Subgroups — C₁₃₉×#35922 #48030518

Order 35584.

2998 conjugacy classes of subgroups.

The subgroup lattice has 1200 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#551×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#546×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2662×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2661×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2659×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2610×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2603×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2561×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2555×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2554×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2543×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2534×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2464×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2461×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2435×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2430×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2408×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	#2392×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2388×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#392×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2342×C₁₃₉	C₂	1	2	yes	maximal, complemented
22	D₄×C₂²⋊C₄×C₁₃₉	C₂	1	2	yes	maximal, complemented
23	#2275×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
25	C₂³×D₄×C₁₃₉	C₂²	1	2	yes	—
26	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
27	#551×C₁₃₉	—	2	8	no	—
28	#546×C₁₃₉	—	2	8	no	—
29	C₂×#126×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
30	C₂×#126×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
31	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
32	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
33	C₂×#124×C₁₃₉	C₂²	1	2	yes	complemented
34	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
36	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
37	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
42	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
43	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
44	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
45	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
46	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
48	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
52	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
53	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
54	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
55	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
56	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
57	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
58	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
59	#398×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
60	#398×C₁₃₉	C₂²	1	2	yes	complemented
61	#398×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
62	#397×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
63	#397×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
64	#396×C₁₃₉	C₂²	1	2	yes	complemented
65	#396×C₁₃₉	C₂²	1	2	yes	complemented
66	#395×C₁₃₉	C₂²	1	2	yes	complemented
67	#395×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
68	#395×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
69	#394×C₁₃₉	C₂²	1	2	yes	complemented
70	#394×C₁₃₉	C₂²	1	2	yes	complemented
71	#394×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
72	#394×C₁₃₉	C₂²	1	2	yes	complemented
73	#394×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
74	#394×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
75	#394×C₁₃₉	C₂²	1	2	yes	complemented
76	#394×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
77	#393×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
78	#393×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
79	#392×C₁₃₉	C₂²	1	1	yes	characteristic
80	#392×C₁₃₉	C₂²	1	2	yes	—
81	#392×C₁₃₉	C₂²	1	1	yes	characteristic
82	#392×C₁₃₉	C₂²	1	1	yes	characteristic
83	#392×C₁₃₉	C₂²	1	1	yes	characteristic
84	#392×C₁₃₉	C₂²	1	2	yes	—
85	#392×C₁₃₉	C₂²	1	2	yes	complemented
86	#392×C₁₃₉	C₂²	1	2	yes	complemented
87	#390×C₁₃₉	C₂²	1	2	yes	complemented
88	#390×C₁₃₉	C₂²	1	2	yes	complemented
89	#390×C₁₃₉	C₂²	1	2	yes	complemented
90	#390×C₁₃₉	C₂²	1	2	yes	complemented
91	#390×C₁₃₉	C₂²	1	2	yes	complemented
92	#388×C₁₃₉	C₂²	1	2	yes	complemented
93	#388×C₁₃₉	C₂²	1	2	yes	complemented
94	#388×C₁₃₉	C₂²	1	2	yes	complemented
95	#388×C₁₃₉	C₂²	1	2	yes	complemented
96	#388×C₁₃₉	C₂²	1	2	yes	complemented
97	#388×C₁₃₉	C₂²	1	2	yes	complemented
98	#388×C₁₃₉	C₂²	1	2	yes	complemented
99	#388×C₁₃₉	C₂²	1	2	yes	complemented
100	#386×C₁₃₉	C₂²	1	2	yes	complemented
101	#386×C₁₃₉	C₂²	1	2	yes	complemented
102	#386×C₁₃₉	C₂²	1	2	yes	complemented
103	#386×C₁₃₉	C₂²	1	2	yes	complemented
104	#386×C₁₃₉	C₂²	1	2	yes	complemented
105	#386×C₁₃₉	C₂²	1	2	yes	complemented
106	#385×C₁₃₉	C₂²	1	2	yes	complemented
107	#385×C₁₃₉	C₂²	1	2	yes	complemented
108	#381×C₁₃₉	C₂²	1	2	yes	—
109	#380×C₁₃₉	C₂²	1	2	yes	—
110	#380×C₁₃₉	C₂²	1	2	yes	—
111	#379×C₁₃₉	C₂²	1	2	yes	—
112	#379×C₁₃₉	C₂²	1	2	yes	—
113	#379×C₁₃₉	C₂²	1	2	yes	—
114	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
115	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
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	complemented
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
121	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
122	#376×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
123	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
124	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
125	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
126	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
127	C₂×#41×C₁₃₉	—	2	4	no	—
128	C₂×#41×C₁₃₉	—	4	4	no	—
129	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
130	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₁₃₉	—	2	4	no	—
132	C₂²×D₄×C₁₃₉	—	2	8	no	—
133	C₂²×D₄×C₁₃₉	—	4	4	no	—
134	C₂²×D₄×C₁₃₉	—	4	4	no	—
135	C₂²×D₄×C₁₃₉	—	4	4	no	—
136	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
137	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
139	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
140	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
142	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
143	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
144	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
145	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
146	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
147	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
148	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
149	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
150	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
151	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
153	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
154	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
155	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
156	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
157	#126×C₁₃₉	—	2	4	no	—
158	#126×C₁₃₉	—	2	4	no	—
159	#124×C₁₃₉	—	2	4	no	—
160	#124×C₁₃₉	—	2	4	no	—
161	#124×C₁₃₉	—	4	4	no	—
162	#123×C₁₃₉	—	2	4	no	—
163	#123×C₁₃₉	—	2	4	no	—
164	#123×C₁₃₉	—	2	8	no	—
165	#123×C₁₃₉	—	2	4	no	—
166	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
167	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
168	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
169	#121×C₁₃₉	—	2	4	no	—
170	#121×C₁₃₉	—	2	8	no	—
171	#121×C₁₃₉	—	4	4	no	—
172	#121×C₁₃₉	—	4	4	no	—
173	#120×C₁₃₉	—	2	8	no	—
174	#120×C₁₃₉	—	2	4	no	—
175	C₄×D₄×C₁₃₉	—	2	4	no	—
176	C₄×D₄×C₁₃₉	—	2	8	no	—
177	C₄×D₄×C₁₃₉	—	2	4	no	—
178	C₄×D₄×C₁₃₉	—	4	4	no	—
179	C₄×D₄×C₁₃₉	—	4	4	no	—
180	C₄×D₄×C₁₃₉	D₄	1	8	yes	complemented
181	#117×C₁₃₉	—	2	4	no	—
182	#117×C₁₃₉	—	2	4	no	—
183	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
184	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
185	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
186	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
187	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
188	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
189	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
190	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
191	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
192	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
193	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
196	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
197	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
198	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
199	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
200	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
201	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
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	2	yes	—
205	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
206	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
207	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	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	1	yes	characteristic
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	1	yes	characteristic
217	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
218	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
219	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
222	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
223	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
225	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
227	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
229	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
230	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
231	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
232	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
233	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
234	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
235	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
236	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
237	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
239	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
240	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
241	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
242	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
243	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
244	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
245	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
246	#95×C₁₃₉	C₂³	1	1	yes	characteristic
247	#95×C₁₃₉	C₂³	1	1	yes	characteristic
248	#95×C₁₃₉	C₂³	1	2	yes	—
249	#95×C₁₃₉	C₂³	1	2	yes	—
250	#95×C₁₃₉	C₂³	1	2	yes	—
251	#95×C₁₃₉	C₂³	1	2	yes	—
252	#95×C₁₃₉	C₂³	1	2	yes	—
253	#95×C₁₃₉	C₂³	1	2	yes	—
254	#95×C₁₃₉	C₂³	1	2	yes	—
255	#95×C₁₃₉	C₂³	1	1	yes	characteristic
256	#95×C₁₃₉	C₂³	1	1	yes	characteristic
257	#95×C₁₃₉	C₂³	1	2	yes	—
258	#95×C₁₃₉	C₂³	1	2	yes	—
259	#95×C₁₃₉	C₂³	1	2	yes	—
260	#95×C₁₃₉	C₂³	1	2	yes	—
261	C₂⁴×C₁₃₉	—	2	4	no	—
262	C₂⁴×C₁₃₉	—	2	2	no	—
263	C₂⁴×C₁₃₉	—	2	2	no	—
264	C₂⁴×C₁₃₉	—	2	4	no	—
265	C₂⁴×C₁₃₉	—	2	4	no	—
266	C₂⁴×C₁₃₉	—	2	4	no	—
267	C₂⁴×C₁₃₉	—	2	4	no	—
268	C₂⁴×C₁₃₉	—	4	2	no	—
269	C₂⁴×C₁₃₉	—	4	2	no	—
270	C₂⁴×C₁₃₉	—	4	2	no	—
271	C₂⁴×C₁₃₉	—	4	2	no	—
272	C₂⁴×C₁₃₉	—	4	1	no	—
273	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
274	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
275	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
276	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
277	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
278	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
279	#41×C₁₃₉	—	4	16	no	—
280	C₂×Q₈×C₁₃₉	—	2	2	no	—
281	C₂×Q₈×C₁₃₉	—	2	2	no	—
282	C₂×Q₈×C₁₃₉	—	4	2	no	—
283	C₂×Q₈×C₁₃₉	—	4	2	no	—
284	C₂×D₄×C₁₃₉	—	2	4	no	—
285	C₂×D₄×C₁₃₉	—	2	4	no	—
286	C₂×D₄×C₁₃₉	—	2	4	no	—
287	C₂×D₄×C₁₃₉	—	2	4	no	—
288	C₂×D₄×C₁₃₉	—	2	2	no	—
289	C₂×D₄×C₁₃₉	—	2	4	no	—
290	C₂×D₄×C₁₃₉	—	2	2	no	—
291	C₂×D₄×C₁₃₉	—	2	4	no	—
292	C₂×D₄×C₁₃₉	—	2	4	no	—
293	C₂×D₄×C₁₃₉	—	2	4	no	—
294	C₂×D₄×C₁₃₉	—	2	4	no	—
295	C₂×D₄×C₁₃₉	—	2	4	no	—
296	C₂×D₄×C₁₃₉	—	2	2	no	—
297	C₂×D₄×C₁₃₉	—	2	2	no	—
298	C₂×D₄×C₁₃₉	—	2	4	no	—
299	C₂×D₄×C₁₃₉	—	2	2	no	—
300	C₂×D₄×C₁₃₉	—	2	4	no	—
301	C₂×D₄×C₁₃₉	—	2	4	no	—
302	C₂×D₄×C₁₃₉	—	2	4	no	—
303	C₂×D₄×C₁₃₉	—	2	4	no	—
304	C₂×D₄×C₁₃₉	—	4	2	no	—
305	C₂×D₄×C₁₃₉	—	4	2	no	—
306	C₂×D₄×C₁₃₉	—	4	2	no	—
307	C₂×D₄×C₁₃₉	—	4	2	no	—
308	C₂×D₄×C₁₃₉	—	4	2	no	—
309	C₂×D₄×C₁₃₉	—	4	2	no	—
310	C₂×D₄×C₁₃₉	—	4	1	no	—
311	C₂×D₄×C₁₃₉	—	4	2	no	—
312	C₂×D₄×C₁₃₉	—	4	2	no	—
313	C₂×D₄×C₁₃₉	—	4	2	no	—
314	C₂×D₄×C₁₃₉	—	4	2	no	—
315	C₂×D₄×C₁₃₉	—	4	16	no	—
316	C₂×D₄×C₁₃₉	—	4	32	no	—
317	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
318	C₂²×C₄×C₁₃₉	—	2	2	no	—
319	C₂²×C₄×C₁₃₉	—	2	4	no	—
320	C₂²×C₄×C₁₃₉	—	2	2	no	—
321	C₂²×C₄×C₁₃₉	—	2	4	no	—
322	C₂²×C₄×C₁₃₉	—	2	2	no	—
323	C₂²×C₄×C₁₃₉	—	2	4	no	—
324	C₂²×C₄×C₁₃₉	—	2	4	no	—
325	C₂²×C₄×C₁₃₉	—	2	2	no	—
326	C₂²×C₄×C₁₃₉	—	2	4	no	—
327	C₂²×C₄×C₁₃₉	—	4	1	no	—
328	C₂²×C₄×C₁₃₉	—	4	2	no	—
329	C₂²×C₄×C₁₃₉	—	4	2	no	—
330	C₂²×C₄×C₁₃₉	—	4	2	no	—
331	C₂²×C₄×C₁₃₉	—	4	2	no	—
332	C₂²×C₄×C₁₃₉	—	4	2	no	—
333	C₂²×C₄×C₁₃₉	—	4	2	no	—
334	C₂²×C₄×C₁₃₉	—	4	2	no	—
335	C₂²×C₄×C₁₃₉	—	4	2	no	—
336	C₂²×C₄×C₁₃₉	—	4	2	no	—
337	C₂²×C₄×C₁₃₉	—	4	2	no	—
338	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
339	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
340	C₂²×C₄×C₁₃₉	#41	1	8	yes	complemented
341	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
342	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
343	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
344	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
346	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
347	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
348	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
354	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
357	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
358	C₄⋊C₄×C₁₃₉	—	2	2	no	—
359	C₄⋊C₄×C₁₃₉	—	2	2	no	—
360	C₄⋊C₄×C₁₃₉	—	2	2	no	—
361	C₄⋊C₄×C₁₃₉	—	2	2	no	—
362	C₄⋊C₄×C₁₃₉	—	2	2	no	—
363	C₄⋊C₄×C₁₃₉	—	2	2	no	—
364	C₄⋊C₄×C₁₃₉	—	2	4	no	—
365	C₄⋊C₄×C₁₃₉	—	2	2	no	—
366	C₄⋊C₄×C₁₃₉	—	2	2	no	—
367	C₄⋊C₄×C₁₃₉	—	2	4	no	—
368	C₄⋊C₄×C₁₃₉	—	4	2	no	—
369	C₄⋊C₄×C₁₃₉	—	4	2	no	—
370	C₄⋊C₄×C₁₃₉	—	4	2	no	—
371	C₄⋊C₄×C₁₃₉	—	4	2	no	—
372	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
373	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
374	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
375	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
376	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
377	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
378	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
379	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
380	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
381	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
382	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
383	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
384	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
385	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
386	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
387	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
388	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
389	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
390	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
391	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
392	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
393	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
394	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
395	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
396	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
397	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
398	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
399	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
400	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
401	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
402	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
403	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
404	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
405	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
406	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
407	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
408	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
409	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
410	C₄²×C₁₃₉	—	2	2	no	—
411	C₄²×C₁₃₉	—	2	2	no	—
412	C₄²×C₁₃₉	—	2	4	no	—
413	C₄²×C₁₃₉	—	4	2	no	—
414	C₄²×C₁₃₉	—	4	2	no	—
415	C₄²×C₁₃₉	—	4	2	no	—
416	C₄²×C₁₃₉	C₂×D₄	1	4	yes	complemented
417	C₂³×C₁₃₉	—	2	2	no	—
418	C₂³×C₁₃₉	—	2	1	no	—
419	C₂³×C₁₃₉	—	2	1	no	—
420	C₂³×C₁₃₉	—	2	1	no	—
421	C₂³×C₁₃₉	—	2	2	no	—
422	C₂³×C₁₃₉	—	2	2	no	—
423	C₂³×C₁₃₉	—	2	2	no	—
424	C₂³×C₁₃₉	—	2	2	no	—
425	C₂³×C₁₃₉	—	2	2	no	—
426	C₂³×C₁₃₉	—	2	2	no	—
427	C₂³×C₁₃₉	—	2	2	no	—
428	C₂³×C₁₃₉	—	2	2	no	—
429	C₂³×C₁₃₉	—	2	1	no	—
430	C₂³×C₁₃₉	—	2	2	no	—
431	C₂³×C₁₃₉	—	2	2	no	—
432	C₂³×C₁₃₉	—	2	1	no	—
433	C₂³×C₁₃₉	—	2	1	no	—
434	C₂³×C₁₃₉	—	2	1	no	—
435	C₂³×C₁₃₉	—	2	2	no	—
436	C₂³×C₁₃₉	—	2	2	no	—
437	C₂³×C₁₃₉	—	2	2	no	—
438	C₂³×C₁₃₉	—	2	2	no	—
439	C₂³×C₁₃₉	—	2	2	no	—
440	C₂³×C₁₃₉	—	2	2	no	—
441	C₂³×C₁₃₉	—	2	2	no	—
442	C₂³×C₁₃₉	—	2	2	no	—
443	C₂³×C₁₃₉	—	2	1	no	—
444	C₂³×C₁₃₉	—	2	1	no	—
445	C₂³×C₁₃₉	—	2	2	no	—
446	C₂³×C₁₃₉	—	4	8	no	—
447	C₂³×C₁₃₉	—	4	8	no	—
448	C₂³×C₁₃₉	—	4	8	no	—
449	C₂³×C₁₃₉	—	4	4	no	—
450	C₂³×C₁₃₉	—	4	8	no	—
451	C₂³×C₁₃₉	—	4	4	no	—
452	C₂³×C₁₃₉	—	4	8	no	—
453	C₂³×C₁₃₉	—	8	2	no	—
454	C₂³×C₁₃₉	—	8	4	no	—
455	C₂³×C₁₃₉	—	8	4	no	—
456	C₂³×C₁₃₉	—	8	4	no	—
457	C₂³×C₁₃₉	—	8	4	no	—
458	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
459	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
460	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
461	C₂³×C₁₃₉	H(5,𝔽₂)	1	4	yes	—
462	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
463	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
464	Q₈×C₁₃₉	—	4	4	no	—
465	Q₈×C₁₃₉	—	8	2	no	—
466	D₄×C₁₃₉	—	2	16	no	—
467	D₄×C₁₃₉	—	2	8	no	—
468	D₄×C₁₃₉	—	2	8	no	—
469	D₄×C₁₃₉	—	4	8	no	—
470	D₄×C₁₃₉	—	4	8	no	—
471	D₄×C₁₃₉	—	4	8	no	—
472	D₄×C₁₃₉	—	4	4	no	—
473	D₄×C₁₃₉	—	4	8	no	—
474	D₄×C₁₃₉	—	4	4	no	—
475	D₄×C₁₃₉	—	4	8	no	—
476	D₄×C₁₃₉	—	8	2	no	—
477	D₄×C₁₃₉	—	8	4	no	—
478	C₂×C₄×C₁₃₉	—	2	2	no	—
479	C₂×C₄×C₁₃₉	—	2	1	no	—
480	C₂×C₄×C₁₃₉	—	2	2	no	—
481	C₂×C₄×C₁₃₉	—	2	2	no	—
482	C₂×C₄×C₁₃₉	—	2	2	no	—
483	C₂×C₄×C₁₃₉	—	2	2	no	—
484	C₂×C₄×C₁₃₉	—	2	2	no	—
485	C₂×C₄×C₁₃₉	—	2	2	no	—
486	C₂×C₄×C₁₃₉	—	2	2	no	—
487	C₂×C₄×C₁₃₉	—	2	1	no	—
488	C₂×C₄×C₁₃₉	—	2	1	no	—
489	C₂×C₄×C₁₃₉	—	2	1	no	—
490	C₂×C₄×C₁₃₉	—	2	1	no	—
491	C₂×C₄×C₁₃₉	—	2	1	no	—
492	C₂×C₄×C₁₃₉	—	2	1	no	—
493	C₂×C₄×C₁₃₉	—	2	2	no	—
494	C₂×C₄×C₁₃₉	—	2	1	no	—
495	C₂×C₄×C₁₃₉	—	2	2	no	—
496	C₂×C₄×C₁₃₉	—	2	2	no	—
497	C₂×C₄×C₁₃₉	—	2	2	no	—
498	C₂×C₄×C₁₃₉	—	2	2	no	—
499	C₂×C₄×C₁₃₉	—	2	2	no	—
500	C₂×C₄×C₁₃₉	—	2	2	no	—
501	C₂×C₄×C₁₃₉	—	2	2	no	—
502	C₂×C₄×C₁₃₉	—	2	2	no	—
503	C₂×C₄×C₁₃₉	—	2	2	no	—
504	C₂×C₄×C₁₃₉	—	2	2	no	—
505	C₂×C₄×C₁₃₉	—	2	2	no	—
506	C₂×C₄×C₁₃₉	—	2	1	no	—
507	C₂×C₄×C₁₃₉	—	2	1	no	—
508	C₂×C₄×C₁₃₉	—	2	2	no	—
509	C₂×C₄×C₁₃₉	—	2	2	no	—
510	C₂×C₄×C₁₃₉	—	2	2	no	—
511	C₂×C₄×C₁₃₉	—	2	1	no	—
512	C₂×C₄×C₁₃₉	—	2	1	no	—
513	C₂×C₄×C₁₃₉	—	2	2	no	—
514	C₂×C₄×C₁₃₉	—	4	4	no	—
515	C₂×C₄×C₁₃₉	—	4	4	no	—
516	C₂×C₄×C₁₃₉	—	4	8	no	—
517	C₂×C₄×C₁₃₉	—	4	4	no	—
518	C₂×C₄×C₁₃₉	—	4	8	no	—
519	C₂×C₄×C₁₃₉	—	4	4	no	—
520	C₂×C₄×C₁₃₉	—	8	2	no	—
521	C₂×C₄×C₁₃₉	—	8	4	no	—
522	C₂×C₄×C₁₃₉	—	8	4	no	—
523	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
524	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
525	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
526	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
527	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
528	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
529	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
530	C₂²×C₁₃₉	—	2	2	no	—
531	C₂²×C₁₃₉	—	2	2	no	—
532	C₂²×C₁₃₉	—	2	4	no	—
533	C₂²×C₁₃₉	—	2	4	no	—
534	C₂²×C₁₃₉	—	2	2	no	—
535	C₂²×C₁₃₉	—	2	4	no	—
536	C₂²×C₁₃₉	—	2	2	no	—
537	C₂²×C₁₃₉	—	2	2	no	—
538	C₂²×C₁₃₉	—	2	2	no	—
539	C₂²×C₁₃₉	—	2	4	no	—
540	C₂²×C₁₃₉	—	2	4	no	—
541	C₂²×C₁₃₉	—	2	4	no	—
542	C₂²×C₁₃₉	—	4	1	no	—
543	C₂²×C₁₃₉	—	4	2	no	—
544	C₂²×C₁₃₉	—	4	1	no	—
545	C₂²×C₁₃₉	—	4	2	no	—
546	C₂²×C₁₃₉	—	4	2	no	—
547	C₂²×C₁₃₉	—	4	2	no	—
548	C₂²×C₁₃₉	—	4	2	no	—
549	C₂²×C₁₃₉	—	4	2	no	—
550	C₂²×C₁₃₉	—	4	2	no	—
551	C₂²×C₁₃₉	—	4	1	no	—
552	C₂²×C₁₃₉	—	4	2	no	—
553	C₂²×C₁₃₉	—	4	2	no	—
554	C₂²×C₁₃₉	—	4	1	no	—
555	C₂²×C₁₃₉	—	4	2	no	—
556	C₂²×C₁₃₉	—	4	1	no	—
557	C₂²×C₁₃₉	—	4	2	no	—
558	C₂²×C₁₃₉	—	4	2	no	—
559	C₂²×C₁₃₉	—	4	2	no	—
560	C₂²×C₁₃₉	—	4	2	no	—
561	C₂²×C₁₃₉	—	4	2	no	—
562	C₂²×C₁₃₉	—	4	2	no	—
563	C₂²×C₁₃₉	—	8	16	no	—
564	C₂²×C₁₃₉	—	8	8	no	—
565	C₂²×C₁₃₉	#532	1	4	yes	—
566	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
567	C₂²×C₁₃₉	C₂²×#41	1	2	yes	—
568	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	2	yes	—
569	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
570	C₂²×C₁₃₉	#585	1	1	yes	characteristic
571	C₄×C₁₃₉	—	2	2	no	—
572	C₄×C₁₃₉	—	2	2	no	—
573	C₄×C₁₃₉	—	2	2	no	—
574	C₄×C₁₃₉	—	2	2	no	—
575	C₄×C₁₃₉	—	2	2	no	—
576	C₄×C₁₃₉	—	2	4	no	—
577	C₄×C₁₃₉	—	2	4	no	—
578	C₄×C₁₃₉	—	4	1	no	—
579	C₄×C₁₃₉	—	4	1	no	—
580	C₄×C₁₃₉	—	4	2	no	—
581	C₄×C₁₃₉	—	4	1	no	—
582	C₄×C₁₃₉	—	4	1	no	—
583	C₄×C₁₃₉	—	4	1	no	—
584	C₄×C₁₃₉	—	4	2	no	—
585	C₄×C₁₃₉	—	4	1	no	—
586	C₄×C₁₃₉	—	4	2	no	—
587	C₄×C₁₃₉	—	4	2	no	—
588	C₂×C₁₃₉	—	2	4	no	—
589	C₂×C₁₃₉	—	4	2	no	—
590	C₂×C₁₃₉	—	4	4	no	—
591	C₂×C₁₃₉	—	4	2	no	—
592	C₂×C₁₃₉	—	8	2	no	—
593	C₂×C₁₃₉	—	8	1	no	—
594	C₂×C₁₃₉	C₂×#532	1	1	yes	characteristic
595	C₂×C₁₃₉	#3484	1	1	yes	characteristic
596	C₂×C₁₃₉	#3488	1	1	yes	characteristic
597	C₂×C₁₃₉	#3490	1	2	yes	—
598	C₂×C₁₃₉	#3494	1	2	yes	—
599	#35922	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
600	C₁₃₉	#35922	1	1	yes	characteristic, direct product factor, Sylow
601	C₂×#551	C₂×C₁₃₉	1	1	yes	characteristic, complemented
602	C₂×#546	C₂×C₁₃₉	1	1	yes	characteristic, complemented
603	#2662	C₂×C₁₃₉	1	1	yes	characteristic, complemented
604	#2661	C₂×C₁₃₉	1	1	yes	characteristic, complemented
605	#2659	C₂×C₁₃₉	1	1	yes	characteristic, complemented
606	#2610	C₂×C₁₃₉	1	1	yes	characteristic, complemented
607	#2603	C₂×C₁₃₉	1	1	yes	characteristic, complemented
608	#2561	C₂×C₁₃₉	1	1	yes	characteristic, complemented
609	#2555	C₂×C₁₃₉	1	2	yes	complemented
610	#2554	C₂×C₁₃₉	1	2	yes	complemented
611	#2543	C₂×C₁₃₉	1	1	yes	characteristic, complemented
612	#2534	C₂×C₁₃₉	1	2	yes	complemented
613	#2464	C₂×C₁₃₉	1	2	yes	complemented
614	#2461	C₂×C₁₃₉	1	2	yes	complemented
615	#2435	C₂×C₁₃₉	1	1	yes	characteristic, complemented
616	#2430	C₂×C₁₃₉	1	1	yes	characteristic, complemented
617	#2408	C₂×C₁₃₉	1	2	yes	complemented
618	#2392	C₂×C₁₃₉	1	1	yes	characteristic, complemented
619	#2388	C₂×C₁₃₉	1	1	yes	characteristic, complemented
620	C₂×#392	C₂×C₁₃₉	1	1	yes	characteristic, complemented
621	#2342	C₂×C₁₃₉	1	2	yes	complemented
622	D₄×C₂²⋊C₄	C₂×C₁₃₉	1	2	yes	complemented
623	#2275	C₂×C₁₃₉	1	1	yes	characteristic, complemented
624	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
625	C₂³×D₄	C₂²×C₁₃₉	1	2	yes	—
626	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
627	#551	—	2	8	no	—
628	#546	—	2	8	no	—
629	C₂×#126	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
630	C₂×#126	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
631	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
632	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
633	C₂×#124	C₂²×C₁₃₉	1	2	yes	complemented
634	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
635	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
636	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
637	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
638	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
639	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
640	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
641	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
642	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
643	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
644	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
645	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
646	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
647	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
648	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
649	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
650	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
651	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
652	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
653	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
654	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
655	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
656	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
657	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
658	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
659	#398	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
660	#398	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
661	#398	C₂²×C₁₃₉	1	2	yes	complemented
662	#397	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
663	#397	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
664	#396	C₂²×C₁₃₉	1	2	yes	complemented
665	#396	C₂²×C₁₃₉	1	2	yes	complemented
666	#395	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
667	#395	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
668	#395	C₂²×C₁₃₉	1	2	yes	complemented
669	#394	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
670	#394	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
671	#394	C₂²×C₁₃₉	1	2	yes	complemented
672	#394	C₂²×C₁₃₉	1	2	yes	complemented
673	#394	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
674	#394	C₂²×C₁₃₉	1	2	yes	complemented
675	#394	C₂²×C₁₃₉	1	2	yes	complemented
676	#394	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
677	#393	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
678	#393	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
679	#392	C₂²×C₁₃₉	1	1	yes	characteristic
680	#392	C₂²×C₁₃₉	1	1	yes	characteristic
681	#392	C₂²×C₁₃₉	1	1	yes	characteristic
682	#392	C₂²×C₁₃₉	1	1	yes	characteristic
683	#392	C₂²×C₁₃₉	1	2	yes	—
684	#392	C₂²×C₁₃₉	1	2	yes	—
685	#392	C₂²×C₁₃₉	1	2	yes	complemented
686	#392	C₂²×C₁₃₉	1	2	yes	complemented
687	#390	C₂²×C₁₃₉	1	2	yes	complemented
688	#390	C₂²×C₁₃₉	1	2	yes	complemented
689	#390	C₂²×C₁₃₉	1	2	yes	complemented
690	#390	C₂²×C₁₃₉	1	2	yes	complemented
691	#390	C₂²×C₁₃₉	1	2	yes	complemented
692	#388	C₂²×C₁₃₉	1	2	yes	complemented
693	#388	C₂²×C₁₃₉	1	2	yes	complemented
694	#388	C₂²×C₁₃₉	1	2	yes	complemented
695	#388	C₂²×C₁₃₉	1	2	yes	complemented
696	#388	C₂²×C₁₃₉	1	2	yes	complemented
697	#388	C₂²×C₁₃₉	1	2	yes	complemented
698	#388	C₂²×C₁₃₉	1	2	yes	complemented
699	#388	C₂²×C₁₃₉	1	2	yes	complemented
700	#386	C₂²×C₁₃₉	1	2	yes	complemented
701	#386	C₂²×C₁₃₉	1	2	yes	complemented
702	#386	C₂²×C₁₃₉	1	2	yes	complemented
703	#386	C₂²×C₁₃₉	1	2	yes	complemented
704	#386	C₂²×C₁₃₉	1	2	yes	complemented
705	#386	C₂²×C₁₃₉	1	2	yes	complemented
706	#385	C₂²×C₁₃₉	1	2	yes	complemented
707	#385	C₂²×C₁₃₉	1	2	yes	complemented
708	#381	C₂²×C₁₃₉	1	2	yes	—
709	#380	C₂²×C₁₃₉	1	2	yes	—
710	#380	C₂²×C₁₃₉	1	2	yes	—
711	#379	C₂²×C₁₃₉	1	2	yes	—
712	#379	C₂²×C₁₃₉	1	2	yes	—
713	#379	C₂²×C₁₃₉	1	2	yes	—
714	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
715	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
716	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
717	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
718	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
719	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
720	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
721	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
722	#376	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
723	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
724	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
725	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
726	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
727	C₂×#41	—	2	4	no	—
728	C₂×#41	—	4	4	no	—
729	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
730	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
731	C₂²×D₄	—	2	4	no	—
732	C₂²×D₄	—	2	8	no	—
733	C₂²×D₄	—	4	4	no	—
734	C₂²×D₄	—	4	4	no	—
735	C₂²×D₄	—	4	4	no	—
736	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
737	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
738	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
739	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
740	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
741	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
742	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
743	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
744	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
745	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
746	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
747	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
748	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
749	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
750	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
751	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
752	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
753	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
754	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
755	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
756	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
757	#126	—	2	4	no	—
758	#126	—	2	4	no	—
759	#124	—	2	4	no	—
760	#124	—	2	4	no	—
761	#124	—	4	4	no	—
762	#123	—	2	4	no	—
763	#123	—	2	4	no	—
764	#123	—	2	8	no	—
765	#123	—	2	4	no	—
766	C₂²⋊Q₈	—	2	4	no	—
767	C₂²⋊Q₈	—	2	4	no	—
768	C₂²⋊Q₈	—	2	4	no	—
769	#121	—	2	4	no	—
770	#121	—	2	8	no	—
771	#121	—	4	4	no	—
772	#121	—	4	4	no	—
773	#120	—	2	8	no	—
774	#120	—	2	4	no	—
775	C₄×D₄	—	2	4	no	—
776	C₄×D₄	—	2	8	no	—
777	C₄×D₄	—	2	4	no	—
778	C₄×D₄	—	4	4	no	—
779	C₄×D₄	—	4	4	no	—
780	C₄×D₄	D₄×C₁₃₉	1	8	yes	complemented
781	#117	—	2	4	no	—
782	#117	—	2	4	no	—
783	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
784	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
785	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
786	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
787	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
788	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
789	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
790	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
791	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
792	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
793	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
794	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
795	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
796	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
797	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
798	C₂×C₂²⋊C₄	—	2	4	no	—
799	C₂×C₂²⋊C₄	—	2	8	no	—
800	C₂×C₂²⋊C₄	—	2	8	no	—
801	C₂×C₂²⋊C₄	—	2	4	no	—
802	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
803	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
804	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
805	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
806	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
807	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
808	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
809	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
810	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
811	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
812	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
813	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
814	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
815	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
816	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
817	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
818	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
819	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
820	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
821	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
822	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
823	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
824	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
825	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
826	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
827	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
828	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
829	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
830	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
831	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
832	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
833	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
834	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
835	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
836	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
837	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
838	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
839	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
840	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
841	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
842	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
843	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
844	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
845	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
846	#95	C₂³×C₁₃₉	1	1	yes	characteristic
847	#95	C₂³×C₁₃₉	1	1	yes	characteristic
848	#95	C₂³×C₁₃₉	1	2	yes	—
849	#95	C₂³×C₁₃₉	1	2	yes	—
850	#95	C₂³×C₁₃₉	1	1	yes	characteristic
851	#95	C₂³×C₁₃₉	1	2	yes	—
852	#95	C₂³×C₁₃₉	1	1	yes	characteristic
853	#95	C₂³×C₁₃₉	1	2	yes	—
854	#95	C₂³×C₁₃₉	1	2	yes	—
855	#95	C₂³×C₁₃₉	1	2	yes	—
856	#95	C₂³×C₁₃₉	1	2	yes	—
857	#95	C₂³×C₁₃₉	1	2	yes	—
858	#95	C₂³×C₁₃₉	1	2	yes	—
859	#95	C₂³×C₁₃₉	1	2	yes	—
860	#95	C₂³×C₁₃₉	1	2	yes	—
861	C₂⁴	—	2	4	no	—
862	C₂⁴	—	2	2	no	—
863	C₂⁴	—	2	2	no	—
864	C₂⁴	—	2	4	no	—
865	C₂⁴	—	2	4	no	—
866	C₂⁴	—	2	4	no	—
867	C₂⁴	—	2	4	no	—
868	C₂⁴	—	4	2	no	—
869	C₂⁴	—	4	2	no	—
870	C₂⁴	—	4	2	no	—
871	C₂⁴	—	4	2	no	—
872	C₂⁴	—	4	1	no	—
873	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
874	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
875	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
876	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
877	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
878	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
879	#41	—	4	16	no	—
880	C₂×Q₈	—	2	2	no	—
881	C₂×Q₈	—	2	2	no	—
882	C₂×Q₈	—	4	2	no	—
883	C₂×Q₈	—	4	2	no	—
884	C₂×D₄	—	2	4	no	—
885	C₂×D₄	—	2	4	no	—
886	C₂×D₄	—	2	4	no	—
887	C₂×D₄	—	2	4	no	—
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	—	2	4	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	4	no	—
892	C₂×D₄	—	2	4	no	—
893	C₂×D₄	—	2	4	no	—
894	C₂×D₄	—	2	4	no	—
895	C₂×D₄	—	2	4	no	—
896	C₂×D₄	—	2	2	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	4	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	4	no	—
901	C₂×D₄	—	2	4	no	—
902	C₂×D₄	—	2	4	no	—
903	C₂×D₄	—	2	4	no	—
904	C₂×D₄	—	4	2	no	—
905	C₂×D₄	—	4	2	no	—
906	C₂×D₄	—	4	2	no	—
907	C₂×D₄	—	4	2	no	—
908	C₂×D₄	—	4	2	no	—
909	C₂×D₄	—	4	2	no	—
910	C₂×D₄	—	4	1	no	—
911	C₂×D₄	—	4	2	no	—
912	C₂×D₄	—	4	2	no	—
913	C₂×D₄	—	4	2	no	—
914	C₂×D₄	—	4	2	no	—
915	C₂×D₄	—	4	16	no	—
916	C₂×D₄	—	4	32	no	—
917	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	4	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	4	no	—
922	C₂²×C₄	—	2	2	no	—
923	C₂²×C₄	—	2	4	no	—
924	C₂²×C₄	—	2	4	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	—	2	4	no	—
927	C₂²×C₄	—	4	1	no	—
928	C₂²×C₄	—	4	2	no	—
929	C₂²×C₄	—	4	2	no	—
930	C₂²×C₄	—	4	2	no	—
931	C₂²×C₄	—	4	2	no	—
932	C₂²×C₄	—	4	2	no	—
933	C₂²×C₄	—	4	2	no	—
934	C₂²×C₄	—	4	2	no	—
935	C₂²×C₄	—	4	2	no	—
936	C₂²×C₄	—	4	2	no	—
937	C₂²×C₄	—	4	2	no	—
938	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
939	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
940	C₂²×C₄	#41×C₁₃₉	1	8	yes	complemented
941	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
942	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
943	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
944	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
945	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
946	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
947	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
948	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
949	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
950	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
951	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
952	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
953	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
954	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
955	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
956	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
957	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	4	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	4	no	—
968	C₄⋊C₄	—	4	2	no	—
969	C₄⋊C₄	—	4	2	no	—
970	C₄⋊C₄	—	4	2	no	—
971	C₄⋊C₄	—	4	2	no	—
972	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
973	C₂²⋊C₄	—	2	4	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	4	no	—
979	C₂²⋊C₄	—	2	4	no	—
980	C₂²⋊C₄	—	2	4	no	—
981	C₂²⋊C₄	—	2	4	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	4	no	—
984	C₂²⋊C₄	—	2	4	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	4	no	—
992	C₂²⋊C₄	—	2	4	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	4	no	—
995	C₂²⋊C₄	—	2	4	no	—
996	C₂²⋊C₄	—	2	4	no	—
997	C₂²⋊C₄	—	2	4	no	—
998	C₂²⋊C₄	—	2	4	no	—
999	C₂²⋊C₄	—	4	2	no	—
1000	C₂²⋊C₄	—	4	2	no	—
1001	C₂²⋊C₄	—	4	2	no	—
1002	C₂²⋊C₄	—	4	2	no	—
1003	C₂²⋊C₄	—	4	2	no	—
1004	C₂²⋊C₄	—	4	2	no	—
1005	C₂²⋊C₄	—	4	2	no	—
1006	C₂²⋊C₄	—	4	2	no	—
1007	C₂²⋊C₄	—	4	2	no	—
1008	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1009	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
1010	C₄²	—	2	2	no	—
1011	C₄²	—	2	2	no	—
1012	C₄²	—	2	4	no	—
1013	C₄²	—	4	2	no	—
1014	C₄²	—	4	2	no	—
1015	C₄²	—	4	2	no	—
1016	C₄²	C₂×D₄×C₁₃₉	1	4	yes	complemented
1017	C₂³	—	2	2	no	—
1018	C₂³	—	2	1	no	—
1019	C₂³	—	2	1	no	—
1020	C₂³	—	2	1	no	—
1021	C₂³	—	2	2	no	—
1022	C₂³	—	2	2	no	—
1023	C₂³	—	2	2	no	—
1024	C₂³	—	2	2	no	—
1025	C₂³	—	2	2	no	—
1026	C₂³	—	2	2	no	—
1027	C₂³	—	2	2	no	—
1028	C₂³	—	2	2	no	—
1029	C₂³	—	2	1	no	—
1030	C₂³	—	2	2	no	—
1031	C₂³	—	2	2	no	—
1032	C₂³	—	2	1	no	—
1033	C₂³	—	2	1	no	—
1034	C₂³	—	2	1	no	—
1035	C₂³	—	2	2	no	—
1036	C₂³	—	2	2	no	—
1037	C₂³	—	2	2	no	—
1038	C₂³	—	2	2	no	—
1039	C₂³	—	2	2	no	—
1040	C₂³	—	2	2	no	—
1041	C₂³	—	2	2	no	—
1042	C₂³	—	2	2	no	—
1043	C₂³	—	2	1	no	—
1044	C₂³	—	2	1	no	—
1045	C₂³	—	2	2	no	—
1046	C₂³	—	4	8	no	—
1047	C₂³	—	4	8	no	—
1048	C₂³	—	4	8	no	—
1049	C₂³	—	4	4	no	—
1050	C₂³	—	4	8	no	—
1051	C₂³	—	4	4	no	—
1052	C₂³	—	4	8	no	—
1053	C₂³	—	8	2	no	—
1054	C₂³	—	8	4	no	—
1055	C₂³	—	8	4	no	—
1056	C₂³	—	8	4	no	—
1057	C₂³	—	8	4	no	—
1058	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1059	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1060	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
1061	C₂³	H(5,𝔽₂)×C₁₃₉	1	4	yes	—
1062	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1063	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1064	Q₈	—	4	4	no	—
1065	Q₈	—	8	2	no	—
1066	D₄	—	2	8	no	—
1067	D₄	—	2	16	no	—
1068	D₄	—	2	8	no	—
1069	D₄	—	4	8	no	—
1070	D₄	—	4	8	no	—
1071	D₄	—	4	8	no	—
1072	D₄	—	4	4	no	—
1073	D₄	—	4	8	no	—
1074	D₄	—	4	8	no	—
1075	D₄	—	4	4	no	—
1076	D₄	—	8	2	no	—
1077	D₄	—	8	4	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	2	2	no	—
1085	C₂×C₄	—	2	2	no	—
1086	C₂×C₄	—	2	2	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	1	no	—
1092	C₂×C₄	—	2	1	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	2	1	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	2	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	2	2	no	—
1102	C₂×C₄	—	2	2	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	2	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	2	no	—
1109	C₂×C₄	—	2	2	no	—
1110	C₂×C₄	—	2	2	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	2	no	—
1114	C₂×C₄	—	4	4	no	—
1115	C₂×C₄	—	4	4	no	—
1116	C₂×C₄	—	4	8	no	—
1117	C₂×C₄	—	4	8	no	—
1118	C₂×C₄	—	4	4	no	—
1119	C₂×C₄	—	4	4	no	—
1120	C₂×C₄	—	8	2	no	—
1121	C₂×C₄	—	8	4	no	—
1122	C₂×C₄	—	8	4	no	—
1123	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1124	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1125	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1126	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1127	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1128	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
1129	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
1130	C₂²	—	2	2	no	—
1131	C₂²	—	2	2	no	—
1132	C₂²	—	2	4	no	—
1133	C₂²	—	2	4	no	—
1134	C₂²	—	2	2	no	—
1135	C₂²	—	2	4	no	—
1136	C₂²	—	2	2	no	—
1137	C₂²	—	2	2	no	—
1138	C₂²	—	2	2	no	—
1139	C₂²	—	2	4	no	—
1140	C₂²	—	2	4	no	—
1141	C₂²	—	2	4	no	—
1142	C₂²	—	4	1	no	—
1143	C₂²	—	4	2	no	—
1144	C₂²	—	4	1	no	—
1145	C₂²	—	4	2	no	—
1146	C₂²	—	4	2	no	—
1147	C₂²	—	4	2	no	—
1148	C₂²	—	4	2	no	—
1149	C₂²	—	4	2	no	—
1150	C₂²	—	4	2	no	—
1151	C₂²	—	4	1	no	—
1152	C₂²	—	4	2	no	—
1153	C₂²	—	4	2	no	—
1154	C₂²	—	4	1	no	—
1155	C₂²	—	4	2	no	—
1156	C₂²	—	4	1	no	—
1157	C₂²	—	4	2	no	—
1158	C₂²	—	4	2	no	—
1159	C₂²	—	4	2	no	—
1160	C₂²	—	4	2	no	—
1161	C₂²	—	4	2	no	—
1162	C₂²	—	4	2	no	—
1163	C₂²	—	8	16	no	—
1164	C₂²	—	8	8	no	—
1165	C₂²	#532×C₁₃₉	1	4	yes	—
1166	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1167	C₂²	C₂²×#41×C₁₃₉	1	2	yes	—
1168	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1169	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1170	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1171	C₄	—	2	2	no	—
1172	C₄	—	2	2	no	—
1173	C₄	—	2	2	no	—
1174	C₄	—	2	2	no	—
1175	C₄	—	2	2	no	—
1176	C₄	—	2	4	no	—
1177	C₄	—	2	4	no	—
1178	C₄	—	4	1	no	—
1179	C₄	—	4	1	no	—
1180	C₄	—	4	2	no	—
1181	C₄	—	4	1	no	—
1182	C₄	—	4	1	no	—
1183	C₄	—	4	1	no	—
1184	C₄	—	4	2	no	—
1185	C₄	—	4	1	no	—
1186	C₄	—	4	2	no	—
1187	C₄	—	4	2	no	—
1188	C₂	—	2	4	no	—
1189	C₂	—	4	4	no	—
1190	C₂	—	4	2	no	—
1191	C₂	—	4	2	no	—
1192	C₂	—	8	2	no	—
1193	C₂	—	8	1	no	—
1194	C₂	C₂×#532×C₁₃₉	1	1	yes	characteristic
1195	C₂	#3484×C₁₃₉	1	1	yes	characteristic
1196	C₂	#3488×C₁₃₉	1	1	yes	characteristic
1197	C₂	#3490×C₁₃₉	1	2	yes	—
1198	C₂	#3494×C₁₃₉	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃₉ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂×#551×C₁₃₉	C₂	semidirect
2. C₂×#546×C₁₃₉	C₂	semidirect
3. #2662×C₁₃₉	C₂	semidirect
4. #2661×C₁₃₉	C₂	semidirect
5. #2659×C₁₃₉	C₂	semidirect
6. #2610×C₁₃₉	C₂	semidirect
7. #2603×C₁₃₉	C₂	semidirect
8. #2561×C₁₃₉	C₂	semidirect
9. #2555×C₁₃₉	C₂	semidirect
10. #2554×C₁₃₉	C₂	semidirect
11. #2543×C₁₃₉	C₂	semidirect
12. #2534×C₁₃₉	C₂	semidirect
13. #2464×C₁₃₉	C₂	semidirect
14. #2461×C₁₃₉	C₂	semidirect
15. #2435×C₁₃₉	C₂	semidirect
16. #2430×C₁₃₉	C₂	semidirect
17. #2408×C₁₃₉	C₂	semidirect
18. #2392×C₁₃₉	C₂	semidirect
19. #2388×C₁₃₉	C₂	semidirect
20. C₂×#392×C₁₃₉	C₂	semidirect
21. #2342×C₁₃₉	C₂	semidirect
22. D₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
23. #2275×C₁₃₉	C₂	semidirect
24. C₂²×#41×C₁₃₉	C₂²	semidirect
29. C₂×#126×C₁₃₉	C₂²	semidirect
30. C₂×#126×C₁₃₉	C₂²	semidirect
31. C₂×#124×C₁₃₉	C₂²	semidirect
32. C₂×#124×C₁₃₉	C₂²	semidirect
33. C₂×#124×C₁₃₉	C₂²	semidirect
35. C₂×#123×C₁₃₉	C₂²	semidirect
36. C₂×#123×C₁₃₉	C₂²	semidirect
37. C₂×#123×C₁₃₉	C₂²	semidirect
40. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
41. C₂×#121×C₁₃₉	C₂²	semidirect
42. C₂×#121×C₁₃₉	C₂²	semidirect
43. C₂×#121×C₁₃₉	C₂²	semidirect
44. C₂×#121×C₁₃₉	C₂²	semidirect
49. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
50. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
51. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
52. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
54. C₂×#117×C₁₃₉	C₂²	semidirect
59. #398×C₁₃₉	C₂²	semidirect
60. #398×C₁₃₉	C₂²	semidirect
61. #398×C₁₃₉	C₂²	semidirect
62. #397×C₁₃₉	C₂²	semidirect
63. #397×C₁₃₉	C₂²	semidirect
64. #396×C₁₃₉	C₂²	semidirect
65. #396×C₁₃₉	C₂²	semidirect
66. #395×C₁₃₉	C₂²	semidirect
67. #395×C₁₃₉	C₂²	semidirect
68. #395×C₁₃₉	C₂²	semidirect
69. #394×C₁₃₉	C₂²	semidirect
70. #394×C₁₃₉	C₂²	semidirect
71. #394×C₁₃₉	C₂²	semidirect
72. #394×C₁₃₉	C₂²	semidirect
73. #394×C₁₃₉	C₂²	semidirect
74. #394×C₁₃₉	C₂²	semidirect
75. #394×C₁₃₉	C₂²	semidirect
76. #394×C₁₃₉	C₂²	semidirect
77. #393×C₁₃₉	C₂²	semidirect
78. #393×C₁₃₉	C₂²	semidirect
85. #392×C₁₃₉	C₂²	semidirect
86. #392×C₁₃₉	C₂²	semidirect
87. #390×C₁₃₉	C₂²	semidirect
88. #390×C₁₃₉	C₂²	semidirect
89. #390×C₁₃₉	C₂²	semidirect
90. #390×C₁₃₉	C₂²	semidirect
91. #390×C₁₃₉	C₂²	semidirect
92. #388×C₁₃₉	C₂²	semidirect
93. #388×C₁₃₉	C₂²	semidirect
94. #388×C₁₃₉	C₂²	semidirect
95. #388×C₁₃₉	C₂²	semidirect
96. #388×C₁₃₉	C₂²	semidirect
97. #388×C₁₃₉	C₂²	semidirect
98. #388×C₁₃₉	C₂²	semidirect
99. #388×C₁₃₉	C₂²	semidirect
100. #386×C₁₃₉	C₂²	semidirect
101. #386×C₁₃₉	C₂²	semidirect
102. #386×C₁₃₉	C₂²	semidirect
103. #386×C₁₃₉	C₂²	semidirect
104. #386×C₁₃₉	C₂²	semidirect
105. #386×C₁₃₉	C₂²	semidirect
106. #385×C₁₃₉	C₂²	semidirect
107. #385×C₁₃₉	C₂²	semidirect
114. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
115. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
118. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
119. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
120. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
121. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
122. #376×C₁₃₉	C₂²	semidirect
124. C₂×#95×C₁₃₉	C₂²	semidirect
180. C₄×D₄×C₁₃₉	D₄	semidirect
339. C₂²×C₄×C₁₃₉	C₂×D₄	semidirect
340. C₂²×C₄×C₁₃₉	#41	semidirect
372. C₄⋊C₄×C₁₃₉	C₂×D₄	semidirect
409. C₂²⋊C₄×C₁₃₉	C₂×D₄	semidirect
416. C₄²×C₁₃₉	C₂×D₄	semidirect
599. #35922	C₁₃₉	direct (N × H)
600. C₁₃₉	#35922	direct (N × H)
601. C₂×#551	C₂×C₁₃₉	semidirect
602. C₂×#546	C₂×C₁₃₉	semidirect
603. #2662	C₂×C₁₃₉	semidirect
604. #2661	C₂×C₁₃₉	semidirect
605. #2659	C₂×C₁₃₉	semidirect
606. #2610	C₂×C₁₃₉	semidirect
607. #2603	C₂×C₁₃₉	semidirect
608. #2561	C₂×C₁₃₉	semidirect
609. #2555	C₂×C₁₃₉	semidirect
610. #2554	C₂×C₁₃₉	semidirect
611. #2543	C₂×C₁₃₉	semidirect
612. #2534	C₂×C₁₃₉	semidirect
613. #2464	C₂×C₁₃₉	semidirect
614. #2461	C₂×C₁₃₉	semidirect
615. #2435	C₂×C₁₃₉	semidirect
616. #2430	C₂×C₁₃₉	semidirect
617. #2408	C₂×C₁₃₉	semidirect
618. #2392	C₂×C₁₃₉	semidirect
619. #2388	C₂×C₁₃₉	semidirect
620. C₂×#392	C₂×C₁₃₉	semidirect
621. #2342	C₂×C₁₃₉	semidirect
622. D₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
623. #2275	C₂×C₁₃₉	semidirect
624. C₂²×#41	C₂²×C₁₃₉	semidirect
629. C₂×#126	C₂²×C₁₃₉	semidirect
630. C₂×#126	C₂²×C₁₃₉	semidirect
631. C₂×#124	C₂²×C₁₃₉	semidirect
632. C₂×#124	C₂²×C₁₃₉	semidirect
633. C₂×#124	C₂²×C₁₃₉	semidirect
635. C₂×#123	C₂²×C₁₃₉	semidirect
636. C₂×#123	C₂²×C₁₃₉	semidirect
637. C₂×#123	C₂²×C₁₃₉	semidirect
640. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
641. C₂×#121	C₂²×C₁₃₉	semidirect
642. C₂×#121	C₂²×C₁₃₉	semidirect
643. C₂×#121	C₂²×C₁₃₉	semidirect
644. C₂×#121	C₂²×C₁₃₉	semidirect
649. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
650. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
651. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
652. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
654. C₂×#117	C₂²×C₁₃₉	semidirect
659. #398	C₂²×C₁₃₉	semidirect
660. #398	C₂²×C₁₃₉	semidirect
661. #398	C₂²×C₁₃₉	semidirect
662. #397	C₂²×C₁₃₉	semidirect
663. #397	C₂²×C₁₃₉	semidirect
664. #396	C₂²×C₁₃₉	semidirect
665. #396	C₂²×C₁₃₉	semidirect
666. #395	C₂²×C₁₃₉	semidirect
667. #395	C₂²×C₁₃₉	semidirect
668. #395	C₂²×C₁₃₉	semidirect
669. #394	C₂²×C₁₃₉	semidirect
670. #394	C₂²×C₁₃₉	semidirect
671. #394	C₂²×C₁₃₉	semidirect
672. #394	C₂²×C₁₃₉	semidirect
673. #394	C₂²×C₁₃₉	semidirect
674. #394	C₂²×C₁₃₉	semidirect
675. #394	C₂²×C₁₃₉	semidirect
676. #394	C₂²×C₁₃₉	semidirect
677. #393	C₂²×C₁₃₉	semidirect
678. #393	C₂²×C₁₃₉	semidirect
685. #392	C₂²×C₁₃₉	semidirect
686. #392	C₂²×C₁₃₉	semidirect
687. #390	C₂²×C₁₃₉	semidirect
688. #390	C₂²×C₁₃₉	semidirect
689. #390	C₂²×C₁₃₉	semidirect
690. #390	C₂²×C₁₃₉	semidirect
691. #390	C₂²×C₁₃₉	semidirect
692. #388	C₂²×C₁₃₉	semidirect
693. #388	C₂²×C₁₃₉	semidirect
694. #388	C₂²×C₁₃₉	semidirect
695. #388	C₂²×C₁₃₉	semidirect
696. #388	C₂²×C₁₃₉	semidirect
697. #388	C₂²×C₁₃₉	semidirect
698. #388	C₂²×C₁₃₉	semidirect
699. #388	C₂²×C₁₃₉	semidirect
700. #386	C₂²×C₁₃₉	semidirect
701. #386	C₂²×C₁₃₉	semidirect
702. #386	C₂²×C₁₃₉	semidirect
703. #386	C₂²×C₁₃₉	semidirect
704. #386	C₂²×C₁₃₉	semidirect
705. #386	C₂²×C₁₃₉	semidirect
706. #385	C₂²×C₁₃₉	semidirect
707. #385	C₂²×C₁₃₉	semidirect
714. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
715. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
718. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
719. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
720. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
721. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
722. #376	C₂²×C₁₃₉	semidirect
724. C₂×#95	C₂²×C₁₃₉	semidirect
780. C₄×D₄	D₄×C₁₃₉	semidirect
939. C₂²×C₄	C₂×D₄×C₁₃₉	semidirect
940. C₂²×C₄	#41×C₁₃₉	semidirect
972. C₄⋊C₄	C₂×D₄×C₁₃₉	semidirect
1009. C₂²⋊C₄	C₂×D₄×C₁₃₉	semidirect
1016. C₄²	C₂×D₄×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#551×C₁₃₉	2
C₂×#546×C₁₃₉	2
#2662×C₁₃₉	2
#2661×C₁₃₉	2
#2659×C₁₃₉	2
#2610×C₁₃₉	2
#2603×C₁₃₉	2
#2561×C₁₃₉	2
#2555×C₁₃₉	2
#2554×C₁₃₉	2
#2543×C₁₃₉	2
#2534×C₁₃₉	2
#2464×C₁₃₉	2
#2461×C₁₃₉	2
#2435×C₁₃₉	2
#2430×C₁₃₉	2
#2408×C₁₃₉	2
#2392×C₁₃₉	2
#2388×C₁₃₉	2
C₂×#392×C₁₃₉	2
#2342×C₁₃₉	2
D₄×C₂²⋊C₄×C₁₃₉	2
#2275×C₁₃₉	2
#35922	139

Subgroups — C139×#35922 #48030518

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#35922 #48030518