Subgroups — C₂×#62993 #10586037

Order 512.

34338 conjugacy classes of subgroups.

The subgroup lattice has 1360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#62993	C₂	1	64	yes	maximal, direct product factor
2	C₂×#3512	C₂	1	3	yes	maximal, complemented
3	C₂×#3504	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#3495	C₂	1	3	yes	maximal, complemented
5	C₂×#3495	C₂	1	3	yes	maximal, complemented
6	C₂×#3489	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#3489	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#3524	C₂	1	2	yes	maximal, complemented
9	C₂×#3523	C₂	1	2	yes	maximal, complemented
10	C₂×#3516	C₂	1	2	yes	maximal, complemented
11	C₂×#3521	C₂	1	6	yes	maximal, complemented
12	C₂×#3515	C₂	1	6	yes	maximal, complemented
13	C₂×#3507	C₂	1	3	yes	maximal, complemented
14	C₂×#3493	C₂	1	3	yes	maximal, complemented
15	C₂×#3513	C₂	1	6	yes	maximal, complemented
16	C₂×#3492	C₂	1	3	yes	maximal, complemented
17	C₂×#3482	C₂	1	2	yes	maximal, complemented
18	C₂×#3475	C₂	1	3	yes	maximal, complemented
19	C₂×#3475	C₂	1	6	yes	maximal, complemented
20	C₂²×#552	C₂	1	3	yes	maximal, complemented
21	C₂×D₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₄×2₋¹⁺⁴	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#3428	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#520	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
26	C₂³×#41	C₂²	1	1	yes	characteristic
27	C₂³×#41	C₂²	1	1	yes	characteristic
28	#3524	C₂²	1	64	yes	complemented
29	#3523	C₂²	1	64	yes	complemented
30	#3521	C₂²	1	192	yes	complemented
31	#3516	C₂²	1	64	yes	complemented
32	#3515	C₂²	1	192	yes	complemented
33	#3513	C₂²	1	192	yes	complemented
34	#3512	C₂²	1	96	yes	complemented
35	#3507	C₂²	1	96	yes	complemented
36	#3504	C₂²	1	32	yes	complemented
37	#3495	C₂²	1	96	yes	complemented
38	#3495	C₂²	1	96	yes	complemented
39	#3493	C₂²	1	96	yes	complemented
40	#3492	C₂²	1	96	yes	complemented
41	#3489	C₂²	1	32	yes	complemented
42	#3489	C₂²	1	32	yes	complemented
43	#3482	C₂²	1	64	yes	complemented
44	C₂×#559	C₂²	1	6	yes	complemented
45	C₂×#557	C₂²	1	6	yes	complemented
46	C₂×#557	C₂²	1	2	yes	complemented
47	C₂×#557	C₂²	1	2	yes	complemented
48	#3475	C₂²	1	96	yes	complemented
49	#3475	C₂²	1	192	yes	complemented
50	C₂×#556	C₂²	1	6	yes	complemented
51	C₂×#556	C₂²	1	6	yes	complemented
52	C₂×#556	C₂²	1	6	yes	complemented
53	C₂×#556	C₂²	1	6	yes	complemented
54	C₂×#556	C₂²	1	3	yes	complemented
55	C₂×#555	C₂²	1	3	yes	complemented
56	C₂×#555	C₂²	1	6	yes	complemented
57	C₂×#554	C₂²	1	6	yes	complemented
58	C₂×#554	C₂²	1	6	yes	complemented
59	C₂×#554	C₂²	1	6	yes	complemented
60	C₂×#554	C₂²	1	6	yes	complemented
61	C₂×#554	C₂²	1	3	yes	complemented
62	C₂×#553	C₂²	1	1	yes	characteristic
63	C₂×#553	C₂²	1	6	yes	complemented
64	C₂×#553	C₂²	1	6	yes	complemented
65	C₂×#553	C₂²	1	6	yes	complemented
66	C₂×#553	C₂²	1	12	yes	complemented
67	C₂×#553	C₂²	1	12	yes	complemented
68	C₂×#553	C₂²	1	3	yes	complemented
69	C₂×#552	C₂²	1	6	yes	—
70	C₂×#552	C₂²	1	3	yes	—
71	C₂×#552	C₂²	1	6	yes	complemented
72	C₂×#552	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	3	yes	complemented
76	C₂×#552	C₂²	1	6	yes	complemented
77	C₂×#552	C₂²	1	6	yes	complemented
78	C₂×#552	C₂²	1	12	yes	complemented
79	C₂×#552	C₂²	1	6	yes	complemented
80	C₂×#552	C₂²	1	12	yes	complemented
81	C₂×#552	C₂²	1	6	yes	complemented
82	C₂×#552	C₂²	1	6	yes	complemented
83	C₂×#552	C₂²	1	6	yes	complemented
84	C₂×#552	C₂²	1	96	yes	complemented
85	C₂×#551	C₂²	1	12	yes	complemented
86	C₂×#551	C₂²	1	12	yes	complemented
87	C₂×#551	C₂²	1	6	yes	complemented
88	C₂×#551	C₂²	1	6	yes	complemented
89	D₄×#41	C₂²	1	32	yes	complemented
90	C₂×#550	C₂²	1	1	yes	characteristic
91	C₂×D₄×Q₈	C₂²	1	1	yes	characteristic
92	C₂×D₄×Q₈	C₂²	1	2	yes	complemented
93	C₂×D₄×Q₈	C₂²	1	2	yes	complemented
94	C₂×#548	C₂²	1	1	yes	characteristic
95	C₂×#548	C₂²	1	1	yes	characteristic
96	C₂×#548	C₂²	1	2	yes	complemented
97	C₂×#548	C₂²	1	2	yes	complemented
98	C₂×#547	C₂²	1	3	yes	—
99	C₂×#547	C₂²	1	3	yes	complemented
100	C₂×#547	C₂²	1	6	yes	complemented
101	C₂×#547	C₂²	1	6	yes	complemented
102	C₂×#547	C₂²	1	6	yes	complemented
103	C₂×#546	C₂²	1	6	yes	—
104	C₂×#546	C₂²	1	3	yes	—
105	C₂×#546	C₂²	1	3	yes	—
106	C₂×#546	C₂²	1	6	yes	complemented
107	C₂×#546	C₂²	1	6	yes	complemented
108	C₂×D₄²	C₂²	1	3	yes	—
109	C₂×#544	C₂²	1	3	yes	complemented
110	C₂×#544	C₂²	1	3	yes	complemented
111	C₂×#542	C₂²	1	6	yes	complemented
112	C₂×#542	C₂²	1	6	yes	complemented
113	C₂×#541	C₂²	1	6	yes	complemented
114	C₂×#541	C₂²	1	6	yes	complemented
115	C₂×#541	C₂²	1	6	yes	complemented
116	C₂×#540	C₂²	1	6	yes	complemented
117	C₂×#539	C₂²	1	12	yes	complemented
118	C₂×#539	C₂²	1	12	yes	complemented
119	C₂×#538	C₂²	1	12	yes	complemented
120	C₂×#537	C₂²	1	3	yes	complemented
121	C₂×#537	C₂²	1	3	yes	complemented
122	C₂×#536	C₂²	1	3	yes	complemented
123	C₂×#536	C₂²	1	3	yes	complemented
124	C₂×#533	C₂²	1	3	yes	complemented
125	C₂×#533	C₂²	1	6	yes	complemented
126	C₂×#533	C₂²	1	6	yes	complemented
127	C₂×#532	C₂²	1	3	yes	—
128	C₂×#529	C₂²	1	6	yes	—
129	C₂×#529	C₂²	1	6	yes	complemented
130	C₂×#529	C₂²	1	12	yes	complemented
131	C₂×#529	C₂²	1	12	yes	complemented
132	C₂×#529	C₂²	1	6	yes	complemented
133	C₂×#529	C₂²	1	6	yes	complemented
134	C₂×#529	C₂²	1	6	yes	complemented
135	C₂×#529	C₂²	1	6	yes	complemented
136	C₂×#529	C₂²	1	6	yes	complemented
137	C₂²×#126	C₂²	1	6	yes	complemented
138	C₂²×#125	C₂²	1	6	yes	complemented
139	C₂²×#125	C₂²	1	3	yes	complemented
140	C₂×#525	C₂²	1	3	yes	—
141	C₂×#525	C₂²	1	3	yes	—
142	C₂×#525	C₂²	1	12	yes	complemented
143	C₂×#525	C₂²	1	3	yes	complemented
144	C₂×#525	C₂²	1	3	yes	complemented
145	C₂²×#123	C₂²	1	6	yes	—
146	C₂²×C₂²⋊Q₈	C₂²	1	3	yes	complemented
147	C₂²×C₂²⋊Q₈	C₂²	1	3	yes	complemented
148	C₄×2₋¹⁺⁴	C₂²	1	32	yes	complemented
149	#3428	C₂²	1	32	yes	complemented
150	C₂×#520	C₂²	1	1	yes	characteristic
151	C₂×#520	C₂²	1	1	yes	characteristic
152	C₂×#520	C₂²	1	1	yes	characteristic
153	C₂×#520	C₂²	1	3	yes	complemented
154	C₂×#520	C₂²	1	3	yes	complemented
155	C₂×#520	C₂²	1	6	yes	complemented
156	C₂×#520	C₂²	1	3	yes	complemented
157	C₂×#520	C₂²	1	6	yes	complemented
158	C₂×#520	C₂²	1	2	yes	complemented
159	C₂×#520	C₂²	1	3	yes	complemented
160	C₂×#520	C₂²	1	3	yes	complemented
161	C₂×#520	C₂²	1	32	yes	complemented
162	C₂×#519	C₂²	1	2	yes	complemented
163	C₂×#519	C₂²	1	2	yes	complemented
164	C₂×#519	C₂²	1	3	yes	complemented
165	C₂×#518	C₂²	1	6	yes	complemented
166	C₂×C₄×#41	C₂²	1	1	yes	characteristic
167	C₂×C₄×#41	C₂²	1	6	yes	complemented
168	C₂×C₄×#41	C₂²	1	6	yes	complemented
169	C₂×C₄×#41	C₂²	1	2	yes	complemented
170	C₂×C₄×#41	C₂²	1	3	yes	complemented
171	C₂×C₄×#41	C₂²	1	6	yes	complemented
172	C₂²×C₄×Q₈	C₂²	1	3	yes	complemented
173	C₂²×C₄×Q₈	C₂²	1	2	yes	complemented
174	C₂²×C₄×Q₈	C₂²	1	2	yes	complemented
175	C₂²×C₄×D₄	C₂²	1	3	yes	—
176	C₂²×C₄×D₄	C₂²	1	6	yes	complemented
177	C₂²×#117	C₂²	1	3	yes	complemented
178	C₂²×#117	C₂²	1	3	yes	complemented
179	C₂²×#117	C₂²	1	3	yes	complemented
180	C₂²×#117	C₂²	1	6	yes	complemented
181	C₂³×C₄⋊C₄	C₂²	1	3	yes	complemented
182	C₂×2₋¹⁺⁴	—	2	16	no	—
183	C₂×2₋¹⁺⁴	C₂³	1	16	yes	—
184	C₂²×#41	—	2	16	no	—
185	C₂²×#41	—	2	16	no	—
186	C₂²×#41	C₂³	1	3	yes	—
187	C₂²×#41	C₂³	1	1	yes	characteristic
188	C₂²×#41	C₂³	1	3	yes	—
189	C₂²×#41	C₂³	1	3	yes	—
190	C₂²×#41	C₂³	1	3	yes	—
191	C₂²×#41	C₂³	1	1	yes	characteristic
192	C₂²×#41	C₂³	1	16	yes	—
193	C₂²×#41	C₂³	1	16	yes	—
194	C₂²×#41	C₂³	1	3	yes	—
195	C₂²×#41	C₂³	1	6	yes	—
196	C₂²×#41	C₂³	1	6	yes	—
197	C₂²×#41	C₂³	1	1	yes	characteristic
198	C₂³×Q₈	C₂³	1	1	yes	characteristic
199	C₂³×Q₈	C₂³	1	1	yes	characteristic
200	C₂³×Q₈	C₂³	1	3	yes	—
201	C₂³×Q₈	C₂³	1	2	yes	—
202	C₂³×D₄	C₂³	1	3	yes	—
203	C₂³×D₄	C₂³	1	3	yes	—
204	C₂³×D₄	C₂³	1	3	yes	—
205	C₂⁴×C₄	C₂³	1	3	yes	—
206	C₂⁴×C₄	C₂³	1	3	yes	—
207	C₂⁴×C₄	C₂³	1	6	yes	—
208	#559	C₂³	1	96	yes	complemented
209	#557	C₂³	1	32	yes	complemented
210	#557	C₂³	1	32	yes	complemented
211	#557	C₂³	1	96	yes	complemented
212	#556	C₂³	1	48	yes	complemented
213	#556	C₂³	1	96	yes	complemented
214	#556	C₂³	1	96	yes	complemented
215	#556	C₂³	1	96	yes	complemented
216	#556	C₂³	1	96	yes	complemented
217	#555	C₂³	1	48	yes	complemented
218	#555	C₂³	1	96	yes	complemented
219	#554	C₂³	1	48	yes	complemented
220	#554	C₂³	1	96	yes	complemented
221	#554	C₂³	1	96	yes	complemented
222	#554	C₂³	1	96	yes	complemented
223	#554	C₂³	1	96	yes	complemented
224	#553	C₂³	1	16	yes	—
225	#553	C₂³	1	48	yes	complemented
226	#553	C₂³	1	192	yes	complemented
227	#553	C₂³	1	96	yes	complemented
228	#553	C₂³	1	96	yes	complemented
229	#553	C₂³	1	96	yes	complemented
230	#553	C₂³	1	192	yes	complemented
231	#552	C₂³	1	48	yes	—
232	#552	C₂³	1	96	yes	—
233	#552	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	#552	C₂³	1	96	yes	complemented
238	#552	C₂³	1	96	yes	complemented
239	#552	C₂³	1	96	yes	complemented
240	#552	C₂³	1	192	yes	complemented
241	#552	C₂³	1	48	yes	complemented
242	#552	C₂³	1	96	yes	complemented
243	#552	C₂³	1	96	yes	complemented
244	#552	C₂³	1	96	yes	complemented
245	#552	C₂³	1	192	yes	complemented
246	#551	C₂³	1	96	yes	complemented
247	#551	C₂³	1	192	yes	complemented
248	#551	C₂³	1	96	yes	complemented
249	#551	C₂³	1	192	yes	complemented
250	#550	C₂³	1	16	yes	—
251	D₄×Q₈	C₂³	1	16	yes	—
252	D₄×Q₈	C₂³	1	32	yes	complemented
253	D₄×Q₈	C₂³	1	32	yes	complemented
254	#548	C₂³	1	16	yes	—
255	#548	C₂³	1	16	yes	—
256	#548	C₂³	1	32	yes	complemented
257	#548	C₂³	1	32	yes	complemented
258	#547	C₂³	1	48	yes	—
259	#547	C₂³	1	96	yes	complemented
260	#547	C₂³	1	48	yes	complemented
261	#547	C₂³	1	96	yes	complemented
262	#547	C₂³	1	96	yes	complemented
263	#546	C₂³	1	48	yes	—
264	#546	C₂³	1	48	yes	—
265	#546	C₂³	1	96	yes	—
266	#546	C₂³	1	96	yes	complemented
267	#546	C₂³	1	96	yes	complemented
268	D₄²	C₂³	1	48	yes	—
269	#544	C₂³	1	48	yes	complemented
270	#544	C₂³	1	48	yes	complemented
271	#542	C₂³	1	96	yes	complemented
272	#542	C₂³	1	96	yes	complemented
273	#541	C₂³	1	96	yes	complemented
274	#541	C₂³	1	96	yes	complemented
275	#541	C₂³	1	96	yes	complemented
276	#540	C₂³	1	96	yes	complemented
277	#539	C₂³	1	192	yes	complemented
278	#539	C₂³	1	192	yes	complemented
279	#538	C₂³	1	192	yes	complemented
280	#537	C₂³	1	48	yes	complemented
281	#537	C₂³	1	48	yes	complemented
282	#536	C₂³	1	48	yes	complemented
283	#536	C₂³	1	48	yes	complemented
284	#533	C₂³	1	96	yes	complemented
285	#533	C₂³	1	48	yes	complemented
286	#533	C₂³	1	96	yes	complemented
287	#532	C₂³	1	48	yes	—
288	C₂×C₄⋊Q₈	C₂³	1	3	yes	—
289	C₂×C₄⋊Q₈	C₂³	1	6	yes	—
290	C₂×C₄⋊Q₈	C₂³	1	6	yes	—
291	C₂×C₄⋊Q₈	C₂³	1	6	yes	—
292	C₂×C₄⋊Q₈	C₂³	1	6	yes	—
293	C₂×C₄⋊Q₈	C₂³	1	3	yes	—
294	C₂×C₄⋊Q₈	C₂³	1	3	yes	—
295	C₂×#127	C₂³	1	3	yes	—
296	#529	C₂³	1	96	yes	—
297	#529	C₂³	1	192	yes	complemented
298	#529	C₂³	1	96	yes	complemented
299	#529	C₂³	1	192	yes	complemented
300	#529	C₂³	1	96	yes	complemented
301	#529	C₂³	1	96	yes	complemented
302	#529	C₂³	1	96	yes	complemented
303	#529	C₂³	1	96	yes	complemented
304	#529	C₂³	1	96	yes	complemented
305	C₂×#126	C₂³	1	6	yes	—
306	C₂×#126	C₂³	1	12	yes	—
307	C₂×#126	C₂³	1	12	yes	—
308	C₂×#126	C₂³	1	12	yes	—
309	C₂×#126	C₂³	1	6	yes	—
310	C₂×#126	C₂³	1	6	yes	—
311	C₂×#126	C₂³	1	6	yes	—
312	C₂×#126	C₂³	1	6	yes	—
313	C₂×#126	C₂³	1	2	yes	—
314	C₂×#126	C₂³	1	12	yes	—
315	C₂×#126	C₂³	1	12	yes	—
316	C₂×#126	C₂³	1	12	yes	—
317	C₂×#126	C₂³	1	12	yes	—
318	C₂×#126	C₂³	1	96	yes	complemented
319	C₂×#125	C₂³	1	6	yes	—
320	C₂×#125	C₂³	1	3	yes	—
321	C₂×#125	C₂³	1	6	yes	—
322	C₂×#125	C₂³	1	12	yes	—
323	C₂×#125	C₂³	1	12	yes	—
324	C₂×#125	C₂³	1	12	yes	—
325	C₂×#125	C₂³	1	6	yes	—
326	C₂×#125	C₂³	1	6	yes	—
327	C₂×#125	C₂³	1	6	yes	—
328	C₂×#125	C₂³	1	12	yes	—
329	C₂×#125	C₂³	1	6	yes	—
330	C₂×#125	C₂³	1	6	yes	—
331	C₂×#125	C₂³	1	6	yes	—
332	C₂×#125	C₂³	1	1	yes	characteristic
333	C₂×#125	C₂³	1	12	yes	—
334	C₂×#125	C₂³	1	48	yes	complemented
335	C₂×#125	C₂³	1	96	yes	complemented
336	C₂×#124	C₂³	1	6	yes	—
337	C₂×#124	C₂³	1	6	yes	—
338	C₂×#124	C₂³	1	3	yes	—
339	C₂×#124	C₂³	1	3	yes	—
340	C₂×#124	C₂³	1	6	yes	—
341	C₂×#124	C₂³	1	6	yes	—
342	C₂×#124	C₂³	1	12	yes	—
343	C₂×#124	C₂³	1	6	yes	—
344	#525	C₂³	1	48	yes	—
345	#525	C₂³	1	48	yes	—
346	#525	C₂³	1	48	yes	complemented
347	#525	C₂³	1	48	yes	complemented
348	#525	C₂³	1	192	yes	complemented
349	C₂×#123	C₂³	1	6	yes	—
350	C₂×#123	C₂³	1	12	yes	—
351	C₂×#123	C₂³	1	12	yes	—
352	C₂×#123	C₂³	1	12	yes	—
353	C₂×#123	C₂³	1	96	yes	—
354	C₂×#123	C₂³	1	6	yes	—
355	C₂×#123	C₂³	1	6	yes	—
356	C₂×#123	C₂³	1	6	yes	—
357	C₂×#123	C₂³	1	6	yes	—
358	C₂×#123	C₂³	1	6	yes	—
359	C₂×#123	C₂³	1	2	yes	—
360	C₂×#123	C₂³	1	6	yes	—
361	C₂×#123	C₂³	1	12	yes	—
362	C₂×#123	C₂³	1	12	yes	—
363	C₂×#123	C₂³	1	12	yes	—
364	C₂×#123	C₂³	1	6	yes	—
365	C₂×#123	C₂³	1	6	yes	—
366	C₂×#123	C₂³	1	12	yes	—
367	C₂×C₂²⋊Q₈	C₂³	1	3	yes	—
368	C₂×C₂²⋊Q₈	C₂³	1	3	yes	—
369	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
370	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
371	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
372	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
373	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
374	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
375	C₂×C₂²⋊Q₈	C₂³	1	3	yes	—
376	C₂×C₂²⋊Q₈	C₂³	1	3	yes	—
377	C₂×C₂²⋊Q₈	C₂³	1	3	yes	—
378	C₂×C₂²⋊Q₈	C₂³	1	3	yes	—
379	C₂×C₂²⋊Q₈	C₂³	1	3	yes	—
380	C₂×C₂²⋊Q₈	C₂³	1	3	yes	—
381	C₂×C₂²⋊Q₈	C₂³	1	12	yes	—
382	C₂×C₂²⋊Q₈	C₂³	1	12	yes	—
383	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
384	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
385	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
386	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
387	C₂×C₂²⋊Q₈	C₂³	1	12	yes	—
388	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
389	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
390	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
391	C₂×C₂²⋊Q₈	C₂³	1	12	yes	—
392	C₂×C₂²⋊Q₈	C₂³	1	48	yes	complemented
393	C₂×C₂²⋊Q₈	C₂³	1	48	yes	complemented
394	C₂×#121	C₂³	1	3	yes	—
395	C₂×#121	C₂³	1	3	yes	—
396	C₂×#121	C₂³	1	3	yes	—
397	C₂×#121	C₂³	1	3	yes	—
398	C₂×#121	C₂³	1	1	yes	characteristic
399	C₂×#121	C₂³	1	1	yes	characteristic
400	C₂×#121	C₂³	1	3	yes	—
401	C₂×#121	C₂³	1	3	yes	—
402	C₂×#121	C₂³	1	12	yes	—
403	C₂×#121	C₂³	1	12	yes	—
404	C₂×#121	C₂³	1	2	yes	—
405	C₂×#121	C₂³	1	6	yes	—
406	C₂×#121	C₂³	1	12	yes	—
407	C₂×#121	C₂³	1	6	yes	—
408	C₂×#121	C₂³	1	6	yes	—
409	C₂×#121	C₂³	1	6	yes	—
410	C₂×#121	C₂³	1	6	yes	—
411	C₂×#121	C₂³	1	6	yes	—
412	C₂×#120	C₂³	1	6	yes	—
413	C₂×#120	C₂³	1	6	yes	—
414	C₂×#120	C₂³	1	6	yes	—
415	C₂×#120	C₂³	1	6	yes	—
416	#520	C₂³	1	16	yes	—
417	#520	C₂³	1	16	yes	—
418	#520	C₂³	1	16	yes	—
419	#520	C₂³	1	48	yes	complemented
420	#520	C₂³	1	48	yes	complemented
421	#520	C₂³	1	96	yes	complemented
422	#520	C₂³	1	32	yes	complemented
423	#520	C₂³	1	48	yes	complemented
424	#520	C₂³	1	48	yes	complemented
425	#520	C₂³	1	48	yes	complemented
426	#520	C₂³	1	96	yes	complemented
427	#519	C₂³	1	32	yes	complemented
428	#519	C₂³	1	48	yes	complemented
429	#519	C₂³	1	32	yes	complemented
430	#518	C₂³	1	96	yes	complemented
431	C₄×#41	C₂³	1	16	yes	—
432	C₄×#41	C₂³	1	96	yes	complemented
433	C₄×#41	C₂³	1	32	yes	complemented
434	C₄×#41	C₂³	1	48	yes	complemented
435	C₄×#41	C₂³	1	96	yes	complemented
436	C₄×#41	C₂³	1	96	yes	complemented
437	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
438	C₂×C₄×Q₈	C₂³	1	2	yes	—
439	C₂×C₄×Q₈	C₂³	1	3	yes	—
440	C₂×C₄×Q₈	C₂³	1	6	yes	—
441	C₂×C₄×Q₈	C₂³	1	6	yes	—
442	C₂×C₄×Q₈	C₂³	1	6	yes	—
443	C₂×C₄×Q₈	C₂³	1	6	yes	—
444	C₂×C₄×Q₈	C₂³	1	2	yes	—
445	C₂×C₄×Q₈	C₂³	1	6	yes	—
446	C₂×C₄×Q₈	C₂³	1	6	yes	—
447	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
448	C₂×C₄×Q₈	C₂³	1	6	yes	—
449	C₂×C₄×Q₈	C₂³	1	3	yes	—
450	C₂×C₄×Q₈	C₂³	1	2	yes	—
451	C₂×C₄×Q₈	C₂³	1	6	yes	—
452	C₂×C₄×Q₈	C₂³	1	6	yes	—
453	C₂×C₄×Q₈	C₂³	1	6	yes	—
454	C₂×C₄×Q₈	C₂³	1	6	yes	—
455	C₂×C₄×Q₈	C₂³	1	6	yes	—
456	C₂×C₄×Q₈	C₂³	1	12	yes	—
457	C₂×C₄×Q₈	C₂³	1	32	yes	complemented
458	C₂×C₄×Q₈	C₂³	1	48	yes	complemented
459	C₂×C₄×Q₈	C₂³	1	32	yes	complemented
460	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
461	C₂×C₄×D₄	C₂³	1	3	yes	—
462	C₂×C₄×D₄	C₂³	1	3	yes	—
463	C₂×C₄×D₄	C₂³	1	3	yes	—
464	C₂×C₄×D₄	C₂³	1	3	yes	—
465	C₂×C₄×D₄	C₂³	1	3	yes	—
466	C₂×C₄×D₄	C₂³	1	3	yes	—
467	C₂×C₄×D₄	C₂³	1	3	yes	—
468	C₂×C₄×D₄	C₂³	1	48	yes	—
469	C₂×C₄×D₄	C₂³	1	6	yes	—
470	C₂×C₄×D₄	C₂³	1	6	yes	—
471	C₂×C₄×D₄	C₂³	1	12	yes	—
472	C₂×C₄×D₄	C₂³	1	6	yes	—
473	C₂×C₄×D₄	C₂³	1	12	yes	—
474	C₂×C₄×D₄	C₂³	1	6	yes	—
475	C₂×C₄×D₄	C₂³	1	3	yes	—
476	C₂×C₄×D₄	C₂³	1	3	yes	—
477	C₂×C₄×D₄	C₂³	1	2	yes	—
478	C₂×C₄×D₄	C₂³	1	6	yes	—
479	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
480	C₂×C₄×D₄	C₂³	1	6	yes	—
481	C₂×C₄×D₄	C₂³	1	12	yes	—
482	C₂×C₄×D₄	C₂³	1	6	yes	—
483	C₂×C₄×D₄	C₂³	1	6	yes	—
484	C₂×C₄×D₄	C₂³	1	12	yes	—
485	C₂×C₄×D₄	C₂³	1	12	yes	—
486	C₂×C₄×D₄	C₂³	1	6	yes	—
487	C₂×C₄×D₄	C₂³	1	3	yes	—
488	C₂×C₄×D₄	C₂³	1	6	yes	—
489	C₂×C₄×D₄	C₂³	1	6	yes	—
490	C₂×C₄×D₄	C₂³	1	6	yes	—
491	C₂×C₄×D₄	C₂³	1	6	yes	—
492	C₂×C₄×D₄	C₂³	1	6	yes	—
493	C₂×C₄×D₄	C₂³	1	6	yes	—
494	C₂×C₄×D₄	C₂³	1	6	yes	—
495	C₂×C₄×D₄	C₂³	1	12	yes	—
496	C₂×C₄×D₄	C₂³	1	12	yes	—
497	C₂×C₄×D₄	C₂³	1	96	yes	complemented
498	C₂×#117	C₂³	1	3	yes	—
499	C₂×#117	C₂³	1	1	yes	characteristic
500	C₂×#117	C₂³	1	3	yes	—
501	C₂×#117	C₂³	1	6	yes	—
502	C₂×#117	C₂³	1	6	yes	—
503	C₂×#117	C₂³	1	6	yes	—
504	C₂×#117	C₂³	1	6	yes	—
505	C₂×#117	C₂³	1	6	yes	—
506	C₂×#117	C₂³	1	3	yes	—
507	C₂×#117	C₂³	1	3	yes	—
508	C₂×#117	C₂³	1	6	yes	—
509	C₂×#117	C₂³	1	6	yes	—
510	C₂×#117	C₂³	1	6	yes	—
511	C₂×#117	C₂³	1	3	yes	—
512	C₂×#117	C₂³	1	3	yes	—
513	C₂×#117	C₂³	1	12	yes	—
514	C₂×#117	C₂³	1	12	yes	—
515	C₂×#117	C₂³	1	12	yes	—
516	C₂×#117	C₂³	1	3	yes	—
517	C₂×#117	C₂³	1	6	yes	—
518	C₂×#117	C₂³	1	12	yes	—
519	C₂×#117	C₂³	1	6	yes	—
520	C₂×#117	C₂³	1	6	yes	—
521	C₂×#117	C₂³	1	6	yes	—
522	C₂×#117	C₂³	1	12	yes	—
523	C₂×#117	C₂³	1	48	yes	complemented
524	C₂×#117	C₂³	1	48	yes	complemented
525	C₂×#117	C₂³	1	48	yes	complemented
526	C₂×#117	C₂³	1	96	yes	complemented
527	C₂²×C₄⋊C₄	C₂³	1	3	yes	—
528	C₂²×C₄⋊C₄	C₂³	1	3	yes	—
529	C₂²×C₄⋊C₄	C₂³	1	6	yes	—
530	C₂²×C₄⋊C₄	C₂³	1	3	yes	—
531	C₂²×C₄⋊C₄	C₂³	1	6	yes	—
532	C₂²×C₄⋊C₄	C₂³	1	6	yes	—
533	C₂²×C₄⋊C₄	C₂³	1	6	yes	—
534	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
535	C₂²×C₄⋊C₄	C₂³	1	3	yes	—
536	C₂²×C₄⋊C₄	C₂³	1	3	yes	—
537	C₂²×C₄⋊C₄	C₂³	1	3	yes	—
538	C₂²×C₄⋊C₄	C₂³	1	6	yes	—
539	C₂²×C₄⋊C₄	C₂³	1	6	yes	—
540	C₂²×C₄⋊C₄	C₂³	1	3	yes	—
541	C₂²×C₄⋊C₄	C₂³	1	6	yes	—
542	C₂²×C₄⋊C₄	C₂³	1	6	yes	—
543	C₂²×C₄⋊C₄	C₂³	1	6	yes	—
544	C₂²×C₄⋊C₄	C₂³	1	6	yes	—
545	C₂²×C₄⋊C₄	C₂³	1	48	yes	complemented
546	C₂²×C₂²⋊C₄	C₂³	1	3	yes	—
547	C₂²×C₂²⋊C₄	C₂³	1	6	yes	—
548	C₂²×C₂²⋊C₄	C₂³	1	6	yes	—
549	C₂²×C₂²⋊C₄	C₂³	1	6	yes	—
550	C₂²×C₂²⋊C₄	C₂³	1	6	yes	—
551	C₂²×C₂²⋊C₄	C₂³	1	3	yes	—
552	C₂²×C₂²⋊C₄	C₂³	1	6	yes	—
553	C₂²×C₄²	C₂³	1	6	yes	—
554	C₂²×C₄²	C₂³	1	6	yes	—
555	C₂²×C₄²	C₂³	1	6	yes	—
556	C₂²×C₄²	C₂³	1	6	yes	—
557	C₂²×C₄²	C₂³	1	3	yes	—
558	C₂²×C₄²	C₂³	1	6	yes	—
559	C₂⁵	C₂⁴	1	3	yes	—
560	C₂⁵	C₂⁴	1	3	yes	—
561	2₋¹⁺⁴	—	2	128	no	—
562	C₂×#41	—	2	128	no	—
563	C₂×#41	—	2	128	no	—
564	C₂×#41	—	2	8	no	—
565	C₂×#41	—	2	8	no	—
566	C₂×#41	—	2	24	no	—
567	C₂×#41	—	2	24	no	—
568	C₂×#41	—	2	48	no	—
569	C₂×#41	—	2	24	no	—
570	C₂×#41	—	2	24	no	—
571	C₂×#41	—	2	24	no	—
572	C₂×#41	—	4	24	no	—
573	C₂×#41	#41	1	16	yes	complemented
574	C₂×#41	C₂⁴	1	24	yes	—
575	C₂×#41	C₂⁴	1	8	yes	—
576	C₂×#41	C₂⁴	1	24	yes	—
577	C₂×#41	C₂⁴	1	48	yes	—
578	C₂×#41	C₂⁴	1	24	yes	—
579	C₂×#41	C₂⁴	1	24	yes	—
580	C₂×#41	C₂⁴	1	24	yes	—
581	C₂×#41	C₂⁴	1	8	yes	—
582	C₂×#41	C₂⁴	1	48	yes	—
583	C₂×#41	C₂⁴	1	8	yes	—
584	C₂²×Q₈	—	2	8	no	—
585	C₂²×Q₈	—	2	8	no	—
586	C₂²×Q₈	—	2	16	no	—
587	C₂²×Q₈	—	2	24	no	—
588	C₂²×Q₈	C₂⁴	1	3	yes	—
589	C₂²×Q₈	C₂⁴	1	6	yes	—
590	C₂²×Q₈	C₂⁴	1	3	yes	—
591	C₂²×Q₈	C₂⁴	1	3	yes	—
592	C₂²×Q₈	C₂⁴	1	8	yes	—
593	C₂²×Q₈	C₂⁴	1	24	yes	—
594	C₂²×Q₈	C₂⁴	1	16	yes	—
595	C₂²×Q₈	C₂⁴	1	8	yes	—
596	C₂²×Q₈	C₂⁴	1	6	yes	—
597	C₂²×Q₈	C₂⁴	1	6	yes	—
598	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
599	C₂²×D₄	—	2	24	no	—
600	C₂²×D₄	—	2	24	no	—
601	C₂²×D₄	—	4	12	no	—
602	C₂²×D₄	C₂⁴	1	2	yes	—
603	C₂²×D₄	C₂⁴	1	6	yes	—
604	C₂²×D₄	C₂⁴	1	3	yes	—
605	C₂²×D₄	C₂⁴	1	6	yes	—
606	C₂²×D₄	C₂⁴	1	6	yes	—
607	C₂²×D₄	C₂⁴	1	1	yes	characteristic
608	C₂²×D₄	C₂⁴	1	3	yes	—
609	C₂²×D₄	C₂⁴	1	3	yes	—
610	C₂²×D₄	C₂⁴	1	1	yes	characteristic
611	C₂²×D₄	C₂⁴	1	24	yes	—
612	C₂²×D₄	C₂⁴	1	24	yes	—
613	C₂²×D₄	C₂⁴	1	2	yes	—
614	C₂²×D₄	C₂⁴	1	6	yes	—
615	C₂²×D₄	C₂⁴	1	6	yes	—
616	C₂²×D₄	C₂⁴	1	3	yes	—
617	C₂²×D₄	C₂⁴	1	6	yes	—
618	C₂²×D₄	C₂⁴	1	3	yes	—
619	C₂²×D₄	C₂⁴	1	24	yes	—
620	C₂²×D₄	C₂⁴	1	3	yes	—
621	C₂³×C₄	—	2	24	no	—
622	C₂³×C₄	—	2	24	no	—
623	C₂³×C₄	—	4	24	no	—
624	C₂³×C₄	C₂⁴	1	6	yes	—
625	C₂³×C₄	C₂⁴	1	3	yes	—
626	C₂³×C₄	C₂⁴	1	6	yes	—
627	C₂³×C₄	C₂⁴	1	3	yes	—
628	C₂³×C₄	C₂⁴	1	1	yes	characteristic
629	C₂³×C₄	C₂⁴	1	3	yes	—
630	C₂³×C₄	C₂⁴	1	3	yes	—
631	C₂³×C₄	C₂⁴	1	3	yes	—
632	C₂³×C₄	C₂⁴	1	3	yes	—
633	C₂³×C₄	C₂⁴	1	6	yes	—
634	C₂³×C₄	C₂⁴	1	24	yes	—
635	C₂³×C₄	C₂⁴	1	1	yes	characteristic
636	C₂³×C₄	C₂⁴	1	3	yes	—
637	C₂³×C₄	C₂⁴	1	3	yes	—
638	C₂³×C₄	C₂⁴	1	24	yes	—
639	C₂³×C₄	C₂⁴	1	2	yes	—
640	C₂³×C₄	C₂⁴	1	6	yes	—
641	C₂³×C₄	C₂⁴	1	3	yes	—
642	C₂³×C₄	C₂⁴	1	6	yes	—
643	C₂³×C₄	C₂⁴	1	6	yes	—
644	C₂³×C₄	C₂⁴	1	6	yes	—
645	C₂³×C₄	C₂⁴	1	6	yes	—
646	C₂³×C₄	C₂⁴	1	3	yes	—
647	C₂³×C₄	C₂⁴	1	12	yes	—
648	C₂³×C₄	C₂⁴	1	6	yes	—
649	C₂³×C₄	C₂⁴	1	48	yes	—
650	C₂³×C₄	C₂⁴	1	2	yes	—
651	C₂³×C₄	C₂⁴	1	3	yes	—
652	C₄⋊Q₈	C₂⁴	1	24	yes	—
653	C₄⋊Q₈	C₂⁴	1	48	yes	—
654	C₄⋊Q₈	C₂⁴	1	48	yes	—
655	C₄⋊Q₈	C₂⁴	1	48	yes	—
656	C₄⋊Q₈	C₂⁴	1	48	yes	—
657	C₄⋊Q₈	C₂⁴	1	24	yes	—
658	C₄⋊Q₈	C₂⁴	1	24	yes	—
659	#127	C₂⁴	1	24	yes	—
660	#126	C₂⁴	1	48	yes	—
661	#126	C₂⁴	1	96	yes	—
662	#126	C₂⁴	1	96	yes	—
663	#126	C₂⁴	1	96	yes	—
664	#126	C₂⁴	1	48	yes	—
665	#126	C₂⁴	1	48	yes	—
666	#126	C₂⁴	1	48	yes	—
667	#126	C₂⁴	1	48	yes	—
668	#126	C₂⁴	1	16	yes	—
669	#126	C₂⁴	1	96	yes	—
670	#126	C₂⁴	1	96	yes	—
671	#126	C₂⁴	1	96	yes	—
672	#126	C₂⁴	1	96	yes	—
673	#125	C₂⁴	1	48	yes	—
674	#125	C₂⁴	1	24	yes	—
675	#125	C₂⁴	1	48	yes	—
676	#125	C₂⁴	1	96	yes	—
677	#125	C₂⁴	1	96	yes	—
678	#125	C₂⁴	1	96	yes	—
679	#125	C₂⁴	1	48	yes	—
680	#125	C₂⁴	1	48	yes	—
681	#125	C₂⁴	1	48	yes	—
682	#125	C₂⁴	1	96	yes	—
683	#125	C₂⁴	1	48	yes	—
684	#125	C₂⁴	1	48	yes	—
685	#125	C₂⁴	1	48	yes	—
686	#125	C₂⁴	1	8	yes	—
687	#125	C₂⁴	1	96	yes	—
688	#124	C₂⁴	1	48	yes	—
689	#124	C₂⁴	1	48	yes	—
690	#124	C₂⁴	1	24	yes	—
691	#124	C₂⁴	1	24	yes	—
692	#124	C₂⁴	1	48	yes	—
693	#124	C₂⁴	1	48	yes	—
694	#124	C₂⁴	1	96	yes	—
695	#124	C₂⁴	1	48	yes	—
696	#123	C₂⁴	1	48	yes	—
697	#123	C₂⁴	1	96	yes	—
698	#123	C₂⁴	1	96	yes	—
699	#123	C₂⁴	1	96	yes	—
700	#123	C₂⁴	1	48	yes	—
701	#123	C₂⁴	1	48	yes	—
702	#123	C₂⁴	1	48	yes	—
703	#123	C₂⁴	1	48	yes	—
704	#123	C₂⁴	1	48	yes	—
705	#123	C₂⁴	1	16	yes	—
706	#123	C₂⁴	1	48	yes	—
707	#123	C₂⁴	1	96	yes	—
708	#123	C₂⁴	1	96	yes	—
709	#123	C₂⁴	1	96	yes	—
710	#123	C₂⁴	1	48	yes	—
711	#123	C₂⁴	1	48	yes	—
712	#123	C₂⁴	1	96	yes	—
713	C₂²⋊Q₈	C₂⁴	1	24	yes	—
714	C₂²⋊Q₈	C₂⁴	1	24	yes	—
715	C₂²⋊Q₈	C₂⁴	1	48	yes	—
716	C₂²⋊Q₈	C₂⁴	1	48	yes	—
717	C₂²⋊Q₈	C₂⁴	1	48	yes	—
718	C₂²⋊Q₈	C₂⁴	1	48	yes	—
719	C₂²⋊Q₈	C₂⁴	1	48	yes	—
720	C₂²⋊Q₈	C₂⁴	1	48	yes	—
721	C₂²⋊Q₈	C₂⁴	1	24	yes	—
722	C₂²⋊Q₈	C₂⁴	1	24	yes	—
723	C₂²⋊Q₈	C₂⁴	1	24	yes	—
724	C₂²⋊Q₈	C₂⁴	1	24	yes	—
725	C₂²⋊Q₈	C₂⁴	1	24	yes	—
726	C₂²⋊Q₈	C₂⁴	1	24	yes	—
727	C₂²⋊Q₈	C₂⁴	1	96	yes	—
728	C₂²⋊Q₈	C₂⁴	1	96	yes	—
729	C₂²⋊Q₈	C₂⁴	1	48	yes	—
730	C₂²⋊Q₈	C₂⁴	1	48	yes	—
731	C₂²⋊Q₈	C₂⁴	1	48	yes	—
732	C₂²⋊Q₈	C₂⁴	1	48	yes	—
733	C₂²⋊Q₈	C₂⁴	1	96	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	96	yes	—
738	#121	C₂⁴	1	24	yes	—
739	#121	C₂⁴	1	24	yes	—
740	#121	C₂⁴	1	24	yes	—
741	#121	C₂⁴	1	24	yes	—
742	#121	C₂⁴	1	8	yes	—
743	#121	C₂⁴	1	8	yes	—
744	#121	C₂⁴	1	24	yes	—
745	#121	C₂⁴	1	24	yes	—
746	#121	C₂⁴	1	96	yes	—
747	#121	C₂⁴	1	96	yes	—
748	#121	C₂⁴	1	16	yes	—
749	#121	C₂⁴	1	48	yes	—
750	#121	C₂⁴	1	96	yes	—
751	#121	C₂⁴	1	48	yes	—
752	#121	C₂⁴	1	48	yes	—
753	#121	C₂⁴	1	48	yes	—
754	#121	C₂⁴	1	48	yes	—
755	#121	C₂⁴	1	48	yes	—
756	#120	C₂⁴	1	48	yes	—
757	#120	C₂⁴	1	48	yes	—
758	#120	C₂⁴	1	48	yes	—
759	#120	C₂⁴	1	48	yes	—
760	C₄×Q₈	C₂⁴	1	8	yes	—
761	C₄×Q₈	C₂⁴	1	16	yes	—
762	C₄×Q₈	C₂⁴	1	24	yes	—
763	C₄×Q₈	C₂⁴	1	48	yes	—
764	C₄×Q₈	C₂⁴	1	48	yes	—
765	C₄×Q₈	C₂⁴	1	48	yes	—
766	C₄×Q₈	C₂⁴	1	48	yes	—
767	C₄×Q₈	C₂⁴	1	16	yes	—
768	C₄×Q₈	C₂⁴	1	48	yes	—
769	C₄×Q₈	C₂⁴	1	48	yes	—
770	C₄×Q₈	C₂⁴	1	8	yes	—
771	C₄×Q₈	C₂⁴	1	48	yes	—
772	C₄×Q₈	C₂⁴	1	24	yes	—
773	C₄×Q₈	C₂⁴	1	16	yes	—
774	C₄×Q₈	C₂⁴	1	48	yes	—
775	C₄×Q₈	C₂⁴	1	48	yes	—
776	C₄×Q₈	C₂⁴	1	48	yes	—
777	C₄×Q₈	C₂⁴	1	48	yes	—
778	C₄×Q₈	C₂⁴	1	48	yes	—
779	C₄×Q₈	C₂⁴	1	96	yes	—
780	C₄×D₄	C₂⁴	1	8	yes	—
781	C₄×D₄	C₂⁴	1	24	yes	—
782	C₄×D₄	C₂⁴	1	24	yes	—
783	C₄×D₄	C₂⁴	1	24	yes	—
784	C₄×D₄	C₂⁴	1	24	yes	—
785	C₄×D₄	C₂⁴	1	24	yes	—
786	C₄×D₄	C₂⁴	1	24	yes	—
787	C₄×D₄	C₂⁴	1	24	yes	—
788	C₄×D₄	C₂⁴	1	48	yes	—
789	C₄×D₄	C₂⁴	1	48	yes	—
790	C₄×D₄	C₂⁴	1	96	yes	—
791	C₄×D₄	C₂⁴	1	48	yes	—
792	C₄×D₄	C₂⁴	1	96	yes	—
793	C₄×D₄	C₂⁴	1	48	yes	—
794	C₄×D₄	C₂⁴	1	24	yes	—
795	C₄×D₄	C₂⁴	1	24	yes	—
796	C₄×D₄	C₂⁴	1	16	yes	—
797	C₄×D₄	C₂⁴	1	48	yes	—
798	C₄×D₄	C₂⁴	1	8	yes	—
799	C₄×D₄	C₂⁴	1	48	yes	—
800	C₄×D₄	C₂⁴	1	96	yes	—
801	C₄×D₄	C₂⁴	1	48	yes	—
802	C₄×D₄	C₂⁴	1	48	yes	—
803	C₄×D₄	C₂⁴	1	96	yes	—
804	C₄×D₄	C₂⁴	1	96	yes	—
805	C₄×D₄	C₂⁴	1	48	yes	—
806	C₄×D₄	C₂⁴	1	24	yes	—
807	C₄×D₄	C₂⁴	1	48	yes	—
808	C₄×D₄	C₂⁴	1	48	yes	—
809	C₄×D₄	C₂⁴	1	48	yes	—
810	C₄×D₄	C₂⁴	1	48	yes	—
811	C₄×D₄	C₂⁴	1	48	yes	—
812	C₄×D₄	C₂⁴	1	48	yes	—
813	C₄×D₄	C₂⁴	1	48	yes	—
814	C₄×D₄	C₂⁴	1	96	yes	—
815	C₄×D₄	C₂⁴	1	96	yes	—
816	#117	C₂⁴	1	24	yes	—
817	#117	C₂⁴	1	8	yes	—
818	#117	C₂⁴	1	24	yes	—
819	#117	C₂⁴	1	48	yes	—
820	#117	C₂⁴	1	48	yes	—
821	#117	C₂⁴	1	48	yes	—
822	#117	C₂⁴	1	48	yes	—
823	#117	C₂⁴	1	48	yes	—
824	#117	C₂⁴	1	24	yes	—
825	#117	C₂⁴	1	24	yes	—
826	#117	C₂⁴	1	48	yes	—
827	#117	C₂⁴	1	48	yes	—
828	#117	C₂⁴	1	48	yes	—
829	#117	C₂⁴	1	24	yes	—
830	#117	C₂⁴	1	24	yes	—
831	#117	C₂⁴	1	96	yes	—
832	#117	C₂⁴	1	96	yes	—
833	#117	C₂⁴	1	96	yes	—
834	#117	C₂⁴	1	24	yes	—
835	#117	C₂⁴	1	48	yes	—
836	#117	C₂⁴	1	96	yes	—
837	#117	C₂⁴	1	48	yes	—
838	#117	C₂⁴	1	48	yes	—
839	#117	C₂⁴	1	48	yes	—
840	#117	C₂⁴	1	96	yes	—
841	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
842	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
843	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
844	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
845	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
846	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
847	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
848	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
849	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
850	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
851	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
852	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
853	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
854	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
855	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
856	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
857	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
858	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
859	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
860	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
861	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
862	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
863	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
864	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
865	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
866	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
867	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
868	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
869	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
870	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
871	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
872	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
873	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
874	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
875	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
876	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
877	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
878	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
879	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
880	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
881	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
882	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
883	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
884	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
885	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
886	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
887	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
888	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
889	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
890	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
891	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
892	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
893	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
894	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
895	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
896	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
897	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
898	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
899	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
900	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
901	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
902	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
903	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
904	C₂×C₂²⋊C₄	C₂⁴	1	3	yes	—
905	C₂×C₂²⋊C₄	C₂⁴	1	3	yes	—
906	C₂×C₂²⋊C₄	C₂⁴	1	3	yes	—
907	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
908	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
909	C₂×C₂²⋊C₄	C₂⁴	1	3	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	12	yes	—
914	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
915	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
916	C₂×C₂²⋊C₄	C₂⁴	1	48	yes	—
917	C₂×C₂²⋊C₄	C₂⁴	1	48	yes	—
918	C₂×C₂²⋊C₄	C₂⁴	1	48	yes	—
919	C₂×C₂²⋊C₄	C₂⁴	1	48	yes	—
920	C₂×C₂²⋊C₄	C₂⁴	1	3	yes	—
921	C₂×C₂²⋊C₄	C₂⁴	1	3	yes	—
922	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
923	C₂×C₂²⋊C₄	C₂⁴	1	48	yes	—
924	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
925	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
926	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
927	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
928	C₂×C₂²⋊C₄	C₂⁴	1	6	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	6	yes	—
934	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
935	C₂×C₄²	C₂⁴	1	6	yes	—
936	C₂×C₄²	C₂⁴	1	6	yes	—
937	C₂×C₄²	C₂⁴	1	6	yes	—
938	C₂×C₄²	C₂⁴	1	12	yes	—
939	C₂×C₄²	C₂⁴	1	6	yes	—
940	C₂×C₄²	C₂⁴	1	6	yes	—
941	C₂×C₄²	C₂⁴	1	12	yes	—
942	C₂×C₄²	C₂⁴	1	2	yes	—
943	C₂×C₄²	C₂⁴	1	6	yes	—
944	C₂×C₄²	C₂⁴	1	3	yes	—
945	C₂×C₄²	C₂⁴	1	6	yes	—
946	C₂×C₄²	C₂⁴	1	6	yes	—
947	C₂×C₄²	C₂⁴	1	3	yes	—
948	C₂×C₄²	C₂⁴	1	48	yes	—
949	C₂×C₄²	C₂⁴	1	48	yes	—
950	C₂×C₄²	C₂⁴	1	48	yes	—
951	C₂×C₄²	C₂⁴	1	48	yes	—
952	C₂×C₄²	C₂⁴	1	1	yes	characteristic
953	C₂×C₄²	C₂⁴	1	3	yes	—
954	C₂×C₄²	C₂⁴	1	24	yes	—
955	C₂×C₄²	C₂⁴	1	48	yes	—
956	C₂⁴	—	2	12	no	—
957	C₂⁴	—	2	12	no	—
958	C₂⁴	—	2	12	no	—
959	C₂⁴	—	4	6	no	—
960	C₂⁴	—	4	6	no	—
961	C₂⁴	—	4	6	no	—
962	C₂⁴	C₂⁵	1	1	yes	characteristic
963	C₂⁴	C₂⁵	1	3	yes	—
964	C₂⁴	C₂⁵	1	3	yes	—
965	C₂⁴	C₂⁵	1	2	yes	—
966	C₂⁴	C₂⁵	1	12	yes	—
967	C₂⁴	C₂⁵	1	3	yes	—
968	C₂⁴	C₂⁵	1	1	yes	characteristic
969	C₂⁴	C₂⁵	1	12	yes	—
970	#41	—	2	32	no	—
971	#41	—	2	32	no	—
972	#41	—	2	96	no	—
973	#41	—	2	96	no	—
974	#41	—	2	192	no	—
975	#41	—	2	96	no	—
976	#41	—	2	96	no	—
977	#41	—	2	96	no	—
978	#41	—	4	96	no	—
979	#41	C₂×#41	1	64	yes	complemented
980	C₂×Q₈	—	2	32	no	—
981	C₂×Q₈	—	2	32	no	—
982	C₂×Q₈	—	2	64	no	—
983	C₂×Q₈	—	2	12	no	—
984	C₂×Q₈	—	2	24	no	—
985	C₂×Q₈	—	2	12	no	—
986	C₂×Q₈	—	2	12	no	—
987	C₂×Q₈	—	2	96	no	—
988	C₂×Q₈	—	4	12	no	—
989	C₂×Q₈	—	4	12	no	—
990	C₂×Q₈	C₂×#41	1	8	yes	—
991	C₂×Q₈	C₂⁵	1	12	yes	—
992	C₂×Q₈	C₂⁵	1	24	yes	—
993	C₂×Q₈	C₂⁵	1	12	yes	—
994	C₂×Q₈	C₂⁵	1	12	yes	—
995	C₂×Q₈	C₂⁵	1	24	yes	—
996	C₂×Q₈	C₂⁵	1	24	yes	—
997	C₂×Q₈	C₂⁵	1	4	yes	—
998	C₂×D₄	—	2	24	no	—
999	C₂×D₄	—	2	24	no	—
1000	C₂×D₄	—	2	24	no	—
1001	C₂×D₄	—	2	4	no	—
1002	C₂×D₄	—	2	12	no	—
1003	C₂×D₄	—	2	8	no	—
1004	C₂×D₄	—	2	96	no	—
1005	C₂×D₄	—	2	96	no	—
1006	C₂×D₄	—	2	12	no	—
1007	C₂×D₄	—	2	12	no	—
1008	C₂×D₄	—	2	4	no	—
1009	C₂×D₄	—	4	6	no	—
1010	C₂×D₄	—	4	6	no	—
1011	C₂×D₄	—	4	12	no	—
1012	C₂×D₄	—	4	12	no	—
1013	C₂×D₄	—	4	4	no	—
1014	C₂×D₄	—	4	12	no	—
1015	C₂×D₄	—	4	48	no	—
1016	C₂×D₄	C₂×#41	1	24	yes	—
1017	C₂×D₄	C₂⁵	1	8	yes	—
1018	C₂×D₄	C₂⁵	1	24	yes	—
1019	C₂×D₄	C₂⁵	1	12	yes	—
1020	C₂×D₄	C₂⁵	1	24	yes	—
1021	C₂×D₄	C₂⁵	1	24	yes	—
1022	C₂×D₄	C₂⁵	1	4	yes	—
1023	C₂×D₄	C₂⁵	1	12	yes	—
1024	C₂×D₄	C₂⁵	1	12	yes	—
1025	C₂×D₄	C₂⁵	1	4	yes	—
1026	C₂×D₄	C₂⁵	1	8	yes	—
1027	C₂×D₄	C₂⁵	1	24	yes	—
1028	C₂×D₄	C₂⁵	1	24	yes	—
1029	C₂×D₄	C₂⁵	1	12	yes	—
1030	C₂×D₄	C₂⁵	1	24	yes	—
1031	C₂×D₄	C₂⁵	1	12	yes	—
1032	C₂×D₄	C₂⁵	1	12	yes	—
1033	C₂²×C₄	—	2	12	no	—
1034	C₂²×C₄	—	2	12	no	—
1035	C₂²×C₄	—	2	24	no	—
1036	C₂²×C₄	—	2	24	no	—
1037	C₂²×C₄	—	2	4	no	—
1038	C₂²×C₄	—	2	4	no	—
1039	C₂²×C₄	—	2	12	no	—
1040	C₂²×C₄	—	2	12	no	—
1041	C₂²×C₄	—	2	12	no	—
1042	C₂²×C₄	—	2	12	no	—
1043	C₂²×C₄	—	2	12	no	—
1044	C₂²×C₄	—	2	12	no	—
1045	C₂²×C₄	—	2	96	no	—
1046	C₂²×C₄	—	2	96	no	—
1047	C₂²×C₄	—	2	24	no	—
1048	C₂²×C₄	—	4	12	no	—
1049	C₂²×C₄	—	4	24	no	—
1050	C₂²×C₄	—	4	12	no	—
1051	C₂²×C₄	—	4	96	no	—
1052	C₂²×C₄	—	4	4	no	—
1053	C₂²×C₄	—	4	12	no	—
1054	C₂²×C₄	—	4	6	no	—
1055	C₂²×C₄	—	4	4	no	—
1056	C₂²×C₄	—	4	12	no	—
1057	C₂²×C₄	—	4	6	no	—
1058	C₂²×C₄	—	4	12	no	—
1059	C₂²×C₄	—	4	12	no	—
1060	C₂²×C₄	C₂×#41	1	24	yes	—
1061	C₂²×C₄	C₂⁵	1	12	yes	—
1062	C₂²×C₄	C₂⁵	1	12	yes	—
1063	C₂²×C₄	C₂⁵	1	12	yes	—
1064	C₂²×C₄	C₂⁵	1	24	yes	—
1065	C₂²×C₄	C₂⁵	1	24	yes	—
1066	C₂²×C₄	C₂⁵	1	24	yes	—
1067	C₂²×C₄	C₂⁵	1	12	yes	—
1068	C₂²×C₄	C₂⁵	1	4	yes	—
1069	C₂²×C₄	C₂⁵	1	12	yes	—
1070	C₂²×C₄	C₂⁵	1	12	yes	—
1071	C₂²×C₄	C₂⁵	1	12	yes	—
1072	C₂²×C₄	C₂⁵	1	4	yes	—
1073	C₂²×C₄	C₂⁵	1	12	yes	—
1074	C₂²×C₄	C₂⁵	1	2	yes	—
1075	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1076	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1077	C₂²×C₄	C₂⁵	1	6	yes	—
1078	C₂²×C₄	C₂⁵	1	2	yes	—
1079	C₂²×C₄	C₂⁵	1	3	yes	—
1080	C₂²×C₄	C₂⁵	1	6	yes	—
1081	C₂²×C₄	C₂⁵	1	6	yes	—
1082	C₂²×C₄	C₂⁵	1	2	yes	—
1083	C₂²×C₄	C₂⁵	1	3	yes	—
1084	C₂²×C₄	C₂⁵	1	3	yes	—
1085	C₂²×C₄	C₂⁵	1	3	yes	—
1086	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1087	C₂²×C₄	C₂⁵	1	6	yes	—
1088	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1089	C₂²×C₄	C₂⁵	1	8	yes	—
1090	C₂²×C₄	C₂⁵	1	12	yes	—
1091	C₂²×C₄	C₂⁵	1	8	yes	—
1092	C₂²×C₄	C₂⁵	1	24	yes	—
1093	C₂²×C₄	C₂⁵	1	24	yes	—
1094	C₂²×C₄	C₂⁵	1	24	yes	—
1095	C₂²×C₄	C₂⁵	1	24	yes	—
1096	C₂²×C₄	C₂⁵	1	12	yes	—
1097	C₂²×C₄	C₂⁵	1	24	yes	—
1098	C₂²×C₄	C₂⁵	1	24	yes	—
1099	C₂²×C₄	C₂⁵	1	48	yes	—
1100	C₂²×C₄	C₂⁵	1	12	yes	—
1101	C₂²×C₄	C₂⁵	1	3	yes	—
1102	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1103	C₄⋊C₄	C₂⁵	1	12	yes	—
1104	C₄⋊C₄	C₂⁵	1	12	yes	—
1105	C₄⋊C₄	C₂⁵	1	24	yes	—
1106	C₄⋊C₄	C₂⁵	1	4	yes	—
1107	C₄⋊C₄	C₂⁵	1	24	yes	—
1108	C₄⋊C₄	C₂⁵	1	12	yes	—
1109	C₄⋊C₄	C₂⁵	1	4	yes	—
1110	C₄⋊C₄	C₂⁵	1	4	yes	—
1111	C₄⋊C₄	C₂⁵	1	24	yes	—
1112	C₄⋊C₄	C₂⁵	1	48	yes	—
1113	C₄⋊C₄	C₂⁵	1	24	yes	—
1114	C₄⋊C₄	C₂⁵	1	24	yes	—
1115	C₄⋊C₄	C₂⁵	1	12	yes	—
1116	C₄⋊C₄	C₂⁵	1	48	yes	—
1117	C₄⋊C₄	C₂⁵	1	24	yes	—
1118	C₄⋊C₄	C₂⁵	1	24	yes	—
1119	C₄⋊C₄	C₂⁵	1	24	yes	—
1120	C₄⋊C₄	C₂⁵	1	4	yes	—
1121	C₄⋊C₄	C₂⁵	1	8	yes	—
1122	C₄⋊C₄	C₂⁵	1	24	yes	—
1123	C₄⋊C₄	C₂⁵	1	24	yes	—
1124	C₄⋊C₄	C₂⁵	1	12	yes	—
1125	C₄⋊C₄	C₂⁵	1	24	yes	—
1126	C₄⋊C₄	C₂⁵	1	48	yes	—
1127	C₄⋊C₄	C₂⁵	1	48	yes	—
1128	C₄⋊C₄	C₂⁵	1	48	yes	—
1129	C₄⋊C₄	C₂⁵	1	48	yes	—
1130	C₄⋊C₄	C₂⁵	1	12	yes	—
1131	C₄⋊C₄	C₂⁵	1	12	yes	—
1132	C₄⋊C₄	C₂⁵	1	12	yes	—
1133	C₄⋊C₄	C₂⁵	1	8	yes	—
1134	C₄⋊C₄	C₂⁵	1	24	yes	—
1135	C₄⋊C₄	C₂⁵	1	24	yes	—
1136	C₄⋊C₄	C₂⁵	1	24	yes	—
1137	C₄⋊C₄	C₂⁵	1	24	yes	—
1138	C₄⋊C₄	C₂⁵	1	24	yes	—
1139	C₄⋊C₄	C₂⁵	1	24	yes	—
1140	C₄⋊C₄	C₂⁵	1	8	yes	—
1141	C₂²⋊C₄	C₂⁵	1	4	yes	—
1142	C₂²⋊C₄	C₂⁵	1	24	yes	—
1143	C₂²⋊C₄	C₂⁵	1	8	yes	—
1144	C₂²⋊C₄	C₂⁵	1	4	yes	—
1145	C₂²⋊C₄	C₂⁵	1	24	yes	—
1146	C₂²⋊C₄	C₂⁵	1	24	yes	—
1147	C₂²⋊C₄	C₂⁵	1	24	yes	—
1148	C₂²⋊C₄	C₂⁵	1	12	yes	—
1149	C₂²⋊C₄	C₂⁵	1	12	yes	—
1150	C₂²⋊C₄	C₂⁵	1	12	yes	—
1151	C₂²⋊C₄	C₂⁵	1	24	yes	—
1152	C₂²⋊C₄	C₂⁵	1	24	yes	—
1153	C₂²⋊C₄	C₂⁵	1	12	yes	—
1154	C₂²⋊C₄	C₂⁵	1	24	yes	—
1155	C₂²⋊C₄	C₂⁵	1	48	yes	—
1156	C₂²⋊C₄	C₂⁵	1	24	yes	—
1157	C₂²⋊C₄	C₂⁵	1	48	yes	—
1158	C₂²⋊C₄	C₂⁵	1	48	yes	—
1159	C₂²⋊C₄	C₂⁵	1	12	yes	—
1160	C₂²⋊C₄	C₂⁵	1	12	yes	—
1161	C₂²⋊C₄	C₂⁵	1	24	yes	—
1162	C₂²⋊C₄	C₂⁵	1	8	yes	—
1163	C₂²⋊C₄	C₂⁵	1	24	yes	—
1164	C₂²⋊C₄	C₂⁵	1	8	yes	—
1165	C₂²⋊C₄	C₂⁵	1	24	yes	—
1166	C₂²⋊C₄	C₂⁵	1	24	yes	—
1167	C₂²⋊C₄	C₂⁵	1	24	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	8	yes	—
1172	C₄²	C₂⁵	1	24	yes	—
1173	C₄²	C₂⁵	1	24	yes	—
1174	C₄²	C₂⁵	1	24	yes	—
1175	C₄²	C₂⁵	1	8	yes	—
1176	C₄²	C₂⁵	1	4	yes	—
1177	C₄²	C₂⁵	1	12	yes	—
1178	C₄²	C₂⁵	1	24	yes	—
1179	C₄²	C₂⁵	1	48	yes	—
1180	C₄²	C₂⁵	1	24	yes	—
1181	C₄²	C₂⁵	1	24	yes	—
1182	C₄²	C₂⁵	1	48	yes	—
1183	C₄²	C₂⁵	1	12	yes	—
1184	C₄²	C₂⁵	1	24	yes	—
1185	C₄²	C₂⁵	1	24	yes	—
1186	C₄²	C₂⁵	1	12	yes	—
1187	C₂³	—	2	2	no	—
1188	C₂³	—	2	6	no	—
1189	C₂³	—	2	6	no	—
1190	C₂³	—	2	2	no	—
1191	C₂³	—	2	2	no	—
1192	C₂³	—	2	4	no	—
1193	C₂³	—	2	24	no	—
1194	C₂³	—	2	6	no	—
1195	C₂³	—	2	6	no	—
1196	C₂³	—	2	24	no	—
1197	C₂³	—	2	6	no	—
1198	C₂³	—	2	4	no	—
1199	C₂³	—	2	6	no	—
1200	C₂³	—	2	2	no	—
1201	C₂³	—	2	6	no	—
1202	C₂³	—	2	4	no	—
1203	C₂³	—	2	6	no	—
1204	C₂³	—	2	2	no	—
1205	C₂³	—	2	24	no	—
1206	C₂³	—	4	12	no	—
1207	C₂³	—	4	12	no	—
1208	C₂³	—	4	12	no	—
1209	C₂³	—	4	48	no	—
1210	C₂³	—	8	24	no	—
1211	C₂³	C₂²×#41	1	12	yes	—
1212	C₂³	#585	1	4	yes	—
1213	C₂³	C₂⁶	1	2	yes	—
1214	C₂³	C₂⁶	1	6	yes	—
1215	C₂³	C₂⁶	1	6	yes	—
1216	C₂³	C₂⁶	1	4	yes	—
1217	C₂³	C₂⁶	1	6	yes	—
1218	C₂³	C₂⁶	1	2	yes	—
1219	C₂³	C₂⁶	1	1	yes	characteristic
1220	Q₈	—	2	24	no	—
1221	Q₈	—	2	48	no	—
1222	Q₈	—	2	24	no	—
1223	Q₈	—	2	24	no	—
1224	Q₈	—	4	24	no	—
1225	Q₈	—	4	24	no	—
1226	Q₈	C₂²×#41	1	16	yes	—
1227	D₄	—	2	48	no	—
1228	D₄	—	2	48	no	—
1229	D₄	—	2	48	no	—
1230	D₄	—	2	8	no	—
1231	D₄	—	2	24	no	—
1232	D₄	—	2	16	no	—
1233	D₄	—	2	24	no	—
1234	D₄	—	2	24	no	—
1235	D₄	—	2	8	no	—
1236	D₄	—	4	12	no	—
1237	D₄	—	4	12	no	—
1238	D₄	—	4	24	no	—
1239	D₄	—	4	24	no	—
1240	D₄	—	4	8	no	—
1241	D₄	—	4	24	no	—
1242	D₄	C₂²×#41	1	48	yes	—
1243	C₂×C₄	—	2	2	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	6	no	—
1246	C₂×C₄	—	2	6	no	—
1247	C₂×C₄	—	2	12	no	—
1248	C₂×C₄	—	2	24	no	—
1249	C₂×C₄	—	2	24	no	—
1250	C₂×C₄	—	2	48	no	—
1251	C₂×C₄	—	2	12	no	—
1252	C₂×C₄	—	2	12	no	—
1253	C₂×C₄	—	2	48	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	6	no	—
1256	C₂×C₄	—	2	4	no	—
1257	C₂×C₄	—	2	2	no	—
1258	C₂×C₄	—	2	4	no	—
1259	C₂×C₄	—	2	12	no	—
1260	C₂×C₄	—	2	6	no	—
1261	C₂×C₄	—	2	4	no	—
1262	C₂×C₄	—	2	8	no	—
1263	C₂×C₄	—	2	8	no	—
1264	C₂×C₄	—	2	24	no	—
1265	C₂×C₄	—	2	24	no	—
1266	C₂×C₄	—	2	24	no	—
1267	C₂×C₄	—	2	24	no	—
1268	C₂×C₄	—	2	24	no	—
1269	C₂×C₄	—	2	24	no	—
1270	C₂×C₄	—	2	48	no	—
1271	C₂×C₄	—	4	24	no	—
1272	C₂×C₄	—	4	48	no	—
1273	C₂×C₄	—	4	24	no	—
1274	C₂×C₄	—	4	8	no	—
1275	C₂×C₄	—	4	24	no	—
1276	C₂×C₄	—	4	12	no	—
1277	C₂×C₄	—	4	8	no	—
1278	C₂×C₄	—	4	24	no	—
1279	C₂×C₄	—	4	12	no	—
1280	C₂×C₄	—	4	24	no	—
1281	C₂×C₄	—	4	24	no	—
1282	C₂×C₄	C₂²×#41	1	4	yes	—
1283	C₂×C₄	C₂²×#41	1	12	yes	—
1284	C₂×C₄	C₂²×#41	1	48	yes	—
1285	C₂×C₄	C₂⁶	1	4	yes	—
1286	C₂×C₄	C₂⁶	1	2	yes	—
1287	C₂×C₄	C₂⁶	1	2	yes	—
1288	C₂×C₄	C₂⁶	1	12	yes	—
1289	C₂×C₄	C₂⁶	1	4	yes	—
1290	C₂×C₄	C₂⁶	1	6	yes	—
1291	C₂×C₄	C₂⁶	1	12	yes	—
1292	C₂×C₄	C₂⁶	1	12	yes	—
1293	C₂×C₄	C₂⁶	1	4	yes	—
1294	C₂×C₄	C₂⁶	1	6	yes	—
1295	C₂×C₄	C₂⁶	1	6	yes	—
1296	C₂×C₄	C₂⁶	1	6	yes	—
1297	C₂×C₄	C₂⁶	1	2	yes	—
1298	C₂×C₄	C₂⁶	1	12	yes	—
1299	C₂×C₄	C₂⁶	1	2	yes	—
1300	C₂×C₄	C₂⁶	1	6	yes	—
1301	C₂×C₄	C₂⁶	1	2	yes	—
1302	C₂²	—	2	8	no	—
1303	C₂²	—	2	24	no	—
1304	C₂²	—	2	2	no	—
1305	C₂²	—	2	6	no	—
1306	C₂²	—	2	6	no	—
1307	C₂²	—	2	2	no	—
1308	C₂²	—	2	2	no	—
1309	C₂²	—	2	4	no	—
1310	C₂²	—	2	6	no	—
1311	C₂²	—	2	6	no	—
1312	C₂²	—	2	6	no	—
1313	C₂²	—	2	4	no	—
1314	C₂²	—	2	6	no	—
1315	C₂²	—	2	2	no	—
1316	C₂²	—	2	6	no	—
1317	C₂²	—	2	4	no	—
1318	C₂²	—	2	6	no	—
1319	C₂²	—	2	2	no	—
1320	C₂²	—	4	48	no	—
1321	C₂²	—	4	8	no	—
1322	C₂²	—	4	12	no	—
1323	C₂²	—	4	12	no	—
1324	C₂²	—	4	4	no	—
1325	C₂²	—	8	24	no	—
1326	C₂²	C₂³×#41	1	12	yes	—
1327	C₂²	C₂³×#41	1	2	yes	—
1328	C₂²	C₂×#585	1	4	yes	—
1329	C₂²	C₂×#585	1	2	yes	—
1330	C₂²	2₋¹⁺⁶	1	2	yes	—
1331	C₂²	C₂⁷	1	1	yes	characteristic
1332	C₄	—	2	2	no	—
1333	C₄	—	2	2	no	—
1334	C₄	—	2	6	no	—
1335	C₄	—	2	6	no	—
1336	C₄	—	2	12	no	—
1337	C₄	—	2	12	no	—
1338	C₄	—	2	12	no	—
1339	C₄	—	2	2	no	—
1340	C₄	—	2	6	no	—
1341	C₄	—	2	4	no	—
1342	C₄	—	2	2	no	—
1343	C₄	—	2	4	no	—
1344	C₄	—	2	12	no	—
1345	C₄	—	2	6	no	—
1346	C₄	—	2	4	no	—
1347	C₄	C₂³×#41	1	4	yes	—
1348	C₄	C₂³×#41	1	12	yes	—
1349	C₂	—	2	4	no	—
1350	C₂	—	2	12	no	—
1351	C₂	—	4	4	no	—
1352	C₂	—	4	6	no	—
1353	C₂	—	4	6	no	—
1354	C₂	—	4	2	no	—
1355	C₂	#62993	1	4	yes	direct product factor
1356	C₂	C₂⁴×#41	1	1	yes	characteristic
1357	C₂	C₂²×#585	1	1	yes	characteristic
1358	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. #62993	C₂	direct (N × H)
2. C₂×#3512	C₂	semidirect
3. C₂×#3504	C₂	semidirect
4. C₂×#3495	C₂	semidirect
5. C₂×#3495	C₂	semidirect
6. C₂×#3489	C₂	semidirect
7. C₂×#3489	C₂	semidirect
8. C₂×#3524	C₂	semidirect
9. C₂×#3523	C₂	semidirect
10. C₂×#3516	C₂	semidirect
11. C₂×#3521	C₂	semidirect
12. C₂×#3515	C₂	semidirect
13. C₂×#3507	C₂	semidirect
14. C₂×#3493	C₂	semidirect
15. C₂×#3513	C₂	semidirect
16. C₂×#3492	C₂	semidirect
17. C₂×#3482	C₂	semidirect
18. C₂×#3475	C₂	semidirect
19. C₂×#3475	C₂	semidirect
20. C₂²×#552	C₂	semidirect
21. C₂×D₄×#41	C₂	semidirect
22. C₂×C₄×2₋¹⁺⁴	C₂	semidirect
23. C₂×#3428	C₂	semidirect
24. C₂²×#520	C₂	semidirect
28. #3524	C₂²	semidirect
29. #3523	C₂²	semidirect
30. #3521	C₂²	semidirect
31. #3516	C₂²	semidirect
32. #3515	C₂²	semidirect
33. #3513	C₂²	semidirect
34. #3512	C₂²	semidirect
35. #3507	C₂²	semidirect
36. #3504	C₂²	semidirect
37. #3495	C₂²	semidirect
38. #3495	C₂²	semidirect
39. #3493	C₂²	semidirect
40. #3492	C₂²	semidirect
41. #3489	C₂²	semidirect
42. #3489	C₂²	semidirect
43. #3482	C₂²	semidirect
44. C₂×#559	C₂²	semidirect
45. C₂×#557	C₂²	semidirect
46. C₂×#557	C₂²	semidirect
47. C₂×#557	C₂²	semidirect
48. #3475	C₂²	semidirect
49. #3475	C₂²	semidirect
50. C₂×#556	C₂²	semidirect
51. C₂×#556	C₂²	semidirect
52. C₂×#556	C₂²	semidirect
53. C₂×#556	C₂²	semidirect
54. C₂×#556	C₂²	semidirect
55. C₂×#555	C₂²	semidirect
56. C₂×#555	C₂²	semidirect
57. C₂×#554	C₂²	semidirect
58. C₂×#554	C₂²	semidirect
59. C₂×#554	C₂²	semidirect
60. C₂×#554	C₂²	semidirect
61. C₂×#554	C₂²	semidirect
63. C₂×#553	C₂²	semidirect
64. C₂×#553	C₂²	semidirect
65. C₂×#553	C₂²	semidirect
66. C₂×#553	C₂²	semidirect
67. C₂×#553	C₂²	semidirect
68. C₂×#553	C₂²	semidirect
71. C₂×#552	C₂²	semidirect
72. C₂×#552	C₂²	semidirect
73. C₂×#552	C₂²	semidirect
74. C₂×#552	C₂²	semidirect
75. C₂×#552	C₂²	semidirect
76. C₂×#552	C₂²	semidirect
77. C₂×#552	C₂²	semidirect
78. C₂×#552	C₂²	semidirect
79. C₂×#552	C₂²	semidirect
80. C₂×#552	C₂²	semidirect
81. C₂×#552	C₂²	semidirect
82. C₂×#552	C₂²	semidirect
83. C₂×#552	C₂²	semidirect
84. C₂×#552	C₂²	semidirect
85. C₂×#551	C₂²	semidirect
86. C₂×#551	C₂²	semidirect
87. C₂×#551	C₂²	semidirect
88. C₂×#551	C₂²	semidirect
89. D₄×#41	C₂²	semidirect
92. C₂×D₄×Q₈	C₂²	semidirect
93. C₂×D₄×Q₈	C₂²	semidirect
96. C₂×#548	C₂²	semidirect
97. C₂×#548	C₂²	semidirect
99. C₂×#547	C₂²	semidirect
100. C₂×#547	C₂²	semidirect
101. C₂×#547	C₂²	semidirect
102. C₂×#547	C₂²	semidirect
106. C₂×#546	C₂²	semidirect
107. C₂×#546	C₂²	semidirect
109. C₂×#544	C₂²	semidirect
110. C₂×#544	C₂²	semidirect
111. C₂×#542	C₂²	semidirect
112. C₂×#542	C₂²	semidirect
113. C₂×#541	C₂²	semidirect
114. C₂×#541	C₂²	semidirect
115. C₂×#541	C₂²	semidirect
116. C₂×#540	C₂²	semidirect
117. C₂×#539	C₂²	semidirect
118. C₂×#539	C₂²	semidirect
119. C₂×#538	C₂²	semidirect
120. C₂×#537	C₂²	semidirect
121. C₂×#537	C₂²	semidirect
122. C₂×#536	C₂²	semidirect
123. C₂×#536	C₂²	semidirect
124. C₂×#533	C₂²	semidirect
125. C₂×#533	C₂²	semidirect
126. C₂×#533	C₂²	semidirect
129. C₂×#529	C₂²	semidirect
130. C₂×#529	C₂²	semidirect
131. C₂×#529	C₂²	semidirect
132. C₂×#529	C₂²	semidirect
133. C₂×#529	C₂²	semidirect
134. C₂×#529	C₂²	semidirect
135. C₂×#529	C₂²	semidirect
136. C₂×#529	C₂²	semidirect
137. C₂²×#126	C₂²	semidirect
138. C₂²×#125	C₂²	semidirect
139. C₂²×#125	C₂²	semidirect
142. C₂×#525	C₂²	semidirect
143. C₂×#525	C₂²	semidirect
144. C₂×#525	C₂²	semidirect
146. C₂²×C₂²⋊Q₈	C₂²	semidirect
147. C₂²×C₂²⋊Q₈	C₂²	semidirect
148. C₄×2₋¹⁺⁴	C₂²	semidirect
149. #3428	C₂²	semidirect
153. C₂×#520	C₂²	semidirect
154. C₂×#520	C₂²	semidirect
155. C₂×#520	C₂²	semidirect
156. C₂×#520	C₂²	semidirect
157. C₂×#520	C₂²	semidirect
158. C₂×#520	C₂²	semidirect
159. C₂×#520	C₂²	semidirect
160. C₂×#520	C₂²	semidirect
161. C₂×#520	C₂²	semidirect
162. C₂×#519	C₂²	semidirect
163. C₂×#519	C₂²	semidirect
164. C₂×#519	C₂²	semidirect
165. C₂×#518	C₂²	semidirect
167. C₂×C₄×#41	C₂²	semidirect
168. C₂×C₄×#41	C₂²	semidirect
169. C₂×C₄×#41	C₂²	semidirect
170. C₂×C₄×#41	C₂²	semidirect
171. C₂×C₄×#41	C₂²	semidirect
172. C₂²×C₄×Q₈	C₂²	semidirect
173. C₂²×C₄×Q₈	C₂²	semidirect
174. C₂²×C₄×Q₈	C₂²	semidirect
176. C₂²×C₄×D₄	C₂²	semidirect
177. C₂²×#117	C₂²	semidirect
178. C₂²×#117	C₂²	semidirect
179. C₂²×#117	C₂²	semidirect
180. C₂²×#117	C₂²	semidirect
181. C₂³×C₄⋊C₄	C₂²	semidirect
208. #559	C₂³	semidirect
209. #557	C₂³	semidirect
210. #557	C₂³	semidirect
211. #557	C₂³	semidirect
212. #556	C₂³	semidirect
213. #556	C₂³	semidirect
214. #556	C₂³	semidirect
215. #556	C₂³	semidirect
216. #556	C₂³	semidirect
217. #555	C₂³	semidirect
218. #555	C₂³	semidirect
219. #554	C₂³	semidirect
220. #554	C₂³	semidirect
221. #554	C₂³	semidirect
222. #554	C₂³	semidirect
223. #554	C₂³	semidirect
225. #553	C₂³	semidirect
226. #553	C₂³	semidirect
227. #553	C₂³	semidirect
228. #553	C₂³	semidirect
229. #553	C₂³	semidirect
230. #553	C₂³	semidirect
233. #552	C₂³	semidirect
234. #552	C₂³	semidirect
235. #552	C₂³	semidirect
236. #552	C₂³	semidirect
237. #552	C₂³	semidirect
238. #552	C₂³	semidirect
239. #552	C₂³	semidirect
240. #552	C₂³	semidirect
241. #552	C₂³	semidirect
242. #552	C₂³	semidirect
243. #552	C₂³	semidirect
244. #552	C₂³	semidirect
245. #552	C₂³	semidirect
246. #551	C₂³	semidirect
247. #551	C₂³	semidirect
248. #551	C₂³	semidirect
249. #551	C₂³	semidirect
252. D₄×Q₈	C₂³	semidirect
253. D₄×Q₈	C₂³	semidirect
256. #548	C₂³	semidirect
257. #548	C₂³	semidirect
259. #547	C₂³	semidirect
260. #547	C₂³	semidirect
261. #547	C₂³	semidirect
262. #547	C₂³	semidirect
266. #546	C₂³	semidirect
267. #546	C₂³	semidirect
269. #544	C₂³	semidirect
270. #544	C₂³	semidirect
271. #542	C₂³	semidirect
272. #542	C₂³	semidirect
273. #541	C₂³	semidirect
274. #541	C₂³	semidirect
275. #541	C₂³	semidirect
276. #540	C₂³	semidirect
277. #539	C₂³	semidirect
278. #539	C₂³	semidirect
279. #538	C₂³	semidirect
280. #537	C₂³	semidirect
281. #537	C₂³	semidirect
282. #536	C₂³	semidirect
283. #536	C₂³	semidirect
284. #533	C₂³	semidirect
285. #533	C₂³	semidirect
286. #533	C₂³	semidirect
297. #529	C₂³	semidirect
298. #529	C₂³	semidirect
299. #529	C₂³	semidirect
300. #529	C₂³	semidirect
301. #529	C₂³	semidirect
302. #529	C₂³	semidirect
303. #529	C₂³	semidirect
304. #529	C₂³	semidirect
318. C₂×#126	C₂³	semidirect
334. C₂×#125	C₂³	semidirect
335. C₂×#125	C₂³	semidirect
346. #525	C₂³	semidirect
347. #525	C₂³	semidirect
348. #525	C₂³	semidirect
392. C₂×C₂²⋊Q₈	C₂³	semidirect
393. C₂×C₂²⋊Q₈	C₂³	semidirect
419. #520	C₂³	semidirect
420. #520	C₂³	semidirect
421. #520	C₂³	semidirect
422. #520	C₂³	semidirect
423. #520	C₂³	semidirect
424. #520	C₂³	semidirect
425. #520	C₂³	semidirect
426. #520	C₂³	semidirect
427. #519	C₂³	semidirect
428. #519	C₂³	semidirect
429. #519	C₂³	semidirect
430. #518	C₂³	semidirect
432. C₄×#41	C₂³	semidirect
433. C₄×#41	C₂³	semidirect
434. C₄×#41	C₂³	semidirect
435. C₄×#41	C₂³	semidirect
436. C₄×#41	C₂³	semidirect
457. C₂×C₄×Q₈	C₂³	semidirect
458. C₂×C₄×Q₈	C₂³	semidirect
459. C₂×C₄×Q₈	C₂³	semidirect
497. C₂×C₄×D₄	C₂³	semidirect
523. C₂×#117	C₂³	semidirect
524. C₂×#117	C₂³	semidirect
525. C₂×#117	C₂³	semidirect
526. C₂×#117	C₂³	semidirect
545. C₂²×C₄⋊C₄	C₂³	semidirect
573. C₂×#41	#41	semidirect
979. #41	C₂×#41	semidirect
1355. C₂	#62993	direct (N × H)

Maximal subgroups

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

subgroup	index
#62993	2
C₂×#3512	2
C₂×#3504	2
C₂×#3495	2
C₂×#3489	2
C₂×#3524	2
C₂×#3523	2
C₂×#3516	2
C₂×#3521	2
C₂×#3515	2
C₂×#3507	2
C₂×#3493	2
C₂×#3513	2
C₂×#3492	2
C₂×#3482	2
C₂×#3475	2
C₂²×#552	2
C₂×D₄×#41	2
C₂×C₄×2₋¹⁺⁴	2
C₂×#3428	2
C₂²×#520	2

Subgroups — C2×#62993 #10586037

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#62993 #10586037