Subgroups — C₁₃₉×#34333 #48028929

Order 35584.

2288 conjugacy classes of subgroups.

The subgroup lattice has 958 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#554×C₁₃₉	C₂	1	1	yes	maximal, characteristic
2	#2370×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2370×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2368×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2368×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2365×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2360×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2355×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2349×C₁₃₉	C₂	1	1	yes	maximal, characteristic
10	#2349×C₁₃₉	C₂	1	1	yes	maximal, characteristic
11	D₄×C₄⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic
12	#2345×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2331×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2330×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2329×C₁₃₉	C₂	1	2	yes	maximal, complemented
16	#2329×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	C₄×#125×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×C₂²⋊Q₈×C₁₃₉	C₂	1	2	yes	maximal, complemented
19	#2295×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#387×C₁₃₉	C₂	1	2	yes	maximal, complemented
21	#2275×C₁₃₉	C₂	1	1	yes	maximal, characteristic
22	#2275×C₁₃₉	C₂	1	1	yes	maximal, characteristic
23	C₄²×D₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic
24	#554×C₁₃₉	C₄	1	16	yes	complemented
25	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂×#125×C₁₃₉	C₂²	1	1	yes	characteristic
27	C₂×#125×C₁₃₉	C₂²	1	1	yes	characteristic
28	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
29	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
30	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
31	C₂×C₄×Q₈×C₁₃₉	C₂²	1	2	yes	—
32	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
41	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
42	C₂²×C₄²×C₁₃₉	C₂²	1	2	yes	—
43	#391×C₁₃₉	C₂²	1	1	yes	characteristic
44	#391×C₁₃₉	C₂²	1	1	yes	characteristic
45	#391×C₁₃₉	C₂²	1	2	yes	—
46	#391×C₁₃₉	C₂²	1	2	yes	—
47	#391×C₁₃₉	C₂²	1	2	yes	—
48	#391×C₁₃₉	C₂²	1	2	yes	—
49	#389×C₁₃₉	C₂²	1	1	yes	characteristic
50	#389×C₁₃₉	C₂²	1	1	yes	characteristic
51	#389×C₁₃₉	C₂²	1	2	yes	—
52	#389×C₁₃₉	C₂²	1	1	yes	characteristic
53	#389×C₁₃₉	C₂²	1	1	yes	characteristic
54	#389×C₁₃₉	C₂²	1	2	yes	—
55	#389×C₁₃₉	C₂²	1	2	yes	—
56	#389×C₁₃₉	C₂²	1	2	yes	—
57	#389×C₁₃₉	C₂²	1	1	yes	characteristic
58	#389×C₁₃₉	C₂²	1	1	yes	characteristic
59	#389×C₁₃₉	C₂²	1	1	yes	characteristic
60	#389×C₁₃₉	C₂²	1	1	yes	characteristic
61	#387×C₁₃₉	C₂²	1	1	yes	characteristic
62	#387×C₁₃₉	C₂²	1	2	yes	—
63	#387×C₁₃₉	C₂²	1	2	yes	—
64	#387×C₁₃₉	C₂²	1	2	yes	—
65	#387×C₁₃₉	C₂²	1	2	yes	—
66	#387×C₁₃₉	C₂²	1	2	yes	—
67	#387×C₁₃₉	C₂²	1	2	yes	—
68	#387×C₁₃₉	C₂²	1	2	yes	—
69	#387×C₁₃₉	C₂²	1	1	yes	characteristic
70	#387×C₁₃₉	C₂²	1	1	yes	characteristic
71	#387×C₁₃₉	C₂²	1	1	yes	characteristic
72	#387×C₁₃₉	C₂²	1	2	yes	—
73	#387×C₁₃₉	C₂²	1	2	yes	—
74	#387×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	#385×C₁₃₉	C₂²	1	2	yes	—
80	#385×C₁₃₉	C₂²	1	2	yes	—
81	#385×C₁₃₉	C₂²	1	2	yes	—
82	#385×C₁₃₉	C₂²	1	2	yes	—
83	#385×C₁₃₉	C₂²	1	2	yes	—
84	#385×C₁₃₉	C₂²	1	2	yes	—
85	#384×C₁₃₉	C₂²	1	1	yes	characteristic
86	#382×C₁₃₉	C₂²	1	1	yes	characteristic
87	#382×C₁₃₉	C₂²	1	1	yes	characteristic
88	#380×C₁₃₉	C₂²	1	2	yes	—
89	#380×C₁₃₉	C₂²	1	2	yes	—
90	#380×C₁₃₉	C₂²	1	2	yes	—
91	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
92	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
93	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
94	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
95	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
96	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
97	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
98	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
99	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
100	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
101	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
102	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
103	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
104	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
105	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
106	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
107	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
108	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
109	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
110	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
111	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
112	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
113	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
114	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
115	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
116	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
117	#376×C₁₃₉	C₂²	1	1	yes	characteristic
118	#376×C₁₃₉	C₂²	1	1	yes	characteristic
119	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
120	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
121	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
122	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
123	C₄³×C₁₃₉	C₂²	1	1	yes	characteristic
124	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
125	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
128	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
129	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
130	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
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	C₄⋊Q₈×C₁₃₉	C₂×C₄	1	8	yes	complemented
135	#125×C₁₃₉	C₂×C₄	1	8	yes	complemented
136	#125×C₁₃₉	C₂×C₄	1	8	yes	complemented
137	C₂²⋊Q₈×C₁₃₉	C₂×C₄	1	16	yes	complemented
138	C₂²⋊Q₈×C₁₃₉	C₂×C₄	1	16	yes	complemented
139	C₂²⋊Q₈×C₁₃₉	C₂×C₄	1	16	yes	complemented
140	C₄×Q₈×C₁₃₉	—	4	4	no	—
141	C₄×Q₈×C₁₃₉	C₂×C₄	1	8	yes	complemented
142	C₄×D₄×C₁₃₉	—	2	4	no	—
143	C₄×D₄×C₁₃₉	—	2	4	no	—
144	C₄×D₄×C₁₃₉	—	2	4	no	—
145	C₄×D₄×C₁₃₉	C₂×C₄	1	8	yes	—
146	C₄×D₄×C₁₃₉	C₂×C₄	1	8	yes	—
147	C₄×D₄×C₁₃₉	C₂×C₄	1	8	yes	—
148	C₄×D₄×C₁₃₉	Q₈	1	8	yes	complemented
149	C₂×C₄⋊C₄×C₁₃₉	—	4	4	no	—
150	C₂×C₄⋊C₄×C₁₃₉	C₂×C₄	1	16	yes	complemented
151	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
152	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
161	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
162	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
163	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
164	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
165	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
166	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
173	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
174	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
175	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
176	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
177	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
178	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
179	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
180	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
182	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
183	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
184	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
185	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
186	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
187	C₂×C₄²×C₁₃₉	—	4	4	no	—
188	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
189	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
190	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
191	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
192	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
193	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
196	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
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	2	yes	—
201	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
202	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
203	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
204	C₂×C₄²×C₁₃₉	C₂³	1	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	1	yes	characteristic
208	#95×C₁₃₉	C₂³	1	1	yes	characteristic
209	#95×C₁₃₉	C₂³	1	1	yes	characteristic
210	#95×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	2	yes	—
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	1	yes	characteristic
225	#95×C₁₃₉	C₂³	1	1	yes	characteristic
226	#95×C₁₃₉	C₂³	1	1	yes	characteristic
227	#95×C₁₃₉	C₂³	1	1	yes	characteristic
228	#95×C₁₃₉	C₂³	1	1	yes	characteristic
229	#95×C₁₃₉	C₂³	1	1	yes	characteristic
230	#95×C₁₃₉	C₂³	1	2	yes	—
231	#95×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
236	#95×C₁₃₉	C₂³	1	2	yes	—
237	#95×C₁₃₉	C₂³	1	2	yes	—
238	#95×C₁₃₉	C₂³	1	2	yes	—
239	#95×C₁₃₉	C₂³	1	2	yes	—
240	#95×C₁₃₉	C₂³	1	1	yes	characteristic
241	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
242	C₂×Q₈×C₁₃₉	—	4	2	no	—
243	C₂×Q₈×C₁₃₉	—	4	1	no	—
244	C₂×Q₈×C₁₃₉	—	4	1	no	—
245	C₂×Q₈×C₁₃₉	—	4	2	no	—
246	C₂×Q₈×C₁₃₉	C₂²×C₄	1	4	yes	—
247	C₂×Q₈×C₁₃₉	C₂²×C₄	1	8	yes	—
248	C₂×D₄×C₁₃₉	C₂²×C₄	1	4	yes	—
249	C₂×D₄×C₁₃₉	C₂×Q₈	1	4	yes	—
250	C₂×D₄×C₁₃₉	#41	1	4	yes	—
251	C₂²×C₄×C₁₃₉	—	2	4	no	—
252	C₂²×C₄×C₁₃₉	—	2	4	no	—
253	C₂²×C₄×C₁₃₉	—	2	4	no	—
254	C₂²×C₄×C₁₃₉	—	2	4	no	—
255	C₂²×C₄×C₁₃₉	—	4	2	no	—
256	C₂²×C₄×C₁₃₉	—	4	2	no	—
257	C₂²×C₄×C₁₃₉	—	4	2	no	—
258	C₂²×C₄×C₁₃₉	—	4	2	no	—
259	C₂²×C₄×C₁₃₉	—	4	2	no	—
260	C₂²×C₄×C₁₃₉	—	4	2	no	—
261	C₂²×C₄×C₁₃₉	—	4	2	no	—
262	C₂²×C₄×C₁₃₉	—	4	2	no	—
263	C₂²×C₄×C₁₃₉	—	4	2	no	—
264	C₂²×C₄×C₁₃₉	—	4	2	no	—
265	C₂²×C₄×C₁₃₉	—	4	2	no	—
266	C₂²×C₄×C₁₃₉	—	4	2	no	—
267	C₂²×C₄×C₁₃₉	—	4	2	no	—
268	C₂²×C₄×C₁₃₉	C₂²×C₄	1	8	yes	—
269	C₂²×C₄×C₁₃₉	C₂²×C₄	1	8	yes	—
270	C₂²×C₄×C₁₃₉	C₂²×C₄	1	8	yes	—
271	C₂²×C₄×C₁₃₉	C₂×Q₈	1	8	yes	—
272	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
273	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
274	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
275	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
276	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
277	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
278	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
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	1	yes	characteristic
284	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
285	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
286	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
287	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
288	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
289	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
290	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
291	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
292	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
293	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
294	C₄⋊C₄×C₁₃₉	—	2	2	no	—
295	C₄⋊C₄×C₁₃₉	—	2	2	no	—
296	C₄⋊C₄×C₁₃₉	—	2	2	no	—
297	C₄⋊C₄×C₁₃₉	—	2	2	no	—
298	C₄⋊C₄×C₁₃₉	—	2	4	no	—
299	C₄⋊C₄×C₁₃₉	—	2	2	no	—
300	C₄⋊C₄×C₁₃₉	—	4	2	no	—
301	C₄⋊C₄×C₁₃₉	—	4	2	no	—
302	C₄⋊C₄×C₁₃₉	—	4	2	no	—
303	C₄⋊C₄×C₁₃₉	—	4	2	no	—
304	C₄⋊C₄×C₁₃₉	—	4	1	no	—
305	C₄⋊C₄×C₁₃₉	—	4	1	no	—
306	C₄⋊C₄×C₁₃₉	—	4	2	no	—
307	C₄⋊C₄×C₁₃₉	—	4	1	no	—
308	C₄⋊C₄×C₁₃₉	—	4	2	no	—
309	C₄⋊C₄×C₁₃₉	—	4	1	no	—
310	C₄⋊C₄×C₁₃₉	—	4	2	no	—
311	C₄⋊C₄×C₁₃₉	C₂²×C₄	1	4	yes	—
312	C₄⋊C₄×C₁₃₉	C₂²×C₄	1	8	yes	—
313	C₄⋊C₄×C₁₃₉	C₂²×C₄	1	8	yes	—
314	C₄⋊C₄×C₁₃₉	C₂²×C₄	1	8	yes	—
315	C₄⋊C₄×C₁₃₉	C₂²×C₄	1	4	yes	—
316	C₄⋊C₄×C₁₃₉	C₂²×C₄	1	4	yes	—
317	C₄⋊C₄×C₁₃₉	C₂²×C₄	1	4	yes	—
318	C₄⋊C₄×C₁₃₉	C₂²×C₄	1	4	yes	—
319	C₄⋊C₄×C₁₃₉	C₂²×C₄	1	4	yes	—
320	C₄⋊C₄×C₁₃₉	C₂²×C₄	1	8	yes	—
321	C₄⋊C₄×C₁₃₉	C₂²×C₄	1	8	yes	—
322	C₄⋊C₄×C₁₃₉	C₂×Q₈	1	4	yes	—
323	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
324	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
325	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
326	C₂²⋊C₄×C₁₃₉	C₂²×C₄	1	8	yes	—
327	C₂²⋊C₄×C₁₃₉	C₂²×C₄	1	8	yes	—
328	C₂²⋊C₄×C₁₃₉	C₂²×C₄	1	8	yes	—
329	C₂²⋊C₄×C₁₃₉	C₂×Q₈	1	8	yes	—
330	C₄²×C₁₃₉	—	2	2	no	—
331	C₄²×C₁₃₉	—	2	2	no	—
332	C₄²×C₁₃₉	—	2	2	no	—
333	C₄²×C₁₃₉	—	2	2	no	—
334	C₄²×C₁₃₉	—	2	4	no	—
335	C₄²×C₁₃₉	—	4	2	no	—
336	C₄²×C₁₃₉	—	4	2	no	—
337	C₄²×C₁₃₉	—	4	2	no	—
338	C₄²×C₁₃₉	—	4	1	no	—
339	C₄²×C₁₃₉	—	4	1	no	—
340	C₄²×C₁₃₉	—	4	2	no	—
341	C₄²×C₁₃₉	—	4	2	no	—
342	C₄²×C₁₃₉	—	4	2	no	—
343	C₄²×C₁₃₉	—	4	1	no	—
344	C₄²×C₁₃₉	—	4	2	no	—
345	C₄²×C₁₃₉	—	4	2	no	—
346	C₄²×C₁₃₉	C₂²×C₄	1	4	yes	—
347	C₄²×C₁₃₉	C₂²×C₄	1	4	yes	—
348	C₄²×C₁₃₉	C₂²×C₄	1	4	yes	—
349	C₄²×C₁₃₉	C₂×Q₈	1	4	yes	—
350	C₂³×C₁₃₉	—	2	2	no	—
351	C₂³×C₁₃₉	—	2	2	no	—
352	C₂³×C₁₃₉	—	2	2	no	—
353	C₂³×C₁₃₉	—	2	2	no	—
354	C₂³×C₁₃₉	C₂³×C₄	1	4	yes	—
355	C₂³×C₁₃₉	C₂²×Q₈	1	4	yes	—
356	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
357	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
358	Q₈×C₁₃₉	—	4	4	no	—
359	Q₈×C₁₃₉	—	4	8	no	—
360	D₄×C₁₃₉	C₄×Q₈	1	16	yes	complemented
361	C₂×C₄×C₁₃₉	—	2	1	no	—
362	C₂×C₄×C₁₃₉	—	2	2	no	—
363	C₂×C₄×C₁₃₉	—	2	1	no	—
364	C₂×C₄×C₁₃₉	—	2	1	no	—
365	C₂×C₄×C₁₃₉	—	2	2	no	—
366	C₂×C₄×C₁₃₉	—	2	1	no	—
367	C₂×C₄×C₁₃₉	—	2	2	no	—
368	C₂×C₄×C₁₃₉	—	2	1	no	—
369	C₂×C₄×C₁₃₉	—	2	1	no	—
370	C₂×C₄×C₁₃₉	—	2	1	no	—
371	C₂×C₄×C₁₃₉	—	2	2	no	—
372	C₂×C₄×C₁₃₉	—	2	1	no	—
373	C₂×C₄×C₁₃₉	—	2	2	no	—
374	C₂×C₄×C₁₃₉	—	2	2	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	2	no	—
381	C₂×C₄×C₁₃₉	—	2	1	no	—
382	C₂×C₄×C₁₃₉	—	2	1	no	—
383	C₂×C₄×C₁₃₉	—	2	2	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	1	no	—
391	C₂×C₄×C₁₃₉	—	2	1	no	—
392	C₂×C₄×C₁₃₉	—	2	2	no	—
393	C₂×C₄×C₁₃₉	—	2	2	no	—
394	C₂×C₄×C₁₃₉	—	2	2	no	—
395	C₂×C₄×C₁₃₉	—	2	1	no	—
396	C₂×C₄×C₁₃₉	—	2	2	no	—
397	C₂×C₄×C₁₃₉	—	2	2	no	—
398	C₂×C₄×C₁₃₉	—	2	1	no	—
399	C₂×C₄×C₁₃₉	—	2	1	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	1	no	—
406	C₂×C₄×C₁₃₉	—	2	1	no	—
407	C₂×C₄×C₁₃₉	—	2	2	no	—
408	C₂×C₄×C₁₃₉	—	2	1	no	—
409	C₂×C₄×C₁₃₉	—	2	1	no	—
410	C₂×C₄×C₁₃₉	—	2	1	no	—
411	C₂×C₄×C₁₃₉	—	4	8	no	—
412	C₂×C₄×C₁₃₉	—	4	8	no	—
413	C₂×C₄×C₁₃₉	—	4	8	no	—
414	C₂×C₄×C₁₃₉	—	4	8	no	—
415	C₂×C₄×C₁₃₉	—	4	8	no	—
416	C₂×C₄×C₁₃₉	—	8	4	no	—
417	C₂×C₄×C₁₃₉	—	8	4	no	—
418	C₂×C₄×C₁₃₉	C₂³×C₄	1	2	yes	—
419	C₂×C₄×C₁₃₉	C₂³×C₄	1	2	yes	—
420	C₂×C₄×C₁₃₉	C₂³×C₄	1	2	yes	—
421	C₂×C₄×C₁₃₉	C₂³×C₄	1	2	yes	—
422	C₂×C₄×C₁₃₉	C₂³×C₄	1	2	yes	—
423	C₂×C₄×C₁₃₉	C₂³×C₄	1	2	yes	—
424	C₂×C₄×C₁₃₉	C₂³×C₄	1	4	yes	—
425	C₂×C₄×C₁₃₉	C₂³×C₄	1	4	yes	—
426	C₂×C₄×C₁₃₉	C₂³×C₄	1	4	yes	—
427	C₂×C₄×C₁₃₉	C₂³×C₄	1	2	yes	—
428	C₂×C₄×C₁₃₉	C₂²×Q₈	1	2	yes	—
429	C₂×C₄×C₁₃₉	C₂²×Q₈	1	2	yes	—
430	C₂×C₄×C₁₃₉	C₂²×Q₈	1	4	yes	—
431	C₂×C₄×C₁₃₉	C₂²×Q₈	1	2	yes	—
432	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
433	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
434	C₂²×C₁₃₉	—	2	4	no	—
435	C₂²×C₁₃₉	—	2	4	no	—
436	C₂²×C₁₃₉	—	2	4	no	—
437	C₂²×C₁₃₉	—	2	4	no	—
438	C₂²×C₁₃₉	—	2	4	no	—
439	C₂²×C₁₃₉	—	2	4	no	—
440	C₂²×C₁₃₉	C₂×C₄×Q₈	1	8	yes	—
441	C₂²×C₁₃₉	C₂⁴×C₄	1	1	yes	characteristic
442	C₂²×C₁₃₉	C₂³×Q₈	1	1	yes	characteristic
443	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
444	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
445	C₂²×C₁₃₉	#585	1	1	yes	characteristic
446	C₂²×C₁₃₉	#585	1	1	yes	characteristic
447	C₂²×C₁₃₉	#585	1	1	yes	characteristic
448	C₄×C₁₃₉	—	2	2	no	—
449	C₄×C₁₃₉	—	2	4	no	—
450	C₄×C₁₃₉	—	2	2	no	—
451	C₄×C₁₃₉	—	2	2	no	—
452	C₄×C₁₃₉	—	2	2	no	—
453	C₄×C₁₃₉	—	2	2	no	—
454	C₄×C₁₃₉	—	2	4	no	—
455	C₄×C₁₃₉	—	2	4	no	—
456	C₄×C₁₃₉	—	2	2	no	—
457	C₄×C₁₃₉	—	2	2	no	—
458	C₄×C₁₃₉	—	2	4	no	—
459	C₄×C₁₃₉	—	2	2	no	—
460	C₄×C₁₃₉	—	2	2	no	—
461	C₄×C₁₃₉	—	4	1	no	—
462	C₄×C₁₃₉	—	4	2	no	—
463	C₄×C₁₃₉	—	4	2	no	—
464	C₄×C₁₃₉	—	4	1	no	—
465	C₄×C₁₃₉	—	4	1	no	—
466	C₄×C₁₃₉	—	4	1	no	—
467	C₄×C₁₃₉	—	4	2	no	—
468	C₄×C₁₃₉	—	4	1	no	—
469	C₄×C₁₃₉	C₂×C₄×Q₈	1	4	yes	—
470	C₂×C₁₃₉	—	2	8	no	—
471	C₂×C₁₃₉	C₂²×C₄×Q₈	1	1	yes	characteristic
472	C₂×C₁₃₉	#3428	1	1	yes	characteristic
473	C₂×C₁₃₉	C₄×H(5,𝔽₂)	1	1	yes	characteristic
474	C₂×C₁₃₉	#3501	1	1	yes	characteristic
475	C₂×C₁₃₉	#3504	1	1	yes	characteristic
476	C₂×C₁₃₉	#3513	1	1	yes	characteristic
477	C₂×C₁₃₉	#3521	1	1	yes	characteristic
478	#34333	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
479	C₁₃₉	#34333	1	1	yes	characteristic, direct product factor, Sylow
480	C₂×#554	C₂×C₁₃₉	1	1	yes	characteristic
481	#2370	C₂×C₁₃₉	1	1	yes	characteristic, complemented
482	#2370	C₂×C₁₃₉	1	1	yes	characteristic, complemented
483	#2368	C₂×C₁₃₉	1	2	yes	complemented
484	#2368	C₂×C₁₃₉	1	2	yes	complemented
485	#2365	C₂×C₁₃₉	1	1	yes	characteristic, complemented
486	#2360	C₂×C₁₃₉	1	2	yes	complemented
487	#2355	C₂×C₁₃₉	1	1	yes	characteristic, complemented
488	#2349	C₂×C₁₃₉	1	1	yes	characteristic
489	#2349	C₂×C₁₃₉	1	1	yes	characteristic
490	D₄×C₄⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic
491	#2345	C₂×C₁₃₉	1	2	yes	complemented
492	#2331	C₂×C₁₃₉	1	1	yes	characteristic, complemented
493	#2330	C₂×C₁₃₉	1	1	yes	characteristic, complemented
494	#2329	C₂×C₁₃₉	1	2	yes	complemented
495	#2329	C₂×C₁₃₉	1	2	yes	complemented
496	C₄×#125	C₂×C₁₃₉	1	1	yes	characteristic, complemented
497	C₄×C₂²⋊Q₈	C₂×C₁₃₉	1	2	yes	complemented
498	#2295	C₂×C₁₃₉	1	1	yes	characteristic, complemented
499	C₂×#387	C₂×C₁₃₉	1	2	yes	complemented
500	#2275	C₂×C₁₃₉	1	1	yes	characteristic
501	#2275	C₂×C₁₃₉	1	1	yes	characteristic
502	C₄²×D₄	C₂×C₁₃₉	1	1	yes	characteristic
503	#554	C₄×C₁₃₉	1	16	yes	complemented
504	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
505	C₂×#125	C₂²×C₁₃₉	1	1	yes	characteristic
506	C₂×#125	C₂²×C₁₃₉	1	1	yes	characteristic
507	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
508	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
509	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
510	C₂×C₄×Q₈	C₂²×C₁₃₉	1	2	yes	—
511	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
512	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
513	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
514	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
515	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
516	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
517	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
518	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
519	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
520	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
521	C₂²×C₄²	C₂²×C₁₃₉	1	2	yes	—
522	#391	C₂²×C₁₃₉	1	1	yes	characteristic
523	#391	C₂²×C₁₃₉	1	2	yes	—
524	#391	C₂²×C₁₃₉	1	2	yes	—
525	#391	C₂²×C₁₃₉	1	2	yes	—
526	#391	C₂²×C₁₃₉	1	2	yes	—
527	#391	C₂²×C₁₃₉	1	1	yes	characteristic
528	#389	C₂²×C₁₃₉	1	1	yes	characteristic
529	#389	C₂²×C₁₃₉	1	1	yes	characteristic
530	#389	C₂²×C₁₃₉	1	1	yes	characteristic
531	#389	C₂²×C₁₃₉	1	2	yes	—
532	#389	C₂²×C₁₃₉	1	2	yes	—
533	#389	C₂²×C₁₃₉	1	2	yes	—
534	#389	C₂²×C₁₃₉	1	2	yes	—
535	#389	C₂²×C₁₃₉	1	1	yes	characteristic
536	#389	C₂²×C₁₃₉	1	1	yes	characteristic
537	#389	C₂²×C₁₃₉	1	1	yes	characteristic
538	#389	C₂²×C₁₃₉	1	1	yes	characteristic
539	#389	C₂²×C₁₃₉	1	1	yes	characteristic
540	#387	C₂²×C₁₃₉	1	2	yes	—
541	#387	C₂²×C₁₃₉	1	2	yes	—
542	#387	C₂²×C₁₃₉	1	2	yes	—
543	#387	C₂²×C₁₃₉	1	2	yes	—
544	#387	C₂²×C₁₃₉	1	2	yes	—
545	#387	C₂²×C₁₃₉	1	2	yes	—
546	#387	C₂²×C₁₃₉	1	2	yes	—
547	#387	C₂²×C₁₃₉	1	2	yes	—
548	#387	C₂²×C₁₃₉	1	2	yes	—
549	#387	C₂²×C₁₃₉	1	2	yes	—
550	#387	C₂²×C₁₃₉	1	1	yes	characteristic
551	#387	C₂²×C₁₃₉	1	2	yes	—
552	#387	C₂²×C₁₃₉	1	2	yes	—
553	#387	C₂²×C₁₃₉	1	2	yes	—
554	#387	C₂²×C₁₃₉	1	1	yes	characteristic
555	#387	C₂²×C₁₃₉	1	2	yes	—
556	#387	C₂²×C₁₃₉	1	1	yes	characteristic
557	#387	C₂²×C₁₃₉	1	1	yes	characteristic
558	#385	C₂²×C₁₃₉	1	2	yes	—
559	#385	C₂²×C₁₃₉	1	2	yes	—
560	#385	C₂²×C₁₃₉	1	2	yes	—
561	#385	C₂²×C₁₃₉	1	2	yes	—
562	#385	C₂²×C₁₃₉	1	2	yes	—
563	#385	C₂²×C₁₃₉	1	2	yes	—
564	#384	C₂²×C₁₃₉	1	1	yes	characteristic
565	#382	C₂²×C₁₃₉	1	1	yes	characteristic
566	#382	C₂²×C₁₃₉	1	1	yes	characteristic
567	#380	C₂²×C₁₃₉	1	2	yes	—
568	#380	C₂²×C₁₃₉	1	2	yes	—
569	#380	C₂²×C₁₃₉	1	2	yes	—
570	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
571	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
572	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
573	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
574	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
575	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
576	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
577	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
578	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
579	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
580	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
581	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
582	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
583	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
584	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
585	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
586	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
587	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
588	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
589	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
590	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
591	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
592	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
593	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
594	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
595	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
596	#376	C₂²×C₁₃₉	1	1	yes	characteristic
597	#376	C₂²×C₁₃₉	1	1	yes	characteristic
598	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
599	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
600	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
601	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
602	C₄³	C₂²×C₁₃₉	1	1	yes	characteristic
603	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
604	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
605	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
606	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
607	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
608	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
609	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
610	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
611	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
612	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
613	C₄⋊Q₈	C₂×C₄×C₁₃₉	1	8	yes	complemented
614	#125	C₂×C₄×C₁₃₉	1	8	yes	complemented
615	#125	C₂×C₄×C₁₃₉	1	8	yes	complemented
616	C₂²⋊Q₈	C₂×C₄×C₁₃₉	1	16	yes	complemented
617	C₂²⋊Q₈	C₂×C₄×C₁₃₉	1	16	yes	complemented
618	C₂²⋊Q₈	C₂×C₄×C₁₃₉	1	16	yes	complemented
619	C₄×Q₈	—	4	4	no	—
620	C₄×Q₈	C₂×C₄×C₁₃₉	1	8	yes	complemented
621	C₄×D₄	—	2	4	no	—
622	C₄×D₄	—	2	4	no	—
623	C₄×D₄	—	2	4	no	—
624	C₄×D₄	C₂×C₄×C₁₃₉	1	8	yes	—
625	C₄×D₄	C₂×C₄×C₁₃₉	1	8	yes	—
626	C₄×D₄	C₂×C₄×C₁₃₉	1	8	yes	—
627	C₄×D₄	Q₈×C₁₃₉	1	8	yes	complemented
628	C₂×C₄⋊C₄	—	4	4	no	—
629	C₂×C₄⋊C₄	C₂×C₄×C₁₃₉	1	16	yes	complemented
630	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
631	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
632	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
633	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
634	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
635	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
636	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
637	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
638	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
639	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
640	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
641	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
642	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
643	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
644	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
645	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
647	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
648	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
649	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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	1	yes	characteristic
656	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
657	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
658	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
659	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
660	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
661	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
662	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
663	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
664	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
665	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
666	C₂×C₄²	—	4	4	no	—
667	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
668	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
669	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
670	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
671	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
672	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
673	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
674	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
675	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
676	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
677	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
678	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
679	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
680	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
681	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
682	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
683	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
684	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
685	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
686	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
687	#95	C₂³×C₁₃₉	1	1	yes	characteristic
688	#95	C₂³×C₁₃₉	1	1	yes	characteristic
689	#95	C₂³×C₁₃₉	1	1	yes	characteristic
690	#95	C₂³×C₁₃₉	1	1	yes	characteristic
691	#95	C₂³×C₁₃₉	1	2	yes	—
692	#95	C₂³×C₁₃₉	1	2	yes	—
693	#95	C₂³×C₁₃₉	1	2	yes	—
694	#95	C₂³×C₁₃₉	1	2	yes	—
695	#95	C₂³×C₁₃₉	1	2	yes	—
696	#95	C₂³×C₁₃₉	1	2	yes	—
697	#95	C₂³×C₁₃₉	1	2	yes	—
698	#95	C₂³×C₁₃₉	1	2	yes	—
699	#95	C₂³×C₁₃₉	1	2	yes	—
700	#95	C₂³×C₁₃₉	1	2	yes	—
701	#95	C₂³×C₁₃₉	1	2	yes	—
702	#95	C₂³×C₁₃₉	1	2	yes	—
703	#95	C₂³×C₁₃₉	1	1	yes	characteristic
704	#95	C₂³×C₁₃₉	1	1	yes	characteristic
705	#95	C₂³×C₁₃₉	1	1	yes	characteristic
706	#95	C₂³×C₁₃₉	1	1	yes	characteristic
707	#95	C₂³×C₁₃₉	1	1	yes	characteristic
708	#95	C₂³×C₁₃₉	1	1	yes	characteristic
709	#95	C₂³×C₁₃₉	1	2	yes	—
710	#95	C₂³×C₁₃₉	1	2	yes	—
711	#95	C₂³×C₁₃₉	1	2	yes	—
712	#95	C₂³×C₁₃₉	1	1	yes	characteristic
713	#95	C₂³×C₁₃₉	1	1	yes	characteristic
714	#95	C₂³×C₁₃₉	1	1	yes	characteristic
715	#95	C₂³×C₁₃₉	1	2	yes	—
716	#95	C₂³×C₁₃₉	1	2	yes	—
717	#95	C₂³×C₁₃₉	1	2	yes	—
718	#95	C₂³×C₁₃₉	1	2	yes	—
719	#95	C₂³×C₁₃₉	1	1	yes	characteristic
720	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
721	C₂×Q₈	—	4	2	no	—
722	C₂×Q₈	—	4	1	no	—
723	C₂×Q₈	—	4	1	no	—
724	C₂×Q₈	—	4	2	no	—
725	C₂×Q₈	C₂²×C₄×C₁₃₉	1	4	yes	—
726	C₂×Q₈	C₂²×C₄×C₁₃₉	1	8	yes	—
727	C₂×D₄	C₂²×C₄×C₁₃₉	1	4	yes	—
728	C₂×D₄	C₂×Q₈×C₁₃₉	1	4	yes	—
729	C₂×D₄	#41×C₁₃₉	1	4	yes	—
730	C₂²×C₄	—	2	4	no	—
731	C₂²×C₄	—	2	4	no	—
732	C₂²×C₄	—	2	4	no	—
733	C₂²×C₄	—	2	4	no	—
734	C₂²×C₄	—	4	2	no	—
735	C₂²×C₄	—	4	2	no	—
736	C₂²×C₄	—	4	2	no	—
737	C₂²×C₄	—	4	2	no	—
738	C₂²×C₄	—	4	2	no	—
739	C₂²×C₄	—	4	2	no	—
740	C₂²×C₄	—	4	2	no	—
741	C₂²×C₄	—	4	2	no	—
742	C₂²×C₄	—	4	2	no	—
743	C₂²×C₄	—	4	2	no	—
744	C₂²×C₄	—	4	2	no	—
745	C₂²×C₄	—	4	2	no	—
746	C₂²×C₄	—	4	2	no	—
747	C₂²×C₄	C₂²×C₄×C₁₃₉	1	8	yes	—
748	C₂²×C₄	C₂²×C₄×C₁₃₉	1	8	yes	—
749	C₂²×C₄	C₂²×C₄×C₁₃₉	1	8	yes	—
750	C₂²×C₄	C₂×Q₈×C₁₃₉	1	8	yes	—
751	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
752	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
753	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
754	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
755	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
756	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
757	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
758	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
759	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
760	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
761	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
762	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
763	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
764	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
765	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
766	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
767	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
768	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
769	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
770	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
771	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
772	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
773	C₄⋊C₄	—	2	2	no	—
774	C₄⋊C₄	—	2	2	no	—
775	C₄⋊C₄	—	2	2	no	—
776	C₄⋊C₄	—	2	2	no	—
777	C₄⋊C₄	—	2	4	no	—
778	C₄⋊C₄	—	2	2	no	—
779	C₄⋊C₄	—	4	2	no	—
780	C₄⋊C₄	—	4	2	no	—
781	C₄⋊C₄	—	4	2	no	—
782	C₄⋊C₄	—	4	2	no	—
783	C₄⋊C₄	—	4	1	no	—
784	C₄⋊C₄	—	4	1	no	—
785	C₄⋊C₄	—	4	2	no	—
786	C₄⋊C₄	—	4	1	no	—
787	C₄⋊C₄	—	4	2	no	—
788	C₄⋊C₄	—	4	1	no	—
789	C₄⋊C₄	—	4	2	no	—
790	C₄⋊C₄	C₂²×C₄×C₁₃₉	1	4	yes	—
791	C₄⋊C₄	C₂²×C₄×C₁₃₉	1	8	yes	—
792	C₄⋊C₄	C₂²×C₄×C₁₃₉	1	8	yes	—
793	C₄⋊C₄	C₂²×C₄×C₁₃₉	1	8	yes	—
794	C₄⋊C₄	C₂²×C₄×C₁₃₉	1	4	yes	—
795	C₄⋊C₄	C₂²×C₄×C₁₃₉	1	4	yes	—
796	C₄⋊C₄	C₂²×C₄×C₁₃₉	1	4	yes	—
797	C₄⋊C₄	C₂²×C₄×C₁₃₉	1	4	yes	—
798	C₄⋊C₄	C₂²×C₄×C₁₃₉	1	4	yes	—
799	C₄⋊C₄	C₂²×C₄×C₁₃₉	1	8	yes	—
800	C₄⋊C₄	C₂²×C₄×C₁₃₉	1	8	yes	—
801	C₄⋊C₄	C₂×Q₈×C₁₃₉	1	4	yes	—
802	C₂²⋊C₄	—	2	4	no	—
803	C₂²⋊C₄	—	2	4	no	—
804	C₂²⋊C₄	—	2	4	no	—
805	C₂²⋊C₄	C₂²×C₄×C₁₃₉	1	8	yes	—
806	C₂²⋊C₄	C₂²×C₄×C₁₃₉	1	8	yes	—
807	C₂²⋊C₄	C₂²×C₄×C₁₃₉	1	8	yes	—
808	C₂²⋊C₄	C₂×Q₈×C₁₃₉	1	8	yes	—
809	C₄²	—	2	2	no	—
810	C₄²	—	2	2	no	—
811	C₄²	—	2	2	no	—
812	C₄²	—	2	2	no	—
813	C₄²	—	2	4	no	—
814	C₄²	—	4	2	no	—
815	C₄²	—	4	2	no	—
816	C₄²	—	4	2	no	—
817	C₄²	—	4	1	no	—
818	C₄²	—	4	1	no	—
819	C₄²	—	4	2	no	—
820	C₄²	—	4	2	no	—
821	C₄²	—	4	2	no	—
822	C₄²	—	4	1	no	—
823	C₄²	—	4	2	no	—
824	C₄²	—	4	2	no	—
825	C₄²	C₂²×C₄×C₁₃₉	1	4	yes	—
826	C₄²	C₂²×C₄×C₁₃₉	1	4	yes	—
827	C₄²	C₂²×C₄×C₁₃₉	1	4	yes	—
828	C₄²	C₂×Q₈×C₁₃₉	1	4	yes	—
829	C₂³	—	2	2	no	—
830	C₂³	—	2	2	no	—
831	C₂³	—	2	2	no	—
832	C₂³	—	2	2	no	—
833	C₂³	C₂³×C₄×C₁₃₉	1	4	yes	—
834	C₂³	C₂²×Q₈×C₁₃₉	1	4	yes	—
835	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
836	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
837	Q₈	—	4	4	no	—
838	Q₈	—	4	8	no	—
839	D₄	C₄×Q₈×C₁₃₉	1	16	yes	complemented
840	C₂×C₄	—	2	1	no	—
841	C₂×C₄	—	2	2	no	—
842	C₂×C₄	—	2	1	no	—
843	C₂×C₄	—	2	1	no	—
844	C₂×C₄	—	2	2	no	—
845	C₂×C₄	—	2	1	no	—
846	C₂×C₄	—	2	2	no	—
847	C₂×C₄	—	2	1	no	—
848	C₂×C₄	—	2	1	no	—
849	C₂×C₄	—	2	1	no	—
850	C₂×C₄	—	2	2	no	—
851	C₂×C₄	—	2	1	no	—
852	C₂×C₄	—	2	2	no	—
853	C₂×C₄	—	2	2	no	—
854	C₂×C₄	—	2	1	no	—
855	C₂×C₄	—	2	1	no	—
856	C₂×C₄	—	2	1	no	—
857	C₂×C₄	—	2	1	no	—
858	C₂×C₄	—	2	1	no	—
859	C₂×C₄	—	2	2	no	—
860	C₂×C₄	—	2	1	no	—
861	C₂×C₄	—	2	1	no	—
862	C₂×C₄	—	2	2	no	—
863	C₂×C₄	—	2	1	no	—
864	C₂×C₄	—	2	1	no	—
865	C₂×C₄	—	2	1	no	—
866	C₂×C₄	—	2	1	no	—
867	C₂×C₄	—	2	1	no	—
868	C₂×C₄	—	2	1	no	—
869	C₂×C₄	—	2	1	no	—
870	C₂×C₄	—	2	1	no	—
871	C₂×C₄	—	2	2	no	—
872	C₂×C₄	—	2	2	no	—
873	C₂×C₄	—	2	2	no	—
874	C₂×C₄	—	2	1	no	—
875	C₂×C₄	—	2	2	no	—
876	C₂×C₄	—	2	2	no	—
877	C₂×C₄	—	2	1	no	—
878	C₂×C₄	—	2	1	no	—
879	C₂×C₄	—	2	1	no	—
880	C₂×C₄	—	2	1	no	—
881	C₂×C₄	—	2	2	no	—
882	C₂×C₄	—	2	2	no	—
883	C₂×C₄	—	2	2	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	—	4	8	no	—
891	C₂×C₄	—	4	8	no	—
892	C₂×C₄	—	4	8	no	—
893	C₂×C₄	—	4	8	no	—
894	C₂×C₄	—	4	8	no	—
895	C₂×C₄	—	8	4	no	—
896	C₂×C₄	—	8	4	no	—
897	C₂×C₄	C₂³×C₄×C₁₃₉	1	2	yes	—
898	C₂×C₄	C₂³×C₄×C₁₃₉	1	2	yes	—
899	C₂×C₄	C₂³×C₄×C₁₃₉	1	2	yes	—
900	C₂×C₄	C₂³×C₄×C₁₃₉	1	2	yes	—
901	C₂×C₄	C₂³×C₄×C₁₃₉	1	2	yes	—
902	C₂×C₄	C₂³×C₄×C₁₃₉	1	2	yes	—
903	C₂×C₄	C₂³×C₄×C₁₃₉	1	4	yes	—
904	C₂×C₄	C₂³×C₄×C₁₃₉	1	4	yes	—
905	C₂×C₄	C₂³×C₄×C₁₃₉	1	4	yes	—
906	C₂×C₄	C₂³×C₄×C₁₃₉	1	2	yes	—
907	C₂×C₄	C₂²×Q₈×C₁₃₉	1	2	yes	—
908	C₂×C₄	C₂²×Q₈×C₁₃₉	1	2	yes	—
909	C₂×C₄	C₂²×Q₈×C₁₃₉	1	4	yes	—
910	C₂×C₄	C₂²×Q₈×C₁₃₉	1	2	yes	—
911	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
912	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
913	C₂²	—	2	4	no	—
914	C₂²	—	2	4	no	—
915	C₂²	—	2	4	no	—
916	C₂²	—	2	4	no	—
917	C₂²	—	2	4	no	—
918	C₂²	—	2	4	no	—
919	C₂²	C₂×C₄×Q₈×C₁₃₉	1	8	yes	—
920	C₂²	C₂⁴×C₄×C₁₃₉	1	1	yes	characteristic
921	C₂²	C₂³×Q₈×C₁₃₉	1	1	yes	characteristic
922	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
923	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
924	C₂²	#585×C₁₃₉	1	1	yes	characteristic
925	C₂²	#585×C₁₃₉	1	1	yes	characteristic
926	C₂²	#585×C₁₃₉	1	1	yes	characteristic
927	C₄	—	2	2	no	—
928	C₄	—	2	4	no	—
929	C₄	—	2	2	no	—
930	C₄	—	2	2	no	—
931	C₄	—	2	2	no	—
932	C₄	—	2	2	no	—
933	C₄	—	2	4	no	—
934	C₄	—	2	4	no	—
935	C₄	—	2	2	no	—
936	C₄	—	2	2	no	—
937	C₄	—	2	4	no	—
938	C₄	—	2	2	no	—
939	C₄	—	2	2	no	—
940	C₄	—	4	2	no	—
941	C₄	—	4	1	no	—
942	C₄	—	4	2	no	—
943	C₄	—	4	1	no	—
944	C₄	—	4	1	no	—
945	C₄	—	4	2	no	—
946	C₄	—	4	1	no	—
947	C₄	—	4	1	no	—
948	C₄	C₂×C₄×Q₈×C₁₃₉	1	4	yes	—
949	C₂	—	2	8	no	—
950	C₂	C₂²×C₄×Q₈×C₁₃₉	1	1	yes	characteristic
951	C₂	#3428×C₁₃₉	1	1	yes	characteristic
952	C₂	C₄×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
953	C₂	#3501×C₁₃₉	1	1	yes	characteristic
954	C₂	#3504×C₁₃₉	1	1	yes	characteristic
955	C₂	#3513×C₁₃₉	1	1	yes	characteristic
956	C₂	#3521×C₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₃₉
Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	C₂²×D₄×C₁₃₉	C₂³
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. #2370×C₁₃₉	C₂	semidirect
3. #2370×C₁₃₉	C₂	semidirect
4. #2368×C₁₃₉	C₂	semidirect
5. #2368×C₁₃₉	C₂	semidirect
6. #2365×C₁₃₉	C₂	semidirect
7. #2360×C₁₃₉	C₂	semidirect
8. #2355×C₁₃₉	C₂	semidirect
12. #2345×C₁₃₉	C₂	semidirect
13. #2331×C₁₃₉	C₂	semidirect
14. #2330×C₁₃₉	C₂	semidirect
15. #2329×C₁₃₉	C₂	semidirect
16. #2329×C₁₃₉	C₂	semidirect
17. C₄×#125×C₁₃₉	C₂	semidirect
18. C₄×C₂²⋊Q₈×C₁₃₉	C₂	semidirect
19. #2295×C₁₃₉	C₂	semidirect
20. C₂×#387×C₁₃₉	C₂	semidirect
24. #554×C₁₃₉	C₄	semidirect
134. C₄⋊Q₈×C₁₃₉	C₂×C₄	semidirect
135. #125×C₁₃₉	C₂×C₄	semidirect
136. #125×C₁₃₉	C₂×C₄	semidirect
137. C₂²⋊Q₈×C₁₃₉	C₂×C₄	semidirect
138. C₂²⋊Q₈×C₁₃₉	C₂×C₄	semidirect
139. C₂²⋊Q₈×C₁₃₉	C₂×C₄	semidirect
141. C₄×Q₈×C₁₃₉	C₂×C₄	semidirect
148. C₄×D₄×C₁₃₉	Q₈	semidirect
150. C₂×C₄⋊C₄×C₁₃₉	C₂×C₄	semidirect
360. D₄×C₁₃₉	C₄×Q₈	semidirect
478. #34333	C₁₃₉	direct (N × H)
479. C₁₃₉	#34333	direct (N × H)
481. #2370	C₂×C₁₃₉	semidirect
482. #2370	C₂×C₁₃₉	semidirect
483. #2368	C₂×C₁₃₉	semidirect
484. #2368	C₂×C₁₃₉	semidirect
485. #2365	C₂×C₁₃₉	semidirect
486. #2360	C₂×C₁₃₉	semidirect
487. #2355	C₂×C₁₃₉	semidirect
491. #2345	C₂×C₁₃₉	semidirect
492. #2331	C₂×C₁₃₉	semidirect
493. #2330	C₂×C₁₃₉	semidirect
494. #2329	C₂×C₁₃₉	semidirect
495. #2329	C₂×C₁₃₉	semidirect
496. C₄×#125	C₂×C₁₃₉	semidirect
497. C₄×C₂²⋊Q₈	C₂×C₁₃₉	semidirect
498. #2295	C₂×C₁₃₉	semidirect
499. C₂×#387	C₂×C₁₃₉	semidirect
503. #554	C₄×C₁₃₉	semidirect
613. C₄⋊Q₈	C₂×C₄×C₁₃₉	semidirect
614. #125	C₂×C₄×C₁₃₉	semidirect
615. #125	C₂×C₄×C₁₃₉	semidirect
616. C₂²⋊Q₈	C₂×C₄×C₁₃₉	semidirect
617. C₂²⋊Q₈	C₂×C₄×C₁₃₉	semidirect
618. C₂²⋊Q₈	C₂×C₄×C₁₃₉	semidirect
620. C₄×Q₈	C₂×C₄×C₁₃₉	semidirect
627. C₄×D₄	Q₈×C₁₃₉	semidirect
629. C₂×C₄⋊C₄	C₂×C₄×C₁₃₉	semidirect
839. D₄	C₄×Q₈×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#554×C₁₃₉	2
#2370×C₁₃₉	2
#2368×C₁₃₉	2
#2365×C₁₃₉	2
#2360×C₁₃₉	2
#2355×C₁₃₉	2
#2349×C₁₃₉	2
D₄×C₄⋊C₄×C₁₃₉	2
#2345×C₁₃₉	2
#2331×C₁₃₉	2
#2330×C₁₃₉	2
#2329×C₁₃₉	2
C₄×#125×C₁₃₉	2
C₄×C₂²⋊Q₈×C₁₃₉	2
#2295×C₁₃₉	2
C₂×#387×C₁₃₉	2
#2275×C₁₃₉	2
C₄²×D₄×C₁₃₉	2
#34333	139

Subgroups — C139×#34333 #48028929

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#34333 #48028929