Subgroups — C₁₃₉×#37154 #48031750

Order 35584.

2034 conjugacy classes of subgroups.

The subgroup lattice has 992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2854×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#2850×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2808×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2757×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2756×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2732×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2727×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2685×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2681×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2679×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
11	#2678×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2668×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2651×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2518×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2472×C₁₃₉	C₂	1	2	yes	maximal, complemented
16	#2467×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2424×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	#2321×C₁₃₉	C₂	1	2	yes	maximal, complemented
19	C₄×#121×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#126×C₁₃₉	C₂²	1	2	yes	complemented
21	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
22	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
23	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
24	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	complemented
25	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
27	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
28	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
29	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
30	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
31	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
32	C₂×#120×C₁₃₉	C₂²	1	2	yes	complemented
33	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
35	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
36	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
37	#399×C₁₃₉	C₂²	1	2	yes	complemented
38	#399×C₁₃₉	C₂²	1	2	yes	complemented
39	#398×C₁₃₉	C₂²	1	2	yes	complemented
40	#398×C₁₃₉	C₂²	1	2	yes	complemented
41	#397×C₁₃₉	C₂²	1	2	yes	complemented
42	#397×C₁₃₉	C₂²	1	2	yes	complemented
43	#397×C₁₃₉	C₂²	1	2	yes	complemented
44	#397×C₁₃₉	C₂²	1	2	yes	complemented
45	#396×C₁₃₉	C₂²	1	2	yes	complemented
46	#396×C₁₃₉	C₂²	1	2	yes	complemented
47	#396×C₁₃₉	C₂²	1	2	yes	complemented
48	#394×C₁₃₉	C₂²	1	2	yes	—
49	#394×C₁₃₉	C₂²	1	2	yes	—
50	#394×C₁₃₉	C₂²	1	2	yes	—
51	#394×C₁₃₉	C₂²	1	2	yes	—
52	#394×C₁₃₉	C₂²	1	2	yes	—
53	#394×C₁₃₉	C₂²	1	2	yes	—
54	#394×C₁₃₉	C₂²	1	2	yes	—
55	#394×C₁₃₉	C₂²	1	2	yes	—
56	#394×C₁₃₉	C₂²	1	2	yes	complemented
57	#394×C₁₃₉	C₂²	1	2	yes	complemented
58	#393×C₁₃₉	C₂²	1	2	yes	complemented
59	#392×C₁₃₉	C₂²	1	2	yes	—
60	#392×C₁₃₉	C₂²	1	2	yes	—
61	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
62	#390×C₁₃₉	C₂²	1	1	yes	characteristic
63	#390×C₁₃₉	C₂²	1	1	yes	characteristic
64	#390×C₁₃₉	C₂²	1	2	yes	—
65	#390×C₁₃₉	C₂²	1	2	yes	—
66	#390×C₁₃₉	C₂²	1	1	yes	characteristic
67	#390×C₁₃₉	C₂²	1	1	yes	characteristic
68	#390×C₁₃₉	C₂²	1	2	yes	—
69	#390×C₁₃₉	C₂²	1	2	yes	complemented
70	#389×C₁₃₉	C₂²	1	2	yes	complemented
71	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
72	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
73	#389×C₁₃₉	C₂²	1	1	yes	characteristic, 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	#388×C₁₃₉	C₂²	1	2	yes	complemented
85	#388×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	—
92	#386×C₁₃₉	C₂²	1	2	yes	complemented
93	#386×C₁₃₉	C₂²	1	2	yes	complemented
94	#386×C₁₃₉	C₂²	1	2	yes	complemented
95	#386×C₁₃₉	C₂²	1	2	yes	complemented
96	#385×C₁₃₉	C₂²	1	2	yes	complemented
97	#385×C₁₃₉	C₂²	1	2	yes	complemented
98	#383×C₁₃₉	C₂²	1	2	yes	complemented
99	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
100	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
101	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
102	#379×C₁₃₉	C₂²	1	2	yes	complemented
103	#379×C₁₃₉	C₂²	1	2	yes	complemented
104	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
105	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
106	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
107	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
108	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
109	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
110	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
111	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
112	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
113	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
114	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
115	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
116	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
117	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
118	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
119	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
120	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
121	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
122	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
123	#126×C₁₃₉	—	4	4	no	—
124	#124×C₁₃₉	—	4	2	no	—
125	#123×C₁₃₉	—	4	4	no	—
126	C₂²⋊Q₈×C₁₃₉	—	4	2	no	—
127	C₂²⋊Q₈×C₁₃₉	—	4	4	no	—
128	#121×C₁₃₉	—	2	4	no	—
129	#121×C₁₃₉	—	4	2	no	—
130	#121×C₁₃₉	—	4	4	no	—
131	#121×C₁₃₉	—	4	2	no	—
132	#120×C₁₃₉	—	2	8	no	—
133	#120×C₁₃₉	—	4	4	no	—
134	#120×C₁₃₉	—	4	4	no	—
135	#120×C₁₃₉	—	4	4	no	—
136	C₄×D₄×C₁₃₉	—	4	2	no	—
137	C₄×D₄×C₁₃₉	—	4	4	no	—
138	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
139	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
140	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
141	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
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×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	—	4	2	no	—
213	C₂⁴×C₁₃₉	—	4	2	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	4	no	—
229	C₂×D₄×C₁₃₉	—	2	4	no	—
230	C₂×D₄×C₁₃₉	—	2	4	no	—
231	C₂×D₄×C₁₃₉	—	2	2	no	—
232	C₂×D₄×C₁₃₉	—	2	2	no	—
233	C₂×D₄×C₁₃₉	—	4	1	no	—
234	C₂×D₄×C₁₃₉	—	4	2	no	—
235	C₂×D₄×C₁₃₉	—	4	1	no	—
236	C₂×D₄×C₁₃₉	—	4	2	no	—
237	C₂×D₄×C₁₃₉	—	4	2	no	—
238	C₂×D₄×C₁₃₉	—	4	2	no	—
239	C₂×D₄×C₁₃₉	—	4	2	no	—
240	C₂×D₄×C₁₃₉	—	4	1	no	—
241	C₂×D₄×C₁₃₉	—	4	1	no	—
242	C₂×D₄×C₁₃₉	—	4	2	no	—
243	C₂×D₄×C₁₃₉	—	4	2	no	—
244	C₂×D₄×C₁₃₉	—	4	2	no	—
245	C₂×D₄×C₁₃₉	—	4	1	no	—
246	C₂×D₄×C₁₃₉	—	4	1	no	—
247	C₂×D₄×C₁₃₉	—	4	2	no	—
248	C₂×D₄×C₁₃₉	—	4	2	no	—
249	C₂×D₄×C₁₃₉	—	4	2	no	—
250	C₂×D₄×C₁₃₉	—	4	2	no	—
251	C₂×D₄×C₁₃₉	#41	1	4	yes	—
252	C₂²×C₄×C₁₃₉	—	2	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	—	4	1	no	—
259	C₂²×C₄×C₁₃₉	—	4	1	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	C₂⁴	1	1	yes	characteristic
268	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
269	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
270	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
271	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
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	1	yes	characteristic
277	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
278	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₁₃₉	—	2	2	no	—
283	C₄⋊C₄×C₁₃₉	—	2	4	no	—
284	C₄⋊C₄×C₁₃₉	—	2	4	no	—
285	C₄⋊C₄×C₁₃₉	—	2	2	no	—
286	C₄⋊C₄×C₁₃₉	—	4	1	no	—
287	C₄⋊C₄×C₁₃₉	—	4	1	no	—
288	C₄⋊C₄×C₁₃₉	—	4	2	no	—
289	C₄⋊C₄×C₁₃₉	—	4	1	no	—
290	C₄⋊C₄×C₁₃₉	—	4	1	no	—
291	C₄⋊C₄×C₁₃₉	—	4	1	no	—
292	C₄⋊C₄×C₁₃₉	—	4	2	no	—
293	C₄⋊C₄×C₁₃₉	—	4	1	no	—
294	C₄⋊C₄×C₁₃₉	—	4	2	no	—
295	C₄⋊C₄×C₁₃₉	—	4	2	no	—
296	C₄⋊C₄×C₁₃₉	—	4	2	no	—
297	C₄⋊C₄×C₁₃₉	—	4	2	no	—
298	C₄⋊C₄×C₁₃₉	—	4	2	no	—
299	C₂²⋊C₄×C₁₃₉	—	2	4	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	C₄²×C₁₃₉	—	2	2	no	—
331	C₄²×C₁₃₉	—	2	2	no	—
332	C₄²×C₁₃₉	—	4	1	no	—
333	C₄²×C₁₃₉	—	4	1	no	—
334	C₄²×C₁₃₉	—	4	2	no	—
335	C₄²×C₁₃₉	—	4	2	no	—
336	C₄²×C₁₃₉	—	4	2	no	—
337	C₂³×C₁₃₉	—	2	1	no	—
338	C₂³×C₁₃₉	—	2	2	no	—
339	C₂³×C₁₃₉	—	2	2	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	1	no	—
345	C₂³×C₁₃₉	—	2	2	no	—
346	C₂³×C₁₃₉	—	2	1	no	—
347	C₂³×C₁₃₉	—	2	1	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	—	8	4	no	—
365	C₂³×C₁₃₉	—	8	4	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	4	yes	—
371	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
372	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
373	Q₈×C₁₃₉	—	8	2	no	—
374	D₄×C₁₃₉	—	4	4	no	—
375	D₄×C₁₃₉	—	4	8	no	—
376	D₄×C₁₃₉	—	8	2	no	—
377	D₄×C₁₃₉	—	8	2	no	—
378	D₄×C₁₃₉	—	8	4	no	—
379	D₄×C₁₃₉	—	8	4	no	—
380	D₄×C₁₃₉	—	8	4	no	—
381	D₄×C₁₃₉	—	8	4	no	—
382	D₄×C₁₃₉	—	8	4	no	—
383	C₂×C₄×C₁₃₉	—	2	1	no	—
384	C₂×C₄×C₁₃₉	—	2	1	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	2	no	—
393	C₂×C₄×C₁₃₉	—	2	2	no	—
394	C₂×C₄×C₁₃₉	—	2	2	no	—
395	C₂×C₄×C₁₃₉	—	2	1	no	—
396	C₂×C₄×C₁₃₉	—	2	1	no	—
397	C₂×C₄×C₁₃₉	—	2	2	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	2	no	—
421	C₂×C₄×C₁₃₉	—	2	1	no	—
422	C₂×C₄×C₁₃₉	—	2	2	no	—
423	C₂×C₄×C₁₃₉	—	2	2	no	—
424	C₂×C₄×C₁₃₉	—	4	4	no	—
425	C₂×C₄×C₁₃₉	—	4	4	no	—
426	C₂×C₄×C₁₃₉	—	4	4	no	—
427	C₂×C₄×C₁₃₉	—	8	4	no	—
428	C₂×C₄×C₁₃₉	—	8	4	no	—
429	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
430	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
431	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
432	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
433	C₂²×C₁₃₉	—	2	4	no	—
434	C₂²×C₁₃₉	—	2	4	no	—
435	C₂²×C₁₃₉	—	2	2	no	—
436	C₂²×C₁₃₉	—	2	4	no	—
437	C₂²×C₁₃₉	—	2	2	no	—
438	C₂²×C₁₃₉	—	2	2	no	—
439	C₂²×C₁₃₉	—	4	1	no	—
440	C₂²×C₁₃₉	—	4	1	no	—
441	C₂²×C₁₃₉	—	4	1	no	—
442	C₂²×C₁₃₉	—	4	2	no	—
443	C₂²×C₁₃₉	—	4	2	no	—
444	C₂²×C₁₃₉	—	4	2	no	—
445	C₂²×C₁₃₉	—	4	1	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	C₂²×#41	1	1	yes	characteristic
463	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	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	#585	1	1	yes	characteristic
468	C₂²×C₁₃₉	#585	1	1	yes	characteristic
469	C₄×C₁₃₉	—	2	2	no	—
470	C₄×C₁₃₉	—	2	2	no	—
471	C₄×C₁₃₉	—	2	2	no	—
472	C₄×C₁₃₉	—	2	2	no	—
473	C₄×C₁₃₉	—	4	1	no	—
474	C₄×C₁₃₉	—	4	2	no	—
475	C₄×C₁₃₉	—	4	2	no	—
476	C₄×C₁₃₉	—	4	2	no	—
477	C₄×C₁₃₉	—	4	2	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	C₂×C₁₃₉	—	4	2	no	—
485	C₂×C₁₃₉	—	4	4	no	—
486	C₂×C₁₃₉	—	8	2	no	—
487	C₂×C₁₃₉	—	8	2	no	—
488	C₂×C₁₃₉	#3459	1	1	yes	characteristic
489	C₂×C₁₃₉	#3514	1	1	yes	characteristic
490	C₂×C₁₃₉	#3519	1	1	yes	characteristic
491	C₂×C₁₃₉	#3534	1	1	yes	characteristic
492	C₂×C₁₃₉	#3537	1	1	yes	characteristic
493	C₂×C₁₃₉	#3545	1	1	yes	characteristic
494	C₂×C₁₃₉	#3546	1	1	yes	characteristic
495	#37154	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
496	C₁₃₉	#37154	1	1	yes	characteristic, direct product factor, Sylow
497	#2854	C₂×C₁₃₉	1	1	yes	characteristic, complemented
498	#2850	C₂×C₁₃₉	1	1	yes	characteristic, complemented
499	#2808	C₂×C₁₃₉	1	1	yes	characteristic, complemented
500	#2757	C₂×C₁₃₉	1	2	yes	complemented
501	#2756	C₂×C₁₃₉	1	2	yes	complemented
502	#2732	C₂×C₁₃₉	1	1	yes	characteristic, complemented
503	#2727	C₂×C₁₃₉	1	1	yes	characteristic, complemented
504	#2685	C₂×C₁₃₉	1	2	yes	complemented
505	#2681	C₂×C₁₃₉	1	2	yes	complemented
506	#2679	C₂×C₁₃₉	1	1	yes	characteristic, complemented
507	#2678	C₂×C₁₃₉	1	2	yes	complemented
508	#2668	C₂×C₁₃₉	1	2	yes	complemented
509	#2651	C₂×C₁₃₉	1	2	yes	complemented
510	#2518	C₂×C₁₃₉	1	2	yes	complemented
511	#2472	C₂×C₁₃₉	1	2	yes	complemented
512	#2467	C₂×C₁₃₉	1	2	yes	complemented
513	#2424	C₂×C₁₃₉	1	2	yes	complemented
514	#2321	C₂×C₁₃₉	1	2	yes	complemented
515	C₄×#121	C₂×C₁₃₉	1	1	yes	characteristic, complemented
516	C₂×#126	C₂²×C₁₃₉	1	2	yes	complemented
517	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
518	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
519	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
520	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	complemented
521	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
522	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
523	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
524	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
525	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
526	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
527	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
528	C₂×#120	C₂²×C₁₃₉	1	2	yes	complemented
529	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
530	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
531	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
532	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
533	#399	C₂²×C₁₃₉	1	2	yes	complemented
534	#399	C₂²×C₁₃₉	1	2	yes	complemented
535	#398	C₂²×C₁₃₉	1	2	yes	complemented
536	#398	C₂²×C₁₃₉	1	2	yes	complemented
537	#397	C₂²×C₁₃₉	1	2	yes	complemented
538	#397	C₂²×C₁₃₉	1	2	yes	complemented
539	#397	C₂²×C₁₃₉	1	2	yes	complemented
540	#397	C₂²×C₁₃₉	1	2	yes	complemented
541	#396	C₂²×C₁₃₉	1	2	yes	complemented
542	#396	C₂²×C₁₃₉	1	2	yes	complemented
543	#396	C₂²×C₁₃₉	1	2	yes	complemented
544	#394	C₂²×C₁₃₉	1	2	yes	—
545	#394	C₂²×C₁₃₉	1	2	yes	—
546	#394	C₂²×C₁₃₉	1	2	yes	—
547	#394	C₂²×C₁₃₉	1	2	yes	—
548	#394	C₂²×C₁₃₉	1	2	yes	—
549	#394	C₂²×C₁₃₉	1	2	yes	—
550	#394	C₂²×C₁₃₉	1	2	yes	—
551	#394	C₂²×C₁₃₉	1	2	yes	—
552	#394	C₂²×C₁₃₉	1	2	yes	complemented
553	#394	C₂²×C₁₃₉	1	2	yes	complemented
554	#393	C₂²×C₁₃₉	1	2	yes	complemented
555	#392	C₂²×C₁₃₉	1	2	yes	—
556	#392	C₂²×C₁₃₉	1	2	yes	—
557	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
558	#390	C₂²×C₁₃₉	1	2	yes	—
559	#390	C₂²×C₁₃₉	1	2	yes	—
560	#390	C₂²×C₁₃₉	1	1	yes	characteristic
561	#390	C₂²×C₁₃₉	1	1	yes	characteristic
562	#390	C₂²×C₁₃₉	1	1	yes	characteristic
563	#390	C₂²×C₁₃₉	1	2	yes	—
564	#390	C₂²×C₁₃₉	1	1	yes	characteristic
565	#390	C₂²×C₁₃₉	1	2	yes	complemented
566	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
567	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
568	#389	C₂²×C₁₃₉	1	2	yes	complemented
569	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
570	#388	C₂²×C₁₃₉	1	2	yes	complemented
571	#388	C₂²×C₁₃₉	1	2	yes	complemented
572	#388	C₂²×C₁₃₉	1	2	yes	complemented
573	#388	C₂²×C₁₃₉	1	2	yes	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	#387	C₂²×C₁₃₉	1	2	yes	complemented
583	#387	C₂²×C₁₃₉	1	2	yes	complemented
584	#386	C₂²×C₁₃₉	1	2	yes	—
585	#386	C₂²×C₁₃₉	1	2	yes	—
586	#386	C₂²×C₁₃₉	1	2	yes	—
587	#386	C₂²×C₁₃₉	1	2	yes	—
588	#386	C₂²×C₁₃₉	1	2	yes	complemented
589	#386	C₂²×C₁₃₉	1	2	yes	complemented
590	#386	C₂²×C₁₃₉	1	2	yes	complemented
591	#386	C₂²×C₁₃₉	1	2	yes	complemented
592	#385	C₂²×C₁₃₉	1	2	yes	complemented
593	#385	C₂²×C₁₃₉	1	2	yes	complemented
594	#383	C₂²×C₁₃₉	1	2	yes	complemented
595	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
596	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
597	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
598	#379	C₂²×C₁₃₉	1	2	yes	complemented
599	#379	C₂²×C₁₃₉	1	2	yes	complemented
600	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
601	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
602	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
603	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
604	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
605	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
606	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
607	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
608	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
609	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
610	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
611	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
612	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
613	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
614	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
615	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
616	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
617	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
618	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
619	#126	—	4	4	no	—
620	#124	—	4	2	no	—
621	#123	—	4	4	no	—
622	C₂²⋊Q₈	—	4	2	no	—
623	C₂²⋊Q₈	—	4	4	no	—
624	#121	—	2	4	no	—
625	#121	—	4	2	no	—
626	#121	—	4	4	no	—
627	#121	—	4	2	no	—
628	#120	—	2	8	no	—
629	#120	—	4	4	no	—
630	#120	—	4	4	no	—
631	#120	—	4	4	no	—
632	C₄×D₄	—	4	2	no	—
633	C₄×D₄	—	4	4	no	—
634	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
635	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
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	1	yes	characteristic
641	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
642	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
643	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
644	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
645	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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	C₂³×C₁₃₉	1	2	yes	—
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×C₄²	—	4	2	no	—
684	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
685	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
686	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
687	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
688	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
689	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
690	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
691	#95	C₂³×C₁₃₉	1	2	yes	—
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	C₂⁴	—	2	4	no	—
708	C₂⁴	—	4	2	no	—
709	C₂⁴	—	4	2	no	—
710	C₂⁴	—	4	2	no	—
711	C₂⁴	—	4	2	no	—
712	C₂⁴	—	4	2	no	—
713	C₂⁴	—	4	2	no	—
714	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
715	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
716	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
717	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
718	C₂×Q₈	—	2	2	no	—
719	C₂×Q₈	—	4	1	no	—
720	C₂×Q₈	—	4	1	no	—
721	C₂×D₄	—	2	4	no	—
722	C₂×D₄	—	2	4	no	—
723	C₂×D₄	—	2	4	no	—
724	C₂×D₄	—	2	4	no	—
725	C₂×D₄	—	2	4	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	2	no	—
733	C₂×D₄	—	4	2	no	—
734	C₂×D₄	—	4	2	no	—
735	C₂×D₄	—	4	2	no	—
736	C₂×D₄	—	4	1	no	—
737	C₂×D₄	—	4	1	no	—
738	C₂×D₄	—	4	2	no	—
739	C₂×D₄	—	4	2	no	—
740	C₂×D₄	—	4	2	no	—
741	C₂×D₄	—	4	1	no	—
742	C₂×D₄	—	4	1	no	—
743	C₂×D₄	—	4	2	no	—
744	C₂×D₄	—	4	2	no	—
745	C₂×D₄	—	4	2	no	—
746	C₂×D₄	—	4	2	no	—
747	C₂×D₄	#41×C₁₃₉	1	4	yes	—
748	C₂²×C₄	—	2	2	no	—
749	C₂²×C₄	—	2	2	no	—
750	C₂²×C₄	—	2	2	no	—
751	C₂²×C₄	—	2	2	no	—
752	C₂²×C₄	—	2	2	no	—
753	C₂²×C₄	—	2	4	no	—
754	C₂²×C₄	—	4	1	no	—
755	C₂²×C₄	—	4	1	no	—
756	C₂²×C₄	—	4	1	no	—
757	C₂²×C₄	—	4	1	no	—
758	C₂²×C₄	—	4	2	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	C₂⁴×C₁₃₉	1	1	yes	characteristic
764	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
765	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
766	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
767	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
768	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
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	1	yes	characteristic
773	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
774	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
775	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
776	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
777	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
778	C₄⋊C₄	—	2	2	no	—
779	C₄⋊C₄	—	2	4	no	—
780	C₄⋊C₄	—	2	4	no	—
781	C₄⋊C₄	—	2	2	no	—
782	C₄⋊C₄	—	4	1	no	—
783	C₄⋊C₄	—	4	1	no	—
784	C₄⋊C₄	—	4	2	no	—
785	C₄⋊C₄	—	4	1	no	—
786	C₄⋊C₄	—	4	1	no	—
787	C₄⋊C₄	—	4	1	no	—
788	C₄⋊C₄	—	4	2	no	—
789	C₄⋊C₄	—	4	1	no	—
790	C₄⋊C₄	—	4	2	no	—
791	C₄⋊C₄	—	4	2	no	—
792	C₄⋊C₄	—	4	2	no	—
793	C₄⋊C₄	—	4	2	no	—
794	C₄⋊C₄	—	4	2	no	—
795	C₂²⋊C₄	—	2	4	no	—
796	C₂²⋊C₄	—	2	4	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	—	4	2	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	C₄²	—	2	2	no	—
827	C₄²	—	2	2	no	—
828	C₄²	—	4	1	no	—
829	C₄²	—	4	1	no	—
830	C₄²	—	4	2	no	—
831	C₄²	—	4	2	no	—
832	C₄²	—	4	2	no	—
833	C₂³	—	2	1	no	—
834	C₂³	—	2	2	no	—
835	C₂³	—	2	2	no	—
836	C₂³	—	2	1	no	—
837	C₂³	—	2	1	no	—
838	C₂³	—	2	2	no	—
839	C₂³	—	2	2	no	—
840	C₂³	—	2	1	no	—
841	C₂³	—	2	2	no	—
842	C₂³	—	2	1	no	—
843	C₂³	—	2	1	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	—	4	8	no	—
860	C₂³	—	8	4	no	—
861	C₂³	—	8	4	no	—
862	C₂³	—	8	4	no	—
863	C₂³	—	8	4	no	—
864	C₂³	—	8	4	no	—
865	C₂³	—	8	4	no	—
866	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
867	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
868	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
869	Q₈	—	8	2	no	—
870	D₄	—	4	4	no	—
871	D₄	—	4	8	no	—
872	D₄	—	8	2	no	—
873	D₄	—	8	2	no	—
874	D₄	—	8	4	no	—
875	D₄	—	8	4	no	—
876	D₄	—	8	4	no	—
877	D₄	—	8	4	no	—
878	D₄	—	8	4	no	—
879	C₂×C₄	—	2	1	no	—
880	C₂×C₄	—	2	1	no	—
881	C₂×C₄	—	2	1	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	2	no	—
889	C₂×C₄	—	2	2	no	—
890	C₂×C₄	—	2	2	no	—
891	C₂×C₄	—	2	1	no	—
892	C₂×C₄	—	2	1	no	—
893	C₂×C₄	—	2	2	no	—
894	C₂×C₄	—	2	2	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	1	no	—
909	C₂×C₄	—	2	1	no	—
910	C₂×C₄	—	2	2	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	—	4	4	no	—
921	C₂×C₄	—	4	4	no	—
922	C₂×C₄	—	4	4	no	—
923	C₂×C₄	—	8	4	no	—
924	C₂×C₄	—	8	4	no	—
925	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
926	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
927	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
928	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
929	C₂²	—	2	2	no	—
930	C₂²	—	2	2	no	—
931	C₂²	—	2	4	no	—
932	C₂²	—	2	4	no	—
933	C₂²	—	2	2	no	—
934	C₂²	—	2	4	no	—
935	C₂²	—	4	1	no	—
936	C₂²	—	4	2	no	—
937	C₂²	—	4	2	no	—
938	C₂²	—	4	2	no	—
939	C₂²	—	4	2	no	—
940	C₂²	—	4	1	no	—
941	C₂²	—	4	1	no	—
942	C₂²	—	4	1	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	—	8	16	no	—
958	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
959	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
960	C₂²	C₂×H(5,𝔽₂)×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	#585×C₁₃₉	1	1	yes	characteristic
964	C₂²	#585×C₁₃₉	1	1	yes	characteristic
965	C₄	—	2	2	no	—
966	C₄	—	2	2	no	—
967	C₄	—	2	2	no	—
968	C₄	—	2	2	no	—
969	C₄	—	4	2	no	—
970	C₄	—	4	1	no	—
971	C₄	—	4	2	no	—
972	C₄	—	4	2	no	—
973	C₄	—	4	2	no	—
974	C₄	—	4	2	no	—
975	C₄	—	4	2	no	—
976	C₄	—	4	1	no	—
977	C₄	—	4	2	no	—
978	C₄	—	4	2	no	—
979	C₄	—	4	2	no	—
980	C₂	—	4	4	no	—
981	C₂	—	4	2	no	—
982	C₂	—	8	2	no	—
983	C₂	—	8	2	no	—
984	C₂	#3459×C₁₃₉	1	1	yes	characteristic
985	C₂	#3514×C₁₃₉	1	1	yes	characteristic
986	C₂	#3519×C₁₃₉	1	1	yes	characteristic
987	C₂	#3534×C₁₃₉	1	1	yes	characteristic
988	C₂	#3537×C₁₃₉	1	1	yes	characteristic
989	C₂	#3545×C₁₃₉	1	1	yes	characteristic
990	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. #2854×C₁₃₉	C₂	semidirect
2. #2850×C₁₃₉	C₂	semidirect
3. #2808×C₁₃₉	C₂	semidirect
4. #2757×C₁₃₉	C₂	semidirect
5. #2756×C₁₃₉	C₂	semidirect
6. #2732×C₁₃₉	C₂	semidirect
7. #2727×C₁₃₉	C₂	semidirect
8. #2685×C₁₃₉	C₂	semidirect
9. #2681×C₁₃₉	C₂	semidirect
10. #2679×C₁₃₉	C₂	semidirect
11. #2678×C₁₃₉	C₂	semidirect
12. #2668×C₁₃₉	C₂	semidirect
13. #2651×C₁₃₉	C₂	semidirect
14. #2518×C₁₃₉	C₂	semidirect
15. #2472×C₁₃₉	C₂	semidirect
16. #2467×C₁₃₉	C₂	semidirect
17. #2424×C₁₃₉	C₂	semidirect
18. #2321×C₁₃₉	C₂	semidirect
19. C₄×#121×C₁₃₉	C₂	semidirect
20. C₂×#126×C₁₃₉	C₂²	semidirect
22. C₂×#123×C₁₃₉	C₂²	semidirect
23. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
24. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
32. C₂×#120×C₁₃₉	C₂²	semidirect
34. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
35. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
36. C₂²×C₄²×C₁₃₉	C₂²	semidirect
37. #399×C₁₃₉	C₂²	semidirect
38. #399×C₁₃₉	C₂²	semidirect
39. #398×C₁₃₉	C₂²	semidirect
40. #398×C₁₃₉	C₂²	semidirect
41. #397×C₁₃₉	C₂²	semidirect
42. #397×C₁₃₉	C₂²	semidirect
43. #397×C₁₃₉	C₂²	semidirect
44. #397×C₁₃₉	C₂²	semidirect
45. #396×C₁₃₉	C₂²	semidirect
46. #396×C₁₃₉	C₂²	semidirect
47. #396×C₁₃₉	C₂²	semidirect
56. #394×C₁₃₉	C₂²	semidirect
57. #394×C₁₃₉	C₂²	semidirect
58. #393×C₁₃₉	C₂²	semidirect
61. #391×C₁₃₉	C₂²	semidirect
69. #390×C₁₃₉	C₂²	semidirect
70. #389×C₁₃₉	C₂²	semidirect
71. #389×C₁₃₉	C₂²	semidirect
72. #389×C₁₃₉	C₂²	semidirect
73. #389×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. #388×C₁₃₉	C₂²	semidirect
85. #388×C₁₃₉	C₂²	semidirect
86. #387×C₁₃₉	C₂²	semidirect
87. #387×C₁₃₉	C₂²	semidirect
92. #386×C₁₃₉	C₂²	semidirect
93. #386×C₁₃₉	C₂²	semidirect
94. #386×C₁₃₉	C₂²	semidirect
95. #386×C₁₃₉	C₂²	semidirect
96. #385×C₁₃₉	C₂²	semidirect
97. #385×C₁₃₉	C₂²	semidirect
98. #383×C₁₃₉	C₂²	semidirect
99. #382×C₁₃₉	C₂²	semidirect
100. #380×C₁₃₉	C₂²	semidirect
101. #380×C₁₃₉	C₂²	semidirect
102. #379×C₁₃₉	C₂²	semidirect
103. #379×C₁₃₉	C₂²	semidirect
104. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
105. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
106. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
495. #37154	C₁₃₉	direct (N × H)
496. C₁₃₉	#37154	direct (N × H)
497. #2854	C₂×C₁₃₉	semidirect
498. #2850	C₂×C₁₃₉	semidirect
499. #2808	C₂×C₁₃₉	semidirect
500. #2757	C₂×C₁₃₉	semidirect
501. #2756	C₂×C₁₃₉	semidirect
502. #2732	C₂×C₁₃₉	semidirect
503. #2727	C₂×C₁₃₉	semidirect
504. #2685	C₂×C₁₃₉	semidirect
505. #2681	C₂×C₁₃₉	semidirect
506. #2679	C₂×C₁₃₉	semidirect
507. #2678	C₂×C₁₃₉	semidirect
508. #2668	C₂×C₁₃₉	semidirect
509. #2651	C₂×C₁₃₉	semidirect
510. #2518	C₂×C₁₃₉	semidirect
511. #2472	C₂×C₁₃₉	semidirect
512. #2467	C₂×C₁₃₉	semidirect
513. #2424	C₂×C₁₃₉	semidirect
514. #2321	C₂×C₁₃₉	semidirect
515. C₄×#121	C₂×C₁₃₉	semidirect
516. C₂×#126	C₂²×C₁₃₉	semidirect
518. C₂×#123	C₂²×C₁₃₉	semidirect
519. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
520. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
528. C₂×#120	C₂²×C₁₃₉	semidirect
530. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
531. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
532. C₂²×C₄²	C₂²×C₁₃₉	semidirect
533. #399	C₂²×C₁₃₉	semidirect
534. #399	C₂²×C₁₃₉	semidirect
535. #398	C₂²×C₁₃₉	semidirect
536. #398	C₂²×C₁₃₉	semidirect
537. #397	C₂²×C₁₃₉	semidirect
538. #397	C₂²×C₁₃₉	semidirect
539. #397	C₂²×C₁₃₉	semidirect
540. #397	C₂²×C₁₃₉	semidirect
541. #396	C₂²×C₁₃₉	semidirect
542. #396	C₂²×C₁₃₉	semidirect
543. #396	C₂²×C₁₃₉	semidirect
552. #394	C₂²×C₁₃₉	semidirect
553. #394	C₂²×C₁₃₉	semidirect
554. #393	C₂²×C₁₃₉	semidirect
557. #391	C₂²×C₁₃₉	semidirect
565. #390	C₂²×C₁₃₉	semidirect
566. #389	C₂²×C₁₃₉	semidirect
567. #389	C₂²×C₁₃₉	semidirect
568. #389	C₂²×C₁₃₉	semidirect
569. #389	C₂²×C₁₃₉	semidirect
570. #388	C₂²×C₁₃₉	semidirect
571. #388	C₂²×C₁₃₉	semidirect
572. #388	C₂²×C₁₃₉	semidirect
573. #388	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. #387	C₂²×C₁₃₉	semidirect
583. #387	C₂²×C₁₃₉	semidirect
588. #386	C₂²×C₁₃₉	semidirect
589. #386	C₂²×C₁₃₉	semidirect
590. #386	C₂²×C₁₃₉	semidirect
591. #386	C₂²×C₁₃₉	semidirect
592. #385	C₂²×C₁₃₉	semidirect
593. #385	C₂²×C₁₃₉	semidirect
594. #383	C₂²×C₁₃₉	semidirect
595. #382	C₂²×C₁₃₉	semidirect
596. #380	C₂²×C₁₃₉	semidirect
597. #380	C₂²×C₁₃₉	semidirect
598. #379	C₂²×C₁₃₉	semidirect
599. #379	C₂²×C₁₃₉	semidirect
600. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
601. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
602. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
#2854×C₁₃₉	2
#2850×C₁₃₉	2
#2808×C₁₃₉	2
#2757×C₁₃₉	2
#2756×C₁₃₉	2
#2732×C₁₃₉	2
#2727×C₁₃₉	2
#2685×C₁₃₉	2
#2681×C₁₃₉	2
#2679×C₁₃₉	2
#2678×C₁₃₉	2
#2668×C₁₃₉	2
#2651×C₁₃₉	2
#2518×C₁₃₉	2
#2472×C₁₃₉	2
#2467×C₁₃₉	2
#2424×C₁₃₉	2
#2321×C₁₃₉	2
C₄×#121×C₁₃₉	2
#37154	139

Subgroups — C139×#37154 #48031750

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#37154 #48031750