Subgroups — C₁₃₉×#36204 #48030800

Order 35584.

1992 conjugacy classes of subgroups.

The subgroup lattice has 1038 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2857×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#2855×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2848×C₁₃₉	C₂	1	1	yes	maximal, characteristic
4	#2573×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2561×C₁₃₉	C₂	1	2	yes	maximal
6	#2527×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2523×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2499×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2496×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2494×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
11	#2493×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2492×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2480×C₁₃₉	C₂	1	2	yes	maximal
14	#2439×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2421×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2373×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2368×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	#2362×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2347×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₂²⋊Q₈×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2283×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	#2280×C₁₃₉	C₂	1	1	yes	maximal, characteristic
23	C₂×C₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic
24	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
25	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
26	C₂×#126×C₁₃₉	C₂²	1	2	yes	—
27	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
28	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
29	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
30	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
31	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
32	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
38	#401×C₁₃₉	C₂²	1	2	yes	complemented
39	#400×C₁₃₉	C₂²	1	2	yes	complemented
40	#400×C₁₃₉	C₂²	1	2	yes	complemented
41	#400×C₁₃₉	C₂²	1	2	yes	complemented
42	#397×C₁₃₉	C₂²	1	2	yes	—
43	#397×C₁₃₉	C₂²	1	2	yes	—
44	#397×C₁₃₉	C₂²	1	2	yes	—
45	#397×C₁₃₉	C₂²	1	2	yes	—
46	#397×C₁₃₉	C₂²	1	2	yes	—
47	#396×C₁₃₉	C₂²	1	2	yes	—
48	#393×C₁₃₉	C₂²	1	2	yes	—
49	#393×C₁₃₉	C₂²	1	2	yes	—
50	#391×C₁₃₉	C₂²	1	2	yes	complemented
51	#391×C₁₃₉	C₂²	1	2	yes	complemented
52	#391×C₁₃₉	C₂²	1	2	yes	complemented
53	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
54	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
55	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
56	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
57	#389×C₁₃₉	C₂²	1	2	yes	complemented
58	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
59	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
60	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
61	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
62	#388×C₁₃₉	C₂²	1	2	yes	—
63	#388×C₁₃₉	C₂²	1	2	yes	—
64	#388×C₁₃₉	C₂²	1	2	yes	—
65	#388×C₁₃₉	C₂²	1	2	yes	—
66	#388×C₁₃₉	C₂²	1	2	yes	—
67	#388×C₁₃₉	C₂²	1	2	yes	—
68	#388×C₁₃₉	C₂²	1	2	yes	—
69	#387×C₁₃₉	C₂²	1	2	yes	complemented
70	#387×C₁₃₉	C₂²	1	2	yes	complemented
71	#387×C₁₃₉	C₂²	1	2	yes	complemented
72	#387×C₁₃₉	C₂²	1	2	yes	complemented
73	#387×C₁₃₉	C₂²	1	2	yes	complemented
74	#387×C₁₃₉	C₂²	1	2	yes	complemented
75	#387×C₁₃₉	C₂²	1	2	yes	complemented
76	#387×C₁₃₉	C₂²	1	2	yes	complemented
77	#387×C₁₃₉	C₂²	1	2	yes	complemented
78	#387×C₁₃₉	C₂²	1	2	yes	complemented
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	#384×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
85	#383×C₁₃₉	C₂²	1	2	yes	complemented
86	#383×C₁₃₉	C₂²	1	2	yes	complemented
87	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
88	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
89	#381×C₁₃₉	C₂²	1	2	yes	—
90	#381×C₁₃₉	C₂²	1	2	yes	—
91	#381×C₁₃₉	C₂²	1	2	yes	—
92	#380×C₁₃₉	C₂²	1	1	yes	characteristic
93	#380×C₁₃₉	C₂²	1	1	yes	characteristic
94	#380×C₁₃₉	C₂²	1	1	yes	characteristic
95	#380×C₁₃₉	C₂²	1	1	yes	characteristic
96	#380×C₁₃₉	C₂²	1	1	yes	characteristic
97	#380×C₁₃₉	C₂²	1	1	yes	characteristic
98	#380×C₁₃₉	C₂²	1	1	yes	characteristic
99	#380×C₁₃₉	C₂²	1	2	yes	—
100	#379×C₁₃₉	C₂²	1	2	yes	—
101	#379×C₁₃₉	C₂²	1	2	yes	—
102	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
103	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
104	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
105	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
106	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
107	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
108	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
109	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
110	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
111	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
112	C₄×C₂²⋊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	2	yes	—
118	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
120	#376×C₁₃₉	C₂²	1	2	yes	complemented
121	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
122	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
123	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
124	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
125	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
126	C₂³×C₄×C₁₃₉	—	2	4	no	—
127	C₂³×C₄×C₁₃₉	—	2	4	no	—
128	C₂³×C₄×C₁₃₉	—	4	2	no	—
129	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
130	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
131	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
132	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
134	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
135	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
136	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
137	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
139	C₄⋊Q₈×C₁₃₉	—	4	2	no	—
140	#126×C₁₃₉	—	2	8	no	—
141	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
142	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
143	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
144	C₂²⋊Q₈×C₁₃₉	—	4	2	no	—
145	C₄×Q₈×C₁₃₉	—	4	2	no	—
146	#117×C₁₃₉	—	2	4	no	—
147	#117×C₁₃₉	—	4	2	no	—
148	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
149	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
150	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
151	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
152	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
153	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	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	2	yes	—
165	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
166	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
167	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
168	C₂×C₂²⋊C₄×C₁₃₉	—	2	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	1	yes	characteristic
173	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
174	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
175	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
176	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
177	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
178	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
179	C₂×C₂²⋊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×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
188	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
189	C₂×C₄²×C₁₃₉	—	2	4	no	—
190	C₂×C₄²×C₁₃₉	—	4	2	no	—
191	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
192	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
193	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
199	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
200	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
201	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
202	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
203	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
204	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
205	#95×C₁₃₉	C₂³	1	2	yes	—
206	#95×C₁₃₉	C₂³	1	2	yes	—
207	#95×C₁₃₉	C₂³	1	2	yes	—
208	#95×C₁₃₉	C₂³	1	2	yes	—
209	#95×C₁₃₉	C₂³	1	2	yes	—
210	#95×C₁₃₉	C₂³	1	2	yes	—
211	#95×C₁₃₉	C₂³	1	2	yes	—
212	#95×C₁₃₉	C₂³	1	2	yes	—
213	#95×C₁₃₉	C₂³	1	2	yes	—
214	#95×C₁₃₉	C₂³	1	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	1	yes	characteristic
219	#95×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
225	#95×C₁₃₉	C₂³	1	2	yes	—
226	#95×C₁₃₉	C₂³	1	2	yes	—
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	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	C₂⁴×C₁₃₉	—	2	2	no	—
239	C₂⁴×C₁₃₉	—	2	2	no	—
240	C₂⁴×C₁₃₉	—	2	2	no	—
241	C₂⁴×C₁₃₉	—	2	2	no	—
242	C₂⁴×C₁₃₉	—	2	2	no	—
243	C₂⁴×C₁₃₉	—	4	1	no	—
244	C₂⁴×C₁₃₉	—	4	1	no	—
245	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
246	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
247	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
248	C₂×Q₈×C₁₃₉	—	2	2	no	—
249	C₂×Q₈×C₁₃₉	—	2	2	no	—
250	C₂×Q₈×C₁₃₉	—	2	4	no	—
251	C₂×Q₈×C₁₃₉	—	2	2	no	—
252	C₂×Q₈×C₁₃₉	—	4	2	no	—
253	C₂×Q₈×C₁₃₉	—	4	2	no	—
254	C₂²×C₄×C₁₃₉	—	2	2	no	—
255	C₂²×C₄×C₁₃₉	—	2	2	no	—
256	C₂²×C₄×C₁₃₉	—	2	2	no	—
257	C₂²×C₄×C₁₃₉	—	2	2	no	—
258	C₂²×C₄×C₁₃₉	—	2	2	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	—	2	2	no	—
266	C₂²×C₄×C₁₃₉	—	2	2	no	—
267	C₂²×C₄×C₁₃₉	—	2	2	no	—
268	C₂²×C₄×C₁₃₉	—	2	2	no	—
269	C₂²×C₄×C₁₃₉	—	2	2	no	—
270	C₂²×C₄×C₁₃₉	—	2	2	no	—
271	C₂²×C₄×C₁₃₉	—	2	2	no	—
272	C₂²×C₄×C₁₃₉	—	2	2	no	—
273	C₂²×C₄×C₁₃₉	—	2	2	no	—
274	C₂²×C₄×C₁₃₉	—	4	1	no	—
275	C₂²×C₄×C₁₃₉	—	4	1	no	—
276	C₂²×C₄×C₁₃₉	—	4	1	no	—
277	C₂²×C₄×C₁₃₉	—	4	1	no	—
278	C₂²×C₄×C₁₃₉	—	4	1	no	—
279	C₂²×C₄×C₁₃₉	—	4	1	no	—
280	C₂²×C₄×C₁₃₉	—	4	1	no	—
281	C₂²×C₄×C₁₃₉	—	4	16	no	—
282	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
283	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
284	C₂²×C₄×C₁₃₉	#41	1	4	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	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	2	yes	—
293	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
294	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
295	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
296	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
297	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
298	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
299	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
300	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
301	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
302	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
303	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
304	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
305	C₄⋊C₄×C₁₃₉	—	2	2	no	—
306	C₄⋊C₄×C₁₃₉	—	2	2	no	—
307	C₄⋊C₄×C₁₃₉	—	2	4	no	—
308	C₄⋊C₄×C₁₃₉	—	2	2	no	—
309	C₄⋊C₄×C₁₃₉	—	2	2	no	—
310	C₄⋊C₄×C₁₃₉	—	2	4	no	—
311	C₄⋊C₄×C₁₃₉	—	2	4	no	—
312	C₄⋊C₄×C₁₃₉	—	2	4	no	—
313	C₄⋊C₄×C₁₃₉	—	2	4	no	—
314	C₄⋊C₄×C₁₃₉	—	2	4	no	—
315	C₄⋊C₄×C₁₃₉	—	2	4	no	—
316	C₄⋊C₄×C₁₃₉	—	2	4	no	—
317	C₄⋊C₄×C₁₃₉	—	2	2	no	—
318	C₄⋊C₄×C₁₃₉	—	2	2	no	—
319	C₄⋊C₄×C₁₃₉	—	2	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	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
325	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
326	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
327	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
328	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
329	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
330	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
331	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
332	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
333	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
334	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
335	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
336	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
337	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
338	C₂²⋊C₄×C₁₃₉	—	2	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	2	no	—
343	C₂²⋊C₄×C₁₃₉	#41	1	4	yes	—
344	C₄²×C₁₃₉	—	2	2	no	—
345	C₄²×C₁₃₉	—	2	2	no	—
346	C₄²×C₁₃₉	—	2	2	no	—
347	C₄²×C₁₃₉	—	2	2	no	—
348	C₄²×C₁₃₉	—	2	4	no	—
349	C₄²×C₁₃₉	—	2	4	no	—
350	C₄²×C₁₃₉	—	2	2	no	—
351	C₄²×C₁₃₉	—	2	2	no	—
352	C₄²×C₁₃₉	—	4	1	no	—
353	C₄²×C₁₃₉	—	4	1	no	—
354	C₄²×C₁₃₉	—	4	2	no	—
355	C₄²×C₁₃₉	—	4	2	no	—
356	C₄²×C₁₃₉	—	4	2	no	—
357	C₄²×C₁₃₉	—	4	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	8	no	—
363	C₂³×C₁₃₉	—	2	1	no	—
364	C₂³×C₁₃₉	—	2	1	no	—
365	C₂³×C₁₃₉	—	2	1	no	—
366	C₂³×C₁₃₉	—	2	1	no	—
367	C₂³×C₁₃₉	—	2	1	no	—
368	C₂³×C₁₃₉	—	2	1	no	—
369	C₂³×C₁₃₉	—	2	1	no	—
370	C₂³×C₁₃₉	—	2	1	no	—
371	C₂³×C₁₃₉	—	2	1	no	—
372	C₂³×C₁₃₉	—	2	1	no	—
373	C₂³×C₁₃₉	—	2	1	no	—
374	C₂³×C₁₃₉	—	2	1	no	—
375	C₂³×C₁₃₉	—	4	4	no	—
376	C₂³×C₁₃₉	—	4	4	no	—
377	C₂³×C₁₃₉	—	4	4	no	—
378	C₂³×C₁₃₉	—	4	4	no	—
379	C₂³×C₁₃₉	—	4	4	no	—
380	C₂³×C₁₃₉	—	4	4	no	—
381	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
382	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
383	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
384	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
385	C₂³×C₁₃₉	2₋¹⁺⁴	1	2	yes	—
386	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
387	Q₈×C₁₃₉	—	4	4	no	—
388	Q₈×C₁₃₉	—	8	4	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	1	no	—
400	C₂×C₄×C₁₃₉	—	2	1	no	—
401	C₂×C₄×C₁₃₉	—	2	8	no	—
402	C₂×C₄×C₁₃₉	—	2	8	no	—
403	C₂×C₄×C₁₃₉	—	2	1	no	—
404	C₂×C₄×C₁₃₉	—	2	1	no	—
405	C₂×C₄×C₁₃₉	—	2	1	no	—
406	C₂×C₄×C₁₃₉	—	2	2	no	—
407	C₂×C₄×C₁₃₉	—	2	2	no	—
408	C₂×C₄×C₁₃₉	—	2	2	no	—
409	C₂×C₄×C₁₃₉	—	2	2	no	—
410	C₂×C₄×C₁₃₉	—	2	1	no	—
411	C₂×C₄×C₁₃₉	—	2	1	no	—
412	C₂×C₄×C₁₃₉	—	2	1	no	—
413	C₂×C₄×C₁₃₉	—	2	1	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	2	no	—
421	C₂×C₄×C₁₃₉	—	2	2	no	—
422	C₂×C₄×C₁₃₉	—	2	2	no	—
423	C₂×C₄×C₁₃₉	—	2	2	no	—
424	C₂×C₄×C₁₃₉	—	2	1	no	—
425	C₂×C₄×C₁₃₉	—	2	1	no	—
426	C₂×C₄×C₁₃₉	—	2	1	no	—
427	C₂×C₄×C₁₃₉	—	2	2	no	—
428	C₂×C₄×C₁₃₉	—	2	2	no	—
429	C₂×C₄×C₁₃₉	—	2	2	no	—
430	C₂×C₄×C₁₃₉	—	2	2	no	—
431	C₂×C₄×C₁₃₉	—	2	1	no	—
432	C₂×C₄×C₁₃₉	—	2	2	no	—
433	C₂×C₄×C₁₃₉	—	2	2	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	2	no	—
440	C₂×C₄×C₁₃₉	—	2	2	no	—
441	C₂×C₄×C₁₃₉	—	2	1	no	—
442	C₂×C₄×C₁₃₉	—	4	4	no	—
443	C₂×C₄×C₁₃₉	—	4	4	no	—
444	C₂×C₄×C₁₃₉	—	4	4	no	—
445	C₂×C₄×C₁₃₉	—	4	4	no	—
446	C₂×C₄×C₁₃₉	—	4	4	no	—
447	C₂×C₄×C₁₃₉	—	4	4	no	—
448	C₂×C₄×C₁₃₉	—	4	4	no	—
449	C₂×C₄×C₁₃₉	—	4	4	no	—
450	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
451	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
452	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
453	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
454	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
455	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
456	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
457	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
458	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
459	C₂²×C₁₃₉	—	2	2	no	—
460	C₂²×C₁₃₉	—	2	2	no	—
461	C₂²×C₁₃₉	—	2	2	no	—
462	C₂²×C₁₃₉	—	2	2	no	—
463	C₂²×C₁₃₉	—	2	2	no	—
464	C₂²×C₁₃₉	—	2	2	no	—
465	C₂²×C₁₃₉	—	2	2	no	—
466	C₂²×C₁₃₉	—	2	2	no	—
467	C₂²×C₁₃₉	—	2	2	no	—
468	C₂²×C₁₃₉	—	2	2	no	—
469	C₂²×C₁₃₉	—	2	2	no	—
470	C₂²×C₁₃₉	—	2	2	no	—
471	C₂²×C₁₃₉	—	4	16	no	—
472	C₂²×C₁₃₉	—	4	1	no	—
473	C₂²×C₁₃₉	—	4	1	no	—
474	C₂²×C₁₃₉	—	4	1	no	—
475	C₂²×C₁₃₉	—	4	1	no	—
476	C₂²×C₁₃₉	—	4	1	no	—
477	C₂²×C₁₃₉	—	4	1	no	—
478	C₂²×C₁₃₉	—	4	1	no	—
479	C₂²×C₁₃₉	—	4	1	no	—
480	C₂²×C₁₃₉	#556	1	4	yes	—
481	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
482	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
483	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
484	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
485	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
486	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
487	C₂²×C₁₃₉	#585	1	1	yes	characteristic
488	C₄×C₁₃₉	—	2	2	no	—
489	C₄×C₁₃₉	—	2	2	no	—
490	C₄×C₁₃₉	—	2	2	no	—
491	C₄×C₁₃₉	—	2	2	no	—
492	C₄×C₁₃₉	—	2	2	no	—
493	C₄×C₁₃₉	—	2	2	no	—
494	C₄×C₁₃₉	—	4	2	no	—
495	C₄×C₁₃₉	—	4	2	no	—
496	C₄×C₁₃₉	—	4	1	no	—
497	C₄×C₁₃₉	—	4	2	no	—
498	C₄×C₁₃₉	—	4	1	no	—
499	C₄×C₁₃₉	—	4	1	no	—
500	C₄×C₁₃₉	—	4	2	no	—
501	C₄×C₁₃₉	—	4	1	no	—
502	C₄×C₁₃₉	—	4	2	no	—
503	C₄×C₁₃₉	—	4	2	no	—
504	C₄×C₁₃₉	—	4	2	no	—
505	C₄×C₁₃₉	—	4	2	no	—
506	C₄×C₁₃₉	—	4	1	no	—
507	C₄×C₁₃₉	#551	1	4	yes	—
508	C₂×C₁₃₉	—	2	4	no	—
509	C₂×C₁₃₉	—	4	2	no	—
510	C₂×C₁₃₉	—	4	2	no	—
511	C₂×C₁₃₉	#3444	1	1	yes	characteristic
512	C₂×C₁₃₉	C₂×#551	1	1	yes	characteristic
513	C₂×C₁₃₉	C₂×#556	1	1	yes	characteristic
514	C₂×C₁₃₉	#3475	1	1	yes	characteristic
515	C₂×C₁₃₉	#3495	1	1	yes	characteristic
516	C₂×C₁₃₉	#3505	1	1	yes	characteristic
517	C₂×C₁₃₉	#3520	1	1	yes	characteristic
518	#36204	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
519	C₁₃₉	#36204	1	1	yes	characteristic, direct product factor, Sylow
520	#2857	C₂×C₁₃₉	1	1	yes	characteristic, complemented
521	#2855	C₂×C₁₃₉	1	1	yes	characteristic, complemented
522	#2848	C₂×C₁₃₉	1	1	yes	characteristic
523	#2573	C₂×C₁₃₉	1	2	yes	complemented
524	#2561	C₂×C₁₃₉	1	2	yes	—
525	#2527	C₂×C₁₃₉	1	2	yes	complemented
526	#2523	C₂×C₁₃₉	1	2	yes	complemented
527	#2499	C₂×C₁₃₉	1	1	yes	characteristic, complemented
528	#2496	C₂×C₁₃₉	1	1	yes	characteristic, complemented
529	#2494	C₂×C₁₃₉	1	1	yes	characteristic, complemented
530	#2493	C₂×C₁₃₉	1	2	yes	complemented
531	#2492	C₂×C₁₃₉	1	1	yes	characteristic, complemented
532	#2480	C₂×C₁₃₉	1	2	yes	—
533	#2439	C₂×C₁₃₉	1	1	yes	characteristic, complemented
534	#2421	C₂×C₁₃₉	1	1	yes	characteristic, complemented
535	#2373	C₂×C₁₃₉	1	2	yes	complemented
536	#2368	C₂×C₁₃₉	1	2	yes	complemented
537	#2362	C₂×C₁₃₉	1	1	yes	characteristic, complemented
538	#2347	C₂×C₁₃₉	1	1	yes	characteristic, complemented
539	C₄×C₂²⋊Q₈	C₂×C₁₃₉	1	1	yes	characteristic, complemented
540	#2283	C₂×C₁₃₉	1	1	yes	characteristic, complemented
541	#2280	C₂×C₁₃₉	1	1	yes	characteristic
542	C₂×C₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic
543	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
544	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
545	C₂×#126	C₂²×C₁₃₉	1	2	yes	—
546	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
547	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
548	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
549	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
550	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
551	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
552	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
553	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
554	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
555	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
556	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
557	#401	C₂²×C₁₃₉	1	2	yes	complemented
558	#400	C₂²×C₁₃₉	1	2	yes	complemented
559	#400	C₂²×C₁₃₉	1	2	yes	complemented
560	#400	C₂²×C₁₃₉	1	2	yes	complemented
561	#397	C₂²×C₁₃₉	1	2	yes	—
562	#397	C₂²×C₁₃₉	1	2	yes	—
563	#397	C₂²×C₁₃₉	1	2	yes	—
564	#397	C₂²×C₁₃₉	1	2	yes	—
565	#397	C₂²×C₁₃₉	1	2	yes	—
566	#396	C₂²×C₁₃₉	1	2	yes	—
567	#393	C₂²×C₁₃₉	1	2	yes	—
568	#393	C₂²×C₁₃₉	1	2	yes	—
569	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
570	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
571	#391	C₂²×C₁₃₉	1	2	yes	complemented
572	#391	C₂²×C₁₃₉	1	2	yes	complemented
573	#391	C₂²×C₁₃₉	1	2	yes	complemented
574	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
575	#389	C₂²×C₁₃₉	1	2	yes	complemented
576	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
577	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
578	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
579	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
580	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
581	#388	C₂²×C₁₃₉	1	2	yes	—
582	#388	C₂²×C₁₃₉	1	2	yes	—
583	#388	C₂²×C₁₃₉	1	2	yes	—
584	#388	C₂²×C₁₃₉	1	2	yes	—
585	#388	C₂²×C₁₃₉	1	2	yes	—
586	#388	C₂²×C₁₃₉	1	2	yes	—
587	#388	C₂²×C₁₃₉	1	2	yes	—
588	#387	C₂²×C₁₃₉	1	2	yes	complemented
589	#387	C₂²×C₁₃₉	1	2	yes	complemented
590	#387	C₂²×C₁₃₉	1	2	yes	complemented
591	#387	C₂²×C₁₃₉	1	2	yes	complemented
592	#387	C₂²×C₁₃₉	1	2	yes	complemented
593	#387	C₂²×C₁₃₉	1	2	yes	complemented
594	#387	C₂²×C₁₃₉	1	2	yes	complemented
595	#387	C₂²×C₁₃₉	1	2	yes	complemented
596	#387	C₂²×C₁₃₉	1	2	yes	complemented
597	#387	C₂²×C₁₃₉	1	2	yes	complemented
598	#385	C₂²×C₁₃₉	1	2	yes	—
599	#385	C₂²×C₁₃₉	1	2	yes	—
600	#385	C₂²×C₁₃₉	1	2	yes	—
601	#385	C₂²×C₁₃₉	1	2	yes	—
602	#385	C₂²×C₁₃₉	1	2	yes	—
603	#384	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
604	#383	C₂²×C₁₃₉	1	2	yes	complemented
605	#383	C₂²×C₁₃₉	1	2	yes	complemented
606	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
607	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
608	#381	C₂²×C₁₃₉	1	2	yes	—
609	#381	C₂²×C₁₃₉	1	2	yes	—
610	#381	C₂²×C₁₃₉	1	2	yes	—
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	1	yes	characteristic
615	#380	C₂²×C₁₃₉	1	2	yes	—
616	#380	C₂²×C₁₃₉	1	1	yes	characteristic
617	#380	C₂²×C₁₃₉	1	1	yes	characteristic
618	#380	C₂²×C₁₃₉	1	1	yes	characteristic
619	#379	C₂²×C₁₃₉	1	2	yes	—
620	#379	C₂²×C₁₃₉	1	2	yes	—
621	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
622	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	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	2	yes	complemented
626	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
627	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
628	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
629	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
630	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
631	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
632	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
633	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
634	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
635	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
636	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
637	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
638	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
639	#376	C₂²×C₁₃₉	1	2	yes	complemented
640	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
641	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
642	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
643	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
644	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
645	C₂³×C₄	—	2	4	no	—
646	C₂³×C₄	—	2	4	no	—
647	C₂³×C₄	—	4	2	no	—
648	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
649	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
650	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
651	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
652	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
653	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
654	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
655	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
656	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
657	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
658	C₄⋊Q₈	—	4	2	no	—
659	#126	—	2	8	no	—
660	C₂²⋊Q₈	—	2	4	no	—
661	C₂²⋊Q₈	—	2	4	no	—
662	C₂²⋊Q₈	—	2	8	no	—
663	C₂²⋊Q₈	—	4	2	no	—
664	C₄×Q₈	—	4	2	no	—
665	#117	—	2	4	no	—
666	#117	—	4	2	no	—
667	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
668	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
669	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
670	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
671	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
672	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
673	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
674	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
675	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
676	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
677	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
678	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
679	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
680	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
681	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
682	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
683	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
684	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
685	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
686	C₂×C₂²⋊C₄	—	2	4	no	—
687	C₂×C₂²⋊C₄	—	2	4	no	—
688	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
689	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
690	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
691	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
692	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
693	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
694	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
695	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	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	2	yes	—
704	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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	1	yes	characteristic
708	C₂×C₄²	—	2	4	no	—
709	C₂×C₄²	—	4	2	no	—
710	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
711	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
712	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
713	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
714	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
715	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
716	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
717	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
718	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
719	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
720	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
721	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
722	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
723	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
724	#95	C₂³×C₁₃₉	1	1	yes	characteristic
725	#95	C₂³×C₁₃₉	1	1	yes	characteristic
726	#95	C₂³×C₁₃₉	1	1	yes	characteristic
727	#95	C₂³×C₁₃₉	1	1	yes	characteristic
728	#95	C₂³×C₁₃₉	1	1	yes	characteristic
729	#95	C₂³×C₁₃₉	1	1	yes	characteristic
730	#95	C₂³×C₁₃₉	1	1	yes	characteristic
731	#95	C₂³×C₁₃₉	1	1	yes	characteristic
732	#95	C₂³×C₁₃₉	1	2	yes	—
733	#95	C₂³×C₁₃₉	1	2	yes	—
734	#95	C₂³×C₁₃₉	1	2	yes	—
735	#95	C₂³×C₁₃₉	1	2	yes	—
736	#95	C₂³×C₁₃₉	1	2	yes	—
737	#95	C₂³×C₁₃₉	1	2	yes	—
738	#95	C₂³×C₁₃₉	1	2	yes	—
739	#95	C₂³×C₁₃₉	1	2	yes	—
740	#95	C₂³×C₁₃₉	1	2	yes	—
741	#95	C₂³×C₁₃₉	1	2	yes	—
742	#95	C₂³×C₁₃₉	1	2	yes	—
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	#95	C₂³×C₁₃₉	1	2	yes	—
751	#95	C₂³×C₁₃₉	1	2	yes	—
752	#95	C₂³×C₁₃₉	1	2	yes	—
753	#95	C₂³×C₁₃₉	1	2	yes	—
754	#95	C₂³×C₁₃₉	1	2	yes	—
755	#95	C₂³×C₁₃₉	1	2	yes	—
756	#95	C₂³×C₁₃₉	1	2	yes	—
757	C₂⁴	—	2	2	no	—
758	C₂⁴	—	2	2	no	—
759	C₂⁴	—	2	2	no	—
760	C₂⁴	—	2	2	no	—
761	C₂⁴	—	2	2	no	—
762	C₂⁴	—	4	1	no	—
763	C₂⁴	—	4	1	no	—
764	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
765	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
766	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
767	C₂×Q₈	—	2	2	no	—
768	C₂×Q₈	—	2	2	no	—
769	C₂×Q₈	—	2	4	no	—
770	C₂×Q₈	—	2	2	no	—
771	C₂×Q₈	—	4	2	no	—
772	C₂×Q₈	—	4	2	no	—
773	C₂²×C₄	—	2	2	no	—
774	C₂²×C₄	—	2	2	no	—
775	C₂²×C₄	—	2	2	no	—
776	C₂²×C₄	—	2	2	no	—
777	C₂²×C₄	—	2	2	no	—
778	C₂²×C₄	—	2	2	no	—
779	C₂²×C₄	—	2	2	no	—
780	C₂²×C₄	—	2	2	no	—
781	C₂²×C₄	—	2	2	no	—
782	C₂²×C₄	—	2	2	no	—
783	C₂²×C₄	—	2	2	no	—
784	C₂²×C₄	—	2	2	no	—
785	C₂²×C₄	—	2	2	no	—
786	C₂²×C₄	—	2	2	no	—
787	C₂²×C₄	—	2	2	no	—
788	C₂²×C₄	—	2	2	no	—
789	C₂²×C₄	—	2	2	no	—
790	C₂²×C₄	—	2	2	no	—
791	C₂²×C₄	—	2	2	no	—
792	C₂²×C₄	—	2	2	no	—
793	C₂²×C₄	—	4	1	no	—
794	C₂²×C₄	—	4	1	no	—
795	C₂²×C₄	—	4	1	no	—
796	C₂²×C₄	—	4	1	no	—
797	C₂²×C₄	—	4	1	no	—
798	C₂²×C₄	—	4	1	no	—
799	C₂²×C₄	—	4	1	no	—
800	C₂²×C₄	—	4	16	no	—
801	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
802	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
803	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
804	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
805	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
806	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
807	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
808	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
809	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
810	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
811	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
812	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
813	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
814	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
815	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
816	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
817	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
818	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
819	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
820	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
821	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
822	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
823	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
824	C₄⋊C₄	—	2	2	no	—
825	C₄⋊C₄	—	2	2	no	—
826	C₄⋊C₄	—	2	4	no	—
827	C₄⋊C₄	—	2	2	no	—
828	C₄⋊C₄	—	2	2	no	—
829	C₄⋊C₄	—	2	4	no	—
830	C₄⋊C₄	—	2	4	no	—
831	C₄⋊C₄	—	2	4	no	—
832	C₄⋊C₄	—	2	4	no	—
833	C₄⋊C₄	—	2	4	no	—
834	C₄⋊C₄	—	2	4	no	—
835	C₄⋊C₄	—	2	4	no	—
836	C₄⋊C₄	—	2	2	no	—
837	C₄⋊C₄	—	2	2	no	—
838	C₄⋊C₄	—	2	2	no	—
839	C₄⋊C₄	—	4	2	no	—
840	C₄⋊C₄	—	4	2	no	—
841	C₄⋊C₄	—	4	2	no	—
842	C₄⋊C₄	—	4	2	no	—
843	C₂²⋊C₄	—	2	2	no	—
844	C₂²⋊C₄	—	2	4	no	—
845	C₂²⋊C₄	—	2	4	no	—
846	C₂²⋊C₄	—	2	4	no	—
847	C₂²⋊C₄	—	2	4	no	—
848	C₂²⋊C₄	—	2	4	no	—
849	C₂²⋊C₄	—	2	4	no	—
850	C₂²⋊C₄	—	2	4	no	—
851	C₂²⋊C₄	—	2	4	no	—
852	C₂²⋊C₄	—	2	2	no	—
853	C₂²⋊C₄	—	2	2	no	—
854	C₂²⋊C₄	—	2	2	no	—
855	C₂²⋊C₄	—	2	2	no	—
856	C₂²⋊C₄	—	2	2	no	—
857	C₂²⋊C₄	—	2	2	no	—
858	C₂²⋊C₄	—	4	2	no	—
859	C₂²⋊C₄	—	4	2	no	—
860	C₂²⋊C₄	—	4	2	no	—
861	C₂²⋊C₄	—	4	2	no	—
862	C₂²⋊C₄	#41×C₁₃₉	1	4	yes	—
863	C₄²	—	2	2	no	—
864	C₄²	—	2	2	no	—
865	C₄²	—	2	2	no	—
866	C₄²	—	2	2	no	—
867	C₄²	—	2	4	no	—
868	C₄²	—	2	4	no	—
869	C₄²	—	2	2	no	—
870	C₄²	—	2	2	no	—
871	C₄²	—	4	1	no	—
872	C₄²	—	4	1	no	—
873	C₄²	—	4	2	no	—
874	C₄²	—	4	2	no	—
875	C₄²	—	4	2	no	—
876	C₄²	—	4	2	no	—
877	C₂³	—	2	1	no	—
878	C₂³	—	2	1	no	—
879	C₂³	—	2	1	no	—
880	C₂³	—	2	1	no	—
881	C₂³	—	2	8	no	—
882	C₂³	—	2	1	no	—
883	C₂³	—	2	1	no	—
884	C₂³	—	2	1	no	—
885	C₂³	—	2	1	no	—
886	C₂³	—	2	1	no	—
887	C₂³	—	2	1	no	—
888	C₂³	—	2	1	no	—
889	C₂³	—	2	1	no	—
890	C₂³	—	2	1	no	—
891	C₂³	—	2	1	no	—
892	C₂³	—	2	1	no	—
893	C₂³	—	2	1	no	—
894	C₂³	—	4	4	no	—
895	C₂³	—	4	4	no	—
896	C₂³	—	4	4	no	—
897	C₂³	—	4	4	no	—
898	C₂³	—	4	4	no	—
899	C₂³	—	4	4	no	—
900	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
901	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
902	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
903	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
904	C₂³	2₋¹⁺⁴×C₁₃₉	1	2	yes	—
905	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
906	Q₈	—	4	4	no	—
907	Q₈	—	8	4	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	1	no	—
913	C₂×C₄	—	2	1	no	—
914	C₂×C₄	—	2	1	no	—
915	C₂×C₄	—	2	1	no	—
916	C₂×C₄	—	2	1	no	—
917	C₂×C₄	—	2	1	no	—
918	C₂×C₄	—	2	1	no	—
919	C₂×C₄	—	2	1	no	—
920	C₂×C₄	—	2	8	no	—
921	C₂×C₄	—	2	8	no	—
922	C₂×C₄	—	2	1	no	—
923	C₂×C₄	—	2	1	no	—
924	C₂×C₄	—	2	1	no	—
925	C₂×C₄	—	2	2	no	—
926	C₂×C₄	—	2	2	no	—
927	C₂×C₄	—	2	2	no	—
928	C₂×C₄	—	2	2	no	—
929	C₂×C₄	—	2	1	no	—
930	C₂×C₄	—	2	1	no	—
931	C₂×C₄	—	2	1	no	—
932	C₂×C₄	—	2	1	no	—
933	C₂×C₄	—	2	2	no	—
934	C₂×C₄	—	2	2	no	—
935	C₂×C₄	—	2	2	no	—
936	C₂×C₄	—	2	2	no	—
937	C₂×C₄	—	2	2	no	—
938	C₂×C₄	—	2	2	no	—
939	C₂×C₄	—	2	2	no	—
940	C₂×C₄	—	2	2	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	2	no	—
947	C₂×C₄	—	2	2	no	—
948	C₂×C₄	—	2	2	no	—
949	C₂×C₄	—	2	2	no	—
950	C₂×C₄	—	2	1	no	—
951	C₂×C₄	—	2	2	no	—
952	C₂×C₄	—	2	2	no	—
953	C₂×C₄	—	2	1	no	—
954	C₂×C₄	—	2	1	no	—
955	C₂×C₄	—	2	1	no	—
956	C₂×C₄	—	2	2	no	—
957	C₂×C₄	—	2	2	no	—
958	C₂×C₄	—	2	2	no	—
959	C₂×C₄	—	2	2	no	—
960	C₂×C₄	—	2	1	no	—
961	C₂×C₄	—	4	4	no	—
962	C₂×C₄	—	4	4	no	—
963	C₂×C₄	—	4	4	no	—
964	C₂×C₄	—	4	4	no	—
965	C₂×C₄	—	4	4	no	—
966	C₂×C₄	—	4	4	no	—
967	C₂×C₄	—	4	4	no	—
968	C₂×C₄	—	4	4	no	—
969	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
970	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
971	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
972	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
973	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
974	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
975	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
976	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
977	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
978	C₂²	—	2	2	no	—
979	C₂²	—	2	2	no	—
980	C₂²	—	2	2	no	—
981	C₂²	—	2	2	no	—
982	C₂²	—	2	2	no	—
983	C₂²	—	2	2	no	—
984	C₂²	—	2	2	no	—
985	C₂²	—	2	2	no	—
986	C₂²	—	2	2	no	—
987	C₂²	—	2	2	no	—
988	C₂²	—	2	2	no	—
989	C₂²	—	2	2	no	—
990	C₂²	—	4	16	no	—
991	C₂²	—	4	1	no	—
992	C₂²	—	4	1	no	—
993	C₂²	—	4	1	no	—
994	C₂²	—	4	1	no	—
995	C₂²	—	4	1	no	—
996	C₂²	—	4	1	no	—
997	C₂²	—	4	1	no	—
998	C₂²	—	4	1	no	—
999	C₂²	#556×C₁₃₉	1	4	yes	—
1000	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1001	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1002	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1003	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1004	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1005	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	1	yes	characteristic
1006	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1007	C₄	—	2	2	no	—
1008	C₄	—	2	2	no	—
1009	C₄	—	2	2	no	—
1010	C₄	—	2	2	no	—
1011	C₄	—	2	2	no	—
1012	C₄	—	2	2	no	—
1013	C₄	—	4	2	no	—
1014	C₄	—	4	2	no	—
1015	C₄	—	4	1	no	—
1016	C₄	—	4	2	no	—
1017	C₄	—	4	1	no	—
1018	C₄	—	4	1	no	—
1019	C₄	—	4	1	no	—
1020	C₄	—	4	2	no	—
1021	C₄	—	4	2	no	—
1022	C₄	—	4	2	no	—
1023	C₄	—	4	2	no	—
1024	C₄	—	4	1	no	—
1025	C₄	—	4	2	no	—
1026	C₄	#551×C₁₃₉	1	4	yes	—
1027	C₂	—	2	4	no	—
1028	C₂	—	4	2	no	—
1029	C₂	—	4	2	no	—
1030	C₂	#3444×C₁₃₉	1	1	yes	characteristic
1031	C₂	C₂×#551×C₁₃₉	1	1	yes	characteristic
1032	C₂	C₂×#556×C₁₃₉	1	1	yes	characteristic
1033	C₂	#3475×C₁₃₉	1	1	yes	characteristic
1034	C₂	#3495×C₁₃₉	1	1	yes	characteristic
1035	C₂	#3505×C₁₃₉	1	1	yes	characteristic
1036	C₂	#3520×C₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	C₂⁵×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. #2857×C₁₃₉	C₂	semidirect
2. #2855×C₁₃₉	C₂	semidirect
4. #2573×C₁₃₉	C₂	semidirect
6. #2527×C₁₃₉	C₂	semidirect
7. #2523×C₁₃₉	C₂	semidirect
8. #2499×C₁₃₉	C₂	semidirect
9. #2496×C₁₃₉	C₂	semidirect
10. #2494×C₁₃₉	C₂	semidirect
11. #2493×C₁₃₉	C₂	semidirect
12. #2492×C₁₃₉	C₂	semidirect
14. #2439×C₁₃₉	C₂	semidirect
15. #2421×C₁₃₉	C₂	semidirect
16. #2373×C₁₃₉	C₂	semidirect
17. #2368×C₁₃₉	C₂	semidirect
18. #2362×C₁₃₉	C₂	semidirect
19. #2347×C₁₃₉	C₂	semidirect
20. C₄×C₂²⋊Q₈×C₁₃₉	C₂	semidirect
21. #2283×C₁₃₉	C₂	semidirect
25. C₂×C₄⋊Q₈×C₁₃₉	C₂²	semidirect
31. C₂×C₄×Q₈×C₁₃₉	C₂²	semidirect
38. #401×C₁₃₉	C₂²	semidirect
39. #400×C₁₃₉	C₂²	semidirect
40. #400×C₁₃₉	C₂²	semidirect
41. #400×C₁₃₉	C₂²	semidirect
50. #391×C₁₃₉	C₂²	semidirect
51. #391×C₁₃₉	C₂²	semidirect
52. #391×C₁₃₉	C₂²	semidirect
53. #391×C₁₃₉	C₂²	semidirect
54. #391×C₁₃₉	C₂²	semidirect
55. #391×C₁₃₉	C₂²	semidirect
56. #389×C₁₃₉	C₂²	semidirect
57. #389×C₁₃₉	C₂²	semidirect
58. #389×C₁₃₉	C₂²	semidirect
59. #389×C₁₃₉	C₂²	semidirect
60. #389×C₁₃₉	C₂²	semidirect
61. #389×C₁₃₉	C₂²	semidirect
69. #387×C₁₃₉	C₂²	semidirect
70. #387×C₁₃₉	C₂²	semidirect
71. #387×C₁₃₉	C₂²	semidirect
72. #387×C₁₃₉	C₂²	semidirect
73. #387×C₁₃₉	C₂²	semidirect
74. #387×C₁₃₉	C₂²	semidirect
75. #387×C₁₃₉	C₂²	semidirect
76. #387×C₁₃₉	C₂²	semidirect
77. #387×C₁₃₉	C₂²	semidirect
78. #387×C₁₃₉	C₂²	semidirect
84. #384×C₁₃₉	C₂²	semidirect
85. #383×C₁₃₉	C₂²	semidirect
86. #383×C₁₃₉	C₂²	semidirect
87. #382×C₁₃₉	C₂²	semidirect
88. #382×C₁₃₉	C₂²	semidirect
102. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
103. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
104. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
105. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
106. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
107. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
120. #376×C₁₃₉	C₂²	semidirect
518. #36204	C₁₃₉	direct (N × H)
519. C₁₃₉	#36204	direct (N × H)
520. #2857	C₂×C₁₃₉	semidirect
521. #2855	C₂×C₁₃₉	semidirect
523. #2573	C₂×C₁₃₉	semidirect
525. #2527	C₂×C₁₃₉	semidirect
526. #2523	C₂×C₁₃₉	semidirect
527. #2499	C₂×C₁₃₉	semidirect
528. #2496	C₂×C₁₃₉	semidirect
529. #2494	C₂×C₁₃₉	semidirect
530. #2493	C₂×C₁₃₉	semidirect
531. #2492	C₂×C₁₃₉	semidirect
533. #2439	C₂×C₁₃₉	semidirect
534. #2421	C₂×C₁₃₉	semidirect
535. #2373	C₂×C₁₃₉	semidirect
536. #2368	C₂×C₁₃₉	semidirect
537. #2362	C₂×C₁₃₉	semidirect
538. #2347	C₂×C₁₃₉	semidirect
539. C₄×C₂²⋊Q₈	C₂×C₁₃₉	semidirect
540. #2283	C₂×C₁₃₉	semidirect
544. C₂×C₄⋊Q₈	C₂²×C₁₃₉	semidirect
550. C₂×C₄×Q₈	C₂²×C₁₃₉	semidirect
557. #401	C₂²×C₁₃₉	semidirect
558. #400	C₂²×C₁₃₉	semidirect
559. #400	C₂²×C₁₃₉	semidirect
560. #400	C₂²×C₁₃₉	semidirect
569. #391	C₂²×C₁₃₉	semidirect
570. #391	C₂²×C₁₃₉	semidirect
571. #391	C₂²×C₁₃₉	semidirect
572. #391	C₂²×C₁₃₉	semidirect
573. #391	C₂²×C₁₃₉	semidirect
574. #391	C₂²×C₁₃₉	semidirect
575. #389	C₂²×C₁₃₉	semidirect
576. #389	C₂²×C₁₃₉	semidirect
577. #389	C₂²×C₁₃₉	semidirect
578. #389	C₂²×C₁₃₉	semidirect
579. #389	C₂²×C₁₃₉	semidirect
580. #389	C₂²×C₁₃₉	semidirect
588. #387	C₂²×C₁₃₉	semidirect
589. #387	C₂²×C₁₃₉	semidirect
590. #387	C₂²×C₁₃₉	semidirect
591. #387	C₂²×C₁₃₉	semidirect
592. #387	C₂²×C₁₃₉	semidirect
593. #387	C₂²×C₁₃₉	semidirect
594. #387	C₂²×C₁₃₉	semidirect
595. #387	C₂²×C₁₃₉	semidirect
596. #387	C₂²×C₁₃₉	semidirect
597. #387	C₂²×C₁₃₉	semidirect
603. #384	C₂²×C₁₃₉	semidirect
604. #383	C₂²×C₁₃₉	semidirect
605. #383	C₂²×C₁₃₉	semidirect
606. #382	C₂²×C₁₃₉	semidirect
607. #382	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
626. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
639. #376	C₂²×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
#2857×C₁₃₉	2
#2855×C₁₃₉	2
#2848×C₁₃₉	2
#2573×C₁₃₉	2
#2561×C₁₃₉	2
#2527×C₁₃₉	2
#2523×C₁₃₉	2
#2499×C₁₃₉	2
#2496×C₁₃₉	2
#2494×C₁₃₉	2
#2493×C₁₃₉	2
#2492×C₁₃₉	2
#2480×C₁₃₉	2
#2439×C₁₃₉	2
#2421×C₁₃₉	2
#2373×C₁₃₉	2
#2368×C₁₃₉	2
#2362×C₁₃₉	2
#2347×C₁₃₉	2
C₄×C₂²⋊Q₈×C₁₃₉	2
#2283×C₁₃₉	2
#2280×C₁₃₉	2
C₂×C₄×C₂²⋊C₄×C₁₃₉	2
#36204	139

Subgroups — C139×#36204 #48030800

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36204 #48030800