Subgroups — #25251666

Order 11008.

592 conjugacy classes of subgroups.

The subgroup lattice has 416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×#13063347	C₂	1	1	yes	maximal, characteristic, complemented
2	#19136783	C₂	1	2	yes	maximal, complemented
3	#19136734	C₂	1	1	yes	maximal, characteristic, complemented
4	#19136729	C₂	1	1	yes	maximal, characteristic, complemented
5	#19136632	C₂	1	1	yes	maximal, characteristic, complemented
6	#19136627	C₂	1	1	yes	maximal, characteristic, complemented
7	#19136516	C₂	1	2	yes	maximal, complemented
8	#19136469	C₂	1	2	yes	maximal, complemented
9	#19136459	C₂	1	2	yes	maximal, complemented
10	#19136398	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#3169	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13063347	C₂²	1	1	yes	characteristic
13	C₄×#10621898	—	2	1	no	—
14	C₂×#13063269	C₂²	1	2	yes	—
15	C₂×#13063266	C₂²	1	2	yes	—
16	C₄×Dic₁₇₂	C₂²	1	1	yes	characteristic
17	C₄×Dic₁₇₂	C₂²	1	1	yes	characteristic
18	C₄×#10621873	—	2	1	no	—
19	C₄×#10621873	—	2	1	no	—
20	C₄×D₃₄₄	C₂²	1	1	yes	characteristic
21	C₄×D₃₄₄	C₂²	1	1	yes	characteristic
22	#14582937	C₂²	1	1	yes	characteristic
23	#14582896	—	2	1	no	—
24	#14582726	C₂²	1	2	yes	—
25	#14582724	C₂²	1	2	yes	—
26	C₄⋊(C₄₃⋊C₁₆)	C₂²	1	1	yes	characteristic
27	C₄⋊(C₄₃⋊C₁₆)	C₂²	1	1	yes	characteristic
28	#14582702	C₂²	1	2	yes	—
29	#14582700	C₂²	1	2	yes	—
30	#14582700	C₂²	1	2	yes	—
31	#14582699	C₂²	1	2	yes	—
32	C₂²⋊(C₄₃⋊C₁₆)	C₂²	1	2	yes	—
33	#14582675	C₂²	1	2	yes	—
34	C₄₃×#532	—	2	1	no	—
35	C₄₃×#500	C₂²	1	1	yes	characteristic
36	C₄₃×#493	C₂²	1	1	yes	characteristic
37	C₄₃×#486	—	2	1	no	—
38	C₄₃×#466	—	2	1	no	—
39	C₄₃×#466	C₂²	1	2	yes	—
40	C₄×D₈×C₄₃	—	2	1	no	—
41	C₄×D₈×C₄₃	C₂²	1	2	yes	—
42	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
43	C₂×#10621898	—	2	1	no	—
44	#13063347	—	2	2	no	—
45	#13063347	—	2	2	no	—
46	C₂×Dic₁₇₂	C₂³	1	1	yes	characteristic
47	C₂×#10621873	—	2	1	no	—
48	C₂×D₃₄₄	C₂³	1	1	yes	characteristic
49	C₄×Dic₈₆	—	2	1	no	—
50	C₄×Dic₈₆	—	2	1	no	—
51	C₄×D₁₇₂	—	2	1	no	—
52	C₄×D₁₇₂	—	2	1	no	—
53	C₄×C₂²⋊D₄₃	—	4	1	no	—
54	C₄×C₂²⋊D₄₃	—	4	1	no	—
55	#13063284	—	2	1	no	—
56	#13063282	—	4	1	no	—
57	C₄²×D₄₃	—	4	1	no	—
58	#13063269	—	2	4	no	—
59	#13063266	—	2	4	no	—
60	C₂×C₄₃⋊C₁₆	C₂³	1	2	yes	—
61	C₂×C₄₃⋊C₁₆	C₂³	1	2	yes	—
62	#13063259	C₂³	1	1	yes	characteristic
63	#13063259	C₂³	1	1	yes	characteristic
64	#13063257	—	2	1	no	—
65	#13063250	—	2	1	no	—
66	#13063250	—	2	1	no	—
67	#13063247	—	2	1	no	—
68	#13063247	—	2	1	no	—
69	C₂×#41×C₄₃	—	4	1	no	—
70	C₂×D₈×C₄₃	—	2	1	no	—
71	C₂×D₈×C₄₃	C₂³	1	2	yes	—
72	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
73	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
74	C₄⋊Q₈×C₄₃	—	2	1	no	—
75	#127×C₄₃	—	2	1	no	—
76	#124×C₄₃	—	4	1	no	—
77	#121×C₄₃	—	2	2	no	—
78	#121×C₄₃	—	4	1	no	—
79	C₄×D₄×C₄₃	—	2	2	no	—
80	C₄×D₄×C₄₃	—	4	1	no	—
81	C₂×C₄²×C₄₃	D₄	1	1	yes	characteristic
82	#107×C₄₃	—	2	1	no	—
83	#107×C₄₃	C₂³	1	2	yes	—
84	#102×C₄₃	—	2	2	no	—
85	#102×C₄₃	—	2	2	no	—
86	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
87	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
88	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
89	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
90	#41×C₄₃	—	8	4	no	—
91	C₂×Q₈×C₄₃	—	4	1	no	—
92	C₂×D₄×C₄₃	—	2	2	no	—
93	C₂×D₄×C₄₃	—	4	1	no	—
94	C₂×D₄×C₄₃	—	4	1	no	—
95	C₂×D₄×C₄₃	—	4	2	no	—
96	C₂²×C₄×C₄₃	—	4	2	no	—
97	C₂²×C₄×C₄₃	D₈	1	1	yes	characteristic
98	C₂²×C₄×C₄₃	D₈	1	1	yes	characteristic
99	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
100	C₂×C₂²⋊D₄₃	—	4	1	no	—
101	#10621898	—	2	4	no	—
102	#10621898	—	4	2	no	—
103	C₂×D₁₇₂	—	2	1	no	—
104	C₂×C₄×D₄₃	—	4	1	no	—
105	C₂×C₄×D₄₃	—	4	1	no	—
106	C₂×C₄×D₄₃	—	4	1	no	—
107	C₂×Dic₈₆	—	2	1	no	—
108	D₈×C₄₃	—	2	2	no	—
109	D₈×C₄₃	—	2	2	no	—
110	D₈×C₄₃	—	4	2	no	—
111	C₂×C₈×C₄₃	—	2	1	no	—
112	C₂×C₈×C₄₃	—	2	1	no	—
113	C₂×C₈×C₄₃	—	4	1	no	—
114	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
115	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
116	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
117	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
118	C₄⋊C₄×C₄₃	—	2	2	no	—
119	C₄⋊C₄×C₄₃	—	4	1	no	—
120	C₂²⋊C₄×C₄₃	—	4	2	no	—
121	C₂²⋊C₄×C₄₃	—	4	2	no	—
122	C₄²×C₄₃	D₈	1	1	yes	characteristic
123	C₄²×C₄₃	D₈	1	1	yes	characteristic
124	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
125	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
126	C₂²⋊Dic₄₃	—	4	1	no	—
127	(C₂×D₄₃)⋊C₄	—	4	1	no	—
128	(C₂×D₄₃)⋊C₄	—	4	1	no	—
129	C₄⋊Dic₄₃	—	2	1	no	—
130	C₄⋊Dic₄₃	—	2	1	no	—
131	Dic₄₃⋊C₄	—	4	1	no	—
132	Dic₄₃⋊C₄	—	4	1	no	—
133	C₄×Dic₄₃	—	4	1	no	—
134	C₄×Dic₄₃	—	4	1	no	—
135	C₄×Dic₄₃	—	4	1	no	—
136	Dic₁₇₂	—	2	1	no	—
137	Dic₁₇₂	#41	1	2	yes	complemented
138	D₃₄₄	—	2	1	no	—
139	D₃₄₄	#41	1	2	yes	complemented
140	#10621873	—	2	4	no	—
141	C₄₃⋊C₁₆	—	2	2	no	—
142	C₄₃⋊C₁₆	—	2	2	no	—
143	C₂³×C₄₃	—	4	2	no	—
144	C₂³×C₄₃	C₂×D₈	1	1	yes	characteristic
145	C₂²×D₄₃	—	4	1	no	—
146	Q₈×C₄₃	—	8	2	no	—
147	D₄×C₄₃	—	4	2	no	—
148	D₄×C₄₃	—	4	2	no	—
149	D₄×C₄₃	—	8	2	no	—
150	D₄×C₄₃	—	8	4	no	—
151	D₄×C₄₃	—	8	2	no	—
152	C₂×C₄×C₄₃	—	2	1	no	—
153	C₂×C₄×C₄₃	—	2	1	no	—
154	C₂×C₄×C₄₃	—	2	2	no	—
155	C₂×C₄×C₄₃	—	4	1	no	—
156	C₂×C₄×C₄₃	—	4	2	no	—
157	C₂×C₄×C₄₃	—	8	4	no	—
158	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
159	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
160	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
161	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
162	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
163	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
164	C₂²⋊D₄₃	—	4	4	no	—
165	C₂×Dic₄₃	—	4	1	no	—
166	C₂×Dic₄₃	—	4	1	no	—
167	C₂×Dic₄₃	—	4	1	no	—
168	D₁₇₂	—	2	2	no	—
169	D₁₇₂	—	4	1	no	—
170	C₄×D₄₃	—	4	4	no	—
171	C₄×D₄₃	—	8	2	no	—
172	C₄×D₄₃	—	8	2	no	—
173	Dic₈₆	—	2	2	no	—
174	Dic₈₆	—	4	1	no	—
175	C₈×C₄₃	—	2	1	no	—
176	C₈×C₄₃	—	2	1	no	—
177	C₈×C₄₃	—	2	1	no	—
178	C₈×C₄₃	C₂×#41	1	1	yes	characteristic
179	C₈×C₄₃	C₂×#41	1	1	yes	characteristic
180	#33675	—	43	1	no	maximal, Sylow
181	C₂²×C₄₃	—	2	1	no	—
182	C₂²×C₄₃	—	2	1	no	—
183	C₂²×C₄₃	—	2	1	no	—
184	C₂²×C₄₃	—	8	2	no	—
185	C₂²×C₄₃	—	8	2	no	—
186	C₂²×C₄₃	—	8	2	no	—
187	C₂²×C₄₃	C₂²×D₈	1	1	yes	characteristic
188	C₂×D₄₃	—	4	2	no	—
189	C₂×D₄₃	—	8	1	no	—
190	C₂×D₄₃	—	8	1	no	—
191	C₄×C₄₃	—	2	1	no	—
192	C₄×C₄₃	—	2	1	no	—
193	C₄×C₄₃	—	2	1	no	—
194	C₄×C₄₃	—	2	1	no	—
195	C₄×C₄₃	—	8	2	no	—
196	C₄×C₄₃	#509	1	2	yes	—
197	C₄×C₄₃	#525	1	1	yes	characteristic
198	C₄×C₄₃	#575	1	1	yes	characteristic
199	Dic₄₃	—	4	2	no	—
200	Dic₄₃	—	8	1	no	—
201	Dic₄₃	—	8	1	no	—
202	#3169	D₄₃	1	1	yes	characteristic, complemented
203	C₄×#135	—	43	1	no	—
204	#2234	—	43	2	no	—
205	#2225	—	43	1	no	—
206	#2224	—	43	1	no	—
207	#2207	—	43	1	no	—
208	#2206	—	43	1	no	—
209	#2186	—	43	2	no	—
210	#2177	—	43	2	no	—
211	#2175	—	43	2	no	—
212	#2163	—	43	1	no	—
213	C₂×C₄₃	—	4	1	no	—
214	C₂×C₄₃	—	16	2	no	—
215	C₂×C₄₃	#3100	1	1	yes	characteristic
216	C₂×C₄₃	C₂×#509	1	1	yes	characteristic
217	C₂×C₄₃	#3414	1	1	yes	characteristic
218	D₄₃	—	8	2	no	—
219	C₂×#135	—	43	1	no	—
220	#532	—	2	1	no	—
221	C₄×#41	—	86	1	no	—
222	C₂×SD₃₂	—	43	2	no	—
223	C₂×D₁₆	—	43	2	no	—
224	#500	C₂×D₄₃	1	1	yes	characteristic
225	#493	C₂×D₄₃	1	1	yes	characteristic
226	#486	—	2	1	no	—
227	#466	—	2	1	no	—
228	#466	C₂×D₄₃	1	2	yes	—
229	C₄×Q₁₆	—	43	1	no	—
230	C₄×Q₁₆	—	43	1	no	—
231	C₄×SD₁₆	—	86	1	no	—
232	C₄×SD₁₆	—	86	1	no	—
233	C₄×D₈	—	2	1	no	—
234	C₄×D₈	—	43	1	no	—
235	C₄×D₈	—	43	1	no	—
236	C₄×D₈	C₂×D₄₃	1	2	yes	—
237	#427	—	43	1	no	—
238	#416	—	86	1	no	—
239	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
240	#367	—	43	2	no	—
241	#366	—	43	2	no	—
242	C₄⋊C₁₆	—	43	1	no	—
243	C₄⋊C₁₆	—	43	1	no	—
244	#358	—	43	2	no	—
245	#357	—	43	2	no	—
246	#357	—	43	2	no	—
247	#357	—	43	2	no	—
248	C₂²⋊C₁₆	—	43	2	no	—
249	#346	—	43	2	no	—
250	C₄₃	#33675	1	1	yes	characteristic, complemented, Sylow
251	C₂×#41	—	4	1	no	—
252	C₂×#41	—	86	1	no	—
253	#135	—	86	2	no	—
254	#135	—	86	2	no	—
255	C₂×Q₁₆	—	43	1	no	—
256	C₂×SD₁₆	—	86	1	no	—
257	C₂×D₈	—	2	1	no	—
258	C₂×D₈	—	43	1	no	—
259	C₂×D₈	C₂²×D₄₃	1	2	yes	—
260	C₂²×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
261	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
262	C₄⋊Q₈	—	2	1	no	—
263	#127	—	2	1	no	—
264	#124	—	4	1	no	—
265	#121	—	2	2	no	—
266	#121	—	4	1	no	—
267	C₄×Q₈	—	86	1	no	—
268	C₄×Q₈	—	86	1	no	—
269	C₄×D₄	—	2	2	no	—
270	C₄×D₄	—	4	1	no	—
271	C₄×D₄	—	86	1	no	—
272	C₄×D₄	—	86	1	no	—
273	C₄×D₄	—	172	1	no	—
274	C₄×D₄	—	172	1	no	—
275	#117	—	86	1	no	—
276	#117	—	172	1	no	—
277	C₂×C₄²	—	172	1	no	—
278	C₂×C₄²	C₂²⋊D₄₃	1	1	yes	characteristic
279	SD₃₂	—	86	4	no	—
280	D₁₆	—	86	4	no	—
281	C₂×C₁₆	—	43	2	no	—
282	C₂×C₁₆	—	43	2	no	—
283	#107	—	2	1	no	—
284	#107	—	43	1	no	—
285	#107	—	43	1	no	—
286	#107	C₂²×D₄₃	1	2	yes	—
287	#106	—	86	1	no	—
288	#103	—	86	1	no	—
289	#103	—	86	1	no	—
290	#102	—	2	2	no	—
291	#102	—	2	2	no	—
292	#102	—	86	1	no	—
293	#102	—	86	1	no	—
294	C₄×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
295	C₄×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
296	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
297	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
298	#41	—	8	4	no	—
299	#41	—	86	4	no	—
300	#41	—	172	2	no	—
301	C₂×Q₈	—	4	1	no	—
302	C₂×Q₈	—	86	1	no	—
303	C₂×D₄	—	2	2	no	—
304	C₂×D₄	—	4	2	no	—
305	C₂×D₄	—	4	1	no	—
306	C₂×D₄	—	4	1	no	—
307	C₂×D₄	—	86	1	no	—
308	C₂×D₄	—	172	1	no	—
309	C₂²×C₄	—	4	2	no	—
310	C₂²×C₄	—	172	1	no	—
311	C₂²×C₄	—	172	1	no	—
312	C₂²×C₄	—	172	1	no	—
313	C₂²×C₄	#10621882	1	1	yes	characteristic
314	C₂²×C₄	#10621882	1	1	yes	characteristic
315	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
316	Q₁₆	—	43	2	no	—
317	Q₁₆	—	86	1	no	—
318	SD₁₆	—	86	4	no	—
319	D₈	—	2	2	no	—
320	D₈	—	2	2	no	—
321	D₈	—	4	2	no	—
322	D₈	—	43	2	no	—
323	D₈	—	86	1	no	—
324	C₂×C₈	—	2	1	no	—
325	C₂×C₈	—	2	1	no	—
326	C₂×C₈	—	4	1	no	—
327	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
328	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
329	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
330	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
331	C₄⋊C₄	—	2	2	no	—
332	C₄⋊C₄	—	4	1	no	—
333	C₄⋊C₄	—	86	1	no	—
334	C₄⋊C₄	—	86	1	no	—
335	C₄⋊C₄	—	172	1	no	—
336	C₄⋊C₄	—	172	1	no	—
337	C₂²⋊C₄	—	4	2	no	—
338	C₂²⋊C₄	—	4	2	no	—
339	C₂²⋊C₄	—	172	1	no	—
340	C₂²⋊C₄	—	172	1	no	—
341	C₂²⋊C₄	—	172	1	no	—
342	C₄²	—	172	1	no	—
343	C₄²	—	172	1	no	—
344	C₄²	—	172	1	no	—
345	C₄²	#10621882	1	1	yes	characteristic
346	C₄²	#10621882	1	1	yes	characteristic
347	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
348	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
349	C₁₆	—	86	2	no	—
350	C₁₆	—	86	2	no	—
351	C₂³	—	4	2	no	—
352	C₂³	—	172	1	no	—
353	C₂³	C₂×#10621882	1	1	yes	characteristic
354	Q₈	—	8	2	no	—
355	Q₈	—	86	2	no	—
356	Q₈	—	172	1	no	—
357	D₄	—	4	2	no	—
358	D₄	—	4	2	no	—
359	D₄	—	8	2	no	—
360	D₄	—	8	4	no	—
361	D₄	—	8	2	no	—
362	D₄	—	86	2	no	—
363	D₄	—	172	4	no	—
364	D₄	—	172	1	no	—
365	C₂×C₄	—	2	2	no	—
366	C₂×C₄	—	2	1	no	—
367	C₂×C₄	—	2	1	no	—
368	C₂×C₄	—	4	1	no	—
369	C₂×C₄	—	4	2	no	—
370	C₂×C₄	—	8	4	no	—
371	C₂×C₄	—	344	2	no	—
372	C₂×C₄	—	344	2	no	—
373	C₂×C₄	—	172	4	no	—
374	C₂×C₄	—	172	1	no	—
375	C₂×C₄	—	172	1	no	—
376	C₂×C₄	—	172	1	no	—
377	C₂×C₄	C₂×#10621882	1	1	yes	characteristic
378	C₂×C₄	C₂×#10621882	1	1	yes	characteristic
379	C₂×C₄	C₂×#10621882	1	1	yes	characteristic
380	C₂×C₄	C₂×#10621882	1	1	yes	characteristic
381	C₂×C₄	C₂×#10621882	1	1	yes	characteristic
382	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
383	C₈	—	2	1	no	—
384	C₈	—	2	1	no	—
385	C₈	—	2	1	no	—
386	C₈	#41×D₄₃	1	1	yes	characteristic
387	C₈	#41×D₄₃	1	1	yes	characteristic
388	C₂²	—	2	1	no	—
389	C₂²	—	2	1	no	—
390	C₂²	—	2	1	no	—
391	C₂²	—	8	2	no	—
392	C₂²	—	8	2	no	—
393	C₂²	—	8	2	no	—
394	C₂²	—	344	1	no	—
395	C₂²	—	344	1	no	—
396	C₂²	—	172	2	no	—
397	C₂²	C₂²×#10621882	1	1	yes	characteristic
398	C₄	—	2	1	no	—
399	C₄	—	2	1	no	—
400	C₄	—	2	1	no	—
401	C₄	—	2	1	no	—
402	C₄	—	8	2	no	—
403	C₄	—	344	1	no	—
404	C₄	—	344	1	no	—
405	C₄	—	172	2	no	—
406	C₄	#14583335	1	2	yes	—
407	C₄	#14583406	1	1	yes	characteristic
408	C₄	#14583697	1	1	yes	characteristic
409	C₂	—	4	1	no	—
410	C₂	—	16	2	no	—
411	C₂	—	344	2	no	—
412	C₂	#19144591	1	1	yes	characteristic
413	C₂	C₂×#14583335	1	1	yes	characteristic
414	C₂	#19147729	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×#10621882
commutator, cosocle	C₂×C₈×C₄₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₄₃×#3169	C₂
socle	C₂²×C₄₃	C₂²×D₈
hypercenter	#3169	D₄₃
hypocenter	C₄₃	#33675
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×C₄×C₈ ◁ #3169

Complements

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

N	H ≅ G/N	type
1. C₄×#13063347	C₂	semidirect
2. #19136783	C₂	semidirect
3. #19136734	C₂	semidirect
4. #19136729	C₂	semidirect
5. #19136632	C₂	semidirect
6. #19136627	C₂	semidirect
7. #19136516	C₂	semidirect
8. #19136469	C₂	semidirect
9. #19136459	C₂	semidirect
10. #19136398	C₂	semidirect
11. C₄₃×#3169	C₂	semidirect
137. Dic₁₇₂	#41	semidirect
139. D₃₄₄	#41	semidirect
202. #3169	D₄₃	semidirect
250. C₄₃	#33675	semidirect

Maximal subgroups

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

subgroup	index
C₄×#13063347	2
#19136783	2
#19136734	2
#19136729	2
#19136632	2
#19136627	2
#19136516	2
#19136469	2
#19136459	2
#19136398	2
C₄₃×#3169	2
#33675	43