Subgroups — C₁₃₉×#36158 #48030754

Order 35584.

4084 conjugacy classes of subgroups.

The subgroup lattice has 1266 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	1	yes	maximal, characteristic, complemented
2	C₂³×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2849×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2848×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2846×C₁₃₉	C₂	1	1	yes	maximal, characteristic
6	#2561×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2534×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2483×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2482×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2480×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2480×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2472×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2437×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2418×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2412×C₁₃₉	C₂	1	2	yes	maximal, complemented
16	#2412×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2411×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2358×C₁₃₉	C₂	1	2	yes	maximal, complemented
19	#2342×C₁₃₉	C₂	1	2	yes	maximal, complemented
20	#2342×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#120×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	#2280×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#379×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂⁶×C₁₃₉	C₂²	1	1	yes	characteristic
25	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
27	#551×C₁₃₉	—	2	8	no	—
28	C₂×#126×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
29	C₂×#126×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
30	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
31	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
32	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
33	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
34	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	complemented
38	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
40	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
41	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
42	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
43	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
46	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
47	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
48	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
49	C₂²×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
50	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
51	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
52	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
53	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
54	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
55	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
56	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
57	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
58	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
59	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
60	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
61	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
62	#399×C₁₃₉	C₂²	1	2	yes	complemented
63	#397×C₁₃₉	C₂²	1	2	yes	complemented
64	#397×C₁₃₉	C₂²	1	2	yes	complemented
65	#397×C₁₃₉	C₂²	1	2	yes	complemented
66	#397×C₁₃₉	C₂²	1	2	yes	complemented
67	#397×C₁₃₉	C₂²	1	2	yes	complemented
68	#396×C₁₃₉	C₂²	1	2	yes	complemented
69	#396×C₁₃₉	C₂²	1	2	yes	complemented
70	#394×C₁₃₉	C₂²	1	2	yes	complemented
71	#394×C₁₃₉	C₂²	1	2	yes	complemented
72	#394×C₁₃₉	C₂²	1	2	yes	complemented
73	#393×C₁₃₉	C₂²	1	2	yes	complemented
74	#390×C₁₃₉	C₂²	1	2	yes	complemented
75	#388×C₁₃₉	C₂²	1	2	yes	complemented
76	#388×C₁₃₉	C₂²	1	2	yes	complemented
77	#388×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	#386×C₁₃₉	C₂²	1	2	yes	complemented
84	#386×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
85	#386×C₁₃₉	C₂²	1	2	yes	complemented
86	#386×C₁₃₉	C₂²	1	2	yes	complemented
87	#386×C₁₃₉	C₂²	1	2	yes	complemented
88	#386×C₁₃₉	C₂²	1	2	yes	complemented
89	#385×C₁₃₉	C₂²	1	2	yes	complemented
90	#385×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
91	#385×C₁₃₉	C₂²	1	2	yes	complemented
92	#385×C₁₃₉	C₂²	1	2	yes	complemented
93	#385×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
94	#385×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
95	#385×C₁₃₉	C₂²	1	2	yes	complemented
96	#385×C₁₃₉	C₂²	1	2	yes	complemented
97	#385×C₁₃₉	C₂²	1	2	yes	complemented
98	#385×C₁₃₉	C₂²	1	2	yes	complemented
99	#381×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
100	#381×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
101	#381×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
102	#381×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
103	#381×C₁₃₉	C₂²	1	2	yes	complemented
104	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
105	#380×C₁₃₉	C₂²	1	2	yes	complemented
106	#380×C₁₃₉	C₂²	1	2	yes	complemented
107	#380×C₁₃₉	C₂²	1	2	yes	complemented
108	#380×C₁₃₉	C₂²	1	2	yes	complemented
109	#379×C₁₃₉	C₂²	1	1	yes	characteristic
110	#379×C₁₃₉	C₂²	1	1	yes	characteristic
111	#379×C₁₃₉	C₂²	1	1	yes	characteristic
112	#379×C₁₃₉	C₂²	1	1	yes	characteristic
113	#379×C₁₃₉	C₂²	1	2	yes	—
114	#379×C₁₃₉	C₂²	1	2	yes	—
115	#379×C₁₃₉	C₂²	1	1	yes	characteristic
116	#379×C₁₃₉	C₂²	1	1	yes	characteristic
117	#379×C₁₃₉	C₂²	1	2	yes	—
118	#379×C₁₃₉	C₂²	1	1	yes	characteristic
119	#379×C₁₃₉	C₂²	1	2	yes	—
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
121	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
122	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
123	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
124	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
125	C₂⁵×C₁₃₉	—	2	4	no	—
126	C₂⁵×C₁₃₉	—	2	8	no	—
127	C₂⁵×C₁₃₉	—	2	4	no	—
128	C₂⁵×C₁₃₉	—	4	4	no	—
129	C₂⁵×C₁₃₉	—	4	2	no	—
130	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
131	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
132	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
133	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
134	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
135	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
136	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
137	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
139	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
140	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
141	C₂³×C₄×C₁₃₉	—	2	4	no	—
142	C₂³×C₄×C₁₃₉	—	2	4	no	—
143	C₂³×C₄×C₁₃₉	—	2	4	no	—
144	C₂³×C₄×C₁₃₉	—	4	2	no	—
145	C₂³×C₄×C₁₃₉	—	4	4	no	—
146	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
149	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
150	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
151	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
152	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
155	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
156	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
157	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
158	#126×C₁₃₉	—	2	4	no	—
159	#126×C₁₃₉	—	2	4	no	—
160	#124×C₁₃₉	—	2	4	no	—
161	#123×C₁₃₉	—	2	4	no	—
162	#123×C₁₃₉	—	2	4	no	—
163	#123×C₁₃₉	—	2	4	no	—
164	#123×C₁₃₉	—	4	2	no	—
165	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
166	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
167	C₂²⋊Q₈×C₁₃₉	—	4	4	no	—
168	#120×C₁₃₉	—	2	4	no	—
169	#120×C₁₃₉	—	2	4	no	—
170	#120×C₁₃₉	—	2	8	no	—
171	#120×C₁₃₉	—	4	2	no	—
172	#120×C₁₃₉	—	4	4	no	—
173	C₄×D₄×C₁₃₉	—	2	4	no	—
174	C₄×D₄×C₁₃₉	—	2	4	no	—
175	C₄×D₄×C₁₃₉	—	4	4	no	—
176	#117×C₁₃₉	—	2	4	no	—
177	#117×C₁₃₉	—	2	4	no	—
178	#117×C₁₃₉	—	4	2	no	—
179	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
180	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
181	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
182	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
183	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
184	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
185	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
186	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
187	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
188	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
189	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
190	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
191	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
192	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
193	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
194	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
195	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
196	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
197	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
198	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
199	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
200	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
201	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
202	C₂×C₂²⋊C₄×C₁₃₉	—	4	2	no	—
203	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
204	C₂×C₂²⋊C₄×C₁₃₉	D₄	1	8	yes	complemented
205	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
206	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
207	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
208	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
212	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
213	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
214	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
215	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
216	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
217	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
220	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
222	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
224	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
225	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
229	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
230	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
232	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
233	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
234	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
235	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
236	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
237	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
238	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
239	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
244	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
245	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
246	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
247	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
248	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
249	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
250	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
251	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	complemented
252	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	complemented
253	#95×C₁₃₉	C₂³	1	2	yes	complemented
254	#95×C₁₃₉	C₂³	1	2	yes	complemented
255	#95×C₁₃₉	C₂³	1	2	yes	complemented
256	#95×C₁₃₉	C₂³	1	2	yes	complemented
257	#95×C₁₃₉	C₂³	1	2	yes	complemented
258	#95×C₁₃₉	C₂³	1	2	yes	complemented
259	#95×C₁₃₉	C₂³	1	2	yes	complemented
260	#95×C₁₃₉	C₂³	1	2	yes	complemented
261	#95×C₁₃₉	C₂³	1	2	yes	complemented
262	#95×C₁₃₉	C₂³	1	2	yes	complemented
263	#95×C₁₃₉	C₂³	1	2	yes	complemented
264	#95×C₁₃₉	C₂³	1	2	yes	complemented
265	#95×C₁₃₉	C₂³	1	2	yes	complemented
266	#95×C₁₃₉	C₂³	1	2	yes	complemented
267	C₂⁴×C₁₃₉	—	2	2	no	—
268	C₂⁴×C₁₃₉	—	2	4	no	—
269	C₂⁴×C₁₃₉	—	2	4	no	—
270	C₂⁴×C₁₃₉	—	2	2	no	—
271	C₂⁴×C₁₃₉	—	2	32	no	—
272	C₂⁴×C₁₃₉	—	2	4	no	—
273	C₂⁴×C₁₃₉	—	2	4	no	—
274	C₂⁴×C₁₃₉	—	2	2	no	—
275	C₂⁴×C₁₃₉	—	2	4	no	—
276	C₂⁴×C₁₃₉	—	2	4	no	—
277	C₂⁴×C₁₃₉	—	2	4	no	—
278	C₂⁴×C₁₃₉	—	2	4	no	—
279	C₂⁴×C₁₃₉	—	2	2	no	—
280	C₂⁴×C₁₃₉	—	2	4	no	—
281	C₂⁴×C₁₃₉	—	2	4	no	—
282	C₂⁴×C₁₃₉	—	2	2	no	—
283	C₂⁴×C₁₃₉	—	2	4	no	—
284	C₂⁴×C₁₃₉	—	2	2	no	—
285	C₂⁴×C₁₃₉	—	2	4	no	—
286	C₂⁴×C₁₃₉	—	2	2	no	—
287	C₂⁴×C₁₃₉	—	2	4	no	—
288	C₂⁴×C₁₃₉	—	4	2	no	—
289	C₂⁴×C₁₃₉	—	4	2	no	—
290	C₂⁴×C₁₃₉	—	4	2	no	—
291	C₂⁴×C₁₃₉	—	4	2	no	—
292	C₂⁴×C₁₃₉	—	4	2	no	—
293	C₂⁴×C₁₃₉	—	4	2	no	—
294	C₂⁴×C₁₃₉	—	4	16	no	—
295	C₂⁴×C₁₃₉	—	4	32	no	—
296	C₂⁴×C₁₃₉	—	4	16	no	—
297	C₂⁴×C₁₃₉	—	4	32	no	—
298	C₂⁴×C₁₃₉	C₂×D₄	1	4	yes	—
299	C₂⁴×C₁₃₉	#41	1	4	yes	—
300	C₂⁴×C₁₃₉	#41	1	8	yes	—
301	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
302	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
303	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
304	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
305	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
306	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
307	C₂×Q₈×C₁₃₉	—	2	2	no	—
308	C₂×Q₈×C₁₃₉	—	4	2	no	—
309	C₂×D₄×C₁₃₉	—	2	2	no	—
310	C₂×D₄×C₁₃₉	—	2	2	no	—
311	C₂×D₄×C₁₃₉	—	2	4	no	—
312	C₂×D₄×C₁₃₉	—	2	2	no	—
313	C₂×D₄×C₁₃₉	—	2	4	no	—
314	C₂×D₄×C₁₃₉	—	2	4	no	—
315	C₂×D₄×C₁₃₉	—	2	4	no	—
316	C₂×D₄×C₁₃₉	—	2	2	no	—
317	C₂×D₄×C₁₃₉	—	2	2	no	—
318	C₂×D₄×C₁₃₉	—	2	4	no	—
319	C₂×D₄×C₁₃₉	—	4	2	no	—
320	C₂×D₄×C₁₃₉	—	4	2	no	—
321	C₂×D₄×C₁₃₉	—	4	2	no	—
322	C₂²×C₄×C₁₃₉	—	2	2	no	—
323	C₂²×C₄×C₁₃₉	—	2	2	no	—
324	C₂²×C₄×C₁₃₉	—	2	2	no	—
325	C₂²×C₄×C₁₃₉	—	2	2	no	—
326	C₂²×C₄×C₁₃₉	—	2	2	no	—
327	C₂²×C₄×C₁₃₉	—	2	4	no	—
328	C₂²×C₄×C₁₃₉	—	2	4	no	—
329	C₂²×C₄×C₁₃₉	—	2	4	no	—
330	C₂²×C₄×C₁₃₉	—	2	2	no	—
331	C₂²×C₄×C₁₃₉	—	2	4	no	—
332	C₂²×C₄×C₁₃₉	—	2	4	no	—
333	C₂²×C₄×C₁₃₉	—	2	2	no	—
334	C₂²×C₄×C₁₃₉	—	2	2	no	—
335	C₂²×C₄×C₁₃₉	—	2	4	no	—
336	C₂²×C₄×C₁₃₉	—	2	4	no	—
337	C₂²×C₄×C₁₃₉	—	2	4	no	—
338	C₂²×C₄×C₁₃₉	—	2	4	no	—
339	C₂²×C₄×C₁₃₉	—	2	4	no	—
340	C₂²×C₄×C₁₃₉	—	2	2	no	—
341	C₂²×C₄×C₁₃₉	—	4	2	no	—
342	C₂²×C₄×C₁₃₉	—	4	2	no	—
343	C₂²×C₄×C₁₃₉	—	4	2	no	—
344	C₂²×C₄×C₁₃₉	—	4	2	no	—
345	C₂²×C₄×C₁₃₉	—	4	2	no	—
346	C₂²×C₄×C₁₃₉	—	4	2	no	—
347	C₂²×C₄×C₁₃₉	—	4	2	no	—
348	C₂²×C₄×C₁₃₉	—	4	2	no	—
349	C₂²×C₄×C₁₃₉	—	4	2	no	—
350	C₂²×C₄×C₁₃₉	—	4	2	no	—
351	C₂²×C₄×C₁₃₉	—	4	16	no	—
352	C₂²×C₄×C₁₃₉	—	4	16	no	—
353	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
354	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
355	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
356	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
357	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
359	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
361	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
363	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
364	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
372	C₄⋊C₄×C₁₃₉	—	2	2	no	—
373	C₄⋊C₄×C₁₃₉	—	2	2	no	—
374	C₄⋊C₄×C₁₃₉	—	2	2	no	—
375	C₄⋊C₄×C₁₃₉	—	2	2	no	—
376	C₄⋊C₄×C₁₃₉	—	2	2	no	—
377	C₄⋊C₄×C₁₃₉	—	2	2	no	—
378	C₄⋊C₄×C₁₃₉	—	2	2	no	—
379	C₄⋊C₄×C₁₃₉	—	2	2	no	—
380	C₄⋊C₄×C₁₃₉	—	4	2	no	—
381	C₄⋊C₄×C₁₃₉	—	4	2	no	—
382	C₄⋊C₄×C₁₃₉	—	4	2	no	—
383	C₄⋊C₄×C₁₃₉	—	4	2	no	—
384	C₄⋊C₄×C₁₃₉	—	4	2	no	—
385	C₄⋊C₄×C₁₃₉	—	4	2	no	—
386	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
387	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
388	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
389	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
390	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
391	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
392	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
393	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
394	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
395	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
396	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
397	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
398	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
399	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
400	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
401	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
402	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
403	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
404	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
405	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
406	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
407	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
408	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
409	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
410	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
411	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
412	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
413	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
414	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
415	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
416	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
417	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
418	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
419	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
420	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
421	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
422	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
423	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
424	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
425	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
426	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
427	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
428	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
429	C₄²×C₁₃₉	—	2	2	no	—
430	C₄²×C₁₃₉	—	2	2	no	—
431	C₄²×C₁₃₉	—	2	2	no	—
432	C₄²×C₁₃₉	—	4	2	no	—
433	C₄²×C₁₃₉	—	4	2	no	—
434	C₂³×C₁₃₉	—	2	8	no	—
435	C₂³×C₁₃₉	—	2	8	no	—
436	C₂³×C₁₃₉	—	2	16	no	—
437	C₂³×C₁₃₉	—	2	8	no	—
438	C₂³×C₁₃₉	—	2	16	no	—
439	C₂³×C₁₃₉	—	2	2	no	—
440	C₂³×C₁₃₉	—	2	2	no	—
441	C₂³×C₁₃₉	—	2	2	no	—
442	C₂³×C₁₃₉	—	2	1	no	—
443	C₂³×C₁₃₉	—	2	2	no	—
444	C₂³×C₁₃₉	—	2	1	no	—
445	C₂³×C₁₃₉	—	2	2	no	—
446	C₂³×C₁₃₉	—	2	2	no	—
447	C₂³×C₁₃₉	—	2	2	no	—
448	C₂³×C₁₃₉	—	2	8	no	—
449	C₂³×C₁₃₉	—	2	16	no	—
450	C₂³×C₁₃₉	—	2	8	no	—
451	C₂³×C₁₃₉	—	2	16	no	—
452	C₂³×C₁₃₉	—	2	8	no	—
453	C₂³×C₁₃₉	—	2	16	no	—
454	C₂³×C₁₃₉	—	2	2	no	—
455	C₂³×C₁₃₉	—	2	2	no	—
456	C₂³×C₁₃₉	—	2	2	no	—
457	C₂³×C₁₃₉	—	2	1	no	—
458	C₂³×C₁₃₉	—	2	2	no	—
459	C₂³×C₁₃₉	—	2	1	no	—
460	C₂³×C₁₃₉	—	2	2	no	—
461	C₂³×C₁₃₉	—	2	2	no	—
462	C₂³×C₁₃₉	—	2	2	no	—
463	C₂³×C₁₃₉	—	2	2	no	—
464	C₂³×C₁₃₉	—	2	1	no	—
465	C₂³×C₁₃₉	—	2	2	no	—
466	C₂³×C₁₃₉	—	2	1	no	—
467	C₂³×C₁₃₉	—	2	1	no	—
468	C₂³×C₁₃₉	—	2	2	no	—
469	C₂³×C₁₃₉	—	4	4	no	—
470	C₂³×C₁₃₉	—	4	8	no	—
471	C₂³×C₁₃₉	—	4	8	no	—
472	C₂³×C₁₃₉	—	4	8	no	—
473	C₂³×C₁₃₉	—	4	8	no	—
474	C₂³×C₁₃₉	—	4	8	no	—
475	C₂³×C₁₃₉	—	4	8	no	—
476	C₂³×C₁₃₉	—	4	8	no	—
477	C₂³×C₁₃₉	—	4	8	no	—
478	C₂³×C₁₃₉	—	4	8	no	—
479	C₂³×C₁₃₉	—	4	8	no	—
480	C₂³×C₁₃₉	—	4	8	no	—
481	C₂³×C₁₃₉	—	4	8	no	—
482	C₂³×C₁₃₉	—	4	8	no	—
483	C₂³×C₁₃₉	—	4	128	no	—
484	C₂³×C₁₃₉	—	4	4	no	—
485	C₂³×C₁₃₉	—	4	8	no	—
486	C₂³×C₁₃₉	—	4	4	no	—
487	C₂³×C₁₃₉	—	4	8	no	—
488	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
489	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
490	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
491	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
492	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
493	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
494	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
495	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
496	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
497	C₂³×C₁₃₉	H(5,𝔽₂)	1	4	yes	—
498	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
499	Q₈×C₁₃₉	—	8	2	no	—
500	D₄×C₁₃₉	—	4	4	no	—
501	D₄×C₁₃₉	—	4	4	no	—
502	D₄×C₁₃₉	—	4	8	no	—
503	D₄×C₁₃₉	—	8	2	no	—
504	D₄×C₁₃₉	—	8	4	no	—
505	C₂×C₄×C₁₃₉	—	2	8	no	—
506	C₂×C₄×C₁₃₉	—	2	1	no	—
507	C₂×C₄×C₁₃₉	—	2	1	no	—
508	C₂×C₄×C₁₃₉	—	2	1	no	—
509	C₂×C₄×C₁₃₉	—	2	2	no	—
510	C₂×C₄×C₁₃₉	—	2	1	no	—
511	C₂×C₄×C₁₃₉	—	2	2	no	—
512	C₂×C₄×C₁₃₉	—	2	1	no	—
513	C₂×C₄×C₁₃₉	—	2	1	no	—
514	C₂×C₄×C₁₃₉	—	2	1	no	—
515	C₂×C₄×C₁₃₉	—	2	1	no	—
516	C₂×C₄×C₁₃₉	—	2	1	no	—
517	C₂×C₄×C₁₃₉	—	2	2	no	—
518	C₂×C₄×C₁₃₉	—	2	2	no	—
519	C₂×C₄×C₁₃₉	—	2	1	no	—
520	C₂×C₄×C₁₃₉	—	2	1	no	—
521	C₂×C₄×C₁₃₉	—	2	2	no	—
522	C₂×C₄×C₁₃₉	—	2	2	no	—
523	C₂×C₄×C₁₃₉	—	2	2	no	—
524	C₂×C₄×C₁₃₉	—	2	2	no	—
525	C₂×C₄×C₁₃₉	—	2	2	no	—
526	C₂×C₄×C₁₃₉	—	2	1	no	—
527	C₂×C₄×C₁₃₉	—	2	2	no	—
528	C₂×C₄×C₁₃₉	—	2	2	no	—
529	C₂×C₄×C₁₃₉	—	2	2	no	—
530	C₂×C₄×C₁₃₉	—	2	2	no	—
531	C₂×C₄×C₁₃₉	—	2	2	no	—
532	C₂×C₄×C₁₃₉	—	2	2	no	—
533	C₂×C₄×C₁₃₉	—	2	2	no	—
534	C₂×C₄×C₁₃₉	—	2	2	no	—
535	C₂×C₄×C₁₃₉	—	2	2	no	—
536	C₂×C₄×C₁₃₉	—	2	2	no	—
537	C₂×C₄×C₁₃₉	—	2	2	no	—
538	C₂×C₄×C₁₃₉	—	2	2	no	—
539	C₂×C₄×C₁₃₉	—	2	2	no	—
540	C₂×C₄×C₁₃₉	—	2	2	no	—
541	C₂×C₄×C₁₃₉	—	2	1	no	—
542	C₂×C₄×C₁₃₉	—	2	2	no	—
543	C₂×C₄×C₁₃₉	—	2	2	no	—
544	C₂×C₄×C₁₃₉	—	2	2	no	—
545	C₂×C₄×C₁₃₉	—	4	4	no	—
546	C₂×C₄×C₁₃₉	—	4	8	no	—
547	C₂×C₄×C₁₃₉	—	4	8	no	—
548	C₂×C₄×C₁₃₉	—	4	8	no	—
549	C₂×C₄×C₁₃₉	—	4	8	no	—
550	C₂×C₄×C₁₃₉	—	4	4	no	—
551	C₂×C₄×C₁₃₉	—	4	4	no	—
552	C₂×C₄×C₁₃₉	—	4	4	no	—
553	C₂×C₄×C₁₃₉	—	8	2	no	—
554	C₂×C₄×C₁₃₉	—	8	2	no	—
555	C₂×C₄×C₁₃₉	—	8	4	no	—
556	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
557	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
558	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
559	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
560	C₂²×C₁₃₉	—	2	32	no	—
561	C₂²×C₁₃₉	—	2	2	no	—
562	C₂²×C₁₃₉	—	2	4	no	—
563	C₂²×C₁₃₉	—	2	4	no	—
564	C₂²×C₁₃₉	—	2	2	no	—
565	C₂²×C₁₃₉	—	2	4	no	—
566	C₂²×C₁₃₉	—	2	4	no	—
567	C₂²×C₁₃₉	—	2	4	no	—
568	C₂²×C₁₃₉	—	2	2	no	—
569	C₂²×C₁₃₉	—	2	4	no	—
570	C₂²×C₁₃₉	—	2	2	no	—
571	C₂²×C₁₃₉	—	2	4	no	—
572	C₂²×C₁₃₉	—	2	4	no	—
573	C₂²×C₁₃₉	—	2	4	no	—
574	C₂²×C₁₃₉	—	2	4	no	—
575	C₂²×C₁₃₉	—	2	2	no	—
576	C₂²×C₁₃₉	—	2	4	no	—
577	C₂²×C₁₃₉	—	2	2	no	—
578	C₂²×C₁₃₉	—	2	4	no	—
579	C₂²×C₁₃₉	—	2	2	no	—
580	C₂²×C₁₃₉	—	2	4	no	—
581	C₂²×C₁₃₉	—	4	16	no	—
582	C₂²×C₁₃₉	—	4	32	no	—
583	C₂²×C₁₃₉	—	4	16	no	—
584	C₂²×C₁₃₉	—	4	32	no	—
585	C₂²×C₁₃₉	—	4	2	no	—
586	C₂²×C₁₃₉	—	4	2	no	—
587	C₂²×C₁₃₉	—	4	2	no	—
588	C₂²×C₁₃₉	—	4	2	no	—
589	C₂²×C₁₃₉	—	4	2	no	—
590	C₂²×C₁₃₉	—	4	2	no	—
591	C₂²×C₁₃₉	—	4	1	no	—
592	C₂²×C₁₃₉	—	4	1	no	—
593	C₂²×C₁₃₉	—	4	2	no	—
594	C₂²×C₁₃₉	—	4	1	no	—
595	C₂²×C₁₃₉	—	4	2	no	—
596	C₂²×C₁₃₉	#525	1	4	yes	—
597	C₂²×C₁₃₉	#546	1	4	yes	—
598	C₂²×C₁₃₉	#551	1	8	yes	complemented
599	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
600	C₂²×C₁₃₉	C₂²×#41	1	2	yes	—
601	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
602	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
603	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	2	yes	—
604	C₄×C₁₃₉	—	2	2	no	—
605	C₄×C₁₃₉	—	2	2	no	—
606	C₄×C₁₃₉	—	2	2	no	—
607	C₄×C₁₃₉	—	2	2	no	—
608	C₄×C₁₃₉	—	4	1	no	—
609	C₄×C₁₃₉	—	4	1	no	—
610	C₄×C₁₃₉	—	4	1	no	—
611	C₄×C₁₃₉	—	4	2	no	—
612	C₄×C₁₃₉	—	4	1	no	—
613	C₄×C₁₃₉	—	4	2	no	—
614	C₄×C₁₃₉	—	4	2	no	—
615	C₄×C₁₃₉	—	4	1	no	—
616	C₄×C₁₃₉	—	4	1	no	—
617	C₄×C₁₃₉	—	4	1	no	—
618	C₄×C₁₃₉	—	4	2	no	—
619	C₄×C₁₃₉	—	4	2	no	—
620	C₄×C₁₃₉	—	4	2	no	—
621	C₂×C₁₃₉	—	2	4	no	—
622	C₂×C₁₃₉	—	2	8	no	—
623	C₂×C₁₃₉	—	2	4	no	—
624	C₂×C₁₃₉	—	4	2	no	—
625	C₂×C₁₃₉	—	4	4	no	—
626	C₂×C₁₃₉	—	8	1	no	—
627	C₂×C₁₃₉	C₂×#525	1	1	yes	characteristic
628	C₂×C₁₃₉	C₂×#546	1	1	yes	characteristic
629	C₂×C₁₃₉	C₂×#551	1	2	yes	—
630	C₂×C₁₃₉	#3484	1	1	yes	characteristic
631	C₂×C₁₃₉	#3490	1	2	yes	—
632	#36158	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
633	C₁₃₉	#36158	1	1	yes	characteristic, direct product factor, Sylow
634	C₂×#551	C₂×C₁₃₉	1	1	yes	characteristic, complemented
635	C₂³×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
636	#2849	C₂×C₁₃₉	1	1	yes	characteristic, complemented
637	#2848	C₂×C₁₃₉	1	1	yes	characteristic, complemented
638	#2846	C₂×C₁₃₉	1	1	yes	characteristic
639	#2561	C₂×C₁₃₉	1	1	yes	characteristic, complemented
640	#2534	C₂×C₁₃₉	1	1	yes	characteristic, complemented
641	#2483	C₂×C₁₃₉	1	1	yes	characteristic, complemented
642	#2482	C₂×C₁₃₉	1	1	yes	characteristic, complemented
643	#2480	C₂×C₁₃₉	1	2	yes	complemented
644	#2480	C₂×C₁₃₉	1	2	yes	complemented
645	#2472	C₂×C₁₃₉	1	2	yes	complemented
646	#2437	C₂×C₁₃₉	1	2	yes	complemented
647	#2418	C₂×C₁₃₉	1	2	yes	complemented
648	#2412	C₂×C₁₃₉	1	2	yes	complemented
649	#2412	C₂×C₁₃₉	1	1	yes	characteristic, complemented
650	#2411	C₂×C₁₃₉	1	1	yes	characteristic, complemented
651	#2358	C₂×C₁₃₉	1	2	yes	complemented
652	#2342	C₂×C₁₃₉	1	2	yes	complemented
653	#2342	C₂×C₁₃₉	1	1	yes	characteristic, complemented
654	C₄×#120	C₂×C₁₃₉	1	1	yes	characteristic, complemented
655	#2280	C₂×C₁₃₉	1	1	yes	characteristic, complemented
656	C₂×#379	C₂×C₁₃₉	1	1	yes	characteristic, complemented
657	C₂⁶	C₂²×C₁₃₉	1	1	yes	characteristic
658	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
659	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
660	#551	—	2	8	no	—
661	C₂×#126	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
662	C₂×#126	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
663	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
664	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
665	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
666	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
667	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
668	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
669	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
670	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	complemented
671	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
672	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
673	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
674	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
675	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
676	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
677	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
678	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
679	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
680	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
681	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
682	C₂²×C₂²⋊C₄	—	2	8	no	—
683	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
684	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
685	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
686	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
687	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
688	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
689	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
690	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
691	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
692	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
693	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
694	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
695	#399	C₂²×C₁₃₉	1	2	yes	complemented
696	#397	C₂²×C₁₃₉	1	2	yes	complemented
697	#397	C₂²×C₁₃₉	1	2	yes	complemented
698	#397	C₂²×C₁₃₉	1	2	yes	complemented
699	#397	C₂²×C₁₃₉	1	2	yes	complemented
700	#397	C₂²×C₁₃₉	1	2	yes	complemented
701	#396	C₂²×C₁₃₉	1	2	yes	complemented
702	#396	C₂²×C₁₃₉	1	2	yes	complemented
703	#394	C₂²×C₁₃₉	1	2	yes	complemented
704	#394	C₂²×C₁₃₉	1	2	yes	complemented
705	#394	C₂²×C₁₃₉	1	2	yes	complemented
706	#393	C₂²×C₁₃₉	1	2	yes	complemented
707	#390	C₂²×C₁₃₉	1	2	yes	complemented
708	#388	C₂²×C₁₃₉	1	2	yes	complemented
709	#388	C₂²×C₁₃₉	1	2	yes	complemented
710	#388	C₂²×C₁₃₉	1	2	yes	complemented
711	#388	C₂²×C₁₃₉	1	2	yes	complemented
712	#388	C₂²×C₁₃₉	1	2	yes	complemented
713	#388	C₂²×C₁₃₉	1	2	yes	complemented
714	#388	C₂²×C₁₃₉	1	2	yes	complemented
715	#388	C₂²×C₁₃₉	1	2	yes	complemented
716	#386	C₂²×C₁₃₉	1	2	yes	complemented
717	#386	C₂²×C₁₃₉	1	2	yes	complemented
718	#386	C₂²×C₁₃₉	1	2	yes	complemented
719	#386	C₂²×C₁₃₉	1	2	yes	complemented
720	#386	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
721	#386	C₂²×C₁₃₉	1	2	yes	complemented
722	#385	C₂²×C₁₃₉	1	2	yes	complemented
723	#385	C₂²×C₁₃₉	1	2	yes	complemented
724	#385	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
725	#385	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
726	#385	C₂²×C₁₃₉	1	2	yes	complemented
727	#385	C₂²×C₁₃₉	1	2	yes	complemented
728	#385	C₂²×C₁₃₉	1	2	yes	complemented
729	#385	C₂²×C₁₃₉	1	2	yes	complemented
730	#385	C₂²×C₁₃₉	1	2	yes	complemented
731	#385	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
732	#381	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
733	#381	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
734	#381	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
735	#381	C₂²×C₁₃₉	1	2	yes	complemented
736	#381	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
737	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
738	#380	C₂²×C₁₃₉	1	2	yes	complemented
739	#380	C₂²×C₁₃₉	1	2	yes	complemented
740	#380	C₂²×C₁₃₉	1	2	yes	complemented
741	#380	C₂²×C₁₃₉	1	2	yes	complemented
742	#379	C₂²×C₁₃₉	1	1	yes	characteristic
743	#379	C₂²×C₁₃₉	1	1	yes	characteristic
744	#379	C₂²×C₁₃₉	1	1	yes	characteristic
745	#379	C₂²×C₁₃₉	1	2	yes	—
746	#379	C₂²×C₁₃₉	1	1	yes	characteristic
747	#379	C₂²×C₁₃₉	1	2	yes	—
748	#379	C₂²×C₁₃₉	1	1	yes	characteristic
749	#379	C₂²×C₁₃₉	1	2	yes	—
750	#379	C₂²×C₁₃₉	1	2	yes	—
751	#379	C₂²×C₁₃₉	1	1	yes	characteristic
752	#379	C₂²×C₁₃₉	1	1	yes	characteristic
753	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
754	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
755	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
756	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
757	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
758	C₂⁵	—	2	4	no	—
759	C₂⁵	—	2	8	no	—
760	C₂⁵	—	2	4	no	—
761	C₂⁵	—	4	4	no	—
762	C₂⁵	—	4	2	no	—
763	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
764	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
765	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
766	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
767	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
768	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
769	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
770	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
771	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
772	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
773	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
774	C₂³×C₄	—	2	4	no	—
775	C₂³×C₄	—	2	4	no	—
776	C₂³×C₄	—	2	4	no	—
777	C₂³×C₄	—	4	2	no	—
778	C₂³×C₄	—	4	4	no	—
779	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
780	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
781	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
782	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
783	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
784	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
785	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
786	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
787	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
788	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
789	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
790	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
791	#126	—	2	4	no	—
792	#126	—	2	4	no	—
793	#124	—	2	4	no	—
794	#123	—	2	4	no	—
795	#123	—	2	4	no	—
796	#123	—	2	4	no	—
797	#123	—	4	2	no	—
798	C₂²⋊Q₈	—	2	4	no	—
799	C₂²⋊Q₈	—	2	4	no	—
800	C₂²⋊Q₈	—	4	4	no	—
801	#120	—	2	4	no	—
802	#120	—	2	4	no	—
803	#120	—	2	8	no	—
804	#120	—	4	2	no	—
805	#120	—	4	4	no	—
806	C₄×D₄	—	2	4	no	—
807	C₄×D₄	—	2	4	no	—
808	C₄×D₄	—	4	4	no	—
809	#117	—	2	4	no	—
810	#117	—	2	4	no	—
811	#117	—	4	2	no	—
812	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
813	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
814	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
815	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
816	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
817	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
818	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
819	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
820	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
821	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
822	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
823	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
824	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
825	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
826	C₂×C₂²⋊C₄	—	2	4	no	—
827	C₂×C₂²⋊C₄	—	2	4	no	—
828	C₂×C₂²⋊C₄	—	2	8	no	—
829	C₂×C₂²⋊C₄	—	2	4	no	—
830	C₂×C₂²⋊C₄	—	2	4	no	—
831	C₂×C₂²⋊C₄	—	2	8	no	—
832	C₂×C₂²⋊C₄	—	2	8	no	—
833	C₂×C₂²⋊C₄	—	2	8	no	—
834	C₂×C₂²⋊C₄	—	2	8	no	—
835	C₂×C₂²⋊C₄	—	4	2	no	—
836	C₂×C₂²⋊C₄	—	4	4	no	—
837	C₂×C₂²⋊C₄	D₄×C₁₃₉	1	8	yes	complemented
838	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
839	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
840	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
841	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
842	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
843	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
844	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
845	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
846	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
847	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
848	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
849	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
850	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
851	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
852	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
853	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
854	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
855	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
856	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
857	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
858	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
859	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
860	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
861	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
862	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
863	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
864	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
865	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
866	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
867	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
868	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
869	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
870	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
871	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
872	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
873	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
874	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
875	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
876	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
877	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
878	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
879	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
880	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
881	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
882	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
883	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
884	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	complemented
885	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	complemented
886	#95	C₂³×C₁₃₉	1	2	yes	complemented
887	#95	C₂³×C₁₃₉	1	2	yes	complemented
888	#95	C₂³×C₁₃₉	1	2	yes	complemented
889	#95	C₂³×C₁₃₉	1	2	yes	complemented
890	#95	C₂³×C₁₃₉	1	2	yes	complemented
891	#95	C₂³×C₁₃₉	1	2	yes	complemented
892	#95	C₂³×C₁₃₉	1	2	yes	complemented
893	#95	C₂³×C₁₃₉	1	2	yes	complemented
894	#95	C₂³×C₁₃₉	1	2	yes	complemented
895	#95	C₂³×C₁₃₉	1	2	yes	complemented
896	#95	C₂³×C₁₃₉	1	2	yes	complemented
897	#95	C₂³×C₁₃₉	1	2	yes	complemented
898	#95	C₂³×C₁₃₉	1	2	yes	complemented
899	#95	C₂³×C₁₃₉	1	2	yes	complemented
900	C₂⁴	—	2	2	no	—
901	C₂⁴	—	2	4	no	—
902	C₂⁴	—	2	4	no	—
903	C₂⁴	—	2	2	no	—
904	C₂⁴	—	2	32	no	—
905	C₂⁴	—	2	4	no	—
906	C₂⁴	—	2	4	no	—
907	C₂⁴	—	2	2	no	—
908	C₂⁴	—	2	4	no	—
909	C₂⁴	—	2	4	no	—
910	C₂⁴	—	2	4	no	—
911	C₂⁴	—	2	4	no	—
912	C₂⁴	—	2	2	no	—
913	C₂⁴	—	2	4	no	—
914	C₂⁴	—	2	4	no	—
915	C₂⁴	—	2	2	no	—
916	C₂⁴	—	2	4	no	—
917	C₂⁴	—	2	2	no	—
918	C₂⁴	—	2	4	no	—
919	C₂⁴	—	2	2	no	—
920	C₂⁴	—	2	4	no	—
921	C₂⁴	—	4	2	no	—
922	C₂⁴	—	4	2	no	—
923	C₂⁴	—	4	2	no	—
924	C₂⁴	—	4	2	no	—
925	C₂⁴	—	4	2	no	—
926	C₂⁴	—	4	2	no	—
927	C₂⁴	—	4	16	no	—
928	C₂⁴	—	4	32	no	—
929	C₂⁴	—	4	16	no	—
930	C₂⁴	—	4	32	no	—
931	C₂⁴	C₂×D₄×C₁₃₉	1	4	yes	—
932	C₂⁴	#41×C₁₃₉	1	4	yes	—
933	C₂⁴	#41×C₁₃₉	1	8	yes	—
934	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
935	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
936	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
937	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
938	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
939	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
940	C₂×Q₈	—	2	2	no	—
941	C₂×Q₈	—	4	2	no	—
942	C₂×D₄	—	2	2	no	—
943	C₂×D₄	—	2	2	no	—
944	C₂×D₄	—	2	4	no	—
945	C₂×D₄	—	2	2	no	—
946	C₂×D₄	—	2	4	no	—
947	C₂×D₄	—	2	4	no	—
948	C₂×D₄	—	2	4	no	—
949	C₂×D₄	—	2	2	no	—
950	C₂×D₄	—	2	2	no	—
951	C₂×D₄	—	2	4	no	—
952	C₂×D₄	—	4	2	no	—
953	C₂×D₄	—	4	2	no	—
954	C₂×D₄	—	4	2	no	—
955	C₂²×C₄	—	2	2	no	—
956	C₂²×C₄	—	2	2	no	—
957	C₂²×C₄	—	2	2	no	—
958	C₂²×C₄	—	2	2	no	—
959	C₂²×C₄	—	2	2	no	—
960	C₂²×C₄	—	2	4	no	—
961	C₂²×C₄	—	2	4	no	—
962	C₂²×C₄	—	2	4	no	—
963	C₂²×C₄	—	2	2	no	—
964	C₂²×C₄	—	2	4	no	—
965	C₂²×C₄	—	2	4	no	—
966	C₂²×C₄	—	2	2	no	—
967	C₂²×C₄	—	2	2	no	—
968	C₂²×C₄	—	2	4	no	—
969	C₂²×C₄	—	2	4	no	—
970	C₂²×C₄	—	2	4	no	—
971	C₂²×C₄	—	2	4	no	—
972	C₂²×C₄	—	2	4	no	—
973	C₂²×C₄	—	2	2	no	—
974	C₂²×C₄	—	4	2	no	—
975	C₂²×C₄	—	4	2	no	—
976	C₂²×C₄	—	4	2	no	—
977	C₂²×C₄	—	4	2	no	—
978	C₂²×C₄	—	4	2	no	—
979	C₂²×C₄	—	4	2	no	—
980	C₂²×C₄	—	4	2	no	—
981	C₂²×C₄	—	4	2	no	—
982	C₂²×C₄	—	4	2	no	—
983	C₂²×C₄	—	4	2	no	—
984	C₂²×C₄	—	4	16	no	—
985	C₂²×C₄	—	4	16	no	—
986	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
987	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
988	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
989	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
990	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
991	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
992	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
993	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
994	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
995	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
996	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
997	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
998	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
999	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1000	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1001	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1002	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1003	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1004	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1005	C₄⋊C₄	—	2	2	no	—
1006	C₄⋊C₄	—	2	2	no	—
1007	C₄⋊C₄	—	2	2	no	—
1008	C₄⋊C₄	—	2	2	no	—
1009	C₄⋊C₄	—	2	2	no	—
1010	C₄⋊C₄	—	2	2	no	—
1011	C₄⋊C₄	—	2	2	no	—
1012	C₄⋊C₄	—	2	2	no	—
1013	C₄⋊C₄	—	4	2	no	—
1014	C₄⋊C₄	—	4	2	no	—
1015	C₄⋊C₄	—	4	2	no	—
1016	C₄⋊C₄	—	4	2	no	—
1017	C₄⋊C₄	—	4	2	no	—
1018	C₄⋊C₄	—	4	2	no	—
1019	C₂²⋊C₄	—	2	4	no	—
1020	C₂²⋊C₄	—	2	4	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	2	2	no	—
1028	C₂²⋊C₄	—	2	4	no	—
1029	C₂²⋊C₄	—	2	4	no	—
1030	C₂²⋊C₄	—	2	4	no	—
1031	C₂²⋊C₄	—	2	4	no	—
1032	C₂²⋊C₄	—	2	4	no	—
1033	C₂²⋊C₄	—	2	4	no	—
1034	C₂²⋊C₄	—	2	2	no	—
1035	C₂²⋊C₄	—	2	4	no	—
1036	C₂²⋊C₄	—	2	4	no	—
1037	C₂²⋊C₄	—	2	2	no	—
1038	C₂²⋊C₄	—	2	4	no	—
1039	C₂²⋊C₄	—	2	4	no	—
1040	C₂²⋊C₄	—	2	2	no	—
1041	C₂²⋊C₄	—	2	2	no	—
1042	C₂²⋊C₄	—	2	4	no	—
1043	C₂²⋊C₄	—	2	4	no	—
1044	C₂²⋊C₄	—	2	4	no	—
1045	C₂²⋊C₄	—	2	4	no	—
1046	C₂²⋊C₄	—	2	4	no	—
1047	C₂²⋊C₄	—	2	2	no	—
1048	C₂²⋊C₄	—	2	2	no	—
1049	C₂²⋊C₄	—	2	2	no	—
1050	C₂²⋊C₄	—	4	2	no	—
1051	C₂²⋊C₄	—	4	2	no	—
1052	C₂²⋊C₄	—	4	2	no	—
1053	C₂²⋊C₄	—	4	2	no	—
1054	C₂²⋊C₄	—	4	2	no	—
1055	C₂²⋊C₄	—	4	2	no	—
1056	C₂²⋊C₄	—	4	2	no	—
1057	C₂²⋊C₄	—	4	2	no	—
1058	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1059	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1060	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1061	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1062	C₄²	—	2	2	no	—
1063	C₄²	—	2	2	no	—
1064	C₄²	—	2	2	no	—
1065	C₄²	—	4	2	no	—
1066	C₄²	—	4	2	no	—
1067	C₂³	—	2	8	no	—
1068	C₂³	—	2	8	no	—
1069	C₂³	—	2	16	no	—
1070	C₂³	—	2	8	no	—
1071	C₂³	—	2	16	no	—
1072	C₂³	—	2	2	no	—
1073	C₂³	—	2	2	no	—
1074	C₂³	—	2	2	no	—
1075	C₂³	—	2	1	no	—
1076	C₂³	—	2	2	no	—
1077	C₂³	—	2	1	no	—
1078	C₂³	—	2	2	no	—
1079	C₂³	—	2	2	no	—
1080	C₂³	—	2	2	no	—
1081	C₂³	—	2	8	no	—
1082	C₂³	—	2	16	no	—
1083	C₂³	—	2	8	no	—
1084	C₂³	—	2	16	no	—
1085	C₂³	—	2	8	no	—
1086	C₂³	—	2	16	no	—
1087	C₂³	—	2	2	no	—
1088	C₂³	—	2	2	no	—
1089	C₂³	—	2	2	no	—
1090	C₂³	—	2	1	no	—
1091	C₂³	—	2	2	no	—
1092	C₂³	—	2	1	no	—
1093	C₂³	—	2	2	no	—
1094	C₂³	—	2	2	no	—
1095	C₂³	—	2	2	no	—
1096	C₂³	—	2	2	no	—
1097	C₂³	—	2	1	no	—
1098	C₂³	—	2	2	no	—
1099	C₂³	—	2	1	no	—
1100	C₂³	—	2	1	no	—
1101	C₂³	—	2	2	no	—
1102	C₂³	—	4	4	no	—
1103	C₂³	—	4	8	no	—
1104	C₂³	—	4	8	no	—
1105	C₂³	—	4	8	no	—
1106	C₂³	—	4	8	no	—
1107	C₂³	—	4	8	no	—
1108	C₂³	—	4	8	no	—
1109	C₂³	—	4	8	no	—
1110	C₂³	—	4	8	no	—
1111	C₂³	—	4	8	no	—
1112	C₂³	—	4	8	no	—
1113	C₂³	—	4	8	no	—
1114	C₂³	—	4	8	no	—
1115	C₂³	—	4	8	no	—
1116	C₂³	—	4	128	no	—
1117	C₂³	—	4	4	no	—
1118	C₂³	—	4	8	no	—
1119	C₂³	—	4	4	no	—
1120	C₂³	—	4	8	no	—
1121	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1122	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1123	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1124	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
1125	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
1126	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1127	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
1128	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
1129	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1130	C₂³	H(5,𝔽₂)×C₁₃₉	1	4	yes	—
1131	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1132	Q₈	—	8	2	no	—
1133	D₄	—	4	4	no	—
1134	D₄	—	4	4	no	—
1135	D₄	—	4	8	no	—
1136	D₄	—	8	2	no	—
1137	D₄	—	8	4	no	—
1138	C₂×C₄	—	2	8	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	2	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	2	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	2	no	—
1151	C₂×C₄	—	2	2	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	2	no	—
1155	C₂×C₄	—	2	2	no	—
1156	C₂×C₄	—	2	2	no	—
1157	C₂×C₄	—	2	2	no	—
1158	C₂×C₄	—	2	2	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	2	no	—
1161	C₂×C₄	—	2	2	no	—
1162	C₂×C₄	—	2	2	no	—
1163	C₂×C₄	—	2	2	no	—
1164	C₂×C₄	—	2	2	no	—
1165	C₂×C₄	—	2	2	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	2	2	no	—
1168	C₂×C₄	—	2	2	no	—
1169	C₂×C₄	—	2	2	no	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	2	no	—
1172	C₂×C₄	—	2	2	no	—
1173	C₂×C₄	—	2	2	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	2	no	—
1176	C₂×C₄	—	2	2	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	4	4	no	—
1179	C₂×C₄	—	4	8	no	—
1180	C₂×C₄	—	4	8	no	—
1181	C₂×C₄	—	4	8	no	—
1182	C₂×C₄	—	4	8	no	—
1183	C₂×C₄	—	4	4	no	—
1184	C₂×C₄	—	4	4	no	—
1185	C₂×C₄	—	4	4	no	—
1186	C₂×C₄	—	8	2	no	—
1187	C₂×C₄	—	8	2	no	—
1188	C₂×C₄	—	8	4	no	—
1189	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1190	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1191	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1192	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1193	C₂²	—	2	32	no	—
1194	C₂²	—	2	2	no	—
1195	C₂²	—	2	4	no	—
1196	C₂²	—	2	4	no	—
1197	C₂²	—	2	2	no	—
1198	C₂²	—	2	4	no	—
1199	C₂²	—	2	4	no	—
1200	C₂²	—	2	4	no	—
1201	C₂²	—	2	2	no	—
1202	C₂²	—	2	4	no	—
1203	C₂²	—	2	2	no	—
1204	C₂²	—	2	4	no	—
1205	C₂²	—	2	4	no	—
1206	C₂²	—	2	4	no	—
1207	C₂²	—	2	4	no	—
1208	C₂²	—	2	2	no	—
1209	C₂²	—	2	4	no	—
1210	C₂²	—	2	2	no	—
1211	C₂²	—	2	4	no	—
1212	C₂²	—	2	2	no	—
1213	C₂²	—	2	4	no	—
1214	C₂²	—	4	16	no	—
1215	C₂²	—	4	32	no	—
1216	C₂²	—	4	16	no	—
1217	C₂²	—	4	32	no	—
1218	C₂²	—	4	2	no	—
1219	C₂²	—	4	2	no	—
1220	C₂²	—	4	2	no	—
1221	C₂²	—	4	2	no	—
1222	C₂²	—	4	2	no	—
1223	C₂²	—	4	2	no	—
1224	C₂²	—	4	1	no	—
1225	C₂²	—	4	1	no	—
1226	C₂²	—	4	2	no	—
1227	C₂²	—	4	1	no	—
1228	C₂²	—	4	2	no	—
1229	C₂²	#525×C₁₃₉	1	4	yes	—
1230	C₂²	#546×C₁₃₉	1	4	yes	—
1231	C₂²	#551×C₁₃₉	1	8	yes	complemented
1232	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1233	C₂²	C₂²×#41×C₁₃₉	1	2	yes	—
1234	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1235	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1236	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1237	C₄	—	2	2	no	—
1238	C₄	—	2	2	no	—
1239	C₄	—	2	2	no	—
1240	C₄	—	2	2	no	—
1241	C₄	—	4	1	no	—
1242	C₄	—	4	1	no	—
1243	C₄	—	4	1	no	—
1244	C₄	—	4	2	no	—
1245	C₄	—	4	1	no	—
1246	C₄	—	4	2	no	—
1247	C₄	—	4	2	no	—
1248	C₄	—	4	1	no	—
1249	C₄	—	4	1	no	—
1250	C₄	—	4	1	no	—
1251	C₄	—	4	2	no	—
1252	C₄	—	4	2	no	—
1253	C₄	—	4	2	no	—
1254	C₂	—	2	4	no	—
1255	C₂	—	2	8	no	—
1256	C₂	—	2	4	no	—
1257	C₂	—	4	2	no	—
1258	C₂	—	4	4	no	—
1259	C₂	—	8	1	no	—
1260	C₂	C₂×#525×C₁₃₉	1	1	yes	characteristic
1261	C₂	C₂×#546×C₁₃₉	1	1	yes	characteristic
1262	C₂	C₂×#551×C₁₃₉	1	2	yes	—
1263	C₂	#3484×C₁₃₉	1	1	yes	characteristic
1264	C₂	#3490×C₁₃₉	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	#2846×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. C₂³×C₂²⋊C₄×C₁₃₉	C₂	semidirect
3. #2849×C₁₃₉	C₂	semidirect
4. #2848×C₁₃₉	C₂	semidirect
6. #2561×C₁₃₉	C₂	semidirect
7. #2534×C₁₃₉	C₂	semidirect
8. #2483×C₁₃₉	C₂	semidirect
9. #2482×C₁₃₉	C₂	semidirect
10. #2480×C₁₃₉	C₂	semidirect
11. #2480×C₁₃₉	C₂	semidirect
12. #2472×C₁₃₉	C₂	semidirect
13. #2437×C₁₃₉	C₂	semidirect
14. #2418×C₁₃₉	C₂	semidirect
15. #2412×C₁₃₉	C₂	semidirect
16. #2412×C₁₃₉	C₂	semidirect
17. #2411×C₁₃₉	C₂	semidirect
18. #2358×C₁₃₉	C₂	semidirect
19. #2342×C₁₃₉	C₂	semidirect
20. #2342×C₁₃₉	C₂	semidirect
21. C₄×#120×C₁₃₉	C₂	semidirect
22. #2280×C₁₃₉	C₂	semidirect
23. C₂×#379×C₁₃₉	C₂	semidirect
28. C₂×#126×C₁₃₉	C₂²	semidirect
29. C₂×#126×C₁₃₉	C₂²	semidirect
30. C₂×#124×C₁₃₉	C₂²	semidirect
31. C₂×#123×C₁₃₉	C₂²	semidirect
32. C₂×#123×C₁₃₉	C₂²	semidirect
33. C₂×#123×C₁₃₉	C₂²	semidirect
34. C₂×#123×C₁₃₉	C₂²	semidirect
35. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
36. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
37. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
43. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
44. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
45. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
46. C₂×#117×C₁₃₉	C₂²	semidirect
47. C₂×#117×C₁₃₉	C₂²	semidirect
48. C₂×#117×C₁₃₉	C₂²	semidirect
62. #399×C₁₃₉	C₂²	semidirect
63. #397×C₁₃₉	C₂²	semidirect
64. #397×C₁₃₉	C₂²	semidirect
65. #397×C₁₃₉	C₂²	semidirect
66. #397×C₁₃₉	C₂²	semidirect
67. #397×C₁₃₉	C₂²	semidirect
68. #396×C₁₃₉	C₂²	semidirect
69. #396×C₁₃₉	C₂²	semidirect
70. #394×C₁₃₉	C₂²	semidirect
71. #394×C₁₃₉	C₂²	semidirect
72. #394×C₁₃₉	C₂²	semidirect
73. #393×C₁₃₉	C₂²	semidirect
74. #390×C₁₃₉	C₂²	semidirect
75. #388×C₁₃₉	C₂²	semidirect
76. #388×C₁₃₉	C₂²	semidirect
77. #388×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. #386×C₁₃₉	C₂²	semidirect
84. #386×C₁₃₉	C₂²	semidirect
85. #386×C₁₃₉	C₂²	semidirect
86. #386×C₁₃₉	C₂²	semidirect
87. #386×C₁₃₉	C₂²	semidirect
88. #386×C₁₃₉	C₂²	semidirect
89. #385×C₁₃₉	C₂²	semidirect
90. #385×C₁₃₉	C₂²	semidirect
91. #385×C₁₃₉	C₂²	semidirect
92. #385×C₁₃₉	C₂²	semidirect
93. #385×C₁₃₉	C₂²	semidirect
94. #385×C₁₃₉	C₂²	semidirect
95. #385×C₁₃₉	C₂²	semidirect
96. #385×C₁₃₉	C₂²	semidirect
97. #385×C₁₃₉	C₂²	semidirect
98. #385×C₁₃₉	C₂²	semidirect
99. #381×C₁₃₉	C₂²	semidirect
100. #381×C₁₃₉	C₂²	semidirect
101. #381×C₁₃₉	C₂²	semidirect
102. #381×C₁₃₉	C₂²	semidirect
103. #381×C₁₃₉	C₂²	semidirect
104. #380×C₁₃₉	C₂²	semidirect
105. #380×C₁₃₉	C₂²	semidirect
106. #380×C₁₃₉	C₂²	semidirect
107. #380×C₁₃₉	C₂²	semidirect
108. #380×C₁₃₉	C₂²	semidirect
120. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
121. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
122. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
123. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
124. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
135. C₂²×Q₈×C₁₃₉	C₂³	semidirect
157. C₂³×C₄×C₁₃₉	C₂³	semidirect
179. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
180. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
181. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
182. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
183. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
184. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
185. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
186. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
187. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
188. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
189. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
190. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
191. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
192. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
204. C₂×C₂²⋊C₄×C₁₃₉	D₄	semidirect
243. C₂×C₂²⋊C₄×C₁₃₉	C₂³	semidirect
244. C₂×C₂²⋊C₄×C₁₃₉	C₂³	semidirect
245. C₂×C₂²⋊C₄×C₁₃₉	C₂³	semidirect
246. C₂×C₂²⋊C₄×C₁₃₉	C₂³	semidirect
247. C₂×C₂²⋊C₄×C₁₃₉	C₂³	semidirect
248. C₂×C₄²×C₁₃₉	C₂³	semidirect
249. C₂×C₄²×C₁₃₉	C₂³	semidirect
250. C₂×C₄²×C₁₃₉	C₂³	semidirect
251. C₂×C₄²×C₁₃₉	C₂³	semidirect
252. C₂×C₄²×C₁₃₉	C₂³	semidirect
253. #95×C₁₃₉	C₂³	semidirect
254. #95×C₁₃₉	C₂³	semidirect
255. #95×C₁₃₉	C₂³	semidirect
256. #95×C₁₃₉	C₂³	semidirect
257. #95×C₁₃₉	C₂³	semidirect
258. #95×C₁₃₉	C₂³	semidirect
259. #95×C₁₃₉	C₂³	semidirect
260. #95×C₁₃₉	C₂³	semidirect
261. #95×C₁₃₉	C₂³	semidirect
262. #95×C₁₃₉	C₂³	semidirect
263. #95×C₁₃₉	C₂³	semidirect
264. #95×C₁₃₉	C₂³	semidirect
265. #95×C₁₃₉	C₂³	semidirect
266. #95×C₁₃₉	C₂³	semidirect
598. C₂²×C₁₃₉	#551	semidirect
632. #36158	C₁₃₉	direct (N × H)
633. C₁₃₉	#36158	direct (N × H)
634. C₂×#551	C₂×C₁₃₉	semidirect
635. C₂³×C₂²⋊C₄	C₂×C₁₃₉	semidirect
636. #2849	C₂×C₁₃₉	semidirect
637. #2848	C₂×C₁₃₉	semidirect
639. #2561	C₂×C₁₃₉	semidirect
640. #2534	C₂×C₁₃₉	semidirect
641. #2483	C₂×C₁₃₉	semidirect
642. #2482	C₂×C₁₃₉	semidirect
643. #2480	C₂×C₁₃₉	semidirect
644. #2480	C₂×C₁₃₉	semidirect
645. #2472	C₂×C₁₃₉	semidirect
646. #2437	C₂×C₁₃₉	semidirect
647. #2418	C₂×C₁₃₉	semidirect
648. #2412	C₂×C₁₃₉	semidirect
649. #2412	C₂×C₁₃₉	semidirect
650. #2411	C₂×C₁₃₉	semidirect
651. #2358	C₂×C₁₃₉	semidirect
652. #2342	C₂×C₁₃₉	semidirect
653. #2342	C₂×C₁₃₉	semidirect
654. C₄×#120	C₂×C₁₃₉	semidirect
655. #2280	C₂×C₁₃₉	semidirect
656. C₂×#379	C₂×C₁₃₉	semidirect
661. C₂×#126	C₂²×C₁₃₉	semidirect
662. C₂×#126	C₂²×C₁₃₉	semidirect
663. C₂×#124	C₂²×C₁₃₉	semidirect
664. C₂×#123	C₂²×C₁₃₉	semidirect
665. C₂×#123	C₂²×C₁₃₉	semidirect
666. C₂×#123	C₂²×C₁₃₉	semidirect
667. C₂×#123	C₂²×C₁₃₉	semidirect
668. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
669. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
670. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
676. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
677. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
678. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
679. C₂×#117	C₂²×C₁₃₉	semidirect
680. C₂×#117	C₂²×C₁₃₉	semidirect
681. C₂×#117	C₂²×C₁₃₉	semidirect
695. #399	C₂²×C₁₃₉	semidirect
696. #397	C₂²×C₁₃₉	semidirect
697. #397	C₂²×C₁₃₉	semidirect
698. #397	C₂²×C₁₃₉	semidirect
699. #397	C₂²×C₁₃₉	semidirect
700. #397	C₂²×C₁₃₉	semidirect
701. #396	C₂²×C₁₃₉	semidirect
702. #396	C₂²×C₁₃₉	semidirect
703. #394	C₂²×C₁₃₉	semidirect
704. #394	C₂²×C₁₃₉	semidirect
705. #394	C₂²×C₁₃₉	semidirect
706. #393	C₂²×C₁₃₉	semidirect
707. #390	C₂²×C₁₃₉	semidirect
708. #388	C₂²×C₁₃₉	semidirect
709. #388	C₂²×C₁₃₉	semidirect
710. #388	C₂²×C₁₃₉	semidirect
711. #388	C₂²×C₁₃₉	semidirect
712. #388	C₂²×C₁₃₉	semidirect
713. #388	C₂²×C₁₃₉	semidirect
714. #388	C₂²×C₁₃₉	semidirect
715. #388	C₂²×C₁₃₉	semidirect
716. #386	C₂²×C₁₃₉	semidirect
717. #386	C₂²×C₁₃₉	semidirect
718. #386	C₂²×C₁₃₉	semidirect
719. #386	C₂²×C₁₃₉	semidirect
720. #386	C₂²×C₁₃₉	semidirect
721. #386	C₂²×C₁₃₉	semidirect
722. #385	C₂²×C₁₃₉	semidirect
723. #385	C₂²×C₁₃₉	semidirect
724. #385	C₂²×C₁₃₉	semidirect
725. #385	C₂²×C₁₃₉	semidirect
726. #385	C₂²×C₁₃₉	semidirect
727. #385	C₂²×C₁₃₉	semidirect
728. #385	C₂²×C₁₃₉	semidirect
729. #385	C₂²×C₁₃₉	semidirect
730. #385	C₂²×C₁₃₉	semidirect
731. #385	C₂²×C₁₃₉	semidirect
732. #381	C₂²×C₁₃₉	semidirect
733. #381	C₂²×C₁₃₉	semidirect
734. #381	C₂²×C₁₃₉	semidirect
735. #381	C₂²×C₁₃₉	semidirect
736. #381	C₂²×C₁₃₉	semidirect
737. #380	C₂²×C₁₃₉	semidirect
738. #380	C₂²×C₁₃₉	semidirect
739. #380	C₂²×C₁₃₉	semidirect
740. #380	C₂²×C₁₃₉	semidirect
741. #380	C₂²×C₁₃₉	semidirect
753. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
754. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
755. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
756. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
757. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
768. C₂²×Q₈	C₂³×C₁₃₉	semidirect
790. C₂³×C₄	C₂³×C₁₃₉	semidirect
812. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
813. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
814. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
815. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
816. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
817. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
818. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
819. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
820. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
821. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
822. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
823. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
824. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
825. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
837. C₂×C₂²⋊C₄	D₄×C₁₃₉	semidirect
876. C₂×C₂²⋊C₄	C₂³×C₁₃₉	semidirect
877. C₂×C₂²⋊C₄	C₂³×C₁₃₉	semidirect
878. C₂×C₂²⋊C₄	C₂³×C₁₃₉	semidirect
879. C₂×C₂²⋊C₄	C₂³×C₁₃₉	semidirect
880. C₂×C₂²⋊C₄	C₂³×C₁₃₉	semidirect
881. C₂×C₄²	C₂³×C₁₃₉	semidirect
882. C₂×C₄²	C₂³×C₁₃₉	semidirect
883. C₂×C₄²	C₂³×C₁₃₉	semidirect
884. C₂×C₄²	C₂³×C₁₃₉	semidirect
885. C₂×C₄²	C₂³×C₁₃₉	semidirect
886. #95	C₂³×C₁₃₉	semidirect
887. #95	C₂³×C₁₃₉	semidirect
888. #95	C₂³×C₁₃₉	semidirect
889. #95	C₂³×C₁₃₉	semidirect
890. #95	C₂³×C₁₃₉	semidirect
891. #95	C₂³×C₁₃₉	semidirect
892. #95	C₂³×C₁₃₉	semidirect
893. #95	C₂³×C₁₃₉	semidirect
894. #95	C₂³×C₁₃₉	semidirect
895. #95	C₂³×C₁₃₉	semidirect
896. #95	C₂³×C₁₃₉	semidirect
897. #95	C₂³×C₁₃₉	semidirect
898. #95	C₂³×C₁₃₉	semidirect
899. #95	C₂³×C₁₃₉	semidirect
1231. C₂²	#551×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
C₂³×C₂²⋊C₄×C₁₃₉	2
#2849×C₁₃₉	2
#2848×C₁₃₉	2
#2846×C₁₃₉	2
#2561×C₁₃₉	2
#2534×C₁₃₉	2
#2483×C₁₃₉	2
#2482×C₁₃₉	2
#2480×C₁₃₉	2
#2472×C₁₃₉	2
#2437×C₁₃₉	2
#2418×C₁₃₉	2
#2412×C₁₃₉	2
#2411×C₁₃₉	2
#2358×C₁₃₉	2
#2342×C₁₃₉	2
C₄×#120×C₁₃₉	2
#2280×C₁₃₉	2
C₂×#379×C₁₃₉	2
#36158	139

Subgroups — C139×#36158 #48030754

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36158 #48030754