Subgroups — C₁₃₉×#35906 #48030502

Order 35584.

2848 conjugacy classes of subgroups.

The subgroup lattice has 1192 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#553×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	#2639×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	#2583×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2559×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2558×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2543×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2445×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2433×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2430×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2428×C₁₃₉	C₂	1	2	yes	maximal, complemented
16	#2424×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2424×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×#394×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2358×C₁₃₉	C₂	1	2	yes	maximal, complemented
22	#2358×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
25	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
26	#553×C₁₃₉	—	2	8	no	—
27	#546×C₁₃₉	—	2	8	no	—
28	C₂×#127×C₁₃₉	C₂²	1	2	yes	—
29	C₂×#126×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
30	C₂×#126×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
31	C₂×#125×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
32	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
34	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
35	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
39	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
41	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
42	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, 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	2	yes	—
47	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
48	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
49	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
51	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
52	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
53	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
55	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
56	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
57	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
58	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
59	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
60	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
61	#400×C₁₃₉	C₂²	1	2	yes	complemented
62	#398×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
63	#398×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
64	#397×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
65	#397×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
66	#396×C₁₃₉	C₂²	1	2	yes	complemented
67	#396×C₁₃₉	C₂²	1	2	yes	complemented
68	#395×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
69	#395×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
70	#394×C₁₃₉	C₂²	1	1	yes	characteristic
71	#394×C₁₃₉	C₂²	1	2	yes	—
72	#394×C₁₃₉	C₂²	1	2	yes	—
73	#394×C₁₃₉	C₂²	1	1	yes	characteristic
74	#394×C₁₃₉	C₂²	1	1	yes	characteristic
75	#394×C₁₃₉	C₂²	1	1	yes	characteristic
76	#394×C₁₃₉	C₂²	1	2	yes	complemented
77	#394×C₁₃₉	C₂²	1	2	yes	complemented
78	#394×C₁₃₉	C₂²	1	2	yes	complemented
79	#394×C₁₃₉	C₂²	1	2	yes	complemented
80	#394×C₁₃₉	C₂²	1	2	yes	complemented
81	#393×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
82	#393×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
83	#392×C₁₃₉	C₂²	1	1	yes	characteristic
84	#392×C₁₃₉	C₂²	1	1	yes	characteristic
85	#392×C₁₃₉	C₂²	1	1	yes	characteristic
86	#392×C₁₃₉	C₂²	1	1	yes	characteristic
87	#392×C₁₃₉	C₂²	1	2	yes	complemented
88	#392×C₁₃₉	C₂²	1	2	yes	complemented
89	#390×C₁₃₉	C₂²	1	2	yes	—
90	#390×C₁₃₉	C₂²	1	2	yes	complemented
91	#390×C₁₃₉	C₂²	1	2	yes	complemented
92	#390×C₁₃₉	C₂²	1	2	yes	complemented
93	#390×C₁₃₉	C₂²	1	2	yes	complemented
94	#389×C₁₃₉	C₂²	1	2	yes	complemented
95	#389×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	#388×C₁₃₉	C₂²	1	2	yes	complemented
101	#388×C₁₃₉	C₂²	1	2	yes	complemented
102	#386×C₁₃₉	C₂²	1	2	yes	—
103	#386×C₁₃₉	C₂²	1	2	yes	—
104	#386×C₁₃₉	C₂²	1	2	yes	complemented
105	#386×C₁₃₉	C₂²	1	2	yes	complemented
106	#386×C₁₃₉	C₂²	1	2	yes	complemented
107	#386×C₁₃₉	C₂²	1	2	yes	complemented
108	#386×C₁₃₉	C₂²	1	2	yes	complemented
109	#386×C₁₃₉	C₂²	1	2	yes	complemented
110	#385×C₁₃₉	C₂²	1	2	yes	—
111	#385×C₁₃₉	C₂²	1	2	yes	—
112	#385×C₁₃₉	C₂²	1	2	yes	complemented
113	#385×C₁₃₉	C₂²	1	2	yes	complemented
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	2	yes	—
126	C₂×#41×C₁₃₉	—	2	4	no	—
127	C₂×#41×C₁₃₉	—	4	4	no	—
128	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
129	C₂²×D₄×C₁₃₉	—	2	4	no	—
130	C₂²×D₄×C₁₃₉	—	4	4	no	—
131	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
132	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
133	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
134	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
135	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
136	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
137	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
138	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
139	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
145	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
146	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
147	C₂³×C₄×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	2	yes	—
152	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	#127×C₁₃₉	—	4	4	no	—
157	#126×C₁₃₉	—	2	4	no	—
158	#126×C₁₃₉	—	2	4	no	—
159	#125×C₁₃₉	—	2	4	no	—
160	#124×C₁₃₉	—	2	4	no	—
161	#123×C₁₃₉	—	2	4	no	—
162	#123×C₁₃₉	—	2	8	no	—
163	#123×C₁₃₉	—	2	4	no	—
164	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
165	#121×C₁₃₉	—	2	4	no	—
166	#121×C₁₃₉	—	2	4	no	—
167	#121×C₁₃₉	—	2	4	no	—
168	#121×C₁₃₉	—	2	4	no	—
169	#121×C₁₃₉	—	2	8	no	—
170	#121×C₁₃₉	—	2	4	no	—
171	#121×C₁₃₉	—	4	4	no	—
172	#121×C₁₃₉	—	4	4	no	—
173	#120×C₁₃₉	—	2	8	no	—
174	#120×C₁₃₉	—	2	8	no	—
175	#120×C₁₃₉	—	2	8	no	—
176	C₄×D₄×C₁₃₉	—	2	4	no	—
177	C₄×D₄×C₁₃₉	—	2	4	no	—
178	C₄×D₄×C₁₃₉	—	2	4	no	—
179	C₄×D₄×C₁₃₉	—	2	8	no	—
180	C₄×D₄×C₁₃₉	—	2	4	no	—
181	C₄×D₄×C₁₃₉	—	4	4	no	—
182	C₄×D₄×C₁₃₉	—	4	4	no	—
183	C₄×D₄×C₁₃₉	D₄	1	8	yes	complemented
184	#117×C₁₃₉	—	2	4	no	—
185	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
186	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
187	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
188	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
189	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
190	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
191	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
192	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
193	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
194	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
196	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
197	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
198	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
199	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
200	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
201	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
202	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
204	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
205	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
206	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
207	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
208	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
209	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
210	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
211	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
214	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
215	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
216	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
217	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
218	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
219	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
226	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
237	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
254	#95×C₁₃₉	C₂³	1	1	yes	characteristic
255	#95×C₁₃₉	C₂³	1	2	yes	—
256	#95×C₁₃₉	C₂³	1	2	yes	—
257	#95×C₁₃₉	C₂³	1	2	yes	—
258	#95×C₁₃₉	C₂³	1	2	yes	—
259	#95×C₁₃₉	C₂³	1	2	yes	—
260	#95×C₁₃₉	C₂³	1	2	yes	—
261	C₂⁴×C₁₃₉	—	2	4	no	—
262	C₂⁴×C₁₃₉	—	2	4	no	—
263	C₂⁴×C₁₃₉	—	2	4	no	—
264	C₂⁴×C₁₃₉	—	2	4	no	—
265	C₂⁴×C₁₃₉	—	4	2	no	—
266	C₂⁴×C₁₃₉	—	4	2	no	—
267	C₂⁴×C₁₃₉	—	4	2	no	—
268	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
269	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
270	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
271	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
272	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
273	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
274	#41×C₁₃₉	—	4	16	no	—
275	C₂×Q₈×C₁₃₉	—	2	2	no	—
276	C₂×Q₈×C₁₃₉	—	4	2	no	—
277	C₂×D₄×C₁₃₉	—	2	4	no	—
278	C₂×D₄×C₁₃₉	—	2	4	no	—
279	C₂×D₄×C₁₃₉	—	2	2	no	—
280	C₂×D₄×C₁₃₉	—	2	2	no	—
281	C₂×D₄×C₁₃₉	—	2	2	no	—
282	C₂×D₄×C₁₃₉	—	2	4	no	—
283	C₂×D₄×C₁₃₉	—	2	4	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	4	no	—
289	C₂×D₄×C₁₃₉	—	2	4	no	—
290	C₂×D₄×C₁₃₉	—	2	2	no	—
291	C₂×D₄×C₁₃₉	—	2	2	no	—
292	C₂×D₄×C₁₃₉	—	2	4	no	—
293	C₂×D₄×C₁₃₉	—	2	2	no	—
294	C₂×D₄×C₁₃₉	—	2	2	no	—
295	C₂×D₄×C₁₃₉	—	2	4	no	—
296	C₂×D₄×C₁₃₉	—	2	4	no	—
297	C₂×D₄×C₁₃₉	—	2	4	no	—
298	C₂×D₄×C₁₃₉	—	2	4	no	—
299	C₂×D₄×C₁₃₉	—	2	2	no	—
300	C₂×D₄×C₁₃₉	—	4	2	no	—
301	C₂×D₄×C₁₃₉	—	4	2	no	—
302	C₂×D₄×C₁₃₉	—	4	2	no	—
303	C₂×D₄×C₁₃₉	—	4	2	no	—
304	C₂×D₄×C₁₃₉	—	4	1	no	—
305	C₂×D₄×C₁₃₉	—	4	2	no	—
306	C₂×D₄×C₁₃₉	—	4	2	no	—
307	C₂×D₄×C₁₃₉	—	4	2	no	—
308	C₂×D₄×C₁₃₉	—	4	2	no	—
309	C₂×D₄×C₁₃₉	—	4	2	no	—
310	C₂×D₄×C₁₃₉	—	4	2	no	—
311	C₂×D₄×C₁₃₉	—	4	2	no	—
312	C₂×D₄×C₁₃₉	—	4	2	no	—
313	C₂×D₄×C₁₃₉	—	4	2	no	—
314	C₂×D₄×C₁₃₉	—	4	16	no	—
315	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
316	C₂²×C₄×C₁₃₉	—	2	2	no	—
317	C₂²×C₄×C₁₃₉	—	2	4	no	—
318	C₂²×C₄×C₁₃₉	—	2	2	no	—
319	C₂²×C₄×C₁₃₉	—	2	4	no	—
320	C₂²×C₄×C₁₃₉	—	2	4	no	—
321	C₂²×C₄×C₁₃₉	—	2	2	no	—
322	C₂²×C₄×C₁₃₉	—	2	2	no	—
323	C₂²×C₄×C₁₃₉	—	2	2	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	1	no	—
329	C₂²×C₄×C₁₃₉	—	4	2	no	—
330	C₂²×C₄×C₁₃₉	—	4	2	no	—
331	C₂²×C₄×C₁₃₉	—	4	2	no	—
332	C₂²×C₄×C₁₃₉	—	4	2	no	—
333	C₂²×C₄×C₁₃₉	—	4	2	no	—
334	C₂²×C₄×C₁₃₉	—	4	2	no	—
335	C₂²×C₄×C₁₃₉	—	4	2	no	—
336	C₂²×C₄×C₁₃₉	—	4	2	no	—
337	C₂²×C₄×C₁₃₉	—	4	2	no	—
338	C₂²×C₄×C₁₃₉	—	4	2	no	—
339	C₂²×C₄×C₁₃₉	—	4	2	no	—
340	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
341	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
342	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
343	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
344	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
347	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
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	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
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	2	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	—	2	2	no	—
369	C₄⋊C₄×C₁₃₉	—	2	2	no	—
370	C₄⋊C₄×C₁₃₉	—	2	4	no	—
371	C₄⋊C₄×C₁₃₉	—	2	4	no	—
372	C₄⋊C₄×C₁₃₉	—	4	2	no	—
373	C₄⋊C₄×C₁₃₉	—	4	2	no	—
374	C₄⋊C₄×C₁₃₉	—	4	2	no	—
375	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
376	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
377	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
378	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
379	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
380	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
381	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
382	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
383	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
384	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
385	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
386	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
387	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
388	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
389	C₂²⋊C₄×C₁₃₉	—	2	4	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	4	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	—	4	2	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	C₂×D₄	1	4	yes	—
407	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
408	C₂²⋊C₄×C₁₃₉	#41	1	8	yes	complemented
409	C₄²×C₁₃₉	—	2	2	no	—
410	C₄²×C₁₃₉	—	2	2	no	—
411	C₄²×C₁₃₉	—	2	4	no	—
412	C₄²×C₁₃₉	—	4	2	no	—
413	C₄²×C₁₃₉	—	4	2	no	—
414	C₄²×C₁₃₉	—	4	2	no	—
415	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
416	C₂³×C₁₃₉	—	2	1	no	—
417	C₂³×C₁₃₉	—	2	2	no	—
418	C₂³×C₁₃₉	—	2	1	no	—
419	C₂³×C₁₃₉	—	2	2	no	—
420	C₂³×C₁₃₉	—	2	2	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	1	no	—
426	C₂³×C₁₃₉	—	2	2	no	—
427	C₂³×C₁₃₉	—	2	2	no	—
428	C₂³×C₁₃₉	—	2	1	no	—
429	C₂³×C₁₃₉	—	2	1	no	—
430	C₂³×C₁₃₉	—	2	1	no	—
431	C₂³×C₁₃₉	—	2	2	no	—
432	C₂³×C₁₃₉	—	2	2	no	—
433	C₂³×C₁₃₉	—	2	2	no	—
434	C₂³×C₁₃₉	—	2	2	no	—
435	C₂³×C₁₃₉	—	2	2	no	—
436	C₂³×C₁₃₉	—	2	2	no	—
437	C₂³×C₁₃₉	—	2	1	no	—
438	C₂³×C₁₃₉	—	2	1	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	8	no	—
450	C₂³×C₁₃₉	—	8	4	no	—
451	C₂³×C₁₃₉	—	8	4	no	—
452	C₂³×C₁₃₉	—	8	4	no	—
453	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
454	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
455	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
456	C₂³×C₁₃₉	H(5,𝔽₂)	1	4	yes	—
457	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
458	Q₈×C₁₃₉	—	4	4	no	—
459	D₄×C₁₃₉	—	2	8	no	—
460	D₄×C₁₃₉	—	2	8	no	—
461	D₄×C₁₃₉	—	4	4	no	—
462	D₄×C₁₃₉	—	4	8	no	—
463	D₄×C₁₃₉	—	4	8	no	—
464	D₄×C₁₃₉	—	4	8	no	—
465	D₄×C₁₃₉	—	4	4	no	—
466	D₄×C₁₃₉	—	4	8	no	—
467	D₄×C₁₃₉	—	4	4	no	—
468	D₄×C₁₃₉	—	4	4	no	—
469	D₄×C₁₃₉	—	8	2	no	—
470	D₄×C₁₃₉	—	8	4	no	—
471	D₄×C₁₃₉	—	8	4	no	—
472	D₄×C₁₃₉	—	8	2	no	—
473	D₄×C₁₃₉	—	8	4	no	—
474	C₂×C₄×C₁₃₉	—	2	1	no	—
475	C₂×C₄×C₁₃₉	—	2	2	no	—
476	C₂×C₄×C₁₃₉	—	2	2	no	—
477	C₂×C₄×C₁₃₉	—	2	1	no	—
478	C₂×C₄×C₁₃₉	—	2	2	no	—
479	C₂×C₄×C₁₃₉	—	2	2	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	1	no	—
485	C₂×C₄×C₁₃₉	—	2	1	no	—
486	C₂×C₄×C₁₃₉	—	2	1	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	2	no	—
491	C₂×C₄×C₁₃₉	—	2	2	no	—
492	C₂×C₄×C₁₃₉	—	2	1	no	—
493	C₂×C₄×C₁₃₉	—	2	2	no	—
494	C₂×C₄×C₁₃₉	—	2	2	no	—
495	C₂×C₄×C₁₃₉	—	2	2	no	—
496	C₂×C₄×C₁₃₉	—	2	2	no	—
497	C₂×C₄×C₁₃₉	—	2	2	no	—
498	C₂×C₄×C₁₃₉	—	2	2	no	—
499	C₂×C₄×C₁₃₉	—	2	2	no	—
500	C₂×C₄×C₁₃₉	—	2	2	no	—
501	C₂×C₄×C₁₃₉	—	2	2	no	—
502	C₂×C₄×C₁₃₉	—	2	2	no	—
503	C₂×C₄×C₁₃₉	—	2	1	no	—
504	C₂×C₄×C₁₃₉	—	2	2	no	—
505	C₂×C₄×C₁₃₉	—	2	2	no	—
506	C₂×C₄×C₁₃₉	—	2	2	no	—
507	C₂×C₄×C₁₃₉	—	2	1	no	—
508	C₂×C₄×C₁₃₉	—	2	2	no	—
509	C₂×C₄×C₁₃₉	—	4	4	no	—
510	C₂×C₄×C₁₃₉	—	4	4	no	—
511	C₂×C₄×C₁₃₉	—	4	4	no	—
512	C₂×C₄×C₁₃₉	—	4	4	no	—
513	C₂×C₄×C₁₃₉	—	4	8	no	—
514	C₂×C₄×C₁₃₉	—	8	2	no	—
515	C₂×C₄×C₁₃₉	—	8	4	no	—
516	C₂×C₄×C₁₃₉	—	8	4	no	—
517	C₂×C₄×C₁₃₉	—	8	2	no	—
518	C₂×C₄×C₁₃₉	—	8	4	no	—
519	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
520	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
521	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
522	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
523	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
524	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
525	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
526	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
527	C₂²×C₁₃₉	—	2	2	no	—
528	C₂²×C₁₃₉	—	2	2	no	—
529	C₂²×C₁₃₉	—	2	4	no	—
530	C₂²×C₁₃₉	—	2	4	no	—
531	C₂²×C₁₃₉	—	2	2	no	—
532	C₂²×C₁₃₉	—	2	4	no	—
533	C₂²×C₁₃₉	—	2	2	no	—
534	C₂²×C₁₃₉	—	2	2	no	—
535	C₂²×C₁₃₉	—	2	4	no	—
536	C₂²×C₁₃₉	—	2	4	no	—
537	C₂²×C₁₃₉	—	4	2	no	—
538	C₂²×C₁₃₉	—	4	2	no	—
539	C₂²×C₁₃₉	—	4	2	no	—
540	C₂²×C₁₃₉	—	4	2	no	—
541	C₂²×C₁₃₉	—	4	2	no	—
542	C₂²×C₁₃₉	—	4	2	no	—
543	C₂²×C₁₃₉	—	4	1	no	—
544	C₂²×C₁₃₉	—	4	1	no	—
545	C₂²×C₁₃₉	—	4	2	no	—
546	C₂²×C₁₃₉	—	4	1	no	—
547	C₂²×C₁₃₉	—	4	2	no	—
548	C₂²×C₁₃₉	—	4	1	no	—
549	C₂²×C₁₃₉	—	4	1	no	—
550	C₂²×C₁₃₉	—	4	1	no	—
551	C₂²×C₁₃₉	—	4	2	no	—
552	C₂²×C₁₃₉	—	4	2	no	—
553	C₂²×C₁₃₉	—	4	2	no	—
554	C₂²×C₁₃₉	—	4	2	no	—
555	C₂²×C₁₃₉	—	4	2	no	—
556	C₂²×C₁₃₉	—	4	2	no	—
557	C₂²×C₁₃₉	—	4	2	no	—
558	C₂²×C₁₃₉	—	4	2	no	—
559	C₂²×C₁₃₉	—	4	2	no	—
560	C₂²×C₁₃₉	—	8	16	no	—
561	C₂²×C₁₃₉	#532	1	4	yes	—
562	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
563	C₂²×C₁₃₉	C₂²×#41	1	2	yes	—
564	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	2	yes	—
565	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
566	C₂²×C₁₃₉	#585	1	1	yes	characteristic
567	C₄×C₁₃₉	—	2	2	no	—
568	C₄×C₁₃₉	—	2	2	no	—
569	C₄×C₁₃₉	—	2	2	no	—
570	C₄×C₁₃₉	—	2	2	no	—
571	C₄×C₁₃₉	—	2	2	no	—
572	C₄×C₁₃₉	—	2	2	no	—
573	C₄×C₁₃₉	—	2	4	no	—
574	C₄×C₁₃₉	—	2	4	no	—
575	C₄×C₁₃₉	—	4	1	no	—
576	C₄×C₁₃₉	—	4	1	no	—
577	C₄×C₁₃₉	—	4	2	no	—
578	C₄×C₁₃₉	—	4	1	no	—
579	C₄×C₁₃₉	—	4	1	no	—
580	C₄×C₁₃₉	—	4	1	no	—
581	C₄×C₁₃₉	—	4	2	no	—
582	C₄×C₁₃₉	—	4	2	no	—
583	C₄×C₁₃₉	—	4	2	no	—
584	C₂×C₁₃₉	—	2	4	no	—
585	C₂×C₁₃₉	—	4	2	no	—
586	C₂×C₁₃₉	—	4	4	no	—
587	C₂×C₁₃₉	—	8	1	no	—
588	C₂×C₁₃₉	—	8	1	no	—
589	C₂×C₁₃₉	—	8	2	no	—
590	C₂×C₁₃₉	C₂×#532	1	1	yes	characteristic
591	C₂×C₁₃₉	#3484	1	1	yes	characteristic
592	C₂×C₁₃₉	#3488	1	1	yes	characteristic
593	C₂×C₁₃₉	#3513	1	2	yes	—
594	C₂×C₁₃₉	#3519	1	2	yes	—
595	#35906	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
596	C₁₃₉	#35906	1	1	yes	characteristic, direct product factor, Sylow
597	C₂×#553	C₂×C₁₃₉	1	1	yes	characteristic, complemented
598	C₂×#546	C₂×C₁₃₉	1	1	yes	characteristic, complemented
599	#2662	C₂×C₁₃₉	1	1	yes	characteristic, complemented
600	#2661	C₂×C₁₃₉	1	1	yes	characteristic, complemented
601	#2639	C₂×C₁₃₉	1	1	yes	characteristic, complemented
602	#2610	C₂×C₁₃₉	1	1	yes	characteristic, complemented
603	#2603	C₂×C₁₃₉	1	1	yes	characteristic, complemented
604	#2583	C₂×C₁₃₉	1	1	yes	characteristic, complemented
605	#2559	C₂×C₁₃₉	1	2	yes	complemented
606	#2558	C₂×C₁₃₉	1	2	yes	complemented
607	#2543	C₂×C₁₃₉	1	1	yes	characteristic, complemented
608	#2445	C₂×C₁₃₉	1	2	yes	complemented
609	#2433	C₂×C₁₃₉	1	1	yes	characteristic, complemented
610	#2430	C₂×C₁₃₉	1	1	yes	characteristic, complemented
611	#2428	C₂×C₁₃₉	1	2	yes	complemented
612	#2424	C₂×C₁₃₉	1	2	yes	complemented
613	#2424	C₂×C₁₃₉	1	2	yes	complemented
614	#2392	C₂×C₁₃₉	1	1	yes	characteristic, complemented
615	#2388	C₂×C₁₃₉	1	1	yes	characteristic, complemented
616	C₂×#394	C₂×C₁₃₉	1	1	yes	characteristic, complemented
617	#2358	C₂×C₁₃₉	1	2	yes	complemented
618	#2358	C₂×C₁₃₉	1	2	yes	complemented
619	#2275	C₂×C₁₃₉	1	1	yes	characteristic, complemented
620	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic
621	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
622	#553	—	2	8	no	—
623	#546	—	2	8	no	—
624	C₂×#127	C₂²×C₁₃₉	1	2	yes	—
625	C₂×#126	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
626	C₂×#126	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
627	C₂×#125	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
628	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
629	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
630	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
631	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
632	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
633	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
634	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
635	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
636	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
637	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
638	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
639	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
640	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
641	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
642	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
643	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
644	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
645	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
646	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
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	2	yes	complemented
651	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
652	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
653	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
654	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
655	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
656	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
657	#400	C₂²×C₁₃₉	1	2	yes	complemented
658	#398	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
659	#398	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
660	#397	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
661	#397	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
662	#396	C₂²×C₁₃₉	1	2	yes	complemented
663	#396	C₂²×C₁₃₉	1	2	yes	complemented
664	#395	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
665	#395	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
666	#394	C₂²×C₁₃₉	1	1	yes	characteristic
667	#394	C₂²×C₁₃₉	1	1	yes	characteristic
668	#394	C₂²×C₁₃₉	1	1	yes	characteristic
669	#394	C₂²×C₁₃₉	1	1	yes	characteristic
670	#394	C₂²×C₁₃₉	1	2	yes	—
671	#394	C₂²×C₁₃₉	1	2	yes	—
672	#394	C₂²×C₁₃₉	1	2	yes	complemented
673	#394	C₂²×C₁₃₉	1	2	yes	complemented
674	#394	C₂²×C₁₃₉	1	2	yes	complemented
675	#394	C₂²×C₁₃₉	1	2	yes	complemented
676	#394	C₂²×C₁₃₉	1	2	yes	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	complemented
684	#392	C₂²×C₁₃₉	1	2	yes	complemented
685	#390	C₂²×C₁₃₉	1	2	yes	—
686	#390	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	#389	C₂²×C₁₃₉	1	2	yes	complemented
691	#389	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	#386	C₂²×C₁₃₉	1	2	yes	—
699	#386	C₂²×C₁₃₉	1	2	yes	—
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	—
707	#385	C₂²×C₁₃₉	1	2	yes	—
708	#385	C₂²×C₁₃₉	1	2	yes	complemented
709	#385	C₂²×C₁₃₉	1	2	yes	complemented
710	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
711	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
712	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
713	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
714	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
715	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
716	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
717	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
718	#376	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
719	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
720	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
721	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
722	C₂×#41	—	2	4	no	—
723	C₂×#41	—	4	4	no	—
724	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
725	C₂²×D₄	—	2	4	no	—
726	C₂²×D₄	—	4	4	no	—
727	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
728	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
729	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
730	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
731	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
732	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
733	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
734	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
735	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
736	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
737	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
738	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
739	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
740	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
741	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
742	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
743	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
744	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
745	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
746	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
747	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
748	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
749	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
750	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
751	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
752	#127	—	4	4	no	—
753	#126	—	2	4	no	—
754	#126	—	2	4	no	—
755	#125	—	2	4	no	—
756	#124	—	2	4	no	—
757	#123	—	2	4	no	—
758	#123	—	2	8	no	—
759	#123	—	2	4	no	—
760	C₂²⋊Q₈	—	2	4	no	—
761	#121	—	2	4	no	—
762	#121	—	2	4	no	—
763	#121	—	2	4	no	—
764	#121	—	2	4	no	—
765	#121	—	2	8	no	—
766	#121	—	2	4	no	—
767	#121	—	4	4	no	—
768	#121	—	4	4	no	—
769	#120	—	2	8	no	—
770	#120	—	2	8	no	—
771	#120	—	2	8	no	—
772	C₄×D₄	—	2	4	no	—
773	C₄×D₄	—	2	4	no	—
774	C₄×D₄	—	2	4	no	—
775	C₄×D₄	—	2	8	no	—
776	C₄×D₄	—	2	4	no	—
777	C₄×D₄	—	4	4	no	—
778	C₄×D₄	—	4	4	no	—
779	C₄×D₄	D₄×C₁₃₉	1	8	yes	complemented
780	#117	—	2	4	no	—
781	C₂×C₄⋊C₄	—	2	4	no	—
782	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
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	1	yes	characteristic
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	2	yes	—
792	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
793	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
794	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
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	2	yes	—
798	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
799	C₂×C₂²⋊C₄	—	2	8	no	—
800	C₂×C₂²⋊C₄	—	4	4	no	—
801	C₂×C₂²⋊C₄	—	4	4	no	—
802	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
803	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
804	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
805	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
806	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
807	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
808	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
809	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
810	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
811	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
812	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
813	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
814	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
815	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
816	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
817	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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	1	yes	characteristic
824	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
825	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
826	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
827	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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	1	yes	characteristic
833	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
834	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
835	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
836	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
837	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
838	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
839	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
840	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
841	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
842	#95	C₂³×C₁₃₉	1	1	yes	characteristic
843	#95	C₂³×C₁₃₉	1	1	yes	characteristic
844	#95	C₂³×C₁₃₉	1	2	yes	—
845	#95	C₂³×C₁₃₉	1	2	yes	—
846	#95	C₂³×C₁₃₉	1	1	yes	characteristic
847	#95	C₂³×C₁₃₉	1	2	yes	—
848	#95	C₂³×C₁₃₉	1	1	yes	characteristic
849	#95	C₂³×C₁₃₉	1	2	yes	—
850	#95	C₂³×C₁₃₉	1	2	yes	—
851	#95	C₂³×C₁₃₉	1	2	yes	—
852	#95	C₂³×C₁₃₉	1	2	yes	—
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	C₂⁴	—	2	4	no	—
858	C₂⁴	—	2	4	no	—
859	C₂⁴	—	2	4	no	—
860	C₂⁴	—	2	4	no	—
861	C₂⁴	—	4	2	no	—
862	C₂⁴	—	4	2	no	—
863	C₂⁴	—	4	2	no	—
864	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
865	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
866	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
867	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
868	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
869	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
870	#41	—	4	16	no	—
871	C₂×Q₈	—	2	2	no	—
872	C₂×Q₈	—	4	2	no	—
873	C₂×D₄	—	2	4	no	—
874	C₂×D₄	—	2	4	no	—
875	C₂×D₄	—	2	2	no	—
876	C₂×D₄	—	2	2	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	2	4	no	—
879	C₂×D₄	—	2	4	no	—
880	C₂×D₄	—	2	4	no	—
881	C₂×D₄	—	2	4	no	—
882	C₂×D₄	—	2	4	no	—
883	C₂×D₄	—	2	4	no	—
884	C₂×D₄	—	2	4	no	—
885	C₂×D₄	—	2	4	no	—
886	C₂×D₄	—	2	2	no	—
887	C₂×D₄	—	2	2	no	—
888	C₂×D₄	—	2	4	no	—
889	C₂×D₄	—	2	2	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	2	no	—
896	C₂×D₄	—	4	2	no	—
897	C₂×D₄	—	4	2	no	—
898	C₂×D₄	—	4	2	no	—
899	C₂×D₄	—	4	2	no	—
900	C₂×D₄	—	4	1	no	—
901	C₂×D₄	—	4	2	no	—
902	C₂×D₄	—	4	2	no	—
903	C₂×D₄	—	4	2	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	16	no	—
911	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	4	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	4	no	—
916	C₂²×C₄	—	2	4	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	4	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	4	no	—
923	C₂²×C₄	—	4	1	no	—
924	C₂²×C₄	—	4	1	no	—
925	C₂²×C₄	—	4	2	no	—
926	C₂²×C₄	—	4	2	no	—
927	C₂²×C₄	—	4	2	no	—
928	C₂²×C₄	—	4	2	no	—
929	C₂²×C₄	—	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	C₂×D₄×C₁₃₉	1	4	yes	—
937	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
938	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
939	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
940	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
941	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
942	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
943	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
944	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
945	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
946	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
947	C₂²×C₄	C₂⁴×C₁₃₉	1	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	2	yes	—
953	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
954	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
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	4	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	4	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	C₂×D₄×C₁₃₉	1	4	yes	—
972	C₂²⋊C₄	—	2	4	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	4	no	—
976	C₂²⋊C₄	—	2	4	no	—
977	C₂²⋊C₄	—	2	4	no	—
978	C₂²⋊C₄	—	2	4	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	4	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	4	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	4	no	—
988	C₂²⋊C₄	—	2	4	no	—
989	C₂²⋊C₄	—	2	4	no	—
990	C₂²⋊C₄	—	2	4	no	—
991	C₂²⋊C₄	—	2	4	no	—
992	C₂²⋊C₄	—	2	4	no	—
993	C₂²⋊C₄	—	2	4	no	—
994	C₂²⋊C₄	—	4	2	no	—
995	C₂²⋊C₄	—	4	2	no	—
996	C₂²⋊C₄	—	4	2	no	—
997	C₂²⋊C₄	—	4	2	no	—
998	C₂²⋊C₄	—	4	2	no	—
999	C₂²⋊C₄	—	4	2	no	—
1000	C₂²⋊C₄	—	4	2	no	—
1001	C₂²⋊C₄	—	4	2	no	—
1002	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1003	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1004	C₂²⋊C₄	#41×C₁₃₉	1	8	yes	complemented
1005	C₄²	—	2	2	no	—
1006	C₄²	—	2	2	no	—
1007	C₄²	—	2	4	no	—
1008	C₄²	—	4	2	no	—
1009	C₄²	—	4	2	no	—
1010	C₄²	—	4	2	no	—
1011	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
1012	C₂³	—	2	1	no	—
1013	C₂³	—	2	2	no	—
1014	C₂³	—	2	1	no	—
1015	C₂³	—	2	2	no	—
1016	C₂³	—	2	2	no	—
1017	C₂³	—	2	2	no	—
1018	C₂³	—	2	2	no	—
1019	C₂³	—	2	2	no	—
1020	C₂³	—	2	2	no	—
1021	C₂³	—	2	1	no	—
1022	C₂³	—	2	2	no	—
1023	C₂³	—	2	2	no	—
1024	C₂³	—	2	1	no	—
1025	C₂³	—	2	1	no	—
1026	C₂³	—	2	1	no	—
1027	C₂³	—	2	2	no	—
1028	C₂³	—	2	2	no	—
1029	C₂³	—	2	2	no	—
1030	C₂³	—	2	2	no	—
1031	C₂³	—	2	2	no	—
1032	C₂³	—	2	2	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	1	no	—
1040	C₂³	—	2	1	no	—
1041	C₂³	—	2	2	no	—
1042	C₂³	—	4	8	no	—
1043	C₂³	—	4	8	no	—
1044	C₂³	—	4	8	no	—
1045	C₂³	—	4	8	no	—
1046	C₂³	—	8	4	no	—
1047	C₂³	—	8	4	no	—
1048	C₂³	—	8	4	no	—
1049	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1050	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1051	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
1052	C₂³	H(5,𝔽₂)×C₁₃₉	1	4	yes	—
1053	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1054	Q₈	—	4	4	no	—
1055	D₄	—	2	8	no	—
1056	D₄	—	2	8	no	—
1057	D₄	—	4	8	no	—
1058	D₄	—	4	4	no	—
1059	D₄	—	4	8	no	—
1060	D₄	—	4	8	no	—
1061	D₄	—	4	4	no	—
1062	D₄	—	4	8	no	—
1063	D₄	—	4	4	no	—
1064	D₄	—	4	4	no	—
1065	D₄	—	8	2	no	—
1066	D₄	—	8	4	no	—
1067	D₄	—	8	4	no	—
1068	D₄	—	8	2	no	—
1069	D₄	—	8	4	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	2	no	—
1087	C₂×C₄	—	2	2	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	2	no	—
1090	C₂×C₄	—	2	2	no	—
1091	C₂×C₄	—	2	2	no	—
1092	C₂×C₄	—	2	2	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	2	2	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	1	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	2	2	no	—
1102	C₂×C₄	—	2	2	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	4	4	no	—
1106	C₂×C₄	—	4	4	no	—
1107	C₂×C₄	—	4	4	no	—
1108	C₂×C₄	—	4	8	no	—
1109	C₂×C₄	—	4	4	no	—
1110	C₂×C₄	—	8	2	no	—
1111	C₂×C₄	—	8	4	no	—
1112	C₂×C₄	—	8	4	no	—
1113	C₂×C₄	—	8	2	no	—
1114	C₂×C₄	—	8	4	no	—
1115	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1116	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1117	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1118	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1119	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1120	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
1121	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
1122	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1123	C₂²	—	2	2	no	—
1124	C₂²	—	2	2	no	—
1125	C₂²	—	2	4	no	—
1126	C₂²	—	2	4	no	—
1127	C₂²	—	2	2	no	—
1128	C₂²	—	2	4	no	—
1129	C₂²	—	2	2	no	—
1130	C₂²	—	2	2	no	—
1131	C₂²	—	2	4	no	—
1132	C₂²	—	2	4	no	—
1133	C₂²	—	4	2	no	—
1134	C₂²	—	4	2	no	—
1135	C₂²	—	4	2	no	—
1136	C₂²	—	4	2	no	—
1137	C₂²	—	4	2	no	—
1138	C₂²	—	4	2	no	—
1139	C₂²	—	4	1	no	—
1140	C₂²	—	4	1	no	—
1141	C₂²	—	4	2	no	—
1142	C₂²	—	4	1	no	—
1143	C₂²	—	4	2	no	—
1144	C₂²	—	4	1	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	4	1	no	—
1147	C₂²	—	4	2	no	—
1148	C₂²	—	4	2	no	—
1149	C₂²	—	4	2	no	—
1150	C₂²	—	4	2	no	—
1151	C₂²	—	4	2	no	—
1152	C₂²	—	4	2	no	—
1153	C₂²	—	4	2	no	—
1154	C₂²	—	4	2	no	—
1155	C₂²	—	4	2	no	—
1156	C₂²	—	8	16	no	—
1157	C₂²	#532×C₁₃₉	1	4	yes	—
1158	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1159	C₂²	C₂²×#41×C₁₃₉	1	2	yes	—
1160	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1161	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1162	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1163	C₄	—	2	2	no	—
1164	C₄	—	2	2	no	—
1165	C₄	—	2	2	no	—
1166	C₄	—	2	2	no	—
1167	C₄	—	2	2	no	—
1168	C₄	—	2	2	no	—
1169	C₄	—	2	4	no	—
1170	C₄	—	2	4	no	—
1171	C₄	—	4	1	no	—
1172	C₄	—	4	1	no	—
1173	C₄	—	4	2	no	—
1174	C₄	—	4	1	no	—
1175	C₄	—	4	1	no	—
1176	C₄	—	4	1	no	—
1177	C₄	—	4	2	no	—
1178	C₄	—	4	2	no	—
1179	C₄	—	4	2	no	—
1180	C₂	—	2	4	no	—
1181	C₂	—	4	4	no	—
1182	C₂	—	4	2	no	—
1183	C₂	—	8	2	no	—
1184	C₂	—	8	1	no	—
1185	C₂	—	8	1	no	—
1186	C₂	C₂×#532×C₁₃₉	1	1	yes	characteristic
1187	C₂	#3484×C₁₃₉	1	1	yes	characteristic
1188	C₂	#3488×C₁₃₉	1	1	yes	characteristic
1189	C₂	#3513×C₁₃₉	1	2	yes	—
1190	C₂	#3519×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×#553×C₁₃₉	C₂	semidirect
2. C₂×#546×C₁₃₉	C₂	semidirect
3. #2662×C₁₃₉	C₂	semidirect
4. #2661×C₁₃₉	C₂	semidirect
5. #2639×C₁₃₉	C₂	semidirect
6. #2610×C₁₃₉	C₂	semidirect
7. #2603×C₁₃₉	C₂	semidirect
8. #2583×C₁₃₉	C₂	semidirect
9. #2559×C₁₃₉	C₂	semidirect
10. #2558×C₁₃₉	C₂	semidirect
11. #2543×C₁₃₉	C₂	semidirect
12. #2445×C₁₃₉	C₂	semidirect
13. #2433×C₁₃₉	C₂	semidirect
14. #2430×C₁₃₉	C₂	semidirect
15. #2428×C₁₃₉	C₂	semidirect
16. #2424×C₁₃₉	C₂	semidirect
17. #2424×C₁₃₉	C₂	semidirect
18. #2392×C₁₃₉	C₂	semidirect
19. #2388×C₁₃₉	C₂	semidirect
20. C₂×#394×C₁₃₉	C₂	semidirect
21. #2358×C₁₃₉	C₂	semidirect
22. #2358×C₁₃₉	C₂	semidirect
23. #2275×C₁₃₉	C₂	semidirect
29. C₂×#126×C₁₃₉	C₂²	semidirect
30. C₂×#126×C₁₃₉	C₂²	semidirect
31. C₂×#125×C₁₃₉	C₂²	semidirect
34. C₂×#123×C₁₃₉	C₂²	semidirect
35. C₂×#123×C₁₃₉	C₂²	semidirect
42. C₂×#121×C₁₃₉	C₂²	semidirect
43. C₂×#121×C₁₃₉	C₂²	semidirect
44. C₂×#121×C₁₃₉	C₂²	semidirect
53. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
54. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
55. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
56. C₂×#117×C₁₃₉	C₂²	semidirect
61. #400×C₁₃₉	C₂²	semidirect
62. #398×C₁₃₉	C₂²	semidirect
63. #398×C₁₃₉	C₂²	semidirect
64. #397×C₁₃₉	C₂²	semidirect
65. #397×C₁₃₉	C₂²	semidirect
66. #396×C₁₃₉	C₂²	semidirect
67. #396×C₁₃₉	C₂²	semidirect
68. #395×C₁₃₉	C₂²	semidirect
69. #395×C₁₃₉	C₂²	semidirect
76. #394×C₁₃₉	C₂²	semidirect
77. #394×C₁₃₉	C₂²	semidirect
78. #394×C₁₃₉	C₂²	semidirect
79. #394×C₁₃₉	C₂²	semidirect
80. #394×C₁₃₉	C₂²	semidirect
81. #393×C₁₃₉	C₂²	semidirect
82. #393×C₁₃₉	C₂²	semidirect
87. #392×C₁₃₉	C₂²	semidirect
88. #392×C₁₃₉	C₂²	semidirect
90. #390×C₁₃₉	C₂²	semidirect
91. #390×C₁₃₉	C₂²	semidirect
92. #390×C₁₃₉	C₂²	semidirect
93. #390×C₁₃₉	C₂²	semidirect
94. #389×C₁₃₉	C₂²	semidirect
95. #389×C₁₃₉	C₂²	semidirect
96. #388×C₁₃₉	C₂²	semidirect
97. #388×C₁₃₉	C₂²	semidirect
98. #388×C₁₃₉	C₂²	semidirect
99. #388×C₁₃₉	C₂²	semidirect
100. #388×C₁₃₉	C₂²	semidirect
101. #388×C₁₃₉	C₂²	semidirect
104. #386×C₁₃₉	C₂²	semidirect
105. #386×C₁₃₉	C₂²	semidirect
106. #386×C₁₃₉	C₂²	semidirect
107. #386×C₁₃₉	C₂²	semidirect
108. #386×C₁₃₉	C₂²	semidirect
109. #386×C₁₃₉	C₂²	semidirect
112. #385×C₁₃₉	C₂²	semidirect
113. #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
183. C₄×D₄×C₁₃₉	D₄	semidirect
408. C₂²⋊C₄×C₁₃₉	#41	semidirect
595. #35906	C₁₃₉	direct (N × H)
596. C₁₃₉	#35906	direct (N × H)
597. C₂×#553	C₂×C₁₃₉	semidirect
598. C₂×#546	C₂×C₁₃₉	semidirect
599. #2662	C₂×C₁₃₉	semidirect
600. #2661	C₂×C₁₃₉	semidirect
601. #2639	C₂×C₁₃₉	semidirect
602. #2610	C₂×C₁₃₉	semidirect
603. #2603	C₂×C₁₃₉	semidirect
604. #2583	C₂×C₁₃₉	semidirect
605. #2559	C₂×C₁₃₉	semidirect
606. #2558	C₂×C₁₃₉	semidirect
607. #2543	C₂×C₁₃₉	semidirect
608. #2445	C₂×C₁₃₉	semidirect
609. #2433	C₂×C₁₃₉	semidirect
610. #2430	C₂×C₁₃₉	semidirect
611. #2428	C₂×C₁₃₉	semidirect
612. #2424	C₂×C₁₃₉	semidirect
613. #2424	C₂×C₁₃₉	semidirect
614. #2392	C₂×C₁₃₉	semidirect
615. #2388	C₂×C₁₃₉	semidirect
616. C₂×#394	C₂×C₁₃₉	semidirect
617. #2358	C₂×C₁₃₉	semidirect
618. #2358	C₂×C₁₃₉	semidirect
619. #2275	C₂×C₁₃₉	semidirect
625. C₂×#126	C₂²×C₁₃₉	semidirect
626. C₂×#126	C₂²×C₁₃₉	semidirect
627. C₂×#125	C₂²×C₁₃₉	semidirect
630. C₂×#123	C₂²×C₁₃₉	semidirect
631. C₂×#123	C₂²×C₁₃₉	semidirect
638. C₂×#121	C₂²×C₁₃₉	semidirect
639. C₂×#121	C₂²×C₁₃₉	semidirect
640. 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×#117	C₂²×C₁₃₉	semidirect
657. #400	C₂²×C₁₃₉	semidirect
658. #398	C₂²×C₁₃₉	semidirect
659. #398	C₂²×C₁₃₉	semidirect
660. #397	C₂²×C₁₃₉	semidirect
661. #397	C₂²×C₁₃₉	semidirect
662. #396	C₂²×C₁₃₉	semidirect
663. #396	C₂²×C₁₃₉	semidirect
664. #395	C₂²×C₁₃₉	semidirect
665. #395	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
683. #392	C₂²×C₁₃₉	semidirect
684. #392	C₂²×C₁₃₉	semidirect
686. #390	C₂²×C₁₃₉	semidirect
687. #390	C₂²×C₁₃₉	semidirect
688. #390	C₂²×C₁₃₉	semidirect
689. #390	C₂²×C₁₃₉	semidirect
690. #389	C₂²×C₁₃₉	semidirect
691. #389	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
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
708. #385	C₂²×C₁₃₉	semidirect
709. #385	C₂²×C₁₃₉	semidirect
710. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
711. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
714. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
715. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
716. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
717. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
718. #376	C₂²×C₁₃₉	semidirect
720. C₂×#95	C₂²×C₁₃₉	semidirect
779. C₄×D₄	D₄×C₁₃₉	semidirect
1004. C₂²⋊C₄	#41×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#553×C₁₃₉	2
C₂×#546×C₁₃₉	2
#2662×C₁₃₉	2
#2661×C₁₃₉	2
#2639×C₁₃₉	2
#2610×C₁₃₉	2
#2603×C₁₃₉	2
#2583×C₁₃₉	2
#2559×C₁₃₉	2
#2558×C₁₃₉	2
#2543×C₁₃₉	2
#2445×C₁₃₉	2
#2433×C₁₃₉	2
#2430×C₁₃₉	2
#2428×C₁₃₉	2
#2424×C₁₃₉	2
#2392×C₁₃₉	2
#2388×C₁₃₉	2
C₂×#394×C₁₃₉	2
#2358×C₁₃₉	2
#2275×C₁₃₉	2
#35906	139

Subgroups — C139×#35906 #48030502

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#35906 #48030502