Subgroups — #25013537

Order 11008.

582 conjugacy classes of subgroups.

The subgroup lattice has 406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583132	C₂	1	1	yes	maximal, characteristic
2	C₂×#14582936	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#14582700	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×(C₂×D₄₃)⋊C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
5	#19132687	C₂	1	1	yes	maximal, characteristic, complemented
6	#19132686	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₄₃×#357	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×C₈×D₄₃	C₂²	1	1	yes	characteristic
9	C₂×#13063296	—	2	1	no	—
10	C₂×#13063283	—	2	1	no	—
11	C₂²×C₄₃⋊C₁₆	C₂²	1	1	yes	characteristic
12	#14583132	—	2	2	no	—
13	#14583132	C₄	1	4	yes	complemented
14	#14582936	—	2	2	no	—
15	#14582936	—	2	2	no	—
16	C₂×#13063259	C₂²	1	1	yes	characteristic
17	C₂×#13063259	C₂²	1	1	yes	characteristic
18	C₂×#13063256	—	2	1	no	—
19	C₂×#13063246	—	2	1	no	—
20	#14582700	—	2	2	no	—
21	(C₂×D₄₃)⋊C₁₆	—	2	2	no	—
22	C₂²×D₈×C₄₃	C₂²	1	1	yes	characteristic
23	C₂²×C₁₆×C₄₃	C₂²	1	1	yes	characteristic
24	C₂×#107×C₄₃	C₂²	1	1	yes	characteristic
25	C₄₃×#357	—	2	2	no	—
26	C₂²×C₂²⋊D₄₃	—	4	1	no	—
27	C₂²×C₄×D₄₃	D₄	1	1	yes	characteristic
28	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
29	C₂×C₈×D₄₃	—	2	1	no	—
30	C₂×C₈×D₄₃	—	2	1	no	—
31	C₂×C₈×D₄₃	—	2	1	no	—
32	C₂×C₈×D₄₃	—	2	1	no	—
33	C₂×C₈×D₄₃	C₂×C₄	1	2	yes	—
34	C₂×C₈×D₄₃	D₄	1	2	yes	—
35	#13063296	—	2	4	no	—
36	#13063296	—	4	2	no	—
37	#13063283	—	2	4	no	—
38	#13063283	—	4	2	no	—
39	C₂×C₄⋊Dic₄₃	—	2	1	no	—
40	C₂×C₄⋊Dic₄₃	—	2	1	no	—
41	C₂×C₂²⋊Dic₄₃	—	4	1	no	—
42	C₂×(C₂×D₄₃)⋊C₄	—	4	1	no	—
43	C₂×C₄×Dic₄₃	—	4	1	no	—
44	C₂×C₄₃⋊C₁₆	—	2	1	no	—
45	C₂×C₄₃⋊C₁₆	—	2	1	no	—
46	C₂×C₄₃⋊C₁₆	—	2	1	no	—
47	#13063259	—	2	1	no	—
48	#13063259	—	2	1	no	—
49	#13063259	C₂×C₄	1	2	yes	—
50	#13063259	D₄	1	2	yes	complemented
51	#13063256	—	2	4	no	—
52	#13063246	—	2	4	no	—
53	C₂²×D₄×C₄₃	—	2	1	no	—
54	C₂×D₈×C₄₃	—	2	1	no	—
55	C₂×D₈×C₄₃	—	2	1	no	—
56	C₂×D₈×C₄₃	—	2	1	no	—
57	C₂×D₈×C₄₃	—	2	1	no	—
58	C₂×D₈×C₄₃	—	2	1	no	—
59	C₂×D₈×C₄₃	C₂×C₄	1	2	yes	—
60	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
61	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
62	C₂×C₁₆×C₄₃	—	2	1	no	—
63	C₂×C₁₆×C₄₃	—	2	1	no	—
64	C₂×C₁₆×C₄₃	—	2	1	no	—
65	#107×C₄₃	—	2	1	no	—
66	#107×C₄₃	D₄	1	2	yes	complemented
67	C₂⁴×C₄₃	—	4	1	no	—
68	C₂³×D₄₃	D₈	1	1	yes	characteristic
69	C₂×D₄×C₄₃	—	2	2	no	—
70	C₂×D₄×C₄₃	—	4	1	no	—
71	C₂×D₄×C₄₃	—	4	1	no	—
72	C₂×D₄×C₄₃	—	4	1	no	—
73	C₂×D₄×C₄₃	—	4	1	no	—
74	C₂×D₄×C₄₃	—	4	1	no	—
75	C₂²×C₄×C₄₃	—	4	1	no	—
76	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
77	C₂×C₂²⋊D₄₃	—	4	4	no	—
78	C₂×C₂²⋊D₄₃	—	8	2	no	—
79	C₂×C₂²⋊D₄₃	—	8	2	no	—
80	C₂²×Dic₄₃	—	4	1	no	—
81	C₂²×Dic₄₃	—	4	1	no	—
82	C₂²×Dic₄₃	D₈	1	1	yes	characteristic
83	C₂×C₄×D₄₃	—	2	1	no	—
84	C₂×C₄×D₄₃	—	2	1	no	—
85	C₂×C₄×D₄₃	—	2	1	no	—
86	C₂×C₄×D₄₃	—	2	1	no	—
87	C₂×C₄×D₄₃	C₂²⋊C₄	1	2	yes	—
88	C₂×C₄×D₄₃	SD₁₆	1	2	yes	—
89	D₈×C₄₃	—	2	2	no	—
90	D₈×C₄₃	—	2	2	no	—
91	D₈×C₄₃	—	4	1	no	—
92	D₈×C₄₃	—	4	1	no	—
93	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
94	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
95	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
96	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
97	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
98	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
99	C₄⋊C₄×C₄₃	—	2	2	no	—
100	C₄⋊C₄×C₄₃	—	4	1	no	—
101	C₂²⋊Dic₄₃	—	4	4	no	—
102	(C₂×D₄₃)⋊C₄	—	4	4	no	—
103	C₄⋊Dic₄₃	—	2	2	no	—
104	C₄⋊Dic₄₃	—	2	2	no	—
105	C₄⋊Dic₄₃	—	4	1	no	—
106	C₄⋊Dic₄₃	—	4	1	no	—
107	C₄×Dic₄₃	—	4	4	no	—
108	C₂×C₄₃⋊C₈	—	2	1	no	—
109	C₂×C₄₃⋊C₈	—	2	1	no	—
110	C₂×C₄₃⋊C₈	C₂²⋊C₄	1	2	yes	—
111	C₈×D₄₃	—	2	2	no	—
112	C₈×D₄₃	—	2	2	no	—
113	C₈×D₄₃	—	2	2	no	—
114	C₈×D₄₃	—	2	2	no	—
115	C₁₆×C₄₃	—	4	1	no	—
116	C₄₃⋊C₁₆	—	4	1	no	—
117	C₂³×C₄₃	—	4	2	no	—
118	C₂³×C₄₃	—	8	1	no	—
119	C₂³×C₄₃	—	8	1	no	—
120	C₂³×C₄₃	—	8	1	no	—
121	C₂³×C₄₃	—	8	1	no	—
122	C₂³×C₄₃	—	8	1	no	—
123	C₂³×C₄₃	—	8	1	no	—
124	C₂³×C₄₃	C₂×D₈	1	1	yes	characteristic
125	C₂²×D₄₃	—	2	1	no	—
126	C₂²×D₄₃	—	2	1	no	—
127	C₂²×D₄₃	—	2	1	no	—
128	C₂²×D₄₃	—	2	1	no	—
129	C₂²×D₄₃	—	2	1	no	—
130	C₂²×D₄₃	—	2	1	no	—
131	C₂²×D₄₃	#102	1	2	yes	—
132	D₄×C₄₃	—	4	2	no	—
133	D₄×C₄₃	—	4	2	no	—
134	D₄×C₄₃	—	8	1	no	—
135	D₄×C₄₃	—	8	1	no	—
136	C₂×C₄×C₄₃	—	4	2	no	—
137	C₂×C₄×C₄₃	—	8	1	no	—
138	C₂×C₄×C₄₃	—	8	1	no	—
139	C₂×C₄×C₄₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
140	C₂×C₄×C₄₃	#120	1	1	yes	characteristic
141	C₂×C₄×C₄₃	#123	1	1	yes	characteristic
142	C₂×C₄×C₄₃	C₂×SD₁₆	1	1	yes	characteristic
143	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
144	C₂×C₄×C₄₃	#137	1	1	yes	characteristic
145	C₂²⋊D₄₃	—	8	8	no	—
146	C₂×Dic₄₃	—	2	1	no	—
147	C₂×Dic₄₃	—	2	1	no	—
148	C₂×Dic₄₃	—	4	2	no	—
149	C₂×Dic₄₃	—	4	2	no	—
150	C₂×Dic₄₃	—	8	1	no	—
151	C₂×Dic₄₃	—	8	1	no	—
152	C₂×Dic₄₃	—	8	1	no	—
153	C₂×Dic₄₃	—	8	1	no	—
154	C₂×Dic₄₃	#102	1	2	yes	—
155	C₄×D₄₃	—	2	2	no	—
156	C₄×D₄₃	—	2	2	no	—
157	C₄×D₄₃	—	2	2	no	—
158	C₄×D₄₃	—	2	2	no	—
159	C₈×C₄₃	C₄×D₄	1	1	yes	characteristic
160	C₈×C₄₃	C₄×D₄	1	1	yes	characteristic
161	C₈×C₄₃	#121	1	1	yes	characteristic
162	C₈×C₄₃	#121	1	1	yes	characteristic
163	C₄₃⋊C₈	—	2	2	no	—
164	#12992	—	43	1	no	maximal, Sylow
165	C₂²×C₄₃	—	8	2	no	—
166	C₂²×C₄₃	—	8	2	no	—
167	C₂²×C₄₃	—	8	2	no	—
168	C₂²×C₄₃	—	16	1	no	—
169	C₂²×C₄₃	—	16	1	no	—
170	C₂²×C₄₃	—	16	1	no	—
171	C₂²×C₄₃	—	16	1	no	—
172	C₂²×C₄₃	C₂×#102	1	1	yes	characteristic
173	C₂²×C₄₃	#447	1	1	yes	characteristic
174	C₂²×C₄₃	#480	1	1	yes	characteristic
175	C₂²×C₄₃	#508	1	1	yes	characteristic
176	C₂²×C₄₃	#508	1	1	yes	characteristic
177	C₂²×C₄₃	#509	1	1	yes	characteristic
178	C₂²×C₄₃	#509	1	1	yes	characteristic
179	C₂×D₄₃	—	2	2	no	—
180	C₂×D₄₃	—	2	2	no	—
181	C₂×D₄₃	—	2	2	no	—
182	C₂×D₄₃	—	4	1	no	—
183	C₂×D₄₃	—	4	1	no	—
184	C₂×D₄₃	—	4	1	no	—
185	C₂×D₄₃	—	4	1	no	—
186	C₄×C₄₃	—	8	2	no	—
187	C₄×C₄₃	#386	1	1	yes	characteristic
188	C₄×C₄₃	#417	1	1	yes	characteristic
189	C₄×C₄₃	#448	1	1	yes	characteristic
190	C₄×C₄₃	#481	1	1	yes	characteristic
191	Dic₄₃	—	2	2	no	—
192	Dic₄₃	—	8	2	no	—
193	Dic₄₃	—	8	2	no	—
194	C₂×#466	—	43	1	no	—
195	C₂×#427	—	43	1	no	—
196	C₂×#357	—	43	1	no	—
197	C₂×#357	D₄₃	1	1	yes	characteristic, complemented
198	C₂×C₂²⋊C₁₆	—	43	1	no	—
199	#1380	—	43	1	no	—
200	#1380	—	43	1	no	—
201	C₂×C₄₃	—	16	2	no	—
202	C₂×C₄₃	#1874	1	1	yes	characteristic
203	C₂×C₄₃	#2138	1	1	yes	characteristic
204	C₂×C₄₃	#2140	1	1	yes	characteristic
205	C₂×C₄₃	#2186	1	1	yes	characteristic
206	C₂×C₄₃	#2186	1	1	yes	characteristic
207	C₂×C₄₃	#2234	1	1	yes	characteristic
208	C₂×C₄₃	#2234	1	1	yes	characteristic
209	D₄₃	—	4	2	no	—
210	C₂²×D₈	C₂×D₄₃	1	1	yes	characteristic
211	C₂³×C₈	—	43	1	no	—
212	C₂×#121	—	86	1	no	—
213	C₂×#117	—	86	1	no	—
214	C₂²×C₁₆	—	43	1	no	—
215	C₂²×C₁₆	C₂×D₄₃	1	1	yes	characteristic
216	#466	—	43	4	no	—
217	#466	—	86	2	no	—
218	#427	—	86	2	no	—
219	#427	—	86	2	no	—
220	C₂×#107	—	43	1	no	—
221	C₂×#107	—	43	1	no	—
222	C₂×#107	C₂×D₄₃	1	1	yes	characteristic
223	C₂×#106	—	86	1	no	—
224	C₂×#102	—	86	1	no	—
225	#357	—	2	2	no	—
226	#357	—	86	2	no	—
227	C₂²⋊C₁₆	—	86	2	no	—
228	C₄₃	#12992	1	1	yes	characteristic, complemented, Sylow
229	C₂²×D₄	—	2	1	no	—
230	C₂²×D₄	—	172	1	no	—
231	C₂³×C₄	—	43	1	no	—
232	C₂×D₈	—	2	1	no	—
233	C₂×D₈	—	2	1	no	—
234	C₂×D₈	—	2	1	no	—
235	C₂×D₈	—	2	1	no	—
236	C₂×D₈	—	2	1	no	—
237	C₂×D₈	C₄×D₄₃	1	2	yes	—
238	C₂²×C₈	—	43	1	no	—
239	C₂²×C₈	—	43	2	no	—
240	C₂²×C₈	—	43	2	no	—
241	C₂²×C₈	—	86	1	no	—
242	C₂²×C₈	—	86	1	no	—
243	C₂²×C₈	—	86	1	no	—
244	C₂²×C₈	—	86	1	no	—
245	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
246	#121	—	86	4	no	—
247	#121	—	172	2	no	—
248	#117	—	86	4	no	—
249	#117	—	172	2	no	—
250	C₂×C₄⋊C₄	—	2	1	no	—
251	C₂×C₄⋊C₄	—	86	1	no	—
252	C₂×C₄⋊C₄	—	86	1	no	—
253	C₂×C₂²⋊C₄	—	172	1	no	—
254	C₂×C₂²⋊C₄	—	172	1	no	—
255	C₂×C₄²	—	172	1	no	—
256	C₂×C₁₆	—	2	1	no	—
257	C₂×C₁₆	—	2	1	no	—
258	C₂×C₁₆	—	2	1	no	—
259	C₂×C₁₆	—	86	1	no	—
260	C₂×C₁₆	—	86	1	no	—
261	C₂×C₁₆	—	86	1	no	—
262	#107	—	2	1	no	—
263	#107	—	43	2	no	—
264	#107	—	43	2	no	—
265	#107	—	86	1	no	—
266	#107	—	86	1	no	—
267	#107	C₂²⋊D₄₃	1	2	yes	complemented
268	#106	—	86	4	no	—
269	#102	—	86	4	no	—
270	C₂⁴	—	4	1	no	—
271	C₂⁴	—	43	1	no	—
272	C₂×D₄	—	2	2	no	—
273	C₂×D₄	—	4	1	no	—
274	C₂×D₄	—	4	1	no	—
275	C₂×D₄	—	4	1	no	—
276	C₂×D₄	—	4	1	no	—
277	C₂×D₄	—	4	1	no	—
278	C₂×D₄	—	344	2	no	—
279	C₂×D₄	—	344	2	no	—
280	C₂×D₄	—	172	4	no	—
281	C₂²×C₄	—	4	1	no	—
282	C₂²×C₄	—	43	1	no	—
283	C₂²×C₄	—	43	2	no	—
284	C₂²×C₄	—	43	2	no	—
285	C₂²×C₄	—	86	1	no	—
286	C₂²×C₄	—	86	1	no	—
287	C₂²×C₄	—	86	1	no	—
288	C₂²×C₄	—	86	1	no	—
289	C₂²×C₄	—	172	1	no	—
290	C₂²×C₄	—	172	1	no	—
291	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
292	D₈	—	2	2	no	—
293	D₈	—	2	2	no	—
294	D₈	—	4	1	no	—
295	D₈	—	4	1	no	—
296	C₂×C₈	—	43	2	no	—
297	C₂×C₈	—	86	1	no	—
298	C₂×C₈	—	86	1	no	—
299	C₂×C₈	—	86	2	no	—
300	C₂×C₈	—	86	2	no	—
301	C₂×C₈	—	86	2	no	—
302	C₂×C₈	—	86	2	no	—
303	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
304	C₂×C₈	#10621898	1	1	yes	characteristic
305	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
306	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
307	C₂×C₈	#10621900	1	1	yes	characteristic
308	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
309	C₄⋊C₄	—	2	2	no	—
310	C₄⋊C₄	—	4	1	no	—
311	C₄⋊C₄	—	86	2	no	—
312	C₄⋊C₄	—	86	2	no	—
313	C₄⋊C₄	—	172	1	no	—
314	C₄⋊C₄	—	172	1	no	—
315	C₂²⋊C₄	—	172	4	no	—
316	C₂²⋊C₄	—	172	4	no	—
317	C₄²	—	172	4	no	—
318	C₁₆	—	4	1	no	—
319	C₁₆	—	172	1	no	—
320	C₂³	—	4	2	no	—
321	C₂³	—	8	1	no	—
322	C₂³	—	8	1	no	—
323	C₂³	—	8	1	no	—
324	C₂³	—	8	1	no	—
325	C₂³	—	8	1	no	—
326	C₂³	—	8	1	no	—
327	C₂³	—	43	2	no	—
328	C₂³	—	86	1	no	—
329	C₂³	—	86	1	no	—
330	C₂³	—	86	1	no	—
331	C₂³	—	86	1	no	—
332	C₂³	—	86	1	no	—
333	C₂³	—	86	1	no	—
334	C₂³	D₈×D₄₃	1	1	yes	characteristic
335	D₄	—	4	2	no	—
336	D₄	—	4	2	no	—
337	D₄	—	8	1	no	—
338	D₄	—	8	1	no	—
339	D₄	—	344	8	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	—	8	1	no	—
342	C₂×C₄	—	8	1	no	—
343	C₂×C₄	—	43	2	no	—
344	C₂×C₄	—	86	1	no	—
345	C₂×C₄	—	86	1	no	—
346	C₂×C₄	—	86	2	no	—
347	C₂×C₄	—	86	2	no	—
348	C₂×C₄	—	86	2	no	—
349	C₂×C₄	—	86	2	no	—
350	C₂×C₄	—	344	1	no	—
351	C₂×C₄	—	344	1	no	—
352	C₂×C₄	—	344	1	no	—
353	C₂×C₄	—	344	1	no	—
354	C₂×C₄	—	172	2	no	—
355	C₂×C₄	—	172	2	no	—
356	C₂×C₄	C₂²⋊C₄×D₄₃	1	1	yes	characteristic
357	C₂×C₄	#13063293	1	1	yes	characteristic
358	C₂×C₄	#13063307	1	1	yes	characteristic
359	C₂×C₄	SD₁₆×D₄₃	1	1	yes	characteristic
360	C₂×C₄	#13063349	1	1	yes	characteristic
361	C₂×C₄	#13063354	1	1	yes	characteristic
362	C₈	—	86	2	no	—
363	C₈	(C₂²⋊D₄₃)⋊C₄	1	1	yes	characteristic
364	C₈	C₄×C₂²⋊D₄₃	1	1	yes	characteristic
365	C₈	#13063296	1	1	yes	characteristic
366	C₈	#13063298	1	1	yes	characteristic
367	C₂²	—	8	2	no	—
368	C₂²	—	8	2	no	—
369	C₂²	—	8	2	no	—
370	C₂²	—	16	1	no	—
371	C₂²	—	16	1	no	—
372	C₂²	—	16	1	no	—
373	C₂²	—	16	1	no	—
374	C₂²	—	86	2	no	—
375	C₂²	—	86	2	no	—
376	C₂²	—	86	2	no	—
377	C₂²	—	172	1	no	—
378	C₂²	—	172	1	no	—
379	C₂²	—	172	1	no	—
380	C₂²	—	172	1	no	—
381	C₂²	#102×D₄₃	1	1	yes	characteristic
382	C₂²	#14583031	1	1	yes	characteristic
383	C₂²	#14583211	1	1	yes	characteristic
384	C₂²	#14583328	1	1	yes	characteristic
385	C₂²	#14583330	1	1	yes	characteristic
386	C₂²	#14583333	1	1	yes	characteristic
387	C₂²	#14583336	1	1	yes	characteristic
388	C₄	—	8	2	no	—
389	C₄	—	86	2	no	—
390	C₄	—	344	2	no	—
391	C₄	—	344	2	no	—
392	C₄	#14582775	1	1	yes	characteristic
393	C₄	#14582897	1	1	yes	characteristic
394	C₄	#14583036	1	1	yes	characteristic
395	C₄	#14583216	1	1	yes	characteristic
396	C₂	—	16	2	no	—
397	C₂	—	172	2	no	—
398	C₂	#19134909	1	1	yes	characteristic
399	C₂	#19136299	1	1	yes	characteristic
400	C₂	#19136309	1	1	yes	characteristic
401	C₂	#19136515	1	1	yes	characteristic
402	C₂	#19136517	1	1	yes	characteristic
403	C₂	#19136784	1	1	yes	characteristic
404	C₂	#19136785	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	D₈×D₄₃
commutator	C₂×C₈×C₄₃	C₂²×C₄
Frattini	C₂²×C₈	C₂²×D₄₃
Fitting	C₂×C₄₃×#357	C₂
socle	C₂³×C₄₃	C₂×D₈
prime radical	C₂×#14583132	C₂
cosocle	C₂²×C₈×C₄₃	C₂³
hypercenter	C₂×#357	D₄₃
hypocenter	C₄₃	#12992
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ C₂×#357

Complements

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

N	H ≅ G/N	type
2. C₂×#14582936	C₂	semidirect
3. C₂×#14582700	C₂	semidirect
4. C₂×(C₂×D₄₃)⋊C₁₆	C₂	semidirect
5. #19132687	C₂	semidirect
6. #19132686	C₂	semidirect
7. C₂×C₄₃×#357	C₂	semidirect
13. #14583132	C₄	semidirect
50. #13063259	D₄	semidirect
66. #107×C₄₃	D₄	semidirect
197. C₂×#357	D₄₃	semidirect
228. C₄₃	#12992	semidirect
267. #107	C₂²⋊D₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583132	2
C₂×#14582936	2
C₂×#14582700	2
C₂×(C₂×D₄₃)⋊C₁₆	2
#19132687	2
#19132686	2
C₂×C₄₃×#357	2
#12992	43