₄×D₄	—	2	8	no	—
914	C₄×D₄	—	4	4	no	—
915	C₄×D₄	—	4	8	no	—
916	C₄×D₄	—	4	4	no	—
917	C₄×D₄	—	4	4	no	—
918	C₄×D₄	—	4	2	no	—
919	C₄×D₄	—	4	2	no	—
920	C₄×D₄	—	4	2	no	—
921	C₄×D₄	—	4	2	no	—
922	C₄×D₄	—	4	2	no	—
923	C₄×D₄	—	4	2	no	—
924	C₄×D₄	—	4	2	no	—
925	C₄×D₄	—	4	2	no	—
926	C₄×D₄	—	4	4	no	—
927	C₄×D₄	—	4	4	no	—
928	C₄×D₄	—	4	8	no	—
929	C₄×D₄	—	4	8	no	—
930	C₄×D₄	—	4	4	no	—
931	C₄×D₄	—	4	4	no	—
932	C₄×D₄	—	4	8	no	—
933	C₄×D₄	—	4	8	no	—
934	C₄×D₄	—	4	8	no	—
935	C₄×D₄	—	4	4	no	—
936	C₄×D₄	—	4	4	no	—
937	C₄×D₄	—	4	8	no	—
938	C₄×D₄	—	4	8	no	—
939	C₄×D₄	—	4	8	no	—
940	#117	—	2	8	no	—
941	#117	—	2	8	no	—
942	#117	—	4	4	no	—
943	#117	—	4	4	no	—
944	C₂×C₄⋊C₄	—	4	4	no	—
945	C₂×C₄⋊C₄	—	4	2	no	—
946	C₂×C₄⋊C₄	—	4	4	no	—
947	C₂×C₄⋊C₄	—	4	4	no	—
948	C₂×C₄⋊C₄	—	4	2	no	—
949	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
950	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
951	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
952	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
953	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
954	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
955	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
956	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
957	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
958	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
959	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
960	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
962	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
965	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
966	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
967	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
968	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
969	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
970	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
971	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
972	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
973	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
974	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
975	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
976	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
977	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
978	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
979	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
980	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
981	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
982	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
983	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
984	C₂×C₂²⋊C₄	—	2	4	no	—
985	C₂×C₂²⋊C₄	—	2	8	no	—
986	C₂×C₂²⋊C₄	—	4	4	no	—
987	C₂×C₂²⋊C₄	—	4	4	no	—
988	C₂×C₂²⋊C₄	—	4	4	no	—
989	C₂×C₂²⋊C₄	—	4	4	no	—
990	C₂×C₂²⋊C₄	—	4	4	no	—
991	C₂×C₂²⋊C₄	—	4	2	no	—
992	C₂×C₂²⋊C₄	—	4	2	no	—
993	C₂×C₂²⋊C₄	—	4	2	no	—
994	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
995	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
996	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
997	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
998	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
999	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1000	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1001	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1002	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1003	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1004	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1005	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1006	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1007	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1008	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1009	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1010	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1011	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1012	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1013	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1014	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1015	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1016	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1017	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1018	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1019	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1020	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1021	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1022	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1025	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1031	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1032	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1033	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1035	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1036	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1037	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1038	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1039	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1040	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1041	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1042	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1043	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1044	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1045	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1046	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1047	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1048	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1049	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1050	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1051	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1052	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1053	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1054	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1055	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1056	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1057	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1058	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1059	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1060	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1061	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1062	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1063	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1064	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1065	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1066	C₂×C₄²	—	2	4	no	—
1067	C₂×C₄²	—	4	4	no	—
1068	C₂×C₄²	C₂⁴	1	4	yes	—
1069	C₂×C₄²	C₂⁴	1	2	yes	—
1070	C₂×C₄²	C₂⁴	1	2	yes	—
1071	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1072	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1073	C₂×C₄²	C₂⁴	1	2	yes	—
1074	C₂×C₄²	C₂⁴	1	2	yes	—
1075	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1076	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1077	C₂×C₄²	C₂⁴	1	4	yes	—
1078	C₂×C₄²	C₂⁴	1	4	yes	—
1079	C₂×C₄²	C₂⁴	1	2	yes	—
1080	C₂×C₄²	C₂⁴	1	2	yes	—
1081	C₂×C₄²	C₂⁴	1	4	yes	—
1082	C₂×C₄²	C₂⁴	1	4	yes	—
1083	C₂×C₄²	C₂⁴	1	4	yes	—
1084	#95	C₂⁴	1	2	yes	—
1085	#95	C₂⁴	1	2	yes	—
1086	#95	C₂⁴	1	2	yes	—
1087	#95	C₂⁴	1	2	yes	—
1088	#95	C₂⁴	1	2	yes	—
1089	#95	C₂⁴	1	2	yes	—
1090	#95	C₂⁴	1	2	yes	—
1091	#95	C₂⁴	1	2	yes	—
1092	#95	C₂⁴	1	2	yes	—
1093	#95	C₂⁴	1	2	yes	—
1094	#95	C₂⁴	1	2	yes	—
1095	#95	C₂⁴	1	2	yes	—
1096	#95	C₂⁴	1	4	yes	—
1097	#95	C₂⁴	1	4	yes	—
1098	#95	C₂⁴	1	2	yes	—
1099	#95	C₂⁴	1	2	yes	—
1100	#95	C₂⁴	1	4	yes	—
1101	#95	C₂⁴	1	4	yes	—
1102	#95	C₂⁴	1	4	yes	—
1103	#95	C₂⁴	1	4	yes	—
1104	#95	C₂⁴	1	4	yes	—
1105	#95	C₂⁴	1	4	yes	—
1106	#95	C₂⁴	1	4	yes	—
1107	#95	C₂⁴	1	4	yes	—
1108	#95	C₂⁴	1	4	yes	—
1109	#95	C₂⁴	1	4	yes	—
1110	#95	C₂⁴	1	4	yes	—
1111	#95	C₂⁴	1	4	yes	—
1112	#95	C₂⁴	1	4	yes	—
1113	#95	C₂⁴	1	4	yes	—
1114	#95	C₂⁴	1	4	yes	—
1115	#95	C₂⁴	1	4	yes	—
1116	#95	C₂⁴	1	4	yes	—
1117	#95	C₂⁴	1	4	yes	—
1118	#95	C₂⁴	1	4	yes	—
1119	#95	C₂⁴	1	4	yes	—
1120	#95	C₂⁴	1	2	yes	—
1121	#95	C₂⁴	1	2	yes	—
1122	#95	C₂⁴	1	4	yes	—
1123	#95	C₂⁴	1	4	yes	—
1124	#95	C₂⁴	1	4	yes	—
1125	#95	C₂⁴	1	4	yes	—
1126	#95	C₂⁴	1	4	yes	—
1127	#95	C₂⁴	1	4	yes	—
1128	#95	C₂⁴	1	4	yes	—
1129	#95	C₂⁴	1	4	yes	—
1130	#95	C₂⁴	1	4	yes	—
1131	#95	C₂⁴	1	4	yes	—
1132	#95	C₂⁴	1	4	yes	—
1133	#95	C₂⁴	1	4	yes	—
1134	C₂⁴	—	2	4	no	—
1135	C₂⁴	—	2	4	no	—
1136	C₂⁴	—	2	2	no	—
1137	C₂⁴	—	2	4	no	—
1138	C₂⁴	—	2	2	no	—
1139	C₂⁴	—	2	2	no	—
1140	C₂⁴	—	2	2	no	—
1141	C₂⁴	—	2	2	no	—
1142	C₂⁴	—	2	4	no	—
1143	C₂⁴	—	2	2	no	—
1144	C₂⁴	—	2	4	no	—
1145	C₂⁴	—	2	4	no	—
1146	C₂⁴	—	2	4	no	—
1147	C₂⁴	—	2	4	no	—
1148	C₂⁴	—	2	4	no	—
1149	C₂⁴	—	2	4	no	—
1150	C₂⁴	—	4	2	no	—
1151	C₂⁴	—	4	2	no	—
1152	C₂⁴	—	4	1	no	—
1153	C₂⁴	—	4	2	no	—
1154	C₂⁴	—	4	1	no	—
1155	C₂⁴	—	4	2	no	—
1156	C₂⁴	—	4	2	no	—
1157	C₂⁴	—	4	2	no	—
1158	C₂⁴	—	4	2	no	—
1159	C₂⁴	—	4	2	no	—
1160	C₂⁴	—	4	2	no	—
1161	C₂⁴	—	4	2	no	—
1162	C₂⁴	—	4	1	no	—
1163	C₂⁴	—	4	1	no	—
1164	C₂⁴	—	4	2	no	—
1165	C₂⁴	—	4	2	no	—
1166	C₂⁴	—	4	32	no	—
1167	C₂⁴	—	4	16	no	—
1168	C₂⁴	—	4	16	no	—
1169	C₂⁴	—	4	16	no	—
1170	C₂⁴	—	4	32	no	—
1171	C₂⁴	C₂×#41	1	4	yes	—
1172	C₂⁴	C₂×#41	1	4	yes	—
1173	C₂⁴	C₂⁵	1	4	yes	—
1174	C₂⁴	C₂⁵	1	1	yes	characteristic
1175	C₂⁴	C₂⁵	1	1	yes	characteristic
1176	C₂⁴	C₂⁵	1	1	yes	characteristic
1177	C₂⁴	C₂⁵	1	1	yes	characteristic
1178	C₂⁴	C₂⁵	1	2	yes	—
1179	C₂⁴	C₂⁵	1	2	yes	—
1180	C₂⁴	C₂⁵	1	1	yes	characteristic
1181	#41	—	8	16	no	—
1182	#41	—	8	16	no	—
1183	C₂×Q₈	—	2	4	no	—
1184	C₂×Q₈	—	2	4	no	—
1185	C₂×Q₈	—	2	4	no	—
1186	C₂×Q₈	—	2	4	no	—
1187	C₂×Q₈	—	4	2	no	—
1188	C₂×Q₈	—	4	4	no	—
1189	C₂×Q₈	—	4	2	no	—
1190	C₂×Q₈	—	4	2	no	—
1191	C₂×Q₈	—	8	8	no	—
1192	C₂×D₄	—	2	4	no	—
1193	C₂×D₄	—	2	4	no	—
1194	C₂×D₄	—	2	4	no	—
1195	C₂×D₄	—	2	4	no	—
1196	C₂×D₄	—	2	8	no	—
1197	C₂×D₄	—	2	4	no	—
1198	C₂×D₄	—	2	4	no	—
1199	C₂×D₄	—	2	8	no	—
1200	C₂×D₄	—	2	8	no	—
1201	C₂×D₄	—	2	4	no	—
1202	C₂×D₄	—	2	4	no	—
1203	C₂×D₄	—	2	8	no	—
1204	C₂×D₄	—	2	8	no	—
1205	C₂×D₄	—	2	8	no	—
1206	C₂×D₄	—	2	8	no	—
1207	C₂×D₄	—	2	8	no	—
1208	C₂×D₄	—	2	8	no	—
1209	C₂×D₄	—	2	8	no	—
1210	C₂×D₄	—	2	8	no	—
1211	C₂×D₄	—	2	4	no	—
1212	C₂×D₄	—	2	4	no	—
1213	C₂×D₄	—	2	4	no	—
1214	C₂×D₄	—	2	4	no	—
1215	C₂×D₄	—	4	1	no	—
1216	C₂×D₄	—	4	1	no	—
1217	C₂×D₄	—	4	1	no	—
1218	C₂×D₄	—	4	1	no	—
1219	C₂×D₄	—	4	2	no	—
1220	C₂×D₄	—	4	2	no	—
1221	C₂×D₄	—	4	16	no	—
1222	C₂×D₄	—	4	1	no	—
1223	C₂×D₄	—	4	1	no	—
1224	C₂×D₄	—	4	1	no	—
1225	C₂×D₄	—	4	1	no	—
1226	C₂×D₄	—	4	2	no	—
1227	C₂×D₄	—	4	2	no	—
1228	C₂×D₄	—	4	4	no	—
1229	C₂×D₄	—	4	4	no	—
1230	C₂×D₄	—	4	4	no	—
1231	C₂×D₄	—	4	4	no	—
1232	C₂×D₄	—	4	4	no	—
1233	C₂×D₄	—	4	4	no	—
1234	C₂×D₄	—	4	2	no	—
1235	C₂×D₄	—	4	4	no	—
1236	C₂×D₄	—	4	4	no	—
1237	C₂×D₄	—	4	4	no	—
1238	C₂×D₄	—	4	4	no	—
1239	C₂×D₄	—	4	4	no	—
1240	C₂×D₄	—	4	4	no	—
1241	C₂×D₄	—	4	4	no	—
1242	C₂×D₄	—	4	4	no	—
1243	C₂×D₄	—	4	4	no	—
1244	C₂×D₄	—	4	4	no	—
1245	C₂×D₄	—	4	4	no	—
1246	C₂×D₄	—	4	2	no	—
1247	C₂×D₄	—	4	2	no	—
1248	C₂×D₄	—	4	32	no	—
1249	C₂×D₄	C₂×#41	1	4	yes	—
1250	C₂×D₄	C₂×#41	1	4	yes	—
1251	C₂×D₄	C₂×#41	1	4	yes	—
1252	C₂×D₄	C₂×#41	1	4	yes	—
1253	C₂²×C₄	—	2	2	no	—
1254	C₂²×C₄	—	2	2	no	—
1255	C₂²×C₄	—	2	4	no	—
1256	C₂²×C₄	—	2	4	no	—
1257	C₂²×C₄	—	2	4	no	—
1258	C₂²×C₄	—	2	4	no	—
1259	C₂²×C₄	—	2	2	no	—
1260	C₂²×C₄	—	2	4	no	—
1261	C₂²×C₄	—	2	4	no	—
1262	C₂²×C₄	—	2	4	no	—
1263	C₂²×C₄	—	2	4	no	—
1264	C₂²×C₄	—	2	2	no	—
1265	C₂²×C₄	—	2	2	no	—
1266	C₂²×C₄	—	2	4	no	—
1267	C₂²×C₄	—	2	4	no	—
1268	C₂²×C₄	—	2	4	no	—
1269	C₂²×C₄	—	2	2	no	—
1270	C₂²×C₄	—	2	4	no	—
1271	C₂²×C₄	—	2	2	no	—
1272	C₂²×C₄	—	2	4	no	—
1273	C₂²×C₄	—	2	4	no	—
1274	C₂²×C₄	—	2	4	no	—
1275	C₂²×C₄	—	2	2	no	—
1276	C₂²×C₄	—	2	2	no	—
1277	C₂²×C₄	—	2	4	no	—
1278	C₂²×C₄	—	2	4	no	—
1279	C₂²×C₄	—	2	2	no	—
1280	C₂²×C₄	—	2	2	no	—
1281	C₂²×C₄	—	2	4	no	—
1282	C₂²×C₄	—	2	4	no	—
1283	C₂²×C₄	—	2	4	no	—
1284	C₂²×C₄	—	2	4	no	—
1285	C₂²×C₄	—	2	4	no	—
1286	C₂²×C₄	—	2	4	no	—
1287	C₂²×C₄	—	2	4	no	—
1288	C₂²×C₄	—	2	8	no	—
1289	C₂²×C₄	—	2	2	no	—
1290	C₂²×C₄	—	2	8	no	—
1291	C₂²×C₄	—	2	2	no	—
1292	C₂²×C₄	—	4	2	no	—
1293	C₂²×C₄	—	4	1	no	—
1294	C₂²×C₄	—	4	2	no	—
1295	C₂²×C₄	—	4	2	no	—
1296	C₂²×C₄	—	4	2	no	—
1297	C₂²×C₄	—	4	2	no	—
1298	C₂²×C₄	—	4	2	no	—
1299	C₂²×C₄	—	4	2	no	—
1300	C₂²×C₄	—	4	2	no	—
1301	C₂²×C₄	—	4	2	no	—
1302	C₂²×C₄	—	4	2	no	—
1303	C₂²×C₄	—	4	2	no	—
1304	C₂²×C₄	—	4	2	no	—
1305	C₂²×C₄	—	4	2	no	—
1306	C₂²×C₄	—	4	2	no	—
1307	C₂²×C₄	—	4	2	no	—
1308	C₂²×C₄	—	4	1	no	—
1309	C₂²×C₄	—	4	2	no	—
1310	C₂²×C₄	—	4	2	no	—
1311	C₂²×C₄	—	4	2	no	—
1312	C₂²×C₄	—	4	2	no	—
1313	C₂²×C₄	—	4	32	no	—
1314	C₂²×C₄	—	4	16	no	—
1315	C₂²×C₄	—	4	2	no	—
1316	C₂²×C₄	—	4	2	no	—
1317	C₂²×C₄	—	4	2	no	—
1318	C₂²×C₄	—	4	2	no	—
1319	C₂²×C₄	—	4	2	no	—
1320	C₂²×C₄	—	4	2	no	—
1321	C₂²×C₄	—	4	2	no	—
1322	C₂²×C₄	—	4	2	no	—
1323	C₂²×C₄	—	4	4	no	—
1324	C₂²×C₄	—	4	4	no	—
1325	C₂²×C₄	—	4	4	no	—
1326	C₂²×C₄	—	4	4	no	—
1327	C₂²×C₄	—	4	4	no	—
1328	C₂²×C₄	—	4	4	no	—
1329	C₂²×C₄	—	4	4	no	—
1330	C₂²×C₄	—	4	4	no	—
1331	C₂²×C₄	—	4	4	no	—
1332	C₂²×C₄	—	4	4	no	—
1333	C₂²×C₄	—	4	4	no	—
1334	C₂²×C₄	—	4	4	no	—
1335	C₂²×C₄	—	4	16	no	—
1336	C₂²×C₄	—	4	32	no	—
1337	C₂²×C₄	—	4	16	no	—
1338	C₂²×C₄	—	4	16	no	—
1339	C₂²×C₄	—	4	32	no	—
1340	C₂²×C₄	—	4	32	no	—
1341	C₂²×C₄	—	4	16	no	—
1342	C₂²×C₄	—	4	16	no	—
1343	C₂²×C₄	—	8	8	no	—
1344	C₂²×C₄	C₂×#41	1	4	yes	—
1345	C₂²×C₄	H(5,𝔽₂)	1	4	yes	—
1346	C₂²×C₄	H(5,𝔽₂)	1	8	yes	—
1347	C₂²×C₄	C₂⁵	1	2	yes	—
1348	C₂²×C₄	C₂⁵	1	4	yes	—
1349	C₂²×C₄	C₂⁵	1	2	yes	—
1350	C₂²×C₄	C₂⁵	1	2	yes	—
1351	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1352	C₂²×C₄	C₂⁵	1	4	yes	—
1353	C₂²×C₄	C₂⁵	1	2	yes	—
1354	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1355	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1356	C₂²×C₄	C₂⁵	1	4	yes	—
1357	C₂²×C₄	C₂⁵	1	4	yes	—
1358	C₂²×C₄	C₂⁵	1	4	yes	—
1359	C₂²×C₄	C₂⁵	1	4	yes	—
1360	C₂²×C₄	C₂⁵	1	2	yes	—
1361	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1362	C₂²×C₄	C₂⁵	1	4	yes	—
1363	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1364	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1365	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1366	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1367	C₂²×C₄	C₂⁵	1	2	yes	—
1368	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1369	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1370	C₄⋊C₄	—	2	8	no	—
1371	C₄⋊C₄	—	2	4	no	—
1372	C₄⋊C₄	—	2	4	no	—
1373	C₄⋊C₄	—	2	4	no	—
1374	C₄⋊C₄	—	2	4	no	—
1375	C₄⋊C₄	—	2	4	no	—
1376	C₄⋊C₄	—	2	8	no	—
1377	C₄⋊C₄	—	2	4	no	—
1378	C₄⋊C₄	—	2	4	no	—
1379	C₄⋊C₄	—	2	4	no	—
1380	C₄⋊C₄	—	2	8	no	—
1381	C₄⋊C₄	—	4	1	no	—
1382	C₄⋊C₄	—	4	1	no	—
1383	C₄⋊C₄	—	4	1	no	—
1384	C₄⋊C₄	—	4	1	no	—
1385	C₄⋊C₄	—	4	2	no	—
1386	C₄⋊C₄	—	4	2	no	—
1387	C₄⋊C₄	—	4	2	no	—
1388	C₄⋊C₄	—	4	4	no	—
1389	C₄⋊C₄	—	4	4	no	—
1390	C₄⋊C₄	—	4	4	no	—
1391	C₄⋊C₄	—	4	2	no	—
1392	C₄⋊C₄	—	4	4	no	—
1393	C₄⋊C₄	—	4	4	no	—
1394	C₄⋊C₄	—	4	4	no	—
1395	C₄⋊C₄	—	4	4	no	—
1396	C₄⋊C₄	—	4	4	no	—
1397	C₄⋊C₄	—	4	4	no	—
1398	C₄⋊C₄	—	4	4	no	—
1399	C₄⋊C₄	—	4	4	no	—
1400	C₄⋊C₄	—	4	4	no	—
1401	C₄⋊C₄	—	4	4	no	—
1402	C₄⋊C₄	—	4	4	no	—
1403	C₄⋊C₄	—	4	4	no	—
1404	C₄⋊C₄	—	4	4	no	—
1405	C₂²⋊C₄	—	2	4	no	—
1406	C₂²⋊C₄	—	2	2	no	—
1407	C₂²⋊C₄	—	2	2	no	—
1408	C₂²⋊C₄	—	2	8	no	—
1409	C₂²⋊C₄	—	2	8	no	—
1410	C₂²⋊C₄	—	2	8	no	—
1411	C₂²⋊C₄	—	2	8	no	—
1412	C₂²⋊C₄	—	2	8	no	—
1413	C₂²⋊C₄	—	2	4	no	—
1414	C₂²⋊C₄	—	2	4	no	—
1415	C₂²⋊C₄	—	2	8	no	—
1416	C₂²⋊C₄	—	2	8	no	—
1417	C₂²⋊C₄	—	2	8	no	—
1418	C₂²⋊C₄	—	2	8	no	—
1419	C₂²⋊C₄	—	2	4	no	—
1420	C₂²⋊C₄	—	2	4	no	—
1421	C₂²⋊C₄	—	2	8	no	—
1422	C₂²⋊C₄	—	2	8	no	—
1423	C₂²⋊C₄	—	2	4	no	—
1424	C₂²⋊C₄	—	2	4	no	—
1425	C₂²⋊C₄	—	2	4	no	—
1426	C₂²⋊C₄	—	2	4	no	—
1427	C₂²⋊C₄	—	2	4	no	—
1428	C₂²⋊C₄	—	2	4	no	—
1429	C₂²⋊C₄	—	2	8	no	—
1430	C₂²⋊C₄	—	2	8	no	—
1431	C₂²⋊C₄	—	4	2	no	—
1432	C₂²⋊C₄	—	4	1	no	—
1433	C₂²⋊C₄	—	4	2	no	—
1434	C₂²⋊C₄	—	4	2	no	—
1435	C₂²⋊C₄	—	4	2	no	—
1436	C₂²⋊C₄	—	4	2	no	—
1437	C₂²⋊C₄	—	4	1	no	—
1438	C₂²⋊C₄	—	4	1	no	—
1439	C₂²⋊C₄	—	4	1	no	—
1440	C₂²⋊C₄	—	4	1	no	—
1441	C₂²⋊C₄	—	4	1	no	—
1442	C₂²⋊C₄	—	4	1	no	—
1443	C₂²⋊C₄	—	4	1	no	—
1444	C₂²⋊C₄	—	4	1	no	—
1445	C₂²⋊C₄	—	4	1	no	—
1446	C₂²⋊C₄	—	4	2	no	—
1447	C₂²⋊C₄	—	4	2	no	—
1448	C₂²⋊C₄	—	4	2	no	—
1449	C₂²⋊C₄	—	4	2	no	—
1450	C₂²⋊C₄	—	4	4	no	—
1451	C₂²⋊C₄	—	4	4	no	—
1452	C₂²⋊C₄	—	4	4	no	—
1453	C₂²⋊C₄	—	4	4	no	—
1454	C₂²⋊C₄	—	4	4	no	—
1455	C₂²⋊C₄	—	4	4	no	—
1456	C₂²⋊C₄	—	4	4	no	—
1457	C₂²⋊C₄	—	4	4	no	—
1458	C₂²⋊C₄	—	4	4	no	—
1459	C₂²⋊C₄	—	4	4	no	—
1460	C₂²⋊C₄	—	4	4	no	—
1461	C₂²⋊C₄	—	4	4	no	—
1462	C₂²⋊C₄	—	4	4	no	—
1463	C₂²⋊C₄	—	4	4	no	—
1464	C₂²⋊C₄	—	4	4	no	—
1465	C₂²⋊C₄	—	4	4	no	—
1466	C₂²⋊C₄	—	4	4	no	—
1467	C₂²⋊C₄	—	4	4	no	—
1468	C₂²⋊C₄	—	4	4	no	—
1469	C₂²⋊C₄	—	4	4	no	—
1470	C₂²⋊C₄	—	4	4	no	—
1471	C₂²⋊C₄	—	4	4	no	—
1472	C₂²⋊C₄	—	4	4	no	—
1473	C₂²⋊C₄	—	4	4	no	—
1474	C₂²⋊C₄	—	4	4	no	—
1475	C₂²⋊C₄	—	4	4	no	—
1476	C₂²⋊C₄	—	4	4	no	—
1477	C₄²	—	2	4	no	—
1478	C₄²	—	2	4	no	—
1479	C₄²	—	2	2	no	—
1480	C₄²	—	2	2	no	—
1481	C₄²	—	2	2	no	—
1482	C₄²	—	2	2	no	—
1483	C₄²	—	2	4	no	—
1484	C₄²	—	2	4	no	—
1485	C₄²	—	2	8	no	—
1486	C₄²	—	4	2	no	—
1487	C₄²	—	4	2	no	—
1488	C₄²	—	4	4	no	—
1489	C₄²	—	4	4	no	—
1490	C₄²	—	4	4	no	—
1491	C₄²	—	4	4	no	—
1492	C₄²	—	4	4	no	—
1493	C₂³	—	2	2	no	—
1494	C₂³	—	2	2	no	—
1495	C₂³	—	2	16	no	—
1496	C₂³	—	2	2	no	—
1497	C₂³	—	2	2	no	—
1498	C₂³	—	2	2	no	—
1499	C₂³	—	2	2	no	—
1500	C₂³	—	2	1	no	—
1501	C₂³	—	2	1	no	—
1502	C₂³	—	2	2	no	—
1503	C₂³	—	2	1	no	—
1504	C₂³	—	2	1	no	—
1505	C₂³	—	2	2	no	—
1506	C₂³	—	2	2	no	—
1507	C₂³	—	2	2	no	—
1508	C₂³	—	2	2	no	—
1509	C₂³	—	2	2	no	—
1510	C₂³	—	2	2	no	—
1511	C₂³	—	2	1	no	—
1512	C₂³	—	2	2	no	—
1513	C₂³	—	2	1	no	—
1514	C₂³	—	2	1	no	—
1515	C₂³	—	2	2	no	—
1516	C₂³	—	2	2	no	—
1517	C₂³	—	2	2	no	—
1518	C₂³	—	2	2	no	—
1519	C₂³	—	2	2	no	—
1520	C₂³	—	2	2	no	—
1521	C₂³	—	2	1	no	—
1522	C₂³	—	2	2	no	—
1523	C₂³	—	2	2	no	—
1524	C₂³	—	2	8	no	—
1525	C₂³	—	2	8	no	—
1526	C₂³	—	2	4	no	—
1527	C₂³	—	2	4	no	—
1528	C₂³	—	2	4	no	—
1529	C₂³	—	2	4	no	—
1530	C₂³	—	2	4	no	—
1531	C₂³	—	2	4	no	—
1532	C₂³	—	2	4	no	—
1533	C₂³	—	4	8	no	—
1534	C₂³	—	4	8	no	—
1535	C₂³	—	4	8	no	—
1536	C₂³	—	4	4	no	—
1537	C₂³	—	4	8	no	—
1538	C₂³	—	4	8	no	—
1539	C₂³	—	4	8	no	—
1540	C₂³	—	4	4	no	—
1541	C₂³	—	4	8	no	—
1542	C₂³	—	4	8	no	—
1543	C₂³	—	4	8	no	—
1544	C₂³	—	4	8	no	—
1545	C₂³	—	4	8	no	—
1546	C₂³	—	4	4	no	—
1547	C₂³	—	4	8	no	—
1548	C₂³	—	4	4	no	—
1549	C₂³	—	4	8	no	—
1550	C₂³	—	4	8	no	—
1551	C₂³	—	4	8	no	—
1552	C₂³	—	4	4	no	—
1553	C₂³	—	4	8	no	—
1554	C₂³	—	4	4	no	—
1555	C₂³	—	4	8	no	—
1556	C₂³	—	4	8	no	—
1557	C₂³	—	4	4	no	—
1558	C₂³	—	4	128	no	—
1559	C₂³	—	4	4	no	—
1560	C₂³	—	4	8	no	—
1561	C₂³	—	4	8	no	—
1562	C₂³	—	8	2	no	—
1563	C₂³	—	8	2	no	—
1564	C₂³	—	8	4	no	—
1565	C₂³	C₂²×#41	1	2	yes	—
1566	C₂³	C₂²×#41	1	2	yes	—
1567	C₂³	C₂²×#41	1	2	yes	—
1568	C₂³	C₂²×#41	1	2	yes	—
1569	C₂³	C₂²×#41	1	2	yes	—
1570	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1571	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1572	C₂³	#585	1	4	yes	—
1573	C₂³	#585	1	2	yes	—
1574	C₂³	C₂⁶	1	1	yes	characteristic
1575	Q₈	—	4	8	no	—
1576	Q₈	—	8	4	no	—
1577	Q₈	—	8	4	no	—
1578	D₄	—	4	4	no	—
1579	D₄	—	4	4	no	—
1580	D₄	—	4	4	no	—
1581	D₄	—	4	4	no	—
1582	D₄	—	4	8	no	—
1583	D₄	—	4	8	no	—
1584	D₄	—	4	8	no	—
1585	D₄	—	4	8	no	—
1586	D₄	—	4	16	no	—
1587	D₄	—	4	8	no	—
1588	D₄	—	8	4	no	—
1589	D₄	—	8	8	no	—
1590	D₄	—	8	8	no	—
1591	D₄	—	8	8	no	—
1592	D₄	—	8	8	no	—
1593	D₄	—	8	8	no	—
1594	D₄	—	8	8	no	—
1595	D₄	—	8	8	no	—
1596	D₄	—	8	8	no	—
1597	D₄	—	8	4	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	2	no	—
1601	C₂×C₄	—	2	2	no	—
1602	C₂×C₄	—	2	2	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	8	no	—
1606	C₂×C₄	—	2	8	no	—
1607	C₂×C₄	—	2	16	no	—
1608	C₂×C₄	—	2	4	no	—
1609	C₂×C₄	—	2	4	no	—
1610	C₂×C₄	—	2	2	no	—
1611	C₂×C₄	—	2	2	no	—
1612	C₂×C₄	—	2	4	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	2	no	—
1616	C₂×C₄	—	2	2	no	—
1617	C₂×C₄	—	2	2	no	—
1618	C₂×C₄	—	2	2	no	—
1619	C₂×C₄	—	2	4	no	—
1620	C₂×C₄	—	2	4	no	—
1621	C₂×C₄	—	2	4	no	—
1622	C₂×C₄	—	2	4	no	—
1623	C₂×C₄	—	2	4	no	—
1624	C₂×C₄	—	2	4	no	—
1625	C₂×C₄	—	2	4	no	—
1626	C₂×C₄	—	2	2	no	—
1627	C₂×C₄	—	2	2	no	—
1628	C₂×C₄	—	2	4	no	—
1629	C₂×C₄	—	2	4	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	2	no	—
1635	C₂×C₄	—	2	2	no	—
1636	C₂×C₄	—	2	2	no	—
1637	C₂×C₄	—	2	2	no	—
1638	C₂×C₄	—	2	2	no	—
1639	C₂×C₄	—	2	2	no	—
1640	C₂×C₄	—	2	2	no	—
1641	C₂×C₄	—	2	4	no	—
1642	C₂×C₄	—	2	4	no	—
1643	C₂×C₄	—	2	4	no	—
1644	C₂×C₄	—	2	4	no	—
1645	C₂×C₄	—	2	2	no	—
1646	C₂×C₄	—	2	4	no	—
1647	C₂×C₄	—	2	4	no	—
1648	C₂×C₄	—	2	2	no	—
1649	C₂×C₄	—	2	4	no	—
1650	C₂×C₄	—	2	2	no	—
1651	C₂×C₄	—	2	2	no	—
1652	C₂×C₄	—	2	4	no	—
1653	C₂×C₄	—	2	4	no	—
1654	C₂×C₄	—	2	2	no	—
1655	C₂×C₄	—	2	2	no	—
1656	C₂×C₄	—	4	8	no	—
1657	C₂×C₄	—	4	4	no	—
1658	C₂×C₄	—	4	8	no	—
1659	C₂×C₄	—	4	8	no	—
1660	C₂×C₄	—	4	8	no	—
1661	C₂×C₄	—	4	4	no	—
1662	C₂×C₄	—	4	4	no	—
1663	C₂×C₄	—	4	8	no	—
1664	C₂×C₄	—	4	8	no	—
1665	C₂×C₄	—	4	4	no	—
1666	C₂×C₄	—	4	8	no	—
1667	C₂×C₄	—	4	8	no	—
1668	C₂×C₄	—	4	8	no	—
1669	C₂×C₄	—	4	4	no	—
1670	C₂×C₄	—	4	8	no	—
1671	C₂×C₄	—	4	4	no	—
1672	C₂×C₄	—	4	4	no	—
1673	C₂×C₄	—	4	4	no	—
1674	C₂×C₄	—	4	4	no	—
1675	C₂×C₄	—	8	2	no	—
1676	C₂×C₄	—	8	2	no	—
1677	C₂×C₄	—	8	8	no	—
1678	C₂×C₄	—	8	8	no	—
1679	C₂×C₄	—	8	2	no	—
1680	C₂×C₄	—	8	4	no	—
1681	C₂×C₄	—	8	2	no	—
1682	C₂×C₄	—	8	4	no	—
1683	C₂×C₄	—	8	4	no	—
1684	C₂×C₄	—	16	4	no	—
1685	C₂×C₄	—	16	4	no	—
1686	C₂×C₄	C₂²×#41	1	2	yes	—
1687	C₂×C₄	C₂²×#41	1	2	yes	—
1688	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1689	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1690	C₂×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1691	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1692	C₂²	—	2	2	no	—
1693	C₂²	—	2	4	no	—
1694	C₂²	—	2	4	no	—
1695	C₂²	—	2	2	no	—
1696	C₂²	—	2	4	no	—
1697	C₂²	—	2	2	no	—
1698	C₂²	—	2	2	no	—
1699	C₂²	—	2	2	no	—
1700	C₂²	—	2	2	no	—
1701	C₂²	—	2	4	no	—
1702	C₂²	—	2	4	no	—
1703	C₂²	—	2	4	no	—
1704	C₂²	—	2	4	no	—
1705	C₂²	—	2	4	no	—
1706	C₂²	—	2	4	no	—
1707	C₂²	—	2	4	no	—
1708	C₂²	—	2	4	no	—
1709	C₂²	—	2	4	no	—
1710	C₂²	—	4	32	no	—
1711	C₂²	—	4	16	no	—
1712	C₂²	—	4	16	no	—
1713	C₂²	—	4	32	no	—
1714	C₂²	—	4	16	no	—
1715	C₂²	—	4	1	no	—
1716	C₂²	—	4	1	no	—
1717	C₂²	—	4	2	no	—
1718	C₂²	—	4	1	no	—
1719	C₂²	—	4	1	no	—
1720	C₂²	—	4	2	no	—
1721	C₂²	—	4	2	no	—
1722	C₂²	—	4	2	no	—
1723	C₂²	—	4	2	no	—
1724	C₂²	—	4	2	no	—
1725	C₂²	—	4	2	no	—
1726	C₂²	—	4	2	no	—
1727	C₂²	—	4	2	no	—
1728	C₂²	—	4	2	no	—
1729	C₂²	—	4	2	no	—
1730	C₂²	—	4	2	no	—
1731	C₂²	—	4	1	no	—
1732	C₂²	—	4	1	no	—
1733	C₂²	—	4	1	no	—
1734	C₂²	—	4	1	no	—
1735	C₂²	—	4	4	no	—
1736	C₂²	—	4	4	no	—
1737	C₂²	—	4	4	no	—
1738	C₂²	—	4	4	no	—
1739	C₂²	—	4	4	no	—
1740	C₂²	—	4	4	no	—
1741	C₂²	—	4	4	no	—
1742	C₂²	—	8	8	no	—
1743	C₂²	#3505	1	4	yes	—
1744	C₂²	C₂³×#41	1	1	yes	characteristic
1745	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1746	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1747	C₂²	C₂×#585	1	2	yes	—
1748	C₂²	C₂×#585	1	1	yes	characteristic
1749	C₄	—	2	2	no	—
1750	C₄	—	2	2	no	—
1751	C₄	—	2	2	no	—
1752	C₄	—	2	4	no	—
1753	C₄	—	4	1	no	—
1754	C₄	—	4	4	no	—
1755	C₄	—	4	1	no	—
1756	C₄	—	4	4	no	—
1757	C₄	—	4	2	no	—
1758	C₄	—	4	2	no	—
1759	C₄	—	4	4	no	—
1760	C₄	—	4	4	no	—
1761	C₄	—	4	2	no	—
1762	C₄	—	4	2	no	—
1763	C₄	—	4	4	no	—
1764	C₄	—	4	4	no	—
1765	C₄	—	4	1	no	—
1766	C₄	—	4	2	no	—
1767	C₄	—	4	1	no	—
1768	C₄	—	4	1	no	—
1769	C₄	—	4	1	no	—
1770	C₄	—	4	4	no	—
1771	C₄	#3532	1	4	yes	—
1772	C₂	—	2	4	no	—
1773	C₂	—	4	4	no	—
1774	C₂	—	4	2	no	—
1775	C₂	—	4	2	no	—
1776	C₂	—	4	4	no	—
1777	C₂	—	4	2	no	—
1778	C₂	—	4	2	no	—
1779	C₂	—	8	4	no	—
1780	C₂	C₂×#3532	1	1	yes	characteristic
1781	C₂	#62729	1	1	yes	characteristic
1782	C₂	C₂×#3505	1	1	yes	characteristic
1783	C₂	#62773	1	2	yes	—
1784	C₂	#62821	1	2	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁶
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #60032	C₂	semidirect
2. #60031	C₂	semidirect
3. #59202	C₂	semidirect
4. #59020	C₂	semidirect
5. #59001	C₂	semidirect
6. #45693	C₂	semidirect
7. #45681	C₂	semidirect
8. #45667	C₂	semidirect
9. #45599	C₂	semidirect
10. #45598	C₂	semidirect
11. #40358	C₂	semidirect
12. #40356	C₂	semidirect
13. #39910	C₂	semidirect
14. #39908	C₂	semidirect
15. #39862	C₂	semidirect
16. #39860	C₂	semidirect
17. #39048	C₂	semidirect
18. #39037	C₂	semidirect
19. #37458	C₂	semidirect
20. #36725	C₂	semidirect
21. #36702	C₂	semidirect
22. #36614	C₂	semidirect
23. #36207	C₂	semidirect
24. #36157	C₂	semidirect
25. #36147	C₂	semidirect
26. #36097	C₂	semidirect
27. #35165	C₂	semidirect
28. #35023	C₂	semidirect
29. #35010	C₂	semidirect
30. #34406	C₂	semidirect
31. C₂×C₄×#120	C₂	semidirect
33. C₂×#553	C₂²	semidirect
34. C₂×#548	C₂²	semidirect
36. C₂×#532	C₂²	semidirect
38. C₂×#525	C₂²	semidirect
39. C₂×#525	C₂²	semidirect
40. C₂²×C₂²⋊Q₈	C₂²	semidirect
44. #2855	C₂²	semidirect
45. #2851	C₂²	semidirect
46. #2850	C₂²	semidirect
48. #2849	C₂²	semidirect
49. #2849	C₂²	semidirect
52. #2848	C₂²	semidirect
53. #2848	C₂²	semidirect
56. #2847	C₂²	semidirect
57. #2847	C₂²	semidirect
58. #2847	C₂²	semidirect
60. #2835	C₂²	semidirect
61. #2827	C₂²	semidirect
62. #2826	C₂²	semidirect
63. #2782	C₂²	semidirect
64. #2778	C₂²	semidirect
65. #2764	C₂²	semidirect
66. #2763	C₂²	semidirect
67. #2750	C₂²	semidirect
68. #2749	C₂²	semidirect
69. #2749	C₂²	semidirect
70. #2748	C₂²	semidirect
71. #2746	C₂²	semidirect
72. #2743	C₂²	semidirect
73. #2736	C₂²	semidirect
74. #2735	C₂²	semidirect
75. #2735	C₂²	semidirect
76. #2717	C₂²	semidirect
77. #2708	C₂²	semidirect
78. #2706	C₂²	semidirect
79. #2703	C₂²	semidirect
80. #2697	C₂²	semidirect
81. #2691	C₂²	semidirect
82. #2688	C₂²	semidirect
83. #2685	C₂²	semidirect
84. #2685	C₂²	semidirect
88. #2684	C₂²	semidirect
89. #2678	C₂²	semidirect
90. #2670	C₂²	semidirect
98. #2668	C₂²	semidirect
99. #2652	C₂²	semidirect
100. #2649	C₂²	semidirect
101. #2643	C₂²	semidirect
102. #2638	C₂²	semidirect
103. #2636	C₂²	semidirect
104. #2627	C₂²	semidirect
108. #2617	C₂²	semidirect
109. #2603	C₂²	semidirect
110. #2600	C₂²	semidirect
111. #2597	C₂²	semidirect
112. #2595	C₂²	semidirect
113. #2589	C₂²	semidirect
114. #2579	C₂²	semidirect
115. #2579	C₂²	semidirect
116. #2578	C₂²	semidirect
117. #2578	C₂²	semidirect
118. #2578	C₂²	semidirect
119. #2576	C₂²	semidirect
120. #2576	C₂²	semidirect
121. #2575	C₂²	semidirect
122. #2564	C₂²	semidirect
123. #2564	C₂²	semidirect
124. #2564	C₂²	semidirect
125. #2562	C₂²	semidirect
126. #2559	C₂²	semidirect
127. #2557	C₂²	semidirect
128. #2553	C₂²	semidirect
129. #2547	C₂²	semidirect
130. #2547	C₂²	semidirect
131. #2544	C₂²	semidirect
132. #2544	C₂²	semidirect
133. #2541	C₂²	semidirect
134. #2541	C₂²	semidirect
135. #2540	C₂²	semidirect
136. #2537	C₂²	semidirect
137. #2537	C₂²	semidirect
138. #2536	C₂²	semidirect
139. #2535	C₂²	semidirect
140. #2535	C₂²	semidirect
141. #2535	C₂²	semidirect
142. #2535	C₂²	semidirect
143. #2527	C₂²	semidirect
144. #2517	C₂²	semidirect
145. #2517	C₂²	semidirect
146. #2515	C₂²	semidirect
147. #2505	C₂²	semidirect
148. #2499	C₂²	semidirect
149. #2496	C₂²	semidirect
150. #2495	C₂²	semidirect
151. #2495	C₂²	semidirect
152. #2494	C₂²	semidirect
153. #2492	C₂²	semidirect
154. #2490	C₂²	semidirect
155. #2489	C₂²	semidirect
156. #2489	C₂²	semidirect
157. #2487	C₂²	semidirect
158. #2487	C₂²	semidirect
159. #2487	C₂²	semidirect
160. #2485	C₂²	semidirect
162. #2481	C₂²	semidirect
165. #2467	C₂²	semidirect
166. #2466	C₂²	semidirect
167. #2463	C₂²	semidirect
168. #2463	C₂²	semidirect
169. #2461	C₂²	semidirect
170. #2461	C₂²	semidirect
171. #2459	C₂²	semidirect
172. #2457	C₂²	semidirect
173. #2457	C₂²	semidirect
174. #2457	C₂²	semidirect
175. #2456	C₂²	semidirect
176. #2449	C₂²	semidirect
177. #2444	C₂²	semidirect
178. #2444	C₂²	semidirect
179. #2443	C₂²	semidirect
180. #2441	C₂²	semidirect
181. #2439	C₂²	semidirect
182. #2431	C₂²	semidirect
183. #2428	C₂²	semidirect
184. #2427	C₂²	semidirect
185. #2427	C₂²	semidirect
186. #2426	C₂²	semidirect
188. #2423	C₂²	semidirect
189. #2421	C₂²	semidirect
190. #2420	C₂²	semidirect
191. #2420	C₂²	semidirect
192. #2420	C₂²	semidirect
193. #2419	C₂²	semidirect
195. #2417	C₂²	semidirect
196. #2417	C₂²	semidirect
197. #2416	C₂²	semidirect
198. #2416	C₂²	semidirect
199. #2415	C₂²	semidirect
200. #2414	C₂²	semidirect
203. #2409	C₂²	semidirect
204. #2409	C₂²	semidirect
205. #2409	C₂²	semidirect
206. #2407	C₂²	semidirect
208. #2380	C₂²	semidirect
209. #2379	C₂²	semidirect
210. #2377	C₂²	semidirect
211. #2373	C₂²	semidirect
212. #2372	C₂²	semidirect
213. #2366	C₂²	semidirect
214. #2364	C₂²	semidirect
215. #2364	C₂²	semidirect
216. #2364	C₂²	semidirect
217. #2363	C₂²	semidirect
218. #2362	C₂²	semidirect
219. #2361	C₂²	semidirect
220. #2358	C₂²	semidirect
221. #2358	C₂²	semidirect
222. #2352	C₂²	semidirect
223. #2352	C₂²	semidirect
224. #2346	C₂²	semidirect
225. #2343	C₂²	semidirect
226. #2339	C₂²	semidirect
227. #2339	C₂²	semidirect
228. #2337	C₂²	semidirect
229. #2333	C₂²	semidirect
230. #2328	C₂²	semidirect
231. #2325	C₂²	semidirect
233. #2318	C₂²	semidirect
234. #2315	C₂²	semidirect
235. #2311	C₂²	semidirect
237. C₄×C₂²⋊Q₈	C₂²	semidirect
238. C₄×#121	C₂²	semidirect
253. C₄×#120	C₂²	semidirect
254. C₄×#120	C₂²	semidirect
259. #2285	C₂²	semidirect
261. #2280	C₂²	semidirect
262. #2280	C₂²	semidirect
263. C₂×#380	C₂²	semidirect
270. C₂³×Q₈	C₂³	semidirect
290. C₂×C₄⋊Q₈	C₂³	semidirect
293. C₂×#127	C₂³	semidirect
295. C₂×#126	C₂³	semidirect
296. C₂×#125	C₂³	semidirect
300. C₂×#124	C₂³	semidirect
301. C₂×#124	C₂³	semidirect
317. C₂×C₂²⋊Q₈	C₂³	semidirect
318. C₂×C₂²⋊Q₈	C₂³	semidirect
319. C₂×C₂²⋊Q₈	C₂³	semidirect
334. C₂×#121	C₂³	semidirect
335. C₂×#121	C₂³	semidirect
351. C₂×C₄×Q₈	C₂³	semidirect
377. C₂×C₄×D₄	C₂³	semidirect
378. C₂×C₄×D₄	C₂³	semidirect
379. C₂×C₄×D₄	C₂³	semidirect
380. C₂×C₄×D₄	C₂³	semidirect
381. C₂×C₄×D₄	C₂³	semidirect
388. C₂²×C₄⋊C₄	C₂³	semidirect
389. C₂²×C₄⋊C₄	C₂³	semidirect
390. C₂²×C₄⋊C₄	C₂³	semidirect
403. #401	C₂³	semidirect
404. #400	C₂³	semidirect
405. #400	C₂³	semidirect
406. #400	C₂³	semidirect
407. #400	C₂³	semidirect
408. #400	C₂³	semidirect
409. #400	C₂³	semidirect
410. #400	C₂³	semidirect
411. #400	C₂³	semidirect
412. #400	C₂³	semidirect
413. #400	C₂³	semidirect
414. #400	C₂³	semidirect
420. #399	C₂³	semidirect
421. #398	C₂³	semidirect
422. #398	C₂³	semidirect
423. #398	C₂³	semidirect
424. #398	C₂³	semidirect
438. #397	C₂³	semidirect
439. #397	C₂³	semidirect
440. #397	C₂³	semidirect
441. #397	C₂³	semidirect
442. #397	C₂³	semidirect
443. #397	C₂³	semidirect
444. #397	C₂³	semidirect
445. #397	C₂³	semidirect
450. #396	C₂³	semidirect
451. #396	C₂³	semidirect
452. #396	C₂³	semidirect
453. #395	C₂³	semidirect
454. #395	C₂³	semidirect
455. #395	C₂³	semidirect
472. #394	C₂³	semidirect
473. #394	C₂³	semidirect
474. #394	C₂³	semidirect
489. #392	C₂³	semidirect
490. #392	C₂³	semidirect
491. #391	C₂³	semidirect
492. #391	C₂³	semidirect
493. #391	C₂³	semidirect
494. #391	C₂³	semidirect
495. #391	C₂³	semidirect
496. #391	C₂³	semidirect
497. #391	C₂³	semidirect
498. #391	C₂³	semidirect
503. #390	C₂³	semidirect
504. #390	C₂³	semidirect
505. #390	C₂³	semidirect
506. #390	C₂³	semidirect
507. #390	C₂³	semidirect
508. #390	C₂³	semidirect
509. #389	C₂³	semidirect
510. #389	C₂³	semidirect
511. #389	C₂³	semidirect
512. #389	C₂³	semidirect
513. #389	C₂³	semidirect
514. #389	C₂³	semidirect
515. #389	C₂³	semidirect
516. #389	C₂³	semidirect
533. #388	C₂³	semidirect
534. #388	C₂³	semidirect
535. #388	C₂³	semidirect
536. #388	C₂³	semidirect
537. #388	C₂³	semidirect
538. #388	C₂³	semidirect
539. #388	C₂³	semidirect
540. #388	C₂³	semidirect
541. #388	C₂³	semidirect
542. #388	C₂³	semidirect
543. #388	C₂³	semidirect
544. #387	C₂³	semidirect
545. #387	C₂³	semidirect
546. #387	C₂³	semidirect
547. #387	C₂³	semidirect
548. #387	C₂³	semidirect
549. #387	C₂³	semidirect
550. #387	C₂³	semidirect
551. #387	C₂³	semidirect
552. #387	C₂³	semidirect
553. #387	C₂³	semidirect
554. #387	C₂³	semidirect
555. #387	C₂³	semidirect
556. #387	C₂³	semidirect
557. #387	C₂³	semidirect
558. #387	C₂³	semidirect
559. #387	C₂³	semidirect
560. #387	C₂³	semidirect
609. #386	C₂³	semidirect
610. #386	C₂³	semidirect
611. #386	C₂³	semidirect
612. #386	C₂³	semidirect
613. #386	C₂³	semidirect
614. #386	C₂³	semidirect
615. #386	C₂³	semidirect
616. #386	C₂³	semidirect
617. #386	C₂³	semidirect
648. #385	C₂³	semidirect
649. #385	C₂³	semidirect
650. #385	C₂³	semidirect
651. #385	C₂³	semidirect
652. #385	C₂³	semidirect
653. #385	C₂³	semidirect
654. #385	C₂³	semidirect
655. #384	C₂³	semidirect
656. #383	C₂³	semidirect
657. #383	C₂³	semidirect
658. #382	C₂³	semidirect
659. #382	C₂³	semidirect
660. #382	C₂³	semidirect
661. #382	C₂³	semidirect
662. #382	C₂³	semidirect
663. #382	C₂³	semidirect
668. #381	C₂³	semidirect
669. #381	C₂³	semidirect
670. #381	C₂³	semidirect
685. #380	C₂³	semidirect
686. #380	C₂³	semidirect
687. #380	C₂³	semidirect
688. #380	C₂³	semidirect
689. #380	C₂³	semidirect
690. #380	C₂³	semidirect
691. #380	C₂³	semidirect
692. #380	C₂³	semidirect
693. #380	C₂³	semidirect
694. #380	C₂³	semidirect
695. #380	C₂³	semidirect
709. C₄×C₄⋊C₄	C₂³	semidirect
710. C₄×C₄⋊C₄	C₂³	semidirect
711. C₄×C₄⋊C₄	C₂³	semidirect
712. C₄×C₄⋊C₄	C₂³	semidirect
713. C₄×C₄⋊C₄	C₂³	semidirect
714. C₄×C₄⋊C₄	C₂³	semidirect
715. C₄×C₄⋊C₄	C₂³	semidirect
737. C₄×C₂²⋊C₄	C₂³	semidirect
738. C₄×C₂²⋊C₄	C₂³	semidirect
739. C₄×C₂²⋊C₄	C₂³	semidirect
740. C₄×C₂²⋊C₄	C₂³	semidirect
741. #376	C₂³	semidirect
745. C₂×#95	C₂³	semidirect
746. C₂×#95	C₂³	semidirect
774. C₂²×D₄	#41	semidirect

Maximal subgroups

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

subgroup	index
#60032	2
#60031	2
#59202	2
#59020	2
#59001	2
#45693	2
#45681	2
#45667	2
#45599	2
#45598	2
#40358	2
#40356	2
#39910	2
#39908	2
#39862	2
#39860	2
#39048	2
#39037	2
#37458	2
#36725	2
#36702	2
#36614	2
#36207	2
#36157	2
#36147	2
#36097	2
#35165	2
#35023	2
#35010	2
#34406	2
C₂×C₄×#120	2