Subgroups — #34034534

Order 18688.

714 conjugacy classes of subgroups.

The subgroup lattice has 422 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22627175	C₂	1	2	yes	maximal, complemented
2	SD₁₆⋊#10596842	C₂	1	4	yes	maximal, complemented
3	Q₁₆×#10596842	C₂	1	2	yes	maximal, complemented
4	D₈×#10596842	C₂	1	2	yes	maximal, complemented
5	C₂×#17989677	C₂	1	1	yes	maximal, characteristic, complemented
6	#22627050	C₂	1	2	yes	maximal, complemented
7	#22627040	C₂	1	1	yes	maximal, characteristic, complemented
8	#135×#64408	C₂	1	1	yes	maximal, characteristic
9	Q₈×#10596842	C₂²	1	4	yes	—
10	D₄×#10596842	—	2	4	no	—
11	D₄×#10596842	C₂²	1	4	yes	—
12	#17989700	—	2	2	no	—
13	#17989700	C₂²	1	1	yes	characteristic
14	#17989700	C₂²	1	1	yes	characteristic
15	C₂×C₄⋊#10596842	—	2	2	no	—
16	C₂×C₄⋊#10596842	C₂²	1	2	yes	—
17	#17989677	C₂²	1	2	yes	—
18	#17989677	C₂²	1	2	yes	—
19	Q₈⋊#10596842	C₂²	1	4	yes	—
20	D₄⋊#10596842	C₂²	1	4	yes	—
21	#17989671	C₂²	1	2	yes	—
22	C₈×#10596842	C₂²	1	2	yes	—
23	#41×#64408	C₂²	1	2	yes	—
24	Q₁₆×#64408	C₄	1	1	yes	characteristic
25	Q₁₆×#64408	C₂²	1	1	yes	characteristic
26	SD₁₆×#64408	C₄	1	2	yes	—
27	SD₁₆×#64408	C₂²	1	2	yes	—
28	D₈×#64408	C₄	1	1	yes	characteristic
29	D₈×#64408	C₂²	1	1	yes	characteristic
30	#17989597	C₄	1	1	yes	characteristic
31	#17989577	C₄	1	2	yes	—
32	C₂×C₈×#64408	C₂²	1	1	yes	characteristic
33	#135×D₇₃	C₄	1	1	yes	characteristic
34	C₂²×#10596842	—	2	4	no	—
35	C₂²×#10596842	—	2	2	no	—
36	C₄⋊#10596842	—	2	4	no	—
37	C₄⋊#10596842	—	2	2	no	—
38	C₄⋊#10596842	—	2	1	no	—
39	C₄⋊#10596842	D₄	1	1	yes	characteristic
40	C₄⋊#10596842	D₄	1	1	yes	characteristic
41	C₄⋊#10596842	C₂³	1	4	yes	—
42	C₂²⋊#10596842	—	2	4	no	—
43	C₂²⋊#10596842	—	2	1	no	—
44	C₂²⋊#10596842	D₄	1	2	yes	—
45	C₄×#10596842	—	2	4	no	—
46	C₄×#10596842	C₂³	1	2	yes	—
47	C₄×#10596842	C₂³	1	2	yes	—
48	C₂×#11924036	C₂×C₄	1	1	yes	characteristic
49	Q₈×#64408	C₂×C₄	1	2	yes	—
50	Q₈×#64408	C₂³	1	2	yes	—
51	D₄×#64408	—	2	2	no	—
52	D₄×#64408	—	2	2	no	—
53	D₄×#64408	C₂×C₄	1	2	yes	—
54	D₄×#64408	C₂³	1	2	yes	—
55	#14556670	—	2	2	no	—
56	#14556670	C₂×C₄	1	2	yes	—
57	C₂×C₄×#64408	—	2	2	no	—
58	C₂×C₄×#64408	C₂³	1	1	yes	characteristic
59	#14556660	C₂×C₄	1	1	yes	characteristic
60	#14556660	C₂×C₄	1	1	yes	characteristic
61	#14556659	C₂×C₄	1	2	yes	—
62	#14556654	C₂×C₄	1	2	yes	—
63	#14556654	C₂×C₄	1	2	yes	—
64	#14556653	C₂×C₄	1	2	yes	—
65	#14556653	C₂×C₄	1	2	yes	—
66	C₈×#64408	C₂×C₄	1	1	yes	characteristic
67	C₈×#64408	C₂×C₄	1	1	yes	characteristic
68	C₈×#64408	C₂³	1	1	yes	characteristic
69	C₈×#64408	C₂³	1	1	yes	characteristic
70	#41×D₇₃	C₂×C₄	1	2	yes	—
71	#14556614	C₈	1	1	yes	characteristic, complemented
72	#14556613	C₈	1	1	yes	characteristic, complemented
73	#14556612	C₈	1	2	yes	complemented
74	#14556611	C₈	1	2	yes	complemented
75	#14556610	C₈	1	1	yes	characteristic, complemented
76	Q₁₆×D₇₃	C₂×C₄	1	1	yes	characteristic
77	SD₁₆×D₇₃	C₂×C₄	1	2	yes	—
78	D₈×D₇₃	C₂×C₄	1	1	yes	characteristic
79	C₂×C₈×D₇₃	C₂×C₄	1	1	yes	characteristic
80	#135×C₇₃	C₈	1	1	yes	characteristic, complemented
81	C₂×#10596842	—	2	4	no	—
82	C₂×#10596842	—	2	2	no	—
83	C₂×#10596842	—	8	4	no	—
84	C₂×#10596842	—	8	2	no	—
85	C₂×#10596842	C₂×D₄	1	2	yes	—
86	C₂×#10596842	C₂×D₄	1	2	yes	—
87	C₂²×#64408	—	2	2	no	—
88	C₂²×#64408	—	2	2	no	—
89	C₂²×#64408	C₂×D₄	1	1	yes	characteristic
90	C₂²×#64408	#41	1	1	yes	characteristic
91	#11924036	—	2	1	no	—
92	#11924036	C₂²×C₄	1	1	yes	characteristic
93	#11924036	C₂²×C₄	1	1	yes	characteristic
94	C₂×#10596833	—	2	1	no	—
95	C₄⋊#64408	—	2	2	no	—
96	C₄⋊#64408	—	2	2	no	—
97	C₄⋊#64408	C₂²×C₄	1	2	yes	—
98	C₄⋊#64408	C₂²×C₄	1	2	yes	—
99	C₂²⋊#64408	—	2	2	no	—
100	C₂²⋊#64408	—	2	2	no	—
101	C₂²⋊#64408	—	2	2	no	—
102	C₄×#64408	—	2	2	no	—
103	C₄×#64408	—	2	2	no	—
104	C₄×#64408	—	2	2	no	—
105	C₄×#64408	C₂²×C₄	1	1	yes	characteristic
106	C₄×#64408	C₂×D₄	1	1	yes	characteristic
107	C₄×#64408	#41	1	1	yes	characteristic
108	C₄×#64408	C₂⁴	1	1	yes	characteristic
109	#11924029	C₂×C₈	1	2	yes	complemented
110	#11924028	—	2	2	no	—
111	#11924028	C₂×C₈	1	2	yes	complemented
112	#11924027	—	2	2	no	—
113	#11924027	C₂×C₈	1	2	yes	complemented
114	Q₈×D₇₃	C₂²×C₄	1	2	yes	—
115	D₄×D₇₃	—	2	2	no	—
116	D₄×D₇₃	C₂²×C₄	1	2	yes	—
117	C₂×C₄×D₇₃	—	2	2	no	—
118	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
119	Dic₂₉₂	C₂×C₈	1	1	yes	characteristic, complemented
120	#11924018	C₂×C₈	1	2	yes	complemented
121	#11924017	C₂×C₈	1	2	yes	complemented
122	#11924016	C₂×C₈	1	2	yes	complemented
123	#11924015	C₂×C₈	1	2	yes	complemented
124	D₅₈₄	C₂×C₈	1	1	yes	characteristic, complemented
125	#11924013	C₂×C₈	1	2	yes	complemented
126	C₂×#10596831	C₂×C₈	1	1	yes	characteristic, complemented
127	C₈×D₇₃	C₂×C₈	1	1	yes	characteristic, complemented
128	C₈×D₇₃	C₂×C₈	1	1	yes	characteristic, complemented
129	C₈×D₇₃	C₂²×C₄	1	1	yes	characteristic
130	C₈×D₇₃	C₂²×C₄	1	1	yes	characteristic
131	#41×C₇₃	C₂×C₈	1	2	yes	complemented
132	Q₁₆×C₇₃	C₂×C₈	1	1	yes	characteristic, complemented
133	SD₁₆×C₇₃	C₂×C₈	1	2	yes	complemented
134	D₈×C₇₃	C₂×C₈	1	1	yes	characteristic, complemented
135	C₂×C₈×C₇₃	C₂×C₈	1	1	yes	characteristic, complemented
136	C₂²×D₇₃	—	2	2	no	—
137	C₂²×D₇₃	C₄×D₄	1	1	yes	characteristic
138	C₂×#64408	—	2	1	no	—
139	C₂×#64408	—	2	1	no	—
140	C₂×#64408	—	2	2	no	—
141	C₂×#64408	—	2	2	no	—
142	C₂×#64408	—	4	1	no	—
143	C₂×#64408	—	4	2	no	—
144	C₂×#64408	—	4	2	no	—
145	C₂×#64408	—	8	2	no	—
146	C₂×#64408	C₄×D₄	1	1	yes	characteristic
147	C₂×#64408	C₄×D₄	1	1	yes	characteristic
148	C₂×#64408	C₂²×D₄	1	1	yes	characteristic
149	C₂×#64408	C₂×#41	1	1	yes	characteristic
150	#10596842	—	2	2	no	—
151	#10596842	—	2	2	no	—
152	#10596842	—	4	2	no	—
153	#10596842	—	4	4	no	—
154	Q₈×C₇₃	C₂²×C₈	1	2	yes	—
155	D₄×C₇₃	—	2	2	no	—
156	D₄×C₇₃	C₂²×C₈	1	2	yes	—
157	C₂×C₄×C₇₃	—	2	2	no	—
158	C₂×C₄×C₇₃	C₂²×C₈	1	1	yes	characteristic
159	C₂²⋊D₇₃	—	2	2	no	—
160	C₂²⋊D₇₃	—	2	2	no	—
161	C₂²⋊D₇₃	—	2	2	no	—
162	C₂×Dic₇₃	—	2	2	no	—
163	C₂×Dic₇₃	#131	1	1	yes	characteristic
164	D₂₉₂	—	2	2	no	—
165	D₂₉₂	C₂²×C₈	1	2	yes	—
166	C₄×D₇₃	—	2	2	no	—
167	C₄×D₇₃	—	2	2	no	—
168	C₄×D₇₃	—	2	2	no	—
169	C₄×D₇₃	C₄×D₄	1	1	yes	characteristic
170	C₄×D₇₃	C₂²×C₈	1	1	yes	characteristic
171	C₄×D₇₃	#131	1	1	yes	characteristic
172	C₄×D₇₃	C₂³×C₄	1	1	yes	characteristic
173	Dic₁₄₆	—	2	2	no	—
174	Dic₁₄₆	C₂²×C₈	1	2	yes	—
175	#10596833	—	2	1	no	—
176	#10596833	—	2	1	no	—
177	C₈×C₇₃	C₂²×C₈	1	1	yes	characteristic
178	C₈×C₇₃	C₂²×C₈	1	1	yes	characteristic
179	#10596831	C₂²×C₈	1	1	yes	characteristic
180	#10596831	C₂²×C₈	1	1	yes	characteristic
181	C₂²×C₇₃	—	2	2	no	—
182	C₂²×C₇₃	C₈×D₄	1	1	yes	characteristic
183	C₂×D₇₃	—	2	1	no	—
184	C₂×D₇₃	—	2	1	no	—
185	C₂×D₇₃	—	2	2	no	—
186	C₂×D₇₃	—	4	2	no	—
187	C₂×D₇₃	—	4	2	no	—
188	C₂×D₇₃	C₈×D₄	1	1	yes	characteristic
189	C₂×D₇₃	C₂×C₄×D₄	1	1	yes	characteristic
190	#64408	—	2	1	no	—
191	#64408	—	2	1	no	—
192	#64408	—	2	1	no	—
193	#64408	—	4	2	no	—
194	#64408	—	4	2	no	—
195	#64408	#576	1	1	yes	characteristic
196	#64408	#578	1	1	yes	characteristic
197	C₄×C₇₃	—	2	2	no	—
198	C₄×C₇₃	C₈×D₄	1	1	yes	characteristic
199	C₄×C₇₃	C₂³×C₈	1	1	yes	characteristic
200	Dic₇₃	—	2	2	no	—
201	Dic₇₃	C₈×D₄	1	1	yes	characteristic
202	Dic₇₃	C₂×#131	1	1	yes	characteristic
203	#17857	—	73	1	no	maximal, Sylow
204	C₂×C₇₃	—	2	1	no	—
205	C₂×C₇₃	—	4	2	no	—
206	C₂×C₇₃	C₂×C₈×D₄	1	1	yes	characteristic
207	D₇₃	—	2	1	no	—
208	D₇₃	—	4	2	no	—
209	D₇₃	#2951	1	1	yes	characteristic
210	D₇₃	#2957	1	1	yes	characteristic
211	#2988	—	73	2	no	—
212	C₄×#135	—	73	1	no	—
213	SD₁₆⋊C₈	—	73	4	no	—
214	C₈×Q₁₆	—	73	2	no	—
215	C₈×D₈	—	73	2	no	—
216	C₂×#335	—	73	1	no	—
217	#1477	—	73	2	no	—
218	#1450	—	73	1	no	—
219	C₇₃	#17857	1	1	yes	characteristic, complemented, Sylow
220	C₂×#135	—	73	1	no	—
221	C₄×#41	—	73	2	no	—
222	C₈×Q₈	—	73	4	no	—
223	C₄×Q₁₆	—	73	1	no	—
224	C₄×Q₁₆	—	73	1	no	—
225	C₄×SD₁₆	—	73	2	no	—
226	C₄×SD₁₆	—	73	2	no	—
227	C₄×D₈	—	73	1	no	—
228	C₄×D₈	—	73	1	no	—
229	C₈×D₄	—	73	4	no	—
230	C₈×D₄	—	146	4	no	—
231	#431	—	73	1	no	—
232	#431	—	73	1	no	—
233	#431	—	146	2	no	—
234	#427	—	73	1	no	—
235	C₂×C₄⋊C₈	—	73	2	no	—
236	C₂×C₄⋊C₈	—	146	2	no	—
237	#416	—	73	2	no	—
238	C₂×C₄×C₈	—	73	1	no	—
239	#335	—	73	2	no	—
240	#335	—	73	2	no	—
241	Q₈⋊C₈	—	73	4	no	—
242	D₄⋊C₈	—	73	4	no	—
243	#322	—	73	2	no	—
244	C₈²	—	73	2	no	—
245	C₂×#41	—	73	2	no	—
246	#135	—	73	2	no	—
247	#135	—	73	1	no	—
248	#135	—	73	2	no	—
249	#135	—	73	1	no	—
250	#135	—	73	1	no	—
251	#135	#10596842	1	1	yes	characteristic, complemented
252	C₂×Q₁₆	—	73	1	no	—
253	C₂×SD₁₆	—	73	2	no	—
254	C₂×D₈	—	73	1	no	—
255	C₂²×C₈	—	73	1	no	—
256	C₂²×C₈	—	73	1	no	—
257	C₂²×C₈	—	146	4	no	—
258	C₂²×C₈	—	146	2	no	—
259	C₄×Q₈	—	73	2	no	—
260	C₄×Q₈	—	73	2	no	—
261	C₄×D₄	—	73	2	no	—
262	C₄×D₄	—	73	2	no	—
263	C₄×D₄	—	146	2	no	—
264	C₄×D₄	—	146	2	no	—
265	#117	—	73	2	no	—
266	#117	—	146	2	no	—
267	C₂×C₄²	—	73	1	no	—
268	C₂×C₄²	—	146	2	no	—
269	#107	—	73	1	no	—
270	#107	—	73	1	no	—
271	#106	—	73	2	no	—
272	C₄⋊C₈	—	73	1	no	—
273	C₄⋊C₈	—	73	1	no	—
274	C₄⋊C₈	—	73	4	no	—
275	C₄⋊C₈	—	146	2	no	—
276	C₄⋊C₈	—	146	1	no	—
277	C₄⋊C₈	—	146	4	no	—
278	#103	—	73	2	no	—
279	#103	—	73	2	no	—
280	#102	—	73	2	no	—
281	#102	—	73	2	no	—
282	C₂²⋊C₈	—	73	2	no	—
283	C₂²⋊C₈	—	146	4	no	—
284	C₂²⋊C₈	—	146	1	no	—
285	C₄×C₈	—	73	2	no	—
286	C₄×C₈	—	73	1	no	—
287	C₄×C₈	—	73	1	no	—
288	C₄×C₈	—	73	1	no	—
289	C₄×C₈	—	73	1	no	—
290	C₄×C₈	—	73	2	no	—
291	C₄×C₈	—	146	4	no	—
292	#41	—	73	2	no	—
293	#41	—	73	2	no	—
294	#41	—	73	2	no	—
295	#41	—	146	2	no	—
296	#41	—	146	2	no	—
297	#41	C₂×#10596842	1	2	yes	complemented
298	C₂×Q₈	—	73	2	no	—
299	C₂×D₄	—	73	2	no	—
300	C₂×D₄	—	146	2	no	—
301	C₂²×C₄	—	73	1	no	—
302	C₂²×C₄	—	73	1	no	—
303	C₂²×C₄	—	73	1	no	—
304	C₂²×C₄	—	146	2	no	—
305	C₂²×C₄	—	146	2	no	—
306	C₂²×C₄	—	146	2	no	—
307	Q₁₆	—	73	2	no	—
308	Q₁₆	—	73	1	no	—
309	Q₁₆	C₂×#10596842	1	1	yes	characteristic, complemented
310	SD₁₆	—	73	2	no	—
311	SD₁₆	—	73	2	no	—
312	SD₁₆	—	73	2	no	—
313	SD₁₆	C₂×#10596842	1	2	yes	complemented
314	D₈	—	73	2	no	—
315	D₈	—	73	1	no	—
316	D₈	C₂×#10596842	1	1	yes	characteristic, complemented
317	C₂×C₈	—	584	2	no	—
318	C₂×C₈	—	584	4	no	—
319	C₂×C₈	—	73	1	no	—
320	C₂×C₈	—	73	1	no	—
321	C₂×C₈	—	73	1	no	—
322	C₂×C₈	—	73	1	no	—
323	C₂×C₈	—	73	1	no	—
324	C₂×C₈	—	73	1	no	—
325	C₂×C₈	—	73	1	no	—
326	C₂×C₈	—	73	2	no	—
327	C₂×C₈	—	73	2	no	—
328	C₂×C₈	—	146	2	no	—
329	C₂×C₈	—	146	4	no	—
330	C₂×C₈	—	146	1	no	—
331	C₂×C₈	—	146	1	no	—
332	C₂×C₈	C₂×#10596842	1	1	yes	characteristic, complemented
333	C₄⋊C₄	—	73	2	no	—
334	C₄⋊C₄	—	73	2	no	—
335	C₄⋊C₄	—	146	2	no	—
336	C₄⋊C₄	—	146	2	no	—
337	C₂²⋊C₄	—	146	2	no	—
338	C₂²⋊C₄	—	146	2	no	—
339	C₂²⋊C₄	—	146	2	no	—
340	C₄²	—	73	1	no	—
341	C₄²	—	73	1	no	—
342	C₄²	—	73	1	no	—
343	C₄²	—	73	1	no	—
344	C₄²	—	146	2	no	—
345	C₄²	—	146	2	no	—
346	C₄²	—	146	2	no	—
347	C₂³	—	73	1	no	—
348	C₂³	—	146	2	no	—
349	Q₈	—	73	2	no	—
350	Q₈	—	146	2	no	—
351	Q₈	C₂²×#10596842	1	2	yes	—
352	D₄	—	2	2	no	—
353	D₄	—	73	2	no	—
354	D₄	—	146	2	no	—
355	D₄	—	146	2	no	—
356	D₄	—	146	2	no	—
357	D₄	—	146	2	no	—
358	D₄	C₂²×#10596842	1	2	yes	—
359	C₂×C₄	—	2	2	no	—
360	C₂×C₄	—	292	2	no	—
361	C₂×C₄	—	292	2	no	—
362	C₂×C₄	—	292	1	no	—
363	C₂×C₄	—	584	2	no	—
364	C₂×C₄	—	73	1	no	—
365	C₂×C₄	—	73	1	no	—
366	C₂×C₄	—	73	1	no	—
367	C₂×C₄	—	73	1	no	—
368	C₂×C₄	—	73	1	no	—
369	C₂×C₄	—	73	1	no	—
370	C₂×C₄	—	73	1	no	—
371	C₂×C₄	—	73	1	no	—
372	C₂×C₄	—	73	1	no	—
373	C₂×C₄	—	146	2	no	—
374	C₂×C₄	—	146	2	no	—
375	C₂×C₄	—	146	2	no	—
376	C₂×C₄	—	146	2	no	—
377	C₂×C₄	—	146	2	no	—
378	C₂×C₄	—	146	1	no	—
379	C₂×C₄	—	146	1	no	—
380	C₂×C₄	—	146	2	no	—
381	C₂×C₄	C₂²×#10596842	1	1	yes	characteristic
382	C₈	—	292	4	no	—
383	C₈	—	292	2	no	—
384	C₈	—	73	1	no	—
385	C₈	—	73	1	no	—
386	C₈	—	146	2	no	—
387	C₈	—	146	1	no	—
388	C₈	—	146	1	no	—
389	C₈	—	146	2	no	—
390	C₈	C₂²×#10596842	1	1	yes	characteristic
391	C₈	C₂²×#10596842	1	1	yes	characteristic
392	C₂²	—	2	2	no	—
393	C₂²	—	292	2	no	—
394	C₂²	—	292	2	no	—
395	C₂²	—	73	1	no	—
396	C₂²	—	73	1	no	—
397	C₂²	—	146	1	no	—
398	C₂²	—	146	1	no	—
399	C₂²	—	146	2	no	—
400	C₂²	D₄×#10596842	1	1	yes	characteristic
401	C₄	—	2	2	no	—
402	C₄	—	292	2	no	—
403	C₄	—	292	2	no	—
404	C₄	—	73	1	no	—
405	C₄	—	73	1	no	—
406	C₄	—	73	1	no	—
407	C₄	—	73	1	no	—
408	C₄	—	146	1	no	—
409	C₄	—	146	1	no	—
410	C₄	—	146	1	no	—
411	C₄	—	146	2	no	—
412	C₄	D₄×#10596842	1	1	yes	characteristic
413	C₄	C₂³×#10596842	1	1	yes	characteristic
414	C₂	—	2	1	no	—
415	C₂	—	4	2	no	—
416	C₂	—	292	2	no	—
417	C₂	—	73	1	no	—
418	C₂	—	73	1	no	—
419	C₂	—	146	1	no	—
420	C₂	C₂×D₄×#10596842	1	1	yes	characteristic

	subgroup	G/H
center	C₂	C₂×D₄×#10596842
commutator	C₄×C₇₃	C₂³×C₈
Frattini	C₄	C₂³×#10596842
Fitting	#135×C₇₃	C₈
socle	C₂×C₇₃	C₂×C₈×D₄
prime radical	#135×D₇₃	C₄
cosocle	C₄×#64408	C₂⁴
hypercenter	#135	#10596842
hypocenter	C₇₃	#17857
LCS	G ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ #135

Complements

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

N	H ≅ G/N	type
1. #22627175	C₂	semidirect
2. SD₁₆⋊#10596842	C₂	semidirect
3. Q₁₆×#10596842	C₂	semidirect
4. D₈×#10596842	C₂	semidirect
5. C₂×#17989677	C₂	semidirect
6. #22627050	C₂	semidirect
7. #22627040	C₂	semidirect
71. #14556614	C₈	semidirect
72. #14556613	C₈	semidirect
73. #14556612	C₈	semidirect
74. #14556611	C₈	semidirect
75. #14556610	C₈	semidirect
80. #135×C₇₃	C₈	semidirect
109. #11924029	C₂×C₈	semidirect
111. #11924028	C₂×C₈	semidirect
113. #11924027	C₂×C₈	semidirect
119. Dic₂₉₂	C₂×C₈	semidirect
120. #11924018	C₂×C₈	semidirect
121. #11924017	C₂×C₈	semidirect
122. #11924016	C₂×C₈	semidirect
123. #11924015	C₂×C₈	semidirect
124. D₅₈₄	C₂×C₈	semidirect
125. #11924013	C₂×C₈	semidirect
126. C₂×#10596831	C₂×C₈	semidirect
127. C₈×D₇₃	C₂×C₈	semidirect
128. C₈×D₇₃	C₂×C₈	semidirect
131. #41×C₇₃	C₂×C₈	semidirect
132. Q₁₆×C₇₃	C₂×C₈	semidirect
133. SD₁₆×C₇₃	C₂×C₈	semidirect
134. D₈×C₇₃	C₂×C₈	semidirect
135. C₂×C₈×C₇₃	C₂×C₈	semidirect
219. C₇₃	#17857	semidirect
251. #135	#10596842	semidirect
297. #41	C₂×#10596842	semidirect
309. Q₁₆	C₂×#10596842	semidirect
313. SD₁₆	C₂×#10596842	semidirect
316. D₈	C₂×#10596842	semidirect
332. C₂×C₈	C₂×#10596842	semidirect

Maximal subgroups

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

subgroup	index
#22627175	2
SD₁₆⋊#10596842	2
Q₁₆×#10596842	2
D₈×#10596842	2
C₂×#17989677	2
#22627050	2
#22627040	2
#135×#64408	2
#17857	73