Subgroups — C₄₃×#20640 #24940657

Order 11008.

1390 conjugacy classes of subgroups.

The subgroup lattice has 344 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₃×#520	C₂	1	1	yes	maximal, characteristic
2	C₄₃×#2905	C₂	1	2	yes	maximal, complemented
3	C₂×C₄₃×#413	C₂	1	2	yes	maximal
4	C₄₃×#1801	C₂	1	4	yes	maximal, complemented
5	C₄₃×#1800	C₂	1	4	yes	maximal, complemented
6	C₂×C₄₃×#343	C₂	1	2	yes	maximal, complemented
7	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic
8	C₂²×M₁₆×C₄₃	C₂²	1	4	yes	—
9	C₄₃×#520	—	2	8	no	—
10	C₂×C₄×Q₈×C₄₃	C₂²	1	2	yes	—
11	C₂×C₄×D₄×C₄₃	C₄	1	4	yes	—
12	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	—
13	C₂×#117×C₄₃	C₄	1	2	yes	—
14	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
15	C₂²×C₄⋊C₄×C₄₃	C₄	1	2	yes	—
16	C₂²×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
17	C₄₃×#424	—	2	8	no	—
18	C₄₃×#423	C₂²	1	8	yes	—
19	C₄₃×#413	—	2	8	no	—
20	C₂×#101×C₄₃	C₂²	1	4	yes	—
21	C₂×#100×C₄₃	C₂²	1	4	yes	—
22	C₄₃×#343	C₂²	1	8	yes	—
23	C₂×#41×C₄₃	—	2	4	no	—
24	C₂×#41×C₄₃	—	2	4	no	—
25	C₂×#41×C₄₃	D₄	1	4	yes	—
26	C₂×#41×C₄₃	Q₈	1	4	yes	—
27	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
28	C₂²×D₄×C₄₃	C₂×C₄	1	2	yes	—
29	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
30	C₂³×C₄×C₄₃	C₂×C₄	1	2	yes	—
31	C₂³×C₄×C₄₃	C₂×C₄	1	4	yes	—
32	C₂³×C₄×C₄₃	C₂×C₄	1	2	yes	—
33	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
34	C₂×M₁₆×C₄₃	—	2	4	no	—
35	C₂×M₁₆×C₄₃	—	2	8	no	—
36	C₂×M₁₆×C₄₃	—	2	8	no	—
37	C₂×M₁₆×C₄₃	C₂³	1	8	yes	—
38	C₂²×C₈×C₄₃	—	2	4	no	—
39	C₄×Q₈×C₄₃	—	2	8	no	—
40	C₄×D₄×C₄₃	—	2	16	no	—
41	C₄×D₄×C₄₃	—	2	8	no	—
42	#117×C₄₃	—	2	8	no	—
43	#117×C₄₃	D₄	1	8	yes	—
44	C₂×C₄⋊C₄×C₄₃	—	2	4	no	—
45	C₂×C₄⋊C₄×C₄₃	—	2	8	no	—
46	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	2	yes	—
47	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	4	yes	—
48	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
49	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
50	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
51	C₂×C₂²⋊C₄×C₄₃	C₂×C₄	1	4	yes	—
52	C₂×C₂²⋊C₄×C₄₃	C₂×C₄	1	2	yes	—
53	C₂×C₄²×C₄₃	C₂×C₄	1	4	yes	—
54	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
55	C₄⋊C₈×C₄₃	—	2	16	no	—
56	#101×C₄₃	—	2	8	no	—
57	#100×C₄₃	—	2	8	no	—
58	C₂⁴×C₄₃	C₂²×C₄	1	2	yes	—
59	C₂⁴×C₄₃	C₂²×C₄	1	1	yes	characteristic
60	#41×C₄₃	—	2	16	no	—
61	#41×C₄₃	—	2	16	no	—
62	C₂×Q₈×C₄₃	—	2	2	no	—
63	C₂×Q₈×C₄₃	—	2	2	no	—
64	C₂×Q₈×C₄₃	C₂×D₄	1	2	yes	—
65	C₂×Q₈×C₄₃	C₂×Q₈	1	2	yes	—
66	C₂×D₄×C₄₃	—	2	2	no	—
67	C₂×D₄×C₄₃	—	2	2	no	—
68	C₂×D₄×C₄₃	—	2	4	no	—
69	C₂×D₄×C₄₃	—	2	4	no	—
70	C₂×D₄×C₄₃	C₄⋊C₄	1	8	yes	—
71	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
72	C₂×D₄×C₄₃	C₂×Q₈	1	2	yes	—
73	C₂²×C₄×C₄₃	—	2	4	no	—
74	C₂²×C₄×C₄₃	—	2	4	no	—
75	C₂²×C₄×C₄₃	—	2	8	no	—
76	C₂²×C₄×C₄₃	—	2	4	no	—
77	C₂²×C₄×C₄₃	—	8	2	no	—
78	C₂²×C₄×C₄₃	—	8	4	no	—
79	C₂²×C₄×C₄₃	C₄⋊C₄	1	8	yes	—
80	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
81	C₂²×C₄×C₄₃	C₂²×C₄	1	4	yes	—
82	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
83	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
84	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
85	C₂²×C₄×C₄₃	C₂×D₄	1	4	yes	—
86	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
87	C₂²×C₄×C₄₃	C₂×Q₈	1	2	yes	—
88	C₂²×C₄×C₄₃	#41	1	4	yes	—
89	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
90	M₁₆×C₄₃	—	2	8	no	—
91	M₁₆×C₄₃	—	2	8	no	—
92	M₁₆×C₄₃	—	4	8	no	—
93	C₂×C₈×C₄₃	—	2	8	no	—
94	C₂×C₈×C₄₃	—	4	8	no	—
95	C₄⋊C₄×C₄₃	—	2	4	no	—
96	C₄⋊C₄×C₄₃	—	2	8	no	—
97	C₄⋊C₄×C₄₃	—	2	4	no	—
98	C₄⋊C₄×C₄₃	C₂²⋊C₄	1	4	yes	—
99	C₄⋊C₄×C₄₃	C₂²⋊C₄	1	4	yes	—
100	C₂²⋊C₄×C₄₃	—	2	8	no	—
101	C₂²⋊C₄×C₄₃	C₂²⋊C₄	1	8	yes	—
102	C₄²×C₄₃	—	2	8	no	—
103	C₄²×C₄₃	C₂×D₄	1	8	yes	—
104	C₂³×C₄₃	—	2	2	no	—
105	C₂³×C₄₃	—	2	2	no	—
106	C₂³×C₄₃	—	4	1	no	—
107	C₂³×C₄₃	—	4	1	no	—
108	C₂³×C₄₃	—	4	2	no	—
109	C₂³×C₄₃	—	4	2	no	—
110	C₂³×C₄₃	C₂×C₂²⋊C₄	1	2	yes	—
111	C₂³×C₄₃	C₂×C₄⋊C₄	1	4	yes	—
112	C₂³×C₄₃	C₂×C₄⋊C₄	1	2	yes	—
113	C₂³×C₄₃	#117	1	2	yes	—
114	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
115	Q₈×C₄₃	—	2	4	no	—
116	Q₈×C₄₃	—	2	4	no	—
117	D₄×C₄₃	—	2	16	no	—
118	D₄×C₄₃	—	2	4	no	—
119	D₄×C₄₃	—	2	4	no	—
120	C₂×C₄×C₄₃	—	2	2	no	—
121	C₂×C₄×C₄₃	—	2	2	no	—
122	C₂×C₄×C₄₃	—	2	16	no	—
123	C₂×C₄×C₄₃	—	2	4	no	—
124	C₂×C₄×C₄₃	—	4	2	no	—
125	C₂×C₄×C₄₃	—	4	2	no	—
126	C₂×C₄×C₄₃	—	4	4	no	—
127	C₂×C₄×C₄₃	—	8	8	no	—
128	C₂×C₄×C₄₃	—	8	4	no	—
129	C₂×C₄×C₄₃	C₂×C₂²⋊C₄	1	4	yes	—
130	C₂×C₄×C₄₃	C₂×C₂²⋊C₄	1	4	yes	—
131	C₂×C₄×C₄₃	C₂×C₂²⋊C₄	1	2	yes	—
132	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	4	yes	—
133	C₂×C₄×C₄₃	C₂×C₄⋊C₄	1	2	yes	—
134	C₂×C₄×C₄₃	#117	1	2	yes	—
135	C₂×C₄×C₄₃	#121	1	8	yes	—
136	C₂×C₄×C₄₃	C₂²⋊Q₈	1	8	yes	—
137	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
138	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
139	C₂×C₄×C₄₃	C₂²×Q₈	1	1	yes	characteristic
140	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
141	C₈×C₄₃	—	4	8	no	—
142	#20640	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
143	C₂²×C₄₃	—	2	1	no	—
144	C₂²×C₄₃	—	2	2	no	—
145	C₂²×C₄₃	—	2	1	no	—
146	C₂²×C₄₃	—	2	2	no	—
147	C₂²×C₄₃	—	2	4	no	—
148	C₂²×C₄₃	—	4	2	no	—
149	C₂²×C₄₃	—	4	2	no	—
150	C₂²×C₄₃	—	4	4	no	—
151	C₂²×C₄₃	—	4	4	no	—
152	C₂²×C₄₃	—	4	2	no	—
153	C₂²×C₄₃	—	4	2	no	—
154	C₂²×C₄₃	#380	1	4	yes	—
155	C₂²×C₄₃	C₂²×C₂²⋊C₄	1	1	yes	characteristic
156	C₂²×C₄₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
157	C₂²×C₄₃	C₂×#117	1	1	yes	characteristic
158	C₄×C₄₃	—	2	4	no	—
159	C₄×C₄₃	—	2	4	no	—
160	C₄×C₄₃	—	2	4	no	—
161	C₄×C₄₃	—	4	4	no	—
162	C₄×C₄₃	#380	1	4	yes	—
163	C₄×C₄₃	C₂×#121	1	2	yes	—
164	C₄×C₄₃	C₂×C₂²⋊Q₈	1	2	yes	—
165	C₂×#520	C₂×C₄₃	1	1	yes	characteristic
166	#2905	C₂×C₄₃	1	2	yes	complemented
167	C₂×#413	C₂×C₄₃	1	2	yes	—
168	#1801	C₂×C₄₃	1	4	yes	complemented
169	#1800	C₂×C₄₃	1	4	yes	complemented
170	C₂×#343	C₂×C₄₃	1	2	yes	complemented
171	C₂×C₄₃	—	2	1	no	—
172	C₂×C₄₃	—	2	1	no	—
173	C₂×C₄₃	—	2	4	no	—
174	C₂×C₄₃	—	4	4	no	—
175	C₂×C₄₃	C₂×#380	1	1	yes	characteristic
176	C₂×C₄₃	#2888	1	1	yes	characteristic
177	C₂×C₄₃	#2889	1	1	yes	characteristic
178	C₂²×#41	C₂²×C₄₃	1	1	yes	characteristic
179	C₂²×M₁₆	C₂²×C₄₃	1	4	yes	—
180	#520	—	2	8	no	—
181	C₂×C₄×Q₈	C₂²×C₄₃	1	2	yes	—
182	C₂×C₄×D₄	C₄×C₄₃	1	4	yes	—
183	C₂×C₄×D₄	C₂²×C₄₃	1	2	yes	—
184	C₂×#117	C₄×C₄₃	1	2	yes	—
185	C₂×#117	C₂²×C₄₃	1	1	yes	characteristic
186	C₂²×C₄⋊C₄	C₄×C₄₃	1	2	yes	—
187	C₂²×C₄⋊C₄	C₂²×C₄₃	1	1	yes	characteristic
188	#424	—	2	8	no	—
189	#423	C₂²×C₄₃	1	8	yes	—
190	#413	—	2	8	no	—
191	C₂×#101	C₂²×C₄₃	1	4	yes	—
192	C₂×#100	C₂²×C₄₃	1	4	yes	—
193	#343	C₂²×C₄₃	1	8	yes	—
194	C₄₃	#20640	1	1	yes	characteristic, direct product factor, Sylow
195	C₂×#41	—	2	4	no	—
196	C₂×#41	—	2	4	no	—
197	C₂×#41	D₄×C₄₃	1	4	yes	—
198	C₂×#41	Q₈×C₄₃	1	4	yes	—
199	C₂²×Q₈	C₂³×C₄₃	1	1	yes	characteristic
200	C₂²×D₄	C₂×C₄×C₄₃	1	2	yes	—
201	C₂²×D₄	C₂³×C₄₃	1	1	yes	characteristic
202	C₂³×C₄	C₂×C₄×C₄₃	1	2	yes	—
203	C₂³×C₄	C₂×C₄×C₄₃	1	4	yes	—
204	C₂³×C₄	C₂×C₄×C₄₃	1	2	yes	—
205	C₂³×C₄	C₂³×C₄₃	1	1	yes	characteristic
206	C₂×M₁₆	—	2	4	no	—
207	C₂×M₁₆	—	2	8	no	—
208	C₂×M₁₆	—	2	8	no	—
209	C₂×M₁₆	C₂³×C₄₃	1	8	yes	—
210	C₂²×C₈	—	2	4	no	—
211	C₄×Q₈	—	2	8	no	—
212	C₄×D₄	—	2	16	no	—
213	C₄×D₄	—	2	8	no	—
214	#117	—	2	8	no	—
215	#117	D₄×C₄₃	1	8	yes	—
216	C₂×C₄⋊C₄	—	2	4	no	—
217	C₂×C₄⋊C₄	—	2	8	no	—
218	C₂×C₄⋊C₄	C₂×C₄×C₄₃	1	2	yes	—
219	C₂×C₄⋊C₄	C₂×C₄×C₄₃	1	4	yes	—
220	C₂×C₄⋊C₄	C₂×C₄×C₄₃	1	1	yes	characteristic
221	C₂×C₄⋊C₄	C₂×C₄×C₄₃	1	1	yes	characteristic
222	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
223	C₂×C₂²⋊C₄	C₂×C₄×C₄₃	1	4	yes	—
224	C₂×C₂²⋊C₄	C₂×C₄×C₄₃	1	2	yes	—
225	C₂×C₄²	C₂×C₄×C₄₃	1	4	yes	—
226	C₂×C₄²	C₂³×C₄₃	1	2	yes	—
227	C₄⋊C₈	—	2	16	no	—
228	#101	—	2	8	no	—
229	#100	—	2	8	no	—
230	C₂⁴	C₂²×C₄×C₄₃	1	2	yes	—
231	C₂⁴	C₂²×C₄×C₄₃	1	1	yes	characteristic
232	#41	—	2	16	no	—
233	#41	—	2	16	no	—
234	C₂×Q₈	—	2	2	no	—
235	C₂×Q₈	—	2	2	no	—
236	C₂×Q₈	C₂×D₄×C₄₃	1	2	yes	—
237	C₂×Q₈	C₂×Q₈×C₄₃	1	2	yes	—
238	C₂×D₄	—	2	4	no	—
239	C₂×D₄	—	2	4	no	—
240	C₂×D₄	—	2	2	no	—
241	C₂×D₄	—	2	2	no	—
242	C₂×D₄	C₄⋊C₄×C₄₃	1	8	yes	—
243	C₂×D₄	C₂×D₄×C₄₃	1	2	yes	—
244	C₂×D₄	C₂×Q₈×C₄₃	1	2	yes	—
245	C₂²×C₄	—	2	4	no	—
246	C₂²×C₄	—	2	4	no	—
247	C₂²×C₄	—	2	4	no	—
248	C₂²×C₄	—	2	8	no	—
249	C₂²×C₄	—	8	4	no	—
250	C₂²×C₄	—	8	2	no	—
251	C₂²×C₄	C₄⋊C₄×C₄₃	1	8	yes	—
252	C₂²×C₄	C₂²×C₄×C₄₃	1	2	yes	—
253	C₂²×C₄	C₂²×C₄×C₄₃	1	4	yes	—
254	C₂²×C₄	C₂²×C₄×C₄₃	1	2	yes	—
255	C₂²×C₄	C₂²×C₄×C₄₃	1	2	yes	—
256	C₂²×C₄	C₂²×C₄×C₄₃	1	1	yes	characteristic
257	C₂²×C₄	C₂×D₄×C₄₃	1	4	yes	—
258	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
259	C₂²×C₄	C₂×Q₈×C₄₃	1	2	yes	—
260	C₂²×C₄	#41×C₄₃	1	4	yes	—
261	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
262	M₁₆	—	2	8	no	—
263	M₁₆	—	2	8	no	—
264	M₁₆	—	4	8	no	—
265	C₂×C₈	—	2	8	no	—
266	C₂×C₈	—	4	8	no	—
267	C₄⋊C₄	—	2	4	no	—
268	C₄⋊C₄	—	2	8	no	—
269	C₄⋊C₄	—	2	4	no	—
270	C₄⋊C₄	C₂²⋊C₄×C₄₃	1	4	yes	—
271	C₄⋊C₄	C₂²⋊C₄×C₄₃	1	4	yes	—
272	C₂²⋊C₄	—	2	8	no	—
273	C₂²⋊C₄	C₂²⋊C₄×C₄₃	1	8	yes	—
274	C₄²	—	2	8	no	—
275	C₄²	C₂×D₄×C₄₃	1	8	yes	—
276	C₂³	—	2	2	no	—
277	C₂³	—	2	2	no	—
278	C₂³	—	4	1	no	—
279	C₂³	—	4	1	no	—
280	C₂³	—	4	2	no	—
281	C₂³	—	4	2	no	—
282	C₂³	C₂×C₂²⋊C₄×C₄₃	1	2	yes	—
283	C₂³	C₂×C₄⋊C₄×C₄₃	1	4	yes	—
284	C₂³	C₂×C₄⋊C₄×C₄₃	1	2	yes	—
285	C₂³	#117×C₄₃	1	2	yes	—
286	C₂³	C₂³×C₄×C₄₃	1	1	yes	characteristic
287	Q₈	—	2	4	no	—
288	Q₈	—	2	4	no	—
289	D₄	—	2	16	no	—
290	D₄	—	2	4	no	—
291	D₄	—	2	4	no	—
292	C₂×C₄	—	2	2	no	—
293	C₂×C₄	—	2	2	no	—
294	C₂×C₄	—	2	16	no	—
295	C₂×C₄	—	2	4	no	—
296	C₂×C₄	—	4	2	no	—
297	C₂×C₄	—	4	2	no	—
298	C₂×C₄	—	4	4	no	—
299	C₂×C₄	—	8	8	no	—
300	C₂×C₄	—	8	4	no	—
301	C₂×C₄	C₂×C₂²⋊C₄×C₄₃	1	4	yes	—
302	C₂×C₄	C₂×C₂²⋊C₄×C₄₃	1	4	yes	—
303	C₂×C₄	C₂×C₂²⋊C₄×C₄₃	1	2	yes	—
304	C₂×C₄	C₂×C₄⋊C₄×C₄₃	1	4	yes	—
305	C₂×C₄	C₂×C₄⋊C₄×C₄₃	1	2	yes	—
306	C₂×C₄	#117×C₄₃	1	2	yes	—
307	C₂×C₄	#121×C₄₃	1	8	yes	—
308	C₂×C₄	C₂²⋊Q₈×C₄₃	1	8	yes	—
309	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
310	C₂×C₄	C₂²×D₄×C₄₃	1	2	yes	—
311	C₂×C₄	C₂²×Q₈×C₄₃	1	1	yes	characteristic
312	C₂×C₄	C₂×#41×C₄₃	1	2	yes	—
313	C₈	—	4	8	no	—
314	C₂²	—	2	1	no	—
315	C₂²	—	2	2	no	—
316	C₂²	—	2	1	no	—
317	C₂²	—	2	2	no	—
318	C₂²	—	2	4	no	—
319	C₂²	—	4	2	no	—
320	C₂²	—	4	2	no	—
321	C₂²	—	4	4	no	—
322	C₂²	—	4	4	no	—
323	C₂²	—	4	2	no	—
324	C₂²	—	4	2	no	—
325	C₂²	C₄₃×#380	1	4	yes	—
326	C₂²	C₂²×C₂²⋊C₄×C₄₃	1	1	yes	characteristic
327	C₂²	C₂²×C₄⋊C₄×C₄₃	1	1	yes	characteristic
328	C₂²	C₂×#117×C₄₃	1	1	yes	characteristic
329	C₄	—	2	4	no	—
330	C₄	—	2	4	no	—
331	C₄	—	2	4	no	—
332	C₄	—	4	4	no	—
333	C₄	C₄₃×#380	1	4	yes	—
334	C₄	C₂×#121×C₄₃	1	2	yes	—
335	C₄	C₂×C₂²⋊Q₈×C₄₃	1	2	yes	—
336	C₂	—	2	1	no	—
337	C₂	—	2	1	no	—
338	C₂	—	2	4	no	—
339	C₂	—	4	4	no	—
340	C₂	C₂×C₄₃×#380	1	1	yes	characteristic
341	C₂	C₄₃×#2888	1	1	yes	characteristic
342	C₂	C₄₃×#2889	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₄₃	C₂²×C₂²⋊C₄
commutator	C₂³	C₂³×C₄×C₄₃
Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₃
prime radical	C₂²×#41×C₄₃	C₂²
LCS	G ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄₃ ◁ C₂×#117×C₄₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₄₃×#2905	C₂	semidirect
4. C₄₃×#1801	C₂	semidirect
5. C₄₃×#1800	C₂	semidirect
6. C₂×C₄₃×#343	C₂	semidirect
142. #20640	C₄₃	direct (N × H)
166. #2905	C₂×C₄₃	semidirect
168. #1801	C₂×C₄₃	semidirect
169. #1800	C₂×C₄₃	semidirect
170. C₂×#343	C₂×C₄₃	semidirect
194. C₄₃	#20640	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₄₃×#520	2
C₄₃×#2905	2
C₂×C₄₃×#413	2
C₄₃×#1801	2
C₄₃×#1800	2
C₂×C₄₃×#343	2
#20640	43

Subgroups — C43×#20640 #24940657

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#20640 #24940657