Subgroups — #7718113

Order 512.

11000 conjugacy classes of subgroups.

The subgroup lattice has 1366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3543	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
3	#52031	C₂	1	8	yes	maximal, complemented
4	#52008	C₂	1	4	yes	maximal, complemented
5	#52004	C₂	1	4	yes	maximal, complemented
6	#45355	C₂	1	2	yes	maximal, complemented
7	#45140	C₂	1	2	yes	maximal, complemented
8	#44936	C₂	1	2	yes	maximal, complemented
9	#44932	C₂	1	2	yes	maximal, complemented
10	#44881	C₂	1	4	yes	maximal, complemented
11	#44877	C₂	1	4	yes	maximal, complemented
12	#39466	C₂	1	2	yes	maximal, complemented
13	#39338	C₂	1	2	yes	maximal, complemented
14	#37832	C₂	1	4	yes	maximal, complemented
15	#37644	C₂	1	4	yes	maximal, complemented
16	#37117	C₂	1	4	yes	maximal, complemented
17	#36152	C₂	1	2	yes	maximal, complemented
18	D₄×#120	C₂	1	2	yes	maximal, complemented
19	#35233	C₂	1	1	yes	maximal, characteristic, complemented
20	#35232	C₂	1	1	yes	maximal, characteristic, complemented
21	#35102	C₂	1	1	yes	maximal, characteristic, complemented
22	#34980	C₂	1	4	yes	maximal, complemented
23	#34593	C₂	1	1	yes	maximal, characteristic, complemented
24	#34364	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂⁴×D₄	C₂²	1	2	yes	complemented
26	C₂⁴×D₄	C₂²	1	2	yes	complemented
27	#3543	—	2	16	no	—
28	C₂×#560	C₂²	1	4	yes	complemented
29	C₂×#559	C₂²	1	1	yes	characteristic, complemented
30	C₂×#550	C₂²	1	1	yes	characteristic, complemented
31	C₂×#550	C₂²	1	1	yes	characteristic, complemented
32	C₂×#546	C₂²	1	2	yes	complemented
33	C₂×#546	C₂²	1	2	yes	complemented
34	C₂×#546	C₂²	1	4	yes	complemented
35	C₂×D₄²	—	2	16	no	—
36	C₂×D₄²	C₂²	1	2	yes	—
37	C₂×D₄²	C₂²	1	4	yes	complemented
38	C₂×D₄²	C₂²	1	4	yes	complemented
39	C₂×D₄²	C₂²	1	4	yes	complemented
40	C₂×D₄²	C₂²	1	2	yes	complemented
41	C₂×D₄²	C₂²	1	2	yes	complemented
42	C₂×D₄²	C₂²	1	2	yes	complemented
43	C₂×D₄²	C₂²	1	4	yes	complemented
44	C₂×D₄²	C₂²	1	1	yes	characteristic, complemented
45	C₂×#540	C₂²	1	2	yes	complemented
46	C₂×#540	C₂²	1	2	yes	complemented
47	C₂×#535	C₂²	1	2	yes	complemented
48	C₂×#535	C₂²	1	2	yes	complemented
49	C₂×#534	C₂²	1	4	yes	complemented
50	C₂×#534	C₂²	1	4	yes	complemented
51	C₂²×#127	C₂²	1	1	yes	characteristic
52	C₂×#529	C₂²	1	1	yes	characteristic, complemented
53	C₂×#529	C₂²	1	1	yes	characteristic, complemented
54	C₂²×#121	C₂²	1	2	yes	complemented
55	C₂²×#121	C₂²	1	2	yes	complemented
56	C₂²×#120	C₂²	1	4	yes	complemented
57	C₂²×#120	C₂²	1	4	yes	complemented
58	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
59	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
60	#2849	C₂²	1	4	yes	complemented
61	#2849	C₂²	1	4	yes	complemented
62	#2848	C₂²	1	2	yes	complemented
63	#2847	C₂²	1	2	yes	complemented
64	#2846	C₂²	1	4	yes	complemented
65	#2846	C₂²	1	4	yes	complemented
66	#2708	C₂²	1	8	yes	complemented
67	#2708	C₂²	1	8	yes	complemented
68	#2708	C₂²	1	8	yes	complemented
69	#2697	C₂²	1	8	yes	complemented
70	#2688	C₂²	1	8	yes	complemented
71	#2688	C₂²	1	8	yes	complemented
72	#2688	C₂²	1	8	yes	complemented
73	#2684	C₂²	1	8	yes	complemented
74	#2679	C₂²	1	8	yes	complemented
75	#2678	C₂²	1	8	yes	complemented
76	#2678	C₂²	1	8	yes	complemented
77	#2671	C₂²	1	8	yes	complemented
78	#2671	C₂²	1	8	yes	complemented
79	#2671	C₂²	1	8	yes	complemented
80	#2669	C₂²	1	8	yes	complemented
81	#2668	C₂²	1	8	yes	complemented
82	#2668	C₂²	1	8	yes	complemented
83	#2668	C₂²	1	8	yes	complemented
84	#2668	C₂²	1	8	yes	complemented
85	#2668	C₂²	1	8	yes	complemented
86	#2636	C₂²	1	4	yes	complemented
87	#2636	C₂²	1	4	yes	complemented
88	#2633	C₂²	1	2	yes	complemented
89	#2633	C₂²	1	2	yes	complemented
90	#2631	C₂²	1	2	yes	complemented
91	#2631	C₂²	1	2	yes	complemented
92	#2626	C₂²	1	2	yes	complemented
93	#2623	C₂²	1	2	yes	complemented
94	#2623	C₂²	1	2	yes	complemented
95	#2617	C₂²	1	2	yes	complemented
96	#2613	C₂²	1	2	yes	complemented
97	#2613	C₂²	1	2	yes	complemented
98	#2613	C₂²	1	4	yes	complemented
99	#2613	C₂²	1	4	yes	complemented
100	#2603	C₂²	1	4	yes	complemented
101	#2603	C₂²	1	4	yes	complemented
102	#2598	C₂²	1	4	yes	complemented
103	#2598	C₂²	1	4	yes	complemented
104	#2580	C₂²	1	2	yes	complemented
105	#2566	C₂²	1	2	yes	complemented
106	#2562	C₂²	1	2	yes	complemented
107	#2561	C₂²	1	2	yes	complemented
108	#2544	C₂²	1	2	yes	complemented
109	#2540	C₂²	1	2	yes	complemented
110	#2539	C₂²	1	2	yes	complemented
111	#2537	C₂²	1	4	yes	complemented
112	#2536	C₂²	1	2	yes	complemented
113	#2535	C₂²	1	2	yes	complemented
114	#2535	C₂²	1	2	yes	complemented
115	#2535	C₂²	1	4	yes	complemented
116	#2534	C₂²	1	4	yes	complemented
117	#2534	C₂²	1	8	yes	complemented
118	#2503	C₂²	1	1	yes	characteristic, complemented
119	#2501	C₂²	1	1	yes	characteristic, complemented
120	#2486	C₂²	1	2	yes	complemented
121	#2483	C₂²	1	4	yes	complemented
122	#2435	C₂²	1	1	yes	characteristic, complemented
123	#2435	C₂²	1	4	yes	complemented
124	#2433	C₂²	1	1	yes	characteristic
125	#2433	C₂²	1	4	yes	complemented
126	#2428	C₂²	1	4	yes	complemented
127	#2427	C₂²	1	4	yes	complemented
128	#2424	C₂²	1	8	yes	complemented
129	#2424	C₂²	1	8	yes	complemented
130	#2422	C₂²	1	4	yes	complemented
131	#2420	C₂²	1	4	yes	complemented
132	#2418	C₂²	1	8	yes	complemented
133	#2418	C₂²	1	8	yes	complemented
134	#2412	C₂²	1	4	yes	complemented
135	#2412	C₂²	1	4	yes	complemented
136	#2410	C₂²	1	4	yes	complemented
137	#2410	C₂²	1	4	yes	complemented
138	#2410	C₂²	1	8	yes	complemented
139	#2410	C₂²	1	8	yes	complemented
140	#2410	C₂²	1	8	yes	complemented
141	#2410	C₂²	1	8	yes	complemented
142	#2410	C₂²	1	8	yes	complemented
143	#2410	C₂²	1	8	yes	complemented
144	#2408	C₂²	1	2	yes	complemented
145	#2408	C₂²	1	8	yes	complemented
146	#2408	C₂²	1	4	yes	complemented
147	#2408	C₂²	1	4	yes	complemented
148	#2408	C₂²	1	4	yes	complemented
149	#2407	C₂²	1	4	yes	complemented
150	#2405	C₂²	1	4	yes	complemented
151	#2405	C₂²	1	4	yes	complemented
152	#2405	C₂²	1	8	yes	complemented
153	#2405	C₂²	1	8	yes	complemented
154	#2405	C₂²	1	8	yes	complemented
155	#2404	C₂²	1	8	yes	complemented
156	#2403	C₂²	1	4	yes	complemented
157	#2403	C₂²	1	8	yes	complemented
158	#2403	C₂²	1	8	yes	complemented
159	#2403	C₂²	1	8	yes	complemented
160	#2403	C₂²	1	8	yes	complemented
161	#2398	C₂²	1	2	yes	complemented
162	#2397	C₂²	1	2	yes	complemented
163	#2392	C₂²	1	4	yes	complemented
164	#2380	C₂²	1	4	yes	complemented
165	#2366	C₂²	1	4	yes	complemented
166	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
167	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
168	D₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
169	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
170	D₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
171	#2328	C₂²	1	2	yes	complemented
172	#2328	C₂²	1	2	yes	complemented
173	#2328	C₂²	1	4	yes	complemented
174	#2328	C₂²	1	2	yes	complemented
175	#2326	C₂²	1	2	yes	complemented
176	#2324	C₂²	1	4	yes	complemented
177	#2321	C₂²	1	4	yes	complemented
178	#2308	C₂²	1	4	yes	complemented
179	#2308	C₂²	1	4	yes	complemented
180	C₄×#120	C₂²	1	2	yes	complemented
181	C₄×#120	C₂²	1	2	yes	complemented
182	#2283	C₂²	1	1	yes	characteristic, complemented
183	#2283	C₂²	1	1	yes	characteristic, complemented
184	C₂×#379	C₂²	1	4	yes	complemented
185	C₂⁶	C₂³	1	4	yes	—
186	C₂²×#41	C₂³	1	2	yes	complemented
187	C₂²×#41	C₂³	1	2	yes	complemented
188	C₂³×D₄	—	2	16	no	—
189	C₂³×D₄	—	2	16	no	—
190	C₂³×D₄	—	4	16	no	—
191	C₂³×D₄	—	4	16	no	—
192	C₂³×D₄	C₂³	1	1	yes	characteristic
193	C₂³×D₄	C₂³	1	1	yes	characteristic
194	C₂³×D₄	C₂³	1	4	yes	—
195	C₂³×D₄	C₂³	1	4	yes	—
196	C₂³×D₄	C₂³	1	4	yes	—
197	C₂³×D₄	C₂³	1	4	yes	—
198	C₂³×D₄	C₂³	1	4	yes	—
199	C₂³×D₄	C₂³	1	8	yes	—
200	C₂³×D₄	C₂³	1	8	yes	—
201	C₂³×D₄	C₂³	1	4	yes	—
202	C₂³×D₄	C₂³	1	4	yes	—
203	C₂³×D₄	C₂³	1	2	yes	—
204	C₂³×D₄	C₂³	1	2	yes	—
205	C₂³×D₄	C₂³	1	2	yes	—
206	C₂³×D₄	C₂³	1	2	yes	complemented
207	C₂³×D₄	C₂³	1	2	yes	complemented
208	C₂³×D₄	C₂³	1	8	yes	complemented
209	C₂⁴×C₄	C₂³	1	2	yes	—
210	C₂⁴×C₄	C₂³	1	2	yes	—
211	#560	—	2	32	no	—
212	#559	—	2	8	no	—
213	#550	—	2	8	no	—
214	#550	—	2	8	no	—
215	#546	—	2	16	no	—
216	#546	—	2	16	no	—
217	#546	—	4	16	no	—
218	D₄²	—	2	16	no	—
219	D₄²	—	2	16	no	—
220	D₄²	—	2	16	no	—
221	D₄²	—	2	8	no	—
222	D₄²	—	2	32	no	—
223	D₄²	—	2	32	no	—
224	D₄²	—	2	16	no	—
225	D₄²	—	2	32	no	—
226	D₄²	—	4	16	no	—
227	#540	—	2	16	no	—
228	#540	—	2	16	no	—
229	#535	—	2	16	no	—
230	#535	—	2	16	no	—
231	#534	—	2	32	no	—
232	#534	—	4	16	no	—
233	C₂×#127	D₄	1	16	yes	complemented
234	C₂×#127	C₂³	1	2	yes	—
235	C₂×#127	C₂³	1	1	yes	characteristic
236	C₂×#127	C₂³	1	1	yes	characteristic
237	C₂×#127	C₂³	1	2	yes	—
238	C₂×#127	C₂³	1	2	yes	—
239	C₂×#127	C₂³	1	2	yes	—
240	C₂×#127	C₂³	1	2	yes	complemented
241	C₂×#127	C₂³	1	2	yes	complemented
242	#529	—	2	8	no	—
243	#529	—	2	8	no	—
244	C₂×#126	C₂³	1	2	yes	complemented
245	C₂×#126	C₂³	1	2	yes	complemented
246	C₂×#125	C₂³	1	1	yes	characteristic, complemented
247	C₂×#125	C₂³	1	1	yes	characteristic, complemented
248	C₂×#124	C₂³	1	2	yes	—
249	C₂×#124	C₂³	1	1	yes	characteristic, complemented
250	C₂×#124	C₂³	1	1	yes	characteristic, complemented
251	C₂×#124	C₂³	1	2	yes	complemented
252	C₂×#124	C₂³	1	2	yes	complemented
253	C₂×#123	C₂³	1	2	yes	—
254	C₂×#123	C₂³	1	2	yes	—
255	C₂×#123	C₂³	1	4	yes	—
256	C₂×#123	C₂³	1	4	yes	—
257	C₂×#123	C₂³	1	4	yes	complemented
258	C₂×#123	C₂³	1	4	yes	complemented
259	C₂×#123	C₂³	1	4	yes	complemented
260	C₂×#123	C₂³	1	4	yes	complemented
261	C₂×#123	C₂³	1	8	yes	complemented
262	C₂×#123	C₂³	1	8	yes	complemented
263	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊Q₈	C₂³	1	4	yes	complemented
266	C₂×#121	—	2	16	no	—
267	C₂×#121	—	2	16	no	—
268	C₂×#121	C₂³	1	4	yes	—
269	C₂×#121	C₂³	1	1	yes	characteristic
270	C₂×#121	C₂³	1	1	yes	characteristic
271	C₂×#121	C₂³	1	4	yes	—
272	C₂×#121	C₂³	1	4	yes	—
273	C₂×#121	C₂³	1	4	yes	—
274	C₂×#121	C₂³	1	8	yes	—
275	C₂×#121	C₂³	1	8	yes	—
276	C₂×#121	C₂³	1	4	yes	—
277	C₂×#121	C₂³	1	2	yes	complemented
278	C₂×#121	C₂³	1	2	yes	complemented
279	C₂×#121	C₂³	1	4	yes	complemented
280	C₂×#121	C₂³	1	4	yes	complemented
281	C₂×#121	C₂³	1	4	yes	complemented
282	C₂×#121	C₂³	1	4	yes	complemented
283	C₂×#121	C₂³	1	4	yes	complemented
284	C₂×#121	C₂³	1	4	yes	complemented
285	C₂×#121	C₂³	1	2	yes	complemented
286	C₂×#121	C₂³	1	2	yes	complemented
287	C₂×#121	C₂³	1	4	yes	complemented
288	C₂×#121	C₂³	1	4	yes	complemented
289	C₂×#121	C₂³	1	4	yes	complemented
290	C₂×#121	C₂³	1	8	yes	complemented
291	C₂×#121	C₂³	1	8	yes	complemented
292	C₂×#121	C₂³	1	8	yes	complemented
293	C₂×#121	C₂³	1	8	yes	complemented
294	C₂×#120	—	2	32	no	—
295	C₂×#120	—	4	16	no	—
296	C₂×#120	C₂³	1	4	yes	—
297	C₂×#120	C₂³	1	2	yes	—
298	C₂×#120	C₂³	1	4	yes	—
299	C₂×#120	C₂³	1	4	yes	—
300	C₂×#120	C₂³	1	2	yes	—
301	C₂×#120	C₂³	1	8	yes	—
302	C₂×#120	C₂³	1	8	yes	—
303	C₂×#120	C₂³	1	8	yes	—
304	C₂×#120	C₂³	1	8	yes	—
305	C₂×#120	C₂³	1	4	yes	—
306	C₂×#120	C₂³	1	4	yes	—
307	C₂×#120	C₂³	1	4	yes	complemented
308	C₂×#120	C₂³	1	4	yes	complemented
309	C₂×#120	C₂³	1	4	yes	complemented
310	C₂×#120	C₂³	1	4	yes	complemented
311	C₂×#120	C₂³	1	8	yes	complemented
312	C₂×#120	C₂³	1	8	yes	complemented
313	C₂×#120	C₂³	1	8	yes	complemented
314	C₂×#120	C₂³	1	8	yes	complemented
315	C₂×#120	C₂³	1	8	yes	complemented
316	C₂×#120	C₂³	1	8	yes	complemented
317	C₂×#120	C₂³	1	8	yes	complemented
318	C₂×#120	C₂³	1	8	yes	complemented
319	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
320	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic, complemented
321	C₂×C₄×D₄	—	2	8	no	—
322	C₂×C₄×D₄	—	2	8	no	—
323	C₂×C₄×D₄	C₂³	1	2	yes	—
324	C₂×C₄×D₄	C₂³	1	2	yes	—
325	C₂×C₄×D₄	C₂³	1	2	yes	—
326	C₂×C₄×D₄	C₂³	1	2	yes	—
327	C₂×C₄×D₄	C₂³	1	2	yes	—
328	C₂×C₄×D₄	C₂³	1	2	yes	—
329	C₂×C₄×D₄	C₂³	1	2	yes	—
330	C₂×C₄×D₄	C₂³	1	2	yes	—
331	C₂×C₄×D₄	C₂³	1	2	yes	—
332	C₂×C₄×D₄	C₂³	1	2	yes	—
333	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
334	C₂×C₄×D₄	C₂³	1	2	yes	complemented
335	C₂×C₄×D₄	C₂³	1	2	yes	complemented
336	C₂×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
337	C₂×C₄×D₄	C₂³	1	2	yes	complemented
338	C₂×C₄×D₄	C₂³	1	2	yes	complemented
339	C₂×C₄×D₄	C₂³	1	4	yes	complemented
340	C₂×C₄×D₄	C₂³	1	4	yes	complemented
341	C₂×C₄×D₄	C₂³	1	4	yes	complemented
342	C₂×C₄×D₄	C₂³	1	4	yes	complemented
343	C₂×C₄×D₄	C₂³	1	8	yes	complemented
344	C₂×#117	C₂³	1	2	yes	complemented
345	C₂×#117	C₂³	1	2	yes	complemented
346	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
347	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
348	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
349	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
350	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
351	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
352	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
353	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
354	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
355	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
356	C₂²×C₂²⋊C₄	C₂³	1	8	yes	complemented
357	C₂²×C₄²	C₂³	1	1	yes	characteristic
358	#400	C₂³	1	4	yes	complemented
359	#400	C₂³	1	4	yes	complemented
360	#400	C₂³	1	4	yes	complemented
361	#399	C₂³	1	4	yes	complemented
362	#399	C₂³	1	4	yes	complemented
363	#399	C₂³	1	4	yes	complemented
364	#399	C₂³	1	4	yes	complemented
365	#399	C₂³	1	4	yes	complemented
366	#398	C₂³	1	4	yes	complemented
367	#398	C₂³	1	4	yes	complemented
368	#398	C₂³	1	4	yes	complemented
369	#397	C₂³	1	4	yes	complemented
370	#397	C₂³	1	4	yes	complemented
371	#397	C₂³	1	4	yes	complemented
372	#397	C₂³	1	4	yes	complemented
373	#397	C₂³	1	4	yes	complemented
374	#397	C₂³	1	8	yes	complemented
375	#397	C₂³	1	8	yes	complemented
376	#397	C₂³	1	8	yes	complemented
377	#397	C₂³	1	8	yes	complemented
378	#396	C₂³	1	8	yes	complemented
379	#396	C₂³	1	4	yes	complemented
380	#396	C₂³	1	4	yes	complemented
381	#394	C₂³	1	4	yes	—
382	#394	C₂³	1	4	yes	—
383	#394	C₂³	1	4	yes	—
384	#394	C₂³	1	4	yes	—
385	#394	C₂³	1	4	yes	—
386	#394	C₂³	1	4	yes	—
387	#394	C₂³	1	8	yes	complemented
388	#394	C₂³	1	8	yes	complemented
389	#394	C₂³	1	8	yes	complemented
390	#394	C₂³	1	8	yes	complemented
391	#394	C₂³	1	4	yes	complemented
392	#394	C₂³	1	4	yes	complemented
393	#394	C₂³	1	8	yes	complemented
394	#394	C₂³	1	8	yes	complemented
395	#394	C₂³	1	8	yes	complemented
396	#394	C₂³	1	8	yes	complemented
397	#394	C₂³	1	8	yes	complemented
398	#394	C₂³	1	8	yes	complemented
399	#394	C₂³	1	8	yes	complemented
400	#394	C₂³	1	8	yes	complemented
401	#394	C₂³	1	8	yes	complemented
402	#393	C₂³	1	4	yes	complemented
403	#393	C₂³	1	4	yes	complemented
404	#392	C₂³	1	4	yes	—
405	#392	C₂³	1	4	yes	—
406	#392	C₂³	1	4	yes	—
407	#392	C₂³	1	4	yes	—
408	#392	C₂³	1	4	yes	—
409	#392	C₂³	1	4	yes	—
410	#392	C₂³	1	8	yes	complemented
411	#392	C₂³	1	8	yes	complemented
412	#392	C₂³	1	8	yes	complemented
413	#392	C₂³	1	8	yes	complemented
414	#392	C₂³	1	4	yes	complemented
415	#392	C₂³	1	4	yes	complemented
416	#392	C₂³	1	8	yes	complemented
417	#392	C₂³	1	8	yes	complemented
418	#392	C₂³	1	8	yes	complemented
419	#392	C₂³	1	8	yes	complemented
420	#391	C₂³	1	2	yes	complemented
421	#390	C₂³	1	2	yes	—
422	#390	C₂³	1	2	yes	—
423	#390	C₂³	1	4	yes	—
424	#390	C₂³	1	8	yes	complemented
425	#390	C₂³	1	8	yes	complemented
426	#390	C₂³	1	4	yes	complemented
427	#390	C₂³	1	4	yes	complemented
428	#390	C₂³	1	8	yes	complemented
429	#390	C₂³	1	2	yes	complemented
430	#389	C₂³	1	4	yes	complemented
431	#388	C₂³	1	8	yes	complemented
432	#388	C₂³	1	8	yes	complemented
433	#388	C₂³	1	8	yes	complemented
434	#388	C₂³	1	8	yes	complemented
435	#386	C₂³	1	4	yes	—
436	#386	C₂³	1	2	yes	—
437	#386	C₂³	1	2	yes	—
438	#386	C₂³	1	8	yes	complemented
439	#386	C₂³	1	8	yes	complemented
440	#386	C₂³	1	8	yes	complemented
441	#386	C₂³	1	8	yes	complemented
442	#386	C₂³	1	8	yes	complemented
443	#386	C₂³	1	8	yes	complemented
444	#386	C₂³	1	8	yes	complemented
445	#386	C₂³	1	8	yes	complemented
446	#386	C₂³	1	8	yes	complemented
447	#386	C₂³	1	8	yes	complemented
448	#386	C₂³	1	8	yes	complemented
449	#386	C₂³	1	8	yes	complemented
450	#386	C₂³	1	8	yes	complemented
451	#386	C₂³	1	8	yes	complemented
452	#386	C₂³	1	8	yes	complemented
453	#386	C₂³	1	8	yes	complemented
454	#386	C₂³	1	8	yes	complemented
455	#386	C₂³	1	8	yes	complemented
456	#386	C₂³	1	8	yes	complemented
457	#386	C₂³	1	8	yes	complemented
458	#386	C₂³	1	8	yes	complemented
459	#386	C₂³	1	8	yes	complemented
460	#386	C₂³	1	8	yes	complemented
461	#386	C₂³	1	4	yes	complemented
462	#386	C₂³	1	4	yes	complemented
463	#386	C₂³	1	8	yes	complemented
464	#386	C₂³	1	8	yes	complemented
465	#385	C₂³	1	4	yes	—
466	#385	C₂³	1	2	yes	—
467	#385	C₂³	1	2	yes	—
468	#385	C₂³	1	8	yes	complemented
469	#385	C₂³	1	8	yes	complemented
470	#385	C₂³	1	8	yes	complemented
471	#385	C₂³	1	8	yes	complemented
472	#385	C₂³	1	8	yes	complemented
473	#385	C₂³	1	4	yes	complemented
474	#385	C₂³	1	4	yes	complemented
475	#385	C₂³	1	8	yes	complemented
476	#385	C₂³	1	8	yes	complemented
477	#384	C₂³	1	2	yes	complemented
478	#383	C₂³	1	2	yes	complemented
479	#383	C₂³	1	2	yes	complemented
480	#382	C₂³	1	2	yes	complemented
481	#382	C₂³	1	2	yes	complemented
482	#382	C₂³	1	2	yes	complemented
483	#381	C₂³	1	4	yes	—
484	#381	C₂³	1	2	yes	—
485	#381	C₂³	1	2	yes	—
486	#381	C₂³	1	4	yes	—
487	#381	C₂³	1	8	yes	complemented
488	#380	C₂³	1	2	yes	—
489	#380	C₂³	1	2	yes	—
490	#380	C₂³	1	4	yes	complemented
491	#380	C₂³	1	4	yes	complemented
492	#380	C₂³	1	4	yes	complemented
493	#380	C₂³	1	8	yes	complemented
494	#380	C₂³	1	8	yes	complemented
495	#379	C₂³	1	4	yes	—
496	#379	C₂³	1	2	yes	—
497	#379	C₂³	1	4	yes	—
498	#379	C₂³	1	4	yes	—
499	#379	C₂³	1	4	yes	—
500	#379	C₂³	1	4	yes	—
501	#379	C₂³	1	2	yes	—
502	#379	C₂³	1	8	yes	complemented
503	#379	C₂³	1	8	yes	complemented
504	#379	C₂³	1	8	yes	complemented
505	#379	C₂³	1	8	yes	complemented
506	#379	C₂³	1	8	yes	complemented
507	#379	C₂³	1	8	yes	complemented
508	#379	C₂³	1	8	yes	complemented
509	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
510	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
511	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
512	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
513	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
514	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
515	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
516	#376	C₂³	1	2	yes	complemented
517	#376	C₂³	1	2	yes	complemented
518	C₂⁵	—	2	16	no	—
519	C₂⁵	—	2	16	no	—
520	C₂⁵	—	4	8	no	—
521	C₂⁵	—	4	16	no	—
522	C₂⁵	—	8	8	no	—
523	C₂⁵	C₂⁴	1	2	yes	—
524	C₂⁵	C₂⁴	1	8	yes	—
525	C₂⁵	C₂⁴	1	8	yes	—
526	C₂⁵	C₂⁴	1	4	yes	—
527	C₂⁵	C₂⁴	1	2	yes	—
528	C₂⁵	C₂⁴	1	4	yes	—
529	C₂×#41	—	2	8	no	—
530	C₂×#41	—	2	8	no	—
531	C₂×#41	—	4	8	no	—
532	C₂×#41	—	8	4	no	—
533	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
534	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
535	C₂²×D₄	—	2	8	no	—
536	C₂²×D₄	—	2	8	no	—
537	C₂²×D₄	—	2	16	no	—
538	C₂²×D₄	—	2	16	no	—
539	C₂²×D₄	—	2	16	no	—
540	C₂²×D₄	—	2	16	no	—
541	C₂²×D₄	—	2	16	no	—
542	C₂²×D₄	—	2	16	no	—
543	C₂²×D₄	—	2	16	no	—
544	C₂²×D₄	—	2	32	no	—
545	C₂²×D₄	—	2	32	no	—
546	C₂²×D₄	—	2	16	no	—
547	C₂²×D₄	—	2	16	no	—
548	C₂²×D₄	—	2	16	no	—
549	C₂²×D₄	—	2	8	no	—
550	C₂²×D₄	—	2	8	no	—
551	C₂²×D₄	—	2	4	no	—
552	C₂²×D₄	—	2	4	no	—
553	C₂²×D₄	—	4	8	no	—
554	C₂²×D₄	—	4	8	no	—
555	C₂²×D₄	—	4	8	no	—
556	C₂²×D₄	—	4	8	no	—
557	C₂²×D₄	—	4	8	no	—
558	C₂²×D₄	—	4	8	no	—
559	C₂²×D₄	—	4	16	no	—
560	C₂²×D₄	—	4	16	no	—
561	C₂²×D₄	—	4	16	no	—
562	C₂²×D₄	—	4	16	no	—
563	C₂²×D₄	—	4	16	no	—
564	C₂²×D₄	—	4	16	no	—
565	C₂²×D₄	—	4	16	no	—
566	C₂²×D₄	—	4	8	no	—
567	C₂²×D₄	—	4	16	no	—
568	C₂²×D₄	—	4	8	no	—
569	C₂²×D₄	—	4	16	no	—
570	C₂²×D₄	—	4	128	no	—
571	C₂²×D₄	—	4	128	no	—
572	C₂²×D₄	—	8	4	no	—
573	C₂²×D₄	—	8	4	no	—
574	C₂²×D₄	—	8	8	no	—
575	C₂²×D₄	C₂×D₄	1	16	yes	complemented
576	C₂²×D₄	C₂×D₄	1	16	yes	complemented
577	C₂²×D₄	C₂×D₄	1	16	yes	complemented
578	C₂²×D₄	C₂⁴	1	2	yes	—
579	C₂²×D₄	C₂⁴	1	2	yes	—
580	C₂²×D₄	C₂⁴	1	2	yes	—
581	C₂²×D₄	C₂⁴	1	2	yes	—
582	C₂²×D₄	C₂⁴	1	2	yes	—
583	C₂²×D₄	C₂⁴	1	1	yes	characteristic
584	C₂²×D₄	C₂⁴	1	8	yes	—
585	C₂²×D₄	C₂⁴	1	8	yes	—
586	C₂²×D₄	C₂⁴	1	8	yes	—
587	C₂²×D₄	C₂⁴	1	8	yes	—
588	C₂²×D₄	C₂⁴	1	2	yes	—
589	C₂²×D₄	C₂⁴	1	2	yes	—
590	C₂²×D₄	C₂⁴	1	2	yes	—
591	C₂²×D₄	C₂⁴	1	4	yes	—
592	C₂²×D₄	C₂⁴	1	4	yes	—
593	C₂²×D₄	C₂⁴	1	1	yes	characteristic
594	C₂²×D₄	C₂⁴	1	8	yes	—
595	C₂²×D₄	C₂⁴	1	4	yes	—
596	C₂²×D₄	C₂⁴	1	4	yes	—
597	C₂²×D₄	C₂⁴	1	8	yes	—
598	C₂²×D₄	C₂⁴	1	8	yes	—
599	C₂²×D₄	C₂⁴	1	4	yes	—
600	C₂²×D₄	C₂⁴	1	4	yes	—
601	C₂²×D₄	C₂⁴	1	4	yes	—
602	C₂²×D₄	C₂⁴	1	4	yes	—
603	C₂²×D₄	C₂⁴	1	4	yes	—
604	C₂²×D₄	C₂⁴	1	2	yes	—
605	C₂²×D₄	C₂⁴	1	2	yes	—
606	C₂²×D₄	C₂⁴	1	2	yes	—
607	C₂²×D₄	C₂⁴	1	4	yes	—
608	C₂²×D₄	C₂⁴	1	4	yes	—
609	C₂²×D₄	C₂⁴	1	2	yes	—
610	C₂³×C₄	—	2	8	no	—
611	C₂³×C₄	—	2	8	no	—
612	C₂³×C₄	—	4	8	no	—
613	C₂³×C₄	—	4	8	no	—
614	C₂³×C₄	C₂⁴	1	2	yes	—
615	C₂³×C₄	C₂⁴	1	2	yes	—
616	C₂³×C₄	C₂⁴	1	4	yes	—
617	C₂³×C₄	C₂⁴	1	1	yes	characteristic
618	C₂³×C₄	C₂⁴	1	1	yes	characteristic
619	C₂³×C₄	C₂⁴	1	2	yes	—
620	C₂³×C₄	C₂⁴	1	4	yes	—
621	C₂³×C₄	C₂⁴	1	4	yes	—
622	C₂³×C₄	C₂⁴	1	4	yes	—
623	C₂³×C₄	C₂⁴	1	2	yes	—
624	C₂³×C₄	C₂⁴	1	4	yes	—
625	C₂³×C₄	C₂⁴	1	4	yes	—
626	C₂³×C₄	C₂⁴	1	4	yes	—
627	C₂³×C₄	C₂⁴	1	8	yes	—
628	C₂³×C₄	C₂⁴	1	8	yes	—
629	C₂³×C₄	C₂⁴	1	1	yes	characteristic
630	#127	—	2	8	no	—
631	#127	—	2	8	no	—
632	#127	—	2	8	no	—
633	#127	C₂×D₄	1	8	yes	—
634	#127	C₂×D₄	1	16	yes	complemented
635	#127	C₂×D₄	1	16	yes	complemented
636	#127	C₂×D₄	1	8	yes	complemented
637	#127	C₂×D₄	1	16	yes	complemented
638	#126	—	2	8	no	—
639	#126	—	2	8	no	—
640	#125	—	2	4	no	—
641	#125	—	2	4	no	—
642	#124	—	2	8	no	—
643	#124	—	2	8	no	—
644	#124	—	2	8	no	—
645	#124	—	2	4	no	—
646	#124	—	2	4	no	—
647	#123	—	2	16	no	—
648	#123	—	2	16	no	—
649	#123	—	2	16	no	—
650	#123	—	2	16	no	—
651	#123	—	2	8	no	—
652	#123	—	2	8	no	—
653	#123	—	4	16	no	—
654	#123	—	4	16	no	—
655	#123	—	4	8	no	—
656	#123	—	4	8	no	—
657	C₂²⋊Q₈	—	2	4	no	—
658	C₂²⋊Q₈	—	2	4	no	—
659	C₂²⋊Q₈	—	4	8	no	—
660	#121	—	2	16	no	—
661	#121	—	2	16	no	—
662	#121	—	2	16	no	—
663	#121	—	2	32	no	—
664	#121	—	2	32	no	—
665	#121	—	2	16	no	—
666	#121	—	2	16	no	—
667	#121	—	2	16	no	—
668	#121	—	2	16	no	—
669	#121	—	2	16	no	—
670	#121	—	2	16	no	—
671	#121	—	2	16	no	—
672	#121	—	2	8	no	—
673	#121	—	2	8	no	—
674	#121	—	2	8	no	—
675	#121	—	2	8	no	—
676	#121	—	2	16	no	—
677	#121	—	2	16	no	—
678	#121	—	2	16	no	—
679	#121	—	2	4	no	—
680	#121	—	2	4	no	—
681	#121	—	4	16	no	—
682	#121	—	4	16	no	—
683	#121	—	4	16	no	—
684	#121	—	4	16	no	—
685	#121	—	4	8	no	—
686	#120	—	2	16	no	—
687	#120	—	2	16	no	—
688	#120	—	2	8	no	—
689	#120	—	2	16	no	—
690	#120	—	2	8	no	—
691	#120	—	2	32	no	—
692	#120	—	2	32	no	—
693	#120	—	2	32	no	—
694	#120	—	2	32	no	—
695	#120	—	2	16	no	—
696	#120	—	2	16	no	—
697	#120	—	2	16	no	—
698	#120	—	2	16	no	—
699	#120	—	4	8	no	—
700	#120	—	4	8	no	—
701	#120	—	4	16	no	—
702	#120	—	4	16	no	—
703	#120	—	4	16	no	—
704	#120	—	4	16	no	—
705	#120	—	4	16	no	—
706	#120	—	4	16	no	—
707	#120	—	8	8	no	—
708	#120	—	8	8	no	—
709	C₄×Q₈	—	2	4	no	—
710	C₄×Q₈	—	2	4	no	—
711	C₄×D₄	—	2	8	no	—
712	C₄×D₄	—	2	8	no	—
713	C₄×D₄	—	2	8	no	—
714	C₄×D₄	—	2	8	no	—
715	C₄×D₄	—	2	8	no	—
716	C₄×D₄	—	2	8	no	—
717	C₄×D₄	—	2	8	no	—
718	C₄×D₄	—	2	8	no	—
719	C₄×D₄	—	2	8	no	—
720	C₄×D₄	—	2	8	no	—
721	C₄×D₄	—	2	8	no	—
722	C₄×D₄	—	2	8	no	—
723	C₄×D₄	—	2	8	no	—
724	C₄×D₄	—	2	8	no	—
725	C₄×D₄	—	2	4	no	—
726	C₄×D₄	—	2	4	no	—
727	C₄×D₄	—	4	8	no	—
728	C₄×D₄	—	4	8	no	—
729	C₄×D₄	—	4	8	no	—
730	C₄×D₄	—	4	8	no	—
731	C₄×D₄	—	8	8	no	—
732	#117	—	2	8	no	—
733	#117	—	2	8	no	—
734	C₂×C₄⋊C₄	—	2	4	no	—
735	C₂×C₄⋊C₄	—	2	4	no	—
736	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
737	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
738	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
739	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
740	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
741	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
742	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
743	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
744	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
745	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
746	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
747	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
748	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
749	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
750	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
751	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
752	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
753	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
754	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
755	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
756	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
757	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
758	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
759	C₂×C₂²⋊C₄	—	2	16	no	—
760	C₂×C₂²⋊C₄	—	2	16	no	—
761	C₂×C₂²⋊C₄	—	2	8	no	—
762	C₂×C₂²⋊C₄	—	2	8	no	—
763	C₂×C₂²⋊C₄	—	4	8	no	—
764	C₂×C₂²⋊C₄	—	4	8	no	—
765	C₂×C₂²⋊C₄	—	4	16	no	—
766	C₂×C₂²⋊C₄	—	4	16	no	—
767	C₂×C₂²⋊C₄	—	8	8	no	—
768	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
769	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
770	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
771	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
772	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
773	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
774	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
775	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
776	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
777	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
778	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
779	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
780	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
781	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
782	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
783	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
784	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
785	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
786	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
787	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
788	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
789	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
790	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
791	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
792	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
793	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
794	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
795	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
796	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
797	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
798	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
799	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
800	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
801	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
802	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
803	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
804	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
805	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
806	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
807	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
808	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
810	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
811	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
812	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
813	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
814	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
815	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
816	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
817	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
818	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
819	C₂×C₄²	C₂×D₄	1	8	yes	complemented
820	C₂×C₄²	C₂⁴	1	2	yes	—
821	C₂×C₄²	C₂⁴	1	2	yes	—
822	C₂×C₄²	C₂⁴	1	2	yes	—
823	C₂×C₄²	C₂⁴	1	2	yes	—
824	C₂×C₄²	C₂⁴	1	4	yes	—
825	C₂×C₄²	C₂⁴	1	1	yes	characteristic
826	C₂×C₄²	C₂⁴	1	1	yes	characteristic
827	C₂×C₄²	C₂⁴	1	1	yes	characteristic
828	C₂×C₄²	C₂⁴	1	1	yes	characteristic
829	#95	C₂⁴	1	4	yes	—
830	#95	C₂⁴	1	4	yes	—
831	#95	C₂⁴	1	4	yes	—
832	#95	C₂⁴	1	4	yes	—
833	#95	C₂⁴	1	2	yes	—
834	#95	C₂⁴	1	2	yes	—
835	#95	C₂⁴	1	4	yes	—
836	#95	C₂⁴	1	4	yes	—
837	#95	C₂⁴	1	4	yes	—
838	#95	C₂⁴	1	4	yes	—
839	#95	C₂⁴	1	4	yes	—
840	#95	C₂⁴	1	4	yes	—
841	#95	C₂⁴	1	4	yes	—
842	#95	C₂⁴	1	8	yes	—
843	#95	C₂⁴	1	8	yes	—
844	#95	C₂⁴	1	8	yes	—
845	#95	C₂⁴	1	8	yes	—
846	#95	C₂⁴	1	8	yes	—
847	#95	C₂⁴	1	8	yes	—
848	C₂⁴	—	2	4	no	—
849	C₂⁴	—	2	4	no	—
850	C₂⁴	—	2	8	no	—
851	C₂⁴	—	2	4	no	—
852	C₂⁴	—	2	8	no	—
853	C₂⁴	—	2	8	no	—
854	C₂⁴	—	2	8	no	—
855	C₂⁴	—	2	16	no	—
856	C₂⁴	—	2	16	no	—
857	C₂⁴	—	2	16	no	—
858	C₂⁴	—	2	16	no	—
859	C₂⁴	—	2	16	no	—
860	C₂⁴	—	2	16	no	—
861	C₂⁴	—	2	8	no	—
862	C₂⁴	—	4	4	no	—
863	C₂⁴	—	4	4	no	—
864	C₂⁴	—	4	4	no	—
865	C₂⁴	—	4	8	no	—
866	C₂⁴	—	4	8	no	—
867	C₂⁴	—	4	8	no	—
868	C₂⁴	—	4	8	no	—
869	C₂⁴	—	4	8	no	—
870	C₂⁴	—	4	8	no	—
871	C₂⁴	—	4	8	no	—
872	C₂⁴	—	4	8	no	—
873	C₂⁴	—	4	8	no	—
874	C₂⁴	—	4	8	no	—
875	C₂⁴	—	4	4	no	—
876	C₂⁴	—	4	8	no	—
877	C₂⁴	—	4	8	no	—
878	C₂⁴	—	4	4	no	—
879	C₂⁴	—	4	64	no	—
880	C₂⁴	—	4	64	no	—
881	C₂⁴	—	8	64	no	—
882	C₂⁴	—	8	32	no	—
883	C₂⁴	—	8	64	no	—
884	C₂⁴	C₂²×D₄	1	16	yes	—
885	C₂⁴	H(5,𝔽₂)	1	8	yes	—
886	C₂⁴	C₂⁵	1	2	yes	—
887	C₂⁴	C₂⁵	1	2	yes	—
888	C₂⁴	C₂⁵	1	4	yes	—
889	C₂⁴	C₂⁵	1	4	yes	—
890	C₂⁴	C₂⁵	1	4	yes	—
891	C₂⁴	C₂⁵	1	4	yes	—
892	C₂⁴	C₂⁵	1	1	yes	characteristic
893	#41	—	8	16	no	—
894	#41	—	8	16	no	—
895	C₂×Q₈	—	2	2	no	—
896	C₂×Q₈	—	2	2	no	—
897	C₂×Q₈	—	2	4	no	—
898	C₂×Q₈	—	4	2	no	—
899	C₂×D₄	—	2	32	no	—
900	C₂×D₄	—	2	32	no	—
901	C₂×D₄	—	2	8	no	—
902	C₂×D₄	—	2	8	no	—
903	C₂×D₄	—	2	8	no	—
904	C₂×D₄	—	2	4	no	—
905	C₂×D₄	—	2	4	no	—
906	C₂×D₄	—	2	16	no	—
907	C₂×D₄	—	2	16	no	—
908	C₂×D₄	—	2	16	no	—
909	C₂×D₄	—	2	16	no	—
910	C₂×D₄	—	2	8	no	—
911	C₂×D₄	—	2	4	no	—
912	C₂×D₄	—	2	8	no	—
913	C₂×D₄	—	2	4	no	—
914	C₂×D₄	—	2	16	no	—
915	C₂×D₄	—	2	16	no	—
916	C₂×D₄	—	2	16	no	—
917	C₂×D₄	—	2	16	no	—
918	C₂×D₄	—	2	8	no	—
919	C₂×D₄	—	2	8	no	—
920	C₂×D₄	—	2	8	no	—
921	C₂×D₄	—	2	8	no	—
922	C₂×D₄	—	2	8	no	—
923	C₂×D₄	—	2	8	no	—
924	C₂×D₄	—	2	8	no	—
925	C₂×D₄	—	2	16	no	—
926	C₂×D₄	—	2	16	no	—
927	C₂×D₄	—	2	16	no	—
928	C₂×D₄	—	2	4	no	—
929	C₂×D₄	—	2	4	no	—
930	C₂×D₄	—	2	4	no	—
931	C₂×D₄	—	2	4	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	2	no	—
934	C₂×D₄	—	2	8	no	—
935	C₂×D₄	—	2	8	no	—
936	C₂×D₄	—	2	4	no	—
937	C₂×D₄	—	2	4	no	—
938	C₂×D₄	—	4	32	no	—
939	C₂×D₄	—	4	4	no	—
940	C₂×D₄	—	4	8	no	—
941	C₂×D₄	—	4	32	no	—
942	C₂×D₄	—	4	4	no	—
943	C₂×D₄	—	4	4	no	—
944	C₂×D₄	—	4	4	no	—
945	C₂×D₄	—	4	8	no	—
946	C₂×D₄	—	4	4	no	—
947	C₂×D₄	—	4	8	no	—
948	C₂×D₄	—	4	8	no	—
949	C₂×D₄	—	4	8	no	—
950	C₂×D₄	—	4	8	no	—
951	C₂×D₄	—	4	4	no	—
952	C₂×D₄	—	4	2	no	—
953	C₂×D₄	—	4	4	no	—
954	C₂×D₄	—	4	4	no	—
955	C₂×D₄	—	4	4	no	—
956	C₂×D₄	—	4	8	no	—
957	C₂×D₄	—	4	8	no	—
958	C₂×D₄	—	4	4	no	—
959	C₂×D₄	—	4	4	no	—
960	C₂×D₄	—	4	8	no	—
961	C₂×D₄	—	4	8	no	—
962	C₂×D₄	—	4	8	no	—
963	C₂×D₄	—	4	4	no	—
964	C₂×D₄	—	4	8	no	—
965	C₂×D₄	—	4	8	no	—
966	C₂×D₄	—	4	8	no	—
967	C₂×D₄	—	4	8	no	—
968	C₂×D₄	—	4	8	no	—
969	C₂×D₄	—	4	4	no	—
970	C₂×D₄	—	4	4	no	—
971	C₂×D₄	—	4	64	no	—
972	C₂×D₄	—	4	64	no	—
973	C₂×D₄	—	4	128	no	—
974	C₂×D₄	—	4	64	no	—
975	C₂×D₄	—	4	128	no	—
976	C₂×D₄	—	4	64	no	—
977	C₂×D₄	—	4	64	no	—
978	C₂×D₄	—	4	64	no	—
979	C₂×D₄	—	8	16	no	—
980	C₂×D₄	—	8	16	no	—
981	C₂×D₄	—	8	16	no	—
982	C₂×D₄	—	8	32	no	—
983	C₂×D₄	—	8	64	no	—
984	C₂×D₄	C₂²×D₄	1	8	yes	—
985	C₂×D₄	C₂²×D₄	1	8	yes	—
986	C₂×D₄	C₂²×D₄	1	8	yes	—
987	C₂×D₄	C₂²×D₄	1	8	yes	—
988	C₂×D₄	C₂²×D₄	1	16	yes	—
989	C₂×D₄	C₂²×D₄	1	8	yes	—
990	C₂×D₄	C₂²×D₄	1	16	yes	—
991	C₂×D₄	C₂²×D₄	1	16	yes	—
992	C₂×D₄	C₂²×D₄	1	8	yes	—
993	C₂×D₄	H(5,𝔽₂)	1	8	yes	—
994	C₂²×C₄	—	2	4	no	—
995	C₂²×C₄	—	2	4	no	—
996	C₂²×C₄	—	2	4	no	—
997	C₂²×C₄	—	2	4	no	—
998	C₂²×C₄	—	2	8	no	—
999	C₂²×C₄	—	2	8	no	—
1000	C₂²×C₄	—	2	8	no	—
1001	C₂²×C₄	—	2	8	no	—
1002	C₂²×C₄	—	2	4	no	—
1003	C₂²×C₄	—	2	4	no	—
1004	C₂²×C₄	—	2	8	no	—
1005	C₂²×C₄	—	2	8	no	—
1006	C₂²×C₄	—	2	8	no	—
1007	C₂²×C₄	—	2	8	no	—
1008	C₂²×C₄	—	2	8	no	—
1009	C₂²×C₄	—	2	8	no	—
1010	C₂²×C₄	—	2	8	no	—
1011	C₂²×C₄	—	4	4	no	—
1012	C₂²×C₄	—	4	8	no	—
1013	C₂²×C₄	—	4	8	no	—
1014	C₂²×C₄	—	4	4	no	—
1015	C₂²×C₄	—	4	4	no	—
1016	C₂²×C₄	—	4	2	no	—
1017	C₂²×C₄	—	4	4	no	—
1018	C₂²×C₄	—	4	8	no	—
1019	C₂²×C₄	—	4	4	no	—
1020	C₂²×C₄	—	4	8	no	—
1021	C₂²×C₄	—	4	8	no	—
1022	C₂²×C₄	—	4	8	no	—
1023	C₂²×C₄	—	4	8	no	—
1024	C₂²×C₄	—	4	4	no	—
1025	C₂²×C₄	—	4	8	no	—
1026	C₂²×C₄	—	4	8	no	—
1027	C₂²×C₄	—	4	8	no	—
1028	C₂²×C₄	—	4	32	no	—
1029	C₂²×C₄	—	4	32	no	—
1030	C₂²×C₄	C₂²×D₄	1	4	yes	—
1031	C₂²×C₄	C₂²×D₄	1	4	yes	—
1032	C₂²×C₄	C₂²×D₄	1	4	yes	—
1033	C₂²×C₄	C₂⁵	1	4	yes	—
1034	C₂²×C₄	C₂⁵	1	8	yes	—
1035	C₂²×C₄	C₂⁵	1	2	yes	—
1036	C₂²×C₄	C₂⁵	1	2	yes	—
1037	C₂²×C₄	C₂⁵	1	4	yes	—
1038	C₂²×C₄	C₂⁵	1	4	yes	—
1039	C₂²×C₄	C₂⁵	1	4	yes	—
1040	C₂²×C₄	C₂⁵	1	2	yes	—
1041	C₂²×C₄	C₂⁵	1	2	yes	—
1042	C₂²×C₄	C₂⁵	1	2	yes	—
1043	C₂²×C₄	C₂⁵	1	2	yes	—
1044	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1045	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1046	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1047	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1048	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1049	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1050	C₄⋊C₄	—	2	4	no	—
1051	C₄⋊C₄	—	2	4	no	—
1052	C₄⋊C₄	—	2	4	no	—
1053	C₄⋊C₄	—	2	4	no	—
1054	C₄⋊C₄	—	2	4	no	—
1055	C₄⋊C₄	—	2	4	no	—
1056	C₄⋊C₄	—	2	4	no	—
1057	C₄⋊C₄	—	2	4	no	—
1058	C₄⋊C₄	—	2	2	no	—
1059	C₄⋊C₄	—	2	2	no	—
1060	C₄⋊C₄	—	2	2	no	—
1061	C₄⋊C₄	—	2	2	no	—
1062	C₄⋊C₄	—	2	4	no	—
1063	C₄⋊C₄	—	2	4	no	—
1064	C₄⋊C₄	—	2	4	no	—
1065	C₄⋊C₄	—	2	4	no	—
1066	C₄⋊C₄	—	2	8	no	—
1067	C₄⋊C₄	—	4	4	no	—
1068	C₄⋊C₄	—	4	4	no	—
1069	C₄⋊C₄	—	4	4	no	—
1070	C₄⋊C₄	—	4	8	no	—
1071	C₄⋊C₄	—	4	8	no	—
1072	C₄⋊C₄	—	4	8	no	—
1073	C₂²⋊C₄	—	2	4	no	—
1074	C₂²⋊C₄	—	2	4	no	—
1075	C₂²⋊C₄	—	2	16	no	—
1076	C₂²⋊C₄	—	2	16	no	—
1077	C₂²⋊C₄	—	2	8	no	—
1078	C₂²⋊C₄	—	2	8	no	—
1079	C₂²⋊C₄	—	2	8	no	—
1080	C₂²⋊C₄	—	2	8	no	—
1081	C₂²⋊C₄	—	2	8	no	—
1082	C₂²⋊C₄	—	2	8	no	—
1083	C₂²⋊C₄	—	2	8	no	—
1084	C₂²⋊C₄	—	2	4	no	—
1085	C₂²⋊C₄	—	2	8	no	—
1086	C₂²⋊C₄	—	2	4	no	—
1087	C₂²⋊C₄	—	2	16	no	—
1088	C₂²⋊C₄	—	2	16	no	—
1089	C₂²⋊C₄	—	2	16	no	—
1090	C₂²⋊C₄	—	2	8	no	—
1091	C₂²⋊C₄	—	2	8	no	—
1092	C₂²⋊C₄	—	2	8	no	—
1093	C₂²⋊C₄	—	2	8	no	—
1094	C₂²⋊C₄	—	2	8	no	—
1095	C₂²⋊C₄	—	2	4	no	—
1096	C₂²⋊C₄	—	2	4	no	—
1097	C₂²⋊C₄	—	2	4	no	—
1098	C₂²⋊C₄	—	2	4	no	—
1099	C₂²⋊C₄	—	2	4	no	—
1100	C₂²⋊C₄	—	2	4	no	—
1101	C₂²⋊C₄	—	2	4	no	—
1102	C₂²⋊C₄	—	2	4	no	—
1103	C₂²⋊C₄	—	4	4	no	—
1104	C₂²⋊C₄	—	4	8	no	—
1105	C₂²⋊C₄	—	4	8	no	—
1106	C₂²⋊C₄	—	4	8	no	—
1107	C₂²⋊C₄	—	4	8	no	—
1108	C₂²⋊C₄	—	4	8	no	—
1109	C₂²⋊C₄	—	4	4	no	—
1110	C₂²⋊C₄	—	4	8	no	—
1111	C₂²⋊C₄	—	4	8	no	—
1112	C₂²⋊C₄	—	4	8	no	—
1113	C₂²⋊C₄	—	4	4	no	—
1114	C₂²⋊C₄	—	4	8	no	—
1115	C₂²⋊C₄	—	4	4	no	—
1116	C₂²⋊C₄	—	4	8	no	—
1117	C₂²⋊C₄	—	4	4	no	—
1118	C₂²⋊C₄	—	4	8	no	—
1119	C₂²⋊C₄	—	4	8	no	—
1120	C₂²⋊C₄	—	4	8	no	—
1121	C₂²⋊C₄	—	4	8	no	—
1122	C₂²⋊C₄	—	4	8	no	—
1123	C₂²⋊C₄	—	4	4	no	—
1124	C₄²	—	2	4	no	—
1125	C₄²	—	2	4	no	—
1126	C₄²	—	2	4	no	—
1127	C₄²	—	2	4	no	—
1128	C₄²	—	4	4	no	—
1129	C₄²	C₂²×D₄	1	4	yes	—
1130	C₄²	C₂²×D₄	1	4	yes	—
1131	C₄²	C₂²×D₄	1	4	yes	—
1132	C₄²	C₂²×D₄	1	4	yes	—
1133	C₂³	—	2	2	no	—
1134	C₂³	—	2	2	no	—
1135	C₂³	—	2	16	no	—
1136	C₂³	—	2	4	no	—
1137	C₂³	—	2	4	no	—
1138	C₂³	—	2	4	no	—
1139	C₂³	—	2	8	no	—
1140	C₂³	—	2	4	no	—
1141	C₂³	—	2	4	no	—
1142	C₂³	—	2	4	no	—
1143	C₂³	—	2	8	no	—
1144	C₂³	—	2	8	no	—
1145	C₂³	—	2	4	no	—
1146	C₂³	—	2	4	no	—
1147	C₂³	—	2	4	no	—
1148	C₂³	—	2	4	no	—
1149	C₂³	—	2	4	no	—
1150	C₂³	—	2	8	no	—
1151	C₂³	—	2	8	no	—
1152	C₂³	—	2	8	no	—
1153	C₂³	—	2	4	no	—
1154	C₂³	—	2	16	no	—
1155	C₂³	—	2	32	no	—
1156	C₂³	—	2	2	no	—
1157	C₂³	—	2	2	no	—
1158	C₂³	—	2	2	no	—
1159	C₂³	—	2	4	no	—
1160	C₂³	—	2	4	no	—
1161	C₂³	—	2	4	no	—
1162	C₂³	—	2	2	no	—
1163	C₂³	—	2	4	no	—
1164	C₂³	—	2	4	no	—
1165	C₂³	—	4	16	no	—
1166	C₂³	—	4	16	no	—
1167	C₂³	—	4	16	no	—
1168	C₂³	—	4	32	no	—
1169	C₂³	—	4	32	no	—
1170	C₂³	—	4	32	no	—
1171	C₂³	—	4	32	no	—
1172	C₂³	—	4	32	no	—
1173	C₂³	—	4	32	no	—
1174	C₂³	—	4	32	no	—
1175	C₂³	—	4	8	no	—
1176	C₂³	—	4	8	no	—
1177	C₂³	—	4	8	no	—
1178	C₂³	—	4	16	no	—
1179	C₂³	—	4	8	no	—
1180	C₂³	—	8	16	no	—
1181	C₂³	—	8	16	no	—
1182	C₂³	—	8	16	no	—
1183	C₂³	—	8	16	no	—
1184	C₂³	—	8	16	no	—
1185	C₂³	—	8	16	no	—
1186	C₂³	—	8	16	no	—
1187	C₂³	—	8	16	no	—
1188	C₂³	—	8	8	no	—
1189	C₂³	—	8	8	no	—
1190	C₂³	—	8	8	no	—
1191	C₂³	—	8	16	no	—
1192	C₂³	—	8	16	no	—
1193	C₂³	—	8	16	no	—
1194	C₂³	—	8	256	no	—
1195	C₂³	—	16	8	no	—
1196	C₂³	C₂³×D₄	1	8	yes	—
1197	C₂³	C₂³×D₄	1	8	yes	—
1198	C₂³	C₂³×D₄	1	2	yes	—
1199	C₂³	C₂×H(5,𝔽₂)	1	8	yes	—
1200	C₂³	C₂×H(5,𝔽₂)	1	8	yes	—
1201	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1202	C₂³	C₂⁶	1	1	yes	characteristic
1203	Q₈	—	4	4	no	—
1204	Q₈	—	4	4	no	—
1205	D₄	—	2	16	no	—
1206	D₄	—	2	16	no	—
1207	D₄	—	2	16	no	—
1208	D₄	—	2	16	no	—
1209	D₄	—	2	16	no	—
1210	D₄	—	2	16	no	—
1211	D₄	—	4	16	no	—
1212	D₄	—	4	8	no	—
1213	D₄	—	4	16	no	—
1214	D₄	—	4	8	no	—
1215	D₄	—	4	8	no	—
1216	D₄	—	4	16	no	—
1217	D₄	—	4	8	no	—
1218	D₄	—	4	4	no	—
1219	D₄	—	4	32	no	—
1220	D₄	—	4	32	no	—
1221	D₄	—	4	32	no	—
1222	D₄	—	4	32	no	—
1223	D₄	—	4	16	no	—
1224	D₄	—	4	8	no	—
1225	D₄	—	4	8	no	—
1226	D₄	—	4	4	no	—
1227	D₄	—	8	8	no	—
1228	D₄	—	8	8	no	—
1229	D₄	—	8	8	no	—
1230	D₄	—	8	8	no	—
1231	D₄	—	8	8	no	—
1232	D₄	—	8	16	no	—
1233	D₄	—	8	16	no	—
1234	D₄	—	8	16	no	—
1235	D₄	—	8	8	no	—
1236	D₄	—	8	8	no	—
1237	C₂×C₄	—	2	2	no	—
1238	C₂×C₄	—	2	2	no	—
1239	C₂×C₄	—	2	2	no	—
1240	C₂×C₄	—	2	2	no	—
1241	C₂×C₄	—	2	2	no	—
1242	C₂×C₄	—	2	8	no	—
1243	C₂×C₄	—	2	8	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	2	no	—
1246	C₂×C₄	—	2	2	no	—
1247	C₂×C₄	—	2	2	no	—
1248	C₂×C₄	—	2	2	no	—
1249	C₂×C₄	—	2	2	no	—
1250	C₂×C₄	—	2	4	no	—
1251	C₂×C₄	—	2	4	no	—
1252	C₂×C₄	—	2	4	no	—
1253	C₂×C₄	—	2	4	no	—
1254	C₂×C₄	—	2	4	no	—
1255	C₂×C₄	—	2	8	no	—
1256	C₂×C₄	—	2	2	no	—
1257	C₂×C₄	—	2	4	no	—
1258	C₂×C₄	—	2	4	no	—
1259	C₂×C₄	—	2	4	no	—
1260	C₂×C₄	—	2	4	no	—
1261	C₂×C₄	—	2	2	no	—
1262	C₂×C₄	—	2	8	no	—
1263	C₂×C₄	—	2	4	no	—
1264	C₂×C₄	—	2	8	no	—
1265	C₂×C₄	—	2	4	no	—
1266	C₂×C₄	—	2	8	no	—
1267	C₂×C₄	—	2	4	no	—
1268	C₂×C₄	—	2	4	no	—
1269	C₂×C₄	—	2	4	no	—
1270	C₂×C₄	—	2	4	no	—
1271	C₂×C₄	—	4	4	no	—
1272	C₂×C₄	—	4	16	no	—
1273	C₂×C₄	—	4	16	no	—
1274	C₂×C₄	—	4	16	no	—
1275	C₂×C₄	—	4	8	no	—
1276	C₂×C₄	—	4	8	no	—
1277	C₂×C₄	—	4	8	no	—
1278	C₂×C₄	—	4	16	no	—
1279	C₂×C₄	—	4	8	no	—
1280	C₂×C₄	—	8	8	no	—
1281	C₂×C₄	—	8	8	no	—
1282	C₂×C₄	—	8	8	no	—
1283	C₂×C₄	—	8	16	no	—
1284	C₂×C₄	—	16	8	no	—
1285	C₂×C₄	C₂³×D₄	1	2	yes	—
1286	C₂×C₄	C₂³×D₄	1	2	yes	—
1287	C₂×C₄	C₂³×D₄	1	2	yes	—
1288	C₂×C₄	C₂³×D₄	1	2	yes	—
1289	C₂×C₄	C₂³×D₄	1	2	yes	—
1290	C₂×C₄	C₂³×D₄	1	2	yes	—
1291	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1292	C₂²	—	2	2	no	—
1293	C₂²	—	2	2	no	—
1294	C₂²	—	2	8	no	—
1295	C₂²	—	2	8	no	—
1296	C₂²	—	2	8	no	—
1297	C₂²	—	2	8	no	—
1298	C₂²	—	2	8	no	—
1299	C₂²	—	2	8	no	—
1300	C₂²	—	2	8	no	—
1301	C₂²	—	2	8	no	—
1302	C₂²	—	2	8	no	—
1303	C₂²	—	2	8	no	—
1304	C₂²	—	2	16	no	—
1305	C₂²	—	2	8	no	—
1306	C₂²	—	4	32	no	—
1307	C₂²	—	4	32	no	—
1308	C₂²	—	4	4	no	—
1309	C₂²	—	4	4	no	—
1310	C₂²	—	4	4	no	—
1311	C₂²	—	4	4	no	—
1312	C₂²	—	4	8	no	—
1313	C₂²	—	4	8	no	—
1314	C₂²	—	4	8	no	—
1315	C₂²	—	4	4	no	—
1316	C₂²	—	4	8	no	—
1317	C₂²	—	4	4	no	—
1318	C₂²	—	4	8	no	—
1319	C₂²	—	4	2	no	—
1320	C₂²	—	4	2	no	—
1321	C₂²	—	4	2	no	—
1322	C₂²	—	4	2	no	—
1323	C₂²	—	4	2	no	—
1324	C₂²	—	4	2	no	—
1325	C₂²	—	4	4	no	—
1326	C₂²	—	4	8	no	—
1327	C₂²	—	4	4	no	—
1328	C₂²	—	8	32	no	—
1329	C₂²	—	8	64	no	—
1330	C₂²	—	8	64	no	—
1331	C₂²	—	16	16	no	—
1332	C₂²	#3484	1	4	yes	—
1333	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1334	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1335	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1336	C₂²	H(7,𝔽₂)	1	2	yes	—
1337	C₄	—	2	2	no	—
1338	C₄	—	2	2	no	—
1339	C₄	—	2	2	no	—
1340	C₄	—	2	2	no	—
1341	C₄	—	2	2	no	—
1342	C₄	—	4	4	no	—
1343	C₄	—	4	4	no	—
1344	C₄	—	4	2	no	—
1345	C₄	—	4	2	no	—
1346	C₄	—	4	2	no	—
1347	C₄	—	4	2	no	—
1348	C₄	—	4	2	no	—
1349	C₄	—	4	2	no	—
1350	C₄	—	4	4	no	—
1351	C₄	—	4	8	no	—
1352	C₄	—	4	4	no	—
1353	C₄	#3484	1	4	yes	—
1354	C₂	—	2	4	no	—
1355	C₂	—	4	8	no	—
1356	C₂	—	4	8	no	—
1357	C₂	—	4	8	no	—
1358	C₂	—	4	8	no	—
1359	C₂	—	8	2	no	—
1360	C₂	—	8	2	no	—
1361	C₂	C₂×#3484	1	1	yes	characteristic
1362	C₂	C₂×#3484	1	1	yes	characteristic
1363	C₂	#62842	1	1	yes	characteristic
1364	C₂	#62892	1	4	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. C₂×#3543	C₂	semidirect
2. C₂²×D₄²	C₂	semidirect
3. #52031	C₂	semidirect
4. #52008	C₂	semidirect
5. #52004	C₂	semidirect
6. #45355	C₂	semidirect
7. #45140	C₂	semidirect
8. #44936	C₂	semidirect
9. #44932	C₂	semidirect
10. #44881	C₂	semidirect
11. #44877	C₂	semidirect
12. #39466	C₂	semidirect
13. #39338	C₂	semidirect
14. #37832	C₂	semidirect
15. #37644	C₂	semidirect
16. #37117	C₂	semidirect
17. #36152	C₂	semidirect
18. D₄×#120	C₂	semidirect
19. #35233	C₂	semidirect
20. #35232	C₂	semidirect
21. #35102	C₂	semidirect
22. #34980	C₂	semidirect
23. #34593	C₂	semidirect
24. #34364	C₂	semidirect
25. C₂⁴×D₄	C₂²	semidirect
26. C₂⁴×D₄	C₂²	semidirect
28. C₂×#560	C₂²	semidirect
29. C₂×#559	C₂²	semidirect
30. C₂×#550	C₂²	semidirect
31. C₂×#550	C₂²	semidirect
32. C₂×#546	C₂²	semidirect
33. C₂×#546	C₂²	semidirect
34. C₂×#546	C₂²	semidirect
37. C₂×D₄²	C₂²	semidirect
38. C₂×D₄²	C₂²	semidirect
39. C₂×D₄²	C₂²	semidirect
40. C₂×D₄²	C₂²	semidirect
41. C₂×D₄²	C₂²	semidirect
42. C₂×D₄²	C₂²	semidirect
43. C₂×D₄²	C₂²	semidirect
44. C₂×D₄²	C₂²	semidirect
45. C₂×#540	C₂²	semidirect
46. C₂×#540	C₂²	semidirect
47. C₂×#535	C₂²	semidirect
48. C₂×#535	C₂²	semidirect
49. C₂×#534	C₂²	semidirect
50. C₂×#534	C₂²	semidirect
52. C₂×#529	C₂²	semidirect
53. C₂×#529	C₂²	semidirect
54. C₂²×#121	C₂²	semidirect
55. C₂²×#121	C₂²	semidirect
56. C₂²×#120	C₂²	semidirect
57. C₂²×#120	C₂²	semidirect
58. C₂²×C₄×D₄	C₂²	semidirect
59. C₂²×C₄×D₄	C₂²	semidirect
60. #2849	C₂²	semidirect
61. #2849	C₂²	semidirect
62. #2848	C₂²	semidirect
63. #2847	C₂²	semidirect
64. #2846	C₂²	semidirect
65. #2846	C₂²	semidirect
66. #2708	C₂²	semidirect
67. #2708	C₂²	semidirect
68. #2708	C₂²	semidirect
69. #2697	C₂²	semidirect
70. #2688	C₂²	semidirect
71. #2688	C₂²	semidirect
72. #2688	C₂²	semidirect
73. #2684	C₂²	semidirect
74. #2679	C₂²	semidirect
75. #2678	C₂²	semidirect
76. #2678	C₂²	semidirect
77. #2671	C₂²	semidirect
78. #2671	C₂²	semidirect
79. #2671	C₂²	semidirect
80. #2669	C₂²	semidirect
81. #2668	C₂²	semidirect
82. #2668	C₂²	semidirect
83. #2668	C₂²	semidirect
84. #2668	C₂²	semidirect
85. #2668	C₂²	semidirect
86. #2636	C₂²	semidirect
87. #2636	C₂²	semidirect
88. #2633	C₂²	semidirect
89. #2633	C₂²	semidirect
90. #2631	C₂²	semidirect
91. #2631	C₂²	semidirect
92. #2626	C₂²	semidirect
93. #2623	C₂²	semidirect
94. #2623	C₂²	semidirect
95. #2617	C₂²	semidirect
96. #2613	C₂²	semidirect
97. #2613	C₂²	semidirect
98. #2613	C₂²	semidirect
99. #2613	C₂²	semidirect
100. #2603	C₂²	semidirect
101. #2603	C₂²	semidirect
102. #2598	C₂²	semidirect
103. #2598	C₂²	semidirect
104. #2580	C₂²	semidirect
105. #2566	C₂²	semidirect
106. #2562	C₂²	semidirect
107. #2561	C₂²	semidirect
108. #2544	C₂²	semidirect
109. #2540	C₂²	semidirect
110. #2539	C₂²	semidirect
111. #2537	C₂²	semidirect
112. #2536	C₂²	semidirect
113. #2535	C₂²	semidirect
114. #2535	C₂²	semidirect
115. #2535	C₂²	semidirect
116. #2534	C₂²	semidirect
117. #2534	C₂²	semidirect
118. #2503	C₂²	semidirect
119. #2501	C₂²	semidirect
120. #2486	C₂²	semidirect
121. #2483	C₂²	semidirect
122. #2435	C₂²	semidirect
123. #2435	C₂²	semidirect
125. #2433	C₂²	semidirect
126. #2428	C₂²	semidirect
127. #2427	C₂²	semidirect
128. #2424	C₂²	semidirect
129. #2424	C₂²	semidirect
130. #2422	C₂²	semidirect
131. #2420	C₂²	semidirect
132. #2418	C₂²	semidirect
133. #2418	C₂²	semidirect
134. #2412	C₂²	semidirect
135. #2412	C₂²	semidirect
136. #2410	C₂²	semidirect
137. #2410	C₂²	semidirect
138. #2410	C₂²	semidirect
139. #2410	C₂²	semidirect
140. #2410	C₂²	semidirect
141. #2410	C₂²	semidirect
142. #2410	C₂²	semidirect
143. #2410	C₂²	semidirect
144. #2408	C₂²	semidirect
145. #2408	C₂²	semidirect
146. #2408	C₂²	semidirect
147. #2408	C₂²	semidirect
148. #2408	C₂²	semidirect
149. #2407	C₂²	semidirect
150. #2405	C₂²	semidirect
151. #2405	C₂²	semidirect
152. #2405	C₂²	semidirect
153. #2405	C₂²	semidirect
154. #2405	C₂²	semidirect
155. #2404	C₂²	semidirect
156. #2403	C₂²	semidirect
157. #2403	C₂²	semidirect
158. #2403	C₂²	semidirect
159. #2403	C₂²	semidirect
160. #2403	C₂²	semidirect
161. #2398	C₂²	semidirect
162. #2397	C₂²	semidirect
163. #2392	C₂²	semidirect
164. #2380	C₂²	semidirect
165. #2366	C₂²	semidirect
166. D₄×C₂²⋊C₄	C₂²	semidirect
167. D₄×C₂²⋊C₄	C₂²	semidirect
168. D₄×C₂²⋊C₄	C₂²	semidirect
169. D₄×C₂²⋊C₄	C₂²	semidirect
170. D₄×C₂²⋊C₄	C₂²	semidirect
171. #2328	C₂²	semidirect
172. #2328	C₂²	semidirect
173. #2328	C₂²	semidirect
174. #2328	C₂²	semidirect
175. #2326	C₂²	semidirect
176. #2324	C₂²	semidirect
177. #2321	C₂²	semidirect
178. #2308	C₂²	semidirect
179. #2308	C₂²	semidirect
180. C₄×#120	C₂²	semidirect
181. C₄×#120	C₂²	semidirect
182. #2283	C₂²	semidirect
183. #2283	C₂²	semidirect
184. C₂×#379	C₂²	semidirect
186. C₂²×#41	C₂³	semidirect
187. C₂²×#41	C₂³	semidirect
206. C₂³×D₄	C₂³	semidirect
207. C₂³×D₄	C₂³	semidirect
208. C₂³×D₄	C₂³	semidirect
233. C₂×#127	D₄	semidirect
240. C₂×#127	C₂³	semidirect
241. C₂×#127	C₂³	semidirect
244. C₂×#126	C₂³	semidirect
245. C₂×#126	C₂³	semidirect
246. C₂×#125	C₂³	semidirect
247. C₂×#125	C₂³	semidirect
249. C₂×#124	C₂³	semidirect
250. C₂×#124	C₂³	semidirect
251. C₂×#124	C₂³	semidirect
252. C₂×#124	C₂³	semidirect
257. C₂×#123	C₂³	semidirect
258. C₂×#123	C₂³	semidirect
259. C₂×#123	C₂³	semidirect
260. C₂×#123	C₂³	semidirect
261. C₂×#123	C₂³	semidirect
262. C₂×#123	C₂³	semidirect
265. C₂×C₂²⋊Q₈	C₂³	semidirect
277. C₂×#121	C₂³	semidirect
278. C₂×#121	C₂³	semidirect
279. C₂×#121	C₂³	semidirect
280. C₂×#121	C₂³	semidirect
281. C₂×#121	C₂³	semidirect
282. C₂×#121	C₂³	semidirect
283. C₂×#121	C₂³	semidirect
284. C₂×#121	C₂³	semidirect
285. C₂×#121	C₂³	semidirect
286. C₂×#121	C₂³	semidirect
287. C₂×#121	C₂³	semidirect
288. C₂×#121	C₂³	semidirect
289. C₂×#121	C₂³	semidirect
290. C₂×#121	C₂³	semidirect
291. C₂×#121	C₂³	semidirect
292. C₂×#121	C₂³	semidirect
293. C₂×#121	C₂³	semidirect
307. C₂×#120	C₂³	semidirect
308. C₂×#120	C₂³	semidirect
309. C₂×#120	C₂³	semidirect
310. C₂×#120	C₂³	semidirect
311. C₂×#120	C₂³	semidirect
312. C₂×#120	C₂³	semidirect
313. C₂×#120	C₂³	semidirect
314. C₂×#120	C₂³	semidirect
315. C₂×#120	C₂³	semidirect
316. C₂×#120	C₂³	semidirect
317. C₂×#120	C₂³	semidirect
318. C₂×#120	C₂³	semidirect
319. C₂×C₄×Q₈	C₂³	semidirect
320. C₂×C₄×Q₈	C₂³	semidirect
333. C₂×C₄×D₄	C₂³	semidirect
334. C₂×C₄×D₄	C₂³	semidirect
335. C₂×C₄×D₄	C₂³	semidirect
336. C₂×C₄×D₄	C₂³	semidirect
337. C₂×C₄×D₄	C₂³	semidirect
338. C₂×C₄×D₄	C₂³	semidirect
339. C₂×C₄×D₄	C₂³	semidirect
340. C₂×C₄×D₄	C₂³	semidirect
341. C₂×C₄×D₄	C₂³	semidirect
342. C₂×C₄×D₄	C₂³	semidirect
343. C₂×C₄×D₄	C₂³	semidirect
344. C₂×#117	C₂³	semidirect
345. C₂×#117	C₂³	semidirect
354. C₂²×C₂²⋊C₄	C₂³	semidirect
355. C₂²×C₂²⋊C₄	C₂³	semidirect
356. C₂²×C₂²⋊C₄	C₂³	semidirect
358. #400	C₂³	semidirect
359. #400	C₂³	semidirect
360. #400	C₂³	semidirect
361. #399	C₂³	semidirect
362. #399	C₂³	semidirect
363. #399	C₂³	semidirect
364. #399	C₂³	semidirect
365. #399	C₂³	semidirect
366. #398	C₂³	semidirect
367. #398	C₂³	semidirect
368. #398	C₂³	semidirect
369. #397	C₂³	semidirect
370. #397	C₂³	semidirect
371. #397	C₂³	semidirect
372. #397	C₂³	semidirect
373. #397	C₂³	semidirect
374. #397	C₂³	semidirect
375. #397	C₂³	semidirect
376. #397	C₂³	semidirect
377. #397	C₂³	semidirect
378. #396	C₂³	semidirect
379. #396	C₂³	semidirect
380. #396	C₂³	semidirect
387. #394	C₂³	semidirect
388. #394	C₂³	semidirect
389. #394	C₂³	semidirect
390. #394	C₂³	semidirect
391. #394	C₂³	semidirect
392. #394	C₂³	semidirect
393. #394	C₂³	semidirect
394. #394	C₂³	semidirect
395. #394	C₂³	semidirect
396. #394	C₂³	semidirect
397. #394	C₂³	semidirect
398. #394	C₂³	semidirect
399. #394	C₂³	semidirect
400. #394	C₂³	semidirect
401. #394	C₂³	semidirect
402. #393	C₂³	semidirect
403. #393	C₂³	semidirect
410. #392	C₂³	semidirect
411. #392	C₂³	semidirect
412. #392	C₂³	semidirect
413. #392	C₂³	semidirect
414. #392	C₂³	semidirect
415. #392	C₂³	semidirect
416. #392	C₂³	semidirect
417. #392	C₂³	semidirect
418. #392	C₂³	semidirect
419. #392	C₂³	semidirect
420. #391	C₂³	semidirect
424. #390	C₂³	semidirect
425. #390	C₂³	semidirect
426. #390	C₂³	semidirect
427. #390	C₂³	semidirect
428. #390	C₂³	semidirect
429. #390	C₂³	semidirect
430. #389	C₂³	semidirect
431. #388	C₂³	semidirect
432. #388	C₂³	semidirect
433. #388	C₂³	semidirect
434. #388	C₂³	semidirect
438. #386	C₂³	semidirect
439. #386	C₂³	semidirect
440. #386	C₂³	semidirect
441. #386	C₂³	semidirect
442. #386	C₂³	semidirect
443. #386	C₂³	semidirect
444. #386	C₂³	semidirect
445. #386	C₂³	semidirect
446. #386	C₂³	semidirect
447. #386	C₂³	semidirect
448. #386	C₂³	semidirect
449. #386	C₂³	semidirect
450. #386	C₂³	semidirect
451. #386	C₂³	semidirect
452. #386	C₂³	semidirect
453. #386	C₂³	semidirect
454. #386	C₂³	semidirect
455. #386	C₂³	semidirect
456. #386	C₂³	semidirect
457. #386	C₂³	semidirect
458. #386	C₂³	semidirect
459. #386	C₂³	semidirect
460. #386	C₂³	semidirect
461. #386	C₂³	semidirect
462. #386	C₂³	semidirect
463. #386	C₂³	semidirect
464. #386	C₂³	semidirect
468. #385	C₂³	semidirect
469. #385	C₂³	semidirect
470. #385	C₂³	semidirect
471. #385	C₂³	semidirect
472. #385	C₂³	semidirect
473. #385	C₂³	semidirect
474. #385	C₂³	semidirect
475. #385	C₂³	semidirect
476. #385	C₂³	semidirect
477. #384	C₂³	semidirect
478. #383	C₂³	semidirect
479. #383	C₂³	semidirect
480. #382	C₂³	semidirect
481. #382	C₂³	semidirect
482. #382	C₂³	semidirect
487. #381	C₂³	semidirect
490. #380	C₂³	semidirect
491. #380	C₂³	semidirect
492. #380	C₂³	semidirect
493. #380	C₂³	semidirect
494. #380	C₂³	semidirect
502. #379	C₂³	semidirect
503. #379	C₂³	semidirect
504. #379	C₂³	semidirect
505. #379	C₂³	semidirect
506. #379	C₂³	semidirect
507. #379	C₂³	semidirect
508. #379	C₂³	semidirect
509. C₄×C₄⋊C₄	C₂³	semidirect
510. C₄×C₄⋊C₄	C₂³	semidirect
514. C₄×C₂²⋊C₄	C₂³	semidirect
515. C₄×C₂²⋊C₄	C₂³	semidirect
516. #376	C₂³	semidirect
517. #376	C₂³	semidirect
575. C₂²×D₄	C₂×D₄	semidirect
576. C₂²×D₄	C₂×D₄	semidirect
577. C₂²×D₄	C₂×D₄	semidirect
634. #127	C₂×D₄	semidirect
635. #127	C₂×D₄	semidirect
636. #127	C₂×D₄	semidirect
637. #127	C₂×D₄	semidirect
819. C₂×C₄²	C₂×D₄	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3543	2
C₂²×D₄²	2
#52031	2
#52008	2
#52004	2
#45355	2
#45140	2
#44936	2
#44932	2
#44881	2
#44877	2
#39466	2
#39338	2
#37832	2
#37644	2
#37117	2
#36152	2
D₄×#120	2
#35233	2
#35232	2
#35102	2
#34980	2
#34593	2
#34364	2