Subgroups — #72292091

Order 2048.

At least 7740 conjugacy classes of subgroups; only the 900 normal subgroups are shown.

The subgroup lattice has 377 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72291955	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#110086	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#648360	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#115163	C₂	1	2	yes	maximal, complemented
5	C₂×#233541	C₂	1	1	yes	maximal, characteristic, complemented
6	#72235078	C₂	1	2	yes	maximal, complemented
7	#72225796	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#394058	C₂	1	2	yes	maximal, complemented
9	#72218451	C₂	1	2	yes	maximal, complemented
10	#72217699	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#115690	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂⁴×#120	C₂²	1	2	yes	—
13	#7641845	C₂²	1	1	yes	characteristic
14	C₂²×#2846	C₂²	1	1	yes	characteristic
15	C₂²×#2846	C₂²	1	1	yes	characteristic
16	C₂×#34980	C₂²	1	2	yes	—
17	C₂²×#2410	C₂²	1	2	yes	—
18	C₂²×#2403	C₂²	1	1	yes	characteristic
19	C₂×#21746	C₂²	1	2	yes	—
20	C₂×#21746	C₂²	1	1	yes	characteristic
21	C₂×#21746	C₂²	1	1	yes	characteristic
22	C₂²×#1898	C₂²	1	2	yes	—
23	C₂²×#1781	C₂²	1	2	yes	—
24	C₂²×#1781	C₂²	1	2	yes	—
25	C₂×#14679	C₂²	1	2	yes	—
26	C₂×#14679	C₂²	1	1	yes	characteristic
27	#517411	C₂²	1	2	yes	—
28	C₂×C₂²⋊C₄²	C₂²	1	1	yes	characteristic
29	#355913	C₂²	1	1	yes	characteristic
30	C₂×#10735	C₂²	1	2	yes	—
31	C₂×#10735	C₂²	1	2	yes	—
32	C₂×#10735	C₂²	1	2	yes	—
33	C₂×#8101	C₂²	1	1	yes	characteristic
34	C₂×#8101	C₂²	1	1	yes	characteristic
35	C₂⁸	C₂³	1	1	yes	characteristic
36	C₂⁵×D₄	C₂³	1	2	yes	—
37	C₂³×#120	D₄	1	8	yes	complemented
38	C₂³×#120	D₄	1	2	yes	complemented
39	C₂³×#120	D₄	1	2	yes	complemented
40	C₂³×#120	C₂³	1	1	yes	characteristic
41	C₂³×#120	C₂³	1	1	yes	characteristic
42	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
43	C₂³×#99	D₄	1	4	yes	complemented
44	C₂×#2403	D₄	1	4	yes	complemented
45	C₂²×#386	D₄	1	2	yes	complemented
46	C₂²×#385	D₄	1	2	yes	complemented
47	C₂²×#379	D₄	1	2	yes	complemented
48	C₂²×#379	D₄	1	2	yes	complemented
49	C₂²×#379	C₂³	1	1	yes	characteristic
50	C₂²×#379	C₂³	1	1	yes	characteristic
51	C₂²×#379	C₂³	1	2	yes	—
52	C₂²×#379	C₂³	1	2	yes	—
53	C₂²×#379	C₂³	1	1	yes	characteristic
54	C₂²×#379	C₂³	1	1	yes	characteristic
55	C₂×#1819	D₄	1	2	yes	complemented
56	C₂×#1781	D₄	1	2	yes	complemented
57	C₂²×#342	D₄	1	4	yes	complemented
58	C₂²×#342	D₄	1	8	yes	complemented
59	C₂²⋊C₄²	D₄	1	4	yes	complemented
60	#10735	D₄	1	8	yes	complemented
61	#10725	D₄	1	4	yes	complemented
62	#8101	D₄	1	4	yes	complemented
63	C₂⁷	C₂×D₄	1	2	yes	—
64	C₂⁷	C₂×D₄	1	2	yes	—
65	C₂⁷	C₂×D₄	1	4	yes	—
66	C₂⁷	C₂⁴	1	1	yes	characteristic
67	C₂⁴×D₄	C₂×D₄	1	2	yes	—
68	C₂⁴×D₄	C₂×D₄	1	4	yes	—
69	C₂⁴×D₄	C₂×D₄	1	4	yes	—
70	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
71	C₂⁴×D₄	C₂×D₄	1	2	yes	—
72	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
73	C₂⁵×C₄	C₂×D₄	1	2	yes	—
74	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
75	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
76	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
77	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
78	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
79	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	—
80	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	—
81	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	—
82	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	—
83	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
84	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	—
85	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	—
86	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
87	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	—
88	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	—
89	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
90	C₂³×C₂²⋊C₄	#41	1	4	yes	—
91	C₂×#379	C₂×D₄	1	2	yes	—
92	C₂×#379	C₂×D₄	1	2	yes	—
93	C₂×#379	C₂×D₄	1	4	yes	—
94	C₂×#379	C₂×D₄	1	2	yes	—
95	C₂×#379	C₂×D₄	1	2	yes	—
96	C₂×#379	C₂×D₄	1	2	yes	—
97	C₂×#379	C₂×D₄	1	2	yes	—
98	C₂×#379	C₂×D₄	1	2	yes	—
99	C₂×#379	C₂×D₄	1	4	yes	—
100	C₂×#379	C₂×D₄	1	4	yes	—
101	C₂×#379	#41	1	2	yes	—
102	C₂⁶	#120	1	1	yes	characteristic
103	C₂⁶	#120	1	4	yes	—
104	C₂⁶	#120	1	4	yes	—
105	C₂⁶	#127	1	1	yes	characteristic, complemented
106	C₂⁶	C₂²×D₄	1	2	yes	—
107	C₂⁶	C₂²×D₄	1	2	yes	—
108	C₂⁶	C₂²×D₄	1	2	yes	—
109	C₂⁶	C₂²×D₄	1	1	yes	characteristic
110	C₂⁶	C₂²×D₄	1	1	yes	characteristic
111	C₂⁶	C₂²×D₄	1	1	yes	characteristic
112	C₂⁶	C₂²×D₄	1	2	yes	—
113	C₂⁶	C₂²×D₄	1	1	yes	characteristic
114	C₂⁶	C₂²×D₄	1	1	yes	characteristic
115	C₂⁶	C₂²×D₄	1	2	yes	—
116	C₂⁶	C₂²×D₄	1	1	yes	characteristic
117	C₂⁶	C₂×#41	1	2	yes	—
118	C₂⁶	C₂×#41	1	1	yes	characteristic
119	C₂⁶	H(5,𝔽₂)	1	2	yes	—
120	C₂⁶	H(5,𝔽₂)	1	2	yes	—
121	C₂⁶	H(5,𝔽₂)	1	2	yes	—
122	C₂⁶	H(5,𝔽₂)	1	2	yes	—
123	C₂⁶	H(5,𝔽₂)	1	2	yes	—
124	C₂⁶	H(5,𝔽₂)	1	2	yes	—
125	C₂⁴×C₄	#120	1	2	yes	—
126	C₂⁴×C₄	#120	1	1	yes	characteristic
127	C₂⁴×C₄	#120	1	4	yes	—
128	C₂⁴×C₄	#127	1	2	yes	complemented
129	C₂⁴×C₄	#127	1	1	yes	characteristic, complemented
130	C₂⁴×C₄	#127	1	4	yes	complemented
131	C₂²×C₂²⋊C₄	#120	1	4	yes	—
132	C₂²×C₂²⋊C₄	#120	1	4	yes	—
133	C₂²×C₂²⋊C₄	#120	1	8	yes	—
134	C₂²×C₂²⋊C₄	#120	1	4	yes	—
135	C₂²×C₂²⋊C₄	#120	1	4	yes	—
136	C₂²×C₂²⋊C₄	#120	1	4	yes	—
137	C₂²×C₂²⋊C₄	#120	1	4	yes	—
138	C₂²×C₂²⋊C₄	#121	1	4	yes	—
139	C₂²×C₂²⋊C₄	#121	1	8	yes	—
140	C₂²×C₂²⋊C₄	#121	1	8	yes	—
141	C₂²×C₂²⋊C₄	#121	1	4	yes	—
142	C₂²×C₂²⋊C₄	#121	1	4	yes	—
143	C₂²×C₂²⋊C₄	#127	1	8	yes	—
144	C₂²×C₂²⋊C₄	#127	1	8	yes	complemented
145	#379	#120	1	4	yes	—
146	#379	#121	1	4	yes	—
147	#379	#121	1	4	yes	—
148	#379	#127	1	4	yes	—
149	#379	#127	1	4	yes	complemented
150	C₂⁵	C₂×#120	1	1	yes	characteristic
151	C₂⁵	C₂×#120	1	2	yes	—
152	C₂⁵	C₂×#120	1	2	yes	—
153	C₂⁵	C₂×#120	1	1	yes	characteristic
154	C₂⁵	C₂×#120	1	2	yes	—
155	C₂⁵	C₂×#120	1	1	yes	characteristic
156	C₂⁵	C₂×#120	1	1	yes	characteristic
157	C₂⁵	C₂×#120	1	1	yes	characteristic
158	C₂⁵	C₂×#120	1	2	yes	—
159	C₂⁵	C₂×#121	1	2	yes	—
160	C₂⁵	C₂×#121	1	2	yes	—
161	C₂⁵	C₂×#121	1	2	yes	—
162	C₂⁵	C₂×#121	1	1	yes	characteristic
163	C₂⁵	C₂×#121	1	1	yes	characteristic
164	C₂⁵	C₂×#121	1	1	yes	characteristic
165	C₂⁵	C₂×#127	1	1	yes	characteristic
166	C₂⁵	C₂×#127	1	1	yes	characteristic
167	C₂⁵	C₂×#127	1	2	yes	—
168	C₂⁵	C₂×#127	1	2	yes	—
169	C₂⁵	C₂×#127	1	1	yes	characteristic
170	C₂⁵	C₂×#127	1	1	yes	characteristic
171	C₂⁵	#532	1	2	yes	—
172	C₂⁵	#532	1	1	yes	characteristic
173	C₂⁵	#534	1	2	yes	—
174	C₂⁵	#534	1	2	yes	—
175	C₂⁵	#534	1	1	yes	characteristic
176	C₂⁵	#534	1	1	yes	characteristic
177	C₂⁵	#534	1	2	yes	—
178	C₂⁵	#534	1	2	yes	—
179	C₂⁵	#534	1	2	yes	—
180	C₂⁵	#535	1	2	yes	—
181	C₂⁵	#535	1	2	yes	—
182	C₂⁵	#535	1	2	yes	—
183	C₂⁵	#535	1	2	yes	—
184	C₂⁵	#535	1	2	yes	—
185	C₂⁵	#535	1	1	yes	characteristic
186	C₂⁵	#535	1	1	yes	characteristic
187	C₂⁵	#535	1	2	yes	—
188	C₂⁵	#535	1	1	yes	characteristic
189	C₂⁵	#535	1	1	yes	characteristic
190	C₂⁵	#535	1	2	yes	—
191	C₂⁵	#535	1	2	yes	—
192	C₂⁵	#535	1	2	yes	—
193	C₂⁵	#535	1	2	yes	—
194	C₂⁵	#540	1	2	yes	—
195	C₂⁵	#540	1	2	yes	—
196	C₂⁵	#540	1	2	yes	—
197	C₂⁵	D₄²	1	2	yes	—
198	C₂⁵	D₄²	1	2	yes	—
199	C₂⁵	D₄²	1	2	yes	—
200	C₂⁵	D₄²	1	2	yes	—
201	C₂⁵	D₄²	1	2	yes	—
202	C₂⁵	D₄²	1	2	yes	—
203	C₂⁵	D₄²	1	2	yes	—
204	C₂⁵	D₄²	1	2	yes	—
205	C₂⁵	D₄²	1	2	yes	—
206	C₂⁵	D₄²	1	2	yes	—
207	C₂⁵	D₄²	1	2	yes	—
208	C₂⁵	D₄²	1	2	yes	—
209	C₂⁵	D₄²	1	2	yes	—
210	C₂⁵	D₄²	1	2	yes	—
211	C₂⁵	D₄²	1	2	yes	—
212	C₂⁵	D₄²	1	2	yes	—
213	C₂⁵	D₄²	1	2	yes	—
214	C₂⁵	D₄²	1	2	yes	—
215	C₂⁵	D₄²	1	2	yes	—
216	C₂⁵	D₄²	1	2	yes	—
217	C₂⁵	D₄²	1	2	yes	—
218	C₂⁵	D₄²	1	2	yes	—
219	C₂⁵	D₄²	1	2	yes	—
220	C₂⁵	D₄²	1	2	yes	—
221	C₂⁵	#546	1	2	yes	—
222	C₂⁵	#546	1	2	yes	—
223	C₂⁵	#546	1	2	yes	—
224	C₂⁵	#546	1	2	yes	—
225	C₂⁵	#546	1	2	yes	—
226	C₂⁵	#546	1	2	yes	—
227	C₂⁵	#550	1	2	yes	—
228	C₂⁵	#550	1	2	yes	—
229	C₂⁵	#550	1	2	yes	—
230	C₂⁵	#550	1	2	yes	—
231	C₂⁵	#550	1	2	yes	—
232	C₂⁵	#550	1	2	yes	—
233	C₂⁵	#560	1	2	yes	—
234	C₂⁵	#560	1	2	yes	—
235	C₂⁵	#560	1	2	yes	—
236	C₂⁵	#560	1	2	yes	—
237	C₂×C₂²⋊C₄	#392	1	8	yes	—
238	C₂×C₂²⋊C₄	#392	1	8	yes	—
239	C₂×C₂²⋊C₄	#392	1	8	yes	—
240	C₂×C₂²⋊C₄	B(4,𝔽₂)	1	16	yes	—
241	C₂⁴	C₂×#392	1	1	yes	characteristic
242	C₂⁴	C₂×#392	1	2	yes	—
243	C₂⁴	#2403	1	2	yes	—
244	C₂⁴	#2403	1	2	yes	—
245	C₂⁴	#2403	1	1	yes	characteristic
246	C₂⁴	#2403	1	2	yes	—
247	C₂⁴	#2403	1	2	yes	—
248	C₂⁴	#2403	1	1	yes	characteristic
249	C₂⁴	#2403	1	2	yes	—
250	C₂⁴	#2408	1	2	yes	—
251	C₂⁴	#2408	1	2	yes	—
252	C₂⁴	#2408	1	2	yes	—
253	C₂⁴	#2410	1	2	yes	—
254	C₂⁴	#2410	1	1	yes	characteristic
255	C₂⁴	#2410	1	2	yes	—
256	C₂⁴	#2410	1	2	yes	—
257	C₂⁴	#2410	1	2	yes	—
258	C₂⁴	#2410	1	2	yes	—
259	C₂⁴	#2410	1	1	yes	characteristic
260	C₂⁴	#2428	1	2	yes	—
261	C₂⁴	#2428	1	2	yes	—
262	C₂⁴	#2428	1	2	yes	—
263	C₂⁴	#2428	1	2	yes	—
264	C₂⁴	#2428	1	2	yes	—
265	C₂⁴	#2428	1	2	yes	—
266	C₂⁴	#2431	1	1	yes	characteristic
267	C₂⁴	#2431	1	2	yes	—
268	C₂⁴	#2431	1	1	yes	characteristic
269	C₂⁴	#2431	1	2	yes	—
270	C₂⁴	#2433	1	1	yes	characteristic
271	C₂⁴	#2433	1	1	yes	characteristic
272	C₂⁴	#2433	1	1	yes	characteristic
273	C₂⁴	#2433	1	2	yes	—
274	C₂⁴	#2433	1	2	yes	—
275	C₂⁴	#2433	1	2	yes	—
276	C₂⁴	#2433	1	2	yes	—
277	C₂⁴	#2433	1	2	yes	—
278	C₂⁴	#2433	1	2	yes	—
279	C₂⁴	#2433	1	2	yes	—
280	C₂⁴	#2433	1	1	yes	characteristic
281	C₂⁴	#2433	1	2	yes	—
282	C₂⁴	#2433	1	2	yes	—
283	C₂⁴	#2433	1	2	yes	—
284	C₂⁴	#2541	1	2	yes	—
285	C₂⁴	#2541	1	2	yes	—
286	C₂⁴	#2541	1	2	yes	—
287	C₂⁴	#2541	1	2	yes	—
288	C₂⁴	#2541	1	1	yes	characteristic
289	C₂⁴	#2541	1	2	yes	—
290	C₂⁴	#2541	1	2	yes	—
291	C₂⁴	#2541	1	2	yes	—
292	C₂⁴	#2541	1	2	yes	—
293	C₂⁴	#2541	1	1	yes	characteristic
294	C₂⁴	#2613	1	2	yes	—
295	C₂⁴	#2613	1	1	yes	characteristic
296	C₂⁴	#2619	1	2	yes	—
297	C₂⁴	#2619	1	1	yes	characteristic
298	C₂⁴	#2657	1	2	yes	—
299	C₂⁴	#2657	1	1	yes	characteristic
300	C₂⁴	#2669	1	2	yes	—
301	C₂⁴	#2669	1	2	yes	—
302	C₂⁴	#2669	1	2	yes	—
303	C₂⁴	#2669	1	2	yes	—
304	C₂⁴	#2669	1	2	yes	—
305	C₂⁴	#2669	1	2	yes	—
306	C₂⁴	#2669	1	2	yes	—
307	C₂⁴	#2669	1	2	yes	—
308	C₂⁴	#2669	1	2	yes	—
309	C₂⁴	#2669	1	2	yes	—
310	C₂⁴	#2669	1	2	yes	—
311	C₂⁴	#2669	1	2	yes	—
312	C₂⁴	#2673	1	2	yes	—
313	C₂⁴	#2673	1	2	yes	—
314	C₂⁴	#2673	1	2	yes	—
315	C₂⁴	#2673	1	2	yes	—
316	C₂⁴	#2673	1	2	yes	—
317	C₂⁴	#2673	1	2	yes	—
318	C₂⁴	#2673	1	2	yes	—
319	C₂⁴	#2673	1	2	yes	—
320	C₂⁴	#2673	1	2	yes	—
321	C₂⁴	#2673	1	2	yes	—
322	C₂⁴	#2673	1	2	yes	—
323	C₂⁴	#2673	1	2	yes	—
324	C₂⁴	#2818	1	2	yes	—
325	C₂⁴	#2846	1	1	yes	characteristic
326	C₂⁴	#2856	1	1	yes	characteristic
327	C₂⁴	#2867	1	1	yes	characteristic
328	C₂⁴	C₂×B(4,𝔽₂)	1	8	yes	—
329	C₂⁴	#3027	1	8	yes	—
330	C₂²⋊C₄	#2021	1	16	yes	complemented
331	C₂³	#14715	1	2	yes	—
332	C₂³	#14715	1	1	yes	characteristic
333	C₂³	#15124	1	1	yes	characteristic
334	C₂³	#15124	1	2	yes	—
335	C₂³	#15142	1	1	yes	characteristic
336	C₂³	#15142	1	2	yes	—
337	C₂³	#15258	1	1	yes	characteristic
338	C₂³	#15258	1	2	yes	—
339	C₂³	#15258	1	1	yes	characteristic
340	C₂³	#15310	1	2	yes	—
341	C₂³	#15310	1	2	yes	—
342	C₂³	#15310	1	1	yes	characteristic
343	C₂³	#15310	1	2	yes	—
344	C₂³	#15310	1	2	yes	—
345	C₂³	#15310	1	2	yes	—
346	C₂³	#15310	1	1	yes	characteristic
347	C₂³	#16502	1	2	yes	—
348	C₂³	#16502	1	2	yes	—
349	C₂³	#16502	1	2	yes	—
350	C₂³	C₂×#2021	1	4	yes	—
351	C₂³	#23445	1	4	yes	—
352	C₂³	#23895	1	4	yes	—
353	C₂³	#23900	1	4	yes	—
354	C₂³	#23900	1	4	yes	—
355	C₂³	#23904	1	4	yes	—
356	C₂³	#23904	1	4	yes	—
357	C₂³	#25585	1	8	yes	—
358	C₂³	#25771	1	8	yes	—
359	C₂³	#25771	1	8	yes	—
360	C₂³	#25771	1	8	yes	—
361	C₂²	#158314	1	1	yes	characteristic
362	C₂²	#394058	1	2	yes	—
363	C₂²	#394062	1	2	yes	—
364	C₂²	#394064	1	2	yes	—
365	C₂²	#411867	1	4	yes	—
366	C₂²	#413184	1	4	yes	—
367	C₂²	#417821	1	4	yes	—
368	C₂²	#417821	1	4	yes	—
369	C₂²	#417824	1	2	yes	—
370	C₂²	#422792	1	4	yes	—
371	C₂²	#422792	1	4	yes	—
372	C₂²	#422795	1	2	yes	—
373	C₂	#72210578	1	4	yes	—
374	C₂	#72260780	1	2	yes	—
375	C₂	#72283976	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	#15258
commutator, Frattini, cosocle	C₂⁷	C₂⁴
LCS	G ▷ C₂⁷ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₂⁷ ◁ G
LECS	G ▷ C₂⁷ ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72291955	C₂	semidirect
2. C₂×#110086	C₂	semidirect
3. C₂×#648360	C₂	semidirect
4. C₂×#115163	C₂	semidirect
5. C₂×#233541	C₂	semidirect
6. #72235078	C₂	semidirect
7. #72225796	C₂	semidirect
8. C₂×#394058	C₂	semidirect
9. #72218451	C₂	semidirect
10. #72217699	C₂	semidirect
11. C₂×#115690	C₂	semidirect
37. C₂³×#120	D₄	semidirect
38. C₂³×#120	D₄	semidirect
39. C₂³×#120	D₄	semidirect
43. C₂³×#99	D₄	semidirect
44. C₂×#2403	D₄	semidirect
45. C₂²×#386	D₄	semidirect
46. C₂²×#385	D₄	semidirect
47. C₂²×#379	D₄	semidirect
48. C₂²×#379	D₄	semidirect
55. C₂×#1819	D₄	semidirect
56. C₂×#1781	D₄	semidirect
57. C₂²×#342	D₄	semidirect
58. C₂²×#342	D₄	semidirect
59. C₂²⋊C₄²	D₄	semidirect
60. #10735	D₄	semidirect
61. #10725	D₄	semidirect
62. #8101	D₄	semidirect
105. C₂⁶	#127	semidirect
128. C₂⁴×C₄	#127	semidirect
129. C₂⁴×C₄	#127	semidirect
130. C₂⁴×C₄	#127	semidirect
144. C₂²×C₂²⋊C₄	#127	semidirect
149. #379	#127	semidirect
330. C₂²⋊C₄	#2021	semidirect

Maximal subgroups

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

subgroup	index
#72291955	2
C₂×#110086	2
C₂×#648360	2
C₂×#115163	2
C₂×#233541	2
#72235078	2
#72225796	2
C₂×#394058	2
#72218451	2
#72217699	2
C₂×#115690	2