Subgroups — C₂×C₄×#23900 #72342216

Order 2048.

At least 7440 conjugacy classes of subgroups; only the 9560 normal subgroups are shown.

The subgroup lattice has 933 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×#375865	C₂	1	4	yes	maximal, complemented
2	C₂×#368021	C₂	1	2	yes	maximal, complemented
3	C₂×C₄×#1898	C₂	1	2	yes	maximal, complemented
4	C₂×#368077	C₂	1	2	yes	maximal, complemented
5	C₂×C₄×#1889	C₂	1	2	yes	maximal, complemented
6	C₂×#373686	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₄×#2021	C₂	1	4	yes	maximal, complemented
8	C₂×C₄×#1781	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₄×#2846	C₂	1	2	yes	maximal, complemented
10	C₂²×C₄×B(4,𝔽₂)	C₂	1	2	yes	maximal, complemented
11	C₂³×C₄×#120	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#364513	C₂	1	2	yes	maximal, complemented
13	C₂×#359552	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#359501	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×#23900	C₂	1	32	yes	maximal, direct product factor
16	C₂×C₄×#3484	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#364410	C₂	1	2	yes	maximal, complemented
18	C₂²×#23900	C₂	1	1	yes	maximal, characteristic
19	C₂⁷×C₄	C₂²	1	1	yes	characteristic, complemented
20	C₂²×#3484	C₂²	1	1	yes	characteristic
21	C₂⁴×#120	C₂²	1	1	yes	characteristic
22	C₂²×C₄×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
23	C₂⁴×C₄×D₄	C₂²	1	1	yes	characteristic
24	C₂³×B(4,𝔽₂)	C₂²	1	2	yes	—
25	C₂²×#2846	C₂²	1	2	yes	—
26	C₄×#3484	C₂²	1	16	yes	complemented
27	C₂×#34264	C₂²	1	2	yes	complemented
28	C₂×#34198	C₂²	1	2	yes	—
29	C₂×#34256	C₂²	1	1	yes	characteristic, complemented
30	C₂×#34248	C₂²	1	1	yes	characteristic, complemented
31	C₂×#34171	C₂²	1	1	yes	characteristic
32	C₂×C₄×#534	C₂²	1	2	yes	complemented
33	C₂²×C₄×#120	C₂²	1	2	yes	—
34	C₂²×C₄×#120	C₂²	1	2	yes	—
35	C₂²×C₄×#120	C₂²	1	2	yes	—
36	C₂²×C₄×#120	C₂²	1	2	yes	complemented
37	C₂²×C₄×#120	C₂²	1	2	yes	complemented
38	C₂²×C₄×#120	C₂²	1	4	yes	complemented
39	C₂²×C₄×#120	C₂²	1	16	yes	complemented
40	C₂³×#386	C₂²	1	1	yes	characteristic
41	C₂³×#385	C₂²	1	1	yes	characteristic, complemented
42	C₂³×#379	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₄×#518	C₂²	1	1	yes	characteristic, complemented
44	C₂³×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
45	C₂×#23900	C₄	1	32	yes	direct product factor
46	C₂×#23900	C₂²	1	16	yes	—
47	C₂²×#2021	C₂²	1	4	yes	—
48	C₂×C₄×B(4,𝔽₂)	C₂²	1	32	yes	complemented
49	C₂²×#1898	C₂²	1	2	yes	—
50	C₂²×#1898	C₂²	1	2	yes	—
51	C₂²×#1889	C₂²	1	2	yes	—
52	C₂²×#1889	C₂²	1	2	yes	—
53	C₂²×#1889	C₂²	1	2	yes	—
54	C₂²×#1889	C₂²	1	4	yes	complemented
55	C₂²×#1867	C₂²	1	2	yes	complemented
56	C₂²×#1867	C₂²	1	4	yes	complemented
57	C₂²×#1790	C₂²	1	2	yes	complemented
58	C₂²×#1781	C₂²	1	1	yes	characteristic
59	C₂²×#1781	C₂²	1	1	yes	characteristic
60	C₂²×C₄×#99	C₂²	1	4	yes	complemented
61	C₂²×C₄×#99	C₂²	1	2	yes	complemented
62	C₂²×C₄×#99	C₂²	1	2	yes	complemented
63	C₄×#2846	C₂²	1	32	yes	complemented
64	C₂×#14694	C₂²	1	2	yes	—
65	C₂×#14694	C₂²	1	4	yes	complemented
66	C₂×#14693	C₂²	1	2	yes	complemented
67	C₂×#14693	C₂²	1	4	yes	complemented
68	C₂×#14679	C₂²	1	2	yes	complemented
69	C₂×C₄×#379	C₂²	1	4	yes	complemented
70	C₂×C₄×#379	C₂²	1	2	yes	complemented
71	#375865	C₂²	1	64	yes	complemented
72	#373686	C₂²	1	16	yes	complemented
73	#368077	C₂²	1	32	yes	complemented
74	#368021	C₂²	1	32	yes	complemented
75	#364513	C₂²	1	32	yes	complemented
76	#364410	C₂²	1	32	yes	complemented
77	#359552	C₂²	1	16	yes	complemented
78	#359501	C₂²	1	16	yes	complemented
79	C₄×#2021	C₂²	1	64	yes	complemented
80	C₂×#11344	C₂²	1	4	yes	complemented
81	C₂×#11087	C₂²	1	4	yes	complemented
82	C₂×#11087	C₂²	1	4	yes	complemented
83	C₂×#11069	C₂²	1	4	yes	complemented
84	C₂×#10991	C₂²	1	4	yes	complemented
85	C₂×#10991	C₂²	1	4	yes	complemented
86	C₂×#10995	C₂²	1	4	yes	complemented
87	C₄×#1781	C₂²	1	16	yes	complemented
88	C₄×#1889	C₂²	1	32	yes	complemented
89	C₄×#1898	C₂²	1	32	yes	complemented
90	C₂×#10960	C₂²	1	4	yes	complemented
91	C₂×#10935	C₂²	1	4	yes	complemented
92	C₂×#10918	C₂²	1	4	yes	complemented
93	C₂×#10912	C₂²	1	4	yes	complemented
94	C₂×#10745	C₂²	1	2	yes	complemented
95	C₂×#10745	C₂²	1	2	yes	complemented
96	C₂×#10735	C₂²	1	2	yes	complemented
97	C₂×#10735	C₂²	1	2	yes	complemented
98	C₂×#10761	C₂²	1	2	yes	complemented
99	C₂×#10761	C₂²	1	2	yes	complemented
100	C₂×#10725	C₂²	1	2	yes	complemented
101	C₂×C₄×#342	C₂²	1	4	yes	complemented
102	C₂⁸	C₂³	1	1	yes	characteristic
103	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
104	C₂⁵×D₄	C₂³	1	1	yes	characteristic
105	C₂⁶×C₄	D₄	1	1	yes	characteristic, complemented
106	C₂⁶×C₄	C₂³	1	2	yes	—
107	C₂⁶×C₄	C₂³	1	1	yes	characteristic
108	C₂⁶×C₄	C₂³	1	2	yes	—
109	C₂⁶×C₄	C₂³	1	1	yes	characteristic
110	C₂⁶×C₄	C₂³	1	8	yes	complemented
111	C₂×#3484	C₂×C₄	1	16	yes	complemented
112	C₂×#3484	C₂³	1	8	yes	—
113	C₂²×#534	C₂³	1	2	yes	—
114	C₂³×#120	C₂×C₄	1	16	yes	complemented
115	C₂³×#120	C₂³	1	2	yes	—
116	C₂³×#120	C₂³	1	8	yes	—
117	C₂³×#120	C₂³	1	4	yes	—
118	C₂³×#120	C₂³	1	2	yes	—
119	C₂³×#120	C₂³	1	2	yes	—
120	C₂×C₄×H(5,𝔽₂)	C₂³	1	8	yes	complemented
121	C₂²×#518	C₂³	1	1	yes	characteristic
122	C₂²×#518	C₂³	1	2	yes	—
123	C₂²×#518	C₂³	1	1	yes	characteristic
124	C₂²×#518	C₂³	1	1	yes	characteristic
125	C₂³×C₄×D₄	D₄	1	1	yes	characteristic, complemented
126	C₂³×C₄×D₄	D₄	1	1	yes	characteristic, complemented
127	C₂³×C₄×D₄	D₄	1	1	yes	characteristic, complemented
128	C₂³×C₄×D₄	D₄	1	1	yes	characteristic, complemented
129	C₂³×C₄×D₄	D₄	1	8	yes	complemented
130	C₂³×C₄×D₄	D₄	1	4	yes	complemented
131	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
132	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
133	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
134	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
135	C₂³×C₄×D₄	C₂³	1	2	yes	—
136	C₂³×C₄×D₄	C₂³	1	8	yes	—
137	C₂⁴×C₄⋊C₄	D₄	1	1	yes	characteristic, complemented
138	C₂⁴×C₂²⋊C₄	D₄	1	1	yes	characteristic, complemented
139	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
140	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
141	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
142	C₂⁴×C₄²	D₄	1	1	yes	characteristic, complemented
143	C₂²×B(4,𝔽₂)	C₂×C₄	1	32	yes	complemented
144	C₂²×B(4,𝔽₂)	C₂³	1	16	yes	—
145	C₂³×#99	C₂³	1	2	yes	—
146	C₂³×#99	C₂³	1	4	yes	—
147	C₂³×#99	C₂³	1	4	yes	—
148	C₂³×#99	C₂³	1	2	yes	—
149	C₂³×#99	C₂³	1	2	yes	—
150	C₂³×#99	C₂³	1	2	yes	—
151	C₂×#2846	C₂×C₄	1	32	yes	complemented
152	C₂×#2846	C₂³	1	16	yes	—
153	#34264	C₂³	1	16	yes	complemented
154	#34256	C₂³	1	8	yes	complemented
155	#34248	C₂³	1	8	yes	complemented
156	#34198	C₂³	1	16	yes	—
157	#34171	C₂³	1	8	yes	—
158	C₄×#534	C₂³	1	16	yes	complemented
159	C₂×#2315	C₂³	1	2	yes	—
160	C₂×#2308	C₂³	1	2	yes	—
161	C₂×#2308	C₂³	1	2	yes	—
162	C₂×C₄×#120	D₄	1	16	yes	complemented
163	C₂×C₄×#120	D₄	1	32	yes	complemented
164	C₂×C₄×#120	C₂³	1	16	yes	—
165	C₂×C₄×#120	C₂³	1	16	yes	—
166	C₂×C₄×#120	C₂³	1	16	yes	—
167	C₂×C₄×#120	C₂³	1	16	yes	complemented
168	C₂×C₄×#120	C₂³	1	16	yes	complemented
169	C₂×C₄×#120	C₂³	1	32	yes	complemented
170	C₂²×#386	D₄	1	4	yes	complemented
171	C₂²×#386	C₂³	1	2	yes	—
172	C₂²×#386	C₂³	1	8	yes	—
173	C₂²×#386	C₂³	1	4	yes	—
174	C₂²×#386	C₂³	1	2	yes	—
175	C₂²×#386	C₂³	1	2	yes	—
176	C₂²×#385	D₄	1	4	yes	complemented
177	C₂²×#385	C₂³	1	2	yes	—
178	C₂²×#385	C₂³	1	4	yes	—
179	C₂²×#385	C₂³	1	2	yes	—
180	C₂²×#385	C₂³	1	2	yes	—
181	C₂²×#385	C₂³	1	8	yes	complemented
182	C₂²×#379	C₂³	1	2	yes	—
183	C₂²×#379	C₂³	1	2	yes	—
184	C₂²×#379	C₂³	1	4	yes	—
185	C₂²×#379	C₂³	1	4	yes	—
186	C₂²×#379	C₂³	1	4	yes	—
187	C₂²×#379	C₂³	1	2	yes	—
188	C₂²×#379	C₂³	1	2	yes	—
189	C₂²×#379	C₂³	1	2	yes	—
190	C₂²×#379	C₂³	1	8	yes	complemented
191	C₄×#518	C₂³	1	8	yes	complemented
192	C₂×#2273	C₂³	1	2	yes	—
193	C₂²×C₄×C₂²⋊C₄	D₄	1	4	yes	complemented
194	C₂²×C₄×C₂²⋊C₄	C₂³	1	2	yes	—
195	C₂²×C₄×C₂²⋊C₄	C₂³	1	4	yes	—
196	C₂²×C₄×C₂²⋊C₄	C₂³	1	2	yes	—
197	C₂²×C₄×C₂²⋊C₄	C₂³	1	2	yes	—
198	C₂²×C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
199	#23900	C₂×C₄	1	256	yes	direct product factor
200	C₂×#2021	C₂×C₄	1	64	yes	complemented
201	C₂×#2021	C₂³	1	32	yes	—
202	C₂×#1898	C₂×C₄	1	32	yes	complemented
203	C₂×#1898	C₂³	1	16	yes	—
204	C₂×#1898	C₂³	1	16	yes	—
205	C₂×#1889	C₂×C₄	1	32	yes	complemented
206	C₂×#1889	C₂³	1	16	yes	—
207	C₂×#1889	C₂³	1	16	yes	—
208	C₂×#1889	C₂³	1	16	yes	—
209	C₂×#1889	C₂³	1	32	yes	complemented
210	C₂×#1867	C₂³	1	32	yes	complemented
211	C₂×#1867	C₂³	1	16	yes	complemented
212	C₂×#1790	C₂³	1	16	yes	complemented
213	C₂×#1781	C₂×C₄	1	16	yes	complemented
214	C₂×#1781	C₂³	1	8	yes	—
215	C₂×#1781	C₂³	1	8	yes	—
216	C₂×C₄×#99	C₂³	1	32	yes	complemented
217	C₂×C₄×#99	C₂³	1	16	yes	complemented
218	C₂×C₄×#99	C₂³	1	16	yes	complemented
219	C₂²×#342	C₂³	1	4	yes	—
220	C₂²×#342	C₂³	1	4	yes	—
221	C₂²×#342	C₂³	1	4	yes	—
222	C₂²×#342	C₂³	1	4	yes	—
223	C₂²×#342	C₂³	1	4	yes	—
224	C₂²×#342	C₂³	1	4	yes	—
225	C₂²×#342	C₂³	1	4	yes	—
226	C₂²×#342	C₂³	1	4	yes	—
227	#14694	C₂³	1	16	yes	—
228	#14694	C₂³	1	32	yes	complemented
229	#14693	C₂³	1	32	yes	complemented
230	#14693	C₂³	1	16	yes	complemented
231	#14679	C₂³	1	16	yes	complemented
232	C₄×#379	C₂³	1	32	yes	complemented
233	C₄×#379	C₂³	1	16	yes	complemented
234	C₂×C₂²⋊#95	C₂³	1	4	yes	—
235	C₂×C₂²⋊#95	C₂³	1	4	yes	—
236	C₂×C₂²⋊#95	C₂³	1	4	yes	—
237	#11344	C₂³	1	32	yes	complemented
238	#11087	C₂³	1	32	yes	complemented
239	#11087	C₂³	1	32	yes	complemented
240	#11069	C₂³	1	32	yes	complemented
241	#10995	C₂³	1	32	yes	complemented
242	#10991	C₂³	1	32	yes	complemented
243	#10991	C₂³	1	32	yes	complemented
244	#10960	C₂³	1	32	yes	complemented
245	#10935	C₂³	1	32	yes	complemented
246	#10918	C₂³	1	32	yes	complemented
247	#10912	C₂³	1	32	yes	complemented
248	#10761	C₂³	1	16	yes	complemented
249	#10761	C₂³	1	16	yes	complemented
250	#10745	C₂³	1	16	yes	complemented
251	#10745	C₂³	1	16	yes	complemented
252	#10735	C₂³	1	16	yes	complemented
253	#10735	C₂³	1	16	yes	complemented
254	#10725	C₂³	1	16	yes	complemented
255	C₄×#342	C₂³	1	32	yes	complemented
256	C₂⁷	C₂²×C₄	1	8	yes	complemented
257	C₂⁷	C₂×D₄	1	1	yes	characteristic
258	C₂⁷	C₂⁴	1	2	yes	—
259	C₂⁷	C₂⁴	1	4	yes	—
260	C₂⁷	C₂⁴	1	1	yes	characteristic
261	C₂²×H(5,𝔽₂)	C₂²×C₄	1	8	yes	complemented
262	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	—
263	C₂⁴×D₄	C₂²×C₄	1	8	yes	—
264	C₂⁴×D₄	C₂×D₄	1	4	yes	—
265	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
266	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
267	C₂⁴×D₄	C₂×D₄	1	4	yes	—
268	C₂⁴×D₄	#41	1	8	yes	—
269	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
270	C₂⁴×D₄	C₂⁴	1	2	yes	—
271	C₂⁴×D₄	C₂⁴	1	4	yes	—
272	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
273	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
274	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
275	C₂⁵×C₄	C₂×D₄	1	4	yes	—
276	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
277	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
278	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
279	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
280	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
281	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
282	C₂⁵×C₄	C₂×D₄	1	4	yes	—
283	C₂⁵×C₄	C₂×D₄	1	8	yes	—
284	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
285	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
286	C₂⁵×C₄	C₂×D₄	1	4	yes	—
287	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
288	C₂⁵×C₄	C₂×D₄	1	16	yes	complemented
289	C₂⁵×C₄	C₂×D₄	1	2	yes	complemented
290	C₂⁵×C₄	C₂×D₄	1	8	yes	complemented
291	C₂⁵×C₄	C₂⁴	1	2	yes	—
292	C₂⁵×C₄	C₂⁴	1	8	yes	—
293	C₂⁵×C₄	C₂⁴	1	4	yes	—
294	C₂⁵×C₄	C₂⁴	1	8	yes	—
295	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
296	C₂⁵×C₄	C₂⁴	1	4	yes	—
297	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
298	#3484	C₂²×C₄	1	64	yes	complemented
299	C₂×#534	C₂²×C₄	1	16	yes	complemented
300	C₂×#534	C₂⁴	1	8	yes	—
301	C₂²×#120	C₂²×C₄	1	16	yes	—
302	C₂²×#120	C₂²×C₄	1	16	yes	—
303	C₂²×#120	C₂²×C₄	1	16	yes	complemented
304	C₂²×#120	C₂²×C₄	1	32	yes	complemented
305	C₂²×#120	C₂²×C₄	1	64	yes	complemented
306	C₂²×#120	C₂×D₄	1	16	yes	—
307	C₂²×#120	C₂×D₄	1	8	yes	—
308	C₂²×#120	#41	1	16	yes	—
309	C₂²×#120	#41	1	16	yes	—
310	C₂²×#120	C₂⁴	1	8	yes	—
311	C₂²×#120	C₂⁴	1	16	yes	—
312	C₂²×#120	C₂⁴	1	8	yes	—
313	C₂²×#120	C₂⁴	1	8	yes	—
314	C₂×#518	C₂²×C₄	1	8	yes	complemented
315	C₂×#518	C₂⁴	1	4	yes	—
316	C₂×#518	C₂⁴	1	4	yes	—
317	C₂×#518	C₂⁴	1	4	yes	—
318	C₂×#518	C₂⁴	1	8	yes	—
319	C₂²×C₄×D₄	C₂×D₄	1	16	yes	—
320	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
321	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
322	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
323	C₂²×C₄×D₄	C₂×D₄	1	4	yes	—
324	C₂²×C₄×D₄	C₂×D₄	1	8	yes	complemented
325	C₂²×C₄×D₄	C₂×D₄	1	8	yes	complemented
326	C₂²×C₄×D₄	C₂×D₄	1	8	yes	complemented
327	C₂²×C₄×D₄	C₂×D₄	1	8	yes	complemented
328	C₂²×C₄×D₄	C₂×D₄	1	8	yes	complemented
329	C₂²×C₄×D₄	C₂×D₄	1	32	yes	complemented
330	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
331	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
332	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
333	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
334	C₂²×C₄×D₄	C₂⁴	1	8	yes	—
335	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
336	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
337	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
338	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
339	C₂³×C₄⋊C₄	C₂×D₄	1	2	yes	complemented
340	C₂³×C₄⋊C₄	C₂×D₄	1	8	yes	complemented
341	C₂³×C₄⋊C₄	C₂×D₄	1	4	yes	complemented
342	C₂³×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
343	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
344	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
345	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
346	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
347	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
348	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	—
349	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	—
350	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
351	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	—
352	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	—
353	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
354	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
355	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
356	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
357	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
358	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
359	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
360	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
361	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
362	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
363	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
364	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
365	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
366	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
367	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
368	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
369	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
370	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
371	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
372	C₂³×C₄²	C₂×D₄	1	2	yes	complemented
373	C₂³×C₄²	C₂×D₄	1	8	yes	complemented
374	C₂³×C₄²	C₂×D₄	1	4	yes	complemented
375	C₂×B(4,𝔽₂)	C₂²×C₄	1	128	yes	complemented
376	C₂²×#99	C₂²×C₄	1	16	yes	complemented
377	C₂²×#99	C₂²×C₄	1	32	yes	complemented
378	C₂²×#99	C₂²×C₄	1	16	yes	complemented
379	C₂²×#99	C₂⁴	1	8	yes	—
380	C₂²×#99	C₂⁴	1	16	yes	—
381	C₂²×#99	C₂⁴	1	8	yes	—
382	C₂²×#99	C₂⁴	1	16	yes	—
383	C₂²×#99	C₂⁴	1	8	yes	—
384	C₂²×#99	C₂⁴	1	8	yes	—
385	#2846	C₂²×C₄	1	128	yes	complemented
386	#2315	C₂⁴	1	8	yes	—
387	#2308	C₂⁴	1	8	yes	—
388	#2308	C₂⁴	1	8	yes	—
389	C₄×#120	C₂×D₄	1	128	yes	complemented
390	C₂×#386	C₂×D₄	1	16	yes	—
391	C₂×#386	C₂×D₄	1	8	yes	complemented
392	C₂×#386	C₂×D₄	1	32	yes	complemented
393	C₂×#386	C₂⁴	1	8	yes	—
394	C₂×#386	C₂⁴	1	16	yes	—
395	C₂×#386	C₂⁴	1	8	yes	—
396	C₂×#386	C₂⁴	1	8	yes	—
397	C₂×#385	C₂×D₄	1	16	yes	complemented
398	C₂×#385	C₂×D₄	1	8	yes	complemented
399	C₂×#385	C₂×D₄	1	32	yes	complemented
400	C₂×#385	C₂⁴	1	8	yes	—
401	C₂×#385	C₂⁴	1	16	yes	—
402	C₂×#385	C₂⁴	1	8	yes	—
403	C₂×#385	C₂⁴	1	8	yes	—
404	C₂×#379	C₂²×C₄	1	16	yes	complemented
405	C₂×#379	C₂²×C₄	1	32	yes	complemented
406	C₂×#379	C₂×D₄	1	8	yes	—
407	C₂×#379	C₂×D₄	1	16	yes	complemented
408	C₂×#379	C₂⁴	1	8	yes	—
409	C₂×#379	C₂⁴	1	8	yes	—
410	C₂×#379	C₂⁴	1	16	yes	—
411	C₂×#379	C₂⁴	1	16	yes	—
412	C₂×#379	C₂⁴	1	16	yes	—
413	C₂×#379	C₂⁴	1	8	yes	—
414	C₂×#379	C₂⁴	1	8	yes	—
415	C₂×#379	C₂⁴	1	8	yes	—
416	#2273	C₂⁴	1	8	yes	—
417	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
418	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
419	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	32	yes	complemented
420	C₂×C₄×C₂²⋊C₄	C₂⁴	1	8	yes	—
421	C₂×C₄×C₂²⋊C₄	C₂⁴	1	16	yes	—
422	C₂×C₄×C₂²⋊C₄	C₂⁴	1	8	yes	—
423	C₂×C₄×C₂²⋊C₄	C₂⁴	1	8	yes	—
424	C₂²×#95	C₂×D₄	1	4	yes	complemented
425	C₂²×#95	C₂×D₄	1	4	yes	complemented
426	C₂²×#95	C₂×D₄	1	4	yes	complemented
427	#2021	C₂²×C₄	1	256	yes	complemented
428	#1898	C₂²×C₄	1	128	yes	complemented
429	#1889	C₂²×C₄	1	128	yes	complemented
430	#1781	C₂²×C₄	1	64	yes	complemented
431	C₂×#342	C₂²×C₄	1	32	yes	complemented
432	C₂×#342	C₂⁴	1	16	yes	—
433	C₂×#342	C₂⁴	1	16	yes	—
434	C₂×#342	C₂⁴	1	16	yes	—
435	C₂×#342	C₂⁴	1	16	yes	—
436	C₂×#342	C₂⁴	1	16	yes	—
437	C₂×#342	C₂⁴	1	16	yes	—
438	C₂×#342	C₂⁴	1	16	yes	—
439	C₂×#342	C₂⁴	1	16	yes	—
440	C₂²⋊#95	C₂⁴	1	16	yes	—
441	C₂²⋊#95	C₂⁴	1	16	yes	—
442	C₂²⋊#95	C₂⁴	1	16	yes	—
443	C₂⁶	C₄×D₄	1	8	yes	complemented
444	C₂⁶	C₂³×C₄	1	8	yes	—
445	C₂⁶	C₂³×C₄	1	4	yes	—
446	C₂⁶	C₂³×C₄	1	16	yes	complemented
447	C₂⁶	C₂²×D₄	1	1	yes	characteristic
448	C₂⁶	C₂²×D₄	1	4	yes	—
449	C₂⁶	C₂²×D₄	1	1	yes	characteristic
450	C₂⁶	C₂²×D₄	1	8	yes	—
451	C₂⁶	C₂²×D₄	1	2	yes	—
452	C₂⁶	C₂²×D₄	1	4	yes	—
453	C₂⁶	C₂²×D₄	1	4	yes	—
454	C₂⁶	C₂²×D₄	1	1	yes	characteristic
455	C₂⁶	C₂²×D₄	1	2	yes	—
456	C₂⁶	C₂²×D₄	1	1	yes	characteristic
457	C₂⁶	C₂×#41	1	8	yes	—
458	C₂⁶	C₂×#41	1	8	yes	—
459	C₂⁶	C₂×#41	1	4	yes	—
460	C₂⁶	C₂⁵	1	4	yes	—
461	C₂⁶	C₂⁵	1	2	yes	—
462	C₂⁶	C₂⁵	1	1	yes	characteristic
463	C₂×H(5,𝔽₂)	C₂³×C₄	1	16	yes	complemented
464	C₂³×D₄	C₄×D₄	1	8	yes	complemented
465	C₂³×D₄	C₄×D₄	1	8	yes	complemented
466	C₂³×D₄	C₄×D₄	1	32	yes	complemented
467	C₂³×D₄	C₄×D₄	1	32	yes	complemented
468	C₂³×D₄	C₂³×C₄	1	4	yes	—
469	C₂³×D₄	C₂³×C₄	1	4	yes	—
470	C₂³×D₄	C₂³×C₄	1	8	yes	—
471	C₂³×D₄	C₂³×C₄	1	16	yes	—
472	C₂³×D₄	C₂²×D₄	1	8	yes	—
473	C₂³×D₄	C₂²×D₄	1	2	yes	—
474	C₂³×D₄	C₂²×D₄	1	4	yes	—
475	C₂³×D₄	C₂²×D₄	1	4	yes	—
476	C₂³×D₄	C₂²×D₄	1	4	yes	—
477	C₂³×D₄	C₂²×D₄	1	2	yes	—
478	C₂³×D₄	C₂²×D₄	1	16	yes	—
479	C₂³×D₄	C₂×#41	1	4	yes	—
480	C₂³×D₄	C₂×#41	1	4	yes	—
481	C₂³×D₄	C₂×#41	1	8	yes	—
482	C₂³×D₄	C₂×#41	1	16	yes	—
483	C₂³×D₄	C₂×#41	1	8	yes	—
484	C₂³×D₄	C₂⁵	1	2	yes	—
485	C₂³×D₄	C₂⁵	1	4	yes	—
486	C₂³×D₄	C₂⁵	1	2	yes	—
487	C₂⁴×C₄	C₄×D₄	1	8	yes	complemented
488	C₂⁴×C₄	#120	1	2	yes	—
489	C₂⁴×C₄	#120	1	4	yes	—
490	C₂⁴×C₄	#120	1	2	yes	—
491	C₂⁴×C₄	#120	1	4	yes	—
492	C₂⁴×C₄	#120	1	4	yes	—
493	C₂⁴×C₄	#120	1	16	yes	—
494	C₂⁴×C₄	#120	1	2	yes	—
495	C₂⁴×C₄	#120	1	4	yes	—
496	C₂⁴×C₄	#120	1	2	yes	—
497	C₂⁴×C₄	#120	1	16	yes	—
498	C₂⁴×C₄	#120	1	4	yes	—
499	C₂⁴×C₄	#120	1	4	yes	—
500	C₂⁴×C₄	#120	1	8	yes	complemented
501	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
502	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
503	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
504	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
505	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
506	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
507	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
508	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
509	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
510	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
511	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
512	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
513	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
514	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
515	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
516	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
517	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
518	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
519	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
520	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
521	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
522	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
523	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
524	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
525	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
526	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
527	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
528	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
529	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
530	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
531	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
532	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
533	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
534	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
535	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
536	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
537	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
538	C₂⁴×C₄	C₂²×D₄	1	32	yes	complemented
539	C₂⁴×C₄	C₂²×D₄	1	8	yes	complemented
540	C₂⁴×C₄	H(5,𝔽₂)	1	8	yes	—
541	C₂⁴×C₄	C₂⁵	1	4	yes	—
542	C₂⁴×C₄	C₂⁵	1	2	yes	—
543	C₂⁴×C₄	C₂⁵	1	2	yes	—
544	#534	C₂³×C₄	1	32	yes	complemented
545	C₂×#120	C₄×D₄	1	128	yes	complemented
546	C₂×#120	C₄×D₄	1	64	yes	complemented
547	C₂×#120	C₂³×C₄	1	32	yes	—
548	C₂×#120	C₂³×C₄	1	32	yes	—
549	C₂×#120	C₂³×C₄	1	32	yes	complemented
550	C₂×#120	C₂³×C₄	1	64	yes	complemented
551	C₂×#120	C₂²×D₄	1	32	yes	—
552	C₂×#120	C₂×#41	1	32	yes	—
553	C₂×#120	C₂×#41	1	32	yes	—
554	#518	C₂³×C₄	1	16	yes	complemented
555	C₂×C₄×D₄	#120	1	32	yes	complemented
556	C₂×C₄×D₄	C₂²×D₄	1	32	yes	—
557	C₂²×C₄⋊C₄	#120	1	8	yes	complemented
558	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
559	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
560	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
561	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
562	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	complemented
563	C₂²×C₄⋊C₄	C₂²×D₄	1	16	yes	complemented
564	C₂²×C₂²⋊C₄	C₄×D₄	1	32	yes	complemented
565	C₂²×C₂²⋊C₄	#120	1	8	yes	complemented
566	C₂²×C₂²⋊C₄	C₂³×C₄	1	16	yes	—
567	C₂²×C₂²⋊C₄	C₂³×C₄	1	8	yes	—
568	C₂²×C₂²⋊C₄	C₂³×C₄	1	8	yes	—
569	C₂²×C₂²⋊C₄	C₂³×C₄	1	16	yes	complemented
570	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
571	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
572	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
573	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
574	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
575	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
576	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
577	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
578	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
579	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
580	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
581	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
582	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
583	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
584	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
585	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
586	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
587	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	complemented
588	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
589	C₂²×C₂²⋊C₄	C₂×#41	1	8	yes	—
590	C₂²×C₂²⋊C₄	C₂×#41	1	8	yes	—
591	C₂²×C₂²⋊C₄	C₂⁵	1	8	yes	—
592	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
593	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
594	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
595	C₂²×C₂²⋊C₄	C₂⁵	1	8	yes	—
596	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
597	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
598	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
599	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
600	C₂²×C₄²	#120	1	8	yes	complemented
601	C₂²×C₄²	C₂²×D₄	1	4	yes	—
602	C₂²×C₄²	C₂²×D₄	1	4	yes	—
603	C₂²×C₄²	C₂²×D₄	1	4	yes	—
604	C₂²×C₄²	C₂²×D₄	1	4	yes	—
605	C₂²×C₄²	C₂²×D₄	1	8	yes	complemented
606	C₂²×C₄²	C₂²×D₄	1	16	yes	complemented
607	C₂×#99	C₂³×C₄	1	32	yes	complemented
608	C₂×#99	C₂³×C₄	1	64	yes	complemented
609	C₂×#99	C₂³×C₄	1	32	yes	complemented
610	#386	C₂²×D₄	1	32	yes	—
611	#385	C₂²×D₄	1	32	yes	complemented
612	#379	C₂³×C₄	1	64	yes	complemented
613	#379	C₂³×C₄	1	32	yes	complemented
614	#379	C₂²×D₄	1	32	yes	complemented
615	C₄×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
616	C₂×#95	C₂²×D₄	1	16	yes	complemented
617	C₂×#95	C₂²×D₄	1	16	yes	complemented
618	C₂×#95	C₂²×D₄	1	16	yes	complemented
619	#342	C₂³×C₄	1	64	yes	complemented
620	C₂⁵	C₂×C₄×D₄	1	4	yes	—
621	C₂⁵	C₂×C₄×D₄	1	16	yes	—
622	C₂⁵	C₂×C₄×D₄	1	4	yes	—
623	C₂⁵	C₂×C₄×D₄	1	8	yes	—
624	C₂⁵	C₂×C₄×D₄	1	4	yes	—
625	C₂⁵	C₂×C₄×D₄	1	16	yes	—
626	C₂⁵	C₂×C₄×D₄	1	4	yes	—
627	C₂⁵	C₂×C₄×D₄	1	32	yes	complemented
628	C₂⁵	C₂×C₄×D₄	1	8	yes	complemented
629	C₂⁵	C₂×C₄×D₄	1	16	yes	complemented
630	C₂⁵	C₂×#120	1	2	yes	—
631	C₂⁵	C₂×#120	1	2	yes	—
632	C₂⁵	C₂×#120	1	8	yes	—
633	C₂⁵	C₂×#120	1	2	yes	—
634	C₂⁵	C₂×#120	1	2	yes	—
635	C₂⁵	C₂×#120	1	4	yes	—
636	C₂⁵	#525	1	4	yes	—
637	C₂⁵	#525	1	16	yes	—
638	C₂⁵	#525	1	8	yes	—
639	C₂⁵	#525	1	4	yes	—
640	C₂⁵	#525	1	16	yes	—
641	C₂⁵	#525	1	4	yes	—
642	C₂⁵	C₂⁴×C₄	1	8	yes	—
643	C₂⁵	C₂⁴×C₄	1	4	yes	—
644	C₂⁵	C₂⁴×C₄	1	2	yes	—
645	C₂⁵	C₂³×D₄	1	2	yes	—
646	C₂⁵	C₂³×D₄	1	8	yes	—
647	C₂⁵	C₂³×D₄	1	1	yes	characteristic
648	C₂⁵	C₂³×D₄	1	2	yes	—
649	C₂⁵	C₂³×D₄	1	2	yes	—
650	C₂⁵	C₂³×D₄	1	4	yes	—
651	C₂⁵	C₂³×D₄	1	8	yes	—
652	C₂⁵	C₂³×D₄	1	2	yes	—
653	C₂⁵	C₂³×D₄	1	2	yes	—
654	C₂⁵	C₂³×D₄	1	1	yes	characteristic
655	C₂⁵	C₂³×D₄	1	2	yes	—
656	C₂⁵	C₂³×D₄	1	4	yes	—
657	C₂⁵	C₂²×#41	1	8	yes	—
658	C₂⁵	C₂²×#41	1	4	yes	—
659	C₂⁵	C₂²×#41	1	8	yes	—
660	C₂⁵	C₂²×#41	1	2	yes	—
661	C₂⁵	C₂²×#41	1	4	yes	—
662	C₂⁵	C₂²×#41	1	4	yes	—
663	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
664	C₂⁵	#585	1	4	yes	—
665	C₂⁵	C₂⁶	1	1	yes	characteristic
666	C₂²×D₄	C₂×C₄×D₄	1	8	yes	—
667	C₂²×D₄	C₂×C₄×D₄	1	8	yes	—
668	C₂²×D₄	C₂×C₄×D₄	1	32	yes	—
669	C₂²×D₄	C₂×C₄×D₄	1	16	yes	complemented
670	C₂²×D₄	C₂×C₄×D₄	1	16	yes	complemented
671	C₂²×D₄	C₂×C₄×D₄	1	16	yes	complemented
672	C₂²×D₄	C₂×C₄×D₄	1	64	yes	complemented
673	C₂²×D₄	C₂×#120	1	8	yes	—
674	C₂²×D₄	#525	1	8	yes	—
675	C₂²×D₄	#525	1	32	yes	—
676	C₂²×D₄	C₂⁴×C₄	1	4	yes	—
677	C₂²×D₄	C₂⁴×C₄	1	4	yes	—
678	C₂²×D₄	C₂⁴×C₄	1	8	yes	—
679	C₂²×D₄	C₂³×D₄	1	8	yes	—
680	C₂²×D₄	C₂²×#41	1	4	yes	—
681	C₂²×D₄	C₂²×#41	1	4	yes	—
682	C₂²×D₄	C₂²×#41	1	8	yes	—
683	C₂²×D₄	C₂²×#41	1	8	yes	—
684	C₂³×C₄	B(4,𝔽₂)	1	16	yes	complemented
685	C₂³×C₄	C₂×C₄×D₄	1	4	yes	—
686	C₂³×C₄	C₂×C₄×D₄	1	4	yes	—
687	C₂³×C₄	C₂×C₄×D₄	1	8	yes	complemented
688	C₂³×C₄	C₂×C₄×D₄	1	16	yes	complemented
689	C₂³×C₄	C₂×C₄×D₄	1	16	yes	complemented
690	C₂³×C₄	C₂×#120	1	2	yes	—
691	C₂³×C₄	C₂×#120	1	8	yes	—
692	C₂³×C₄	C₂×#120	1	2	yes	—
693	C₂³×C₄	C₂×#120	1	8	yes	—
694	C₂³×C₄	C₂×#120	1	16	yes	—
695	C₂³×C₄	C₂×#120	1	8	yes	—
696	C₂³×C₄	C₂×#120	1	16	yes	—
697	C₂³×C₄	C₂×#120	1	2	yes	—
698	C₂³×C₄	C₂×#120	1	1	yes	characteristic
699	C₂³×C₄	C₂×#120	1	4	yes	—
700	C₂³×C₄	C₂×#120	1	2	yes	—
701	C₂³×C₄	C₂×#120	1	4	yes	—
702	C₂³×C₄	C₂×#120	1	2	yes	—
703	C₂³×C₄	C₂×#120	1	8	yes	—
704	C₂³×C₄	C₂×#120	1	4	yes	—
705	C₂³×C₄	C₂×#120	1	4	yes	—
706	C₂³×C₄	C₂×#120	1	4	yes	—
707	C₂³×C₄	C₂×#120	1	2	yes	—
708	C₂³×C₄	C₂×#120	1	8	yes	—
709	C₂³×C₄	C₂×#120	1	2	yes	—
710	C₂³×C₄	C₂×#120	1	4	yes	—
711	C₂³×C₄	C₂×#120	1	4	yes	—
712	C₂³×C₄	C₂×#120	1	8	yes	—
713	C₂³×C₄	C₂×#120	1	1	yes	characteristic
714	C₂³×C₄	C₂×#120	1	16	yes	complemented
715	C₂³×C₄	#525	1	4	yes	—
716	C₂³×C₄	#534	1	4	yes	—
717	C₂³×C₄	#534	1	4	yes	—
718	C₂³×C₄	#534	1	8	yes	—
719	C₂³×C₄	D₄²	1	16	yes	—
720	C₂³×C₄	D₄²	1	16	yes	—
721	C₂³×C₄	D₄²	1	32	yes	—
722	C₂³×C₄	C₂³×D₄	1	2	yes	—
723	C₂³×C₄	C₂³×D₄	1	4	yes	—
724	C₂³×C₄	C₂³×D₄	1	2	yes	—
725	C₂³×C₄	C₂³×D₄	1	8	yes	—
726	C₂³×C₄	C₂³×D₄	1	2	yes	—
727	C₂³×C₄	C₂³×D₄	1	2	yes	—
728	C₂³×C₄	C₂³×D₄	1	4	yes	—
729	C₂³×C₄	C₂³×D₄	1	2	yes	—
730	C₂³×C₄	C₂³×D₄	1	4	yes	—
731	C₂³×C₄	C₂³×D₄	1	8	yes	—
732	C₂³×C₄	C₂³×D₄	1	4	yes	—
733	C₂³×C₄	C₂³×D₄	1	2	yes	—
734	C₂³×C₄	C₂³×D₄	1	8	yes	—
735	C₂³×C₄	C₂³×D₄	1	8	yes	—
736	C₂³×C₄	C₂³×D₄	1	2	yes	—
737	C₂³×C₄	C₂³×D₄	1	2	yes	—
738	C₂³×C₄	C₂³×D₄	1	2	yes	—
739	C₂³×C₄	C₂³×D₄	1	2	yes	—
740	C₂³×C₄	C₂³×D₄	1	4	yes	—
741	C₂³×C₄	C₂³×D₄	1	8	yes	—
742	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
743	#120	C₂×C₄×D₄	1	128	yes	complemented
744	C₂×C₄⋊C₄	C₂×#120	1	16	yes	complemented
745	C₂×C₂²⋊C₄	C₂×C₄×D₄	1	64	yes	complemented
746	C₂×C₂²⋊C₄	C₂×C₄×D₄	1	16	yes	complemented
747	C₂×C₂²⋊C₄	C₂×C₄×D₄	1	32	yes	complemented
748	C₂×C₂²⋊C₄	C₂×#120	1	8	yes	—
749	C₂×C₂²⋊C₄	C₂×#120	1	16	yes	complemented
750	C₂×C₂²⋊C₄	C₂⁴×C₄	1	16	yes	—
751	C₂×C₂²⋊C₄	C₂⁴×C₄	1	8	yes	—
752	C₂×C₂²⋊C₄	C₂⁴×C₄	1	8	yes	—
753	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
754	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
755	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
756	C₂×C₂²⋊C₄	C₂²×#41	1	8	yes	—
757	C₂×C₂²⋊C₄	C₂²×#41	1	8	yes	—
758	C₂×C₄²	C₂×#120	1	16	yes	complemented
759	C₂⁴	C₄×#120	1	8	yes	—
760	C₂⁴	C₄×#120	1	8	yes	—
761	C₂⁴	C₄×#120	1	32	yes	—
762	C₂⁴	C₄×#120	1	8	yes	—
763	C₂⁴	C₄×#120	1	8	yes	—
764	C₂⁴	C₄×#120	1	16	yes	complemented
765	C₂⁴	C₂×B(4,𝔽₂)	1	8	yes	—
766	C₂⁴	#3025	1	8	yes	—
767	C₂⁴	C₂²×C₄×D₄	1	4	yes	—
768	C₂⁴	C₂²×C₄×D₄	1	16	yes	—
769	C₂⁴	C₂²×C₄×D₄	1	2	yes	—
770	C₂⁴	C₂²×C₄×D₄	1	4	yes	—
771	C₂⁴	C₂²×C₄×D₄	1	4	yes	—
772	C₂⁴	C₂²×C₄×D₄	1	4	yes	—
773	C₂⁴	C₂²×C₄×D₄	1	4	yes	—
774	C₂⁴	C₂²×C₄×D₄	1	2	yes	—
775	C₂⁴	C₂²×C₄×D₄	1	8	yes	—
776	C₂⁴	C₂²×C₄×D₄	1	4	yes	—
777	C₂⁴	C₂²×C₄×D₄	1	16	yes	complemented
778	C₂⁴	C₂²×C₄×D₄	1	8	yes	complemented
779	C₂⁴	C₄×H(5,𝔽₂)	1	8	yes	—
780	C₂⁴	C₂²×#120	1	4	yes	—
781	C₂⁴	C₂²×#120	1	1	yes	characteristic
782	C₂⁴	C₂²×#120	1	2	yes	—
783	C₂⁴	C₂²×#120	1	2	yes	—
784	C₂⁴	C₂²×#120	1	4	yes	—
785	C₂⁴	C₂²×#120	1	4	yes	—
786	C₂⁴	C₂²×#120	1	2	yes	—
787	C₂⁴	C₂²×#120	1	1	yes	characteristic
788	C₂⁴	C₂×#525	1	4	yes	—
789	C₂⁴	C₂×#525	1	16	yes	—
790	C₂⁴	C₂×#525	1	4	yes	—
791	C₂⁴	C₂×#525	1	2	yes	—
792	C₂⁴	C₂×#525	1	2	yes	—
793	C₂⁴	C₂×#525	1	4	yes	—
794	C₂⁴	C₂×#525	1	4	yes	—
795	C₂⁴	C₂×#525	1	4	yes	—
796	C₂⁴	C₂×#525	1	8	yes	—
797	C₂⁴	C₂×#525	1	2	yes	—
798	C₂⁴	C₂×#525	1	2	yes	—
799	C₂⁴	C₂×#534	1	2	yes	—
800	C₂⁴	C₂×#534	1	2	yes	—
801	C₂⁴	#3449	1	2	yes	—
802	C₂⁴	#3449	1	2	yes	—
803	C₂⁴	#3459	1	8	yes	—
804	C₂⁴	C₂×D₄²	1	8	yes	—
805	C₂⁴	C₂×D₄²	1	8	yes	—
806	C₂⁴	D₄×#41	1	8	yes	—
807	C₂⁴	D₄×#41	1	16	yes	—
808	C₂⁴	D₄×#41	1	8	yes	—
809	C₂⁴	#3481	1	16	yes	—
810	C₂⁴	C₂⁵×C₄	1	1	yes	characteristic
811	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
812	C₂⁴	C₂⁴×D₄	1	2	yes	—
813	C₂⁴	C₂⁴×D₄	1	2	yes	—
814	C₂⁴	C₂³×#41	1	1	yes	characteristic
815	C₂⁴	C₂³×#41	1	2	yes	—
816	C₂⁴	C₂³×#41	1	2	yes	—
817	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
818	C₂⁴	C₂×#585	1	2	yes	—
819	C₂×D₄	C₄×#120	1	32	yes	complemented
820	C₂×D₄	C₂²×C₄×D₄	1	16	yes	—
821	C₂×D₄	C₂×#525	1	16	yes	—
822	C₂²×C₄	C₄×#120	1	16	yes	complemented
823	C₂²×C₄	#2403	1	4	yes	—
824	C₂²×C₄	#2403	1	8	yes	—
825	C₂²×C₄	#2403	1	8	yes	—
826	C₂²×C₄	#2403	1	16	yes	—
827	C₂²×C₄	#2403	1	8	yes	—
828	C₂²×C₄	#2403	1	16	yes	—
829	C₂²×C₄	#2403	1	4	yes	—
830	C₂²×C₄	C₂×B(4,𝔽₂)	1	8	yes	—
831	C₂²×C₄	C₂×B(4,𝔽₂)	1	8	yes	—
832	C₂²×C₄	C₂×B(4,𝔽₂)	1	32	yes	complemented
833	C₂²×C₄	C₂²×C₄×D₄	1	4	yes	—
834	C₂²×C₄	C₂²×C₄×D₄	1	4	yes	—
835	C₂²×C₄	C₂²×C₄×D₄	1	8	yes	complemented
836	C₂²×C₄	C₂²×C₄×D₄	1	16	yes	complemented
837	C₂²×C₄	C₂²×#120	1	4	yes	—
838	C₂²×C₄	C₂²×#120	1	2	yes	—
839	C₂²×C₄	C₂²×#120	1	4	yes	—
840	C₂²×C₄	C₂²×#120	1	4	yes	—
841	C₂²×C₄	C₂²×#120	1	4	yes	—
842	C₂²×C₄	C₂²×#120	1	4	yes	—
843	C₂²×C₄	C₂²×#120	1	4	yes	—
844	C₂²×C₄	C₂²×#120	1	4	yes	—
845	C₂²×C₄	C₂²×#120	1	4	yes	—
846	C₂²×C₄	C₂²×#120	1	2	yes	—
847	C₂²×C₄	C₂×#525	1	4	yes	—
848	C₂²×C₄	C₂×#534	1	4	yes	—
849	C₂²×C₄	C₂×#534	1	4	yes	—
850	C₂²×C₄	C₂×D₄²	1	16	yes	—
851	C₂²×C₄	C₂×D₄²	1	16	yes	—
852	C₂²⋊C₄	C₂²×C₄×D₄	1	16	yes	complemented
853	C₂³	C₄×B(4,𝔽₂)	1	32	yes	complemented
854	C₂³	C₂×C₄×#120	1	8	yes	—
855	C₂³	C₂×C₄×#120	1	8	yes	—
856	C₂³	C₂×C₄×#120	1	2	yes	—
857	C₂³	C₂×C₄×#120	1	4	yes	—
858	C₂³	C₂×C₄×#120	1	4	yes	—
859	C₂³	C₂×C₄×#120	1	4	yes	—
860	C₂³	C₂×C₄×#120	1	2	yes	—
861	C₂³	C₂×C₄×#120	1	8	yes	complemented
862	C₂³	C₄×#534	1	4	yes	—
863	C₂³	C₄×#534	1	4	yes	—
864	C₂³	C₄×D₄²	1	16	yes	—
865	C₂³	C₄×D₄²	1	16	yes	—
866	C₂³	C₂×#2403	1	4	yes	—
867	C₂³	C₂×#2403	1	2	yes	—
868	C₂³	C₂×#2403	1	2	yes	—
869	C₂³	#34655	1	16	yes	—
870	C₂³	#34655	1	16	yes	—
871	C₂³	#34736	1	2	yes	—
872	C₂³	#34736	1	4	yes	—
873	C₂³	#34736	1	4	yes	—
874	C₂³	#34736	1	4	yes	—
875	C₂³	#34736	1	2	yes	—
876	C₂³	#34956	1	4	yes	—
877	C₂³	#34956	1	4	yes	—
878	C₂³	C₂²×B(4,𝔽₂)	1	8	yes	—
879	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
880	C₂³	C₂×#3025	1	8	yes	—
881	C₂³	C₂×#3025	1	4	yes	—
882	C₂³	C₂³×C₄×D₄	1	1	yes	characteristic
883	C₂³	C₂³×C₄×D₄	1	2	yes	—
884	C₂³	C₂³×C₄×D₄	1	2	yes	—
885	C₂³	C₂×C₄×H(5,𝔽₂)	1	2	yes	—
886	C₂³	C₂³×#120	1	1	yes	characteristic
887	C₂³	C₂³×#120	1	1	yes	characteristic
888	C₂³	C₂²×#525	1	2	yes	—
889	C₂³	C₂²×#525	1	1	yes	characteristic
890	C₂³	C₂²×#525	1	1	yes	characteristic
891	C₂³	C₂²×#525	1	2	yes	—
892	C₂³	C₂²×#534	1	1	yes	characteristic
893	C₂³	C₂×#3459	1	2	yes	—
894	C₂³	C₂×#3449	1	1	yes	characteristic
895	C₂³	C₂²×D₄²	1	4	yes	—
896	C₂³	C₂×D₄×#41	1	4	yes	—
897	C₂³	C₂×D₄×#41	1	4	yes	—
898	C₂³	C₂×#3481	1	4	yes	—
899	C₂×C₄	#23900	1	16	yes	direct product factor
900	C₂×C₄	C₂×C₄×#120	1	8	yes	complemented
901	C₂×C₄	C₂×#2403	1	4	yes	—
902	C₂×C₄	C₂×#2403	1	8	yes	—
903	C₂×C₄	C₂×#2403	1	4	yes	—
904	C₂×C₄	C₂²×B(4,𝔽₂)	1	8	yes	—
905	C₂×C₄	C₂²×B(4,𝔽₂)	1	8	yes	—
906	C₂²	C₄×#2403	1	4	yes	—
907	C₂²	C₄×#2403	1	8	yes	—
908	C₂²	C₄×#2403	1	4	yes	—
909	C₂²	C₂×C₄×B(4,𝔽₂)	1	8	yes	—
910	C₂²	C₂×C₄×B(4,𝔽₂)	1	16	yes	complemented
911	C₂²	C₂×#23900	1	4	yes	—
912	C₂²	#6437616	1	4	yes	—
913	C₂²	#6454041	1	8	yes	—
914	C₂²	C₂²×C₄×#120	1	1	yes	characteristic
915	C₂²	C₂²×C₄×#120	1	1	yes	characteristic
916	C₂²	C₂×C₄×#534	1	1	yes	characteristic
917	C₂²	C₂×C₄×D₄²	1	4	yes	—
918	C₂²	C₂²×#2403	1	1	yes	characteristic
919	C₂²	C₂×#34655	1	4	yes	—
920	C₂²	C₂×#34736	1	1	yes	characteristic
921	C₂²	C₂×#34736	1	1	yes	characteristic
922	C₂²	C₂×#34956	1	1	yes	characteristic
923	C₂²	C₂³×B(4,𝔽₂)	1	2	yes	—
924	C₂²	C₂²×#3025	1	2	yes	—
925	C₄	C₂×#23900	1	8	yes	direct product factor
926	C₂	C₂²×#23900	1	1	yes	characteristic
927	C₂	C₂×#6437616	1	1	yes	characteristic
928	C₂	C₂×#6454041	1	2	yes	—
929	C₂	C₄×#23900	1	8	yes	direct product factor
930	C₂	C₂²×C₄×B(4,𝔽₂)	1	2	yes	—
931	C₂	C₂×C₄×#2403	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₄	C₂×#120
commutator	C₂⁴	C₂⁵×C₄
Frattini, cosocle	C₂⁵	C₂⁶
socle	C₂⁴	C₂²×#120
prime radical	C₂²×#23900	C₂
LCS	G ▷ C₂⁴ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₄ ◁ C₂⁶×C₄ ◁ G
LECS	G ▷ C₂⁵ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#375865	C₂	semidirect
2. C₂×#368021	C₂	semidirect
3. C₂×C₄×#1898	C₂	semidirect
4. C₂×#368077	C₂	semidirect
5. C₂×C₄×#1889	C₂	semidirect
6. C₂×#373686	C₂	semidirect
7. C₂×C₄×#2021	C₂	semidirect
8. C₂×C₄×#1781	C₂	semidirect
9. C₂×C₄×#2846	C₂	semidirect
10. C₂²×C₄×B(4,𝔽₂)	C₂	semidirect
11. C₂³×C₄×#120	C₂	semidirect
12. C₂×#364513	C₂	semidirect
13. C₂×#359552	C₂	semidirect
14. C₂×#359501	C₂	semidirect
15. C₄×#23900	C₂	direct (N × H)
16. C₂×C₄×#3484	C₂	semidirect
17. C₂×#364410	C₂	semidirect
19. C₂⁷×C₄	C₂²	semidirect
22. C₂²×C₄×H(5,𝔽₂)	C₂²	semidirect
26. C₄×#3484	C₂²	semidirect
27. C₂×#34264	C₂²	semidirect
29. C₂×#34256	C₂²	semidirect
30. C₂×#34248	C₂²	semidirect
32. C₂×C₄×#534	C₂²	semidirect
36. C₂²×C₄×#120	C₂²	semidirect
37. C₂²×C₄×#120	C₂²	semidirect
38. C₂²×C₄×#120	C₂²	semidirect
39. C₂²×C₄×#120	C₂²	semidirect
41. C₂³×#385	C₂²	semidirect
42. C₂³×#379	C₂²	semidirect
43. C₂×C₄×#518	C₂²	semidirect
44. C₂³×C₄×C₂²⋊C₄	C₂²	semidirect
45. C₂×#23900	C₄	direct (N × H)
48. C₂×C₄×B(4,𝔽₂)	C₂²	semidirect
54. C₂²×#1889	C₂²	semidirect
55. C₂²×#1867	C₂²	semidirect
56. C₂²×#1867	C₂²	semidirect
57. C₂²×#1790	C₂²	semidirect
60. C₂²×C₄×#99	C₂²	semidirect
61. C₂²×C₄×#99	C₂²	semidirect
62. C₂²×C₄×#99	C₂²	semidirect
63. C₄×#2846	C₂²	semidirect
65. C₂×#14694	C₂²	semidirect
66. C₂×#14693	C₂²	semidirect
67. C₂×#14693	C₂²	semidirect
68. C₂×#14679	C₂²	semidirect
69. C₂×C₄×#379	C₂²	semidirect
70. C₂×C₄×#379	C₂²	semidirect
71. #375865	C₂²	semidirect
72. #373686	C₂²	semidirect
73. #368077	C₂²	semidirect
74. #368021	C₂²	semidirect
75. #364513	C₂²	semidirect
76. #364410	C₂²	semidirect
77. #359552	C₂²	semidirect
78. #359501	C₂²	semidirect
79. C₄×#2021	C₂²	semidirect
80. C₂×#11344	C₂²	semidirect
81. C₂×#11087	C₂²	semidirect
82. C₂×#11087	C₂²	semidirect
83. C₂×#11069	C₂²	semidirect
84. C₂×#10991	C₂²	semidirect
85. C₂×#10991	C₂²	semidirect
86. C₂×#10995	C₂²	semidirect
87. C₄×#1781	C₂²	semidirect
88. C₄×#1889	C₂²	semidirect
89. C₄×#1898	C₂²	semidirect
90. C₂×#10960	C₂²	semidirect
91. C₂×#10935	C₂²	semidirect
92. C₂×#10918	C₂²	semidirect
93. C₂×#10912	C₂²	semidirect
94. C₂×#10745	C₂²	semidirect
95. C₂×#10745	C₂²	semidirect
96. C₂×#10735	C₂²	semidirect
97. C₂×#10735	C₂²	semidirect
98. C₂×#10761	C₂²	semidirect
99. C₂×#10761	C₂²	semidirect
100. C₂×#10725	C₂²	semidirect
101. C₂×C₄×#342	C₂²	semidirect
105. C₂⁶×C₄	D₄	semidirect
110. C₂⁶×C₄	C₂³	semidirect
111. C₂×#3484	C₂×C₄	semidirect
114. C₂³×#120	C₂×C₄	semidirect
120. C₂×C₄×H(5,𝔽₂)	C₂³	semidirect
125. C₂³×C₄×D₄	D₄	semidirect
126. C₂³×C₄×D₄	D₄	semidirect
127. C₂³×C₄×D₄	D₄	semidirect
128. C₂³×C₄×D₄	D₄	semidirect
129. C₂³×C₄×D₄	D₄	semidirect
130. C₂³×C₄×D₄	D₄	semidirect
137. C₂⁴×C₄⋊C₄	D₄	semidirect
138. C₂⁴×C₂²⋊C₄	D₄	semidirect
142. C₂⁴×C₄²	D₄	semidirect
143. C₂²×B(4,𝔽₂)	C₂×C₄	semidirect
151. C₂×#2846	C₂×C₄	semidirect
153. #34264	C₂³	semidirect
154. #34256	C₂³	semidirect
155. #34248	C₂³	semidirect
158. C₄×#534	C₂³	semidirect
162. C₂×C₄×#120	D₄	semidirect
163. C₂×C₄×#120	D₄	semidirect
167. C₂×C₄×#120	C₂³	semidirect
168. C₂×C₄×#120	C₂³	semidirect
169. C₂×C₄×#120	C₂³	semidirect
170. C₂²×#386	D₄	semidirect
176. C₂²×#385	D₄	semidirect
181. C₂²×#385	C₂³	semidirect
190. C₂²×#379	C₂³	semidirect
191. C₄×#518	C₂³	semidirect
193. C₂²×C₄×C₂²⋊C₄	D₄	semidirect
198. C₂²×C₄×C₂²⋊C₄	C₂³	semidirect
199. #23900	C₂×C₄	direct (N × H)
200. C₂×#2021	C₂×C₄	semidirect
202. C₂×#1898	C₂×C₄	semidirect
205. C₂×#1889	C₂×C₄	semidirect
209. C₂×#1889	C₂³	semidirect
210. C₂×#1867	C₂³	semidirect
211. C₂×#1867	C₂³	semidirect
212. C₂×#1790	C₂³	semidirect
213. C₂×#1781	C₂×C₄	semidirect
216. C₂×C₄×#99	C₂³	semidirect
217. C₂×C₄×#99	C₂³	semidirect
218. C₂×C₄×#99	C₂³	semidirect
228. #14694	C₂³	semidirect
229. #14693	C₂³	semidirect
230. #14693	C₂³	semidirect
231. #14679	C₂³	semidirect
232. C₄×#379	C₂³	semidirect
233. C₄×#379	C₂³	semidirect
237. #11344	C₂³	semidirect
238. #11087	C₂³	semidirect
239. #11087	C₂³	semidirect
240. #11069	C₂³	semidirect
241. #10995	C₂³	semidirect
242. #10991	C₂³	semidirect
243. #10991	C₂³	semidirect
244. #10960	C₂³	semidirect
245. #10935	C₂³	semidirect
246. #10918	C₂³	semidirect
247. #10912	C₂³	semidirect
248. #10761	C₂³	semidirect
249. #10761	C₂³	semidirect
250. #10745	C₂³	semidirect
251. #10745	C₂³	semidirect
252. #10735	C₂³	semidirect
253. #10735	C₂³	semidirect
254. #10725	C₂³	semidirect
255. C₄×#342	C₂³	semidirect
256. C₂⁷	C₂²×C₄	semidirect
261. C₂²×H(5,𝔽₂)	C₂²×C₄	semidirect
288. C₂⁵×C₄	C₂×D₄	semidirect
289. C₂⁵×C₄	C₂×D₄	semidirect
290. C₂⁵×C₄	C₂×D₄	semidirect
298. #3484	C₂²×C₄	semidirect
299. C₂×#534	C₂²×C₄	semidirect
303. C₂²×#120	C₂²×C₄	semidirect
304. C₂²×#120	C₂²×C₄	semidirect
305. C₂²×#120	C₂²×C₄	semidirect
314. C₂×#518	C₂²×C₄	semidirect
324. C₂²×C₄×D₄	C₂×D₄	semidirect
325. C₂²×C₄×D₄	C₂×D₄	semidirect
326. C₂²×C₄×D₄	C₂×D₄	semidirect
327. C₂²×C₄×D₄	C₂×D₄	semidirect
328. C₂²×C₄×D₄	C₂×D₄	semidirect
329. C₂²×C₄×D₄	C₂×D₄	semidirect
339. C₂³×C₄⋊C₄	C₂×D₄	semidirect
340. C₂³×C₄⋊C₄	C₂×D₄	semidirect
341. C₂³×C₄⋊C₄	C₂×D₄	semidirect
342. C₂³×C₂²⋊C₄	C₂²×C₄	semidirect
353. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
354. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
355. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
372. C₂³×C₄²	C₂×D₄	semidirect
373. C₂³×C₄²	C₂×D₄	semidirect
374. C₂³×C₄²	C₂×D₄	semidirect
375. C₂×B(4,𝔽₂)	C₂²×C₄	semidirect
376. C₂²×#99	C₂²×C₄	semidirect
377. C₂²×#99	C₂²×C₄	semidirect
378. C₂²×#99	C₂²×C₄	semidirect
385. #2846	C₂²×C₄	semidirect
389. C₄×#120	C₂×D₄	semidirect
391. C₂×#386	C₂×D₄	semidirect
392. C₂×#386	C₂×D₄	semidirect
397. C₂×#385	C₂×D₄	semidirect
398. C₂×#385	C₂×D₄	semidirect
399. C₂×#385	C₂×D₄	semidirect
404. C₂×#379	C₂²×C₄	semidirect
405. C₂×#379	C₂²×C₄	semidirect
407. C₂×#379	C₂×D₄	semidirect
417. C₂×C₄×C₂²⋊C₄	C₂×D₄	semidirect
418. C₂×C₄×C₂²⋊C₄	C₂×D₄	semidirect
419. C₂×C₄×C₂²⋊C₄	C₂×D₄	semidirect
424. C₂²×#95	C₂×D₄	semidirect
425. C₂²×#95	C₂×D₄	semidirect
426. C₂²×#95	C₂×D₄	semidirect
427. #2021	C₂²×C₄	semidirect
428. #1898	C₂²×C₄	semidirect
429. #1889	C₂²×C₄	semidirect
430. #1781	C₂²×C₄	semidirect
431. C₂×#342	C₂²×C₄	semidirect
443. C₂⁶	C₄×D₄	semidirect
446. C₂⁶	C₂³×C₄	semidirect
463. C₂×H(5,𝔽₂)	C₂³×C₄	semidirect
464. C₂³×D₄	C₄×D₄	semidirect
465. C₂³×D₄	C₄×D₄	semidirect
466. C₂³×D₄	C₄×D₄	semidirect
467. C₂³×D₄	C₄×D₄	semidirect
487. C₂⁴×C₄	C₄×D₄	semidirect
500. C₂⁴×C₄	#120	semidirect
538. C₂⁴×C₄	C₂²×D₄	semidirect
539. C₂⁴×C₄	C₂²×D₄	semidirect
544. #534	C₂³×C₄	semidirect
545. C₂×#120	C₄×D₄	semidirect
546. C₂×#120	C₄×D₄	semidirect
549. C₂×#120	C₂³×C₄	semidirect
550. C₂×#120	C₂³×C₄	semidirect
554. #518	C₂³×C₄	semidirect
555. C₂×C₄×D₄	#120	semidirect
557. C₂²×C₄⋊C₄	#120	semidirect
562. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
563. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
564. C₂²×C₂²⋊C₄	C₄×D₄	semidirect
565. C₂²×C₂²⋊C₄	#120	semidirect
569. C₂²×C₂²⋊C₄	C₂³×C₄	semidirect
587. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
588. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
600. C₂²×C₄²	#120	semidirect
605. C₂²×C₄²	C₂²×D₄	semidirect
606. C₂²×C₄²	C₂²×D₄	semidirect
607. C₂×#99	C₂³×C₄	semidirect
608. C₂×#99	C₂³×C₄	semidirect
609. C₂×#99	C₂³×C₄	semidirect
611. #385	C₂²×D₄	semidirect
612. #379	C₂³×C₄	semidirect
613. #379	C₂³×C₄	semidirect
614. #379	C₂²×D₄	semidirect
615. C₄×C₂²⋊C₄	C₂²×D₄	semidirect
616. C₂×#95	C₂²×D₄	semidirect
617. C₂×#95	C₂²×D₄	semidirect
618. C₂×#95	C₂²×D₄	semidirect
619. #342	C₂³×C₄	semidirect
627. C₂⁵	C₂×C₄×D₄	semidirect
628. C₂⁵	C₂×C₄×D₄	semidirect
629. C₂⁵	C₂×C₄×D₄	semidirect
669. C₂²×D₄	C₂×C₄×D₄	semidirect
670. C₂²×D₄	C₂×C₄×D₄	semidirect
671. C₂²×D₄	C₂×C₄×D₄	semidirect
672. C₂²×D₄	C₂×C₄×D₄	semidirect
684. C₂³×C₄	B(4,𝔽₂)	semidirect
687. C₂³×C₄	C₂×C₄×D₄	semidirect
688. C₂³×C₄	C₂×C₄×D₄	semidirect
689. C₂³×C₄	C₂×C₄×D₄	semidirect
714. C₂³×C₄	C₂×#120	semidirect
743. #120	C₂×C₄×D₄	semidirect
744. C₂×C₄⋊C₄	C₂×#120	semidirect
745. C₂×C₂²⋊C₄	C₂×C₄×D₄	semidirect
746. C₂×C₂²⋊C₄	C₂×C₄×D₄	semidirect
747. C₂×C₂²⋊C₄	C₂×C₄×D₄	semidirect
749. C₂×C₂²⋊C₄	C₂×#120	semidirect
758. C₂×C₄²	C₂×#120	semidirect
764. C₂⁴	C₄×#120	semidirect
777. C₂⁴	C₂²×C₄×D₄	semidirect
778. C₂⁴	C₂²×C₄×D₄	semidirect
819. C₂×D₄	C₄×#120	semidirect
822. C₂²×C₄	C₄×#120	semidirect
832. C₂²×C₄	C₂×B(4,𝔽₂)	semidirect
835. C₂²×C₄	C₂²×C₄×D₄	semidirect
836. C₂²×C₄	C₂²×C₄×D₄	semidirect
852. C₂²⋊C₄	C₂²×C₄×D₄	semidirect
853. C₂³	C₄×B(4,𝔽₂)	semidirect
861. C₂³	C₂×C₄×#120	semidirect
899. C₂×C₄	#23900	direct (N × H)
900. C₂×C₄	C₂×C₄×#120	semidirect
910. C₂²	C₂×C₄×B(4,𝔽₂)	semidirect
925. C₄	C₂×#23900	direct (N × H)
929. C₂	C₄×#23900	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×#375865	2
C₂×#368021	2
C₂×C₄×#1898	2
C₂×#368077	2
C₂×C₄×#1889	2
C₂×#373686	2
C₂×C₄×#2021	2
C₂×C₄×#1781	2
C₂×C₄×#2846	2
C₂²×C₄×B(4,𝔽₂)	2
C₂³×C₄×#120	2
C₂×#364513	2
C₂×#359552	2
C₂×#359501	2
C₄×#23900	2
C₂×C₄×#3484	2
C₂×#364410	2
C₂²×#23900	2

Subgroups — C2×C4×#23900 #72342216

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₄×#23900 #72342216