Subgroups — C₁₃₉×#35990 #48030586

Order 35584.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1118 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#551×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#520×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2636×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2632×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2623×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2604×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2598×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2580×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2540×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2479×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2471×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2449×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2449×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2443×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2430×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2424×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2404×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2397×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2396×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#399×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2361×C₁₃₉	C₂	1	2	yes	maximal, complemented
22	#2358×C₁₃₉	C₂	1	2	yes	maximal, complemented
23	#2343×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic
25	#551×C₁₃₉	—	2	8	no	—
26	C₂×#126×C₁₃₉	C₂²	1	1	yes	characteristic
27	C₂×#126×C₁₃₉	C₂²	1	1	yes	characteristic
28	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
29	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
30	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
31	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	complemented
35	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
36	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
37	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
38	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
39	#520×C₁₃₉	—	2	8	no	—
40	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
44	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
46	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
47	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
50	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
51	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
52	C₂×#117×C₁₃₉	C₂²	1	2	yes	complemented
53	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
54	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
55	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
56	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
57	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
58	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
59	#400×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
60	#400×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
61	#399×C₁₃₉	C₂²	1	1	yes	characteristic
62	#399×C₁₃₉	C₂²	1	1	yes	characteristic
63	#399×C₁₃₉	C₂²	1	1	yes	characteristic
64	#399×C₁₃₉	C₂²	1	1	yes	characteristic
65	#399×C₁₃₉	C₂²	1	2	yes	—
66	#399×C₁₃₉	C₂²	1	2	yes	—
67	#399×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
68	#399×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
69	#399×C₁₃₉	C₂²	1	2	yes	complemented
70	#398×C₁₃₉	C₂²	1	2	yes	complemented
71	#398×C₁₃₉	C₂²	1	2	yes	complemented
72	#397×C₁₃₉	C₂²	1	2	yes	complemented
73	#396×C₁₃₉	C₂²	1	2	yes	—
74	#396×C₁₃₉	C₂²	1	2	yes	complemented
75	#395×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
76	#395×C₁₃₉	C₂²	1	2	yes	complemented
77	#394×C₁₃₉	C₂²	1	2	yes	—
78	#394×C₁₃₉	C₂²	1	2	yes	—
79	#394×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
80	#393×C₁₃₉	C₂²	1	1	yes	characteristic
81	#393×C₁₃₉	C₂²	1	1	yes	characteristic
82	#393×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
83	#392×C₁₃₉	C₂²	1	1	yes	characteristic
84	#392×C₁₃₉	C₂²	1	1	yes	characteristic
85	#392×C₁₃₉	C₂²	1	2	yes	—
86	#392×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
87	#390×C₁₃₉	C₂²	1	2	yes	—
88	#390×C₁₃₉	C₂²	1	2	yes	—
89	#390×C₁₃₉	C₂²	1	2	yes	complemented
90	#389×C₁₃₉	C₂²	1	2	yes	complemented
91	#389×C₁₃₉	C₂²	1	2	yes	complemented
92	#388×C₁₃₉	C₂²	1	2	yes	—
93	#388×C₁₃₉	C₂²	1	2	yes	—
94	#388×C₁₃₉	C₂²	1	2	yes	—
95	#388×C₁₃₉	C₂²	1	2	yes	complemented
96	#388×C₁₃₉	C₂²	1	2	yes	complemented
97	#387×C₁₃₉	C₂²	1	2	yes	complemented
98	#387×C₁₃₉	C₂²	1	2	yes	complemented
99	#387×C₁₃₉	C₂²	1	2	yes	complemented
100	#386×C₁₃₉	C₂²	1	2	yes	—
101	#386×C₁₃₉	C₂²	1	2	yes	—
102	#386×C₁₃₉	C₂²	1	2	yes	—
103	#386×C₁₃₉	C₂²	1	2	yes	—
104	#386×C₁₃₉	C₂²	1	2	yes	—
105	#386×C₁₃₉	C₂²	1	2	yes	—
106	#386×C₁₃₉	C₂²	1	2	yes	—
107	#386×C₁₃₉	C₂²	1	2	yes	—
108	#386×C₁₃₉	C₂²	1	2	yes	complemented
109	#385×C₁₃₉	C₂²	1	2	yes	—
110	#385×C₁₃₉	C₂²	1	2	yes	—
111	#385×C₁₃₉	C₂²	1	2	yes	—
112	#385×C₁₃₉	C₂²	1	2	yes	complemented
113	#385×C₁₃₉	C₂²	1	2	yes	complemented
114	#385×C₁₃₉	C₂²	1	2	yes	complemented
115	#385×C₁₃₉	C₂²	1	2	yes	complemented
116	#383×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
117	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
118	#381×C₁₃₉	C₂²	1	1	yes	characteristic
119	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
121	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
122	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
123	#376×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
124	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
125	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
126	C₂×#41×C₁₃₉	—	2	8	no	—
127	C₂×#41×C₁₃₉	—	2	4	no	—
128	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
129	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
130	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
132	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
133	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
134	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
135	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
136	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
137	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
138	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
139	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
140	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
143	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
144	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
145	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
146	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
147	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
148	#126×C₁₃₉	—	2	4	no	—
149	#126×C₁₃₉	—	2	4	no	—
150	#124×C₁₃₉	—	2	4	no	—
151	#123×C₁₃₉	—	2	4	no	—
152	#123×C₁₃₉	—	2	4	no	—
153	#123×C₁₃₉	—	2	4	no	—
154	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
155	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
156	C₂²⋊Q₈×C₁₃₉	—	4	4	no	—
157	#121×C₁₃₉	—	2	8	no	—
158	#121×C₁₃₉	—	4	4	no	—
159	#120×C₁₃₉	—	2	8	no	—
160	#120×C₁₃₉	—	2	4	no	—
161	C₄×Q₈×C₁₃₉	—	2	4	no	—
162	C₄×Q₈×C₁₃₉	—	2	4	no	—
163	C₄×D₄×C₁₃₉	—	2	8	no	—
164	C₄×D₄×C₁₃₉	—	2	8	no	—
165	C₄×D₄×C₁₃₉	—	2	4	no	—
166	C₄×D₄×C₁₃₉	—	2	4	no	—
167	C₄×D₄×C₁₃₉	—	2	4	no	—
168	C₄×D₄×C₁₃₉	—	2	4	no	—
169	C₄×D₄×C₁₃₉	—	4	4	no	—
170	C₄×D₄×C₁₃₉	—	4	4	no	—
171	#117×C₁₃₉	—	2	8	no	—
172	#117×C₁₃₉	—	2	4	no	—
173	#117×C₁₃₉	D₄	1	8	yes	complemented
174	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
175	C₂×C₄⋊C₄×C₁₃₉	—	2	8	no	—
176	C₂×C₄⋊C₄×C₁₃₉	—	4	4	no	—
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×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
182	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
183	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
184	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
185	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
186	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
187	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
188	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
189	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
190	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
191	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
192	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
193	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
196	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
197	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
198	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
199	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
200	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
201	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
202	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
204	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
205	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
206	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
207	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
209	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
214	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
218	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
221	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
222	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
223	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
224	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
225	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
226	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
227	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
228	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
229	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
230	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
231	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
235	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
236	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
237	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
238	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
239	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
240	#95×C₁₃₉	C₂³	1	2	yes	—
241	#95×C₁₃₉	C₂³	1	1	yes	characteristic
242	#95×C₁₃₉	C₂³	1	2	yes	—
243	#95×C₁₃₉	C₂³	1	2	yes	—
244	#95×C₁₃₉	C₂³	1	2	yes	—
245	#95×C₁₃₉	C₂³	1	2	yes	—
246	#95×C₁₃₉	C₂³	1	2	yes	—
247	#95×C₁₃₉	C₂³	1	2	yes	—
248	#95×C₁₃₉	C₂³	1	2	yes	—
249	#95×C₁₃₉	C₂³	1	2	yes	—
250	#95×C₁₃₉	C₂³	1	2	yes	—
251	#95×C₁₃₉	C₂³	1	1	yes	characteristic
252	#95×C₁₃₉	C₂³	1	2	yes	—
253	#95×C₁₃₉	C₂³	1	1	yes	characteristic
254	#95×C₁₃₉	C₂³	1	1	yes	characteristic
255	#95×C₁₃₉	C₂³	1	2	yes	—
256	#95×C₁₃₉	C₂³	1	2	yes	—
257	#95×C₁₃₉	C₂³	1	2	yes	—
258	C₂⁴×C₁₃₉	—	2	2	no	—
259	C₂⁴×C₁₃₉	—	2	2	no	—
260	C₂⁴×C₁₃₉	—	2	4	no	—
261	C₂⁴×C₁₃₉	—	4	2	no	—
262	C₂⁴×C₁₃₉	—	4	1	no	—
263	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
264	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
265	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
266	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
267	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
268	#41×C₁₃₉	—	2	32	no	—
269	C₂×Q₈×C₁₃₉	—	2	2	no	—
270	C₂×Q₈×C₁₃₉	—	2	2	no	—
271	C₂×Q₈×C₁₃₉	—	2	4	no	—
272	C₂×Q₈×C₁₃₉	—	4	2	no	—
273	C₂×D₄×C₁₃₉	—	2	4	no	—
274	C₂×D₄×C₁₃₉	—	2	4	no	—
275	C₂×D₄×C₁₃₉	—	2	4	no	—
276	C₂×D₄×C₁₃₉	—	2	2	no	—
277	C₂×D₄×C₁₃₉	—	2	4	no	—
278	C₂×D₄×C₁₃₉	—	2	4	no	—
279	C₂×D₄×C₁₃₉	—	2	4	no	—
280	C₂×D₄×C₁₃₉	—	2	2	no	—
281	C₂×D₄×C₁₃₉	—	2	4	no	—
282	C₂×D₄×C₁₃₉	—	2	4	no	—
283	C₂×D₄×C₁₃₉	—	2	2	no	—
284	C₂×D₄×C₁₃₉	—	2	2	no	—
285	C₂×D₄×C₁₃₉	—	2	2	no	—
286	C₂×D₄×C₁₃₉	—	2	4	no	—
287	C₂×D₄×C₁₃₉	—	4	2	no	—
288	C₂×D₄×C₁₃₉	—	4	2	no	—
289	C₂×D₄×C₁₃₉	—	4	1	no	—
290	C₂×D₄×C₁₃₉	—	4	2	no	—
291	C₂×D₄×C₁₃₉	—	4	2	no	—
292	C₂×D₄×C₁₃₉	—	4	2	no	—
293	C₂×D₄×C₁₃₉	#41	1	8	yes	—
294	C₂²×C₄×C₁₃₉	—	2	4	no	—
295	C₂²×C₄×C₁₃₉	—	2	4	no	—
296	C₂²×C₄×C₁₃₉	—	2	4	no	—
297	C₂²×C₄×C₁₃₉	—	2	4	no	—
298	C₂²×C₄×C₁₃₉	—	2	4	no	—
299	C₂²×C₄×C₁₃₉	—	2	2	no	—
300	C₂²×C₄×C₁₃₉	—	2	2	no	—
301	C₂²×C₄×C₁₃₉	—	2	4	no	—
302	C₂²×C₄×C₁₃₉	—	2	2	no	—
303	C₂²×C₄×C₁₃₉	—	2	4	no	—
304	C₂²×C₄×C₁₃₉	—	2	2	no	—
305	C₂²×C₄×C₁₃₉	—	2	4	no	—
306	C₂²×C₄×C₁₃₉	—	2	4	no	—
307	C₂²×C₄×C₁₃₉	—	2	2	no	—
308	C₂²×C₄×C₁₃₉	—	4	1	no	—
309	C₂²×C₄×C₁₃₉	—	4	2	no	—
310	C₂²×C₄×C₁₃₉	—	4	2	no	—
311	C₂²×C₄×C₁₃₉	—	4	2	no	—
312	C₂²×C₄×C₁₃₉	—	4	2	no	—
313	C₂²×C₄×C₁₃₉	—	4	2	no	—
314	C₂²×C₄×C₁₃₉	—	4	2	no	—
315	C₂²×C₄×C₁₃₉	—	4	2	no	—
316	C₂²×C₄×C₁₃₉	—	4	2	no	—
317	C₂²×C₄×C₁₃₉	—	4	2	no	—
318	C₂²×C₄×C₁₃₉	—	4	2	no	—
319	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
320	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
321	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
322	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
323	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
324	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
325	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
326	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
327	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
328	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
330	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
332	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
336	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
337	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
338	C₄⋊C₄×C₁₃₉	—	2	4	no	—
339	C₄⋊C₄×C₁₃₉	—	2	4	no	—
340	C₄⋊C₄×C₁₃₉	—	2	4	no	—
341	C₄⋊C₄×C₁₃₉	—	2	2	no	—
342	C₄⋊C₄×C₁₃₉	—	2	2	no	—
343	C₄⋊C₄×C₁₃₉	—	2	2	no	—
344	C₄⋊C₄×C₁₃₉	—	2	2	no	—
345	C₄⋊C₄×C₁₃₉	—	2	2	no	—
346	C₄⋊C₄×C₁₃₉	—	2	2	no	—
347	C₄⋊C₄×C₁₃₉	—	2	2	no	—
348	C₄⋊C₄×C₁₃₉	—	2	2	no	—
349	C₄⋊C₄×C₁₃₉	—	2	4	no	—
350	C₄⋊C₄×C₁₃₉	—	2	4	no	—
351	C₄⋊C₄×C₁₃₉	—	2	4	no	—
352	C₄⋊C₄×C₁₃₉	—	2	4	no	—
353	C₄⋊C₄×C₁₃₉	—	4	2	no	—
354	C₄⋊C₄×C₁₃₉	—	4	2	no	—
355	C₄⋊C₄×C₁₃₉	—	4	2	no	—
356	C₄⋊C₄×C₁₃₉	—	4	2	no	—
357	C₄⋊C₄×C₁₃₉	—	4	2	no	—
358	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
359	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
360	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
361	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
362	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
363	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
364	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
365	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
366	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
367	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
368	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
369	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
370	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
371	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
372	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
373	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
374	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
375	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
376	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
377	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
378	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
379	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
380	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
381	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
382	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
383	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
384	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
385	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
386	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
387	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
388	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
389	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
390	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
391	C₄²×C₁₃₉	—	2	4	no	—
392	C₄²×C₁₃₉	—	2	4	no	—
393	C₄²×C₁₃₉	—	2	2	no	—
394	C₄²×C₁₃₉	—	2	4	no	—
395	C₄²×C₁₃₉	—	4	2	no	—
396	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
397	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
398	C₂³×C₁₃₉	—	2	2	no	—
399	C₂³×C₁₃₉	—	2	1	no	—
400	C₂³×C₁₃₉	—	2	1	no	—
401	C₂³×C₁₃₉	—	2	1	no	—
402	C₂³×C₁₃₉	—	2	2	no	—
403	C₂³×C₁₃₉	—	2	2	no	—
404	C₂³×C₁₃₉	—	2	2	no	—
405	C₂³×C₁₃₉	—	2	2	no	—
406	C₂³×C₁₃₉	—	2	2	no	—
407	C₂³×C₁₃₉	—	2	2	no	—
408	C₂³×C₁₃₉	—	2	2	no	—
409	C₂³×C₁₃₉	—	2	2	no	—
410	C₂³×C₁₃₉	—	2	1	no	—
411	C₂³×C₁₃₉	—	2	1	no	—
412	C₂³×C₁₃₉	—	2	1	no	—
413	C₂³×C₁₃₉	—	2	2	no	—
414	C₂³×C₁₃₉	—	2	2	no	—
415	C₂³×C₁₃₉	—	2	2	no	—
416	C₂³×C₁₃₉	—	2	2	no	—
417	C₂³×C₁₃₉	—	2	1	no	—
418	C₂³×C₁₃₉	—	2	1	no	—
419	C₂³×C₁₃₉	—	2	1	no	—
420	C₂³×C₁₃₉	—	2	1	no	—
421	C₂³×C₁₃₉	—	4	4	no	—
422	C₂³×C₁₃₉	—	4	8	no	—
423	C₂³×C₁₃₉	—	4	4	no	—
424	C₂³×C₁₃₉	—	8	2	no	—
425	C₂³×C₁₃₉	—	8	4	no	—
426	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
427	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
428	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
429	C₂³×C₁₃₉	2₋¹⁺⁴	1	2	yes	—
430	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
431	Q₈×C₁₃₉	—	2	8	no	—
432	Q₈×C₁₃₉	—	8	2	no	—
433	D₄×C₁₃₉	—	2	8	no	—
434	D₄×C₁₃₉	—	2	16	no	—
435	D₄×C₁₃₉	—	4	4	no	—
436	D₄×C₁₃₉	—	4	8	no	—
437	D₄×C₁₃₉	—	4	8	no	—
438	D₄×C₁₃₉	—	4	4	no	—
439	D₄×C₁₃₉	—	8	2	no	—
440	D₄×C₁₃₉	—	8	4	no	—
441	C₂×C₄×C₁₃₉	—	2	16	no	—
442	C₂×C₄×C₁₃₉	—	2	8	no	—
443	C₂×C₄×C₁₃₉	—	2	2	no	—
444	C₂×C₄×C₁₃₉	—	2	2	no	—
445	C₂×C₄×C₁₃₉	—	2	2	no	—
446	C₂×C₄×C₁₃₉	—	2	2	no	—
447	C₂×C₄×C₁₃₉	—	2	2	no	—
448	C₂×C₄×C₁₃₉	—	2	2	no	—
449	C₂×C₄×C₁₃₉	—	2	2	no	—
450	C₂×C₄×C₁₃₉	—	2	1	no	—
451	C₂×C₄×C₁₃₉	—	2	1	no	—
452	C₂×C₄×C₁₃₉	—	2	1	no	—
453	C₂×C₄×C₁₃₉	—	2	2	no	—
454	C₂×C₄×C₁₃₉	—	2	1	no	—
455	C₂×C₄×C₁₃₉	—	2	1	no	—
456	C₂×C₄×C₁₃₉	—	2	1	no	—
457	C₂×C₄×C₁₃₉	—	2	2	no	—
458	C₂×C₄×C₁₃₉	—	2	2	no	—
459	C₂×C₄×C₁₃₉	—	2	1	no	—
460	C₂×C₄×C₁₃₉	—	2	1	no	—
461	C₂×C₄×C₁₃₉	—	2	1	no	—
462	C₂×C₄×C₁₃₉	—	2	2	no	—
463	C₂×C₄×C₁₃₉	—	2	2	no	—
464	C₂×C₄×C₁₃₉	—	2	2	no	—
465	C₂×C₄×C₁₃₉	—	2	2	no	—
466	C₂×C₄×C₁₃₉	—	2	2	no	—
467	C₂×C₄×C₁₃₉	—	2	2	no	—
468	C₂×C₄×C₁₃₉	—	2	2	no	—
469	C₂×C₄×C₁₃₉	—	2	2	no	—
470	C₂×C₄×C₁₃₉	—	2	2	no	—
471	C₂×C₄×C₁₃₉	—	2	2	no	—
472	C₂×C₄×C₁₃₉	—	2	2	no	—
473	C₂×C₄×C₁₃₉	—	2	2	no	—
474	C₂×C₄×C₁₃₉	—	2	2	no	—
475	C₂×C₄×C₁₃₉	—	2	2	no	—
476	C₂×C₄×C₁₃₉	—	2	1	no	—
477	C₂×C₄×C₁₃₉	—	2	2	no	—
478	C₂×C₄×C₁₃₉	—	2	2	no	—
479	C₂×C₄×C₁₃₉	—	2	1	no	—
480	C₂×C₄×C₁₃₉	—	2	2	no	—
481	C₂×C₄×C₁₃₉	—	4	4	no	—
482	C₂×C₄×C₁₃₉	—	4	8	no	—
483	C₂×C₄×C₁₃₉	—	8	4	no	—
484	C₂×C₄×C₁₃₉	—	8	2	no	—
485	C₂×C₄×C₁₃₉	—	8	2	no	—
486	C₂×C₄×C₁₃₉	—	8	4	no	—
487	C₂×C₄×C₁₃₉	—	8	4	no	—
488	C₂×C₄×C₁₃₉	—	8	2	no	—
489	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
490	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
491	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
492	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
493	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
494	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
495	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
496	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	4	yes	—
497	C₂²×C₁₃₉	—	2	2	no	—
498	C₂²×C₁₃₉	—	2	2	no	—
499	C₂²×C₁₃₉	—	2	4	no	—
500	C₂²×C₁₃₉	—	2	4	no	—
501	C₂²×C₁₃₉	—	2	4	no	—
502	C₂²×C₁₃₉	—	2	2	no	—
503	C₂²×C₁₃₉	—	2	4	no	—
504	C₂²×C₁₃₉	—	2	4	no	—
505	C₂²×C₁₃₉	—	2	4	no	—
506	C₂²×C₁₃₉	—	4	1	no	—
507	C₂²×C₁₃₉	—	4	2	no	—
508	C₂²×C₁₃₉	—	4	2	no	—
509	C₂²×C₁₃₉	—	4	1	no	—
510	C₂²×C₁₃₉	—	4	2	no	—
511	C₂²×C₁₃₉	—	4	2	no	—
512	C₂²×C₁₃₉	—	4	2	no	—
513	C₂²×C₁₃₉	—	4	1	no	—
514	C₂²×C₁₃₉	—	4	1	no	—
515	C₂²×C₁₃₉	—	4	1	no	—
516	C₂²×C₁₃₉	—	4	1	no	—
517	C₂²×C₁₃₉	—	4	1	no	—
518	C₂²×C₁₃₉	—	4	1	no	—
519	C₂²×C₁₃₉	—	4	2	no	—
520	C₂²×C₁₃₉	—	4	2	no	—
521	C₂²×C₁₃₉	—	4	2	no	—
522	C₂²×C₁₃₉	—	4	2	no	—
523	C₂²×C₁₃₉	—	8	8	no	—
524	C₂²×C₁₃₉	#525	1	4	yes	—
525	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
526	C₂²×C₁₃₉	C₂²×#41	1	2	yes	—
527	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	2	yes	—
528	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
529	C₂²×C₁₃₉	#585	1	1	yes	characteristic
530	C₄×C₁₃₉	—	2	2	no	—
531	C₄×C₁₃₉	—	2	2	no	—
532	C₄×C₁₃₉	—	2	4	no	—
533	C₄×C₁₃₉	—	2	2	no	—
534	C₄×C₁₃₉	—	2	2	no	—
535	C₄×C₁₃₉	—	2	2	no	—
536	C₄×C₁₃₉	—	2	2	no	—
537	C₄×C₁₃₉	—	2	4	no	—
538	C₄×C₁₃₉	—	4	1	no	—
539	C₄×C₁₃₉	—	4	1	no	—
540	C₄×C₁₃₉	—	4	1	no	—
541	C₄×C₁₃₉	—	4	2	no	—
542	C₄×C₁₃₉	—	4	2	no	—
543	C₄×C₁₃₉	—	4	1	no	—
544	C₄×C₁₃₉	—	4	1	no	—
545	C₄×C₁₃₉	—	4	2	no	—
546	C₄×C₁₃₉	—	4	2	no	—
547	C₄×C₁₃₉	—	4	2	no	—
548	C₂×C₁₃₉	—	2	4	no	—
549	C₂×C₁₃₉	—	4	4	no	—
550	C₂×C₁₃₉	—	4	2	no	—
551	C₂×C₁₃₉	—	8	1	no	—
552	C₂×C₁₃₉	—	8	1	no	—
553	C₂×C₁₃₉	C₂×#525	1	1	yes	characteristic
554	C₂×C₁₃₉	#3489	1	1	yes	characteristic
555	C₂×C₁₃₉	#3498	1	1	yes	characteristic
556	C₂×C₁₃₉	#3513	1	2	yes	—
557	C₂×C₁₃₉	#3520	1	2	yes	—
558	#35990	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
559	C₁₃₉	#35990	1	1	yes	characteristic, direct product factor, Sylow
560	C₂×#551	C₂×C₁₃₉	1	1	yes	characteristic, complemented
561	C₂×#520	C₂×C₁₃₉	1	1	yes	characteristic, complemented
562	#2636	C₂×C₁₃₉	1	1	yes	characteristic, complemented
563	#2632	C₂×C₁₃₉	1	1	yes	characteristic, complemented
564	#2623	C₂×C₁₃₉	1	1	yes	characteristic, complemented
565	#2604	C₂×C₁₃₉	1	1	yes	characteristic, complemented
566	#2598	C₂×C₁₃₉	1	1	yes	characteristic, complemented
567	#2580	C₂×C₁₃₉	1	1	yes	characteristic, complemented
568	#2540	C₂×C₁₃₉	1	1	yes	characteristic, complemented
569	#2479	C₂×C₁₃₉	1	2	yes	complemented
570	#2471	C₂×C₁₃₉	1	2	yes	complemented
571	#2449	C₂×C₁₃₉	1	2	yes	complemented
572	#2449	C₂×C₁₃₉	1	2	yes	complemented
573	#2443	C₂×C₁₃₉	1	2	yes	complemented
574	#2430	C₂×C₁₃₉	1	1	yes	characteristic, complemented
575	#2424	C₂×C₁₃₉	1	2	yes	complemented
576	#2404	C₂×C₁₃₉	1	1	yes	characteristic, complemented
577	#2397	C₂×C₁₃₉	1	1	yes	characteristic, complemented
578	#2396	C₂×C₁₃₉	1	1	yes	characteristic, complemented
579	C₂×#399	C₂×C₁₃₉	1	1	yes	characteristic, complemented
580	#2361	C₂×C₁₃₉	1	2	yes	complemented
581	#2358	C₂×C₁₃₉	1	2	yes	complemented
582	#2343	C₂×C₁₃₉	1	1	yes	characteristic, complemented
583	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic
584	#551	—	2	8	no	—
585	C₂×#126	C₂²×C₁₃₉	1	1	yes	characteristic
586	C₂×#126	C₂²×C₁₃₉	1	1	yes	characteristic
587	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
588	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
589	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
590	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
591	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
592	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
593	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	complemented
594	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
595	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
596	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
597	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
598	#520	—	2	8	no	—
599	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
600	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
601	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
602	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
603	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
604	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
605	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
606	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
607	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
608	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
609	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
610	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
611	C₂×#117	C₂²×C₁₃₉	1	2	yes	complemented
612	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
613	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
614	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
615	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
616	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
617	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
618	#400	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
619	#400	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
620	#399	C₂²×C₁₃₉	1	1	yes	characteristic
621	#399	C₂²×C₁₃₉	1	1	yes	characteristic
622	#399	C₂²×C₁₃₉	1	1	yes	characteristic
623	#399	C₂²×C₁₃₉	1	1	yes	characteristic
624	#399	C₂²×C₁₃₉	1	2	yes	—
625	#399	C₂²×C₁₃₉	1	2	yes	—
626	#399	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
627	#399	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
628	#399	C₂²×C₁₃₉	1	2	yes	complemented
629	#398	C₂²×C₁₃₉	1	2	yes	complemented
630	#398	C₂²×C₁₃₉	1	2	yes	complemented
631	#397	C₂²×C₁₃₉	1	2	yes	complemented
632	#396	C₂²×C₁₃₉	1	2	yes	—
633	#396	C₂²×C₁₃₉	1	2	yes	complemented
634	#395	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
635	#395	C₂²×C₁₃₉	1	2	yes	complemented
636	#394	C₂²×C₁₃₉	1	2	yes	—
637	#394	C₂²×C₁₃₉	1	2	yes	—
638	#394	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
639	#393	C₂²×C₁₃₉	1	1	yes	characteristic
640	#393	C₂²×C₁₃₉	1	1	yes	characteristic
641	#393	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
642	#392	C₂²×C₁₃₉	1	1	yes	characteristic
643	#392	C₂²×C₁₃₉	1	1	yes	characteristic
644	#392	C₂²×C₁₃₉	1	2	yes	—
645	#392	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
646	#390	C₂²×C₁₃₉	1	2	yes	—
647	#390	C₂²×C₁₃₉	1	2	yes	—
648	#390	C₂²×C₁₃₉	1	2	yes	complemented
649	#389	C₂²×C₁₃₉	1	2	yes	complemented
650	#389	C₂²×C₁₃₉	1	2	yes	complemented
651	#388	C₂²×C₁₃₉	1	2	yes	—
652	#388	C₂²×C₁₃₉	1	2	yes	—
653	#388	C₂²×C₁₃₉	1	2	yes	—
654	#388	C₂²×C₁₃₉	1	2	yes	complemented
655	#388	C₂²×C₁₃₉	1	2	yes	complemented
656	#387	C₂²×C₁₃₉	1	2	yes	complemented
657	#387	C₂²×C₁₃₉	1	2	yes	complemented
658	#387	C₂²×C₁₃₉	1	2	yes	complemented
659	#386	C₂²×C₁₃₉	1	2	yes	—
660	#386	C₂²×C₁₃₉	1	2	yes	—
661	#386	C₂²×C₁₃₉	1	2	yes	—
662	#386	C₂²×C₁₃₉	1	2	yes	—
663	#386	C₂²×C₁₃₉	1	2	yes	—
664	#386	C₂²×C₁₃₉	1	2	yes	—
665	#386	C₂²×C₁₃₉	1	2	yes	—
666	#386	C₂²×C₁₃₉	1	2	yes	—
667	#386	C₂²×C₁₃₉	1	2	yes	complemented
668	#385	C₂²×C₁₃₉	1	2	yes	—
669	#385	C₂²×C₁₃₉	1	2	yes	—
670	#385	C₂²×C₁₃₉	1	2	yes	—
671	#385	C₂²×C₁₃₉	1	2	yes	complemented
672	#385	C₂²×C₁₃₉	1	2	yes	complemented
673	#385	C₂²×C₁₃₉	1	2	yes	complemented
674	#385	C₂²×C₁₃₉	1	2	yes	complemented
675	#383	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
676	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
677	#381	C₂²×C₁₃₉	1	1	yes	characteristic
678	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
679	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
680	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
681	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
682	#376	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
683	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
684	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
685	C₂×#41	—	2	8	no	—
686	C₂×#41	—	2	4	no	—
687	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
688	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
689	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
690	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
691	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
692	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
693	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
694	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
695	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
696	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
697	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
698	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
699	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
700	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
701	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
702	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
703	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
704	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
705	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
706	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
707	#126	—	2	4	no	—
708	#126	—	2	4	no	—
709	#124	—	2	4	no	—
710	#123	—	2	4	no	—
711	#123	—	2	4	no	—
712	#123	—	2	4	no	—
713	C₂²⋊Q₈	—	2	4	no	—
714	C₂²⋊Q₈	—	2	4	no	—
715	C₂²⋊Q₈	—	4	4	no	—
716	#121	—	2	8	no	—
717	#121	—	4	4	no	—
718	#120	—	2	8	no	—
719	#120	—	2	4	no	—
720	C₄×Q₈	—	2	4	no	—
721	C₄×Q₈	—	2	4	no	—
722	C₄×D₄	—	2	8	no	—
723	C₄×D₄	—	2	8	no	—
724	C₄×D₄	—	2	4	no	—
725	C₄×D₄	—	2	4	no	—
726	C₄×D₄	—	2	4	no	—
727	C₄×D₄	—	2	4	no	—
728	C₄×D₄	—	4	4	no	—
729	C₄×D₄	—	4	4	no	—
730	#117	—	2	8	no	—
731	#117	—	2	4	no	—
732	#117	D₄×C₁₃₉	1	8	yes	complemented
733	C₂×C₄⋊C₄	—	2	4	no	—
734	C₂×C₄⋊C₄	—	2	8	no	—
735	C₂×C₄⋊C₄	—	4	4	no	—
736	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
737	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
738	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
739	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
740	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
741	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
742	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
743	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
744	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
745	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
746	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
747	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
748	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
749	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
750	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
751	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
752	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
753	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
754	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
755	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
756	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
757	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
758	C₂×C₂²⋊C₄	—	2	4	no	—
759	C₂×C₂²⋊C₄	—	2	4	no	—
760	C₂×C₂²⋊C₄	—	4	4	no	—
761	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
762	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
763	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
764	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
765	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
766	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
767	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
768	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
769	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
770	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
771	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
772	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
773	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
774	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
775	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
776	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
777	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
778	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
779	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
780	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
781	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
782	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
783	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
784	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
785	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
786	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
787	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
788	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
789	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
790	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
791	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
792	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
793	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
794	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
795	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
796	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
797	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
798	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
799	#95	C₂³×C₁₃₉	1	1	yes	characteristic
800	#95	C₂³×C₁₃₉	1	1	yes	characteristic
801	#95	C₂³×C₁₃₉	1	2	yes	—
802	#95	C₂³×C₁₃₉	1	1	yes	characteristic
803	#95	C₂³×C₁₃₉	1	2	yes	—
804	#95	C₂³×C₁₃₉	1	2	yes	—
805	#95	C₂³×C₁₃₉	1	2	yes	—
806	#95	C₂³×C₁₃₉	1	2	yes	—
807	#95	C₂³×C₁₃₉	1	2	yes	—
808	#95	C₂³×C₁₃₉	1	1	yes	characteristic
809	#95	C₂³×C₁₃₉	1	2	yes	—
810	#95	C₂³×C₁₃₉	1	2	yes	—
811	#95	C₂³×C₁₃₉	1	2	yes	—
812	#95	C₂³×C₁₃₉	1	2	yes	—
813	#95	C₂³×C₁₃₉	1	2	yes	—
814	#95	C₂³×C₁₃₉	1	2	yes	—
815	#95	C₂³×C₁₃₉	1	2	yes	—
816	#95	C₂³×C₁₃₉	1	2	yes	—
817	C₂⁴	—	2	2	no	—
818	C₂⁴	—	2	2	no	—
819	C₂⁴	—	2	4	no	—
820	C₂⁴	—	4	2	no	—
821	C₂⁴	—	4	1	no	—
822	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
823	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
824	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
825	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
826	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
827	#41	—	2	32	no	—
828	C₂×Q₈	—	2	2	no	—
829	C₂×Q₈	—	2	2	no	—
830	C₂×Q₈	—	2	4	no	—
831	C₂×Q₈	—	4	2	no	—
832	C₂×D₄	—	2	4	no	—
833	C₂×D₄	—	2	4	no	—
834	C₂×D₄	—	2	4	no	—
835	C₂×D₄	—	2	2	no	—
836	C₂×D₄	—	2	4	no	—
837	C₂×D₄	—	2	4	no	—
838	C₂×D₄	—	2	4	no	—
839	C₂×D₄	—	2	2	no	—
840	C₂×D₄	—	2	4	no	—
841	C₂×D₄	—	2	4	no	—
842	C₂×D₄	—	2	2	no	—
843	C₂×D₄	—	2	2	no	—
844	C₂×D₄	—	2	2	no	—
845	C₂×D₄	—	2	4	no	—
846	C₂×D₄	—	4	2	no	—
847	C₂×D₄	—	4	2	no	—
848	C₂×D₄	—	4	1	no	—
849	C₂×D₄	—	4	2	no	—
850	C₂×D₄	—	4	2	no	—
851	C₂×D₄	—	4	2	no	—
852	C₂×D₄	#41×C₁₃₉	1	8	yes	—
853	C₂²×C₄	—	2	4	no	—
854	C₂²×C₄	—	2	4	no	—
855	C₂²×C₄	—	2	4	no	—
856	C₂²×C₄	—	2	4	no	—
857	C₂²×C₄	—	2	4	no	—
858	C₂²×C₄	—	2	2	no	—
859	C₂²×C₄	—	2	2	no	—
860	C₂²×C₄	—	2	4	no	—
861	C₂²×C₄	—	2	2	no	—
862	C₂²×C₄	—	2	4	no	—
863	C₂²×C₄	—	2	2	no	—
864	C₂²×C₄	—	2	4	no	—
865	C₂²×C₄	—	2	4	no	—
866	C₂²×C₄	—	2	2	no	—
867	C₂²×C₄	—	4	1	no	—
868	C₂²×C₄	—	4	2	no	—
869	C₂²×C₄	—	4	2	no	—
870	C₂²×C₄	—	4	2	no	—
871	C₂²×C₄	—	4	2	no	—
872	C₂²×C₄	—	4	2	no	—
873	C₂²×C₄	—	4	2	no	—
874	C₂²×C₄	—	4	2	no	—
875	C₂²×C₄	—	4	2	no	—
876	C₂²×C₄	—	4	2	no	—
877	C₂²×C₄	—	4	2	no	—
878	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
879	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
880	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
881	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
882	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
883	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
884	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
885	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
886	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
887	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
888	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
889	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
890	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
891	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
892	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
893	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
894	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
895	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
896	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
897	C₄⋊C₄	—	2	4	no	—
898	C₄⋊C₄	—	2	4	no	—
899	C₄⋊C₄	—	2	4	no	—
900	C₄⋊C₄	—	2	2	no	—
901	C₄⋊C₄	—	2	2	no	—
902	C₄⋊C₄	—	2	2	no	—
903	C₄⋊C₄	—	2	2	no	—
904	C₄⋊C₄	—	2	2	no	—
905	C₄⋊C₄	—	2	2	no	—
906	C₄⋊C₄	—	2	2	no	—
907	C₄⋊C₄	—	2	2	no	—
908	C₄⋊C₄	—	2	4	no	—
909	C₄⋊C₄	—	2	4	no	—
910	C₄⋊C₄	—	2	4	no	—
911	C₄⋊C₄	—	2	4	no	—
912	C₄⋊C₄	—	4	2	no	—
913	C₄⋊C₄	—	4	2	no	—
914	C₄⋊C₄	—	4	2	no	—
915	C₄⋊C₄	—	4	2	no	—
916	C₄⋊C₄	—	4	2	no	—
917	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
918	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
919	C₂²⋊C₄	—	2	2	no	—
920	C₂²⋊C₄	—	2	4	no	—
921	C₂²⋊C₄	—	2	4	no	—
922	C₂²⋊C₄	—	2	2	no	—
923	C₂²⋊C₄	—	2	2	no	—
924	C₂²⋊C₄	—	2	2	no	—
925	C₂²⋊C₄	—	2	2	no	—
926	C₂²⋊C₄	—	2	2	no	—
927	C₂²⋊C₄	—	2	2	no	—
928	C₂²⋊C₄	—	2	4	no	—
929	C₂²⋊C₄	—	2	4	no	—
930	C₂²⋊C₄	—	2	2	no	—
931	C₂²⋊C₄	—	2	2	no	—
932	C₂²⋊C₄	—	2	2	no	—
933	C₂²⋊C₄	—	2	2	no	—
934	C₂²⋊C₄	—	2	2	no	—
935	C₂²⋊C₄	—	2	4	no	—
936	C₂²⋊C₄	—	2	4	no	—
937	C₂²⋊C₄	—	2	4	no	—
938	C₂²⋊C₄	—	2	4	no	—
939	C₂²⋊C₄	—	2	4	no	—
940	C₂²⋊C₄	—	2	4	no	—
941	C₂²⋊C₄	—	4	2	no	—
942	C₂²⋊C₄	—	4	2	no	—
943	C₂²⋊C₄	—	4	2	no	—
944	C₂²⋊C₄	—	4	2	no	—
945	C₂²⋊C₄	—	4	2	no	—
946	C₂²⋊C₄	—	4	2	no	—
947	C₂²⋊C₄	—	4	2	no	—
948	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
949	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
950	C₄²	—	2	4	no	—
951	C₄²	—	2	4	no	—
952	C₄²	—	2	2	no	—
953	C₄²	—	2	4	no	—
954	C₄²	—	4	2	no	—
955	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
956	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
957	C₂³	—	2	2	no	—
958	C₂³	—	2	1	no	—
959	C₂³	—	2	1	no	—
960	C₂³	—	2	1	no	—
961	C₂³	—	2	2	no	—
962	C₂³	—	2	2	no	—
963	C₂³	—	2	2	no	—
964	C₂³	—	2	2	no	—
965	C₂³	—	2	2	no	—
966	C₂³	—	2	2	no	—
967	C₂³	—	2	2	no	—
968	C₂³	—	2	2	no	—
969	C₂³	—	2	1	no	—
970	C₂³	—	2	1	no	—
971	C₂³	—	2	1	no	—
972	C₂³	—	2	2	no	—
973	C₂³	—	2	2	no	—
974	C₂³	—	2	2	no	—
975	C₂³	—	2	2	no	—
976	C₂³	—	2	1	no	—
977	C₂³	—	2	1	no	—
978	C₂³	—	2	1	no	—
979	C₂³	—	2	1	no	—
980	C₂³	—	4	4	no	—
981	C₂³	—	4	8	no	—
982	C₂³	—	4	4	no	—
983	C₂³	—	8	2	no	—
984	C₂³	—	8	4	no	—
985	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
986	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
987	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
988	C₂³	2₋¹⁺⁴×C₁₃₉	1	2	yes	—
989	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
990	Q₈	—	2	8	no	—
991	Q₈	—	8	2	no	—
992	D₄	—	2	8	no	—
993	D₄	—	2	16	no	—
994	D₄	—	4	4	no	—
995	D₄	—	4	8	no	—
996	D₄	—	4	8	no	—
997	D₄	—	4	4	no	—
998	D₄	—	8	2	no	—
999	D₄	—	8	4	no	—
1000	C₂×C₄	—	2	16	no	—
1001	C₂×C₄	—	2	8	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	2	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	2	2	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	1	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	1	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	2	2	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	2	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	2	2	no	—
1024	C₂×C₄	—	2	2	no	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	2	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	2	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	4	4	no	—
1041	C₂×C₄	—	4	8	no	—
1042	C₂×C₄	—	8	4	no	—
1043	C₂×C₄	—	8	2	no	—
1044	C₂×C₄	—	8	2	no	—
1045	C₂×C₄	—	8	4	no	—
1046	C₂×C₄	—	8	4	no	—
1047	C₂×C₄	—	8	2	no	—
1048	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1049	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1050	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1051	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1052	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1053	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1054	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
1055	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	4	yes	—
1056	C₂²	—	2	2	no	—
1057	C₂²	—	2	2	no	—
1058	C₂²	—	2	4	no	—
1059	C₂²	—	2	4	no	—
1060	C₂²	—	2	4	no	—
1061	C₂²	—	2	2	no	—
1062	C₂²	—	2	4	no	—
1063	C₂²	—	2	4	no	—
1064	C₂²	—	2	4	no	—
1065	C₂²	—	4	1	no	—
1066	C₂²	—	4	2	no	—
1067	C₂²	—	4	2	no	—
1068	C₂²	—	4	1	no	—
1069	C₂²	—	4	2	no	—
1070	C₂²	—	4	2	no	—
1071	C₂²	—	4	2	no	—
1072	C₂²	—	4	1	no	—
1073	C₂²	—	4	1	no	—
1074	C₂²	—	4	1	no	—
1075	C₂²	—	4	1	no	—
1076	C₂²	—	4	1	no	—
1077	C₂²	—	4	1	no	—
1078	C₂²	—	4	2	no	—
1079	C₂²	—	4	2	no	—
1080	C₂²	—	4	2	no	—
1081	C₂²	—	4	2	no	—
1082	C₂²	—	8	8	no	—
1083	C₂²	#525×C₁₃₉	1	4	yes	—
1084	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1085	C₂²	C₂²×#41×C₁₃₉	1	2	yes	—
1086	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1087	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	1	yes	characteristic
1088	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1089	C₄	—	2	2	no	—
1090	C₄	—	2	2	no	—
1091	C₄	—	2	4	no	—
1092	C₄	—	2	2	no	—
1093	C₄	—	2	2	no	—
1094	C₄	—	2	2	no	—
1095	C₄	—	2	2	no	—
1096	C₄	—	2	4	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	1	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	2	no	—
1101	C₄	—	4	2	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	1	no	—
1104	C₄	—	4	2	no	—
1105	C₄	—	4	2	no	—
1106	C₄	—	4	2	no	—
1107	C₂	—	2	4	no	—
1108	C₂	—	4	2	no	—
1109	C₂	—	4	4	no	—
1110	C₂	—	8	1	no	—
1111	C₂	—	8	1	no	—
1112	C₂	C₂×#525×C₁₃₉	1	1	yes	characteristic
1113	C₂	#3489×C₁₃₉	1	1	yes	characteristic
1114	C₂	#3498×C₁₃₉	1	1	yes	characteristic
1115	C₂	#3513×C₁₃₉	1	2	yes	—
1116	C₂	#3520×C₁₃₉	1	2	yes	—

	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×#551×C₁₃₉	C₂	semidirect
2. C₂×#520×C₁₃₉	C₂	semidirect
3. #2636×C₁₃₉	C₂	semidirect
4. #2632×C₁₃₉	C₂	semidirect
5. #2623×C₁₃₉	C₂	semidirect
6. #2604×C₁₃₉	C₂	semidirect
7. #2598×C₁₃₉	C₂	semidirect
8. #2580×C₁₃₉	C₂	semidirect
9. #2540×C₁₃₉	C₂	semidirect
10. #2479×C₁₃₉	C₂	semidirect
11. #2471×C₁₃₉	C₂	semidirect
12. #2449×C₁₃₉	C₂	semidirect
13. #2449×C₁₃₉	C₂	semidirect
14. #2443×C₁₃₉	C₂	semidirect
15. #2430×C₁₃₉	C₂	semidirect
16. #2424×C₁₃₉	C₂	semidirect
17. #2404×C₁₃₉	C₂	semidirect
18. #2397×C₁₃₉	C₂	semidirect
19. #2396×C₁₃₉	C₂	semidirect
20. C₂×#399×C₁₃₉	C₂	semidirect
21. #2361×C₁₃₉	C₂	semidirect
22. #2358×C₁₃₉	C₂	semidirect
23. #2343×C₁₃₉	C₂	semidirect
34. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
40. C₂×C₄×Q₈×C₁₃₉	C₂²	semidirect
41. C₂×C₄×Q₈×C₁₃₉	C₂²	semidirect
47. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
48. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
49. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
52. C₂×#117×C₁₃₉	C₂²	semidirect
55. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
59. #400×C₁₃₉	C₂²	semidirect
60. #400×C₁₃₉	C₂²	semidirect
67. #399×C₁₃₉	C₂²	semidirect
68. #399×C₁₃₉	C₂²	semidirect
69. #399×C₁₃₉	C₂²	semidirect
70. #398×C₁₃₉	C₂²	semidirect
71. #398×C₁₃₉	C₂²	semidirect
72. #397×C₁₃₉	C₂²	semidirect
74. #396×C₁₃₉	C₂²	semidirect
75. #395×C₁₃₉	C₂²	semidirect
76. #395×C₁₃₉	C₂²	semidirect
79. #394×C₁₃₉	C₂²	semidirect
82. #393×C₁₃₉	C₂²	semidirect
86. #392×C₁₃₉	C₂²	semidirect
89. #390×C₁₃₉	C₂²	semidirect
90. #389×C₁₃₉	C₂²	semidirect
91. #389×C₁₃₉	C₂²	semidirect
95. #388×C₁₃₉	C₂²	semidirect
96. #388×C₁₃₉	C₂²	semidirect
97. #387×C₁₃₉	C₂²	semidirect
98. #387×C₁₃₉	C₂²	semidirect
99. #387×C₁₃₉	C₂²	semidirect
108. #386×C₁₃₉	C₂²	semidirect
112. #385×C₁₃₉	C₂²	semidirect
113. #385×C₁₃₉	C₂²	semidirect
114. #385×C₁₃₉	C₂²	semidirect
115. #385×C₁₃₉	C₂²	semidirect
116. #383×C₁₃₉	C₂²	semidirect
117. #382×C₁₃₉	C₂²	semidirect
119. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
120. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
123. #376×C₁₃₉	C₂²	semidirect
173. #117×C₁₃₉	D₄	semidirect
558. #35990	C₁₃₉	direct (N × H)
559. C₁₃₉	#35990	direct (N × H)
560. C₂×#551	C₂×C₁₃₉	semidirect
561. C₂×#520	C₂×C₁₃₉	semidirect
562. #2636	C₂×C₁₃₉	semidirect
563. #2632	C₂×C₁₃₉	semidirect
564. #2623	C₂×C₁₃₉	semidirect
565. #2604	C₂×C₁₃₉	semidirect
566. #2598	C₂×C₁₃₉	semidirect
567. #2580	C₂×C₁₃₉	semidirect
568. #2540	C₂×C₁₃₉	semidirect
569. #2479	C₂×C₁₃₉	semidirect
570. #2471	C₂×C₁₃₉	semidirect
571. #2449	C₂×C₁₃₉	semidirect
572. #2449	C₂×C₁₃₉	semidirect
573. #2443	C₂×C₁₃₉	semidirect
574. #2430	C₂×C₁₃₉	semidirect
575. #2424	C₂×C₁₃₉	semidirect
576. #2404	C₂×C₁₃₉	semidirect
577. #2397	C₂×C₁₃₉	semidirect
578. #2396	C₂×C₁₃₉	semidirect
579. C₂×#399	C₂×C₁₃₉	semidirect
580. #2361	C₂×C₁₃₉	semidirect
581. #2358	C₂×C₁₃₉	semidirect
582. #2343	C₂×C₁₃₉	semidirect
593. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
599. C₂×C₄×Q₈	C₂²×C₁₃₉	semidirect
600. C₂×C₄×Q₈	C₂²×C₁₃₉	semidirect
606. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
607. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
608. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
611. C₂×#117	C₂²×C₁₃₉	semidirect
614. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
618. #400	C₂²×C₁₃₉	semidirect
619. #400	C₂²×C₁₃₉	semidirect
626. #399	C₂²×C₁₃₉	semidirect
627. #399	C₂²×C₁₃₉	semidirect
628. #399	C₂²×C₁₃₉	semidirect
629. #398	C₂²×C₁₃₉	semidirect
630. #398	C₂²×C₁₃₉	semidirect
631. #397	C₂²×C₁₃₉	semidirect
633. #396	C₂²×C₁₃₉	semidirect
634. #395	C₂²×C₁₃₉	semidirect
635. #395	C₂²×C₁₃₉	semidirect
638. #394	C₂²×C₁₃₉	semidirect
641. #393	C₂²×C₁₃₉	semidirect
645. #392	C₂²×C₁₃₉	semidirect
648. #390	C₂²×C₁₃₉	semidirect
649. #389	C₂²×C₁₃₉	semidirect
650. #389	C₂²×C₁₃₉	semidirect
654. #388	C₂²×C₁₃₉	semidirect
655. #388	C₂²×C₁₃₉	semidirect
656. #387	C₂²×C₁₃₉	semidirect
657. #387	C₂²×C₁₃₉	semidirect
658. #387	C₂²×C₁₃₉	semidirect
667. #386	C₂²×C₁₃₉	semidirect
671. #385	C₂²×C₁₃₉	semidirect
672. #385	C₂²×C₁₃₉	semidirect
673. #385	C₂²×C₁₃₉	semidirect
674. #385	C₂²×C₁₃₉	semidirect
675. #383	C₂²×C₁₃₉	semidirect
676. #382	C₂²×C₁₃₉	semidirect
678. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
679. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
682. #376	C₂²×C₁₃₉	semidirect
732. #117	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×#551×C₁₃₉	2
C₂×#520×C₁₃₉	2
#2636×C₁₃₉	2
#2632×C₁₃₉	2
#2623×C₁₃₉	2
#2604×C₁₃₉	2
#2598×C₁₃₉	2
#2580×C₁₃₉	2
#2540×C₁₃₉	2
#2479×C₁₃₉	2
#2471×C₁₃₉	2
#2449×C₁₃₉	2
#2443×C₁₃₉	2
#2430×C₁₃₉	2
#2424×C₁₃₉	2
#2404×C₁₃₉	2
#2397×C₁₃₉	2
#2396×C₁₃₉	2
C₂×#399×C₁₃₉	2
#2361×C₁₃₉	2
#2358×C₁₃₉	2
#2343×C₁₃₉	2
#35990	139

Subgroups — C139×#35990 #48030586

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#35990 #48030586