Subgroups — #72340464

Order 4096.

At least 10859 conjugacy classes of subgroups; only the 361 normal subgroups are shown.

The subgroup lattice has 341 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72340447	C₂	1	1	yes	maximal, characteristic, complemented
2	#72340320	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#72213786	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#72236934	C₂	1	1	yes	maximal, characteristic, complemented
5	#72340267	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#149742	C₂²	1	1	yes	characteristic, complemented
7	C₂×#149742	C₂²	1	1	yes	characteristic, complemented
8	#72340255	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#356056	C₂²	1	1	yes	characteristic, complemented
10	#72340246	C₂	1	1	yes	maximal, characteristic
11	#72340231	C₂²	1	1	yes	characteristic
12	#72340220	C₄	1	1	yes	characteristic, complemented
13	#72340216	C₂²	1	1	yes	characteristic
14	#72311023	C₄	1	1	yes	characteristic, complemented
15	C₂×#128062	C₂²	1	1	yes	characteristic, complemented
16	#72310879	C₄	1	1	yes	characteristic, complemented
17	#72285966	C₄	1	1	yes	characteristic, complemented
18	#72285259	C₂	1	2	yes	maximal, complemented
19	#72284602	C₄	1	1	yes	characteristic, complemented
20	#72284591	C₄	1	1	yes	characteristic, complemented
21	#72284401	C₂²	1	1	yes	characteristic
22	#72284136	C₂	1	2	yes	maximal, complemented
23	#72283944	C₂	1	2	yes	maximal, complemented
24	#72283936	C₂²	1	2	yes	complemented
25	#72283904	C₂²	1	1	yes	characteristic
26	#72283788	C₂²	1	2	yes	complemented
27	#72283614	C₂²	1	2	yes	complemented
28	#72283505	C₂²	1	2	yes	complemented
29	#72283484	C₂²	1	1	yes	characteristic
30	#72252351	C₂	1	2	yes	maximal, complemented
31	#72251350	C₄	1	1	yes	characteristic, complemented
32	C₂×#251828	C₂²	1	1	yes	characteristic
33	#72241392	C₂²	1	2	yes	complemented
34	#72241386	C₂²	1	1	yes	characteristic
35	#72241347	C₄	1	1	yes	characteristic, complemented
36	#72237008	C₂²	1	2	yes	complemented
37	#72236934	C₂²	1	2	yes	—
38	#72236934	C₂²	1	2	yes	complemented
39	#72213791	C₂²	1	2	yes	complemented
40	#72213786	C₂²	1	2	yes	—
41	#72213786	C₂²	1	2	yes	complemented
42	#72213513	C₂²	1	2	yes	complemented
43	#7713426	D₄	1	1	yes	characteristic
44	C₂×#46384	D₄	1	1	yes	characteristic
45	#7630442	D₄	1	1	yes	characteristic
46	C₂×#20586	C₂³	1	1	yes	characteristic
47	C₂×#20585	D₄	1	1	yes	characteristic
48	#356056	C₂³	1	2	yes	—
49	#346288	C₂×C₄	1	1	yes	characteristic, complemented
50	#346284	C₂×C₄	1	1	yes	characteristic, complemented
51	#346279	C₂×C₄	1	1	yes	characteristic, complemented
52	#346276	C₂×C₄	1	1	yes	characteristic, complemented
53	#346269	C₂×C₄	1	1	yes	characteristic, complemented
54	#346269	C₂×C₄	1	1	yes	characteristic, complemented
55	#346267	C₂×C₄	1	1	yes	characteristic, complemented
56	#346265	C₂×C₄	1	1	yes	characteristic, complemented
57	#346250	C₂×C₄	1	1	yes	characteristic, complemented
58	#346239	C₂×C₄	1	1	yes	characteristic, complemented
59	#346239	C₂×C₄	1	1	yes	characteristic, complemented
60	#346231	C₂×C₄	1	1	yes	characteristic, complemented
61	#251855	D₄	1	1	yes	characteristic
62	#251855	C₂³	1	1	yes	characteristic
63	#251850	D₄	1	1	yes	characteristic
64	#251850	C₂³	1	1	yes	characteristic
65	#251833	C₂×C₄	1	1	yes	characteristic
66	#251833	D₄	1	1	yes	characteristic
67	#251828	C₂×C₄	1	1	yes	characteristic
68	#251828	C₂×C₄	1	1	yes	characteristic
69	#251828	C₂×C₄	1	1	yes	characteristic
70	#251828	D₄	1	1	yes	characteristic
71	#251828	D₄	1	1	yes	characteristic
72	#251828	D₄	1	1	yes	characteristic
73	#251828	D₄	1	1	yes	characteristic
74	#251828	D₄	1	1	yes	characteristic
75	#251828	C₂³	1	1	yes	characteristic
76	#251828	C₂³	1	1	yes	characteristic
77	#245293	C₂×C₄	1	1	yes	characteristic, complemented
78	#245282	C₂×C₄	1	1	yes	characteristic, complemented
79	#245243	C₂×C₄	1	1	yes	characteristic, complemented
80	#245225	C₂×C₄	1	1	yes	characteristic, complemented
81	#238082	C₂×C₄	1	1	yes	characteristic
82	#238082	D₄	1	1	yes	characteristic
83	C₂×#10392	C₂×C₄	1	1	yes	characteristic
84	C₂×#10392	D₄	1	1	yes	characteristic
85	#233549	C₂×C₄	1	1	yes	characteristic
86	#233549	D₄	1	1	yes	characteristic
87	C₂×#10336	C₂×C₄	1	1	yes	characteristic
88	C₂×#10336	D₄	1	1	yes	characteristic
89	#213855	C₂×C₄	1	1	yes	characteristic
90	#213855	D₄	1	1	yes	characteristic
91	#213855	D₄	1	1	yes	characteristic
92	#213855	C₂³	1	1	yes	characteristic
93	#213854	C₂×C₄	1	1	yes	characteristic
94	#213854	D₄	1	1	yes	characteristic
95	#213854	D₄	1	1	yes	characteristic
96	#213854	C₂³	1	1	yes	characteristic
97	#190116	C₂×C₄	1	1	yes	characteristic
98	#190116	D₄	1	1	yes	characteristic
99	C₂×#8748	D₄	1	1	yes	characteristic
100	C₂×#8748	D₄	1	1	yes	characteristic
101	#188049	C₂×C₄	1	1	yes	characteristic
102	#188049	D₄	1	1	yes	characteristic
103	#149742	C₂³	1	2	yes	—
104	#149742	C₂³	1	2	yes	—
105	#128062	C₂³	1	2	yes	—
106	C₂³×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
107	C₂²×#534	C₂²⋊C₄	1	1	yes	characteristic
108	#47563	C₂×D₄	1	1	yes	characteristic
109	#47195	C₂×D₄	1	1	yes	characteristic
110	#46998	C₂²⋊C₄	1	1	yes	characteristic
111	#46384	C₂²⋊C₄	1	1	yes	characteristic
112	#46384	C₂²⋊C₄	1	1	yes	characteristic
113	#46384	C₂²⋊C₄	1	1	yes	characteristic
114	#46384	C₂×D₄	1	1	yes	characteristic
115	#46384	C₂×D₄	1	1	yes	characteristic
116	#37475	C₂²⋊C₄	1	1	yes	characteristic
117	#37436	C₂²⋊C₄	1	1	yes	characteristic
118	C₂×#2842	C₂²⋊C₄	1	1	yes	characteristic
119	#35446	C₂²⋊C₄	1	1	yes	characteristic
120	#35446	C₂×D₄	1	1	yes	characteristic
121	#35346	C₂²⋊C₄	1	1	yes	characteristic
122	#35346	C₂×D₄	1	1	yes	characteristic
123	C₂×#2403	C₂²⋊C₄	1	1	yes	characteristic
124	C₂×#2309	C₂×D₄	1	1	yes	characteristic
125	C₂×#2309	C₂×D₄	1	1	yes	characteristic
126	C₂×#2308	C₂²⋊C₄	1	1	yes	characteristic
127	#20586	C₂²×C₄	1	1	yes	characteristic
128	#20586	C₂×D₄	1	1	yes	characteristic
129	#20586	C₂×D₄	1	1	yes	characteristic
130	#20586	C₂×D₄	1	1	yes	characteristic
131	#20586	C₂×D₄	1	1	yes	characteristic
132	#20586	C₂×D₄	1	1	yes	characteristic
133	#20586	C₂×D₄	1	1	yes	characteristic
134	#20586	C₂⁴	1	1	yes	characteristic
135	#20585	C₂²⋊C₄	1	1	yes	characteristic
136	#20585	C₂²⋊C₄	1	1	yes	characteristic
137	#20585	C₂×D₄	1	1	yes	characteristic
138	#20585	C₂×D₄	1	1	yes	characteristic
139	C₂×#1781	C₂²⋊C₄	1	1	yes	characteristic
140	C₂×#1781	C₂²⋊C₄	1	1	yes	characteristic
141	C₂×#1781	C₂²×C₄	1	1	yes	characteristic
142	C₂×#1781	C₂×D₄	1	1	yes	characteristic
143	C₂×#1781	C₂×D₄	1	1	yes	characteristic
144	C₂×#1781	C₂×D₄	1	1	yes	characteristic
145	#10392	C₂²⋊C₄	1	1	yes	characteristic
146	#10392	C₂²⋊C₄	1	1	yes	characteristic
147	#10392	C₂²⋊C₄	1	1	yes	characteristic
148	#10392	C₂²⋊C₄	1	1	yes	characteristic
149	#10392	C₂²⋊C₄	1	1	yes	characteristic
150	#10392	C₂²⋊C₄	1	1	yes	characteristic
151	#10392	C₂²×C₄	1	1	yes	characteristic
152	#10392	C₂²×C₄	1	1	yes	characteristic
153	#10392	C₂²×C₄	1	1	yes	characteristic
154	#10392	C₂×D₄	1	1	yes	characteristic
155	#10392	C₂×D₄	1	1	yes	characteristic
156	#10392	C₂×D₄	1	1	yes	characteristic
157	#10390	C₂²⋊C₄	1	1	yes	characteristic
158	#10390	C₂²⋊C₄	1	1	yes	characteristic
159	#10390	C₂²×C₄	1	1	yes	characteristic
160	#10390	C₂×D₄	1	1	yes	characteristic
161	#10338	C₂²⋊C₄	1	1	yes	characteristic
162	#10338	C₂²⋊C₄	1	1	yes	characteristic
163	#10338	C₂²×C₄	1	1	yes	characteristic
164	#10338	C₂×D₄	1	1	yes	characteristic
165	#10336	C₂²⋊C₄	1	1	yes	characteristic
166	#10336	C₂²⋊C₄	1	1	yes	characteristic
167	#10336	C₂²⋊C₄	1	1	yes	characteristic
168	#10336	C₂²⋊C₄	1	1	yes	characteristic
169	#10336	C₂²⋊C₄	1	1	yes	characteristic
170	#10336	C₂²⋊C₄	1	1	yes	characteristic
171	#10336	C₂²×C₄	1	1	yes	characteristic
172	#10336	C₂²×C₄	1	1	yes	characteristic
173	#10336	C₂²×C₄	1	1	yes	characteristic
174	#10336	C₂×D₄	1	1	yes	characteristic
175	#10336	C₂×D₄	1	1	yes	characteristic
176	#10336	C₂×D₄	1	1	yes	characteristic
177	#8748	C₂²⋊C₄	1	1	yes	characteristic
178	#8748	C₂²⋊C₄	1	1	yes	characteristic
179	#8748	C₂²⋊C₄	1	1	yes	characteristic
180	#8748	C₂²⋊C₄	1	1	yes	characteristic
181	#8748	C₂×D₄	1	1	yes	characteristic
182	#8748	C₂×D₄	1	1	yes	characteristic
183	#8748	C₂×D₄	1	1	yes	characteristic
184	#8748	C₂×D₄	1	1	yes	characteristic
185	#8747	C₂²⋊C₄	1	1	yes	characteristic
186	#8747	C₂²⋊C₄	1	1	yes	characteristic
187	#8747	C₂²⋊C₄	1	1	yes	characteristic
188	#8747	C₂²⋊C₄	1	1	yes	characteristic
189	#8747	C₂²×C₄	1	1	yes	characteristic
190	#8747	C₂²×C₄	1	1	yes	characteristic
191	#8747	C₂×D₄	1	1	yes	characteristic
192	#8747	C₂×D₄	1	1	yes	characteristic
193	#8543	C₂²⋊C₄	1	1	yes	characteristic
194	#8543	C₂²⋊C₄	1	1	yes	characteristic
195	#8543	C₂²×C₄	1	1	yes	characteristic
196	#8543	C₂×D₄	1	1	yes	characteristic
197	#8541	C₂²⋊C₄	1	1	yes	characteristic
198	#8541	C₂²⋊C₄	1	1	yes	characteristic
199	#8541	C₂²×C₄	1	1	yes	characteristic
200	#8541	C₂×D₄	1	1	yes	characteristic
201	C₂×#1304	C₂²⋊C₄	1	1	yes	characteristic
202	C₂×#1304	C₂²⋊C₄	1	1	yes	characteristic
203	C₂×#1304	C₂²⋊C₄	1	1	yes	characteristic
204	C₂×#1304	C₂²⋊C₄	1	1	yes	characteristic
205	C₂²×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	1	yes	characteristic
206	C₂²×H(5,𝔽₂)	#120	1	1	yes	characteristic
207	C₂²×H(5,𝔽₂)	#120	1	1	yes	characteristic
208	C₂²×H(5,𝔽₂)	C₂²×D₄	1	1	yes	characteristic
209	C₂⁴×D₄	#104	1	1	yes	characteristic
210	C₂⁴×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
211	C₂⁴×D₄	#120	1	1	yes	characteristic
212	C₂⁴×D₄	#120	1	1	yes	characteristic
213	C₂²×#123	#104	1	1	yes	characteristic
214	C₂²×#123	C₂×C₂²⋊C₄	1	1	yes	characteristic
215	C₂²×#120	#104	1	1	yes	characteristic
216	C₂²×#120	C₂×C₂²⋊C₄	1	1	yes	characteristic
217	C₂³×C₂²⋊C₄	#104	1	1	yes	characteristic
218	#2842	C₂×C₂²⋊C₄	1	1	yes	characteristic
219	#2842	C₂×C₂²⋊C₄	1	1	yes	characteristic
220	#2842	C₂×C₂²⋊C₄	1	1	yes	characteristic
221	#2840	C₂×C₂²⋊C₄	1	1	yes	characteristic
222	#2483	C₂×C₂²⋊C₄	1	1	yes	characteristic
223	#2403	C₂×C₂²⋊C₄	1	1	yes	characteristic
224	#2403	C₂×C₂²⋊C₄	1	1	yes	characteristic
225	#2403	C₂×C₂²⋊C₄	1	1	yes	characteristic
226	#2309	C₂×C₂²⋊C₄	1	1	yes	characteristic
227	#2309	C₂×C₂²⋊C₄	1	1	yes	characteristic
228	#2309	#120	1	1	yes	characteristic
229	#2309	#120	1	1	yes	characteristic
230	#2309	#120	1	1	yes	characteristic
231	#2309	#120	1	1	yes	characteristic
232	#2309	C₂²×D₄	1	1	yes	characteristic
233	#2309	C₂²×D₄	1	1	yes	characteristic
234	#2308	C₂×C₂²⋊C₄	1	1	yes	characteristic
235	#2308	C₂×C₂²⋊C₄	1	1	yes	characteristic
236	C₂×#379	C₂×C₂²⋊C₄	1	1	yes	characteristic
237	C₂×#379	C₂×C₂²⋊C₄	1	1	yes	characteristic
238	C₂×#379	#120	1	1	yes	characteristic
239	C₂×#379	#120	1	1	yes	characteristic
240	#1781	C₂×C₂²⋊C₄	1	1	yes	characteristic
241	#1781	C₂×C₂²⋊C₄	1	1	yes	characteristic
242	#1781	C₂×C₂²⋊C₄	1	1	yes	characteristic
243	#1781	C₂×C₂²⋊C₄	1	1	yes	characteristic
244	#1781	C₂×C₂²⋊C₄	1	1	yes	characteristic
245	#1781	C₂×C₂²⋊C₄	1	1	yes	characteristic
246	#1781	C₂×C₂²⋊C₄	1	1	yes	characteristic
247	#1781	C₂×C₂²⋊C₄	1	1	yes	characteristic
248	#1781	C₂×C₂²⋊C₄	1	1	yes	characteristic
249	#1781	C₂×C₂²⋊C₄	1	1	yes	characteristic
250	#1781	#120	1	1	yes	characteristic
251	#1781	#120	1	1	yes	characteristic
252	#1781	#120	1	1	yes	characteristic
253	#1781	#120	1	1	yes	characteristic
254	#1781	#120	1	1	yes	characteristic
255	#1781	#120	1	1	yes	characteristic
256	#1781	C₂³×C₄	1	1	yes	characteristic
257	#1781	C₂²×D₄	1	1	yes	characteristic
258	#1781	C₂²×D₄	1	1	yes	characteristic
259	#1781	C₂²×D₄	1	1	yes	characteristic
260	#1304	C₂×C₂²⋊C₄	1	1	yes	characteristic
261	#1304	C₂×C₂²⋊C₄	1	1	yes	characteristic
262	#1304	C₂×C₂²⋊C₄	1	1	yes	characteristic
263	#1304	C₂×C₂²⋊C₄	1	1	yes	characteristic
264	#1304	C₂×C₂²⋊C₄	1	1	yes	characteristic
265	#1304	C₂×C₂²⋊C₄	1	1	yes	characteristic
266	#1304	C₂×C₂²⋊C₄	1	1	yes	characteristic
267	#1304	C₂×C₂²⋊C₄	1	1	yes	characteristic
268	C₂⁶	#379	1	1	yes	characteristic
269	C₂⁶	C₂×#104	1	1	yes	characteristic
270	C₂⁶	C₂×#104	1	1	yes	characteristic
271	C₂⁶	#453	1	1	yes	characteristic
272	C₂⁶	#458	1	1	yes	characteristic
273	C₂³×D₄	#379	1	1	yes	characteristic
274	C₂³×D₄	#379	1	1	yes	characteristic
275	C₂³×D₄	#379	1	1	yes	characteristic
276	C₂³×D₄	C₂×#104	1	1	yes	characteristic
277	C₂³×D₄	#421	1	1	yes	characteristic
278	C₂³×D₄	#453	1	1	yes	characteristic
279	C₂³×D₄	#455	1	1	yes	characteristic
280	C₂³×D₄	B(4,𝔽₂)	1	1	yes	characteristic
281	C₂³×D₄	#458	1	1	yes	characteristic
282	C₂³×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
283	C₂³×D₄	C₂×#120	1	1	yes	characteristic
284	C₂³×D₄	C₂×#120	1	1	yes	characteristic
285	C₂⁴×C₄	C₂×#104	1	1	yes	characteristic
286	C₂⁴×C₄	#421	1	1	yes	characteristic
287	C₂⁴×C₄	#455	1	1	yes	characteristic
288	C₂⁴×C₄	B(4,𝔽₂)	1	1	yes	characteristic
289	C₂²×C₂²⋊C₄	C₂×#104	1	1	yes	characteristic
290	C₂²×C₂²⋊C₄	C₂×#104	1	1	yes	characteristic
291	#379	#379	1	1	yes	characteristic
292	#379	#379	1	1	yes	characteristic
293	#379	#379	1	1	yes	characteristic
294	#379	#379	1	1	yes	characteristic
295	#379	C₂²×C₂²⋊C₄	1	1	yes	characteristic
296	#379	C₂²×C₂²⋊C₄	1	1	yes	characteristic
297	#379	C₂×#120	1	1	yes	characteristic
298	#379	C₂×#120	1	1	yes	characteristic
299	C₂⁵	#1789	1	1	yes	characteristic
300	C₂⁵	#1789	1	1	yes	characteristic
301	C₂⁵	#1789	1	1	yes	characteristic
302	C₂⁵	#1790	1	1	yes	characteristic
303	C₂⁵	#1790	1	1	yes	characteristic
304	C₂⁵	#1790	1	1	yes	characteristic
305	C₂⁵	#1792	1	1	yes	characteristic
306	C₂⁵	#1792	1	1	yes	characteristic
307	C₂⁵	#1792	1	1	yes	characteristic
308	C₂⁵	C₂×#379	1	1	yes	characteristic
309	C₂⁵	C₂²×#104	1	1	yes	characteristic
310	C₂⁵	C₂×#453	1	1	yes	characteristic
311	C₂⁵	C₂×#458	1	1	yes	characteristic
312	C₂³×C₄	#1789	1	1	yes	characteristic
313	C₂³×C₄	#1790	1	1	yes	characteristic
314	C₂³×C₄	#1792	1	1	yes	characteristic
315	C₂³×C₄	C₂×#421	1	1	yes	characteristic
316	C₂³×C₄	C₂×#455	1	1	yes	characteristic
317	C₂³×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
318	C₂⁴	#8346	1	1	yes	characteristic
319	C₂⁴	#8346	1	1	yes	characteristic
320	C₂⁴	#8346	1	1	yes	characteristic
321	C₂⁴	#8346	1	1	yes	characteristic
322	C₂⁴	#12753	1	1	yes	characteristic
323	C₂⁴	#12753	1	1	yes	characteristic
324	C₂⁴	#12753	1	1	yes	characteristic
325	C₂⁴	#12753	1	1	yes	characteristic
326	C₂⁴	C₂×#1789	1	1	yes	characteristic
327	C₂⁴	C₂×#1790	1	1	yes	characteristic
328	C₂⁴	C₂×#1792	1	1	yes	characteristic
329	C₂³	#130062	1	1	yes	characteristic
330	C₂³	#130062	1	1	yes	characteristic
331	C₂³	#130062	1	1	yes	characteristic
332	C₂³	#130062	1	1	yes	characteristic
333	C₂³	C₂×#8346	1	1	yes	characteristic
334	C₂³	C₂×#12753	1	1	yes	characteristic
335	C₂³	C₂×#12753	1	1	yes	characteristic
336	C₂²	#72216452	1	1	yes	characteristic
337	C₂²	#72216452	1	1	yes	characteristic
338	C₂²	C₂×#130062	1	1	yes	characteristic
339	C₂	C₂×#72216452	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂	C₂×#72216452
commutator	#1781	C₂³×C₄
Frattini, cosocle	#20586	C₂⁴
prime radical	#72340246	C₂
LCS	G ▷ #1781 ▷ C₂⁵ ▷ C₂³ ▷ C₂² ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂ ◁ C₂³ ◁ C₂⁵ ◁ C₂⁴×D₄ ◁ C₂×#20586 ◁ G
LECS	G ▷ #20586 ▷ C₂⁵ ▷ C₂³ ▷ C₂² ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72340447	C₂	semidirect
2. #72340320	C₂	semidirect
3. C₂×#72213786	C₂	semidirect
4. C₂×#72236934	C₂	semidirect
5. #72340267	C₂	semidirect
6. C₂×#149742	C₂²	semidirect
7. C₂×#149742	C₂²	semidirect
8. #72340255	C₂	semidirect
9. C₂×#356056	C₂²	semidirect
12. #72340220	C₄	semidirect
14. #72311023	C₄	semidirect
15. C₂×#128062	C₂²	semidirect
16. #72310879	C₄	semidirect
17. #72285966	C₄	semidirect
18. #72285259	C₂	semidirect
19. #72284602	C₄	semidirect
20. #72284591	C₄	semidirect
22. #72284136	C₂	semidirect
23. #72283944	C₂	semidirect
24. #72283936	C₂²	semidirect
26. #72283788	C₂²	semidirect
27. #72283614	C₂²	semidirect
28. #72283505	C₂²	semidirect
30. #72252351	C₂	semidirect
31. #72251350	C₄	semidirect
33. #72241392	C₂²	semidirect
35. #72241347	C₄	semidirect
36. #72237008	C₂²	semidirect
38. #72236934	C₂²	semidirect
39. #72213791	C₂²	semidirect
41. #72213786	C₂²	semidirect
42. #72213513	C₂²	semidirect
49. #346288	C₂×C₄	semidirect
50. #346284	C₂×C₄	semidirect
51. #346279	C₂×C₄	semidirect
52. #346276	C₂×C₄	semidirect
53. #346269	C₂×C₄	semidirect
54. #346269	C₂×C₄	semidirect
55. #346267	C₂×C₄	semidirect
56. #346265	C₂×C₄	semidirect
57. #346250	C₂×C₄	semidirect
58. #346239	C₂×C₄	semidirect
59. #346239	C₂×C₄	semidirect
60. #346231	C₂×C₄	semidirect
77. #245293	C₂×C₄	semidirect
78. #245282	C₂×C₄	semidirect
79. #245243	C₂×C₄	semidirect
80. #245225	C₂×C₄	semidirect

Maximal subgroups

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

subgroup	index
#72340447	2
#72340320	2
C₂×#72213786	2
C₂×#72236934	2
#72340267	2
#72340255	2
#72340246	2
#72285259	2
#72284136	2
#72283944	2
#72252351	2