Subgroups — C₁₃₉×#36293 #48030889

Order 35584.

2156 conjugacy classes of subgroups.

The subgroup lattice has 1052 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2861×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#2860×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2855×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2597×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2531×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2526×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2513×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2482×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2480×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2479×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2454×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2448×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2447×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2442×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2435×C₁₃₉	C₂	1	1	yes	maximal, characteristic
16	#2360×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2342×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	#2342×C₁₃₉	C₂	1	2	yes	maximal, complemented
19	D₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic
20	C₄×#124×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2293×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#390×C₁₃₉	C₂	1	1	yes	maximal, characteristic
23	C₄×#117×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
25	C₂×#126×C₁₃₉	C₂²	1	2	yes	complemented
26	C₂×#125×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
27	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
28	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
29	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
30	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂×#117×C₁₃₉	C₂²	1	2	yes	complemented
36	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
38	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
39	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
40	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
41	#400×C₁₃₉	C₂²	1	2	yes	complemented
42	#399×C₁₃₉	C₂²	1	2	yes	complemented
43	#399×C₁₃₉	C₂²	1	2	yes	complemented
44	#398×C₁₃₉	C₂²	1	2	yes	complemented
45	#397×C₁₃₉	C₂²	1	2	yes	complemented
46	#397×C₁₃₉	C₂²	1	2	yes	complemented
47	#397×C₁₃₉	C₂²	1	2	yes	complemented
48	#397×C₁₃₉	C₂²	1	2	yes	complemented
49	#397×C₁₃₉	C₂²	1	2	yes	complemented
50	#396×C₁₃₉	C₂²	1	2	yes	complemented
51	#394×C₁₃₉	C₂²	1	2	yes	—
52	#394×C₁₃₉	C₂²	1	2	yes	—
53	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
54	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
55	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
56	#390×C₁₃₉	C₂²	1	1	yes	characteristic
57	#390×C₁₃₉	C₂²	1	1	yes	characteristic
58	#390×C₁₃₉	C₂²	1	1	yes	characteristic
59	#390×C₁₃₉	C₂²	1	2	yes	—
60	#390×C₁₃₉	C₂²	1	1	yes	characteristic
61	#390×C₁₃₉	C₂²	1	2	yes	—
62	#390×C₁₃₉	C₂²	1	1	yes	characteristic
63	#390×C₁₃₉	C₂²	1	1	yes	characteristic
64	#390×C₁₃₉	C₂²	1	1	yes	characteristic
65	#390×C₁₃₉	C₂²	1	1	yes	characteristic
66	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
67	#389×C₁₃₉	C₂²	1	2	yes	complemented
68	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
69	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
70	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
71	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
72	#388×C₁₃₉	C₂²	1	2	yes	complemented
73	#388×C₁₃₉	C₂²	1	2	yes	complemented
74	#388×C₁₃₉	C₂²	1	2	yes	complemented
75	#388×C₁₃₉	C₂²	1	2	yes	complemented
76	#388×C₁₃₉	C₂²	1	2	yes	complemented
77	#388×C₁₃₉	C₂²	1	2	yes	complemented
78	#388×C₁₃₉	C₂²	1	2	yes	complemented
79	#388×C₁₃₉	C₂²	1	2	yes	complemented
80	#388×C₁₃₉	C₂²	1	2	yes	complemented
81	#388×C₁₃₉	C₂²	1	2	yes	complemented
82	#388×C₁₃₉	C₂²	1	2	yes	complemented
83	#388×C₁₃₉	C₂²	1	2	yes	complemented
84	#388×C₁₃₉	C₂²	1	2	yes	complemented
85	#388×C₁₃₉	C₂²	1	2	yes	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	#385×C₁₃₉	C₂²	1	2	yes	—
93	#385×C₁₃₉	C₂²	1	2	yes	—
94	#385×C₁₃₉	C₂²	1	2	yes	—
95	#385×C₁₃₉	C₂²	1	2	yes	complemented
96	#385×C₁₃₉	C₂²	1	2	yes	complemented
97	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
98	#381×C₁₃₉	C₂²	1	2	yes	—
99	#381×C₁₃₉	C₂²	1	2	yes	complemented
100	#380×C₁₃₉	C₂²	1	1	yes	characteristic
101	#380×C₁₃₉	C₂²	1	2	yes	—
102	#380×C₁₃₉	C₂²	1	2	yes	complemented
103	#379×C₁₃₉	C₂²	1	2	yes	—
104	#379×C₁₃₉	C₂²	1	2	yes	—
105	#379×C₁₃₉	C₂²	1	2	yes	—
106	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
107	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
108	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
109	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
110	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
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	2	yes	—
116	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
117	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
118	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
119	#376×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
120	#376×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
121	C₄³×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
122	C₄³×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
123	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
124	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
125	C₂²×D₄×C₁₃₉	—	2	4	no	—
126	C₂²×D₄×C₁₃₉	—	2	4	no	—
127	C₂²×D₄×C₁₃₉	—	4	2	no	—
128	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
129	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
130	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
131	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
132	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
133	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
134	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
135	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
136	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
137	#126×C₁₃₉	—	4	4	no	—
138	#125×C₁₃₉	—	4	2	no	—
139	#124×C₁₃₉	—	2	4	no	—
140	#124×C₁₃₉	—	4	2	no	—
141	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
142	C₄×Q₈×C₁₃₉	—	4	2	no	—
143	C₄×D₄×C₁₃₉	—	2	4	no	—
144	C₄×D₄×C₁₃₉	—	4	2	no	—
145	#117×C₁₃₉	—	2	4	no	—
146	#117×C₁₃₉	—	2	4	no	—
147	#117×C₁₃₉	—	4	4	no	—
148	C₂×C₄⋊C₄×C₁₃₉	—	4	2	no	—
149	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
150	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
151	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
152	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
153	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
154	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
160	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
161	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
162	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
169	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
170	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
171	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
172	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
173	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
174	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
175	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
176	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
177	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
178	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
179	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
180	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
185	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
193	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
196	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
197	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
198	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
199	C₂×C₄²×C₁₃₉	—	2	4	no	—
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	1	yes	characteristic
208	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
215	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
216	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
218	#95×C₁₃₉	C₂³	1	1	yes	characteristic
219	#95×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
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	2	yes	—
231	#95×C₁₃₉	C₂³	1	1	yes	characteristic
232	#95×C₁₃₉	C₂³	1	1	yes	characteristic
233	#95×C₁₃₉	C₂³	1	1	yes	characteristic
234	#95×C₁₃₉	C₂³	1	1	yes	characteristic
235	#95×C₁₃₉	C₂³	1	1	yes	characteristic
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	#95×C₁₃₉	C₂³	1	2	yes	—
241	C₂⁴×C₁₃₉	—	2	4	no	—
242	C₂⁴×C₁₃₉	—	2	4	no	—
243	C₂⁴×C₁₃₉	—	2	4	no	—
244	C₂⁴×C₁₃₉	—	2	4	no	—
245	C₂⁴×C₁₃₉	—	4	2	no	—
246	C₂⁴×C₁₃₉	—	4	2	no	—
247	C₂⁴×C₁₃₉	—	4	2	no	—
248	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
249	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
250	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
251	C₂×Q₈×C₁₃₉	—	2	2	no	—
252	C₂×Q₈×C₁₃₉	—	2	2	no	—
253	C₂×Q₈×C₁₃₉	—	2	2	no	—
254	C₂×D₄×C₁₃₉	—	2	4	no	—
255	C₂×D₄×C₁₃₉	—	2	2	no	—
256	C₂×D₄×C₁₃₉	—	2	4	no	—
257	C₂×D₄×C₁₃₉	—	2	2	no	—
258	C₂×D₄×C₁₃₉	—	2	2	no	—
259	C₂×D₄×C₁₃₉	—	2	2	no	—
260	C₂×D₄×C₁₃₉	—	2	2	no	—
261	C₂×D₄×C₁₃₉	—	4	16	no	—
262	C₂×D₄×C₁₃₉	—	4	2	no	—
263	C₂×D₄×C₁₃₉	#41	1	4	yes	—
264	C₂²×C₄×C₁₃₉	—	2	2	no	—
265	C₂²×C₄×C₁₃₉	—	2	2	no	—
266	C₂²×C₄×C₁₃₉	—	2	2	no	—
267	C₂²×C₄×C₁₃₉	—	2	2	no	—
268	C₂²×C₄×C₁₃₉	—	2	2	no	—
269	C₂²×C₄×C₁₃₉	—	2	4	no	—
270	C₂²×C₄×C₁₃₉	—	2	4	no	—
271	C₂²×C₄×C₁₃₉	—	2	4	no	—
272	C₂²×C₄×C₁₃₉	—	2	2	no	—
273	C₂²×C₄×C₁₃₉	—	2	4	no	—
274	C₂²×C₄×C₁₃₉	—	4	2	no	—
275	C₂²×C₄×C₁₃₉	—	4	1	no	—
276	C₂²×C₄×C₁₃₉	—	4	2	no	—
277	C₂²×C₄×C₁₃₉	—	4	2	no	—
278	C₂²×C₄×C₁₃₉	—	4	2	no	—
279	C₂²×C₄×C₁₃₉	—	4	2	no	—
280	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
281	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
282	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
283	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
284	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
285	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
286	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
287	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
288	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
289	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
290	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
291	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
292	C₂²×C₄×C₁₃₉	C₂⁴	1	2	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	1	yes	characteristic
296	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
297	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
298	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
299	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
300	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
301	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
302	C₄⋊C₄×C₁₃₉	—	2	2	no	—
303	C₄⋊C₄×C₁₃₉	—	2	2	no	—
304	C₄⋊C₄×C₁₃₉	—	2	2	no	—
305	C₄⋊C₄×C₁₃₉	—	2	2	no	—
306	C₄⋊C₄×C₁₃₉	—	2	2	no	—
307	C₄⋊C₄×C₁₃₉	—	2	2	no	—
308	C₄⋊C₄×C₁₃₉	—	2	4	no	—
309	C₄⋊C₄×C₁₃₉	—	2	2	no	—
310	C₄⋊C₄×C₁₃₉	—	2	2	no	—
311	C₄⋊C₄×C₁₃₉	—	2	4	no	—
312	C₄⋊C₄×C₁₃₉	—	2	2	no	—
313	C₄⋊C₄×C₁₃₉	—	4	2	no	—
314	C₄⋊C₄×C₁₃₉	—	4	2	no	—
315	C₄⋊C₄×C₁₃₉	—	4	2	no	—
316	C₄⋊C₄×C₁₃₉	—	4	2	no	—
317	C₄⋊C₄×C₁₃₉	—	4	2	no	—
318	C₄⋊C₄×C₁₃₉	—	4	2	no	—
319	C₄⋊C₄×C₁₃₉	—	4	2	no	—
320	C₄⋊C₄×C₁₃₉	—	4	2	no	—
321	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
322	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
323	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
324	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
325	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
326	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
327	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
328	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
329	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
330	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
331	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
332	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
333	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
334	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
335	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
336	C₂²⋊C₄×C₁₃₉	—	2	4	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	—	4	2	no	—
341	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
342	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
343	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
344	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
345	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
346	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
347	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
348	C₂²⋊C₄×C₁₃₉	#41	1	4	yes	—
349	C₄²×C₁₃₉	—	2	2	no	—
350	C₄²×C₁₃₉	—	2	2	no	—
351	C₄²×C₁₃₉	—	2	2	no	—
352	C₄²×C₁₃₉	—	2	2	no	—
353	C₄²×C₁₃₉	—	2	2	no	—
354	C₄²×C₁₃₉	—	2	2	no	—
355	C₄²×C₁₃₉	—	2	2	no	—
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	—	2	2	no	—
363	C₄²×C₁₃₉	—	4	1	no	—
364	C₄²×C₁₃₉	—	4	1	no	—
365	C₄²×C₁₃₉	—	4	2	no	—
366	C₄²×C₁₃₉	—	4	2	no	—
367	C₂³×C₁₃₉	—	2	1	no	—
368	C₂³×C₁₃₉	—	2	1	no	—
369	C₂³×C₁₃₉	—	2	1	no	—
370	C₂³×C₁₃₉	—	2	1	no	—
371	C₂³×C₁₃₉	—	2	2	no	—
372	C₂³×C₁₃₉	—	2	2	no	—
373	C₂³×C₁₃₉	—	2	2	no	—
374	C₂³×C₁₃₉	—	2	2	no	—
375	C₂³×C₁₃₉	—	2	2	no	—
376	C₂³×C₁₃₉	—	2	2	no	—
377	C₂³×C₁₃₉	—	2	2	no	—
378	C₂³×C₁₃₉	—	2	2	no	—
379	C₂³×C₁₃₉	—	2	2	no	—
380	C₂³×C₁₃₉	—	2	2	no	—
381	C₂³×C₁₃₉	—	2	2	no	—
382	C₂³×C₁₃₉	—	2	2	no	—
383	C₂³×C₁₃₉	—	2	2	no	—
384	C₂³×C₁₃₉	—	4	8	no	—
385	C₂³×C₁₃₉	—	4	8	no	—
386	C₂³×C₁₃₉	—	4	8	no	—
387	C₂³×C₁₃₉	—	4	8	no	—
388	C₂³×C₁₃₉	—	8	4	no	—
389	C₂³×C₁₃₉	—	8	4	no	—
390	C₂³×C₁₃₉	—	8	4	no	—
391	C₂³×C₁₃₉	C₂×#41	1	4	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	C₂⁵	1	1	yes	characteristic
396	Q₈×C₁₃₉	—	4	4	no	—
397	D₄×C₁₃₉	—	2	8	no	—
398	D₄×C₁₃₉	—	4	8	no	—
399	D₄×C₁₃₉	—	4	4	no	—
400	C₂×C₄×C₁₃₉	—	2	8	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	8	no	—
414	C₂×C₄×C₁₃₉	—	2	1	no	—
415	C₂×C₄×C₁₃₉	—	2	1	no	—
416	C₂×C₄×C₁₃₉	—	2	1	no	—
417	C₂×C₄×C₁₃₉	—	2	1	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	1	no	—
422	C₂×C₄×C₁₃₉	—	2	1	no	—
423	C₂×C₄×C₁₃₉	—	2	1	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	2	no	—
432	C₂×C₄×C₁₃₉	—	2	1	no	—
433	C₂×C₄×C₁₃₉	—	2	1	no	—
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	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	1	no	—
444	C₂×C₄×C₁₃₉	—	2	2	no	—
445	C₂×C₄×C₁₃₉	—	2	2	no	—
446	C₂×C₄×C₁₃₉	—	2	2	no	—
447	C₂×C₄×C₁₃₉	—	2	1	no	—
448	C₂×C₄×C₁₃₉	—	2	1	no	—
449	C₂×C₄×C₁₃₉	—	2	1	no	—
450	C₂×C₄×C₁₃₉	—	2	2	no	—
451	C₂×C₄×C₁₃₉	—	2	2	no	—
452	C₂×C₄×C₁₃₉	—	2	1	no	—
453	C₂×C₄×C₁₃₉	—	4	8	no	—
454	C₂×C₄×C₁₃₉	—	4	4	no	—
455	C₂×C₄×C₁₃₉	—	8	4	no	—
456	C₂×C₄×C₁₃₉	—	8	4	no	—
457	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
458	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
459	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
460	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
461	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
462	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
463	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
464	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
465	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
466	C₂²×C₁₃₉	—	2	2	no	—
467	C₂²×C₁₃₉	—	2	2	no	—
468	C₂²×C₁₃₉	—	2	2	no	—
469	C₂²×C₁₃₉	—	2	2	no	—
470	C₂²×C₁₃₉	—	2	2	no	—
471	C₂²×C₁₃₉	—	2	2	no	—
472	C₂²×C₁₃₉	—	2	4	no	—
473	C₂²×C₁₃₉	—	2	4	no	—
474	C₂²×C₁₃₉	—	2	4	no	—
475	C₂²×C₁₃₉	—	4	2	no	—
476	C₂²×C₁₃₉	—	4	2	no	—
477	C₂²×C₁₃₉	—	4	2	no	—
478	C₂²×C₁₃₉	—	4	2	no	—
479	C₂²×C₁₃₉	—	4	2	no	—
480	C₂²×C₁₃₉	—	4	2	no	—
481	C₂²×C₁₃₉	—	4	2	no	—
482	C₂²×C₁₃₉	—	4	2	no	—
483	C₂²×C₁₃₉	—	4	2	no	—
484	C₂²×C₁₃₉	—	4	2	no	—
485	C₂²×C₁₃₉	—	4	2	no	—
486	C₂²×C₁₃₉	—	8	16	no	—
487	C₂²×C₁₃₉	#529	1	4	yes	—
488	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
489	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
490	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
491	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
492	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
493	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
494	C₂²×C₁₃₉	#585	1	1	yes	characteristic
495	C₄×C₁₃₉	—	2	2	no	—
496	C₄×C₁₃₉	—	2	2	no	—
497	C₄×C₁₃₉	—	2	2	no	—
498	C₄×C₁₃₉	—	2	2	no	—
499	C₄×C₁₃₉	—	2	2	no	—
500	C₄×C₁₃₉	—	2	2	no	—
501	C₄×C₁₃₉	—	4	2	no	—
502	C₄×C₁₃₉	—	4	1	no	—
503	C₄×C₁₃₉	—	4	1	no	—
504	C₄×C₁₃₉	—	4	1	no	—
505	C₄×C₁₃₉	—	4	2	no	—
506	C₄×C₁₃₉	—	4	2	no	—
507	C₄×C₁₃₉	—	4	1	no	—
508	C₄×C₁₃₉	—	4	1	no	—
509	C₄×C₁₃₉	—	4	1	no	—
510	C₄×C₁₃₉	—	4	2	no	—
511	C₄×C₁₃₉	—	4	2	no	—
512	C₄×C₁₃₉	—	4	1	no	—
513	C₄×C₁₃₉	—	4	2	no	—
514	C₄×C₁₃₉	#551	1	4	yes	—
515	C₂×C₁₃₉	—	2	4	no	—
516	C₂×C₁₃₉	—	4	4	no	—
517	C₂×C₁₃₉	—	8	2	no	—
518	C₂×C₁₃₉	C₂×#529	1	1	yes	characteristic
519	C₂×C₁₃₉	C₂×#551	1	1	yes	characteristic
520	C₂×C₁₃₉	#3475	1	1	yes	characteristic
521	C₂×C₁₃₉	#3481	1	1	yes	characteristic
522	C₂×C₁₃₉	#3494	1	1	yes	characteristic
523	C₂×C₁₃₉	#3508	1	1	yes	characteristic
524	C₂×C₁₃₉	#3514	1	1	yes	characteristic
525	#36293	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
526	C₁₃₉	#36293	1	1	yes	characteristic, direct product factor, Sylow
527	#2861	C₂×C₁₃₉	1	1	yes	characteristic, complemented
528	#2860	C₂×C₁₃₉	1	1	yes	characteristic, complemented
529	#2855	C₂×C₁₃₉	1	1	yes	characteristic, complemented
530	#2597	C₂×C₁₃₉	1	2	yes	complemented
531	#2531	C₂×C₁₃₉	1	2	yes	complemented
532	#2526	C₂×C₁₃₉	1	2	yes	complemented
533	#2513	C₂×C₁₃₉	1	1	yes	characteristic, complemented
534	#2482	C₂×C₁₃₉	1	2	yes	complemented
535	#2480	C₂×C₁₃₉	1	2	yes	complemented
536	#2479	C₂×C₁₃₉	1	2	yes	complemented
537	#2454	C₂×C₁₃₉	1	1	yes	characteristic, complemented
538	#2448	C₂×C₁₃₉	1	1	yes	characteristic, complemented
539	#2447	C₂×C₁₃₉	1	1	yes	characteristic, complemented
540	#2442	C₂×C₁₃₉	1	1	yes	characteristic, complemented
541	#2435	C₂×C₁₃₉	1	1	yes	characteristic
542	#2360	C₂×C₁₃₉	1	1	yes	characteristic, complemented
543	#2342	C₂×C₁₃₉	1	2	yes	complemented
544	#2342	C₂×C₁₃₉	1	2	yes	complemented
545	D₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic
546	C₄×#124	C₂×C₁₃₉	1	1	yes	characteristic, complemented
547	#2293	C₂×C₁₃₉	1	1	yes	characteristic, complemented
548	C₂×#390	C₂×C₁₃₉	1	1	yes	characteristic
549	C₄×#117	C₂×C₁₃₉	1	1	yes	characteristic, complemented
550	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
551	C₂×#126	C₂²×C₁₃₉	1	2	yes	complemented
552	C₂×#125	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
553	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
554	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
555	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
556	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
557	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
558	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
559	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
560	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
561	C₂×#117	C₂²×C₁₃₉	1	2	yes	complemented
562	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
563	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
564	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
565	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
566	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
567	#400	C₂²×C₁₃₉	1	2	yes	complemented
568	#399	C₂²×C₁₃₉	1	2	yes	complemented
569	#399	C₂²×C₁₃₉	1	2	yes	complemented
570	#398	C₂²×C₁₃₉	1	2	yes	complemented
571	#397	C₂²×C₁₃₉	1	2	yes	complemented
572	#397	C₂²×C₁₃₉	1	2	yes	complemented
573	#397	C₂²×C₁₃₉	1	2	yes	complemented
574	#397	C₂²×C₁₃₉	1	2	yes	complemented
575	#397	C₂²×C₁₃₉	1	2	yes	complemented
576	#396	C₂²×C₁₃₉	1	2	yes	complemented
577	#394	C₂²×C₁₃₉	1	2	yes	—
578	#394	C₂²×C₁₃₉	1	2	yes	—
579	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
580	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
581	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
582	#390	C₂²×C₁₃₉	1	1	yes	characteristic
583	#390	C₂²×C₁₃₉	1	1	yes	characteristic
584	#390	C₂²×C₁₃₉	1	2	yes	—
585	#390	C₂²×C₁₃₉	1	1	yes	characteristic
586	#390	C₂²×C₁₃₉	1	1	yes	characteristic
587	#390	C₂²×C₁₃₉	1	1	yes	characteristic
588	#390	C₂²×C₁₃₉	1	1	yes	characteristic
589	#390	C₂²×C₁₃₉	1	1	yes	characteristic
590	#390	C₂²×C₁₃₉	1	2	yes	—
591	#390	C₂²×C₁₃₉	1	1	yes	characteristic
592	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
593	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
594	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
595	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
596	#389	C₂²×C₁₃₉	1	2	yes	complemented
597	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
598	#388	C₂²×C₁₃₉	1	2	yes	complemented
599	#388	C₂²×C₁₃₉	1	2	yes	complemented
600	#388	C₂²×C₁₃₉	1	2	yes	complemented
601	#388	C₂²×C₁₃₉	1	2	yes	complemented
602	#388	C₂²×C₁₃₉	1	2	yes	complemented
603	#388	C₂²×C₁₃₉	1	2	yes	complemented
604	#388	C₂²×C₁₃₉	1	2	yes	complemented
605	#388	C₂²×C₁₃₉	1	2	yes	complemented
606	#388	C₂²×C₁₃₉	1	2	yes	complemented
607	#388	C₂²×C₁₃₉	1	2	yes	complemented
608	#388	C₂²×C₁₃₉	1	2	yes	complemented
609	#388	C₂²×C₁₃₉	1	2	yes	complemented
610	#388	C₂²×C₁₃₉	1	2	yes	complemented
611	#388	C₂²×C₁₃₉	1	2	yes	complemented
612	#388	C₂²×C₁₃₉	1	2	yes	complemented
613	#387	C₂²×C₁₃₉	1	2	yes	complemented
614	#387	C₂²×C₁₃₉	1	2	yes	complemented
615	#387	C₂²×C₁₃₉	1	2	yes	complemented
616	#386	C₂²×C₁₃₉	1	2	yes	—
617	#386	C₂²×C₁₃₉	1	2	yes	—
618	#385	C₂²×C₁₃₉	1	2	yes	—
619	#385	C₂²×C₁₃₉	1	2	yes	—
620	#385	C₂²×C₁₃₉	1	2	yes	—
621	#385	C₂²×C₁₃₉	1	2	yes	complemented
622	#385	C₂²×C₁₃₉	1	2	yes	complemented
623	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
624	#381	C₂²×C₁₃₉	1	2	yes	—
625	#381	C₂²×C₁₃₉	1	2	yes	complemented
626	#380	C₂²×C₁₃₉	1	1	yes	characteristic
627	#380	C₂²×C₁₃₉	1	2	yes	—
628	#380	C₂²×C₁₃₉	1	2	yes	complemented
629	#379	C₂²×C₁₃₉	1	2	yes	—
630	#379	C₂²×C₁₃₉	1	2	yes	—
631	#379	C₂²×C₁₃₉	1	2	yes	—
632	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
633	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
634	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
635	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
636	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
637	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
638	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
639	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
640	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
641	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
642	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
643	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
644	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
645	#376	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
646	#376	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
647	C₄³	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
648	C₄³	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
649	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
650	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
651	C₂²×D₄	—	2	4	no	—
652	C₂²×D₄	—	2	4	no	—
653	C₂²×D₄	—	4	2	no	—
654	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
655	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
656	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
657	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
658	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
659	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
660	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
661	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
662	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
663	#126	—	4	4	no	—
664	#125	—	4	2	no	—
665	#124	—	2	4	no	—
666	#124	—	4	2	no	—
667	C₂²⋊Q₈	—	2	4	no	—
668	C₄×Q₈	—	4	2	no	—
669	C₄×D₄	—	2	4	no	—
670	C₄×D₄	—	4	2	no	—
671	#117	—	2	4	no	—
672	#117	—	2	4	no	—
673	#117	—	4	4	no	—
674	C₂×C₄⋊C₄	—	4	2	no	—
675	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
676	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
677	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
678	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
679	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
680	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
681	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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	2	yes	—
686	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
687	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
688	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
689	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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×C₂²⋊C₄	—	2	8	no	—
695	C₂×C₂²⋊C₄	—	2	8	no	—
696	C₂×C₂²⋊C₄	—	4	4	no	—
697	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
698	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
699	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
700	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
701	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
702	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
703	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
704	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
705	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
706	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
707	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
708	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
709	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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	2	yes	—
713	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
714	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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	2	yes	—
724	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
725	C₂×C₄²	—	2	4	no	—
726	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
727	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
728	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
729	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
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	1	yes	characteristic
737	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
738	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
739	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
740	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
741	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
742	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
743	C₂×C₄²	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	1	yes	characteristic
751	#95	C₂³×C₁₃₉	1	1	yes	characteristic
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	C₂⁴	—	2	4	no	—
768	C₂⁴	—	2	4	no	—
769	C₂⁴	—	2	4	no	—
770	C₂⁴	—	2	4	no	—
771	C₂⁴	—	4	2	no	—
772	C₂⁴	—	4	2	no	—
773	C₂⁴	—	4	2	no	—
774	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
775	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
776	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
777	C₂×Q₈	—	2	2	no	—
778	C₂×Q₈	—	2	2	no	—
779	C₂×Q₈	—	2	2	no	—
780	C₂×D₄	—	2	4	no	—
781	C₂×D₄	—	2	2	no	—
782	C₂×D₄	—	2	4	no	—
783	C₂×D₄	—	2	2	no	—
784	C₂×D₄	—	2	2	no	—
785	C₂×D₄	—	2	2	no	—
786	C₂×D₄	—	2	2	no	—
787	C₂×D₄	—	4	16	no	—
788	C₂×D₄	—	4	2	no	—
789	C₂×D₄	#41×C₁₃₉	1	4	yes	—
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	4	no	—
796	C₂²×C₄	—	2	4	no	—
797	C₂²×C₄	—	2	4	no	—
798	C₂²×C₄	—	2	2	no	—
799	C₂²×C₄	—	2	4	no	—
800	C₂²×C₄	—	4	2	no	—
801	C₂²×C₄	—	4	1	no	—
802	C₂²×C₄	—	4	2	no	—
803	C₂²×C₄	—	4	2	no	—
804	C₂²×C₄	—	4	2	no	—
805	C₂²×C₄	—	4	2	no	—
806	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
807	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
808	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
809	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
810	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
811	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
812	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
813	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
814	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
815	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
816	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
817	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
818	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
819	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
820	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
821	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
822	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
823	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
824	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
825	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
826	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
827	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
828	C₄⋊C₄	—	2	2	no	—
829	C₄⋊C₄	—	2	2	no	—
830	C₄⋊C₄	—	2	2	no	—
831	C₄⋊C₄	—	2	2	no	—
832	C₄⋊C₄	—	2	2	no	—
833	C₄⋊C₄	—	2	2	no	—
834	C₄⋊C₄	—	2	4	no	—
835	C₄⋊C₄	—	2	2	no	—
836	C₄⋊C₄	—	2	2	no	—
837	C₄⋊C₄	—	2	4	no	—
838	C₄⋊C₄	—	2	2	no	—
839	C₄⋊C₄	—	4	2	no	—
840	C₄⋊C₄	—	4	2	no	—
841	C₄⋊C₄	—	4	2	no	—
842	C₄⋊C₄	—	4	2	no	—
843	C₄⋊C₄	—	4	2	no	—
844	C₄⋊C₄	—	4	2	no	—
845	C₄⋊C₄	—	4	2	no	—
846	C₄⋊C₄	—	4	2	no	—
847	C₂²⋊C₄	—	2	4	no	—
848	C₂²⋊C₄	—	2	2	no	—
849	C₂²⋊C₄	—	2	2	no	—
850	C₂²⋊C₄	—	2	2	no	—
851	C₂²⋊C₄	—	2	4	no	—
852	C₂²⋊C₄	—	2	4	no	—
853	C₂²⋊C₄	—	2	4	no	—
854	C₂²⋊C₄	—	2	4	no	—
855	C₂²⋊C₄	—	2	4	no	—
856	C₂²⋊C₄	—	2	4	no	—
857	C₂²⋊C₄	—	2	4	no	—
858	C₂²⋊C₄	—	2	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	—	4	2	no	—
864	C₂²⋊C₄	—	4	2	no	—
865	C₂²⋊C₄	—	4	2	no	—
866	C₂²⋊C₄	—	4	2	no	—
867	C₂²⋊C₄	—	4	2	no	—
868	C₂²⋊C₄	—	4	2	no	—
869	C₂²⋊C₄	—	4	2	no	—
870	C₂²⋊C₄	—	4	2	no	—
871	C₂²⋊C₄	—	4	2	no	—
872	C₂²⋊C₄	—	4	2	no	—
873	C₂²⋊C₄	—	4	2	no	—
874	C₂²⋊C₄	#41×C₁₃₉	1	4	yes	—
875	C₄²	—	2	2	no	—
876	C₄²	—	2	2	no	—
877	C₄²	—	2	2	no	—
878	C₄²	—	2	2	no	—
879	C₄²	—	2	2	no	—
880	C₄²	—	2	2	no	—
881	C₄²	—	2	2	no	—
882	C₄²	—	2	2	no	—
883	C₄²	—	2	2	no	—
884	C₄²	—	2	2	no	—
885	C₄²	—	2	2	no	—
886	C₄²	—	2	2	no	—
887	C₄²	—	2	2	no	—
888	C₄²	—	2	2	no	—
889	C₄²	—	4	1	no	—
890	C₄²	—	4	1	no	—
891	C₄²	—	4	2	no	—
892	C₄²	—	4	2	no	—
893	C₂³	—	2	1	no	—
894	C₂³	—	2	1	no	—
895	C₂³	—	2	1	no	—
896	C₂³	—	2	1	no	—
897	C₂³	—	2	2	no	—
898	C₂³	—	2	2	no	—
899	C₂³	—	2	2	no	—
900	C₂³	—	2	2	no	—
901	C₂³	—	2	2	no	—
902	C₂³	—	2	2	no	—
903	C₂³	—	2	2	no	—
904	C₂³	—	2	2	no	—
905	C₂³	—	2	2	no	—
906	C₂³	—	2	2	no	—
907	C₂³	—	2	2	no	—
908	C₂³	—	2	2	no	—
909	C₂³	—	2	2	no	—
910	C₂³	—	4	8	no	—
911	C₂³	—	4	8	no	—
912	C₂³	—	4	8	no	—
913	C₂³	—	4	8	no	—
914	C₂³	—	8	4	no	—
915	C₂³	—	8	4	no	—
916	C₂³	—	8	4	no	—
917	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
918	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
919	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
920	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
921	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
922	Q₈	—	4	4	no	—
923	D₄	—	2	8	no	—
924	D₄	—	4	8	no	—
925	D₄	—	4	4	no	—
926	C₂×C₄	—	2	8	no	—
927	C₂×C₄	—	2	1	no	—
928	C₂×C₄	—	2	1	no	—
929	C₂×C₄	—	2	1	no	—
930	C₂×C₄	—	2	1	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	8	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	1	no	—
948	C₂×C₄	—	2	1	no	—
949	C₂×C₄	—	2	1	no	—
950	C₂×C₄	—	2	2	no	—
951	C₂×C₄	—	2	2	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	1	no	—
959	C₂×C₄	—	2	1	no	—
960	C₂×C₄	—	2	1	no	—
961	C₂×C₄	—	2	1	no	—
962	C₂×C₄	—	2	1	no	—
963	C₂×C₄	—	2	1	no	—
964	C₂×C₄	—	2	2	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	1	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	2	2	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	1	no	—
974	C₂×C₄	—	2	1	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	2	no	—
977	C₂×C₄	—	2	2	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	4	8	no	—
980	C₂×C₄	—	4	4	no	—
981	C₂×C₄	—	8	4	no	—
982	C₂×C₄	—	8	4	no	—
983	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
984	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
985	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
986	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
987	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
988	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
989	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
990	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
991	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
992	C₂²	—	2	2	no	—
993	C₂²	—	2	2	no	—
994	C₂²	—	2	2	no	—
995	C₂²	—	2	2	no	—
996	C₂²	—	2	2	no	—
997	C₂²	—	2	2	no	—
998	C₂²	—	2	4	no	—
999	C₂²	—	2	4	no	—
1000	C₂²	—	2	4	no	—
1001	C₂²	—	4	2	no	—
1002	C₂²	—	4	2	no	—
1003	C₂²	—	4	2	no	—
1004	C₂²	—	4	2	no	—
1005	C₂²	—	4	2	no	—
1006	C₂²	—	4	2	no	—
1007	C₂²	—	4	2	no	—
1008	C₂²	—	4	2	no	—
1009	C₂²	—	4	2	no	—
1010	C₂²	—	4	2	no	—
1011	C₂²	—	4	2	no	—
1012	C₂²	—	8	16	no	—
1013	C₂²	#529×C₁₃₉	1	4	yes	—
1014	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1015	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1016	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1017	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1018	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1019	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1020	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1021	C₄	—	2	2	no	—
1022	C₄	—	2	2	no	—
1023	C₄	—	2	2	no	—
1024	C₄	—	2	2	no	—
1025	C₄	—	2	2	no	—
1026	C₄	—	2	2	no	—
1027	C₄	—	4	2	no	—
1028	C₄	—	4	1	no	—
1029	C₄	—	4	1	no	—
1030	C₄	—	4	2	no	—
1031	C₄	—	4	1	no	—
1032	C₄	—	4	1	no	—
1033	C₄	—	4	2	no	—
1034	C₄	—	4	2	no	—
1035	C₄	—	4	2	no	—
1036	C₄	—	4	1	no	—
1037	C₄	—	4	1	no	—
1038	C₄	—	4	2	no	—
1039	C₄	—	4	1	no	—
1040	C₄	#551×C₁₃₉	1	4	yes	—
1041	C₂	—	2	4	no	—
1042	C₂	—	4	4	no	—
1043	C₂	—	8	2	no	—
1044	C₂	C₂×#529×C₁₃₉	1	1	yes	characteristic
1045	C₂	C₂×#551×C₁₃₉	1	1	yes	characteristic
1046	C₂	#3475×C₁₃₉	1	1	yes	characteristic
1047	C₂	#3481×C₁₃₉	1	1	yes	characteristic
1048	C₂	#3494×C₁₃₉	1	1	yes	characteristic
1049	C₂	#3508×C₁₃₉	1	1	yes	characteristic
1050	C₂	#3514×C₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	C₂³×D₄×C₁₃₉	C₂²
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. #2861×C₁₃₉	C₂	semidirect
2. #2860×C₁₃₉	C₂	semidirect
3. #2855×C₁₃₉	C₂	semidirect
4. #2597×C₁₃₉	C₂	semidirect
5. #2531×C₁₃₉	C₂	semidirect
6. #2526×C₁₃₉	C₂	semidirect
7. #2513×C₁₃₉	C₂	semidirect
8. #2482×C₁₃₉	C₂	semidirect
9. #2480×C₁₃₉	C₂	semidirect
10. #2479×C₁₃₉	C₂	semidirect
11. #2454×C₁₃₉	C₂	semidirect
12. #2448×C₁₃₉	C₂	semidirect
13. #2447×C₁₃₉	C₂	semidirect
14. #2442×C₁₃₉	C₂	semidirect
16. #2360×C₁₃₉	C₂	semidirect
17. #2342×C₁₃₉	C₂	semidirect
18. #2342×C₁₃₉	C₂	semidirect
20. C₄×#124×C₁₃₉	C₂	semidirect
21. #2293×C₁₃₉	C₂	semidirect
23. C₄×#117×C₁₃₉	C₂	semidirect
25. C₂×#126×C₁₃₉	C₂²	semidirect
26. C₂×#125×C₁₃₉	C₂²	semidirect
30. C₂×C₄×Q₈×C₁₃₉	C₂²	semidirect
35. C₂×#117×C₁₃₉	C₂²	semidirect
41. #400×C₁₃₉	C₂²	semidirect
42. #399×C₁₃₉	C₂²	semidirect
43. #399×C₁₃₉	C₂²	semidirect
44. #398×C₁₃₉	C₂²	semidirect
45. #397×C₁₃₉	C₂²	semidirect
46. #397×C₁₃₉	C₂²	semidirect
47. #397×C₁₃₉	C₂²	semidirect
48. #397×C₁₃₉	C₂²	semidirect
49. #397×C₁₃₉	C₂²	semidirect
50. #396×C₁₃₉	C₂²	semidirect
53. #391×C₁₃₉	C₂²	semidirect
54. #391×C₁₃₉	C₂²	semidirect
55. #391×C₁₃₉	C₂²	semidirect
66. #389×C₁₃₉	C₂²	semidirect
67. #389×C₁₃₉	C₂²	semidirect
68. #389×C₁₃₉	C₂²	semidirect
69. #389×C₁₃₉	C₂²	semidirect
70. #389×C₁₃₉	C₂²	semidirect
71. #389×C₁₃₉	C₂²	semidirect
72. #388×C₁₃₉	C₂²	semidirect
73. #388×C₁₃₉	C₂²	semidirect
74. #388×C₁₃₉	C₂²	semidirect
75. #388×C₁₃₉	C₂²	semidirect
76. #388×C₁₃₉	C₂²	semidirect
77. #388×C₁₃₉	C₂²	semidirect
78. #388×C₁₃₉	C₂²	semidirect
79. #388×C₁₃₉	C₂²	semidirect
80. #388×C₁₃₉	C₂²	semidirect
81. #388×C₁₃₉	C₂²	semidirect
82. #388×C₁₃₉	C₂²	semidirect
83. #388×C₁₃₉	C₂²	semidirect
84. #388×C₁₃₉	C₂²	semidirect
85. #388×C₁₃₉	C₂²	semidirect
86. #388×C₁₃₉	C₂²	semidirect
87. #387×C₁₃₉	C₂²	semidirect
88. #387×C₁₃₉	C₂²	semidirect
89. #387×C₁₃₉	C₂²	semidirect
95. #385×C₁₃₉	C₂²	semidirect
96. #385×C₁₃₉	C₂²	semidirect
97. #382×C₁₃₉	C₂²	semidirect
99. #381×C₁₃₉	C₂²	semidirect
102. #380×C₁₃₉	C₂²	semidirect
106. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
107. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
108. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
109. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
110. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
116. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
117. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
118. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
119. #376×C₁₃₉	C₂²	semidirect
120. #376×C₁₃₉	C₂²	semidirect
121. C₄³×C₁₃₉	C₂²	semidirect
122. C₄³×C₁₃₉	C₂²	semidirect
525. #36293	C₁₃₉	direct (N × H)
526. C₁₃₉	#36293	direct (N × H)
527. #2861	C₂×C₁₃₉	semidirect
528. #2860	C₂×C₁₃₉	semidirect
529. #2855	C₂×C₁₃₉	semidirect
530. #2597	C₂×C₁₃₉	semidirect
531. #2531	C₂×C₁₃₉	semidirect
532. #2526	C₂×C₁₃₉	semidirect
533. #2513	C₂×C₁₃₉	semidirect
534. #2482	C₂×C₁₃₉	semidirect
535. #2480	C₂×C₁₃₉	semidirect
536. #2479	C₂×C₁₃₉	semidirect
537. #2454	C₂×C₁₃₉	semidirect
538. #2448	C₂×C₁₃₉	semidirect
539. #2447	C₂×C₁₃₉	semidirect
540. #2442	C₂×C₁₃₉	semidirect
542. #2360	C₂×C₁₃₉	semidirect
543. #2342	C₂×C₁₃₉	semidirect
544. #2342	C₂×C₁₃₉	semidirect
546. C₄×#124	C₂×C₁₃₉	semidirect
547. #2293	C₂×C₁₃₉	semidirect
549. C₄×#117	C₂×C₁₃₉	semidirect
551. C₂×#126	C₂²×C₁₃₉	semidirect
552. C₂×#125	C₂²×C₁₃₉	semidirect
556. C₂×C₄×Q₈	C₂²×C₁₃₉	semidirect
561. C₂×#117	C₂²×C₁₃₉	semidirect
567. #400	C₂²×C₁₃₉	semidirect
568. #399	C₂²×C₁₃₉	semidirect
569. #399	C₂²×C₁₃₉	semidirect
570. #398	C₂²×C₁₃₉	semidirect
571. #397	C₂²×C₁₃₉	semidirect
572. #397	C₂²×C₁₃₉	semidirect
573. #397	C₂²×C₁₃₉	semidirect
574. #397	C₂²×C₁₃₉	semidirect
575. #397	C₂²×C₁₃₉	semidirect
576. #396	C₂²×C₁₃₉	semidirect
579. #391	C₂²×C₁₃₉	semidirect
580. #391	C₂²×C₁₃₉	semidirect
581. #391	C₂²×C₁₃₉	semidirect
592. #389	C₂²×C₁₃₉	semidirect
593. #389	C₂²×C₁₃₉	semidirect
594. #389	C₂²×C₁₃₉	semidirect
595. #389	C₂²×C₁₃₉	semidirect
596. #389	C₂²×C₁₃₉	semidirect
597. #389	C₂²×C₁₃₉	semidirect
598. #388	C₂²×C₁₃₉	semidirect
599. #388	C₂²×C₁₃₉	semidirect
600. #388	C₂²×C₁₃₉	semidirect
601. #388	C₂²×C₁₃₉	semidirect
602. #388	C₂²×C₁₃₉	semidirect
603. #388	C₂²×C₁₃₉	semidirect
604. #388	C₂²×C₁₃₉	semidirect
605. #388	C₂²×C₁₃₉	semidirect
606. #388	C₂²×C₁₃₉	semidirect
607. #388	C₂²×C₁₃₉	semidirect
608. #388	C₂²×C₁₃₉	semidirect
609. #388	C₂²×C₁₃₉	semidirect
610. #388	C₂²×C₁₃₉	semidirect
611. #388	C₂²×C₁₃₉	semidirect
612. #388	C₂²×C₁₃₉	semidirect
613. #387	C₂²×C₁₃₉	semidirect
614. #387	C₂²×C₁₃₉	semidirect
615. #387	C₂²×C₁₃₉	semidirect
621. #385	C₂²×C₁₃₉	semidirect
622. #385	C₂²×C₁₃₉	semidirect
623. #382	C₂²×C₁₃₉	semidirect
625. #381	C₂²×C₁₃₉	semidirect
628. #380	C₂²×C₁₃₉	semidirect
632. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
633. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
634. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
635. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
636. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
642. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
643. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
644. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
645. #376	C₂²×C₁₃₉	semidirect
646. #376	C₂²×C₁₃₉	semidirect
647. C₄³	C₂²×C₁₃₉	semidirect
648. C₄³	C₂²×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
#2861×C₁₃₉	2
#2860×C₁₃₉	2
#2855×C₁₃₉	2
#2597×C₁₃₉	2
#2531×C₁₃₉	2
#2526×C₁₃₉	2
#2513×C₁₃₉	2
#2482×C₁₃₉	2
#2480×C₁₃₉	2
#2479×C₁₃₉	2
#2454×C₁₃₉	2
#2448×C₁₃₉	2
#2447×C₁₃₉	2
#2442×C₁₃₉	2
#2435×C₁₃₉	2
#2360×C₁₃₉	2
#2342×C₁₃₉	2
D₄×C₂²⋊C₄×C₁₃₉	2
C₄×#124×C₁₃₉	2
#2293×C₁₃₉	2
C₂×#390×C₁₃₉	2
C₄×#117×C₁₃₉	2
#36293	139

Subgroups — C139×#36293 #48030889

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36293 #48030889