Subgroups — C₁₃₉×#35791 #48030387

Order 35584.

2674 conjugacy classes of subgroups.

The subgroup lattice has 1136 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#546×C₁₃₉	C₂	1	1	yes	maximal, characteristic
2	C₂×#518×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2625×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2622×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2499×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2485×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2483×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2447×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2447×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2444×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2443×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2422×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2420×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2419×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2419×C₁₃₉	C₂	1	2	yes	maximal, complemented
16	#2412×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2395×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#397×C₁₃₉	C₂	1	2	yes	maximal, complemented
19	#2349×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	D₄×C₄⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2339×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	#2339×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic
25	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
26	#546×C₁₃₉	—	2	8	no	—
27	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
28	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
29	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
30	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
31	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
33	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
34	#518×C₁₃₉	—	2	8	no	—
35	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
41	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
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	1	yes	characteristic
45	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
46	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
47	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
48	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
49	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
50	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
51	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
52	#400×C₁₃₉	C₂²	1	2	yes	complemented
53	#400×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
54	#399×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
55	#398×C₁₃₉	C₂²	1	2	yes	complemented
56	#398×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
57	#397×C₁₃₉	C₂²	1	2	yes	—
58	#397×C₁₃₉	C₂²	1	2	yes	—
59	#397×C₁₃₉	C₂²	1	2	yes	—
60	#397×C₁₃₉	C₂²	1	1	yes	characteristic
61	#397×C₁₃₉	C₂²	1	2	yes	—
62	#397×C₁₃₉	C₂²	1	2	yes	—
63	#397×C₁₃₉	C₂²	1	1	yes	characteristic
64	#397×C₁₃₉	C₂²	1	2	yes	complemented
65	#397×C₁₃₉	C₂²	1	2	yes	complemented
66	#397×C₁₃₉	C₂²	1	2	yes	complemented
67	#397×C₁₃₉	C₂²	1	2	yes	complemented
68	#397×C₁₃₉	C₂²	1	2	yes	complemented
69	#397×C₁₃₉	C₂²	1	2	yes	complemented
70	#397×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
71	#394×C₁₃₉	C₂²	1	1	yes	characteristic
72	#394×C₁₃₉	C₂²	1	2	yes	—
73	#394×C₁₃₉	C₂²	1	1	yes	characteristic
74	#394×C₁₃₉	C₂²	1	2	yes	complemented
75	#394×C₁₃₉	C₂²	1	2	yes	complemented
76	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
77	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
78	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
79	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
80	#390×C₁₃₉	C₂²	1	1	yes	characteristic
81	#390×C₁₃₉	C₂²	1	1	yes	characteristic
82	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
83	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
84	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
85	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
86	#388×C₁₃₉	C₂²	1	2	yes	complemented
87	#387×C₁₃₉	C₂²	1	2	yes	complemented
88	#387×C₁₃₉	C₂²	1	2	yes	complemented
89	#387×C₁₃₉	C₂²	1	2	yes	complemented
90	#386×C₁₃₉	C₂²	1	2	yes	—
91	#386×C₁₃₉	C₂²	1	2	yes	—
92	#386×C₁₃₉	C₂²	1	2	yes	complemented
93	#386×C₁₃₉	C₂²	1	2	yes	complemented
94	#386×C₁₃₉	C₂²	1	2	yes	complemented
95	#386×C₁₃₉	C₂²	1	2	yes	complemented
96	#386×C₁₃₉	C₂²	1	2	yes	complemented
97	#385×C₁₃₉	C₂²	1	2	yes	complemented
98	#385×C₁₃₉	C₂²	1	2	yes	complemented
99	#385×C₁₃₉	C₂²	1	2	yes	complemented
100	#385×C₁₃₉	C₂²	1	2	yes	complemented
101	#385×C₁₃₉	C₂²	1	2	yes	complemented
102	#385×C₁₃₉	C₂²	1	2	yes	complemented
103	#385×C₁₃₉	C₂²	1	2	yes	complemented
104	#384×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
105	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
106	#381×C₁₃₉	C₂²	1	2	yes	complemented
107	#381×C₁₃₉	C₂²	1	2	yes	complemented
108	#381×C₁₃₉	C₂²	1	2	yes	complemented
109	#381×C₁₃₉	C₂²	1	2	yes	complemented
110	#381×C₁₃₉	C₂²	1	2	yes	complemented
111	#380×C₁₃₉	C₂²	1	1	yes	characteristic
112	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
113	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
114	#380×C₁₃₉	C₂²	1	2	yes	complemented
115	#380×C₁₃₉	C₂²	1	2	yes	complemented
116	#379×C₁₃₉	C₂²	1	2	yes	—
117	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
118	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
121	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
122	C₂×#95×C₁₃₉	C₂²	1	2	yes	complemented
123	C₂×#95×C₁₃₉	C₂²	1	2	yes	complemented
124	C₂×#95×C₁₃₉	C₂²	1	2	yes	complemented
125	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
126	C₂×#41×C₁₃₉	—	2	4	no	—
127	C₂×#41×C₁₃₉	—	2	4	no	—
128	C₂×#41×C₁₃₉	—	2	4	no	—
129	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
130	C₂²×D₄×C₁₃₉	—	2	4	no	—
131	C₂²×D₄×C₁₃₉	—	2	4	no	—
132	C₂²×D₄×C₁₃₉	D₄	1	8	yes	—
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	1	yes	characteristic
137	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
138	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
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	2	yes	—
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	2	yes	—
148	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
149	#124×C₁₃₉	—	2	4	no	—
150	#123×C₁₃₉	—	2	8	no	—
151	#123×C₁₃₉	—	4	4	no	—
152	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
153	#121×C₁₃₉	—	2	4	no	—
154	#121×C₁₃₉	—	2	8	no	—
155	#120×C₁₃₉	—	2	8	no	—
156	C₄×D₄×C₁₃₉	—	2	8	no	—
157	C₄×D₄×C₁₃₉	—	2	8	no	—
158	C₄×D₄×C₁₃₉	—	2	4	no	—
159	C₄×D₄×C₁₃₉	—	2	4	no	—
160	C₄×D₄×C₁₃₉	—	2	4	no	—
161	C₄×D₄×C₁₃₉	—	2	4	no	—
162	C₄×D₄×C₁₃₉	—	2	4	no	—
163	C₄×D₄×C₁₃₉	—	2	4	no	—
164	C₄×D₄×C₁₃₉	—	2	4	no	—
165	C₄×D₄×C₁₃₉	—	2	4	no	—
166	#117×C₁₃₉	—	2	4	no	—
167	#117×C₁₃₉	—	2	4	no	—
168	C₂×C₄⋊C₄×C₁₃₉	—	4	4	no	—
169	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
170	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
171	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
172	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
173	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	2	yes	—
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	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	1	yes	characteristic
188	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
189	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
190	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
191	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
192	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
193	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
195	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
196	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
197	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
198	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
199	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
200	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
201	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
202	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
203	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	2	yes	—
207	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
208	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
209	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
210	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
211	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	2	yes	—
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	2	yes	—
220	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
221	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
224	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
225	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
227	#95×C₁₃₉	C₂³	1	1	yes	characteristic
228	#95×C₁₃₉	C₂³	1	1	yes	characteristic
229	#95×C₁₃₉	C₂³	1	2	yes	—
230	#95×C₁₃₉	C₂³	1	1	yes	characteristic
231	#95×C₁₃₉	C₂³	1	2	yes	—
232	#95×C₁₃₉	C₂³	1	2	yes	—
233	#95×C₁₃₉	C₂³	1	2	yes	—
234	#95×C₁₃₉	C₂³	1	2	yes	—
235	#95×C₁₃₉	C₂³	1	2	yes	—
236	#95×C₁₃₉	C₂³	1	2	yes	—
237	#95×C₁₃₉	C₂³	1	2	yes	—
238	#95×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
243	#95×C₁₃₉	C₂³	1	2	yes	—
244	#95×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
249	#95×C₁₃₉	C₂³	1	1	yes	characteristic
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	C₂⁴×C₁₃₉	—	2	4	no	—
255	C₂⁴×C₁₃₉	—	2	4	no	—
256	C₂⁴×C₁₃₉	—	4	2	no	—
257	C₂⁴×C₁₃₉	—	4	2	no	—
258	C₂⁴×C₁₃₉	—	4	2	no	—
259	C₂⁴×C₁₃₉	—	4	2	no	—
260	C₂⁴×C₁₃₉	C₂×D₄	1	8	yes	—
261	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
262	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
263	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
264	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
265	#41×C₁₃₉	—	4	16	no	—
266	C₂×Q₈×C₁₃₉	—	2	2	no	—
267	C₂×Q₈×C₁₃₉	—	2	2	no	—
268	C₂×Q₈×C₁₃₉	—	2	2	no	—
269	C₂×D₄×C₁₃₉	—	2	4	no	—
270	C₂×D₄×C₁₃₉	—	2	4	no	—
271	C₂×D₄×C₁₃₉	—	2	32	no	—
272	C₂×D₄×C₁₃₉	—	2	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	4	no	—
277	C₂×D₄×C₁₃₉	—	2	2	no	—
278	C₂×D₄×C₁₃₉	—	2	2	no	—
279	C₂×D₄×C₁₃₉	—	4	1	no	—
280	C₂×D₄×C₁₃₉	—	4	1	no	—
281	C₂×D₄×C₁₃₉	—	4	2	no	—
282	C₂×D₄×C₁₃₉	—	4	2	no	—
283	C₂×D₄×C₁₃₉	C₂×D₄	1	8	yes	—
284	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
285	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
286	C₂×D₄×C₁₃₉	#41	1	4	yes	—
287	C₂×D₄×C₁₃₉	#41	1	4	yes	—
288	C₂²×C₄×C₁₃₉	—	2	2	no	—
289	C₂²×C₄×C₁₃₉	—	2	2	no	—
290	C₂²×C₄×C₁₃₉	—	2	4	no	—
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	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	4	no	—
300	C₂²×C₄×C₁₃₉	—	2	2	no	—
301	C₂²×C₄×C₁₃₉	—	2	2	no	—
302	C₂²×C₄×C₁₃₉	—	2	2	no	—
303	C₂²×C₄×C₁₃₉	—	2	4	no	—
304	C₂²×C₄×C₁₃₉	—	4	2	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	—	4	2	no	—
317	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
318	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
319	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
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	2	yes	—
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	2	yes	—
332	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
334	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
336	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
337	C₄⋊C₄×C₁₃₉	—	2	2	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	4	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	4	no	—
348	C₄⋊C₄×C₁₃₉	—	4	2	no	—
349	C₄⋊C₄×C₁₃₉	—	4	2	no	—
350	C₄⋊C₄×C₁₃₉	—	4	1	no	—
351	C₄⋊C₄×C₁₃₉	—	4	1	no	—
352	C₄⋊C₄×C₁₃₉	—	4	1	no	—
353	C₄⋊C₄×C₁₃₉	—	4	2	no	—
354	C₄⋊C₄×C₁₃₉	—	4	2	no	—
355	C₄⋊C₄×C₁₃₉	—	4	2	no	—
356	C₂²⋊C₄×C₁₃₉	—	2	2	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	4	no	—
361	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
362	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
363	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
364	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
365	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
366	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
367	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
368	C₂²⋊C₄×C₁₃₉	—	2	4	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	4	no	—
374	C₂²⋊C₄×C₁₃₉	—	2	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	1	no	—
379	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
380	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
381	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
382	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
383	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
384	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
385	C₄²×C₁₃₉	—	2	4	no	—
386	C₄²×C₁₃₉	—	2	2	no	—
387	C₄²×C₁₃₉	—	2	2	no	—
388	C₄²×C₁₃₉	—	2	2	no	—
389	C₄²×C₁₃₉	—	2	2	no	—
390	C₄²×C₁₃₉	—	2	2	no	—
391	C₂³×C₁₃₉	—	2	2	no	—
392	C₂³×C₁₃₉	—	2	2	no	—
393	C₂³×C₁₃₉	—	2	2	no	—
394	C₂³×C₁₃₉	—	2	2	no	—
395	C₂³×C₁₃₉	—	2	1	no	—
396	C₂³×C₁₃₉	—	2	1	no	—
397	C₂³×C₁₃₉	—	2	2	no	—
398	C₂³×C₁₃₉	—	2	2	no	—
399	C₂³×C₁₃₉	—	2	1	no	—
400	C₂³×C₁₃₉	—	2	2	no	—
401	C₂³×C₁₃₉	—	2	2	no	—
402	C₂³×C₁₃₉	—	2	2	no	—
403	C₂³×C₁₃₉	—	2	1	no	—
404	C₂³×C₁₃₉	—	2	2	no	—
405	C₂³×C₁₃₉	—	2	1	no	—
406	C₂³×C₁₃₉	—	2	1	no	—
407	C₂³×C₁₃₉	—	2	16	no	—
408	C₂³×C₁₃₉	—	2	1	no	—
409	C₂³×C₁₃₉	—	2	1	no	—
410	C₂³×C₁₃₉	—	2	1	no	—
411	C₂³×C₁₃₉	—	2	1	no	—
412	C₂³×C₁₃₉	—	2	1	no	—
413	C₂³×C₁₃₉	—	2	1	no	—
414	C₂³×C₁₃₉	—	2	1	no	—
415	C₂³×C₁₃₉	—	4	8	no	—
416	C₂³×C₁₃₉	—	4	8	no	—
417	C₂³×C₁₃₉	—	8	4	no	—
418	C₂³×C₁₃₉	—	8	4	no	—
419	C₂³×C₁₃₉	—	8	4	no	—
420	C₂³×C₁₃₉	—	8	4	no	—
421	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
422	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
423	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
424	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
425	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
426	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
427	Q₈×C₁₃₉	—	4	4	no	—
428	D₄×C₁₃₉	—	2	16	no	—
429	D₄×C₁₃₉	—	2	8	no	—
430	D₄×C₁₃₉	—	4	4	no	—
431	D₄×C₁₃₉	—	4	8	no	—
432	D₄×C₁₃₉	—	8	4	no	—
433	D₄×C₁₃₉	#123	1	16	yes	complemented
434	C₂×C₄×C₁₃₉	—	2	1	no	—
435	C₂×C₄×C₁₃₉	—	2	1	no	—
436	C₂×C₄×C₁₃₉	—	2	1	no	—
437	C₂×C₄×C₁₃₉	—	2	1	no	—
438	C₂×C₄×C₁₃₉	—	2	8	no	—
439	C₂×C₄×C₁₃₉	—	2	1	no	—
440	C₂×C₄×C₁₃₉	—	2	1	no	—
441	C₂×C₄×C₁₃₉	—	2	2	no	—
442	C₂×C₄×C₁₃₉	—	2	1	no	—
443	C₂×C₄×C₁₃₉	—	2	1	no	—
444	C₂×C₄×C₁₃₉	—	2	1	no	—
445	C₂×C₄×C₁₃₉	—	2	2	no	—
446	C₂×C₄×C₁₃₉	—	2	1	no	—
447	C₂×C₄×C₁₃₉	—	2	2	no	—
448	C₂×C₄×C₁₃₉	—	2	1	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	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	2	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	1	no	—
465	C₂×C₄×C₁₃₉	—	2	1	no	—
466	C₂×C₄×C₁₃₉	—	2	2	no	—
467	C₂×C₄×C₁₃₉	—	2	1	no	—
468	C₂×C₄×C₁₃₉	—	2	1	no	—
469	C₂×C₄×C₁₃₉	—	2	1	no	—
470	C₂×C₄×C₁₃₉	—	2	2	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	1	no	—
475	C₂×C₄×C₁₃₉	—	2	1	no	—
476	C₂×C₄×C₁₃₉	—	2	1	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	1	no	—
482	C₂×C₄×C₁₃₉	—	2	2	no	—
483	C₂×C₄×C₁₃₉	—	2	1	no	—
484	C₂×C₄×C₁₃₉	—	2	1	no	—
485	C₂×C₄×C₁₃₉	—	2	2	no	—
486	C₂×C₄×C₁₃₉	—	2	2	no	—
487	C₂×C₄×C₁₃₉	—	4	8	no	—
488	C₂×C₄×C₁₃₉	—	4	8	no	—
489	C₂×C₄×C₁₃₉	—	4	4	no	—
490	C₂×C₄×C₁₃₉	—	8	4	no	—
491	C₂×C₄×C₁₃₉	—	8	4	no	—
492	C₂×C₄×C₁₃₉	—	8	4	no	—
493	C₂×C₄×C₁₃₉	—	8	4	no	—
494	C₂×C₄×C₁₃₉	—	8	4	no	—
495	C₂×C₄×C₁₃₉	—	8	4	no	—
496	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
497	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
498	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
499	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
500	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
501	C₂²×C₁₃₉	—	2	4	no	—
502	C₂²×C₁₃₉	—	2	4	no	—
503	C₂²×C₁₃₉	—	2	4	no	—
504	C₂²×C₁₃₉	—	2	4	no	—
505	C₂²×C₁₃₉	—	2	4	no	—
506	C₂²×C₁₃₉	—	2	4	no	—
507	C₂²×C₁₃₉	—	2	2	no	—
508	C₂²×C₁₃₉	—	2	4	no	—
509	C₂²×C₁₃₉	—	2	4	no	—
510	C₂²×C₁₃₉	—	2	2	no	—
511	C₂²×C₁₃₉	—	2	4	no	—
512	C₂²×C₁₃₉	—	2	2	no	—
513	C₂²×C₁₃₉	—	4	2	no	—
514	C₂²×C₁₃₉	—	4	1	no	—
515	C₂²×C₁₃₉	—	4	2	no	—
516	C₂²×C₁₃₉	—	4	1	no	—
517	C₂²×C₁₃₉	—	4	2	no	—
518	C₂²×C₁₃₉	—	4	2	no	—
519	C₂²×C₁₃₉	—	4	1	no	—
520	C₂²×C₁₃₉	—	4	1	no	—
521	C₂²×C₁₃₉	—	4	1	no	—
522	C₂²×C₁₃₉	—	4	1	no	—
523	C₂²×C₁₃₉	—	4	1	no	—
524	C₂²×C₁₃₉	—	4	1	no	—
525	C₂²×C₁₃₉	—	4	1	no	—
526	C₂²×C₁₃₉	—	4	1	no	—
527	C₂²×C₁₃₉	—	4	1	no	—
528	C₂²×C₁₃₉	—	8	16	no	—
529	C₂²×C₁₃₉	C₂×#123	1	8	yes	—
530	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
531	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
532	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
533	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
534	C₂²×C₁₃₉	#585	1	1	yes	characteristic
535	C₂²×C₁₃₉	#585	1	1	yes	characteristic
536	C₂²×C₁₃₉	#585	1	1	yes	characteristic
537	C₄×C₁₃₉	—	2	2	no	—
538	C₄×C₁₃₉	—	2	2	no	—
539	C₄×C₁₃₉	—	4	1	no	—
540	C₄×C₁₃₉	—	4	2	no	—
541	C₄×C₁₃₉	—	4	2	no	—
542	C₄×C₁₃₉	—	4	1	no	—
543	C₄×C₁₃₉	—	4	1	no	—
544	C₄×C₁₃₉	—	4	1	no	—
545	C₄×C₁₃₉	—	4	1	no	—
546	C₄×C₁₃₉	—	4	1	no	—
547	C₄×C₁₃₉	—	4	2	no	—
548	C₄×C₁₃₉	—	4	1	no	—
549	C₄×C₁₃₉	—	4	2	no	—
550	C₄×C₁₃₉	—	4	2	no	—
551	C₄×C₁₃₉	—	4	2	no	—
552	C₄×C₁₃₉	—	4	1	no	—
553	C₄×C₁₃₉	—	4	1	no	—
554	C₄×C₁₃₉	—	4	1	no	—
555	C₄×C₁₃₉	C₂×#123	1	4	yes	—
556	C₂×C₁₃₉	—	2	8	no	—
557	C₂×C₁₃₉	—	4	4	no	—
558	C₂×C₁₃₉	—	4	2	no	—
559	C₂×C₁₃₉	—	8	1	no	—
560	C₂×C₁₃₉	C₂²×#123	1	1	yes	characteristic
561	C₂×C₁₃₉	#3485	1	1	yes	characteristic
562	C₂×C₁₃₉	#3496	1	1	yes	characteristic
563	C₂×C₁₃₉	#3513	1	1	yes	characteristic
564	C₂×C₁₃₉	#3514	1	1	yes	characteristic
565	C₂×C₁₃₉	#3521	1	1	yes	characteristic
566	C₂×C₁₃₉	#3521	1	1	yes	characteristic
567	#35791	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
568	C₁₃₉	#35791	1	1	yes	characteristic, direct product factor, Sylow
569	C₂×#546	C₂×C₁₃₉	1	1	yes	characteristic
570	C₂×#518	C₂×C₁₃₉	1	1	yes	characteristic, complemented
571	#2625	C₂×C₁₃₉	1	1	yes	characteristic, complemented
572	#2622	C₂×C₁₃₉	1	2	yes	complemented
573	#2499	C₂×C₁₃₉	1	1	yes	characteristic, complemented
574	#2485	C₂×C₁₃₉	1	1	yes	characteristic, complemented
575	#2483	C₂×C₁₃₉	1	2	yes	complemented
576	#2447	C₂×C₁₃₉	1	1	yes	characteristic, complemented
577	#2447	C₂×C₁₃₉	1	1	yes	characteristic, complemented
578	#2444	C₂×C₁₃₉	1	2	yes	complemented
579	#2443	C₂×C₁₃₉	1	2	yes	complemented
580	#2422	C₂×C₁₃₉	1	1	yes	characteristic, complemented
581	#2420	C₂×C₁₃₉	1	1	yes	characteristic, complemented
582	#2419	C₂×C₁₃₉	1	2	yes	complemented
583	#2419	C₂×C₁₃₉	1	2	yes	complemented
584	#2412	C₂×C₁₃₉	1	2	yes	complemented
585	#2395	C₂×C₁₃₉	1	1	yes	characteristic, complemented
586	C₂×#397	C₂×C₁₃₉	1	2	yes	complemented
587	#2349	C₂×C₁₃₉	1	1	yes	characteristic, complemented
588	D₄×C₄⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
589	#2339	C₂×C₁₃₉	1	1	yes	characteristic, complemented
590	#2339	C₂×C₁₃₉	1	1	yes	characteristic, complemented
591	D₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
592	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic
593	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
594	#546	—	2	8	no	—
595	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
596	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
597	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
598	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
599	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
600	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
601	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
602	#518	—	2	8	no	—
603	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
604	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
605	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
606	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
607	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
608	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
609	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
610	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
611	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
612	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
613	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
614	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
615	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
616	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
617	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
618	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
619	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
620	#400	C₂²×C₁₃₉	1	2	yes	complemented
621	#400	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
622	#399	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
623	#398	C₂²×C₁₃₉	1	2	yes	complemented
624	#398	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
625	#397	C₂²×C₁₃₉	1	2	yes	—
626	#397	C₂²×C₁₃₉	1	2	yes	—
627	#397	C₂²×C₁₃₉	1	2	yes	—
628	#397	C₂²×C₁₃₉	1	1	yes	characteristic
629	#397	C₂²×C₁₃₉	1	2	yes	—
630	#397	C₂²×C₁₃₉	1	2	yes	—
631	#397	C₂²×C₁₃₉	1	1	yes	characteristic
632	#397	C₂²×C₁₃₉	1	2	yes	complemented
633	#397	C₂²×C₁₃₉	1	2	yes	complemented
634	#397	C₂²×C₁₃₉	1	2	yes	complemented
635	#397	C₂²×C₁₃₉	1	2	yes	complemented
636	#397	C₂²×C₁₃₉	1	2	yes	complemented
637	#397	C₂²×C₁₃₉	1	2	yes	complemented
638	#397	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
639	#394	C₂²×C₁₃₉	1	1	yes	characteristic
640	#394	C₂²×C₁₃₉	1	2	yes	—
641	#394	C₂²×C₁₃₉	1	1	yes	characteristic
642	#394	C₂²×C₁₃₉	1	2	yes	complemented
643	#394	C₂²×C₁₃₉	1	2	yes	complemented
644	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
645	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
646	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
647	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
648	#390	C₂²×C₁₃₉	1	1	yes	characteristic
649	#390	C₂²×C₁₃₉	1	1	yes	characteristic
650	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
651	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
652	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
653	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
654	#388	C₂²×C₁₃₉	1	2	yes	complemented
655	#387	C₂²×C₁₃₉	1	2	yes	complemented
656	#387	C₂²×C₁₃₉	1	2	yes	complemented
657	#387	C₂²×C₁₃₉	1	2	yes	complemented
658	#386	C₂²×C₁₃₉	1	2	yes	—
659	#386	C₂²×C₁₃₉	1	2	yes	—
660	#386	C₂²×C₁₃₉	1	2	yes	complemented
661	#386	C₂²×C₁₃₉	1	2	yes	complemented
662	#386	C₂²×C₁₃₉	1	2	yes	complemented
663	#386	C₂²×C₁₃₉	1	2	yes	complemented
664	#386	C₂²×C₁₃₉	1	2	yes	complemented
665	#385	C₂²×C₁₃₉	1	2	yes	complemented
666	#385	C₂²×C₁₃₉	1	2	yes	complemented
667	#385	C₂²×C₁₃₉	1	2	yes	complemented
668	#385	C₂²×C₁₃₉	1	2	yes	complemented
669	#385	C₂²×C₁₃₉	1	2	yes	complemented
670	#385	C₂²×C₁₃₉	1	2	yes	complemented
671	#385	C₂²×C₁₃₉	1	2	yes	complemented
672	#384	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
673	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
674	#381	C₂²×C₁₃₉	1	2	yes	complemented
675	#381	C₂²×C₁₃₉	1	2	yes	complemented
676	#381	C₂²×C₁₃₉	1	2	yes	complemented
677	#381	C₂²×C₁₃₉	1	2	yes	complemented
678	#381	C₂²×C₁₃₉	1	2	yes	complemented
679	#380	C₂²×C₁₃₉	1	1	yes	characteristic
680	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
681	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
682	#380	C₂²×C₁₃₉	1	2	yes	complemented
683	#380	C₂²×C₁₃₉	1	2	yes	complemented
684	#379	C₂²×C₁₃₉	1	2	yes	—
685	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
686	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
687	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
688	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
689	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
690	C₂×#95	C₂²×C₁₃₉	1	2	yes	complemented
691	C₂×#95	C₂²×C₁₃₉	1	2	yes	complemented
692	C₂×#95	C₂²×C₁₃₉	1	2	yes	complemented
693	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
694	C₂×#41	—	2	4	no	—
695	C₂×#41	—	2	4	no	—
696	C₂×#41	—	2	4	no	—
697	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
698	C₂²×D₄	—	2	4	no	—
699	C₂²×D₄	—	2	4	no	—
700	C₂²×D₄	D₄×C₁₃₉	1	8	yes	—
701	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
702	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
703	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
704	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
705	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
706	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
707	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
708	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
709	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
710	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
711	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
712	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
713	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
714	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
715	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
716	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
717	#124	—	2	4	no	—
718	#123	—	2	8	no	—
719	#123	—	4	4	no	—
720	C₂²⋊Q₈	—	2	4	no	—
721	#121	—	2	4	no	—
722	#121	—	2	8	no	—
723	#120	—	2	8	no	—
724	C₄×D₄	—	2	8	no	—
725	C₄×D₄	—	2	8	no	—
726	C₄×D₄	—	2	4	no	—
727	C₄×D₄	—	2	4	no	—
728	C₄×D₄	—	2	4	no	—
729	C₄×D₄	—	2	4	no	—
730	C₄×D₄	—	2	4	no	—
731	C₄×D₄	—	2	4	no	—
732	C₄×D₄	—	2	4	no	—
733	C₄×D₄	—	2	4	no	—
734	#117	—	2	4	no	—
735	#117	—	2	4	no	—
736	C₂×C₄⋊C₄	—	4	4	no	—
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	1	yes	characteristic
740	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
741	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
742	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
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	2	yes	—
750	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
751	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
752	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
753	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
754	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
755	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
756	C₂×C₂²⋊C₄	—	2	8	no	—
757	C₂×C₂²⋊C₄	—	2	8	no	—
758	C₂×C₂²⋊C₄	—	2	8	no	—
759	C₂×C₂²⋊C₄	—	4	4	no	—
760	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
761	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
762	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
763	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
764	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
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	2	yes	—
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	1	yes	characteristic
775	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
776	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
777	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
778	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
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	1	yes	characteristic
784	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
785	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
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×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
790	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
791	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
792	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
793	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
794	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
795	#95	C₂³×C₁₃₉	1	1	yes	characteristic
796	#95	C₂³×C₁₃₉	1	1	yes	characteristic
797	#95	C₂³×C₁₃₉	1	1	yes	characteristic
798	#95	C₂³×C₁₃₉	1	2	yes	—
799	#95	C₂³×C₁₃₉	1	2	yes	—
800	#95	C₂³×C₁₃₉	1	2	yes	—
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	#95	C₂³×C₁₃₉	1	1	yes	characteristic
808	#95	C₂³×C₁₃₉	1	1	yes	characteristic
809	#95	C₂³×C₁₃₉	1	1	yes	characteristic
810	#95	C₂³×C₁₃₉	1	1	yes	characteristic
811	#95	C₂³×C₁₃₉	1	1	yes	characteristic
812	#95	C₂³×C₁₃₉	1	1	yes	characteristic
813	#95	C₂³×C₁₃₉	1	1	yes	characteristic
814	#95	C₂³×C₁₃₉	1	2	yes	—
815	#95	C₂³×C₁₃₉	1	2	yes	—
816	#95	C₂³×C₁₃₉	1	2	yes	—
817	#95	C₂³×C₁₃₉	1	2	yes	—
818	#95	C₂³×C₁₃₉	1	2	yes	—
819	#95	C₂³×C₁₃₉	1	2	yes	—
820	#95	C₂³×C₁₃₉	1	2	yes	—
821	#95	C₂³×C₁₃₉	1	2	yes	—
822	C₂⁴	—	2	4	no	—
823	C₂⁴	—	2	4	no	—
824	C₂⁴	—	4	2	no	—
825	C₂⁴	—	4	2	no	—
826	C₂⁴	—	4	2	no	—
827	C₂⁴	—	4	2	no	—
828	C₂⁴	C₂×D₄×C₁₃₉	1	8	yes	—
829	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
830	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
831	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
832	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
833	#41	—	4	16	no	—
834	C₂×Q₈	—	2	2	no	—
835	C₂×Q₈	—	2	2	no	—
836	C₂×Q₈	—	2	2	no	—
837	C₂×D₄	—	2	4	no	—
838	C₂×D₄	—	2	4	no	—
839	C₂×D₄	—	2	32	no	—
840	C₂×D₄	—	2	2	no	—
841	C₂×D₄	—	2	4	no	—
842	C₂×D₄	—	2	4	no	—
843	C₂×D₄	—	2	4	no	—
844	C₂×D₄	—	2	4	no	—
845	C₂×D₄	—	2	2	no	—
846	C₂×D₄	—	2	2	no	—
847	C₂×D₄	—	4	1	no	—
848	C₂×D₄	—	4	1	no	—
849	C₂×D₄	—	4	2	no	—
850	C₂×D₄	—	4	2	no	—
851	C₂×D₄	C₂×D₄×C₁₃₉	1	8	yes	—
852	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
853	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
854	C₂×D₄	#41×C₁₃₉	1	4	yes	—
855	C₂×D₄	#41×C₁₃₉	1	4	yes	—
856	C₂²×C₄	—	2	2	no	—
857	C₂²×C₄	—	2	2	no	—
858	C₂²×C₄	—	2	4	no	—
859	C₂²×C₄	—	2	4	no	—
860	C₂²×C₄	—	2	4	no	—
861	C₂²×C₄	—	2	4	no	—
862	C₂²×C₄	—	2	4	no	—
863	C₂²×C₄	—	2	4	no	—
864	C₂²×C₄	—	2	4	no	—
865	C₂²×C₄	—	2	4	no	—
866	C₂²×C₄	—	2	4	no	—
867	C₂²×C₄	—	2	4	no	—
868	C₂²×C₄	—	2	2	no	—
869	C₂²×C₄	—	2	2	no	—
870	C₂²×C₄	—	2	2	no	—
871	C₂²×C₄	—	2	4	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	—	4	2	no	—
879	C₂²×C₄	—	4	2	no	—
880	C₂²×C₄	—	4	2	no	—
881	C₂²×C₄	—	4	2	no	—
882	C₂²×C₄	—	4	2	no	—
883	C₂²×C₄	—	4	2	no	—
884	C₂²×C₄	—	4	2	no	—
885	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
886	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
887	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
888	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
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	2	yes	—
893	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
894	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
895	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
896	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
897	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
898	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
899	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
900	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
901	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
902	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
903	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
904	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
905	C₄⋊C₄	—	2	2	no	—
906	C₄⋊C₄	—	2	2	no	—
907	C₄⋊C₄	—	2	2	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	2	no	—
910	C₄⋊C₄	—	2	2	no	—
911	C₄⋊C₄	—	2	4	no	—
912	C₄⋊C₄	—	2	2	no	—
913	C₄⋊C₄	—	2	2	no	—
914	C₄⋊C₄	—	2	2	no	—
915	C₄⋊C₄	—	2	4	no	—
916	C₄⋊C₄	—	4	2	no	—
917	C₄⋊C₄	—	4	2	no	—
918	C₄⋊C₄	—	4	1	no	—
919	C₄⋊C₄	—	4	1	no	—
920	C₄⋊C₄	—	4	1	no	—
921	C₄⋊C₄	—	4	2	no	—
922	C₄⋊C₄	—	4	2	no	—
923	C₄⋊C₄	—	4	2	no	—
924	C₂²⋊C₄	—	2	2	no	—
925	C₂²⋊C₄	—	2	4	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	4	no	—
931	C₂²⋊C₄	—	2	4	no	—
932	C₂²⋊C₄	—	2	4	no	—
933	C₂²⋊C₄	—	2	4	no	—
934	C₂²⋊C₄	—	2	4	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	2	no	—
940	C₂²⋊C₄	—	2	2	no	—
941	C₂²⋊C₄	—	2	4	no	—
942	C₂²⋊C₄	—	2	2	no	—
943	C₂²⋊C₄	—	4	2	no	—
944	C₂²⋊C₄	—	4	2	no	—
945	C₂²⋊C₄	—	4	2	no	—
946	C₂²⋊C₄	—	4	1	no	—
947	C₂²⋊C₄	—	4	2	no	—
948	C₂²⋊C₄	—	4	1	no	—
949	C₂²⋊C₄	—	4	1	no	—
950	C₂²⋊C₄	—	4	2	no	—
951	C₂²⋊C₄	—	4	1	no	—
952	C₂²⋊C₄	—	4	2	no	—
953	C₄²	—	2	4	no	—
954	C₄²	—	2	2	no	—
955	C₄²	—	2	2	no	—
956	C₄²	—	2	2	no	—
957	C₄²	—	2	2	no	—
958	C₄²	—	2	2	no	—
959	C₂³	—	2	2	no	—
960	C₂³	—	2	2	no	—
961	C₂³	—	2	2	no	—
962	C₂³	—	2	2	no	—
963	C₂³	—	2	1	no	—
964	C₂³	—	2	1	no	—
965	C₂³	—	2	2	no	—
966	C₂³	—	2	2	no	—
967	C₂³	—	2	1	no	—
968	C₂³	—	2	2	no	—
969	C₂³	—	2	2	no	—
970	C₂³	—	2	2	no	—
971	C₂³	—	2	1	no	—
972	C₂³	—	2	2	no	—
973	C₂³	—	2	1	no	—
974	C₂³	—	2	1	no	—
975	C₂³	—	2	16	no	—
976	C₂³	—	2	1	no	—
977	C₂³	—	2	1	no	—
978	C₂³	—	2	1	no	—
979	C₂³	—	2	1	no	—
980	C₂³	—	2	1	no	—
981	C₂³	—	2	1	no	—
982	C₂³	—	2	1	no	—
983	C₂³	—	4	8	no	—
984	C₂³	—	4	8	no	—
985	C₂³	—	8	4	no	—
986	C₂³	—	8	4	no	—
987	C₂³	—	8	4	no	—
988	C₂³	—	8	4	no	—
989	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
990	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
991	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
992	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
993	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
994	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
995	Q₈	—	4	4	no	—
996	D₄	—	2	16	no	—
997	D₄	—	2	8	no	—
998	D₄	—	4	4	no	—
999	D₄	—	4	8	no	—
1000	D₄	—	8	4	no	—
1001	D₄	#123×C₁₃₉	1	16	yes	complemented
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	8	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	2	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	1	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	2	no	—
1014	C₂×C₄	—	2	1	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	2	1	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	1	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	2	1	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	2	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	4	8	no	—
1056	C₂×C₄	—	4	8	no	—
1057	C₂×C₄	—	4	4	no	—
1058	C₂×C₄	—	8	4	no	—
1059	C₂×C₄	—	8	4	no	—
1060	C₂×C₄	—	8	4	no	—
1061	C₂×C₄	—	8	4	no	—
1062	C₂×C₄	—	8	4	no	—
1063	C₂×C₄	—	8	4	no	—
1064	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1065	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1066	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1067	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1068	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1069	C₂²	—	2	4	no	—
1070	C₂²	—	2	4	no	—
1071	C₂²	—	2	4	no	—
1072	C₂²	—	2	4	no	—
1073	C₂²	—	2	4	no	—
1074	C₂²	—	2	4	no	—
1075	C₂²	—	2	2	no	—
1076	C₂²	—	2	4	no	—
1077	C₂²	—	2	4	no	—
1078	C₂²	—	2	2	no	—
1079	C₂²	—	2	4	no	—
1080	C₂²	—	2	2	no	—
1081	C₂²	—	4	1	no	—
1082	C₂²	—	4	2	no	—
1083	C₂²	—	4	1	no	—
1084	C₂²	—	4	2	no	—
1085	C₂²	—	4	1	no	—
1086	C₂²	—	4	1	no	—
1087	C₂²	—	4	2	no	—
1088	C₂²	—	4	2	no	—
1089	C₂²	—	4	1	no	—
1090	C₂²	—	4	1	no	—
1091	C₂²	—	4	1	no	—
1092	C₂²	—	4	1	no	—
1093	C₂²	—	4	1	no	—
1094	C₂²	—	4	1	no	—
1095	C₂²	—	4	1	no	—
1096	C₂²	—	8	16	no	—
1097	C₂²	C₂×#123×C₁₃₉	1	8	yes	—
1098	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1099	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1100	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1101	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1102	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1103	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1104	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1105	C₄	—	2	2	no	—
1106	C₄	—	2	2	no	—
1107	C₄	—	4	1	no	—
1108	C₄	—	4	2	no	—
1109	C₄	—	4	2	no	—
1110	C₄	—	4	1	no	—
1111	C₄	—	4	1	no	—
1112	C₄	—	4	1	no	—
1113	C₄	—	4	1	no	—
1114	C₄	—	4	1	no	—
1115	C₄	—	4	2	no	—
1116	C₄	—	4	1	no	—
1117	C₄	—	4	2	no	—
1118	C₄	—	4	2	no	—
1119	C₄	—	4	1	no	—
1120	C₄	—	4	2	no	—
1121	C₄	—	4	1	no	—
1122	C₄	—	4	1	no	—
1123	C₄	C₂×#123×C₁₃₉	1	4	yes	—
1124	C₂	—	2	8	no	—
1125	C₂	—	4	2	no	—
1126	C₂	—	4	4	no	—
1127	C₂	—	8	1	no	—
1128	C₂	C₂²×#123×C₁₃₉	1	1	yes	characteristic
1129	C₂	#3485×C₁₃₉	1	1	yes	characteristic
1130	C₂	#3496×C₁₃₉	1	1	yes	characteristic
1131	C₂	#3513×C₁₃₉	1	1	yes	characteristic
1132	C₂	#3514×C₁₃₉	1	1	yes	characteristic
1133	C₂	#3521×C₁₃₉	1	1	yes	characteristic
1134	C₂	#3521×C₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	C₂×#546×C₁₃₉	C₂
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
2. C₂×#518×C₁₃₉	C₂	semidirect
3. #2625×C₁₃₉	C₂	semidirect
4. #2622×C₁₃₉	C₂	semidirect
5. #2499×C₁₃₉	C₂	semidirect
6. #2485×C₁₃₉	C₂	semidirect
7. #2483×C₁₃₉	C₂	semidirect
8. #2447×C₁₃₉	C₂	semidirect
9. #2447×C₁₃₉	C₂	semidirect
10. #2444×C₁₃₉	C₂	semidirect
11. #2443×C₁₃₉	C₂	semidirect
12. #2422×C₁₃₉	C₂	semidirect
13. #2420×C₁₃₉	C₂	semidirect
14. #2419×C₁₃₉	C₂	semidirect
15. #2419×C₁₃₉	C₂	semidirect
16. #2412×C₁₃₉	C₂	semidirect
17. #2395×C₁₃₉	C₂	semidirect
18. C₂×#397×C₁₃₉	C₂	semidirect
19. #2349×C₁₃₉	C₂	semidirect
20. D₄×C₄⋊C₄×C₁₃₉	C₂	semidirect
21. #2339×C₁₃₉	C₂	semidirect
22. #2339×C₁₃₉	C₂	semidirect
23. D₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
29. C₂×#123×C₁₃₉	C₂²	semidirect
47. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
52. #400×C₁₃₉	C₂²	semidirect
53. #400×C₁₃₉	C₂²	semidirect
54. #399×C₁₃₉	C₂²	semidirect
55. #398×C₁₃₉	C₂²	semidirect
56. #398×C₁₃₉	C₂²	semidirect
64. #397×C₁₃₉	C₂²	semidirect
65. #397×C₁₃₉	C₂²	semidirect
66. #397×C₁₃₉	C₂²	semidirect
67. #397×C₁₃₉	C₂²	semidirect
68. #397×C₁₃₉	C₂²	semidirect
69. #397×C₁₃₉	C₂²	semidirect
70. #397×C₁₃₉	C₂²	semidirect
74. #394×C₁₃₉	C₂²	semidirect
75. #394×C₁₃₉	C₂²	semidirect
76. #391×C₁₃₉	C₂²	semidirect
77. #391×C₁₃₉	C₂²	semidirect
78. #391×C₁₃₉	C₂²	semidirect
79. #391×C₁₃₉	C₂²	semidirect
82. #389×C₁₃₉	C₂²	semidirect
83. #389×C₁₃₉	C₂²	semidirect
84. #389×C₁₃₉	C₂²	semidirect
85. #389×C₁₃₉	C₂²	semidirect
86. #388×C₁₃₉	C₂²	semidirect
87. #387×C₁₃₉	C₂²	semidirect
88. #387×C₁₃₉	C₂²	semidirect
89. #387×C₁₃₉	C₂²	semidirect
92. #386×C₁₃₉	C₂²	semidirect
93. #386×C₁₃₉	C₂²	semidirect
94. #386×C₁₃₉	C₂²	semidirect
95. #386×C₁₃₉	C₂²	semidirect
96. #386×C₁₃₉	C₂²	semidirect
97. #385×C₁₃₉	C₂²	semidirect
98. #385×C₁₃₉	C₂²	semidirect
99. #385×C₁₃₉	C₂²	semidirect
100. #385×C₁₃₉	C₂²	semidirect
101. #385×C₁₃₉	C₂²	semidirect
102. #385×C₁₃₉	C₂²	semidirect
103. #385×C₁₃₉	C₂²	semidirect
104. #384×C₁₃₉	C₂²	semidirect
105. #382×C₁₃₉	C₂²	semidirect
106. #381×C₁₃₉	C₂²	semidirect
107. #381×C₁₃₉	C₂²	semidirect
108. #381×C₁₃₉	C₂²	semidirect
109. #381×C₁₃₉	C₂²	semidirect
110. #381×C₁₃₉	C₂²	semidirect
112. #380×C₁₃₉	C₂²	semidirect
113. #380×C₁₃₉	C₂²	semidirect
114. #380×C₁₃₉	C₂²	semidirect
115. #380×C₁₃₉	C₂²	semidirect
117. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
118. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
120. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
121. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
122. C₂×#95×C₁₃₉	C₂²	semidirect
123. C₂×#95×C₁₃₉	C₂²	semidirect
124. C₂×#95×C₁₃₉	C₂²	semidirect
433. D₄×C₁₃₉	#123	semidirect
567. #35791	C₁₃₉	direct (N × H)
568. C₁₃₉	#35791	direct (N × H)
570. C₂×#518	C₂×C₁₃₉	semidirect
571. #2625	C₂×C₁₃₉	semidirect
572. #2622	C₂×C₁₃₉	semidirect
573. #2499	C₂×C₁₃₉	semidirect
574. #2485	C₂×C₁₃₉	semidirect
575. #2483	C₂×C₁₃₉	semidirect
576. #2447	C₂×C₁₃₉	semidirect
577. #2447	C₂×C₁₃₉	semidirect
578. #2444	C₂×C₁₃₉	semidirect
579. #2443	C₂×C₁₃₉	semidirect
580. #2422	C₂×C₁₃₉	semidirect
581. #2420	C₂×C₁₃₉	semidirect
582. #2419	C₂×C₁₃₉	semidirect
583. #2419	C₂×C₁₃₉	semidirect
584. #2412	C₂×C₁₃₉	semidirect
585. #2395	C₂×C₁₃₉	semidirect
586. C₂×#397	C₂×C₁₃₉	semidirect
587. #2349	C₂×C₁₃₉	semidirect
588. D₄×C₄⋊C₄	C₂×C₁₃₉	semidirect
589. #2339	C₂×C₁₃₉	semidirect
590. #2339	C₂×C₁₃₉	semidirect
591. D₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
597. C₂×#123	C₂²×C₁₃₉	semidirect
615. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
620. #400	C₂²×C₁₃₉	semidirect
621. #400	C₂²×C₁₃₉	semidirect
622. #399	C₂²×C₁₃₉	semidirect
623. #398	C₂²×C₁₃₉	semidirect
624. #398	C₂²×C₁₃₉	semidirect
632. #397	C₂²×C₁₃₉	semidirect
633. #397	C₂²×C₁₃₉	semidirect
634. #397	C₂²×C₁₃₉	semidirect
635. #397	C₂²×C₁₃₉	semidirect
636. #397	C₂²×C₁₃₉	semidirect
637. #397	C₂²×C₁₃₉	semidirect
638. #397	C₂²×C₁₃₉	semidirect
642. #394	C₂²×C₁₃₉	semidirect
643. #394	C₂²×C₁₃₉	semidirect
644. #391	C₂²×C₁₃₉	semidirect
645. #391	C₂²×C₁₃₉	semidirect
646. #391	C₂²×C₁₃₉	semidirect
647. #391	C₂²×C₁₃₉	semidirect
650. #389	C₂²×C₁₃₉	semidirect
651. #389	C₂²×C₁₃₉	semidirect
652. #389	C₂²×C₁₃₉	semidirect
653. #389	C₂²×C₁₃₉	semidirect
654. #388	C₂²×C₁₃₉	semidirect
655. #387	C₂²×C₁₃₉	semidirect
656. #387	C₂²×C₁₃₉	semidirect
657. #387	C₂²×C₁₃₉	semidirect
660. #386	C₂²×C₁₃₉	semidirect
661. #386	C₂²×C₁₃₉	semidirect
662. #386	C₂²×C₁₃₉	semidirect
663. #386	C₂²×C₁₃₉	semidirect
664. #386	C₂²×C₁₃₉	semidirect
665. #385	C₂²×C₁₃₉	semidirect
666. #385	C₂²×C₁₃₉	semidirect
667. #385	C₂²×C₁₃₉	semidirect
668. #385	C₂²×C₁₃₉	semidirect
669. #385	C₂²×C₁₃₉	semidirect
670. #385	C₂²×C₁₃₉	semidirect
671. #385	C₂²×C₁₃₉	semidirect
672. #384	C₂²×C₁₃₉	semidirect
673. #382	C₂²×C₁₃₉	semidirect
674. #381	C₂²×C₁₃₉	semidirect
675. #381	C₂²×C₁₃₉	semidirect
676. #381	C₂²×C₁₃₉	semidirect
677. #381	C₂²×C₁₃₉	semidirect
678. #381	C₂²×C₁₃₉	semidirect
680. #380	C₂²×C₁₃₉	semidirect
681. #380	C₂²×C₁₃₉	semidirect
682. #380	C₂²×C₁₃₉	semidirect
683. #380	C₂²×C₁₃₉	semidirect
685. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
686. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
688. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
689. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
690. C₂×#95	C₂²×C₁₃₉	semidirect
691. C₂×#95	C₂²×C₁₃₉	semidirect
692. C₂×#95	C₂²×C₁₃₉	semidirect
1001. D₄	#123×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#546×C₁₃₉	2
C₂×#518×C₁₃₉	2
#2625×C₁₃₉	2
#2622×C₁₃₉	2
#2499×C₁₃₉	2
#2485×C₁₃₉	2
#2483×C₁₃₉	2
#2447×C₁₃₉	2
#2444×C₁₃₉	2
#2443×C₁₃₉	2
#2422×C₁₃₉	2
#2420×C₁₃₉	2
#2419×C₁₃₉	2
#2412×C₁₃₉	2
#2395×C₁₃₉	2
C₂×#397×C₁₃₉	2
#2349×C₁₃₉	2
D₄×C₄⋊C₄×C₁₃₉	2
#2339×C₁₃₉	2
D₄×C₂²⋊C₄×C₁₃₉	2
#35791	139

Subgroups — C139×#35791 #48030387

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#35791 #48030387