Subgroups — C₄₃×#29733 #24949750

Order 11008.

1122 conjugacy classes of subgroups.

The subgroup lattice has 382 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄₃×#467	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₂²⋊C₈×C₄₃	C₂	1	1	yes	maximal, characteristic
3	C₄₃×#2848	C₂	1	2	yes	maximal
4	C₄₃×#2075	C₂	1	2	yes	maximal, complemented
5	C₄₃×#2035	C₂	1	4	yes	maximal, complemented
6	C₄₃×#2001	C₂	1	2	yes	maximal, complemented
7	C₄₃×#1892	C₂	1	2	yes	maximal, complemented
8	C₄₃×#1807	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂⁴×C₄×C₄₃	C₂²	1	1	yes	characteristic
10	C₂²×Q₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
11	C₂³×C₈×C₄₃	C₂²	1	1	yes	characteristic
12	C₂³×C₈×C₄₃	C₂²	1	1	yes	characteristic
13	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	2	yes	—
14	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	4	yes	—
15	C₄₃×#467	—	2	4	no	—
16	C₂×#107×C₄₃	C₂²	1	1	yes	characteristic, complemented
17	C₂×#106×C₄₃	C₂²	1	2	yes	complemented
18	C₂×#103×C₄₃	C₂²	1	2	yes	complemented
19	C₂×#103×C₄₃	C₂²	1	4	yes	complemented
20	C₂×C₂²⋊C₈×C₄₃	—	2	4	no	—
21	C₂×C₂²⋊C₈×C₄₃	C₂²	1	2	yes	—
22	C₂×C₂²⋊C₈×C₄₃	C₂²	1	2	yes	—
23	C₄₃×#385	—	2	2	no	—
24	C₄₃×#385	—	2	4	no	—
25	C₄₃×#380	C₂²	1	2	yes	—
26	C₄₃×#380	C₂²	1	4	yes	—
27	C₄₃×#379	—	2	2	no	—
28	C₄₃×#340	C₂²	1	2	yes	complemented
29	C₄₃×#340	C₂²	1	4	yes	complemented
30	C₂⁵×C₄₃	D₄	1	1	yes	characteristic
31	C₂²×Q₈×C₄₃	C₂³	1	2	yes	—
32	C₂³×C₄×C₄₃	—	2	2	no	—
33	C₂³×C₄×C₄₃	—	2	2	no	—
34	C₂³×C₄×C₄₃	—	4	2	no	—
35	C₂³×C₄×C₄₃	—	4	2	no	—
36	C₂³×C₄×C₄₃	D₄	1	2	yes	—
37	C₂³×C₄×C₄₃	D₄	1	1	yes	characteristic
38	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
39	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
40	C₂×Q₁₆×C₄₃	—	2	2	no	—
41	C₂×Q₁₆×C₄₃	—	4	2	no	—
42	C₂²×C₈×C₄₃	—	2	2	no	—
43	C₂²×C₈×C₄₃	—	4	2	no	—
44	C₂²×C₈×C₄₃	—	4	2	no	—
45	C₂²×C₈×C₄₃	D₄	1	4	yes	—
46	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
47	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
48	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
49	C₂²⋊Q₈×C₄₃	—	2	4	no	—
50	C₂²⋊Q₈×C₄₃	—	2	4	no	—
51	C₂²⋊Q₈×C₄₃	—	4	4	no	—
52	C₂²⋊Q₈×C₄₃	—	4	4	no	—
53	C₂×C₄⋊C₄×C₄₃	—	2	4	no	—
54	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
55	C₂×C₄⋊C₄×C₄₃	C₂³	1	4	yes	—
56	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
57	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
58	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
59	C₂×C₂²⋊C₄×C₄₃	—	2	4	no	—
60	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
61	#107×C₄₃	—	2	2	no	—
62	#106×C₄₃	—	4	2	no	—
63	#103×C₄₃	—	2	4	no	—
64	#103×C₄₃	—	4	4	no	—
65	C₂²⋊C₈×C₄₃	—	2	4	no	—
66	C₂²⋊C₈×C₄₃	—	2	4	no	—
67	#95×C₄₃	—	2	4	no	—
68	#95×C₄₃	—	2	2	no	—
69	C₂⁴×C₄₃	—	2	2	no	—
70	C₂⁴×C₄₃	—	2	4	no	—
71	C₂⁴×C₄₃	—	2	4	no	—
72	C₂⁴×C₄₃	—	4	2	no	—
73	C₂⁴×C₄₃	C₂×D₄	1	2	yes	—
74	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
75	C₂×Q₈×C₄₃	—	2	2	no	—
76	C₂×Q₈×C₄₃	—	2	2	no	—
77	C₂×Q₈×C₄₃	—	2	4	no	—
78	C₂×Q₈×C₄₃	—	2	4	no	—
79	C₂²×C₄×C₄₃	—	2	2	no	—
80	C₂²×C₄×C₄₃	—	2	2	no	—
81	C₂²×C₄×C₄₃	—	2	4	no	—
82	C₂²×C₄×C₄₃	—	2	2	no	—
83	C₂²×C₄×C₄₃	—	2	2	no	—
84	C₂²×C₄×C₄₃	—	2	4	no	—
85	C₂²×C₄×C₄₃	—	2	4	no	—
86	C₂²×C₄×C₄₃	—	2	2	no	—
87	C₂²×C₄×C₄₃	—	2	2	no	—
88	C₂²×C₄×C₄₃	—	2	4	no	—
89	C₂²×C₄×C₄₃	—	2	2	no	—
90	C₂²×C₄×C₄₃	—	4	2	no	—
91	C₂²×C₄×C₄₃	—	4	4	no	—
92	C₂²×C₄×C₄₃	—	4	4	no	—
93	C₂²×C₄×C₄₃	—	4	4	no	—
94	C₂²×C₄×C₄₃	—	4	8	no	—
95	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
96	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
97	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₄₃	#41	1	2	yes	—
99	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
100	Q₁₆×C₄₃	—	4	4	no	—
101	C₂×C₈×C₄₃	—	2	2	no	—
102	C₂×C₈×C₄₃	—	2	2	no	—
103	C₂×C₈×C₄₃	—	2	2	no	—
104	C₂×C₈×C₄₃	—	2	4	no	—
105	C₂×C₈×C₄₃	—	4	4	no	—
106	C₂×C₈×C₄₃	—	4	4	no	—
107	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
108	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
109	C₄⋊C₄×C₄₃	—	2	2	no	—
110	C₄⋊C₄×C₄₃	—	2	2	no	—
111	C₄⋊C₄×C₄₃	—	2	4	no	—
112	C₄⋊C₄×C₄₃	—	2	4	no	—
113	C₄⋊C₄×C₄₃	—	4	8	no	—
114	C₄⋊C₄×C₄₃	—	4	4	no	—
115	C₂²⋊C₄×C₄₃	—	4	8	no	—
116	C₂²⋊C₄×C₄₃	—	4	4	no	—
117	C₂²⋊C₄×C₄₃	—	4	8	no	—
118	C₂²⋊C₄×C₄₃	—	4	4	no	—
119	C₂³×C₄₃	—	2	2	no	—
120	C₂³×C₄₃	—	2	2	no	—
121	C₂³×C₄₃	—	2	8	no	—
122	C₂³×C₄₃	—	2	2	no	—
123	C₂³×C₄₃	—	2	4	no	—
124	C₂³×C₄₃	—	2	2	no	—
125	C₂³×C₄₃	—	2	4	no	—
126	C₂³×C₄₃	—	4	16	no	—
127	C₂³×C₄₃	—	4	4	no	—
128	C₂³×C₄₃	—	4	4	no	—
129	C₂³×C₄₃	#121	1	2	yes	—
130	C₂³×C₄₃	#135	1	4	yes	—
131	C₂³×C₄₃	#137	1	4	yes	—
132	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
133	Q₈×C₄₃	—	4	2	no	—
134	Q₈×C₄₃	—	4	2	no	—
135	Q₈×C₄₃	—	4	4	no	—
136	C₂×C₄×C₄₃	—	2	2	no	—
137	C₂×C₄×C₄₃	—	2	2	no	—
138	C₂×C₄×C₄₃	—	2	2	no	—
139	C₂×C₄×C₄₃	—	2	4	no	—
140	C₂×C₄×C₄₃	—	2	2	no	—
141	C₂×C₄×C₄₃	—	2	4	no	—
142	C₂×C₄×C₄₃	—	4	8	no	—
143	C₂×C₄×C₄₃	—	4	4	no	—
144	C₂×C₄×C₄₃	—	4	2	no	—
145	C₂×C₄×C₄₃	—	4	2	no	—
146	C₂×C₄×C₄₃	—	4	4	no	—
147	C₂×C₄×C₄₃	—	4	2	no	—
148	C₂×C₄×C₄₃	—	4	2	no	—
149	C₂×C₄×C₄₃	—	4	4	no	—
150	C₂×C₄×C₄₃	—	4	4	no	—
151	C₂×C₄×C₄₃	—	4	4	no	—
152	C₂×C₄×C₄₃	—	4	4	no	—
153	C₂×C₄×C₄₃	—	4	4	no	—
154	C₂×C₄×C₄₃	#121	1	2	yes	—
155	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
156	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
157	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
158	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
159	C₈×C₄₃	—	2	2	no	—
160	C₈×C₄₃	—	2	2	no	—
161	C₈×C₄₃	—	4	2	no	—
162	#29733	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
163	C₂²×C₄₃	—	2	2	no	—
164	C₂²×C₄₃	—	2	8	no	—
165	C₂²×C₄₃	—	2	2	no	—
166	C₂²×C₄₃	—	2	8	no	—
167	C₂²×C₄₃	—	2	4	no	—
168	C₂²×C₄₃	—	4	16	no	—
169	C₂²×C₄₃	—	4	2	no	—
170	C₂²×C₄₃	—	4	4	no	—
171	C₂²×C₄₃	—	4	2	no	—
172	C₂²×C₄₃	#470	1	4	yes	—
173	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
174	C₂²×C₄₃	#534	1	2	yes	—
175	C₂²×C₄₃	C₂×#135	1	2	yes	—
176	C₂²×C₄₃	C₂×#137	1	2	yes	—
177	C₄×C₄₃	—	2	2	no	—
178	C₄×C₄₃	—	4	2	no	—
179	C₄×C₄₃	—	8	2	no	—
180	C₄×C₄₃	—	8	4	no	—
181	C₄×C₄₃	—	8	2	no	—
182	C₄×C₄₃	#534	1	1	yes	characteristic
183	C₄×C₄₃	#535	1	1	yes	characteristic
184	C₄×C₄₃	#538	1	2	yes	—
185	C₂×#467	C₂×C₄₃	1	1	yes	characteristic, complemented
186	C₂²×C₂²⋊C₈	C₂×C₄₃	1	1	yes	characteristic
187	#2848	C₂×C₄₃	1	2	yes	—
188	#2075	C₂×C₄₃	1	2	yes	complemented
189	#2035	C₂×C₄₃	1	4	yes	complemented
190	#2001	C₂×C₄₃	1	2	yes	complemented
191	#1892	C₂×C₄₃	1	2	yes	complemented
192	#1807	C₂×C₄₃	1	1	yes	characteristic, complemented
193	C₂×C₄₃	—	2	4	no	—
194	C₂×C₄₃	—	4	4	no	—
195	C₂×C₄₃	#2617	1	1	yes	characteristic
196	C₂×C₄₃	#3050	1	1	yes	characteristic
197	C₂×C₄₃	C₂×#470	1	1	yes	characteristic
198	C₂×C₄₃	#3190	1	4	yes	—
199	C₂⁴×C₄	C₂²×C₄₃	1	1	yes	characteristic
200	C₂²×Q₁₆	C₂²×C₄₃	1	1	yes	characteristic, complemented
201	C₂³×C₈	C₂²×C₄₃	1	1	yes	characteristic
202	C₂³×C₈	C₂²×C₄₃	1	1	yes	characteristic
203	C₂×C₂²⋊Q₈	C₂²×C₄₃	1	2	yes	—
204	C₂×C₂²⋊Q₈	C₂²×C₄₃	1	4	yes	—
205	#467	—	2	4	no	—
206	C₂×#107	C₂²×C₄₃	1	1	yes	characteristic, complemented
207	C₂×#106	C₂²×C₄₃	1	2	yes	complemented
208	C₂×#103	C₂²×C₄₃	1	2	yes	complemented
209	C₂×#103	C₂²×C₄₃	1	4	yes	complemented
210	C₂×C₂²⋊C₈	—	2	4	no	—
211	C₂×C₂²⋊C₈	C₂²×C₄₃	1	2	yes	—
212	C₂×C₂²⋊C₈	C₂²×C₄₃	1	2	yes	—
213	#385	—	2	2	no	—
214	#385	—	2	4	no	—
215	#380	C₂²×C₄₃	1	2	yes	—
216	#380	C₂²×C₄₃	1	4	yes	—
217	#379	—	2	2	no	—
218	#340	C₂²×C₄₃	1	2	yes	complemented
219	#340	C₂²×C₄₃	1	4	yes	complemented
220	C₄₃	#29733	1	1	yes	characteristic, direct product factor, Sylow
221	C₂⁵	D₄×C₄₃	1	1	yes	characteristic
222	C₂²×Q₈	C₂³×C₄₃	1	2	yes	—
223	C₂³×C₄	—	2	2	no	—
224	C₂³×C₄	—	2	2	no	—
225	C₂³×C₄	—	4	2	no	—
226	C₂³×C₄	—	4	2	no	—
227	C₂³×C₄	D₄×C₄₃	1	1	yes	characteristic
228	C₂³×C₄	D₄×C₄₃	1	2	yes	—
229	C₂³×C₄	C₂³×C₄₃	1	2	yes	—
230	C₂³×C₄	C₂³×C₄₃	1	1	yes	characteristic
231	C₂×Q₁₆	—	2	2	no	—
232	C₂×Q₁₆	—	4	2	no	—
233	C₂²×C₈	—	2	2	no	—
234	C₂²×C₈	—	4	2	no	—
235	C₂²×C₈	—	4	2	no	—
236	C₂²×C₈	D₄×C₄₃	1	4	yes	—
237	C₂²×C₈	C₂³×C₄₃	1	2	yes	—
238	C₂²×C₈	C₂³×C₄₃	1	1	yes	characteristic
239	C₂²×C₈	C₂³×C₄₃	1	1	yes	characteristic
240	C₂²⋊Q₈	—	2	4	no	—
241	C₂²⋊Q₈	—	2	4	no	—
242	C₂²⋊Q₈	—	4	4	no	—
243	C₂²⋊Q₈	—	4	4	no	—
244	C₂×C₄⋊C₄	—	2	4	no	—
245	C₂×C₄⋊C₄	—	2	2	no	—
246	C₂×C₄⋊C₄	C₂³×C₄₃	1	4	yes	—
247	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
248	C₂×C₂²⋊C₄	—	2	4	no	—
249	C₂×C₂²⋊C₄	—	2	2	no	—
250	C₂×C₂²⋊C₄	—	2	4	no	—
251	C₂×C₂²⋊C₄	—	2	2	no	—
252	#107	—	2	2	no	—
253	#106	—	4	2	no	—
254	#103	—	2	4	no	—
255	#103	—	4	4	no	—
256	C₂²⋊C₈	—	2	4	no	—
257	C₂²⋊C₈	—	2	4	no	—
258	#95	—	2	4	no	—
259	#95	—	2	2	no	—
260	C₂⁴	—	2	2	no	—
261	C₂⁴	—	2	4	no	—
262	C₂⁴	—	2	4	no	—
263	C₂⁴	—	4	2	no	—
264	C₂⁴	C₂×D₄×C₄₃	1	2	yes	—
265	C₂⁴	C₂×D₄×C₄₃	1	1	yes	characteristic
266	C₂×Q₈	—	2	2	no	—
267	C₂×Q₈	—	2	2	no	—
268	C₂×Q₈	—	2	4	no	—
269	C₂×Q₈	—	2	4	no	—
270	C₂²×C₄	—	2	2	no	—
271	C₂²×C₄	—	2	2	no	—
272	C₂²×C₄	—	2	2	no	—
273	C₂²×C₄	—	2	4	no	—
274	C₂²×C₄	—	2	2	no	—
275	C₂²×C₄	—	2	2	no	—
276	C₂²×C₄	—	2	4	no	—
277	C₂²×C₄	—	2	4	no	—
278	C₂²×C₄	—	2	2	no	—
279	C₂²×C₄	—	2	4	no	—
280	C₂²×C₄	—	2	2	no	—
281	C₂²×C₄	—	4	4	no	—
282	C₂²×C₄	—	4	2	no	—
283	C₂²×C₄	—	4	4	no	—
284	C₂²×C₄	—	4	4	no	—
285	C₂²×C₄	—	4	8	no	—
286	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
287	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
288	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
289	C₂²×C₄	#41×C₄₃	1	2	yes	—
290	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
291	Q₁₆	—	4	4	no	—
292	C₂×C₈	—	2	2	no	—
293	C₂×C₈	—	2	2	no	—
294	C₂×C₈	—	2	2	no	—
295	C₂×C₈	—	2	4	no	—
296	C₂×C₈	—	4	4	no	—
297	C₂×C₈	—	4	4	no	—
298	C₂×C₈	C₂×D₄×C₄₃	1	2	yes	—
299	C₂×C₈	C₂×D₄×C₄₃	1	2	yes	—
300	C₄⋊C₄	—	2	2	no	—
301	C₄⋊C₄	—	2	2	no	—
302	C₄⋊C₄	—	2	4	no	—
303	C₄⋊C₄	—	2	4	no	—
304	C₄⋊C₄	—	4	8	no	—
305	C₄⋊C₄	—	4	4	no	—
306	C₂²⋊C₄	—	4	8	no	—
307	C₂²⋊C₄	—	4	4	no	—
308	C₂²⋊C₄	—	4	8	no	—
309	C₂²⋊C₄	—	4	4	no	—
310	C₂³	—	2	2	no	—
311	C₂³	—	2	2	no	—
312	C₂³	—	2	8	no	—
313	C₂³	—	2	2	no	—
314	C₂³	—	2	4	no	—
315	C₂³	—	2	2	no	—
316	C₂³	—	2	4	no	—
317	C₂³	—	4	16	no	—
318	C₂³	—	4	4	no	—
319	C₂³	—	4	4	no	—
320	C₂³	#121×C₄₃	1	2	yes	—
321	C₂³	#135×C₄₃	1	4	yes	—
322	C₂³	#137×C₄₃	1	4	yes	—
323	C₂³	C₂²×D₄×C₄₃	1	1	yes	characteristic
324	Q₈	—	4	2	no	—
325	Q₈	—	4	2	no	—
326	Q₈	—	4	4	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	2	2	no	—
330	C₂×C₄	—	2	4	no	—
331	C₂×C₄	—	2	2	no	—
332	C₂×C₄	—	2	4	no	—
333	C₂×C₄	—	4	8	no	—
334	C₂×C₄	—	4	4	no	—
335	C₂×C₄	—	4	2	no	—
336	C₂×C₄	—	4	2	no	—
337	C₂×C₄	—	4	4	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	4	no	—
341	C₂×C₄	—	4	4	no	—
342	C₂×C₄	—	4	4	no	—
343	C₂×C₄	—	4	4	no	—
344	C₂×C₄	—	4	4	no	—
345	C₂×C₄	#121×C₄₃	1	2	yes	—
346	C₂×C₄	C₂²×D₄×C₄₃	1	1	yes	characteristic
347	C₂×C₄	C₂×#41×C₄₃	1	1	yes	characteristic
348	C₂×C₄	H(5,𝔽₂)×C₄₃	1	2	yes	—
349	C₂×C₄	H(5,𝔽₂)×C₄₃	1	2	yes	—
350	C₈	—	2	2	no	—
351	C₈	—	2	2	no	—
352	C₈	—	4	2	no	—
353	C₂²	—	2	2	no	—
354	C₂²	—	2	8	no	—
355	C₂²	—	2	2	no	—
356	C₂²	—	2	8	no	—
357	C₂²	—	2	4	no	—
358	C₂²	—	4	16	no	—
359	C₂²	—	4	2	no	—
360	C₂²	—	4	4	no	—
361	C₂²	—	4	2	no	—
362	C₂²	C₄₃×#470	1	4	yes	—
363	C₂²	C₂×#121×C₄₃	1	1	yes	characteristic
364	C₂²	C₄₃×#534	1	2	yes	—
365	C₂²	C₂×#135×C₄₃	1	2	yes	—
366	C₂²	C₂×#137×C₄₃	1	2	yes	—
367	C₄	—	2	2	no	—
368	C₄	—	4	2	no	—
369	C₄	—	8	2	no	—
370	C₄	—	8	4	no	—
371	C₄	—	8	2	no	—
372	C₄	C₄₃×#534	1	1	yes	characteristic
373	C₄	C₄₃×#535	1	1	yes	characteristic
374	C₄	C₄₃×#538	1	2	yes	—
375	C₂	—	2	4	no	—
376	C₂	—	4	4	no	—
377	C₂	C₄₃×#2617	1	1	yes	characteristic
378	C₂	C₄₃×#3050	1	1	yes	characteristic
379	C₂	C₂×C₄₃×#470	1	1	yes	characteristic
380	C₂	C₄₃×#3190	1	4	yes	—

	subgroup	G/H
center, socle	C₂³×C₄₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₃
prime radical	C₂⁵×C₄₃	D₄
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
1. C₂×C₄₃×#467	C₂	semidirect
4. C₄₃×#2075	C₂	semidirect
5. C₄₃×#2035	C₂	semidirect
6. C₄₃×#2001	C₂	semidirect
7. C₄₃×#1892	C₂	semidirect
8. C₄₃×#1807	C₂	semidirect
10. C₂²×Q₁₆×C₄₃	C₂²	semidirect
16. C₂×#107×C₄₃	C₂²	semidirect
17. C₂×#106×C₄₃	C₂²	semidirect
18. C₂×#103×C₄₃	C₂²	semidirect
19. C₂×#103×C₄₃	C₂²	semidirect
28. C₄₃×#340	C₂²	semidirect
29. C₄₃×#340	C₂²	semidirect
162. #29733	C₄₃	direct (N × H)
185. C₂×#467	C₂×C₄₃	semidirect
188. #2075	C₂×C₄₃	semidirect
189. #2035	C₂×C₄₃	semidirect
190. #2001	C₂×C₄₃	semidirect
191. #1892	C₂×C₄₃	semidirect
192. #1807	C₂×C₄₃	semidirect
200. C₂²×Q₁₆	C₂²×C₄₃	semidirect
206. C₂×#107	C₂²×C₄₃	semidirect
207. C₂×#106	C₂²×C₄₃	semidirect
208. C₂×#103	C₂²×C₄₃	semidirect
209. C₂×#103	C₂²×C₄₃	semidirect
218. #340	C₂²×C₄₃	semidirect
219. #340	C₂²×C₄₃	semidirect
220. C₄₃	#29733	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×#467	2
C₂²×C₂²⋊C₈×C₄₃	2
C₄₃×#2848	2
C₄₃×#2075	2
C₄₃×#2035	2
C₄₃×#2001	2
C₄₃×#1892	2
C₄₃×#1807	2
#29733	43

Subgroups — C43×#29733 #24949750

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#29733 #24949750