Subgroups — #25067159

Order 11008.

734 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145170	C₂	1	1	yes	maximal, characteristic
2	#19143307	C₂	1	1	yes	maximal, characteristic, complemented
3	#19143306	C₂	1	1	yes	maximal, characteristic, complemented
4	#19133506	C₂	1	4	yes	maximal, complemented
5	#19133416	C₂	1	4	yes	maximal, complemented
6	#19133350	C₂	1	1	yes	maximal, characteristic, complemented
7	#19133047	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#14582621	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₃×#1492	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#13063333	—	2	1	no	—
11	C₂×#13063332	—	2	1	no	—
12	#14583449	C₂²	1	1	yes	characteristic
13	#14583302	C₄	1	1	yes	characteristic
14	#14583275	C₄	1	1	yes	characteristic
15	#14583247	C₄	1	1	yes	characteristic
16	#14583245	C₄	1	1	yes	characteristic
17	#14583133	C₄	1	4	yes	—
18	C₄×#10621882	C₂²	1	4	yes	—
19	#14582977	—	2	1	no	—
20	#14582977	C₂²	1	2	yes	—
21	#14582976	—	2	1	no	—
22	#14582976	C₂²	1	2	yes	—
23	D₄×C₄₃⋊C₈	—	2	1	no	—
24	D₄×C₄₃⋊C₈	C₂²	1	2	yes	—
25	#14582964	—	2	1	no	—
26	#14582964	C₂²	1	2	yes	—
27	#14582923	C₂²	1	1	yes	characteristic
28	#14582867	—	2	1	no	—
29	#14582866	—	2	1	no	—
30	C₂×C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
31	C₂×C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
32	#14582649	C₂²	1	4	yes	—
33	#14582628	C₂²	1	4	yes	—
34	#14582621	C₂²	1	2	yes	—
35	#14582621	C₂²	1	2	yes	—
36	C₄₃×#532	C₂²	1	1	yes	characteristic
37	C₄₃×#423	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
39	C₄₃×D₄⋊C₈	C₂²	1	4	yes	—
40	C₂×#10621898	—	2	1	no	—
41	C₂×#10621882	C₂×C₄	1	4	yes	—
42	#13063333	—	4	4	no	—
43	#13063332	—	4	4	no	—
44	C₂×#10621877	—	2	1	no	—
45	C₂×#10621877	—	2	2	no	—
46	C₂×#10621872	—	2	2	no	—
47	C₂²×C₄₃⋊C₈	—	2	2	no	—
48	C₂²×C₄₃⋊C₈	C₂×C₄	1	2	yes	—
49	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
50	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
51	C₂×C₈×D₄₃	—	2	2	no	—
52	#13063325	C₂×C₄	1	1	yes	characteristic
53	#13063322	C₂×C₄	1	1	yes	characteristic
54	#13063313	—	2	1	no	—
55	#13063299	—	2	1	no	—
56	#13063299	C₂×C₄	1	2	yes	—
57	C₄×D₁₇₂	—	2	1	no	—
58	C₄×D₁₇₂	C₂³	1	2	yes	—
59	#13063258	C₂×C₄	1	4	yes	—
60	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
61	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
62	#13063246	C₂×C₄	1	4	yes	—
63	#13063245	C₂×C₄	1	4	yes	—
64	C₂²⋊(C₄₃⋊C₈)	—	2	2	no	—
65	C₂²⋊(C₄₃⋊C₈)	—	2	2	no	—
66	(C₂×D₄₃)⋊C₈	—	2	2	no	—
67	(C₂×D₄₃)⋊C₈	—	2	2	no	—
68	C₄×C₄₃⋊C₈	C₂×C₄	1	1	yes	characteristic
69	C₄×C₄₃⋊C₈	C₂×C₄	1	1	yes	characteristic
70	C₄×C₄₃⋊C₈	D₄	1	1	yes	characteristic
71	C₄×C₄₃⋊C₈	D₄	1	1	yes	characteristic
72	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
73	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
74	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
75	C₂×#41×C₄₃	—	2	1	no	—
76	C₂×M₁₆×C₄₃	—	2	1	no	—
77	C₂²×C₈×C₄₃	—	2	1	no	—
78	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
79	#127×C₄₃	C₂×C₄	1	1	yes	characteristic
80	#124×C₄₃	—	2	1	no	—
81	#121×C₄₃	—	2	1	no	—
82	#121×C₄₃	C₂×C₄	1	2	yes	—
83	C₄×D₄×C₄₃	—	2	1	no	—
84	C₄×D₄×C₄₃	C₂³	1	2	yes	—
85	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
86	C₄⋊C₈×C₄₃	—	2	1	no	—
87	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
88	C₄×C₈×C₄₃	—	2	1	no	—
89	C₄×C₈×C₄₃	C₂³	1	2	yes	—
90	#41×C₄₃	—	4	2	no	—
91	#41×C₄₃	—	4	2	no	—
92	C₂×Q₈×C₄₃	—	2	1	no	—
93	C₂×D₄×C₄₃	—	2	1	no	—
94	C₂×D₄×C₄₃	—	2	1	no	—
95	C₂×D₄×C₄₃	—	2	2	no	—
96	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
97	C₂²×C₄×C₄₃	—	2	2	no	—
98	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
99	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
100	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
101	C₂×C₂²⋊D₄₃	—	2	2	no	—
102	#10621898	—	4	2	no	—
103	#10621898	—	4	2	no	—
104	C₂×D₁₇₂	—	2	1	no	—
105	C₂×D₁₇₂	—	2	1	no	—
106	C₂×D₁₇₂	C₂²×C₄	1	2	yes	—
107	C₂×C₄×D₄₃	—	2	2	no	—
108	C₂×Dic₈₆	—	2	1	no	—
109	M₁₆×C₄₃	—	4	2	no	—
110	C₂×C₈×C₄₃	—	2	2	no	—
111	C₂×C₈×C₄₃	—	2	2	no	—
112	C₂×C₈×C₄₃	—	4	2	no	—
113	C₄⋊C₄×C₄₃	—	2	1	no	—
114	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
115	C₂²⋊C₄×C₄₃	—	2	2	no	—
116	C₂²⋊C₄×C₄₃	—	2	2	no	—
117	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
118	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
119	C₄²×C₄₃	#41	1	1	yes	characteristic
120	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
121	#10621882	—	2	8	no	—
122	(C₂×D₄₃)⋊C₄	—	2	2	no	—
123	(C₂×D₄₃)⋊C₄	—	2	2	no	—
124	C₄⋊Dic₄₃	—	2	1	no	—
125	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
126	#10621877	—	4	4	no	—
127	#10621877	—	4	2	no	—
128	C₂×C₄₃⋊C₈	—	2	2	no	—
129	C₂×C₄₃⋊C₈	—	2	2	no	—
130	C₂×C₄₃⋊C₈	—	2	4	no	—
131	C₂×C₄₃⋊C₈	—	2	2	no	—
132	C₂×C₄₃⋊C₈	—	4	4	no	—
133	C₂×C₄₃⋊C₈	C₂²×C₄	1	2	yes	—
134	C₂×C₄₃⋊C₈	C₂²×C₄	1	2	yes	—
135	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
136	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
137	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
138	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
139	#10621872	—	4	4	no	—
140	C₈×D₄₃	—	4	4	no	—
141	C₂³×C₄₃	—	2	2	no	—
142	C₂³×C₄₃	C₄×D₄	1	1	yes	characteristic
143	C₂²×D₄₃	—	2	2	no	—
144	Q₈×C₄₃	—	4	2	no	—
145	D₄×C₄₃	—	2	4	no	—
146	D₄×C₄₃	—	4	4	no	—
147	D₄×C₄₃	—	4	2	no	—
148	D₄×C₄₃	—	4	2	no	—
149	C₂×C₄×C₄₃	—	2	2	no	—
150	C₂×C₄×C₄₃	—	2	2	no	—
151	C₂×C₄×C₄₃	—	2	2	no	—
152	C₂×C₄×C₄₃	—	4	2	no	—
153	C₂×C₄×C₄₃	—	4	2	no	—
154	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
155	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
156	C₂×C₄×C₄₃	C₄×D₄	1	1	yes	characteristic
157	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
158	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
159	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
160	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
161	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
162	C₂²⋊D₄₃	—	4	4	no	—
163	C₂×Dic₄₃	—	2	2	no	—
164	D₁₇₂	—	2	4	no	—
165	D₁₇₂	—	4	2	no	—
166	D₁₇₂	—	4	2	no	—
167	C₄×D₄₃	—	4	2	no	—
168	C₄×D₄₃	—	4	2	no	—
169	Dic₈₆	—	4	2	no	—
170	C₈×C₄₃	—	4	2	no	—
171	C₈×C₄₃	—	4	2	no	—
172	C₄₃⋊C₈	—	2	2	no	—
173	C₄₃⋊C₈	—	2	1	no	—
174	C₄₃⋊C₈	—	2	1	no	—
175	C₄₃⋊C₈	—	2	1	no	—
176	C₄₃⋊C₈	—	2	1	no	—
177	C₄₃⋊C₈	—	4	2	no	—
178	C₄₃⋊C₈	#131	1	4	yes	complemented
179	#17962	—	43	1	no	maximal, Sylow
180	C₂²×C₄₃	—	2	1	no	—
181	C₂²×C₄₃	—	2	1	no	—
182	C₂²×C₄₃	—	4	2	no	—
183	C₂²×C₄₃	—	4	2	no	—
184	C₂²×C₄₃	—	4	2	no	—
185	C₂²×C₄₃	#442	1	2	yes	—
186	C₂²×C₄₃	C₂×C₄×D₄	1	1	yes	characteristic
187	C₂×D₄₃	—	4	2	no	—
188	C₂×D₄₃	—	4	2	no	—
189	C₂×D₄₃	—	4	2	no	—
190	C₄×C₄₃	—	2	1	no	—
191	C₄×C₄₃	—	2	1	no	—
192	C₄×C₄₃	—	4	2	no	—
193	C₄×C₄₃	#442	1	2	yes	—
194	C₄×C₄₃	#444	1	2	yes	—
195	C₄×C₄₃	C₂×#131	1	2	yes	—
196	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
197	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
198	Dic₄₃	—	4	2	no	—
199	#3169	—	43	1	no	—
200	#2931	—	43	1	no	—
201	#2931	—	43	1	no	—
202	#1594	—	43	4	no	—
203	#1580	—	43	4	no	—
204	#1566	—	43	1	no	—
205	#1492	—	43	1	no	—
206	#1492	D₄₃	1	1	yes	characteristic, complemented
207	C₂×#322	—	43	1	no	—
208	C₂×C₄₃	—	2	2	no	—
209	C₂×C₄₃	—	8	2	no	—
210	C₂×C₄₃	#2931	1	1	yes	characteristic
211	C₂×C₄₃	C₂×#442	1	1	yes	characteristic
212	C₂×C₄₃	C₂×#444	1	1	yes	characteristic
213	D₄₃	—	8	2	no	—
214	C₂×#131	—	86	1	no	—
215	C₂×#131	—	86	1	no	—
216	#532	—	43	1	no	—
217	#532	C₂×D₄₃	1	1	yes	characteristic
218	#500	—	43	1	no	—
219	#493	—	43	1	no	—
220	#486	—	43	1	no	—
221	#486	—	43	1	no	—
222	#466	—	43	4	no	—
223	C₄×D₈	—	43	4	no	—
224	#436	—	43	2	no	—
225	#436	—	43	2	no	—
226	#436	—	86	1	no	—
227	#436	—	86	1	no	—
228	C₈×D₄	—	43	2	no	—
229	C₈×D₄	—	43	2	no	—
230	C₈×D₄	—	86	1	no	—
231	C₈×D₄	—	86	1	no	—
232	#423	—	43	1	no	—
233	#423	C₂×D₄₃	1	1	yes	characteristic
234	#408	—	86	1	no	—
235	#408	—	86	1	no	—
236	C₂×C₄×C₈	—	43	1	no	—
237	C₂×C₄×C₈	—	43	1	no	—
238	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
239	#334	—	43	4	no	—
240	D₄⋊C₈	—	43	4	no	—
241	D₄⋊C₈	C₂×D₄₃	1	4	yes	—
242	#322	—	43	2	no	—
243	#322	—	43	2	no	—
244	C₄₃	#17962	1	1	yes	characteristic, complemented, Sylow
245	C₂×#41	—	2	1	no	—
246	C₂×#41	—	86	1	no	—
247	C₂×D₈	—	43	4	no	—
248	#131	—	172	4	no	—
249	#131	—	172	4	no	—
250	C₂×M₁₆	—	2	1	no	—
251	C₂×M₁₆	—	86	2	no	—
252	C₂×M₁₆	—	86	2	no	—
253	C₂×M₁₆	—	86	1	no	—
254	C₂²×C₈	—	2	1	no	—
255	C₂²×C₈	—	43	2	no	—
256	C₂²×C₈	—	43	1	no	—
257	C₂²×C₈	—	43	1	no	—
258	C₂²×C₈	—	86	2	no	—
259	C₂²×C₈	—	86	2	no	—
260	C₄⋊Q₈	—	43	1	no	—
261	C₄⋊Q₈	C₄×D₄₃	1	1	yes	characteristic
262	#127	—	43	1	no	—
263	#127	C₄×D₄₃	1	1	yes	characteristic
264	#124	—	2	1	no	—
265	#124	—	86	1	no	—
266	#121	—	2	1	no	—
267	#121	—	43	2	no	—
268	#121	—	86	1	no	—
269	#121	C₄×D₄₃	1	2	yes	—
270	C₄×D₄	—	2	1	no	—
271	C₄×D₄	—	43	2	no	—
272	C₄×D₄	—	86	1	no	—
273	C₄×D₄	C₂²×D₄₃	1	2	yes	—
274	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
275	#107	—	43	4	no	—
276	C₄⋊C₈	—	2	1	no	—
277	C₄⋊C₈	—	43	2	no	—
278	C₄⋊C₈	—	86	1	no	—
279	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
280	#102	—	43	4	no	—
281	#102	—	43	4	no	—
282	C₂²⋊C₈	—	86	2	no	—
283	C₂²⋊C₈	—	86	2	no	—
284	C₂²⋊C₈	—	86	2	no	—
285	C₂²⋊C₈	—	86	2	no	—
286	C₄×C₈	—	2	1	no	—
287	C₄×C₈	—	43	1	no	—
288	C₄×C₈	—	43	1	no	—
289	C₄×C₈	—	43	1	no	—
290	C₄×C₈	—	43	1	no	—
291	C₄×C₈	—	43	2	no	—
292	C₄×C₈	—	43	1	no	—
293	C₄×C₈	—	43	1	no	—
294	C₄×C₈	C₂²×D₄₃	1	2	yes	—
295	#41	—	4	2	no	—
296	#41	—	4	2	no	—
297	#41	—	172	2	no	—
298	#41	—	172	2	no	—
299	C₂×Q₈	—	2	1	no	—
300	C₂×Q₈	—	86	1	no	—
301	C₂×D₄	—	2	2	no	—
302	C₂×D₄	—	2	1	no	—
303	C₂×D₄	—	2	1	no	—
304	C₂×D₄	—	43	2	no	—
305	C₂×D₄	—	86	2	no	—
306	C₂×D₄	—	86	1	no	—
307	C₂×D₄	—	86	1	no	—
308	C₂×D₄	C₂×C₄×D₄₃	1	2	yes	—
309	C₂²×C₄	—	2	2	no	—
310	C₂²×C₄	—	86	2	no	—
311	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
312	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
313	C₂²×C₄	#10621900	1	1	yes	characteristic
314	D₈	—	86	8	no	—
315	M₁₆	—	4	2	no	—
316	M₁₆	—	172	4	no	—
317	M₁₆	—	172	4	no	—
318	M₁₆	—	172	2	no	—
319	C₂×C₈	—	2	2	no	—
320	C₂×C₈	—	2	2	no	—
321	C₂×C₈	—	4	2	no	—
322	C₂×C₈	—	43	2	no	—
323	C₂×C₈	—	43	2	no	—
324	C₂×C₈	—	43	1	no	—
325	C₂×C₈	—	43	1	no	—
326	C₂×C₈	—	43	1	no	—
327	C₂×C₈	—	43	1	no	—
328	C₂×C₈	—	86	4	no	—
329	C₂×C₈	—	86	2	no	—
330	C₂×C₈	—	86	2	no	—
331	C₂×C₈	—	86	2	no	—
332	C₂×C₈	—	172	4	no	—
333	C₂×C₈	—	172	4	no	—
334	C₄⋊C₄	—	2	1	no	—
335	C₄⋊C₄	—	43	2	no	—
336	C₄⋊C₄	—	86	1	no	—
337	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
338	C₂²⋊C₄	—	2	2	no	—
339	C₂²⋊C₄	—	2	2	no	—
340	C₂²⋊C₄	—	86	2	no	—
341	C₂²⋊C₄	—	86	2	no	—
342	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
343	C₄²	D₄×D₄₃	1	1	yes	characteristic
344	C₄²	#10621900	1	1	yes	characteristic
345	C₄²	C₂³×D₄₃	1	1	yes	characteristic
346	C₂³	—	2	2	no	—
347	C₂³	—	86	2	no	—
348	C₂³	(C₂²⋊D₄₃)⋊C₄	1	1	yes	characteristic
349	Q₈	—	4	2	no	—
350	Q₈	—	172	2	no	—
351	D₄	—	2	4	no	—
352	D₄	—	4	4	no	—
353	D₄	—	4	2	no	—
354	D₄	—	4	2	no	—
355	D₄	—	86	4	no	—
356	D₄	—	172	4	no	—
357	D₄	—	172	2	no	—
358	D₄	—	172	2	no	—
359	C₂×C₄	—	2	2	no	—
360	C₂×C₄	—	2	2	no	—
361	C₂×C₄	—	2	2	no	—
362	C₂×C₄	—	4	2	no	—
363	C₂×C₄	—	4	2	no	—
364	C₂×C₄	—	86	2	no	—
365	C₂×C₄	—	172	2	no	—
366	C₂×C₄	—	172	2	no	—
367	C₂×C₄	(C₂²⋊D₄₃)⋊C₄	1	1	yes	characteristic
368	C₂×C₄	(C₂²⋊D₄₃)⋊C₄	1	1	yes	characteristic
369	C₂×C₄	(C₂²⋊D₄₃)⋊C₄	1	1	yes	characteristic
370	C₂×C₄	#13063349	1	2	yes	—
371	C₂×C₄	#13063352	1	2	yes	—
372	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
373	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
374	C₂×C₄	C₂×#10621900	1	1	yes	characteristic
375	C₈	—	4	2	no	—
376	C₈	—	4	2	no	—
377	C₈	—	43	4	no	—
378	C₈	—	86	2	no	—
379	C₈	—	86	1	no	—
380	C₈	—	86	1	no	—
381	C₈	—	86	1	no	—
382	C₈	—	86	1	no	—
383	C₈	—	172	2	no	—
384	C₂²	—	2	1	no	—
385	C₂²	—	2	1	no	—
386	C₂²	—	4	2	no	—
387	C₂²	—	4	2	no	—
388	C₂²	—	4	2	no	—
389	C₂²	—	172	2	no	—
390	C₂²	—	172	2	no	—
391	C₂²	—	172	2	no	—
392	C₂²	#14583008	1	2	yes	—
393	C₂²	C₂×(C₂²⋊D₄₃)⋊C₄	1	1	yes	characteristic
394	C₄	—	2	1	no	—
395	C₄	—	2	1	no	—
396	C₄	—	4	2	no	—
397	C₄	—	172	2	no	—
398	C₄	#14583008	1	2	yes	—
399	C₄	#14583018	1	2	yes	—
400	C₄	#131×D₄₃	1	2	yes	—
401	C₄	C₂×#13063349	1	1	yes	characteristic
402	C₄	C₂×#13063352	1	1	yes	characteristic
403	C₂	—	2	2	no	—
404	C₂	—	8	2	no	—
405	C₂	—	344	2	no	—
406	C₂	#19143303	1	1	yes	characteristic
407	C₂	C₂×#14583008	1	1	yes	characteristic
408	C₂	C₂×#14583018	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₃
commutator	C₂×C₄×C₄₃	C₂³×C₄
Frattini	C₄²	C₂³×D₄₃
Fitting	C₄₃×#1492	C₂
socle	C₂²×C₄₃	C₂×C₄×D₄
prime radical	#19145170	C₂
cosocle	C₄²×C₄₃	C₂⁴
hypercenter	#1492	D₄₃
hypocenter	C₄₃	#17962
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #1492

Complements

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

N	H ≅ G/N	type
2. #19143307	C₂	semidirect
3. #19143306	C₂	semidirect
4. #19133506	C₂	semidirect
5. #19133416	C₂	semidirect
6. #19133350	C₂	semidirect
7. #19133047	C₂	semidirect
8. C₂×#14582621	C₂	semidirect
9. C₄₃×#1492	C₂	semidirect
178. C₄₃⋊C₈	#131	semidirect
206. #1492	D₄₃	semidirect
244. C₄₃	#17962	semidirect

Maximal subgroups

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

subgroup	index
#19145170	2
#19143307	2
#19143306	2
#19133506	2
#19133416	2
#19133350	2
#19133047	2
C₂×#14582621	2
C₄₃×#1492	2
#17962	43