Subgroups — C₁₃₉×#36291 #48030887

Order 35584.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1116 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2860×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#2854×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2851×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2595×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2516×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2513×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2490×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2487×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2480×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2471×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2467×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2454×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2420×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2418×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2408×C₁₃₉	C₂	1	1	yes	maximal, characteristic
16	#2358×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2345×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2342×C₁₃₉	C₂	1	2	yes	maximal, complemented
19	D₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#121×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2293×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#390×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄²×D₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
25	C₂×#126×C₁₃₉	C₂²	1	2	yes	complemented
26	C₂×#125×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
27	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
28	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
29	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
30	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
31	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
37	C₂×#117×C₁₃₉	C₂²	1	2	yes	complemented
38	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
40	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
41	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
42	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
44	#400×C₁₃₉	C₂²	1	2	yes	complemented
45	#399×C₁₃₉	C₂²	1	2	yes	complemented
46	#399×C₁₃₉	C₂²	1	2	yes	complemented
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	#396×C₁₃₉	C₂²	1	2	yes	complemented
52	#394×C₁₃₉	C₂²	1	2	yes	—
53	#394×C₁₃₉	C₂²	1	2	yes	complemented
54	#394×C₁₃₉	C₂²	1	2	yes	complemented
55	#392×C₁₃₉	C₂²	1	2	yes	—
56	#390×C₁₃₉	C₂²	1	1	yes	characteristic
57	#390×C₁₃₉	C₂²	1	1	yes	characteristic
58	#390×C₁₃₉	C₂²	1	1	yes	characteristic
59	#390×C₁₃₉	C₂²	1	2	yes	—
60	#390×C₁₃₉	C₂²	1	1	yes	characteristic
61	#390×C₁₃₉	C₂²	1	2	yes	—
62	#390×C₁₃₉	C₂²	1	1	yes	characteristic
63	#390×C₁₃₉	C₂²	1	1	yes	characteristic
64	#390×C₁₃₉	C₂²	1	1	yes	characteristic
65	#390×C₁₃₉	C₂²	1	1	yes	characteristic
66	#390×C₁₃₉	C₂²	1	2	yes	complemented
67	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
68	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
69	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
70	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
71	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
72	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
73	#388×C₁₃₉	C₂²	1	2	yes	complemented
74	#388×C₁₃₉	C₂²	1	2	yes	complemented
75	#388×C₁₃₉	C₂²	1	2	yes	complemented
76	#388×C₁₃₉	C₂²	1	2	yes	complemented
77	#388×C₁₃₉	C₂²	1	2	yes	complemented
78	#388×C₁₃₉	C₂²	1	2	yes	complemented
79	#388×C₁₃₉	C₂²	1	2	yes	complemented
80	#388×C₁₃₉	C₂²	1	2	yes	complemented
81	#388×C₁₃₉	C₂²	1	2	yes	complemented
82	#388×C₁₃₉	C₂²	1	2	yes	complemented
83	#388×C₁₃₉	C₂²	1	2	yes	complemented
84	#387×C₁₃₉	C₂²	1	2	yes	complemented
85	#387×C₁₃₉	C₂²	1	2	yes	complemented
86	#387×C₁₃₉	C₂²	1	2	yes	complemented
87	#387×C₁₃₉	C₂²	1	2	yes	complemented
88	#386×C₁₃₉	C₂²	1	2	yes	—
89	#386×C₁₃₉	C₂²	1	2	yes	—
90	#386×C₁₃₉	C₂²	1	2	yes	—
91	#386×C₁₃₉	C₂²	1	2	yes	complemented
92	#386×C₁₃₉	C₂²	1	2	yes	complemented
93	#386×C₁₃₉	C₂²	1	2	yes	complemented
94	#385×C₁₃₉	C₂²	1	2	yes	—
95	#385×C₁₃₉	C₂²	1	2	yes	—
96	#385×C₁₃₉	C₂²	1	2	yes	—
97	#385×C₁₃₉	C₂²	1	2	yes	complemented
98	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
99	#381×C₁₃₉	C₂²	1	2	yes	complemented
100	#380×C₁₃₉	C₂²	1	1	yes	characteristic
101	#380×C₁₃₉	C₂²	1	1	yes	characteristic
102	#380×C₁₃₉	C₂²	1	2	yes	—
103	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
104	#380×C₁₃₉	C₂²	1	2	yes	complemented
105	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
106	#379×C₁₃₉	C₂²	1	2	yes	—
107	#379×C₁₃₉	C₂²	1	2	yes	—
108	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
109	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
110	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
111	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
112	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
113	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
114	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
115	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
116	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
117	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
118	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
121	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
122	C₄³×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	—	2	4	no	—
126	C₂²×D₄×C₁₃₉	—	4	2	no	—
127	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
128	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
129	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
130	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
132	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
133	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
134	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
135	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
136	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
137	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
139	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
141	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
142	#126×C₁₃₉	—	4	4	no	—
143	#125×C₁₃₉	—	4	2	no	—
144	#123×C₁₃₉	—	4	4	no	—
145	#121×C₁₃₉	—	2	4	no	—
146	#121×C₁₃₉	—	4	2	no	—
147	#120×C₁₃₉	—	2	8	no	—
148	C₄×D₄×C₁₃₉	—	2	4	no	—
149	C₄×D₄×C₁₃₉	—	2	4	no	—
150	C₄×D₄×C₁₃₉	—	2	4	no	—
151	C₄×D₄×C₁₃₉	—	2	4	no	—
152	C₄×D₄×C₁₃₉	—	4	2	no	—
153	C₄×D₄×C₁₃₉	—	4	4	no	—
154	#117×C₁₃₉	—	4	4	no	—
155	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
156	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
157	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
158	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
159	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
160	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
161	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
162	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
163	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
164	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
168	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
169	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
170	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
171	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
172	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
173	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
174	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
175	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
176	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
177	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
178	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
179	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
180	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
181	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
182	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
183	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	2	yes	—
187	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
188	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
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	2	yes	—
205	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
206	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₃₉	—	4	2	no	—
208	C₂×C₄²×C₁₃₉	—	4	2	no	—
209	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
223	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
224	#95×C₁₃₉	C₂³	1	1	yes	characteristic
225	#95×C₁₃₉	C₂³	1	1	yes	characteristic
226	#95×C₁₃₉	C₂³	1	2	yes	—
227	#95×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
236	#95×C₁₃₉	C₂³	1	1	yes	characteristic
237	#95×C₁₃₉	C₂³	1	1	yes	characteristic
238	#95×C₁₃₉	C₂³	1	1	yes	characteristic
239	#95×C₁₃₉	C₂³	1	2	yes	—
240	#95×C₁₃₉	C₂³	1	2	yes	—
241	#95×C₁₃₉	C₂³	1	2	yes	—
242	#95×C₁₃₉	C₂³	1	2	yes	—
243	#95×C₁₃₉	C₂³	1	2	yes	—
244	C₂⁴×C₁₃₉	—	2	4	no	—
245	C₂⁴×C₁₃₉	—	2	4	no	—
246	C₂⁴×C₁₃₉	—	2	4	no	—
247	C₂⁴×C₁₃₉	—	2	4	no	—
248	C₂⁴×C₁₃₉	—	4	2	no	—
249	C₂⁴×C₁₃₉	—	4	2	no	—
250	C₂⁴×C₁₃₉	—	4	2	no	—
251	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
252	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
253	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
254	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
255	C₂×D₄×C₁₃₉	—	2	2	no	—
256	C₂×D₄×C₁₃₉	—	2	2	no	—
257	C₂×D₄×C₁₃₉	—	2	4	no	—
258	C₂×D₄×C₁₃₉	—	2	4	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	4	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	—	4	16	no	—
268	C₂×D₄×C₁₃₉	—	4	2	no	—
269	C₂×D₄×C₁₃₉	—	4	2	no	—
270	C₂×D₄×C₁₃₉	—	4	2	no	—
271	C₂×D₄×C₁₃₉	—	4	2	no	—
272	C₂×D₄×C₁₃₉	#41	1	4	yes	—
273	C₂×D₄×C₁₃₉	#41	1	4	yes	—
274	C₂²×C₄×C₁₃₉	—	2	2	no	—
275	C₂²×C₄×C₁₃₉	—	2	2	no	—
276	C₂²×C₄×C₁₃₉	—	2	4	no	—
277	C₂²×C₄×C₁₃₉	—	2	2	no	—
278	C₂²×C₄×C₁₃₉	—	2	2	no	—
279	C₂²×C₄×C₁₃₉	—	2	2	no	—
280	C₂²×C₄×C₁₃₉	—	2	4	no	—
281	C₂²×C₄×C₁₃₉	—	2	4	no	—
282	C₂²×C₄×C₁₃₉	—	2	2	no	—
283	C₂²×C₄×C₁₃₉	—	2	2	no	—
284	C₂²×C₄×C₁₃₉	—	2	2	no	—
285	C₂²×C₄×C₁₃₉	—	2	2	no	—
286	C₂²×C₄×C₁₃₉	—	2	2	no	—
287	C₂²×C₄×C₁₃₉	—	2	2	no	—
288	C₂²×C₄×C₁₃₉	—	2	2	no	—
289	C₂²×C₄×C₁₃₉	—	2	2	no	—
290	C₂²×C₄×C₁₃₉	—	2	4	no	—
291	C₂²×C₄×C₁₃₉	—	4	1	no	—
292	C₂²×C₄×C₁₃₉	—	4	1	no	—
293	C₂²×C₄×C₁₃₉	—	4	1	no	—
294	C₂²×C₄×C₁₃₉	—	4	1	no	—
295	C₂²×C₄×C₁₃₉	—	4	2	no	—
296	C₂²×C₄×C₁₃₉	—	4	2	no	—
297	C₂²×C₄×C₁₃₉	—	4	2	no	—
298	C₂²×C₄×C₁₃₉	—	4	2	no	—
299	C₂²×C₄×C₁₃₉	—	4	2	no	—
300	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
301	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
302	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
303	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
304	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
306	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
308	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
309	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
310	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
311	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
312	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
318	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
319	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
320	C₄⋊C₄×C₁₃₉	—	2	4	no	—
321	C₄⋊C₄×C₁₃₉	—	2	2	no	—
322	C₄⋊C₄×C₁₃₉	—	2	2	no	—
323	C₄⋊C₄×C₁₃₉	—	2	2	no	—
324	C₄⋊C₄×C₁₃₉	—	2	2	no	—
325	C₄⋊C₄×C₁₃₉	—	2	2	no	—
326	C₄⋊C₄×C₁₃₉	—	2	2	no	—
327	C₄⋊C₄×C₁₃₉	—	2	2	no	—
328	C₄⋊C₄×C₁₃₉	—	2	4	no	—
329	C₄⋊C₄×C₁₃₉	—	2	2	no	—
330	C₄⋊C₄×C₁₃₉	—	2	4	no	—
331	C₄⋊C₄×C₁₃₉	—	2	2	no	—
332	C₄⋊C₄×C₁₃₉	—	4	2	no	—
333	C₄⋊C₄×C₁₃₉	—	4	2	no	—
334	C₄⋊C₄×C₁₃₉	—	4	2	no	—
335	C₄⋊C₄×C₁₃₉	—	4	2	no	—
336	C₄⋊C₄×C₁₃₉	—	4	2	no	—
337	C₄⋊C₄×C₁₃₉	—	4	2	no	—
338	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
339	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
340	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
341	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
342	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
343	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
344	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
345	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
346	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
347	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
348	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
349	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
350	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
351	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
352	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
353	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
354	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
355	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
356	C₂²⋊C₄×C₁₃₉	—	4	2	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	2	no	—
361	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
362	C₂²⋊C₄×C₁₃₉	—	4	2	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	#41	1	4	yes	—
368	C₄²×C₁₃₉	—	2	2	no	—
369	C₄²×C₁₃₉	—	2	2	no	—
370	C₄²×C₁₃₉	—	2	2	no	—
371	C₄²×C₁₃₉	—	2	2	no	—
372	C₄²×C₁₃₉	—	2	2	no	—
373	C₄²×C₁₃₉	—	2	2	no	—
374	C₄²×C₁₃₉	—	2	2	no	—
375	C₄²×C₁₃₉	—	2	2	no	—
376	C₄²×C₁₃₉	—	2	2	no	—
377	C₄²×C₁₃₉	—	4	1	no	—
378	C₄²×C₁₃₉	—	4	1	no	—
379	C₄²×C₁₃₉	—	4	1	no	—
380	C₄²×C₁₃₉	—	4	1	no	—
381	C₄²×C₁₃₉	—	4	2	no	—
382	C₄²×C₁₃₉	—	4	2	no	—
383	C₂³×C₁₃₉	—	2	1	no	—
384	C₂³×C₁₃₉	—	2	1	no	—
385	C₂³×C₁₃₉	—	2	1	no	—
386	C₂³×C₁₃₉	—	2	1	no	—
387	C₂³×C₁₃₉	—	2	1	no	—
388	C₂³×C₁₃₉	—	2	1	no	—
389	C₂³×C₁₃₉	—	2	2	no	—
390	C₂³×C₁₃₉	—	2	2	no	—
391	C₂³×C₁₃₉	—	2	1	no	—
392	C₂³×C₁₃₉	—	2	2	no	—
393	C₂³×C₁₃₉	—	2	2	no	—
394	C₂³×C₁₃₉	—	2	2	no	—
395	C₂³×C₁₃₉	—	2	1	no	—
396	C₂³×C₁₃₉	—	2	1	no	—
397	C₂³×C₁₃₉	—	2	2	no	—
398	C₂³×C₁₃₉	—	2	1	no	—
399	C₂³×C₁₃₉	—	2	2	no	—
400	C₂³×C₁₃₉	—	2	2	no	—
401	C₂³×C₁₃₉	—	2	2	no	—
402	C₂³×C₁₃₉	—	2	2	no	—
403	C₂³×C₁₃₉	—	2	2	no	—
404	C₂³×C₁₃₉	—	2	2	no	—
405	C₂³×C₁₃₉	—	2	2	no	—
406	C₂³×C₁₃₉	—	4	8	no	—
407	C₂³×C₁₃₉	—	4	8	no	—
408	C₂³×C₁₃₉	—	4	8	no	—
409	C₂³×C₁₃₉	—	4	8	no	—
410	C₂³×C₁₃₉	—	8	4	no	—
411	C₂³×C₁₃₉	—	8	4	no	—
412	C₂³×C₁₃₉	—	8	4	no	—
413	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
414	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
415	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
416	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
417	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
418	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
419	D₄×C₁₃₉	—	2	8	no	—
420	D₄×C₁₃₉	—	2	8	no	—
421	D₄×C₁₃₉	—	4	8	no	—
422	D₄×C₁₃₉	—	4	8	no	—
423	D₄×C₁₃₉	—	4	4	no	—
424	D₄×C₁₃₉	—	8	4	no	—
425	C₂×C₄×C₁₃₉	—	2	1	no	—
426	C₂×C₄×C₁₃₉	—	2	1	no	—
427	C₂×C₄×C₁₃₉	—	2	1	no	—
428	C₂×C₄×C₁₃₉	—	2	1	no	—
429	C₂×C₄×C₁₃₉	—	2	1	no	—
430	C₂×C₄×C₁₃₉	—	2	1	no	—
431	C₂×C₄×C₁₃₉	—	2	1	no	—
432	C₂×C₄×C₁₃₉	—	2	1	no	—
433	C₂×C₄×C₁₃₉	—	2	1	no	—
434	C₂×C₄×C₁₃₉	—	2	1	no	—
435	C₂×C₄×C₁₃₉	—	2	1	no	—
436	C₂×C₄×C₁₃₉	—	2	1	no	—
437	C₂×C₄×C₁₃₉	—	2	8	no	—
438	C₂×C₄×C₁₃₉	—	2	1	no	—
439	C₂×C₄×C₁₃₉	—	2	1	no	—
440	C₂×C₄×C₁₃₉	—	2	1	no	—
441	C₂×C₄×C₁₃₉	—	2	1	no	—
442	C₂×C₄×C₁₃₉	—	2	2	no	—
443	C₂×C₄×C₁₃₉	—	2	2	no	—
444	C₂×C₄×C₁₃₉	—	2	2	no	—
445	C₂×C₄×C₁₃₉	—	2	2	no	—
446	C₂×C₄×C₁₃₉	—	2	1	no	—
447	C₂×C₄×C₁₃₉	—	2	2	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	2	no	—
452	C₂×C₄×C₁₃₉	—	2	2	no	—
453	C₂×C₄×C₁₃₉	—	2	2	no	—
454	C₂×C₄×C₁₃₉	—	2	1	no	—
455	C₂×C₄×C₁₃₉	—	2	1	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	2	no	—
462	C₂×C₄×C₁₃₉	—	2	2	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	2	no	—
470	C₂×C₄×C₁₃₉	—	2	2	no	—
471	C₂×C₄×C₁₃₉	—	2	1	no	—
472	C₂×C₄×C₁₃₉	—	2	2	no	—
473	C₂×C₄×C₁₃₉	—	2	2	no	—
474	C₂×C₄×C₁₃₉	—	4	4	no	—
475	C₂×C₄×C₁₃₉	—	4	8	no	—
476	C₂×C₄×C₁₃₉	—	4	4	no	—
477	C₂×C₄×C₁₃₉	—	4	4	no	—
478	C₂×C₄×C₁₃₉	—	4	4	no	—
479	C₂×C₄×C₁₃₉	—	4	4	no	—
480	C₂×C₄×C₁₃₉	—	8	4	no	—
481	C₂×C₄×C₁₃₉	—	8	4	no	—
482	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
483	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
484	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
485	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
486	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
487	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
488	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
489	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
490	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
491	C₂²×C₁₃₉	—	2	2	no	—
492	C₂²×C₁₃₉	—	2	2	no	—
493	C₂²×C₁₃₉	—	2	2	no	—
494	C₂²×C₁₃₉	—	2	2	no	—
495	C₂²×C₁₃₉	—	2	2	no	—
496	C₂²×C₁₃₉	—	2	2	no	—
497	C₂²×C₁₃₉	—	2	2	no	—
498	C₂²×C₁₃₉	—	2	4	no	—
499	C₂²×C₁₃₉	—	2	4	no	—
500	C₂²×C₁₃₉	—	2	2	no	—
501	C₂²×C₁₃₉	—	2	4	no	—
502	C₂²×C₁₃₉	—	2	2	no	—
503	C₂²×C₁₃₉	—	4	2	no	—
504	C₂²×C₁₃₉	—	4	1	no	—
505	C₂²×C₁₃₉	—	4	1	no	—
506	C₂²×C₁₃₉	—	4	1	no	—
507	C₂²×C₁₃₉	—	4	2	no	—
508	C₂²×C₁₃₉	—	4	1	no	—
509	C₂²×C₁₃₉	—	4	2	no	—
510	C₂²×C₁₃₉	—	4	2	no	—
511	C₂²×C₁₃₉	—	4	2	no	—
512	C₂²×C₁₃₉	—	4	2	no	—
513	C₂²×C₁₃₉	—	4	2	no	—
514	C₂²×C₁₃₉	—	4	2	no	—
515	C₂²×C₁₃₉	—	4	2	no	—
516	C₂²×C₁₃₉	—	4	2	no	—
517	C₂²×C₁₃₉	—	4	2	no	—
518	C₂²×C₁₃₉	—	8	16	no	—
519	C₂²×C₁₃₉	#529	1	4	yes	—
520	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
521	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
522	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
523	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
524	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
525	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
526	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
527	C₄×C₁₃₉	—	2	2	no	—
528	C₄×C₁₃₉	—	2	2	no	—
529	C₄×C₁₃₉	—	2	2	no	—
530	C₄×C₁₃₉	—	2	2	no	—
531	C₄×C₁₃₉	—	2	2	no	—
532	C₄×C₁₃₉	—	2	2	no	—
533	C₄×C₁₃₉	—	4	1	no	—
534	C₄×C₁₃₉	—	4	1	no	—
535	C₄×C₁₃₉	—	4	2	no	—
536	C₄×C₁₃₉	—	4	2	no	—
537	C₄×C₁₃₉	—	4	1	no	—
538	C₄×C₁₃₉	—	4	2	no	—
539	C₄×C₁₃₉	—	4	2	no	—
540	C₄×C₁₃₉	—	4	1	no	—
541	C₄×C₁₃₉	—	4	1	no	—
542	C₄×C₁₃₉	—	4	1	no	—
543	C₄×C₁₃₉	—	4	2	no	—
544	C₄×C₁₃₉	—	4	2	no	—
545	C₄×C₁₃₉	#551	1	4	yes	—
546	C₂×C₁₃₉	—	2	4	no	—
547	C₂×C₁₃₉	—	4	2	no	—
548	C₂×C₁₃₉	—	4	4	no	—
549	C₂×C₁₃₉	—	8	2	no	—
550	C₂×C₁₃₉	C₂×#529	1	1	yes	characteristic
551	C₂×C₁₃₉	C₂×#551	1	1	yes	characteristic
552	C₂×C₁₃₉	#3481	1	1	yes	characteristic
553	C₂×C₁₃₉	#3481	1	1	yes	characteristic
554	C₂×C₁₃₉	#3508	1	1	yes	characteristic
555	C₂×C₁₃₉	#3519	1	1	yes	characteristic
556	C₂×C₁₃₉	#3519	1	1	yes	characteristic
557	#36291	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
558	C₁₃₉	#36291	1	1	yes	characteristic, direct product factor, Sylow
559	#2860	C₂×C₁₃₉	1	1	yes	characteristic, complemented
560	#2854	C₂×C₁₃₉	1	1	yes	characteristic, complemented
561	#2851	C₂×C₁₃₉	1	1	yes	characteristic, complemented
562	#2595	C₂×C₁₃₉	1	2	yes	complemented
563	#2516	C₂×C₁₃₉	1	2	yes	complemented
564	#2513	C₂×C₁₃₉	1	1	yes	characteristic, complemented
565	#2490	C₂×C₁₃₉	1	1	yes	characteristic, complemented
566	#2487	C₂×C₁₃₉	1	1	yes	characteristic, complemented
567	#2480	C₂×C₁₃₉	1	2	yes	complemented
568	#2471	C₂×C₁₃₉	1	2	yes	complemented
569	#2467	C₂×C₁₃₉	1	2	yes	complemented
570	#2454	C₂×C₁₃₉	1	1	yes	characteristic, complemented
571	#2420	C₂×C₁₃₉	1	1	yes	characteristic, complemented
572	#2418	C₂×C₁₃₉	1	2	yes	complemented
573	#2408	C₂×C₁₃₉	1	1	yes	characteristic
574	#2358	C₂×C₁₃₉	1	2	yes	complemented
575	#2345	C₂×C₁₃₉	1	1	yes	characteristic, complemented
576	#2342	C₂×C₁₃₉	1	2	yes	complemented
577	D₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
578	C₄×#121	C₂×C₁₃₉	1	1	yes	characteristic, complemented
579	#2293	C₂×C₁₃₉	1	1	yes	characteristic, complemented
580	C₂×#390	C₂×C₁₃₉	1	1	yes	characteristic, complemented
581	C₄²×D₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
582	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
583	C₂×#126	C₂²×C₁₃₉	1	2	yes	complemented
584	C₂×#125	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
585	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
586	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
587	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
588	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
589	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
590	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
591	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
592	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
593	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
594	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
595	C₂×#117	C₂²×C₁₃₉	1	2	yes	complemented
596	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
597	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
598	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
599	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
600	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
601	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
602	#400	C₂²×C₁₃₉	1	2	yes	complemented
603	#399	C₂²×C₁₃₉	1	2	yes	complemented
604	#399	C₂²×C₁₃₉	1	2	yes	complemented
605	#397	C₂²×C₁₃₉	1	2	yes	complemented
606	#397	C₂²×C₁₃₉	1	2	yes	complemented
607	#397	C₂²×C₁₃₉	1	2	yes	complemented
608	#397	C₂²×C₁₃₉	1	2	yes	complemented
609	#396	C₂²×C₁₃₉	1	2	yes	complemented
610	#394	C₂²×C₁₃₉	1	2	yes	—
611	#394	C₂²×C₁₃₉	1	2	yes	complemented
612	#394	C₂²×C₁₃₉	1	2	yes	complemented
613	#392	C₂²×C₁₃₉	1	2	yes	—
614	#390	C₂²×C₁₃₉	1	1	yes	characteristic
615	#390	C₂²×C₁₃₉	1	1	yes	characteristic
616	#390	C₂²×C₁₃₉	1	2	yes	—
617	#390	C₂²×C₁₃₉	1	1	yes	characteristic
618	#390	C₂²×C₁₃₉	1	1	yes	characteristic
619	#390	C₂²×C₁₃₉	1	1	yes	characteristic
620	#390	C₂²×C₁₃₉	1	1	yes	characteristic
621	#390	C₂²×C₁₃₉	1	2	yes	—
622	#390	C₂²×C₁₃₉	1	1	yes	characteristic
623	#390	C₂²×C₁₃₉	1	1	yes	characteristic
624	#390	C₂²×C₁₃₉	1	2	yes	complemented
625	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
626	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
627	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
628	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
629	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
630	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
631	#388	C₂²×C₁₃₉	1	2	yes	complemented
632	#388	C₂²×C₁₃₉	1	2	yes	complemented
633	#388	C₂²×C₁₃₉	1	2	yes	complemented
634	#388	C₂²×C₁₃₉	1	2	yes	complemented
635	#388	C₂²×C₁₃₉	1	2	yes	complemented
636	#388	C₂²×C₁₃₉	1	2	yes	complemented
637	#388	C₂²×C₁₃₉	1	2	yes	complemented
638	#388	C₂²×C₁₃₉	1	2	yes	complemented
639	#388	C₂²×C₁₃₉	1	2	yes	complemented
640	#388	C₂²×C₁₃₉	1	2	yes	complemented
641	#388	C₂²×C₁₃₉	1	2	yes	complemented
642	#387	C₂²×C₁₃₉	1	2	yes	complemented
643	#387	C₂²×C₁₃₉	1	2	yes	complemented
644	#387	C₂²×C₁₃₉	1	2	yes	complemented
645	#387	C₂²×C₁₃₉	1	2	yes	complemented
646	#386	C₂²×C₁₃₉	1	2	yes	—
647	#386	C₂²×C₁₃₉	1	2	yes	—
648	#386	C₂²×C₁₃₉	1	2	yes	—
649	#386	C₂²×C₁₃₉	1	2	yes	complemented
650	#386	C₂²×C₁₃₉	1	2	yes	complemented
651	#386	C₂²×C₁₃₉	1	2	yes	complemented
652	#385	C₂²×C₁₃₉	1	2	yes	—
653	#385	C₂²×C₁₃₉	1	2	yes	—
654	#385	C₂²×C₁₃₉	1	2	yes	—
655	#385	C₂²×C₁₃₉	1	2	yes	complemented
656	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
657	#381	C₂²×C₁₃₉	1	2	yes	complemented
658	#380	C₂²×C₁₃₉	1	1	yes	characteristic
659	#380	C₂²×C₁₃₉	1	1	yes	characteristic
660	#380	C₂²×C₁₃₉	1	2	yes	—
661	#380	C₂²×C₁₃₉	1	2	yes	complemented
662	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
663	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
664	#379	C₂²×C₁₃₉	1	2	yes	—
665	#379	C₂²×C₁₃₉	1	2	yes	—
666	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
667	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
668	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
669	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
670	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
671	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
672	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
673	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
674	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
675	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
676	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
677	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
678	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
679	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
680	C₄³	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
681	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
682	C₂²×D₄	—	2	4	no	—
683	C₂²×D₄	—	2	4	no	—
684	C₂²×D₄	—	4	2	no	—
685	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
686	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
687	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
688	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
689	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
690	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
691	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
692	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
693	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
694	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
695	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
696	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
697	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
698	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
699	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
700	#126	—	4	4	no	—
701	#125	—	4	2	no	—
702	#123	—	4	4	no	—
703	#121	—	2	4	no	—
704	#121	—	4	2	no	—
705	#120	—	2	8	no	—
706	C₄×D₄	—	2	4	no	—
707	C₄×D₄	—	2	4	no	—
708	C₄×D₄	—	2	4	no	—
709	C₄×D₄	—	2	4	no	—
710	C₄×D₄	—	4	2	no	—
711	C₄×D₄	—	4	4	no	—
712	#117	—	4	4	no	—
713	C₂×C₄⋊C₄	—	2	4	no	—
714	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
715	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
716	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
717	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
718	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
719	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
720	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
721	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
722	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
723	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
724	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
725	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
726	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
727	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
728	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
729	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
730	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
731	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
732	C₂×C₂²⋊C₄	—	2	8	no	—
733	C₂×C₂²⋊C₄	—	4	4	no	—
734	C₂×C₂²⋊C₄	—	4	4	no	—
735	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
736	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
737	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
738	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
739	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
740	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
741	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
742	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
743	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
744	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
745	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
746	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
747	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
748	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
749	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
750	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
751	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
752	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
753	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
754	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
755	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
756	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
757	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
758	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
759	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
760	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
761	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
762	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
763	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
764	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
765	C₂×C₄²	—	4	2	no	—
766	C₂×C₄²	—	4	2	no	—
767	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
768	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
769	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
770	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
771	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
772	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
773	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
774	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
775	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
776	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
777	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
778	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
779	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
780	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
781	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
782	#95	C₂³×C₁₃₉	1	1	yes	characteristic
783	#95	C₂³×C₁₃₉	1	1	yes	characteristic
784	#95	C₂³×C₁₃₉	1	1	yes	characteristic
785	#95	C₂³×C₁₃₉	1	1	yes	characteristic
786	#95	C₂³×C₁₃₉	1	1	yes	characteristic
787	#95	C₂³×C₁₃₉	1	1	yes	characteristic
788	#95	C₂³×C₁₃₉	1	2	yes	—
789	#95	C₂³×C₁₃₉	1	2	yes	—
790	#95	C₂³×C₁₃₉	1	2	yes	—
791	#95	C₂³×C₁₃₉	1	2	yes	—
792	#95	C₂³×C₁₃₉	1	2	yes	—
793	#95	C₂³×C₁₃₉	1	2	yes	—
794	#95	C₂³×C₁₃₉	1	2	yes	—
795	#95	C₂³×C₁₃₉	1	2	yes	—
796	#95	C₂³×C₁₃₉	1	2	yes	—
797	#95	C₂³×C₁₃₉	1	2	yes	—
798	#95	C₂³×C₁₃₉	1	2	yes	—
799	#95	C₂³×C₁₃₉	1	2	yes	—
800	#95	C₂³×C₁₃₉	1	2	yes	—
801	#95	C₂³×C₁₃₉	1	2	yes	—
802	C₂⁴	—	2	4	no	—
803	C₂⁴	—	2	4	no	—
804	C₂⁴	—	2	4	no	—
805	C₂⁴	—	2	4	no	—
806	C₂⁴	—	4	2	no	—
807	C₂⁴	—	4	2	no	—
808	C₂⁴	—	4	2	no	—
809	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
810	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
811	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
812	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
813	C₂×D₄	—	2	2	no	—
814	C₂×D₄	—	2	2	no	—
815	C₂×D₄	—	2	4	no	—
816	C₂×D₄	—	2	4	no	—
817	C₂×D₄	—	2	4	no	—
818	C₂×D₄	—	2	4	no	—
819	C₂×D₄	—	2	2	no	—
820	C₂×D₄	—	2	4	no	—
821	C₂×D₄	—	2	2	no	—
822	C₂×D₄	—	2	2	no	—
823	C₂×D₄	—	2	2	no	—
824	C₂×D₄	—	2	2	no	—
825	C₂×D₄	—	4	16	no	—
826	C₂×D₄	—	4	2	no	—
827	C₂×D₄	—	4	2	no	—
828	C₂×D₄	—	4	2	no	—
829	C₂×D₄	—	4	2	no	—
830	C₂×D₄	#41×C₁₃₉	1	4	yes	—
831	C₂×D₄	#41×C₁₃₉	1	4	yes	—
832	C₂²×C₄	—	2	2	no	—
833	C₂²×C₄	—	2	2	no	—
834	C₂²×C₄	—	2	4	no	—
835	C₂²×C₄	—	2	2	no	—
836	C₂²×C₄	—	2	2	no	—
837	C₂²×C₄	—	2	2	no	—
838	C₂²×C₄	—	2	4	no	—
839	C₂²×C₄	—	2	4	no	—
840	C₂²×C₄	—	2	2	no	—
841	C₂²×C₄	—	2	2	no	—
842	C₂²×C₄	—	2	2	no	—
843	C₂²×C₄	—	2	2	no	—
844	C₂²×C₄	—	2	2	no	—
845	C₂²×C₄	—	2	2	no	—
846	C₂²×C₄	—	2	2	no	—
847	C₂²×C₄	—	2	2	no	—
848	C₂²×C₄	—	2	4	no	—
849	C₂²×C₄	—	4	1	no	—
850	C₂²×C₄	—	4	1	no	—
851	C₂²×C₄	—	4	1	no	—
852	C₂²×C₄	—	4	1	no	—
853	C₂²×C₄	—	4	2	no	—
854	C₂²×C₄	—	4	2	no	—
855	C₂²×C₄	—	4	2	no	—
856	C₂²×C₄	—	4	2	no	—
857	C₂²×C₄	—	4	2	no	—
858	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
859	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
860	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
861	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
862	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
863	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
864	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
865	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
866	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
867	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
868	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
869	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
870	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
871	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
872	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
873	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
874	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
875	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
876	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
877	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
878	C₄⋊C₄	—	2	4	no	—
879	C₄⋊C₄	—	2	2	no	—
880	C₄⋊C₄	—	2	2	no	—
881	C₄⋊C₄	—	2	2	no	—
882	C₄⋊C₄	—	2	2	no	—
883	C₄⋊C₄	—	2	2	no	—
884	C₄⋊C₄	—	2	2	no	—
885	C₄⋊C₄	—	2	2	no	—
886	C₄⋊C₄	—	2	4	no	—
887	C₄⋊C₄	—	2	2	no	—
888	C₄⋊C₄	—	2	4	no	—
889	C₄⋊C₄	—	2	2	no	—
890	C₄⋊C₄	—	4	2	no	—
891	C₄⋊C₄	—	4	2	no	—
892	C₄⋊C₄	—	4	2	no	—
893	C₄⋊C₄	—	4	2	no	—
894	C₄⋊C₄	—	4	2	no	—
895	C₄⋊C₄	—	4	2	no	—
896	C₂²⋊C₄	—	2	4	no	—
897	C₂²⋊C₄	—	2	4	no	—
898	C₂²⋊C₄	—	2	2	no	—
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	2	2	no	—
901	C₂²⋊C₄	—	2	4	no	—
902	C₂²⋊C₄	—	2	4	no	—
903	C₂²⋊C₄	—	2	4	no	—
904	C₂²⋊C₄	—	2	4	no	—
905	C₂²⋊C₄	—	2	2	no	—
906	C₂²⋊C₄	—	2	2	no	—
907	C₂²⋊C₄	—	2	4	no	—
908	C₂²⋊C₄	—	2	4	no	—
909	C₂²⋊C₄	—	2	4	no	—
910	C₂²⋊C₄	—	2	4	no	—
911	C₂²⋊C₄	—	2	4	no	—
912	C₂²⋊C₄	—	2	4	no	—
913	C₂²⋊C₄	—	4	2	no	—
914	C₂²⋊C₄	—	4	2	no	—
915	C₂²⋊C₄	—	4	2	no	—
916	C₂²⋊C₄	—	4	2	no	—
917	C₂²⋊C₄	—	4	2	no	—
918	C₂²⋊C₄	—	4	2	no	—
919	C₂²⋊C₄	—	4	2	no	—
920	C₂²⋊C₄	—	4	2	no	—
921	C₂²⋊C₄	—	4	2	no	—
922	C₂²⋊C₄	—	4	2	no	—
923	C₂²⋊C₄	—	4	2	no	—
924	C₂²⋊C₄	—	4	2	no	—
925	C₂²⋊C₄	#41×C₁₃₉	1	4	yes	—
926	C₄²	—	2	2	no	—
927	C₄²	—	2	2	no	—
928	C₄²	—	2	2	no	—
929	C₄²	—	2	2	no	—
930	C₄²	—	2	2	no	—
931	C₄²	—	2	2	no	—
932	C₄²	—	2	2	no	—
933	C₄²	—	2	2	no	—
934	C₄²	—	2	2	no	—
935	C₄²	—	4	1	no	—
936	C₄²	—	4	1	no	—
937	C₄²	—	4	1	no	—
938	C₄²	—	4	1	no	—
939	C₄²	—	4	2	no	—
940	C₄²	—	4	2	no	—
941	C₂³	—	2	1	no	—
942	C₂³	—	2	1	no	—
943	C₂³	—	2	1	no	—
944	C₂³	—	2	1	no	—
945	C₂³	—	2	1	no	—
946	C₂³	—	2	1	no	—
947	C₂³	—	2	2	no	—
948	C₂³	—	2	2	no	—
949	C₂³	—	2	1	no	—
950	C₂³	—	2	2	no	—
951	C₂³	—	2	2	no	—
952	C₂³	—	2	2	no	—
953	C₂³	—	2	1	no	—
954	C₂³	—	2	1	no	—
955	C₂³	—	2	2	no	—
956	C₂³	—	2	1	no	—
957	C₂³	—	2	2	no	—
958	C₂³	—	2	2	no	—
959	C₂³	—	2	2	no	—
960	C₂³	—	2	2	no	—
961	C₂³	—	2	2	no	—
962	C₂³	—	2	2	no	—
963	C₂³	—	2	2	no	—
964	C₂³	—	4	8	no	—
965	C₂³	—	4	8	no	—
966	C₂³	—	4	8	no	—
967	C₂³	—	4	8	no	—
968	C₂³	—	8	4	no	—
969	C₂³	—	8	4	no	—
970	C₂³	—	8	4	no	—
971	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
972	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
973	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
974	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
975	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
976	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
977	D₄	—	2	8	no	—
978	D₄	—	2	8	no	—
979	D₄	—	4	8	no	—
980	D₄	—	4	8	no	—
981	D₄	—	4	4	no	—
982	D₄	—	8	4	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	2	1	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	1	no	—
988	C₂×C₄	—	2	1	no	—
989	C₂×C₄	—	2	1	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	1	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	8	no	—
996	C₂×C₄	—	2	1	no	—
997	C₂×C₄	—	2	1	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	2	no	—
1010	C₂×C₄	—	2	2	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	1	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	2	1	no	—
1017	C₂×C₄	—	2	1	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	2	no	—
1020	C₂×C₄	—	2	2	no	—
1021	C₂×C₄	—	2	2	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	2	2	no	—
1024	C₂×C₄	—	2	2	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	4	4	no	—
1033	C₂×C₄	—	4	8	no	—
1034	C₂×C₄	—	4	4	no	—
1035	C₂×C₄	—	4	4	no	—
1036	C₂×C₄	—	4	4	no	—
1037	C₂×C₄	—	4	4	no	—
1038	C₂×C₄	—	8	4	no	—
1039	C₂×C₄	—	8	4	no	—
1040	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1041	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1042	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1043	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1044	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1045	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1046	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1047	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1048	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1049	C₂²	—	2	2	no	—
1050	C₂²	—	2	2	no	—
1051	C₂²	—	2	2	no	—
1052	C₂²	—	2	2	no	—
1053	C₂²	—	2	2	no	—
1054	C₂²	—	2	2	no	—
1055	C₂²	—	2	2	no	—
1056	C₂²	—	2	4	no	—
1057	C₂²	—	2	4	no	—
1058	C₂²	—	2	2	no	—
1059	C₂²	—	2	4	no	—
1060	C₂²	—	2	2	no	—
1061	C₂²	—	4	2	no	—
1062	C₂²	—	4	1	no	—
1063	C₂²	—	4	1	no	—
1064	C₂²	—	4	2	no	—
1065	C₂²	—	4	1	no	—
1066	C₂²	—	4	1	no	—
1067	C₂²	—	4	2	no	—
1068	C₂²	—	4	2	no	—
1069	C₂²	—	4	2	no	—
1070	C₂²	—	4	2	no	—
1071	C₂²	—	4	2	no	—
1072	C₂²	—	4	2	no	—
1073	C₂²	—	4	2	no	—
1074	C₂²	—	4	2	no	—
1075	C₂²	—	4	2	no	—
1076	C₂²	—	8	16	no	—
1077	C₂²	#529×C₁₃₉	1	4	yes	—
1078	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1079	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1080	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1081	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1082	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1083	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1084	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1085	C₄	—	2	2	no	—
1086	C₄	—	2	2	no	—
1087	C₄	—	2	2	no	—
1088	C₄	—	2	2	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	2	2	no	—
1091	C₄	—	4	1	no	—
1092	C₄	—	4	2	no	—
1093	C₄	—	4	2	no	—
1094	C₄	—	4	1	no	—
1095	C₄	—	4	2	no	—
1096	C₄	—	4	2	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	1	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	2	no	—
1102	C₄	—	4	2	no	—
1103	C₄	#551×C₁₃₉	1	4	yes	—
1104	C₂	—	2	4	no	—
1105	C₂	—	4	4	no	—
1106	C₂	—	4	2	no	—
1107	C₂	—	8	2	no	—
1108	C₂	C₂×#529×C₁₃₉	1	1	yes	characteristic
1109	C₂	C₂×#551×C₁₃₉	1	1	yes	characteristic
1110	C₂	#3481×C₁₃₉	1	1	yes	characteristic
1111	C₂	#3481×C₁₃₉	1	1	yes	characteristic
1112	C₂	#3508×C₁₃₉	1	1	yes	characteristic
1113	C₂	#3519×C₁₃₉	1	1	yes	characteristic
1114	C₂	#3519×C₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	#2408×C₁₃₉	C₂
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. #2860×C₁₃₉	C₂	semidirect
2. #2854×C₁₃₉	C₂	semidirect
3. #2851×C₁₃₉	C₂	semidirect
4. #2595×C₁₃₉	C₂	semidirect
5. #2516×C₁₃₉	C₂	semidirect
6. #2513×C₁₃₉	C₂	semidirect
7. #2490×C₁₃₉	C₂	semidirect
8. #2487×C₁₃₉	C₂	semidirect
9. #2480×C₁₃₉	C₂	semidirect
10. #2471×C₁₃₉	C₂	semidirect
11. #2467×C₁₃₉	C₂	semidirect
12. #2454×C₁₃₉	C₂	semidirect
13. #2420×C₁₃₉	C₂	semidirect
14. #2418×C₁₃₉	C₂	semidirect
16. #2358×C₁₃₉	C₂	semidirect
17. #2345×C₁₃₉	C₂	semidirect
18. #2342×C₁₃₉	C₂	semidirect
19. D₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
20. C₄×#121×C₁₃₉	C₂	semidirect
21. #2293×C₁₃₉	C₂	semidirect
22. C₂×#390×C₁₃₉	C₂	semidirect
23. C₄²×D₄×C₁₃₉	C₂	semidirect
25. C₂×#126×C₁₃₉	C₂²	semidirect
26. C₂×#125×C₁₃₉	C₂²	semidirect
27. C₂×#123×C₁₃₉	C₂²	semidirect
36. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
37. C₂×#117×C₁₃₉	C₂²	semidirect
43. C₂²×C₄²×C₁₃₉	C₂²	semidirect
44. #400×C₁₃₉	C₂²	semidirect
45. #399×C₁₃₉	C₂²	semidirect
46. #399×C₁₃₉	C₂²	semidirect
47. #397×C₁₃₉	C₂²	semidirect
48. #397×C₁₃₉	C₂²	semidirect
49. #397×C₁₃₉	C₂²	semidirect
50. #397×C₁₃₉	C₂²	semidirect
51. #396×C₁₃₉	C₂²	semidirect
53. #394×C₁₃₉	C₂²	semidirect
54. #394×C₁₃₉	C₂²	semidirect
66. #390×C₁₃₉	C₂²	semidirect
67. #389×C₁₃₉	C₂²	semidirect
68. #389×C₁₃₉	C₂²	semidirect
69. #389×C₁₃₉	C₂²	semidirect
70. #389×C₁₃₉	C₂²	semidirect
71. #389×C₁₃₉	C₂²	semidirect
72. #389×C₁₃₉	C₂²	semidirect
73. #388×C₁₃₉	C₂²	semidirect
74. #388×C₁₃₉	C₂²	semidirect
75. #388×C₁₃₉	C₂²	semidirect
76. #388×C₁₃₉	C₂²	semidirect
77. #388×C₁₃₉	C₂²	semidirect
78. #388×C₁₃₉	C₂²	semidirect
79. #388×C₁₃₉	C₂²	semidirect
80. #388×C₁₃₉	C₂²	semidirect
81. #388×C₁₃₉	C₂²	semidirect
82. #388×C₁₃₉	C₂²	semidirect
83. #388×C₁₃₉	C₂²	semidirect
84. #387×C₁₃₉	C₂²	semidirect
85. #387×C₁₃₉	C₂²	semidirect
86. #387×C₁₃₉	C₂²	semidirect
87. #387×C₁₃₉	C₂²	semidirect
91. #386×C₁₃₉	C₂²	semidirect
92. #386×C₁₃₉	C₂²	semidirect
93. #386×C₁₃₉	C₂²	semidirect
97. #385×C₁₃₉	C₂²	semidirect
98. #382×C₁₃₉	C₂²	semidirect
99. #381×C₁₃₉	C₂²	semidirect
103. #380×C₁₃₉	C₂²	semidirect
104. #380×C₁₃₉	C₂²	semidirect
105. #380×C₁₃₉	C₂²	semidirect
108. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
109. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
110. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
111. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
112. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
117. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
118. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
119. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
120. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
121. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
122. C₄³×C₁₃₉	C₂²	semidirect
557. #36291	C₁₃₉	direct (N × H)
558. C₁₃₉	#36291	direct (N × H)
559. #2860	C₂×C₁₃₉	semidirect
560. #2854	C₂×C₁₃₉	semidirect
561. #2851	C₂×C₁₃₉	semidirect
562. #2595	C₂×C₁₃₉	semidirect
563. #2516	C₂×C₁₃₉	semidirect
564. #2513	C₂×C₁₃₉	semidirect
565. #2490	C₂×C₁₃₉	semidirect
566. #2487	C₂×C₁₃₉	semidirect
567. #2480	C₂×C₁₃₉	semidirect
568. #2471	C₂×C₁₃₉	semidirect
569. #2467	C₂×C₁₃₉	semidirect
570. #2454	C₂×C₁₃₉	semidirect
571. #2420	C₂×C₁₃₉	semidirect
572. #2418	C₂×C₁₃₉	semidirect
574. #2358	C₂×C₁₃₉	semidirect
575. #2345	C₂×C₁₃₉	semidirect
576. #2342	C₂×C₁₃₉	semidirect
577. D₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
578. C₄×#121	C₂×C₁₃₉	semidirect
579. #2293	C₂×C₁₃₉	semidirect
580. C₂×#390	C₂×C₁₃₉	semidirect
581. C₄²×D₄	C₂×C₁₃₉	semidirect
583. C₂×#126	C₂²×C₁₃₉	semidirect
584. C₂×#125	C₂²×C₁₃₉	semidirect
585. C₂×#123	C₂²×C₁₃₉	semidirect
594. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
595. C₂×#117	C₂²×C₁₃₉	semidirect
601. C₂²×C₄²	C₂²×C₁₃₉	semidirect
602. #400	C₂²×C₁₃₉	semidirect
603. #399	C₂²×C₁₃₉	semidirect
604. #399	C₂²×C₁₃₉	semidirect
605. #397	C₂²×C₁₃₉	semidirect
606. #397	C₂²×C₁₃₉	semidirect
607. #397	C₂²×C₁₃₉	semidirect
608. #397	C₂²×C₁₃₉	semidirect
609. #396	C₂²×C₁₃₉	semidirect
611. #394	C₂²×C₁₃₉	semidirect
612. #394	C₂²×C₁₃₉	semidirect
624. #390	C₂²×C₁₃₉	semidirect
625. #389	C₂²×C₁₃₉	semidirect
626. #389	C₂²×C₁₃₉	semidirect
627. #389	C₂²×C₁₃₉	semidirect
628. #389	C₂²×C₁₃₉	semidirect
629. #389	C₂²×C₁₃₉	semidirect
630. #389	C₂²×C₁₃₉	semidirect
631. #388	C₂²×C₁₃₉	semidirect
632. #388	C₂²×C₁₃₉	semidirect
633. #388	C₂²×C₁₃₉	semidirect
634. #388	C₂²×C₁₃₉	semidirect
635. #388	C₂²×C₁₃₉	semidirect
636. #388	C₂²×C₁₃₉	semidirect
637. #388	C₂²×C₁₃₉	semidirect
638. #388	C₂²×C₁₃₉	semidirect
639. #388	C₂²×C₁₃₉	semidirect
640. #388	C₂²×C₁₃₉	semidirect
641. #388	C₂²×C₁₃₉	semidirect
642. #387	C₂²×C₁₃₉	semidirect
643. #387	C₂²×C₁₃₉	semidirect
644. #387	C₂²×C₁₃₉	semidirect
645. #387	C₂²×C₁₃₉	semidirect
649. #386	C₂²×C₁₃₉	semidirect
650. #386	C₂²×C₁₃₉	semidirect
651. #386	C₂²×C₁₃₉	semidirect
655. #385	C₂²×C₁₃₉	semidirect
656. #382	C₂²×C₁₃₉	semidirect
657. #381	C₂²×C₁₃₉	semidirect
661. #380	C₂²×C₁₃₉	semidirect
662. #380	C₂²×C₁₃₉	semidirect
663. #380	C₂²×C₁₃₉	semidirect
666. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
667. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
668. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
669. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
670. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
675. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
676. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
677. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
678. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
679. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
680. C₄³	C₂²×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
#2860×C₁₃₉	2
#2854×C₁₃₉	2
#2851×C₁₃₉	2
#2595×C₁₃₉	2
#2516×C₁₃₉	2
#2513×C₁₃₉	2
#2490×C₁₃₉	2
#2487×C₁₃₉	2
#2480×C₁₃₉	2
#2471×C₁₃₉	2
#2467×C₁₃₉	2
#2454×C₁₃₉	2
#2420×C₁₃₉	2
#2418×C₁₃₉	2
#2408×C₁₃₉	2
#2358×C₁₃₉	2
#2345×C₁₃₉	2
#2342×C₁₃₉	2
D₄×C₂²⋊C₄×C₁₃₉	2
C₄×#121×C₁₃₉	2
#2293×C₁₃₉	2
C₂×#390×C₁₃₉	2
C₄²×D₄×C₁₃₉	2
#36291	139

Subgroups — C139×#36291 #48030887

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36291 #48030887