Subgroups — #25251247

Order 11008.

598 conjugacy classes of subgroups.

The subgroup lattice has 410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145106	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×D₈×D₄₃	C₂	1	1	yes	maximal, characteristic
3	#19136755	C₂	1	2	yes	maximal, complemented
4	#19136754	C₂	1	2	yes	maximal, complemented
5	#19136743	C₂	1	1	yes	maximal, characteristic, complemented
6	#19136742	C₂	1	1	yes	maximal, characteristic, complemented
7	#19136729	C₂	1	1	yes	maximal, characteristic, complemented
8	#19136380	C₂	1	2	yes	maximal, complemented
9	#19136349	C₂	1	1	yes	maximal, characteristic, complemented
10	#19136309	C₂	1	2	yes	maximal
11	C₄₃×#2224	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×D₈×D₄₃	C₂²	1	1	yes	characteristic
13	#14583454	—	2	1	no	—
14	C₄×D₄×D₄₃	—	2	1	no	—
15	C₂×#13063264	C₂²	1	2	yes	—
16	#14583304	C₂²	1	1	yes	characteristic, complemented
17	#14583300	—	2	1	no	—
18	#14583300	C₂²	1	2	yes	complemented
19	#14583295	—	2	1	no	—
20	C₄×D₃₄₄	C₂²	1	1	yes	characteristic
21	D₈×Dic₄₃	C₂²	1	1	yes	characteristic
22	#14582981	C₂²	1	1	yes	characteristic
23	C₄×#10621882	—	2	1	no	—
24	#14582979	—	2	1	no	—
25	#14582936	—	2	1	no	—
26	#14582936	C₂²	1	2	yes	—
27	#107×D₄₃	C₂²	1	1	yes	characteristic
28	#102×D₄₃	—	2	1	no	—
29	C₄×C₈×D₄₃	C₂²	1	1	yes	characteristic
30	#14582727	C₂²	1	2	yes	complemented
31	#14582726	C₂²	1	2	yes	complemented
32	#14582724	C₂²	1	2	yes	complemented
33	C₄⋊(C₄₃⋊C₁₆)	C₂²	1	1	yes	characteristic, complemented
34	Dic₄₃⋊C₁₆	C₂²	1	2	yes	complemented
35	#14582701	C₂²	1	2	yes	—
36	#14582700	C₂²	1	2	yes	—
37	#14582699	C₂²	1	2	yes	—
38	C₄₃×#500	C₂²	1	1	yes	characteristic, complemented
39	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic
40	C₄₃×#366	C₂²	1	2	yes	complemented
41	C₄₃×C₄⋊C₁₆	C₂²	1	1	yes	characteristic, complemented
42	C₄₃×#357	C₂²	1	2	yes	—
43	C₂×D₄×D₄₃	—	2	1	no	—
44	C₂²×C₄×D₄₃	—	4	1	no	—
45	C₂×D₃₄₄	C₂³	1	1	yes	characteristic
46	C₂×#10621882	—	2	1	no	—
47	D₈×D₄₃	—	2	2	no	—
48	D₈×D₄₃	Q₈	1	4	yes	complemented
49	C₂×C₈×D₄₃	D₄	1	1	yes	characteristic
50	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
51	#13063325	—	2	1	no	—
52	#13063316	—	2	2	no	—
53	#13063305	—	4	1	no	—
54	#13063301	—	4	1	no	—
55	Q₈×Dic₄₃	—	4	1	no	—
56	#13063290	—	4	1	no	—
57	C₄×D₁₇₂	—	2	1	no	—
58	D₄×Dic₄₃	—	2	1	no	—
59	#13063287	—	2	1	no	—
60	C₄×C₂²⋊D₄₃	—	4	1	no	—
61	(C₂²⋊D₄₃)⋊C₄	—	4	1	no	—
62	#13063283	—	2	2	no	—
63	C₄⋊C₄×D₄₃	—	2	1	no	—
64	C₂²⋊C₄×D₄₃	—	4	1	no	—
65	C₄²×D₄₃	D₄	1	1	yes	characteristic
66	#13063264	—	2	4	no	—
67	C₂×C₄₃⋊C₁₆	C₂³	1	2	yes	—
68	#13063259	—	2	1	no	—
69	#13063259	C₂³	1	2	yes	—
70	#13063259	C₂³	1	1	yes	characteristic
71	#13063258	—	2	1	no	—
72	#13063256	—	2	2	no	—
73	#13063256	—	2	2	no	—
74	#13063247	—	2	1	no	—
75	#13063246	—	2	1	no	—
76	#13063245	—	2	1	no	—
77	C₄×C₄₃⋊C₈	D₄	1	1	yes	characteristic
78	C₈×Dic₄₃	D₄	1	1	yes	characteristic
79	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
80	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
81	C₄⋊Q₈×C₄₃	—	2	1	no	—
82	C₄×D₄×C₄₃	—	2	1	no	—
83	C₂×C₁₆×C₄₃	C₂³	1	2	yes	—
84	#107×C₄₃	—	2	1	no	—
85	#107×C₄₃	C₂³	1	2	yes	—
86	#107×C₄₃	C₂³	1	1	yes	characteristic
87	#102×C₄₃	—	2	1	no	—
88	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
89	C₂³×D₄₃	—	4	1	no	—
90	C₂×Q₈×C₄₃	—	4	1	no	—
91	C₂×D₄×C₄₃	—	2	1	no	—
92	C₂²×C₄×C₄₃	—	4	1	no	—
93	C₂×C₂²⋊D₄₃	—	4	1	no	—
94	C₂²×Dic₄₃	—	4	1	no	—
95	D₄×D₄₃	—	2	4	no	—
96	D₄×D₄₃	—	4	2	no	—
97	C₂×D₁₇₂	—	2	1	no	—
98	C₂×C₄×D₄₃	—	4	1	no	—
99	C₂×C₄×D₄₃	—	4	1	no	—
100	C₂×C₄×D₄₃	—	4	1	no	—
101	C₂×C₄×D₄₃	—	8	4	no	—
102	C₂×C₄×D₄₃	D₈	1	1	yes	characteristic
103	C₂×C₄×D₄₃	D₈	1	1	yes	characteristic
104	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
105	C₂×Dic₈₆	—	4	1	no	—
106	D₈×C₄₃	—	2	1	no	—
107	D₈×C₄₃	C₂×Q₈	1	2	yes	—
108	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
109	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
110	C₄⋊C₄×C₄₃	—	2	1	no	—
111	C₄⋊C₄×C₄₃	—	2	2	no	—
112	C₄⋊C₄×C₄₃	—	4	1	no	—
113	C₂²⋊C₄×C₄₃	—	4	1	no	—
114	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
115	C₂²⋊Dic₄₃	—	4	1	no	—
116	#10621882	—	2	4	no	—
117	(C₂×D₄₃)⋊C₄	—	4	1	no	—
118	(C₂×D₄₃)⋊C₄	—	4	1	no	—
119	(C₂×D₄₃)⋊C₄	—	4	2	no	—
120	C₄⋊Dic₄₃	—	2	1	no	—
121	C₄⋊Dic₄₃	—	2	2	no	—
122	C₄⋊Dic₄₃	—	4	1	no	—
123	C₄⋊Dic₄₃	—	4	2	no	—
124	Dic₄₃⋊C₄	—	4	1	no	—
125	Dic₄₃⋊C₄	—	4	2	no	—
126	C₄×Dic₄₃	—	4	2	no	—
127	C₄×Dic₄₃	D₈	1	1	yes	characteristic
128	C₄×Dic₄₃	D₈	1	1	yes	characteristic
129	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
130	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
131	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
132	D₃₄₄	—	2	1	no	—
133	D₃₄₄	C₂×Q₈	1	2	yes	—
134	C₈×D₄₃	—	2	2	no	—
135	C₈×D₄₃	C₂×Q₈	1	2	yes	—
136	C₈×D₄₃	#41	1	2	yes	—
137	C₁₆×C₄₃	—	2	2	no	—
138	C₄₃⋊C₁₆	—	2	2	no	—
139	C₂³×C₄₃	—	4	1	no	—
140	C₂²×D₄₃	—	4	1	no	—
141	C₂²×D₄₃	—	4	4	no	—
142	C₂²×D₄₃	—	8	2	no	—
143	C₂²×D₄₃	—	8	2	no	—
144	C₂²×D₄₃	C₂×D₈	1	1	yes	characteristic
145	Q₈×C₄₃	—	8	2	no	—
146	D₄×C₄₃	—	2	2	no	—
147	D₄×C₄₃	—	4	1	no	—
148	C₂×C₄×C₄₃	—	4	2	no	—
149	C₂×C₄×C₄₃	—	4	1	no	—
150	C₂×C₄×C₄₃	—	8	2	no	—
151	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
152	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
153	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
154	C₂²⋊D₄₃	—	4	4	no	—
155	C₂×Dic₄₃	—	4	2	no	—
156	C₂×Dic₄₃	—	4	1	no	—
157	C₂×Dic₄₃	—	8	2	no	—
158	C₂×Dic₄₃	C₂×D₈	1	1	yes	characteristic
159	C₂×Dic₄₃	C₂×D₈	1	1	yes	characteristic
160	C₂×Dic₄₃	C₂×D₈	1	1	yes	characteristic
161	D₁₇₂	—	2	2	no	—
162	D₁₇₂	—	4	1	no	—
163	C₄×D₄₃	—	2	2	no	—
164	C₄×D₄₃	—	4	1	no	—
165	C₄×D₄₃	—	8	2	no	—
166	C₄×D₄₃	—	8	2	no	—
167	C₄×D₄₃	—	8	2	no	—
168	C₄×D₄₃	C₂²⋊Q₈	1	2	yes	—
169	C₄×D₄₃	#137	1	2	yes	—
170	Dic₈₆	—	8	2	no	—
171	C₈×C₄₃	—	2	1	no	—
172	C₈×C₄₃	C₂²×Q₈	1	1	yes	characteristic
173	C₈×C₄₃	C₂×#41	1	1	yes	characteristic
174	C₄₃⋊C₈	—	2	1	no	—
175	C₄₃⋊C₈	C₂²⋊Q₈	1	2	yes	—
176	#33627	—	43	1	no	maximal, Sylow
177	C₂²×C₄₃	—	4	2	no	—
178	C₂²×C₄₃	—	8	1	no	—
179	C₂²×C₄₃	—	8	1	no	—
180	C₂²×C₄₃	C₂²×D₈	1	1	yes	characteristic
181	C₂×D₄₃	—	2	1	no	—
182	C₂×D₄₃	—	2	1	no	—
183	C₂×D₄₃	—	4	2	no	—
184	C₂×D₄₃	—	8	8	no	—
185	C₂×D₄₃	—	8	1	no	—
186	C₂×D₄₃	—	8	1	no	—
187	C₂×D₄₃	#474	1	2	yes	—
188	C₄×C₄₃	—	2	1	no	—
189	C₄×C₄₃	—	8	1	no	—
190	C₄×C₄₃	—	8	2	no	—
191	C₄×C₄₃	#509	1	2	yes	—
192	C₄×C₄₃	C₂×C₂²⋊Q₈	1	1	yes	characteristic
193	C₄×C₄₃	C₂×#137	1	1	yes	characteristic
194	Dic₄₃	—	2	1	no	—
195	Dic₄₃	—	2	1	no	—
196	Dic₄₃	—	8	1	no	—
197	Dic₄₃	—	8	2	no	—
198	Dic₄₃	#474	1	2	yes	—
199	#3160	—	43	1	no	—
200	C₂×C₄×D₈	—	43	1	no	—
201	#2228	—	43	2	no	—
202	#2228	—	43	2	no	—
203	#2226	—	43	1	no	—
204	#2226	—	43	1	no	—
205	#2224	—	43	1	no	—
206	#2224	D₄₃	1	1	yes	characteristic, complemented
207	#2159	—	43	2	no	—
208	#2150	—	43	1	no	—
209	#2140	—	43	2	no	—
210	C₂×C₄₃	—	8	2	no	—
211	C₂×C₄₃	C₂×#474	1	1	yes	characteristic
212	C₂×C₄₃	C₂×#509	1	1	yes	characteristic
213	C₂×C₄₃	#3414	1	1	yes	characteristic
214	D₄₃	—	2	2	no	—
215	D₄₃	—	8	2	no	—
216	C₂²×D₈	—	43	1	no	—
217	#533	—	86	1	no	—
218	C₂×C₄×D₄	—	86	1	no	—
219	C₂×M₃₂	—	43	2	no	—
220	#500	—	43	1	no	—
221	#500	C₂×D₄₃	1	1	yes	characteristic, complemented
222	#499	—	43	2	no	—
223	#499	—	86	1	no	—
224	#498	—	86	1	no	—
225	C₄×D₈	—	43	1	no	—
226	C₄×D₈	—	43	1	no	—
227	C₄×D₈	—	43	1	no	—
228	C₄×D₈	—	86	1	no	—
229	C₄×D₈	—	86	1	no	—
230	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic
231	#427	—	43	2	no	—
232	#427	—	86	1	no	—
233	C₂×#107	—	43	1	no	—
234	C₂×#102	—	86	1	no	—
235	C₂×C₄×C₈	—	43	1	no	—
236	#367	—	43	2	no	—
237	#367	—	43	2	no	—
238	#366	—	43	2	no	—
239	#366	C₂×D₄₃	1	2	yes	complemented
240	C₄⋊C₁₆	—	43	2	no	—
241	C₄⋊C₁₆	—	43	1	no	—
242	C₄⋊C₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
243	#357	—	43	2	no	—
244	#357	—	43	2	no	—
245	#357	—	43	2	no	—
246	#357	C₂×D₄₃	1	2	yes	—
247	C₄₃	#33627	1	1	yes	characteristic, complemented, Sylow
248	C₂²×D₄	—	86	1	no	—
249	C₂³×C₄	—	172	1	no	—
250	C₂×D₈	—	43	4	no	—
251	C₂×D₈	—	43	1	no	—
252	C₂×D₈	—	86	2	no	—
253	C₂×D₈	—	86	1	no	—
254	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
255	C₂²×C₈	—	43	1	no	—
256	C₂²×C₈	—	43	1	no	—
257	C₄⋊Q₈	—	2	1	no	—
258	C₄⋊Q₈	—	86	1	no	—
259	#125	—	86	2	no	—
260	C₂²⋊Q₈	—	172	1	no	—
261	C₂²⋊Q₈	—	172	1	no	—
262	C₄×Q₈	—	172	1	no	—
263	C₄×Q₈	—	172	1	no	—
264	C₄×D₄	—	2	1	no	—
265	C₄×D₄	—	86	1	no	—
266	C₄×D₄	—	86	1	no	—
267	C₄×D₄	—	86	1	no	—
268	C₄×D₄	—	172	1	no	—
269	C₄×D₄	—	172	1	no	—
270	#117	—	86	2	no	—
271	C₂×C₄⋊C₄	—	86	1	no	—
272	C₂×C₂²⋊C₄	—	172	1	no	—
273	C₂×C₄²	—	43	1	no	—
274	M₃₂	—	86	4	no	—
275	C₂×C₁₆	—	43	2	no	—
276	C₂×C₁₆	C₂²×D₄₃	1	2	yes	—
277	#107	—	2	1	no	—
278	#107	—	43	2	no	—
279	#107	—	43	1	no	—
280	#107	—	86	1	no	—
281	#107	—	86	1	no	—
282	#107	C₂²×D₄₃	1	2	yes	—
283	#107	C₂²×D₄₃	1	1	yes	characteristic
284	#106	—	86	2	no	—
285	#106	—	86	2	no	—
286	#102	—	2	1	no	—
287	#102	—	86	1	no	—
288	#102	—	86	1	no	—
289	#102	—	86	1	no	—
290	C₄×C₈	—	43	1	no	—
291	C₄×C₈	—	43	1	no	—
292	C₄×C₈	—	43	1	no	—
293	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
294	C₂⁴	—	172	1	no	—
295	C₂×Q₈	—	4	1	no	—
296	C₂×Q₈	—	172	1	no	—
297	C₂×D₄	—	2	1	no	—
298	C₂×D₄	—	86	4	no	—
299	C₂×D₄	—	86	1	no	—
300	C₂×D₄	—	172	2	no	—
301	C₂×D₄	—	172	1	no	—
302	C₂²×C₄	—	4	1	no	—
303	C₂²×C₄	—	43	1	no	—
304	C₂²×C₄	—	43	1	no	—
305	C₂²×C₄	—	43	1	no	—
306	C₂²×C₄	—	344	4	no	—
307	C₂²×C₄	—	172	1	no	—
308	C₂²×C₄	—	172	1	no	—
309	C₂²×C₄	—	172	1	no	—
310	C₂²×C₄	—	172	1	no	—
311	D₈	—	2	1	no	—
312	D₈	—	43	2	no	—
313	D₈	—	86	4	no	—
314	D₈	—	86	1	no	—
315	D₈	Q₈×D₄₃	1	2	yes	—
316	C₂×C₈	—	43	1	no	—
317	C₂×C₈	—	43	2	no	—
318	C₂×C₈	—	43	2	no	—
319	C₂×C₈	—	43	1	no	—
320	C₂×C₈	—	86	2	no	—
321	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
322	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
323	C₄⋊C₄	—	2	1	no	—
324	C₄⋊C₄	—	2	2	no	—
325	C₄⋊C₄	—	4	1	no	—
326	C₄⋊C₄	—	86	1	no	—
327	C₄⋊C₄	—	86	2	no	—
328	C₄⋊C₄	—	172	1	no	—
329	C₄⋊C₄	—	172	2	no	—
330	C₄⋊C₄	—	172	2	no	—
331	C₄⋊C₄	—	172	1	no	—
332	C₂²⋊C₄	—	4	1	no	—
333	C₂²⋊C₄	—	172	1	no	—
334	C₂²⋊C₄	—	172	2	no	—
335	C₂²⋊C₄	—	172	1	no	—
336	C₂²⋊C₄	—	172	1	no	—
337	C₄²	—	43	1	no	—
338	C₄²	—	43	1	no	—
339	C₄²	—	43	1	no	—
340	C₄²	—	172	2	no	—
341	C₄²	D₄×D₄₃	1	1	yes	characteristic
342	C₁₆	—	2	2	no	—
343	C₁₆	—	86	2	no	—
344	C₂³	—	4	1	no	—
345	C₂³	—	43	1	no	—
346	C₂³	—	344	2	no	—
347	C₂³	—	344	2	no	—
348	C₂³	—	172	4	no	—
349	C₂³	—	172	1	no	—
350	Q₈	—	8	2	no	—
351	Q₈	—	344	2	no	—
352	D₄	—	2	2	no	—
353	D₄	—	4	1	no	—
354	D₄	—	86	2	no	—
355	D₄	—	172	4	no	—
356	D₄	—	172	1	no	—
357	C₂×C₄	—	4	2	no	—
358	C₂×C₄	—	4	1	no	—
359	C₂×C₄	—	8	2	no	—
360	C₂×C₄	—	43	1	no	—
361	C₂×C₄	—	43	2	no	—
362	C₂×C₄	—	43	2	no	—
363	C₂×C₄	—	43	1	no	—
364	C₂×C₄	—	43	1	no	—
365	C₂×C₄	—	86	2	no	—
366	C₂×C₄	—	344	2	no	—
367	C₂×C₄	—	344	2	no	—
368	C₂×C₄	—	344	2	no	—
369	C₂×C₄	—	344	2	no	—
370	C₂×C₄	—	172	1	no	—
371	C₂×C₄	—	172	2	no	—
372	C₂×C₄	—	172	1	no	—
373	C₂×C₄	D₈×D₄₃	1	1	yes	characteristic
374	C₂×C₄	D₈×D₄₃	1	1	yes	characteristic
375	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
376	C₈	—	2	1	no	—
377	C₈	—	43	2	no	—
378	C₈	—	86	1	no	—
379	C₈	C₂×Q₈×D₄₃	1	1	yes	characteristic
380	C₈	#41×D₄₃	1	1	yes	characteristic
381	C₂²	—	4	2	no	—
382	C₂²	—	8	1	no	—
383	C₂²	—	8	1	no	—
384	C₂²	—	43	2	no	—
385	C₂²	—	86	1	no	—
386	C₂²	—	86	1	no	—
387	C₂²	—	344	8	no	—
388	C₂²	—	344	1	no	—
389	C₂²	—	344	1	no	—
390	C₂²	—	172	2	no	—
391	C₂²	C₂×D₈×D₄₃	1	1	yes	characteristic
392	C₄	—	2	1	no	—
393	C₄	—	8	1	no	—
394	C₄	—	8	2	no	—
395	C₄	—	43	2	no	—
396	C₄	—	86	1	no	—
397	C₄	—	86	1	no	—
398	C₄	—	344	1	no	—
399	C₄	—	344	2	no	—
400	C₄	#14583333	1	2	yes	—
401	C₄	C₂²⋊Q₈×D₄₃	1	1	yes	characteristic
402	C₄	#137×D₄₃	1	1	yes	characteristic
403	C₂	—	8	2	no	—
404	C₂	—	86	2	no	—
405	C₂	—	344	2	no	—
406	C₂	#474×D₄₃	1	1	yes	characteristic
407	C₂	C₂×#14583333	1	1	yes	characteristic
408	C₂	#19147730	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₈×D₄₃
commutator, cosocle	C₂×C₈×C₄₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₄₃×#2224	C₂
socle	C₂²×C₄₃	C₂²×D₈
prime radical	C₂×D₈×D₄₃	C₂²
hypercenter	#2224	D₄₃
hypocenter	C₄₃	#33627
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₄² ◁ C₄×C₈ ◁ #2224

Complements

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

N	H ≅ G/N	type
1. #19145106	C₂	semidirect
3. #19136755	C₂	semidirect
4. #19136754	C₂	semidirect
5. #19136743	C₂	semidirect
6. #19136742	C₂	semidirect
7. #19136729	C₂	semidirect
8. #19136380	C₂	semidirect
9. #19136349	C₂	semidirect
11. C₄₃×#2224	C₂	semidirect
16. #14583304	C₂²	semidirect
18. #14583300	C₂²	semidirect
30. #14582727	C₂²	semidirect
31. #14582726	C₂²	semidirect
32. #14582724	C₂²	semidirect
33. C₄⋊(C₄₃⋊C₁₆)	C₂²	semidirect
34. Dic₄₃⋊C₁₆	C₂²	semidirect
38. C₄₃×#500	C₂²	semidirect
40. C₄₃×#366	C₂²	semidirect
41. C₄₃×C₄⋊C₁₆	C₂²	semidirect
48. D₈×D₄₃	Q₈	semidirect
206. #2224	D₄₃	semidirect
221. #500	C₂×D₄₃	semidirect
239. #366	C₂×D₄₃	semidirect
242. C₄⋊C₁₆	C₂×D₄₃	semidirect
247. C₄₃	#33627	semidirect

Maximal subgroups

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

subgroup	index
#19145106	2
C₄×D₈×D₄₃	2
#19136755	2
#19136754	2
#19136743	2
#19136742	2
#19136729	2
#19136380	2
#19136349	2
#19136309	2
C₄₃×#2224	2
#33627	43