Subgroups — #25084451

Order 11008.

784 conjugacy classes of subgroups.

The subgroup lattice has 430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145741	C₂	1	1	yes	maximal, characteristic, complemented
2	#19145522	C₂	1	1	yes	maximal, characteristic
3	#19145154	C₂	1	1	yes	maximal, characteristic
4	#19145141	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14583297	C₂	1	1	yes	maximal, characteristic, complemented
6	#19145054	C₂	1	1	yes	maximal, characteristic
7	#19134228	C₂	1	2	yes	maximal, complemented
8	#19134217	C₂	1	2	yes	maximal, complemented
9	#19134192	C₂	1	2	yes	maximal, complemented
10	#19134182	C₂	1	2	yes	maximal, complemented
11	C₈×M₁₆×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#13063358	—	2	2	no	—
13	#14583456	C₂²	1	1	yes	characteristic
14	#14583449	C₂²	1	1	yes	characteristic
15	C₂×#13063325	C₂²	1	1	yes	characteristic
16	C₂×#13063325	C₂²	1	1	yes	characteristic
17	#14583308	—	2	2	no	—
18	#14583304	C₂²	1	2	yes	—
19	#14583297	—	2	2	no	—
20	#14583297	C₂²	1	2	yes	—
21	#14583297	C₂²	1	2	yes	—
22	#14583297	C₂²	1	2	yes	—
23	#14583297	C₂²	1	2	yes	—
24	#14583297	C₂²	1	1	yes	characteristic
25	#14583293	—	2	2	no	—
26	#14583279	C₂²	1	2	yes	—
27	#14583272	C₂²	1	2	yes	—
28	#14583272	C₂²	1	2	yes	—
29	#14583272	C₂²	1	1	yes	characteristic
30	#14583250	C₂²	1	2	yes	—
31	#14583250	C₂²	1	1	yes	characteristic
32	#14583250	C₂²	1	2	yes	—
33	#14583246	C₂²	1	1	yes	characteristic
34	#14583230	—	2	2	no	—
35	#14583185	—	2	2	no	—
36	#14583128	—	2	2	no	—
37	#14583105	—	2	2	no	—
38	#14583040	—	2	2	no	—
39	C₄×#10621873	—	2	2	no	—
40	#14582941	—	2	2	no	—
41	C₂×#13063257	—	2	2	no	—
42	C₄₃×#431	C₂²	1	1	yes	characteristic
43	C₄×M₁₆×C₄₃	C₂²	1	1	yes	characteristic
44	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
45	C₄₃×#322	C₂²	1	2	yes	—
46	C₈²×C₄₃	C₂²	1	2	yes	—
47	C₂×#10621898	—	2	1	no	—
48	C₂²×Dic₈₆	—	2	1	no	—
49	C₂²×Dic₈₆	—	2	1	no	—
50	#13063358	—	4	8	no	—
51	C₂×Dic₁₇₂	—	2	4	no	—
52	C₂×#10621873	—	2	2	no	—
53	C₂×#10621873	—	2	4	no	—
54	C₂×#10621873	—	2	4	no	—
55	#13063325	—	2	1	no	—
56	#13063325	—	2	1	no	—
57	#13063325	—	2	1	no	—
58	#13063325	—	2	1	no	—
59	#13063325	—	2	1	no	—
60	#13063325	—	2	1	no	—
61	#13063325	C₂³	1	1	yes	characteristic
62	#13063325	C₂³	1	2	yes	—
63	#13063325	C₂³	1	2	yes	—
64	#13063325	C₂³	1	1	yes	characteristic
65	#13063325	C₂³	1	1	yes	characteristic
66	#13063322	C₂³	1	1	yes	characteristic
67	#13063317	—	2	1	no	—
68	#13063313	—	2	1	no	—
69	#13063304	—	2	1	no	—
70	#13063304	—	2	1	no	—
71	#13063299	—	2	1	no	—
72	#13063299	—	2	1	no	—
73	C₄×Dic₈₆	—	2	1	no	—
74	C₄×Dic₈₆	—	2	1	no	—
75	C₄×D₁₇₂	—	2	1	no	—
76	C₄×D₁₇₂	—	2	1	no	—
77	#13063284	—	2	1	no	—
78	C₂×C₄⋊Dic₄₃	—	2	1	no	—
79	C₂×C₄⋊Dic₄₃	—	2	1	no	—
80	C₂×C₄⋊Dic₄₃	—	2	1	no	—
81	C₂×C₄⋊Dic₄₃	—	2	1	no	—
82	#13063259	—	2	4	no	—
83	#13063257	—	2	4	no	—
84	#13063257	—	2	4	no	—
85	#13063257	—	2	4	no	—
86	#13063257	—	2	2	no	—
87	#13063257	—	2	4	no	—
88	#13063250	—	2	4	no	—
89	#13063250	—	2	2	no	—
90	#13063250	—	2	4	no	—
91	#13063247	—	2	2	no	—
92	C₂×M₁₆×C₄₃	D₄	1	2	yes	—
93	C₂²×C₈×C₄₃	D₄	1	2	yes	—
94	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
95	C₄⋊C₈×C₄₃	D₄	1	2	yes	—
96	C₂²⋊C₈×C₄₃	D₄	1	2	yes	—
97	#97×C₄₃	D₄	1	2	yes	—
98	C₄×C₈×C₄₃	D₄	1	2	yes	—
99	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
100	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
101	C₄×C₈×C₄₃	C₂³	1	2	yes	—
102	C₄×C₈×C₄₃	C₂³	1	2	yes	—
103	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
104	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
105	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
106	C₂×C₂²⋊D₄₃	—	4	1	no	—
107	C₂²×Dic₄₃	—	4	1	no	—
108	C₂²×Dic₄₃	—	4	1	no	—
109	#10621898	—	4	4	no	—
110	C₂×D₁₇₂	—	2	1	no	—
111	C₂×D₁₇₂	—	2	1	no	—
112	C₂×D₁₇₂	—	2	1	no	—
113	C₂×C₄×D₄₃	—	4	1	no	—
114	C₂×Dic₈₆	—	2	1	no	—
115	C₂×Dic₈₆	—	2	1	no	—
116	C₂×Dic₈₆	—	2	2	no	—
117	C₂×Dic₈₆	—	2	1	no	—
118	C₂×Dic₈₆	—	2	2	no	—
119	C₂×Dic₈₆	—	4	4	no	—
120	C₂×Dic₈₆	—	4	1	no	—
121	C₂×Dic₈₆	—	4	1	no	—
122	C₂×Dic₈₆	—	8	2	no	—
123	M₁₆×C₄₃	SD₁₆	1	8	yes	complemented
124	C₂×C₈×C₄₃	—	2	4	no	—
125	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
126	C₂×C₈×C₄₃	C₂×D₄	1	4	yes	—
127	C₂×C₈×C₄₃	C₂×D₄	1	4	yes	—
128	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
129	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
130	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
131	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
132	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
133	C₂²⋊Dic₄₃	—	4	1	no	—
134	(C₂×D₄₃)⋊C₄	—	4	1	no	—
135	(C₂×D₄₃)⋊C₄	—	4	1	no	—
136	C₄⋊Dic₄₃	—	2	1	no	—
137	C₄⋊Dic₄₃	—	2	1	no	—
138	C₄⋊Dic₄₃	—	2	2	no	—
139	C₄⋊Dic₄₃	—	2	1	no	—
140	C₄⋊Dic₄₃	—	2	2	no	—
141	C₄⋊Dic₄₃	—	2	2	no	—
142	C₄⋊Dic₄₃	—	2	1	no	—
143	C₄⋊Dic₄₃	—	2	1	no	—
144	C₄⋊Dic₄₃	—	2	2	no	—
145	C₄⋊Dic₄₃	—	2	1	no	—
146	C₄⋊Dic₄₃	—	4	1	no	—
147	C₄⋊Dic₄₃	—	4	1	no	—
148	C₄⋊Dic₄₃	—	4	1	no	—
149	C₄⋊Dic₄₃	—	4	1	no	—
150	Dic₄₃⋊C₄	—	4	1	no	—
151	Dic₄₃⋊C₄	—	4	1	no	—
152	C₄×Dic₄₃	—	4	1	no	—
153	Dic₁₇₂	—	4	8	no	—
154	#10621873	—	4	8	no	—
155	#10621873	—	4	4	no	—
156	#10621873	—	8	4	no	—
157	C₂³×C₄₃	#127	1	1	yes	characteristic
158	C₂²×D₄₃	—	4	1	no	—
159	C₂×C₄×C₄₃	—	2	2	no	—
160	C₂×C₄×C₄₃	—	2	2	no	—
161	C₂×C₄×C₄₃	#127	1	1	yes	characteristic
162	C₂×C₄×C₄₃	#127	1	1	yes	characteristic
163	C₂×C₄×C₄₃	#127	1	1	yes	characteristic
164	C₂×C₄×C₄₃	C₂×SD₁₆	1	4	yes	—
165	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
166	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
167	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
168	C₂²⋊D₄₃	—	8	2	no	—
169	C₂×Dic₄₃	—	4	1	no	—
170	C₂×Dic₄₃	—	4	1	no	—
171	C₂×Dic₄₃	—	4	2	no	—
172	C₂×Dic₄₃	—	4	2	no	—
173	C₂×Dic₄₃	—	4	1	no	—
174	C₂×Dic₄₃	—	8	2	no	—
175	C₂×Dic₄₃	—	8	2	no	—
176	D₁₇₂	—	4	2	no	—
177	D₁₇₂	—	4	2	no	—
178	D₁₇₂	—	4	2	no	—
179	C₄×D₄₃	—	8	2	no	—
180	Dic₈₆	—	4	4	no	—
181	Dic₈₆	—	4	2	no	—
182	Dic₈₆	—	4	2	no	—
183	Dic₈₆	—	4	4	no	—
184	Dic₈₆	—	4	2	no	—
185	Dic₈₆	—	8	2	no	—
186	Dic₈₆	—	8	2	no	—
187	C₈×C₄₃	—	2	2	no	—
188	C₈×C₄₃	—	2	4	no	—
189	C₈×C₄₃	C₂×SD₁₆	1	8	yes	—
190	C₈×C₄₃	#137	1	4	yes	complemented
191	#19622	—	43	1	no	maximal, Sylow
192	C₂²×C₄₃	—	2	1	no	—
193	C₂²×C₄₃	—	2	1	no	—
194	C₂²×C₄₃	#492	1	2	yes	—
195	C₂²×C₄₃	C₂×#127	1	1	yes	characteristic
196	C₂×D₄₃	—	8	1	no	—
197	C₂×D₄₃	—	8	1	no	—
198	C₂×D₄₃	—	8	1	no	—
199	C₄×C₄₃	—	2	1	no	—
200	C₄×C₄₃	—	2	1	no	—
201	C₄×C₄₃	#492	1	2	yes	—
202	C₄×C₄₃	C₂²×SD₁₆	1	2	yes	—
203	C₄×C₄₃	C₂×#137	1	2	yes	—
204	C₄×C₄₃	#577	1	2	yes	—
205	Dic₄₃	—	8	2	no	—
206	Dic₄₃	—	8	1	no	—
207	Dic₄₃	—	8	1	no	—
208	Dic₄₃	—	8	2	no	—
209	Dic₄₃	—	8	1	no	—
210	#3229	—	43	1	no	—
211	#3206	—	43	1	no	—
212	#3167	—	43	1	no	—
213	#3165	—	43	1	no	—
214	C₂×#498	—	43	1	no	—
215	#3152	—	43	1	no	—
216	#1716	—	43	2	no	—
217	#1714	—	43	2	no	—
218	#1707	—	43	2	no	—
219	#1705	—	43	2	no	—
220	C₈×M₁₆	D₄₃	1	1	yes	characteristic, complemented
221	C₂×C₄₃	—	2	2	no	—
222	C₂×C₄₃	C₂×#492	1	1	yes	characteristic
223	C₂×C₄₃	#3152	1	1	yes	characteristic
224	C₂×C₄₃	#3154	1	1	yes	characteristic
225	D₄₃	—	16	1	no	—
226	C₂×#137	—	86	2	no	—
227	#533	—	43	1	no	—
228	#532	—	43	1	no	—
229	C₂×C₄⋊Q₈	—	43	1	no	—
230	C₂×C₄⋊Q₈	—	43	1	no	—
231	#501	—	86	2	no	—
232	#500	—	43	2	no	—
233	#498	—	43	2	no	—
234	#498	—	43	2	no	—
235	#498	—	43	2	no	—
236	#498	—	43	1	no	—
237	#498	—	43	2	no	—
238	#498	—	86	2	no	—
239	#497	—	86	2	no	—
240	#494	—	43	2	no	—
241	#492	—	43	2	no	—
242	#492	—	43	1	no	—
243	#492	—	43	2	no	—
244	#487	—	43	1	no	—
245	#487	—	43	2	no	—
246	#487	—	43	2	no	—
247	#486	—	43	1	no	—
248	#483	—	86	2	no	—
249	#475	—	86	2	no	—
250	#465	—	86	2	no	—
251	#461	—	86	2	no	—
252	#448	—	86	2	no	—
253	C₄×SD₁₆	—	86	2	no	—
254	#431	C₂×D₄₃	1	1	yes	characteristic
255	#428	—	86	2	no	—
256	C₂×#106	—	86	2	no	—
257	C₄×M₁₆	C₂×D₄₃	1	1	yes	characteristic
258	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
259	#322	C₂×D₄₃	1	2	yes	—
260	C₈²	C₂×D₄₃	1	2	yes	—
261	C₄₃	#19622	1	1	yes	characteristic, complemented, Sylow
262	C₂×#41	—	86	1	no	—
263	C₂²×Q₈	—	86	1	no	—
264	C₂²×Q₈	—	86	1	no	—
265	#137	—	172	8	no	—
266	C₂×Q₁₆	—	86	4	no	—
267	C₂×SD₁₆	—	86	4	no	—
268	C₂×SD₁₆	—	86	4	no	—
269	C₂×SD₁₆	—	86	2	no	—
270	C₂×M₁₆	D₁₇₂	1	2	yes	—
271	C₂²×C₈	D₁₇₂	1	2	yes	—
272	C₄⋊Q₈	—	43	2	no	—
273	C₄⋊Q₈	—	43	2	no	—
274	C₄⋊Q₈	—	43	1	no	—
275	C₄⋊Q₈	—	43	1	no	—
276	C₄⋊Q₈	—	43	1	no	—
277	C₄⋊Q₈	—	86	1	no	—
278	C₄⋊Q₈	—	86	1	no	—
279	C₄⋊Q₈	—	86	1	no	—
280	C₄⋊Q₈	—	86	1	no	—
281	C₄⋊Q₈	—	86	1	no	—
282	C₄⋊Q₈	—	86	1	no	—
283	#127	—	43	1	no	—
284	#125	—	86	1	no	—
285	#124	—	86	1	no	—
286	C₂²⋊Q₈	—	86	1	no	—
287	C₂²⋊Q₈	—	86	1	no	—
288	#121	—	86	1	no	—
289	#121	—	86	1	no	—
290	C₄×Q₈	—	86	1	no	—
291	C₄×Q₈	—	86	1	no	—
292	C₄×D₄	—	86	1	no	—
293	C₄×D₄	—	86	1	no	—
294	#117	—	86	1	no	—
295	C₂×C₄⋊C₄	—	86	1	no	—
296	C₂×C₄⋊C₄	—	86	1	no	—
297	C₂×C₄⋊C₄	—	86	1	no	—
298	C₂×C₄⋊C₄	—	86	1	no	—
299	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
300	#107	—	86	4	no	—
301	#106	—	86	4	no	—
302	#106	—	86	4	no	—
303	#106	—	86	4	no	—
304	#106	—	86	2	no	—
305	#106	—	86	4	no	—
306	C₄⋊C₈	D₁₇₂	1	2	yes	—
307	#103	—	86	2	no	—
308	#103	—	86	4	no	—
309	#103	—	86	4	no	—
310	#102	—	86	2	no	—
311	C₂²⋊C₈	D₁₇₂	1	2	yes	—
312	#97	D₁₇₂	1	2	yes	—
313	C₄×C₈	D₁₇₂	1	2	yes	—
314	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
315	C₄×C₈	C₂²×D₄₃	1	2	yes	—
316	C₄×C₈	C₂²×D₄₃	1	2	yes	—
317	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
318	#41	—	172	4	no	—
319	C₂×Q₈	—	86	1	no	—
320	C₂×Q₈	—	86	1	no	—
321	C₂×Q₈	—	86	2	no	—
322	C₂×Q₈	—	86	1	no	—
323	C₂×Q₈	—	86	2	no	—
324	C₂×Q₈	—	344	2	no	—
325	C₂×Q₈	—	172	4	no	—
326	C₂×Q₈	—	172	1	no	—
327	C₂×Q₈	—	172	1	no	—
328	C₂×D₄	—	86	1	no	—
329	C₂×D₄	—	86	1	no	—
330	C₂×D₄	—	86	1	no	—
331	C₂×D₄	—	172	1	no	—
332	C₂²×C₄	—	172	1	no	—
333	C₂²×C₄	—	172	1	no	—
334	C₂²×C₄	—	172	1	no	—
335	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
336	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
337	C₂²×C₄	C₂×D₁₇₂	1	1	yes	characteristic
338	Q₁₆	—	172	8	no	—
339	SD₁₆	—	344	4	no	—
340	SD₁₆	—	172	8	no	—
341	SD₁₆	—	172	4	no	—
342	M₁₆	#10621873	1	8	yes	complemented
343	C₂×C₈	—	2	4	no	—
344	C₂×C₈	C₂×D₁₇₂	1	2	yes	—
345	C₂×C₈	C₂×D₁₇₂	1	4	yes	—
346	C₂×C₈	C₂×D₁₇₂	1	4	yes	—
347	C₂×C₈	C₂×D₁₇₂	1	2	yes	—
348	C₄⋊C₄	—	86	1	no	—
349	C₄⋊C₄	—	86	1	no	—
350	C₄⋊C₄	—	86	2	no	—
351	C₄⋊C₄	—	86	1	no	—
352	C₄⋊C₄	—	86	2	no	—
353	C₄⋊C₄	—	86	2	no	—
354	C₄⋊C₄	—	86	1	no	—
355	C₄⋊C₄	—	86	1	no	—
356	C₄⋊C₄	—	86	2	no	—
357	C₄⋊C₄	—	86	1	no	—
358	C₄⋊C₄	—	172	1	no	—
359	C₄⋊C₄	—	172	1	no	—
360	C₄⋊C₄	—	172	1	no	—
361	C₄⋊C₄	—	172	1	no	—
362	C₄⋊C₄	—	172	1	no	—
363	C₄⋊C₄	—	172	1	no	—
364	C₂²⋊C₄	—	172	1	no	—
365	C₂²⋊C₄	—	172	1	no	—
366	C₂²⋊C₄	—	172	1	no	—
367	C₄²	—	172	1	no	—
368	C₄²	C₂×D₁₇₂	1	1	yes	characteristic
369	C₄²	C₂×D₁₇₂	1	1	yes	characteristic
370	C₄²	C₂×D₁₇₂	1	1	yes	characteristic
371	C₄²	C₂³×D₄₃	1	1	yes	characteristic
372	C₂³	—	172	1	no	—
373	C₂³	#13063322	1	1	yes	characteristic
374	Q₈	—	344	2	no	—
375	Q₈	—	344	2	no	—
376	Q₈	—	172	4	no	—
377	Q₈	—	172	2	no	—
378	Q₈	—	172	2	no	—
379	Q₈	—	172	4	no	—
380	Q₈	—	172	2	no	—
381	D₄	—	344	2	no	—
382	D₄	—	172	2	no	—
383	D₄	—	172	2	no	—
384	D₄	—	172	2	no	—
385	C₂×C₄	—	2	2	no	—
386	C₂×C₄	—	2	2	no	—
387	C₂×C₄	—	344	2	no	—
388	C₂×C₄	—	344	2	no	—
389	C₂×C₄	—	344	2	no	—
390	C₂×C₄	—	172	1	no	—
391	C₂×C₄	—	172	1	no	—
392	C₂×C₄	—	172	1	no	—
393	C₂×C₄	—	172	2	no	—
394	C₂×C₄	—	172	2	no	—
395	C₂×C₄	#13063322	1	1	yes	characteristic
396	C₂×C₄	#13063322	1	1	yes	characteristic
397	C₂×C₄	#13063322	1	1	yes	characteristic
398	C₂×C₄	C₂×#10621873	1	4	yes	—
399	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
400	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
401	C₂×C₄	C₂²×D₁₇₂	1	1	yes	characteristic
402	C₈	—	2	2	no	—
403	C₈	—	2	4	no	—
404	C₈	C₂×#10621873	1	8	yes	—
405	C₈	#13063358	1	4	yes	complemented
406	C₂²	—	2	1	no	—
407	C₂²	—	2	1	no	—
408	C₂²	—	344	1	no	—
409	C₂²	—	344	1	no	—
410	C₂²	—	344	1	no	—
411	C₂²	#14583272	1	2	yes	—
412	C₂²	C₂×#13063322	1	1	yes	characteristic
413	C₄	—	2	1	no	—
414	C₄	—	2	1	no	—
415	C₄	—	344	1	no	—
416	C₄	—	344	2	no	—
417	C₄	—	344	1	no	—
418	C₄	—	344	2	no	—
419	C₄	—	344	1	no	—
420	C₄	#14583272	1	2	yes	—
421	C₄	C₂²×#10621873	1	2	yes	—
422	C₄	C₂×#13063358	1	2	yes	—
423	C₄	#14583711	1	2	yes	—
424	C₂	—	2	2	no	—
425	C₂	—	688	1	no	—
426	C₂	C₂×#14583272	1	1	yes	characteristic
427	C₂	#19145054	1	1	yes	characteristic
428	C₂	#19145071	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13063322
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₈×M₁₆×C₄₃	C₂
socle	C₂²×C₄₃	C₂×#127
prime radical	#14583449	C₂²
hypercenter	C₈×M₁₆	D₄₃
hypocenter	C₄₃	#19622
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₈×M₁₆

Complements

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

N	H ≅ G/N	type
1. #19145741	C₂	semidirect
4. #19145141	C₂	semidirect
5. C₂×#14583297	C₂	semidirect
7. #19134228	C₂	semidirect
8. #19134217	C₂	semidirect
9. #19134192	C₂	semidirect
10. #19134182	C₂	semidirect
11. C₈×M₁₆×C₄₃	C₂	semidirect
123. M₁₆×C₄₃	SD₁₆	semidirect
190. C₈×C₄₃	#137	semidirect
220. C₈×M₁₆	D₄₃	semidirect
261. C₄₃	#19622	semidirect
342. M₁₆	#10621873	semidirect
405. C₈	#13063358	semidirect

Maximal subgroups

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

subgroup	index
#19145741	2
#19145522	2
#19145154	2
#19145141	2
C₂×#14583297	2
#19145054	2
#19134228	2
#19134217	2
#19134192	2
#19134182	2
C₈×M₁₆×C₄₃	2
#19622	43