Subgroups — C₄₃×#9309 #24929326

Order 11008.

518 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×#3036	C₂	1	1	yes	maximal, characteristic
2	C₄₃×#2975	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄₃×#1804	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₃×#1517	C₂	1	1	yes	maximal, characteristic, complemented
5	C₄₃×#1480	C₂	1	1	yes	maximal, characteristic, complemented
6	C₄₃×#1301	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₃×#1286	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×AGL(1,ℤ/8)×C₄₃	—	2	1	no	—
9	C₄₃×#532	C₂²	1	1	yes	characteristic
10	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
11	C₄₃×#463	—	2	2	no	—
12	C₄₃×#461	C₄	1	2	yes	complemented
13	C₄₃×#459	C₄	1	2	yes	complemented
14	C₄₃×#436	—	2	2	no	—
15	C₄₃×#436	—	2	2	no	—
16	C₄₃×#431	C₂²	1	1	yes	characteristic
17	C₄₃×#431	C₂²	1	1	yes	characteristic
18	C₄₃×#423	C₂²	1	1	yes	characteristic
19	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
20	C₄₃×#417	—	2	1	no	—
21	C₂×#102×C₄₃	—	2	1	no	—
22	C₄₃×#407	—	2	2	no	—
23	C₄₃×#382	C₂²	1	1	yes	characteristic
24	C₄₃×#340	—	2	1	no	—
25	C₄₃×#327	—	2	2	no	—
26	C₄₃×D₄⋊C₈	—	2	2	no	—
27	C₂×#41×C₄₃	—	2	1	no	—
28	C₂²×D₄×C₄₃	D₄	1	1	yes	characteristic
29	C₂³×C₄×C₄₃	—	2	1	no	—
30	AGL(1,ℤ/8)×C₄₃	—	4	2	no	—
31	AGL(1,ℤ/8)×C₄₃	—	4	2	no	—
32	C₂×SD₁₆×C₄₃	—	2	2	no	—
33	C₂×D₈×C₄₃	—	2	2	no	—
34	C₂×M₁₆×C₄₃	—	2	1	no	—
35	C₂×M₁₆×C₄₃	—	2	4	no	—
36	C₂²×C₈×C₄₃	—	2	1	no	—
37	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
38	#127×C₄₃	C₂×C₄	1	1	yes	characteristic
39	#124×C₄₃	—	2	1	no	—
40	#121×C₄₃	—	2	1	no	—
41	#121×C₄₃	—	2	1	no	—
42	C₄×D₄×C₄₃	—	2	1	no	—
43	C₄×D₄×C₄₃	—	2	1	no	—
44	C₄×D₄×C₄₃	—	2	1	no	—
45	C₄×D₄×C₄₃	—	2	1	no	—
46	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
47	C₄×D₄×C₄₃	D₄	1	2	yes	—
48	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
49	C₂×C₄⋊C₄×C₄₃	D₄	1	1	yes	characteristic
50	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
51	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
52	C₄⋊C₈×C₄₃	—	2	1	no	—
53	C₄⋊C₈×C₄₃	—	2	1	no	—
54	C₄⋊C₈×C₄₃	—	2	1	no	—
55	C₄⋊C₈×C₄₃	—	2	1	no	—
56	C₄⋊C₈×C₄₃	—	2	1	no	—
57	C₄⋊C₈×C₄₃	C₂×C₄	1	2	yes	—
58	#103×C₄₃	—	2	2	no	—
59	#102×C₄₃	—	2	2	no	—
60	#102×C₄₃	—	4	2	no	—
61	C₂²⋊C₈×C₄₃	—	2	4	no	—
62	C₂²⋊C₈×C₄₃	—	2	1	no	—
63	C₂²⋊C₈×C₄₃	D₄	1	2	yes	—
64	C₄×C₈×C₄₃	—	2	1	no	—
65	C₄×C₈×C₄₃	D₄	1	2	yes	—
66	#95×C₄₃	—	2	1	no	—
67	#95×C₄₃	—	2	1	no	—
68	C₂⁴×C₄₃	—	2	1	no	—
69	#41×C₄₃	—	4	1	no	—
70	#41×C₄₃	—	4	1	no	—
71	#41×C₄₃	—	4	1	no	—
72	#41×C₄₃	—	4	1	no	—
73	C₂×Q₈×C₄₃	—	2	1	no	—
74	C₂×D₄×C₄₃	—	2	1	no	—
75	C₂×D₄×C₄₃	—	2	1	no	—
76	C₂×D₄×C₄₃	—	2	1	no	—
77	C₂×D₄×C₄₃	—	2	1	no	—
78	C₂×D₄×C₄₃	—	2	1	no	—
79	C₂×D₄×C₄₃	—	2	1	no	—
80	C₂×D₄×C₄₃	—	2	1	no	—
81	C₂×D₄×C₄₃	—	2	1	no	—
82	C₂×D₄×C₄₃	—	4	1	no	—
83	C₂×D₄×C₄₃	C₂²⋊C₄	1	2	yes	—
84	C₂²×C₄×C₄₃	—	2	2	no	—
85	C₂²×C₄×C₄₃	—	2	2	no	—
86	C₂²×C₄×C₄₃	—	2	1	no	—
87	C₂²×C₄×C₄₃	—	4	1	no	—
88	C₂²×C₄×C₄₃	—	4	1	no	—
89	C₂²×C₄×C₄₃	—	8	2	no	—
90	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
91	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
93	SD₁₆×C₄₃	—	4	4	no	—
94	D₈×C₄₃	—	4	4	no	—
95	M₁₆×C₄₃	—	4	1	no	—
96	M₁₆×C₄₃	—	4	1	no	—
97	M₁₆×C₄₃	—	8	4	no	—
98	C₂×C₈×C₄₃	—	2	2	no	—
99	C₂×C₈×C₄₃	—	2	2	no	—
100	C₂×C₈×C₄₃	—	2	2	no	—
101	C₂×C₈×C₄₃	—	4	1	no	—
102	C₂×C₈×C₄₃	—	4	1	no	—
103	C₂×C₈×C₄₃	—	4	1	no	—
104	C₄⋊C₄×C₄₃	—	2	1	no	—
105	C₄⋊C₄×C₄₃	—	2	1	no	—
106	C₄⋊C₄×C₄₃	—	2	1	no	—
107	C₄⋊C₄×C₄₃	—	4	1	no	—
108	C₄⋊C₄×C₄₃	—	4	1	no	—
109	C₄⋊C₄×C₄₃	C₂²⋊C₄	1	2	yes	—
110	C₂²⋊C₄×C₄₃	—	2	2	no	—
111	C₂²⋊C₄×C₄₃	—	2	2	no	—
112	C₂²⋊C₄×C₄₃	—	4	1	no	—
113	C₂²⋊C₄×C₄₃	—	4	1	no	—
114	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
115	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
116	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
117	C₄²×C₄₃	#41	1	1	yes	characteristic
118	C₂³×C₄₃	—	2	2	no	—
119	C₂³×C₄₃	—	4	1	no	—
120	C₂³×C₄₃	—	4	1	no	—
121	C₂³×C₄₃	—	4	1	no	—
122	C₂³×C₄₃	—	8	1	no	—
123	C₂³×C₄₃	—	8	1	no	—
124	C₂³×C₄₃	#121	1	1	yes	characteristic
125	Q₈×C₄₃	—	4	1	no	—
126	Q₈×C₄₃	—	4	1	no	—
127	D₄×C₄₃	—	2	2	no	—
128	D₄×C₄₃	—	2	2	no	—
129	D₄×C₄₃	—	4	2	no	—
130	D₄×C₄₃	—	4	1	no	—
131	D₄×C₄₃	—	4	1	no	—
132	D₄×C₄₃	—	4	1	no	—
133	D₄×C₄₃	—	4	1	no	—
134	D₄×C₄₃	—	8	1	no	—
135	D₄×C₄₃	—	8	1	no	—
136	D₄×C₄₃	—	8	1	no	—
137	C₂×C₄×C₄₃	—	2	2	no	—
138	C₂×C₄×C₄₃	—	4	1	no	—
139	C₂×C₄×C₄₃	—	4	1	no	—
140	C₂×C₄×C₄₃	—	4	4	no	—
141	C₂×C₄×C₄₃	—	4	1	no	—
142	C₂×C₄×C₄₃	—	8	2	no	—
143	C₂×C₄×C₄₃	—	8	1	no	—
144	C₂×C₄×C₄₃	—	8	1	no	—
145	C₂×C₄×C₄₃	—	8	1	no	—
146	C₂×C₄×C₄₃	—	8	1	no	—
147	C₂×C₄×C₄₃	—	8	1	no	—
148	C₂×C₄×C₄₃	—	8	1	no	—
149	C₂×C₄×C₄₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
150	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
151	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
152	C₂×C₄×C₄₃	#120	1	1	yes	characteristic
153	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
154	C₂×C₄×C₄₃	#123	1	1	yes	characteristic
155	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
156	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
157	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
158	C₂×C₄×C₄₃	#137	1	1	yes	characteristic
159	C₈×C₄₃	—	4	2	no	—
160	C₈×C₄₃	—	4	2	no	—
161	C₈×C₄₃	—	4	2	no	—
162	C₈×C₄₃	—	8	1	no	—
163	#9309	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
164	C₂²×C₄₃	—	2	1	no	—
165	C₂²×C₄₃	—	2	1	no	—
166	C₂²×C₄₃	—	4	2	no	—
167	C₂²×C₄₃	—	4	2	no	—
168	C₂²×C₄₃	—	4	2	no	—
169	C₂²×C₄₃	—	8	2	no	—
170	C₂²×C₄₃	—	8	2	no	—
171	C₂²×C₄₃	—	8	1	no	—
172	C₂²×C₄₃	—	8	1	no	—
173	C₂²×C₄₃	—	8	1	no	—
174	C₂²×C₄₃	#386	1	1	yes	characteristic
175	C₂²×C₄₃	#468	1	1	yes	characteristic
176	C₂²×C₄₃	#469	1	1	yes	characteristic
177	C₄×C₄₃	—	2	1	no	—
178	C₄×C₄₃	—	2	1	no	—
179	C₄×C₄₃	—	2	1	no	—
180	C₄×C₄₃	—	2	1	no	—
181	C₄×C₄₃	—	4	2	no	—
182	C₄×C₄₃	—	8	1	no	—
183	C₄×C₄₃	—	16	1	no	—
184	C₄×C₄₃	#417	1	1	yes	characteristic
185	C₄×C₄₃	#418	1	1	yes	characteristic
186	C₄×C₄₃	#468	1	1	yes	characteristic
187	C₄×C₄₃	#469	1	1	yes	characteristic
188	#3036	C₂×C₄₃	1	1	yes	characteristic
189	#2975	C₂×C₄₃	1	1	yes	characteristic, complemented
190	#1804	C₂×C₄₃	1	1	yes	characteristic, complemented
191	#1517	C₂×C₄₃	1	1	yes	characteristic, complemented
192	#1480	C₂×C₄₃	1	1	yes	characteristic, complemented
193	#1301	C₂×C₄₃	1	1	yes	characteristic, complemented
194	#1286	C₂×C₄₃	1	1	yes	characteristic, complemented
195	C₂×C₄₃	—	2	1	no	—
196	C₂×C₄₃	—	2	1	no	—
197	C₂×C₄₃	—	8	2	no	—
198	C₂×C₄₃	—	16	1	no	—
199	C₂×C₄₃	#1881	1	1	yes	characteristic
200	C₂×C₄₃	#1895	1	1	yes	characteristic
201	C₂×C₄₃	#1904	1	1	yes	characteristic
202	C₂×AGL(1,ℤ/8)	—	2	1	no	—
203	#532	C₂²×C₄₃	1	1	yes	characteristic
204	C₂×C₄×D₄	C₂²×C₄₃	1	1	yes	characteristic
205	#463	—	2	2	no	—
206	#461	C₄×C₄₃	1	2	yes	complemented
207	#459	C₄×C₄₃	1	2	yes	complemented
208	#436	—	2	2	no	—
209	#436	—	2	2	no	—
210	#431	C₂²×C₄₃	1	1	yes	characteristic
211	#431	C₂²×C₄₃	1	1	yes	characteristic
212	#423	C₂²×C₄₃	1	1	yes	characteristic
213	C₂×C₄⋊C₈	C₂²×C₄₃	1	1	yes	characteristic
214	#417	—	2	1	no	—
215	C₂×#102	—	2	1	no	—
216	#407	—	2	2	no	—
217	#382	C₂²×C₄₃	1	1	yes	characteristic
218	#340	—	2	1	no	—
219	#327	—	2	2	no	—
220	D₄⋊C₈	—	2	2	no	—
221	C₄₃	#9309	1	1	yes	characteristic, direct product factor, Sylow
222	C₂×#41	—	2	1	no	—
223	C₂²×D₄	D₄×C₄₃	1	1	yes	characteristic
224	C₂³×C₄	—	2	1	no	—
225	AGL(1,ℤ/8)	—	4	2	no	—
226	AGL(1,ℤ/8)	—	4	2	no	—
227	C₂×SD₁₆	—	2	2	no	—
228	C₂×D₈	—	2	2	no	—
229	C₂×M₁₆	—	2	1	no	—
230	C₂×M₁₆	—	2	4	no	—
231	C₂²×C₈	—	2	1	no	—
232	C₄⋊Q₈	C₂×C₄×C₄₃	1	1	yes	characteristic
233	#127	C₂×C₄×C₄₃	1	1	yes	characteristic
234	#124	—	2	1	no	—
235	#121	—	2	1	no	—
236	#121	—	2	1	no	—
237	C₄×D₄	—	2	1	no	—
238	C₄×D₄	—	2	1	no	—
239	C₄×D₄	—	2	1	no	—
240	C₄×D₄	—	2	1	no	—
241	C₄×D₄	C₂×C₄×C₄₃	1	2	yes	—
242	C₄×D₄	D₄×C₄₃	1	2	yes	—
243	C₂×C₄⋊C₄	—	2	1	no	—
244	C₂×C₄⋊C₄	D₄×C₄₃	1	1	yes	characteristic
245	C₂×C₂²⋊C₄	—	2	1	no	—
246	C₂×C₄²	C₂³×C₄₃	1	1	yes	characteristic
247	C₄⋊C₈	—	2	1	no	—
248	C₄⋊C₈	—	2	1	no	—
249	C₄⋊C₈	—	2	1	no	—
250	C₄⋊C₈	—	2	1	no	—
251	C₄⋊C₈	—	2	1	no	—
252	C₄⋊C₈	C₂×C₄×C₄₃	1	2	yes	—
253	#103	—	2	2	no	—
254	#102	—	2	2	no	—
255	#102	—	4	2	no	—
256	C₂²⋊C₈	—	2	4	no	—
257	C₂²⋊C₈	—	2	1	no	—
258	C₂²⋊C₈	D₄×C₄₃	1	2	yes	—
259	C₄×C₈	—	2	1	no	—
260	C₄×C₈	D₄×C₄₃	1	2	yes	—
261	#95	—	2	1	no	—
262	#95	—	2	1	no	—
263	C₂⁴	—	2	1	no	—
264	#41	—	4	1	no	—
265	#41	—	4	1	no	—
266	#41	—	4	1	no	—
267	#41	—	4	1	no	—
268	C₂×Q₈	—	2	1	no	—
269	C₂×D₄	—	2	1	no	—
270	C₂×D₄	—	2	1	no	—
271	C₂×D₄	—	2	1	no	—
272	C₂×D₄	—	2	1	no	—
273	C₂×D₄	—	2	1	no	—
274	C₂×D₄	—	2	1	no	—
275	C₂×D₄	—	2	1	no	—
276	C₂×D₄	—	2	1	no	—
277	C₂×D₄	—	4	1	no	—
278	C₂×D₄	C₂²⋊C₄×C₄₃	1	2	yes	—
279	C₂²×C₄	—	2	1	no	—
280	C₂²×C₄	—	2	2	no	—
281	C₂²×C₄	—	2	2	no	—
282	C₂²×C₄	—	4	1	no	—
283	C₂²×C₄	—	4	1	no	—
284	C₂²×C₄	—	8	2	no	—
285	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
286	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
287	C₂²×C₄	#41×C₄₃	1	1	yes	characteristic
288	SD₁₆	—	4	4	no	—
289	D₈	—	4	4	no	—
290	M₁₆	—	4	1	no	—
291	M₁₆	—	4	1	no	—
292	M₁₆	—	8	4	no	—
293	C₂×C₈	—	2	2	no	—
294	C₂×C₈	—	2	2	no	—
295	C₂×C₈	—	2	2	no	—
296	C₂×C₈	—	4	1	no	—
297	C₂×C₈	—	4	1	no	—
298	C₂×C₈	—	4	1	no	—
299	C₄⋊C₄	—	2	1	no	—
300	C₄⋊C₄	—	2	1	no	—
301	C₄⋊C₄	—	2	1	no	—
302	C₄⋊C₄	—	4	1	no	—
303	C₄⋊C₄	—	4	1	no	—
304	C₄⋊C₄	C₂²⋊C₄×C₄₃	1	2	yes	—
305	C₂²⋊C₄	—	2	2	no	—
306	C₂²⋊C₄	—	2	2	no	—
307	C₂²⋊C₄	—	4	1	no	—
308	C₂²⋊C₄	—	4	1	no	—
309	C₄²	C₂²×C₄×C₄₃	1	1	yes	characteristic
310	C₄²	C₂×D₄×C₄₃	1	1	yes	characteristic
311	C₄²	C₂×D₄×C₄₃	1	1	yes	characteristic
312	C₄²	#41×C₄₃	1	1	yes	characteristic
313	C₂³	—	2	2	no	—
314	C₂³	—	4	1	no	—
315	C₂³	—	4	1	no	—
316	C₂³	—	4	1	no	—
317	C₂³	—	8	1	no	—
318	C₂³	—	8	1	no	—
319	C₂³	#121×C₄₃	1	1	yes	characteristic
320	Q₈	—	4	1	no	—
321	Q₈	—	4	1	no	—
322	D₄	—	2	2	no	—
323	D₄	—	2	2	no	—
324	D₄	—	4	2	no	—
325	D₄	—	4	1	no	—
326	D₄	—	4	1	no	—
327	D₄	—	4	1	no	—
328	D₄	—	4	1	no	—
329	D₄	—	8	1	no	—
330	D₄	—	8	1	no	—
331	D₄	—	8	1	no	—
332	C₂×C₄	—	2	2	no	—
333	C₂×C₄	—	4	1	no	—
334	C₂×C₄	—	4	1	no	—
335	C₂×C₄	—	4	4	no	—
336	C₂×C₄	—	4	1	no	—
337	C₂×C₄	—	8	2	no	—
338	C₂×C₄	—	8	1	no	—
339	C₂×C₄	—	8	1	no	—
340	C₂×C₄	—	8	1	no	—
341	C₂×C₄	—	8	1	no	—
342	C₂×C₄	—	8	1	no	—
343	C₂×C₄	—	8	1	no	—
344	C₂×C₄	C₂×C₂²⋊C₄×C₄₃	1	1	yes	characteristic
345	C₂×C₄	C₄×D₄×C₄₃	1	1	yes	characteristic
346	C₂×C₄	C₄×D₄×C₄₃	1	1	yes	characteristic
347	C₂×C₄	#120×C₄₃	1	1	yes	characteristic
348	C₂×C₄	#121×C₄₃	1	1	yes	characteristic
349	C₂×C₄	#123×C₄₃	1	1	yes	characteristic
350	C₂×C₄	AGL(1,ℤ/8)×C₄₃	1	1	yes	characteristic
351	C₂×C₄	AGL(1,ℤ/8)×C₄₃	1	1	yes	characteristic
352	C₂×C₄	AGL(1,ℤ/8)×C₄₃	1	1	yes	characteristic
353	C₂×C₄	#137×C₄₃	1	1	yes	characteristic
354	C₈	—	4	2	no	—
355	C₈	—	4	2	no	—
356	C₈	—	4	2	no	—
357	C₈	—	8	1	no	—
358	C₂²	—	2	1	no	—
359	C₂²	—	2	1	no	—
360	C₂²	—	4	2	no	—
361	C₂²	—	4	2	no	—
362	C₂²	—	4	2	no	—
363	C₂²	—	8	2	no	—
364	C₂²	—	8	2	no	—
365	C₂²	—	8	1	no	—
366	C₂²	—	8	1	no	—
367	C₂²	—	8	1	no	—
368	C₂²	C₄₃×#386	1	1	yes	characteristic
369	C₂²	C₄₃×#468	1	1	yes	characteristic
370	C₂²	C₄₃×#469	1	1	yes	characteristic
371	C₄	—	2	1	no	—
372	C₄	—	2	1	no	—
373	C₄	—	2	1	no	—
374	C₄	—	2	1	no	—
375	C₄	—	4	2	no	—
376	C₄	—	8	1	no	—
377	C₄	—	16	1	no	—
378	C₄	C₄₃×#417	1	1	yes	characteristic
379	C₄	C₄₃×#418	1	1	yes	characteristic
380	C₄	C₄₃×#468	1	1	yes	characteristic
381	C₄	C₄₃×#469	1	1	yes	characteristic
382	C₂	—	2	1	no	—
383	C₂	—	2	1	no	—
384	C₂	—	8	2	no	—
385	C₂	—	16	1	no	—
386	C₂	C₄₃×#1881	1	1	yes	characteristic
387	C₂	C₄₃×#1895	1	1	yes	characteristic
388	C₂	C₄₃×#1904	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₄₃	#386
commutator	C₄²	C₂²×C₄×C₄₃
Frattini, cosocle	C₂×C₄²	C₂³×C₄₃
prime radical	C₄₃×#3036	C₂
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₄₃ ◁ C₂×C₄²×C₄₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₄₃×#2975	C₂	semidirect
3. C₄₃×#1804	C₂	semidirect
4. C₄₃×#1517	C₂	semidirect
5. C₄₃×#1480	C₂	semidirect
6. C₄₃×#1301	C₂	semidirect
7. C₄₃×#1286	C₂	semidirect
12. C₄₃×#461	C₄	semidirect
13. C₄₃×#459	C₄	semidirect
163. #9309	C₄₃	direct (N × H)
189. #2975	C₂×C₄₃	semidirect
190. #1804	C₂×C₄₃	semidirect
191. #1517	C₂×C₄₃	semidirect
192. #1480	C₂×C₄₃	semidirect
193. #1301	C₂×C₄₃	semidirect
194. #1286	C₂×C₄₃	semidirect
206. #461	C₄×C₄₃	semidirect
207. #459	C₄×C₄₃	semidirect
221. C₄₃	#9309	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×#3036	2
C₄₃×#2975	2
C₄₃×#1804	2
C₄₃×#1517	2
C₄₃×#1480	2
C₄₃×#1301	2
C₄₃×#1286	2
#9309	43

Subgroups — C43×#9309 #24929326

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#9309 #24929326