Subgroups — C₈×#4058 #12068673

Order 1280.

750 conjugacy classes of subgroups.

The subgroup lattice has 406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄×#4058	C₂	1	1	yes	maximal, characteristic
2	C₈×#711	C₂	1	2	yes	maximal, complemented
3	C₅×C₈×D₈	C₂	1	1	yes	maximal, characteristic, complemented
4	D₈×#168	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈×#687	C₂	1	2	yes	maximal, complemented
6	#10599360	C₂	1	1	yes	maximal, characteristic, complemented
7	#10599350	C₂	1	1	yes	maximal, characteristic, complemented
8	#10598958	C₂	1	2	yes	maximal, complemented
9	#10598942	C₂	1	2	yes	maximal, complemented
10	C₈×Dic₂₀	C₂	1	1	yes	maximal, characteristic, complemented
11	C₈²×D₅	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#4058	C₄	1	1	yes	characteristic
13	C₄×#711	C₂²	1	2	yes	—
14	C₄×C₅×D₈	C₂²	1	1	yes	characteristic
15	C₅×C₈×D₄	C₂²	1	2	yes	—
16	D₈×Dic₅	C₄	1	1	yes	characteristic
17	C₈×C₂²⋊D₅	—	2	2	no	—
18	C₂×C₈×Dic₅	—	2	2	no	—
19	C₄×#687	C₂²	1	2	yes	—
20	D₄×#168	C₂²	1	2	yes	—
21	#65169	C₄	1	1	yes	characteristic
22	#65162	C₄	1	1	yes	characteristic
23	#65122	C₂²	1	2	yes	—
24	#65119	C₂²	1	2	yes	—
25	#65061	C₄	1	2	yes	—
26	#65047	C₄	1	2	yes	—
27	#65014	—	2	2	no	—
28	#65007	—	2	2	no	—
29	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
30	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
31	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
32	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
33	C₈×Dic₁₀	C₂²	1	2	yes	—
34	C₅×#335	C₂²	1	1	yes	characteristic
35	C₅×D₄⋊C₈	C₂²	1	2	yes	—
36	C₅×C₈²	C₂²	1	1	yes	characteristic
37	D₄⋊#168	C₂²	1	2	yes	—
38	#64704	C₂²	1	2	yes	—
39	#64700	C₂²	1	2	yes	—
40	#64678	C₂²	1	1	yes	characteristic
41	#64676	C₂²	1	2	yes	—
42	C₈×#168	C₂²	1	1	yes	characteristic
43	C₈×#168	C₂²	1	1	yes	characteristic
44	C₈×#168	C₂²	1	1	yes	characteristic
45	C₈×#135	—	5	1	no	maximal, Sylow
46	C₂×#711	C₂×C₄	1	2	yes	—
47	C₂×C₅×D₈	C₂×C₄	1	1	yes	characteristic
48	C₂²×C₅×C₈	—	2	2	no	—
49	C₄×C₅×D₄	C₂³	1	2	yes	—
50	D₄×Dic₅	C₂×C₄	1	2	yes	—
51	C₂×#687	C₂×C₄	1	2	yes	—
52	C₄×C₂²⋊D₅	—	2	2	no	—
53	C₂×C₄×Dic₅	—	2	2	no	—
54	C₂²×#168	—	2	2	no	—
55	#4058	C₈	1	8	yes	direct product factor
56	C₂×Dic₂₀	C₂×C₄	1	1	yes	characteristic
57	C₂×C₈×D₅	—	2	1	no	—
58	C₂×C₈×D₅	C₂×C₄	1	1	yes	characteristic
59	C₂×C₈×D₅	C₂×C₄	1	1	yes	characteristic
60	C₂×C₈×D₅	D₄	1	1	yes	characteristic
61	C₂×C₈×D₅	D₄	1	1	yes	characteristic
62	#4038	C₂×C₄	1	2	yes	—
63	#4033	C₂×C₄	1	2	yes	—
64	#4027	—	2	2	no	—
65	#4023	—	2	2	no	—
66	C₄²×D₅	C₂³	1	1	yes	characteristic
67	C₄×Dic₁₀	C₂³	1	2	yes	—
68	C₅×#107	C₂×C₄	1	1	yes	characteristic
69	C₅×C₄⋊C₈	C₂³	1	2	yes	—
70	C₅×#102	C₂×C₄	1	2	yes	—
71	C₅×C₂²⋊C₈	—	2	2	no	—
72	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
73	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
74	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
75	#3964	C₂×C₄	1	2	yes	—
76	C₂²⋊#168	—	2	2	no	—
77	#3952	—	2	2	no	—
78	#3950	C₂×C₄	1	1	yes	characteristic
79	#3948	C₂×C₄	1	2	yes	—
80	#3946	—	2	2	no	—
81	#3946	—	2	2	no	—
82	C₈×Dic₅	—	2	2	no	—
83	C₈×Dic₅	—	2	2	no	—
84	C₈×Dic₅	—	2	1	no	—
85	C₈×Dic₅	—	2	2	no	—
86	C₈×Dic₅	C₂×C₄	1	1	yes	characteristic
87	C₈×Dic₅	C₂×C₄	1	1	yes	characteristic
88	C₈×Dic₅	D₄	1	1	yes	characteristic
89	C₈×Dic₅	D₄	1	1	yes	characteristic
90	#3942	C₂×C₄	1	2	yes	—
91	#3940	C₂×C₄	1	2	yes	—
92	C₄⋊#168	C₂³	1	2	yes	—
93	C₄×#168	C₂³	1	1	yes	characteristic
94	C₄×#168	C₂³	1	1	yes	characteristic
95	C₄×#168	C₂³	1	1	yes	characteristic
96	C₈×#41	—	5	2	no	—
97	C₄×#135	—	5	1	no	—
98	C₈×Q₁₆	—	5	1	no	—
99	C₈×Q₁₆	—	5	1	no	—
100	C₈×SD₁₆	—	5	2	no	—
101	C₈×SD₁₆	—	5	2	no	—
102	C₈×D₈	—	5	1	no	—
103	C₈×D₈	D₅	1	1	yes	characteristic, complemented
104	#1564	—	5	1	no	—
105	#1476	—	5	2	no	—
106	C₂×C₈²	—	5	1	no	—
107	C₂×C₅×D₄	C₂²×C₄	1	2	yes	—
108	C₂²×C₄×C₅	—	2	2	no	—
109	C₂×C₂²⋊D₅	—	2	2	no	—
110	C₂²×Dic₅	—	2	2	no	—
111	C₂²×Dic₅	—	2	2	no	—
112	#711	—	2	4	no	—
113	#711	C₂×C₈	1	8	yes	complemented
114	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
115	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
116	C₂×C₄×D₅	#41	1	1	yes	characteristic
117	C₂×Dic₁₀	C₂²×C₄	1	2	yes	—
118	C₅×D₈	C₂×C₈	1	4	yes	complemented
119	C₂×C₅×C₈	—	2	1	no	—
120	C₂×C₅×C₈	—	2	2	no	—
121	C₂×C₅×C₈	—	4	4	no	—
122	C₂×C₅×C₈	C₂²×C₄	1	1	yes	characteristic
123	C₂×C₅×C₈	C₂²×C₄	1	1	yes	characteristic
124	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
125	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
126	C₅×C₄⋊C₄	C₂²×C₄	1	2	yes	—
127	C₅×C₂²⋊C₄	—	2	2	no	—
128	C₄²×C₅	C₂⁴	1	1	yes	characteristic
129	C₂²⋊Dic₅	—	2	2	no	—
130	#687	C₂×C₈	1	8	yes	complemented
131	#685	—	2	2	no	—
132	C₄⋊Dic₅	C₂²×C₄	1	2	yes	—
133	#683	—	2	2	no	—
134	#683	—	2	2	no	—
135	C₄×Dic₅	—	2	2	no	—
136	C₄×Dic₅	—	2	2	no	—
137	C₄×Dic₅	—	2	2	no	—
138	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
139	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
140	C₄×Dic₅	#41	1	1	yes	characteristic
141	C₂×#168	—	2	1	no	—
142	C₂×#168	—	2	2	no	—
143	C₂×#168	—	4	4	no	—
144	C₂×#168	C₂²×C₄	1	1	yes	characteristic
145	C₂×#168	C₂²×C₄	1	1	yes	characteristic
146	C₂×#168	C₂×D₄	1	1	yes	characteristic
147	C₂×#168	C₂×D₄	1	1	yes	characteristic
148	Dic₂₀	C₂×C₈	1	4	yes	complemented
149	C₈×D₅	—	2	4	no	—
150	C₈×D₅	—	2	2	no	—
151	C₈×D₅	—	2	2	no	—
152	C₈×D₅	—	2	2	no	—
153	C₈×D₅	C₂×C₈	1	4	yes	complemented
154	C₂×#135	—	5	1	no	—
155	C₄×#41	—	5	2	no	—
156	C₈×Q₈	—	5	2	no	—
157	C₈×Q₈	—	5	2	no	—
158	C₄×Q₁₆	—	5	1	no	—
159	C₄×Q₁₆	—	5	1	no	—
160	C₄×SD₁₆	—	5	2	no	—
161	C₄×SD₁₆	—	5	2	no	—
162	C₄×D₈	—	5	1	no	—
163	C₄×D₈	C₂×D₅	1	1	yes	characteristic
164	C₈×D₄	—	5	2	no	—
165	C₈×D₄	—	10	2	no	—
166	C₈×D₄	—	10	2	no	—
167	C₈×D₄	C₂×D₅	1	2	yes	—
168	#431	—	5	2	no	—
169	#431	—	10	2	no	—
170	#427	—	5	1	no	—
171	#416	—	5	2	no	—
172	C₂×C₄×C₈	—	5	1	no	—
173	C₂×C₄×C₈	—	5	1	no	—
174	C₂×C₄×C₈	—	5	1	no	—
175	C₂×C₄×C₈	—	10	2	no	—
176	#335	—	5	1	no	—
177	#335	C₂×D₅	1	1	yes	characteristic
178	#334	—	5	2	no	—
179	Q₈⋊C₈	—	5	2	no	—
180	Q₈⋊C₈	—	5	2	no	—
181	D₄⋊C₈	—	5	2	no	—
182	D₄⋊C₈	C₂×D₅	1	2	yes	—
183	C₈²	—	5	1	no	—
184	C₈²	—	5	1	no	—
185	C₈²	—	5	1	no	—
186	C₈²	C₂×D₅	1	1	yes	characteristic
187	C₂³×C₅	—	2	2	no	—
188	C₂²×D₅	C₄×D₄	1	1	yes	characteristic
189	C₅×D₄	—	2	2	no	—
190	C₅×D₄	C₂²×C₈	1	4	yes	—
191	C₂×C₄×C₅	—	2	2	no	—
192	C₂×C₄×C₅	—	4	2	no	—
193	C₂×C₄×C₅	—	4	2	no	—
194	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
195	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
196	C₂×C₄×C₅	C₂×#41	1	1	yes	characteristic
197	C₂²⋊D₅	—	2	8	no	—
198	C₂×Dic₅	—	2	2	no	—
199	C₂×Dic₅	—	2	8	no	—
200	C₂×Dic₅	—	2	2	no	—
201	C₂×Dic₅	—	4	4	no	—
202	C₂×Dic₅	C₄×D₄	1	1	yes	characteristic
203	C₂×Dic₅	C₄×D₄	1	1	yes	characteristic
204	C₂×Dic₅	C₄×D₄	1	1	yes	characteristic
205	C₄×D₅	—	2	1	no	—
206	C₄×D₅	—	2	1	no	—
207	C₄×D₅	—	2	2	no	—
208	C₄×D₅	C₂²×C₈	1	2	yes	—
209	C₄×D₅	#131	1	2	yes	—
210	Dic₁₀	—	2	2	no	—
211	Dic₁₀	C₂²×C₈	1	4	yes	—
212	C₅×C₈	—	2	2	no	—
213	C₅×C₈	—	2	1	no	—
214	C₅×C₈	—	2	1	no	—
215	C₅×C₈	—	4	2	no	—
216	C₅×C₈	C₂²×C₈	1	2	yes	—
217	C₅×C₈	#135	1	2	yes	complemented
218	#168	—	2	2	no	—
219	#168	—	2	1	no	—
220	#168	—	2	1	no	—
221	#168	—	4	2	no	—
222	#168	C₂²×C₈	1	2	yes	—
223	#168	#135	1	2	yes	complemented
224	C₂×#41	—	5	2	no	—
225	#135	—	5	8	no	—
226	C₂×Q₁₆	—	5	1	no	—
227	C₂×SD₁₆	—	5	2	no	—
228	C₂×D₈	C₄×D₅	1	1	yes	characteristic
229	C₂²×C₈	—	2	2	no	—
230	C₂²×C₈	—	5	1	no	—
231	C₂²×C₈	—	5	1	no	—
232	C₂²×C₈	—	5	1	no	—
233	C₂²×C₈	—	5	1	no	—
234	C₂²×C₈	—	10	1	no	—
235	C₂²×C₈	—	10	2	no	—
236	C₄×Q₈	—	5	2	no	—
237	C₄×Q₈	—	5	2	no	—
238	C₄×D₄	—	5	2	no	—
239	C₄×D₄	—	10	2	no	—
240	C₄×D₄	—	10	2	no	—
241	C₄×D₄	C₂²×D₅	1	2	yes	—
242	#117	—	5	2	no	—
243	#117	—	10	2	no	—
244	C₂×C₄²	—	5	1	no	—
245	C₂×C₄²	—	10	2	no	—
246	#107	—	5	1	no	—
247	#107	C₄×D₅	1	1	yes	characteristic
248	#106	—	5	2	no	—
249	C₄⋊C₈	—	5	2	no	—
250	C₄⋊C₈	—	10	2	no	—
251	C₄⋊C₈	—	10	2	no	—
252	C₄⋊C₈	C₂²×D₅	1	2	yes	—
253	#103	—	5	2	no	—
254	#103	—	5	2	no	—
255	#102	—	5	2	no	—
256	#102	C₄×D₅	1	2	yes	—
257	C₂²⋊C₈	—	2	2	no	—
258	C₂²⋊C₈	—	10	2	no	—
259	C₂²⋊C₈	—	10	2	no	—
260	C₄×C₈	—	5	1	no	—
261	C₄×C₈	—	5	1	no	—
262	C₄×C₈	—	5	1	no	—
263	C₄×C₈	—	5	1	no	—
264	C₄×C₈	—	5	1	no	—
265	C₄×C₈	—	5	1	no	—
266	C₄×C₈	—	5	1	no	—
267	C₄×C₈	—	10	1	no	—
268	C₄×C₈	—	10	2	no	—
269	C₄×C₈	—	10	2	no	—
270	C₄×C₈	—	10	2	no	—
271	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
272	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
273	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
274	C₂²×C₅	—	2	4	no	—
275	C₂²×C₅	—	4	2	no	—
276	C₂²×C₅	—	4	2	no	—
277	C₂²×C₅	C₂×C₄×D₄	1	1	yes	characteristic
278	C₂×D₅	—	2	1	no	—
279	C₂×D₅	—	2	1	no	—
280	C₂×D₅	C₈×D₄	1	2	yes	—
281	C₄×C₅	—	2	1	no	—
282	C₄×C₅	—	4	2	no	—
283	C₄×C₅	C₂³×C₈	1	1	yes	characteristic
284	C₄×C₅	C₂×#131	1	1	yes	characteristic
285	C₄×C₅	C₂×#135	1	1	yes	characteristic
286	C₄×C₅	C₂×#135	1	1	yes	characteristic
287	Dic₅	—	2	4	no	—
288	Dic₅	—	2	1	no	—
289	Dic₅	—	4	2	no	—
290	Dic₅	C₈×D₄	1	2	yes	—
291	Dic₅	#443	1	2	yes	—
292	#41	—	5	8	no	—
293	#41	—	10	4	no	—
294	C₂×Q₈	—	5	2	no	—
295	C₂×D₄	—	10	2	no	—
296	C₂×D₄	C₂×C₄×D₅	1	2	yes	—
297	C₂²×C₄	—	2	2	no	—
298	C₂²×C₄	—	5	1	no	—
299	C₂²×C₄	—	5	1	no	—
300	C₂²×C₄	—	5	1	no	—
301	C₂²×C₄	—	10	2	no	—
302	C₂²×C₄	—	10	2	no	—
303	Q₁₆	—	5	4	no	—
304	SD₁₆	—	5	8	no	—
305	D₈	C₈×D₅	1	4	yes	complemented
306	C₂×C₈	—	2	1	no	—
307	C₂×C₈	—	2	2	no	—
308	C₂×C₈	—	4	4	no	—
309	C₂×C₈	—	5	1	no	—
310	C₂×C₈	—	5	1	no	—
311	C₂×C₈	—	5	4	no	—
312	C₂×C₈	—	5	1	no	—
313	C₂×C₈	—	5	1	no	—
314	C₂×C₈	—	10	2	no	—
315	C₂×C₈	—	10	2	no	—
316	C₂×C₈	—	10	4	no	—
317	C₂×C₈	—	10	1	no	—
318	C₂×C₈	—	10	2	no	—
319	C₂×C₈	—	10	2	no	—
320	C₂×C₈	—	20	4	no	—
321	C₂×C₈	C₂×C₄×D₅	1	1	yes	characteristic
322	C₂×C₈	C₂×C₄×D₅	1	1	yes	characteristic
323	C₂×C₈	D₄×D₅	1	1	yes	characteristic
324	C₂×C₈	D₄×D₅	1	1	yes	characteristic
325	C₄⋊C₄	—	5	2	no	—
326	C₄⋊C₄	—	10	2	no	—
327	C₄⋊C₄	—	10	2	no	—
328	C₄⋊C₄	C₂×C₄×D₅	1	2	yes	—
329	C₂²⋊C₄	—	2	2	no	—
330	C₂²⋊C₄	—	10	2	no	—
331	C₂²⋊C₄	—	10	2	no	—
332	C₄²	—	5	1	no	—
333	C₄²	—	5	1	no	—
334	C₄²	—	5	1	no	—
335	C₄²	—	10	2	no	—
336	C₄²	—	10	2	no	—
337	C₄²	—	10	2	no	—
338	C₄²	C₂³×D₅	1	1	yes	characteristic
339	C₂×C₅	—	4	4	no	—
340	C₂×C₅	C₂×C₈×D₄	1	1	yes	characteristic
341	C₂×C₅	C₄×#135	1	1	yes	characteristic
342	C₂×C₅	C₂×#443	1	1	yes	characteristic
343	D₅	—	2	2	no	—
344	C₂³	—	2	2	no	—
345	C₂³	—	5	1	no	—
346	Q₈	—	5	4	no	—
347	Q₈	—	10	2	no	—
348	D₄	—	2	2	no	—
349	D₄	—	10	8	no	—
350	D₄	C₂×C₈×D₅	1	4	yes	—
351	C₂×C₄	—	2	2	no	—
352	C₂×C₄	—	4	2	no	—
353	C₂×C₄	—	4	2	no	—
354	C₂×C₄	—	5	1	no	—
355	C₂×C₄	—	5	1	no	—
356	C₂×C₄	—	5	2	no	—
357	C₂×C₄	—	5	2	no	—
358	C₂×C₄	—	5	1	no	—
359	C₂×C₄	—	10	2	no	—
360	C₂×C₄	—	10	8	no	—
361	C₂×C₄	—	10	2	no	—
362	C₂×C₄	—	10	1	no	—
363	C₂×C₄	—	10	1	no	—
364	C₂×C₄	—	10	2	no	—
365	C₂×C₄	—	20	4	no	—
366	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
367	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
368	C₂×C₄	D₅×#41	1	1	yes	characteristic
369	C₈	—	2	2	no	—
370	C₈	—	2	1	no	—
371	C₈	—	2	1	no	—
372	C₈	—	4	2	no	—
373	C₈	—	5	2	no	—
374	C₈	—	5	2	no	—
375	C₈	—	10	2	no	—
376	C₈	—	10	1	no	—
377	C₈	—	10	1	no	—
378	C₈	—	20	2	no	—
379	C₈	C₂×C₈×D₅	1	2	yes	—
380	C₈	#4058	1	2	yes	direct product factor
381	C₅	C₈×#135	1	1	yes	characteristic, complemented, Sylow
382	C₂²	—	2	4	no	—
383	C₂²	—	4	2	no	—
384	C₂²	—	4	2	no	—
385	C₂²	—	5	2	no	—
386	C₂²	—	10	1	no	—
387	C₂²	—	10	1	no	—
388	C₂²	C₄×D₄×D₅	1	1	yes	characteristic
389	C₄	—	2	1	no	—
390	C₄	—	4	2	no	—
391	C₄	—	5	2	no	—
392	C₄	—	5	2	no	—
393	C₄	—	10	1	no	—
394	C₄	—	10	4	no	—
395	C₄	—	20	2	no	—
396	C₄	C₂²×C₈×D₅	1	1	yes	characteristic
397	C₄	D₅×#131	1	1	yes	characteristic
398	C₄	C₂×#4058	1	1	yes	characteristic
399	C₄	D₅×#135	1	1	yes	characteristic
400	C₂	—	4	4	no	—
401	C₂	—	10	2	no	—
402	C₂	C₈×D₄×D₅	1	1	yes	characteristic
403	C₂	C₄×#4058	1	1	yes	characteristic
404	C₂	D₅×#443	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₈	D₄×D₅
commutator	C₄×C₅	C₂³×C₈
Frattini	C₄²	C₂³×D₅
Fitting	C₅×C₈×D₈	C₂
socle	C₂²×C₅	C₂×C₄×D₄
prime radical	C₂×#4058	C₄
cosocle	C₄²×C₅	C₂⁴
hypercenter	C₈×D₈	D₅
hypocenter	C₅	C₈×#135
LCS	G ▷ C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₈ ◁ C₄×C₈ ◁ C₈×D₈

Complements

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

N	H ≅ G/N	type
2. C₈×#711	C₂	semidirect
3. C₅×C₈×D₈	C₂	semidirect
4. D₈×#168	C₂	semidirect
5. C₈×#687	C₂	semidirect
6. #10599360	C₂	semidirect
7. #10599350	C₂	semidirect
8. #10598958	C₂	semidirect
9. #10598942	C₂	semidirect
10. C₈×Dic₂₀	C₂	semidirect
11. C₈²×D₅	C₂	semidirect
55. #4058	C₈	direct (N × H)
103. C₈×D₈	D₅	semidirect
113. #711	C₂×C₈	semidirect
118. C₅×D₈	C₂×C₈	semidirect
130. #687	C₂×C₈	semidirect
148. Dic₂₀	C₂×C₈	semidirect
153. C₈×D₅	C₂×C₈	semidirect
217. C₅×C₈	#135	semidirect
223. #168	#135	semidirect
305. D₈	C₈×D₅	semidirect
380. C₈	#4058	direct (N × H)
381. C₅	C₈×#135	semidirect

Maximal subgroups

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

subgroup	index
C₄×#4058	2
C₈×#711	2
C₅×C₈×D₈	2
D₈×#168	2
C₈×#687	2
#10599360	2
#10599350	2
#10598958	2
#10598942	2
C₈×Dic₂₀	2
C₈²×D₅	2
C₈×#135	5

Subgroups — C8×#4058 #12068673

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈×#4058 #12068673