Subgroups — C₄₃×#28381 #24948398

Order 11008.

1194 conjugacy classes of subgroups.

The subgroup lattice has 376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₃×#476	C₂	1	2	yes	maximal, complemented
2	C₂×C₄₃×#459	C₂	1	2	yes	maximal, complemented
3	C₄₃×#2858	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄×#127×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄₃×#2094	C₂	1	2	yes	maximal, complemented
6	C₄₃×#2011	C₂	1	2	yes	maximal, complemented
7	C₄₃×#1972	C₂	1	4	yes	maximal, complemented
8	C₄₃×#1767	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×D₈×C₄₃	C₂²	1	4	yes	—
10	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
11	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic
12	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic
13	C₂×#124×C₄₃	—	2	2	no	—
14	C₂×C₄×D₄×C₄₃	—	2	2	no	—
15	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	—
16	C₄₃×#476	—	2	8	no	—
17	C₄₃×#459	—	2	8	no	—
18	C₂×#106×C₄₃	C₂²	1	4	yes	—
19	C₂×C₄⋊C₈×C₄₃	C₂²	1	2	yes	—
20	C₂×#102×C₄₃	C₂²	1	4	yes	—
21	C₂×#102×C₄₃	C₂²	1	4	yes	—
22	C₂×#97×C₄₃	C₂²	1	2	yes	—
23	C₄₃×#390	—	2	2	no	—
24	C₄₃×#390	—	2	2	no	—
25	C₄₃×#390	C₂²	1	2	yes	—
26	C₄₃×#390	C₂²	1	2	yes	—
27	C₄₃×#390	C₂²	1	2	yes	—
28	C₄₃×#384	C₂²	1	1	yes	characteristic
29	C₄³×C₄₃	C₂²	1	1	yes	characteristic
30	C₄₃×#336	C₂²	1	2	yes	—
31	C₂²×Q₈×C₄₃	—	2	1	no	—
32	C₂²×D₄×C₄₃	—	2	2	no	—
33	C₂²×D₄×C₄₃	—	2	1	no	—
34	C₂²×D₄×C₄₃	—	2	1	no	—
35	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
36	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
37	C₂³×C₄×C₄₃	—	2	2	no	—
38	C₂×D₈×C₄₃	—	2	8	no	—
39	C₂×D₈×C₄₃	—	2	8	no	—
40	C₂×D₈×C₄₃	—	4	4	no	—
41	C₂²×C₈×C₄₃	C₂³	1	4	yes	—
42	C₄⋊Q₈×C₄₃	—	2	4	no	—
43	#127×C₄₃	—	2	4	no	—
44	#127×C₄₃	—	2	4	no	—
45	#124×C₄₃	—	4	8	no	—
46	C₄×D₄×C₄₃	—	2	4	no	—
47	C₄×D₄×C₄₃	—	2	4	no	—
48	C₄×D₄×C₄₃	—	4	8	no	—
49	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
50	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
51	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
52	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
53	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
54	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
55	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
56	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
57	C₂×C₄²×C₄₃	D₄	1	2	yes	—
58	C₂×C₄²×C₄₃	D₄	1	2	yes	—
59	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
60	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
61	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
62	#106×C₄₃	—	2	8	no	—
63	C₄⋊C₈×C₄₃	D₄	1	8	yes	complemented
64	#102×C₄₃	—	2	8	no	—
65	#102×C₄₃	—	2	8	no	—
66	#97×C₄₃	—	4	2	no	—
67	C₂⁴×C₄₃	—	2	2	no	—
68	C₂⁴×C₄₃	—	2	2	no	—
69	C₂×Q₈×C₄₃	—	4	4	no	—
70	C₂×Q₈×C₄₃	—	4	2	no	—
71	C₂×D₄×C₄₃	—	2	8	no	—
72	C₂×D₄×C₄₃	—	2	2	no	—
73	C₂×D₄×C₄₃	—	2	2	no	—
74	C₂×D₄×C₄₃	—	2	2	no	—
75	C₂×D₄×C₄₃	—	2	4	no	—
76	C₂×D₄×C₄₃	—	2	4	no	—
77	C₂×D₄×C₄₃	—	2	2	no	—
78	C₂×D₄×C₄₃	—	2	2	no	—
79	C₂×D₄×C₄₃	—	2	2	no	—
80	C₂×D₄×C₄₃	—	2	2	no	—
81	C₂×D₄×C₄₃	—	4	4	no	—
82	C₂×D₄×C₄₃	—	4	4	no	—
83	C₂×D₄×C₄₃	—	4	2	no	—
84	C₂×D₄×C₄₃	—	4	2	no	—
85	C₂×D₄×C₄₃	—	4	4	no	—
86	C₂×D₄×C₄₃	—	4	4	no	—
87	C₂×D₄×C₄₃	#41	1	4	yes	—
88	C₂²×C₄×C₄₃	—	2	2	no	—
89	C₂²×C₄×C₄₃	—	2	2	no	—
90	C₂²×C₄×C₄₃	—	4	4	no	—
91	C₂²×C₄×C₄₃	—	4	8	no	—
92	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
93	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
95	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
97	D₈×C₄₃	—	4	16	no	—
98	C₂×C₈×C₄₃	—	2	4	no	—
99	C₂×C₈×C₄₃	—	2	4	no	—
100	C₂×C₈×C₄₃	C₂×D₄	1	8	yes	—
101	C₄⋊C₄×C₄₃	—	2	2	no	—
102	C₄⋊C₄×C₄₃	—	2	4	no	—
103	C₄⋊C₄×C₄₃	—	2	2	no	—
104	C₄⋊C₄×C₄₃	—	4	4	no	—
105	C₄⋊C₄×C₄₃	—	4	2	no	—
106	C₂²⋊C₄×C₄₃	—	4	8	no	—
107	C₂²⋊C₄×C₄₃	—	4	8	no	—
108	C₂²⋊C₄×C₄₃	—	4	4	no	—
109	C₂²⋊C₄×C₄₃	—	4	8	no	—
110	C₄²×C₄₃	—	2	4	no	—
111	C₄²×C₄₃	—	2	4	no	—
112	C₄²×C₄₃	—	2	2	no	—
113	C₄²×C₄₃	—	2	1	no	—
114	C₄²×C₄₃	—	2	1	no	—
115	C₄²×C₄₃	C₂×D₄	1	4	yes	—
116	C₂³×C₄₃	—	2	4	no	—
117	C₂³×C₄₃	—	4	2	no	—
118	C₂³×C₄₃	—	4	2	no	—
119	C₂³×C₄₃	—	4	4	no	—
120	C₂³×C₄₃	—	4	4	no	—
121	C₂³×C₄₃	—	4	2	no	—
122	C₂³×C₄₃	—	4	2	no	—
123	C₂³×C₄₃	—	4	2	no	—
124	C₂³×C₄₃	—	4	4	no	—
125	C₂³×C₄₃	—	4	4	no	—
126	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
127	Q₈×C₄₃	—	8	4	no	—
128	D₄×C₄₃	—	2	4	no	—
129	D₄×C₄₃	—	2	4	no	—
130	D₄×C₄₃	—	4	16	no	—
131	D₄×C₄₃	—	4	2	no	—
132	D₄×C₄₃	—	4	4	no	—
133	D₄×C₄₃	—	4	2	no	—
134	D₄×C₄₃	—	4	4	no	—
135	D₄×C₄₃	—	8	4	no	—
136	D₄×C₄₃	—	8	4	no	—
137	C₂×C₄×C₄₃	—	2	2	no	—
138	C₂×C₄×C₄₃	—	2	2	no	—
139	C₂×C₄×C₄₃	—	2	2	no	—
140	C₂×C₄×C₄₃	—	2	2	no	—
141	C₂×C₄×C₄₃	—	2	2	no	—
142	C₂×C₄×C₄₃	—	2	2	no	—
143	C₂×C₄×C₄₃	—	4	2	no	—
144	C₂×C₄×C₄₃	—	4	2	no	—
145	C₂×C₄×C₄₃	—	4	4	no	—
146	C₂×C₄×C₄₃	—	4	4	no	—
147	C₂×C₄×C₄₃	—	8	8	no	—
148	C₂×C₄×C₄₃	#127	1	2	yes	—
149	C₂×C₄×C₄₃	#127	1	2	yes	—
150	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	4	yes	—
151	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	4	yes	—
152	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
153	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
154	C₂×C₄×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
155	C₂×C₄×C₄₃	2₋¹⁺⁴	1	1	yes	characteristic
156	C₈×C₄₃	—	2	8	no	—
157	#28381	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
158	C₂²×C₄₃	—	4	8	no	—
159	C₂²×C₄₃	—	4	4	no	—
160	C₂²×C₄₃	—	8	2	no	—
161	C₂²×C₄₃	—	8	2	no	—
162	C₂²×C₄₃	—	8	4	no	—
163	C₂²×C₄₃	—	8	4	no	—
164	C₂²×C₄₃	—	8	2	no	—
165	C₂²×C₄₃	—	8	2	no	—
166	C₂²×C₄₃	—	8	4	no	—
167	C₂²×C₄₃	—	8	2	no	—
168	C₂²×C₄₃	#525	1	1	yes	characteristic
169	C₂²×C₄₃	C₂×#127	1	1	yes	characteristic
170	C₂²×C₄₃	#537	1	1	yes	characteristic
171	C₂²×C₄₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
172	C₂²×C₄₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
173	C₄×C₄₃	—	2	4	no	—
174	C₄×C₄₃	—	2	2	no	—
175	C₄×C₄₃	—	4	2	no	—
176	C₄×C₄₃	—	8	2	no	—
177	C₄×C₄₃	—	8	2	no	—
178	C₄×C₄₃	#496	1	4	yes	—
179	C₄×C₄₃	#546	1	2	yes	—
180	C₄×C₄₃	#548	1	2	yes	—
181	C₂×#476	C₂×C₄₃	1	2	yes	complemented
182	C₂×#459	C₂×C₄₃	1	2	yes	complemented
183	#2858	C₂×C₄₃	1	1	yes	characteristic, complemented
184	C₄×#127	C₂×C₄₃	1	1	yes	characteristic, complemented
185	#2094	C₂×C₄₃	1	2	yes	complemented
186	#2011	C₂×C₄₃	1	2	yes	complemented
187	#1972	C₂×C₄₃	1	4	yes	complemented
188	#1767	C₂×C₄₃	1	1	yes	characteristic, complemented
189	C₂×C₄₃	—	8	4	no	—
190	C₂×C₄₃	—	16	2	no	—
191	C₂×C₄₃	#2540	1	1	yes	characteristic
192	C₂×C₄₃	#3109	1	2	yes	—
193	C₂×C₄₃	C₂×#496	1	1	yes	characteristic
194	C₂×C₄₃	#3151	1	1	yes	characteristic
195	C₂×C₄₃	#3253	1	2	yes	—
196	C₂²×D₈	C₂²×C₄₃	1	4	yes	—
197	C₂×C₄⋊Q₈	C₂²×C₄₃	1	1	yes	characteristic
198	C₂×#127	C₂²×C₄₃	1	1	yes	characteristic
199	C₂×#127	C₂²×C₄₃	1	1	yes	characteristic
200	C₂×#124	—	2	2	no	—
201	C₂×C₄×D₄	—	2	2	no	—
202	C₂×C₄×D₄	C₂²×C₄₃	1	2	yes	—
203	#476	—	2	8	no	—
204	#459	—	2	8	no	—
205	C₂×#106	C₂²×C₄₃	1	4	yes	—
206	C₂×C₄⋊C₈	C₂²×C₄₃	1	2	yes	—
207	C₂×#102	C₂²×C₄₃	1	4	yes	—
208	C₂×#102	C₂²×C₄₃	1	4	yes	—
209	C₂×#97	C₂²×C₄₃	1	2	yes	—
210	#390	—	2	2	no	—
211	#390	—	2	2	no	—
212	#390	C₂²×C₄₃	1	2	yes	—
213	#390	C₂²×C₄₃	1	2	yes	—
214	#390	C₂²×C₄₃	1	2	yes	—
215	#384	C₂²×C₄₃	1	1	yes	characteristic
216	C₄³	C₂²×C₄₃	1	1	yes	characteristic
217	#336	C₂²×C₄₃	1	2	yes	—
218	C₄₃	#28381	1	1	yes	characteristic, direct product factor, Sylow
219	C₂²×Q₈	—	2	1	no	—
220	C₂²×D₄	—	2	2	no	—
221	C₂²×D₄	—	2	1	no	—
222	C₂²×D₄	—	2	1	no	—
223	C₂²×D₄	C₂³×C₄₃	1	2	yes	—
224	C₂²×D₄	C₂³×C₄₃	1	2	yes	—
225	C₂³×C₄	—	2	2	no	—
226	C₂×D₈	—	2	8	no	—
227	C₂×D₈	—	2	8	no	—
228	C₂×D₈	—	4	4	no	—
229	C₂²×C₈	C₂³×C₄₃	1	4	yes	—
230	C₄⋊Q₈	—	2	4	no	—
231	#127	—	2	4	no	—
232	#127	—	2	4	no	—
233	#124	—	4	8	no	—
234	C₄×D₄	—	2	4	no	—
235	C₄×D₄	—	2	4	no	—
236	C₄×D₄	—	4	8	no	—
237	C₂×C₄⋊C₄	—	2	2	no	—
238	C₂×C₄⋊C₄	—	2	1	no	—
239	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
240	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
241	C₂×C₂²⋊C₄	—	2	4	no	—
242	C₂×C₂²⋊C₄	—	2	2	no	—
243	C₂×C₂²⋊C₄	—	2	4	no	—
244	C₂×C₂²⋊C₄	—	2	4	no	—
245	C₂×C₄²	D₄×C₄₃	1	2	yes	—
246	C₂×C₄²	D₄×C₄₃	1	2	yes	—
247	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
248	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
249	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
250	#106	—	2	8	no	—
251	C₄⋊C₈	D₄×C₄₃	1	8	yes	complemented
252	#102	—	2	8	no	—
253	#102	—	2	8	no	—
254	#97	—	4	2	no	—
255	C₂⁴	—	2	2	no	—
256	C₂⁴	—	2	2	no	—
257	C₂×Q₈	—	4	4	no	—
258	C₂×Q₈	—	4	2	no	—
259	C₂×D₄	—	2	8	no	—
260	C₂×D₄	—	2	2	no	—
261	C₂×D₄	—	2	2	no	—
262	C₂×D₄	—	2	4	no	—
263	C₂×D₄	—	2	2	no	—
264	C₂×D₄	—	2	4	no	—
265	C₂×D₄	—	2	2	no	—
266	C₂×D₄	—	2	2	no	—
267	C₂×D₄	—	2	2	no	—
268	C₂×D₄	—	2	2	no	—
269	C₂×D₄	—	4	4	no	—
270	C₂×D₄	—	4	4	no	—
271	C₂×D₄	—	4	2	no	—
272	C₂×D₄	—	4	2	no	—
273	C₂×D₄	—	4	4	no	—
274	C₂×D₄	—	4	4	no	—
275	C₂×D₄	#41×C₄₃	1	4	yes	—
276	C₂²×C₄	—	2	2	no	—
277	C₂²×C₄	—	2	2	no	—
278	C₂²×C₄	—	4	4	no	—
279	C₂²×C₄	—	4	8	no	—
280	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
281	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
282	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
283	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
284	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
285	D₈	—	4	16	no	—
286	C₂×C₈	—	2	4	no	—
287	C₂×C₈	—	2	4	no	—
288	C₂×C₈	C₂×D₄×C₄₃	1	8	yes	—
289	C₄⋊C₄	—	2	2	no	—
290	C₄⋊C₄	—	2	4	no	—
291	C₄⋊C₄	—	2	2	no	—
292	C₄⋊C₄	—	4	4	no	—
293	C₄⋊C₄	—	4	2	no	—
294	C₂²⋊C₄	—	4	8	no	—
295	C₂²⋊C₄	—	4	8	no	—
296	C₂²⋊C₄	—	4	4	no	—
297	C₂²⋊C₄	—	4	8	no	—
298	C₄²	—	2	4	no	—
299	C₄²	—	2	4	no	—
300	C₄²	—	2	2	no	—
301	C₄²	—	2	1	no	—
302	C₄²	—	2	1	no	—
303	C₄²	C₂×D₄×C₄₃	1	4	yes	—
304	C₂³	—	2	4	no	—
305	C₂³	—	4	2	no	—
306	C₂³	—	4	2	no	—
307	C₂³	—	4	4	no	—
308	C₂³	—	4	4	no	—
309	C₂³	—	4	2	no	—
310	C₂³	—	4	2	no	—
311	C₂³	—	4	2	no	—
312	C₂³	—	4	4	no	—
313	C₂³	—	4	4	no	—
314	C₂³	C₂²×D₄×C₄₃	1	1	yes	characteristic
315	Q₈	—	8	4	no	—
316	D₄	—	2	4	no	—
317	D₄	—	2	4	no	—
318	D₄	—	4	16	no	—
319	D₄	—	4	2	no	—
320	D₄	—	4	4	no	—
321	D₄	—	4	2	no	—
322	D₄	—	4	4	no	—
323	D₄	—	8	4	no	—
324	D₄	—	8	4	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	2	2	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	2	2	no	—
330	C₂×C₄	—	2	2	no	—
331	C₂×C₄	—	4	2	no	—
332	C₂×C₄	—	4	2	no	—
333	C₂×C₄	—	4	4	no	—
334	C₂×C₄	—	4	4	no	—
335	C₂×C₄	—	8	8	no	—
336	C₂×C₄	#127×C₄₃	1	2	yes	—
337	C₂×C₄	#127×C₄₃	1	2	yes	—
338	C₂×C₄	AGL(1,ℤ/8)×C₄₃	1	4	yes	—
339	C₂×C₄	AGL(1,ℤ/8)×C₄₃	1	4	yes	—
340	C₂×C₄	C₂²×D₄×C₄₃	1	2	yes	—
341	C₂×C₄	C₂×#41×C₄₃	1	2	yes	—
342	C₂×C₄	H(5,𝔽₂)×C₄₃	1	1	yes	characteristic
343	C₂×C₄	2₋¹⁺⁴×C₄₃	1	1	yes	characteristic
344	C₈	—	2	8	no	—
345	C₂²	—	4	8	no	—
346	C₂²	—	4	4	no	—
347	C₂²	—	8	2	no	—
348	C₂²	—	8	2	no	—
349	C₂²	—	8	4	no	—
350	C₂²	—	8	4	no	—
351	C₂²	—	8	2	no	—
352	C₂²	—	8	2	no	—
353	C₂²	—	8	4	no	—
354	C₂²	—	8	2	no	—
355	C₂²	C₄₃×#525	1	1	yes	characteristic
356	C₂²	C₂×#127×C₄₃	1	1	yes	characteristic
357	C₂²	C₄₃×#537	1	1	yes	characteristic
358	C₂²	C₂×AGL(1,ℤ/8)×C₄₃	1	2	yes	—
359	C₂²	C₂×AGL(1,ℤ/8)×C₄₃	1	2	yes	—
360	C₄	—	2	4	no	—
361	C₄	—	2	2	no	—
362	C₄	—	4	2	no	—
363	C₄	—	8	2	no	—
364	C₄	—	8	2	no	—
365	C₄	C₄₃×#496	1	4	yes	—
366	C₄	C₄₃×#546	1	2	yes	—
367	C₄	C₄₃×#548	1	2	yes	—
368	C₂	—	8	4	no	—
369	C₂	—	16	2	no	—
370	C₂	C₄₃×#2540	1	1	yes	characteristic
371	C₂	C₄₃×#3109	1	2	yes	—
372	C₂	C₂×C₄₃×#496	1	1	yes	characteristic
373	C₂	C₄₃×#3151	1	1	yes	characteristic
374	C₂	C₄₃×#3253	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₄₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₃
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₄₃ ◁ C₄³×C₄₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₄₃×#476	C₂	semidirect
2. C₂×C₄₃×#459	C₂	semidirect
3. C₄₃×#2858	C₂	semidirect
4. C₄×#127×C₄₃	C₂	semidirect
5. C₄₃×#2094	C₂	semidirect
6. C₄₃×#2011	C₂	semidirect
7. C₄₃×#1972	C₂	semidirect
8. C₄₃×#1767	C₂	semidirect
63. C₄⋊C₈×C₄₃	D₄	semidirect
157. #28381	C₄₃	direct (N × H)
181. C₂×#476	C₂×C₄₃	semidirect
182. C₂×#459	C₂×C₄₃	semidirect
183. #2858	C₂×C₄₃	semidirect
184. C₄×#127	C₂×C₄₃	semidirect
185. #2094	C₂×C₄₃	semidirect
186. #2011	C₂×C₄₃	semidirect
187. #1972	C₂×C₄₃	semidirect
188. #1767	C₂×C₄₃	semidirect
218. C₄₃	#28381	direct (N × H)
251. C₄⋊C₈	D₄×C₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₄₃×#476	2
C₂×C₄₃×#459	2
C₄₃×#2858	2
C₄×#127×C₄₃	2
C₄₃×#2094	2
C₄₃×#2011	2
C₄₃×#1972	2
C₄₃×#1767	2
#28381	43

Subgroups — C43×#28381 #24948398

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#28381 #24948398