Subgroups — C₂²×#14582947 #25960289

Order 11008.

2718 conjugacy classes of subgroups.

The subgroup lattice has 324 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×#10621877	C₂	1	1	yes	maximal, characteristic
2	C₂³×#10621877	C₂	1	1	yes	maximal, characteristic
3	C₂×#14582947	C₂	1	24	yes	maximal, direct product factor
4	C₂²×#13063260	C₂	1	4	yes	maximal, complemented
5	C₂³×M₁₆×C₄₃	C₂	1	1	yes	maximal, characteristic
6	C₂²×#10621877	—	2	1	no	—
7	C₂²×#10621877	—	2	6	no	—
8	C₂²×#10621877	C₄	1	2	yes	—
9	C₂²×#10621877	C₄	1	2	yes	—
10	C₂²×#10621877	C₄	1	12	yes	—
11	C₂²×#10621877	C₂²	1	2	yes	—
12	C₂²×#10621877	C₂²	1	12	yes	—
13	C₂²×#10621877	C₂²	1	12	yes	—
14	C₂³×C₄₃⋊C₈	—	2	1	no	—
15	C₂³×C₄₃⋊C₈	C₂²	1	2	yes	—
16	#14582947	C₂²	1	64	yes	direct product factor
17	C₂×#13063260	C₂²	1	48	yes	complemented
18	C₂⁴×C₄×C₄₃	C₂²	1	1	yes	characteristic
19	C₂²×M₁₆×C₄₃	—	2	1	no	—
20	C₂²×M₁₆×C₄₃	—	2	6	no	—
21	C₂²×M₁₆×C₄₃	C₂²	1	2	yes	—
22	C₂²×M₁₆×C₄₃	C₂²	1	12	yes	—
23	C₂³×C₈×C₄₃	—	2	1	no	—
24	C₂×#10621877	—	2	12	no	—
25	C₂×#10621877	—	2	6	no	—
26	C₂×#10621877	—	2	24	no	—
27	C₂×#10621877	C₂×C₄	1	24	yes	—
28	C₂×#10621877	C₂×C₄	1	24	yes	—
29	C₂×#10621877	C₂×C₄	1	48	yes	—
30	C₂×#10621877	C₂³	1	12	yes	—
31	C₂×#10621877	C₂³	1	16	yes	—
32	C₂×#10621877	C₂³	1	16	yes	—
33	C₂²×C₄₃⋊C₈	—	2	12	no	—
34	C₂²×C₄₃⋊C₈	—	2	2	no	—
35	C₂²×C₄₃⋊C₈	C₂×C₄	1	12	yes	—
36	C₂²×C₄₃⋊C₈	C₂×C₄	1	4	yes	—
37	C₂²×C₄₃⋊C₈	C₂³	1	12	yes	—
38	#13063260	C₂³	1	64	yes	complemented
39	C₂⁵×C₄₃	Q₈	1	1	yes	characteristic
40	C₂³×C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
41	C₂³×C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
42	C₂³×C₄×C₄₃	C₂×C₄	1	6	yes	—
43	C₂³×C₄×C₄₃	D₄	1	1	yes	characteristic
44	C₂³×C₄×C₄₃	D₄	1	1	yes	characteristic
45	C₂³×C₄×C₄₃	D₄	1	6	yes	—
46	C₂³×C₄×C₄₃	Q₈	1	1	yes	characteristic
47	C₂³×C₄×C₄₃	Q₈	1	6	yes	—
48	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
49	C₂³×C₄×C₄₃	C₂³	1	6	yes	—
50	C₂×M₁₆×C₄₃	—	2	12	no	—
51	C₂×M₁₆×C₄₃	—	2	6	no	—
52	C₂×M₁₆×C₄₃	—	2	24	no	—
53	C₂×M₁₆×C₄₃	C₂³	1	12	yes	—
54	C₂×M₁₆×C₄₃	C₂³	1	16	yes	—
55	C₂²×C₈×C₄₃	—	2	12	no	—
56	C₂²×C₈×C₄₃	—	2	2	no	—
57	C₂⁴×C₄₃	—	4	4	no	—
58	C₂⁴×C₄₃	C₄⋊C₄	1	1	yes	characteristic
59	C₂⁴×C₄₃	C₄⋊C₄	1	1	yes	characteristic
60	C₂⁴×C₄₃	C₄⋊C₄	1	6	yes	—
61	C₂⁴×C₄₃	C₂×Q₈	1	1	yes	characteristic
62	C₂⁴×C₄₃	C₂×Q₈	1	6	yes	—
63	C₂²×C₄×C₄₃	C₄⋊C₄	1	6	yes	—
64	C₂²×C₄×C₄₃	C₄⋊C₄	1	6	yes	—
65	C₂²×C₄×C₄₃	C₄⋊C₄	1	6	yes	—
66	C₂²×C₄×C₄₃	C₄⋊C₄	1	6	yes	—
67	C₂²×C₄×C₄₃	C₄⋊C₄	1	6	yes	—
68	C₂²×C₄×C₄₃	C₄⋊C₄	1	24	yes	—
69	C₂²×C₄×C₄₃	C₄⋊C₄	1	1	yes	characteristic
70	C₂²×C₄×C₄₃	C₄⋊C₄	1	1	yes	characteristic
71	C₂²×C₄×C₄₃	C₂²×C₄	1	3	yes	—
72	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
73	C₂²×C₄×C₄₃	C₂²×C₄	1	6	yes	—
74	C₂²×C₄×C₄₃	C₂²×C₄	1	6	yes	—
75	C₂²×C₄×C₄₃	C₂²×C₄	1	12	yes	—
76	C₂²×C₄×C₄₃	C₂×D₄	1	6	yes	—
77	C₂²×C₄×C₄₃	C₂×D₄	1	6	yes	—
78	C₂²×C₄×C₄₃	C₂×D₄	1	3	yes	—
79	C₂²×C₄×C₄₃	C₂×D₄	1	12	yes	—
80	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
81	C₂²×C₄×C₄₃	C₂×Q₈	1	3	yes	—
82	C₂²×C₄×C₄₃	C₂×Q₈	1	6	yes	—
83	C₂²×C₄×C₄₃	C₂×Q₈	1	12	yes	—
84	C₂²×C₄×C₄₃	C₂⁴	1	3	yes	—
85	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
86	M₁₆×C₄₃	—	2	16	no	—
87	M₁₆×C₄₃	—	2	12	no	—
88	M₁₆×C₄₃	C₂⁴	1	8	yes	—
89	C₂×C₈×C₄₃	—	2	12	no	—
90	C₂×C₈×C₄₃	—	2	16	no	—
91	#10621877	—	2	16	no	—
92	#10621877	—	2	12	no	—
93	#10621877	C₂²×C₄	1	32	yes	—
94	#10621877	C₂²×C₄	1	32	yes	—
95	#10621877	C₂⁴	1	8	yes	—
96	C₂×C₄₃⋊C₈	—	2	12	no	—
97	C₂×C₄₃⋊C₈	—	2	16	no	—
98	C₂×C₄₃⋊C₈	C₂²×C₄	1	24	yes	—
99	C₂×C₄₃⋊C₈	C₂²×C₄	1	24	yes	—
100	C₂×C₄₃⋊C₈	C₂⁴	1	8	yes	—
101	C₂³×C₄₃	—	2	4	no	—
102	C₂³×C₄₃	—	2	4	no	—
103	C₂³×C₄₃	—	2	4	no	—
104	C₂³×C₄₃	—	4	12	no	—
105	C₂³×C₄₃	—	4	12	no	—
106	C₂³×C₄₃	C₂×C₄⋊C₄	1	3	yes	—
107	C₂³×C₄₃	C₂×C₄⋊C₄	1	6	yes	—
108	C₂³×C₄₃	C₂×C₄⋊C₄	1	6	yes	—
109	C₂³×C₄₃	C₂×C₄⋊C₄	1	12	yes	—
110	C₂³×C₄₃	C₂×C₄⋊C₄	1	1	yes	characteristic
111	C₂³×C₄₃	C₂²×Q₈	1	3	yes	—
112	C₂³×C₄₃	C₂²×Q₈	1	4	yes	—
113	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	6	yes	—
114	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	12	yes	—
115	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	12	yes	—
116	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	12	yes	—
117	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	12	yes	—
118	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	12	yes	—
119	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	3	yes	—
120	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	6	yes	—
121	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	6	yes	—
122	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	3	yes	—
123	C₂×C₄×C₄₃	C₂³×C₄	1	3	yes	—
124	C₂×C₄×C₄₃	C₂³×C₄	1	3	yes	—
125	C₂×C₄×C₄₃	C₂³×C₄	1	4	yes	—
126	C₂×C₄×C₄₃	C₂³×C₄	1	4	yes	—
127	C₂×C₄×C₄₃	C₂²×D₄	1	3	yes	—
128	C₂×C₄×C₄₃	C₂²×D₄	1	4	yes	—
129	C₂×C₄×C₄₃	C₂²×D₄	1	4	yes	—
130	C₂×C₄×C₄₃	C₂²×D₄	1	3	yes	—
131	C₂×C₄×C₄₃	C₂²×Q₈	1	3	yes	—
132	C₂×C₄×C₄₃	C₂²×Q₈	1	4	yes	—
133	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
134	C₈×C₄₃	—	2	8	no	—
135	C₄₃⋊C₈	—	2	8	no	—
136	C₄₃⋊C₈	C₂³×C₄	1	16	yes	—
137	C₂²×#430	—	43	1	no	maximal, Sylow
138	C₂²×C₄₃	—	2	12	no	—
139	C₂²×C₄₃	—	2	12	no	—
140	C₂²×C₄₃	—	2	6	no	—
141	C₂²×C₄₃	—	2	6	no	—
142	C₂²×C₄₃	—	4	12	no	—
143	C₂²×C₄₃	—	4	4	no	—
144	C₂²×C₄₃	#430	1	4	yes	complemented
145	C₂²×C₄₃	C₂²×C₄⋊C₄	1	4	yes	—
146	C₂²×C₄₃	C₂²×C₄⋊C₄	1	4	yes	—
147	C₂²×C₄₃	C₂²×C₄⋊C₄	1	3	yes	—
148	C₂²×C₄₃	C₂²×C₄⋊C₄	1	3	yes	—
149	C₂²×C₄₃	C₂³×Q₈	1	1	yes	characteristic
150	C₄×C₄₃	C₂²×C₄⋊C₄	1	3	yes	—
151	C₄×C₄₃	C₂²×C₄⋊C₄	1	3	yes	—
152	C₄×C₄₃	C₂²×C₄⋊C₄	1	4	yes	—
153	C₄×C₄₃	C₂²×C₄⋊C₄	1	4	yes	—
154	C₄×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
155	C₄×C₄₃	C₂³×D₄	1	1	yes	characteristic
156	C₂³×M₁₆	—	43	1	no	—
157	C₂³×M₁₆	—	43	1	no	—
158	C₂³×M₁₆	D₄₃	1	1	yes	characteristic
159	C₂×#430	—	43	24	no	—
160	C₂²×#108	—	43	4	no	—
161	C₂×C₄₃	—	2	4	no	—
162	C₂×C₄₃	—	2	4	no	—
163	C₂×C₄₃	—	2	3	no	—
164	C₂×C₄₃	—	2	1	no	—
165	C₂×C₄₃	C₂×#430	1	6	yes	complemented
166	C₂×C₄₃	C₂³×C₄⋊C₄	1	1	yes	characteristic
167	C₂⁴×C₄	C₂×D₄₃	1	1	yes	characteristic
168	C₂²×M₁₆	—	2	6	no	—
169	C₂²×M₁₆	—	2	1	no	—
170	C₂²×M₁₆	—	43	12	no	—
171	C₂²×M₁₆	—	43	2	no	—
172	C₂²×M₁₆	—	43	2	no	—
173	C₂²×M₁₆	—	43	12	no	—
174	C₂²×M₁₆	—	43	2	no	—
175	C₂²×M₁₆	—	43	12	no	—
176	C₂²×M₁₆	—	86	6	no	—
177	C₂²×M₁₆	—	86	1	no	—
178	C₂²×M₁₆	C₂×D₄₃	1	2	yes	—
179	C₂²×M₁₆	C₂×D₄₃	1	12	yes	—
180	C₂³×C₈	—	2	1	no	—
181	C₂³×C₈	—	43	2	no	—
182	C₂³×C₈	—	86	1	no	—
183	#430	—	43	64	no	—
184	C₂×#108	—	43	48	no	—
185	C₄₃	C₂²×#430	1	1	yes	characteristic, complemented, Sylow
186	C₂⁵	Dic₈₆	1	1	yes	characteristic
187	C₂³×C₄	Dic₈₆	1	1	yes	characteristic
188	C₂³×C₄	Dic₈₆	1	6	yes	—
189	C₂³×C₄	C₄×D₄₃	1	1	yes	characteristic
190	C₂³×C₄	C₄×D₄₃	1	1	yes	characteristic
191	C₂³×C₄	C₄×D₄₃	1	6	yes	—
192	C₂³×C₄	C₂²⋊D₄₃	1	6	yes	—
193	C₂³×C₄	C₂²⋊D₄₃	1	1	yes	characteristic
194	C₂³×C₄	C₂²⋊D₄₃	1	1	yes	characteristic
195	C₂³×C₄	C₂²×D₄₃	1	6	yes	—
196	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
197	C₂×M₁₆	—	2	12	no	—
198	C₂×M₁₆	—	2	6	no	—
199	C₂×M₁₆	—	2	24	no	—
200	C₂×M₁₆	—	43	24	no	—
201	C₂×M₁₆	—	43	24	no	—
202	C₂×M₁₆	—	43	48	no	—
203	C₂×M₁₆	—	43	16	no	—
204	C₂×M₁₆	—	43	12	no	—
205	C₂×M₁₆	—	43	16	no	—
206	C₂×M₁₆	—	86	12	no	—
207	C₂×M₁₆	—	86	6	no	—
208	C₂×M₁₆	—	86	24	no	—
209	C₂×M₁₆	C₂²×D₄₃	1	12	yes	—
210	C₂×M₁₆	C₂²×D₄₃	1	16	yes	—
211	C₂²×C₈	—	2	12	no	—
212	C₂²×C₈	—	2	2	no	—
213	C₂²×C₈	—	43	4	no	—
214	C₂²×C₈	—	43	12	no	—
215	C₂²×C₈	—	43	12	no	—
216	C₂²×C₈	—	86	12	no	—
217	C₂²×C₈	—	86	2	no	—
218	#108	—	43	64	no	—
219	C₂⁴	—	4	4	no	—
220	C₂⁴	Dic₄₃⋊C₄	1	1	yes	characteristic
221	C₂⁴	Dic₄₃⋊C₄	1	1	yes	characteristic
222	C₂⁴	Dic₄₃⋊C₄	1	6	yes	—
223	C₂⁴	C₂×Dic₈₆	1	1	yes	characteristic
224	C₂⁴	C₂×Dic₈₆	1	6	yes	—
225	C₂²×C₄	Dic₄₃⋊C₄	1	6	yes	—
226	C₂²×C₄	Dic₄₃⋊C₄	1	6	yes	—
227	C₂²×C₄	Dic₄₃⋊C₄	1	6	yes	—
228	C₂²×C₄	Dic₄₃⋊C₄	1	24	yes	—
229	C₂²×C₄	Dic₄₃⋊C₄	1	1	yes	characteristic
230	C₂²×C₄	Dic₄₃⋊C₄	1	1	yes	characteristic
231	C₂²×C₄	Dic₄₃⋊C₄	1	6	yes	—
232	C₂²×C₄	Dic₄₃⋊C₄	1	6	yes	—
233	C₂²×C₄	C₂×Dic₈₆	1	6	yes	—
234	C₂²×C₄	C₂×Dic₈₆	1	12	yes	—
235	C₂²×C₄	C₂×Dic₈₆	1	3	yes	—
236	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
237	C₂²×C₄	C₂×C₄×D₄₃	1	3	yes	—
238	C₂²×C₄	C₂×C₄×D₄₃	1	6	yes	—
239	C₂²×C₄	C₂×C₄×D₄₃	1	6	yes	—
240	C₂²×C₄	C₂×C₄×D₄₃	1	12	yes	—
241	C₂²×C₄	C₂×C₂²⋊D₄₃	1	6	yes	—
242	C₂²×C₄	C₂×C₂²⋊D₄₃	1	6	yes	—
243	C₂²×C₄	C₂×C₂²⋊D₄₃	1	3	yes	—
244	C₂²×C₄	C₂×C₂²⋊D₄₃	1	12	yes	—
245	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
246	C₂²×C₄	C₂³×D₄₃	1	3	yes	—
247	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
248	M₁₆	—	2	16	no	—
249	M₁₆	—	2	12	no	—
250	M₁₆	—	43	32	no	—
251	M₁₆	—	43	32	no	—
252	M₁₆	—	43	8	no	—
253	M₁₆	—	86	16	no	—
254	M₁₆	—	86	12	no	—
255	M₁₆	C₂³×D₄₃	1	8	yes	—
256	C₂×C₈	—	2	12	no	—
257	C₂×C₈	—	2	16	no	—
258	C₂×C₈	—	43	24	no	—
259	C₂×C₈	—	43	24	no	—
260	C₂×C₈	—	43	8	no	—
261	C₂×C₈	—	86	12	no	—
262	C₂×C₈	—	86	16	no	—
263	C₂³	—	2	4	no	—
264	C₂³	—	2	4	no	—
265	C₂³	—	2	4	no	—
266	C₂³	—	4	12	no	—
267	C₂³	—	4	12	no	—
268	C₂³	C₂×Dic₄₃⋊C₄	1	3	yes	—
269	C₂³	C₂×Dic₄₃⋊C₄	1	6	yes	—
270	C₂³	C₂×Dic₄₃⋊C₄	1	6	yes	—
271	C₂³	C₂×Dic₄₃⋊C₄	1	12	yes	—
272	C₂³	C₂×Dic₄₃⋊C₄	1	1	yes	characteristic
273	C₂³	C₂²×Dic₈₆	1	3	yes	—
274	C₂³	C₂²×Dic₈₆	1	4	yes	—
275	C₂×C₄	C₂×Dic₄₃⋊C₄	1	6	yes	—
276	C₂×C₄	C₂×Dic₄₃⋊C₄	1	12	yes	—
277	C₂×C₄	C₂×Dic₄₃⋊C₄	1	12	yes	—
278	C₂×C₄	C₂×Dic₄₃⋊C₄	1	12	yes	—
279	C₂×C₄	C₂×Dic₄₃⋊C₄	1	12	yes	—
280	C₂×C₄	C₂×Dic₄₃⋊C₄	1	12	yes	—
281	C₂×C₄	C₂×Dic₄₃⋊C₄	1	3	yes	—
282	C₂×C₄	C₂×Dic₄₃⋊C₄	1	6	yes	—
283	C₂×C₄	C₂×Dic₄₃⋊C₄	1	6	yes	—
284	C₂×C₄	C₂×Dic₄₃⋊C₄	1	3	yes	—
285	C₂×C₄	C₂²×C₄×D₄₃	1	3	yes	—
286	C₂×C₄	C₂²×C₄×D₄₃	1	3	yes	—
287	C₂×C₄	C₂²×C₄×D₄₃	1	4	yes	—
288	C₂×C₄	C₂²×C₄×D₄₃	1	4	yes	—
289	C₂×C₄	C₂²×C₂²⋊D₄₃	1	3	yes	—
290	C₂×C₄	C₂²×C₂²⋊D₄₃	1	4	yes	—
291	C₂×C₄	C₂²×C₂²⋊D₄₃	1	4	yes	—
292	C₂×C₄	C₂²×C₂²⋊D₄₃	1	3	yes	—
293	C₂×C₄	C₂²×Dic₈₆	1	3	yes	—
294	C₂×C₄	C₂²×Dic₈₆	1	4	yes	—
295	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
296	C₈	—	2	8	no	—
297	C₈	—	43	16	no	—
298	C₈	—	86	8	no	—
299	C₂²	—	2	12	no	—
300	C₂²	—	2	12	no	—
301	C₂²	—	2	6	no	—
302	C₂²	—	2	6	no	—
303	C₂²	—	4	12	no	—
304	C₂²	—	4	4	no	—
305	C₂²	#14582947	1	4	yes	direct product factor
306	C₂²	C₂²×Dic₄₃⋊C₄	1	3	yes	—
307	C₂²	C₂²×Dic₄₃⋊C₄	1	4	yes	—
308	C₂²	C₂²×Dic₄₃⋊C₄	1	4	yes	—
309	C₂²	C₂²×Dic₄₃⋊C₄	1	3	yes	—
310	C₂²	C₂³×Dic₈₆	1	1	yes	characteristic
311	C₄	C₂²×Dic₄₃⋊C₄	1	3	yes	—
312	C₄	C₂²×Dic₄₃⋊C₄	1	4	yes	—
313	C₄	C₂²×Dic₄₃⋊C₄	1	4	yes	—
314	C₄	C₂²×Dic₄₃⋊C₄	1	3	yes	—
315	C₄	C₂³×C₄×D₄₃	1	1	yes	characteristic
316	C₄	C₂³×C₂²⋊D₄₃	1	1	yes	characteristic
317	C₂	—	2	4	no	—
318	C₂	—	2	4	no	—
319	C₂	—	2	3	no	—
320	C₂	—	2	1	no	—
321	C₂	C₂×#14582947	1	6	yes	direct product factor
322	C₂	C₂³×Dic₄₃⋊C₄	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂×C₂²⋊D₄₃
commutator	C₄×C₄₃	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₂³×M₁₆×C₄₃	C₂
socle	C₂³×C₄₃	C₂×C₄⋊C₄
prime radical	C₂⁵×C₄₃	Q₈
cosocle	C₂×C₄×C₄₃	C₂⁵
hypercenter	C₂³×M₁₆	D₄₃
hypocenter	C₄₃	C₂²×#430
LCS	G ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂⁴×C₄ ◁ C₂³×M₁₆

Complements

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

N	H ≅ G/N	type
3. C₂×#14582947	C₂	direct (N × H)
4. C₂²×#13063260	C₂	semidirect
16. #14582947	C₂²	direct (N × H)
17. C₂×#13063260	C₂²	semidirect
38. #13063260	C₂³	semidirect
144. C₂²×C₄₃	#430	semidirect
165. C₂×C₄₃	C₂×#430	semidirect
185. C₄₃	C₂²×#430	semidirect
305. C₂²	#14582947	direct (N × H)
321. C₂	C₂×#14582947	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×#10621877	2
C₂×#14582947	2
C₂²×#13063260	2
C₂³×M₁₆×C₄₃	2
C₂²×#430	43

Subgroups — C22×#14582947 #25960289

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#14582947 #25960289