Subgroups — #7626797

Order 512.

7714 conjugacy classes of subgroups.

The subgroup lattice has 1718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#538	C₂	1	1	yes	maximal, characteristic
2	#34454	C₂	1	4	yes	maximal, complemented
3	#34451	C₂	1	4	yes	maximal, complemented
4	#34446	C₂	1	4	yes	maximal, complemented
5	#34441	C₂	1	4	yes	maximal, complemented
6	#34426	C₂	1	2	yes	maximal, complemented
7	#34424	C₂	1	2	yes	maximal, complemented
8	#34416	C₂	1	4	yes	maximal, complemented
9	#34381	C₂	1	2	yes	maximal, complemented
10	#34376	C₂	1	2	yes	maximal, complemented
11	#34366	C₂	1	2	yes	maximal, complemented
12	#34363	C₂	1	2	yes	maximal, complemented
13	#34359	C₂	1	1	yes	maximal, characteristic, complemented
14	#34358	C₂	1	1	yes	maximal, characteristic, complemented
15	#34356	C₂	1	2	yes	maximal, complemented
16	#34283	C₂	1	4	yes	maximal, complemented
17	#34277	C₂	1	2	yes	maximal, complemented
18	#34247	C₂	1	2	yes	maximal, complemented
19	#34238	C₂	1	2	yes	maximal, complemented
20	#34211	C₂	1	2	yes	maximal, complemented
21	#34205	C₂	1	2	yes	maximal, complemented
22	#34204	C₂	1	1	yes	maximal, characteristic, complemented
23	#34203	C₂	1	1	yes	maximal, characteristic, complemented
24	#34198	C₂	1	2	yes	maximal, complemented
25	#34194	C₂	1	2	yes	maximal, complemented
26	#34176	C₂	1	1	yes	maximal, characteristic, complemented
27	#34126	C₂	1	2	yes	maximal, complemented
28	C₂×#2342	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#538	C₂	1	2	yes	maximal, complemented
30	C₂×#538	C₄	1	32	yes	complemented
31	C₂×#538	C₂²	1	1	yes	characteristic
32	C₂×#538	C₂²	1	2	yes	—
33	C₂×#538	C₂²	1	1	yes	characteristic
34	C₂×#538	C₂²	1	1	yes	characteristic
35	C₂×#538	C₂²	1	2	yes	—
36	C₂×#538	C₂²	1	2	yes	—
37	C₂×#538	C₂²	1	2	yes	—
38	C₂×#538	C₂²	1	2	yes	—
39	C₂×#538	C₂²	1	1	yes	characteristic
40	C₂×#538	C₂²	1	2	yes	—
41	C₂²×#126	C₂²	1	2	yes	—
42	C₂²×#124	C₂²	1	2	yes	—
43	C₂²×#123	C₂²	1	2	yes	—
44	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
45	C₂²×#121	C₂²	1	1	yes	characteristic
46	C₂²×#121	C₂²	1	2	yes	—
47	C₂²×#120	C₂²	1	2	yes	—
48	C₂×#519	C₂²	1	1	yes	characteristic, complemented
49	C₂×#518	C₂²	1	2	yes	—
50	C₂×#518	C₂²	1	1	yes	characteristic, complemented
51	C₂²×C₄×D₄	C₂²	1	2	yes	—
52	C₂²×#117	C₂²	1	1	yes	characteristic
53	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
54	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
55	#2383	C₂²	1	4	yes	complemented
56	#2383	C₂²	1	4	yes	complemented
57	#2379	C₂²	1	4	yes	complemented
58	#2379	C₂²	1	4	yes	complemented
59	#2378	C₂²	1	4	yes	complemented
60	#2377	C₂²	1	4	yes	complemented
61	#2377	C₂²	1	4	yes	complemented
62	#2377	C₂²	1	4	yes	complemented
63	#2376	C₂²	1	4	yes	complemented
64	#2376	C₂²	1	4	yes	complemented
65	#2375	C₂²	1	4	yes	complemented
66	#2375	C₂²	1	4	yes	complemented
67	#2374	C₂²	1	4	yes	complemented
68	#2374	C₂²	1	4	yes	complemented
69	#2373	C₂²	1	4	yes	complemented
70	#2373	C₂²	1	4	yes	complemented
71	#2373	C₂²	1	4	yes	complemented
72	#2373	C₂²	1	4	yes	complemented
73	#2373	C₂²	1	4	yes	complemented
74	#2373	C₂²	1	4	yes	complemented
75	#2372	C₂²	1	4	yes	complemented
76	#2372	C₂²	1	4	yes	complemented
77	#2368	C₂²	1	4	yes	complemented
78	#2367	C₂²	1	4	yes	complemented
79	#2367	C₂²	1	4	yes	complemented
80	#2367	C₂²	1	4	yes	complemented
81	#2367	C₂²	1	4	yes	complemented
82	#2364	C₂²	1	4	yes	complemented
83	#2364	C₂²	1	4	yes	complemented
84	#2364	C₂²	1	4	yes	complemented
85	#2363	C₂²	1	4	yes	complemented
86	#2363	C₂²	1	4	yes	complemented
87	#2363	C₂²	1	4	yes	complemented
88	#2362	C₂²	1	4	yes	complemented
89	#2361	C₂²	1	4	yes	complemented
90	#2361	C₂²	1	4	yes	complemented
91	#2361	C₂²	1	4	yes	complemented
92	#2360	C₂²	1	4	yes	complemented
93	#2359	C₂²	1	4	yes	complemented
94	#2359	C₂²	1	4	yes	complemented
95	#2359	C₂²	1	4	yes	complemented
96	#2359	C₂²	1	4	yes	complemented
97	#2358	C₂²	1	4	yes	complemented
98	#2358	C₂²	1	4	yes	complemented
99	#2358	C₂²	1	4	yes	complemented
100	#2358	C₂²	1	4	yes	complemented
101	#2358	C₂²	1	4	yes	complemented
102	#2358	C₂²	1	4	yes	complemented
103	#2357	C₂²	1	4	yes	complemented
104	#2354	C₂²	1	4	yes	complemented
105	#2353	C₂²	1	4	yes	complemented
106	#2353	C₂²	1	4	yes	complemented
107	#2352	C₂²	1	4	yes	complemented
108	#2352	C₂²	1	4	yes	complemented
109	#2349	C₂²	1	4	yes	complemented
110	D₄×C₄⋊C₄	C₂²	1	4	yes	complemented
111	#2345	C₂²	1	2	yes	complemented
112	#2345	C₂²	1	2	yes	complemented
113	#2345	C₂²	1	2	yes	complemented
114	#2345	C₂²	1	2	yes	complemented
115	#2344	C₂²	1	2	yes	complemented
116	#2344	C₂²	1	2	yes	complemented
117	#2344	C₂²	1	2	yes	complemented
118	#2344	C₂²	1	2	yes	complemented
119	#2342	C₂²	1	2	yes	—
120	#2342	C₂²	1	2	yes	—
121	#2342	C₂²	1	2	yes	—
122	#2342	C₂²	1	2	yes	—
123	#2342	C₂²	1	2	yes	—
124	#2342	C₂²	1	2	yes	—
125	#2342	C₂²	1	2	yes	—
126	#2342	C₂²	1	2	yes	—
127	#2342	C₂²	1	2	yes	—
128	#2342	C₂²	1	2	yes	—
129	#2342	C₂²	1	2	yes	—
130	#2342	C₂²	1	2	yes	—
131	#2342	C₂²	1	2	yes	—
132	#2342	C₂²	1	2	yes	—
133	#2342	C₂²	1	2	yes	—
134	#2342	C₂²	1	2	yes	—
135	#2342	C₂²	1	4	yes	complemented
136	#2342	C₂²	1	4	yes	complemented
137	#2342	C₂²	1	4	yes	complemented
138	#2342	C₂²	1	4	yes	complemented
139	#2342	C₂²	1	2	yes	complemented
140	#2342	C₂²	1	2	yes	complemented
141	#2342	C₂²	1	2	yes	complemented
142	#2342	C₂²	1	2	yes	complemented
143	#2342	C₂²	1	2	yes	complemented
144	#2342	C₂²	1	2	yes	complemented
145	#2342	C₂²	1	2	yes	complemented
146	#2342	C₂²	1	2	yes	complemented
147	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
148	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
149	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
150	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
151	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
152	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
153	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
154	D₄×C₂²⋊C₄	C₂²	1	2	yes	—
155	#2337	C₂²	1	4	yes	complemented
156	#2337	C₂²	1	4	yes	complemented
157	#2337	C₂²	1	4	yes	complemented
158	#2337	C₂²	1	4	yes	complemented
159	#2335	C₂²	1	4	yes	complemented
160	#2335	C₂²	1	4	yes	complemented
161	#2335	C₂²	1	4	yes	complemented
162	#2335	C₂²	1	4	yes	complemented
163	#2334	C₂²	1	4	yes	complemented
164	#2334	C₂²	1	4	yes	complemented
165	#2334	C₂²	1	4	yes	complemented
166	#2334	C₂²	1	4	yes	complemented
167	#2334	C₂²	1	4	yes	complemented
168	#2334	C₂²	1	4	yes	complemented
169	#2333	C₂²	1	2	yes	complemented
170	#2333	C₂²	1	2	yes	complemented
171	#2333	C₂²	1	4	yes	complemented
172	#2333	C₂²	1	4	yes	complemented
173	#2332	C₂²	1	2	yes	complemented
174	#2332	C₂²	1	2	yes	complemented
175	#2329	C₂²	1	2	yes	complemented
176	#2329	C₂²	1	2	yes	complemented
177	#2326	C₂²	1	4	yes	complemented
178	#2326	C₂²	1	4	yes	complemented
179	#2325	C₂²	1	2	yes	complemented
180	#2325	C₂²	1	2	yes	complemented
181	#2325	C₂²	1	4	yes	complemented
182	#2325	C₂²	1	4	yes	complemented
183	#2324	C₂²	1	2	yes	complemented
184	#2324	C₂²	1	2	yes	complemented
185	#2324	C₂²	1	4	yes	complemented
186	#2324	C₂²	1	4	yes	complemented
187	#2323	C₂²	1	2	yes	complemented
188	#2323	C₂²	1	2	yes	complemented
189	#2322	C₂²	1	4	yes	complemented
190	#2322	C₂²	1	4	yes	complemented
191	#2321	C₂²	1	4	yes	complemented
192	#2321	C₂²	1	4	yes	complemented
193	#2321	C₂²	1	4	yes	complemented
194	#2321	C₂²	1	4	yes	complemented
195	#2321	C₂²	1	4	yes	complemented
196	#2321	C₂²	1	4	yes	complemented
197	#2319	C₂²	1	4	yes	complemented
198	#2318	C₂²	1	4	yes	complemented
199	#2318	C₂²	1	4	yes	complemented
200	#2316	C₂²	1	1	yes	characteristic, complemented
201	#2316	C₂²	1	1	yes	characteristic, complemented
202	#2315	C₂²	1	2	yes	—
203	#2315	C₂²	1	2	yes	complemented
204	#2313	C₂²	1	2	yes	complemented
205	#2313	C₂²	1	2	yes	complemented
206	#2312	C₂²	1	2	yes	—
207	#2312	C₂²	1	2	yes	—
208	#2312	C₂²	1	2	yes	complemented
209	#2312	C₂²	1	2	yes	complemented
210	#2310	C₂²	1	2	yes	complemented
211	#2310	C₂²	1	1	yes	characteristic, complemented
212	#2309	C₂²	1	2	yes	—
213	#2309	C₂²	1	1	yes	characteristic, complemented
214	#2308	C₂²	1	2	yes	—
215	#2308	C₂²	1	2	yes	—
216	#2308	C₂²	1	2	yes	complemented
217	C₄×#126	C₂²	1	4	yes	complemented
218	C₄×#126	C₂²	1	4	yes	complemented
219	C₄×#124	C₂²	1	4	yes	complemented
220	C₄×#124	C₂²	1	4	yes	complemented
221	C₄×C₂²⋊Q₈	C₂²	1	2	yes	complemented
222	C₄×C₂²⋊Q₈	C₂²	1	2	yes	complemented
223	C₄×#123	C₂²	1	4	yes	complemented
224	C₄×#123	C₂²	1	4	yes	complemented
225	C₄×#121	C₂²	1	4	yes	complemented
226	C₄×#121	C₂²	1	4	yes	complemented
227	C₄×#121	C₂²	1	2	yes	complemented
228	C₄×#121	C₂²	1	2	yes	complemented
229	C₄×#120	C₂²	1	4	yes	complemented
230	C₄×#120	C₂²	1	4	yes	complemented
231	#2293	C₂²	1	4	yes	complemented
232	#2290	C₂²	1	4	yes	complemented
233	#2290	C₂²	1	4	yes	complemented
234	C₂×#388	C₂²	1	2	yes	complemented
235	C₂×#388	C₂²	1	2	yes	complemented
236	C₂×#385	C₂²	1	2	yes	complemented
237	#2285	C₂²	1	2	yes	complemented
238	#2283	C₂²	1	2	yes	complemented
239	#2283	C₂²	1	2	yes	complemented
240	#2280	C₂²	1	1	yes	characteristic
241	#2280	C₂²	1	1	yes	characteristic
242	#2280	C₂²	1	2	yes	—
243	#2280	C₂²	1	2	yes	complemented
244	#2280	C₂²	1	2	yes	complemented
245	C₂×#381	C₂²	1	1	yes	characteristic
246	C₂×#380	C₂²	1	1	yes	characteristic
247	C₂×#380	C₂²	1	2	yes	complemented
248	C₂×#379	C₂²	1	1	yes	characteristic
249	C₂×#379	C₂²	1	2	yes	—
250	#2275	C₂²	1	4	yes	complemented
251	#2274	C₂²	1	1	yes	characteristic, complemented
252	#2274	C₂²	1	1	yes	characteristic, complemented
253	#2273	C₂²	1	2	yes	—
254	#2273	C₂²	1	2	yes	complemented
255	C₄²×D₄	C₂²	1	4	yes	complemented
256	C₄×#117	C₂²	1	2	yes	complemented
257	C₂×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
258	C₂×C₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
259	C₂×C₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
260	C₂⁶	C₂³	1	1	yes	characteristic
261	C₂³×Q₈	C₂³	1	1	yes	characteristic
262	C₂³×D₄	C₂³	1	2	yes	—
263	C₂³×D₄	C₂³	1	2	yes	—
264	C₂³×D₄	C₂³	1	1	yes	characteristic
265	C₂³×D₄	C₂³	1	2	yes	—
266	C₂⁴×C₄	C₂³	1	2	yes	—
267	C₂⁴×C₄	C₂³	1	1	yes	characteristic
268	C₂⁴×C₄	C₂³	1	1	yes	characteristic
269	C₂⁴×C₄	C₂³	1	2	yes	—
270	#538	C₂×C₄	1	16	yes	complemented
271	#538	C₂×C₄	1	32	yes	complemented
272	#538	C₂×C₄	1	16	yes	complemented
273	#538	C₂×C₄	1	16	yes	complemented
274	#538	C₂×C₄	1	16	yes	complemented
275	#538	C₂×C₄	1	32	yes	complemented
276	#538	C₂×C₄	1	32	yes	complemented
277	#538	C₂×C₄	1	32	yes	complemented
278	#538	C₂×C₄	1	32	yes	complemented
279	#538	C₂×C₄	1	32	yes	complemented
280	C₂×#126	C₂×C₄	1	32	yes	complemented
281	C₂×#126	C₂³	1	2	yes	—
282	C₂×#126	C₂³	1	2	yes	—
283	C₂×#126	C₂³	1	2	yes	—
284	C₂×#126	C₂³	1	2	yes	—
285	C₂×#126	C₂³	1	2	yes	—
286	C₂×#126	C₂³	1	2	yes	—
287	C₂×#126	C₂³	1	2	yes	—
288	C₂×#126	C₂³	1	2	yes	—
289	C₂×#124	C₂×C₄	1	32	yes	complemented
290	C₂×#124	C₂³	1	2	yes	—
291	C₂×#124	C₂³	1	2	yes	—
292	C₂×#124	C₂³	1	2	yes	—
293	C₂×#124	C₂³	1	2	yes	—
294	C₂×#124	C₂³	1	2	yes	—
295	C₂×#124	C₂³	1	2	yes	—
296	C₂×#124	C₂³	1	2	yes	—
297	C₂×#124	C₂³	1	2	yes	—
298	C₂×#123	C₂×C₄	1	32	yes	complemented
299	C₂×#123	C₂³	1	2	yes	—
300	C₂×#123	C₂³	1	2	yes	—
301	C₂×#123	C₂³	1	2	yes	—
302	C₂×#123	C₂³	1	2	yes	—
303	C₂×#123	C₂³	1	2	yes	—
304	C₂×#123	C₂³	1	2	yes	—
305	C₂×#123	C₂³	1	2	yes	—
306	C₂×#123	C₂³	1	2	yes	—
307	C₂×C₂²⋊Q₈	C₂×C₄	1	16	yes	complemented
308	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
311	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
314	C₂×#121	C₂×C₄	1	32	yes	complemented
315	C₂×#121	C₂×C₄	1	16	yes	complemented
316	C₂×#121	C₂³	1	2	yes	—
317	C₂×#121	C₂³	1	1	yes	characteristic
318	C₂×#121	C₂³	1	1	yes	characteristic
319	C₂×#121	C₂³	1	2	yes	—
320	C₂×#121	C₂³	1	2	yes	—
321	C₂×#121	C₂³	1	2	yes	—
322	C₂×#121	C₂³	1	2	yes	—
323	C₂×#121	C₂³	1	2	yes	—
324	C₂×#121	C₂³	1	1	yes	characteristic
325	C₂×#121	C₂³	1	1	yes	characteristic
326	C₂×#121	C₂³	1	2	yes	—
327	C₂×#121	C₂³	1	2	yes	—
328	C₂×#121	C₂³	1	2	yes	—
329	C₂×#121	C₂³	1	2	yes	—
330	C₂×#120	C₂×C₄	1	32	yes	complemented
331	C₂×#120	C₂³	1	2	yes	—
332	C₂×#120	C₂³	1	2	yes	—
333	C₂×#120	C₂³	1	2	yes	—
334	C₂×#120	C₂³	1	2	yes	—
335	C₂×#120	C₂³	1	2	yes	—
336	C₂×#120	C₂³	1	2	yes	—
337	C₂×#120	C₂³	1	2	yes	—
338	C₂×#120	C₂³	1	2	yes	—
339	#519	—	4	4	no	—
340	#518	—	4	8	no	—
341	#518	—	4	4	no	—
342	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
343	C₂×C₄×Q₈	C₂³	1	2	yes	complemented
344	C₂×C₄×Q₈	C₂³	1	4	yes	complemented
345	C₂×C₄×D₄	C₂×C₄	1	32	yes	complemented
346	C₂×C₄×D₄	C₂³	1	4	yes	—
347	C₂×C₄×D₄	C₂³	1	4	yes	—
348	C₂×C₄×D₄	C₂³	1	4	yes	—
349	C₂×C₄×D₄	C₂³	1	4	yes	—
350	C₂×C₄×D₄	C₂³	1	4	yes	—
351	C₂×C₄×D₄	C₂³	1	4	yes	—
352	C₂×C₄×D₄	C₂³	1	4	yes	—
353	C₂×C₄×D₄	C₂³	1	4	yes	—
354	C₂×C₄×D₄	C₂³	1	4	yes	—
355	C₂×C₄×D₄	C₂³	1	4	yes	—
356	C₂×C₄×D₄	C₂³	1	4	yes	—
357	C₂×C₄×D₄	C₂³	1	4	yes	—
358	C₂×C₄×D₄	C₂³	1	2	yes	—
359	C₂×C₄×D₄	C₂³	1	2	yes	—
360	C₂×C₄×D₄	C₂³	1	2	yes	—
361	C₂×C₄×D₄	C₂³	1	2	yes	—
362	C₂×C₄×D₄	C₂³	1	2	yes	—
363	C₂×C₄×D₄	C₂³	1	2	yes	—
364	C₂×C₄×D₄	C₂³	1	2	yes	—
365	C₂×C₄×D₄	C₂³	1	2	yes	—
366	C₂×C₄×D₄	C₂³	1	2	yes	complemented
367	C₂×C₄×D₄	C₂³	1	2	yes	complemented
368	C₂×C₄×D₄	C₂³	1	4	yes	complemented
369	C₂×#117	—	4	4	no	—
370	C₂×#117	C₂³	1	1	yes	characteristic
371	C₂×#117	C₂³	1	2	yes	—
372	C₂×#117	C₂³	1	1	yes	characteristic
373	C₂×#117	C₂³	1	2	yes	—
374	C₂×#117	C₂³	1	2	yes	—
375	C₂×#117	C₂³	1	1	yes	characteristic
376	C₂×#117	C₂³	1	1	yes	characteristic
377	C₂×#117	C₂³	1	1	yes	characteristic
378	C₂×#117	C₂³	1	1	yes	characteristic
379	C₂×#117	C₂³	1	2	yes	—
380	C₂×#117	C₂³	1	1	yes	characteristic
381	C₂×#117	C₂³	1	1	yes	characteristic
382	C₂×#117	C₂³	1	2	yes	—
383	C₂×#117	C₂³	1	2	yes	—
384	C₂×#117	C₂³	1	4	yes	—
385	C₂×#117	C₂³	1	4	yes	complemented
386	C₂×#117	C₂³	1	4	yes	complemented
387	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
388	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
389	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
390	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
391	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
392	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
393	C₂²×C₄⋊C₄	C₂³	1	4	yes	complemented
394	C₂²×C₂²⋊C₄	—	4	4	no	—
395	C₂²×C₂²⋊C₄	C₂×C₄	1	16	yes	complemented
396	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
397	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
398	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
399	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
400	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
401	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
402	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
403	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
404	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
405	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
406	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
407	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
408	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
409	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
410	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
411	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
412	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
413	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
414	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
415	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
416	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
417	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
418	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
419	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
420	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
421	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
422	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
423	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
424	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
425	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
426	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
427	C₂²×C₄²	C₂³	1	2	yes	—
428	C₂²×C₄²	C₂³	1	2	yes	—
429	C₂²×C₄²	C₂³	1	2	yes	—
430	C₂²×C₄²	C₂³	1	4	yes	complemented
431	#391	C₂³	1	2	yes	complemented
432	#391	C₂³	1	2	yes	complemented
433	#391	C₂³	1	4	yes	complemented
434	#391	C₂³	1	4	yes	complemented
435	#391	C₂³	1	4	yes	complemented
436	#391	C₂³	1	4	yes	complemented
437	#391	C₂³	1	4	yes	complemented
438	#390	C₂³	1	4	yes	—
439	#390	C₂³	1	4	yes	—
440	#390	C₂³	1	4	yes	—
441	#390	C₂³	1	4	yes	—
442	#390	C₂³	1	4	yes	—
443	#390	C₂³	1	4	yes	—
444	#390	C₂³	1	4	yes	—
445	#390	C₂³	1	4	yes	—
446	#390	C₂³	1	4	yes	—
447	#390	C₂³	1	4	yes	—
448	#390	C₂³	1	4	yes	—
449	#390	C₂³	1	4	yes	—
450	#390	C₂³	1	2	yes	complemented
451	#390	C₂³	1	4	yes	complemented
452	#390	C₂³	1	2	yes	complemented
453	#389	C₂³	1	2	yes	complemented
454	#389	C₂³	1	4	yes	complemented
455	#389	C₂³	1	2	yes	complemented
456	#389	C₂³	1	2	yes	complemented
457	#389	C₂³	1	2	yes	complemented
458	#389	C₂³	1	4	yes	complemented
459	#389	C₂³	1	4	yes	complemented
460	#389	C₂³	1	4	yes	complemented
461	#389	C₂³	1	4	yes	complemented
462	#389	C₂³	1	4	yes	complemented
463	#389	C₂³	1	4	yes	complemented
464	#389	C₂³	1	4	yes	complemented
465	#389	C₂³	1	4	yes	complemented
466	#389	C₂³	1	4	yes	complemented
467	#388	C₂³	1	4	yes	—
468	#388	C₂³	1	4	yes	—
469	#388	C₂³	1	4	yes	—
470	#388	C₂³	1	4	yes	—
471	#388	C₂³	1	4	yes	—
472	#388	C₂³	1	4	yes	—
473	#388	C₂³	1	4	yes	—
474	#388	C₂³	1	4	yes	—
475	#388	C₂³	1	4	yes	—
476	#388	C₂³	1	4	yes	—
477	#388	C₂³	1	4	yes	—
478	#388	C₂³	1	4	yes	—
479	#388	C₂³	1	4	yes	—
480	#388	C₂³	1	4	yes	—
481	#388	C₂³	1	4	yes	—
482	#388	C₂³	1	4	yes	—
483	#388	C₂³	1	4	yes	—
484	#388	C₂³	1	4	yes	—
485	#388	C₂³	1	4	yes	—
486	#388	C₂³	1	4	yes	—
487	#388	C₂³	1	4	yes	—
488	#388	C₂³	1	4	yes	—
489	#388	C₂³	1	4	yes	—
490	#388	C₂³	1	4	yes	—
491	#388	C₂³	1	4	yes	—
492	#388	C₂³	1	4	yes	—
493	#388	C₂³	1	4	yes	—
494	#388	C₂³	1	4	yes	—
495	#388	C₂³	1	4	yes	—
496	#388	C₂³	1	4	yes	—
497	#388	C₂³	1	4	yes	—
498	#388	C₂³	1	4	yes	—
499	#388	C₂³	1	4	yes	—
500	#388	C₂³	1	4	yes	—
501	#388	C₂³	1	4	yes	—
502	#388	C₂³	1	4	yes	—
503	#388	C₂³	1	4	yes	—
504	#388	C₂³	1	4	yes	—
505	#388	C₂³	1	4	yes	—
506	#388	C₂³	1	4	yes	—
507	#388	C₂³	1	4	yes	complemented
508	#388	C₂³	1	4	yes	complemented
509	#388	C₂³	1	4	yes	complemented
510	#388	C₂³	1	4	yes	complemented
511	#388	C₂³	1	4	yes	complemented
512	#388	C₂³	1	4	yes	complemented
513	#388	C₂³	1	4	yes	complemented
514	#388	C₂³	1	4	yes	complemented
515	#388	C₂³	1	4	yes	complemented
516	#388	C₂³	1	4	yes	complemented
517	#388	C₂³	1	4	yes	complemented
518	#388	C₂³	1	4	yes	complemented
519	#388	C₂³	1	4	yes	complemented
520	#388	C₂³	1	4	yes	complemented
521	#388	C₂³	1	4	yes	complemented
522	#388	C₂³	1	4	yes	complemented
523	#387	C₂³	1	4	yes	complemented
524	#387	C₂³	1	4	yes	complemented
525	#387	C₂³	1	4	yes	complemented
526	#387	C₂³	1	4	yes	complemented
527	#387	C₂³	1	4	yes	complemented
528	#387	C₂³	1	4	yes	complemented
529	#387	C₂³	1	4	yes	complemented
530	#387	C₂³	1	4	yes	complemented
531	#387	C₂³	1	4	yes	complemented
532	#387	C₂³	1	4	yes	complemented
533	#387	C₂³	1	4	yes	complemented
534	#387	C₂³	1	4	yes	complemented
535	#387	C₂³	1	4	yes	complemented
536	#387	C₂³	1	4	yes	complemented
537	#387	C₂³	1	4	yes	complemented
538	#387	C₂³	1	4	yes	complemented
539	#387	C₂³	1	4	yes	complemented
540	#387	C₂³	1	4	yes	complemented
541	#387	C₂³	1	4	yes	complemented
542	#387	C₂³	1	4	yes	complemented
543	#387	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	#386	C₂³	1	4	yes	—
548	#386	C₂³	1	4	yes	—
549	#386	C₂³	1	4	yes	—
550	#386	C₂³	1	4	yes	—
551	#386	C₂³	1	4	yes	—
552	#386	C₂³	1	4	yes	—
553	#386	C₂³	1	4	yes	—
554	#386	C₂³	1	4	yes	—
555	#386	C₂³	1	4	yes	—
556	#386	C₂³	1	4	yes	—
557	#386	C₂³	1	4	yes	—
558	#386	C₂³	1	4	yes	—
559	#386	C₂³	1	4	yes	—
560	#386	C₂³	1	4	yes	—
561	#386	C₂³	1	4	yes	—
562	#386	C₂³	1	4	yes	—
563	#386	C₂³	1	4	yes	—
564	#386	C₂³	1	4	yes	—
565	#386	C₂³	1	4	yes	—
566	#386	C₂³	1	4	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	complemented
572	#386	C₂³	1	4	yes	complemented
573	#386	C₂³	1	4	yes	complemented
574	#386	C₂³	1	4	yes	complemented
575	#385	C₂³	1	4	yes	—
576	#385	C₂³	1	4	yes	—
577	#385	C₂³	1	4	yes	—
578	#385	C₂³	1	4	yes	—
579	#385	C₂³	1	4	yes	—
580	#385	C₂³	1	4	yes	—
581	#385	C₂³	1	4	yes	—
582	#385	C₂³	1	4	yes	—
583	#385	C₂³	1	4	yes	—
584	#385	C₂³	1	4	yes	—
585	#385	C₂³	1	4	yes	—
586	#385	C₂³	1	4	yes	—
587	#385	C₂³	1	4	yes	—
588	#385	C₂³	1	4	yes	—
589	#385	C₂³	1	4	yes	—
590	#385	C₂³	1	4	yes	—
591	#385	C₂³	1	4	yes	—
592	#385	C₂³	1	4	yes	—
593	#385	C₂³	1	4	yes	—
594	#385	C₂³	1	4	yes	—
595	#385	C₂³	1	4	yes	complemented
596	#385	C₂³	1	4	yes	complemented
597	#385	C₂³	1	4	yes	complemented
598	#385	C₂³	1	4	yes	complemented
599	#385	C₂³	1	4	yes	complemented
600	#385	C₂³	1	4	yes	complemented
601	#385	C₂³	1	4	yes	complemented
602	#385	C₂³	1	4	yes	complemented
603	#384	C₂³	1	4	yes	complemented
604	#383	C₂³	1	4	yes	complemented
605	#383	C₂³	1	4	yes	complemented
606	#382	C₂³	1	4	yes	complemented
607	#382	C₂³	1	4	yes	complemented
608	#382	C₂³	1	4	yes	complemented
609	#381	C₂³	1	2	yes	—
610	#381	C₂³	1	2	yes	—
611	#381	C₂³	1	2	yes	—
612	#381	C₂³	1	2	yes	—
613	#381	C₂³	1	2	yes	—
614	#381	C₂³	1	2	yes	—
615	#381	C₂³	1	2	yes	—
616	#381	C₂³	1	2	yes	—
617	#381	C₂³	1	4	yes	—
618	#381	C₂³	1	2	yes	—
619	#381	C₂³	1	2	yes	—
620	#381	C₂³	1	4	yes	complemented
621	#381	C₂³	1	4	yes	complemented
622	#380	C₂³	1	2	yes	—
623	#380	C₂³	1	2	yes	—
624	#380	C₂³	1	2	yes	—
625	#380	C₂³	1	2	yes	—
626	#380	C₂³	1	2	yes	—
627	#380	C₂³	1	2	yes	—
628	#380	C₂³	1	4	yes	—
629	#380	C₂³	1	2	yes	—
630	#380	C₂³	1	2	yes	—
631	#380	C₂³	1	2	yes	—
632	#380	C₂³	1	2	yes	—
633	#380	C₂³	1	4	yes	—
634	#380	C₂³	1	2	yes	—
635	#380	C₂³	1	2	yes	—
636	#380	C₂³	1	2	yes	—
637	#380	C₂³	1	2	yes	—
638	#380	C₂³	1	2	yes	—
639	#380	C₂³	1	2	yes	—
640	#380	C₂³	1	4	yes	complemented
641	#380	C₂³	1	4	yes	complemented
642	#380	C₂³	1	4	yes	complemented
643	#380	C₂³	1	4	yes	complemented
644	#379	C₂³	1	2	yes	—
645	#379	C₂³	1	2	yes	—
646	#379	C₂³	1	2	yes	—
647	#379	C₂³	1	2	yes	—
648	#379	C₂³	1	2	yes	—
649	#379	C₂³	1	2	yes	—
650	#379	C₂³	1	2	yes	—
651	#379	C₂³	1	2	yes	—
652	#379	C₂³	1	4	yes	—
653	#379	C₂³	1	4	yes	—
654	#379	C₂³	1	4	yes	—
655	#379	C₂³	1	2	yes	—
656	#379	C₂³	1	2	yes	—
657	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
658	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
659	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
660	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
661	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
662	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
663	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
664	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
665	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
666	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
667	C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
668	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
669	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
670	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
671	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
672	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
673	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
674	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
675	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
676	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
677	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
678	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
679	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
680	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
681	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
682	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
683	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
684	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
685	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
686	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
687	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
688	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
689	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
690	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
691	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
692	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
693	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
694	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
695	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
696	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
697	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
698	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
699	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
700	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
701	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
702	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
703	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
704	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
705	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
706	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
707	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
708	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
709	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
710	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
711	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
712	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
713	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
714	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
715	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
716	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
717	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
718	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
719	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
720	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
721	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
722	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
723	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
724	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
725	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
726	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
727	#376	C₂³	1	4	yes	complemented
728	#376	C₂³	1	4	yes	complemented
729	#376	C₂³	1	4	yes	complemented
730	C₂×#95	C₂³	1	2	yes	—
731	C₂×#95	C₂³	1	2	yes	—
732	C₂×#95	C₂³	1	2	yes	—
733	C₂×#95	C₂³	1	2	yes	—
734	C₂×#95	C₂³	1	4	yes	complemented
735	C₂×#95	C₂³	1	4	yes	complemented
736	C₄³	C₂³	1	4	yes	complemented
737	C₂⁵	—	4	2	no	—
738	C₂⁵	—	4	4	no	—
739	C₂⁵	—	4	2	no	—
740	C₂⁵	—	8	2	no	—
741	C₂⁵	C₂²×C₄	1	8	yes	—
742	C₂⁵	C₂⁴	1	1	yes	characteristic
743	C₂⁵	C₂⁴	1	1	yes	characteristic
744	C₂⁵	C₂⁴	1	2	yes	—
745	C₂⁵	C₂⁴	1	2	yes	—
746	C₂⁵	C₂⁴	1	1	yes	characteristic
747	C₂⁵	C₂⁴	1	2	yes	—
748	C₂²×Q₈	—	4	2	no	—
749	C₂²×Q₈	—	4	2	no	—
750	C₂²×Q₈	C₂²×C₄	1	8	yes	complemented
751	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
752	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
753	C₂²×Q₈	C₂⁴	1	2	yes	—
754	C₂²×D₄	—	4	2	no	—
755	C₂²×D₄	—	4	4	no	—
756	C₂²×D₄	—	4	2	no	—
757	C₂²×D₄	—	4	4	no	—
758	C₂²×D₄	—	4	8	no	—
759	C₂²×D₄	—	8	4	no	—
760	C₂²×D₄	C₂²×C₄	1	16	yes	—
761	C₂²×D₄	C₂²×C₄	1	16	yes	—
762	C₂²×D₄	C₂²×C₄	1	16	yes	—
763	C₂²×D₄	C₂²×C₄	1	8	yes	complemented
764	C₂²×D₄	C₂⁴	1	2	yes	—
765	C₂²×D₄	C₂⁴	1	2	yes	—
766	C₂²×D₄	C₂⁴	1	2	yes	—
767	C₂²×D₄	C₂⁴	1	2	yes	—
768	C₂²×D₄	C₂⁴	1	2	yes	—
769	C₂²×D₄	C₂⁴	1	2	yes	—
770	C₂²×D₄	C₂⁴	1	2	yes	—
771	C₂²×D₄	C₂⁴	1	2	yes	—
772	C₂²×D₄	C₂⁴	1	2	yes	—
773	C₂²×D₄	C₂⁴	1	2	yes	—
774	C₂²×D₄	C₂⁴	1	2	yes	—
775	C₂²×D₄	C₂⁴	1	2	yes	—
776	C₂²×D₄	C₂⁴	1	1	yes	characteristic
777	C₂²×D₄	C₂⁴	1	1	yes	characteristic
778	C₂²×D₄	C₂⁴	1	2	yes	—
779	C₂³×C₄	—	4	4	no	—
780	C₂³×C₄	—	4	2	no	—
781	C₂³×C₄	—	4	2	no	—
782	C₂³×C₄	—	4	4	no	—
783	C₂³×C₄	—	8	2	no	—
784	C₂³×C₄	—	8	4	no	—
785	C₂³×C₄	—	8	2	no	—
786	C₂³×C₄	C₂²×C₄	1	8	yes	—
787	C₂³×C₄	C₂²×C₄	1	8	yes	—
788	C₂³×C₄	C₂²×C₄	1	16	yes	complemented
789	C₂³×C₄	C₂⁴	1	2	yes	—
790	C₂³×C₄	C₂⁴	1	1	yes	characteristic
791	C₂³×C₄	C₂⁴	1	2	yes	—
792	C₂³×C₄	C₂⁴	1	1	yes	characteristic
793	C₂³×C₄	C₂⁴	1	2	yes	—
794	C₂³×C₄	C₂⁴	1	2	yes	—
795	C₂³×C₄	C₂⁴	1	2	yes	—
796	C₂³×C₄	C₂⁴	1	4	yes	—
797	C₂³×C₄	C₂⁴	1	4	yes	—
798	C₂³×C₄	C₂⁴	1	4	yes	—
799	C₂³×C₄	C₂⁴	1	4	yes	—
800	C₂³×C₄	C₂⁴	1	4	yes	—
801	C₂³×C₄	C₂⁴	1	4	yes	—
802	C₂³×C₄	C₂⁴	1	4	yes	—
803	C₂³×C₄	C₂⁴	1	4	yes	—
804	C₂³×C₄	C₂⁴	1	2	yes	—
805	C₂³×C₄	C₂⁴	1	2	yes	—
806	C₂³×C₄	C₂⁴	1	2	yes	—
807	C₂³×C₄	C₂⁴	1	1	yes	characteristic
808	C₂³×C₄	C₂⁴	1	1	yes	characteristic
809	C₂³×C₄	C₂⁴	1	2	yes	—
810	C₂³×C₄	C₂⁴	1	1	yes	characteristic
811	C₂³×C₄	C₂⁴	1	1	yes	characteristic
812	C₂³×C₄	C₂⁴	1	1	yes	characteristic
813	C₂³×C₄	C₂⁴	1	1	yes	characteristic
814	C₂³×C₄	C₂⁴	1	2	yes	—
815	C₂³×C₄	C₂⁴	1	2	yes	—
816	C₂³×C₄	C₂⁴	1	2	yes	—
817	C₂³×C₄	C₂⁴	1	2	yes	—
818	#126	C₂²×C₄	1	16	yes	—
819	#126	C₂²×C₄	1	16	yes	—
820	#126	C₂²×C₄	1	16	yes	—
821	#126	C₂²×C₄	1	16	yes	—
822	#126	C₂²×C₄	1	16	yes	complemented
823	#126	C₂²×C₄	1	16	yes	complemented
824	#126	C₂²×C₄	1	16	yes	complemented
825	#126	C₂²×C₄	1	16	yes	complemented
826	#124	C₂²×C₄	1	16	yes	—
827	#124	C₂²×C₄	1	16	yes	—
828	#124	C₂²×C₄	1	16	yes	—
829	#124	C₂²×C₄	1	16	yes	—
830	#124	C₂²×C₄	1	16	yes	complemented
831	#124	C₂²×C₄	1	16	yes	complemented
832	#124	C₂²×C₄	1	16	yes	complemented
833	#124	C₂²×C₄	1	16	yes	complemented
834	#123	C₂²×C₄	1	16	yes	—
835	#123	C₂²×C₄	1	16	yes	—
836	#123	C₂²×C₄	1	16	yes	—
837	#123	C₂²×C₄	1	16	yes	—
838	#123	C₂²×C₄	1	16	yes	complemented
839	#123	C₂²×C₄	1	16	yes	complemented
840	#123	C₂²×C₄	1	16	yes	complemented
841	#123	C₂²×C₄	1	16	yes	complemented
842	C₂²⋊Q₈	C₂²×C₄	1	8	yes	—
843	C₂²⋊Q₈	C₂²×C₄	1	8	yes	—
844	C₂²⋊Q₈	C₂²×C₄	1	16	yes	—
845	C₂²⋊Q₈	C₂²×C₄	1	8	yes	complemented
846	C₂²⋊Q₈	C₂²×C₄	1	8	yes	complemented
847	C₂²⋊Q₈	C₂²×C₄	1	16	yes	complemented
848	#121	C₂²×C₄	1	16	yes	—
849	#121	C₂²×C₄	1	16	yes	—
850	#121	C₂²×C₄	1	16	yes	—
851	#121	C₂²×C₄	1	16	yes	—
852	#121	C₂²×C₄	1	8	yes	—
853	#121	C₂²×C₄	1	8	yes	—
854	#121	C₂²×C₄	1	16	yes	—
855	#121	C₂²×C₄	1	16	yes	complemented
856	#121	C₂²×C₄	1	16	yes	complemented
857	#121	C₂²×C₄	1	16	yes	complemented
858	#121	C₂²×C₄	1	16	yes	complemented
859	#121	C₂²×C₄	1	8	yes	complemented
860	#121	C₂²×C₄	1	8	yes	complemented
861	#121	C₂²×C₄	1	16	yes	complemented
862	#120	C₂²×C₄	1	16	yes	—
863	#120	C₂²×C₄	1	16	yes	—
864	#120	C₂²×C₄	1	16	yes	—
865	#120	C₂²×C₄	1	16	yes	—
866	#120	C₂²×C₄	1	16	yes	—
867	#120	C₂²×C₄	1	16	yes	—
868	#120	C₂²×C₄	1	16	yes	—
869	#120	C₂²×C₄	1	16	yes	—
870	C₄×Q₈	—	4	4	no	—
871	C₄×Q₈	—	4	4	no	—
872	C₄×Q₈	—	4	8	no	—
873	C₄×D₄	—	4	8	no	—
874	C₄×D₄	—	4	4	no	—
875	C₄×D₄	—	4	8	no	—
876	C₄×D₄	—	4	4	no	—
877	C₄×D₄	—	4	8	no	—
878	C₄×D₄	—	4	8	no	—
879	C₄×D₄	—	4	8	no	—
880	C₄×D₄	—	4	8	no	—
881	C₄×D₄	—	4	8	no	—
882	C₄×D₄	—	4	8	no	—
883	C₄×D₄	—	4	8	no	—
884	C₄×D₄	—	8	4	no	—
885	C₄×D₄	—	8	4	no	—
886	C₄×D₄	—	8	4	no	—
887	C₄×D₄	—	8	4	no	—
888	C₄×D₄	C₂²×C₄	1	16	yes	—
889	C₄×D₄	C₂²×C₄	1	16	yes	—
890	C₄×D₄	C₂²×C₄	1	16	yes	—
891	C₄×D₄	C₂²×C₄	1	16	yes	—
892	C₄×D₄	C₂²×C₄	1	16	yes	complemented
893	C₄×D₄	C₂²×C₄	1	16	yes	complemented
894	C₄×D₄	C₂²×C₄	1	16	yes	complemented
895	C₄×D₄	C₂²×C₄	1	16	yes	complemented
896	#117	—	2	4	no	—
897	#117	—	2	4	no	—
898	#117	—	2	8	no	—
899	#117	—	4	4	no	—
900	#117	—	4	4	no	—
901	#117	—	4	2	no	—
902	#117	—	4	2	no	—
903	#117	—	4	2	no	—
904	#117	—	4	4	no	—
905	#117	—	4	2	no	—
906	#117	—	4	4	no	—
907	#117	—	4	2	no	—
908	#117	—	4	2	no	—
909	#117	—	4	4	no	—
910	#117	—	8	4	no	—
911	#117	—	8	4	no	—
912	#117	—	8	4	no	—
913	C₂×C₄⋊C₄	—	4	4	no	—
914	C₂×C₄⋊C₄	—	8	2	no	—
915	C₂×C₄⋊C₄	—	8	4	no	—
916	C₂×C₄⋊C₄	C₂²×C₄	1	16	yes	complemented
917	C₂×C₄⋊C₄	C₂²×C₄	1	16	yes	complemented
918	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
919	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
920	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
921	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
922	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
923	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
924	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
925	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
926	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
927	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
928	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
929	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
930	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
931	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
932	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
933	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
934	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
935	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
936	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
937	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
938	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
939	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
940	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
941	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
942	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
943	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
944	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
945	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
946	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
947	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
948	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
955	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
956	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
958	C₂×C₂²⋊C₄	—	2	4	no	—
959	C₂×C₂²⋊C₄	—	2	8	no	—
960	C₂×C₂²⋊C₄	—	2	8	no	—
961	C₂×C₂²⋊C₄	—	4	8	no	—
962	C₂×C₂²⋊C₄	—	4	4	no	—
963	C₂×C₂²⋊C₄	—	4	2	no	—
964	C₂×C₂²⋊C₄	—	4	4	no	—
965	C₂×C₂²⋊C₄	—	4	2	no	—
966	C₂×C₂²⋊C₄	—	4	4	no	—
967	C₂×C₂²⋊C₄	—	4	4	no	—
968	C₂×C₂²⋊C₄	—	4	8	no	—
969	C₂×C₂²⋊C₄	—	4	2	no	—
970	C₂×C₂²⋊C₄	—	4	4	no	—
971	C₂×C₂²⋊C₄	—	4	4	no	—
972	C₂×C₂²⋊C₄	—	4	4	no	—
973	C₂×C₂²⋊C₄	—	4	4	no	—
974	C₂×C₂²⋊C₄	—	8	4	no	—
975	C₂×C₂²⋊C₄	—	8	2	no	—
976	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
977	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
978	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
979	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
980	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
981	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
982	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
983	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
984	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
985	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
986	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
987	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	complemented
988	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	complemented
989	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
990	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
992	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
993	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
994	C₂×C₂²⋊C₄	C₂⁴	1	4	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	1	yes	characteristic
999	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1000	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1001	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1002	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1003	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1004	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1005	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1006	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1007	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1008	C₂×C₂²⋊C₄	C₂⁴	1	4	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	2	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	4	yes	—
1021	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1022	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1023	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1024	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1025	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1026	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1027	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1028	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1029	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1030	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1031	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1032	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1033	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1034	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1035	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1036	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
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	2	yes	—
1041	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1042	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1043	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1044	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1045	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1046	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1047	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1048	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1049	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1050	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1051	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1052	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1053	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1054	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1055	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1056	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1057	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
1058	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1059	C₂×C₄²	—	4	4	no	—
1060	C₂×C₄²	—	8	2	no	—
1061	C₂×C₄²	—	8	4	no	—
1062	C₂×C₄²	C₂²×C₄	1	16	yes	complemented
1063	C₂×C₄²	C₂⁴	1	2	yes	—
1064	C₂×C₄²	C₂⁴	1	2	yes	—
1065	C₂×C₄²	C₂⁴	1	4	yes	—
1066	C₂×C₄²	C₂⁴	1	2	yes	—
1067	C₂×C₄²	C₂⁴	1	2	yes	—
1068	C₂×C₄²	C₂⁴	1	4	yes	—
1069	C₂×C₄²	C₂⁴	1	4	yes	—
1070	C₂×C₄²	C₂⁴	1	2	yes	—
1071	C₂×C₄²	C₂⁴	1	2	yes	—
1072	C₂×C₄²	C₂⁴	1	4	yes	—
1073	C₂×C₄²	C₂⁴	1	4	yes	—
1074	C₂×C₄²	C₂⁴	1	4	yes	—
1075	C₂×C₄²	C₂⁴	1	2	yes	—
1076	C₂×C₄²	C₂⁴	1	2	yes	—
1077	C₂×C₄²	C₂⁴	1	4	yes	—
1078	C₂×C₄²	C₂⁴	1	4	yes	—
1079	C₂×C₄²	C₂⁴	1	4	yes	—
1080	C₂×C₄²	C₂⁴	1	4	yes	—
1081	C₂×C₄²	C₂⁴	1	4	yes	—
1082	C₂×C₄²	C₂⁴	1	4	yes	—
1083	C₂×C₄²	C₂⁴	1	4	yes	—
1084	C₂×C₄²	C₂⁴	1	4	yes	—
1085	C₂×C₄²	C₂⁴	1	4	yes	—
1086	C₂×C₄²	C₂⁴	1	4	yes	—
1087	C₂×C₄²	C₂⁴	1	2	yes	—
1088	C₂×C₄²	C₂⁴	1	2	yes	—
1089	C₂×C₄²	C₂⁴	1	2	yes	—
1090	C₂×C₄²	C₂⁴	1	2	yes	—
1091	#95	C₂⁴	1	4	yes	—
1092	#95	C₂⁴	1	4	yes	—
1093	#95	C₂⁴	1	4	yes	—
1094	#95	C₂⁴	1	4	yes	—
1095	#95	C₂⁴	1	4	yes	—
1096	#95	C₂⁴	1	4	yes	—
1097	#95	C₂⁴	1	4	yes	—
1098	#95	C₂⁴	1	4	yes	—
1099	#95	C₂⁴	1	4	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	4	yes	—
1121	#95	C₂⁴	1	4	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	C₂⁴	—	2	2	no	—
1132	C₂⁴	—	2	2	no	—
1133	C₂⁴	—	2	4	no	—
1134	C₂⁴	—	2	4	no	—
1135	C₂⁴	—	2	4	no	—
1136	C₂⁴	—	2	4	no	—
1137	C₂⁴	—	2	4	no	—
1138	C₂⁴	—	2	4	no	—
1139	C₂⁴	—	2	4	no	—
1140	C₂⁴	—	4	1	no	—
1141	C₂⁴	—	4	2	no	—
1142	C₂⁴	—	4	2	no	—
1143	C₂⁴	—	4	1	no	—
1144	C₂⁴	—	4	1	no	—
1145	C₂⁴	—	4	2	no	—
1146	C₂⁴	—	4	2	no	—
1147	C₂⁴	—	4	4	no	—
1148	C₂⁴	—	4	4	no	—
1149	C₂⁴	—	4	4	no	—
1150	C₂⁴	—	4	4	no	—
1151	C₂⁴	—	4	16	no	—
1152	C₂⁴	—	4	16	no	—
1153	C₂⁴	—	4	1	no	—
1154	C₂⁴	—	4	4	no	—
1155	C₂⁴	—	4	4	no	—
1156	C₂⁴	—	4	2	no	—
1157	C₂⁴	—	8	8	no	—
1158	C₂⁴	—	8	16	no	—
1159	C₂⁴	—	8	16	no	—
1160	C₂⁴	C₂³×C₄	1	4	yes	—
1161	C₂⁴	C₂³×C₄	1	8	yes	—
1162	C₂⁴	C₂³×C₄	1	4	yes	—
1163	C₂⁴	C₂³×C₄	1	4	yes	—
1164	C₂⁴	C₂³×C₄	1	8	yes	—
1165	C₂⁴	C₂³×C₄	1	8	yes	—
1166	C₂⁴	C₂⁵	1	1	yes	characteristic
1167	C₂⁴	C₂⁵	1	2	yes	—
1168	C₂⁴	C₂⁵	1	2	yes	—
1169	C₂⁴	C₂⁵	1	2	yes	—
1170	C₂⁴	C₂⁵	1	2	yes	—
1171	C₂⁴	C₂⁵	1	1	yes	characteristic
1172	C₂⁴	C₂⁵	1	1	yes	characteristic
1173	C₂×Q₈	—	4	1	no	—
1174	C₂×Q₈	—	4	1	no	—
1175	C₂×Q₈	—	4	2	no	—
1176	C₂×Q₈	—	4	16	no	—
1177	C₂×Q₈	—	4	2	no	—
1178	C₂×Q₈	—	4	1	no	—
1179	C₂×Q₈	—	4	1	no	—
1180	C₂×Q₈	C₂³×C₄	1	4	yes	—
1181	C₂×Q₈	C₂³×C₄	1	4	yes	—
1182	C₂×Q₈	C₂³×C₄	1	8	yes	—
1183	C₂×D₄	—	2	8	no	—
1184	C₂×D₄	—	2	8	no	—
1185	C₂×D₄	—	4	1	no	—
1186	C₂×D₄	—	4	1	no	—
1187	C₂×D₄	—	4	2	no	—
1188	C₂×D₄	—	4	2	no	—
1189	C₂×D₄	—	4	2	no	—
1190	C₂×D₄	—	4	2	no	—
1191	C₂×D₄	—	4	2	no	—
1192	C₂×D₄	—	4	4	no	—
1193	C₂×D₄	—	4	4	no	—
1194	C₂×D₄	—	4	4	no	—
1195	C₂×D₄	—	4	4	no	—
1196	C₂×D₄	—	4	32	no	—
1197	C₂×D₄	—	4	16	no	—
1198	C₂×D₄	—	4	4	no	—
1199	C₂×D₄	—	4	4	no	—
1200	C₂×D₄	—	4	2	no	—
1201	C₂×D₄	—	4	2	no	—
1202	C₂×D₄	—	4	2	no	—
1203	C₂×D₄	—	4	1	no	—
1204	C₂×D₄	—	4	1	no	—
1205	C₂×D₄	—	4	2	no	—
1206	C₂×D₄	—	4	2	no	—
1207	C₂×D₄	—	4	32	no	—
1208	C₂×D₄	—	8	16	no	—
1209	C₂×D₄	C₂³×C₄	1	8	yes	—
1210	C₂×D₄	C₂³×C₄	1	8	yes	—
1211	C₂×D₄	C₂³×C₄	1	8	yes	—
1212	C₂×D₄	C₂³×C₄	1	8	yes	—
1213	C₂×D₄	C₂³×C₄	1	8	yes	—
1214	C₂×D₄	C₂³×C₄	1	8	yes	—
1215	C₂×D₄	C₂³×C₄	1	8	yes	—
1216	C₂×D₄	C₂³×C₄	1	8	yes	—
1217	C₂×D₄	C₂³×C₄	1	8	yes	—
1218	C₂×D₄	C₂³×C₄	1	8	yes	—
1219	C₂×D₄	C₂³×C₄	1	8	yes	—
1220	C₂×D₄	C₂³×C₄	1	8	yes	—
1221	C₂×D₄	C₂³×C₄	1	8	yes	—
1222	C₂×D₄	C₂³×C₄	1	4	yes	—
1223	C₂×D₄	C₂³×C₄	1	4	yes	—
1224	C₂²×C₄	—	2	2	no	—
1225	C₂²×C₄	—	2	2	no	—
1226	C₂²×C₄	—	2	4	no	—
1227	C₂²×C₄	—	2	2	no	—
1228	C₂²×C₄	—	2	2	no	—
1229	C₂²×C₄	—	2	4	no	—
1230	C₂²×C₄	—	2	4	no	—
1231	C₂²×C₄	—	2	4	no	—
1232	C₂²×C₄	—	2	4	no	—
1233	C₂²×C₄	—	2	4	no	—
1234	C₂²×C₄	—	2	4	no	—
1235	C₂²×C₄	—	2	8	no	—
1236	C₂²×C₄	—	2	8	no	—
1237	C₂²×C₄	—	4	1	no	—
1238	C₂²×C₄	—	4	2	no	—
1239	C₂²×C₄	—	4	4	no	—
1240	C₂²×C₄	—	4	2	no	—
1241	C₂²×C₄	—	4	1	no	—
1242	C₂²×C₄	—	4	4	no	—
1243	C₂²×C₄	—	4	2	no	—
1244	C₂²×C₄	—	4	1	no	—
1245	C₂²×C₄	—	4	1	no	—
1246	C₂²×C₄	—	4	4	no	—
1247	C₂²×C₄	—	4	4	no	—
1248	C₂²×C₄	—	4	4	no	—
1249	C₂²×C₄	—	4	16	no	—
1250	C₂²×C₄	—	4	1	no	—
1251	C₂²×C₄	—	4	1	no	—
1252	C₂²×C₄	—	4	1	no	—
1253	C₂²×C₄	—	4	1	no	—
1254	C₂²×C₄	—	4	4	no	—
1255	C₂²×C₄	—	4	4	no	—
1256	C₂²×C₄	—	4	4	no	—
1257	C₂²×C₄	—	4	2	no	—
1258	C₂²×C₄	—	4	2	no	—
1259	C₂²×C₄	—	4	4	no	—
1260	C₂²×C₄	—	4	4	no	—
1261	C₂²×C₄	—	4	4	no	—
1262	C₂²×C₄	—	4	2	no	—
1263	C₂²×C₄	—	4	2	no	—
1264	C₂²×C₄	—	4	4	no	—
1265	C₂²×C₄	—	4	2	no	—
1266	C₂²×C₄	—	4	2	no	—
1267	C₂²×C₄	—	4	4	no	—
1268	C₂²×C₄	—	4	4	no	—
1269	C₂²×C₄	—	4	4	no	—
1270	C₂²×C₄	—	4	4	no	—
1271	C₂²×C₄	—	4	4	no	—
1272	C₂²×C₄	—	4	4	no	—
1273	C₂²×C₄	—	4	4	no	—
1274	C₂²×C₄	—	4	4	no	—
1275	C₂²×C₄	—	4	4	no	—
1276	C₂²×C₄	—	4	4	no	—
1277	C₂²×C₄	—	4	4	no	—
1278	C₂²×C₄	—	4	4	no	—
1279	C₂²×C₄	—	4	4	no	—
1280	C₂²×C₄	—	4	4	no	—
1281	C₂²×C₄	—	4	4	no	—
1282	C₂²×C₄	—	4	4	no	—
1283	C₂²×C₄	—	4	4	no	—
1284	C₂²×C₄	—	4	4	no	—
1285	C₂²×C₄	—	8	8	no	—
1286	C₂²×C₄	—	8	16	no	—
1287	C₂²×C₄	—	8	16	no	—
1288	C₂²×C₄	C₂³×C₄	1	8	yes	—
1289	C₂²×C₄	C₂³×C₄	1	4	yes	—
1290	C₂²×C₄	C₂³×C₄	1	4	yes	—
1291	C₂²×C₄	C₂³×C₄	1	8	yes	—
1292	C₂²×C₄	C₂³×C₄	1	8	yes	—
1293	C₂²×C₄	C₂³×C₄	1	8	yes	—
1294	C₂²×C₄	C₂³×C₄	1	4	yes	—
1295	C₂²×C₄	C₂³×C₄	1	4	yes	—
1296	C₂²×C₄	C₂³×C₄	1	8	yes	—
1297	C₂²×C₄	C₂³×C₄	1	4	yes	—
1298	C₂²×C₄	C₂³×C₄	1	4	yes	—
1299	C₂²×C₄	C₂³×C₄	1	4	yes	—
1300	C₂²×C₄	C₂³×C₄	1	4	yes	—
1301	C₂²×C₄	C₂³×C₄	1	8	yes	—
1302	C₂²×C₄	C₂³×C₄	1	8	yes	—
1303	C₂²×C₄	C₂³×C₄	1	8	yes	—
1304	C₂²×C₄	C₂³×C₄	1	8	yes	—
1305	C₂²×C₄	C₂⁵	1	4	yes	—
1306	C₂²×C₄	C₂⁵	1	4	yes	—
1307	C₂²×C₄	C₂⁵	1	4	yes	—
1308	C₂²×C₄	C₂⁵	1	4	yes	—
1309	C₂²×C₄	C₂⁵	1	2	yes	—
1310	C₂²×C₄	C₂⁵	1	4	yes	—
1311	C₂²×C₄	C₂⁵	1	2	yes	—
1312	C₂²×C₄	C₂⁵	1	4	yes	—
1313	C₂²×C₄	C₂⁵	1	2	yes	—
1314	C₂²×C₄	C₂⁵	1	2	yes	—
1315	C₂²×C₄	C₂⁵	1	2	yes	—
1316	C₂²×C₄	C₂⁵	1	2	yes	—
1317	C₂²×C₄	C₂⁵	1	2	yes	—
1318	C₂²×C₄	C₂⁵	1	2	yes	—
1319	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1320	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1321	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1322	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1323	C₂²×C₄	C₂⁵	1	2	yes	—
1324	C₂²×C₄	C₂⁵	1	2	yes	—
1325	C₂²×C₄	C₂⁵	1	2	yes	—
1326	C₂²×C₄	C₂⁵	1	2	yes	—
1327	C₄⋊C₄	—	2	4	no	—
1328	C₄⋊C₄	—	2	4	no	—
1329	C₄⋊C₄	—	2	8	no	—
1330	C₄⋊C₄	—	4	2	no	—
1331	C₄⋊C₄	—	4	2	no	—
1332	C₄⋊C₄	—	4	4	no	—
1333	C₄⋊C₄	—	4	4	no	—
1334	C₄⋊C₄	—	4	4	no	—
1335	C₄⋊C₄	—	4	4	no	—
1336	C₄⋊C₄	—	4	4	no	—
1337	C₄⋊C₄	—	4	2	no	—
1338	C₄⋊C₄	—	4	2	no	—
1339	C₄⋊C₄	—	4	4	no	—
1340	C₄⋊C₄	—	4	2	no	—
1341	C₄⋊C₄	—	4	4	no	—
1342	C₄⋊C₄	—	4	2	no	—
1343	C₄⋊C₄	—	4	4	no	—
1344	C₄⋊C₄	—	4	4	no	—
1345	C₄⋊C₄	—	4	4	no	—
1346	C₄⋊C₄	—	4	4	no	—
1347	C₄⋊C₄	—	4	4	no	—
1348	C₄⋊C₄	—	4	4	no	—
1349	C₄⋊C₄	—	4	4	no	—
1350	C₄⋊C₄	—	4	4	no	—
1351	C₄⋊C₄	C₂³×C₄	1	8	yes	—
1352	C₄⋊C₄	C₂³×C₄	1	8	yes	—
1353	C₄⋊C₄	C₂³×C₄	1	8	yes	—
1354	C₄⋊C₄	C₂³×C₄	1	8	yes	—
1355	C₄⋊C₄	C₂³×C₄	1	8	yes	—
1356	C₄⋊C₄	C₂³×C₄	1	8	yes	—
1357	C₄⋊C₄	C₂³×C₄	1	8	yes	—
1358	C₄⋊C₄	C₂³×C₄	1	8	yes	—
1359	C₄⋊C₄	C₂³×C₄	1	4	yes	—
1360	C₄⋊C₄	C₂³×C₄	1	4	yes	—
1361	C₄⋊C₄	C₂³×C₄	1	8	yes	—
1362	C₄⋊C₄	C₂³×C₄	1	4	yes	—
1363	C₄⋊C₄	C₂³×C₄	1	4	yes	—
1364	C₄⋊C₄	C₂³×C₄	1	8	yes	—
1365	C₂²⋊C₄	—	2	4	no	—
1366	C₂²⋊C₄	—	2	2	no	—
1367	C₂²⋊C₄	—	2	4	no	—
1368	C₂²⋊C₄	—	2	2	no	—
1369	C₂²⋊C₄	—	2	4	no	—
1370	C₂²⋊C₄	—	2	2	no	—
1371	C₂²⋊C₄	—	2	4	no	—
1372	C₂²⋊C₄	—	2	4	no	—
1373	C₂²⋊C₄	—	2	4	no	—
1374	C₂²⋊C₄	—	2	8	no	—
1375	C₂²⋊C₄	—	2	8	no	—
1376	C₂²⋊C₄	—	2	4	no	—
1377	C₂²⋊C₄	—	2	8	no	—
1378	C₂²⋊C₄	—	2	8	no	—
1379	C₂²⋊C₄	—	4	4	no	—
1380	C₂²⋊C₄	—	4	2	no	—
1381	C₂²⋊C₄	—	4	4	no	—
1382	C₂²⋊C₄	—	4	4	no	—
1383	C₂²⋊C₄	—	4	4	no	—
1384	C₂²⋊C₄	—	4	2	no	—
1385	C₂²⋊C₄	—	4	4	no	—
1386	C₂²⋊C₄	—	4	4	no	—
1387	C₂²⋊C₄	—	4	4	no	—
1388	C₂²⋊C₄	—	4	2	no	—
1389	C₂²⋊C₄	—	4	4	no	—
1390	C₂²⋊C₄	—	4	4	no	—
1391	C₂²⋊C₄	—	4	4	no	—
1392	C₂²⋊C₄	—	4	4	no	—
1393	C₂²⋊C₄	—	4	4	no	—
1394	C₂²⋊C₄	—	4	4	no	—
1395	C₂²⋊C₄	—	4	4	no	—
1396	C₂²⋊C₄	—	4	4	no	—
1397	C₂²⋊C₄	—	4	4	no	—
1398	C₂²⋊C₄	—	4	4	no	—
1399	C₂²⋊C₄	—	4	4	no	—
1400	C₂²⋊C₄	—	4	4	no	—
1401	C₂²⋊C₄	—	4	4	no	—
1402	C₂²⋊C₄	—	4	4	no	—
1403	C₂²⋊C₄	—	4	4	no	—
1404	C₂²⋊C₄	—	4	4	no	—
1405	C₂²⋊C₄	—	4	4	no	—
1406	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1407	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1408	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1409	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1410	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1411	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1412	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1413	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1414	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1415	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1416	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1417	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1418	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1419	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1420	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1421	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1422	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1423	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1424	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1425	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1426	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1427	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1428	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1429	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1430	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1431	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1432	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1433	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
1434	C₂²⋊C₄	H(5,𝔽₂)	1	4	yes	—
1435	C₄²	—	2	4	no	—
1436	C₄²	—	2	4	no	—
1437	C₄²	—	2	8	no	—
1438	C₄²	—	4	2	no	—
1439	C₄²	—	4	2	no	—
1440	C₄²	—	4	4	no	—
1441	C₄²	—	4	4	no	—
1442	C₄²	—	4	4	no	—
1443	C₄²	—	4	4	no	—
1444	C₄²	—	4	4	no	—
1445	C₄²	—	4	2	no	—
1446	C₄²	—	4	2	no	—
1447	C₄²	—	4	4	no	—
1448	C₄²	—	4	4	no	—
1449	C₄²	—	4	2	no	—
1450	C₄²	—	4	4	no	—
1451	C₄²	—	4	2	no	—
1452	C₄²	—	4	4	no	—
1453	C₄²	—	4	4	no	—
1454	C₄²	—	4	4	no	—
1455	C₄²	—	4	4	no	—
1456	C₄²	—	4	4	no	—
1457	C₄²	—	4	4	no	—
1458	C₄²	—	4	4	no	—
1459	C₄²	C₂³×C₄	1	8	yes	—
1460	C₄²	C₂³×C₄	1	8	yes	—
1461	C₄²	C₂³×C₄	1	8	yes	—
1462	C₄²	C₂³×C₄	1	8	yes	—
1463	C₂³	—	2	1	no	—
1464	C₂³	—	2	1	no	—
1465	C₂³	—	2	2	no	—
1466	C₂³	—	2	2	no	—
1467	C₂³	—	2	2	no	—
1468	C₂³	—	2	1	no	—
1469	C₂³	—	2	2	no	—
1470	C₂³	—	2	2	no	—
1471	C₂³	—	2	2	no	—
1472	C₂³	—	2	2	no	—
1473	C₂³	—	2	4	no	—
1474	C₂³	—	2	4	no	—
1475	C₂³	—	2	4	no	—
1476	C₂³	—	2	4	no	—
1477	C₂³	—	2	1	no	—
1478	C₂³	—	2	2	no	—
1479	C₂³	—	2	2	no	—
1480	C₂³	—	2	2	no	—
1481	C₂³	—	2	2	no	—
1482	C₂³	—	2	2	no	—
1483	C₂³	—	2	2	no	—
1484	C₂³	—	2	4	no	—
1485	C₂³	—	2	4	no	—
1486	C₂³	—	2	4	no	—
1487	C₂³	—	2	4	no	—
1488	C₂³	—	2	8	no	—
1489	C₂³	—	2	8	no	—
1490	C₂³	—	2	8	no	—
1491	C₂³	—	2	8	no	—
1492	C₂³	—	2	16	no	—
1493	C₂³	—	2	16	no	—
1494	C₂³	—	4	4	no	—
1495	C₂³	—	4	4	no	—
1496	C₂³	—	4	4	no	—
1497	C₂³	—	4	8	no	—
1498	C₂³	—	4	8	no	—
1499	C₂³	—	4	8	no	—
1500	C₂³	—	4	8	no	—
1501	C₂³	—	4	4	no	—
1502	C₂³	—	4	8	no	—
1503	C₂³	—	4	8	no	—
1504	C₂³	—	4	4	no	—
1505	C₂³	—	4	8	no	—
1506	C₂³	—	4	8	no	—
1507	C₂³	—	4	8	no	—
1508	C₂³	—	4	8	no	—
1509	C₂³	—	4	8	no	—
1510	C₂³	—	8	8	no	—
1511	C₂³	—	8	8	no	—
1512	C₂³	—	8	4	no	—
1513	C₂³	—	8	8	no	—
1514	C₂³	—	8	4	no	—
1515	C₂³	—	8	8	no	—
1516	C₂³	—	8	8	no	—
1517	C₂³	—	8	8	no	—
1518	C₂³	—	8	64	no	—
1519	C₂³	C₂⁴×C₄	1	4	yes	—
1520	C₂³	C₂⁴×C₄	1	4	yes	—
1521	C₂³	C₂⁴×C₄	1	2	yes	—
1522	C₂³	C₂⁴×C₄	1	4	yes	—
1523	C₂³	C₂⁴×C₄	1	4	yes	—
1524	C₂³	C₂⁴×C₄	1	2	yes	—
1525	C₂³	C₂⁴×C₄	1	2	yes	—
1526	C₂³	C₂×H(5,𝔽₂)	1	2	yes	—
1527	C₂³	#585	1	4	yes	—
1528	C₂³	#585	1	2	yes	—
1529	C₂³	C₂⁶	1	1	yes	characteristic
1530	Q₈	—	4	4	no	—
1531	Q₈	—	4	4	no	—
1532	Q₈	—	4	8	no	—
1533	D₄	—	2	16	no	—
1534	D₄	—	2	16	no	—
1535	D₄	—	4	8	no	—
1536	D₄	—	4	8	no	—
1537	D₄	—	4	4	no	—
1538	D₄	—	4	4	no	—
1539	D₄	—	4	8	no	—
1540	D₄	—	4	8	no	—
1541	D₄	—	4	8	no	—
1542	D₄	—	4	8	no	—
1543	D₄	—	4	8	no	—
1544	D₄	—	4	8	no	—
1545	D₄	—	4	8	no	—
1546	D₄	—	4	8	no	—
1547	D₄	—	4	8	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	2	no	—
1551	C₂×C₄	—	2	2	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	4	no	—
1555	C₂×C₄	—	2	4	no	—
1556	C₂×C₄	—	2	2	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	2	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	2	no	—
1563	C₂×C₄	—	2	4	no	—
1564	C₂×C₄	—	2	2	no	—
1565	C₂×C₄	—	2	4	no	—
1566	C₂×C₄	—	2	4	no	—
1567	C₂×C₄	—	2	4	no	—
1568	C₂×C₄	—	2	8	no	—
1569	C₂×C₄	—	2	8	no	—
1570	C₂×C₄	—	2	16	no	—
1571	C₂×C₄	—	2	2	no	—
1572	C₂×C₄	—	2	4	no	—
1573	C₂×C₄	—	2	2	no	—
1574	C₂×C₄	—	2	2	no	—
1575	C₂×C₄	—	2	4	no	—
1576	C₂×C₄	—	2	4	no	—
1577	C₂×C₄	—	2	4	no	—
1578	C₂×C₄	—	2	4	no	—
1579	C₂×C₄	—	2	2	no	—
1580	C₂×C₄	—	2	4	no	—
1581	C₂×C₄	—	2	4	no	—
1582	C₂×C₄	—	2	4	no	—
1583	C₂×C₄	—	2	4	no	—
1584	C₂×C₄	—	2	4	no	—
1585	C₂×C₄	—	2	4	no	—
1586	C₂×C₄	—	2	4	no	—
1587	C₂×C₄	—	2	2	no	—
1588	C₂×C₄	—	2	2	no	—
1589	C₂×C₄	—	2	4	no	—
1590	C₂×C₄	—	2	4	no	—
1591	C₂×C₄	—	2	2	no	—
1592	C₂×C₄	—	2	4	no	—
1593	C₂×C₄	—	2	2	no	—
1594	C₂×C₄	—	2	4	no	—
1595	C₂×C₄	—	2	4	no	—
1596	C₂×C₄	—	2	4	no	—
1597	C₂×C₄	—	2	2	no	—
1598	C₂×C₄	—	4	4	no	—
1599	C₂×C₄	—	4	4	no	—
1600	C₂×C₄	—	4	4	no	—
1601	C₂×C₄	—	4	4	no	—
1602	C₂×C₄	—	4	8	no	—
1603	C₂×C₄	—	4	4	no	—
1604	C₂×C₄	—	4	4	no	—
1605	C₂×C₄	—	4	8	no	—
1606	C₂×C₄	—	4	8	no	—
1607	C₂×C₄	—	4	8	no	—
1608	C₂×C₄	—	4	8	no	—
1609	C₂×C₄	—	4	8	no	—
1610	C₂×C₄	—	4	8	no	—
1611	C₂×C₄	—	4	8	no	—
1612	C₂×C₄	—	4	8	no	—
1613	C₂×C₄	—	8	8	no	—
1614	C₂×C₄	—	8	8	no	—
1615	C₂×C₄	—	8	4	no	—
1616	C₂×C₄	—	8	4	no	—
1617	C₂×C₄	—	8	4	no	—
1618	C₂×C₄	—	8	8	no	—
1619	C₂×C₄	—	8	8	no	—
1620	C₂×C₄	—	16	4	no	—
1621	C₂×C₄	—	16	4	no	—
1622	C₂×C₄	—	16	4	no	—
1623	C₂×C₄	—	16	4	no	—
1624	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1625	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1626	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1627	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1628	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1629	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1630	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1631	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1632	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1633	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1634	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1635	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1636	C₂×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1637	C₂²	—	2	2	no	—
1638	C₂²	—	2	2	no	—
1639	C₂²	—	2	2	no	—
1640	C₂²	—	2	2	no	—
1641	C₂²	—	2	4	no	—
1642	C₂²	—	2	4	no	—
1643	C₂²	—	2	4	no	—
1644	C₂²	—	2	4	no	—
1645	C₂²	—	2	4	no	—
1646	C₂²	—	2	4	no	—
1647	C₂²	—	2	2	no	—
1648	C₂²	—	2	4	no	—
1649	C₂²	—	2	4	no	—
1650	C₂²	—	2	2	no	—
1651	C₂²	—	2	4	no	—
1652	C₂²	—	2	4	no	—
1653	C₂²	—	2	4	no	—
1654	C₂²	—	2	4	no	—
1655	C₂²	—	2	4	no	—
1656	C₂²	—	2	4	no	—
1657	C₂²	—	2	2	no	—
1658	C₂²	—	2	4	no	—
1659	C₂²	—	2	4	no	—
1660	C₂²	—	4	16	no	—
1661	C₂²	—	4	16	no	—
1662	C₂²	—	4	4	no	—
1663	C₂²	—	4	4	no	—
1664	C₂²	—	4	4	no	—
1665	C₂²	—	4	4	no	—
1666	C₂²	—	4	2	no	—
1667	C₂²	—	4	4	no	—
1668	C₂²	—	4	4	no	—
1669	C₂²	—	4	4	no	—
1670	C₂²	—	4	2	no	—
1671	C₂²	—	4	4	no	—
1672	C₂²	—	8	16	no	—
1673	C₂²	—	8	8	no	—
1674	C₂²	—	8	16	no	—
1675	C₂²	—	8	16	no	—
1676	C₂²	#3428	1	4	yes	—
1677	C₂²	C₄×H(5,𝔽₂)	1	4	yes	—
1678	C₂²	C₂⁵×C₄	1	1	yes	characteristic
1679	C₂²	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1680	C₂²	C₂×#585	1	2	yes	—
1681	C₂²	C₂×#585	1	1	yes	characteristic
1682	C₂²	H(7,𝔽₂)	1	2	yes	—
1683	C₄	—	2	4	no	—
1684	C₄	—	2	4	no	—
1685	C₄	—	2	2	no	—
1686	C₄	—	2	2	no	—
1687	C₄	—	2	2	no	—
1688	C₄	—	2	2	no	—
1689	C₄	—	2	4	no	—
1690	C₄	—	2	4	no	—
1691	C₄	—	2	4	no	—
1692	C₄	—	2	4	no	—
1693	C₄	—	2	4	no	—
1694	C₄	—	2	4	no	—
1695	C₄	—	2	4	no	—
1696	C₄	—	4	2	no	—
1697	C₄	—	4	2	no	—
1698	C₄	—	4	4	no	—
1699	C₄	—	4	2	no	—
1700	C₄	—	4	4	no	—
1701	C₄	—	4	4	no	—
1702	C₄	—	4	4	no	—
1703	C₄	—	4	4	no	—
1704	C₄	—	4	4	no	—
1705	C₂	—	2	4	no	—
1706	C₂	—	2	4	no	—
1707	C₂	—	4	2	no	—
1708	C₂	—	4	4	no	—
1709	C₂	—	4	4	no	—
1710	C₂	—	4	4	no	—
1711	C₂	—	4	4	no	—
1712	C₂	C₂×#3428	1	1	yes	characteristic
1713	C₂	C₂×C₄×H(5,𝔽₂)	1	1	yes	characteristic
1714	C₂	#62652	1	1	yes	characteristic
1715	C₂	#62918	1	2	yes	—
1716	C₂	#62933	1	2	yes	—

	subgroup	G/H
center, Frattini, socle, cosocle	C₂³	C₂⁶
commutator	C₂²	C₂⁵×C₄
prime radical	C₂²×#538	C₂
LCS	G ▷ C₂² ▷ 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
2. #34454	C₂	semidirect
3. #34451	C₂	semidirect
4. #34446	C₂	semidirect
5. #34441	C₂	semidirect
6. #34426	C₂	semidirect
7. #34424	C₂	semidirect
8. #34416	C₂	semidirect
9. #34381	C₂	semidirect
10. #34376	C₂	semidirect
11. #34366	C₂	semidirect
12. #34363	C₂	semidirect
13. #34359	C₂	semidirect
14. #34358	C₂	semidirect
15. #34356	C₂	semidirect
16. #34283	C₂	semidirect
17. #34277	C₂	semidirect
18. #34247	C₂	semidirect
19. #34238	C₂	semidirect
20. #34211	C₂	semidirect
21. #34205	C₂	semidirect
22. #34204	C₂	semidirect
23. #34203	C₂	semidirect
24. #34198	C₂	semidirect
25. #34194	C₂	semidirect
26. #34176	C₂	semidirect
27. #34126	C₂	semidirect
28. C₂×#2342	C₂	semidirect
29. C₄×#538	C₂	semidirect
30. C₂×#538	C₄	semidirect
48. C₂×#519	C₂²	semidirect
50. C₂×#518	C₂²	semidirect
55. #2383	C₂²	semidirect
56. #2383	C₂²	semidirect
57. #2379	C₂²	semidirect
58. #2379	C₂²	semidirect
59. #2378	C₂²	semidirect
60. #2377	C₂²	semidirect
61. #2377	C₂²	semidirect
62. #2377	C₂²	semidirect
63. #2376	C₂²	semidirect
64. #2376	C₂²	semidirect
65. #2375	C₂²	semidirect
66. #2375	C₂²	semidirect
67. #2374	C₂²	semidirect
68. #2374	C₂²	semidirect
69. #2373	C₂²	semidirect
70. #2373	C₂²	semidirect
71. #2373	C₂²	semidirect
72. #2373	C₂²	semidirect
73. #2373	C₂²	semidirect
74. #2373	C₂²	semidirect
75. #2372	C₂²	semidirect
76. #2372	C₂²	semidirect
77. #2368	C₂²	semidirect
78. #2367	C₂²	semidirect
79. #2367	C₂²	semidirect
80. #2367	C₂²	semidirect
81. #2367	C₂²	semidirect
82. #2364	C₂²	semidirect
83. #2364	C₂²	semidirect
84. #2364	C₂²	semidirect
85. #2363	C₂²	semidirect
86. #2363	C₂²	semidirect
87. #2363	C₂²	semidirect
88. #2362	C₂²	semidirect
89. #2361	C₂²	semidirect
90. #2361	C₂²	semidirect
91. #2361	C₂²	semidirect
92. #2360	C₂²	semidirect
93. #2359	C₂²	semidirect
94. #2359	C₂²	semidirect
95. #2359	C₂²	semidirect
96. #2359	C₂²	semidirect
97. #2358	C₂²	semidirect
98. #2358	C₂²	semidirect
99. #2358	C₂²	semidirect
100. #2358	C₂²	semidirect
101. #2358	C₂²	semidirect
102. #2358	C₂²	semidirect
103. #2357	C₂²	semidirect
104. #2354	C₂²	semidirect
105. #2353	C₂²	semidirect
106. #2353	C₂²	semidirect
107. #2352	C₂²	semidirect
108. #2352	C₂²	semidirect
109. #2349	C₂²	semidirect
110. D₄×C₄⋊C₄	C₂²	semidirect
111. #2345	C₂²	semidirect
112. #2345	C₂²	semidirect
113. #2345	C₂²	semidirect
114. #2345	C₂²	semidirect
115. #2344	C₂²	semidirect
116. #2344	C₂²	semidirect
117. #2344	C₂²	semidirect
118. #2344	C₂²	semidirect
135. #2342	C₂²	semidirect
136. #2342	C₂²	semidirect
137. #2342	C₂²	semidirect
138. #2342	C₂²	semidirect
139. #2342	C₂²	semidirect
140. #2342	C₂²	semidirect
141. #2342	C₂²	semidirect
142. #2342	C₂²	semidirect
143. #2342	C₂²	semidirect
144. #2342	C₂²	semidirect
145. #2342	C₂²	semidirect
146. #2342	C₂²	semidirect
155. #2337	C₂²	semidirect
156. #2337	C₂²	semidirect
157. #2337	C₂²	semidirect
158. #2337	C₂²	semidirect
159. #2335	C₂²	semidirect
160. #2335	C₂²	semidirect
161. #2335	C₂²	semidirect
162. #2335	C₂²	semidirect
163. #2334	C₂²	semidirect
164. #2334	C₂²	semidirect
165. #2334	C₂²	semidirect
166. #2334	C₂²	semidirect
167. #2334	C₂²	semidirect
168. #2334	C₂²	semidirect
169. #2333	C₂²	semidirect
170. #2333	C₂²	semidirect
171. #2333	C₂²	semidirect
172. #2333	C₂²	semidirect
173. #2332	C₂²	semidirect
174. #2332	C₂²	semidirect
175. #2329	C₂²	semidirect
176. #2329	C₂²	semidirect
177. #2326	C₂²	semidirect
178. #2326	C₂²	semidirect
179. #2325	C₂²	semidirect
180. #2325	C₂²	semidirect
181. #2325	C₂²	semidirect
182. #2325	C₂²	semidirect
183. #2324	C₂²	semidirect
184. #2324	C₂²	semidirect
185. #2324	C₂²	semidirect
186. #2324	C₂²	semidirect
187. #2323	C₂²	semidirect
188. #2323	C₂²	semidirect
189. #2322	C₂²	semidirect
190. #2322	C₂²	semidirect
191. #2321	C₂²	semidirect
192. #2321	C₂²	semidirect
193. #2321	C₂²	semidirect
194. #2321	C₂²	semidirect
195. #2321	C₂²	semidirect
196. #2321	C₂²	semidirect
197. #2319	C₂²	semidirect
198. #2318	C₂²	semidirect
199. #2318	C₂²	semidirect
200. #2316	C₂²	semidirect
201. #2316	C₂²	semidirect
203. #2315	C₂²	semidirect
204. #2313	C₂²	semidirect
205. #2313	C₂²	semidirect
208. #2312	C₂²	semidirect
209. #2312	C₂²	semidirect
210. #2310	C₂²	semidirect
211. #2310	C₂²	semidirect
213. #2309	C₂²	semidirect
216. #2308	C₂²	semidirect
217. C₄×#126	C₂²	semidirect
218. C₄×#126	C₂²	semidirect
219. C₄×#124	C₂²	semidirect
220. C₄×#124	C₂²	semidirect
221. C₄×C₂²⋊Q₈	C₂²	semidirect
222. C₄×C₂²⋊Q₈	C₂²	semidirect
223. C₄×#123	C₂²	semidirect
224. C₄×#123	C₂²	semidirect
225. C₄×#121	C₂²	semidirect
226. C₄×#121	C₂²	semidirect
227. C₄×#121	C₂²	semidirect
228. C₄×#121	C₂²	semidirect
229. C₄×#120	C₂²	semidirect
230. C₄×#120	C₂²	semidirect
231. #2293	C₂²	semidirect
232. #2290	C₂²	semidirect
233. #2290	C₂²	semidirect
234. C₂×#388	C₂²	semidirect
235. C₂×#388	C₂²	semidirect
236. C₂×#385	C₂²	semidirect
237. #2285	C₂²	semidirect
238. #2283	C₂²	semidirect
239. #2283	C₂²	semidirect
243. #2280	C₂²	semidirect
244. #2280	C₂²	semidirect
247. C₂×#380	C₂²	semidirect
250. #2275	C₂²	semidirect
251. #2274	C₂²	semidirect
252. #2274	C₂²	semidirect
254. #2273	C₂²	semidirect
255. C₄²×D₄	C₂²	semidirect
256. C₄×#117	C₂²	semidirect
258. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
259. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
270. #538	C₂×C₄	semidirect
271. #538	C₂×C₄	semidirect
272. #538	C₂×C₄	semidirect
273. #538	C₂×C₄	semidirect
274. #538	C₂×C₄	semidirect
275. #538	C₂×C₄	semidirect
276. #538	C₂×C₄	semidirect
277. #538	C₂×C₄	semidirect
278. #538	C₂×C₄	semidirect
279. #538	C₂×C₄	semidirect
280. C₂×#126	C₂×C₄	semidirect
289. C₂×#124	C₂×C₄	semidirect
298. C₂×#123	C₂×C₄	semidirect
307. C₂×C₂²⋊Q₈	C₂×C₄	semidirect
314. C₂×#121	C₂×C₄	semidirect
315. C₂×#121	C₂×C₄	semidirect
330. C₂×#120	C₂×C₄	semidirect
342. C₂×C₄×Q₈	C₂³	semidirect
343. C₂×C₄×Q₈	C₂³	semidirect
344. C₂×C₄×Q₈	C₂³	semidirect
345. C₂×C₄×D₄	C₂×C₄	semidirect
366. C₂×C₄×D₄	C₂³	semidirect
367. C₂×C₄×D₄	C₂³	semidirect
368. C₂×C₄×D₄	C₂³	semidirect
385. C₂×#117	C₂³	semidirect
386. C₂×#117	C₂³	semidirect
393. C₂²×C₄⋊C₄	C₂³	semidirect
395. C₂²×C₂²⋊C₄	C₂×C₄	semidirect
430. C₂²×C₄²	C₂³	semidirect
431. #391	C₂³	semidirect
432. #391	C₂³	semidirect
433. #391	C₂³	semidirect
434. #391	C₂³	semidirect
435. #391	C₂³	semidirect
436. #391	C₂³	semidirect
437. #391	C₂³	semidirect
450. #390	C₂³	semidirect
451. #390	C₂³	semidirect
452. #390	C₂³	semidirect
453. #389	C₂³	semidirect
454. #389	C₂³	semidirect
455. #389	C₂³	semidirect
456. #389	C₂³	semidirect
457. #389	C₂³	semidirect
458. #389	C₂³	semidirect
459. #389	C₂³	semidirect
460. #389	C₂³	semidirect
461. #389	C₂³	semidirect
462. #389	C₂³	semidirect
463. #389	C₂³	semidirect
464. #389	C₂³	semidirect
465. #389	C₂³	semidirect
466. #389	C₂³	semidirect
507. #388	C₂³	semidirect
508. #388	C₂³	semidirect
509. #388	C₂³	semidirect
510. #388	C₂³	semidirect
511. #388	C₂³	semidirect
512. #388	C₂³	semidirect
513. #388	C₂³	semidirect
514. #388	C₂³	semidirect
515. #388	C₂³	semidirect
516. #388	C₂³	semidirect
517. #388	C₂³	semidirect
518. #388	C₂³	semidirect
519. #388	C₂³	semidirect
520. #388	C₂³	semidirect
521. #388	C₂³	semidirect
522. #388	C₂³	semidirect
523. #387	C₂³	semidirect
524. #387	C₂³	semidirect
525. #387	C₂³	semidirect
526. #387	C₂³	semidirect
527. #387	C₂³	semidirect
528. #387	C₂³	semidirect
529. #387	C₂³	semidirect
530. #387	C₂³	semidirect
531. #387	C₂³	semidirect
532. #387	C₂³	semidirect
533. #387	C₂³	semidirect
534. #387	C₂³	semidirect
535. #387	C₂³	semidirect
536. #387	C₂³	semidirect
537. #387	C₂³	semidirect
538. #387	C₂³	semidirect
539. #387	C₂³	semidirect
540. #387	C₂³	semidirect
541. #387	C₂³	semidirect
542. #387	C₂³	semidirect
543. #387	C₂³	semidirect
544. #387	C₂³	semidirect
545. #387	C₂³	semidirect
546. #387	C₂³	semidirect
571. #386	C₂³	semidirect
572. #386	C₂³	semidirect
573. #386	C₂³	semidirect
574. #386	C₂³	semidirect
595. #385	C₂³	semidirect
596. #385	C₂³	semidirect
597. #385	C₂³	semidirect
598. #385	C₂³	semidirect
599. #385	C₂³	semidirect
600. #385	C₂³	semidirect
601. #385	C₂³	semidirect
602. #385	C₂³	semidirect
603. #384	C₂³	semidirect
604. #383	C₂³	semidirect
605. #383	C₂³	semidirect
606. #382	C₂³	semidirect
607. #382	C₂³	semidirect
608. #382	C₂³	semidirect
620. #381	C₂³	semidirect
621. #381	C₂³	semidirect
640. #380	C₂³	semidirect
641. #380	C₂³	semidirect
642. #380	C₂³	semidirect
643. #380	C₂³	semidirect
657. C₄×C₄⋊C₄	C₂³	semidirect
658. C₄×C₄⋊C₄	C₂³	semidirect
659. C₄×C₄⋊C₄	C₂³	semidirect
660. C₄×C₄⋊C₄	C₂³	semidirect
661. C₄×C₄⋊C₄	C₂³	semidirect
662. C₄×C₄⋊C₄	C₂³	semidirect
663. C₄×C₄⋊C₄	C₂³	semidirect
664. C₄×C₄⋊C₄	C₂³	semidirect
665. C₄×C₄⋊C₄	C₂³	semidirect
666. C₄×C₄⋊C₄	C₂³	semidirect
667. C₄×C₄⋊C₄	C₂³	semidirect
668. C₄×C₄⋊C₄	C₂³	semidirect
669. C₄×C₄⋊C₄	C₂³	semidirect
670. C₄×C₄⋊C₄	C₂³	semidirect
671. C₄×C₄⋊C₄	C₂³	semidirect
672. C₄×C₄⋊C₄	C₂³	semidirect
673. C₄×C₄⋊C₄	C₂³	semidirect
674. C₄×C₄⋊C₄	C₂³	semidirect
675. C₄×C₄⋊C₄	C₂³	semidirect
676. C₄×C₄⋊C₄	C₂³	semidirect
715. C₄×C₂²⋊C₄	C₂³	semidirect
716. C₄×C₂²⋊C₄	C₂³	semidirect
717. C₄×C₂²⋊C₄	C₂³	semidirect
718. C₄×C₂²⋊C₄	C₂³	semidirect
719. C₄×C₂²⋊C₄	C₂³	semidirect
720. C₄×C₂²⋊C₄	C₂³	semidirect
721. C₄×C₂²⋊C₄	C₂³	semidirect
722. C₄×C₂²⋊C₄	C₂³	semidirect
723. C₄×C₂²⋊C₄	C₂³	semidirect
724. C₄×C₂²⋊C₄	C₂³	semidirect
725. C₄×C₂²⋊C₄	C₂³	semidirect
726. C₄×C₂²⋊C₄	C₂³	semidirect
727. #376	C₂³	semidirect
728. #376	C₂³	semidirect
729. #376	C₂³	semidirect
734. C₂×#95	C₂³	semidirect
735. C₂×#95	C₂³	semidirect
736. C₄³	C₂³	semidirect
750. C₂²×Q₈	C₂²×C₄	semidirect
763. C₂²×D₄	C₂²×C₄	semidirect
788. C₂³×C₄	C₂²×C₄	semidirect
822. #126	C₂²×C₄	semidirect
823. #126	C₂²×C₄	semidirect
824. #126	C₂²×C₄	semidirect
825. #126	C₂²×C₄	semidirect
830. #124	C₂²×C₄	semidirect
831. #124	C₂²×C₄	semidirect
832. #124	C₂²×C₄	semidirect
833. #124	C₂²×C₄	semidirect
838. #123	C₂²×C₄	semidirect
839. #123	C₂²×C₄	semidirect
840. #123	C₂²×C₄	semidirect
841. #123	C₂²×C₄	semidirect
845. C₂²⋊Q₈	C₂²×C₄	semidirect
846. C₂²⋊Q₈	C₂²×C₄	semidirect
847. C₂²⋊Q₈	C₂²×C₄	semidirect
855. #121	C₂²×C₄	semidirect
856. #121	C₂²×C₄	semidirect
857. #121	C₂²×C₄	semidirect
858. #121	C₂²×C₄	semidirect
859. #121	C₂²×C₄	semidirect
860. #121	C₂²×C₄	semidirect
861. #121	C₂²×C₄	semidirect
892. C₄×D₄	C₂²×C₄	semidirect
893. C₄×D₄	C₂²×C₄	semidirect
894. C₄×D₄	C₂²×C₄	semidirect
895. C₄×D₄	C₂²×C₄	semidirect
916. C₂×C₄⋊C₄	C₂²×C₄	semidirect
917. C₂×C₄⋊C₄	C₂²×C₄	semidirect
918. C₂×C₄⋊C₄	C₂²×C₄	semidirect
919. C₂×C₄⋊C₄	C₂²×C₄	semidirect
987. C₂×C₂²⋊C₄	C₂²×C₄	semidirect
988. C₂×C₂²⋊C₄	C₂²×C₄	semidirect
1062. C₂×C₄²	C₂²×C₄	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#538	2
#34454	2
#34451	2
#34446	2
#34441	2
#34426	2
#34424	2
#34416	2
#34381	2
#34376	2
#34366	2
#34363	2
#34359	2
#34358	2
#34356	2
#34283	2
#34277	2
#34247	2
#34238	2
#34211	2
#34205	2
#34204	2
#34203	2
#34198	2
#34194	2
#34176	2
#34126	2
C₂×#2342	2
C₄×#538	2