Subgroups — C₁₃₉×#35873 #48030469

Order 35584.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1026 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2644×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#2643×C₁₃₉	C₂	1	2	yes	maximal, complemented
3	#2513×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2513×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2512×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2510×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2510×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2496×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2495×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2494×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
11	#2481×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2480×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2480×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2480×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2401×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#397×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2349×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2349×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	D₄×C₄⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	D₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic
21	D₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic
22	D₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic
23	#2275×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
25	C₂×#126×C₁₃₉	C₂²	1	2	yes	—
26	C₂×#126×C₁₃₉	C₂²	1	2	yes	complemented
27	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
28	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
29	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
30	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
31	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
34	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
35	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
36	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
37	#401×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
38	#401×C₁₃₉	C₂²	1	2	yes	complemented
39	#400×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
40	#400×C₁₃₉	C₂²	1	2	yes	complemented
41	#400×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
42	#400×C₁₃₉	C₂²	1	2	yes	complemented
43	#400×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
44	#397×C₁₃₉	C₂²	1	1	yes	characteristic
45	#397×C₁₃₉	C₂²	1	2	yes	—
46	#397×C₁₃₉	C₂²	1	2	yes	—
47	#397×C₁₃₉	C₂²	1	2	yes	—
48	#397×C₁₃₉	C₂²	1	1	yes	characteristic
49	#397×C₁₃₉	C₂²	1	1	yes	characteristic
50	#397×C₁₃₉	C₂²	1	2	yes	complemented
51	#397×C₁₃₉	C₂²	1	2	yes	complemented
52	#397×C₁₃₉	C₂²	1	2	yes	complemented
53	#397×C₁₃₉	C₂²	1	2	yes	complemented
54	#397×C₁₃₉	C₂²	1	2	yes	complemented
55	#397×C₁₃₉	C₂²	1	2	yes	complemented
56	#397×C₁₃₉	C₂²	1	2	yes	complemented
57	#397×C₁₃₉	C₂²	1	2	yes	complemented
58	#396×C₁₃₉	C₂²	1	1	yes	characteristic
59	#396×C₁₃₉	C₂²	1	2	yes	complemented
60	#396×C₁₃₉	C₂²	1	2	yes	complemented
61	#390×C₁₃₉	C₂²	1	1	yes	characteristic
62	#390×C₁₃₉	C₂²	1	1	yes	characteristic
63	#390×C₁₃₉	C₂²	1	1	yes	characteristic
64	#390×C₁₃₉	C₂²	1	1	yes	characteristic
65	#390×C₁₃₉	C₂²	1	1	yes	characteristic
66	#390×C₁₃₉	C₂²	1	1	yes	characteristic
67	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
68	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
69	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
70	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
71	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
72	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
73	#388×C₁₃₉	C₂²	1	2	yes	—
74	#388×C₁₃₉	C₂²	1	2	yes	—
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	#387×C₁₃₉	C₂²	1	2	yes	complemented
81	#387×C₁₃₉	C₂²	1	2	yes	complemented
82	#386×C₁₃₉	C₂²	1	2	yes	—
83	#386×C₁₃₉	C₂²	1	2	yes	—
84	#386×C₁₃₉	C₂²	1	2	yes	—
85	#386×C₁₃₉	C₂²	1	2	yes	—
86	#386×C₁₃₉	C₂²	1	2	yes	—
87	#386×C₁₃₉	C₂²	1	2	yes	—
88	#385×C₁₃₉	C₂²	1	2	yes	complemented
89	#385×C₁₃₉	C₂²	1	2	yes	complemented
90	#385×C₁₃₉	C₂²	1	2	yes	complemented
91	#385×C₁₃₉	C₂²	1	2	yes	complemented
92	#385×C₁₃₉	C₂²	1	2	yes	complemented
93	#385×C₁₃₉	C₂²	1	2	yes	complemented
94	#384×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
95	#383×C₁₃₉	C₂²	1	2	yes	complemented
96	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
97	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
98	#380×C₁₃₉	C₂²	1	1	yes	characteristic
99	#380×C₁₃₉	C₂²	1	1	yes	characteristic
100	#380×C₁₃₉	C₂²	1	1	yes	characteristic
101	#380×C₁₃₉	C₂²	1	2	yes	complemented
102	#380×C₁₃₉	C₂²	1	2	yes	complemented
103	#380×C₁₃₉	C₂²	1	2	yes	complemented
104	#379×C₁₃₉	C₂²	1	2	yes	—
105	#379×C₁₃₉	C₂²	1	2	yes	—
106	#379×C₁₃₉	C₂²	1	2	yes	—
107	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
108	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
109	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
110	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
111	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
112	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
113	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
114	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
115	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
116	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
117	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
118	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
119	#376×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
120	C₂×#95×C₁₃₉	C₂²	1	2	yes	complemented
121	C₂×#95×C₁₃₉	C₂²	1	2	yes	complemented
122	C₂×#95×C₁₃₉	C₂²	1	2	yes	complemented
123	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
124	C₂²×D₄×C₁₃₉	—	2	4	no	—
125	C₂²×D₄×C₁₃₉	—	2	4	no	—
126	C₂²×D₄×C₁₃₉	—	2	4	no	—
127	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
128	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
129	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
130	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
131	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
132	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
133	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
134	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
135	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
136	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
137	#126×C₁₃₉	—	4	4	no	—
138	#126×C₁₃₉	—	4	4	no	—
139	C₄×D₄×C₁₃₉	—	2	4	no	—
140	C₄×D₄×C₁₃₉	—	2	4	no	—
141	C₄×D₄×C₁₃₉	—	2	4	no	—
142	C₄×D₄×C₁₃₉	—	2	4	no	—
143	C₄×D₄×C₁₃₉	—	2	4	no	—
144	C₄×D₄×C₁₃₉	—	2	4	no	—
145	C₂×C₄⋊C₄×C₁₃₉	—	4	4	no	—
146	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
147	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
148	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
149	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
150	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
154	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
155	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
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	1	yes	characteristic
165	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
166	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
167	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
168	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
169	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
170	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
171	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
183	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
184	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
197	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
198	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
199	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
200	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
201	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
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	#95×C₁₃₉	C₂³	1	1	yes	characteristic
206	#95×C₁₃₉	C₂³	1	1	yes	characteristic
207	#95×C₁₃₉	C₂³	1	2	yes	—
208	#95×C₁₃₉	C₂³	1	1	yes	characteristic
209	#95×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
214	#95×C₁₃₉	C₂³	1	1	yes	characteristic
215	#95×C₁₃₉	C₂³	1	1	yes	characteristic
216	#95×C₁₃₉	C₂³	1	2	yes	—
217	#95×C₁₃₉	C₂³	1	2	yes	—
218	#95×C₁₃₉	C₂³	1	2	yes	—
219	#95×C₁₃₉	C₂³	1	2	yes	—
220	#95×C₁₃₉	C₂³	1	2	yes	—
221	#95×C₁₃₉	C₂³	1	1	yes	characteristic
222	#95×C₁₃₉	C₂³	1	1	yes	characteristic
223	#95×C₁₃₉	C₂³	1	1	yes	characteristic
224	#95×C₁₃₉	C₂³	1	2	yes	—
225	#95×C₁₃₉	C₂³	1	2	yes	—
226	#95×C₁₃₉	C₂³	1	2	yes	—
227	#95×C₁₃₉	C₂³	1	2	yes	—
228	#95×C₁₃₉	C₂³	1	1	yes	characteristic
229	#95×C₁₃₉	C₂³	1	1	yes	characteristic
230	#95×C₁₃₉	C₂³	1	1	yes	characteristic
231	#95×C₁₃₉	C₂³	1	1	yes	characteristic
232	#95×C₁₃₉	C₂³	1	2	yes	—
233	#95×C₁₃₉	C₂³	1	1	yes	characteristic
234	#95×C₁₃₉	C₂³	1	1	yes	characteristic
235	#95×C₁₃₉	C₂³	1	2	yes	—
236	#95×C₁₃₉	C₂³	1	2	yes	—
237	C₂⁴×C₁₃₉	—	2	4	no	—
238	C₂⁴×C₁₃₉	—	2	4	no	—
239	C₂⁴×C₁₃₉	—	2	4	no	—
240	C₂⁴×C₁₃₉	—	2	4	no	—
241	C₂⁴×C₁₃₉	—	4	2	no	—
242	C₂⁴×C₁₃₉	—	4	2	no	—
243	C₂⁴×C₁₃₉	—	4	2	no	—
244	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
245	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
246	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
247	C₂×D₄×C₁₃₉	—	2	4	no	—
248	C₂×D₄×C₁₃₉	—	2	4	no	—
249	C₂×D₄×C₁₃₉	—	2	4	no	—
250	C₂×D₄×C₁₃₉	—	2	2	no	—
251	C₂×D₄×C₁₃₉	—	2	2	no	—
252	C₂×D₄×C₁₃₉	—	2	2	no	—
253	C₂×D₄×C₁₃₉	—	4	16	no	—
254	C₂×D₄×C₁₃₉	#41	1	4	yes	—
255	C₂×D₄×C₁₃₉	#41	1	4	yes	—
256	C₂×D₄×C₁₃₉	#41	1	4	yes	—
257	C₂²×C₄×C₁₃₉	—	2	4	no	—
258	C₂²×C₄×C₁₃₉	—	2	4	no	—
259	C₂²×C₄×C₁₃₉	—	2	4	no	—
260	C₂²×C₄×C₁₃₉	—	2	4	no	—
261	C₂²×C₄×C₁₃₉	—	2	4	no	—
262	C₂²×C₄×C₁₃₉	—	2	4	no	—
263	C₂²×C₄×C₁₃₉	—	2	2	no	—
264	C₂²×C₄×C₁₃₉	—	2	2	no	—
265	C₂²×C₄×C₁₃₉	—	2	2	no	—
266	C₂²×C₄×C₁₃₉	—	2	4	no	—
267	C₂²×C₄×C₁₃₉	—	4	2	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	—	4	2	no	—
278	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
279	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
280	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
281	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
282	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
283	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
284	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
285	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
286	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
287	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
288	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
289	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
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	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
295	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
296	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
297	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
298	C₄⋊C₄×C₁₃₉	—	2	2	no	—
299	C₄⋊C₄×C₁₃₉	—	2	2	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	2	no	—
305	C₄⋊C₄×C₁₃₉	—	2	4	no	—
306	C₄⋊C₄×C₁₃₉	—	2	2	no	—
307	C₄⋊C₄×C₁₃₉	—	4	2	no	—
308	C₄⋊C₄×C₁₃₉	—	4	2	no	—
309	C₄⋊C₄×C₁₃₉	—	4	1	no	—
310	C₄⋊C₄×C₁₃₉	—	4	1	no	—
311	C₄⋊C₄×C₁₃₉	—	4	1	no	—
312	C₄⋊C₄×C₁₃₉	—	4	1	no	—
313	C₄⋊C₄×C₁₃₉	—	4	2	no	—
314	C₄⋊C₄×C₁₃₉	—	4	2	no	—
315	C₄⋊C₄×C₁₃₉	—	4	2	no	—
316	C₄⋊C₄×C₁₃₉	—	4	2	no	—
317	C₄⋊C₄×C₁₃₉	—	4	2	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	2	no	—
325	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
326	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
327	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
328	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
329	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
330	C₂²⋊C₄×C₁₃₉	—	2	4	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	1	no	—
338	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
339	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
340	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
341	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
342	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
343	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
344	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
345	C₄²×C₁₃₉	—	2	2	no	—
346	C₄²×C₁₃₉	—	2	2	no	—
347	C₄²×C₁₃₉	—	2	2	no	—
348	C₄²×C₁₃₉	—	2	2	no	—
349	C₄²×C₁₃₉	—	2	2	no	—
350	C₄²×C₁₃₉	—	2	2	no	—
351	C₄²×C₁₃₉	—	4	2	no	—
352	C₄²×C₁₃₉	—	4	2	no	—
353	C₄²×C₁₃₉	—	4	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	1	no	—
359	C₂³×C₁₃₉	—	2	1	no	—
360	C₂³×C₁₃₉	—	2	1	no	—
361	C₂³×C₁₃₉	—	2	1	no	—
362	C₂³×C₁₃₉	—	2	1	no	—
363	C₂³×C₁₃₉	—	2	1	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	—	2	2	no	—
371	C₂³×C₁₃₉	—	4	8	no	—
372	C₂³×C₁₃₉	—	4	8	no	—
373	C₂³×C₁₃₉	—	4	8	no	—
374	C₂³×C₁₃₉	—	4	8	no	—
375	C₂³×C₁₃₉	—	8	4	no	—
376	C₂³×C₁₃₉	—	8	4	no	—
377	C₂³×C₁₃₉	—	8	4	no	—
378	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
379	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
380	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
381	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
382	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
383	D₄×C₁₃₉	—	4	8	no	—
384	D₄×C₁₃₉	—	4	4	no	—
385	D₄×C₁₃₉	#126	1	16	yes	complemented
386	C₂×C₄×C₁₃₉	—	2	1	no	—
387	C₂×C₄×C₁₃₉	—	2	1	no	—
388	C₂×C₄×C₁₃₉	—	2	1	no	—
389	C₂×C₄×C₁₃₉	—	2	1	no	—
390	C₂×C₄×C₁₃₉	—	2	1	no	—
391	C₂×C₄×C₁₃₉	—	2	1	no	—
392	C₂×C₄×C₁₃₉	—	2	1	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	1	no	—
398	C₂×C₄×C₁₃₉	—	2	1	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	1	no	—
406	C₂×C₄×C₁₃₉	—	2	1	no	—
407	C₂×C₄×C₁₃₉	—	2	1	no	—
408	C₂×C₄×C₁₃₉	—	2	1	no	—
409	C₂×C₄×C₁₃₉	—	2	1	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	2	no	—
414	C₂×C₄×C₁₃₉	—	2	1	no	—
415	C₂×C₄×C₁₃₉	—	2	1	no	—
416	C₂×C₄×C₁₃₉	—	2	1	no	—
417	C₂×C₄×C₁₃₉	—	2	1	no	—
418	C₂×C₄×C₁₃₉	—	2	1	no	—
419	C₂×C₄×C₁₃₉	—	2	2	no	—
420	C₂×C₄×C₁₃₉	—	2	2	no	—
421	C₂×C₄×C₁₃₉	—	2	1	no	—
422	C₂×C₄×C₁₃₉	—	2	1	no	—
423	C₂×C₄×C₁₃₉	—	2	2	no	—
424	C₂×C₄×C₁₃₉	—	2	2	no	—
425	C₂×C₄×C₁₃₉	—	2	1	no	—
426	C₂×C₄×C₁₃₉	—	2	1	no	—
427	C₂×C₄×C₁₃₉	—	2	1	no	—
428	C₂×C₄×C₁₃₉	—	2	2	no	—
429	C₂×C₄×C₁₃₉	—	2	2	no	—
430	C₂×C₄×C₁₃₉	—	2	1	no	—
431	C₂×C₄×C₁₃₉	—	2	1	no	—
432	C₂×C₄×C₁₃₉	—	2	1	no	—
433	C₂×C₄×C₁₃₉	—	2	1	no	—
434	C₂×C₄×C₁₃₉	—	2	1	no	—
435	C₂×C₄×C₁₃₉	—	2	1	no	—
436	C₂×C₄×C₁₃₉	—	2	1	no	—
437	C₂×C₄×C₁₃₉	—	2	2	no	—
438	C₂×C₄×C₁₃₉	—	2	2	no	—
439	C₂×C₄×C₁₃₉	—	2	1	no	—
440	C₂×C₄×C₁₃₉	—	2	1	no	—
441	C₂×C₄×C₁₃₉	—	2	1	no	—
442	C₂×C₄×C₁₃₉	—	4	8	no	—
443	C₂×C₄×C₁₃₉	—	4	4	no	—
444	C₂×C₄×C₁₃₉	—	8	4	no	—
445	C₂×C₄×C₁₃₉	—	8	4	no	—
446	C₂×C₄×C₁₃₉	—	8	4	no	—
447	C₂×C₄×C₁₃₉	—	8	4	no	—
448	C₂×C₄×C₁₃₉	—	8	4	no	—
449	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
450	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
451	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
452	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
453	C₂²×C₁₃₉	—	2	4	no	—
454	C₂²×C₁₃₉	—	2	4	no	—
455	C₂²×C₁₃₉	—	2	4	no	—
456	C₂²×C₁₃₉	—	2	4	no	—
457	C₂²×C₁₃₉	—	2	4	no	—
458	C₂²×C₁₃₉	—	2	4	no	—
459	C₂²×C₁₃₉	—	2	2	no	—
460	C₂²×C₁₃₉	—	2	2	no	—
461	C₂²×C₁₃₉	—	2	2	no	—
462	C₂²×C₁₃₉	—	4	1	no	—
463	C₂²×C₁₃₉	—	4	1	no	—
464	C₂²×C₁₃₉	—	4	1	no	—
465	C₂²×C₁₃₉	—	4	1	no	—
466	C₂²×C₁₃₉	—	4	2	no	—
467	C₂²×C₁₃₉	—	4	2	no	—
468	C₂²×C₁₃₉	—	4	2	no	—
469	C₂²×C₁₃₉	—	4	2	no	—
470	C₂²×C₁₃₉	—	4	2	no	—
471	C₂²×C₁₃₉	—	4	2	no	—
472	C₂²×C₁₃₉	—	4	2	no	—
473	C₂²×C₁₃₉	—	8	16	no	—
474	C₂²×C₁₃₉	C₂×#126	1	8	yes	—
475	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
476	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
477	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
478	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
479	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
480	C₂²×C₁₃₉	#585	1	1	yes	characteristic
481	C₂²×C₁₃₉	#585	1	1	yes	characteristic
482	C₄×C₁₃₉	—	2	2	no	—
483	C₄×C₁₃₉	—	4	1	no	—
484	C₄×C₁₃₉	—	4	1	no	—
485	C₄×C₁₃₉	—	4	1	no	—
486	C₄×C₁₃₉	—	4	1	no	—
487	C₄×C₁₃₉	—	4	2	no	—
488	C₄×C₁₃₉	—	4	2	no	—
489	C₄×C₁₃₉	—	4	2	no	—
490	C₄×C₁₃₉	—	4	1	no	—
491	C₄×C₁₃₉	—	4	1	no	—
492	C₄×C₁₃₉	—	4	1	no	—
493	C₄×C₁₃₉	—	4	2	no	—
494	C₄×C₁₃₉	—	4	1	no	—
495	C₄×C₁₃₉	—	4	2	no	—
496	C₄×C₁₃₉	—	4	2	no	—
497	C₄×C₁₃₉	—	4	1	no	—
498	C₄×C₁₃₉	—	4	1	no	—
499	C₄×C₁₃₉	—	4	1	no	—
500	C₄×C₁₃₉	—	4	1	no	—
501	C₄×C₁₃₉	C₂×#126	1	4	yes	—
502	C₂×C₁₃₉	—	2	8	no	—
503	C₂×C₁₃₉	—	4	2	no	—
504	C₂×C₁₃₉	—	8	2	no	—
505	C₂×C₁₃₉	C₂²×#126	1	1	yes	characteristic
506	C₂×C₁₃₉	#3513	1	1	yes	characteristic
507	C₂×C₁₃₉	#3513	1	1	yes	characteristic
508	C₂×C₁₃₉	#3513	1	1	yes	characteristic
509	C₂×C₁₃₉	#3514	1	1	yes	characteristic
510	C₂×C₁₃₉	#3519	1	1	yes	characteristic
511	C₂×C₁₃₉	#3521	1	1	yes	characteristic
512	#35873	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
513	C₁₃₉	#35873	1	1	yes	characteristic, direct product factor, Sylow
514	#2644	C₂×C₁₃₉	1	1	yes	characteristic, complemented
515	#2643	C₂×C₁₃₉	1	2	yes	complemented
516	#2513	C₂×C₁₃₉	1	1	yes	characteristic, complemented
517	#2513	C₂×C₁₃₉	1	1	yes	characteristic, complemented
518	#2512	C₂×C₁₃₉	1	1	yes	characteristic, complemented
519	#2510	C₂×C₁₃₉	1	2	yes	complemented
520	#2510	C₂×C₁₃₉	1	2	yes	complemented
521	#2496	C₂×C₁₃₉	1	1	yes	characteristic, complemented
522	#2495	C₂×C₁₃₉	1	1	yes	characteristic, complemented
523	#2494	C₂×C₁₃₉	1	1	yes	characteristic, complemented
524	#2481	C₂×C₁₃₉	1	2	yes	complemented
525	#2480	C₂×C₁₃₉	1	2	yes	complemented
526	#2480	C₂×C₁₃₉	1	2	yes	complemented
527	#2480	C₂×C₁₃₉	1	2	yes	complemented
528	#2401	C₂×C₁₃₉	1	1	yes	characteristic, complemented
529	C₂×#397	C₂×C₁₃₉	1	2	yes	complemented
530	#2349	C₂×C₁₃₉	1	1	yes	characteristic, complemented
531	#2349	C₂×C₁₃₉	1	1	yes	characteristic, complemented
532	D₄×C₄⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
533	D₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic
534	D₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic
535	D₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic
536	#2275	C₂×C₁₃₉	1	1	yes	characteristic, complemented
537	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
538	C₂×#126	C₂²×C₁₃₉	1	2	yes	—
539	C₂×#126	C₂²×C₁₃₉	1	2	yes	complemented
540	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
541	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
542	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
543	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
544	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
545	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
546	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
547	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
548	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
549	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
550	#401	C₂²×C₁₃₉	1	2	yes	complemented
551	#401	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
552	#400	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
553	#400	C₂²×C₁₃₉	1	2	yes	complemented
554	#400	C₂²×C₁₃₉	1	2	yes	complemented
555	#400	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
556	#400	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
557	#397	C₂²×C₁₃₉	1	1	yes	characteristic
558	#397	C₂²×C₁₃₉	1	2	yes	—
559	#397	C₂²×C₁₃₉	1	2	yes	—
560	#397	C₂²×C₁₃₉	1	2	yes	—
561	#397	C₂²×C₁₃₉	1	1	yes	characteristic
562	#397	C₂²×C₁₃₉	1	1	yes	characteristic
563	#397	C₂²×C₁₃₉	1	2	yes	complemented
564	#397	C₂²×C₁₃₉	1	2	yes	complemented
565	#397	C₂²×C₁₃₉	1	2	yes	complemented
566	#397	C₂²×C₁₃₉	1	2	yes	complemented
567	#397	C₂²×C₁₃₉	1	2	yes	complemented
568	#397	C₂²×C₁₃₉	1	2	yes	complemented
569	#397	C₂²×C₁₃₉	1	2	yes	complemented
570	#397	C₂²×C₁₃₉	1	2	yes	complemented
571	#396	C₂²×C₁₃₉	1	1	yes	characteristic
572	#396	C₂²×C₁₃₉	1	2	yes	complemented
573	#396	C₂²×C₁₃₉	1	2	yes	complemented
574	#390	C₂²×C₁₃₉	1	1	yes	characteristic
575	#390	C₂²×C₁₃₉	1	1	yes	characteristic
576	#390	C₂²×C₁₃₉	1	1	yes	characteristic
577	#390	C₂²×C₁₃₉	1	1	yes	characteristic
578	#390	C₂²×C₁₃₉	1	1	yes	characteristic
579	#390	C₂²×C₁₃₉	1	1	yes	characteristic
580	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
581	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
582	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
583	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
584	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
585	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
586	#388	C₂²×C₁₃₉	1	2	yes	—
587	#388	C₂²×C₁₃₉	1	2	yes	—
588	#388	C₂²×C₁₃₉	1	2	yes	complemented
589	#388	C₂²×C₁₃₉	1	2	yes	complemented
590	#388	C₂²×C₁₃₉	1	2	yes	complemented
591	#388	C₂²×C₁₃₉	1	2	yes	complemented
592	#388	C₂²×C₁₃₉	1	2	yes	complemented
593	#387	C₂²×C₁₃₉	1	2	yes	complemented
594	#387	C₂²×C₁₃₉	1	2	yes	complemented
595	#386	C₂²×C₁₃₉	1	2	yes	—
596	#386	C₂²×C₁₃₉	1	2	yes	—
597	#386	C₂²×C₁₃₉	1	2	yes	—
598	#386	C₂²×C₁₃₉	1	2	yes	—
599	#386	C₂²×C₁₃₉	1	2	yes	—
600	#386	C₂²×C₁₃₉	1	2	yes	—
601	#385	C₂²×C₁₃₉	1	2	yes	complemented
602	#385	C₂²×C₁₃₉	1	2	yes	complemented
603	#385	C₂²×C₁₃₉	1	2	yes	complemented
604	#385	C₂²×C₁₃₉	1	2	yes	complemented
605	#385	C₂²×C₁₃₉	1	2	yes	complemented
606	#385	C₂²×C₁₃₉	1	2	yes	complemented
607	#384	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
608	#383	C₂²×C₁₃₉	1	2	yes	complemented
609	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
610	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
611	#380	C₂²×C₁₃₉	1	1	yes	characteristic
612	#380	C₂²×C₁₃₉	1	1	yes	characteristic
613	#380	C₂²×C₁₃₉	1	1	yes	characteristic
614	#380	C₂²×C₁₃₉	1	2	yes	complemented
615	#380	C₂²×C₁₃₉	1	2	yes	complemented
616	#380	C₂²×C₁₃₉	1	2	yes	complemented
617	#379	C₂²×C₁₃₉	1	2	yes	—
618	#379	C₂²×C₁₃₉	1	2	yes	—
619	#379	C₂²×C₁₃₉	1	2	yes	—
620	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
621	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
622	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
623	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
624	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
625	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
626	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
627	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
628	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
629	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
630	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
631	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
632	#376	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
633	C₂×#95	C₂²×C₁₃₉	1	2	yes	complemented
634	C₂×#95	C₂²×C₁₃₉	1	2	yes	complemented
635	C₂×#95	C₂²×C₁₃₉	1	2	yes	complemented
636	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
637	C₂²×D₄	—	2	4	no	—
638	C₂²×D₄	—	2	4	no	—
639	C₂²×D₄	—	2	4	no	—
640	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
641	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
642	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
643	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
644	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
645	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
646	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
647	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
648	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
649	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
650	#126	—	4	4	no	—
651	#126	—	4	4	no	—
652	C₄×D₄	—	2	4	no	—
653	C₄×D₄	—	2	4	no	—
654	C₄×D₄	—	2	4	no	—
655	C₄×D₄	—	2	4	no	—
656	C₄×D₄	—	2	4	no	—
657	C₄×D₄	—	2	4	no	—
658	C₂×C₄⋊C₄	—	4	4	no	—
659	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
660	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
661	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
662	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
663	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
664	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
665	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
666	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
667	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
668	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
669	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
670	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
671	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
672	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
673	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
674	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
675	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
676	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
677	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
678	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
679	C₂×C₂²⋊C₄	—	4	4	no	—
680	C₂×C₂²⋊C₄	—	4	4	no	—
681	C₂×C₂²⋊C₄	—	4	4	no	—
682	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
683	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
684	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
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	2	yes	—
694	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
695	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
696	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
697	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
698	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
699	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
700	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
701	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
702	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
703	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
704	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
705	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
706	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
707	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
708	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
709	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
710	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
711	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
712	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
713	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
714	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
715	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
716	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
717	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
718	#95	C₂³×C₁₃₉	1	1	yes	characteristic
719	#95	C₂³×C₁₃₉	1	1	yes	characteristic
720	#95	C₂³×C₁₃₉	1	1	yes	characteristic
721	#95	C₂³×C₁₃₉	1	2	yes	—
722	#95	C₂³×C₁₃₉	1	2	yes	—
723	#95	C₂³×C₁₃₉	1	2	yes	—
724	#95	C₂³×C₁₃₉	1	2	yes	—
725	#95	C₂³×C₁₃₉	1	2	yes	—
726	#95	C₂³×C₁₃₉	1	2	yes	—
727	#95	C₂³×C₁₃₉	1	2	yes	—
728	#95	C₂³×C₁₃₉	1	2	yes	—
729	#95	C₂³×C₁₃₉	1	2	yes	—
730	#95	C₂³×C₁₃₉	1	1	yes	characteristic
731	#95	C₂³×C₁₃₉	1	1	yes	characteristic
732	#95	C₂³×C₁₃₉	1	1	yes	characteristic
733	#95	C₂³×C₁₃₉	1	1	yes	characteristic
734	#95	C₂³×C₁₃₉	1	1	yes	characteristic
735	#95	C₂³×C₁₃₉	1	1	yes	characteristic
736	#95	C₂³×C₁₃₉	1	1	yes	characteristic
737	#95	C₂³×C₁₃₉	1	1	yes	characteristic
738	#95	C₂³×C₁₃₉	1	1	yes	characteristic
739	#95	C₂³×C₁₃₉	1	1	yes	characteristic
740	#95	C₂³×C₁₃₉	1	1	yes	characteristic
741	#95	C₂³×C₁₃₉	1	1	yes	characteristic
742	#95	C₂³×C₁₃₉	1	1	yes	characteristic
743	#95	C₂³×C₁₃₉	1	2	yes	—
744	#95	C₂³×C₁₃₉	1	2	yes	—
745	#95	C₂³×C₁₃₉	1	2	yes	—
746	#95	C₂³×C₁₃₉	1	2	yes	—
747	#95	C₂³×C₁₃₉	1	2	yes	—
748	#95	C₂³×C₁₃₉	1	2	yes	—
749	#95	C₂³×C₁₃₉	1	2	yes	—
750	C₂⁴	—	2	4	no	—
751	C₂⁴	—	2	4	no	—
752	C₂⁴	—	2	4	no	—
753	C₂⁴	—	2	4	no	—
754	C₂⁴	—	4	2	no	—
755	C₂⁴	—	4	2	no	—
756	C₂⁴	—	4	2	no	—
757	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
758	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
759	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
760	C₂×D₄	—	2	4	no	—
761	C₂×D₄	—	2	4	no	—
762	C₂×D₄	—	2	4	no	—
763	C₂×D₄	—	2	2	no	—
764	C₂×D₄	—	2	2	no	—
765	C₂×D₄	—	2	2	no	—
766	C₂×D₄	—	4	16	no	—
767	C₂×D₄	#41×C₁₃₉	1	4	yes	—
768	C₂×D₄	#41×C₁₃₉	1	4	yes	—
769	C₂×D₄	#41×C₁₃₉	1	4	yes	—
770	C₂²×C₄	—	2	4	no	—
771	C₂²×C₄	—	2	4	no	—
772	C₂²×C₄	—	2	4	no	—
773	C₂²×C₄	—	2	4	no	—
774	C₂²×C₄	—	2	4	no	—
775	C₂²×C₄	—	2	4	no	—
776	C₂²×C₄	—	2	2	no	—
777	C₂²×C₄	—	2	2	no	—
778	C₂²×C₄	—	2	2	no	—
779	C₂²×C₄	—	2	4	no	—
780	C₂²×C₄	—	4	2	no	—
781	C₂²×C₄	—	4	2	no	—
782	C₂²×C₄	—	4	2	no	—
783	C₂²×C₄	—	4	2	no	—
784	C₂²×C₄	—	4	2	no	—
785	C₂²×C₄	—	4	2	no	—
786	C₂²×C₄	—	4	2	no	—
787	C₂²×C₄	—	4	2	no	—
788	C₂²×C₄	—	4	2	no	—
789	C₂²×C₄	—	4	2	no	—
790	C₂²×C₄	—	4	2	no	—
791	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
792	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
793	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
794	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
795	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
796	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
797	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
798	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
799	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
800	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
801	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
802	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
803	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
804	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
805	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
806	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
807	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
808	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
809	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
810	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
811	C₄⋊C₄	—	2	2	no	—
812	C₄⋊C₄	—	2	2	no	—
813	C₄⋊C₄	—	2	2	no	—
814	C₄⋊C₄	—	2	2	no	—
815	C₄⋊C₄	—	2	2	no	—
816	C₄⋊C₄	—	2	2	no	—
817	C₄⋊C₄	—	2	2	no	—
818	C₄⋊C₄	—	2	4	no	—
819	C₄⋊C₄	—	2	2	no	—
820	C₄⋊C₄	—	4	2	no	—
821	C₄⋊C₄	—	4	2	no	—
822	C₄⋊C₄	—	4	1	no	—
823	C₄⋊C₄	—	4	1	no	—
824	C₄⋊C₄	—	4	1	no	—
825	C₄⋊C₄	—	4	1	no	—
826	C₄⋊C₄	—	4	2	no	—
827	C₄⋊C₄	—	4	2	no	—
828	C₄⋊C₄	—	4	2	no	—
829	C₄⋊C₄	—	4	2	no	—
830	C₄⋊C₄	—	4	2	no	—
831	C₂²⋊C₄	—	2	4	no	—
832	C₂²⋊C₄	—	2	4	no	—
833	C₂²⋊C₄	—	2	4	no	—
834	C₂²⋊C₄	—	2	4	no	—
835	C₂²⋊C₄	—	2	4	no	—
836	C₂²⋊C₄	—	2	4	no	—
837	C₂²⋊C₄	—	2	2	no	—
838	C₂²⋊C₄	—	2	2	no	—
839	C₂²⋊C₄	—	2	4	no	—
840	C₂²⋊C₄	—	2	4	no	—
841	C₂²⋊C₄	—	2	2	no	—
842	C₂²⋊C₄	—	2	2	no	—
843	C₂²⋊C₄	—	2	4	no	—
844	C₂²⋊C₄	—	4	2	no	—
845	C₂²⋊C₄	—	4	2	no	—
846	C₂²⋊C₄	—	4	2	no	—
847	C₂²⋊C₄	—	4	2	no	—
848	C₂²⋊C₄	—	4	2	no	—
849	C₂²⋊C₄	—	4	2	no	—
850	C₂²⋊C₄	—	4	1	no	—
851	C₂²⋊C₄	—	4	2	no	—
852	C₂²⋊C₄	—	4	2	no	—
853	C₂²⋊C₄	—	4	2	no	—
854	C₂²⋊C₄	—	4	2	no	—
855	C₂²⋊C₄	—	4	1	no	—
856	C₂²⋊C₄	—	4	2	no	—
857	C₂²⋊C₄	—	4	2	no	—
858	C₄²	—	2	2	no	—
859	C₄²	—	2	2	no	—
860	C₄²	—	2	2	no	—
861	C₄²	—	2	2	no	—
862	C₄²	—	2	2	no	—
863	C₄²	—	2	2	no	—
864	C₄²	—	4	2	no	—
865	C₄²	—	4	2	no	—
866	C₄²	—	4	2	no	—
867	C₂³	—	2	2	no	—
868	C₂³	—	2	2	no	—
869	C₂³	—	2	2	no	—
870	C₂³	—	2	2	no	—
871	C₂³	—	2	1	no	—
872	C₂³	—	2	1	no	—
873	C₂³	—	2	1	no	—
874	C₂³	—	2	1	no	—
875	C₂³	—	2	1	no	—
876	C₂³	—	2	1	no	—
877	C₂³	—	2	2	no	—
878	C₂³	—	2	2	no	—
879	C₂³	—	2	2	no	—
880	C₂³	—	2	2	no	—
881	C₂³	—	2	2	no	—
882	C₂³	—	2	2	no	—
883	C₂³	—	2	2	no	—
884	C₂³	—	4	8	no	—
885	C₂³	—	4	8	no	—
886	C₂³	—	4	8	no	—
887	C₂³	—	4	8	no	—
888	C₂³	—	8	4	no	—
889	C₂³	—	8	4	no	—
890	C₂³	—	8	4	no	—
891	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
892	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
893	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
894	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
895	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
896	D₄	—	4	8	no	—
897	D₄	—	4	4	no	—
898	D₄	#126×C₁₃₉	1	16	yes	complemented
899	C₂×C₄	—	2	1	no	—
900	C₂×C₄	—	2	1	no	—
901	C₂×C₄	—	2	1	no	—
902	C₂×C₄	—	2	1	no	—
903	C₂×C₄	—	2	1	no	—
904	C₂×C₄	—	2	1	no	—
905	C₂×C₄	—	2	1	no	—
906	C₂×C₄	—	2	1	no	—
907	C₂×C₄	—	2	1	no	—
908	C₂×C₄	—	2	1	no	—
909	C₂×C₄	—	2	1	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	1	no	—
919	C₂×C₄	—	2	1	no	—
920	C₂×C₄	—	2	1	no	—
921	C₂×C₄	—	2	1	no	—
922	C₂×C₄	—	2	1	no	—
923	C₂×C₄	—	2	2	no	—
924	C₂×C₄	—	2	2	no	—
925	C₂×C₄	—	2	2	no	—
926	C₂×C₄	—	2	2	no	—
927	C₂×C₄	—	2	1	no	—
928	C₂×C₄	—	2	1	no	—
929	C₂×C₄	—	2	1	no	—
930	C₂×C₄	—	2	1	no	—
931	C₂×C₄	—	2	1	no	—
932	C₂×C₄	—	2	2	no	—
933	C₂×C₄	—	2	2	no	—
934	C₂×C₄	—	2	1	no	—
935	C₂×C₄	—	2	1	no	—
936	C₂×C₄	—	2	2	no	—
937	C₂×C₄	—	2	2	no	—
938	C₂×C₄	—	2	1	no	—
939	C₂×C₄	—	2	1	no	—
940	C₂×C₄	—	2	1	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	1	no	—
944	C₂×C₄	—	2	1	no	—
945	C₂×C₄	—	2	1	no	—
946	C₂×C₄	—	2	1	no	—
947	C₂×C₄	—	2	1	no	—
948	C₂×C₄	—	2	1	no	—
949	C₂×C₄	—	2	1	no	—
950	C₂×C₄	—	2	2	no	—
951	C₂×C₄	—	2	2	no	—
952	C₂×C₄	—	2	1	no	—
953	C₂×C₄	—	2	1	no	—
954	C₂×C₄	—	2	1	no	—
955	C₂×C₄	—	4	8	no	—
956	C₂×C₄	—	4	4	no	—
957	C₂×C₄	—	8	4	no	—
958	C₂×C₄	—	8	4	no	—
959	C₂×C₄	—	8	4	no	—
960	C₂×C₄	—	8	4	no	—
961	C₂×C₄	—	8	4	no	—
962	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
963	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
964	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
965	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
966	C₂²	—	2	4	no	—
967	C₂²	—	2	4	no	—
968	C₂²	—	2	4	no	—
969	C₂²	—	2	4	no	—
970	C₂²	—	2	4	no	—
971	C₂²	—	2	4	no	—
972	C₂²	—	2	2	no	—
973	C₂²	—	2	2	no	—
974	C₂²	—	2	2	no	—
975	C₂²	—	4	1	no	—
976	C₂²	—	4	1	no	—
977	C₂²	—	4	1	no	—
978	C₂²	—	4	1	no	—
979	C₂²	—	4	2	no	—
980	C₂²	—	4	2	no	—
981	C₂²	—	4	2	no	—
982	C₂²	—	4	2	no	—
983	C₂²	—	4	2	no	—
984	C₂²	—	4	2	no	—
985	C₂²	—	4	2	no	—
986	C₂²	—	8	16	no	—
987	C₂²	C₂×#126×C₁₃₉	1	8	yes	—
988	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
989	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
990	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
991	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
992	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
993	C₂²	#585×C₁₃₉	1	1	yes	characteristic
994	C₂²	#585×C₁₃₉	1	1	yes	characteristic
995	C₄	—	2	2	no	—
996	C₄	—	4	1	no	—
997	C₄	—	4	2	no	—
998	C₄	—	4	1	no	—
999	C₄	—	4	1	no	—
1000	C₄	—	4	2	no	—
1001	C₄	—	4	2	no	—
1002	C₄	—	4	1	no	—
1003	C₄	—	4	1	no	—
1004	C₄	—	4	1	no	—
1005	C₄	—	4	1	no	—
1006	C₄	—	4	2	no	—
1007	C₄	—	4	1	no	—
1008	C₄	—	4	1	no	—
1009	C₄	—	4	1	no	—
1010	C₄	—	4	2	no	—
1011	C₄	—	4	2	no	—
1012	C₄	—	4	1	no	—
1013	C₄	—	4	1	no	—
1014	C₄	C₂×#126×C₁₃₉	1	4	yes	—
1015	C₂	—	2	8	no	—
1016	C₂	—	4	2	no	—
1017	C₂	—	8	2	no	—
1018	C₂	C₂²×#126×C₁₃₉	1	1	yes	characteristic
1019	C₂	#3513×C₁₃₉	1	1	yes	characteristic
1020	C₂	#3513×C₁₃₉	1	1	yes	characteristic
1021	C₂	#3513×C₁₃₉	1	1	yes	characteristic
1022	C₂	#3514×C₁₃₉	1	1	yes	characteristic
1023	C₂	#3519×C₁₃₉	1	1	yes	characteristic
1024	C₂	#3521×C₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	C₂³×D₄×C₁₃₉	C₂²
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. #2644×C₁₃₉	C₂	semidirect
2. #2643×C₁₃₉	C₂	semidirect
3. #2513×C₁₃₉	C₂	semidirect
4. #2513×C₁₃₉	C₂	semidirect
5. #2512×C₁₃₉	C₂	semidirect
6. #2510×C₁₃₉	C₂	semidirect
7. #2510×C₁₃₉	C₂	semidirect
8. #2496×C₁₃₉	C₂	semidirect
9. #2495×C₁₃₉	C₂	semidirect
10. #2494×C₁₃₉	C₂	semidirect
11. #2481×C₁₃₉	C₂	semidirect
12. #2480×C₁₃₉	C₂	semidirect
13. #2480×C₁₃₉	C₂	semidirect
14. #2480×C₁₃₉	C₂	semidirect
15. #2401×C₁₃₉	C₂	semidirect
16. C₂×#397×C₁₃₉	C₂	semidirect
17. #2349×C₁₃₉	C₂	semidirect
18. #2349×C₁₃₉	C₂	semidirect
19. D₄×C₄⋊C₄×C₁₃₉	C₂	semidirect
23. #2275×C₁₃₉	C₂	semidirect
26. C₂×#126×C₁₃₉	C₂²	semidirect
33. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
37. #401×C₁₃₉	C₂²	semidirect
38. #401×C₁₃₉	C₂²	semidirect
39. #400×C₁₃₉	C₂²	semidirect
40. #400×C₁₃₉	C₂²	semidirect
41. #400×C₁₃₉	C₂²	semidirect
42. #400×C₁₃₉	C₂²	semidirect
43. #400×C₁₃₉	C₂²	semidirect
50. #397×C₁₃₉	C₂²	semidirect
51. #397×C₁₃₉	C₂²	semidirect
52. #397×C₁₃₉	C₂²	semidirect
53. #397×C₁₃₉	C₂²	semidirect
54. #397×C₁₃₉	C₂²	semidirect
55. #397×C₁₃₉	C₂²	semidirect
56. #397×C₁₃₉	C₂²	semidirect
57. #397×C₁₃₉	C₂²	semidirect
59. #396×C₁₃₉	C₂²	semidirect
60. #396×C₁₃₉	C₂²	semidirect
67. #389×C₁₃₉	C₂²	semidirect
68. #389×C₁₃₉	C₂²	semidirect
69. #389×C₁₃₉	C₂²	semidirect
70. #389×C₁₃₉	C₂²	semidirect
71. #389×C₁₃₉	C₂²	semidirect
72. #389×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. #387×C₁₃₉	C₂²	semidirect
81. #387×C₁₃₉	C₂²	semidirect
88. #385×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. #384×C₁₃₉	C₂²	semidirect
95. #383×C₁₃₉	C₂²	semidirect
96. #382×C₁₃₉	C₂²	semidirect
97. #382×C₁₃₉	C₂²	semidirect
101. #380×C₁₃₉	C₂²	semidirect
102. #380×C₁₃₉	C₂²	semidirect
103. #380×C₁₃₉	C₂²	semidirect
107. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
108. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
109. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
110. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
111. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
112. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
116. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
117. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
118. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
119. #376×C₁₃₉	C₂²	semidirect
120. C₂×#95×C₁₃₉	C₂²	semidirect
121. C₂×#95×C₁₃₉	C₂²	semidirect
122. C₂×#95×C₁₃₉	C₂²	semidirect
385. D₄×C₁₃₉	#126	semidirect
512. #35873	C₁₃₉	direct (N × H)
513. C₁₃₉	#35873	direct (N × H)
514. #2644	C₂×C₁₃₉	semidirect
515. #2643	C₂×C₁₃₉	semidirect
516. #2513	C₂×C₁₃₉	semidirect
517. #2513	C₂×C₁₃₉	semidirect
518. #2512	C₂×C₁₃₉	semidirect
519. #2510	C₂×C₁₃₉	semidirect
520. #2510	C₂×C₁₃₉	semidirect
521. #2496	C₂×C₁₃₉	semidirect
522. #2495	C₂×C₁₃₉	semidirect
523. #2494	C₂×C₁₃₉	semidirect
524. #2481	C₂×C₁₃₉	semidirect
525. #2480	C₂×C₁₃₉	semidirect
526. #2480	C₂×C₁₃₉	semidirect
527. #2480	C₂×C₁₃₉	semidirect
528. #2401	C₂×C₁₃₉	semidirect
529. C₂×#397	C₂×C₁₃₉	semidirect
530. #2349	C₂×C₁₃₉	semidirect
531. #2349	C₂×C₁₃₉	semidirect
532. D₄×C₄⋊C₄	C₂×C₁₃₉	semidirect
536. #2275	C₂×C₁₃₉	semidirect
539. C₂×#126	C₂²×C₁₃₉	semidirect
546. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
550. #401	C₂²×C₁₃₉	semidirect
551. #401	C₂²×C₁₃₉	semidirect
552. #400	C₂²×C₁₃₉	semidirect
553. #400	C₂²×C₁₃₉	semidirect
554. #400	C₂²×C₁₃₉	semidirect
555. #400	C₂²×C₁₃₉	semidirect
556. #400	C₂²×C₁₃₉	semidirect
563. #397	C₂²×C₁₃₉	semidirect
564. #397	C₂²×C₁₃₉	semidirect
565. #397	C₂²×C₁₃₉	semidirect
566. #397	C₂²×C₁₃₉	semidirect
567. #397	C₂²×C₁₃₉	semidirect
568. #397	C₂²×C₁₃₉	semidirect
569. #397	C₂²×C₁₃₉	semidirect
570. #397	C₂²×C₁₃₉	semidirect
572. #396	C₂²×C₁₃₉	semidirect
573. #396	C₂²×C₁₃₉	semidirect
580. #389	C₂²×C₁₃₉	semidirect
581. #389	C₂²×C₁₃₉	semidirect
582. #389	C₂²×C₁₃₉	semidirect
583. #389	C₂²×C₁₃₉	semidirect
584. #389	C₂²×C₁₃₉	semidirect
585. #389	C₂²×C₁₃₉	semidirect
588. #388	C₂²×C₁₃₉	semidirect
589. #388	C₂²×C₁₃₉	semidirect
590. #388	C₂²×C₁₃₉	semidirect
591. #388	C₂²×C₁₃₉	semidirect
592. #388	C₂²×C₁₃₉	semidirect
593. #387	C₂²×C₁₃₉	semidirect
594. #387	C₂²×C₁₃₉	semidirect
601. #385	C₂²×C₁₃₉	semidirect
602. #385	C₂²×C₁₃₉	semidirect
603. #385	C₂²×C₁₃₉	semidirect
604. #385	C₂²×C₁₃₉	semidirect
605. #385	C₂²×C₁₃₉	semidirect
606. #385	C₂²×C₁₃₉	semidirect
607. #384	C₂²×C₁₃₉	semidirect
608. #383	C₂²×C₁₃₉	semidirect
609. #382	C₂²×C₁₃₉	semidirect
610. #382	C₂²×C₁₃₉	semidirect
614. #380	C₂²×C₁₃₉	semidirect
615. #380	C₂²×C₁₃₉	semidirect
616. #380	C₂²×C₁₃₉	semidirect
620. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
621. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
622. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
623. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
624. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
625. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
629. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
630. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
631. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
632. #376	C₂²×C₁₃₉	semidirect
633. C₂×#95	C₂²×C₁₃₉	semidirect
634. C₂×#95	C₂²×C₁₃₉	semidirect
635. C₂×#95	C₂²×C₁₃₉	semidirect
898. D₄	#126×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
#2644×C₁₃₉	2
#2643×C₁₃₉	2
#2513×C₁₃₉	2
#2512×C₁₃₉	2
#2510×C₁₃₉	2
#2496×C₁₃₉	2
#2495×C₁₃₉	2
#2494×C₁₃₉	2
#2481×C₁₃₉	2
#2480×C₁₃₉	2
#2401×C₁₃₉	2
C₂×#397×C₁₃₉	2
#2349×C₁₃₉	2
D₄×C₄⋊C₄×C₁₃₉	2
D₄×C₂²⋊C₄×C₁₃₉	2
#2275×C₁₃₉	2
#35873	139

Subgroups — C139×#35873 #48030469

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#35873 #48030469