Subgroups — C₁₃₉×#21933 #48016529

Order 35584.

1114 conjugacy classes of subgroups.

The subgroup lattice has 330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#407×C₁₃₉	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₂²⋊C₈×C₁₃₉	C₂	1	1	yes	maximal, characteristic
3	#2280×C₁₃₉	C₂	1	1	yes	maximal, characteristic
4	#1851×C₁₃₉	C₂	1	4	yes	maximal, complemented
5	#1850×C₁₃₉	C₂	1	4	yes	maximal, complemented
6	#1798×C₁₃₉	C₂	1	4	yes	maximal, complemented
7	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
8	C₂²×M₁₆×C₁₃₉	C₂²	1	2	yes	—
9	C₂³×C₈×C₁₃₉	C₂²	1	2	yes	—
10	C₂×#117×C₁₃₉	C₂²	1	2	yes	—
11	C₂×C₄⋊C₈×C₁₃₉	C₂²	1	8	yes	complemented
12	#407×C₁₃₉	—	2	4	no	—
13	C₂×C₂²⋊C₈×C₁₃₉	—	2	4	no	—
14	C₂×C₂²⋊C₈×C₁₃₉	C₂²	1	2	yes	—
15	C₂×C₂²⋊C₈×C₁₃₉	C₂²	1	2	yes	—
16	C₂×C₂²⋊C₈×C₁₃₉	C₂²	1	2	yes	—
17	C₂×C₂²⋊C₈×C₁₃₉	C₂²	1	2	yes	—
18	#381×C₁₃₉	C₄	1	2	yes	—
19	#380×C₁₃₉	C₄	1	2	yes	—
20	#380×C₁₃₉	C₄	1	2	yes	—
21	#379×C₁₃₉	C₄	1	2	yes	—
22	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
23	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
24	#336×C₁₃₉	C₂²	1	8	yes	complemented
25	C₂⁵×C₁₃₉	C₂×C₄	1	1	yes	characteristic
26	C₂³×C₄×C₁₃₉	—	4	4	no	—
27	C₂³×C₄×C₁₃₉	C₂×C₄	1	1	yes	characteristic
28	C₂³×C₄×C₁₃₉	C₂×C₄	1	1	yes	characteristic
29	C₂³×C₄×C₁₃₉	C₂×C₄	1	1	yes	characteristic
30	C₂³×C₄×C₁₃₉	D₄	1	4	yes	—
31	C₂³×C₄×C₁₃₉	Q₈	1	4	yes	—
32	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
33	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
34	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
35	C₂×M₁₆×C₁₃₉	—	2	4	no	—
36	C₂×M₁₆×C₁₃₉	—	4	4	no	—
37	C₂²×C₈×C₁₃₉	—	2	4	no	—
38	C₂²×C₈×C₁₃₉	—	4	4	no	—
39	C₂²×C₈×C₁₃₉	C₂³	1	4	yes	—
40	C₂²×C₈×C₁₃₉	C₂³	1	4	yes	—
41	#117×C₁₃₉	—	4	4	no	—
42	C₂×C₄⋊C₄×C₁₃₉	C₂×C₄	1	4	yes	—
43	C₂×C₂²⋊C₄×C₁₃₉	C₂×C₄	1	4	yes	—
44	C₂×C₂²⋊C₄×C₁₃₉	C₂×C₄	1	4	yes	—
45	C₂×C₂²⋊C₄×C₁₃₉	C₂×C₄	1	4	yes	—
46	C₂×C₄²×C₁₃₉	C₂³	1	4	yes	—
47	C₄⋊C₈×C₁₃₉	—	4	8	no	—
48	C₂²⋊C₈×C₁₃₉	—	2	4	no	—
49	C₂²⋊C₈×C₁₃₉	—	2	4	no	—
50	C₂²⋊C₈×C₁₃₉	—	2	4	no	—
51	C₂²⋊C₈×C₁₃₉	—	2	4	no	—
52	#95×C₁₃₉	C₂×C₄	1	4	yes	—
53	#95×C₁₃₉	C₂×C₄	1	4	yes	—
54	C₂⁴×C₁₃₉	—	2	4	no	—
55	C₂⁴×C₁₃₉	—	4	2	no	—
56	C₂⁴×C₁₃₉	—	4	2	no	—
57	C₂⁴×C₁₃₉	C₄⋊C₄	1	4	yes	—
58	C₂⁴×C₁₃₉	C₂²×C₄	1	1	yes	characteristic
59	C₂⁴×C₁₃₉	C₂²×C₄	1	1	yes	characteristic
60	C₂⁴×C₁₃₉	C₂²×C₄	1	1	yes	characteristic
61	C₂²×C₄×C₁₃₉	—	2	4	no	—
62	C₂²×C₄×C₁₃₉	—	2	4	no	—
63	C₂²×C₄×C₁₃₉	—	2	4	no	—
64	C₂²×C₄×C₁₃₉	—	4	8	no	—
65	C₂²×C₄×C₁₃₉	—	4	8	no	—
66	C₂²×C₄×C₁₃₉	—	4	2	no	—
67	C₂²×C₄×C₁₃₉	—	4	2	no	—
68	C₂²×C₄×C₁₃₉	—	4	2	no	—
69	C₂²×C₄×C₁₃₉	C₄⋊C₄	1	4	yes	—
70	C₂²×C₄×C₁₃₉	C₄⋊C₄	1	4	yes	—
71	C₂²×C₄×C₁₃₉	C₄⋊C₄	1	4	yes	—
72	C₂²×C₄×C₁₃₉	C₂²×C₄	1	8	yes	—
73	C₂²×C₄×C₁₃₉	C₂²×C₄	1	1	yes	characteristic
74	C₂²×C₄×C₁₃₉	C₂²×C₄	1	1	yes	characteristic
75	C₂²×C₄×C₁₃₉	C₂²×C₄	1	1	yes	characteristic
76	C₂²×C₄×C₁₃₉	C₂×D₄	1	2	yes	—
77	C₂²×C₄×C₁₃₉	C₂×D₄	1	2	yes	—
78	C₂²×C₄×C₁₃₉	C₂×D₄	1	2	yes	—
79	C₂²×C₄×C₁₃₉	C₂×Q₈	1	2	yes	—
80	C₂²×C₄×C₁₃₉	C₂×Q₈	1	2	yes	—
81	C₂²×C₄×C₁₃₉	C₂×Q₈	1	2	yes	—
82	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
83	M₁₆×C₁₃₉	—	4	8	no	—
84	C₂×C₈×C₁₃₉	—	2	4	no	—
85	C₂×C₈×C₁₃₉	—	2	4	no	—
86	C₂×C₈×C₁₃₉	—	2	8	no	—
87	C₂×C₈×C₁₃₉	—	2	8	no	—
88	C₂×C₈×C₁₃₉	—	4	8	no	—
89	C₄⋊C₄×C₁₃₉	—	4	4	no	—
90	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
91	C₂²⋊C₄×C₁₃₉	—	4	4	no	—
92	C₂²⋊C₄×C₁₃₉	—	4	4	no	—
93	C₄²×C₁₃₉	—	2	8	no	—
94	C₂³×C₁₃₉	—	2	2	no	—
95	C₂³×C₁₃₉	—	2	2	no	—
96	C₂³×C₁₃₉	—	2	2	no	—
97	C₂³×C₁₃₉	—	2	2	no	—
98	C₂³×C₁₃₉	—	2	2	no	—
99	C₂³×C₁₃₉	—	2	2	no	—
100	C₂³×C₁₃₉	—	2	2	no	—
101	C₂³×C₁₃₉	—	2	2	no	—
102	C₂³×C₁₃₉	—	2	8	no	—
103	C₂³×C₁₃₉	—	4	4	no	—
104	C₂³×C₁₃₉	—	4	4	no	—
105	C₂³×C₁₃₉	—	4	16	no	—
106	C₂³×C₁₃₉	C₂×C₄⋊C₄	1	2	yes	—
107	C₂³×C₁₃₉	C₂×C₄⋊C₄	1	2	yes	—
108	C₂³×C₁₃₉	C₂×C₄⋊C₄	1	2	yes	—
109	C₂³×C₁₃₉	#131	1	4	yes	—
110	C₂³×C₁₃₉	C₂³×C₄	1	1	yes	characteristic
111	C₂×C₄×C₁₃₉	—	2	2	no	—
112	C₂×C₄×C₁₃₉	—	2	2	no	—
113	C₂×C₄×C₁₃₉	—	2	2	no	—
114	C₂×C₄×C₁₃₉	—	2	4	no	—
115	C₂×C₄×C₁₃₉	—	2	4	no	—
116	C₂×C₄×C₁₃₉	—	2	4	no	—
117	C₂×C₄×C₁₃₉	—	2	4	no	—
118	C₂×C₄×C₁₃₉	—	2	4	no	—
119	C₂×C₄×C₁₃₉	—	2	4	no	—
120	C₂×C₄×C₁₃₉	—	2	8	no	—
121	C₂×C₄×C₁₃₉	—	2	8	no	—
122	C₂×C₄×C₁₃₉	—	2	8	no	—
123	C₂×C₄×C₁₃₉	—	4	4	no	—
124	C₂×C₄×C₁₃₉	—	4	4	no	—
125	C₂×C₄×C₁₃₉	—	4	4	no	—
126	C₂×C₄×C₁₃₉	C₂×C₄⋊C₄	1	2	yes	—
127	C₂×C₄×C₁₃₉	C₂×C₄⋊C₄	1	2	yes	—
128	C₂×C₄×C₁₃₉	C₂×C₄⋊C₄	1	2	yes	—
129	C₂×C₄×C₁₃₉	C₂²×D₄	1	1	yes	characteristic
130	C₂×C₄×C₁₃₉	C₂²×Q₈	1	1	yes	characteristic
131	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	4	yes	—
132	C₈×C₁₃₉	—	4	4	no	—
133	C₈×C₁₃₉	—	4	4	no	—
134	C₂²×C₁₃₉	—	2	2	no	—
135	C₂²×C₁₃₉	—	2	2	no	—
136	C₂²×C₁₃₉	—	2	8	no	—
137	C₂²×C₁₃₉	—	2	2	no	—
138	C₂²×C₁₃₉	—	2	2	no	—
139	C₂²×C₁₃₉	—	2	2	no	—
140	C₂²×C₁₃₉	—	2	2	no	—
141	C₂²×C₁₃₉	—	2	2	no	—
142	C₂²×C₁₃₉	—	2	2	no	—
143	C₂²×C₁₃₉	—	4	16	no	—
144	C₂²×C₁₃₉	—	4	4	no	—
145	C₂²×C₁₃₉	—	4	4	no	—
146	C₂²×C₁₃₉	#424	1	4	yes	—
147	C₂²×C₁₃₉	C₂²×C₄⋊C₄	1	1	yes	characteristic
148	C₂²×C₁₃₉	#518	1	2	yes	—
149	C₂²×C₁₃₉	C₂×#131	1	2	yes	—
150	C₂²×C₁₃₉	#568	1	2	yes	—
151	C₄×C₁₃₉	—	2	2	no	—
152	C₄×C₁₃₉	—	2	2	no	—
153	C₄×C₁₃₉	—	2	2	no	—
154	C₄×C₁₃₉	—	4	8	no	—
155	C₄×C₁₃₉	#534	1	2	yes	—
156	C₄×C₁₃₉	#543	1	2	yes	—
157	C₂×C₁₃₉	—	2	4	no	—
158	C₂×C₁₃₉	—	4	2	no	—
159	C₂×C₁₃₉	—	4	2	no	—
160	C₂×C₁₃₉	#2315	1	1	yes	characteristic
161	C₂×C₁₃₉	C₂×#424	1	1	yes	characteristic
162	C₂×C₁₃₉	#2905	1	1	yes	characteristic
163	C₂×C₁₃₉	#2976	1	4	yes	—
164	#21933	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
165	C₁₃₉	#21933	1	1	yes	characteristic, direct product factor, Sylow
166	C₂×#407	C₂×C₁₃₉	1	1	yes	characteristic
167	C₂²×C₂²⋊C₈	C₂×C₁₃₉	1	1	yes	characteristic
168	#2280	C₂×C₁₃₉	1	1	yes	characteristic
169	#1851	C₂×C₁₃₉	1	4	yes	complemented
170	#1850	C₂×C₁₃₉	1	4	yes	complemented
171	#1798	C₂×C₁₃₉	1	4	yes	complemented
172	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
173	C₂²×M₁₆	C₂²×C₁₃₉	1	2	yes	—
174	C₂³×C₈	C₂²×C₁₃₉	1	2	yes	—
175	C₂×#117	C₂²×C₁₃₉	1	2	yes	—
176	C₂×C₄⋊C₈	C₂²×C₁₃₉	1	8	yes	complemented
177	#407	—	2	4	no	—
178	C₂×C₂²⋊C₈	—	2	4	no	—
179	C₂×C₂²⋊C₈	C₂²×C₁₃₉	1	2	yes	—
180	C₂×C₂²⋊C₈	C₂²×C₁₃₉	1	2	yes	—
181	C₂×C₂²⋊C₈	C₂²×C₁₃₉	1	2	yes	—
182	C₂×C₂²⋊C₈	C₂²×C₁₃₉	1	2	yes	—
183	#381	C₄×C₁₃₉	1	2	yes	—
184	#380	C₄×C₁₃₉	1	2	yes	—
185	#380	C₄×C₁₃₉	1	2	yes	—
186	#379	C₄×C₁₃₉	1	2	yes	—
187	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
188	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
189	#336	C₂²×C₁₃₉	1	8	yes	complemented
190	C₂⁵	C₂×C₄×C₁₃₉	1	1	yes	characteristic
191	C₂³×C₄	—	4	4	no	—
192	C₂³×C₄	C₂×C₄×C₁₃₉	1	1	yes	characteristic
193	C₂³×C₄	C₂×C₄×C₁₃₉	1	1	yes	characteristic
194	C₂³×C₄	C₂×C₄×C₁₃₉	1	1	yes	characteristic
195	C₂³×C₄	D₄×C₁₃₉	1	4	yes	—
196	C₂³×C₄	Q₈×C₁₃₉	1	4	yes	—
197	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
198	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
199	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
200	C₂×M₁₆	—	2	4	no	—
201	C₂×M₁₆	—	4	4	no	—
202	C₂²×C₈	—	2	4	no	—
203	C₂²×C₈	—	4	4	no	—
204	C₂²×C₈	C₂³×C₁₃₉	1	4	yes	—
205	C₂²×C₈	C₂³×C₁₃₉	1	4	yes	—
206	#117	—	4	4	no	—
207	C₂×C₄⋊C₄	C₂×C₄×C₁₃₉	1	4	yes	—
208	C₂×C₂²⋊C₄	C₂×C₄×C₁₃₉	1	4	yes	—
209	C₂×C₂²⋊C₄	C₂×C₄×C₁₃₉	1	4	yes	—
210	C₂×C₂²⋊C₄	C₂×C₄×C₁₃₉	1	4	yes	—
211	C₂×C₄²	C₂³×C₁₃₉	1	4	yes	—
212	C₄⋊C₈	—	4	8	no	—
213	C₂²⋊C₈	—	2	4	no	—
214	C₂²⋊C₈	—	2	4	no	—
215	C₂²⋊C₈	—	2	4	no	—
216	C₂²⋊C₈	—	2	4	no	—
217	#95	C₂×C₄×C₁₃₉	1	4	yes	—
218	#95	C₂×C₄×C₁₃₉	1	4	yes	—
219	C₂⁴	—	2	4	no	—
220	C₂⁴	—	4	2	no	—
221	C₂⁴	—	4	2	no	—
222	C₂⁴	C₄⋊C₄×C₁₃₉	1	4	yes	—
223	C₂⁴	C₂²×C₄×C₁₃₉	1	1	yes	characteristic
224	C₂⁴	C₂²×C₄×C₁₃₉	1	1	yes	characteristic
225	C₂⁴	C₂²×C₄×C₁₃₉	1	1	yes	characteristic
226	C₂²×C₄	—	2	4	no	—
227	C₂²×C₄	—	2	4	no	—
228	C₂²×C₄	—	2	4	no	—
229	C₂²×C₄	—	4	8	no	—
230	C₂²×C₄	—	4	8	no	—
231	C₂²×C₄	—	4	2	no	—
232	C₂²×C₄	—	4	2	no	—
233	C₂²×C₄	—	4	2	no	—
234	C₂²×C₄	C₄⋊C₄×C₁₃₉	1	4	yes	—
235	C₂²×C₄	C₄⋊C₄×C₁₃₉	1	4	yes	—
236	C₂²×C₄	C₄⋊C₄×C₁₃₉	1	4	yes	—
237	C₂²×C₄	C₂²×C₄×C₁₃₉	1	8	yes	—
238	C₂²×C₄	C₂²×C₄×C₁₃₉	1	1	yes	characteristic
239	C₂²×C₄	C₂²×C₄×C₁₃₉	1	1	yes	characteristic
240	C₂²×C₄	C₂²×C₄×C₁₃₉	1	1	yes	characteristic
241	C₂²×C₄	C₂×D₄×C₁₃₉	1	2	yes	—
242	C₂²×C₄	C₂×D₄×C₁₃₉	1	2	yes	—
243	C₂²×C₄	C₂×D₄×C₁₃₉	1	2	yes	—
244	C₂²×C₄	C₂×Q₈×C₁₃₉	1	2	yes	—
245	C₂²×C₄	C₂×Q₈×C₁₃₉	1	2	yes	—
246	C₂²×C₄	C₂×Q₈×C₁₃₉	1	2	yes	—
247	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
248	M₁₆	—	4	8	no	—
249	C₂×C₈	—	2	4	no	—
250	C₂×C₈	—	2	4	no	—
251	C₂×C₈	—	2	8	no	—
252	C₂×C₈	—	2	8	no	—
253	C₂×C₈	—	4	8	no	—
254	C₄⋊C₄	—	4	4	no	—
255	C₂²⋊C₄	—	2	8	no	—
256	C₂²⋊C₄	—	4	4	no	—
257	C₂²⋊C₄	—	4	4	no	—
258	C₄²	—	2	8	no	—
259	C₂³	—	2	2	no	—
260	C₂³	—	2	2	no	—
261	C₂³	—	2	8	no	—
262	C₂³	—	2	2	no	—
263	C₂³	—	2	2	no	—
264	C₂³	—	2	2	no	—
265	C₂³	—	2	2	no	—
266	C₂³	—	2	2	no	—
267	C₂³	—	2	2	no	—
268	C₂³	—	4	4	no	—
269	C₂³	—	4	4	no	—
270	C₂³	—	4	16	no	—
271	C₂³	C₂×C₄⋊C₄×C₁₃₉	1	2	yes	—
272	C₂³	C₂×C₄⋊C₄×C₁₃₉	1	2	yes	—
273	C₂³	C₂×C₄⋊C₄×C₁₃₉	1	2	yes	—
274	C₂³	#131×C₁₃₉	1	4	yes	—
275	C₂³	C₂³×C₄×C₁₃₉	1	1	yes	characteristic
276	C₂×C₄	—	2	2	no	—
277	C₂×C₄	—	2	2	no	—
278	C₂×C₄	—	2	2	no	—
279	C₂×C₄	—	2	4	no	—
280	C₂×C₄	—	2	4	no	—
281	C₂×C₄	—	2	4	no	—
282	C₂×C₄	—	2	4	no	—
283	C₂×C₄	—	2	4	no	—
284	C₂×C₄	—	2	4	no	—
285	C₂×C₄	—	2	8	no	—
286	C₂×C₄	—	2	8	no	—
287	C₂×C₄	—	2	8	no	—
288	C₂×C₄	—	4	4	no	—
289	C₂×C₄	—	4	4	no	—
290	C₂×C₄	—	4	4	no	—
291	C₂×C₄	C₂×C₄⋊C₄×C₁₃₉	1	2	yes	—
292	C₂×C₄	C₂×C₄⋊C₄×C₁₃₉	1	2	yes	—
293	C₂×C₄	C₂×C₄⋊C₄×C₁₃₉	1	2	yes	—
294	C₂×C₄	C₂²×D₄×C₁₃₉	1	1	yes	characteristic
295	C₂×C₄	C₂²×Q₈×C₁₃₉	1	1	yes	characteristic
296	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	4	yes	—
297	C₈	—	4	4	no	—
298	C₈	—	4	4	no	—
299	C₂²	—	2	2	no	—
300	C₂²	—	2	2	no	—
301	C₂²	—	2	8	no	—
302	C₂²	—	2	2	no	—
303	C₂²	—	2	2	no	—
304	C₂²	—	2	2	no	—
305	C₂²	—	2	2	no	—
306	C₂²	—	2	2	no	—
307	C₂²	—	2	2	no	—
308	C₂²	—	4	16	no	—
309	C₂²	—	4	4	no	—
310	C₂²	—	4	4	no	—
311	C₂²	#424×C₁₃₉	1	4	yes	—
312	C₂²	C₂²×C₄⋊C₄×C₁₃₉	1	1	yes	characteristic
313	C₂²	#518×C₁₃₉	1	2	yes	—
314	C₂²	C₂×#131×C₁₃₉	1	2	yes	—
315	C₂²	#568×C₁₃₉	1	2	yes	—
316	C₄	—	2	2	no	—
317	C₄	—	2	2	no	—
318	C₄	—	2	2	no	—
319	C₄	—	4	8	no	—
320	C₄	#534×C₁₃₉	1	2	yes	—
321	C₄	#543×C₁₃₉	1	2	yes	—
322	C₂	—	2	4	no	—
323	C₂	—	4	2	no	—
324	C₂	—	4	2	no	—
325	C₂	#2315×C₁₃₉	1	1	yes	characteristic
326	C₂	C₂×#424×C₁₃₉	1	1	yes	characteristic
327	C₂	#2905×C₁₃₉	1	1	yes	characteristic
328	C₂	#2976×C₁₃₉	1	4	yes	—

	subgroup	G/H
center	C₂²×C₄×C₁₃₉	C₂⁴
commutator	C₂³	C₂³×C₄×C₁₃₉
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃₉
socle	C₂³×C₁₃₉	C₂³×C₄
prime radical	C₂⁵×C₁₃₉	C₂×C₄
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₁₃₉ ◁ G

Complements

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

N	H ≅ G/N	type
4. #1851×C₁₃₉	C₂	semidirect
5. #1850×C₁₃₉	C₂	semidirect
6. #1798×C₁₃₉	C₂	semidirect
11. C₂×C₄⋊C₈×C₁₃₉	C₂²	semidirect
24. #336×C₁₃₉	C₂²	semidirect
164. #21933	C₁₃₉	direct (N × H)
165. C₁₃₉	#21933	direct (N × H)
169. #1851	C₂×C₁₃₉	semidirect
170. #1850	C₂×C₁₃₉	semidirect
171. #1798	C₂×C₁₃₉	semidirect
176. C₂×C₄⋊C₈	C₂²×C₁₃₉	semidirect
189. #336	C₂²×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#407×C₁₃₉	2
C₂²×C₂²⋊C₈×C₁₃₉	2
#2280×C₁₃₉	2
#1851×C₁₃₉	2
#1850×C₁₃₉	2
#1798×C₁₃₉	2
#21933	139

Subgroups — C139×#21933 #48016529

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#21933 #48016529