Subgroups — #72267065

Order 2048.

At least 6854 conjugacy classes of subgroups; only the 2808 normal subgroups are shown.

The subgroup lattice has 616 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72267062	C₂	1	2	yes	maximal, complemented
2	C₂×#201687	C₂	1	2	yes	maximal, complemented
3	#72261893	C₂	1	2	yes	maximal, complemented
4	C₂²×#9495	C₂	1	2	yes	maximal, complemented
5	#72241298	C₂	1	4	yes	maximal, complemented
6	#72241283	C₂	1	4	yes	maximal, complemented
7	#72241165	C₂	1	4	yes	maximal, complemented
8	C₂²×#20585	C₂	1	1	yes	maximal, characteristic, complemented
9	#72238531	C₂	1	2	yes	maximal, complemented
10	#72225783	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#188035	C₂	1	2	yes	maximal, complemented
12	#72219460	C₂	1	4	yes	maximal, complemented
13	C₂×#7631286	C₂	1	1	yes	maximal, characteristic
14	C₂⁴×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
15	C₂²×#3484	C₄	1	2	yes	complemented
16	C₂³×D₄²	C₂²	1	1	yes	characteristic
17	C₂×#35527	C₂²	1	2	yes	—
18	C₂×#35512	C₂²	1	2	yes	—
19	C₂×#35347	C₄	1	2	yes	complemented
20	C₂×#35347	C₂²	1	2	yes	—
21	C₂×#35346	C₄	1	2	yes	complemented
22	C₂×#35346	C₂²	1	2	yes	—
23	C₂×#35250	C₄	1	2	yes	complemented
24	C₂×#34980	C₄	1	2	yes	complemented
25	C₂×#34980	C₂²	1	1	yes	characteristic
26	C₂×#34980	C₂²	1	1	yes	characteristic
27	C₂×#34736	C₄	1	2	yes	complemented
28	C₂²×#2403	C₄	1	2	yes	complemented
29	C₂²×#2403	C₂²	1	1	yes	characteristic
30	C₂²×#2403	C₂²	1	1	yes	characteristic
31	C₂×#34256	C₄	1	2	yes	complemented
32	C₂×#34171	C₂²	1	1	yes	characteristic
33	C₂²×#2308	C₂²	1	2	yes	complemented
34	C₂×#21746	C₂²	1	4	yes	complemented
35	C₂×#20585	C₂²	1	4	yes	complemented
36	C₂×#20585	C₂²	1	4	yes	complemented
37	C₂²×#1781	C₂²	1	2	yes	—
38	C₂²×#1781	C₂²	1	2	yes	—
39	C₂²×#1781	C₂²	1	2	yes	complemented
40	C₂²×#1781	C₂²	1	2	yes	complemented
41	C₂²×#1781	C₂²	1	4	yes	complemented
42	#517411	C₂²	1	2	yes	complemented
43	#392111	C₂²	1	4	yes	complemented
44	#392111	C₂²	1	4	yes	complemented
45	C₂×#9499	C₂²	1	8	yes	complemented
46	C₂×#9495	C₂²	1	8	yes	complemented
47	C₂×#9495	C₂²	1	8	yes	complemented
48	C₂×#9495	C₂²	1	8	yes	complemented
49	C₂×#8546	C₂²	1	4	yes	complemented
50	C₂×#8542	C₂²	1	4	yes	complemented
51	C₂×#8542	C₂²	1	4	yes	complemented
52	C₂×#8541	C₂²	1	4	yes	complemented
53	C₂×#8101	C₂²	1	4	yes	complemented
54	C₂²×#1304	C₂²	1	4	yes	complemented
55	#115135	C₂²	1	8	yes	complemented
56	#115133	C₂²	1	8	yes	complemented
57	#115133	C₂²	1	8	yes	complemented
58	#115133	C₂²	1	8	yes	complemented
59	#105810	C₂²	1	8	yes	complemented
60	#105808	C₂²	1	8	yes	complemented
61	C₂³×H(5,𝔽₂)	C₂×C₄	1	2	yes	—
62	C₂³×H(5,𝔽₂)	C₂×C₄	1	2	yes	—
63	C₂³×H(5,𝔽₂)	D₄	1	4	yes	—
64	C₂³×H(5,𝔽₂)	D₄	1	4	yes	—
65	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	—
66	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	—
67	C₂⁴×#41	C₂×C₄	1	2	yes	—
68	C₂⁴×#41	D₄	1	2	yes	—
69	C₂⁴×#41	D₄	1	2	yes	—
70	C₂⁵×D₄	C₂×C₄	1	2	yes	—
71	C₂⁵×D₄	C₂×C₄	1	1	yes	characteristic, complemented
72	C₂⁵×D₄	C₂×C₄	1	1	yes	characteristic, complemented
73	C₂⁵×D₄	D₄	1	2	yes	—
74	C₂⁵×D₄	D₄	1	2	yes	—
75	C₂⁵×D₄	C₂³	1	1	yes	characteristic
76	C₂⁵×D₄	C₂³	1	1	yes	characteristic
77	C₂⁵×D₄	C₂³	1	1	yes	characteristic
78	C₂⁵×D₄	C₂³	1	1	yes	characteristic
79	C₂²×#535	C₂×C₄	1	4	yes	complemented
80	C₂²×#534	C₂×C₄	1	2	yes	—
81	C₂²×#534	C₂×C₄	1	2	yes	complemented
82	C₂²×#534	C₂×C₄	1	4	yes	complemented
83	C₂³×#127	C₂³	1	1	yes	characteristic
84	C₂²×#525	C₂×C₄	1	4	yes	complemented
85	C₂³×#121	C₂×C₄	1	1	yes	characteristic, complemented
86	C₂³×#121	C₂×C₄	1	1	yes	characteristic, complemented
87	C₂³×#121	C₂³	1	1	yes	characteristic
88	C₂³×#121	C₂³	1	1	yes	characteristic
89	C₂³×#120	C₂×C₄	1	2	yes	—
90	C₂³×#120	C₂×C₄	1	2	yes	complemented
91	C₂³×#120	C₂×C₄	1	4	yes	complemented
92	C₂³×#120	C₂×C₄	1	1	yes	characteristic, complemented
93	C₂³×#120	C₂×C₄	1	1	yes	characteristic, complemented
94	C₂³×#120	C₂³	1	1	yes	characteristic
95	C₂³×#120	C₂³	1	1	yes	characteristic
96	C₂²×#518	C₂×C₄	1	2	yes	complemented
97	C₂³×C₄×D₄	C₂×C₄	1	1	yes	characteristic, complemented
98	C₂³×C₄×D₄	C₂×C₄	1	1	yes	characteristic, complemented
99	#34980	D₄	1	16	yes	—
100	C₂×#2406	C₂×C₄	1	4	yes	complemented
101	C₂×#2404	C₂×C₄	1	4	yes	complemented
102	C₂×#2404	C₂×C₄	1	4	yes	complemented
103	C₂×#2404	C₂×C₄	1	4	yes	complemented
104	C₂×#2405	C₂×C₄	1	2	yes	—
105	C₂×#2405	C₂×C₄	1	2	yes	complemented
106	C₂×#2405	C₂×C₄	1	4	yes	complemented
107	C₂×#2405	C₂³	1	2	yes	—
108	C₂×#2405	C₂³	1	2	yes	—
109	C₂×#2403	C₂×C₄	1	2	yes	—
110	C₂×#2403	C₂×C₄	1	2	yes	—
111	C₂×#2403	C₂×C₄	1	2	yes	—
112	C₂×#2403	C₂×C₄	1	2	yes	complemented
113	C₂×#2403	C₂×C₄	1	2	yes	complemented
114	C₂×#2403	C₂×C₄	1	2	yes	complemented
115	C₂×#2403	C₂×C₄	1	4	yes	complemented
116	C₂×#2403	C₂×C₄	1	4	yes	complemented
117	C₂×#2403	C₂×C₄	1	4	yes	complemented
118	C₂×#2403	D₄	1	16	yes	—
119	C₂×#2403	C₂³	1	2	yes	—
120	C₂×#2403	C₂³	1	2	yes	—
121	C₂×#2403	C₂³	1	2	yes	—
122	C₂×#2403	C₂³	1	2	yes	—
123	C₂×#2403	C₂³	1	2	yes	—
124	C₂×#2403	C₂³	1	2	yes	—
125	C₂×#2311	C₂×C₄	1	4	yes	complemented
126	C₂×#2309	C₂³	1	2	yes	—
127	C₂×#2308	C₂×C₄	1	2	yes	—
128	C₂×#2308	C₂×C₄	1	2	yes	complemented
129	C₂×#2308	C₂×C₄	1	2	yes	complemented
130	C₂×#2308	C₂×C₄	1	4	yes	complemented
131	C₂×#2308	C₂³	1	8	yes	—
132	C₂×#2308	C₂³	1	2	yes	—
133	C₂×#2297	C₂×C₄	1	4	yes	complemented
134	C₂²×#386	C₂×C₄	1	2	yes	—
135	C₂²×#386	C₂×C₄	1	2	yes	complemented
136	C₂²×#386	C₂×C₄	1	4	yes	complemented
137	C₂×#2280	C₂×C₄	1	2	yes	complemented
138	C₂²×#379	C₂×C₄	1	2	yes	complemented
139	C₂²×#379	C₂³	1	4	yes	—
140	C₂²×#379	C₂³	1	4	yes	—
141	C₂²×#379	C₂³	1	1	yes	characteristic
142	C₂²×#379	C₂³	1	1	yes	characteristic
143	C₂×#1819	C₂³	1	8	yes	complemented
144	C₂×#1781	D₄	1	16	yes	complemented
145	C₂×#1781	C₂³	1	4	yes	—
146	C₂×#1781	C₂³	1	4	yes	—
147	C₂×#1781	C₂³	1	8	yes	—
148	C₂×#1781	C₂³	1	8	yes	—
149	C₂×#1781	C₂³	1	4	yes	—
150	C₂×#1781	C₂³	1	4	yes	—
151	C₂×#1781	C₂³	1	8	yes	complemented
152	C₂×#1781	C₂³	1	8	yes	complemented
153	C₂×#1781	C₂³	1	8	yes	complemented
154	#14335	C₂³	1	8	yes	—
155	C₂×#1304	C₂³	1	16	yes	complemented
156	C₂×#1304	C₂³	1	16	yes	complemented
157	C₂⁷	C₂²⋊C₄	1	2	yes	—
158	C₂⁷	C₂²×C₄	1	1	yes	characteristic
159	C₂⁷	C₂²×C₄	1	1	yes	characteristic
160	C₂⁷	C₂²×C₄	1	1	yes	characteristic, complemented
161	C₂⁷	C₂×D₄	1	1	yes	characteristic
162	C₂⁷	C₂×D₄	1	1	yes	characteristic
163	C₂⁷	C₂⁴	1	1	yes	characteristic
164	C₂³×#41	C₂²⋊C₄	1	4	yes	—
165	C₂³×#41	C₂²⋊C₄	1	4	yes	—
166	C₂³×#41	C₂²⋊C₄	1	4	yes	—
167	C₂³×#41	C₂²⋊C₄	1	4	yes	—
168	C₂³×#41	C₂²⋊C₄	1	4	yes	—
169	C₂³×#41	C₂²⋊C₄	1	4	yes	—
170	C₂³×#41	C₂²×C₄	1	4	yes	—
171	C₂³×#41	C₂²×C₄	1	4	yes	—
172	C₂³×#41	C₂×D₄	1	4	yes	—
173	C₂³×#41	C₂×D₄	1	4	yes	—
174	C₂³×#41	C₂×D₄	1	4	yes	—
175	C₂³×#41	C₂×D₄	1	4	yes	—
176	C₂⁴×Q₈	C₂²⋊C₄	1	2	yes	—
177	C₂⁴×D₄	C₂²⋊C₄	1	4	yes	—
178	C₂⁴×D₄	C₂²⋊C₄	1	4	yes	—
179	C₂⁴×D₄	C₂²⋊C₄	1	2	yes	—
180	C₂⁴×D₄	C₂²⋊C₄	1	2	yes	—
181	C₂⁴×D₄	C₂²⋊C₄	1	4	yes	—
182	C₂⁴×D₄	C₂²⋊C₄	1	4	yes	—
183	C₂⁴×D₄	C₂²⋊C₄	1	4	yes	—
184	C₂⁴×D₄	C₂²⋊C₄	1	2	yes	—
185	C₂⁴×D₄	C₂²⋊C₄	1	4	yes	—
186	C₂⁴×D₄	C₂²×C₄	1	2	yes	—
187	C₂⁴×D₄	C₂²×C₄	1	4	yes	—
188	C₂⁴×D₄	C₂²×C₄	1	2	yes	—
189	C₂⁴×D₄	C₂²×C₄	1	2	yes	—
190	C₂⁴×D₄	C₂²×C₄	1	4	yes	—
191	C₂⁴×D₄	C₂²×C₄	1	2	yes	—
192	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic
193	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic
194	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic
195	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic
196	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic
197	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic
198	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic, complemented
199	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic, complemented
200	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic, complemented
201	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic, complemented
202	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic, complemented
203	C₂⁴×D₄	C₂×D₄	1	2	yes	—
204	C₂⁴×D₄	C₂×D₄	1	4	yes	—
205	C₂⁴×D₄	C₂×D₄	1	4	yes	—
206	C₂⁴×D₄	C₂×D₄	1	2	yes	—
207	C₂⁴×D₄	C₂×D₄	1	2	yes	—
208	C₂⁴×D₄	C₂×D₄	1	2	yes	—
209	C₂⁴×D₄	C₂×D₄	1	4	yes	—
210	C₂⁴×D₄	C₂×D₄	1	4	yes	—
211	C₂⁴×D₄	C₂×D₄	1	2	yes	—
212	C₂⁴×D₄	C₂×D₄	1	8	yes	—
213	C₂⁴×D₄	C₂×D₄	1	2	yes	—
214	C₂⁴×D₄	C₂×D₄	1	2	yes	—
215	C₂⁴×D₄	C₂×D₄	1	2	yes	—
216	C₂⁴×D₄	C₂×D₄	1	8	yes	—
217	C₂⁴×D₄	C₂×D₄	1	8	yes	—
218	C₂⁴×D₄	C₂×D₄	1	8	yes	—
219	C₂⁴×D₄	C₂×D₄	1	2	yes	—
220	C₂⁴×D₄	C₂×D₄	1	2	yes	—
221	C₂⁴×D₄	#41	1	8	yes	—
222	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
223	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
224	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
225	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
226	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
227	C₂⁴×D₄	C₂⁴	1	2	yes	—
228	C₂⁴×D₄	C₂⁴	1	2	yes	—
229	C₂⁵×C₄	C₂²⋊C₄	1	2	yes	—
230	C₂⁵×C₄	C₂²⋊C₄	1	2	yes	—
231	C₂⁵×C₄	C₂²⋊C₄	1	2	yes	—
232	C₂⁵×C₄	C₂²×C₄	1	1	yes	characteristic
233	C₂⁵×C₄	C₂²×C₄	1	1	yes	characteristic
234	C₂⁵×C₄	C₂²×C₄	1	1	yes	characteristic, complemented
235	C₂⁵×C₄	C₂²×C₄	1	1	yes	characteristic, complemented
236	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
237	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
238	C₂×#534	C₂²⋊C₄	1	16	yes	complemented
239	C₂²×#123	C₂²×C₄	1	4	yes	—
240	C₂²×#123	C₂²×C₄	1	4	yes	complemented
241	C₂²×#120	C₂²⋊C₄	1	16	yes	complemented
242	C₂²×#120	C₂²×C₄	1	4	yes	—
243	C₂²×#120	C₂²×C₄	1	4	yes	—
244	C₂²×#120	C₂²×C₄	1	4	yes	—
245	C₂²×#120	C₂²×C₄	1	4	yes	complemented
246	C₂²×#120	C₂²×C₄	1	4	yes	complemented
247	C₂²×#120	C₂²×C₄	1	4	yes	complemented
248	C₂²×#120	C₂×D₄	1	8	yes	—
249	C₂²×#117	C₂²×C₄	1	4	yes	complemented
250	C₂³×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic, complemented
251	C₂³×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic, complemented
252	C₂³×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
253	C₂³×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
254	C₂³×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
255	C₂³×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
256	C₂³×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic, complemented
257	C₂³×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic, complemented
258	C₂³×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic, complemented
259	C₂³×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic, complemented
260	C₂³×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic, complemented
261	C₂³×C₂²⋊C₄	C₂²×C₄	1	4	yes	complemented
262	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
263	C₂³×C₄²	C₂²×C₄	1	1	yes	characteristic, complemented
264	#2405	C₂²⋊C₄	1	16	yes	complemented
265	#2405	C₂×D₄	1	16	yes	—
266	#2403	C₂²⋊C₄	1	16	yes	complemented
267	#2403	C₂²⋊C₄	1	16	yes	complemented
268	#2403	C₂²⋊C₄	1	16	yes	complemented
269	#2403	C₂×D₄	1	16	yes	—
270	#2403	C₂×D₄	1	16	yes	—
271	#2403	C₂×D₄	1	16	yes	—
272	#2308	C₂²⋊C₄	1	16	yes	complemented
273	C₂×#386	C₂²⋊C₄	1	16	yes	complemented
274	C₂×#386	C₂²×C₄	1	4	yes	—
275	C₂×#386	C₂²×C₄	1	4	yes	—
276	C₂×#386	C₂²×C₄	1	4	yes	—
277	C₂×#386	C₂²×C₄	1	4	yes	—
278	C₂×#386	C₂²×C₄	1	4	yes	complemented
279	C₂×#386	C₂²×C₄	1	4	yes	complemented
280	C₂×#386	C₂²×C₄	1	4	yes	complemented
281	C₂×#386	C₂²×C₄	1	4	yes	complemented
282	C₂×#381	C₂²×C₄	1	4	yes	complemented
283	C₂×#379	C₂²×C₄	1	2	yes	—
284	C₂×#379	C₂²×C₄	1	2	yes	—
285	C₂×#379	C₂²×C₄	1	4	yes	complemented
286	C₂×#379	C₂×D₄	1	8	yes	—
287	C₂×#379	C₂×D₄	1	8	yes	—
288	C₂×#379	C₂×D₄	1	16	yes	complemented
289	C₂×#379	C₂⁴	1	8	yes	—
290	C₂×#379	C₂⁴	1	8	yes	—
291	C₂×#379	C₂⁴	1	2	yes	—
292	C₂×#379	C₂⁴	1	2	yes	—
293	#1781	C₂×D₄	1	16	yes	complemented
294	#1781	C₂×D₄	1	16	yes	complemented
295	C₂⁶	C₂×C₂²⋊C₄	1	2	yes	—
296	C₂⁶	C₂×C₂²⋊C₄	1	2	yes	—
297	C₂⁶	C₂×C₂²⋊C₄	1	2	yes	—
298	C₂⁶	C₂×C₂²⋊C₄	1	4	yes	—
299	C₂⁶	C₂×C₂²⋊C₄	1	2	yes	—
300	C₂⁶	C₂×C₂²⋊C₄	1	2	yes	—
301	C₂⁶	C₂×C₂²⋊C₄	1	4	yes	—
302	C₂⁶	C₂×C₂²⋊C₄	1	2	yes	—
303	C₂⁶	C₂×C₂²⋊C₄	1	4	yes	—
304	C₂⁶	C₄×D₄	1	8	yes	—
305	C₂⁶	#120	1	8	yes	—
306	C₂⁶	C₂³×C₄	1	1	yes	characteristic
307	C₂⁶	C₂³×C₄	1	1	yes	characteristic
308	C₂⁶	C₂³×C₄	1	1	yes	characteristic
309	C₂⁶	C₂³×C₄	1	1	yes	characteristic
310	C₂⁶	C₂³×C₄	1	1	yes	characteristic
311	C₂⁶	C₂³×C₄	1	1	yes	characteristic
312	C₂⁶	C₂³×C₄	1	1	yes	characteristic
313	C₂⁶	C₂²×D₄	1	2	yes	—
314	C₂⁶	C₂²×D₄	1	2	yes	—
315	C₂⁶	C₂²×D₄	1	1	yes	characteristic
316	C₂⁶	C₂²×D₄	1	1	yes	characteristic
317	C₂⁶	C₂²×D₄	1	1	yes	characteristic
318	C₂⁶	C₂²×D₄	1	1	yes	characteristic
319	C₂⁶	C₂²×D₄	1	4	yes	—
320	C₂⁶	C₂²×D₄	1	4	yes	—
321	C₂⁶	C₂²×D₄	1	4	yes	—
322	C₂⁶	C₂×#41	1	4	yes	—
323	C₂⁶	H(5,𝔽₂)	1	4	yes	—
324	C₂⁶	H(5,𝔽₂)	1	4	yes	—
325	C₂⁶	C₂⁵	1	1	yes	characteristic
326	C₂³×Q₈	C₂×C₂²⋊C₄	1	4	yes	—
327	C₂³×Q₈	C₂×C₂²⋊C₄	1	4	yes	—
328	C₂³×D₄	#99	1	32	yes	complemented
329	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
330	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
331	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
332	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
333	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
334	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
335	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
336	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
337	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
338	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
339	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
340	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
341	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
342	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
343	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
344	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
345	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
346	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
347	C₂³×D₄	C₂×C₂²⋊C₄	1	8	yes	—
348	C₂³×D₄	C₂×C₂²⋊C₄	1	8	yes	—
349	C₂³×D₄	C₂×C₂²⋊C₄	1	8	yes	—
350	C₂³×D₄	C₂×C₂²⋊C₄	1	8	yes	—
351	C₂³×D₄	C₄×D₄	1	8	yes	—
352	C₂³×D₄	C₄×D₄	1	8	yes	—
353	C₂³×D₄	#120	1	16	yes	—
354	C₂³×D₄	#120	1	16	yes	—
355	C₂³×D₄	#120	1	16	yes	—
356	C₂³×D₄	#120	1	8	yes	—
357	C₂³×D₄	#120	1	8	yes	—
358	C₂³×D₄	#121	1	16	yes	—
359	C₂³×D₄	#121	1	16	yes	—
360	C₂³×D₄	#123	1	8	yes	—
361	C₂³×D₄	#123	1	8	yes	—
362	C₂³×D₄	C₂³×C₄	1	4	yes	—
363	C₂³×D₄	C₂³×C₄	1	4	yes	—
364	C₂³×D₄	C₂²×D₄	1	4	yes	—
365	C₂³×D₄	C₂²×D₄	1	4	yes	—
366	C₂³×D₄	C₂²×D₄	1	2	yes	—
367	C₂³×D₄	C₂²×D₄	1	2	yes	—
368	C₂³×D₄	C₂²×D₄	1	2	yes	—
369	C₂³×D₄	C₂²×D₄	1	2	yes	—
370	C₂³×D₄	C₂²×D₄	1	4	yes	—
371	C₂³×D₄	C₂²×D₄	1	4	yes	—
372	C₂³×D₄	C₂²×D₄	1	4	yes	—
373	C₂³×D₄	C₂²×D₄	1	4	yes	—
374	C₂³×D₄	C₂²×D₄	1	4	yes	—
375	C₂³×D₄	C₂²×D₄	1	8	yes	—
376	C₂³×D₄	C₂²×D₄	1	8	yes	—
377	C₂³×D₄	C₂×#41	1	4	yes	—
378	C₂³×D₄	C₂×#41	1	4	yes	—
379	C₂⁴×C₄	C₂×C₂²⋊C₄	1	2	yes	—
380	C₂⁴×C₄	C₂×C₂²⋊C₄	1	2	yes	—
381	C₂⁴×C₄	C₂×C₂²⋊C₄	1	4	yes	—
382	C₂⁴×C₄	C₂×C₂²⋊C₄	1	4	yes	—
383	C₂⁴×C₄	C₂×C₂²⋊C₄	1	4	yes	—
384	C₂⁴×C₄	C₂×C₂²⋊C₄	1	2	yes	—
385	C₂⁴×C₄	C₂×C₂²⋊C₄	1	2	yes	—
386	C₂⁴×C₄	C₂×C₂²⋊C₄	1	2	yes	—
387	C₂⁴×C₄	C₂×C₂²⋊C₄	1	4	yes	—
388	C₂⁴×C₄	C₂×C₂²⋊C₄	1	4	yes	—
389	C₂⁴×C₄	C₂×C₂²⋊C₄	1	4	yes	—
390	C₂⁴×C₄	C₂×C₂²⋊C₄	1	4	yes	—
391	C₂⁴×C₄	C₂×C₂²⋊C₄	1	2	yes	—
392	C₂⁴×C₄	C₄×D₄	1	8	yes	—
393	C₂⁴×C₄	#120	1	8	yes	—
394	C₂⁴×C₄	C₂³×C₄	1	1	yes	characteristic
395	C₂⁴×C₄	C₂³×C₄	1	1	yes	characteristic
396	C₂⁴×C₄	C₂³×C₄	1	1	yes	characteristic
397	C₂⁴×C₄	C₂³×C₄	1	1	yes	characteristic
398	C₂⁴×C₄	C₂³×C₄	1	1	yes	characteristic
399	C₂⁴×C₄	C₂³×C₄	1	1	yes	characteristic
400	C₂⁴×C₄	C₂³×C₄	1	1	yes	characteristic
401	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
402	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
403	C₂×#123	C₂×C₂²⋊C₄	1	16	yes	—
404	C₂×#120	C₂×C₂²⋊C₄	1	16	yes	—
405	C₂×#120	C₂×C₂²⋊C₄	1	16	yes	—
406	C₂×#120	C₂×C₂²⋊C₄	1	16	yes	—
407	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	4	yes	—
408	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	4	yes	—
409	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	8	yes	—
410	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	8	yes	—
411	C₂²×C₂²⋊C₄	C₂³×C₄	1	4	yes	—
412	C₂²×C₂²⋊C₄	C₂³×C₄	1	4	yes	—
413	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
414	#386	C₂×C₂²⋊C₄	1	16	yes	—
415	#386	C₂×C₂²⋊C₄	1	16	yes	—
416	#386	C₂×C₂²⋊C₄	1	16	yes	—
417	#386	C₂×C₂²⋊C₄	1	16	yes	—
418	#379	C₂×C₂²⋊C₄	1	8	yes	—
419	#379	C₂×C₂²⋊C₄	1	8	yes	—
420	#379	C₂²×D₄	1	16	yes	—
421	#379	C₂²×D₄	1	8	yes	—
422	#379	C₂²×D₄	1	8	yes	—
423	C₂⁵	#379	1	8	yes	—
424	C₂⁵	#379	1	8	yes	—
425	C₂⁵	#386	1	8	yes	—
426	C₂⁵	#386	1	8	yes	—
427	C₂⁵	C₂×#99	1	16	yes	—
428	C₂⁵	C₂×#99	1	16	yes	complemented
429	C₂⁵	C₂²×C₂²⋊C₄	1	1	yes	characteristic
430	C₂⁵	C₂²×C₂²⋊C₄	1	4	yes	—
431	C₂⁵	C₂²×C₂²⋊C₄	1	2	yes	—
432	C₂⁵	C₂²×C₂²⋊C₄	1	1	yes	characteristic
433	C₂⁵	C₂²×C₂²⋊C₄	1	1	yes	characteristic
434	C₂⁵	C₂²×C₂²⋊C₄	1	4	yes	—
435	C₂⁵	C₂²×C₂²⋊C₄	1	2	yes	—
436	C₂⁵	C₂²×C₂²⋊C₄	1	2	yes	—
437	C₂⁵	C₂²×C₂²⋊C₄	1	2	yes	—
438	C₂⁵	C₂²×C₂²⋊C₄	1	2	yes	—
439	C₂⁵	C₂²×C₂²⋊C₄	1	2	yes	—
440	C₂⁵	C₂²×C₂²⋊C₄	1	2	yes	—
441	C₂⁵	C₂²×C₂²⋊C₄	1	2	yes	—
442	C₂⁵	C₂²×C₂²⋊C₄	1	2	yes	—
443	C₂⁵	C₂²×C₂²⋊C₄	1	1	yes	characteristic
444	C₂⁵	C₂×C₄×D₄	1	4	yes	—
445	C₂⁵	C₂×C₄×D₄	1	4	yes	—
446	C₂⁵	C₂×C₄×D₄	1	4	yes	—
447	C₂⁵	C₂×C₄×D₄	1	4	yes	—
448	C₂⁵	#518	1	2	yes	—
449	C₂⁵	#518	1	4	yes	—
450	C₂⁵	#518	1	2	yes	—
451	C₂⁵	C₂×#120	1	8	yes	—
452	C₂⁵	C₂×#120	1	2	yes	—
453	C₂⁵	C₂×#120	1	4	yes	—
454	C₂⁵	C₂×#120	1	4	yes	—
455	C₂⁵	C₂×#120	1	4	yes	—
456	C₂⁵	C₂×#120	1	2	yes	—
457	C₂⁵	C₂×#120	1	4	yes	—
458	C₂⁵	C₂×#121	1	4	yes	—
459	C₂⁵	C₂×#121	1	4	yes	—
460	C₂⁵	C₂×#123	1	2	yes	—
461	C₂⁵	C₂×#123	1	2	yes	—
462	C₂⁵	#534	1	2	yes	—
463	C₂⁵	#534	1	2	yes	—
464	C₂⁵	#534	1	2	yes	—
465	C₂⁵	#534	1	4	yes	—
466	C₂⁵	#534	1	4	yes	—
467	C₂⁵	#534	1	2	yes	—
468	C₂⁵	D₄²	1	8	yes	—
469	C₂⁵	D₄²	1	8	yes	—
470	C₂⁵	D₄²	1	8	yes	—
471	C₂⁵	D₄²	1	8	yes	—
472	C₂⁵	#546	1	8	yes	—
473	C₂⁵	#546	1	8	yes	—
474	C₂⁵	#546	1	8	yes	—
475	C₂⁵	#546	1	8	yes	—
476	C₂⁵	C₂⁴×C₄	1	1	yes	characteristic
477	C₂⁵	C₂³×D₄	1	1	yes	characteristic
478	C₂⁵	C₂³×D₄	1	1	yes	characteristic
479	C₂⁵	C₂³×D₄	1	2	yes	—
480	C₂⁵	C₂³×D₄	1	2	yes	—
481	C₂⁵	C₂³×D₄	1	2	yes	—
482	C₂⁵	C₂²×#41	1	2	yes	—
483	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
484	C₂²×D₄	#379	1	16	yes	—
485	C₂²×D₄	#379	1	16	yes	—
486	C₂²×D₄	#386	1	8	yes	—
487	C₂²×D₄	#386	1	8	yes	—
488	C₂²×D₄	#386	1	8	yes	—
489	C₂²×D₄	#386	1	8	yes	—
490	C₂²×D₄	C₂×#99	1	16	yes	—
491	C₂²×D₄	C₂×#99	1	16	yes	—
492	C₂²×D₄	C₂×#99	1	16	yes	complemented
493	C₂²×D₄	C₂×#99	1	16	yes	complemented
494	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
495	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
496	C₂²×D₄	C₂×#120	1	16	yes	—
497	C₂²×D₄	C₂×#120	1	4	yes	—
498	C₂²×D₄	C₂×#120	1	4	yes	—
499	C₂²×D₄	C₂×#121	1	8	yes	—
500	C₂²×D₄	C₂×#121	1	8	yes	—
501	C₂²×D₄	C₂×#123	1	4	yes	—
502	C₂²×D₄	C₂×#123	1	4	yes	—
503	C₂³×C₄	#379	1	8	yes	—
504	C₂³×C₄	#379	1	8	yes	—
505	C₂³×C₄	#386	1	8	yes	—
506	C₂³×C₄	#386	1	8	yes	—
507	C₂³×C₄	C₂×#99	1	16	yes	complemented
508	C₂³×C₄	C₂²×C₂²⋊C₄	1	4	yes	—
509	C₂³×C₄	C₂²×C₂²⋊C₄	1	4	yes	—
510	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
511	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
512	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
513	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
514	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
515	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
516	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
517	C₂³×C₄	C₂×C₄×D₄	1	4	yes	—
518	C₂³×C₄	C₂×C₄×D₄	1	4	yes	—
519	C₂³×C₄	C₂×#120	1	8	yes	—
520	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	8	yes	—
521	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	8	yes	—
522	C₂⁴	#1781	1	32	yes	—
523	C₂⁴	C₂×#379	1	2	yes	—
524	C₂⁴	C₂×#379	1	2	yes	—
525	C₂⁴	C₂×#379	1	2	yes	—
526	C₂⁴	C₂×#379	1	8	yes	—
527	C₂⁴	C₂×#379	1	2	yes	—
528	C₂⁴	C₂×#386	1	2	yes	—
529	C₂⁴	C₂×#386	1	4	yes	—
530	C₂⁴	C₂×#386	1	2	yes	—
531	C₂⁴	C₂×#386	1	2	yes	—
532	C₂⁴	C₂×#386	1	4	yes	—
533	C₂⁴	C₂×#386	1	2	yes	—
534	C₂⁴	#2308	1	1	yes	characteristic
535	C₂⁴	#2308	1	2	yes	—
536	C₂⁴	#2308	1	2	yes	—
537	C₂⁴	#2308	1	1	yes	characteristic
538	C₂⁴	#2308	1	2	yes	—
539	C₂⁴	D₄×C₂²⋊C₄	1	4	yes	—
540	C₂⁴	D₄×C₂²⋊C₄	1	8	yes	—
541	C₂⁴	D₄×C₂²⋊C₄	1	8	yes	—
542	C₂⁴	D₄×C₂²⋊C₄	1	4	yes	—
543	C₂⁴	D₄×C₂²⋊C₄	1	4	yes	—
544	C₂⁴	D₄×C₂²⋊C₄	1	4	yes	—
545	C₂⁴	#2403	1	4	yes	—
546	C₂⁴	#2403	1	4	yes	—
547	C₂⁴	#2403	1	8	yes	—
548	C₂⁴	#2405	1	4	yes	—
549	C₂⁴	#2405	1	4	yes	—
550	C₂⁴	#2405	1	8	yes	—
551	C₂⁴	#2410	1	8	yes	—
552	C₂⁴	#2410	1	8	yes	—
553	C₂⁴	#2410	1	8	yes	—
554	C₂⁴	#2410	1	8	yes	—
555	C₂⁴	C₂²×#99	1	8	yes	—
556	C₂⁴	C₂²×#99	1	8	yes	—
557	C₂⁴	C₂²×#99	1	8	yes	—
558	C₂⁴	C₂²×#99	1	8	yes	—
559	C₂⁴	C₂²×#99	1	8	yes	—
560	C₂⁴	C₂³×C₂²⋊C₄	1	1	yes	characteristic
561	C₂⁴	C₂³×C₂²⋊C₄	1	1	yes	characteristic
562	C₂⁴	C₂³×C₂²⋊C₄	1	1	yes	characteristic
563	C₂⁴	C₂²×C₄×D₄	1	2	yes	—
564	C₂⁴	C₂×#518	1	2	yes	—
565	C₂⁴	C₂²×#120	1	1	yes	characteristic
566	C₂⁴	C₂²×#120	1	2	yes	—
567	C₂⁴	C₂²×#120	1	2	yes	—
568	C₂⁴	C₂²×#121	1	2	yes	—
569	C₂⁴	C₂²×#123	1	1	yes	characteristic
570	C₂⁴	C₂×#534	1	2	yes	—
571	C₂⁴	C₂×#534	1	2	yes	—
572	C₂⁴	C₂×D₄²	1	4	yes	—
573	C₂⁴	C₂×D₄²	1	4	yes	—
574	C₂⁴	C₂×#546	1	4	yes	—
575	C₂⁴	C₂×#546	1	4	yes	—
576	C₂×D₄	#1898	1	32	yes	—
577	C₂²×C₄	C₂×#379	1	8	yes	—
578	C₂²×C₄	C₂×#386	1	4	yes	—
579	C₂²×C₄	C₂×#386	1	4	yes	—
580	C₂²×C₄	C₂²×#99	1	8	yes	—
581	C₂²×C₄	C₂²×#99	1	8	yes	—
582	C₂³	#13867	1	2	yes	—
583	C₂³	#13867	1	4	yes	—
584	C₂³	#13867	1	4	yes	—
585	C₂³	#13867	1	4	yes	—
586	C₂³	#13867	1	2	yes	—
587	C₂³	C₂×#1781	1	16	yes	—
588	C₂³	C₂×#1781	1	8	yes	—
589	C₂³	C₂×#1898	1	8	yes	—
590	C₂³	C₂×#1898	1	8	yes	—
591	C₂³	#21746	1	8	yes	—
592	C₂³	#21776	1	4	yes	—
593	C₂³	C₂²×#379	1	1	yes	characteristic
594	C₂³	C₂²×#386	1	1	yes	characteristic
595	C₂³	C₂×#2308	1	1	yes	characteristic
596	C₂³	C₂×D₄×C₂²⋊C₄	1	2	yes	—
597	C₂³	C₂×D₄×C₂²⋊C₄	1	2	yes	—
598	C₂³	C₂×#2403	1	2	yes	—
599	C₂³	C₂×#2410	1	4	yes	—
600	C₂³	C₂×#2405	1	2	yes	—
601	C₂³	C₂³×#99	1	4	yes	—
602	C₂×C₄	C₂×#1898	1	8	yes	—
603	C₂²	#359428	1	8	yes	—
604	C₂²	#359591	1	4	yes	—
605	C₂²	C₂×#13867	1	1	yes	characteristic
606	C₂²	C₂²×#1781	1	2	yes	—
607	C₂²	C₂²×#1898	1	2	yes	—
608	C₂²	C₂×#21746	1	2	yes	—
609	C₂²	C₂×#21776	1	2	yes	—
610	C₂²	#6374187	1	2	yes	—
611	C₂	C₂×#359428	1	1	yes	characteristic
612	C₂	#72241025	1	4	yes	—
613	C₂	C₂×#359591	1	1	yes	characteristic
614	C₂	#72241071	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂×#2308
commutator	C₂⁵	C₂⁴×C₄
Frattini, cosocle	C₂⁶	C₂⁵
prime radical	C₂×#7631286	C₂
LCS	G ▷ C₂⁵ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₂⁷ ◁ G
LECS	G ▷ C₂⁶ ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72267062	C₂	semidirect
2. C₂×#201687	C₂	semidirect
3. #72261893	C₂	semidirect
4. C₂²×#9495	C₂	semidirect
5. #72241298	C₂	semidirect
6. #72241283	C₂	semidirect
7. #72241165	C₂	semidirect
8. C₂²×#20585	C₂	semidirect
9. #72238531	C₂	semidirect
10. #72225783	C₂	semidirect
11. C₂×#188035	C₂	semidirect
12. #72219460	C₂	semidirect
15. C₂²×#3484	C₄	semidirect
19. C₂×#35347	C₄	semidirect
21. C₂×#35346	C₄	semidirect
23. C₂×#35250	C₄	semidirect
24. C₂×#34980	C₄	semidirect
27. C₂×#34736	C₄	semidirect
28. C₂²×#2403	C₄	semidirect
31. C₂×#34256	C₄	semidirect
33. C₂²×#2308	C₂²	semidirect
34. C₂×#21746	C₂²	semidirect
35. C₂×#20585	C₂²	semidirect
36. C₂×#20585	C₂²	semidirect
39. C₂²×#1781	C₂²	semidirect
40. C₂²×#1781	C₂²	semidirect
41. C₂²×#1781	C₂²	semidirect
42. #517411	C₂²	semidirect
43. #392111	C₂²	semidirect
44. #392111	C₂²	semidirect
45. C₂×#9499	C₂²	semidirect
46. C₂×#9495	C₂²	semidirect
47. C₂×#9495	C₂²	semidirect
48. C₂×#9495	C₂²	semidirect
49. C₂×#8546	C₂²	semidirect
50. C₂×#8542	C₂²	semidirect
51. C₂×#8542	C₂²	semidirect
52. C₂×#8541	C₂²	semidirect
53. C₂×#8101	C₂²	semidirect
54. C₂²×#1304	C₂²	semidirect
55. #115135	C₂²	semidirect
56. #115133	C₂²	semidirect
57. #115133	C₂²	semidirect
58. #115133	C₂²	semidirect
59. #105810	C₂²	semidirect
60. #105808	C₂²	semidirect
71. C₂⁵×D₄	C₂×C₄	semidirect
72. C₂⁵×D₄	C₂×C₄	semidirect
79. C₂²×#535	C₂×C₄	semidirect
81. C₂²×#534	C₂×C₄	semidirect
82. C₂²×#534	C₂×C₄	semidirect
84. C₂²×#525	C₂×C₄	semidirect
85. C₂³×#121	C₂×C₄	semidirect
86. C₂³×#121	C₂×C₄	semidirect
90. C₂³×#120	C₂×C₄	semidirect
91. C₂³×#120	C₂×C₄	semidirect
92. C₂³×#120	C₂×C₄	semidirect
93. C₂³×#120	C₂×C₄	semidirect
96. C₂²×#518	C₂×C₄	semidirect
97. C₂³×C₄×D₄	C₂×C₄	semidirect
98. C₂³×C₄×D₄	C₂×C₄	semidirect
100. C₂×#2406	C₂×C₄	semidirect
101. C₂×#2404	C₂×C₄	semidirect
102. C₂×#2404	C₂×C₄	semidirect
103. C₂×#2404	C₂×C₄	semidirect
105. C₂×#2405	C₂×C₄	semidirect
106. C₂×#2405	C₂×C₄	semidirect
112. C₂×#2403	C₂×C₄	semidirect
113. C₂×#2403	C₂×C₄	semidirect
114. C₂×#2403	C₂×C₄	semidirect
115. C₂×#2403	C₂×C₄	semidirect
116. C₂×#2403	C₂×C₄	semidirect
117. C₂×#2403	C₂×C₄	semidirect
125. C₂×#2311	C₂×C₄	semidirect
128. C₂×#2308	C₂×C₄	semidirect
129. C₂×#2308	C₂×C₄	semidirect
130. C₂×#2308	C₂×C₄	semidirect
133. C₂×#2297	C₂×C₄	semidirect
135. C₂²×#386	C₂×C₄	semidirect
136. C₂²×#386	C₂×C₄	semidirect
137. C₂×#2280	C₂×C₄	semidirect
138. C₂²×#379	C₂×C₄	semidirect
143. C₂×#1819	C₂³	semidirect
144. C₂×#1781	D₄	semidirect
151. C₂×#1781	C₂³	semidirect
152. C₂×#1781	C₂³	semidirect
153. C₂×#1781	C₂³	semidirect
155. C₂×#1304	C₂³	semidirect
156. C₂×#1304	C₂³	semidirect
160. C₂⁷	C₂²×C₄	semidirect
198. C₂⁴×D₄	C₂²×C₄	semidirect
199. C₂⁴×D₄	C₂²×C₄	semidirect
200. C₂⁴×D₄	C₂²×C₄	semidirect
201. C₂⁴×D₄	C₂²×C₄	semidirect
202. C₂⁴×D₄	C₂²×C₄	semidirect
234. C₂⁵×C₄	C₂²×C₄	semidirect
235. C₂⁵×C₄	C₂²×C₄	semidirect
238. C₂×#534	C₂²⋊C₄	semidirect
240. C₂²×#123	C₂²×C₄	semidirect
241. C₂²×#120	C₂²⋊C₄	semidirect
245. C₂²×#120	C₂²×C₄	semidirect
246. C₂²×#120	C₂²×C₄	semidirect
247. C₂²×#120	C₂²×C₄	semidirect
249. C₂²×#117	C₂²×C₄	semidirect
250. C₂³×C₄⋊C₄	C₂²×C₄	semidirect
251. C₂³×C₄⋊C₄	C₂²×C₄	semidirect
256. C₂³×C₂²⋊C₄	C₂²×C₄	semidirect
257. C₂³×C₂²⋊C₄	C₂²×C₄	semidirect
258. C₂³×C₂²⋊C₄	C₂²×C₄	semidirect
259. C₂³×C₂²⋊C₄	C₂²×C₄	semidirect
260. C₂³×C₂²⋊C₄	C₂²×C₄	semidirect
261. C₂³×C₂²⋊C₄	C₂²×C₄	semidirect
263. C₂³×C₄²	C₂²×C₄	semidirect
264. #2405	C₂²⋊C₄	semidirect
266. #2403	C₂²⋊C₄	semidirect
267. #2403	C₂²⋊C₄	semidirect
268. #2403	C₂²⋊C₄	semidirect
272. #2308	C₂²⋊C₄	semidirect
273. C₂×#386	C₂²⋊C₄	semidirect
278. C₂×#386	C₂²×C₄	semidirect
279. C₂×#386	C₂²×C₄	semidirect
280. C₂×#386	C₂²×C₄	semidirect
281. C₂×#386	C₂²×C₄	semidirect
282. C₂×#381	C₂²×C₄	semidirect
285. C₂×#379	C₂²×C₄	semidirect
288. C₂×#379	C₂×D₄	semidirect
293. #1781	C₂×D₄	semidirect
294. #1781	C₂×D₄	semidirect
328. C₂³×D₄	#99	semidirect
428. C₂⁵	C₂×#99	semidirect
492. C₂²×D₄	C₂×#99	semidirect
493. C₂²×D₄	C₂×#99	semidirect
507. C₂³×C₄	C₂×#99	semidirect

Maximal subgroups

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

subgroup	index
#72267062	2
C₂×#201687	2
#72261893	2
C₂²×#9495	2
#72241298	2
#72241283	2
#72241165	2
C₂²×#20585	2
#72238531	2
#72225783	2
C₂×#188035	2
#72219460	2
C₂×#7631286	2