Subgroups — C₁₃₉×#36190 #48030786

Order 35584.

2108 conjugacy classes of subgroups.

The subgroup lattice has 1062 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2857×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#2855×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2848×C₁₃₉	C₂	1	1	yes	maximal, characteristic
4	#2574×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2569×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2522×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2505×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2502×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2497×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2497×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
11	#2492×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2440×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2438×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2437×C₁₃₉	C₂	1	2	yes	maximal
15	#2423×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2368×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2360×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2345×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2342×C₁₃₉	C₂	1	2	yes	maximal
20	C₄×C₂²⋊Q₈×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2285×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#380×C₁₃₉	C₂	1	1	yes	maximal, characteristic
23	C₂×C₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic
24	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
25	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
27	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
28	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
29	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
30	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
31	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
32	C₂×#117×C₁₃₉	C₂²	1	2	yes	—
33	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
37	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
40	#400×C₁₃₉	C₂²	1	2	yes	complemented
41	#400×C₁₃₉	C₂²	1	2	yes	complemented
42	#400×C₁₃₉	C₂²	1	2	yes	complemented
43	#399×C₁₃₉	C₂²	1	2	yes	—
44	#398×C₁₃₉	C₂²	1	2	yes	complemented
45	#398×C₁₃₉	C₂²	1	2	yes	complemented
46	#398×C₁₃₉	C₂²	1	2	yes	complemented
47	#398×C₁₃₉	C₂²	1	2	yes	complemented
48	#396×C₁₃₉	C₂²	1	2	yes	—
49	#396×C₁₃₉	C₂²	1	2	yes	—
50	#395×C₁₃₉	C₂²	1	2	yes	complemented
51	#393×C₁₃₉	C₂²	1	2	yes	—
52	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
53	#391×C₁₃₉	C₂²	1	2	yes	complemented
54	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
55	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
56	#391×C₁₃₉	C₂²	1	2	yes	complemented
57	#389×C₁₃₉	C₂²	1	2	yes	complemented
58	#389×C₁₃₉	C₂²	1	2	yes	complemented
59	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
60	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
61	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
62	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
63	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
64	#388×C₁₃₉	C₂²	1	2	yes	—
65	#388×C₁₃₉	C₂²	1	2	yes	—
66	#388×C₁₃₉	C₂²	1	2	yes	—
67	#388×C₁₃₉	C₂²	1	2	yes	—
68	#387×C₁₃₉	C₂²	1	2	yes	complemented
69	#387×C₁₃₉	C₂²	1	2	yes	complemented
70	#387×C₁₃₉	C₂²	1	2	yes	complemented
71	#387×C₁₃₉	C₂²	1	2	yes	complemented
72	#387×C₁₃₉	C₂²	1	2	yes	complemented
73	#387×C₁₃₉	C₂²	1	2	yes	complemented
74	#387×C₁₃₉	C₂²	1	2	yes	complemented
75	#387×C₁₃₉	C₂²	1	2	yes	complemented
76	#387×C₁₃₉	C₂²	1	2	yes	complemented
77	#385×C₁₃₉	C₂²	1	2	yes	—
78	#385×C₁₃₉	C₂²	1	2	yes	—
79	#385×C₁₃₉	C₂²	1	2	yes	—
80	#385×C₁₃₉	C₂²	1	2	yes	—
81	#385×C₁₃₉	C₂²	1	2	yes	—
82	#385×C₁₃₉	C₂²	1	2	yes	—
83	#385×C₁₃₉	C₂²	1	2	yes	—
84	#385×C₁₃₉	C₂²	1	2	yes	—
85	#385×C₁₃₉	C₂²	1	2	yes	—
86	#384×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
87	#384×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
88	#384×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
89	#382×C₁₃₉	C₂²	1	2	yes	complemented
90	#381×C₁₃₉	C₂²	1	2	yes	—
91	#380×C₁₃₉	C₂²	1	2	yes	—
92	#380×C₁₃₉	C₂²	1	1	yes	characteristic
93	#380×C₁₃₉	C₂²	1	2	yes	—
94	#380×C₁₃₉	C₂²	1	1	yes	characteristic
95	#380×C₁₃₉	C₂²	1	1	yes	characteristic
96	#380×C₁₃₉	C₂²	1	1	yes	characteristic
97	#380×C₁₃₉	C₂²	1	2	yes	—
98	#380×C₁₃₉	C₂²	1	1	yes	characteristic
99	#380×C₁₃₉	C₂²	1	2	yes	—
100	#380×C₁₃₉	C₂²	1	1	yes	characteristic
101	#380×C₁₃₉	C₂²	1	1	yes	characteristic
102	#380×C₁₃₉	C₂²	1	2	yes	—
103	#379×C₁₃₉	C₂²	1	2	yes	—
104	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
105	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
106	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
107	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
108	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
109	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
110	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
111	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
112	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
113	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
114	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
115	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
116	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
117	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
118	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
120	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
121	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
122	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
123	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
124	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
125	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
126	C₂³×C₄×C₁₃₉	—	2	4	no	—
127	C₂³×C₄×C₁₃₉	—	2	4	no	—
128	C₂³×C₄×C₁₃₉	—	4	2	no	—
129	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
130	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
131	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
132	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
134	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
135	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
136	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
137	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
139	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
140	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
141	C₄⋊Q₈×C₁₃₉	—	4	2	no	—
142	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
143	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
144	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
145	C₂²⋊Q₈×C₁₃₉	—	4	4	no	—
146	C₂²⋊Q₈×C₁₃₉	—	4	2	no	—
147	C₄×Q₈×C₁₃₉	—	4	2	no	—
148	#117×C₁₃₉	—	4	4	no	—
149	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
150	C₂×C₄⋊C₄×C₁₃₉	—	4	2	no	—
151	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
152	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
153	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
154	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
155	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
156	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
157	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
158	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
159	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
160	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
161	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
162	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
163	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
164	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
165	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
166	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
167	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
168	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
169	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
170	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
171	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
172	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
173	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
174	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
175	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
176	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
177	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
178	C₂×C₂²⋊C₄×C₁₃₉	Q₈	1	8	yes	complemented
179	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
180	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
181	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
182	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
183	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
184	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
185	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
186	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
187	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
188	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
189	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
190	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
191	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
192	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
193	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
194	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
195	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
196	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
197	C₂×C₄²×C₁₃₉	—	2	4	no	—
198	C₂×C₄²×C₁₃₉	—	4	2	no	—
199	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
200	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
201	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
202	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
203	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
204	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
205	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
208	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
209	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
210	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
211	#95×C₁₃₉	C₂³	1	1	yes	characteristic
212	#95×C₁₃₉	C₂³	1	2	yes	—
213	#95×C₁₃₉	C₂³	1	2	yes	—
214	#95×C₁₃₉	C₂³	1	2	yes	—
215	#95×C₁₃₉	C₂³	1	2	yes	—
216	#95×C₁₃₉	C₂³	1	1	yes	characteristic
217	#95×C₁₃₉	C₂³	1	1	yes	characteristic
218	#95×C₁₃₉	C₂³	1	2	yes	—
219	#95×C₁₃₉	C₂³	1	2	yes	—
220	#95×C₁₃₉	C₂³	1	2	yes	—
221	#95×C₁₃₉	C₂³	1	2	yes	—
222	#95×C₁₃₉	C₂³	1	2	yes	—
223	#95×C₁₃₉	C₂³	1	2	yes	—
224	#95×C₁₃₉	C₂³	1	1	yes	characteristic
225	#95×C₁₃₉	C₂³	1	2	yes	—
226	#95×C₁₃₉	C₂³	1	2	yes	—
227	#95×C₁₃₉	C₂³	1	2	yes	—
228	#95×C₁₃₉	C₂³	1	2	yes	—
229	#95×C₁₃₉	C₂³	1	1	yes	characteristic
230	#95×C₁₃₉	C₂³	1	1	yes	characteristic
231	#95×C₁₃₉	C₂³	1	1	yes	characteristic
232	#95×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
240	C₂⁴×C₁₃₉	—	2	2	no	—
241	C₂⁴×C₁₃₉	—	2	2	no	—
242	C₂⁴×C₁₃₉	—	2	2	no	—
243	C₂⁴×C₁₃₉	—	2	2	no	—
244	C₂⁴×C₁₃₉	—	4	1	no	—
245	C₂⁴×C₁₃₉	—	4	1	no	—
246	C₂⁴×C₁₃₉	C₂×Q₈	1	4	yes	—
247	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
248	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
249	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
250	C₂×Q₈×C₁₃₉	—	2	2	no	—
251	C₂×Q₈×C₁₃₉	—	2	2	no	—
252	C₂×Q₈×C₁₃₉	—	2	4	no	—
253	C₂×Q₈×C₁₃₉	—	2	2	no	—
254	C₂×Q₈×C₁₃₉	—	4	2	no	—
255	C₂×Q₈×C₁₃₉	—	4	2	no	—
256	C₂²×C₄×C₁₃₉	—	2	2	no	—
257	C₂²×C₄×C₁₃₉	—	2	2	no	—
258	C₂²×C₄×C₁₃₉	—	2	2	no	—
259	C₂²×C₄×C₁₃₉	—	2	2	no	—
260	C₂²×C₄×C₁₃₉	—	2	2	no	—
261	C₂²×C₄×C₁₃₉	—	2	2	no	—
262	C₂²×C₄×C₁₃₉	—	2	2	no	—
263	C₂²×C₄×C₁₃₉	—	2	2	no	—
264	C₂²×C₄×C₁₃₉	—	2	2	no	—
265	C₂²×C₄×C₁₃₉	—	2	2	no	—
266	C₂²×C₄×C₁₃₉	—	2	4	no	—
267	C₂²×C₄×C₁₃₉	—	2	4	no	—
268	C₂²×C₄×C₁₃₉	—	2	2	no	—
269	C₂²×C₄×C₁₃₉	—	2	2	no	—
270	C₂²×C₄×C₁₃₉	—	2	2	no	—
271	C₂²×C₄×C₁₃₉	—	2	2	no	—
272	C₂²×C₄×C₁₃₉	—	2	2	no	—
273	C₂²×C₄×C₁₃₉	—	2	2	no	—
274	C₂²×C₄×C₁₃₉	—	2	2	no	—
275	C₂²×C₄×C₁₃₉	—	2	2	no	—
276	C₂²×C₄×C₁₃₉	—	2	2	no	—
277	C₂²×C₄×C₁₃₉	—	4	1	no	—
278	C₂²×C₄×C₁₃₉	—	4	1	no	—
279	C₂²×C₄×C₁₃₉	—	4	1	no	—
280	C₂²×C₄×C₁₃₉	—	4	1	no	—
281	C₂²×C₄×C₁₃₉	—	4	1	no	—
282	C₂²×C₄×C₁₃₉	—	4	1	no	—
283	C₂²×C₄×C₁₃₉	—	4	1	no	—
284	C₂²×C₄×C₁₃₉	—	4	16	no	—
285	C₂²×C₄×C₁₃₉	—	4	2	no	—
286	C₂²×C₄×C₁₃₉	—	4	2	no	—
287	C₂²×C₄×C₁₃₉	—	4	2	no	—
288	C₂²×C₄×C₁₃₉	—	4	2	no	—
289	C₂²×C₄×C₁₃₉	C₂×Q₈	1	4	yes	—
290	C₂²×C₄×C₁₃₉	C₂×Q₈	1	4	yes	—
291	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
292	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
293	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
294	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
295	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
296	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
297	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
298	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
299	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
300	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
301	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
302	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
303	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
304	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
306	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
308	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
309	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
310	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
311	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
312	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
313	C₄⋊C₄×C₁₃₉	—	2	4	no	—
314	C₄⋊C₄×C₁₃₉	—	2	2	no	—
315	C₄⋊C₄×C₁₃₉	—	2	2	no	—
316	C₄⋊C₄×C₁₃₉	—	2	2	no	—
317	C₄⋊C₄×C₁₃₉	—	2	2	no	—
318	C₄⋊C₄×C₁₃₉	—	2	4	no	—
319	C₄⋊C₄×C₁₃₉	—	2	4	no	—
320	C₄⋊C₄×C₁₃₉	—	2	4	no	—
321	C₄⋊C₄×C₁₃₉	—	2	4	no	—
322	C₄⋊C₄×C₁₃₉	—	2	4	no	—
323	C₄⋊C₄×C₁₃₉	—	2	2	no	—
324	C₄⋊C₄×C₁₃₉	—	2	2	no	—
325	C₄⋊C₄×C₁₃₉	—	2	2	no	—
326	C₄⋊C₄×C₁₃₉	—	4	2	no	—
327	C₄⋊C₄×C₁₃₉	—	4	2	no	—
328	C₄⋊C₄×C₁₃₉	—	4	2	no	—
329	C₄⋊C₄×C₁₃₉	—	4	2	no	—
330	C₄⋊C₄×C₁₃₉	—	4	2	no	—
331	C₄⋊C₄×C₁₃₉	—	4	2	no	—
332	C₄⋊C₄×C₁₃₉	—	4	2	no	—
333	C₄⋊C₄×C₁₃₉	—	4	2	no	—
334	C₄⋊C₄×C₁₃₉	—	4	2	no	—
335	C₄⋊C₄×C₁₃₉	—	4	2	no	—
336	C₄⋊C₄×C₁₃₉	—	4	2	no	—
337	C₄⋊C₄×C₁₃₉	—	4	2	no	—
338	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
339	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
340	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
341	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
342	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
343	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
344	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
345	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
346	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
347	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
348	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
349	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
350	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
351	C₂²⋊C₄×C₁₃₉	C₂×Q₈	1	4	yes	—
352	C₂²⋊C₄×C₁₃₉	C₂×Q₈	1	4	yes	—
353	C₂²⋊C₄×C₁₃₉	C₂×Q₈	1	4	yes	—
354	C₂²⋊C₄×C₁₃₉	C₂×Q₈	1	4	yes	—
355	C₂²⋊C₄×C₁₃₉	#41	1	4	yes	—
356	C₄²×C₁₃₉	—	2	2	no	—
357	C₄²×C₁₃₉	—	2	2	no	—
358	C₄²×C₁₃₉	—	2	2	no	—
359	C₄²×C₁₃₉	—	2	2	no	—
360	C₄²×C₁₃₉	—	2	2	no	—
361	C₄²×C₁₃₉	—	2	2	no	—
362	C₄²×C₁₃₉	—	4	1	no	—
363	C₄²×C₁₃₉	—	4	1	no	—
364	C₄²×C₁₃₉	—	4	2	no	—
365	C₄²×C₁₃₉	—	4	2	no	—
366	C₄²×C₁₃₉	—	4	2	no	—
367	C₄²×C₁₃₉	—	4	2	no	—
368	C₂³×C₁₃₉	—	2	1	no	—
369	C₂³×C₁₃₉	—	2	1	no	—
370	C₂³×C₁₃₉	—	2	1	no	—
371	C₂³×C₁₃₉	—	2	1	no	—
372	C₂³×C₁₃₉	—	2	1	no	—
373	C₂³×C₁₃₉	—	2	1	no	—
374	C₂³×C₁₃₉	—	2	1	no	—
375	C₂³×C₁₃₉	—	2	1	no	—
376	C₂³×C₁₃₉	—	2	8	no	—
377	C₂³×C₁₃₉	—	2	8	no	—
378	C₂³×C₁₃₉	—	2	1	no	—
379	C₂³×C₁₃₉	—	2	1	no	—
380	C₂³×C₁₃₉	—	2	1	no	—
381	C₂³×C₁₃₉	—	2	1	no	—
382	C₂³×C₁₃₉	—	2	1	no	—
383	C₂³×C₁₃₉	—	2	1	no	—
384	C₂³×C₁₃₉	—	4	4	no	—
385	C₂³×C₁₃₉	—	4	4	no	—
386	C₂³×C₁₃₉	—	4	4	no	—
387	C₂³×C₁₃₉	—	4	4	no	—
388	C₂³×C₁₃₉	—	4	4	no	—
389	C₂³×C₁₃₉	C₂²×Q₈	1	2	yes	—
390	C₂³×C₁₃₉	C₂²×Q₈	1	2	yes	—
391	C₂³×C₁₃₉	C₂²×Q₈	1	2	yes	—
392	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
393	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
394	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
395	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
396	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
397	Q₈×C₁₃₉	—	4	4	no	—
398	Q₈×C₁₃₉	—	8	4	no	—
399	C₂×C₄×C₁₃₉	—	2	8	no	—
400	C₂×C₄×C₁₃₉	—	2	1	no	—
401	C₂×C₄×C₁₃₉	—	2	1	no	—
402	C₂×C₄×C₁₃₉	—	2	1	no	—
403	C₂×C₄×C₁₃₉	—	2	1	no	—
404	C₂×C₄×C₁₃₉	—	2	1	no	—
405	C₂×C₄×C₁₃₉	—	2	1	no	—
406	C₂×C₄×C₁₃₉	—	2	1	no	—
407	C₂×C₄×C₁₃₉	—	2	1	no	—
408	C₂×C₄×C₁₃₉	—	2	1	no	—
409	C₂×C₄×C₁₃₉	—	2	1	no	—
410	C₂×C₄×C₁₃₉	—	2	1	no	—
411	C₂×C₄×C₁₃₉	—	2	1	no	—
412	C₂×C₄×C₁₃₉	—	2	1	no	—
413	C₂×C₄×C₁₃₉	—	2	1	no	—
414	C₂×C₄×C₁₃₉	—	2	1	no	—
415	C₂×C₄×C₁₃₉	—	2	1	no	—
416	C₂×C₄×C₁₃₉	—	2	8	no	—
417	C₂×C₄×C₁₃₉	—	2	8	no	—
418	C₂×C₄×C₁₃₉	—	2	1	no	—
419	C₂×C₄×C₁₃₉	—	2	1	no	—
420	C₂×C₄×C₁₃₉	—	2	1	no	—
421	C₂×C₄×C₁₃₉	—	2	2	no	—
422	C₂×C₄×C₁₃₉	—	2	2	no	—
423	C₂×C₄×C₁₃₉	—	2	2	no	—
424	C₂×C₄×C₁₃₉	—	2	2	no	—
425	C₂×C₄×C₁₃₉	—	2	2	no	—
426	C₂×C₄×C₁₃₉	—	2	2	no	—
427	C₂×C₄×C₁₃₉	—	2	2	no	—
428	C₂×C₄×C₁₃₉	—	2	2	no	—
429	C₂×C₄×C₁₃₉	—	2	2	no	—
430	C₂×C₄×C₁₃₉	—	2	2	no	—
431	C₂×C₄×C₁₃₉	—	2	1	no	—
432	C₂×C₄×C₁₃₉	—	2	1	no	—
433	C₂×C₄×C₁₃₉	—	2	1	no	—
434	C₂×C₄×C₁₃₉	—	2	2	no	—
435	C₂×C₄×C₁₃₉	—	2	2	no	—
436	C₂×C₄×C₁₃₉	—	2	2	no	—
437	C₂×C₄×C₁₃₉	—	2	2	no	—
438	C₂×C₄×C₁₃₉	—	2	2	no	—
439	C₂×C₄×C₁₃₉	—	2	2	no	—
440	C₂×C₄×C₁₃₉	—	2	2	no	—
441	C₂×C₄×C₁₃₉	—	2	2	no	—
442	C₂×C₄×C₁₃₉	—	2	2	no	—
443	C₂×C₄×C₁₃₉	—	2	2	no	—
444	C₂×C₄×C₁₃₉	—	2	1	no	—
445	C₂×C₄×C₁₃₉	—	2	1	no	—
446	C₂×C₄×C₁₃₉	—	2	2	no	—
447	C₂×C₄×C₁₃₉	—	2	2	no	—
448	C₂×C₄×C₁₃₉	—	2	2	no	—
449	C₂×C₄×C₁₃₉	—	2	1	no	—
450	C₂×C₄×C₁₃₉	—	2	2	no	—
451	C₂×C₄×C₁₃₉	—	4	4	no	—
452	C₂×C₄×C₁₃₉	—	4	4	no	—
453	C₂×C₄×C₁₃₉	—	4	4	no	—
454	C₂×C₄×C₁₃₉	—	4	4	no	—
455	C₂×C₄×C₁₃₉	—	4	4	no	—
456	C₂×C₄×C₁₃₉	—	4	4	no	—
457	C₂×C₄×C₁₃₉	—	4	4	no	—
458	C₂×C₄×C₁₃₉	—	8	4	no	—
459	C₂×C₄×C₁₃₉	—	8	4	no	—
460	C₂×C₄×C₁₃₉	C₂²×Q₈	1	2	yes	—
461	C₂×C₄×C₁₃₉	C₂²×Q₈	1	2	yes	—
462	C₂×C₄×C₁₃₉	C₂²×Q₈	1	2	yes	—
463	C₂×C₄×C₁₃₉	C₂²×Q₈	1	2	yes	—
464	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
465	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
466	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
467	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
468	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
469	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
470	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
471	C₂²×C₁₃₉	—	2	2	no	—
472	C₂²×C₁₃₉	—	2	2	no	—
473	C₂²×C₁₃₉	—	2	2	no	—
474	C₂²×C₁₃₉	—	2	2	no	—
475	C₂²×C₁₃₉	—	2	2	no	—
476	C₂²×C₁₃₉	—	2	2	no	—
477	C₂²×C₁₃₉	—	2	2	no	—
478	C₂²×C₁₃₉	—	2	2	no	—
479	C₂²×C₁₃₉	—	2	2	no	—
480	C₂²×C₁₃₉	—	2	2	no	—
481	C₂²×C₁₃₉	—	2	2	no	—
482	C₂²×C₁₃₉	—	2	2	no	—
483	C₂²×C₁₃₉	—	2	2	no	—
484	C₂²×C₁₃₉	—	2	2	no	—
485	C₂²×C₁₃₉	—	2	2	no	—
486	C₂²×C₁₃₉	—	4	16	no	—
487	C₂²×C₁₃₉	—	4	1	no	—
488	C₂²×C₁₃₉	—	4	1	no	—
489	C₂²×C₁₃₉	—	4	1	no	—
490	C₂²×C₁₃₉	—	4	1	no	—
491	C₂²×C₁₃₉	#533	1	4	yes	—
492	C₂²×C₁₃₉	#554	1	4	yes	—
493	C₂²×C₁₃₉	C₂³×Q₈	1	1	yes	characteristic
494	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
495	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
496	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
497	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
498	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
499	C₂²×C₁₃₉	#585	1	1	yes	characteristic
500	C₄×C₁₃₉	—	2	2	no	—
501	C₄×C₁₃₉	—	2	2	no	—
502	C₄×C₁₃₉	—	2	2	no	—
503	C₄×C₁₃₉	—	2	2	no	—
504	C₄×C₁₃₉	—	2	2	no	—
505	C₄×C₁₃₉	—	2	2	no	—
506	C₄×C₁₃₉	—	2	2	no	—
507	C₄×C₁₃₉	—	2	2	no	—
508	C₄×C₁₃₉	—	4	1	no	—
509	C₄×C₁₃₉	—	4	2	no	—
510	C₄×C₁₃₉	—	4	2	no	—
511	C₄×C₁₃₉	—	4	1	no	—
512	C₄×C₁₃₉	—	4	2	no	—
513	C₄×C₁₃₉	—	4	2	no	—
514	C₄×C₁₃₉	—	4	2	no	—
515	C₄×C₁₃₉	—	4	1	no	—
516	C₄×C₁₃₉	—	4	2	no	—
517	C₄×C₁₃₉	—	4	2	no	—
518	C₄×C₁₃₉	—	4	2	no	—
519	C₄×C₁₃₉	#551	1	4	yes	—
520	C₂×C₁₃₉	—	2	4	no	—
521	C₂×C₁₃₉	—	2	4	no	—
522	C₂×C₁₃₉	—	4	2	no	—
523	C₂×C₁₃₉	C₂×#533	1	1	yes	characteristic
524	C₂×C₁₃₉	C₂×#551	1	1	yes	characteristic
525	C₂×C₁₃₉	C₂×#554	1	1	yes	characteristic
526	C₂×C₁₃₉	#3475	1	1	yes	characteristic
527	C₂×C₁₃₉	#3494	1	1	yes	characteristic
528	C₂×C₁₃₉	#3501	1	1	yes	characteristic
529	C₂×C₁₃₉	#3519	1	1	yes	characteristic
530	#36190	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
531	C₁₃₉	#36190	1	1	yes	characteristic, direct product factor, Sylow
532	#2857	C₂×C₁₃₉	1	1	yes	characteristic, complemented
533	#2855	C₂×C₁₃₉	1	1	yes	characteristic, complemented
534	#2848	C₂×C₁₃₉	1	1	yes	characteristic
535	#2574	C₂×C₁₃₉	1	2	yes	complemented
536	#2569	C₂×C₁₃₉	1	2	yes	complemented
537	#2522	C₂×C₁₃₉	1	2	yes	complemented
538	#2505	C₂×C₁₃₉	1	2	yes	complemented
539	#2502	C₂×C₁₃₉	1	1	yes	characteristic, complemented
540	#2497	C₂×C₁₃₉	1	1	yes	characteristic, complemented
541	#2497	C₂×C₁₃₉	1	1	yes	characteristic, complemented
542	#2492	C₂×C₁₃₉	1	1	yes	characteristic, complemented
543	#2440	C₂×C₁₃₉	1	1	yes	characteristic, complemented
544	#2438	C₂×C₁₃₉	1	2	yes	complemented
545	#2437	C₂×C₁₃₉	1	2	yes	—
546	#2423	C₂×C₁₃₉	1	1	yes	characteristic, complemented
547	#2368	C₂×C₁₃₉	1	2	yes	complemented
548	#2360	C₂×C₁₃₉	1	1	yes	characteristic, complemented
549	#2345	C₂×C₁₃₉	1	1	yes	characteristic, complemented
550	#2342	C₂×C₁₃₉	1	2	yes	—
551	C₄×C₂²⋊Q₈	C₂×C₁₃₉	1	1	yes	characteristic, complemented
552	#2285	C₂×C₁₃₉	1	1	yes	characteristic, complemented
553	C₂×#380	C₂×C₁₃₉	1	1	yes	characteristic
554	C₂×C₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic
555	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
556	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
557	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
558	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
559	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
560	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
561	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
562	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
563	C₂×#117	C₂²×C₁₃₉	1	2	yes	—
564	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
565	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
566	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
567	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
568	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
569	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
570	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
571	#400	C₂²×C₁₃₉	1	2	yes	complemented
572	#400	C₂²×C₁₃₉	1	2	yes	complemented
573	#400	C₂²×C₁₃₉	1	2	yes	complemented
574	#399	C₂²×C₁₃₉	1	2	yes	—
575	#398	C₂²×C₁₃₉	1	2	yes	complemented
576	#398	C₂²×C₁₃₉	1	2	yes	complemented
577	#398	C₂²×C₁₃₉	1	2	yes	complemented
578	#398	C₂²×C₁₃₉	1	2	yes	complemented
579	#396	C₂²×C₁₃₉	1	2	yes	—
580	#396	C₂²×C₁₃₉	1	2	yes	—
581	#395	C₂²×C₁₃₉	1	2	yes	complemented
582	#393	C₂²×C₁₃₉	1	2	yes	—
583	#391	C₂²×C₁₃₉	1	2	yes	complemented
584	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
585	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
586	#391	C₂²×C₁₃₉	1	2	yes	complemented
587	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
588	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
589	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
590	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
591	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
592	#389	C₂²×C₁₃₉	1	2	yes	complemented
593	#389	C₂²×C₁₃₉	1	2	yes	complemented
594	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
595	#388	C₂²×C₁₃₉	1	2	yes	—
596	#388	C₂²×C₁₃₉	1	2	yes	—
597	#388	C₂²×C₁₃₉	1	2	yes	—
598	#388	C₂²×C₁₃₉	1	2	yes	—
599	#387	C₂²×C₁₃₉	1	2	yes	complemented
600	#387	C₂²×C₁₃₉	1	2	yes	complemented
601	#387	C₂²×C₁₃₉	1	2	yes	complemented
602	#387	C₂²×C₁₃₉	1	2	yes	complemented
603	#387	C₂²×C₁₃₉	1	2	yes	complemented
604	#387	C₂²×C₁₃₉	1	2	yes	complemented
605	#387	C₂²×C₁₃₉	1	2	yes	complemented
606	#387	C₂²×C₁₃₉	1	2	yes	complemented
607	#387	C₂²×C₁₃₉	1	2	yes	complemented
608	#385	C₂²×C₁₃₉	1	2	yes	—
609	#385	C₂²×C₁₃₉	1	2	yes	—
610	#385	C₂²×C₁₃₉	1	2	yes	—
611	#385	C₂²×C₁₃₉	1	2	yes	—
612	#385	C₂²×C₁₃₉	1	2	yes	—
613	#385	C₂²×C₁₃₉	1	2	yes	—
614	#385	C₂²×C₁₃₉	1	2	yes	—
615	#385	C₂²×C₁₃₉	1	2	yes	—
616	#385	C₂²×C₁₃₉	1	2	yes	—
617	#384	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
618	#384	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
619	#384	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
620	#382	C₂²×C₁₃₉	1	2	yes	complemented
621	#381	C₂²×C₁₃₉	1	2	yes	—
622	#380	C₂²×C₁₃₉	1	2	yes	—
623	#380	C₂²×C₁₃₉	1	2	yes	—
624	#380	C₂²×C₁₃₉	1	2	yes	—
625	#380	C₂²×C₁₃₉	1	2	yes	—
626	#380	C₂²×C₁₃₉	1	1	yes	characteristic
627	#380	C₂²×C₁₃₉	1	1	yes	characteristic
628	#380	C₂²×C₁₃₉	1	1	yes	characteristic
629	#380	C₂²×C₁₃₉	1	1	yes	characteristic
630	#380	C₂²×C₁₃₉	1	2	yes	—
631	#380	C₂²×C₁₃₉	1	1	yes	characteristic
632	#380	C₂²×C₁₃₉	1	1	yes	characteristic
633	#380	C₂²×C₁₃₉	1	1	yes	characteristic
634	#379	C₂²×C₁₃₉	1	2	yes	—
635	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
636	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
637	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
638	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
639	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
640	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
641	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
642	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
643	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
644	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
645	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
646	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
647	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
648	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
649	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
650	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
651	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
652	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
653	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
654	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
655	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
656	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
657	C₂³×C₄	—	2	4	no	—
658	C₂³×C₄	—	2	4	no	—
659	C₂³×C₄	—	4	2	no	—
660	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
661	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
662	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
663	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
664	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
665	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
666	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
667	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
668	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
669	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
670	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
671	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
672	C₄⋊Q₈	—	4	2	no	—
673	C₂²⋊Q₈	—	2	4	no	—
674	C₂²⋊Q₈	—	2	4	no	—
675	C₂²⋊Q₈	—	2	8	no	—
676	C₂²⋊Q₈	—	4	4	no	—
677	C₂²⋊Q₈	—	4	2	no	—
678	C₄×Q₈	—	4	2	no	—
679	#117	—	4	4	no	—
680	C₂×C₄⋊C₄	—	2	4	no	—
681	C₂×C₄⋊C₄	—	4	2	no	—
682	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
683	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
684	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
685	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
686	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
687	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
688	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
689	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
690	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
691	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
692	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
693	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
694	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
695	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
696	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
697	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
698	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
699	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
700	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
701	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
702	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
703	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
704	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
705	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
706	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
707	C₂×C₂²⋊C₄	—	2	4	no	—
708	C₂×C₂²⋊C₄	—	4	4	no	—
709	C₂×C₂²⋊C₄	Q₈×C₁₃₉	1	8	yes	complemented
710	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
711	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
712	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
713	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
714	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
715	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
716	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
717	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
718	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
719	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
720	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
721	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
722	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
723	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
724	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
725	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
726	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
727	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
728	C₂×C₄²	—	2	4	no	—
729	C₂×C₄²	—	4	2	no	—
730	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
731	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
732	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
733	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
734	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
735	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
736	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
737	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
738	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
739	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
740	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
741	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
742	#95	C₂³×C₁₃₉	1	1	yes	characteristic
743	#95	C₂³×C₁₃₉	1	1	yes	characteristic
744	#95	C₂³×C₁₃₉	1	1	yes	characteristic
745	#95	C₂³×C₁₃₉	1	1	yes	characteristic
746	#95	C₂³×C₁₃₉	1	1	yes	characteristic
747	#95	C₂³×C₁₃₉	1	1	yes	characteristic
748	#95	C₂³×C₁₃₉	1	1	yes	characteristic
749	#95	C₂³×C₁₃₉	1	1	yes	characteristic
750	#95	C₂³×C₁₃₉	1	2	yes	—
751	#95	C₂³×C₁₃₉	1	2	yes	—
752	#95	C₂³×C₁₃₉	1	2	yes	—
753	#95	C₂³×C₁₃₉	1	2	yes	—
754	#95	C₂³×C₁₃₉	1	2	yes	—
755	#95	C₂³×C₁₃₉	1	2	yes	—
756	#95	C₂³×C₁₃₉	1	2	yes	—
757	#95	C₂³×C₁₃₉	1	2	yes	—
758	#95	C₂³×C₁₃₉	1	2	yes	—
759	#95	C₂³×C₁₃₉	1	2	yes	—
760	#95	C₂³×C₁₃₉	1	2	yes	—
761	#95	C₂³×C₁₃₉	1	2	yes	—
762	#95	C₂³×C₁₃₉	1	2	yes	—
763	#95	C₂³×C₁₃₉	1	2	yes	—
764	#95	C₂³×C₁₃₉	1	2	yes	—
765	#95	C₂³×C₁₃₉	1	2	yes	—
766	#95	C₂³×C₁₃₉	1	2	yes	—
767	#95	C₂³×C₁₃₉	1	2	yes	—
768	#95	C₂³×C₁₃₉	1	2	yes	—
769	#95	C₂³×C₁₃₉	1	2	yes	—
770	#95	C₂³×C₁₃₉	1	2	yes	—
771	C₂⁴	—	2	2	no	—
772	C₂⁴	—	2	2	no	—
773	C₂⁴	—	2	2	no	—
774	C₂⁴	—	2	2	no	—
775	C₂⁴	—	4	1	no	—
776	C₂⁴	—	4	1	no	—
777	C₂⁴	C₂×Q₈×C₁₃₉	1	4	yes	—
778	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
779	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
780	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
781	C₂×Q₈	—	2	2	no	—
782	C₂×Q₈	—	2	2	no	—
783	C₂×Q₈	—	2	4	no	—
784	C₂×Q₈	—	2	2	no	—
785	C₂×Q₈	—	4	2	no	—
786	C₂×Q₈	—	4	2	no	—
787	C₂²×C₄	—	2	2	no	—
788	C₂²×C₄	—	2	2	no	—
789	C₂²×C₄	—	2	2	no	—
790	C₂²×C₄	—	2	2	no	—
791	C₂²×C₄	—	2	2	no	—
792	C₂²×C₄	—	2	2	no	—
793	C₂²×C₄	—	2	2	no	—
794	C₂²×C₄	—	2	2	no	—
795	C₂²×C₄	—	2	2	no	—
796	C₂²×C₄	—	2	2	no	—
797	C₂²×C₄	—	2	4	no	—
798	C₂²×C₄	—	2	4	no	—
799	C₂²×C₄	—	2	2	no	—
800	C₂²×C₄	—	2	2	no	—
801	C₂²×C₄	—	2	2	no	—
802	C₂²×C₄	—	2	2	no	—
803	C₂²×C₄	—	2	2	no	—
804	C₂²×C₄	—	2	2	no	—
805	C₂²×C₄	—	2	2	no	—
806	C₂²×C₄	—	2	2	no	—
807	C₂²×C₄	—	2	2	no	—
808	C₂²×C₄	—	4	1	no	—
809	C₂²×C₄	—	4	1	no	—
810	C₂²×C₄	—	4	1	no	—
811	C₂²×C₄	—	4	1	no	—
812	C₂²×C₄	—	4	1	no	—
813	C₂²×C₄	—	4	1	no	—
814	C₂²×C₄	—	4	1	no	—
815	C₂²×C₄	—	4	16	no	—
816	C₂²×C₄	—	4	2	no	—
817	C₂²×C₄	—	4	2	no	—
818	C₂²×C₄	—	4	2	no	—
819	C₂²×C₄	—	4	2	no	—
820	C₂²×C₄	C₂×Q₈×C₁₃₉	1	4	yes	—
821	C₂²×C₄	C₂×Q₈×C₁₃₉	1	4	yes	—
822	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
823	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
824	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
825	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
826	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
827	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
828	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
829	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
830	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
831	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
832	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
833	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
834	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
835	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
836	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
837	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
838	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
839	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
840	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
841	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
842	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
843	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
844	C₄⋊C₄	—	2	4	no	—
845	C₄⋊C₄	—	2	2	no	—
846	C₄⋊C₄	—	2	2	no	—
847	C₄⋊C₄	—	2	2	no	—
848	C₄⋊C₄	—	2	2	no	—
849	C₄⋊C₄	—	2	4	no	—
850	C₄⋊C₄	—	2	4	no	—
851	C₄⋊C₄	—	2	4	no	—
852	C₄⋊C₄	—	2	4	no	—
853	C₄⋊C₄	—	2	4	no	—
854	C₄⋊C₄	—	2	2	no	—
855	C₄⋊C₄	—	2	2	no	—
856	C₄⋊C₄	—	2	2	no	—
857	C₄⋊C₄	—	4	2	no	—
858	C₄⋊C₄	—	4	2	no	—
859	C₄⋊C₄	—	4	2	no	—
860	C₄⋊C₄	—	4	2	no	—
861	C₄⋊C₄	—	4	2	no	—
862	C₄⋊C₄	—	4	2	no	—
863	C₄⋊C₄	—	4	2	no	—
864	C₄⋊C₄	—	4	2	no	—
865	C₄⋊C₄	—	4	2	no	—
866	C₄⋊C₄	—	4	2	no	—
867	C₄⋊C₄	—	4	2	no	—
868	C₄⋊C₄	—	4	2	no	—
869	C₂²⋊C₄	—	2	2	no	—
870	C₂²⋊C₄	—	2	4	no	—
871	C₂²⋊C₄	—	2	4	no	—
872	C₂²⋊C₄	—	2	4	no	—
873	C₂²⋊C₄	—	2	4	no	—
874	C₂²⋊C₄	—	2	4	no	—
875	C₂²⋊C₄	—	2	4	no	—
876	C₂²⋊C₄	—	2	2	no	—
877	C₂²⋊C₄	—	2	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	C₂×Q₈×C₁₃₉	1	4	yes	—
883	C₂²⋊C₄	C₂×Q₈×C₁₃₉	1	4	yes	—
884	C₂²⋊C₄	C₂×Q₈×C₁₃₉	1	4	yes	—
885	C₂²⋊C₄	C₂×Q₈×C₁₃₉	1	4	yes	—
886	C₂²⋊C₄	#41×C₁₃₉	1	4	yes	—
887	C₄²	—	2	2	no	—
888	C₄²	—	2	2	no	—
889	C₄²	—	2	2	no	—
890	C₄²	—	2	2	no	—
891	C₄²	—	2	2	no	—
892	C₄²	—	2	2	no	—
893	C₄²	—	4	1	no	—
894	C₄²	—	4	1	no	—
895	C₄²	—	4	2	no	—
896	C₄²	—	4	2	no	—
897	C₄²	—	4	2	no	—
898	C₄²	—	4	2	no	—
899	C₂³	—	2	1	no	—
900	C₂³	—	2	1	no	—
901	C₂³	—	2	1	no	—
902	C₂³	—	2	1	no	—
903	C₂³	—	2	1	no	—
904	C₂³	—	2	1	no	—
905	C₂³	—	2	1	no	—
906	C₂³	—	2	1	no	—
907	C₂³	—	2	8	no	—
908	C₂³	—	2	8	no	—
909	C₂³	—	2	1	no	—
910	C₂³	—	2	1	no	—
911	C₂³	—	2	1	no	—
912	C₂³	—	2	1	no	—
913	C₂³	—	2	1	no	—
914	C₂³	—	2	1	no	—
915	C₂³	—	4	4	no	—
916	C₂³	—	4	4	no	—
917	C₂³	—	4	4	no	—
918	C₂³	—	4	4	no	—
919	C₂³	—	4	4	no	—
920	C₂³	C₂²×Q₈×C₁₃₉	1	2	yes	—
921	C₂³	C₂²×Q₈×C₁₃₉	1	2	yes	—
922	C₂³	C₂²×Q₈×C₁₃₉	1	2	yes	—
923	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
924	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
925	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
926	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
927	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
928	Q₈	—	4	4	no	—
929	Q₈	—	8	4	no	—
930	C₂×C₄	—	2	8	no	—
931	C₂×C₄	—	2	1	no	—
932	C₂×C₄	—	2	1	no	—
933	C₂×C₄	—	2	1	no	—
934	C₂×C₄	—	2	1	no	—
935	C₂×C₄	—	2	1	no	—
936	C₂×C₄	—	2	1	no	—
937	C₂×C₄	—	2	1	no	—
938	C₂×C₄	—	2	1	no	—
939	C₂×C₄	—	2	1	no	—
940	C₂×C₄	—	2	1	no	—
941	C₂×C₄	—	2	1	no	—
942	C₂×C₄	—	2	1	no	—
943	C₂×C₄	—	2	1	no	—
944	C₂×C₄	—	2	1	no	—
945	C₂×C₄	—	2	1	no	—
946	C₂×C₄	—	2	1	no	—
947	C₂×C₄	—	2	8	no	—
948	C₂×C₄	—	2	8	no	—
949	C₂×C₄	—	2	1	no	—
950	C₂×C₄	—	2	1	no	—
951	C₂×C₄	—	2	1	no	—
952	C₂×C₄	—	2	2	no	—
953	C₂×C₄	—	2	2	no	—
954	C₂×C₄	—	2	2	no	—
955	C₂×C₄	—	2	2	no	—
956	C₂×C₄	—	2	2	no	—
957	C₂×C₄	—	2	2	no	—
958	C₂×C₄	—	2	2	no	—
959	C₂×C₄	—	2	2	no	—
960	C₂×C₄	—	2	2	no	—
961	C₂×C₄	—	2	2	no	—
962	C₂×C₄	—	2	1	no	—
963	C₂×C₄	—	2	1	no	—
964	C₂×C₄	—	2	1	no	—
965	C₂×C₄	—	2	2	no	—
966	C₂×C₄	—	2	2	no	—
967	C₂×C₄	—	2	2	no	—
968	C₂×C₄	—	2	2	no	—
969	C₂×C₄	—	2	2	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	2	2	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	2	2	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	1	no	—
977	C₂×C₄	—	2	2	no	—
978	C₂×C₄	—	2	2	no	—
979	C₂×C₄	—	2	2	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	2	no	—
982	C₂×C₄	—	4	4	no	—
983	C₂×C₄	—	4	4	no	—
984	C₂×C₄	—	4	4	no	—
985	C₂×C₄	—	4	4	no	—
986	C₂×C₄	—	4	4	no	—
987	C₂×C₄	—	4	4	no	—
988	C₂×C₄	—	4	4	no	—
989	C₂×C₄	—	8	4	no	—
990	C₂×C₄	—	8	4	no	—
991	C₂×C₄	C₂²×Q₈×C₁₃₉	1	2	yes	—
992	C₂×C₄	C₂²×Q₈×C₁₃₉	1	2	yes	—
993	C₂×C₄	C₂²×Q₈×C₁₃₉	1	2	yes	—
994	C₂×C₄	C₂²×Q₈×C₁₃₉	1	2	yes	—
995	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
996	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
997	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
998	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
999	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1000	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1001	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1002	C₂²	—	2	2	no	—
1003	C₂²	—	2	2	no	—
1004	C₂²	—	2	2	no	—
1005	C₂²	—	2	2	no	—
1006	C₂²	—	2	2	no	—
1007	C₂²	—	2	2	no	—
1008	C₂²	—	2	2	no	—
1009	C₂²	—	2	2	no	—
1010	C₂²	—	2	2	no	—
1011	C₂²	—	2	2	no	—
1012	C₂²	—	2	2	no	—
1013	C₂²	—	2	2	no	—
1014	C₂²	—	2	2	no	—
1015	C₂²	—	2	2	no	—
1016	C₂²	—	2	2	no	—
1017	C₂²	—	4	16	no	—
1018	C₂²	—	4	1	no	—
1019	C₂²	—	4	1	no	—
1020	C₂²	—	4	1	no	—
1021	C₂²	—	4	1	no	—
1022	C₂²	#533×C₁₃₉	1	4	yes	—
1023	C₂²	#554×C₁₃₉	1	4	yes	—
1024	C₂²	C₂³×Q₈×C₁₃₉	1	1	yes	characteristic
1025	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1026	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1027	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1028	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1029	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1030	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1031	C₄	—	2	2	no	—
1032	C₄	—	2	2	no	—
1033	C₄	—	2	2	no	—
1034	C₄	—	2	2	no	—
1035	C₄	—	2	2	no	—
1036	C₄	—	2	2	no	—
1037	C₄	—	2	2	no	—
1038	C₄	—	2	2	no	—
1039	C₄	—	4	1	no	—
1040	C₄	—	4	2	no	—
1041	C₄	—	4	1	no	—
1042	C₄	—	4	2	no	—
1043	C₄	—	4	2	no	—
1044	C₄	—	4	2	no	—
1045	C₄	—	4	2	no	—
1046	C₄	—	4	1	no	—
1047	C₄	—	4	2	no	—
1048	C₄	—	4	2	no	—
1049	C₄	—	4	2	no	—
1050	C₄	#551×C₁₃₉	1	4	yes	—
1051	C₂	—	2	4	no	—
1052	C₂	—	2	4	no	—
1053	C₂	—	4	2	no	—
1054	C₂	C₂×#533×C₁₃₉	1	1	yes	characteristic
1055	C₂	C₂×#551×C₁₃₉	1	1	yes	characteristic
1056	C₂	C₂×#554×C₁₃₉	1	1	yes	characteristic
1057	C₂	#3475×C₁₃₉	1	1	yes	characteristic
1058	C₂	#3494×C₁₃₉	1	1	yes	characteristic
1059	C₂	#3501×C₁₃₉	1	1	yes	characteristic
1060	C₂	#3519×C₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	C₂⁵×C₁₃₉	C₂³
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. #2857×C₁₃₉	C₂	semidirect
2. #2855×C₁₃₉	C₂	semidirect
4. #2574×C₁₃₉	C₂	semidirect
5. #2569×C₁₃₉	C₂	semidirect
6. #2522×C₁₃₉	C₂	semidirect
7. #2505×C₁₃₉	C₂	semidirect
8. #2502×C₁₃₉	C₂	semidirect
9. #2497×C₁₃₉	C₂	semidirect
10. #2497×C₁₃₉	C₂	semidirect
11. #2492×C₁₃₉	C₂	semidirect
12. #2440×C₁₃₉	C₂	semidirect
13. #2438×C₁₃₉	C₂	semidirect
15. #2423×C₁₃₉	C₂	semidirect
16. #2368×C₁₃₉	C₂	semidirect
17. #2360×C₁₃₉	C₂	semidirect
18. #2345×C₁₃₉	C₂	semidirect
20. C₄×C₂²⋊Q₈×C₁₃₉	C₂	semidirect
21. #2285×C₁₃₉	C₂	semidirect
25. C₂×C₄⋊Q₈×C₁₃₉	C₂²	semidirect
31. C₂×C₄×Q₈×C₁₃₉	C₂²	semidirect
40. #400×C₁₃₉	C₂²	semidirect
41. #400×C₁₃₉	C₂²	semidirect
42. #400×C₁₃₉	C₂²	semidirect
44. #398×C₁₃₉	C₂²	semidirect
45. #398×C₁₃₉	C₂²	semidirect
46. #398×C₁₃₉	C₂²	semidirect
47. #398×C₁₃₉	C₂²	semidirect
50. #395×C₁₃₉	C₂²	semidirect
52. #391×C₁₃₉	C₂²	semidirect
53. #391×C₁₃₉	C₂²	semidirect
54. #391×C₁₃₉	C₂²	semidirect
55. #391×C₁₃₉	C₂²	semidirect
56. #391×C₁₃₉	C₂²	semidirect
57. #389×C₁₃₉	C₂²	semidirect
58. #389×C₁₃₉	C₂²	semidirect
59. #389×C₁₃₉	C₂²	semidirect
60. #389×C₁₃₉	C₂²	semidirect
61. #389×C₁₃₉	C₂²	semidirect
62. #389×C₁₃₉	C₂²	semidirect
63. #389×C₁₃₉	C₂²	semidirect
68. #387×C₁₃₉	C₂²	semidirect
69. #387×C₁₃₉	C₂²	semidirect
70. #387×C₁₃₉	C₂²	semidirect
71. #387×C₁₃₉	C₂²	semidirect
72. #387×C₁₃₉	C₂²	semidirect
73. #387×C₁₃₉	C₂²	semidirect
74. #387×C₁₃₉	C₂²	semidirect
75. #387×C₁₃₉	C₂²	semidirect
76. #387×C₁₃₉	C₂²	semidirect
86. #384×C₁₃₉	C₂²	semidirect
87. #384×C₁₃₉	C₂²	semidirect
88. #384×C₁₃₉	C₂²	semidirect
89. #382×C₁₃₉	C₂²	semidirect
104. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
105. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
106. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
107. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
108. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
178. C₂×C₂²⋊C₄×C₁₃₉	Q₈	semidirect
530. #36190	C₁₃₉	direct (N × H)
531. C₁₃₉	#36190	direct (N × H)
532. #2857	C₂×C₁₃₉	semidirect
533. #2855	C₂×C₁₃₉	semidirect
535. #2574	C₂×C₁₃₉	semidirect
536. #2569	C₂×C₁₃₉	semidirect
537. #2522	C₂×C₁₃₉	semidirect
538. #2505	C₂×C₁₃₉	semidirect
539. #2502	C₂×C₁₃₉	semidirect
540. #2497	C₂×C₁₃₉	semidirect
541. #2497	C₂×C₁₃₉	semidirect
542. #2492	C₂×C₁₃₉	semidirect
543. #2440	C₂×C₁₃₉	semidirect
544. #2438	C₂×C₁₃₉	semidirect
546. #2423	C₂×C₁₃₉	semidirect
547. #2368	C₂×C₁₃₉	semidirect
548. #2360	C₂×C₁₃₉	semidirect
549. #2345	C₂×C₁₃₉	semidirect
551. C₄×C₂²⋊Q₈	C₂×C₁₃₉	semidirect
552. #2285	C₂×C₁₃₉	semidirect
556. C₂×C₄⋊Q₈	C₂²×C₁₃₉	semidirect
562. C₂×C₄×Q₈	C₂²×C₁₃₉	semidirect
571. #400	C₂²×C₁₃₉	semidirect
572. #400	C₂²×C₁₃₉	semidirect
573. #400	C₂²×C₁₃₉	semidirect
575. #398	C₂²×C₁₃₉	semidirect
576. #398	C₂²×C₁₃₉	semidirect
577. #398	C₂²×C₁₃₉	semidirect
578. #398	C₂²×C₁₃₉	semidirect
581. #395	C₂²×C₁₃₉	semidirect
583. #391	C₂²×C₁₃₉	semidirect
584. #391	C₂²×C₁₃₉	semidirect
585. #391	C₂²×C₁₃₉	semidirect
586. #391	C₂²×C₁₃₉	semidirect
587. #391	C₂²×C₁₃₉	semidirect
588. #389	C₂²×C₁₃₉	semidirect
589. #389	C₂²×C₁₃₉	semidirect
590. #389	C₂²×C₁₃₉	semidirect
591. #389	C₂²×C₁₃₉	semidirect
592. #389	C₂²×C₁₃₉	semidirect
593. #389	C₂²×C₁₃₉	semidirect
594. #389	C₂²×C₁₃₉	semidirect
599. #387	C₂²×C₁₃₉	semidirect
600. #387	C₂²×C₁₃₉	semidirect
601. #387	C₂²×C₁₃₉	semidirect
602. #387	C₂²×C₁₃₉	semidirect
603. #387	C₂²×C₁₃₉	semidirect
604. #387	C₂²×C₁₃₉	semidirect
605. #387	C₂²×C₁₃₉	semidirect
606. #387	C₂²×C₁₃₉	semidirect
607. #387	C₂²×C₁₃₉	semidirect
617. #384	C₂²×C₁₃₉	semidirect
618. #384	C₂²×C₁₃₉	semidirect
619. #384	C₂²×C₁₃₉	semidirect
620. #382	C₂²×C₁₃₉	semidirect
635. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
636. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
637. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
638. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
639. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
709. C₂×C₂²⋊C₄	Q₈×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
#2857×C₁₃₉	2
#2855×C₁₃₉	2
#2848×C₁₃₉	2
#2574×C₁₃₉	2
#2569×C₁₃₉	2
#2522×C₁₃₉	2
#2505×C₁₃₉	2
#2502×C₁₃₉	2
#2497×C₁₃₉	2
#2492×C₁₃₉	2
#2440×C₁₃₉	2
#2438×C₁₃₉	2
#2437×C₁₃₉	2
#2423×C₁₃₉	2
#2368×C₁₃₉	2
#2360×C₁₃₉	2
#2345×C₁₃₉	2
#2342×C₁₃₉	2
C₄×C₂²⋊Q₈×C₁₃₉	2
#2285×C₁₃₉	2
C₂×#380×C₁₃₉	2
C₂×C₄×C₂²⋊C₄×C₁₃₉	2
#36190	139

Subgroups — C139×#36190 #48030786

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36190 #48030786