Subgroups — #72262807

Order 2048.

At least 9240 conjugacy classes of subgroups; only the 6564 normal subgroups are shown.

The subgroup lattice has 674 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72262798	C₂	1	4	yes	maximal, complemented
2	#72262701	C₂	1	2	yes	maximal, complemented
3	#72255905	C₂	1	2	yes	maximal, complemented
4	#72255754	C₂	1	2	yes	maximal, complemented
5	#72237372	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#187928	C₂	1	4	yes	maximal, complemented
7	#72235768	C₂	1	4	yes	maximal, complemented
8	#72234661	C₂	1	4	yes	maximal, complemented
9	#72234609	C₂	1	2	yes	maximal, complemented
10	#72233581	C₂	1	2	yes	maximal, complemented
11	C₂×#10586472	C₂	1	1	yes	maximal, characteristic, complemented
12	#72233423	C₂	1	16	yes	maximal, complemented
13	#72233058	C₂	1	16	yes	maximal, complemented
14	#72232592	C₂	1	2	yes	maximal, complemented
15	C₂×#188035	C₂	1	1	yes	maximal, characteristic, complemented
16	#10586472	C₂²	1	16	yes	—
17	C₂×#62832	C₂²	1	2	yes	—
18	C₂×#62818	C₂²	1	4	yes	—
19	C₂×#62817	C₂²	1	2	yes	—
20	C₂×#62817	C₂²	1	2	yes	—
21	C₂²×#3484	C₂²	1	4	yes	—
22	C₂³×D₄²	C₂²	1	1	yes	characteristic
23	#7641845	C₂²	1	4	yes	complemented
24	C₂×#34981	C₂²	1	1	yes	characteristic, complemented
25	C₂×#34980	C₂²	1	2	yes	complemented
26	#6500011	C₂²	1	16	yes	complemented
27	#6500010	C₂²	1	16	yes	complemented
28	#6470226	C₂²	1	8	yes	complemented
29	#6470226	C₂²	1	8	yes	complemented
30	#6470226	C₂²	1	16	yes	complemented
31	#6470225	C₂²	1	8	yes	complemented
32	#6470225	C₂²	1	16	yes	complemented
33	#6470225	C₂²	1	8	yes	complemented
34	#6453039	C₂²	1	4	yes	complemented
35	#6451874	C₂²	1	4	yes	complemented
36	#6440460	C₂²	1	4	yes	complemented
37	#6440460	C₂²	1	16	yes	complemented
38	#6437621	C₂²	1	4	yes	complemented
39	#6437621	C₂²	1	16	yes	complemented
40	C₂×#21746	C₂²	1	8	yes	complemented
41	C₂×#21746	C₂²	1	2	yes	complemented
42	C₂²×#1898	C₂²	1	4	yes	complemented
43	C₂²×#1781	C₂²	1	4	yes	complemented
44	#705152	C₂²	1	8	yes	complemented
45	#687584	C₂²	1	8	yes	complemented
46	#618455	C₂²	1	2	yes	complemented
47	#618316	C₂²	1	2	yes	complemented
48	#617875	C₂²	1	1	yes	characteristic, complemented
49	#617710	C₂²	1	1	yes	characteristic, complemented
50	#617161	C₂²	1	1	yes	characteristic, complemented
51	#616960	C₂²	1	1	yes	characteristic, complemented
52	#556752	C₂²	1	1	yes	characteristic, complemented
53	C₂×#13867	C₂²	1	2	yes	complemented
54	#347056	C₂²	1	16	yes	complemented
55	#347056	C₂²	1	32	yes	complemented
56	#347055	C₂²	1	32	yes	complemented
57	#347052	C₂²	1	32	yes	complemented
58	#347049	C₂²	1	32	yes	complemented
59	#347048	C₂²	1	32	yes	complemented
60	#347048	C₂²	1	16	yes	complemented
61	#347047	C₂²	1	16	yes	complemented
62	#347043	C₂²	1	32	yes	complemented
63	#347042	C₂²	1	16	yes	complemented
64	#188035	C₂²	1	16	yes	complemented
65	C₂×#8546	C₂²	1	2	yes	complemented
66	C₂×#8542	C₂²	1	4	yes	complemented
67	C₂×#8541	C₂²	1	2	yes	complemented
68	#187945	C₂²	1	8	yes	complemented
69	#187944	C₂²	1	4	yes	complemented
70	#187944	C₂²	1	4	yes	complemented
71	#187934	C₂²	1	32	yes	complemented
72	#187928	C₂²	1	8	yes	complemented
73	#187928	C₂²	1	32	yes	complemented
74	#187928	C₂²	1	8	yes	complemented
75	#187928	C₂²	1	8	yes	complemented
76	#187928	C₂²	1	8	yes	complemented
77	C₂×#8534	C₂²	1	32	yes	complemented
78	C₂³×H(5,𝔽₂)	D₄	1	4	yes	complemented
79	C₂⁵×D₄	D₄	1	2	yes	complemented
80	C₂⁵×D₄	C₂³	1	2	yes	—
81	#62832	C₂³	1	16	yes	—
82	#62818	C₂³	1	32	yes	—
83	#62817	D₄	1	16	yes	complemented
84	#62817	C₂³	1	16	yes	—
85	#62817	C₂³	1	16	yes	—
86	C₂×#3490	D₄	1	8	yes	complemented
87	C₂×#3490	C₂³	1	4	yes	—
88	C₂×#3484	D₄	1	8	yes	complemented
89	C₂×#3484	D₄	1	16	yes	complemented
90	C₂×#3484	D₄	1	8	yes	complemented
91	C₂×#3484	D₄	1	8	yes	complemented
92	C₂×#3484	D₄	1	16	yes	complemented
93	C₂×#3484	C₂³	1	16	yes	—
94	C₂×#3484	C₂³	1	4	yes	—
95	C₂×#3484	C₂³	1	16	yes	—
96	C₂×#3484	C₂³	1	8	yes	—
97	C₂×#3484	C₂³	1	8	yes	—
98	C₂²×D₄²	D₄	1	4	yes	complemented
99	C₂²×D₄²	D₄	1	4	yes	complemented
100	C₂²×D₄²	C₂³	1	8	yes	—
101	C₂²×#534	D₄	1	8	yes	complemented
102	C₂²×#534	C₂³	1	1	yes	characteristic, complemented
103	C₂²×#534	C₂³	1	4	yes	complemented
104	C₂³×#127	C₂³	1	1	yes	characteristic
105	C₂³×#121	D₄	1	2	yes	complemented
106	C₂³×#121	C₂³	1	2	yes	—
107	C₂³×#120	D₄	1	2	yes	complemented
108	C₂³×#120	C₂³	1	4	yes	—
109	C₂³×#120	C₂³	1	1	yes	characteristic
110	C₂³×#120	C₂³	1	1	yes	characteristic
111	C₂³×#120	C₂³	1	1	yes	characteristic, complemented
112	C₂²×#518	D₄	1	4	yes	complemented
113	C₂³×C₄×D₄	D₄	1	2	yes	complemented
114	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
115	#34992	C₂³	1	8	yes	complemented
116	#34992	C₂³	1	16	yes	complemented
117	#34980	C₂³	1	8	yes	complemented
118	#34980	C₂³	1	16	yes	complemented
119	C₂×#2412	C₂³	1	4	yes	complemented
120	C₂×#2405	C₂³	1	2	yes	complemented
121	C₂×#2405	C₂³	1	2	yes	complemented
122	C₂×#2405	C₂³	1	4	yes	complemented
123	C₂×#2410	C₂³	1	4	yes	complemented
124	C₂×#2403	C₂³	1	2	yes	complemented
125	C₂×#2403	C₂³	1	2	yes	complemented
126	C₂×#2403	C₂³	1	4	yes	complemented
127	C₂×#2315	C₂³	1	1	yes	characteristic, complemented
128	C₂×#2308	C₂³	1	1	yes	characteristic, complemented
129	C₂×#2308	C₂³	1	1	yes	characteristic, complemented
130	C₂×#2308	C₂³	1	4	yes	complemented
131	C₂²×#379	C₂³	1	4	yes	complemented
132	C₂²×#379	C₂³	1	2	yes	complemented
133	#24112	C₂³	1	32	yes	complemented
134	#24056	C₂³	1	32	yes	complemented
135	#24056	C₂³	1	32	yes	complemented
136	#24056	C₂³	1	32	yes	complemented
137	#24056	C₂³	1	32	yes	complemented
138	#24056	C₂³	1	32	yes	complemented
139	#23985	C₂³	1	16	yes	complemented
140	#23984	C₂³	1	16	yes	complemented
141	#23901	C₂³	1	32	yes	complemented
142	#23901	C₂³	1	32	yes	complemented
143	#23901	C₂³	1	16	yes	complemented
144	#23900	C₂³	1	32	yes	complemented
145	#23900	C₂³	1	32	yes	complemented
146	#23900	C₂³	1	16	yes	complemented
147	#21746	C₂³	1	16	yes	complemented
148	#21746	C₂³	1	16	yes	complemented
149	#21746	C₂³	1	32	yes	complemented
150	#21746	C₂³	1	16	yes	complemented
151	C₂×#1898	C₂³	1	8	yes	complemented
152	C₂×#1898	C₂³	1	8	yes	complemented
153	C₂×#1898	C₂³	1	32	yes	complemented
154	C₂×#1898	C₂³	1	32	yes	complemented
155	C₂×#1819	C₂³	1	4	yes	complemented
156	C₂×#1781	C₂³	1	4	yes	complemented
157	C₂×#1781	C₂³	1	8	yes	complemented
158	C₂×#1781	C₂³	1	8	yes	complemented
159	C₂×#1781	C₂³	1	16	yes	complemented
160	C₂×#1781	C₂³	1	16	yes	complemented
161	#15984	C₂³	1	8	yes	complemented
162	#15950	C₂³	1	8	yes	complemented
163	#15948	C₂³	1	4	yes	complemented
164	#15948	C₂³	1	8	yes	complemented
165	#15947	C₂³	1	4	yes	complemented
166	#15261	C₂³	1	4	yes	complemented
167	#15261	C₂³	1	8	yes	complemented
168	#15260	C₂³	1	8	yes	complemented
169	#15258	C₂³	1	4	yes	complemented
170	#15257	C₂³	1	8	yes	complemented
171	#14341	C₂³	1	2	yes	complemented
172	#14335	C₂³	1	1	yes	characteristic, complemented
173	#14335	C₂³	1	1	yes	characteristic, complemented
174	#14255	C₂³	1	8	yes	complemented
175	#13867	C₂³	1	2	yes	complemented
176	#13867	C₂³	1	2	yes	complemented
177	#13867	C₂³	1	2	yes	complemented
178	#13867	C₂³	1	2	yes	complemented
179	#13867	C₂³	1	8	yes	complemented
180	C₂×#1438	C₂³	1	8	yes	complemented
181	#8546	C₂³	1	16	yes	complemented
182	#8542	C₂³	1	32	yes	complemented
183	#8541	C₂³	1	16	yes	complemented
184	#8535	C₂³	1	64	yes	complemented
185	#8534	C₂³	1	64	yes	complemented
186	#8534	C₂³	1	64	yes	complemented
187	#8534	C₂³	1	64	yes	complemented
188	#8534	C₂³	1	64	yes	complemented
189	#8534	C₂³	1	32	yes	complemented
190	#8534	C₂³	1	32	yes	complemented
191	C₂⁷	C₂×D₄	1	1	yes	characteristic
192	C₂⁷	C₂×D₄	1	2	yes	—
193	C₂⁷	C₂⁴	1	1	yes	characteristic
194	C₂²×H(5,𝔽₂)	C₂×D₄	1	16	yes	—
195	C₂²×H(5,𝔽₂)	C₂×D₄	1	16	yes	—
196	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
197	C₂²×H(5,𝔽₂)	C₂×D₄	1	8	yes	—
198	C₂²×H(5,𝔽₂)	C₂×D₄	1	8	yes	—
199	C₂⁴×D₄	C₂×D₄	1	4	yes	—
200	C₂⁴×D₄	C₂×D₄	1	8	yes	—
201	C₂⁴×D₄	C₂×D₄	1	8	yes	—
202	C₂⁴×D₄	C₂×D₄	1	4	yes	—
203	C₂⁴×D₄	C₂×D₄	1	4	yes	—
204	C₂⁴×D₄	C₂×D₄	1	4	yes	—
205	C₂⁴×D₄	C₂×D₄	1	8	yes	—
206	C₂⁴×D₄	C₂×D₄	1	4	yes	—
207	C₂⁴×D₄	C₂×D₄	1	8	yes	—
208	C₂⁴×D₄	C₂×D₄	1	2	yes	—
209	C₂⁴×D₄	C₂×D₄	1	2	yes	—
210	C₂⁴×D₄	C₂×D₄	1	8	yes	—
211	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
212	C₂⁴×D₄	C₂×D₄	1	2	yes	—
213	C₂⁴×D₄	C₂×D₄	1	4	yes	—
214	C₂⁴×D₄	C₂×D₄	1	2	yes	—
215	C₂⁴×D₄	C₂×D₄	1	2	yes	—
216	C₂⁴×D₄	C₂×D₄	1	4	yes	—
217	C₂⁴×D₄	C₂⁴	1	4	yes	—
218	C₂⁴×D₄	C₂⁴	1	4	yes	—
219	C₂⁴×D₄	C₂⁴	1	2	yes	—
220	C₂⁴×D₄	C₂⁴	1	2	yes	—
221	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
222	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
223	C₂⁴×D₄	C₂⁴	1	2	yes	complemented
224	C₂⁵×C₄	C₂×D₄	1	2	yes	—
225	C₂⁵×C₄	C₂×D₄	1	2	yes	—
226	#3490	C₂×D₄	1	64	yes	—
227	#3490	C₂×D₄	1	16	yes	—
228	#3490	C₂⁴	1	16	yes	—
229	#3484	C₂×D₄	1	64	yes	—
230	#3484	C₂×D₄	1	32	yes	—
231	#3484	C₂×D₄	1	32	yes	—
232	#3484	C₂×D₄	1	32	yes	—
233	#3484	C₂×D₄	1	32	yes	—
234	#3484	C₂×D₄	1	32	yes	—
235	#3484	C₂×D₄	1	32	yes	—
236	#3484	C₂×D₄	1	16	yes	—
237	#3484	C₂⁴	1	32	yes	—
238	#3484	C₂⁴	1	32	yes	—
239	#3484	C₂⁴	1	16	yes	—
240	C₂×#543	C₂×D₄	1	4	yes	—
241	C₂×#534	C₂×D₄	1	16	yes	—
242	C₂×#534	C₂×D₄	1	4	yes	—
243	C₂×#534	C₂×D₄	1	8	yes	—
244	C₂×#534	C₂×D₄	1	32	yes	—
245	C₂×#534	C₂×D₄	1	32	yes	—
246	C₂×#534	C₂×D₄	1	16	yes	—
247	C₂²×#127	C₂×D₄	1	4	yes	—
248	C₂²×#127	C₂⁴	1	4	yes	—
249	C₂²×#123	C₂⁴	1	4	yes	complemented
250	C₂²×#123	C₂⁴	1	2	yes	complemented
251	C₂²×#123	C₂⁴	1	4	yes	complemented
252	C₂²×#121	C₂×D₄	1	8	yes	—
253	C₂²×#121	C₂×D₄	1	8	yes	—
254	C₂²×#121	C₂×D₄	1	8	yes	—
255	C₂²×#121	C₂⁴	1	8	yes	—
256	C₂²×#120	C₂×D₄	1	8	yes	—
257	C₂²×#120	C₂×D₄	1	8	yes	—
258	C₂²×#120	C₂×D₄	1	8	yes	—
259	C₂²×#120	C₂×D₄	1	16	yes	—
260	C₂²×#120	C₂×D₄	1	16	yes	—
261	C₂²×#120	C₂×D₄	1	16	yes	—
262	C₂²×#120	C₂×D₄	1	16	yes	—
263	C₂²×#120	C₂×D₄	1	8	yes	—
264	C₂²×#120	C₂×D₄	1	8	yes	—
265	C₂²×#120	C₂×D₄	1	4	yes	—
266	C₂²×#120	C₂×D₄	1	2	yes	—
267	C₂²×#120	C₂×D₄	1	2	yes	—
268	C₂²×#120	C₂⁴	1	4	yes	—
269	C₂²×#120	C₂⁴	1	8	yes	—
270	C₂²×#120	C₂⁴	1	16	yes	—
271	C₂²×#120	C₂⁴	1	4	yes	—
272	C₂²×#120	C₂⁴	1	4	yes	complemented
273	C₂²×#120	C₂⁴	1	2	yes	complemented
274	C₂²×#120	C₂⁴	1	4	yes	complemented
275	C₂×#518	C₂×D₄	1	16	yes	—
276	C₂×#518	C₂×D₄	1	16	yes	—
277	C₂×#518	C₂×D₄	1	8	yes	—
278	C₂×#518	C₂×D₄	1	8	yes	—
279	C₂×#518	C₂×D₄	1	8	yes	—
280	C₂×#518	C₂×D₄	1	4	yes	—
281	C₂²×C₄×D₄	C₂×D₄	1	8	yes	—
282	C₂²×C₄×D₄	C₂×D₄	1	8	yes	—
283	C₂³×C₄⋊C₄	C₂×D₄	1	2	yes	—
284	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
285	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
286	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
287	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
288	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
289	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	—
290	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
291	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
292	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
293	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
294	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	complemented
295	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	complemented
296	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	complemented
297	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
298	#2849	C₂⁴	1	32	yes	complemented
299	#2849	C₂⁴	1	16	yes	complemented
300	#2846	C₂⁴	1	16	yes	complemented
301	C₂×#386	C₂⁴	1	4	yes	complemented
302	C₂×#386	C₂⁴	1	4	yes	complemented
303	C₂×#386	C₂⁴	1	4	yes	complemented
304	C₂×#386	C₂⁴	1	4	yes	complemented
305	C₂×#386	C₂⁴	1	4	yes	complemented
306	C₂×#385	C₂⁴	1	4	yes	complemented
307	C₂×#381	C₂⁴	1	2	yes	complemented
308	C₂×#379	C₂⁴	1	8	yes	—
309	C₂×#379	C₂⁴	1	2	yes	—
310	C₂×#379	C₂⁴	1	2	yes	—
311	C₂×#379	C₂⁴	1	16	yes	complemented
312	C₂×#379	C₂⁴	1	4	yes	complemented
313	C₂×#379	C₂⁴	1	2	yes	complemented
314	#1898	C₂⁴	1	32	yes	complemented
315	#1898	C₂⁴	1	32	yes	complemented
316	#1898	C₂⁴	1	64	yes	complemented
317	#1898	C₂⁴	1	64	yes	complemented
318	#1819	C₂⁴	1	16	yes	complemented
319	#1781	C₂⁴	1	32	yes	complemented
320	#1781	C₂⁴	1	16	yes	complemented
321	#1781	C₂⁴	1	32	yes	complemented
322	#1440	C₂⁴	1	8	yes	complemented
323	#1438	C₂⁴	1	8	yes	complemented
324	#1438	C₂⁴	1	8	yes	complemented
325	#1438	C₂⁴	1	8	yes	complemented
326	#1438	C₂⁴	1	8	yes	complemented
327	#1438	C₂⁴	1	4	yes	complemented
328	#1438	C₂⁴	1	4	yes	complemented
329	C₂⁶	#120	1	4	yes	—
330	C₂⁶	#120	1	8	yes	—
331	C₂⁶	#120	1	4	yes	—
332	C₂⁶	#120	1	4	yes	complemented
333	C₂⁶	C₂²×D₄	1	4	yes	—
334	C₂⁶	C₂²×D₄	1	2	yes	—
335	C₂⁶	C₂²×D₄	1	4	yes	—
336	C₂⁶	C₂²×D₄	1	1	yes	characteristic
337	C₂⁶	C₂²×D₄	1	2	yes	—
338	C₂⁶	C₂²×D₄	1	4	yes	—
339	C₂⁶	C₂²×D₄	1	1	yes	characteristic
340	C₂⁶	C₂²×D₄	1	2	yes	—
341	C₂⁶	C₂²×D₄	1	4	yes	—
342	C₂⁶	C₂²×D₄	1	4	yes	—
343	C₂⁶	C₂²×D₄	1	4	yes	—
344	C₂⁶	C₂²×D₄	1	4	yes	—
345	C₂⁶	C₂²×D₄	1	4	yes	—
346	C₂⁶	C₂²×D₄	1	4	yes	—
347	C₂⁶	C₂²×D₄	1	1	yes	characteristic
348	C₂⁶	C₂⁵	1	1	yes	characteristic
349	C₂⁶	C₂⁵	1	1	yes	characteristic
350	C₂⁶	C₂⁵	1	2	yes	—
351	C₂×H(5,𝔽₂)	C₂²×D₄	1	32	yes	—
352	C₂×H(5,𝔽₂)	C₂²×D₄	1	32	yes	—
353	C₂×H(5,𝔽₂)	C₂²×D₄	1	16	yes	—
354	C₂³×D₄	#120	1	2	yes	—
355	C₂³×D₄	#120	1	4	yes	—
356	C₂³×D₄	#120	1	8	yes	—
357	C₂³×D₄	#120	1	2	yes	—
358	C₂³×D₄	#120	1	2	yes	—
359	C₂³×D₄	#120	1	2	yes	—
360	C₂³×D₄	#120	1	4	yes	—
361	C₂³×D₄	#120	1	8	yes	—
362	C₂³×D₄	#120	1	4	yes	—
363	C₂³×D₄	#120	1	4	yes	—
364	C₂³×D₄	#120	1	8	yes	—
365	C₂³×D₄	#120	1	8	yes	—
366	C₂³×D₄	#120	1	8	yes	—
367	C₂³×D₄	#120	1	8	yes	—
368	C₂³×D₄	#120	1	8	yes	—
369	C₂³×D₄	#120	1	8	yes	—
370	C₂³×D₄	#120	1	8	yes	—
371	C₂³×D₄	#120	1	8	yes	—
372	C₂³×D₄	#120	1	4	yes	—
373	C₂³×D₄	#120	1	4	yes	—
374	C₂³×D₄	#120	1	16	yes	complemented
375	C₂³×D₄	#120	1	16	yes	complemented
376	C₂³×D₄	#120	1	16	yes	complemented
377	C₂³×D₄	#120	1	8	yes	complemented
378	C₂³×D₄	#120	1	16	yes	complemented
379	C₂³×D₄	C₂²×D₄	1	8	yes	—
380	C₂³×D₄	C₂²×D₄	1	8	yes	—
381	C₂³×D₄	C₂²×D₄	1	16	yes	—
382	C₂³×D₄	C₂²×D₄	1	8	yes	—
383	C₂³×D₄	C₂²×D₄	1	4	yes	—
384	C₂³×D₄	C₂²×D₄	1	4	yes	—
385	C₂³×D₄	C₂²×D₄	1	4	yes	—
386	C₂³×D₄	C₂²×D₄	1	8	yes	—
387	C₂³×D₄	C₂²×D₄	1	8	yes	—
388	C₂³×D₄	C₂²×D₄	1	8	yes	—
389	C₂³×D₄	C₂²×D₄	1	8	yes	—
390	C₂³×D₄	C₂²×D₄	1	8	yes	—
391	C₂³×D₄	C₂²×D₄	1	8	yes	—
392	C₂³×D₄	C₂²×D₄	1	8	yes	—
393	C₂³×D₄	C₂²×D₄	1	4	yes	—
394	C₂³×D₄	C₂²×D₄	1	4	yes	—
395	C₂³×D₄	C₂²×D₄	1	4	yes	—
396	C₂³×D₄	C₂²×D₄	1	8	yes	—
397	C₂³×D₄	C₂²×D₄	1	16	yes	—
398	C₂³×D₄	C₂²×D₄	1	16	yes	—
399	C₂³×D₄	C₂²×D₄	1	16	yes	—
400	C₂³×D₄	C₂²×D₄	1	4	yes	—
401	C₂³×D₄	C₂²×D₄	1	8	yes	—
402	C₂³×D₄	C₂²×D₄	1	8	yes	—
403	C₂³×D₄	C₂²×D₄	1	4	yes	—
404	C₂³×D₄	C₂²×D₄	1	4	yes	—
405	C₂³×D₄	C₂²×D₄	1	4	yes	—
406	C₂³×D₄	C₂²×D₄	1	4	yes	—
407	C₂³×D₄	C₂²×D₄	1	4	yes	—
408	C₂³×D₄	C₂²×D₄	1	4	yes	—
409	C₂³×D₄	C₂²×D₄	1	4	yes	—
410	C₂³×D₄	C₂²×D₄	1	4	yes	—
411	C₂³×D₄	C₂²×D₄	1	2	yes	—
412	C₂³×D₄	C₂⁵	1	4	yes	—
413	C₂³×D₄	C₂⁵	1	4	yes	—
414	C₂³×D₄	C₂⁵	1	2	yes	—
415	C₂⁴×C₄	#120	1	4	yes	—
416	C₂⁴×C₄	#120	1	8	yes	—
417	C₂⁴×C₄	#120	1	4	yes	—
418	C₂⁴×C₄	#120	1	8	yes	complemented
419	C₂⁴×C₄	#120	1	4	yes	complemented
420	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
421	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
422	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
423	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
424	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
425	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
426	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
427	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
428	C₂⁴×C₄	C₂⁵	1	2	yes	—
429	#543	C₂²×D₄	1	16	yes	—
430	#534	C₂²×D₄	1	64	yes	—
431	#534	C₂²×D₄	1	64	yes	—
432	#534	C₂²×D₄	1	16	yes	—
433	#534	C₂²×D₄	1	32	yes	—
434	C₂×#120	#120	1	16	yes	—
435	C₂×#120	#120	1	16	yes	—
436	C₂×#120	#120	1	16	yes	complemented
437	C₂×#120	#120	1	16	yes	complemented
438	C₂×#120	#120	1	32	yes	complemented
439	C₂×#120	#120	1	32	yes	complemented
440	C₂×#120	C₂²×D₄	1	16	yes	—
441	C₂×#120	C₂²×D₄	1	32	yes	—
442	C₂×#120	C₂²×D₄	1	32	yes	—
443	C₂×#120	C₂²×D₄	1	32	yes	—
444	C₂×#120	C₂²×D₄	1	32	yes	—
445	C₂×#120	C₂²×D₄	1	32	yes	—
446	C₂×#120	C₂⁵	1	16	yes	—
447	#518	C₂²×D₄	1	32	yes	—
448	#518	C₂²×D₄	1	32	yes	—
449	#518	C₂²×D₄	1	32	yes	—
450	#518	C₂²×D₄	1	16	yes	—
451	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
452	C₂²×C₂²⋊C₄	#120	1	8	yes	—
453	C₂²×C₂²⋊C₄	#120	1	8	yes	—
454	C₂²×C₂²⋊C₄	#120	1	16	yes	complemented
455	C₂²×C₂²⋊C₄	#120	1	8	yes	complemented
456	C₂²×C₂²⋊C₄	#120	1	16	yes	complemented
457	C₂²×C₂²⋊C₄	#120	1	16	yes	complemented
458	C₂²×C₂²⋊C₄	#120	1	16	yes	complemented
459	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
460	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
461	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
462	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
463	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
464	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
465	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
466	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
467	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
468	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
469	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
470	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
471	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
472	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
473	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
474	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
475	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
476	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
477	C₂²×C₄²	C₂²×D₄	1	4	yes	—
478	#379	C₂⁵	1	16	yes	—
479	C₂⁵	C₂×#120	1	2	yes	—
480	C₂⁵	C₂×#120	1	2	yes	—
481	C₂⁵	C₂×#120	1	8	yes	—
482	C₂⁵	C₂×#120	1	4	yes	—
483	C₂⁵	C₂×#120	1	2	yes	—
484	C₂⁵	C₂×#120	1	4	yes	—
485	C₂⁵	C₂×#120	1	4	yes	—
486	C₂⁵	C₂×#120	1	2	yes	—
487	C₂⁵	C₂×#120	1	8	yes	—
488	C₂⁵	C₂×#120	1	4	yes	—
489	C₂⁵	C₂×#120	1	2	yes	—
490	C₂⁵	C₂×#120	1	4	yes	—
491	C₂⁵	C₂×#120	1	8	yes	—
492	C₂⁵	C₂×#120	1	2	yes	—
493	C₂⁵	C₂×#120	1	8	yes	—
494	C₂⁵	C₂×#120	1	8	yes	—
495	C₂⁵	C₂×#120	1	16	yes	—
496	C₂⁵	C₂×#120	1	4	yes	—
497	C₂⁵	C₂×#120	1	4	yes	—
498	C₂⁵	C₂×#120	1	4	yes	—
499	C₂⁵	C₂×#120	1	4	yes	—
500	C₂⁵	C₂×#120	1	4	yes	—
501	C₂⁵	C₂×#120	1	8	yes	—
502	C₂⁵	C₂×#120	1	8	yes	—
503	C₂⁵	C₂×#120	1	2	yes	—
504	C₂⁵	C₂×#120	1	2	yes	—
505	C₂⁵	C₂×#120	1	4	yes	—
506	C₂⁵	C₂×#120	1	8	yes	—
507	C₂⁵	C₂×#120	1	4	yes	—
508	C₂⁵	C₂×#120	1	4	yes	—
509	C₂⁵	C₂×#120	1	4	yes	—
510	C₂⁵	C₂×#120	1	4	yes	—
511	C₂⁵	C₂×#120	1	8	yes	—
512	C₂⁵	C₂×#120	1	8	yes	—
513	C₂⁵	C₂×#120	1	4	yes	—
514	C₂⁵	C₂×#120	1	4	yes	—
515	C₂⁵	C₂×#120	1	8	yes	—
516	C₂⁵	C₂³×D₄	1	4	yes	—
517	C₂⁵	C₂³×D₄	1	1	yes	characteristic
518	C₂⁵	C₂³×D₄	1	2	yes	—
519	C₂⁵	C₂³×D₄	1	2	yes	—
520	C₂⁵	C₂³×D₄	1	4	yes	—
521	C₂⁵	C₂³×D₄	1	2	yes	—
522	C₂⁵	C₂³×D₄	1	4	yes	—
523	C₂⁵	C₂³×D₄	1	2	yes	—
524	C₂⁵	C₂³×D₄	1	1	yes	characteristic
525	C₂⁵	C₂³×D₄	1	4	yes	—
526	C₂⁵	C₂³×D₄	1	8	yes	—
527	C₂⁵	C₂³×D₄	1	4	yes	—
528	C₂⁵	C₂³×D₄	1	4	yes	—
529	C₂⁵	C₂³×D₄	1	4	yes	—
530	C₂⁵	C₂³×D₄	1	2	yes	—
531	C₂⁵	C₂³×D₄	1	4	yes	—
532	C₂⁵	C₂⁶	1	1	yes	characteristic
533	C₂²×D₄	C₂×#120	1	4	yes	—
534	C₂²×D₄	C₂×#120	1	4	yes	—
535	C₂²×D₄	C₂×#120	1	8	yes	—
536	C₂²×D₄	C₂×#120	1	4	yes	—
537	C₂²×D₄	C₂×#120	1	4	yes	—
538	C₂²×D₄	C₂×#120	1	4	yes	—
539	C₂²×D₄	C₂×#120	1	4	yes	—
540	C₂²×D₄	C₂×#120	1	8	yes	—
541	C₂²×D₄	C₂×#120	1	8	yes	—
542	C₂²×D₄	C₂×#120	1	4	yes	—
543	C₂²×D₄	C₂×#120	1	4	yes	—
544	C₂²×D₄	C₂×#120	1	8	yes	—
545	C₂²×D₄	C₂×#120	1	8	yes	—
546	C₂²×D₄	C₂×#120	1	16	yes	—
547	C₂²×D₄	C₂×#120	1	8	yes	—
548	C₂²×D₄	C₂×#120	1	8	yes	—
549	C₂²×D₄	C₂×#120	1	8	yes	—
550	C₂²×D₄	C₂×#120	1	16	yes	—
551	C₂²×D₄	C₂×#120	1	32	yes	—
552	C₂²×D₄	C₂×#120	1	8	yes	—
553	C₂²×D₄	C₂×#120	1	16	yes	—
554	C₂²×D₄	C₂×#120	1	32	yes	—
555	C₂²×D₄	C₂×#120	1	32	yes	—
556	C₂²×D₄	C₂×#120	1	32	yes	—
557	C₂²×D₄	C₂³×D₄	1	8	yes	—
558	C₂²×D₄	C₂³×D₄	1	8	yes	—
559	C₂²×D₄	C₂³×D₄	1	8	yes	—
560	C₂²×D₄	C₂³×D₄	1	16	yes	—
561	C₂²×D₄	C₂³×D₄	1	8	yes	—
562	C₂²×D₄	C₂³×D₄	1	32	yes	—
563	C₂²×D₄	C₂³×D₄	1	8	yes	—
564	C₂³×C₄	C₂×#120	1	2	yes	—
565	C₂³×C₄	C₂×#120	1	2	yes	—
566	C₂³×C₄	C₂×#120	1	4	yes	—
567	C₂³×C₄	C₂×#120	1	8	yes	—
568	C₂³×C₄	C₂×#120	1	8	yes	—
569	C₂³×C₄	C₂×#120	1	4	yes	—
570	C₂³×C₄	C₂×#120	1	4	yes	—
571	C₂³×C₄	C₂×#120	1	2	yes	—
572	C₂³×C₄	C₂×#120	1	8	yes	—
573	C₂³×C₄	C₂×#120	1	16	yes	—
574	C₂³×C₄	C₂×#120	1	2	yes	—
575	C₂³×C₄	C₂×#120	1	8	yes	—
576	C₂³×C₄	C₂×#120	1	8	yes	—
577	C₂³×C₄	C₂×#120	1	4	yes	—
578	C₂³×C₄	C₂×#120	1	4	yes	—
579	C₂³×C₄	C₂×#120	1	16	yes	—
580	C₂³×C₄	C₂×#120	1	16	yes	—
581	C₂³×C₄	C₂×#120	1	16	yes	—
582	C₂³×C₄	C₂³×D₄	1	4	yes	—
583	C₂³×C₄	C₂³×D₄	1	2	yes	—
584	C₂³×C₄	C₂³×D₄	1	4	yes	—
585	C₂³×C₄	C₂³×D₄	1	4	yes	—
586	C₂×C₂²⋊C₄	C₂×#120	1	16	yes	—
587	C₂×C₂²⋊C₄	C₂×#120	1	16	yes	—
588	C₂×C₂²⋊C₄	C₂×#120	1	32	yes	—
589	C₂×C₂²⋊C₄	C₂×#120	1	32	yes	—
590	C₂×C₂²⋊C₄	C₂×#120	1	32	yes	—
591	C₂×C₂²⋊C₄	C₂×#120	1	16	yes	—
592	C₂×C₂²⋊C₄	C₂×#120	1	32	yes	—
593	C₂×C₂²⋊C₄	C₂×#120	1	8	yes	—
594	C₂×C₂²⋊C₄	C₂³×D₄	1	32	yes	—
595	C₂×C₂²⋊C₄	C₂³×D₄	1	16	yes	—
596	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
597	C₂⁴	#2846	1	4	yes	—
598	C₂⁴	#2846	1	4	yes	—
599	C₂⁴	#2846	1	4	yes	—
600	C₂⁴	#2846	1	4	yes	—
601	C₂⁴	#2846	1	4	yes	—
602	C₂⁴	#2846	1	4	yes	—
603	C₂⁴	#2846	1	4	yes	—
604	C₂⁴	#2846	1	8	yes	—
605	C₂⁴	#2846	1	4	yes	—
606	C₂⁴	#2846	1	8	yes	—
607	C₂⁴	#2846	1	4	yes	—
608	C₂⁴	#2846	1	4	yes	—
609	C₂⁴	#2846	1	4	yes	—
610	C₂⁴	#2846	1	4	yes	—
611	C₂⁴	C₂²×#120	1	2	yes	—
612	C₂⁴	C₂²×#120	1	4	yes	—
613	C₂⁴	C₂²×#120	1	4	yes	—
614	C₂⁴	C₂²×#120	1	2	yes	—
615	C₂⁴	C₂²×#120	1	8	yes	—
616	C₂⁴	C₂²×#120	1	4	yes	—
617	C₂⁴	C₂²×#120	1	4	yes	—
618	C₂⁴	C₂²×#120	1	2	yes	—
619	C₂⁴	C₂²×#120	1	4	yes	—
620	C₂⁴	C₂²×#120	1	4	yes	—
621	C₂⁴	C₂²×#120	1	4	yes	—
622	C₂⁴	C₂²×#120	1	4	yes	—
623	C₂⁴	C₂²×#120	1	8	yes	—
624	C₂⁴	C₂²×#120	1	2	yes	—
625	C₂⁴	C₂²×#120	1	8	yes	—
626	C₂⁴	C₂²×#120	1	4	yes	—
627	C₂⁴	C₂²×#120	1	2	yes	—
628	C₂⁴	C₂²×#120	1	2	yes	—
629	C₂⁴	C₂²×#120	1	1	yes	characteristic
630	C₂⁴	C₂²×#120	1	4	yes	—
631	C₂⁴	C₂²×#120	1	16	yes	—
632	C₂⁴	C₂²×#120	1	8	yes	—
633	C₂⁴	C₂²×#120	1	8	yes	—
634	C₂⁴	C₂²×#120	1	8	yes	—
635	C₂⁴	C₂²×#120	1	2	yes	—
636	C₂⁴	C₂²×#120	1	1	yes	characteristic
637	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
638	C₂⁴	C₂⁴×D₄	1	4	yes	—
639	C₂⁴	C₂⁴×D₄	1	2	yes	—
640	C₂×D₄	#3026	1	16	yes	complemented
641	C₂²×C₄	C₂²×#120	1	4	yes	—
642	C₂²×C₄	C₂²×#120	1	4	yes	—
643	C₂²×C₄	C₂²×#120	1	8	yes	—
644	C₂²×C₄	C₂²×#120	1	4	yes	—
645	C₂²×C₄	C₂²×#120	1	8	yes	—
646	C₂²×C₄	C₂²×#120	1	16	yes	—
647	C₂²×C₄	C₂²×#120	1	32	yes	—
648	C₂³	C₂×#2846	1	4	yes	—
649	C₂³	C₂×#2846	1	4	yes	—
650	C₂³	C₂×#2846	1	2	yes	—
651	C₂³	C₂×#2846	1	4	yes	—
652	C₂³	C₂×#2846	1	4	yes	—
653	C₂³	C₂×#2846	1	4	yes	—
654	C₂³	C₂×#2846	1	1	yes	characteristic
655	C₂³	C₂×#2846	1	1	yes	characteristic
656	C₂³	C₂×#3026	1	8	yes	—
657	C₂³	C₂×#3026	1	8	yes	—
658	C₂³	#60399	1	2	yes	—
659	C₂³	#60401	1	2	yes	—
660	C₂³	C₂³×#120	1	4	yes	—
661	C₂³	C₂³×#120	1	2	yes	—
662	C₂³	C₂³×#120	1	1	yes	characteristic
663	C₂×C₄	C₂×#3026	1	8	yes	—
664	C₂²	#6628892	1	8	yes	—
665	C₂²	#6628900	1	2	yes	—
666	C₂²	#6628900	1	2	yes	—
667	C₂²	C₂²×#2846	1	1	yes	characteristic
668	C₂²	C₂²×#3026	1	4	yes	—
669	C₂²	C₂×#60399	1	1	yes	characteristic
670	C₂²	C₂×#60401	1	1	yes	characteristic
671	C₂	C₂×#6628892	1	2	yes	—
672	C₂	C₂×#6628900	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂²×#2846
commutator, Frattini, cosocle	C₂⁵	C₂⁶
LCS	G ▷ C₂⁵ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁷ ◁ G
LECS	G ▷ C₂⁵ ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72262798	C₂	semidirect
2. #72262701	C₂	semidirect
3. #72255905	C₂	semidirect
4. #72255754	C₂	semidirect
5. #72237372	C₂	semidirect
6. C₂×#187928	C₂	semidirect
7. #72235768	C₂	semidirect
8. #72234661	C₂	semidirect
9. #72234609	C₂	semidirect
10. #72233581	C₂	semidirect
11. C₂×#10586472	C₂	semidirect
12. #72233423	C₂	semidirect
13. #72233058	C₂	semidirect
14. #72232592	C₂	semidirect
15. C₂×#188035	C₂	semidirect
23. #7641845	C₂²	semidirect
24. C₂×#34981	C₂²	semidirect
25. C₂×#34980	C₂²	semidirect
26. #6500011	C₂²	semidirect
27. #6500010	C₂²	semidirect
28. #6470226	C₂²	semidirect
29. #6470226	C₂²	semidirect
30. #6470226	C₂²	semidirect
31. #6470225	C₂²	semidirect
32. #6470225	C₂²	semidirect
33. #6470225	C₂²	semidirect
34. #6453039	C₂²	semidirect
35. #6451874	C₂²	semidirect
36. #6440460	C₂²	semidirect
37. #6440460	C₂²	semidirect
38. #6437621	C₂²	semidirect
39. #6437621	C₂²	semidirect
40. C₂×#21746	C₂²	semidirect
41. C₂×#21746	C₂²	semidirect
42. C₂²×#1898	C₂²	semidirect
43. C₂²×#1781	C₂²	semidirect
44. #705152	C₂²	semidirect
45. #687584	C₂²	semidirect
46. #618455	C₂²	semidirect
47. #618316	C₂²	semidirect
48. #617875	C₂²	semidirect
49. #617710	C₂²	semidirect
50. #617161	C₂²	semidirect
51. #616960	C₂²	semidirect
52. #556752	C₂²	semidirect
53. C₂×#13867	C₂²	semidirect
54. #347056	C₂²	semidirect
55. #347056	C₂²	semidirect
56. #347055	C₂²	semidirect
57. #347052	C₂²	semidirect
58. #347049	C₂²	semidirect
59. #347048	C₂²	semidirect
60. #347048	C₂²	semidirect
61. #347047	C₂²	semidirect
62. #347043	C₂²	semidirect
63. #347042	C₂²	semidirect
64. #188035	C₂²	semidirect
65. C₂×#8546	C₂²	semidirect
66. C₂×#8542	C₂²	semidirect
67. C₂×#8541	C₂²	semidirect
68. #187945	C₂²	semidirect
69. #187944	C₂²	semidirect
70. #187944	C₂²	semidirect
71. #187934	C₂²	semidirect
72. #187928	C₂²	semidirect
73. #187928	C₂²	semidirect
74. #187928	C₂²	semidirect
75. #187928	C₂²	semidirect
76. #187928	C₂²	semidirect
77. C₂×#8534	C₂²	semidirect
78. C₂³×H(5,𝔽₂)	D₄	semidirect
79. C₂⁵×D₄	D₄	semidirect
83. #62817	D₄	semidirect
86. C₂×#3490	D₄	semidirect
88. C₂×#3484	D₄	semidirect
89. C₂×#3484	D₄	semidirect
90. C₂×#3484	D₄	semidirect
91. C₂×#3484	D₄	semidirect
92. C₂×#3484	D₄	semidirect
98. C₂²×D₄²	D₄	semidirect
99. C₂²×D₄²	D₄	semidirect
101. C₂²×#534	D₄	semidirect
102. C₂²×#534	C₂³	semidirect
103. C₂²×#534	C₂³	semidirect
105. C₂³×#121	D₄	semidirect
107. C₂³×#120	D₄	semidirect
111. C₂³×#120	C₂³	semidirect
112. C₂²×#518	D₄	semidirect
113. C₂³×C₄×D₄	D₄	semidirect
114. C₂⁴×C₂²⋊C₄	C₂³	semidirect
115. #34992	C₂³	semidirect
116. #34992	C₂³	semidirect
117. #34980	C₂³	semidirect
118. #34980	C₂³	semidirect
119. C₂×#2412	C₂³	semidirect
120. C₂×#2405	C₂³	semidirect
121. C₂×#2405	C₂³	semidirect
122. C₂×#2405	C₂³	semidirect
123. C₂×#2410	C₂³	semidirect
124. C₂×#2403	C₂³	semidirect
125. C₂×#2403	C₂³	semidirect
126. C₂×#2403	C₂³	semidirect
127. C₂×#2315	C₂³	semidirect
128. C₂×#2308	C₂³	semidirect
129. C₂×#2308	C₂³	semidirect
130. C₂×#2308	C₂³	semidirect
131. C₂²×#379	C₂³	semidirect
132. C₂²×#379	C₂³	semidirect
133. #24112	C₂³	semidirect
134. #24056	C₂³	semidirect
135. #24056	C₂³	semidirect
136. #24056	C₂³	semidirect
137. #24056	C₂³	semidirect
138. #24056	C₂³	semidirect
139. #23985	C₂³	semidirect
140. #23984	C₂³	semidirect
141. #23901	C₂³	semidirect
142. #23901	C₂³	semidirect
143. #23901	C₂³	semidirect
144. #23900	C₂³	semidirect
145. #23900	C₂³	semidirect
146. #23900	C₂³	semidirect
147. #21746	C₂³	semidirect
148. #21746	C₂³	semidirect
149. #21746	C₂³	semidirect
150. #21746	C₂³	semidirect
151. C₂×#1898	C₂³	semidirect
152. C₂×#1898	C₂³	semidirect
153. C₂×#1898	C₂³	semidirect
154. C₂×#1898	C₂³	semidirect
155. C₂×#1819	C₂³	semidirect
156. C₂×#1781	C₂³	semidirect
157. C₂×#1781	C₂³	semidirect
158. C₂×#1781	C₂³	semidirect
159. C₂×#1781	C₂³	semidirect
160. C₂×#1781	C₂³	semidirect
161. #15984	C₂³	semidirect
162. #15950	C₂³	semidirect
163. #15948	C₂³	semidirect
164. #15948	C₂³	semidirect
165. #15947	C₂³	semidirect
166. #15261	C₂³	semidirect
167. #15261	C₂³	semidirect
168. #15260	C₂³	semidirect
169. #15258	C₂³	semidirect
170. #15257	C₂³	semidirect
171. #14341	C₂³	semidirect
172. #14335	C₂³	semidirect
173. #14335	C₂³	semidirect
174. #14255	C₂³	semidirect
175. #13867	C₂³	semidirect
176. #13867	C₂³	semidirect
177. #13867	C₂³	semidirect
178. #13867	C₂³	semidirect
179. #13867	C₂³	semidirect
180. C₂×#1438	C₂³	semidirect
181. #8546	C₂³	semidirect
182. #8542	C₂³	semidirect
183. #8541	C₂³	semidirect
184. #8535	C₂³	semidirect
185. #8534	C₂³	semidirect
186. #8534	C₂³	semidirect
187. #8534	C₂³	semidirect
188. #8534	C₂³	semidirect
189. #8534	C₂³	semidirect
190. #8534	C₂³	semidirect
223. C₂⁴×D₄	C₂⁴	semidirect
249. C₂²×#123	C₂⁴	semidirect
250. C₂²×#123	C₂⁴	semidirect
251. C₂²×#123	C₂⁴	semidirect
272. C₂²×#120	C₂⁴	semidirect
273. C₂²×#120	C₂⁴	semidirect
274. C₂²×#120	C₂⁴	semidirect
294. C₂³×C₂²⋊C₄	C₂⁴	semidirect
295. C₂³×C₂²⋊C₄	C₂⁴	semidirect
296. C₂³×C₂²⋊C₄	C₂⁴	semidirect
298. #2849	C₂⁴	semidirect
299. #2849	C₂⁴	semidirect
300. #2846	C₂⁴	semidirect
301. C₂×#386	C₂⁴	semidirect
302. C₂×#386	C₂⁴	semidirect
303. C₂×#386	C₂⁴	semidirect
304. C₂×#386	C₂⁴	semidirect
305. C₂×#386	C₂⁴	semidirect
306. C₂×#385	C₂⁴	semidirect
307. C₂×#381	C₂⁴	semidirect
311. C₂×#379	C₂⁴	semidirect
312. C₂×#379	C₂⁴	semidirect
313. C₂×#379	C₂⁴	semidirect
314. #1898	C₂⁴	semidirect
315. #1898	C₂⁴	semidirect
316. #1898	C₂⁴	semidirect
317. #1898	C₂⁴	semidirect
318. #1819	C₂⁴	semidirect
319. #1781	C₂⁴	semidirect
320. #1781	C₂⁴	semidirect
321. #1781	C₂⁴	semidirect
322. #1440	C₂⁴	semidirect
323. #1438	C₂⁴	semidirect
324. #1438	C₂⁴	semidirect
325. #1438	C₂⁴	semidirect
326. #1438	C₂⁴	semidirect
327. #1438	C₂⁴	semidirect
328. #1438	C₂⁴	semidirect
332. C₂⁶	#120	semidirect
374. C₂³×D₄	#120	semidirect
375. C₂³×D₄	#120	semidirect
376. C₂³×D₄	#120	semidirect
377. C₂³×D₄	#120	semidirect
378. C₂³×D₄	#120	semidirect
418. C₂⁴×C₄	#120	semidirect
419. C₂⁴×C₄	#120	semidirect
436. C₂×#120	#120	semidirect
437. C₂×#120	#120	semidirect
438. C₂×#120	#120	semidirect
439. C₂×#120	#120	semidirect
454. C₂²×C₂²⋊C₄	#120	semidirect
455. C₂²×C₂²⋊C₄	#120	semidirect
456. C₂²×C₂²⋊C₄	#120	semidirect
457. C₂²×C₂²⋊C₄	#120	semidirect
458. C₂²×C₂²⋊C₄	#120	semidirect
640. C₂×D₄	#3026	semidirect

Maximal subgroups

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

subgroup	index
#72262798	2
#72262701	2
#72255905	2
#72255754	2
#72237372	2
C₂×#187928	2
#72235768	2
#72234661	2
#72234609	2
#72233581	2
C₂×#10586472	2
#72233423	2
#72233058	2
#72232592	2
C₂×#188035	2