Subgroups — C₂×#72213409 #72251329

Order 2048.

At least 7262 conjugacy classes of subgroups; only the 8200 normal subgroups are shown.

The subgroup lattice has 1031 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×#383149	C₂	1	2	yes	maximal, complemented
2	C₂×#383755	C₂	1	2	yes	maximal, complemented
3	C₂×#387441	C₂	1	2	yes	maximal, complemented
4	C₂×#363903	C₂	1	2	yes	maximal, complemented
5	C₂×#368855	C₂	1	2	yes	maximal, complemented
6	C₂×#364596	C₂	1	2	yes	maximal, complemented
7	C₂×#363996	C₂	1	2	yes	maximal, complemented
8	C₂×#386041	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#383753	C₂	1	2	yes	maximal, complemented
10	C₂×#391879	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#386039	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#368857	C₂	1	2	yes	maximal, complemented
13	C₂×#383145	C₂	1	2	yes	maximal, complemented
14	C₂×#364592	C₂	1	2	yes	maximal, complemented
15	C₂×#359513	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#359509	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#10575547	C₂	1	1	yes	maximal, characteristic
18	C₂×#6376470	C₂	1	2	yes	maximal, complemented
19	C₂×#375718	C₂	1	1	yes	maximal, characteristic, complemented
20	#72213409	C₂	1	32	yes	maximal, direct product factor
21	C₂×#62814	C₂²	1	1	yes	characteristic
22	C₂³×#535	C₂²	1	1	yes	characteristic
23	#10575547	C₄	1	16	yes	complemented
24	#10575547	C₂²	1	16	yes	—
25	C₂×#60806	C₄	1	4	yes	complemented
26	C₂×#60806	C₄	1	4	yes	complemented
27	C₂×#60799	C₄	1	4	yes	complemented
28	C₂×#60798	C₄	1	4	yes	complemented
29	C₂×#60644	C₂²	1	1	yes	characteristic
30	C₂×#60644	C₂²	1	1	yes	characteristic
31	C₂×#60619	C₂²	1	1	yes	characteristic
32	C₂×#60619	C₂²	1	1	yes	characteristic
33	C₂×#60426	C₂²	1	2	yes	—
34	C₂×#60426	C₂²	1	2	yes	—
35	C₂×#60359	C₂²	1	2	yes	—
36	C₂²×#3003	C₂²	1	2	yes	—
37	C₂×#60182	C₂²	1	2	yes	complemented
38	C₂×#60168	C₂²	1	2	yes	complemented
39	C₂×#60124	C₂²	1	1	yes	characteristic
40	C₂×#60064	C₂²	1	1	yes	characteristic
41	C₂×#34171	C₂²	1	1	yes	characteristic
42	#6376470	C₂²	1	32	yes	complemented
43	C₂×#21249	C₂²	1	2	yes	complemented
44	C₂×#21244	C₂²	1	2	yes	complemented
45	C₂×#21012	C₂²	1	2	yes	complemented
46	C₂²×#1911	C₂²	1	2	yes	—
47	C₂²×#1911	C₂²	1	2	yes	—
48	C₂×#21009	C₂²	1	2	yes	complemented
49	C₂²×#1910	C₂²	1	2	yes	—
50	C₂²×#1910	C₂²	1	2	yes	—
51	C₂×#21005	C₂²	1	2	yes	complemented
52	C₂×#21000	C₂²	1	2	yes	complemented
53	C₂×#20998	C₂²	1	2	yes	complemented
54	C₂²×#1904	C₂²	1	2	yes	complemented
55	C₂×#20995	C₂²	1	2	yes	complemented
56	C₂²×#1903	C₂²	1	2	yes	complemented
57	C₂²×#1891	C₂²	1	2	yes	—
58	C₂×#20959	C₂²	1	2	yes	—
59	C₂×#20945	C₂²	1	2	yes	complemented
60	C₂×#20939	C₂²	1	2	yes	complemented
61	C₂×#20757	C₂²	1	2	yes	complemented
62	C₂×#20708	C₂²	1	2	yes	complemented
63	C₂×#20605	C₂²	1	2	yes	—
64	C₂×#20598	C₂²	1	2	yes	—
65	C₂²×#1783	C₂²	1	1	yes	characteristic
66	C₂×#20584	C₂²	1	1	yes	characteristic
67	C₂×#20370	C₂²	1	2	yes	complemented
68	C₂×#20338	C₂²	1	2	yes	complemented
69	#391879	C₂²	1	16	yes	complemented
70	#387441	C₂²	1	32	yes	complemented
71	#386041	C₂²	1	16	yes	complemented
72	#386039	C₂²	1	16	yes	complemented
73	#383755	C₂²	1	32	yes	complemented
74	#383753	C₂²	1	32	yes	complemented
75	#383149	C₂²	1	32	yes	complemented
76	#383145	C₂²	1	32	yes	complemented
77	#375718	C₂²	1	16	yes	complemented
78	#368857	C₂²	1	32	yes	complemented
79	#368855	C₂²	1	32	yes	complemented
80	#364596	C₂²	1	32	yes	complemented
81	#364592	C₂²	1	32	yes	complemented
82	#363996	C₂²	1	32	yes	complemented
83	#363903	C₂²	1	32	yes	complemented
84	#359513	C₂²	1	16	yes	complemented
85	#359509	C₂²	1	16	yes	complemented
86	C₂×#11389	C₂²	1	2	yes	complemented
87	C₂×#11389	C₂²	1	2	yes	complemented
88	C₂×#11246	C₂²	1	2	yes	complemented
89	C₂×#11245	C₂²	1	2	yes	complemented
90	C₂×#11187	C₂²	1	2	yes	complemented
91	C₂×#11186	C₂²	1	2	yes	complemented
92	C₂×#11181	C₂²	1	2	yes	complemented
93	C₂×#11180	C₂²	1	2	yes	complemented
94	C₂×#11133	C₂²	1	2	yes	complemented
95	C₂×#11132	C₂²	1	2	yes	complemented
96	C₂×#11131	C₂²	1	2	yes	complemented
97	C₂×#11129	C₂²	1	2	yes	complemented
98	C₂×#11101	C₂²	1	2	yes	—
99	C₂×#11100	C₂²	1	2	yes	—
100	C₂×#11034	C₂²	1	2	yes	complemented
101	C₂×#11033	C₂²	1	2	yes	complemented
102	C₂×#11032	C₂²	1	2	yes	complemented
103	C₂×#11030	C₂²	1	2	yes	complemented
104	C₂×#10994	C₂²	1	2	yes	—
105	C₂×#10994	C₂²	1	2	yes	—
106	C₂×#10989	C₂²	1	1	yes	characteristic
107	C₂×#10989	C₂²	1	1	yes	characteristic
108	C₂×#10989	C₂²	1	1	yes	characteristic
109	C₂×#10989	C₂²	1	1	yes	characteristic
110	C₂×#10987	C₂²	1	1	yes	characteristic
111	C₂×#10987	C₂²	1	1	yes	characteristic
112	C₂×#10987	C₂²	1	1	yes	characteristic
113	C₂×#10987	C₂²	1	1	yes	characteristic
114	C₂×#10953	C₂²	1	2	yes	complemented
115	C₂×#10951	C₂²	1	2	yes	complemented
116	C₂×#10950	C₂²	1	2	yes	complemented
117	C₂×#10948	C₂²	1	2	yes	complemented
118	C₂×#10937	C₂²	1	2	yes	—
119	C₂×#10937	C₂²	1	2	yes	—
120	C₂×#10890	C₂²	1	2	yes	complemented
121	C₂×#10890	C₂²	1	2	yes	complemented
122	C₂×#10810	C₂²	1	2	yes	complemented
123	C₂×#10810	C₂²	1	2	yes	complemented
124	C₂×#10787	C₂²	1	2	yes	complemented
125	C₂×#10785	C₂²	1	2	yes	complemented
126	C₂×#10792	C₂²	1	2	yes	complemented
127	C₂×#10792	C₂²	1	2	yes	complemented
128	C₂×#10778	C₂²	1	2	yes	complemented
129	C₂×#10776	C₂²	1	2	yes	complemented
130	C₂×#10716	C₂²	1	2	yes	—
131	C₂×#10716	C₂²	1	2	yes	—
132	C₂⁴×#41	C₂³	1	1	yes	characteristic
133	C₂⁵×D₄	C₂³	1	1	yes	characteristic
134	C₂²×#575	C₂³	1	2	yes	—
135	C₂²×#575	C₂³	1	2	yes	—
136	C₂³×AGL(1,ℤ/8)	C₂³	1	2	yes	—
137	C₂³×AGL(1,ℤ/8)	C₂³	1	2	yes	—
138	C₂²×#568	C₂³	1	2	yes	—
139	C₂²×#568	C₂³	1	2	yes	—
140	#62814	C₂×C₄	1	8	yes	complemented
141	#62814	C₂³	1	8	yes	—
142	C₂×#3455	C₂×C₄	1	4	yes	complemented
143	C₂×#3458	C₂³	1	1	yes	characteristic
144	C₂×#3449	C₂³	1	1	yes	characteristic
145	C₂²×#535	C₂×C₄	1	2	yes	complemented
146	C₂²×#535	C₂×C₄	1	2	yes	complemented
147	C₂²×#535	C₂×C₄	1	8	yes	complemented
148	C₂²×#535	C₂³	1	1	yes	characteristic
149	C₂²×#535	C₂³	1	1	yes	characteristic
150	C₂²×#535	C₂³	1	1	yes	characteristic
151	C₂²×#535	C₂³	1	1	yes	characteristic
152	C₂²×#535	C₂³	1	8	yes	—
153	C₂×#3444	C₂×C₄	1	4	yes	complemented
154	C₂³×#127	C₂×C₄	1	2	yes	complemented
155	C₂³×#124	C₂×C₄	1	2	yes	complemented
156	C₂²×#525	C₂³	1	2	yes	—
157	C₂×#3428	C₂³	1	2	yes	—
158	C₂×#3428	C₂³	1	2	yes	—
159	C₂²×#518	C₂³	1	2	yes	—
160	C₂³×#117	C₂³	1	1	yes	characteristic
161	#60806	C₂×C₄	1	64	yes	complemented
162	#60806	C₂×C₄	1	64	yes	complemented
163	#60799	C₂×C₄	1	64	yes	complemented
164	#60798	C₂×C₄	1	64	yes	complemented
165	#60644	C₂×C₄	1	8	yes	—
166	#60644	C₂×C₄	1	8	yes	complemented
167	#60644	D₄	1	16	yes	—
168	#60644	C₂³	1	8	yes	—
169	#60644	C₂³	1	8	yes	—
170	C₂×#3155	D₄	1	8	yes	—
171	C₂×#3154	D₄	1	8	yes	—
172	C₂×#3153	C₂×C₄	1	4	yes	—
173	C₂×#3153	C₂×C₄	1	4	yes	complemented
174	C₂×#3151	C₂×C₄	1	4	yes	—
175	C₂×#3151	C₂×C₄	1	4	yes	complemented
176	#60619	C₂×C₄	1	8	yes	complemented
177	#60619	C₂×C₄	1	8	yes	complemented
178	#60619	C₂³	1	8	yes	—
179	#60619	C₂³	1	8	yes	—
180	C₂×#3140	C₂×C₄	1	4	yes	complemented
181	C₂×#3140	C₂×C₄	1	4	yes	complemented
182	C₂×#3138	C₂×C₄	1	4	yes	complemented
183	C₂×#3138	C₂×C₄	1	4	yes	complemented
184	#60426	C₂×C₄	1	16	yes	complemented
185	#60426	C₂×C₄	1	16	yes	complemented
186	#60426	C₂³	1	16	yes	—
187	#60426	C₂³	1	16	yes	—
188	C₂×#3040	C₂×C₄	1	8	yes	complemented
189	C₂×#3040	C₂×C₄	1	8	yes	complemented
190	C₂×#3038	C₂×C₄	1	8	yes	complemented
191	C₂×#3038	C₂×C₄	1	8	yes	complemented
192	#60359	C₂×C₄	1	16	yes	complemented
193	#60359	C₂³	1	16	yes	—
194	C₂×#3005	C₂×C₄	1	4	yes	complemented
195	C₂×#3005	C₂×C₄	1	4	yes	complemented
196	C₂×#3004	C₂×C₄	1	4	yes	complemented
197	C₂×#3003	C₂×C₄	1	4	yes	complemented
198	C₂×#3003	C₂×C₄	1	8	yes	complemented
199	C₂×#3003	C₂×C₄	1	8	yes	complemented
200	C₂×#3003	C₂×C₄	1	16	yes	complemented
201	C₂×#3003	C₂³	1	16	yes	—
202	#60182	C₂³	1	16	yes	complemented
203	#60168	C₂³	1	16	yes	complemented
204	#60124	C₂×C₄	1	8	yes	complemented
205	#60124	C₂³	1	8	yes	—
206	C₂×#2921	C₂×C₄	1	4	yes	complemented
207	C₂×#2920	C₂×C₄	1	4	yes	complemented
208	C₂²×#430	C₂³	1	2	yes	—
209	C₂×#2911	C₂³	1	2	yes	—
210	C₂×#2905	C₂³	1	2	yes	—
211	C₂²×#421	C₂³	1	2	yes	—
212	C₂²×#421	C₂³	1	2	yes	—
213	C₂²×#421	C₂³	1	2	yes	—
214	C₂²×#421	C₂³	1	2	yes	—
215	C₂²×#421	C₂³	1	2	yes	—
216	C₂²×#421	C₂³	1	2	yes	—
217	C₂×#2896	C₂³	1	2	yes	—
218	C₂×#2896	C₂³	1	2	yes	—
219	C₂×#2896	C₂³	1	2	yes	—
220	C₂×#2896	C₂³	1	2	yes	—
221	C₂²×#418	C₂³	1	2	yes	—
222	C₂²×#418	C₂³	1	2	yes	—
223	C₂²×#418	C₂³	1	2	yes	—
224	C₂²×#418	C₂³	1	2	yes	—
225	C₂²×#418	C₂³	1	2	yes	—
226	C₂²×#418	C₂³	1	2	yes	—
227	C₂²×#413	C₂³	1	2	yes	—
228	C₂³×#100	C₂³	1	2	yes	—
229	C₂³×#100	C₂³	1	1	yes	characteristic
230	C₂³×#100	C₂³	1	1	yes	characteristic
231	C₂²×#410	C₂³	1	2	yes	—
232	C₂²×#410	C₂³	1	2	yes	—
233	C₂²×#410	C₂³	1	1	yes	characteristic
234	C₂²×#410	C₂³	1	1	yes	characteristic
235	#60064	C₂³	1	8	yes	—
236	C₂×#2879	C₂³	1	1	yes	characteristic
237	C₂×#2879	C₂³	1	1	yes	characteristic
238	C₂²×#407	C₂³	1	2	yes	—
239	C₂²×#407	C₂³	1	2	yes	—
240	C₂²×#407	C₂³	1	2	yes	—
241	C₂×#2873	C₂³	1	2	yes	—
242	C₂×#2873	C₂³	1	2	yes	—
243	C₂×#2873	C₂³	1	1	yes	characteristic
244	C₂×#2873	C₂³	1	1	yes	characteristic
245	#34171	C₂³	1	8	yes	—
246	C₂×#2309	C₂³	1	1	yes	characteristic
247	C₂×#2309	C₂³	1	1	yes	characteristic
248	C₂×#2280	C₂³	1	2	yes	—
249	C₂×#2280	C₂³	1	2	yes	—
250	#21249	C₂³	1	16	yes	complemented
251	#21244	C₂³	1	16	yes	complemented
252	#21012	C₂³	1	16	yes	complemented
253	C₂×#1911	C₂³	1	16	yes	—
254	C₂×#1911	C₂³	1	16	yes	—
255	#21009	C₂³	1	16	yes	complemented
256	C₂×#1910	C₂³	1	16	yes	—
257	C₂×#1910	C₂³	1	16	yes	—
258	#21005	C₂³	1	16	yes	complemented
259	#21000	C₂³	1	16	yes	complemented
260	#20998	C₂³	1	16	yes	complemented
261	C₂×#1904	C₂³	1	16	yes	complemented
262	#20995	C₂³	1	16	yes	complemented
263	C₂×#1903	C₂³	1	16	yes	complemented
264	C₂×#1891	C₂³	1	16	yes	—
265	#20959	C₂³	1	16	yes	—
266	#20945	C₂³	1	16	yes	complemented
267	#20939	C₂³	1	16	yes	complemented
268	#20757	C₂³	1	16	yes	complemented
269	#20708	C₂³	1	16	yes	complemented
270	#20605	C₂³	1	16	yes	—
271	#20598	C₂³	1	16	yes	—
272	C₂×#1783	C₂³	1	8	yes	—
273	#20584	C₂³	1	8	yes	—
274	#20370	C₂³	1	16	yes	complemented
275	C₂²×#344	C₂³	1	2	yes	—
276	C₂²×#344	C₂³	1	2	yes	—
277	C₂²×#344	C₂³	1	2	yes	—
278	C₂²×#344	C₂³	1	2	yes	—
279	C₂²×#344	C₂³	1	2	yes	—
280	C₂²×#344	C₂³	1	2	yes	—
281	C₂×#1742	C₂³	1	2	yes	—
282	C₂×#1742	C₂³	1	2	yes	—
283	C₂×#1740	C₂³	1	2	yes	—
284	C₂×#1740	C₂³	1	2	yes	—
285	C₂×#1738	C₂³	1	2	yes	—
286	C₂×#1738	C₂³	1	2	yes	—
287	C₂×#1733	C₂³	1	2	yes	—
288	C₂×#1733	C₂³	1	2	yes	—
289	C₂×#1733	C₂³	1	2	yes	—
290	C₂×#1733	C₂³	1	2	yes	—
291	C₂²×#338	C₂³	1	2	yes	—
292	#20338	C₂³	1	16	yes	complemented
293	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
294	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
295	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
296	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
297	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
298	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
299	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
300	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
301	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
302	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
303	C₂²×H(3,ℤ/4)	C₂³	1	2	yes	—
304	#11389	C₂³	1	16	yes	complemented
305	#11389	C₂³	1	16	yes	complemented
306	#11246	C₂³	1	16	yes	complemented
307	#11245	C₂³	1	16	yes	complemented
308	#11187	C₂³	1	16	yes	complemented
309	#11186	C₂³	1	16	yes	complemented
310	#11181	C₂³	1	16	yes	complemented
311	#11180	C₂³	1	16	yes	complemented
312	#11133	C₂³	1	16	yes	complemented
313	#11132	C₂³	1	16	yes	complemented
314	#11131	C₂³	1	16	yes	complemented
315	#11129	C₂³	1	16	yes	complemented
316	#11101	C₂³	1	16	yes	—
317	#11100	C₂³	1	16	yes	—
318	#11034	C₂³	1	16	yes	complemented
319	#11033	C₂³	1	16	yes	complemented
320	#11032	C₂³	1	16	yes	complemented
321	#11030	C₂³	1	16	yes	complemented
322	#10994	C₂³	1	16	yes	—
323	#10994	C₂³	1	16	yes	—
324	#10989	C₂³	1	8	yes	—
325	#10989	C₂³	1	8	yes	—
326	#10989	C₂³	1	8	yes	—
327	#10989	C₂³	1	8	yes	—
328	#10987	C₂³	1	8	yes	—
329	#10987	C₂³	1	8	yes	—
330	#10987	C₂³	1	8	yes	—
331	#10987	C₂³	1	8	yes	—
332	#10953	C₂³	1	16	yes	complemented
333	#10951	C₂³	1	16	yes	complemented
334	#10950	C₂³	1	16	yes	complemented
335	#10948	C₂³	1	16	yes	complemented
336	#10937	C₂³	1	16	yes	—
337	#10937	C₂³	1	16	yes	—
338	#10890	C₂³	1	16	yes	complemented
339	#10890	C₂³	1	16	yes	complemented
340	#10810	C₂³	1	16	yes	complemented
341	#10810	C₂³	1	16	yes	complemented
342	#10792	C₂³	1	16	yes	complemented
343	#10792	C₂³	1	16	yes	complemented
344	#10787	C₂³	1	16	yes	complemented
345	#10785	C₂³	1	16	yes	complemented
346	#10778	C₂³	1	16	yes	complemented
347	#10776	C₂³	1	16	yes	complemented
348	#10716	C₂³	1	16	yes	—
349	#10716	C₂³	1	16	yes	—
350	C₂³×#41	C₂²×C₄	1	1	yes	characteristic
351	C₂³×#41	C₂²×C₄	1	1	yes	characteristic
352	C₂³×#41	C₂²×C₄	1	4	yes	—
353	C₂³×#41	C₂⁴	1	4	yes	—
354	C₂³×#41	C₂⁴	1	1	yes	characteristic
355	C₂³×#41	C₂⁴	1	1	yes	characteristic
356	C₂³×#41	C₂⁴	1	2	yes	—
357	C₂⁴×Q₈	C₂²×C₄	1	1	yes	characteristic
358	C₂⁴×D₄	C₂²×C₄	1	2	yes	—
359	C₂⁴×D₄	C₂²×C₄	1	2	yes	—
360	C₂⁴×D₄	C₂²×C₄	1	4	yes	—
361	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic
362	C₂⁴×D₄	C₂⁴	1	4	yes	—
363	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
364	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
365	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
366	C₂×#575	C₂²×C₄	1	8	yes	—
367	C₂×#575	C₂²×C₄	1	8	yes	—
368	C₂×#575	C₂×D₄	1	8	yes	—
369	C₂×#575	C₂×D₄	1	8	yes	—
370	C₂×#575	C₂⁴	1	8	yes	—
371	C₂×#575	C₂⁴	1	8	yes	—
372	C₂²×#137	C₂²×C₄	1	4	yes	—
373	C₂²×#137	C₂²×C₄	1	4	yes	—
374	C₂²×#137	C₂×D₄	1	4	yes	—
375	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	8	yes	—
376	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	8	yes	—
377	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	4	yes	—
378	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	8	yes	—
379	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	8	yes	—
380	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	4	yes	—
381	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	—
382	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	—
383	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
384	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	8	yes	—
385	C₂²×AGL(1,ℤ/8)	C₂⁴	1	8	yes	—
386	C₂²×AGL(1,ℤ/8)	C₂⁴	1	8	yes	—
387	C₂²×#135	C₂×D₄	1	8	yes	—
388	C₂³×SD₁₆	C₂×D₄	1	4	yes	—
389	C₂³×D₈	C₂×D₄	1	4	yes	—
390	C₂×#568	C₂⁴	1	8	yes	—
391	C₂×#568	C₂⁴	1	8	yes	—
392	C₂³×M₁₆	C₂⁴	1	2	yes	—
393	C₂³×M₁₆	C₂⁴	1	2	yes	—
394	C₂³×M₁₆	C₂⁴	1	2	yes	—
395	C₂³×M₁₆	C₂⁴	1	2	yes	—
396	C₂³×M₁₆	C₂⁴	1	2	yes	—
397	C₂³×M₁₆	C₂⁴	1	2	yes	—
398	#3458	C₂²×C₄	1	4	yes	—
399	#3458	C₂⁴	1	4	yes	—
400	#3455	C₂²×C₄	1	32	yes	complemented
401	#3449	C₂²×C₄	1	4	yes	—
402	#3449	C₂×D₄	1	8	yes	—
403	#3449	C₂⁴	1	4	yes	—
404	C₂×#536	C₂×D₄	1	4	yes	—
405	C₂×#535	C₂²×C₄	1	4	yes	—
406	C₂×#535	C₂²×C₄	1	4	yes	—
407	C₂×#535	C₂²×C₄	1	4	yes	—
408	C₂×#535	C₂²×C₄	1	4	yes	—
409	C₂×#535	C₂²×C₄	1	16	yes	complemented
410	C₂×#535	C₂²×C₄	1	16	yes	complemented
411	C₂×#535	C₂×D₄	1	8	yes	—
412	C₂×#535	C₂×D₄	1	8	yes	—
413	C₂×#535	C₂×D₄	1	4	yes	—
414	C₂×#535	C₂⁴	1	4	yes	—
415	C₂×#535	C₂⁴	1	4	yes	—
416	C₂×#535	C₂⁴	1	4	yes	—
417	C₂×#535	C₂⁴	1	4	yes	—
418	#3444	C₂²×C₄	1	32	yes	complemented
419	C₂×#533	C₂²×C₄	1	4	yes	—
420	C₂×#532	C₂²×C₄	1	4	yes	—
421	C₂²×#127	C₂²×C₄	1	2	yes	—
422	C₂²×#127	C₂²×C₄	1	2	yes	—
423	C₂²×#127	C₂²×C₄	1	2	yes	—
424	C₂²×#127	C₂²×C₄	1	2	yes	—
425	C₂²×#127	C₂²×C₄	1	16	yes	complemented
426	C₂²×#124	C₂²×C₄	1	2	yes	—
427	C₂²×#124	C₂²×C₄	1	2	yes	—
428	C₂²×#124	C₂²×C₄	1	2	yes	—
429	C₂²×#124	C₂²×C₄	1	2	yes	—
430	C₂²×#124	C₂²×C₄	1	16	yes	complemented
431	C₂×#525	C₂²×C₄	1	8	yes	—
432	C₂×#525	C₂²×C₄	1	4	yes	—
433	C₂×#525	C₂²×C₄	1	4	yes	—
434	C₂×#525	C₂⁴	1	8	yes	—
435	#3428	C₂²×C₄	1	8	yes	—
436	#3428	C₂⁴	1	8	yes	—
437	#3428	C₂⁴	1	8	yes	—
438	C₂×#518	C₂⁴	1	8	yes	—
439	C₂×C₄×#41	C₂²×C₄	1	8	yes	—
440	C₂²×#117	C₂²×C₄	1	4	yes	—
441	C₂²×#117	C₂²×C₄	1	2	yes	—
442	C₂²×#117	C₂⁴	1	2	yes	—
443	C₂²×#117	C₂⁴	1	2	yes	—
444	C₂²×#117	C₂⁴	1	2	yes	—
445	C₂²×#117	C₂⁴	1	4	yes	—
446	C₂²×#117	C₂⁴	1	2	yes	—
447	C₂²×#117	C₂⁴	1	2	yes	—
448	C₂²×#117	C₂⁴	1	1	yes	characteristic
449	C₂²×#117	C₂⁴	1	1	yes	characteristic
450	C₂³×C₄²	C₂²×C₄	1	2	yes	—
451	#3155	C₂²⋊C₄	1	64	yes	complemented
452	#3155	C₂×D₄	1	64	yes	—
453	#3154	C₂²⋊C₄	1	64	yes	complemented
454	#3154	C₂×D₄	1	64	yes	—
455	#3153	C₂²⋊C₄	1	32	yes	complemented
456	#3153	C₂²×C₄	1	32	yes	—
457	#3153	C₂²×C₄	1	32	yes	complemented
458	#3151	C₂²⋊C₄	1	32	yes	complemented
459	#3151	C₂²×C₄	1	32	yes	—
460	#3151	C₂²×C₄	1	32	yes	complemented
461	C₂×#497	C₂²⋊C₄	1	8	yes	complemented
462	C₂×#496	C₂²⋊C₄	1	8	yes	complemented
463	C₂×#496	C₂²⋊C₄	1	16	yes	complemented
464	C₂×#495	C₂²⋊C₄	1	16	yes	complemented
465	C₂×#493	C₂²⋊C₄	1	8	yes	complemented
466	C₂×#492	C₂²⋊C₄	1	8	yes	complemented
467	#3140	C₂²×C₄	1	32	yes	complemented
468	#3140	C₂²×C₄	1	32	yes	complemented
469	#3138	C₂²×C₄	1	32	yes	complemented
470	#3138	C₂²×C₄	1	32	yes	complemented
471	#3040	C₂²×C₄	1	64	yes	complemented
472	#3040	C₂²×C₄	1	64	yes	complemented
473	#3038	C₂²×C₄	1	64	yes	complemented
474	#3038	C₂²×C₄	1	64	yes	complemented
475	#3005	C₂²×C₄	1	32	yes	complemented
476	#3005	C₂²×C₄	1	32	yes	complemented
477	#3004	C₂²×C₄	1	32	yes	complemented
478	#3003	C₂²×C₄	1	32	yes	complemented
479	#3003	C₂²×C₄	1	64	yes	complemented
480	#3003	C₂²×C₄	1	64	yes	complemented
481	#2921	C₂²×C₄	1	32	yes	complemented
482	#2920	C₂²×C₄	1	32	yes	complemented
483	C₂×#430	C₂⁴	1	8	yes	—
484	#2911	C₂⁴	1	8	yes	—
485	#2905	C₂²×C₄	1	8	yes	—
486	#2905	C₂⁴	1	8	yes	—
487	C₂×#423	C₂²×C₄	1	8	yes	—
488	C₂×#421	C₂⁴	1	8	yes	—
489	C₂×#421	C₂⁴	1	8	yes	—
490	C₂×#421	C₂⁴	1	8	yes	—
491	C₂×#421	C₂⁴	1	8	yes	—
492	C₂×#421	C₂⁴	1	8	yes	—
493	C₂×#421	C₂⁴	1	8	yes	—
494	#2896	C₂²×C₄	1	8	yes	—
495	#2896	C₂²×C₄	1	8	yes	—
496	#2896	C₂⁴	1	8	yes	—
497	#2896	C₂⁴	1	8	yes	—
498	#2896	C₂⁴	1	8	yes	—
499	#2896	C₂⁴	1	8	yes	—
500	C₂×#419	C₂²×C₄	1	4	yes	—
501	C₂×#419	C₂²×C₄	1	4	yes	—
502	C₂×#418	C₂²×C₄	1	8	yes	—
503	C₂×#418	C₂²×C₄	1	8	yes	—
504	C₂×#418	C₂²×C₄	1	8	yes	—
505	C₂×#418	C₂²×C₄	1	8	yes	—
506	C₂×#418	C₂²×C₄	1	4	yes	—
507	C₂×#418	C₂²×C₄	1	4	yes	—
508	C₂×#418	C₂⁴	1	8	yes	—
509	C₂×#418	C₂⁴	1	8	yes	—
510	C₂×#418	C₂⁴	1	8	yes	—
511	C₂×#418	C₂⁴	1	8	yes	—
512	C₂×#418	C₂⁴	1	8	yes	—
513	C₂×#418	C₂⁴	1	8	yes	—
514	C₂×#413	C₂⁴	1	8	yes	—
515	C₂²×#100	C₂⁴	1	8	yes	—
516	C₂²×#100	C₂⁴	1	4	yes	—
517	C₂²×#100	C₂⁴	1	4	yes	—
518	C₂×#410	C₂⁴	1	8	yes	—
519	C₂×#410	C₂⁴	1	8	yes	—
520	C₂×#410	C₂⁴	1	4	yes	—
521	C₂×#410	C₂⁴	1	4	yes	—
522	#2879	C₂⁴	1	4	yes	—
523	#2879	C₂⁴	1	4	yes	—
524	C₂×#407	C₂²×C₄	1	4	yes	—
525	C₂×#407	C₂²×C₄	1	4	yes	—
526	C₂×#407	C₂²×C₄	1	8	yes	—
527	C₂×#407	C₂⁴	1	8	yes	—
528	C₂×#407	C₂⁴	1	8	yes	—
529	C₂×#407	C₂⁴	1	8	yes	—
530	#2873	C₂²×C₄	1	4	yes	—
531	#2873	C₂²×C₄	1	4	yes	—
532	#2873	C₂×D₄	1	8	yes	—
533	#2873	C₂⁴	1	8	yes	—
534	#2873	C₂⁴	1	8	yes	—
535	#2873	C₂⁴	1	4	yes	—
536	#2873	C₂⁴	1	4	yes	—
537	C₂×#405	C₂×D₄	1	8	yes	—
538	C₂×C₄×M₁₆	C₂²×C₄	1	4	yes	—
539	C₂×C₄×M₁₆	C₂²×C₄	1	4	yes	—
540	#2309	C₂⁴	1	4	yes	—
541	#2309	C₂⁴	1	4	yes	—
542	#2280	C₂⁴	1	8	yes	—
543	#2280	C₂⁴	1	8	yes	—
544	C₂×#344	C₂⁴	1	8	yes	—
545	C₂×#344	C₂⁴	1	8	yes	—
546	C₂×#344	C₂⁴	1	8	yes	—
547	C₂×#344	C₂⁴	1	8	yes	—
548	C₂×#344	C₂⁴	1	8	yes	—
549	C₂×#344	C₂⁴	1	8	yes	—
550	#1742	C₂⁴	1	8	yes	—
551	#1742	C₂⁴	1	8	yes	—
552	#1740	C₂⁴	1	8	yes	—
553	#1740	C₂⁴	1	8	yes	—
554	#1738	C₂⁴	1	8	yes	—
555	#1738	C₂⁴	1	8	yes	—
556	#1733	C₂⁴	1	8	yes	—
557	#1733	C₂⁴	1	8	yes	—
558	#1733	C₂⁴	1	8	yes	—
559	#1733	C₂⁴	1	8	yes	—
560	C₂×#338	C₂⁴	1	8	yes	—
561	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	—
562	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	—
563	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	—
564	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	—
565	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	—
566	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	—
567	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	—
568	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	—
569	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	—
570	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	—
571	C₂×H(3,ℤ/4)	C₂⁴	1	8	yes	—
572	C₂⁶	H(5,𝔽₂)	1	1	yes	characteristic
573	C₂²×#41	C₂³×C₄	1	4	yes	—
574	C₂²×#41	C₂³×C₄	1	4	yes	—
575	C₂²×#41	C₂³×C₄	1	2	yes	—
576	C₂²×#41	C₂³×C₄	1	2	yes	—
577	C₂²×#41	C₂³×C₄	1	4	yes	—
578	C₂²×#41	C₂³×C₄	1	4	yes	—
579	C₂²×#41	C₂²×D₄	1	4	yes	—
580	C₂²×#41	C₂²×D₄	1	4	yes	—
581	C₂²×#41	C₂²×D₄	1	4	yes	—
582	C₂²×#41	C₂²×D₄	1	4	yes	—
583	C₂²×#41	C₂²×D₄	1	4	yes	—
584	C₂²×#41	C₂⁵	1	2	yes	—
585	C₂²×#41	C₂⁵	1	2	yes	—
586	C₂²×#41	C₂⁵	1	4	yes	—
587	C₂³×Q₈	C₂³×C₄	1	1	yes	characteristic
588	C₂³×Q₈	C₂³×C₄	1	1	yes	characteristic
589	C₂³×Q₈	C₂³×C₄	1	4	yes	—
590	C₂³×Q₈	C₂²×D₄	1	2	yes	—
591	C₂³×D₄	C₂³×C₄	1	2	yes	—
592	C₂³×D₄	C₂³×C₄	1	2	yes	—
593	C₂³×D₄	C₂³×C₄	1	1	yes	characteristic
594	C₂³×D₄	C₂³×C₄	1	2	yes	—
595	C₂³×D₄	C₂³×C₄	1	2	yes	—
596	C₂³×D₄	C₂³×C₄	1	1	yes	characteristic
597	C₂³×D₄	C₂³×C₄	1	8	yes	—
598	C₂³×D₄	C₂³×C₄	1	8	yes	—
599	C₂³×D₄	C₂³×C₄	1	4	yes	—
600	C₂³×D₄	C₂²×D₄	1	4	yes	—
601	C₂³×D₄	C₂²×D₄	1	4	yes	—
602	C₂³×D₄	C₂²×D₄	1	2	yes	—
603	C₂³×D₄	C₂⁵	1	2	yes	—
604	C₂³×D₄	C₂⁵	1	2	yes	—
605	C₂⁴×C₄	C₂³×C₄	1	1	yes	characteristic
606	C₂⁴×C₄	C₂³×C₄	1	1	yes	characteristic
607	C₂⁴×C₄	C₂³×C₄	1	2	yes	—
608	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
609	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
610	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
611	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
612	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
613	C₂⁴×C₄	C₂⁵	1	2	yes	—
614	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
615	C₂×#137	C₂×C₂²⋊C₄	1	16	yes	complemented
616	C₂×#137	C₂×C₂²⋊C₄	1	16	yes	complemented
617	C₂×#137	C₂³×C₄	1	16	yes	—
618	C₂×#137	C₂³×C₄	1	16	yes	—
619	C₂×#137	C₂²×D₄	1	16	yes	—
620	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	32	yes	—
621	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	32	yes	—
622	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	16	yes	complemented
623	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	16	yes	complemented
624	C₂×AGL(1,ℤ/8)	C₂³×C₄	1	16	yes	—
625	C₂×AGL(1,ℤ/8)	C₂³×C₄	1	32	yes	—
626	C₂×AGL(1,ℤ/8)	C₂³×C₄	1	32	yes	—
627	C₂×AGL(1,ℤ/8)	C₂³×C₄	1	16	yes	—
628	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	32	yes	—
629	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	16	yes	—
630	C₂×#135	C₂×C₂²⋊C₄	1	32	yes	complemented
631	C₂×#135	C₂²×D₄	1	32	yes	—
632	C₂²×Q₁₆	C₂×C₂²⋊C₄	1	8	yes	complemented
633	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	16	yes	—
634	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	16	yes	—
635	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	8	yes	complemented
636	C₂²×SD₁₆	C₂×C₂²⋊C₄	1	8	yes	complemented
637	C₂²×SD₁₆	C₂²×D₄	1	16	yes	—
638	C₂²×D₈	C₂×C₂²⋊C₄	1	16	yes	—
639	C₂²×D₈	C₂×C₂²⋊C₄	1	16	yes	—
640	C₂²×D₈	C₂×C₂²⋊C₄	1	8	yes	complemented
641	C₂²×D₈	C₂²×D₄	1	16	yes	—
642	C₂²×M₁₆	C₂³×C₄	1	4	yes	—
643	C₂²×M₁₆	C₂³×C₄	1	4	yes	—
644	C₂²×M₁₆	C₂³×C₄	1	4	yes	—
645	C₂²×M₁₆	C₂³×C₄	1	4	yes	—
646	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
647	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
648	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
649	C₂²×M₁₆	H(5,𝔽₂)	1	4	yes	—
650	C₂²×M₁₆	C₂⁵	1	4	yes	—
651	C₂²×M₁₆	C₂⁵	1	4	yes	—
652	C₂²×M₁₆	C₂⁵	1	4	yes	—
653	C₂²×M₁₆	C₂⁵	1	4	yes	—
654	C₂²×M₁₆	C₂⁵	1	4	yes	—
655	C₂²×M₁₆	C₂⁵	1	4	yes	—
656	C₂³×C₈	C₂²×D₄	1	4	yes	—
657	C₂³×C₈	H(5,𝔽₂)	1	4	yes	—
658	#536	C₂×C₂²⋊C₄	1	16	yes	complemented
659	#536	C₂²×D₄	1	16	yes	—
660	#535	C₂×C₂²⋊C₄	1	32	yes	—
661	#535	C₂×C₂²⋊C₄	1	16	yes	complemented
662	#535	C₂²×D₄	1	32	yes	—
663	#535	C₂²×D₄	1	16	yes	—
664	#533	C₂³×C₄	1	16	yes	—
665	#532	C₂×C₂²⋊C₄	1	16	yes	complemented
666	#532	C₂³×C₄	1	16	yes	—
667	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	4	yes	complemented
668	C₂×#127	C₂×C₂²⋊C₄	1	8	yes	—
669	C₂×#127	C₂×C₂²⋊C₄	1	8	yes	—
670	C₂×#127	C₂×C₂²⋊C₄	1	4	yes	complemented
671	C₂×#127	C₂³×C₄	1	8	yes	—
672	C₂×#127	C₂³×C₄	1	8	yes	—
673	C₂×#127	C₂³×C₄	1	8	yes	—
674	C₂×#127	C₂³×C₄	1	8	yes	—
675	C₂×#124	C₂×C₂²⋊C₄	1	8	yes	—
676	C₂×#124	C₂×C₂²⋊C₄	1	8	yes	—
677	C₂×#124	C₂×C₂²⋊C₄	1	8	yes	complemented
678	C₂×#124	C₂³×C₄	1	8	yes	—
679	C₂×#124	C₂³×C₄	1	8	yes	—
680	C₂×#124	C₂³×C₄	1	8	yes	—
681	C₂×#124	C₂³×C₄	1	8	yes	—
682	#525	C₂³×C₄	1	16	yes	—
683	#525	C₂³×C₄	1	16	yes	—
684	C₄×#41	C₂³×C₄	1	32	yes	—
685	C₂×#117	C₂³×C₄	1	4	yes	—
686	C₂×#117	C₂³×C₄	1	4	yes	—
687	C₂×#117	C₂³×C₄	1	8	yes	—
688	C₂×#117	C₂³×C₄	1	2	yes	—
689	C₂×#117	C₂³×C₄	1	2	yes	—
690	C₂×#117	C₂²×D₄	1	4	yes	—
691	C₂×#117	C₂²×D₄	1	4	yes	—
692	C₂×#117	H(5,𝔽₂)	1	4	yes	—
693	C₂×#117	H(5,𝔽₂)	1	4	yes	—
694	C₂×#117	H(5,𝔽₂)	1	4	yes	—
695	C₂×#117	C₂⁵	1	4	yes	—
696	C₂×#117	C₂⁵	1	4	yes	—
697	C₂×#117	C₂⁵	1	4	yes	—
698	C₂×#117	C₂⁵	1	4	yes	—
699	C₂×#117	C₂⁵	1	2	yes	—
700	C₂×#117	C₂⁵	1	2	yes	—
701	C₂×#117	C₂⁵	1	4	yes	—
702	C₂²×C₄²	C₂³×C₄	1	8	yes	—
703	C₂²×C₄²	C₂³×C₄	1	2	yes	—
704	C₂²×C₄²	C₂³×C₄	1	2	yes	—
705	C₂²×C₄²	H(5,𝔽₂)	1	4	yes	—
706	#497	C₂×C₂²⋊C₄	1	64	yes	complemented
707	#496	C₂×C₂²⋊C₄	1	64	yes	complemented
708	#496	C₂×C₂²⋊C₄	1	128	yes	complemented
709	#495	C₂×C₂²⋊C₄	1	128	yes	complemented
710	#493	C₂×C₂²⋊C₄	1	64	yes	complemented
711	#492	C₂×C₂²⋊C₄	1	64	yes	complemented
712	#423	C₂³×C₄	1	32	yes	—
713	#419	C₂³×C₄	1	16	yes	—
714	#419	C₂³×C₄	1	16	yes	—
715	#418	C₂³×C₄	1	16	yes	—
716	#418	C₂³×C₄	1	16	yes	—
717	#418	C₂³×C₄	1	32	yes	—
718	#418	C₂³×C₄	1	32	yes	—
719	#407	C₂³×C₄	1	16	yes	—
720	#407	C₂³×C₄	1	16	yes	—
721	#405	C₂×C₂²⋊C₄	1	32	yes	complemented
722	#405	C₂²×D₄	1	32	yes	—
723	C₄×M₁₆	C₂×C₂²⋊C₄	1	16	yes	complemented
724	C₄×M₁₆	C₂³×C₄	1	16	yes	—
725	C₄×M₁₆	C₂³×C₄	1	16	yes	—
726	C₂×#97	C₂×C₂²⋊C₄	1	8	yes	complemented
727	C₂×C₄×C₈	C₂×C₂²⋊C₄	1	8	yes	complemented
728	C₂⁵	#518	1	1	yes	characteristic
729	C₂⁵	#518	1	1	yes	characteristic
730	C₂⁵	#518	1	2	yes	—
731	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
732	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
733	C₂×#41	C₂²×C₂²⋊C₄	1	8	yes	—
734	C₂×#41	C₂²×C₂²⋊C₄	1	8	yes	—
735	C₂×#41	C₂²×C₂²⋊C₄	1	8	yes	—
736	C₂×#41	C₂⁴×C₄	1	8	yes	—
737	C₂×#41	C₂³×D₄	1	8	yes	—
738	C₂×#41	C₂³×D₄	1	8	yes	—
739	C₂²×Q₈	C₂²×C₂²⋊C₄	1	4	yes	—
740	C₂²×Q₈	C₂²×C₂²⋊C₄	1	4	yes	—
741	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
742	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
743	C₂²×Q₈	C₂⁴×C₄	1	2	yes	—
744	C₂²×Q₈	C₂⁴×C₄	1	2	yes	—
745	C₂²×Q₈	C₂³×D₄	1	4	yes	—
746	C₂²×D₄	C₂²×C₂²⋊C₄	1	4	yes	—
747	C₂²×D₄	C₂²×C₂²⋊C₄	1	4	yes	—
748	C₂²×D₄	C₂²×C₂²⋊C₄	1	4	yes	—
749	C₂²×D₄	C₂²×C₂²⋊C₄	1	4	yes	—
750	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
751	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
752	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
753	C₂²×D₄	C₂⁴×C₄	1	4	yes	—
754	C₂²×D₄	C₂⁴×C₄	1	2	yes	—
755	C₂²×D₄	C₂⁴×C₄	1	4	yes	—
756	C₂²×D₄	C₂⁴×C₄	1	2	yes	—
757	C₂²×D₄	C₂³×D₄	1	4	yes	—
758	C₂²×D₄	C₂³×D₄	1	8	yes	—
759	C₂³×C₄	#518	1	1	yes	characteristic
760	C₂³×C₄	#518	1	2	yes	—
761	C₂³×C₄	#518	1	2	yes	—
762	C₂³×C₄	#518	1	2	yes	—
763	C₂³×C₄	#518	1	2	yes	—
764	C₂³×C₄	#518	1	1	yes	characteristic
765	C₂³×C₄	#518	1	2	yes	—
766	C₂³×C₄	C₂⁴×C₄	1	2	yes	—
767	C₂³×C₄	C₂⁴×C₄	1	2	yes	—
768	C₂³×C₄	C₂⁴×C₄	1	1	yes	characteristic
769	C₂³×C₄	C₂⁴×C₄	1	1	yes	characteristic
770	C₂³×C₄	C₂³×D₄	1	2	yes	—
771	C₂³×C₄	C₂³×D₄	1	2	yes	—
772	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
773	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
774	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
775	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
776	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
777	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
778	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
779	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
780	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
781	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
782	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
783	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
784	C₂³×C₄	#585	1	2	yes	—
785	C₂³×C₄	#585	1	2	yes	—
786	C₂³×C₄	#585	1	2	yes	—
787	C₂³×C₄	#585	1	2	yes	—
788	C₂³×C₄	C₂⁶	1	1	yes	characteristic
789	C₂×Q₁₆	C₂²×C₂²⋊C₄	1	32	yes	complemented
790	C₂×SD₁₆	C₂²×C₂²⋊C₄	1	64	yes	—
791	C₂×SD₁₆	C₂²×C₂²⋊C₄	1	32	yes	complemented
792	C₂×SD₁₆	C₂²×C₂²⋊C₄	1	32	yes	complemented
793	C₂×D₈	C₂²×C₂²⋊C₄	1	64	yes	—
794	C₂×D₈	C₂²×C₂²⋊C₄	1	32	yes	complemented
795	C₂×M₁₆	C₂²×C₂²⋊C₄	1	8	yes	—
796	C₂×M₁₆	C₂²×C₂²⋊C₄	1	8	yes	—
797	C₂×M₁₆	C₂⁴×C₄	1	8	yes	—
798	C₂×M₁₆	C₂⁴×C₄	1	8	yes	—
799	C₂×M₁₆	C₂³×D₄	1	8	yes	—
800	C₂²×C₈	C₂²×C₂²⋊C₄	1	8	yes	—
801	C₂²×C₈	C₂²×C₂²⋊C₄	1	8	yes	—
802	C₂²×C₈	C₂³×D₄	1	8	yes	—
803	C₂²×C₈	C₂×H(5,𝔽₂)	1	8	yes	—
804	C₄⋊Q₈	C₂²×C₂²⋊C₄	1	16	yes	complemented
805	#127	C₂²×C₂²⋊C₄	1	32	yes	—
806	#127	C₂²×C₂²⋊C₄	1	16	yes	complemented
807	#124	C₂²×C₂²⋊C₄	1	32	yes	—
808	#124	C₂²×C₂²⋊C₄	1	32	yes	complemented
809	#117	C₂²×C₂²⋊C₄	1	8	yes	—
810	#117	#518	1	8	yes	—
811	#117	C₂⁴×C₄	1	8	yes	—
812	#117	C₂³×D₄	1	8	yes	—
813	#117	C₂×H(5,𝔽₂)	1	8	yes	—
814	C₂×C₄²	C₂²×C₂²⋊C₄	1	4	yes	—
815	C₂×C₄²	C₂²×C₂²⋊C₄	1	4	yes	—
816	C₂×C₄²	#518	1	4	yes	—
817	C₂×C₄²	#518	1	4	yes	—
818	C₂×C₄²	C₂⁴×C₄	1	4	yes	—
819	C₂×C₄²	C₂⁴×C₄	1	4	yes	—
820	C₂×C₄²	C₂×H(5,𝔽₂)	1	8	yes	—
821	#97	C₂²×C₂²⋊C₄	1	32	yes	complemented
822	C₄×C₈	C₂²×C₂²⋊C₄	1	32	yes	complemented
823	C₂⁴	C₂×#518	1	2	yes	—
824	C₂⁴	C₂×#518	1	2	yes	—
825	C₂⁴	C₂×#518	1	1	yes	characteristic
826	C₂⁴	C₂×#518	1	1	yes	characteristic
827	C₂⁴	#3484	1	2	yes	—
828	C₂⁴	#3484	1	2	yes	—
829	C₂⁴	#3532	1	1	yes	characteristic
830	C₂⁴	#3532	1	1	yes	characteristic
831	C₂⁴	#3533	1	1	yes	characteristic
832	C₂⁴	#3533	1	1	yes	characteristic
833	C₂⁴	#3542	1	2	yes	—
834	C₂⁴	#3542	1	2	yes	—
835	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
836	C₂×Q₈	C₂³×C₂²⋊C₄	1	4	yes	—
837	C₂×Q₈	C₂³×C₂²⋊C₄	1	8	yes	—
838	C₂×D₄	C₂³×C₂²⋊C₄	1	8	yes	—
839	C₂×D₄	C₂³×C₂²⋊C₄	1	4	yes	—
840	C₂×D₄	C₂³×C₂²⋊C₄	1	8	yes	—
841	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
842	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
843	C₂²×C₄	C₂³×C₂²⋊C₄	1	2	yes	—
844	C₂²×C₄	C₂×#518	1	2	yes	—
845	C₂²×C₄	C₂×#518	1	2	yes	—
846	C₂²×C₄	C₂×#518	1	1	yes	characteristic
847	C₂²×C₄	C₂×#518	1	1	yes	characteristic
848	C₂²×C₄	C₂×#518	1	1	yes	characteristic
849	C₂²×C₄	C₂×#518	1	1	yes	characteristic
850	C₂²×C₄	C₂×#518	1	2	yes	—
851	C₂²×C₄	C₄×H(5,𝔽₂)	1	2	yes	—
852	C₂²×C₄	C₄×H(5,𝔽₂)	1	2	yes	—
853	C₂²×C₄	C₄×H(5,𝔽₂)	1	2	yes	—
854	C₂²×C₄	C₄×H(5,𝔽₂)	1	2	yes	—
855	C₂²×C₄	C₄×H(5,𝔽₂)	1	2	yes	—
856	C₂²×C₄	C₄×H(5,𝔽₂)	1	2	yes	—
857	C₂²×C₄	C₄×H(5,𝔽₂)	1	2	yes	—
858	C₂²×C₄	C₄×H(5,𝔽₂)	1	2	yes	—
859	C₂²×C₄	#3484	1	2	yes	—
860	C₂²×C₄	#3484	1	2	yes	—
861	C₂²×C₄	#3484	1	2	yes	—
862	C₂²×C₄	#3484	1	2	yes	—
863	C₂²×C₄	#3484	1	2	yes	—
864	C₂²×C₄	#3484	1	2	yes	—
865	C₂²×C₄	#3484	1	2	yes	—
866	C₂²×C₄	#3484	1	2	yes	—
867	C₂²×C₄	#3484	1	2	yes	—
868	C₂²×C₄	#3484	1	2	yes	—
869	C₂²×C₄	#3485	1	2	yes	—
870	C₂²×C₄	#3485	1	2	yes	—
871	C₂²×C₄	#3485	1	2	yes	—
872	C₂²×C₄	#3485	1	2	yes	—
873	C₂²×C₄	#3496	1	2	yes	—
874	C₂²×C₄	#3496	1	2	yes	—
875	C₂²×C₄	#3496	1	2	yes	—
876	C₂²×C₄	#3496	1	2	yes	—
877	C₂²×C₄	#3496	1	2	yes	—
878	C₂²×C₄	#3496	1	2	yes	—
879	C₂²×C₄	#3496	1	2	yes	—
880	C₂²×C₄	#3496	1	2	yes	—
881	C₂²×C₄	#3532	1	2	yes	—
882	C₂²×C₄	#3532	1	1	yes	characteristic
883	C₂²×C₄	#3532	1	2	yes	—
884	C₂²×C₄	#3532	1	1	yes	characteristic
885	C₂²×C₄	#3533	1	1	yes	characteristic
886	C₂²×C₄	#3533	1	1	yes	characteristic
887	C₂²×C₄	#3533	1	2	yes	—
888	C₂²×C₄	#3533	1	2	yes	—
889	C₂²×C₄	#3542	1	2	yes	—
890	C₂²×C₄	#3542	1	2	yes	—
891	C₂²×C₄	#3542	1	2	yes	—
892	C₂²×C₄	#3542	1	2	yes	—
893	C₂²×C₄	#3542	1	2	yes	—
894	C₂²×C₄	#3542	1	2	yes	—
895	C₂²×C₄	#3542	1	2	yes	—
896	C₂²×C₄	#3542	1	2	yes	—
897	C₂²×C₄	#3542	1	2	yes	—
898	C₂²×C₄	#3542	1	2	yes	—
899	C₂²×C₄	#3542	1	2	yes	—
900	C₂²×C₄	#3542	1	2	yes	—
901	C₂²×C₄	#3542	1	2	yes	—
902	C₂²×C₄	#3542	1	2	yes	—
903	C₂²×C₄	#3549	1	2	yes	—
904	C₂²×C₄	#3549	1	2	yes	—
905	C₂²×C₄	#3549	1	2	yes	—
906	C₂²×C₄	#3549	1	2	yes	—
907	C₂²×C₄	#3551	1	2	yes	—
908	C₂²×C₄	#3551	1	2	yes	—
909	C₂²×C₄	#3551	1	2	yes	—
910	C₂²×C₄	#3551	1	2	yes	—
911	C₂²×C₄	C₂⁵×C₄	1	1	yes	characteristic
912	C₂²×C₄	C₂⁴×D₄	1	2	yes	—
913	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
914	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
915	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
916	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
917	C₂²×C₄	C₂×#585	1	2	yes	—
918	C₂²×C₄	C₂×#585	1	2	yes	—
919	C₂×C₈	C₂³×C₂²⋊C₄	1	16	yes	—
920	C₄²	C₂³×C₂²⋊C₄	1	8	yes	—
921	C₄²	C₂×#518	1	8	yes	—
922	C₂³	#34171	1	1	yes	characteristic
923	C₂³	#34171	1	2	yes	—
924	C₂³	#34171	1	1	yes	characteristic
925	C₂³	#34406	1	1	yes	characteristic
926	C₂³	#34406	1	1	yes	characteristic
927	C₂³	#34406	1	1	yes	characteristic
928	C₂³	#34406	1	1	yes	characteristic
929	C₂³	#34406	1	2	yes	—
930	C₂³	#34406	1	1	yes	characteristic
931	C₂³	#34406	1	1	yes	characteristic
932	C₂³	#47794	1	2	yes	—
933	C₂³	#47794	1	2	yes	—
934	C₂³	#47794	1	2	yes	—
935	C₂³	#47794	1	2	yes	—
936	C₂³	#47796	1	2	yes	—
937	C₂³	#47796	1	2	yes	—
938	C₂³	#47796	1	2	yes	—
939	C₂³	#47796	1	2	yes	—
940	C₂³	C₂²×#518	1	1	yes	characteristic
941	C₂³	C₂×#3532	1	1	yes	characteristic
942	C₂³	C₂×#3542	1	2	yes	—
943	C₂³	C₂×#3533	1	1	yes	characteristic
944	C₂³	C₂×#3484	1	2	yes	—
945	C₂×C₄	#34171	1	1	yes	characteristic
946	C₂×C₄	#34171	1	1	yes	characteristic
947	C₂×C₄	#34171	1	2	yes	—
948	C₂×C₄	#34256	1	2	yes	—
949	C₂×C₄	#34256	1	2	yes	—
950	C₂×C₄	#34256	1	2	yes	—
951	C₂×C₄	#34256	1	2	yes	—
952	C₂×C₄	#34256	1	2	yes	—
953	C₂×C₄	#34256	1	2	yes	—
954	C₂×C₄	#34256	1	2	yes	—
955	C₂×C₄	#34256	1	2	yes	—
956	C₂×C₄	#34406	1	1	yes	characteristic
957	C₂×C₄	#34406	1	1	yes	characteristic
958	C₂×C₄	#34406	1	2	yes	—
959	C₂×C₄	#34406	1	2	yes	—
960	C₂×C₄	#34406	1	2	yes	—
961	C₂×C₄	#34415	1	2	yes	—
962	C₂×C₄	#34415	1	2	yes	—
963	C₂×C₄	#34415	1	2	yes	—
964	C₂×C₄	#34415	1	2	yes	—
965	C₂×C₄	#34415	1	2	yes	—
966	C₂×C₄	#34415	1	2	yes	—
967	C₂×C₄	#34415	1	2	yes	—
968	C₂×C₄	#34415	1	2	yes	—
969	C₂×C₄	#47794	1	2	yes	—
970	C₂×C₄	#47794	1	2	yes	—
971	C₂×C₄	#47794	1	2	yes	—
972	C₂×C₄	#47794	1	2	yes	—
973	C₂×C₄	#47794	1	2	yes	—
974	C₂×C₄	#47794	1	2	yes	—
975	C₂×C₄	#47794	1	2	yes	—
976	C₂×C₄	#47794	1	2	yes	—
977	C₂×C₄	#47794	1	2	yes	—
978	C₂×C₄	#47794	1	2	yes	—
979	C₂×C₄	#47794	1	2	yes	—
980	C₂×C₄	#47794	1	2	yes	—
981	C₂×C₄	#47796	1	2	yes	—
982	C₂×C₄	#47796	1	2	yes	—
983	C₂×C₄	#47796	1	2	yes	—
984	C₂×C₄	#47796	1	2	yes	—
985	C₂×C₄	#47796	1	2	yes	—
986	C₂×C₄	#47796	1	2	yes	—
987	C₂×C₄	#47796	1	2	yes	—
988	C₂×C₄	#47796	1	2	yes	—
989	C₂×C₄	#47796	1	2	yes	—
990	C₂×C₄	#47796	1	2	yes	—
991	C₂×C₄	#47796	1	2	yes	—
992	C₂×C₄	#47796	1	2	yes	—
993	C₂×C₄	C₂⁴×C₂²⋊C₄	1	1	yes	characteristic
994	C₂×C₄	C₂²×#518	1	1	yes	characteristic
995	C₂×C₄	C₂×C₄×H(5,𝔽₂)	1	2	yes	—
996	C₂×C₄	C₂×C₄×H(5,𝔽₂)	1	2	yes	—
997	C₂×C₄	C₂×#3532	1	1	yes	characteristic
998	C₂×C₄	C₂×#3542	1	2	yes	—
999	C₂×C₄	C₂×#3542	1	2	yes	—
1000	C₂×C₄	C₂×#3542	1	2	yes	—
1001	C₂×C₄	C₂×#3533	1	1	yes	characteristic
1002	C₂×C₄	C₂×#3551	1	2	yes	—
1003	C₂×C₄	C₂×#3549	1	2	yes	—
1004	C₂×C₄	C₂×#3484	1	2	yes	—
1005	C₂×C₄	C₂×#3484	1	2	yes	—
1006	C₂×C₄	C₂×#3496	1	2	yes	—
1007	C₂×C₄	C₂×#3496	1	2	yes	—
1008	C₂×C₄	C₂×#3485	1	2	yes	—
1009	C₂²	#581603	1	1	yes	characteristic
1010	C₂²	#581603	1	1	yes	characteristic
1011	C₂²	#581603	1	1	yes	characteristic
1012	C₂²	#581603	1	2	yes	—
1013	C₂²	#581603	1	2	yes	—
1014	C₂²	#581603	1	1	yes	characteristic
1015	C₂²	C₂×#34171	1	1	yes	characteristic
1016	C₂²	C₂×#34406	1	1	yes	characteristic
1017	C₂²	C₂×#34406	1	1	yes	characteristic
1018	C₂²	C₂×#47794	1	2	yes	—
1019	C₂²	C₂×#47796	1	2	yes	—
1020	C₄	#581603	1	2	yes	—
1021	C₄	#581603	1	2	yes	—
1022	C₄	#581603	1	2	yes	—
1023	C₄	#581603	1	2	yes	—
1024	C₄	C₂×#34256	1	2	yes	—
1025	C₄	C₂×#34415	1	2	yes	—
1026	C₄	C₂×#47794	1	2	yes	—
1027	C₄	C₂×#47796	1	2	yes	—
1028	C₂	#72213409	1	2	yes	direct product factor
1029	C₂	C₂×#581603	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	#581603
commutator	C₂²×C₄	C₂⁵×C₄
Frattini, cosocle	C₂³×C₄	C₂⁶
prime radical	C₂×#10575547	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁴×C₄ ◁ G
LECS	G ▷ C₂³×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#383149	C₂	semidirect
2. C₂×#383755	C₂	semidirect
3. C₂×#387441	C₂	semidirect
4. C₂×#363903	C₂	semidirect
5. C₂×#368855	C₂	semidirect
6. C₂×#364596	C₂	semidirect
7. C₂×#363996	C₂	semidirect
8. C₂×#386041	C₂	semidirect
9. C₂×#383753	C₂	semidirect
10. C₂×#391879	C₂	semidirect
11. C₂×#386039	C₂	semidirect
12. C₂×#368857	C₂	semidirect
13. C₂×#383145	C₂	semidirect
14. C₂×#364592	C₂	semidirect
15. C₂×#359513	C₂	semidirect
16. C₂×#359509	C₂	semidirect
18. C₂×#6376470	C₂	semidirect
19. C₂×#375718	C₂	semidirect
20. #72213409	C₂	direct (N × H)
23. #10575547	C₄	semidirect
25. C₂×#60806	C₄	semidirect
26. C₂×#60806	C₄	semidirect
27. C₂×#60799	C₄	semidirect
28. C₂×#60798	C₄	semidirect
37. C₂×#60182	C₂²	semidirect
38. C₂×#60168	C₂²	semidirect
42. #6376470	C₂²	semidirect
43. C₂×#21249	C₂²	semidirect
44. C₂×#21244	C₂²	semidirect
45. C₂×#21012	C₂²	semidirect
48. C₂×#21009	C₂²	semidirect
51. C₂×#21005	C₂²	semidirect
52. C₂×#21000	C₂²	semidirect
53. C₂×#20998	C₂²	semidirect
54. C₂²×#1904	C₂²	semidirect
55. C₂×#20995	C₂²	semidirect
56. C₂²×#1903	C₂²	semidirect
59. C₂×#20945	C₂²	semidirect
60. C₂×#20939	C₂²	semidirect
61. C₂×#20757	C₂²	semidirect
62. C₂×#20708	C₂²	semidirect
67. C₂×#20370	C₂²	semidirect
68. C₂×#20338	C₂²	semidirect
69. #391879	C₂²	semidirect
70. #387441	C₂²	semidirect
71. #386041	C₂²	semidirect
72. #386039	C₂²	semidirect
73. #383755	C₂²	semidirect
74. #383753	C₂²	semidirect
75. #383149	C₂²	semidirect
76. #383145	C₂²	semidirect
77. #375718	C₂²	semidirect
78. #368857	C₂²	semidirect
79. #368855	C₂²	semidirect
80. #364596	C₂²	semidirect
81. #364592	C₂²	semidirect
82. #363996	C₂²	semidirect
83. #363903	C₂²	semidirect
84. #359513	C₂²	semidirect
85. #359509	C₂²	semidirect
86. C₂×#11389	C₂²	semidirect
87. C₂×#11389	C₂²	semidirect
88. C₂×#11246	C₂²	semidirect
89. C₂×#11245	C₂²	semidirect
90. C₂×#11187	C₂²	semidirect
91. C₂×#11186	C₂²	semidirect
92. C₂×#11181	C₂²	semidirect
93. C₂×#11180	C₂²	semidirect
94. C₂×#11133	C₂²	semidirect
95. C₂×#11132	C₂²	semidirect
96. C₂×#11131	C₂²	semidirect
97. C₂×#11129	C₂²	semidirect
100. C₂×#11034	C₂²	semidirect
101. C₂×#11033	C₂²	semidirect
102. C₂×#11032	C₂²	semidirect
103. C₂×#11030	C₂²	semidirect
114. C₂×#10953	C₂²	semidirect
115. C₂×#10951	C₂²	semidirect
116. C₂×#10950	C₂²	semidirect
117. C₂×#10948	C₂²	semidirect
120. C₂×#10890	C₂²	semidirect
121. C₂×#10890	C₂²	semidirect
122. C₂×#10810	C₂²	semidirect
123. C₂×#10810	C₂²	semidirect
124. C₂×#10787	C₂²	semidirect
125. C₂×#10785	C₂²	semidirect
126. C₂×#10792	C₂²	semidirect
127. C₂×#10792	C₂²	semidirect
128. C₂×#10778	C₂²	semidirect
129. C₂×#10776	C₂²	semidirect
140. #62814	C₂×C₄	semidirect
142. C₂×#3455	C₂×C₄	semidirect
145. C₂²×#535	C₂×C₄	semidirect
146. C₂²×#535	C₂×C₄	semidirect
147. C₂²×#535	C₂×C₄	semidirect
153. C₂×#3444	C₂×C₄	semidirect
154. C₂³×#127	C₂×C₄	semidirect
155. C₂³×#124	C₂×C₄	semidirect
161. #60806	C₂×C₄	semidirect
162. #60806	C₂×C₄	semidirect
163. #60799	C₂×C₄	semidirect
164. #60798	C₂×C₄	semidirect
166. #60644	C₂×C₄	semidirect
173. C₂×#3153	C₂×C₄	semidirect
175. C₂×#3151	C₂×C₄	semidirect
176. #60619	C₂×C₄	semidirect
177. #60619	C₂×C₄	semidirect
180. C₂×#3140	C₂×C₄	semidirect
181. C₂×#3140	C₂×C₄	semidirect
182. C₂×#3138	C₂×C₄	semidirect
183. C₂×#3138	C₂×C₄	semidirect
184. #60426	C₂×C₄	semidirect
185. #60426	C₂×C₄	semidirect
188. C₂×#3040	C₂×C₄	semidirect
189. C₂×#3040	C₂×C₄	semidirect
190. C₂×#3038	C₂×C₄	semidirect
191. C₂×#3038	C₂×C₄	semidirect
192. #60359	C₂×C₄	semidirect
194. C₂×#3005	C₂×C₄	semidirect
195. C₂×#3005	C₂×C₄	semidirect
196. C₂×#3004	C₂×C₄	semidirect
197. C₂×#3003	C₂×C₄	semidirect
198. C₂×#3003	C₂×C₄	semidirect
199. C₂×#3003	C₂×C₄	semidirect
200. C₂×#3003	C₂×C₄	semidirect
202. #60182	C₂³	semidirect
203. #60168	C₂³	semidirect
204. #60124	C₂×C₄	semidirect
206. C₂×#2921	C₂×C₄	semidirect
207. C₂×#2920	C₂×C₄	semidirect
250. #21249	C₂³	semidirect
251. #21244	C₂³	semidirect
252. #21012	C₂³	semidirect
255. #21009	C₂³	semidirect
258. #21005	C₂³	semidirect
259. #21000	C₂³	semidirect
260. #20998	C₂³	semidirect
261. C₂×#1904	C₂³	semidirect
262. #20995	C₂³	semidirect
263. C₂×#1903	C₂³	semidirect
266. #20945	C₂³	semidirect
267. #20939	C₂³	semidirect
268. #20757	C₂³	semidirect
269. #20708	C₂³	semidirect
274. #20370	C₂³	semidirect
292. #20338	C₂³	semidirect
304. #11389	C₂³	semidirect
305. #11389	C₂³	semidirect
306. #11246	C₂³	semidirect
307. #11245	C₂³	semidirect
308. #11187	C₂³	semidirect
309. #11186	C₂³	semidirect
310. #11181	C₂³	semidirect
311. #11180	C₂³	semidirect
312. #11133	C₂³	semidirect
313. #11132	C₂³	semidirect
314. #11131	C₂³	semidirect
315. #11129	C₂³	semidirect
318. #11034	C₂³	semidirect
319. #11033	C₂³	semidirect
320. #11032	C₂³	semidirect
321. #11030	C₂³	semidirect
332. #10953	C₂³	semidirect
333. #10951	C₂³	semidirect
334. #10950	C₂³	semidirect
335. #10948	C₂³	semidirect
338. #10890	C₂³	semidirect
339. #10890	C₂³	semidirect
340. #10810	C₂³	semidirect
341. #10810	C₂³	semidirect
342. #10792	C₂³	semidirect
343. #10792	C₂³	semidirect
344. #10787	C₂³	semidirect
345. #10785	C₂³	semidirect
346. #10778	C₂³	semidirect
347. #10776	C₂³	semidirect
400. #3455	C₂²×C₄	semidirect
409. C₂×#535	C₂²×C₄	semidirect
410. C₂×#535	C₂²×C₄	semidirect
418. #3444	C₂²×C₄	semidirect
425. C₂²×#127	C₂²×C₄	semidirect
430. C₂²×#124	C₂²×C₄	semidirect
451. #3155	C₂²⋊C₄	semidirect
453. #3154	C₂²⋊C₄	semidirect
455. #3153	C₂²⋊C₄	semidirect
457. #3153	C₂²×C₄	semidirect
458. #3151	C₂²⋊C₄	semidirect
460. #3151	C₂²×C₄	semidirect
461. C₂×#497	C₂²⋊C₄	semidirect
462. C₂×#496	C₂²⋊C₄	semidirect
463. C₂×#496	C₂²⋊C₄	semidirect
464. C₂×#495	C₂²⋊C₄	semidirect
465. C₂×#493	C₂²⋊C₄	semidirect
466. C₂×#492	C₂²⋊C₄	semidirect
467. #3140	C₂²×C₄	semidirect
468. #3140	C₂²×C₄	semidirect
469. #3138	C₂²×C₄	semidirect
470. #3138	C₂²×C₄	semidirect
471. #3040	C₂²×C₄	semidirect
472. #3040	C₂²×C₄	semidirect
473. #3038	C₂²×C₄	semidirect
474. #3038	C₂²×C₄	semidirect
475. #3005	C₂²×C₄	semidirect
476. #3005	C₂²×C₄	semidirect
477. #3004	C₂²×C₄	semidirect
478. #3003	C₂²×C₄	semidirect
479. #3003	C₂²×C₄	semidirect
480. #3003	C₂²×C₄	semidirect
481. #2921	C₂²×C₄	semidirect
482. #2920	C₂²×C₄	semidirect
615. C₂×#137	C₂×C₂²⋊C₄	semidirect
616. C₂×#137	C₂×C₂²⋊C₄	semidirect
622. C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	semidirect
623. C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	semidirect
630. C₂×#135	C₂×C₂²⋊C₄	semidirect
632. C₂²×Q₁₆	C₂×C₂²⋊C₄	semidirect
635. C₂²×SD₁₆	C₂×C₂²⋊C₄	semidirect
636. C₂²×SD₁₆	C₂×C₂²⋊C₄	semidirect
640. C₂²×D₈	C₂×C₂²⋊C₄	semidirect
658. #536	C₂×C₂²⋊C₄	semidirect
661. #535	C₂×C₂²⋊C₄	semidirect
665. #532	C₂×C₂²⋊C₄	semidirect
667. C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	semidirect
670. C₂×#127	C₂×C₂²⋊C₄	semidirect
677. C₂×#124	C₂×C₂²⋊C₄	semidirect
706. #497	C₂×C₂²⋊C₄	semidirect
707. #496	C₂×C₂²⋊C₄	semidirect
708. #496	C₂×C₂²⋊C₄	semidirect
709. #495	C₂×C₂²⋊C₄	semidirect
710. #493	C₂×C₂²⋊C₄	semidirect
711. #492	C₂×C₂²⋊C₄	semidirect
721. #405	C₂×C₂²⋊C₄	semidirect
723. C₄×M₁₆	C₂×C₂²⋊C₄	semidirect
726. C₂×#97	C₂×C₂²⋊C₄	semidirect
727. C₂×C₄×C₈	C₂×C₂²⋊C₄	semidirect
789. C₂×Q₁₆	C₂²×C₂²⋊C₄	semidirect
791. C₂×SD₁₆	C₂²×C₂²⋊C₄	semidirect
792. C₂×SD₁₆	C₂²×C₂²⋊C₄	semidirect
794. C₂×D₈	C₂²×C₂²⋊C₄	semidirect
804. C₄⋊Q₈	C₂²×C₂²⋊C₄	semidirect
806. #127	C₂²×C₂²⋊C₄	semidirect
808. #124	C₂²×C₂²⋊C₄	semidirect
821. #97	C₂²×C₂²⋊C₄	semidirect
822. C₄×C₈	C₂²×C₂²⋊C₄	semidirect
1028. C₂	#72213409	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×#383149	2
C₂×#383755	2
C₂×#387441	2
C₂×#363903	2
C₂×#368855	2
C₂×#364596	2
C₂×#363996	2
C₂×#386041	2
C₂×#383753	2
C₂×#391879	2
C₂×#386039	2
C₂×#368857	2
C₂×#383145	2
C₂×#364592	2
C₂×#359513	2
C₂×#359509	2
C₂×#10575547	2
C₂×#6376470	2
C₂×#375718	2
#72213409	2

Subgroups — C2×#72213409 #72251329

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#72213409 #72251329