Subgroups — #25079998

Order 11008.

584 conjugacy classes of subgroups.

The subgroup lattice has 430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145933	C₂	1	2	yes	maximal
2	#19145181	C₂	1	1	yes	maximal, characteristic, complemented
3	#19143570	C₂	1	1	yes	maximal, characteristic
4	#19134150	C₂	1	2	yes	maximal, complemented
5	#19134143	C₂	1	2	yes	maximal, complemented
6	#19133990	C₂	1	1	yes	maximal, characteristic, complemented
7	#19133985	C₂	1	1	yes	maximal, characteristic, complemented
8	#19133966	C₂	1	1	yes	maximal, characteristic, complemented
9	#19133961	C₂	1	1	yes	maximal, characteristic, complemented
10	#19133293	C₂	1	2	yes	maximal, complemented
11	C₂×C₄₃×#335	C₂	1	1	yes	maximal, characteristic, complemented
12	#14583456	C₂²	1	2	yes	—
13	#14583433	C₂²	1	1	yes	characteristic
14	#14583304	C₂²	1	1	yes	characteristic
15	#14583279	C₂²	1	1	yes	characteristic
16	#14583250	C₂²	1	2	yes	—
17	#14583207	—	2	2	no	—
18	#14583185	C₂²	1	2	yes	—
19	#14583180	C₂²	1	2	yes	—
20	#14583140	—	2	2	no	—
21	#14583140	—	2	1	no	—
22	#14583140	—	2	1	no	—
23	#14583128	—	2	2	no	—
24	#14583122	—	2	2	no	—
25	#14583110	C₂²	1	2	yes	—
26	#14583105	C₂²	1	2	yes	—
27	#14583029	C₂²	1	1	yes	characteristic
28	C₈×Dic₈₆	C₂²	1	1	yes	characteristic
29	C₄×Dic₁₇₂	—	2	1	no	—
30	C₄×Dic₁₇₂	—	2	1	no	—
31	#14582978	C₂²	1	1	yes	characteristic
32	#14582970	—	2	1	no	—
33	C₈×D₁₇₂	C₂²	1	1	yes	characteristic
34	C₈×C₂²⋊D₄₃	—	2	1	no	—
35	#14582958	—	2	1	no	—
36	#14582956	C₂²	1	1	yes	characteristic
37	#14582853	—	2	1	no	—
38	#14582646	C₂²	1	2	yes	—
39	#14582646	C₂²	1	2	yes	—
40	#14582644	C₂²	1	2	yes	—
41	#14582644	C₂²	1	2	yes	—
42	C₂×C₄⋊C₈×C₄₃	C₂²	1	2	yes	—
43	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
44	C₄₃×#335	C₂²	1	1	yes	characteristic
45	C₄₃×#335	C₂²	1	1	yes	characteristic
46	C₄₃×#335	C₂²	1	2	yes	—
47	C₂×Dic₁₇₂	—	2	1	no	—
48	C₂×Dic₁₇₂	—	2	1	no	—
49	C₂×Dic₁₇₂	—	2	2	no	—
50	C₂×#10621873	—	2	2	no	—
51	C₂×#10621872	—	2	1	no	—
52	C₂×C₈×D₄₃	—	2	1	no	—
53	#13063325	C₂³	1	2	yes	—
54	#13063325	C₂³	1	2	yes	—
55	#13063319	—	2	1	no	—
56	#13063317	—	2	2	no	—
57	#13063317	D₄	1	1	yes	characteristic
58	#13063313	D₄	1	1	yes	characteristic
59	#13063308	—	2	1	no	—
60	#13063304	—	2	2	no	—
61	#13063304	—	2	2	no	—
62	#13063304	D₄	1	1	yes	characteristic
63	#13063299	D₄	1	1	yes	characteristic
64	C₄×Dic₈₆	—	2	2	no	—
65	C₄×Dic₈₆	—	2	2	no	—
66	C₄×Dic₈₆	C₂³	1	1	yes	characteristic
67	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
68	C₄×C₂²⋊D₄₃	—	2	1	no	—
69	#13063284	—	2	2	no	—
70	#13063282	—	2	1	no	—
71	#13063259	—	2	1	no	—
72	#13063259	—	2	1	no	—
73	#13063259	—	2	2	no	—
74	#13063257	—	2	2	no	—
75	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
76	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
77	Dic₄₃⋊C₈	—	2	1	no	—
78	Dic₄₃⋊C₈	—	2	1	no	—
79	#13063250	—	2	2	no	—
80	#13063250	—	2	2	no	—
81	#13063250	—	2	2	no	—
82	#13063250	—	2	2	no	—
83	#13063250	—	2	2	no	—
84	#13063247	—	2	2	no	—
85	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
86	(C₂×D₄₃)⋊C₈	—	2	1	no	—
87	(C₂×D₄₃)⋊C₈	—	2	1	no	—
88	#13063236	—	2	1	no	—
89	#13063235	—	2	1	no	—
90	C₈×Dic₄₃	—	2	1	no	—
91	C₂²×C₈×C₄₃	—	2	2	no	—
92	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
93	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
94	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
95	C₄⋊C₈×C₄₃	—	2	2	no	—
96	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
97	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
98	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
99	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
100	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
101	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
102	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
103	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
104	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
105	C₂×C₂²⋊D₄₃	—	2	1	no	—
106	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
107	C₂×C₄×D₄₃	—	2	1	no	—
108	C₂×Dic₈₆	—	2	2	no	—
109	C₂×Dic₈₆	—	2	2	no	—
110	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
111	C₂×C₈×C₄₃	—	2	2	no	—
112	C₂×C₈×C₄₃	—	2	2	no	—
113	C₂×C₈×C₄₃	—	2	2	no	—
114	C₂×C₈×C₄₃	—	4	1	no	—
115	C₂×C₈×C₄₃	—	8	2	no	—
116	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
117	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
118	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
119	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
120	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
121	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
122	C₄²×C₄₃	#41	1	1	yes	characteristic
123	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
124	C₂²⋊Dic₄₃	—	2	1	no	—
125	C₂²⋊Dic₄₃	—	4	2	no	—
126	(C₂×D₄₃)⋊C₄	—	2	1	no	—
127	(C₂×D₄₃)⋊C₄	—	2	1	no	—
128	(C₂×D₄₃)⋊C₄	—	2	1	no	—
129	(C₂×D₄₃)⋊C₄	—	2	1	no	—
130	C₄⋊Dic₄₃	—	2	2	no	—
131	C₄⋊Dic₄₃	—	2	2	no	—
132	C₄⋊Dic₄₃	—	2	2	no	—
133	C₄⋊Dic₄₃	—	2	2	no	—
134	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
135	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
136	Dic₄₃⋊C₄	—	2	1	no	—
137	Dic₄₃⋊C₄	—	2	1	no	—
138	Dic₄₃⋊C₄	—	2	1	no	—
139	Dic₄₃⋊C₄	—	2	1	no	—
140	Dic₄₃⋊C₄	—	4	2	no	—
141	Dic₄₃⋊C₄	—	4	2	no	—
142	C₄×Dic₄₃	—	2	1	no	—
143	C₄×Dic₄₃	—	4	2	no	—
144	C₂×C₄₃⋊C₈	—	2	1	no	—
145	C₂×C₄₃⋊C₈	—	2	1	no	—
146	Dic₁₇₂	—	4	2	no	—
147	Dic₁₇₂	—	4	2	no	—
148	Dic₁₇₂	—	8	2	no	—
149	#10621873	—	8	2	no	—
150	#10621872	—	4	2	no	—
151	C₈×D₄₃	—	4	2	no	—
152	C₂³×C₄₃	#121	1	1	yes	characteristic
153	C₂²×D₄₃	—	2	1	no	—
154	C₂×C₄×C₄₃	—	2	2	no	—
155	C₂×C₄×C₄₃	—	2	1	no	—
156	C₂×C₄×C₄₃	—	2	1	no	—
157	C₂×C₄×C₄₃	—	2	1	no	—
158	C₂×C₄×C₄₃	—	2	1	no	—
159	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
160	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
161	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
162	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
163	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
164	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
165	C₂²⋊D₄₃	—	4	2	no	—
166	C₂×Dic₄₃	—	2	1	no	—
167	C₂×Dic₄₃	—	2	1	no	—
168	C₂×Dic₄₃	—	2	1	no	—
169	C₂×Dic₄₃	—	4	2	no	—
170	C₂×Dic₄₃	—	4	2	no	—
171	D₁₇₂	—	2	1	no	—
172	D₁₇₂	—	2	1	no	—
173	C₄×D₄₃	—	4	1	no	—
174	C₄×D₄₃	—	4	1	no	—
175	Dic₈₆	—	2	1	no	—
176	Dic₈₆	—	2	1	no	—
177	Dic₈₆	—	4	2	no	—
178	Dic₈₆	—	4	2	no	—
179	Dic₈₆	—	4	2	no	—
180	Dic₈₆	—	4	2	no	—
181	C₈×C₄₃	—	2	1	no	—
182	C₈×C₄₃	—	2	1	no	—
183	C₈×C₄₃	—	2	1	no	—
184	C₈×C₄₃	—	4	2	no	—
185	C₈×C₄₃	—	4	2	no	—
186	C₈×C₄₃	#135	1	2	yes	—
187	C₄₃⋊C₈	—	4	1	no	—
188	C₄₃⋊C₈	—	4	1	no	—
189	#19223	—	43	1	no	maximal, Sylow
190	C₂²×C₄₃	—	2	1	no	—
191	C₂²×C₄₃	—	2	1	no	—
192	C₂²×C₄₃	#473	1	2	yes	—
193	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
194	C₂×D₄₃	—	4	1	no	—
195	C₂×D₄₃	—	4	1	no	—
196	C₂×D₄₃	—	4	1	no	—
197	C₄×C₄₃	—	2	1	no	—
198	C₄×C₄₃	—	2	1	no	—
199	C₄×C₄₃	—	2	1	no	—
200	C₄×C₄₃	—	2	1	no	—
201	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
202	C₄×C₄₃	#575	1	1	yes	characteristic
203	C₄×C₄₃	#576	1	1	yes	characteristic
204	C₄×C₄₃	#578	1	1	yes	characteristic
205	Dic₄₃	—	4	1	no	—
206	Dic₄₃	—	4	1	no	—
207	Dic₄₃	—	4	1	no	—
208	Dic₄₃	—	8	2	no	—
209	Dic₄₃	—	8	2	no	—
210	#3248	—	43	2	no	—
211	#3170	—	43	1	no	—
212	#2966	—	43	1	no	—
213	#1700	—	43	2	no	—
214	#1699	—	43	2	no	—
215	#1674	—	43	1	no	—
216	#1673	—	43	1	no	—
217	#1670	—	43	1	no	—
218	#1669	—	43	1	no	—
219	C₂×#335	D₄₃	1	1	yes	characteristic, complemented
220	#1552	—	43	2	no	—
221	C₂×C₄₃	—	2	2	no	—
222	C₂×C₄₃	#3035	1	1	yes	characteristic
223	C₂×C₄₃	#3061	1	1	yes	characteristic
224	C₂×C₄₃	C₂×#473	1	1	yes	characteristic
225	D₄₃	—	8	1	no	—
226	#533	—	43	2	no	—
227	#529	—	43	1	no	—
228	#500	—	43	1	no	—
229	#494	—	43	1	no	—
230	#487	—	43	2	no	—
231	#479	—	86	2	no	—
232	#475	—	43	2	no	—
233	#474	—	43	2	no	—
234	#467	—	86	2	no	—
235	#467	—	86	1	no	—
236	#467	—	86	1	no	—
237	#465	—	86	2	no	—
238	#464	—	86	2	no	—
239	#462	—	43	2	no	—
240	#461	—	43	2	no	—
241	#446	—	43	1	no	—
242	C₈×Q₈	—	43	1	no	—
243	C₄×Q₁₆	—	86	1	no	—
244	C₄×Q₁₆	—	86	1	no	—
245	#436	—	43	1	no	—
246	#435	—	86	1	no	—
247	C₈×D₄	—	43	1	no	—
248	C₈×D₄	—	86	1	no	—
249	#433	—	86	1	no	—
250	#432	—	43	1	no	—
251	C₂×C₄⋊C₈	C₂×D₄₃	1	2	yes	—
252	#405	—	86	1	no	—
253	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
254	#335	C₂×D₄₃	1	1	yes	characteristic
255	#335	C₂×D₄₃	1	1	yes	characteristic
256	#335	C₂×D₄₃	1	2	yes	—
257	#332	—	43	2	no	—
258	#332	—	43	2	no	—
259	#332	—	43	2	no	—
260	#332	—	43	2	no	—
261	C₄₃	#19223	1	1	yes	characteristic, complemented, Sylow
262	C₂×Q₁₆	—	86	2	no	—
263	C₂×Q₁₆	—	86	1	no	—
264	C₂×Q₁₆	—	86	1	no	—
265	C₂×SD₁₆	—	86	2	no	—
266	C₂×M₁₆	—	86	1	no	—
267	C₂²×C₈	—	2	2	no	—
268	C₂²×C₈	—	86	1	no	—
269	C₂²×C₈	D₁₇₂	1	1	yes	characteristic
270	C₂²×C₈	D₁₇₂	1	1	yes	characteristic
271	C₄⋊Q₈	—	43	2	no	—
272	C₄⋊Q₈	—	43	2	no	—
273	#126	—	86	1	no	—
274	#125	—	43	1	no	—
275	#125	—	86	2	no	—
276	#124	—	43	1	no	—
277	#123	—	86	1	no	—
278	C₂²⋊Q₈	—	43	1	no	—
279	C₂²⋊Q₈	—	86	2	no	—
280	C₂²⋊Q₈	—	86	2	no	—
281	#121	—	43	1	no	—
282	C₄×Q₈	—	43	1	no	—
283	C₄×Q₈	—	86	2	no	—
284	C₄×Q₈	—	86	2	no	—
285	C₄×D₄	—	43	1	no	—
286	C₄×D₄	—	86	1	no	—
287	#117	—	86	1	no	—
288	#117	—	86	2	no	—
289	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
290	#107	—	86	2	no	—
291	#107	—	86	1	no	—
292	#107	—	86	1	no	—
293	#106	—	86	2	no	—
294	C₄⋊C₈	—	2	2	no	—
295	C₄⋊C₈	—	43	1	no	—
296	C₄⋊C₈	—	43	1	no	—
297	C₄⋊C₈	—	86	1	no	—
298	C₄⋊C₈	—	86	1	no	—
299	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
300	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
301	#103	—	86	2	no	—
302	#103	—	86	2	no	—
303	#103	—	86	2	no	—
304	#103	—	86	2	no	—
305	#103	—	86	2	no	—
306	#102	—	86	2	no	—
307	C₂²⋊C₈	—	86	1	no	—
308	C₂²⋊C₈	—	86	1	no	—
309	C₂²⋊C₈	—	86	1	no	—
310	#97	—	86	1	no	—
311	#97	—	86	1	no	—
312	C₄×C₈	—	86	1	no	—
313	C₄×C₈	D₁₇₂	1	1	yes	characteristic
314	C₄×C₈	D₁₇₂	1	1	yes	characteristic
315	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
316	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
317	C₂×Q₈	—	43	1	no	—
318	C₂×Q₈	—	86	2	no	—
319	C₂×Q₈	—	86	2	no	—
320	C₂×D₄	—	43	1	no	—
321	C₂×D₄	—	86	1	no	—
322	C₂²×C₄	—	86	1	no	—
323	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
324	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
325	C₂²×C₄	#10621902	1	1	yes	characteristic
326	Q₁₆	—	344	2	no	—
327	Q₁₆	—	172	2	no	—
328	Q₁₆	—	172	2	no	—
329	SD₁₆	—	344	2	no	—
330	M₁₆	—	172	2	no	—
331	C₂×C₈	—	2	2	no	—
332	C₂×C₈	—	2	2	no	—
333	C₂×C₈	—	2	2	no	—
334	C₂×C₈	—	4	1	no	—
335	C₂×C₈	—	8	2	no	—
336	C₂×C₈	—	86	1	no	—
337	C₂×C₈	—	86	1	no	—
338	C₂×C₈	—	172	2	no	—
339	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
340	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
341	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
342	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
343	C₄⋊C₄	—	43	1	no	—
344	C₄⋊C₄	—	43	1	no	—
345	C₄⋊C₄	—	86	1	no	—
346	C₄⋊C₄	—	86	1	no	—
347	C₄⋊C₄	—	86	1	no	—
348	C₄⋊C₄	—	86	1	no	—
349	C₄⋊C₄	—	86	2	no	—
350	C₄⋊C₄	—	86	2	no	—
351	C₄⋊C₄	—	86	2	no	—
352	C₄⋊C₄	—	86	2	no	—
353	C₄⋊C₄	—	172	2	no	—
354	C₄⋊C₄	—	172	2	no	—
355	C₂²⋊C₄	—	86	1	no	—
356	C₂²⋊C₄	—	86	1	no	—
357	C₂²⋊C₄	—	86	1	no	—
358	C₂²⋊C₄	—	86	1	no	—
359	C₂²⋊C₄	—	86	1	no	—
360	C₂²⋊C₄	—	172	2	no	—
361	C₄²	—	86	1	no	—
362	C₄²	—	172	2	no	—
363	C₄²	C₂×D₁₇₂	1	1	yes	characteristic
364	C₄²	D₄×D₄₃	1	1	yes	characteristic
365	C₄²	#10621902	1	1	yes	characteristic
366	C₄²	C₂³×D₄₃	1	1	yes	characteristic
367	C₂³	—	86	1	no	—
368	C₂³	#13063300	1	1	yes	characteristic
369	Q₈	—	86	1	no	—
370	Q₈	—	86	1	no	—
371	Q₈	—	172	2	no	—
372	Q₈	—	172	2	no	—
373	Q₈	—	172	2	no	—
374	Q₈	—	172	2	no	—
375	D₄	—	86	1	no	—
376	D₄	—	86	1	no	—
377	D₄	—	172	2	no	—
378	C₂×C₄	—	2	2	no	—
379	C₂×C₄	—	2	1	no	—
380	C₂×C₄	—	2	1	no	—
381	C₂×C₄	—	2	1	no	—
382	C₂×C₄	—	2	1	no	—
383	C₂×C₄	—	86	1	no	—
384	C₂×C₄	—	86	1	no	—
385	C₂×C₄	—	86	1	no	—
386	C₂×C₄	—	172	2	no	—
387	C₂×C₄	—	172	2	no	—
388	C₂×C₄	—	172	1	no	—
389	C₂×C₄	—	172	1	no	—
390	C₂×C₄	#13063300	1	1	yes	characteristic
391	C₂×C₄	#13063300	1	1	yes	characteristic
392	C₂×C₄	#13063300	1	1	yes	characteristic
393	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
394	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
395	C₂×C₄	C₂×#10621902	1	1	yes	characteristic
396	C₈	—	2	1	no	—
397	C₈	—	2	1	no	—
398	C₈	—	2	1	no	—
399	C₈	—	4	2	no	—
400	C₈	—	4	2	no	—
401	C₈	—	172	1	no	—
402	C₈	—	172	1	no	—
403	C₈	#13063347	1	2	yes	—
404	C₂²	—	2	1	no	—
405	C₂²	—	2	1	no	—
406	C₂²	—	172	1	no	—
407	C₂²	—	172	1	no	—
408	C₂²	—	172	1	no	—
409	C₂²	#14583175	1	2	yes	—
410	C₂²	C₂×#13063300	1	1	yes	characteristic
411	C₄	—	2	1	no	—
412	C₄	—	2	1	no	—
413	C₄	—	2	1	no	—
414	C₄	—	2	1	no	—
415	C₄	—	344	2	no	—
416	C₄	—	344	2	no	—
417	C₄	—	172	1	no	—
418	C₄	—	172	1	no	—
419	C₄	—	172	1	no	—
420	C₄	C₂×#13063347	1	1	yes	characteristic
421	C₄	#14583699	1	1	yes	characteristic
422	C₄	#14583700	1	1	yes	characteristic
423	C₄	#14583712	1	1	yes	characteristic
424	C₂	—	2	2	no	—
425	C₂	—	344	1	no	—
426	C₂	#19144052	1	1	yes	characteristic
427	C₂	#19144267	1	1	yes	characteristic
428	C₂	C₂×#14583175	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13063300
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₂×C₄₃×#335	C₂
socle	C₂²×C₄₃	C₂×#121
prime radical	#13063299	D₄
hypercenter	C₂×#335	D₄₃
hypocenter	C₄₃	#19223
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×#335

Complements

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

N	H ≅ G/N	type
2. #19145181	C₂	semidirect
4. #19134150	C₂	semidirect
5. #19134143	C₂	semidirect
6. #19133990	C₂	semidirect
7. #19133985	C₂	semidirect
8. #19133966	C₂	semidirect
9. #19133961	C₂	semidirect
10. #19133293	C₂	semidirect
11. C₂×C₄₃×#335	C₂	semidirect
219. C₂×#335	D₄₃	semidirect
261. C₄₃	#19223	semidirect

Maximal subgroups

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

subgroup	index
#19145933	2
#19145181	2
#19143570	2
#19134150	2
#19134143	2
#19133990	2
#19133985	2
#19133966	2
#19133961	2
#19133293	2
C₂×C₄₃×#335	2
#19223	43