Subgroups — #25196550

Order 11008.

612 conjugacy classes of subgroups.

The subgroup lattice has 432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19145107	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#14583016	C₂	1	1	yes	maximal, characteristic
3	#19135769	C₂	1	2	yes	maximal, complemented
4	#19135765	C₂	1	2	yes	maximal, complemented
5	#19135494	C₂	1	1	yes	maximal, characteristic
6	#19134719	C₂	1	1	yes	maximal, characteristic, complemented
7	#19134718	C₂	1	1	yes	maximal, characteristic, complemented
8	#19134647	C₂	1	2	yes	maximal, complemented
9	#19134639	C₂	1	2	yes	maximal, complemented
10	#19134475	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₃×#1976	C₂	1	1	yes	maximal, characteristic
12	C₂×#13063332	C₂²	1	2	yes	—
13	#14583452	C₂²	1	2	yes	—
14	#14583303	—	2	1	no	—
15	#14583300	—	2	1	no	—
16	#14583299	—	2	1	no	—
17	#14583296	—	2	1	no	—
18	#14583016	—	2	1	no	—
19	#14583016	—	2	1	no	—
20	#14583016	—	2	1	no	—
21	#14583016	—	2	1	no	—
22	C₂×#13063261	C₂²	1	1	yes	characteristic
23	C₂×#13063260	C₂²	1	1	yes	characteristic
24	#14582937	C₂²	1	1	yes	characteristic
25	#14582935	C₂²	1	1	yes	characteristic
26	#14582935	C₂²	1	2	yes	—
27	#14582916	C₂²	1	2	yes	—
28	C₂×#13063252	C₂²	1	2	yes	—
29	#14582873	C₂²	1	2	yes	—
30	#14582854	C₂²	1	1	yes	characteristic
31	C₂×C₈×Dic₄₃	C₂²	1	1	yes	characteristic
32	#14582670	C₂²	1	2	yes	—
33	#14582669	C₂²	1	2	yes	—
34	#14582660	C₂²	1	1	yes	characteristic
35	#14582658	C₂²	1	1	yes	characteristic
36	#14582655	C₂²	1	2	yes	—
37	#14582655	C₂²	1	2	yes	—
38	C₂×#135×C₄₃	C₂²	1	1	yes	characteristic
39	C₄₃×#427	C₂²	1	1	yes	characteristic
40	C₄₃×#421	C₂²	1	2	yes	—
41	C₄₃×#410	C₂²	1	2	yes	—
42	C₄₃×#405	C₂²	1	1	yes	characteristic
43	#13063332	—	2	2	no	—
44	#13063332	—	2	2	no	—
45	#13063332	—	2	2	no	—
46	#13063332	—	2	2	no	—
47	C₂×#10621877	—	2	2	no	—
48	C₂×#10621877	C₂³	1	1	yes	characteristic
49	C₂×#10621877	C₂³	1	2	yes	—
50	C₂²×C₄₃⋊C₈	—	2	2	no	—
51	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
52	#13063324	—	2	2	no	—
53	#13063316	—	2	2	no	—
54	#13063302	—	4	2	no	—
55	C₄×Dic₈₆	—	4	2	no	—
56	#13063284	C₂³	1	1	yes	characteristic
57	#13063284	C₂³	1	2	yes	—
58	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
59	#13063261	—	2	1	no	—
60	#13063261	—	2	1	no	—
61	#13063260	—	2	1	no	—
62	#13063260	—	2	1	no	—
63	#13063259	—	2	1	no	—
64	#13063258	—	2	2	no	—
65	#13063258	—	2	1	no	—
66	#13063257	—	2	1	no	—
67	#13063256	—	2	2	no	—
68	#13063256	—	2	1	no	—
69	#13063252	—	2	2	no	—
70	#13063252	—	2	2	no	—
71	#13063252	—	4	2	no	—
72	#13063240	—	4	2	no	—
73	#13063235	—	2	1	no	—
74	C₈×Dic₄₃	—	2	1	no	—
75	C₈×Dic₄₃	D₄	1	1	yes	characteristic
76	C₈×Dic₄₃	D₄	1	1	yes	characteristic
77	C₈×Dic₄₃	D₄	1	1	yes	characteristic
78	C₈×Dic₄₃	D₄	1	1	yes	characteristic
79	C₂×#41×C₄₃	C₂³	1	2	yes	—
80	#135×C₄₃	—	2	1	no	—
81	#135×C₄₃	—	2	1	no	—
82	#135×C₄₃	—	2	1	no	—
83	#135×C₄₃	—	2	1	no	—
84	C₂×Q₁₆×C₄₃	Q₈	1	1	yes	characteristic, complemented
85	C₂×SD₁₆×C₄₃	Q₈	1	2	yes	complemented
86	C₂×D₈×C₄₃	Q₈	1	1	yes	characteristic, complemented
87	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
88	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
89	#117×C₄₃	C₂³	1	1	yes	characteristic
90	#117×C₄₃	C₂³	1	2	yes	—
91	#107×C₄₃	—	2	1	no	—
92	#106×C₄₃	—	2	1	no	—
93	#104×C₄₃	—	4	2	no	—
94	#99×C₄₃	—	4	2	no	—
95	#97×C₄₃	—	2	1	no	—
96	C₄×C₈×C₄₃	—	2	1	no	—
97	#41×C₄₃	—	2	2	no	—
98	#41×C₄₃	—	2	2	no	—
99	#41×C₄₃	—	2	2	no	—
100	#41×C₄₃	—	2	2	no	—
101	C₂×Q₈×C₄₃	C₂×Q₈	1	2	yes	—
102	C₂×D₄×C₄₃	—	2	2	no	—
103	C₂×D₄×C₄₃	C₂×Q₈	1	2	yes	—
104	C₂²×C₄×C₄₃	—	2	2	no	—
105	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
106	C₂²×Dic₄₃	—	2	1	no	—
107	C₂×Dic₈₆	—	4	2	no	—
108	Q₁₆×C₄₃	—	2	1	no	—
109	Q₁₆×C₄₃	—	2	1	no	—
110	SD₁₆×C₄₃	—	2	2	no	—
111	SD₁₆×C₄₃	—	2	2	no	—
112	D₈×C₄₃	—	2	1	no	—
113	D₈×C₄₃	—	2	1	no	—
114	M₁₆×C₄₃	—	2	1	no	—
115	M₁₆×C₄₃	—	2	1	no	—
116	C₂×C₈×C₄₃	—	2	1	no	—
117	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
118	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
119	C₂×C₈×C₄₃	C₂×Q₈	1	1	yes	characteristic
120	C₂×C₈×C₄₃	C₂×Q₈	1	1	yes	characteristic
121	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
122	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
123	C₄⋊C₄×C₄₃	—	2	2	no	—
124	C₄⋊C₄×C₄₃	—	2	1	no	—
125	C₂²⋊C₄×C₄₃	—	2	1	no	—
126	C₂²⋊C₄×C₄₃	—	2	2	no	—
127	C₄²×C₄₃	—	2	1	no	—
128	C₄²×C₄₃	—	2	2	no	—
129	C₂²⋊Dic₄₃	—	2	1	no	—
130	C₂²⋊Dic₄₃	—	2	2	no	—
131	C₄⋊Dic₄₃	—	2	2	no	—
132	C₄⋊Dic₄₃	—	2	1	no	—
133	C₄⋊Dic₄₃	—	4	2	no	—
134	Dic₄₃⋊C₄	—	4	2	no	—
135	Dic₄₃⋊C₄	—	4	2	no	—
136	C₄×Dic₄₃	—	2	1	no	—
137	C₄×Dic₄₃	—	2	1	no	—
138	C₄×Dic₄₃	—	2	2	no	—
139	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
140	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
141	#10621877	—	2	2	no	—
142	#10621877	—	2	1	no	—
143	#10621877	—	2	2	no	—
144	#10621877	—	2	1	no	—
145	#10621877	—	4	2	no	—
146	#10621877	—	4	2	no	—
147	C₂×C₄₃⋊C₈	—	2	1	no	—
148	C₂×C₄₃⋊C₈	—	2	2	no	—
149	C₂×C₄₃⋊C₈	—	4	2	no	—
150	C₂×C₄₃⋊C₈	—	4	2	no	—
151	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
152	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
153	C₂×C₄₃⋊C₈	#41	1	1	yes	characteristic
154	C₂×C₄₃⋊C₈	#41	1	1	yes	characteristic
155	C₂×C₄₃⋊C₈	#41	1	1	yes	characteristic
156	C₂×C₄₃⋊C₈	#41	1	1	yes	characteristic
157	C₂³×C₄₃	—	2	2	no	—
158	C₂³×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
159	Q₈×C₄₃	—	2	2	no	—
160	Q₈×C₄₃	—	2	2	no	—
161	D₄×C₄₃	—	2	2	no	—
162	D₄×C₄₃	—	2	2	no	—
163	D₄×C₄₃	—	4	2	no	—
164	D₄×C₄₃	—	4	2	no	—
165	C₂×C₄×C₄₃	—	2	2	no	—
166	C₂×C₄×C₄₃	—	4	2	no	—
167	C₂×C₄×C₄₃	—	4	2	no	—
168	C₂×C₄×C₄₃	—	4	2	no	—
169	C₂×C₄×C₄₃	—	4	1	no	—
170	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
171	C₂×C₄×C₄₃	C₂²×Q₈	1	1	yes	characteristic
172	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
173	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
174	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
175	C₂×C₄×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
176	C₂×Dic₄₃	—	2	1	no	—
177	C₂×Dic₄₃	—	2	1	no	—
178	C₂×Dic₄₃	—	4	2	no	—
179	C₂×Dic₄₃	—	4	2	no	—
180	C₂×Dic₄₃	—	4	1	no	—
181	Dic₈₆	—	8	4	no	—
182	C₈×C₄₃	—	4	1	no	—
183	C₈×C₄₃	C₂²⋊Q₈	1	1	yes	characteristic
184	C₈×C₄₃	C₂²⋊Q₈	1	1	yes	characteristic
185	C₈×C₄₃	C₂²⋊Q₈	1	1	yes	characteristic
186	C₈×C₄₃	C₂²⋊Q₈	1	1	yes	characteristic
187	C₄₃⋊C₈	—	4	2	no	—
188	C₄₃⋊C₈	—	4	1	no	—
189	C₄₃⋊C₈	#124	1	1	yes	characteristic
190	C₄₃⋊C₈	#124	1	1	yes	characteristic
191	C₄₃⋊C₈	#124	1	1	yes	characteristic
192	C₄₃⋊C₈	#124	1	1	yes	characteristic
193	#29154	—	43	1	no	maximal, Sylow
194	C₂²×C₄₃	—	4	1	no	—
195	C₂²×C₄₃	—	4	2	no	—
196	C₂²×C₄₃	—	8	2	no	—
197	C₂²×C₄₃	#535	1	1	yes	characteristic
198	C₂²×C₄₃	#554	1	1	yes	characteristic
199	C₂²×C₄₃	#555	1	1	yes	characteristic
200	C₄×C₄₃	—	4	2	no	—
201	C₄×C₄₃	—	8	2	no	—
202	C₄×C₄₃	—	8	1	no	—
203	C₄×C₄₃	C₂×C₂²⋊Q₈	1	1	yes	characteristic
204	C₄×C₄₃	C₂×#124	1	1	yes	characteristic
205	C₄×C₄₃	#554	1	1	yes	characteristic
206	C₄×C₄₃	#555	1	1	yes	characteristic
207	Dic₄₃	—	2	2	no	—
208	Dic₄₃	—	4	1	no	—
209	Dic₄₃	—	8	2	no	—
210	Dic₄₃	—	8	1	no	—
211	#3160	—	43	1	no	—
212	C₂×#443	—	43	1	no	—
213	#2031	—	43	2	no	—
214	#2031	—	43	2	no	—
215	#1976	—	43	1	no	—
216	#1976	D₄₃	1	1	yes	characteristic
217	#1833	—	43	1	no	—
218	#1833	—	43	1	no	—
219	#1814	—	43	2	no	—
220	#1812	—	43	2	no	—
221	#1772	—	43	1	no	—
222	C₂×C₄₃	—	2	1	no	—
223	C₂×C₄₃	—	2	1	no	—
224	C₂×C₄₃	—	2	1	no	—
225	C₂×C₄₃	—	8	2	no	—
226	C₂×C₄₃	#2563	1	1	yes	characteristic
227	C₂×#135	C₂×D₄₃	1	1	yes	characteristic
228	C₂×#131	—	43	2	no	—
229	#533	—	43	2	no	—
230	#500	—	86	1	no	—
231	#499	—	86	1	no	—
232	#499	—	86	1	no	—
233	#498	—	86	1	no	—
234	#443	—	86	1	no	—
235	#443	—	86	1	no	—
236	#443	—	86	1	no	—
237	#443	—	86	1	no	—
238	C₂×#108	—	43	1	no	—
239	C₂×#108	—	43	1	no	—
240	#427	—	43	1	no	—
241	#427	—	43	1	no	—
242	#427	—	43	2	no	—
243	#427	C₂×D₄₃	1	1	yes	characteristic
244	#421	—	43	2	no	—
245	#421	C₂×D₄₃	1	2	yes	—
246	C₂×#104	—	43	2	no	—
247	#410	—	43	2	no	—
248	#410	C₂×D₄₃	1	2	yes	—
249	#405	—	43	1	no	—
250	#405	C₂×D₄₃	1	1	yes	characteristic
251	C₂×C₄×C₈	—	43	1	no	—
252	#344	—	43	2	no	—
253	#344	—	43	2	no	—
254	#339	—	43	1	no	—
255	#339	—	43	1	no	—
256	H(3,ℤ/4)	—	43	2	no	—
257	H(3,ℤ/4)	—	43	2	no	—
258	C₄₃	#29154	1	1	yes	characteristic, complemented, Sylow
259	C₂×#41	C₂²×D₄₃	1	2	yes	—
260	#135	—	2	1	no	—
261	#135	—	2	1	no	—
262	#135	—	2	1	no	—
263	#135	—	2	1	no	—
264	C₂×Q₁₆	Dic₈₆	1	1	yes	characteristic, complemented
265	C₂×SD₁₆	Dic₈₆	1	2	yes	complemented
266	C₂×D₈	Dic₈₆	1	1	yes	characteristic, complemented
267	#131	—	86	2	no	—
268	#131	—	86	2	no	—
269	#131	—	86	2	no	—
270	#131	—	86	2	no	—
271	C₂×M₁₆	—	43	2	no	—
272	C₂×M₁₆	—	43	1	no	—
273	C₂×M₁₆	—	86	2	no	—
274	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
275	C₂²×C₈	—	43	1	no	—
276	C₂²×C₈	—	86	2	no	—
277	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
278	C₄⋊Q₈	—	86	2	no	—
279	#125	—	86	2	no	—
280	C₂²⋊Q₈	—	172	2	no	—
281	C₄×Q₈	—	172	2	no	—
282	#117	—	43	2	no	—
283	#117	—	43	1	no	—
284	#117	C₂²×D₄₃	1	2	yes	—
285	#117	C₂²×D₄₃	1	1	yes	characteristic
286	C₂×C₄²	—	43	1	no	—
287	#108	—	86	1	no	—
288	#108	—	86	1	no	—
289	#108	—	86	1	no	—
290	#108	—	86	1	no	—
291	#107	—	2	1	no	—
292	#107	—	86	1	no	—
293	#107	—	86	2	no	—
294	#107	—	86	1	no	—
295	#106	—	2	1	no	—
296	#106	—	86	1	no	—
297	#106	—	86	2	no	—
298	#106	—	86	1	no	—
299	#104	—	4	2	no	—
300	#104	—	86	2	no	—
301	#104	—	86	2	no	—
302	#104	—	172	2	no	—
303	#99	—	4	2	no	—
304	#99	—	172	2	no	—
305	#97	—	2	1	no	—
306	#97	—	86	1	no	—
307	C₄×C₈	—	2	1	no	—
308	C₄×C₈	—	43	1	no	—
309	C₄×C₈	—	43	1	no	—
310	C₄×C₈	—	43	1	no	—
311	C₄×C₈	—	43	1	no	—
312	C₄×C₈	—	86	1	no	—
313	#41	—	2	2	no	—
314	#41	—	2	2	no	—
315	#41	—	2	2	no	—
316	#41	—	2	2	no	—
317	C₂×Q₈	—	172	2	no	—
318	C₂×Q₈	C₂×Dic₈₆	1	2	yes	—
319	C₂×D₄	—	2	2	no	—
320	C₂×D₄	C₂×Dic₈₆	1	2	yes	—
321	C₂²×C₄	—	2	2	no	—
322	C₂²×C₄	—	86	1	no	—
323	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
324	Q₁₆	—	2	1	no	—
325	Q₁₆	—	2	1	no	—
326	SD₁₆	—	2	2	no	—
327	SD₁₆	—	2	2	no	—
328	D₈	—	2	1	no	—
329	D₈	—	2	1	no	—
330	M₁₆	—	2	1	no	—
331	M₁₆	—	2	1	no	—
332	M₁₆	—	86	2	no	—
333	M₁₆	—	86	1	no	—
334	M₁₆	—	86	2	no	—
335	M₁₆	—	86	1	no	—
336	M₁₆	—	172	2	no	—
337	M₁₆	—	172	2	no	—
338	C₂×C₈	—	2	1	no	—
339	C₂×C₈	—	43	1	no	—
340	C₂×C₈	—	43	1	no	—
341	C₂×C₈	—	43	1	no	—
342	C₂×C₈	—	43	1	no	—
343	C₂×C₈	—	43	1	no	—
344	C₂×C₈	—	43	1	no	—
345	C₂×C₈	—	86	2	no	—
346	C₂×C₈	—	86	1	no	—
347	C₂×C₈	—	172	2	no	—
348	C₂×C₈	—	172	2	no	—
349	C₂×C₈	C₂×Dic₈₆	1	1	yes	characteristic
350	C₂×C₈	C₂×Dic₈₆	1	1	yes	characteristic
351	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
352	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
353	C₂×C₈	#10621900	1	1	yes	characteristic
354	C₂×C₈	#10621900	1	1	yes	characteristic
355	C₄⋊C₄	—	2	2	no	—
356	C₄⋊C₄	—	2	1	no	—
357	C₄⋊C₄	—	86	2	no	—
358	C₄⋊C₄	—	86	1	no	—
359	C₄⋊C₄	—	172	2	no	—
360	C₄⋊C₄	—	172	2	no	—
361	C₄⋊C₄	—	172	2	no	—
362	C₂²⋊C₄	—	2	1	no	—
363	C₂²⋊C₄	—	2	2	no	—
364	C₂²⋊C₄	—	86	1	no	—
365	C₂²⋊C₄	—	86	2	no	—
366	C₄²	—	2	1	no	—
367	C₄²	—	2	2	no	—
368	C₄²	—	43	1	no	—
369	C₄²	—	43	1	no	—
370	C₄²	—	86	1	no	—
371	C₄²	—	86	1	no	—
372	C₄²	—	86	2	no	—
373	C₂³	—	2	2	no	—
374	C₂³	#13063370	1	1	yes	characteristic
375	Q₈	—	2	2	no	—
376	Q₈	—	2	2	no	—
377	Q₈	—	344	4	no	—
378	D₄	—	2	2	no	—
379	D₄	—	2	2	no	—
380	D₄	—	4	2	no	—
381	D₄	—	4	2	no	—
382	C₂×C₄	—	2	2	no	—
383	C₂×C₄	—	4	2	no	—
384	C₂×C₄	—	4	2	no	—
385	C₂×C₄	—	4	1	no	—
386	C₂×C₄	—	4	2	no	—
387	C₂×C₄	—	86	1	no	—
388	C₂×C₄	—	86	1	no	—
389	C₂×C₄	—	172	2	no	—
390	C₂×C₄	—	172	1	no	—
391	C₂×C₄	—	172	2	no	—
392	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
393	C₂×C₄	C₂²×Dic₈₆	1	1	yes	characteristic
394	C₂×C₄	#41×D₄₃	1	1	yes	characteristic
395	C₂×C₄	#41×D₄₃	1	1	yes	characteristic
396	C₂×C₄	C₂×#10621900	1	1	yes	characteristic
397	C₂×C₄	#13063370	1	1	yes	characteristic
398	C₈	—	4	1	no	—
399	C₈	—	43	1	no	—
400	C₈	—	43	1	no	—
401	C₈	—	43	1	no	—
402	C₈	—	43	1	no	—
403	C₈	—	172	1	no	—
404	C₈	—	172	2	no	—
405	C₈	#13063302	1	1	yes	characteristic
406	C₈	#13063302	1	1	yes	characteristic
407	C₈	#13063302	1	1	yes	characteristic
408	C₈	#13063302	1	1	yes	characteristic
409	C₂²	—	4	1	no	—
410	C₂²	—	4	2	no	—
411	C₂²	—	8	2	no	—
412	C₂²	#14583462	1	1	yes	characteristic
413	C₂²	#14583608	1	1	yes	characteristic
414	C₂²	#14583613	1	1	yes	characteristic
415	C₄	—	4	2	no	—
416	C₄	—	8	2	no	—
417	C₄	—	8	1	no	—
418	C₄	—	86	2	no	—
419	C₄	—	344	2	no	—
420	C₄	—	344	1	no	—
421	C₄	—	172	1	no	—
422	C₄	C₂×#13063302	1	1	yes	characteristic
423	C₄	#124×D₄₃	1	1	yes	characteristic
424	C₄	#14583608	1	1	yes	characteristic
425	C₄	#14583613	1	1	yes	characteristic
426	C₂	—	2	1	no	—
427	C₂	—	2	1	no	—
428	C₂	—	2	1	no	—
429	C₂	—	8	2	no	—
430	C₂	#19139766	1	1	yes	characteristic

	subgroup	G/H
center	C₄	#14583613
commutator, cosocle	C₂²×C₄×C₄₃	C₂⁴
Frattini	C₂²×C₄	C₂³×D₄₃
Fitting	C₄₃×#1976	C₂
socle	C₂×C₄₃	#2563
prime radical	C₂×#135×C₄₃	C₂²
hypercenter	#1976	D₄₃
hypocenter	C₄₃	#29154
LCS	G ▷ C₂²×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₄ ◁ C₂²×C₄ ◁ #1976

Complements

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

N	H ≅ G/N	type
1. #19145107	C₂	semidirect
3. #19135769	C₂	semidirect
4. #19135765	C₂	semidirect
6. #19134719	C₂	semidirect
7. #19134718	C₂	semidirect
8. #19134647	C₂	semidirect
9. #19134639	C₂	semidirect
10. #19134475	C₂	semidirect
84. C₂×Q₁₆×C₄₃	Q₈	semidirect
85. C₂×SD₁₆×C₄₃	Q₈	semidirect
86. C₂×D₈×C₄₃	Q₈	semidirect
258. C₄₃	#29154	semidirect
264. C₂×Q₁₆	Dic₈₆	semidirect
265. C₂×SD₁₆	Dic₈₆	semidirect
266. C₂×D₈	Dic₈₆	semidirect

Maximal subgroups

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

subgroup	index
#19145107	2
C₂×#14583016	2
#19135769	2
#19135765	2
#19135494	2
#19134719	2
#19134718	2
#19134647	2
#19134639	2
#19134475	2
C₄₃×#1976	2
#29154	43