Subgroups — #25250986

Order 11008.

696 conjugacy classes of subgroups.

The subgroup lattice has 428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19147729	C₂	1	2	yes	maximal, complemented
2	C₂×#14583017	C₂	1	1	yes	maximal, characteristic, complemented
3	#19136673	C₂	1	2	yes	maximal, complemented
4	#19136668	C₂	1	2	yes	maximal, complemented
5	#19136661	C₂	1	4	yes	maximal, complemented
6	C₂×#14582720	C₂	1	1	yes	maximal, characteristic, complemented
7	#19136344	C₂	1	2	yes	maximal, complemented
8	C₄₃×#3147	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#13063347	C₂²	1	1	yes	characteristic
10	C₂×#13063331	—	2	1	no	—
11	#14583340	C₂²	1	4	yes	—
12	#14583339	—	2	2	no	—
13	#14583335	C₂²	1	4	yes	—
14	#14583334	—	2	2	no	—
15	#14583329	—	2	4	no	—
16	C₂×#13063265	C₂²	1	2	yes	—
17	#14583017	—	2	1	no	—
18	#14583017	—	2	1	no	—
19	#14583017	C₂²	1	2	yes	—
20	#14583017	C₂²	1	2	yes	—
21	C₂×#13063261	C₂²	1	1	yes	characteristic
22	C₂×#13063253	—	2	1	no	—
23	#14582720	C₂²	1	2	yes	complemented
24	#14582720	C₂²	1	2	yes	complemented
25	#14582715	C₂²	1	4	yes	complemented
26	#14582712	C₂²	1	4	yes	complemented
27	C₂×#135×C₄₃	—	2	1	no	—
28	C₂×#135×C₄₃	C₂²	1	2	yes	—
29	C₄₃×#532	—	2	1	no	—
30	C₄₃×#495	—	2	1	no	—
31	C₄₃×#495	C₂²	1	2	yes	complemented
32	C₄₃×#494	C₂²	1	1	yes	characteristic, complemented
33	C₄₃×#493	C₂²	1	1	yes	characteristic, complemented
34	C₄₃×#492	—	2	1	no	—
35	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
36	C₂×#10621898	—	2	1	no	—
37	#13063347	—	2	1	no	—
38	#13063347	—	2	1	no	—
39	#13063347	D₄	1	2	yes	complemented
40	#13063347	C₂³	1	2	yes	—
41	C₂×Dic₁₇₂	D₄	1	1	yes	characteristic, complemented
42	C₂×#10621873	—	2	1	no	—
43	C₂×D₃₄₄	D₄	1	1	yes	characteristic, complemented
44	#13063331	—	2	2	no	—
45	#13063331	—	2	2	no	—
46	#13063331	—	4	1	no	—
47	#13063331	—	4	1	no	—
48	C₂×#10621877	—	2	1	no	—
49	C₂×#10621872	—	4	1	no	—
50	C₂×C₈×D₄₃	—	4	1	no	—
51	#13063271	—	2	4	no	—
52	#13063269	—	2	4	no	—
53	#13063268	—	2	4	no	—
54	#13063266	—	2	4	no	—
55	#13063265	—	2	2	no	—
56	#13063265	C₂³	1	4	yes	—
57	C₂×C₄₃⋊C₁₆	—	2	2	no	—
58	#13063261	—	2	1	no	—
59	#13063261	C₂³	1	2	yes	—
60	#13063253	—	2	2	no	—
61	#13063253	—	2	2	no	—
62	C₂×#41×C₄₃	—	2	2	no	—
63	#135×C₄₃	—	2	2	no	—
64	#135×C₄₃	—	2	2	no	—
65	#135×C₄₃	—	2	2	no	—
66	#135×C₄₃	—	2	2	no	—
67	#135×C₄₃	—	4	1	no	—
68	#135×C₄₃	—	4	1	no	—
69	#135×C₄₃	—	4	1	no	—
70	#135×C₄₃	—	4	1	no	—
71	C₂×Q₁₆×C₄₃	—	2	1	no	—
72	C₂×Q₁₆×C₄₃	C₂³	1	2	yes	—
73	C₂×SD₁₆×C₄₃	—	2	2	no	—
74	C₂×SD₁₆×C₄₃	—	2	2	no	—
75	C₂×D₈×C₄₃	—	2	1	no	—
76	C₂×D₈×C₄₃	C₂³	1	2	yes	—
77	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
78	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
79	C₄⋊Q₈×C₄₃	—	2	1	no	—
80	#127×C₄₃	—	2	1	no	—
81	#124×C₄₃	—	2	2	no	—
82	#121×C₄₃	—	4	2	no	—
83	C₄×D₄×C₄₃	—	4	2	no	—
84	C₂×C₄²×C₄₃	D₄	1	1	yes	characteristic
85	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
86	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
87	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
88	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
89	#41×C₄₃	—	4	2	no	—
90	#41×C₄₃	—	4	2	no	—
91	#41×C₄₃	—	4	2	no	—
92	#41×C₄₃	—	4	2	no	—
93	C₂×Q₈×C₄₃	—	2	2	no	—
94	C₂×D₄×C₄₃	—	2	2	no	—
95	C₂×D₄×C₄₃	—	4	2	no	—
96	C₂×D₄×C₄₃	—	4	2	no	—
97	C₂²×C₄×C₄₃	—	2	1	no	—
98	C₂²×C₄×C₄₃	—	4	2	no	—
99	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
100	C₂×C₂²⋊D₄₃	—	4	1	no	—
101	#10621898	—	2	2	no	—
102	#10621898	—	2	2	no	—
103	#10621898	—	4	1	no	—
104	#10621898	—	4	1	no	—
105	C₂×D₁₇₂	—	2	1	no	—
106	C₂×C₄×D₄₃	—	4	1	no	—
107	C₂×Dic₈₆	—	2	1	no	—
108	Q₁₆×C₄₃	—	2	2	no	—
109	Q₁₆×C₄₃	—	2	2	no	—
110	Q₁₆×C₄₃	—	4	1	no	—
111	Q₁₆×C₄₃	—	4	1	no	—
112	SD₁₆×C₄₃	—	4	2	no	—
113	SD₁₆×C₄₃	—	4	2	no	—
114	SD₁₆×C₄₃	—	4	2	no	—
115	SD₁₆×C₄₃	—	4	2	no	—
116	D₈×C₄₃	—	2	2	no	—
117	D₈×C₄₃	—	2	2	no	—
118	D₈×C₄₃	—	4	1	no	—
119	D₈×C₄₃	—	4	1	no	—
120	C₂×C₈×C₄₃	D₈	1	1	yes	characteristic
121	C₂×C₈×C₄₃	D₈	1	1	yes	characteristic
122	C₂×C₈×C₄₃	D₈	1	1	yes	characteristic
123	C₂×C₈×C₄₃	D₈	1	1	yes	characteristic
124	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
125	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
126	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
127	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
128	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
129	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
130	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
131	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
132	C₄⋊C₄×C₄₃	—	4	2	no	—
133	C₂²⋊C₄×C₄₃	—	4	4	no	—
134	C₄²×C₄₃	—	2	1	no	—
135	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
136	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
137	#10621877	—	2	2	no	—
138	#10621877	—	4	1	no	—
139	C₂×C₄₃⋊C₈	—	4	1	no	—
140	Dic₁₇₂	—	2	1	no	—
141	Dic₁₇₂	C₂×D₄	1	2	yes	—
142	D₃₄₄	—	2	1	no	—
143	D₃₄₄	C₂×D₄	1	2	yes	—
144	#10621873	—	2	2	no	—
145	#10621873	—	2	2	no	—
146	#10621872	—	4	2	no	—
147	#10621872	—	4	2	no	—
148	C₈×D₄₃	—	4	2	no	—
149	C₈×D₄₃	—	4	2	no	—
150	C₄₃⋊C₁₆	—	2	4	no	—
151	C₂³×C₄₃	—	4	2	no	—
152	C₂³×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
153	C₂²×D₄₃	—	4	1	no	—
154	Q₈×C₄₃	—	4	2	no	—
155	Q₈×C₄₃	—	4	2	no	—
156	D₄×C₄₃	—	4	2	no	—
157	D₄×C₄₃	—	4	2	no	—
158	D₄×C₄₃	—	8	4	no	—
159	D₄×C₄₃	—	8	2	no	—
160	D₄×C₄₃	—	8	2	no	—
161	C₂×C₄×C₄₃	—	2	1	no	—
162	C₂×C₄×C₄₃	—	2	1	no	—
163	C₂×C₄×C₄₃	—	4	2	no	—
164	C₂×C₄×C₄₃	—	4	2	no	—
165	C₂×C₄×C₄₃	—	8	2	no	—
166	C₂×C₄×C₄₃	—	8	2	no	—
167	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
168	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
169	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
170	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
171	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
172	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
173	C₂²⋊D₄₃	—	4	2	no	—
174	C₂²⋊D₄₃	—	4	2	no	—
175	C₂×Dic₄₃	—	4	1	no	—
176	D₁₇₂	—	2	2	no	—
177	D₁₇₂	—	4	1	no	—
178	C₄×D₄₃	—	4	2	no	—
179	C₄×D₄₃	—	4	2	no	—
180	Dic₈₆	—	2	2	no	—
181	Dic₈₆	—	4	1	no	—
182	C₈×C₄₃	#121	1	1	yes	characteristic
183	C₈×C₄₃	#121	1	1	yes	characteristic
184	C₈×C₄₃	C₂×D₈	1	1	yes	characteristic
185	C₈×C₄₃	C₂×D₈	1	1	yes	characteristic
186	C₈×C₄₃	C₂×D₈	1	1	yes	characteristic
187	C₈×C₄₃	C₂×D₈	1	1	yes	characteristic
188	C₈×C₄₃	C₂²×D₄	1	1	yes	characteristic
189	C₈×C₄₃	C₂×#41	1	1	yes	characteristic
190	C₄₃⋊C₈	—	4	2	no	—
191	#33594	—	43	1	no	maximal, Sylow
192	C₂²×C₄₃	—	4	1	no	—
193	C₂²×C₄₃	—	8	4	no	—
194	C₂²×C₄₃	—	8	2	no	—
195	C₂²×C₄₃	#459	1	1	yes	characteristic
196	C₂²×C₄₃	#459	1	1	yes	characteristic
197	C₂²×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
198	C₂×D₄₃	—	4	2	no	—
199	C₂×D₄₃	—	8	2	no	—
200	C₄×C₄₃	—	2	2	no	—
201	C₄×C₄₃	—	4	1	no	—
202	C₄×C₄₃	—	8	2	no	—
203	C₄×C₄₃	#459	1	1	yes	characteristic
204	C₄×C₄₃	#459	1	1	yes	characteristic
205	C₄×C₄₃	C₂×#121	1	1	yes	characteristic
206	C₄×C₄₃	C₂²×D₈	1	1	yes	characteristic
207	Dic₄₃	—	4	2	no	—
208	#3414	—	43	2	no	—
209	#3147	D₄₃	1	1	yes	characteristic, complemented
210	C₂×#443	—	43	1	no	—
211	#2214	—	43	2	no	—
212	#2213	—	43	2	no	—
213	#2212	—	43	4	no	—
214	C₂×#364	—	43	1	no	—
215	#2148	—	43	2	no	—
216	C₂×C₄₃	—	2	1	no	—
217	C₂×C₄₃	—	2	1	no	—
218	C₂×C₄₃	—	2	1	no	—
219	C₂×C₄₃	—	16	2	no	—
220	C₂×C₄₃	C₂×#459	1	1	yes	characteristic
221	D₄₃	—	8	2	no	—
222	C₂×#135	—	2	1	no	—
223	C₂×#135	—	43	1	no	—
224	C₂×#135	C₂×D₄₃	1	2	yes	—
225	C₂×#131	—	86	1	no	—
226	#532	—	2	1	no	—
227	#510	—	43	4	no	—
228	#510	—	86	2	no	—
229	#509	—	43	4	no	—
230	#509	—	86	2	no	—
231	#508	—	86	4	no	—
232	C₂×M₃₂	—	43	2	no	—
233	#495	—	2	1	no	—
234	#495	C₂×D₄₃	1	2	yes	complemented
235	#494	C₂×D₄₃	1	1	yes	characteristic, complemented
236	#493	C₂×D₄₃	1	1	yes	characteristic, complemented
237	#492	—	2	1	no	—
238	#443	—	43	2	no	—
239	#443	—	43	2	no	—
240	#443	—	86	1	no	—
241	#443	—	86	1	no	—
242	C₂×#108	—	43	1	no	—
243	C₂×#104	—	86	1	no	—
244	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
245	#364	—	43	2	no	—
246	#364	—	43	2	no	—
247	#362	—	43	4	no	—
248	#361	—	43	4	no	—
249	C₄₃	#33594	1	1	yes	characteristic, complemented, Sylow
250	C₂×#41	—	2	2	no	—
251	C₂×#41	—	86	1	no	—
252	#135	—	2	2	no	—
253	#135	—	2	2	no	—
254	#135	—	2	2	no	—
255	#135	—	2	2	no	—
256	#135	—	4	1	no	—
257	#135	—	4	1	no	—
258	#135	—	4	1	no	—
259	#135	—	4	1	no	—
260	#135	—	43	2	no	—
261	#135	—	43	2	no	—
262	#135	—	86	1	no	—
263	#135	—	86	1	no	—
264	C₂×Q₁₆	—	2	1	no	—
265	C₂×Q₁₆	—	43	1	no	—
266	C₂×Q₁₆	C₂²×D₄₃	1	2	yes	—
267	C₂×SD₁₆	—	2	2	no	—
268	C₂×SD₁₆	—	2	2	no	—
269	C₂×SD₁₆	—	86	1	no	—
270	C₂×D₈	—	2	1	no	—
271	C₂×D₈	—	43	1	no	—
272	C₂×D₈	C₂²×D₄₃	1	2	yes	—
273	#131	—	86	2	no	—
274	#131	—	86	2	no	—
275	#131	—	172	1	no	—
276	#131	—	172	1	no	—
277	C₂×M₁₆	—	86	1	no	—
278	C₂×M₁₆	—	172	1	no	—
279	C₂²×C₈	—	172	1	no	—
280	C₂²×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
281	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
282	C₄⋊Q₈	—	2	1	no	—
283	#127	—	2	1	no	—
284	#124	—	2	2	no	—
285	#121	—	4	2	no	—
286	C₄×D₄	—	4	2	no	—
287	C₂×C₄²	C₂²⋊D₄₃	1	1	yes	characteristic
288	Q₃₂	—	86	4	no	—
289	SD₃₂	—	86	4	no	—
290	SD₃₂	—	86	4	no	—
291	D₁₆	—	86	4	no	—
292	M₃₂	—	43	4	no	—
293	M₃₂	—	86	2	no	—
294	C₂×C₁₆	—	86	2	no	—
295	#108	—	43	2	no	—
296	#108	—	86	1	no	—
297	#104	—	86	2	no	—
298	#104	—	86	2	no	—
299	C₄×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
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	#41	—	4	2	no	—
304	#41	—	4	2	no	—
305	#41	—	4	2	no	—
306	#41	—	4	2	no	—
307	#41	—	86	2	no	—
308	#41	—	86	2	no	—
309	#41	—	172	1	no	—
310	#41	—	172	1	no	—
311	C₂×Q₈	—	2	2	no	—
312	C₂×Q₈	—	86	1	no	—
313	C₂×D₄	—	2	2	no	—
314	C₂×D₄	—	4	2	no	—
315	C₂×D₄	—	4	2	no	—
316	C₂×D₄	—	86	1	no	—
317	C₂×D₄	—	172	1	no	—
318	C₂²×C₄	—	2	1	no	—
319	C₂²×C₄	—	4	2	no	—
320	C₂²×C₄	—	172	1	no	—
321	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
322	Q₁₆	—	2	2	no	—
323	Q₁₆	—	2	2	no	—
324	Q₁₆	—	4	1	no	—
325	Q₁₆	—	4	1	no	—
326	Q₁₆	—	43	2	no	—
327	Q₁₆	—	86	1	no	—
328	SD₁₆	—	4	2	no	—
329	SD₁₆	—	4	2	no	—
330	SD₁₆	—	4	2	no	—
331	SD₁₆	—	4	2	no	—
332	SD₁₆	—	86	2	no	—
333	SD₁₆	—	86	2	no	—
334	D₈	—	2	2	no	—
335	D₈	—	2	2	no	—
336	D₈	—	4	1	no	—
337	D₈	—	4	1	no	—
338	D₈	—	43	2	no	—
339	D₈	—	86	1	no	—
340	M₁₆	—	86	2	no	—
341	M₁₆	—	172	1	no	—
342	M₁₆	—	172	2	no	—
343	M₁₆	—	172	2	no	—
344	C₂×C₈	—	172	1	no	—
345	C₂×C₈	—	172	2	no	—
346	C₂×C₈	—	172	2	no	—
347	C₂×C₈	#10621882	1	1	yes	characteristic
348	C₂×C₈	#10621882	1	1	yes	characteristic
349	C₂×C₈	#10621882	1	1	yes	characteristic
350	C₂×C₈	#10621882	1	1	yes	characteristic
351	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
352	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
353	C₂×C₈	#10621900	1	1	yes	characteristic
354	C₂×C₈	#10621900	1	1	yes	characteristic
355	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
356	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
357	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
358	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
359	C₄⋊C₄	—	4	2	no	—
360	C₂²⋊C₄	—	4	4	no	—
361	C₄²	—	2	1	no	—
362	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
363	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
364	C₁₆	—	86	4	no	—
365	C₂³	—	4	2	no	—
366	C₂³	—	172	1	no	—
367	C₂³	#13063351	1	1	yes	characteristic
368	Q₈	—	4	2	no	—
369	Q₈	—	4	2	no	—
370	Q₈	—	86	2	no	—
371	Q₈	—	172	1	no	—
372	D₄	—	4	2	no	—
373	D₄	—	4	2	no	—
374	D₄	—	8	4	no	—
375	D₄	—	8	2	no	—
376	D₄	—	8	2	no	—
377	D₄	—	86	2	no	—
378	D₄	—	172	2	no	—
379	D₄	—	172	2	no	—
380	D₄	—	172	1	no	—
381	C₂×C₄	—	2	1	no	—
382	C₂×C₄	—	2	1	no	—
383	C₂×C₄	—	4	2	no	—
384	C₂×C₄	—	4	2	no	—
385	C₂×C₄	—	8	2	no	—
386	C₂×C₄	—	8	2	no	—
387	C₂×C₄	—	172	1	no	—
388	C₂×C₄	—	172	2	no	—
389	C₂×C₄	—	172	2	no	—
390	C₂×C₄	#13063296	1	1	yes	characteristic
391	C₂×C₄	#13063296	1	1	yes	characteristic
392	C₂×C₄	C₂×#10621882	1	1	yes	characteristic
393	C₂×C₄	C₂×#10621882	1	1	yes	characteristic
394	C₂×C₄	#13063351	1	1	yes	characteristic
395	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
396	C₈	—	172	2	no	—
397	C₈	#13063296	1	1	yes	characteristic
398	C₈	#13063296	1	1	yes	characteristic
399	C₈	C₂×#10621882	1	1	yes	characteristic
400	C₈	C₂×#10621882	1	1	yes	characteristic
401	C₈	C₂×#10621882	1	1	yes	characteristic
402	C₈	C₂×#10621882	1	1	yes	characteristic
403	C₈	C₂×D₄×D₄₃	1	1	yes	characteristic
404	C₈	C₂×#10621900	1	1	yes	characteristic
405	C₂²	—	4	1	no	—
406	C₂²	—	8	4	no	—
407	C₂²	—	8	2	no	—
408	C₂²	—	344	2	no	—
409	C₂²	—	172	2	no	—
410	C₂²	#14583091	1	1	yes	characteristic
411	C₂²	#14583091	1	1	yes	characteristic
412	C₂²	C₂×#13063351	1	1	yes	characteristic
413	C₄	—	2	2	no	—
414	C₄	—	4	1	no	—
415	C₄	—	8	2	no	—
416	C₄	—	172	2	no	—
417	C₄	#14583091	1	1	yes	characteristic
418	C₄	#14583091	1	1	yes	characteristic
419	C₄	C₂×#13063296	1	1	yes	characteristic
420	C₄	C₂²×#10621882	1	1	yes	characteristic
421	C₂	—	2	1	no	—
422	C₂	—	2	1	no	—
423	C₂	—	2	1	no	—
424	C₂	—	16	2	no	—
425	C₂	—	344	2	no	—
426	C₂	C₂×#14583091	1	1	yes	characteristic

	subgroup	G/H
center	C₄	#14583091
commutator, cosocle	C₂×C₈×C₄₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₄₃×#3147	C₂
socle	C₂×C₄₃	C₂×#459
hypercenter	#3147	D₄₃
hypocenter	C₄₃	#33594
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₄ ◁ C₂²×C₄ ◁ C₂×C₄×C₈ ◁ #3147

Complements

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

N	H ≅ G/N	type
1. #19147729	C₂	semidirect
2. C₂×#14583017	C₂	semidirect
3. #19136673	C₂	semidirect
4. #19136668	C₂	semidirect
5. #19136661	C₂	semidirect
6. C₂×#14582720	C₂	semidirect
7. #19136344	C₂	semidirect
8. C₄₃×#3147	C₂	semidirect
23. #14582720	C₂²	semidirect
24. #14582720	C₂²	semidirect
25. #14582715	C₂²	semidirect
26. #14582712	C₂²	semidirect
31. C₄₃×#495	C₂²	semidirect
32. C₄₃×#494	C₂²	semidirect
33. C₄₃×#493	C₂²	semidirect
39. #13063347	D₄	semidirect
41. C₂×Dic₁₇₂	D₄	semidirect
43. C₂×D₃₄₄	D₄	semidirect
209. #3147	D₄₃	semidirect
234. #495	C₂×D₄₃	semidirect
235. #494	C₂×D₄₃	semidirect
236. #493	C₂×D₄₃	semidirect
249. C₄₃	#33594	semidirect

Maximal subgroups

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

subgroup	index
#19147729	2
C₂×#14583017	2
#19136673	2
#19136668	2
#19136661	2
C₂×#14582720	2
#19136344	2
C₄₃×#3147	2
#33594	43