Subgroups — C₁₃₉×#35703 #48030299

Order 35584.

2838 conjugacy classes of subgroups.

The subgroup lattice has 1178 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#548×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#518×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2638×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2631×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2617×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2610×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2599×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2561×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2543×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2477×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2472×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2463×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2459×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2444×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2410×C₁₃₉	C₂	1	2	yes	maximal, complemented
16	#2409×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2404×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2398×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2388×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#393×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	#2353×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
25	C₂³×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
26	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
27	#548×C₁₃₉	—	2	8	no	—
28	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
29	C₂×#124×C₁₃₉	C₂²	1	2	yes	complemented
30	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₂²⋊Q₈×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	1	yes	characteristic, complemented
36	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
37	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
38	#518×C₁₃₉	—	2	8	no	—
39	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
41	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	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	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
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	1	yes	characteristic
56	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
57	#400×C₁₃₉	C₂²	1	2	yes	complemented
58	#398×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
59	#397×C₁₃₉	C₂²	1	1	yes	characteristic
60	#397×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
61	#397×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
62	#397×C₁₃₉	C₂²	1	2	yes	complemented
63	#397×C₁₃₉	C₂²	1	2	yes	complemented
64	#395×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
65	#395×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
66	#394×C₁₃₉	C₂²	1	2	yes	—
67	#394×C₁₃₉	C₂²	1	2	yes	—
68	#394×C₁₃₉	C₂²	1	2	yes	—
69	#394×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
70	#394×C₁₃₉	C₂²	1	2	yes	complemented
71	#394×C₁₃₉	C₂²	1	2	yes	complemented
72	#393×C₁₃₉	C₂²	1	1	yes	characteristic
73	#393×C₁₃₉	C₂²	1	1	yes	characteristic
74	#393×C₁₃₉	C₂²	1	2	yes	—
75	#393×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
76	#393×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
77	#393×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
78	#393×C₁₃₉	C₂²	1	2	yes	complemented
79	#393×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
80	#392×C₁₃₉	C₂²	1	1	yes	characteristic
81	#392×C₁₃₉	C₂²	1	2	yes	—
82	#392×C₁₃₉	C₂²	1	2	yes	—
83	#392×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
84	#392×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
85	#391×C₁₃₉	C₂²	1	2	yes	complemented
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	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	#387×C₁₃₉	C₂²	1	2	yes	complemented
95	#387×C₁₃₉	C₂²	1	2	yes	complemented
96	#387×C₁₃₉	C₂²	1	2	yes	complemented
97	#387×C₁₃₉	C₂²	1	2	yes	complemented
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	complemented
103	#386×C₁₃₉	C₂²	1	2	yes	complemented
104	#386×C₁₃₉	C₂²	1	2	yes	complemented
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	#386×C₁₃₉	C₂²	1	2	yes	complemented
109	#385×C₁₃₉	C₂²	1	2	yes	—
110	#385×C₁₃₉	C₂²	1	2	yes	complemented
111	#385×C₁₃₉	C₂²	1	2	yes	complemented
112	#383×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
113	#381×C₁₃₉	C₂²	1	2	yes	complemented
114	#381×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
115	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
116	#379×C₁₃₉	C₂²	1	2	yes	—
117	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
118	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
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, complemented
124	C₂×#95×C₁₃₉	C₂²	1	2	yes	complemented
125	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
126	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
127	C₂×#41×C₁₃₉	—	2	4	no	—
128	C₂×#41×C₁₃₉	—	4	4	no	—
129	C₂²×Q₈×C₁₃₉	—	2	4	no	—
130	C₂²×Q₈×C₁₃₉	—	4	4	no	—
131	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
132	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
133	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
134	C₂²×D₄×C₁₃₉	—	2	4	no	—
135	C₂²×D₄×C₁₃₉	—	2	4	no	—
136	C₂²×D₄×C₁₃₉	—	2	4	no	—
137	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
139	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
140	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
142	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
143	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
144	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
145	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
146	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
149	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
150	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
151	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
155	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
156	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
157	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
158	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
159	#124×C₁₃₉	—	2	8	no	—
160	#124×C₁₃₉	—	2	4	no	—
161	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
162	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
163	C₂²⋊Q₈×C₁₃₉	—	4	4	no	—
164	#121×C₁₃₉	—	2	8	no	—
165	#121×C₁₃₉	—	2	8	no	—
166	#121×C₁₃₉	—	2	4	no	—
167	#120×C₁₃₉	—	2	8	no	—
168	#120×C₁₃₉	—	4	4	no	—
169	C₄×Q₈×C₁₃₉	—	2	4	no	—
170	C₄×D₄×C₁₃₉	—	2	4	no	—
171	C₄×D₄×C₁₃₉	—	2	4	no	—
172	C₄×D₄×C₁₃₉	—	2	4	no	—
173	C₄×D₄×C₁₃₉	—	2	4	no	—
174	C₄×D₄×C₁₃₉	—	2	4	no	—
175	C₄×D₄×C₁₃₉	—	2	4	no	—
176	C₄×D₄×C₁₃₉	—	2	8	no	—
177	C₄×D₄×C₁₃₉	—	2	4	no	—
178	C₄×D₄×C₁₃₉	—	4	4	no	—
179	C₄×D₄×C₁₃₉	D₄	1	8	yes	complemented
180	#117×C₁₃₉	—	2	4	no	—
181	#117×C₁₃₉	—	2	4	no	—
182	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
183	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
184	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
189	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
190	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
191	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
192	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
193	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
194	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
195	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
196	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
197	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
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	1	yes	characteristic
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	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	2	yes	—
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	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	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	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	1	yes	characteristic
230	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
232	C₂×C₄²×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	1	yes	characteristic
238	#95×C₁₃₉	C₂³	1	1	yes	characteristic
239	#95×C₁₃₉	C₂³	1	1	yes	characteristic
240	#95×C₁₃₉	C₂³	1	2	yes	—
241	#95×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
248	#95×C₁₃₉	C₂³	1	2	yes	—
249	#95×C₁₃₉	C₂³	1	2	yes	—
250	#95×C₁₃₉	C₂³	1	1	yes	characteristic
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	#95×C₁₃₉	C₂³	1	2	yes	—
256	#95×C₁₃₉	C₂³	1	2	yes	—
257	#95×C₁₃₉	C₂³	1	2	yes	—
258	#95×C₁₃₉	C₂³	1	2	yes	—
259	C₂⁴×C₁₃₉	—	2	2	no	—
260	C₂⁴×C₁₃₉	—	2	2	no	—
261	C₂⁴×C₁₃₉	—	2	2	no	—
262	C₂⁴×C₁₃₉	—	2	2	no	—
263	C₂⁴×C₁₃₉	—	2	2	no	—
264	C₂⁴×C₁₃₉	—	4	2	no	—
265	C₂⁴×C₁₃₉	—	4	2	no	—
266	C₂⁴×C₁₃₉	—	4	2	no	—
267	C₂⁴×C₁₃₉	—	4	2	no	—
268	C₂⁴×C₁₃₉	#41	1	4	yes	complemented
269	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
270	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
271	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
272	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
273	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
274	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
275	#41×C₁₃₉	—	4	16	no	—
276	C₂×Q₈×C₁₃₉	—	2	2	no	—
277	C₂×Q₈×C₁₃₉	—	2	4	no	—
278	C₂×Q₈×C₁₃₉	—	2	2	no	—
279	C₂×Q₈×C₁₃₉	—	2	4	no	—
280	C₂×Q₈×C₁₃₉	—	2	4	no	—
281	C₂×Q₈×C₁₃₉	—	4	2	no	—
282	C₂×Q₈×C₁₃₉	—	4	2	no	—
283	C₂×Q₈×C₁₃₉	—	4	16	no	—
284	C₂×D₄×C₁₃₉	—	2	32	no	—
285	C₂×D₄×C₁₃₉	—	2	2	no	—
286	C₂×D₄×C₁₃₉	—	2	2	no	—
287	C₂×D₄×C₁₃₉	—	2	2	no	—
288	C₂×D₄×C₁₃₉	—	2	2	no	—
289	C₂×D₄×C₁₃₉	—	2	2	no	—
290	C₂×D₄×C₁₃₉	—	2	2	no	—
291	C₂×D₄×C₁₃₉	—	2	2	no	—
292	C₂×D₄×C₁₃₉	—	2	2	no	—
293	C₂×D₄×C₁₃₉	—	2	4	no	—
294	C₂×D₄×C₁₃₉	—	2	4	no	—
295	C₂×D₄×C₁₃₉	—	2	4	no	—
296	C₂×D₄×C₁₃₉	—	2	4	no	—
297	C₂×D₄×C₁₃₉	—	2	4	no	—
298	C₂×D₄×C₁₃₉	—	2	4	no	—
299	C₂×D₄×C₁₃₉	—	2	4	no	—
300	C₂×D₄×C₁₃₉	—	2	2	no	—
301	C₂×D₄×C₁₃₉	—	2	2	no	—
302	C₂×D₄×C₁₃₉	—	2	2	no	—
303	C₂×D₄×C₁₃₉	—	2	4	no	—
304	C₂×D₄×C₁₃₉	—	4	2	no	—
305	C₂×D₄×C₁₃₉	—	4	2	no	—
306	C₂×D₄×C₁₃₉	—	4	2	no	—
307	C₂×D₄×C₁₃₉	—	4	2	no	—
308	C₂×D₄×C₁₃₉	—	4	2	no	—
309	C₂×D₄×C₁₃₉	—	4	2	no	—
310	C₂×D₄×C₁₃₉	—	4	2	no	—
311	C₂×D₄×C₁₃₉	—	4	2	no	—
312	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
313	C₂×D₄×C₁₃₉	#41	1	4	yes	complemented
314	C₂²×C₄×C₁₃₉	—	2	2	no	—
315	C₂²×C₄×C₁₃₉	—	2	2	no	—
316	C₂²×C₄×C₁₃₉	—	2	2	no	—
317	C₂²×C₄×C₁₃₉	—	2	4	no	—
318	C₂²×C₄×C₁₃₉	—	2	2	no	—
319	C₂²×C₄×C₁₃₉	—	2	2	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	2	no	—
325	C₂²×C₄×C₁₃₉	—	2	2	no	—
326	C₂²×C₄×C₁₃₉	—	2	2	no	—
327	C₂²×C₄×C₁₃₉	—	2	2	no	—
328	C₂²×C₄×C₁₃₉	—	4	2	no	—
329	C₂²×C₄×C₁₃₉	—	4	2	no	—
330	C₂²×C₄×C₁₃₉	—	4	2	no	—
331	C₂²×C₄×C₁₃₉	—	4	2	no	—
332	C₂²×C₄×C₁₃₉	—	4	2	no	—
333	C₂²×C₄×C₁₃₉	—	4	2	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	C₂×D₄	1	4	yes	—
341	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
342	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
343	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
344	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
345	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
346	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
348	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
350	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
351	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
354	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
357	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
359	C₄⋊C₄×C₁₃₉	—	2	2	no	—
360	C₄⋊C₄×C₁₃₉	—	2	2	no	—
361	C₄⋊C₄×C₁₃₉	—	2	2	no	—
362	C₄⋊C₄×C₁₃₉	—	2	4	no	—
363	C₄⋊C₄×C₁₃₉	—	2	4	no	—
364	C₄⋊C₄×C₁₃₉	—	2	2	no	—
365	C₄⋊C₄×C₁₃₉	—	2	4	no	—
366	C₄⋊C₄×C₁₃₉	—	2	4	no	—
367	C₄⋊C₄×C₁₃₉	—	4	2	no	—
368	C₄⋊C₄×C₁₃₉	—	4	2	no	—
369	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
370	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
371	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
372	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
373	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
374	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
375	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
376	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
377	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
378	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
379	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
380	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
381	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
382	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
383	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
384	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
385	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
386	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
387	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
388	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
389	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
390	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
391	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
392	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
393	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
394	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
395	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
396	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
397	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
398	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
399	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
400	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
401	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
402	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
403	C₄²×C₁₃₉	—	2	2	no	—
404	C₄²×C₁₃₉	—	2	2	no	—
405	C₄²×C₁₃₉	—	2	2	no	—
406	C₄²×C₁₃₉	—	2	4	no	—
407	C₄²×C₁₃₉	—	4	2	no	—
408	C₄²×C₁₃₉	—	4	2	no	—
409	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
410	C₂³×C₁₃₉	—	2	2	no	—
411	C₂³×C₁₃₉	—	2	2	no	—
412	C₂³×C₁₃₉	—	2	8	no	—
413	C₂³×C₁₃₉	—	2	1	no	—
414	C₂³×C₁₃₉	—	2	1	no	—
415	C₂³×C₁₃₉	—	2	1	no	—
416	C₂³×C₁₃₉	—	2	1	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	—	2	2	no	—
422	C₂³×C₁₃₉	—	2	2	no	—
423	C₂³×C₁₃₉	—	2	2	no	—
424	C₂³×C₁₃₉	—	2	2	no	—
425	C₂³×C₁₃₉	—	2	2	no	—
426	C₂³×C₁₃₉	—	2	2	no	—
427	C₂³×C₁₃₉	—	2	2	no	—
428	C₂³×C₁₃₉	—	2	2	no	—
429	C₂³×C₁₃₉	—	2	8	no	—
430	C₂³×C₁₃₉	—	2	2	no	—
431	C₂³×C₁₃₉	—	2	2	no	—
432	C₂³×C₁₃₉	—	2	2	no	—
433	C₂³×C₁₃₉	—	2	2	no	—
434	C₂³×C₁₃₉	—	2	2	no	—
435	C₂³×C₁₃₉	—	2	2	no	—
436	C₂³×C₁₃₉	—	2	2	no	—
437	C₂³×C₁₃₉	—	4	8	no	—
438	C₂³×C₁₃₉	—	8	2	no	—
439	C₂³×C₁₃₉	—	8	2	no	—
440	C₂³×C₁₃₉	—	8	4	no	—
441	C₂³×C₁₃₉	—	8	2	no	—
442	C₂³×C₁₃₉	—	8	2	no	—
443	C₂³×C₁₃₉	—	8	4	no	—
444	C₂³×C₁₃₉	—	8	4	no	—
445	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
446	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
447	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
448	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
449	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
450	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
451	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
452	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
453	Q₈×C₁₃₉	—	2	8	no	—
454	Q₈×C₁₃₉	—	4	8	no	—
455	Q₈×C₁₃₉	—	4	4	no	—
456	D₄×C₁₃₉	—	2	8	no	—
457	D₄×C₁₃₉	—	2	8	no	—
458	D₄×C₁₃₉	—	2	8	no	—
459	D₄×C₁₃₉	—	2	8	no	—
460	D₄×C₁₃₉	—	4	8	no	—
461	D₄×C₁₃₉	—	4	4	no	—
462	D₄×C₁₃₉	—	4	8	no	—
463	D₄×C₁₃₉	—	4	8	no	—
464	D₄×C₁₃₉	—	8	4	no	—
465	D₄×C₁₃₉	—	8	4	no	—
466	C₂×C₄×C₁₃₉	—	2	8	no	—
467	C₂×C₄×C₁₃₉	—	2	1	no	—
468	C₂×C₄×C₁₃₉	—	2	2	no	—
469	C₂×C₄×C₁₃₉	—	2	1	no	—
470	C₂×C₄×C₁₃₉	—	2	1	no	—
471	C₂×C₄×C₁₃₉	—	2	1	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	2	no	—
477	C₂×C₄×C₁₃₉	—	2	1	no	—
478	C₂×C₄×C₁₃₉	—	2	1	no	—
479	C₂×C₄×C₁₃₉	—	2	1	no	—
480	C₂×C₄×C₁₃₉	—	2	1	no	—
481	C₂×C₄×C₁₃₉	—	2	2	no	—
482	C₂×C₄×C₁₃₉	—	2	2	no	—
483	C₂×C₄×C₁₃₉	—	2	2	no	—
484	C₂×C₄×C₁₃₉	—	2	2	no	—
485	C₂×C₄×C₁₃₉	—	2	2	no	—
486	C₂×C₄×C₁₃₉	—	2	2	no	—
487	C₂×C₄×C₁₃₉	—	2	2	no	—
488	C₂×C₄×C₁₃₉	—	2	2	no	—
489	C₂×C₄×C₁₃₉	—	2	2	no	—
490	C₂×C₄×C₁₃₉	—	2	2	no	—
491	C₂×C₄×C₁₃₉	—	2	2	no	—
492	C₂×C₄×C₁₃₉	—	2	2	no	—
493	C₂×C₄×C₁₃₉	—	2	2	no	—
494	C₂×C₄×C₁₃₉	—	2	2	no	—
495	C₂×C₄×C₁₃₉	—	2	2	no	—
496	C₂×C₄×C₁₃₉	—	2	2	no	—
497	C₂×C₄×C₁₃₉	—	2	2	no	—
498	C₂×C₄×C₁₃₉	—	2	2	no	—
499	C₂×C₄×C₁₃₉	—	2	2	no	—
500	C₂×C₄×C₁₃₉	—	2	2	no	—
501	C₂×C₄×C₁₃₉	—	2	2	no	—
502	C₂×C₄×C₁₃₉	—	2	2	no	—
503	C₂×C₄×C₁₃₉	—	4	4	no	—
504	C₂×C₄×C₁₃₉	—	4	4	no	—
505	C₂×C₄×C₁₃₉	—	4	8	no	—
506	C₂×C₄×C₁₃₉	—	4	8	no	—
507	C₂×C₄×C₁₃₉	—	8	2	no	—
508	C₂×C₄×C₁₃₉	—	8	2	no	—
509	C₂×C₄×C₁₃₉	—	8	2	no	—
510	C₂×C₄×C₁₃₉	—	8	2	no	—
511	C₂×C₄×C₁₃₉	—	8	2	no	—
512	C₂×C₄×C₁₃₉	—	8	2	no	—
513	C₂×C₄×C₁₃₉	—	8	4	no	—
514	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
515	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
516	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
517	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
518	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
519	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
520	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	4	yes	—
521	C₂²×C₁₃₉	—	2	2	no	—
522	C₂²×C₁₃₉	—	2	2	no	—
523	C₂²×C₁₃₉	—	2	4	no	—
524	C₂²×C₁₃₉	—	2	4	no	—
525	C₂²×C₁₃₉	—	2	2	no	—
526	C₂²×C₁₃₉	—	2	2	no	—
527	C₂²×C₁₃₉	—	2	2	no	—
528	C₂²×C₁₃₉	—	2	2	no	—
529	C₂²×C₁₃₉	—	2	2	no	—
530	C₂²×C₁₃₉	—	2	2	no	—
531	C₂²×C₁₃₉	—	2	4	no	—
532	C₂²×C₁₃₉	—	2	4	no	—
533	C₂²×C₁₃₉	—	2	4	no	—
534	C₂²×C₁₃₉	—	4	1	no	—
535	C₂²×C₁₃₉	—	4	1	no	—
536	C₂²×C₁₃₉	—	4	1	no	—
537	C₂²×C₁₃₉	—	4	1	no	—
538	C₂²×C₁₃₉	—	4	1	no	—
539	C₂²×C₁₃₉	—	4	1	no	—
540	C₂²×C₁₃₉	—	4	2	no	—
541	C₂²×C₁₃₉	—	4	2	no	—
542	C₂²×C₁₃₉	—	4	2	no	—
543	C₂²×C₁₃₉	—	4	2	no	—
544	C₂²×C₁₃₉	—	4	2	no	—
545	C₂²×C₁₃₉	—	4	2	no	—
546	C₂²×C₁₃₉	—	4	2	no	—
547	C₂²×C₁₃₉	—	4	2	no	—
548	C₂²×C₁₃₉	—	4	2	no	—
549	C₂²×C₁₃₉	—	4	2	no	—
550	C₂²×C₁₃₉	—	4	2	no	—
551	C₂²×C₁₃₉	—	4	2	no	—
552	C₂²×C₁₃₉	—	8	8	no	—
553	C₂²×C₁₃₉	—	8	8	no	—
554	C₂²×C₁₃₉	#525	1	4	yes	—
555	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
556	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
557	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
558	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	2	yes	—
559	C₂²×C₁₃₉	#585	1	2	yes	—
560	C₄×C₁₃₉	—	2	2	no	—
561	C₄×C₁₃₉	—	2	2	no	—
562	C₄×C₁₃₉	—	2	2	no	—
563	C₄×C₁₃₉	—	2	2	no	—
564	C₄×C₁₃₉	—	2	4	no	—
565	C₄×C₁₃₉	—	2	2	no	—
566	C₄×C₁₃₉	—	2	2	no	—
567	C₄×C₁₃₉	—	4	2	no	—
568	C₄×C₁₃₉	—	4	2	no	—
569	C₄×C₁₃₉	—	4	1	no	—
570	C₄×C₁₃₉	—	4	1	no	—
571	C₄×C₁₃₉	—	4	1	no	—
572	C₄×C₁₃₉	—	4	1	no	—
573	C₄×C₁₃₉	—	4	2	no	—
574	C₄×C₁₃₉	—	4	2	no	—
575	C₄×C₁₃₉	—	4	2	no	—
576	C₄×C₁₃₉	—	4	2	no	—
577	C₂×C₁₃₉	—	2	4	no	—
578	C₂×C₁₃₉	—	4	2	no	—
579	C₂×C₁₃₉	—	4	2	no	—
580	C₂×C₁₃₉	—	4	2	no	—
581	C₂×C₁₃₉	—	4	2	no	—
582	C₂×C₁₃₉	—	8	2	no	—
583	C₂×C₁₃₉	C₂×#525	1	1	yes	characteristic
584	C₂×C₁₃₉	#3484	1	1	yes	characteristic
585	C₂×C₁₃₉	#3500	1	1	yes	characteristic
586	C₂×C₁₃₉	#3505	1	2	yes	—
587	C₂×C₁₃₉	#3514	1	2	yes	—
588	#35703	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
589	C₁₃₉	#35703	1	1	yes	characteristic, direct product factor, Sylow
590	C₂×#548	C₂×C₁₃₉	1	1	yes	characteristic, complemented
591	C₂×#518	C₂×C₁₃₉	1	1	yes	characteristic, complemented
592	#2638	C₂×C₁₃₉	1	1	yes	characteristic, complemented
593	#2631	C₂×C₁₃₉	1	1	yes	characteristic, complemented
594	#2617	C₂×C₁₃₉	1	1	yes	characteristic, complemented
595	#2610	C₂×C₁₃₉	1	1	yes	characteristic, complemented
596	#2599	C₂×C₁₃₉	1	1	yes	characteristic, complemented
597	#2561	C₂×C₁₃₉	1	1	yes	characteristic, complemented
598	#2543	C₂×C₁₃₉	1	1	yes	characteristic, complemented
599	#2477	C₂×C₁₃₉	1	2	yes	complemented
600	#2472	C₂×C₁₃₉	1	2	yes	complemented
601	#2463	C₂×C₁₃₉	1	2	yes	complemented
602	#2459	C₂×C₁₃₉	1	2	yes	complemented
603	#2444	C₂×C₁₃₉	1	2	yes	complemented
604	#2410	C₂×C₁₃₉	1	2	yes	complemented
605	#2409	C₂×C₁₃₉	1	1	yes	characteristic, complemented
606	#2404	C₂×C₁₃₉	1	1	yes	characteristic, complemented
607	#2398	C₂×C₁₃₉	1	1	yes	characteristic, complemented
608	#2388	C₂×C₁₃₉	1	1	yes	characteristic, complemented
609	C₂×#393	C₂×C₁₃₉	1	1	yes	characteristic, complemented
610	#2364	C₂×C₁₃₉	1	2	yes	complemented
611	#2358	C₂×C₁₃₉	1	2	yes	complemented
612	#2353	C₂×C₁₃₉	1	1	yes	characteristic, complemented
613	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
614	C₂³×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
615	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
616	#548	—	2	8	no	—
617	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
618	C₂×#124	C₂²×C₁₃₉	1	2	yes	complemented
619	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
620	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	complemented
621	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	complemented
622	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
623	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
624	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
625	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
626	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
627	#518	—	2	8	no	—
628	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
629	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
630	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
631	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
632	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
633	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
634	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
635	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
636	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
637	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
638	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
639	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
640	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
641	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
642	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
643	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
644	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
645	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
646	#400	C₂²×C₁₃₉	1	2	yes	complemented
647	#398	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
648	#397	C₂²×C₁₃₉	1	1	yes	characteristic
649	#397	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
650	#397	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
651	#397	C₂²×C₁₃₉	1	2	yes	complemented
652	#397	C₂²×C₁₃₉	1	2	yes	complemented
653	#395	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
654	#395	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
655	#394	C₂²×C₁₃₉	1	2	yes	—
656	#394	C₂²×C₁₃₉	1	2	yes	—
657	#394	C₂²×C₁₃₉	1	2	yes	—
658	#394	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
659	#394	C₂²×C₁₃₉	1	2	yes	complemented
660	#394	C₂²×C₁₃₉	1	2	yes	complemented
661	#393	C₂²×C₁₃₉	1	1	yes	characteristic
662	#393	C₂²×C₁₃₉	1	1	yes	characteristic
663	#393	C₂²×C₁₃₉	1	2	yes	—
664	#393	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
665	#393	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
666	#393	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
667	#393	C₂²×C₁₃₉	1	2	yes	complemented
668	#393	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
669	#392	C₂²×C₁₃₉	1	1	yes	characteristic
670	#392	C₂²×C₁₃₉	1	2	yes	—
671	#392	C₂²×C₁₃₉	1	2	yes	—
672	#392	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
673	#392	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
674	#391	C₂²×C₁₃₉	1	2	yes	complemented
675	#390	C₂²×C₁₃₉	1	2	yes	—
676	#388	C₂²×C₁₃₉	1	2	yes	—
677	#388	C₂²×C₁₃₉	1	2	yes	—
678	#388	C₂²×C₁₃₉	1	2	yes	complemented
679	#388	C₂²×C₁₃₉	1	2	yes	complemented
680	#388	C₂²×C₁₃₉	1	2	yes	complemented
681	#388	C₂²×C₁₃₉	1	2	yes	complemented
682	#388	C₂²×C₁₃₉	1	2	yes	complemented
683	#387	C₂²×C₁₃₉	1	2	yes	complemented
684	#387	C₂²×C₁₃₉	1	2	yes	complemented
685	#387	C₂²×C₁₃₉	1	2	yes	complemented
686	#387	C₂²×C₁₃₉	1	2	yes	complemented
687	#386	C₂²×C₁₃₉	1	2	yes	—
688	#386	C₂²×C₁₃₉	1	2	yes	—
689	#386	C₂²×C₁₃₉	1	2	yes	—
690	#386	C₂²×C₁₃₉	1	2	yes	—
691	#386	C₂²×C₁₃₉	1	2	yes	complemented
692	#386	C₂²×C₁₃₉	1	2	yes	complemented
693	#386	C₂²×C₁₃₉	1	2	yes	complemented
694	#386	C₂²×C₁₃₉	1	2	yes	complemented
695	#386	C₂²×C₁₃₉	1	2	yes	complemented
696	#386	C₂²×C₁₃₉	1	2	yes	complemented
697	#386	C₂²×C₁₃₉	1	2	yes	complemented
698	#385	C₂²×C₁₃₉	1	2	yes	—
699	#385	C₂²×C₁₃₉	1	2	yes	complemented
700	#385	C₂²×C₁₃₉	1	2	yes	complemented
701	#383	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
702	#381	C₂²×C₁₃₉	1	2	yes	complemented
703	#381	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
704	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
705	#379	C₂²×C₁₃₉	1	2	yes	—
706	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
707	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
708	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
709	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
710	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
711	#376	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
712	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
713	C₂×#95	C₂²×C₁₃₉	1	2	yes	complemented
714	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
715	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
716	C₂×#41	—	2	4	no	—
717	C₂×#41	—	4	4	no	—
718	C₂²×Q₈	—	2	4	no	—
719	C₂²×Q₈	—	4	4	no	—
720	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
721	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
722	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
723	C₂²×D₄	—	2	4	no	—
724	C₂²×D₄	—	2	4	no	—
725	C₂²×D₄	—	2	4	no	—
726	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
727	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
728	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
729	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
730	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
731	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
732	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
733	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
734	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
735	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
736	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
737	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
738	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
739	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
740	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
741	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
742	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
743	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
744	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
745	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
746	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
747	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
748	#124	—	2	8	no	—
749	#124	—	2	4	no	—
750	C₂²⋊Q₈	—	2	4	no	—
751	C₂²⋊Q₈	—	2	8	no	—
752	C₂²⋊Q₈	—	4	4	no	—
753	#121	—	2	8	no	—
754	#121	—	2	8	no	—
755	#121	—	2	4	no	—
756	#120	—	2	8	no	—
757	#120	—	4	4	no	—
758	C₄×Q₈	—	2	4	no	—
759	C₄×D₄	—	2	4	no	—
760	C₄×D₄	—	2	4	no	—
761	C₄×D₄	—	2	4	no	—
762	C₄×D₄	—	2	4	no	—
763	C₄×D₄	—	2	4	no	—
764	C₄×D₄	—	2	4	no	—
765	C₄×D₄	—	2	8	no	—
766	C₄×D₄	—	2	4	no	—
767	C₄×D₄	—	4	4	no	—
768	C₄×D₄	D₄×C₁₃₉	1	8	yes	complemented
769	#117	—	2	4	no	—
770	#117	—	2	4	no	—
771	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
772	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
773	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
774	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
775	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
776	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
777	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
778	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
779	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
780	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
781	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
782	C₂×C₂²⋊C₄	—	2	4	no	—
783	C₂×C₂²⋊C₄	—	2	4	no	—
784	C₂×C₂²⋊C₄	—	2	4	no	—
785	C₂×C₂²⋊C₄	—	2	4	no	—
786	C₂×C₂²⋊C₄	—	4	4	no	—
787	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
788	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
789	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
790	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
791	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
792	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
793	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
794	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
795	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
796	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
797	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
798	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
799	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
800	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
801	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
802	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
803	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
804	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
805	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
806	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
807	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
808	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
809	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
810	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
811	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
812	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
813	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
814	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
815	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
816	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
817	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
818	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
819	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
820	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
821	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
822	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
823	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
824	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
825	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
826	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
827	#95	C₂³×C₁₃₉	1	1	yes	characteristic
828	#95	C₂³×C₁₃₉	1	2	yes	—
829	#95	C₂³×C₁₃₉	1	1	yes	characteristic
830	#95	C₂³×C₁₃₉	1	2	yes	—
831	#95	C₂³×C₁₃₉	1	2	yes	—
832	#95	C₂³×C₁₃₉	1	2	yes	—
833	#95	C₂³×C₁₃₉	1	2	yes	—
834	#95	C₂³×C₁₃₉	1	1	yes	characteristic
835	#95	C₂³×C₁₃₉	1	2	yes	—
836	#95	C₂³×C₁₃₉	1	1	yes	characteristic
837	#95	C₂³×C₁₃₉	1	2	yes	—
838	#95	C₂³×C₁₃₉	1	2	yes	—
839	#95	C₂³×C₁₃₉	1	2	yes	—
840	#95	C₂³×C₁₃₉	1	2	yes	—
841	#95	C₂³×C₁₃₉	1	2	yes	—
842	#95	C₂³×C₁₃₉	1	2	yes	—
843	#95	C₂³×C₁₃₉	1	2	yes	—
844	#95	C₂³×C₁₃₉	1	2	yes	—
845	#95	C₂³×C₁₃₉	1	2	yes	—
846	#95	C₂³×C₁₃₉	1	2	yes	—
847	#95	C₂³×C₁₃₉	1	2	yes	—
848	C₂⁴	—	2	2	no	—
849	C₂⁴	—	2	2	no	—
850	C₂⁴	—	2	2	no	—
851	C₂⁴	—	2	2	no	—
852	C₂⁴	—	2	2	no	—
853	C₂⁴	—	4	2	no	—
854	C₂⁴	—	4	2	no	—
855	C₂⁴	—	4	2	no	—
856	C₂⁴	—	4	2	no	—
857	C₂⁴	#41×C₁₃₉	1	4	yes	complemented
858	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
859	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
860	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
861	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
862	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
863	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
864	#41	—	4	16	no	—
865	C₂×Q₈	—	2	2	no	—
866	C₂×Q₈	—	2	4	no	—
867	C₂×Q₈	—	2	2	no	—
868	C₂×Q₈	—	2	4	no	—
869	C₂×Q₈	—	2	4	no	—
870	C₂×Q₈	—	4	2	no	—
871	C₂×Q₈	—	4	2	no	—
872	C₂×Q₈	—	4	16	no	—
873	C₂×D₄	—	2	32	no	—
874	C₂×D₄	—	2	2	no	—
875	C₂×D₄	—	2	2	no	—
876	C₂×D₄	—	2	2	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	2	2	no	—
879	C₂×D₄	—	2	2	no	—
880	C₂×D₄	—	2	2	no	—
881	C₂×D₄	—	2	2	no	—
882	C₂×D₄	—	2	4	no	—
883	C₂×D₄	—	2	4	no	—
884	C₂×D₄	—	2	4	no	—
885	C₂×D₄	—	2	4	no	—
886	C₂×D₄	—	2	4	no	—
887	C₂×D₄	—	2	4	no	—
888	C₂×D₄	—	2	4	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	2	no	—
892	C₂×D₄	—	2	4	no	—
893	C₂×D₄	—	4	2	no	—
894	C₂×D₄	—	4	2	no	—
895	C₂×D₄	—	4	2	no	—
896	C₂×D₄	—	4	2	no	—
897	C₂×D₄	—	4	2	no	—
898	C₂×D₄	—	4	2	no	—
899	C₂×D₄	—	4	2	no	—
900	C₂×D₄	—	4	2	no	—
901	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
902	C₂×D₄	#41×C₁₃₉	1	4	yes	complemented
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	4	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	4	no	—
910	C₂²×C₄	—	2	4	no	—
911	C₂²×C₄	—	2	4	no	—
912	C₂²×C₄	—	2	4	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	2	no	—
916	C₂²×C₄	—	2	2	no	—
917	C₂²×C₄	—	4	2	no	—
918	C₂²×C₄	—	4	2	no	—
919	C₂²×C₄	—	4	2	no	—
920	C₂²×C₄	—	4	2	no	—
921	C₂²×C₄	—	4	2	no	—
922	C₂²×C₄	—	4	2	no	—
923	C₂²×C₄	—	4	2	no	—
924	C₂²×C₄	—	4	2	no	—
925	C₂²×C₄	—	4	2	no	—
926	C₂²×C₄	—	4	2	no	—
927	C₂²×C₄	—	4	2	no	—
928	C₂²×C₄	—	4	2	no	—
929	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
930	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
931	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
932	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
933	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
934	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
935	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
936	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
937	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
938	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
939	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
940	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
941	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
942	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
943	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
944	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
945	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
946	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
947	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	4	no	—
952	C₄⋊C₄	—	2	4	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	4	no	—
955	C₄⋊C₄	—	2	4	no	—
956	C₄⋊C₄	—	4	2	no	—
957	C₄⋊C₄	—	4	2	no	—
958	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
959	C₂²⋊C₄	—	2	2	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	4	no	—
962	C₂²⋊C₄	—	2	4	no	—
963	C₂²⋊C₄	—	2	4	no	—
964	C₂²⋊C₄	—	2	4	no	—
965	C₂²⋊C₄	—	2	4	no	—
966	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	4	no	—
975	C₂²⋊C₄	—	2	4	no	—
976	C₂²⋊C₄	—	2	4	no	—
977	C₂²⋊C₄	—	2	4	no	—
978	C₂²⋊C₄	—	2	4	no	—
979	C₂²⋊C₄	—	2	4	no	—
980	C₂²⋊C₄	—	2	4	no	—
981	C₂²⋊C₄	—	4	2	no	—
982	C₂²⋊C₄	—	4	2	no	—
983	C₂²⋊C₄	—	4	2	no	—
984	C₂²⋊C₄	—	4	2	no	—
985	C₂²⋊C₄	—	4	2	no	—
986	C₂²⋊C₄	—	4	2	no	—
987	C₂²⋊C₄	—	4	2	no	—
988	C₂²⋊C₄	—	4	2	no	—
989	C₂²⋊C₄	—	4	2	no	—
990	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
991	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
992	C₄²	—	2	2	no	—
993	C₄²	—	2	2	no	—
994	C₄²	—	2	2	no	—
995	C₄²	—	2	4	no	—
996	C₄²	—	4	2	no	—
997	C₄²	—	4	2	no	—
998	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
999	C₂³	—	2	2	no	—
1000	C₂³	—	2	2	no	—
1001	C₂³	—	2	8	no	—
1002	C₂³	—	2	1	no	—
1003	C₂³	—	2	1	no	—
1004	C₂³	—	2	1	no	—
1005	C₂³	—	2	1	no	—
1006	C₂³	—	2	1	no	—
1007	C₂³	—	2	1	no	—
1008	C₂³	—	2	1	no	—
1009	C₂³	—	2	1	no	—
1010	C₂³	—	2	2	no	—
1011	C₂³	—	2	2	no	—
1012	C₂³	—	2	2	no	—
1013	C₂³	—	2	2	no	—
1014	C₂³	—	2	2	no	—
1015	C₂³	—	2	2	no	—
1016	C₂³	—	2	2	no	—
1017	C₂³	—	2	2	no	—
1018	C₂³	—	2	8	no	—
1019	C₂³	—	2	2	no	—
1020	C₂³	—	2	2	no	—
1021	C₂³	—	2	2	no	—
1022	C₂³	—	2	2	no	—
1023	C₂³	—	2	2	no	—
1024	C₂³	—	2	2	no	—
1025	C₂³	—	2	2	no	—
1026	C₂³	—	4	8	no	—
1027	C₂³	—	8	2	no	—
1028	C₂³	—	8	2	no	—
1029	C₂³	—	8	4	no	—
1030	C₂³	—	8	2	no	—
1031	C₂³	—	8	2	no	—
1032	C₂³	—	8	4	no	—
1033	C₂³	—	8	4	no	—
1034	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1035	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1036	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1037	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1038	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1039	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1040	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1041	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1042	Q₈	—	2	8	no	—
1043	Q₈	—	4	8	no	—
1044	Q₈	—	4	4	no	—
1045	D₄	—	2	8	no	—
1046	D₄	—	2	8	no	—
1047	D₄	—	2	8	no	—
1048	D₄	—	2	8	no	—
1049	D₄	—	4	8	no	—
1050	D₄	—	4	4	no	—
1051	D₄	—	4	8	no	—
1052	D₄	—	4	8	no	—
1053	D₄	—	8	4	no	—
1054	D₄	—	8	4	no	—
1055	C₂×C₄	—	2	8	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	2	2	no	—
1085	C₂×C₄	—	2	2	no	—
1086	C₂×C₄	—	2	2	no	—
1087	C₂×C₄	—	2	2	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	2	2	no	—
1090	C₂×C₄	—	2	2	no	—
1091	C₂×C₄	—	2	2	no	—
1092	C₂×C₄	—	4	4	no	—
1093	C₂×C₄	—	4	4	no	—
1094	C₂×C₄	—	4	8	no	—
1095	C₂×C₄	—	4	8	no	—
1096	C₂×C₄	—	8	2	no	—
1097	C₂×C₄	—	8	2	no	—
1098	C₂×C₄	—	8	2	no	—
1099	C₂×C₄	—	8	2	no	—
1100	C₂×C₄	—	8	2	no	—
1101	C₂×C₄	—	8	2	no	—
1102	C₂×C₄	—	8	4	no	—
1103	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1104	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1105	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1106	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1107	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1108	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1109	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	4	yes	—
1110	C₂²	—	2	2	no	—
1111	C₂²	—	2	2	no	—
1112	C₂²	—	2	4	no	—
1113	C₂²	—	2	4	no	—
1114	C₂²	—	2	2	no	—
1115	C₂²	—	2	2	no	—
1116	C₂²	—	2	2	no	—
1117	C₂²	—	2	2	no	—
1118	C₂²	—	2	2	no	—
1119	C₂²	—	2	2	no	—
1120	C₂²	—	2	4	no	—
1121	C₂²	—	2	4	no	—
1122	C₂²	—	2	4	no	—
1123	C₂²	—	4	1	no	—
1124	C₂²	—	4	1	no	—
1125	C₂²	—	4	1	no	—
1126	C₂²	—	4	1	no	—
1127	C₂²	—	4	1	no	—
1128	C₂²	—	4	1	no	—
1129	C₂²	—	4	2	no	—
1130	C₂²	—	4	2	no	—
1131	C₂²	—	4	2	no	—
1132	C₂²	—	4	2	no	—
1133	C₂²	—	4	2	no	—
1134	C₂²	—	4	2	no	—
1135	C₂²	—	4	2	no	—
1136	C₂²	—	4	2	no	—
1137	C₂²	—	4	2	no	—
1138	C₂²	—	4	2	no	—
1139	C₂²	—	4	2	no	—
1140	C₂²	—	4	2	no	—
1141	C₂²	—	8	8	no	—
1142	C₂²	—	8	8	no	—
1143	C₂²	#525×C₁₃₉	1	4	yes	—
1144	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1145	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1146	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1147	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1148	C₂²	#585×C₁₃₉	1	2	yes	—
1149	C₄	—	2	2	no	—
1150	C₄	—	2	2	no	—
1151	C₄	—	2	2	no	—
1152	C₄	—	2	2	no	—
1153	C₄	—	2	4	no	—
1154	C₄	—	2	2	no	—
1155	C₄	—	2	2	no	—
1156	C₄	—	4	2	no	—
1157	C₄	—	4	2	no	—
1158	C₄	—	4	1	no	—
1159	C₄	—	4	1	no	—
1160	C₄	—	4	1	no	—
1161	C₄	—	4	1	no	—
1162	C₄	—	4	2	no	—
1163	C₄	—	4	2	no	—
1164	C₄	—	4	2	no	—
1165	C₄	—	4	2	no	—
1166	C₂	—	2	4	no	—
1167	C₂	—	4	2	no	—
1168	C₂	—	4	2	no	—
1169	C₂	—	4	2	no	—
1170	C₂	—	4	2	no	—
1171	C₂	—	8	2	no	—
1172	C₂	C₂×#525×C₁₃₉	1	1	yes	characteristic
1173	C₂	#3484×C₁₃₉	1	1	yes	characteristic
1174	C₂	#3500×C₁₃₉	1	1	yes	characteristic
1175	C₂	#3505×C₁₃₉	1	2	yes	—
1176	C₂	#3514×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×#548×C₁₃₉	C₂	semidirect
2. C₂×#518×C₁₃₉	C₂	semidirect
3. #2638×C₁₃₉	C₂	semidirect
4. #2631×C₁₃₉	C₂	semidirect
5. #2617×C₁₃₉	C₂	semidirect
6. #2610×C₁₃₉	C₂	semidirect
7. #2599×C₁₃₉	C₂	semidirect
8. #2561×C₁₃₉	C₂	semidirect
9. #2543×C₁₃₉	C₂	semidirect
10. #2477×C₁₃₉	C₂	semidirect
11. #2472×C₁₃₉	C₂	semidirect
12. #2463×C₁₃₉	C₂	semidirect
13. #2459×C₁₃₉	C₂	semidirect
14. #2444×C₁₃₉	C₂	semidirect
15. #2410×C₁₃₉	C₂	semidirect
16. #2409×C₁₃₉	C₂	semidirect
17. #2404×C₁₃₉	C₂	semidirect
18. #2398×C₁₃₉	C₂	semidirect
19. #2388×C₁₃₉	C₂	semidirect
20. C₂×#393×C₁₃₉	C₂	semidirect
21. #2364×C₁₃₉	C₂	semidirect
22. #2358×C₁₃₉	C₂	semidirect
23. #2353×C₁₃₉	C₂	semidirect
24. C₂²×#41×C₁₃₉	C₂²	semidirect
25. C₂³×Q₈×C₁₃₉	C₂²	semidirect
28. C₂×#124×C₁₃₉	C₂²	semidirect
29. C₂×#124×C₁₃₉	C₂²	semidirect
30. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
31. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
32. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
35. C₂×#121×C₁₃₉	C₂²	semidirect
39. C₂×C₄×Q₈×C₁₃₉	C₂²	semidirect
48. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
49. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
57. #400×C₁₃₉	C₂²	semidirect
58. #398×C₁₃₉	C₂²	semidirect
60. #397×C₁₃₉	C₂²	semidirect
61. #397×C₁₃₉	C₂²	semidirect
62. #397×C₁₃₉	C₂²	semidirect
63. #397×C₁₃₉	C₂²	semidirect
64. #395×C₁₃₉	C₂²	semidirect
65. #395×C₁₃₉	C₂²	semidirect
69. #394×C₁₃₉	C₂²	semidirect
70. #394×C₁₃₉	C₂²	semidirect
71. #394×C₁₃₉	C₂²	semidirect
75. #393×C₁₃₉	C₂²	semidirect
76. #393×C₁₃₉	C₂²	semidirect
77. #393×C₁₃₉	C₂²	semidirect
78. #393×C₁₃₉	C₂²	semidirect
79. #393×C₁₃₉	C₂²	semidirect
83. #392×C₁₃₉	C₂²	semidirect
84. #392×C₁₃₉	C₂²	semidirect
85. #391×C₁₃₉	C₂²	semidirect
89. #388×C₁₃₉	C₂²	semidirect
90. #388×C₁₃₉	C₂²	semidirect
91. #388×C₁₃₉	C₂²	semidirect
92. #388×C₁₃₉	C₂²	semidirect
93. #388×C₁₃₉	C₂²	semidirect
94. #387×C₁₃₉	C₂²	semidirect
95. #387×C₁₃₉	C₂²	semidirect
96. #387×C₁₃₉	C₂²	semidirect
97. #387×C₁₃₉	C₂²	semidirect
102. #386×C₁₃₉	C₂²	semidirect
103. #386×C₁₃₉	C₂²	semidirect
104. #386×C₁₃₉	C₂²	semidirect
105. #386×C₁₃₉	C₂²	semidirect
106. #386×C₁₃₉	C₂²	semidirect
107. #386×C₁₃₉	C₂²	semidirect
108. #386×C₁₃₉	C₂²	semidirect
110. #385×C₁₃₉	C₂²	semidirect
111. #385×C₁₃₉	C₂²	semidirect
112. #383×C₁₃₉	C₂²	semidirect
113. #381×C₁₃₉	C₂²	semidirect
114. #381×C₁₃₉	C₂²	semidirect
115. #380×C₁₃₉	C₂²	semidirect
117. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
118. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
119. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
120. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
121. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
122. #376×C₁₃₉	C₂²	semidirect
123. C₂×#95×C₁₃₉	C₂²	semidirect
124. C₂×#95×C₁₃₉	C₂²	semidirect
179. C₄×D₄×C₁₃₉	D₄	semidirect
268. C₂⁴×C₁₃₉	#41	semidirect
313. C₂×D₄×C₁₃₉	#41	semidirect
588. #35703	C₁₃₉	direct (N × H)
589. C₁₃₉	#35703	direct (N × H)
590. C₂×#548	C₂×C₁₃₉	semidirect
591. C₂×#518	C₂×C₁₃₉	semidirect
592. #2638	C₂×C₁₃₉	semidirect
593. #2631	C₂×C₁₃₉	semidirect
594. #2617	C₂×C₁₃₉	semidirect
595. #2610	C₂×C₁₃₉	semidirect
596. #2599	C₂×C₁₃₉	semidirect
597. #2561	C₂×C₁₃₉	semidirect
598. #2543	C₂×C₁₃₉	semidirect
599. #2477	C₂×C₁₃₉	semidirect
600. #2472	C₂×C₁₃₉	semidirect
601. #2463	C₂×C₁₃₉	semidirect
602. #2459	C₂×C₁₃₉	semidirect
603. #2444	C₂×C₁₃₉	semidirect
604. #2410	C₂×C₁₃₉	semidirect
605. #2409	C₂×C₁₃₉	semidirect
606. #2404	C₂×C₁₃₉	semidirect
607. #2398	C₂×C₁₃₉	semidirect
608. #2388	C₂×C₁₃₉	semidirect
609. C₂×#393	C₂×C₁₃₉	semidirect
610. #2364	C₂×C₁₃₉	semidirect
611. #2358	C₂×C₁₃₉	semidirect
612. #2353	C₂×C₁₃₉	semidirect
613. C₂²×#41	C₂²×C₁₃₉	semidirect
614. C₂³×Q₈	C₂²×C₁₃₉	semidirect
617. C₂×#124	C₂²×C₁₃₉	semidirect
618. C₂×#124	C₂²×C₁₃₉	semidirect
619. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
620. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
621. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
624. C₂×#121	C₂²×C₁₃₉	semidirect
628. C₂×C₄×Q₈	C₂²×C₁₃₉	semidirect
637. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
638. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
646. #400	C₂²×C₁₃₉	semidirect
647. #398	C₂²×C₁₃₉	semidirect
649. #397	C₂²×C₁₃₉	semidirect
650. #397	C₂²×C₁₃₉	semidirect
651. #397	C₂²×C₁₃₉	semidirect
652. #397	C₂²×C₁₃₉	semidirect
653. #395	C₂²×C₁₃₉	semidirect
654. #395	C₂²×C₁₃₉	semidirect
658. #394	C₂²×C₁₃₉	semidirect
659. #394	C₂²×C₁₃₉	semidirect
660. #394	C₂²×C₁₃₉	semidirect
664. #393	C₂²×C₁₃₉	semidirect
665. #393	C₂²×C₁₃₉	semidirect
666. #393	C₂²×C₁₃₉	semidirect
667. #393	C₂²×C₁₃₉	semidirect
668. #393	C₂²×C₁₃₉	semidirect
672. #392	C₂²×C₁₃₉	semidirect
673. #392	C₂²×C₁₃₉	semidirect
674. #391	C₂²×C₁₃₉	semidirect
678. #388	C₂²×C₁₃₉	semidirect
679. #388	C₂²×C₁₃₉	semidirect
680. #388	C₂²×C₁₃₉	semidirect
681. #388	C₂²×C₁₃₉	semidirect
682. #388	C₂²×C₁₃₉	semidirect
683. #387	C₂²×C₁₃₉	semidirect
684. #387	C₂²×C₁₃₉	semidirect
685. #387	C₂²×C₁₃₉	semidirect
686. #387	C₂²×C₁₃₉	semidirect
691. #386	C₂²×C₁₃₉	semidirect
692. #386	C₂²×C₁₃₉	semidirect
693. #386	C₂²×C₁₃₉	semidirect
694. #386	C₂²×C₁₃₉	semidirect
695. #386	C₂²×C₁₃₉	semidirect
696. #386	C₂²×C₁₃₉	semidirect
697. #386	C₂²×C₁₃₉	semidirect
699. #385	C₂²×C₁₃₉	semidirect
700. #385	C₂²×C₁₃₉	semidirect
701. #383	C₂²×C₁₃₉	semidirect
702. #381	C₂²×C₁₃₉	semidirect
703. #381	C₂²×C₁₃₉	semidirect
704. #380	C₂²×C₁₃₉	semidirect
706. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
707. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
708. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
709. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
710. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
711. #376	C₂²×C₁₃₉	semidirect
712. C₂×#95	C₂²×C₁₃₉	semidirect
713. C₂×#95	C₂²×C₁₃₉	semidirect
768. C₄×D₄	D₄×C₁₃₉	semidirect
857. C₂⁴	#41×C₁₃₉	semidirect
902. C₂×D₄	#41×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#548×C₁₃₉	2
C₂×#518×C₁₃₉	2
#2638×C₁₃₉	2
#2631×C₁₃₉	2
#2617×C₁₃₉	2
#2610×C₁₃₉	2
#2599×C₁₃₉	2
#2561×C₁₃₉	2
#2543×C₁₃₉	2
#2477×C₁₃₉	2
#2472×C₁₃₉	2
#2463×C₁₃₉	2
#2459×C₁₃₉	2
#2444×C₁₃₉	2
#2410×C₁₃₉	2
#2409×C₁₃₉	2
#2404×C₁₃₉	2
#2398×C₁₃₉	2
#2388×C₁₃₉	2
C₂×#393×C₁₃₉	2
#2364×C₁₃₉	2
#2358×C₁₃₉	2
#2353×C₁₃₉	2
#35703	139

Subgroups — C139×#35703 #48030299

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#35703 #48030299