Subgroups — C₂²×C₅×#448 #11983069

Order 1280.

5326 conjugacy classes of subgroups.

The subgroup lattice has 336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂⁴×C₅×Q₈	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×C₅×SD₁₆	C₂	1	2	yes	maximal, complemented
3	C₂²×C₅×#121	C₂	1	1	yes	maximal, characteristic
4	C₂×C₅×#448	C₂	1	24	yes	maximal, direct product factor
5	C₂²×C₅×#103	C₂	1	2	yes	maximal, complemented
6	C₂²×C₅×C₂²⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂³×C₅×Q₈	—	2	16	no	—
8	C₂³×C₅×Q₈	—	2	6	no	—
9	C₂³×C₅×Q₈	—	2	1	no	—
10	C₂³×C₅×Q₈	C₂²	1	2	yes	—
11	C₂³×C₅×Q₈	C₂²	1	12	yes	complemented
12	C₂³×C₅×D₄	—	2	1	no	—
13	C₂³×C₅×D₄	C₂²	1	1	yes	characteristic
14	C₂⁴×C₄×C₅	—	2	1	no	—
15	C₂⁴×C₄×C₅	C₂²	1	1	yes	characteristic
16	C₂²×C₅×SD₁₆	—	2	16	no	—
17	C₂²×C₅×SD₁₆	C₂²	1	24	yes	complemented
18	C₂³×C₅×C₈	C₂²	1	2	yes	—
19	C₂×C₅×#121	—	2	6	no	—
20	C₂×C₅×#121	C₂²	1	12	yes	—
21	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
22	C₂²×C₅×C₂²⋊C₄	—	2	1	no	—
23	C₅×#448	C₂²	1	64	yes	direct product factor
24	C₂×C₅×#103	C₂²	1	24	yes	complemented
25	C₂×C₅×C₂²⋊C₈	C₂²	1	12	yes	complemented
26	C₂²×#448	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
27	C₂⁵×C₅	—	2	1	no	—
28	C₂⁵×C₅	D₄	1	1	yes	characteristic
29	C₂²×C₅×Q₈	—	2	96	no	—
30	C₂²×C₅×Q₈	—	2	16	no	—
31	C₂²×C₅×Q₈	—	2	96	no	—
32	C₂²×C₅×Q₈	—	2	8	no	—
33	C₂²×C₅×Q₈	—	2	6	no	—
34	C₂²×C₅×Q₈	—	2	12	no	—
35	C₂²×C₅×Q₈	—	2	24	no	—
36	C₂²×C₅×Q₈	D₄	1	16	yes	complemented
37	C₂²×C₅×Q₈	C₂³	1	12	yes	—
38	C₂²×C₅×Q₈	C₂³	1	16	yes	complemented
39	C₂²×C₅×D₄	—	2	12	no	—
40	C₂²×C₅×D₄	—	2	8	no	—
41	C₂²×C₅×D₄	—	2	3	no	—
42	C₂²×C₅×D₄	—	4	8	no	—
43	C₂²×C₅×D₄	C₂³	1	6	yes	—
44	C₂³×C₄×C₅	—	2	16	no	—
45	C₂³×C₄×C₅	—	2	12	no	—
46	C₂³×C₄×C₅	—	2	2	no	—
47	C₂³×C₄×C₅	—	2	8	no	—
48	C₂³×C₄×C₅	—	2	1	no	—
49	C₂³×C₄×C₅	D₄	1	6	yes	—
50	C₂³×C₄×C₅	D₄	1	1	yes	characteristic
51	C₂³×C₄×C₅	C₂³	1	6	yes	—
52	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
53	C₂×C₅×SD₁₆	—	2	96	no	—
54	C₂×C₅×SD₁₆	C₂³	1	32	yes	complemented
55	C₂²×C₅×C₈	—	2	8	no	—
56	C₂²×C₅×C₈	C₂³	1	12	yes	—
57	C₅×#121	—	2	24	no	—
58	C₅×#121	C₂³	1	16	yes	—
59	C₂×C₅×C₄⋊C₄	—	2	3	no	—
60	C₂×C₅×C₄⋊C₄	C₂³	1	6	yes	—
61	C₂×C₅×C₂²⋊C₄	—	2	12	no	—
62	C₅×#103	C₂³	1	32	yes	complemented
63	C₅×C₂²⋊C₈	C₂³	1	16	yes	complemented
64	C₂⁴×Q₈	C₂×C₅	1	1	yes	characteristic, complemented
65	C₂³×SD₁₆	C₂×C₅	1	2	yes	complemented
66	C₂²×#121	C₂×C₅	1	1	yes	characteristic
67	C₂×#448	C₂×C₅	1	24	yes	direct product factor
68	C₂²×#103	C₂×C₅	1	2	yes	complemented
69	C₂²×C₂²⋊C₈	C₂×C₅	1	1	yes	characteristic, complemented
70	C₂⁴×C₅	—	2	4	no	—
71	C₂⁴×C₅	—	2	4	no	—
72	C₂⁴×C₅	—	2	6	no	—
73	C₂⁴×C₅	—	4	4	no	—
74	C₂⁴×C₅	—	4	4	no	—
75	C₂⁴×C₅	—	4	4	no	—
76	C₂⁴×C₅	SD₁₆	1	8	yes	complemented
77	C₂⁴×C₅	C₂×D₄	1	6	yes	—
78	C₂⁴×C₅	C₂×D₄	1	1	yes	characteristic
79	C₂×C₅×Q₈	—	2	192	no	—
80	C₂×C₅×Q₈	—	2	96	no	—
81	C₂×C₅×Q₈	—	2	64	no	—
82	C₂×C₅×Q₈	—	2	48	no	—
83	C₂×C₅×Q₈	—	2	24	no	—
84	C₂×C₅×Q₈	—	2	12	no	—
85	C₂×C₅×Q₈	—	2	16	no	—
86	C₂×C₅×Q₈	C₂×D₄	1	48	yes	complemented
87	C₂×C₅×Q₈	C₂⁴	1	8	yes	—
88	C₂×C₅×D₄	—	2	16	no	—
89	C₂×C₅×D₄	—	2	24	no	—
90	C₂×C₅×D₄	—	2	6	no	—
91	C₂×C₅×D₄	—	4	48	no	—
92	C₂×C₅×D₄	—	4	12	no	—
93	C₂×C₅×D₄	C₂⁴	1	4	yes	—
94	C₂²×C₄×C₅	—	2	96	no	—
95	C₂²×C₄×C₅	—	2	16	no	—
96	C₂²×C₄×C₅	—	2	4	no	—
97	C₂²×C₄×C₅	—	2	12	no	—
98	C₂²×C₄×C₅	—	2	16	no	—
99	C₂²×C₄×C₅	—	2	24	no	—
100	C₂²×C₄×C₅	—	2	24	no	—
101	C₂²×C₄×C₅	—	2	6	no	—
102	C₂²×C₄×C₅	—	4	4	no	—
103	C₂²×C₄×C₅	C₂×D₄	1	6	yes	—
104	C₂²×C₄×C₅	C₂×D₄	1	12	yes	—
105	C₂²×C₄×C₅	C₂×D₄	1	3	yes	—
106	C₂²×C₄×C₅	C₂×D₄	1	8	yes	—
107	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
108	C₂²×C₄×C₅	C₂⁴	1	3	yes	—
109	C₅×SD₁₆	—	2	64	no	—
110	C₂×C₅×C₈	—	2	24	no	—
111	C₂×C₅×C₈	C₂⁴	1	8	yes	—
112	C₅×C₄⋊C₄	—	2	6	no	—
113	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
114	C₅×C₂²⋊C₄	—	2	16	no	—
115	C₂³×Q₈	—	2	16	no	—
116	C₂³×Q₈	—	2	1	no	—
117	C₂³×Q₈	—	2	6	no	—
118	C₂³×Q₈	C₂²×C₅	1	2	yes	—
119	C₂³×Q₈	C₂²×C₅	1	12	yes	complemented
120	C₂³×D₄	—	2	1	no	—
121	C₂³×D₄	C₂²×C₅	1	1	yes	characteristic
122	C₂⁴×C₄	—	2	1	no	—
123	C₂⁴×C₄	C₂²×C₅	1	1	yes	characteristic
124	C₂²×SD₁₆	—	2	16	no	—
125	C₂²×SD₁₆	C₂²×C₅	1	24	yes	complemented
126	C₂³×C₈	C₂²×C₅	1	2	yes	—
127	C₂×#121	—	2	6	no	—
128	C₂×#121	C₂²×C₅	1	12	yes	—
129	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
130	C₂²×C₂²⋊C₄	—	2	1	no	—
131	#448	C₂²×C₅	1	64	yes	direct product factor
132	C₂×#103	C₂²×C₅	1	24	yes	complemented
133	C₂×C₂²⋊C₈	C₂²×C₅	1	12	yes	complemented
134	C₂³×C₅	—	2	12	no	—
135	C₂³×C₅	—	2	12	no	—
136	C₂³×C₅	—	2	32	no	—
137	C₂³×C₅	—	2	4	no	—
138	C₂³×C₅	—	4	12	no	—
139	C₂³×C₅	—	4	12	no	—
140	C₂³×C₅	—	4	12	no	—
141	C₂³×C₅	—	8	16	no	—
142	C₂³×C₅	#120	1	4	yes	—
143	C₂³×C₅	C₂×SD₁₆	1	4	yes	—
144	C₂³×C₅	C₂×SD₁₆	1	24	yes	complemented
145	C₂³×C₅	#137	1	4	yes	—
146	C₂³×C₅	C₂²×D₄	1	4	yes	—
147	C₂³×C₅	C₂²×D₄	1	3	yes	—
148	C₅×Q₈	—	2	64	no	—
149	C₅×Q₈	—	2	48	no	—
150	C₅×Q₈	—	2	8	no	—
151	C₅×Q₈	C₂²×D₄	1	16	yes	complemented
152	C₅×D₄	—	2	8	no	—
153	C₅×D₄	—	4	32	no	—
154	C₅×D₄	—	4	12	no	—
155	C₂×C₄×C₅	—	2	64	no	—
156	C₂×C₄×C₅	—	2	48	no	—
157	C₂×C₄×C₅	—	2	12	no	—
158	C₂×C₄×C₅	—	2	8	no	—
159	C₂×C₄×C₅	—	2	24	no	—
160	C₂×C₄×C₅	—	2	8	no	—
161	C₂×C₄×C₅	—	2	4	no	—
162	C₂×C₄×C₅	—	4	12	no	—
163	C₂×C₄×C₅	#120	1	12	yes	—
164	C₂×C₄×C₅	C₂²×D₄	1	4	yes	—
165	C₂×C₄×C₅	C₂²×D₄	1	3	yes	—
166	C₂×C₄×C₅	C₂²×D₄	1	12	yes	—
167	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
168	C₅×C₈	—	2	8	no	—
169	C₂⁵	—	2	1	no	—
170	C₂⁵	C₅×D₄	1	1	yes	characteristic
171	C₂²×Q₈	—	2	96	no	—
172	C₂²×Q₈	—	2	16	no	—
173	C₂²×Q₈	—	2	96	no	—
174	C₂²×Q₈	—	2	8	no	—
175	C₂²×Q₈	—	2	6	no	—
176	C₂²×Q₈	—	2	12	no	—
177	C₂²×Q₈	—	2	24	no	—
178	C₂²×Q₈	C₅×D₄	1	16	yes	complemented
179	C₂²×Q₈	C₂³×C₅	1	12	yes	—
180	C₂²×Q₈	C₂³×C₅	1	16	yes	complemented
181	C₂²×D₄	—	2	12	no	—
182	C₂²×D₄	—	2	8	no	—
183	C₂²×D₄	—	2	3	no	—
184	C₂²×D₄	—	4	8	no	—
185	C₂²×D₄	C₂³×C₅	1	6	yes	—
186	C₂³×C₄	—	2	16	no	—
187	C₂³×C₄	—	2	2	no	—
188	C₂³×C₄	—	2	12	no	—
189	C₂³×C₄	—	2	8	no	—
190	C₂³×C₄	—	2	1	no	—
191	C₂³×C₄	C₅×D₄	1	1	yes	characteristic
192	C₂³×C₄	C₅×D₄	1	6	yes	—
193	C₂³×C₄	C₂³×C₅	1	6	yes	—
194	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
195	C₂×SD₁₆	—	2	96	no	—
196	C₂×SD₁₆	C₂³×C₅	1	32	yes	complemented
197	C₂²×C₈	—	2	8	no	—
198	C₂²×C₈	C₂³×C₅	1	12	yes	—
199	#121	—	2	24	no	—
200	#121	C₂³×C₅	1	16	yes	—
201	C₂×C₄⋊C₄	—	2	3	no	—
202	C₂×C₄⋊C₄	C₂³×C₅	1	6	yes	—
203	C₂×C₂²⋊C₄	—	2	12	no	—
204	#103	C₂³×C₅	1	32	yes	complemented
205	C₂²⋊C₈	C₂³×C₅	1	16	yes	complemented
206	C₂²×C₅	—	2	4	no	—
207	C₂²×C₅	—	2	48	no	—
208	C₂²×C₅	—	2	4	no	—
209	C₂²×C₅	—	4	4	no	—
210	C₂²×C₅	—	4	4	no	—
211	C₂²×C₅	—	4	4	no	—
212	C₂²×C₅	—	8	24	no	—
213	C₂²×C₅	#448	1	16	yes	direct product factor
214	C₂²×C₅	C₂×#120	1	6	yes	—
215	C₂²×C₅	C₂²×SD₁₆	1	6	yes	—
216	C₂²×C₅	C₂²×SD₁₆	1	8	yes	complemented
217	C₂²×C₅	C₂×#137	1	6	yes	—
218	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
219	C₄×C₅	—	2	16	no	—
220	C₄×C₅	—	2	4	no	—
221	C₄×C₅	—	4	4	no	—
222	C₄×C₅	C₂×#120	1	6	yes	—
223	C₄×C₅	C₂³×D₄	1	2	yes	—
224	C₂⁴	—	2	4	no	—
225	C₂⁴	—	2	4	no	—
226	C₂⁴	—	2	6	no	—
227	C₂⁴	—	4	4	no	—
228	C₂⁴	—	4	4	no	—
229	C₂⁴	—	4	4	no	—
230	C₂⁴	C₅×SD₁₆	1	8	yes	complemented
231	C₂⁴	C₂×C₅×D₄	1	6	yes	—
232	C₂⁴	C₂×C₅×D₄	1	1	yes	characteristic
233	C₂×Q₈	—	2	192	no	—
234	C₂×Q₈	—	2	96	no	—
235	C₂×Q₈	—	2	64	no	—
236	C₂×Q₈	—	2	48	no	—
237	C₂×Q₈	—	2	24	no	—
238	C₂×Q₈	—	2	12	no	—
239	C₂×Q₈	—	2	16	no	—
240	C₂×Q₈	C₂×C₅×D₄	1	48	yes	complemented
241	C₂×Q₈	C₂⁴×C₅	1	8	yes	—
242	C₂×D₄	—	2	16	no	—
243	C₂×D₄	—	2	24	no	—
244	C₂×D₄	—	2	6	no	—
245	C₂×D₄	—	4	48	no	—
246	C₂×D₄	—	4	12	no	—
247	C₂×D₄	C₂⁴×C₅	1	4	yes	—
248	C₂²×C₄	—	2	96	no	—
249	C₂²×C₄	—	2	16	no	—
250	C₂²×C₄	—	2	4	no	—
251	C₂²×C₄	—	2	12	no	—
252	C₂²×C₄	—	2	16	no	—
253	C₂²×C₄	—	2	24	no	—
254	C₂²×C₄	—	2	24	no	—
255	C₂²×C₄	—	2	6	no	—
256	C₂²×C₄	—	4	4	no	—
257	C₂²×C₄	C₂×C₅×D₄	1	6	yes	—
258	C₂²×C₄	C₂×C₅×D₄	1	12	yes	—
259	C₂²×C₄	C₂×C₅×D₄	1	3	yes	—
260	C₂²×C₄	C₂×C₅×D₄	1	8	yes	—
261	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
262	C₂²×C₄	C₂⁴×C₅	1	3	yes	—
263	SD₁₆	—	2	64	no	—
264	C₂×C₈	—	2	24	no	—
265	C₂×C₈	C₂⁴×C₅	1	8	yes	—
266	C₄⋊C₄	—	2	6	no	—
267	C₄⋊C₄	C₂⁴×C₅	1	4	yes	—
268	C₂²⋊C₄	—	2	16	no	—
269	C₂×C₅	—	2	8	no	—
270	C₂×C₅	—	8	4	no	—
271	C₂×C₅	C₂×#448	1	12	yes	direct product factor
272	C₂×C₅	C₂²×#120	1	1	yes	characteristic
273	C₂×C₅	C₂³×SD₁₆	1	1	yes	characteristic
274	C₂×C₅	C₂²×#137	1	1	yes	characteristic
275	C₂³	—	2	32	no	—
276	C₂³	—	2	12	no	—
277	C₂³	—	2	12	no	—
278	C₂³	—	2	4	no	—
279	C₂³	—	4	12	no	—
280	C₂³	—	4	12	no	—
281	C₂³	—	4	12	no	—
282	C₂³	—	8	16	no	—
283	C₂³	C₅×#120	1	4	yes	—
284	C₂³	C₂×C₅×SD₁₆	1	4	yes	—
285	C₂³	C₂×C₅×SD₁₆	1	24	yes	complemented
286	C₂³	C₅×#137	1	4	yes	—
287	C₂³	C₂²×C₅×D₄	1	4	yes	—
288	C₂³	C₂²×C₅×D₄	1	3	yes	—
289	Q₈	—	2	64	no	—
290	Q₈	—	2	48	no	—
291	Q₈	—	2	8	no	—
292	Q₈	C₂²×C₅×D₄	1	16	yes	complemented
293	D₄	—	2	8	no	—
294	D₄	—	4	32	no	—
295	D₄	—	4	12	no	—
296	C₂×C₄	—	2	64	no	—
297	C₂×C₄	—	2	48	no	—
298	C₂×C₄	—	2	12	no	—
299	C₂×C₄	—	2	8	no	—
300	C₂×C₄	—	2	24	no	—
301	C₂×C₄	—	2	8	no	—
302	C₂×C₄	—	2	4	no	—
303	C₂×C₄	—	4	12	no	—
304	C₂×C₄	C₅×#120	1	12	yes	—
305	C₂×C₄	C₂²×C₅×D₄	1	4	yes	—
306	C₂×C₄	C₂²×C₅×D₄	1	3	yes	—
307	C₂×C₄	C₂²×C₅×D₄	1	12	yes	—
308	C₂×C₄	C₂⁵×C₅	1	1	yes	characteristic
309	C₈	—	2	8	no	—
310	C₅	C₂²×#448	1	1	yes	characteristic, direct product factor, Sylow
311	C₂²	—	2	48	no	—
312	C₂²	—	2	4	no	—
313	C₂²	—	2	4	no	—
314	C₂²	—	4	4	no	—
315	C₂²	—	4	4	no	—
316	C₂²	—	4	4	no	—
317	C₂²	—	8	24	no	—
318	C₂²	C₅×#448	1	16	yes	direct product factor
319	C₂²	C₂×C₅×#120	1	6	yes	—
320	C₂²	C₂²×C₅×SD₁₆	1	6	yes	—
321	C₂²	C₂²×C₅×SD₁₆	1	8	yes	complemented
322	C₂²	C₂×C₅×#137	1	6	yes	—
323	C₂²	C₂³×C₅×D₄	1	1	yes	characteristic
324	C₄	—	2	16	no	—
325	C₄	—	2	4	no	—
326	C₄	—	4	4	no	—
327	C₄	C₂×C₅×#120	1	6	yes	—
328	C₄	C₂³×C₅×D₄	1	2	yes	—
329	C₂	—	2	8	no	—
330	C₂	—	8	4	no	—
331	C₂	C₂×C₅×#448	1	12	yes	direct product factor
332	C₂	C₂²×C₅×#120	1	1	yes	characteristic
333	C₂	C₂³×C₅×SD₁₆	1	1	yes	characteristic
334	C₂	C₂²×C₅×#137	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴×C₅	C₂×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₅
prime radical	C₂²×C₅×#121	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₅ ◁ C₂⁴×C₄×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂⁴×C₅×Q₈	C₂	semidirect
2. C₂³×C₅×SD₁₆	C₂	semidirect
4. C₂×C₅×#448	C₂	direct (N × H)
5. C₂²×C₅×#103	C₂	semidirect
6. C₂²×C₅×C₂²⋊C₈	C₂	semidirect
11. C₂³×C₅×Q₈	C₂²	semidirect
17. C₂²×C₅×SD₁₆	C₂²	semidirect
23. C₅×#448	C₂²	direct (N × H)
24. C₂×C₅×#103	C₂²	semidirect
25. C₂×C₅×C₂²⋊C₈	C₂²	semidirect
26. C₂²×#448	C₅	direct (N × H)
36. C₂²×C₅×Q₈	D₄	semidirect
38. C₂²×C₅×Q₈	C₂³	semidirect
54. C₂×C₅×SD₁₆	C₂³	semidirect
62. C₅×#103	C₂³	semidirect
63. C₅×C₂²⋊C₈	C₂³	semidirect
64. C₂⁴×Q₈	C₂×C₅	semidirect
65. C₂³×SD₁₆	C₂×C₅	semidirect
67. C₂×#448	C₂×C₅	direct (N × H)
68. C₂²×#103	C₂×C₅	semidirect
69. C₂²×C₂²⋊C₈	C₂×C₅	semidirect
76. C₂⁴×C₅	SD₁₆	semidirect
86. C₂×C₅×Q₈	C₂×D₄	semidirect
119. C₂³×Q₈	C₂²×C₅	semidirect
125. C₂²×SD₁₆	C₂²×C₅	semidirect
131. #448	C₂²×C₅	direct (N × H)
132. C₂×#103	C₂²×C₅	semidirect
133. C₂×C₂²⋊C₈	C₂²×C₅	semidirect
144. C₂³×C₅	C₂×SD₁₆	semidirect
151. C₅×Q₈	C₂²×D₄	semidirect
178. C₂²×Q₈	C₅×D₄	semidirect
180. C₂²×Q₈	C₂³×C₅	semidirect
196. C₂×SD₁₆	C₂³×C₅	semidirect
204. #103	C₂³×C₅	semidirect
205. C₂²⋊C₈	C₂³×C₅	semidirect
213. C₂²×C₅	#448	direct (N × H)
216. C₂²×C₅	C₂²×SD₁₆	semidirect
230. C₂⁴	C₅×SD₁₆	semidirect
240. C₂×Q₈	C₂×C₅×D₄	semidirect
271. C₂×C₅	C₂×#448	direct (N × H)
285. C₂³	C₂×C₅×SD₁₆	semidirect
292. Q₈	C₂²×C₅×D₄	semidirect
310. C₅	C₂²×#448	direct (N × H)
318. C₂²	C₅×#448	direct (N × H)
321. C₂²	C₂²×C₅×SD₁₆	semidirect
331. C₂	C₂×C₅×#448	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂⁴×C₅×Q₈	2
C₂³×C₅×SD₁₆	2
C₂²×C₅×#121	2
C₂×C₅×#448	2
C₂²×C₅×#103	2
C₂²×C₅×C₂²⋊C₈	2
C₂²×#448	5

Subgroups — C22×C5×#448 #11983069

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×C₅×#448 #11983069