Subgroups — C₂×#62857 #10586013

Order 512.

34446 conjugacy classes of subgroups.

The subgroup lattice has 1346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#62857	C₂	1	64	yes	maximal, direct product factor
2	C₂×#3510	C₂	1	3	yes	maximal, complemented
3	C₂×#3500	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#3495	C₂	1	3	yes	maximal, complemented
5	C₂×#3489	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#3511	C₂	1	3	yes	maximal, complemented
7	C₂×#3494	C₂	1	3	yes	maximal, complemented
8	C₂×#3503	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#3488	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#3524	C₂	1	2	yes	maximal, complemented
11	C₂×#3518	C₂	1	2	yes	maximal, complemented
12	C₂×#3522	C₂	1	2	yes	maximal, complemented
13	C₂×#3516	C₂	1	2	yes	maximal, complemented
14	C₂×#3521	C₂	1	6	yes	maximal, complemented
15	C₂×#3514	C₂	1	6	yes	maximal, complemented
16	C₂×#3520	C₂	1	6	yes	maximal, complemented
17	C₂×#3513	C₂	1	6	yes	maximal, complemented
18	C₂×#3455	C₂	1	3	yes	maximal, complemented
19	C₂×#3461	C₂	1	3	yes	maximal, complemented
20	C₂×#3460	C₂	1	3	yes	maximal, complemented
21	C₂²×#542	C₂	1	3	yes	maximal, complemented
22	C₂×C₄×2₋¹⁺⁴	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#3428	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
26	C₂²×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
27	C₂³×#41	C₂²	1	1	yes	characteristic
28	#3524	C₂²	1	64	yes	complemented
29	#3522	C₂²	1	64	yes	complemented
30	#3521	C₂²	1	192	yes	complemented
31	#3520	C₂²	1	192	yes	complemented
32	#3518	C₂²	1	64	yes	complemented
33	#3516	C₂²	1	64	yes	complemented
34	#3514	C₂²	1	192	yes	complemented
35	#3513	C₂²	1	192	yes	complemented
36	#3511	C₂²	1	96	yes	complemented
37	#3510	C₂²	1	96	yes	complemented
38	#3503	C₂²	1	32	yes	complemented
39	#3500	C₂²	1	32	yes	complemented
40	#3495	C₂²	1	96	yes	complemented
41	#3494	C₂²	1	96	yes	complemented
42	#3489	C₂²	1	32	yes	complemented
43	#3488	C₂²	1	32	yes	complemented
44	C₂×#559	C₂²	1	6	yes	complemented
45	C₂×#559	C₂²	1	6	yes	complemented
46	C₂×Q₈²	C₂²	1	2	yes	complemented
47	C₂×#557	C₂²	1	2	yes	complemented
48	C₂×#556	C₂²	1	6	yes	complemented
49	C₂×#556	C₂²	1	6	yes	complemented
50	C₂×#556	C₂²	1	6	yes	complemented
51	C₂×#556	C₂²	1	6	yes	complemented
52	C₂×#555	C₂²	1	6	yes	complemented
53	C₂×#555	C₂²	1	6	yes	complemented
54	C₂×#554	C₂²	1	6	yes	complemented
55	C₂×#554	C₂²	1	6	yes	complemented
56	C₂×#554	C₂²	1	6	yes	complemented
57	C₂×#553	C₂²	1	12	yes	complemented
58	C₂×#553	C₂²	1	6	yes	complemented
59	C₂×#553	C₂²	1	6	yes	complemented
60	C₂×#552	C₂²	1	6	yes	complemented
61	C₂×#552	C₂²	1	12	yes	complemented
62	C₂×#552	C₂²	1	6	yes	complemented
63	C₂×#551	C₂²	1	12	yes	complemented
64	C₂×#551	C₂²	1	12	yes	complemented
65	C₂×#551	C₂²	1	12	yes	complemented
66	C₂×#551	C₂²	1	12	yes	complemented
67	C₂×#550	C₂²	1	2	yes	—
68	C₂×D₄×Q₈	C₂²	1	6	yes	complemented
69	C₂×D₄×Q₈	C₂²	1	2	yes	complemented
70	C₂×#548	C₂²	1	2	yes	—
71	C₂×#548	C₂²	1	12	yes	complemented
72	C₂×#548	C₂²	1	2	yes	complemented
73	C₂×#548	C₂²	1	2	yes	complemented
74	C₂×#548	C₂²	1	2	yes	complemented
75	C₂×#547	C₂²	1	6	yes	complemented
76	C₂×#547	C₂²	1	6	yes	complemented
77	C₂×#547	C₂²	1	6	yes	complemented
78	C₂×#546	C₂²	1	6	yes	—
79	C₂×#546	C₂²	1	12	yes	complemented
80	C₂×#546	C₂²	1	6	yes	complemented
81	C₂×#546	C₂²	1	6	yes	complemented
82	C₂×#546	C₂²	1	6	yes	complemented
83	C₂×D₄²	C₂²	1	6	yes	—
84	#3461	C₂²	1	96	yes	complemented
85	#3460	C₂²	1	96	yes	complemented
86	C₂×#544	C₂²	1	3	yes	complemented
87	C₂×#544	C₂²	1	3	yes	complemented
88	#3455	C₂²	1	96	yes	complemented
89	C₂×#542	C₂²	1	6	yes	complemented
90	C₂×#542	C₂²	1	6	yes	complemented
91	C₂×#542	C₂²	1	6	yes	complemented
92	C₂×#542	C₂²	1	6	yes	complemented
93	C₂×#542	C₂²	1	6	yes	complemented
94	C₂×#542	C₂²	1	6	yes	complemented
95	C₂×#542	C₂²	1	6	yes	complemented
96	C₂×#542	C₂²	1	3	yes	complemented
97	C₂×#542	C₂²	1	6	yes	complemented
98	C₂×#542	C₂²	1	3	yes	complemented
99	C₂×#542	C₂²	1	3	yes	complemented
100	C₂×#542	C₂²	1	6	yes	complemented
101	C₂×#542	C₂²	1	1	yes	characteristic, complemented
102	C₂×#542	C₂²	1	96	yes	complemented
103	C₂×#541	C₂²	1	6	yes	complemented
104	C₂×#541	C₂²	1	3	yes	complemented
105	C₂×#541	C₂²	1	3	yes	complemented
106	C₂×#540	C₂²	1	6	yes	complemented
107	C₂×#540	C₂²	1	3	yes	complemented
108	C₂×#540	C₂²	1	3	yes	complemented
109	C₂×#539	C₂²	1	12	yes	complemented
110	C₂×#539	C₂²	1	6	yes	complemented
111	C₂×#539	C₂²	1	6	yes	complemented
112	C₂×#538	C₂²	1	6	yes	complemented
113	C₂×#538	C₂²	1	6	yes	complemented
114	C₂×#538	C₂²	1	12	yes	complemented
115	C₂×#537	C₂²	1	3	yes	—
116	C₂×#537	C₂²	1	3	yes	complemented
117	C₂×#536	C₂²	1	3	yes	complemented
118	C₂×#536	C₂²	1	3	yes	complemented
119	C₂×#535	C₂²	1	3	yes	—
120	C₂×#535	C₂²	1	3	yes	complemented
121	C₂×#533	C₂²	1	6	yes	complemented
122	C₂×#533	C₂²	1	3	yes	complemented
123	C₂×#533	C₂²	1	6	yes	complemented
124	C₂×#532	C₂²	1	6	yes	complemented
125	C₂×#532	C₂²	1	6	yes	complemented
126	C₂×#532	C₂²	1	3	yes	complemented
127	C₂²×C₄⋊Q₈	C₂²	1	3	yes	complemented
128	C₂×#529	C₂²	1	6	yes	complemented
129	C₂×#529	C₂²	1	6	yes	complemented
130	C₂×#529	C₂²	1	6	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×#124	C₂²	1	6	yes	complemented
139	C₂²×#124	C₂²	1	3	yes	complemented
140	C₂×#525	C₂²	1	3	yes	—
141	C₂×#525	C₂²	1	12	yes	complemented
142	C₂×#525	C₂²	1	3	yes	complemented
143	C₂²×#123	C₂²	1	6	yes	complemented
144	C₂²×C₂²⋊Q₈	C₂²	1	6	yes	complemented
145	C₂²×C₂²⋊Q₈	C₂²	1	3	yes	complemented
146	C₂²×#121	C₂²	1	3	yes	—
147	C₄×2₋¹⁺⁴	C₂²	1	32	yes	complemented
148	C₄×H(5,𝔽₂)	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	6	yes	complemented
153	C₂×#520	C₂²	1	3	yes	complemented
154	C₂×#520	C₂²	1	3	yes	complemented
155	C₂×#520	C₂²	1	2	yes	complemented
156	C₂×#520	C₂²	1	1	yes	characteristic, complemented
157	C₂×#520	C₂²	1	1	yes	characteristic, complemented
158	C₂×#520	C₂²	1	3	yes	complemented
159	C₂×#520	C₂²	1	3	yes	complemented
160	C₂×#519	C₂²	1	1	yes	characteristic, complemented
161	C₂×#519	C₂²	1	1	yes	characteristic, complemented
162	C₂×#519	C₂²	1	2	yes	complemented
163	C₂×#519	C₂²	1	3	yes	complemented
164	C₂×#518	C₂²	1	3	yes	complemented
165	C₂×#518	C₂²	1	3	yes	complemented
166	C₂×#518	C₂²	1	6	yes	complemented
167	C₂×#518	C₂²	1	3	yes	complemented
168	C₂×C₄×#41	C₂²	1	1	yes	characteristic
169	C₂×C₄×#41	C₂²	1	1	yes	characteristic
170	C₂×C₄×#41	C₂²	1	6	yes	complemented
171	C₂×C₄×#41	C₂²	1	2	yes	complemented
172	C₂×C₄×#41	C₂²	1	3	yes	complemented
173	C₂×C₄×#41	C₂²	1	3	yes	complemented
174	C₂×C₄×#41	C₂²	1	3	yes	complemented
175	C₂×C₄×#41	C₂²	1	3	yes	complemented
176	C₂²×C₄×Q₈	C₂²	1	2	yes	complemented
177	C₂²×C₄×Q₈	C₂²	1	3	yes	complemented
178	C₂²×C₄×D₄	C₂²	1	6	yes	complemented
179	C₂²×C₄×D₄	C₂²	1	3	yes	complemented
180	C₂²×#117	C₂²	1	3	yes	complemented
181	C₂²×#117	C₂²	1	3	yes	complemented
182	C₂×2₋¹⁺⁴	—	2	16	no	—
183	C₂×2₋¹⁺⁴	C₂³	1	16	yes	—
184	C₂×H(5,𝔽₂)	—	2	16	no	—
185	C₂×H(5,𝔽₂)	C₂³	1	16	yes	—
186	C₂²×#41	—	2	16	no	—
187	C₂²×#41	C₂³	1	3	yes	—
188	C₂²×#41	C₂³	1	3	yes	—
189	C₂²×#41	C₂³	1	1	yes	characteristic
190	C₂²×#41	C₂³	1	16	yes	—
191	C₂²×#41	C₂³	1	3	yes	—
192	C₂²×#41	C₂³	1	2	yes	—
193	C₂²×#41	C₂³	1	3	yes	—
194	C₂²×#41	C₂³	1	6	yes	—
195	C₂²×#41	C₂³	1	12	yes	—
196	C₂²×#41	C₂³	1	1	yes	characteristic
197	C₂³×Q₈	C₂³	1	1	yes	characteristic
198	C₂³×Q₈	C₂³	1	3	yes	—
199	C₂³×Q₈	C₂³	1	2	yes	—
200	C₂³×Q₈	C₂³	1	6	yes	—
201	C₂³×D₄	C₂³	1	3	yes	—
202	C₂³×D₄	C₂³	1	3	yes	—
203	C₂³×D₄	C₂³	1	6	yes	—
204	C₂³×D₄	C₂³	1	6	yes	—
205	C₂⁴×C₄	C₂³	1	3	yes	—
206	C₂⁴×C₄	C₂³	1	6	yes	—
207	#559	C₂³	1	96	yes	complemented
208	#559	C₂³	1	96	yes	complemented
209	Q₈²	C₂³	1	32	yes	complemented
210	#557	C₂³	1	32	yes	complemented
211	#556	C₂³	1	96	yes	complemented
212	#556	C₂³	1	96	yes	complemented
213	#556	C₂³	1	96	yes	complemented
214	#556	C₂³	1	96	yes	complemented
215	#555	C₂³	1	96	yes	complemented
216	#555	C₂³	1	96	yes	complemented
217	#554	C₂³	1	96	yes	complemented
218	#554	C₂³	1	96	yes	complemented
219	#554	C₂³	1	96	yes	complemented
220	#553	C₂³	1	96	yes	complemented
221	#553	C₂³	1	96	yes	complemented
222	#553	C₂³	1	192	yes	complemented
223	#552	C₂³	1	96	yes	complemented
224	#552	C₂³	1	192	yes	complemented
225	#552	C₂³	1	96	yes	complemented
226	#551	C₂³	1	192	yes	complemented
227	#551	C₂³	1	192	yes	complemented
228	#551	C₂³	1	192	yes	complemented
229	#551	C₂³	1	192	yes	complemented
230	#550	C₂³	1	32	yes	—
231	D₄×Q₈	C₂³	1	32	yes	complemented
232	D₄×Q₈	C₂³	1	96	yes	complemented
233	#548	C₂³	1	32	yes	—
234	#548	C₂³	1	32	yes	complemented
235	#548	C₂³	1	32	yes	complemented
236	#548	C₂³	1	32	yes	complemented
237	#548	C₂³	1	192	yes	complemented
238	#547	C₂³	1	96	yes	complemented
239	#547	C₂³	1	96	yes	complemented
240	#547	C₂³	1	96	yes	complemented
241	#546	C₂³	1	96	yes	—
242	#546	C₂³	1	96	yes	complemented
243	#546	C₂³	1	192	yes	complemented
244	#546	C₂³	1	96	yes	complemented
245	#546	C₂³	1	96	yes	complemented
246	D₄²	C₂³	1	96	yes	—
247	#544	C₂³	1	48	yes	complemented
248	#544	C₂³	1	48	yes	complemented
249	#542	C₂³	1	48	yes	complemented
250	#542	C₂³	1	96	yes	complemented
251	#542	C₂³	1	96	yes	complemented
252	#542	C₂³	1	96	yes	complemented
253	#542	C₂³	1	96	yes	complemented
254	#542	C₂³	1	96	yes	complemented
255	#542	C₂³	1	96	yes	complemented
256	#542	C₂³	1	96	yes	complemented
257	#542	C₂³	1	16	yes	complemented
258	#542	C₂³	1	48	yes	complemented
259	#542	C₂³	1	48	yes	complemented
260	#542	C₂³	1	96	yes	complemented
261	#542	C₂³	1	96	yes	complemented
262	#541	C₂³	1	48	yes	complemented
263	#541	C₂³	1	48	yes	complemented
264	#541	C₂³	1	96	yes	complemented
265	#540	C₂³	1	48	yes	complemented
266	#540	C₂³	1	48	yes	complemented
267	#540	C₂³	1	96	yes	complemented
268	#539	C₂³	1	96	yes	complemented
269	#539	C₂³	1	96	yes	complemented
270	#539	C₂³	1	192	yes	complemented
271	#538	C₂³	1	96	yes	complemented
272	#538	C₂³	1	96	yes	complemented
273	#538	C₂³	1	192	yes	complemented
274	#537	C₂³	1	48	yes	—
275	#537	C₂³	1	48	yes	complemented
276	#536	C₂³	1	48	yes	complemented
277	#536	C₂³	1	48	yes	complemented
278	#535	C₂³	1	48	yes	—
279	#535	C₂³	1	48	yes	complemented
280	#533	C₂³	1	48	yes	complemented
281	#533	C₂³	1	96	yes	complemented
282	#533	C₂³	1	96	yes	complemented
283	#532	C₂³	1	48	yes	complemented
284	#532	C₂³	1	96	yes	complemented
285	#532	C₂³	1	96	yes	complemented
286	C₂×C₄⋊Q₈	C₂³	1	3	yes	—
287	C₂×C₄⋊Q₈	C₂³	1	6	yes	—
288	C₂×C₄⋊Q₈	C₂³	1	6	yes	—
289	C₂×C₄⋊Q₈	C₂³	1	6	yes	—
290	C₂×C₄⋊Q₈	C₂³	1	3	yes	—
291	C₂×C₄⋊Q₈	C₂³	1	6	yes	—
292	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊Q₈	C₂³	1	6	yes	—
294	C₂×C₄⋊Q₈	C₂³	1	6	yes	—
295	C₂×C₄⋊Q₈	C₂³	1	48	yes	complemented
296	C₂×#127	C₂³	1	3	yes	—
297	C₂×#127	C₂³	1	6	yes	—
298	#529	C₂³	1	96	yes	complemented
299	#529	C₂³	1	96	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	#529	C₂³	1	96	yes	complemented
306	#529	C₂³	1	192	yes	complemented
307	C₂×#126	C₂³	1	6	yes	—
308	C₂×#126	C₂³	1	12	yes	—
309	C₂×#126	C₂³	1	12	yes	—
310	C₂×#126	C₂³	1	12	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	6	yes	—
315	C₂×#126	C₂³	1	6	yes	—
316	C₂×#126	C₂³	1	12	yes	—
317	C₂×#126	C₂³	1	12	yes	—
318	C₂×#126	C₂³	1	6	yes	—
319	C₂×#126	C₂³	1	6	yes	—
320	C₂×#126	C₂³	1	96	yes	complemented
321	C₂×#125	C₂³	1	6	yes	—
322	C₂×#125	C₂³	1	3	yes	—
323	C₂×#125	C₂³	1	3	yes	—
324	C₂×#125	C₂³	1	6	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	6	yes	—
329	C₂×#125	C₂³	1	12	yes	—
330	C₂×#124	C₂³	1	6	yes	—
331	C₂×#124	C₂³	1	3	yes	—
332	C₂×#124	C₂³	1	6	yes	—
333	C₂×#124	C₂³	1	12	yes	—
334	C₂×#124	C₂³	1	6	yes	—
335	C₂×#124	C₂³	1	6	yes	—
336	C₂×#124	C₂³	1	12	yes	—
337	C₂×#124	C₂³	1	12	yes	—
338	C₂×#124	C₂³	1	2	yes	—
339	C₂×#124	C₂³	1	6	yes	—
340	C₂×#124	C₂³	1	6	yes	—
341	C₂×#124	C₂³	1	6	yes	—
342	C₂×#124	C₂³	1	6	yes	—
343	C₂×#124	C₂³	1	1	yes	characteristic
344	C₂×#124	C₂³	1	12	yes	—
345	C₂×#124	C₂³	1	48	yes	complemented
346	C₂×#124	C₂³	1	96	yes	complemented
347	#525	C₂³	1	48	yes	—
348	#525	C₂³	1	48	yes	complemented
349	#525	C₂³	1	192	yes	complemented
350	C₂×#123	C₂³	1	6	yes	—
351	C₂×#123	C₂³	1	12	yes	—
352	C₂×#123	C₂³	1	12	yes	—
353	C₂×#123	C₂³	1	12	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	2	yes	—
358	C₂×#123	C₂³	1	6	yes	—
359	C₂×#123	C₂³	1	12	yes	—
360	C₂×#123	C₂³	1	12	yes	—
361	C₂×#123	C₂³	1	12	yes	—
362	C₂×#123	C₂³	1	6	yes	—
363	C₂×#123	C₂³	1	6	yes	—
364	C₂×#123	C₂³	1	6	yes	—
365	C₂×#123	C₂³	1	6	yes	—
366	C₂×#123	C₂³	1	12	yes	—
367	C₂×#123	C₂³	1	96	yes	complemented
368	C₂×C₂²⋊Q₈	C₂³	1	3	yes	—
369	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
370	C₂×C₂²⋊Q₈	C₂³	1	12	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	12	yes	—
375	C₂×C₂²⋊Q₈	C₂³	1	12	yes	—
376	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
377	C₂×C₂²⋊Q₈	C₂³	1	3	yes	—
378	C₂×C₂²⋊Q₈	C₂³	1	3	yes	—
379	C₂×C₂²⋊Q₈	C₂³	1	12	yes	—
380	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
381	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
382	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
383	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
384	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
385	C₂×C₂²⋊Q₈	C₂³	1	12	yes	—
386	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
387	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
388	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
389	C₂×C₂²⋊Q₈	C₂³	1	6	yes	—
390	C₂×C₂²⋊Q₈	C₂³	1	12	yes	—
391	C₂×C₂²⋊Q₈	C₂³	1	48	yes	complemented
392	C₂×C₂²⋊Q₈	C₂³	1	96	yes	complemented
393	C₂×#121	C₂³	1	3	yes	—
394	C₂×#121	C₂³	1	6	yes	—
395	C₂×#121	C₂³	1	6	yes	—
396	C₂×#121	C₂³	1	6	yes	—
397	C₂×#121	C₂³	1	48	yes	—
398	C₂×#121	C₂³	1	3	yes	—
399	C₂×#121	C₂³	1	1	yes	characteristic
400	C₂×#121	C₂³	1	6	yes	—
401	C₂×#121	C₂³	1	3	yes	—
402	C₂×#121	C₂³	1	12	yes	—
403	C₂×#121	C₂³	1	6	yes	—
404	C₂×#121	C₂³	1	6	yes	—
405	C₂×#121	C₂³	1	12	yes	—
406	C₂×#121	C₂³	1	6	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×#121	C₂³	1	6	yes	—
413	C₂×#121	C₂³	1	12	yes	—
414	C₂×#120	C₂³	1	6	yes	—
415	C₂×#120	C₂³	1	12	yes	—
416	C₂×#120	C₂³	1	12	yes	—
417	C₂×#120	C₂³	1	6	yes	—
418	#520	C₂³	1	16	yes	—
419	#520	C₂³	1	16	yes	—
420	#520	C₂³	1	48	yes	complemented
421	#520	C₂³	1	48	yes	complemented
422	#520	C₂³	1	16	yes	complemented
423	#520	C₂³	1	16	yes	complemented
424	#520	C₂³	1	48	yes	complemented
425	#520	C₂³	1	32	yes	complemented
426	#520	C₂³	1	48	yes	complemented
427	#520	C₂³	1	96	yes	complemented
428	#519	C₂³	1	16	yes	complemented
429	#519	C₂³	1	16	yes	complemented
430	#519	C₂³	1	48	yes	complemented
431	#519	C₂³	1	32	yes	complemented
432	#518	C₂³	1	48	yes	complemented
433	#518	C₂³	1	48	yes	complemented
434	#518	C₂³	1	48	yes	complemented
435	#518	C₂³	1	96	yes	complemented
436	C₄×#41	C₂³	1	16	yes	—
437	C₄×#41	C₂³	1	16	yes	—
438	C₄×#41	C₂³	1	48	yes	complemented
439	C₄×#41	C₂³	1	48	yes	complemented
440	C₄×#41	C₂³	1	48	yes	complemented
441	C₄×#41	C₂³	1	32	yes	complemented
442	C₄×#41	C₂³	1	48	yes	complemented
443	C₄×#41	C₂³	1	96	yes	complemented
444	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
445	C₂×C₄×Q₈	C₂³	1	6	yes	—
446	C₂×C₄×Q₈	C₂³	1	3	yes	—
447	C₂×C₄×Q₈	C₂³	1	2	yes	—
448	C₂×C₄×Q₈	C₂³	1	6	yes	—
449	C₂×C₄×Q₈	C₂³	1	6	yes	—
450	C₂×C₄×Q₈	C₂³	1	6	yes	—
451	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
452	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
453	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
454	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
455	C₂×C₄×Q₈	C₂³	1	3	yes	—
456	C₂×C₄×Q₈	C₂³	1	6	yes	—
457	C₂×C₄×Q₈	C₂³	1	3	yes	—
458	C₂×C₄×Q₈	C₂³	1	3	yes	—
459	C₂×C₄×Q₈	C₂³	1	3	yes	—
460	C₂×C₄×Q₈	C₂³	1	3	yes	—
461	C₂×C₄×Q₈	C₂³	1	2	yes	—
462	C₂×C₄×Q₈	C₂³	1	3	yes	—
463	C₂×C₄×Q₈	C₂³	1	6	yes	—
464	C₂×C₄×Q₈	C₂³	1	6	yes	—
465	C₂×C₄×Q₈	C₂³	1	12	yes	—
466	C₂×C₄×Q₈	C₂³	1	48	yes	complemented
467	C₂×C₄×Q₈	C₂³	1	32	yes	complemented
468	C₂×C₄×D₄	C₂³	1	3	yes	—
469	C₂×C₄×D₄	C₂³	1	6	yes	—
470	C₂×C₄×D₄	C₂³	1	6	yes	—
471	C₂×C₄×D₄	C₂³	1	3	yes	—
472	C₂×C₄×D₄	C₂³	1	6	yes	—
473	C₂×C₄×D₄	C₂³	1	6	yes	—
474	C₂×C₄×D₄	C₂³	1	6	yes	—
475	C₂×C₄×D₄	C₂³	1	6	yes	—
476	C₂×C₄×D₄	C₂³	1	12	yes	—
477	C₂×C₄×D₄	C₂³	1	3	yes	—
478	C₂×C₄×D₄	C₂³	1	3	yes	—
479	C₂×C₄×D₄	C₂³	1	3	yes	—
480	C₂×C₄×D₄	C₂³	1	6	yes	—
481	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
482	C₂×C₄×D₄	C₂³	1	6	yes	—
483	C₂×C₄×D₄	C₂³	1	3	yes	—
484	C₂×C₄×D₄	C₂³	1	6	yes	—
485	C₂×C₄×D₄	C₂³	1	6	yes	—
486	C₂×C₄×D₄	C₂³	1	6	yes	—
487	C₂×C₄×D₄	C₂³	1	3	yes	—
488	C₂×C₄×D₄	C₂³	1	3	yes	—
489	C₂×C₄×D₄	C₂³	1	3	yes	—
490	C₂×C₄×D₄	C₂³	1	6	yes	—
491	C₂×C₄×D₄	C₂³	1	6	yes	—
492	C₂×C₄×D₄	C₂³	1	3	yes	—
493	C₂×C₄×D₄	C₂³	1	6	yes	—
494	C₂×C₄×D₄	C₂³	1	6	yes	—
495	C₂×C₄×D₄	C₂³	1	3	yes	—
496	C₂×C₄×D₄	C₂³	1	12	yes	—
497	C₂×C₄×D₄	C₂³	1	6	yes	—
498	C₂×C₄×D₄	C₂³	1	6	yes	—
499	C₂×C₄×D₄	C₂³	1	6	yes	—
500	C₂×C₄×D₄	C₂³	1	6	yes	—
501	C₂×C₄×D₄	C₂³	1	12	yes	—
502	C₂×C₄×D₄	C₂³	1	12	yes	—
503	C₂×C₄×D₄	C₂³	1	12	yes	—
504	C₂×C₄×D₄	C₂³	1	6	yes	—
505	C₂×C₄×D₄	C₂³	1	6	yes	—
506	C₂×C₄×D₄	C₂³	1	48	yes	complemented
507	C₂×C₄×D₄	C₂³	1	96	yes	complemented
508	C₂×#117	C₂³	1	3	yes	—
509	C₂×#117	C₂³	1	1	yes	characteristic
510	C₂×#117	C₂³	1	3	yes	—
511	C₂×#117	C₂³	1	3	yes	—
512	C₂×#117	C₂³	1	3	yes	—
513	C₂×#117	C₂³	1	3	yes	—
514	C₂×#117	C₂³	1	3	yes	—
515	C₂×#117	C₂³	1	3	yes	—
516	C₂×#117	C₂³	1	3	yes	—
517	C₂×#117	C₂³	1	3	yes	—
518	C₂×#117	C₂³	1	3	yes	—
519	C₂×#117	C₂³	1	3	yes	—
520	C₂×#117	C₂³	1	6	yes	—
521	C₂×#117	C₂³	1	3	yes	—
522	C₂×#117	C₂³	1	6	yes	—
523	C₂×#117	C₂³	1	6	yes	—
524	C₂×#117	C₂³	1	3	yes	—
525	C₂×#117	C₂³	1	6	yes	—
526	C₂×#117	C₂³	1	12	yes	—
527	C₂×#117	C₂³	1	6	yes	—
528	C₂×#117	C₂³	1	12	yes	—
529	C₂×#117	C₂³	1	12	yes	—
530	C₂×#117	C₂³	1	12	yes	—
531	C₂×#117	C₂³	1	48	yes	complemented
532	C₂×#117	C₂³	1	48	yes	complemented
533	C₂²×C₄⋊C₄	C₂³	1	3	yes	—
534	C₂²×C₄⋊C₄	C₂³	1	3	yes	—
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	3	yes	—
540	C₂²×C₄⋊C₄	C₂³	1	6	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×C₂²⋊C₄	C₂³	1	3	yes	—
545	C₂²×C₂²⋊C₄	C₂³	1	3	yes	—
546	C₂²×C₂²⋊C₄	C₂³	1	6	yes	—
547	C₂²×C₂²⋊C₄	C₂³	1	6	yes	—
548	C₂²×C₂²⋊C₄	C₂³	1	12	yes	—
549	C₂²×C₂²⋊C₄	C₂³	1	6	yes	—
550	C₂²×C₂²⋊C₄	C₂³	1	6	yes	—
551	C₂²×C₂²⋊C₄	C₂³	1	6	yes	—
552	C₂²×C₂²⋊C₄	C₂³	1	6	yes	—
553	C₂²×C₄²	C₂³	1	3	yes	—
554	C₂²×C₄²	C₂³	1	3	yes	—
555	C₂²×C₄²	C₂³	1	6	yes	—
556	C₂²×C₄²	C₂³	1	6	yes	—
557	C₂²×C₄²	C₂³	1	6	yes	—
558	C₂²×C₄²	C₂³	1	6	yes	—
559	C₂⁵	C₂⁴	1	3	yes	—
560	C₂⁵	C₂⁴	1	6	yes	—
561	2₋¹⁺⁴	—	2	128	no	—
562	H(5,𝔽₂)	—	2	128	no	—
563	C₂×#41	—	2	128	no	—
564	C₂×#41	—	2	8	no	—
565	C₂×#41	—	2	16	no	—
566	C₂×#41	—	2	24	no	—
567	C₂×#41	—	2	48	no	—
568	C₂×#41	—	2	24	no	—
569	C₂×#41	—	2	24	no	—
570	C₂×#41	—	2	24	no	—
571	C₂×#41	—	8	24	no	—
572	C₂×#41	#41	1	16	yes	complemented
573	C₂×#41	C₂⁴	1	24	yes	—
574	C₂×#41	C₂⁴	1	24	yes	—
575	C₂×#41	C₂⁴	1	24	yes	—
576	C₂×#41	C₂⁴	1	48	yes	—
577	C₂×#41	C₂⁴	1	16	yes	—
578	C₂×#41	C₂⁴	1	24	yes	—
579	C₂×#41	C₂⁴	1	8	yes	—
580	C₂×#41	C₂⁴	1	96	yes	—
581	C₂×#41	C₂⁴	1	8	yes	—
582	C₂²×Q₈	—	2	8	no	—
583	C₂²×Q₈	—	2	16	no	—
584	C₂²×Q₈	—	2	24	no	—
585	C₂²×Q₈	—	8	12	no	—
586	C₂²×Q₈	C₂⁴	1	3	yes	—
587	C₂²×Q₈	C₂⁴	1	6	yes	—
588	C₂²×Q₈	C₂⁴	1	3	yes	—
589	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
590	C₂²×Q₈	C₂⁴	1	24	yes	—
591	C₂²×Q₈	C₂⁴	1	16	yes	—
592	C₂²×Q₈	C₂⁴	1	8	yes	—
593	C₂²×Q₈	C₂⁴	1	2	yes	—
594	C₂²×Q₈	C₂⁴	1	6	yes	—
595	C₂²×Q₈	C₂⁴	1	12	yes	—
596	C₂²×Q₈	C₂⁴	1	48	yes	—
597	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
598	C₂²×D₄	—	2	24	no	—
599	C₂²×D₄	—	2	48	no	—
600	C₂²×D₄	—	2	24	no	—
601	C₂²×D₄	—	8	12	no	—
602	C₂²×D₄	C₂⁴	1	6	yes	—
603	C₂²×D₄	C₂⁴	1	6	yes	—
604	C₂²×D₄	C₂⁴	1	6	yes	—
605	C₂²×D₄	C₂⁴	1	3	yes	—
606	C₂²×D₄	C₂⁴	1	6	yes	—
607	C₂²×D₄	C₂⁴	1	3	yes	—
608	C₂²×D₄	C₂⁴	1	1	yes	characteristic
609	C₂²×D₄	C₂⁴	1	24	yes	—
610	C₂²×D₄	C₂⁴	1	48	yes	—
611	C₂²×D₄	C₂⁴	1	24	yes	—
612	C₂²×D₄	C₂⁴	1	2	yes	—
613	C₂²×D₄	C₂⁴	1	6	yes	—
614	C₂²×D₄	C₂⁴	1	6	yes	—
615	C₂²×D₄	C₂⁴	1	6	yes	—
616	C₂²×D₄	C₂⁴	1	6	yes	—
617	C₂²×D₄	C₂⁴	1	6	yes	—
618	C₂²×D₄	C₂⁴	1	12	yes	—
619	C₂²×D₄	C₂⁴	1	48	yes	—
620	C₂²×D₄	C₂⁴	1	3	yes	—
621	C₂³×C₄	—	2	24	no	—
622	C₂³×C₄	—	8	12	no	—
623	C₂³×C₄	C₂⁴	1	6	yes	—
624	C₂³×C₄	C₂⁴	1	3	yes	—
625	C₂³×C₄	C₂⁴	1	3	yes	—
626	C₂³×C₄	C₂⁴	1	6	yes	—
627	C₂³×C₄	C₂⁴	1	6	yes	—
628	C₂³×C₄	C₂⁴	1	3	yes	—
629	C₂³×C₄	C₂⁴	1	1	yes	characteristic
630	C₂³×C₄	C₂⁴	1	3	yes	—
631	C₂³×C₄	C₂⁴	1	24	yes	—
632	C₂³×C₄	C₂⁴	1	3	yes	—
633	C₂³×C₄	C₂⁴	1	3	yes	—
634	C₂³×C₄	C₂⁴	1	3	yes	—
635	C₂³×C₄	C₂⁴	1	6	yes	—
636	C₂³×C₄	C₂⁴	1	6	yes	—
637	C₂³×C₄	C₂⁴	1	3	yes	—
638	C₂³×C₄	C₂⁴	1	6	yes	—
639	C₂³×C₄	C₂⁴	1	6	yes	—
640	C₂³×C₄	C₂⁴	1	12	yes	—
641	C₂³×C₄	C₂⁴	1	6	yes	—
642	C₂³×C₄	C₂⁴	1	6	yes	—
643	C₂³×C₄	C₂⁴	1	2	yes	—
644	C₂³×C₄	C₂⁴	1	6	yes	—
645	C₂³×C₄	C₂⁴	1	48	yes	—
646	C₂³×C₄	C₂⁴	1	3	yes	—
647	C₄⋊Q₈	C₂⁴	1	24	yes	—
648	C₄⋊Q₈	C₂⁴	1	48	yes	—
649	C₄⋊Q₈	C₂⁴	1	48	yes	—
650	C₄⋊Q₈	C₂⁴	1	48	yes	—
651	C₄⋊Q₈	C₂⁴	1	24	yes	—
652	C₄⋊Q₈	C₂⁴	1	48	yes	—
653	C₄⋊Q₈	C₂⁴	1	8	yes	—
654	C₄⋊Q₈	C₂⁴	1	48	yes	—
655	C₄⋊Q₈	C₂⁴	1	48	yes	—
656	#127	C₂⁴	1	24	yes	—
657	#127	C₂⁴	1	48	yes	—
658	#126	C₂⁴	1	48	yes	—
659	#126	C₂⁴	1	96	yes	—
660	#126	C₂⁴	1	96	yes	—
661	#126	C₂⁴	1	96	yes	—
662	#126	C₂⁴	1	48	yes	—
663	#126	C₂⁴	1	48	yes	—
664	#126	C₂⁴	1	16	yes	—
665	#126	C₂⁴	1	48	yes	—
666	#126	C₂⁴	1	48	yes	—
667	#126	C₂⁴	1	96	yes	—
668	#126	C₂⁴	1	96	yes	—
669	#126	C₂⁴	1	48	yes	—
670	#126	C₂⁴	1	48	yes	—
671	#125	C₂⁴	1	48	yes	—
672	#125	C₂⁴	1	24	yes	—
673	#125	C₂⁴	1	24	yes	—
674	#125	C₂⁴	1	48	yes	—
675	#125	C₂⁴	1	48	yes	—
676	#125	C₂⁴	1	48	yes	—
677	#125	C₂⁴	1	48	yes	—
678	#125	C₂⁴	1	48	yes	—
679	#125	C₂⁴	1	96	yes	—
680	#124	C₂⁴	1	48	yes	—
681	#124	C₂⁴	1	24	yes	—
682	#124	C₂⁴	1	48	yes	—
683	#124	C₂⁴	1	96	yes	—
684	#124	C₂⁴	1	48	yes	—
685	#124	C₂⁴	1	48	yes	—
686	#124	C₂⁴	1	96	yes	—
687	#124	C₂⁴	1	96	yes	—
688	#124	C₂⁴	1	16	yes	—
689	#124	C₂⁴	1	48	yes	—
690	#124	C₂⁴	1	48	yes	—
691	#124	C₂⁴	1	48	yes	—
692	#124	C₂⁴	1	48	yes	—
693	#124	C₂⁴	1	8	yes	—
694	#124	C₂⁴	1	96	yes	—
695	#123	C₂⁴	1	48	yes	—
696	#123	C₂⁴	1	96	yes	—
697	#123	C₂⁴	1	96	yes	—
698	#123	C₂⁴	1	96	yes	—
699	#123	C₂⁴	1	48	yes	—
700	#123	C₂⁴	1	48	yes	—
701	#123	C₂⁴	1	48	yes	—
702	#123	C₂⁴	1	16	yes	—
703	#123	C₂⁴	1	48	yes	—
704	#123	C₂⁴	1	96	yes	—
705	#123	C₂⁴	1	96	yes	—
706	#123	C₂⁴	1	96	yes	—
707	#123	C₂⁴	1	48	yes	—
708	#123	C₂⁴	1	48	yes	—
709	#123	C₂⁴	1	48	yes	—
710	#123	C₂⁴	1	48	yes	—
711	#123	C₂⁴	1	96	yes	—
712	C₂²⋊Q₈	C₂⁴	1	24	yes	—
713	C₂²⋊Q₈	C₂⁴	1	48	yes	—
714	C₂²⋊Q₈	C₂⁴	1	96	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	96	yes	—
719	C₂²⋊Q₈	C₂⁴	1	96	yes	—
720	C₂²⋊Q₈	C₂⁴	1	8	yes	—
721	C₂²⋊Q₈	C₂⁴	1	24	yes	—
722	C₂²⋊Q₈	C₂⁴	1	24	yes	—
723	C₂²⋊Q₈	C₂⁴	1	96	yes	—
724	C₂²⋊Q₈	C₂⁴	1	16	yes	—
725	C₂²⋊Q₈	C₂⁴	1	48	yes	—
726	C₂²⋊Q₈	C₂⁴	1	48	yes	—
727	C₂²⋊Q₈	C₂⁴	1	48	yes	—
728	C₂²⋊Q₈	C₂⁴	1	48	yes	—
729	C₂²⋊Q₈	C₂⁴	1	96	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	48	yes	—
734	C₂²⋊Q₈	C₂⁴	1	96	yes	—
735	#121	C₂⁴	1	24	yes	—
736	#121	C₂⁴	1	48	yes	—
737	#121	C₂⁴	1	48	yes	—
738	#121	C₂⁴	1	48	yes	—
739	#121	C₂⁴	1	24	yes	—
740	#121	C₂⁴	1	8	yes	—
741	#121	C₂⁴	1	48	yes	—
742	#121	C₂⁴	1	24	yes	—
743	#121	C₂⁴	1	96	yes	—
744	#121	C₂⁴	1	48	yes	—
745	#121	C₂⁴	1	48	yes	—
746	#121	C₂⁴	1	96	yes	—
747	#121	C₂⁴	1	48	yes	—
748	#121	C₂⁴	1	48	yes	—
749	#121	C₂⁴	1	48	yes	—
750	#121	C₂⁴	1	48	yes	—
751	#121	C₂⁴	1	48	yes	—
752	#121	C₂⁴	1	48	yes	—
753	#121	C₂⁴	1	48	yes	—
754	#121	C₂⁴	1	96	yes	—
755	#120	C₂⁴	1	48	yes	—
756	#120	C₂⁴	1	96	yes	—
757	#120	C₂⁴	1	96	yes	—
758	#120	C₂⁴	1	48	yes	—
759	C₄×Q₈	C₂⁴	1	8	yes	—
760	C₄×Q₈	C₂⁴	1	24	yes	—
761	C₄×Q₈	C₂⁴	1	48	yes	—
762	C₄×Q₈	C₂⁴	1	16	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	8	yes	—
767	C₄×Q₈	C₂⁴	1	8	yes	—
768	C₄×Q₈	C₂⁴	1	8	yes	—
769	C₄×Q₈	C₂⁴	1	8	yes	—
770	C₄×Q₈	C₂⁴	1	24	yes	—
771	C₄×Q₈	C₂⁴	1	48	yes	—
772	C₄×Q₈	C₂⁴	1	24	yes	—
773	C₄×Q₈	C₂⁴	1	24	yes	—
774	C₄×Q₈	C₂⁴	1	24	yes	—
775	C₄×Q₈	C₂⁴	1	24	yes	—
776	C₄×Q₈	C₂⁴	1	16	yes	—
777	C₄×Q₈	C₂⁴	1	24	yes	—
778	C₄×Q₈	C₂⁴	1	48	yes	—
779	C₄×Q₈	C₂⁴	1	48	yes	—
780	C₄×Q₈	C₂⁴	1	96	yes	—
781	C₄×D₄	C₂⁴	1	24	yes	—
782	C₄×D₄	C₂⁴	1	48	yes	—
783	C₄×D₄	C₂⁴	1	24	yes	—
784	C₄×D₄	C₂⁴	1	48	yes	—
785	C₄×D₄	C₂⁴	1	48	yes	—
786	C₄×D₄	C₂⁴	1	48	yes	—
787	C₄×D₄	C₂⁴	1	48	yes	—
788	C₄×D₄	C₂⁴	1	48	yes	—
789	C₄×D₄	C₂⁴	1	96	yes	—
790	C₄×D₄	C₂⁴	1	24	yes	—
791	C₄×D₄	C₂⁴	1	24	yes	—
792	C₄×D₄	C₂⁴	1	24	yes	—
793	C₄×D₄	C₂⁴	1	48	yes	—
794	C₄×D₄	C₂⁴	1	8	yes	—
795	C₄×D₄	C₂⁴	1	48	yes	—
796	C₄×D₄	C₂⁴	1	24	yes	—
797	C₄×D₄	C₂⁴	1	48	yes	—
798	C₄×D₄	C₂⁴	1	48	yes	—
799	C₄×D₄	C₂⁴	1	48	yes	—
800	C₄×D₄	C₂⁴	1	24	yes	—
801	C₄×D₄	C₂⁴	1	24	yes	—
802	C₄×D₄	C₂⁴	1	24	yes	—
803	C₄×D₄	C₂⁴	1	48	yes	—
804	C₄×D₄	C₂⁴	1	48	yes	—
805	C₄×D₄	C₂⁴	1	24	yes	—
806	C₄×D₄	C₂⁴	1	48	yes	—
807	C₄×D₄	C₂⁴	1	48	yes	—
808	C₄×D₄	C₂⁴	1	24	yes	—
809	C₄×D₄	C₂⁴	1	96	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	C₄×D₄	C₂⁴	1	96	yes	—
817	C₄×D₄	C₂⁴	1	48	yes	—
818	C₄×D₄	C₂⁴	1	48	yes	—
819	#117	C₂⁴	1	24	yes	—
820	#117	C₂⁴	1	8	yes	—
821	#117	C₂⁴	1	24	yes	—
822	#117	C₂⁴	1	24	yes	—
823	#117	C₂⁴	1	24	yes	—
824	#117	C₂⁴	1	24	yes	—
825	#117	C₂⁴	1	24	yes	—
826	#117	C₂⁴	1	24	yes	—
827	#117	C₂⁴	1	24	yes	—
828	#117	C₂⁴	1	24	yes	—
829	#117	C₂⁴	1	24	yes	—
830	#117	C₂⁴	1	24	yes	—
831	#117	C₂⁴	1	48	yes	—
832	#117	C₂⁴	1	24	yes	—
833	#117	C₂⁴	1	48	yes	—
834	#117	C₂⁴	1	48	yes	—
835	#117	C₂⁴	1	24	yes	—
836	#117	C₂⁴	1	48	yes	—
837	#117	C₂⁴	1	96	yes	—
838	#117	C₂⁴	1	48	yes	—
839	#117	C₂⁴	1	96	yes	—
840	#117	C₂⁴	1	96	yes	—
841	#117	C₂⁴	1	96	yes	—
842	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
843	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
844	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
845	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
846	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
847	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
848	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
849	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
850	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
851	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
852	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
853	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
854	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
855	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
856	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
857	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
858	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
859	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
860	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
861	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
862	C₂×C₄⋊C₄	C₂⁴	1	3	yes	—
863	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
864	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
865	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
866	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
867	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
868	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
869	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
870	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
871	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
872	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
873	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
874	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
875	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
876	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
878	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
879	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
880	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
881	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
882	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
883	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
884	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
885	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
886	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
887	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
888	C₂×C₄⋊C₄	C₂⁴	1	6	yes	—
889	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
890	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
891	C₂×C₂²⋊C₄	C₂⁴	1	3	yes	—
892	C₂×C₂²⋊C₄	C₂⁴	1	3	yes	—
893	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
894	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
895	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
896	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
897	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
898	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
899	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
900	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
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	3	yes	—
908	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
909	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
910	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
911	C₂×C₂²⋊C₄	C₂⁴	1	12	yes	—
912	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
913	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
914	C₂×C₂²⋊C₄	C₂⁴	1	48	yes	—
915	C₂×C₂²⋊C₄	C₂⁴	1	48	yes	—
916	C₂×C₂²⋊C₄	C₂⁴	1	96	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	48	yes	—
921	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
922	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
923	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
924	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
925	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
926	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
927	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
928	C₂×C₂²⋊C₄	C₂⁴	1	6	yes	—
929	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
930	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
931	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
932	C₂×C₄²	C₂⁴	1	3	yes	—
933	C₂×C₄²	C₂⁴	1	1	yes	characteristic
934	C₂×C₄²	C₂⁴	1	3	yes	—
935	C₂×C₄²	C₂⁴	1	3	yes	—
936	C₂×C₄²	C₂⁴	1	6	yes	—
937	C₂×C₄²	C₂⁴	1	6	yes	—
938	C₂×C₄²	C₂⁴	1	6	yes	—
939	C₂×C₄²	C₂⁴	1	12	yes	—
940	C₂×C₄²	C₂⁴	1	6	yes	—
941	C₂×C₄²	C₂⁴	1	1	yes	characteristic
942	C₂×C₄²	C₂⁴	1	3	yes	—
943	C₂×C₄²	C₂⁴	1	6	yes	—
944	C₂×C₄²	C₂⁴	1	3	yes	—
945	C₂×C₄²	C₂⁴	1	3	yes	—
946	C₂×C₄²	C₂⁴	1	6	yes	—
947	C₂×C₄²	C₂⁴	1	24	yes	—
948	C₂×C₄²	C₂⁴	1	24	yes	—
949	C₂×C₄²	C₂⁴	1	48	yes	—
950	C₂×C₄²	C₂⁴	1	2	yes	—
951	C₂×C₄²	C₂⁴	1	6	yes	—
952	C₂×C₄²	C₂⁴	1	48	yes	—
953	C₂×C₄²	C₂⁴	1	48	yes	—
954	C₂×C₄²	C₂⁴	1	48	yes	—
955	C₂⁴	—	2	12	no	—
956	C₂⁴	—	2	24	no	—
957	C₂⁴	—	4	12	no	—
958	C₂⁴	—	4	6	no	—
959	C₂⁴	—	4	6	no	—
960	C₂⁴	—	4	12	no	—
961	C₂⁴	C₂⁵	1	1	yes	characteristic
962	C₂⁴	C₂⁵	1	6	yes	—
963	C₂⁴	C₂⁵	1	3	yes	—
964	C₂⁴	C₂⁵	1	2	yes	—
965	C₂⁴	C₂⁵	1	3	yes	—
966	C₂⁴	C₂⁵	1	12	yes	—
967	C₂⁴	C₂⁵	1	24	yes	—
968	#41	—	2	32	no	—
969	#41	—	2	64	no	—
970	#41	—	2	96	no	—
971	#41	—	2	192	no	—
972	#41	—	2	96	no	—
973	#41	—	2	96	no	—
974	#41	—	2	96	no	—
975	#41	—	8	96	no	—
976	#41	C₂×#41	1	64	yes	complemented
977	C₂×Q₈	—	2	32	no	—
978	C₂×Q₈	—	2	64	no	—
979	C₂×Q₈	—	2	24	no	—
980	C₂×Q₈	—	2	12	no	—
981	C₂×Q₈	—	2	12	no	—
982	C₂×Q₈	—	2	96	no	—
983	C₂×Q₈	—	2	4	no	—
984	C₂×Q₈	—	4	12	no	—
985	C₂×Q₈	—	4	24	no	—
986	C₂×Q₈	—	4	4	no	—
987	C₂×Q₈	—	8	48	no	—
988	C₂×Q₈	C₂×#41	1	8	yes	—
989	C₂×Q₈	C₂⁵	1	12	yes	—
990	C₂×Q₈	C₂⁵	1	24	yes	—
991	C₂×Q₈	C₂⁵	1	12	yes	—
992	C₂×Q₈	C₂⁵	1	4	yes	—
993	C₂×Q₈	C₂⁵	1	8	yes	—
994	C₂×Q₈	C₂⁵	1	24	yes	—
995	C₂×Q₈	C₂⁵	1	48	yes	—
996	C₂×Q₈	C₂⁵	1	4	yes	—
997	C₂×D₄	—	2	24	no	—
998	C₂×D₄	—	2	24	no	—
999	C₂×D₄	—	2	24	no	—
1000	C₂×D₄	—	2	96	no	—
1001	C₂×D₄	—	2	192	no	—
1002	C₂×D₄	—	2	24	no	—
1003	C₂×D₄	—	2	12	no	—
1004	C₂×D₄	—	2	12	no	—
1005	C₂×D₄	—	2	96	no	—
1006	C₂×D₄	—	2	4	no	—
1007	C₂×D₄	—	4	12	no	—
1008	C₂×D₄	—	4	24	no	—
1009	C₂×D₄	—	4	12	no	—
1010	C₂×D₄	—	4	4	no	—
1011	C₂×D₄	—	4	12	no	—
1012	C₂×D₄	—	4	12	no	—
1013	C₂×D₄	—	4	12	no	—
1014	C₂×D₄	—	8	48	no	—
1015	C₂×D₄	C₂×#41	1	24	yes	—
1016	C₂×D₄	C₂⁵	1	24	yes	—
1017	C₂×D₄	C₂⁵	1	24	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	12	yes	—
1022	C₂×D₄	C₂⁵	1	4	yes	—
1023	C₂×D₄	C₂⁵	1	8	yes	—
1024	C₂×D₄	C₂⁵	1	24	yes	—
1025	C₂×D₄	C₂⁵	1	24	yes	—
1026	C₂×D₄	C₂⁵	1	24	yes	—
1027	C₂×D₄	C₂⁵	1	24	yes	—
1028	C₂×D₄	C₂⁵	1	24	yes	—
1029	C₂×D₄	C₂⁵	1	48	yes	—
1030	C₂×D₄	C₂⁵	1	12	yes	—
1031	C₂²×C₄	—	2	12	no	—
1032	C₂²×C₄	—	2	24	no	—
1033	C₂²×C₄	—	2	4	no	—
1034	C₂²×C₄	—	2	12	no	—
1035	C₂²×C₄	—	2	12	no	—
1036	C₂²×C₄	—	2	12	no	—
1037	C₂²×C₄	—	2	96	no	—
1038	C₂²×C₄	—	2	24	no	—
1039	C₂²×C₄	—	2	24	no	—
1040	C₂²×C₄	—	4	6	no	—
1041	C₂²×C₄	—	4	12	no	—
1042	C₂²×C₄	—	4	12	no	—
1043	C₂²×C₄	—	4	24	no	—
1044	C₂²×C₄	—	4	6	no	—
1045	C₂²×C₄	—	4	12	no	—
1046	C₂²×C₄	—	4	12	no	—
1047	C₂²×C₄	—	4	4	no	—
1048	C₂²×C₄	—	4	6	no	—
1049	C₂²×C₄	—	4	12	no	—
1050	C₂²×C₄	—	4	6	no	—
1051	C₂²×C₄	—	4	12	no	—
1052	C₂²×C₄	—	4	12	no	—
1053	C₂²×C₄	—	8	48	no	—
1054	C₂²×C₄	C₂×#41	1	24	yes	—
1055	C₂²×C₄	C₂⁵	1	12	yes	—
1056	C₂²×C₄	C₂⁵	1	24	yes	—
1057	C₂²×C₄	C₂⁵	1	24	yes	—
1058	C₂²×C₄	C₂⁵	1	24	yes	—
1059	C₂²×C₄	C₂⁵	1	12	yes	—
1060	C₂²×C₄	C₂⁵	1	12	yes	—
1061	C₂²×C₄	C₂⁵	1	12	yes	—
1062	C₂²×C₄	C₂⁵	1	4	yes	—
1063	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1064	C₂²×C₄	C₂⁵	1	3	yes	—
1065	C₂²×C₄	C₂⁵	1	2	yes	—
1066	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1067	C₂²×C₄	C₂⁵	1	3	yes	—
1068	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1069	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1070	C₂²×C₄	C₂⁵	1	2	yes	—
1071	C₂²×C₄	C₂⁵	1	6	yes	—
1072	C₂²×C₄	C₂⁵	1	3	yes	—
1073	C₂²×C₄	C₂⁵	1	3	yes	—
1074	C₂²×C₄	C₂⁵	1	3	yes	—
1075	C₂²×C₄	C₂⁵	1	2	yes	—
1076	C₂²×C₄	C₂⁵	1	6	yes	—
1077	C₂²×C₄	C₂⁵	1	6	yes	—
1078	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1079	C₂²×C₄	C₂⁵	1	12	yes	—
1080	C₂²×C₄	C₂⁵	1	8	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	12	yes	—
1085	C₂²×C₄	C₂⁵	1	24	yes	—
1086	C₂²×C₄	C₂⁵	1	24	yes	—
1087	C₂²×C₄	C₂⁵	1	24	yes	—
1088	C₂²×C₄	C₂⁵	1	24	yes	—
1089	C₂²×C₄	C₂⁵	1	24	yes	—
1090	C₂²×C₄	C₂⁵	1	24	yes	—
1091	C₂²×C₄	C₂⁵	1	48	yes	—
1092	C₂²×C₄	C₂⁵	1	12	yes	—
1093	C₂²×C₄	C₂⁵	1	3	yes	—
1094	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1095	C₄⋊C₄	C₂⁵	1	12	yes	—
1096	C₄⋊C₄	C₂⁵	1	4	yes	—
1097	C₄⋊C₄	C₂⁵	1	12	yes	—
1098	C₄⋊C₄	C₂⁵	1	4	yes	—
1099	C₄⋊C₄	C₂⁵	1	12	yes	—
1100	C₄⋊C₄	C₂⁵	1	12	yes	—
1101	C₄⋊C₄	C₂⁵	1	24	yes	—
1102	C₄⋊C₄	C₂⁵	1	24	yes	—
1103	C₄⋊C₄	C₂⁵	1	12	yes	—
1104	C₄⋊C₄	C₂⁵	1	24	yes	—
1105	C₄⋊C₄	C₂⁵	1	24	yes	—
1106	C₄⋊C₄	C₂⁵	1	48	yes	—
1107	C₄⋊C₄	C₂⁵	1	24	yes	—
1108	C₄⋊C₄	C₂⁵	1	24	yes	—
1109	C₄⋊C₄	C₂⁵	1	12	yes	—
1110	C₄⋊C₄	C₂⁵	1	12	yes	—
1111	C₄⋊C₄	C₂⁵	1	12	yes	—
1112	C₄⋊C₄	C₂⁵	1	12	yes	—
1113	C₄⋊C₄	C₂⁵	1	12	yes	—
1114	C₄⋊C₄	C₂⁵	1	12	yes	—
1115	C₄⋊C₄	C₂⁵	1	12	yes	—
1116	C₄⋊C₄	C₂⁵	1	48	yes	—
1117	C₄⋊C₄	C₂⁵	1	48	yes	—
1118	C₄⋊C₄	C₂⁵	1	4	yes	—
1119	C₄⋊C₄	C₂⁵	1	8	yes	—
1120	C₄⋊C₄	C₂⁵	1	4	yes	—
1121	C₄⋊C₄	C₂⁵	1	24	yes	—
1122	C₄⋊C₄	C₂⁵	1	24	yes	—
1123	C₄⋊C₄	C₂⁵	1	24	yes	—
1124	C₄⋊C₄	C₂⁵	1	24	yes	—
1125	C₄⋊C₄	C₂⁵	1	24	yes	—
1126	C₄⋊C₄	C₂⁵	1	8	yes	—
1127	C₄⋊C₄	C₂⁵	1	24	yes	—
1128	C₄⋊C₄	C₂⁵	1	24	yes	—
1129	C₄⋊C₄	C₂⁵	1	24	yes	—
1130	C₄⋊C₄	C₂⁵	1	24	yes	—
1131	C₄⋊C₄	C₂⁵	1	8	yes	—
1132	C₂²⋊C₄	C₂⁵	1	24	yes	—
1133	C₂²⋊C₄	C₂⁵	1	12	yes	—
1134	C₂²⋊C₄	C₂⁵	1	12	yes	—
1135	C₂²⋊C₄	C₂⁵	1	4	yes	—
1136	C₂²⋊C₄	C₂⁵	1	4	yes	—
1137	C₂²⋊C₄	C₂⁵	1	24	yes	—
1138	C₂²⋊C₄	C₂⁵	1	24	yes	—
1139	C₂²⋊C₄	C₂⁵	1	24	yes	—
1140	C₂²⋊C₄	C₂⁵	1	48	yes	—
1141	C₂²⋊C₄	C₂⁵	1	24	yes	—
1142	C₂²⋊C₄	C₂⁵	1	24	yes	—
1143	C₂²⋊C₄	C₂⁵	1	24	yes	—
1144	C₂²⋊C₄	C₂⁵	1	24	yes	—
1145	C₂²⋊C₄	C₂⁵	1	24	yes	—
1146	C₂²⋊C₄	C₂⁵	1	12	yes	—
1147	C₂²⋊C₄	C₂⁵	1	12	yes	—
1148	C₂²⋊C₄	C₂⁵	1	12	yes	—
1149	C₂²⋊C₄	C₂⁵	1	12	yes	—
1150	C₂²⋊C₄	C₂⁵	1	48	yes	—
1151	C₂²⋊C₄	C₂⁵	1	48	yes	—
1152	C₂²⋊C₄	C₂⁵	1	48	yes	—
1153	C₂²⋊C₄	C₂⁵	1	48	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	24	yes	—
1158	C₂²⋊C₄	C₂⁵	1	24	yes	—
1159	C₂²⋊C₄	C₂⁵	1	8	yes	—
1160	C₂²⋊C₄	C₂⁵	1	24	yes	—
1161	C₂²⋊C₄	C₂⁵	1	24	yes	—
1162	C₂²⋊C₄	C₂⁵	1	8	yes	—
1163	C₂²⋊C₄	C₂⁵	1	8	yes	—
1164	C₂²⋊C₄	C₂⁵	1	8	yes	—
1165	C₄²	C₂⁵	1	4	yes	—
1166	C₄²	C₂⁵	1	12	yes	—
1167	C₄²	C₂⁵	1	12	yes	—
1168	C₄²	C₂⁵	1	12	yes	—
1169	C₄²	C₂⁵	1	4	yes	—
1170	C₄²	C₂⁵	1	12	yes	—
1171	C₄²	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	24	yes	—
1176	C₄²	C₂⁵	1	48	yes	—
1177	C₄²	C₂⁵	1	24	yes	—
1178	C₄²	C₂⁵	1	24	yes	—
1179	C₄²	C₂⁵	1	12	yes	—
1180	C₄²	C₂⁵	1	12	yes	—
1181	C₄²	C₂⁵	1	24	yes	—
1182	C₂³	—	2	6	no	—
1183	C₂³	—	2	6	no	—
1184	C₂³	—	2	2	no	—
1185	C₂³	—	2	4	no	—
1186	C₂³	—	2	6	no	—
1187	C₂³	—	2	12	no	—
1188	C₂³	—	2	4	no	—
1189	C₂³	—	2	12	no	—
1190	C₂³	—	2	6	no	—
1191	C₂³	—	2	2	no	—
1192	C₂³	—	2	6	no	—
1193	C₂³	—	2	4	no	—
1194	C₂³	—	2	12	no	—
1195	C₂³	—	2	2	no	—
1196	C₂³	—	2	24	no	—
1197	C₂³	—	2	48	no	—
1198	C₂³	—	4	24	no	—
1199	C₂³	—	4	12	no	—
1200	C₂³	—	4	12	no	—
1201	C₂³	—	4	24	no	—
1202	C₂³	—	8	24	no	—
1203	C₂³	—	8	48	no	—
1204	C₂³	C₂²×#41	1	12	yes	—
1205	C₂³	C₂⁶	1	2	yes	—
1206	C₂³	C₂⁶	1	12	yes	—
1207	C₂³	C₂⁶	1	6	yes	—
1208	C₂³	C₂⁶	1	4	yes	—
1209	C₂³	C₂⁶	1	6	yes	—
1210	C₂³	C₂⁶	1	1	yes	characteristic
1211	Q₈	—	2	48	no	—
1212	Q₈	—	2	24	no	—
1213	Q₈	—	2	24	no	—
1214	Q₈	—	2	8	no	—
1215	Q₈	—	4	24	no	—
1216	Q₈	—	4	48	no	—
1217	Q₈	—	4	8	no	—
1218	Q₈	C₂²×#41	1	16	yes	—
1219	D₄	—	2	48	no	—
1220	D₄	—	2	48	no	—
1221	D₄	—	2	48	no	—
1222	D₄	—	2	48	no	—
1223	D₄	—	2	24	no	—
1224	D₄	—	2	24	no	—
1225	D₄	—	2	8	no	—
1226	D₄	—	4	24	no	—
1227	D₄	—	4	48	no	—
1228	D₄	—	4	24	no	—
1229	D₄	—	4	8	no	—
1230	D₄	—	4	24	no	—
1231	D₄	—	4	24	no	—
1232	D₄	—	4	24	no	—
1233	D₄	C₂²×#41	1	48	yes	—
1234	C₂×C₄	—	2	2	no	—
1235	C₂×C₄	—	2	4	no	—
1236	C₂×C₄	—	2	6	no	—
1237	C₂×C₄	—	2	12	no	—
1238	C₂×C₄	—	2	24	no	—
1239	C₂×C₄	—	2	48	no	—
1240	C₂×C₄	—	2	2	no	—
1241	C₂×C₄	—	2	6	no	—
1242	C₂×C₄	—	2	12	no	—
1243	C₂×C₄	—	2	12	no	—
1244	C₂×C₄	—	2	6	no	—
1245	C₂×C₄	—	2	2	no	—
1246	C₂×C₄	—	2	2	no	—
1247	C₂×C₄	—	2	6	no	—
1248	C₂×C₄	—	2	6	no	—
1249	C₂×C₄	—	2	4	no	—
1250	C₂×C₄	—	2	2	no	—
1251	C₂×C₄	—	2	4	no	—
1252	C₂×C₄	—	2	8	no	—
1253	C₂×C₄	—	2	24	no	—
1254	C₂×C₄	—	2	24	no	—
1255	C₂×C₄	—	2	24	no	—
1256	C₂×C₄	—	2	48	no	—
1257	C₂×C₄	—	2	48	no	—
1258	C₂×C₄	—	4	12	no	—
1259	C₂×C₄	—	4	24	no	—
1260	C₂×C₄	—	4	24	no	—
1261	C₂×C₄	—	4	48	no	—
1262	C₂×C₄	—	4	12	no	—
1263	C₂×C₄	—	4	24	no	—
1264	C₂×C₄	—	4	24	no	—
1265	C₂×C₄	—	4	8	no	—
1266	C₂×C₄	—	4	12	no	—
1267	C₂×C₄	—	4	24	no	—
1268	C₂×C₄	—	4	12	no	—
1269	C₂×C₄	—	4	24	no	—
1270	C₂×C₄	—	4	24	no	—
1271	C₂×C₄	C₂²×#41	1	12	yes	—
1272	C₂×C₄	C₂²×#41	1	4	yes	—
1273	C₂×C₄	C₂²×#41	1	48	yes	—
1274	C₂×C₄	C₂⁶	1	2	yes	—
1275	C₂×C₄	C₂⁶	1	6	yes	—
1276	C₂×C₄	C₂⁶	1	4	yes	—
1277	C₂×C₄	C₂⁶	1	2	yes	—
1278	C₂×C₄	C₂⁶	1	6	yes	—
1279	C₂×C₄	C₂⁶	1	2	yes	—
1280	C₂×C₄	C₂⁶	1	2	yes	—
1281	C₂×C₄	C₂⁶	1	4	yes	—
1282	C₂×C₄	C₂⁶	1	12	yes	—
1283	C₂×C₄	C₂⁶	1	6	yes	—
1284	C₂×C₄	C₂⁶	1	6	yes	—
1285	C₂×C₄	C₂⁶	1	6	yes	—
1286	C₂×C₄	C₂⁶	1	4	yes	—
1287	C₂×C₄	C₂⁶	1	12	yes	—
1288	C₂×C₄	C₂⁶	1	12	yes	—
1289	C₂×C₄	C₂⁶	1	2	yes	—
1290	C₂×C₄	C₂⁶	1	6	yes	—
1291	C₂×C₄	C₂⁶	1	2	yes	—
1292	C₂²	—	2	6	no	—
1293	C₂²	—	2	6	no	—
1294	C₂²	—	2	24	no	—
1295	C₂²	—	2	2	no	—
1296	C₂²	—	2	4	no	—
1297	C₂²	—	2	6	no	—
1298	C₂²	—	2	12	no	—
1299	C₂²	—	2	4	no	—
1300	C₂²	—	2	12	no	—
1301	C₂²	—	2	6	no	—
1302	C₂²	—	2	2	no	—
1303	C₂²	—	2	6	no	—
1304	C₂²	—	2	4	no	—
1305	C₂²	—	2	12	no	—
1306	C₂²	—	2	2	no	—
1307	C₂²	—	4	8	no	—
1308	C₂²	—	4	12	no	—
1309	C₂²	—	4	24	no	—
1310	C₂²	—	4	4	no	—
1311	C₂²	—	8	24	no	—
1312	C₂²	—	8	48	no	—
1313	C₂²	C₂³×#41	1	12	yes	—
1314	C₂²	C₂³×#41	1	2	yes	—
1315	C₂²	H(7,𝔽₂)	1	2	yes	—
1316	C₂²	2₋¹⁺⁶	1	2	yes	—
1317	C₂²	C₂⁷	1	1	yes	characteristic
1318	C₄	—	2	2	no	—
1319	C₄	—	2	4	no	—
1320	C₄	—	2	6	no	—
1321	C₄	—	2	12	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	2	6	no	—
1324	C₄	—	2	12	no	—
1325	C₄	—	2	12	no	—
1326	C₄	—	2	6	no	—
1327	C₄	—	2	2	no	—
1328	C₄	—	2	2	no	—
1329	C₄	—	2	6	no	—
1330	C₄	—	2	6	no	—
1331	C₄	—	2	4	no	—
1332	C₄	—	2	2	no	—
1333	C₄	—	2	4	no	—
1334	C₄	C₂³×#41	1	12	yes	—
1335	C₄	C₂³×#41	1	4	yes	—
1336	C₂	—	2	12	no	—
1337	C₂	—	4	4	no	—
1338	C₂	—	4	6	no	—
1339	C₂	—	4	12	no	—
1340	C₂	—	4	2	no	—
1341	C₂	#62857	1	4	yes	direct product factor
1342	C₂	C₂⁴×#41	1	1	yes	characteristic
1343	C₂	C₂×H(7,𝔽₂)	1	1	yes	characteristic
1344	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. #62857	C₂	direct (N × H)
2. C₂×#3510	C₂	semidirect
3. C₂×#3500	C₂	semidirect
4. C₂×#3495	C₂	semidirect
5. C₂×#3489	C₂	semidirect
6. C₂×#3511	C₂	semidirect
7. C₂×#3494	C₂	semidirect
8. C₂×#3503	C₂	semidirect
9. C₂×#3488	C₂	semidirect
10. C₂×#3524	C₂	semidirect
11. C₂×#3518	C₂	semidirect
12. C₂×#3522	C₂	semidirect
13. C₂×#3516	C₂	semidirect
14. C₂×#3521	C₂	semidirect
15. C₂×#3514	C₂	semidirect
16. C₂×#3520	C₂	semidirect
17. C₂×#3513	C₂	semidirect
18. C₂×#3455	C₂	semidirect
19. C₂×#3461	C₂	semidirect
20. C₂×#3460	C₂	semidirect
21. C₂²×#542	C₂	semidirect
22. C₂×C₄×2₋¹⁺⁴	C₂	semidirect
23. C₂×C₄×H(5,𝔽₂)	C₂	semidirect
24. C₂×#3428	C₂	semidirect
28. #3524	C₂²	semidirect
29. #3522	C₂²	semidirect
30. #3521	C₂²	semidirect
31. #3520	C₂²	semidirect
32. #3518	C₂²	semidirect
33. #3516	C₂²	semidirect
34. #3514	C₂²	semidirect
35. #3513	C₂²	semidirect
36. #3511	C₂²	semidirect
37. #3510	C₂²	semidirect
38. #3503	C₂²	semidirect
39. #3500	C₂²	semidirect
40. #3495	C₂²	semidirect
41. #3494	C₂²	semidirect
42. #3489	C₂²	semidirect
43. #3488	C₂²	semidirect
44. C₂×#559	C₂²	semidirect
45. C₂×#559	C₂²	semidirect
46. C₂×Q₈²	C₂²	semidirect
47. C₂×#557	C₂²	semidirect
48. C₂×#556	C₂²	semidirect
49. C₂×#556	C₂²	semidirect
50. C₂×#556	C₂²	semidirect
51. C₂×#556	C₂²	semidirect
52. C₂×#555	C₂²	semidirect
53. C₂×#555	C₂²	semidirect
54. C₂×#554	C₂²	semidirect
55. C₂×#554	C₂²	semidirect
56. C₂×#554	C₂²	semidirect
57. C₂×#553	C₂²	semidirect
58. C₂×#553	C₂²	semidirect
59. C₂×#553	C₂²	semidirect
60. C₂×#552	C₂²	semidirect
61. C₂×#552	C₂²	semidirect
62. C₂×#552	C₂²	semidirect
63. C₂×#551	C₂²	semidirect
64. C₂×#551	C₂²	semidirect
65. C₂×#551	C₂²	semidirect
66. C₂×#551	C₂²	semidirect
68. C₂×D₄×Q₈	C₂²	semidirect
69. C₂×D₄×Q₈	C₂²	semidirect
71. C₂×#548	C₂²	semidirect
72. C₂×#548	C₂²	semidirect
73. C₂×#548	C₂²	semidirect
74. C₂×#548	C₂²	semidirect
75. C₂×#547	C₂²	semidirect
76. C₂×#547	C₂²	semidirect
77. C₂×#547	C₂²	semidirect
79. C₂×#546	C₂²	semidirect
80. C₂×#546	C₂²	semidirect
81. C₂×#546	C₂²	semidirect
82. C₂×#546	C₂²	semidirect
84. #3461	C₂²	semidirect
85. #3460	C₂²	semidirect
86. C₂×#544	C₂²	semidirect
87. C₂×#544	C₂²	semidirect
88. #3455	C₂²	semidirect
89. C₂×#542	C₂²	semidirect
90. C₂×#542	C₂²	semidirect
91. C₂×#542	C₂²	semidirect
92. C₂×#542	C₂²	semidirect
93. C₂×#542	C₂²	semidirect
94. C₂×#542	C₂²	semidirect
95. C₂×#542	C₂²	semidirect
96. C₂×#542	C₂²	semidirect
97. C₂×#542	C₂²	semidirect
98. C₂×#542	C₂²	semidirect
99. C₂×#542	C₂²	semidirect
100. C₂×#542	C₂²	semidirect
101. C₂×#542	C₂²	semidirect
102. C₂×#542	C₂²	semidirect
103. C₂×#541	C₂²	semidirect
104. C₂×#541	C₂²	semidirect
105. C₂×#541	C₂²	semidirect
106. C₂×#540	C₂²	semidirect
107. C₂×#540	C₂²	semidirect
108. C₂×#540	C₂²	semidirect
109. C₂×#539	C₂²	semidirect
110. C₂×#539	C₂²	semidirect
111. C₂×#539	C₂²	semidirect
112. C₂×#538	C₂²	semidirect
113. C₂×#538	C₂²	semidirect
114. C₂×#538	C₂²	semidirect
116. C₂×#537	C₂²	semidirect
117. C₂×#536	C₂²	semidirect
118. C₂×#536	C₂²	semidirect
120. C₂×#535	C₂²	semidirect
121. C₂×#533	C₂²	semidirect
122. C₂×#533	C₂²	semidirect
123. C₂×#533	C₂²	semidirect
124. C₂×#532	C₂²	semidirect
125. C₂×#532	C₂²	semidirect
126. C₂×#532	C₂²	semidirect
127. C₂²×C₄⋊Q₈	C₂²	semidirect
128. C₂×#529	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×#124	C₂²	semidirect
139. C₂²×#124	C₂²	semidirect
141. C₂×#525	C₂²	semidirect
142. C₂×#525	C₂²	semidirect
143. C₂²×#123	C₂²	semidirect
144. C₂²×C₂²⋊Q₈	C₂²	semidirect
145. C₂²×C₂²⋊Q₈	C₂²	semidirect
147. C₄×2₋¹⁺⁴	C₂²	semidirect
148. C₄×H(5,𝔽₂)	C₂²	semidirect
149. #3428	C₂²	semidirect
152. C₂×#520	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×#519	C₂²	semidirect
161. C₂×#519	C₂²	semidirect
162. C₂×#519	C₂²	semidirect
163. C₂×#519	C₂²	semidirect
164. C₂×#518	C₂²	semidirect
165. C₂×#518	C₂²	semidirect
166. C₂×#518	C₂²	semidirect
167. C₂×#518	C₂²	semidirect
170. C₂×C₄×#41	C₂²	semidirect
171. C₂×C₄×#41	C₂²	semidirect
172. C₂×C₄×#41	C₂²	semidirect
173. C₂×C₄×#41	C₂²	semidirect
174. C₂×C₄×#41	C₂²	semidirect
175. C₂×C₄×#41	C₂²	semidirect
176. C₂²×C₄×Q₈	C₂²	semidirect
177. C₂²×C₄×Q₈	C₂²	semidirect
178. C₂²×C₄×D₄	C₂²	semidirect
179. C₂²×C₄×D₄	C₂²	semidirect
180. C₂²×#117	C₂²	semidirect
181. C₂²×#117	C₂²	semidirect
207. #559	C₂³	semidirect
208. #559	C₂³	semidirect
209. Q₈²	C₂³	semidirect
210. #557	C₂³	semidirect
211. #556	C₂³	semidirect
212. #556	C₂³	semidirect
213. #556	C₂³	semidirect
214. #556	C₂³	semidirect
215. #555	C₂³	semidirect
216. #555	C₂³	semidirect
217. #554	C₂³	semidirect
218. #554	C₂³	semidirect
219. #554	C₂³	semidirect
220. #553	C₂³	semidirect
221. #553	C₂³	semidirect
222. #553	C₂³	semidirect
223. #552	C₂³	semidirect
224. #552	C₂³	semidirect
225. #552	C₂³	semidirect
226. #551	C₂³	semidirect
227. #551	C₂³	semidirect
228. #551	C₂³	semidirect
229. #551	C₂³	semidirect
231. D₄×Q₈	C₂³	semidirect
232. D₄×Q₈	C₂³	semidirect
234. #548	C₂³	semidirect
235. #548	C₂³	semidirect
236. #548	C₂³	semidirect
237. #548	C₂³	semidirect
238. #547	C₂³	semidirect
239. #547	C₂³	semidirect
240. #547	C₂³	semidirect
242. #546	C₂³	semidirect
243. #546	C₂³	semidirect
244. #546	C₂³	semidirect
245. #546	C₂³	semidirect
247. #544	C₂³	semidirect
248. #544	C₂³	semidirect
249. #542	C₂³	semidirect
250. #542	C₂³	semidirect
251. #542	C₂³	semidirect
252. #542	C₂³	semidirect
253. #542	C₂³	semidirect
254. #542	C₂³	semidirect
255. #542	C₂³	semidirect
256. #542	C₂³	semidirect
257. #542	C₂³	semidirect
258. #542	C₂³	semidirect
259. #542	C₂³	semidirect
260. #542	C₂³	semidirect
261. #542	C₂³	semidirect
262. #541	C₂³	semidirect
263. #541	C₂³	semidirect
264. #541	C₂³	semidirect
265. #540	C₂³	semidirect
266. #540	C₂³	semidirect
267. #540	C₂³	semidirect
268. #539	C₂³	semidirect
269. #539	C₂³	semidirect
270. #539	C₂³	semidirect
271. #538	C₂³	semidirect
272. #538	C₂³	semidirect
273. #538	C₂³	semidirect
275. #537	C₂³	semidirect
276. #536	C₂³	semidirect
277. #536	C₂³	semidirect
279. #535	C₂³	semidirect
280. #533	C₂³	semidirect
281. #533	C₂³	semidirect
282. #533	C₂³	semidirect
283. #532	C₂³	semidirect
284. #532	C₂³	semidirect
285. #532	C₂³	semidirect
295. C₂×C₄⋊Q₈	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
305. #529	C₂³	semidirect
306. #529	C₂³	semidirect
320. C₂×#126	C₂³	semidirect
345. C₂×#124	C₂³	semidirect
346. C₂×#124	C₂³	semidirect
348. #525	C₂³	semidirect
349. #525	C₂³	semidirect
367. C₂×#123	C₂³	semidirect
391. C₂×C₂²⋊Q₈	C₂³	semidirect
392. C₂×C₂²⋊Q₈	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. #520	C₂³	semidirect
428. #519	C₂³	semidirect
429. #519	C₂³	semidirect
430. #519	C₂³	semidirect
431. #519	C₂³	semidirect
432. #518	C₂³	semidirect
433. #518	C₂³	semidirect
434. #518	C₂³	semidirect
435. #518	C₂³	semidirect
438. C₄×#41	C₂³	semidirect
439. C₄×#41	C₂³	semidirect
440. C₄×#41	C₂³	semidirect
441. C₄×#41	C₂³	semidirect
442. C₄×#41	C₂³	semidirect
443. C₄×#41	C₂³	semidirect
466. C₂×C₄×Q₈	C₂³	semidirect
467. C₂×C₄×Q₈	C₂³	semidirect
506. C₂×C₄×D₄	C₂³	semidirect
507. C₂×C₄×D₄	C₂³	semidirect
531. C₂×#117	C₂³	semidirect
532. C₂×#117	C₂³	semidirect
572. C₂×#41	#41	semidirect
976. #41	C₂×#41	semidirect
1341. C₂	#62857	direct (N × H)

Maximal subgroups

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

subgroup	index
#62857	2
C₂×#3510	2
C₂×#3500	2
C₂×#3495	2
C₂×#3489	2
C₂×#3511	2
C₂×#3494	2
C₂×#3503	2
C₂×#3488	2
C₂×#3524	2
C₂×#3518	2
C₂×#3522	2
C₂×#3516	2
C₂×#3521	2
C₂×#3514	2
C₂×#3520	2
C₂×#3513	2
C₂×#3455	2
C₂×#3461	2
C₂×#3460	2
C₂²×#542	2
C₂×C₄×2₋¹⁺⁴	2
C₂×C₄×H(5,𝔽₂)	2
C₂×#3428	2

Subgroups — C2×#62857 #10586013

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#62857 #10586013