Subgroups — C₁₃₉×#37276 #48031872

Order 35584.

2376 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×#540×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#529×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2856×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2851×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2707×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2705×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2691×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2682×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2681×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2676×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2675×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2671×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2629×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2619×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2580×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2538×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2537×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2535×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2416×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#2416×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2414×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	#2414×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	#2317×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	#540×C₁₃₉	—	2	8	no	—
25	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic
26	#529×C₁₃₉	—	2	8	no	—
27	C₂×#126×C₁₃₉	C₂²	1	1	yes	characteristic
28	C₂×#126×C₁₃₉	C₂²	1	1	yes	characteristic
29	C₂×#125×C₁₃₉	C₂²	1	1	yes	characteristic
30	C₂×#125×C₁₃₉	C₂²	1	1	yes	characteristic
31	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
35	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
36	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
38	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
41	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
42	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
43	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
44	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
45	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
46	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
47	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
48	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
49	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
50	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
51	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
52	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
53	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
57	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
58	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
59	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
60	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
61	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
62	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
63	#399×C₁₃₉	C₂²	1	2	yes	—
64	#398×C₁₃₉	C₂²	1	2	yes	—
65	#398×C₁₃₉	C₂²	1	2	yes	—
66	#397×C₁₃₉	C₂²	1	2	yes	—
67	#396×C₁₃₉	C₂²	1	2	yes	—
68	#396×C₁₃₉	C₂²	1	2	yes	—
69	#396×C₁₃₉	C₂²	1	2	yes	—
70	#396×C₁₃₉	C₂²	1	2	yes	—
71	#396×C₁₃₉	C₂²	1	2	yes	—
72	#396×C₁₃₉	C₂²	1	2	yes	—
73	#394×C₁₃₉	C₂²	1	2	yes	—
74	#394×C₁₃₉	C₂²	1	2	yes	—
75	#394×C₁₃₉	C₂²	1	2	yes	—
76	#394×C₁₃₉	C₂²	1	2	yes	—
77	#394×C₁₃₉	C₂²	1	2	yes	—
78	#394×C₁₃₉	C₂²	1	2	yes	—
79	#394×C₁₃₉	C₂²	1	2	yes	—
80	#394×C₁₃₉	C₂²	1	2	yes	—
81	#393×C₁₃₉	C₂²	1	2	yes	—
82	#392×C₁₃₉	C₂²	1	2	yes	—
83	#392×C₁₃₉	C₂²	1	2	yes	—
84	#392×C₁₃₉	C₂²	1	2	yes	—
85	#392×C₁₃₉	C₂²	1	2	yes	—
86	#392×C₁₃₉	C₂²	1	2	yes	—
87	#390×C₁₃₉	C₂²	1	1	yes	characteristic
88	#390×C₁₃₉	C₂²	1	1	yes	characteristic
89	#390×C₁₃₉	C₂²	1	1	yes	characteristic
90	#390×C₁₃₉	C₂²	1	1	yes	characteristic
91	#390×C₁₃₉	C₂²	1	2	yes	—
92	#390×C₁₃₉	C₂²	1	2	yes	—
93	#390×C₁₃₉	C₂²	1	2	yes	—
94	#390×C₁₃₉	C₂²	1	2	yes	—
95	#389×C₁₃₉	C₂²	1	1	yes	characteristic
96	#389×C₁₃₉	C₂²	1	1	yes	characteristic
97	#389×C₁₃₉	C₂²	1	2	yes	—
98	#389×C₁₃₉	C₂²	1	2	yes	—
99	#389×C₁₃₉	C₂²	1	1	yes	characteristic
100	#389×C₁₃₉	C₂²	1	1	yes	characteristic
101	#388×C₁₃₉	C₂²	1	2	yes	—
102	#388×C₁₃₉	C₂²	1	2	yes	—
103	#387×C₁₃₉	C₂²	1	2	yes	—
104	#387×C₁₃₉	C₂²	1	2	yes	—
105	#386×C₁₃₉	C₂²	1	2	yes	—
106	#386×C₁₃₉	C₂²	1	2	yes	—
107	#386×C₁₃₉	C₂²	1	2	yes	—
108	#386×C₁₃₉	C₂²	1	2	yes	—
109	#385×C₁₃₉	C₂²	1	2	yes	—
110	#385×C₁₃₉	C₂²	1	2	yes	—
111	#385×C₁₃₉	C₂²	1	2	yes	—
112	#385×C₁₃₉	C₂²	1	2	yes	—
113	#385×C₁₃₉	C₂²	1	2	yes	—
114	#385×C₁₃₉	C₂²	1	2	yes	—
115	#384×C₁₃₉	C₂²	1	1	yes	characteristic
116	#384×C₁₃₉	C₂²	1	1	yes	characteristic
117	#382×C₁₃₉	C₂²	1	1	yes	characteristic
118	#382×C₁₃₉	C₂²	1	1	yes	characteristic
119	#380×C₁₃₉	C₂²	1	1	yes	characteristic
120	#380×C₁₃₉	C₂²	1	1	yes	characteristic
121	#380×C₁₃₉	C₂²	1	1	yes	characteristic
122	#380×C₁₃₉	C₂²	1	1	yes	characteristic
123	#380×C₁₃₉	C₂²	1	2	yes	—
124	#380×C₁₃₉	C₂²	1	2	yes	—
125	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
127	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
128	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
129	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
130	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
132	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
133	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
134	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
135	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
136	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
137	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
138	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
139	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
144	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
145	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
146	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
147	#127×C₁₃₉	—	2	4	no	—
148	#126×C₁₃₉	—	2	4	no	—
149	#126×C₁₃₉	—	2	4	no	—
150	#125×C₁₃₉	—	2	4	no	—
151	#125×C₁₃₉	—	2	4	no	—
152	#124×C₁₃₉	—	2	4	no	—
153	#123×C₁₃₉	—	2	4	no	—
154	#123×C₁₃₉	—	2	8	no	—
155	#123×C₁₃₉	—	2	8	no	—
156	#123×C₁₃₉	—	2	4	no	—
157	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
158	C₂²⋊Q₈×C₁₃₉	—	4	4	no	—
159	#121×C₁₃₉	—	2	4	no	—
160	#121×C₁₃₉	—	2	4	no	—
161	#121×C₁₃₉	—	2	4	no	—
162	#121×C₁₃₉	—	2	8	no	—
163	#121×C₁₃₉	—	2	8	no	—
164	#121×C₁₃₉	—	4	4	no	—
165	#121×C₁₃₉	—	4	4	no	—
166	#121×C₁₃₉	—	4	4	no	—
167	#121×C₁₃₉	—	4	4	no	—
168	#121×C₁₃₉	—	4	2	no	—
169	#121×C₁₃₉	—	4	2	no	—
170	#121×C₁₃₉	—	4	2	no	—
171	#121×C₁₃₉	—	4	2	no	—
172	#121×C₁₃₉	—	4	4	no	—
173	C₄×Q₈×C₁₃₉	—	2	4	no	—
174	C₄×D₄×C₁₃₉	—	2	4	no	—
175	C₄×D₄×C₁₃₉	—	2	4	no	—
176	C₄×D₄×C₁₃₉	—	2	4	no	—
177	C₄×D₄×C₁₃₉	—	2	4	no	—
178	C₄×D₄×C₁₃₉	—	2	4	no	—
179	#117×C₁₃₉	—	2	4	no	—
180	#117×C₁₃₉	—	4	2	no	—
181	#117×C₁₃₉	D₄	1	8	yes	complemented
182	C₂×C₄⋊C₄×C₁₃₉	—	4	2	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	1	yes	characteristic
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	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
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	2	yes	—
203	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
204	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
205	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
206	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
207	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
208	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
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	2	yes	—
227	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	2	yes	—
238	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
239	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
241	C₂×C₄²×C₁₃₉	—	2	4	no	—
242	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
243	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
244	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
245	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
246	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
247	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
248	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
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	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	C₂⁴	1	1	yes	characteristic
262	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
263	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
264	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
265	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
266	C₂×Q₈×C₁₃₉	—	2	2	no	—
267	C₂×Q₈×C₁₃₉	—	2	2	no	—
268	C₂×Q₈×C₁₃₉	—	4	1	no	—
269	C₂×D₄×C₁₃₉	—	2	2	no	—
270	C₂×D₄×C₁₃₉	—	2	2	no	—
271	C₂×D₄×C₁₃₉	—	2	2	no	—
272	C₂×D₄×C₁₃₉	—	2	2	no	—
273	C₂×D₄×C₁₃₉	—	2	4	no	—
274	C₂×D₄×C₁₃₉	—	2	4	no	—
275	C₂×D₄×C₁₃₉	—	2	4	no	—
276	C₂×D₄×C₁₃₉	—	2	4	no	—
277	C₂×D₄×C₁₃₉	—	2	2	no	—
278	C₂×D₄×C₁₃₉	—	2	2	no	—
279	C₂×D₄×C₁₃₉	—	2	2	no	—
280	C₂×D₄×C₁₃₉	—	2	4	no	—
281	C₂×D₄×C₁₃₉	—	2	4	no	—
282	C₂×D₄×C₁₃₉	—	2	2	no	—
283	C₂×D₄×C₁₃₉	—	2	2	no	—
284	C₂×D₄×C₁₃₉	—	2	2	no	—
285	C₂×D₄×C₁₃₉	—	2	2	no	—
286	C₂×D₄×C₁₃₉	—	2	2	no	—
287	C₂×D₄×C₁₃₉	—	4	1	no	—
288	C₂×D₄×C₁₃₉	—	4	1	no	—
289	C₂×D₄×C₁₃₉	—	4	1	no	—
290	C₂×D₄×C₁₃₉	—	4	2	no	—
291	C₂×D₄×C₁₃₉	—	4	2	no	—
292	C₂×D₄×C₁₃₉	—	4	2	no	—
293	C₂×D₄×C₁₃₉	—	4	2	no	—
294	C₂×D₄×C₁₃₉	—	4	2	no	—
295	C₂×D₄×C₁₃₉	—	4	2	no	—
296	C₂×D₄×C₁₃₉	—	4	2	no	—
297	C₂×D₄×C₁₃₉	—	4	2	no	—
298	C₂×D₄×C₁₃₉	—	4	2	no	—
299	C₂×D₄×C₁₃₉	—	4	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	2	no	—
305	C₂×D₄×C₁₃₉	—	4	2	no	—
306	C₂×D₄×C₁₃₉	—	4	2	no	—
307	C₂×D₄×C₁₃₉	—	4	2	no	—
308	C₂²×C₄×C₁₃₉	—	2	2	no	—
309	C₂²×C₄×C₁₃₉	—	2	2	no	—
310	C₂²×C₄×C₁₃₉	—	2	2	no	—
311	C₂²×C₄×C₁₃₉	—	2	2	no	—
312	C₂²×C₄×C₁₃₉	—	2	2	no	—
313	C₂²×C₄×C₁₃₉	—	2	2	no	—
314	C₂²×C₄×C₁₃₉	—	2	2	no	—
315	C₂²×C₄×C₁₃₉	—	2	2	no	—
316	C₂²×C₄×C₁₃₉	—	2	2	no	—
317	C₂²×C₄×C₁₃₉	—	2	2	no	—
318	C₂²×C₄×C₁₃₉	—	2	2	no	—
319	C₂²×C₄×C₁₃₉	—	2	2	no	—
320	C₂²×C₄×C₁₃₉	—	2	4	no	—
321	C₂²×C₄×C₁₃₉	—	2	4	no	—
322	C₂²×C₄×C₁₃₉	—	4	1	no	—
323	C₂²×C₄×C₁₃₉	—	4	1	no	—
324	C₂²×C₄×C₁₃₉	—	4	2	no	—
325	C₂²×C₄×C₁₃₉	—	4	2	no	—
326	C₂²×C₄×C₁₃₉	—	4	2	no	—
327	C₂²×C₄×C₁₃₉	—	4	2	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	C₂×D₄	1	4	yes	—
332	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
333	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
336	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
337	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
338	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
339	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
340	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
341	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
342	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
343	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₁₃₉	—	2	2	no	—
351	C₄⋊C₄×C₁₃₉	—	2	2	no	—
352	C₄⋊C₄×C₁₃₉	—	2	2	no	—
353	C₄⋊C₄×C₁₃₉	—	2	2	no	—
354	C₄⋊C₄×C₁₃₉	—	2	2	no	—
355	C₄⋊C₄×C₁₃₉	—	2	2	no	—
356	C₄⋊C₄×C₁₃₉	—	2	2	no	—
357	C₄⋊C₄×C₁₃₉	—	2	2	no	—
358	C₄⋊C₄×C₁₃₉	—	2	2	no	—
359	C₄⋊C₄×C₁₃₉	—	2	2	no	—
360	C₄⋊C₄×C₁₃₉	—	2	4	no	—
361	C₄⋊C₄×C₁₃₉	—	2	4	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	4	no	—
367	C₄⋊C₄×C₁₃₉	—	4	2	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	—	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	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
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	2	no	—
381	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
382	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
383	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
384	C₂²⋊C₄×C₁₃₉	—	2	2	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	4	no	—
389	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
390	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
391	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
392	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
393	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
394	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
395	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
396	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
397	C₂²⋊C₄×C₁₃₉	—	4	2	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	C₄²×C₁₃₉	—	2	2	no	—
409	C₄²×C₁₃₉	—	2	2	no	—
410	C₄²×C₁₃₉	—	2	2	no	—
411	C₄²×C₁₃₉	—	2	2	no	—
412	C₄²×C₁₃₉	—	4	2	no	—
413	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
414	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
415	C₂³×C₁₃₉	—	2	1	no	—
416	C₂³×C₁₃₉	—	2	1	no	—
417	C₂³×C₁₃₉	—	2	1	no	—
418	C₂³×C₁₃₉	—	2	1	no	—
419	C₂³×C₁₃₉	—	2	1	no	—
420	C₂³×C₁₃₉	—	2	1	no	—
421	C₂³×C₁₃₉	—	2	1	no	—
422	C₂³×C₁₃₉	—	2	1	no	—
423	C₂³×C₁₃₉	—	2	1	no	—
424	C₂³×C₁₃₉	—	2	1	no	—
425	C₂³×C₁₃₉	—	2	1	no	—
426	C₂³×C₁₃₉	—	2	1	no	—
427	C₂³×C₁₃₉	—	2	1	no	—
428	C₂³×C₁₃₉	—	2	2	no	—
429	C₂³×C₁₃₉	—	2	2	no	—
430	C₂³×C₁₃₉	—	2	2	no	—
431	C₂³×C₁₃₉	—	2	2	no	—
432	C₂³×C₁₃₉	—	2	2	no	—
433	C₂³×C₁₃₉	—	2	2	no	—
434	C₂³×C₁₃₉	—	2	1	no	—
435	C₂³×C₁₃₉	—	2	1	no	—
436	C₂³×C₁₃₉	—	2	2	no	—
437	C₂³×C₁₃₉	—	2	2	no	—
438	C₂³×C₁₃₉	—	2	1	no	—
439	C₂³×C₁₃₉	—	2	1	no	—
440	C₂³×C₁₃₉	—	2	2	no	—
441	C₂³×C₁₃₉	—	2	2	no	—
442	C₂³×C₁₃₉	—	2	2	no	—
443	C₂³×C₁₃₉	—	2	2	no	—
444	C₂³×C₁₃₉	—	2	2	no	—
445	C₂³×C₁₃₉	—	2	1	no	—
446	C₂³×C₁₃₉	—	2	1	no	—
447	C₂³×C₁₃₉	—	2	2	no	—
448	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
449	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
450	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
451	Q₈×C₁₃₉	—	4	4	no	—
452	D₄×C₁₃₉	—	4	4	no	—
453	D₄×C₁₃₉	—	4	4	no	—
454	D₄×C₁₃₉	—	4	4	no	—
455	D₄×C₁₃₉	—	4	4	no	—
456	D₄×C₁₃₉	—	4	4	no	—
457	D₄×C₁₃₉	—	8	4	no	—
458	D₄×C₁₃₉	—	8	4	no	—
459	D₄×C₁₃₉	—	8	4	no	—
460	D₄×C₁₃₉	—	8	4	no	—
461	D₄×C₁₃₉	—	8	4	no	—
462	D₄×C₁₃₉	—	8	4	no	—
463	D₄×C₁₃₉	—	8	4	no	—
464	D₄×C₁₃₉	—	8	4	no	—
465	C₂×C₄×C₁₃₉	—	2	1	no	—
466	C₂×C₄×C₁₃₉	—	2	1	no	—
467	C₂×C₄×C₁₃₉	—	2	1	no	—
468	C₂×C₄×C₁₃₉	—	2	1	no	—
469	C₂×C₄×C₁₃₉	—	2	1	no	—
470	C₂×C₄×C₁₃₉	—	2	1	no	—
471	C₂×C₄×C₁₃₉	—	2	1	no	—
472	C₂×C₄×C₁₃₉	—	2	1	no	—
473	C₂×C₄×C₁₃₉	—	2	1	no	—
474	C₂×C₄×C₁₃₉	—	2	1	no	—
475	C₂×C₄×C₁₃₉	—	2	1	no	—
476	C₂×C₄×C₁₃₉	—	2	1	no	—
477	C₂×C₄×C₁₃₉	—	2	8	no	—
478	C₂×C₄×C₁₃₉	—	2	1	no	—
479	C₂×C₄×C₁₃₉	—	2	1	no	—
480	C₂×C₄×C₁₃₉	—	2	1	no	—
481	C₂×C₄×C₁₃₉	—	2	1	no	—
482	C₂×C₄×C₁₃₉	—	2	1	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	2	no	—
488	C₂×C₄×C₁₃₉	—	2	2	no	—
489	C₂×C₄×C₁₃₉	—	2	2	no	—
490	C₂×C₄×C₁₃₉	—	2	2	no	—
491	C₂×C₄×C₁₃₉	—	2	1	no	—
492	C₂×C₄×C₁₃₉	—	2	1	no	—
493	C₂×C₄×C₁₃₉	—	2	1	no	—
494	C₂×C₄×C₁₃₉	—	2	1	no	—
495	C₂×C₄×C₁₃₉	—	2	2	no	—
496	C₂×C₄×C₁₃₉	—	2	1	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	1	no	—
503	C₂×C₄×C₁₃₉	—	2	1	no	—
504	C₂×C₄×C₁₃₉	—	2	1	no	—
505	C₂×C₄×C₁₃₉	—	2	2	no	—
506	C₂×C₄×C₁₃₉	—	2	1	no	—
507	C₂×C₄×C₁₃₉	—	2	2	no	—
508	C₂×C₄×C₁₃₉	—	2	2	no	—
509	C₂×C₄×C₁₃₉	—	2	1	no	—
510	C₂×C₄×C₁₃₉	—	2	2	no	—
511	C₂×C₄×C₁₃₉	—	4	4	no	—
512	C₂×C₄×C₁₃₉	—	4	4	no	—
513	C₂×C₄×C₁₃₉	—	4	4	no	—
514	C₂×C₄×C₁₃₉	—	4	4	no	—
515	C₂×C₄×C₁₃₉	—	8	4	no	—
516	C₂×C₄×C₁₃₉	—	8	4	no	—
517	C₂×C₄×C₁₃₉	—	8	4	no	—
518	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
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	H(5,𝔽₂)	1	2	yes	—
525	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
526	C₂×C₄×C₁₃₉	2₋¹⁺⁴	1	2	yes	—
527	C₂²×C₁₃₉	—	2	2	no	—
528	C₂²×C₁₃₉	—	2	2	no	—
529	C₂²×C₁₃₉	—	2	2	no	—
530	C₂²×C₁₃₉	—	2	2	no	—
531	C₂²×C₁₃₉	—	2	2	no	—
532	C₂²×C₁₃₉	—	2	2	no	—
533	C₂²×C₁₃₉	—	4	1	no	—
534	C₂²×C₁₃₉	—	4	1	no	—
535	C₂²×C₁₃₉	—	4	1	no	—
536	C₂²×C₁₃₉	—	4	1	no	—
537	C₂²×C₁₃₉	—	4	1	no	—
538	C₂²×C₁₃₉	—	4	1	no	—
539	C₂²×C₁₃₉	—	4	1	no	—
540	C₂²×C₁₃₉	—	4	1	no	—
541	C₂²×C₁₃₉	—	4	1	no	—
542	C₂²×C₁₃₉	—	4	2	no	—
543	C₂²×C₁₃₉	—	4	2	no	—
544	C₂²×C₁₃₉	—	4	2	no	—
545	C₂²×C₁₃₉	—	4	2	no	—
546	C₂²×C₁₃₉	—	4	1	no	—
547	C₂²×C₁₃₉	—	4	1	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	2	no	—
555	C₂²×C₁₃₉	—	4	1	no	—
556	C₂²×C₁₃₉	—	4	1	no	—
557	C₂²×C₁₃₉	—	4	2	no	—
558	C₂²×C₁₃₉	—	4	2	no	—
559	C₂²×C₁₃₉	—	4	1	no	—
560	C₂²×C₁₃₉	—	4	2	no	—
561	C₂²×C₁₃₉	—	4	2	no	—
562	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
563	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
564	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
565	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
566	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
567	C₂²×C₁₃₉	#585	1	1	yes	characteristic
568	C₂²×C₁₃₉	#585	1	1	yes	characteristic
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	2	no	—
574	C₄×C₁₃₉	—	2	2	no	—
575	C₄×C₁₃₉	—	4	1	no	—
576	C₄×C₁₃₉	—	4	1	no	—
577	C₄×C₁₃₉	—	4	1	no	—
578	C₄×C₁₃₉	—	4	2	no	—
579	C₄×C₁₃₉	—	4	2	no	—
580	C₄×C₁₃₉	—	4	1	no	—
581	C₄×C₁₃₉	—	4	1	no	—
582	C₄×C₁₃₉	—	4	2	no	—
583	C₄×C₁₃₉	—	4	2	no	—
584	C₄×C₁₃₉	—	4	2	no	—
585	C₄×C₁₃₉	—	4	2	no	—
586	C₄×C₁₃₉	#537	1	4	yes	—
587	C₂×C₁₃₉	—	4	2	no	—
588	C₂×C₁₃₉	—	4	2	no	—
589	C₂×C₁₃₉	—	8	1	no	—
590	C₂×C₁₃₉	—	8	2	no	—
591	C₂×C₁₃₉	—	8	2	no	—
592	C₂×C₁₃₉	C₂×#537	1	1	yes	characteristic
593	C₂×C₁₃₉	#3488	1	1	yes	characteristic
594	C₂×C₁₃₉	#3488	1	1	yes	characteristic
595	C₂×C₁₃₉	#3543	1	1	yes	characteristic
596	C₂×C₁₃₉	#3547	1	1	yes	characteristic
597	C₂×C₁₃₉	#3559	1	1	yes	characteristic
598	C₂×C₁₃₉	#3562	1	1	yes	characteristic
599	#37276	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
600	C₁₃₉	#37276	1	1	yes	characteristic, direct product factor, Sylow
601	C₂×#540	C₂×C₁₃₉	1	1	yes	characteristic, complemented
602	C₂×#529	C₂×C₁₃₉	1	1	yes	characteristic, complemented
603	#2856	C₂×C₁₃₉	1	1	yes	characteristic, complemented
604	#2851	C₂×C₁₃₉	1	1	yes	characteristic, complemented
605	#2707	C₂×C₁₃₉	1	2	yes	complemented
606	#2705	C₂×C₁₃₉	1	2	yes	complemented
607	#2691	C₂×C₁₃₉	1	2	yes	complemented
608	#2682	C₂×C₁₃₉	1	2	yes	complemented
609	#2681	C₂×C₁₃₉	1	2	yes	complemented
610	#2676	C₂×C₁₃₉	1	2	yes	complemented
611	#2675	C₂×C₁₃₉	1	2	yes	complemented
612	#2671	C₂×C₁₃₉	1	2	yes	complemented
613	#2629	C₂×C₁₃₉	1	1	yes	characteristic, complemented
614	#2619	C₂×C₁₃₉	1	1	yes	characteristic, complemented
615	#2580	C₂×C₁₃₉	1	1	yes	characteristic, complemented
616	#2538	C₂×C₁₃₉	1	1	yes	characteristic, complemented
617	#2537	C₂×C₁₃₉	1	1	yes	characteristic, complemented
618	#2535	C₂×C₁₃₉	1	1	yes	characteristic, complemented
619	#2416	C₂×C₁₃₉	1	1	yes	characteristic, complemented
620	#2416	C₂×C₁₃₉	1	1	yes	characteristic, complemented
621	#2414	C₂×C₁₃₉	1	1	yes	characteristic, complemented
622	#2414	C₂×C₁₃₉	1	1	yes	characteristic, complemented
623	#2317	C₂×C₁₃₉	1	1	yes	characteristic, complemented
624	#540	—	2	8	no	—
625	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic
626	#529	—	2	8	no	—
627	C₂×#126	C₂²×C₁₃₉	1	1	yes	characteristic
628	C₂×#126	C₂²×C₁₃₉	1	1	yes	characteristic
629	C₂×#125	C₂²×C₁₃₉	1	1	yes	characteristic
630	C₂×#125	C₂²×C₁₃₉	1	1	yes	characteristic
631	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
632	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
633	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
634	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
635	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
636	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
637	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
638	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
639	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
640	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
641	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
642	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
643	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
644	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
645	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
646	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
647	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
648	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
649	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
650	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
651	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
652	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
653	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
654	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
655	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
656	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
657	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
658	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
659	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
660	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
661	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
662	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
663	#399	C₂²×C₁₃₉	1	2	yes	—
664	#398	C₂²×C₁₃₉	1	2	yes	—
665	#398	C₂²×C₁₃₉	1	2	yes	—
666	#397	C₂²×C₁₃₉	1	2	yes	—
667	#396	C₂²×C₁₃₉	1	2	yes	—
668	#396	C₂²×C₁₃₉	1	2	yes	—
669	#396	C₂²×C₁₃₉	1	2	yes	—
670	#396	C₂²×C₁₃₉	1	2	yes	—
671	#396	C₂²×C₁₃₉	1	2	yes	—
672	#396	C₂²×C₁₃₉	1	2	yes	—
673	#394	C₂²×C₁₃₉	1	2	yes	—
674	#394	C₂²×C₁₃₉	1	2	yes	—
675	#394	C₂²×C₁₃₉	1	2	yes	—
676	#394	C₂²×C₁₃₉	1	2	yes	—
677	#394	C₂²×C₁₃₉	1	2	yes	—
678	#394	C₂²×C₁₃₉	1	2	yes	—
679	#394	C₂²×C₁₃₉	1	2	yes	—
680	#394	C₂²×C₁₃₉	1	2	yes	—
681	#393	C₂²×C₁₃₉	1	2	yes	—
682	#392	C₂²×C₁₃₉	1	2	yes	—
683	#392	C₂²×C₁₃₉	1	2	yes	—
684	#392	C₂²×C₁₃₉	1	2	yes	—
685	#392	C₂²×C₁₃₉	1	2	yes	—
686	#392	C₂²×C₁₃₉	1	2	yes	—
687	#390	C₂²×C₁₃₉	1	1	yes	characteristic
688	#390	C₂²×C₁₃₉	1	1	yes	characteristic
689	#390	C₂²×C₁₃₉	1	1	yes	characteristic
690	#390	C₂²×C₁₃₉	1	2	yes	—
691	#390	C₂²×C₁₃₉	1	2	yes	—
692	#390	C₂²×C₁₃₉	1	1	yes	characteristic
693	#390	C₂²×C₁₃₉	1	2	yes	—
694	#390	C₂²×C₁₃₉	1	2	yes	—
695	#389	C₂²×C₁₃₉	1	2	yes	—
696	#389	C₂²×C₁₃₉	1	2	yes	—
697	#389	C₂²×C₁₃₉	1	1	yes	characteristic
698	#389	C₂²×C₁₃₉	1	1	yes	characteristic
699	#389	C₂²×C₁₃₉	1	1	yes	characteristic
700	#389	C₂²×C₁₃₉	1	1	yes	characteristic
701	#388	C₂²×C₁₃₉	1	2	yes	—
702	#388	C₂²×C₁₃₉	1	2	yes	—
703	#387	C₂²×C₁₃₉	1	2	yes	—
704	#387	C₂²×C₁₃₉	1	2	yes	—
705	#386	C₂²×C₁₃₉	1	2	yes	—
706	#386	C₂²×C₁₃₉	1	2	yes	—
707	#386	C₂²×C₁₃₉	1	2	yes	—
708	#386	C₂²×C₁₃₉	1	2	yes	—
709	#385	C₂²×C₁₃₉	1	2	yes	—
710	#385	C₂²×C₁₃₉	1	2	yes	—
711	#385	C₂²×C₁₃₉	1	2	yes	—
712	#385	C₂²×C₁₃₉	1	2	yes	—
713	#385	C₂²×C₁₃₉	1	2	yes	—
714	#385	C₂²×C₁₃₉	1	2	yes	—
715	#384	C₂²×C₁₃₉	1	1	yes	characteristic
716	#384	C₂²×C₁₃₉	1	1	yes	characteristic
717	#382	C₂²×C₁₃₉	1	1	yes	characteristic
718	#382	C₂²×C₁₃₉	1	1	yes	characteristic
719	#380	C₂²×C₁₃₉	1	1	yes	characteristic
720	#380	C₂²×C₁₃₉	1	1	yes	characteristic
721	#380	C₂²×C₁₃₉	1	1	yes	characteristic
722	#380	C₂²×C₁₃₉	1	1	yes	characteristic
723	#380	C₂²×C₁₃₉	1	2	yes	—
724	#380	C₂²×C₁₃₉	1	2	yes	—
725	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
726	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
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	1	yes	characteristic
731	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
732	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
733	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
734	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
735	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
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	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
740	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
741	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
742	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
743	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
744	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
745	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
746	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
747	#127	—	2	4	no	—
748	#126	—	2	4	no	—
749	#126	—	2	4	no	—
750	#125	—	2	4	no	—
751	#125	—	2	4	no	—
752	#124	—	2	4	no	—
753	#123	—	2	4	no	—
754	#123	—	2	8	no	—
755	#123	—	2	8	no	—
756	#123	—	2	4	no	—
757	C₂²⋊Q₈	—	2	4	no	—
758	C₂²⋊Q₈	—	4	4	no	—
759	#121	—	2	4	no	—
760	#121	—	2	4	no	—
761	#121	—	2	4	no	—
762	#121	—	2	8	no	—
763	#121	—	2	8	no	—
764	#121	—	4	4	no	—
765	#121	—	4	4	no	—
766	#121	—	4	4	no	—
767	#121	—	4	4	no	—
768	#121	—	4	2	no	—
769	#121	—	4	2	no	—
770	#121	—	4	2	no	—
771	#121	—	4	2	no	—
772	#121	—	4	4	no	—
773	C₄×Q₈	—	2	4	no	—
774	C₄×D₄	—	2	4	no	—
775	C₄×D₄	—	2	4	no	—
776	C₄×D₄	—	2	4	no	—
777	C₄×D₄	—	2	4	no	—
778	C₄×D₄	—	2	4	no	—
779	#117	—	2	4	no	—
780	#117	—	4	2	no	—
781	#117	D₄×C₁₃₉	1	8	yes	complemented
782	C₂×C₄⋊C₄	—	4	2	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	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	1	yes	characteristic
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	1	yes	characteristic
794	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
795	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
796	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
797	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
798	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
799	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
800	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
801	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
802	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
803	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
804	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
805	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
806	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
807	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
808	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
809	C₂×C₄⋊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	1	yes	characteristic
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	1	yes	characteristic
818	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
819	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
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	2	yes	—
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	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	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	2	yes	—
838	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
839	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
840	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
841	C₂×C₄²	—	2	4	no	—
842	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
843	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
844	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
845	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
846	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
847	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
848	C₂×C₄²	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	#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	C₂⁴×C₁₃₉	1	1	yes	characteristic
862	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
863	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
864	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
865	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
866	C₂×Q₈	—	2	2	no	—
867	C₂×Q₈	—	2	2	no	—
868	C₂×Q₈	—	4	1	no	—
869	C₂×D₄	—	2	2	no	—
870	C₂×D₄	—	2	2	no	—
871	C₂×D₄	—	2	2	no	—
872	C₂×D₄	—	2	2	no	—
873	C₂×D₄	—	2	4	no	—
874	C₂×D₄	—	2	4	no	—
875	C₂×D₄	—	2	4	no	—
876	C₂×D₄	—	2	4	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	2	2	no	—
879	C₂×D₄	—	2	2	no	—
880	C₂×D₄	—	2	4	no	—
881	C₂×D₄	—	2	4	no	—
882	C₂×D₄	—	2	2	no	—
883	C₂×D₄	—	2	2	no	—
884	C₂×D₄	—	2	2	no	—
885	C₂×D₄	—	2	2	no	—
886	C₂×D₄	—	2	2	no	—
887	C₂×D₄	—	4	1	no	—
888	C₂×D₄	—	4	1	no	—
889	C₂×D₄	—	4	1	no	—
890	C₂×D₄	—	4	2	no	—
891	C₂×D₄	—	4	2	no	—
892	C₂×D₄	—	4	2	no	—
893	C₂×D₄	—	4	2	no	—
894	C₂×D₄	—	4	2	no	—
895	C₂×D₄	—	4	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	2	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	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	2	no	—
916	C₂²×C₄	—	2	2	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	4	no	—
922	C₂²×C₄	—	4	1	no	—
923	C₂²×C₄	—	4	1	no	—
924	C₂²×C₄	—	4	2	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	C₂×D₄×C₁₃₉	1	4	yes	—
932	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
933	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
934	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
935	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
936	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
937	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
938	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
939	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
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	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	2	no	—
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	4	no	—
961	C₄⋊C₄	—	2	4	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	4	no	—
967	C₄⋊C₄	—	4	2	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	—	4	2	no	—
973	C₄⋊C₄	—	4	2	no	—
974	C₄⋊C₄	—	4	2	no	—
975	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
976	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	4	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	4	no	—
983	C₂²⋊C₄	—	2	4	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	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	—	4	2	no	—
993	C₂²⋊C₄	—	4	2	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	—	4	2	no	—
1003	C₂²⋊C₄	—	4	2	no	—
1004	C₂²⋊C₄	—	4	2	no	—
1005	C₂²⋊C₄	—	4	2	no	—
1006	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1007	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1008	C₄²	—	2	2	no	—
1009	C₄²	—	2	2	no	—
1010	C₄²	—	2	2	no	—
1011	C₄²	—	2	2	no	—
1012	C₄²	—	4	2	no	—
1013	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
1014	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
1015	C₂³	—	2	1	no	—
1016	C₂³	—	2	1	no	—
1017	C₂³	—	2	1	no	—
1018	C₂³	—	2	1	no	—
1019	C₂³	—	2	1	no	—
1020	C₂³	—	2	1	no	—
1021	C₂³	—	2	1	no	—
1022	C₂³	—	2	1	no	—
1023	C₂³	—	2	1	no	—
1024	C₂³	—	2	1	no	—
1025	C₂³	—	2	1	no	—
1026	C₂³	—	2	1	no	—
1027	C₂³	—	2	1	no	—
1028	C₂³	—	2	2	no	—
1029	C₂³	—	2	2	no	—
1030	C₂³	—	2	2	no	—
1031	C₂³	—	2	2	no	—
1032	C₂³	—	2	1	no	—
1033	C₂³	—	2	1	no	—
1034	C₂³	—	2	2	no	—
1035	C₂³	—	2	2	no	—
1036	C₂³	—	2	2	no	—
1037	C₂³	—	2	2	no	—
1038	C₂³	—	2	1	no	—
1039	C₂³	—	2	1	no	—
1040	C₂³	—	2	2	no	—
1041	C₂³	—	2	2	no	—
1042	C₂³	—	2	2	no	—
1043	C₂³	—	2	2	no	—
1044	C₂³	—	2	2	no	—
1045	C₂³	—	2	1	no	—
1046	C₂³	—	2	2	no	—
1047	C₂³	—	2	1	no	—
1048	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1049	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1050	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1051	Q₈	—	4	4	no	—
1052	D₄	—	4	4	no	—
1053	D₄	—	4	4	no	—
1054	D₄	—	4	4	no	—
1055	D₄	—	4	4	no	—
1056	D₄	—	4	4	no	—
1057	D₄	—	8	4	no	—
1058	D₄	—	8	4	no	—
1059	D₄	—	8	4	no	—
1060	D₄	—	8	4	no	—
1061	D₄	—	8	4	no	—
1062	D₄	—	8	4	no	—
1063	D₄	—	8	4	no	—
1064	D₄	—	8	4	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	8	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	1	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	2	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	2	2	no	—
1090	C₂×C₄	—	2	2	no	—
1091	C₂×C₄	—	2	1	no	—
1092	C₂×C₄	—	2	1	no	—
1093	C₂×C₄	—	2	1	no	—
1094	C₂×C₄	—	2	2	no	—
1095	C₂×C₄	—	2	1	no	—
1096	C₂×C₄	—	2	1	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	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	2	no	—
1108	C₂×C₄	—	2	2	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	2	no	—
1111	C₂×C₄	—	4	4	no	—
1112	C₂×C₄	—	4	4	no	—
1113	C₂×C₄	—	4	4	no	—
1114	C₂×C₄	—	4	4	no	—
1115	C₂×C₄	—	8	4	no	—
1116	C₂×C₄	—	8	4	no	—
1117	C₂×C₄	—	8	4	no	—
1118	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1119	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1120	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1121	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1122	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1123	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1124	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1125	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1126	C₂×C₄	2₋¹⁺⁴×C₁₃₉	1	2	yes	—
1127	C₂²	—	2	2	no	—
1128	C₂²	—	2	2	no	—
1129	C₂²	—	2	2	no	—
1130	C₂²	—	2	2	no	—
1131	C₂²	—	2	2	no	—
1132	C₂²	—	2	2	no	—
1133	C₂²	—	4	1	no	—
1134	C₂²	—	4	1	no	—
1135	C₂²	—	4	1	no	—
1136	C₂²	—	4	1	no	—
1137	C₂²	—	4	1	no	—
1138	C₂²	—	4	1	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	2	no	—
1145	C₂²	—	4	2	no	—
1146	C₂²	—	4	1	no	—
1147	C₂²	—	4	1	no	—
1148	C₂²	—	4	2	no	—
1149	C₂²	—	4	2	no	—
1150	C₂²	—	4	1	no	—
1151	C₂²	—	4	2	no	—
1152	C₂²	—	4	2	no	—
1153	C₂²	—	4	1	no	—
1154	C₂²	—	4	2	no	—
1155	C₂²	—	4	2	no	—
1156	C₂²	—	4	2	no	—
1157	C₂²	—	4	2	no	—
1158	C₂²	—	4	1	no	—
1159	C₂²	—	4	1	no	—
1160	C₂²	—	4	2	no	—
1161	C₂²	—	4	2	no	—
1162	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1163	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1164	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1165	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1166	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	1	yes	characteristic
1167	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1168	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1169	C₄	—	2	2	no	—
1170	C₄	—	2	2	no	—
1171	C₄	—	2	2	no	—
1172	C₄	—	2	2	no	—
1173	C₄	—	2	2	no	—
1174	C₄	—	2	2	no	—
1175	C₄	—	4	2	no	—
1176	C₄	—	4	2	no	—
1177	C₄	—	4	2	no	—
1178	C₄	—	4	2	no	—
1179	C₄	—	4	1	no	—
1180	C₄	—	4	1	no	—
1181	C₄	—	4	1	no	—
1182	C₄	—	4	2	no	—
1183	C₄	—	4	2	no	—
1184	C₄	—	4	1	no	—
1185	C₄	—	4	1	no	—
1186	C₄	#537×C₁₃₉	1	4	yes	—
1187	C₂	—	4	2	no	—
1188	C₂	—	4	2	no	—
1189	C₂	—	8	1	no	—
1190	C₂	—	8	2	no	—
1191	C₂	—	8	2	no	—
1192	C₂	C₂×#537×C₁₃₉	1	1	yes	characteristic
1193	C₂	#3488×C₁₃₉	1	1	yes	characteristic
1194	C₂	#3488×C₁₃₉	1	1	yes	characteristic
1195	C₂	#3543×C₁₃₉	1	1	yes	characteristic
1196	C₂	#3547×C₁₃₉	1	1	yes	characteristic
1197	C₂	#3559×C₁₃₉	1	1	yes	characteristic
1198	C₂	#3562×C₁₃₉	1	1	yes	characteristic

	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×#540×C₁₃₉	C₂	semidirect
2. C₂×#529×C₁₃₉	C₂	semidirect
3. #2856×C₁₃₉	C₂	semidirect
4. #2851×C₁₃₉	C₂	semidirect
5. #2707×C₁₃₉	C₂	semidirect
6. #2705×C₁₃₉	C₂	semidirect
7. #2691×C₁₃₉	C₂	semidirect
8. #2682×C₁₃₉	C₂	semidirect
9. #2681×C₁₃₉	C₂	semidirect
10. #2676×C₁₃₉	C₂	semidirect
11. #2675×C₁₃₉	C₂	semidirect
12. #2671×C₁₃₉	C₂	semidirect
13. #2629×C₁₃₉	C₂	semidirect
14. #2619×C₁₃₉	C₂	semidirect
15. #2580×C₁₃₉	C₂	semidirect
16. #2538×C₁₃₉	C₂	semidirect
17. #2537×C₁₃₉	C₂	semidirect
18. #2535×C₁₃₉	C₂	semidirect
19. #2416×C₁₃₉	C₂	semidirect
20. #2416×C₁₃₉	C₂	semidirect
21. #2414×C₁₃₉	C₂	semidirect
22. #2414×C₁₃₉	C₂	semidirect
23. #2317×C₁₃₉	C₂	semidirect
181. #117×C₁₃₉	D₄	semidirect
599. #37276	C₁₃₉	direct (N × H)
600. C₁₃₉	#37276	direct (N × H)
601. C₂×#540	C₂×C₁₃₉	semidirect
602. C₂×#529	C₂×C₁₃₉	semidirect
603. #2856	C₂×C₁₃₉	semidirect
604. #2851	C₂×C₁₃₉	semidirect
605. #2707	C₂×C₁₃₉	semidirect
606. #2705	C₂×C₁₃₉	semidirect
607. #2691	C₂×C₁₃₉	semidirect
608. #2682	C₂×C₁₃₉	semidirect
609. #2681	C₂×C₁₃₉	semidirect
610. #2676	C₂×C₁₃₉	semidirect
611. #2675	C₂×C₁₃₉	semidirect
612. #2671	C₂×C₁₃₉	semidirect
613. #2629	C₂×C₁₃₉	semidirect
614. #2619	C₂×C₁₃₉	semidirect
615. #2580	C₂×C₁₃₉	semidirect
616. #2538	C₂×C₁₃₉	semidirect
617. #2537	C₂×C₁₃₉	semidirect
618. #2535	C₂×C₁₃₉	semidirect
619. #2416	C₂×C₁₃₉	semidirect
620. #2416	C₂×C₁₃₉	semidirect
621. #2414	C₂×C₁₃₉	semidirect
622. #2414	C₂×C₁₃₉	semidirect
623. #2317	C₂×C₁₃₉	semidirect
781. #117	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×#540×C₁₃₉	2
C₂×#529×C₁₃₉	2
#2856×C₁₃₉	2
#2851×C₁₃₉	2
#2707×C₁₃₉	2
#2705×C₁₃₉	2
#2691×C₁₃₉	2
#2682×C₁₃₉	2
#2681×C₁₃₉	2
#2676×C₁₃₉	2
#2675×C₁₃₉	2
#2671×C₁₃₉	2
#2629×C₁₃₉	2
#2619×C₁₃₉	2
#2580×C₁₃₉	2
#2538×C₁₃₉	2
#2537×C₁₃₉	2
#2535×C₁₃₉	2
#2416×C₁₃₉	2
#2414×C₁₃₉	2
#2317×C₁₃₉	2
#37276	139

Subgroups — C139×#37276 #48031872

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#37276 #48031872