Subgroups — C₂×#62922 #10586264

Order 512.

34418 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	#62922	C₂	1	64	yes	maximal, direct product factor
2	C₂×#3499	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#3489	C₂	1	2	yes	maximal, complemented
4	C₂×#3511	C₂	1	3	yes	maximal, complemented
5	C₂×#3517	C₂	1	3	yes	maximal, complemented
6	C₂×#3517	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#3487	C₂	1	2	yes	maximal, complemented
8	C₂×#3523	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#3516	C₂	1	2	yes	maximal, complemented
10	C₂×#3497	C₂	1	2	yes	maximal, complemented
11	C₂×#3497	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#3520	C₂	1	3	yes	maximal, complemented
13	C₂×#3548	C₂	1	3	yes	maximal, complemented
14	C₂×#3546	C₂	1	3	yes	maximal, complemented
15	C₂×#3546	C₂	1	3	yes	maximal, complemented
16	C₂×#3552	C₂	1	3	yes	maximal, complemented
17	C₂×#3562	C₂	1	6	yes	maximal, complemented
18	C₂×#3551	C₂	1	6	yes	maximal, complemented
19	C₂×#3539	C₂	1	6	yes	maximal, complemented
20	C₂×#3541	C₂	1	6	yes	maximal, complemented
21	C₂×#3482	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#3480	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×D₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#3460	C₂	1	3	yes	maximal, complemented
25	C₂²×2₋¹⁺⁴	C₂²	1	2	yes	complemented
26	C₂²×2₋¹⁺⁴	C₂²	1	2	yes	complemented
27	C₂³×#41	C₂²	1	2	yes	—
28	#3562	C₂²	1	192	yes	complemented
29	#3552	C₂²	1	96	yes	complemented
30	#3551	C₂²	1	192	yes	complemented
31	#3548	C₂²	1	96	yes	complemented
32	#3546	C₂²	1	96	yes	complemented
33	#3546	C₂²	1	96	yes	complemented
34	#3541	C₂²	1	192	yes	complemented
35	#3539	C₂²	1	192	yes	complemented
36	C₂×#563	C₂²	1	12	yes	complemented
37	C₂×#562	C₂²	1	12	yes	complemented
38	C₂×#560	C₂²	1	12	yes	complemented
39	C₂×#560	C₂²	1	12	yes	complemented
40	#3523	C₂²	1	32	yes	complemented
41	#3520	C₂²	1	96	yes	complemented
42	#3517	C₂²	1	96	yes	complemented
43	#3517	C₂²	1	32	yes	complemented
44	#3516	C₂²	1	64	yes	complemented
45	#3511	C₂²	1	96	yes	complemented
46	#3499	C₂²	1	32	yes	complemented
47	#3497	C₂²	1	64	yes	complemented
48	#3497	C₂²	1	32	yes	complemented
49	#3489	C₂²	1	64	yes	complemented
50	#3487	C₂²	1	64	yes	complemented
51	#3482	C₂²	1	32	yes	complemented
52	#3480	C₂²	1	32	yes	complemented
53	C₂×#559	C₂²	1	3	yes	complemented
54	C₂×#557	C₂²	1	3	yes	complemented
55	C₂×#557	C₂²	1	1	yes	characteristic, complemented
56	C₂×#557	C₂²	1	1	yes	characteristic, complemented
57	C₂×#556	C₂²	1	3	yes	—
58	C₂×#556	C₂²	1	3	yes	complemented
59	C₂×#556	C₂²	1	6	yes	complemented
60	C₂×#556	C₂²	1	3	yes	complemented
61	C₂×#555	C₂²	1	6	yes	complemented
62	C₂×#554	C₂²	1	6	yes	complemented
63	C₂×#554	C₂²	1	6	yes	complemented
64	C₂×#554	C₂²	1	6	yes	complemented
65	C₂×#553	C₂²	1	12	yes	complemented
66	C₂×#553	C₂²	1	6	yes	complemented
67	C₂×#553	C₂²	1	6	yes	complemented
68	C₂×#553	C₂²	1	3	yes	complemented
69	C₂×#553	C₂²	1	6	yes	complemented
70	C₂×#553	C₂²	1	3	yes	complemented
71	C₂×#553	C₂²	1	6	yes	complemented
72	C₂×#553	C₂²	1	6	yes	complemented
73	C₂×#552	C₂²	1	6	yes	complemented
74	C₂×#552	C₂²	1	6	yes	complemented
75	C₂×#552	C₂²	1	6	yes	complemented
76	C₂×#551	C₂²	1	12	yes	complemented
77	D₄×#41	C₂²	1	32	yes	complemented
78	C₂×#550	C₂²	1	1	yes	characteristic
79	C₂×#550	C₂²	1	1	yes	characteristic
80	C₂×#550	C₂²	1	6	yes	complemented
81	C₂×#550	C₂²	1	6	yes	complemented
82	C₂×#550	C₂²	1	6	yes	complemented
83	C₂×#550	C₂²	1	6	yes	complemented
84	C₂×#550	C₂²	1	3	yes	complemented
85	C₂×#550	C₂²	1	3	yes	complemented
86	C₂×#550	C₂²	1	2	yes	complemented
87	C₂×D₄×Q₈	C₂²	1	1	yes	characteristic
88	C₂×D₄×Q₈	C₂²	1	6	yes	complemented
89	C₂×D₄×Q₈	C₂²	1	3	yes	complemented
90	C₂×D₄×Q₈	C₂²	1	2	yes	complemented
91	C₂×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
92	C₂×D₄×Q₈	C₂²	1	2	yes	complemented
93	C₂×#548	C₂²	1	2	yes	—
94	C₂×#548	C₂²	1	2	yes	—
95	C₂×#548	C₂²	1	1	yes	characteristic
96	C₂×#548	C₂²	1	6	yes	complemented
97	C₂×#548	C₂²	1	6	yes	complemented
98	C₂×#548	C₂²	1	6	yes	complemented
99	C₂×#548	C₂²	1	6	yes	complemented
100	C₂×#548	C₂²	1	6	yes	complemented
101	C₂×#548	C₂²	1	1	yes	characteristic, complemented
102	C₂×#548	C₂²	1	2	yes	complemented
103	C₂×#547	C₂²	1	3	yes	—
104	C₂×#547	C₂²	1	3	yes	—
105	C₂×#547	C₂²	1	6	yes	complemented
106	C₂×#547	C₂²	1	6	yes	complemented
107	C₂×#547	C₂²	1	6	yes	complemented
108	C₂×#547	C₂²	1	3	yes	complemented
109	C₂×#547	C₂²	1	3	yes	complemented
110	C₂×#547	C₂²	1	3	yes	complemented
111	C₂×#546	C₂²	1	6	yes	—
112	C₂×#546	C₂²	1	6	yes	—
113	C₂×#546	C₂²	1	6	yes	complemented
114	C₂×#546	C₂²	1	6	yes	complemented
115	C₂×D₄²	C₂²	1	3	yes	—
116	#3460	C₂²	1	96	yes	complemented
117	C₂×#544	C₂²	1	3	yes	complemented
118	C₂×#542	C₂²	1	3	yes	—
119	C₂×#542	C₂²	1	6	yes	complemented
120	C₂×#542	C₂²	1	6	yes	complemented
121	C₂×#542	C₂²	1	6	yes	complemented
122	C₂×#542	C₂²	1	3	yes	complemented
123	C₂×#541	C₂²	1	6	yes	complemented
124	C₂×#541	C₂²	1	6	yes	complemented
125	C₂×#540	C₂²	1	1	yes	characteristic
126	C₂×#540	C₂²	1	6	yes	complemented
127	C₂×#540	C₂²	1	12	yes	complemented
128	C₂×#540	C₂²	1	6	yes	complemented
129	C₂×#540	C₂²	1	12	yes	complemented
130	C₂×#540	C₂²	1	3	yes	complemented
131	C₂×#539	C₂²	1	12	yes	complemented
132	C₂×#539	C₂²	1	12	yes	complemented
133	C₂×#538	C₂²	1	12	yes	complemented
134	C₂×#538	C₂²	1	12	yes	complemented
135	C₂×#538	C₂²	1	6	yes	complemented
136	C₂×#538	C₂²	1	6	yes	complemented
137	C₂×#537	C₂²	1	6	yes	complemented
138	C₂×#537	C₂²	1	6	yes	complemented
139	C₂×#537	C₂²	1	6	yes	complemented
140	C₂×#537	C₂²	1	6	yes	complemented
141	C₂×#537	C₂²	1	6	yes	complemented
142	C₂×#537	C₂²	1	3	yes	complemented
143	C₂×#536	C₂²	1	6	yes	complemented
144	C₂×#536	C₂²	1	6	yes	complemented
145	C₂×#535	C₂²	1	3	yes	—
146	C₂×#535	C₂²	1	3	yes	—
147	C₂×#535	C₂²	1	6	yes	complemented
148	C₂×#535	C₂²	1	6	yes	complemented
149	C₂×#533	C₂²	1	3	yes	complemented
150	C₂×#533	C₂²	1	3	yes	complemented
151	C₂×#532	C₂²	1	3	yes	—
152	C₂×#532	C₂²	1	3	yes	—
153	C₂×#532	C₂²	1	6	yes	complemented
154	C₂×#532	C₂²	1	6	yes	complemented
155	C₂×#532	C₂²	1	3	yes	complemented
156	C₂×#532	C₂²	1	3	yes	complemented
157	C₂×#532	C₂²	1	3	yes	complemented
158	C₂×#532	C₂²	1	3	yes	complemented
159	C₂²×C₄⋊Q₈	C₂²	1	3	yes	complemented
160	C₂×#529	C₂²	1	3	yes	—
161	C₂×#529	C₂²	1	6	yes	complemented
162	C₂×#529	C₂²	1	6	yes	complemented
163	C₂×#529	C₂²	1	6	yes	complemented
164	C₂×#529	C₂²	1	3	yes	complemented
165	C₂×#529	C₂²	1	3	yes	complemented
166	C₂×#529	C₂²	1	3	yes	complemented
167	C₂×#525	C₂²	1	6	yes	—
168	C₂×#525	C₂²	1	6	yes	complemented
169	C₂×#525	C₂²	1	6	yes	complemented
170	C₂×#525	C₂²	1	6	yes	complemented
171	C₂²×C₂²⋊Q₈	C₂²	1	6	yes	complemented
172	C₂×#520	C₂²	1	6	yes	complemented
173	C₂×#520	C₂²	1	2	yes	complemented
174	C₂×#519	C₂²	1	2	yes	complemented
175	C₂×C₄×#41	C₂²	1	1	yes	characteristic
176	C₂×C₄×#41	C₂²	1	1	yes	characteristic, complemented
177	C₂×C₄×#41	C₂²	1	3	yes	complemented
178	C₂×C₄×#41	C₂²	1	3	yes	complemented
179	C₂²×C₄×Q₈	C₂²	1	2	yes	complemented
180	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
181	C₂²×C₄×D₄	C₂²	1	3	yes	—
182	C₂×2₋¹⁺⁴	—	4	16	no	—
183	C₂×2₋¹⁺⁴	—	4	16	no	—
184	C₂×2₋¹⁺⁴	C₂³	1	32	yes	complemented
185	C₂×2₋¹⁺⁴	C₂³	1	32	yes	complemented
186	C₂²×#41	—	4	16	no	—
187	C₂²×#41	C₂³	1	1	yes	characteristic
188	C₂²×#41	C₂³	1	2	yes	—
189	C₂²×#41	C₂³	1	1	yes	characteristic
190	C₂²×#41	C₂³	1	6	yes	—
191	C₂²×#41	C₂³	1	6	yes	—
192	C₂²×#41	C₂³	1	32	yes	—
193	C₂²×#41	C₂³	1	6	yes	—
194	C₂²×#41	C₂³	1	6	yes	—
195	C₂²×#41	C₂³	1	6	yes	—
196	C₂²×#41	C₂³	1	6	yes	—
197	C₂²×#41	C₂³	1	6	yes	—
198	C₂²×#41	C₂³	1	6	yes	—
199	C₂²×#41	C₂³	1	3	yes	—
200	C₂²×#41	C₂³	1	3	yes	—
201	C₂²×#41	C₂³	1	6	yes	—
202	C₂³×Q₈	C₂³	1	2	yes	—
203	C₂³×Q₈	C₂³	1	1	yes	characteristic
204	C₂³×Q₈	C₂³	1	2	yes	—
205	C₂³×Q₈	C₂³	1	6	yes	—
206	C₂³×Q₈	C₂³	1	6	yes	—
207	C₂³×D₄	C₂³	1	6	yes	—
208	C₂³×D₄	C₂³	1	3	yes	—
209	C₂⁴×C₄	C₂³	1	6	yes	—
210	#563	C₂³	1	192	yes	complemented
211	#562	C₂³	1	192	yes	complemented
212	#560	C₂³	1	192	yes	complemented
213	#560	C₂³	1	192	yes	complemented
214	#559	C₂³	1	48	yes	complemented
215	#557	C₂³	1	16	yes	complemented
216	#557	C₂³	1	16	yes	complemented
217	#557	C₂³	1	48	yes	complemented
218	#556	C₂³	1	48	yes	—
219	#556	C₂³	1	48	yes	complemented
220	#556	C₂³	1	48	yes	complemented
221	#556	C₂³	1	96	yes	complemented
222	#555	C₂³	1	96	yes	complemented
223	#554	C₂³	1	96	yes	complemented
224	#554	C₂³	1	96	yes	complemented
225	#554	C₂³	1	96	yes	complemented
226	#553	C₂³	1	48	yes	complemented
227	#553	C₂³	1	48	yes	complemented
228	#553	C₂³	1	96	yes	complemented
229	#553	C₂³	1	96	yes	complemented
230	#553	C₂³	1	96	yes	complemented
231	#553	C₂³	1	192	yes	complemented
232	#553	C₂³	1	96	yes	complemented
233	#553	C₂³	1	96	yes	complemented
234	#552	C₂³	1	96	yes	complemented
235	#552	C₂³	1	96	yes	complemented
236	#552	C₂³	1	96	yes	complemented
237	#551	C₂³	1	192	yes	complemented
238	#550	C₂³	1	16	yes	—
239	#550	C₂³	1	16	yes	—
240	#550	C₂³	1	32	yes	complemented
241	#550	C₂³	1	96	yes	complemented
242	#550	C₂³	1	96	yes	complemented
243	#550	C₂³	1	48	yes	complemented
244	#550	C₂³	1	96	yes	complemented
245	#550	C₂³	1	48	yes	complemented
246	#550	C₂³	1	96	yes	complemented
247	D₄×Q₈	C₂³	1	16	yes	—
248	D₄×Q₈	C₂³	1	16	yes	complemented
249	D₄×Q₈	C₂³	1	32	yes	complemented
250	D₄×Q₈	C₂³	1	32	yes	complemented
251	D₄×Q₈	C₂³	1	48	yes	complemented
252	D₄×Q₈	C₂³	1	96	yes	complemented
253	#548	C₂³	1	32	yes	—
254	#548	C₂³	1	16	yes	—
255	#548	C₂³	1	32	yes	—
256	#548	C₂³	1	16	yes	complemented
257	#548	C₂³	1	32	yes	complemented
258	#548	C₂³	1	96	yes	complemented
259	#548	C₂³	1	96	yes	complemented
260	#548	C₂³	1	96	yes	complemented
261	#548	C₂³	1	96	yes	complemented
262	#548	C₂³	1	96	yes	complemented
263	#547	C₂³	1	48	yes	—
264	#547	C₂³	1	48	yes	—
265	#547	C₂³	1	48	yes	complemented
266	#547	C₂³	1	96	yes	complemented
267	#547	C₂³	1	96	yes	complemented
268	#547	C₂³	1	48	yes	complemented
269	#547	C₂³	1	96	yes	complemented
270	#547	C₂³	1	48	yes	complemented
271	#546	C₂³	1	96	yes	—
272	#546	C₂³	1	96	yes	—
273	#546	C₂³	1	96	yes	complemented
274	#546	C₂³	1	96	yes	complemented
275	D₄²	C₂³	1	48	yes	—
276	#544	C₂³	1	48	yes	complemented
277	#542	C₂³	1	48	yes	—
278	#542	C₂³	1	48	yes	complemented
279	#542	C₂³	1	96	yes	complemented
280	#542	C₂³	1	96	yes	complemented
281	#542	C₂³	1	96	yes	complemented
282	#541	C₂³	1	96	yes	complemented
283	#541	C₂³	1	96	yes	complemented
284	#540	C₂³	1	16	yes	—
285	#540	C₂³	1	48	yes	complemented
286	#540	C₂³	1	96	yes	complemented
287	#540	C₂³	1	96	yes	complemented
288	#540	C₂³	1	192	yes	complemented
289	#540	C₂³	1	192	yes	complemented
290	#539	C₂³	1	192	yes	complemented
291	#539	C₂³	1	192	yes	complemented
292	#538	C₂³	1	96	yes	complemented
293	#538	C₂³	1	96	yes	complemented
294	#538	C₂³	1	192	yes	complemented
295	#538	C₂³	1	192	yes	complemented
296	#537	C₂³	1	48	yes	complemented
297	#537	C₂³	1	96	yes	complemented
298	#537	C₂³	1	96	yes	complemented
299	#537	C₂³	1	96	yes	complemented
300	#537	C₂³	1	96	yes	complemented
301	#537	C₂³	1	96	yes	complemented
302	#536	C₂³	1	96	yes	complemented
303	#536	C₂³	1	96	yes	complemented
304	#535	C₂³	1	48	yes	—
305	#535	C₂³	1	48	yes	—
306	#535	C₂³	1	96	yes	complemented
307	#535	C₂³	1	96	yes	complemented
308	#533	C₂³	1	48	yes	complemented
309	#533	C₂³	1	48	yes	complemented
310	#532	C₂³	1	48	yes	—
311	#532	C₂³	1	48	yes	—
312	#532	C₂³	1	48	yes	complemented
313	#532	C₂³	1	96	yes	complemented
314	#532	C₂³	1	48	yes	complemented
315	#532	C₂³	1	48	yes	complemented
316	#532	C₂³	1	96	yes	complemented
317	#532	C₂³	1	48	yes	complemented
318	C₂×C₄⋊Q₈	C₂³	1	3	yes	—
319	C₂×C₄⋊Q₈	C₂³	1	3	yes	—
320	C₂×C₄⋊Q₈	C₂³	1	3	yes	—
321	C₂×C₄⋊Q₈	C₂³	1	6	yes	—
322	C₂×C₄⋊Q₈	C₂³	1	6	yes	—
323	C₂×C₄⋊Q₈	C₂³	1	3	yes	—
324	C₂×C₄⋊Q₈	C₂³	1	6	yes	—
325	C₂×C₄⋊Q₈	C₂³	1	3	yes	—
326	C₂×C₄⋊Q₈	C₂³	1	3	yes	—
327	C₂×C₄⋊Q₈	C₂³	1	6	yes	—
328	C₂×C₄⋊Q₈	C₂³	1	48	yes	complemented
329	C₂×#127	C₂³	1	1	yes	characteristic
330	C₂×#127	C₂³	1	3	yes	—
331	C₂×#127	C₂³	1	3	yes	—
332	C₂×#127	C₂³	1	6	yes	—
333	C₂×#127	C₂³	1	3	yes	—
334	C₂×#127	C₂³	1	6	yes	—
335	C₂×#127	C₂³	1	12	yes	—
336	#529	C₂³	1	48	yes	—
337	#529	C₂³	1	96	yes	complemented
338	#529	C₂³	1	48	yes	complemented
339	#529	C₂³	1	48	yes	complemented
340	#529	C₂³	1	48	yes	complemented
341	#529	C₂³	1	96	yes	complemented
342	#529	C₂³	1	96	yes	complemented
343	C₂×#126	C₂³	1	6	yes	—
344	C₂×#126	C₂³	1	6	yes	—
345	C₂×#126	C₂³	1	12	yes	—
346	C₂×#126	C₂³	1	6	yes	—
347	C₂×#126	C₂³	1	6	yes	—
348	C₂×#126	C₂³	1	6	yes	—
349	C₂×#126	C₂³	1	6	yes	—
350	C₂×#126	C₂³	1	12	yes	—
351	C₂×#126	C₂³	1	12	yes	—
352	C₂×#126	C₂³	1	12	yes	—
353	C₂×#125	C₂³	1	3	yes	—
354	C₂×#125	C₂³	1	1	yes	characteristic
355	C₂×#125	C₂³	1	3	yes	—
356	C₂×#125	C₂³	1	6	yes	—
357	C₂×#125	C₂³	1	6	yes	—
358	C₂×#125	C₂³	1	3	yes	—
359	C₂×#125	C₂³	1	6	yes	—
360	C₂×#125	C₂³	1	6	yes	—
361	C₂×#125	C₂³	1	12	yes	—
362	C₂×#125	C₂³	1	12	yes	—
363	C₂×#124	C₂³	1	3	yes	—
364	C₂×#124	C₂³	1	6	yes	—
365	C₂×#124	C₂³	1	3	yes	—
366	C₂×#124	C₂³	1	3	yes	—
367	C₂×#124	C₂³	1	6	yes	—
368	C₂×#124	C₂³	1	6	yes	—
369	C₂×#124	C₂³	1	3	yes	—
370	C₂×#124	C₂³	1	6	yes	—
371	C₂×#124	C₂³	1	6	yes	—
372	C₂×#124	C₂³	1	6	yes	—
373	C₂×#124	C₂³	1	6	yes	—
374	C₂×#124	C₂³	1	6	yes	—
375	C₂×#124	C₂³	1	6	yes	—
376	C₂×#124	C₂³	1	12	yes	—
377	#525	C₂³	1	96	yes	—
378	#525	C₂³	1	96	yes	complemented
379	#525	C₂³	1	96	yes	complemented
380	#525	C₂³	1	96	yes	complemented
381	C₂×#123	C₂³	1	12	yes	—
382	C₂×#123	C₂³	1	6	yes	—
383	C₂×#123	C₂³	1	2	yes	—
384	C₂×#123	C₂³	1	6	yes	—
385	C₂×#123	C₂³	1	6	yes	—
386	C₂×#123	C₂³	1	6	yes	—
387	C₂×#123	C₂³	1	2	yes	—
388	C₂×#123	C₂³	1	6	yes	—
389	C₂×#123	C₂³	1	6	yes	—
390	C₂×#123	C₂³	1	12	yes	—
391	C₂×#123	C₂³	1	6	yes	—
392	C₂×#123	C₂³	1	6	yes	—
393	C₂×#123	C₂³	1	12	yes	—
394	C₂×#123	C₂³	1	12	yes	—
395	C₂×#123	C₂³	1	12	yes	—
396	C₂×#123	C₂³	1	12	yes	—
397	C₂×#123	C₂³	1	12	yes	—
398	C₂×#123	C₂³	1	12	yes	—
399	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
400	C₂×C₂²⋊Q₈	C₂³	1	3	yes	—
401	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
402	C₂×C₂²⋊Q₈	C₂³	1	12	yes	—
403	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
404	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
405	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
406	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
407	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
408	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
409	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
410	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
411	C₂×C₂²⋊Q₈	C₂³	1	3	yes	—
412	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
413	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
414	C₂×C₂²⋊Q₈	C₂³	1	3	yes	—
415	C₂×C₂²⋊Q₈	C₂³	1	3	yes	—
416	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
417	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
418	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
419	C₂×C₂²⋊Q₈	C₂³	1	12	yes	—
420	C₂×C₂²⋊Q₈	C₂³	1	12	yes	—
421	C₂×C₂²⋊Q₈	C₂³	1	12	yes	—
422	C₂×C₂²⋊Q₈	C₂³	1	12	yes	—
423	C₂×C₂²⋊Q₈	C₂³	1	96	yes	complemented
424	C₂×#121	C₂³	1	6	yes	—
425	C₂×#121	C₂³	1	6	yes	—
426	C₂×#121	C₂³	1	2	yes	—
427	C₂×#121	C₂³	1	3	yes	—
428	C₂×#121	C₂³	1	6	yes	—
429	C₂×#121	C₂³	1	6	yes	—
430	C₂×#121	C₂³	1	6	yes	—
431	C₂×#121	C₂³	1	6	yes	—
432	C₂×#121	C₂³	1	1	yes	characteristic
433	C₂×#121	C₂³	1	3	yes	—
434	C₂×#121	C₂³	1	6	yes	—
435	C₂×#121	C₂³	1	3	yes	—
436	C₂×#121	C₂³	1	6	yes	—
437	C₂×#121	C₂³	1	6	yes	—
438	C₂×#121	C₂³	1	3	yes	—
439	C₂×#121	C₂³	1	3	yes	—
440	C₂×#121	C₂³	1	6	yes	—
441	C₂×#121	C₂³	1	6	yes	—
442	C₂×#121	C₂³	1	6	yes	—
443	C₂×#121	C₂³	1	3	yes	—
444	C₂×#121	C₂³	1	1	yes	characteristic
445	C₂×#121	C₂³	1	2	yes	—
446	C₂×#121	C₂³	1	6	yes	—
447	C₂×#121	C₂³	1	6	yes	—
448	C₂×#121	C₂³	1	6	yes	—
449	C₂×#121	C₂³	1	6	yes	—
450	C₂×#121	C₂³	1	6	yes	—
451	C₂×#121	C₂³	1	3	yes	—
452	C₂×#121	C₂³	1	3	yes	—
453	C₂×#121	C₂³	1	12	yes	—
454	C₂×#121	C₂³	1	6	yes	—
455	C₂×#121	C₂³	1	6	yes	—
456	C₂×#121	C₂³	1	6	yes	—
457	C₂×#121	C₂³	1	12	yes	—
458	C₂×#121	C₂³	1	12	yes	—
459	C₂×#121	C₂³	1	12	yes	—
460	C₂×#121	C₂³	1	12	yes	—
461	C₂×#121	C₂³	1	12	yes	—
462	C₂×#121	C₂³	1	12	yes	—
463	C₂×#121	C₂³	1	12	yes	—
464	C₂×#121	C₂³	1	12	yes	—
465	C₂×#120	C₂³	1	12	yes	—
466	C₂×#120	C₂³	1	6	yes	—
467	C₂×#120	C₂³	1	6	yes	—
468	C₂×#120	C₂³	1	6	yes	—
469	C₂×#120	C₂³	1	6	yes	—
470	C₂×#120	C₂³	1	12	yes	—
471	#520	C₂³	1	32	yes	complemented
472	#520	C₂³	1	96	yes	complemented
473	#519	C₂³	1	32	yes	complemented
474	C₄×#41	C₂³	1	16	yes	—
475	C₄×#41	C₂³	1	48	yes	complemented
476	C₄×#41	C₂³	1	48	yes	complemented
477	C₄×#41	C₂³	1	16	yes	complemented
478	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
479	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
480	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
481	C₂×C₄×Q₈	C₂³	1	2	yes	—
482	C₂×C₄×Q₈	C₂³	1	3	yes	—
483	C₂×C₄×Q₈	C₂³	1	6	yes	—
484	C₂×C₄×Q₈	C₂³	1	3	yes	—
485	C₂×C₄×Q₈	C₂³	1	6	yes	—
486	C₂×C₄×Q₈	C₂³	1	3	yes	—
487	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
488	C₂×C₄×Q₈	C₂³	1	3	yes	—
489	C₂×C₄×Q₈	C₂³	1	3	yes	—
490	C₂×C₄×Q₈	C₂³	1	3	yes	—
491	C₂×C₄×Q₈	C₂³	1	6	yes	—
492	C₂×C₄×Q₈	C₂³	1	6	yes	—
493	C₂×C₄×Q₈	C₂³	1	6	yes	—
494	C₂×C₄×Q₈	C₂³	1	16	yes	complemented
495	C₂×C₄×Q₈	C₂³	1	32	yes	complemented
496	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
497	C₂×C₄×D₄	C₂³	1	3	yes	—
498	C₂×C₄×D₄	C₂³	1	6	yes	—
499	C₂×C₄×D₄	C₂³	1	3	yes	—
500	C₂×C₄×D₄	C₂³	1	6	yes	—
501	C₂×C₄×D₄	C₂³	1	3	yes	—
502	C₂×C₄×D₄	C₂³	1	48	yes	—
503	C₂×C₄×D₄	C₂³	1	3	yes	—
504	C₂×C₄×D₄	C₂³	1	3	yes	—
505	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
506	C₂×C₄×D₄	C₂³	1	3	yes	—
507	C₂×C₄×D₄	C₂³	1	6	yes	—
508	C₂×C₄×D₄	C₂³	1	3	yes	—
509	C₂×C₄×D₄	C₂³	1	6	yes	—
510	C₂×C₄×D₄	C₂³	1	3	yes	—
511	C₂×C₄×D₄	C₂³	1	3	yes	—
512	C₂×C₄×D₄	C₂³	1	3	yes	—
513	C₂×C₄×D₄	C₂³	1	3	yes	—
514	C₂×C₄×D₄	C₂³	1	3	yes	—
515	C₂×C₄×D₄	C₂³	1	3	yes	—
516	C₂×C₄×D₄	C₂³	1	3	yes	—
517	C₂×C₄×D₄	C₂³	1	12	yes	—
518	C₂×C₄×D₄	C₂³	1	6	yes	—
519	C₂×C₄×D₄	C₂³	1	6	yes	—
520	C₂×C₄×D₄	C₂³	1	12	yes	—
521	C₂×C₄×D₄	C₂³	1	6	yes	—
522	C₂×C₄×D₄	C₂³	1	6	yes	—
523	C₂×C₄×D₄	C₂³	1	6	yes	—
524	C₂×C₄×D₄	C₂³	1	6	yes	—
525	C₂×C₄×D₄	C₂³	1	6	yes	—
526	C₂×C₄×D₄	C₂³	1	6	yes	—
527	C₂×C₄×D₄	C₂³	1	12	yes	—
528	C₂×C₄×D₄	C₂³	1	6	yes	—
529	C₂×C₄×D₄	C₂³	1	12	yes	—
530	C₂×C₄×D₄	C₂³	1	6	yes	—
531	C₂×C₄×D₄	C₂³	1	6	yes	—
532	C₂×C₄×D₄	C₂³	1	12	yes	—
533	C₂×#117	C₂³	1	3	yes	—
534	C₂×#117	C₂³	1	1	yes	characteristic
535	C₂×#117	C₂³	1	3	yes	—
536	C₂×#117	C₂³	1	3	yes	—
537	C₂×#117	C₂³	1	3	yes	—
538	C₂×#117	C₂³	1	3	yes	—
539	C₂×#117	C₂³	1	6	yes	—
540	C₂×#117	C₂³	1	6	yes	—
541	C₂×#117	C₂³	1	6	yes	—
542	C₂×#117	C₂³	1	6	yes	—
543	C₂×#117	C₂³	1	12	yes	—
544	C₂×#117	C₂³	1	6	yes	—
545	C₂×#117	C₂³	1	6	yes	—
546	C₂²×C₄⋊C₄	C₂³	1	3	yes	—
547	C₂²×C₄⋊C₄	C₂³	1	6	yes	—
548	C₂²×C₄⋊C₄	C₂³	1	3	yes	—
549	C₂²×C₄⋊C₄	C₂³	1	6	yes	—
550	C₂²×C₄⋊C₄	C₂³	1	12	yes	—
551	C₂²×C₄⋊C₄	C₂³	1	6	yes	—
552	C₂²×C₄⋊C₄	C₂³	1	6	yes	—
553	C₂²×C₂²⋊C₄	C₂³	1	6	yes	—
554	C₂²×C₂²⋊C₄	C₂³	1	12	yes	—
555	C₂²×C₄²	C₂³	1	3	yes	—
556	C₂²×C₄²	C₂³	1	3	yes	—
557	C₂²×C₄²	C₂³	1	6	yes	—
558	C₂²×C₄²	C₂³	1	3	yes	—
559	C₂⁵	C₂⁴	1	6	yes	—
560	2₋¹⁺⁴	—	4	128	no	—
561	2₋¹⁺⁴	—	4	128	no	—
562	C₂×#41	—	2	8	no	—
563	C₂×#41	—	2	16	no	—
564	C₂×#41	—	2	8	no	—
565	C₂×#41	—	4	12	no	—
566	C₂×#41	—	4	24	no	—
567	C₂×#41	—	4	24	no	—
568	C₂×#41	—	4	24	no	—
569	C₂×#41	—	4	24	no	—
570	C₂×#41	—	4	12	no	—
571	C₂×#41	—	4	24	no	—
572	C₂×#41	—	4	24	no	—
573	C₂×#41	—	4	24	no	—
574	C₂×#41	—	4	24	no	—
575	C₂×#41	—	4	24	no	—
576	C₂×#41	—	4	128	no	—
577	C₂×#41	C₂⁴	1	8	yes	—
578	C₂×#41	C₂⁴	1	8	yes	—
579	C₂×#41	C₂⁴	1	16	yes	—
580	C₂×#41	C₂⁴	1	24	yes	—
581	C₂×#41	C₂⁴	1	24	yes	—
582	C₂×#41	C₂⁴	1	48	yes	—
583	C₂×#41	C₂⁴	1	48	yes	—
584	C₂×#41	C₂⁴	1	48	yes	—
585	C₂×#41	C₂⁴	1	48	yes	—
586	C₂×#41	C₂⁴	1	48	yes	—
587	C₂×#41	C₂⁴	1	48	yes	—
588	C₂×#41	C₂⁴	1	48	yes	—
589	C₂×#41	C₂⁴	1	48	yes	—
590	C₂×#41	C₂⁴	1	48	yes	—
591	C₂²×Q₈	—	2	16	no	—
592	C₂²×Q₈	—	2	8	no	—
593	C₂²×Q₈	—	2	16	no	—
594	C₂²×Q₈	—	4	24	no	—
595	C₂²×Q₈	—	4	24	no	—
596	C₂²×Q₈	C₂⁴	1	3	yes	—
597	C₂²×Q₈	C₂⁴	1	3	yes	—
598	C₂²×Q₈	C₂⁴	1	6	yes	—
599	C₂²×Q₈	C₂⁴	1	6	yes	—
600	C₂²×Q₈	C₂⁴	1	8	yes	—
601	C₂²×Q₈	C₂⁴	1	16	yes	—
602	C₂²×Q₈	C₂⁴	1	16	yes	—
603	C₂²×Q₈	C₂⁴	1	3	yes	—
604	C₂²×Q₈	C₂⁴	1	6	yes	—
605	C₂²×Q₈	C₂⁴	1	6	yes	—
606	C₂²×Q₈	C₂⁴	1	48	yes	—
607	C₂²×Q₈	C₂⁴	1	48	yes	—
608	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
609	C₂²×D₄	—	4	12	no	—
610	C₂²×D₄	—	4	24	no	—
611	C₂²×D₄	C₂⁴	1	1	yes	characteristic
612	C₂²×D₄	C₂⁴	1	3	yes	—
613	C₂²×D₄	C₂⁴	1	1	yes	characteristic
614	C₂²×D₄	C₂⁴	1	3	yes	—
615	C₂²×D₄	C₂⁴	1	6	yes	—
616	C₂²×D₄	C₂⁴	1	3	yes	—
617	C₂²×D₄	C₂⁴	1	2	yes	—
618	C₂²×D₄	C₂⁴	1	2	yes	—
619	C₂²×D₄	C₂⁴	1	6	yes	—
620	C₂²×D₄	C₂⁴	1	6	yes	—
621	C₂²×D₄	C₂⁴	1	6	yes	—
622	C₂²×D₄	C₂⁴	1	6	yes	—
623	C₂²×D₄	C₂⁴	1	3	yes	—
624	C₂²×D₄	C₂⁴	1	6	yes	—
625	C₂²×D₄	C₂⁴	1	6	yes	—
626	C₂²×D₄	C₂⁴	1	3	yes	—
627	C₂²×D₄	C₂⁴	1	12	yes	—
628	C₂²×D₄	C₂⁴	1	3	yes	—
629	C₂²×D₄	C₂⁴	1	24	yes	—
630	C₂²×D₄	C₂⁴	1	6	yes	—
631	C₂²×D₄	C₂⁴	1	2	yes	—
632	C₂²×D₄	C₂⁴	1	6	yes	—
633	C₂²×D₄	C₂⁴	1	6	yes	—
634	C₂²×D₄	C₂⁴	1	12	yes	—
635	C₂²×D₄	C₂⁴	1	2	yes	—
636	C₂²×D₄	C₂⁴	1	6	yes	—
637	C₂²×D₄	C₂⁴	1	48	yes	—
638	C₂³×C₄	—	4	24	no	—
639	C₂³×C₄	C₂⁴	1	3	yes	—
640	C₂³×C₄	C₂⁴	1	3	yes	—
641	C₂³×C₄	C₂⁴	1	6	yes	—
642	C₂³×C₄	C₂⁴	1	6	yes	—
643	C₂³×C₄	C₂⁴	1	3	yes	—
644	C₂³×C₄	C₂⁴	1	6	yes	—
645	C₂³×C₄	C₂⁴	1	3	yes	—
646	C₂³×C₄	C₂⁴	1	3	yes	—
647	C₂³×C₄	C₂⁴	1	1	yes	characteristic
648	C₂³×C₄	C₂⁴	1	3	yes	—
649	C₂³×C₄	C₂⁴	1	12	yes	—
650	C₂³×C₄	C₂⁴	1	12	yes	—
651	C₂³×C₄	C₂⁴	1	6	yes	—
652	C₂³×C₄	C₂⁴	1	3	yes	—
653	C₂³×C₄	C₂⁴	1	6	yes	—
654	C₂³×C₄	C₂⁴	1	6	yes	—
655	C₂³×C₄	C₂⁴	1	3	yes	—
656	C₂³×C₄	C₂⁴	1	12	yes	—
657	C₂³×C₄	C₂⁴	1	2	yes	—
658	C₂³×C₄	C₂⁴	1	2	yes	—
659	C₂³×C₄	C₂⁴	1	48	yes	—
660	C₄⋊Q₈	C₂⁴	1	24	yes	—
661	C₄⋊Q₈	C₂⁴	1	24	yes	—
662	C₄⋊Q₈	C₂⁴	1	24	yes	—
663	C₄⋊Q₈	C₂⁴	1	48	yes	—
664	C₄⋊Q₈	C₂⁴	1	48	yes	—
665	C₄⋊Q₈	C₂⁴	1	24	yes	—
666	C₄⋊Q₈	C₂⁴	1	48	yes	—
667	C₄⋊Q₈	C₂⁴	1	24	yes	—
668	C₄⋊Q₈	C₂⁴	1	24	yes	—
669	C₄⋊Q₈	C₂⁴	1	48	yes	—
670	#127	C₂⁴	1	8	yes	—
671	#127	C₂⁴	1	24	yes	—
672	#127	C₂⁴	1	24	yes	—
673	#127	C₂⁴	1	48	yes	—
674	#127	C₂⁴	1	24	yes	—
675	#127	C₂⁴	1	48	yes	—
676	#127	C₂⁴	1	96	yes	—
677	#126	C₂⁴	1	48	yes	—
678	#126	C₂⁴	1	48	yes	—
679	#126	C₂⁴	1	96	yes	—
680	#126	C₂⁴	1	48	yes	—
681	#126	C₂⁴	1	48	yes	—
682	#126	C₂⁴	1	48	yes	—
683	#126	C₂⁴	1	48	yes	—
684	#126	C₂⁴	1	96	yes	—
685	#126	C₂⁴	1	96	yes	—
686	#126	C₂⁴	1	96	yes	—
687	#125	C₂⁴	1	24	yes	—
688	#125	C₂⁴	1	8	yes	—
689	#125	C₂⁴	1	24	yes	—
690	#125	C₂⁴	1	48	yes	—
691	#125	C₂⁴	1	48	yes	—
692	#125	C₂⁴	1	24	yes	—
693	#125	C₂⁴	1	48	yes	—
694	#125	C₂⁴	1	48	yes	—
695	#125	C₂⁴	1	96	yes	—
696	#125	C₂⁴	1	96	yes	—
697	#124	C₂⁴	1	24	yes	—
698	#124	C₂⁴	1	48	yes	—
699	#124	C₂⁴	1	24	yes	—
700	#124	C₂⁴	1	24	yes	—
701	#124	C₂⁴	1	48	yes	—
702	#124	C₂⁴	1	48	yes	—
703	#124	C₂⁴	1	24	yes	—
704	#124	C₂⁴	1	48	yes	—
705	#124	C₂⁴	1	48	yes	—
706	#124	C₂⁴	1	48	yes	—
707	#124	C₂⁴	1	48	yes	—
708	#124	C₂⁴	1	48	yes	—
709	#124	C₂⁴	1	48	yes	—
710	#124	C₂⁴	1	96	yes	—
711	#123	C₂⁴	1	96	yes	—
712	#123	C₂⁴	1	48	yes	—
713	#123	C₂⁴	1	16	yes	—
714	#123	C₂⁴	1	48	yes	—
715	#123	C₂⁴	1	48	yes	—
716	#123	C₂⁴	1	48	yes	—
717	#123	C₂⁴	1	16	yes	—
718	#123	C₂⁴	1	48	yes	—
719	#123	C₂⁴	1	48	yes	—
720	#123	C₂⁴	1	96	yes	—
721	#123	C₂⁴	1	48	yes	—
722	#123	C₂⁴	1	48	yes	—
723	#123	C₂⁴	1	96	yes	—
724	#123	C₂⁴	1	96	yes	—
725	#123	C₂⁴	1	96	yes	—
726	#123	C₂⁴	1	96	yes	—
727	#123	C₂⁴	1	96	yes	—
728	#123	C₂⁴	1	96	yes	—
729	C₂²⋊Q₈	C₂⁴	1	48	yes	—
730	C₂²⋊Q₈	C₂⁴	1	24	yes	—
731	C₂²⋊Q₈	C₂⁴	1	48	yes	—
732	C₂²⋊Q₈	C₂⁴	1	96	yes	—
733	C₂²⋊Q₈	C₂⁴	1	48	yes	—
734	C₂²⋊Q₈	C₂⁴	1	48	yes	—
735	C₂²⋊Q₈	C₂⁴	1	48	yes	—
736	C₂²⋊Q₈	C₂⁴	1	48	yes	—
737	C₂²⋊Q₈	C₂⁴	1	48	yes	—
738	C₂²⋊Q₈	C₂⁴	1	48	yes	—
739	C₂²⋊Q₈	C₂⁴	1	48	yes	—
740	C₂²⋊Q₈	C₂⁴	1	48	yes	—
741	C₂²⋊Q₈	C₂⁴	1	24	yes	—
742	C₂²⋊Q₈	C₂⁴	1	48	yes	—
743	C₂²⋊Q₈	C₂⁴	1	48	yes	—
744	C₂²⋊Q₈	C₂⁴	1	24	yes	—
745	C₂²⋊Q₈	C₂⁴	1	24	yes	—
746	C₂²⋊Q₈	C₂⁴	1	48	yes	—
747	C₂²⋊Q₈	C₂⁴	1	48	yes	—
748	C₂²⋊Q₈	C₂⁴	1	48	yes	—
749	C₂²⋊Q₈	C₂⁴	1	96	yes	—
750	C₂²⋊Q₈	C₂⁴	1	96	yes	—
751	C₂²⋊Q₈	C₂⁴	1	96	yes	—
752	C₂²⋊Q₈	C₂⁴	1	96	yes	—
753	#121	C₂⁴	1	48	yes	—
754	#121	C₂⁴	1	48	yes	—
755	#121	C₂⁴	1	16	yes	—
756	#121	C₂⁴	1	24	yes	—
757	#121	C₂⁴	1	48	yes	—
758	#121	C₂⁴	1	48	yes	—
759	#121	C₂⁴	1	48	yes	—
760	#121	C₂⁴	1	48	yes	—
761	#121	C₂⁴	1	8	yes	—
762	#121	C₂⁴	1	24	yes	—
763	#121	C₂⁴	1	48	yes	—
764	#121	C₂⁴	1	24	yes	—
765	#121	C₂⁴	1	48	yes	—
766	#121	C₂⁴	1	48	yes	—
767	#121	C₂⁴	1	24	yes	—
768	#121	C₂⁴	1	24	yes	—
769	#121	C₂⁴	1	48	yes	—
770	#121	C₂⁴	1	48	yes	—
771	#121	C₂⁴	1	48	yes	—
772	#121	C₂⁴	1	24	yes	—
773	#121	C₂⁴	1	8	yes	—
774	#121	C₂⁴	1	16	yes	—
775	#121	C₂⁴	1	48	yes	—
776	#121	C₂⁴	1	48	yes	—
777	#121	C₂⁴	1	48	yes	—
778	#121	C₂⁴	1	48	yes	—
779	#121	C₂⁴	1	48	yes	—
780	#121	C₂⁴	1	24	yes	—
781	#121	C₂⁴	1	24	yes	—
782	#121	C₂⁴	1	96	yes	—
783	#121	C₂⁴	1	48	yes	—
784	#121	C₂⁴	1	48	yes	—
785	#121	C₂⁴	1	48	yes	—
786	#121	C₂⁴	1	96	yes	—
787	#121	C₂⁴	1	96	yes	—
788	#121	C₂⁴	1	96	yes	—
789	#121	C₂⁴	1	96	yes	—
790	#121	C₂⁴	1	96	yes	—
791	#121	C₂⁴	1	96	yes	—
792	#121	C₂⁴	1	96	yes	—
793	#121	C₂⁴	1	96	yes	—
794	#120	C₂⁴	1	96	yes	—
795	#120	C₂⁴	1	48	yes	—
796	#120	C₂⁴	1	48	yes	—
797	#120	C₂⁴	1	48	yes	—
798	#120	C₂⁴	1	48	yes	—
799	#120	C₂⁴	1	96	yes	—
800	C₄×Q₈	C₂⁴	1	8	yes	—
801	C₄×Q₈	C₂⁴	1	8	yes	—
802	C₄×Q₈	C₂⁴	1	8	yes	—
803	C₄×Q₈	C₂⁴	1	16	yes	—
804	C₄×Q₈	C₂⁴	1	24	yes	—
805	C₄×Q₈	C₂⁴	1	48	yes	—
806	C₄×Q₈	C₂⁴	1	24	yes	—
807	C₄×Q₈	C₂⁴	1	48	yes	—
808	C₄×Q₈	C₂⁴	1	24	yes	—
809	C₄×Q₈	C₂⁴	1	8	yes	—
810	C₄×Q₈	C₂⁴	1	24	yes	—
811	C₄×Q₈	C₂⁴	1	24	yes	—
812	C₄×Q₈	C₂⁴	1	24	yes	—
813	C₄×Q₈	C₂⁴	1	48	yes	—
814	C₄×Q₈	C₂⁴	1	48	yes	—
815	C₄×Q₈	C₂⁴	1	48	yes	—
816	C₄×D₄	C₂⁴	1	8	yes	—
817	C₄×D₄	C₂⁴	1	24	yes	—
818	C₄×D₄	C₂⁴	1	48	yes	—
819	C₄×D₄	C₂⁴	1	24	yes	—
820	C₄×D₄	C₂⁴	1	48	yes	—
821	C₄×D₄	C₂⁴	1	24	yes	—
822	C₄×D₄	C₂⁴	1	24	yes	—
823	C₄×D₄	C₂⁴	1	24	yes	—
824	C₄×D₄	C₂⁴	1	8	yes	—
825	C₄×D₄	C₂⁴	1	24	yes	—
826	C₄×D₄	C₂⁴	1	48	yes	—
827	C₄×D₄	C₂⁴	1	24	yes	—
828	C₄×D₄	C₂⁴	1	48	yes	—
829	C₄×D₄	C₂⁴	1	24	yes	—
830	C₄×D₄	C₂⁴	1	24	yes	—
831	C₄×D₄	C₂⁴	1	24	yes	—
832	C₄×D₄	C₂⁴	1	24	yes	—
833	C₄×D₄	C₂⁴	1	24	yes	—
834	C₄×D₄	C₂⁴	1	24	yes	—
835	C₄×D₄	C₂⁴	1	24	yes	—
836	C₄×D₄	C₂⁴	1	96	yes	—
837	C₄×D₄	C₂⁴	1	48	yes	—
838	C₄×D₄	C₂⁴	1	48	yes	—
839	C₄×D₄	C₂⁴	1	96	yes	—
840	C₄×D₄	C₂⁴	1	48	yes	—
841	C₄×D₄	C₂⁴	1	48	yes	—
842	C₄×D₄	C₂⁴	1	48	yes	—
843	C₄×D₄	C₂⁴	1	48	yes	—
844	C₄×D₄	C₂⁴	1	48	yes	—
845	C₄×D₄	C₂⁴	1	48	yes	—
846	C₄×D₄	C₂⁴	1	96	yes	—
847	C₄×D₄	C₂⁴	1	48	yes	—
848	C₄×D₄	C₂⁴	1	96	yes	—
849	C₄×D₄	C₂⁴	1	48	yes	—
850	C₄×D₄	C₂⁴	1	48	yes	—
851	C₄×D₄	C₂⁴	1	96	yes	—
852	#117	C₂⁴	1	24	yes	—
853	#117	C₂⁴	1	8	yes	—
854	#117	C₂⁴	1	24	yes	—
855	#117	C₂⁴	1	24	yes	—
856	#117	C₂⁴	1	24	yes	—
857	#117	C₂⁴	1	24	yes	—
858	#117	C₂⁴	1	48	yes	—
859	#117	C₂⁴	1	48	yes	—
860	#117	C₂⁴	1	48	yes	—
861	#117	C₂⁴	1	48	yes	—
862	#117	C₂⁴	1	96	yes	—
863	#117	C₂⁴	1	48	yes	—
864	#117	C₂⁴	1	48	yes	—
865	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
866	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
867	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
868	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
869	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
870	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
871	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
872	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
873	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
874	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
875	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
876	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
877	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
878	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
879	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
880	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
881	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
882	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
883	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
884	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
885	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
886	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
887	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
888	C₂×C₄⋊C₄	C₂⁴	1	96	yes	—
889	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
890	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
891	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
892	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
894	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
895	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
897	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
898	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
899	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
900	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
901	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
902	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
903	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
904	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
905	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
906	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
907	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
908	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
909	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
910	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
911	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
912	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
913	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
914	C₂×C₂²⋊C₄	C₂⁴	1	48	yes	—
915	C₂×C₂²⋊C₄	C₂⁴	1	96	yes	—
916	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
917	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
918	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
919	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
920	C₂×C₂²⋊C₄	C₂⁴	1	3	yes	—
921	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
922	C₂×C₂²⋊C₄	C₂⁴	1	3	yes	—
923	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
925	C₂×C₂²⋊C₄	C₂⁴	1	3	yes	—
926	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
927	C₂×C₂²⋊C₄	C₂⁴	1	3	yes	—
928	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
929	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
930	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
931	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
932	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
933	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
934	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
935	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
936	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
937	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
938	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
939	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
940	C₂×C₄²	C₂⁴	1	1	yes	characteristic
941	C₂×C₄²	C₂⁴	1	3	yes	—
942	C₂×C₄²	C₂⁴	1	6	yes	—
943	C₂×C₄²	C₂⁴	1	1	yes	characteristic
944	C₂×C₄²	C₂⁴	1	12	yes	—
945	C₂×C₄²	C₂⁴	1	3	yes	—
946	C₂×C₄²	C₂⁴	1	6	yes	—
947	C₂×C₄²	C₂⁴	1	3	yes	—
948	C₂×C₄²	C₂⁴	1	3	yes	—
949	C₂×C₄²	C₂⁴	1	3	yes	—
950	C₂×C₄²	C₂⁴	1	6	yes	—
951	C₂×C₄²	C₂⁴	1	3	yes	—
952	C₂×C₄²	C₂⁴	1	3	yes	—
953	C₂×C₄²	C₂⁴	1	3	yes	—
954	C₂×C₄²	C₂⁴	1	24	yes	—
955	C₂×C₄²	C₂⁴	1	24	yes	—
956	C₂×C₄²	C₂⁴	1	48	yes	—
957	C₂×C₄²	C₂⁴	1	24	yes	—
958	C₂⁴	—	4	12	no	—
959	C₂⁴	—	4	12	no	—
960	C₂⁴	—	4	12	no	—
961	C₂⁴	C₂⁵	1	2	yes	—
962	C₂⁴	C₂⁵	1	3	yes	—
963	C₂⁴	C₂⁵	1	6	yes	—
964	C₂⁴	C₂⁵	1	1	yes	characteristic
965	C₂⁴	C₂⁵	1	2	yes	—
966	C₂⁴	C₂⁵	1	3	yes	—
967	C₂⁴	C₂⁵	1	24	yes	—
968	#41	—	2	32	no	—
969	#41	—	2	64	no	—
970	#41	—	2	32	no	—
971	#41	—	4	48	no	—
972	#41	—	4	96	no	—
973	#41	—	4	96	no	—
974	#41	—	4	96	no	—
975	#41	—	4	96	no	—
976	#41	—	4	48	no	—
977	#41	—	4	96	no	—
978	#41	—	4	96	no	—
979	#41	—	4	96	no	—
980	#41	—	4	96	no	—
981	#41	—	4	96	no	—
982	C₂×Q₈	—	2	64	no	—
983	C₂×Q₈	—	2	32	no	—
984	C₂×Q₈	—	2	64	no	—
985	C₂×Q₈	—	2	12	no	—
986	C₂×Q₈	—	2	24	no	—
987	C₂×Q₈	—	2	24	no	—
988	C₂×Q₈	—	2	12	no	—
989	C₂×Q₈	—	4	12	no	—
990	C₂×Q₈	—	4	12	no	—
991	C₂×Q₈	—	4	6	no	—
992	C₂×Q₈	—	4	96	no	—
993	C₂×Q₈	—	4	96	no	—
994	C₂×Q₈	H(5,𝔽₂)	1	8	yes	—
995	C₂×Q₈	C₂⁵	1	12	yes	—
996	C₂×Q₈	C₂⁵	1	12	yes	—
997	C₂×Q₈	C₂⁵	1	24	yes	—
998	C₂×Q₈	C₂⁵	1	24	yes	—
999	C₂×Q₈	C₂⁵	1	12	yes	—
1000	C₂×Q₈	C₂⁵	1	24	yes	—
1001	C₂×Q₈	C₂⁵	1	24	yes	—
1002	C₂×Q₈	C₂⁵	1	4	yes	—
1003	C₂×D₄	—	2	12	no	—
1004	C₂×D₄	—	2	24	no	—
1005	C₂×D₄	—	2	12	no	—
1006	C₂×D₄	—	2	4	no	—
1007	C₂×D₄	—	2	12	no	—
1008	C₂×D₄	—	2	4	no	—
1009	C₂×D₄	—	4	48	no	—
1010	C₂×D₄	—	4	96	no	—
1011	C₂×D₄	—	4	12	no	—
1012	C₂×D₄	—	4	24	no	—
1013	C₂×D₄	—	4	4	no	—
1014	C₂×D₄	—	4	12	no	—
1015	C₂×D₄	—	4	4	no	—
1016	C₂×D₄	—	4	12	no	—
1017	C₂×D₄	—	4	12	no	—
1018	C₂×D₄	—	4	12	no	—
1019	C₂×D₄	—	4	6	no	—
1020	C₂×D₄	—	4	6	no	—
1021	C₂×D₄	—	4	6	no	—
1022	C₂×D₄	—	4	24	no	—
1023	C₂×D₄	—	4	12	no	—
1024	C₂×D₄	—	4	4	no	—
1025	C₂×D₄	—	4	4	no	—
1026	C₂×D₄	—	4	12	no	—
1027	C₂×D₄	—	4	12	no	—
1028	C₂×D₄	—	4	12	no	—
1029	C₂×D₄	—	4	12	no	—
1030	C₂×D₄	C₂⁵	1	4	yes	—
1031	C₂×D₄	C₂⁵	1	12	yes	—
1032	C₂×D₄	C₂⁵	1	4	yes	—
1033	C₂×D₄	C₂⁵	1	12	yes	—
1034	C₂×D₄	C₂⁵	1	24	yes	—
1035	C₂×D₄	C₂⁵	1	12	yes	—
1036	C₂×D₄	C₂⁵	1	8	yes	—
1037	C₂×D₄	C₂⁵	1	8	yes	—
1038	C₂×D₄	C₂⁵	1	24	yes	—
1039	C₂×D₄	C₂⁵	1	24	yes	—
1040	C₂×D₄	C₂⁵	1	24	yes	—
1041	C₂×D₄	C₂⁵	1	24	yes	—
1042	C₂×D₄	C₂⁵	1	12	yes	—
1043	C₂×D₄	C₂⁵	1	24	yes	—
1044	C₂×D₄	C₂⁵	1	24	yes	—
1045	C₂×D₄	C₂⁵	1	12	yes	—
1046	C₂×D₄	C₂⁵	1	48	yes	—
1047	C₂×D₄	C₂⁵	1	12	yes	—
1048	C₂×D₄	C₂⁵	1	24	yes	—
1049	C₂×D₄	C₂⁵	1	8	yes	—
1050	C₂×D₄	C₂⁵	1	24	yes	—
1051	C₂×D₄	C₂⁵	1	24	yes	—
1052	C₂×D₄	C₂⁵	1	48	yes	—
1053	C₂×D₄	C₂⁵	1	8	yes	—
1054	C₂×D₄	C₂⁵	1	24	yes	—
1055	C₂²×C₄	—	2	12	no	—
1056	C₂²×C₄	—	2	24	no	—
1057	C₂²×C₄	—	2	24	no	—
1058	C₂²×C₄	—	2	24	no	—
1059	C₂²×C₄	—	2	12	no	—
1060	C₂²×C₄	—	2	12	no	—
1061	C₂²×C₄	—	2	12	no	—
1062	C₂²×C₄	—	2	12	no	—
1063	C₂²×C₄	—	2	4	no	—
1064	C₂²×C₄	—	4	96	no	—
1065	C₂²×C₄	—	4	4	no	—
1066	C₂²×C₄	—	4	12	no	—
1067	C₂²×C₄	—	4	12	no	—
1068	C₂²×C₄	—	4	6	no	—
1069	C₂²×C₄	—	4	4	no	—
1070	C₂²×C₄	—	4	6	no	—
1071	C₂²×C₄	—	4	6	no	—
1072	C₂²×C₄	—	4	24	no	—
1073	C₂²×C₄	—	4	24	no	—
1074	C₂²×C₄	—	4	24	no	—
1075	C₂²×C₄	—	4	12	no	—
1076	C₂²×C₄	C₂⁵	1	4	yes	—
1077	C₂²×C₄	C₂⁵	1	12	yes	—
1078	C₂²×C₄	C₂⁵	1	12	yes	—
1079	C₂²×C₄	C₂⁵	1	12	yes	—
1080	C₂²×C₄	C₂⁵	1	24	yes	—
1081	C₂²×C₄	C₂⁵	1	12	yes	—
1082	C₂²×C₄	C₂⁵	1	12	yes	—
1083	C₂²×C₄	C₂⁵	1	24	yes	—
1084	C₂²×C₄	C₂⁵	1	24	yes	—
1085	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1086	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1087	C₂²×C₄	C₂⁵	1	3	yes	—
1088	C₂²×C₄	C₂⁵	1	2	yes	—
1089	C₂²×C₄	C₂⁵	1	3	yes	—
1090	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1091	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1092	C₂²×C₄	C₂⁵	1	3	yes	—
1093	C₂²×C₄	C₂⁵	1	6	yes	—
1094	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1095	C₂²×C₄	C₂⁵	1	3	yes	—
1096	C₂²×C₄	C₂⁵	1	6	yes	—
1097	C₂²×C₄	C₂⁵	1	3	yes	—
1098	C₂²×C₄	C₂⁵	1	6	yes	—
1099	C₂²×C₄	C₂⁵	1	2	yes	—
1100	C₂²×C₄	C₂⁵	1	8	yes	—
1101	C₂²×C₄	C₂⁵	1	12	yes	—
1102	C₂²×C₄	C₂⁵	1	12	yes	—
1103	C₂²×C₄	C₂⁵	1	24	yes	—
1104	C₂²×C₄	C₂⁵	1	12	yes	—
1105	C₂²×C₄	C₂⁵	1	48	yes	—
1106	C₂²×C₄	C₂⁵	1	48	yes	—
1107	C₂²×C₄	C₂⁵	1	24	yes	—
1108	C₂²×C₄	C₂⁵	1	24	yes	—
1109	C₂²×C₄	C₂⁵	1	48	yes	—
1110	C₂²×C₄	C₂⁵	1	8	yes	—
1111	C₂²×C₄	C₂⁵	1	3	yes	—
1112	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1113	C₄⋊C₄	C₂⁵	1	12	yes	—
1114	C₄⋊C₄	C₂⁵	1	4	yes	—
1115	C₄⋊C₄	C₂⁵	1	12	yes	—
1116	C₄⋊C₄	C₂⁵	1	12	yes	—
1117	C₄⋊C₄	C₂⁵	1	12	yes	—
1118	C₄⋊C₄	C₂⁵	1	24	yes	—
1119	C₄⋊C₄	C₂⁵	1	12	yes	—
1120	C₄⋊C₄	C₂⁵	1	24	yes	—
1121	C₄⋊C₄	C₂⁵	1	24	yes	—
1122	C₄⋊C₄	C₂⁵	1	48	yes	—
1123	C₄⋊C₄	C₂⁵	1	24	yes	—
1124	C₄⋊C₄	C₂⁵	1	12	yes	—
1125	C₄⋊C₄	C₂⁵	1	12	yes	—
1126	C₄⋊C₄	C₂⁵	1	24	yes	—
1127	C₄⋊C₄	C₂⁵	1	24	yes	—
1128	C₄⋊C₄	C₂⁵	1	24	yes	—
1129	C₄⋊C₄	C₂⁵	1	48	yes	—
1130	C₄⋊C₄	C₂⁵	1	48	yes	—
1131	C₄⋊C₄	C₂⁵	1	24	yes	—
1132	C₄⋊C₄	C₂⁵	1	12	yes	—
1133	C₄⋊C₄	C₂⁵	1	4	yes	—
1134	C₄⋊C₄	C₂⁵	1	8	yes	—
1135	C₄⋊C₄	C₂⁵	1	24	yes	—
1136	C₄⋊C₄	C₂⁵	1	4	yes	—
1137	C₄⋊C₄	C₂⁵	1	4	yes	—
1138	C₄⋊C₄	C₂⁵	1	12	yes	—
1139	C₄⋊C₄	C₂⁵	1	12	yes	—
1140	C₄⋊C₄	C₂⁵	1	24	yes	—
1141	C₄⋊C₄	C₂⁵	1	24	yes	—
1142	C₄⋊C₄	C₂⁵	1	24	yes	—
1143	C₄⋊C₄	C₂⁵	1	24	yes	—
1144	C₄⋊C₄	C₂⁵	1	8	yes	—
1145	C₄⋊C₄	C₂⁵	1	24	yes	—
1146	C₄⋊C₄	C₂⁵	1	24	yes	—
1147	C₂²⋊C₄	C₂⁵	1	8	yes	—
1148	C₂²⋊C₄	C₂⁵	1	24	yes	—
1149	C₂²⋊C₄	C₂⁵	1	24	yes	—
1150	C₂²⋊C₄	C₂⁵	1	24	yes	—
1151	C₂²⋊C₄	C₂⁵	1	24	yes	—
1152	C₂²⋊C₄	C₂⁵	1	48	yes	—
1153	C₂²⋊C₄	C₂⁵	1	24	yes	—
1154	C₂²⋊C₄	C₂⁵	1	24	yes	—
1155	C₂²⋊C₄	C₂⁵	1	8	yes	—
1156	C₂²⋊C₄	C₂⁵	1	24	yes	—
1157	C₂²⋊C₄	C₂⁵	1	8	yes	—
1158	C₂²⋊C₄	C₂⁵	1	24	yes	—
1159	C₂²⋊C₄	C₂⁵	1	12	yes	—
1160	C₂²⋊C₄	C₂⁵	1	4	yes	—
1161	C₂²⋊C₄	C₂⁵	1	12	yes	—
1162	C₂²⋊C₄	C₂⁵	1	4	yes	—
1163	C₂²⋊C₄	C₂⁵	1	24	yes	—
1164	C₂²⋊C₄	C₂⁵	1	12	yes	—
1165	C₂²⋊C₄	C₂⁵	1	24	yes	—
1166	C₂²⋊C₄	C₂⁵	1	12	yes	—
1167	C₂²⋊C₄	C₂⁵	1	48	yes	—
1168	C₂²⋊C₄	C₂⁵	1	24	yes	—
1169	C₂²⋊C₄	C₂⁵	1	24	yes	—
1170	C₂²⋊C₄	C₂⁵	1	24	yes	—
1171	C₂²⋊C₄	C₂⁵	1	24	yes	—
1172	C₂²⋊C₄	C₂⁵	1	48	yes	—
1173	C₂²⋊C₄	C₂⁵	1	24	yes	—
1174	C₂²⋊C₄	C₂⁵	1	24	yes	—
1175	C₂²⋊C₄	C₂⁵	1	24	yes	—
1176	C₂²⋊C₄	C₂⁵	1	24	yes	—
1177	C₂²⋊C₄	C₂⁵	1	24	yes	—
1178	C₂²⋊C₄	C₂⁵	1	8	yes	—
1179	C₄²	C₂⁵	1	4	yes	—
1180	C₄²	C₂⁵	1	4	yes	—
1181	C₄²	C₂⁵	1	12	yes	—
1182	C₄²	C₂⁵	1	12	yes	—
1183	C₄²	C₂⁵	1	12	yes	—
1184	C₄²	C₂⁵	1	24	yes	—
1185	C₄²	C₂⁵	1	12	yes	—
1186	C₄²	C₂⁵	1	24	yes	—
1187	C₄²	C₂⁵	1	12	yes	—
1188	C₄²	C₂⁵	1	12	yes	—
1189	C₄²	C₂⁵	1	12	yes	—
1190	C₄²	C₂⁵	1	24	yes	—
1191	C₄²	C₂⁵	1	12	yes	—
1192	C₄²	C₂⁵	1	48	yes	—
1193	C₂³	—	2	4	no	—
1194	C₂³	—	2	2	no	—
1195	C₂³	—	2	4	no	—
1196	C₂³	—	2	6	no	—
1197	C₂³	—	2	12	no	—
1198	C₂³	—	2	6	no	—
1199	C₂³	—	2	2	no	—
1200	C₂³	—	2	6	no	—
1201	C₂³	—	2	6	no	—
1202	C₂³	—	2	4	no	—
1203	C₂³	—	2	12	no	—
1204	C₂³	—	2	4	no	—
1205	C₂³	—	2	2	no	—
1206	C₂³	—	2	4	no	—
1207	C₂³	—	2	6	no	—
1208	C₂³	—	2	6	no	—
1209	C₂³	—	2	12	no	—
1210	C₂³	—	2	4	no	—
1211	C₂³	—	4	24	no	—
1212	C₂³	—	4	24	no	—
1213	C₂³	—	4	24	no	—
1214	C₂³	—	8	48	no	—
1215	C₂³	C₂⁶	1	4	yes	—
1216	C₂³	C₂⁶	1	6	yes	—
1217	C₂³	C₂⁶	1	12	yes	—
1218	C₂³	C₂⁶	1	2	yes	—
1219	C₂³	C₂⁶	1	4	yes	—
1220	C₂³	C₂⁶	1	6	yes	—
1221	C₂³	C₂⁶	1	1	yes	characteristic
1222	Q₈	—	2	24	no	—
1223	Q₈	—	2	48	no	—
1224	Q₈	—	2	48	no	—
1225	Q₈	—	2	24	no	—
1226	Q₈	—	4	24	no	—
1227	Q₈	—	4	24	no	—
1228	Q₈	—	4	12	no	—
1229	Q₈	C₂×H(5,𝔽₂)	1	16	yes	—
1230	D₄	—	2	24	no	—
1231	D₄	—	2	48	no	—
1232	D₄	—	2	24	no	—
1233	D₄	—	2	8	no	—
1234	D₄	—	2	24	no	—
1235	D₄	—	2	8	no	—
1236	D₄	—	4	24	no	—
1237	D₄	—	4	48	no	—
1238	D₄	—	4	8	no	—
1239	D₄	—	4	24	no	—
1240	D₄	—	4	8	no	—
1241	D₄	—	4	24	no	—
1242	D₄	—	4	24	no	—
1243	D₄	—	4	24	no	—
1244	D₄	—	4	12	no	—
1245	D₄	—	4	12	no	—
1246	D₄	—	4	12	no	—
1247	D₄	—	4	48	no	—
1248	D₄	—	4	24	no	—
1249	D₄	—	4	8	no	—
1250	D₄	—	4	8	no	—
1251	D₄	—	4	24	no	—
1252	D₄	—	4	24	no	—
1253	D₄	—	4	24	no	—
1254	D₄	—	4	24	no	—
1255	C₂×C₄	—	2	2	no	—
1256	C₂×C₄	—	2	4	no	—
1257	C₂×C₄	—	2	2	no	—
1258	C₂×C₄	—	2	12	no	—
1259	C₂×C₄	—	2	12	no	—
1260	C₂×C₄	—	2	6	no	—
1261	C₂×C₄	—	2	6	no	—
1262	C₂×C₄	—	2	6	no	—
1263	C₂×C₄	—	2	2	no	—
1264	C₂×C₄	—	2	12	no	—
1265	C₂×C₄	—	2	2	no	—
1266	C₂×C₄	—	2	6	no	—
1267	C₂×C₄	—	2	2	no	—
1268	C₂×C₄	—	2	4	no	—
1269	C₂×C₄	—	2	6	no	—
1270	C₂×C₄	—	2	24	no	—
1271	C₂×C₄	—	2	48	no	—
1272	C₂×C₄	—	2	48	no	—
1273	C₂×C₄	—	2	24	no	—
1274	C₂×C₄	—	2	48	no	—
1275	C₂×C₄	—	2	24	no	—
1276	C₂×C₄	—	2	24	no	—
1277	C₂×C₄	—	2	24	no	—
1278	C₂×C₄	—	2	8	no	—
1279	C₂×C₄	—	4	8	no	—
1280	C₂×C₄	—	4	24	no	—
1281	C₂×C₄	—	4	24	no	—
1282	C₂×C₄	—	4	12	no	—
1283	C₂×C₄	—	4	8	no	—
1284	C₂×C₄	—	4	12	no	—
1285	C₂×C₄	—	4	12	no	—
1286	C₂×C₄	—	4	48	no	—
1287	C₂×C₄	—	4	48	no	—
1288	C₂×C₄	—	4	48	no	—
1289	C₂×C₄	—	4	24	no	—
1290	C₂×C₄	C₂×H(5,𝔽₂)	1	12	yes	—
1291	C₂×C₄	#585	1	4	yes	—
1292	C₂×C₄	C₂⁶	1	2	yes	—
1293	C₂×C₄	C₂⁶	1	2	yes	—
1294	C₂×C₄	C₂⁶	1	4	yes	—
1295	C₂×C₄	C₂⁶	1	6	yes	—
1296	C₂×C₄	C₂⁶	1	2	yes	—
1297	C₂×C₄	C₂⁶	1	6	yes	—
1298	C₂×C₄	C₂⁶	1	2	yes	—
1299	C₂×C₄	C₂⁶	1	6	yes	—
1300	C₂×C₄	C₂⁶	1	12	yes	—
1301	C₂×C₄	C₂⁶	1	2	yes	—
1302	C₂×C₄	C₂⁶	1	6	yes	—
1303	C₂×C₄	C₂⁶	1	12	yes	—
1304	C₂×C₄	C₂⁶	1	6	yes	—
1305	C₂×C₄	C₂⁶	1	12	yes	—
1306	C₂×C₄	C₂⁶	1	4	yes	—
1307	C₂×C₄	C₂⁶	1	6	yes	—
1308	C₂×C₄	C₂⁶	1	2	yes	—
1309	C₂²	—	2	4	no	—
1310	C₂²	—	2	2	no	—
1311	C₂²	—	2	4	no	—
1312	C₂²	—	2	6	no	—
1313	C₂²	—	2	12	no	—
1314	C₂²	—	2	6	no	—
1315	C₂²	—	2	2	no	—
1316	C₂²	—	2	6	no	—
1317	C₂²	—	2	6	no	—
1318	C₂²	—	2	4	no	—
1319	C₂²	—	2	12	no	—
1320	C₂²	—	2	4	no	—
1321	C₂²	—	2	2	no	—
1322	C₂²	—	2	4	no	—
1323	C₂²	—	2	6	no	—
1324	C₂²	—	2	6	no	—
1325	C₂²	—	2	12	no	—
1326	C₂²	—	2	4	no	—
1327	C₂²	—	4	4	no	—
1328	C₂²	—	4	8	no	—
1329	C₂²	—	4	12	no	—
1330	C₂²	—	4	24	no	—
1331	C₂²	—	4	12	no	—
1332	C₂²	—	4	8	no	—
1333	C₂²	—	8	48	no	—
1334	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1335	C₂²	C₂×#585	1	2	yes	—
1336	C₂²	2₋¹⁺⁶	1	2	yes	—
1337	C₂²	C₂⁷	1	1	yes	characteristic
1338	C₄	—	2	2	no	—
1339	C₄	—	2	4	no	—
1340	C₄	—	2	2	no	—
1341	C₄	—	2	12	no	—
1342	C₄	—	2	12	no	—
1343	C₄	—	2	6	no	—
1344	C₄	—	2	6	no	—
1345	C₄	—	2	6	no	—
1346	C₄	—	2	2	no	—
1347	C₄	—	2	12	no	—
1348	C₄	—	2	2	no	—
1349	C₄	—	2	6	no	—
1350	C₄	—	2	2	no	—
1351	C₄	—	2	4	no	—
1352	C₄	—	2	6	no	—
1353	C₄	C₂²×H(5,𝔽₂)	1	12	yes	—
1354	C₄	C₂×#585	1	4	yes	—
1355	C₂	—	4	2	no	—
1356	C₂	—	4	4	no	—
1357	C₂	—	4	6	no	—
1358	C₂	—	4	12	no	—
1359	C₂	—	4	6	no	—
1360	C₂	—	4	4	no	—
1361	C₂	#62922	1	4	yes	direct product factor
1362	C₂	C₂³×H(5,𝔽₂)	1	1	yes	characteristic
1363	C₂	C₂²×#585	1	1	yes	characteristic
1364	C₂	C₂×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁷
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #62922	C₂	direct (N × H)
2. C₂×#3499	C₂	semidirect
3. C₂×#3489	C₂	semidirect
4. C₂×#3511	C₂	semidirect
5. C₂×#3517	C₂	semidirect
6. C₂×#3517	C₂	semidirect
7. C₂×#3487	C₂	semidirect
8. C₂×#3523	C₂	semidirect
9. C₂×#3516	C₂	semidirect
10. C₂×#3497	C₂	semidirect
11. C₂×#3497	C₂	semidirect
12. C₂×#3520	C₂	semidirect
13. C₂×#3548	C₂	semidirect
14. C₂×#3546	C₂	semidirect
15. C₂×#3546	C₂	semidirect
16. C₂×#3552	C₂	semidirect
17. C₂×#3562	C₂	semidirect
18. C₂×#3551	C₂	semidirect
19. C₂×#3539	C₂	semidirect
20. C₂×#3541	C₂	semidirect
21. C₂×#3482	C₂	semidirect
22. C₂×#3480	C₂	semidirect
23. C₂×D₄×#41	C₂	semidirect
24. C₂×#3460	C₂	semidirect
25. C₂²×2₋¹⁺⁴	C₂²	semidirect
26. C₂²×2₋¹⁺⁴	C₂²	semidirect
28. #3562	C₂²	semidirect
29. #3552	C₂²	semidirect
30. #3551	C₂²	semidirect
31. #3548	C₂²	semidirect
32. #3546	C₂²	semidirect
33. #3546	C₂²	semidirect
34. #3541	C₂²	semidirect
35. #3539	C₂²	semidirect
36. C₂×#563	C₂²	semidirect
37. C₂×#562	C₂²	semidirect
38. C₂×#560	C₂²	semidirect
39. C₂×#560	C₂²	semidirect
40. #3523	C₂²	semidirect
41. #3520	C₂²	semidirect
42. #3517	C₂²	semidirect
43. #3517	C₂²	semidirect
44. #3516	C₂²	semidirect
45. #3511	C₂²	semidirect
46. #3499	C₂²	semidirect
47. #3497	C₂²	semidirect
48. #3497	C₂²	semidirect
49. #3489	C₂²	semidirect
50. #3487	C₂²	semidirect
51. #3482	C₂²	semidirect
52. #3480	C₂²	semidirect
53. C₂×#559	C₂²	semidirect
54. C₂×#557	C₂²	semidirect
55. C₂×#557	C₂²	semidirect
56. C₂×#557	C₂²	semidirect
58. C₂×#556	C₂²	semidirect
59. C₂×#556	C₂²	semidirect
60. C₂×#556	C₂²	semidirect
61. C₂×#555	C₂²	semidirect
62. C₂×#554	C₂²	semidirect
63. C₂×#554	C₂²	semidirect
64. C₂×#554	C₂²	semidirect
65. C₂×#553	C₂²	semidirect
66. C₂×#553	C₂²	semidirect
67. C₂×#553	C₂²	semidirect
68. C₂×#553	C₂²	semidirect
69. C₂×#553	C₂²	semidirect
70. C₂×#553	C₂²	semidirect
71. C₂×#553	C₂²	semidirect
72. C₂×#553	C₂²	semidirect
73. C₂×#552	C₂²	semidirect
74. C₂×#552	C₂²	semidirect
75. C₂×#552	C₂²	semidirect
76. C₂×#551	C₂²	semidirect
77. D₄×#41	C₂²	semidirect
80. C₂×#550	C₂²	semidirect
81. C₂×#550	C₂²	semidirect
82. C₂×#550	C₂²	semidirect
83. C₂×#550	C₂²	semidirect
84. C₂×#550	C₂²	semidirect
85. C₂×#550	C₂²	semidirect
86. C₂×#550	C₂²	semidirect
88. C₂×D₄×Q₈	C₂²	semidirect
89. C₂×D₄×Q₈	C₂²	semidirect
90. C₂×D₄×Q₈	C₂²	semidirect
91. C₂×D₄×Q₈	C₂²	semidirect
92. C₂×D₄×Q₈	C₂²	semidirect
96. C₂×#548	C₂²	semidirect
97. C₂×#548	C₂²	semidirect
98. C₂×#548	C₂²	semidirect
99. C₂×#548	C₂²	semidirect
100. C₂×#548	C₂²	semidirect
101. C₂×#548	C₂²	semidirect
102. C₂×#548	C₂²	semidirect
105. C₂×#547	C₂²	semidirect
106. C₂×#547	C₂²	semidirect
107. C₂×#547	C₂²	semidirect
108. C₂×#547	C₂²	semidirect
109. C₂×#547	C₂²	semidirect
110. C₂×#547	C₂²	semidirect
113. C₂×#546	C₂²	semidirect
114. C₂×#546	C₂²	semidirect
116. #3460	C₂²	semidirect
117. C₂×#544	C₂²	semidirect
119. C₂×#542	C₂²	semidirect
120. C₂×#542	C₂²	semidirect
121. C₂×#542	C₂²	semidirect
122. C₂×#542	C₂²	semidirect
123. C₂×#541	C₂²	semidirect
124. C₂×#541	C₂²	semidirect
126. C₂×#540	C₂²	semidirect
127. C₂×#540	C₂²	semidirect
128. C₂×#540	C₂²	semidirect
129. C₂×#540	C₂²	semidirect
130. C₂×#540	C₂²	semidirect
131. C₂×#539	C₂²	semidirect
132. C₂×#539	C₂²	semidirect
133. C₂×#538	C₂²	semidirect
134. C₂×#538	C₂²	semidirect
135. C₂×#538	C₂²	semidirect
136. C₂×#538	C₂²	semidirect
137. C₂×#537	C₂²	semidirect
138. C₂×#537	C₂²	semidirect
139. C₂×#537	C₂²	semidirect
140. C₂×#537	C₂²	semidirect
141. C₂×#537	C₂²	semidirect
142. C₂×#537	C₂²	semidirect
143. C₂×#536	C₂²	semidirect
144. C₂×#536	C₂²	semidirect
147. C₂×#535	C₂²	semidirect
148. C₂×#535	C₂²	semidirect
149. C₂×#533	C₂²	semidirect
150. C₂×#533	C₂²	semidirect
153. C₂×#532	C₂²	semidirect
154. C₂×#532	C₂²	semidirect
155. C₂×#532	C₂²	semidirect
156. C₂×#532	C₂²	semidirect
157. C₂×#532	C₂²	semidirect
158. C₂×#532	C₂²	semidirect
159. C₂²×C₄⋊Q₈	C₂²	semidirect
161. C₂×#529	C₂²	semidirect
162. C₂×#529	C₂²	semidirect
163. C₂×#529	C₂²	semidirect
164. C₂×#529	C₂²	semidirect
165. C₂×#529	C₂²	semidirect
166. C₂×#529	C₂²	semidirect
168. C₂×#525	C₂²	semidirect
169. C₂×#525	C₂²	semidirect
170. C₂×#525	C₂²	semidirect
171. C₂²×C₂²⋊Q₈	C₂²	semidirect
172. C₂×#520	C₂²	semidirect
173. C₂×#520	C₂²	semidirect
174. C₂×#519	C₂²	semidirect
176. C₂×C₄×#41	C₂²	semidirect
177. C₂×C₄×#41	C₂²	semidirect
178. C₂×C₄×#41	C₂²	semidirect
179. C₂²×C₄×Q₈	C₂²	semidirect
180. C₂²×C₄×Q₈	C₂²	semidirect
184. C₂×2₋¹⁺⁴	C₂³	semidirect
185. C₂×2₋¹⁺⁴	C₂³	semidirect
210. #563	C₂³	semidirect
211. #562	C₂³	semidirect
212. #560	C₂³	semidirect
213. #560	C₂³	semidirect
214. #559	C₂³	semidirect
215. #557	C₂³	semidirect
216. #557	C₂³	semidirect
217. #557	C₂³	semidirect
219. #556	C₂³	semidirect
220. #556	C₂³	semidirect
221. #556	C₂³	semidirect
222. #555	C₂³	semidirect
223. #554	C₂³	semidirect
224. #554	C₂³	semidirect
225. #554	C₂³	semidirect
226. #553	C₂³	semidirect
227. #553	C₂³	semidirect
228. #553	C₂³	semidirect
229. #553	C₂³	semidirect
230. #553	C₂³	semidirect
231. #553	C₂³	semidirect
232. #553	C₂³	semidirect
233. #553	C₂³	semidirect
234. #552	C₂³	semidirect
235. #552	C₂³	semidirect
236. #552	C₂³	semidirect
237. #551	C₂³	semidirect
240. #550	C₂³	semidirect
241. #550	C₂³	semidirect
242. #550	C₂³	semidirect
243. #550	C₂³	semidirect
244. #550	C₂³	semidirect
245. #550	C₂³	semidirect
246. #550	C₂³	semidirect
248. D₄×Q₈	C₂³	semidirect
249. D₄×Q₈	C₂³	semidirect
250. D₄×Q₈	C₂³	semidirect
251. D₄×Q₈	C₂³	semidirect
252. D₄×Q₈	C₂³	semidirect
256. #548	C₂³	semidirect
257. #548	C₂³	semidirect
258. #548	C₂³	semidirect
259. #548	C₂³	semidirect
260. #548	C₂³	semidirect
261. #548	C₂³	semidirect
262. #548	C₂³	semidirect
265. #547	C₂³	semidirect
266. #547	C₂³	semidirect
267. #547	C₂³	semidirect
268. #547	C₂³	semidirect
269. #547	C₂³	semidirect
270. #547	C₂³	semidirect
273. #546	C₂³	semidirect
274. #546	C₂³	semidirect
276. #544	C₂³	semidirect
278. #542	C₂³	semidirect
279. #542	C₂³	semidirect
280. #542	C₂³	semidirect
281. #542	C₂³	semidirect
282. #541	C₂³	semidirect
283. #541	C₂³	semidirect
285. #540	C₂³	semidirect
286. #540	C₂³	semidirect
287. #540	C₂³	semidirect
288. #540	C₂³	semidirect
289. #540	C₂³	semidirect
290. #539	C₂³	semidirect
291. #539	C₂³	semidirect
292. #538	C₂³	semidirect
293. #538	C₂³	semidirect
294. #538	C₂³	semidirect
295. #538	C₂³	semidirect
296. #537	C₂³	semidirect
297. #537	C₂³	semidirect
298. #537	C₂³	semidirect
299. #537	C₂³	semidirect
300. #537	C₂³	semidirect
301. #537	C₂³	semidirect
302. #536	C₂³	semidirect
303. #536	C₂³	semidirect
306. #535	C₂³	semidirect
307. #535	C₂³	semidirect
308. #533	C₂³	semidirect
309. #533	C₂³	semidirect
312. #532	C₂³	semidirect
313. #532	C₂³	semidirect
314. #532	C₂³	semidirect
315. #532	C₂³	semidirect
316. #532	C₂³	semidirect
317. #532	C₂³	semidirect
328. C₂×C₄⋊Q₈	C₂³	semidirect
337. #529	C₂³	semidirect
338. #529	C₂³	semidirect
339. #529	C₂³	semidirect
340. #529	C₂³	semidirect
341. #529	C₂³	semidirect
342. #529	C₂³	semidirect
378. #525	C₂³	semidirect
379. #525	C₂³	semidirect
380. #525	C₂³	semidirect
423. C₂×C₂²⋊Q₈	C₂³	semidirect
471. #520	C₂³	semidirect
472. #520	C₂³	semidirect
473. #519	C₂³	semidirect
475. C₄×#41	C₂³	semidirect
476. C₄×#41	C₂³	semidirect
477. C₄×#41	C₂³	semidirect
494. C₂×C₄×Q₈	C₂³	semidirect
495. C₂×C₄×Q₈	C₂³	semidirect
1361. C₂	#62922	direct (N × H)

Maximal subgroups

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

subgroup	index
#62922	2
C₂×#3499	2
C₂×#3489	2
C₂×#3511	2
C₂×#3517	2
C₂×#3487	2
C₂×#3523	2
C₂×#3516	2
C₂×#3497	2
C₂×#3520	2
C₂×#3548	2
C₂×#3546	2
C₂×#3552	2
C₂×#3562	2
C₂×#3551	2
C₂×#3539	2
C₂×#3541	2
C₂×#3482	2
C₂×#3480	2
C₂×D₄×#41	2
C₂×#3460	2

Subgroups — C2×#62922 #10586264

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#62922 #10586264