Subgroups — D₄×#14273659 #28606788

Order 15104.

1126 conjugacy classes of subgroups.

The subgroup lattice has 346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#14273659	C₂	1	2	yes	maximal, complemented
2	D₄×C₄⋊Dic₅₉	C₂	1	2	yes	maximal
3	#21424860	C₂	1	2	yes	maximal, complemented
4	#21424291	C₂	1	4	yes	maximal, complemented
5	#21424253	C₂	1	1	yes	maximal, characteristic, complemented
6	#21424121	C₂	1	2	yes	maximal, complemented
7	C₄×#14273659	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₈×D₄×C₅₉	C₂	1	1	yes	maximal, characteristic
9	C₂×D₄×Dic₅₉	—	2	2	no	—
10	C₂²×C₄⋊Dic₅₉	C₂²	1	4	yes	—
11	C₂×#14273659	—	2	8	no	—
12	C₂×#14273659	C₂²	1	2	yes	—
13	C₂×#14273659	C₂²	1	4	yes	—
14	C₂×#14273659	C₂²	1	1	yes	characteristic
15	C₂×#14273659	C₂²	1	2	yes	—
16	C₂×#14273659	C₂²	1	1	yes	characteristic
17	#16837301	—	2	2	no	—
18	#16837277	—	2	4	no	—
19	#16837272	C₂²	1	2	yes	—
20	#16837262	C₂²	1	4	yes	—
21	C₄×C₄⋊Dic₅₉	C₂²	1	2	yes	—
22	#16837165	C₂²	1	2	yes	—
23	#16837165	C₂²	1	4	yes	—
24	C₂³×C₈×C₅₉	C₂²	1	2	yes	—
25	C₂×C₄×D₄×C₅₉	C₂²	1	1	yes	characteristic
26	C₈×D₄×C₅₉	C₄	1	8	yes	complemented
27	C₂×C₄⋊C₈×C₅₉	C₂²	1	1	yes	characteristic
28	C₂×C₂²⋊C₈×C₅₉	C₂²	1	2	yes	—
29	C₂×C₄×C₈×C₅₉	C₂²	1	1	yes	characteristic
30	C₂³×Dic₅₉	—	2	4	no	—
31	D₄×Dic₅₉	—	4	8	no	—
32	C₂×C₄⋊Dic₅₉	—	2	8	no	—
33	C₂×C₄⋊Dic₅₉	—	2	2	no	—
34	C₂×C₄⋊Dic₅₉	—	2	4	no	—
35	C₂×C₄⋊Dic₅₉	—	2	2	no	—
36	C₂×C₄⋊Dic₅₉	—	4	4	no	—
37	C₂×C₄⋊Dic₅₉	C₂³	1	2	yes	—
38	C₂×C₄⋊Dic₅₉	C₂³	1	4	yes	—
39	C₂×C₄⋊Dic₅₉	C₂³	1	2	yes	—
40	C₂×C₂²⋊Dic₅₉	—	2	4	no	—
41	C₂×C₄×Dic₅₉	—	2	2	no	—
42	#14273659	—	2	4	no	—
43	#14273659	—	2	2	no	—
44	#14273659	—	2	8	no	—
45	#14273659	—	4	2	no	—
46	#14273659	D₄	1	4	yes	direct product factor
47	C₅₉⋊#95	—	2	2	no	—
48	C₅₉⋊#95	—	2	4	no	—
49	C₂²×D₄×C₅₉	D₄	1	1	yes	characteristic
50	C₂³×C₄×C₅₉	C₂³	1	2	yes	—
51	C₂²×C₈×C₅₉	—	2	4	no	—
52	C₂²×C₈×C₅₉	—	2	4	no	—
53	C₂²×C₈×C₅₉	C₂×C₄	1	8	yes	complemented
54	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
55	C₂²×C₈×C₅₉	C₂³	1	2	yes	—
56	C₂²×C₈×C₅₉	C₂³	1	1	yes	characteristic
57	C₄×D₄×C₅₉	C₂×C₄	1	4	yes	—
58	C₄×D₄×C₅₉	Q₈	1	4	yes	—
59	C₂×C₄⋊C₄×C₅₉	D₄	1	1	yes	characteristic
60	C₂×C₂²⋊C₄×C₅₉	D₄	1	2	yes	—
61	C₂×C₄²×C₅₉	C₂³	1	1	yes	characteristic
62	C₄⋊C₈×C₅₉	C₂×C₄	1	4	yes	complemented
63	C₂²⋊C₈×C₅₉	C₂×C₄	1	8	yes	complemented
64	C₄×C₈×C₅₉	C₂×C₄	1	4	yes	complemented
65	C₂⁴×C₅₉	C₂×D₄	1	2	yes	—
66	C₂×D₄×C₅₉	C₄⋊C₄	1	4	yes	—
67	C₂×D₄×C₅₉	SD₁₆	1	8	yes	—
68	C₂²×C₄×C₅₉	—	2	2	no	—
69	C₂²×C₄×C₅₉	—	2	2	no	—
70	C₂²×C₄×C₅₉	—	2	2	no	—
71	C₂²×C₄×C₅₉	—	2	2	no	—
72	C₂²×C₄×C₅₉	C₂²×C₄	1	4	yes	—
73	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
74	C₂²×C₄×C₅₉	C₂×D₄	1	2	yes	—
75	C₂²×C₄×C₅₉	C₂×D₄	1	1	yes	characteristic
76	C₂²×C₄×C₅₉	C₂×Q₈	1	4	yes	—
77	C₂²×C₄×C₅₉	C₂⁴	1	1	yes	characteristic
78	C₂²×Dic₅₉	—	2	2	no	—
79	C₂²×Dic₅₉	—	2	2	no	—
80	C₂²×Dic₅₉	—	2	4	no	—
81	C₂²×Dic₅₉	—	4	8	no	—
82	C₂²×Dic₅₉	—	4	8	no	—
83	C₂²×Dic₅₉	—	8	4	no	—
84	C₂×C₈×C₅₉	—	2	2	no	—
85	C₂×C₈×C₅₉	—	2	2	no	—
86	C₂×C₈×C₅₉	—	2	1	no	—
87	C₂×C₈×C₅₉	—	2	1	no	—
88	C₂×C₈×C₅₉	—	2	16	no	—
89	C₂×C₈×C₅₉	C₂²×C₄	1	2	yes	—
90	C₂×C₈×C₅₉	C₂²×C₄	1	4	yes	—
91	C₂×C₈×C₅₉	C₂²×C₄	1	2	yes	—
92	C₂×C₈×C₅₉	C₂×D₄	1	2	yes	—
93	C₂×C₈×C₅₉	#41	1	2	yes	—
94	C₄⋊C₄×C₅₉	C₄⋊C₄	1	4	yes	—
95	C₂²⋊C₄×C₅₉	C₄⋊C₄	1	8	yes	—
96	C₄²×C₅₉	C₂²×C₄	1	2	yes	—
97	C₄²×C₅₉	C₂×Q₈	1	2	yes	—
98	C₂²⋊Dic₅₉	—	4	8	no	—
99	C₄⋊Dic₅₉	—	2	2	no	—
100	C₄⋊Dic₅₉	—	2	4	no	—
101	C₄⋊Dic₅₉	—	2	2	no	—
102	C₄⋊Dic₅₉	—	2	4	no	—
103	C₄⋊Dic₅₉	—	2	2	no	—
104	C₄⋊Dic₅₉	—	4	8	no	—
105	C₄⋊Dic₅₉	—	4	4	no	—
106	C₄⋊Dic₅₉	—	8	2	no	—
107	C₄⋊Dic₅₉	C₂×D₄	1	4	yes	—
108	C₄×Dic₅₉	—	4	4	no	—
109	C₂³×C₅₉	—	2	2	no	—
110	C₂³×C₅₉	—	2	2	no	—
111	C₂³×C₅₉	—	2	4	no	—
112	C₂³×C₅₉	C₂×C₄⋊C₄	1	4	yes	—
113	C₂³×C₅₉	C₂×SD₁₆	1	8	yes	—
114	C₂³×C₅₉	C₂²×D₄	1	1	yes	characteristic
115	D₄×C₅₉	#106	1	16	yes	complemented
116	C₂×C₄×C₅₉	—	2	2	no	—
117	C₂×C₄×C₅₉	—	2	2	no	—
118	C₂×C₄×C₅₉	—	2	2	no	—
119	C₂×C₄×C₅₉	—	2	4	no	—
120	C₂×C₄×C₅₉	—	2	4	no	—
121	C₂×C₄×C₅₉	—	2	4	no	—
122	C₂×C₄×C₅₉	—	2	4	no	—
123	C₂×C₄×C₅₉	C₂×C₄⋊C₄	1	2	yes	—
124	C₂×C₄×C₅₉	C₂×C₄⋊C₄	1	4	yes	—
125	C₂×C₄×C₅₉	C₂×C₄⋊C₄	1	2	yes	—
126	C₂×C₄×C₅₉	C₂×SD₁₆	1	4	yes	—
127	C₂×C₄×C₅₉	C₂³×C₄	1	1	yes	characteristic
128	C₂×C₄×C₅₉	C₂²×D₄	1	1	yes	characteristic
129	C₂×C₄×C₅₉	C₂²×Q₈	1	1	yes	characteristic
130	C₂×C₄×C₅₉	C₂×#41	1	1	yes	characteristic
131	C₂×C₄×C₅₉	H(5,𝔽₂)	1	1	yes	characteristic
132	C₂×C₄×C₅₉	2₋¹⁺⁴	1	1	yes	characteristic
133	C₂×Dic₅₉	—	2	4	no	—
134	C₂×Dic₅₉	—	4	2	no	—
135	C₂×Dic₅₉	—	4	2	no	—
136	C₂×Dic₅₉	—	4	4	no	—
137	C₂×Dic₅₉	—	4	2	no	—
138	C₂×Dic₅₉	—	4	2	no	—
139	C₂×Dic₅₉	—	4	4	no	—
140	C₂×Dic₅₉	—	4	4	no	—
141	C₂×Dic₅₉	—	4	2	no	—
142	C₂×Dic₅₉	—	8	16	no	—
143	C₈×C₅₉	—	2	4	no	—
144	C₈×C₅₉	—	2	2	no	—
145	C₈×C₅₉	C₄×D₄	1	4	yes	complemented
146	D₄×#106	—	59	1	no	maximal, Sylow
147	C₂²×C₅₉	—	2	8	no	—
148	C₂²×C₅₉	—	2	4	no	—
149	C₂²×C₅₉	—	2	4	no	—
150	C₂²×C₅₉	—	2	8	no	—
151	C₂²×C₅₉	C₂×#106	1	8	yes	complemented
152	C₂²×C₅₉	C₂²×C₄⋊C₄	1	1	yes	characteristic
153	C₂²×C₅₉	D₄²	1	1	yes	characteristic
154	C₂²×C₅₉	#547	1	1	yes	characteristic
155	C₂²×C₅₉	C₂²×SD₁₆	1	2	yes	—
156	C₂²×C₅₉	#577	1	2	yes	—
157	C₄×C₅₉	—	2	4	no	—
158	C₄×C₅₉	—	2	2	no	—
159	C₄×C₅₉	C₂×#106	1	4	yes	complemented
160	C₄×C₅₉	C₂×C₄×D₄	1	1	yes	characteristic
161	C₄×C₅₉	#520	1	1	yes	characteristic
162	C₄×C₅₉	D₄×Q₈	1	1	yes	characteristic
163	C₄×C₅₉	#554	1	1	yes	characteristic
164	Dic₅₉	—	4	4	no	—
165	Dic₅₉	—	8	2	no	—
166	Dic₅₉	—	8	4	no	—
167	C₂×C₈×D₄	D₅₉	1	1	yes	characteristic
168	C₂²×#106	—	59	2	no	—
169	D₄×C₄⋊C₄	—	59	2	no	—
170	#1948	—	59	2	no	—
171	#1853	—	59	4	no	—
172	#1844	—	59	1	no	—
173	#1807	—	59	2	no	—
174	C₄×#106	—	59	1	no	—
175	C₂×C₅₉	—	2	8	no	—
176	C₂×C₅₉	D₄×C₄⋊C₄	1	1	yes	characteristic
177	C₂×C₅₉	C₂²×#106	1	1	yes	characteristic
178	C₂×C₅₉	#2912	1	1	yes	characteristic
179	C₂×C₅₉	D₄×SD₁₆	1	2	yes	—
180	C₂×C₅₉	#3335	1	2	yes	—
181	C₂³×C₈	C₂×D₅₉	1	2	yes	—
182	C₂×C₄×D₄	—	118	2	no	—
183	C₂×C₄×D₄	C₂×D₅₉	1	1	yes	characteristic
184	C₂²×C₄⋊C₄	—	59	4	no	—
185	C₈×D₄	Dic₅₉	1	8	yes	complemented
186	C₂×#106	—	59	1	no	—
187	C₂×#106	—	59	1	no	—
188	C₂×#106	—	59	2	no	—
189	C₂×#106	—	59	4	no	—
190	C₂×#106	—	59	2	no	—
191	C₂×#106	—	118	8	no	—
192	C₂×C₄⋊C₈	C₂×D₅₉	1	1	yes	characteristic
193	C₂×C₂²⋊C₈	C₂×D₅₉	1	2	yes	—
194	C₂×C₄×C₈	C₂×D₅₉	1	1	yes	characteristic
195	#389	—	118	2	no	—
196	#385	—	118	4	no	—
197	#384	—	59	2	no	—
198	#380	—	59	4	no	—
199	C₄×C₄⋊C₄	—	59	2	no	—
200	#340	—	59	4	no	—
201	#340	—	59	2	no	—
202	C₅₉	D₄×#106	1	1	yes	characteristic, complemented, Sylow
203	C₂²×D₄	D₂₃₆	1	1	yes	characteristic
204	C₂³×C₄	—	118	4	no	—
205	C₂³×C₄	C₂²×D₅₉	1	2	yes	—
206	C₂²×C₈	—	2	4	no	—
207	C₂²×C₈	—	2	4	no	—
208	C₂²×C₈	C₂×Dic₅₉	1	8	yes	complemented
209	C₂²×C₈	C₂²×D₅₉	1	2	yes	—
210	C₂²×C₈	C₂²×D₅₉	1	1	yes	characteristic
211	C₂²×C₈	C₂²×D₅₉	1	1	yes	characteristic
212	C₄×D₄	—	236	8	no	—
213	C₄×D₄	Dic₁₁₈	1	4	yes	—
214	C₄×D₄	C₂×Dic₅₉	1	4	yes	—
215	C₂×C₄⋊C₄	—	59	2	no	—
216	C₂×C₄⋊C₄	—	59	4	no	—
217	C₂×C₄⋊C₄	—	59	2	no	—
218	C₂×C₄⋊C₄	—	118	8	no	—
219	C₂×C₄⋊C₄	—	118	2	no	—
220	C₂×C₄⋊C₄	—	118	4	no	—
221	C₂×C₄⋊C₄	—	118	2	no	—
222	C₂×C₄⋊C₄	—	236	4	no	—
223	C₂×C₄⋊C₄	D₂₃₆	1	1	yes	characteristic
224	C₂×C₂²⋊C₄	—	118	4	no	—
225	C₂×C₂²⋊C₄	D₂₃₆	1	2	yes	—
226	C₂×C₄²	—	118	2	no	—
227	C₂×C₄²	C₂²×D₅₉	1	1	yes	characteristic
228	#106	—	59	4	no	—
229	#106	—	118	8	no	—
230	#106	—	118	4	no	—
231	#106	—	118	2	no	—
232	#106	—	236	2	no	—
233	C₄⋊C₈	C₂×Dic₅₉	1	4	yes	complemented
234	C₂²⋊C₈	C₂×Dic₅₉	1	8	yes	complemented
235	C₄×C₈	C₂×Dic₅₉	1	4	yes	complemented
236	#95	—	118	2	no	—
237	#95	—	118	4	no	—
238	C₂⁴	C₂×D₂₃₆	1	2	yes	—
239	C₂×D₄	#11745660	1	8	yes	—
240	C₂×D₄	C₄⋊Dic₅₉	1	4	yes	—
241	C₂²×C₄	—	2	2	no	—
242	C₂²×C₄	—	2	2	no	—
243	C₂²×C₄	—	2	2	no	—
244	C₂²×C₄	—	2	2	no	—
245	C₂²×C₄	—	118	2	no	—
246	C₂²×C₄	—	118	2	no	—
247	C₂²×C₄	—	118	4	no	—
248	C₂²×C₄	—	472	4	no	—
249	C₂²×C₄	—	236	8	no	—
250	C₂²×C₄	—	236	8	no	—
251	C₂²×C₄	C₂×Dic₁₁₈	1	4	yes	—
252	C₂²×C₄	C₂×D₂₃₆	1	1	yes	characteristic
253	C₂²×C₄	C₂×D₂₃₆	1	2	yes	—
254	C₂²×C₄	C₂×D₂₃₆	1	1	yes	characteristic
255	C₂²×C₄	C₂²×Dic₅₉	1	4	yes	—
256	C₂²×C₄	C₂³×D₅₉	1	1	yes	characteristic
257	C₂×C₈	—	2	2	no	—
258	C₂×C₈	—	2	2	no	—
259	C₂×C₈	—	2	1	no	—
260	C₂×C₈	—	2	1	no	—
261	C₂×C₈	—	2	16	no	—
262	C₂×C₈	D₄×D₅₉	1	2	yes	—
263	C₂×C₈	#11745687	1	2	yes	—
264	C₂×C₈	C₂²×Dic₅₉	1	2	yes	—
265	C₂×C₈	C₂²×Dic₅₉	1	4	yes	—
266	C₂×C₈	C₂²×Dic₅₉	1	2	yes	—
267	C₄⋊C₄	—	59	4	no	—
268	C₄⋊C₄	—	118	2	no	—
269	C₄⋊C₄	—	118	4	no	—
270	C₄⋊C₄	—	118	2	no	—
271	C₄⋊C₄	—	118	4	no	—
272	C₄⋊C₄	—	118	2	no	—
273	C₄⋊C₄	—	472	2	no	—
274	C₄⋊C₄	—	236	8	no	—
275	C₄⋊C₄	—	236	4	no	—
276	C₄⋊C₄	C₄⋊Dic₅₉	1	4	yes	—
277	C₂²⋊C₄	—	236	8	no	—
278	C₂²⋊C₄	C₄⋊Dic₅₉	1	8	yes	—
279	C₄²	—	236	4	no	—
280	C₄²	C₂×Dic₁₁₈	1	2	yes	—
281	C₄²	C₂²×Dic₅₉	1	2	yes	—
282	C₂³	—	2	4	no	—
283	C₂³	—	2	2	no	—
284	C₂³	—	2	2	no	—
285	C₂³	C₂×C₄⋊Dic₅₉	1	4	yes	—
286	C₂³	C₂×#11745660	1	8	yes	—
287	C₂³	C₂²×D₂₃₆	1	1	yes	characteristic
288	D₄	#14273659	1	16	yes	direct product factor
289	C₂×C₄	—	2	2	no	—
290	C₂×C₄	—	2	2	no	—
291	C₂×C₄	—	2	2	no	—
292	C₂×C₄	—	2	4	no	—
293	C₂×C₄	—	2	4	no	—
294	C₂×C₄	—	2	4	no	—
295	C₂×C₄	—	2	4	no	—
296	C₂×C₄	—	118	4	no	—
297	C₂×C₄	—	472	16	no	—
298	C₂×C₄	—	236	2	no	—
299	C₂×C₄	—	236	4	no	—
300	C₂×C₄	—	236	4	no	—
301	C₂×C₄	—	236	2	no	—
302	C₂×C₄	—	236	4	no	—
303	C₂×C₄	—	236	2	no	—
304	C₂×C₄	—	236	2	no	—
305	C₂×C₄	—	236	2	no	—
306	C₂×C₄	C₂×C₄⋊Dic₅₉	1	2	yes	—
307	C₂×C₄	C₂×C₄⋊Dic₅₉	1	4	yes	—
308	C₂×C₄	C₂×C₄⋊Dic₅₉	1	2	yes	—
309	C₂×C₄	C₂×#11745660	1	4	yes	—
310	C₂×C₄	C₂³×Dic₅₉	1	1	yes	characteristic
311	C₂×C₄	C₂×D₄×D₅₉	1	1	yes	characteristic
312	C₂×C₄	C₂²×Dic₁₁₈	1	1	yes	characteristic
313	C₂×C₄	C₂×#11745687	1	1	yes	characteristic
314	C₂×C₄	#14273773	1	1	yes	characteristic
315	C₂×C₄	#14273774	1	1	yes	characteristic
316	C₈	—	2	4	no	—
317	C₈	—	2	2	no	—
318	C₈	D₄×Dic₅₉	1	4	yes	complemented
319	C₂²	—	2	8	no	—
320	C₂²	—	2	4	no	—
321	C₂²	—	2	4	no	—
322	C₂²	—	2	8	no	—
323	C₂²	C₂×#14273659	1	8	yes	complemented
324	C₂²	C₂²×C₄⋊Dic₅₉	1	1	yes	characteristic
325	C₂²	D₄×D₂₃₆	1	1	yes	characteristic
326	C₂²	#16838056	1	1	yes	characteristic
327	C₂²	C₂²×#11745660	1	2	yes	—
328	C₂²	#16838214	1	2	yes	—
329	C₄	—	2	4	no	—
330	C₄	—	2	2	no	—
331	C₄	—	472	2	no	—
332	C₄	—	472	4	no	—
333	C₄	—	236	4	no	—
334	C₄	C₂×#14273659	1	4	yes	complemented
335	C₄	C₂×D₄×Dic₅₉	1	1	yes	characteristic
336	C₄	#16837885	1	1	yes	characteristic
337	C₄	D₄×Dic₁₁₈	1	1	yes	characteristic
338	C₄	#16838109	1	1	yes	characteristic
339	C₂	—	2	8	no	—
340	C₂	D₄×C₄⋊Dic₅₉	1	1	yes	characteristic
341	C₂	C₂²×#14273659	1	1	yes	characteristic
342	C₂	#21432691	1	1	yes	characteristic
343	C₂	D₄×#11745660	1	2	yes	—
344	C₂	#21436454	1	2	yes	—

	subgroup	G/H
center	C₂³	C₂²×D₂₃₆
commutator	C₂×C₄×C₅₉	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₅₉
Fitting	C₂×C₈×D₄×C₅₉	C₂
socle	C₂³×C₅₉	C₂²×D₄
prime radical	C₂²×D₄×C₅₉	D₄
cosocle	C₂²×C₄×C₅₉	C₂⁴
hypercenter	C₂×C₈×D₄	D₅₉
hypocenter	C₅₉	D₄×#106
LCS	G ▷ C₂×C₄×C₅₉ ▷ C₂×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂³ ◁ C₂×C₄×D₄ ◁ C₂×C₈×D₄

Complements

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

N	H ≅ G/N	type
1. C₂²×#14273659	C₂	semidirect
3. #21424860	C₂	semidirect
4. #21424291	C₂	semidirect
5. #21424253	C₂	semidirect
6. #21424121	C₂	semidirect
7. C₄×#14273659	C₂	semidirect
26. C₈×D₄×C₅₉	C₄	semidirect
46. #14273659	D₄	direct (N × H)
53. C₂²×C₈×C₅₉	C₂×C₄	semidirect
62. C₄⋊C₈×C₅₉	C₂×C₄	semidirect
63. C₂²⋊C₈×C₅₉	C₂×C₄	semidirect
64. C₄×C₈×C₅₉	C₂×C₄	semidirect
115. D₄×C₅₉	#106	semidirect
145. C₈×C₅₉	C₄×D₄	semidirect
151. C₂²×C₅₉	C₂×#106	semidirect
159. C₄×C₅₉	C₂×#106	semidirect
185. C₈×D₄	Dic₅₉	semidirect
202. C₅₉	D₄×#106	semidirect
208. C₂²×C₈	C₂×Dic₅₉	semidirect
233. C₄⋊C₈	C₂×Dic₅₉	semidirect
234. C₂²⋊C₈	C₂×Dic₅₉	semidirect
235. C₄×C₈	C₂×Dic₅₉	semidirect
288. D₄	#14273659	direct (N × H)
318. C₈	D₄×Dic₅₉	semidirect
323. C₂²	C₂×#14273659	semidirect
334. C₄	C₂×#14273659	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#14273659	2
D₄×C₄⋊Dic₅₉	2
#21424860	2
#21424291	2
#21424253	2
#21424121	2
C₄×#14273659	2
C₂×C₈×D₄×C₅₉	2
D₄×#106	59

Subgroups — D4×#14273659 #28606788

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄×#14273659 #28606788