Subgroups — #25000441

Order 11008.

474 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×#14583186	C₂	1	1	yes	maximal, characteristic
2	#19135557	C₂	1	1	yes	maximal, characteristic, complemented
3	#19135388	C₂	1	1	yes	maximal, characteristic
4	#19134596	C₂	1	1	yes	maximal, characteristic
5	C₂×#14582649	C₂	1	1	yes	maximal, characteristic, complemented
6	#19132479	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₄₃×#333	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
9	#14583186	—	2	2	no	—
10	#14583186	—	2	2	no	—
11	C₂×#13063256	—	2	1	no	—
12	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
13	C₂×#13063247	—	2	1	no	—
14	C₂×#13063245	—	2	1	no	—
15	C₂×(C₂×D₄₃)⋊C₈	—	2	1	no	—
16	C₂×(C₂×D₄₃)⋊C₈	—	2	1	no	—
17	C₂×C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
18	#14582769	C₂²	1	1	yes	characteristic
19	#14582662	—	2	1	no	—
20	#14582661	—	2	1	no	—
21	#14582661	—	2	1	no	—
22	#14582649	—	2	2	no	—
23	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
24	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
25	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
26	C₄₃×#333	—	2	2	no	—
27	C₂²×D₁₇₂	D₄	1	1	yes	characteristic
28	C₂²×C₄×D₄₃	—	2	1	no	—
29	C₂²×C₄₃⋊C₈	—	2	1	no	—
30	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
31	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
32	C₄×D₁₇₂	—	2	1	no	—
33	C₄×D₁₇₂	—	2	1	no	—
34	C₄×D₁₇₂	—	2	1	no	—
35	C₄×D₁₇₂	—	2	1	no	—
36	C₂×C₄⋊Dic₄₃	—	2	1	no	—
37	C₂×C₄⋊Dic₄₃	—	2	1	no	—
38	C₂×C₄⋊Dic₄₃	—	2	1	no	—
39	C₂×C₄⋊Dic₄₃	D₄	1	1	yes	characteristic
40	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
41	#13063256	—	2	4	no	—
42	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
43	C₄⋊(C₄₃⋊C₈)	D₄	1	2	yes	—
44	#13063247	—	4	2	no	—
45	#13063245	—	2	4	no	—
46	(C₂×D₄₃)⋊C₈	—	4	2	no	—
47	(C₂×D₄₃)⋊C₈	—	4	2	no	—
48	C₄×C₄₃⋊C₈	—	2	1	no	—
49	C₄×C₄₃⋊C₈	—	2	1	no	—
50	C₂²×Q₈×C₄₃	—	2	1	no	—
51	C₂²×C₈×C₄₃	—	2	1	no	—
52	C₂²×C₈×C₄₃	—	2	1	no	—
53	C₄⋊Q₈×C₄₃	—	2	1	no	—
54	C₄⋊Q₈×C₄₃	—	2	1	no	—
55	C₄⋊Q₈×C₄₃	—	2	1	no	—
56	C₄⋊Q₈×C₄₃	D₄	1	2	yes	—
57	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
58	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
59	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
60	C₄⋊C₈×C₄₃	—	2	1	no	—
61	C₄⋊C₈×C₄₃	—	2	1	no	—
62	C₄⋊C₈×C₄₃	—	2	1	no	—
63	C₄⋊C₈×C₄₃	—	2	1	no	—
64	C₂³×D₄₃	—	2	1	no	—
65	C₂×Q₈×C₄₃	—	2	2	no	—
66	C₂×Q₈×C₄₃	—	4	1	no	—
67	C₂×Q₈×C₄₃	—	8	1	no	—
68	C₂×Q₈×C₄₃	—	8	1	no	—
69	C₂²×C₄×C₄₃	—	4	1	no	—
70	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
71	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
72	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
73	C₂²×Dic₄₃	—	2	1	no	—
74	C₂²×Dic₄₃	—	4	1	no	—
75	C₂×D₁₇₂	—	2	1	no	—
76	C₂×D₁₇₂	—	2	1	no	—
77	C₂×D₁₇₂	—	2	1	no	—
78	C₂×D₁₇₂	—	2	1	no	—
79	C₂×D₁₇₂	—	2	1	no	—
80	C₂×D₁₇₂	SD₁₆	1	2	yes	—
81	C₂×C₄×D₄₃	—	4	1	no	—
82	C₂×C₄×D₄₃	—	4	1	no	—
83	C₂×C₄×D₄₃	—	4	1	no	—
84	C₂×C₄×D₄₃	—	4	1	no	—
85	C₂×C₄×D₄₃	—	4	1	no	—
86	C₂×C₄×D₄₃	—	4	1	no	—
87	C₂×C₈×C₄₃	—	4	1	no	—
88	C₂×C₈×C₄₃	—	4	1	no	—
89	C₂×C₈×C₄₃	—	4	1	no	—
90	C₂×C₈×C₄₃	—	4	1	no	—
91	C₂×C₈×C₄₃	—	4	1	no	—
92	C₂×C₈×C₄₃	—	4	1	no	—
93	C₄⋊C₄×C₄₃	—	2	2	no	—
94	C₄⋊C₄×C₄₃	—	2	2	no	—
95	C₄⋊C₄×C₄₃	—	4	1	no	—
96	C₄⋊C₄×C₄₃	—	4	1	no	—
97	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
98	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
99	C₄²×C₄₃	#41	1	1	yes	characteristic
100	C₄²×C₄₃	#41	1	1	yes	characteristic
101	(C₂×D₄₃)⋊C₄	—	4	1	no	—
102	(C₂×D₄₃)⋊C₄	—	4	1	no	—
103	C₄⋊Dic₄₃	—	2	1	no	—
104	C₄⋊Dic₄₃	—	2	1	no	—
105	C₄⋊Dic₄₃	—	4	1	no	—
106	C₄⋊Dic₄₃	—	4	1	no	—
107	C₄⋊Dic₄₃	—	4	1	no	—
108	C₄⋊Dic₄₃	—	4	1	no	—
109	C₄⋊Dic₄₃	—	8	1	no	—
110	C₂×C₄₃⋊C₈	—	2	1	no	—
111	C₂×C₄₃⋊C₈	—	2	1	no	—
112	C₂×C₄₃⋊C₈	—	2	2	no	—
113	C₂×C₄₃⋊C₈	—	2	1	no	—
114	C₂×C₄₃⋊C₈	—	2	1	no	—
115	C₂×C₄₃⋊C₈	—	2	1	no	—
116	C₂×C₄₃⋊C₈	—	4	1	no	—
117	C₂×C₄₃⋊C₈	—	4	1	no	—
118	C₂×C₄₃⋊C₈	SD₁₆	1	2	yes	—
119	C₂³×C₄₃	#121	1	1	yes	characteristic
120	C₂²×D₄₃	—	2	2	no	—
121	C₂²×D₄₃	—	4	1	no	—
122	C₂²×D₄₃	—	4	1	no	—
123	C₂²×D₄₃	—	4	1	no	—
124	C₂²×D₄₃	—	4	1	no	—
125	C₂²×D₄₃	—	4	1	no	—
126	C₂²×D₄₃	—	4	1	no	—
127	Q₈×C₄₃	—	8	2	no	—
128	Q₈×C₄₃	—	8	2	no	—
129	C₂×C₄×C₄₃	—	2	1	no	—
130	C₂×C₄×C₄₃	—	2	1	no	—
131	C₂×C₄×C₄₃	—	4	2	no	—
132	C₂×C₄×C₄₃	—	8	1	no	—
133	C₂×C₄×C₄₃	—	8	1	no	—
134	C₂×C₄×C₄₃	#120	1	1	yes	characteristic
135	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
136	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
137	C₂×C₄×C₄₃	#123	1	1	yes	characteristic
138	C₂×C₄×C₄₃	#123	1	1	yes	characteristic
139	C₂×C₄×C₄₃	#124	1	1	yes	characteristic
140	C₂×C₄×C₄₃	C₂×SD₁₆	1	1	yes	characteristic
141	C₂×C₄×C₄₃	C₂×SD₁₆	1	1	yes	characteristic
142	C₂×C₄×C₄₃	#135	1	1	yes	characteristic
143	C₂×C₄×C₄₃	#135	1	1	yes	characteristic
144	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
145	C₂×C₄×C₄₃	#137	1	1	yes	characteristic
146	C₂×C₄×C₄₃	#137	1	1	yes	characteristic
147	C₂×C₄×C₄₃	#137	1	1	yes	characteristic
148	C₂×Dic₄₃	—	4	1	no	—
149	C₂×Dic₄₃	—	4	1	no	—
150	C₂×Dic₄₃	—	4	1	no	—
151	C₂×Dic₄₃	—	8	1	no	—
152	C₂×Dic₄₃	—	8	1	no	—
153	C₂×Dic₄₃	—	8	1	no	—
154	D₁₇₂	—	2	2	no	—
155	D₁₇₂	—	2	2	no	—
156	D₁₇₂	—	4	1	no	—
157	D₁₇₂	—	4	1	no	—
158	C₄×D₄₃	—	8	1	no	—
159	C₄×D₄₃	—	8	1	no	—
160	C₄×D₄₃	—	8	1	no	—
161	C₄×D₄₃	—	8	1	no	—
162	C₈×C₄₃	—	8	1	no	—
163	C₈×C₄₃	—	8	1	no	—
164	C₄₃⋊C₈	—	2	2	no	—
165	C₄₃⋊C₈	—	4	2	no	—
166	C₄₃⋊C₈	—	4	1	no	—
167	#10480	—	43	1	no	maximal, Sylow
168	C₂²×C₄₃	#394	1	1	yes	characteristic
169	C₂²×C₄₃	#461	1	1	yes	characteristic
170	C₂²×C₄₃	#463	1	1	yes	characteristic
171	C₂²×C₄₃	#465	1	1	yes	characteristic
172	C₂²×C₄₃	#470	1	1	yes	characteristic
173	C₂²×C₄₃	#471	1	1	yes	characteristic
174	C₂²×C₄₃	#472	1	1	yes	characteristic
175	C₂×D₄₃	—	4	2	no	—
176	C₂×D₄₃	—	4	2	no	—
177	C₂×D₄₃	—	4	2	no	—
178	C₂×D₄₃	—	8	1	no	—
179	C₂×D₄₃	—	8	1	no	—
180	C₂×D₄₃	—	8	1	no	—
181	C₂×D₄₃	—	8	1	no	—
182	C₄×C₄₃	—	2	1	no	—
183	C₄×C₄₃	—	2	1	no	—
184	C₄×C₄₃	—	8	2	no	—
185	C₄×C₄₃	#448	1	1	yes	characteristic
186	C₄×C₄₃	#452	1	1	yes	characteristic
187	C₄×C₄₃	#460	1	1	yes	characteristic
188	C₄×C₄₃	#464	1	1	yes	characteristic
189	C₄×C₄₃	#465	1	1	yes	characteristic
190	C₄×C₄₃	#468	1	1	yes	characteristic
191	C₄×C₄₃	#483	1	1	yes	characteristic
192	C₄×C₄₃	#485	1	1	yes	characteristic
193	Dic₄₃	—	8	1	no	—
194	Dic₄₃	—	16	1	no	—
195	C₂×#476	—	43	1	no	—
196	#1990	—	43	1	no	—
197	#1954	—	43	1	no	—
198	#1802	—	43	1	no	—
199	C₂×#334	—	43	1	no	—
200	C₂×#333	D₄₃	1	1	yes	characteristic, complemented
201	#1296	—	43	1	no	—
202	C₂×C₄₃	#1671	1	1	yes	characteristic
203	C₂×C₄₃	#1677	1	1	yes	characteristic
204	C₂×C₄₃	#1695	1	1	yes	characteristic
205	C₂×C₄₃	#1703	1	1	yes	characteristic
206	C₂×C₄₃	#2035	1	1	yes	characteristic
207	C₂×C₄₃	#2051	1	1	yes	characteristic
208	C₂×C₄₃	#2055	1	1	yes	characteristic
209	D₄₃	—	8	2	no	—
210	C₂×C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
211	C₂×C₄×D₄	—	43	1	no	—
212	#476	—	86	2	no	—
213	#476	—	86	2	no	—
214	C₂×#106	—	86	1	no	—
215	C₂×C₄⋊C₈	—	43	1	no	—
216	C₂×C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic
217	C₂×C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic
218	C₂×#102	—	86	1	no	—
219	C₂×#102	—	86	1	no	—
220	C₂×C₂²⋊C₈	—	86	1	no	—
221	C₂×C₂²⋊C₈	—	86	1	no	—
222	C₂×C₄×C₈	—	43	1	no	—
223	#384	—	43	1	no	—
224	#340	—	86	1	no	—
225	#340	—	86	1	no	—
226	#340	—	86	1	no	—
227	#334	—	86	2	no	—
228	#333	—	2	2	no	—
229	C₄₃	#10480	1	1	yes	characteristic, complemented, Sylow
230	C₂²×Q₈	—	2	1	no	—
231	C₂²×D₄	—	43	1	no	—
232	C₂³×C₄	—	86	1	no	—
233	C₂²×C₈	—	2	1	no	—
234	C₂²×C₈	—	2	1	no	—
235	C₂²×C₈	—	43	1	no	—
236	C₂²×C₈	—	43	1	no	—
237	C₂²×C₈	—	86	1	no	—
238	C₄⋊Q₈	—	2	1	no	—
239	C₄⋊Q₈	—	2	1	no	—
240	C₄⋊Q₈	—	2	1	no	—
241	C₄⋊Q₈	C₂²⋊D₄₃	1	2	yes	—
242	C₄×D₄	—	86	1	no	—
243	C₄×D₄	—	86	1	no	—
244	C₄×D₄	—	86	1	no	—
245	C₄×D₄	—	86	1	no	—
246	C₂×C₄⋊C₄	—	2	1	no	—
247	C₂×C₄⋊C₄	—	2	1	no	—
248	C₂×C₄⋊C₄	—	43	1	no	—
249	C₂×C₄⋊C₄	—	86	1	no	—
250	C₂×C₄⋊C₄	—	86	1	no	—
251	C₂×C₄⋊C₄	—	86	1	no	—
252	C₂×C₂²⋊C₄	—	86	1	no	—
253	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
254	#106	—	86	4	no	—
255	C₄⋊C₈	—	2	1	no	—
256	C₄⋊C₈	—	2	1	no	—
257	C₄⋊C₈	—	2	1	no	—
258	C₄⋊C₈	—	2	1	no	—
259	C₄⋊C₈	—	43	2	no	—
260	C₄⋊C₈	—	86	1	no	—
261	#102	—	86	4	no	—
262	#102	—	172	2	no	—
263	C₂²⋊C₈	—	172	2	no	—
264	C₂²⋊C₈	—	172	2	no	—
265	C₄×C₈	—	86	1	no	—
266	C₄×C₈	—	86	1	no	—
267	C₂⁴	—	86	1	no	—
268	C₂×Q₈	—	2	2	no	—
269	C₂×Q₈	—	4	1	no	—
270	C₂×Q₈	—	8	1	no	—
271	C₂×Q₈	—	8	1	no	—
272	C₂×D₄	—	43	2	no	—
273	C₂×D₄	—	86	1	no	—
274	C₂×D₄	—	86	1	no	—
275	C₂×D₄	—	86	1	no	—
276	C₂×D₄	—	86	1	no	—
277	C₂×D₄	—	86	1	no	—
278	C₂²×C₄	—	4	1	no	—
279	C₂²×C₄	—	86	1	no	—
280	C₂²×C₄	—	172	1	no	—
281	C₂²×C₄	—	172	1	no	—
282	C₂²×C₄	—	172	1	no	—
283	C₂²×C₄	—	172	1	no	—
284	C₂²×C₄	—	172	1	no	—
285	C₂²×C₄	—	172	1	no	—
286	C₂²×C₄	—	172	1	no	—
287	C₂²×C₄	#10621898	1	1	yes	characteristic
288	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
289	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
290	C₂×C₈	—	4	1	no	—
291	C₂×C₈	—	4	1	no	—
292	C₂×C₈	—	4	1	no	—
293	C₂×C₈	—	4	1	no	—
294	C₂×C₈	—	4	1	no	—
295	C₂×C₈	—	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	1	no	—
301	C₂×C₈	—	86	1	no	—
302	C₂×C₈	—	86	1	no	—
303	C₂×C₈	—	172	1	no	—
304	C₂×C₈	—	172	1	no	—
305	C₄⋊C₄	—	2	2	no	—
306	C₄⋊C₄	—	2	2	no	—
307	C₄⋊C₄	—	4	1	no	—
308	C₄⋊C₄	—	4	1	no	—
309	C₄⋊C₄	—	86	1	no	—
310	C₄⋊C₄	—	86	1	no	—
311	C₄⋊C₄	—	344	1	no	—
312	C₄⋊C₄	—	172	1	no	—
313	C₄⋊C₄	—	172	1	no	—
314	C₄⋊C₄	—	172	1	no	—
315	C₄⋊C₄	—	172	1	no	—
316	C₂²⋊C₄	—	172	1	no	—
317	C₂²⋊C₄	—	172	1	no	—
318	C₄²	#10621898	1	1	yes	characteristic
319	C₄²	D₄×D₄₃	1	1	yes	characteristic
320	C₄²	#10621900	1	1	yes	characteristic
321	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
322	C₂³	—	86	2	no	—
323	C₂³	—	172	1	no	—
324	C₂³	—	172	1	no	—
325	C₂³	—	172	1	no	—
326	C₂³	—	172	1	no	—
327	C₂³	—	172	1	no	—
328	C₂³	—	172	1	no	—
329	C₂³	#13063298	1	1	yes	characteristic
330	Q₈	—	8	2	no	—
331	Q₈	—	8	2	no	—
332	D₄	—	86	2	no	—
333	D₄	—	86	2	no	—
334	D₄	—	172	1	no	—
335	D₄	—	172	1	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	8	1	no	—
340	C₂×C₄	—	8	1	no	—
341	C₂×C₄	—	344	1	no	—
342	C₂×C₄	—	344	1	no	—
343	C₂×C₄	—	344	1	no	—
344	C₂×C₄	—	344	1	no	—
345	C₂×C₄	—	344	1	no	—
346	C₂×C₄	—	344	1	no	—
347	C₂×C₄	—	344	1	no	—
348	C₂×C₄	—	172	1	no	—
349	C₂×C₄	—	172	1	no	—
350	C₂×C₄	—	172	1	no	—
351	C₂×C₄	#13063293	1	1	yes	characteristic
352	C₂×C₄	#13063297	1	1	yes	characteristic
353	C₂×C₄	#13063298	1	1	yes	characteristic
354	C₂×C₄	#13063307	1	1	yes	characteristic
355	C₂×C₄	#13063308	1	1	yes	characteristic
356	C₂×C₄	#13063311	1	1	yes	characteristic
357	C₂×C₄	SD₁₆×D₄₃	1	1	yes	characteristic
358	C₂×C₄	SD₁₆×D₄₃	1	1	yes	characteristic
359	C₂×C₄	#13063348	1	1	yes	characteristic
360	C₂×C₄	#13063348	1	1	yes	characteristic
361	C₂×C₄	#13063352	1	1	yes	characteristic
362	C₂×C₄	#13063354	1	1	yes	characteristic
363	C₂×C₄	#13063357	1	1	yes	characteristic
364	C₂×C₄	#13063357	1	1	yes	characteristic
365	C₈	—	8	1	no	—
366	C₈	—	8	1	no	—
367	C₈	—	86	2	no	—
368	C₈	—	172	2	no	—
369	C₈	—	172	1	no	—
370	C₂²	—	344	1	no	—
371	C₂²	—	344	1	no	—
372	C₂²	—	344	1	no	—
373	C₂²	—	344	1	no	—
374	C₂²	—	172	2	no	—
375	C₂²	—	172	2	no	—
376	C₂²	—	172	2	no	—
377	C₂²	#14582814	1	1	yes	characteristic
378	C₂²	#14583103	1	1	yes	characteristic
379	C₂²	#14583117	1	1	yes	characteristic
380	C₂²	#14583131	1	1	yes	characteristic
381	C₂²	#14583156	1	1	yes	characteristic
382	C₂²	#14583161	1	1	yes	characteristic
383	C₂²	#14583168	1	1	yes	characteristic
384	C₄	—	2	1	no	—
385	C₄	—	2	1	no	—
386	C₄	—	8	2	no	—
387	C₄	—	344	1	no	—
388	C₄	—	688	1	no	—
389	C₄	#14583036	1	1	yes	characteristic
390	C₄	#14583060	1	1	yes	characteristic
391	C₄	#14583097	1	1	yes	characteristic
392	C₄	#14583123	1	1	yes	characteristic
393	C₄	#14583131	1	1	yes	characteristic
394	C₄	#14583148	1	1	yes	characteristic
395	C₄	#14583228	1	1	yes	characteristic
396	C₄	#14583239	1	1	yes	characteristic
397	C₂	—	344	2	no	—
398	C₂	#19133973	1	1	yes	characteristic
399	C₂	#19134007	1	1	yes	characteristic
400	C₂	#19134117	1	1	yes	characteristic
401	C₂	#19134173	1	1	yes	characteristic
402	C₂	#19135789	1	1	yes	characteristic
403	C₂	#19135887	1	1	yes	characteristic
404	C₂	#19135909	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#13063298
commutator, cosocle	C₂×C₄²×C₄₃	C₂³
Frattini	C₂×C₄²	C₂²×D₄₃
Fitting	C₂×C₄₃×#333	C₂
socle	C₂³×C₄₃	#121
prime radical	C₂²×D₁₇₂	D₄
hypercenter	C₂×#333	D₄₃
hypocenter	C₄₃	#10480
LCS	G ▷ C₂×C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×#333

Complements

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

N	H ≅ G/N	type
2. #19135557	C₂	semidirect
5. C₂×#14582649	C₂	semidirect
6. #19132479	C₂	semidirect
7. C₂×C₄₃×#333	C₂	semidirect
200. C₂×#333	D₄₃	semidirect
229. C₄₃	#10480	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583186	2
#19135557	2
#19135388	2
#19134596	2
C₂×#14582649	2
#19132479	2
C₂×C₄₃×#333	2
#10480	43