Subgroups — C₁₃₉×#36363 #48030959

Order 35584.

1918 conjugacy classes of subgroups.

The subgroup lattice has 992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2864×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#2857×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2851×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2586×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2585×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2570×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2550×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2522×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2465×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2450×C₁₃₉	C₂	1	2	yes	maximal
11	#2449×C₁₃₉	C₂	1	2	yes	maximal
12	#2441×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2440×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2440×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2439×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2368×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2360×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	#2352×C₁₃₉	C₂	1	1	yes	maximal, characteristic
19	#2352×C₁₃₉	C₂	1	1	yes	maximal, characteristic
20	C₄×C₄⋊Q₈×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2296×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#389×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄²×D₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic
24	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
25	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂×#125×C₁₃₉	C₂²	1	1	yes	characteristic
27	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
28	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
29	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
30	C₂×C₄×Q₈×C₁₃₉	C₂²	1	2	yes	—
31	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
39	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
41	#400×C₁₃₉	C₂²	1	2	yes	—
42	#399×C₁₃₉	C₂²	1	2	yes	—
43	#398×C₁₃₉	C₂²	1	2	yes	—
44	#398×C₁₃₉	C₂²	1	2	yes	—
45	#398×C₁₃₉	C₂²	1	2	yes	—
46	#398×C₁₃₉	C₂²	1	2	yes	—
47	#396×C₁₃₉	C₂²	1	2	yes	—
48	#396×C₁₃₉	C₂²	1	2	yes	—
49	#395×C₁₃₉	C₂²	1	2	yes	—
50	#395×C₁₃₉	C₂²	1	2	yes	—
51	#395×C₁₃₉	C₂²	1	2	yes	—
52	#393×C₁₃₉	C₂²	1	2	yes	—
53	#391×C₁₃₉	C₂²	1	2	yes	—
54	#391×C₁₃₉	C₂²	1	2	yes	—
55	#391×C₁₃₉	C₂²	1	2	yes	—
56	#391×C₁₃₉	C₂²	1	2	yes	—
57	#389×C₁₃₉	C₂²	1	2	yes	—
58	#389×C₁₃₉	C₂²	1	2	yes	—
59	#389×C₁₃₉	C₂²	1	1	yes	characteristic
60	#389×C₁₃₉	C₂²	1	1	yes	characteristic
61	#389×C₁₃₉	C₂²	1	1	yes	characteristic
62	#389×C₁₃₉	C₂²	1	2	yes	—
63	#389×C₁₃₉	C₂²	1	1	yes	characteristic
64	#389×C₁₃₉	C₂²	1	1	yes	characteristic
65	#389×C₁₃₉	C₂²	1	1	yes	characteristic
66	#389×C₁₃₉	C₂²	1	1	yes	characteristic
67	#389×C₁₃₉	C₂²	1	2	yes	—
68	#389×C₁₃₉	C₂²	1	1	yes	characteristic
69	#389×C₁₃₉	C₂²	1	2	yes	—
70	#389×C₁₃₉	C₂²	1	2	yes	—
71	#389×C₁₃₉	C₂²	1	1	yes	characteristic
72	#389×C₁₃₉	C₂²	1	1	yes	characteristic
73	#388×C₁₃₉	C₂²	1	2	yes	—
74	#388×C₁₃₉	C₂²	1	2	yes	—
75	#387×C₁₃₉	C₂²	1	2	yes	—
76	#387×C₁₃₉	C₂²	1	2	yes	—
77	#387×C₁₃₉	C₂²	1	2	yes	—
78	#387×C₁₃₉	C₂²	1	2	yes	—
79	#387×C₁₃₉	C₂²	1	2	yes	—
80	#387×C₁₃₉	C₂²	1	2	yes	—
81	#387×C₁₃₉	C₂²	1	2	yes	—
82	#387×C₁₃₉	C₂²	1	2	yes	—
83	#387×C₁₃₉	C₂²	1	2	yes	—
84	#387×C₁₃₉	C₂²	1	2	yes	—
85	#387×C₁₃₉	C₂²	1	2	yes	—
86	#387×C₁₃₉	C₂²	1	2	yes	—
87	#386×C₁₃₉	C₂²	1	2	yes	—
88	#386×C₁₃₉	C₂²	1	2	yes	—
89	#385×C₁₃₉	C₂²	1	2	yes	—
90	#385×C₁₃₉	C₂²	1	2	yes	—
91	#385×C₁₃₉	C₂²	1	2	yes	—
92	#385×C₁₃₉	C₂²	1	2	yes	—
93	#385×C₁₃₉	C₂²	1	2	yes	—
94	#385×C₁₃₉	C₂²	1	2	yes	—
95	#384×C₁₃₉	C₂²	1	1	yes	characteristic
96	#384×C₁₃₉	C₂²	1	1	yes	characteristic
97	#382×C₁₃₉	C₂²	1	1	yes	characteristic
98	#382×C₁₃₉	C₂²	1	1	yes	characteristic
99	#382×C₁₃₉	C₂²	1	1	yes	characteristic
100	#380×C₁₃₉	C₂²	1	2	yes	—
101	#380×C₁₃₉	C₂²	1	1	yes	characteristic
102	#380×C₁₃₉	C₂²	1	1	yes	characteristic
103	#380×C₁₃₉	C₂²	1	1	yes	characteristic
104	#380×C₁₃₉	C₂²	1	1	yes	characteristic
105	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
106	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
107	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
108	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
109	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
110	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
111	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
112	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
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	1	yes	characteristic
117	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
118	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
121	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
122	C₄³×C₁₃₉	C₂²	1	1	yes	characteristic
123	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
124	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
125	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
126	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
128	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
129	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
130	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
131	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
132	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
134	C₄⋊Q₈×C₁₃₉	—	2	4	no	—
135	C₄⋊Q₈×C₁₃₉	—	4	2	no	—
136	#125×C₁₃₉	—	4	2	no	—
137	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
138	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
139	C₂²⋊Q₈×C₁₃₉	—	4	4	no	—
140	C₄×Q₈×C₁₃₉	—	4	4	no	—
141	C₄×D₄×C₁₃₉	—	2	4	no	—
142	C₄×D₄×C₁₃₉	—	2	4	no	—
143	C₄×D₄×C₁₃₉	Q₈	1	8	yes	complemented
144	#117×C₁₃₉	—	2	4	no	—
145	#117×C₁₃₉	—	4	2	no	—
146	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
147	C₂×C₄⋊C₄×C₁₃₉	—	4	2	no	—
148	C₂×C₄⋊C₄×C₁₃₉	—	4	4	no	—
149	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
150	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
151	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
152	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
156	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
157	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
158	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
159	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
163	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
164	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
165	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
166	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
167	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
168	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
169	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
170	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
171	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
172	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
173	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
174	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
175	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
176	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
177	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
178	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
179	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
180	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
181	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	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	1	yes	characteristic
189	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
190	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
191	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
192	C₂×C₄²×C₁₃₉	—	4	2	no	—
193	C₂×C₄²×C₁₃₉	—	4	2	no	—
194	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
195	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
196	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
197	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
203	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
204	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
205	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
208	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
209	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
210	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
211	#95×C₁₃₉	C₂³	1	1	yes	characteristic
212	#95×C₁₃₉	C₂³	1	2	yes	—
213	#95×C₁₃₉	C₂³	1	2	yes	—
214	#95×C₁₃₉	C₂³	1	2	yes	—
215	#95×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
221	#95×C₁₃₉	C₂³	1	2	yes	—
222	#95×C₁₃₉	C₂³	1	2	yes	—
223	#95×C₁₃₉	C₂³	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
233	#95×C₁₃₉	C₂³	1	2	yes	—
234	#95×C₁₃₉	C₂³	1	2	yes	—
235	#95×C₁₃₉	C₂³	1	2	yes	—
236	#95×C₁₃₉	C₂³	1	2	yes	—
237	#95×C₁₃₉	C₂³	1	2	yes	—
238	#95×C₁₃₉	C₂³	1	2	yes	—
239	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
240	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
241	C₂×Q₈×C₁₃₉	—	2	4	no	—
242	C₂×Q₈×C₁₃₉	—	2	4	no	—
243	C₂×Q₈×C₁₃₉	—	2	4	no	—
244	C₂×Q₈×C₁₃₉	—	4	2	no	—
245	C₂×Q₈×C₁₃₉	—	4	2	no	—
246	C₂×Q₈×C₁₃₉	—	4	2	no	—
247	C₂×D₄×C₁₃₉	—	2	2	no	—
248	C₂×D₄×C₁₃₉	—	2	2	no	—
249	C₂×D₄×C₁₃₉	C₂×Q₈	1	4	yes	—
250	C₂²×C₄×C₁₃₉	—	2	2	no	—
251	C₂²×C₄×C₁₃₉	—	2	2	no	—
252	C₂²×C₄×C₁₃₉	—	2	2	no	—
253	C₂²×C₄×C₁₃₉	—	2	2	no	—
254	C₂²×C₄×C₁₃₉	—	2	2	no	—
255	C₂²×C₄×C₁₃₉	—	2	2	no	—
256	C₂²×C₄×C₁₃₉	—	2	4	no	—
257	C₂²×C₄×C₁₃₉	—	2	4	no	—
258	C₂²×C₄×C₁₃₉	—	2	4	no	—
259	C₂²×C₄×C₁₃₉	—	2	2	no	—
260	C₂²×C₄×C₁₃₉	—	2	2	no	—
261	C₂²×C₄×C₁₃₉	—	2	2	no	—
262	C₂²×C₄×C₁₃₉	—	2	2	no	—
263	C₂²×C₄×C₁₃₉	—	2	2	no	—
264	C₂²×C₄×C₁₃₉	—	2	2	no	—
265	C₂²×C₄×C₁₃₉	—	4	1	no	—
266	C₂²×C₄×C₁₃₉	—	4	1	no	—
267	C₂²×C₄×C₁₃₉	—	4	1	no	—
268	C₂²×C₄×C₁₃₉	—	4	1	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	C₂×Q₈	1	4	yes	—
273	C₂²×C₄×C₁₃₉	C₂×Q₈	1	4	yes	—
274	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
275	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
276	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
277	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
278	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
279	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
280	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
281	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
282	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
283	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
284	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
289	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
290	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
291	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
292	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
293	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
294	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
295	C₄⋊C₄×C₁₃₉	—	2	4	no	—
296	C₄⋊C₄×C₁₃₉	—	2	2	no	—
297	C₄⋊C₄×C₁₃₉	—	2	2	no	—
298	C₄⋊C₄×C₁₃₉	—	2	2	no	—
299	C₄⋊C₄×C₁₃₉	—	2	2	no	—
300	C₄⋊C₄×C₁₃₉	—	2	4	no	—
301	C₄⋊C₄×C₁₃₉	—	2	4	no	—
302	C₄⋊C₄×C₁₃₉	—	2	4	no	—
303	C₄⋊C₄×C₁₃₉	—	2	4	no	—
304	C₄⋊C₄×C₁₃₉	—	2	4	no	—
305	C₄⋊C₄×C₁₃₉	—	2	4	no	—
306	C₄⋊C₄×C₁₃₉	—	2	4	no	—
307	C₄⋊C₄×C₁₃₉	—	2	2	no	—
308	C₄⋊C₄×C₁₃₉	—	2	2	no	—
309	C₄⋊C₄×C₁₃₉	—	2	4	no	—
310	C₄⋊C₄×C₁₃₉	—	2	4	no	—
311	C₄⋊C₄×C₁₃₉	—	2	2	no	—
312	C₄⋊C₄×C₁₃₉	—	2	2	no	—
313	C₄⋊C₄×C₁₃₉	—	2	4	no	—
314	C₄⋊C₄×C₁₃₉	—	2	2	no	—
315	C₄⋊C₄×C₁₃₉	—	2	4	no	—
316	C₄⋊C₄×C₁₃₉	—	4	2	no	—
317	C₄⋊C₄×C₁₃₉	—	4	2	no	—
318	C₄⋊C₄×C₁₃₉	—	4	2	no	—
319	C₄⋊C₄×C₁₃₉	—	4	2	no	—
320	C₄⋊C₄×C₁₃₉	—	4	2	no	—
321	C₄⋊C₄×C₁₃₉	—	4	2	no	—
322	C₄⋊C₄×C₁₃₉	—	4	2	no	—
323	C₄⋊C₄×C₁₃₉	—	4	2	no	—
324	C₄⋊C₄×C₁₃₉	C₂×Q₈	1	4	yes	—
325	C₄⋊C₄×C₁₃₉	#41	1	4	yes	—
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	—	2	2	no	—
330	C₂²⋊C₄×C₁₃₉	—	2	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	C₂×Q₈	1	4	yes	—
335	C₂²⋊C₄×C₁₃₉	C₂×Q₈	1	4	yes	—
336	C₂²⋊C₄×C₁₃₉	#41	1	4	yes	—
337	C₂²⋊C₄×C₁₃₉	#41	1	4	yes	—
338	C₄²×C₁₃₉	—	2	4	no	—
339	C₄²×C₁₃₉	—	2	2	no	—
340	C₄²×C₁₃₉	—	2	2	no	—
341	C₄²×C₁₃₉	—	2	2	no	—
342	C₄²×C₁₃₉	—	2	2	no	—
343	C₄²×C₁₃₉	—	2	2	no	—
344	C₄²×C₁₃₉	—	2	2	no	—
345	C₄²×C₁₃₉	—	2	2	no	—
346	C₄²×C₁₃₉	—	2	2	no	—
347	C₄²×C₁₃₉	—	4	1	no	—
348	C₄²×C₁₃₉	—	4	1	no	—
349	C₄²×C₁₃₉	—	4	1	no	—
350	C₄²×C₁₃₉	—	4	1	no	—
351	C₄²×C₁₃₉	—	4	2	no	—
352	C₄²×C₁₃₉	—	4	2	no	—
353	C₄²×C₁₃₉	—	4	2	no	—
354	C₄²×C₁₃₉	C₂×Q₈	1	4	yes	—
355	C₂³×C₁₃₉	—	2	1	no	—
356	C₂³×C₁₃₉	—	2	1	no	—
357	C₂³×C₁₃₉	—	2	1	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	1	no	—
365	C₂³×C₁₃₉	C₂²×Q₈	1	2	yes	—
366	C₂³×C₁₃₉	C₂²×Q₈	1	2	yes	—
367	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
368	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
369	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
370	Q₈×C₁₃₉	—	4	8	no	—
371	Q₈×C₁₃₉	—	8	4	no	—
372	D₄×C₁₃₉	—	2	8	no	—
373	C₂×C₄×C₁₃₉	—	2	1	no	—
374	C₂×C₄×C₁₃₉	—	2	1	no	—
375	C₂×C₄×C₁₃₉	—	2	1	no	—
376	C₂×C₄×C₁₃₉	—	2	1	no	—
377	C₂×C₄×C₁₃₉	—	2	1	no	—
378	C₂×C₄×C₁₃₉	—	2	1	no	—
379	C₂×C₄×C₁₃₉	—	2	1	no	—
380	C₂×C₄×C₁₃₉	—	2	1	no	—
381	C₂×C₄×C₁₃₉	—	2	2	no	—
382	C₂×C₄×C₁₃₉	—	2	1	no	—
383	C₂×C₄×C₁₃₉	—	2	1	no	—
384	C₂×C₄×C₁₃₉	—	2	1	no	—
385	C₂×C₄×C₁₃₉	—	2	1	no	—
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	2	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	8	no	—
396	C₂×C₄×C₁₃₉	—	2	8	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	1	no	—
401	C₂×C₄×C₁₃₉	—	2	1	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	1	no	—
410	C₂×C₄×C₁₃₉	—	2	1	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	2	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	1	no	—
421	C₂×C₄×C₁₃₉	—	2	2	no	—
422	C₂×C₄×C₁₃₉	—	2	2	no	—
423	C₂×C₄×C₁₃₉	—	2	1	no	—
424	C₂×C₄×C₁₃₉	—	4	4	no	—
425	C₂×C₄×C₁₃₉	—	4	4	no	—
426	C₂×C₄×C₁₃₉	—	4	8	no	—
427	C₂×C₄×C₁₃₉	—	4	4	no	—
428	C₂×C₄×C₁₃₉	—	4	4	no	—
429	C₂×C₄×C₁₃₉	—	8	4	no	—
430	C₂×C₄×C₁₃₉	C₂²×Q₈	1	2	yes	—
431	C₂×C₄×C₁₃₉	C₂²×Q₈	1	2	yes	—
432	C₂×C₄×C₁₃₉	C₂²×Q₈	1	2	yes	—
433	C₂×C₄×C₁₃₉	C₂²×Q₈	1	2	yes	—
434	C₂×C₄×C₁₃₉	C₂²×Q₈	1	2	yes	—
435	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
436	C₂×C₄×C₁₃₉	C₂×#41	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	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
441	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
442	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
443	C₂×C₄×C₁₃₉	2₋¹⁺⁴	1	2	yes	—
444	C₂²×C₁₃₉	—	2	2	no	—
445	C₂²×C₁₃₉	—	2	2	no	—
446	C₂²×C₁₃₉	—	2	2	no	—
447	C₂²×C₁₃₉	—	2	2	no	—
448	C₂²×C₁₃₉	—	2	2	no	—
449	C₂²×C₁₃₉	—	2	2	no	—
450	C₂²×C₁₃₉	—	2	2	no	—
451	C₂²×C₁₃₉	—	2	2	no	—
452	C₂²×C₁₃₉	—	2	2	no	—
453	C₂²×C₁₃₉	—	4	1	no	—
454	C₂²×C₁₃₉	—	4	1	no	—
455	C₂²×C₁₃₉	—	4	1	no	—
456	C₂²×C₁₃₉	—	4	1	no	—
457	C₂²×C₁₃₉	#533	1	4	yes	—
458	C₂²×C₁₃₉	C₂³×Q₈	1	1	yes	characteristic
459	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
460	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
461	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
462	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
463	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
464	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
465	C₄×C₁₃₉	—	2	2	no	—
466	C₄×C₁₃₉	—	2	2	no	—
467	C₄×C₁₃₉	—	2	2	no	—
468	C₄×C₁₃₉	—	2	4	no	—
469	C₄×C₁₃₉	—	2	2	no	—
470	C₄×C₁₃₉	—	2	2	no	—
471	C₄×C₁₃₉	—	2	2	no	—
472	C₄×C₁₃₉	—	2	2	no	—
473	C₄×C₁₃₉	—	2	2	no	—
474	C₄×C₁₃₉	—	2	2	no	—
475	C₄×C₁₃₉	—	2	2	no	—
476	C₄×C₁₃₉	—	4	2	no	—
477	C₄×C₁₃₉	—	4	2	no	—
478	C₄×C₁₃₉	—	4	2	no	—
479	C₄×C₁₃₉	—	4	1	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	#554	1	4	yes	—
486	C₂×C₁₃₉	—	2	4	no	—
487	C₂×C₁₃₉	—	4	2	no	—
488	C₂×C₁₃₉	C₂×#533	1	1	yes	characteristic
489	C₂×C₁₃₉	C₂×#554	1	1	yes	characteristic
490	C₂×C₁₃₉	#3481	1	1	yes	characteristic
491	C₂×C₁₃₉	#3482	1	1	yes	characteristic
492	C₂×C₁₃₉	#3503	1	1	yes	characteristic
493	C₂×C₁₃₉	#3519	1	1	yes	characteristic
494	C₂×C₁₃₉	#3520	1	1	yes	characteristic
495	#36363	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
496	C₁₃₉	#36363	1	1	yes	characteristic, direct product factor, Sylow
497	#2864	C₂×C₁₃₉	1	1	yes	characteristic, complemented
498	#2857	C₂×C₁₃₉	1	1	yes	characteristic, complemented
499	#2851	C₂×C₁₃₉	1	1	yes	characteristic, complemented
500	#2586	C₂×C₁₃₉	1	2	yes	complemented
501	#2585	C₂×C₁₃₉	1	2	yes	complemented
502	#2570	C₂×C₁₃₉	1	1	yes	characteristic, complemented
503	#2550	C₂×C₁₃₉	1	1	yes	characteristic, complemented
504	#2522	C₂×C₁₃₉	1	2	yes	complemented
505	#2465	C₂×C₁₃₉	1	2	yes	complemented
506	#2450	C₂×C₁₃₉	1	2	yes	—
507	#2449	C₂×C₁₃₉	1	2	yes	—
508	#2441	C₂×C₁₃₉	1	1	yes	characteristic, complemented
509	#2440	C₂×C₁₃₉	1	1	yes	characteristic, complemented
510	#2440	C₂×C₁₃₉	1	1	yes	characteristic, complemented
511	#2439	C₂×C₁₃₉	1	1	yes	characteristic, complemented
512	#2368	C₂×C₁₃₉	1	2	yes	complemented
513	#2360	C₂×C₁₃₉	1	2	yes	complemented
514	#2352	C₂×C₁₃₉	1	1	yes	characteristic
515	#2352	C₂×C₁₃₉	1	1	yes	characteristic
516	C₄×C₄⋊Q₈	C₂×C₁₃₉	1	1	yes	characteristic, complemented
517	#2296	C₂×C₁₃₉	1	1	yes	characteristic, complemented
518	C₂×#389	C₂×C₁₃₉	1	1	yes	characteristic, complemented
519	C₄²×D₄	C₂×C₁₃₉	1	1	yes	characteristic
520	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
521	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
522	C₂×#125	C₂²×C₁₃₉	1	1	yes	characteristic
523	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
524	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
525	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
526	C₂×C₄×Q₈	C₂²×C₁₃₉	1	2	yes	—
527	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
528	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
529	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
530	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
531	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
532	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
533	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
534	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
535	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
536	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
537	#400	C₂²×C₁₃₉	1	2	yes	—
538	#399	C₂²×C₁₃₉	1	2	yes	—
539	#398	C₂²×C₁₃₉	1	2	yes	—
540	#398	C₂²×C₁₃₉	1	2	yes	—
541	#398	C₂²×C₁₃₉	1	2	yes	—
542	#398	C₂²×C₁₃₉	1	2	yes	—
543	#396	C₂²×C₁₃₉	1	2	yes	—
544	#396	C₂²×C₁₃₉	1	2	yes	—
545	#395	C₂²×C₁₃₉	1	2	yes	—
546	#395	C₂²×C₁₃₉	1	2	yes	—
547	#395	C₂²×C₁₃₉	1	2	yes	—
548	#393	C₂²×C₁₃₉	1	2	yes	—
549	#391	C₂²×C₁₃₉	1	2	yes	—
550	#391	C₂²×C₁₃₉	1	2	yes	—
551	#391	C₂²×C₁₃₉	1	2	yes	—
552	#391	C₂²×C₁₃₉	1	2	yes	—
553	#389	C₂²×C₁₃₉	1	2	yes	—
554	#389	C₂²×C₁₃₉	1	1	yes	characteristic
555	#389	C₂²×C₁₃₉	1	1	yes	characteristic
556	#389	C₂²×C₁₃₉	1	1	yes	characteristic
557	#389	C₂²×C₁₃₉	1	1	yes	characteristic
558	#389	C₂²×C₁₃₉	1	2	yes	—
559	#389	C₂²×C₁₃₉	1	2	yes	—
560	#389	C₂²×C₁₃₉	1	2	yes	—
561	#389	C₂²×C₁₃₉	1	2	yes	—
562	#389	C₂²×C₁₃₉	1	1	yes	characteristic
563	#389	C₂²×C₁₃₉	1	1	yes	characteristic
564	#389	C₂²×C₁₃₉	1	1	yes	characteristic
565	#389	C₂²×C₁₃₉	1	1	yes	characteristic
566	#389	C₂²×C₁₃₉	1	2	yes	—
567	#389	C₂²×C₁₃₉	1	1	yes	characteristic
568	#389	C₂²×C₁₃₉	1	1	yes	characteristic
569	#388	C₂²×C₁₃₉	1	2	yes	—
570	#388	C₂²×C₁₃₉	1	2	yes	—
571	#387	C₂²×C₁₃₉	1	2	yes	—
572	#387	C₂²×C₁₃₉	1	2	yes	—
573	#387	C₂²×C₁₃₉	1	2	yes	—
574	#387	C₂²×C₁₃₉	1	2	yes	—
575	#387	C₂²×C₁₃₉	1	2	yes	—
576	#387	C₂²×C₁₃₉	1	2	yes	—
577	#387	C₂²×C₁₃₉	1	2	yes	—
578	#387	C₂²×C₁₃₉	1	2	yes	—
579	#387	C₂²×C₁₃₉	1	2	yes	—
580	#387	C₂²×C₁₃₉	1	2	yes	—
581	#387	C₂²×C₁₃₉	1	2	yes	—
582	#387	C₂²×C₁₃₉	1	2	yes	—
583	#386	C₂²×C₁₃₉	1	2	yes	—
584	#386	C₂²×C₁₃₉	1	2	yes	—
585	#385	C₂²×C₁₃₉	1	2	yes	—
586	#385	C₂²×C₁₃₉	1	2	yes	—
587	#385	C₂²×C₁₃₉	1	2	yes	—
588	#385	C₂²×C₁₃₉	1	2	yes	—
589	#385	C₂²×C₁₃₉	1	2	yes	—
590	#385	C₂²×C₁₃₉	1	2	yes	—
591	#384	C₂²×C₁₃₉	1	1	yes	characteristic
592	#384	C₂²×C₁₃₉	1	1	yes	characteristic
593	#382	C₂²×C₁₃₉	1	1	yes	characteristic
594	#382	C₂²×C₁₃₉	1	1	yes	characteristic
595	#382	C₂²×C₁₃₉	1	1	yes	characteristic
596	#380	C₂²×C₁₃₉	1	1	yes	characteristic
597	#380	C₂²×C₁₃₉	1	1	yes	characteristic
598	#380	C₂²×C₁₃₉	1	1	yes	characteristic
599	#380	C₂²×C₁₃₉	1	1	yes	characteristic
600	#380	C₂²×C₁₃₉	1	2	yes	—
601	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
602	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
603	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
604	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
605	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
606	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
607	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
608	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
609	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
610	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
611	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
612	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
613	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
614	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
615	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
616	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
617	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
618	C₄³	C₂²×C₁₃₉	1	1	yes	characteristic
619	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
620	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
621	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
622	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
623	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
624	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
625	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
626	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
627	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
628	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
629	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
630	C₄⋊Q₈	—	2	4	no	—
631	C₄⋊Q₈	—	4	2	no	—
632	#125	—	4	2	no	—
633	C₂²⋊Q₈	—	2	8	no	—
634	C₂²⋊Q₈	—	2	8	no	—
635	C₂²⋊Q₈	—	4	4	no	—
636	C₄×Q₈	—	4	4	no	—
637	C₄×D₄	—	2	4	no	—
638	C₄×D₄	—	2	4	no	—
639	C₄×D₄	Q₈×C₁₃₉	1	8	yes	complemented
640	#117	—	2	4	no	—
641	#117	—	4	2	no	—
642	C₂×C₄⋊C₄	—	2	4	no	—
643	C₂×C₄⋊C₄	—	4	2	no	—
644	C₂×C₄⋊C₄	—	4	4	no	—
645	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
647	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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	1	yes	characteristic
652	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
653	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
654	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
655	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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×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	2	yes	—
665	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
666	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
667	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
677	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
678	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
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	1	yes	characteristic
685	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
686	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
687	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
688	C₂×C₄²	—	4	2	no	—
689	C₂×C₄²	—	4	2	no	—
690	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
691	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
692	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
693	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
694	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
695	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
696	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
697	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
698	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
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	1	yes	characteristic
703	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
704	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
705	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
706	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
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	1	yes	characteristic
712	#95	C₂³×C₁₃₉	1	1	yes	characteristic
713	#95	C₂³×C₁₃₉	1	1	yes	characteristic
714	#95	C₂³×C₁₃₉	1	1	yes	characteristic
715	#95	C₂³×C₁₃₉	1	1	yes	characteristic
716	#95	C₂³×C₁₃₉	1	1	yes	characteristic
717	#95	C₂³×C₁₃₉	1	2	yes	—
718	#95	C₂³×C₁₃₉	1	2	yes	—
719	#95	C₂³×C₁₃₉	1	2	yes	—
720	#95	C₂³×C₁₃₉	1	2	yes	—
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	2	yes	—
731	#95	C₂³×C₁₃₉	1	2	yes	—
732	#95	C₂³×C₁₃₉	1	2	yes	—
733	#95	C₂³×C₁₃₉	1	2	yes	—
734	#95	C₂³×C₁₃₉	1	2	yes	—
735	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
736	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
737	C₂×Q₈	—	2	4	no	—
738	C₂×Q₈	—	2	4	no	—
739	C₂×Q₈	—	2	4	no	—
740	C₂×Q₈	—	4	2	no	—
741	C₂×Q₈	—	4	2	no	—
742	C₂×Q₈	—	4	2	no	—
743	C₂×D₄	—	2	2	no	—
744	C₂×D₄	—	2	2	no	—
745	C₂×D₄	C₂×Q₈×C₁₃₉	1	4	yes	—
746	C₂²×C₄	—	2	2	no	—
747	C₂²×C₄	—	2	2	no	—
748	C₂²×C₄	—	2	2	no	—
749	C₂²×C₄	—	2	2	no	—
750	C₂²×C₄	—	2	2	no	—
751	C₂²×C₄	—	2	2	no	—
752	C₂²×C₄	—	2	4	no	—
753	C₂²×C₄	—	2	4	no	—
754	C₂²×C₄	—	2	4	no	—
755	C₂²×C₄	—	2	2	no	—
756	C₂²×C₄	—	2	2	no	—
757	C₂²×C₄	—	2	2	no	—
758	C₂²×C₄	—	2	2	no	—
759	C₂²×C₄	—	2	2	no	—
760	C₂²×C₄	—	2	2	no	—
761	C₂²×C₄	—	4	1	no	—
762	C₂²×C₄	—	4	1	no	—
763	C₂²×C₄	—	4	1	no	—
764	C₂²×C₄	—	4	1	no	—
765	C₂²×C₄	—	4	2	no	—
766	C₂²×C₄	—	4	2	no	—
767	C₂²×C₄	—	4	2	no	—
768	C₂²×C₄	C₂×Q₈×C₁₃₉	1	4	yes	—
769	C₂²×C₄	C₂×Q₈×C₁₃₉	1	4	yes	—
770	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
771	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
772	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
773	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
774	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
775	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
776	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
777	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
778	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
779	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
780	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
781	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
782	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
783	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
784	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
785	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
786	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
787	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
788	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
789	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
790	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
791	C₄⋊C₄	—	2	4	no	—
792	C₄⋊C₄	—	2	2	no	—
793	C₄⋊C₄	—	2	2	no	—
794	C₄⋊C₄	—	2	2	no	—
795	C₄⋊C₄	—	2	2	no	—
796	C₄⋊C₄	—	2	4	no	—
797	C₄⋊C₄	—	2	4	no	—
798	C₄⋊C₄	—	2	4	no	—
799	C₄⋊C₄	—	2	4	no	—
800	C₄⋊C₄	—	2	4	no	—
801	C₄⋊C₄	—	2	4	no	—
802	C₄⋊C₄	—	2	4	no	—
803	C₄⋊C₄	—	2	2	no	—
804	C₄⋊C₄	—	2	2	no	—
805	C₄⋊C₄	—	2	4	no	—
806	C₄⋊C₄	—	2	4	no	—
807	C₄⋊C₄	—	2	2	no	—
808	C₄⋊C₄	—	2	2	no	—
809	C₄⋊C₄	—	2	4	no	—
810	C₄⋊C₄	—	2	2	no	—
811	C₄⋊C₄	—	2	4	no	—
812	C₄⋊C₄	—	4	2	no	—
813	C₄⋊C₄	—	4	2	no	—
814	C₄⋊C₄	—	4	2	no	—
815	C₄⋊C₄	—	4	2	no	—
816	C₄⋊C₄	—	4	2	no	—
817	C₄⋊C₄	—	4	2	no	—
818	C₄⋊C₄	—	4	2	no	—
819	C₄⋊C₄	—	4	2	no	—
820	C₄⋊C₄	C₂×Q₈×C₁₃₉	1	4	yes	—
821	C₄⋊C₄	#41×C₁₃₉	1	4	yes	—
822	C₂²⋊C₄	—	2	4	no	—
823	C₂²⋊C₄	—	2	4	no	—
824	C₂²⋊C₄	—	2	4	no	—
825	C₂²⋊C₄	—	2	2	no	—
826	C₂²⋊C₄	—	2	2	no	—
827	C₂²⋊C₄	—	4	2	no	—
828	C₂²⋊C₄	—	4	2	no	—
829	C₂²⋊C₄	—	4	2	no	—
830	C₂²⋊C₄	C₂×Q₈×C₁₃₉	1	4	yes	—
831	C₂²⋊C₄	C₂×Q₈×C₁₃₉	1	4	yes	—
832	C₂²⋊C₄	#41×C₁₃₉	1	4	yes	—
833	C₂²⋊C₄	#41×C₁₃₉	1	4	yes	—
834	C₄²	—	2	4	no	—
835	C₄²	—	2	2	no	—
836	C₄²	—	2	2	no	—
837	C₄²	—	2	2	no	—
838	C₄²	—	2	2	no	—
839	C₄²	—	2	2	no	—
840	C₄²	—	2	2	no	—
841	C₄²	—	2	2	no	—
842	C₄²	—	2	2	no	—
843	C₄²	—	4	1	no	—
844	C₄²	—	4	1	no	—
845	C₄²	—	4	1	no	—
846	C₄²	—	4	1	no	—
847	C₄²	—	4	2	no	—
848	C₄²	—	4	2	no	—
849	C₄²	—	4	2	no	—
850	C₄²	C₂×Q₈×C₁₃₉	1	4	yes	—
851	C₂³	—	2	1	no	—
852	C₂³	—	2	1	no	—
853	C₂³	—	2	1	no	—
854	C₂³	—	2	1	no	—
855	C₂³	—	2	1	no	—
856	C₂³	—	2	1	no	—
857	C₂³	—	2	1	no	—
858	C₂³	—	2	1	no	—
859	C₂³	—	2	1	no	—
860	C₂³	—	2	1	no	—
861	C₂³	C₂²×Q₈×C₁₃₉	1	2	yes	—
862	C₂³	C₂²×Q₈×C₁₃₉	1	2	yes	—
863	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
864	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
865	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
866	Q₈	—	4	8	no	—
867	Q₈	—	8	4	no	—
868	D₄	—	2	8	no	—
869	C₂×C₄	—	2	1	no	—
870	C₂×C₄	—	2	1	no	—
871	C₂×C₄	—	2	1	no	—
872	C₂×C₄	—	2	1	no	—
873	C₂×C₄	—	2	1	no	—
874	C₂×C₄	—	2	1	no	—
875	C₂×C₄	—	2	1	no	—
876	C₂×C₄	—	2	1	no	—
877	C₂×C₄	—	2	2	no	—
878	C₂×C₄	—	2	1	no	—
879	C₂×C₄	—	2	1	no	—
880	C₂×C₄	—	2	1	no	—
881	C₂×C₄	—	2	1	no	—
882	C₂×C₄	—	2	1	no	—
883	C₂×C₄	—	2	1	no	—
884	C₂×C₄	—	2	1	no	—
885	C₂×C₄	—	2	1	no	—
886	C₂×C₄	—	2	2	no	—
887	C₂×C₄	—	2	1	no	—
888	C₂×C₄	—	2	1	no	—
889	C₂×C₄	—	2	1	no	—
890	C₂×C₄	—	2	1	no	—
891	C₂×C₄	—	2	8	no	—
892	C₂×C₄	—	2	8	no	—
893	C₂×C₄	—	2	2	no	—
894	C₂×C₄	—	2	2	no	—
895	C₂×C₄	—	2	2	no	—
896	C₂×C₄	—	2	1	no	—
897	C₂×C₄	—	2	1	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	1	no	—
906	C₂×C₄	—	2	1	no	—
907	C₂×C₄	—	2	2	no	—
908	C₂×C₄	—	2	2	no	—
909	C₂×C₄	—	2	2	no	—
910	C₂×C₄	—	2	2	no	—
911	C₂×C₄	—	2	2	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	1	no	—
917	C₂×C₄	—	2	2	no	—
918	C₂×C₄	—	2	2	no	—
919	C₂×C₄	—	2	1	no	—
920	C₂×C₄	—	4	4	no	—
921	C₂×C₄	—	4	4	no	—
922	C₂×C₄	—	4	8	no	—
923	C₂×C₄	—	4	4	no	—
924	C₂×C₄	—	4	4	no	—
925	C₂×C₄	—	8	4	no	—
926	C₂×C₄	C₂²×Q₈×C₁₃₉	1	2	yes	—
927	C₂×C₄	C₂²×Q₈×C₁₃₉	1	2	yes	—
928	C₂×C₄	C₂²×Q₈×C₁₃₉	1	2	yes	—
929	C₂×C₄	C₂²×Q₈×C₁₃₉	1	2	yes	—
930	C₂×C₄	C₂²×Q₈×C₁₃₉	1	2	yes	—
931	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
932	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
933	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
934	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
935	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
936	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
937	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
938	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
939	C₂×C₄	2₋¹⁺⁴×C₁₃₉	1	2	yes	—
940	C₂²	—	2	2	no	—
941	C₂²	—	2	2	no	—
942	C₂²	—	2	2	no	—
943	C₂²	—	2	2	no	—
944	C₂²	—	2	2	no	—
945	C₂²	—	2	2	no	—
946	C₂²	—	2	2	no	—
947	C₂²	—	2	2	no	—
948	C₂²	—	2	2	no	—
949	C₂²	—	4	1	no	—
950	C₂²	—	4	1	no	—
951	C₂²	—	4	1	no	—
952	C₂²	—	4	1	no	—
953	C₂²	#533×C₁₃₉	1	4	yes	—
954	C₂²	C₂³×Q₈×C₁₃₉	1	1	yes	characteristic
955	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
956	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
957	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
958	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
959	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
960	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	1	yes	characteristic
961	C₄	—	2	2	no	—
962	C₄	—	2	2	no	—
963	C₄	—	2	2	no	—
964	C₄	—	2	4	no	—
965	C₄	—	2	2	no	—
966	C₄	—	2	2	no	—
967	C₄	—	2	2	no	—
968	C₄	—	2	2	no	—
969	C₄	—	2	2	no	—
970	C₄	—	2	2	no	—
971	C₄	—	2	2	no	—
972	C₄	—	4	2	no	—
973	C₄	—	4	2	no	—
974	C₄	—	4	2	no	—
975	C₄	—	4	1	no	—
976	C₄	—	4	2	no	—
977	C₄	—	4	2	no	—
978	C₄	—	4	2	no	—
979	C₄	—	4	1	no	—
980	C₄	—	4	2	no	—
981	C₄	#554×C₁₃₉	1	4	yes	—
982	C₂	—	2	4	no	—
983	C₂	—	4	2	no	—
984	C₂	C₂×#533×C₁₃₉	1	1	yes	characteristic
985	C₂	C₂×#554×C₁₃₉	1	1	yes	characteristic
986	C₂	#3481×C₁₃₉	1	1	yes	characteristic
987	C₂	#3482×C₁₃₉	1	1	yes	characteristic
988	C₂	#3503×C₁₃₉	1	1	yes	characteristic
989	C₂	#3519×C₁₃₉	1	1	yes	characteristic
990	C₂	#3520×C₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	C₂²×D₄×C₁₃₉	C₂³
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃₉ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #2864×C₁₃₉	C₂	semidirect
2. #2857×C₁₃₉	C₂	semidirect
3. #2851×C₁₃₉	C₂	semidirect
4. #2586×C₁₃₉	C₂	semidirect
5. #2585×C₁₃₉	C₂	semidirect
6. #2570×C₁₃₉	C₂	semidirect
7. #2550×C₁₃₉	C₂	semidirect
8. #2522×C₁₃₉	C₂	semidirect
9. #2465×C₁₃₉	C₂	semidirect
12. #2441×C₁₃₉	C₂	semidirect
13. #2440×C₁₃₉	C₂	semidirect
14. #2440×C₁₃₉	C₂	semidirect
15. #2439×C₁₃₉	C₂	semidirect
16. #2368×C₁₃₉	C₂	semidirect
17. #2360×C₁₃₉	C₂	semidirect
20. C₄×C₄⋊Q₈×C₁₃₉	C₂	semidirect
21. #2296×C₁₃₉	C₂	semidirect
22. C₂×#389×C₁₃₉	C₂	semidirect
143. C₄×D₄×C₁₃₉	Q₈	semidirect
495. #36363	C₁₃₉	direct (N × H)
496. C₁₃₉	#36363	direct (N × H)
497. #2864	C₂×C₁₃₉	semidirect
498. #2857	C₂×C₁₃₉	semidirect
499. #2851	C₂×C₁₃₉	semidirect
500. #2586	C₂×C₁₃₉	semidirect
501. #2585	C₂×C₁₃₉	semidirect
502. #2570	C₂×C₁₃₉	semidirect
503. #2550	C₂×C₁₃₉	semidirect
504. #2522	C₂×C₁₃₉	semidirect
505. #2465	C₂×C₁₃₉	semidirect
508. #2441	C₂×C₁₃₉	semidirect
509. #2440	C₂×C₁₃₉	semidirect
510. #2440	C₂×C₁₃₉	semidirect
511. #2439	C₂×C₁₃₉	semidirect
512. #2368	C₂×C₁₃₉	semidirect
513. #2360	C₂×C₁₃₉	semidirect
516. C₄×C₄⋊Q₈	C₂×C₁₃₉	semidirect
517. #2296	C₂×C₁₃₉	semidirect
518. C₂×#389	C₂×C₁₃₉	semidirect
639. C₄×D₄	Q₈×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
#2864×C₁₃₉	2
#2857×C₁₃₉	2
#2851×C₁₃₉	2
#2586×C₁₃₉	2
#2585×C₁₃₉	2
#2570×C₁₃₉	2
#2550×C₁₃₉	2
#2522×C₁₃₉	2
#2465×C₁₃₉	2
#2450×C₁₃₉	2
#2449×C₁₃₉	2
#2441×C₁₃₉	2
#2440×C₁₃₉	2
#2439×C₁₃₉	2
#2368×C₁₃₉	2
#2360×C₁₃₉	2
#2352×C₁₃₉	2
C₄×C₄⋊Q₈×C₁₃₉	2
#2296×C₁₃₉	2
C₂×#389×C₁₃₉	2
C₄²×D₄×C₁₃₉	2
#36363	139

Subgroups — C139×#36363 #48030959

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36363 #48030959