Subgroups — C₁₃₉×#13775 #48008371

Order 35584.

3566 conjugacy classes of subgroups.

The subgroup lattice has 354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic
2	C₂×#379×C₁₃₉	C₂	1	2	yes	maximal
3	C₂×C₄×C₂²⋊C₄×C₁₃₉	C₂	1	2	yes	maximal, complemented
4	#1437×C₁₃₉	C₂	1	8	yes	maximal, complemented
5	C₂²⋊#95×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	C₂⁶×C₁₃₉	C₂²	1	1	yes	characteristic
7	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
8	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
9	C₂²×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
10	C₂²×C₂²⋊C₄×C₁₃₉	C₄	1	8	yes	complemented
11	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	4	yes	—
12	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	4	yes	—
13	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	8	yes	—
14	C₂²×C₄²×C₁₃₉	C₂²	1	4	yes	complemented
15	#379×C₁₃₉	C₄	1	16	yes	complemented
16	C₄×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
17	C₂×#95×C₁₃₉	C₂²	1	4	yes	complemented
18	C₂×#95×C₁₃₉	C₂²	1	8	yes	complemented
19	C₂⁵×C₁₃₉	—	2	4	no	—
20	C₂⁵×C₁₃₉	—	2	4	no	—
21	C₂⁵×C₁₃₉	—	4	4	no	—
22	C₂⁵×C₁₃₉	—	4	4	no	—
23	C₂⁵×C₁₃₉	C₂×C₄	1	4	yes	—
24	C₂⁵×C₁₃₉	C₂×C₄	1	8	yes	—
25	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
26	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
27	C₂³×C₄×C₁₃₉	—	2	4	no	—
28	C₂³×C₄×C₁₃₉	—	4	4	no	—
29	C₂³×C₄×C₁₃₉	—	4	4	no	—
30	C₂³×C₄×C₁₃₉	C₂×C₄	1	4	yes	—
31	C₂³×C₄×C₁₃₉	C₂×C₄	1	4	yes	—
32	C₂³×C₄×C₁₃₉	D₄	1	8	yes	—
33	C₂³×C₄×C₁₃₉	C₂³	1	8	yes	—
34	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
35	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
36	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
37	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
38	C₂×C₂²⋊C₄×C₁₃₉	—	2	32	no	—
39	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
40	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
41	C₂×C₂²⋊C₄×C₁₃₉	—	4	8	no	—
42	C₂×C₂²⋊C₄×C₁₃₉	—	4	8	no	—
43	C₂×C₂²⋊C₄×C₁₃₉	C₂×C₄	1	16	yes	—
44	C₂×C₂²⋊C₄×C₁₃₉	C₂×C₄	1	16	yes	—
45	C₂×C₂²⋊C₄×C₁₃₉	C₂×C₄	1	32	yes	complemented
46	C₂×C₄²×C₁₃₉	—	2	8	no	—
47	C₂×C₄²×C₁₃₉	—	4	8	no	—
48	#95×C₁₃₉	—	2	8	no	—
49	#95×C₁₃₉	—	4	8	no	—
50	C₂⁴×C₁₃₉	—	2	4	no	—
51	C₂⁴×C₁₃₉	—	2	4	no	—
52	C₂⁴×C₁₃₉	—	2	8	no	—
53	C₂⁴×C₁₃₉	—	2	8	no	—
54	C₂⁴×C₁₃₉	—	2	32	no	—
55	C₂⁴×C₁₃₉	—	2	4	no	—
56	C₂⁴×C₁₃₉	—	2	4	no	—
57	C₂⁴×C₁₃₉	—	2	8	no	—
58	C₂⁴×C₁₃₉	—	2	8	no	—
59	C₂⁴×C₁₃₉	—	4	8	no	—
60	C₂⁴×C₁₃₉	—	4	8	no	—
61	C₂⁴×C₁₃₉	—	4	32	no	—
62	C₂⁴×C₁₃₉	—	4	16	no	—
63	C₂⁴×C₁₃₉	—	4	16	no	—
64	C₂⁴×C₁₃₉	—	4	32	no	—
65	C₂⁴×C₁₃₉	C₄²	1	16	yes	complemented
66	C₂⁴×C₁₃₉	C₂²×C₄	1	4	yes	—
67	C₂⁴×C₁₃₉	C₂²×C₄	1	8	yes	—
68	C₂⁴×C₁₃₉	C₂²×C₄	1	2	yes	—
69	C₂⁴×C₁₃₉	C₂²×C₄	1	4	yes	—
70	C₂⁴×C₁₃₉	C₂×D₄	1	4	yes	—
71	C₂⁴×C₁₃₉	#41	1	4	yes	—
72	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
73	C₂²×C₄×C₁₃₉	—	2	8	no	—
74	C₂²×C₄×C₁₃₉	—	2	8	no	—
75	C₂²×C₄×C₁₃₉	—	2	8	no	—
76	C₂²×C₄×C₁₃₉	—	2	4	no	—
77	C₂²×C₄×C₁₃₉	—	2	8	no	—
78	C₂²×C₄×C₁₃₉	—	2	16	no	—
79	C₂²×C₄×C₁₃₉	—	2	8	no	—
80	C₂²×C₄×C₁₃₉	—	2	16	no	—
81	C₂²×C₄×C₁₃₉	—	4	8	no	—
82	C₂²×C₄×C₁₃₉	—	4	8	no	—
83	C₂²×C₄×C₁₃₉	—	4	16	no	—
84	C₂²×C₄×C₁₃₉	—	4	16	no	—
85	C₂²×C₄×C₁₃₉	C₂²⋊C₄	1	16	yes	complemented
86	C₂²×C₄×C₁₃₉	C₂²×C₄	1	4	yes	—
87	C₂²×C₄×C₁₃₉	C₂²×C₄	1	16	yes	—
88	C₂²×C₄×C₁₃₉	C₂²×C₄	1	4	yes	—
89	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
90	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
91	C₂²⋊C₄×C₁₃₉	—	2	32	no	—
92	C₂²⋊C₄×C₁₃₉	—	2	32	no	—
93	C₂²⋊C₄×C₁₃₉	—	4	32	no	—
94	C₄²×C₁₃₉	—	4	16	no	—
95	C₂³×C₁₃₉	—	2	4	no	—
96	C₂³×C₁₃₉	—	2	4	no	—
97	C₂³×C₁₃₉	—	2	16	no	—
98	C₂³×C₁₃₉	—	2	8	no	—
99	C₂³×C₁₃₉	—	2	8	no	—
100	C₂³×C₁₃₉	—	2	16	no	—
101	C₂³×C₁₃₉	—	2	4	no	—
102	C₂³×C₁₃₉	—	2	4	no	—
103	C₂³×C₁₃₉	—	2	16	no	—
104	C₂³×C₁₃₉	—	2	16	no	—
105	C₂³×C₁₃₉	—	2	8	no	—
106	C₂³×C₁₃₉	—	2	8	no	—
107	C₂³×C₁₃₉	—	2	16	no	—
108	C₂³×C₁₃₉	—	2	32	no	—
109	C₂³×C₁₃₉	—	4	32	no	—
110	C₂³×C₁₃₉	—	4	16	no	—
111	C₂³×C₁₃₉	—	4	16	no	—
112	C₂³×C₁₃₉	—	4	32	no	—
113	C₂³×C₁₃₉	—	4	128	no	—
114	C₂³×C₁₃₉	—	4	8	no	—
115	C₂³×C₁₃₉	—	4	8	no	—
116	C₂³×C₁₃₉	—	4	16	no	—
117	C₂³×C₁₃₉	C₂×C₄²	1	8	yes	—
118	C₂³×C₁₃₉	C₂×C₄²	1	4	yes	—
119	C₂³×C₁₃₉	C₂×C₂²⋊C₄	1	4	yes	—
120	C₂³×C₁₃₉	#117	1	4	yes	—
121	C₂³×C₁₃₉	C₄×D₄	1	16	yes	—
122	C₂³×C₁₃₉	C₂³×C₄	1	1	yes	characteristic
123	C₂³×C₁₃₉	C₂³×C₄	1	2	yes	—
124	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
125	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
126	C₂³×C₁₃₉	H(5,𝔽₂)	1	4	yes	—
127	C₂³×C₁₃₉	H(5,𝔽₂)	1	4	yes	—
128	C₂×C₄×C₁₃₉	—	2	8	no	—
129	C₂×C₄×C₁₃₉	—	2	8	no	—
130	C₂×C₄×C₁₃₉	—	2	8	no	—
131	C₂×C₄×C₁₃₉	—	2	4	no	—
132	C₂×C₄×C₁₃₉	—	2	16	no	—
133	C₂×C₄×C₁₃₉	—	2	32	no	—
134	C₂×C₄×C₁₃₉	—	2	8	no	—
135	C₂×C₄×C₁₃₉	—	4	16	no	—
136	C₂×C₄×C₁₃₉	—	4	16	no	—
137	C₂×C₄×C₁₃₉	—	4	8	no	—
138	C₂×C₄×C₁₃₉	—	4	8	no	—
139	C₂×C₄×C₁₃₉	—	4	8	no	—
140	C₂×C₄×C₁₃₉	—	4	16	no	—
141	C₂×C₄×C₁₃₉	C₂×C₂²⋊C₄	1	8	yes	—
142	C₂²×C₁₃₉	—	2	4	no	—
143	C₂²×C₁₃₉	—	2	4	no	—
144	C₂²×C₁₃₉	—	2	8	no	—
145	C₂²×C₁₃₉	—	2	32	no	—
146	C₂²×C₁₃₉	—	2	8	no	—
147	C₂²×C₁₃₉	—	2	8	no	—
148	C₂²×C₁₃₉	—	2	16	no	—
149	C₂²×C₁₃₉	—	4	64	no	—
150	C₂²×C₁₃₉	—	4	4	no	—
151	C₂²×C₁₃₉	—	4	4	no	—
152	C₂²×C₁₃₉	—	4	8	no	—
153	C₂²×C₁₃₉	—	4	32	no	—
154	C₂²×C₁₃₉	C₄×C₂²⋊C₄	1	8	yes	—
155	C₂²×C₁₃₉	C₂²×C₄²	1	1	yes	characteristic
156	C₂²×C₁₃₉	C₂²×C₂²⋊C₄	1	1	yes	characteristic
157	C₂²×C₁₃₉	C₂×#117	1	1	yes	characteristic
158	C₂²×C₁₃₉	C₂×C₄×D₄	1	4	yes	—
159	C₂²×C₁₃₉	#518	1	2	yes	—
160	C₂²×C₁₃₉	#518	1	2	yes	—
161	C₂²×C₁₃₉	#518	1	8	yes	—
162	C₂²×C₁₃₉	#534	1	4	yes	—
163	C₂²×C₁₃₉	#535	1	4	yes	—
164	C₂²×C₁₃₉	#538	1	8	yes	—
165	C₄×C₁₃₉	—	2	8	no	—
166	C₄×C₁₃₉	—	4	4	no	—
167	C₄×C₁₃₉	—	4	16	no	—
168	C₂×C₁₃₉	—	2	8	no	—
169	C₂×C₁₃₉	—	4	8	no	—
170	C₂×C₁₃₉	C₂×C₄×C₂²⋊C₄	1	1	yes	characteristic
171	C₂×C₁₃₉	#2273	1	2	yes	—
172	C₂×C₁₃₉	#2308	1	1	yes	characteristic
173	C₂×C₁₃₉	#2309	1	1	yes	characteristic
174	C₂×C₁₃₉	#2312	1	2	yes	—
175	C₂×C₁₃₉	#2321	1	8	yes	—
176	#13775	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
177	C₁₃₉	#13775	1	1	yes	characteristic, direct product factor, Sylow
178	C₂³×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic
179	C₂×#379	C₂×C₁₃₉	1	2	yes	—
180	C₂×C₄×C₂²⋊C₄	C₂×C₁₃₉	1	2	yes	complemented
181	#1437	C₂×C₁₃₉	1	8	yes	complemented
182	C₂²⋊#95	C₂×C₁₃₉	1	2	yes	complemented
183	C₂⁶	C₂²×C₁₃₉	1	1	yes	characteristic
184	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
185	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
186	C₂²×C₂²⋊C₄	—	2	8	no	—
187	C₂²×C₂²⋊C₄	C₄×C₁₃₉	1	8	yes	complemented
188	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	4	yes	—
189	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	4	yes	—
190	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	8	yes	—
191	C₂²×C₄²	C₂²×C₁₃₉	1	4	yes	complemented
192	#379	C₄×C₁₃₉	1	16	yes	complemented
193	C₄×C₂²⋊C₄	—	2	8	no	—
194	C₂×#95	C₂²×C₁₃₉	1	4	yes	complemented
195	C₂×#95	C₂²×C₁₃₉	1	8	yes	complemented
196	C₂⁵	—	2	4	no	—
197	C₂⁵	—	2	4	no	—
198	C₂⁵	—	4	4	no	—
199	C₂⁵	—	4	4	no	—
200	C₂⁵	C₂×C₄×C₁₃₉	1	4	yes	—
201	C₂⁵	C₂×C₄×C₁₃₉	1	8	yes	—
202	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
203	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
204	C₂³×C₄	—	2	4	no	—
205	C₂³×C₄	—	4	4	no	—
206	C₂³×C₄	—	4	4	no	—
207	C₂³×C₄	C₂×C₄×C₁₃₉	1	4	yes	—
208	C₂³×C₄	C₂×C₄×C₁₃₉	1	4	yes	—
209	C₂³×C₄	D₄×C₁₃₉	1	8	yes	—
210	C₂³×C₄	C₂³×C₁₃₉	1	8	yes	—
211	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
212	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
213	C₂×C₂²⋊C₄	—	2	8	no	—
214	C₂×C₂²⋊C₄	—	2	8	no	—
215	C₂×C₂²⋊C₄	—	2	32	no	—
216	C₂×C₂²⋊C₄	—	2	8	no	—
217	C₂×C₂²⋊C₄	—	2	8	no	—
218	C₂×C₂²⋊C₄	—	4	8	no	—
219	C₂×C₂²⋊C₄	—	4	8	no	—
220	C₂×C₂²⋊C₄	C₂×C₄×C₁₃₉	1	16	yes	—
221	C₂×C₂²⋊C₄	C₂×C₄×C₁₃₉	1	16	yes	—
222	C₂×C₂²⋊C₄	C₂×C₄×C₁₃₉	1	32	yes	complemented
223	C₂×C₄²	—	2	8	no	—
224	C₂×C₄²	—	4	8	no	—
225	#95	—	2	8	no	—
226	#95	—	4	8	no	—
227	C₂⁴	—	2	4	no	—
228	C₂⁴	—	2	4	no	—
229	C₂⁴	—	2	8	no	—
230	C₂⁴	—	2	8	no	—
231	C₂⁴	—	2	32	no	—
232	C₂⁴	—	2	4	no	—
233	C₂⁴	—	2	4	no	—
234	C₂⁴	—	2	8	no	—
235	C₂⁴	—	2	8	no	—
236	C₂⁴	—	4	8	no	—
237	C₂⁴	—	4	8	no	—
238	C₂⁴	—	4	32	no	—
239	C₂⁴	—	4	16	no	—
240	C₂⁴	—	4	16	no	—
241	C₂⁴	—	4	32	no	—
242	C₂⁴	C₄²×C₁₃₉	1	16	yes	complemented
243	C₂⁴	C₂²×C₄×C₁₃₉	1	4	yes	—
244	C₂⁴	C₂²×C₄×C₁₃₉	1	8	yes	—
245	C₂⁴	C₂²×C₄×C₁₃₉	1	2	yes	—
246	C₂⁴	C₂²×C₄×C₁₃₉	1	4	yes	—
247	C₂⁴	C₂×D₄×C₁₃₉	1	4	yes	—
248	C₂⁴	#41×C₁₃₉	1	4	yes	—
249	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
250	C₂²×C₄	—	2	8	no	—
251	C₂²×C₄	—	2	8	no	—
252	C₂²×C₄	—	2	8	no	—
253	C₂²×C₄	—	2	4	no	—
254	C₂²×C₄	—	2	8	no	—
255	C₂²×C₄	—	2	16	no	—
256	C₂²×C₄	—	2	8	no	—
257	C₂²×C₄	—	2	16	no	—
258	C₂²×C₄	—	4	8	no	—
259	C₂²×C₄	—	4	8	no	—
260	C₂²×C₄	—	4	16	no	—
261	C₂²×C₄	—	4	16	no	—
262	C₂²×C₄	C₂²⋊C₄×C₁₃₉	1	16	yes	complemented
263	C₂²×C₄	C₂²×C₄×C₁₃₉	1	4	yes	—
264	C₂²×C₄	C₂²×C₄×C₁₃₉	1	16	yes	—
265	C₂²×C₄	C₂²×C₄×C₁₃₉	1	4	yes	—
266	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
267	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
268	C₂²⋊C₄	—	2	32	no	—
269	C₂²⋊C₄	—	2	32	no	—
270	C₂²⋊C₄	—	4	32	no	—
271	C₄²	—	4	16	no	—
272	C₂³	—	2	4	no	—
273	C₂³	—	2	4	no	—
274	C₂³	—	2	16	no	—
275	C₂³	—	2	8	no	—
276	C₂³	—	2	8	no	—
277	C₂³	—	2	16	no	—
278	C₂³	—	2	4	no	—
279	C₂³	—	2	4	no	—
280	C₂³	—	2	16	no	—
281	C₂³	—	2	16	no	—
282	C₂³	—	2	8	no	—
283	C₂³	—	2	8	no	—
284	C₂³	—	2	16	no	—
285	C₂³	—	2	32	no	—
286	C₂³	—	4	32	no	—
287	C₂³	—	4	16	no	—
288	C₂³	—	4	16	no	—
289	C₂³	—	4	32	no	—
290	C₂³	—	4	128	no	—
291	C₂³	—	4	8	no	—
292	C₂³	—	4	8	no	—
293	C₂³	—	4	16	no	—
294	C₂³	C₂×C₄²×C₁₃₉	1	8	yes	—
295	C₂³	C₂×C₄²×C₁₃₉	1	4	yes	—
296	C₂³	C₂×C₂²⋊C₄×C₁₃₉	1	4	yes	—
297	C₂³	#117×C₁₃₉	1	4	yes	—
298	C₂³	C₄×D₄×C₁₃₉	1	16	yes	—
299	C₂³	C₂³×C₄×C₁₃₉	1	1	yes	characteristic
300	C₂³	C₂³×C₄×C₁₃₉	1	2	yes	—
301	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
302	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
303	C₂³	H(5,𝔽₂)×C₁₃₉	1	4	yes	—
304	C₂³	H(5,𝔽₂)×C₁₃₉	1	4	yes	—
305	C₂×C₄	—	2	8	no	—
306	C₂×C₄	—	2	8	no	—
307	C₂×C₄	—	2	8	no	—
308	C₂×C₄	—	2	4	no	—
309	C₂×C₄	—	2	16	no	—
310	C₂×C₄	—	2	32	no	—
311	C₂×C₄	—	2	8	no	—
312	C₂×C₄	—	4	16	no	—
313	C₂×C₄	—	4	16	no	—
314	C₂×C₄	—	4	8	no	—
315	C₂×C₄	—	4	8	no	—
316	C₂×C₄	—	4	8	no	—
317	C₂×C₄	—	4	16	no	—
318	C₂×C₄	C₂×C₂²⋊C₄×C₁₃₉	1	8	yes	—
319	C₂²	—	2	8	no	—
320	C₂²	—	2	4	no	—
321	C₂²	—	2	4	no	—
322	C₂²	—	2	8	no	—
323	C₂²	—	2	32	no	—
324	C₂²	—	2	8	no	—
325	C₂²	—	2	16	no	—
326	C₂²	—	4	64	no	—
327	C₂²	—	4	4	no	—
328	C₂²	—	4	4	no	—
329	C₂²	—	4	8	no	—
330	C₂²	—	4	32	no	—
331	C₂²	C₄×C₂²⋊C₄×C₁₃₉	1	8	yes	—
332	C₂²	C₂²×C₄²×C₁₃₉	1	1	yes	characteristic
333	C₂²	C₂²×C₂²⋊C₄×C₁₃₉	1	1	yes	characteristic
334	C₂²	C₂×#117×C₁₃₉	1	1	yes	characteristic
335	C₂²	C₂×C₄×D₄×C₁₃₉	1	4	yes	—
336	C₂²	#518×C₁₃₉	1	2	yes	—
337	C₂²	#518×C₁₃₉	1	2	yes	—
338	C₂²	#518×C₁₃₉	1	8	yes	—
339	C₂²	#534×C₁₃₉	1	4	yes	—
340	C₂²	#535×C₁₃₉	1	4	yes	—
341	C₂²	#538×C₁₃₉	1	8	yes	—
342	C₄	—	2	8	no	—
343	C₄	—	4	4	no	—
344	C₄	—	4	16	no	—
345	C₂	—	2	8	no	—
346	C₂	—	4	8	no	—
347	C₂	C₂×C₄×C₂²⋊C₄×C₁₃₉	1	1	yes	characteristic
348	C₂	#2273×C₁₃₉	1	2	yes	—
349	C₂	#2308×C₁₃₉	1	1	yes	characteristic
350	C₂	#2309×C₁₃₉	1	1	yes	characteristic
351	C₂	#2312×C₁₃₉	1	2	yes	—
352	C₂	#2321×C₁₃₉	1	8	yes	—

	subgroup	G/H
center, socle	C₂⁴×C₁₃₉	C₂⁴
commutator	C₂²	C₂²×C₄²×C₁₃₉
Frattini, cosocle	C₂⁴	C₂⁴×C₁₃₉
prime radical	C₂⁶×C₁₃₉	C₂²
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂⁴×C₁₃₉ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₂×C₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
4. #1437×C₁₃₉	C₂	semidirect
5. C₂²⋊#95×C₁₃₉	C₂	semidirect
10. C₂²×C₂²⋊C₄×C₁₃₉	C₄	semidirect
14. C₂²×C₄²×C₁₃₉	C₂²	semidirect
15. #379×C₁₃₉	C₄	semidirect
17. C₂×#95×C₁₃₉	C₂²	semidirect
18. C₂×#95×C₁₃₉	C₂²	semidirect
45. C₂×C₂²⋊C₄×C₁₃₉	C₂×C₄	semidirect
65. C₂⁴×C₁₃₉	C₄²	semidirect
85. C₂²×C₄×C₁₃₉	C₂²⋊C₄	semidirect
176. #13775	C₁₃₉	direct (N × H)
177. C₁₃₉	#13775	direct (N × H)
180. C₂×C₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
181. #1437	C₂×C₁₃₉	semidirect
182. C₂²⋊#95	C₂×C₁₃₉	semidirect
187. C₂²×C₂²⋊C₄	C₄×C₁₃₉	semidirect
191. C₂²×C₄²	C₂²×C₁₃₉	semidirect
192. #379	C₄×C₁₃₉	semidirect
194. C₂×#95	C₂²×C₁₃₉	semidirect
195. C₂×#95	C₂²×C₁₃₉	semidirect
222. C₂×C₂²⋊C₄	C₂×C₄×C₁₃₉	semidirect
242. C₂⁴	C₄²×C₁₃₉	semidirect
262. C₂²×C₄	C₂²⋊C₄×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂³×C₂²⋊C₄×C₁₃₉	2
C₂×#379×C₁₃₉	2
C₂×C₄×C₂²⋊C₄×C₁₃₉	2
#1437×C₁₃₉	2
C₂²⋊#95×C₁₃₉	2
#13775	139

Subgroups — C139×#13775 #48008371

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#13775 #48008371