Subgroups — #25084489

Order 11008.

720 conjugacy classes of subgroups.

The subgroup lattice has 424 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145716	C₂	1	1	yes	maximal, characteristic
2	#19145540	C₂	1	1	yes	maximal, characteristic, complemented
3	#19145155	C₂	1	1	yes	maximal, characteristic
4	C₂×#14583295	C₂	1	1	yes	maximal, characteristic, complemented
5	#19144989	C₂	1	1	yes	maximal, characteristic
6	#19134252	C₂	1	2	yes	maximal, complemented
7	#19134238	C₂	1	2	yes	maximal, complemented
8	#19134198	C₂	1	2	yes	maximal, complemented
9	#19134191	C₂	1	2	yes	maximal, complemented
10	M₁₆×C₄₃⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#3139	C₂	1	1	yes	maximal, characteristic, complemented
12	#14583449	C₂²	1	1	yes	characteristic
13	C₂×#13063325	C₂²	1	1	yes	characteristic
14	#14583302	C₂²	1	2	yes	—
15	#14583295	—	2	2	no	—
16	#14583295	C₂²	1	2	yes	—
17	#14583295	C₂²	1	2	yes	—
18	#14583295	C₂²	1	1	yes	characteristic
19	#14583278	C₂²	1	2	yes	—
20	#14583273	C₂²	1	1	yes	characteristic
21	#14583259	—	2	2	no	—
22	#14583251	C₂²	1	2	yes	—
23	#14583250	C₂²	1	2	yes	—
24	#14583249	C₂²	1	1	yes	characteristic
25	#14583247	C₂²	1	1	yes	characteristic
26	#14583247	C₂²	1	2	yes	—
27	#14583246	C₂²	1	2	yes	—
28	#14583212	—	2	2	no	—
29	#14583176	—	2	2	no	—
30	#14583130	—	2	2	no	—
31	#14583109	—	2	2	no	—
32	#14583054	—	2	2	no	—
33	C₄×#10621884	—	2	2	no	—
34	#14582952	C₂²	1	1	yes	characteristic
35	C₂×#13063256	—	2	2	no	—
36	#14582901	—	2	2	no	—
37	C₂×C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
38	#14582620	C₂²	1	2	yes	—
39	C₈×C₄₃⋊C₈	C₂²	1	2	yes	—
40	C₄₃×#533	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
42	C₄₃×#491	—	2	2	no	—
43	C₄₃×#487	C₂²	1	2	yes	—
44	C₄₃×#487	C₂²	1	2	yes	—
45	C₄₃×#419	—	2	2	no	—
46	C₄×M₁₆×C₄₃	C₂²	1	1	yes	characteristic
47	C₂×#10621898	—	2	1	no	—
48	C₂²×Dic₈₆	—	2	1	no	—
49	C₂×#10621885	—	2	4	no	—
50	C₂×#10621884	—	2	2	no	—
51	C₂²×C₄₃⋊C₈	D₄	1	2	yes	—
52	#13063325	—	2	1	no	—
53	#13063325	—	2	1	no	—
54	#13063325	—	2	1	no	—
55	#13063325	C₂³	1	1	yes	characteristic
56	#13063325	C₂³	1	2	yes	—
57	#13063322	C₂³	1	1	yes	characteristic
58	#13063313	—	2	1	no	—
59	#13063299	—	2	1	no	—
60	#13063299	—	2	1	no	—
61	C₄×D₁₇₂	—	2	1	no	—
62	C₄×D₁₇₂	—	2	1	no	—
63	C₂×C₄⋊Dic₄₃	—	2	1	no	—
64	C₂×C₄⋊Dic₄₃	—	2	1	no	—
65	#13063258	—	2	4	no	—
66	#13063256	—	2	2	no	—
67	#13063256	—	2	4	no	—
68	#13063256	—	2	4	no	—
69	C₄⋊(C₄₃⋊C₈)	D₄	1	2	yes	—
70	#13063250	—	2	4	no	—
71	#13063249	—	2	2	no	—
72	#13063248	—	2	4	no	—
73	#13063247	—	2	4	no	—
74	#13063245	—	2	2	no	—
75	#13063245	—	2	4	no	—
76	C₂²⋊(C₄₃⋊C₈)	D₄	1	2	yes	—
77	C₄×C₄₃⋊C₈	D₄	1	2	yes	—
78	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
79	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
80	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
81	C₂²×Q₈×C₄₃	—	2	1	no	—
82	C₂×M₁₆×C₄₃	D₄	1	2	yes	—
83	C₄⋊Q₈×C₄₃	—	2	1	no	—
84	C₄⋊Q₈×C₄₃	—	2	1	no	—
85	C₄⋊Q₈×C₄₃	—	2	1	no	—
86	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	—
87	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
88	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
89	#125×C₄₃	—	2	1	no	—
90	C₂²⋊Q₈×C₄₃	—	2	1	no	—
91	C₂²⋊Q₈×C₄₃	—	2	1	no	—
92	C₄×Q₈×C₄₃	—	2	1	no	—
93	C₄×Q₈×C₄₃	—	2	1	no	—
94	#117×C₄₃	—	2	1	no	—
95	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
96	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
97	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
98	#103×C₄₃	—	2	4	no	—
99	#103×C₄₃	—	2	4	no	—
100	#97×C₄₃	D₄	1	2	yes	—
101	C₄×C₈×C₄₃	C₂³	1	2	yes	—
102	C₂×Q₈×C₄₃	—	2	2	no	—
103	C₂×Q₈×C₄₃	—	2	1	no	—
104	C₂×Q₈×C₄₃	—	2	1	no	—
105	C₂×Q₈×C₄₃	—	4	1	no	—
106	C₂×Q₈×C₄₃	—	4	4	no	—
107	C₂²×C₄×C₄₃	—	4	1	no	—
108	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
109	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
110	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
111	C₂×C₂²⋊D₄₃	—	4	1	no	—
112	C₂²×Dic₄₃	—	4	1	no	—
113	#10621898	—	4	4	no	—
114	C₂×D₁₇₂	—	2	1	no	—
115	C₂×D₁₇₂	—	2	1	no	—
116	C₂×D₁₇₂	—	2	1	no	—
117	C₂×C₄×D₄₃	—	4	1	no	—
118	C₂×Dic₈₆	—	2	2	no	—
119	C₂×Dic₈₆	—	2	1	no	—
120	C₂×Dic₈₆	—	4	1	no	—
121	C₂×Dic₈₆	—	8	2	no	—
122	M₁₆×C₄₃	—	2	4	no	—
123	C₂×C₈×C₄₃	C₂×D₄	1	4	yes	—
124	C₄⋊C₄×C₄₃	—	2	1	no	—
125	C₄⋊C₄×C₄₃	—	2	1	no	—
126	C₄⋊C₄×C₄₃	—	2	2	no	—
127	C₄⋊C₄×C₄₃	—	2	2	no	—
128	C₄⋊C₄×C₄₃	—	2	1	no	—
129	C₄⋊C₄×C₄₃	—	2	1	no	—
130	C₄⋊C₄×C₄₃	—	4	1	no	—
131	C₄⋊C₄×C₄₃	—	4	1	no	—
132	C₄⋊C₄×C₄₃	—	4	1	no	—
133	C₄⋊C₄×C₄₃	—	4	1	no	—
134	C₂²⋊C₄×C₄₃	—	4	1	no	—
135	C₄²×C₄₃	—	4	1	no	—
136	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
137	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
138	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
139	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
140	#10621885	—	8	4	no	—
141	#10621884	—	4	4	no	—
142	(C₂×D₄₃)⋊C₄	—	4	1	no	—
143	(C₂×D₄₃)⋊C₄	—	4	1	no	—
144	C₄⋊Dic₄₃	—	2	2	no	—
145	C₄⋊Dic₄₃	—	2	1	no	—
146	C₄⋊Dic₄₃	—	2	2	no	—
147	C₄⋊Dic₄₃	—	2	1	no	—
148	C₄⋊Dic₄₃	—	4	1	no	—
149	C₄⋊Dic₄₃	—	4	1	no	—
150	C₂×C₄₃⋊C₈	—	2	4	no	—
151	C₂×C₄₃⋊C₈	C₂×D₄	1	2	yes	—
152	C₂×C₄₃⋊C₈	C₂×D₄	1	4	yes	—
153	C₂×C₄₃⋊C₈	C₂×D₄	1	2	yes	—
154	C₂³×C₄₃	#127	1	1	yes	characteristic
155	C₂²×D₄₃	—	4	1	no	—
156	Q₈×C₄₃	—	4	4	no	—
157	Q₈×C₄₃	—	4	2	no	—
158	Q₈×C₄₃	—	4	2	no	—
159	Q₈×C₄₃	—	8	2	no	—
160	C₂×C₄×C₄₃	—	2	2	no	—
161	C₂×C₄×C₄₃	—	2	2	no	—
162	C₂×C₄×C₄₃	—	4	1	no	—
163	C₂×C₄×C₄₃	—	4	1	no	—
164	C₂×C₄×C₄₃	—	4	2	no	—
165	C₂×C₄×C₄₃	—	8	2	no	—
166	C₂×C₄×C₄₃	#127	1	1	yes	characteristic
167	C₂×C₄×C₄₃	#127	1	1	yes	characteristic
168	C₂×C₄×C₄₃	#127	1	1	yes	characteristic
169	C₂×C₄×C₄₃	#135	1	4	yes	—
170	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
171	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
172	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
173	C₂²⋊D₄₃	—	8	2	no	—
174	C₂×Dic₄₃	—	4	2	no	—
175	C₂×Dic₄₃	—	4	1	no	—
176	C₂×Dic₄₃	—	8	2	no	—
177	D₁₇₂	—	4	2	no	—
178	D₁₇₂	—	4	2	no	—
179	D₁₇₂	—	4	2	no	—
180	C₄×D₄₃	—	8	2	no	—
181	Dic₈₆	—	4	2	no	—
182	Dic₈₆	—	4	4	no	—
183	Dic₈₆	—	8	2	no	—
184	C₈×C₄₃	—	2	4	no	—
185	C₄₃⋊C₈	—	2	2	no	—
186	C₄₃⋊C₈	—	2	4	no	—
187	C₄₃⋊C₈	#137	1	4	yes	—
188	#19626	—	43	1	no	maximal, Sylow
189	C₂²×C₄₃	—	2	1	no	—
190	C₂²×C₄₃	—	2	1	no	—
191	C₂²×C₄₃	#495	1	2	yes	—
192	C₂²×C₄₃	C₂×#127	1	1	yes	characteristic
193	C₂×D₄₃	—	8	1	no	—
194	C₂×D₄₃	—	8	1	no	—
195	C₂×D₄₃	—	8	1	no	—
196	C₄×C₄₃	—	2	1	no	—
197	C₄×C₄₃	—	2	1	no	—
198	C₄×C₄₃	—	8	2	no	—
199	C₄×C₄₃	—	8	1	no	—
200	C₄×C₄₃	—	8	1	no	—
201	C₄×C₄₃	#495	1	2	yes	—
202	C₄×C₄₃	C₂×#135	1	2	yes	—
203	C₄×C₄₃	C₂×#137	1	2	yes	—
204	C₄×C₄₃	#577	1	2	yes	—
205	Dic₄₃	—	8	1	no	—
206	Dic₄₃	—	8	2	no	—
207	#3226	—	43	1	no	—
208	#3209	—	43	1	no	—
209	#3167	—	43	1	no	—
210	C₂×#498	—	43	1	no	—
211	#3141	—	43	1	no	—
212	#3139	D₄₃	1	1	yes	characteristic, complemented
213	#1720	—	43	2	no	—
214	#1718	—	43	2	no	—
215	#1708	—	43	2	no	—
216	#1707	—	43	2	no	—
217	C₈×M₁₆	—	43	1	no	—
218	C₂×C₄₃	—	2	2	no	—
219	C₂×C₄₃	C₂×#495	1	1	yes	characteristic
220	C₂×C₄₃	#3152	1	1	yes	characteristic
221	C₂×C₄₃	#3154	1	1	yes	characteristic
222	D₄₃	—	16	1	no	—
223	#533	C₂×D₄₃	1	1	yes	characteristic
224	#532	—	43	1	no	—
225	C₂×C₄⋊Q₈	—	43	1	no	—
226	C₂×C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
227	#500	—	43	2	no	—
228	#498	—	43	2	no	—
229	#498	—	43	2	no	—
230	#498	—	43	1	no	—
231	#498	—	86	2	no	—
232	#494	—	43	2	no	—
233	#492	—	43	1	no	—
234	#491	—	2	2	no	—
235	#489	—	86	2	no	—
236	#487	—	43	1	no	—
237	#487	—	43	2	no	—
238	#487	—	43	2	no	—
239	#487	C₂×D₄₃	1	2	yes	—
240	#487	C₂×D₄₃	1	2	yes	—
241	#486	—	43	1	no	—
242	#486	—	43	2	no	—
243	#486	—	43	2	no	—
244	#480	—	86	2	no	—
245	#474	—	86	2	no	—
246	#465	—	86	2	no	—
247	#462	—	86	2	no	—
248	#451	—	86	2	no	—
249	C₄×SD₁₆	—	86	2	no	—
250	#431	—	43	1	no	—
251	C₂×#106	—	86	2	no	—
252	#419	—	2	2	no	—
253	#417	—	86	2	no	—
254	C₄×M₁₆	C₂×D₄₃	1	1	yes	characteristic
255	C₂×C₄×C₈	—	43	1	no	—
256	#322	—	43	2	no	—
257	C₈²	—	43	2	no	—
258	C₄₃	#19626	1	1	yes	characteristic, complemented, Sylow
259	C₂×#41	—	86	1	no	—
260	C₂²×Q₈	—	2	1	no	—
261	C₂²×Q₈	—	86	1	no	—
262	C₂×Q₁₆	—	86	4	no	—
263	C₂×SD₁₆	—	86	2	no	—
264	C₂×M₁₆	C₂²⋊D₄₃	1	2	yes	—
265	C₂²×C₈	—	43	2	no	—
266	C₄⋊Q₈	—	2	1	no	—
267	C₄⋊Q₈	—	2	1	no	—
268	C₄⋊Q₈	—	2	1	no	—
269	C₄⋊Q₈	—	43	2	no	—
270	C₄⋊Q₈	—	43	1	no	—
271	C₄⋊Q₈	—	86	1	no	—
272	C₄⋊Q₈	—	86	1	no	—
273	C₄⋊Q₈	—	86	1	no	—
274	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	—
275	C₄⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
276	C₄⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
277	#127	—	43	1	no	—
278	#125	—	2	1	no	—
279	#124	—	86	1	no	—
280	C₂²⋊Q₈	—	2	1	no	—
281	C₂²⋊Q₈	—	2	1	no	—
282	#121	—	86	1	no	—
283	#121	—	86	1	no	—
284	C₄×Q₈	—	2	1	no	—
285	C₄×Q₈	—	2	1	no	—
286	C₄×D₄	—	86	1	no	—
287	C₄×D₄	—	86	1	no	—
288	#117	—	2	1	no	—
289	C₂×C₄⋊C₄	—	2	1	no	—
290	C₂×C₄⋊C₄	—	2	1	no	—
291	C₂×C₄⋊C₄	—	86	1	no	—
292	C₂×C₄⋊C₄	—	86	1	no	—
293	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
294	#107	—	86	4	no	—
295	#106	—	86	4	no	—
296	#106	—	86	4	no	—
297	#106	—	86	2	no	—
298	C₄⋊C₈	—	43	2	no	—
299	#103	—	2	4	no	—
300	#103	—	2	4	no	—
301	#103	—	86	4	no	—
302	#103	—	86	2	no	—
303	#103	—	86	4	no	—
304	#102	—	86	2	no	—
305	#102	—	86	4	no	—
306	#102	—	86	4	no	—
307	C₂²⋊C₈	—	43	2	no	—
308	#97	C₂²⋊D₄₃	1	2	yes	—
309	C₄×C₈	—	43	2	no	—
310	C₄×C₈	—	43	1	no	—
311	C₄×C₈	—	43	2	no	—
312	C₄×C₈	—	43	1	no	—
313	C₄×C₈	C₂²×D₄₃	1	2	yes	—
314	#41	—	172	4	no	—
315	C₂×Q₈	—	2	1	no	—
316	C₂×Q₈	—	2	1	no	—
317	C₂×Q₈	—	2	2	no	—
318	C₂×Q₈	—	4	1	no	—
319	C₂×Q₈	—	4	4	no	—
320	C₂×Q₈	—	86	2	no	—
321	C₂×Q₈	—	86	1	no	—
322	C₂×Q₈	—	344	2	no	—
323	C₂×Q₈	—	172	1	no	—
324	C₂×D₄	—	86	1	no	—
325	C₂×D₄	—	86	1	no	—
326	C₂×D₄	—	86	1	no	—
327	C₂×D₄	—	172	1	no	—
328	C₂²×C₄	—	4	1	no	—
329	C₂²×C₄	—	172	1	no	—
330	C₂²×C₄	—	172	1	no	—
331	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
332	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
333	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
334	Q₁₆	—	344	4	no	—
335	SD₁₆	—	172	4	no	—
336	M₁₆	—	2	4	no	—
337	C₂×C₈	—	43	2	no	—
338	C₂×C₈	—	43	2	no	—
339	C₂×C₈	—	43	4	no	—
340	C₂×C₈	—	86	4	no	—
341	C₂×C₈	C₂×C₂²⋊D₄₃	1	4	yes	—
342	C₄⋊C₄	—	2	1	no	—
343	C₄⋊C₄	—	2	2	no	—
344	C₄⋊C₄	—	2	1	no	—
345	C₄⋊C₄	—	2	2	no	—
346	C₄⋊C₄	—	2	1	no	—
347	C₄⋊C₄	—	2	1	no	—
348	C₄⋊C₄	—	4	1	no	—
349	C₄⋊C₄	—	4	1	no	—
350	C₄⋊C₄	—	4	1	no	—
351	C₄⋊C₄	—	4	1	no	—
352	C₄⋊C₄	—	86	1	no	—
353	C₄⋊C₄	—	86	2	no	—
354	C₄⋊C₄	—	86	1	no	—
355	C₄⋊C₄	—	86	2	no	—
356	C₄⋊C₄	—	172	1	no	—
357	C₄⋊C₄	—	172	1	no	—
358	C₂²⋊C₄	—	4	1	no	—
359	C₂²⋊C₄	—	172	1	no	—
360	C₂²⋊C₄	—	172	1	no	—
361	C₄²	—	4	1	no	—
362	C₄²	D₄×D₄₃	1	1	yes	characteristic
363	C₄²	D₄×D₄₃	1	1	yes	characteristic
364	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
365	C₄²	C₂³×D₄₃	1	1	yes	characteristic
366	C₂³	—	172	1	no	—
367	C₂³	#13063321	1	1	yes	characteristic
368	Q₈	—	4	4	no	—
369	Q₈	—	4	2	no	—
370	Q₈	—	4	2	no	—
371	Q₈	—	8	2	no	—
372	Q₈	—	344	2	no	—
373	Q₈	—	172	2	no	—
374	Q₈	—	172	4	no	—
375	D₄	—	344	2	no	—
376	D₄	—	172	2	no	—
377	D₄	—	172	2	no	—
378	D₄	—	172	2	no	—
379	C₂×C₄	—	2	2	no	—
380	C₂×C₄	—	2	2	no	—
381	C₂×C₄	—	4	1	no	—
382	C₂×C₄	—	4	1	no	—
383	C₂×C₄	—	4	2	no	—
384	C₂×C₄	—	8	2	no	—
385	C₂×C₄	—	344	2	no	—
386	C₂×C₄	—	344	2	no	—
387	C₂×C₄	—	172	1	no	—
388	C₂×C₄	—	172	2	no	—
389	C₂×C₄	#13063321	1	1	yes	characteristic
390	C₂×C₄	#13063321	1	1	yes	characteristic
391	C₂×C₄	#13063321	1	1	yes	characteristic
392	C₂×C₄	#13063345	1	4	yes	—
393	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
394	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
395	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
396	C₈	—	2	4	no	—
397	C₈	—	43	4	no	—
398	C₈	—	86	2	no	—
399	C₈	—	86	4	no	—
400	C₂²	—	2	1	no	—
401	C₂²	—	2	1	no	—
402	C₂²	—	344	1	no	—
403	C₂²	—	344	1	no	—
404	C₂²	—	344	1	no	—
405	C₂²	#14583281	1	2	yes	—
406	C₂²	C₂×#13063321	1	1	yes	characteristic
407	C₄	—	2	1	no	—
408	C₄	—	2	1	no	—
409	C₄	—	8	2	no	—
410	C₄	—	8	1	no	—
411	C₄	—	8	1	no	—
412	C₄	—	344	1	no	—
413	C₄	—	344	2	no	—
414	C₄	#14583281	1	2	yes	—
415	C₄	C₂×#13063345	1	2	yes	—
416	C₄	#137×D₄₃	1	2	yes	—
417	C₄	#14583708	1	2	yes	—
418	C₂	—	2	2	no	—
419	C₂	—	688	1	no	—
420	C₂	C₂×#14583281	1	1	yes	characteristic
421	C₂	#19145050	1	1	yes	characteristic
422	C₂	#19145074	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13063321
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#3139	C₂
socle	C₂²×C₄₃	C₂×#127
prime radical	#14583449	C₂²
hypercenter	#3139	D₄₃
hypocenter	C₄₃	#19626
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3139

Complements

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

N	H ≅ G/N	type
2. #19145540	C₂	semidirect
4. C₂×#14583295	C₂	semidirect
6. #19134252	C₂	semidirect
7. #19134238	C₂	semidirect
8. #19134198	C₂	semidirect
9. #19134191	C₂	semidirect
10. M₁₆×C₄₃⋊C₈	C₂	semidirect
11. C₄₃×#3139	C₂	semidirect
212. #3139	D₄₃	semidirect
258. C₄₃	#19626	semidirect

Maximal subgroups

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

subgroup	index
#19145716	2
#19145540	2
#19145155	2
C₂×#14583295	2
#19144989	2
#19134252	2
#19134238	2
#19134198	2
#19134191	2
M₁₆×C₄₃⋊C₈	2
C₄₃×#3139	2
#19626	43