Subgroups — C₁₃₉×#37332 #48031928

Order 35584.

2098 conjugacy classes of subgroups.

The subgroup lattice has 1158 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2856×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#2854×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2797×C₁₃₉	C₂	1	2	yes	maximal, complemented
4	#2752×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2703×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2699×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2688×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2673×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2673×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2671×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2624×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2619×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2570×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2541×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2541×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2535×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2428×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2428×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2422×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#2420×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2328×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	#2319×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	#2290×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic
25	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic
27	C₂×#127×C₁₃₉	C₂²	1	2	yes	—
28	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
29	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
30	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
31	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
37	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
38	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
39	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
40	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
41	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
42	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
46	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
47	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
48	#400×C₁₃₉	C₂²	1	2	yes	—
49	#399×C₁₃₉	C₂²	1	2	yes	—
50	#398×C₁₃₉	C₂²	1	2	yes	—
51	#397×C₁₃₉	C₂²	1	2	yes	—
52	#397×C₁₃₉	C₂²	1	2	yes	—
53	#397×C₁₃₉	C₂²	1	2	yes	—
54	#397×C₁₃₉	C₂²	1	2	yes	—
55	#394×C₁₃₉	C₂²	1	2	yes	—
56	#394×C₁₃₉	C₂²	1	2	yes	—
57	#394×C₁₃₉	C₂²	1	2	yes	—
58	#394×C₁₃₉	C₂²	1	2	yes	—
59	#394×C₁₃₉	C₂²	1	2	yes	—
60	#394×C₁₃₉	C₂²	1	2	yes	—
61	#394×C₁₃₉	C₂²	1	2	yes	—
62	#394×C₁₃₉	C₂²	1	2	yes	—
63	#392×C₁₃₉	C₂²	1	2	yes	—
64	#392×C₁₃₉	C₂²	1	2	yes	—
65	#392×C₁₃₉	C₂²	1	2	yes	—
66	#392×C₁₃₉	C₂²	1	2	yes	—
67	#392×C₁₃₉	C₂²	1	2	yes	—
68	#392×C₁₃₉	C₂²	1	2	yes	—
69	#392×C₁₃₉	C₂²	1	2	yes	—
70	#392×C₁₃₉	C₂²	1	2	yes	—
71	#392×C₁₃₉	C₂²	1	2	yes	—
72	#390×C₁₃₉	C₂²	1	2	yes	—
73	#390×C₁₃₉	C₂²	1	1	yes	characteristic
74	#390×C₁₃₉	C₂²	1	1	yes	characteristic
75	#390×C₁₃₉	C₂²	1	2	yes	—
76	#390×C₁₃₉	C₂²	1	1	yes	characteristic
77	#390×C₁₃₉	C₂²	1	1	yes	characteristic
78	#390×C₁₃₉	C₂²	1	1	yes	characteristic
79	#390×C₁₃₉	C₂²	1	1	yes	characteristic
80	#390×C₁₃₉	C₂²	1	2	yes	—
81	#389×C₁₃₉	C₂²	1	1	yes	characteristic
82	#389×C₁₃₉	C₂²	1	1	yes	characteristic
83	#389×C₁₃₉	C₂²	1	1	yes	characteristic
84	#389×C₁₃₉	C₂²	1	1	yes	characteristic
85	#388×C₁₃₉	C₂²	1	2	yes	—
86	#388×C₁₃₉	C₂²	1	2	yes	—
87	#388×C₁₃₉	C₂²	1	1	yes	characteristic
88	#388×C₁₃₉	C₂²	1	1	yes	characteristic
89	#388×C₁₃₉	C₂²	1	2	yes	—
90	#388×C₁₃₉	C₂²	1	2	yes	—
91	#387×C₁₃₉	C₂²	1	1	yes	characteristic
92	#387×C₁₃₉	C₂²	1	2	yes	—
93	#387×C₁₃₉	C₂²	1	1	yes	characteristic
94	#387×C₁₃₉	C₂²	1	2	yes	—
95	#386×C₁₃₉	C₂²	1	2	yes	—
96	#386×C₁₃₉	C₂²	1	2	yes	—
97	#386×C₁₃₉	C₂²	1	2	yes	—
98	#386×C₁₃₉	C₂²	1	2	yes	—
99	#386×C₁₃₉	C₂²	1	1	yes	characteristic
100	#386×C₁₃₉	C₂²	1	1	yes	characteristic
101	#386×C₁₃₉	C₂²	1	2	yes	—
102	#386×C₁₃₉	C₂²	1	2	yes	—
103	#386×C₁₃₉	C₂²	1	2	yes	—
104	#386×C₁₃₉	C₂²	1	2	yes	—
105	#386×C₁₃₉	C₂²	1	2	yes	—
106	#386×C₁₃₉	C₂²	1	2	yes	—
107	#385×C₁₃₉	C₂²	1	2	yes	—
108	#385×C₁₃₉	C₂²	1	1	yes	characteristic
109	#385×C₁₃₉	C₂²	1	1	yes	characteristic
110	#384×C₁₃₉	C₂²	1	1	yes	characteristic
111	#382×C₁₃₉	C₂²	1	1	yes	characteristic
112	#382×C₁₃₉	C₂²	1	1	yes	characteristic
113	#381×C₁₃₉	C₂²	1	2	yes	—
114	#381×C₁₃₉	C₂²	1	2	yes	—
115	#380×C₁₃₉	C₂²	1	1	yes	characteristic
116	#380×C₁₃₉	C₂²	1	1	yes	characteristic
117	#380×C₁₃₉	C₂²	1	2	yes	—
118	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
119	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
121	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
122	#376×C₁₃₉	C₂²	1	1	yes	characteristic
123	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
124	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
125	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
127	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
128	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
129	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
130	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
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	2	yes	—
144	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
145	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
146	#127×C₁₃₉	—	2	4	no	—
147	#127×C₁₃₉	—	4	2	no	—
148	#127×C₁₃₉	—	4	2	no	—
149	#127×C₁₃₉	—	4	4	no	—
150	#123×C₁₃₉	—	4	4	no	—
151	#123×C₁₃₉	—	4	4	no	—
152	#121×C₁₃₉	—	4	4	no	—
153	#121×C₁₃₉	—	4	4	no	—
154	#121×C₁₃₉	—	4	4	no	—
155	#121×C₁₃₉	—	4	4	no	—
156	#121×C₁₃₉	—	4	2	no	—
157	#121×C₁₃₉	—	4	2	no	—
158	#121×C₁₃₉	—	4	2	no	—
159	#121×C₁₃₉	—	4	2	no	—
160	#121×C₁₃₉	—	4	2	no	—
161	#121×C₁₃₉	—	4	2	no	—
162	#121×C₁₃₉	—	4	4	no	—
163	#121×C₁₃₉	—	4	4	no	—
164	C₄×D₄×C₁₃₉	—	2	4	no	—
165	C₄×D₄×C₁₃₉	—	2	4	no	—
166	C₄×D₄×C₁₃₉	—	4	2	no	—
167	C₄×D₄×C₁₃₉	—	4	2	no	—
168	#117×C₁₃₉	—	4	2	no	—
169	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
170	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
171	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
172	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
173	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
174	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
175	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
176	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
177	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
178	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
179	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
180	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
182	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
183	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
184	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
185	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
186	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
187	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
188	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
189	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
190	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
191	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
192	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
193	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
196	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
197	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
198	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
199	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
200	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
201	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
205	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
212	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
213	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
214	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
216	C₂×C₄²×C₁₃₉	—	4	2	no	—
217	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
224	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
225	#95×C₁₃₉	C₂³	1	2	yes	—
226	#95×C₁₃₉	C₂³	1	1	yes	characteristic
227	#95×C₁₃₉	C₂³	1	1	yes	characteristic
228	#95×C₁₃₉	C₂³	1	2	yes	—
229	#95×C₁₃₉	C₂³	1	2	yes	—
230	#95×C₁₃₉	C₂³	1	2	yes	—
231	#95×C₁₃₉	C₂³	1	2	yes	—
232	#95×C₁₃₉	C₂³	1	2	yes	—
233	#95×C₁₃₉	C₂³	1	2	yes	—
234	#95×C₁₃₉	C₂³	1	2	yes	—
235	#95×C₁₃₉	C₂³	1	2	yes	—
236	#95×C₁₃₉	C₂³	1	2	yes	—
237	#95×C₁₃₉	C₂³	1	2	yes	—
238	#95×C₁₃₉	C₂³	1	1	yes	characteristic
239	#95×C₁₃₉	C₂³	1	1	yes	characteristic
240	#95×C₁₃₉	C₂³	1	1	yes	characteristic
241	#95×C₁₃₉	C₂³	1	1	yes	characteristic
242	#95×C₁₃₉	C₂³	1	1	yes	characteristic
243	#95×C₁₃₉	C₂³	1	1	yes	characteristic
244	#95×C₁₃₉	C₂³	1	1	yes	characteristic
245	#95×C₁₃₉	C₂³	1	1	yes	characteristic
246	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
247	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
248	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
249	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
250	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
251	C₂×D₄×C₁₃₉	—	2	2	no	—
252	C₂×D₄×C₁₃₉	—	2	4	no	—
253	C₂×D₄×C₁₃₉	—	2	4	no	—
254	C₂×D₄×C₁₃₉	—	2	4	no	—
255	C₂×D₄×C₁₃₉	—	2	2	no	—
256	C₂×D₄×C₁₃₉	—	2	2	no	—
257	C₂×D₄×C₁₃₉	—	2	2	no	—
258	C₂×D₄×C₁₃₉	—	2	2	no	—
259	C₂×D₄×C₁₃₉	—	2	4	no	—
260	C₂×D₄×C₁₃₉	—	2	4	no	—
261	C₂×D₄×C₁₃₉	—	2	2	no	—
262	C₂×D₄×C₁₃₉	—	2	2	no	—
263	C₂×D₄×C₁₃₉	—	2	2	no	—
264	C₂×D₄×C₁₃₉	—	2	2	no	—
265	C₂×D₄×C₁₃₉	—	2	2	no	—
266	C₂×D₄×C₁₃₉	—	2	2	no	—
267	C₂×D₄×C₁₃₉	—	2	4	no	—
268	C₂×D₄×C₁₃₉	—	2	4	no	—
269	C₂×D₄×C₁₃₉	—	4	1	no	—
270	C₂×D₄×C₁₃₉	—	4	2	no	—
271	C₂×D₄×C₁₃₉	—	4	2	no	—
272	C₂×D₄×C₁₃₉	—	4	2	no	—
273	C₂×D₄×C₁₃₉	—	4	2	no	—
274	C₂×D₄×C₁₃₉	—	4	2	no	—
275	C₂×D₄×C₁₃₉	—	4	2	no	—
276	C₂×D₄×C₁₃₉	—	4	2	no	—
277	C₂×D₄×C₁₃₉	—	4	2	no	—
278	C₂×D₄×C₁₃₉	—	4	2	no	—
279	C₂×D₄×C₁₃₉	—	4	2	no	—
280	C₂×D₄×C₁₃₉	—	4	2	no	—
281	C₂×D₄×C₁₃₉	—	4	2	no	—
282	C₂×D₄×C₁₃₉	—	4	2	no	—
283	C₂×D₄×C₁₃₉	—	4	2	no	—
284	C₂×D₄×C₁₃₉	—	4	2	no	—
285	C₂×D₄×C₁₃₉	—	4	2	no	—
286	C₂×D₄×C₁₃₉	—	4	2	no	—
287	C₂×D₄×C₁₃₉	—	4	2	no	—
288	C₂×D₄×C₁₃₉	—	4	2	no	—
289	C₂×D₄×C₁₃₉	—	4	2	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	C₂²×C₄×C₁₃₉	—	2	2	no	—
300	C₂²×C₄×C₁₃₉	—	2	2	no	—
301	C₂²×C₄×C₁₃₉	—	2	2	no	—
302	C₂²×C₄×C₁₃₉	—	2	2	no	—
303	C₂²×C₄×C₁₃₉	—	2	2	no	—
304	C₂²×C₄×C₁₃₉	—	2	2	no	—
305	C₂²×C₄×C₁₃₉	—	2	2	no	—
306	C₂²×C₄×C₁₃₉	—	2	2	no	—
307	C₂²×C₄×C₁₃₉	—	2	2	no	—
308	C₂²×C₄×C₁₃₉	—	2	4	no	—
309	C₂²×C₄×C₁₃₉	—	4	1	no	—
310	C₂²×C₄×C₁₃₉	—	4	1	no	—
311	C₂²×C₄×C₁₃₉	—	4	1	no	—
312	C₂²×C₄×C₁₃₉	—	4	2	no	—
313	C₂²×C₄×C₁₃₉	—	4	2	no	—
314	C₂²×C₄×C₁₃₉	—	4	2	no	—
315	C₂²×C₄×C₁₃₉	—	4	2	no	—
316	C₂²×C₄×C₁₃₉	—	4	2	no	—
317	C₂²×C₄×C₁₃₉	—	4	2	no	—
318	C₂²×C₄×C₁₃₉	—	4	2	no	—
319	C₂²×C₄×C₁₃₉	—	4	2	no	—
320	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
321	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
322	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
323	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
324	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
325	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
326	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
328	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
329	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
330	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
332	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
336	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
337	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
338	C₄⋊C₄×C₁₃₉	—	2	2	no	—
339	C₄⋊C₄×C₁₃₉	—	2	2	no	—
340	C₄⋊C₄×C₁₃₉	—	2	2	no	—
341	C₄⋊C₄×C₁₃₉	—	2	2	no	—
342	C₄⋊C₄×C₁₃₉	—	2	2	no	—
343	C₄⋊C₄×C₁₃₉	—	2	2	no	—
344	C₄⋊C₄×C₁₃₉	—	2	2	no	—
345	C₄⋊C₄×C₁₃₉	—	2	2	no	—
346	C₄⋊C₄×C₁₃₉	—	2	4	no	—
347	C₄⋊C₄×C₁₃₉	—	2	4	no	—
348	C₄⋊C₄×C₁₃₉	—	4	1	no	—
349	C₄⋊C₄×C₁₃₉	—	4	1	no	—
350	C₄⋊C₄×C₁₃₉	—	4	2	no	—
351	C₄⋊C₄×C₁₃₉	—	4	2	no	—
352	C₄⋊C₄×C₁₃₉	—	4	2	no	—
353	C₄⋊C₄×C₁₃₉	—	4	2	no	—
354	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
355	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
356	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
357	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
358	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
359	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
360	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
361	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
362	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
363	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
364	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
365	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
366	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
367	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
368	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
369	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
370	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
371	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
372	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
373	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
374	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
375	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
376	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
377	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
378	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
379	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
380	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
381	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
382	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
383	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
384	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
385	C₄²×C₁₃₉	—	2	2	no	—
386	C₄²×C₁₃₉	—	2	2	no	—
387	C₄²×C₁₃₉	—	2	2	no	—
388	C₄²×C₁₃₉	—	2	2	no	—
389	C₄²×C₁₃₉	—	4	1	no	—
390	C₄²×C₁₃₉	—	4	1	no	—
391	C₄²×C₁₃₉	—	4	2	no	—
392	C₄²×C₁₃₉	#41	1	4	yes	—
393	C₂³×C₁₃₉	—	2	1	no	—
394	C₂³×C₁₃₉	—	2	1	no	—
395	C₂³×C₁₃₉	—	2	1	no	—
396	C₂³×C₁₃₉	—	2	1	no	—
397	C₂³×C₁₃₉	—	2	1	no	—
398	C₂³×C₁₃₉	—	2	1	no	—
399	C₂³×C₁₃₉	—	2	1	no	—
400	C₂³×C₁₃₉	—	2	2	no	—
401	C₂³×C₁₃₉	—	2	2	no	—
402	C₂³×C₁₃₉	—	2	2	no	—
403	C₂³×C₁₃₉	—	2	1	no	—
404	C₂³×C₁₃₉	—	2	2	no	—
405	C₂³×C₁₃₉	—	2	2	no	—
406	C₂³×C₁₃₉	—	2	1	no	—
407	C₂³×C₁₃₉	—	2	1	no	—
408	C₂³×C₁₃₉	—	2	2	no	—
409	C₂³×C₁₃₉	—	2	2	no	—
410	C₂³×C₁₃₉	—	2	2	no	—
411	C₂³×C₁₃₉	—	2	2	no	—
412	C₂³×C₁₃₉	—	2	2	no	—
413	C₂³×C₁₃₉	—	2	2	no	—
414	C₂³×C₁₃₉	—	2	2	no	—
415	C₂³×C₁₃₉	—	2	2	no	—
416	C₂³×C₁₃₉	—	2	2	no	—
417	C₂³×C₁₃₉	—	2	2	no	—
418	C₂³×C₁₃₉	—	2	2	no	—
419	C₂³×C₁₃₉	—	2	1	no	—
420	C₂³×C₁₃₉	—	2	2	no	—
421	C₂³×C₁₃₉	—	2	2	no	—
422	C₂³×C₁₃₉	—	2	1	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	H(5,𝔽₂)	1	2	yes	—
428	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
429	D₄×C₁₃₉	—	4	4	no	—
430	D₄×C₁₃₉	—	4	4	no	—
431	D₄×C₁₃₉	—	4	4	no	—
432	D₄×C₁₃₉	—	4	4	no	—
433	D₄×C₁₃₉	—	8	4	no	—
434	D₄×C₁₃₉	—	8	4	no	—
435	D₄×C₁₃₉	—	8	4	no	—
436	D₄×C₁₃₉	—	8	4	no	—
437	D₄×C₁₃₉	—	8	4	no	—
438	D₄×C₁₃₉	—	8	4	no	—
439	D₄×C₁₃₉	—	8	4	no	—
440	D₄×C₁₃₉	—	8	4	no	—
441	D₄×C₁₃₉	—	8	4	no	—
442	D₄×C₁₃₉	—	8	4	no	—
443	D₄×C₁₃₉	—	8	4	no	—
444	D₄×C₁₃₉	—	8	4	no	—
445	C₂×C₄×C₁₃₉	—	2	1	no	—
446	C₂×C₄×C₁₃₉	—	2	1	no	—
447	C₂×C₄×C₁₃₉	—	2	1	no	—
448	C₂×C₄×C₁₃₉	—	2	1	no	—
449	C₂×C₄×C₁₃₉	—	2	1	no	—
450	C₂×C₄×C₁₃₉	—	2	1	no	—
451	C₂×C₄×C₁₃₉	—	2	1	no	—
452	C₂×C₄×C₁₃₉	—	2	1	no	—
453	C₂×C₄×C₁₃₉	—	2	1	no	—
454	C₂×C₄×C₁₃₉	—	2	1	no	—
455	C₂×C₄×C₁₃₉	—	2	2	no	—
456	C₂×C₄×C₁₃₉	—	2	1	no	—
457	C₂×C₄×C₁₃₉	—	2	1	no	—
458	C₂×C₄×C₁₃₉	—	2	1	no	—
459	C₂×C₄×C₁₃₉	—	2	1	no	—
460	C₂×C₄×C₁₃₉	—	2	1	no	—
461	C₂×C₄×C₁₃₉	—	2	1	no	—
462	C₂×C₄×C₁₃₉	—	2	1	no	—
463	C₂×C₄×C₁₃₉	—	2	2	no	—
464	C₂×C₄×C₁₃₉	—	2	2	no	—
465	C₂×C₄×C₁₃₉	—	2	2	no	—
466	C₂×C₄×C₁₃₉	—	2	2	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	2	no	—
476	C₂×C₄×C₁₃₉	—	2	2	no	—
477	C₂×C₄×C₁₃₉	—	2	2	no	—
478	C₂×C₄×C₁₃₉	—	2	2	no	—
479	C₂×C₄×C₁₃₉	—	2	2	no	—
480	C₂×C₄×C₁₃₉	—	2	1	no	—
481	C₂×C₄×C₁₃₉	—	2	1	no	—
482	C₂×C₄×C₁₃₉	—	2	2	no	—
483	C₂×C₄×C₁₃₉	—	2	1	no	—
484	C₂×C₄×C₁₃₉	—	2	1	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	1	no	—
489	C₂×C₄×C₁₃₉	—	2	1	no	—
490	C₂×C₄×C₁₃₉	—	2	2	no	—
491	C₂×C₄×C₁₃₉	—	2	1	no	—
492	C₂×C₄×C₁₃₉	—	4	4	no	—
493	C₂×C₄×C₁₃₉	—	4	4	no	—
494	C₂×C₄×C₁₃₉	—	4	4	no	—
495	C₂×C₄×C₁₃₉	—	4	4	no	—
496	C₂×C₄×C₁₃₉	—	8	4	no	—
497	C₂×C₄×C₁₃₉	—	8	4	no	—
498	C₂×C₄×C₁₃₉	—	8	4	no	—
499	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
500	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
501	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
502	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
503	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
504	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
505	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
506	C₂²×C₁₃₉	—	2	2	no	—
507	C₂²×C₁₃₉	—	2	2	no	—
508	C₂²×C₁₃₉	—	2	2	no	—
509	C₂²×C₁₃₉	—	4	1	no	—
510	C₂²×C₁₃₉	—	4	1	no	—
511	C₂²×C₁₃₉	—	4	1	no	—
512	C₂²×C₁₃₉	—	4	1	no	—
513	C₂²×C₁₃₉	—	4	1	no	—
514	C₂²×C₁₃₉	—	4	2	no	—
515	C₂²×C₁₃₉	—	4	2	no	—
516	C₂²×C₁₃₉	—	4	2	no	—
517	C₂²×C₁₃₉	—	4	1	no	—
518	C₂²×C₁₃₉	—	4	2	no	—
519	C₂²×C₁₃₉	—	4	2	no	—
520	C₂²×C₁₃₉	—	4	2	no	—
521	C₂²×C₁₃₉	—	4	2	no	—
522	C₂²×C₁₃₉	—	4	2	no	—
523	C₂²×C₁₃₉	—	4	2	no	—
524	C₂²×C₁₃₉	—	4	1	no	—
525	C₂²×C₁₃₉	—	4	2	no	—
526	C₂²×C₁₃₉	—	4	2	no	—
527	C₂²×C₁₃₉	—	4	2	no	—
528	C₂²×C₁₃₉	—	4	1	no	—
529	C₂²×C₁₃₉	—	4	2	no	—
530	C₂²×C₁₃₉	—	4	2	no	—
531	C₂²×C₁₃₉	—	4	2	no	—
532	C₂²×C₁₃₉	—	4	1	no	—
533	C₂²×C₁₃₉	—	4	2	no	—
534	C₂²×C₁₃₉	—	4	1	no	—
535	C₂²×C₁₃₉	—	4	2	no	—
536	C₂²×C₁₃₉	—	4	2	no	—
537	C₂²×C₁₃₉	—	4	2	no	—
538	C₂²×C₁₃₉	—	4	1	no	—
539	C₂²×C₁₃₉	—	4	2	no	—
540	C₂²×C₁₃₉	—	4	2	no	—
541	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
542	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
543	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
544	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
545	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
546	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
547	C₂²×C₁₃₉	#585	1	1	yes	characteristic
548	C₄×C₁₃₉	—	2	2	no	—
549	C₄×C₁₃₉	—	2	2	no	—
550	C₄×C₁₃₉	—	2	2	no	—
551	C₄×C₁₃₉	—	2	2	no	—
552	C₄×C₁₃₉	—	4	1	no	—
553	C₄×C₁₃₉	—	4	1	no	—
554	C₄×C₁₃₉	—	4	2	no	—
555	C₄×C₁₃₉	—	4	1	no	—
556	C₄×C₁₃₉	—	4	1	no	—
557	C₄×C₁₃₉	—	4	2	no	—
558	C₄×C₁₃₉	—	4	1	no	—
559	C₄×C₁₃₉	—	4	1	no	—
560	C₄×C₁₃₉	—	4	1	no	—
561	C₄×C₁₃₉	—	4	2	no	—
562	C₄×C₁₃₉	—	4	2	no	—
563	C₄×C₁₃₉	—	4	1	no	—
564	C₄×C₁₃₉	—	4	2	no	—
565	C₄×C₁₃₉	#540	1	4	yes	—
566	C₂×C₁₃₉	—	4	2	no	—
567	C₂×C₁₃₉	—	8	1	no	—
568	C₂×C₁₃₉	—	8	2	no	—
569	C₂×C₁₃₉	—	8	2	no	—
570	C₂×C₁₃₉	—	8	2	no	—
571	C₂×C₁₃₉	C₂×#540	1	1	yes	characteristic
572	C₂×C₁₃₉	#3494	1	1	yes	characteristic
573	C₂×C₁₃₉	#3508	1	1	yes	characteristic
574	C₂×C₁₃₉	#3537	1	1	yes	characteristic
575	C₂×C₁₃₉	#3542	1	1	yes	characteristic
576	C₂×C₁₃₉	#3543	1	1	yes	characteristic
577	C₂×C₁₃₉	#3546	1	1	yes	characteristic
578	#37332	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
579	C₁₃₉	#37332	1	1	yes	characteristic, direct product factor, Sylow
580	#2856	C₂×C₁₃₉	1	1	yes	characteristic, complemented
581	#2854	C₂×C₁₃₉	1	1	yes	characteristic, complemented
582	#2797	C₂×C₁₃₉	1	2	yes	complemented
583	#2752	C₂×C₁₃₉	1	2	yes	complemented
584	#2703	C₂×C₁₃₉	1	2	yes	complemented
585	#2699	C₂×C₁₃₉	1	2	yes	complemented
586	#2688	C₂×C₁₃₉	1	2	yes	complemented
587	#2673	C₂×C₁₃₉	1	2	yes	complemented
588	#2673	C₂×C₁₃₉	1	2	yes	complemented
589	#2671	C₂×C₁₃₉	1	2	yes	complemented
590	#2624	C₂×C₁₃₉	1	1	yes	characteristic, complemented
591	#2619	C₂×C₁₃₉	1	1	yes	characteristic, complemented
592	#2570	C₂×C₁₃₉	1	1	yes	characteristic, complemented
593	#2541	C₂×C₁₃₉	1	1	yes	characteristic, complemented
594	#2541	C₂×C₁₃₉	1	1	yes	characteristic, complemented
595	#2535	C₂×C₁₃₉	1	1	yes	characteristic, complemented
596	#2428	C₂×C₁₃₉	1	1	yes	characteristic, complemented
597	#2428	C₂×C₁₃₉	1	1	yes	characteristic, complemented
598	#2422	C₂×C₁₃₉	1	1	yes	characteristic, complemented
599	#2420	C₂×C₁₃₉	1	1	yes	characteristic, complemented
600	#2328	C₂×C₁₃₉	1	1	yes	characteristic, complemented
601	#2319	C₂×C₁₃₉	1	1	yes	characteristic, complemented
602	#2290	C₂×C₁₃₉	1	1	yes	characteristic, complemented
603	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic
604	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic
605	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic
606	C₂×#127	C₂²×C₁₃₉	1	2	yes	—
607	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
608	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
609	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
610	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
611	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
612	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
613	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
614	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
615	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
616	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
617	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
618	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
619	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
620	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
621	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
622	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
623	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
624	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
625	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
626	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
627	#400	C₂²×C₁₃₉	1	2	yes	—
628	#399	C₂²×C₁₃₉	1	2	yes	—
629	#398	C₂²×C₁₃₉	1	2	yes	—
630	#397	C₂²×C₁₃₉	1	2	yes	—
631	#397	C₂²×C₁₃₉	1	2	yes	—
632	#397	C₂²×C₁₃₉	1	2	yes	—
633	#397	C₂²×C₁₃₉	1	2	yes	—
634	#394	C₂²×C₁₃₉	1	2	yes	—
635	#394	C₂²×C₁₃₉	1	2	yes	—
636	#394	C₂²×C₁₃₉	1	2	yes	—
637	#394	C₂²×C₁₃₉	1	2	yes	—
638	#394	C₂²×C₁₃₉	1	2	yes	—
639	#394	C₂²×C₁₃₉	1	2	yes	—
640	#394	C₂²×C₁₃₉	1	2	yes	—
641	#394	C₂²×C₁₃₉	1	2	yes	—
642	#392	C₂²×C₁₃₉	1	2	yes	—
643	#392	C₂²×C₁₃₉	1	2	yes	—
644	#392	C₂²×C₁₃₉	1	2	yes	—
645	#392	C₂²×C₁₃₉	1	2	yes	—
646	#392	C₂²×C₁₃₉	1	2	yes	—
647	#392	C₂²×C₁₃₉	1	2	yes	—
648	#392	C₂²×C₁₃₉	1	2	yes	—
649	#392	C₂²×C₁₃₉	1	2	yes	—
650	#392	C₂²×C₁₃₉	1	2	yes	—
651	#390	C₂²×C₁₃₉	1	1	yes	characteristic
652	#390	C₂²×C₁₃₉	1	1	yes	characteristic
653	#390	C₂²×C₁₃₉	1	1	yes	characteristic
654	#390	C₂²×C₁₃₉	1	1	yes	characteristic
655	#390	C₂²×C₁₃₉	1	1	yes	characteristic
656	#390	C₂²×C₁₃₉	1	2	yes	—
657	#390	C₂²×C₁₃₉	1	2	yes	—
658	#390	C₂²×C₁₃₉	1	1	yes	characteristic
659	#390	C₂²×C₁₃₉	1	2	yes	—
660	#389	C₂²×C₁₃₉	1	1	yes	characteristic
661	#389	C₂²×C₁₃₉	1	1	yes	characteristic
662	#389	C₂²×C₁₃₉	1	1	yes	characteristic
663	#389	C₂²×C₁₃₉	1	1	yes	characteristic
664	#388	C₂²×C₁₃₉	1	2	yes	—
665	#388	C₂²×C₁₃₉	1	2	yes	—
666	#388	C₂²×C₁₃₉	1	2	yes	—
667	#388	C₂²×C₁₃₉	1	2	yes	—
668	#388	C₂²×C₁₃₉	1	1	yes	characteristic
669	#388	C₂²×C₁₃₉	1	1	yes	characteristic
670	#387	C₂²×C₁₃₉	1	2	yes	—
671	#387	C₂²×C₁₃₉	1	2	yes	—
672	#387	C₂²×C₁₃₉	1	1	yes	characteristic
673	#387	C₂²×C₁₃₉	1	1	yes	characteristic
674	#386	C₂²×C₁₃₉	1	2	yes	—
675	#386	C₂²×C₁₃₉	1	2	yes	—
676	#386	C₂²×C₁₃₉	1	2	yes	—
677	#386	C₂²×C₁₃₉	1	2	yes	—
678	#386	C₂²×C₁₃₉	1	2	yes	—
679	#386	C₂²×C₁₃₉	1	2	yes	—
680	#386	C₂²×C₁₃₉	1	1	yes	characteristic
681	#386	C₂²×C₁₃₉	1	1	yes	characteristic
682	#386	C₂²×C₁₃₉	1	2	yes	—
683	#386	C₂²×C₁₃₉	1	2	yes	—
684	#386	C₂²×C₁₃₉	1	2	yes	—
685	#386	C₂²×C₁₃₉	1	2	yes	—
686	#385	C₂²×C₁₃₉	1	1	yes	characteristic
687	#385	C₂²×C₁₃₉	1	2	yes	—
688	#385	C₂²×C₁₃₉	1	1	yes	characteristic
689	#384	C₂²×C₁₃₉	1	1	yes	characteristic
690	#382	C₂²×C₁₃₉	1	1	yes	characteristic
691	#382	C₂²×C₁₃₉	1	1	yes	characteristic
692	#381	C₂²×C₁₃₉	1	2	yes	—
693	#381	C₂²×C₁₃₉	1	2	yes	—
694	#380	C₂²×C₁₃₉	1	2	yes	—
695	#380	C₂²×C₁₃₉	1	1	yes	characteristic
696	#380	C₂²×C₁₃₉	1	1	yes	characteristic
697	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
698	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
699	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
700	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
701	#376	C₂²×C₁₃₉	1	1	yes	characteristic
702	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
703	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
704	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
705	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
706	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
707	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
708	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
709	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
710	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
711	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
712	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
713	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
714	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
715	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
716	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
717	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
718	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
719	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
720	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
721	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
722	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
723	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
724	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
725	#127	—	2	4	no	—
726	#127	—	4	2	no	—
727	#127	—	4	2	no	—
728	#127	—	4	4	no	—
729	#123	—	4	4	no	—
730	#123	—	4	4	no	—
731	#121	—	4	4	no	—
732	#121	—	4	4	no	—
733	#121	—	4	4	no	—
734	#121	—	4	4	no	—
735	#121	—	4	2	no	—
736	#121	—	4	2	no	—
737	#121	—	4	2	no	—
738	#121	—	4	2	no	—
739	#121	—	4	2	no	—
740	#121	—	4	2	no	—
741	#121	—	4	4	no	—
742	#121	—	4	4	no	—
743	C₄×D₄	—	2	4	no	—
744	C₄×D₄	—	2	4	no	—
745	C₄×D₄	—	4	2	no	—
746	C₄×D₄	—	4	2	no	—
747	#117	—	4	2	no	—
748	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
749	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
750	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
751	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
752	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
753	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
754	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
755	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
756	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
757	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
758	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
759	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
760	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
761	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
762	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
763	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
764	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
765	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
766	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
767	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
768	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
769	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
770	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
771	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
772	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
773	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
774	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
775	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
776	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
777	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
778	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
779	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
780	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
781	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
782	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
783	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
784	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
785	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
786	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
787	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
788	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
789	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
790	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
791	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
792	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
793	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
794	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
795	C₂×C₄²	—	4	2	no	—
796	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
797	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
798	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
799	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
800	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
801	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
802	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
803	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
804	#95	C₂³×C₁₃₉	1	1	yes	characteristic
805	#95	C₂³×C₁₃₉	1	1	yes	characteristic
806	#95	C₂³×C₁₃₉	1	1	yes	characteristic
807	#95	C₂³×C₁₃₉	1	1	yes	characteristic
808	#95	C₂³×C₁₃₉	1	1	yes	characteristic
809	#95	C₂³×C₁₃₉	1	1	yes	characteristic
810	#95	C₂³×C₁₃₉	1	1	yes	characteristic
811	#95	C₂³×C₁₃₉	1	1	yes	characteristic
812	#95	C₂³×C₁₃₉	1	2	yes	—
813	#95	C₂³×C₁₃₉	1	1	yes	characteristic
814	#95	C₂³×C₁₃₉	1	1	yes	characteristic
815	#95	C₂³×C₁₃₉	1	2	yes	—
816	#95	C₂³×C₁₃₉	1	2	yes	—
817	#95	C₂³×C₁₃₉	1	2	yes	—
818	#95	C₂³×C₁₃₉	1	2	yes	—
819	#95	C₂³×C₁₃₉	1	2	yes	—
820	#95	C₂³×C₁₃₉	1	2	yes	—
821	#95	C₂³×C₁₃₉	1	2	yes	—
822	#95	C₂³×C₁₃₉	1	2	yes	—
823	#95	C₂³×C₁₃₉	1	2	yes	—
824	#95	C₂³×C₁₃₉	1	2	yes	—
825	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
826	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
827	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
828	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
829	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
830	C₂×D₄	—	2	2	no	—
831	C₂×D₄	—	2	4	no	—
832	C₂×D₄	—	2	4	no	—
833	C₂×D₄	—	2	4	no	—
834	C₂×D₄	—	2	2	no	—
835	C₂×D₄	—	2	2	no	—
836	C₂×D₄	—	2	2	no	—
837	C₂×D₄	—	2	2	no	—
838	C₂×D₄	—	2	4	no	—
839	C₂×D₄	—	2	4	no	—
840	C₂×D₄	—	2	2	no	—
841	C₂×D₄	—	2	2	no	—
842	C₂×D₄	—	2	2	no	—
843	C₂×D₄	—	2	2	no	—
844	C₂×D₄	—	2	2	no	—
845	C₂×D₄	—	2	2	no	—
846	C₂×D₄	—	2	4	no	—
847	C₂×D₄	—	2	4	no	—
848	C₂×D₄	—	4	1	no	—
849	C₂×D₄	—	4	2	no	—
850	C₂×D₄	—	4	2	no	—
851	C₂×D₄	—	4	2	no	—
852	C₂×D₄	—	4	2	no	—
853	C₂×D₄	—	4	2	no	—
854	C₂×D₄	—	4	2	no	—
855	C₂×D₄	—	4	2	no	—
856	C₂×D₄	—	4	2	no	—
857	C₂×D₄	—	4	2	no	—
858	C₂×D₄	—	4	2	no	—
859	C₂×D₄	—	4	2	no	—
860	C₂×D₄	—	4	2	no	—
861	C₂×D₄	—	4	2	no	—
862	C₂×D₄	—	4	2	no	—
863	C₂×D₄	—	4	2	no	—
864	C₂×D₄	—	4	2	no	—
865	C₂×D₄	—	4	2	no	—
866	C₂×D₄	—	4	2	no	—
867	C₂×D₄	—	4	2	no	—
868	C₂×D₄	—	4	2	no	—
869	C₂×D₄	—	4	2	no	—
870	C₂×D₄	—	4	2	no	—
871	C₂×D₄	—	4	2	no	—
872	C₂×D₄	—	4	2	no	—
873	C₂×D₄	—	4	2	no	—
874	C₂×D₄	—	4	2	no	—
875	C₂×D₄	—	4	2	no	—
876	C₂×D₄	—	4	2	no	—
877	C₂×D₄	—	4	2	no	—
878	C₂²×C₄	—	2	2	no	—
879	C₂²×C₄	—	2	2	no	—
880	C₂²×C₄	—	2	2	no	—
881	C₂²×C₄	—	2	2	no	—
882	C₂²×C₄	—	2	2	no	—
883	C₂²×C₄	—	2	2	no	—
884	C₂²×C₄	—	2	2	no	—
885	C₂²×C₄	—	2	2	no	—
886	C₂²×C₄	—	2	2	no	—
887	C₂²×C₄	—	2	4	no	—
888	C₂²×C₄	—	4	1	no	—
889	C₂²×C₄	—	4	1	no	—
890	C₂²×C₄	—	4	1	no	—
891	C₂²×C₄	—	4	2	no	—
892	C₂²×C₄	—	4	2	no	—
893	C₂²×C₄	—	4	2	no	—
894	C₂²×C₄	—	4	2	no	—
895	C₂²×C₄	—	4	2	no	—
896	C₂²×C₄	—	4	2	no	—
897	C₂²×C₄	—	4	2	no	—
898	C₂²×C₄	—	4	2	no	—
899	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
900	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
901	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
902	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
903	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
904	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
905	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
906	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
907	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
908	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
909	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
910	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
911	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
912	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
913	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
914	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
915	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
916	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
917	C₄⋊C₄	—	2	2	no	—
918	C₄⋊C₄	—	2	2	no	—
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	—	2	2	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	2	no	—
923	C₄⋊C₄	—	2	2	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	4	no	—
926	C₄⋊C₄	—	2	4	no	—
927	C₄⋊C₄	—	4	1	no	—
928	C₄⋊C₄	—	4	1	no	—
929	C₄⋊C₄	—	4	2	no	—
930	C₄⋊C₄	—	4	2	no	—
931	C₄⋊C₄	—	4	2	no	—
932	C₄⋊C₄	—	4	2	no	—
933	C₂²⋊C₄	—	2	2	no	—
934	C₂²⋊C₄	—	2	4	no	—
935	C₂²⋊C₄	—	2	2	no	—
936	C₂²⋊C₄	—	2	2	no	—
937	C₂²⋊C₄	—	2	2	no	—
938	C₂²⋊C₄	—	2	4	no	—
939	C₂²⋊C₄	—	2	4	no	—
940	C₂²⋊C₄	—	2	2	no	—
941	C₂²⋊C₄	—	4	2	no	—
942	C₂²⋊C₄	—	4	1	no	—
943	C₂²⋊C₄	—	4	1	no	—
944	C₂²⋊C₄	—	4	1	no	—
945	C₂²⋊C₄	—	4	2	no	—
946	C₂²⋊C₄	—	4	2	no	—
947	C₂²⋊C₄	—	4	2	no	—
948	C₂²⋊C₄	—	4	2	no	—
949	C₂²⋊C₄	—	4	2	no	—
950	C₂²⋊C₄	—	4	2	no	—
951	C₂²⋊C₄	—	4	2	no	—
952	C₂²⋊C₄	—	4	2	no	—
953	C₂²⋊C₄	—	4	2	no	—
954	C₂²⋊C₄	—	4	2	no	—
955	C₂²⋊C₄	—	4	2	no	—
956	C₂²⋊C₄	—	4	2	no	—
957	C₂²⋊C₄	—	4	2	no	—
958	C₂²⋊C₄	—	4	2	no	—
959	C₂²⋊C₄	—	4	2	no	—
960	C₂²⋊C₄	—	4	2	no	—
961	C₂²⋊C₄	—	4	2	no	—
962	C₂²⋊C₄	—	4	2	no	—
963	C₂²⋊C₄	—	4	2	no	—
964	C₄²	—	2	2	no	—
965	C₄²	—	2	2	no	—
966	C₄²	—	2	2	no	—
967	C₄²	—	2	2	no	—
968	C₄²	—	4	1	no	—
969	C₄²	—	4	1	no	—
970	C₄²	—	4	2	no	—
971	C₄²	#41×C₁₃₉	1	4	yes	—
972	C₂³	—	2	1	no	—
973	C₂³	—	2	1	no	—
974	C₂³	—	2	1	no	—
975	C₂³	—	2	1	no	—
976	C₂³	—	2	1	no	—
977	C₂³	—	2	1	no	—
978	C₂³	—	2	1	no	—
979	C₂³	—	2	2	no	—
980	C₂³	—	2	2	no	—
981	C₂³	—	2	2	no	—
982	C₂³	—	2	1	no	—
983	C₂³	—	2	2	no	—
984	C₂³	—	2	2	no	—
985	C₂³	—	2	1	no	—
986	C₂³	—	2	1	no	—
987	C₂³	—	2	2	no	—
988	C₂³	—	2	2	no	—
989	C₂³	—	2	2	no	—
990	C₂³	—	2	2	no	—
991	C₂³	—	2	2	no	—
992	C₂³	—	2	2	no	—
993	C₂³	—	2	2	no	—
994	C₂³	—	2	2	no	—
995	C₂³	—	2	2	no	—
996	C₂³	—	2	2	no	—
997	C₂³	—	2	2	no	—
998	C₂³	—	2	1	no	—
999	C₂³	—	2	2	no	—
1000	C₂³	—	2	2	no	—
1001	C₂³	—	2	1	no	—
1002	C₂³	—	2	2	no	—
1003	C₂³	—	2	2	no	—
1004	C₂³	—	2	2	no	—
1005	C₂³	—	2	1	no	—
1006	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1007	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1008	D₄	—	4	4	no	—
1009	D₄	—	4	4	no	—
1010	D₄	—	4	4	no	—
1011	D₄	—	4	4	no	—
1012	D₄	—	8	4	no	—
1013	D₄	—	8	4	no	—
1014	D₄	—	8	4	no	—
1015	D₄	—	8	4	no	—
1016	D₄	—	8	4	no	—
1017	D₄	—	8	4	no	—
1018	D₄	—	8	4	no	—
1019	D₄	—	8	4	no	—
1020	D₄	—	8	4	no	—
1021	D₄	—	8	4	no	—
1022	D₄	—	8	4	no	—
1023	D₄	—	8	4	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	1	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	2	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	4	4	no	—
1072	C₂×C₄	—	4	4	no	—
1073	C₂×C₄	—	4	4	no	—
1074	C₂×C₄	—	4	4	no	—
1075	C₂×C₄	—	8	4	no	—
1076	C₂×C₄	—	8	4	no	—
1077	C₂×C₄	—	8	4	no	—
1078	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1079	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1080	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1081	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1082	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1083	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1084	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1085	C₂²	—	2	2	no	—
1086	C₂²	—	2	2	no	—
1087	C₂²	—	2	2	no	—
1088	C₂²	—	4	1	no	—
1089	C₂²	—	4	1	no	—
1090	C₂²	—	4	1	no	—
1091	C₂²	—	4	1	no	—
1092	C₂²	—	4	2	no	—
1093	C₂²	—	4	2	no	—
1094	C₂²	—	4	2	no	—
1095	C₂²	—	4	1	no	—
1096	C₂²	—	4	2	no	—
1097	C₂²	—	4	2	no	—
1098	C₂²	—	4	2	no	—
1099	C₂²	—	4	1	no	—
1100	C₂²	—	4	2	no	—
1101	C₂²	—	4	1	no	—
1102	C₂²	—	4	2	no	—
1103	C₂²	—	4	2	no	—
1104	C₂²	—	4	2	no	—
1105	C₂²	—	4	1	no	—
1106	C₂²	—	4	2	no	—
1107	C₂²	—	4	2	no	—
1108	C₂²	—	4	1	no	—
1109	C₂²	—	4	2	no	—
1110	C₂²	—	4	2	no	—
1111	C₂²	—	4	2	no	—
1112	C₂²	—	4	1	no	—
1113	C₂²	—	4	2	no	—
1114	C₂²	—	4	2	no	—
1115	C₂²	—	4	2	no	—
1116	C₂²	—	4	2	no	—
1117	C₂²	—	4	2	no	—
1118	C₂²	—	4	2	no	—
1119	C₂²	—	4	1	no	—
1120	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1121	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1122	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1123	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1124	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1125	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1126	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1127	C₄	—	2	2	no	—
1128	C₄	—	2	2	no	—
1129	C₄	—	2	2	no	—
1130	C₄	—	2	2	no	—
1131	C₄	—	4	1	no	—
1132	C₄	—	4	1	no	—
1133	C₄	—	4	2	no	—
1134	C₄	—	4	1	no	—
1135	C₄	—	4	1	no	—
1136	C₄	—	4	1	no	—
1137	C₄	—	4	2	no	—
1138	C₄	—	4	2	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	4	2	no	—
1141	C₄	—	4	1	no	—
1142	C₄	—	4	1	no	—
1143	C₄	—	4	2	no	—
1144	C₄	#540×C₁₃₉	1	4	yes	—
1145	C₂	—	4	2	no	—
1146	C₂	—	8	2	no	—
1147	C₂	—	8	2	no	—
1148	C₂	—	8	2	no	—
1149	C₂	—	8	1	no	—
1150	C₂	C₂×#540×C₁₃₉	1	1	yes	characteristic
1151	C₂	#3494×C₁₃₉	1	1	yes	characteristic
1152	C₂	#3508×C₁₃₉	1	1	yes	characteristic
1153	C₂	#3537×C₁₃₉	1	1	yes	characteristic
1154	C₂	#3542×C₁₃₉	1	1	yes	characteristic
1155	C₂	#3543×C₁₃₉	1	1	yes	characteristic
1156	C₂	#3546×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. #2856×C₁₃₉	C₂	semidirect
2. #2854×C₁₃₉	C₂	semidirect
3. #2797×C₁₃₉	C₂	semidirect
4. #2752×C₁₃₉	C₂	semidirect
5. #2703×C₁₃₉	C₂	semidirect
6. #2699×C₁₃₉	C₂	semidirect
7. #2688×C₁₃₉	C₂	semidirect
8. #2673×C₁₃₉	C₂	semidirect
9. #2673×C₁₃₉	C₂	semidirect
10. #2671×C₁₃₉	C₂	semidirect
11. #2624×C₁₃₉	C₂	semidirect
12. #2619×C₁₃₉	C₂	semidirect
13. #2570×C₁₃₉	C₂	semidirect
14. #2541×C₁₃₉	C₂	semidirect
15. #2541×C₁₃₉	C₂	semidirect
16. #2535×C₁₃₉	C₂	semidirect
17. #2428×C₁₃₉	C₂	semidirect
18. #2428×C₁₃₉	C₂	semidirect
19. #2422×C₁₃₉	C₂	semidirect
20. #2420×C₁₃₉	C₂	semidirect
21. #2328×C₁₃₉	C₂	semidirect
22. #2319×C₁₃₉	C₂	semidirect
23. #2290×C₁₃₉	C₂	semidirect
578. #37332	C₁₃₉	direct (N × H)
579. C₁₃₉	#37332	direct (N × H)
580. #2856	C₂×C₁₃₉	semidirect
581. #2854	C₂×C₁₃₉	semidirect
582. #2797	C₂×C₁₃₉	semidirect
583. #2752	C₂×C₁₃₉	semidirect
584. #2703	C₂×C₁₃₉	semidirect
585. #2699	C₂×C₁₃₉	semidirect
586. #2688	C₂×C₁₃₉	semidirect
587. #2673	C₂×C₁₃₉	semidirect
588. #2673	C₂×C₁₃₉	semidirect
589. #2671	C₂×C₁₃₉	semidirect
590. #2624	C₂×C₁₃₉	semidirect
591. #2619	C₂×C₁₃₉	semidirect
592. #2570	C₂×C₁₃₉	semidirect
593. #2541	C₂×C₁₃₉	semidirect
594. #2541	C₂×C₁₃₉	semidirect
595. #2535	C₂×C₁₃₉	semidirect
596. #2428	C₂×C₁₃₉	semidirect
597. #2428	C₂×C₁₃₉	semidirect
598. #2422	C₂×C₁₃₉	semidirect
599. #2420	C₂×C₁₃₉	semidirect
600. #2328	C₂×C₁₃₉	semidirect
601. #2319	C₂×C₁₃₉	semidirect
602. #2290	C₂×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
#2856×C₁₃₉	2
#2854×C₁₃₉	2
#2797×C₁₃₉	2
#2752×C₁₃₉	2
#2703×C₁₃₉	2
#2699×C₁₃₉	2
#2688×C₁₃₉	2
#2673×C₁₃₉	2
#2671×C₁₃₉	2
#2624×C₁₃₉	2
#2619×C₁₃₉	2
#2570×C₁₃₉	2
#2541×C₁₃₉	2
#2535×C₁₃₉	2
#2428×C₁₃₉	2
#2422×C₁₃₉	2
#2420×C₁₃₉	2
#2328×C₁₃₉	2
#2319×C₁₃₉	2
#2290×C₁₃₉	2
#37332	139

Subgroups — C139×#37332 #48031928

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#37332 #48031928