Subgroups — #25251183

Order 11008.

656 conjugacy classes of subgroups.

The subgroup lattice has 436 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583337	C₂	1	1	yes	maximal, characteristic, complemented
2	#19144315	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#14583169	C₂	1	1	yes	maximal, characteristic, complemented
4	#19136725	C₂	1	4	yes	maximal, complemented
5	#19136715	C₂	1	4	yes	maximal, complemented
6	#19136390	C₂	1	1	yes	maximal, characteristic, complemented
7	#19136345	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#14582713	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₃×#3407	C₂	1	1	yes	maximal, characteristic, complemented
10	#14583697	—	2	1	no	—
11	C₂×#13063350	—	2	1	no	—
12	C₂×#13063347	C₂²	1	1	yes	characteristic
13	C₂²×D₃₄₄	C₂²	1	1	yes	characteristic
14	#14583337	—	2	2	no	—
15	#14583337	—	2	2	no	—
16	C₂×#13063270	C₂²	1	2	yes	complemented
17	C₂×D₆₈₈	C₂²	1	2	yes	complemented
18	#14583174	C₂²	1	2	yes	complemented
19	#14583169	—	2	2	no	—
20	#14583169	C₂²	1	4	yes	—
21	#14583169	C₂²	1	2	yes	complemented
22	#14583162	—	2	2	no	—
23	C₂×#13063261	C₂²	1	1	yes	characteristic
24	C₂×#13063261	C₂²	1	1	yes	characteristic
25	#14582881	—	2	1	no	—
26	C₂×#13063241	—	2	1	no	—
27	#14582729	C₂²	1	4	yes	complemented
28	#14582716	C₂²	1	2	yes	complemented
29	#14582713	C₂²	1	4	yes	complemented
30	#14582713	C₂²	1	2	yes	complemented
31	C₂×#131×C₄₃	C₂²	1	1	yes	characteristic
32	C₄₃×#504	—	2	2	no	—
33	C₄₃×#504	C₂²	1	4	yes	complemented
34	C₂×M₃₂×C₄₃	—	2	2	no	—
35	C₂×M₃₂×C₄₃	C₂²	1	1	yes	characteristic
36	C₂×M₃₂×C₄₃	C₂²	1	1	yes	characteristic
37	C₂×#10621898	—	2	1	no	—
38	C₂²×D₁₇₂	—	2	1	no	—
39	#13063356	—	4	1	no	—
40	#13063355	—	2	2	no	—
41	#13063351	—	4	1	no	—
42	#13063350	—	2	2	no	—
43	#13063350	—	2	4	no	—
44	#13063350	—	4	2	no	—
45	#13063347	—	2	1	no	—
46	#13063347	—	2	1	no	—
47	#13063347	—	2	1	no	—
48	#13063347	—	2	1	no	—
49	#13063345	—	4	2	no	—
50	C₂×Dic₁₇₂	C₂³	1	1	yes	characteristic
51	C₂×#10621873	—	2	1	no	—
52	C₂×#10621884	—	4	1	no	—
53	C₂×D₃₄₄	—	2	1	no	—
54	C₂×D₃₄₄	—	2	1	no	—
55	C₂×D₃₄₄	—	2	1	no	—
56	C₂×D₃₄₄	—	2	1	no	—
57	C₂×D₃₄₄	—	2	1	no	—
58	C₂×D₃₄₄	C₂³	1	1	yes	characteristic
59	C₂×D₃₄₄	C₂³	1	2	yes	—
60	C₂×#10621882	—	4	1	no	—
61	C₂×#10621877	—	2	1	no	—
62	C₂×#10621877	—	2	1	no	—
63	#13063270	—	2	4	no	—
64	D₆₈₈	—	2	4	no	—
65	#13063261	—	2	1	no	—
66	#13063261	—	2	1	no	—
67	#13063261	C₂³	1	2	yes	—
68	#13063261	C₂³	1	2	yes	—
69	#13063243	—	2	2	no	—
70	#13063241	—	2	4	no	—
71	#13063241	—	2	2	no	—
72	C₂×#41×C₄₃	D₄	1	1	yes	characteristic
73	#131×C₄₃	—	2	1	no	—
74	#131×C₄₃	—	2	1	no	—
75	#131×C₄₃	D₄	1	2	yes	—
76	#131×C₄₃	C₂³	1	2	yes	—
77	C₂×M₁₆×C₄₃	—	2	1	no	—
78	C₂×M₁₆×C₄₃	D₄	1	1	yes	characteristic
79	C₂²×C₈×C₄₃	—	2	1	no	—
80	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
81	M₃₂×C₄₃	—	2	1	no	—
82	M₃₂×C₄₃	—	2	4	no	—
83	M₃₂×C₄₃	D₄	1	2	yes	—
84	M₃₂×C₄₃	D₄	1	2	yes	—
85	M₃₂×C₄₃	C₂³	1	2	yes	—
86	C₂×C₁₆×C₄₃	—	2	1	no	—
87	C₂×C₁₆×C₄₃	—	2	4	no	—
88	C₂×C₁₆×C₄₃	C₂³	1	2	yes	—
89	C₂³×D₄₃	—	4	1	no	—
90	#41×C₄₃	—	2	1	no	—
91	#41×C₄₃	—	2	1	no	—
92	#41×C₄₃	D₈	1	2	yes	—
93	#41×C₄₃	C₂×D₄	1	2	yes	—
94	C₂×Q₈×C₄₃	D₈	1	1	yes	characteristic
95	C₂×D₄×C₄₃	—	2	1	no	—
96	C₂×D₄×C₄₃	D₈	1	1	yes	characteristic
97	C₂²×C₄×C₄₃	—	2	1	no	—
98	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
99	C₂×C₂²⋊D₄₃	—	4	1	no	—
100	#10621898	—	4	1	no	—
101	#10621898	—	4	1	no	—
102	#10621898	—	4	1	no	—
103	#10621898	—	4	1	no	—
104	C₂×D₁₇₂	—	2	2	no	—
105	C₂×D₁₇₂	—	2	1	no	—
106	C₂×D₁₇₂	—	4	1	no	—
107	C₂×D₁₇₂	—	4	1	no	—
108	C₂×D₁₇₂	—	4	1	no	—
109	C₂×D₁₇₂	—	4	1	no	—
110	C₂×D₁₇₂	—	4	1	no	—
111	C₂×C₄×D₄₃	—	4	1	no	—
112	C₂×Dic₈₆	—	2	1	no	—
113	M₁₆×C₄₃	—	2	1	no	—
114	M₁₆×C₄₃	—	2	2	no	—
115	M₁₆×C₄₃	—	2	2	no	—
116	M₁₆×C₄₃	C₂×D₄	1	2	yes	—
117	C₂×C₈×C₄₃	—	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	#41	1	1	yes	characteristic
124	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
125	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
126	#10621885	—	4	2	no	—
127	#10621884	—	4	4	no	—
128	#10621884	—	4	2	no	—
129	#10621883	—	4	2	no	—
130	#10621882	—	4	4	no	—
131	#10621882	—	4	2	no	—
132	#10621877	—	2	2	no	—
133	#10621877	—	2	2	no	—
134	#10621877	—	4	1	no	—
135	#10621877	—	4	1	no	—
136	C₂×C₄₃⋊C₈	—	4	1	no	—
137	C₂×C₄₃⋊C₈	—	4	1	no	—
138	Dic₁₇₂	—	2	1	no	—
139	Dic₁₇₂	—	2	1	no	—
140	D₃₄₄	—	2	1	no	—
141	D₃₄₄	—	2	2	no	—
142	D₃₄₄	—	2	2	no	—
143	D₃₄₄	—	2	1	no	—
144	D₃₄₄	—	4	1	no	—
145	D₃₄₄	—	4	1	no	—
146	#10621873	—	4	1	no	—
147	#10621873	—	4	1	no	—
148	C₁₆×C₄₃	—	2	2	no	—
149	C₁₆×C₄₃	C₂×D₄	1	4	yes	—
150	C₂³×C₄₃	—	2	1	no	—
151	C₂³×C₄₃	#135	1	1	yes	characteristic
152	C₂²×D₄₃	—	4	1	no	—
153	C₂²×D₄₃	—	4	2	no	—
154	C₂²×D₄₃	—	8	1	no	—
155	C₂²×D₄₃	—	8	1	no	—
156	C₂²×D₄₃	—	16	2	no	—
157	Q₈×C₄₃	—	2	1	no	—
158	Q₈×C₄₃	C₂×D₈	1	2	yes	—
159	D₄×C₄₃	—	2	2	no	—
160	D₄×C₄₃	—	2	2	no	—
161	D₄×C₄₃	—	2	1	no	—
162	D₄×C₄₃	C₂×D₈	1	2	yes	—
163	C₂×C₄×C₄₃	—	2	1	no	—
164	C₂×C₄×C₄₃	—	2	2	no	—
165	C₂×C₄×C₄₃	—	2	2	no	—
166	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
167	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
168	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
169	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
170	C₂×C₄×C₄₃	#135	1	1	yes	characteristic
171	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
172	C₂²⋊D₄₃	—	8	1	no	—
173	C₂²⋊D₄₃	—	8	1	no	—
174	C₂×Dic₄₃	—	4	1	no	—
175	D₁₇₂	—	4	1	no	—
176	D₁₇₂	—	4	2	no	—
177	D₁₇₂	—	4	2	no	—
178	D₁₇₂	—	4	1	no	—
179	D₁₇₂	—	8	1	no	—
180	D₁₇₂	—	8	1	no	—
181	C₄×D₄₃	—	8	1	no	—
182	C₄×D₄₃	—	8	1	no	—
183	Dic₈₆	—	4	1	no	—
184	Dic₈₆	—	4	1	no	—
185	C₈×C₄₃	—	2	2	no	—
186	C₈×C₄₃	#121	1	1	yes	characteristic
187	C₈×C₄₃	#121	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	C₄₃⋊C₈	—	4	2	no	—
192	#33618	—	43	1	no	maximal, Sylow
193	C₂²×C₄₃	—	2	2	no	—
194	C₂²×C₄₃	—	4	1	no	—
195	C₂²×C₄₃	—	8	1	no	—
196	C₂²×C₄₃	#466	1	1	yes	characteristic
197	C₂²×C₄₃	#466	1	1	yes	characteristic
198	C₂²×C₄₃	C₂×#135	1	1	yes	characteristic
199	C₂×D₄₃	—	8	2	no	—
200	C₂×D₄₃	—	8	1	no	—
201	C₂×D₄₃	—	16	2	no	—
202	C₂×D₄₃	—	16	2	no	—
203	C₂×D₄₃	—	16	1	no	—
204	C₂×D₄₃	—	16	2	no	—
205	C₄×C₄₃	—	2	2	no	—
206	C₄×C₄₃	#466	1	1	yes	characteristic
207	C₄×C₄₃	#466	1	1	yes	characteristic
208	C₄×C₄₃	C₂×#121	1	1	yes	characteristic
209	C₄×C₄₃	C₂²×D₈	1	1	yes	characteristic
210	Dic₄₃	—	8	1	no	—
211	C₂×#509	—	43	1	no	—
212	#3407	D₄₃	1	1	yes	characteristic, complemented
213	#3067	—	43	1	no	—
214	C₂×#472	—	43	1	no	—
215	#2223	—	43	4	no	—
216	#2221	—	43	4	no	—
217	#2161	—	43	1	no	—
218	#2148	—	43	1	no	—
219	C₂×#361	—	43	1	no	—
220	C₂×C₄₃	—	2	1	no	—
221	C₂×C₄₃	—	2	1	no	—
222	C₂×C₄₃	—	2	1	no	—
223	C₂×C₄₃	—	4	2	no	—
224	C₂×C₄₃	C₂×#466	1	1	yes	characteristic
225	D₄₃	—	16	1	no	—
226	D₄₃	—	16	2	no	—
227	#575	—	86	1	no	—
228	C₂×AGL(1,ℤ/8)	—	86	1	no	—
229	C₂×#135	—	43	1	no	—
230	C₂²×D₈	—	43	1	no	—
231	C₂×#131	C₂×D₄₃	1	1	yes	characteristic
232	#509	—	86	2	no	—
233	#509	—	86	2	no	—
234	C₂×SD₃₂	—	43	2	no	—
235	C₂×D₁₆	—	43	2	no	—
236	#504	—	2	2	no	—
237	#504	C₂×D₄₃	1	4	yes	complemented
238	C₂×M₃₂	—	2	2	no	—
239	C₂×M₃₂	C₂×D₄₃	1	1	yes	characteristic
240	C₂×M₃₂	C₂×D₄₃	1	1	yes	characteristic
241	#473	—	43	2	no	—
242	#472	—	43	4	no	—
243	#472	—	43	2	no	—
244	#472	—	86	2	no	—
245	#471	—	86	2	no	—
246	C₂×#108	—	43	1	no	—
247	C₂×#108	—	43	1	no	—
248	#413	—	86	1	no	—
249	C₂×#100	—	86	1	no	—
250	#368	—	43	4	no	—
251	#362	—	43	2	no	—
252	#361	—	43	4	no	—
253	#361	—	43	2	no	—
254	C₄₃	#33618	1	1	yes	characteristic, complemented, Sylow
255	C₂×#41	—	86	1	no	—
256	C₂×#41	D₁₇₂	1	1	yes	characteristic
257	C₂²×D₄	—	86	1	no	—
258	#137	—	86	2	no	—
259	#137	—	172	1	no	—
260	AGL(1,ℤ/8)	—	86	4	no	—
261	AGL(1,ℤ/8)	—	86	2	no	—
262	AGL(1,ℤ/8)	—	172	2	no	—
263	AGL(1,ℤ/8)	—	172	1	no	—
264	#135	—	86	1	no	—
265	#135	—	86	1	no	—
266	#135	—	86	1	no	—
267	#135	—	86	1	no	—
268	#135	—	172	2	no	—
269	C₂×Q₁₆	—	43	1	no	—
270	C₂×SD₁₆	—	86	1	no	—
271	C₂×SD₁₆	—	172	1	no	—
272	C₂×D₈	—	43	2	no	—
273	C₂×D₈	—	43	1	no	—
274	C₂×D₈	—	86	1	no	—
275	C₂×D₈	—	86	1	no	—
276	C₂×D₈	—	86	1	no	—
277	C₂×D₈	—	86	1	no	—
278	C₂×D₈	—	86	1	no	—
279	C₂×D₈	—	172	1	no	—
280	#131	—	2	1	no	—
281	#131	—	2	1	no	—
282	#131	D₁₇₂	1	2	yes	—
283	#131	C₂²×D₄₃	1	2	yes	—
284	C₂×M₁₆	—	2	1	no	—
285	C₂×M₁₆	—	86	1	no	—
286	C₂×M₁₆	—	86	1	no	—
287	C₂×M₁₆	D₁₇₂	1	1	yes	characteristic
288	C₂²×C₈	—	2	1	no	—
289	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
290	SD₃₂	—	86	4	no	—
291	D₁₆	—	86	4	no	—
292	M₃₂	—	2	1	no	—
293	M₃₂	—	2	4	no	—
294	M₃₂	C₂²⋊D₄₃	1	2	yes	—
295	M₃₂	C₂²⋊D₄₃	1	2	yes	—
296	M₃₂	C₂²×D₄₃	1	2	yes	—
297	C₂×C₁₆	—	2	1	no	—
298	C₂×C₁₆	—	2	4	no	—
299	C₂×C₁₆	C₂²×D₄₃	1	2	yes	—
300	#108	—	43	2	no	—
301	#108	—	43	2	no	—
302	#108	—	86	1	no	—
303	#108	—	86	1	no	—
304	#101	—	86	2	no	—
305	#100	—	86	4	no	—
306	#100	—	86	2	no	—
307	C₂⁴	—	172	1	no	—
308	#41	—	2	1	no	—
309	#41	—	2	1	no	—
310	#41	—	172	1	no	—
311	#41	—	172	1	no	—
312	#41	—	172	1	no	—
313	#41	—	172	1	no	—
314	#41	D₃₄₄	1	2	yes	—
315	#41	C₂×D₁₇₂	1	2	yes	—
316	C₂×Q₈	—	86	1	no	—
317	C₂×Q₈	D₃₄₄	1	1	yes	characteristic
318	C₂×D₄	—	2	1	no	—
319	C₂×D₄	—	86	2	no	—
320	C₂×D₄	—	86	1	no	—
321	C₂×D₄	—	172	1	no	—
322	C₂×D₄	—	172	1	no	—
323	C₂×D₄	—	172	1	no	—
324	C₂×D₄	—	172	1	no	—
325	C₂×D₄	—	172	1	no	—
326	C₂×D₄	—	172	1	no	—
327	C₂×D₄	D₃₄₄	1	1	yes	characteristic
328	C₂²×C₄	—	2	1	no	—
329	C₂²×C₄	—	172	1	no	—
330	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
331	Q₁₆	—	86	1	no	—
332	Q₁₆	—	86	1	no	—
333	Q₁₆	—	172	2	no	—
334	SD₁₆	—	172	4	no	—
335	SD₁₆	—	172	2	no	—
336	SD₁₆	—	172	2	no	—
337	SD₁₆	—	172	1	no	—
338	SD₁₆	—	172	1	no	—
339	D₈	—	86	1	no	—
340	D₈	—	86	2	no	—
341	D₈	—	86	2	no	—
342	D₈	—	86	1	no	—
343	D₈	—	172	4	no	—
344	D₈	—	172	2	no	—
345	D₈	—	172	1	no	—
346	D₈	—	172	1	no	—
347	M₁₆	—	2	1	no	—
348	M₁₆	—	2	2	no	—
349	M₁₆	—	2	2	no	—
350	M₁₆	—	86	2	no	—
351	M₁₆	—	86	2	no	—
352	M₁₆	—	172	1	no	—
353	M₁₆	—	172	1	no	—
354	M₁₆	C₂×D₁₇₂	1	2	yes	—
355	C₂×C₈	—	2	1	no	—
356	C₂×C₈	—	2	2	no	—
357	C₂×C₈	—	2	2	no	—
358	C₂×C₈	—	172	1	no	—
359	C₂×C₈	—	172	1	no	—
360	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
361	C₂×C₈	#10621898	1	1	yes	characteristic
362	C₂×C₈	#10621898	1	1	yes	characteristic
363	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
364	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
365	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
366	C₁₆	—	2	2	no	—
367	C₁₆	C₂×C₂²⋊D₄₃	1	4	yes	—
368	C₂³	—	2	1	no	—
369	C₂³	—	344	1	no	—
370	C₂³	—	344	1	no	—
371	C₂³	—	172	1	no	—
372	C₂³	—	172	2	no	—
373	C₂³	—	688	2	no	—
374	C₂³	#13063347	1	1	yes	characteristic
375	Q₈	—	2	1	no	—
376	Q₈	—	172	1	no	—
377	Q₈	—	172	1	no	—
378	Q₈	C₂×D₃₄₄	1	2	yes	—
379	D₄	—	2	2	no	—
380	D₄	—	2	2	no	—
381	D₄	—	2	1	no	—
382	D₄	—	344	1	no	—
383	D₄	—	344	1	no	—
384	D₄	—	344	1	no	—
385	D₄	—	344	1	no	—
386	D₄	—	172	2	no	—
387	D₄	—	172	1	no	—
388	D₄	—	172	2	no	—
389	D₄	—	172	1	no	—
390	D₄	C₂×D₃₄₄	1	2	yes	—
391	C₂×C₄	—	2	1	no	—
392	C₂×C₄	—	2	2	no	—
393	C₂×C₄	—	2	2	no	—
394	C₂×C₄	—	344	1	no	—
395	C₂×C₄	—	344	1	no	—
396	C₂×C₄	—	172	1	no	—
397	C₂×C₄	#13063299	1	1	yes	characteristic
398	C₂×C₄	#13063299	1	1	yes	characteristic
399	C₂×C₄	C₂×D₃₄₄	1	1	yes	characteristic
400	C₂×C₄	C₂×D₃₄₄	1	1	yes	characteristic
401	C₂×C₄	#13063347	1	1	yes	characteristic
402	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
403	C₈	—	2	2	no	—
404	C₈	—	172	2	no	—
405	C₈	—	172	2	no	—
406	C₈	#13063299	1	1	yes	characteristic
407	C₈	#13063299	1	1	yes	characteristic
408	C₈	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
409	C₈	C₂×#10621898	1	1	yes	characteristic
410	C₂²	—	2	2	no	—
411	C₂²	—	4	1	no	—
412	C₂²	—	8	1	no	—
413	C₂²	—	344	1	no	—
414	C₂²	—	344	2	no	—
415	C₂²	—	688	2	no	—
416	C₂²	—	688	1	no	—
417	C₂²	—	688	2	no	—
418	C₂²	—	688	2	no	—
419	C₂²	#14583135	1	1	yes	characteristic
420	C₂²	#14583135	1	1	yes	characteristic
421	C₂²	C₂×#13063347	1	1	yes	characteristic
422	C₄	—	2	2	no	—
423	C₄	—	344	1	no	—
424	C₄	#14583135	1	1	yes	characteristic
425	C₄	#14583135	1	1	yes	characteristic
426	C₄	C₂×#13063299	1	1	yes	characteristic
427	C₄	C₂²×D₃₄₄	1	1	yes	characteristic
428	C₂	—	2	1	no	—
429	C₂	—	2	1	no	—
430	C₂	—	2	1	no	—
431	C₂	—	4	2	no	—
432	C₂	—	688	2	no	—
433	C₂	—	688	1	no	—
434	C₂	C₂×#14583135	1	1	yes	characteristic

	subgroup	G/H
center	C₂	C₂×#14583135
commutator, cosocle	C₂×C₈×C₄₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₄₃×#3407	C₂
socle	C₂×C₄₃	C₂×#466
hypercenter	#3407	D₄₃
hypocenter	C₄₃	#33618
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂ ◁ C₂²×C₄ ◁ C₂×#131 ◁ #3407

Complements

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

N	H ≅ G/N	type
1. C₂×#14583337	C₂	semidirect
2. #19144315	C₂	semidirect
3. C₂×#14583169	C₂	semidirect
4. #19136725	C₂	semidirect
5. #19136715	C₂	semidirect
6. #19136390	C₂	semidirect
7. #19136345	C₂	semidirect
8. C₂×#14582713	C₂	semidirect
9. C₄₃×#3407	C₂	semidirect
16. C₂×#13063270	C₂²	semidirect
17. C₂×D₆₈₈	C₂²	semidirect
18. #14583174	C₂²	semidirect
21. #14583169	C₂²	semidirect
27. #14582729	C₂²	semidirect
28. #14582716	C₂²	semidirect
29. #14582713	C₂²	semidirect
30. #14582713	C₂²	semidirect
33. C₄₃×#504	C₂²	semidirect
212. #3407	D₄₃	semidirect
237. #504	C₂×D₄₃	semidirect
254. C₄₃	#33618	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583337	2
#19144315	2
C₂×#14583169	2
#19136725	2
#19136715	2
#19136390	2
#19136345	2
C₂×#14582713	2
C₄₃×#3407	2
#33618	43