Subgroups — C₁₃₉×#35633 #48030229

Order 35584.

3066 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#536×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#525×C₁₃₉	C₂	1	1	yes	maximal, characteristic
3	C₂²×C₂²⋊Q₈×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#520×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2534×C₁₃₉	C₂	1	4	yes	maximal, complemented
6	#2486×C₁₃₉	C₂	1	4	yes	maximal, complemented
7	#2429×C₁₃₉	C₂	1	4	yes	maximal, complemented
8	#2427×C₁₃₉	C₂	1	4	yes	maximal, complemented
9	#2417×C₁₃₉	C₂	1	4	yes	maximal, complemented
10	#2415×C₁₃₉	C₂	1	4	yes	maximal, complemented
11	#2316×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2310×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2280×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic
15	C₂³×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
16	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
17	#536×C₁₃₉	—	2	8	no	—
18	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	2	yes	complemented
19	C₂×#124×C₁₃₉	C₂²	1	2	yes	complemented
20	#525×C₁₃₉	—	2	8	no	—
21	C₂×#123×C₁₃₉	C₂²	1	4	yes	—
22	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
23	C₂×C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
24	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	4	yes	—
25	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	4	yes	—
26	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
27	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	4	yes	complemented
28	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
29	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
30	#520×C₁₃₉	—	2	8	no	—
31	C₂×C₄×Q₈×C₁₃₉	C₂²	1	2	yes	complemented
32	C₂×C₄×D₄×C₁₃₉	C₂²	1	4	yes	—
33	C₂×C₄×D₄×C₁₃₉	C₂²	1	4	yes	—
34	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
35	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂×#117×C₁₃₉	C₂²	1	2	yes	complemented
39	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
40	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
41	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
42	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
43	#398×C₁₃₉	C₂²	1	8	yes	complemented
44	#397×C₁₃₉	C₂²	1	8	yes	complemented
45	#396×C₁₃₉	C₂²	1	8	yes	—
46	#394×C₁₃₉	C₂²	1	8	yes	—
47	#391×C₁₃₉	C₂²	1	2	yes	complemented
48	#391×C₁₃₉	C₂²	1	2	yes	complemented
49	#391×C₁₃₉	C₂²	1	4	yes	complemented
50	#389×C₁₃₉	C₂²	1	4	yes	complemented
51	#389×C₁₃₉	C₂²	1	4	yes	complemented
52	#389×C₁₃₉	C₂²	1	8	yes	complemented
53	#388×C₁₃₉	C₂²	1	8	yes	—
54	#386×C₁₃₉	C₂²	1	8	yes	—
55	#381×C₁₃₉	C₂²	1	4	yes	—
56	#381×C₁₃₉	C₂²	1	2	yes	—
57	#380×C₁₃₉	C₂²	1	4	yes	—
58	#380×C₁₃₉	C₂²	1	2	yes	—
59	#380×C₁₃₉	C₂²	1	2	yes	—
60	#380×C₁₃₉	C₂²	1	8	yes	complemented
61	#379×C₁₃₉	C₂²	1	2	yes	—
62	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	4	yes	—
63	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
64	C₂×#41×C₁₃₉	—	2	4	no	—
65	C₂×#41×C₁₃₉	—	2	4	no	—
66	C₂×#41×C₁₃₉	D₄	1	8	yes	—
67	C₂²×Q₈×C₁₃₉	—	2	4	no	—
68	C₂²×Q₈×C₁₃₉	—	2	4	no	—
69	C₂²×Q₈×C₁₃₉	—	2	4	no	—
70	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
71	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
72	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
73	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
74	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
75	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
76	C₂³×C₄×C₁₃₉	—	2	4	no	—
77	C₂³×C₄×C₁₃₉	—	2	4	no	—
78	C₂³×C₄×C₁₃₉	—	2	4	no	—
79	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
80	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
81	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
82	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
83	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
84	C₂³×C₄×C₁₃₉	C₂³	1	4	yes	—
85	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
86	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
87	C₄⋊Q₈×C₁₃₉	—	2	8	no	—
88	#124×C₁₃₉	—	2	8	no	—
89	#123×C₁₃₉	—	2	8	no	—
90	#123×C₁₃₉	—	2	16	no	—
91	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
92	C₂²⋊Q₈×C₁₃₉	—	2	16	no	—
93	C₂²⋊Q₈×C₁₃₉	—	2	16	no	—
94	C₂²⋊Q₈×C₁₃₉	—	2	16	no	—
95	#121×C₁₃₉	—	2	8	no	—
96	#120×C₁₃₉	—	2	8	no	—
97	C₄×Q₈×C₁₃₉	—	2	8	no	—
98	C₄×D₄×C₁₃₉	—	2	16	no	—
99	C₄×D₄×C₁₃₉	—	2	16	no	—
100	C₄×D₄×C₁₃₉	—	2	8	no	—
101	#117×C₁₃₉	—	2	4	no	—
102	#117×C₁₃₉	—	2	4	no	—
103	#117×C₁₃₉	—	2	4	no	—
104	#117×C₁₃₉	—	2	8	no	—
105	C₂×C₄⋊C₄×C₁₃₉	—	2	8	no	—
106	C₂×C₄⋊C₄×C₁₃₉	—	2	8	no	—
107	C₂×C₄⋊C₄×C₁₃₉	D₄	1	8	yes	complemented
108	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	4	yes	—
109	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	8	yes	—
110	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	8	yes	—
111	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	4	yes	—
112	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
113	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
114	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
115	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
116	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	8	yes	—
117	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
118	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
119	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
120	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
121	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	8	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	8	yes	—
125	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
126	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
127	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
128	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
129	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
130	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
131	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
132	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
133	C₂×C₄²×C₁₃₉	C₂³	1	4	yes	—
134	#95×C₁₃₉	C₂³	1	8	yes	—
135	#95×C₁₃₉	C₂³	1	4	yes	—
136	#95×C₁₃₉	C₂³	1	8	yes	—
137	#95×C₁₃₉	C₂³	1	8	yes	—
138	#95×C₁₃₉	C₂³	1	4	yes	—
139	C₂⁴×C₁₃₉	—	2	2	no	—
140	C₂⁴×C₁₃₉	—	2	4	no	—
141	C₂⁴×C₁₃₉	—	2	2	no	—
142	C₂⁴×C₁₃₉	—	2	2	no	—
143	C₂⁴×C₁₃₉	—	4	2	no	—
144	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
145	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
146	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
147	#41×C₁₃₉	—	2	32	no	—
148	C₂×Q₈×C₁₃₉	—	2	2	no	—
149	C₂×Q₈×C₁₃₉	—	2	4	no	—
150	C₂×Q₈×C₁₃₉	—	2	4	no	—
151	C₂×Q₈×C₁₃₉	—	2	4	no	—
152	C₂×Q₈×C₁₃₉	—	2	4	no	—
153	C₂×Q₈×C₁₃₉	—	2	2	no	—
154	C₂×Q₈×C₁₃₉	—	2	4	no	—
155	C₂×Q₈×C₁₃₉	—	2	4	no	—
156	C₂×Q₈×C₁₃₉	—	4	16	no	—
157	C₂×Q₈×C₁₃₉	C₂×D₄	1	4	yes	—
158	C₂×D₄×C₁₃₉	—	2	4	no	—
159	C₂×D₄×C₁₃₉	—	2	4	no	—
160	C₂×D₄×C₁₃₉	—	2	8	no	—
161	C₂×D₄×C₁₃₉	—	2	8	no	—
162	C₂×D₄×C₁₃₉	—	2	2	no	—
163	C₂×D₄×C₁₃₉	—	2	2	no	—
164	C₂×D₄×C₁₃₉	—	4	4	no	—
165	C₂×D₄×C₁₃₉	C₂×D₄	1	8	yes	—
166	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
167	C₂²×C₄×C₁₃₉	—	2	4	no	—
168	C₂²×C₄×C₁₃₉	—	2	4	no	—
169	C₂²×C₄×C₁₃₉	—	2	4	no	—
170	C₂²×C₄×C₁₃₉	—	2	2	no	—
171	C₂²×C₄×C₁₃₉	—	2	2	no	—
172	C₂²×C₄×C₁₃₉	—	2	4	no	—
173	C₂²×C₄×C₁₃₉	—	2	2	no	—
174	C₂²×C₄×C₁₃₉	—	2	4	no	—
175	C₂²×C₄×C₁₃₉	—	2	4	no	—
176	C₂²×C₄×C₁₃₉	—	2	4	no	—
177	C₂²×C₄×C₁₃₉	—	2	4	no	—
178	C₂²×C₄×C₁₃₉	—	2	4	no	—
179	C₂²×C₄×C₁₃₉	—	2	4	no	—
180	C₂²×C₄×C₁₃₉	—	2	4	no	—
181	C₂²×C₄×C₁₃₉	—	2	8	no	—
182	C₂²×C₄×C₁₃₉	—	4	4	no	—
183	C₂²×C₄×C₁₃₉	—	4	8	no	—
184	C₂²×C₄×C₁₃₉	—	4	16	no	—
185	C₂²×C₄×C₁₃₉	C₂×D₄	1	8	yes	—
186	C₂²×C₄×C₁₃₉	C₂×D₄	1	8	yes	—
187	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
188	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
189	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
190	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
191	C₂²×C₄×C₁₃₉	C₂⁴	1	4	yes	—
192	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
193	C₂²×C₄×C₁₃₉	C₂⁴	1	4	yes	—
194	C₂²×C₄×C₁₃₉	C₂⁴	1	4	yes	—
195	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
196	C₂²×C₄×C₁₃₉	C₂⁴	1	4	yes	—
197	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
198	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
199	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
200	C₄⋊C₄×C₁₃₉	—	2	2	no	—
201	C₄⋊C₄×C₁₃₉	—	2	8	no	—
202	C₄⋊C₄×C₁₃₉	—	2	16	no	—
203	C₄⋊C₄×C₁₃₉	—	2	2	no	—
204	C₄⋊C₄×C₁₃₉	—	2	4	no	—
205	C₄⋊C₄×C₁₃₉	—	2	4	no	—
206	C₄⋊C₄×C₁₃₉	—	2	8	no	—
207	C₄⋊C₄×C₁₃₉	—	2	16	no	—
208	C₄⋊C₄×C₁₃₉	—	4	8	no	—
209	C₄⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	—
210	C₄⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	—
211	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
212	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
213	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
214	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
215	C₂²⋊C₄×C₁₃₉	—	2	16	no	—
216	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
217	C₂²⋊C₄×C₁₃₉	—	2	16	no	—
218	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
219	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
220	C₂²⋊C₄×C₁₃₉	—	4	4	no	—
221	C₄²×C₁₃₉	—	2	4	no	—
222	C₄²×C₁₃₉	—	2	8	no	—
223	C₄²×C₁₃₉	—	2	4	no	—
224	C₄²×C₁₃₉	—	2	4	no	—
225	C₂³×C₁₃₉	—	2	2	no	—
226	C₂³×C₁₃₉	—	2	2	no	—
227	C₂³×C₁₃₉	—	2	8	no	—
228	C₂³×C₁₃₉	—	2	2	no	—
229	C₂³×C₁₃₉	—	2	2	no	—
230	C₂³×C₁₃₉	—	2	2	no	—
231	C₂³×C₁₃₉	—	2	2	no	—
232	C₂³×C₁₃₉	—	2	2	no	—
233	C₂³×C₁₃₉	—	2	4	no	—
234	C₂³×C₁₃₉	—	2	2	no	—
235	C₂³×C₁₃₉	—	2	2	no	—
236	C₂³×C₁₃₉	—	2	4	no	—
237	C₂³×C₁₃₉	—	2	2	no	—
238	C₂³×C₁₃₉	—	4	8	no	—
239	C₂³×C₁₃₉	—	4	8	no	—
240	C₂³×C₁₃₉	—	4	4	no	—
241	C₂³×C₁₃₉	—	4	4	no	—
242	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
243	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
244	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
245	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
246	C₂³×C₁₃₉	2₋¹⁺⁴	1	4	yes	—
247	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
248	Q₈×C₁₃₉	—	2	8	no	—
249	Q₈×C₁₃₉	—	4	8	no	—
250	Q₈×C₁₃₉	—	4	8	no	—
251	D₄×C₁₃₉	—	2	16	no	—
252	D₄×C₁₃₉	—	2	8	no	—
253	D₄×C₁₃₉	—	4	16	no	—
254	C₂×C₄×C₁₃₉	—	2	2	no	—
255	C₂×C₄×C₁₃₉	—	2	2	no	—
256	C₂×C₄×C₁₃₉	—	2	8	no	—
257	C₂×C₄×C₁₃₉	—	2	16	no	—
258	C₂×C₄×C₁₃₉	—	2	2	no	—
259	C₂×C₄×C₁₃₉	—	2	4	no	—
260	C₂×C₄×C₁₃₉	—	2	4	no	—
261	C₂×C₄×C₁₃₉	—	2	2	no	—
262	C₂×C₄×C₁₃₉	—	2	2	no	—
263	C₂×C₄×C₁₃₉	—	2	4	no	—
264	C₂×C₄×C₁₃₉	—	2	4	no	—
265	C₂×C₄×C₁₃₉	—	2	2	no	—
266	C₂×C₄×C₁₃₉	—	2	2	no	—
267	C₂×C₄×C₁₃₉	—	2	4	no	—
268	C₂×C₄×C₁₃₉	—	2	4	no	—
269	C₂×C₄×C₁₃₉	—	2	4	no	—
270	C₂×C₄×C₁₃₉	—	2	4	no	—
271	C₂×C₄×C₁₃₉	—	2	4	no	—
272	C₂×C₄×C₁₃₉	—	2	4	no	—
273	C₂×C₄×C₁₃₉	—	2	4	no	—
274	C₂×C₄×C₁₃₉	—	4	8	no	—
275	C₂×C₄×C₁₃₉	—	4	4	no	—
276	C₂×C₄×C₁₃₉	—	4	8	no	—
277	C₂×C₄×C₁₃₉	—	4	8	no	—
278	C₂×C₄×C₁₃₉	—	4	8	no	—
279	C₂×C₄×C₁₃₉	—	8	8	no	—
280	C₂×C₄×C₁₃₉	#121	1	16	yes	—
281	C₂×C₄×C₁₃₉	C₂²×D₄	1	8	yes	—
282	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
283	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
284	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
285	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
286	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
287	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
288	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
289	C₂²×C₁₃₉	—	2	2	no	—
290	C₂²×C₁₃₉	—	2	2	no	—
291	C₂²×C₁₃₉	—	2	4	no	—
292	C₂²×C₁₃₉	—	2	4	no	—
293	C₂²×C₁₃₉	—	2	4	no	—
294	C₂²×C₁₃₉	—	2	4	no	—
295	C₂²×C₁₃₉	—	2	4	no	—
296	C₂²×C₁₃₉	—	2	8	no	—
297	C₂²×C₁₃₉	—	2	4	no	—
298	C₂²×C₁₃₉	—	4	16	no	—
299	C₂²×C₁₃₉	—	4	2	no	—
300	C₂²×C₁₃₉	—	4	2	no	—
301	C₂²×C₁₃₉	—	4	2	no	—
302	C₂²×C₁₃₉	—	4	2	no	—
303	C₂²×C₁₃₉	—	4	2	no	—
304	C₂²×C₁₃₉	—	4	4	no	—
305	C₂²×C₁₃₉	—	4	2	no	—
306	C₂²×C₁₃₉	C₂×#121	1	4	yes	—
307	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
308	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
309	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
310	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	2	yes	—
311	C₂²×C₁₃₉	#585	1	2	yes	—
312	C₄×C₁₃₉	—	2	4	no	—
313	C₄×C₁₃₉	—	2	8	no	—
314	C₄×C₁₃₉	—	4	2	no	—
315	C₄×C₁₃₉	—	4	4	no	—
316	C₄×C₁₃₉	—	4	2	no	—
317	C₄×C₁₃₉	—	4	2	no	—
318	C₄×C₁₃₉	—	4	4	no	—
319	C₄×C₁₃₉	—	4	4	no	—
320	C₄×C₁₃₉	C₂×#121	1	4	yes	—
321	C₄×C₁₃₉	C₂×#121	1	4	yes	—
322	C₂×C₁₃₉	—	2	4	no	—
323	C₂×C₁₃₉	—	4	4	no	—
324	C₂×C₁₃₉	—	4	4	no	—
325	C₂×C₁₃₉	C₂²×#121	1	1	yes	characteristic
326	C₂×C₁₃₉	#3485	1	1	yes	characteristic
327	C₂×C₁₃₉	#3486	1	1	yes	characteristic
328	C₂×C₁₃₉	#3489	1	2	yes	—
329	C₂×C₁₃₉	#3495	1	2	yes	—
330	#35633	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
331	C₁₃₉	#35633	1	1	yes	characteristic, direct product factor, Sylow
332	C₂×#536	C₂×C₁₃₉	1	1	yes	characteristic, complemented
333	C₂×#525	C₂×C₁₃₉	1	1	yes	characteristic
334	C₂²×C₂²⋊Q₈	C₂×C₁₃₉	1	1	yes	characteristic, complemented
335	C₂×#520	C₂×C₁₃₉	1	1	yes	characteristic, complemented
336	#2534	C₂×C₁₃₉	1	4	yes	complemented
337	#2486	C₂×C₁₃₉	1	4	yes	complemented
338	#2429	C₂×C₁₃₉	1	4	yes	complemented
339	#2427	C₂×C₁₃₉	1	4	yes	complemented
340	#2417	C₂×C₁₃₉	1	4	yes	complemented
341	#2415	C₂×C₁₃₉	1	4	yes	complemented
342	#2316	C₂×C₁₃₉	1	1	yes	characteristic, complemented
343	#2310	C₂×C₁₃₉	1	1	yes	characteristic, complemented
344	#2280	C₂×C₁₃₉	1	1	yes	characteristic, complemented
345	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic
346	C₂³×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
347	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
348	#536	—	2	8	no	—
349	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	2	yes	complemented
350	C₂×#124	C₂²×C₁₃₉	1	2	yes	complemented
351	#525	—	2	8	no	—
352	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
353	C₂×#123	C₂²×C₁₃₉	1	4	yes	—
354	C₂×C₂²⋊Q₈	—	2	8	no	—
355	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	4	yes	—
356	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	4	yes	—
357	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
358	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	4	yes	complemented
359	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
360	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
361	#520	—	2	8	no	—
362	C₂×C₄×Q₈	C₂²×C₁₃₉	1	2	yes	complemented
363	C₂×C₄×D₄	C₂²×C₁₃₉	1	4	yes	—
364	C₂×C₄×D₄	C₂²×C₁₃₉	1	4	yes	—
365	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
366	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
367	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
368	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
369	C₂×#117	C₂²×C₁₃₉	1	2	yes	complemented
370	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
371	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
372	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
373	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
374	#398	C₂²×C₁₃₉	1	8	yes	complemented
375	#397	C₂²×C₁₃₉	1	8	yes	complemented
376	#396	C₂²×C₁₃₉	1	8	yes	—
377	#394	C₂²×C₁₃₉	1	8	yes	—
378	#391	C₂²×C₁₃₉	1	2	yes	complemented
379	#391	C₂²×C₁₃₉	1	2	yes	complemented
380	#391	C₂²×C₁₃₉	1	4	yes	complemented
381	#389	C₂²×C₁₃₉	1	4	yes	complemented
382	#389	C₂²×C₁₃₉	1	4	yes	complemented
383	#389	C₂²×C₁₃₉	1	8	yes	complemented
384	#388	C₂²×C₁₃₉	1	8	yes	—
385	#386	C₂²×C₁₃₉	1	8	yes	—
386	#381	C₂²×C₁₃₉	1	4	yes	—
387	#381	C₂²×C₁₃₉	1	2	yes	—
388	#380	C₂²×C₁₃₉	1	4	yes	—
389	#380	C₂²×C₁₃₉	1	2	yes	—
390	#380	C₂²×C₁₃₉	1	2	yes	—
391	#380	C₂²×C₁₃₉	1	8	yes	complemented
392	#379	C₂²×C₁₃₉	1	2	yes	—
393	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	4	yes	—
394	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
395	C₂×#41	—	2	4	no	—
396	C₂×#41	—	2	4	no	—
397	C₂×#41	D₄×C₁₃₉	1	8	yes	—
398	C₂²×Q₈	—	2	4	no	—
399	C₂²×Q₈	—	2	4	no	—
400	C₂²×Q₈	—	2	4	no	—
401	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
402	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
403	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
404	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
405	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
406	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
407	C₂³×C₄	—	2	4	no	—
408	C₂³×C₄	—	2	4	no	—
409	C₂³×C₄	—	2	4	no	—
410	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
411	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
412	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
413	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
414	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
415	C₂³×C₄	C₂³×C₁₃₉	1	4	yes	—
416	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
417	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
418	C₄⋊Q₈	—	2	8	no	—
419	#124	—	2	8	no	—
420	#123	—	2	8	no	—
421	#123	—	2	16	no	—
422	C₂²⋊Q₈	—	2	8	no	—
423	C₂²⋊Q₈	—	2	16	no	—
424	C₂²⋊Q₈	—	2	16	no	—
425	C₂²⋊Q₈	—	2	16	no	—
426	#121	—	2	8	no	—
427	#120	—	2	8	no	—
428	C₄×Q₈	—	2	8	no	—
429	C₄×D₄	—	2	16	no	—
430	C₄×D₄	—	2	16	no	—
431	C₄×D₄	—	2	8	no	—
432	#117	—	2	4	no	—
433	#117	—	2	4	no	—
434	#117	—	2	4	no	—
435	#117	—	2	8	no	—
436	C₂×C₄⋊C₄	—	2	8	no	—
437	C₂×C₄⋊C₄	—	2	8	no	—
438	C₂×C₄⋊C₄	D₄×C₁₃₉	1	8	yes	complemented
439	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	8	yes	—
440	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
441	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	4	yes	—
442	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
443	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
444	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
445	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	4	yes	—
446	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	8	yes	—
447	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	8	yes	—
448	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
449	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
450	C₂×C₂²⋊C₄	—	2	8	no	—
451	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	8	yes	—
452	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
453	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
454	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
455	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
456	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
457	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
458	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	8	yes	—
459	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
460	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
461	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
462	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
463	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
464	C₂×C₄²	C₂³×C₁₃₉	1	4	yes	—
465	#95	C₂³×C₁₃₉	1	4	yes	—
466	#95	C₂³×C₁₃₉	1	4	yes	—
467	#95	C₂³×C₁₃₉	1	8	yes	—
468	#95	C₂³×C₁₃₉	1	8	yes	—
469	#95	C₂³×C₁₃₉	1	8	yes	—
470	C₂⁴	—	2	2	no	—
471	C₂⁴	—	2	4	no	—
472	C₂⁴	—	2	2	no	—
473	C₂⁴	—	2	2	no	—
474	C₂⁴	—	4	2	no	—
475	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
476	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
477	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
478	#41	—	2	32	no	—
479	C₂×Q₈	—	2	2	no	—
480	C₂×Q₈	—	2	4	no	—
481	C₂×Q₈	—	2	4	no	—
482	C₂×Q₈	—	2	4	no	—
483	C₂×Q₈	—	2	4	no	—
484	C₂×Q₈	—	2	2	no	—
485	C₂×Q₈	—	2	4	no	—
486	C₂×Q₈	—	2	4	no	—
487	C₂×Q₈	—	4	16	no	—
488	C₂×Q₈	C₂×D₄×C₁₃₉	1	4	yes	—
489	C₂×D₄	—	2	4	no	—
490	C₂×D₄	—	2	4	no	—
491	C₂×D₄	—	2	8	no	—
492	C₂×D₄	—	2	8	no	—
493	C₂×D₄	—	2	2	no	—
494	C₂×D₄	—	2	2	no	—
495	C₂×D₄	—	4	4	no	—
496	C₂×D₄	C₂×D₄×C₁₃₉	1	8	yes	—
497	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
498	C₂²×C₄	—	2	4	no	—
499	C₂²×C₄	—	2	4	no	—
500	C₂²×C₄	—	2	4	no	—
501	C₂²×C₄	—	2	2	no	—
502	C₂²×C₄	—	2	2	no	—
503	C₂²×C₄	—	2	4	no	—
504	C₂²×C₄	—	2	2	no	—
505	C₂²×C₄	—	2	4	no	—
506	C₂²×C₄	—	2	4	no	—
507	C₂²×C₄	—	2	4	no	—
508	C₂²×C₄	—	2	4	no	—
509	C₂²×C₄	—	2	4	no	—
510	C₂²×C₄	—	2	4	no	—
511	C₂²×C₄	—	2	4	no	—
512	C₂²×C₄	—	2	8	no	—
513	C₂²×C₄	—	4	4	no	—
514	C₂²×C₄	—	4	8	no	—
515	C₂²×C₄	—	4	16	no	—
516	C₂²×C₄	C₂×D₄×C₁₃₉	1	8	yes	—
517	C₂²×C₄	C₂×D₄×C₁₃₉	1	8	yes	—
518	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
519	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
520	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
521	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
522	C₂²×C₄	C₂⁴×C₁₃₉	1	4	yes	—
523	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
524	C₂²×C₄	C₂⁴×C₁₃₉	1	4	yes	—
525	C₂²×C₄	C₂⁴×C₁₃₉	1	4	yes	—
526	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
527	C₂²×C₄	C₂⁴×C₁₃₉	1	4	yes	—
528	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
529	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
530	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
531	C₄⋊C₄	—	2	2	no	—
532	C₄⋊C₄	—	2	8	no	—
533	C₄⋊C₄	—	2	16	no	—
534	C₄⋊C₄	—	2	2	no	—
535	C₄⋊C₄	—	2	4	no	—
536	C₄⋊C₄	—	2	4	no	—
537	C₄⋊C₄	—	2	8	no	—
538	C₄⋊C₄	—	2	16	no	—
539	C₄⋊C₄	—	4	8	no	—
540	C₄⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	—
541	C₄⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	—
542	C₂²⋊C₄	—	2	4	no	—
543	C₂²⋊C₄	—	2	4	no	—
544	C₂²⋊C₄	—	2	4	no	—
545	C₂²⋊C₄	—	2	8	no	—
546	C₂²⋊C₄	—	2	16	no	—
547	C₂²⋊C₄	—	2	8	no	—
548	C₂²⋊C₄	—	2	16	no	—
549	C₂²⋊C₄	—	2	8	no	—
550	C₂²⋊C₄	—	2	8	no	—
551	C₂²⋊C₄	—	4	4	no	—
552	C₄²	—	2	4	no	—
553	C₄²	—	2	8	no	—
554	C₄²	—	2	4	no	—
555	C₄²	—	2	4	no	—
556	C₂³	—	2	2	no	—
557	C₂³	—	2	2	no	—
558	C₂³	—	2	8	no	—
559	C₂³	—	2	2	no	—
560	C₂³	—	2	2	no	—
561	C₂³	—	2	2	no	—
562	C₂³	—	2	2	no	—
563	C₂³	—	2	2	no	—
564	C₂³	—	2	4	no	—
565	C₂³	—	2	2	no	—
566	C₂³	—	2	2	no	—
567	C₂³	—	2	4	no	—
568	C₂³	—	2	2	no	—
569	C₂³	—	4	8	no	—
570	C₂³	—	4	8	no	—
571	C₂³	—	4	4	no	—
572	C₂³	—	4	4	no	—
573	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
574	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
575	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
576	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
577	C₂³	2₋¹⁺⁴×C₁₃₉	1	4	yes	—
578	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
579	Q₈	—	2	8	no	—
580	Q₈	—	4	8	no	—
581	Q₈	—	4	8	no	—
582	D₄	—	2	16	no	—
583	D₄	—	2	8	no	—
584	D₄	—	4	16	no	—
585	C₂×C₄	—	2	2	no	—
586	C₂×C₄	—	2	2	no	—
587	C₂×C₄	—	2	8	no	—
588	C₂×C₄	—	2	16	no	—
589	C₂×C₄	—	2	2	no	—
590	C₂×C₄	—	2	4	no	—
591	C₂×C₄	—	2	4	no	—
592	C₂×C₄	—	2	2	no	—
593	C₂×C₄	—	2	2	no	—
594	C₂×C₄	—	2	4	no	—
595	C₂×C₄	—	2	4	no	—
596	C₂×C₄	—	2	2	no	—
597	C₂×C₄	—	2	2	no	—
598	C₂×C₄	—	2	4	no	—
599	C₂×C₄	—	2	4	no	—
600	C₂×C₄	—	2	4	no	—
601	C₂×C₄	—	2	4	no	—
602	C₂×C₄	—	2	4	no	—
603	C₂×C₄	—	2	4	no	—
604	C₂×C₄	—	2	4	no	—
605	C₂×C₄	—	4	8	no	—
606	C₂×C₄	—	4	4	no	—
607	C₂×C₄	—	4	8	no	—
608	C₂×C₄	—	4	8	no	—
609	C₂×C₄	—	4	8	no	—
610	C₂×C₄	—	8	8	no	—
611	C₂×C₄	#121×C₁₃₉	1	16	yes	—
612	C₂×C₄	C₂²×D₄×C₁₃₉	1	8	yes	—
613	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
614	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
615	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
616	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
617	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
618	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
619	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
620	C₂²	—	2	2	no	—
621	C₂²	—	2	2	no	—
622	C₂²	—	2	4	no	—
623	C₂²	—	2	4	no	—
624	C₂²	—	2	4	no	—
625	C₂²	—	2	4	no	—
626	C₂²	—	2	4	no	—
627	C₂²	—	2	8	no	—
628	C₂²	—	2	4	no	—
629	C₂²	—	4	16	no	—
630	C₂²	—	4	2	no	—
631	C₂²	—	4	2	no	—
632	C₂²	—	4	2	no	—
633	C₂²	—	4	2	no	—
634	C₂²	—	4	2	no	—
635	C₂²	—	4	2	no	—
636	C₂²	—	4	4	no	—
637	C₂²	C₂×#121×C₁₃₉	1	4	yes	—
638	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
639	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
640	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
641	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	2	yes	—
642	C₂²	#585×C₁₃₉	1	2	yes	—
643	C₄	—	2	4	no	—
644	C₄	—	2	8	no	—
645	C₄	—	4	2	no	—
646	C₄	—	4	4	no	—
647	C₄	—	4	2	no	—
648	C₄	—	4	2	no	—
649	C₄	—	4	4	no	—
650	C₄	—	4	4	no	—
651	C₄	C₂×#121×C₁₃₉	1	4	yes	—
652	C₄	C₂×#121×C₁₃₉	1	4	yes	—
653	C₂	—	2	4	no	—
654	C₂	—	4	4	no	—
655	C₂	—	4	4	no	—
656	C₂	C₂²×#121×C₁₃₉	1	1	yes	characteristic
657	C₂	#3485×C₁₃₉	1	1	yes	characteristic
658	C₂	#3486×C₁₃₉	1	1	yes	characteristic
659	C₂	#3489×C₁₃₉	1	2	yes	—
660	C₂	#3495×C₁₃₉	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	C₂×#525×C₁₃₉	C₂
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×#536×C₁₃₉	C₂	semidirect
3. C₂²×C₂²⋊Q₈×C₁₃₉	C₂	semidirect
4. C₂×#520×C₁₃₉	C₂	semidirect
5. #2534×C₁₃₉	C₂	semidirect
6. #2486×C₁₃₉	C₂	semidirect
7. #2429×C₁₃₉	C₂	semidirect
8. #2427×C₁₃₉	C₂	semidirect
9. #2417×C₁₃₉	C₂	semidirect
10. #2415×C₁₃₉	C₂	semidirect
11. #2316×C₁₃₉	C₂	semidirect
12. #2310×C₁₃₉	C₂	semidirect
13. #2280×C₁₃₉	C₂	semidirect
18. C₂×C₄⋊Q₈×C₁₃₉	C₂²	semidirect
19. C₂×#124×C₁₃₉	C₂²	semidirect
27. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
31. C₂×C₄×Q₈×C₁₃₉	C₂²	semidirect
34. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
38. C₂×#117×C₁₃₉	C₂²	semidirect
41. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
43. #398×C₁₃₉	C₂²	semidirect
44. #397×C₁₃₉	C₂²	semidirect
47. #391×C₁₃₉	C₂²	semidirect
48. #391×C₁₃₉	C₂²	semidirect
49. #391×C₁₃₉	C₂²	semidirect
50. #389×C₁₃₉	C₂²	semidirect
51. #389×C₁₃₉	C₂²	semidirect
52. #389×C₁₃₉	C₂²	semidirect
60. #380×C₁₃₉	C₂²	semidirect
107. C₂×C₄⋊C₄×C₁₃₉	D₄	semidirect
330. #35633	C₁₃₉	direct (N × H)
331. C₁₃₉	#35633	direct (N × H)
332. C₂×#536	C₂×C₁₃₉	semidirect
334. C₂²×C₂²⋊Q₈	C₂×C₁₃₉	semidirect
335. C₂×#520	C₂×C₁₃₉	semidirect
336. #2534	C₂×C₁₃₉	semidirect
337. #2486	C₂×C₁₃₉	semidirect
338. #2429	C₂×C₁₃₉	semidirect
339. #2427	C₂×C₁₃₉	semidirect
340. #2417	C₂×C₁₃₉	semidirect
341. #2415	C₂×C₁₃₉	semidirect
342. #2316	C₂×C₁₃₉	semidirect
343. #2310	C₂×C₁₃₉	semidirect
344. #2280	C₂×C₁₃₉	semidirect
349. C₂×C₄⋊Q₈	C₂²×C₁₃₉	semidirect
350. C₂×#124	C₂²×C₁₃₉	semidirect
358. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
362. C₂×C₄×Q₈	C₂²×C₁₃₉	semidirect
365. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
369. C₂×#117	C₂²×C₁₃₉	semidirect
372. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
374. #398	C₂²×C₁₃₉	semidirect
375. #397	C₂²×C₁₃₉	semidirect
378. #391	C₂²×C₁₃₉	semidirect
379. #391	C₂²×C₁₃₉	semidirect
380. #391	C₂²×C₁₃₉	semidirect
381. #389	C₂²×C₁₃₉	semidirect
382. #389	C₂²×C₁₃₉	semidirect
383. #389	C₂²×C₁₃₉	semidirect
391. #380	C₂²×C₁₃₉	semidirect
438. C₂×C₄⋊C₄	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×#536×C₁₃₉	2
C₂×#525×C₁₃₉	2
C₂²×C₂²⋊Q₈×C₁₃₉	2
C₂×#520×C₁₃₉	2
#2534×C₁₃₉	2
#2486×C₁₃₉	2
#2429×C₁₃₉	2
#2427×C₁₃₉	2
#2417×C₁₃₉	2
#2415×C₁₃₉	2
#2316×C₁₃₉	2
#2310×C₁₃₉	2
#2280×C₁₃₉	2
#35633	139

Subgroups — C139×#35633 #48030229

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#35633 #48030229