Subgroups — #25251672

Order 11008.

592 conjugacy classes of subgroups.

The subgroup lattice has 416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145174	C₂	1	1	yes	maximal, characteristic, complemented
2	#19136786	C₂	1	2	yes	maximal, complemented
3	#19136737	C₂	1	1	yes	maximal, characteristic, complemented
4	#19136732	C₂	1	1	yes	maximal, characteristic, complemented
5	#19136635	C₂	1	1	yes	maximal, characteristic, complemented
6	#19136630	C₂	1	1	yes	maximal, characteristic, complemented
7	#19136518	C₂	1	2	yes	maximal, complemented
8	#19136469	C₂	1	2	yes	maximal, complemented
9	#19136457	C₂	1	2	yes	maximal, complemented
10	#19136398	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄×#135×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
12	#14583449	—	2	1	no	—
13	C₂×#13063268	C₂²	1	2	yes	—
14	C₂×#13063266	C₂²	1	2	yes	—
15	#14583304	C₂²	1	1	yes	characteristic
16	#14583276	C₂²	1	1	yes	characteristic
17	#14583246	—	2	1	no	—
18	#14583135	—	2	1	no	—
19	#14583135	C₂²	1	2	yes	—
20	C₄×D₃₄₄	—	2	1	no	—
21	C₄×D₃₄₄	C₂²	1	2	yes	—
22	#14582726	C₂²	1	2	yes	—
23	#14582724	C₂²	1	2	yes	—
24	C₄⋊(C₄₃⋊C₁₆)	C₂²	1	1	yes	characteristic
25	C₄⋊(C₄₃⋊C₁₆)	C₂²	1	1	yes	characteristic
26	#14582703	C₂²	1	2	yes	—
27	#14582700	C₂²	1	2	yes	—
28	#14582699	C₂²	1	2	yes	—
29	#14582699	C₂²	1	2	yes	—
30	C₂²⋊(C₄₃⋊C₁₆)	C₂²	1	2	yes	—
31	#14582675	C₂²	1	2	yes	—
32	C₂×#135×C₄₃	C₂²	1	1	yes	characteristic
33	C₄×#41×C₄₃	—	2	1	no	—
34	C₄×Q₁₆×C₄₃	C₂²	1	1	yes	characteristic
35	C₄×Q₁₆×C₄₃	C₂²	1	1	yes	characteristic
36	C₄×SD₁₆×C₄₃	—	2	1	no	—
37	C₄×SD₁₆×C₄₃	—	2	1	no	—
38	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic
39	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic
40	C₄₃×#427	C₂²	1	1	yes	characteristic
41	C₄₃×#416	—	2	1	no	—
42	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
43	C₂×#10621898	—	4	1	no	—
44	C₂×D₃₄₄	—	2	1	no	—
45	C₂×D₃₄₄	C₂³	1	2	yes	—
46	#13063325	—	2	1	no	—
47	#13063322	—	2	1	no	—
48	#13063313	—	4	1	no	—
49	#13063299	—	2	2	no	—
50	#13063299	—	4	1	no	—
51	C₄×D₁₇₂	—	2	2	no	—
52	C₄×D₁₇₂	—	4	1	no	—
53	#13063268	—	2	4	no	—
54	#13063266	—	2	4	no	—
55	C₂×C₄₃⋊C₁₆	C₂³	1	2	yes	—
56	C₂×C₄₃⋊C₁₆	C₂³	1	2	yes	—
57	#13063259	—	2	1	no	—
58	#13063259	C₂³	1	2	yes	—
59	#13063247	—	2	2	no	—
60	#13063247	—	2	2	no	—
61	C₂×#41×C₄₃	—	2	1	no	—
62	#135×C₄₃	—	2	2	no	—
63	#135×C₄₃	—	2	2	no	—
64	C₂×Q₁₆×C₄₃	C₂³	1	1	yes	characteristic
65	C₂×SD₁₆×C₄₃	—	2	1	no	—
66	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
67	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
68	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
69	C₄×Q₈×C₄₃	—	2	1	no	—
70	C₄×Q₈×C₄₃	—	2	1	no	—
71	C₄×D₄×C₄₃	—	2	1	no	—
72	C₄×D₄×C₄₃	—	2	1	no	—
73	C₄×D₄×C₄₃	—	4	1	no	—
74	C₄×D₄×C₄₃	—	4	1	no	—
75	#117×C₄₃	—	2	1	no	—
76	#117×C₄₃	—	4	1	no	—
77	C₂×C₄²×C₄₃	—	4	1	no	—
78	C₂×C₄²×C₄₃	D₄	1	1	yes	characteristic
79	#107×C₄₃	C₂³	1	1	yes	characteristic
80	#107×C₄₃	C₂³	1	1	yes	characteristic
81	#106×C₄₃	—	2	1	no	—
82	#103×C₄₃	—	2	1	no	—
83	#103×C₄₃	—	2	1	no	—
84	#102×C₄₃	—	2	1	no	—
85	#102×C₄₃	—	2	1	no	—
86	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
87	C₄×C₈×C₄₃	D₄	1	1	yes	characteristic
88	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
89	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
90	#41×C₄₃	—	2	4	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	—	4	1	no	—
95	C₂²×C₄×C₄₃	—	4	1	no	—
96	C₂²×C₄×C₄₃	—	4	1	no	—
97	C₂²×C₄×C₄₃	—	4	1	no	—
98	C₂²×C₄×C₄₃	D₈	1	1	yes	characteristic
99	C₂²×C₄×C₄₃	D₈	1	1	yes	characteristic
100	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
101	C₂×C₂²⋊D₄₃	—	4	2	no	—
102	#10621898	—	8	4	no	—
103	C₂×D₁₇₂	—	2	2	no	—
104	C₂×D₁₇₂	—	4	1	no	—
105	C₂×D₁₇₂	—	4	1	no	—
106	C₂×C₄×D₄₃	—	4	2	no	—
107	C₂×Dic₈₆	—	4	1	no	—
108	Q₁₆×C₄₃	—	2	1	no	—
109	Q₁₆×C₄₃	#41	1	2	yes	complemented
110	SD₁₆×C₄₃	—	2	4	no	—
111	D₈×C₄₃	—	2	1	no	—
112	D₈×C₄₃	#41	1	2	yes	complemented
113	C₂×C₈×C₄₃	—	2	1	no	—
114	C₂×C₈×C₄₃	—	2	1	no	—
115	C₂×C₈×C₄₃	—	4	1	no	—
116	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
117	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
118	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
119	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
120	C₄⋊C₄×C₄₃	—	2	1	no	—
121	C₄⋊C₄×C₄₃	—	2	1	no	—
122	C₄⋊C₄×C₄₃	—	4	1	no	—
123	C₄⋊C₄×C₄₃	—	4	1	no	—
124	C₂²⋊C₄×C₄₃	—	4	1	no	—
125	C₂²⋊C₄×C₄₃	—	4	1	no	—
126	C₂²⋊C₄×C₄₃	—	4	1	no	—
127	C₄²×C₄₃	—	4	1	no	—
128	C₄²×C₄₃	—	4	1	no	—
129	C₄²×C₄₃	—	4	1	no	—
130	C₄²×C₄₃	D₈	1	1	yes	characteristic
131	C₄²×C₄₃	D₈	1	1	yes	characteristic
132	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
133	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
134	(C₂×D₄₃)⋊C₄	—	4	2	no	—
135	(C₂×D₄₃)⋊C₄	—	4	2	no	—
136	C₄⋊Dic₄₃	—	2	2	no	—
137	C₄⋊Dic₄₃	—	4	1	no	—
138	D₃₄₄	—	2	2	no	—
139	D₃₄₄	—	2	2	no	—
140	D₃₄₄	—	4	2	no	—
141	C₄₃⋊C₁₆	—	2	2	no	—
142	C₄₃⋊C₁₆	—	2	2	no	—
143	C₂³×C₄₃	—	4	1	no	—
144	C₂³×C₄₃	C₂×D₈	1	1	yes	characteristic
145	C₂²×D₄₃	—	4	2	no	—
146	Q₈×C₄₃	—	2	2	no	—
147	Q₈×C₄₃	—	4	1	no	—
148	D₄×C₄₃	—	2	2	no	—
149	D₄×C₄₃	—	4	4	no	—
150	D₄×C₄₃	—	4	1	no	—
151	C₂×C₄×C₄₃	—	2	1	no	—
152	C₂×C₄×C₄₃	—	2	1	no	—
153	C₂×C₄×C₄₃	—	2	2	no	—
154	C₂×C₄×C₄₃	—	4	1	no	—
155	C₂×C₄×C₄₃	—	4	4	no	—
156	C₂×C₄×C₄₃	—	4	1	no	—
157	C₂×C₄×C₄₃	—	4	1	no	—
158	C₂×C₄×C₄₃	—	4	1	no	—
159	C₂×C₄×C₄₃	—	8	2	no	—
160	C₂×C₄×C₄₃	—	8	2	no	—
161	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
162	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
163	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
164	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
165	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
166	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
167	C₂²⋊D₄₃	—	8	4	no	—
168	C₂×Dic₄₃	—	4	2	no	—
169	D₁₇₂	—	4	2	no	—
170	D₁₇₂	—	4	2	no	—
171	D₁₇₂	—	8	2	no	—
172	D₁₇₂	—	8	2	no	—
173	C₄×D₄₃	—	8	4	no	—
174	Dic₈₆	—	8	2	no	—
175	C₈×C₄₃	—	2	1	no	—
176	C₈×C₄₃	—	2	1	no	—
177	C₈×C₄₃	—	2	1	no	—
178	C₈×C₄₃	C₂×#41	1	1	yes	characteristic
179	C₈×C₄₃	C₂×#41	1	1	yes	characteristic
180	#33675	—	43	1	no	maximal, Sylow
181	C₂²×C₄₃	—	2	1	no	—
182	C₂²×C₄₃	—	2	1	no	—
183	C₂²×C₄₃	—	2	1	no	—
184	C₂²×C₄₃	—	4	2	no	—
185	C₂²×C₄₃	—	8	1	no	—
186	C₂²×C₄₃	—	8	1	no	—
187	C₂²×C₄₃	C₂²×D₈	1	1	yes	characteristic
188	C₂×D₄₃	—	8	2	no	—
189	C₂×D₄₃	—	8	2	no	—
190	C₂×D₄₃	—	8	2	no	—
191	C₄×C₄₃	—	2	1	no	—
192	C₄×C₄₃	—	2	1	no	—
193	C₄×C₄₃	—	2	1	no	—
194	C₄×C₄₃	—	2	1	no	—
195	C₄×C₄₃	—	4	2	no	—
196	C₄×C₄₃	—	8	1	no	—
197	C₄×C₄₃	—	8	1	no	—
198	C₄×C₄₃	#509	1	2	yes	—
199	C₄×C₄₃	#525	1	1	yes	characteristic
200	C₄×C₄₃	#575	1	1	yes	characteristic
201	Dic₄₃	—	8	2	no	—
202	#3169	—	43	1	no	—
203	C₄×#135	D₄₃	1	1	yes	characteristic, complemented
204	#2234	—	43	2	no	—
205	#2225	—	43	1	no	—
206	#2224	—	43	1	no	—
207	#2207	—	43	1	no	—
208	#2206	—	43	1	no	—
209	#2186	—	43	2	no	—
210	#2177	—	43	2	no	—
211	#2175	—	43	2	no	—
212	#2163	—	43	1	no	—
213	C₂×C₄₃	—	4	1	no	—
214	C₂×C₄₃	—	8	2	no	—
215	C₂×C₄₃	#3100	1	1	yes	characteristic
216	C₂×C₄₃	C₂×#509	1	1	yes	characteristic
217	C₂×C₄₃	#3414	1	1	yes	characteristic
218	D₄₃	—	16	2	no	—
219	C₂×#135	C₂×D₄₃	1	1	yes	characteristic
220	#532	—	86	1	no	—
221	C₄×#41	—	2	1	no	—
222	C₂×SD₃₂	—	43	2	no	—
223	C₂×D₁₆	—	43	2	no	—
224	#500	—	43	1	no	—
225	#493	—	43	1	no	—
226	#486	—	86	1	no	—
227	#466	—	43	2	no	—
228	#466	—	86	1	no	—
229	C₄×Q₁₆	C₂×D₄₃	1	1	yes	characteristic
230	C₄×Q₁₆	C₂×D₄₃	1	1	yes	characteristic
231	C₄×SD₁₆	—	2	1	no	—
232	C₄×SD₁₆	—	2	1	no	—
233	C₄×D₈	—	43	2	no	—
234	C₄×D₈	—	86	1	no	—
235	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic
236	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic
237	#427	C₂×D₄₃	1	1	yes	characteristic
238	#416	—	2	1	no	—
239	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
240	#367	—	43	2	no	—
241	#366	—	43	2	no	—
242	C₄⋊C₁₆	—	43	1	no	—
243	C₄⋊C₁₆	—	43	1	no	—
244	#358	—	43	2	no	—
245	#357	—	43	2	no	—
246	#357	—	43	2	no	—
247	#357	—	43	2	no	—
248	C₂²⋊C₁₆	—	43	2	no	—
249	#346	—	43	2	no	—
250	C₄₃	#33675	1	1	yes	characteristic, complemented, Sylow
251	C₂×#41	—	2	1	no	—
252	C₂×#41	—	172	1	no	—
253	#135	—	2	2	no	—
254	#135	—	2	2	no	—
255	C₂×Q₁₆	C₂²×D₄₃	1	1	yes	characteristic
256	C₂×SD₁₆	—	2	1	no	—
257	C₂×D₈	—	43	2	no	—
258	C₂×D₈	—	86	1	no	—
259	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
260	C₂²×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
261	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
262	C₄⋊Q₈	—	86	1	no	—
263	#127	—	86	1	no	—
264	#124	—	172	1	no	—
265	#121	—	86	2	no	—
266	#121	—	172	1	no	—
267	C₄×Q₈	—	2	1	no	—
268	C₄×Q₈	—	2	1	no	—
269	C₄×D₄	—	2	1	no	—
270	C₄×D₄	—	2	1	no	—
271	C₄×D₄	—	4	1	no	—
272	C₄×D₄	—	4	1	no	—
273	C₄×D₄	—	86	2	no	—
274	C₄×D₄	—	172	1	no	—
275	#117	—	2	1	no	—
276	#117	—	4	1	no	—
277	C₂×C₄²	—	4	1	no	—
278	C₂×C₄²	C₂²⋊D₄₃	1	1	yes	characteristic
279	SD₃₂	—	86	4	no	—
280	D₁₆	—	86	4	no	—
281	C₂×C₁₆	—	43	2	no	—
282	C₂×C₁₆	—	43	2	no	—
283	#107	—	43	2	no	—
284	#107	—	86	1	no	—
285	#107	C₂²×D₄₃	1	1	yes	characteristic
286	#107	C₂²×D₄₃	1	1	yes	characteristic
287	#106	—	2	1	no	—
288	#103	—	2	1	no	—
289	#103	—	2	1	no	—
290	#102	—	2	1	no	—
291	#102	—	2	1	no	—
292	#102	—	86	2	no	—
293	#102	—	86	2	no	—
294	C₄×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
295	C₄×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
296	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
297	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
298	#41	—	2	4	no	—
299	#41	—	4	2	no	—
300	#41	—	344	4	no	—
301	C₂×Q₈	—	2	1	no	—
302	C₂×Q₈	—	172	1	no	—
303	C₂×D₄	—	2	1	no	—
304	C₂×D₄	—	4	1	no	—
305	C₂×D₄	—	86	2	no	—
306	C₂×D₄	—	172	2	no	—
307	C₂×D₄	—	172	1	no	—
308	C₂×D₄	—	172	1	no	—
309	C₂²×C₄	—	4	1	no	—
310	C₂²×C₄	—	4	1	no	—
311	C₂²×C₄	—	4	1	no	—
312	C₂²×C₄	—	172	2	no	—
313	C₂²×C₄	#10621882	1	1	yes	characteristic
314	C₂²×C₄	#10621882	1	1	yes	characteristic
315	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
316	Q₁₆	—	2	1	no	—
317	Q₁₆	#10621898	1	2	yes	complemented
318	SD₁₆	—	2	4	no	—
319	D₈	—	2	1	no	—
320	D₈	—	86	2	no	—
321	D₈	—	86	2	no	—
322	D₈	—	172	2	no	—
323	D₈	#10621898	1	2	yes	complemented
324	C₂×C₈	—	2	1	no	—
325	C₂×C₈	—	2	1	no	—
326	C₂×C₈	—	4	1	no	—
327	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
328	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
329	C₂×C₈	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
330	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
331	C₄⋊C₄	—	2	1	no	—
332	C₄⋊C₄	—	2	1	no	—
333	C₄⋊C₄	—	4	1	no	—
334	C₄⋊C₄	—	4	1	no	—
335	C₄⋊C₄	—	86	2	no	—
336	C₄⋊C₄	—	172	1	no	—
337	C₂²⋊C₄	—	4	1	no	—
338	C₂²⋊C₄	—	4	1	no	—
339	C₂²⋊C₄	—	4	1	no	—
340	C₂²⋊C₄	—	172	2	no	—
341	C₂²⋊C₄	—	172	2	no	—
342	C₄²	—	4	1	no	—
343	C₄²	—	4	1	no	—
344	C₄²	—	4	1	no	—
345	C₄²	#10621882	1	1	yes	characteristic
346	C₄²	#10621882	1	1	yes	characteristic
347	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
348	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
349	C₁₆	—	86	2	no	—
350	C₁₆	—	86	2	no	—
351	C₂³	—	4	1	no	—
352	C₂³	—	172	2	no	—
353	C₂³	C₂×#10621882	1	1	yes	characteristic
354	Q₈	—	2	2	no	—
355	Q₈	—	4	1	no	—
356	Q₈	—	344	2	no	—
357	D₄	—	2	2	no	—
358	D₄	—	4	4	no	—
359	D₄	—	4	1	no	—
360	D₄	—	344	2	no	—
361	D₄	—	344	4	no	—
362	D₄	—	344	2	no	—
363	D₄	—	172	2	no	—
364	D₄	—	172	2	no	—
365	C₂×C₄	—	2	2	no	—
366	C₂×C₄	—	2	1	no	—
367	C₂×C₄	—	2	1	no	—
368	C₂×C₄	—	4	1	no	—
369	C₂×C₄	—	4	4	no	—
370	C₂×C₄	—	4	1	no	—
371	C₂×C₄	—	4	1	no	—
372	C₂×C₄	—	4	1	no	—
373	C₂×C₄	—	8	2	no	—
374	C₂×C₄	—	8	2	no	—
375	C₂×C₄	—	344	4	no	—
376	C₂×C₄	—	172	2	no	—
377	C₂×C₄	C₂×#10621882	1	1	yes	characteristic
378	C₂×C₄	C₂×#10621882	1	1	yes	characteristic
379	C₂×C₄	C₂×#10621882	1	1	yes	characteristic
380	C₂×C₄	C₂×#10621882	1	1	yes	characteristic
381	C₂×C₄	C₂×#10621882	1	1	yes	characteristic
382	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
383	C₈	—	2	1	no	—
384	C₈	—	2	1	no	—
385	C₈	—	2	1	no	—
386	C₈	C₂×#10621898	1	1	yes	characteristic
387	C₈	C₂×#10621898	1	1	yes	characteristic
388	C₂²	—	2	1	no	—
389	C₂²	—	2	1	no	—
390	C₂²	—	2	1	no	—
391	C₂²	—	4	2	no	—
392	C₂²	—	8	1	no	—
393	C₂²	—	8	1	no	—
394	C₂²	—	344	2	no	—
395	C₂²	—	344	2	no	—
396	C₂²	—	344	2	no	—
397	C₂²	C₂²×#10621882	1	1	yes	characteristic
398	C₄	—	2	1	no	—
399	C₄	—	2	1	no	—
400	C₄	—	2	1	no	—
401	C₄	—	2	1	no	—
402	C₄	—	4	2	no	—
403	C₄	—	8	1	no	—
404	C₄	—	8	1	no	—
405	C₄	—	344	2	no	—
406	C₄	#14583334	1	2	yes	—
407	C₄	#14583410	1	1	yes	characteristic
408	C₄	#14583697	1	1	yes	characteristic
409	C₂	—	4	1	no	—
410	C₂	—	8	2	no	—
411	C₂	—	688	2	no	—
412	C₂	#19144595	1	1	yes	characteristic
413	C₂	C₂×#14583334	1	1	yes	characteristic
414	C₂	#19147729	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×#10621882
commutator, cosocle	C₂×C₈×C₄₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₄×#135×C₄₃	C₂
socle	C₂²×C₄₃	C₂²×D₈
hypercenter	C₄×#135	D₄₃
hypocenter	C₄₃	#33675
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×C₄×C₈ ◁ C₄×#135

Complements

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

N	H ≅ G/N	type
1. #19145174	C₂	semidirect
2. #19136786	C₂	semidirect
3. #19136737	C₂	semidirect
4. #19136732	C₂	semidirect
5. #19136635	C₂	semidirect
6. #19136630	C₂	semidirect
7. #19136518	C₂	semidirect
8. #19136469	C₂	semidirect
9. #19136457	C₂	semidirect
10. #19136398	C₂	semidirect
11. C₄×#135×C₄₃	C₂	semidirect
109. Q₁₆×C₄₃	#41	semidirect
112. D₈×C₄₃	#41	semidirect
203. C₄×#135	D₄₃	semidirect
250. C₄₃	#33675	semidirect
317. Q₁₆	#10621898	semidirect
323. D₈	#10621898	semidirect

Maximal subgroups

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

subgroup	index
#19145174	2
#19136786	2
#19136737	2
#19136732	2
#19136635	2
#19136630	2
#19136518	2
#19136469	2
#19136457	2
#19136398	2
C₄×#135×C₄₃	2
#33675	43