Subgroups — #25079733

Order 11008.

714 conjugacy classes of subgroups.

The subgroup lattice has 424 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145723	C₂	1	1	yes	maximal, characteristic, complemented
2	#19145513	C₂	1	1	yes	maximal, characteristic
3	#19143308	C₂	1	1	yes	maximal, characteristic, complemented
4	#19134125	C₂	1	4	yes	maximal, complemented
5	#19134001	C₂	1	4	yes	maximal, complemented
6	#19133343	C₂	1	1	yes	maximal, characteristic, complemented
7	#19133276	C₂	1	1	yes	maximal, characteristic, complemented
8	#19133263	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₄₃×#486	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#13063331	—	2	1	no	—
11	#14583449	C₂²	1	1	yes	characteristic
12	#14583295	—	2	1	no	—
13	#14583275	—	2	1	no	—
14	#14583247	—	2	1	no	—
15	#14583245	—	2	1	no	—
16	#14583217	—	2	2	no	—
17	#14583186	C₂²	1	4	yes	complemented
18	#14583091	C₂²	1	4	yes	—
19	#14583033	—	2	2	no	—
20	#14582978	—	2	1	no	—
21	#14582978	C₂²	1	2	yes	complemented
22	C₈×D₁₇₂	—	2	1	no	—
23	C₈×D₁₇₂	C₂²	1	2	yes	complemented
24	#14582952	C₂²	1	1	yes	characteristic
25	#14582952	C₂²	1	1	yes	characteristic
26	#14582923	C₂²	1	1	yes	characteristic
27	#14582865	—	2	1	no	—
28	#14582652	C₂²	1	2	yes	complemented
29	#14582650	C₂²	1	2	yes	complemented
30	#14582648	C₂²	1	4	yes	complemented
31	#14582643	C₂²	1	4	yes	—
32	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
33	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic
34	C₄₃×#486	—	2	1	no	—
35	C₄₃×#486	—	2	1	no	—
36	C₄₃×#486	C₂²	1	2	yes	—
37	C₄₃×#486	C₂²	1	2	yes	—
38	C₂×#102×C₄₃	—	2	1	no	—
39	C₂×#102×C₄₃	—	2	1	no	—
40	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
41	C₂×#10621898	—	2	1	no	—
42	C₂×#10621882	—	2	4	no	—
43	#13063331	—	4	4	no	—
44	C₂×#10621877	—	2	1	no	—
45	C₂×#10621872	—	2	2	no	—
46	C₂×C₈×D₄₃	—	2	2	no	—
47	#13063325	D₄	1	1	yes	characteristic
48	#13063322	D₄	1	1	yes	characteristic
49	#13063313	—	2	1	no	—
50	#13063299	—	2	1	no	—
51	#13063299	D₄	1	2	yes	—
52	C₄×D₁₇₂	—	2	1	no	—
53	C₄×D₁₇₂	C₂³	1	2	yes	—
54	#13063256	—	2	4	no	—
55	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
56	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
57	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
58	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
59	#13063246	—	2	4	no	—
60	#13063245	—	2	4	no	—
61	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
62	C₂²⋊(C₄₃⋊C₈)	—	2	1	no	—
63	(C₂×D₄₃)⋊C₈	—	2	2	no	—
64	(C₂×D₄₃)⋊C₈	—	2	2	no	—
65	C₄×C₄₃⋊C₈	—	2	1	no	—
66	C₄×C₄₃⋊C₈	—	2	1	no	—
67	C₂²×Q₈×C₄₃	—	2	1	no	—
68	C₂²×D₄×C₄₃	—	2	1	no	—
69	C₂²×D₄×C₄₃	—	2	1	no	—
70	C₂²×D₄×C₄₃	—	2	1	no	—
71	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
72	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
73	C₄⋊Q₈×C₄₃	—	2	1	no	—
74	C₄⋊Q₈×C₄₃	—	2	1	no	—
75	C₄⋊Q₈×C₄₃	—	2	1	no	—
76	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	—
77	#127×C₄₃	—	2	1	no	—
78	#127×C₄₃	—	2	1	no	—
79	#127×C₄₃	—	2	1	no	—
80	#127×C₄₃	C₂³	1	2	yes	—
81	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
82	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
83	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
84	#102×C₄₃	—	2	2	no	—
85	#102×C₄₃	—	2	2	no	—
86	#102×C₄₃	—	2	2	no	—
87	#102×C₄₃	—	2	2	no	—
88	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
89	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
90	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
91	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
92	C₂⁴×C₄₃	—	4	1	no	—
93	C₂×Q₈×C₄₃	—	2	2	no	—
94	C₂×Q₈×C₄₃	—	4	1	no	—
95	C₂×Q₈×C₄₃	—	8	2	no	—
96	C₂×D₄×C₄₃	—	2	2	no	—
97	C₂×D₄×C₄₃	—	2	2	no	—
98	C₂×D₄×C₄₃	—	2	2	no	—
99	C₂×D₄×C₄₃	—	4	1	no	—
100	C₂×D₄×C₄₃	—	4	1	no	—
101	C₂×D₄×C₄₃	—	4	1	no	—
102	C₂×D₄×C₄₃	—	4	2	no	—
103	C₂×D₄×C₄₃	—	4	2	no	—
104	C₂×D₄×C₄₃	—	8	2	no	—
105	C₂×D₄×C₄₃	—	8	2	no	—
106	C₂²×C₄×C₄₃	—	4	1	no	—
107	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
108	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
109	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
110	C₂×C₂²⋊D₄₃	—	2	2	no	—
111	#10621898	—	4	2	no	—
112	#10621898	—	4	2	no	—
113	C₂×D₁₇₂	—	2	1	no	—
114	C₂×D₁₇₂	—	2	1	no	—
115	C₂×D₁₇₂	C₂×D₄	1	2	yes	—
116	C₂×C₄×D₄₃	—	2	2	no	—
117	C₂×Dic₈₆	—	2	1	no	—
118	C₂×C₈×C₄₃	—	2	2	no	—
119	C₂×C₈×C₄₃	—	2	2	no	—
120	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
121	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
122	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
123	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
124	C₄⋊C₄×C₄₃	—	2	2	no	—
125	C₄⋊C₄×C₄₃	—	2	2	no	—
126	C₄⋊C₄×C₄₃	—	4	1	no	—
127	C₄⋊C₄×C₄₃	—	4	1	no	—
128	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
129	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
130	C₄²×C₄₃	#41	1	1	yes	characteristic
131	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
132	#10621882	—	8	4	no	—
133	(C₂×D₄₃)⋊C₄	—	2	2	no	—
134	(C₂×D₄₃)⋊C₄	—	2	2	no	—
135	C₄⋊Dic₄₃	—	2	1	no	—
136	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
137	#10621877	—	4	2	no	—
138	C₂×C₄₃⋊C₈	—	2	2	no	—
139	C₂×C₄₃⋊C₈	—	2	2	no	—
140	C₂×C₄₃⋊C₈	—	2	2	no	—
141	#10621872	—	4	4	no	—
142	C₈×D₄₃	—	4	4	no	—
143	C₂³×C₄₃	—	4	2	no	—
144	C₂³×C₄₃	—	8	2	no	—
145	C₂³×C₄₃	—	8	2	no	—
146	C₂³×C₄₃	—	8	2	no	—
147	C₂³×C₄₃	#121	1	1	yes	characteristic
148	C₂²×D₄₃	—	2	2	no	—
149	Q₈×C₄₃	—	8	2	no	—
150	Q₈×C₄₃	—	8	2	no	—
151	D₄×C₄₃	—	4	2	no	—
152	D₄×C₄₃	—	4	2	no	—
153	D₄×C₄₃	—	4	4	no	—
154	D₄×C₄₃	—	8	2	no	—
155	D₄×C₄₃	—	8	2	no	—
156	D₄×C₄₃	—	8	2	no	—
157	D₄×C₄₃	—	8	2	no	—
158	C₂×C₄×C₄₃	—	2	2	no	—
159	C₂×C₄×C₄₃	—	2	2	no	—
160	C₂×C₄×C₄₃	—	4	2	no	—
161	C₂×C₄×C₄₃	—	8	2	no	—
162	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
163	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
164	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
165	C₂×C₄×C₄₃	#135	1	2	yes	—
166	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
167	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
168	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
169	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
170	C₂²⋊D₄₃	—	4	4	no	—
171	C₂×Dic₄₃	—	2	2	no	—
172	D₁₇₂	—	2	4	no	—
173	D₁₇₂	—	4	2	no	—
174	D₁₇₂	—	4	2	no	—
175	C₄×D₄₃	—	4	2	no	—
176	C₄×D₄₃	—	4	2	no	—
177	Dic₈₆	—	4	2	no	—
178	C₈×C₄₃	—	2	1	no	—
179	C₈×C₄₃	—	2	1	no	—
180	C₈×C₄₃	—	2	1	no	—
181	C₈×C₄₃	—	2	1	no	—
182	C₄₃⋊C₈	—	4	2	no	—
183	C₄₃⋊C₈	—	4	2	no	—
184	C₄₃⋊C₈	—	4	2	no	—
185	#19196	—	43	1	no	maximal, Sylow
186	C₂²×C₄₃	—	2	1	no	—
187	C₂²×C₄₃	—	2	1	no	—
188	C₂²×C₄₃	—	8	2	no	—
189	C₂²×C₄₃	—	8	2	no	—
190	C₂²×C₄₃	—	8	2	no	—
191	C₂²×C₄₃	—	16	4	no	—
192	C₂²×C₄₃	#463	1	2	yes	—
193	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
194	C₂×D₄₃	—	4	2	no	—
195	C₂×D₄₃	—	4	2	no	—
196	C₂×D₄₃	—	4	2	no	—
197	C₄×C₄₃	—	2	1	no	—
198	C₄×C₄₃	—	2	1	no	—
199	C₄×C₄₃	—	8	2	no	—
200	C₄×C₄₃	#463	1	2	yes	—
201	C₄×C₄₃	#472	1	2	yes	—
202	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
203	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
204	C₄×C₄₃	#577	1	2	yes	—
205	Dic₄₃	—	4	2	no	—
206	#3227	—	43	1	no	—
207	#3205	—	43	1	no	—
208	C₂×#486	D₄₃	1	1	yes	characteristic, complemented
209	#2931	—	43	1	no	—
210	#1697	—	43	4	no	—
211	#1677	—	43	4	no	—
212	#1564	—	43	1	no	—
213	#1548	—	43	1	no	—
214	#1545	—	43	1	no	—
215	C₂×C₄₃	—	2	2	no	—
216	C₂×C₄₃	—	16	2	no	—
217	C₂×C₄₃	C₂×#463	1	1	yes	characteristic
218	C₂×C₄₃	#3057	1	1	yes	characteristic
219	C₂×C₄₃	C₂×#472	1	1	yes	characteristic
220	D₄₃	—	8	2	no	—
221	C₂×#131	—	86	1	no	—
222	#532	—	43	1	no	—
223	C₂×C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
224	C₂×#127	C₂×D₄₃	1	1	yes	characteristic
225	#498	—	86	1	no	—
226	#493	—	86	1	no	—
227	#486	—	2	1	no	—
228	#486	—	2	1	no	—
229	#486	—	86	1	no	—
230	#486	—	86	1	no	—
231	#486	C₂×D₄₃	1	2	yes	—
232	#486	C₂×D₄₃	1	2	yes	—
233	#481	—	86	2	no	—
234	#476	—	43	4	no	—
235	#459	—	43	4	no	—
236	#447	—	86	2	no	—
237	#436	—	43	2	no	—
238	#436	—	86	1	no	—
239	C₈×D₄	—	43	2	no	—
240	C₈×D₄	—	86	1	no	—
241	#431	—	43	1	no	—
242	#431	—	43	1	no	—
243	#423	—	43	1	no	—
244	C₂×#102	—	2	1	no	—
245	C₂×#102	—	2	1	no	—
246	#408	—	86	1	no	—
247	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
248	#335	—	43	2	no	—
249	#334	—	43	2	no	—
250	#333	—	43	4	no	—
251	#331	—	43	4	no	—
252	C₄₃	#19196	1	1	yes	characteristic, complemented, Sylow
253	C₂×#41	—	86	1	no	—
254	C₂²×Q₈	—	2	1	no	—
255	C₂²×D₄	—	2	1	no	—
256	C₂²×D₄	—	2	1	no	—
257	C₂²×D₄	—	2	1	no	—
258	C₂×D₈	—	86	4	no	—
259	#131	—	172	4	no	—
260	C₂×M₁₆	—	86	1	no	—
261	C₂×M₁₆	—	86	2	no	—
262	C₂²×C₈	—	86	2	no	—
263	C₂²×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
264	C₂²×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
265	C₄⋊Q₈	—	2	1	no	—
266	C₄⋊Q₈	—	2	1	no	—
267	C₄⋊Q₈	—	2	1	no	—
268	C₄⋊Q₈	—	43	1	no	—
269	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	—
270	#127	—	2	1	no	—
271	#127	—	2	1	no	—
272	#127	—	2	1	no	—
273	#127	—	43	1	no	—
274	#127	C₂²×D₄₃	1	2	yes	—
275	#124	—	86	1	no	—
276	#121	—	43	2	no	—
277	#121	—	86	1	no	—
278	C₄×D₄	—	43	2	no	—
279	C₄×D₄	—	86	1	no	—
280	C₂×C₄⋊C₄	—	2	1	no	—
281	C₂×C₄⋊C₄	—	2	1	no	—
282	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
283	#106	—	86	4	no	—
284	C₄⋊C₈	—	43	2	no	—
285	C₄⋊C₈	—	43	2	no	—
286	C₄⋊C₈	—	43	2	no	—
287	C₄⋊C₈	—	86	1	no	—
288	#102	—	2	2	no	—
289	#102	—	2	2	no	—
290	#102	—	2	2	no	—
291	#102	—	2	2	no	—
292	#102	—	86	4	no	—
293	#102	—	86	4	no	—
294	C₂²⋊C₈	—	86	1	no	—
295	C₂²⋊C₈	—	86	1	no	—
296	C₂²⋊C₈	—	86	2	no	—
297	C₂²⋊C₈	—	86	2	no	—
298	C₄×C₈	—	86	1	no	—
299	C₄×C₈	—	86	1	no	—
300	C₄×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
301	C₄×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
302	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
303	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
304	C₂⁴	—	4	1	no	—
305	#41	—	172	2	no	—
306	#41	—	172	2	no	—
307	C₂×Q₈	—	2	2	no	—
308	C₂×Q₈	—	4	1	no	—
309	C₂×Q₈	—	8	2	no	—
310	C₂×Q₈	—	86	1	no	—
311	C₂×D₄	—	2	2	no	—
312	C₂×D₄	—	2	2	no	—
313	C₂×D₄	—	2	2	no	—
314	C₂×D₄	—	4	1	no	—
315	C₂×D₄	—	4	1	no	—
316	C₂×D₄	—	4	1	no	—
317	C₂×D₄	—	4	2	no	—
318	C₂×D₄	—	4	2	no	—
319	C₂×D₄	—	8	2	no	—
320	C₂×D₄	—	8	2	no	—
321	C₂×D₄	—	43	2	no	—
322	C₂×D₄	—	86	2	no	—
323	C₂×D₄	—	86	1	no	—
324	C₂×D₄	—	86	1	no	—
325	C₂²×C₄	—	4	1	no	—
326	C₂²×C₄	—	86	2	no	—
327	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
328	C₂²×C₄	#10621900	1	1	yes	characteristic
329	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
330	D₈	—	344	4	no	—
331	M₁₆	—	172	4	no	—
332	M₁₆	—	172	2	no	—
333	C₂×C₈	—	2	2	no	—
334	C₂×C₈	—	2	2	no	—
335	C₂×C₈	—	86	2	no	—
336	C₂×C₈	—	86	2	no	—
337	C₂×C₈	—	86	2	no	—
338	C₂×C₈	—	172	4	no	—
339	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
340	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
341	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
342	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
343	C₄⋊C₄	—	2	2	no	—
344	C₄⋊C₄	—	2	2	no	—
345	C₄⋊C₄	—	4	1	no	—
346	C₄⋊C₄	—	4	1	no	—
347	C₄⋊C₄	—	43	2	no	—
348	C₄⋊C₄	—	86	1	no	—
349	C₂²⋊C₄	—	86	2	no	—
350	C₂²⋊C₄	—	86	2	no	—
351	C₄²	D₄×D₄₃	1	1	yes	characteristic
352	C₄²	#10621900	1	1	yes	characteristic
353	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
354	C₄²	C₂³×D₄₃	1	1	yes	characteristic
355	C₂³	—	4	2	no	—
356	C₂³	—	8	2	no	—
357	C₂³	—	8	2	no	—
358	C₂³	—	8	2	no	—
359	C₂³	—	86	2	no	—
360	C₂³	#13063296	1	1	yes	characteristic
361	Q₈	—	8	2	no	—
362	Q₈	—	8	2	no	—
363	Q₈	—	172	2	no	—
364	D₄	—	4	2	no	—
365	D₄	—	4	2	no	—
366	D₄	—	4	4	no	—
367	D₄	—	8	2	no	—
368	D₄	—	8	2	no	—
369	D₄	—	8	2	no	—
370	D₄	—	8	2	no	—
371	D₄	—	86	4	no	—
372	D₄	—	172	4	no	—
373	D₄	—	172	2	no	—
374	D₄	—	172	2	no	—
375	C₂×C₄	—	2	2	no	—
376	C₂×C₄	—	2	2	no	—
377	C₂×C₄	—	4	2	no	—
378	C₂×C₄	—	8	2	no	—
379	C₂×C₄	—	86	2	no	—
380	C₂×C₄	—	172	2	no	—
381	C₂×C₄	—	172	2	no	—
382	C₂×C₄	#13063296	1	1	yes	characteristic
383	C₂×C₄	#13063296	1	1	yes	characteristic
384	C₂×C₄	#13063296	1	1	yes	characteristic
385	C₂×C₄	#13063345	1	2	yes	—
386	C₂×C₄	#13063350	1	2	yes	—
387	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
388	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
389	C₂×C₄	C₂×#10621900	1	1	yes	characteristic
390	C₈	—	2	1	no	—
391	C₈	—	2	1	no	—
392	C₈	—	2	1	no	—
393	C₈	—	2	1	no	—
394	C₈	—	172	2	no	—
395	C₈	—	172	2	no	—
396	C₈	—	172	2	no	—
397	C₂²	—	2	1	no	—
398	C₂²	—	2	1	no	—
399	C₂²	—	8	2	no	—
400	C₂²	—	8	2	no	—
401	C₂²	—	8	2	no	—
402	C₂²	—	16	4	no	—
403	C₂²	—	172	2	no	—
404	C₂²	—	172	2	no	—
405	C₂²	—	172	2	no	—
406	C₂²	#14583111	1	2	yes	—
407	C₂²	C₂×#13063296	1	1	yes	characteristic
408	C₄	—	2	1	no	—
409	C₄	—	2	1	no	—
410	C₄	—	8	2	no	—
411	C₄	—	172	2	no	—
412	C₄	#14583111	1	2	yes	—
413	C₄	#14583166	1	2	yes	—
414	C₄	C₂×#13063345	1	1	yes	characteristic
415	C₄	C₂×#13063350	1	1	yes	characteristic
416	C₄	#14583705	1	2	yes	—
417	C₂	—	2	2	no	—
418	C₂	—	16	2	no	—
419	C₂	—	344	2	no	—
420	C₂	C₂×#14583111	1	1	yes	characteristic
421	C₂	#19144230	1	1	yes	characteristic
422	C₂	C₂×#14583166	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13063296
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₂×C₄₃×#486	C₂
socle	C₂²×C₄₃	C₂×#121
prime radical	#19145513	C₂
hypercenter	C₂×#486	D₄₃
hypocenter	C₄₃	#19196
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×#486

Complements

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

N	H ≅ G/N	type
1. #19145723	C₂	semidirect
3. #19143308	C₂	semidirect
4. #19134125	C₂	semidirect
5. #19134001	C₂	semidirect
6. #19133343	C₂	semidirect
7. #19133276	C₂	semidirect
8. #19133263	C₂	semidirect
9. C₂×C₄₃×#486	C₂	semidirect
17. #14583186	C₂²	semidirect
21. #14582978	C₂²	semidirect
23. C₈×D₁₇₂	C₂²	semidirect
28. #14582652	C₂²	semidirect
29. #14582650	C₂²	semidirect
30. #14582648	C₂²	semidirect
208. C₂×#486	D₄₃	semidirect
252. C₄₃	#19196	semidirect

Maximal subgroups

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

subgroup	index
#19145723	2
#19145513	2
#19143308	2
#19134125	2
#19134001	2
#19133343	2
#19133276	2
#19133263	2
C₂×C₄₃×#486	2
#19196	43