Subgroups — C₂²×#62800 #72301083

Order 1024.

506993 conjugacy classes of subgroups.

The subgroup lattice has 1551 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#62800	C₂	1	192	yes	maximal, direct product factor
2	C₂²×#3511	C₂	1	3	yes	maximal, complemented
3	C₂²×#3508	C₂	1	3	yes	maximal, complemented
4	C₂²×#3494	C₂	1	6	yes	maximal, complemented
5	C₂²×#3503	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×#3498	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂²×#3488	C₂	1	2	yes	maximal, complemented
8	C₂²×#3517	C₂	1	2	yes	maximal, complemented
9	C₂²×#3522	C₂	1	2	yes	maximal, complemented
10	C₂²×#3514	C₂	1	6	yes	maximal, complemented
11	C₂²×#3519	C₂	1	6	yes	maximal, complemented
12	C₂²×#3483	C₂	1	2	yes	maximal, complemented
13	C₂²×#3481	C₂	1	6	yes	maximal, complemented
14	C₂²×#3480	C₂	1	2	yes	maximal, complemented
15	C₂²×D₄×#41	C₂	1	6	yes	maximal, complemented
16	C₂²×#3460	C₂	1	6	yes	maximal, complemented
17	C₂²×#3444	C₂	1	3	yes	maximal, complemented
18	C₂³×#532	C₂	1	3	yes	maximal, complemented
19	C₂²×C₄×H(5,𝔽₂)	C₂	1	2	yes	maximal, complemented
20	C₂³×C₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂³×H(5,𝔽₂)	C₂²	1	2	yes	—
22	C₂⁴×#41	C₂²	1	1	yes	characteristic
23	C₂⁴×#41	C₂²	1	6	yes	complemented
24	#62800	C₂²	1	4096	yes	direct product factor
25	C₂×#3511	C₂²	1	288	yes	complemented
26	C₂×#3508	C₂²	1	288	yes	complemented
27	C₂×#3494	C₂²	1	576	yes	complemented
28	C₂×#3503	C₂²	1	96	yes	complemented
29	C₂×#3498	C₂²	1	96	yes	complemented
30	C₂×#3488	C₂²	1	192	yes	complemented
31	C₂×#3517	C₂²	1	192	yes	complemented
32	C₂×#3522	C₂²	1	192	yes	complemented
33	C₂×#3514	C₂²	1	576	yes	complemented
34	C₂×#3519	C₂²	1	576	yes	complemented
35	C₂×#3483	C₂²	1	192	yes	complemented
36	C₂×#3481	C₂²	1	576	yes	complemented
37	C₂²×Q₈²	C₂²	1	2	yes	complemented
38	C₂×#3480	C₂²	1	192	yes	complemented
39	C₂²×#559	C₂²	1	6	yes	complemented
40	C₂²×#559	C₂²	1	6	yes	complemented
41	C₂²×#557	C₂²	1	2	yes	complemented
42	C₂²×#555	C₂²	1	6	yes	complemented
43	C₂²×#555	C₂²	1	12	yes	complemented
44	C₂²×#556	C₂²	1	6	yes	complemented
45	C₂²×#553	C₂²	1	12	yes	complemented
46	C₂²×#553	C₂²	1	12	yes	complemented
47	C₂²×#553	C₂²	1	12	yes	complemented
48	C₂²×#551	C₂²	1	24	yes	complemented
49	C₂²×#554	C₂²	1	6	yes	complemented
50	C₂²×#554	C₂²	1	6	yes	complemented
51	C₂×D₄×#41	C₂²	1	576	yes	complemented
52	C₂²×#550	C₂²	1	6	yes	complemented
53	C₂²×#550	C₂²	1	2	yes	complemented
54	C₂²×#550	C₂²	1	6	yes	complemented
55	C₂²×#550	C₂²	1	2	yes	complemented
56	C₂²×#550	C₂²	1	4	yes	complemented
57	C₂²×#547	C₂²	1	12	yes	complemented
58	C₂²×#547	C₂²	1	6	yes	complemented
59	C₂²×#548	C₂²	1	12	yes	complemented
60	C₂²×#548	C₂²	1	4	yes	complemented
61	C₂²×#546	C₂²	1	24	yes	complemented
62	C₂²×#546	C₂²	1	12	yes	complemented
63	C₂²×#546	C₂²	1	12	yes	complemented
64	C₂²×#546	C₂²	1	12	yes	complemented
65	C₂²×D₄×Q₈	C₂²	1	6	yes	complemented
66	C₂²×D₄²	C₂²	1	12	yes	complemented
67	C₂²×D₄²	C₂²	1	6	yes	complemented
68	C₂²×D₄²	C₂²	1	6	yes	complemented
69	C₂×#3460	C₂²	1	576	yes	complemented
70	C₂²×#542	C₂²	1	12	yes	complemented
71	C₂²×#542	C₂²	1	12	yes	complemented
72	C₂²×#540	C₂²	1	12	yes	complemented
73	C₂²×#540	C₂²	1	12	yes	complemented
74	C₂²×#544	C₂²	1	6	yes	complemented
75	C₂²×#537	C₂²	1	6	yes	complemented
76	C₂²×#535	C₂²	1	6	yes	complemented
77	C₂²×#535	C₂²	1	6	yes	complemented
78	C₂²×#538	C₂²	1	24	yes	complemented
79	C₂×#3444	C₂²	1	288	yes	complemented
80	C₂²×#533	C₂²	1	1	yes	characteristic, complemented
81	C₂²×#533	C₂²	1	3	yes	complemented
82	C₂²×#533	C₂²	1	3	yes	complemented
83	C₂²×#532	C₂²	1	3	yes	complemented
84	C₂²×#532	C₂²	1	6	yes	complemented
85	C₂²×#532	C₂²	1	6	yes	complemented
86	C₂²×#532	C₂²	1	6	yes	complemented
87	C₂²×#532	C₂²	1	6	yes	complemented
88	C₂²×#532	C₂²	1	6	yes	complemented
89	C₂²×#532	C₂²	1	6	yes	complemented
90	C₂²×#532	C₂²	1	6	yes	complemented
91	C₂²×#532	C₂²	1	3	yes	complemented
92	C₂²×#532	C₂²	1	3	yes	complemented
93	C₂²×#532	C₂²	1	12	yes	complemented
94	C₂²×#532	C₂²	1	288	yes	complemented
95	C₂³×C₄⋊Q₈	C₂²	1	3	yes	complemented
96	C₂³×#127	C₂²	1	3	yes	complemented
97	C₂²×#529	C₂²	1	6	yes	complemented
98	C₂²×#529	C₂²	1	6	yes	complemented
99	C₂²×#529	C₂²	1	6	yes	complemented
100	C₂²×#529	C₂²	1	6	yes	complemented
101	C₂²×#529	C₂²	1	6	yes	complemented
102	C₂²×#529	C₂²	1	6	yes	complemented
103	C₂²×#529	C₂²	1	12	yes	complemented
104	C₂³×#124	C₂²	1	6	yes	complemented
105	C₂²×#525	C₂²	1	6	yes	complemented
106	C₂²×#525	C₂²	1	6	yes	complemented
107	C₂²×#525	C₂²	1	6	yes	complemented
108	C₂²×#525	C₂²	1	24	yes	complemented
109	C₂³×#121	C₂²	1	6	yes	complemented
110	C₂³×#121	C₂²	1	6	yes	complemented
111	C₂×C₄×H(5,𝔽₂)	C₂²	1	192	yes	complemented
112	C₂²×#520	C₂²	1	2	yes	—
113	C₂²×#520	C₂²	1	4	yes	complemented
114	C₂²×#520	C₂²	1	6	yes	complemented
115	C₂²×#518	C₂²	1	12	yes	complemented
116	C₂²×#518	C₂²	1	6	yes	complemented
117	C₂²×C₄×#41	C₂²	1	1	yes	characteristic
118	C₂²×C₄×#41	C₂²	1	1	yes	characteristic
119	C₂²×C₄×#41	C₂²	1	3	yes	complemented
120	C₂²×C₄×#41	C₂²	1	3	yes	complemented
121	C₂²×C₄×#41	C₂²	1	1	yes	characteristic, complemented
122	C₂²×C₄×#41	C₂²	1	3	yes	complemented
123	C₂²×C₄×#41	C₂²	1	1	yes	characteristic, complemented
124	C₂²×C₄×#41	C₂²	1	3	yes	complemented
125	C₂²×C₄×#41	C₂²	1	6	yes	complemented
126	C₂²×C₄×#41	C₂²	1	4	yes	complemented
127	C₂²×C₄×#41	C₂²	1	6	yes	complemented
128	C₂²×C₄×#41	C₂²	1	6	yes	complemented
129	C₂²×C₄×#41	C₂²	1	96	yes	complemented
130	C₂³×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
131	C₂³×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
132	C₂³×C₄×D₄	C₂²	1	3	yes	complemented
133	C₂³×C₄×D₄	C₂²	1	3	yes	complemented
134	C₂³×C₄×D₄	C₂²	1	6	yes	complemented
135	C₂³×C₄×D₄	C₂²	1	12	yes	complemented
136	C₂³×C₄×D₄	C₂²	1	6	yes	complemented
137	C₂³×#117	C₂²	1	3	yes	complemented
138	C₂⁴×C₄²	C₂²	1	3	yes	complemented
139	C₂²×H(5,𝔽₂)	—	2	64	no	—
140	C₂²×H(5,𝔽₂)	C₂³	1	96	yes	—
141	C₂³×#41	—	2	32	no	—
142	C₂³×#41	—	4	96	no	—
143	C₂³×#41	C₂³	1	48	yes	—
144	C₂³×#41	C₂³	1	3	yes	—
145	C₂³×#41	C₂³	1	3	yes	—
146	C₂³×#41	C₂³	1	1	yes	characteristic
147	C₂³×#41	C₂³	1	6	yes	—
148	C₂³×#41	C₂³	1	6	yes	—
149	C₂³×#41	C₂³	1	4	yes	—
150	C₂³×#41	C₂³	1	12	yes	—
151	C₂³×#41	C₂³	1	12	yes	—
152	C₂³×#41	C₂³	1	12	yes	—
153	C₂³×#41	C₂³	1	6	yes	—
154	C₂³×#41	C₂³	1	1	yes	characteristic
155	C₂³×#41	C₂³	1	288	yes	complemented
156	C₂⁴×Q₈	C₂³	1	1	yes	characteristic
157	C₂⁴×Q₈	C₂³	1	6	yes	—
158	C₂⁴×D₄	C₂³	1	3	yes	—
159	C₂⁴×D₄	C₂³	1	6	yes	—
160	C₂⁴×D₄	C₂³	1	12	yes	—
161	C₂⁴×D₄	C₂³	1	12	yes	—
162	C₂⁴×D₄	C₂³	1	6	yes	—
163	C₂⁴×D₄	C₂³	1	6	yes	—
164	C₂⁵×C₄	C₂³	1	3	yes	—
165	C₂⁵×C₄	C₂³	1	3	yes	—
166	C₂⁵×C₄	C₂³	1	12	yes	—
167	C₂⁵×C₄	C₂³	1	3	yes	—
168	#3522	C₂³	1	2048	yes	complemented
169	#3519	C₂³	1	6144	yes	complemented
170	#3517	C₂³	1	2048	yes	complemented
171	#3514	C₂³	1	6144	yes	complemented
172	#3511	C₂³	1	3072	yes	complemented
173	#3508	C₂³	1	3072	yes	complemented
174	#3503	C₂³	1	1024	yes	complemented
175	#3498	C₂³	1	1024	yes	complemented
176	#3494	C₂³	1	6144	yes	complemented
177	#3488	C₂³	1	2048	yes	complemented
178	#3483	C₂³	1	2048	yes	complemented
179	#3481	C₂³	1	6144	yes	complemented
180	#3480	C₂³	1	2048	yes	complemented
181	C₂×#559	C₂³	1	288	yes	complemented
182	C₂×#559	C₂³	1	288	yes	complemented
183	C₂×Q₈²	C₂³	1	96	yes	complemented
184	C₂×#557	C₂³	1	96	yes	complemented
185	C₂×#556	C₂³	1	288	yes	complemented
186	C₂×#555	C₂³	1	288	yes	complemented
187	C₂×#555	C₂³	1	576	yes	complemented
188	C₂×#554	C₂³	1	288	yes	complemented
189	C₂×#554	C₂³	1	288	yes	complemented
190	C₂×#553	C₂³	1	576	yes	complemented
191	C₂×#553	C₂³	1	576	yes	complemented
192	C₂×#553	C₂³	1	576	yes	complemented
193	C₂×#551	C₂³	1	1152	yes	complemented
194	D₄×#41	C₂³	1	6144	yes	complemented
195	C₂×#550	C₂³	1	288	yes	complemented
196	C₂×#550	C₂³	1	96	yes	complemented
197	C₂×#550	C₂³	1	192	yes	complemented
198	C₂×#550	C₂³	1	96	yes	complemented
199	C₂×#550	C₂³	1	288	yes	complemented
200	C₂×D₄×Q₈	C₂³	1	288	yes	complemented
201	C₂×#548	C₂³	1	576	yes	complemented
202	C₂×#548	C₂³	1	192	yes	complemented
203	C₂×#547	C₂³	1	576	yes	complemented
204	C₂×#547	C₂³	1	288	yes	complemented
205	C₂×#546	C₂³	1	1152	yes	complemented
206	C₂×#546	C₂³	1	576	yes	complemented
207	C₂×#546	C₂³	1	576	yes	complemented
208	C₂×#546	C₂³	1	576	yes	complemented
209	C₂×D₄²	C₂³	1	576	yes	complemented
210	C₂×D₄²	C₂³	1	288	yes	complemented
211	C₂×D₄²	C₂³	1	288	yes	complemented
212	#3460	C₂³	1	6144	yes	complemented
213	C₂×#544	C₂³	1	288	yes	complemented
214	C₂×#542	C₂³	1	576	yes	complemented
215	C₂×#542	C₂³	1	576	yes	complemented
216	C₂×#540	C₂³	1	576	yes	complemented
217	C₂×#540	C₂³	1	576	yes	complemented
218	C₂×#538	C₂³	1	1152	yes	complemented
219	C₂×#537	C₂³	1	288	yes	complemented
220	C₂×#535	C₂³	1	288	yes	complemented
221	C₂×#535	C₂³	1	288	yes	complemented
222	#3444	C₂³	1	3072	yes	complemented
223	C₂×#533	C₂³	1	144	yes	complemented
224	C₂×#533	C₂³	1	144	yes	complemented
225	C₂×#533	C₂³	1	48	yes	complemented
226	C₂×#532	C₂³	1	288	yes	complemented
227	C₂×#532	C₂³	1	288	yes	complemented
228	C₂×#532	C₂³	1	144	yes	complemented
229	C₂×#532	C₂³	1	288	yes	complemented
230	C₂×#532	C₂³	1	144	yes	complemented
231	C₂×#532	C₂³	1	288	yes	complemented
232	C₂×#532	C₂³	1	144	yes	complemented
233	C₂×#532	C₂³	1	288	yes	complemented
234	C₂×#532	C₂³	1	288	yes	complemented
235	C₂×#532	C₂³	1	288	yes	complemented
236	C₂×#532	C₂³	1	576	yes	complemented
237	C₂×#532	C₂³	1	3072	yes	complemented
238	C₂²×C₄⋊Q₈	C₂³	1	3	yes	—
239	C₂²×C₄⋊Q₈	C₂³	1	6	yes	—
240	C₂²×C₄⋊Q₈	C₂³	1	6	yes	—
241	C₂²×C₄⋊Q₈	C₂³	1	6	yes	—
242	C₂²×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₂²×C₄⋊Q₈	C₂³	1	1	yes	characteristic
244	C₂²×C₄⋊Q₈	C₂³	1	12	yes	—
245	C₂²×C₄⋊Q₈	C₂³	1	144	yes	complemented
246	C₂²×#127	C₂³	1	3	yes	—
247	C₂²×#127	C₂³	1	6	yes	—
248	C₂²×#127	C₂³	1	6	yes	—
249	C₂²×#127	C₂³	1	6	yes	—
250	C₂²×#127	C₂³	1	12	yes	—
251	C₂²×#127	C₂³	1	144	yes	complemented
252	C₂×#529	C₂³	1	288	yes	complemented
253	C₂×#529	C₂³	1	288	yes	complemented
254	C₂×#529	C₂³	1	288	yes	complemented
255	C₂×#529	C₂³	1	288	yes	complemented
256	C₂×#529	C₂³	1	288	yes	complemented
257	C₂×#529	C₂³	1	288	yes	complemented
258	C₂×#529	C₂³	1	576	yes	complemented
259	C₂²×#126	C₂³	1	12	yes	—
260	C₂²×#126	C₂³	1	12	yes	—
261	C₂²×#126	C₂³	1	24	yes	—
262	C₂²×#125	C₂³	1	2	yes	—
263	C₂²×#125	C₂³	1	6	yes	—
264	C₂²×#125	C₂³	1	6	yes	—
265	C₂²×#125	C₂³	1	12	yes	—
266	C₂²×#124	C₂³	1	6	yes	—
267	C₂²×#124	C₂³	1	12	yes	—
268	C₂²×#124	C₂³	1	12	yes	—
269	C₂²×#124	C₂³	1	12	yes	—
270	C₂²×#124	C₂³	1	6	yes	—
271	C₂²×#124	C₂³	1	6	yes	—
272	C₂²×#124	C₂³	1	12	yes	—
273	C₂²×#124	C₂³	1	24	yes	—
274	C₂²×#124	C₂³	1	288	yes	complemented
275	C₂×#525	C₂³	1	288	yes	complemented
276	C₂×#525	C₂³	1	288	yes	complemented
277	C₂×#525	C₂³	1	288	yes	complemented
278	C₂×#525	C₂³	1	1152	yes	complemented
279	C₂²×#123	C₂³	1	12	yes	—
280	C₂²×#123	C₂³	1	12	yes	—
281	C₂²×#123	C₂³	1	12	yes	—
282	C₂²×#123	C₂³	1	24	yes	—
283	C₂²×#123	C₂³	1	24	yes	—
284	C₂²×#123	C₂³	1	24	yes	—
285	C₂²×C₂²⋊Q₈	C₂³	1	2	yes	—
286	C₂²×C₂²⋊Q₈	C₂³	1	2	yes	—
287	C₂²×C₂²⋊Q₈	C₂³	1	6	yes	—
288	C₂²×C₂²⋊Q₈	C₂³	1	6	yes	—
289	C₂²×C₂²⋊Q₈	C₂³	1	6	yes	—
290	C₂²×C₂²⋊Q₈	C₂³	1	6	yes	—
291	C₂²×C₂²⋊Q₈	C₂³	1	24	yes	—
292	C₂²×C₂²⋊Q₈	C₂³	1	24	yes	—
293	C₂²×C₂²⋊Q₈	C₂³	1	12	yes	—
294	C₂²×#121	C₂³	1	6	yes	—
295	C₂²×#121	C₂³	1	6	yes	—
296	C₂²×#121	C₂³	1	12	yes	—
297	C₂²×#121	C₂³	1	12	yes	—
298	C₂²×#121	C₂³	1	12	yes	—
299	C₂²×#121	C₂³	1	12	yes	—
300	C₂²×#121	C₂³	1	12	yes	—
301	C₂²×#121	C₂³	1	12	yes	—
302	C₂²×#121	C₂³	1	6	yes	—
303	C₂²×#121	C₂³	1	6	yes	—
304	C₂²×#121	C₂³	1	6	yes	—
305	C₂²×#121	C₂³	1	6	yes	—
306	C₂²×#121	C₂³	1	24	yes	—
307	C₂²×#121	C₂³	1	24	yes	—
308	C₂²×#121	C₂³	1	12	yes	—
309	C₂²×#121	C₂³	1	24	yes	—
310	C₂²×#121	C₂³	1	12	yes	—
311	C₂²×#121	C₂³	1	12	yes	—
312	C₂²×#121	C₂³	1	288	yes	complemented
313	C₂²×#121	C₂³	1	288	yes	complemented
314	C₂²×#120	C₂³	1	12	yes	—
315	C₂²×#120	C₂³	1	24	yes	—
316	C₂²×#120	C₂³	1	24	yes	—
317	C₄×H(5,𝔽₂)	C₂³	1	2048	yes	complemented
318	C₂×#520	C₂³	1	96	yes	—
319	C₂×#520	C₂³	1	192	yes	complemented
320	C₂×#520	C₂³	1	288	yes	complemented
321	C₂×#518	C₂³	1	576	yes	complemented
322	C₂×#518	C₂³	1	288	yes	complemented
323	C₂×C₄×#41	C₂³	1	48	yes	—
324	C₂×C₄×#41	C₂³	1	48	yes	—
325	C₂×C₄×#41	C₂³	1	144	yes	complemented
326	C₂×C₄×#41	C₂³	1	48	yes	complemented
327	C₂×C₄×#41	C₂³	1	144	yes	complemented
328	C₂×C₄×#41	C₂³	1	144	yes	complemented
329	C₂×C₄×#41	C₂³	1	144	yes	complemented
330	C₂×C₄×#41	C₂³	1	48	yes	complemented
331	C₂×C₄×#41	C₂³	1	288	yes	complemented
332	C₂×C₄×#41	C₂³	1	192	yes	complemented
333	C₂×C₄×#41	C₂³	1	288	yes	complemented
334	C₂×C₄×#41	C₂³	1	288	yes	complemented
335	C₂×C₄×#41	C₂³	1	1024	yes	complemented
336	C₂²×C₄×Q₈	C₂³	1	1	yes	characteristic
337	C₂²×C₄×Q₈	C₂³	1	1	yes	characteristic
338	C₂²×C₄×Q₈	C₂³	1	1	yes	characteristic
339	C₂²×C₄×Q₈	C₂³	1	1	yes	characteristic
340	C₂²×C₄×Q₈	C₂³	1	3	yes	—
341	C₂²×C₄×Q₈	C₂³	1	3	yes	—
342	C₂²×C₄×Q₈	C₂³	1	3	yes	—
343	C₂²×C₄×Q₈	C₂³	1	3	yes	—
344	C₂²×C₄×Q₈	C₂³	1	2	yes	—
345	C₂²×C₄×Q₈	C₂³	1	2	yes	—
346	C₂²×C₄×Q₈	C₂³	1	4	yes	—
347	C₂²×C₄×Q₈	C₂³	1	6	yes	—
348	C₂²×C₄×Q₈	C₂³	1	6	yes	—
349	C₂²×C₄×Q₈	C₂³	1	6	yes	—
350	C₂²×C₄×Q₈	C₂³	1	6	yes	—
351	C₂²×C₄×Q₈	C₂³	1	48	yes	complemented
352	C₂²×C₄×Q₈	C₂³	1	48	yes	complemented
353	C₂²×C₄×D₄	C₂³	1	3	yes	—
354	C₂²×C₄×D₄	C₂³	1	12	yes	—
355	C₂²×C₄×D₄	C₂³	1	6	yes	—
356	C₂²×C₄×D₄	C₂³	1	12	yes	—
357	C₂²×C₄×D₄	C₂³	1	6	yes	—
358	C₂²×C₄×D₄	C₂³	1	3	yes	—
359	C₂²×C₄×D₄	C₂³	1	3	yes	—
360	C₂²×C₄×D₄	C₂³	1	3	yes	—
361	C₂²×C₄×D₄	C₂³	1	6	yes	—
362	C₂²×C₄×D₄	C₂³	1	3	yes	—
363	C₂²×C₄×D₄	C₂³	1	6	yes	—
364	C₂²×C₄×D₄	C₂³	1	3	yes	—
365	C₂²×C₄×D₄	C₂³	1	6	yes	—
366	C₂²×C₄×D₄	C₂³	1	6	yes	—
367	C₂²×C₄×D₄	C₂³	1	3	yes	—
368	C₂²×C₄×D₄	C₂³	1	3	yes	—
369	C₂²×C₄×D₄	C₂³	1	12	yes	—
370	C₂²×C₄×D₄	C₂³	1	12	yes	—
371	C₂²×C₄×D₄	C₂³	1	12	yes	—
372	C₂²×C₄×D₄	C₂³	1	24	yes	—
373	C₂²×C₄×D₄	C₂³	1	12	yes	—
374	C₂²×C₄×D₄	C₂³	1	12	yes	—
375	C₂²×C₄×D₄	C₂³	1	12	yes	—
376	C₂²×C₄×D₄	C₂³	1	12	yes	—
377	C₂²×C₄×D₄	C₂³	1	12	yes	—
378	C₂²×C₄×D₄	C₂³	1	6	yes	—
379	C₂²×C₄×D₄	C₂³	1	12	yes	—
380	C₂²×C₄×D₄	C₂³	1	12	yes	—
381	C₂²×C₄×D₄	C₂³	1	12	yes	—
382	C₂²×C₄×D₄	C₂³	1	12	yes	—
383	C₂²×C₄×D₄	C₂³	1	12	yes	—
384	C₂²×C₄×D₄	C₂³	1	6	yes	—
385	C₂²×C₄×D₄	C₂³	1	6	yes	—
386	C₂²×C₄×D₄	C₂³	1	6	yes	—
387	C₂²×C₄×D₄	C₂³	1	144	yes	complemented
388	C₂²×C₄×D₄	C₂³	1	144	yes	complemented
389	C₂²×C₄×D₄	C₂³	1	288	yes	complemented
390	C₂²×C₄×D₄	C₂³	1	576	yes	complemented
391	C₂²×C₄×D₄	C₂³	1	288	yes	complemented
392	C₂²×#117	C₂³	1	3	yes	—
393	C₂²×#117	C₂³	1	3	yes	—
394	C₂²×#117	C₂³	1	6	yes	—
395	C₂²×#117	C₂³	1	6	yes	—
396	C₂²×#117	C₂³	1	3	yes	—
397	C₂²×#117	C₂³	1	3	yes	—
398	C₂²×#117	C₂³	1	2	yes	—
399	C₂²×#117	C₂³	1	6	yes	—
400	C₂²×#117	C₂³	1	12	yes	—
401	C₂²×#117	C₂³	1	12	yes	—
402	C₂²×#117	C₂³	1	12	yes	—
403	C₂²×#117	C₂³	1	6	yes	—
404	C₂²×#117	C₂³	1	12	yes	—
405	C₂²×#117	C₂³	1	144	yes	complemented
406	C₂³×C₄⋊C₄	C₂³	1	3	yes	—
407	C₂³×C₄⋊C₄	C₂³	1	3	yes	—
408	C₂³×C₄⋊C₄	C₂³	1	6	yes	—
409	C₂³×C₄⋊C₄	C₂³	1	12	yes	—
410	C₂³×C₄⋊C₄	C₂³	1	6	yes	—
411	C₂³×C₂²⋊C₄	C₂³	1	6	yes	—
412	C₂³×C₂²⋊C₄	C₂³	1	12	yes	—
413	C₂³×C₂²⋊C₄	C₂³	1	24	yes	—
414	C₂³×C₂²⋊C₄	C₂³	1	12	yes	—
415	C₂³×C₄²	C₂³	1	1	yes	characteristic
416	C₂³×C₄²	C₂³	1	3	yes	—
417	C₂³×C₄²	C₂³	1	3	yes	—
418	C₂³×C₄²	C₂³	1	3	yes	—
419	C₂³×C₄²	C₂³	1	3	yes	—
420	C₂³×C₄²	C₂³	1	3	yes	—
421	C₂³×C₄²	C₂³	1	3	yes	—
422	C₂³×C₄²	C₂³	1	3	yes	—
423	C₂³×C₄²	C₂³	1	3	yes	—
424	C₂³×C₄²	C₂³	1	3	yes	—
425	C₂³×C₄²	C₂³	1	3	yes	—
426	C₂³×C₄²	C₂³	1	3	yes	—
427	C₂³×C₄²	C₂³	1	12	yes	—
428	C₂³×C₄²	C₂³	1	144	yes	complemented
429	C₂⁶	C₂⁴	1	3	yes	—
430	C₂⁶	C₂⁴	1	12	yes	—
431	C₂×H(5,𝔽₂)	—	2	1536	no	—
432	C₂×H(5,𝔽₂)	C₂⁴	1	512	yes	—
433	C₂²×#41	—	2	768	no	—
434	C₂²×#41	—	2	16	no	—
435	C₂²×#41	—	2	64	no	—
436	C₂²×#41	—	2	48	no	—
437	C₂²×#41	—	2	48	no	—
438	C₂²×#41	—	2	96	no	—
439	C₂²×#41	—	2	96	no	—
440	C₂²×#41	—	4	96	no	—
441	C₂²×#41	—	4	96	no	—
442	C₂²×#41	—	4	96	no	—
443	C₂²×#41	—	4	48	no	—
444	C₂²×#41	—	4	2304	no	—
445	C₂²×#41	#41	1	32	yes	complemented
446	C₂²×#41	C₂⁴	1	72	yes	—
447	C₂²×#41	C₂⁴	1	72	yes	—
448	C₂²×#41	C₂⁴	1	24	yes	—
449	C₂²×#41	C₂⁴	1	256	yes	—
450	C₂²×#41	C₂⁴	1	144	yes	—
451	C₂²×#41	C₂⁴	1	144	yes	—
452	C₂²×#41	C₂⁴	1	96	yes	—
453	C₂²×#41	C₂⁴	1	288	yes	—
454	C₂²×#41	C₂⁴	1	288	yes	—
455	C₂²×#41	C₂⁴	1	288	yes	—
456	C₂²×#41	C₂⁴	1	144	yes	—
457	C₂²×#41	C₂⁴	1	24	yes	—
458	C₂²×#41	C₂⁴	1	1536	yes	complemented
459	C₂³×Q₈	—	2	16	no	—
460	C₂³×Q₈	—	4	48	no	—
461	C₂³×Q₈	C₂⁴	1	6	yes	—
462	C₂³×Q₈	C₂⁴	1	3	yes	—
463	C₂³×Q₈	C₂⁴	1	24	yes	—
464	C₂³×Q₈	C₂⁴	1	2	yes	—
465	C₂³×Q₈	C₂⁴	1	2	yes	—
466	C₂³×Q₈	C₂⁴	1	12	yes	—
467	C₂³×Q₈	C₂⁴	1	144	yes	—
468	C₂³×Q₈	C₂⁴	1	1	yes	characteristic
469	C₂³×D₄	—	2	48	no	—
470	C₂³×D₄	—	2	192	no	—
471	C₂³×D₄	—	2	96	no	—
472	C₂³×D₄	—	4	48	no	—
473	C₂³×D₄	—	4	48	no	—
474	C₂³×D₄	—	4	96	no	—
475	C₂³×D₄	C₂⁴	1	12	yes	—
476	C₂³×D₄	C₂⁴	1	6	yes	—
477	C₂³×D₄	C₂⁴	1	12	yes	—
478	C₂³×D₄	C₂⁴	1	6	yes	—
479	C₂³×D₄	C₂⁴	1	12	yes	—
480	C₂³×D₄	C₂⁴	1	6	yes	—
481	C₂³×D₄	C₂⁴	1	6	yes	—
482	C₂³×D₄	C₂⁴	1	3	yes	—
483	C₂³×D₄	C₂⁴	1	72	yes	—
484	C₂³×D₄	C₂⁴	1	144	yes	—
485	C₂³×D₄	C₂⁴	1	288	yes	—
486	C₂³×D₄	C₂⁴	1	12	yes	—
487	C₂³×D₄	C₂⁴	1	24	yes	—
488	C₂³×D₄	C₂⁴	1	288	yes	—
489	C₂³×D₄	C₂⁴	1	144	yes	—
490	C₂³×D₄	C₂⁴	1	12	yes	—
491	C₂³×D₄	C₂⁴	1	144	yes	—
492	C₂³×D₄	C₂⁴	1	12	yes	—
493	C₂³×D₄	C₂⁴	1	3	yes	—
494	C₂⁴×C₄	—	2	48	no	—
495	C₂⁴×C₄	—	2	48	no	—
496	C₂⁴×C₄	—	4	24	no	—
497	C₂⁴×C₄	—	4	96	no	—
498	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
499	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
500	C₂⁴×C₄	C₂⁴	1	3	yes	—
501	C₂⁴×C₄	C₂⁴	1	3	yes	—
502	C₂⁴×C₄	C₂⁴	1	3	yes	—
503	C₂⁴×C₄	C₂⁴	1	3	yes	—
504	C₂⁴×C₄	C₂⁴	1	3	yes	—
505	C₂⁴×C₄	C₂⁴	1	3	yes	—
506	C₂⁴×C₄	C₂⁴	1	3	yes	—
507	C₂⁴×C₄	C₂⁴	1	3	yes	—
508	C₂⁴×C₄	C₂⁴	1	3	yes	—
509	C₂⁴×C₄	C₂⁴	1	72	yes	—
510	C₂⁴×C₄	C₂⁴	1	72	yes	—
511	C₂⁴×C₄	C₂⁴	1	12	yes	—
512	C₂⁴×C₄	C₂⁴	1	3	yes	—
513	C₂⁴×C₄	C₂⁴	1	12	yes	—
514	C₂⁴×C₄	C₂⁴	1	3	yes	—
515	C₂⁴×C₄	C₂⁴	1	12	yes	—
516	C₂⁴×C₄	C₂⁴	1	24	yes	—
517	C₂⁴×C₄	C₂⁴	1	288	yes	—
518	C₂⁴×C₄	C₂⁴	1	3	yes	—
519	C₂⁴×C₄	C₂⁴	1	3	yes	—
520	C₂⁴×C₄	C₂⁴	1	3	yes	—
521	C₂⁴×C₄	C₂⁴	1	72	yes	—
522	C₂⁴×C₄	C₂⁴	1	12	yes	—
523	C₂⁴×C₄	C₂⁴	1	3	yes	—
524	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
525	#559	C₂⁴	1	1536	yes	complemented
526	#559	C₂⁴	1	1536	yes	complemented
527	Q₈²	C₂⁴	1	512	yes	complemented
528	#557	C₂⁴	1	512	yes	complemented
529	#556	C₂⁴	1	1536	yes	complemented
530	#555	C₂⁴	1	3072	yes	complemented
531	#555	C₂⁴	1	1536	yes	complemented
532	#554	C₂⁴	1	1536	yes	complemented
533	#554	C₂⁴	1	1536	yes	complemented
534	#553	C₂⁴	1	3072	yes	complemented
535	#553	C₂⁴	1	3072	yes	complemented
536	#553	C₂⁴	1	3072	yes	complemented
537	#551	C₂⁴	1	6144	yes	complemented
538	#550	C₂⁴	1	1536	yes	complemented
539	#550	C₂⁴	1	512	yes	complemented
540	#550	C₂⁴	1	1024	yes	complemented
541	#550	C₂⁴	1	512	yes	complemented
542	#550	C₂⁴	1	1536	yes	complemented
543	D₄×Q₈	C₂⁴	1	1536	yes	complemented
544	#548	C₂⁴	1	3072	yes	complemented
545	#548	C₂⁴	1	1024	yes	complemented
546	#547	C₂⁴	1	3072	yes	complemented
547	#547	C₂⁴	1	1536	yes	complemented
548	#546	C₂⁴	1	6144	yes	complemented
549	#546	C₂⁴	1	3072	yes	complemented
550	#546	C₂⁴	1	3072	yes	complemented
551	#546	C₂⁴	1	3072	yes	complemented
552	D₄²	C₂⁴	1	3072	yes	complemented
553	D₄²	C₂⁴	1	1536	yes	complemented
554	D₄²	C₂⁴	1	1536	yes	complemented
555	#544	C₂⁴	1	1536	yes	complemented
556	#542	C₂⁴	1	3072	yes	complemented
557	#542	C₂⁴	1	3072	yes	complemented
558	#540	C₂⁴	1	3072	yes	complemented
559	#540	C₂⁴	1	3072	yes	complemented
560	#538	C₂⁴	1	6144	yes	complemented
561	#537	C₂⁴	1	1536	yes	complemented
562	#535	C₂⁴	1	1536	yes	complemented
563	#535	C₂⁴	1	1536	yes	complemented
564	#533	C₂⁴	1	256	yes	complemented
565	#533	C₂⁴	1	768	yes	complemented
566	#533	C₂⁴	1	768	yes	complemented
567	#532	C₂⁴	1	768	yes	complemented
568	#532	C₂⁴	1	1536	yes	complemented
569	#532	C₂⁴	1	1536	yes	complemented
570	#532	C₂⁴	1	1536	yes	complemented
571	#532	C₂⁴	1	1536	yes	complemented
572	#532	C₂⁴	1	1536	yes	complemented
573	#532	C₂⁴	1	1536	yes	complemented
574	#532	C₂⁴	1	1536	yes	complemented
575	#532	C₂⁴	1	768	yes	complemented
576	#532	C₂⁴	1	768	yes	complemented
577	#532	C₂⁴	1	3072	yes	complemented
578	C₂×C₄⋊Q₈	C₂⁴	1	72	yes	—
579	C₂×C₄⋊Q₈	C₂⁴	1	144	yes	—
580	C₂×C₄⋊Q₈	C₂⁴	1	144	yes	—
581	C₂×C₄⋊Q₈	C₂⁴	1	144	yes	—
582	C₂×C₄⋊Q₈	C₂⁴	1	24	yes	—
583	C₂×C₄⋊Q₈	C₂⁴	1	24	yes	—
584	C₂×C₄⋊Q₈	C₂⁴	1	288	yes	—
585	C₂×C₄⋊Q₈	C₂⁴	1	768	yes	complemented
586	C₂×#127	C₂⁴	1	72	yes	—
587	C₂×#127	C₂⁴	1	144	yes	—
588	C₂×#127	C₂⁴	1	144	yes	—
589	C₂×#127	C₂⁴	1	144	yes	—
590	C₂×#127	C₂⁴	1	288	yes	—
591	C₂×#127	C₂⁴	1	768	yes	complemented
592	#529	C₂⁴	1	1536	yes	complemented
593	#529	C₂⁴	1	1536	yes	complemented
594	#529	C₂⁴	1	1536	yes	complemented
595	#529	C₂⁴	1	1536	yes	complemented
596	#529	C₂⁴	1	1536	yes	complemented
597	#529	C₂⁴	1	1536	yes	complemented
598	#529	C₂⁴	1	3072	yes	complemented
599	C₂×#126	C₂⁴	1	288	yes	—
600	C₂×#126	C₂⁴	1	288	yes	—
601	C₂×#126	C₂⁴	1	576	yes	—
602	C₂×#125	C₂⁴	1	48	yes	—
603	C₂×#125	C₂⁴	1	144	yes	—
604	C₂×#125	C₂⁴	1	144	yes	—
605	C₂×#125	C₂⁴	1	288	yes	—
606	C₂×#124	C₂⁴	1	144	yes	—
607	C₂×#124	C₂⁴	1	288	yes	—
608	C₂×#124	C₂⁴	1	288	yes	—
609	C₂×#124	C₂⁴	1	288	yes	—
610	C₂×#124	C₂⁴	1	144	yes	—
611	C₂×#124	C₂⁴	1	144	yes	—
612	C₂×#124	C₂⁴	1	288	yes	—
613	C₂×#124	C₂⁴	1	576	yes	—
614	C₂×#124	C₂⁴	1	1536	yes	complemented
615	#525	C₂⁴	1	1536	yes	complemented
616	#525	C₂⁴	1	1536	yes	complemented
617	#525	C₂⁴	1	1536	yes	complemented
618	#525	C₂⁴	1	6144	yes	complemented
619	C₂×#123	C₂⁴	1	288	yes	—
620	C₂×#123	C₂⁴	1	288	yes	—
621	C₂×#123	C₂⁴	1	288	yes	—
622	C₂×#123	C₂⁴	1	576	yes	—
623	C₂×#123	C₂⁴	1	576	yes	—
624	C₂×#123	C₂⁴	1	576	yes	—
625	C₂×C₂²⋊Q₈	C₂⁴	1	48	yes	—
626	C₂×C₂²⋊Q₈	C₂⁴	1	48	yes	—
627	C₂×C₂²⋊Q₈	C₂⁴	1	144	yes	—
628	C₂×C₂²⋊Q₈	C₂⁴	1	144	yes	—
629	C₂×C₂²⋊Q₈	C₂⁴	1	144	yes	—
630	C₂×C₂²⋊Q₈	C₂⁴	1	144	yes	—
631	C₂×C₂²⋊Q₈	C₂⁴	1	576	yes	—
632	C₂×C₂²⋊Q₈	C₂⁴	1	576	yes	—
633	C₂×C₂²⋊Q₈	C₂⁴	1	288	yes	—
634	C₂×#121	C₂⁴	1	144	yes	—
635	C₂×#121	C₂⁴	1	144	yes	—
636	C₂×#121	C₂⁴	1	288	yes	—
637	C₂×#121	C₂⁴	1	288	yes	—
638	C₂×#121	C₂⁴	1	288	yes	—
639	C₂×#121	C₂⁴	1	288	yes	—
640	C₂×#121	C₂⁴	1	288	yes	—
641	C₂×#121	C₂⁴	1	288	yes	—
642	C₂×#121	C₂⁴	1	144	yes	—
643	C₂×#121	C₂⁴	1	144	yes	—
644	C₂×#121	C₂⁴	1	144	yes	—
645	C₂×#121	C₂⁴	1	144	yes	—
646	C₂×#121	C₂⁴	1	576	yes	—
647	C₂×#121	C₂⁴	1	576	yes	—
648	C₂×#121	C₂⁴	1	288	yes	—
649	C₂×#121	C₂⁴	1	288	yes	—
650	C₂×#121	C₂⁴	1	288	yes	—
651	C₂×#121	C₂⁴	1	576	yes	—
652	C₂×#121	C₂⁴	1	1536	yes	complemented
653	C₂×#121	C₂⁴	1	1536	yes	complemented
654	C₂×#120	C₂⁴	1	288	yes	—
655	C₂×#120	C₂⁴	1	576	yes	—
656	C₂×#120	C₂⁴	1	576	yes	—
657	#520	C₂⁴	1	512	yes	—
658	#520	C₂⁴	1	1536	yes	complemented
659	#520	C₂⁴	1	1024	yes	complemented
660	#518	C₂⁴	1	1536	yes	complemented
661	#518	C₂⁴	1	3072	yes	complemented
662	C₄×#41	C₂⁴	1	256	yes	—
663	C₄×#41	C₂⁴	1	256	yes	—
664	C₄×#41	C₂⁴	1	768	yes	complemented
665	C₄×#41	C₂⁴	1	768	yes	complemented
666	C₄×#41	C₂⁴	1	256	yes	complemented
667	C₄×#41	C₂⁴	1	768	yes	complemented
668	C₄×#41	C₂⁴	1	768	yes	complemented
669	C₄×#41	C₂⁴	1	256	yes	complemented
670	C₄×#41	C₂⁴	1	1536	yes	complemented
671	C₄×#41	C₂⁴	1	1024	yes	complemented
672	C₄×#41	C₂⁴	1	1536	yes	complemented
673	C₄×#41	C₂⁴	1	1536	yes	complemented
674	C₂×C₄×Q₈	C₂⁴	1	24	yes	—
675	C₂×C₄×Q₈	C₂⁴	1	24	yes	—
676	C₂×C₄×Q₈	C₂⁴	1	24	yes	—
677	C₂×C₄×Q₈	C₂⁴	1	24	yes	—
678	C₂×C₄×Q₈	C₂⁴	1	72	yes	—
679	C₂×C₄×Q₈	C₂⁴	1	72	yes	—
680	C₂×C₄×Q₈	C₂⁴	1	72	yes	—
681	C₂×C₄×Q₈	C₂⁴	1	72	yes	—
682	C₂×C₄×Q₈	C₂⁴	1	48	yes	—
683	C₂×C₄×Q₈	C₂⁴	1	48	yes	—
684	C₂×C₄×Q₈	C₂⁴	1	96	yes	—
685	C₂×C₄×Q₈	C₂⁴	1	144	yes	—
686	C₂×C₄×Q₈	C₂⁴	1	144	yes	—
687	C₂×C₄×Q₈	C₂⁴	1	144	yes	—
688	C₂×C₄×Q₈	C₂⁴	1	144	yes	—
689	C₂×C₄×Q₈	C₂⁴	1	256	yes	complemented
690	C₂×C₄×Q₈	C₂⁴	1	256	yes	complemented
691	C₂×C₄×D₄	C₂⁴	1	72	yes	—
692	C₂×C₄×D₄	C₂⁴	1	288	yes	—
693	C₂×C₄×D₄	C₂⁴	1	144	yes	—
694	C₂×C₄×D₄	C₂⁴	1	288	yes	—
695	C₂×C₄×D₄	C₂⁴	1	144	yes	—
696	C₂×C₄×D₄	C₂⁴	1	72	yes	—
697	C₂×C₄×D₄	C₂⁴	1	72	yes	—
698	C₂×C₄×D₄	C₂⁴	1	72	yes	—
699	C₂×C₄×D₄	C₂⁴	1	144	yes	—
700	C₂×C₄×D₄	C₂⁴	1	72	yes	—
701	C₂×C₄×D₄	C₂⁴	1	144	yes	—
702	C₂×C₄×D₄	C₂⁴	1	72	yes	—
703	C₂×C₄×D₄	C₂⁴	1	144	yes	—
704	C₂×C₄×D₄	C₂⁴	1	144	yes	—
705	C₂×C₄×D₄	C₂⁴	1	72	yes	—
706	C₂×C₄×D₄	C₂⁴	1	72	yes	—
707	C₂×C₄×D₄	C₂⁴	1	288	yes	—
708	C₂×C₄×D₄	C₂⁴	1	288	yes	—
709	C₂×C₄×D₄	C₂⁴	1	288	yes	—
710	C₂×C₄×D₄	C₂⁴	1	576	yes	—
711	C₂×C₄×D₄	C₂⁴	1	288	yes	—
712	C₂×C₄×D₄	C₂⁴	1	288	yes	—
713	C₂×C₄×D₄	C₂⁴	1	288	yes	—
714	C₂×C₄×D₄	C₂⁴	1	288	yes	—
715	C₂×C₄×D₄	C₂⁴	1	288	yes	—
716	C₂×C₄×D₄	C₂⁴	1	144	yes	—
717	C₂×C₄×D₄	C₂⁴	1	288	yes	—
718	C₂×C₄×D₄	C₂⁴	1	288	yes	—
719	C₂×C₄×D₄	C₂⁴	1	288	yes	—
720	C₂×C₄×D₄	C₂⁴	1	288	yes	—
721	C₂×C₄×D₄	C₂⁴	1	288	yes	—
722	C₂×C₄×D₄	C₂⁴	1	144	yes	—
723	C₂×C₄×D₄	C₂⁴	1	144	yes	—
724	C₂×C₄×D₄	C₂⁴	1	144	yes	—
725	C₂×C₄×D₄	C₂⁴	1	768	yes	complemented
726	C₂×C₄×D₄	C₂⁴	1	768	yes	complemented
727	C₂×C₄×D₄	C₂⁴	1	1536	yes	complemented
728	C₂×C₄×D₄	C₂⁴	1	3072	yes	complemented
729	C₂×C₄×D₄	C₂⁴	1	1536	yes	complemented
730	C₂×#117	C₂⁴	1	72	yes	—
731	C₂×#117	C₂⁴	1	72	yes	—
732	C₂×#117	C₂⁴	1	144	yes	—
733	C₂×#117	C₂⁴	1	144	yes	—
734	C₂×#117	C₂⁴	1	72	yes	—
735	C₂×#117	C₂⁴	1	72	yes	—
736	C₂×#117	C₂⁴	1	48	yes	—
737	C₂×#117	C₂⁴	1	144	yes	—
738	C₂×#117	C₂⁴	1	288	yes	—
739	C₂×#117	C₂⁴	1	288	yes	—
740	C₂×#117	C₂⁴	1	288	yes	—
741	C₂×#117	C₂⁴	1	144	yes	—
742	C₂×#117	C₂⁴	1	288	yes	—
743	C₂×#117	C₂⁴	1	768	yes	complemented
744	C₂²×C₄⋊C₄	C₂⁴	1	3	yes	—
745	C₂²×C₄⋊C₄	C₂⁴	1	6	yes	—
746	C₂²×C₄⋊C₄	C₂⁴	1	12	yes	—
747	C₂²×C₄⋊C₄	C₂⁴	1	6	yes	—
748	C₂²×C₄⋊C₄	C₂⁴	1	12	yes	—
749	C₂²×C₄⋊C₄	C₂⁴	1	3	yes	—
750	C₂²×C₄⋊C₄	C₂⁴	1	3	yes	—
751	C₂²×C₄⋊C₄	C₂⁴	1	3	yes	—
752	C₂²×C₄⋊C₄	C₂⁴	1	6	yes	—
753	C₂²×C₄⋊C₄	C₂⁴	1	6	yes	—
754	C₂²×C₄⋊C₄	C₂⁴	1	72	yes	—
755	C₂²×C₄⋊C₄	C₂⁴	1	72	yes	—
756	C₂²×C₄⋊C₄	C₂⁴	1	12	yes	—
757	C₂²×C₄⋊C₄	C₂⁴	1	144	yes	—
758	C₂²×C₄⋊C₄	C₂⁴	1	288	yes	—
759	C₂²×C₄⋊C₄	C₂⁴	1	144	yes	—
760	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
761	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
762	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
763	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
764	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
765	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
766	C₂²×C₄⋊C₄	C₂⁴	1	12	yes	—
767	C₂²×C₄⋊C₄	C₂⁴	1	12	yes	—
768	C₂²×C₄⋊C₄	C₂⁴	1	12	yes	—
769	C₂²×C₂²⋊C₄	C₂⁴	1	6	yes	—
770	C₂²×C₂²⋊C₄	C₂⁴	1	12	yes	—
771	C₂²×C₂²⋊C₄	C₂⁴	1	12	yes	—
772	C₂²×C₂²⋊C₄	C₂⁴	1	12	yes	—
773	C₂²×C₂²⋊C₄	C₂⁴	1	24	yes	—
774	C₂²×C₂²⋊C₄	C₂⁴	1	12	yes	—
775	C₂²×C₂²⋊C₄	C₂⁴	1	6	yes	—
776	C₂²×C₂²⋊C₄	C₂⁴	1	6	yes	—
777	C₂²×C₂²⋊C₄	C₂⁴	1	6	yes	—
778	C₂²×C₂²⋊C₄	C₂⁴	1	144	yes	—
779	C₂²×C₂²⋊C₄	C₂⁴	1	24	yes	—
780	C₂²×C₂²⋊C₄	C₂⁴	1	288	yes	—
781	C₂²×C₂²⋊C₄	C₂⁴	1	576	yes	—
782	C₂²×C₂²⋊C₄	C₂⁴	1	288	yes	—
783	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
784	C₂²×C₂²⋊C₄	C₂⁴	1	12	yes	—
785	C₂²×C₂²⋊C₄	C₂⁴	1	12	yes	—
786	C₂²×C₂²⋊C₄	C₂⁴	1	12	yes	—
787	C₂²×C₂²⋊C₄	C₂⁴	1	12	yes	—
788	C₂²×C₄²	C₂⁴	1	1	yes	characteristic
789	C₂²×C₄²	C₂⁴	1	1	yes	characteristic
790	C₂²×C₄²	C₂⁴	1	3	yes	—
791	C₂²×C₄²	C₂⁴	1	3	yes	—
792	C₂²×C₄²	C₂⁴	1	3	yes	—
793	C₂²×C₄²	C₂⁴	1	3	yes	—
794	C₂²×C₄²	C₂⁴	1	3	yes	—
795	C₂²×C₄²	C₂⁴	1	3	yes	—
796	C₂²×C₄²	C₂⁴	1	3	yes	—
797	C₂²×C₄²	C₂⁴	1	3	yes	—
798	C₂²×C₄²	C₂⁴	1	3	yes	—
799	C₂²×C₄²	C₂⁴	1	3	yes	—
800	C₂²×C₄²	C₂⁴	1	24	yes	—
801	C₂²×C₄²	C₂⁴	1	72	yes	—
802	C₂²×C₄²	C₂⁴	1	72	yes	—
803	C₂²×C₄²	C₂⁴	1	72	yes	—
804	C₂²×C₄²	C₂⁴	1	72	yes	—
805	C₂²×C₄²	C₂⁴	1	72	yes	—
806	C₂²×C₄²	C₂⁴	1	72	yes	—
807	C₂²×C₄²	C₂⁴	1	72	yes	—
808	C₂²×C₄²	C₂⁴	1	72	yes	—
809	C₂²×C₄²	C₂⁴	1	72	yes	—
810	C₂²×C₄²	C₂⁴	1	72	yes	—
811	C₂²×C₄²	C₂⁴	1	72	yes	—
812	C₂²×C₄²	C₂⁴	1	12	yes	—
813	C₂²×C₄²	C₂⁴	1	12	yes	—
814	C₂²×C₄²	C₂⁴	1	288	yes	—
815	C₂²×C₄²	C₂⁴	1	1	yes	characteristic
816	C₂²×C₄²	C₂⁴	1	3	yes	—
817	C₂²×C₄²	C₂⁴	1	1	yes	characteristic
818	C₂²×C₄²	C₂⁴	1	3	yes	—
819	C₂²×C₄²	C₂⁴	1	4	yes	—
820	C₂²×C₄²	C₂⁴	1	768	yes	complemented
821	C₂⁵	—	2	24	no	—
822	C₂⁵	—	2	24	no	—
823	C₂⁵	—	2	96	no	—
824	C₂⁵	—	4	12	no	—
825	C₂⁵	—	4	48	no	—
826	C₂⁵	—	4	48	no	—
827	C₂⁵	C₂⁵	1	12	yes	—
828	C₂⁵	C₂⁵	1	3	yes	—
829	C₂⁵	C₂⁵	1	36	yes	—
830	C₂⁵	C₂⁵	1	3	yes	—
831	C₂⁵	C₂⁵	1	1	yes	characteristic
832	C₂⁵	C₂⁵	1	144	yes	—
833	H(5,𝔽₂)	—	2	4096	no	—
834	C₂×#41	—	2	2048	no	—
835	C₂×#41	—	2	192	no	—
836	C₂×#41	—	2	768	no	—
837	C₂×#41	—	2	576	no	—
838	C₂×#41	—	2	576	no	—
839	C₂×#41	—	2	1152	no	—
840	C₂×#41	—	2	1152	no	—
841	C₂×#41	—	4	1152	no	—
842	C₂×#41	—	4	1152	no	—
843	C₂×#41	—	4	1152	no	—
844	C₂×#41	—	4	576	no	—
845	C₂×#41	—	4	6144	no	—
846	C₂×#41	C₂×#41	1	384	yes	complemented
847	C₂×#41	C₂⁵	1	192	yes	—
848	C₂×#41	C₂⁵	1	192	yes	—
849	C₂×#41	C₂⁵	1	64	yes	—
850	C₂×#41	C₂⁵	1	384	yes	—
851	C₂×#41	C₂⁵	1	256	yes	—
852	C₂×#41	C₂⁵	1	384	yes	—
853	C₂×#41	C₂⁵	1	384	yes	—
854	C₂×#41	C₂⁵	1	768	yes	—
855	C₂×#41	C₂⁵	1	768	yes	—
856	C₂×#41	C₂⁵	1	768	yes	—
857	C₂×#41	C₂⁵	1	64	yes	—
858	C₂²×Q₈	—	2	192	no	—
859	C₂²×Q₈	—	2	24	no	—
860	C₂²×Q₈	—	2	16	no	—
861	C₂²×Q₈	—	2	48	no	—
862	C₂²×Q₈	—	2	16	no	—
863	C₂²×Q₈	—	4	48	no	—
864	C₂²×Q₈	—	4	576	no	—
865	C₂²×Q₈	C₂×#41	1	16	yes	complemented
866	C₂²×Q₈	C₂⁵	1	36	yes	—
867	C₂²×Q₈	C₂⁵	1	24	yes	—
868	C₂²×Q₈	C₂⁵	1	24	yes	—
869	C₂²×Q₈	C₂⁵	1	72	yes	—
870	C₂²×Q₈	C₂⁵	1	64	yes	—
871	C₂²×Q₈	C₂⁵	1	144	yes	—
872	C₂²×Q₈	C₂⁵	1	384	yes	—
873	C₂²×Q₈	C₂⁵	1	12	yes	—
874	C₂²×D₄	—	2	96	no	—
875	C₂²×D₄	—	2	48	no	—
876	C₂²×D₄	—	2	96	no	—
877	C₂²×D₄	—	2	576	no	—
878	C₂²×D₄	—	2	2304	no	—
879	C₂²×D₄	—	2	96	no	—
880	C₂²×D₄	—	2	48	no	—
881	C₂²×D₄	—	2	24	no	—
882	C₂²×D₄	—	2	1152	no	—
883	C₂²×D₄	—	2	48	no	—
884	C₂²×D₄	—	2	48	no	—
885	C₂²×D₄	—	4	576	no	—
886	C₂²×D₄	—	4	576	no	—
887	C₂²×D₄	—	4	48	no	—
888	C₂²×D₄	—	4	48	no	—
889	C₂²×D₄	—	4	96	no	—
890	C₂²×D₄	—	4	48	no	—
891	C₂²×D₄	—	4	1152	no	—
892	C₂²×D₄	C₂×#41	1	48	yes	complemented
893	C₂²×D₄	C₂⁵	1	72	yes	—
894	C₂²×D₄	C₂⁵	1	144	yes	—
895	C₂²×D₄	C₂⁵	1	72	yes	—
896	C₂²×D₄	C₂⁵	1	144	yes	—
897	C₂²×D₄	C₂⁵	1	72	yes	—
898	C₂²×D₄	C₂⁵	1	36	yes	—
899	C₂²×D₄	C₂⁵	1	144	yes	—
900	C₂²×D₄	C₂⁵	1	72	yes	—
901	C₂²×D₄	C₂⁵	1	192	yes	—
902	C₂²×D₄	C₂⁵	1	384	yes	—
903	C₂²×D₄	C₂⁵	1	768	yes	—
904	C₂²×D₄	C₂⁵	1	144	yes	—
905	C₂²×D₄	C₂⁵	1	144	yes	—
906	C₂²×D₄	C₂⁵	1	384	yes	—
907	C₂²×D₄	C₂⁵	1	144	yes	—
908	C₂²×D₄	C₂⁵	1	288	yes	—
909	C₂²×D₄	C₂⁵	1	768	yes	—
910	C₂²×D₄	C₂⁵	1	384	yes	—
911	C₂²×D₄	C₂⁵	1	36	yes	—
912	C₂³×C₄	—	2	24	no	—
913	C₂³×C₄	—	2	24	no	—
914	C₂³×C₄	—	2	8	no	—
915	C₂³×C₄	—	2	24	no	—
916	C₂³×C₄	—	2	24	no	—
917	C₂³×C₄	—	2	24	no	—
918	C₂³×C₄	—	2	96	no	—
919	C₂³×C₄	—	2	576	no	—
920	C₂³×C₄	—	2	24	no	—
921	C₂³×C₄	—	2	24	no	—
922	C₂³×C₄	—	2	24	no	—
923	C₂³×C₄	—	2	24	no	—
924	C₂³×C₄	—	2	96	no	—
925	C₂³×C₄	—	2	576	no	—
926	C₂³×C₄	—	2	8	no	—
927	C₂³×C₄	—	2	24	no	—
928	C₂³×C₄	—	2	24	no	—
929	C₂³×C₄	—	4	288	no	—
930	C₂³×C₄	—	4	1152	no	—
931	C₂³×C₄	—	4	12	no	—
932	C₂³×C₄	—	4	12	no	—
933	C₂³×C₄	—	4	12	no	—
934	C₂³×C₄	—	4	48	no	—
935	C₂³×C₄	—	4	96	no	—
936	C₂³×C₄	—	4	48	no	—
937	C₂³×C₄	C₂×#41	1	48	yes	complemented
938	C₂³×C₄	H(5,𝔽₂)	1	16	yes	complemented
939	C₂³×C₄	C₂⁵	1	3	yes	—
940	C₂³×C₄	C₂⁵	1	1	yes	characteristic
941	C₂³×C₄	C₂⁵	1	3	yes	—
942	C₂³×C₄	C₂⁵	1	1	yes	characteristic
943	C₂³×C₄	C₂⁵	1	4	yes	—
944	C₂³×C₄	C₂⁵	1	4	yes	—
945	C₂³×C₄	C₂⁵	1	3	yes	—
946	C₂³×C₄	C₂⁵	1	12	yes	—
947	C₂³×C₄	C₂⁵	1	3	yes	—
948	C₂³×C₄	C₂⁵	1	3	yes	—
949	C₂³×C₄	C₂⁵	1	36	yes	—
950	C₂³×C₄	C₂⁵	1	36	yes	—
951	C₂³×C₄	C₂⁵	1	36	yes	—
952	C₂³×C₄	C₂⁵	1	36	yes	—
953	C₂³×C₄	C₂⁵	1	144	yes	—
954	C₂³×C₄	C₂⁵	1	36	yes	—
955	C₂³×C₄	C₂⁵	1	36	yes	—
956	C₂³×C₄	C₂⁵	1	36	yes	—
957	C₂³×C₄	C₂⁵	1	144	yes	—
958	C₂³×C₄	C₂⁵	1	192	yes	—
959	C₂³×C₄	C₂⁵	1	36	yes	—
960	C₂³×C₄	C₂⁵	1	36	yes	—
961	C₂³×C₄	C₂⁵	1	36	yes	—
962	C₂³×C₄	C₂⁵	1	36	yes	—
963	C₂³×C₄	C₂⁵	1	192	yes	—
964	C₂³×C₄	C₂⁵	1	12	yes	—
965	C₂³×C₄	C₂⁵	1	12	yes	—
966	C₂³×C₄	C₂⁵	1	36	yes	—
967	C₂³×C₄	C₂⁵	1	36	yes	—
968	C₂³×C₄	C₂⁵	1	144	yes	—
969	C₂³×C₄	C₂⁵	1	144	yes	—
970	C₂³×C₄	C₂⁵	1	288	yes	—
971	C₂³×C₄	C₂⁵	1	36	yes	—
972	C₂³×C₄	C₂⁵	1	768	yes	—
973	C₂³×C₄	C₂⁵	1	192	yes	—
974	C₂³×C₄	C₂⁵	1	3	yes	—
975	C₂³×C₄	C₂⁵	1	1	yes	characteristic
976	C₂³×C₄	C₂⁵	1	36	yes	—
977	C₂³×C₄	C₂⁵	1	1	yes	characteristic
978	C₂³×C₄	C₂⁵	1	12	yes	—
979	C₂³×C₄	C₂⁵	1	1	yes	characteristic
980	C₂³×C₄	C₂⁵	1	1	yes	characteristic
981	C₄⋊Q₈	C₂⁵	1	192	yes	—
982	C₄⋊Q₈	C₂⁵	1	384	yes	—
983	C₄⋊Q₈	C₂⁵	1	384	yes	—
984	C₄⋊Q₈	C₂⁵	1	384	yes	—
985	C₄⋊Q₈	C₂⁵	1	64	yes	—
986	C₄⋊Q₈	C₂⁵	1	64	yes	—
987	C₄⋊Q₈	C₂⁵	1	768	yes	—
988	#127	C₂⁵	1	192	yes	—
989	#127	C₂⁵	1	384	yes	—
990	#127	C₂⁵	1	384	yes	—
991	#127	C₂⁵	1	384	yes	—
992	#127	C₂⁵	1	768	yes	—
993	#126	C₂⁵	1	768	yes	—
994	#126	C₂⁵	1	768	yes	—
995	#126	C₂⁵	1	1536	yes	—
996	#125	C₂⁵	1	128	yes	—
997	#125	C₂⁵	1	384	yes	—
998	#125	C₂⁵	1	384	yes	—
999	#125	C₂⁵	1	768	yes	—
1000	#124	C₂⁵	1	384	yes	—
1001	#124	C₂⁵	1	768	yes	—
1002	#124	C₂⁵	1	768	yes	—
1003	#124	C₂⁵	1	768	yes	—
1004	#124	C₂⁵	1	384	yes	—
1005	#124	C₂⁵	1	384	yes	—
1006	#124	C₂⁵	1	768	yes	—
1007	#124	C₂⁵	1	1536	yes	—
1008	#123	C₂⁵	1	768	yes	—
1009	#123	C₂⁵	1	768	yes	—
1010	#123	C₂⁵	1	768	yes	—
1011	#123	C₂⁵	1	1536	yes	—
1012	#123	C₂⁵	1	1536	yes	—
1013	#123	C₂⁵	1	1536	yes	—
1014	C₂²⋊Q₈	C₂⁵	1	128	yes	—
1015	C₂²⋊Q₈	C₂⁵	1	128	yes	—
1016	C₂²⋊Q₈	C₂⁵	1	384	yes	—
1017	C₂²⋊Q₈	C₂⁵	1	384	yes	—
1018	C₂²⋊Q₈	C₂⁵	1	384	yes	—
1019	C₂²⋊Q₈	C₂⁵	1	384	yes	—
1020	C₂²⋊Q₈	C₂⁵	1	1536	yes	—
1021	C₂²⋊Q₈	C₂⁵	1	1536	yes	—
1022	C₂²⋊Q₈	C₂⁵	1	768	yes	—
1023	#121	C₂⁵	1	384	yes	—
1024	#121	C₂⁵	1	384	yes	—
1025	#121	C₂⁵	1	768	yes	—
1026	#121	C₂⁵	1	768	yes	—
1027	#121	C₂⁵	1	768	yes	—
1028	#121	C₂⁵	1	768	yes	—
1029	#121	C₂⁵	1	768	yes	—
1030	#121	C₂⁵	1	768	yes	—
1031	#121	C₂⁵	1	384	yes	—
1032	#121	C₂⁵	1	384	yes	—
1033	#121	C₂⁵	1	384	yes	—
1034	#121	C₂⁵	1	384	yes	—
1035	#121	C₂⁵	1	1536	yes	—
1036	#121	C₂⁵	1	1536	yes	—
1037	#121	C₂⁵	1	768	yes	—
1038	#121	C₂⁵	1	768	yes	—
1039	#121	C₂⁵	1	768	yes	—
1040	#121	C₂⁵	1	1536	yes	—
1041	#120	C₂⁵	1	768	yes	—
1042	#120	C₂⁵	1	1536	yes	—
1043	#120	C₂⁵	1	1536	yes	—
1044	C₄×Q₈	C₂⁵	1	64	yes	—
1045	C₄×Q₈	C₂⁵	1	64	yes	—
1046	C₄×Q₈	C₂⁵	1	64	yes	—
1047	C₄×Q₈	C₂⁵	1	64	yes	—
1048	C₄×Q₈	C₂⁵	1	192	yes	—
1049	C₄×Q₈	C₂⁵	1	192	yes	—
1050	C₄×Q₈	C₂⁵	1	192	yes	—
1051	C₄×Q₈	C₂⁵	1	192	yes	—
1052	C₄×Q₈	C₂⁵	1	128	yes	—
1053	C₄×Q₈	C₂⁵	1	128	yes	—
1054	C₄×Q₈	C₂⁵	1	256	yes	—
1055	C₄×Q₈	C₂⁵	1	384	yes	—
1056	C₄×Q₈	C₂⁵	1	384	yes	—
1057	C₄×Q₈	C₂⁵	1	384	yes	—
1058	C₄×Q₈	C₂⁵	1	384	yes	—
1059	C₄×D₄	C₂⁵	1	192	yes	—
1060	C₄×D₄	C₂⁵	1	768	yes	—
1061	C₄×D₄	C₂⁵	1	384	yes	—
1062	C₄×D₄	C₂⁵	1	768	yes	—
1063	C₄×D₄	C₂⁵	1	384	yes	—
1064	C₄×D₄	C₂⁵	1	192	yes	—
1065	C₄×D₄	C₂⁵	1	192	yes	—
1066	C₄×D₄	C₂⁵	1	192	yes	—
1067	C₄×D₄	C₂⁵	1	384	yes	—
1068	C₄×D₄	C₂⁵	1	192	yes	—
1069	C₄×D₄	C₂⁵	1	384	yes	—
1070	C₄×D₄	C₂⁵	1	192	yes	—
1071	C₄×D₄	C₂⁵	1	384	yes	—
1072	C₄×D₄	C₂⁵	1	384	yes	—
1073	C₄×D₄	C₂⁵	1	192	yes	—
1074	C₄×D₄	C₂⁵	1	192	yes	—
1075	C₄×D₄	C₂⁵	1	768	yes	—
1076	C₄×D₄	C₂⁵	1	768	yes	—
1077	C₄×D₄	C₂⁵	1	768	yes	—
1078	C₄×D₄	C₂⁵	1	1536	yes	—
1079	C₄×D₄	C₂⁵	1	768	yes	—
1080	C₄×D₄	C₂⁵	1	768	yes	—
1081	C₄×D₄	C₂⁵	1	768	yes	—
1082	C₄×D₄	C₂⁵	1	768	yes	—
1083	C₄×D₄	C₂⁵	1	768	yes	—
1084	C₄×D₄	C₂⁵	1	384	yes	—
1085	C₄×D₄	C₂⁵	1	768	yes	—
1086	C₄×D₄	C₂⁵	1	768	yes	—
1087	C₄×D₄	C₂⁵	1	768	yes	—
1088	C₄×D₄	C₂⁵	1	768	yes	—
1089	C₄×D₄	C₂⁵	1	768	yes	—
1090	C₄×D₄	C₂⁵	1	384	yes	—
1091	C₄×D₄	C₂⁵	1	384	yes	—
1092	C₄×D₄	C₂⁵	1	384	yes	—
1093	#117	C₂⁵	1	192	yes	—
1094	#117	C₂⁵	1	192	yes	—
1095	#117	C₂⁵	1	384	yes	—
1096	#117	C₂⁵	1	384	yes	—
1097	#117	C₂⁵	1	192	yes	—
1098	#117	C₂⁵	1	192	yes	—
1099	#117	C₂⁵	1	128	yes	—
1100	#117	C₂⁵	1	384	yes	—
1101	#117	C₂⁵	1	768	yes	—
1102	#117	C₂⁵	1	768	yes	—
1103	#117	C₂⁵	1	768	yes	—
1104	#117	C₂⁵	1	384	yes	—
1105	#117	C₂⁵	1	768	yes	—
1106	C₂×C₄⋊C₄	C₂⁵	1	36	yes	—
1107	C₂×C₄⋊C₄	C₂⁵	1	72	yes	—
1108	C₂×C₄⋊C₄	C₂⁵	1	144	yes	—
1109	C₂×C₄⋊C₄	C₂⁵	1	72	yes	—
1110	C₂×C₄⋊C₄	C₂⁵	1	144	yes	—
1111	C₂×C₄⋊C₄	C₂⁵	1	36	yes	—
1112	C₂×C₄⋊C₄	C₂⁵	1	36	yes	—
1113	C₂×C₄⋊C₄	C₂⁵	1	36	yes	—
1114	C₂×C₄⋊C₄	C₂⁵	1	72	yes	—
1115	C₂×C₄⋊C₄	C₂⁵	1	72	yes	—
1116	C₂×C₄⋊C₄	C₂⁵	1	192	yes	—
1117	C₂×C₄⋊C₄	C₂⁵	1	192	yes	—
1118	C₂×C₄⋊C₄	C₂⁵	1	144	yes	—
1119	C₂×C₄⋊C₄	C₂⁵	1	384	yes	—
1120	C₂×C₄⋊C₄	C₂⁵	1	768	yes	—
1121	C₂×C₄⋊C₄	C₂⁵	1	384	yes	—
1122	C₂×C₄⋊C₄	C₂⁵	1	24	yes	—
1123	C₂×C₄⋊C₄	C₂⁵	1	24	yes	—
1124	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1125	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1126	C₂×C₄⋊C₄	C₂⁵	1	24	yes	—
1127	C₂×C₄⋊C₄	C₂⁵	1	24	yes	—
1128	C₂×C₄⋊C₄	C₂⁵	1	144	yes	—
1129	C₂×C₄⋊C₄	C₂⁵	1	144	yes	—
1130	C₂×C₄⋊C₄	C₂⁵	1	144	yes	—
1131	C₂×C₂²⋊C₄	C₂⁵	1	72	yes	—
1132	C₂×C₂²⋊C₄	C₂⁵	1	144	yes	—
1133	C₂×C₂²⋊C₄	C₂⁵	1	144	yes	—
1134	C₂×C₂²⋊C₄	C₂⁵	1	144	yes	—
1135	C₂×C₂²⋊C₄	C₂⁵	1	288	yes	—
1136	C₂×C₂²⋊C₄	C₂⁵	1	144	yes	—
1137	C₂×C₂²⋊C₄	C₂⁵	1	72	yes	—
1138	C₂×C₂²⋊C₄	C₂⁵	1	72	yes	—
1139	C₂×C₂²⋊C₄	C₂⁵	1	72	yes	—
1140	C₂×C₂²⋊C₄	C₂⁵	1	384	yes	—
1141	C₂×C₂²⋊C₄	C₂⁵	1	288	yes	—
1142	C₂×C₂²⋊C₄	C₂⁵	1	768	yes	—
1143	C₂×C₂²⋊C₄	C₂⁵	1	1536	yes	—
1144	C₂×C₂²⋊C₄	C₂⁵	1	768	yes	—
1145	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1146	C₂×C₂²⋊C₄	C₂⁵	1	144	yes	—
1147	C₂×C₂²⋊C₄	C₂⁵	1	144	yes	—
1148	C₂×C₂²⋊C₄	C₂⁵	1	144	yes	—
1149	C₂×C₂²⋊C₄	C₂⁵	1	144	yes	—
1150	C₂×C₄²	C₂⁵	1	36	yes	—
1151	C₂×C₄²	C₂⁵	1	36	yes	—
1152	C₂×C₄²	C₂⁵	1	36	yes	—
1153	C₂×C₄²	C₂⁵	1	36	yes	—
1154	C₂×C₄²	C₂⁵	1	48	yes	—
1155	C₂×C₄²	C₂⁵	1	144	yes	—
1156	C₂×C₄²	C₂⁵	1	36	yes	—
1157	C₂×C₄²	C₂⁵	1	36	yes	—
1158	C₂×C₄²	C₂⁵	1	144	yes	—
1159	C₂×C₄²	C₂⁵	1	192	yes	—
1160	C₂×C₄²	C₂⁵	1	36	yes	—
1161	C₂×C₄²	C₂⁵	1	36	yes	—
1162	C₂×C₄²	C₂⁵	1	12	yes	—
1163	C₂×C₄²	C₂⁵	1	12	yes	—
1164	C₂×C₄²	C₂⁵	1	36	yes	—
1165	C₂×C₄²	C₂⁵	1	36	yes	—
1166	C₂×C₄²	C₂⁵	1	36	yes	—
1167	C₂×C₄²	C₂⁵	1	36	yes	—
1168	C₂×C₄²	C₂⁵	1	192	yes	—
1169	C₂×C₄²	C₂⁵	1	192	yes	—
1170	C₂×C₄²	C₂⁵	1	192	yes	—
1171	C₂×C₄²	C₂⁵	1	192	yes	—
1172	C₂×C₄²	C₂⁵	1	768	yes	—
1173	C₂×C₄²	C₂⁵	1	192	yes	—
1174	C₂×C₄²	C₂⁵	1	192	yes	—
1175	C₂×C₄²	C₂⁵	1	192	yes	—
1176	C₂×C₄²	C₂⁵	1	192	yes	—
1177	C₂×C₄²	C₂⁵	1	192	yes	—
1178	C₂×C₄²	C₂⁵	1	192	yes	—
1179	C₂×C₄²	C₂⁵	1	12	yes	—
1180	C₂×C₄²	C₂⁵	1	12	yes	—
1181	C₂×C₄²	C₂⁵	1	64	yes	—
1182	C₂⁴	—	2	4	no	—
1183	C₂⁴	—	2	12	no	—
1184	C₂⁴	—	2	4	no	—
1185	C₂⁴	—	2	12	no	—
1186	C₂⁴	—	2	144	no	—
1187	C₂⁴	—	2	12	no	—
1188	C₂⁴	—	2	48	no	—
1189	C₂⁴	—	2	144	no	—
1190	C₂⁴	—	2	12	no	—
1191	C₂⁴	—	2	48	no	—
1192	C₂⁴	—	2	12	no	—
1193	C₂⁴	—	2	48	no	—
1194	C₂⁴	—	2	576	no	—
1195	C₂⁴	—	4	72	no	—
1196	C₂⁴	—	4	288	no	—
1197	C₂⁴	—	4	288	no	—
1198	C₂⁴	—	4	192	no	—
1199	C₂⁴	—	8	384	no	—
1200	C₂⁴	C₂²×#41	1	24	yes	—
1201	C₂⁴	C₂×H(5,𝔽₂)	1	8	yes	—
1202	C₂⁴	C₂⁶	1	72	yes	—
1203	C₂⁴	C₂⁶	1	18	yes	—
1204	C₂⁴	C₂⁶	1	48	yes	—
1205	C₂⁴	C₂⁶	1	18	yes	—
1206	C₂⁴	C₂⁶	1	6	yes	—
1207	C₂⁴	C₂⁶	1	192	yes	—
1208	C₂⁴	C₂⁶	1	1	yes	characteristic
1209	#41	—	2	256	no	—
1210	#41	—	2	1024	no	—
1211	#41	—	2	768	no	—
1212	#41	—	2	768	no	—
1213	#41	—	2	1536	no	—
1214	#41	—	2	1536	no	—
1215	#41	—	4	1536	no	—
1216	#41	—	4	1536	no	—
1217	#41	—	4	1536	no	—
1218	#41	—	4	768	no	—
1219	#41	C₂²×#41	1	512	yes	complemented
1220	C₂×Q₈	—	2	256	no	—
1221	C₂×Q₈	—	2	144	no	—
1222	C₂×Q₈	—	2	96	no	—
1223	C₂×Q₈	—	2	288	no	—
1224	C₂×Q₈	—	2	96	no	—
1225	C₂×Q₈	—	4	288	no	—
1226	C₂×Q₈	—	4	768	no	—
1227	C₂×Q₈	C₂²×#41	1	96	yes	complemented
1228	C₂×Q₈	C₂⁶	1	48	yes	—
1229	C₂×Q₈	C₂⁶	1	32	yes	—
1230	C₂×Q₈	C₂⁶	1	32	yes	—
1231	C₂×Q₈	C₂⁶	1	96	yes	—
1232	C₂×Q₈	C₂⁶	1	192	yes	—
1233	C₂×Q₈	C₂⁶	1	16	yes	—
1234	C₂×D₄	—	2	576	no	—
1235	C₂×D₄	—	2	288	no	—
1236	C₂×D₄	—	2	576	no	—
1237	C₂×D₄	—	2	768	no	—
1238	C₂×D₄	—	2	3072	no	—
1239	C₂×D₄	—	2	576	no	—
1240	C₂×D₄	—	2	288	no	—
1241	C₂×D₄	—	2	144	no	—
1242	C₂×D₄	—	2	1536	no	—
1243	C₂×D₄	—	2	288	no	—
1244	C₂×D₄	—	2	288	no	—
1245	C₂×D₄	—	4	768	no	—
1246	C₂×D₄	—	4	768	no	—
1247	C₂×D₄	—	4	288	no	—
1248	C₂×D₄	—	4	288	no	—
1249	C₂×D₄	—	4	576	no	—
1250	C₂×D₄	—	4	288	no	—
1251	C₂×D₄	—	4	1536	no	—
1252	C₂×D₄	C₂²×#41	1	288	yes	complemented
1253	C₂×D₄	C₂⁶	1	96	yes	—
1254	C₂×D₄	C₂⁶	1	192	yes	—
1255	C₂×D₄	C₂⁶	1	96	yes	—
1256	C₂×D₄	C₂⁶	1	192	yes	—
1257	C₂×D₄	C₂⁶	1	96	yes	—
1258	C₂×D₄	C₂⁶	1	48	yes	—
1259	C₂×D₄	C₂⁶	1	192	yes	—
1260	C₂×D₄	C₂⁶	1	96	yes	—
1261	C₂×D₄	C₂⁶	1	192	yes	—
1262	C₂×D₄	C₂⁶	1	192	yes	—
1263	C₂×D₄	C₂⁶	1	192	yes	—
1264	C₂×D₄	C₂⁶	1	384	yes	—
1265	C₂×D₄	C₂⁶	1	48	yes	—
1266	C₂²×C₄	—	2	4	no	—
1267	C₂²×C₄	—	2	16	no	—
1268	C₂²×C₄	—	2	12	no	—
1269	C₂²×C₄	—	2	144	no	—
1270	C₂²×C₄	—	2	12	no	—
1271	C₂²×C₄	—	2	12	no	—
1272	C₂²×C₄	—	2	144	no	—
1273	C₂²×C₄	—	2	48	no	—
1274	C₂²×C₄	—	2	4	no	—
1275	C₂²×C₄	—	2	12	no	—
1276	C₂²×C₄	—	2	12	no	—
1277	C₂²×C₄	—	2	16	no	—
1278	C₂²×C₄	—	2	48	no	—
1279	C₂²×C₄	—	2	144	no	—
1280	C₂²×C₄	—	2	144	no	—
1281	C₂²×C₄	—	2	144	no	—
1282	C₂²×C₄	—	2	576	no	—
1283	C₂²×C₄	—	2	768	no	—
1284	C₂²×C₄	—	2	144	no	—
1285	C₂²×C₄	—	2	144	no	—
1286	C₂²×C₄	—	2	144	no	—
1287	C₂²×C₄	—	2	144	no	—
1288	C₂²×C₄	—	2	576	no	—
1289	C₂²×C₄	—	2	768	no	—
1290	C₂²×C₄	—	2	48	no	—
1291	C₂²×C₄	—	2	144	no	—
1292	C₂²×C₄	—	2	144	no	—
1293	C₂²×C₄	—	4	384	no	—
1294	C₂²×C₄	—	4	1536	no	—
1295	C₂²×C₄	—	4	72	no	—
1296	C₂²×C₄	—	4	72	no	—
1297	C₂²×C₄	—	4	72	no	—
1298	C₂²×C₄	—	4	288	no	—
1299	C₂²×C₄	—	4	576	no	—
1300	C₂²×C₄	—	4	288	no	—
1301	C₂²×C₄	C₂²×#41	1	24	yes	—
1302	C₂²×C₄	C₂²×#41	1	8	yes	—
1303	C₂²×C₄	C₂²×#41	1	288	yes	complemented
1304	C₂²×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
1305	C₂²×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
1306	C₂²×C₄	C₂×H(5,𝔽₂)	1	96	yes	complemented
1307	C₂²×C₄	#585	1	8	yes	—
1308	C₂²×C₄	C₂⁶	1	6	yes	—
1309	C₂²×C₄	C₂⁶	1	18	yes	—
1310	C₂²×C₄	C₂⁶	1	6	yes	—
1311	C₂²×C₄	C₂⁶	1	16	yes	—
1312	C₂²×C₄	C₂⁶	1	16	yes	—
1313	C₂²×C₄	C₂⁶	1	18	yes	—
1314	C₂²×C₄	C₂⁶	1	24	yes	—
1315	C₂²×C₄	C₂⁶	1	24	yes	—
1316	C₂²×C₄	C₂⁶	1	18	yes	—
1317	C₂²×C₄	C₂⁶	1	18	yes	—
1318	C₂²×C₄	C₂⁶	1	18	yes	—
1319	C₂²×C₄	C₂⁶	1	48	yes	—
1320	C₂²×C₄	C₂⁶	1	48	yes	—
1321	C₂²×C₄	C₂⁶	1	48	yes	—
1322	C₂²×C₄	C₂⁶	1	48	yes	—
1323	C₂²×C₄	C₂⁶	1	48	yes	—
1324	C₂²×C₄	C₂⁶	1	48	yes	—
1325	C₂²×C₄	C₂⁶	1	48	yes	—
1326	C₂²×C₄	C₂⁶	1	48	yes	—
1327	C₂²×C₄	C₂⁶	1	48	yes	—
1328	C₂²×C₄	C₂⁶	1	48	yes	—
1329	C₂²×C₄	C₂⁶	1	48	yes	—
1330	C₂²×C₄	C₂⁶	1	72	yes	—
1331	C₂²×C₄	C₂⁶	1	192	yes	—
1332	C₂²×C₄	C₂⁶	1	192	yes	—
1333	C₂²×C₄	C₂⁶	1	48	yes	—
1334	C₂²×C₄	C₂⁶	1	48	yes	—
1335	C₂²×C₄	C₂⁶	1	48	yes	—
1336	C₂²×C₄	C₂⁶	1	192	yes	—
1337	C₂²×C₄	C₂⁶	1	192	yes	—
1338	C₂²×C₄	C₂⁶	1	384	yes	—
1339	C₂²×C₄	C₂⁶	1	18	yes	—
1340	C₂²×C₄	C₂⁶	1	6	yes	—
1341	C₂²×C₄	C₂⁶	1	48	yes	—
1342	C₂²×C₄	C₂⁶	1	6	yes	—
1343	C₂²×C₄	C₂⁶	1	6	yes	—
1344	C₂²×C₄	C₂⁶	1	16	yes	—
1345	C₂²×C₄	C₂⁶	1	6	yes	—
1346	C₄⋊C₄	C₂⁶	1	48	yes	—
1347	C₄⋊C₄	C₂⁶	1	96	yes	—
1348	C₄⋊C₄	C₂⁶	1	192	yes	—
1349	C₄⋊C₄	C₂⁶	1	96	yes	—
1350	C₄⋊C₄	C₂⁶	1	192	yes	—
1351	C₄⋊C₄	C₂⁶	1	48	yes	—
1352	C₄⋊C₄	C₂⁶	1	48	yes	—
1353	C₄⋊C₄	C₂⁶	1	48	yes	—
1354	C₄⋊C₄	C₂⁶	1	96	yes	—
1355	C₄⋊C₄	C₂⁶	1	96	yes	—
1356	C₄⋊C₄	C₂⁶	1	192	yes	—
1357	C₄⋊C₄	C₂⁶	1	32	yes	—
1358	C₄⋊C₄	C₂⁶	1	32	yes	—
1359	C₄⋊C₄	C₂⁶	1	64	yes	—
1360	C₄⋊C₄	C₂⁶	1	64	yes	—
1361	C₄⋊C₄	C₂⁶	1	32	yes	—
1362	C₄⋊C₄	C₂⁶	1	32	yes	—
1363	C₄⋊C₄	C₂⁶	1	192	yes	—
1364	C₄⋊C₄	C₂⁶	1	192	yes	—
1365	C₄⋊C₄	C₂⁶	1	192	yes	—
1366	C₂²⋊C₄	C₂⁶	1	96	yes	—
1367	C₂²⋊C₄	C₂⁶	1	192	yes	—
1368	C₂²⋊C₄	C₂⁶	1	192	yes	—
1369	C₂²⋊C₄	C₂⁶	1	192	yes	—
1370	C₂²⋊C₄	C₂⁶	1	384	yes	—
1371	C₂²⋊C₄	C₂⁶	1	192	yes	—
1372	C₂²⋊C₄	C₂⁶	1	96	yes	—
1373	C₂²⋊C₄	C₂⁶	1	96	yes	—
1374	C₂²⋊C₄	C₂⁶	1	96	yes	—
1375	C₂²⋊C₄	C₂⁶	1	384	yes	—
1376	C₂²⋊C₄	C₂⁶	1	64	yes	—
1377	C₂²⋊C₄	C₂⁶	1	192	yes	—
1378	C₂²⋊C₄	C₂⁶	1	192	yes	—
1379	C₂²⋊C₄	C₂⁶	1	192	yes	—
1380	C₂²⋊C₄	C₂⁶	1	192	yes	—
1381	C₄²	C₂⁶	1	16	yes	—
1382	C₄²	C₂⁶	1	48	yes	—
1383	C₄²	C₂⁶	1	16	yes	—
1384	C₄²	C₂⁶	1	16	yes	—
1385	C₄²	C₂⁶	1	16	yes	—
1386	C₄²	C₂⁶	1	48	yes	—
1387	C₄²	C₂⁶	1	48	yes	—
1388	C₄²	C₂⁶	1	48	yes	—
1389	C₄²	C₂⁶	1	48	yes	—
1390	C₄²	C₂⁶	1	64	yes	—
1391	C₄²	C₂⁶	1	48	yes	—
1392	C₄²	C₂⁶	1	48	yes	—
1393	C₄²	C₂⁶	1	48	yes	—
1394	C₄²	C₂⁶	1	48	yes	—
1395	C₄²	C₂⁶	1	48	yes	—
1396	C₄²	C₂⁶	1	48	yes	—
1397	C₄²	C₂⁶	1	48	yes	—
1398	C₄²	C₂⁶	1	192	yes	—
1399	C₄²	C₂⁶	1	192	yes	—
1400	C₂³	—	2	32	no	—
1401	C₂³	—	2	96	no	—
1402	C₂³	—	2	12	no	—
1403	C₂³	—	2	36	no	—
1404	C₂³	—	2	12	no	—
1405	C₂³	—	2	36	no	—
1406	C₂³	—	2	96	no	—
1407	C₂³	—	2	36	no	—
1408	C₂³	—	2	144	no	—
1409	C₂³	—	2	96	no	—
1410	C₂³	—	2	36	no	—
1411	C₂³	—	2	144	no	—
1412	C₂³	—	2	36	no	—
1413	C₂³	—	2	144	no	—
1414	C₂³	—	2	384	no	—
1415	C₂³	—	4	48	no	—
1416	C₂³	—	4	192	no	—
1417	C₂³	—	4	192	no	—
1418	C₂³	—	4	576	no	—
1419	C₂³	—	4	48	no	—
1420	C₂³	—	4	192	no	—
1421	C₂³	—	8	1152	no	—
1422	C₂³	C₂³×#41	1	72	yes	—
1423	C₂³	C₂³×#41	1	4	yes	—
1424	C₂³	C₂²×H(5,𝔽₂)	1	24	yes	—
1425	C₂³	C₂²×H(5,𝔽₂)	1	4	yes	—
1426	C₂³	C₂×#585	1	4	yes	—
1427	C₂³	C₂⁷	1	48	yes	—
1428	C₂³	C₂⁷	1	12	yes	—
1429	C₂³	C₂⁷	1	12	yes	—
1430	C₂³	C₂⁷	1	4	yes	—
1431	C₂³	C₂⁷	1	3	yes	—
1432	Q₈	—	2	96	no	—
1433	Q₈	—	2	64	no	—
1434	Q₈	—	2	192	no	—
1435	Q₈	—	2	64	no	—
1436	Q₈	—	4	192	no	—
1437	Q₈	C₂³×#41	1	64	yes	complemented
1438	D₄	—	2	384	no	—
1439	D₄	—	2	192	no	—
1440	D₄	—	2	384	no	—
1441	D₄	—	2	384	no	—
1442	D₄	—	2	192	no	—
1443	D₄	—	2	96	no	—
1444	D₄	—	2	192	no	—
1445	D₄	—	2	192	no	—
1446	D₄	—	4	192	no	—
1447	D₄	—	4	192	no	—
1448	D₄	—	4	384	no	—
1449	D₄	—	4	192	no	—
1450	D₄	C₂³×#41	1	192	yes	complemented
1451	C₂×C₄	—	2	12	no	—
1452	C₂×C₄	—	2	48	no	—
1453	C₂×C₄	—	2	36	no	—
1454	C₂×C₄	—	2	96	no	—
1455	C₂×C₄	—	2	36	no	—
1456	C₂×C₄	—	2	36	no	—
1457	C₂×C₄	—	2	96	no	—
1458	C₂×C₄	—	2	144	no	—
1459	C₂×C₄	—	2	12	no	—
1460	C₂×C₄	—	2	36	no	—
1461	C₂×C₄	—	2	36	no	—
1462	C₂×C₄	—	2	48	no	—
1463	C₂×C₄	—	2	32	no	—
1464	C₂×C₄	—	2	96	no	—
1465	C₂×C₄	—	2	96	no	—
1466	C₂×C₄	—	2	96	no	—
1467	C₂×C₄	—	2	384	no	—
1468	C₂×C₄	—	2	96	no	—
1469	C₂×C₄	—	2	96	no	—
1470	C₂×C₄	—	2	96	no	—
1471	C₂×C₄	—	2	96	no	—
1472	C₂×C₄	—	2	384	no	—
1473	C₂×C₄	—	2	32	no	—
1474	C₂×C₄	—	2	96	no	—
1475	C₂×C₄	—	2	96	no	—
1476	C₂×C₄	—	4	48	no	—
1477	C₂×C₄	—	4	48	no	—
1478	C₂×C₄	—	4	48	no	—
1479	C₂×C₄	—	4	192	no	—
1480	C₂×C₄	—	4	384	no	—
1481	C₂×C₄	—	4	192	no	—
1482	C₂×C₄	C₂³×#41	1	72	yes	—
1483	C₂×C₄	C₂³×#41	1	24	yes	—
1484	C₂×C₄	C₂³×#41	1	192	yes	complemented
1485	C₂×C₄	C₂²×H(5,𝔽₂)	1	24	yes	—
1486	C₂×C₄	C₂²×H(5,𝔽₂)	1	24	yes	—
1487	C₂×C₄	C₂²×H(5,𝔽₂)	1	64	yes	complemented
1488	C₂×C₄	C₂×#585	1	24	yes	—
1489	C₂×C₄	C₂⁷	1	4	yes	—
1490	C₂×C₄	C₂⁷	1	4	yes	—
1491	C₂×C₄	C₂⁷	1	12	yes	—
1492	C₂×C₄	C₂⁷	1	12	yes	—
1493	C₂×C₄	C₂⁷	1	16	yes	—
1494	C₂×C₄	C₂⁷	1	16	yes	—
1495	C₂×C₄	C₂⁷	1	12	yes	—
1496	C₂×C₄	C₂⁷	1	12	yes	—
1497	C₂×C₄	C₂⁷	1	12	yes	—
1498	C₂×C₄	C₂⁷	1	48	yes	—
1499	C₂×C₄	C₂⁷	1	12	yes	—
1500	C₂×C₄	C₂⁷	1	4	yes	—
1501	C₂×C₄	C₂⁷	1	4	yes	—
1502	C₂×C₄	C₂⁷	1	4	yes	—
1503	C₂×C₄	C₂⁷	1	4	yes	—
1504	C₂²	—	2	48	no	—
1505	C₂²	—	2	144	no	—
1506	C₂²	—	2	4	no	—
1507	C₂²	—	2	12	no	—
1508	C₂²	—	2	4	no	—
1509	C₂²	—	2	12	no	—
1510	C₂²	—	2	12	no	—
1511	C₂²	—	2	48	no	—
1512	C₂²	—	2	12	no	—
1513	C₂²	—	2	48	no	—
1514	C₂²	—	2	12	no	—
1515	C₂²	—	2	48	no	—
1516	C₂²	—	4	192	no	—
1517	C₂²	—	4	72	no	—
1518	C₂²	—	4	288	no	—
1519	C₂²	—	8	384	no	—
1520	C₂²	#62800	1	16	yes	direct product factor
1521	C₂²	C₂⁴×#41	1	24	yes	—
1522	C₂²	C₂⁴×#41	1	6	yes	—
1523	C₂²	C₂³×H(5,𝔽₂)	1	8	yes	—
1524	C₂²	C₂³×H(5,𝔽₂)	1	6	yes	—
1525	C₂²	C₂²×#585	1	6	yes	—
1526	C₂²	C₂⁸	1	1	yes	characteristic
1527	C₄	—	2	4	no	—
1528	C₄	—	2	16	no	—
1529	C₄	—	2	12	no	—
1530	C₄	—	2	12	no	—
1531	C₄	—	2	12	no	—
1532	C₄	—	2	48	no	—
1533	C₄	—	2	4	no	—
1534	C₄	—	2	12	no	—
1535	C₄	—	2	12	no	—
1536	C₄	—	2	16	no	—
1537	C₄	C₂⁴×#41	1	24	yes	—
1538	C₄	C₂⁴×#41	1	8	yes	—
1539	C₄	C₂³×H(5,𝔽₂)	1	8	yes	—
1540	C₄	C₂³×H(5,𝔽₂)	1	8	yes	—
1541	C₄	C₂²×#585	1	8	yes	—
1542	C₂	—	2	8	no	—
1543	C₂	—	2	24	no	—
1544	C₂	—	4	12	no	—
1545	C₂	—	4	48	no	—
1546	C₂	C₂×#62800	1	12	yes	direct product factor
1547	C₂	C₂⁵×#41	1	1	yes	characteristic
1548	C₂	C₂⁴×H(5,𝔽₂)	1	1	yes	characteristic
1549	C₂	C₂³×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₄	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁸
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₄ ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#62800	C₂	direct (N × H)
2. C₂²×#3511	C₂	semidirect
3. C₂²×#3508	C₂	semidirect
4. C₂²×#3494	C₂	semidirect
5. C₂²×#3503	C₂	semidirect
6. C₂²×#3498	C₂	semidirect
7. C₂²×#3488	C₂	semidirect
8. C₂²×#3517	C₂	semidirect
9. C₂²×#3522	C₂	semidirect
10. C₂²×#3514	C₂	semidirect
11. C₂²×#3519	C₂	semidirect
12. C₂²×#3483	C₂	semidirect
13. C₂²×#3481	C₂	semidirect
14. C₂²×#3480	C₂	semidirect
15. C₂²×D₄×#41	C₂	semidirect
16. C₂²×#3460	C₂	semidirect
17. C₂²×#3444	C₂	semidirect
18. C₂³×#532	C₂	semidirect
19. C₂²×C₄×H(5,𝔽₂)	C₂	semidirect
20. C₂³×C₄×#41	C₂	semidirect
23. C₂⁴×#41	C₂²	semidirect
24. #62800	C₂²	direct (N × H)
25. C₂×#3511	C₂²	semidirect
26. C₂×#3508	C₂²	semidirect
27. C₂×#3494	C₂²	semidirect
28. C₂×#3503	C₂²	semidirect
29. C₂×#3498	C₂²	semidirect
30. C₂×#3488	C₂²	semidirect
31. C₂×#3517	C₂²	semidirect
32. C₂×#3522	C₂²	semidirect
33. C₂×#3514	C₂²	semidirect
34. C₂×#3519	C₂²	semidirect
35. C₂×#3483	C₂²	semidirect
36. C₂×#3481	C₂²	semidirect
37. C₂²×Q₈²	C₂²	semidirect
38. C₂×#3480	C₂²	semidirect
39. C₂²×#559	C₂²	semidirect
40. C₂²×#559	C₂²	semidirect
41. C₂²×#557	C₂²	semidirect
42. C₂²×#555	C₂²	semidirect
43. C₂²×#555	C₂²	semidirect
44. C₂²×#556	C₂²	semidirect
45. C₂²×#553	C₂²	semidirect
46. C₂²×#553	C₂²	semidirect
47. C₂²×#553	C₂²	semidirect
48. C₂²×#551	C₂²	semidirect
49. C₂²×#554	C₂²	semidirect
50. C₂²×#554	C₂²	semidirect
51. C₂×D₄×#41	C₂²	semidirect
52. C₂²×#550	C₂²	semidirect
53. C₂²×#550	C₂²	semidirect
54. C₂²×#550	C₂²	semidirect
55. C₂²×#550	C₂²	semidirect
56. C₂²×#550	C₂²	semidirect
57. C₂²×#547	C₂²	semidirect
58. C₂²×#547	C₂²	semidirect
59. C₂²×#548	C₂²	semidirect
60. C₂²×#548	C₂²	semidirect
61. C₂²×#546	C₂²	semidirect
62. C₂²×#546	C₂²	semidirect
63. C₂²×#546	C₂²	semidirect
64. C₂²×#546	C₂²	semidirect
65. C₂²×D₄×Q₈	C₂²	semidirect
66. C₂²×D₄²	C₂²	semidirect
67. C₂²×D₄²	C₂²	semidirect
68. C₂²×D₄²	C₂²	semidirect
69. C₂×#3460	C₂²	semidirect
70. C₂²×#542	C₂²	semidirect
71. C₂²×#542	C₂²	semidirect
72. C₂²×#540	C₂²	semidirect
73. C₂²×#540	C₂²	semidirect
74. C₂²×#544	C₂²	semidirect
75. C₂²×#537	C₂²	semidirect
76. C₂²×#535	C₂²	semidirect
77. C₂²×#535	C₂²	semidirect
78. C₂²×#538	C₂²	semidirect
79. C₂×#3444	C₂²	semidirect
80. C₂²×#533	C₂²	semidirect
81. C₂²×#533	C₂²	semidirect
82. C₂²×#533	C₂²	semidirect
83. C₂²×#532	C₂²	semidirect
84. C₂²×#532	C₂²	semidirect
85. C₂²×#532	C₂²	semidirect
86. C₂²×#532	C₂²	semidirect
87. C₂²×#532	C₂²	semidirect
88. C₂²×#532	C₂²	semidirect
89. C₂²×#532	C₂²	semidirect
90. C₂²×#532	C₂²	semidirect
91. C₂²×#532	C₂²	semidirect
92. C₂²×#532	C₂²	semidirect
93. C₂²×#532	C₂²	semidirect
94. C₂²×#532	C₂²	semidirect
95. C₂³×C₄⋊Q₈	C₂²	semidirect
96. C₂³×#127	C₂²	semidirect
97. C₂²×#529	C₂²	semidirect
98. C₂²×#529	C₂²	semidirect
99. C₂²×#529	C₂²	semidirect
100. C₂²×#529	C₂²	semidirect
101. C₂²×#529	C₂²	semidirect
102. C₂²×#529	C₂²	semidirect
103. C₂²×#529	C₂²	semidirect
104. C₂³×#124	C₂²	semidirect
105. C₂²×#525	C₂²	semidirect
106. C₂²×#525	C₂²	semidirect
107. C₂²×#525	C₂²	semidirect
108. C₂²×#525	C₂²	semidirect
109. C₂³×#121	C₂²	semidirect
110. C₂³×#121	C₂²	semidirect
111. C₂×C₄×H(5,𝔽₂)	C₂²	semidirect
113. C₂²×#520	C₂²	semidirect
114. C₂²×#520	C₂²	semidirect
115. C₂²×#518	C₂²	semidirect
116. C₂²×#518	C₂²	semidirect
119. C₂²×C₄×#41	C₂²	semidirect
120. C₂²×C₄×#41	C₂²	semidirect
121. C₂²×C₄×#41	C₂²	semidirect
122. C₂²×C₄×#41	C₂²	semidirect
123. C₂²×C₄×#41	C₂²	semidirect
124. C₂²×C₄×#41	C₂²	semidirect
125. C₂²×C₄×#41	C₂²	semidirect
126. C₂²×C₄×#41	C₂²	semidirect
127. C₂²×C₄×#41	C₂²	semidirect
128. C₂²×C₄×#41	C₂²	semidirect
129. C₂²×C₄×#41	C₂²	semidirect
130. C₂³×C₄×Q₈	C₂²	semidirect
131. C₂³×C₄×Q₈	C₂²	semidirect
132. C₂³×C₄×D₄	C₂²	semidirect
133. C₂³×C₄×D₄	C₂²	semidirect
134. C₂³×C₄×D₄	C₂²	semidirect
135. C₂³×C₄×D₄	C₂²	semidirect
136. C₂³×C₄×D₄	C₂²	semidirect
137. C₂³×#117	C₂²	semidirect
138. C₂⁴×C₄²	C₂²	semidirect
155. C₂³×#41	C₂³	semidirect
168. #3522	C₂³	semidirect
169. #3519	C₂³	semidirect
170. #3517	C₂³	semidirect
171. #3514	C₂³	semidirect
172. #3511	C₂³	semidirect
173. #3508	C₂³	semidirect
174. #3503	C₂³	semidirect
175. #3498	C₂³	semidirect
176. #3494	C₂³	semidirect
177. #3488	C₂³	semidirect
178. #3483	C₂³	semidirect
179. #3481	C₂³	semidirect
180. #3480	C₂³	semidirect
181. C₂×#559	C₂³	semidirect
182. C₂×#559	C₂³	semidirect
183. C₂×Q₈²	C₂³	semidirect
184. C₂×#557	C₂³	semidirect
185. C₂×#556	C₂³	semidirect
186. C₂×#555	C₂³	semidirect
187. C₂×#555	C₂³	semidirect
188. C₂×#554	C₂³	semidirect
189. C₂×#554	C₂³	semidirect
190. C₂×#553	C₂³	semidirect
191. C₂×#553	C₂³	semidirect
192. C₂×#553	C₂³	semidirect
193. C₂×#551	C₂³	semidirect
194. D₄×#41	C₂³	semidirect
195. C₂×#550	C₂³	semidirect
196. C₂×#550	C₂³	semidirect
197. C₂×#550	C₂³	semidirect
198. C₂×#550	C₂³	semidirect
199. C₂×#550	C₂³	semidirect
200. C₂×D₄×Q₈	C₂³	semidirect
201. C₂×#548	C₂³	semidirect
202. C₂×#548	C₂³	semidirect
203. C₂×#547	C₂³	semidirect
204. C₂×#547	C₂³	semidirect
205. C₂×#546	C₂³	semidirect
206. C₂×#546	C₂³	semidirect
207. C₂×#546	C₂³	semidirect
208. C₂×#546	C₂³	semidirect
209. C₂×D₄²	C₂³	semidirect
210. C₂×D₄²	C₂³	semidirect
211. C₂×D₄²	C₂³	semidirect
212. #3460	C₂³	semidirect
213. C₂×#544	C₂³	semidirect
214. C₂×#542	C₂³	semidirect
215. C₂×#542	C₂³	semidirect
216. C₂×#540	C₂³	semidirect
217. C₂×#540	C₂³	semidirect
218. C₂×#538	C₂³	semidirect
219. C₂×#537	C₂³	semidirect
220. C₂×#535	C₂³	semidirect
221. C₂×#535	C₂³	semidirect
222. #3444	C₂³	semidirect
223. C₂×#533	C₂³	semidirect
224. C₂×#533	C₂³	semidirect
225. C₂×#533	C₂³	semidirect
226. C₂×#532	C₂³	semidirect
227. C₂×#532	C₂³	semidirect
228. C₂×#532	C₂³	semidirect
229. C₂×#532	C₂³	semidirect
230. C₂×#532	C₂³	semidirect
231. C₂×#532	C₂³	semidirect
232. C₂×#532	C₂³	semidirect
233. C₂×#532	C₂³	semidirect
234. C₂×#532	C₂³	semidirect
235. C₂×#532	C₂³	semidirect
236. C₂×#532	C₂³	semidirect
237. C₂×#532	C₂³	semidirect
245. C₂²×C₄⋊Q₈	C₂³	semidirect
251. C₂²×#127	C₂³	semidirect
252. C₂×#529	C₂³	semidirect
253. C₂×#529	C₂³	semidirect
254. C₂×#529	C₂³	semidirect
255. C₂×#529	C₂³	semidirect
256. C₂×#529	C₂³	semidirect
257. C₂×#529	C₂³	semidirect
258. C₂×#529	C₂³	semidirect
274. C₂²×#124	C₂³	semidirect
275. C₂×#525	C₂³	semidirect
276. C₂×#525	C₂³	semidirect
277. C₂×#525	C₂³	semidirect
278. C₂×#525	C₂³	semidirect
312. C₂²×#121	C₂³	semidirect
313. C₂²×#121	C₂³	semidirect
317. C₄×H(5,𝔽₂)	C₂³	semidirect
319. C₂×#520	C₂³	semidirect
320. C₂×#520	C₂³	semidirect
321. C₂×#518	C₂³	semidirect
322. C₂×#518	C₂³	semidirect
325. C₂×C₄×#41	C₂³	semidirect
326. C₂×C₄×#41	C₂³	semidirect
327. C₂×C₄×#41	C₂³	semidirect
328. C₂×C₄×#41	C₂³	semidirect
329. C₂×C₄×#41	C₂³	semidirect
330. C₂×C₄×#41	C₂³	semidirect
331. C₂×C₄×#41	C₂³	semidirect
332. C₂×C₄×#41	C₂³	semidirect
333. C₂×C₄×#41	C₂³	semidirect
334. C₂×C₄×#41	C₂³	semidirect
335. C₂×C₄×#41	C₂³	semidirect
351. C₂²×C₄×Q₈	C₂³	semidirect
352. C₂²×C₄×Q₈	C₂³	semidirect
387. C₂²×C₄×D₄	C₂³	semidirect
388. C₂²×C₄×D₄	C₂³	semidirect
389. C₂²×C₄×D₄	C₂³	semidirect
390. C₂²×C₄×D₄	C₂³	semidirect
391. C₂²×C₄×D₄	C₂³	semidirect
405. C₂²×#117	C₂³	semidirect
428. C₂³×C₄²	C₂³	semidirect
445. C₂²×#41	#41	semidirect
458. C₂²×#41	C₂⁴	semidirect
525. #559	C₂⁴	semidirect
526. #559	C₂⁴	semidirect
527. Q₈²	C₂⁴	semidirect
528. #557	C₂⁴	semidirect
529. #556	C₂⁴	semidirect
530. #555	C₂⁴	semidirect
531. #555	C₂⁴	semidirect
532. #554	C₂⁴	semidirect
533. #554	C₂⁴	semidirect
534. #553	C₂⁴	semidirect
535. #553	C₂⁴	semidirect
536. #553	C₂⁴	semidirect
537. #551	C₂⁴	semidirect
538. #550	C₂⁴	semidirect
539. #550	C₂⁴	semidirect
540. #550	C₂⁴	semidirect
541. #550	C₂⁴	semidirect
542. #550	C₂⁴	semidirect
543. D₄×Q₈	C₂⁴	semidirect
544. #548	C₂⁴	semidirect
545. #548	C₂⁴	semidirect
546. #547	C₂⁴	semidirect
547. #547	C₂⁴	semidirect
548. #546	C₂⁴	semidirect
549. #546	C₂⁴	semidirect
550. #546	C₂⁴	semidirect
551. #546	C₂⁴	semidirect
552. D₄²	C₂⁴	semidirect
553. D₄²	C₂⁴	semidirect
554. D₄²	C₂⁴	semidirect
555. #544	C₂⁴	semidirect
556. #542	C₂⁴	semidirect
557. #542	C₂⁴	semidirect
558. #540	C₂⁴	semidirect
559. #540	C₂⁴	semidirect
560. #538	C₂⁴	semidirect
561. #537	C₂⁴	semidirect
562. #535	C₂⁴	semidirect
563. #535	C₂⁴	semidirect
564. #533	C₂⁴	semidirect
565. #533	C₂⁴	semidirect
566. #533	C₂⁴	semidirect
567. #532	C₂⁴	semidirect
568. #532	C₂⁴	semidirect
569. #532	C₂⁴	semidirect
570. #532	C₂⁴	semidirect
571. #532	C₂⁴	semidirect
572. #532	C₂⁴	semidirect
573. #532	C₂⁴	semidirect
574. #532	C₂⁴	semidirect
575. #532	C₂⁴	semidirect
576. #532	C₂⁴	semidirect
577. #532	C₂⁴	semidirect
585. C₂×C₄⋊Q₈	C₂⁴	semidirect
591. C₂×#127	C₂⁴	semidirect
592. #529	C₂⁴	semidirect
593. #529	C₂⁴	semidirect
594. #529	C₂⁴	semidirect
595. #529	C₂⁴	semidirect
596. #529	C₂⁴	semidirect
597. #529	C₂⁴	semidirect
598. #529	C₂⁴	semidirect
614. C₂×#124	C₂⁴	semidirect
615. #525	C₂⁴	semidirect
616. #525	C₂⁴	semidirect
617. #525	C₂⁴	semidirect
618. #525	C₂⁴	semidirect
652. C₂×#121	C₂⁴	semidirect
653. C₂×#121	C₂⁴	semidirect
658. #520	C₂⁴	semidirect
659. #520	C₂⁴	semidirect
660. #518	C₂⁴	semidirect
661. #518	C₂⁴	semidirect
664. C₄×#41	C₂⁴	semidirect
665. C₄×#41	C₂⁴	semidirect
666. C₄×#41	C₂⁴	semidirect
667. C₄×#41	C₂⁴	semidirect
668. C₄×#41	C₂⁴	semidirect
669. C₄×#41	C₂⁴	semidirect
670. C₄×#41	C₂⁴	semidirect
671. C₄×#41	C₂⁴	semidirect
672. C₄×#41	C₂⁴	semidirect
673. C₄×#41	C₂⁴	semidirect
689. C₂×C₄×Q₈	C₂⁴	semidirect
690. C₂×C₄×Q₈	C₂⁴	semidirect
725. C₂×C₄×D₄	C₂⁴	semidirect
726. C₂×C₄×D₄	C₂⁴	semidirect
727. C₂×C₄×D₄	C₂⁴	semidirect
728. C₂×C₄×D₄	C₂⁴	semidirect
729. C₂×C₄×D₄	C₂⁴	semidirect
743. C₂×#117	C₂⁴	semidirect
820. C₂²×C₄²	C₂⁴	semidirect
846. C₂×#41	C₂×#41	semidirect
865. C₂²×Q₈	C₂×#41	semidirect
892. C₂²×D₄	C₂×#41	semidirect
937. C₂³×C₄	C₂×#41	semidirect
938. C₂³×C₄	H(5,𝔽₂)	semidirect
1219. #41	C₂²×#41	semidirect
1227. C₂×Q₈	C₂²×#41	semidirect
1252. C₂×D₄	C₂²×#41	semidirect
1303. C₂²×C₄	C₂²×#41	semidirect
1306. C₂²×C₄	C₂×H(5,𝔽₂)	semidirect
1437. Q₈	C₂³×#41	semidirect
1450. D₄	C₂³×#41	semidirect
1484. C₂×C₄	C₂³×#41	semidirect
1487. C₂×C₄	C₂²×H(5,𝔽₂)	semidirect
1520. C₂²	#62800	direct (N × H)
1546. C₂	C₂×#62800	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#62800	2
C₂²×#3511	2
C₂²×#3508	2
C₂²×#3494	2
C₂²×#3503	2
C₂²×#3498	2
C₂²×#3488	2
C₂²×#3517	2
C₂²×#3522	2
C₂²×#3514	2
C₂²×#3519	2
C₂²×#3483	2
C₂²×#3481	2
C₂²×#3480	2
C₂²×D₄×#41	2
C₂²×#3460	2
C₂²×#3444	2
C₂³×#532	2
C₂²×C₄×H(5,𝔽₂)	2
C₂³×C₄×#41	2

Subgroups — C22×#62800 #72301083

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#62800 #72301083