Subgroups — #34444933

Order 20224.

718 conjugacy classes of subgroups.

The subgroup lattice has 394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#19098992	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₁₆×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#23775086	C₂	1	2	yes	maximal, complemented
4	#23765661	C₂	1	1	yes	maximal, characteristic, complemented
5	#23765492	C₂	1	1	yes	maximal, characteristic, complemented
6	#23765487	C₂	1	1	yes	maximal, characteristic, complemented
7	#23765455	C₂	1	2	yes	maximal, complemented
8	#23765330	C₂	1	2	yes	maximal, complemented
9	#23765324	C₂	1	2	yes	maximal, complemented
10	C₁₆×D₃₁₆	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄×D₁₆×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#14579180	C₂²	1	2	yes	complemented
13	C₂×D₈×D₇₉	C₂²	1	2	yes	—
14	#19099208	—	2	2	no	—
15	#19098992	—	2	4	no	—
16	C₂×Dic₆₃₂	C₂²	1	1	yes	characteristic, complemented
17	C₂×#14579106	C₂²	1	2	yes	complemented
18	C₂×#14579105	C₂²	1	2	yes	complemented
19	C₂×D₁₂₆₄	C₂²	1	1	yes	characteristic
20	C₂×#14579102	C₂²	1	2	yes	—
21	D₁₆×D₇₉	—	2	4	no	—
22	C₂×C₁₆×D₇₉	C₂²	1	1	yes	characteristic
23	C₂×C₁₆×D₇₉	C₂²	1	1	yes	characteristic, complemented
24	#19098947	C₂²	1	2	yes	complemented
25	#19098805	C₂²	1	2	yes	—
26	#19098800	C₂²	1	2	yes	complemented
27	#19098778	—	2	2	no	—
28	#19098715	—	2	2	no	—
29	#19098709	—	2	2	no	—
30	C₈×D₃₁₆	C₂²	1	1	yes	characteristic
31	C₄⋊(C₇₉⋊C₁₆)	C₂²	1	1	yes	characteristic, complemented
32	#19098366	C₂²	1	2	yes	complemented
33	#19098363	C₂²	1	2	yes	complemented
34	(C₂×D₇₉)⋊C₁₆	C₂²	1	1	yes	characteristic
35	(C₂×D₇₉)⋊C₁₆	C₂²	1	1	yes	characteristic, complemented
36	C₂×D₁₆×C₇₉	C₂²	1	1	yes	characteristic
37	C₄×D₈×C₇₉	C₂²	1	2	yes	complemented
38	#366×C₇₉	C₂²	1	1	yes	characteristic, complemented
39	#357×C₇₉	C₂²	1	2	yes	complemented
40	C₄×C₁₆×C₇₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×#11929623	—	2	2	no	—
42	C₂×D₄×D₇₉	—	2	2	no	—
43	#14579180	—	2	4	no	—
44	#14579180	—	4	2	no	—
45	C₂×Dic₃₁₆	C₂³	1	2	yes	—
46	C₂×#11929613	—	2	2	no	—
47	C₂×#11929612	—	2	2	no	—
48	C₂×D₆₃₂	C₂³	1	2	yes	—
49	C₂×#11929609	—	2	2	no	—
50	D₈×D₇₉	—	2	4	no	—
51	D₈×D₇₉	—	4	2	no	—
52	C₂×C₈×D₇₉	C₂³	1	1	yes	characteristic
53	C₂×C₈×D₇₉	C₂³	1	1	yes	characteristic
54	#14579149	—	2	2	no	—
55	#14579145	—	4	2	no	—
56	#14579141	—	2	2	no	—
57	#14579136	—	2	2	no	—
58	#14579135	—	4	2	no	—
59	#14579131	—	4	2	no	—
60	C₄×D₃₁₆	D₄	1	1	yes	characteristic
61	C₂×(C₂×D₇₉)⋊C₄	—	4	2	no	—
62	Dic₆₃₂	—	2	2	no	—
63	#14579106	—	4	2	no	—
64	#14579105	—	2	4	no	—
65	D₁₂₆₄	—	2	2	no	—
66	#14579102	—	2	4	no	—
67	C₂×C₇₉⋊C₁₆	C₂³	1	1	yes	characteristic
68	C₂×C₇₉⋊C₁₆	C₂³	1	1	yes	characteristic
69	C₁₆×D₇₉	—	2	2	no	—
70	C₁₆×D₇₉	—	2	2	no	—
71	C₄⋊(C₇₉⋊C₈)	D₄	1	1	yes	characteristic
72	#14579084	—	2	2	no	—
73	#14579081	—	2	2	no	—
74	(C₂×D₇₉)⋊C₈	D₄	1	1	yes	characteristic
75	(C₂×D₇₉)⋊C₈	D₄	1	1	yes	characteristic
76	C₂×D₈×C₇₉	C₂³	1	2	yes	—
77	C₄×D₄×C₇₉	—	2	2	no	—
78	D₁₆×C₇₉	D₄	1	4	yes	complemented
79	C₂×C₁₆×C₇₉	C₂³	1	1	yes	characteristic
80	C₂×C₁₆×C₇₉	C₂³	1	1	yes	characteristic
81	#107×C₇₉	C₂³	1	2	yes	—
82	#102×C₇₉	—	2	2	no	—
83	C₄×C₈×C₇₉	C₂³	1	1	yes	characteristic
84	C₂³×D₇₉	—	4	2	no	—
85	#11929623	—	4	4	no	—
86	#11929623	—	8	2	no	—
87	C₂×Dic₁₅₈	—	2	2	no	—
88	C₂×D₃₁₆	—	2	2	no	—
89	C₂×D₃₁₆	—	4	2	no	—
90	C₂×D₃₁₆	D₈	1	1	yes	characteristic
91	C₂×C₂²⋊D₇₉	—	4	2	no	—
92	C₂×C₂²⋊D₇₉	—	4	2	no	—
93	D₄×D₇₉	—	4	4	no	—
94	D₄×D₇₉	—	8	2	no	—
95	C₂²×Dic₇₉	—	4	2	no	—
96	C₂×C₄×D₇₉	C₂×D₄	1	1	yes	characteristic
97	C₂×C₄×D₇₉	C₂×D₄	1	1	yes	characteristic
98	Dic₃₁₆	—	2	2	no	—
99	Dic₃₁₆	—	2	2	no	—
100	#11929613	—	8	2	no	—
101	#11929612	—	4	4	no	—
102	D₆₃₂	—	2	2	no	—
103	D₆₃₂	—	2	2	no	—
104	#11929609	—	4	4	no	—
105	C₂×C₇₉⋊C₈	C₂×D₄	1	1	yes	characteristic
106	C₂×C₇₉⋊C₈	C₂×D₄	1	1	yes	characteristic
107	C₈×D₇₉	—	2	1	no	—
108	C₈×D₇₉	—	2	1	no	—
109	C₈×D₇₉	—	2	1	no	—
110	C₈×D₇₉	—	2	1	no	—
111	C₄⋊Dic₇₉	—	4	2	no	—
112	C₄⋊Dic₇₉	D₈	1	1	yes	characteristic
113	(C₂×D₇₉)⋊C₄	—	4	2	no	—
114	(C₂×D₇₉)⋊C₄	—	4	2	no	—
115	(C₂×D₇₉)⋊C₄	—	4	2	no	—
116	(C₂×D₇₉)⋊C₄	—	4	2	no	—
117	(C₂×D₇₉)⋊C₄	D₈	1	1	yes	characteristic
118	(C₂×D₇₉)⋊C₄	D₈	1	1	yes	characteristic
119	C₇₉⋊C₁₆	—	2	1	no	—
120	C₇₉⋊C₁₆	—	2	1	no	—
121	C₂×D₄×C₇₉	—	2	2	no	—
122	C₂²×C₄×C₇₉	—	4	2	no	—
123	D₈×C₇₉	—	2	2	no	—
124	D₈×C₇₉	C₂×D₄	1	4	yes	—
125	C₂×C₈×C₇₉	C₂×D₄	1	1	yes	characteristic
126	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
127	C₄⋊C₄×C₇₉	—	2	2	no	—
128	C₂²⋊C₄×C₇₉	—	4	2	no	—
129	C₄²×C₇₉	C₂×D₄	1	1	yes	characteristic
130	C₁₆×C₇₉	—	2	1	no	—
131	C₁₆×C₇₉	C₂×D₄	1	2	yes	—
132	C₂³×C₇₉	—	4	2	no	—
133	C₂²×D₇₉	—	4	2	no	—
134	C₂²×D₇₉	—	8	4	no	—
135	C₂²×D₇₉	—	8	4	no	—
136	C₂²×D₇₉	—	16	2	no	—
137	C₂²×D₇₉	C₂×D₈	1	1	yes	characteristic
138	C₂²×D₇₉	C₂×D₈	1	1	yes	characteristic
139	D₄×C₇₉	—	2	4	no	—
140	D₄×C₇₉	—	4	2	no	—
141	C₂×C₄×C₇₉	—	4	2	no	—
142	C₂×C₄×C₇₉	—	16	2	no	—
143	C₂×C₄×C₇₉	C₂×D₈	1	1	yes	characteristic
144	C₂×C₄×C₇₉	C₂×D₈	1	1	yes	characteristic
145	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
146	C₂²⋊D₇₉	—	8	4	no	—
147	C₂²⋊D₇₉	—	8	4	no	—
148	C₂×Dic₇₉	—	4	2	no	—
149	C₂×Dic₇₉	—	8	4	no	—
150	C₂×Dic₇₉	C₂×D₈	1	1	yes	characteristic
151	C₂×Dic₇₉	C₂×D₈	1	1	yes	characteristic
152	D₃₁₆	—	2	2	no	—
153	D₃₁₆	—	4	2	no	—
154	D₃₁₆	—	4	2	no	—
155	D₃₁₆	—	16	2	no	—
156	C₄×D₇₉	—	2	1	no	—
157	C₄×D₇₉	—	2	1	no	—
158	C₄×D₇₉	—	2	1	no	—
159	C₄×D₇₉	—	2	1	no	—
160	Dic₁₅₈	—	4	2	no	—
161	Dic₁₅₈	—	4	2	no	—
162	C₈×C₇₉	—	2	1	no	—
163	C₈×C₇₉	C₂²×D₄	1	1	yes	characteristic
164	C₈×C₇₉	H(5,𝔽₂)	1	1	yes	characteristic
165	C₇₉⋊C₈	—	2	1	no	—
166	C₇₉⋊C₈	—	2	1	no	—
167	C₂²×C₇₉	—	4	4	no	—
168	C₂²×C₇₉	—	8	2	no	—
169	C₂²×C₇₉	—	8	2	no	—
170	C₂²×C₇₉	C₂²×D₈	1	1	yes	characteristic
171	C₂×D₇₉	—	2	1	no	—
172	C₂×D₇₉	—	2	1	no	—
173	C₂×D₇₉	—	2	1	no	—
174	C₂×D₇₉	—	2	1	no	—
175	C₂×D₇₉	—	2	1	no	—
176	C₂×D₇₉	—	8	2	no	—
177	C₂×D₇₉	—	8	2	no	—
178	C₂×D₇₉	—	8	2	no	—
179	C₂×D₇₉	—	16	8	no	—
180	C₂×D₇₉	#508	1	2	yes	complemented
181	C₄×C₇₉	—	2	1	no	—
182	C₄×C₇₉	—	2	1	no	—
183	C₄×C₇₉	—	8	2	no	—
184	C₄×C₇₉	D₄²	1	1	yes	characteristic
185	C₄×C₇₉	#576	1	1	yes	characteristic
186	Dic₇₉	—	2	1	no	—
187	Dic₇₉	—	2	1	no	—
188	Dic₇₉	—	8	2	no	—
189	#33846	—	79	1	no	maximal, Sylow
190	C₂×C₇₉	—	8	4	no	—
191	C₂×C₇₉	D₄×D₈	1	1	yes	characteristic
192	C₂×C₇₉	C₂×#508	1	1	yes	characteristic
193	C₂×C₇₉	#3415	1	1	yes	characteristic
194	D₇₉	—	2	2	no	—
195	D₇₉	—	4	1	no	—
196	D₇₉	—	16	2	no	—
197	C₂×#508	—	79	1	no	—
198	C₂²×D₁₆	—	79	1	no	—
199	#3280	—	79	2	no	—
200	#2249	—	79	1	no	—
201	#2216	—	79	1	no	—
202	#2215	—	79	1	no	—
203	#2210	—	79	2	no	—
204	#2187	—	79	2	no	—
205	#2186	—	79	2	no	—
206	C₄×D₁₆	D₇₉	1	1	yes	characteristic, complemented
207	D₄×C₁₆	—	79	1	no	—
208	C₇₉	#33846	1	1	yes	characteristic, complemented, Sylow
209	C₂×#135	—	79	2	no	—
210	C₂²×D₈	—	79	2	no	—
211	#546	—	158	2	no	—
212	#508	—	158	4	no	—
213	C₂×Q₃₂	—	79	1	no	—
214	C₂×SD₃₂	—	79	2	no	—
215	C₂×SD₃₂	—	79	2	no	—
216	C₂×D₁₆	—	79	2	no	—
217	C₂×D₁₆	—	79	1	no	—
218	C₂×D₁₆	—	158	4	no	—
219	C₂×D₁₆	C₂×D₇₉	1	1	yes	characteristic
220	C₂²×C₁₆	—	79	1	no	—
221	C₂²×C₁₆	—	79	1	no	—
222	#495	—	79	2	no	—
223	#467	—	79	2	no	—
224	#466	—	79	2	no	—
225	#463	—	158	2	no	—
226	#450	—	158	2	no	—
227	#449	—	158	2	no	—
228	C₄×D₈	C₂×D₇₉	1	2	yes	complemented
229	C₈×D₄	—	79	1	no	—
230	#366	C₂×D₇₉	1	1	yes	characteristic, complemented
231	C₄⋊C₁₆	—	79	1	no	—
232	#358	—	79	2	no	—
233	#357	—	79	2	no	—
234	#357	C₂×D₇₉	1	2	yes	complemented
235	C₂²⋊C₁₆	—	79	1	no	—
236	C₂²⋊C₁₆	—	79	1	no	—
237	C₄×C₁₆	C₂×D₇₉	1	1	yes	characteristic, complemented
238	C₂×#41	—	158	2	no	—
239	C₂²×D₄	—	158	2	no	—
240	#135	—	316	2	no	—
241	#135	—	158	4	no	—
242	C₂×Q₁₆	—	79	2	no	—
243	C₂×SD₁₆	—	158	2	no	—
244	C₂×SD₁₆	—	158	2	no	—
245	C₂×D₈	—	316	2	no	—
246	C₂×D₈	—	79	2	no	—
247	C₂×D₈	—	158	2	no	—
248	C₂×D₈	—	158	4	no	—
249	C₂×D₈	C₂²×D₇₉	1	2	yes	—
250	C₂²×C₈	—	79	1	no	—
251	C₂²×C₈	—	79	1	no	—
252	#124	—	158	2	no	—
253	#123	—	316	2	no	—
254	C₂²⋊Q₈	—	158	2	no	—
255	#121	—	316	2	no	—
256	#121	—	158	2	no	—
257	#120	—	316	2	no	—
258	C₄×D₄	—	2	2	no	—
259	C₄×D₄	—	79	1	no	—
260	C₂×C₂²⋊C₄	—	316	2	no	—
261	Q₃₂	—	158	2	no	—
262	SD₃₂	—	316	2	no	—
263	SD₃₂	—	158	4	no	—
264	D₁₆	—	158	4	no	—
265	D₁₆	—	158	2	no	—
266	D₁₆	D₃₁₆	1	4	yes	complemented
267	C₂×C₁₆	—	79	1	no	—
268	C₂×C₁₆	—	79	1	no	—
269	C₂×C₁₆	—	158	2	no	—
270	C₂×C₁₆	—	158	2	no	—
271	C₂×C₁₆	C₂²×D₇₉	1	1	yes	characteristic
272	C₂×C₁₆	C₂²×D₇₉	1	1	yes	characteristic
273	#107	C₂²×D₇₉	1	2	yes	—
274	C₄⋊C₈	—	79	1	no	—
275	#103	—	158	2	no	—
276	#102	—	2	2	no	—
277	#102	—	158	2	no	—
278	C₂²⋊C₈	—	79	1	no	—
279	C₂²⋊C₈	—	79	1	no	—
280	C₄×C₈	C₂²×D₇₉	1	1	yes	characteristic
281	C₂⁴	—	316	2	no	—
282	#41	—	316	4	no	—
283	#41	—	632	2	no	—
284	C₂×Q₈	—	158	2	no	—
285	C₂×D₄	—	2	2	no	—
286	C₂×D₄	—	316	2	no	—
287	C₂×D₄	—	316	2	no	—
288	C₂×D₄	—	316	2	no	—
289	C₂×D₄	—	316	4	no	—
290	C₂×D₄	—	79	1	no	—
291	C₂×D₄	—	632	2	no	—
292	C₂×D₄	—	158	2	no	—
293	C₂²×C₄	—	4	2	no	—
294	C₂²×C₄	—	316	2	no	—
295	C₂²×C₄	—	79	1	no	—
296	C₂²×C₄	—	79	1	no	—
297	Q₁₆	—	158	2	no	—
298	Q₁₆	—	158	2	no	—
299	SD₁₆	—	316	4	no	—
300	SD₁₆	—	632	2	no	—
301	D₈	—	2	2	no	—
302	D₈	—	316	4	no	—
303	D₈	—	158	2	no	—
304	D₈	—	158	2	no	—
305	D₈	C₂×D₃₁₆	1	4	yes	—
306	C₂×C₈	—	79	1	no	—
307	C₂×C₈	—	79	1	no	—
308	C₂×C₈	—	158	1	no	—
309	C₂×C₈	—	158	1	no	—
310	C₂×C₈	—	158	1	no	—
311	C₂×C₈	—	158	1	no	—
312	C₂×C₈	D₄×D₇₉	1	1	yes	characteristic
313	C₂×C₈	C₂³×D₇₉	1	1	yes	characteristic
314	C₄⋊C₄	—	2	2	no	—
315	C₄⋊C₄	—	316	2	no	—
316	C₄⋊C₄	—	79	1	no	—
317	C₂²⋊C₄	—	4	2	no	—
318	C₂²⋊C₄	—	316	2	no	—
319	C₂²⋊C₄	—	316	2	no	—
320	C₂²⋊C₄	—	316	2	no	—
321	C₂²⋊C₄	—	316	2	no	—
322	C₂²⋊C₄	—	79	1	no	—
323	C₂²⋊C₄	—	79	1	no	—
324	C₄²	D₄×D₇₉	1	1	yes	characteristic
325	C₁₆	—	2	1	no	—
326	C₁₆	—	158	1	no	—
327	C₁₆	—	158	1	no	—
328	C₁₆	C₂×D₃₁₆	1	2	yes	—
329	C₂³	—	4	2	no	—
330	C₂³	—	316	2	no	—
331	C₂³	—	79	1	no	—
332	C₂³	—	79	1	no	—
333	C₂³	—	632	4	no	—
334	C₂³	—	632	4	no	—
335	C₂³	—	1264	2	no	—
336	Q₈	—	316	2	no	—
337	Q₈	—	316	2	no	—
338	D₄	—	2	4	no	—
339	D₄	—	4	2	no	—
340	D₄	—	316	2	no	—
341	D₄	—	316	2	no	—
342	D₄	—	632	4	no	—
343	D₄	—	632	4	no	—
344	D₄	—	158	2	no	—
345	D₄	—	1264	2	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	16	2	no	—
348	C₂×C₄	—	316	2	no	—
349	C₂×C₄	—	79	1	no	—
350	C₂×C₄	—	79	1	no	—
351	C₂×C₄	—	632	4	no	—
352	C₂×C₄	—	158	1	no	—
353	C₂×C₄	—	158	1	no	—
354	C₂×C₄	—	158	1	no	—
355	C₂×C₄	—	158	1	no	—
356	C₂×C₄	D₈×D₇₉	1	1	yes	characteristic
357	C₂×C₄	D₈×D₇₉	1	1	yes	characteristic
358	C₂×C₄	C₂×D₄×D₇₉	1	1	yes	characteristic
359	C₈	—	2	1	no	—
360	C₈	—	158	1	no	—
361	C₈	—	158	1	no	—
362	C₈	C₂²×D₃₁₆	1	1	yes	characteristic
363	C₈	#14579207	1	1	yes	characteristic
364	C₂²	—	4	4	no	—
365	C₂²	—	8	2	no	—
366	C₂²	—	8	2	no	—
367	C₂²	—	79	2	no	—
368	C₂²	—	632	2	no	—
369	C₂²	—	632	2	no	—
370	C₂²	—	632	2	no	—
371	C₂²	—	158	1	no	—
372	C₂²	—	158	1	no	—
373	C₂²	—	158	1	no	—
374	C₂²	—	158	1	no	—
375	C₂²	—	158	1	no	—
376	C₂²	—	1264	8	no	—
377	C₂²	C₂×D₈×D₇₉	1	1	yes	characteristic
378	C₄	—	2	1	no	—
379	C₄	—	2	1	no	—
380	C₄	—	8	2	no	—
381	C₄	—	632	2	no	—
382	C₄	—	158	1	no	—
383	C₄	—	158	1	no	—
384	C₄	D₄×D₃₁₆	1	1	yes	characteristic
385	C₄	#19099365	1	1	yes	characteristic
386	C₂	—	8	4	no	—
387	C₂	—	316	1	no	—
388	C₂	—	158	2	no	—
389	C₂	—	1264	2	no	—
390	C₂	D₈×D₃₁₆	1	1	yes	characteristic
391	C₂	#508×D₇₉	1	1	yes	characteristic
392	C₂	#23776537	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₈×D₇₉
commutator, cosocle	C₂×C₈×C₇₉	C₂⁴
Frattini	C₂×C₈	C₂³×D₇₉
Fitting	C₄×D₁₆×C₇₉	C₂
socle	C₂²×C₇₉	C₂²×D₈
hypercenter	C₄×D₁₆	D₇₉
hypocenter	C₇₉	#33846
LCS	G ▷ C₂×C₈×C₇₉ ▷ C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ C₄² ◁ C₄×C₈ ◁ C₄×D₁₆

Complements

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

N	H ≅ G/N	type
1. C₂×#19098992	C₂	semidirect
2. C₂×D₁₆×D₇₉	C₂	semidirect
3. #23775086	C₂	semidirect
4. #23765661	C₂	semidirect
5. #23765492	C₂	semidirect
6. #23765487	C₂	semidirect
7. #23765455	C₂	semidirect
8. #23765330	C₂	semidirect
9. #23765324	C₂	semidirect
10. C₁₆×D₃₁₆	C₂	semidirect
11. C₄×D₁₆×C₇₉	C₂	semidirect
12. C₂×#14579180	C₂²	semidirect
16. C₂×Dic₆₃₂	C₂²	semidirect
17. C₂×#14579106	C₂²	semidirect
18. C₂×#14579105	C₂²	semidirect
23. C₂×C₁₆×D₇₉	C₂²	semidirect
24. #19098947	C₂²	semidirect
26. #19098800	C₂²	semidirect
31. C₄⋊(C₇₉⋊C₁₆)	C₂²	semidirect
32. #19098366	C₂²	semidirect
33. #19098363	C₂²	semidirect
35. (C₂×D₇₉)⋊C₁₆	C₂²	semidirect
37. C₄×D₈×C₇₉	C₂²	semidirect
38. #366×C₇₉	C₂²	semidirect
39. #357×C₇₉	C₂²	semidirect
40. C₄×C₁₆×C₇₉	C₂²	semidirect
78. D₁₆×C₇₉	D₄	semidirect
180. C₂×D₇₉	#508	semidirect
206. C₄×D₁₆	D₇₉	semidirect
208. C₇₉	#33846	semidirect
228. C₄×D₈	C₂×D₇₉	semidirect
230. #366	C₂×D₇₉	semidirect
234. #357	C₂×D₇₉	semidirect
237. C₄×C₁₆	C₂×D₇₉	semidirect
266. D₁₆	D₃₁₆	semidirect

Maximal subgroups

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

subgroup	index
C₂×#19098992	2
C₂×D₁₆×D₇₉	2
#23775086	2
#23765661	2
#23765492	2
#23765487	2
#23765455	2
#23765330	2
#23765324	2
C₁₆×D₃₁₆	2
C₄×D₁₆×C₇₉	2
#33846	79