Subgroups — C₄₃×#29625 #24949642

Order 11008.

2014 conjugacy classes of subgroups.

The subgroup lattice has 384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#127×C₄₃	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄₃×#450	C₂	1	2	yes	maximal, complemented
3	C₄₃×#2855	C₂	1	1	yes	maximal, characteristic, complemented
4	C₄₃×#2041	C₂	1	4	yes	maximal, complemented
5	C₄₃×#2014	C₂	1	4	yes	maximal, complemented
6	C₄₃×#1817	C₂	1	1	yes	maximal, characteristic, complemented
7	C₄₃×#1786	C₂	1	2	yes	maximal, complemented
8	C₂³×D₄×C₄₃	—	2	1	no	—
9	C₂³×D₄×C₄₃	—	2	1	no	—
10	C₂³×D₄×C₄₃	C₂²	1	2	yes	—
11	C₂²×SD₁₆×C₄₃	C₂²	1	4	yes	complemented
12	C₂×#127×C₄₃	—	2	8	no	—
13	C₂×#127×C₄₃	—	2	2	no	—
14	C₂×#127×C₄₃	C₂²	1	4	yes	—
15	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
16	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic
17	C₄₃×#450	—	2	8	no	—
18	C₂×#102×C₄₃	C₂²	1	4	yes	complemented
19	C₂×#102×C₄₃	C₂²	1	8	yes	complemented
20	C₂×C₂²⋊C₈×C₄₃	C₂²	1	2	yes	—
21	C₄₃×#391	C₂²	1	2	yes	complemented
22	C₄₃×#389	C₂²	1	2	yes	complemented
23	C₄₃×#387	—	2	2	no	—
24	C₄₃×#385	—	2	1	no	—
25	C₄₃×#381	—	2	1	no	—
26	C₄₃×#380	C₂²	1	1	yes	characteristic
27	C₄₃×#336	C₂²	1	4	yes	complemented
28	C₂⁵×C₄₃	—	2	2	no	—
29	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
30	C₂²×D₄×C₄₃	—	2	8	no	—
31	C₂²×D₄×C₄₃	—	2	8	no	—
32	C₂²×D₄×C₄₃	—	2	4	no	—
33	C₂²×D₄×C₄₃	—	2	2	no	—
34	C₂²×D₄×C₄₃	—	2	4	no	—
35	C₂²×D₄×C₄₃	—	2	4	no	—
36	C₂²×D₄×C₄₃	—	4	8	no	—
37	C₂²×D₄×C₄₃	—	4	8	no	—
38	C₂²×D₄×C₄₃	—	4	4	no	—
39	C₂²×D₄×C₄₃	—	4	4	no	—
40	C₂²×D₄×C₄₃	D₄	1	8	yes	—
41	C₂²×D₄×C₄₃	C₂³	1	4	yes	—
42	C₂³×C₄×C₄₃	D₄	1	1	yes	characteristic
43	C₂³×C₄×C₄₃	D₄	1	1	yes	characteristic
44	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
45	C₂×SD₁₆×C₄₃	—	2	8	no	—
46	C₂×SD₁₆×C₄₃	—	4	8	no	—
47	C₂²×C₈×C₄₃	C₂³	1	4	yes	—
48	#127×C₄₃	—	2	16	no	—
49	#127×C₄₃	—	2	16	no	—
50	C₂²⋊Q₈×C₄₃	—	2	4	no	—
51	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
52	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
53	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
54	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
55	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
56	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
57	C₂×C₄²×C₄₃	—	2	4	no	—
58	C₂×C₄²×C₄₃	D₄	1	2	yes	—
59	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
60	#102×C₄₃	—	2	8	no	—
61	#102×C₄₃	—	4	8	no	—
62	C₂²⋊C₈×C₄₃	—	2	4	no	—
63	#95×C₄₃	—	2	1	no	—
64	#95×C₄₃	—	2	2	no	—
65	#95×C₄₃	—	2	2	no	—
66	#95×C₄₃	—	2	2	no	—
67	C₂⁴×C₄₃	—	2	8	no	—
68	C₂⁴×C₄₃	—	2	4	no	—
69	C₂⁴×C₄₃	—	4	8	no	—
70	C₂⁴×C₄₃	—	4	8	no	—
71	C₂⁴×C₄₃	—	4	4	no	—
72	C₂⁴×C₄₃	—	4	4	no	—
73	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
74	C₂×Q₈×C₄₃	—	2	2	no	—
75	C₂×Q₈×C₄₃	—	2	4	no	—
76	C₂×D₄×C₄₃	—	2	16	no	—
77	C₂×D₄×C₄₃	—	2	16	no	—
78	C₂×D₄×C₄₃	—	2	8	no	—
79	C₂×D₄×C₄₃	—	2	4	no	—
80	C₂×D₄×C₄₃	—	2	8	no	—
81	C₂×D₄×C₄₃	—	2	8	no	—
82	C₂×D₄×C₄₃	—	4	16	no	—
83	C₂×D₄×C₄₃	—	4	32	no	—
84	C₂×D₄×C₄₃	—	4	16	no	—
85	C₂×D₄×C₄₃	—	4	8	no	—
86	C₂×D₄×C₄₃	—	4	8	no	—
87	C₂×D₄×C₄₃	—	4	8	no	—
88	C₂×D₄×C₄₃	—	4	32	no	—
89	C₂×D₄×C₄₃	—	4	8	no	—
90	C₂×D₄×C₄₃	—	4	8	no	—
91	C₂×D₄×C₄₃	C₂×D₄	1	8	yes	—
92	C₂²×C₄×C₄₃	—	2	4	no	—
93	C₂²×C₄×C₄₃	—	2	4	no	—
94	C₂²×C₄×C₄₃	—	2	2	no	—
95	C₂²×C₄×C₄₃	—	2	2	no	—
96	C₂²×C₄×C₄₃	—	2	2	no	—
97	C₂²×C₄×C₄₃	—	2	2	no	—
98	C₂²×C₄×C₄₃	—	2	1	no	—
99	C₂²×C₄×C₄₃	—	2	1	no	—
100	C₂²×C₄×C₄₃	SD₁₆	1	4	yes	complemented
101	C₂²×C₄×C₄₃	C₂×D₄	1	4	yes	—
102	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
103	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
104	C₂²×C₄×C₄₃	C₂×D₄	1	2	yes	—
105	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
106	SD₁₆×C₄₃	—	4	16	no	—
107	C₂×C₈×C₄₃	—	2	4	no	—
108	C₂×C₈×C₄₃	—	2	8	no	—
109	C₄⋊C₄×C₄₃	—	2	2	no	—
110	C₄⋊C₄×C₄₃	—	2	4	no	—
111	C₄⋊C₄×C₄₃	—	4	2	no	—
112	C₄⋊C₄×C₄₃	—	4	4	no	—
113	C₂²⋊C₄×C₄₃	—	4	2	no	—
114	C₂²⋊C₄×C₄₃	—	4	2	no	—
115	C₄²×C₄₃	—	2	4	no	—
116	C₄²×C₄₃	—	2	4	no	—
117	C₂³×C₄₃	—	2	2	no	—
118	C₂³×C₄₃	—	2	2	no	—
119	C₂³×C₄₃	—	2	8	no	—
120	C₂³×C₄₃	—	4	16	no	—
121	C₂³×C₄₃	—	4	16	no	—
122	C₂³×C₄₃	—	4	8	no	—
123	C₂³×C₄₃	—	4	4	no	—
124	C₂³×C₄₃	—	4	4	no	—
125	C₂³×C₄₃	—	4	8	no	—
126	C₂³×C₄₃	—	4	16	no	—
127	C₂³×C₄₃	—	8	16	no	—
128	C₂³×C₄₃	—	8	16	no	—
129	C₂³×C₄₃	#120	1	2	yes	—
130	C₂³×C₄₃	C₂×SD₁₆	1	2	yes	—
131	C₂³×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
132	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
133	Q₈×C₄₃	—	4	4	no	—
134	D₄×C₄₃	—	2	8	no	—
135	D₄×C₄₃	—	2	8	no	—
136	D₄×C₄₃	—	4	16	no	—
137	D₄×C₄₃	—	4	32	no	—
138	D₄×C₄₃	—	4	32	no	—
139	D₄×C₄₃	—	4	8	no	—
140	C₂×C₄×C₄₃	—	2	8	no	—
141	C₂×C₄×C₄₃	—	2	2	no	—
142	C₂×C₄×C₄₃	—	2	2	no	—
143	C₂×C₄×C₄₃	—	2	2	no	—
144	C₂×C₄×C₄₃	—	2	2	no	—
145	C₂×C₄×C₄₃	—	2	2	no	—
146	C₂×C₄×C₄₃	—	2	8	no	—
147	C₂×C₄×C₄₃	—	2	8	no	—
148	C₂×C₄×C₄₃	—	4	1	no	—
149	C₂×C₄×C₄₃	—	4	1	no	—
150	C₂×C₄×C₄₃	—	4	2	no	—
151	C₂×C₄×C₄₃	—	4	2	no	—
152	C₂×C₄×C₄₃	—	4	2	no	—
153	C₂×C₄×C₄₃	—	4	2	no	—
154	C₂×C₄×C₄₃	—	4	2	no	—
155	C₂×C₄×C₄₃	#120	1	2	yes	—
156	C₂×C₄×C₄₃	C₂×SD₁₆	1	4	yes	—
157	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	4	yes	—
158	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
159	C₂×C₄×C₄₃	H(5,𝔽₂)	1	4	yes	—
160	C₈×C₄₃	—	4	4	no	—
161	#29625	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
162	C₂²×C₄₃	—	2	2	no	—
163	C₂²×C₄₃	—	2	4	no	—
164	C₂²×C₄₃	—	2	4	no	—
165	C₂²×C₄₃	—	2	2	no	—
166	C₂²×C₄₃	—	4	8	no	—
167	C₂²×C₄₃	—	4	8	no	—
168	C₂²×C₄₃	—	4	8	no	—
169	C₂²×C₄₃	—	8	32	no	—
170	C₂²×C₄₃	—	8	8	no	—
171	C₂²×C₄₃	—	8	8	no	—
172	C₂²×C₄₃	#450	1	4	yes	—
173	C₂²×C₄₃	C₂×#120	1	1	yes	characteristic
174	C₂²×C₄₃	#535	1	2	yes	—
175	C₂²×C₄₃	C₂²×SD₁₆	1	1	yes	characteristic
176	C₂²×C₄₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
177	C₂²×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
178	C₄×C₄₃	—	2	2	no	—
179	C₄×C₄₃	—	2	4	no	—
180	C₄×C₄₃	—	2	4	no	—
181	C₄×C₄₃	—	8	1	no	—
182	C₄×C₄₃	—	8	2	no	—
183	C₄×C₄₃	—	8	1	no	—
184	C₄×C₄₃	#534	1	4	yes	—
185	C₂²×#127	C₂×C₄₃	1	1	yes	characteristic
186	C₂×#450	C₂×C₄₃	1	2	yes	complemented
187	#2855	C₂×C₄₃	1	1	yes	characteristic, complemented
188	#2041	C₂×C₄₃	1	4	yes	complemented
189	#2014	C₂×C₄₃	1	4	yes	complemented
190	#1817	C₂×C₄₃	1	1	yes	characteristic, complemented
191	#1786	C₂×C₄₃	1	2	yes	complemented
192	C₂×C₄₃	—	2	4	no	—
193	C₂×C₄₃	—	8	8	no	—
194	C₂×C₄₃	#2613	1	1	yes	characteristic
195	C₂×C₄₃	C₂×#450	1	1	yes	characteristic
196	C₂×C₄₃	#3003	1	1	yes	characteristic
197	C₂×C₄₃	#3208	1	2	yes	—
198	C₂×C₄₃	#3217	1	2	yes	—
199	C₂³×D₄	—	2	1	no	—
200	C₂³×D₄	—	2	1	no	—
201	C₂³×D₄	C₂²×C₄₃	1	2	yes	—
202	C₂²×SD₁₆	C₂²×C₄₃	1	4	yes	complemented
203	C₂×#127	—	2	8	no	—
204	C₂×#127	—	2	2	no	—
205	C₂×#127	C₂²×C₄₃	1	4	yes	—
206	C₂×C₂²⋊Q₈	C₂²×C₄₃	1	1	yes	characteristic
207	C₂²×C₄²	C₂²×C₄₃	1	1	yes	characteristic
208	#450	—	2	8	no	—
209	C₂×#102	C₂²×C₄₃	1	4	yes	complemented
210	C₂×#102	C₂²×C₄₃	1	8	yes	complemented
211	C₂×C₂²⋊C₈	C₂²×C₄₃	1	2	yes	—
212	#391	C₂²×C₄₃	1	2	yes	complemented
213	#389	C₂²×C₄₃	1	2	yes	complemented
214	#387	—	2	2	no	—
215	#385	—	2	1	no	—
216	#381	—	2	1	no	—
217	#380	C₂²×C₄₃	1	1	yes	characteristic
218	#336	C₂²×C₄₃	1	4	yes	complemented
219	C₄₃	#29625	1	1	yes	characteristic, direct product factor, Sylow
220	C₂⁵	—	2	2	no	—
221	C₂²×Q₈	C₂³×C₄₃	1	1	yes	characteristic
222	C₂²×D₄	—	2	8	no	—
223	C₂²×D₄	—	2	8	no	—
224	C₂²×D₄	—	2	2	no	—
225	C₂²×D₄	—	2	4	no	—
226	C₂²×D₄	—	2	4	no	—
227	C₂²×D₄	—	2	4	no	—
228	C₂²×D₄	—	4	8	no	—
229	C₂²×D₄	—	4	4	no	—
230	C₂²×D₄	—	4	8	no	—
231	C₂²×D₄	—	4	4	no	—
232	C₂²×D₄	D₄×C₄₃	1	8	yes	—
233	C₂²×D₄	C₂³×C₄₃	1	4	yes	—
234	C₂³×C₄	D₄×C₄₃	1	1	yes	characteristic
235	C₂³×C₄	D₄×C₄₃	1	1	yes	characteristic
236	C₂³×C₄	C₂³×C₄₃	1	1	yes	characteristic
237	C₂×SD₁₆	—	2	8	no	—
238	C₂×SD₁₆	—	4	8	no	—
239	C₂²×C₈	C₂³×C₄₃	1	4	yes	—
240	#127	—	2	16	no	—
241	#127	—	2	16	no	—
242	C₂²⋊Q₈	—	2	4	no	—
243	C₂×C₄⋊C₄	—	2	1	no	—
244	C₂×C₄⋊C₄	—	2	2	no	—
245	C₂×C₄⋊C₄	C₂³×C₄₃	1	1	yes	characteristic
246	C₂×C₄⋊C₄	C₂³×C₄₃	1	2	yes	—
247	C₂×C₂²⋊C₄	—	2	1	no	—
248	C₂×C₂²⋊C₄	—	2	1	no	—
249	C₂×C₄²	—	2	4	no	—
250	C₂×C₄²	D₄×C₄₃	1	2	yes	—
251	C₂×C₄²	C₂³×C₄₃	1	2	yes	—
252	#102	—	2	8	no	—
253	#102	—	4	8	no	—
254	C₂²⋊C₈	—	2	4	no	—
255	#95	—	2	1	no	—
256	#95	—	2	2	no	—
257	#95	—	2	2	no	—
258	#95	—	2	2	no	—
259	C₂⁴	—	2	8	no	—
260	C₂⁴	—	2	4	no	—
261	C₂⁴	—	4	8	no	—
262	C₂⁴	—	4	8	no	—
263	C₂⁴	—	4	4	no	—
264	C₂⁴	—	4	4	no	—
265	C₂⁴	C₂×D₄×C₄₃	1	1	yes	characteristic
266	C₂×Q₈	—	2	2	no	—
267	C₂×Q₈	—	2	4	no	—
268	C₂×D₄	—	2	16	no	—
269	C₂×D₄	—	2	16	no	—
270	C₂×D₄	—	2	8	no	—
271	C₂×D₄	—	2	4	no	—
272	C₂×D₄	—	2	8	no	—
273	C₂×D₄	—	2	8	no	—
274	C₂×D₄	—	4	16	no	—
275	C₂×D₄	—	4	32	no	—
276	C₂×D₄	—	4	8	no	—
277	C₂×D₄	—	4	8	no	—
278	C₂×D₄	—	4	8	no	—
279	C₂×D₄	—	4	32	no	—
280	C₂×D₄	—	4	16	no	—
281	C₂×D₄	—	4	8	no	—
282	C₂×D₄	—	4	8	no	—
283	C₂×D₄	C₂×D₄×C₄₃	1	8	yes	—
284	C₂²×C₄	—	2	2	no	—
285	C₂²×C₄	—	2	2	no	—
286	C₂²×C₄	—	2	2	no	—
287	C₂²×C₄	—	2	4	no	—
288	C₂²×C₄	—	2	4	no	—
289	C₂²×C₄	—	2	2	no	—
290	C₂²×C₄	—	2	1	no	—
291	C₂²×C₄	—	2	1	no	—
292	C₂²×C₄	SD₁₆×C₄₃	1	4	yes	complemented
293	C₂²×C₄	C₂×D₄×C₄₃	1	1	yes	characteristic
294	C₂²×C₄	C₂×D₄×C₄₃	1	4	yes	—
295	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
296	C₂²×C₄	C₂×D₄×C₄₃	1	2	yes	—
297	C₂²×C₄	C₂⁴×C₄₃	1	1	yes	characteristic
298	SD₁₆	—	4	16	no	—
299	C₂×C₈	—	2	4	no	—
300	C₂×C₈	—	2	8	no	—
301	C₄⋊C₄	—	2	2	no	—
302	C₄⋊C₄	—	2	4	no	—
303	C₄⋊C₄	—	4	2	no	—
304	C₄⋊C₄	—	4	4	no	—
305	C₂²⋊C₄	—	4	2	no	—
306	C₂²⋊C₄	—	4	2	no	—
307	C₄²	—	2	4	no	—
308	C₄²	—	2	4	no	—
309	C₂³	—	2	2	no	—
310	C₂³	—	2	2	no	—
311	C₂³	—	2	8	no	—
312	C₂³	—	4	16	no	—
313	C₂³	—	4	16	no	—
314	C₂³	—	4	8	no	—
315	C₂³	—	4	4	no	—
316	C₂³	—	4	4	no	—
317	C₂³	—	4	8	no	—
318	C₂³	—	4	16	no	—
319	C₂³	—	8	16	no	—
320	C₂³	—	8	16	no	—
321	C₂³	#120×C₄₃	1	2	yes	—
322	C₂³	C₂×SD₁₆×C₄₃	1	2	yes	—
323	C₂³	AGL(1,ℤ/8)×C₄₃	1	2	yes	—
324	C₂³	C₂²×D₄×C₄₃	1	1	yes	characteristic
325	Q₈	—	4	4	no	—
326	D₄	—	2	8	no	—
327	D₄	—	2	8	no	—
328	D₄	—	4	16	no	—
329	D₄	—	4	32	no	—
330	D₄	—	4	32	no	—
331	D₄	—	4	8	no	—
332	C₂×C₄	—	2	8	no	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	2	2	no	—
335	C₂×C₄	—	2	2	no	—
336	C₂×C₄	—	2	2	no	—
337	C₂×C₄	—	2	2	no	—
338	C₂×C₄	—	2	8	no	—
339	C₂×C₄	—	2	8	no	—
340	C₂×C₄	—	4	1	no	—
341	C₂×C₄	—	4	1	no	—
342	C₂×C₄	—	4	2	no	—
343	C₂×C₄	—	4	2	no	—
344	C₂×C₄	—	4	2	no	—
345	C₂×C₄	—	4	2	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	#120×C₄₃	1	2	yes	—
348	C₂×C₄	C₂×SD₁₆×C₄₃	1	4	yes	—
349	C₂×C₄	AGL(1,ℤ/8)×C₄₃	1	4	yes	—
350	C₂×C₄	C₂²×D₄×C₄₃	1	2	yes	—
351	C₂×C₄	H(5,𝔽₂)×C₄₃	1	4	yes	—
352	C₈	—	4	4	no	—
353	C₂²	—	2	2	no	—
354	C₂²	—	2	4	no	—
355	C₂²	—	2	4	no	—
356	C₂²	—	2	2	no	—
357	C₂²	—	4	8	no	—
358	C₂²	—	4	8	no	—
359	C₂²	—	4	8	no	—
360	C₂²	—	8	32	no	—
361	C₂²	—	8	8	no	—
362	C₂²	—	8	8	no	—
363	C₂²	C₄₃×#450	1	4	yes	—
364	C₂²	C₂×#120×C₄₃	1	1	yes	characteristic
365	C₂²	C₄₃×#535	1	2	yes	—
366	C₂²	C₂²×SD₁₆×C₄₃	1	1	yes	characteristic
367	C₂²	C₂×AGL(1,ℤ/8)×C₄₃	1	2	yes	—
368	C₂²	C₂×AGL(1,ℤ/8)×C₄₃	1	1	yes	characteristic
369	C₄	—	2	2	no	—
370	C₄	—	2	4	no	—
371	C₄	—	2	4	no	—
372	C₄	—	8	1	no	—
373	C₄	—	8	2	no	—
374	C₄	—	8	1	no	—
375	C₄	C₄₃×#534	1	4	yes	—
376	C₂	—	2	4	no	—
377	C₂	—	8	8	no	—
378	C₂	C₄₃×#2613	1	1	yes	characteristic
379	C₂	C₂×C₄₃×#450	1	1	yes	characteristic
380	C₂	C₄₃×#3003	1	1	yes	characteristic
381	C₂	C₄₃×#3208	1	2	yes	—
382	C₂	C₄₃×#3217	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₄₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₄₃
prime radical	C₂²×#127×C₄₃	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₄₃ ◁ C₂²×C₄²×C₄₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₄₃×#450	C₂	semidirect
3. C₄₃×#2855	C₂	semidirect
4. C₄₃×#2041	C₂	semidirect
5. C₄₃×#2014	C₂	semidirect
6. C₄₃×#1817	C₂	semidirect
7. C₄₃×#1786	C₂	semidirect
11. C₂²×SD₁₆×C₄₃	C₂²	semidirect
18. C₂×#102×C₄₃	C₂²	semidirect
19. C₂×#102×C₄₃	C₂²	semidirect
21. C₄₃×#391	C₂²	semidirect
22. C₄₃×#389	C₂²	semidirect
27. C₄₃×#336	C₂²	semidirect
100. C₂²×C₄×C₄₃	SD₁₆	semidirect
161. #29625	C₄₃	direct (N × H)
186. C₂×#450	C₂×C₄₃	semidirect
187. #2855	C₂×C₄₃	semidirect
188. #2041	C₂×C₄₃	semidirect
189. #2014	C₂×C₄₃	semidirect
190. #1817	C₂×C₄₃	semidirect
191. #1786	C₂×C₄₃	semidirect
202. C₂²×SD₁₆	C₂²×C₄₃	semidirect
209. C₂×#102	C₂²×C₄₃	semidirect
210. C₂×#102	C₂²×C₄₃	semidirect
212. #391	C₂²×C₄₃	semidirect
213. #389	C₂²×C₄₃	semidirect
218. #336	C₂²×C₄₃	semidirect
219. C₄₃	#29625	direct (N × H)
292. C₂²×C₄	SD₁₆×C₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#127×C₄₃	2
C₂×C₄₃×#450	2
C₄₃×#2855	2
C₄₃×#2041	2
C₄₃×#2014	2
C₄₃×#1817	2
C₄₃×#1786	2
#29625	43

Subgroups — C43×#29625 #24949642

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄₃×#29625 #24949642