Subgroups — D₄₃×#2231 #25251329

Order 11008.

526 conjugacy classes of subgroups.

The subgroup lattice has 428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#499×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
2	#443×D₄₃	C₂	1	1	yes	maximal, characteristic
3	#19136772	C₂	1	1	yes	maximal, characteristic, complemented
4	#19136771	C₂	1	1	yes	maximal, characteristic, complemented
5	#19136770	C₂	1	2	yes	maximal, complemented
6	#19136769	C₂	1	2	yes	maximal, complemented
7	#19136768	C₂	1	1	yes	maximal, characteristic, complemented
8	#365×D₄₃	C₂	1	2	yes	maximal, complemented
9	#364×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
10	#360×D₄₃	C₂	1	2	yes	maximal
11	C₄₃×#2231	C₂	1	1	yes	maximal, characteristic, complemented
12	#135×D₄₃	C₂²	1	1	yes	characteristic
13	#131×D₄₃	—	2	1	no	—
14	#125×D₄₃	—	2	1	no	—
15	M₃₂×D₄₃	C₂²	1	2	yes	—
16	#14583301	C₂²	1	1	yes	characteristic, complemented
17	#14583300	—	2	1	no	—
18	#14583299	C₂²	1	2	yes	complemented
19	#14583298	—	2	1	no	—
20	#14583017	C₂²	1	1	yes	characteristic
21	#14583016	C₂²	1	1	yes	characteristic
22	#14583015	C₂²	1	1	yes	characteristic
23	#14583014	—	2	1	no	—
24	#14583013	—	2	1	no	—
25	#108×D₄₃	C₂²	1	1	yes	characteristic
26	#107×D₄₃	—	2	1	no	—
27	#106×D₄₃	C₂²	1	2	yes	—
28	#104×D₄₃	—	2	1	no	—
29	C₄×C₈×D₄₃	C₂²	1	1	yes	characteristic
30	#14582723	C₂²	1	2	yes	complemented
31	#14582722	C₂²	1	2	yes	complemented
32	#14582721	C₂²	1	2	yes	complemented
33	#14582720	C₂²	1	1	yes	characteristic, complemented
34	#14582719	C₂²	1	2	yes	complemented
35	#14582710	C₂²	1	2	yes	—
36	#14582709	C₂²	1	2	yes	—
37	#14582708	C₂²	1	2	yes	—
38	C₄₃×#499	C₂²	1	1	yes	characteristic, complemented
39	C₄₃×#443	C₂²	1	1	yes	characteristic
40	C₄₃×#365	C₂²	1	2	yes	complemented
41	C₄₃×#364	C₂²	1	1	yes	characteristic, complemented
42	C₄₃×#360	C₂²	1	2	yes	—
43	#41×D₄₃	—	2	1	no	—
44	#13063348	Q₈	1	1	yes	characteristic
45	#13063347	C₂³	1	1	yes	characteristic
46	#13063346	—	2	1	no	—
47	#13063345	—	2	1	no	—
48	#13063344	Q₈	1	1	yes	characteristic
49	Q₁₆×D₄₃	Q₈	1	1	yes	characteristic
50	SD₁₆×D₄₃	—	2	1	no	—
51	D₈×D₄₃	Q₈	1	1	yes	characteristic
52	#13063333	—	2	1	no	—
53	#13063333	—	4	1	no	—
54	#13063332	—	2	1	no	—
55	#13063331	—	2	1	no	—
56	#13063331	—	4	1	no	—
57	M₁₆×D₄₃	—	2	1	no	—
58	M₁₆×D₄₃	—	4	1	no	—
59	C₂×C₈×D₄₃	—	4	1	no	—
60	C₂×C₈×D₄₃	D₄	1	1	yes	characteristic
61	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
62	#13063317	—	2	1	no	—
63	#13063316	—	2	2	no	—
64	#13063315	—	4	2	no	—
65	C₄⋊C₄×D₄₃	—	2	2	no	—
66	C₄⋊C₄×D₄₃	—	4	2	no	—
67	C₄²×D₄₃	D₄	1	1	yes	characteristic
68	#13063265	C₂³	1	2	yes	—
69	#13063264	—	2	2	no	—
70	C₁₆×D₄₃	—	2	2	no	—
71	#13063261	C₂³	1	1	yes	characteristic
72	#13063260	—	2	1	no	—
73	#13063259	—	2	1	no	—
74	#13063258	—	2	2	no	—
75	#13063257	C₂³	1	2	yes	—
76	#13063256	—	2	2	no	—
77	#13063253	—	2	1	no	—
78	#13063252	—	2	1	no	—
79	#13063251	—	2	1	no	—
80	C₄×C₄₃⋊C₈	D₄	1	1	yes	characteristic
81	C₈×Dic₄₃	D₄	1	1	yes	characteristic
82	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
83	#135×C₄₃	C₂³	1	1	yes	characteristic
84	#131×C₄₃	—	2	1	no	—
85	#125×C₄₃	—	2	1	no	—
86	M₃₂×C₄₃	C₂³	1	2	yes	—
87	#108×C₄₃	C₂³	1	1	yes	characteristic
88	#107×C₄₃	—	2	1	no	—
89	#106×C₄₃	C₂³	1	2	yes	—
90	#104×C₄₃	—	2	1	no	—
91	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
92	#41×C₄₃	—	2	1	no	—
93	#10621902	—	2	1	no	—
94	Q₈×D₄₃	—	2	1	no	—
95	#10621900	—	2	1	no	—
96	#10621900	—	4	1	no	—
97	D₄×D₄₃	—	2	1	no	—
98	D₄×D₄₃	—	4	1	no	—
99	#10621898	—	2	1	no	—
100	#10621898	—	4	1	no	—
101	C₂×C₄×D₄₃	—	2	1	no	—
102	C₂×C₄×D₄₃	—	4	1	no	—
103	C₂×C₄×D₄₃	—	4	2	no	—
104	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
105	Q₁₆×C₄₃	C₂×Q₈	1	1	yes	characteristic
106	SD₁₆×C₄₃	—	2	1	no	—
107	D₈×C₄₃	C₂×Q₈	1	1	yes	characteristic
108	M₁₆×C₄₃	—	2	1	no	—
109	M₁₆×C₄₃	—	4	1	no	—
110	C₂×C₈×C₄₃	—	4	1	no	—
111	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
112	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
113	C₄⋊C₄×C₄₃	—	2	2	no	—
114	C₄⋊C₄×C₄₃	—	4	2	no	—
115	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
116	#10621885	—	2	1	no	—
117	#10621884	—	2	1	no	—
118	#10621883	—	2	1	no	—
119	#10621882	—	2	1	no	—
120	C₄⋊Dic₄₃	—	2	2	no	—
121	C₄⋊Dic₄₃	—	4	2	no	—
122	Dic₄₃⋊C₄	—	4	2	no	—
123	Dic₄₃⋊C₄	—	4	2	no	—
124	Dic₄₃⋊C₄	—	4	2	no	—
125	C₄×Dic₄₃	—	2	1	no	—
126	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
127	#10621877	—	2	1	no	—
128	#10621877	—	4	1	no	—
129	C₂×C₄₃⋊C₈	—	4	1	no	—
130	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
131	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
132	Dic₁₇₂	C₂×Q₈	1	1	yes	characteristic
133	D₃₄₄	C₂×Q₈	1	1	yes	characteristic
134	#10621873	—	2	1	no	—
135	#10621872	—	4	1	no	—
136	#10621872	—	4	1	no	—
137	#10621872	—	4	1	no	—
138	C₈×D₄₃	—	4	1	no	—
139	C₈×D₄₃	—	4	1	no	—
140	C₈×D₄₃	—	4	1	no	—
141	C₈×D₄₃	SD₁₆	1	1	yes	characteristic
142	C₈×D₄₃	SD₁₆	1	1	yes	characteristic
143	C₈×D₄₃	SD₁₆	1	1	yes	characteristic
144	C₈×D₄₃	SD₁₆	1	1	yes	characteristic
145	C₈×D₄₃	C₂×Q₈	1	1	yes	characteristic
146	C₈×D₄₃	C₂×Q₈	1	1	yes	characteristic
147	C₈×D₄₃	#41	1	1	yes	characteristic
148	C₈×D₄₃	#41	1	1	yes	characteristic
149	C₁₆×C₄₃	—	2	2	no	—
150	C₄₃⋊C₁₆	—	2	2	no	—
151	C₂²×D₄₃	—	4	1	no	—
152	C₂²×D₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
153	Q₈×C₄₃	—	2	1	no	—
154	D₄×C₄₃	—	2	1	no	—
155	D₄×C₄₃	—	4	1	no	—
156	C₂×C₄×C₄₃	—	2	1	no	—
157	C₂×C₄×C₄₃	—	4	1	no	—
158	C₂×C₄×C₄₃	—	4	2	no	—
159	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
160	C₂²⋊D₄₃	—	4	1	no	—
161	C₂²⋊D₄₃	—	4	1	no	—
162	C₂²⋊D₄₃	—	4	1	no	—
163	C₂×Dic₄₃	—	2	1	no	—
164	C₂×Dic₄₃	—	4	1	no	—
165	C₂×Dic₄₃	—	4	2	no	—
166	C₂×Dic₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
167	D₁₇₂	—	2	1	no	—
168	D₁₇₂	—	4	1	no	—
169	C₄×D₄₃	—	4	2	no	—
170	C₄×D₄₃	—	4	1	no	—
171	C₄×D₄₃	—	4	1	no	—
172	C₄×D₄₃	—	4	1	no	—
173	C₄×D₄₃	—	8	4	no	—
174	C₄×D₄₃	C₂²⋊Q₈	1	1	yes	characteristic
175	C₄×D₄₃	C₂²⋊Q₈	1	1	yes	characteristic
176	C₄×D₄₃	C₂×SD₁₆	1	1	yes	characteristic
177	C₄×D₄₃	C₂×SD₁₆	1	1	yes	characteristic
178	Dic₈₆	—	2	1	no	—
179	Dic₈₆	—	4	1	no	—
180	C₈×C₄₃	—	4	1	no	—
181	C₈×C₄₃	C₂×SD₁₆	1	1	yes	characteristic
182	C₈×C₄₃	C₂×SD₁₆	1	1	yes	characteristic
183	C₈×C₄₃	C₂²×Q₈	1	1	yes	characteristic
184	C₈×C₄₃	C₂×#41	1	1	yes	characteristic
185	C₄₃⋊C₈	—	4	1	no	—
186	C₄₃⋊C₈	C₂²⋊Q₈	1	1	yes	characteristic
187	C₄₃⋊C₈	C₂²⋊Q₈	1	1	yes	characteristic
188	C₄₃⋊C₈	C₂×SD₁₆	1	1	yes	characteristic
189	C₄₃⋊C₈	C₂×SD₁₆	1	1	yes	characteristic
190	C₂×#2231	—	43	1	no	maximal, Sylow
191	C₂²×C₄₃	—	4	1	no	—
192	C₂²×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
193	C₂×D₄₃	—	2	2	no	—
194	C₂×D₄₃	—	4	1	no	—
195	C₂×D₄₃	—	8	2	no	—
196	C₂×D₄₃	#476	1	1	yes	characteristic
197	C₂×D₄₃	#476	1	1	yes	characteristic
198	C₄×C₄₃	—	4	1	no	—
199	C₄×C₄₃	—	4	1	no	—
200	C₄×C₄₃	—	8	2	no	—
201	C₄×C₄₃	C₂×C₂²⋊Q₈	1	1	yes	characteristic
202	C₄×C₄₃	C₂²×SD₁₆	1	1	yes	characteristic
203	Dic₄₃	—	4	1	no	—
204	Dic₄₃	—	4	1	no	—
205	Dic₄₃	—	8	2	no	—
206	Dic₄₃	#476	1	1	yes	characteristic
207	Dic₄₃	#476	1	1	yes	characteristic
208	C₂×#499	—	43	1	no	—
209	C₂×#443	—	43	1	no	—
210	#2231	—	43	1	no	—
211	#2231	—	43	1	no	—
212	#2231	—	43	2	no	—
213	#2231	—	43	1	no	—
214	#2231	—	43	2	no	—
215	#2231	D₄₃	1	1	yes	characteristic, direct product factor
216	C₂×#365	—	43	2	no	—
217	C₂×#364	—	43	1	no	—
218	C₂×#360	—	43	2	no	—
219	C₂×C₄₃	—	2	1	no	—
220	C₂×C₄₃	—	8	1	no	—
221	C₂×C₄₃	C₂×#476	1	1	yes	characteristic
222	D₄₃	—	2	1	no	—
223	D₄₃	—	8	1	no	—
224	D₄₃	#2231	1	2	yes	direct product factor
225	C₂×#135	—	43	1	no	—
226	C₂×#131	—	86	1	no	—
227	C₂×#125	—	86	1	no	—
228	C₂×M₃₂	—	43	2	no	—
229	#499	—	43	2	no	—
230	#499	—	43	1	no	—
231	#499	—	86	1	no	—
232	#499	—	86	1	no	—
233	#499	C₂×D₄₃	1	1	yes	characteristic, complemented
234	#443	—	43	1	no	—
235	#443	—	43	1	no	—
236	#443	—	43	1	no	—
237	#443	—	86	1	no	—
238	#443	—	86	1	no	—
239	#443	C₂×D₄₃	1	1	yes	characteristic
240	C₂×#108	—	43	1	no	—
241	C₂×#107	—	86	1	no	—
242	C₂×#106	—	43	2	no	—
243	C₂×#104	—	86	1	no	—
244	C₂×C₄×C₈	—	43	1	no	—
245	#365	—	43	2	no	—
246	#365	—	43	2	no	—
247	#365	—	43	2	no	—
248	#365	C₂×D₄₃	1	2	yes	complemented
249	#364	—	43	2	no	—
250	#364	—	43	1	no	—
251	#364	C₂×D₄₃	1	1	yes	characteristic, complemented
252	#360	—	43	2	no	—
253	#360	—	43	2	no	—
254	#360	—	43	2	no	—
255	#360	C₂×D₄₃	1	2	yes	—
256	C₄₃	C₂×#2231	1	1	yes	characteristic, complemented, Sylow
257	C₂×#41	—	86	1	no	—
258	#135	—	43	1	no	—
259	#135	—	43	1	no	—
260	#135	—	43	1	no	—
261	#135	—	86	1	no	—
262	#135	—	86	1	no	—
263	#135	C₂²×D₄₃	1	1	yes	characteristic
264	C₂×Q₁₆	—	43	1	no	—
265	C₂×SD₁₆	—	86	1	no	—
266	C₂×D₈	—	43	1	no	—
267	#131	—	2	1	no	—
268	#131	—	86	1	no	—
269	#131	—	86	1	no	—
270	#131	—	86	1	no	—
271	#131	—	172	1	no	—
272	#131	—	172	1	no	—
273	C₂×M₁₆	—	86	1	no	—
274	C₂×M₁₆	—	172	1	no	—
275	C₂²×C₈	—	43	1	no	—
276	C₂²×C₈	—	43	1	no	—
277	C₂²×C₈	—	172	1	no	—
278	#125	—	2	1	no	—
279	#125	—	86	2	no	—
280	#125	—	86	1	no	—
281	#125	—	172	2	no	—
282	C₂×C₄⋊C₄	—	86	2	no	—
283	C₂×C₄⋊C₄	—	172	2	no	—
284	C₂×C₄²	—	43	1	no	—
285	M₃₂	—	43	2	no	—
286	M₃₂	—	86	2	no	—
287	M₃₂	C₂²×D₄₃	1	2	yes	—
288	C₂×C₁₆	—	86	2	no	—
289	#108	—	43	1	no	—
290	#108	—	86	1	no	—
291	#108	C₂²×D₄₃	1	1	yes	characteristic
292	#107	—	2	1	no	—
293	#107	—	86	2	no	—
294	#107	—	86	1	no	—
295	#106	—	43	2	no	—
296	#106	—	86	2	no	—
297	#106	C₂²×D₄₃	1	2	yes	—
298	#104	—	2	1	no	—
299	#104	—	86	1	no	—
300	#104	—	86	1	no	—
301	#104	—	86	1	no	—
302	C₄×C₈	—	43	1	no	—
303	C₄×C₈	—	43	1	no	—
304	C₄×C₈	—	43	1	no	—
305	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
306	#41	—	2	1	no	—
307	#41	—	86	1	no	—
308	#41	—	86	1	no	—
309	#41	—	86	1	no	—
310	#41	—	172	1	no	—
311	#41	—	172	1	no	—
312	C₂×Q₈	—	86	1	no	—
313	C₂×D₄	—	86	1	no	—
314	C₂×D₄	—	172	1	no	—
315	C₂²×C₄	—	43	1	no	—
316	C₂²×C₄	—	86	1	no	—
317	C₂²×C₄	—	172	1	no	—
318	C₂²×C₄	—	172	2	no	—
319	Q₁₆	—	43	1	no	—
320	Q₁₆	—	86	1	no	—
321	Q₁₆	Q₈×D₄₃	1	1	yes	characteristic
322	SD₁₆	—	2	1	no	—
323	SD₁₆	—	86	1	no	—
324	SD₁₆	—	86	1	no	—
325	SD₁₆	—	86	1	no	—
326	D₈	—	43	1	no	—
327	D₈	—	86	1	no	—
328	D₈	Q₈×D₄₃	1	1	yes	characteristic
329	M₁₆	—	2	1	no	—
330	M₁₆	—	4	1	no	—
331	M₁₆	—	86	1	no	—
332	M₁₆	—	172	1	no	—
333	M₁₆	—	172	1	no	—
334	M₁₆	—	172	1	no	—
335	M₁₆	—	172	1	no	—
336	C₂×C₈	—	4	1	no	—
337	C₂×C₈	—	43	1	no	—
338	C₂×C₈	—	43	1	no	—
339	C₂×C₈	—	43	1	no	—
340	C₂×C₈	—	43	1	no	—
341	C₂×C₈	—	43	1	no	—
342	C₂×C₈	—	43	1	no	—
343	C₂×C₈	—	43	1	no	—
344	C₂×C₈	—	43	1	no	—
345	C₂×C₈	—	43	1	no	—
346	C₂×C₈	—	43	1	no	—
347	C₂×C₈	—	172	1	no	—
348	C₂×C₈	—	172	1	no	—
349	C₂×C₈	—	172	1	no	—
350	C₂×C₈	—	172	1	no	—
351	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
352	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
353	C₄⋊C₄	—	2	2	no	—
354	C₄⋊C₄	—	4	2	no	—
355	C₄⋊C₄	—	86	2	no	—
356	C₄⋊C₄	—	172	2	no	—
357	C₄⋊C₄	—	172	2	no	—
358	C₄⋊C₄	—	172	2	no	—
359	C₄⋊C₄	—	172	2	no	—
360	C₄²	—	43	1	no	—
361	C₄²	—	86	1	no	—
362	C₄²	D₄×D₄₃	1	1	yes	characteristic
363	C₁₆	—	2	2	no	—
364	C₁₆	—	86	2	no	—
365	C₂³	—	43	1	no	—
366	C₂³	—	172	1	no	—
367	Q₈	—	2	1	no	—
368	Q₈	—	86	1	no	—
369	Q₈	—	172	1	no	—
370	D₄	—	2	1	no	—
371	D₄	—	4	1	no	—
372	D₄	—	86	1	no	—
373	D₄	—	172	1	no	—
374	D₄	—	172	1	no	—
375	D₄	—	172	1	no	—
376	D₄	—	172	1	no	—
377	C₂×C₄	—	2	1	no	—
378	C₂×C₄	—	4	1	no	—
379	C₂×C₄	—	4	2	no	—
380	C₂×C₄	—	43	1	no	—
381	C₂×C₄	—	43	1	no	—
382	C₂×C₄	—	43	1	no	—
383	C₂×C₄	—	43	1	no	—
384	C₂×C₄	—	43	1	no	—
385	C₂×C₄	—	86	1	no	—
386	C₂×C₄	—	344	4	no	—
387	C₂×C₄	—	172	1	no	—
388	C₂×C₄	—	172	1	no	—
389	C₂×C₄	—	172	2	no	—
390	C₂×C₄	—	172	1	no	—
391	C₂×C₄	—	172	2	no	—
392	C₂×C₄	—	172	1	no	—
393	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
394	C₈	—	4	1	no	—
395	C₈	—	43	1	no	—
396	C₈	—	43	1	no	—
397	C₈	—	43	1	no	—
398	C₈	—	43	1	no	—
399	C₈	—	172	1	no	—
400	C₈	SD₁₆×D₄₃	1	1	yes	characteristic
401	C₈	SD₁₆×D₄₃	1	1	yes	characteristic
402	C₈	C₂×Q₈×D₄₃	1	1	yes	characteristic
403	C₈	#41×D₄₃	1	1	yes	characteristic
404	C₂²	—	4	1	no	—
405	C₂²	—	43	1	no	—
406	C₂²	—	43	1	no	—
407	C₂²	—	86	2	no	—
408	C₂²	—	344	2	no	—
409	C₂²	—	172	1	no	—
410	C₂²	AGL(1,ℤ/8)×D₄₃	1	1	yes	characteristic
411	C₄	—	4	1	no	—
412	C₄	—	4	1	no	—
413	C₄	—	8	2	no	—
414	C₄	—	43	1	no	—
415	C₄	—	43	1	no	—
416	C₄	—	344	2	no	—
417	C₄	—	172	1	no	—
418	C₄	—	172	1	no	—
419	C₄	C₂²⋊Q₈×D₄₃	1	1	yes	characteristic
420	C₄	C₂×SD₁₆×D₄₃	1	1	yes	characteristic
421	C₂	—	2	1	no	—
422	C₂	—	8	1	no	—
423	C₂	—	43	2	no	—
424	C₂	—	86	1	no	—
425	C₂	—	344	1	no	—
426	C₂	#476×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂	#476×D₄₃
commutator, cosocle	C₂×C₈×C₄₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₄₃×#2231	C₂
socle	C₂×C₄₃	C₂×#476
prime radical	#135×D₄₃	C₂²
hypercenter	#2231	D₄₃
hypocenter	C₄₃	C₂×#2231
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ C₄×C₈ ◁ #2231

Complements

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

N	H ≅ G/N	type
1. #499×D₄₃	C₂	semidirect
3. #19136772	C₂	semidirect
4. #19136771	C₂	semidirect
5. #19136770	C₂	semidirect
6. #19136769	C₂	semidirect
7. #19136768	C₂	semidirect
8. #365×D₄₃	C₂	semidirect
9. #364×D₄₃	C₂	semidirect
11. C₄₃×#2231	C₂	semidirect
16. #14583301	C₂²	semidirect
18. #14583299	C₂²	semidirect
30. #14582723	C₂²	semidirect
31. #14582722	C₂²	semidirect
32. #14582721	C₂²	semidirect
33. #14582720	C₂²	semidirect
34. #14582719	C₂²	semidirect
38. C₄₃×#499	C₂²	semidirect
40. C₄₃×#365	C₂²	semidirect
41. C₄₃×#364	C₂²	semidirect
215. #2231	D₄₃	direct (N × H)
224. D₄₃	#2231	direct (N × H)
233. #499	C₂×D₄₃	semidirect
248. #365	C₂×D₄₃	semidirect
251. #364	C₂×D₄₃	semidirect
256. C₄₃	C₂×#2231	semidirect

Maximal subgroups

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

subgroup	index
#499×D₄₃	2
#443×D₄₃	2
#19136772	2
#19136771	2
#19136770	2
#19136769	2
#19136768	2
#365×D₄₃	2
#364×D₄₃	2
#360×D₄₃	2
C₄₃×#2231	2
C₂×#2231	43

Subgroups — D43×#2231 #25251329

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄₃×#2231 #25251329