Subgroups — C₁₃₉×#35979 #48030575

Order 35584.

2552 conjugacy classes of subgroups.

The subgroup lattice has 1104 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	#2637×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2631×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2623×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2603×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2599×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2592×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2535×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2481×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2477×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2471×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2450×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	#2398×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2392×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#397×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2364×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×#121×C₁₃₉	C₂²	1	2	yes	—
35	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
36	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
37	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
38	#520×C₁₃₉	—	2	8	no	—
39	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
43	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
45	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
46	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
48	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
49	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
50	C₂×#117×C₁₃₉	C₂²	1	2	yes	complemented
51	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
52	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
53	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
54	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
55	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
56	#400×C₁₃₉	C₂²	1	2	yes	complemented
57	#400×C₁₃₉	C₂²	1	2	yes	complemented
58	#399×C₁₃₉	C₂²	1	2	yes	complemented
59	#398×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
60	#398×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
61	#398×C₁₃₉	C₂²	1	2	yes	complemented
62	#397×C₁₃₉	C₂²	1	1	yes	characteristic
63	#397×C₁₃₉	C₂²	1	1	yes	characteristic
64	#397×C₁₃₉	C₂²	1	1	yes	characteristic
65	#397×C₁₃₉	C₂²	1	1	yes	characteristic
66	#397×C₁₃₉	C₂²	1	2	yes	—
67	#397×C₁₃₉	C₂²	1	2	yes	—
68	#397×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
69	#397×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
70	#396×C₁₃₉	C₂²	1	2	yes	—
71	#396×C₁₃₉	C₂²	1	2	yes	complemented
72	#395×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
73	#394×C₁₃₉	C₂²	1	2	yes	—
74	#394×C₁₃₉	C₂²	1	2	yes	—
75	#394×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
76	#393×C₁₃₉	C₂²	1	1	yes	characteristic
77	#393×C₁₃₉	C₂²	1	1	yes	characteristic
78	#393×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
79	#393×C₁₃₉	C₂²	1	2	yes	complemented
80	#392×C₁₃₉	C₂²	1	1	yes	characteristic
81	#392×C₁₃₉	C₂²	1	1	yes	characteristic
82	#392×C₁₃₉	C₂²	1	2	yes	—
83	#392×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
84	#391×C₁₃₉	C₂²	1	2	yes	complemented
85	#390×C₁₃₉	C₂²	1	2	yes	—
86	#390×C₁₃₉	C₂²	1	2	yes	—
87	#388×C₁₃₉	C₂²	1	2	yes	—
88	#388×C₁₃₉	C₂²	1	2	yes	—
89	#388×C₁₃₉	C₂²	1	2	yes	—
90	#388×C₁₃₉	C₂²	1	2	yes	complemented
91	#388×C₁₃₉	C₂²	1	2	yes	complemented
92	#387×C₁₃₉	C₂²	1	2	yes	complemented
93	#387×C₁₃₉	C₂²	1	2	yes	complemented
94	#387×C₁₃₉	C₂²	1	2	yes	complemented
95	#387×C₁₃₉	C₂²	1	2	yes	complemented
96	#387×C₁₃₉	C₂²	1	2	yes	complemented
97	#386×C₁₃₉	C₂²	1	2	yes	—
98	#386×C₁₃₉	C₂²	1	2	yes	—
99	#386×C₁₃₉	C₂²	1	2	yes	—
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	complemented
106	#386×C₁₃₉	C₂²	1	2	yes	complemented
107	#386×C₁₃₉	C₂²	1	2	yes	complemented
108	#385×C₁₃₉	C₂²	1	2	yes	—
109	#385×C₁₃₉	C₂²	1	2	yes	—
110	#385×C₁₃₉	C₂²	1	2	yes	—
111	#385×C₁₃₉	C₂²	1	2	yes	complemented
112	#385×C₁₃₉	C₂²	1	2	yes	complemented
113	#383×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
114	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
115	#381×C₁₃₉	C₂²	1	1	yes	characteristic
116	#380×C₁₃₉	C₂²	1	2	yes	complemented
117	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
118	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
121	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
122	#376×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
123	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
124	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
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	1	yes	characteristic
136	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
137	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
138	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
139	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
142	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
144	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
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	#121×C₁₃₉	—	2	8	no	—
157	#121×C₁₃₉	—	4	4	no	—
158	#120×C₁₃₉	—	2	8	no	—
159	#120×C₁₃₉	—	2	4	no	—
160	C₄×Q₈×C₁₃₉	—	2	4	no	—
161	C₄×Q₈×C₁₃₉	—	2	4	no	—
162	C₄×D₄×C₁₃₉	—	2	8	no	—
163	C₄×D₄×C₁₃₉	—	2	8	no	—
164	C₄×D₄×C₁₃₉	—	2	4	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	—	4	4	no	—
169	#117×C₁₃₉	—	2	8	no	—
170	#117×C₁₃₉	—	2	4	no	—
171	#117×C₁₃₉	D₄	1	8	yes	complemented
172	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
173	C₂×C₄⋊C₄×C₁₃₉	—	2	8	no	—
174	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
175	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
176	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
177	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
178	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
183	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
184	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
185	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
186	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
187	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
188	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
189	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
190	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
191	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
192	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
193	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
194	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
195	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
199	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
200	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
201	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
209	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
211	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
213	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
214	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
215	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
216	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
217	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
218	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
219	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
225	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
228	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
229	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
230	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
231	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
233	#95×C₁₃₉	C₂³	1	1	yes	characteristic
234	#95×C₁₃₉	C₂³	1	2	yes	—
235	#95×C₁₃₉	C₂³	1	2	yes	—
236	#95×C₁₃₉	C₂³	1	2	yes	—
237	#95×C₁₃₉	C₂³	1	2	yes	—
238	#95×C₁₃₉	C₂³	1	1	yes	characteristic
239	#95×C₁₃₉	C₂³	1	2	yes	—
240	#95×C₁₃₉	C₂³	1	2	yes	—
241	#95×C₁₃₉	C₂³	1	2	yes	—
242	#95×C₁₃₉	C₂³	1	1	yes	characteristic
243	#95×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
252	#95×C₁₃₉	C₂³	1	2	yes	—
253	#95×C₁₃₉	C₂³	1	2	yes	—
254	#95×C₁₃₉	C₂³	1	2	yes	—
255	C₂⁴×C₁₃₉	—	2	2	no	—
256	C₂⁴×C₁₃₉	—	2	2	no	—
257	C₂⁴×C₁₃₉	—	2	4	no	—
258	C₂⁴×C₁₃₉	—	4	1	no	—
259	C₂⁴×C₁₃₉	—	4	2	no	—
260	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
261	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
262	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
263	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
264	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
265	#41×C₁₃₉	—	2	32	no	—
266	C₂×Q₈×C₁₃₉	—	2	2	no	—
267	C₂×Q₈×C₁₃₉	—	2	2	no	—
268	C₂×Q₈×C₁₃₉	—	2	4	no	—
269	C₂×Q₈×C₁₃₉	—	4	2	no	—
270	C₂×D₄×C₁₃₉	—	2	4	no	—
271	C₂×D₄×C₁₃₉	—	2	4	no	—
272	C₂×D₄×C₁₃₉	—	2	4	no	—
273	C₂×D₄×C₁₃₉	—	2	2	no	—
274	C₂×D₄×C₁₃₉	—	2	4	no	—
275	C₂×D₄×C₁₃₉	—	2	4	no	—
276	C₂×D₄×C₁₃₉	—	2	4	no	—
277	C₂×D₄×C₁₃₉	—	2	2	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	2	no	—
282	C₂×D₄×C₁₃₉	—	2	2	no	—
283	C₂×D₄×C₁₃₉	—	4	1	no	—
284	C₂×D₄×C₁₃₉	—	4	2	no	—
285	C₂×D₄×C₁₃₉	—	4	2	no	—
286	C₂×D₄×C₁₃₉	—	4	2	no	—
287	C₂×D₄×C₁₃₉	—	4	2	no	—
288	C₂×D₄×C₁₃₉	—	4	2	no	—
289	C₂×D₄×C₁₃₉	—	4	2	no	—
290	C₂×D₄×C₁₃₉	#41	1	8	yes	—
291	C₂²×C₄×C₁₃₉	—	2	4	no	—
292	C₂²×C₄×C₁₃₉	—	2	4	no	—
293	C₂²×C₄×C₁₃₉	—	2	4	no	—
294	C₂²×C₄×C₁₃₉	—	2	4	no	—
295	C₂²×C₄×C₁₃₉	—	2	2	no	—
296	C₂²×C₄×C₁₃₉	—	2	2	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	4	no	—
303	C₂²×C₄×C₁₃₉	—	2	2	no	—
304	C₂²×C₄×C₁₃₉	—	4	1	no	—
305	C₂²×C₄×C₁₃₉	—	4	2	no	—
306	C₂²×C₄×C₁₃₉	—	4	2	no	—
307	C₂²×C₄×C₁₃₉	—	4	2	no	—
308	C₂²×C₄×C₁₃₉	—	4	2	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	C₂×D₄	1	4	yes	—
317	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
318	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
319	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
320	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
321	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
322	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
323	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
324	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
325	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
326	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
327	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
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	2	yes	—
335	C₄⋊C₄×C₁₃₉	—	2	4	no	—
336	C₄⋊C₄×C₁₃₉	—	2	4	no	—
337	C₄⋊C₄×C₁₃₉	—	2	4	no	—
338	C₄⋊C₄×C₁₃₉	—	2	2	no	—
339	C₄⋊C₄×C₁₃₉	—	2	2	no	—
340	C₄⋊C₄×C₁₃₉	—	2	2	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	4	no	—
347	C₄⋊C₄×C₁₃₉	—	4	2	no	—
348	C₄⋊C₄×C₁₃₉	—	4	2	no	—
349	C₄⋊C₄×C₁₃₉	—	4	2	no	—
350	C₄⋊C₄×C₁₃₉	—	4	2	no	—
351	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
352	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
353	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
354	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
355	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
356	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
357	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
358	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
359	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
360	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
361	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
362	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
363	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
364	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
365	C₂²⋊C₄×C₁₃₉	—	2	4	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	2	no	—
370	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
371	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
372	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
373	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
374	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
375	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
376	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
377	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
378	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
379	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
380	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
381	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
382	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
383	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
384	C₄²×C₁₃₉	—	2	4	no	—
385	C₄²×C₁₃₉	—	2	4	no	—
386	C₄²×C₁₃₉	—	2	2	no	—
387	C₄²×C₁₃₉	—	4	2	no	—
388	C₄²×C₁₃₉	—	4	2	no	—
389	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
390	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
391	C₂³×C₁₃₉	—	2	1	no	—
392	C₂³×C₁₃₉	—	2	1	no	—
393	C₂³×C₁₃₉	—	2	2	no	—
394	C₂³×C₁₃₉	—	2	1	no	—
395	C₂³×C₁₃₉	—	2	2	no	—
396	C₂³×C₁₃₉	—	2	2	no	—
397	C₂³×C₁₃₉	—	2	2	no	—
398	C₂³×C₁₃₉	—	2	2	no	—
399	C₂³×C₁₃₉	—	2	2	no	—
400	C₂³×C₁₃₉	—	2	2	no	—
401	C₂³×C₁₃₉	—	2	2	no	—
402	C₂³×C₁₃₉	—	2	1	no	—
403	C₂³×C₁₃₉	—	2	2	no	—
404	C₂³×C₁₃₉	—	2	1	no	—
405	C₂³×C₁₃₉	—	2	1	no	—
406	C₂³×C₁₃₉	—	2	2	no	—
407	C₂³×C₁₃₉	—	2	2	no	—
408	C₂³×C₁₃₉	—	2	1	no	—
409	C₂³×C₁₃₉	—	2	1	no	—
410	C₂³×C₁₃₉	—	2	1	no	—
411	C₂³×C₁₃₉	—	2	2	no	—
412	C₂³×C₁₃₉	—	2	1	no	—
413	C₂³×C₁₃₉	—	2	2	no	—
414	C₂³×C₁₃₉	—	4	4	no	—
415	C₂³×C₁₃₉	—	4	8	no	—
416	C₂³×C₁₃₉	—	4	4	no	—
417	C₂³×C₁₃₉	—	8	2	no	—
418	C₂³×C₁₃₉	—	8	4	no	—
419	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
420	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
421	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
422	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
423	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
424	Q₈×C₁₃₉	—	2	8	no	—
425	Q₈×C₁₃₉	—	8	2	no	—
426	D₄×C₁₃₉	—	2	8	no	—
427	D₄×C₁₃₉	—	2	16	no	—
428	D₄×C₁₃₉	—	4	4	no	—
429	D₄×C₁₃₉	—	4	8	no	—
430	D₄×C₁₃₉	—	4	4	no	—
431	D₄×C₁₃₉	—	8	2	no	—
432	D₄×C₁₃₉	—	8	4	no	—
433	D₄×C₁₃₉	—	8	4	no	—
434	C₂×C₄×C₁₃₉	—	2	16	no	—
435	C₂×C₄×C₁₃₉	—	2	8	no	—
436	C₂×C₄×C₁₃₉	—	2	2	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	1	no	—
441	C₂×C₄×C₁₃₉	—	2	1	no	—
442	C₂×C₄×C₁₃₉	—	2	2	no	—
443	C₂×C₄×C₁₃₉	—	2	2	no	—
444	C₂×C₄×C₁₃₉	—	2	1	no	—
445	C₂×C₄×C₁₃₉	—	2	1	no	—
446	C₂×C₄×C₁₃₉	—	2	1	no	—
447	C₂×C₄×C₁₃₉	—	2	1	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	2	no	—
455	C₂×C₄×C₁₃₉	—	2	2	no	—
456	C₂×C₄×C₁₃₉	—	2	2	no	—
457	C₂×C₄×C₁₃₉	—	2	2	no	—
458	C₂×C₄×C₁₃₉	—	2	2	no	—
459	C₂×C₄×C₁₃₉	—	2	2	no	—
460	C₂×C₄×C₁₃₉	—	2	2	no	—
461	C₂×C₄×C₁₃₉	—	2	2	no	—
462	C₂×C₄×C₁₃₉	—	2	2	no	—
463	C₂×C₄×C₁₃₉	—	2	1	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	1	no	—
474	C₂×C₄×C₁₃₉	—	2	2	no	—
475	C₂×C₄×C₁₃₉	—	4	4	no	—
476	C₂×C₄×C₁₃₉	—	8	4	no	—
477	C₂×C₄×C₁₃₉	—	8	4	no	—
478	C₂×C₄×C₁₃₉	—	8	2	no	—
479	C₂×C₄×C₁₃₉	—	8	2	no	—
480	C₂×C₄×C₁₃₉	—	8	4	no	—
481	C₂×C₄×C₁₃₉	—	8	2	no	—
482	C₂×C₄×C₁₃₉	—	8	4	no	—
483	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
484	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
485	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
486	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
487	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
488	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
489	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
490	C₂²×C₁₃₉	—	2	2	no	—
491	C₂²×C₁₃₉	—	2	2	no	—
492	C₂²×C₁₃₉	—	2	4	no	—
493	C₂²×C₁₃₉	—	2	4	no	—
494	C₂²×C₁₃₉	—	2	4	no	—
495	C₂²×C₁₃₉	—	2	2	no	—
496	C₂²×C₁₃₉	—	2	4	no	—
497	C₂²×C₁₃₉	—	2	4	no	—
498	C₂²×C₁₃₉	—	2	4	no	—
499	C₂²×C₁₃₉	—	4	1	no	—
500	C₂²×C₁₃₉	—	4	2	no	—
501	C₂²×C₁₃₉	—	4	1	no	—
502	C₂²×C₁₃₉	—	4	2	no	—
503	C₂²×C₁₃₉	—	4	2	no	—
504	C₂²×C₁₃₉	—	4	2	no	—
505	C₂²×C₁₃₉	—	4	2	no	—
506	C₂²×C₁₃₉	—	4	1	no	—
507	C₂²×C₁₃₉	—	4	1	no	—
508	C₂²×C₁₃₉	—	4	1	no	—
509	C₂²×C₁₃₉	—	4	1	no	—
510	C₂²×C₁₃₉	—	4	1	no	—
511	C₂²×C₁₃₉	—	4	1	no	—
512	C₂²×C₁₃₉	—	4	2	no	—
513	C₂²×C₁₃₉	—	4	2	no	—
514	C₂²×C₁₃₉	—	4	2	no	—
515	C₂²×C₁₃₉	—	4	2	no	—
516	C₂²×C₁₃₉	—	8	8	no	—
517	C₂²×C₁₃₉	#525	1	4	yes	—
518	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
519	C₂²×C₁₃₉	C₂²×#41	1	2	yes	—
520	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
521	C₂²×C₁₃₉	#585	1	1	yes	characteristic
522	C₂²×C₁₃₉	#585	1	2	yes	—
523	C₄×C₁₃₉	—	2	2	no	—
524	C₄×C₁₃₉	—	2	2	no	—
525	C₄×C₁₃₉	—	2	4	no	—
526	C₄×C₁₃₉	—	2	2	no	—
527	C₄×C₁₃₉	—	2	2	no	—
528	C₄×C₁₃₉	—	2	2	no	—
529	C₄×C₁₃₉	—	2	2	no	—
530	C₄×C₁₃₉	—	4	1	no	—
531	C₄×C₁₃₉	—	4	1	no	—
532	C₄×C₁₃₉	—	4	2	no	—
533	C₄×C₁₃₉	—	4	2	no	—
534	C₄×C₁₃₉	—	4	1	no	—
535	C₄×C₁₃₉	—	4	1	no	—
536	C₄×C₁₃₉	—	4	1	no	—
537	C₄×C₁₃₉	—	4	2	no	—
538	C₄×C₁₃₉	—	4	2	no	—
539	C₄×C₁₃₉	—	4	2	no	—
540	C₄×C₁₃₉	—	4	2	no	—
541	C₂×C₁₃₉	—	2	4	no	—
542	C₂×C₁₃₉	—	4	4	no	—
543	C₂×C₁₃₉	—	4	2	no	—
544	C₂×C₁₃₉	—	8	1	no	—
545	C₂×C₁₃₉	—	8	1	no	—
546	C₂×C₁₃₉	C₂×#525	1	1	yes	characteristic
547	C₂×C₁₃₉	#3488	1	1	yes	characteristic
548	C₂×C₁₃₉	#3500	1	1	yes	characteristic
549	C₂×C₁₃₉	#3513	1	2	yes	—
550	C₂×C₁₃₉	#3521	1	2	yes	—
551	#35979	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
552	C₁₃₉	#35979	1	1	yes	characteristic, direct product factor, Sylow
553	C₂×#551	C₂×C₁₃₉	1	1	yes	characteristic, complemented
554	C₂×#520	C₂×C₁₃₉	1	1	yes	characteristic, complemented
555	#2637	C₂×C₁₃₉	1	1	yes	characteristic, complemented
556	#2631	C₂×C₁₃₉	1	1	yes	characteristic, complemented
557	#2623	C₂×C₁₃₉	1	1	yes	characteristic, complemented
558	#2603	C₂×C₁₃₉	1	1	yes	characteristic, complemented
559	#2599	C₂×C₁₃₉	1	1	yes	characteristic, complemented
560	#2592	C₂×C₁₃₉	1	1	yes	characteristic, complemented
561	#2535	C₂×C₁₃₉	1	1	yes	characteristic, complemented
562	#2481	C₂×C₁₃₉	1	2	yes	complemented
563	#2477	C₂×C₁₃₉	1	2	yes	complemented
564	#2471	C₂×C₁₃₉	1	2	yes	complemented
565	#2450	C₂×C₁₃₉	1	2	yes	complemented
566	#2443	C₂×C₁₃₉	1	2	yes	complemented
567	#2430	C₂×C₁₃₉	1	1	yes	characteristic, complemented
568	#2424	C₂×C₁₃₉	1	2	yes	complemented
569	#2404	C₂×C₁₃₉	1	1	yes	characteristic, complemented
570	#2398	C₂×C₁₃₉	1	1	yes	characteristic, complemented
571	#2392	C₂×C₁₃₉	1	1	yes	characteristic, complemented
572	C₂×#397	C₂×C₁₃₉	1	1	yes	characteristic, complemented
573	#2364	C₂×C₁₃₉	1	2	yes	complemented
574	#2358	C₂×C₁₃₉	1	2	yes	complemented
575	#2343	C₂×C₁₃₉	1	1	yes	characteristic, complemented
576	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic
577	#551	—	2	8	no	—
578	C₂×#126	C₂²×C₁₃₉	1	1	yes	characteristic
579	C₂×#126	C₂²×C₁₃₉	1	1	yes	characteristic
580	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
581	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
582	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
583	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
584	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
585	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
586	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
587	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
588	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
589	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
590	#520	—	2	8	no	—
591	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
592	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
593	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
594	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
595	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
596	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
597	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
598	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
599	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
600	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
601	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
602	C₂×#117	C₂²×C₁₃₉	1	2	yes	complemented
603	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
604	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
605	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
606	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
607	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
608	#400	C₂²×C₁₃₉	1	2	yes	complemented
609	#400	C₂²×C₁₃₉	1	2	yes	complemented
610	#399	C₂²×C₁₃₉	1	2	yes	complemented
611	#398	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
612	#398	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
613	#398	C₂²×C₁₃₉	1	2	yes	complemented
614	#397	C₂²×C₁₃₉	1	1	yes	characteristic
615	#397	C₂²×C₁₃₉	1	1	yes	characteristic
616	#397	C₂²×C₁₃₉	1	1	yes	characteristic
617	#397	C₂²×C₁₃₉	1	1	yes	characteristic
618	#397	C₂²×C₁₃₉	1	2	yes	—
619	#397	C₂²×C₁₃₉	1	2	yes	—
620	#397	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
621	#397	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
622	#396	C₂²×C₁₃₉	1	2	yes	—
623	#396	C₂²×C₁₃₉	1	2	yes	complemented
624	#395	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
625	#394	C₂²×C₁₃₉	1	2	yes	—
626	#394	C₂²×C₁₃₉	1	2	yes	—
627	#394	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
628	#393	C₂²×C₁₃₉	1	1	yes	characteristic
629	#393	C₂²×C₁₃₉	1	1	yes	characteristic
630	#393	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
631	#393	C₂²×C₁₃₉	1	2	yes	complemented
632	#392	C₂²×C₁₃₉	1	1	yes	characteristic
633	#392	C₂²×C₁₃₉	1	2	yes	—
634	#392	C₂²×C₁₃₉	1	1	yes	characteristic
635	#392	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
636	#391	C₂²×C₁₃₉	1	2	yes	complemented
637	#390	C₂²×C₁₃₉	1	2	yes	—
638	#390	C₂²×C₁₃₉	1	2	yes	—
639	#388	C₂²×C₁₃₉	1	2	yes	—
640	#388	C₂²×C₁₃₉	1	2	yes	—
641	#388	C₂²×C₁₃₉	1	2	yes	—
642	#388	C₂²×C₁₃₉	1	2	yes	complemented
643	#388	C₂²×C₁₃₉	1	2	yes	complemented
644	#387	C₂²×C₁₃₉	1	2	yes	complemented
645	#387	C₂²×C₁₃₉	1	2	yes	complemented
646	#387	C₂²×C₁₃₉	1	2	yes	complemented
647	#387	C₂²×C₁₃₉	1	2	yes	complemented
648	#387	C₂²×C₁₃₉	1	2	yes	complemented
649	#386	C₂²×C₁₃₉	1	2	yes	—
650	#386	C₂²×C₁₃₉	1	2	yes	—
651	#386	C₂²×C₁₃₉	1	2	yes	—
652	#386	C₂²×C₁₃₉	1	2	yes	—
653	#386	C₂²×C₁₃₉	1	2	yes	—
654	#386	C₂²×C₁₃₉	1	2	yes	—
655	#386	C₂²×C₁₃₉	1	2	yes	—
656	#386	C₂²×C₁₃₉	1	2	yes	—
657	#386	C₂²×C₁₃₉	1	2	yes	complemented
658	#386	C₂²×C₁₃₉	1	2	yes	complemented
659	#386	C₂²×C₁₃₉	1	2	yes	complemented
660	#385	C₂²×C₁₃₉	1	2	yes	—
661	#385	C₂²×C₁₃₉	1	2	yes	—
662	#385	C₂²×C₁₃₉	1	2	yes	—
663	#385	C₂²×C₁₃₉	1	2	yes	complemented
664	#385	C₂²×C₁₃₉	1	2	yes	complemented
665	#383	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
666	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
667	#381	C₂²×C₁₃₉	1	1	yes	characteristic
668	#380	C₂²×C₁₃₉	1	2	yes	complemented
669	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
670	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
671	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
672	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
673	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
674	#376	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
675	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
676	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
677	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
678	C₂×#41	—	2	8	no	—
679	C₂×#41	—	2	4	no	—
680	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
681	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
682	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
683	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
684	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
685	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
686	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
687	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
688	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
689	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
690	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
691	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
692	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
693	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
694	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
695	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
696	C₂³×C₄	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	#126	—	2	4	no	—
701	#126	—	2	4	no	—
702	#124	—	2	4	no	—
703	#123	—	2	4	no	—
704	#123	—	2	4	no	—
705	#123	—	2	4	no	—
706	C₂²⋊Q₈	—	2	4	no	—
707	C₂²⋊Q₈	—	2	4	no	—
708	#121	—	2	8	no	—
709	#121	—	4	4	no	—
710	#120	—	2	8	no	—
711	#120	—	2	4	no	—
712	C₄×Q₈	—	2	4	no	—
713	C₄×Q₈	—	2	4	no	—
714	C₄×D₄	—	2	8	no	—
715	C₄×D₄	—	2	8	no	—
716	C₄×D₄	—	2	4	no	—
717	C₄×D₄	—	2	4	no	—
718	C₄×D₄	—	2	4	no	—
719	C₄×D₄	—	2	4	no	—
720	C₄×D₄	—	4	4	no	—
721	#117	—	2	8	no	—
722	#117	—	2	4	no	—
723	#117	D₄×C₁₃₉	1	8	yes	complemented
724	C₂×C₄⋊C₄	—	2	4	no	—
725	C₂×C₄⋊C₄	—	2	8	no	—
726	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
727	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
728	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
729	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
730	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
731	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
732	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
733	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
734	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
735	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
736	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
737	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
738	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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	1	yes	characteristic
743	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
744	C₂×C₂²⋊C₄	—	2	4	no	—
745	C₂×C₂²⋊C₄	—	2	4	no	—
746	C₂×C₂²⋊C₄	—	4	4	no	—
747	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
748	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
749	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
750	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
751	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
752	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
753	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
754	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
755	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
756	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
757	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
758	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
759	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
760	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
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	2	yes	—
765	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
766	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
767	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
768	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
769	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
770	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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	2	yes	—
775	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
776	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
777	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
778	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
779	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
780	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
781	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
782	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
783	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
784	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
785	#95	C₂³×C₁₃₉	1	1	yes	characteristic
786	#95	C₂³×C₁₃₉	1	2	yes	—
787	#95	C₂³×C₁₃₉	1	2	yes	—
788	#95	C₂³×C₁₃₉	1	1	yes	characteristic
789	#95	C₂³×C₁₃₉	1	2	yes	—
790	#95	C₂³×C₁₃₉	1	2	yes	—
791	#95	C₂³×C₁₃₉	1	2	yes	—
792	#95	C₂³×C₁₃₉	1	1	yes	characteristic
793	#95	C₂³×C₁₃₉	1	2	yes	—
794	#95	C₂³×C₁₃₉	1	2	yes	—
795	#95	C₂³×C₁₃₉	1	2	yes	—
796	#95	C₂³×C₁₃₉	1	2	yes	—
797	#95	C₂³×C₁₃₉	1	2	yes	—
798	#95	C₂³×C₁₃₉	1	2	yes	—
799	#95	C₂³×C₁₃₉	1	2	yes	—
800	#95	C₂³×C₁₃₉	1	1	yes	characteristic
801	#95	C₂³×C₁₃₉	1	2	yes	—
802	#95	C₂³×C₁₃₉	1	2	yes	—
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	C₂⁴	—	2	2	no	—
808	C₂⁴	—	2	2	no	—
809	C₂⁴	—	2	4	no	—
810	C₂⁴	—	4	1	no	—
811	C₂⁴	—	4	2	no	—
812	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
813	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
814	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
815	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
816	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
817	#41	—	2	32	no	—
818	C₂×Q₈	—	2	2	no	—
819	C₂×Q₈	—	2	2	no	—
820	C₂×Q₈	—	2	4	no	—
821	C₂×Q₈	—	4	2	no	—
822	C₂×D₄	—	2	4	no	—
823	C₂×D₄	—	2	4	no	—
824	C₂×D₄	—	2	4	no	—
825	C₂×D₄	—	2	2	no	—
826	C₂×D₄	—	2	4	no	—
827	C₂×D₄	—	2	4	no	—
828	C₂×D₄	—	2	4	no	—
829	C₂×D₄	—	2	2	no	—
830	C₂×D₄	—	2	4	no	—
831	C₂×D₄	—	2	4	no	—
832	C₂×D₄	—	2	2	no	—
833	C₂×D₄	—	2	2	no	—
834	C₂×D₄	—	2	2	no	—
835	C₂×D₄	—	4	1	no	—
836	C₂×D₄	—	4	2	no	—
837	C₂×D₄	—	4	2	no	—
838	C₂×D₄	—	4	2	no	—
839	C₂×D₄	—	4	2	no	—
840	C₂×D₄	—	4	2	no	—
841	C₂×D₄	—	4	2	no	—
842	C₂×D₄	#41×C₁₃₉	1	8	yes	—
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	2	no	—
848	C₂²×C₄	—	2	2	no	—
849	C₂²×C₄	—	2	4	no	—
850	C₂²×C₄	—	2	4	no	—
851	C₂²×C₄	—	2	2	no	—
852	C₂²×C₄	—	2	2	no	—
853	C₂²×C₄	—	2	4	no	—
854	C₂²×C₄	—	2	4	no	—
855	C₂²×C₄	—	2	2	no	—
856	C₂²×C₄	—	4	1	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	—	4	2	no	—
864	C₂²×C₄	—	4	2	no	—
865	C₂²×C₄	—	4	2	no	—
866	C₂²×C₄	—	4	2	no	—
867	C₂²×C₄	—	4	2	no	—
868	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
869	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
870	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
871	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
872	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
873	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
874	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
875	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
876	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
877	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
878	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
879	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
880	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
881	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
882	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
883	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
884	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
885	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
886	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
887	C₄⋊C₄	—	2	4	no	—
888	C₄⋊C₄	—	2	4	no	—
889	C₄⋊C₄	—	2	4	no	—
890	C₄⋊C₄	—	2	2	no	—
891	C₄⋊C₄	—	2	2	no	—
892	C₄⋊C₄	—	2	2	no	—
893	C₄⋊C₄	—	2	2	no	—
894	C₄⋊C₄	—	2	2	no	—
895	C₄⋊C₄	—	2	2	no	—
896	C₄⋊C₄	—	2	2	no	—
897	C₄⋊C₄	—	2	2	no	—
898	C₄⋊C₄	—	2	4	no	—
899	C₄⋊C₄	—	4	2	no	—
900	C₄⋊C₄	—	4	2	no	—
901	C₄⋊C₄	—	4	2	no	—
902	C₄⋊C₄	—	4	2	no	—
903	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
904	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
905	C₂²⋊C₄	—	2	2	no	—
906	C₂²⋊C₄	—	2	4	no	—
907	C₂²⋊C₄	—	2	4	no	—
908	C₂²⋊C₄	—	2	4	no	—
909	C₂²⋊C₄	—	2	4	no	—
910	C₂²⋊C₄	—	2	2	no	—
911	C₂²⋊C₄	—	2	2	no	—
912	C₂²⋊C₄	—	2	2	no	—
913	C₂²⋊C₄	—	2	2	no	—
914	C₂²⋊C₄	—	2	2	no	—
915	C₂²⋊C₄	—	2	2	no	—
916	C₂²⋊C₄	—	2	4	no	—
917	C₂²⋊C₄	—	2	4	no	—
918	C₂²⋊C₄	—	2	2	no	—
919	C₂²⋊C₄	—	2	2	no	—
920	C₂²⋊C₄	—	2	2	no	—
921	C₂²⋊C₄	—	2	2	no	—
922	C₂²⋊C₄	—	2	2	no	—
923	C₂²⋊C₄	—	2	4	no	—
924	C₂²⋊C₄	—	2	4	no	—
925	C₂²⋊C₄	—	2	4	no	—
926	C₂²⋊C₄	—	4	2	no	—
927	C₂²⋊C₄	—	4	2	no	—
928	C₂²⋊C₄	—	4	2	no	—
929	C₂²⋊C₄	—	4	2	no	—
930	C₂²⋊C₄	—	4	2	no	—
931	C₂²⋊C₄	—	4	2	no	—
932	C₂²⋊C₄	—	4	2	no	—
933	C₂²⋊C₄	—	4	2	no	—
934	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
935	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
936	C₄²	—	2	4	no	—
937	C₄²	—	2	4	no	—
938	C₄²	—	2	2	no	—
939	C₄²	—	4	2	no	—
940	C₄²	—	4	2	no	—
941	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
942	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
943	C₂³	—	2	1	no	—
944	C₂³	—	2	1	no	—
945	C₂³	—	2	2	no	—
946	C₂³	—	2	1	no	—
947	C₂³	—	2	2	no	—
948	C₂³	—	2	2	no	—
949	C₂³	—	2	2	no	—
950	C₂³	—	2	2	no	—
951	C₂³	—	2	2	no	—
952	C₂³	—	2	2	no	—
953	C₂³	—	2	2	no	—
954	C₂³	—	2	1	no	—
955	C₂³	—	2	2	no	—
956	C₂³	—	2	1	no	—
957	C₂³	—	2	1	no	—
958	C₂³	—	2	2	no	—
959	C₂³	—	2	2	no	—
960	C₂³	—	2	1	no	—
961	C₂³	—	2	1	no	—
962	C₂³	—	2	1	no	—
963	C₂³	—	2	2	no	—
964	C₂³	—	2	1	no	—
965	C₂³	—	2	2	no	—
966	C₂³	—	4	4	no	—
967	C₂³	—	4	8	no	—
968	C₂³	—	4	4	no	—
969	C₂³	—	8	2	no	—
970	C₂³	—	8	4	no	—
971	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
972	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
973	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
974	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
975	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
976	Q₈	—	2	8	no	—
977	Q₈	—	8	2	no	—
978	D₄	—	2	8	no	—
979	D₄	—	2	16	no	—
980	D₄	—	4	4	no	—
981	D₄	—	4	8	no	—
982	D₄	—	4	4	no	—
983	D₄	—	8	2	no	—
984	D₄	—	8	4	no	—
985	D₄	—	8	4	no	—
986	C₂×C₄	—	2	16	no	—
987	C₂×C₄	—	2	8	no	—
988	C₂×C₄	—	2	2	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	2	no	—
991	C₂×C₄	—	2	2	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	2	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	1	no	—
997	C₂×C₄	—	2	1	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	1	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	2	no	—
1010	C₂×C₄	—	2	2	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	2	2	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	2	2	no	—
1018	C₂×C₄	—	2	2	no	—
1019	C₂×C₄	—	2	2	no	—
1020	C₂×C₄	—	2	2	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	1	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	4	4	no	—
1028	C₂×C₄	—	8	4	no	—
1029	C₂×C₄	—	8	4	no	—
1030	C₂×C₄	—	8	2	no	—
1031	C₂×C₄	—	8	2	no	—
1032	C₂×C₄	—	8	4	no	—
1033	C₂×C₄	—	8	2	no	—
1034	C₂×C₄	—	8	4	no	—
1035	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1036	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1037	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1038	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1039	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1040	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1041	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
1042	C₂²	—	2	2	no	—
1043	C₂²	—	2	2	no	—
1044	C₂²	—	2	4	no	—
1045	C₂²	—	2	4	no	—
1046	C₂²	—	2	4	no	—
1047	C₂²	—	2	2	no	—
1048	C₂²	—	2	4	no	—
1049	C₂²	—	2	4	no	—
1050	C₂²	—	2	4	no	—
1051	C₂²	—	4	1	no	—
1052	C₂²	—	4	2	no	—
1053	C₂²	—	4	1	no	—
1054	C₂²	—	4	2	no	—
1055	C₂²	—	4	2	no	—
1056	C₂²	—	4	2	no	—
1057	C₂²	—	4	2	no	—
1058	C₂²	—	4	1	no	—
1059	C₂²	—	4	1	no	—
1060	C₂²	—	4	1	no	—
1061	C₂²	—	4	1	no	—
1062	C₂²	—	4	1	no	—
1063	C₂²	—	4	1	no	—
1064	C₂²	—	4	2	no	—
1065	C₂²	—	4	2	no	—
1066	C₂²	—	4	2	no	—
1067	C₂²	—	4	2	no	—
1068	C₂²	—	8	8	no	—
1069	C₂²	#525×C₁₃₉	1	4	yes	—
1070	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1071	C₂²	C₂²×#41×C₁₃₉	1	2	yes	—
1072	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1073	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1074	C₂²	#585×C₁₃₉	1	2	yes	—
1075	C₄	—	2	2	no	—
1076	C₄	—	2	2	no	—
1077	C₄	—	2	4	no	—
1078	C₄	—	2	2	no	—
1079	C₄	—	2	2	no	—
1080	C₄	—	2	2	no	—
1081	C₄	—	2	2	no	—
1082	C₄	—	4	1	no	—
1083	C₄	—	4	1	no	—
1084	C₄	—	4	2	no	—
1085	C₄	—	4	2	no	—
1086	C₄	—	4	1	no	—
1087	C₄	—	4	1	no	—
1088	C₄	—	4	1	no	—
1089	C₄	—	4	2	no	—
1090	C₄	—	4	2	no	—
1091	C₄	—	4	2	no	—
1092	C₄	—	4	2	no	—
1093	C₂	—	2	4	no	—
1094	C₂	—	4	2	no	—
1095	C₂	—	4	4	no	—
1096	C₂	—	8	1	no	—
1097	C₂	—	8	1	no	—
1098	C₂	C₂×#525×C₁₃₉	1	1	yes	characteristic
1099	C₂	#3488×C₁₃₉	1	1	yes	characteristic
1100	C₂	#3500×C₁₃₉	1	1	yes	characteristic
1101	C₂	#3513×C₁₃₉	1	2	yes	—
1102	C₂	#3521×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. #2637×C₁₃₉	C₂	semidirect
4. #2631×C₁₃₉	C₂	semidirect
5. #2623×C₁₃₉	C₂	semidirect
6. #2603×C₁₃₉	C₂	semidirect
7. #2599×C₁₃₉	C₂	semidirect
8. #2592×C₁₃₉	C₂	semidirect
9. #2535×C₁₃₉	C₂	semidirect
10. #2481×C₁₃₉	C₂	semidirect
11. #2477×C₁₃₉	C₂	semidirect
12. #2471×C₁₃₉	C₂	semidirect
13. #2450×C₁₃₉	C₂	semidirect
14. #2443×C₁₃₉	C₂	semidirect
15. #2430×C₁₃₉	C₂	semidirect
16. #2424×C₁₃₉	C₂	semidirect
17. #2404×C₁₃₉	C₂	semidirect
18. #2398×C₁₃₉	C₂	semidirect
19. #2392×C₁₃₉	C₂	semidirect
20. C₂×#397×C₁₃₉	C₂	semidirect
21. #2364×C₁₃₉	C₂	semidirect
22. #2358×C₁₃₉	C₂	semidirect
23. #2343×C₁₃₉	C₂	semidirect
39. C₂×C₄×Q₈×C₁₃₉	C₂²	semidirect
40. C₂×C₄×Q₈×C₁₃₉	C₂²	semidirect
46. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
47. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
50. C₂×#117×C₁₃₉	C₂²	semidirect
52. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
56. #400×C₁₃₉	C₂²	semidirect
57. #400×C₁₃₉	C₂²	semidirect
58. #399×C₁₃₉	C₂²	semidirect
59. #398×C₁₃₉	C₂²	semidirect
60. #398×C₁₃₉	C₂²	semidirect
61. #398×C₁₃₉	C₂²	semidirect
68. #397×C₁₃₉	C₂²	semidirect
69. #397×C₁₃₉	C₂²	semidirect
71. #396×C₁₃₉	C₂²	semidirect
72. #395×C₁₃₉	C₂²	semidirect
75. #394×C₁₃₉	C₂²	semidirect
78. #393×C₁₃₉	C₂²	semidirect
79. #393×C₁₃₉	C₂²	semidirect
83. #392×C₁₃₉	C₂²	semidirect
84. #391×C₁₃₉	C₂²	semidirect
90. #388×C₁₃₉	C₂²	semidirect
91. #388×C₁₃₉	C₂²	semidirect
92. #387×C₁₃₉	C₂²	semidirect
93. #387×C₁₃₉	C₂²	semidirect
94. #387×C₁₃₉	C₂²	semidirect
95. #387×C₁₃₉	C₂²	semidirect
96. #387×C₁₃₉	C₂²	semidirect
105. #386×C₁₃₉	C₂²	semidirect
106. #386×C₁₃₉	C₂²	semidirect
107. #386×C₁₃₉	C₂²	semidirect
111. #385×C₁₃₉	C₂²	semidirect
112. #385×C₁₃₉	C₂²	semidirect
113. #383×C₁₃₉	C₂²	semidirect
114. #382×C₁₃₉	C₂²	semidirect
116. #380×C₁₃₉	C₂²	semidirect
117. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
120. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
121. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
122. #376×C₁₃₉	C₂²	semidirect
171. #117×C₁₃₉	D₄	semidirect
551. #35979	C₁₃₉	direct (N × H)
552. C₁₃₉	#35979	direct (N × H)
553. C₂×#551	C₂×C₁₃₉	semidirect
554. C₂×#520	C₂×C₁₃₉	semidirect
555. #2637	C₂×C₁₃₉	semidirect
556. #2631	C₂×C₁₃₉	semidirect
557. #2623	C₂×C₁₃₉	semidirect
558. #2603	C₂×C₁₃₉	semidirect
559. #2599	C₂×C₁₃₉	semidirect
560. #2592	C₂×C₁₃₉	semidirect
561. #2535	C₂×C₁₃₉	semidirect
562. #2481	C₂×C₁₃₉	semidirect
563. #2477	C₂×C₁₃₉	semidirect
564. #2471	C₂×C₁₃₉	semidirect
565. #2450	C₂×C₁₃₉	semidirect
566. #2443	C₂×C₁₃₉	semidirect
567. #2430	C₂×C₁₃₉	semidirect
568. #2424	C₂×C₁₃₉	semidirect
569. #2404	C₂×C₁₃₉	semidirect
570. #2398	C₂×C₁₃₉	semidirect
571. #2392	C₂×C₁₃₉	semidirect
572. C₂×#397	C₂×C₁₃₉	semidirect
573. #2364	C₂×C₁₃₉	semidirect
574. #2358	C₂×C₁₃₉	semidirect
575. #2343	C₂×C₁₃₉	semidirect
591. C₂×C₄×Q₈	C₂²×C₁₃₉	semidirect
592. C₂×C₄×Q₈	C₂²×C₁₃₉	semidirect
598. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
599. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
602. C₂×#117	C₂²×C₁₃₉	semidirect
604. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
608. #400	C₂²×C₁₃₉	semidirect
609. #400	C₂²×C₁₃₉	semidirect
610. #399	C₂²×C₁₃₉	semidirect
611. #398	C₂²×C₁₃₉	semidirect
612. #398	C₂²×C₁₃₉	semidirect
613. #398	C₂²×C₁₃₉	semidirect
620. #397	C₂²×C₁₃₉	semidirect
621. #397	C₂²×C₁₃₉	semidirect
623. #396	C₂²×C₁₃₉	semidirect
624. #395	C₂²×C₁₃₉	semidirect
627. #394	C₂²×C₁₃₉	semidirect
630. #393	C₂²×C₁₃₉	semidirect
631. #393	C₂²×C₁₃₉	semidirect
635. #392	C₂²×C₁₃₉	semidirect
636. #391	C₂²×C₁₃₉	semidirect
642. #388	C₂²×C₁₃₉	semidirect
643. #388	C₂²×C₁₃₉	semidirect
644. #387	C₂²×C₁₃₉	semidirect
645. #387	C₂²×C₁₃₉	semidirect
646. #387	C₂²×C₁₃₉	semidirect
647. #387	C₂²×C₁₃₉	semidirect
648. #387	C₂²×C₁₃₉	semidirect
657. #386	C₂²×C₁₃₉	semidirect
658. #386	C₂²×C₁₃₉	semidirect
659. #386	C₂²×C₁₃₉	semidirect
663. #385	C₂²×C₁₃₉	semidirect
664. #385	C₂²×C₁₃₉	semidirect
665. #383	C₂²×C₁₃₉	semidirect
666. #382	C₂²×C₁₃₉	semidirect
668. #380	C₂²×C₁₃₉	semidirect
669. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
672. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
673. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
674. #376	C₂²×C₁₃₉	semidirect
723. #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
#2637×C₁₃₉	2
#2631×C₁₃₉	2
#2623×C₁₃₉	2
#2603×C₁₃₉	2
#2599×C₁₃₉	2
#2592×C₁₃₉	2
#2535×C₁₃₉	2
#2481×C₁₃₉	2
#2477×C₁₃₉	2
#2471×C₁₃₉	2
#2450×C₁₃₉	2
#2443×C₁₃₉	2
#2430×C₁₃₉	2
#2424×C₁₃₉	2
#2404×C₁₃₉	2
#2398×C₁₃₉	2
#2392×C₁₃₉	2
C₂×#397×C₁₃₉	2
#2364×C₁₃₉	2
#2358×C₁₃₉	2
#2343×C₁₃₉	2
#35979	139

Subgroups — C139×#35979 #48030575

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#35979 #48030575