Subgroups — #72251141

Order 2048.

At least 12786 conjugacy classes of subgroups; only the 1668 normal subgroups are shown.

The subgroup lattice has 678 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72251133	C₂	1	2	yes	maximal, complemented
2	#72251101	C₂	1	2	yes	maximal, complemented
3	#72238082	C₂	1	1	yes	maximal, characteristic, complemented
4	#72238079	C₂	1	1	yes	maximal, characteristic, complemented
5	#72238052	C₂	1	2	yes	maximal, complemented
6	#72238050	C₂	1	2	yes	maximal, complemented
7	#72238048	C₂	1	1	yes	maximal, characteristic, complemented
8	#72238047	C₂	1	1	yes	maximal, characteristic, complemented
9	#72238036	C₂	1	2	yes	maximal, complemented
10	#72237100	C₂	1	1	yes	maximal, characteristic, complemented
11	#72236420	C₂	1	2	yes	maximal, complemented
12	#72233895	C₂	1	2	yes	maximal, complemented
13	#72233891	C₂	1	2	yes	maximal, complemented
14	#72231815	C₂	1	2	yes	maximal, complemented
15	#72217789	C₂	1	1	yes	maximal, characteristic, complemented
16	#72217699	C₂	1	2	yes	maximal, complemented
17	#72217511	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#115690	C₂	1	2	yes	maximal, complemented
19	#72210600	C₂	1	2	yes	maximal, complemented
20	C₂×#62817	C₂²	1	1	yes	characteristic
21	C₂⁴×#120	C₂²	1	1	yes	characteristic
22	#7642273	C₂²	1	2	yes	—
23	#7642244	C₂²	1	2	yes	—
24	#7641845	C₂²	1	2	yes	—
25	#7641845	C₂²	1	2	yes	complemented
26	C₂×#37436	C₂²	1	1	yes	characteristic
27	C₂×#37436	C₂²	1	1	yes	characteristic, complemented
28	C₂²×#2846	C₂²	1	2	yes	—
29	C₂²×#2846	C₂²	1	1	yes	characteristic, complemented
30	#7630944	C₂²	1	2	yes	—
31	#7630939	C₂²	1	2	yes	—
32	#7626202	C₂²	1	1	yes	characteristic
33	#6477581	C₂²	1	2	yes	complemented
34	#6477580	C₂²	1	2	yes	complemented
35	#6470226	C₂²	1	2	yes	complemented
36	#6470225	C₂²	1	2	yes	complemented
37	C₂×#21746	C₂²	1	1	yes	characteristic
38	C₂×#21746	C₂²	1	1	yes	characteristic
39	C₂×#21746	C₂²	1	2	yes	complemented
40	C₂×#21746	C₂²	1	2	yes	complemented
41	C₂×#21746	C₂²	1	2	yes	complemented
42	C₂×#21746	C₂²	1	2	yes	complemented
43	C₂×#21746	C₂²	1	2	yes	complemented
44	#636185	C₂²	1	1	yes	characteristic, complemented
45	#636185	C₂²	1	1	yes	characteristic, complemented
46	#635984	C₂²	1	1	yes	characteristic, complemented
47	#635984	C₂²	1	1	yes	characteristic, complemented
48	#612619	C₂²	1	1	yes	characteristic, complemented
49	#612617	C₂²	1	1	yes	characteristic, complemented
50	#612426	C₂²	1	1	yes	characteristic, complemented
51	#612424	C₂²	1	1	yes	characteristic, complemented
52	C₂×#14679	C₂²	1	1	yes	characteristic, complemented
53	C₂×#14679	C₂²	1	2	yes	complemented
54	#556752	C₂²	1	1	yes	characteristic
55	#556752	C₂²	1	1	yes	characteristic, complemented
56	#405156	C₂²	1	4	yes	complemented
57	#405156	C₂²	1	4	yes	complemented
58	#394058	C₂²	1	4	yes	complemented
59	#394058	C₂²	1	4	yes	complemented
60	#392207	C₂²	1	2	yes	complemented
61	#392109	C₂²	1	2	yes	complemented
62	#382422	C₂²	1	2	yes	complemented
63	#382422	C₂²	1	2	yes	complemented
64	#355913	C₂²	1	2	yes	complemented
65	#233545	C₂²	1	4	yes	complemented
66	#233542	C₂²	1	4	yes	complemented
67	#233542	C₂²	1	4	yes	complemented
68	#233541	C₂²	1	4	yes	complemented
69	#201669	C₂²	1	2	yes	complemented
70	#201668	C₂²	1	2	yes	complemented
71	#201665	C₂²	1	2	yes	complemented
72	#201664	C₂²	1	2	yes	complemented
73	#187929	C₂²	1	2	yes	complemented
74	#187929	C₂²	1	2	yes	complemented
75	#187928	C₂²	1	2	yes	complemented
76	#187928	C₂²	1	2	yes	complemented
77	C₂×#8101	C₂²	1	2	yes	complemented
78	C₂×#8101	C₂²	1	2	yes	complemented
79	#115690	C₂²	1	4	yes	complemented
80	#115690	C₂²	1	4	yes	complemented
81	#115690	C₂²	1	4	yes	complemented
82	#115690	C₂²	1	4	yes	complemented
83	#115205	C₂²	1	4	yes	complemented
84	#115205	C₂²	1	4	yes	complemented
85	#115204	C₂²	1	4	yes	complemented
86	#115204	C₂²	1	4	yes	complemented
87	#106767	C₂²	1	2	yes	complemented
88	#106767	C₂²	1	2	yes	complemented
89	#106766	C₂²	1	2	yes	complemented
90	#106766	C₂²	1	2	yes	complemented
91	C₂⁸	C₂³	1	1	yes	characteristic
92	C₂⁵×D₄	D₄	1	1	yes	characteristic, complemented
93	C₂⁵×D₄	D₄	1	1	yes	characteristic, complemented
94	C₂⁵×D₄	C₂³	1	1	yes	characteristic
95	C₂×#3490	D₄	1	4	yes	complemented
96	C₂×#3490	C₂³	1	2	yes	—
97	C₂×#3484	D₄	1	4	yes	complemented
98	C₂×#3484	C₂³	1	2	yes	—
99	C₂³×#120	D₄	1	4	yes	complemented
100	C₂³×#120	D₄	1	1	yes	characteristic, complemented
101	C₂³×#120	D₄	1	1	yes	characteristic, complemented
102	C₂³×#120	D₄	1	1	yes	characteristic, complemented
103	C₂³×#120	D₄	1	1	yes	characteristic, complemented
104	C₂³×#120	C₂³	1	1	yes	characteristic
105	C₂³×#120	C₂³	1	1	yes	characteristic
106	C₂³×#120	C₂³	1	2	yes	—
107	C₂³×#120	C₂³	1	1	yes	characteristic
108	C₂³×#120	C₂³	1	1	yes	characteristic
109	C₂³×#120	C₂³	1	1	yes	characteristic
110	C₂³×#120	C₂³	1	1	yes	characteristic
111	C₂³×#120	C₂³	1	1	yes	characteristic
112	C₂⁴×C₂²⋊C₄	D₄	1	1	yes	characteristic, complemented
113	C₂⁴×C₂²⋊C₄	D₄	1	1	yes	characteristic, complemented
114	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
115	#37436	D₄	1	8	yes	complemented
116	C₂×#2846	D₄	1	8	yes	complemented
117	C₂×#2846	C₂³	1	4	yes	—
118	C₂×#2846	C₂³	1	4	yes	—
119	#34992	D₄	1	4	yes	complemented
120	#34992	C₂³	1	4	yes	—
121	#34992	C₂³	1	4	yes	—
122	#34980	D₄	1	4	yes	complemented
123	#34980	C₂³	1	4	yes	—
124	#34980	C₂³	1	4	yes	—
125	C₂×#2483	C₂³	1	1	yes	characteristic
126	C₂×#2483	C₂³	1	1	yes	characteristic
127	C₂×#2412	D₄	1	2	yes	complemented
128	C₂×#2405	C₂³	1	1	yes	characteristic
129	C₂×#2405	C₂³	1	1	yes	characteristic
130	C₂×#2405	C₂³	1	1	yes	characteristic
131	C₂×#2405	C₂³	1	1	yes	characteristic
132	C₂×#2410	D₄	1	2	yes	complemented
133	C₂×#2403	C₂³	1	1	yes	characteristic
134	C₂×#2403	C₂³	1	1	yes	characteristic
135	C₂×#2622	D₄	1	2	yes	complemented
136	C₂×#2613	D₄	1	2	yes	complemented
137	#34356	D₄	1	8	yes	complemented
138	#34176	C₂³	1	2	yes	—
139	#34171	C₂³	1	2	yes	—
140	C₂²×#379	D₄	1	4	yes	complemented
141	C₂²×#379	C₂³	1	1	yes	characteristic
142	C₂²×#379	C₂³	1	1	yes	characteristic
143	C₂²×#379	C₂³	1	2	yes	—
144	C₂²×#379	C₂³	1	2	yes	—
145	C₂²×#379	C₂³	1	2	yes	—
146	C₂²×#379	C₂³	1	1	yes	characteristic
147	C₂²×#379	C₂³	1	1	yes	characteristic
148	C₂²×#379	C₂³	1	1	yes	characteristic
149	#21746	C₂³	1	4	yes	—
150	#21746	C₂³	1	4	yes	—
151	#21746	C₂³	1	4	yes	—
152	#21746	C₂³	1	4	yes	—
153	C₂×#1898	D₄	1	8	yes	complemented
154	C₂×#1898	C₂³	1	4	yes	—
155	C₂×#1898	C₂³	1	4	yes	—
156	C₂×#1819	C₂³	1	2	yes	—
157	C₂×#1819	C₂³	1	4	yes	—
158	C₂×#1819	C₂³	1	2	yes	—
159	C₂×#1819	C₂³	1	4	yes	—
160	C₂×#1781	C₂³	1	2	yes	—
161	C₂×#1781	C₂³	1	4	yes	—
162	C₂×#1781	C₂³	1	4	yes	—
163	C₂×#1781	C₂³	1	2	yes	—
164	#14679	C₂³	1	1	yes	characteristic
165	#14679	C₂³	1	1	yes	characteristic
166	#14679	C₂³	1	1	yes	characteristic
167	#14679	C₂³	1	1	yes	characteristic
168	#14679	C₂³	1	4	yes	—
169	#14679	C₂³	1	4	yes	—
170	#14657	D₄	1	4	yes	complemented
171	#14255	D₄	1	4	yes	complemented
172	#13869	C₂³	1	1	yes	characteristic
173	#13869	C₂³	1	1	yes	characteristic
174	#13869	C₂³	1	1	yes	characteristic
175	#13869	C₂³	1	1	yes	characteristic
176	#13867	C₂³	1	1	yes	characteristic
177	#13867	C₂³	1	1	yes	characteristic
178	#13867	C₂³	1	1	yes	characteristic
179	#13867	C₂³	1	1	yes	characteristic
180	#10735	C₂³	1	4	yes	—
181	#10735	C₂³	1	4	yes	—
182	#8101	C₂³	1	4	yes	—
183	#8101	C₂³	1	4	yes	—
184	#8101	C₂³	1	4	yes	—
185	#8101	C₂³	1	4	yes	—
186	C₂⁷	C₂×D₄	1	1	yes	characteristic
187	C₂⁷	C₂×D₄	1	1	yes	characteristic
188	C₂⁷	C₂×D₄	1	1	yes	characteristic
189	C₂⁷	C₂×D₄	1	4	yes	—
190	C₂⁷	C₂×D₄	1	4	yes	—
191	C₂⁷	C₂×D₄	1	1	yes	characteristic
192	C₂⁷	C₂×D₄	1	1	yes	characteristic
193	C₂⁷	C₂⁴	1	1	yes	characteristic
194	C₂⁷	C₂⁴	1	1	yes	characteristic
195	C₂⁷	C₂⁴	1	1	yes	characteristic
196	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
197	C₂⁴×D₄	C₂×D₄	1	2	yes	—
198	C₂⁴×D₄	C₂×D₄	1	2	yes	—
199	C₂⁴×D₄	C₂×D₄	1	2	yes	—
200	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
201	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
202	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
203	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
204	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
205	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
206	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
207	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
208	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
209	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
210	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
211	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
212	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
213	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
214	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
215	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
216	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
217	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
218	C₂×#543	C₂×D₄	1	2	yes	—
219	C₂×#534	C₂×D₄	1	4	yes	—
220	C₂×#534	C₂×D₄	1	2	yes	—
221	C₂²×#123	C₂×D₄	1	2	yes	complemented
222	C₂²×#120	C₂×D₄	1	8	yes	—
223	C₂²×#120	C₂×D₄	1	8	yes	—
224	C₂²×#120	C₂×D₄	1	4	yes	—
225	C₂²×#120	C₂×D₄	1	4	yes	—
226	C₂²×#120	C₂×D₄	1	4	yes	—
227	C₂²×#120	C₂×D₄	1	2	yes	—
228	C₂²×#120	C₂×D₄	1	2	yes	—
229	C₂²×#120	C₂×D₄	1	2	yes	—
230	C₂²×#120	C₂×D₄	1	4	yes	—
231	C₂²×#120	C₂×D₄	1	2	yes	—
232	C₂²×#120	C₂×D₄	1	4	yes	—
233	C₂²×#120	C₂×D₄	1	4	yes	—
234	C₂²×#120	C₂×D₄	1	4	yes	—
235	C₂²×#120	C₂×D₄	1	4	yes	—
236	C₂²×#120	C₂×D₄	1	2	yes	complemented
237	C₂²×#120	#41	1	4	yes	—
238	C₂²×#120	C₂⁴	1	4	yes	—
239	C₂×#518	C₂×D₄	1	4	yes	—
240	C₂×#518	C₂×D₄	1	2	yes	—
241	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
242	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
243	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
244	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
245	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
246	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
247	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
248	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
249	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
250	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
251	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
252	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
253	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
254	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	—
255	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
256	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
257	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
258	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
259	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
260	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
261	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
262	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
263	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
264	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
265	C₂²×#99	C₂×D₄	1	8	yes	complemented
266	#2483	C₂×D₄	1	8	yes	—
267	#2405	C₂×D₄	1	8	yes	—
268	#2405	C₂×D₄	1	8	yes	—
269	#2403	C₂×D₄	1	8	yes	—
270	#2312	C₂×D₄	1	4	yes	—
271	#2312	C₂×D₄	1	4	yes	—
272	#2309	C₂×D₄	1	4	yes	—
273	#2308	C₂×D₄	1	4	yes	—
274	C₂×#386	C₂×D₄	1	2	yes	complemented
275	C₂×#386	C₂×D₄	1	2	yes	complemented
276	C₂×#385	C₂×D₄	1	2	yes	complemented
277	C₂×#385	C₂×D₄	1	2	yes	complemented
278	C₂×#381	C₂×D₄	1	2	yes	complemented
279	C₂×#379	C₂×D₄	1	4	yes	—
280	C₂×#379	C₂×D₄	1	4	yes	—
281	C₂×#379	C₂×D₄	1	4	yes	—
282	C₂×#379	C₂×D₄	1	4	yes	—
283	C₂×#379	C₂×D₄	1	8	yes	—
284	C₂×#379	C₂×D₄	1	8	yes	—
285	C₂×#379	C₂×D₄	1	4	yes	—
286	C₂×#379	C₂×D₄	1	2	yes	complemented
287	C₂×#379	C₂×D₄	1	2	yes	complemented
288	C₂×#379	C₂×D₄	1	2	yes	complemented
289	C₂×#379	C₂×D₄	1	2	yes	complemented
290	C₂×#379	C₂×D₄	1	4	yes	complemented
291	C₂×#379	C₂×D₄	1	2	yes	complemented
292	C₂×#379	C₂⁴	1	4	yes	—
293	C₂×#379	C₂⁴	1	1	yes	characteristic
294	C₂×#379	C₂⁴	1	1	yes	characteristic
295	C₂×#379	C₂⁴	1	1	yes	characteristic
296	C₂×#379	C₂⁴	1	1	yes	characteristic
297	C₂×#379	C₂⁴	1	4	yes	—
298	C₂×#379	C₂⁴	1	4	yes	—
299	C₂×#342	C₂×D₄	1	8	yes	complemented
300	#1440	C₂×D₄	1	4	yes	complemented
301	#1440	C₂×D₄	1	4	yes	complemented
302	#1438	C₂×D₄	1	4	yes	complemented
303	#1438	C₂×D₄	1	4	yes	complemented
304	C₂⁶	#120	1	2	yes	—
305	C₂⁶	#120	1	2	yes	—
306	C₂⁶	#120	1	4	yes	—
307	C₂⁶	#120	1	4	yes	—
308	C₂⁶	#120	1	2	yes	—
309	C₂⁶	#120	1	2	yes	—
310	C₂⁶	#120	1	2	yes	complemented
311	C₂⁶	C₂²×D₄	1	1	yes	characteristic
312	C₂⁶	C₂²×D₄	1	1	yes	characteristic
313	C₂⁶	C₂²×D₄	1	4	yes	—
314	C₂⁶	C₂²×D₄	1	4	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	1	yes	characteristic
320	C₂⁶	C₂²×D₄	1	1	yes	characteristic
321	C₂⁶	C₂²×D₄	1	1	yes	characteristic
322	C₂⁶	C₂²×D₄	1	1	yes	characteristic
323	C₂⁶	C₂²×D₄	1	2	yes	—
324	C₂⁶	C₂²×D₄	1	2	yes	—
325	C₂⁶	C₂²×D₄	1	2	yes	—
326	C₂⁶	C₂²×D₄	1	2	yes	—
327	C₂⁶	C₂²×D₄	1	1	yes	characteristic
328	C₂⁶	C₂²×D₄	1	1	yes	characteristic
329	C₂⁶	C₂²×D₄	1	2	yes	—
330	C₂⁶	C₂²×D₄	1	2	yes	—
331	C₂⁶	C₂²×D₄	1	2	yes	—
332	C₂⁶	C₂²×D₄	1	1	yes	characteristic
333	C₂⁶	C₂×#41	1	2	yes	—
334	C₂⁶	H(5,𝔽₂)	1	2	yes	—
335	C₂⁶	H(5,𝔽₂)	1	2	yes	—
336	C₂⁶	H(5,𝔽₂)	1	2	yes	—
337	C₂⁶	H(5,𝔽₂)	1	2	yes	—
338	C₂⁶	C₂⁵	1	1	yes	characteristic
339	C₂³×D₄	#120	1	2	yes	—
340	C₂³×D₄	#120	1	2	yes	—
341	C₂³×D₄	#120	1	4	yes	—
342	C₂³×D₄	#120	1	2	yes	—
343	C₂³×D₄	#120	1	4	yes	—
344	C₂³×D₄	#120	1	4	yes	—
345	C₂³×D₄	#120	1	2	yes	—
346	C₂³×D₄	#120	1	2	yes	—
347	C₂³×D₄	#120	1	2	yes	—
348	C₂³×D₄	#120	1	4	yes	complemented
349	C₂³×D₄	#120	1	4	yes	complemented
350	C₂³×D₄	#120	1	4	yes	complemented
351	C₂³×D₄	#121	1	4	yes	—
352	C₂³×D₄	#121	1	4	yes	—
353	C₂³×D₄	C₂²×D₄	1	4	yes	—
354	C₂³×D₄	C₂²×D₄	1	4	yes	—
355	C₂³×D₄	C₂²×D₄	1	4	yes	—
356	C₂³×D₄	C₂²×D₄	1	4	yes	—
357	C₂³×D₄	C₂²×D₄	1	2	yes	—
358	C₂³×D₄	C₂²×D₄	1	2	yes	—
359	C₂³×D₄	C₂²×D₄	1	2	yes	—
360	C₂³×D₄	C₂²×D₄	1	2	yes	—
361	C₂³×D₄	C₂²×D₄	1	2	yes	—
362	C₂³×D₄	C₂×#41	1	2	yes	—
363	C₂⁴×C₄	#120	1	2	yes	complemented
364	C₂⁴×C₄	#120	1	2	yes	complemented
365	C₂⁴×C₄	#120	1	2	yes	complemented
366	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
367	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
368	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
369	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
370	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
371	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
372	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
373	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
374	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
375	C₂×#120	#120	1	8	yes	—
376	C₂×#120	#120	1	8	yes	—
377	C₂×#120	#121	1	8	yes	—
378	C₂×#120	#121	1	8	yes	—
379	C₂×#120	#121	1	8	yes	—
380	C₂×#120	#121	1	8	yes	—
381	C₂×#120	#127	1	8	yes	—
382	C₂×#120	#127	1	8	yes	—
383	C₂²×C₂²⋊C₄	#120	1	2	yes	—
384	C₂²×C₂²⋊C₄	#120	1	2	yes	—
385	C₂²×C₂²⋊C₄	#120	1	4	yes	—
386	C₂²×C₂²⋊C₄	#120	1	4	yes	—
387	C₂²×C₂²⋊C₄	#120	1	4	yes	—
388	C₂²×C₂²⋊C₄	#120	1	2	yes	—
389	C₂²×C₂²⋊C₄	#120	1	2	yes	—
390	C₂²×C₂²⋊C₄	#120	1	2	yes	—
391	C₂²×C₂²⋊C₄	#120	1	2	yes	—
392	C₂²×C₂²⋊C₄	#120	1	4	yes	complemented
393	C₂²×C₂²⋊C₄	#120	1	4	yes	complemented
394	C₂²×C₂²⋊C₄	#120	1	4	yes	complemented
395	C₂²×C₂²⋊C₄	#120	1	8	yes	complemented
396	C₂²×C₂²⋊C₄	#120	1	8	yes	complemented
397	C₂²×C₂²⋊C₄	#121	1	4	yes	—
398	C₂²×C₂²⋊C₄	#121	1	4	yes	—
399	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
400	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
401	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
402	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
403	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
404	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
405	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
406	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
407	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
408	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
409	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
410	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
411	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
412	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
413	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
414	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
415	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
416	C₂²×C₂²⋊C₄	C₂×#41	1	2	yes	—
417	#379	#120	1	8	yes	complemented
418	#379	#120	1	8	yes	complemented
419	#379	C₂²×D₄	1	8	yes	—
420	#379	C₂²×D₄	1	8	yes	—
421	C₂⁵	C₂×#120	1	2	yes	—
422	C₂⁵	C₂×#120	1	2	yes	—
423	C₂⁵	C₂×#120	1	2	yes	—
424	C₂⁵	C₂×#120	1	2	yes	—
425	C₂⁵	C₂×#120	1	1	yes	characteristic
426	C₂⁵	C₂×#120	1	1	yes	characteristic
427	C₂⁵	C₂×#120	1	2	yes	—
428	C₂⁵	C₂×#120	1	2	yes	—
429	C₂⁵	C₂×#120	1	1	yes	characteristic
430	C₂⁵	C₂×#120	1	1	yes	characteristic
431	C₂⁵	C₂×#120	1	2	yes	—
432	C₂⁵	C₂×#120	1	4	yes	—
433	C₂⁵	C₂×#120	1	2	yes	—
434	C₂⁵	C₂×#120	1	2	yes	—
435	C₂⁵	C₂×#120	1	2	yes	—
436	C₂⁵	C₂×#120	1	2	yes	—
437	C₂⁵	C₂×#120	1	2	yes	—
438	C₂⁵	C₂×#120	1	2	yes	—
439	C₂⁵	C₂×#120	1	1	yes	characteristic
440	C₂⁵	C₂×#120	1	1	yes	characteristic
441	C₂⁵	C₂×#120	1	1	yes	characteristic
442	C₂⁵	C₂×#120	1	2	yes	—
443	C₂⁵	C₂×#120	1	2	yes	—
444	C₂⁵	C₂×#120	1	2	yes	—
445	C₂⁵	C₂×#120	1	2	yes	—
446	C₂⁵	C₂×#120	1	1	yes	characteristic
447	C₂⁵	C₂×#120	1	2	yes	—
448	C₂⁵	C₂×#120	1	2	yes	—
449	C₂⁵	C₂×#120	1	2	yes	—
450	C₂⁵	C₂×#120	1	2	yes	—
451	C₂⁵	C₂×#121	1	2	yes	—
452	C₂⁵	C₂×#121	1	2	yes	—
453	C₂⁵	C₂×#121	1	2	yes	—
454	C₂⁵	C₂×#121	1	2	yes	—
455	C₂⁵	C₂×#121	1	2	yes	—
456	C₂⁵	C₂×#121	1	2	yes	—
457	C₂⁵	C₂×#121	1	2	yes	—
458	C₂⁵	C₂×#127	1	2	yes	—
459	C₂⁵	C₂×#127	1	2	yes	—
460	C₂⁵	#534	1	1	yes	characteristic
461	C₂⁵	#534	1	1	yes	characteristic
462	C₂⁵	#534	1	2	yes	—
463	C₂⁵	#534	1	2	yes	—
464	C₂⁵	#534	1	2	yes	—
465	C₂⁵	#534	1	2	yes	—
466	C₂⁵	#534	1	1	yes	characteristic
467	C₂⁵	#534	1	1	yes	characteristic
468	C₂⁵	#534	1	2	yes	—
469	C₂⁵	#534	1	2	yes	—
470	C₂⁵	#535	1	2	yes	—
471	C₂⁵	#535	1	2	yes	—
472	C₂⁵	#535	1	2	yes	—
473	C₂⁵	#535	1	2	yes	—
474	C₂⁵	D₄²	1	2	yes	—
475	C₂⁵	D₄²	1	2	yes	—
476	C₂⁵	D₄²	1	2	yes	—
477	C₂⁵	D₄²	1	2	yes	—
478	C₂⁵	D₄²	1	2	yes	—
479	C₂⁵	D₄²	1	2	yes	—
480	C₂⁵	D₄²	1	2	yes	—
481	C₂⁵	D₄²	1	2	yes	—
482	C₂⁵	D₄²	1	2	yes	—
483	C₂⁵	D₄²	1	2	yes	—
484	C₂⁵	D₄²	1	2	yes	—
485	C₂⁵	D₄²	1	2	yes	—
486	C₂⁵	D₄²	1	2	yes	—
487	C₂⁵	D₄²	1	2	yes	—
488	C₂⁵	D₄²	1	2	yes	—
489	C₂⁵	D₄²	1	2	yes	—
490	C₂⁵	D₄²	1	2	yes	—
491	C₂⁵	D₄²	1	2	yes	—
492	C₂⁵	D₄²	1	2	yes	—
493	C₂⁵	D₄²	1	2	yes	—
494	C₂⁵	D₄²	1	2	yes	—
495	C₂⁵	D₄²	1	2	yes	—
496	C₂⁵	D₄²	1	2	yes	—
497	C₂⁵	D₄²	1	2	yes	—
498	C₂⁵	#546	1	2	yes	—
499	C₂⁵	#546	1	2	yes	—
500	C₂⁵	#546	1	2	yes	—
501	C₂⁵	#546	1	2	yes	—
502	C₂⁵	#546	1	2	yes	—
503	C₂⁵	#546	1	2	yes	—
504	C₂⁵	#546	1	2	yes	—
505	C₂⁵	#546	1	2	yes	—
506	C₂⁵	C₂³×D₄	1	1	yes	characteristic
507	C₂⁵	C₂³×D₄	1	1	yes	characteristic
508	C₂⁵	C₂³×D₄	1	1	yes	characteristic
509	C₂⁵	C₂³×D₄	1	2	yes	—
510	C₂⁵	C₂³×D₄	1	1	yes	characteristic
511	C₂⁵	C₂³×D₄	1	2	yes	—
512	C₂⁵	C₂³×D₄	1	1	yes	characteristic
513	C₂⁵	C₂³×D₄	1	1	yes	characteristic
514	C₂⁵	C₂²×#41	1	1	yes	characteristic
515	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
516	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
517	C₂²×D₄	#392	1	8	yes	—
518	C₂²×D₄	#392	1	8	yes	—
519	C₂²×D₄	#392	1	8	yes	—
520	C₂²×D₄	#392	1	8	yes	—
521	C₂²×D₄	C₂×#120	1	4	yes	—
522	C₂²×D₄	C₂×#121	1	4	yes	—
523	C₂²×D₄	C₂×#121	1	4	yes	—
524	C₂²×D₄	C₂×#127	1	4	yes	—
525	C₂³×C₄	C₂×#120	1	4	yes	—
526	C₂³×C₄	C₂×#120	1	4	yes	—
527	C₂³×C₄	C₂×#120	1	2	yes	—
528	C₂³×C₄	C₂×#120	1	2	yes	—
529	C₂³×C₄	C₂×#120	1	4	yes	—
530	C₂³×C₄	C₂×#120	1	2	yes	—
531	C₂³×C₄	C₂×#120	1	2	yes	—
532	C₂³×C₄	C₂×#120	1	2	yes	—
533	C₂³×C₄	C₂×#120	1	2	yes	—
534	C₂³×C₄	C₂×#120	1	2	yes	—
535	C₂³×C₄	C₂×#120	1	2	yes	—
536	C₂³×C₄	C₂×#120	1	2	yes	—
537	C₂³×C₄	C₂×#121	1	2	yes	—
538	C₂³×C₄	C₂×#121	1	2	yes	—
539	C₂³×C₄	C₂×#121	1	2	yes	—
540	C₂×C₂²⋊C₄	#392	1	8	yes	—
541	C₂×C₂²⋊C₄	#392	1	8	yes	—
542	C₂×C₂²⋊C₄	#392	1	8	yes	—
543	C₂×C₂²⋊C₄	#392	1	8	yes	—
544	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
545	C₂×C₂²⋊C₄	C₂×#120	1	16	yes	—
546	C₂×C₂²⋊C₄	C₂×#121	1	4	yes	—
547	C₂×C₂²⋊C₄	C₂×#121	1	4	yes	—
548	C₂×C₂²⋊C₄	C₂×#127	1	4	yes	—
549	C₂⁴	C₂×#392	1	2	yes	—
550	C₂⁴	C₂×#392	1	4	yes	—
551	C₂⁴	C₂×#392	1	2	yes	—
552	C₂⁴	C₂×#392	1	2	yes	—
553	C₂⁴	C₂×#392	1	2	yes	—
554	C₂⁴	#2403	1	2	yes	—
555	C₂⁴	#2403	1	2	yes	—
556	C₂⁴	#2403	1	2	yes	—
557	C₂⁴	#2403	1	1	yes	characteristic
558	C₂⁴	#2403	1	2	yes	—
559	C₂⁴	#2403	1	2	yes	—
560	C₂⁴	#2403	1	1	yes	characteristic
561	C₂⁴	#2403	1	1	yes	characteristic
562	C₂⁴	#2403	1	1	yes	characteristic
563	C₂⁴	#2403	1	1	yes	characteristic
564	C₂⁴	#2403	1	2	yes	—
565	C₂⁴	#2403	1	2	yes	—
566	C₂⁴	#2403	1	2	yes	—
567	C₂⁴	#2403	1	2	yes	—
568	C₂⁴	#2403	1	1	yes	characteristic
569	C₂⁴	#2403	1	1	yes	characteristic
570	C₂⁴	#2403	1	2	yes	—
571	C₂⁴	#2403	1	2	yes	—
572	C₂⁴	#2403	1	2	yes	—
573	C₂⁴	#2403	1	1	yes	characteristic
574	C₂⁴	#2408	1	2	yes	—
575	C₂⁴	#2408	1	2	yes	—
576	C₂⁴	#2408	1	2	yes	—
577	C₂⁴	#2408	1	2	yes	—
578	C₂⁴	#2408	1	2	yes	—
579	C₂⁴	#2408	1	2	yes	—
580	C₂⁴	#2408	1	2	yes	—
581	C₂⁴	#2408	1	2	yes	—
582	C₂⁴	#2410	1	2	yes	—
583	C₂⁴	#2410	1	2	yes	—
584	C₂⁴	#2410	1	2	yes	—
585	C₂⁴	#2410	1	2	yes	—
586	C₂⁴	#2410	1	2	yes	—
587	C₂⁴	#2410	1	2	yes	—
588	C₂⁴	#2410	1	2	yes	—
589	C₂⁴	#2410	1	2	yes	—
590	C₂⁴	#2410	1	2	yes	—
591	C₂⁴	#2410	1	2	yes	—
592	C₂⁴	#2410	1	2	yes	—
593	C₂⁴	#2410	1	2	yes	—
594	C₂⁴	#2410	1	2	yes	—
595	C₂⁴	#2410	1	2	yes	—
596	C₂⁴	#2410	1	2	yes	—
597	C₂⁴	#2410	1	2	yes	—
598	C₂⁴	#2433	1	2	yes	—
599	C₂⁴	#2433	1	2	yes	—
600	C₂⁴	#2433	1	2	yes	—
601	C₂⁴	#2433	1	2	yes	—
602	C₂⁴	#2433	1	2	yes	—
603	C₂⁴	#2433	1	2	yes	—
604	C₂⁴	#2433	1	2	yes	—
605	C₂⁴	#2433	1	2	yes	—
606	C₂⁴	#2613	1	2	yes	—
607	C₂⁴	#2613	1	2	yes	—
608	C₂⁴	#2613	1	2	yes	—
609	C₂⁴	#2613	1	2	yes	—
610	C₂⁴	#2846	1	2	yes	—
611	C₂⁴	#2846	1	2	yes	—
612	C₂⁴	#2846	1	2	yes	—
613	C₂⁴	#2846	1	2	yes	—
614	C₂⁴	#3026	1	4	yes	—
615	C₂⁴	#3026	1	4	yes	—
616	C₂⁴	C₂²×#120	1	1	yes	characteristic
617	C₂⁴	C₂²×#120	1	1	yes	characteristic
618	C₂⁴	C₂²×#120	1	2	yes	—
619	C₂⁴	C₂²×#120	1	1	yes	characteristic
620	C₂⁴	C₂²×#120	1	2	yes	—
621	C₂⁴	C₂²×#120	1	1	yes	characteristic
622	C₂⁴	C₂²×#120	1	1	yes	characteristic
623	C₂⁴	C₂²×#121	1	1	yes	characteristic
624	C₂⁴	C₂²×#121	1	1	yes	characteristic
625	C₂⁴	C₂²×#121	1	1	yes	characteristic
626	C₂⁴	C₂²×#127	1	1	yes	characteristic
627	C₂⁴	C₂×#534	1	1	yes	characteristic
628	C₂⁴	C₂×#534	1	2	yes	—
629	C₂⁴	C₂×#534	1	1	yes	characteristic
630	C₂⁴	C₂×#535	1	2	yes	—
631	C₂⁴	C₂×D₄²	1	2	yes	—
632	C₂⁴	C₂×D₄²	1	2	yes	—
633	C₂⁴	C₂×D₄²	1	2	yes	—
634	C₂⁴	C₂×D₄²	1	2	yes	—
635	C₂⁴	C₂×D₄²	1	2	yes	—
636	C₂⁴	C₂×D₄²	1	2	yes	—
637	C₂⁴	C₂×#546	1	2	yes	—
638	C₂⁴	C₂×#546	1	2	yes	—
639	C₂²×C₄	C₂×#392	1	4	yes	—
640	C₂²×C₄	C₂×#392	1	4	yes	—
641	C₂²×C₄	C₂×#392	1	4	yes	—
642	C₂³	#14715	1	2	yes	—
643	C₂³	#14715	1	2	yes	—
644	C₂³	#14715	1	2	yes	—
645	C₂³	#14715	1	2	yes	—
646	C₂³	#14715	1	2	yes	—
647	C₂³	#14715	1	2	yes	—
648	C₂³	#14715	1	2	yes	—
649	C₂³	#14715	1	2	yes	—
650	C₂³	#23895	1	4	yes	—
651	C₂³	C₂²×#392	1	1	yes	characteristic
652	C₂³	C₂×#2613	1	1	yes	characteristic
653	C₂³	C₂×#2403	1	2	yes	—
654	C₂³	C₂×#2403	1	1	yes	characteristic
655	C₂³	C₂×#2403	1	1	yes	characteristic
656	C₂³	C₂×#2410	1	2	yes	—
657	C₂³	C₂×#2410	1	1	yes	characteristic
658	C₂³	C₂×#2410	1	1	yes	characteristic
659	C₂³	C₂×#2408	1	2	yes	—
660	C₂³	C₂×#2433	1	2	yes	—
661	C₂³	C₂×#2846	1	1	yes	characteristic
662	C₂³	C₂×#3026	1	2	yes	—
663	C₂³	C₂×#3026	1	2	yes	—
664	C₂³	#60399	1	4	yes	—
665	C₂²	#394064	1	4	yes	—
666	C₂²	C₂×#14715	1	1	yes	characteristic
667	C₂²	#6431795	1	2	yes	—
668	C₂²	#6437621	1	1	yes	characteristic
669	C₂²	#6437621	1	1	yes	characteristic
670	C₂²	C₂×#23895	1	2	yes	—
671	C₂²	#6437632	1	4	yes	—
672	C₂²	#6437995	1	2	yes	—
673	C₂²	#6628892	1	2	yes	—
674	C₂	C₂×#394064	1	1	yes	characteristic
675	C₂	#72236375	1	1	yes	characteristic
676	C₂	#72238029	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂×#14715
commutator, Frattini, cosocle	C₂⁶	C₂⁵
LCS	G ▷ C₂⁶ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁷ ◁ G
LECS	G ▷ C₂⁶ ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72251133	C₂	semidirect
2. #72251101	C₂	semidirect
3. #72238082	C₂	semidirect
4. #72238079	C₂	semidirect
5. #72238052	C₂	semidirect
6. #72238050	C₂	semidirect
7. #72238048	C₂	semidirect
8. #72238047	C₂	semidirect
9. #72238036	C₂	semidirect
10. #72237100	C₂	semidirect
11. #72236420	C₂	semidirect
12. #72233895	C₂	semidirect
13. #72233891	C₂	semidirect
14. #72231815	C₂	semidirect
15. #72217789	C₂	semidirect
16. #72217699	C₂	semidirect
17. #72217511	C₂	semidirect
18. C₂×#115690	C₂	semidirect
19. #72210600	C₂	semidirect
25. #7641845	C₂²	semidirect
27. C₂×#37436	C₂²	semidirect
29. C₂²×#2846	C₂²	semidirect
33. #6477581	C₂²	semidirect
34. #6477580	C₂²	semidirect
35. #6470226	C₂²	semidirect
36. #6470225	C₂²	semidirect
39. C₂×#21746	C₂²	semidirect
40. C₂×#21746	C₂²	semidirect
41. C₂×#21746	C₂²	semidirect
42. C₂×#21746	C₂²	semidirect
43. C₂×#21746	C₂²	semidirect
44. #636185	C₂²	semidirect
45. #636185	C₂²	semidirect
46. #635984	C₂²	semidirect
47. #635984	C₂²	semidirect
48. #612619	C₂²	semidirect
49. #612617	C₂²	semidirect
50. #612426	C₂²	semidirect
51. #612424	C₂²	semidirect
52. C₂×#14679	C₂²	semidirect
53. C₂×#14679	C₂²	semidirect
55. #556752	C₂²	semidirect
56. #405156	C₂²	semidirect
57. #405156	C₂²	semidirect
58. #394058	C₂²	semidirect
59. #394058	C₂²	semidirect
60. #392207	C₂²	semidirect
61. #392109	C₂²	semidirect
62. #382422	C₂²	semidirect
63. #382422	C₂²	semidirect
64. #355913	C₂²	semidirect
65. #233545	C₂²	semidirect
66. #233542	C₂²	semidirect
67. #233542	C₂²	semidirect
68. #233541	C₂²	semidirect
69. #201669	C₂²	semidirect
70. #201668	C₂²	semidirect
71. #201665	C₂²	semidirect
72. #201664	C₂²	semidirect
73. #187929	C₂²	semidirect
74. #187929	C₂²	semidirect
75. #187928	C₂²	semidirect
76. #187928	C₂²	semidirect
77. C₂×#8101	C₂²	semidirect
78. C₂×#8101	C₂²	semidirect
79. #115690	C₂²	semidirect
80. #115690	C₂²	semidirect
81. #115690	C₂²	semidirect
82. #115690	C₂²	semidirect
83. #115205	C₂²	semidirect
84. #115205	C₂²	semidirect
85. #115204	C₂²	semidirect
86. #115204	C₂²	semidirect
87. #106767	C₂²	semidirect
88. #106767	C₂²	semidirect
89. #106766	C₂²	semidirect
90. #106766	C₂²	semidirect
92. C₂⁵×D₄	D₄	semidirect
93. C₂⁵×D₄	D₄	semidirect
95. C₂×#3490	D₄	semidirect
97. C₂×#3484	D₄	semidirect
99. C₂³×#120	D₄	semidirect
100. C₂³×#120	D₄	semidirect
101. C₂³×#120	D₄	semidirect
102. C₂³×#120	D₄	semidirect
103. C₂³×#120	D₄	semidirect
112. C₂⁴×C₂²⋊C₄	D₄	semidirect
113. C₂⁴×C₂²⋊C₄	D₄	semidirect
115. #37436	D₄	semidirect
116. C₂×#2846	D₄	semidirect
119. #34992	D₄	semidirect
122. #34980	D₄	semidirect
127. C₂×#2412	D₄	semidirect
132. C₂×#2410	D₄	semidirect
135. C₂×#2622	D₄	semidirect
136. C₂×#2613	D₄	semidirect
137. #34356	D₄	semidirect
140. C₂²×#379	D₄	semidirect
153. C₂×#1898	D₄	semidirect
170. #14657	D₄	semidirect
171. #14255	D₄	semidirect
210. C₂⁴×D₄	C₂×D₄	semidirect
211. C₂⁴×D₄	C₂×D₄	semidirect
221. C₂²×#123	C₂×D₄	semidirect
236. C₂²×#120	C₂×D₄	semidirect
255. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
256. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
257. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
258. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
259. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
265. C₂²×#99	C₂×D₄	semidirect
274. C₂×#386	C₂×D₄	semidirect
275. C₂×#386	C₂×D₄	semidirect
276. C₂×#385	C₂×D₄	semidirect
277. C₂×#385	C₂×D₄	semidirect
278. C₂×#381	C₂×D₄	semidirect
286. C₂×#379	C₂×D₄	semidirect
287. C₂×#379	C₂×D₄	semidirect
288. C₂×#379	C₂×D₄	semidirect
289. C₂×#379	C₂×D₄	semidirect
290. C₂×#379	C₂×D₄	semidirect
291. C₂×#379	C₂×D₄	semidirect
299. C₂×#342	C₂×D₄	semidirect
300. #1440	C₂×D₄	semidirect
301. #1440	C₂×D₄	semidirect
302. #1438	C₂×D₄	semidirect
303. #1438	C₂×D₄	semidirect
310. C₂⁶	#120	semidirect
348. C₂³×D₄	#120	semidirect
349. C₂³×D₄	#120	semidirect
350. C₂³×D₄	#120	semidirect
363. C₂⁴×C₄	#120	semidirect
364. C₂⁴×C₄	#120	semidirect
365. C₂⁴×C₄	#120	semidirect
392. C₂²×C₂²⋊C₄	#120	semidirect
393. C₂²×C₂²⋊C₄	#120	semidirect
394. C₂²×C₂²⋊C₄	#120	semidirect
395. C₂²×C₂²⋊C₄	#120	semidirect
396. C₂²×C₂²⋊C₄	#120	semidirect
417. #379	#120	semidirect
418. #379	#120	semidirect

Maximal subgroups

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

subgroup	index
#72251133	2
#72251101	2
#72238082	2
#72238079	2
#72238052	2
#72238050	2
#72238048	2
#72238047	2
#72238036	2
#72237100	2
#72236420	2
#72233895	2
#72233891	2
#72231815	2
#72217789	2
#72217699	2
#72217511	2
C₂×#115690	2
#72210600	2