Subgroups — #25088083

Order 11008.

710 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	#19147581	C₂	1	1	yes	maximal, characteristic, complemented
2	#19146826	C₂	1	2	yes	maximal, complemented
3	#19134200	C₂	1	1	yes	maximal, characteristic, complemented
4	#19134154	C₂	1	2	yes	maximal, complemented
5	#19133960	C₂	1	1	yes	maximal, characteristic, complemented
6	#19133952	C₂	1	1	yes	maximal, characteristic, complemented
7	#19133774	C₂	1	2	yes	maximal, complemented
8	#19133703	C₂	1	2	yes	maximal, complemented
9	#19133480	C₂	1	1	yes	maximal, characteristic, complemented
10	C₈×#10621883	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×D₈×C₄₃	C₂	1	1	yes	maximal, characteristic
12	#14583619	C₂²	1	2	yes	complemented
13	#14583282	—	2	1	no	—
14	#14583279	C₂²	1	1	yes	characteristic, complemented
15	#14583245	C₂²	1	2	yes	complemented
16	#14583245	C₂²	1	2	yes	complemented
17	#14583220	—	2	2	no	—
18	#14583179	C₂²	1	2	yes	—
19	#14583143	—	2	2	no	—
20	#14583120	—	2	2	no	—
21	#14583104	C₂²	1	2	yes	complemented
22	#14583096	C₂²	1	2	yes	complemented
23	#14583050	—	2	2	no	—
24	C₈×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
25	#14582993	—	2	1	no	—
26	C₄×#10621883	C₂²	1	1	yes	characteristic
27	#14582977	C₂²	1	2	yes	complemented
28	#14582904	—	2	2	no	—
29	#14582652	C₂²	1	1	yes	characteristic, complemented
30	#14582649	C₂²	1	1	yes	characteristic, complemented
31	#14582646	C₂²	1	2	yes	complemented
32	#14582643	C₂²	1	2	yes	complemented
33	#14582629	C₂²	1	1	yes	characteristic, complemented
34	D₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
35	D₄⋊(C₄₃⋊C₈)	C₂²	1	2	yes	complemented
36	C₈×C₄₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
37	C₂²×D₈×C₄₃	—	2	1	no	—
38	D₄²×C₄₃	C₂²	1	2	yes	—
39	C₄₃×#493	C₂²	1	1	yes	characteristic
40	C₄₃×#466	—	2	1	no	—
41	C₄₃×#459	C₂²	1	2	yes	—
42	C₄₃×#447	—	2	2	no	—
43	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic
44	C₈×D₄×C₄₃	C₂²	1	1	yes	characteristic
45	C₂×Dic₁₇₂	—	2	1	no	—
46	C₂×Dic₁₇₂	—	2	1	no	—
47	C₂×#10621883	—	2	2	no	—
48	C₂×#10621883	—	2	2	no	—
49	C₂×#10621883	D₄	1	1	yes	characteristic
50	C₂×#10621877	—	2	2	no	—
51	#13063325	C₂³	1	2	yes	—
52	#13063318	—	4	2	no	—
53	#13063312	—	2	2	no	—
54	#13063304	—	2	2	no	—
55	C₄×Dic₈₆	C₂³	1	1	yes	characteristic
56	#13063290	—	2	2	no	—
57	#13063284	—	2	2	no	—
58	#13063258	—	2	2	no	—
59	#13063256	D₄	1	1	yes	characteristic
60	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
61	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
62	Dic₄₃⋊C₈	—	2	1	no	—
63	#13063248	—	2	2	no	—
64	#13063248	D₄	1	1	yes	characteristic
65	#13063246	—	2	2	no	—
66	#13063246	—	2	2	no	—
67	#13063246	—	2	2	no	—
68	#13063246	—	2	2	no	—
69	#13063246	—	4	2	no	—
70	#13063246	D₄	1	1	yes	characteristic
71	C₂²⋊(C₄₃⋊C₈)	—	2	2	no	—
72	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
73	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
74	C₈×Dic₄₃	—	2	1	no	—
75	C₂²×D₄×C₄₃	—	2	2	no	—
76	C₂²×D₄×C₄₃	—	2	2	no	—
77	C₂×D₈×C₄₃	—	2	2	no	—
78	C₂×D₈×C₄₃	—	2	1	no	—
79	C₂×D₈×C₄₃	—	2	1	no	—
80	C₂×D₈×C₄₃	—	4	4	no	—
81	C₂×D₈×C₄₃	D₄	1	1	yes	characteristic
82	C₂²×C₈×C₄₃	—	2	1	no	—
83	#127×C₄₃	C₂³	1	2	yes	—
84	#121×C₄₃	—	2	2	no	—
85	#121×C₄₃	—	2	2	no	—
86	#120×C₄₃	—	4	2	no	—
87	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
88	C₄×D₄×C₄₃	C₂³	1	2	yes	—
89	#107×C₄₃	D₄	1	1	yes	characteristic
90	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
91	#102×C₄₃	—	2	2	no	—
92	#102×C₄₃	D₄	1	2	yes	—
93	C₂²⋊C₈×C₄₃	—	2	1	no	—
94	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
95	C₂⁴×C₄₃	—	4	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	2	no	—
100	C₂×D₄×C₄₃	—	4	2	no	—
101	C₂×D₄×C₄₃	—	4	4	no	—
102	C₂×D₄×C₄₃	—	4	4	no	—
103	C₂×D₄×C₄₃	—	8	2	no	—
104	C₂×D₄×C₄₃	—	8	2	no	—
105	C₂×D₄×C₄₃	C₂×D₄	1	1	yes	characteristic
106	C₂×D₄×C₄₃	C₂×D₄	1	2	yes	—
107	C₂²×C₄×C₄₃	—	2	1	no	—
108	C₂²×C₄×C₄₃	—	2	2	no	—
109	C₂×Dic₈₆	—	2	2	no	—
110	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
111	D₈×C₄₃	—	2	2	no	—
112	D₈×C₄₃	—	4	4	no	—
113	D₈×C₄₃	—	4	2	no	—
114	D₈×C₄₃	—	8	1	no	—
115	C₂×C₈×C₄₃	—	2	1	no	—
116	C₂×C₈×C₄₃	—	4	2	no	—
117	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
118	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
119	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
120	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
121	C₂²⋊C₄×C₄₃	—	2	1	no	—
122	C₂²⋊C₄×C₄₃	—	2	2	no	—
123	C₂²⋊C₄×C₄₃	—	4	2	no	—
124	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
125	C₂²⋊Dic₄₃	—	4	2	no	—
126	C₂²⋊Dic₄₃	—	4	2	no	—
127	#10621883	—	2	2	no	—
128	#10621883	—	8	2	no	—
129	#10621883	—	8	2	no	—
130	C₄⋊Dic₄₃	—	2	2	no	—
131	C₄⋊Dic₄₃	—	2	2	no	—
132	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
133	Dic₄₃⋊C₄	—	2	1	no	—
134	Dic₄₃⋊C₄	—	4	2	no	—
135	C₄×Dic₄₃	—	2	1	no	—
136	C₄×Dic₄₃	—	4	2	no	—
137	#10621877	—	8	2	no	—
138	C₂×C₄₃⋊C₈	—	2	1	no	—
139	C₂×C₄₃⋊C₈	—	2	2	no	—
140	C₂×C₄₃⋊C₈	—	2	1	no	—
141	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
142	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
143	Dic₁₇₂	—	4	2	no	—
144	Dic₁₇₂	—	8	1	no	—
145	C₂³×C₄₃	—	2	1	no	—
146	C₂³×C₄₃	—	2	2	no	—
147	C₂³×C₄₃	—	4	2	no	—
148	C₂³×C₄₃	—	8	4	no	—
149	C₂³×C₄₃	—	8	4	no	—
150	C₂³×C₄₃	—	16	2	no	—
151	D₄×C₄₃	—	2	2	no	—
152	D₄×C₄₃	—	2	1	no	—
153	D₄×C₄₃	—	2	2	no	—
154	D₄×C₄₃	—	4	2	no	—
155	D₄×C₄₃	—	4	2	no	—
156	D₄×C₄₃	—	4	2	no	—
157	D₄×C₄₃	—	4	2	no	—
158	D₄×C₄₃	—	8	2	no	—
159	D₄×C₄₃	—	8	4	no	—
160	D₄×C₄₃	—	8	4	no	—
161	D₄×C₄₃	#135	1	2	yes	—
162	C₂×C₄×C₄₃	—	2	2	no	—
163	C₂×C₄×C₄₃	—	2	1	no	—
164	C₂×C₄×C₄₃	—	4	2	no	—
165	C₂×C₄×C₄₃	—	4	1	no	—
166	C₂×C₄×C₄₃	—	4	2	no	—
167	C₂×C₄×C₄₃	—	4	1	no	—
168	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
169	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
170	C₂×C₄×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
171	C₂×Dic₄₃	—	2	1	no	—
172	C₂×Dic₄₃	—	2	1	no	—
173	C₂×Dic₄₃	—	4	2	no	—
174	Dic₈₆	—	2	1	no	—
175	Dic₈₆	—	2	1	no	—
176	Dic₈₆	—	4	2	no	—
177	Dic₈₆	—	4	2	no	—
178	C₈×C₄₃	—	2	1	no	—
179	C₈×C₄₃	—	4	1	no	—
180	C₈×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
181	C₄₃⋊C₈	—	2	1	no	—
182	C₄₃⋊C₈	—	2	1	no	—
183	C₄₃⋊C₈	—	4	1	no	—
184	C₄₃⋊C₈	—	4	2	no	—
185	C₄₃⋊C₈	—	4	1	no	—
186	#19900	—	43	1	no	maximal, Sylow
187	C₂²×C₄₃	—	2	2	no	—
188	C₂²×C₄₃	—	4	1	no	—
189	C₂²×C₄₃	—	4	1	no	—
190	C₂²×C₄₃	—	4	2	no	—
191	C₂²×C₄₃	—	4	2	no	—
192	C₂²×C₄₃	—	4	2	no	—
193	C₂²×C₄₃	—	8	2	no	—
194	C₂²×C₄₃	—	8	2	no	—
195	C₂²×C₄₃	—	8	2	no	—
196	C₂²×C₄₃	—	16	8	no	—
197	C₂²×C₄₃	D₄²	1	1	yes	characteristic
198	C₄×C₄₃	—	2	1	no	—
199	C₄×C₄₃	—	4	1	no	—
200	C₄×C₄₃	—	4	2	no	—
201	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
202	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
203	C₄×C₄₃	#576	1	1	yes	characteristic
204	C₄×C₄₃	#576	1	1	yes	characteristic
205	Dic₄₃	—	4	1	no	—
206	Dic₄₃	—	4	1	no	—
207	Dic₄₃	—	8	2	no	—
208	#3393	—	43	1	no	—
209	#3324	—	43	2	no	—
210	D₄×D₈	D₄₃	1	1	yes	characteristic
211	#1709	—	43	1	no	—
212	#1701	—	43	2	no	—
213	#1669	—	43	1	no	—
214	#1668	—	43	1	no	—
215	#1639	—	43	2	no	—
216	#1628	—	43	2	no	—
217	#1589	—	43	1	no	—
218	C₈×SD₁₆	—	43	1	no	—
219	C₂×C₄₃	—	4	2	no	—
220	C₂×C₄₃	—	8	2	no	—
221	C₂×C₄₃	—	16	2	no	—
222	C₂×C₄₃	#3274	1	1	yes	characteristic
223	C₂×C₄₃	#3280	1	1	yes	characteristic
224	C₂×C₄₃	#3290	1	1	yes	characteristic
225	C₂²×D₈	—	2	1	no	—
226	#556	—	43	2	no	—
227	D₄²	C₂×D₄₃	1	2	yes	—
228	#495	—	86	1	no	—
229	#494	—	43	1	no	—
230	#493	C₂×D₄₃	1	1	yes	characteristic
231	#486	—	43	2	no	—
232	#486	—	43	2	no	—
233	#482	—	86	2	no	—
234	#474	—	43	2	no	—
235	#468	—	86	2	no	—
236	#466	—	2	1	no	—
237	#464	—	86	2	no	—
238	#461	—	43	2	no	—
239	#460	—	43	2	no	—
240	#459	C₂×D₄₃	1	2	yes	—
241	#450	—	86	2	no	—
242	#447	—	2	2	no	—
243	C₈×Q₈	—	43	1	no	—
244	C₄×Q₁₆	—	86	1	no	—
245	C₄×SD₁₆	—	43	1	no	—
246	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic
247	#436	—	43	2	no	—
248	C₈×D₄	C₂×D₄₃	1	1	yes	characteristic
249	#418	—	86	2	no	—
250	#335	—	43	1	no	—
251	#334	—	43	1	no	—
252	#332	—	43	2	no	—
253	#331	—	43	2	no	—
254	Q₈⋊C₈	—	43	1	no	—
255	D₄⋊C₈	—	43	1	no	—
256	D₄⋊C₈	—	43	2	no	—
257	C₈²	—	43	1	no	—
258	C₄₃	#19900	1	1	yes	characteristic, complemented, Sylow
259	C₂²×D₄	—	2	2	no	—
260	C₂²×D₄	—	2	2	no	—
261	C₂×Q₁₆	—	86	1	no	—
262	C₂×Q₁₆	—	86	1	no	—
263	C₂×SD₁₆	—	43	1	no	—
264	C₂×SD₁₆	—	86	2	no	—
265	C₂×SD₁₆	—	86	2	no	—
266	C₂×D₈	—	2	2	no	—
267	C₂×D₈	—	2	1	no	—
268	C₂×D₈	—	2	1	no	—
269	C₂×D₈	—	4	4	no	—
270	C₂×D₈	C₂²⋊D₄₃	1	1	yes	characteristic
271	C₂×M₁₆	—	86	2	no	—
272	C₂²×C₈	—	2	1	no	—
273	C₄⋊Q₈	—	43	2	no	—
274	#127	C₂²×D₄₃	1	2	yes	—
275	#126	—	172	2	no	—
276	#124	—	86	2	no	—
277	C₂²⋊Q₈	—	86	2	no	—
278	#121	—	2	2	no	—
279	#121	—	2	2	no	—
280	#120	—	4	2	no	—
281	C₄×Q₈	—	43	1	no	—
282	C₄×Q₈	—	86	2	no	—
283	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
284	C₄×D₄	C₂²×D₄₃	1	2	yes	—
285	#117	—	86	2	no	—
286	#107	—	86	2	no	—
287	#107	C₂²⋊D₄₃	1	1	yes	characteristic
288	#106	—	43	1	no	—
289	C₄⋊C₈	—	43	1	no	—
290	C₄⋊C₈	—	43	2	no	—
291	C₄⋊C₈	—	86	1	no	—
292	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
293	#103	—	43	1	no	—
294	#103	—	86	2	no	—
295	#102	—	2	2	no	—
296	#102	—	43	1	no	—
297	#102	—	86	2	no	—
298	#102	—	86	2	no	—
299	#102	—	86	2	no	—
300	#102	—	86	2	no	—
301	#102	—	172	2	no	—
302	#102	C₂²⋊D₄₃	1	2	yes	—
303	C₂²⋊C₈	—	2	1	no	—
304	C₂²⋊C₈	—	86	2	no	—
305	C₄×C₈	—	43	1	no	—
306	C₄×C₈	—	43	1	no	—
307	C₄×C₈	—	86	1	no	—
308	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
309	C₂⁴	—	4	2	no	—
310	C₂×Q₈	—	43	1	no	—
311	C₂×Q₈	—	86	2	no	—
312	C₂×D₄	—	2	2	no	—
313	C₂×D₄	—	2	2	no	—
314	C₂×D₄	—	2	2	no	—
315	C₂×D₄	—	4	2	no	—
316	C₂×D₄	—	4	2	no	—
317	C₂×D₄	—	4	4	no	—
318	C₂×D₄	—	4	4	no	—
319	C₂×D₄	—	8	2	no	—
320	C₂×D₄	—	8	2	no	—
321	C₂×D₄	D₄×D₄₃	1	1	yes	characteristic
322	C₂×D₄	C₂×C₂²⋊D₄₃	1	2	yes	—
323	C₂²×C₄	—	2	2	no	—
324	C₂²×C₄	—	2	1	no	—
325	Q₁₆	—	344	1	no	—
326	Q₁₆	—	172	2	no	—
327	SD₁₆	—	86	2	no	—
328	SD₁₆	—	344	2	no	—
329	SD₁₆	—	344	2	no	—
330	D₈	—	2	2	no	—
331	D₈	—	4	4	no	—
332	D₈	—	4	2	no	—
333	D₈	—	8	1	no	—
334	M₁₆	—	344	2	no	—
335	C₂×C₈	—	2	1	no	—
336	C₂×C₈	—	4	2	no	—
337	C₂×C₈	—	43	1	no	—
338	C₂×C₈	—	43	1	no	—
339	C₂×C₈	—	86	2	no	—
340	C₂×C₈	—	86	1	no	—
341	C₂×C₈	—	86	1	no	—
342	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
343	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
344	C₄⋊C₄	—	43	1	no	—
345	C₄⋊C₄	—	86	1	no	—
346	C₄⋊C₄	—	86	2	no	—
347	C₄⋊C₄	—	86	2	no	—
348	C₄⋊C₄	—	172	2	no	—
349	C₄⋊C₄	D₄×D₄₃	1	1	yes	characteristic
350	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
351	C₂²⋊C₄	—	2	1	no	—
352	C₂²⋊C₄	—	2	2	no	—
353	C₂²⋊C₄	—	4	2	no	—
354	C₂²⋊C₄	—	172	2	no	—
355	C₂²⋊C₄	—	172	2	no	—
356	C₄²	—	86	1	no	—
357	C₄²	—	172	2	no	—
358	C₄²	C₂³×D₄₃	1	1	yes	characteristic
359	C₂³	—	2	1	no	—
360	C₂³	—	2	2	no	—
361	C₂³	—	4	2	no	—
362	C₂³	—	8	4	no	—
363	C₂³	—	8	4	no	—
364	C₂³	—	16	2	no	—
365	Q₈	—	86	1	no	—
366	Q₈	—	86	1	no	—
367	Q₈	—	172	2	no	—
368	Q₈	—	172	2	no	—
369	D₄	—	2	2	no	—
370	D₄	—	2	1	no	—
371	D₄	—	2	2	no	—
372	D₄	—	4	2	no	—
373	D₄	—	4	2	no	—
374	D₄	—	4	2	no	—
375	D₄	—	4	2	no	—
376	D₄	—	8	2	no	—
377	D₄	—	8	4	no	—
378	D₄	—	8	4	no	—
379	D₄	#13063344	1	2	yes	—
380	C₂×C₄	—	2	2	no	—
381	C₂×C₄	—	2	1	no	—
382	C₂×C₄	—	4	2	no	—
383	C₂×C₄	—	4	1	no	—
384	C₂×C₄	—	4	2	no	—
385	C₂×C₄	—	4	1	no	—
386	C₂×C₄	—	86	1	no	—
387	C₂×C₄	—	86	1	no	—
388	C₂×C₄	—	172	2	no	—
389	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
390	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
391	C₂×C₄	#13063370	1	1	yes	characteristic
392	C₈	—	2	1	no	—
393	C₈	—	4	1	no	—
394	C₈	—	86	1	no	—
395	C₈	—	86	1	no	—
396	C₈	—	172	1	no	—
397	C₈	—	172	2	no	—
398	C₈	—	172	1	no	—
399	C₈	#13063351	1	2	yes	—
400	C₂²	—	2	2	no	—
401	C₂²	—	4	1	no	—
402	C₂²	—	4	1	no	—
403	C₂²	—	4	2	no	—
404	C₂²	—	4	2	no	—
405	C₂²	—	4	2	no	—
406	C₂²	—	8	2	no	—
407	C₂²	—	8	2	no	—
408	C₂²	—	8	2	no	—
409	C₂²	—	16	8	no	—
410	C₂²	D₄×C₂²⋊D₄₃	1	1	yes	characteristic
411	C₄	—	2	1	no	—
412	C₄	—	4	2	no	—
413	C₄	—	4	1	no	—
414	C₄	—	344	2	no	—
415	C₄	—	172	1	no	—
416	C₄	—	172	1	no	—
417	C₄	C₂×#13063344	1	1	yes	characteristic
418	C₄	C₂×#13063351	1	1	yes	characteristic
419	C₄	#14583700	1	1	yes	characteristic
420	C₄	#14583702	1	1	yes	characteristic
421	C₂	—	4	2	no	—
422	C₂	—	8	2	no	—
423	C₂	—	16	2	no	—
424	C₂	#19146211	1	1	yes	characteristic
425	C₂	#19146280	1	1	yes	characteristic
426	C₂	#19146377	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	D₄×C₂²⋊D₄₃
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting, prime radical	D₄×D₈×C₄₃	C₂
socle	C₂²×C₄₃	D₄²
hypercenter	D₄×D₈	D₄₃
hypocenter	C₄₃	#19900
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ D₄×D₈

Complements

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

N	H ≅ G/N	type
1. #19147581	C₂	semidirect
2. #19146826	C₂	semidirect
3. #19134200	C₂	semidirect
4. #19134154	C₂	semidirect
5. #19133960	C₂	semidirect
6. #19133952	C₂	semidirect
7. #19133774	C₂	semidirect
8. #19133703	C₂	semidirect
9. #19133480	C₂	semidirect
10. C₈×#10621883	C₂	semidirect
12. #14583619	C₂²	semidirect
14. #14583279	C₂²	semidirect
15. #14583245	C₂²	semidirect
16. #14583245	C₂²	semidirect
21. #14583104	C₂²	semidirect
22. #14583096	C₂²	semidirect
24. C₈×Dic₈₆	C₂²	semidirect
27. #14582977	C₂²	semidirect
29. #14582652	C₂²	semidirect
30. #14582649	C₂²	semidirect
31. #14582646	C₂²	semidirect
32. #14582643	C₂²	semidirect
33. #14582629	C₂²	semidirect
35. D₄⋊(C₄₃⋊C₈)	C₂²	semidirect
36. C₈×C₄₃⋊C₈	C₂²	semidirect
258. C₄₃	#19900	semidirect

Maximal subgroups

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

subgroup	index
#19147581	2
#19146826	2
#19134200	2
#19134154	2
#19133960	2
#19133952	2
#19133774	2
#19133703	2
#19133480	2
C₈×#10621883	2
D₄×D₈×C₄₃	2
#19900	43