Subgroups — #12064884

Order 1280.

914 conjugacy classes of subgroups.

The subgroup lattice has 366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#431	C₂	1	1	yes	maximal, characteristic
2	C₂×#65214	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄×#681	C₂	1	1	yes	maximal, characteristic
4	#10601533	C₂	1	4	yes	maximal, complemented
5	#10601532	C₂	1	4	yes	maximal, complemented
6	C₈×#681	C₂	1	4	yes	maximal, complemented
7	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
8	C₂²×#681	C₄	1	2	yes	—
9	C₅×#431	C₄	1	2	yes	—
10	C₅×#431	C₄	1	2	yes	—
11	C₅×#431	C₂²	1	2	yes	—
12	C₅×#431	C₂²	1	2	yes	—
13	C₂×C₅×C₄⋊C₈	C₄	1	2	yes	—
14	C₂×C₅×C₂²⋊C₈	C₄	1	2	yes	—
15	C₂×C₄×C₅×C₈	C₂²	1	2	yes	—
16	C₂×C₂²⋊#168	C₄	1	2	yes	—
17	#65214	C₄	1	2	yes	—
18	#65214	C₄	1	2	yes	—
19	#65214	C₂²	1	2	yes	—
20	#65214	C₂²	1	2	yes	—
21	C₂×C₄⋊#168	C₄	1	2	yes	—
22	C₄×#681	C₄	1	2	yes	—
23	C₄×#681	C₄	1	2	yes	—
24	C₄×#681	C₂²	1	2	yes	—
25	C₄×#681	C₂²	1	2	yes	—
26	C₂×#3935	C₄	1	2	yes	—
27	C₂×C₄×#168	C₂²	1	2	yes	—
28	C₂×C₄×#168	C₂²	1	2	yes	—
29	#64674	C₂²	1	8	yes	complemented
30	C₈×#168	C₂²	1	8	yes	complemented
31	#17314	—	5	1	no	maximal, Sylow
32	C₂³×C₄×C₅	C₂×C₄	1	1	yes	characteristic
33	C₂³×C₄×C₅	C₂×C₄	1	1	yes	characteristic
34	C₂³×C₄×C₅	C₂×C₄	1	1	yes	characteristic
35	C₂²×C₅×C₈	C₂×C₄	1	4	yes	—
36	C₂×C₄²×C₅	C₂×C₄	1	1	yes	characteristic
37	C₂×C₄²×C₅	C₂×C₄	1	1	yes	characteristic
38	C₂×C₄²×C₅	C₂×C₄	1	1	yes	characteristic
39	C₂×C₄²×C₅	C₂×C₄	1	1	yes	characteristic
40	C₂×C₄²×C₅	C₂×C₄	1	1	yes	characteristic
41	C₂×C₄²×C₅	C₂×C₄	1	1	yes	characteristic
42	C₂×C₄²×C₅	C₂×C₄	1	1	yes	characteristic
43	C₂×C₄²×C₅	C₂×C₄	1	1	yes	characteristic
44	C₂×C₄²×C₅	C₂×C₄	1	1	yes	characteristic
45	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
46	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
47	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
48	C₂×#681	C₈	1	16	yes	complemented
49	C₂×#681	C₂×C₄	1	4	yes	—
50	C₂×#681	C₂×C₄	1	4	yes	—
51	C₂²×#168	C₂×C₄	1	4	yes	—
52	C₂²×#168	C₂×C₄	1	4	yes	—
53	C₅×C₄⋊C₈	C₂×C₄	1	4	yes	—
54	C₅×C₄⋊C₈	C₂×C₄	1	4	yes	—
55	C₅×C₂²⋊C₈	C₂×C₄	1	4	yes	—
56	C₅×C₂²⋊C₈	C₂×C₄	1	4	yes	—
57	C₄×C₅×C₈	C₂×C₄	1	4	yes	—
58	C₄×C₅×C₈	C₂³	1	4	yes	—
59	C₂²⋊#168	C₂×C₄	1	4	yes	—
60	C₂²⋊#168	C₂×C₄	1	4	yes	—
61	C₄⋊#168	C₂×C₄	1	4	yes	—
62	C₄⋊#168	C₂×C₄	1	4	yes	—
63	#3935	C₂×C₄	1	4	yes	—
64	#3935	C₂×C₄	1	4	yes	—
65	C₄×#168	C₂×C₄	1	4	yes	—
66	C₄×#168	C₂×C₄	1	4	yes	—
67	C₄×#168	C₂³	1	4	yes	—
68	C₄×#168	C₂³	1	4	yes	—
69	C₂×#431	—	5	1	no	—
70	C₂×#431	D₅	1	1	yes	characteristic
71	C₂×C₄×M₁₆	—	5	1	no	—
72	#1450	—	5	4	no	—
73	C₈×M₁₆	—	5	4	no	—
74	C₈×M₁₆	—	5	4	no	—
75	C₂⁴×C₅	C₄²	1	1	yes	characteristic
76	C₂²×C₄×C₅	—	4	2	no	—
77	C₂²×C₄×C₅	—	4	2	no	—
78	C₂²×C₄×C₅	C₄²	1	1	yes	characteristic
79	C₂²×C₄×C₅	C₄²	1	1	yes	characteristic
80	C₂²×C₄×C₅	C₄²	1	1	yes	characteristic
81	C₂²×C₄×C₅	C₄²	1	1	yes	characteristic
82	C₂²×C₄×C₅	C₄²	1	1	yes	characteristic
83	C₂²×C₄×C₅	C₄²	1	1	yes	characteristic
84	C₂²×C₄×C₅	C₄²	1	1	yes	characteristic
85	C₂²×C₄×C₅	C₄²	1	1	yes	characteristic
86	C₂²×C₄×C₅	C₄²	1	1	yes	characteristic
87	C₂²×C₄×C₅	C₂×C₈	1	8	yes	—
88	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
89	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
90	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
91	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
92	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
93	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
94	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
95	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
96	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
97	C₂×C₅×C₈	—	4	4	no	—
98	C₂×C₅×C₈	C₂²×C₄	1	8	yes	—
99	C₄²×C₅	C₄²	1	1	yes	characteristic
100	C₄²×C₅	C₄²	1	1	yes	characteristic
101	C₄²×C₅	C₄²	1	1	yes	characteristic
102	C₄²×C₅	C₄²	1	1	yes	characteristic
103	C₄²×C₅	C₄²	1	1	yes	characteristic
104	C₄²×C₅	C₄²	1	1	yes	characteristic
105	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
106	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
107	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
108	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
109	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
110	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
111	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
112	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
113	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
114	C₄²×C₅	C₂⁴	1	1	yes	characteristic
115	#681	C₂×C₈	1	16	yes	complemented
116	#681	C₂×C₈	1	16	yes	complemented
117	C₂×#168	—	4	4	no	—
118	C₂×#168	C₂×C₈	1	16	yes	complemented
119	C₂×#168	C₂²×C₄	1	8	yes	—
120	C₂×#168	C₂²×C₄	1	8	yes	—
121	C₂²×M₁₆	—	5	2	no	—
122	C₂²×C₄²	C₂×D₅	1	1	yes	characteristic
123	#431	—	5	2	no	—
124	#431	—	5	2	no	—
125	#431	—	5	2	no	—
126	#431	—	5	2	no	—
127	#431	Dic₅	1	2	yes	—
128	#431	Dic₅	1	2	yes	—
129	#431	C₂×D₅	1	2	yes	—
130	#431	C₂×D₅	1	2	yes	—
131	C₂×C₄⋊C₈	—	5	2	no	—
132	C₂×C₄⋊C₈	Dic₅	1	2	yes	—
133	C₂×C₂²⋊C₈	—	5	2	no	—
134	C₂×C₂²⋊C₈	Dic₅	1	2	yes	—
135	C₄×M₁₆	—	5	2	no	—
136	C₄×M₁₆	—	5	2	no	—
137	C₄×M₁₆	—	5	2	no	—
138	C₄×M₁₆	—	5	2	no	—
139	C₂×#97	—	5	2	no	—
140	C₂×C₄×C₈	—	5	2	no	—
141	C₂×C₄×C₈	—	5	2	no	—
142	C₂×C₄×C₈	C₂×D₅	1	2	yes	—
143	#322	—	5	8	no	—
144	C₈²	—	5	8	no	—
145	C₂³×C₅	—	4	1	no	—
146	C₂³×C₅	—	4	1	no	—
147	C₂³×C₅	C₄×C₈	1	4	yes	—
148	C₂³×C₅	C₂×C₄²	1	1	yes	characteristic
149	C₂³×C₅	C₂×C₄²	1	1	yes	characteristic
150	C₂³×C₅	C₂×C₄²	1	1	yes	characteristic
151	C₂×C₄×C₅	—	2	2	no	—
152	C₂×C₄×C₅	—	2	2	no	—
153	C₂×C₄×C₅	—	2	2	no	—
154	C₂×C₄×C₅	—	2	2	no	—
155	C₂×C₄×C₅	—	2	2	no	—
156	C₂×C₄×C₅	—	2	2	no	—
157	C₂×C₄×C₅	—	4	1	no	—
158	C₂×C₄×C₅	—	4	1	no	—
159	C₂×C₄×C₅	—	4	1	no	—
160	C₂×C₄×C₅	—	4	1	no	—
161	C₂×C₄×C₅	—	4	1	no	—
162	C₂×C₄×C₅	—	4	1	no	—
163	C₂×C₄×C₅	C₄×C₈	1	4	yes	—
164	C₂×C₄×C₅	C₄×C₈	1	4	yes	—
165	C₂×C₄×C₅	C₄×C₈	1	4	yes	—
166	C₂×C₄×C₅	C₂×C₄²	1	1	yes	characteristic
167	C₂×C₄×C₅	C₂×C₄²	1	1	yes	characteristic
168	C₂×C₄×C₅	C₂×C₄²	1	1	yes	characteristic
169	C₂×C₄×C₅	C₂×C₄²	1	1	yes	characteristic
170	C₂×C₄×C₅	C₂×C₄²	1	1	yes	characteristic
171	C₂×C₄×C₅	C₂×C₄²	1	1	yes	characteristic
172	C₂×C₄×C₅	C₂×C₄²	1	1	yes	characteristic
173	C₂×C₄×C₅	C₂×C₄²	1	1	yes	characteristic
174	C₂×C₄×C₅	C₂×C₄²	1	1	yes	characteristic
175	C₂×C₄×C₅	C₂²×C₈	1	4	yes	—
176	C₂×C₄×C₅	C₂²×C₈	1	4	yes	—
177	C₂×C₄×C₅	C₂²×C₈	1	4	yes	—
178	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
179	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
180	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
181	C₅×C₈	—	2	8	no	—
182	#168	—	2	8	no	—
183	#168	C₂²×C₈	1	16	yes	—
184	C₂³×C₄	C₄×D₅	1	1	yes	characteristic
185	C₂³×C₄	C₄×D₅	1	1	yes	characteristic
186	C₂³×C₄	C₂×Dic₅	1	1	yes	characteristic
187	C₂×M₁₆	—	5	16	no	—
188	C₂×M₁₆	—	5	4	no	—
189	C₂×M₁₆	—	5	4	no	—
190	C₂²×C₈	—	5	4	no	—
191	C₂²×C₈	—	5	4	no	—
192	C₂²×C₈	C₂×Dic₅	1	4	yes	—
193	C₂×C₄²	C₄×D₅	1	1	yes	characteristic
194	C₂×C₄²	C₄×D₅	1	1	yes	characteristic
195	C₂×C₄²	C₄×D₅	1	1	yes	characteristic
196	C₂×C₄²	C₄×D₅	1	1	yes	characteristic
197	C₂×C₄²	C₄×D₅	1	1	yes	characteristic
198	C₂×C₄²	C₄×D₅	1	1	yes	characteristic
199	C₂×C₄²	C₂×Dic₅	1	1	yes	characteristic
200	C₂×C₄²	C₂×Dic₅	1	1	yes	characteristic
201	C₂×C₄²	C₂×Dic₅	1	1	yes	characteristic
202	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
203	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
204	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
205	C₄⋊C₈	—	5	4	no	—
206	C₄⋊C₈	—	5	4	no	—
207	C₄⋊C₈	C₂×Dic₅	1	4	yes	—
208	C₄⋊C₈	C₂×Dic₅	1	4	yes	—
209	C₂²⋊C₈	—	5	4	no	—
210	C₂²⋊C₈	—	5	4	no	—
211	C₂²⋊C₈	C₂×Dic₅	1	4	yes	—
212	C₂²⋊C₈	C₂×Dic₅	1	4	yes	—
213	#97	—	5	4	no	—
214	#97	—	5	4	no	—
215	C₄×C₈	—	5	4	no	—
216	C₄×C₈	—	5	4	no	—
217	C₄×C₈	—	5	4	no	—
218	C₄×C₈	—	5	4	no	—
219	C₄×C₈	C₂×Dic₅	1	4	yes	—
220	C₄×C₈	C₂²×D₅	1	4	yes	—
221	C₂²×C₅	—	2	1	no	—
222	C₂²×C₅	—	2	1	no	—
223	C₂²×C₅	—	2	1	no	—
224	C₂²×C₅	—	2	1	no	—
225	C₂²×C₅	—	2	1	no	—
226	C₂²×C₅	—	2	1	no	—
227	C₂²×C₅	—	4	4	no	—
228	C₂²×C₅	C₂×C₄×C₈	1	2	yes	—
229	C₂²×C₅	C₂×C₄×C₈	1	2	yes	—
230	C₂²×C₅	C₂×C₄×C₈	1	2	yes	—
231	C₂²×C₅	C₂²×C₄²	1	1	yes	characteristic
232	C₄×C₅	—	2	1	no	—
233	C₄×C₅	—	2	1	no	—
234	C₄×C₅	—	2	1	no	—
235	C₄×C₅	—	2	1	no	—
236	C₄×C₅	—	2	1	no	—
237	C₄×C₅	—	2	1	no	—
238	C₄×C₅	C₂×C₄×C₈	1	2	yes	—
239	C₄×C₅	C₂×C₄×C₈	1	2	yes	—
240	C₄×C₅	C₂×C₄×C₈	1	2	yes	—
241	C₄×C₅	C₂³×C₈	1	2	yes	—
242	C₄×C₅	#568	1	2	yes	—
243	C₄×C₅	#568	1	2	yes	—
244	C₂⁴	C₄×Dic₅	1	1	yes	characteristic
245	C₂²×C₄	—	4	2	no	—
246	C₂²×C₄	—	4	2	no	—
247	C₂²×C₄	C₈×D₅	1	8	yes	—
248	C₂²×C₄	C₄×Dic₅	1	1	yes	characteristic
249	C₂²×C₄	C₄×Dic₅	1	1	yes	characteristic
250	C₂²×C₄	C₄×Dic₅	1	1	yes	characteristic
251	C₂²×C₄	C₄×Dic₅	1	1	yes	characteristic
252	C₂²×C₄	C₄×Dic₅	1	1	yes	characteristic
253	C₂²×C₄	C₄×Dic₅	1	1	yes	characteristic
254	C₂²×C₄	C₄×Dic₅	1	1	yes	characteristic
255	C₂²×C₄	C₄×Dic₅	1	1	yes	characteristic
256	C₂²×C₄	C₄×Dic₅	1	1	yes	characteristic
257	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
258	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
259	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
260	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
261	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
262	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
263	C₂²×C₄	C₂²×Dic₅	1	1	yes	characteristic
264	C₂²×C₄	C₂²×Dic₅	1	1	yes	characteristic
265	C₂²×C₄	C₂²×Dic₅	1	1	yes	characteristic
266	M₁₆	—	5	16	no	—
267	M₁₆	—	5	16	no	—
268	C₂×C₈	—	4	4	no	—
269	C₂×C₈	—	5	8	no	—
270	C₂×C₈	—	5	16	no	—
271	C₂×C₈	—	5	8	no	—
272	C₂×C₈	—	20	4	no	—
273	C₂×C₈	C₂²×Dic₅	1	8	yes	—
274	C₄²	C₄×Dic₅	1	1	yes	characteristic
275	C₄²	C₄×Dic₅	1	1	yes	characteristic
276	C₄²	C₄×Dic₅	1	1	yes	characteristic
277	C₄²	C₄×Dic₅	1	1	yes	characteristic
278	C₄²	C₄×Dic₅	1	1	yes	characteristic
279	C₄²	C₄×Dic₅	1	1	yes	characteristic
280	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
281	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
282	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
283	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
284	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
285	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
286	C₄²	C₂²×Dic₅	1	1	yes	characteristic
287	C₄²	C₂²×Dic₅	1	1	yes	characteristic
288	C₄²	C₂²×Dic₅	1	1	yes	characteristic
289	C₄²	C₂³×D₅	1	1	yes	characteristic
290	C₂×C₅	—	2	2	no	—
291	C₂×C₅	—	2	2	no	—
292	C₂×C₅	—	2	2	no	—
293	C₂×C₅	C₂²×C₄×C₈	1	1	yes	characteristic
294	C₂×C₅	#2873	1	1	yes	characteristic
295	C₂×C₅	#2873	1	1	yes	characteristic
296	C₂³	—	4	1	no	—
297	C₂³	—	4	1	no	—
298	C₂³	C₈×Dic₅	1	4	yes	—
299	C₂³	C₂×C₄×Dic₅	1	1	yes	characteristic
300	C₂³	C₂×C₄×Dic₅	1	1	yes	characteristic
301	C₂³	C₂×C₄×Dic₅	1	1	yes	characteristic
302	C₂×C₄	—	2	2	no	—
303	C₂×C₄	—	2	2	no	—
304	C₂×C₄	—	2	2	no	—
305	C₂×C₄	—	2	2	no	—
306	C₂×C₄	—	2	2	no	—
307	C₂×C₄	—	2	2	no	—
308	C₂×C₄	—	4	1	no	—
309	C₂×C₄	—	4	1	no	—
310	C₂×C₄	—	4	1	no	—
311	C₂×C₄	—	4	1	no	—
312	C₂×C₄	—	4	1	no	—
313	C₂×C₄	—	4	1	no	—
314	C₂×C₄	C₈×Dic₅	1	4	yes	—
315	C₂×C₄	C₈×Dic₅	1	4	yes	—
316	C₂×C₄	C₈×Dic₅	1	4	yes	—
317	C₂×C₄	C₂×C₈×D₅	1	4	yes	—
318	C₂×C₄	C₂×C₈×D₅	1	4	yes	—
319	C₂×C₄	C₂×C₈×D₅	1	4	yes	—
320	C₂×C₄	C₂×C₄×Dic₅	1	1	yes	characteristic
321	C₂×C₄	C₂×C₄×Dic₅	1	1	yes	characteristic
322	C₂×C₄	C₂×C₄×Dic₅	1	1	yes	characteristic
323	C₂×C₄	C₂×C₄×Dic₅	1	1	yes	characteristic
324	C₂×C₄	C₂×C₄×Dic₅	1	1	yes	characteristic
325	C₂×C₄	C₂×C₄×Dic₅	1	1	yes	characteristic
326	C₂×C₄	C₂×C₄×Dic₅	1	1	yes	characteristic
327	C₂×C₄	C₂×C₄×Dic₅	1	1	yes	characteristic
328	C₂×C₄	C₂×C₄×Dic₅	1	1	yes	characteristic
329	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
330	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
331	C₂×C₄	C₂³×Dic₅	1	1	yes	characteristic
332	C₈	—	2	8	no	—
333	C₈	—	5	16	no	—
334	C₈	—	10	8	no	—
335	C₅	#17314	1	1	yes	characteristic, complemented, Sylow
336	C₂²	—	2	1	no	—
337	C₂²	—	2	1	no	—
338	C₂²	—	2	1	no	—
339	C₂²	—	2	1	no	—
340	C₂²	—	2	1	no	—
341	C₂²	—	2	1	no	—
342	C₂²	—	4	4	no	—
343	C₂²	C₂×C₈×Dic₅	1	2	yes	—
344	C₂²	C₂×C₈×Dic₅	1	2	yes	—
345	C₂²	C₂×C₈×Dic₅	1	2	yes	—
346	C₂²	C₂²×C₄×Dic₅	1	1	yes	characteristic
347	C₄	—	2	1	no	—
348	C₄	—	2	1	no	—
349	C₄	—	2	1	no	—
350	C₄	—	2	1	no	—
351	C₄	—	2	1	no	—
352	C₄	—	2	1	no	—
353	C₄	C₂×C₈×Dic₅	1	2	yes	—
354	C₄	C₂×C₈×Dic₅	1	2	yes	—
355	C₄	C₂×C₈×Dic₅	1	2	yes	—
356	C₄	C₂²×C₈×D₅	1	2	yes	—
357	C₄	#66079	1	2	yes	—
358	C₄	#66153	1	2	yes	—
359	C₂	—	2	2	no	—
360	C₂	—	2	2	no	—
361	C₂	—	2	2	no	—
362	C₂	#10613933	1	1	yes	characteristic
363	C₂	C₂²×C₈×Dic₅	1	1	yes	characteristic
364	C₂	#10615478	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₄²	C₂³×D₅
commutator	C₂×C₅	C₂²×C₄×C₈
Fitting	C₂×C₅×#431	C₂
socle	C₂²×C₅	C₂²×C₄²
prime radical	C₂⁴×C₅	C₄²
cosocle	C₄²×C₅	C₂⁴
hypercenter	C₂×#431	D₅
hypocenter	C₅	#17314
LCS	G ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₄² ◁ C₂×#431

Complements

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

N	H ≅ G/N	type
4. #10601533	C₂	semidirect
5. #10601532	C₂	semidirect
6. C₈×#681	C₂	semidirect
29. #64674	C₂²	semidirect
30. C₈×#168	C₂²	semidirect
48. C₂×#681	C₈	semidirect
115. #681	C₂×C₈	semidirect
116. #681	C₂×C₈	semidirect
118. C₂×#168	C₂×C₈	semidirect
335. C₅	#17314	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₅×#431	2
C₂×#65214	2
C₂×C₄×#681	2
#10601533	2
#10601532	2
C₈×#681	2
#17314	5