Subgroups — C₁₃₉×#35732 #48030328

Order 35584.

2642 conjugacy classes of subgroups.

The subgroup lattice has 994 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#551×C₁₃₉	C₂	1	2	yes	maximal, complemented
2	#2662×C₁₃₉	C₂	1	2	yes	maximal, complemented
3	#2618×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2601×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2560×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2554×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2549×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2544×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2472×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2461×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2445×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2433×C₁₃₉	C₂	1	1	yes	maximal, characteristic
13	#2411×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2392×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	C₂×#394×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2364×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2358×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	D₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2274×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
21	#551×C₁₃₉	—	2	16	no	—
22	C₂×#127×C₁₃₉	C₂²	1	2	yes	—
23	C₂×#126×C₁₃₉	C₂²	1	2	yes	complemented
24	C₂×#126×C₁₃₉	C₂²	1	2	yes	complemented
25	C₂×#124×C₁₃₉	C₂²	1	2	yes	complemented
26	C₂×#124×C₁₃₉	C₂²	1	2	yes	complemented
27	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
28	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
29	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
30	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
31	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	complemented
32	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
34	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
35	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
36	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
37	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
38	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
39	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
41	C₂×#117×C₁₃₉	C₂²	1	2	yes	complemented
42	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
44	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
45	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
46	#398×C₁₃₉	C₂²	1	2	yes	complemented
47	#398×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
48	#398×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
49	#397×C₁₃₉	C₂²	1	2	yes	complemented
50	#396×C₁₃₉	C₂²	1	2	yes	complemented
51	#396×C₁₃₉	C₂²	1	2	yes	complemented
52	#396×C₁₃₉	C₂²	1	2	yes	complemented
53	#396×C₁₃₉	C₂²	1	2	yes	complemented
54	#395×C₁₃₉	C₂²	1	2	yes	complemented
55	#394×C₁₃₉	C₂²	1	2	yes	—
56	#394×C₁₃₉	C₂²	1	1	yes	characteristic
57	#394×C₁₃₉	C₂²	1	2	yes	—
58	#394×C₁₃₉	C₂²	1	1	yes	characteristic
59	#394×C₁₃₉	C₂²	1	1	yes	characteristic
60	#394×C₁₃₉	C₂²	1	1	yes	characteristic
61	#394×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
62	#394×C₁₃₉	C₂²	1	2	yes	complemented
63	#394×C₁₃₉	C₂²	1	2	yes	complemented
64	#394×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
65	#394×C₁₃₉	C₂²	1	2	yes	complemented
66	#394×C₁₃₉	C₂²	1	2	yes	complemented
67	#393×C₁₃₉	C₂²	1	2	yes	complemented
68	#392×C₁₃₉	C₂²	1	2	yes	—
69	#392×C₁₃₉	C₂²	1	2	yes	—
70	#391×C₁₃₉	C₂²	1	2	yes	complemented
71	#390×C₁₃₉	C₂²	1	2	yes	—
72	#390×C₁₃₉	C₂²	1	2	yes	—
73	#390×C₁₃₉	C₂²	1	2	yes	complemented
74	#390×C₁₃₉	C₂²	1	2	yes	complemented
75	#390×C₁₃₉	C₂²	1	2	yes	complemented
76	#390×C₁₃₉	C₂²	1	2	yes	complemented
77	#389×C₁₃₉	C₂²	1	2	yes	complemented
78	#388×C₁₃₉	C₂²	1	2	yes	complemented
79	#388×C₁₃₉	C₂²	1	2	yes	complemented
80	#388×C₁₃₉	C₂²	1	2	yes	complemented
81	#388×C₁₃₉	C₂²	1	2	yes	complemented
82	#388×C₁₃₉	C₂²	1	2	yes	complemented
83	#388×C₁₃₉	C₂²	1	2	yes	complemented
84	#388×C₁₃₉	C₂²	1	2	yes	complemented
85	#387×C₁₃₉	C₂²	1	2	yes	complemented
86	#386×C₁₃₉	C₂²	1	2	yes	—
87	#386×C₁₃₉	C₂²	1	2	yes	—
88	#386×C₁₃₉	C₂²	1	2	yes	—
89	#386×C₁₃₉	C₂²	1	2	yes	—
90	#386×C₁₃₉	C₂²	1	2	yes	complemented
91	#386×C₁₃₉	C₂²	1	2	yes	complemented
92	#386×C₁₃₉	C₂²	1	2	yes	complemented
93	#385×C₁₃₉	C₂²	1	2	yes	—
94	#385×C₁₃₉	C₂²	1	2	yes	complemented
95	#380×C₁₃₉	C₂²	1	1	yes	characteristic
96	#379×C₁₃₉	C₂²	1	2	yes	—
97	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
98	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
99	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
100	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
101	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
102	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
103	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
104	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
105	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
106	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
107	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
108	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
109	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
110	C₂²×D₄×C₁₃₉	—	2	4	no	—
111	C₂²×D₄×C₁₃₉	—	4	4	no	—
112	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
113	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
114	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
115	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
116	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
117	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
118	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
119	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
120	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
121	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
122	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
123	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
124	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
125	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
126	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
127	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
128	#127×C₁₃₉	—	4	4	no	—
129	#126×C₁₃₉	—	2	8	no	—
130	#126×C₁₃₉	—	2	8	no	—
131	#124×C₁₃₉	—	2	8	no	—
132	#124×C₁₃₉	—	4	4	no	—
133	#123×C₁₃₉	—	2	8	no	—
134	#123×C₁₃₉	—	2	8	no	—
135	#123×C₁₃₉	—	2	8	no	—
136	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
137	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
138	#121×C₁₃₉	—	2	4	no	—
139	#120×C₁₃₉	—	2	8	no	—
140	#120×C₁₃₉	—	2	8	no	—
141	C₄×D₄×C₁₃₉	—	2	8	no	—
142	C₄×D₄×C₁₃₉	—	2	8	no	—
143	C₄×D₄×C₁₃₉	—	4	4	no	—
144	C₄×D₄×C₁₃₉	—	4	4	no	—
145	#117×C₁₃₉	—	2	4	no	—
146	#117×C₁₃₉	—	2	8	no	—
147	#117×C₁₃₉	D₄	1	8	yes	complemented
148	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
149	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
150	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
151	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
152	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
153	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
154	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
155	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
156	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
157	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
158	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
159	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
160	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
161	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
162	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
163	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
164	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
165	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
166	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
167	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
168	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
169	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
170	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
171	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
172	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
173	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
174	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
175	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
176	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
177	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
178	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
179	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
180	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
182	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
183	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
184	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
185	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
186	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
187	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
188	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
189	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
190	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
191	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
192	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
193	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
196	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
197	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
198	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
199	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
200	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
201	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
202	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
203	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
204	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
205	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
206	#95×C₁₃₉	C₂³	1	1	yes	characteristic
207	#95×C₁₃₉	C₂³	1	2	yes	—
208	#95×C₁₃₉	C₂³	1	2	yes	—
209	#95×C₁₃₉	C₂³	1	2	yes	—
210	#95×C₁₃₉	C₂³	1	2	yes	—
211	#95×C₁₃₉	C₂³	1	2	yes	—
212	#95×C₁₃₉	C₂³	1	2	yes	—
213	#95×C₁₃₉	C₂³	1	2	yes	—
214	#95×C₁₃₉	C₂³	1	1	yes	characteristic
215	#95×C₁₃₉	C₂³	1	2	yes	—
216	#95×C₁₃₉	C₂³	1	1	yes	characteristic
217	#95×C₁₃₉	C₂³	1	1	yes	characteristic
218	#95×C₁₃₉	C₂³	1	2	yes	—
219	#95×C₁₃₉	C₂³	1	2	yes	—
220	#95×C₁₃₉	C₂³	1	2	yes	—
221	C₂⁴×C₁₃₉	—	2	4	no	—
222	C₂⁴×C₁₃₉	—	2	4	no	—
223	C₂⁴×C₁₃₉	—	2	4	no	—
224	C₂⁴×C₁₃₉	—	2	4	no	—
225	C₂⁴×C₁₃₉	—	4	2	no	—
226	C₂⁴×C₁₃₉	—	4	2	no	—
227	C₂⁴×C₁₃₉	—	4	2	no	—
228	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
229	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
230	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
231	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
232	C₂×Q₈×C₁₃₉	—	2	4	no	—
233	C₂×Q₈×C₁₃₉	—	4	2	no	—
234	C₂×Q₈×C₁₃₉	—	4	2	no	—
235	C₂×D₄×C₁₃₉	—	2	4	no	—
236	C₂×D₄×C₁₃₉	—	2	4	no	—
237	C₂×D₄×C₁₃₉	—	2	4	no	—
238	C₂×D₄×C₁₃₉	—	2	4	no	—
239	C₂×D₄×C₁₃₉	—	2	4	no	—
240	C₂×D₄×C₁₃₉	—	2	4	no	—
241	C₂×D₄×C₁₃₉	—	2	4	no	—
242	C₂×D₄×C₁₃₉	—	2	4	no	—
243	C₂×D₄×C₁₃₉	—	2	4	no	—
244	C₂×D₄×C₁₃₉	—	2	2	no	—
245	C₂×D₄×C₁₃₉	—	2	4	no	—
246	C₂×D₄×C₁₃₉	—	2	2	no	—
247	C₂×D₄×C₁₃₉	—	2	4	no	—
248	C₂×D₄×C₁₃₉	—	2	4	no	—
249	C₂×D₄×C₁₃₉	—	2	2	no	—
250	C₂×D₄×C₁₃₉	—	4	2	no	—
251	C₂×D₄×C₁₃₉	—	4	2	no	—
252	C₂×D₄×C₁₃₉	—	4	2	no	—
253	C₂×D₄×C₁₃₉	—	4	2	no	—
254	C₂×D₄×C₁₃₉	—	4	2	no	—
255	C₂×D₄×C₁₃₉	—	4	2	no	—
256	C₂×D₄×C₁₃₉	—	4	2	no	—
257	C₂×D₄×C₁₃₉	—	4	2	no	—
258	C₂×D₄×C₁₃₉	—	4	2	no	—
259	C₂×D₄×C₁₃₉	—	4	16	no	—
260	C₂²×C₄×C₁₃₉	—	2	2	no	—
261	C₂²×C₄×C₁₃₉	—	2	2	no	—
262	C₂²×C₄×C₁₃₉	—	2	4	no	—
263	C₂²×C₄×C₁₃₉	—	2	4	no	—
264	C₂²×C₄×C₁₃₉	—	2	2	no	—
265	C₂²×C₄×C₁₃₉	—	2	4	no	—
266	C₂²×C₄×C₁₃₉	—	2	4	no	—
267	C₂²×C₄×C₁₃₉	—	2	4	no	—
268	C₂²×C₄×C₁₃₉	—	4	2	no	—
269	C₂²×C₄×C₁₃₉	—	4	2	no	—
270	C₂²×C₄×C₁₃₉	—	4	2	no	—
271	C₂²×C₄×C₁₃₉	—	4	2	no	—
272	C₂²×C₄×C₁₃₉	—	4	2	no	—
273	C₂²×C₄×C₁₃₉	—	4	2	no	—
274	C₂²×C₄×C₁₃₉	—	4	2	no	—
275	C₂²×C₄×C₁₃₉	—	4	2	no	—
276	C₂²×C₄×C₁₃₉	—	4	2	no	—
277	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
278	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
279	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
280	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
281	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
282	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
283	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
284	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
285	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
286	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
287	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
288	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
289	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
290	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
291	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
292	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
293	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
294	C₄⋊C₄×C₁₃₉	—	2	4	no	—
295	C₄⋊C₄×C₁₃₉	—	2	4	no	—
296	C₄⋊C₄×C₁₃₉	—	2	4	no	—
297	C₄⋊C₄×C₁₃₉	—	2	4	no	—
298	C₄⋊C₄×C₁₃₉	—	2	4	no	—
299	C₄⋊C₄×C₁₃₉	—	2	4	no	—
300	C₄⋊C₄×C₁₃₉	—	2	2	no	—
301	C₄⋊C₄×C₁₃₉	—	2	2	no	—
302	C₄⋊C₄×C₁₃₉	—	2	2	no	—
303	C₄⋊C₄×C₁₃₉	—	2	2	no	—
304	C₄⋊C₄×C₁₃₉	—	2	4	no	—
305	C₄⋊C₄×C₁₃₉	—	2	2	no	—
306	C₄⋊C₄×C₁₃₉	—	4	2	no	—
307	C₄⋊C₄×C₁₃₉	—	4	2	no	—
308	C₄⋊C₄×C₁₃₉	—	4	2	no	—
309	C₄⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	complemented
310	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
311	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
312	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
313	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
314	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
315	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
316	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
317	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
318	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
319	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
320	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
321	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
322	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
323	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
324	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
325	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
326	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
327	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
328	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
329	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
330	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
331	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
332	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
333	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
334	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
335	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
336	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
337	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
338	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
339	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
340	C₂²⋊C₄×C₁₃₉	#41	1	4	yes	—
341	C₄²×C₁₃₉	—	2	4	no	—
342	C₄²×C₁₃₉	—	2	4	no	—
343	C₄²×C₁₃₉	—	4	2	no	—
344	C₄²×C₁₃₉	—	4	2	no	—
345	C₄²×C₁₃₉	—	4	2	no	—
346	C₄²×C₁₃₉	—	4	2	no	—
347	C₄²×C₁₃₉	C₂×D₄	1	8	yes	complemented
348	C₂³×C₁₃₉	—	2	2	no	—
349	C₂³×C₁₃₉	—	2	2	no	—
350	C₂³×C₁₃₉	—	2	2	no	—
351	C₂³×C₁₃₉	—	2	2	no	—
352	C₂³×C₁₃₉	—	2	2	no	—
353	C₂³×C₁₃₉	—	2	2	no	—
354	C₂³×C₁₃₉	—	2	2	no	—
355	C₂³×C₁₃₉	—	2	2	no	—
356	C₂³×C₁₃₉	—	2	2	no	—
357	C₂³×C₁₃₉	—	2	2	no	—
358	C₂³×C₁₃₉	—	2	2	no	—
359	C₂³×C₁₃₉	—	2	2	no	—
360	C₂³×C₁₃₉	—	2	2	no	—
361	C₂³×C₁₃₉	—	2	2	no	—
362	C₂³×C₁₃₉	—	2	2	no	—
363	C₂³×C₁₃₉	—	2	2	no	—
364	C₂³×C₁₃₉	—	2	2	no	—
365	C₂³×C₁₃₉	—	2	2	no	—
366	C₂³×C₁₃₉	—	2	2	no	—
367	C₂³×C₁₃₉	—	2	2	no	—
368	C₂³×C₁₃₉	—	2	2	no	—
369	C₂³×C₁₃₉	—	2	2	no	—
370	C₂³×C₁₃₉	—	4	8	no	—
371	C₂³×C₁₃₉	—	4	8	no	—
372	C₂³×C₁₃₉	—	4	8	no	—
373	C₂³×C₁₃₉	—	4	8	no	—
374	C₂³×C₁₃₉	—	8	4	no	—
375	C₂³×C₁₃₉	—	8	4	no	—
376	C₂³×C₁₃₉	—	8	4	no	—
377	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
378	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
379	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
380	C₂³×C₁₃₉	H(5,𝔽₂)	1	4	yes	—
381	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
382	Q₈×C₁₃₉	—	8	4	no	—
383	D₄×C₁₃₉	—	2	8	no	—
384	D₄×C₁₃₉	—	4	8	no	—
385	D₄×C₁₃₉	—	4	8	no	—
386	D₄×C₁₃₉	—	4	8	no	—
387	D₄×C₁₃₉	—	4	4	no	—
388	D₄×C₁₃₉	—	4	8	no	—
389	D₄×C₁₃₉	—	8	4	no	—
390	D₄×C₁₃₉	—	8	2	no	—
391	D₄×C₁₃₉	—	8	4	no	—
392	C₂×C₄×C₁₃₉	—	2	8	no	—
393	C₂×C₄×C₁₃₉	—	2	1	no	—
394	C₂×C₄×C₁₃₉	—	2	1	no	—
395	C₂×C₄×C₁₃₉	—	2	1	no	—
396	C₂×C₄×C₁₃₉	—	2	1	no	—
397	C₂×C₄×C₁₃₉	—	2	2	no	—
398	C₂×C₄×C₁₃₉	—	2	2	no	—
399	C₂×C₄×C₁₃₉	—	2	2	no	—
400	C₂×C₄×C₁₃₉	—	2	2	no	—
401	C₂×C₄×C₁₃₉	—	2	2	no	—
402	C₂×C₄×C₁₃₉	—	2	2	no	—
403	C₂×C₄×C₁₃₉	—	2	2	no	—
404	C₂×C₄×C₁₃₉	—	2	2	no	—
405	C₂×C₄×C₁₃₉	—	2	2	no	—
406	C₂×C₄×C₁₃₉	—	2	2	no	—
407	C₂×C₄×C₁₃₉	—	2	2	no	—
408	C₂×C₄×C₁₃₉	—	2	2	no	—
409	C₂×C₄×C₁₃₉	—	2	2	no	—
410	C₂×C₄×C₁₃₉	—	2	2	no	—
411	C₂×C₄×C₁₃₉	—	2	2	no	—
412	C₂×C₄×C₁₃₉	—	2	2	no	—
413	C₂×C₄×C₁₃₉	—	2	1	no	—
414	C₂×C₄×C₁₃₉	—	2	1	no	—
415	C₂×C₄×C₁₃₉	—	2	2	no	—
416	C₂×C₄×C₁₃₉	—	2	2	no	—
417	C₂×C₄×C₁₃₉	—	2	2	no	—
418	C₂×C₄×C₁₃₉	—	2	2	no	—
419	C₂×C₄×C₁₃₉	—	2	2	no	—
420	C₂×C₄×C₁₃₉	—	2	2	no	—
421	C₂×C₄×C₁₃₉	—	2	2	no	—
422	C₂×C₄×C₁₃₉	—	2	2	no	—
423	C₂×C₄×C₁₃₉	—	2	2	no	—
424	C₂×C₄×C₁₃₉	—	2	2	no	—
425	C₂×C₄×C₁₃₉	—	2	2	no	—
426	C₂×C₄×C₁₃₉	—	2	2	no	—
427	C₂×C₄×C₁₃₉	—	4	4	no	—
428	C₂×C₄×C₁₃₉	—	4	8	no	—
429	C₂×C₄×C₁₃₉	—	8	4	no	—
430	C₂×C₄×C₁₃₉	—	8	4	no	—
431	C₂×C₄×C₁₃₉	—	8	4	no	—
432	C₂×C₄×C₁₃₉	—	8	2	no	—
433	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
434	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
435	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
436	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
437	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
438	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
439	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
440	C₂²×C₁₃₉	—	2	4	no	—
441	C₂²×C₁₃₉	—	2	2	no	—
442	C₂²×C₁₃₉	—	2	2	no	—
443	C₂²×C₁₃₉	—	2	4	no	—
444	C₂²×C₁₃₉	—	2	4	no	—
445	C₂²×C₁₃₉	—	2	4	no	—
446	C₂²×C₁₃₉	—	2	4	no	—
447	C₂²×C₁₃₉	—	4	2	no	—
448	C₂²×C₁₃₉	—	4	2	no	—
449	C₂²×C₁₃₉	—	4	2	no	—
450	C₂²×C₁₃₉	—	4	2	no	—
451	C₂²×C₁₃₉	—	4	2	no	—
452	C₂²×C₁₃₉	—	4	2	no	—
453	C₂²×C₁₃₉	—	4	2	no	—
454	C₂²×C₁₃₉	—	4	2	no	—
455	C₂²×C₁₃₉	—	4	2	no	—
456	C₂²×C₁₃₉	—	4	2	no	—
457	C₂²×C₁₃₉	—	4	2	no	—
458	C₂²×C₁₃₉	—	4	2	no	—
459	C₂²×C₁₃₉	—	4	2	no	—
460	C₂²×C₁₃₉	—	4	2	no	—
461	C₂²×C₁₃₉	—	4	2	no	—
462	C₂²×C₁₃₉	—	4	2	no	—
463	C₂²×C₁₃₉	—	4	2	no	—
464	C₂²×C₁₃₉	—	4	2	no	—
465	C₂²×C₁₃₉	—	8	16	no	—
466	C₂²×C₁₃₉	#532	1	4	yes	—
467	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
468	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
469	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
470	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	2	yes	—
471	C₂²×C₁₃₉	#585	1	2	yes	—
472	C₄×C₁₃₉	—	2	2	no	—
473	C₄×C₁₃₉	—	2	2	no	—
474	C₄×C₁₃₉	—	2	4	no	—
475	C₄×C₁₃₉	—	2	4	no	—
476	C₄×C₁₃₉	—	2	2	no	—
477	C₄×C₁₃₉	—	2	2	no	—
478	C₄×C₁₃₉	—	2	4	no	—
479	C₄×C₁₃₉	—	4	2	no	—
480	C₄×C₁₃₉	—	4	2	no	—
481	C₄×C₁₃₉	—	4	2	no	—
482	C₄×C₁₃₉	—	4	2	no	—
483	C₄×C₁₃₉	—	4	2	no	—
484	C₄×C₁₃₉	—	4	1	no	—
485	C₄×C₁₃₉	—	4	1	no	—
486	C₄×C₁₃₉	—	4	2	no	—
487	C₂×C₁₃₉	—	2	4	no	—
488	C₂×C₁₃₉	—	4	4	no	—
489	C₂×C₁₃₉	—	8	2	no	—
490	C₂×C₁₃₉	—	8	2	no	—
491	C₂×C₁₃₉	C₂×#532	1	1	yes	characteristic
492	C₂×C₁₃₉	#3488	1	2	yes	—
493	C₂×C₁₃₉	#3490	1	1	yes	characteristic
494	C₂×C₁₃₉	#3510	1	1	yes	characteristic
495	C₂×C₁₃₉	#3513	1	2	yes	—
496	#35732	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
497	C₁₃₉	#35732	1	1	yes	characteristic, direct product factor, Sylow
498	C₂×#551	C₂×C₁₃₉	1	2	yes	complemented
499	#2662	C₂×C₁₃₉	1	2	yes	complemented
500	#2618	C₂×C₁₃₉	1	1	yes	characteristic, complemented
501	#2601	C₂×C₁₃₉	1	2	yes	complemented
502	#2560	C₂×C₁₃₉	1	2	yes	complemented
503	#2554	C₂×C₁₃₉	1	2	yes	complemented
504	#2549	C₂×C₁₃₉	1	1	yes	characteristic, complemented
505	#2544	C₂×C₁₃₉	1	2	yes	complemented
506	#2472	C₂×C₁₃₉	1	2	yes	complemented
507	#2461	C₂×C₁₃₉	1	2	yes	complemented
508	#2445	C₂×C₁₃₉	1	2	yes	complemented
509	#2433	C₂×C₁₃₉	1	1	yes	characteristic
510	#2411	C₂×C₁₃₉	1	2	yes	complemented
511	#2392	C₂×C₁₃₉	1	2	yes	complemented
512	C₂×#394	C₂×C₁₃₉	1	1	yes	characteristic, complemented
513	#2364	C₂×C₁₃₉	1	1	yes	characteristic, complemented
514	#2358	C₂×C₁₃₉	1	2	yes	complemented
515	D₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
516	#2274	C₂×C₁₃₉	1	1	yes	characteristic, complemented
517	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
518	#551	—	2	16	no	—
519	C₂×#127	C₂²×C₁₃₉	1	2	yes	—
520	C₂×#126	C₂²×C₁₃₉	1	2	yes	complemented
521	C₂×#126	C₂²×C₁₃₉	1	2	yes	complemented
522	C₂×#124	C₂²×C₁₃₉	1	2	yes	complemented
523	C₂×#124	C₂²×C₁₃₉	1	2	yes	complemented
524	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
525	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
526	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
527	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
528	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	complemented
529	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
530	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
531	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
532	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
533	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
534	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
535	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
536	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
537	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
538	C₂×#117	C₂²×C₁₃₉	1	2	yes	complemented
539	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
540	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
541	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
542	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
543	#398	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
544	#398	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
545	#398	C₂²×C₁₃₉	1	2	yes	complemented
546	#397	C₂²×C₁₃₉	1	2	yes	complemented
547	#396	C₂²×C₁₃₉	1	2	yes	complemented
548	#396	C₂²×C₁₃₉	1	2	yes	complemented
549	#396	C₂²×C₁₃₉	1	2	yes	complemented
550	#396	C₂²×C₁₃₉	1	2	yes	complemented
551	#395	C₂²×C₁₃₉	1	2	yes	complemented
552	#394	C₂²×C₁₃₉	1	2	yes	—
553	#394	C₂²×C₁₃₉	1	2	yes	—
554	#394	C₂²×C₁₃₉	1	1	yes	characteristic
555	#394	C₂²×C₁₃₉	1	1	yes	characteristic
556	#394	C₂²×C₁₃₉	1	1	yes	characteristic
557	#394	C₂²×C₁₃₉	1	1	yes	characteristic
558	#394	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
559	#394	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
560	#394	C₂²×C₁₃₉	1	2	yes	complemented
561	#394	C₂²×C₁₃₉	1	2	yes	complemented
562	#394	C₂²×C₁₃₉	1	2	yes	complemented
563	#394	C₂²×C₁₃₉	1	2	yes	complemented
564	#393	C₂²×C₁₃₉	1	2	yes	complemented
565	#392	C₂²×C₁₃₉	1	2	yes	—
566	#392	C₂²×C₁₃₉	1	2	yes	—
567	#391	C₂²×C₁₃₉	1	2	yes	complemented
568	#390	C₂²×C₁₃₉	1	2	yes	—
569	#390	C₂²×C₁₃₉	1	2	yes	—
570	#390	C₂²×C₁₃₉	1	2	yes	complemented
571	#390	C₂²×C₁₃₉	1	2	yes	complemented
572	#390	C₂²×C₁₃₉	1	2	yes	complemented
573	#390	C₂²×C₁₃₉	1	2	yes	complemented
574	#389	C₂²×C₁₃₉	1	2	yes	complemented
575	#388	C₂²×C₁₃₉	1	2	yes	complemented
576	#388	C₂²×C₁₃₉	1	2	yes	complemented
577	#388	C₂²×C₁₃₉	1	2	yes	complemented
578	#388	C₂²×C₁₃₉	1	2	yes	complemented
579	#388	C₂²×C₁₃₉	1	2	yes	complemented
580	#388	C₂²×C₁₃₉	1	2	yes	complemented
581	#388	C₂²×C₁₃₉	1	2	yes	complemented
582	#387	C₂²×C₁₃₉	1	2	yes	complemented
583	#386	C₂²×C₁₃₉	1	2	yes	—
584	#386	C₂²×C₁₃₉	1	2	yes	—
585	#386	C₂²×C₁₃₉	1	2	yes	—
586	#386	C₂²×C₁₃₉	1	2	yes	—
587	#386	C₂²×C₁₃₉	1	2	yes	complemented
588	#386	C₂²×C₁₃₉	1	2	yes	complemented
589	#386	C₂²×C₁₃₉	1	2	yes	complemented
590	#385	C₂²×C₁₃₉	1	2	yes	—
591	#385	C₂²×C₁₃₉	1	2	yes	complemented
592	#380	C₂²×C₁₃₉	1	1	yes	characteristic
593	#379	C₂²×C₁₃₉	1	2	yes	—
594	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
595	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
596	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
597	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
598	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
599	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
600	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
601	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
602	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
603	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
604	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
605	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
606	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
607	C₂²×D₄	—	2	4	no	—
608	C₂²×D₄	—	4	4	no	—
609	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
610	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
611	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
612	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
613	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
614	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
615	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
616	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
617	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
618	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
619	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
620	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
621	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
622	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
623	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
624	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
625	#127	—	4	4	no	—
626	#126	—	2	8	no	—
627	#126	—	2	8	no	—
628	#124	—	2	8	no	—
629	#124	—	4	4	no	—
630	#123	—	2	8	no	—
631	#123	—	2	8	no	—
632	#123	—	2	8	no	—
633	C₂²⋊Q₈	—	2	8	no	—
634	C₂²⋊Q₈	—	2	8	no	—
635	#121	—	2	4	no	—
636	#120	—	2	8	no	—
637	#120	—	2	8	no	—
638	C₄×D₄	—	2	8	no	—
639	C₄×D₄	—	2	8	no	—
640	C₄×D₄	—	4	4	no	—
641	C₄×D₄	—	4	4	no	—
642	#117	—	2	4	no	—
643	#117	—	2	8	no	—
644	#117	D₄×C₁₃₉	1	8	yes	complemented
645	C₂×C₄⋊C₄	—	2	4	no	—
646	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
647	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
648	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
649	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
650	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
651	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
652	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
653	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
654	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
655	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
656	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
657	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
658	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
659	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
660	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
661	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
662	C₂×C₂²⋊C₄	—	2	8	no	—
663	C₂×C₂²⋊C₄	—	2	8	no	—
664	C₂×C₂²⋊C₄	—	4	4	no	—
665	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
666	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
667	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
668	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
669	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
670	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
671	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
672	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
673	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
674	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
675	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
676	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
677	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
678	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
679	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
680	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
681	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
682	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
683	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
684	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
685	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
686	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
687	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
688	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
689	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
690	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
691	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
692	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
693	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
694	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
695	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
696	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
697	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
698	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
699	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
700	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
701	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
702	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
703	#95	C₂³×C₁₃₉	1	1	yes	characteristic
704	#95	C₂³×C₁₃₉	1	2	yes	—
705	#95	C₂³×C₁₃₉	1	1	yes	characteristic
706	#95	C₂³×C₁₃₉	1	2	yes	—
707	#95	C₂³×C₁₃₉	1	2	yes	—
708	#95	C₂³×C₁₃₉	1	2	yes	—
709	#95	C₂³×C₁₃₉	1	2	yes	—
710	#95	C₂³×C₁₃₉	1	2	yes	—
711	#95	C₂³×C₁₃₉	1	2	yes	—
712	#95	C₂³×C₁₃₉	1	2	yes	—
713	#95	C₂³×C₁₃₉	1	1	yes	characteristic
714	#95	C₂³×C₁₃₉	1	1	yes	characteristic
715	#95	C₂³×C₁₃₉	1	2	yes	—
716	#95	C₂³×C₁₃₉	1	2	yes	—
717	#95	C₂³×C₁₃₉	1	2	yes	—
718	C₂⁴	—	2	4	no	—
719	C₂⁴	—	2	4	no	—
720	C₂⁴	—	2	4	no	—
721	C₂⁴	—	2	4	no	—
722	C₂⁴	—	4	2	no	—
723	C₂⁴	—	4	2	no	—
724	C₂⁴	—	4	2	no	—
725	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
726	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
727	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
728	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
729	C₂×Q₈	—	2	4	no	—
730	C₂×Q₈	—	4	2	no	—
731	C₂×Q₈	—	4	2	no	—
732	C₂×D₄	—	2	4	no	—
733	C₂×D₄	—	2	4	no	—
734	C₂×D₄	—	2	4	no	—
735	C₂×D₄	—	2	4	no	—
736	C₂×D₄	—	2	4	no	—
737	C₂×D₄	—	2	4	no	—
738	C₂×D₄	—	2	4	no	—
739	C₂×D₄	—	2	4	no	—
740	C₂×D₄	—	2	4	no	—
741	C₂×D₄	—	2	2	no	—
742	C₂×D₄	—	2	4	no	—
743	C₂×D₄	—	2	2	no	—
744	C₂×D₄	—	2	4	no	—
745	C₂×D₄	—	2	4	no	—
746	C₂×D₄	—	2	2	no	—
747	C₂×D₄	—	4	2	no	—
748	C₂×D₄	—	4	2	no	—
749	C₂×D₄	—	4	2	no	—
750	C₂×D₄	—	4	2	no	—
751	C₂×D₄	—	4	2	no	—
752	C₂×D₄	—	4	2	no	—
753	C₂×D₄	—	4	2	no	—
754	C₂×D₄	—	4	2	no	—
755	C₂×D₄	—	4	2	no	—
756	C₂×D₄	—	4	16	no	—
757	C₂²×C₄	—	2	2	no	—
758	C₂²×C₄	—	2	2	no	—
759	C₂²×C₄	—	2	4	no	—
760	C₂²×C₄	—	2	4	no	—
761	C₂²×C₄	—	2	2	no	—
762	C₂²×C₄	—	2	4	no	—
763	C₂²×C₄	—	2	4	no	—
764	C₂²×C₄	—	2	4	no	—
765	C₂²×C₄	—	4	2	no	—
766	C₂²×C₄	—	4	2	no	—
767	C₂²×C₄	—	4	2	no	—
768	C₂²×C₄	—	4	2	no	—
769	C₂²×C₄	—	4	2	no	—
770	C₂²×C₄	—	4	2	no	—
771	C₂²×C₄	—	4	2	no	—
772	C₂²×C₄	—	4	2	no	—
773	C₂²×C₄	—	4	2	no	—
774	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
775	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
776	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
777	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
778	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
779	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
780	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
781	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
782	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
783	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
784	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
785	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
786	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
787	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
788	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
789	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
790	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
791	C₄⋊C₄	—	2	4	no	—
792	C₄⋊C₄	—	2	4	no	—
793	C₄⋊C₄	—	2	4	no	—
794	C₄⋊C₄	—	2	4	no	—
795	C₄⋊C₄	—	2	4	no	—
796	C₄⋊C₄	—	2	4	no	—
797	C₄⋊C₄	—	2	2	no	—
798	C₄⋊C₄	—	2	2	no	—
799	C₄⋊C₄	—	2	2	no	—
800	C₄⋊C₄	—	2	2	no	—
801	C₄⋊C₄	—	2	4	no	—
802	C₄⋊C₄	—	2	2	no	—
803	C₄⋊C₄	—	4	2	no	—
804	C₄⋊C₄	—	4	2	no	—
805	C₄⋊C₄	—	4	2	no	—
806	C₄⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	complemented
807	C₂²⋊C₄	—	2	4	no	—
808	C₂²⋊C₄	—	2	2	no	—
809	C₂²⋊C₄	—	2	4	no	—
810	C₂²⋊C₄	—	2	4	no	—
811	C₂²⋊C₄	—	2	4	no	—
812	C₂²⋊C₄	—	2	4	no	—
813	C₂²⋊C₄	—	2	4	no	—
814	C₂²⋊C₄	—	2	4	no	—
815	C₂²⋊C₄	—	2	4	no	—
816	C₂²⋊C₄	—	2	4	no	—
817	C₂²⋊C₄	—	2	4	no	—
818	C₂²⋊C₄	—	2	4	no	—
819	C₂²⋊C₄	—	2	4	no	—
820	C₂²⋊C₄	—	2	4	no	—
821	C₂²⋊C₄	—	2	4	no	—
822	C₂²⋊C₄	—	2	4	no	—
823	C₂²⋊C₄	—	2	4	no	—
824	C₂²⋊C₄	—	2	4	no	—
825	C₂²⋊C₄	—	2	4	no	—
826	C₂²⋊C₄	—	4	2	no	—
827	C₂²⋊C₄	—	4	2	no	—
828	C₂²⋊C₄	—	4	2	no	—
829	C₂²⋊C₄	—	4	2	no	—
830	C₂²⋊C₄	—	4	2	no	—
831	C₂²⋊C₄	—	4	2	no	—
832	C₂²⋊C₄	—	4	2	no	—
833	C₂²⋊C₄	—	4	2	no	—
834	C₂²⋊C₄	—	4	2	no	—
835	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
836	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
837	C₂²⋊C₄	#41×C₁₃₉	1	4	yes	—
838	C₄²	—	2	4	no	—
839	C₄²	—	2	4	no	—
840	C₄²	—	4	2	no	—
841	C₄²	—	4	2	no	—
842	C₄²	—	4	2	no	—
843	C₄²	—	4	2	no	—
844	C₄²	C₂×D₄×C₁₃₉	1	8	yes	complemented
845	C₂³	—	2	2	no	—
846	C₂³	—	2	2	no	—
847	C₂³	—	2	2	no	—
848	C₂³	—	2	2	no	—
849	C₂³	—	2	2	no	—
850	C₂³	—	2	2	no	—
851	C₂³	—	2	2	no	—
852	C₂³	—	2	2	no	—
853	C₂³	—	2	2	no	—
854	C₂³	—	2	2	no	—
855	C₂³	—	2	2	no	—
856	C₂³	—	2	2	no	—
857	C₂³	—	2	2	no	—
858	C₂³	—	2	2	no	—
859	C₂³	—	2	2	no	—
860	C₂³	—	2	2	no	—
861	C₂³	—	2	2	no	—
862	C₂³	—	2	2	no	—
863	C₂³	—	2	2	no	—
864	C₂³	—	2	2	no	—
865	C₂³	—	2	2	no	—
866	C₂³	—	2	2	no	—
867	C₂³	—	4	8	no	—
868	C₂³	—	4	8	no	—
869	C₂³	—	4	8	no	—
870	C₂³	—	4	8	no	—
871	C₂³	—	8	4	no	—
872	C₂³	—	8	4	no	—
873	C₂³	—	8	4	no	—
874	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
875	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
876	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
877	C₂³	H(5,𝔽₂)×C₁₃₉	1	4	yes	—
878	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
879	Q₈	—	8	4	no	—
880	D₄	—	2	8	no	—
881	D₄	—	4	8	no	—
882	D₄	—	4	8	no	—
883	D₄	—	4	8	no	—
884	D₄	—	4	4	no	—
885	D₄	—	4	8	no	—
886	D₄	—	8	4	no	—
887	D₄	—	8	2	no	—
888	D₄	—	8	4	no	—
889	C₂×C₄	—	2	8	no	—
890	C₂×C₄	—	2	1	no	—
891	C₂×C₄	—	2	1	no	—
892	C₂×C₄	—	2	1	no	—
893	C₂×C₄	—	2	1	no	—
894	C₂×C₄	—	2	2	no	—
895	C₂×C₄	—	2	2	no	—
896	C₂×C₄	—	2	2	no	—
897	C₂×C₄	—	2	2	no	—
898	C₂×C₄	—	2	2	no	—
899	C₂×C₄	—	2	2	no	—
900	C₂×C₄	—	2	2	no	—
901	C₂×C₄	—	2	2	no	—
902	C₂×C₄	—	2	2	no	—
903	C₂×C₄	—	2	2	no	—
904	C₂×C₄	—	2	2	no	—
905	C₂×C₄	—	2	2	no	—
906	C₂×C₄	—	2	2	no	—
907	C₂×C₄	—	2	2	no	—
908	C₂×C₄	—	2	2	no	—
909	C₂×C₄	—	2	2	no	—
910	C₂×C₄	—	2	1	no	—
911	C₂×C₄	—	2	1	no	—
912	C₂×C₄	—	2	2	no	—
913	C₂×C₄	—	2	2	no	—
914	C₂×C₄	—	2	2	no	—
915	C₂×C₄	—	2	2	no	—
916	C₂×C₄	—	2	2	no	—
917	C₂×C₄	—	2	2	no	—
918	C₂×C₄	—	2	2	no	—
919	C₂×C₄	—	2	2	no	—
920	C₂×C₄	—	2	2	no	—
921	C₂×C₄	—	2	2	no	—
922	C₂×C₄	—	2	2	no	—
923	C₂×C₄	—	2	2	no	—
924	C₂×C₄	—	4	4	no	—
925	C₂×C₄	—	4	8	no	—
926	C₂×C₄	—	8	4	no	—
927	C₂×C₄	—	8	4	no	—
928	C₂×C₄	—	8	4	no	—
929	C₂×C₄	—	8	2	no	—
930	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
931	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
932	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
933	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
934	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
935	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
936	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
937	C₂²	—	2	4	no	—
938	C₂²	—	2	2	no	—
939	C₂²	—	2	2	no	—
940	C₂²	—	2	4	no	—
941	C₂²	—	2	4	no	—
942	C₂²	—	2	4	no	—
943	C₂²	—	2	4	no	—
944	C₂²	—	4	2	no	—
945	C₂²	—	4	2	no	—
946	C₂²	—	4	2	no	—
947	C₂²	—	4	2	no	—
948	C₂²	—	4	2	no	—
949	C₂²	—	4	2	no	—
950	C₂²	—	4	2	no	—
951	C₂²	—	4	2	no	—
952	C₂²	—	4	2	no	—
953	C₂²	—	4	2	no	—
954	C₂²	—	4	2	no	—
955	C₂²	—	4	2	no	—
956	C₂²	—	4	2	no	—
957	C₂²	—	4	2	no	—
958	C₂²	—	4	2	no	—
959	C₂²	—	4	2	no	—
960	C₂²	—	4	2	no	—
961	C₂²	—	4	2	no	—
962	C₂²	—	8	16	no	—
963	C₂²	#532×C₁₃₉	1	4	yes	—
964	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
965	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
966	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
967	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	2	yes	—
968	C₂²	#585×C₁₃₉	1	2	yes	—
969	C₄	—	2	2	no	—
970	C₄	—	2	2	no	—
971	C₄	—	2	4	no	—
972	C₄	—	2	4	no	—
973	C₄	—	2	2	no	—
974	C₄	—	2	2	no	—
975	C₄	—	2	4	no	—
976	C₄	—	4	2	no	—
977	C₄	—	4	2	no	—
978	C₄	—	4	2	no	—
979	C₄	—	4	2	no	—
980	C₄	—	4	2	no	—
981	C₄	—	4	1	no	—
982	C₄	—	4	1	no	—
983	C₄	—	4	2	no	—
984	C₂	—	2	4	no	—
985	C₂	—	4	4	no	—
986	C₂	—	8	2	no	—
987	C₂	—	8	2	no	—
988	C₂	C₂×#532×C₁₃₉	1	1	yes	characteristic
989	C₂	#3488×C₁₃₉	1	2	yes	—
990	C₂	#3490×C₁₃₉	1	1	yes	characteristic
991	C₂	#3510×C₁₃₉	1	1	yes	characteristic
992	C₂	#3513×C₁₃₉	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	#2433×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×#551×C₁₃₉	C₂	semidirect
2. #2662×C₁₃₉	C₂	semidirect
3. #2618×C₁₃₉	C₂	semidirect
4. #2601×C₁₃₉	C₂	semidirect
5. #2560×C₁₃₉	C₂	semidirect
6. #2554×C₁₃₉	C₂	semidirect
7. #2549×C₁₃₉	C₂	semidirect
8. #2544×C₁₃₉	C₂	semidirect
9. #2472×C₁₃₉	C₂	semidirect
10. #2461×C₁₃₉	C₂	semidirect
11. #2445×C₁₃₉	C₂	semidirect
13. #2411×C₁₃₉	C₂	semidirect
14. #2392×C₁₃₉	C₂	semidirect
15. C₂×#394×C₁₃₉	C₂	semidirect
16. #2364×C₁₃₉	C₂	semidirect
17. #2358×C₁₃₉	C₂	semidirect
18. D₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
19. #2274×C₁₃₉	C₂	semidirect
23. C₂×#126×C₁₃₉	C₂²	semidirect
24. C₂×#126×C₁₃₉	C₂²	semidirect
25. C₂×#124×C₁₃₉	C₂²	semidirect
26. C₂×#124×C₁₃₉	C₂²	semidirect
28. C₂×#123×C₁₃₉	C₂²	semidirect
29. C₂×#123×C₁₃₉	C₂²	semidirect
31. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
37. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
38. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
41. C₂×#117×C₁₃₉	C₂²	semidirect
46. #398×C₁₃₉	C₂²	semidirect
47. #398×C₁₃₉	C₂²	semidirect
48. #398×C₁₃₉	C₂²	semidirect
49. #397×C₁₃₉	C₂²	semidirect
50. #396×C₁₃₉	C₂²	semidirect
51. #396×C₁₃₉	C₂²	semidirect
52. #396×C₁₃₉	C₂²	semidirect
53. #396×C₁₃₉	C₂²	semidirect
54. #395×C₁₃₉	C₂²	semidirect
61. #394×C₁₃₉	C₂²	semidirect
62. #394×C₁₃₉	C₂²	semidirect
63. #394×C₁₃₉	C₂²	semidirect
64. #394×C₁₃₉	C₂²	semidirect
65. #394×C₁₃₉	C₂²	semidirect
66. #394×C₁₃₉	C₂²	semidirect
67. #393×C₁₃₉	C₂²	semidirect
70. #391×C₁₃₉	C₂²	semidirect
73. #390×C₁₃₉	C₂²	semidirect
74. #390×C₁₃₉	C₂²	semidirect
75. #390×C₁₃₉	C₂²	semidirect
76. #390×C₁₃₉	C₂²	semidirect
77. #389×C₁₃₉	C₂²	semidirect
78. #388×C₁₃₉	C₂²	semidirect
79. #388×C₁₃₉	C₂²	semidirect
80. #388×C₁₃₉	C₂²	semidirect
81. #388×C₁₃₉	C₂²	semidirect
82. #388×C₁₃₉	C₂²	semidirect
83. #388×C₁₃₉	C₂²	semidirect
84. #388×C₁₃₉	C₂²	semidirect
85. #387×C₁₃₉	C₂²	semidirect
90. #386×C₁₃₉	C₂²	semidirect
91. #386×C₁₃₉	C₂²	semidirect
92. #386×C₁₃₉	C₂²	semidirect
94. #385×C₁₃₉	C₂²	semidirect
97. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
98. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
99. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
100. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
105. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
106. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
147. #117×C₁₃₉	D₄	semidirect
309. C₄⋊C₄×C₁₃₉	C₂×D₄	semidirect
347. C₄²×C₁₃₉	C₂×D₄	semidirect
496. #35732	C₁₃₉	direct (N × H)
497. C₁₃₉	#35732	direct (N × H)
498. C₂×#551	C₂×C₁₃₉	semidirect
499. #2662	C₂×C₁₃₉	semidirect
500. #2618	C₂×C₁₃₉	semidirect
501. #2601	C₂×C₁₃₉	semidirect
502. #2560	C₂×C₁₃₉	semidirect
503. #2554	C₂×C₁₃₉	semidirect
504. #2549	C₂×C₁₃₉	semidirect
505. #2544	C₂×C₁₃₉	semidirect
506. #2472	C₂×C₁₃₉	semidirect
507. #2461	C₂×C₁₃₉	semidirect
508. #2445	C₂×C₁₃₉	semidirect
510. #2411	C₂×C₁₃₉	semidirect
511. #2392	C₂×C₁₃₉	semidirect
512. C₂×#394	C₂×C₁₃₉	semidirect
513. #2364	C₂×C₁₃₉	semidirect
514. #2358	C₂×C₁₃₉	semidirect
515. D₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
516. #2274	C₂×C₁₃₉	semidirect
520. C₂×#126	C₂²×C₁₃₉	semidirect
521. C₂×#126	C₂²×C₁₃₉	semidirect
522. C₂×#124	C₂²×C₁₃₉	semidirect
523. C₂×#124	C₂²×C₁₃₉	semidirect
525. C₂×#123	C₂²×C₁₃₉	semidirect
526. C₂×#123	C₂²×C₁₃₉	semidirect
528. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
534. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
535. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
538. C₂×#117	C₂²×C₁₃₉	semidirect
543. #398	C₂²×C₁₃₉	semidirect
544. #398	C₂²×C₁₃₉	semidirect
545. #398	C₂²×C₁₃₉	semidirect
546. #397	C₂²×C₁₃₉	semidirect
547. #396	C₂²×C₁₃₉	semidirect
548. #396	C₂²×C₁₃₉	semidirect
549. #396	C₂²×C₁₃₉	semidirect
550. #396	C₂²×C₁₃₉	semidirect
551. #395	C₂²×C₁₃₉	semidirect
558. #394	C₂²×C₁₃₉	semidirect
559. #394	C₂²×C₁₃₉	semidirect
560. #394	C₂²×C₁₃₉	semidirect
561. #394	C₂²×C₁₃₉	semidirect
562. #394	C₂²×C₁₃₉	semidirect
563. #394	C₂²×C₁₃₉	semidirect
564. #393	C₂²×C₁₃₉	semidirect
567. #391	C₂²×C₁₃₉	semidirect
570. #390	C₂²×C₁₃₉	semidirect
571. #390	C₂²×C₁₃₉	semidirect
572. #390	C₂²×C₁₃₉	semidirect
573. #390	C₂²×C₁₃₉	semidirect
574. #389	C₂²×C₁₃₉	semidirect
575. #388	C₂²×C₁₃₉	semidirect
576. #388	C₂²×C₁₃₉	semidirect
577. #388	C₂²×C₁₃₉	semidirect
578. #388	C₂²×C₁₃₉	semidirect
579. #388	C₂²×C₁₃₉	semidirect
580. #388	C₂²×C₁₃₉	semidirect
581. #388	C₂²×C₁₃₉	semidirect
582. #387	C₂²×C₁₃₉	semidirect
587. #386	C₂²×C₁₃₉	semidirect
588. #386	C₂²×C₁₃₉	semidirect
589. #386	C₂²×C₁₃₉	semidirect
591. #385	C₂²×C₁₃₉	semidirect
594. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
595. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
596. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
597. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
602. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
603. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
644. #117	D₄×C₁₃₉	semidirect
806. C₄⋊C₄	C₂×D₄×C₁₃₉	semidirect
844. C₄²	C₂×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×#551×C₁₃₉	2
#2662×C₁₃₉	2
#2618×C₁₃₉	2
#2601×C₁₃₉	2
#2560×C₁₃₉	2
#2554×C₁₃₉	2
#2549×C₁₃₉	2
#2544×C₁₃₉	2
#2472×C₁₃₉	2
#2461×C₁₃₉	2
#2445×C₁₃₉	2
#2433×C₁₃₉	2
#2411×C₁₃₉	2
#2392×C₁₃₉	2
C₂×#394×C₁₃₉	2
#2364×C₁₃₉	2
#2358×C₁₃₉	2
D₄×C₂²⋊C₄×C₁₃₉	2
#2274×C₁₃₉	2
#35732	139

Subgroups — C139×#35732 #48030328

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#35732 #48030328