Subgroups — C₄₃×#29892 #24949909

Order 11008.

1128 conjugacy classes of subgroups.

The subgroup lattice has 390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₃×#2847	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄₃×#380	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₃×#2077	C₂	1	4	yes	maximal, complemented
4	C₄₃×#2034	C₂	1	4	yes	maximal, complemented
5	C₄₃×#1874	C₂	1	2	yes	maximal, complemented
6	C₄₃×#1853	C₂	1	2	yes	maximal, complemented
7	C₄₃×#1779	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂⁴×C₄×C₄₃	C₂²	1	1	yes	characteristic
9	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic
10	C₂×#121×C₄₃	C₂²	1	2	yes	—
11	C₂×#120×C₄₃	—	2	1	no	—
12	C₂²×C₄⋊C₄×C₄₃	C₂²	1	2	yes	—
13	C₂²×C₂²⋊C₄×C₄₃	—	2	1	no	—
14	C₂×#106×C₄₃	C₂²	1	4	yes	complemented
15	C₂×#102×C₄₃	C₂²	1	4	yes	complemented
16	C₂×C₂²⋊C₈×C₄₃	C₂²	1	2	yes	—
17	C₂×C₂²⋊C₈×C₄₃	C₂²	1	4	yes	—
18	C₄₃×#386	—	2	1	no	—
19	C₄₃×#386	—	2	2	no	—
20	C₄₃×#380	—	2	2	no	—
21	C₄₃×#380	C₂²	1	2	yes	—
22	C₄₃×#380	C₂²	1	4	yes	—
23	C₄₃×#380	C₂²	1	1	yes	characteristic
24	C₂×#95×C₄₃	—	2	1	no	—
25	C₄₃×#340	C₂²	1	4	yes	complemented
26	C₄₃×#340	C₂²	1	4	yes	complemented
27	C₂⁵×C₄₃	D₄	1	1	yes	characteristic
28	C₂²×D₄×C₄₃	—	2	2	no	—
29	C₂²×D₄×C₄₃	—	2	1	no	—
30	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
31	C₂³×C₄×C₄₃	—	2	4	no	—
32	C₂³×C₄×C₄₃	—	2	2	no	—
33	C₂³×C₄×C₄₃	—	4	4	no	—
34	C₂³×C₄×C₄₃	D₄	1	1	yes	characteristic
35	C₂³×C₄×C₄₃	D₄	1	2	yes	—
36	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
37	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
38	C₂²×C₈×C₄₃	C₂³	1	4	yes	—
39	#121×C₄₃	—	2	4	no	—
40	#121×C₄₃	—	4	4	no	—
41	#120×C₄₃	—	4	4	no	—
42	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
43	C₂×C₄⋊C₄×C₄₃	—	4	4	no	—
44	C₂×C₄⋊C₄×C₄₃	C₂³	1	4	yes	—
45	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
46	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
47	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
48	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
49	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
50	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
51	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
52	C₂×C₂²⋊C₄×C₄₃	—	4	4	no	—
53	#106×C₄₃	—	4	4	no	—
54	#102×C₄₃	—	4	4	no	—
55	C₂²⋊C₈×C₄₃	—	2	4	no	—
56	C₂²⋊C₈×C₄₃	—	4	4	no	—
57	#95×C₄₃	—	2	4	no	—
58	#95×C₄₃	—	2	2	no	—
59	#95×C₄₃	—	2	1	no	—
60	C₂⁴×C₄₃	—	2	2	no	—
61	C₂⁴×C₄₃	—	2	2	no	—
62	C₂⁴×C₄₃	—	2	1	no	—
63	C₂⁴×C₄₃	—	4	2	no	—
64	C₂⁴×C₄₃	—	4	2	no	—
65	C₂⁴×C₄₃	SD₁₆	1	4	yes	—
66	C₂⁴×C₄₃	C₂×D₄	1	2	yes	—
67	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
68	C₂×D₄×C₄₃	—	2	2	no	—
69	C₂×D₄×C₄₃	—	2	4	no	—
70	C₂×D₄×C₄₃	—	4	4	no	—
71	C₂×D₄×C₄₃	—	4	4	no	—
72	C₂×D₄×C₄₃	—	4	2	no	—
73	C₂×D₄×C₄₃	—	4	4	no	—
74	C₂×D₄×C₄₃	—	4	2	no	—
75	C₂×D₄×C₄₃	—	4	2	no	—
76	C₂²×C₄×C₄₃	—	2	4	no	—
77	C₂²×C₄×C₄₃	—	2	4	no	—
78	C₂²×C₄×C₄₃	—	2	4	no	—
79	C₂²×C₄×C₄₃	—	2	4	no	—
80	C₂²×C₄×C₄₃	—	2	4	no	—
81	C₂²×C₄×C₄₃	—	2	2	no	—
82	C₂²×C₄×C₄₃	—	2	1	no	—
83	C₂²×C₄×C₄₃	—	2	2	no	—
84	C₂²×C₄×C₄₃	—	2	4	no	—
85	C₂²×C₄×C₄₃	—	4	2	no	—
86	C₂²×C₄×C₄₃	—	4	2	no	—
87	C₂²×C₄×C₄₃	—	4	2	no	—
88	C₂²×C₄×C₄₃	—	4	4	no	—
89	C₂²×C₄×C₄₃	—	4	4	no	—
90	C₂²×C₄×C₄₃	—	4	16	no	—
91	C₂²×C₄×C₄₃	—	4	4	no	—
92	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
93	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₄₃	#41	1	4	yes	—
95	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
96	C₂×C₈×C₄₃	—	2	4	no	—
97	C₂×C₈×C₄₃	—	2	4	no	—
98	C₂×C₈×C₄₃	—	2	4	no	—
99	C₄⋊C₄×C₄₃	—	2	2	no	—
100	C₄⋊C₄×C₄₃	—	2	4	no	—
101	C₄⋊C₄×C₄₃	—	2	4	no	—
102	C₄⋊C₄×C₄₃	—	2	4	no	—
103	C₄⋊C₄×C₄₃	—	4	4	no	—
104	C₂²⋊C₄×C₄₃	—	4	8	no	—
105	C₂²⋊C₄×C₄₃	—	4	4	no	—
106	C₂²⋊C₄×C₄₃	—	4	2	no	—
107	C₂²⋊C₄×C₄₃	—	4	4	no	—
108	C₂²⋊C₄×C₄₃	—	4	2	no	—
109	C₂³×C₄₃	—	2	2	no	—
110	C₂³×C₄₃	—	2	2	no	—
111	C₂³×C₄₃	—	2	2	no	—
112	C₂³×C₄₃	—	2	2	no	—
113	C₂³×C₄₃	—	2	2	no	—
114	C₂³×C₄₃	—	2	2	no	—
115	C₂³×C₄₃	—	2	2	no	—
116	C₂³×C₄₃	—	2	2	no	—
117	C₂³×C₄₃	—	2	8	no	—
118	C₂³×C₄₃	—	4	8	no	—
119	C₂³×C₄₃	—	4	4	no	—
120	C₂³×C₄₃	—	4	4	no	—
121	C₂³×C₄₃	—	4	8	no	—
122	C₂³×C₄₃	—	4	1	no	—
123	C₂³×C₄₃	—	4	2	no	—
124	C₂³×C₄₃	—	4	1	no	—
125	C₂³×C₄₃	—	4	1	no	—
126	C₂³×C₄₃	—	4	2	no	—
127	C₂³×C₄₃	#123	1	2	yes	—
128	C₂³×C₄₃	C₂×SD₁₆	1	4	yes	—
129	C₂³×C₄₃	C₂×SD₁₆	1	2	yes	—
130	C₂³×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
131	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
132	D₄×C₄₃	—	4	4	no	—
133	D₄×C₄₃	—	8	8	no	—
134	D₄×C₄₃	—	8	4	no	—
135	C₂×C₄×C₄₃	—	2	2	no	—
136	C₂×C₄×C₄₃	—	2	8	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	—	4	8	no	—
141	C₂×C₄×C₄₃	—	4	4	no	—
142	C₂×C₄×C₄₃	—	4	8	no	—
143	C₂×C₄×C₄₃	—	4	1	no	—
144	C₂×C₄×C₄₃	—	4	2	no	—
145	C₂×C₄×C₄₃	—	4	4	no	—
146	C₂×C₄×C₄₃	—	4	1	no	—
147	C₂×C₄×C₄₃	—	4	2	no	—
148	C₂×C₄×C₄₃	—	4	4	no	—
149	C₂×C₄×C₄₃	—	4	1	no	—
150	C₂×C₄×C₄₃	—	4	4	no	—
151	C₂×C₄×C₄₃	—	4	2	no	—
152	C₂×C₄×C₄₃	—	8	8	no	—
153	C₂×C₄×C₄₃	#123	1	2	yes	—
154	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
155	C₂×C₄×C₄₃	H(5,𝔽₂)	1	4	yes	—
156	C₈×C₄₃	—	4	4	no	—
157	#29892	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
158	C₂²×C₄₃	—	2	2	no	—
159	C₂²×C₄₃	—	2	2	no	—
160	C₂²×C₄₃	—	2	4	no	—
161	C₂²×C₄₃	—	2	4	no	—
162	C₂²×C₄₃	—	2	4	no	—
163	C₂²×C₄₃	—	2	4	no	—
164	C₂²×C₄₃	—	2	4	no	—
165	C₂²×C₄₃	—	4	16	no	—
166	C₂²×C₄₃	—	4	2	no	—
167	C₂²×C₄₃	—	4	2	no	—
168	C₂²×C₄₃	—	4	2	no	—
169	C₂²×C₄₃	—	4	2	no	—
170	C₂²×C₄₃	—	8	1	no	—
171	C₂²×C₄₃	—	8	1	no	—
172	C₂²×C₄₃	—	8	1	no	—
173	C₂²×C₄₃	—	8	2	no	—
174	C₂²×C₄₃	—	8	2	no	—
175	C₂²×C₄₃	#481	1	4	yes	—
176	C₂²×C₄₃	C₂×#123	1	1	yes	characteristic
177	C₂²×C₄₃	#534	1	2	yes	—
178	C₂²×C₄₃	C₂²×SD₁₆	1	1	yes	characteristic
179	C₂²×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
180	C₂²×C₄₃	#575	1	2	yes	—
181	C₄×C₄₃	—	2	2	no	—
182	C₄×C₄₃	—	4	2	no	—
183	C₄×C₄₃	—	8	1	no	—
184	C₄×C₄₃	—	8	2	no	—
185	C₄×C₄₃	—	8	4	no	—
186	C₄×C₄₃	#538	1	4	yes	—
187	#2847	C₂×C₄₃	1	1	yes	characteristic
188	C₂×#380	C₂×C₄₃	1	1	yes	characteristic, complemented
189	#2077	C₂×C₄₃	1	4	yes	complemented
190	#2034	C₂×C₄₃	1	4	yes	complemented
191	#1874	C₂×C₄₃	1	2	yes	complemented
192	#1853	C₂×C₄₃	1	2	yes	complemented
193	#1779	C₂×C₄₃	1	1	yes	characteristic, complemented
194	C₂×C₄₃	—	2	4	no	—
195	C₂×C₄₃	—	4	4	no	—
196	C₂×C₄₃	—	16	1	no	—
197	C₂×C₄₃	#2622	1	1	yes	characteristic
198	C₂×C₄₃	C₂×#481	1	1	yes	characteristic
199	C₂×C₄₃	#3093	1	1	yes	characteristic
200	C₂×C₄₃	#3187	1	2	yes	—
201	C₂×C₄₃	#3194	1	2	yes	—
202	C₂⁴×C₄	C₂²×C₄₃	1	1	yes	characteristic
203	C₂×#121	C₂²×C₄₃	1	1	yes	characteristic
204	C₂×#121	C₂²×C₄₃	1	2	yes	—
205	C₂×#120	—	2	1	no	—
206	C₂²×C₄⋊C₄	C₂²×C₄₃	1	2	yes	—
207	C₂²×C₂²⋊C₄	—	2	1	no	—
208	C₂×#106	C₂²×C₄₃	1	4	yes	complemented
209	C₂×#102	C₂²×C₄₃	1	4	yes	complemented
210	C₂×C₂²⋊C₈	C₂²×C₄₃	1	2	yes	—
211	C₂×C₂²⋊C₈	C₂²×C₄₃	1	4	yes	—
212	#386	—	2	1	no	—
213	#386	—	2	2	no	—
214	#380	—	2	2	no	—
215	#380	C₂²×C₄₃	1	2	yes	—
216	#380	C₂²×C₄₃	1	4	yes	—
217	#380	C₂²×C₄₃	1	1	yes	characteristic
218	C₂×#95	—	2	1	no	—
219	#340	C₂²×C₄₃	1	4	yes	complemented
220	#340	C₂²×C₄₃	1	4	yes	complemented
221	C₄₃	#29892	1	1	yes	characteristic, direct product factor, Sylow
222	C₂⁵	D₄×C₄₃	1	1	yes	characteristic
223	C₂²×D₄	—	2	2	no	—
224	C₂²×D₄	—	2	1	no	—
225	C₂²×D₄	C₂³×C₄₃	1	1	yes	characteristic
226	C₂³×C₄	—	2	4	no	—
227	C₂³×C₄	—	2	2	no	—
228	C₂³×C₄	—	4	4	no	—
229	C₂³×C₄	D₄×C₄₃	1	1	yes	characteristic
230	C₂³×C₄	D₄×C₄₃	1	2	yes	—
231	C₂³×C₄	C₂³×C₄₃	1	2	yes	—
232	C₂³×C₄	C₂³×C₄₃	1	1	yes	characteristic
233	C₂²×C₈	C₂³×C₄₃	1	4	yes	—
234	#121	—	2	4	no	—
235	#121	—	4	4	no	—
236	#120	—	4	4	no	—
237	C₂×C₄⋊C₄	—	2	2	no	—
238	C₂×C₄⋊C₄	—	4	4	no	—
239	C₂×C₄⋊C₄	C₂³×C₄₃	1	4	yes	—
240	C₂×C₄⋊C₄	C₂³×C₄₃	1	1	yes	characteristic
241	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
242	C₂×C₂²⋊C₄	—	2	4	no	—
243	C₂×C₂²⋊C₄	—	2	2	no	—
244	C₂×C₂²⋊C₄	—	2	1	no	—
245	C₂×C₂²⋊C₄	—	2	2	no	—
246	C₂×C₂²⋊C₄	—	2	1	no	—
247	C₂×C₂²⋊C₄	—	4	4	no	—
248	#106	—	4	4	no	—
249	#102	—	4	4	no	—
250	C₂²⋊C₈	—	2	4	no	—
251	C₂²⋊C₈	—	4	4	no	—
252	#95	—	2	4	no	—
253	#95	—	2	2	no	—
254	#95	—	2	1	no	—
255	C₂⁴	—	2	2	no	—
256	C₂⁴	—	2	2	no	—
257	C₂⁴	—	2	1	no	—
258	C₂⁴	—	4	2	no	—
259	C₂⁴	—	4	2	no	—
260	C₂⁴	SD₁₆×C₄₃	1	4	yes	—
261	C₂⁴	C₂×D₄×C₄₃	1	2	yes	—
262	C₂⁴	C₂×D₄×C₄₃	1	1	yes	characteristic
263	C₂×D₄	—	2	2	no	—
264	C₂×D₄	—	2	4	no	—
265	C₂×D₄	—	4	4	no	—
266	C₂×D₄	—	4	4	no	—
267	C₂×D₄	—	4	2	no	—
268	C₂×D₄	—	4	4	no	—
269	C₂×D₄	—	4	2	no	—
270	C₂×D₄	—	4	2	no	—
271	C₂²×C₄	—	2	4	no	—
272	C₂²×C₄	—	2	2	no	—
273	C₂²×C₄	—	2	4	no	—
274	C₂²×C₄	—	2	4	no	—
275	C₂²×C₄	—	2	4	no	—
276	C₂²×C₄	—	2	4	no	—
277	C₂²×C₄	—	2	1	no	—
278	C₂²×C₄	—	2	2	no	—
279	C₂²×C₄	—	2	4	no	—
280	C₂²×C₄	—	4	2	no	—
281	C₂²×C₄	—	4	2	no	—
282	C₂²×C₄	—	4	2	no	—
283	C₂²×C₄	—	4	16	no	—
284	C₂²×C₄	—	4	4	no	—
285	C₂²×C₄	—	4	4	no	—
286	C₂²×C₄	—	4	4	no	—
287	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
288	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
289	C₂²×C₄	#41×C₄₃	1	4	yes	—
290	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
291	C₂×C₈	—	2	4	no	—
292	C₂×C₈	—	2	4	no	—
293	C₂×C₈	—	2	4	no	—
294	C₄⋊C₄	—	2	2	no	—
295	C₄⋊C₄	—	2	4	no	—
296	C₄⋊C₄	—	2	4	no	—
297	C₄⋊C₄	—	2	4	no	—
298	C₄⋊C₄	—	4	4	no	—
299	C₂²⋊C₄	—	4	4	no	—
300	C₂²⋊C₄	—	4	8	no	—
301	C₂²⋊C₄	—	4	4	no	—
302	C₂²⋊C₄	—	4	2	no	—
303	C₂²⋊C₄	—	4	2	no	—
304	C₂³	—	2	2	no	—
305	C₂³	—	2	2	no	—
306	C₂³	—	2	2	no	—
307	C₂³	—	2	2	no	—
308	C₂³	—	2	2	no	—
309	C₂³	—	2	2	no	—
310	C₂³	—	2	2	no	—
311	C₂³	—	2	2	no	—
312	C₂³	—	2	8	no	—
313	C₂³	—	4	8	no	—
314	C₂³	—	4	4	no	—
315	C₂³	—	4	4	no	—
316	C₂³	—	4	8	no	—
317	C₂³	—	4	1	no	—
318	C₂³	—	4	2	no	—
319	C₂³	—	4	1	no	—
320	C₂³	—	4	1	no	—
321	C₂³	—	4	2	no	—
322	C₂³	#123×C₄₃	1	2	yes	—
323	C₂³	C₂×SD₁₆×C₄₃	1	4	yes	—
324	C₂³	C₂×SD₁₆×C₄₃	1	2	yes	—
325	C₂³	AGL(1,ℤ/8)×C₄₃	1	2	yes	—
326	C₂³	C₂²×D₄×C₄₃	1	1	yes	characteristic
327	D₄	—	4	4	no	—
328	D₄	—	8	8	no	—
329	D₄	—	8	4	no	—
330	C₂×C₄	—	2	2	no	—
331	C₂×C₄	—	2	8	no	—
332	C₂×C₄	—	2	2	no	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	2	2	no	—
335	C₂×C₄	—	4	8	no	—
336	C₂×C₄	—	4	4	no	—
337	C₂×C₄	—	4	8	no	—
338	C₂×C₄	—	4	1	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	4	no	—
341	C₂×C₄	—	4	1	no	—
342	C₂×C₄	—	4	2	no	—
343	C₂×C₄	—	4	4	no	—
344	C₂×C₄	—	4	1	no	—
345	C₂×C₄	—	4	4	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	8	8	no	—
348	C₂×C₄	#123×C₄₃	1	2	yes	—
349	C₂×C₄	C₂×#41×C₄₃	1	2	yes	—
350	C₂×C₄	H(5,𝔽₂)×C₄₃	1	4	yes	—
351	C₈	—	4	4	no	—
352	C₂²	—	2	2	no	—
353	C₂²	—	2	2	no	—
354	C₂²	—	2	4	no	—
355	C₂²	—	2	4	no	—
356	C₂²	—	2	4	no	—
357	C₂²	—	2	4	no	—
358	C₂²	—	2	4	no	—
359	C₂²	—	4	16	no	—
360	C₂²	—	4	2	no	—
361	C₂²	—	4	2	no	—
362	C₂²	—	4	2	no	—
363	C₂²	—	4	2	no	—
364	C₂²	—	8	1	no	—
365	C₂²	—	8	1	no	—
366	C₂²	—	8	1	no	—
367	C₂²	—	8	2	no	—
368	C₂²	—	8	2	no	—
369	C₂²	C₄₃×#481	1	4	yes	—
370	C₂²	C₂×#123×C₄₃	1	1	yes	characteristic
371	C₂²	C₄₃×#534	1	2	yes	—
372	C₂²	C₂²×SD₁₆×C₄₃	1	1	yes	characteristic
373	C₂²	C₂×AGL(1,ℤ/8)×C₄₃	1	1	yes	characteristic
374	C₂²	C₄₃×#575	1	2	yes	—
375	C₄	—	2	2	no	—
376	C₄	—	4	2	no	—
377	C₄	—	8	1	no	—
378	C₄	—	8	2	no	—
379	C₄	—	8	4	no	—
380	C₄	C₄₃×#538	1	4	yes	—
381	C₂	—	2	4	no	—
382	C₂	—	4	4	no	—
383	C₂	—	16	1	no	—
384	C₂	C₄₃×#2622	1	1	yes	characteristic
385	C₂	C₂×C₄₃×#481	1	1	yes	characteristic
386	C₂	C₄₃×#3093	1	1	yes	characteristic
387	C₂	C₄₃×#3187	1	2	yes	—
388	C₂	C₄₃×#3194	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₄₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₃
prime radical	C₄₃×#2847	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₄₃ ◁ C₂⁴×C₄×C₄₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₄₃×#380	C₂	semidirect
3. C₄₃×#2077	C₂	semidirect
4. C₄₃×#2034	C₂	semidirect
5. C₄₃×#1874	C₂	semidirect
6. C₄₃×#1853	C₂	semidirect
7. C₄₃×#1779	C₂	semidirect
14. C₂×#106×C₄₃	C₂²	semidirect
15. C₂×#102×C₄₃	C₂²	semidirect
25. C₄₃×#340	C₂²	semidirect
26. C₄₃×#340	C₂²	semidirect
157. #29892	C₄₃	direct (N × H)
188. C₂×#380	C₂×C₄₃	semidirect
189. #2077	C₂×C₄₃	semidirect
190. #2034	C₂×C₄₃	semidirect
191. #1874	C₂×C₄₃	semidirect
192. #1853	C₂×C₄₃	semidirect
193. #1779	C₂×C₄₃	semidirect
208. C₂×#106	C₂²×C₄₃	semidirect
209. C₂×#102	C₂²×C₄₃	semidirect
219. #340	C₂²×C₄₃	semidirect
220. #340	C₂²×C₄₃	semidirect
221. C₄₃	#29892	direct (N × H)

Maximal subgroups

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

subgroup	index
C₄₃×#2847	2
C₂×C₄₃×#380	2
C₄₃×#2077	2
C₄₃×#2034	2
C₄₃×#1874	2
C₄₃×#1853	2
C₄₃×#1779	2
#29892	43

Subgroups — C43×#29892 #24949909

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#29892 #24949909