Subgroups — #24997846

Order 11008.

618 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583176	C₂	1	1	yes	maximal, characteristic
2	#19139591	C₂	1	1	yes	maximal, characteristic
3	#19135519	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#14582645	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14582628	C₂	1	1	yes	maximal, characteristic
6	#19132435	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₄₃×#498	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#13063314	—	2	1	no	—
9	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
10	#14583176	—	2	2	no	—
11	#14583176	—	2	2	no	—
12	C₂×#13063258	—	2	1	no	—
13	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
14	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
15	C₂×#13063249	—	2	2	no	—
16	C₂×#13063245	—	2	1	no	—
17	#14582825	—	2	2	no	—
18	#14582806	—	2	1	no	—
19	#14582756	—	2	2	no	—
20	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic
21	#14582645	—	2	2	no	—
22	#14582628	—	2	2	no	—
23	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
24	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
25	C₄₃×#498	—	2	2	no	—
26	C₄₃×#498	—	2	2	no	—
27	C₂×#106×C₄₃	—	2	2	no	—
28	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
29	C₂²×D₁₇₂	D₄	1	1	yes	characteristic
30	C₂²×C₄×D₄₃	—	2	1	no	—
31	C₂²×C₄₃⋊C₈	—	2	1	no	—
32	C₂²×C₄₃⋊C₈	—	2	1	no	—
33	#13063314	—	4	2	no	—
34	#13063314	—	4	2	no	—
35	C₄×D₁₇₂	—	2	1	no	—
36	C₄×D₁₇₂	—	2	1	no	—
37	C₄×D₁₇₂	—	2	1	no	—
38	C₄×D₁₇₂	—	2	1	no	—
39	C₂×C₄⋊Dic₄₃	D₄	1	1	yes	characteristic
40	C₂×C₄⋊Dic₄₃	D₄	1	2	yes	—
41	C₂×(C₂×D₄₃)⋊C₄	—	2	4	no	—
42	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
43	C₂×C₄×Dic₄₃	—	2	1	no	—
44	#13063258	—	2	4	no	—
45	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
46	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
47	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
48	C₄⋊(C₄₃⋊C₈)	D₄	1	2	yes	—
49	#13063249	—	4	4	no	—
50	#13063245	—	2	4	no	—
51	C₄₃⋊#95	—	2	4	no	—
52	C₄₃⋊#95	—	2	1	no	—
53	C₂²×Q₈×C₄₃	—	2	1	no	—
54	C₂²×Q₈×C₄₃	—	2	1	no	—
55	C₂²×C₈×C₄₃	—	2	1	no	—
56	C₄⋊Q₈×C₄₃	—	2	1	no	—
57	C₄⋊Q₈×C₄₃	—	2	1	no	—
58	C₄⋊Q₈×C₄₃	—	2	1	no	—
59	C₄⋊Q₈×C₄₃	—	2	1	no	—
60	C₄⋊Q₈×C₄₃	—	2	1	no	—
61	C₄⋊Q₈×C₄₃	—	2	1	no	—
62	C₄⋊Q₈×C₄₃	—	2	1	no	—
63	C₄⋊Q₈×C₄₃	D₄	1	2	yes	—
64	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
65	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
66	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
67	C₂×C₄⋊C₄×C₄₃	D₄	1	2	yes	—
68	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
69	#106×C₄₃	—	2	8	no	—
70	C₄×C₈×C₄₃	—	2	1	no	—
71	C₄×C₈×C₄₃	D₄	1	2	yes	—
72	C₂³×D₄₃	—	2	1	no	—
73	C₂×Q₈×C₄₃	—	2	2	no	—
74	C₂×Q₈×C₄₃	—	4	1	no	—
75	C₂×Q₈×C₄₃	—	4	1	no	—
76	C₂×Q₈×C₄₃	—	4	1	no	—
77	C₂×Q₈×C₄₃	—	4	1	no	—
78	C₂×Q₈×C₄₃	—	4	1	no	—
79	C₂×Q₈×C₄₃	—	4	1	no	—
80	C₂×Q₈×C₄₃	—	4	1	no	—
81	C₂×Q₈×C₄₃	—	4	2	no	—
82	C₂×Q₈×C₄₃	—	4	2	no	—
83	C₂²×C₄×C₄₃	—	2	2	no	—
84	C₂²×C₄×C₄₃	—	4	1	no	—
85	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
86	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
88	C₂²×Dic₄₃	—	2	1	no	—
89	C₂²×Dic₄₃	—	2	2	no	—
90	C₂×D₁₇₂	—	2	1	no	—
91	C₂×D₁₇₂	—	2	1	no	—
92	C₂×D₁₇₂	—	2	1	no	—
93	C₂×D₁₇₂	—	2	1	no	—
94	C₂×D₁₇₂	—	2	1	no	—
95	C₂×D₁₇₂	SD₁₆	1	2	yes	—
96	C₂×C₄×D₄₃	—	4	1	no	—
97	C₂×C₄×D₄₃	—	4	1	no	—
98	C₂×C₄×D₄₃	—	4	2	no	—
99	C₂×C₄×D₄₃	—	4	2	no	—
100	C₂×C₈×C₄₃	—	2	4	no	—
101	C₂×C₈×C₄₃	—	2	2	no	—
102	C₄⋊C₄×C₄₃	—	2	2	no	—
103	C₄⋊C₄×C₄₃	—	2	2	no	—
104	C₄⋊C₄×C₄₃	—	2	2	no	—
105	C₄⋊C₄×C₄₃	—	2	2	no	—
106	C₄⋊C₄×C₄₃	—	4	1	no	—
107	C₄⋊C₄×C₄₃	—	4	1	no	—
108	C₄⋊C₄×C₄₃	—	4	1	no	—
109	C₄⋊C₄×C₄₃	—	4	1	no	—
110	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
111	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
112	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
113	C₄²×C₄₃	#41	1	1	yes	characteristic
114	(C₂×D₄₃)⋊C₄	—	4	8	no	—
115	(C₂×D₄₃)⋊C₄	—	4	1	no	—
116	(C₂×D₄₃)⋊C₄	—	4	1	no	—
117	C₄⋊Dic₄₃	—	2	1	no	—
118	C₄⋊Dic₄₃	—	2	1	no	—
119	C₄⋊Dic₄₃	—	2	2	no	—
120	C₄⋊Dic₄₃	—	2	2	no	—
121	C₄×Dic₄₃	—	4	1	no	—
122	C₄×Dic₄₃	—	4	1	no	—
123	C₂×C₄₃⋊C₈	—	2	2	no	—
124	C₂×C₄₃⋊C₈	—	4	1	no	—
125	C₂×C₄₃⋊C₈	—	4	1	no	—
126	C₂×C₄₃⋊C₈	—	4	1	no	—
127	C₂×C₄₃⋊C₈	—	4	2	no	—
128	C₂³×C₄₃	#120	1	1	yes	characteristic
129	C₂²×D₄₃	—	2	2	no	—
130	C₂²×D₄₃	—	4	1	no	—
131	C₂²×D₄₃	—	4	2	no	—
132	C₂²×D₄₃	—	4	1	no	—
133	C₂²×D₄₃	—	4	2	no	—
134	Q₈×C₄₃	—	4	4	no	—
135	Q₈×C₄₃	—	8	1	no	—
136	Q₈×C₄₃	—	8	1	no	—
137	Q₈×C₄₃	—	8	1	no	—
138	Q₈×C₄₃	—	8	1	no	—
139	Q₈×C₄₃	—	8	1	no	—
140	Q₈×C₄₃	—	8	1	no	—
141	C₂×C₄×C₄₃	—	2	2	no	—
142	C₂×C₄×C₄₃	—	4	2	no	—
143	C₂×C₄×C₄₃	—	4	2	no	—
144	C₂×C₄×C₄₃	—	4	2	no	—
145	C₂×C₄×C₄₃	—	4	2	no	—
146	C₂×C₄×C₄₃	—	8	2	no	—
147	C₂×C₄×C₄₃	#120	1	1	yes	characteristic
148	C₂×C₄×C₄₃	#120	1	1	yes	characteristic
149	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
150	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
151	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
152	C₂×C₄×C₄₃	#127	1	1	yes	characteristic
153	C₂×C₄×C₄₃	C₂×SD₁₆	1	1	yes	characteristic
154	C₂×C₄×C₄₃	#135	1	1	yes	characteristic
155	C₂×C₄×C₄₃	#135	1	2	yes	—
156	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
157	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
158	C₂×C₄×C₄₃	#137	1	1	yes	characteristic
159	C₂×Dic₄₃	—	4	1	no	—
160	C₂×Dic₄₃	—	4	2	no	—
161	C₂×Dic₄₃	—	4	2	no	—
162	C₂×Dic₄₃	—	4	2	no	—
163	C₂×Dic₄₃	—	4	2	no	—
164	D₁₇₂	—	2	2	no	—
165	D₁₇₂	—	2	2	no	—
166	D₁₇₂	—	4	1	no	—
167	D₁₇₂	—	4	1	no	—
168	C₄×D₄₃	—	8	2	no	—
169	C₄×D₄₃	—	8	1	no	—
170	C₄×D₄₃	—	8	1	no	—
171	C₈×C₄₃	—	2	4	no	—
172	C₄₃⋊C₈	—	4	2	no	—
173	C₄₃⋊C₈	—	8	1	no	—
174	#10074	—	43	1	no	maximal, Sylow
175	C₂²×C₄₃	#392	1	1	yes	characteristic
176	C₂²×C₄₃	#449	1	2	yes	—
177	C₂²×C₄₃	#450	1	1	yes	characteristic
178	C₂²×C₄₃	#452	1	1	yes	characteristic
179	C₂²×C₄₃	#456	1	2	yes	—
180	C₂×D₄₃	—	4	4	no	—
181	C₂×D₄₃	—	4	2	no	—
182	C₂×D₄₃	—	8	2	no	—
183	C₂×D₄₃	—	8	1	no	—
184	C₂×D₄₃	—	8	1	no	—
185	C₄×C₄₃	—	2	1	no	—
186	C₄×C₄₃	—	2	1	no	—
187	C₄×C₄₃	—	8	2	no	—
188	C₄×C₄₃	—	8	2	no	—
189	C₄×C₄₃	#448	1	1	yes	characteristic
190	C₄×C₄₃	#449	1	1	yes	characteristic
191	C₄×C₄₃	#463	1	2	yes	—
192	C₄×C₄₃	#465	1	1	yes	characteristic
193	C₄×C₄₃	#468	1	1	yes	characteristic
194	C₄×C₄₃	#495	1	1	yes	characteristic
195	C₄×C₄₃	#496	1	1	yes	characteristic
196	Dic₄₃	—	8	2	no	—
197	Dic₄₃	—	8	1	no	—
198	C₂×#498	D₄₃	1	1	yes	characteristic, complemented
199	C₂×#474	—	43	1	no	—
200	#2547	—	43	1	no	—
201	#1981	—	43	1	no	—
202	C₂×#332	—	43	1	no	—
203	C₂×D₄⋊C₈	—	43	1	no	—
204	#1279	—	43	1	no	—
205	C₂×C₄₃	#1652	1	2	yes	—
206	C₂×C₄₃	#1654	1	2	yes	—
207	C₂×C₄₃	#2000	1	1	yes	characteristic
208	C₂×C₄₃	#2005	1	1	yes	characteristic
209	C₂×C₄₃	#2012	1	1	yes	characteristic
210	D₄₃	—	8	2	no	—
211	C₂×C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
212	C₂×C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
213	C₂×#124	—	86	1	no	—
214	C₂×C₄×D₄	—	43	1	no	—
215	#498	—	2	2	no	—
216	#498	—	2	2	no	—
217	#474	—	86	2	no	—
218	#474	—	86	2	no	—
219	C₂×#107	—	86	1	no	—
220	C₂×#106	—	2	2	no	—
221	C₂×C₄⋊C₈	—	43	1	no	—
222	C₂×C₄⋊C₈	—	43	1	no	—
223	C₂×#103	—	86	2	no	—
224	C₂×#102	—	86	1	no	—
225	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
226	#397	—	86	2	no	—
227	#391	—	86	1	no	—
228	#380	—	86	2	no	—
229	C₄×C₄⋊C₄	—	43	1	no	—
230	#332	—	86	2	no	—
231	D₄⋊C₈	—	86	2	no	—
232	C₄₃	#10074	1	1	yes	characteristic, complemented, Sylow
233	C₂²×Q₈	—	2	1	no	—
234	C₂²×Q₈	—	2	1	no	—
235	C₂²×D₄	—	43	1	no	—
236	C₂³×C₄	—	86	1	no	—
237	C₂²×C₈	—	2	1	no	—
238	C₂²×C₈	—	86	1	no	—
239	C₂²×C₈	—	86	1	no	—
240	C₄⋊Q₈	—	2	1	no	—
241	C₄⋊Q₈	—	2	1	no	—
242	C₄⋊Q₈	—	2	1	no	—
243	C₄⋊Q₈	—	2	1	no	—
244	C₄⋊Q₈	—	2	1	no	—
245	C₄⋊Q₈	—	2	1	no	—
246	C₄⋊Q₈	—	2	1	no	—
247	C₄⋊Q₈	C₂²⋊D₄₃	1	2	yes	—
248	#124	—	172	2	no	—
249	#124	—	172	2	no	—
250	C₄×D₄	—	86	1	no	—
251	C₄×D₄	—	86	1	no	—
252	C₄×D₄	—	86	1	no	—
253	C₄×D₄	—	86	1	no	—
254	C₂×C₄⋊C₄	—	2	1	no	—
255	C₂×C₄⋊C₄	—	2	1	no	—
256	C₂×C₄⋊C₄	—	2	1	no	—
257	C₂×C₄⋊C₄	—	43	1	no	—
258	C₂×C₄⋊C₄	—	43	2	no	—
259	C₂×C₄⋊C₄	C₂²⋊D₄₃	1	2	yes	—
260	C₂×C₂²⋊C₄	—	86	4	no	—
261	C₂×C₂²⋊C₄	—	86	1	no	—
262	C₂×C₄²	—	86	1	no	—
263	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
264	#107	—	86	4	no	—
265	#106	—	2	8	no	—
266	C₄⋊C₈	—	43	2	no	—
267	C₄⋊C₈	—	86	1	no	—
268	C₄⋊C₈	—	86	1	no	—
269	C₄⋊C₈	—	86	1	no	—
270	#103	—	172	4	no	—
271	#102	—	86	4	no	—
272	C₄×C₈	—	2	1	no	—
273	C₄×C₈	C₂²⋊D₄₃	1	2	yes	—
274	#95	—	86	4	no	—
275	#95	—	86	1	no	—
276	C₂⁴	—	86	1	no	—
277	C₂×Q₈	—	2	2	no	—
278	C₂×Q₈	—	4	1	no	—
279	C₂×Q₈	—	4	1	no	—
280	C₂×Q₈	—	4	1	no	—
281	C₂×Q₈	—	4	1	no	—
282	C₂×Q₈	—	4	1	no	—
283	C₂×Q₈	—	4	1	no	—
284	C₂×Q₈	—	4	1	no	—
285	C₂×Q₈	—	4	2	no	—
286	C₂×Q₈	—	4	2	no	—
287	C₂×D₄	—	43	2	no	—
288	C₂×D₄	—	86	1	no	—
289	C₂×D₄	—	86	1	no	—
290	C₂×D₄	—	86	1	no	—
291	C₂×D₄	—	86	1	no	—
292	C₂×D₄	—	86	1	no	—
293	C₂²×C₄	—	2	2	no	—
294	C₂²×C₄	—	4	1	no	—
295	C₂²×C₄	—	86	1	no	—
296	C₂²×C₄	—	86	2	no	—
297	C₂²×C₄	—	172	1	no	—
298	C₂²×C₄	—	172	1	no	—
299	C₂²×C₄	—	172	2	no	—
300	C₂²×C₄	—	172	2	no	—
301	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
302	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
303	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
304	C₂×C₈	—	2	4	no	—
305	C₂×C₈	—	2	2	no	—
306	C₂×C₈	—	86	2	no	—
307	C₂×C₈	—	172	1	no	—
308	C₂×C₈	—	172	2	no	—
309	C₂×C₈	—	172	1	no	—
310	C₂×C₈	—	172	1	no	—
311	C₄⋊C₄	—	2	2	no	—
312	C₄⋊C₄	—	2	2	no	—
313	C₄⋊C₄	—	2	2	no	—
314	C₄⋊C₄	—	2	2	no	—
315	C₄⋊C₄	—	4	1	no	—
316	C₄⋊C₄	—	4	1	no	—
317	C₄⋊C₄	—	4	1	no	—
318	C₄⋊C₄	—	4	1	no	—
319	C₄⋊C₄	—	86	1	no	—
320	C₄⋊C₄	—	86	1	no	—
321	C₄⋊C₄	—	86	2	no	—
322	C₄⋊C₄	—	86	2	no	—
323	C₂²⋊C₄	—	172	8	no	—
324	C₂²⋊C₄	—	172	1	no	—
325	C₂²⋊C₄	—	172	1	no	—
326	C₄²	—	172	1	no	—
327	C₄²	—	172	1	no	—
328	C₄²	D₄×D₄₃	1	1	yes	characteristic
329	C₄²	#10621900	1	1	yes	characteristic
330	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
331	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
332	C₂³	—	86	2	no	—
333	C₂³	—	172	2	no	—
334	C₂³	—	172	1	no	—
335	C₂³	—	172	1	no	—
336	C₂³	—	172	2	no	—
337	C₂³	#13063293	1	1	yes	characteristic
338	Q₈	—	4	4	no	—
339	Q₈	—	8	1	no	—
340	Q₈	—	8	1	no	—
341	Q₈	—	8	1	no	—
342	Q₈	—	8	1	no	—
343	Q₈	—	8	1	no	—
344	Q₈	—	8	1	no	—
345	D₄	—	86	2	no	—
346	D₄	—	86	2	no	—
347	D₄	—	172	1	no	—
348	D₄	—	172	1	no	—
349	C₂×C₄	—	2	2	no	—
350	C₂×C₄	—	4	2	no	—
351	C₂×C₄	—	4	2	no	—
352	C₂×C₄	—	4	2	no	—
353	C₂×C₄	—	4	2	no	—
354	C₂×C₄	—	8	2	no	—
355	C₂×C₄	—	344	2	no	—
356	C₂×C₄	—	344	1	no	—
357	C₂×C₄	—	344	1	no	—
358	C₂×C₄	—	172	2	no	—
359	C₂×C₄	—	172	2	no	—
360	C₂×C₄	—	172	2	no	—
361	C₂×C₄	—	172	1	no	—
362	C₂×C₄	—	172	2	no	—
363	C₂×C₄	#13063293	1	1	yes	characteristic
364	C₂×C₄	#13063294	1	1	yes	characteristic
365	C₂×C₄	#13063296	1	1	yes	characteristic
366	C₂×C₄	#13063297	1	1	yes	characteristic
367	C₂×C₄	#13063297	1	1	yes	characteristic
368	C₂×C₄	#13063321	1	1	yes	characteristic
369	C₂×C₄	SD₁₆×D₄₃	1	1	yes	characteristic
370	C₂×C₄	#13063346	1	1	yes	characteristic
371	C₂×C₄	#13063346	1	2	yes	—
372	C₂×C₄	#13063352	1	1	yes	characteristic
373	C₂×C₄	#13063352	1	2	yes	—
374	C₂×C₄	#13063354	1	1	yes	characteristic
375	C₈	—	2	4	no	—
376	C₈	—	344	1	no	—
377	C₈	—	172	2	no	—
378	C₂²	—	344	1	no	—
379	C₂²	—	344	2	no	—
380	C₂²	—	344	1	no	—
381	C₂²	—	172	2	no	—
382	C₂²	—	172	4	no	—
383	C₂²	#14582807	1	1	yes	characteristic
384	C₂²	#14583043	1	2	yes	—
385	C₂²	#14583048	1	1	yes	characteristic
386	C₂²	#14583058	1	1	yes	characteristic
387	C₂²	#14583081	1	2	yes	—
388	C₄	—	2	1	no	—
389	C₄	—	2	1	no	—
390	C₄	—	8	2	no	—
391	C₄	—	8	2	no	—
392	C₄	—	344	2	no	—
393	C₄	—	344	1	no	—
394	C₄	#14583036	1	1	yes	characteristic
395	C₄	#14583043	1	1	yes	characteristic
396	C₄	#14583116	1	2	yes	—
397	C₄	#14583125	1	1	yes	characteristic
398	C₄	#14583142	1	1	yes	characteristic
399	C₄	#14583280	1	1	yes	characteristic
400	C₄	#14583285	1	1	yes	characteristic
401	C₂	—	344	2	no	—
402	C₂	#19133862	1	2	yes	—
403	C₂	#19133876	1	2	yes	—
404	C₂	#19135595	1	1	yes	characteristic
405	C₂	#19135631	1	1	yes	characteristic
406	C₂	#19135669	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#13063293
commutator, cosocle	C₂×C₄²×C₄₃	C₂³
Frattini	C₂×C₄²	C₂²×D₄₃
Fitting	C₂×C₄₃×#498	C₂
socle	C₂³×C₄₃	#120
prime radical	C₂²×D₁₇₂	D₄
hypercenter	C₂×#498	D₄₃
hypocenter	C₄₃	#10074
LCS	G ▷ C₂×C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×#498

Complements

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

N	H ≅ G/N	type
3. #19135519	C₂	semidirect
4. C₂×#14582645	C₂	semidirect
6. #19132435	C₂	semidirect
7. C₂×C₄₃×#498	C₂	semidirect
198. C₂×#498	D₄₃	semidirect
232. C₄₃	#10074	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583176	2
#19139591	2
#19135519	2
C₂×#14582645	2
C₂×#14582628	2
#19132435	2
C₂×C₄₃×#498	2
#10074	43