Subgroups — #25013996

Order 11008.

536 conjugacy classes of subgroups.

The subgroup lattice has 420 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×M₃₂×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#14583132	C₂	1	1	yes	maximal, characteristic
3	C₂×#14582712	C₂	1	1	yes	maximal, characteristic, complemented
4	#19134630	C₂	1	1	yes	maximal, characteristic, complemented
5	#19132705	C₂	1	1	yes	maximal, characteristic, complemented
6	#19132704	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₄₃×#361	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×C₈×D₄₃	C₂²	1	1	yes	characteristic
9	C₂×#13063296	—	2	1	no	—
10	C₂×#13063265	C₂²	1	1	yes	characteristic
11	C₂×#13063264	—	2	1	no	—
12	M₃₂×D₄₃	—	2	2	no	—
13	M₃₂×D₄₃	—	2	2	no	—
14	C₂×C₁₆×D₄₃	—	2	1	no	—
15	#14583132	—	2	1	no	—
16	#14583132	—	2	1	no	—
17	#14583132	C₄	1	2	yes	—
18	#14583132	C₄	1	2	yes	—
19	C₂×#13063261	C₂²	1	1	yes	characteristic
20	C₂×#13063259	C₂²	1	1	yes	characteristic
21	C₂×#13063246	—	2	1	no	—
22	#14582862	—	2	1	no	—
23	#14582712	—	2	2	no	—
24	#14582663	—	2	1	no	—
25	C₂²×D₈×C₄₃	C₂²	1	1	yes	characteristic
26	C₂×M₃₂×C₄₃	C₂²	1	1	yes	characteristic
27	C₂×#108×C₄₃	C₂²	1	1	yes	characteristic
28	C₄₃×#361	—	2	2	no	—
29	C₂²×C₂²⋊D₄₃	—	4	1	no	—
30	C₂²×C₄×D₄₃	D₄	1	1	yes	characteristic
31	C₂×#10621877	—	2	1	no	—
32	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
33	C₂×C₈×D₄₃	—	2	1	no	—
34	C₂×C₈×D₄₃	—	2	1	no	—
35	C₂×C₈×D₄₃	—	2	1	no	—
36	C₂×C₈×D₄₃	—	2	1	no	—
37	C₂×C₈×D₄₃	C₂×C₄	1	1	yes	characteristic
38	C₂×C₈×D₄₃	C₂×C₄	1	1	yes	characteristic
39	C₂×C₈×D₄₃	D₄	1	1	yes	characteristic
40	C₂×C₈×D₄₃	D₄	1	1	yes	characteristic
41	#13063296	—	2	2	no	—
42	#13063296	—	2	2	no	—
43	#13063296	—	4	1	no	—
44	#13063296	—	4	1	no	—
45	C₂×C₄⋊Dic₄₃	—	2	1	no	—
46	C₂×C₂²⋊Dic₄₃	—	4	1	no	—
47	#13063265	—	2	1	no	—
48	#13063265	D₄	1	2	yes	complemented
49	#13063264	—	2	4	no	—
50	C₂×C₄₃⋊C₁₆	—	2	1	no	—
51	C₁₆×D₄₃	—	2	4	no	—
52	#13063261	—	2	1	no	—
53	#13063261	—	2	1	no	—
54	#13063259	—	2	1	no	—
55	#13063259	C₂×C₄	1	2	yes	—
56	#13063246	—	2	2	no	—
57	#13063246	—	2	2	no	—
58	(C₂×D₄₃)⋊C₈	—	4	1	no	—
59	(C₂×D₄₃)⋊C₈	—	4	1	no	—
60	C₂²×D₄×C₄₃	—	2	1	no	—
61	C₂×D₈×C₄₃	—	2	1	no	—
62	C₂×D₈×C₄₃	—	2	1	no	—
63	C₂×D₈×C₄₃	—	2	1	no	—
64	C₂×D₈×C₄₃	—	2	1	no	—
65	C₂×D₈×C₄₃	—	2	1	no	—
66	C₂×D₈×C₄₃	C₂×C₄	1	2	yes	—
67	C₂×M₁₆×C₄₃	—	2	1	no	—
68	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
69	M₃₂×C₄₃	—	2	1	no	—
70	M₃₂×C₄₃	D₄	1	2	yes	complemented
71	C₂×C₁₆×C₄₃	—	2	1	no	—
72	#108×C₄₃	—	2	1	no	—
73	#108×C₄₃	—	2	1	no	—
74	C₂⁴×C₄₃	—	4	1	no	—
75	C₂³×D₄₃	SD₁₆	1	1	yes	characteristic
76	C₂×D₄×C₄₃	—	2	2	no	—
77	C₂×D₄×C₄₃	—	4	1	no	—
78	C₂×D₄×C₄₃	—	4	1	no	—
79	C₂×D₄×C₄₃	—	4	1	no	—
80	C₂×D₄×C₄₃	—	4	1	no	—
81	C₂×D₄×C₄₃	—	4	1	no	—
82	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
83	C₂×C₂²⋊D₄₃	—	4	2	no	—
84	C₂×C₂²⋊D₄₃	—	4	2	no	—
85	C₂×C₂²⋊D₄₃	—	8	4	no	—
86	C₂²×Dic₄₃	—	4	1	no	—
87	C₂²×Dic₄₃	SD₁₆	1	1	yes	characteristic
88	C₂×C₄×D₄₃	—	2	1	no	—
89	C₂×C₄×D₄₃	—	2	1	no	—
90	C₂×C₄×D₄₃	—	2	1	no	—
91	C₂×C₄×D₄₃	—	2	1	no	—
92	C₂×C₄×D₄₃	C₂²⋊C₄	1	1	yes	characteristic
93	C₂×C₄×D₄₃	C₂²⋊C₄	1	1	yes	characteristic
94	C₂×C₄×D₄₃	D₈	1	1	yes	characteristic
95	C₂×C₄×D₄₃	D₈	1	1	yes	characteristic
96	D₈×C₄₃	—	2	2	no	—
97	D₈×C₄₃	—	2	2	no	—
98	D₈×C₄₃	—	4	1	no	—
99	D₈×C₄₃	—	4	1	no	—
100	M₁₆×C₄₃	—	4	1	no	—
101	M₁₆×C₄₃	—	4	1	no	—
102	C₂×C₈×C₄₃	—	4	1	no	—
103	C₂×C₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
104	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
105	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
106	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
107	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
108	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
109	C₂²⋊Dic₄₃	—	4	2	no	—
110	C₂²⋊Dic₄₃	—	4	2	no	—
111	C₄⋊Dic₄₃	—	2	2	no	—
112	C₄⋊Dic₄₃	—	4	1	no	—
113	#10621877	—	4	1	no	—
114	#10621877	—	4	1	no	—
115	C₂×C₄₃⋊C₈	—	2	1	no	—
116	C₂×C₄₃⋊C₈	—	2	1	no	—
117	C₂×C₄₃⋊C₈	—	4	1	no	—
118	C₂×C₄₃⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
119	C₂×C₄₃⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
120	C₈×D₄₃	—	2	1	no	—
121	C₈×D₄₃	—	2	1	no	—
122	C₈×D₄₃	—	2	1	no	—
123	C₈×D₄₃	—	2	1	no	—
124	C₈×D₄₃	—	2	1	no	—
125	C₈×D₄₃	—	2	1	no	—
126	C₈×D₄₃	—	2	1	no	—
127	C₈×D₄₃	—	2	1	no	—
128	C₁₆×C₄₃	—	2	2	no	—
129	C₄₃⋊C₁₆	—	2	2	no	—
130	C₂³×C₄₃	—	4	2	no	—
131	C₂³×C₄₃	—	8	2	no	—
132	C₂³×C₄₃	—	8	2	no	—
133	C₂³×C₄₃	—	8	1	no	—
134	C₂³×C₄₃	—	8	1	no	—
135	C₂³×C₄₃	C₂×SD₁₆	1	1	yes	characteristic
136	C₂²×D₄₃	—	2	1	no	—
137	C₂²×D₄₃	—	2	1	no	—
138	C₂²×D₄₃	—	2	2	no	—
139	C₂²×D₄₃	—	4	1	no	—
140	C₂²×D₄₃	#102	1	1	yes	characteristic
141	C₂²×D₄₃	#102	1	1	yes	characteristic
142	D₄×C₄₃	—	4	2	no	—
143	D₄×C₄₃	—	4	2	no	—
144	D₄×C₄₃	—	8	1	no	—
145	D₄×C₄₃	—	8	1	no	—
146	C₂×C₄×C₄₃	C₂×C₂²⋊C₄	1	1	yes	characteristic
147	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
148	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
149	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
150	C₂×C₄×C₄₃	#135	1	1	yes	characteristic
151	C₂×C₄×C₄₃	#135	1	1	yes	characteristic
152	C₂²⋊D₄₃	—	8	4	no	—
153	C₂²⋊D₄₃	—	8	4	no	—
154	C₂×Dic₄₃	—	2	1	no	—
155	C₂×Dic₄₃	—	2	1	no	—
156	C₂×Dic₄₃	—	4	2	no	—
157	C₂×Dic₄₃	—	8	2	no	—
158	C₂×Dic₄₃	#102	1	1	yes	characteristic
159	C₂×Dic₄₃	#102	1	1	yes	characteristic
160	C₄×D₄₃	—	2	1	no	—
161	C₄×D₄₃	—	2	1	no	—
162	C₄×D₄₃	—	2	1	no	—
163	C₄×D₄₃	—	2	1	no	—
164	C₄×D₄₃	—	2	1	no	—
165	C₄×D₄₃	—	2	1	no	—
166	C₄×D₄₃	—	2	1	no	—
167	C₄×D₄₃	—	2	1	no	—
168	C₈×C₄₃	—	8	1	no	—
169	C₈×C₄₃	C₄×D₄	1	1	yes	characteristic
170	C₈×C₄₃	C₄×D₄	1	1	yes	characteristic
171	C₈×C₄₃	#120	1	1	yes	characteristic
172	C₈×C₄₃	#123	1	1	yes	characteristic
173	C₄₃⋊C₈	—	2	1	no	—
174	C₄₃⋊C₈	—	2	1	no	—
175	C₄₃⋊C₈	—	8	1	no	—
176	#13067	—	43	1	no	maximal, Sylow
177	C₂²×C₄₃	—	2	1	no	—
178	C₂²×C₄₃	—	2	1	no	—
179	C₂²×C₄₃	—	8	2	no	—
180	C₂²×C₄₃	—	8	2	no	—
181	C₂²×C₄₃	—	8	2	no	—
182	C₂²×C₄₃	—	16	2	no	—
183	C₂²×C₄₃	—	16	2	no	—
184	C₂²×C₄₃	C₂×#102	1	1	yes	characteristic
185	C₂²×C₄₃	#465	1	1	yes	characteristic
186	C₂²×C₄₃	#465	1	1	yes	characteristic
187	C₂×D₄₃	—	2	1	no	—
188	C₂×D₄₃	—	2	1	no	—
189	C₂×D₄₃	—	2	1	no	—
190	C₂×D₄₃	—	2	1	no	—
191	C₂×D₄₃	—	2	1	no	—
192	C₂×D₄₃	—	4	2	no	—
193	C₂×D₄₃	—	4	2	no	—
194	C₂×D₄₃	#361	1	2	yes	complemented
195	C₄×C₄₃	#386	1	1	yes	characteristic
196	C₄×C₄₃	#416	1	1	yes	characteristic
197	C₄×C₄₃	#466	1	1	yes	characteristic
198	C₄×C₄₃	#466	1	1	yes	characteristic
199	Dic₄₃	—	2	1	no	—
200	Dic₄₃	—	2	1	no	—
201	Dic₄₃	—	8	2	no	—
202	C₂²×M₃₂	—	43	1	no	—
203	C₂×#466	—	43	1	no	—
204	C₂×#361	—	43	1	no	—
205	C₂×#361	D₄₃	1	1	yes	characteristic, complemented
206	#1810	—	43	1	no	—
207	#1387	—	43	1	no	—
208	#1387	—	43	1	no	—
209	C₂×C₄₃	—	2	1	no	—
210	C₂×C₄₃	—	2	1	no	—
211	C₂×C₄₃	—	16	2	no	—
212	C₂×C₄₃	#1893	1	1	yes	characteristic
213	C₂×C₄₃	C₂×#361	1	1	yes	characteristic
214	C₂×C₄₃	#2148	1	1	yes	characteristic
215	D₄₃	—	2	2	no	—
216	D₄₃	—	4	1	no	—
217	C₂²×D₈	C₂×D₄₃	1	1	yes	characteristic
218	C₂³×C₈	—	43	1	no	—
219	C₂×#121	—	86	1	no	—
220	C₂×M₃₂	—	43	1	no	—
221	C₂×M₃₂	—	86	1	no	—
222	C₂×M₃₂	—	86	2	no	—
223	C₂×M₃₂	—	86	2	no	—
224	C₂×M₃₂	C₂×D₄₃	1	1	yes	characteristic
225	C₂²×C₁₆	—	86	1	no	—
226	#466	—	43	2	no	—
227	#466	—	43	2	no	—
228	#466	—	86	1	no	—
229	#466	—	86	1	no	—
230	C₂×#108	—	43	1	no	—
231	C₂×#108	C₂×D₄₃	1	1	yes	characteristic
232	C₂×#107	—	43	1	no	—
233	C₂×#102	—	86	1	no	—
234	#407	—	86	1	no	—
235	#361	—	2	2	no	—
236	#361	—	86	2	no	—
237	#341	—	86	1	no	—
238	C₄₃	#13067	1	1	yes	characteristic, complemented, Sylow
239	C₂²×D₄	—	2	1	no	—
240	C₂²×D₄	—	172	1	no	—
241	C₂³×C₄	—	43	1	no	—
242	C₂×D₈	—	2	1	no	—
243	C₂×D₈	—	2	1	no	—
244	C₂×D₈	—	2	1	no	—
245	C₂×D₈	—	2	1	no	—
246	C₂×D₈	—	2	1	no	—
247	C₂×D₈	C₄×D₄₃	1	2	yes	—
248	C₂×M₁₆	—	2	1	no	—
249	C₂×M₁₆	—	86	1	no	—
250	C₂²×C₈	—	43	1	no	—
251	C₂²×C₈	—	43	1	no	—
252	C₂²×C₈	—	43	1	no	—
253	C₂²×C₈	—	43	1	no	—
254	C₂²×C₈	—	43	1	no	—
255	C₂²×C₈	—	86	1	no	—
256	C₂²×C₈	—	86	1	no	—
257	C₂²×C₈	—	86	1	no	—
258	C₂²×C₈	—	86	1	no	—
259	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
260	#121	—	86	2	no	—
261	#121	—	86	2	no	—
262	#121	—	172	1	no	—
263	#121	—	172	1	no	—
264	C₂×C₄⋊C₄	—	86	1	no	—
265	C₂×C₂²⋊C₄	—	172	1	no	—
266	M₃₂	—	2	1	no	—
267	M₃₂	—	43	2	no	—
268	M₃₂	—	86	4	no	—
269	M₃₂	—	86	1	no	—
270	M₃₂	C₂²⋊D₄₃	1	2	yes	complemented
271	C₂×C₁₆	—	2	1	no	—
272	C₂×C₁₆	—	86	4	no	—
273	C₂×C₁₆	—	86	1	no	—
274	#108	—	2	1	no	—
275	#108	—	2	1	no	—
276	#108	—	86	1	no	—
277	#108	—	86	1	no	—
278	#107	—	43	2	no	—
279	#107	—	86	1	no	—
280	#102	—	86	2	no	—
281	#102	—	86	2	no	—
282	C₂²⋊C₈	—	172	1	no	—
283	C₂²⋊C₈	—	172	1	no	—
284	C₂⁴	—	4	1	no	—
285	C₂⁴	—	43	1	no	—
286	C₂×D₄	—	2	2	no	—
287	C₂×D₄	—	4	1	no	—
288	C₂×D₄	—	4	1	no	—
289	C₂×D₄	—	4	1	no	—
290	C₂×D₄	—	4	1	no	—
291	C₂×D₄	—	4	1	no	—
292	C₂×D₄	—	344	4	no	—
293	C₂×D₄	—	172	2	no	—
294	C₂×D₄	—	172	2	no	—
295	C₂²×C₄	—	43	1	no	—
296	C₂²×C₄	—	43	1	no	—
297	C₂²×C₄	—	43	1	no	—
298	C₂²×C₄	—	43	1	no	—
299	C₂²×C₄	—	43	1	no	—
300	C₂²×C₄	—	86	1	no	—
301	C₂²×C₄	—	86	1	no	—
302	C₂²×C₄	—	86	1	no	—
303	C₂²×C₄	—	86	1	no	—
304	C₂²×C₄	—	172	1	no	—
305	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
306	D₈	—	2	2	no	—
307	D₈	—	2	2	no	—
308	D₈	—	4	1	no	—
309	D₈	—	4	1	no	—
310	M₁₆	—	4	1	no	—
311	M₁₆	—	4	1	no	—
312	M₁₆	—	172	1	no	—
313	M₁₆	—	172	1	no	—
314	C₂×C₈	—	4	1	no	—
315	C₂×C₈	—	43	1	no	—
316	C₂×C₈	—	43	1	no	—
317	C₂×C₈	—	86	1	no	—
318	C₂×C₈	—	86	1	no	—
319	C₂×C₈	—	86	1	no	—
320	C₂×C₈	—	86	1	no	—
321	C₂×C₈	—	86	1	no	—
322	C₂×C₈	—	86	1	no	—
323	C₂×C₈	—	86	1	no	—
324	C₂×C₈	—	86	1	no	—
325	C₂×C₈	—	86	1	no	—
326	C₂×C₈	—	86	1	no	—
327	C₂×C₈	—	172	1	no	—
328	C₂×C₈	C₂×C₄×D₄₃	1	1	yes	characteristic
329	C₂×C₈	#10621898	1	1	yes	characteristic
330	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
331	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
332	C₂×C₈	#10621900	1	1	yes	characteristic
333	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
334	C₄⋊C₄	—	86	2	no	—
335	C₄⋊C₄	—	172	1	no	—
336	C₂²⋊C₄	—	172	2	no	—
337	C₂²⋊C₄	—	172	2	no	—
338	C₁₆	—	2	2	no	—
339	C₁₆	—	86	2	no	—
340	C₂³	—	4	2	no	—
341	C₂³	—	8	2	no	—
342	C₂³	—	8	2	no	—
343	C₂³	—	8	1	no	—
344	C₂³	—	8	1	no	—
345	C₂³	—	43	1	no	—
346	C₂³	—	43	1	no	—
347	C₂³	—	86	2	no	—
348	C₂³	—	86	1	no	—
349	C₂³	—	86	1	no	—
350	C₂³	—	172	1	no	—
351	C₂³	SD₁₆×D₄₃	1	1	yes	characteristic
352	D₄	—	4	2	no	—
353	D₄	—	4	2	no	—
354	D₄	—	8	1	no	—
355	D₄	—	8	1	no	—
356	D₄	—	344	4	no	—
357	D₄	—	344	4	no	—
358	C₂×C₄	—	43	1	no	—
359	C₂×C₄	—	43	1	no	—
360	C₂×C₄	—	86	1	no	—
361	C₂×C₄	—	86	1	no	—
362	C₂×C₄	—	86	1	no	—
363	C₂×C₄	—	86	1	no	—
364	C₂×C₄	—	86	1	no	—
365	C₂×C₄	—	86	1	no	—
366	C₂×C₄	—	86	1	no	—
367	C₂×C₄	—	86	1	no	—
368	C₂×C₄	—	86	1	no	—
369	C₂×C₄	—	86	1	no	—
370	C₂×C₄	—	344	2	no	—
371	C₂×C₄	—	172	2	no	—
372	C₂×C₄	C₂²⋊C₄×D₄₃	1	1	yes	characteristic
373	C₂×C₄	#13063296	1	1	yes	characteristic
374	C₂×C₄	#13063298	1	1	yes	characteristic
375	C₂×C₄	D₈×D₄₃	1	1	yes	characteristic
376	C₂×C₄	#13063344	1	1	yes	characteristic
377	C₂×C₄	#13063346	1	1	yes	characteristic
378	C₈	—	8	1	no	—
379	C₈	—	86	1	no	—
380	C₈	—	86	1	no	—
381	C₈	—	344	1	no	—
382	C₈	(C₂²⋊D₄₃)⋊C₄	1	1	yes	characteristic
383	C₈	C₄×C₂²⋊D₄₃	1	1	yes	characteristic
384	C₈	#13063293	1	1	yes	characteristic
385	C₈	#13063307	1	1	yes	characteristic
386	C₂²	—	2	1	no	—
387	C₂²	—	2	1	no	—
388	C₂²	—	8	2	no	—
389	C₂²	—	8	2	no	—
390	C₂²	—	8	2	no	—
391	C₂²	—	16	2	no	—
392	C₂²	—	16	2	no	—
393	C₂²	—	43	2	no	—
394	C₂²	—	86	1	no	—
395	C₂²	—	86	1	no	—
396	C₂²	—	86	1	no	—
397	C₂²	—	86	1	no	—
398	C₂²	—	86	1	no	—
399	C₂²	—	172	2	no	—
400	C₂²	—	172	2	no	—
401	C₂²	#102×D₄₃	1	1	yes	characteristic
402	C₂²	#14583125	1	1	yes	characteristic
403	C₂²	#14583127	1	1	yes	characteristic
404	C₄	—	86	1	no	—
405	C₄	—	86	1	no	—
406	C₄	—	344	2	no	—
407	C₄	#14582775	1	1	yes	characteristic
408	C₄	#14582892	1	1	yes	characteristic
409	C₄	#14583132	1	1	yes	characteristic
410	C₄	#14583134	1	1	yes	characteristic
411	C₂	—	2	1	no	—
412	C₂	—	2	1	no	—
413	C₂	—	16	2	no	—
414	C₂	—	86	2	no	—
415	C₂	—	172	1	no	—
416	C₂	#19135020	1	1	yes	characteristic
417	C₂	#361×D₄₃	1	1	yes	characteristic
418	C₂	#19136341	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#102×D₄₃
commutator	C₂×C₈×C₄₃	C₂²×C₄
Frattini	C₂²×C₈	C₂²×D₄₃
Fitting	C₂×C₄₃×#361	C₂
socle	C₂²×C₄₃	C₂×#102
prime radical	C₂×#14583132	C₂
cosocle	C₂²×C₈×C₄₃	C₂³
hypercenter	C₂×#361	D₄₃
hypocenter	C₄₃	#13067
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ C₂×#361

Complements

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

N	H ≅ G/N	type
1. C₂×M₃₂×D₄₃	C₂	semidirect
3. C₂×#14582712	C₂	semidirect
4. #19134630	C₂	semidirect
5. #19132705	C₂	semidirect
6. #19132704	C₂	semidirect
7. C₂×C₄₃×#361	C₂	semidirect
48. #13063265	D₄	semidirect
70. M₃₂×C₄₃	D₄	semidirect
194. C₂×D₄₃	#361	semidirect
205. C₂×#361	D₄₃	semidirect
238. C₄₃	#13067	semidirect
270. M₃₂	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×M₃₂×D₄₃	2
C₂×#14583132	2
C₂×#14582712	2
#19134630	2
#19132705	2
#19132704	2
C₂×C₄₃×#361	2
#13067	43