Subgroups — C₂×#72215721 #72251415

Order 2048.

At least 8865 conjugacy classes of subgroups; only the 32264 normal subgroups are shown.

The subgroup lattice has 1429 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#7500747	C₂	1	2	yes	maximal, complemented
2	C₂×#6461519	C₂	1	2	yes	maximal, complemented
3	C₂×#7487873	C₂	1	8	yes	maximal, complemented
4	C₂×#7504669	C₂	1	2	yes	maximal, complemented
5	C₂×#6437950	C₂	1	2	yes	maximal, complemented
6	C₂×#7504667	C₂	1	2	yes	maximal, complemented
7	C₂×#7500919	C₂	1	2	yes	maximal, complemented
8	C₂×#6437952	C₂	1	2	yes	maximal, complemented
9	C₂×#7487868	C₂	1	8	yes	maximal, complemented
10	C₂×#7487871	C₂	1	8	yes	maximal, complemented
11	C₂×#10576178	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#7504294	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#6407636	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#7487865	C₂	1	8	yes	maximal, complemented
15	C₂×#7504292	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#6451776	C₂	1	2	yes	maximal, complemented
17	C₂²×#30434	C₂	1	2	yes	maximal, complemented
18	C₂×#6437575	C₂	1	2	yes	maximal, complemented
19	C₂×#6437445	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#6437449	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×#23882	C₂	1	2	yes	maximal, complemented
22	C₂×#10575547	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#6434130	C₂	1	2	yes	maximal, complemented
24	#72215721	C₂	1	64	yes	maximal, direct product factor
25	C₂×#63090	C₂²	1	2	yes	complemented
26	C₂²×#3585	C₂²	1	2	yes	complemented
27	C₂×#62814	C₂²	1	1	yes	characteristic, complemented
28	C₂×#62811	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#3484	C₂²	1	1	yes	characteristic, complemented
30	C₂³×#535	C₂²	1	1	yes	characteristic, complemented
31	#10576178	C₂²	1	32	yes	complemented
32	C₂×#61110	C₂²	1	8	yes	complemented
33	C₂×#61109	C₂²	1	8	yes	complemented
34	#10575547	C₂²	1	32	yes	complemented
35	C₂×#60806	C₂²	1	4	yes	complemented
36	C₂×#60806	C₂²	1	4	yes	complemented
37	C₂×#60799	C₂²	1	4	yes	complemented
38	C₂×#60798	C₂²	1	4	yes	complemented
39	C₂×#60644	C₂²	1	1	yes	characteristic
40	C₂×#60644	C₂²	1	1	yes	characteristic, complemented
41	C₂×#60619	C₂²	1	1	yes	characteristic, complemented
42	C₂×#60619	C₂²	1	1	yes	characteristic, complemented
43	C₂×#60426	C₂²	1	2	yes	complemented
44	C₂×#60426	C₂²	1	2	yes	complemented
45	C₂×#60469	C₂²	1	2	yes	complemented
46	C₂×#60469	C₂²	1	2	yes	complemented
47	C₂²×#3068	C₂²	1	2	yes	complemented
48	C₂²×#3068	C₂²	1	2	yes	complemented
49	C₂²×#3025	C₂²	1	2	yes	complemented
50	C₂×#60387	C₂²	1	2	yes	complemented
51	C₂×#60387	C₂²	1	2	yes	complemented
52	C₂×#60359	C₂²	1	2	yes	complemented
53	C₂×#60359	C₂²	1	2	yes	complemented
54	C₂²×#3021	C₂²	1	1	yes	characteristic
55	C₂²×#3021	C₂²	1	2	yes	complemented
56	C₂²×#3021	C₂²	1	1	yes	characteristic, complemented
57	C₂²×#3019	C₂²	1	1	yes	characteristic
58	C₂²×#3019	C₂²	1	1	yes	characteristic, complemented
59	C₂²×#3003	C₂²	1	2	yes	complemented
60	C₂²×#3003	C₂²	1	2	yes	complemented
61	C₂×#60182	C₂²	1	2	yes	complemented
62	C₂×#60124	C₂²	1	1	yes	characteristic, complemented
63	C₂×#60093	C₂²	1	2	yes	complemented
64	#7504669	C₂²	1	64	yes	complemented
65	#7504667	C₂²	1	64	yes	complemented
66	C₂×#31417	C₂²	1	16	yes	complemented
67	C₂×#31415	C₂²	1	16	yes	complemented
68	C₂×#31414	C₂²	1	16	yes	complemented
69	C₂×#31414	C₂²	1	16	yes	complemented
70	#7504294	C₂²	1	32	yes	complemented
71	#7504292	C₂²	1	32	yes	complemented
72	C₂×#31283	C₂²	1	8	yes	complemented
73	C₂×#31284	C₂²	1	8	yes	complemented
74	C₂×#31282	C₂²	1	8	yes	complemented
75	C₂×#31282	C₂²	1	8	yes	complemented
76	#7500919	C₂²	1	64	yes	complemented
77	C₂×#30498	C₂²	1	16	yes	complemented
78	C₂×#30496	C₂²	1	16	yes	complemented
79	#7500747	C₂²	1	64	yes	complemented
80	C₂×#30435	C₂²	1	8	yes	complemented
81	C₂×#30436	C₂²	1	8	yes	complemented
82	C₂×#30436	C₂²	1	8	yes	complemented
83	C₂×#30434	C₂²	1	16	yes	complemented
84	C₂×#30434	C₂²	1	16	yes	complemented
85	C₂×#30434	C₂²	1	8	yes	complemented
86	C₂×#30434	C₂²	1	64	yes	complemented
87	#7487873	C₂²	1	256	yes	complemented
88	#7487871	C₂²	1	256	yes	complemented
89	#7487868	C₂²	1	256	yes	complemented
90	#7487865	C₂²	1	256	yes	complemented
91	#6461519	C₂²	1	64	yes	complemented
92	C₂×#29385	C₂²	1	16	yes	complemented
93	C₂×#29384	C₂²	1	16	yes	complemented
94	#6451776	C₂²	1	64	yes	complemented
95	C₂×#23995	C₂²	1	16	yes	complemented
96	C₂×#23994	C₂²	1	16	yes	complemented
97	#6437952	C₂²	1	64	yes	complemented
98	#6437950	C₂²	1	64	yes	complemented
99	C₂×#24473	C₂²	1	16	yes	complemented
100	C₂×#24475	C₂²	1	16	yes	complemented
101	C₂×#24472	C₂²	1	16	yes	complemented
102	C₂×#24472	C₂²	1	16	yes	complemented
103	#6437575	C₂²	1	64	yes	complemented
104	C₂×#23885	C₂²	1	8	yes	complemented
105	C₂×#23884	C₂²	1	8	yes	complemented
106	C₂×#23883	C₂²	1	8	yes	complemented
107	C₂×#23882	C₂²	1	16	yes	complemented
108	C₂×#23882	C₂²	1	16	yes	complemented
109	C₂×#23882	C₂²	1	8	yes	complemented
110	C₂×#23882	C₂²	1	64	yes	complemented
111	#6437449	C₂²	1	32	yes	complemented
112	#6437445	C₂²	1	32	yes	complemented
113	C₂×#23913	C₂²	1	4	yes	complemented
114	C₂×#23915	C₂²	1	4	yes	complemented
115	C₂×#23912	C₂²	1	4	yes	complemented
116	C₂×#23912	C₂²	1	4	yes	complemented
117	C₂×#23910	C₂²	1	4	yes	complemented
118	C₂×#23907	C₂²	1	4	yes	complemented
119	C₂×#23906	C₂²	1	4	yes	complemented
120	C₂×#23906	C₂²	1	4	yes	complemented
121	#6434130	C₂²	1	64	yes	complemented
122	C₂×#30057	C₂²	1	16	yes	complemented
123	C₂×#30056	C₂²	1	16	yes	complemented
124	C₂×#23751	C₂²	1	2	yes	complemented
125	C₂²×#2091	C₂²	1	2	yes	complemented
126	C₂×#23652	C₂²	1	2	yes	complemented
127	C₂×#23652	C₂²	1	2	yes	complemented
128	C₂²×#2081	C₂²	1	2	yes	complemented
129	C₂²×#2081	C₂²	1	2	yes	complemented
130	C₂×#23527	C₂²	1	2	yes	complemented
131	C₂×#23525	C₂²	1	2	yes	complemented
132	C₂×#23525	C₂²	1	2	yes	complemented
133	C₂²×#2048	C₂²	1	2	yes	complemented
134	C₂²×#2048	C₂²	1	2	yes	complemented
135	C₂×#23472	C₂²	1	2	yes	complemented
136	C₂×#23472	C₂²	1	2	yes	complemented
137	C₂²×#2010	C₂²	1	2	yes	—
138	C₂²×#2010	C₂²	1	2	yes	complemented
139	C₂²×#2010	C₂²	1	2	yes	complemented
140	C₂×#23412	C₂²	1	2	yes	complemented
141	C₂×#23412	C₂²	1	2	yes	complemented
142	C₂²×#2008	C₂²	1	2	yes	complemented
143	C₂²×#2008	C₂²	1	2	yes	complemented
144	C₂×#23400	C₂²	1	2	yes	complemented
145	C₂×#23400	C₂²	1	2	yes	complemented
146	C₂×#23402	C₂²	1	2	yes	complemented
147	C₂×#23402	C₂²	1	2	yes	complemented
148	#6407636	C₂²	1	32	yes	complemented
149	C₂×#23362	C₂²	1	8	yes	complemented
150	C₂×#23361	C₂²	1	8	yes	complemented
151	C₂×#21080	C₂²	1	2	yes	complemented
152	C₂×#21080	C₂²	1	2	yes	complemented
153	C₂×#21009	C₂²	1	2	yes	complemented
154	C₂²×#1910	C₂²	1	2	yes	complemented
155	C₂×#21000	C₂²	1	2	yes	complemented
156	C₂×#21000	C₂²	1	2	yes	complemented
157	C₂×#20998	C₂²	1	2	yes	complemented
158	C₂×#20998	C₂²	1	2	yes	complemented
159	C₂²×#1904	C₂²	1	2	yes	complemented
160	C₂²×#1904	C₂²	1	2	yes	complemented
161	C₂×#20995	C₂²	1	2	yes	complemented
162	C₂×#20995	C₂²	1	2	yes	complemented
163	C₂²×#1903	C₂²	1	2	yes	complemented
164	C₂²×#1903	C₂²	1	2	yes	complemented
165	C₂×#20979	C₂²	1	2	yes	complemented
166	C₂×#20979	C₂²	1	2	yes	complemented
167	C₂²×#1891	C₂²	1	2	yes	complemented
168	C₂²×#1891	C₂²	1	2	yes	complemented
169	C₂²×#1891	C₂²	1	2	yes	complemented
170	C₂×#20956	C₂²	1	1	yes	characteristic, complemented
171	C₂×#20956	C₂²	1	1	yes	characteristic, complemented
172	C₂×#20953	C₂²	1	1	yes	characteristic, complemented
173	C₂×#20953	C₂²	1	1	yes	characteristic, complemented
174	C₂×#20947	C₂²	1	2	yes	complemented
175	C₂×#20867	C₂²	1	2	yes	complemented
176	C₂×#20867	C₂²	1	2	yes	complemented
177	C₂×#20776	C₂²	1	2	yes	complemented
178	C₂×#20708	C₂²	1	2	yes	complemented
179	C₂×#20623	C₂²	1	2	yes	complemented
180	C₂²×#1795	C₂²	1	2	yes	complemented
181	C₂×#20591	C₂²	1	1	yes	characteristic, complemented
182	C₂²×#1783	C₂²	1	1	yes	characteristic, complemented
183	C₂²×#585	C₂³	1	1	yes	characteristic
184	C₂²×#585	C₂³	1	2	yes	—
185	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
186	C₂⁴×#41	C₂³	1	1	yes	characteristic
187	C₂⁵×D₄	C₂³	1	1	yes	characteristic
188	#63090	C₂³	1	32	yes	complemented
189	C₂×#3586	C₂³	1	8	yes	complemented
190	C₂×#3585	C₂³	1	16	yes	—
191	C₂×#3585	C₂³	1	32	yes	complemented
192	C₂×#3585	C₂³	1	8	yes	complemented
193	C₂²×#575	C₂³	1	2	yes	—
194	C₂²×#575	C₂³	1	2	yes	—
195	C₂²×#575	C₂³	1	2	yes	—
196	C₂²×#575	C₂³	1	2	yes	—
197	C₂²×#575	C₂³	1	2	yes	—
198	C₂²×#575	C₂³	1	2	yes	—
199	C₂²×#575	C₂³	1	2	yes	—
200	C₂³×AGL(1,ℤ/8)	C₂³	1	2	yes	—
201	C₂³×AGL(1,ℤ/8)	C₂³	1	2	yes	—
202	C₂³×AGL(1,ℤ/8)	C₂³	1	2	yes	—
203	C₂³×AGL(1,ℤ/8)	C₂³	1	2	yes	—
204	C₂²×#568	C₂³	1	2	yes	—
205	C₂²×#568	C₂³	1	2	yes	—
206	C₂²×#568	C₂³	1	2	yes	—
207	#62814	C₂³	1	16	yes	complemented
208	#62811	C₂³	1	16	yes	complemented
209	C₂×#3487	C₂³	1	2	yes	complemented
210	C₂×#3486	C₂³	1	2	yes	complemented
211	C₂×#3485	C₂³	1	2	yes	complemented
212	C₂×#3484	C₂³	1	4	yes	—
213	C₂×#3484	C₂³	1	4	yes	—
214	C₂×#3484	C₂³	1	16	yes	complemented
215	C₂×#3484	C₂³	1	2	yes	complemented
216	C₂×#3455	C₂³	1	4	yes	complemented
217	C₂×#3458	C₂³	1	1	yes	characteristic
218	C₂×#3449	C₂³	1	2	yes	—
219	C₂×#3449	C₂³	1	1	yes	characteristic
220	C₂²×#535	C₂³	1	2	yes	—
221	C₂²×#535	C₂³	1	1	yes	characteristic
222	C₂²×#535	C₂³	1	1	yes	characteristic
223	C₂²×#535	C₂³	1	1	yes	characteristic
224	C₂²×#535	C₂³	1	1	yes	characteristic
225	C₂²×#535	C₂³	1	2	yes	complemented
226	C₂²×#535	C₂³	1	2	yes	complemented
227	C₂²×#535	C₂³	1	16	yes	complemented
228	C₂×#3444	C₂³	1	4	yes	complemented
229	C₂³×#127	C₂³	1	2	yes	complemented
230	C₂³×#124	C₂³	1	2	yes	complemented
231	C₂²×#525	C₂³	1	2	yes	—
232	C₂²×#525	C₂³	1	2	yes	—
233	C₂²×#525	C₂³	1	2	yes	—
234	C₂×#3428	C₂³	1	2	yes	—
235	C₂×#3428	C₂³	1	1	yes	characteristic
236	C₂²×#518	C₂³	1	1	yes	characteristic
237	C₂³×#117	C₂³	1	1	yes	characteristic
238	#61110	C₂³	1	128	yes	complemented
239	#61109	C₂³	1	128	yes	complemented
240	#60806	C₂³	1	64	yes	complemented
241	#60806	C₂³	1	64	yes	complemented
242	#60799	C₂³	1	64	yes	complemented
243	#60798	C₂³	1	64	yes	complemented
244	#60644	D₄	1	16	yes	complemented
245	#60644	C₂³	1	16	yes	—
246	#60644	C₂³	1	16	yes	complemented
247	C₂×#3155	D₄	1	8	yes	complemented
248	C₂×#3154	D₄	1	8	yes	complemented
249	C₂×#3153	C₂³	1	4	yes	—
250	C₂×#3153	C₂³	1	4	yes	complemented
251	C₂×#3151	C₂³	1	4	yes	—
252	C₂×#3151	C₂³	1	4	yes	complemented
253	#60619	C₂³	1	16	yes	complemented
254	#60619	C₂³	1	16	yes	complemented
255	C₂×#3140	C₂³	1	4	yes	complemented
256	C₂×#3140	C₂³	1	4	yes	complemented
257	C₂×#3138	C₂³	1	4	yes	complemented
258	C₂×#3138	C₂³	1	4	yes	complemented
259	#60469	C₂³	1	32	yes	complemented
260	#60469	C₂³	1	32	yes	complemented
261	C₂×#3069	C₂³	1	8	yes	complemented
262	C₂×#3069	C₂³	1	8	yes	complemented
263	C₂×#3068	C₂³	1	16	yes	—
264	C₂×#3068	C₂³	1	32	yes	complemented
265	C₂×#3068	C₂³	1	8	yes	complemented
266	C₂×#3068	C₂³	1	16	yes	complemented
267	C₂×#3068	C₂³	1	32	yes	complemented
268	C₂×#3068	C₂³	1	8	yes	complemented
269	#60426	C₂³	1	32	yes	complemented
270	#60426	C₂³	1	32	yes	complemented
271	C₂×#3040	C₂³	1	8	yes	complemented
272	C₂×#3040	C₂³	1	8	yes	complemented
273	C₂×#3038	C₂³	1	8	yes	complemented
274	C₂×#3038	C₂³	1	8	yes	complemented
275	C₂×#3025	C₂³	1	8	yes	complemented
276	C₂×#3025	C₂³	1	8	yes	complemented
277	C₂×#3025	C₂³	1	32	yes	complemented
278	#60387	C₂³	1	32	yes	complemented
279	#60387	C₂³	1	32	yes	complemented
280	C₂×#3022	C₂³	1	8	yes	complemented
281	C₂×#3021	C₂³	1	16	yes	—
282	C₂×#3021	C₂³	1	8	yes	complemented
283	C₂×#3021	C₂³	1	16	yes	complemented
284	C₂×#3021	C₂³	1	32	yes	complemented
285	C₂×#3021	C₂³	1	16	yes	complemented
286	C₂×#3019	C₂³	1	16	yes	—
287	C₂×#3019	C₂³	1	16	yes	complemented
288	C₂×#3018	C₂³	1	16	yes	complemented
289	C₂²×#454	C₂³	1	4	yes	—
290	C₂²×#454	C₂³	1	4	yes	complemented
291	C₂²×#455	C₂³	1	4	yes	—
292	C₂²×#455	C₂³	1	4	yes	—
293	C₂²×#453	C₂³	1	4	yes	—
294	C₂²×#453	C₂³	1	4	yes	—
295	C₂²×#453	C₂³	1	4	yes	—
296	C₂²×#453	C₂³	1	4	yes	complemented
297	#60359	C₂³	1	32	yes	complemented
298	#60359	C₂³	1	32	yes	complemented
299	C₂×#3005	C₂³	1	4	yes	complemented
300	C₂×#3005	C₂³	1	4	yes	complemented
301	C₂×#3005	C₂³	1	4	yes	complemented
302	C₂×#3005	C₂³	1	4	yes	complemented
303	C₂×#3004	C₂³	1	4	yes	complemented
304	C₂×#3004	C₂³	1	4	yes	complemented
305	C₂×#3003	C₂³	1	4	yes	complemented
306	C₂×#3003	C₂³	1	8	yes	complemented
307	C₂×#3003	C₂³	1	8	yes	complemented
308	C₂×#3003	C₂³	1	32	yes	complemented
309	C₂×#3003	C₂³	1	4	yes	complemented
310	C₂×#3003	C₂³	1	8	yes	complemented
311	C₂×#3003	C₂³	1	8	yes	complemented
312	C₂×#3003	C₂³	1	32	yes	complemented
313	#60182	C₂³	1	32	yes	complemented
314	C₂×#2956	C₂³	1	16	yes	complemented
315	#60124	C₂³	1	16	yes	complemented
316	C₂×#2921	C₂³	1	4	yes	complemented
317	C₂×#2920	C₂³	1	4	yes	complemented
318	C₂²×#430	C₂³	1	2	yes	—
319	C₂²×#430	C₂³	1	2	yes	—
320	C₂²×#430	C₂³	1	2	yes	—
321	C₂×#2905	C₂³	1	2	yes	—
322	#60093	C₂³	1	32	yes	complemented
323	C₂×#2901	C₂³	1	16	yes	complemented
324	C₂²×#421	C₂³	1	2	yes	—
325	C₂²×#421	C₂³	1	2	yes	—
326	C₂²×#421	C₂³	1	2	yes	—
327	C₂²×#421	C₂³	1	2	yes	—
328	C₂²×#421	C₂³	1	2	yes	—
329	C₂²×#421	C₂³	1	2	yes	—
330	C₂²×#421	C₂³	1	2	yes	—
331	C₂²×#421	C₂³	1	2	yes	—
332	C₂²×#421	C₂³	1	2	yes	—
333	C₂²×#421	C₂³	1	2	yes	—
334	C₂×#2896	C₂³	1	2	yes	—
335	C₂×#2896	C₂³	1	2	yes	—
336	C₂×#2896	C₂³	1	2	yes	—
337	C₂×#2896	C₂³	1	2	yes	—
338	C₂²×#418	C₂³	1	2	yes	—
339	C₂²×#418	C₂³	1	2	yes	—
340	C₂²×#418	C₂³	1	2	yes	—
341	C₂²×#418	C₂³	1	2	yes	—
342	C₂²×#413	C₂³	1	2	yes	—
343	C₂²×#413	C₂³	1	2	yes	—
344	C₂²×#413	C₂³	1	2	yes	—
345	C₂²×#413	C₂³	1	1	yes	characteristic
346	C₂²×#413	C₂³	1	2	yes	—
347	C₂²×#413	C₂³	1	1	yes	characteristic
348	C₂³×#100	C₂³	1	1	yes	characteristic
349	C₂³×#100	C₂³	1	2	yes	—
350	C₂³×#100	C₂³	1	1	yes	characteristic
351	C₂²×#410	C₂³	1	2	yes	—
352	C₂²×#410	C₂³	1	2	yes	—
353	C₂²×#410	C₂³	1	2	yes	—
354	C₂²×#407	C₂³	1	2	yes	—
355	C₂²×#407	C₂³	1	2	yes	—
356	C₂²×#407	C₂³	1	2	yes	—
357	C₂×#2873	C₂³	1	1	yes	characteristic
358	C₂×#2873	C₂³	1	1	yes	characteristic
359	#31417	C₂³	1	256	yes	complemented
360	#31415	C₂³	1	256	yes	complemented
361	#31414	C₂³	1	256	yes	complemented
362	#31414	C₂³	1	256	yes	complemented
363	#31284	C₂³	1	128	yes	complemented
364	#31283	C₂³	1	128	yes	complemented
365	#31282	C₂³	1	128	yes	complemented
366	#31282	C₂³	1	128	yes	complemented
367	#30498	C₂³	1	256	yes	complemented
368	#30496	C₂³	1	256	yes	complemented
369	#30436	C₂³	1	128	yes	complemented
370	#30436	C₂³	1	128	yes	complemented
371	#30435	C₂³	1	128	yes	complemented
372	#30434	C₂³	1	128	yes	complemented
373	#30434	C₂³	1	256	yes	complemented
374	#30434	C₂³	1	256	yes	complemented
375	#30057	C₂³	1	256	yes	complemented
376	#30056	C₂³	1	256	yes	complemented
377	#29385	C₂³	1	256	yes	complemented
378	#29384	C₂³	1	256	yes	complemented
379	#24475	C₂³	1	256	yes	complemented
380	#24473	C₂³	1	256	yes	complemented
381	#24472	C₂³	1	256	yes	complemented
382	#24472	C₂³	1	256	yes	complemented
383	#23995	C₂³	1	256	yes	complemented
384	#23994	C₂³	1	256	yes	complemented
385	#23915	C₂³	1	64	yes	complemented
386	#23913	C₂³	1	64	yes	complemented
387	#23912	C₂³	1	64	yes	complemented
388	#23912	C₂³	1	64	yes	complemented
389	#23910	C₂³	1	64	yes	complemented
390	#23907	C₂³	1	64	yes	complemented
391	#23906	C₂³	1	64	yes	complemented
392	#23906	C₂³	1	64	yes	complemented
393	#23885	C₂³	1	128	yes	complemented
394	#23884	C₂³	1	128	yes	complemented
395	#23883	C₂³	1	128	yes	complemented
396	#23882	C₂³	1	256	yes	complemented
397	#23882	C₂³	1	256	yes	complemented
398	#23882	C₂³	1	128	yes	complemented
399	#23751	C₂³	1	32	yes	complemented
400	C₂×#2102	C₂³	1	16	yes	complemented
401	C₂×#2091	C₂³	1	8	yes	complemented
402	C₂×#2091	C₂³	1	8	yes	complemented
403	C₂×#2091	C₂³	1	32	yes	complemented
404	#23652	C₂³	1	32	yes	complemented
405	#23652	C₂³	1	32	yes	complemented
406	C₂×#2082	C₂³	1	8	yes	complemented
407	C₂×#2082	C₂³	1	8	yes	complemented
408	C₂×#2081	C₂³	1	8	yes	complemented
409	C₂×#2081	C₂³	1	8	yes	complemented
410	C₂×#2081	C₂³	1	16	yes	complemented
411	C₂×#2081	C₂³	1	16	yes	complemented
412	C₂×#2081	C₂³	1	32	yes	complemented
413	C₂×#2081	C₂³	1	32	yes	complemented
414	#23527	C₂³	1	32	yes	complemented
415	C₂×#2050	C₂³	1	16	yes	complemented
416	#23525	C₂³	1	32	yes	complemented
417	#23525	C₂³	1	32	yes	complemented
418	C₂×#2049	C₂³	1	8	yes	complemented
419	C₂×#2049	C₂³	1	8	yes	complemented
420	C₂×#2048	C₂³	1	8	yes	complemented
421	C₂×#2048	C₂³	1	16	yes	complemented
422	C₂×#2048	C₂³	1	32	yes	complemented
423	C₂×#2048	C₂³	1	8	yes	complemented
424	C₂×#2048	C₂³	1	16	yes	complemented
425	C₂×#2048	C₂³	1	32	yes	complemented
426	#23472	C₂³	1	32	yes	complemented
427	#23472	C₂³	1	32	yes	complemented
428	C₂×#2031	C₂³	1	16	yes	complemented
429	C₂×#2031	C₂³	1	16	yes	complemented
430	C₂×#2010	C₂³	1	8	yes	—
431	C₂×#2010	C₂³	1	8	yes	—
432	C₂×#2010	C₂³	1	8	yes	—
433	C₂×#2010	C₂³	1	8	yes	—
434	C₂×#2010	C₂³	1	32	yes	—
435	C₂×#2010	C₂³	1	32	yes	complemented
436	C₂×#2010	C₂³	1	8	yes	complemented
437	C₂×#2010	C₂³	1	8	yes	complemented
438	C₂×#2010	C₂³	1	32	yes	complemented
439	#23412	C₂³	1	32	yes	complemented
440	#23412	C₂³	1	32	yes	complemented
441	C₂×#2009	C₂³	1	8	yes	complemented
442	C₂×#2009	C₂³	1	8	yes	complemented
443	C₂×#2008	C₂³	1	16	yes	—
444	C₂×#2008	C₂³	1	16	yes	—
445	C₂×#2008	C₂³	1	32	yes	complemented
446	C₂×#2008	C₂³	1	32	yes	complemented
447	C₂×#2008	C₂³	1	8	yes	complemented
448	C₂×#2008	C₂³	1	8	yes	complemented
449	#23402	C₂³	1	32	yes	complemented
450	#23402	C₂³	1	32	yes	complemented
451	#23400	C₂³	1	32	yes	complemented
452	#23400	C₂³	1	32	yes	complemented
453	C₂×#2003	C₂³	1	8	yes	complemented
454	C₂×#2003	C₂³	1	8	yes	complemented
455	C₂×#2004	C₂³	1	8	yes	complemented
456	C₂×#2004	C₂³	1	8	yes	complemented
457	C₂×#2002	C₂³	1	8	yes	complemented
458	C₂×#2002	C₂³	1	8	yes	complemented
459	C₂×#2002	C₂³	1	8	yes	complemented
460	C₂×#2002	C₂³	1	8	yes	complemented
461	#23362	C₂³	1	128	yes	complemented
462	#23361	C₂³	1	128	yes	complemented
463	#21080	C₂³	1	32	yes	complemented
464	#21080	C₂³	1	32	yes	complemented
465	C₂×#1932	C₂³	1	16	yes	complemented
466	C₂×#1932	C₂³	1	16	yes	complemented
467	#21009	C₂³	1	32	yes	complemented
468	C₂×#1910	C₂³	1	8	yes	complemented
469	C₂×#1910	C₂³	1	16	yes	complemented
470	C₂×#1910	C₂³	1	32	yes	complemented
471	C₂×#1909	C₂³	1	8	yes	complemented
472	#21000	C₂³	1	32	yes	complemented
473	#21000	C₂³	1	32	yes	complemented
474	C₂×#1906	C₂³	1	16	yes	complemented
475	C₂×#1906	C₂³	1	16	yes	complemented
476	#20998	C₂³	1	32	yes	complemented
477	#20998	C₂³	1	32	yes	complemented
478	C₂×#1905	C₂³	1	8	yes	complemented
479	C₂×#1905	C₂³	1	8	yes	complemented
480	C₂×#1904	C₂³	1	8	yes	complemented
481	C₂×#1904	C₂³	1	8	yes	complemented
482	C₂×#1904	C₂³	1	16	yes	complemented
483	C₂×#1904	C₂³	1	16	yes	complemented
484	C₂×#1904	C₂³	1	32	yes	complemented
485	C₂×#1904	C₂³	1	32	yes	complemented
486	#20995	C₂³	1	32	yes	complemented
487	#20995	C₂³	1	32	yes	complemented
488	C₂×#1903	C₂³	1	8	yes	complemented
489	C₂×#1903	C₂³	1	8	yes	complemented
490	C₂×#1903	C₂³	1	16	yes	complemented
491	C₂×#1903	C₂³	1	16	yes	complemented
492	C₂×#1903	C₂³	1	32	yes	complemented
493	C₂×#1903	C₂³	1	32	yes	complemented
494	C₂×#1902	C₂³	1	8	yes	complemented
495	C₂×#1902	C₂³	1	8	yes	complemented
496	#20979	C₂³	1	32	yes	complemented
497	#20979	C₂³	1	32	yes	complemented
498	C₂×#1897	C₂³	1	8	yes	complemented
499	C₂×#1897	C₂³	1	8	yes	complemented
500	C₂×#1896	C₂³	1	8	yes	complemented
501	C₂×#1896	C₂³	1	8	yes	complemented
502	C₂×#1891	C₂³	1	8	yes	complemented
503	C₂×#1891	C₂³	1	8	yes	complemented
504	C₂×#1891	C₂³	1	8	yes	complemented
505	C₂×#1891	C₂³	1	8	yes	complemented
506	C₂×#1891	C₂³	1	8	yes	complemented
507	C₂×#1891	C₂³	1	8	yes	complemented
508	C₂×#1891	C₂³	1	32	yes	complemented
509	C₂×#1891	C₂³	1	32	yes	complemented
510	C₂×#1891	C₂³	1	32	yes	complemented
511	#20956	C₂³	1	16	yes	complemented
512	#20956	C₂³	1	16	yes	complemented
513	#20953	C₂³	1	16	yes	complemented
514	#20953	C₂³	1	16	yes	complemented
515	C₂×#1888	C₂³	1	4	yes	complemented
516	C₂×#1888	C₂³	1	4	yes	complemented
517	C₂×#1887	C₂³	1	4	yes	complemented
518	C₂×#1887	C₂³	1	4	yes	complemented
519	C₂×#1887	C₂³	1	4	yes	complemented
520	C₂×#1887	C₂³	1	4	yes	complemented
521	C₂×#1885	C₂³	1	4	yes	complemented
522	C₂×#1885	C₂³	1	4	yes	complemented
523	#20947	C₂³	1	32	yes	complemented
524	C₂×#1884	C₂³	1	16	yes	complemented
525	#20867	C₂³	1	32	yes	complemented
526	#20867	C₂³	1	32	yes	complemented
527	C₂×#1861	C₂³	1	16	yes	complemented
528	C₂×#1861	C₂³	1	16	yes	complemented
529	#20776	C₂³	1	32	yes	complemented
530	C₂×#1841	C₂³	1	16	yes	complemented
531	#20708	C₂³	1	32	yes	complemented
532	C₂×#1827	C₂³	1	16	yes	complemented
533	#20623	C₂³	1	32	yes	complemented
534	C₂×#1796	C₂³	1	8	yes	complemented
535	C₂×#1795	C₂³	1	16	yes	—
536	C₂×#1795	C₂³	1	32	yes	complemented
537	C₂×#1795	C₂³	1	8	yes	complemented
538	#20591	C₂³	1	16	yes	complemented
539	C₂×#1785	C₂³	1	2	yes	complemented
540	C₂×#1785	C₂³	1	2	yes	complemented
541	C₂×#1784	C₂³	1	2	yes	complemented
542	C₂×#1783	C₂³	1	2	yes	complemented
543	C₂×#1783	C₂³	1	4	yes	complemented
544	C₂×#1783	C₂³	1	4	yes	complemented
545	C₂×#1783	C₂³	1	16	yes	complemented
546	C₂²×#344	C₂³	1	2	yes	—
547	C₂²×#344	C₂³	1	2	yes	—
548	C₂²×#344	C₂³	1	2	yes	—
549	C₂²×#344	C₂³	1	2	yes	—
550	C₂²×#344	C₂³	1	2	yes	—
551	C₂²×#344	C₂³	1	2	yes	—
552	C₂×#1733	C₂³	1	2	yes	—
553	C₂×#1733	C₂³	1	2	yes	—
554	C₂×#1733	C₂³	1	2	yes	—
555	C₂×#1733	C₂³	1	2	yes	—
556	C₂²×#338	C₂³	1	2	yes	—
557	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
558	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
559	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
560	C₂×#585	C₂⁴	1	8	yes	—
561	C₂×#585	C₂⁴	1	8	yes	—
562	C₂×#585	C₂⁴	1	16	yes	—
563	C₂²×2₋¹⁺⁴	C₂⁴	1	2	yes	—
564	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	—
565	C₂²×H(5,𝔽₂)	C₂⁴	1	8	yes	—
566	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
567	C₂³×#41	C₂⁴	1	1	yes	characteristic
568	C₂³×#41	C₂⁴	1	1	yes	characteristic
569	C₂³×#41	C₂⁴	1	8	yes	—
570	C₂³×#41	C₂⁴	1	2	yes	—
571	C₂³×#41	C₂⁴	1	2	yes	—
572	C₂³×#41	C₂⁴	1	2	yes	—
573	C₂³×#41	C₂⁴	1	1	yes	characteristic
574	C₂³×#41	C₂⁴	1	1	yes	characteristic
575	C₂⁴×Q₈	C₂⁴	1	1	yes	characteristic
576	C₂⁴×D₄	C₂⁴	1	2	yes	—
577	C₂⁴×D₄	C₂⁴	1	2	yes	—
578	C₂⁴×D₄	C₂⁴	1	8	yes	—
579	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
580	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
581	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
582	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
583	#3586	C₂⁴	1	64	yes	complemented
584	#3585	C₂⁴	1	128	yes	—
585	#3585	C₂⁴	1	64	yes	complemented
586	C₂×#575	C₂×D₄	1	16	yes	complemented
587	C₂×#575	C₂⁴	1	8	yes	—
588	C₂×#575	C₂⁴	1	16	yes	—
589	C₂×#575	C₂⁴	1	16	yes	—
590	C₂×#575	C₂⁴	1	16	yes	—
591	C₂×#575	C₂⁴	1	16	yes	—
592	C₂×#575	C₂⁴	1	8	yes	—
593	C₂×#575	C₂⁴	1	8	yes	—
594	C₂×#575	C₂⁴	1	16	yes	—
595	C₂×#575	C₂⁴	1	16	yes	—
596	C₂×#575	C₂⁴	1	16	yes	—
597	C₂²×#137	C₂×D₄	1	4	yes	complemented
598	C₂²×#137	C₂⁴	1	4	yes	—
599	C₂²×#137	C₂⁴	1	4	yes	—
600	C₂²×#137	C₂⁴	1	4	yes	—
601	C₂²×#137	C₂⁴	1	4	yes	—
602	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	complemented
603	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	16	yes	complemented
604	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	complemented
605	C₂²×AGL(1,ℤ/8)	C₂⁴	1	8	yes	—
606	C₂²×AGL(1,ℤ/8)	C₂⁴	1	4	yes	—
607	C₂²×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
608	C₂²×AGL(1,ℤ/8)	C₂⁴	1	4	yes	—
609	C₂²×AGL(1,ℤ/8)	C₂⁴	1	8	yes	—
610	C₂²×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
611	C₂²×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
612	C₂²×AGL(1,ℤ/8)	C₂⁴	1	8	yes	—
613	C₂²×AGL(1,ℤ/8)	C₂⁴	1	4	yes	—
614	C₂²×AGL(1,ℤ/8)	C₂⁴	1	8	yes	—
615	C₂²×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
616	C₂²×AGL(1,ℤ/8)	C₂⁴	1	4	yes	—
617	C₂²×#135	C₂×D₄	1	8	yes	complemented
618	C₂³×SD₁₆	C₂×D₄	1	4	yes	complemented
619	C₂³×D₈	C₂×D₄	1	4	yes	complemented
620	C₂×#568	C₂⁴	1	8	yes	—
621	C₂×#568	C₂⁴	1	8	yes	—
622	C₂×#568	C₂⁴	1	16	yes	—
623	C₂×#568	C₂⁴	1	16	yes	—
624	C₂×#568	C₂⁴	1	8	yes	—
625	C₂×#568	C₂⁴	1	16	yes	—
626	C₂³×M₁₆	C₂⁴	1	2	yes	—
627	C₂³×M₁₆	C₂⁴	1	2	yes	—
628	C₂³×M₁₆	C₂⁴	1	2	yes	—
629	C₂³×M₁₆	C₂⁴	1	2	yes	—
630	C₂³×M₁₆	C₂⁴	1	2	yes	—
631	C₂³×M₁₆	C₂⁴	1	2	yes	—
632	#3487	C₂⁴	1	16	yes	complemented
633	#3486	C₂⁴	1	16	yes	complemented
634	#3485	C₂⁴	1	16	yes	complemented
635	#3484	C₂⁴	1	32	yes	—
636	#3484	C₂⁴	1	32	yes	—
637	#3484	C₂⁴	1	16	yes	complemented
638	#3458	C₂⁴	1	8	yes	—
639	#3455	C₂⁴	1	32	yes	complemented
640	#3449	C₂×D₄	1	8	yes	complemented
641	#3449	C₂⁴	1	16	yes	—
642	#3449	C₂⁴	1	8	yes	—
643	C₂×#536	C₂×D₄	1	4	yes	complemented
644	C₂×#536	C₂⁴	1	4	yes	—
645	C₂×#535	C₂×D₄	1	8	yes	—
646	C₂×#535	C₂×D₄	1	8	yes	—
647	C₂×#535	C₂×D₄	1	4	yes	complemented
648	C₂×#535	C₂⁴	1	8	yes	—
649	C₂×#535	C₂⁴	1	16	yes	—
650	C₂×#535	C₂⁴	1	4	yes	—
651	C₂×#535	C₂⁴	1	8	yes	—
652	C₂×#535	C₂⁴	1	8	yes	—
653	C₂×#535	C₂⁴	1	8	yes	—
654	C₂×#535	C₂⁴	1	8	yes	—
655	C₂×#535	C₂⁴	1	16	yes	complemented
656	C₂×#535	C₂⁴	1	16	yes	complemented
657	#3444	C₂⁴	1	32	yes	complemented
658	C₂×#533	C₂⁴	1	4	yes	—
659	C₂×#532	C₂⁴	1	4	yes	—
660	C₂²×#127	C₂⁴	1	2	yes	—
661	C₂²×#127	C₂⁴	1	2	yes	—
662	C₂²×#127	C₂⁴	1	2	yes	—
663	C₂²×#127	C₂⁴	1	2	yes	—
664	C₂²×#127	C₂⁴	1	16	yes	complemented
665	C₂²×#124	C₂⁴	1	2	yes	—
666	C₂²×#124	C₂⁴	1	2	yes	—
667	C₂²×#124	C₂⁴	1	2	yes	—
668	C₂²×#124	C₂⁴	1	2	yes	—
669	C₂²×#124	C₂⁴	1	16	yes	complemented
670	C₂×#525	C₂⁴	1	4	yes	—
671	C₂×#525	C₂⁴	1	4	yes	—
672	C₂×#525	C₂⁴	1	16	yes	—
673	C₂×#525	C₂⁴	1	4	yes	—
674	C₂×#525	C₂⁴	1	4	yes	—
675	C₂×#525	C₂⁴	1	16	yes	—
676	C₂×#525	C₂⁴	1	16	yes	—
677	C₂×#525	C₂⁴	1	4	yes	—
678	C₂×#525	C₂⁴	1	4	yes	—
679	#3428	C₂⁴	1	16	yes	—
680	#3428	C₂⁴	1	8	yes	—
681	C₂×#519	C₂⁴	1	2	yes	—
682	C₂×#518	C₂⁴	1	4	yes	—
683	C₂×#518	C₂⁴	1	8	yes	—
684	C₂×#518	C₂⁴	1	2	yes	—
685	C₂×C₄×#41	C₂⁴	1	8	yes	—
686	C₂²×#117	C₂⁴	1	8	yes	—
687	C₂²×#117	C₂⁴	1	2	yes	—
688	C₂²×#117	C₂⁴	1	2	yes	—
689	C₂²×#117	C₂⁴	1	2	yes	—
690	C₂²×#117	C₂⁴	1	2	yes	—
691	C₂²×#117	C₂⁴	1	1	yes	characteristic
692	C₂²×#117	C₂⁴	1	1	yes	characteristic
693	C₂³×C₄²	C₂⁴	1	2	yes	—
694	#3155	C₂×D₄	1	128	yes	complemented
695	#3154	C₂×D₄	1	128	yes	complemented
696	#3153	C₂×D₄	1	32	yes	complemented
697	#3153	C₂⁴	1	32	yes	—
698	#3153	C₂⁴	1	32	yes	complemented
699	#3151	C₂×D₄	1	32	yes	complemented
700	#3151	C₂⁴	1	32	yes	—
701	#3151	C₂⁴	1	32	yes	complemented
702	C₂×#497	C₂×D₄	1	8	yes	complemented
703	C₂×#496	C₂×D₄	1	8	yes	complemented
704	C₂×#496	C₂×D₄	1	16	yes	complemented
705	C₂×#495	C₂×D₄	1	16	yes	complemented
706	C₂×#493	C₂×D₄	1	8	yes	complemented
707	C₂×#492	C₂×D₄	1	8	yes	complemented
708	#3140	C₂⁴	1	32	yes	complemented
709	#3140	C₂⁴	1	32	yes	complemented
710	#3138	C₂⁴	1	32	yes	complemented
711	#3138	C₂⁴	1	32	yes	complemented
712	#3069	C₂⁴	1	64	yes	complemented
713	#3069	C₂⁴	1	64	yes	complemented
714	#3068	C₂⁴	1	128	yes	—
715	#3068	C₂⁴	1	64	yes	complemented
716	#3068	C₂⁴	1	64	yes	complemented
717	#3068	C₂⁴	1	128	yes	complemented
718	#3040	C₂⁴	1	64	yes	complemented
719	#3040	C₂⁴	1	64	yes	complemented
720	#3038	C₂⁴	1	64	yes	complemented
721	#3038	C₂⁴	1	64	yes	complemented
722	#3025	C₂⁴	1	64	yes	complemented
723	#3025	C₂⁴	1	64	yes	complemented
724	#3022	C₂⁴	1	64	yes	complemented
725	#3021	C₂⁴	1	64	yes	complemented
726	#3021	C₂⁴	1	128	yes	complemented
727	#3018	C₂⁴	1	128	yes	complemented
728	C₂×#454	C₂⁴	1	32	yes	—
729	C₂×#454	C₂⁴	1	32	yes	complemented
730	C₂×#455	C₂⁴	1	32	yes	—
731	C₂×#455	C₂⁴	1	32	yes	—
732	C₂×#453	C₂⁴	1	32	yes	—
733	C₂×#453	C₂⁴	1	32	yes	—
734	C₂×#453	C₂⁴	1	32	yes	—
735	C₂×#453	C₂⁴	1	32	yes	complemented
736	#3005	C₂⁴	1	32	yes	complemented
737	#3005	C₂⁴	1	32	yes	complemented
738	#3005	C₂⁴	1	32	yes	complemented
739	#3005	C₂⁴	1	32	yes	complemented
740	#3004	C₂⁴	1	32	yes	complemented
741	#3004	C₂⁴	1	32	yes	complemented
742	#3003	C₂⁴	1	32	yes	complemented
743	#3003	C₂⁴	1	64	yes	complemented
744	#3003	C₂⁴	1	64	yes	complemented
745	#3003	C₂⁴	1	32	yes	complemented
746	#3003	C₂⁴	1	64	yes	complemented
747	#3003	C₂⁴	1	64	yes	complemented
748	#2956	C₂⁴	1	128	yes	complemented
749	#2921	C₂⁴	1	32	yes	complemented
750	#2920	C₂⁴	1	32	yes	complemented
751	C₂×#430	C₂⁴	1	8	yes	—
752	C₂×#430	C₂⁴	1	16	yes	—
753	C₂×#430	C₂⁴	1	8	yes	—
754	C₂×#430	C₂⁴	1	16	yes	—
755	C₂×#430	C₂⁴	1	8	yes	—
756	C₂×#430	C₂⁴	1	16	yes	—
757	#2905	C₂⁴	1	16	yes	—
758	C₂×#423	C₂⁴	1	8	yes	—
759	#2901	C₂⁴	1	128	yes	complemented
760	C₂×#421	C₂⁴	1	8	yes	—
761	C₂×#421	C₂⁴	1	8	yes	—
762	C₂×#421	C₂⁴	1	8	yes	—
763	C₂×#421	C₂⁴	1	16	yes	—
764	C₂×#421	C₂⁴	1	8	yes	—
765	C₂×#421	C₂⁴	1	16	yes	—
766	C₂×#421	C₂⁴	1	16	yes	—
767	C₂×#421	C₂⁴	1	16	yes	—
768	C₂×#421	C₂⁴	1	8	yes	—
769	C₂×#421	C₂⁴	1	16	yes	—
770	C₂×#421	C₂⁴	1	8	yes	—
771	C₂×#421	C₂⁴	1	16	yes	—
772	C₂×#421	C₂⁴	1	16	yes	—
773	C₂×#421	C₂⁴	1	16	yes	—
774	C₂×#421	C₂⁴	1	16	yes	—
775	C₂×#421	C₂⁴	1	16	yes	—
776	C₂²×#104	C₂⁴	1	8	yes	—
777	C₂²×#104	C₂⁴	1	8	yes	—
778	C₂²×#104	C₂⁴	1	8	yes	—
779	C₂²×#104	C₂⁴	1	8	yes	—
780	#2896	C₂⁴	1	16	yes	—
781	#2896	C₂⁴	1	16	yes	—
782	#2896	C₂⁴	1	16	yes	—
783	#2896	C₂⁴	1	16	yes	—
784	C₂×#419	C₂⁴	1	4	yes	—
785	C₂×#419	C₂⁴	1	4	yes	—
786	C₂×#419	C₂⁴	1	4	yes	—
787	C₂×#419	C₂⁴	1	4	yes	—
788	C₂×#418	C₂⁴	1	16	yes	—
789	C₂×#418	C₂⁴	1	8	yes	—
790	C₂×#418	C₂⁴	1	4	yes	—
791	C₂×#418	C₂⁴	1	16	yes	—
792	C₂×#418	C₂⁴	1	8	yes	—
793	C₂×#418	C₂⁴	1	4	yes	—
794	C₂×#418	C₂⁴	1	4	yes	—
795	C₂×#418	C₂⁴	1	8	yes	—
796	C₂×#418	C₂⁴	1	16	yes	—
797	C₂×#418	C₂⁴	1	4	yes	—
798	C₂×#418	C₂⁴	1	8	yes	—
799	C₂×#418	C₂⁴	1	16	yes	—
800	C₂×#413	C₂⁴	1	8	yes	—
801	C₂×#413	C₂⁴	1	16	yes	—
802	C₂×#413	C₂⁴	1	8	yes	—
803	C₂×#413	C₂⁴	1	16	yes	—
804	C₂×#413	C₂⁴	1	8	yes	—
805	C₂×#413	C₂⁴	1	16	yes	—
806	C₂×#413	C₂⁴	1	8	yes	—
807	C₂×#413	C₂⁴	1	8	yes	—
808	C₂×#413	C₂⁴	1	16	yes	—
809	C₂²×#101	C₂⁴	1	2	yes	—
810	C₂²×#101	C₂⁴	1	2	yes	—
811	C₂²×#101	C₂⁴	1	4	yes	—
812	C₂²×#100	C₂⁴	1	4	yes	—
813	C₂²×#100	C₂⁴	1	8	yes	—
814	C₂²×#100	C₂⁴	1	2	yes	—
815	C₂²×#100	C₂⁴	1	4	yes	—
816	C₂²×#100	C₂⁴	1	8	yes	—
817	C₂²×#100	C₂⁴	1	2	yes	—
818	C₂²×#100	C₂⁴	1	4	yes	—
819	C₂²×#100	C₂⁴	1	8	yes	—
820	C₂²×#100	C₂⁴	1	16	yes	—
821	C₂×#410	C₂⁴	1	8	yes	—
822	C₂×#410	C₂⁴	1	16	yes	—
823	C₂×#410	C₂⁴	1	8	yes	—
824	C₂×#410	C₂⁴	1	16	yes	—
825	C₂×#410	C₂⁴	1	8	yes	—
826	C₂×#410	C₂⁴	1	16	yes	—
827	C₂×#407	C₂⁴	1	4	yes	—
828	C₂×#407	C₂⁴	1	4	yes	—
829	C₂×#407	C₂⁴	1	16	yes	—
830	C₂×#407	C₂⁴	1	4	yes	—
831	C₂×#407	C₂⁴	1	4	yes	—
832	C₂×#407	C₂⁴	1	16	yes	—
833	C₂×#407	C₂⁴	1	4	yes	—
834	C₂×#407	C₂⁴	1	4	yes	—
835	C₂×#407	C₂⁴	1	16	yes	—
836	#2873	C₂×D₄	1	8	yes	complemented
837	#2873	C₂⁴	1	8	yes	—
838	#2873	C₂⁴	1	8	yes	—
839	C₂×#405	C₂×D₄	1	8	yes	complemented
840	C₂×C₄×M₁₆	C₂⁴	1	4	yes	—
841	C₂×C₄×M₁₆	C₂⁴	1	4	yes	—
842	#2102	C₂⁴	1	128	yes	complemented
843	#2091	C₂⁴	1	64	yes	complemented
844	#2091	C₂⁴	1	64	yes	complemented
845	#2082	C₂⁴	1	64	yes	complemented
846	#2082	C₂⁴	1	64	yes	complemented
847	#2081	C₂⁴	1	64	yes	complemented
848	#2081	C₂⁴	1	128	yes	complemented
849	#2081	C₂⁴	1	128	yes	complemented
850	#2081	C₂⁴	1	64	yes	complemented
851	#2050	C₂⁴	1	128	yes	complemented
852	#2049	C₂⁴	1	64	yes	complemented
853	#2049	C₂⁴	1	64	yes	complemented
854	#2048	C₂⁴	1	64	yes	complemented
855	#2048	C₂⁴	1	128	yes	complemented
856	#2048	C₂⁴	1	64	yes	complemented
857	#2048	C₂⁴	1	128	yes	complemented
858	#2031	C₂⁴	1	128	yes	complemented
859	#2031	C₂⁴	1	128	yes	complemented
860	#2010	C₂⁴	1	64	yes	—
861	#2010	C₂⁴	1	64	yes	—
862	#2010	C₂⁴	1	64	yes	—
863	#2010	C₂⁴	1	64	yes	—
864	#2010	C₂⁴	1	64	yes	complemented
865	#2010	C₂⁴	1	64	yes	complemented
866	#2009	C₂⁴	1	64	yes	complemented
867	#2009	C₂⁴	1	64	yes	complemented
868	#2008	C₂⁴	1	128	yes	—
869	#2008	C₂⁴	1	128	yes	—
870	#2008	C₂⁴	1	64	yes	complemented
871	#2008	C₂⁴	1	64	yes	complemented
872	#2004	C₂⁴	1	64	yes	complemented
873	#2004	C₂⁴	1	64	yes	complemented
874	#2003	C₂⁴	1	64	yes	complemented
875	#2003	C₂⁴	1	64	yes	complemented
876	#2002	C₂⁴	1	64	yes	complemented
877	#2002	C₂⁴	1	64	yes	complemented
878	#2002	C₂⁴	1	64	yes	complemented
879	#2002	C₂⁴	1	64	yes	complemented
880	#1932	C₂⁴	1	128	yes	complemented
881	#1932	C₂⁴	1	128	yes	complemented
882	#1910	C₂⁴	1	128	yes	complemented
883	#1910	C₂⁴	1	64	yes	complemented
884	#1909	C₂⁴	1	64	yes	complemented
885	#1906	C₂⁴	1	128	yes	complemented
886	#1906	C₂⁴	1	128	yes	complemented
887	#1905	C₂⁴	1	64	yes	complemented
888	#1905	C₂⁴	1	64	yes	complemented
889	#1904	C₂⁴	1	128	yes	complemented
890	#1904	C₂⁴	1	128	yes	complemented
891	#1904	C₂⁴	1	64	yes	complemented
892	#1904	C₂⁴	1	64	yes	complemented
893	#1903	C₂⁴	1	128	yes	complemented
894	#1903	C₂⁴	1	128	yes	complemented
895	#1903	C₂⁴	1	64	yes	complemented
896	#1903	C₂⁴	1	64	yes	complemented
897	#1902	C₂⁴	1	64	yes	complemented
898	#1902	C₂⁴	1	64	yes	complemented
899	#1897	C₂⁴	1	64	yes	complemented
900	#1897	C₂⁴	1	64	yes	complemented
901	#1896	C₂⁴	1	64	yes	complemented
902	#1896	C₂⁴	1	64	yes	complemented
903	#1891	C₂⁴	1	64	yes	complemented
904	#1891	C₂⁴	1	64	yes	complemented
905	#1891	C₂⁴	1	64	yes	complemented
906	#1891	C₂⁴	1	64	yes	complemented
907	#1891	C₂⁴	1	64	yes	complemented
908	#1891	C₂⁴	1	64	yes	complemented
909	#1888	C₂⁴	1	32	yes	complemented
910	#1888	C₂⁴	1	32	yes	complemented
911	#1887	C₂⁴	1	32	yes	complemented
912	#1887	C₂⁴	1	32	yes	complemented
913	#1887	C₂⁴	1	32	yes	complemented
914	#1887	C₂⁴	1	32	yes	complemented
915	#1885	C₂⁴	1	32	yes	complemented
916	#1885	C₂⁴	1	32	yes	complemented
917	#1884	C₂⁴	1	128	yes	complemented
918	#1861	C₂⁴	1	128	yes	complemented
919	#1861	C₂⁴	1	128	yes	complemented
920	#1841	C₂⁴	1	128	yes	complemented
921	#1827	C₂⁴	1	128	yes	complemented
922	#1796	C₂⁴	1	64	yes	complemented
923	#1795	C₂⁴	1	128	yes	—
924	#1795	C₂⁴	1	64	yes	complemented
925	#1785	C₂⁴	1	16	yes	complemented
926	#1785	C₂⁴	1	16	yes	complemented
927	#1784	C₂⁴	1	16	yes	complemented
928	#1783	C₂⁴	1	16	yes	complemented
929	#1783	C₂⁴	1	32	yes	complemented
930	#1783	C₂⁴	1	32	yes	complemented
931	C₂×#344	C₂⁴	1	8	yes	—
932	C₂×#344	C₂⁴	1	8	yes	—
933	C₂×#344	C₂⁴	1	8	yes	—
934	C₂×#344	C₂⁴	1	16	yes	—
935	C₂×#344	C₂⁴	1	8	yes	—
936	C₂×#344	C₂⁴	1	16	yes	—
937	C₂×#344	C₂⁴	1	16	yes	—
938	C₂×#344	C₂⁴	1	16	yes	—
939	C₂×#344	C₂⁴	1	8	yes	—
940	C₂×#344	C₂⁴	1	16	yes	—
941	C₂×#344	C₂⁴	1	8	yes	—
942	C₂×#344	C₂⁴	1	16	yes	—
943	#1733	C₂⁴	1	16	yes	—
944	#1733	C₂⁴	1	16	yes	—
945	#1733	C₂⁴	1	16	yes	—
946	#1733	C₂⁴	1	16	yes	—
947	C₂×#339	C₂⁴	1	8	yes	—
948	C₂×#339	C₂⁴	1	8	yes	—
949	C₂×#339	C₂⁴	1	8	yes	—
950	C₂×#339	C₂⁴	1	8	yes	—
951	C₂×#338	C₂⁴	1	8	yes	—
952	C₂×#338	C₂⁴	1	16	yes	—
953	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	—
954	C₂×H(3,ℤ/4)	C₂⁴	1	16	yes	—
955	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	—
956	C₂×H(3,ℤ/4)	C₂⁴	1	16	yes	—
957	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	—
958	C₂×H(3,ℤ/4)	C₂⁴	1	16	yes	—
959	C₂⁶	H(5,𝔽₂)	1	1	yes	characteristic
960	#585	C₂⁵	1	32	yes	—
961	C₂×2₋¹⁺⁴	C₂⁵	1	8	yes	—
962	C₂×H(5,𝔽₂)	C₂⁵	1	16	yes	—
963	C₂×H(5,𝔽₂)	C₂⁵	1	8	yes	—
964	C₂²×#41	C₂²×D₄	1	4	yes	—
965	C₂²×#41	C₂²×D₄	1	4	yes	—
966	C₂²×#41	C₂²×D₄	1	4	yes	—
967	C₂²×#41	C₂²×D₄	1	8	yes	—
968	C₂²×#41	H(5,𝔽₂)	1	4	yes	—
969	C₂²×#41	H(5,𝔽₂)	1	4	yes	—
970	C₂²×#41	H(5,𝔽₂)	1	8	yes	—
971	C₂²×#41	H(5,𝔽₂)	1	8	yes	—
972	C₂²×#41	C₂⁵	1	4	yes	—
973	C₂²×#41	C₂⁵	1	8	yes	—
974	C₂²×#41	C₂⁵	1	4	yes	—
975	C₂²×#41	C₂⁵	1	8	yes	—
976	C₂²×#41	C₂⁵	1	4	yes	—
977	C₂²×#41	C₂⁵	1	8	yes	—
978	C₂²×#41	C₂⁵	1	4	yes	—
979	C₂²×#41	C₂⁵	1	4	yes	—
980	C₂²×#41	C₂⁵	1	4	yes	—
981	C₂²×#41	C₂⁵	1	4	yes	—
982	C₂³×Q₈	C₂²×D₄	1	2	yes	—
983	C₂³×Q₈	H(5,𝔽₂)	1	2	yes	—
984	C₂³×Q₈	H(5,𝔽₂)	1	2	yes	—
985	C₂³×Q₈	C₂⁵	1	1	yes	characteristic
986	C₂³×Q₈	C₂⁵	1	1	yes	characteristic
987	C₂³×Q₈	C₂⁵	1	4	yes	—
988	C₂³×D₄	C₂²×D₄	1	4	yes	—
989	C₂³×D₄	C₂²×D₄	1	4	yes	—
990	C₂³×D₄	C₂²×D₄	1	2	yes	—
991	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
992	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
993	C₂³×D₄	C₂⁵	1	2	yes	—
994	C₂³×D₄	C₂⁵	1	4	yes	—
995	C₂³×D₄	C₂⁵	1	1	yes	characteristic
996	C₂³×D₄	C₂⁵	1	2	yes	—
997	C₂³×D₄	C₂⁵	1	4	yes	—
998	C₂³×D₄	C₂⁵	1	1	yes	characteristic
999	C₂³×D₄	C₂⁵	1	8	yes	—
1000	C₂³×D₄	C₂⁵	1	8	yes	—
1001	C₂³×D₄	C₂⁵	1	4	yes	—
1002	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
1003	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
1004	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
1005	C₂⁴×C₄	H(5,𝔽₂)	1	4	yes	—
1006	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
1007	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
1008	C₂⁴×C₄	C₂⁵	1	4	yes	—
1009	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
1010	#575	C₂⁵	1	32	yes	—
1011	#575	C₂⁵	1	32	yes	—
1012	#575	C₂⁵	1	32	yes	—
1013	C₂×#137	C₂²×D₄	1	16	yes	complemented
1014	C₂×#137	C₂²×D₄	1	32	yes	complemented
1015	C₂×#137	C₂⁵	1	16	yes	—
1016	C₂×#137	C₂⁵	1	16	yes	—
1017	C₂×#137	C₂⁵	1	16	yes	—
1018	C₂×#137	C₂⁵	1	16	yes	—
1019	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	32	yes	—
1020	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	64	yes	complemented
1021	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	16	yes	complemented
1022	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	32	yes	complemented
1023	C₂×AGL(1,ℤ/8)	C₂⁵	1	32	yes	—
1024	C₂×AGL(1,ℤ/8)	C₂⁵	1	16	yes	—
1025	C₂×AGL(1,ℤ/8)	C₂⁵	1	16	yes	—
1026	C₂×AGL(1,ℤ/8)	C₂⁵	1	32	yes	—
1027	C₂×AGL(1,ℤ/8)	C₂⁵	1	32	yes	—
1028	C₂×AGL(1,ℤ/8)	C₂⁵	1	16	yes	—
1029	C₂×AGL(1,ℤ/8)	C₂⁵	1	32	yes	—
1030	C₂×AGL(1,ℤ/8)	C₂⁵	1	16	yes	—
1031	C₂×#135	C₂²×D₄	1	64	yes	complemented
1032	C₂²×Q₁₆	C₂²×D₄	1	8	yes	complemented
1033	C₂²×SD₁₆	C₂²×D₄	1	16	yes	—
1034	C₂²×SD₁₆	C₂²×D₄	1	32	yes	complemented
1035	C₂²×SD₁₆	C₂²×D₄	1	8	yes	complemented
1036	C₂²×SD₁₆	C₂²×D₄	1	8	yes	complemented
1037	C₂²×D₈	C₂²×D₄	1	16	yes	—
1038	C₂²×D₈	C₂²×D₄	1	32	yes	complemented
1039	C₂²×D₈	C₂²×D₄	1	8	yes	complemented
1040	#568	C₂⁵	1	32	yes	—
1041	#568	C₂⁵	1	32	yes	—
1042	#568	C₂⁵	1	32	yes	—
1043	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
1044	C₂²×M₁₆	C₂²×D₄	1	8	yes	—
1045	C₂²×M₁₆	C₂⁵	1	4	yes	—
1046	C₂²×M₁₆	C₂⁵	1	8	yes	—
1047	C₂²×M₁₆	C₂⁵	1	4	yes	—
1048	C₂²×M₁₆	C₂⁵	1	4	yes	—
1049	C₂²×M₁₆	C₂⁵	1	8	yes	—
1050	C₂²×M₁₆	C₂⁵	1	8	yes	—
1051	C₂²×M₁₆	C₂⁵	1	4	yes	—
1052	C₂²×M₁₆	C₂⁵	1	4	yes	—
1053	C₂²×M₁₆	C₂⁵	1	8	yes	—
1054	C₂²×M₁₆	C₂⁵	1	8	yes	—
1055	C₂²×M₁₆	C₂⁵	1	4	yes	—
1056	C₂²×M₁₆	C₂⁵	1	8	yes	—
1057	C₂³×C₈	C₂²×D₄	1	4	yes	—
1058	#536	C₂²×D₄	1	32	yes	complemented
1059	#536	C₂⁵	1	16	yes	—
1060	#535	C₂²×D₄	1	64	yes	—
1061	#535	C₂²×D₄	1	32	yes	complemented
1062	#535	C₂⁵	1	32	yes	—
1063	#535	C₂⁵	1	16	yes	—
1064	#533	C₂⁵	1	16	yes	—
1065	#532	C₂²×D₄	1	16	yes	complemented
1066	#532	C₂⁵	1	16	yes	—
1067	C₂×C₄⋊Q₈	C₂²×D₄	1	4	yes	complemented
1068	C₂×#127	C₂²×D₄	1	8	yes	—
1069	C₂×#127	C₂²×D₄	1	8	yes	—
1070	C₂×#127	C₂²×D₄	1	4	yes	complemented
1071	C₂×#127	C₂⁵	1	8	yes	—
1072	C₂×#127	C₂⁵	1	8	yes	—
1073	C₂×#127	C₂⁵	1	8	yes	—
1074	C₂×#127	C₂⁵	1	8	yes	—
1075	C₂×#124	C₂²×D₄	1	8	yes	—
1076	C₂×#124	C₂²×D₄	1	8	yes	—
1077	C₂×#124	C₂²×D₄	1	8	yes	complemented
1078	C₂×#124	C₂⁵	1	8	yes	—
1079	C₂×#124	C₂⁵	1	8	yes	—
1080	C₂×#124	C₂⁵	1	8	yes	—
1081	C₂×#124	C₂⁵	1	8	yes	—
1082	#525	C₂⁵	1	16	yes	—
1083	#525	C₂⁵	1	16	yes	—
1084	#525	C₂⁵	1	16	yes	—
1085	#525	C₂⁵	1	16	yes	—
1086	#525	C₂⁵	1	16	yes	—
1087	#525	C₂⁵	1	16	yes	—
1088	#519	C₂⁵	1	8	yes	—
1089	#518	C₂⁵	1	16	yes	—
1090	#518	C₂⁵	1	8	yes	—
1091	C₄×#41	C₂⁵	1	32	yes	—
1092	C₂×#117	C₂²×D₄	1	4	yes	—
1093	C₂×#117	C₂²×D₄	1	4	yes	—
1094	C₂×#117	H(5,𝔽₂)	1	4	yes	—
1095	C₂×#117	H(5,𝔽₂)	1	4	yes	—
1096	C₂×#117	C₂⁵	1	4	yes	—
1097	C₂×#117	C₂⁵	1	8	yes	—
1098	C₂×#117	C₂⁵	1	4	yes	—
1099	C₂×#117	C₂⁵	1	8	yes	—
1100	C₂×#117	C₂⁵	1	4	yes	—
1101	C₂×#117	C₂⁵	1	8	yes	—
1102	C₂×#117	C₂⁵	1	8	yes	—
1103	C₂×#117	C₂⁵	1	4	yes	—
1104	C₂×#117	C₂⁵	1	4	yes	—
1105	C₂²×C₄²	C₂⁵	1	8	yes	—
1106	C₂²×C₄²	C₂⁵	1	2	yes	—
1107	C₂²×C₄²	C₂⁵	1	2	yes	—
1108	#497	C₂²×D₄	1	64	yes	complemented
1109	#496	C₂²×D₄	1	64	yes	complemented
1110	#496	C₂²×D₄	1	128	yes	complemented
1111	#495	C₂²×D₄	1	128	yes	complemented
1112	#493	C₂²×D₄	1	64	yes	complemented
1113	#492	C₂²×D₄	1	64	yes	complemented
1114	#430	C₂⁵	1	32	yes	—
1115	#430	C₂⁵	1	32	yes	—
1116	#430	C₂⁵	1	32	yes	—
1117	#423	C₂⁵	1	32	yes	—
1118	#421	C₂⁵	1	32	yes	—
1119	#421	C₂⁵	1	32	yes	—
1120	#421	C₂⁵	1	32	yes	—
1121	#421	C₂⁵	1	32	yes	—
1122	#421	C₂⁵	1	32	yes	—
1123	#421	C₂⁵	1	32	yes	—
1124	C₂×#104	C₂⁵	1	32	yes	—
1125	C₂×#104	C₂⁵	1	32	yes	—
1126	C₂×#104	C₂⁵	1	32	yes	—
1127	C₂×#104	C₂⁵	1	32	yes	—
1128	#419	C₂⁵	1	16	yes	—
1129	#419	C₂⁵	1	16	yes	—
1130	#419	C₂⁵	1	16	yes	—
1131	#419	C₂⁵	1	16	yes	—
1132	#418	C₂⁵	1	32	yes	—
1133	#418	C₂⁵	1	16	yes	—
1134	#418	C₂⁵	1	16	yes	—
1135	#418	C₂⁵	1	32	yes	—
1136	#418	C₂⁵	1	32	yes	—
1137	#418	C₂⁵	1	16	yes	—
1138	#418	C₂⁵	1	32	yes	—
1139	#418	C₂⁵	1	16	yes	—
1140	#413	C₂⁵	1	32	yes	—
1141	#413	C₂⁵	1	32	yes	—
1142	#413	C₂⁵	1	32	yes	—
1143	C₂×#101	C₂⁵	1	8	yes	—
1144	C₂×#101	C₂⁵	1	8	yes	—
1145	C₂×#101	C₂⁵	1	16	yes	—
1146	C₂×#100	C₂⁵	1	16	yes	—
1147	C₂×#100	C₂⁵	1	8	yes	—
1148	C₂×#100	C₂⁵	1	16	yes	—
1149	C₂×#100	C₂⁵	1	8	yes	—
1150	C₂×#100	C₂⁵	1	32	yes	—
1151	C₂×#100	C₂⁵	1	16	yes	—
1152	#410	C₂⁵	1	32	yes	—
1153	#410	C₂⁵	1	32	yes	—
1154	#410	C₂⁵	1	32	yes	—
1155	#407	C₂⁵	1	16	yes	—
1156	#407	C₂⁵	1	16	yes	—
1157	#407	C₂⁵	1	16	yes	—
1158	#407	C₂⁵	1	16	yes	—
1159	#407	C₂⁵	1	16	yes	—
1160	#407	C₂⁵	1	16	yes	—
1161	#405	C₂²×D₄	1	64	yes	complemented
1162	C₄×M₁₆	C₂²×D₄	1	16	yes	complemented
1163	C₄×M₁₆	C₂⁵	1	16	yes	—
1164	C₄×M₁₆	C₂⁵	1	16	yes	—
1165	C₂×#97	C₂²×D₄	1	8	yes	complemented
1166	C₂×C₄×C₈	C₂²×D₄	1	8	yes	complemented
1167	#344	C₂⁵	1	32	yes	—
1168	#344	C₂⁵	1	32	yes	—
1169	#344	C₂⁵	1	32	yes	—
1170	#344	C₂⁵	1	32	yes	—
1171	#344	C₂⁵	1	32	yes	—
1172	#344	C₂⁵	1	32	yes	—
1173	#339	C₂⁵	1	32	yes	—
1174	#339	C₂⁵	1	32	yes	—
1175	#339	C₂⁵	1	32	yes	—
1176	#339	C₂⁵	1	32	yes	—
1177	#338	C₂⁵	1	32	yes	—
1178	H(3,ℤ/4)	C₂⁵	1	32	yes	—
1179	H(3,ℤ/4)	C₂⁵	1	32	yes	—
1180	H(3,ℤ/4)	C₂⁵	1	32	yes	—
1181	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1182	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1183	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
1184	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1185	C₂×#41	C₂³×D₄	1	8	yes	—
1186	C₂×#41	C₂³×D₄	1	16	yes	—
1187	C₂×#41	C₂³×D₄	1	16	yes	—
1188	C₂×#41	C₂×H(5,𝔽₂)	1	16	yes	—
1189	C₂×#41	C₂×H(5,𝔽₂)	1	16	yes	—
1190	C₂×#41	C₂×H(5,𝔽₂)	1	8	yes	—
1191	C₂×#41	C₂×H(5,𝔽₂)	1	8	yes	—
1192	C₂×#41	C₂⁶	1	8	yes	—
1193	C₂×#41	C₂⁶	1	8	yes	—
1194	C₂×#41	C₂⁶	1	8	yes	—
1195	C₂²×Q₈	C₂³×D₄	1	4	yes	—
1196	C₂²×Q₈	C₂³×D₄	1	8	yes	—
1197	C₂²×Q₈	C₂³×D₄	1	2	yes	—
1198	C₂²×Q₈	C₂³×D₄	1	2	yes	—
1199	C₂²×Q₈	C₂×H(5,𝔽₂)	1	4	yes	—
1200	C₂²×Q₈	C₂×H(5,𝔽₂)	1	8	yes	—
1201	C₂²×Q₈	C₂×H(5,𝔽₂)	1	4	yes	—
1202	C₂²×Q₈	C₂×H(5,𝔽₂)	1	8	yes	—
1203	C₂²×Q₈	C₂⁶	1	2	yes	—
1204	C₂²×Q₈	C₂⁶	1	2	yes	—
1205	C₂²×D₄	C₂³×D₄	1	4	yes	—
1206	C₂²×D₄	C₂³×D₄	1	8	yes	—
1207	C₂²×D₄	C₂³×D₄	1	4	yes	—
1208	C₂²×D₄	C₂³×D₄	1	4	yes	—
1209	C₂²×D₄	C₂³×D₄	1	2	yes	—
1210	C₂²×D₄	C₂³×D₄	1	2	yes	—
1211	C₂²×D₄	C₂³×D₄	1	16	yes	—
1212	C₂²×D₄	C₂×H(5,𝔽₂)	1	4	yes	—
1213	C₂²×D₄	C₂×H(5,𝔽₂)	1	4	yes	—
1214	C₂²×D₄	C₂×H(5,𝔽₂)	1	8	yes	—
1215	C₂²×D₄	C₂×H(5,𝔽₂)	1	8	yes	—
1216	C₂²×D₄	C₂⁶	1	4	yes	—
1217	C₂²×D₄	C₂⁶	1	2	yes	—
1218	C₂²×D₄	C₂⁶	1	4	yes	—
1219	C₂²×D₄	C₂⁶	1	2	yes	—
1220	C₂³×C₄	C₂³×D₄	1	2	yes	—
1221	C₂³×C₄	C₂³×D₄	1	2	yes	—
1222	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1223	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1224	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1225	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1226	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1227	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1228	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1229	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1230	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1231	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1232	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1233	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1234	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1235	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1236	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1237	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1238	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1239	C₂³×C₄	C₂⁶	1	2	yes	—
1240	C₂³×C₄	C₂⁶	1	2	yes	—
1241	C₂³×C₄	C₂⁶	1	2	yes	—
1242	C₂³×C₄	C₂⁶	1	1	yes	characteristic
1243	C₂×Q₁₆	C₂³×D₄	1	32	yes	complemented
1244	C₂×SD₁₆	C₂³×D₄	1	64	yes	—
1245	C₂×SD₁₆	C₂³×D₄	1	32	yes	complemented
1246	C₂×SD₁₆	C₂³×D₄	1	32	yes	complemented
1247	C₂×D₈	C₂³×D₄	1	64	yes	—
1248	C₂×D₈	C₂³×D₄	1	32	yes	complemented
1249	C₂×M₁₆	C₂³×D₄	1	8	yes	—
1250	C₂×M₁₆	C₂³×D₄	1	16	yes	—
1251	C₂×M₁₆	C₂⁶	1	8	yes	—
1252	C₂×M₁₆	C₂⁶	1	8	yes	—
1253	C₂×M₁₆	C₂⁶	1	8	yes	—
1254	C₂×M₁₆	C₂⁶	1	8	yes	—
1255	C₂×M₁₆	C₂⁶	1	8	yes	—
1256	C₂×M₁₆	C₂⁶	1	8	yes	—
1257	C₂²×C₈	C₂³×D₄	1	8	yes	—
1258	C₂²×C₈	C₂³×D₄	1	16	yes	—
1259	C₄⋊Q₈	C₂³×D₄	1	16	yes	complemented
1260	#127	C₂³×D₄	1	32	yes	—
1261	#127	C₂³×D₄	1	16	yes	complemented
1262	#124	C₂³×D₄	1	32	yes	—
1263	#124	C₂³×D₄	1	32	yes	complemented
1264	#117	C₂³×D₄	1	16	yes	—
1265	#117	C₂×H(5,𝔽₂)	1	16	yes	—
1266	#117	C₂⁶	1	8	yes	—
1267	#117	C₂⁶	1	8	yes	—
1268	#117	C₂⁶	1	8	yes	—
1269	C₂×C₄²	C₂³×D₄	1	4	yes	—
1270	C₂×C₄²	C₂³×D₄	1	4	yes	—
1271	C₂×C₄²	C₂×H(5,𝔽₂)	1	4	yes	—
1272	C₂×C₄²	C₂×H(5,𝔽₂)	1	4	yes	—
1273	C₂×C₄²	C₂⁶	1	4	yes	—
1274	C₂×C₄²	C₂⁶	1	4	yes	—
1275	#97	C₂³×D₄	1	32	yes	complemented
1276	C₄×C₈	C₂³×D₄	1	32	yes	complemented
1277	C₂⁴	#3484	1	2	yes	—
1278	C₂⁴	#3484	1	2	yes	—
1279	C₂⁴	#3532	1	1	yes	characteristic
1280	C₂⁴	#3532	1	2	yes	—
1281	C₂⁴	#3532	1	1	yes	characteristic
1282	C₂⁴	#3532	1	2	yes	—
1283	C₂⁴	#3532	1	2	yes	—
1284	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
1285	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
1286	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1287	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
1288	C₂×Q₈	C₂⁴×D₄	1	4	yes	—
1289	C₂×Q₈	C₂⁴×D₄	1	8	yes	—
1290	C₂×Q₈	C₂²×H(5,𝔽₂)	1	8	yes	—
1291	C₂×Q₈	C₂²×H(5,𝔽₂)	1	8	yes	—
1292	C₂×D₄	C₂⁴×D₄	1	8	yes	—
1293	C₂×D₄	C₂⁴×D₄	1	4	yes	—
1294	C₂×D₄	C₂⁴×D₄	1	8	yes	—
1295	C₂×D₄	C₂²×H(5,𝔽₂)	1	8	yes	—
1296	C₂×D₄	C₂²×H(5,𝔽₂)	1	8	yes	—
1297	C₂²×C₄	#3484	1	2	yes	—
1298	C₂²×C₄	#3484	1	4	yes	—
1299	C₂²×C₄	#3484	1	2	yes	—
1300	C₂²×C₄	#3484	1	4	yes	—
1301	C₂²×C₄	#3484	1	2	yes	—
1302	C₂²×C₄	#3484	1	2	yes	—
1303	C₂²×C₄	#3484	1	4	yes	—
1304	C₂²×C₄	#3484	1	2	yes	—
1305	C₂²×C₄	#3484	1	2	yes	—
1306	C₂²×C₄	#3484	1	4	yes	—
1307	C₂²×C₄	#3484	1	4	yes	—
1308	C₂²×C₄	#3484	1	4	yes	—
1309	C₂²×C₄	#3484	1	4	yes	—
1310	C₂²×C₄	#3484	1	4	yes	—
1311	C₂²×C₄	#3532	1	1	yes	characteristic
1312	C₂²×C₄	#3532	1	2	yes	—
1313	C₂²×C₄	#3532	1	4	yes	—
1314	C₂²×C₄	#3532	1	4	yes	—
1315	C₂²×C₄	#3532	1	1	yes	characteristic
1316	C₂²×C₄	#3532	1	4	yes	—
1317	C₂²×C₄	#3532	1	2	yes	—
1318	C₂²×C₄	#3532	1	2	yes	—
1319	C₂²×C₄	#3532	1	4	yes	—
1320	C₂²×C₄	#3537	1	2	yes	—
1321	C₂²×C₄	#3537	1	2	yes	—
1322	C₂²×C₄	#3537	1	2	yes	—
1323	C₂²×C₄	#3537	1	4	yes	—
1324	C₂²×C₄	#3537	1	4	yes	—
1325	C₂²×C₄	#3537	1	2	yes	—
1326	C₂²×C₄	#3537	1	4	yes	—
1327	C₂²×C₄	#3537	1	4	yes	—
1328	C₂²×C₄	#3537	1	4	yes	—
1329	C₂²×C₄	#3537	1	4	yes	—
1330	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1331	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1332	C₂²×C₄	C₂⁴×D₄	1	4	yes	—
1333	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1334	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1335	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1336	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1337	C₂²×C₄	C₂²×H(5,𝔽₂)	1	4	yes	—
1338	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1339	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1340	C₂²×C₄	C₂²×H(5,𝔽₂)	1	4	yes	—
1341	C₂²×C₄	C₂²×H(5,𝔽₂)	1	4	yes	—
1342	C₂²×C₄	C₂²×H(5,𝔽₂)	1	4	yes	—
1343	C₂²×C₄	C₂²×H(5,𝔽₂)	1	4	yes	—
1344	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1345	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1346	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1347	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1348	C₂²×C₄	C₂⁷	1	1	yes	characteristic
1349	C₂×C₈	C₂⁴×D₄	1	16	yes	—
1350	C₄²	C₂⁴×D₄	1	8	yes	—
1351	C₄²	C₂²×H(5,𝔽₂)	1	8	yes	—
1352	C₂³	#52004	1	2	yes	—
1353	C₂³	#52004	1	2	yes	—
1354	C₂³	#52004	1	2	yes	—
1355	C₂³	#52004	1	4	yes	—
1356	C₂³	#52004	1	4	yes	—
1357	C₂³	#52004	1	2	yes	—
1358	C₂³	C₂×#3532	1	1	yes	characteristic
1359	C₂³	C₂×#3532	1	1	yes	characteristic
1360	C₂³	C₂×#3532	1	1	yes	characteristic
1361	C₂³	C₂×#3532	1	1	yes	characteristic
1362	C₂³	C₂×#3532	1	2	yes	—
1363	C₂³	C₂×#3532	1	4	yes	—
1364	C₂³	C₂×#3532	1	2	yes	—
1365	C₂³	C₂×#3484	1	1	yes	characteristic
1366	C₂³	C₂×#3484	1	4	yes	—
1367	C₂³	C₂×#3484	1	1	yes	characteristic
1368	C₂³	C₂³×H(5,𝔽₂)	1	1	yes	characteristic
1369	C₂×C₄	#52004	1	2	yes	—
1370	C₂×C₄	#52004	1	4	yes	—
1371	C₂×C₄	#52004	1	4	yes	—
1372	C₂×C₄	#52004	1	4	yes	—
1373	C₂×C₄	#52004	1	4	yes	—
1374	C₂×C₄	#52004	1	4	yes	—
1375	C₂×C₄	#52004	1	4	yes	—
1376	C₂×C₄	#52004	1	2	yes	—
1377	C₂×C₄	#52004	1	4	yes	—
1378	C₂×C₄	#52004	1	4	yes	—
1379	C₂×C₄	#52004	1	4	yes	—
1380	C₂×C₄	#52004	1	4	yes	—
1381	C₂×C₄	#52004	1	2	yes	—
1382	C₂×C₄	#52004	1	2	yes	—
1383	C₂×C₄	C₂×#3532	1	2	yes	—
1384	C₂×C₄	C₂×#3532	1	4	yes	—
1385	C₂×C₄	C₂×#3532	1	2	yes	—
1386	C₂×C₄	C₂×#3532	1	2	yes	—
1387	C₂×C₄	C₂×#3532	1	2	yes	—
1388	C₂×C₄	C₂×#3537	1	4	yes	—
1389	C₂×C₄	C₂×#3537	1	4	yes	—
1390	C₂×C₄	C₂×#3537	1	4	yes	—
1391	C₂×C₄	C₂×#3537	1	2	yes	—
1392	C₂×C₄	C₂×#3537	1	2	yes	—
1393	C₂×C₄	C₂×#3537	1	4	yes	—
1394	C₂×C₄	C₂×#3537	1	2	yes	—
1395	C₂×C₄	C₂×#3537	1	2	yes	—
1396	C₂×C₄	C₂×#3484	1	4	yes	—
1397	C₂×C₄	C₂×#3484	1	4	yes	—
1398	C₂×C₄	C₂×#3484	1	2	yes	—
1399	C₂×C₄	C₂×#3484	1	4	yes	—
1400	C₂×C₄	C₂×#3484	1	4	yes	—
1401	C₂×C₄	C₂×#3484	1	2	yes	—
1402	C₂×C₄	C₂×#3484	1	2	yes	—
1403	C₂×C₄	C₂×#3484	1	2	yes	—
1404	C₂×C₄	C₂×#3484	1	1	yes	characteristic
1405	C₂×C₄	C₂×#3484	1	1	yes	characteristic
1406	C₂×C₄	C₂×#3484	1	4	yes	—
1407	C₂×C₄	C₂⁵×D₄	1	1	yes	characteristic
1408	C₂×C₄	C₂³×H(5,𝔽₂)	1	1	yes	characteristic
1409	C₂×C₄	C₂³×H(5,𝔽₂)	1	2	yes	—
1410	C₂×C₄	C₂³×H(5,𝔽₂)	1	2	yes	—
1411	C₂²	C₂×#52004	1	4	yes	—
1412	C₂²	C₂×#52004	1	1	yes	characteristic
1413	C₂²	C₂×#52004	1	1	yes	characteristic
1414	C₂²	C₂×#52004	1	1	yes	characteristic
1415	C₂²	C₂×#52004	1	4	yes	—
1416	C₂²	C₂×#52004	1	1	yes	characteristic
1417	C₂²	C₂²×#3484	1	1	yes	characteristic
1418	C₂²	C₂²×#3532	1	1	yes	characteristic
1419	C₂²	C₂²×#3532	1	1	yes	characteristic
1420	C₄	C₂×#52004	1	4	yes	—
1421	C₄	C₂×#52004	1	2	yes	—
1422	C₄	C₂×#52004	1	4	yes	—
1423	C₄	C₂×#52004	1	2	yes	—
1424	C₄	C₂²×#3484	1	2	yes	—
1425	C₄	C₂²×#3537	1	2	yes	—
1426	C₂	#72215721	1	2	yes	direct product factor
1427	C₂	C₂²×#52004	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂×#52004
commutator, Frattini, cosocle	C₂²×C₄	C₂⁷
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁴×C₄ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#7500747	C₂	semidirect
2. C₂×#6461519	C₂	semidirect
3. C₂×#7487873	C₂	semidirect
4. C₂×#7504669	C₂	semidirect
5. C₂×#6437950	C₂	semidirect
6. C₂×#7504667	C₂	semidirect
7. C₂×#7500919	C₂	semidirect
8. C₂×#6437952	C₂	semidirect
9. C₂×#7487868	C₂	semidirect
10. C₂×#7487871	C₂	semidirect
11. C₂×#10576178	C₂	semidirect
12. C₂×#7504294	C₂	semidirect
13. C₂×#6407636	C₂	semidirect
14. C₂×#7487865	C₂	semidirect
15. C₂×#7504292	C₂	semidirect
16. C₂×#6451776	C₂	semidirect
17. C₂²×#30434	C₂	semidirect
18. C₂×#6437575	C₂	semidirect
19. C₂×#6437445	C₂	semidirect
20. C₂×#6437449	C₂	semidirect
21. C₂²×#23882	C₂	semidirect
22. C₂×#10575547	C₂	semidirect
23. C₂×#6434130	C₂	semidirect
24. #72215721	C₂	direct (N × H)
25. C₂×#63090	C₂²	semidirect
26. C₂²×#3585	C₂²	semidirect
27. C₂×#62814	C₂²	semidirect
28. C₂×#62811	C₂²	semidirect
29. C₂²×#3484	C₂²	semidirect
30. C₂³×#535	C₂²	semidirect
31. #10576178	C₂²	semidirect
32. C₂×#61110	C₂²	semidirect
33. C₂×#61109	C₂²	semidirect
34. #10575547	C₂²	semidirect
35. C₂×#60806	C₂²	semidirect
36. C₂×#60806	C₂²	semidirect
37. C₂×#60799	C₂²	semidirect
38. C₂×#60798	C₂²	semidirect
40. C₂×#60644	C₂²	semidirect
41. C₂×#60619	C₂²	semidirect
42. C₂×#60619	C₂²	semidirect
43. C₂×#60426	C₂²	semidirect
44. C₂×#60426	C₂²	semidirect
45. C₂×#60469	C₂²	semidirect
46. C₂×#60469	C₂²	semidirect
47. C₂²×#3068	C₂²	semidirect
48. C₂²×#3068	C₂²	semidirect
49. C₂²×#3025	C₂²	semidirect
50. C₂×#60387	C₂²	semidirect
51. C₂×#60387	C₂²	semidirect
52. C₂×#60359	C₂²	semidirect
53. C₂×#60359	C₂²	semidirect
55. C₂²×#3021	C₂²	semidirect
56. C₂²×#3021	C₂²	semidirect
58. C₂²×#3019	C₂²	semidirect
59. C₂²×#3003	C₂²	semidirect
60. C₂²×#3003	C₂²	semidirect
61. C₂×#60182	C₂²	semidirect
62. C₂×#60124	C₂²	semidirect
63. C₂×#60093	C₂²	semidirect
64. #7504669	C₂²	semidirect
65. #7504667	C₂²	semidirect
66. C₂×#31417	C₂²	semidirect
67. C₂×#31415	C₂²	semidirect
68. C₂×#31414	C₂²	semidirect
69. C₂×#31414	C₂²	semidirect
70. #7504294	C₂²	semidirect
71. #7504292	C₂²	semidirect
72. C₂×#31283	C₂²	semidirect
73. C₂×#31284	C₂²	semidirect
74. C₂×#31282	C₂²	semidirect
75. C₂×#31282	C₂²	semidirect
76. #7500919	C₂²	semidirect
77. C₂×#30498	C₂²	semidirect
78. C₂×#30496	C₂²	semidirect
79. #7500747	C₂²	semidirect
80. C₂×#30435	C₂²	semidirect
81. C₂×#30436	C₂²	semidirect
82. C₂×#30436	C₂²	semidirect
83. C₂×#30434	C₂²	semidirect
84. C₂×#30434	C₂²	semidirect
85. C₂×#30434	C₂²	semidirect
86. C₂×#30434	C₂²	semidirect
87. #7487873	C₂²	semidirect
88. #7487871	C₂²	semidirect
89. #7487868	C₂²	semidirect
90. #7487865	C₂²	semidirect
91. #6461519	C₂²	semidirect
92. C₂×#29385	C₂²	semidirect
93. C₂×#29384	C₂²	semidirect
94. #6451776	C₂²	semidirect
95. C₂×#23995	C₂²	semidirect
96. C₂×#23994	C₂²	semidirect
97. #6437952	C₂²	semidirect
98. #6437950	C₂²	semidirect
99. C₂×#24473	C₂²	semidirect
100. C₂×#24475	C₂²	semidirect
101. C₂×#24472	C₂²	semidirect
102. C₂×#24472	C₂²	semidirect
103. #6437575	C₂²	semidirect
104. C₂×#23885	C₂²	semidirect
105. C₂×#23884	C₂²	semidirect
106. C₂×#23883	C₂²	semidirect
107. C₂×#23882	C₂²	semidirect
108. C₂×#23882	C₂²	semidirect
109. C₂×#23882	C₂²	semidirect
110. C₂×#23882	C₂²	semidirect
111. #6437449	C₂²	semidirect
112. #6437445	C₂²	semidirect
113. C₂×#23913	C₂²	semidirect
114. C₂×#23915	C₂²	semidirect
115. C₂×#23912	C₂²	semidirect
116. C₂×#23912	C₂²	semidirect
117. C₂×#23910	C₂²	semidirect
118. C₂×#23907	C₂²	semidirect
119. C₂×#23906	C₂²	semidirect
120. C₂×#23906	C₂²	semidirect
121. #6434130	C₂²	semidirect
122. C₂×#30057	C₂²	semidirect
123. C₂×#30056	C₂²	semidirect
124. C₂×#23751	C₂²	semidirect
125. C₂²×#2091	C₂²	semidirect
126. C₂×#23652	C₂²	semidirect
127. C₂×#23652	C₂²	semidirect
128. C₂²×#2081	C₂²	semidirect
129. C₂²×#2081	C₂²	semidirect
130. C₂×#23527	C₂²	semidirect
131. C₂×#23525	C₂²	semidirect
132. C₂×#23525	C₂²	semidirect
133. C₂²×#2048	C₂²	semidirect
134. C₂²×#2048	C₂²	semidirect
135. C₂×#23472	C₂²	semidirect
136. C₂×#23472	C₂²	semidirect
138. C₂²×#2010	C₂²	semidirect
139. C₂²×#2010	C₂²	semidirect
140. C₂×#23412	C₂²	semidirect
141. C₂×#23412	C₂²	semidirect
142. C₂²×#2008	C₂²	semidirect
143. C₂²×#2008	C₂²	semidirect
144. C₂×#23400	C₂²	semidirect
145. C₂×#23400	C₂²	semidirect
146. C₂×#23402	C₂²	semidirect
147. C₂×#23402	C₂²	semidirect
148. #6407636	C₂²	semidirect
149. C₂×#23362	C₂²	semidirect
150. C₂×#23361	C₂²	semidirect
151. C₂×#21080	C₂²	semidirect
152. C₂×#21080	C₂²	semidirect
153. C₂×#21009	C₂²	semidirect
154. C₂²×#1910	C₂²	semidirect
155. C₂×#21000	C₂²	semidirect
156. C₂×#21000	C₂²	semidirect
157. C₂×#20998	C₂²	semidirect
158. C₂×#20998	C₂²	semidirect
159. C₂²×#1904	C₂²	semidirect
160. C₂²×#1904	C₂²	semidirect
161. C₂×#20995	C₂²	semidirect
162. C₂×#20995	C₂²	semidirect
163. C₂²×#1903	C₂²	semidirect
164. C₂²×#1903	C₂²	semidirect
165. C₂×#20979	C₂²	semidirect
166. C₂×#20979	C₂²	semidirect
167. C₂²×#1891	C₂²	semidirect
168. C₂²×#1891	C₂²	semidirect
169. C₂²×#1891	C₂²	semidirect
170. C₂×#20956	C₂²	semidirect
171. C₂×#20956	C₂²	semidirect
172. C₂×#20953	C₂²	semidirect
173. C₂×#20953	C₂²	semidirect
174. C₂×#20947	C₂²	semidirect
175. C₂×#20867	C₂²	semidirect
176. C₂×#20867	C₂²	semidirect
177. C₂×#20776	C₂²	semidirect
178. C₂×#20708	C₂²	semidirect
179. C₂×#20623	C₂²	semidirect
180. C₂²×#1795	C₂²	semidirect
181. C₂×#20591	C₂²	semidirect
182. C₂²×#1783	C₂²	semidirect
188. #63090	C₂³	semidirect
189. C₂×#3586	C₂³	semidirect
191. C₂×#3585	C₂³	semidirect
192. C₂×#3585	C₂³	semidirect
207. #62814	C₂³	semidirect
208. #62811	C₂³	semidirect
209. C₂×#3487	C₂³	semidirect
210. C₂×#3486	C₂³	semidirect
211. C₂×#3485	C₂³	semidirect
214. C₂×#3484	C₂³	semidirect
215. C₂×#3484	C₂³	semidirect
216. C₂×#3455	C₂³	semidirect
225. C₂²×#535	C₂³	semidirect
226. C₂²×#535	C₂³	semidirect
227. C₂²×#535	C₂³	semidirect
228. C₂×#3444	C₂³	semidirect
229. C₂³×#127	C₂³	semidirect
230. C₂³×#124	C₂³	semidirect
238. #61110	C₂³	semidirect
239. #61109	C₂³	semidirect
240. #60806	C₂³	semidirect
241. #60806	C₂³	semidirect
242. #60799	C₂³	semidirect
243. #60798	C₂³	semidirect
244. #60644	D₄	semidirect
246. #60644	C₂³	semidirect
247. C₂×#3155	D₄	semidirect
248. C₂×#3154	D₄	semidirect
250. C₂×#3153	C₂³	semidirect
252. C₂×#3151	C₂³	semidirect
253. #60619	C₂³	semidirect
254. #60619	C₂³	semidirect
255. C₂×#3140	C₂³	semidirect
256. C₂×#3140	C₂³	semidirect
257. C₂×#3138	C₂³	semidirect
258. C₂×#3138	C₂³	semidirect
259. #60469	C₂³	semidirect
260. #60469	C₂³	semidirect
261. C₂×#3069	C₂³	semidirect
262. C₂×#3069	C₂³	semidirect
264. C₂×#3068	C₂³	semidirect
265. C₂×#3068	C₂³	semidirect
266. C₂×#3068	C₂³	semidirect
267. C₂×#3068	C₂³	semidirect
268. C₂×#3068	C₂³	semidirect
269. #60426	C₂³	semidirect
270. #60426	C₂³	semidirect
271. C₂×#3040	C₂³	semidirect
272. C₂×#3040	C₂³	semidirect
273. C₂×#3038	C₂³	semidirect
274. C₂×#3038	C₂³	semidirect
275. C₂×#3025	C₂³	semidirect
276. C₂×#3025	C₂³	semidirect
277. C₂×#3025	C₂³	semidirect
278. #60387	C₂³	semidirect
279. #60387	C₂³	semidirect
280. C₂×#3022	C₂³	semidirect
282. C₂×#3021	C₂³	semidirect
283. C₂×#3021	C₂³	semidirect
284. C₂×#3021	C₂³	semidirect
285. C₂×#3021	C₂³	semidirect
287. C₂×#3019	C₂³	semidirect
288. C₂×#3018	C₂³	semidirect
290. C₂²×#454	C₂³	semidirect
296. C₂²×#453	C₂³	semidirect
297. #60359	C₂³	semidirect
298. #60359	C₂³	semidirect
299. C₂×#3005	C₂³	semidirect
300. C₂×#3005	C₂³	semidirect
301. C₂×#3005	C₂³	semidirect
302. C₂×#3005	C₂³	semidirect
303. C₂×#3004	C₂³	semidirect
304. C₂×#3004	C₂³	semidirect
305. C₂×#3003	C₂³	semidirect
306. C₂×#3003	C₂³	semidirect
307. C₂×#3003	C₂³	semidirect
308. C₂×#3003	C₂³	semidirect
309. C₂×#3003	C₂³	semidirect
310. C₂×#3003	C₂³	semidirect
311. C₂×#3003	C₂³	semidirect
312. C₂×#3003	C₂³	semidirect
313. #60182	C₂³	semidirect
314. C₂×#2956	C₂³	semidirect
315. #60124	C₂³	semidirect
316. C₂×#2921	C₂³	semidirect
317. C₂×#2920	C₂³	semidirect
322. #60093	C₂³	semidirect
323. C₂×#2901	C₂³	semidirect
359. #31417	C₂³	semidirect
360. #31415	C₂³	semidirect
361. #31414	C₂³	semidirect
362. #31414	C₂³	semidirect
363. #31284	C₂³	semidirect
364. #31283	C₂³	semidirect
365. #31282	C₂³	semidirect
366. #31282	C₂³	semidirect
367. #30498	C₂³	semidirect
368. #30496	C₂³	semidirect
369. #30436	C₂³	semidirect
370. #30436	C₂³	semidirect
371. #30435	C₂³	semidirect
372. #30434	C₂³	semidirect
373. #30434	C₂³	semidirect
374. #30434	C₂³	semidirect
375. #30057	C₂³	semidirect
376. #30056	C₂³	semidirect
377. #29385	C₂³	semidirect
378. #29384	C₂³	semidirect
379. #24475	C₂³	semidirect
380. #24473	C₂³	semidirect
381. #24472	C₂³	semidirect
382. #24472	C₂³	semidirect
383. #23995	C₂³	semidirect
384. #23994	C₂³	semidirect
385. #23915	C₂³	semidirect
386. #23913	C₂³	semidirect
387. #23912	C₂³	semidirect
388. #23912	C₂³	semidirect
389. #23910	C₂³	semidirect
390. #23907	C₂³	semidirect
391. #23906	C₂³	semidirect
392. #23906	C₂³	semidirect
393. #23885	C₂³	semidirect
394. #23884	C₂³	semidirect
395. #23883	C₂³	semidirect
396. #23882	C₂³	semidirect
397. #23882	C₂³	semidirect
398. #23882	C₂³	semidirect
399. #23751	C₂³	semidirect
400. C₂×#2102	C₂³	semidirect
401. C₂×#2091	C₂³	semidirect
402. C₂×#2091	C₂³	semidirect
403. C₂×#2091	C₂³	semidirect
404. #23652	C₂³	semidirect
405. #23652	C₂³	semidirect
406. C₂×#2082	C₂³	semidirect
407. C₂×#2082	C₂³	semidirect
408. C₂×#2081	C₂³	semidirect
409. C₂×#2081	C₂³	semidirect
410. C₂×#2081	C₂³	semidirect
411. C₂×#2081	C₂³	semidirect
412. C₂×#2081	C₂³	semidirect
413. C₂×#2081	C₂³	semidirect
414. #23527	C₂³	semidirect
415. C₂×#2050	C₂³	semidirect
416. #23525	C₂³	semidirect
417. #23525	C₂³	semidirect
418. C₂×#2049	C₂³	semidirect
419. C₂×#2049	C₂³	semidirect
420. C₂×#2048	C₂³	semidirect
421. C₂×#2048	C₂³	semidirect
422. C₂×#2048	C₂³	semidirect
423. C₂×#2048	C₂³	semidirect
424. C₂×#2048	C₂³	semidirect
425. C₂×#2048	C₂³	semidirect
426. #23472	C₂³	semidirect
427. #23472	C₂³	semidirect
428. C₂×#2031	C₂³	semidirect
429. C₂×#2031	C₂³	semidirect
435. C₂×#2010	C₂³	semidirect
436. C₂×#2010	C₂³	semidirect
437. C₂×#2010	C₂³	semidirect
438. C₂×#2010	C₂³	semidirect
439. #23412	C₂³	semidirect
440. #23412	C₂³	semidirect
441. C₂×#2009	C₂³	semidirect
442. C₂×#2009	C₂³	semidirect
445. C₂×#2008	C₂³	semidirect
446. C₂×#2008	C₂³	semidirect
447. C₂×#2008	C₂³	semidirect
448. C₂×#2008	C₂³	semidirect
449. #23402	C₂³	semidirect
450. #23402	C₂³	semidirect
451. #23400	C₂³	semidirect
452. #23400	C₂³	semidirect
453. C₂×#2003	C₂³	semidirect
454. C₂×#2003	C₂³	semidirect
455. C₂×#2004	C₂³	semidirect
456. C₂×#2004	C₂³	semidirect
457. C₂×#2002	C₂³	semidirect
458. C₂×#2002	C₂³	semidirect
459. C₂×#2002	C₂³	semidirect
460. C₂×#2002	C₂³	semidirect
461. #23362	C₂³	semidirect
462. #23361	C₂³	semidirect
463. #21080	C₂³	semidirect
464. #21080	C₂³	semidirect
465. C₂×#1932	C₂³	semidirect
466. C₂×#1932	C₂³	semidirect
467. #21009	C₂³	semidirect
468. C₂×#1910	C₂³	semidirect
469. C₂×#1910	C₂³	semidirect
470. C₂×#1910	C₂³	semidirect
471. C₂×#1909	C₂³	semidirect
472. #21000	C₂³	semidirect
473. #21000	C₂³	semidirect
474. C₂×#1906	C₂³	semidirect
475. C₂×#1906	C₂³	semidirect
476. #20998	C₂³	semidirect
477. #20998	C₂³	semidirect
478. C₂×#1905	C₂³	semidirect
479. C₂×#1905	C₂³	semidirect
480. C₂×#1904	C₂³	semidirect
481. C₂×#1904	C₂³	semidirect
482. C₂×#1904	C₂³	semidirect
483. C₂×#1904	C₂³	semidirect
484. C₂×#1904	C₂³	semidirect
485. C₂×#1904	C₂³	semidirect
486. #20995	C₂³	semidirect
487. #20995	C₂³	semidirect
488. C₂×#1903	C₂³	semidirect
489. C₂×#1903	C₂³	semidirect
490. C₂×#1903	C₂³	semidirect
491. C₂×#1903	C₂³	semidirect
492. C₂×#1903	C₂³	semidirect
493. C₂×#1903	C₂³	semidirect
494. C₂×#1902	C₂³	semidirect
495. C₂×#1902	C₂³	semidirect
496. #20979	C₂³	semidirect
497. #20979	C₂³	semidirect
498. C₂×#1897	C₂³	semidirect
499. C₂×#1897	C₂³	semidirect
500. C₂×#1896	C₂³	semidirect
501. C₂×#1896	C₂³	semidirect
502. C₂×#1891	C₂³	semidirect
503. C₂×#1891	C₂³	semidirect
504. C₂×#1891	C₂³	semidirect
505. C₂×#1891	C₂³	semidirect
506. C₂×#1891	C₂³	semidirect
507. C₂×#1891	C₂³	semidirect
508. C₂×#1891	C₂³	semidirect
509. C₂×#1891	C₂³	semidirect
510. C₂×#1891	C₂³	semidirect
511. #20956	C₂³	semidirect
512. #20956	C₂³	semidirect
513. #20953	C₂³	semidirect
514. #20953	C₂³	semidirect
515. C₂×#1888	C₂³	semidirect
516. C₂×#1888	C₂³	semidirect
517. C₂×#1887	C₂³	semidirect
518. C₂×#1887	C₂³	semidirect
519. C₂×#1887	C₂³	semidirect
520. C₂×#1887	C₂³	semidirect
521. C₂×#1885	C₂³	semidirect
522. C₂×#1885	C₂³	semidirect
523. #20947	C₂³	semidirect
524. C₂×#1884	C₂³	semidirect
525. #20867	C₂³	semidirect
526. #20867	C₂³	semidirect
527. C₂×#1861	C₂³	semidirect
528. C₂×#1861	C₂³	semidirect
529. #20776	C₂³	semidirect
530. C₂×#1841	C₂³	semidirect
531. #20708	C₂³	semidirect
532. C₂×#1827	C₂³	semidirect
533. #20623	C₂³	semidirect
534. C₂×#1796	C₂³	semidirect
536. C₂×#1795	C₂³	semidirect
537. C₂×#1795	C₂³	semidirect
538. #20591	C₂³	semidirect
539. C₂×#1785	C₂³	semidirect
540. C₂×#1785	C₂³	semidirect
541. C₂×#1784	C₂³	semidirect
542. C₂×#1783	C₂³	semidirect
543. C₂×#1783	C₂³	semidirect
544. C₂×#1783	C₂³	semidirect
545. C₂×#1783	C₂³	semidirect
583. #3586	C₂⁴	semidirect
585. #3585	C₂⁴	semidirect
586. C₂×#575	C₂×D₄	semidirect
597. C₂²×#137	C₂×D₄	semidirect
602. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
603. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
604. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
617. C₂²×#135	C₂×D₄	semidirect
618. C₂³×SD₁₆	C₂×D₄	semidirect
619. C₂³×D₈	C₂×D₄	semidirect
632. #3487	C₂⁴	semidirect
633. #3486	C₂⁴	semidirect
634. #3485	C₂⁴	semidirect
637. #3484	C₂⁴	semidirect
639. #3455	C₂⁴	semidirect
640. #3449	C₂×D₄	semidirect
643. C₂×#536	C₂×D₄	semidirect
647. C₂×#535	C₂×D₄	semidirect
655. C₂×#535	C₂⁴	semidirect
656. C₂×#535	C₂⁴	semidirect
657. #3444	C₂⁴	semidirect
664. C₂²×#127	C₂⁴	semidirect
669. C₂²×#124	C₂⁴	semidirect
694. #3155	C₂×D₄	semidirect
695. #3154	C₂×D₄	semidirect
696. #3153	C₂×D₄	semidirect
698. #3153	C₂⁴	semidirect
699. #3151	C₂×D₄	semidirect
701. #3151	C₂⁴	semidirect
702. C₂×#497	C₂×D₄	semidirect
703. C₂×#496	C₂×D₄	semidirect
704. C₂×#496	C₂×D₄	semidirect
705. C₂×#495	C₂×D₄	semidirect
706. C₂×#493	C₂×D₄	semidirect
707. C₂×#492	C₂×D₄	semidirect
708. #3140	C₂⁴	semidirect
709. #3140	C₂⁴	semidirect
710. #3138	C₂⁴	semidirect
711. #3138	C₂⁴	semidirect
712. #3069	C₂⁴	semidirect
713. #3069	C₂⁴	semidirect
715. #3068	C₂⁴	semidirect
716. #3068	C₂⁴	semidirect
717. #3068	C₂⁴	semidirect
718. #3040	C₂⁴	semidirect
719. #3040	C₂⁴	semidirect
720. #3038	C₂⁴	semidirect
721. #3038	C₂⁴	semidirect
722. #3025	C₂⁴	semidirect
723. #3025	C₂⁴	semidirect
724. #3022	C₂⁴	semidirect
725. #3021	C₂⁴	semidirect
726. #3021	C₂⁴	semidirect
727. #3018	C₂⁴	semidirect
729. C₂×#454	C₂⁴	semidirect
735. C₂×#453	C₂⁴	semidirect
736. #3005	C₂⁴	semidirect
737. #3005	C₂⁴	semidirect
738. #3005	C₂⁴	semidirect
739. #3005	C₂⁴	semidirect
740. #3004	C₂⁴	semidirect
741. #3004	C₂⁴	semidirect
742. #3003	C₂⁴	semidirect
743. #3003	C₂⁴	semidirect
744. #3003	C₂⁴	semidirect
745. #3003	C₂⁴	semidirect
746. #3003	C₂⁴	semidirect
747. #3003	C₂⁴	semidirect
748. #2956	C₂⁴	semidirect
749. #2921	C₂⁴	semidirect
750. #2920	C₂⁴	semidirect
759. #2901	C₂⁴	semidirect
836. #2873	C₂×D₄	semidirect
839. C₂×#405	C₂×D₄	semidirect
842. #2102	C₂⁴	semidirect
843. #2091	C₂⁴	semidirect
844. #2091	C₂⁴	semidirect
845. #2082	C₂⁴	semidirect
846. #2082	C₂⁴	semidirect
847. #2081	C₂⁴	semidirect
848. #2081	C₂⁴	semidirect
849. #2081	C₂⁴	semidirect
850. #2081	C₂⁴	semidirect
851. #2050	C₂⁴	semidirect
852. #2049	C₂⁴	semidirect
853. #2049	C₂⁴	semidirect
854. #2048	C₂⁴	semidirect
855. #2048	C₂⁴	semidirect
856. #2048	C₂⁴	semidirect
857. #2048	C₂⁴	semidirect
858. #2031	C₂⁴	semidirect
859. #2031	C₂⁴	semidirect
864. #2010	C₂⁴	semidirect
865. #2010	C₂⁴	semidirect
866. #2009	C₂⁴	semidirect
867. #2009	C₂⁴	semidirect
870. #2008	C₂⁴	semidirect
871. #2008	C₂⁴	semidirect
872. #2004	C₂⁴	semidirect
873. #2004	C₂⁴	semidirect
874. #2003	C₂⁴	semidirect
875. #2003	C₂⁴	semidirect
876. #2002	C₂⁴	semidirect
877. #2002	C₂⁴	semidirect
878. #2002	C₂⁴	semidirect
879. #2002	C₂⁴	semidirect
880. #1932	C₂⁴	semidirect
881. #1932	C₂⁴	semidirect
882. #1910	C₂⁴	semidirect
883. #1910	C₂⁴	semidirect
884. #1909	C₂⁴	semidirect
885. #1906	C₂⁴	semidirect
886. #1906	C₂⁴	semidirect
887. #1905	C₂⁴	semidirect
888. #1905	C₂⁴	semidirect
889. #1904	C₂⁴	semidirect
890. #1904	C₂⁴	semidirect
891. #1904	C₂⁴	semidirect
892. #1904	C₂⁴	semidirect
893. #1903	C₂⁴	semidirect
894. #1903	C₂⁴	semidirect
895. #1903	C₂⁴	semidirect
896. #1903	C₂⁴	semidirect
897. #1902	C₂⁴	semidirect
898. #1902	C₂⁴	semidirect
899. #1897	C₂⁴	semidirect
900. #1897	C₂⁴	semidirect
901. #1896	C₂⁴	semidirect
902. #1896	C₂⁴	semidirect
903. #1891	C₂⁴	semidirect
904. #1891	C₂⁴	semidirect
905. #1891	C₂⁴	semidirect
906. #1891	C₂⁴	semidirect
907. #1891	C₂⁴	semidirect
908. #1891	C₂⁴	semidirect
909. #1888	C₂⁴	semidirect
910. #1888	C₂⁴	semidirect
911. #1887	C₂⁴	semidirect
912. #1887	C₂⁴	semidirect
913. #1887	C₂⁴	semidirect
914. #1887	C₂⁴	semidirect
915. #1885	C₂⁴	semidirect
916. #1885	C₂⁴	semidirect
917. #1884	C₂⁴	semidirect
918. #1861	C₂⁴	semidirect
919. #1861	C₂⁴	semidirect
920. #1841	C₂⁴	semidirect
921. #1827	C₂⁴	semidirect
922. #1796	C₂⁴	semidirect
924. #1795	C₂⁴	semidirect
925. #1785	C₂⁴	semidirect
926. #1785	C₂⁴	semidirect
927. #1784	C₂⁴	semidirect
928. #1783	C₂⁴	semidirect
929. #1783	C₂⁴	semidirect
930. #1783	C₂⁴	semidirect
1013. C₂×#137	C₂²×D₄	semidirect
1014. C₂×#137	C₂²×D₄	semidirect
1020. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
1021. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
1022. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
1031. C₂×#135	C₂²×D₄	semidirect
1032. C₂²×Q₁₆	C₂²×D₄	semidirect
1034. C₂²×SD₁₆	C₂²×D₄	semidirect
1035. C₂²×SD₁₆	C₂²×D₄	semidirect
1036. C₂²×SD₁₆	C₂²×D₄	semidirect
1038. C₂²×D₈	C₂²×D₄	semidirect
1039. C₂²×D₈	C₂²×D₄	semidirect
1058. #536	C₂²×D₄	semidirect
1061. #535	C₂²×D₄	semidirect
1065. #532	C₂²×D₄	semidirect
1067. C₂×C₄⋊Q₈	C₂²×D₄	semidirect
1070. C₂×#127	C₂²×D₄	semidirect
1077. C₂×#124	C₂²×D₄	semidirect
1108. #497	C₂²×D₄	semidirect
1109. #496	C₂²×D₄	semidirect
1110. #496	C₂²×D₄	semidirect
1111. #495	C₂²×D₄	semidirect
1112. #493	C₂²×D₄	semidirect
1113. #492	C₂²×D₄	semidirect
1161. #405	C₂²×D₄	semidirect
1162. C₄×M₁₆	C₂²×D₄	semidirect
1165. C₂×#97	C₂²×D₄	semidirect
1166. C₂×C₄×C₈	C₂²×D₄	semidirect
1243. C₂×Q₁₆	C₂³×D₄	semidirect
1245. C₂×SD₁₆	C₂³×D₄	semidirect
1246. C₂×SD₁₆	C₂³×D₄	semidirect
1248. C₂×D₈	C₂³×D₄	semidirect
1259. C₄⋊Q₈	C₂³×D₄	semidirect
1261. #127	C₂³×D₄	semidirect
1263. #124	C₂³×D₄	semidirect
1275. #97	C₂³×D₄	semidirect
1276. C₄×C₈	C₂³×D₄	semidirect
1426. C₂	#72215721	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×#7500747	2
C₂×#6461519	2
C₂×#7487873	2
C₂×#7504669	2
C₂×#6437950	2
C₂×#7504667	2
C₂×#7500919	2
C₂×#6437952	2
C₂×#7487868	2
C₂×#7487871	2
C₂×#10576178	2
C₂×#7504294	2
C₂×#6407636	2
C₂×#7487865	2
C₂×#7504292	2
C₂×#6451776	2
C₂²×#30434	2
C₂×#6437575	2
C₂×#6437445	2
C₂×#6437449	2
C₂²×#23882	2
C₂×#10575547	2
C₂×#6434130	2
#72215721	2

Subgroups — C2×#72215721 #72251415

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#72215721 #72251415