Subgroups — D₄₃×#2263 #25254727

Order 11008.

502 conjugacy classes of subgroups.

The subgroup lattice has 394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#508×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₁₆×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#19136910	C₂	1	1	yes	maximal, characteristic, complemented
4	#19136909	C₂	1	2	yes	maximal, complemented
5	#19136908	C₂	1	1	yes	maximal, characteristic, complemented
6	#19136907	C₂	1	1	yes	maximal, characteristic, complemented
7	#19136906	C₂	1	2	yes	maximal, complemented
8	SD₆₄×D₄₃	C₂	1	2	yes	maximal, complemented
9	D₃₂×D₄₃	C₂	1	2	yes	maximal, complemented
10	M₆₄×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#2263	C₂	1	1	yes	maximal, characteristic, complemented
12	#135×D₄₃	—	2	1	no	—
13	C₂×D₈×D₄₃	—	2	1	no	—
14	#14583332	C₂²	1	1	yes	characteristic, complemented
15	#14583331	C₂²	1	1	yes	characteristic, complemented
16	#14583330	—	2	1	no	—
17	#14583329	—	2	1	no	—
18	#14583328	C₂²	1	1	yes	characteristic, complemented
19	Q₃₂×D₄₃	C₂²	1	1	yes	characteristic, complemented
20	SD₃₂×D₄₃	—	2	1	no	—
21	C₂×D₆₈₈	C₂²	1	1	yes	characteristic, complemented
22	C₂×#13063266	—	2	1	no	—
23	D₁₆×D₄₃	—	2	1	no	—
24	D₁₆×D₄₃	—	2	1	no	—
25	D₁₆×D₄₃	C₂²	1	2	yes	—
26	D₁₆×D₄₃	C₂²	1	2	yes	complemented
27	D₁₆×D₄₃	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₁₆×D₄₃	C₂²	1	1	yes	characteristic
29	#14582738	C₂²	1	2	yes	complemented
30	#14582737	C₂²	1	2	yes	complemented
31	#14582736	C₂²	1	2	yes	complemented
32	D₁₃₇₆	C₂²	1	2	yes	complemented
33	#14582734	C₂²	1	2	yes	complemented
34	#14582734	C₂²	1	2	yes	complemented
35	#14582733	C₂²	1	1	yes	characteristic, complemented
36	#14582732	C₂²	1	2	yes	complemented
37	C₃₂×D₄₃	C₂²	1	2	yes	complemented
38	C₄₃×#508	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
40	C₄₃×SD₆₄	C₂²	1	2	yes	complemented
41	C₄₃×D₃₂	C₂²	1	2	yes	complemented
42	C₄₃×M₆₄	C₂²	1	1	yes	characteristic, complemented
43	#41×D₄₃	—	4	1	no	—
44	C₂×D₄×D₄₃	—	4	1	no	—
45	#13063348	—	2	1	no	—
46	#13063347	—	2	1	no	—
47	#13063346	—	4	1	no	—
48	#13063345	—	4	1	no	—
49	#13063344	—	2	1	no	—
50	Q₁₆×D₄₃	—	2	1	no	—
51	SD₁₆×D₄₃	—	4	1	no	—
52	C₂×D₃₄₄	—	2	1	no	—
53	C₂×#10621882	—	4	1	no	—
54	D₈×D₄₃	—	2	2	no	—
55	D₈×D₄₃	—	2	2	no	—
56	D₈×D₄₃	—	2	1	no	—
57	D₈×D₄₃	—	4	1	no	—
58	D₈×D₄₃	—	4	1	no	—
59	C₂×C₈×D₄₃	D₄	1	1	yes	characteristic
60	Dic₃₄₄	C₂³	1	1	yes	characteristic, complemented
61	#13063271	—	2	1	no	—
62	#13063270	—	2	1	no	—
63	#13063269	—	2	1	no	—
64	#13063268	—	2	1	no	—
65	D₆₈₈	—	2	1	no	—
66	D₆₈₈	C₂³	1	2	yes	—
67	D₆₈₈	C₂³	1	1	yes	characteristic, complemented
68	#13063266	—	2	2	no	—
69	#13063266	—	2	2	no	—
70	#13063266	—	2	1	no	—
71	C₂×C₄₃⋊C₁₆	D₄	1	1	yes	characteristic
72	C₁₆×D₄₃	D₄	1	1	yes	characteristic
73	C₁₆×D₄₃	D₄	1	1	yes	characteristic
74	C₁₆×D₄₃	C₂³	1	1	yes	characteristic
75	C₁₆×D₄₃	C₂³	1	1	yes	characteristic
76	C₄₃⋊C₃₂	C₂³	1	2	yes	complemented
77	#135×C₄₃	—	2	1	no	—
78	C₂×D₈×C₄₃	—	2	1	no	—
79	Q₃₂×C₄₃	C₂³	1	1	yes	characteristic, complemented
80	SD₃₂×C₄₃	—	2	1	no	—
81	D₁₆×C₄₃	—	2	1	no	—
82	D₁₆×C₄₃	C₂³	1	2	yes	—
83	D₁₆×C₄₃	C₂³	1	1	yes	characteristic, complemented
84	C₂×C₁₆×C₄₃	C₂³	1	1	yes	characteristic
85	C₃₂×C₄₃	C₂³	1	2	yes	complemented
86	C₂³×D₄₃	—	8	1	no	—
87	#41×C₄₃	—	4	1	no	—
88	C₂×D₄×C₄₃	—	4	1	no	—
89	C₂×C₂²⋊D₄₃	—	8	1	no	—
90	#10621902	—	4	1	no	—
91	Q₈×D₄₃	—	4	1	no	—
92	#10621900	—	4	1	no	—
93	#10621900	—	8	1	no	—
94	D₄×D₄₃	—	4	2	no	—
95	D₄×D₄₃	—	4	2	no	—
96	D₄×D₄₃	—	4	1	no	—
97	D₄×D₄₃	—	8	1	no	—
98	D₄×D₄₃	—	8	1	no	—
99	D₄×D₄₃	—	8	1	no	—
100	#10621898	—	4	1	no	—
101	#10621898	—	8	1	no	—
102	C₂×D₁₇₂	—	4	1	no	—
103	C₂×C₄×D₄₃	—	8	1	no	—
104	C₂×C₄×D₄₃	D₈	1	1	yes	characteristic
105	Q₁₆×C₄₃	—	2	1	no	—
106	SD₁₆×C₄₃	—	4	1	no	—
107	D₈×C₄₃	—	2	2	no	—
108	D₈×C₄₃	—	2	1	no	—
109	D₈×C₄₃	—	4	1	no	—
110	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
111	#10621885	—	4	1	no	—
112	#10621884	—	4	1	no	—
113	#10621883	—	4	1	no	—
114	#10621882	—	4	2	no	—
115	#10621882	—	4	2	no	—
116	#10621882	—	4	1	no	—
117	C₂×C₄₃⋊C₈	D₈	1	1	yes	characteristic
118	Dic₁₇₂	—	2	1	no	—
119	D₃₄₄	—	2	2	no	—
120	D₃₄₄	—	2	1	no	—
121	D₃₄₄	—	4	1	no	—
122	#10621873	—	4	1	no	—
123	C₈×D₄₃	D₈	1	1	yes	characteristic
124	C₈×D₄₃	D₈	1	1	yes	characteristic
125	C₈×D₄₃	C₂×D₄	1	1	yes	characteristic
126	C₈×D₄₃	C₂×D₄	1	1	yes	characteristic
127	C₁₆×C₄₃	C₂×D₄	1	1	yes	characteristic
128	C₁₆×C₄₃	C₂⁴	1	1	yes	characteristic
129	C₄₃⋊C₁₆	C₂×D₄	1	1	yes	characteristic
130	C₄₃⋊C₁₆	C₂×D₄	1	1	yes	characteristic
131	C₂³×C₄₃	—	8	1	no	—
132	C₂²×D₄₃	—	8	1	no	—
133	C₂²×D₄₃	—	8	1	no	—
134	C₂²×D₄₃	—	8	2	no	—
135	C₂²×D₄₃	—	8	2	no	—
136	C₂²×D₄₃	—	16	4	no	—
137	C₂²×D₄₃	D₁₆	1	1	yes	characteristic
138	Q₈×C₄₃	—	4	1	no	—
139	D₄×C₄₃	—	4	2	no	—
140	D₄×C₄₃	—	4	1	no	—
141	D₄×C₄₃	—	8	1	no	—
142	D₄×C₄₃	—	8	1	no	—
143	C₂×C₄×C₄₃	—	8	1	no	—
144	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
145	C₂²⋊D₄₃	—	8	1	no	—
146	C₂²⋊D₄₃	—	8	1	no	—
147	C₂²⋊D₄₃	—	8	1	no	—
148	C₂²⋊D₄₃	—	8	2	no	—
149	C₂²⋊D₄₃	—	8	2	no	—
150	C₂×Dic₄₃	—	8	1	no	—
151	C₂×Dic₄₃	D₁₆	1	1	yes	characteristic
152	D₁₇₂	—	4	1	no	—
153	D₁₇₂	—	4	2	no	—
154	D₁₇₂	—	8	1	no	—
155	D₁₇₂	—	8	1	no	—
156	C₄×D₄₃	—	8	1	no	—
157	C₄×D₄₃	—	8	1	no	—
158	C₄×D₄₃	—	8	1	no	—
159	C₄×D₄₃	D₁₆	1	1	yes	characteristic
160	C₄×D₄₃	D₁₆	1	1	yes	characteristic
161	C₄×D₄₃	C₂×D₈	1	1	yes	characteristic
162	C₄×D₄₃	C₂×D₈	1	1	yes	characteristic
163	Dic₈₆	—	4	1	no	—
164	Dic₈₆	—	8	1	no	—
165	C₈×C₄₃	C₂×D₈	1	1	yes	characteristic
166	C₈×C₄₃	C₂²×D₄	1	1	yes	characteristic
167	C₄₃⋊C₈	C₂×D₈	1	1	yes	characteristic
168	C₄₃⋊C₈	C₂×D₈	1	1	yes	characteristic
169	C₂×#2263	—	43	1	no	maximal, Sylow
170	C₂²×C₄₃	—	8	2	no	—
171	C₂²×C₄₃	—	8	1	no	—
172	C₂²×C₄₃	—	16	2	no	—
173	C₂²×C₄₃	C₂×D₁₆	1	1	yes	characteristic
174	C₂×D₄₃	—	2	2	no	—
175	C₂×D₄₃	—	8	2	no	—
176	C₂×D₄₃	—	8	1	no	—
177	C₂×D₄₃	—	16	4	no	—
178	C₂×D₄₃	—	16	2	no	—
179	C₂×D₄₃	—	16	2	no	—
180	C₂×D₄₃	—	16	4	no	—
181	C₂×D₄₃	C₂×D₁₆	1	1	yes	characteristic
182	C₂×D₄₃	C₂×D₁₆	1	1	yes	characteristic
183	C₄×C₄₃	—	8	1	no	—
184	C₄×C₄₃	C₂×D₁₆	1	1	yes	characteristic
185	C₄×C₄₃	C₂²×D₈	1	1	yes	characteristic
186	Dic₄₃	—	8	1	no	—
187	Dic₄₃	C₂×D₁₆	1	1	yes	characteristic
188	Dic₄₃	C₂×D₁₆	1	1	yes	characteristic
189	C₂×#508	—	43	1	no	—
190	C₂²×D₁₆	—	43	1	no	—
191	#2263	—	43	1	no	—
192	#2263	—	43	1	no	—
193	#2263	—	43	2	no	—
194	#2263	—	43	2	no	—
195	#2263	—	43	1	no	—
196	#2263	D₄₃	1	1	yes	characteristic, direct product factor
197	C₂×SD₆₄	—	43	2	no	—
198	C₂×D₃₂	—	43	2	no	—
199	C₂×M₆₄	—	43	1	no	—
200	C₂×C₄₃	—	2	1	no	—
201	C₂×C₄₃	—	16	2	no	—
202	C₂×C₄₃	—	16	1	no	—
203	C₂×C₄₃	C₂²×D₁₆	1	1	yes	characteristic
204	D₄₃	—	2	1	no	—
205	D₄₃	—	16	1	no	—
206	D₄₃	—	16	2	no	—
207	D₄₃	#2263	1	2	yes	direct product factor
208	C₂×#135	—	86	1	no	—
209	C₂²×D₈	—	86	1	no	—
210	#508	—	43	1	no	—
211	#508	—	43	1	no	—
212	#508	—	43	1	no	—
213	#508	—	86	1	no	—
214	#508	—	86	1	no	—
215	#508	C₂×D₄₃	1	1	yes	characteristic, complemented
216	C₂×Q₃₂	—	43	1	no	—
217	C₂×SD₃₂	—	86	1	no	—
218	C₂×D₁₆	—	43	2	no	—
219	C₂×D₁₆	—	43	2	no	—
220	C₂×D₁₆	—	43	1	no	—
221	C₂×D₁₆	—	43	1	no	—
222	C₂×D₁₆	—	86	1	no	—
223	C₂×D₁₆	—	86	1	no	—
224	C₂×D₁₆	—	86	1	no	—
225	C₂×D₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
226	C₂²×C₁₆	—	43	1	no	—
227	SD₆₄	—	43	2	no	—
228	SD₆₄	—	43	2	no	—
229	SD₆₄	—	43	2	no	—
230	SD₆₄	C₂×D₄₃	1	2	yes	complemented
231	D₃₂	—	43	2	no	—
232	D₃₂	—	43	2	no	—
233	D₃₂	—	43	2	no	—
234	D₃₂	C₂×D₄₃	1	2	yes	complemented
235	M₆₄	—	43	1	no	—
236	M₆₄	—	43	2	no	—
237	M₆₄	C₂×D₄₃	1	1	yes	characteristic, complemented
238	C₂×C₃₂	—	43	2	no	—
239	C₄₃	C₂×#2263	1	1	yes	characteristic, complemented, Sylow
240	C₂×#41	—	172	1	no	—
241	C₂²×D₄	—	172	1	no	—
242	#135	—	2	1	no	—
243	#135	—	86	1	no	—
244	#135	—	86	1	no	—
245	#135	—	86	1	no	—
246	#135	—	172	1	no	—
247	#135	—	172	1	no	—
248	C₂×Q₁₆	—	86	1	no	—
249	C₂×SD₁₆	—	172	1	no	—
250	C₂×D₈	—	2	1	no	—
251	C₂×D₈	—	86	2	no	—
252	C₂×D₈	—	86	2	no	—
253	C₂×D₈	—	86	1	no	—
254	C₂×D₈	—	86	1	no	—
255	C₂×D₈	—	172	1	no	—
256	C₂×D₈	—	172	1	no	—
257	C₂×D₈	—	172	1	no	—
258	C₂²×C₈	—	43	1	no	—
259	Q₃₂	—	43	1	no	—
260	Q₃₂	—	86	1	no	—
261	Q₃₂	C₂²×D₄₃	1	1	yes	characteristic, complemented
262	SD₃₂	—	2	1	no	—
263	SD₃₂	—	86	1	no	—
264	SD₃₂	—	86	1	no	—
265	SD₃₂	—	86	1	no	—
266	D₁₆	—	2	1	no	—
267	D₁₆	—	43	2	no	—
268	D₁₆	—	43	1	no	—
269	D₁₆	—	86	2	no	—
270	D₁₆	—	86	2	no	—
271	D₁₆	—	86	1	no	—
272	D₁₆	—	86	1	no	—
273	D₁₆	C₂²×D₄₃	1	2	yes	—
274	D₁₆	C₂²×D₄₃	1	1	yes	characteristic, complemented
275	C₂×C₁₆	—	43	1	no	—
276	C₂×C₁₆	—	43	1	no	—
277	C₂×C₁₆	—	43	1	no	—
278	C₂×C₁₆	—	43	1	no	—
279	C₂×C₁₆	—	43	1	no	—
280	C₂×C₁₆	C₂²×D₄₃	1	1	yes	characteristic
281	C₃₂	—	43	2	no	—
282	C₃₂	C₂²×D₄₃	1	2	yes	complemented
283	C₂⁴	—	344	1	no	—
284	#41	—	4	1	no	—
285	#41	—	344	1	no	—
286	#41	—	344	1	no	—
287	#41	—	172	1	no	—
288	#41	—	172	1	no	—
289	#41	—	172	1	no	—
290	C₂×Q₈	—	172	1	no	—
291	C₂×D₄	—	4	1	no	—
292	C₂×D₄	—	344	1	no	—
293	C₂×D₄	—	344	1	no	—
294	C₂×D₄	—	344	1	no	—
295	C₂×D₄	—	344	1	no	—
296	C₂×D₄	—	172	2	no	—
297	C₂×D₄	—	172	2	no	—
298	C₂×D₄	—	172	1	no	—
299	C₂×D₄	—	172	1	no	—
300	C₂²×C₄	—	43	1	no	—
301	C₂²×C₄	—	344	1	no	—
302	Q₁₆	—	2	1	no	—
303	Q₁₆	—	86	1	no	—
304	Q₁₆	—	172	1	no	—
305	SD₁₆	—	4	1	no	—
306	SD₁₆	—	172	1	no	—
307	SD₁₆	—	172	1	no	—
308	SD₁₆	—	172	1	no	—
309	D₈	—	2	2	no	—
310	D₈	—	2	1	no	—
311	D₈	—	4	1	no	—
312	D₈	—	86	2	no	—
313	D₈	—	86	1	no	—
314	D₈	—	172	2	no	—
315	D₈	—	172	2	no	—
316	D₈	—	172	1	no	—
317	D₈	—	172	1	no	—
318	C₂×C₈	—	43	1	no	—
319	C₂×C₈	—	43	1	no	—
320	C₂×C₈	—	43	1	no	—
321	C₂×C₈	—	43	1	no	—
322	C₂×C₈	—	43	1	no	—
323	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
324	C₁₆	—	43	1	no	—
325	C₁₆	—	43	1	no	—
326	C₁₆	D₄×D₄₃	1	1	yes	characteristic
327	C₁₆	C₂³×D₄₃	1	1	yes	characteristic
328	C₂³	—	8	1	no	—
329	C₂³	—	43	1	no	—
330	C₂³	—	344	1	no	—
331	C₂³	—	344	2	no	—
332	C₂³	—	344	2	no	—
333	C₂³	—	344	1	no	—
334	C₂³	—	688	4	no	—
335	Q₈	—	4	1	no	—
336	Q₈	—	344	1	no	—
337	Q₈	—	172	1	no	—
338	D₄	—	4	2	no	—
339	D₄	—	4	1	no	—
340	D₄	—	8	1	no	—
341	D₄	—	8	1	no	—
342	D₄	—	344	1	no	—
343	D₄	—	344	2	no	—
344	D₄	—	344	2	no	—
345	D₄	—	344	1	no	—
346	D₄	—	344	1	no	—
347	D₄	—	344	1	no	—
348	D₄	—	344	1	no	—
349	D₄	—	172	2	no	—
350	D₄	—	172	1	no	—
351	C₂×C₄	—	8	1	no	—
352	C₂×C₄	—	43	1	no	—
353	C₂×C₄	—	43	1	no	—
354	C₂×C₄	—	43	1	no	—
355	C₂×C₄	—	43	1	no	—
356	C₂×C₄	—	43	1	no	—
357	C₂×C₄	—	344	1	no	—
358	C₂×C₄	—	344	1	no	—
359	C₂×C₄	—	344	1	no	—
360	C₂×C₄	—	344	1	no	—
361	C₂×C₄	D₈×D₄₃	1	1	yes	characteristic
362	C₈	—	43	1	no	—
363	C₈	—	43	1	no	—
364	C₈	D₈×D₄₃	1	1	yes	characteristic
365	C₈	C₂×D₄×D₄₃	1	1	yes	characteristic
366	C₂²	—	8	1	no	—
367	C₂²	—	8	2	no	—
368	C₂²	—	16	2	no	—
369	C₂²	—	43	1	no	—
370	C₂²	—	43	1	no	—
371	C₂²	—	86	2	no	—
372	C₂²	—	344	1	no	—
373	C₂²	—	344	2	no	—
374	C₂²	—	688	2	no	—
375	C₂²	—	688	4	no	—
376	C₂²	—	688	2	no	—
377	C₂²	—	688	4	no	—
378	C₂²	D₁₆×D₄₃	1	1	yes	characteristic
379	C₄	—	8	1	no	—
380	C₄	—	43	1	no	—
381	C₄	—	43	1	no	—
382	C₄	—	344	1	no	—
383	C₄	D₁₆×D₄₃	1	1	yes	characteristic
384	C₄	C₂×D₈×D₄₃	1	1	yes	characteristic
385	C₂	—	2	1	no	—
386	C₂	—	16	2	no	—
387	C₂	—	16	1	no	—
388	C₂	—	43	2	no	—
389	C₂	—	86	1	no	—
390	C₂	—	688	2	no	—
391	C₂	—	688	1	no	—
392	C₂	C₂×D₁₆×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂	C₂×D₁₆×D₄₃
commutator, cosocle	C₁₆×C₄₃	C₂⁴
Frattini	C₁₆	C₂³×D₄₃
Fitting	C₄₃×#2263	C₂
socle	C₂×C₄₃	C₂²×D₁₆
hypercenter	#2263	D₄₃
hypocenter	C₄₃	C₂×#2263
LCS	G ▷ C₁₆×C₄₃ ▷ C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ C₂×C₈ ◁ C₂×C₁₆ ◁ #2263

Complements

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

N	H ≅ G/N	type
1. #508×D₄₃	C₂	semidirect
2. C₂×D₁₆×D₄₃	C₂	semidirect
3. #19136910	C₂	semidirect
4. #19136909	C₂	semidirect
5. #19136908	C₂	semidirect
6. #19136907	C₂	semidirect
7. #19136906	C₂	semidirect
8. SD₆₄×D₄₃	C₂	semidirect
9. D₃₂×D₄₃	C₂	semidirect
10. M₆₄×D₄₃	C₂	semidirect
11. C₄₃×#2263	C₂	semidirect
14. #14583332	C₂²	semidirect
15. #14583331	C₂²	semidirect
18. #14583328	C₂²	semidirect
19. Q₃₂×D₄₃	C₂²	semidirect
21. C₂×D₆₈₈	C₂²	semidirect
26. D₁₆×D₄₃	C₂²	semidirect
27. D₁₆×D₄₃	C₂²	semidirect
29. #14582738	C₂²	semidirect
30. #14582737	C₂²	semidirect
31. #14582736	C₂²	semidirect
32. D₁₃₇₆	C₂²	semidirect
33. #14582734	C₂²	semidirect
34. #14582734	C₂²	semidirect
35. #14582733	C₂²	semidirect
36. #14582732	C₂²	semidirect
37. C₃₂×D₄₃	C₂²	semidirect
38. C₄₃×#508	C₂²	semidirect
39. C₂×D₁₆×C₄₃	C₂²	semidirect
40. C₄₃×SD₆₄	C₂²	semidirect
41. C₄₃×D₃₂	C₂²	semidirect
42. C₄₃×M₆₄	C₂²	semidirect
60. Dic₃₄₄	C₂³	semidirect
67. D₆₈₈	C₂³	semidirect
76. C₄₃⋊C₃₂	C₂³	semidirect
79. Q₃₂×C₄₃	C₂³	semidirect
83. D₁₆×C₄₃	C₂³	semidirect
85. C₃₂×C₄₃	C₂³	semidirect
196. #2263	D₄₃	direct (N × H)
207. D₄₃	#2263	direct (N × H)
215. #508	C₂×D₄₃	semidirect
225. C₂×D₁₆	C₂×D₄₃	semidirect
230. SD₆₄	C₂×D₄₃	semidirect
234. D₃₂	C₂×D₄₃	semidirect
237. M₆₄	C₂×D₄₃	semidirect
239. C₄₃	C₂×#2263	semidirect
261. Q₃₂	C₂²×D₄₃	semidirect
274. D₁₆	C₂²×D₄₃	semidirect
282. C₃₂	C₂²×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
#508×D₄₃	2
C₂×D₁₆×D₄₃	2
#19136910	2
#19136909	2
#19136908	2
#19136907	2
#19136906	2
SD₆₄×D₄₃	2
D₃₂×D₄₃	2
M₆₄×D₄₃	2
C₄₃×#2263	2
C₂×#2263	43

Subgroups — D43×#2263 #25254727

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄₃×#2263 #25254727