Subgroups — C₁₃₉×#37129 #48031725

Order 35584.

2890 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#534×C₁₃₉	C₂	1	2	yes	maximal, complemented
2	#2854×C₁₃₉	C₂	1	2	yes	maximal, complemented
3	#2724×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2701×C₁₃₉	C₂	1	4	yes	maximal, complemented
5	#2699×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2697×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2682×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2679×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2678×C₁₃₉	C₂	1	4	yes	maximal, complemented
10	#2618×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2412×C₁₃₉	C₂	1	4	yes	maximal, complemented
12	#2410×C₁₃₉	C₂	1	4	yes	maximal, complemented
13	C₂×#390×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
15	C₂³×D₄×C₁₃₉	C₂²	1	2	yes	complemented
16	#534×C₁₃₉	—	2	16	no	—
17	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
18	C₂×#123×C₁₃₉	C₂²	1	4	yes	complemented
19	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
20	C₂×#123×C₁₃₉	C₂²	1	4	yes	complemented
21	C₂×#121×C₁₃₉	C₂²	1	4	yes	—
22	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
23	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
24	C₂×#121×C₁₃₉	C₂²	1	4	yes	complemented
25	C₂×#120×C₁₃₉	C₂²	1	4	yes	—
26	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
27	C₂×#120×C₁₃₉	C₂²	1	2	yes	complemented
28	C₂×#120×C₁₃₉	C₂²	1	4	yes	complemented
29	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
30	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
31	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	4	yes	complemented
32	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
33	#398×C₁₃₉	C₂²	1	2	yes	complemented
34	#398×C₁₃₉	C₂²	1	2	yes	complemented
35	#397×C₁₃₉	C₂²	1	4	yes	complemented
36	#397×C₁₃₉	C₂²	1	4	yes	complemented
37	#396×C₁₃₉	C₂²	1	4	yes	complemented
38	#396×C₁₃₉	C₂²	1	4	yes	complemented
39	#394×C₁₃₉	C₂²	1	2	yes	complemented
40	#394×C₁₃₉	C₂²	1	2	yes	complemented
41	#394×C₁₃₉	C₂²	1	4	yes	complemented
42	#394×C₁₃₉	C₂²	1	4	yes	complemented
43	#394×C₁₃₉	C₂²	1	4	yes	complemented
44	#394×C₁₃₉	C₂²	1	4	yes	complemented
45	#392×C₁₃₉	C₂²	1	4	yes	complemented
46	#392×C₁₃₉	C₂²	1	4	yes	complemented
47	#390×C₁₃₉	C₂²	1	1	yes	characteristic
48	#390×C₁₃₉	C₂²	1	1	yes	characteristic
49	#390×C₁₃₉	C₂²	1	4	yes	complemented
50	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
51	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
52	#390×C₁₃₉	C₂²	1	2	yes	complemented
53	#390×C₁₃₉	C₂²	1	2	yes	complemented
54	#389×C₁₃₉	C₂²	1	2	yes	complemented
55	#389×C₁₃₉	C₂²	1	2	yes	complemented
56	#388×C₁₃₉	C₂²	1	4	yes	complemented
57	#388×C₁₃₉	C₂²	1	4	yes	complemented
58	#386×C₁₃₉	C₂²	1	4	yes	complemented
59	#386×C₁₃₉	C₂²	1	4	yes	complemented
60	#386×C₁₃₉	C₂²	1	4	yes	complemented
61	#386×C₁₃₉	C₂²	1	4	yes	complemented
62	#385×C₁₃₉	C₂²	1	4	yes	complemented
63	#385×C₁₃₉	C₂²	1	4	yes	complemented
64	#381×C₁₃₉	C₂²	1	4	yes	complemented
65	#380×C₁₃₉	C₂²	1	2	yes	complemented
66	#380×C₁₃₉	C₂²	1	2	yes	complemented
67	#379×C₁₃₉	C₂²	1	4	yes	complemented
68	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
69	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
70	C₂²×D₄×C₁₃₉	—	2	8	no	—
71	C₂²×D₄×C₁₃₉	—	4	2	no	—
72	C₂²×D₄×C₁₃₉	—	4	2	no	—
73	C₂²×D₄×C₁₃₉	—	4	4	no	—
74	C₂²×D₄×C₁₃₉	—	4	4	no	—
75	C₂²×D₄×C₁₃₉	D₄	1	8	yes	complemented
76	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
77	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
78	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
79	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
80	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
81	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
82	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
83	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
84	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
85	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
86	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
87	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
88	C₂³×C₄×C₁₃₉	C₂³	1	4	yes	—
89	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
90	#123×C₁₃₉	—	2	8	no	—
91	#123×C₁₃₉	—	2	8	no	—
92	#123×C₁₃₉	—	2	16	no	—
93	#123×C₁₃₉	—	4	8	no	—
94	#121×C₁₃₉	—	2	16	no	—
95	#121×C₁₃₉	—	2	16	no	—
96	#121×C₁₃₉	—	4	4	no	—
97	#121×C₁₃₉	—	4	4	no	—
98	#120×C₁₃₉	—	2	16	no	—
99	#120×C₁₃₉	—	2	8	no	—
100	#120×C₁₃₉	—	2	8	no	—
101	#120×C₁₃₉	—	4	8	no	—
102	C₂×C₄⋊C₄×C₁₃₉	—	4	2	no	—
103	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	4	yes	—
104	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	4	yes	—
105	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
106	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
107	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	4	yes	—
108	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
109	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
110	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
111	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
112	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
113	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
114	C₂×C₂²⋊C₄×C₁₃₉	—	4	8	no	—
115	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
116	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
117	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
118	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
119	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
120	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
121	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
122	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
123	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
124	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
125	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
126	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
127	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
128	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
129	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
130	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
131	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
132	C₂×C₄²×C₁₃₉	—	4	2	no	—
133	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
134	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
135	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
136	#95×C₁₃₉	C₂³	1	4	yes	—
137	#95×C₁₃₉	C₂³	1	4	yes	—
138	#95×C₁₃₉	C₂³	1	2	yes	—
139	#95×C₁₃₉	C₂³	1	4	yes	—
140	#95×C₁₃₉	C₂³	1	4	yes	—
141	#95×C₁₃₉	C₂³	1	4	yes	—
142	#95×C₁₃₉	C₂³	1	2	yes	—
143	C₂⁴×C₁₃₉	—	2	4	no	—
144	C₂⁴×C₁₃₉	—	2	4	no	—
145	C₂⁴×C₁₃₉	—	2	4	no	—
146	C₂⁴×C₁₃₉	—	4	4	no	—
147	C₂⁴×C₁₃₉	—	4	2	no	—
148	C₂⁴×C₁₃₉	—	4	2	no	—
149	C₂⁴×C₁₃₉	—	4	4	no	—
150	C₂⁴×C₁₃₉	—	4	4	no	—
151	C₂⁴×C₁₃₉	—	4	4	no	—
152	C₂⁴×C₁₃₉	C₂×D₄	1	8	yes	—
153	C₂⁴×C₁₃₉	C₂⁴	1	4	yes	—
154	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
155	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
156	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
157	C₂×D₄×C₁₃₉	—	2	8	no	—
158	C₂×D₄×C₁₃₉	—	2	8	no	—
159	C₂×D₄×C₁₃₉	—	2	8	no	—
160	C₂×D₄×C₁₃₉	—	2	8	no	—
161	C₂×D₄×C₁₃₉	—	2	8	no	—
162	C₂×D₄×C₁₃₉	—	2	8	no	—
163	C₂×D₄×C₁₃₉	—	2	4	no	—
164	C₂×D₄×C₁₃₉	—	4	16	no	—
165	C₂×D₄×C₁₃₉	—	4	1	no	—
166	C₂×D₄×C₁₃₉	—	4	2	no	—
167	C₂×D₄×C₁₃₉	—	4	1	no	—
168	C₂×D₄×C₁₃₉	—	4	1	no	—
169	C₂×D₄×C₁₃₉	—	4	2	no	—
170	C₂×D₄×C₁₃₉	—	4	1	no	—
171	C₂×D₄×C₁₃₉	—	4	4	no	—
172	C₂×D₄×C₁₃₉	—	4	4	no	—
173	C₂×D₄×C₁₃₉	—	4	4	no	—
174	C₂×D₄×C₁₃₉	—	4	4	no	—
175	C₂×D₄×C₁₃₉	—	4	2	no	—
176	C₂×D₄×C₁₃₉	—	4	2	no	—
177	C₂×D₄×C₁₃₉	—	4	4	no	—
178	C₂×D₄×C₁₃₉	—	4	2	no	—
179	C₂×D₄×C₁₃₉	—	4	4	no	—
180	C₂×D₄×C₁₃₉	—	4	4	no	—
181	C₂×D₄×C₁₃₉	—	4	32	no	—
182	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
183	C₂×D₄×C₁₃₉	C₂×D₄	1	8	yes	—
184	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
185	C₂²×C₄×C₁₃₉	—	2	2	no	—
186	C₂²×C₄×C₁₃₉	—	2	2	no	—
187	C₂²×C₄×C₁₃₉	—	2	4	no	—
188	C₂²×C₄×C₁₃₉	—	2	4	no	—
189	C₂²×C₄×C₁₃₉	—	2	8	no	—
190	C₂²×C₄×C₁₃₉	—	2	4	no	—
191	C₂²×C₄×C₁₃₉	—	2	4	no	—
192	C₂²×C₄×C₁₃₉	—	4	2	no	—
193	C₂²×C₄×C₁₃₉	—	4	2	no	—
194	C₂²×C₄×C₁₃₉	—	4	2	no	—
195	C₂²×C₄×C₁₃₉	—	4	4	no	—
196	C₂²×C₄×C₁₃₉	—	4	4	no	—
197	C₂²×C₄×C₁₃₉	—	4	4	no	—
198	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
199	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
200	C₂²×C₄×C₁₃₉	C₂⁴	1	4	yes	—
201	C₂²×C₄×C₁₃₉	C₂⁴	1	4	yes	—
202	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
203	C₂²×C₄×C₁₃₉	C₂⁴	1	4	yes	—
204	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
205	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
206	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
207	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
208	C₄⋊C₄×C₁₃₉	—	2	8	no	—
209	C₄⋊C₄×C₁₃₉	—	2	8	no	—
210	C₄⋊C₄×C₁₃₉	—	2	4	no	—
211	C₄⋊C₄×C₁₃₉	—	4	1	no	—
212	C₄⋊C₄×C₁₃₉	—	4	2	no	—
213	C₄⋊C₄×C₁₃₉	—	4	1	no	—
214	C₄⋊C₄×C₁₃₉	—	4	2	no	—
215	C₄⋊C₄×C₁₃₉	—	4	2	no	—
216	C₄⋊C₄×C₁₃₉	—	4	2	no	—
217	C₄⋊C₄×C₁₃₉	—	4	4	no	—
218	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
219	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
220	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
221	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
222	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
223	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
224	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
225	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
226	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
227	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
228	C₂²⋊C₄×C₁₃₉	—	4	4	no	—
229	C₂²⋊C₄×C₁₃₉	—	4	4	no	—
230	C₂²⋊C₄×C₁₃₉	—	4	4	no	—
231	C₂²⋊C₄×C₁₃₉	—	4	4	no	—
232	C₂²⋊C₄×C₁₃₉	—	4	4	no	—
233	C₂²⋊C₄×C₁₃₉	—	4	4	no	—
234	C₂²⋊C₄×C₁₃₉	—	4	4	no	—
235	C₄²×C₁₃₉	—	4	1	no	—
236	C₄²×C₁₃₉	—	4	2	no	—
237	C₄²×C₁₃₉	—	4	1	no	—
238	C₂³×C₁₃₉	—	2	2	no	—
239	C₂³×C₁₃₉	—	2	2	no	—
240	C₂³×C₁₃₉	—	2	4	no	—
241	C₂³×C₁₃₉	—	2	4	no	—
242	C₂³×C₁₃₉	—	2	2	no	—
243	C₂³×C₁₃₉	—	2	2	no	—
244	C₂³×C₁₃₉	—	2	2	no	—
245	C₂³×C₁₃₉	—	2	2	no	—
246	C₂³×C₁₃₉	—	2	4	no	—
247	C₂³×C₁₃₉	—	2	4	no	—
248	C₂³×C₁₃₉	—	2	16	no	—
249	C₂³×C₁₃₉	—	2	4	no	—
250	C₂³×C₁₃₉	—	2	4	no	—
251	C₂³×C₁₃₉	—	2	4	no	—
252	C₂³×C₁₃₉	—	2	4	no	—
253	C₂³×C₁₃₉	—	2	4	no	—
254	C₂³×C₁₃₉	—	2	4	no	—
255	C₂³×C₁₃₉	—	2	4	no	—
256	C₂³×C₁₃₉	—	4	16	no	—
257	C₂³×C₁₃₉	—	4	8	no	—
258	C₂³×C₁₃₉	—	8	8	no	—
259	C₂³×C₁₃₉	—	8	4	no	—
260	C₂³×C₁₃₉	—	8	4	no	—
261	C₂³×C₁₃₉	—	8	8	no	—
262	C₂³×C₁₃₉	—	8	8	no	—
263	C₂³×C₁₃₉	—	8	4	no	—
264	C₂³×C₁₃₉	—	8	4	no	—
265	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
266	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
267	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
268	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
269	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
270	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
271	D₄×C₁₃₉	—	4	4	no	—
272	D₄×C₁₃₉	—	4	8	no	—
273	D₄×C₁₃₉	—	4	4	no	—
274	D₄×C₁₃₉	—	4	16	no	—
275	D₄×C₁₃₉	—	4	16	no	—
276	D₄×C₁₃₉	—	8	4	no	—
277	D₄×C₁₃₉	—	8	8	no	—
278	D₄×C₁₃₉	—	8	8	no	—
279	D₄×C₁₃₉	—	8	4	no	—
280	C₂×C₄×C₁₃₉	—	2	8	no	—
281	C₂×C₄×C₁₃₉	—	2	2	no	—
282	C₂×C₄×C₁₃₉	—	2	1	no	—
283	C₂×C₄×C₁₃₉	—	2	1	no	—
284	C₂×C₄×C₁₃₉	—	2	1	no	—
285	C₂×C₄×C₁₃₉	—	2	1	no	—
286	C₂×C₄×C₁₃₉	—	2	2	no	—
287	C₂×C₄×C₁₃₉	—	2	4	no	—
288	C₂×C₄×C₁₃₉	—	2	4	no	—
289	C₂×C₄×C₁₃₉	—	2	4	no	—
290	C₂×C₄×C₁₃₉	—	2	2	no	—
291	C₂×C₄×C₁₃₉	—	2	4	no	—
292	C₂×C₄×C₁₃₉	—	2	4	no	—
293	C₂×C₄×C₁₃₉	—	2	4	no	—
294	C₂×C₄×C₁₃₉	—	2	2	no	—
295	C₂×C₄×C₁₃₉	—	2	2	no	—
296	C₂×C₄×C₁₃₉	—	2	4	no	—
297	C₂×C₄×C₁₃₉	—	2	4	no	—
298	C₂×C₄×C₁₃₉	—	2	4	no	—
299	C₂×C₄×C₁₃₉	—	2	2	no	—
300	C₂×C₄×C₁₃₉	—	2	2	no	—
301	C₂×C₄×C₁₃₉	—	2	4	no	—
302	C₂×C₄×C₁₃₉	—	2	4	no	—
303	C₂×C₄×C₁₃₉	—	4	8	no	—
304	C₂×C₄×C₁₃₉	—	4	8	no	—
305	C₂×C₄×C₁₃₉	—	8	8	no	—
306	C₂×C₄×C₁₃₉	—	8	4	no	—
307	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
308	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
309	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	4	yes	—
310	C₂²×C₁₃₉	—	2	4	no	—
311	C₂²×C₁₃₉	—	2	4	no	—
312	C₂²×C₁₃₉	—	2	2	no	—
313	C₂²×C₁₃₉	—	2	2	no	—
314	C₂²×C₁₃₉	—	2	4	no	—
315	C₂²×C₁₃₉	—	2	4	no	—
316	C₂²×C₁₃₉	—	2	8	no	—
317	C₂²×C₁₃₉	—	2	8	no	—
318	C₂²×C₁₃₉	—	4	4	no	—
319	C₂²×C₁₃₉	—	4	4	no	—
320	C₂²×C₁₃₉	—	4	2	no	—
321	C₂²×C₁₃₉	—	4	2	no	—
322	C₂²×C₁₃₉	—	4	2	no	—
323	C₂²×C₁₃₉	—	4	2	no	—
324	C₂²×C₁₃₉	—	4	4	no	—
325	C₂²×C₁₃₉	—	4	4	no	—
326	C₂²×C₁₃₉	—	4	4	no	—
327	C₂²×C₁₃₉	—	4	4	no	—
328	C₂²×C₁₃₉	—	4	4	no	—
329	C₂²×C₁₃₉	—	4	4	no	—
330	C₂²×C₁₃₉	—	4	4	no	—
331	C₂²×C₁₃₉	—	8	16	no	—
332	C₂²×C₁₃₉	—	8	16	no	—
333	C₂²×C₁₃₉	#534	1	4	yes	—
334	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
335	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
336	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
337	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	2	yes	—
338	C₂²×C₁₃₉	#585	1	2	yes	—
339	C₄×C₁₃₉	—	2	2	no	—
340	C₄×C₁₃₉	—	2	2	no	—
341	C₄×C₁₃₉	—	2	4	no	—
342	C₄×C₁₃₉	—	4	4	no	—
343	C₄×C₁₃₉	—	4	4	no	—
344	C₄×C₁₃₉	—	4	4	no	—
345	C₄×C₁₃₉	—	4	2	no	—
346	C₄×C₁₃₉	—	4	2	no	—
347	C₄×C₁₃₉	—	4	2	no	—
348	C₂×C₁₃₉	—	2	4	no	—
349	C₂×C₁₃₉	—	4	4	no	—
350	C₂×C₁₃₉	—	4	4	no	—
351	C₂×C₁₃₉	—	8	4	no	—
352	C₂×C₁₃₉	C₂×#534	1	1	yes	characteristic
353	C₂×C₁₃₉	#3496	1	2	yes	—
354	C₂×C₁₃₉	#3534	1	2	yes	—
355	C₂×C₁₃₉	#3543	1	1	yes	characteristic
356	C₂×C₁₃₉	#3545	1	1	yes	characteristic
357	#37129	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
358	C₁₃₉	#37129	1	1	yes	characteristic, direct product factor, Sylow
359	C₂×#534	C₂×C₁₃₉	1	2	yes	complemented
360	#2854	C₂×C₁₃₉	1	2	yes	complemented
361	#2724	C₂×C₁₃₉	1	1	yes	characteristic, complemented
362	#2701	C₂×C₁₃₉	1	4	yes	complemented
363	#2699	C₂×C₁₃₉	1	2	yes	complemented
364	#2697	C₂×C₁₃₉	1	2	yes	complemented
365	#2682	C₂×C₁₃₉	1	2	yes	complemented
366	#2679	C₂×C₁₃₉	1	1	yes	characteristic, complemented
367	#2678	C₂×C₁₃₉	1	4	yes	complemented
368	#2618	C₂×C₁₃₉	1	2	yes	complemented
369	#2412	C₂×C₁₃₉	1	4	yes	complemented
370	#2410	C₂×C₁₃₉	1	4	yes	complemented
371	C₂×#390	C₂×C₁₃₉	1	1	yes	characteristic, complemented
372	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
373	C₂³×D₄	C₂²×C₁₃₉	1	2	yes	complemented
374	#534	—	2	16	no	—
375	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
376	C₂×#123	C₂²×C₁₃₉	1	4	yes	complemented
377	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
378	C₂×#123	C₂²×C₁₃₉	1	4	yes	complemented
379	C₂×#121	C₂²×C₁₃₉	1	4	yes	—
380	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
381	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
382	C₂×#121	C₂²×C₁₃₉	1	4	yes	complemented
383	C₂×#120	C₂²×C₁₃₉	1	4	yes	—
384	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
385	C₂×#120	C₂²×C₁₃₉	1	2	yes	complemented
386	C₂×#120	C₂²×C₁₃₉	1	4	yes	complemented
387	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
388	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
389	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	4	yes	complemented
390	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
391	#398	C₂²×C₁₃₉	1	2	yes	complemented
392	#398	C₂²×C₁₃₉	1	2	yes	complemented
393	#397	C₂²×C₁₃₉	1	4	yes	complemented
394	#397	C₂²×C₁₃₉	1	4	yes	complemented
395	#396	C₂²×C₁₃₉	1	4	yes	complemented
396	#396	C₂²×C₁₃₉	1	4	yes	complemented
397	#394	C₂²×C₁₃₉	1	2	yes	complemented
398	#394	C₂²×C₁₃₉	1	2	yes	complemented
399	#394	C₂²×C₁₃₉	1	4	yes	complemented
400	#394	C₂²×C₁₃₉	1	4	yes	complemented
401	#394	C₂²×C₁₃₉	1	4	yes	complemented
402	#394	C₂²×C₁₃₉	1	4	yes	complemented
403	#392	C₂²×C₁₃₉	1	4	yes	complemented
404	#392	C₂²×C₁₃₉	1	4	yes	complemented
405	#390	C₂²×C₁₃₉	1	1	yes	characteristic
406	#390	C₂²×C₁₃₉	1	1	yes	characteristic
407	#390	C₂²×C₁₃₉	1	2	yes	complemented
408	#390	C₂²×C₁₃₉	1	2	yes	complemented
409	#390	C₂²×C₁₃₉	1	4	yes	complemented
410	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
411	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
412	#389	C₂²×C₁₃₉	1	2	yes	complemented
413	#389	C₂²×C₁₃₉	1	2	yes	complemented
414	#388	C₂²×C₁₃₉	1	4	yes	complemented
415	#388	C₂²×C₁₃₉	1	4	yes	complemented
416	#386	C₂²×C₁₃₉	1	4	yes	complemented
417	#386	C₂²×C₁₃₉	1	4	yes	complemented
418	#386	C₂²×C₁₃₉	1	4	yes	complemented
419	#386	C₂²×C₁₃₉	1	4	yes	complemented
420	#385	C₂²×C₁₃₉	1	4	yes	complemented
421	#385	C₂²×C₁₃₉	1	4	yes	complemented
422	#381	C₂²×C₁₃₉	1	4	yes	complemented
423	#380	C₂²×C₁₃₉	1	2	yes	complemented
424	#380	C₂²×C₁₃₉	1	2	yes	complemented
425	#379	C₂²×C₁₃₉	1	4	yes	complemented
426	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
427	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
428	C₂²×D₄	—	2	8	no	—
429	C₂²×D₄	—	4	2	no	—
430	C₂²×D₄	—	4	2	no	—
431	C₂²×D₄	—	4	4	no	—
432	C₂²×D₄	—	4	4	no	—
433	C₂²×D₄	D₄×C₁₃₉	1	8	yes	complemented
434	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
435	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
436	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
437	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
438	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
439	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
440	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
441	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
442	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
443	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
444	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
445	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
446	C₂³×C₄	C₂³×C₁₃₉	1	4	yes	—
447	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
448	#123	—	2	8	no	—
449	#123	—	2	8	no	—
450	#123	—	2	16	no	—
451	#123	—	4	8	no	—
452	#121	—	2	16	no	—
453	#121	—	2	16	no	—
454	#121	—	4	4	no	—
455	#121	—	4	4	no	—
456	#120	—	2	16	no	—
457	#120	—	2	8	no	—
458	#120	—	2	8	no	—
459	#120	—	4	8	no	—
460	C₂×C₄⋊C₄	—	4	2	no	—
461	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	4	yes	—
462	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	4	yes	—
463	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
464	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
465	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
466	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
467	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
468	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
469	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	4	yes	—
470	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
471	C₂×C₂²⋊C₄	—	2	8	no	—
472	C₂×C₂²⋊C₄	—	4	8	no	—
473	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
474	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
475	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
476	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
477	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
478	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
479	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
480	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
481	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
482	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
483	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
484	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
485	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
486	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
487	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
488	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
489	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
490	C₂×C₄²	—	4	2	no	—
491	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
492	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
493	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
494	#95	C₂³×C₁₃₉	1	2	yes	—
495	#95	C₂³×C₁₃₉	1	4	yes	—
496	#95	C₂³×C₁₃₉	1	2	yes	—
497	#95	C₂³×C₁₃₉	1	4	yes	—
498	#95	C₂³×C₁₃₉	1	4	yes	—
499	#95	C₂³×C₁₃₉	1	4	yes	—
500	#95	C₂³×C₁₃₉	1	4	yes	—
501	C₂⁴	—	2	4	no	—
502	C₂⁴	—	2	4	no	—
503	C₂⁴	—	2	4	no	—
504	C₂⁴	—	4	4	no	—
505	C₂⁴	—	4	2	no	—
506	C₂⁴	—	4	2	no	—
507	C₂⁴	—	4	4	no	—
508	C₂⁴	—	4	4	no	—
509	C₂⁴	—	4	4	no	—
510	C₂⁴	C₂×D₄×C₁₃₉	1	8	yes	—
511	C₂⁴	C₂⁴×C₁₃₉	1	4	yes	—
512	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
513	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
514	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
515	C₂×D₄	—	2	8	no	—
516	C₂×D₄	—	2	8	no	—
517	C₂×D₄	—	2	8	no	—
518	C₂×D₄	—	2	8	no	—
519	C₂×D₄	—	2	8	no	—
520	C₂×D₄	—	2	8	no	—
521	C₂×D₄	—	2	4	no	—
522	C₂×D₄	—	4	16	no	—
523	C₂×D₄	—	4	1	no	—
524	C₂×D₄	—	4	2	no	—
525	C₂×D₄	—	4	1	no	—
526	C₂×D₄	—	4	1	no	—
527	C₂×D₄	—	4	2	no	—
528	C₂×D₄	—	4	1	no	—
529	C₂×D₄	—	4	4	no	—
530	C₂×D₄	—	4	4	no	—
531	C₂×D₄	—	4	4	no	—
532	C₂×D₄	—	4	4	no	—
533	C₂×D₄	—	4	2	no	—
534	C₂×D₄	—	4	2	no	—
535	C₂×D₄	—	4	4	no	—
536	C₂×D₄	—	4	2	no	—
537	C₂×D₄	—	4	4	no	—
538	C₂×D₄	—	4	4	no	—
539	C₂×D₄	—	4	32	no	—
540	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
541	C₂×D₄	C₂×D₄×C₁₃₉	1	8	yes	—
542	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
543	C₂²×C₄	—	2	2	no	—
544	C₂²×C₄	—	2	2	no	—
545	C₂²×C₄	—	2	4	no	—
546	C₂²×C₄	—	2	4	no	—
547	C₂²×C₄	—	2	8	no	—
548	C₂²×C₄	—	2	4	no	—
549	C₂²×C₄	—	2	4	no	—
550	C₂²×C₄	—	4	2	no	—
551	C₂²×C₄	—	4	2	no	—
552	C₂²×C₄	—	4	2	no	—
553	C₂²×C₄	—	4	4	no	—
554	C₂²×C₄	—	4	4	no	—
555	C₂²×C₄	—	4	4	no	—
556	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
557	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
558	C₂²×C₄	C₂⁴×C₁₃₉	1	4	yes	—
559	C₂²×C₄	C₂⁴×C₁₃₉	1	4	yes	—
560	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
561	C₂²×C₄	C₂⁴×C₁₃₉	1	4	yes	—
562	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
563	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
564	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
565	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
566	C₄⋊C₄	—	2	8	no	—
567	C₄⋊C₄	—	2	8	no	—
568	C₄⋊C₄	—	2	4	no	—
569	C₄⋊C₄	—	4	1	no	—
570	C₄⋊C₄	—	4	2	no	—
571	C₄⋊C₄	—	4	1	no	—
572	C₄⋊C₄	—	4	2	no	—
573	C₄⋊C₄	—	4	2	no	—
574	C₄⋊C₄	—	4	2	no	—
575	C₄⋊C₄	—	4	4	no	—
576	C₂²⋊C₄	—	2	4	no	—
577	C₂²⋊C₄	—	2	4	no	—
578	C₂²⋊C₄	—	2	8	no	—
579	C₂²⋊C₄	—	2	8	no	—
580	C₂²⋊C₄	—	2	8	no	—
581	C₂²⋊C₄	—	2	8	no	—
582	C₂²⋊C₄	—	2	8	no	—
583	C₂²⋊C₄	—	2	8	no	—
584	C₂²⋊C₄	—	2	8	no	—
585	C₂²⋊C₄	—	2	8	no	—
586	C₂²⋊C₄	—	4	4	no	—
587	C₂²⋊C₄	—	4	4	no	—
588	C₂²⋊C₄	—	4	4	no	—
589	C₂²⋊C₄	—	4	4	no	—
590	C₂²⋊C₄	—	4	4	no	—
591	C₂²⋊C₄	—	4	4	no	—
592	C₂²⋊C₄	—	4	4	no	—
593	C₄²	—	4	1	no	—
594	C₄²	—	4	2	no	—
595	C₄²	—	4	1	no	—
596	C₂³	—	2	2	no	—
597	C₂³	—	2	2	no	—
598	C₂³	—	2	4	no	—
599	C₂³	—	2	4	no	—
600	C₂³	—	2	2	no	—
601	C₂³	—	2	2	no	—
602	C₂³	—	2	2	no	—
603	C₂³	—	2	2	no	—
604	C₂³	—	2	4	no	—
605	C₂³	—	2	4	no	—
606	C₂³	—	2	16	no	—
607	C₂³	—	2	4	no	—
608	C₂³	—	2	4	no	—
609	C₂³	—	2	4	no	—
610	C₂³	—	2	4	no	—
611	C₂³	—	2	4	no	—
612	C₂³	—	2	4	no	—
613	C₂³	—	2	4	no	—
614	C₂³	—	4	16	no	—
615	C₂³	—	4	8	no	—
616	C₂³	—	8	8	no	—
617	C₂³	—	8	4	no	—
618	C₂³	—	8	4	no	—
619	C₂³	—	8	8	no	—
620	C₂³	—	8	8	no	—
621	C₂³	—	8	4	no	—
622	C₂³	—	8	4	no	—
623	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
624	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
625	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
626	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
627	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
628	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
629	D₄	—	4	4	no	—
630	D₄	—	4	8	no	—
631	D₄	—	4	4	no	—
632	D₄	—	4	16	no	—
633	D₄	—	4	16	no	—
634	D₄	—	8	4	no	—
635	D₄	—	8	8	no	—
636	D₄	—	8	8	no	—
637	D₄	—	8	4	no	—
638	C₂×C₄	—	2	8	no	—
639	C₂×C₄	—	2	2	no	—
640	C₂×C₄	—	2	1	no	—
641	C₂×C₄	—	2	1	no	—
642	C₂×C₄	—	2	1	no	—
643	C₂×C₄	—	2	1	no	—
644	C₂×C₄	—	2	2	no	—
645	C₂×C₄	—	2	4	no	—
646	C₂×C₄	—	2	4	no	—
647	C₂×C₄	—	2	4	no	—
648	C₂×C₄	—	2	2	no	—
649	C₂×C₄	—	2	4	no	—
650	C₂×C₄	—	2	4	no	—
651	C₂×C₄	—	2	4	no	—
652	C₂×C₄	—	2	2	no	—
653	C₂×C₄	—	2	2	no	—
654	C₂×C₄	—	2	4	no	—
655	C₂×C₄	—	2	4	no	—
656	C₂×C₄	—	2	4	no	—
657	C₂×C₄	—	2	2	no	—
658	C₂×C₄	—	2	2	no	—
659	C₂×C₄	—	2	4	no	—
660	C₂×C₄	—	2	4	no	—
661	C₂×C₄	—	4	8	no	—
662	C₂×C₄	—	4	8	no	—
663	C₂×C₄	—	8	4	no	—
664	C₂×C₄	—	8	8	no	—
665	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
666	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
667	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	4	yes	—
668	C₂²	—	2	4	no	—
669	C₂²	—	2	2	no	—
670	C₂²	—	2	2	no	—
671	C₂²	—	2	4	no	—
672	C₂²	—	2	4	no	—
673	C₂²	—	2	4	no	—
674	C₂²	—	2	8	no	—
675	C₂²	—	2	8	no	—
676	C₂²	—	4	4	no	—
677	C₂²	—	4	4	no	—
678	C₂²	—	4	2	no	—
679	C₂²	—	4	2	no	—
680	C₂²	—	4	2	no	—
681	C₂²	—	4	2	no	—
682	C₂²	—	4	4	no	—
683	C₂²	—	4	4	no	—
684	C₂²	—	4	4	no	—
685	C₂²	—	4	4	no	—
686	C₂²	—	4	4	no	—
687	C₂²	—	4	4	no	—
688	C₂²	—	4	4	no	—
689	C₂²	—	8	16	no	—
690	C₂²	—	8	16	no	—
691	C₂²	#534×C₁₃₉	1	4	yes	—
692	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
693	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
694	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	2	yes	—
695	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
696	C₂²	#585×C₁₃₉	1	2	yes	—
697	C₄	—	2	4	no	—
698	C₄	—	2	2	no	—
699	C₄	—	2	2	no	—
700	C₄	—	4	2	no	—
701	C₄	—	4	2	no	—
702	C₄	—	4	2	no	—
703	C₄	—	4	4	no	—
704	C₄	—	4	4	no	—
705	C₄	—	4	4	no	—
706	C₂	—	2	4	no	—
707	C₂	—	4	4	no	—
708	C₂	—	4	4	no	—
709	C₂	—	8	4	no	—
710	C₂	C₂×#534×C₁₃₉	1	1	yes	characteristic
711	C₂	#3496×C₁₃₉	1	2	yes	—
712	C₂	#3534×C₁₃₉	1	2	yes	—
713	C₂	#3543×C₁₃₉	1	1	yes	characteristic
714	C₂	#3545×C₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×#534×C₁₃₉	C₂	semidirect
2. #2854×C₁₃₉	C₂	semidirect
3. #2724×C₁₃₉	C₂	semidirect
4. #2701×C₁₃₉	C₂	semidirect
5. #2699×C₁₃₉	C₂	semidirect
6. #2697×C₁₃₉	C₂	semidirect
7. #2682×C₁₃₉	C₂	semidirect
8. #2679×C₁₃₉	C₂	semidirect
9. #2678×C₁₃₉	C₂	semidirect
10. #2618×C₁₃₉	C₂	semidirect
11. #2412×C₁₃₉	C₂	semidirect
12. #2410×C₁₃₉	C₂	semidirect
13. C₂×#390×C₁₃₉	C₂	semidirect
15. C₂³×D₄×C₁₃₉	C₂²	semidirect
18. C₂×#123×C₁₃₉	C₂²	semidirect
19. C₂×#123×C₁₃₉	C₂²	semidirect
20. C₂×#123×C₁₃₉	C₂²	semidirect
24. C₂×#121×C₁₃₉	C₂²	semidirect
27. C₂×#120×C₁₃₉	C₂²	semidirect
28. C₂×#120×C₁₃₉	C₂²	semidirect
29. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
30. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
31. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
32. C₂²×C₄²×C₁₃₉	C₂²	semidirect
33. #398×C₁₃₉	C₂²	semidirect
34. #398×C₁₃₉	C₂²	semidirect
35. #397×C₁₃₉	C₂²	semidirect
36. #397×C₁₃₉	C₂²	semidirect
37. #396×C₁₃₉	C₂²	semidirect
38. #396×C₁₃₉	C₂²	semidirect
39. #394×C₁₃₉	C₂²	semidirect
40. #394×C₁₃₉	C₂²	semidirect
41. #394×C₁₃₉	C₂²	semidirect
42. #394×C₁₃₉	C₂²	semidirect
43. #394×C₁₃₉	C₂²	semidirect
44. #394×C₁₃₉	C₂²	semidirect
45. #392×C₁₃₉	C₂²	semidirect
46. #392×C₁₃₉	C₂²	semidirect
49. #390×C₁₃₉	C₂²	semidirect
50. #390×C₁₃₉	C₂²	semidirect
51. #390×C₁₃₉	C₂²	semidirect
52. #390×C₁₃₉	C₂²	semidirect
53. #390×C₁₃₉	C₂²	semidirect
54. #389×C₁₃₉	C₂²	semidirect
55. #389×C₁₃₉	C₂²	semidirect
56. #388×C₁₃₉	C₂²	semidirect
57. #388×C₁₃₉	C₂²	semidirect
58. #386×C₁₃₉	C₂²	semidirect
59. #386×C₁₃₉	C₂²	semidirect
60. #386×C₁₃₉	C₂²	semidirect
61. #386×C₁₃₉	C₂²	semidirect
62. #385×C₁₃₉	C₂²	semidirect
63. #385×C₁₃₉	C₂²	semidirect
64. #381×C₁₃₉	C₂²	semidirect
65. #380×C₁₃₉	C₂²	semidirect
66. #380×C₁₃₉	C₂²	semidirect
67. #379×C₁₃₉	C₂²	semidirect
75. C₂²×D₄×C₁₃₉	D₄	semidirect
357. #37129	C₁₃₉	direct (N × H)
358. C₁₃₉	#37129	direct (N × H)
359. C₂×#534	C₂×C₁₃₉	semidirect
360. #2854	C₂×C₁₃₉	semidirect
361. #2724	C₂×C₁₃₉	semidirect
362. #2701	C₂×C₁₃₉	semidirect
363. #2699	C₂×C₁₃₉	semidirect
364. #2697	C₂×C₁₃₉	semidirect
365. #2682	C₂×C₁₃₉	semidirect
366. #2679	C₂×C₁₃₉	semidirect
367. #2678	C₂×C₁₃₉	semidirect
368. #2618	C₂×C₁₃₉	semidirect
369. #2412	C₂×C₁₃₉	semidirect
370. #2410	C₂×C₁₃₉	semidirect
371. C₂×#390	C₂×C₁₃₉	semidirect
373. C₂³×D₄	C₂²×C₁₃₉	semidirect
376. C₂×#123	C₂²×C₁₃₉	semidirect
377. C₂×#123	C₂²×C₁₃₉	semidirect
378. C₂×#123	C₂²×C₁₃₉	semidirect
382. C₂×#121	C₂²×C₁₃₉	semidirect
385. C₂×#120	C₂²×C₁₃₉	semidirect
386. C₂×#120	C₂²×C₁₃₉	semidirect
387. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
388. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
389. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
390. C₂²×C₄²	C₂²×C₁₃₉	semidirect
391. #398	C₂²×C₁₃₉	semidirect
392. #398	C₂²×C₁₃₉	semidirect
393. #397	C₂²×C₁₃₉	semidirect
394. #397	C₂²×C₁₃₉	semidirect
395. #396	C₂²×C₁₃₉	semidirect
396. #396	C₂²×C₁₃₉	semidirect
397. #394	C₂²×C₁₃₉	semidirect
398. #394	C₂²×C₁₃₉	semidirect
399. #394	C₂²×C₁₃₉	semidirect
400. #394	C₂²×C₁₃₉	semidirect
401. #394	C₂²×C₁₃₉	semidirect
402. #394	C₂²×C₁₃₉	semidirect
403. #392	C₂²×C₁₃₉	semidirect
404. #392	C₂²×C₁₃₉	semidirect
407. #390	C₂²×C₁₃₉	semidirect
408. #390	C₂²×C₁₃₉	semidirect
409. #390	C₂²×C₁₃₉	semidirect
410. #390	C₂²×C₁₃₉	semidirect
411. #390	C₂²×C₁₃₉	semidirect
412. #389	C₂²×C₁₃₉	semidirect
413. #389	C₂²×C₁₃₉	semidirect
414. #388	C₂²×C₁₃₉	semidirect
415. #388	C₂²×C₁₃₉	semidirect
416. #386	C₂²×C₁₃₉	semidirect
417. #386	C₂²×C₁₃₉	semidirect
418. #386	C₂²×C₁₃₉	semidirect
419. #386	C₂²×C₁₃₉	semidirect
420. #385	C₂²×C₁₃₉	semidirect
421. #385	C₂²×C₁₃₉	semidirect
422. #381	C₂²×C₁₃₉	semidirect
423. #380	C₂²×C₁₃₉	semidirect
424. #380	C₂²×C₁₃₉	semidirect
425. #379	C₂²×C₁₃₉	semidirect
433. C₂²×D₄	D₄×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#534×C₁₃₉	2
#2854×C₁₃₉	2
#2724×C₁₃₉	2
#2701×C₁₃₉	2
#2699×C₁₃₉	2
#2697×C₁₃₉	2
#2682×C₁₃₉	2
#2679×C₁₃₉	2
#2678×C₁₃₉	2
#2618×C₁₃₉	2
#2412×C₁₃₉	2
#2410×C₁₃₉	2
C₂×#390×C₁₃₉	2
#37129	139

Subgroups — C139×#37129 #48031725

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#37129 #48031725