Subgroups — #25253388

Order 11008.

668 conjugacy classes of subgroups.

The subgroup lattice has 438 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19147735	C₂	1	2	yes	maximal, complemented
2	#19146395	C₂	1	1	yes	maximal, characteristic, complemented
3	#19146394	C₂	1	1	yes	maximal, characteristic, complemented
4	#19136844	C₂	1	1	yes	maximal, characteristic, complemented
5	#19136714	C₂	1	2	yes	maximal, complemented
6	#19136672	C₂	1	1	yes	maximal, characteristic, complemented
7	#19136555	C₂	1	2	yes	maximal, complemented
8	#19136549	C₂	1	2	yes	maximal, complemented
9	#19136474	C₂	1	1	yes	maximal, characteristic, complemented
10	#19136431	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#2213	C₂	1	1	yes	maximal, characteristic, complemented
12	#14583704	—	2	1	no	—
13	#14583701	C₂²	1	2	yes	complemented
14	#14583700	—	2	1	no	—
15	#14583700	C₂²	1	2	yes	complemented
16	#14583337	C₂²	1	2	yes	complemented
17	#14583336	—	2	2	no	—
18	#14583333	—	2	2	no	—
19	#14583330	—	2	2	no	—
20	#14583329	C₂²	1	1	yes	characteristic
21	C₂×#13063266	C₂²	1	2	yes	complemented
22	C₂×#13063266	C₂²	1	2	yes	complemented
23	D₁₆×D₄₃	—	2	2	no	—
24	#14583317	C₂²	1	2	yes	complemented
25	#14583276	C₂²	1	1	yes	characteristic, complemented
26	#14583170	C₂²	1	2	yes	complemented
27	#14583169	—	2	1	no	—
28	#14583166	—	2	1	no	—
29	#14583166	C₂²	1	2	yes	complemented
30	#14583068	—	2	2	no	—
31	#14583066	—	2	2	no	—
32	#14583017	C₂²	1	1	yes	characteristic
33	#14583017	C₂²	1	1	yes	characteristic, complemented
34	#14582728	C₂²	1	1	yes	characteristic, complemented
35	#14582713	C₂²	1	2	yes	complemented
36	#14582706	C₂²	1	1	yes	characteristic, complemented
37	#14582705	C₂²	1	1	yes	characteristic, complemented
38	#14582684	C₂²	1	2	yes	complemented
39	C₄×C₄₃⋊C₁₆	C₂²	1	1	yes	characteristic, complemented
40	C₄₃×#509	C₂²	1	2	yes	complemented
41	C₄₃×#493	C₂²	1	1	yes	characteristic, complemented
42	C₄₃×#443	C₂²	1	1	yes	characteristic, complemented
43	C₄₃×#364	C₂²	1	1	yes	characteristic, complemented
44	C₄₃×#361	C₂²	1	2	yes	complemented
45	#13063371	—	2	2	no	—
46	#13063370	—	2	2	no	—
47	#13063353	—	2	2	no	—
48	#13063353	—	4	2	no	—
49	#13063352	—	4	2	no	—
50	#13063351	—	2	2	no	—
51	#13063351	—	2	2	no	—
52	#13063350	—	2	2	no	—
53	#13063349	—	4	2	no	—
54	#13063349	—	4	2	no	—
55	#13063348	—	2	2	no	—
56	#13063347	—	4	1	no	—
57	#13063347	D₄	1	1	yes	characteristic
58	#13063347	C₂³	1	1	yes	characteristic
59	#13063344	—	2	2	no	—
60	#13063344	—	4	1	no	—
61	C₂×D₃₄₄	—	2	1	no	—
62	C₂×D₃₄₄	—	4	1	no	—
63	C₂×D₃₄₄	C₂³	1	2	yes	—
64	D₈×D₄₃	—	2	2	no	—
65	D₈×D₄₃	—	2	2	no	—
66	D₈×D₄₃	—	4	1	no	—
67	#13063331	—	2	1	no	—
68	#13063331	C₂³	1	2	yes	—
69	#13063322	—	2	1	no	—
70	#13063271	D₄	1	1	yes	characteristic, complemented
71	#13063270	—	2	2	no	—
72	#13063269	D₄	1	1	yes	characteristic, complemented
73	#13063268	D₄	1	1	yes	characteristic, complemented
74	D₆₈₈	—	2	2	no	—
75	#13063266	—	2	2	no	—
76	#13063266	—	2	2	no	—
77	#13063266	—	4	2	no	—
78	#13063266	D₄	1	1	yes	characteristic, complemented
79	#13063264	—	2	2	no	—
80	C₂×C₄₃⋊C₁₆	C₂³	1	1	yes	characteristic
81	C₂×C₄₃⋊C₁₆	C₂³	1	1	yes	characteristic
82	C₁₆×D₄₃	—	2	2	no	—
83	#13063261	D₄	1	1	yes	characteristic
84	#13063261	C₂³	1	1	yes	characteristic
85	#13063253	—	2	1	no	—
86	#13063253	D₄	1	2	yes	—
87	#13063242	—	2	2	no	—
88	#13063241	—	2	2	no	—
89	#135×C₄₃	C₂³	1	1	yes	characteristic
90	C₂×D₈×C₄₃	—	2	1	no	—
91	C₂×D₈×C₄₃	C₂³	1	2	yes	—
92	#131×C₄₃	—	2	1	no	—
93	#127×C₄₃	—	2	1	no	—
94	SD₃₂×C₄₃	—	2	2	no	—
95	D₁₆×C₄₃	—	2	2	no	—
96	M₃₂×C₄₃	C₂³	1	2	yes	—
97	#108×C₄₃	C₂³	1	1	yes	characteristic
98	#104×C₄₃	—	2	1	no	—
99	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
100	#41×C₄₃	—	2	1	no	—
101	C₂×D₄×C₄₃	—	2	2	no	—
102	C₂×D₄×C₄₃	—	8	1	no	—
103	C₂×C₂²⋊D₄₃	—	8	2	no	—
104	#10621902	—	4	2	no	—
105	#10621900	—	4	2	no	—
106	#10621900	—	4	2	no	—
107	D₄×D₄₃	—	4	2	no	—
108	D₄×D₄₃	—	4	2	no	—
109	D₄×D₄₃	—	4	2	no	—
110	D₄×D₄₃	—	8	2	no	—
111	#10621898	—	2	1	no	—
112	#10621898	—	4	2	no	—
113	#10621898	C₂×D₄	1	2	yes	—
114	C₂×D₁₇₂	—	2	2	no	—
115	C₂×D₁₇₂	—	4	2	no	—
116	C₂×D₁₇₂	—	8	1	no	—
117	Q₁₆×C₄₃	C₂×D₄	1	1	yes	characteristic
118	SD₁₆×C₄₃	—	2	1	no	—
119	D₈×C₄₃	—	2	2	no	—
120	D₈×C₄₃	—	2	2	no	—
121	D₈×C₄₃	—	4	1	no	—
122	D₈×C₄₃	—	4	1	no	—
123	D₈×C₄₃	C₂×D₄	1	1	yes	characteristic
124	M₁₆×C₄₃	—	2	1	no	—
125	M₁₆×C₄₃	—	4	1	no	—
126	C₂×C₈×C₄₃	—	4	1	no	—
127	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
128	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
129	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
130	#10621884	—	4	2	no	—
131	#10621883	—	4	2	no	—
132	#10621883	—	4	2	no	—
133	#10621882	—	4	2	no	—
134	#10621882	—	4	2	no	—
135	#10621882	—	4	2	no	—
136	#10621877	—	2	1	no	—
137	#10621877	C₂×D₄	1	2	yes	—
138	Dic₁₇₂	D₈	1	1	yes	characteristic
139	Dic₁₇₂	C₂×D₄	1	1	yes	characteristic
140	D₃₄₄	—	2	2	no	—
141	D₃₄₄	—	2	2	no	—
142	D₃₄₄	—	4	2	no	—
143	D₃₄₄	—	4	1	no	—
144	D₃₄₄	—	4	1	no	—
145	D₃₄₄	D₈	1	1	yes	characteristic
146	D₃₄₄	C₂×D₄	1	1	yes	characteristic
147	#10621873	—	2	1	no	—
148	#10621873	—	4	2	no	—
149	#10621873	D₈	1	2	yes	—
150	#10621872	—	2	2	no	—
151	#10621872	—	4	1	no	—
152	C₈×D₄₃	—	2	2	no	—
153	C₈×D₄₃	—	4	1	no	—
154	C₁₆×C₄₃	—	2	2	no	—
155	C₄₃⋊C₁₆	—	2	1	no	—
156	C₄₃⋊C₁₆	C₂×D₄	1	1	yes	characteristic
157	C₄₃⋊C₁₆	C₂×D₄	1	1	yes	characteristic
158	C₂³×C₄₃	—	4	2	no	—
159	C₂²×D₄₃	—	4	2	no	—
160	C₂²×D₄₃	—	8	2	no	—
161	C₂²×D₄₃	—	8	2	no	—
162	Q₈×C₄₃	—	2	1	no	—
163	D₄×C₄₃	—	2	1	no	—
164	D₄×C₄₃	—	4	1	no	—
165	D₄×C₄₃	—	4	2	no	—
166	D₄×C₄₃	—	4	2	no	—
167	D₄×C₄₃	—	16	2	no	—
168	C₂×C₄×C₄₃	—	2	1	no	—
169	C₂×C₄×C₄₃	—	4	1	no	—
170	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
171	C₂²⋊D₄₃	—	2	2	no	—
172	C₂²⋊D₄₃	—	4	1	no	—
173	C₂²⋊D₄₃	—	8	2	no	—
174	C₂²⋊D₄₃	—	8	2	no	—
175	C₂²⋊D₄₃	—	8	2	no	—
176	C₂×Dic₄₃	—	8	2	no	—
177	D₁₇₂	—	2	1	no	—
178	D₁₇₂	—	4	2	no	—
179	D₁₇₂	—	4	2	no	—
180	D₁₇₂	—	8	2	no	—
181	D₁₇₂	—	16	2	no	—
182	D₁₇₂	C₂×D₈	1	2	yes	—
183	C₄×D₄₃	—	2	2	no	—
184	C₄×D₄₃	—	4	1	no	—
185	C₄×D₄₃	—	8	2	no	—
186	Dic₈₆	—	2	1	no	—
187	Dic₈₆	C₂×D₈	1	2	yes	—
188	C₈×C₄₃	—	4	1	no	—
189	C₈×C₄₃	C₂×D₈	1	1	yes	characteristic
190	C₈×C₄₃	C₂×D₈	1	1	yes	characteristic
191	C₈×C₄₃	C₂²×D₄	1	1	yes	characteristic
192	C₈×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
193	C₄₃⋊C₈	—	2	2	no	—
194	C₄₃⋊C₈	—	4	1	no	—
195	#33858	—	43	1	no	maximal, Sylow
196	C₂²×C₄₃	—	4	1	no	—
197	C₂²×C₄₃	—	8	2	no	—
198	C₂²×C₄₃	—	16	2	no	—
199	C₂²×C₄₃	#576	1	1	yes	characteristic
200	C₂×D₄₃	—	2	2	no	—
201	C₂×D₄₃	—	4	1	no	—
202	C₂×D₄₃	—	8	2	no	—
203	C₂×D₄₃	—	16	2	no	—
204	C₂×D₄₃	—	32	2	no	—
205	C₂×D₄₃	—	32	2	no	—
206	C₄×C₄₃	—	2	2	no	—
207	C₄×C₄₃	—	4	1	no	—
208	C₄×C₄₃	D₄²	1	1	yes	characteristic
209	C₄×C₄₃	C₂²×D₈	1	1	yes	characteristic
210	Dic₄₃	—	2	2	no	—
211	Dic₄₃	—	4	1	no	—
212	#3415	—	43	2	no	—
213	#3292	—	43	1	no	—
214	#3292	—	43	1	no	—
215	#2246	—	43	1	no	—
216	#2221	—	43	2	no	—
217	#2213	—	43	1	no	—
218	#2213	D₄₃	1	1	yes	characteristic, complemented
219	#2192	—	43	2	no	—
220	#2192	—	43	2	no	—
221	#2178	—	43	1	no	—
222	#2170	—	43	1	no	—
223	C₂×C₄₃	—	2	1	no	—
224	C₂×C₄₃	—	8	1	no	—
225	C₂×C₄₃	—	16	2	no	—
226	C₂×C₄₃	D₄×D₈	1	1	yes	characteristic
227	D₄₃	—	4	2	no	—
228	D₄₃	—	8	1	no	—
229	D₄₃	—	16	2	no	—
230	#576	—	43	2	no	—
231	#576	—	43	2	no	—
232	#576	—	86	1	no	—
233	#576	—	86	1	no	—
234	#509	—	43	2	no	—
235	#509	—	86	2	no	—
236	#509	—	86	2	no	—
237	#509	C₂×D₄₃	1	2	yes	complemented
238	#508	—	43	1	no	—
239	#508	—	86	2	no	—
240	C₂×D₁₆	—	43	2	no	—
241	C₂×D₁₆	—	43	2	no	—
242	C₂×D₁₆	—	86	2	no	—
243	#504	—	43	2	no	—
244	#493	—	43	1	no	—
245	#493	C₂×D₄₃	1	1	yes	characteristic, complemented
246	#472	—	43	2	no	—
247	#472	—	43	2	no	—
248	#472	—	86	1	no	—
249	#472	—	86	1	no	—
250	#453	—	86	2	no	—
251	#453	—	86	2	no	—
252	#443	—	43	1	no	—
253	#443	—	43	1	no	—
254	#443	C₂×D₄₃	1	1	yes	characteristic, complemented
255	#368	—	43	1	no	—
256	#364	C₂×D₄₃	1	1	yes	characteristic, complemented
257	#361	—	43	2	no	—
258	#361	C₂×D₄₃	1	2	yes	complemented
259	#359	—	43	1	no	—
260	#359	—	43	1	no	—
261	#350	—	43	2	no	—
262	C₄×C₁₆	—	43	1	no	—
263	C₄₃	#33858	1	1	yes	characteristic, complemented, Sylow
264	H(5,𝔽₂)	—	86	2	no	—
265	H(5,𝔽₂)	—	86	2	no	—
266	AGL(1,ℤ/8)	—	86	2	no	—
267	AGL(1,ℤ/8)	—	86	2	no	—
268	AGL(1,ℤ/8)	—	86	2	no	—
269	AGL(1,ℤ/8)	—	86	2	no	—
270	AGL(1,ℤ/8)	—	172	2	no	—
271	AGL(1,ℤ/8)	—	172	2	no	—
272	AGL(1,ℤ/8)	—	172	2	no	—
273	AGL(1,ℤ/8)	—	172	2	no	—
274	#135	—	43	1	no	—
275	#135	—	43	1	no	—
276	#135	—	86	2	no	—
277	#135	—	86	2	no	—
278	#135	—	172	1	no	—
279	#135	—	172	1	no	—
280	#135	C₂²×D₄₃	1	1	yes	characteristic
281	C₂×D₈	—	2	1	no	—
282	C₂×D₈	—	43	2	no	—
283	C₂×D₈	—	86	2	no	—
284	C₂×D₈	—	86	2	no	—
285	C₂×D₈	—	86	1	no	—
286	C₂×D₈	—	172	1	no	—
287	C₂×D₈	—	172	1	no	—
288	C₂×D₈	C₂²×D₄₃	1	2	yes	—
289	#131	—	2	1	no	—
290	#131	—	43	2	no	—
291	#131	—	86	1	no	—
292	#127	—	2	1	no	—
293	#127	—	86	1	no	—
294	Q₃₂	—	43	1	no	—
295	SD₃₂	—	2	2	no	—
296	SD₃₂	—	43	1	no	—
297	SD₃₂	—	43	1	no	—
298	SD₃₂	—	86	2	no	—
299	D₁₆	—	2	2	no	—
300	D₁₆	—	43	1	no	—
301	D₁₆	—	86	2	no	—
302	D₁₆	—	86	2	no	—
303	D₁₆	—	86	2	no	—
304	D₁₆	—	172	2	no	—
305	M₃₂	—	86	2	no	—
306	M₃₂	C₂²×D₄₃	1	2	yes	—
307	C₂×C₁₆	—	43	1	no	—
308	C₂×C₁₆	—	43	1	no	—
309	C₂×C₁₆	—	86	2	no	—
310	#108	—	43	1	no	—
311	#108	—	43	1	no	—
312	#108	C₂²×D₄₃	1	1	yes	characteristic
313	#104	—	2	1	no	—
314	#104	—	43	2	no	—
315	#104	—	86	1	no	—
316	#100	—	86	2	no	—
317	#100	—	86	2	no	—
318	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
319	#41	—	2	1	no	—
320	#41	—	43	2	no	—
321	#41	—	86	1	no	—
322	#41	—	172	2	no	—
323	#41	—	172	2	no	—
324	#41	—	172	2	no	—
325	#41	—	172	2	no	—
326	C₂×D₄	—	2	2	no	—
327	C₂×D₄	—	8	1	no	—
328	C₂×D₄	—	86	2	no	—
329	C₂×D₄	—	344	1	no	—
330	C₂×D₄	—	344	2	no	—
331	C₂×D₄	—	344	2	no	—
332	C₂×D₄	—	172	2	no	—
333	C₂×D₄	—	172	2	no	—
334	C₂×D₄	—	172	2	no	—
335	C₂×D₄	—	172	2	no	—
336	Q₁₆	—	43	1	no	—
337	Q₁₆	—	43	1	no	—
338	Q₁₆	D₄×D₄₃	1	1	yes	characteristic
339	SD₁₆	—	2	1	no	—
340	SD₁₆	—	43	2	no	—
341	SD₁₆	—	86	1	no	—
342	SD₁₆	—	172	2	no	—
343	SD₁₆	—	172	2	no	—
344	SD₁₆	—	172	2	no	—
345	SD₁₆	—	172	2	no	—
346	D₈	—	2	2	no	—
347	D₈	—	2	2	no	—
348	D₈	—	4	1	no	—
349	D₈	—	4	1	no	—
350	D₈	—	43	1	no	—
351	D₈	—	43	1	no	—
352	D₈	—	86	2	no	—
353	D₈	—	86	2	no	—
354	D₈	—	172	2	no	—
355	D₈	—	172	2	no	—
356	D₈	—	172	2	no	—
357	D₈	—	172	2	no	—
358	D₈	—	172	1	no	—
359	D₈	—	172	1	no	—
360	D₈	D₄×D₄₃	1	1	yes	characteristic
361	M₁₆	—	2	1	no	—
362	M₁₆	—	4	1	no	—
363	M₁₆	—	43	2	no	—
364	M₁₆	—	86	2	no	—
365	M₁₆	—	86	1	no	—
366	M₁₆	—	172	1	no	—
367	C₂×C₈	—	4	1	no	—
368	C₂×C₈	—	86	2	no	—
369	C₂×C₈	—	172	1	no	—
370	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
371	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
372	C₄²	D₄×D₄₃	1	1	yes	characteristic
373	C₁₆	—	2	2	no	—
374	C₁₆	—	43	1	no	—
375	C₁₆	—	43	1	no	—
376	C₁₆	—	86	1	no	—
377	C₂³	—	4	2	no	—
378	C₂³	—	344	2	no	—
379	C₂³	—	344	2	no	—
380	C₂³	—	172	2	no	—
381	Q₈	—	2	1	no	—
382	Q₈	—	43	2	no	—
383	Q₈	—	86	1	no	—
384	D₄	—	2	1	no	—
385	D₄	—	4	1	no	—
386	D₄	—	4	2	no	—
387	D₄	—	4	2	no	—
388	D₄	—	16	2	no	—
389	D₄	—	43	2	no	—
390	D₄	—	86	2	no	—
391	D₄	—	86	1	no	—
392	D₄	—	344	2	no	—
393	D₄	—	344	2	no	—
394	D₄	—	344	2	no	—
395	D₄	—	344	2	no	—
396	D₄	—	172	1	no	—
397	D₄	—	172	2	no	—
398	D₄	—	172	2	no	—
399	D₄	—	688	2	no	—
400	C₂×C₄	—	2	1	no	—
401	C₂×C₄	—	4	1	no	—
402	C₂×C₄	—	86	2	no	—
403	C₂×C₄	—	344	2	no	—
404	C₂×C₄	—	344	2	no	—
405	C₂×C₄	—	172	1	no	—
406	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
407	C₈	—	4	1	no	—
408	C₈	—	86	2	no	—
409	C₈	—	172	1	no	—
410	C₈	D₈×D₄₃	1	1	yes	characteristic
411	C₈	D₈×D₄₃	1	1	yes	characteristic
412	C₈	C₂×D₄×D₄₃	1	1	yes	characteristic
413	C₈	#13063371	1	1	yes	characteristic
414	C₂²	—	4	1	no	—
415	C₂²	—	8	2	no	—
416	C₂²	—	16	2	no	—
417	C₂²	—	86	2	no	—
418	C₂²	—	344	2	no	—
419	C₂²	—	1376	2	no	—
420	C₂²	—	1376	2	no	—
421	C₂²	—	172	1	no	—
422	C₂²	—	688	2	no	—
423	C₂²	#14583703	1	1	yes	characteristic
424	C₄	—	2	2	no	—
425	C₄	—	4	1	no	—
426	C₄	—	86	2	no	—
427	C₄	—	172	1	no	—
428	C₄	#14583533	1	1	yes	characteristic
429	C₄	C₂×D₈×D₄₃	1	1	yes	characteristic
430	C₂	—	2	1	no	—
431	C₂	—	8	1	no	—
432	C₂	—	16	2	no	—
433	C₂	—	344	1	no	—
434	C₂	—	172	2	no	—
435	C₂	—	688	2	no	—
436	C₂	#19146267	1	1	yes	characteristic

	subgroup	G/H
center	C₂	#19146267
commutator, cosocle	C₂×C₈×C₄₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₄₃×#2213	C₂
socle	C₂×C₄₃	D₄×D₈
hypercenter	#2213	D₄₃
hypocenter	C₄₃	#33858
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ C₄×C₈ ◁ #2213

Complements

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

N	H ≅ G/N	type
1. #19147735	C₂	semidirect
2. #19146395	C₂	semidirect
3. #19146394	C₂	semidirect
4. #19136844	C₂	semidirect
5. #19136714	C₂	semidirect
6. #19136672	C₂	semidirect
7. #19136555	C₂	semidirect
8. #19136549	C₂	semidirect
9. #19136474	C₂	semidirect
10. #19136431	C₂	semidirect
11. C₄₃×#2213	C₂	semidirect
13. #14583701	C₂²	semidirect
15. #14583700	C₂²	semidirect
16. #14583337	C₂²	semidirect
21. C₂×#13063266	C₂²	semidirect
22. C₂×#13063266	C₂²	semidirect
24. #14583317	C₂²	semidirect
25. #14583276	C₂²	semidirect
26. #14583170	C₂²	semidirect
29. #14583166	C₂²	semidirect
33. #14583017	C₂²	semidirect
34. #14582728	C₂²	semidirect
35. #14582713	C₂²	semidirect
36. #14582706	C₂²	semidirect
37. #14582705	C₂²	semidirect
38. #14582684	C₂²	semidirect
39. C₄×C₄₃⋊C₁₆	C₂²	semidirect
40. C₄₃×#509	C₂²	semidirect
41. C₄₃×#493	C₂²	semidirect
42. C₄₃×#443	C₂²	semidirect
43. C₄₃×#364	C₂²	semidirect
44. C₄₃×#361	C₂²	semidirect
70. #13063271	D₄	semidirect
72. #13063269	D₄	semidirect
73. #13063268	D₄	semidirect
78. #13063266	D₄	semidirect
218. #2213	D₄₃	semidirect
237. #509	C₂×D₄₃	semidirect
245. #493	C₂×D₄₃	semidirect
254. #443	C₂×D₄₃	semidirect
256. #364	C₂×D₄₃	semidirect
258. #361	C₂×D₄₃	semidirect
263. C₄₃	#33858	semidirect

Maximal subgroups

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

subgroup	index
#19147735	2
#19146395	2
#19146394	2
#19136844	2
#19136714	2
#19136672	2
#19136555	2
#19136549	2
#19136474	2
#19136431	2
C₄₃×#2213	2
#33858	43