Subgroups — C₁₃₉×#35938 #48030534

Order 35584.

2072 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#557×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#556×C₁₃₉	C₂	1	1	yes	maximal, characteristic
3	#2664×C₁₃₉	C₂	1	2	yes	maximal, complemented
4	#2658×C₁₃₉	C₂	1	1	yes	maximal, characteristic
5	#2611×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2604×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2592×C₁₃₉	C₂	1	1	yes	maximal, characteristic
8	#2568×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2556×C₁₃₉	C₂	1	4	yes	maximal, complemented
10	#2546×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2545×C₁₃₉	C₂	1	2	yes	maximal
12	#2519×C₁₃₉	C₂	1	4	yes	maximal, complemented
13	#2399×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2396×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2367×C₁₃₉	C₂	1	2	yes	maximal
16	#2365×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2276×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#557×C₁₃₉	—	2	8	no	—
19	#556×C₁₃₉	—	2	8	no	—
20	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
21	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
22	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
23	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
24	C₂×#126×C₁₃₉	C₂²	1	2	yes	—
25	C₂×#126×C₁₃₉	C₂²	1	2	yes	—
26	C₂×#125×C₁₃₉	C₂²	1	4	yes	—
27	C₂×#125×C₁₃₉	C₂²	1	2	yes	—
28	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
29	C₂×#124×C₁₃₉	C₂²	1	2	yes	—
30	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
31	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
32	C₂×C₄×Q₈×C₁₃₉	C₂²	1	2	yes	—
33	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂×C₄×Q₈×C₁₃₉	C₂²	1	2	yes	—
36	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×C₄×Q₈×C₁₃₉	C₂²	1	2	yes	—
38	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂×#117×C₁₃₉	C₂²	1	2	yes	—
41	#400×C₁₃₉	C₂²	1	2	yes	—
42	#400×C₁₃₉	C₂²	1	2	yes	—
43	#399×C₁₃₉	C₂²	1	4	yes	—
44	#399×C₁₃₉	C₂²	1	2	yes	—
45	#399×C₁₃₉	C₂²	1	2	yes	—
46	#398×C₁₃₉	C₂²	1	2	yes	—
47	#398×C₁₃₉	C₂²	1	4	yes	—
48	#398×C₁₃₉	C₂²	1	4	yes	—
49	#398×C₁₃₉	C₂²	1	1	yes	characteristic
50	#398×C₁₃₉	C₂²	1	1	yes	characteristic
51	#397×C₁₃₉	C₂²	1	2	yes	—
52	#396×C₁₃₉	C₂²	1	4	yes	—
53	#396×C₁₃₉	C₂²	1	4	yes	—
54	#395×C₁₃₉	C₂²	1	2	yes	—
55	#395×C₁₃₉	C₂²	1	1	yes	characteristic
56	#395×C₁₃₉	C₂²	1	1	yes	characteristic
57	#393×C₁₃₉	C₂²	1	2	yes	—
58	#391×C₁₃₉	C₂²	1	2	yes	—
59	#391×C₁₃₉	C₂²	1	2	yes	—
60	#391×C₁₃₉	C₂²	1	2	yes	—
61	#391×C₁₃₉	C₂²	1	2	yes	—
62	#390×C₁₃₉	C₂²	1	2	yes	—
63	#389×C₁₃₉	C₂²	1	4	yes	—
64	#389×C₁₃₉	C₂²	1	4	yes	—
65	#389×C₁₃₉	C₂²	1	4	yes	—
66	#388×C₁₃₉	C₂²	1	4	yes	—
67	#388×C₁₃₉	C₂²	1	4	yes	—
68	#388×C₁₃₉	C₂²	1	4	yes	—
69	#388×C₁₃₉	C₂²	1	4	yes	—
70	#388×C₁₃₉	C₂²	1	4	yes	—
71	#387×C₁₃₉	C₂²	1	4	yes	—
72	#387×C₁₃₉	C₂²	1	4	yes	—
73	#385×C₁₃₉	C₂²	1	4	yes	—
74	#382×C₁₃₉	C₂²	1	2	yes	—
75	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	4	yes	—
76	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	4	yes	—
77	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
78	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
79	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
80	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
81	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
82	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	4	yes	—
83	#376×C₁₃₉	C₂²	1	2	yes	—
84	#376×C₁₃₉	C₂²	1	1	yes	characteristic
85	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
86	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
87	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
88	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
89	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
90	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
91	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
92	C₄⋊Q₈×C₁₃₉	—	2	4	no	—
93	C₄⋊Q₈×C₁₃₉	—	2	8	no	—
94	C₄⋊Q₈×C₁₃₉	—	2	4	no	—
95	C₄⋊Q₈×C₁₃₉	—	2	8	no	—
96	#126×C₁₃₉	—	2	8	no	—
97	#126×C₁₃₉	—	2	8	no	—
98	#125×C₁₃₉	—	2	16	no	—
99	#125×C₁₃₉	—	2	8	no	—
100	#124×C₁₃₉	—	2	4	no	—
101	#124×C₁₃₉	—	2	4	no	—
102	#124×C₁₃₉	—	2	8	no	—
103	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
104	C₄×Q₈×C₁₃₉	—	2	4	no	—
105	C₄×Q₈×C₁₃₉	—	2	8	no	—
106	C₄×Q₈×C₁₃₉	—	2	4	no	—
107	C₄×Q₈×C₁₃₉	—	2	8	no	—
108	C₄×Q₈×C₁₃₉	—	2	4	no	—
109	C₄×Q₈×C₁₃₉	—	2	8	no	—
110	C₄×Q₈×C₁₃₉	D₄	1	8	yes	—
111	C₄×D₄×C₁₃₉	—	2	4	no	—
112	#117×C₁₃₉	—	2	8	no	—
113	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
114	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
115	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
116	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
117	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
118	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
119	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	4	yes	—
120	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	4	yes	—
121	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	4	yes	—
122	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
123	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	4	yes	—
124	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
125	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
126	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
127	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
128	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
129	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	4	yes	—
130	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
131	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	4	yes	—
132	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
133	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
134	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
135	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
136	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
137	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
138	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
139	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
140	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
141	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
142	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
143	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
144	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
145	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
146	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
147	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
148	C₂×C₄²×C₁₃₉	C₂³	1	4	yes	—
149	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
150	C₂×C₄²×C₁₃₉	C₂³	1	4	yes	—
151	C₂×C₄²×C₁₃₉	C₂³	1	4	yes	—
152	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
153	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
154	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
155	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
156	#95×C₁₃₉	C₂³	1	2	yes	—
157	#95×C₁₃₉	C₂³	1	2	yes	—
158	#95×C₁₃₉	C₂³	1	1	yes	characteristic
159	#95×C₁₃₉	C₂³	1	1	yes	characteristic
160	#95×C₁₃₉	C₂³	1	2	yes	—
161	#95×C₁₃₉	C₂³	1	4	yes	—
162	#95×C₁₃₉	C₂³	1	4	yes	—
163	#95×C₁₃₉	C₂³	1	4	yes	—
164	#95×C₁₃₉	C₂³	1	2	yes	—
165	#95×C₁₃₉	C₂³	1	2	yes	—
166	#95×C₁₃₉	C₂³	1	2	yes	—
167	#95×C₁₃₉	C₂³	1	4	yes	—
168	#95×C₁₃₉	C₂³	1	4	yes	—
169	#95×C₁₃₉	C₂³	1	4	yes	—
170	#95×C₁₃₉	C₂³	1	4	yes	—
171	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
172	C₂×Q₈×C₁₃₉	—	2	2	no	—
173	C₂×Q₈×C₁₃₉	—	2	2	no	—
174	C₂×Q₈×C₁₃₉	—	2	2	no	—
175	C₂×Q₈×C₁₃₉	—	2	4	no	—
176	C₂×Q₈×C₁₃₉	—	2	4	no	—
177	C₂×Q₈×C₁₃₉	—	2	4	no	—
178	C₂×Q₈×C₁₃₉	—	2	4	no	—
179	C₂×Q₈×C₁₃₉	—	2	4	no	—
180	C₂×Q₈×C₁₃₉	—	2	4	no	—
181	C₂×Q₈×C₁₃₉	—	2	2	no	—
182	C₂×Q₈×C₁₃₉	—	4	1	no	—
183	C₂×Q₈×C₁₃₉	C₂×D₄	1	4	yes	—
184	C₂×D₄×C₁₃₉	—	2	2	no	—
185	C₂×D₄×C₁₃₉	—	2	4	no	—
186	C₂²×C₄×C₁₃₉	—	2	4	no	—
187	C₂²×C₄×C₁₃₉	—	2	4	no	—
188	C₂²×C₄×C₁₃₉	—	4	2	no	—
189	C₂²×C₄×C₁₃₉	C₂⁴	1	4	yes	—
190	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
191	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
192	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
193	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
194	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
195	C₂²×C₄×C₁₃₉	C₂⁴	1	4	yes	—
196	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
197	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
198	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
199	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
200	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
201	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
202	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
203	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
204	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
205	C₄⋊C₄×C₁₃₉	—	2	2	no	—
206	C₄⋊C₄×C₁₃₉	—	2	4	no	—
207	C₄⋊C₄×C₁₃₉	—	2	4	no	—
208	C₄⋊C₄×C₁₃₉	—	2	4	no	—
209	C₄⋊C₄×C₁₃₉	—	2	2	no	—
210	C₄⋊C₄×C₁₃₉	—	2	8	no	—
211	C₄⋊C₄×C₁₃₉	—	2	8	no	—
212	C₄⋊C₄×C₁₃₉	—	2	4	no	—
213	C₄⋊C₄×C₁₃₉	—	2	2	no	—
214	C₄⋊C₄×C₁₃₉	—	2	2	no	—
215	C₄⋊C₄×C₁₃₉	—	2	8	no	—
216	C₄⋊C₄×C₁₃₉	—	2	4	no	—
217	C₄⋊C₄×C₁₃₉	—	2	4	no	—
218	C₄⋊C₄×C₁₃₉	—	2	8	no	—
219	C₄⋊C₄×C₁₃₉	—	2	4	no	—
220	C₄⋊C₄×C₁₃₉	—	2	8	no	—
221	C₄⋊C₄×C₁₃₉	—	2	8	no	—
222	C₄⋊C₄×C₁₃₉	—	2	4	no	—
223	C₄⋊C₄×C₁₃₉	—	2	4	no	—
224	C₄⋊C₄×C₁₃₉	—	2	4	no	—
225	C₄⋊C₄×C₁₃₉	—	4	2	no	—
226	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
227	C₄⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	—
228	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
229	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
230	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
231	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
232	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
233	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
234	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
235	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
236	C₂²⋊C₄×C₁₃₉	—	4	4	no	—
237	C₄²×C₁₃₉	—	2	4	no	—
238	C₄²×C₁₃₉	—	2	2	no	—
239	C₄²×C₁₃₉	—	2	2	no	—
240	C₄²×C₁₃₉	—	2	8	no	—
241	C₄²×C₁₃₉	—	2	4	no	—
242	C₄²×C₁₃₉	—	2	8	no	—
243	C₄²×C₁₃₉	—	4	4	no	—
244	C₄²×C₁₃₉	—	4	2	no	—
245	C₄²×C₁₃₉	C₂×D₄	1	8	yes	—
246	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
247	C₄²×C₁₃₉	#41	1	8	yes	—
248	C₂³×C₁₃₉	—	2	2	no	—
249	C₂³×C₁₃₉	—	2	4	no	—
250	C₂³×C₁₃₉	—	2	4	no	—
251	C₂³×C₁₃₉	—	2	2	no	—
252	C₂³×C₁₃₉	—	2	2	no	—
253	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
254	Q₈×C₁₃₉	—	2	8	no	—
255	Q₈×C₁₃₉	—	2	8	no	—
256	Q₈×C₁₃₉	—	4	4	no	—
257	Q₈×C₁₃₉	—	4	4	no	—
258	Q₈×C₁₃₉	—	4	8	no	—
259	D₄×C₁₃₉	—	4	4	no	—
260	C₂×C₄×C₁₃₉	—	2	2	no	—
261	C₂×C₄×C₁₃₉	—	2	1	no	—
262	C₂×C₄×C₁₃₉	—	2	4	no	—
263	C₂×C₄×C₁₃₉	—	2	2	no	—
264	C₂×C₄×C₁₃₉	—	2	2	no	—
265	C₂×C₄×C₁₃₉	—	2	2	no	—
266	C₂×C₄×C₁₃₉	—	2	2	no	—
267	C₂×C₄×C₁₃₉	—	2	2	no	—
268	C₂×C₄×C₁₃₉	—	2	2	no	—
269	C₂×C₄×C₁₃₉	—	2	1	no	—
270	C₂×C₄×C₁₃₉	—	2	2	no	—
271	C₂×C₄×C₁₃₉	—	2	2	no	—
272	C₂×C₄×C₁₃₉	—	2	1	no	—
273	C₂×C₄×C₁₃₉	—	2	1	no	—
274	C₂×C₄×C₁₃₉	—	2	1	no	—
275	C₂×C₄×C₁₃₉	—	2	1	no	—
276	C₂×C₄×C₁₃₉	—	2	2	no	—
277	C₂×C₄×C₁₃₉	—	2	1	no	—
278	C₂×C₄×C₁₃₉	—	2	2	no	—
279	C₂×C₄×C₁₃₉	—	2	4	no	—
280	C₂×C₄×C₁₃₉	—	2	4	no	—
281	C₂×C₄×C₁₃₉	—	2	4	no	—
282	C₂×C₄×C₁₃₉	—	2	4	no	—
283	C₂×C₄×C₁₃₉	—	2	4	no	—
284	C₂×C₄×C₁₃₉	—	2	4	no	—
285	C₂×C₄×C₁₃₉	—	2	2	no	—
286	C₂×C₄×C₁₃₉	—	2	2	no	—
287	C₂×C₄×C₁₃₉	—	2	2	no	—
288	C₂×C₄×C₁₃₉	—	2	1	no	—
289	C₂×C₄×C₁₃₉	—	2	4	no	—
290	C₂×C₄×C₁₃₉	—	2	2	no	—
291	C₂×C₄×C₁₃₉	—	2	1	no	—
292	C₂×C₄×C₁₃₉	—	4	8	no	—
293	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
294	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
295	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
296	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
297	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
298	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
299	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
300	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
301	C₂×C₄×C₁₃₉	2₋¹⁺⁴	1	4	yes	—
302	C₂×C₄×C₁₃₉	2₋¹⁺⁴	1	2	yes	—
303	C₂²×C₁₃₉	—	4	2	no	—
304	C₂²×C₁₃₉	—	4	2	no	—
305	C₂²×C₁₃₉	—	4	2	no	—
306	C₂²×C₁₃₉	—	4	4	no	—
307	C₂²×C₁₃₉	—	4	4	no	—
308	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
309	C₂²×C₁₃₉	C₂²×#41	1	2	yes	—
310	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	2	yes	—
311	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
312	C₂²×C₁₃₉	#585	1	1	yes	characteristic
313	C₄×C₁₃₉	—	2	4	no	—
314	C₄×C₁₃₉	—	2	2	no	—
315	C₄×C₁₃₉	—	2	4	no	—
316	C₄×C₁₃₉	—	2	2	no	—
317	C₄×C₁₃₉	—	2	4	no	—
318	C₄×C₁₃₉	—	2	2	no	—
319	C₄×C₁₃₉	—	2	4	no	—
320	C₄×C₁₃₉	—	2	4	no	—
321	C₄×C₁₃₉	—	4	2	no	—
322	C₄×C₁₃₉	—	4	4	no	—
323	C₄×C₁₃₉	—	4	1	no	—
324	C₄×C₁₃₉	—	4	1	no	—
325	C₄×C₁₃₉	—	4	2	no	—
326	C₄×C₁₃₉	—	4	1	no	—
327	C₄×C₁₃₉	—	4	4	no	—
328	C₄×C₁₃₉	#532	1	4	yes	—
329	C₂×C₁₃₉	—	8	2	no	—
330	C₂×C₁₃₉	C₂×#532	1	1	yes	characteristic
331	C₂×C₁₃₉	#3486	1	1	yes	characteristic
332	C₂×C₁₃₉	#3489	1	1	yes	characteristic
333	C₂×C₁₃₉	#3507	1	2	yes	—
334	C₂×C₁₃₉	#3509	1	2	yes	—
335	#35938	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
336	C₁₃₉	#35938	1	1	yes	characteristic, direct product factor, Sylow
337	C₂×#557	C₂×C₁₃₉	1	1	yes	characteristic, complemented
338	C₂×#556	C₂×C₁₃₉	1	1	yes	characteristic
339	#2664	C₂×C₁₃₉	1	2	yes	complemented
340	#2658	C₂×C₁₃₉	1	1	yes	characteristic
341	#2611	C₂×C₁₃₉	1	2	yes	complemented
342	#2604	C₂×C₁₃₉	1	2	yes	complemented
343	#2592	C₂×C₁₃₉	1	1	yes	characteristic
344	#2568	C₂×C₁₃₉	1	1	yes	characteristic, complemented
345	#2556	C₂×C₁₃₉	1	4	yes	complemented
346	#2546	C₂×C₁₃₉	1	2	yes	complemented
347	#2545	C₂×C₁₃₉	1	2	yes	—
348	#2519	C₂×C₁₃₉	1	4	yes	complemented
349	#2399	C₂×C₁₃₉	1	1	yes	characteristic, complemented
350	#2396	C₂×C₁₃₉	1	2	yes	complemented
351	#2367	C₂×C₁₃₉	1	2	yes	—
352	#2365	C₂×C₁₃₉	1	2	yes	complemented
353	#2276	C₂×C₁₃₉	1	1	yes	characteristic, complemented
354	#557	—	2	8	no	—
355	#556	—	2	8	no	—
356	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
357	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
358	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
359	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
360	C₂×#126	C₂²×C₁₃₉	1	2	yes	—
361	C₂×#126	C₂²×C₁₃₉	1	2	yes	—
362	C₂×#125	C₂²×C₁₃₉	1	2	yes	—
363	C₂×#125	C₂²×C₁₃₉	1	4	yes	—
364	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
365	C₂×#124	C₂²×C₁₃₉	1	2	yes	—
366	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
367	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
368	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
369	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
370	C₂×C₄×Q₈	C₂²×C₁₃₉	1	2	yes	—
371	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
372	C₂×C₄×Q₈	C₂²×C₁₃₉	1	2	yes	—
373	C₂×C₄×Q₈	C₂²×C₁₃₉	1	2	yes	—
374	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
375	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
376	C₂×#117	C₂²×C₁₃₉	1	2	yes	—
377	#400	C₂²×C₁₃₉	1	2	yes	—
378	#400	C₂²×C₁₃₉	1	2	yes	—
379	#399	C₂²×C₁₃₉	1	2	yes	—
380	#399	C₂²×C₁₃₉	1	2	yes	—
381	#399	C₂²×C₁₃₉	1	4	yes	—
382	#398	C₂²×C₁₃₉	1	1	yes	characteristic
383	#398	C₂²×C₁₃₉	1	4	yes	—
384	#398	C₂²×C₁₃₉	1	1	yes	characteristic
385	#398	C₂²×C₁₃₉	1	2	yes	—
386	#398	C₂²×C₁₃₉	1	4	yes	—
387	#397	C₂²×C₁₃₉	1	2	yes	—
388	#396	C₂²×C₁₃₉	1	4	yes	—
389	#396	C₂²×C₁₃₉	1	4	yes	—
390	#395	C₂²×C₁₃₉	1	1	yes	characteristic
391	#395	C₂²×C₁₃₉	1	1	yes	characteristic
392	#395	C₂²×C₁₃₉	1	2	yes	—
393	#393	C₂²×C₁₃₉	1	2	yes	—
394	#391	C₂²×C₁₃₉	1	2	yes	—
395	#391	C₂²×C₁₃₉	1	2	yes	—
396	#391	C₂²×C₁₃₉	1	2	yes	—
397	#391	C₂²×C₁₃₉	1	2	yes	—
398	#390	C₂²×C₁₃₉	1	2	yes	—
399	#389	C₂²×C₁₃₉	1	4	yes	—
400	#389	C₂²×C₁₃₉	1	4	yes	—
401	#389	C₂²×C₁₃₉	1	4	yes	—
402	#388	C₂²×C₁₃₉	1	4	yes	—
403	#388	C₂²×C₁₃₉	1	4	yes	—
404	#388	C₂²×C₁₃₉	1	4	yes	—
405	#388	C₂²×C₁₃₉	1	4	yes	—
406	#388	C₂²×C₁₃₉	1	4	yes	—
407	#387	C₂²×C₁₃₉	1	4	yes	—
408	#387	C₂²×C₁₃₉	1	4	yes	—
409	#385	C₂²×C₁₃₉	1	4	yes	—
410	#382	C₂²×C₁₃₉	1	2	yes	—
411	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
412	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
413	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	4	yes	—
414	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
415	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
416	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
417	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	4	yes	—
418	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	4	yes	—
419	#376	C₂²×C₁₃₉	1	2	yes	—
420	#376	C₂²×C₁₃₉	1	1	yes	characteristic
421	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
422	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
423	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
424	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
425	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
426	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
427	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
428	C₄⋊Q₈	—	2	4	no	—
429	C₄⋊Q₈	—	2	8	no	—
430	C₄⋊Q₈	—	2	4	no	—
431	C₄⋊Q₈	—	2	8	no	—
432	#126	—	2	8	no	—
433	#126	—	2	8	no	—
434	#125	—	2	16	no	—
435	#125	—	2	8	no	—
436	#124	—	2	4	no	—
437	#124	—	2	4	no	—
438	#124	—	2	8	no	—
439	C₂²⋊Q₈	—	2	8	no	—
440	C₄×Q₈	—	2	4	no	—
441	C₄×Q₈	—	2	8	no	—
442	C₄×Q₈	—	2	4	no	—
443	C₄×Q₈	—	2	8	no	—
444	C₄×Q₈	—	2	4	no	—
445	C₄×Q₈	—	2	8	no	—
446	C₄×Q₈	D₄×C₁₃₉	1	8	yes	—
447	C₄×D₄	—	2	4	no	—
448	#117	—	2	8	no	—
449	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
450	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
451	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
452	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	4	yes	—
453	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
454	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
455	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	4	yes	—
456	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
457	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
458	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
459	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
460	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	4	yes	—
461	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	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	4	yes	—
465	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	4	yes	—
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	2	yes	—
470	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
471	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
472	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
473	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	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	2	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×C₄²	C₂³×C₁₃₉	1	2	yes	—
482	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
483	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
484	C₂×C₄²	C₂³×C₁₃₉	1	4	yes	—
485	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
486	C₂×C₄²	C₂³×C₁₃₉	1	4	yes	—
487	C₂×C₄²	C₂³×C₁₃₉	1	4	yes	—
488	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
489	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
490	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
491	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
492	#95	C₂³×C₁₃₉	1	1	yes	characteristic
493	#95	C₂³×C₁₃₉	1	4	yes	—
494	#95	C₂³×C₁₃₉	1	2	yes	—
495	#95	C₂³×C₁₃₉	1	1	yes	characteristic
496	#95	C₂³×C₁₃₉	1	2	yes	—
497	#95	C₂³×C₁₃₉	1	2	yes	—
498	#95	C₂³×C₁₃₉	1	4	yes	—
499	#95	C₂³×C₁₃₉	1	4	yes	—
500	#95	C₂³×C₁₃₉	1	2	yes	—
501	#95	C₂³×C₁₃₉	1	2	yes	—
502	#95	C₂³×C₁₃₉	1	4	yes	—
503	#95	C₂³×C₁₃₉	1	2	yes	—
504	#95	C₂³×C₁₃₉	1	4	yes	—
505	#95	C₂³×C₁₃₉	1	4	yes	—
506	#95	C₂³×C₁₃₉	1	4	yes	—
507	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
508	C₂×Q₈	—	2	2	no	—
509	C₂×Q₈	—	2	2	no	—
510	C₂×Q₈	—	2	2	no	—
511	C₂×Q₈	—	2	4	no	—
512	C₂×Q₈	—	2	4	no	—
513	C₂×Q₈	—	2	4	no	—
514	C₂×Q₈	—	2	4	no	—
515	C₂×Q₈	—	2	4	no	—
516	C₂×Q₈	—	2	4	no	—
517	C₂×Q₈	—	2	2	no	—
518	C₂×Q₈	—	4	1	no	—
519	C₂×Q₈	C₂×D₄×C₁₃₉	1	4	yes	—
520	C₂×D₄	—	2	2	no	—
521	C₂×D₄	—	2	4	no	—
522	C₂²×C₄	—	2	4	no	—
523	C₂²×C₄	—	2	4	no	—
524	C₂²×C₄	—	4	2	no	—
525	C₂²×C₄	C₂⁴×C₁₃₉	1	4	yes	—
526	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
527	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
528	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
529	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
530	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
531	C₂²×C₄	C₂⁴×C₁₃₉	1	4	yes	—
532	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
533	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
534	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
535	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
536	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
537	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
538	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
539	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
540	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
541	C₄⋊C₄	—	2	2	no	—
542	C₄⋊C₄	—	2	4	no	—
543	C₄⋊C₄	—	2	4	no	—
544	C₄⋊C₄	—	2	4	no	—
545	C₄⋊C₄	—	2	2	no	—
546	C₄⋊C₄	—	2	8	no	—
547	C₄⋊C₄	—	2	8	no	—
548	C₄⋊C₄	—	2	4	no	—
549	C₄⋊C₄	—	2	2	no	—
550	C₄⋊C₄	—	2	2	no	—
551	C₄⋊C₄	—	2	8	no	—
552	C₄⋊C₄	—	2	4	no	—
553	C₄⋊C₄	—	2	4	no	—
554	C₄⋊C₄	—	2	8	no	—
555	C₄⋊C₄	—	2	4	no	—
556	C₄⋊C₄	—	2	8	no	—
557	C₄⋊C₄	—	2	8	no	—
558	C₄⋊C₄	—	2	4	no	—
559	C₄⋊C₄	—	2	4	no	—
560	C₄⋊C₄	—	2	4	no	—
561	C₄⋊C₄	—	4	2	no	—
562	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
563	C₄⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	—
564	C₂²⋊C₄	—	2	4	no	—
565	C₂²⋊C₄	—	2	4	no	—
566	C₂²⋊C₄	—	2	4	no	—
567	C₂²⋊C₄	—	2	4	no	—
568	C₂²⋊C₄	—	2	4	no	—
569	C₂²⋊C₄	—	2	8	no	—
570	C₂²⋊C₄	—	2	8	no	—
571	C₂²⋊C₄	—	2	8	no	—
572	C₂²⋊C₄	—	4	4	no	—
573	C₄²	—	2	4	no	—
574	C₄²	—	2	2	no	—
575	C₄²	—	2	2	no	—
576	C₄²	—	2	8	no	—
577	C₄²	—	2	4	no	—
578	C₄²	—	2	8	no	—
579	C₄²	—	4	4	no	—
580	C₄²	—	4	2	no	—
581	C₄²	C₂×D₄×C₁₃₉	1	8	yes	—
582	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
583	C₄²	#41×C₁₃₉	1	8	yes	—
584	C₂³	—	2	2	no	—
585	C₂³	—	2	4	no	—
586	C₂³	—	2	4	no	—
587	C₂³	—	2	2	no	—
588	C₂³	—	2	2	no	—
589	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
590	Q₈	—	2	8	no	—
591	Q₈	—	2	8	no	—
592	Q₈	—	4	4	no	—
593	Q₈	—	4	4	no	—
594	Q₈	—	4	8	no	—
595	D₄	—	4	4	no	—
596	C₂×C₄	—	2	2	no	—
597	C₂×C₄	—	2	1	no	—
598	C₂×C₄	—	2	4	no	—
599	C₂×C₄	—	2	2	no	—
600	C₂×C₄	—	2	2	no	—
601	C₂×C₄	—	2	2	no	—
602	C₂×C₄	—	2	2	no	—
603	C₂×C₄	—	2	2	no	—
604	C₂×C₄	—	2	2	no	—
605	C₂×C₄	—	2	1	no	—
606	C₂×C₄	—	2	2	no	—
607	C₂×C₄	—	2	2	no	—
608	C₂×C₄	—	2	1	no	—
609	C₂×C₄	—	2	1	no	—
610	C₂×C₄	—	2	1	no	—
611	C₂×C₄	—	2	1	no	—
612	C₂×C₄	—	2	2	no	—
613	C₂×C₄	—	2	1	no	—
614	C₂×C₄	—	2	2	no	—
615	C₂×C₄	—	2	4	no	—
616	C₂×C₄	—	2	4	no	—
617	C₂×C₄	—	2	4	no	—
618	C₂×C₄	—	2	4	no	—
619	C₂×C₄	—	2	4	no	—
620	C₂×C₄	—	2	4	no	—
621	C₂×C₄	—	2	2	no	—
622	C₂×C₄	—	2	2	no	—
623	C₂×C₄	—	2	2	no	—
624	C₂×C₄	—	2	1	no	—
625	C₂×C₄	—	2	4	no	—
626	C₂×C₄	—	2	2	no	—
627	C₂×C₄	—	2	1	no	—
628	C₂×C₄	—	4	8	no	—
629	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
630	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
631	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
632	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
633	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
634	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
635	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
636	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
637	C₂×C₄	2₋¹⁺⁴×C₁₃₉	1	4	yes	—
638	C₂×C₄	2₋¹⁺⁴×C₁₃₉	1	2	yes	—
639	C₂²	—	4	2	no	—
640	C₂²	—	4	2	no	—
641	C₂²	—	4	2	no	—
642	C₂²	—	4	4	no	—
643	C₂²	—	4	4	no	—
644	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
645	C₂²	C₂²×#41×C₁₃₉	1	2	yes	—
646	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	2	yes	—
647	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	1	yes	characteristic
648	C₂²	#585×C₁₃₉	1	1	yes	characteristic
649	C₄	—	2	4	no	—
650	C₄	—	2	2	no	—
651	C₄	—	2	4	no	—
652	C₄	—	2	2	no	—
653	C₄	—	2	4	no	—
654	C₄	—	2	2	no	—
655	C₄	—	2	4	no	—
656	C₄	—	2	4	no	—
657	C₄	—	4	2	no	—
658	C₄	—	4	4	no	—
659	C₄	—	4	1	no	—
660	C₄	—	4	1	no	—
661	C₄	—	4	1	no	—
662	C₄	—	4	2	no	—
663	C₄	—	4	4	no	—
664	C₄	#532×C₁₃₉	1	4	yes	—
665	C₂	—	8	2	no	—
666	C₂	C₂×#532×C₁₃₉	1	1	yes	characteristic
667	C₂	#3486×C₁₃₉	1	1	yes	characteristic
668	C₂	#3489×C₁₃₉	1	1	yes	characteristic
669	C₂	#3507×C₁₃₉	1	2	yes	—
670	C₂	#3509×C₁₃₉	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	C₂²×D₄×C₁₃₉	C₂³
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×#557×C₁₃₉	C₂	semidirect
3. #2664×C₁₃₉	C₂	semidirect
5. #2611×C₁₃₉	C₂	semidirect
6. #2604×C₁₃₉	C₂	semidirect
8. #2568×C₁₃₉	C₂	semidirect
9. #2556×C₁₃₉	C₂	semidirect
10. #2546×C₁₃₉	C₂	semidirect
12. #2519×C₁₃₉	C₂	semidirect
13. #2399×C₁₃₉	C₂	semidirect
14. #2396×C₁₃₉	C₂	semidirect
16. #2365×C₁₃₉	C₂	semidirect
17. #2276×C₁₃₉	C₂	semidirect
335. #35938	C₁₃₉	direct (N × H)
336. C₁₃₉	#35938	direct (N × H)
337. C₂×#557	C₂×C₁₃₉	semidirect
339. #2664	C₂×C₁₃₉	semidirect
341. #2611	C₂×C₁₃₉	semidirect
342. #2604	C₂×C₁₃₉	semidirect
344. #2568	C₂×C₁₃₉	semidirect
345. #2556	C₂×C₁₃₉	semidirect
346. #2546	C₂×C₁₃₉	semidirect
348. #2519	C₂×C₁₃₉	semidirect
349. #2399	C₂×C₁₃₉	semidirect
350. #2396	C₂×C₁₃₉	semidirect
352. #2365	C₂×C₁₃₉	semidirect
353. #2276	C₂×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#557×C₁₃₉	2
C₂×#556×C₁₃₉	2
#2664×C₁₃₉	2
#2658×C₁₃₉	2
#2611×C₁₃₉	2
#2604×C₁₃₉	2
#2592×C₁₃₉	2
#2568×C₁₃₉	2
#2556×C₁₃₉	2
#2546×C₁₃₉	2
#2545×C₁₃₉	2
#2519×C₁₃₉	2
#2399×C₁₃₉	2
#2396×C₁₃₉	2
#2367×C₁₃₉	2
#2365×C₁₃₉	2
#2276×C₁₃₉	2
#35938	139

Subgroups — C139×#35938 #48030534

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#35938 #48030534