Subgroups — C₁₃₉×#37132 #48031728

Order 35584.

2456 conjugacy classes of subgroups.

The subgroup lattice has 1034 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#538×C₁₃₉	C₂	1	2	yes	maximal, complemented
2	#2860×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2858×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2727×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2705×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2682×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2682×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2679×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2678×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2674×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2672×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2670×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2669×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2662×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2602×C₁₃₉	C₂	1	2	yes	maximal, complemented
16	#2539×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2414×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	#2411×C₁₃₉	C₂	1	2	yes	maximal, complemented
19	#2293×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#538×C₁₃₉	—	2	16	no	—
21	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
22	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic
23	C₂×#126×C₁₃₉	C₂²	1	2	yes	complemented
24	C₂×#126×C₁₃₉	C₂²	1	2	yes	complemented
25	C₂×#124×C₁₃₉	C₂²	1	2	yes	—
26	C₂×#124×C₁₃₉	C₂²	1	2	yes	complemented
27	C₂×#124×C₁₃₉	C₂²	1	2	yes	complemented
28	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
29	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
30	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
31	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
32	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	complemented
33	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
34	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
35	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
36	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
37	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
38	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
39	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
40	C₂×#120×C₁₃₉	C₂²	1	2	yes	complemented
41	C₂×#120×C₁₃₉	C₂²	1	2	yes	complemented
42	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
44	C₂×#117×C₁₃₉	C₂²	1	2	yes	complemented
45	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
46	#399×C₁₃₉	C₂²	1	2	yes	complemented
47	#399×C₁₃₉	C₂²	1	2	yes	complemented
48	#397×C₁₃₉	C₂²	1	2	yes	complemented
49	#396×C₁₃₉	C₂²	1	2	yes	complemented
50	#396×C₁₃₉	C₂²	1	2	yes	complemented
51	#396×C₁₃₉	C₂²	1	2	yes	complemented
52	#396×C₁₃₉	C₂²	1	2	yes	complemented
53	#395×C₁₃₉	C₂²	1	2	yes	complemented
54	#394×C₁₃₉	C₂²	1	2	yes	—
55	#394×C₁₃₉	C₂²	1	2	yes	—
56	#394×C₁₃₉	C₂²	1	2	yes	—
57	#394×C₁₃₉	C₂²	1	2	yes	—
58	#394×C₁₃₉	C₂²	1	2	yes	—
59	#394×C₁₃₉	C₂²	1	2	yes	complemented
60	#394×C₁₃₉	C₂²	1	2	yes	complemented
61	#394×C₁₃₉	C₂²	1	2	yes	complemented
62	#394×C₁₃₉	C₂²	1	2	yes	complemented
63	#393×C₁₃₉	C₂²	1	2	yes	complemented
64	#392×C₁₃₉	C₂²	1	2	yes	—
65	#392×C₁₃₉	C₂²	1	2	yes	—
66	#392×C₁₃₉	C₂²	1	2	yes	—
67	#392×C₁₃₉	C₂²	1	2	yes	—
68	#392×C₁₃₉	C₂²	1	2	yes	—
69	#392×C₁₃₉	C₂²	1	2	yes	complemented
70	#390×C₁₃₉	C₂²	1	1	yes	characteristic
71	#390×C₁₃₉	C₂²	1	2	yes	—
72	#390×C₁₃₉	C₂²	1	1	yes	characteristic
73	#390×C₁₃₉	C₂²	1	1	yes	characteristic
74	#390×C₁₃₉	C₂²	1	1	yes	characteristic
75	#390×C₁₃₉	C₂²	1	1	yes	characteristic
76	#390×C₁₃₉	C₂²	1	1	yes	characteristic
77	#390×C₁₃₉	C₂²	1	1	yes	characteristic
78	#390×C₁₃₉	C₂²	1	2	yes	complemented
79	#390×C₁₃₉	C₂²	1	2	yes	complemented
80	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
81	#390×C₁₃₉	C₂²	1	2	yes	complemented
82	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
83	#390×C₁₃₉	C₂²	1	2	yes	complemented
84	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
85	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
86	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
87	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
88	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
89	#389×C₁₃₉	C₂²	1	2	yes	complemented
90	#388×C₁₃₉	C₂²	1	2	yes	complemented
91	#388×C₁₃₉	C₂²	1	2	yes	complemented
92	#388×C₁₃₉	C₂²	1	2	yes	complemented
93	#388×C₁₃₉	C₂²	1	2	yes	complemented
94	#388×C₁₃₉	C₂²	1	2	yes	complemented
95	#388×C₁₃₉	C₂²	1	2	yes	complemented
96	#388×C₁₃₉	C₂²	1	2	yes	complemented
97	#388×C₁₃₉	C₂²	1	2	yes	complemented
98	#387×C₁₃₉	C₂²	1	2	yes	complemented
99	#386×C₁₃₉	C₂²	1	2	yes	—
100	#386×C₁₃₉	C₂²	1	2	yes	complemented
101	#385×C₁₃₉	C₂²	1	2	yes	complemented
102	#385×C₁₃₉	C₂²	1	2	yes	complemented
103	#380×C₁₃₉	C₂²	1	2	yes	complemented
104	#379×C₁₃₉	C₂²	1	2	yes	complemented
105	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
106	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
107	C₄³×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
108	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
109	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
110	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
111	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
112	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
113	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
114	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
115	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
116	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
117	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
118	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
119	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
120	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
121	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
122	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
123	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
124	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
125	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
126	C₄⋊Q₈×C₁₃₉	—	4	2	no	—
127	#127×C₁₃₉	—	4	2	no	—
128	#126×C₁₃₉	—	2	8	no	—
129	#126×C₁₃₉	—	2	8	no	—
130	#124×C₁₃₉	—	2	8	no	—
131	#124×C₁₃₉	—	2	8	no	—
132	#124×C₁₃₉	—	4	4	no	—
133	#123×C₁₃₉	—	2	8	no	—
134	#123×C₁₃₉	—	2	8	no	—
135	#123×C₁₃₉	—	4	4	no	—
136	#123×C₁₃₉	—	4	4	no	—
137	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
138	#121×C₁₃₉	—	2	8	no	—
139	#121×C₁₃₉	—	2	8	no	—
140	#121×C₁₃₉	—	2	8	no	—
141	#121×C₁₃₉	—	4	4	no	—
142	#120×C₁₃₉	—	2	8	no	—
143	#120×C₁₃₉	—	2	8	no	—
144	#120×C₁₃₉	—	4	4	no	—
145	#120×C₁₃₉	—	4	4	no	—
146	#120×C₁₃₉	—	4	4	no	—
147	C₄×D₄×C₁₃₉	—	2	8	no	—
148	C₄×D₄×C₁₃₉	D₄	1	8	yes	complemented
149	#117×C₁₃₉	—	4	4	no	—
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	2	yes	—
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	1	yes	characteristic
162	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
163	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
164	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
165	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	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×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
169	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
170	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
171	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
172	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
173	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
174	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	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	2	yes	—
178	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
179	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
180	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
182	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	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	2	yes	—
189	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
190	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
191	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
192	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
193	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
196	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
197	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
198	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
199	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
200	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
201	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
202	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
203	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
204	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
205	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
206	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
210	#95×C₁₃₉	C₂³	1	2	yes	—
211	#95×C₁₃₉	C₂³	1	2	yes	—
212	#95×C₁₃₉	C₂³	1	2	yes	—
213	#95×C₁₃₉	C₂³	1	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	C₂⁴×C₁₃₉	—	2	4	no	—
221	C₂⁴×C₁₃₉	—	4	2	no	—
222	C₂⁴×C₁₃₉	—	4	2	no	—
223	C₂⁴×C₁₃₉	—	4	2	no	—
224	C₂⁴×C₁₃₉	—	4	2	no	—
225	C₂⁴×C₁₃₉	—	4	2	no	—
226	C₂⁴×C₁₃₉	—	4	2	no	—
227	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
228	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
229	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
230	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
231	C₂×Q₈×C₁₃₉	—	2	4	no	—
232	C₂×Q₈×C₁₃₉	—	4	2	no	—
233	C₂×Q₈×C₁₃₉	—	4	2	no	—
234	C₂×D₄×C₁₃₉	—	2	4	no	—
235	C₂×D₄×C₁₃₉	—	2	4	no	—
236	C₂×D₄×C₁₃₉	—	2	4	no	—
237	C₂×D₄×C₁₃₉	—	2	4	no	—
238	C₂×D₄×C₁₃₉	—	2	4	no	—
239	C₂×D₄×C₁₃₉	—	2	4	no	—
240	C₂×D₄×C₁₃₉	—	2	2	no	—
241	C₂×D₄×C₁₃₉	—	2	2	no	—
242	C₂×D₄×C₁₃₉	—	2	4	no	—
243	C₂×D₄×C₁₃₉	—	2	2	no	—
244	C₂×D₄×C₁₃₉	—	4	1	no	—
245	C₂×D₄×C₁₃₉	—	4	1	no	—
246	C₂×D₄×C₁₃₉	—	4	2	no	—
247	C₂×D₄×C₁₃₉	—	4	2	no	—
248	C₂×D₄×C₁₃₉	—	4	2	no	—
249	C₂×D₄×C₁₃₉	—	4	2	no	—
250	C₂×D₄×C₁₃₉	—	4	2	no	—
251	C₂×D₄×C₁₃₉	—	4	2	no	—
252	C₂×D₄×C₁₃₉	—	4	2	no	—
253	C₂×D₄×C₁₃₉	—	4	2	no	—
254	C₂×D₄×C₁₃₉	—	4	2	no	—
255	C₂×D₄×C₁₃₉	—	4	2	no	—
256	C₂×D₄×C₁₃₉	—	4	2	no	—
257	C₂×D₄×C₁₃₉	—	4	2	no	—
258	C₂×D₄×C₁₃₉	—	4	2	no	—
259	C₂×D₄×C₁₃₉	—	4	1	no	—
260	C₂×D₄×C₁₃₉	—	4	1	no	—
261	C₂×D₄×C₁₃₉	—	4	2	no	—
262	C₂×D₄×C₁₃₉	—	4	1	no	—
263	C₂×D₄×C₁₃₉	—	4	1	no	—
264	C₂×D₄×C₁₃₉	—	4	2	no	—
265	C₂×D₄×C₁₃₉	—	4	1	no	—
266	C₂×D₄×C₁₃₉	—	4	2	no	—
267	C₂×D₄×C₁₃₉	—	4	1	no	—
268	C₂×D₄×C₁₃₉	—	4	2	no	—
269	C₂×D₄×C₁₃₉	—	4	2	no	—
270	C₂×D₄×C₁₃₉	—	4	2	no	—
271	C₂×D₄×C₁₃₉	—	4	2	no	—
272	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
273	C₂²×C₄×C₁₃₉	—	2	4	no	—
274	C₂²×C₄×C₁₃₉	—	2	4	no	—
275	C₂²×C₄×C₁₃₉	—	4	2	no	—
276	C₂²×C₄×C₁₃₉	—	4	2	no	—
277	C₂²×C₄×C₁₃₉	—	4	2	no	—
278	C₂²×C₄×C₁₃₉	—	4	2	no	—
279	C₂²×C₄×C₁₃₉	—	4	2	no	—
280	C₂²×C₄×C₁₃₉	—	4	2	no	—
281	C₂²×C₄×C₁₃₉	C₂×D₄	1	8	yes	—
282	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
283	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
284	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
285	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
286	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
287	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
288	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
289	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
290	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
291	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
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	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
296	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
297	C₄⋊C₄×C₁₃₉	—	2	4	no	—
298	C₄⋊C₄×C₁₃₉	—	2	4	no	—
299	C₄⋊C₄×C₁₃₉	—	2	4	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	2	no	—
304	C₄⋊C₄×C₁₃₉	—	2	4	no	—
305	C₄⋊C₄×C₁₃₉	—	4	1	no	—
306	C₄⋊C₄×C₁₃₉	—	4	1	no	—
307	C₄⋊C₄×C₁₃₉	—	4	1	no	—
308	C₄⋊C₄×C₁₃₉	—	4	1	no	—
309	C₄⋊C₄×C₁₃₉	—	4	2	no	—
310	C₄⋊C₄×C₁₃₉	—	4	2	no	—
311	C₄⋊C₄×C₁₃₉	—	4	2	no	—
312	C₄⋊C₄×C₁₃₉	—	4	1	no	—
313	C₄⋊C₄×C₁₃₉	—	4	1	no	—
314	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
315	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
316	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
317	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
318	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
319	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
320	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
321	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
322	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
323	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
324	C₂²⋊C₄×C₁₃₉	—	2	4	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	4	no	—
334	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
335	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
336	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
337	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
338	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
339	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
340	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
341	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
342	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
343	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
344	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
345	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
346	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	—
347	C₄²×C₁₃₉	—	2	4	no	—
348	C₄²×C₁₃₉	—	2	2	no	—
349	C₄²×C₁₃₉	—	2	2	no	—
350	C₄²×C₁₃₉	—	2	2	no	—
351	C₄²×C₁₃₉	—	4	1	no	—
352	C₄²×C₁₃₉	—	4	1	no	—
353	C₄²×C₁₃₉	—	4	1	no	—
354	C₄²×C₁₃₉	—	4	2	no	—
355	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
356	C₂³×C₁₃₉	—	2	2	no	—
357	C₂³×C₁₃₉	—	2	2	no	—
358	C₂³×C₁₃₉	—	2	2	no	—
359	C₂³×C₁₃₉	—	2	2	no	—
360	C₂³×C₁₃₉	—	2	2	no	—
361	C₂³×C₁₃₉	—	2	2	no	—
362	C₂³×C₁₃₉	—	2	2	no	—
363	C₂³×C₁₃₉	—	2	2	no	—
364	C₂³×C₁₃₉	—	2	2	no	—
365	C₂³×C₁₃₉	—	2	2	no	—
366	C₂³×C₁₃₉	—	2	2	no	—
367	C₂³×C₁₃₉	—	2	2	no	—
368	C₂³×C₁₃₉	—	2	2	no	—
369	C₂³×C₁₃₉	—	2	2	no	—
370	C₂³×C₁₃₉	—	2	2	no	—
371	C₂³×C₁₃₉	—	2	2	no	—
372	C₂³×C₁₃₉	—	2	2	no	—
373	C₂³×C₁₃₉	—	2	2	no	—
374	C₂³×C₁₃₉	—	2	2	no	—
375	C₂³×C₁₃₉	—	2	2	no	—
376	C₂³×C₁₃₉	—	2	2	no	—
377	C₂³×C₁₃₉	—	2	2	no	—
378	C₂³×C₁₃₉	—	2	2	no	—
379	C₂³×C₁₃₉	—	2	2	no	—
380	C₂³×C₁₃₉	—	2	2	no	—
381	C₂³×C₁₃₉	—	2	2	no	—
382	C₂³×C₁₃₉	—	2	2	no	—
383	C₂³×C₁₃₉	—	4	8	no	—
384	C₂³×C₁₃₉	—	8	4	no	—
385	C₂³×C₁₃₉	—	8	4	no	—
386	C₂³×C₁₃₉	—	8	4	no	—
387	C₂³×C₁₃₉	—	8	4	no	—
388	C₂³×C₁₃₉	—	8	4	no	—
389	C₂³×C₁₃₉	—	8	4	no	—
390	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
391	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
392	Q₈×C₁₃₉	—	8	4	no	—
393	D₄×C₁₃₉	—	4	4	no	—
394	D₄×C₁₃₉	—	4	8	no	—
395	D₄×C₁₃₉	—	8	4	no	—
396	D₄×C₁₃₉	—	8	4	no	—
397	D₄×C₁₃₉	—	8	4	no	—
398	D₄×C₁₃₉	—	8	2	no	—
399	D₄×C₁₃₉	—	8	2	no	—
400	D₄×C₁₃₉	—	8	2	no	—
401	D₄×C₁₃₉	—	8	4	no	—
402	D₄×C₁₃₉	—	8	4	no	—
403	D₄×C₁₃₉	—	8	4	no	—
404	D₄×C₁₃₉	—	8	4	no	—
405	D₄×C₁₃₉	—	8	4	no	—
406	C₂×C₄×C₁₃₉	—	2	1	no	—
407	C₂×C₄×C₁₃₉	—	2	1	no	—
408	C₂×C₄×C₁₃₉	—	2	1	no	—
409	C₂×C₄×C₁₃₉	—	2	1	no	—
410	C₂×C₄×C₁₃₉	—	2	2	no	—
411	C₂×C₄×C₁₃₉	—	2	1	no	—
412	C₂×C₄×C₁₃₉	—	2	1	no	—
413	C₂×C₄×C₁₃₉	—	2	1	no	—
414	C₂×C₄×C₁₃₉	—	2	1	no	—
415	C₂×C₄×C₁₃₉	—	2	1	no	—
416	C₂×C₄×C₁₃₉	—	2	1	no	—
417	C₂×C₄×C₁₃₉	—	2	1	no	—
418	C₂×C₄×C₁₃₉	—	2	1	no	—
419	C₂×C₄×C₁₃₉	—	2	2	no	—
420	C₂×C₄×C₁₃₉	—	2	2	no	—
421	C₂×C₄×C₁₃₉	—	2	2	no	—
422	C₂×C₄×C₁₃₉	—	2	2	no	—
423	C₂×C₄×C₁₃₉	—	2	2	no	—
424	C₂×C₄×C₁₃₉	—	2	2	no	—
425	C₂×C₄×C₁₃₉	—	2	1	no	—
426	C₂×C₄×C₁₃₉	—	2	1	no	—
427	C₂×C₄×C₁₃₉	—	2	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	2	no	—
432	C₂×C₄×C₁₃₉	—	2	2	no	—
433	C₂×C₄×C₁₃₉	—	2	2	no	—
434	C₂×C₄×C₁₃₉	—	2	2	no	—
435	C₂×C₄×C₁₃₉	—	2	2	no	—
436	C₂×C₄×C₁₃₉	—	2	2	no	—
437	C₂×C₄×C₁₃₉	—	2	2	no	—
438	C₂×C₄×C₁₃₉	—	2	1	no	—
439	C₂×C₄×C₁₃₉	—	2	2	no	—
440	C₂×C₄×C₁₃₉	—	2	2	no	—
441	C₂×C₄×C₁₃₉	—	2	2	no	—
442	C₂×C₄×C₁₃₉	—	2	2	no	—
443	C₂×C₄×C₁₃₉	—	2	2	no	—
444	C₂×C₄×C₁₃₉	—	4	8	no	—
445	C₂×C₄×C₁₃₉	—	8	4	no	—
446	C₂×C₄×C₁₃₉	—	8	4	no	—
447	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
448	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
449	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
450	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
451	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
452	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
453	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
454	C₂²×C₁₃₉	—	2	4	no	—
455	C₂²×C₁₃₉	—	2	4	no	—
456	C₂²×C₁₃₉	—	2	4	no	—
457	C₂²×C₁₃₉	—	4	2	no	—
458	C₂²×C₁₃₉	—	4	2	no	—
459	C₂²×C₁₃₉	—	4	2	no	—
460	C₂²×C₁₃₉	—	4	2	no	—
461	C₂²×C₁₃₉	—	4	2	no	—
462	C₂²×C₁₃₉	—	4	2	no	—
463	C₂²×C₁₃₉	—	4	2	no	—
464	C₂²×C₁₃₉	—	4	2	no	—
465	C₂²×C₁₃₉	—	4	2	no	—
466	C₂²×C₁₃₉	—	4	2	no	—
467	C₂²×C₁₃₉	—	4	2	no	—
468	C₂²×C₁₃₉	—	4	2	no	—
469	C₂²×C₁₃₉	—	4	2	no	—
470	C₂²×C₁₃₉	—	4	2	no	—
471	C₂²×C₁₃₉	—	4	2	no	—
472	C₂²×C₁₃₉	—	4	2	no	—
473	C₂²×C₁₃₉	—	4	2	no	—
474	C₂²×C₁₃₉	—	4	2	no	—
475	C₂²×C₁₃₉	—	4	2	no	—
476	C₂²×C₁₃₉	—	4	2	no	—
477	C₂²×C₁₃₉	—	4	2	no	—
478	C₂²×C₁₃₉	—	4	2	no	—
479	C₂²×C₁₃₉	—	4	2	no	—
480	C₂²×C₁₃₉	—	4	2	no	—
481	C₂²×C₁₃₉	—	4	2	no	—
482	C₂²×C₁₃₉	—	8	16	no	—
483	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
484	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
485	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
486	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
487	C₂²×C₁₃₉	#585	1	1	yes	characteristic
488	C₂²×C₁₃₉	#585	1	1	yes	characteristic
489	C₂²×C₁₃₉	#585	1	1	yes	characteristic
490	C₄×C₁₃₉	—	2	2	no	—
491	C₄×C₁₃₉	—	2	2	no	—
492	C₄×C₁₃₉	—	2	4	no	—
493	C₄×C₁₃₉	—	2	2	no	—
494	C₄×C₁₃₉	—	2	2	no	—
495	C₄×C₁₃₉	—	2	2	no	—
496	C₄×C₁₃₉	—	2	2	no	—
497	C₄×C₁₃₉	—	4	2	no	—
498	C₄×C₁₃₉	—	4	2	no	—
499	C₄×C₁₃₉	—	4	2	no	—
500	C₄×C₁₃₉	—	4	2	no	—
501	C₄×C₁₃₉	—	4	2	no	—
502	C₄×C₁₃₉	—	4	1	no	—
503	C₄×C₁₃₉	—	4	2	no	—
504	C₄×C₁₃₉	—	4	2	no	—
505	C₂×C₁₃₉	—	4	4	no	—
506	C₂×C₁₃₉	—	8	2	no	—
507	C₂×C₁₃₉	—	8	2	no	—
508	C₂×C₁₃₉	—	8	2	no	—
509	C₂×C₁₃₉	#3449	1	1	yes	characteristic
510	C₂×C₁₃₉	#3496	1	1	yes	characteristic
511	C₂×C₁₃₉	#3498	1	1	yes	characteristic
512	C₂×C₁₃₉	#3545	1	1	yes	characteristic
513	C₂×C₁₃₉	#3546	1	1	yes	characteristic
514	C₂×C₁₃₉	#3558	1	1	yes	characteristic
515	C₂×C₁₃₉	#3560	1	1	yes	characteristic
516	#37132	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
517	C₁₃₉	#37132	1	1	yes	characteristic, direct product factor, Sylow
518	C₂×#538	C₂×C₁₃₉	1	2	yes	complemented
519	#2860	C₂×C₁₃₉	1	1	yes	characteristic, complemented
520	#2858	C₂×C₁₃₉	1	1	yes	characteristic, complemented
521	#2727	C₂×C₁₃₉	1	1	yes	characteristic, complemented
522	#2705	C₂×C₁₃₉	1	2	yes	complemented
523	#2682	C₂×C₁₃₉	1	1	yes	characteristic, complemented
524	#2682	C₂×C₁₃₉	1	1	yes	characteristic, complemented
525	#2679	C₂×C₁₃₉	1	1	yes	characteristic, complemented
526	#2678	C₂×C₁₃₉	1	2	yes	complemented
527	#2674	C₂×C₁₃₉	1	2	yes	complemented
528	#2672	C₂×C₁₃₉	1	2	yes	complemented
529	#2670	C₂×C₁₃₉	1	2	yes	complemented
530	#2669	C₂×C₁₃₉	1	2	yes	complemented
531	#2662	C₂×C₁₃₉	1	2	yes	complemented
532	#2602	C₂×C₁₃₉	1	2	yes	complemented
533	#2539	C₂×C₁₃₉	1	2	yes	complemented
534	#2414	C₂×C₁₃₉	1	2	yes	complemented
535	#2411	C₂×C₁₃₉	1	2	yes	complemented
536	#2293	C₂×C₁₃₉	1	1	yes	characteristic, complemented
537	#538	—	2	16	no	—
538	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
539	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic
540	C₂×#126	C₂²×C₁₃₉	1	2	yes	complemented
541	C₂×#126	C₂²×C₁₃₉	1	2	yes	complemented
542	C₂×#124	C₂²×C₁₃₉	1	2	yes	—
543	C₂×#124	C₂²×C₁₃₉	1	2	yes	complemented
544	C₂×#124	C₂²×C₁₃₉	1	2	yes	complemented
545	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
546	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
547	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
548	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
549	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	complemented
550	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
551	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
552	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
553	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
554	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
555	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
556	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
557	C₂×#120	C₂²×C₁₃₉	1	2	yes	complemented
558	C₂×#120	C₂²×C₁₃₉	1	2	yes	complemented
559	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
560	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
561	C₂×#117	C₂²×C₁₃₉	1	2	yes	complemented
562	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
563	#399	C₂²×C₁₃₉	1	2	yes	complemented
564	#399	C₂²×C₁₃₉	1	2	yes	complemented
565	#397	C₂²×C₁₃₉	1	2	yes	complemented
566	#396	C₂²×C₁₃₉	1	2	yes	complemented
567	#396	C₂²×C₁₃₉	1	2	yes	complemented
568	#396	C₂²×C₁₃₉	1	2	yes	complemented
569	#396	C₂²×C₁₃₉	1	2	yes	complemented
570	#395	C₂²×C₁₃₉	1	2	yes	complemented
571	#394	C₂²×C₁₃₉	1	2	yes	—
572	#394	C₂²×C₁₃₉	1	2	yes	—
573	#394	C₂²×C₁₃₉	1	2	yes	—
574	#394	C₂²×C₁₃₉	1	2	yes	—
575	#394	C₂²×C₁₃₉	1	2	yes	—
576	#394	C₂²×C₁₃₉	1	2	yes	complemented
577	#394	C₂²×C₁₃₉	1	2	yes	complemented
578	#394	C₂²×C₁₃₉	1	2	yes	complemented
579	#394	C₂²×C₁₃₉	1	2	yes	complemented
580	#393	C₂²×C₁₃₉	1	2	yes	complemented
581	#392	C₂²×C₁₃₉	1	2	yes	—
582	#392	C₂²×C₁₃₉	1	2	yes	—
583	#392	C₂²×C₁₃₉	1	2	yes	—
584	#392	C₂²×C₁₃₉	1	2	yes	—
585	#392	C₂²×C₁₃₉	1	2	yes	—
586	#392	C₂²×C₁₃₉	1	2	yes	complemented
587	#390	C₂²×C₁₃₉	1	1	yes	characteristic
588	#390	C₂²×C₁₃₉	1	1	yes	characteristic
589	#390	C₂²×C₁₃₉	1	1	yes	characteristic
590	#390	C₂²×C₁₃₉	1	1	yes	characteristic
591	#390	C₂²×C₁₃₉	1	1	yes	characteristic
592	#390	C₂²×C₁₃₉	1	2	yes	—
593	#390	C₂²×C₁₃₉	1	1	yes	characteristic
594	#390	C₂²×C₁₃₉	1	1	yes	characteristic
595	#390	C₂²×C₁₃₉	1	2	yes	complemented
596	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
597	#390	C₂²×C₁₃₉	1	2	yes	complemented
598	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
599	#390	C₂²×C₁₃₉	1	2	yes	complemented
600	#390	C₂²×C₁₃₉	1	2	yes	complemented
601	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
602	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
603	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
604	#389	C₂²×C₁₃₉	1	2	yes	complemented
605	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
606	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
607	#388	C₂²×C₁₃₉	1	2	yes	complemented
608	#388	C₂²×C₁₃₉	1	2	yes	complemented
609	#388	C₂²×C₁₃₉	1	2	yes	complemented
610	#388	C₂²×C₁₃₉	1	2	yes	complemented
611	#388	C₂²×C₁₃₉	1	2	yes	complemented
612	#388	C₂²×C₁₃₉	1	2	yes	complemented
613	#388	C₂²×C₁₃₉	1	2	yes	complemented
614	#388	C₂²×C₁₃₉	1	2	yes	complemented
615	#387	C₂²×C₁₃₉	1	2	yes	complemented
616	#386	C₂²×C₁₃₉	1	2	yes	—
617	#386	C₂²×C₁₃₉	1	2	yes	complemented
618	#385	C₂²×C₁₃₉	1	2	yes	complemented
619	#385	C₂²×C₁₃₉	1	2	yes	complemented
620	#380	C₂²×C₁₃₉	1	2	yes	complemented
621	#379	C₂²×C₁₃₉	1	2	yes	complemented
622	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
623	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
624	C₄³	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
625	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
626	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
627	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
628	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
629	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
630	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
631	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
632	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
633	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
634	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
635	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
636	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
637	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
638	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
639	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
640	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
641	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
642	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
643	C₄⋊Q₈	—	4	2	no	—
644	#127	—	4	2	no	—
645	#126	—	2	8	no	—
646	#126	—	2	8	no	—
647	#124	—	2	8	no	—
648	#124	—	2	8	no	—
649	#124	—	4	4	no	—
650	#123	—	2	8	no	—
651	#123	—	2	8	no	—
652	#123	—	4	4	no	—
653	#123	—	4	4	no	—
654	C₂²⋊Q₈	—	2	8	no	—
655	#121	—	2	8	no	—
656	#121	—	2	8	no	—
657	#121	—	2	8	no	—
658	#121	—	4	4	no	—
659	#120	—	2	8	no	—
660	#120	—	2	8	no	—
661	#120	—	4	4	no	—
662	#120	—	4	4	no	—
663	#120	—	4	4	no	—
664	C₄×D₄	—	2	8	no	—
665	C₄×D₄	D₄×C₁₃₉	1	8	yes	complemented
666	#117	—	4	4	no	—
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	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	1	yes	characteristic
679	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
680	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
681	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
682	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
683	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
684	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
685	C₂×C₂²⋊C₄	—	2	8	no	—
686	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
687	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
688	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
689	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
690	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
691	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
692	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
693	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
694	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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	2	yes	—
708	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
709	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
710	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
711	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
712	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
713	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
714	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
715	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
716	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
717	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
718	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
719	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
720	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
721	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
722	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
723	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
724	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
725	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
726	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
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	#95	C₂³×C₁₃₉	1	2	yes	—
736	#95	C₂³×C₁₃₉	1	2	yes	—
737	C₂⁴	—	2	4	no	—
738	C₂⁴	—	4	2	no	—
739	C₂⁴	—	4	2	no	—
740	C₂⁴	—	4	2	no	—
741	C₂⁴	—	4	2	no	—
742	C₂⁴	—	4	2	no	—
743	C₂⁴	—	4	2	no	—
744	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
745	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
746	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
747	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
748	C₂×Q₈	—	2	4	no	—
749	C₂×Q₈	—	4	2	no	—
750	C₂×Q₈	—	4	2	no	—
751	C₂×D₄	—	2	4	no	—
752	C₂×D₄	—	2	4	no	—
753	C₂×D₄	—	2	4	no	—
754	C₂×D₄	—	2	4	no	—
755	C₂×D₄	—	2	4	no	—
756	C₂×D₄	—	2	4	no	—
757	C₂×D₄	—	2	2	no	—
758	C₂×D₄	—	2	2	no	—
759	C₂×D₄	—	2	4	no	—
760	C₂×D₄	—	2	2	no	—
761	C₂×D₄	—	4	1	no	—
762	C₂×D₄	—	4	1	no	—
763	C₂×D₄	—	4	2	no	—
764	C₂×D₄	—	4	2	no	—
765	C₂×D₄	—	4	2	no	—
766	C₂×D₄	—	4	2	no	—
767	C₂×D₄	—	4	2	no	—
768	C₂×D₄	—	4	2	no	—
769	C₂×D₄	—	4	2	no	—
770	C₂×D₄	—	4	2	no	—
771	C₂×D₄	—	4	2	no	—
772	C₂×D₄	—	4	2	no	—
773	C₂×D₄	—	4	2	no	—
774	C₂×D₄	—	4	2	no	—
775	C₂×D₄	—	4	2	no	—
776	C₂×D₄	—	4	1	no	—
777	C₂×D₄	—	4	1	no	—
778	C₂×D₄	—	4	2	no	—
779	C₂×D₄	—	4	1	no	—
780	C₂×D₄	—	4	1	no	—
781	C₂×D₄	—	4	2	no	—
782	C₂×D₄	—	4	1	no	—
783	C₂×D₄	—	4	2	no	—
784	C₂×D₄	—	4	1	no	—
785	C₂×D₄	—	4	2	no	—
786	C₂×D₄	—	4	2	no	—
787	C₂×D₄	—	4	2	no	—
788	C₂×D₄	—	4	2	no	—
789	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
790	C₂²×C₄	—	2	4	no	—
791	C₂²×C₄	—	2	4	no	—
792	C₂²×C₄	—	4	2	no	—
793	C₂²×C₄	—	4	2	no	—
794	C₂²×C₄	—	4	2	no	—
795	C₂²×C₄	—	4	2	no	—
796	C₂²×C₄	—	4	2	no	—
797	C₂²×C₄	—	4	2	no	—
798	C₂²×C₄	C₂×D₄×C₁₃₉	1	8	yes	—
799	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
800	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
801	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
802	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
803	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
804	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
805	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
806	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
807	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
808	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
809	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
810	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
811	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
812	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
813	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
814	C₄⋊C₄	—	2	4	no	—
815	C₄⋊C₄	—	2	4	no	—
816	C₄⋊C₄	—	2	4	no	—
817	C₄⋊C₄	—	2	4	no	—
818	C₄⋊C₄	—	2	4	no	—
819	C₄⋊C₄	—	2	4	no	—
820	C₄⋊C₄	—	2	2	no	—
821	C₄⋊C₄	—	2	4	no	—
822	C₄⋊C₄	—	4	1	no	—
823	C₄⋊C₄	—	4	1	no	—
824	C₄⋊C₄	—	4	1	no	—
825	C₄⋊C₄	—	4	1	no	—
826	C₄⋊C₄	—	4	2	no	—
827	C₄⋊C₄	—	4	2	no	—
828	C₄⋊C₄	—	4	2	no	—
829	C₄⋊C₄	—	4	1	no	—
830	C₄⋊C₄	—	4	1	no	—
831	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
832	C₂²⋊C₄	—	2	4	no	—
833	C₂²⋊C₄	—	2	4	no	—
834	C₂²⋊C₄	—	2	4	no	—
835	C₂²⋊C₄	—	2	4	no	—
836	C₂²⋊C₄	—	2	4	no	—
837	C₂²⋊C₄	—	2	4	no	—
838	C₂²⋊C₄	—	2	4	no	—
839	C₂²⋊C₄	—	2	4	no	—
840	C₂²⋊C₄	—	2	4	no	—
841	C₂²⋊C₄	—	2	4	no	—
842	C₂²⋊C₄	—	2	4	no	—
843	C₂²⋊C₄	—	2	4	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	—	4	2	no	—
852	C₂²⋊C₄	—	4	2	no	—
853	C₂²⋊C₄	—	4	2	no	—
854	C₂²⋊C₄	—	4	2	no	—
855	C₂²⋊C₄	—	4	2	no	—
856	C₂²⋊C₄	—	4	2	no	—
857	C₂²⋊C₄	—	4	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	—	4	2	no	—
863	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	—
864	C₄²	—	2	4	no	—
865	C₄²	—	2	2	no	—
866	C₄²	—	2	2	no	—
867	C₄²	—	2	2	no	—
868	C₄²	—	4	1	no	—
869	C₄²	—	4	1	no	—
870	C₄²	—	4	1	no	—
871	C₄²	—	4	2	no	—
872	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
873	C₂³	—	2	2	no	—
874	C₂³	—	2	2	no	—
875	C₂³	—	2	2	no	—
876	C₂³	—	2	2	no	—
877	C₂³	—	2	2	no	—
878	C₂³	—	2	2	no	—
879	C₂³	—	2	2	no	—
880	C₂³	—	2	2	no	—
881	C₂³	—	2	2	no	—
882	C₂³	—	2	2	no	—
883	C₂³	—	2	2	no	—
884	C₂³	—	2	2	no	—
885	C₂³	—	2	2	no	—
886	C₂³	—	2	2	no	—
887	C₂³	—	2	2	no	—
888	C₂³	—	2	2	no	—
889	C₂³	—	2	2	no	—
890	C₂³	—	2	2	no	—
891	C₂³	—	2	2	no	—
892	C₂³	—	2	2	no	—
893	C₂³	—	2	2	no	—
894	C₂³	—	2	2	no	—
895	C₂³	—	2	2	no	—
896	C₂³	—	2	2	no	—
897	C₂³	—	2	2	no	—
898	C₂³	—	2	2	no	—
899	C₂³	—	2	2	no	—
900	C₂³	—	4	8	no	—
901	C₂³	—	8	4	no	—
902	C₂³	—	8	4	no	—
903	C₂³	—	8	4	no	—
904	C₂³	—	8	4	no	—
905	C₂³	—	8	4	no	—
906	C₂³	—	8	4	no	—
907	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
908	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
909	Q₈	—	8	4	no	—
910	D₄	—	4	4	no	—
911	D₄	—	4	8	no	—
912	D₄	—	8	4	no	—
913	D₄	—	8	2	no	—
914	D₄	—	8	2	no	—
915	D₄	—	8	2	no	—
916	D₄	—	8	4	no	—
917	D₄	—	8	4	no	—
918	D₄	—	8	4	no	—
919	D₄	—	8	4	no	—
920	D₄	—	8	4	no	—
921	D₄	—	8	4	no	—
922	D₄	—	8	4	no	—
923	C₂×C₄	—	2	1	no	—
924	C₂×C₄	—	2	1	no	—
925	C₂×C₄	—	2	1	no	—
926	C₂×C₄	—	2	1	no	—
927	C₂×C₄	—	2	2	no	—
928	C₂×C₄	—	2	1	no	—
929	C₂×C₄	—	2	1	no	—
930	C₂×C₄	—	2	1	no	—
931	C₂×C₄	—	2	1	no	—
932	C₂×C₄	—	2	1	no	—
933	C₂×C₄	—	2	1	no	—
934	C₂×C₄	—	2	1	no	—
935	C₂×C₄	—	2	1	no	—
936	C₂×C₄	—	2	2	no	—
937	C₂×C₄	—	2	2	no	—
938	C₂×C₄	—	2	2	no	—
939	C₂×C₄	—	2	2	no	—
940	C₂×C₄	—	2	2	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	1	no	—
943	C₂×C₄	—	2	1	no	—
944	C₂×C₄	—	2	2	no	—
945	C₂×C₄	—	2	2	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	2	no	—
951	C₂×C₄	—	2	2	no	—
952	C₂×C₄	—	2	2	no	—
953	C₂×C₄	—	2	2	no	—
954	C₂×C₄	—	2	2	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	2	no	—
961	C₂×C₄	—	4	8	no	—
962	C₂×C₄	—	8	4	no	—
963	C₂×C₄	—	8	4	no	—
964	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
965	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
966	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
967	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
968	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
969	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
970	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
971	C₂²	—	2	4	no	—
972	C₂²	—	2	4	no	—
973	C₂²	—	2	4	no	—
974	C₂²	—	4	2	no	—
975	C₂²	—	4	2	no	—
976	C₂²	—	4	2	no	—
977	C₂²	—	4	2	no	—
978	C₂²	—	4	2	no	—
979	C₂²	—	4	2	no	—
980	C₂²	—	4	2	no	—
981	C₂²	—	4	2	no	—
982	C₂²	—	4	2	no	—
983	C₂²	—	4	2	no	—
984	C₂²	—	4	2	no	—
985	C₂²	—	4	2	no	—
986	C₂²	—	4	2	no	—
987	C₂²	—	4	2	no	—
988	C₂²	—	4	2	no	—
989	C₂²	—	4	2	no	—
990	C₂²	—	4	2	no	—
991	C₂²	—	4	2	no	—
992	C₂²	—	4	2	no	—
993	C₂²	—	4	2	no	—
994	C₂²	—	4	2	no	—
995	C₂²	—	4	2	no	—
996	C₂²	—	4	2	no	—
997	C₂²	—	4	2	no	—
998	C₂²	—	4	2	no	—
999	C₂²	—	8	16	no	—
1000	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1001	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1002	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1003	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1004	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1005	C₂²	#585×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	4	no	—
1013	C₄	—	2	2	no	—
1014	C₄	—	4	2	no	—
1015	C₄	—	4	1	no	—
1016	C₄	—	4	2	no	—
1017	C₄	—	4	2	no	—
1018	C₄	—	4	2	no	—
1019	C₄	—	4	2	no	—
1020	C₄	—	4	2	no	—
1021	C₄	—	4	2	no	—
1022	C₂	—	4	4	no	—
1023	C₂	—	8	2	no	—
1024	C₂	—	8	2	no	—
1025	C₂	—	8	2	no	—
1026	C₂	#3449×C₁₃₉	1	1	yes	characteristic
1027	C₂	#3496×C₁₃₉	1	1	yes	characteristic
1028	C₂	#3498×C₁₃₉	1	1	yes	characteristic
1029	C₂	#3545×C₁₃₉	1	1	yes	characteristic
1030	C₂	#3546×C₁₃₉	1	1	yes	characteristic
1031	C₂	#3558×C₁₃₉	1	1	yes	characteristic
1032	C₂	#3560×C₁₃₉	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂×#538×C₁₃₉	C₂	semidirect
2. #2860×C₁₃₉	C₂	semidirect
3. #2858×C₁₃₉	C₂	semidirect
4. #2727×C₁₃₉	C₂	semidirect
5. #2705×C₁₃₉	C₂	semidirect
6. #2682×C₁₃₉	C₂	semidirect
7. #2682×C₁₃₉	C₂	semidirect
8. #2679×C₁₃₉	C₂	semidirect
9. #2678×C₁₃₉	C₂	semidirect
10. #2674×C₁₃₉	C₂	semidirect
11. #2672×C₁₃₉	C₂	semidirect
12. #2670×C₁₃₉	C₂	semidirect
13. #2669×C₁₃₉	C₂	semidirect
14. #2662×C₁₃₉	C₂	semidirect
15. #2602×C₁₃₉	C₂	semidirect
16. #2539×C₁₃₉	C₂	semidirect
17. #2414×C₁₃₉	C₂	semidirect
18. #2411×C₁₃₉	C₂	semidirect
19. #2293×C₁₃₉	C₂	semidirect
21. C₂×C₄⋊Q₈×C₁₃₉	C₂²	semidirect
23. C₂×#126×C₁₃₉	C₂²	semidirect
24. C₂×#126×C₁₃₉	C₂²	semidirect
26. C₂×#124×C₁₃₉	C₂²	semidirect
27. C₂×#124×C₁₃₉	C₂²	semidirect
30. C₂×#123×C₁₃₉	C₂²	semidirect
31. C₂×#123×C₁₃₉	C₂²	semidirect
32. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
36. C₂×#121×C₁₃₉	C₂²	semidirect
40. C₂×#120×C₁₃₉	C₂²	semidirect
41. C₂×#120×C₁₃₉	C₂²	semidirect
43. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
44. C₂×#117×C₁₃₉	C₂²	semidirect
45. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
46. #399×C₁₃₉	C₂²	semidirect
47. #399×C₁₃₉	C₂²	semidirect
48. #397×C₁₃₉	C₂²	semidirect
49. #396×C₁₃₉	C₂²	semidirect
50. #396×C₁₃₉	C₂²	semidirect
51. #396×C₁₃₉	C₂²	semidirect
52. #396×C₁₃₉	C₂²	semidirect
53. #395×C₁₃₉	C₂²	semidirect
59. #394×C₁₃₉	C₂²	semidirect
60. #394×C₁₃₉	C₂²	semidirect
61. #394×C₁₃₉	C₂²	semidirect
62. #394×C₁₃₉	C₂²	semidirect
63. #393×C₁₃₉	C₂²	semidirect
69. #392×C₁₃₉	C₂²	semidirect
78. #390×C₁₃₉	C₂²	semidirect
79. #390×C₁₃₉	C₂²	semidirect
80. #390×C₁₃₉	C₂²	semidirect
81. #390×C₁₃₉	C₂²	semidirect
82. #390×C₁₃₉	C₂²	semidirect
83. #390×C₁₃₉	C₂²	semidirect
84. #389×C₁₃₉	C₂²	semidirect
85. #389×C₁₃₉	C₂²	semidirect
86. #389×C₁₃₉	C₂²	semidirect
87. #389×C₁₃₉	C₂²	semidirect
88. #389×C₁₃₉	C₂²	semidirect
89. #389×C₁₃₉	C₂²	semidirect
90. #388×C₁₃₉	C₂²	semidirect
91. #388×C₁₃₉	C₂²	semidirect
92. #388×C₁₃₉	C₂²	semidirect
93. #388×C₁₃₉	C₂²	semidirect
94. #388×C₁₃₉	C₂²	semidirect
95. #388×C₁₃₉	C₂²	semidirect
96. #388×C₁₃₉	C₂²	semidirect
97. #388×C₁₃₉	C₂²	semidirect
98. #387×C₁₃₉	C₂²	semidirect
100. #386×C₁₃₉	C₂²	semidirect
101. #385×C₁₃₉	C₂²	semidirect
102. #385×C₁₃₉	C₂²	semidirect
103. #380×C₁₃₉	C₂²	semidirect
104. #379×C₁₃₉	C₂²	semidirect
105. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
106. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
107. C₄³×C₁₃₉	C₂²	semidirect
148. C₄×D₄×C₁₃₉	D₄	semidirect
516. #37132	C₁₃₉	direct (N × H)
517. C₁₃₉	#37132	direct (N × H)
518. C₂×#538	C₂×C₁₃₉	semidirect
519. #2860	C₂×C₁₃₉	semidirect
520. #2858	C₂×C₁₃₉	semidirect
521. #2727	C₂×C₁₃₉	semidirect
522. #2705	C₂×C₁₃₉	semidirect
523. #2682	C₂×C₁₃₉	semidirect
524. #2682	C₂×C₁₃₉	semidirect
525. #2679	C₂×C₁₃₉	semidirect
526. #2678	C₂×C₁₃₉	semidirect
527. #2674	C₂×C₁₃₉	semidirect
528. #2672	C₂×C₁₃₉	semidirect
529. #2670	C₂×C₁₃₉	semidirect
530. #2669	C₂×C₁₃₉	semidirect
531. #2662	C₂×C₁₃₉	semidirect
532. #2602	C₂×C₁₃₉	semidirect
533. #2539	C₂×C₁₃₉	semidirect
534. #2414	C₂×C₁₃₉	semidirect
535. #2411	C₂×C₁₃₉	semidirect
536. #2293	C₂×C₁₃₉	semidirect
538. C₂×C₄⋊Q₈	C₂²×C₁₃₉	semidirect
540. C₂×#126	C₂²×C₁₃₉	semidirect
541. C₂×#126	C₂²×C₁₃₉	semidirect
543. C₂×#124	C₂²×C₁₃₉	semidirect
544. C₂×#124	C₂²×C₁₃₉	semidirect
547. C₂×#123	C₂²×C₁₃₉	semidirect
548. C₂×#123	C₂²×C₁₃₉	semidirect
549. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
553. C₂×#121	C₂²×C₁₃₉	semidirect
557. C₂×#120	C₂²×C₁₃₉	semidirect
558. C₂×#120	C₂²×C₁₃₉	semidirect
560. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
561. C₂×#117	C₂²×C₁₃₉	semidirect
562. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
563. #399	C₂²×C₁₃₉	semidirect
564. #399	C₂²×C₁₃₉	semidirect
565. #397	C₂²×C₁₃₉	semidirect
566. #396	C₂²×C₁₃₉	semidirect
567. #396	C₂²×C₁₃₉	semidirect
568. #396	C₂²×C₁₃₉	semidirect
569. #396	C₂²×C₁₃₉	semidirect
570. #395	C₂²×C₁₃₉	semidirect
576. #394	C₂²×C₁₃₉	semidirect
577. #394	C₂²×C₁₃₉	semidirect
578. #394	C₂²×C₁₃₉	semidirect
579. #394	C₂²×C₁₃₉	semidirect
580. #393	C₂²×C₁₃₉	semidirect
586. #392	C₂²×C₁₃₉	semidirect
595. #390	C₂²×C₁₃₉	semidirect
596. #390	C₂²×C₁₃₉	semidirect
597. #390	C₂²×C₁₃₉	semidirect
598. #390	C₂²×C₁₃₉	semidirect
599. #390	C₂²×C₁₃₉	semidirect
600. #390	C₂²×C₁₃₉	semidirect
601. #389	C₂²×C₁₃₉	semidirect
602. #389	C₂²×C₁₃₉	semidirect
603. #389	C₂²×C₁₃₉	semidirect
604. #389	C₂²×C₁₃₉	semidirect
605. #389	C₂²×C₁₃₉	semidirect
606. #389	C₂²×C₁₃₉	semidirect
607. #388	C₂²×C₁₃₉	semidirect
608. #388	C₂²×C₁₃₉	semidirect
609. #388	C₂²×C₁₃₉	semidirect
610. #388	C₂²×C₁₃₉	semidirect
611. #388	C₂²×C₁₃₉	semidirect
612. #388	C₂²×C₁₃₉	semidirect
613. #388	C₂²×C₁₃₉	semidirect
614. #388	C₂²×C₁₃₉	semidirect
615. #387	C₂²×C₁₃₉	semidirect
617. #386	C₂²×C₁₃₉	semidirect
618. #385	C₂²×C₁₃₉	semidirect
619. #385	C₂²×C₁₃₉	semidirect
620. #380	C₂²×C₁₃₉	semidirect
621. #379	C₂²×C₁₃₉	semidirect
622. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
623. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
624. C₄³	C₂²×C₁₃₉	semidirect
665. C₄×D₄	D₄×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#538×C₁₃₉	2
#2860×C₁₃₉	2
#2858×C₁₃₉	2
#2727×C₁₃₉	2
#2705×C₁₃₉	2
#2682×C₁₃₉	2
#2679×C₁₃₉	2
#2678×C₁₃₉	2
#2674×C₁₃₉	2
#2672×C₁₃₉	2
#2670×C₁₃₉	2
#2669×C₁₃₉	2
#2662×C₁₃₉	2
#2602×C₁₃₉	2
#2539×C₁₃₉	2
#2414×C₁₃₉	2
#2411×C₁₃₉	2
#2293×C₁₃₉	2
#37132	139

Subgroups — C139×#37132 #48031728

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#37132 #48031728