Subgroups — C₁₃₉×#37198 #48031794

Order 35584.

2102 conjugacy classes of subgroups.

The subgroup lattice has 994 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2855×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#2854×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2808×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2803×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2803×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2800×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2797×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2733×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2727×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2714×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2710×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2682×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2613×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2480×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2472×C₁₃₉	C₂	1	2	yes	maximal, complemented
16	#2424×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2418×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	#2322×C₁₃₉	C₂	1	2	yes	maximal, complemented
19	C₂×#390×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
21	C₂×#126×C₁₃₉	C₂²	1	2	yes	complemented
22	C₂×#124×C₁₃₉	C₂²	1	2	yes	complemented
23	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
24	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
25	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
27	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
28	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
29	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
30	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
31	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
33	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
34	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
35	#399×C₁₃₉	C₂²	1	2	yes	complemented
36	#397×C₁₃₉	C₂²	1	2	yes	complemented
37	#397×C₁₃₉	C₂²	1	2	yes	complemented
38	#397×C₁₃₉	C₂²	1	2	yes	complemented
39	#397×C₁₃₉	C₂²	1	2	yes	complemented
40	#397×C₁₃₉	C₂²	1	2	yes	complemented
41	#396×C₁₃₉	C₂²	1	2	yes	complemented
42	#396×C₁₃₉	C₂²	1	2	yes	complemented
43	#394×C₁₃₉	C₂²	1	2	yes	—
44	#394×C₁₃₉	C₂²	1	2	yes	—
45	#394×C₁₃₉	C₂²	1	2	yes	—
46	#394×C₁₃₉	C₂²	1	2	yes	—
47	#394×C₁₃₉	C₂²	1	2	yes	complemented
48	#394×C₁₃₉	C₂²	1	2	yes	complemented
49	#394×C₁₃₉	C₂²	1	2	yes	complemented
50	#394×C₁₃₉	C₂²	1	2	yes	complemented
51	#394×C₁₃₉	C₂²	1	2	yes	complemented
52	#394×C₁₃₉	C₂²	1	2	yes	complemented
53	#393×C₁₃₉	C₂²	1	2	yes	complemented
54	#392×C₁₃₉	C₂²	1	2	yes	—
55	#392×C₁₃₉	C₂²	1	2	yes	—
56	#392×C₁₃₉	C₂²	1	2	yes	—
57	#392×C₁₃₉	C₂²	1	2	yes	—
58	#392×C₁₃₉	C₂²	1	2	yes	complemented
59	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
60	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
61	#390×C₁₃₉	C₂²	1	1	yes	characteristic
62	#390×C₁₃₉	C₂²	1	2	yes	—
63	#390×C₁₃₉	C₂²	1	1	yes	characteristic
64	#390×C₁₃₉	C₂²	1	2	yes	—
65	#390×C₁₃₉	C₂²	1	1	yes	characteristic
66	#390×C₁₃₉	C₂²	1	1	yes	characteristic
67	#390×C₁₃₉	C₂²	1	2	yes	complemented
68	#390×C₁₃₉	C₂²	1	2	yes	complemented
69	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
70	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
71	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
72	#389×C₁₃₉	C₂²	1	2	yes	complemented
73	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
74	#389×C₁₃₉	C₂²	1	2	yes	complemented
75	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
76	#389×C₁₃₉	C₂²	1	1	yes	characteristic, 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	#388×C₁₃₉	C₂²	1	2	yes	complemented
85	#388×C₁₃₉	C₂²	1	2	yes	complemented
86	#388×C₁₃₉	C₂²	1	2	yes	complemented
87	#388×C₁₃₉	C₂²	1	2	yes	complemented
88	#388×C₁₃₉	C₂²	1	2	yes	complemented
89	#387×C₁₃₉	C₂²	1	2	yes	complemented
90	#387×C₁₃₉	C₂²	1	2	yes	complemented
91	#387×C₁₃₉	C₂²	1	2	yes	complemented
92	#387×C₁₃₉	C₂²	1	2	yes	complemented
93	#386×C₁₃₉	C₂²	1	2	yes	—
94	#386×C₁₃₉	C₂²	1	2	yes	—
95	#386×C₁₃₉	C₂²	1	2	yes	complemented
96	#386×C₁₃₉	C₂²	1	2	yes	complemented
97	#385×C₁₃₉	C₂²	1	2	yes	—
98	#385×C₁₃₉	C₂²	1	2	yes	—
99	#385×C₁₃₉	C₂²	1	2	yes	complemented
100	#385×C₁₃₉	C₂²	1	2	yes	complemented
101	#381×C₁₃₉	C₂²	1	2	yes	—
102	#380×C₁₃₉	C₂²	1	1	yes	characteristic
103	#380×C₁₃₉	C₂²	1	1	yes	characteristic
104	#379×C₁₃₉	C₂²	1	2	yes	—
105	#379×C₁₃₉	C₂²	1	2	yes	—
106	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
107	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
108	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
109	C₂²×D₄×C₁₃₉	—	2	4	no	—
110	C₂²×D₄×C₁₃₉	—	4	2	no	—
111	C₂²×D₄×C₁₃₉	—	4	2	no	—
112	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
113	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
114	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
115	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
116	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
117	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
118	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
119	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
120	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
121	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
122	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
123	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
124	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
125	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
126	#126×C₁₃₉	—	4	4	no	—
127	#124×C₁₃₉	—	4	4	no	—
128	#123×C₁₃₉	—	2	8	no	—
129	#123×C₁₃₉	—	4	4	no	—
130	C₂²⋊Q₈×C₁₃₉	—	4	2	no	—
131	#121×C₁₃₉	—	4	4	no	—
132	#121×C₁₃₉	—	4	2	no	—
133	#120×C₁₃₉	—	4	4	no	—
134	#120×C₁₃₉	—	4	4	no	—
135	C₄×D₄×C₁₃₉	—	4	4	no	—
136	C₂×C₄⋊C₄×C₁₃₉	—	4	2	no	—
137	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
138	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
139	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
140	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
141	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
142	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
143	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
144	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
145	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
146	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
147	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
148	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
149	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
150	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
151	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
152	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
153	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
154	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
155	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
156	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
157	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
158	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
159	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
160	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
161	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
162	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
163	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
164	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
165	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
166	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
167	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
168	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
169	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
170	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
171	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
172	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
173	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
174	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
175	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
176	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	2	yes	—
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×C₄²×C₁₃₉	—	4	2	no	—
188	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
189	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
190	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
191	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
192	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
193	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
195	#95×C₁₃₉	C₂³	1	2	yes	—
196	#95×C₁₃₉	C₂³	1	2	yes	—
197	#95×C₁₃₉	C₂³	1	2	yes	—
198	#95×C₁₃₉	C₂³	1	2	yes	—
199	#95×C₁₃₉	C₂³	1	2	yes	—
200	#95×C₁₃₉	C₂³	1	2	yes	—
201	#95×C₁₃₉	C₂³	1	2	yes	—
202	#95×C₁₃₉	C₂³	1	2	yes	—
203	#95×C₁₃₉	C₂³	1	2	yes	—
204	#95×C₁₃₉	C₂³	1	2	yes	—
205	#95×C₁₃₉	C₂³	1	2	yes	—
206	#95×C₁₃₉	C₂³	1	2	yes	—
207	#95×C₁₃₉	C₂³	1	2	yes	—
208	#95×C₁₃₉	C₂³	1	2	yes	—
209	#95×C₁₃₉	C₂³	1	2	yes	—
210	#95×C₁₃₉	C₂³	1	2	yes	—
211	C₂⁴×C₁₃₉	—	2	4	no	—
212	C₂⁴×C₁₃₉	—	2	4	no	—
213	C₂⁴×C₁₃₉	—	2	4	no	—
214	C₂⁴×C₁₃₉	—	4	2	no	—
215	C₂⁴×C₁₃₉	—	4	2	no	—
216	C₂⁴×C₁₃₉	—	4	2	no	—
217	C₂⁴×C₁₃₉	—	4	2	no	—
218	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
219	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
220	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
221	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
222	C₂×Q₈×C₁₃₉	—	2	2	no	—
223	C₂×Q₈×C₁₃₉	—	4	1	no	—
224	C₂×Q₈×C₁₃₉	—	4	1	no	—
225	C₂×D₄×C₁₃₉	—	2	4	no	—
226	C₂×D₄×C₁₃₉	—	2	4	no	—
227	C₂×D₄×C₁₃₉	—	2	4	no	—
228	C₂×D₄×C₁₃₉	—	2	2	no	—
229	C₂×D₄×C₁₃₉	—	2	4	no	—
230	C₂×D₄×C₁₃₉	—	2	2	no	—
231	C₂×D₄×C₁₃₉	—	2	2	no	—
232	C₂×D₄×C₁₃₉	—	4	1	no	—
233	C₂×D₄×C₁₃₉	—	4	2	no	—
234	C₂×D₄×C₁₃₉	—	4	1	no	—
235	C₂×D₄×C₁₃₉	—	4	1	no	—
236	C₂×D₄×C₁₃₉	—	4	2	no	—
237	C₂×D₄×C₁₃₉	—	4	1	no	—
238	C₂×D₄×C₁₃₉	—	4	16	no	—
239	C₂×D₄×C₁₃₉	—	4	2	no	—
240	C₂×D₄×C₁₃₉	—	4	2	no	—
241	C₂×D₄×C₁₃₉	—	4	2	no	—
242	C₂×D₄×C₁₃₉	—	4	2	no	—
243	C₂×D₄×C₁₃₉	—	4	1	no	—
244	C₂×D₄×C₁₃₉	—	4	2	no	—
245	C₂×D₄×C₁₃₉	—	4	2	no	—
246	C₂×D₄×C₁₃₉	—	4	2	no	—
247	C₂×D₄×C₁₃₉	—	4	2	no	—
248	C₂×D₄×C₁₃₉	—	4	1	no	—
249	C₂×D₄×C₁₃₉	—	4	2	no	—
250	C₂×D₄×C₁₃₉	—	4	2	no	—
251	C₂×D₄×C₁₃₉	—	4	2	no	—
252	C₂×D₄×C₁₃₉	—	4	2	no	—
253	C₂²×C₄×C₁₃₉	—	2	2	no	—
254	C₂²×C₄×C₁₃₉	—	2	2	no	—
255	C₂²×C₄×C₁₃₉	—	2	2	no	—
256	C₂²×C₄×C₁₃₉	—	2	2	no	—
257	C₂²×C₄×C₁₃₉	—	2	4	no	—
258	C₂²×C₄×C₁₃₉	—	2	2	no	—
259	C₂²×C₄×C₁₃₉	—	2	2	no	—
260	C₂²×C₄×C₁₃₉	—	4	1	no	—
261	C₂²×C₄×C₁₃₉	—	4	1	no	—
262	C₂²×C₄×C₁₃₉	—	4	2	no	—
263	C₂²×C₄×C₁₃₉	—	4	2	no	—
264	C₂²×C₄×C₁₃₉	—	4	2	no	—
265	C₂²×C₄×C₁₃₉	—	4	2	no	—
266	C₂²×C₄×C₁₃₉	—	4	2	no	—
267	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
268	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
269	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
270	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
271	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
272	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
273	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
274	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
275	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
276	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
277	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
278	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
279	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
280	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
281	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
282	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
283	C₄⋊C₄×C₁₃₉	—	2	4	no	—
284	C₄⋊C₄×C₁₃₉	—	2	4	no	—
285	C₄⋊C₄×C₁₃₉	—	2	4	no	—
286	C₄⋊C₄×C₁₃₉	—	2	2	no	—
287	C₄⋊C₄×C₁₃₉	—	2	2	no	—
288	C₄⋊C₄×C₁₃₉	—	4	1	no	—
289	C₄⋊C₄×C₁₃₉	—	4	2	no	—
290	C₄⋊C₄×C₁₃₉	—	4	1	no	—
291	C₄⋊C₄×C₁₃₉	—	4	1	no	—
292	C₄⋊C₄×C₁₃₉	—	4	1	no	—
293	C₄⋊C₄×C₁₃₉	—	4	2	no	—
294	C₄⋊C₄×C₁₃₉	—	4	2	no	—
295	C₄⋊C₄×C₁₃₉	—	4	1	no	—
296	C₄⋊C₄×C₁₃₉	—	4	1	no	—
297	C₄⋊C₄×C₁₃₉	—	4	2	no	—
298	C₄⋊C₄×C₁₃₉	—	4	2	no	—
299	C₄⋊C₄×C₁₃₉	—	4	2	no	—
300	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
301	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
302	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
303	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
304	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
305	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
306	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
307	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
308	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
309	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
310	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
311	C₂²⋊C₄×C₁₃₉	—	4	2	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	—	4	2	no	—
321	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
322	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
323	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
324	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
325	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
326	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
327	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
328	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
329	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
330	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
331	C₄²×C₁₃₉	—	4	1	no	—
332	C₄²×C₁₃₉	—	4	1	no	—
333	C₄²×C₁₃₉	—	4	1	no	—
334	C₄²×C₁₃₉	—	4	1	no	—
335	C₄²×C₁₃₉	—	4	2	no	—
336	C₄²×C₁₃₉	—	4	2	no	—
337	C₄²×C₁₃₉	—	4	2	no	—
338	C₂³×C₁₃₉	—	2	1	no	—
339	C₂³×C₁₃₉	—	2	1	no	—
340	C₂³×C₁₃₉	—	2	1	no	—
341	C₂³×C₁₃₉	—	2	1	no	—
342	C₂³×C₁₃₉	—	2	2	no	—
343	C₂³×C₁₃₉	—	2	2	no	—
344	C₂³×C₁₃₉	—	2	2	no	—
345	C₂³×C₁₃₉	—	2	2	no	—
346	C₂³×C₁₃₉	—	2	2	no	—
347	C₂³×C₁₃₉	—	2	2	no	—
348	C₂³×C₁₃₉	—	2	2	no	—
349	C₂³×C₁₃₉	—	2	2	no	—
350	C₂³×C₁₃₉	—	2	2	no	—
351	C₂³×C₁₃₉	—	2	2	no	—
352	C₂³×C₁₃₉	—	2	2	no	—
353	C₂³×C₁₃₉	—	2	2	no	—
354	C₂³×C₁₃₉	—	2	2	no	—
355	C₂³×C₁₃₉	—	2	2	no	—
356	C₂³×C₁₃₉	—	2	2	no	—
357	C₂³×C₁₃₉	—	2	2	no	—
358	C₂³×C₁₃₉	—	2	2	no	—
359	C₂³×C₁₃₉	—	2	2	no	—
360	C₂³×C₁₃₉	—	2	2	no	—
361	C₂³×C₁₃₉	—	2	2	no	—
362	C₂³×C₁₃₉	—	2	2	no	—
363	C₂³×C₁₃₉	—	4	8	no	—
364	C₂³×C₁₃₉	—	4	8	no	—
365	C₂³×C₁₃₉	—	4	8	no	—
366	C₂³×C₁₃₉	—	8	4	no	—
367	C₂³×C₁₃₉	—	8	4	no	—
368	C₂³×C₁₃₉	—	8	4	no	—
369	C₂³×C₁₃₉	—	8	4	no	—
370	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
371	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
372	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
373	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
374	Q₈×C₁₃₉	—	8	2	no	—
375	D₄×C₁₃₉	—	4	4	no	—
376	D₄×C₁₃₉	—	4	8	no	—
377	D₄×C₁₃₉	—	4	4	no	—
378	D₄×C₁₃₉	—	4	8	no	—
379	D₄×C₁₃₉	—	8	2	no	—
380	D₄×C₁₃₉	—	8	4	no	—
381	D₄×C₁₃₉	—	8	4	no	—
382	D₄×C₁₃₉	—	8	4	no	—
383	D₄×C₁₃₉	—	8	4	no	—
384	C₂×C₄×C₁₃₉	—	2	8	no	—
385	C₂×C₄×C₁₃₉	—	2	1	no	—
386	C₂×C₄×C₁₃₉	—	2	1	no	—
387	C₂×C₄×C₁₃₉	—	2	1	no	—
388	C₂×C₄×C₁₃₉	—	2	1	no	—
389	C₂×C₄×C₁₃₉	—	2	1	no	—
390	C₂×C₄×C₁₃₉	—	2	1	no	—
391	C₂×C₄×C₁₃₉	—	2	1	no	—
392	C₂×C₄×C₁₃₉	—	2	1	no	—
393	C₂×C₄×C₁₃₉	—	2	2	no	—
394	C₂×C₄×C₁₃₉	—	2	2	no	—
395	C₂×C₄×C₁₃₉	—	2	2	no	—
396	C₂×C₄×C₁₃₉	—	2	1	no	—
397	C₂×C₄×C₁₃₉	—	2	1	no	—
398	C₂×C₄×C₁₃₉	—	2	2	no	—
399	C₂×C₄×C₁₃₉	—	2	2	no	—
400	C₂×C₄×C₁₃₉	—	2	2	no	—
401	C₂×C₄×C₁₃₉	—	2	2	no	—
402	C₂×C₄×C₁₃₉	—	2	2	no	—
403	C₂×C₄×C₁₃₉	—	2	2	no	—
404	C₂×C₄×C₁₃₉	—	2	2	no	—
405	C₂×C₄×C₁₃₉	—	2	2	no	—
406	C₂×C₄×C₁₃₉	—	2	2	no	—
407	C₂×C₄×C₁₃₉	—	2	2	no	—
408	C₂×C₄×C₁₃₉	—	2	2	no	—
409	C₂×C₄×C₁₃₉	—	2	2	no	—
410	C₂×C₄×C₁₃₉	—	2	2	no	—
411	C₂×C₄×C₁₃₉	—	2	2	no	—
412	C₂×C₄×C₁₃₉	—	2	1	no	—
413	C₂×C₄×C₁₃₉	—	2	1	no	—
414	C₂×C₄×C₁₃₉	—	2	2	no	—
415	C₂×C₄×C₁₃₉	—	2	2	no	—
416	C₂×C₄×C₁₃₉	—	2	2	no	—
417	C₂×C₄×C₁₃₉	—	2	2	no	—
418	C₂×C₄×C₁₃₉	—	2	2	no	—
419	C₂×C₄×C₁₃₉	—	2	2	no	—
420	C₂×C₄×C₁₃₉	—	2	1	no	—
421	C₂×C₄×C₁₃₉	—	2	2	no	—
422	C₂×C₄×C₁₃₉	—	2	2	no	—
423	C₂×C₄×C₁₃₉	—	2	2	no	—
424	C₂×C₄×C₁₃₉	—	2	2	no	—
425	C₂×C₄×C₁₃₉	—	2	1	no	—
426	C₂×C₄×C₁₃₉	—	4	4	no	—
427	C₂×C₄×C₁₃₉	—	4	4	no	—
428	C₂×C₄×C₁₃₉	—	8	4	no	—
429	C₂×C₄×C₁₃₉	—	8	4	no	—
430	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
431	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
432	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
433	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
434	C₂²×C₁₃₉	—	2	2	no	—
435	C₂²×C₁₃₉	—	2	2	no	—
436	C₂²×C₁₃₉	—	2	2	no	—
437	C₂²×C₁₃₉	—	2	2	no	—
438	C₂²×C₁₃₉	—	2	2	no	—
439	C₂²×C₁₃₉	—	2	2	no	—
440	C₂²×C₁₃₉	—	4	2	no	—
441	C₂²×C₁₃₉	—	4	2	no	—
442	C₂²×C₁₃₉	—	4	2	no	—
443	C₂²×C₁₃₉	—	4	2	no	—
444	C₂²×C₁₃₉	—	4	2	no	—
445	C₂²×C₁₃₉	—	4	2	no	—
446	C₂²×C₁₃₉	—	4	2	no	—
447	C₂²×C₁₃₉	—	4	2	no	—
448	C₂²×C₁₃₉	—	4	2	no	—
449	C₂²×C₁₃₉	—	4	2	no	—
450	C₂²×C₁₃₉	—	4	2	no	—
451	C₂²×C₁₃₉	—	4	2	no	—
452	C₂²×C₁₃₉	—	4	2	no	—
453	C₂²×C₁₃₉	—	4	2	no	—
454	C₂²×C₁₃₉	—	4	2	no	—
455	C₂²×C₁₃₉	—	4	2	no	—
456	C₂²×C₁₃₉	—	4	2	no	—
457	C₂²×C₁₃₉	—	4	2	no	—
458	C₂²×C₁₃₉	—	4	2	no	—
459	C₂²×C₁₃₉	—	4	2	no	—
460	C₂²×C₁₃₉	—	4	2	no	—
461	C₂²×C₁₃₉	—	8	16	no	—
462	C₂²×C₁₃₉	#538	1	4	yes	—
463	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
464	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
465	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
466	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
467	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
468	C₂²×C₁₃₉	#585	1	1	yes	characteristic
469	C₂²×C₁₃₉	#585	1	1	yes	characteristic
470	C₄×C₁₃₉	—	2	2	no	—
471	C₄×C₁₃₉	—	2	2	no	—
472	C₄×C₁₃₉	—	2	2	no	—
473	C₄×C₁₃₉	—	2	2	no	—
474	C₄×C₁₃₉	—	4	2	no	—
475	C₄×C₁₃₉	—	4	2	no	—
476	C₄×C₁₃₉	—	4	2	no	—
477	C₄×C₁₃₉	—	4	1	no	—
478	C₄×C₁₃₉	—	4	1	no	—
479	C₄×C₁₃₉	—	4	2	no	—
480	C₄×C₁₃₉	—	4	2	no	—
481	C₄×C₁₃₉	—	4	2	no	—
482	C₄×C₁₃₉	—	4	2	no	—
483	C₄×C₁₃₉	—	4	2	no	—
484	C₄×C₁₃₉	—	4	2	no	—
485	C₂×C₁₃₉	—	2	4	no	—
486	C₂×C₁₃₉	—	8	2	no	—
487	C₂×C₁₃₉	—	8	2	no	—
488	C₂×C₁₃₉	—	8	2	no	—
489	C₂×C₁₃₉	C₂×#538	1	1	yes	characteristic
490	C₂×C₁₃₉	#3506	1	1	yes	characteristic
491	C₂×C₁₃₉	#3506	1	1	yes	characteristic
492	C₂×C₁₃₉	#3534	1	1	yes	characteristic
493	C₂×C₁₃₉	#3534	1	1	yes	characteristic
494	C₂×C₁₃₉	#3543	1	1	yes	characteristic
495	C₂×C₁₃₉	#3545	1	1	yes	characteristic
496	#37198	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
497	C₁₃₉	#37198	1	1	yes	characteristic, direct product factor, Sylow
498	#2855	C₂×C₁₃₉	1	1	yes	characteristic, complemented
499	#2854	C₂×C₁₃₉	1	1	yes	characteristic, complemented
500	#2808	C₂×C₁₃₉	1	1	yes	characteristic, complemented
501	#2803	C₂×C₁₃₉	1	2	yes	complemented
502	#2803	C₂×C₁₃₉	1	2	yes	complemented
503	#2800	C₂×C₁₃₉	1	2	yes	complemented
504	#2797	C₂×C₁₃₉	1	2	yes	complemented
505	#2733	C₂×C₁₃₉	1	1	yes	characteristic, complemented
506	#2727	C₂×C₁₃₉	1	1	yes	characteristic, complemented
507	#2714	C₂×C₁₃₉	1	2	yes	complemented
508	#2710	C₂×C₁₃₉	1	2	yes	complemented
509	#2682	C₂×C₁₃₉	1	1	yes	characteristic, complemented
510	#2613	C₂×C₁₃₉	1	2	yes	complemented
511	#2480	C₂×C₁₃₉	1	2	yes	complemented
512	#2472	C₂×C₁₃₉	1	2	yes	complemented
513	#2424	C₂×C₁₃₉	1	2	yes	complemented
514	#2418	C₂×C₁₃₉	1	2	yes	complemented
515	#2322	C₂×C₁₃₉	1	2	yes	complemented
516	C₂×#390	C₂×C₁₃₉	1	1	yes	characteristic, complemented
517	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
518	C₂×#126	C₂²×C₁₃₉	1	2	yes	complemented
519	C₂×#124	C₂²×C₁₃₉	1	2	yes	complemented
520	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
521	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
522	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
523	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
524	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
525	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
526	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
527	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
528	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
529	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
530	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
531	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
532	#399	C₂²×C₁₃₉	1	2	yes	complemented
533	#397	C₂²×C₁₃₉	1	2	yes	complemented
534	#397	C₂²×C₁₃₉	1	2	yes	complemented
535	#397	C₂²×C₁₃₉	1	2	yes	complemented
536	#397	C₂²×C₁₃₉	1	2	yes	complemented
537	#397	C₂²×C₁₃₉	1	2	yes	complemented
538	#396	C₂²×C₁₃₉	1	2	yes	complemented
539	#396	C₂²×C₁₃₉	1	2	yes	complemented
540	#394	C₂²×C₁₃₉	1	2	yes	—
541	#394	C₂²×C₁₃₉	1	2	yes	—
542	#394	C₂²×C₁₃₉	1	2	yes	—
543	#394	C₂²×C₁₃₉	1	2	yes	—
544	#394	C₂²×C₁₃₉	1	2	yes	complemented
545	#394	C₂²×C₁₃₉	1	2	yes	complemented
546	#394	C₂²×C₁₃₉	1	2	yes	complemented
547	#394	C₂²×C₁₃₉	1	2	yes	complemented
548	#394	C₂²×C₁₃₉	1	2	yes	complemented
549	#394	C₂²×C₁₃₉	1	2	yes	complemented
550	#393	C₂²×C₁₃₉	1	2	yes	complemented
551	#392	C₂²×C₁₃₉	1	2	yes	—
552	#392	C₂²×C₁₃₉	1	2	yes	—
553	#392	C₂²×C₁₃₉	1	2	yes	—
554	#392	C₂²×C₁₃₉	1	2	yes	—
555	#392	C₂²×C₁₃₉	1	2	yes	complemented
556	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
557	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
558	#390	C₂²×C₁₃₉	1	1	yes	characteristic
559	#390	C₂²×C₁₃₉	1	2	yes	—
560	#390	C₂²×C₁₃₉	1	2	yes	—
561	#390	C₂²×C₁₃₉	1	1	yes	characteristic
562	#390	C₂²×C₁₃₉	1	1	yes	characteristic
563	#390	C₂²×C₁₃₉	1	1	yes	characteristic
564	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
565	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
566	#390	C₂²×C₁₃₉	1	2	yes	complemented
567	#390	C₂²×C₁₃₉	1	2	yes	complemented
568	#389	C₂²×C₁₃₉	1	2	yes	complemented
569	#389	C₂²×C₁₃₉	1	2	yes	complemented
570	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
571	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
572	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
573	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
574	#388	C₂²×C₁₃₉	1	2	yes	complemented
575	#388	C₂²×C₁₃₉	1	2	yes	complemented
576	#388	C₂²×C₁₃₉	1	2	yes	complemented
577	#388	C₂²×C₁₃₉	1	2	yes	complemented
578	#388	C₂²×C₁₃₉	1	2	yes	complemented
579	#388	C₂²×C₁₃₉	1	2	yes	complemented
580	#388	C₂²×C₁₃₉	1	2	yes	complemented
581	#388	C₂²×C₁₃₉	1	2	yes	complemented
582	#388	C₂²×C₁₃₉	1	2	yes	complemented
583	#388	C₂²×C₁₃₉	1	2	yes	complemented
584	#388	C₂²×C₁₃₉	1	2	yes	complemented
585	#388	C₂²×C₁₃₉	1	2	yes	complemented
586	#387	C₂²×C₁₃₉	1	2	yes	complemented
587	#387	C₂²×C₁₃₉	1	2	yes	complemented
588	#387	C₂²×C₁₃₉	1	2	yes	complemented
589	#387	C₂²×C₁₃₉	1	2	yes	complemented
590	#386	C₂²×C₁₃₉	1	2	yes	—
591	#386	C₂²×C₁₃₉	1	2	yes	—
592	#386	C₂²×C₁₃₉	1	2	yes	complemented
593	#386	C₂²×C₁₃₉	1	2	yes	complemented
594	#385	C₂²×C₁₃₉	1	2	yes	—
595	#385	C₂²×C₁₃₉	1	2	yes	—
596	#385	C₂²×C₁₃₉	1	2	yes	complemented
597	#385	C₂²×C₁₃₉	1	2	yes	complemented
598	#381	C₂²×C₁₃₉	1	2	yes	—
599	#380	C₂²×C₁₃₉	1	1	yes	characteristic
600	#380	C₂²×C₁₃₉	1	1	yes	characteristic
601	#379	C₂²×C₁₃₉	1	2	yes	—
602	#379	C₂²×C₁₃₉	1	2	yes	—
603	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
604	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
605	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
606	C₂²×D₄	—	2	4	no	—
607	C₂²×D₄	—	4	2	no	—
608	C₂²×D₄	—	4	2	no	—
609	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
610	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
611	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
612	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
613	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
614	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
615	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
616	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
617	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
618	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
619	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
620	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
621	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
622	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
623	#126	—	4	4	no	—
624	#124	—	4	4	no	—
625	#123	—	2	8	no	—
626	#123	—	4	4	no	—
627	C₂²⋊Q₈	—	4	2	no	—
628	#121	—	4	4	no	—
629	#121	—	4	2	no	—
630	#120	—	4	4	no	—
631	#120	—	4	4	no	—
632	C₄×D₄	—	4	4	no	—
633	C₂×C₄⋊C₄	—	4	2	no	—
634	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
635	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
636	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
637	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
638	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
639	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
640	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
641	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
643	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
645	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
647	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
648	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
649	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
650	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
651	C₂×C₂²⋊C₄	—	4	4	no	—
652	C₂×C₂²⋊C₄	—	4	4	no	—
653	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
654	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
655	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
656	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
657	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
658	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
659	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
660	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
661	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
662	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
663	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
664	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
665	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
666	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
667	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
668	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
669	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
670	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
671	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
672	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
673	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
674	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
675	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
676	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
677	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
678	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
679	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
680	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
681	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
682	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
683	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
684	C₂×C₄²	—	4	2	no	—
685	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
686	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
687	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
688	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
689	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
690	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
691	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
692	#95	C₂³×C₁₃₉	1	2	yes	—
693	#95	C₂³×C₁₃₉	1	2	yes	—
694	#95	C₂³×C₁₃₉	1	2	yes	—
695	#95	C₂³×C₁₃₉	1	2	yes	—
696	#95	C₂³×C₁₃₉	1	2	yes	—
697	#95	C₂³×C₁₃₉	1	2	yes	—
698	#95	C₂³×C₁₃₉	1	2	yes	—
699	#95	C₂³×C₁₃₉	1	2	yes	—
700	#95	C₂³×C₁₃₉	1	2	yes	—
701	#95	C₂³×C₁₃₉	1	2	yes	—
702	#95	C₂³×C₁₃₉	1	2	yes	—
703	#95	C₂³×C₁₃₉	1	2	yes	—
704	#95	C₂³×C₁₃₉	1	2	yes	—
705	#95	C₂³×C₁₃₉	1	2	yes	—
706	#95	C₂³×C₁₃₉	1	2	yes	—
707	#95	C₂³×C₁₃₉	1	2	yes	—
708	C₂⁴	—	2	4	no	—
709	C₂⁴	—	2	4	no	—
710	C₂⁴	—	2	4	no	—
711	C₂⁴	—	4	2	no	—
712	C₂⁴	—	4	2	no	—
713	C₂⁴	—	4	2	no	—
714	C₂⁴	—	4	2	no	—
715	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
716	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
717	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
718	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
719	C₂×Q₈	—	2	2	no	—
720	C₂×Q₈	—	4	1	no	—
721	C₂×Q₈	—	4	1	no	—
722	C₂×D₄	—	2	4	no	—
723	C₂×D₄	—	2	4	no	—
724	C₂×D₄	—	2	4	no	—
725	C₂×D₄	—	2	2	no	—
726	C₂×D₄	—	2	4	no	—
727	C₂×D₄	—	2	2	no	—
728	C₂×D₄	—	2	2	no	—
729	C₂×D₄	—	4	1	no	—
730	C₂×D₄	—	4	2	no	—
731	C₂×D₄	—	4	1	no	—
732	C₂×D₄	—	4	1	no	—
733	C₂×D₄	—	4	2	no	—
734	C₂×D₄	—	4	1	no	—
735	C₂×D₄	—	4	16	no	—
736	C₂×D₄	—	4	2	no	—
737	C₂×D₄	—	4	2	no	—
738	C₂×D₄	—	4	2	no	—
739	C₂×D₄	—	4	2	no	—
740	C₂×D₄	—	4	1	no	—
741	C₂×D₄	—	4	2	no	—
742	C₂×D₄	—	4	2	no	—
743	C₂×D₄	—	4	2	no	—
744	C₂×D₄	—	4	2	no	—
745	C₂×D₄	—	4	1	no	—
746	C₂×D₄	—	4	2	no	—
747	C₂×D₄	—	4	2	no	—
748	C₂×D₄	—	4	2	no	—
749	C₂×D₄	—	4	2	no	—
750	C₂²×C₄	—	2	2	no	—
751	C₂²×C₄	—	2	2	no	—
752	C₂²×C₄	—	2	2	no	—
753	C₂²×C₄	—	2	2	no	—
754	C₂²×C₄	—	2	4	no	—
755	C₂²×C₄	—	2	2	no	—
756	C₂²×C₄	—	2	2	no	—
757	C₂²×C₄	—	4	1	no	—
758	C₂²×C₄	—	4	1	no	—
759	C₂²×C₄	—	4	2	no	—
760	C₂²×C₄	—	4	2	no	—
761	C₂²×C₄	—	4	2	no	—
762	C₂²×C₄	—	4	2	no	—
763	C₂²×C₄	—	4	2	no	—
764	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
765	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
766	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
767	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
768	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
769	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
770	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
771	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
772	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
773	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
774	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
775	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
776	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
777	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
778	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
779	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
780	C₄⋊C₄	—	2	4	no	—
781	C₄⋊C₄	—	2	4	no	—
782	C₄⋊C₄	—	2	4	no	—
783	C₄⋊C₄	—	2	2	no	—
784	C₄⋊C₄	—	2	2	no	—
785	C₄⋊C₄	—	4	1	no	—
786	C₄⋊C₄	—	4	2	no	—
787	C₄⋊C₄	—	4	1	no	—
788	C₄⋊C₄	—	4	1	no	—
789	C₄⋊C₄	—	4	1	no	—
790	C₄⋊C₄	—	4	2	no	—
791	C₄⋊C₄	—	4	2	no	—
792	C₄⋊C₄	—	4	1	no	—
793	C₄⋊C₄	—	4	1	no	—
794	C₄⋊C₄	—	4	2	no	—
795	C₄⋊C₄	—	4	2	no	—
796	C₄⋊C₄	—	4	2	no	—
797	C₂²⋊C₄	—	2	4	no	—
798	C₂²⋊C₄	—	2	4	no	—
799	C₂²⋊C₄	—	2	4	no	—
800	C₂²⋊C₄	—	2	4	no	—
801	C₂²⋊C₄	—	2	4	no	—
802	C₂²⋊C₄	—	2	4	no	—
803	C₂²⋊C₄	—	2	4	no	—
804	C₂²⋊C₄	—	2	4	no	—
805	C₂²⋊C₄	—	2	4	no	—
806	C₂²⋊C₄	—	2	4	no	—
807	C₂²⋊C₄	—	4	2	no	—
808	C₂²⋊C₄	—	4	2	no	—
809	C₂²⋊C₄	—	4	2	no	—
810	C₂²⋊C₄	—	4	2	no	—
811	C₂²⋊C₄	—	4	2	no	—
812	C₂²⋊C₄	—	4	2	no	—
813	C₂²⋊C₄	—	4	2	no	—
814	C₂²⋊C₄	—	4	2	no	—
815	C₂²⋊C₄	—	4	2	no	—
816	C₂²⋊C₄	—	4	2	no	—
817	C₂²⋊C₄	—	4	2	no	—
818	C₂²⋊C₄	—	4	2	no	—
819	C₂²⋊C₄	—	4	2	no	—
820	C₂²⋊C₄	—	4	2	no	—
821	C₂²⋊C₄	—	4	2	no	—
822	C₂²⋊C₄	—	4	2	no	—
823	C₂²⋊C₄	—	4	2	no	—
824	C₂²⋊C₄	—	4	2	no	—
825	C₂²⋊C₄	—	4	2	no	—
826	C₂²⋊C₄	—	4	2	no	—
827	C₂²⋊C₄	—	4	2	no	—
828	C₄²	—	4	1	no	—
829	C₄²	—	4	1	no	—
830	C₄²	—	4	1	no	—
831	C₄²	—	4	1	no	—
832	C₄²	—	4	2	no	—
833	C₄²	—	4	2	no	—
834	C₄²	—	4	2	no	—
835	C₂³	—	2	1	no	—
836	C₂³	—	2	1	no	—
837	C₂³	—	2	1	no	—
838	C₂³	—	2	1	no	—
839	C₂³	—	2	2	no	—
840	C₂³	—	2	2	no	—
841	C₂³	—	2	2	no	—
842	C₂³	—	2	2	no	—
843	C₂³	—	2	2	no	—
844	C₂³	—	2	2	no	—
845	C₂³	—	2	2	no	—
846	C₂³	—	2	2	no	—
847	C₂³	—	2	2	no	—
848	C₂³	—	2	2	no	—
849	C₂³	—	2	2	no	—
850	C₂³	—	2	2	no	—
851	C₂³	—	2	2	no	—
852	C₂³	—	2	2	no	—
853	C₂³	—	2	2	no	—
854	C₂³	—	2	2	no	—
855	C₂³	—	2	2	no	—
856	C₂³	—	2	2	no	—
857	C₂³	—	2	2	no	—
858	C₂³	—	2	2	no	—
859	C₂³	—	2	2	no	—
860	C₂³	—	4	8	no	—
861	C₂³	—	4	8	no	—
862	C₂³	—	4	8	no	—
863	C₂³	—	8	4	no	—
864	C₂³	—	8	4	no	—
865	C₂³	—	8	4	no	—
866	C₂³	—	8	4	no	—
867	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
868	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
869	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
870	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
871	Q₈	—	8	2	no	—
872	D₄	—	4	4	no	—
873	D₄	—	4	8	no	—
874	D₄	—	4	4	no	—
875	D₄	—	4	8	no	—
876	D₄	—	8	2	no	—
877	D₄	—	8	4	no	—
878	D₄	—	8	4	no	—
879	D₄	—	8	4	no	—
880	D₄	—	8	4	no	—
881	C₂×C₄	—	2	8	no	—
882	C₂×C₄	—	2	1	no	—
883	C₂×C₄	—	2	1	no	—
884	C₂×C₄	—	2	1	no	—
885	C₂×C₄	—	2	1	no	—
886	C₂×C₄	—	2	1	no	—
887	C₂×C₄	—	2	1	no	—
888	C₂×C₄	—	2	1	no	—
889	C₂×C₄	—	2	1	no	—
890	C₂×C₄	—	2	2	no	—
891	C₂×C₄	—	2	2	no	—
892	C₂×C₄	—	2	2	no	—
893	C₂×C₄	—	2	1	no	—
894	C₂×C₄	—	2	1	no	—
895	C₂×C₄	—	2	2	no	—
896	C₂×C₄	—	2	2	no	—
897	C₂×C₄	—	2	2	no	—
898	C₂×C₄	—	2	2	no	—
899	C₂×C₄	—	2	2	no	—
900	C₂×C₄	—	2	2	no	—
901	C₂×C₄	—	2	2	no	—
902	C₂×C₄	—	2	2	no	—
903	C₂×C₄	—	2	2	no	—
904	C₂×C₄	—	2	2	no	—
905	C₂×C₄	—	2	2	no	—
906	C₂×C₄	—	2	2	no	—
907	C₂×C₄	—	2	2	no	—
908	C₂×C₄	—	2	2	no	—
909	C₂×C₄	—	2	1	no	—
910	C₂×C₄	—	2	1	no	—
911	C₂×C₄	—	2	2	no	—
912	C₂×C₄	—	2	2	no	—
913	C₂×C₄	—	2	2	no	—
914	C₂×C₄	—	2	2	no	—
915	C₂×C₄	—	2	2	no	—
916	C₂×C₄	—	2	2	no	—
917	C₂×C₄	—	2	1	no	—
918	C₂×C₄	—	2	2	no	—
919	C₂×C₄	—	2	2	no	—
920	C₂×C₄	—	2	2	no	—
921	C₂×C₄	—	2	2	no	—
922	C₂×C₄	—	2	1	no	—
923	C₂×C₄	—	4	4	no	—
924	C₂×C₄	—	4	4	no	—
925	C₂×C₄	—	8	4	no	—
926	C₂×C₄	—	8	4	no	—
927	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
928	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
929	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
930	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
931	C₂²	—	2	2	no	—
932	C₂²	—	2	2	no	—
933	C₂²	—	2	2	no	—
934	C₂²	—	2	2	no	—
935	C₂²	—	2	2	no	—
936	C₂²	—	2	2	no	—
937	C₂²	—	4	2	no	—
938	C₂²	—	4	2	no	—
939	C₂²	—	4	2	no	—
940	C₂²	—	4	2	no	—
941	C₂²	—	4	2	no	—
942	C₂²	—	4	2	no	—
943	C₂²	—	4	2	no	—
944	C₂²	—	4	2	no	—
945	C₂²	—	4	2	no	—
946	C₂²	—	4	2	no	—
947	C₂²	—	4	2	no	—
948	C₂²	—	4	2	no	—
949	C₂²	—	4	2	no	—
950	C₂²	—	4	2	no	—
951	C₂²	—	4	2	no	—
952	C₂²	—	4	2	no	—
953	C₂²	—	4	2	no	—
954	C₂²	—	4	2	no	—
955	C₂²	—	4	2	no	—
956	C₂²	—	4	2	no	—
957	C₂²	—	4	2	no	—
958	C₂²	—	8	16	no	—
959	C₂²	#538×C₁₃₉	1	4	yes	—
960	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
961	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
962	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
963	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
964	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
965	C₂²	#585×C₁₃₉	1	1	yes	characteristic
966	C₂²	#585×C₁₃₉	1	1	yes	characteristic
967	C₄	—	2	2	no	—
968	C₄	—	2	2	no	—
969	C₄	—	2	2	no	—
970	C₄	—	2	2	no	—
971	C₄	—	4	1	no	—
972	C₄	—	4	1	no	—
973	C₄	—	4	2	no	—
974	C₄	—	4	2	no	—
975	C₄	—	4	2	no	—
976	C₄	—	4	2	no	—
977	C₄	—	4	2	no	—
978	C₄	—	4	2	no	—
979	C₄	—	4	2	no	—
980	C₄	—	4	2	no	—
981	C₄	—	4	2	no	—
982	C₂	—	2	4	no	—
983	C₂	—	8	2	no	—
984	C₂	—	8	2	no	—
985	C₂	—	8	2	no	—
986	C₂	C₂×#538×C₁₃₉	1	1	yes	characteristic
987	C₂	#3506×C₁₃₉	1	1	yes	characteristic
988	C₂	#3506×C₁₃₉	1	1	yes	characteristic
989	C₂	#3534×C₁₃₉	1	1	yes	characteristic
990	C₂	#3534×C₁₃₉	1	1	yes	characteristic
991	C₂	#3543×C₁₃₉	1	1	yes	characteristic
992	C₂	#3545×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. #2855×C₁₃₉	C₂	semidirect
2. #2854×C₁₃₉	C₂	semidirect
3. #2808×C₁₃₉	C₂	semidirect
4. #2803×C₁₃₉	C₂	semidirect
5. #2803×C₁₃₉	C₂	semidirect
6. #2800×C₁₃₉	C₂	semidirect
7. #2797×C₁₃₉	C₂	semidirect
8. #2733×C₁₃₉	C₂	semidirect
9. #2727×C₁₃₉	C₂	semidirect
10. #2714×C₁₃₉	C₂	semidirect
11. #2710×C₁₃₉	C₂	semidirect
12. #2682×C₁₃₉	C₂	semidirect
13. #2613×C₁₃₉	C₂	semidirect
14. #2480×C₁₃₉	C₂	semidirect
15. #2472×C₁₃₉	C₂	semidirect
16. #2424×C₁₃₉	C₂	semidirect
17. #2418×C₁₃₉	C₂	semidirect
18. #2322×C₁₃₉	C₂	semidirect
19. C₂×#390×C₁₃₉	C₂	semidirect
21. C₂×#126×C₁₃₉	C₂²	semidirect
22. C₂×#124×C₁₃₉	C₂²	semidirect
24. C₂×#123×C₁₃₉	C₂²	semidirect
27. C₂×#121×C₁₃₉	C₂²	semidirect
35. #399×C₁₃₉	C₂²	semidirect
36. #397×C₁₃₉	C₂²	semidirect
37. #397×C₁₃₉	C₂²	semidirect
38. #397×C₁₃₉	C₂²	semidirect
39. #397×C₁₃₉	C₂²	semidirect
40. #397×C₁₃₉	C₂²	semidirect
41. #396×C₁₃₉	C₂²	semidirect
42. #396×C₁₃₉	C₂²	semidirect
47. #394×C₁₃₉	C₂²	semidirect
48. #394×C₁₃₉	C₂²	semidirect
49. #394×C₁₃₉	C₂²	semidirect
50. #394×C₁₃₉	C₂²	semidirect
51. #394×C₁₃₉	C₂²	semidirect
52. #394×C₁₃₉	C₂²	semidirect
53. #393×C₁₃₉	C₂²	semidirect
58. #392×C₁₃₉	C₂²	semidirect
59. #391×C₁₃₉	C₂²	semidirect
60. #391×C₁₃₉	C₂²	semidirect
67. #390×C₁₃₉	C₂²	semidirect
68. #390×C₁₃₉	C₂²	semidirect
69. #390×C₁₃₉	C₂²	semidirect
70. #390×C₁₃₉	C₂²	semidirect
71. #389×C₁₃₉	C₂²	semidirect
72. #389×C₁₃₉	C₂²	semidirect
73. #389×C₁₃₉	C₂²	semidirect
74. #389×C₁₃₉	C₂²	semidirect
75. #389×C₁₃₉	C₂²	semidirect
76. #389×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. #388×C₁₃₉	C₂²	semidirect
85. #388×C₁₃₉	C₂²	semidirect
86. #388×C₁₃₉	C₂²	semidirect
87. #388×C₁₃₉	C₂²	semidirect
88. #388×C₁₃₉	C₂²	semidirect
89. #387×C₁₃₉	C₂²	semidirect
90. #387×C₁₃₉	C₂²	semidirect
91. #387×C₁₃₉	C₂²	semidirect
92. #387×C₁₃₉	C₂²	semidirect
95. #386×C₁₃₉	C₂²	semidirect
96. #386×C₁₃₉	C₂²	semidirect
99. #385×C₁₃₉	C₂²	semidirect
100. #385×C₁₃₉	C₂²	semidirect
496. #37198	C₁₃₉	direct (N × H)
497. C₁₃₉	#37198	direct (N × H)
498. #2855	C₂×C₁₃₉	semidirect
499. #2854	C₂×C₁₃₉	semidirect
500. #2808	C₂×C₁₃₉	semidirect
501. #2803	C₂×C₁₃₉	semidirect
502. #2803	C₂×C₁₃₉	semidirect
503. #2800	C₂×C₁₃₉	semidirect
504. #2797	C₂×C₁₃₉	semidirect
505. #2733	C₂×C₁₃₉	semidirect
506. #2727	C₂×C₁₃₉	semidirect
507. #2714	C₂×C₁₃₉	semidirect
508. #2710	C₂×C₁₃₉	semidirect
509. #2682	C₂×C₁₃₉	semidirect
510. #2613	C₂×C₁₃₉	semidirect
511. #2480	C₂×C₁₃₉	semidirect
512. #2472	C₂×C₁₃₉	semidirect
513. #2424	C₂×C₁₃₉	semidirect
514. #2418	C₂×C₁₃₉	semidirect
515. #2322	C₂×C₁₃₉	semidirect
516. C₂×#390	C₂×C₁₃₉	semidirect
518. C₂×#126	C₂²×C₁₃₉	semidirect
519. C₂×#124	C₂²×C₁₃₉	semidirect
521. C₂×#123	C₂²×C₁₃₉	semidirect
524. C₂×#121	C₂²×C₁₃₉	semidirect
532. #399	C₂²×C₁₃₉	semidirect
533. #397	C₂²×C₁₃₉	semidirect
534. #397	C₂²×C₁₃₉	semidirect
535. #397	C₂²×C₁₃₉	semidirect
536. #397	C₂²×C₁₃₉	semidirect
537. #397	C₂²×C₁₃₉	semidirect
538. #396	C₂²×C₁₃₉	semidirect
539. #396	C₂²×C₁₃₉	semidirect
544. #394	C₂²×C₁₃₉	semidirect
545. #394	C₂²×C₁₃₉	semidirect
546. #394	C₂²×C₁₃₉	semidirect
547. #394	C₂²×C₁₃₉	semidirect
548. #394	C₂²×C₁₃₉	semidirect
549. #394	C₂²×C₁₃₉	semidirect
550. #393	C₂²×C₁₃₉	semidirect
555. #392	C₂²×C₁₃₉	semidirect
556. #391	C₂²×C₁₃₉	semidirect
557. #391	C₂²×C₁₃₉	semidirect
564. #390	C₂²×C₁₃₉	semidirect
565. #390	C₂²×C₁₃₉	semidirect
566. #390	C₂²×C₁₃₉	semidirect
567. #390	C₂²×C₁₃₉	semidirect
568. #389	C₂²×C₁₃₉	semidirect
569. #389	C₂²×C₁₃₉	semidirect
570. #389	C₂²×C₁₃₉	semidirect
571. #389	C₂²×C₁₃₉	semidirect
572. #389	C₂²×C₁₃₉	semidirect
573. #389	C₂²×C₁₃₉	semidirect
574. #388	C₂²×C₁₃₉	semidirect
575. #388	C₂²×C₁₃₉	semidirect
576. #388	C₂²×C₁₃₉	semidirect
577. #388	C₂²×C₁₃₉	semidirect
578. #388	C₂²×C₁₃₉	semidirect
579. #388	C₂²×C₁₃₉	semidirect
580. #388	C₂²×C₁₃₉	semidirect
581. #388	C₂²×C₁₃₉	semidirect
582. #388	C₂²×C₁₃₉	semidirect
583. #388	C₂²×C₁₃₉	semidirect
584. #388	C₂²×C₁₃₉	semidirect
585. #388	C₂²×C₁₃₉	semidirect
586. #387	C₂²×C₁₃₉	semidirect
587. #387	C₂²×C₁₃₉	semidirect
588. #387	C₂²×C₁₃₉	semidirect
589. #387	C₂²×C₁₃₉	semidirect
592. #386	C₂²×C₁₃₉	semidirect
593. #386	C₂²×C₁₃₉	semidirect
596. #385	C₂²×C₁₃₉	semidirect
597. #385	C₂²×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
#2855×C₁₃₉	2
#2854×C₁₃₉	2
#2808×C₁₃₉	2
#2803×C₁₃₉	2
#2800×C₁₃₉	2
#2797×C₁₃₉	2
#2733×C₁₃₉	2
#2727×C₁₃₉	2
#2714×C₁₃₉	2
#2710×C₁₃₉	2
#2682×C₁₃₉	2
#2613×C₁₃₉	2
#2480×C₁₃₉	2
#2472×C₁₃₉	2
#2424×C₁₃₉	2
#2418×C₁₃₉	2
#2322×C₁₃₉	2
C₂×#390×C₁₃₉	2
#37198	139

Subgroups — C139×#37198 #48031794

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#37198 #48031794