Subgroups — C₁₃₉×#37331 #48031927

Order 35584.

2208 conjugacy classes of subgroups.

The subgroup lattice has 1166 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	#2803×C₁₃₉	C₂	1	2	yes	maximal, complemented
4	#2797×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2714×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2697×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2685×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2682×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2678×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2668×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2644×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2641×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2512×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2490×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2445×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2441×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2433×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2428×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2414×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#2408×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2324×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	#2309×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	#2290×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂³×D₄×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×#126×C₁₃₉	C₂²	1	2	yes	complemented
28	C₂×#125×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
29	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
30	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
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	2	yes	complemented
35	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
36	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
37	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
38	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
39	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
40	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
41	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
43	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
44	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
45	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
46	#399×C₁₃₉	C₂²	1	2	yes	—
47	#397×C₁₃₉	C₂²	1	2	yes	complemented
48	#397×C₁₃₉	C₂²	1	2	yes	complemented
49	#397×C₁₃₉	C₂²	1	2	yes	complemented
50	#397×C₁₃₉	C₂²	1	2	yes	complemented
51	#397×C₁₃₉	C₂²	1	2	yes	complemented
52	#396×C₁₃₉	C₂²	1	2	yes	—
53	#396×C₁₃₉	C₂²	1	2	yes	complemented
54	#396×C₁₃₉	C₂²	1	2	yes	complemented
55	#394×C₁₃₉	C₂²	1	2	yes	—
56	#394×C₁₃₉	C₂²	1	2	yes	—
57	#394×C₁₃₉	C₂²	1	2	yes	complemented
58	#394×C₁₃₉	C₂²	1	2	yes	complemented
59	#394×C₁₃₉	C₂²	1	2	yes	complemented
60	#394×C₁₃₉	C₂²	1	2	yes	complemented
61	#394×C₁₃₉	C₂²	1	2	yes	complemented
62	#394×C₁₃₉	C₂²	1	2	yes	complemented
63	#394×C₁₃₉	C₂²	1	2	yes	complemented
64	#394×C₁₃₉	C₂²	1	2	yes	complemented
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	complemented
70	#390×C₁₃₉	C₂²	1	1	yes	characteristic
71	#390×C₁₃₉	C₂²	1	1	yes	characteristic
72	#390×C₁₃₉	C₂²	1	1	yes	characteristic
73	#390×C₁₃₉	C₂²	1	2	yes	—
74	#390×C₁₃₉	C₂²	1	2	yes	—
75	#390×C₁₃₉	C₂²	1	1	yes	characteristic
76	#390×C₁₃₉	C₂²	1	1	yes	characteristic
77	#390×C₁₃₉	C₂²	1	1	yes	characteristic
78	#390×C₁₃₉	C₂²	1	2	yes	—
79	#390×C₁₃₉	C₂²	1	1	yes	characteristic
80	#390×C₁₃₉	C₂²	1	1	yes	characteristic
81	#390×C₁₃₉	C₂²	1	2	yes	complemented
82	#390×C₁₃₉	C₂²	1	2	yes	complemented
83	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
84	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
85	#390×C₁₃₉	C₂²	1	2	yes	complemented
86	#390×C₁₃₉	C₂²	1	2	yes	complemented
87	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
88	#389×C₁₃₉	C₂²	1	2	yes	complemented
89	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
90	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
91	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
92	#388×C₁₃₉	C₂²	1	1	yes	characteristic
93	#388×C₁₃₉	C₂²	1	1	yes	characteristic
94	#388×C₁₃₉	C₂²	1	2	yes	complemented
95	#388×C₁₃₉	C₂²	1	2	yes	complemented
96	#388×C₁₃₉	C₂²	1	2	yes	complemented
97	#388×C₁₃₉	C₂²	1	2	yes	complemented
98	#388×C₁₃₉	C₂²	1	2	yes	complemented
99	#388×C₁₃₉	C₂²	1	2	yes	complemented
100	#387×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
101	#387×C₁₃₉	C₂²	1	2	yes	complemented
102	#387×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
103	#386×C₁₃₉	C₂²	1	1	yes	characteristic
104	#386×C₁₃₉	C₂²	1	1	yes	characteristic
105	#386×C₁₃₉	C₂²	1	2	yes	—
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	#385×C₁₃₉	C₂²	1	2	yes	complemented
110	#385×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
111	#385×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
112	#384×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
113	#380×C₁₃₉	C₂²	1	1	yes	characteristic
114	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
115	#379×C₁₃₉	C₂²	1	2	yes	—
116	#379×C₁₃₉	C₂²	1	2	yes	—
117	#379×C₁₃₉	C₂²	1	2	yes	—
118	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
121	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
122	#376×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
123	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
124	C₂²×D₄×C₁₃₉	—	2	4	no	—
125	C₂²×D₄×C₁₃₉	—	4	2	no	—
126	C₂²×D₄×C₁₃₉	—	4	2	no	—
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	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
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	#127×C₁₃₉	—	4	2	no	—
146	#127×C₁₃₉	—	4	2	no	—
147	#126×C₁₃₉	—	4	4	no	—
148	#125×C₁₃₉	—	4	2	no	—
149	#123×C₁₃₉	—	4	4	no	—
150	#123×C₁₃₉	—	4	4	no	—
151	#121×C₁₃₉	—	2	4	no	—
152	#121×C₁₃₉	—	4	4	no	—
153	#121×C₁₃₉	—	4	2	no	—
154	#121×C₁₃₉	—	4	2	no	—
155	#121×C₁₃₉	—	4	2	no	—
156	#121×C₁₃₉	—	4	4	no	—
157	#121×C₁₃₉	—	4	4	no	—
158	#120×C₁₃₉	—	4	4	no	—
159	#120×C₁₃₉	—	4	4	no	—
160	#120×C₁₃₉	—	4	4	no	—
161	C₄×D₄×C₁₃₉	—	2	4	no	—
162	C₄×D₄×C₁₃₉	—	4	2	no	—
163	#117×C₁₃₉	—	4	2	no	—
164	#117×C₁₃₉	—	4	2	no	—
165	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
166	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
167	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
168	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
169	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
170	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
171	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
172	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
176	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
177	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
178	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
179	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
180	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
182	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
183	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
184	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
185	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
186	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
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	2	yes	—
193	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
196	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
197	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
198	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	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	2	yes	—
215	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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×C₄²×C₁₃₉	—	4	2	no	—
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	1	yes	characteristic
224	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
225	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
228	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
229	#95×C₁₃₉	C₂³	1	2	yes	—
230	#95×C₁₃₉	C₂³	1	1	yes	characteristic
231	#95×C₁₃₉	C₂³	1	2	yes	—
232	#95×C₁₃₉	C₂³	1	2	yes	—
233	#95×C₁₃₉	C₂³	1	1	yes	characteristic
234	#95×C₁₃₉	C₂³	1	1	yes	characteristic
235	#95×C₁₃₉	C₂³	1	1	yes	characteristic
236	#95×C₁₃₉	C₂³	1	1	yes	characteristic
237	#95×C₁₃₉	C₂³	1	1	yes	characteristic
238	#95×C₁₃₉	C₂³	1	2	yes	—
239	#95×C₁₃₉	C₂³	1	2	yes	—
240	#95×C₁₃₉	C₂³	1	2	yes	—
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	2	yes	—
246	C₂⁴×C₁₃₉	—	2	4	no	—
247	C₂⁴×C₁₃₉	—	4	2	no	—
248	C₂⁴×C₁₃₉	—	4	2	no	—
249	C₂⁴×C₁₃₉	—	4	2	no	—
250	C₂⁴×C₁₃₉	—	4	2	no	—
251	C₂⁴×C₁₃₉	—	4	2	no	—
252	C₂⁴×C₁₃₉	—	4	2	no	—
253	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
254	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
255	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
256	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
257	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
258	C₂×D₄×C₁₃₉	—	2	2	no	—
259	C₂×D₄×C₁₃₉	—	2	2	no	—
260	C₂×D₄×C₁₃₉	—	2	4	no	—
261	C₂×D₄×C₁₃₉	—	2	4	no	—
262	C₂×D₄×C₁₃₉	—	2	4	no	—
263	C₂×D₄×C₁₃₉	—	2	4	no	—
264	C₂×D₄×C₁₃₉	—	2	2	no	—
265	C₂×D₄×C₁₃₉	—	2	4	no	—
266	C₂×D₄×C₁₃₉	—	2	2	no	—
267	C₂×D₄×C₁₃₉	—	2	2	no	—
268	C₂×D₄×C₁₃₉	—	2	2	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	2	no	—
274	C₂×D₄×C₁₃₉	—	2	4	no	—
275	C₂×D₄×C₁₃₉	—	2	4	no	—
276	C₂×D₄×C₁₃₉	—	4	2	no	—
277	C₂×D₄×C₁₃₉	—	4	2	no	—
278	C₂×D₄×C₁₃₉	—	4	1	no	—
279	C₂×D₄×C₁₃₉	—	4	16	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	C₂²×C₄×C₁₃₉	—	2	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	—	4	1	no	—
307	C₂²×C₄×C₁₃₉	—	4	1	no	—
308	C₂²×C₄×C₁₃₉	—	4	1	no	—
309	C₂²×C₄×C₁₃₉	—	4	2	no	—
310	C₂²×C₄×C₁₃₉	—	4	2	no	—
311	C₂²×C₄×C₁₃₉	—	4	2	no	—
312	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
313	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
314	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
315	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
316	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
317	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
318	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
319	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
320	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
321	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
322	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
323	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
324	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
325	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
326	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
327	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
330	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
331	C₄⋊C₄×C₁₃₉	—	2	2	no	—
332	C₄⋊C₄×C₁₃₉	—	2	2	no	—
333	C₄⋊C₄×C₁₃₉	—	2	2	no	—
334	C₄⋊C₄×C₁₃₉	—	2	2	no	—
335	C₄⋊C₄×C₁₃₉	—	2	2	no	—
336	C₄⋊C₄×C₁₃₉	—	2	2	no	—
337	C₄⋊C₄×C₁₃₉	—	2	4	no	—
338	C₄⋊C₄×C₁₃₉	—	2	2	no	—
339	C₄⋊C₄×C₁₃₉	—	2	4	no	—
340	C₄⋊C₄×C₁₃₉	—	2	2	no	—
341	C₄⋊C₄×C₁₃₉	—	4	1	no	—
342	C₄⋊C₄×C₁₃₉	—	4	1	no	—
343	C₄⋊C₄×C₁₃₉	—	4	2	no	—
344	C₄⋊C₄×C₁₃₉	—	4	2	no	—
345	C₄⋊C₄×C₁₃₉	—	4	2	no	—
346	C₄⋊C₄×C₁₃₉	—	4	2	no	—
347	C₄⋊C₄×C₁₃₉	—	4	2	no	—
348	C₄⋊C₄×C₁₃₉	—	4	2	no	—
349	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
350	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
351	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
352	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
353	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
354	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
355	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
356	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
357	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
358	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
359	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
360	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
361	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
362	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
363	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
364	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
365	C₂²⋊C₄×C₁₃₉	—	4	2	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	—	2	2	no	—
390	C₄²×C₁₃₉	—	4	1	no	—
391	C₄²×C₁₃₉	—	4	1	no	—
392	C₄²×C₁₃₉	—	4	2	no	—
393	C₄²×C₁₃₉	—	4	2	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	1	no	—
401	C₂³×C₁₃₉	—	2	1	no	—
402	C₂³×C₁₃₉	—	2	1	no	—
403	C₂³×C₁₃₉	—	2	1	no	—
404	C₂³×C₁₃₉	—	2	1	no	—
405	C₂³×C₁₃₉	—	2	1	no	—
406	C₂³×C₁₃₉	—	2	2	no	—
407	C₂³×C₁₃₉	—	2	2	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	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	2	no	—
426	C₂³×C₁₃₉	—	2	2	no	—
427	C₂³×C₁₃₉	—	4	8	no	—
428	C₂³×C₁₃₉	—	8	4	no	—
429	C₂³×C₁₃₉	—	8	4	no	—
430	C₂³×C₁₃₉	—	8	4	no	—
431	C₂³×C₁₃₉	—	8	4	no	—
432	C₂³×C₁₃₉	—	8	4	no	—
433	C₂³×C₁₃₉	—	8	4	no	—
434	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
435	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
436	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
437	D₄×C₁₃₉	—	4	8	no	—
438	D₄×C₁₃₉	—	4	4	no	—
439	D₄×C₁₃₉	—	4	4	no	—
440	D₄×C₁₃₉	—	4	4	no	—
441	D₄×C₁₃₉	—	4	4	no	—
442	D₄×C₁₃₉	—	8	4	no	—
443	D₄×C₁₃₉	—	8	4	no	—
444	D₄×C₁₃₉	—	8	4	no	—
445	D₄×C₁₃₉	—	8	4	no	—
446	D₄×C₁₃₉	—	8	4	no	—
447	D₄×C₁₃₉	—	8	4	no	—
448	D₄×C₁₃₉	—	8	4	no	—
449	D₄×C₁₃₉	—	8	4	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	1	no	—
456	C₂×C₄×C₁₃₉	—	2	8	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	2	no	—
461	C₂×C₄×C₁₃₉	—	2	1	no	—
462	C₂×C₄×C₁₃₉	—	2	1	no	—
463	C₂×C₄×C₁₃₉	—	2	1	no	—
464	C₂×C₄×C₁₃₉	—	2	1	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	2	no	—
470	C₂×C₄×C₁₃₉	—	2	2	no	—
471	C₂×C₄×C₁₃₉	—	2	2	no	—
472	C₂×C₄×C₁₃₉	—	2	2	no	—
473	C₂×C₄×C₁₃₉	—	2	2	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	1	no	—
478	C₂×C₄×C₁₃₉	—	2	1	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	1	no	—
483	C₂×C₄×C₁₃₉	—	2	1	no	—
484	C₂×C₄×C₁₃₉	—	2	2	no	—
485	C₂×C₄×C₁₃₉	—	2	1	no	—
486	C₂×C₄×C₁₃₉	—	2	2	no	—
487	C₂×C₄×C₁₃₉	—	2	1	no	—
488	C₂×C₄×C₁₃₉	—	2	2	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	2	no	—
493	C₂×C₄×C₁₃₉	—	2	2	no	—
494	C₂×C₄×C₁₃₉	—	2	1	no	—
495	C₂×C₄×C₁₃₉	—	2	2	no	—
496	C₂×C₄×C₁₃₉	—	2	1	no	—
497	C₂×C₄×C₁₃₉	—	2	1	no	—
498	C₂×C₄×C₁₃₉	—	2	1	no	—
499	C₂×C₄×C₁₃₉	—	4	4	no	—
500	C₂×C₄×C₁₃₉	—	4	4	no	—
501	C₂×C₄×C₁₃₉	—	4	4	no	—
502	C₂×C₄×C₁₃₉	—	8	4	no	—
503	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
504	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
505	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
506	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
507	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
508	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
509	C₂²×C₁₃₉	—	2	2	no	—
510	C₂²×C₁₃₉	—	2	2	no	—
511	C₂²×C₁₃₉	—	2	2	no	—
512	C₂²×C₁₃₉	—	2	2	no	—
513	C₂²×C₁₃₉	—	2	2	no	—
514	C₂²×C₁₃₉	—	2	2	no	—
515	C₂²×C₁₃₉	—	4	1	no	—
516	C₂²×C₁₃₉	—	4	1	no	—
517	C₂²×C₁₃₉	—	4	1	no	—
518	C₂²×C₁₃₉	—	4	1	no	—
519	C₂²×C₁₃₉	—	4	1	no	—
520	C₂²×C₁₃₉	—	4	1	no	—
521	C₂²×C₁₃₉	—	4	1	no	—
522	C₂²×C₁₃₉	—	4	1	no	—
523	C₂²×C₁₃₉	—	4	2	no	—
524	C₂²×C₁₃₉	—	4	2	no	—
525	C₂²×C₁₃₉	—	4	2	no	—
526	C₂²×C₁₃₉	—	4	2	no	—
527	C₂²×C₁₃₉	—	4	2	no	—
528	C₂²×C₁₃₉	—	4	2	no	—
529	C₂²×C₁₃₉	—	4	2	no	—
530	C₂²×C₁₃₉	—	4	2	no	—
531	C₂²×C₁₃₉	—	4	2	no	—
532	C₂²×C₁₃₉	—	4	2	no	—
533	C₂²×C₁₃₉	—	4	2	no	—
534	C₂²×C₁₃₉	—	4	2	no	—
535	C₂²×C₁₃₉	—	4	2	no	—
536	C₂²×C₁₃₉	—	4	2	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	2	no	—
544	C₂²×C₁₃₉	—	8	16	no	—
545	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
546	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
547	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
548	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
549	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
550	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
551	C₂²×C₁₃₉	#585	1	1	yes	characteristic
552	C₄×C₁₃₉	—	2	2	no	—
553	C₄×C₁₃₉	—	2	2	no	—
554	C₄×C₁₃₉	—	2	2	no	—
555	C₄×C₁₃₉	—	4	1	no	—
556	C₄×C₁₃₉	—	4	1	no	—
557	C₄×C₁₃₉	—	4	1	no	—
558	C₄×C₁₃₉	—	4	2	no	—
559	C₄×C₁₃₉	—	4	1	no	—
560	C₄×C₁₃₉	—	4	1	no	—
561	C₄×C₁₃₉	—	4	2	no	—
562	C₄×C₁₃₉	—	4	1	no	—
563	C₄×C₁₃₉	—	4	1	no	—
564	C₄×C₁₃₉	—	4	2	no	—
565	C₄×C₁₃₉	—	4	2	no	—
566	C₄×C₁₃₉	—	4	1	no	—
567	C₄×C₁₃₉	—	4	2	no	—
568	C₄×C₁₃₉	—	4	1	no	—
569	C₄×C₁₃₉	#538	1	4	yes	—
570	C₂×C₁₃₉	—	4	2	no	—
571	C₂×C₁₃₉	—	4	2	no	—
572	C₂×C₁₃₉	—	8	2	no	—
573	C₂×C₁₃₉	—	8	2	no	—
574	C₂×C₁₃₉	—	8	2	no	—
575	C₂×C₁₃₉	C₂×#538	1	1	yes	characteristic
576	C₂×C₁₃₉	#3494	1	1	yes	characteristic
577	C₂×C₁₃₉	#3508	1	1	yes	characteristic
578	C₂×C₁₃₉	#3537	1	1	yes	characteristic
579	C₂×C₁₃₉	#3542	1	1	yes	characteristic
580	C₂×C₁₃₉	#3543	1	1	yes	characteristic
581	C₂×C₁₃₉	#3546	1	1	yes	characteristic
582	#37331	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
583	C₁₃₉	#37331	1	1	yes	characteristic, direct product factor, Sylow
584	#2856	C₂×C₁₃₉	1	1	yes	characteristic, complemented
585	#2854	C₂×C₁₃₉	1	1	yes	characteristic, complemented
586	#2803	C₂×C₁₃₉	1	2	yes	complemented
587	#2797	C₂×C₁₃₉	1	2	yes	complemented
588	#2714	C₂×C₁₃₉	1	2	yes	complemented
589	#2697	C₂×C₁₃₉	1	2	yes	complemented
590	#2685	C₂×C₁₃₉	1	2	yes	complemented
591	#2682	C₂×C₁₃₉	1	2	yes	complemented
592	#2678	C₂×C₁₃₉	1	2	yes	complemented
593	#2668	C₂×C₁₃₉	1	2	yes	complemented
594	#2644	C₂×C₁₃₉	1	1	yes	characteristic, complemented
595	#2641	C₂×C₁₃₉	1	1	yes	characteristic, complemented
596	#2512	C₂×C₁₃₉	1	1	yes	characteristic, complemented
597	#2490	C₂×C₁₃₉	1	1	yes	characteristic, complemented
598	#2445	C₂×C₁₃₉	1	1	yes	characteristic, complemented
599	#2441	C₂×C₁₃₉	1	1	yes	characteristic, complemented
600	#2433	C₂×C₁₃₉	1	1	yes	characteristic, complemented
601	#2428	C₂×C₁₃₉	1	1	yes	characteristic, complemented
602	#2414	C₂×C₁₃₉	1	1	yes	characteristic, complemented
603	#2408	C₂×C₁₃₉	1	1	yes	characteristic, complemented
604	#2324	C₂×C₁₃₉	1	1	yes	characteristic, complemented
605	#2309	C₂×C₁₃₉	1	1	yes	characteristic, complemented
606	#2290	C₂×C₁₃₉	1	1	yes	characteristic, complemented
607	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
608	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic
609	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic
610	C₂×#126	C₂²×C₁₃₉	1	2	yes	complemented
611	C₂×#125	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
612	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
613	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
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	complemented
618	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
619	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
620	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
621	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
622	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
623	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
624	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
625	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
626	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
627	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
628	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
629	#399	C₂²×C₁₃₉	1	2	yes	—
630	#397	C₂²×C₁₃₉	1	2	yes	complemented
631	#397	C₂²×C₁₃₉	1	2	yes	complemented
632	#397	C₂²×C₁₃₉	1	2	yes	complemented
633	#397	C₂²×C₁₃₉	1	2	yes	complemented
634	#397	C₂²×C₁₃₉	1	2	yes	complemented
635	#396	C₂²×C₁₃₉	1	2	yes	—
636	#396	C₂²×C₁₃₉	1	2	yes	complemented
637	#396	C₂²×C₁₃₉	1	2	yes	complemented
638	#394	C₂²×C₁₃₉	1	2	yes	—
639	#394	C₂²×C₁₃₉	1	2	yes	—
640	#394	C₂²×C₁₃₉	1	2	yes	complemented
641	#394	C₂²×C₁₃₉	1	2	yes	complemented
642	#394	C₂²×C₁₃₉	1	2	yes	complemented
643	#394	C₂²×C₁₃₉	1	2	yes	complemented
644	#394	C₂²×C₁₃₉	1	2	yes	complemented
645	#394	C₂²×C₁₃₉	1	2	yes	complemented
646	#394	C₂²×C₁₃₉	1	2	yes	complemented
647	#394	C₂²×C₁₃₉	1	2	yes	complemented
648	#392	C₂²×C₁₃₉	1	2	yes	—
649	#392	C₂²×C₁₃₉	1	2	yes	—
650	#392	C₂²×C₁₃₉	1	2	yes	—
651	#392	C₂²×C₁₃₉	1	2	yes	—
652	#392	C₂²×C₁₃₉	1	2	yes	complemented
653	#390	C₂²×C₁₃₉	1	1	yes	characteristic
654	#390	C₂²×C₁₃₉	1	1	yes	characteristic
655	#390	C₂²×C₁₃₉	1	2	yes	—
656	#390	C₂²×C₁₃₉	1	1	yes	characteristic
657	#390	C₂²×C₁₃₉	1	1	yes	characteristic
658	#390	C₂²×C₁₃₉	1	2	yes	—
659	#390	C₂²×C₁₃₉	1	2	yes	—
660	#390	C₂²×C₁₃₉	1	1	yes	characteristic
661	#390	C₂²×C₁₃₉	1	1	yes	characteristic
662	#390	C₂²×C₁₃₉	1	1	yes	characteristic
663	#390	C₂²×C₁₃₉	1	1	yes	characteristic
664	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
665	#390	C₂²×C₁₃₉	1	2	yes	complemented
666	#390	C₂²×C₁₃₉	1	2	yes	complemented
667	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
668	#390	C₂²×C₁₃₉	1	2	yes	complemented
669	#390	C₂²×C₁₃₉	1	2	yes	complemented
670	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
671	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
672	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
673	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
674	#389	C₂²×C₁₃₉	1	2	yes	complemented
675	#388	C₂²×C₁₃₉	1	1	yes	characteristic
676	#388	C₂²×C₁₃₉	1	1	yes	characteristic
677	#388	C₂²×C₁₃₉	1	2	yes	complemented
678	#388	C₂²×C₁₃₉	1	2	yes	complemented
679	#388	C₂²×C₁₃₉	1	2	yes	complemented
680	#388	C₂²×C₁₃₉	1	2	yes	complemented
681	#388	C₂²×C₁₃₉	1	2	yes	complemented
682	#388	C₂²×C₁₃₉	1	2	yes	complemented
683	#387	C₂²×C₁₃₉	1	2	yes	complemented
684	#387	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
685	#387	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
686	#386	C₂²×C₁₃₉	1	2	yes	—
687	#386	C₂²×C₁₃₉	1	1	yes	characteristic
688	#386	C₂²×C₁₃₉	1	1	yes	characteristic
689	#386	C₂²×C₁₃₉	1	2	yes	complemented
690	#386	C₂²×C₁₃₉	1	2	yes	complemented
691	#386	C₂²×C₁₃₉	1	2	yes	complemented
692	#385	C₂²×C₁₃₉	1	2	yes	complemented
693	#385	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
694	#385	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
695	#384	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
696	#380	C₂²×C₁₃₉	1	1	yes	characteristic
697	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
698	#379	C₂²×C₁₃₉	1	2	yes	—
699	#379	C₂²×C₁₃₉	1	2	yes	—
700	#379	C₂²×C₁₃₉	1	2	yes	—
701	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
702	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
703	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
704	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
705	#376	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
706	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
707	C₂²×D₄	—	2	4	no	—
708	C₂²×D₄	—	4	2	no	—
709	C₂²×D₄	—	4	2	no	—
710	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
711	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
712	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
713	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
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	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
719	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
720	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
721	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
722	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
723	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
724	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
725	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
726	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
727	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
728	#127	—	4	2	no	—
729	#127	—	4	2	no	—
730	#126	—	4	4	no	—
731	#125	—	4	2	no	—
732	#123	—	4	4	no	—
733	#123	—	4	4	no	—
734	#121	—	2	4	no	—
735	#121	—	4	4	no	—
736	#121	—	4	2	no	—
737	#121	—	4	2	no	—
738	#121	—	4	2	no	—
739	#121	—	4	4	no	—
740	#121	—	4	4	no	—
741	#120	—	4	4	no	—
742	#120	—	4	4	no	—
743	#120	—	4	4	no	—
744	C₄×D₄	—	2	4	no	—
745	C₄×D₄	—	4	2	no	—
746	#117	—	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	2	yes	—
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	1	yes	characteristic
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×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
765	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
766	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
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	1	yes	characteristic
770	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
771	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
772	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
773	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
774	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
775	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
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	2	yes	—
794	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
795	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
796	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
797	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
798	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
799	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
800	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
801	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
802	C₂×C₄²	—	4	2	no	—
803	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
804	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
805	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
806	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
807	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
808	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
809	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
810	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
811	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
812	#95	C₂³×C₁₃₉	1	1	yes	characteristic
813	#95	C₂³×C₁₃₉	1	1	yes	characteristic
814	#95	C₂³×C₁₃₉	1	1	yes	characteristic
815	#95	C₂³×C₁₃₉	1	1	yes	characteristic
816	#95	C₂³×C₁₃₉	1	1	yes	characteristic
817	#95	C₂³×C₁₃₉	1	1	yes	characteristic
818	#95	C₂³×C₁₃₉	1	1	yes	characteristic
819	#95	C₂³×C₁₃₉	1	1	yes	characteristic
820	#95	C₂³×C₁₃₉	1	2	yes	—
821	#95	C₂³×C₁₃₉	1	1	yes	characteristic
822	#95	C₂³×C₁₃₉	1	1	yes	characteristic
823	#95	C₂³×C₁₃₉	1	2	yes	—
824	#95	C₂³×C₁₃₉	1	2	yes	—
825	#95	C₂³×C₁₃₉	1	2	yes	—
826	#95	C₂³×C₁₃₉	1	2	yes	—
827	#95	C₂³×C₁₃₉	1	2	yes	—
828	#95	C₂³×C₁₃₉	1	2	yes	—
829	C₂⁴	—	2	4	no	—
830	C₂⁴	—	4	2	no	—
831	C₂⁴	—	4	2	no	—
832	C₂⁴	—	4	2	no	—
833	C₂⁴	—	4	2	no	—
834	C₂⁴	—	4	2	no	—
835	C₂⁴	—	4	2	no	—
836	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
837	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
838	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
839	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
840	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
841	C₂×D₄	—	2	2	no	—
842	C₂×D₄	—	2	2	no	—
843	C₂×D₄	—	2	4	no	—
844	C₂×D₄	—	2	4	no	—
845	C₂×D₄	—	2	4	no	—
846	C₂×D₄	—	2	4	no	—
847	C₂×D₄	—	2	2	no	—
848	C₂×D₄	—	2	4	no	—
849	C₂×D₄	—	2	2	no	—
850	C₂×D₄	—	2	2	no	—
851	C₂×D₄	—	2	2	no	—
852	C₂×D₄	—	2	2	no	—
853	C₂×D₄	—	2	2	no	—
854	C₂×D₄	—	2	2	no	—
855	C₂×D₄	—	2	2	no	—
856	C₂×D₄	—	2	2	no	—
857	C₂×D₄	—	2	4	no	—
858	C₂×D₄	—	2	4	no	—
859	C₂×D₄	—	4	2	no	—
860	C₂×D₄	—	4	2	no	—
861	C₂×D₄	—	4	1	no	—
862	C₂×D₄	—	4	16	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	C₂×D₄	—	4	2	no	—
879	C₂×D₄	—	4	2	no	—
880	C₂×D₄	—	4	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	2	no	—
888	C₂²×C₄	—	2	2	no	—
889	C₂²×C₄	—	4	1	no	—
890	C₂²×C₄	—	4	1	no	—
891	C₂²×C₄	—	4	1	no	—
892	C₂²×C₄	—	4	2	no	—
893	C₂²×C₄	—	4	2	no	—
894	C₂²×C₄	—	4	2	no	—
895	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
896	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
897	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
898	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
899	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
900	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
901	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
902	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
903	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
904	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
905	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
906	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
907	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
908	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
909	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
910	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
915	C₄⋊C₄	—	2	2	no	—
916	C₄⋊C₄	—	2	2	no	—
917	C₄⋊C₄	—	2	2	no	—
918	C₄⋊C₄	—	2	2	no	—
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	—	2	4	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	4	no	—
923	C₄⋊C₄	—	2	2	no	—
924	C₄⋊C₄	—	4	1	no	—
925	C₄⋊C₄	—	4	1	no	—
926	C₄⋊C₄	—	4	2	no	—
927	C₄⋊C₄	—	4	2	no	—
928	C₄⋊C₄	—	4	2	no	—
929	C₄⋊C₄	—	4	2	no	—
930	C₄⋊C₄	—	4	2	no	—
931	C₄⋊C₄	—	4	2	no	—
932	C₂²⋊C₄	—	2	2	no	—
933	C₂²⋊C₄	—	2	2	no	—
934	C₂²⋊C₄	—	2	2	no	—
935	C₂²⋊C₄	—	2	4	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	—	4	2	no	—
941	C₂²⋊C₄	—	4	2	no	—
942	C₂²⋊C₄	—	4	2	no	—
943	C₂²⋊C₄	—	4	1	no	—
944	C₂²⋊C₄	—	4	1	no	—
945	C₂²⋊C₄	—	4	1	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	C₂²⋊C₄	—	4	2	no	—
965	C₂²⋊C₄	—	4	2	no	—
966	C₂²⋊C₄	—	4	2	no	—
967	C₂²⋊C₄	—	4	2	no	—
968	C₄²	—	2	2	no	—
969	C₄²	—	2	2	no	—
970	C₄²	—	2	2	no	—
971	C₄²	—	2	2	no	—
972	C₄²	—	2	2	no	—
973	C₄²	—	4	1	no	—
974	C₄²	—	4	1	no	—
975	C₄²	—	4	2	no	—
976	C₄²	—	4	2	no	—
977	C₂³	—	2	1	no	—
978	C₂³	—	2	1	no	—
979	C₂³	—	2	1	no	—
980	C₂³	—	2	1	no	—
981	C₂³	—	2	1	no	—
982	C₂³	—	2	1	no	—
983	C₂³	—	2	1	no	—
984	C₂³	—	2	1	no	—
985	C₂³	—	2	1	no	—
986	C₂³	—	2	1	no	—
987	C₂³	—	2	1	no	—
988	C₂³	—	2	1	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	2	no	—
999	C₂³	—	2	2	no	—
1000	C₂³	—	2	2	no	—
1001	C₂³	—	2	2	no	—
1002	C₂³	—	2	2	no	—
1003	C₂³	—	2	2	no	—
1004	C₂³	—	2	2	no	—
1005	C₂³	—	2	2	no	—
1006	C₂³	—	2	2	no	—
1007	C₂³	—	2	2	no	—
1008	C₂³	—	2	2	no	—
1009	C₂³	—	2	2	no	—
1010	C₂³	—	4	8	no	—
1011	C₂³	—	8	4	no	—
1012	C₂³	—	8	4	no	—
1013	C₂³	—	8	4	no	—
1014	C₂³	—	8	4	no	—
1015	C₂³	—	8	4	no	—
1016	C₂³	—	8	4	no	—
1017	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1018	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1019	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1020	D₄	—	4	8	no	—
1021	D₄	—	4	4	no	—
1022	D₄	—	4	4	no	—
1023	D₄	—	4	4	no	—
1024	D₄	—	4	4	no	—
1025	D₄	—	8	4	no	—
1026	D₄	—	8	4	no	—
1027	D₄	—	8	4	no	—
1028	D₄	—	8	4	no	—
1029	D₄	—	8	4	no	—
1030	D₄	—	8	4	no	—
1031	D₄	—	8	4	no	—
1032	D₄	—	8	4	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	1	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	8	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	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	2	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	1	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	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	2	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	4	4	no	—
1083	C₂×C₄	—	4	4	no	—
1084	C₂×C₄	—	4	4	no	—
1085	C₂×C₄	—	8	4	no	—
1086	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1087	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1088	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1089	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1090	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1091	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1092	C₂²	—	2	2	no	—
1093	C₂²	—	2	2	no	—
1094	C₂²	—	2	2	no	—
1095	C₂²	—	2	2	no	—
1096	C₂²	—	2	2	no	—
1097	C₂²	—	2	2	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	—	4	1	no	—
1100	C₂²	—	4	1	no	—
1101	C₂²	—	4	1	no	—
1102	C₂²	—	4	1	no	—
1103	C₂²	—	4	1	no	—
1104	C₂²	—	4	1	no	—
1105	C₂²	—	4	1	no	—
1106	C₂²	—	4	2	no	—
1107	C₂²	—	4	2	no	—
1108	C₂²	—	4	2	no	—
1109	C₂²	—	4	2	no	—
1110	C₂²	—	4	2	no	—
1111	C₂²	—	4	2	no	—
1112	C₂²	—	4	2	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	2	no	—
1120	C₂²	—	4	2	no	—
1121	C₂²	—	4	2	no	—
1122	C₂²	—	4	2	no	—
1123	C₂²	—	4	2	no	—
1124	C₂²	—	4	2	no	—
1125	C₂²	—	4	2	no	—
1126	C₂²	—	4	2	no	—
1127	C₂²	—	8	16	no	—
1128	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1129	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1130	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1131	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1132	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1133	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1134	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1135	C₄	—	2	2	no	—
1136	C₄	—	2	2	no	—
1137	C₄	—	2	2	no	—
1138	C₄	—	4	1	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	4	2	no	—
1141	C₄	—	4	1	no	—
1142	C₄	—	4	1	no	—
1143	C₄	—	4	1	no	—
1144	C₄	—	4	2	no	—
1145	C₄	—	4	2	no	—
1146	C₄	—	4	1	no	—
1147	C₄	—	4	2	no	—
1148	C₄	—	4	1	no	—
1149	C₄	—	4	1	no	—
1150	C₄	—	4	2	no	—
1151	C₄	—	4	1	no	—
1152	C₄	#538×C₁₃₉	1	4	yes	—
1153	C₂	—	4	2	no	—
1154	C₂	—	4	2	no	—
1155	C₂	—	8	2	no	—
1156	C₂	—	8	2	no	—
1157	C₂	—	8	2	no	—
1158	C₂	C₂×#538×C₁₃₉	1	1	yes	characteristic
1159	C₂	#3494×C₁₃₉	1	1	yes	characteristic
1160	C₂	#3508×C₁₃₉	1	1	yes	characteristic
1161	C₂	#3537×C₁₃₉	1	1	yes	characteristic
1162	C₂	#3542×C₁₃₉	1	1	yes	characteristic
1163	C₂	#3543×C₁₃₉	1	1	yes	characteristic
1164	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. #2803×C₁₃₉	C₂	semidirect
4. #2797×C₁₃₉	C₂	semidirect
5. #2714×C₁₃₉	C₂	semidirect
6. #2697×C₁₃₉	C₂	semidirect
7. #2685×C₁₃₉	C₂	semidirect
8. #2682×C₁₃₉	C₂	semidirect
9. #2678×C₁₃₉	C₂	semidirect
10. #2668×C₁₃₉	C₂	semidirect
11. #2644×C₁₃₉	C₂	semidirect
12. #2641×C₁₃₉	C₂	semidirect
13. #2512×C₁₃₉	C₂	semidirect
14. #2490×C₁₃₉	C₂	semidirect
15. #2445×C₁₃₉	C₂	semidirect
16. #2441×C₁₃₉	C₂	semidirect
17. #2433×C₁₃₉	C₂	semidirect
18. #2428×C₁₃₉	C₂	semidirect
19. #2414×C₁₃₉	C₂	semidirect
20. #2408×C₁₃₉	C₂	semidirect
21. #2324×C₁₃₉	C₂	semidirect
22. #2309×C₁₃₉	C₂	semidirect
23. #2290×C₁₃₉	C₂	semidirect
27. C₂×#126×C₁₃₉	C₂²	semidirect
28. C₂×#125×C₁₃₉	C₂²	semidirect
29. C₂×#123×C₁₃₉	C₂²	semidirect
30. C₂×#123×C₁₃₉	C₂²	semidirect
34. C₂×#121×C₁₃₉	C₂²	semidirect
35. C₂×#121×C₁₃₉	C₂²	semidirect
36. C₂×#121×C₁₃₉	C₂²	semidirect
37. C₂×#121×C₁₃₉	C₂²	semidirect
42. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
45. C₂²×C₄²×C₁₃₉	C₂²	semidirect
47. #397×C₁₃₉	C₂²	semidirect
48. #397×C₁₃₉	C₂²	semidirect
49. #397×C₁₃₉	C₂²	semidirect
50. #397×C₁₃₉	C₂²	semidirect
51. #397×C₁₃₉	C₂²	semidirect
53. #396×C₁₃₉	C₂²	semidirect
54. #396×C₁₃₉	C₂²	semidirect
57. #394×C₁₃₉	C₂²	semidirect
58. #394×C₁₃₉	C₂²	semidirect
59. #394×C₁₃₉	C₂²	semidirect
60. #394×C₁₃₉	C₂²	semidirect
61. #394×C₁₃₉	C₂²	semidirect
62. #394×C₁₃₉	C₂²	semidirect
63. #394×C₁₃₉	C₂²	semidirect
64. #394×C₁₃₉	C₂²	semidirect
69. #392×C₁₃₉	C₂²	semidirect
81. #390×C₁₃₉	C₂²	semidirect
82. #390×C₁₃₉	C₂²	semidirect
83. #390×C₁₃₉	C₂²	semidirect
84. #390×C₁₃₉	C₂²	semidirect
85. #390×C₁₃₉	C₂²	semidirect
86. #390×C₁₃₉	C₂²	semidirect
87. #389×C₁₃₉	C₂²	semidirect
88. #389×C₁₃₉	C₂²	semidirect
89. #389×C₁₃₉	C₂²	semidirect
90. #389×C₁₃₉	C₂²	semidirect
91. #389×C₁₃₉	C₂²	semidirect
94. #388×C₁₃₉	C₂²	semidirect
95. #388×C₁₃₉	C₂²	semidirect
96. #388×C₁₃₉	C₂²	semidirect
97. #388×C₁₃₉	C₂²	semidirect
98. #388×C₁₃₉	C₂²	semidirect
99. #388×C₁₃₉	C₂²	semidirect
100. #387×C₁₃₉	C₂²	semidirect
101. #387×C₁₃₉	C₂²	semidirect
102. #387×C₁₃₉	C₂²	semidirect
106. #386×C₁₃₉	C₂²	semidirect
107. #386×C₁₃₉	C₂²	semidirect
108. #386×C₁₃₉	C₂²	semidirect
109. #385×C₁₃₉	C₂²	semidirect
110. #385×C₁₃₉	C₂²	semidirect
111. #385×C₁₃₉	C₂²	semidirect
112. #384×C₁₃₉	C₂²	semidirect
114. #380×C₁₃₉	C₂²	semidirect
118. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
119. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
121. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
122. #376×C₁₃₉	C₂²	semidirect
582. #37331	C₁₃₉	direct (N × H)
583. C₁₃₉	#37331	direct (N × H)
584. #2856	C₂×C₁₃₉	semidirect
585. #2854	C₂×C₁₃₉	semidirect
586. #2803	C₂×C₁₃₉	semidirect
587. #2797	C₂×C₁₃₉	semidirect
588. #2714	C₂×C₁₃₉	semidirect
589. #2697	C₂×C₁₃₉	semidirect
590. #2685	C₂×C₁₃₉	semidirect
591. #2682	C₂×C₁₃₉	semidirect
592. #2678	C₂×C₁₃₉	semidirect
593. #2668	C₂×C₁₃₉	semidirect
594. #2644	C₂×C₁₃₉	semidirect
595. #2641	C₂×C₁₃₉	semidirect
596. #2512	C₂×C₁₃₉	semidirect
597. #2490	C₂×C₁₃₉	semidirect
598. #2445	C₂×C₁₃₉	semidirect
599. #2441	C₂×C₁₃₉	semidirect
600. #2433	C₂×C₁₃₉	semidirect
601. #2428	C₂×C₁₃₉	semidirect
602. #2414	C₂×C₁₃₉	semidirect
603. #2408	C₂×C₁₃₉	semidirect
604. #2324	C₂×C₁₃₉	semidirect
605. #2309	C₂×C₁₃₉	semidirect
606. #2290	C₂×C₁₃₉	semidirect
610. C₂×#126	C₂²×C₁₃₉	semidirect
611. C₂×#125	C₂²×C₁₃₉	semidirect
612. C₂×#123	C₂²×C₁₃₉	semidirect
613. C₂×#123	C₂²×C₁₃₉	semidirect
617. C₂×#121	C₂²×C₁₃₉	semidirect
618. C₂×#121	C₂²×C₁₃₉	semidirect
619. C₂×#121	C₂²×C₁₃₉	semidirect
620. C₂×#121	C₂²×C₁₃₉	semidirect
625. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
628. C₂²×C₄²	C₂²×C₁₃₉	semidirect
630. #397	C₂²×C₁₃₉	semidirect
631. #397	C₂²×C₁₃₉	semidirect
632. #397	C₂²×C₁₃₉	semidirect
633. #397	C₂²×C₁₃₉	semidirect
634. #397	C₂²×C₁₃₉	semidirect
636. #396	C₂²×C₁₃₉	semidirect
637. #396	C₂²×C₁₃₉	semidirect
640. #394	C₂²×C₁₃₉	semidirect
641. #394	C₂²×C₁₃₉	semidirect
642. #394	C₂²×C₁₃₉	semidirect
643. #394	C₂²×C₁₃₉	semidirect
644. #394	C₂²×C₁₃₉	semidirect
645. #394	C₂²×C₁₃₉	semidirect
646. #394	C₂²×C₁₃₉	semidirect
647. #394	C₂²×C₁₃₉	semidirect
652. #392	C₂²×C₁₃₉	semidirect
664. #390	C₂²×C₁₃₉	semidirect
665. #390	C₂²×C₁₃₉	semidirect
666. #390	C₂²×C₁₃₉	semidirect
667. #390	C₂²×C₁₃₉	semidirect
668. #390	C₂²×C₁₃₉	semidirect
669. #390	C₂²×C₁₃₉	semidirect
670. #389	C₂²×C₁₃₉	semidirect
671. #389	C₂²×C₁₃₉	semidirect
672. #389	C₂²×C₁₃₉	semidirect
673. #389	C₂²×C₁₃₉	semidirect
674. #389	C₂²×C₁₃₉	semidirect
677. #388	C₂²×C₁₃₉	semidirect
678. #388	C₂²×C₁₃₉	semidirect
679. #388	C₂²×C₁₃₉	semidirect
680. #388	C₂²×C₁₃₉	semidirect
681. #388	C₂²×C₁₃₉	semidirect
682. #388	C₂²×C₁₃₉	semidirect
683. #387	C₂²×C₁₃₉	semidirect
684. #387	C₂²×C₁₃₉	semidirect
685. #387	C₂²×C₁₃₉	semidirect
689. #386	C₂²×C₁₃₉	semidirect
690. #386	C₂²×C₁₃₉	semidirect
691. #386	C₂²×C₁₃₉	semidirect
692. #385	C₂²×C₁₃₉	semidirect
693. #385	C₂²×C₁₃₉	semidirect
694. #385	C₂²×C₁₃₉	semidirect
695. #384	C₂²×C₁₃₉	semidirect
697. #380	C₂²×C₁₃₉	semidirect
701. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
702. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
704. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
705. #376	C₂²×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
#2803×C₁₃₉	2
#2797×C₁₃₉	2
#2714×C₁₃₉	2
#2697×C₁₃₉	2
#2685×C₁₃₉	2
#2682×C₁₃₉	2
#2678×C₁₃₉	2
#2668×C₁₃₉	2
#2644×C₁₃₉	2
#2641×C₁₃₉	2
#2512×C₁₃₉	2
#2490×C₁₃₉	2
#2445×C₁₃₉	2
#2441×C₁₃₉	2
#2433×C₁₃₉	2
#2428×C₁₃₉	2
#2414×C₁₃₉	2
#2408×C₁₃₉	2
#2324×C₁₃₉	2
#2309×C₁₃₉	2
#2290×C₁₃₉	2
#37331	139

Subgroups — C139×#37331 #48031927

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#37331 #48031927