Subgroups — C₁₃₉×#36045 #48030641

Order 35584.

2192 conjugacy classes of subgroups.

The subgroup lattice has 1026 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#553×C₁₃₉	C₂	1	1	yes	maximal, characteristic
2	C₂×#552×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2664×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2663×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2639×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2611×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2604×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2583×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2564×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2559×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2558×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2506×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2501×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2498×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2496×C₁₃₉	C₂	1	2	yes	maximal, complemented
16	#2425×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2425×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	#2396×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2395×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#400×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2359×C₁₃₉	C₂	1	2	yes	maximal, complemented
22	#2359×C₁₃₉	C₂	1	2	yes	maximal, complemented
23	#2275×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	#553×C₁₃₉	—	2	8	no	—
25	#552×C₁₃₉	—	2	8	no	—
26	C₂×#126×C₁₃₉	C₂²	1	2	yes	—
27	C₂×#126×C₁₃₉	C₂²	1	1	yes	characteristic
28	C₂×#126×C₁₃₉	C₂²	1	1	yes	characteristic
29	C₂×#125×C₁₃₉	C₂²	1	2	yes	—
30	C₂×#125×C₁₃₉	C₂²	1	1	yes	characteristic
31	C₂×#125×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
34	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
35	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
37	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
41	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
42	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
45	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
49	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
50	C₂×#117×C₁₃₉	C₂²	1	2	yes	—
51	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
52	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
53	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
54	#400×C₁₃₉	C₂²	1	2	yes	—
55	#400×C₁₃₉	C₂²	1	2	yes	—
56	#400×C₁₃₉	C₂²	1	1	yes	characteristic
57	#400×C₁₃₉	C₂²	1	1	yes	characteristic
58	#400×C₁₃₉	C₂²	1	2	yes	—
59	#400×C₁₃₉	C₂²	1	1	yes	characteristic
60	#400×C₁₃₉	C₂²	1	1	yes	characteristic
61	#399×C₁₃₉	C₂²	1	1	yes	characteristic
62	#399×C₁₃₉	C₂²	1	1	yes	characteristic
63	#399×C₁₃₉	C₂²	1	1	yes	characteristic
64	#399×C₁₃₉	C₂²	1	1	yes	characteristic
65	#398×C₁₃₉	C₂²	1	1	yes	characteristic
66	#398×C₁₃₉	C₂²	1	1	yes	characteristic
67	#398×C₁₃₉	C₂²	1	2	yes	—
68	#398×C₁₃₉	C₂²	1	2	yes	—
69	#397×C₁₃₉	C₂²	1	1	yes	characteristic
70	#397×C₁₃₉	C₂²	1	1	yes	characteristic
71	#397×C₁₃₉	C₂²	1	2	yes	—
72	#397×C₁₃₉	C₂²	1	2	yes	—
73	#396×C₁₃₉	C₂²	1	2	yes	—
74	#396×C₁₃₉	C₂²	1	2	yes	—
75	#395×C₁₃₉	C₂²	1	1	yes	characteristic
76	#395×C₁₃₉	C₂²	1	1	yes	characteristic
77	#394×C₁₃₉	C₂²	1	2	yes	—
78	#394×C₁₃₉	C₂²	1	2	yes	—
79	#394×C₁₃₉	C₂²	1	2	yes	—
80	#393×C₁₃₉	C₂²	1	1	yes	characteristic
81	#393×C₁₃₉	C₂²	1	1	yes	characteristic
82	#390×C₁₃₉	C₂²	1	2	yes	—
83	#389×C₁₃₉	C₂²	1	2	yes	—
84	#389×C₁₃₉	C₂²	1	2	yes	—
85	#389×C₁₃₉	C₂²	1	2	yes	—
86	#389×C₁₃₉	C₂²	1	2	yes	—
87	#389×C₁₃₉	C₂²	1	2	yes	—
88	#389×C₁₃₉	C₂²	1	2	yes	—
89	#388×C₁₃₉	C₂²	1	2	yes	—
90	#388×C₁₃₉	C₂²	1	2	yes	—
91	#388×C₁₃₉	C₂²	1	2	yes	—
92	#388×C₁₃₉	C₂²	1	2	yes	—
93	#388×C₁₃₉	C₂²	1	2	yes	—
94	#388×C₁₃₉	C₂²	1	2	yes	—
95	#387×C₁₃₉	C₂²	1	2	yes	—
96	#387×C₁₃₉	C₂²	1	2	yes	—
97	#387×C₁₃₉	C₂²	1	2	yes	—
98	#387×C₁₃₉	C₂²	1	2	yes	—
99	#386×C₁₃₉	C₂²	1	2	yes	—
100	#386×C₁₃₉	C₂²	1	2	yes	—
101	#386×C₁₃₉	C₂²	1	2	yes	—
102	#386×C₁₃₉	C₂²	1	2	yes	—
103	#385×C₁₃₉	C₂²	1	2	yes	—
104	#385×C₁₃₉	C₂²	1	2	yes	—
105	#385×C₁₃₉	C₂²	1	2	yes	—
106	#385×C₁₃₉	C₂²	1	2	yes	—
107	#384×C₁₃₉	C₂²	1	2	yes	—
108	#380×C₁₃₉	C₂²	1	2	yes	—
109	#380×C₁₃₉	C₂²	1	2	yes	—
110	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
111	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
112	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
113	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
114	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
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	1	yes	characteristic
118	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
120	#376×C₁₃₉	C₂²	1	1	yes	characteristic
121	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
122	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
123	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
124	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
125	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
127	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
128	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
129	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
130	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
132	C₂³×C₄×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	2	yes	—
138	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
139	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
141	#126×C₁₃₉	—	2	8	no	—
142	#126×C₁₃₉	—	2	4	no	—
143	#126×C₁₃₉	—	2	4	no	—
144	#125×C₁₃₉	—	2	8	no	—
145	#125×C₁₃₉	—	2	4	no	—
146	#125×C₁₃₉	—	2	4	no	—
147	#123×C₁₃₉	—	2	8	no	—
148	#123×C₁₃₉	—	2	4	no	—
149	#123×C₁₃₉	—	2	4	no	—
150	#123×C₁₃₉	—	2	8	no	—
151	#123×C₁₃₉	—	2	8	no	—
152	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
153	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
154	#121×C₁₃₉	—	2	4	no	—
155	#121×C₁₃₉	—	2	4	no	—
156	#121×C₁₃₉	—	2	4	no	—
157	#121×C₁₃₉	—	2	4	no	—
158	C₄×Q₈×C₁₃₉	—	2	4	no	—
159	C₄×D₄×C₁₃₉	—	2	4	no	—
160	C₄×D₄×C₁₃₉	—	2	4	no	—
161	C₄×D₄×C₁₃₉	—	2	4	no	—
162	C₄×D₄×C₁₃₉	—	2	8	no	—
163	C₄×D₄×C₁₃₉	D₄	1	8	yes	—
164	#117×C₁₃₉	—	2	4	no	—
165	#117×C₁₃₉	—	2	8	no	—
166	#117×C₁₃₉	—	2	4	no	—
167	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
168	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
169	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
170	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
171	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
172	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
173	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
174	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
175	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
176	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
177	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
178	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
179	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
180	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
182	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
183	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
184	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
185	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
186	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
187	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
188	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
189	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
190	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
191	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
192	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
193	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
196	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
197	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
198	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
202	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
203	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
207	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
208	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
209	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
210	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
211	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
214	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
215	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
216	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
217	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
220	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
221	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
223	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
225	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
226	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
227	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
228	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
229	#95×C₁₃₉	C₂³	1	2	yes	—
230	#95×C₁₃₉	C₂³	1	1	yes	characteristic
231	#95×C₁₃₉	C₂³	1	1	yes	characteristic
232	#95×C₁₃₉	C₂³	1	2	yes	—
233	#95×C₁₃₉	C₂³	1	2	yes	—
234	#95×C₁₃₉	C₂³	1	2	yes	—
235	#95×C₁₃₉	C₂³	1	2	yes	—
236	#95×C₁₃₉	C₂³	1	2	yes	—
237	#95×C₁₃₉	C₂³	1	2	yes	—
238	#95×C₁₃₉	C₂³	1	1	yes	characteristic
239	#95×C₁₃₉	C₂³	1	1	yes	characteristic
240	#95×C₁₃₉	C₂³	1	2	yes	—
241	#95×C₁₃₉	C₂³	1	2	yes	—
242	#95×C₁₃₉	C₂³	1	2	yes	—
243	#95×C₁₃₉	C₂³	1	2	yes	—
244	#95×C₁₃₉	C₂³	1	2	yes	—
245	#95×C₁₃₉	C₂³	1	2	yes	—
246	#95×C₁₃₉	C₂³	1	2	yes	—
247	#95×C₁₃₉	C₂³	1	2	yes	—
248	#95×C₁₃₉	C₂³	1	2	yes	—
249	#95×C₁₃₉	C₂³	1	2	yes	—
250	#95×C₁₃₉	C₂³	1	2	yes	—
251	#95×C₁₃₉	C₂³	1	2	yes	—
252	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
253	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
254	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
255	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
256	C₂×Q₈×C₁₃₉	—	2	2	no	—
257	C₂×Q₈×C₁₃₉	—	4	2	no	—
258	C₂×D₄×C₁₃₉	—	2	4	no	—
259	C₂×D₄×C₁₃₉	—	2	2	no	—
260	C₂×D₄×C₁₃₉	—	2	2	no	—
261	C₂×D₄×C₁₃₉	—	2	2	no	—
262	C₂×D₄×C₁₃₉	—	2	4	no	—
263	C₂×D₄×C₁₃₉	—	2	4	no	—
264	C₂×D₄×C₁₃₉	—	2	2	no	—
265	C₂×D₄×C₁₃₉	—	2	2	no	—
266	C₂×D₄×C₁₃₉	—	2	2	no	—
267	C₂×D₄×C₁₃₉	—	4	1	no	—
268	C₂×D₄×C₁₃₉	—	4	2	no	—
269	C₂×D₄×C₁₃₉	—	4	2	no	—
270	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
271	C₂²×C₄×C₁₃₉	—	2	4	no	—
272	C₂²×C₄×C₁₃₉	—	2	2	no	—
273	C₂²×C₄×C₁₃₉	—	2	4	no	—
274	C₂²×C₄×C₁₃₉	—	2	4	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	2	no	—
281	C₂²×C₄×C₁₃₉	—	2	4	no	—
282	C₂²×C₄×C₁₃₉	—	4	1	no	—
283	C₂²×C₄×C₁₃₉	—	4	2	no	—
284	C₂²×C₄×C₁₃₉	—	4	2	no	—
285	C₂²×C₄×C₁₃₉	—	4	1	no	—
286	C₂²×C₄×C₁₃₉	—	4	2	no	—
287	C₂²×C₄×C₁₃₉	—	4	2	no	—
288	C₂²×C₄×C₁₃₉	—	4	2	no	—
289	C₂²×C₄×C₁₃₉	—	4	2	no	—
290	C₂²×C₄×C₁₃₉	—	4	2	no	—
291	C₂²×C₄×C₁₃₉	—	4	2	no	—
292	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
293	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
294	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
295	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
296	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
297	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
298	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
299	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
300	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
301	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
302	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
303	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
304	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
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	1	yes	characteristic
309	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄×C₁₃₉	—	2	2	no	—
314	C₄⋊C₄×C₁₃₉	—	2	2	no	—
315	C₄⋊C₄×C₁₃₉	—	2	2	no	—
316	C₄⋊C₄×C₁₃₉	—	2	2	no	—
317	C₄⋊C₄×C₁₃₉	—	2	2	no	—
318	C₄⋊C₄×C₁₃₉	—	2	2	no	—
319	C₄⋊C₄×C₁₃₉	—	2	4	no	—
320	C₄⋊C₄×C₁₃₉	—	2	2	no	—
321	C₄⋊C₄×C₁₃₉	—	2	2	no	—
322	C₄⋊C₄×C₁₃₉	—	2	4	no	—
323	C₄⋊C₄×C₁₃₉	—	2	4	no	—
324	C₄⋊C₄×C₁₃₉	—	2	2	no	—
325	C₄⋊C₄×C₁₃₉	—	2	2	no	—
326	C₄⋊C₄×C₁₃₉	—	2	4	no	—
327	C₄⋊C₄×C₁₃₉	—	2	2	no	—
328	C₄⋊C₄×C₁₃₉	—	2	2	no	—
329	C₄⋊C₄×C₁₃₉	—	2	4	no	—
330	C₄⋊C₄×C₁₃₉	—	2	4	no	—
331	C₄⋊C₄×C₁₃₉	—	2	4	no	—
332	C₄⋊C₄×C₁₃₉	—	2	4	no	—
333	C₄⋊C₄×C₁₃₉	—	2	4	no	—
334	C₄⋊C₄×C₁₃₉	—	2	4	no	—
335	C₄⋊C₄×C₁₃₉	—	2	4	no	—
336	C₄⋊C₄×C₁₃₉	—	2	4	no	—
337	C₄⋊C₄×C₁₃₉	—	4	2	no	—
338	C₄⋊C₄×C₁₃₉	—	4	2	no	—
339	C₄⋊C₄×C₁₃₉	—	4	2	no	—
340	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
341	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
342	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
343	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
344	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
345	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
346	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
347	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
348	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
349	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
350	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
351	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
352	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
353	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
354	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
355	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
356	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
357	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
358	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
359	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
360	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
361	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
362	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
363	C₂²⋊C₄×C₁₃₉	#41	1	8	yes	—
364	C₄²×C₁₃₉	—	2	4	no	—
365	C₄²×C₁₃₉	—	2	2	no	—
366	C₄²×C₁₃₉	—	2	4	no	—
367	C₄²×C₁₃₉	—	2	2	no	—
368	C₄²×C₁₃₉	—	2	4	no	—
369	C₄²×C₁₃₉	—	4	2	no	—
370	C₄²×C₁₃₉	—	4	2	no	—
371	C₄²×C₁₃₉	—	4	2	no	—
372	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
373	C₂³×C₁₃₉	—	2	1	no	—
374	C₂³×C₁₃₉	—	2	2	no	—
375	C₂³×C₁₃₉	—	2	1	no	—
376	C₂³×C₁₃₉	—	2	2	no	—
377	C₂³×C₁₃₉	—	2	1	no	—
378	C₂³×C₁₃₉	—	2	2	no	—
379	C₂³×C₁₃₉	—	2	1	no	—
380	C₂³×C₁₃₉	—	2	1	no	—
381	C₂³×C₁₃₉	—	2	1	no	—
382	C₂³×C₁₃₉	—	2	2	no	—
383	C₂³×C₁₃₉	—	2	2	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	2	no	—
389	C₂³×C₁₃₉	—	2	2	no	—
390	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
391	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
392	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
393	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
394	Q₈×C₁₃₉	—	4	4	no	—
395	D₄×C₁₃₉	—	2	8	no	—
396	D₄×C₁₃₉	—	4	4	no	—
397	D₄×C₁₃₉	—	4	4	no	—
398	D₄×C₁₃₉	—	4	4	no	—
399	D₄×C₁₃₉	—	8	2	no	—
400	D₄×C₁₃₉	—	8	2	no	—
401	C₂×C₄×C₁₃₉	—	2	1	no	—
402	C₂×C₄×C₁₃₉	—	2	2	no	—
403	C₂×C₄×C₁₃₉	—	2	2	no	—
404	C₂×C₄×C₁₃₉	—	2	1	no	—
405	C₂×C₄×C₁₃₉	—	2	2	no	—
406	C₂×C₄×C₁₃₉	—	2	1	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	1	no	—
412	C₂×C₄×C₁₃₉	—	2	2	no	—
413	C₂×C₄×C₁₃₉	—	2	2	no	—
414	C₂×C₄×C₁₃₉	—	2	2	no	—
415	C₂×C₄×C₁₃₉	—	2	1	no	—
416	C₂×C₄×C₁₃₉	—	2	1	no	—
417	C₂×C₄×C₁₃₉	—	2	2	no	—
418	C₂×C₄×C₁₃₉	—	2	1	no	—
419	C₂×C₄×C₁₃₉	—	2	1	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	—	2	2	no	—
425	C₂×C₄×C₁₃₉	—	2	2	no	—
426	C₂×C₄×C₁₃₉	—	2	2	no	—
427	C₂×C₄×C₁₃₉	—	2	2	no	—
428	C₂×C₄×C₁₃₉	—	2	2	no	—
429	C₂×C₄×C₁₃₉	—	2	2	no	—
430	C₂×C₄×C₁₃₉	—	2	2	no	—
431	C₂×C₄×C₁₃₉	—	2	1	no	—
432	C₂×C₄×C₁₃₉	—	2	2	no	—
433	C₂×C₄×C₁₃₉	—	2	2	no	—
434	C₂×C₄×C₁₃₉	—	2	2	no	—
435	C₂×C₄×C₁₃₉	—	2	2	no	—
436	C₂×C₄×C₁₃₉	—	2	2	no	—
437	C₂×C₄×C₁₃₉	—	2	2	no	—
438	C₂×C₄×C₁₃₉	—	2	2	no	—
439	C₂×C₄×C₁₃₉	—	2	1	no	—
440	C₂×C₄×C₁₃₉	—	2	2	no	—
441	C₂×C₄×C₁₃₉	—	2	2	no	—
442	C₂×C₄×C₁₃₉	—	4	4	no	—
443	C₂×C₄×C₁₃₉	—	4	4	no	—
444	C₂×C₄×C₁₃₉	—	4	4	no	—
445	C₂×C₄×C₁₃₉	—	4	4	no	—
446	C₂×C₄×C₁₃₉	—	4	8	no	—
447	C₂×C₄×C₁₃₉	—	8	2	no	—
448	C₂×C₄×C₁₃₉	—	8	4	no	—
449	C₂×C₄×C₁₃₉	—	8	2	no	—
450	C₂×C₄×C₁₃₉	—	8	4	no	—
451	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
452	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
453	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
454	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
455	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
456	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
457	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
458	C₂×C₄×C₁₃₉	2₋¹⁺⁴	1	2	yes	—
459	C₂²×C₁₃₉	—	2	2	no	—
460	C₂²×C₁₃₉	—	2	2	no	—
461	C₂²×C₁₃₉	—	2	4	no	—
462	C₂²×C₁₃₉	—	2	4	no	—
463	C₂²×C₁₃₉	—	2	2	no	—
464	C₂²×C₁₃₉	—	2	2	no	—
465	C₂²×C₁₃₉	—	2	2	no	—
466	C₂²×C₁₃₉	—	4	2	no	—
467	C₂²×C₁₃₉	—	4	2	no	—
468	C₂²×C₁₃₉	—	4	1	no	—
469	C₂²×C₁₃₉	—	4	1	no	—
470	C₂²×C₁₃₉	—	4	1	no	—
471	C₂²×C₁₃₉	—	4	1	no	—
472	C₂²×C₁₃₉	—	4	1	no	—
473	C₂²×C₁₃₉	—	4	1	no	—
474	C₂²×C₁₃₉	—	4	2	no	—
475	C₂²×C₁₃₉	—	4	2	no	—
476	C₂²×C₁₃₉	—	4	2	no	—
477	C₂²×C₁₃₉	—	4	2	no	—
478	C₂²×C₁₃₉	#532	1	4	yes	—
479	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
480	C₂²×C₁₃₉	C₂²×#41	1	2	yes	—
481	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
482	C₂²×C₁₃₉	#585	1	2	yes	—
483	C₂²×C₁₃₉	#585	1	1	yes	characteristic
484	C₄×C₁₃₉	—	2	2	no	—
485	C₄×C₁₃₉	—	2	2	no	—
486	C₄×C₁₃₉	—	2	2	no	—
487	C₄×C₁₃₉	—	2	2	no	—
488	C₄×C₁₃₉	—	2	2	no	—
489	C₄×C₁₃₉	—	2	2	no	—
490	C₄×C₁₃₉	—	2	4	no	—
491	C₄×C₁₃₉	—	2	4	no	—
492	C₄×C₁₃₉	—	4	2	no	—
493	C₄×C₁₃₉	—	4	2	no	—
494	C₄×C₁₃₉	—	4	1	no	—
495	C₄×C₁₃₉	—	4	1	no	—
496	C₄×C₁₃₉	—	4	1	no	—
497	C₄×C₁₃₉	—	4	1	no	—
498	C₄×C₁₃₉	—	4	2	no	—
499	C₄×C₁₃₉	—	4	2	no	—
500	C₄×C₁₃₉	—	4	1	no	—
501	C₄×C₁₃₉	—	4	2	no	—
502	C₄×C₁₃₉	—	4	2	no	—
503	C₂×C₁₃₉	—	2	4	no	—
504	C₂×C₁₃₉	—	4	2	no	—
505	C₂×C₁₃₉	—	8	1	no	—
506	C₂×C₁₃₉	—	8	1	no	—
507	C₂×C₁₃₉	C₂×#532	1	1	yes	characteristic
508	C₂×C₁₃₉	#3485	1	1	yes	characteristic
509	C₂×C₁₃₉	#3489	1	1	yes	characteristic
510	C₂×C₁₃₉	#3515	1	2	yes	—
511	C₂×C₁₃₉	#3521	1	2	yes	—
512	#36045	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
513	C₁₃₉	#36045	1	1	yes	characteristic, direct product factor, Sylow
514	C₂×#553	C₂×C₁₃₉	1	1	yes	characteristic
515	C₂×#552	C₂×C₁₃₉	1	1	yes	characteristic, complemented
516	#2664	C₂×C₁₃₉	1	1	yes	characteristic, complemented
517	#2663	C₂×C₁₃₉	1	1	yes	characteristic, complemented
518	#2639	C₂×C₁₃₉	1	1	yes	characteristic, complemented
519	#2611	C₂×C₁₃₉	1	1	yes	characteristic, complemented
520	#2604	C₂×C₁₃₉	1	1	yes	characteristic, complemented
521	#2583	C₂×C₁₃₉	1	1	yes	characteristic, complemented
522	#2564	C₂×C₁₃₉	1	1	yes	characteristic, complemented
523	#2559	C₂×C₁₃₉	1	2	yes	complemented
524	#2558	C₂×C₁₃₉	1	2	yes	complemented
525	#2506	C₂×C₁₃₉	1	2	yes	complemented
526	#2501	C₂×C₁₃₉	1	1	yes	characteristic, complemented
527	#2498	C₂×C₁₃₉	1	1	yes	characteristic, complemented
528	#2496	C₂×C₁₃₉	1	2	yes	complemented
529	#2425	C₂×C₁₃₉	1	2	yes	complemented
530	#2425	C₂×C₁₃₉	1	2	yes	complemented
531	#2396	C₂×C₁₃₉	1	1	yes	characteristic, complemented
532	#2395	C₂×C₁₃₉	1	1	yes	characteristic, complemented
533	C₂×#400	C₂×C₁₃₉	1	1	yes	characteristic, complemented
534	#2359	C₂×C₁₃₉	1	2	yes	complemented
535	#2359	C₂×C₁₃₉	1	2	yes	complemented
536	#2275	C₂×C₁₃₉	1	1	yes	characteristic, complemented
537	#553	—	2	8	no	—
538	#552	—	2	8	no	—
539	C₂×#126	C₂²×C₁₃₉	1	1	yes	characteristic
540	C₂×#126	C₂²×C₁₃₉	1	2	yes	—
541	C₂×#126	C₂²×C₁₃₉	1	1	yes	characteristic
542	C₂×#125	C₂²×C₁₃₉	1	1	yes	characteristic
543	C₂×#125	C₂²×C₁₃₉	1	2	yes	—
544	C₂×#125	C₂²×C₁₃₉	1	1	yes	characteristic
545	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
546	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
547	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
548	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
549	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
550	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
551	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
552	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
553	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
554	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
555	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
556	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
557	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
558	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
559	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
560	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
561	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
562	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
563	C₂×#117	C₂²×C₁₃₉	1	2	yes	—
564	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
565	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
566	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
567	#400	C₂²×C₁₃₉	1	1	yes	characteristic
568	#400	C₂²×C₁₃₉	1	1	yes	characteristic
569	#400	C₂²×C₁₃₉	1	2	yes	—
570	#400	C₂²×C₁₃₉	1	1	yes	characteristic
571	#400	C₂²×C₁₃₉	1	1	yes	characteristic
572	#400	C₂²×C₁₃₉	1	2	yes	—
573	#400	C₂²×C₁₃₉	1	2	yes	—
574	#399	C₂²×C₁₃₉	1	1	yes	characteristic
575	#399	C₂²×C₁₃₉	1	1	yes	characteristic
576	#399	C₂²×C₁₃₉	1	1	yes	characteristic
577	#399	C₂²×C₁₃₉	1	1	yes	characteristic
578	#398	C₂²×C₁₃₉	1	1	yes	characteristic
579	#398	C₂²×C₁₃₉	1	1	yes	characteristic
580	#398	C₂²×C₁₃₉	1	2	yes	—
581	#398	C₂²×C₁₃₉	1	2	yes	—
582	#397	C₂²×C₁₃₉	1	1	yes	characteristic
583	#397	C₂²×C₁₃₉	1	1	yes	characteristic
584	#397	C₂²×C₁₃₉	1	2	yes	—
585	#397	C₂²×C₁₃₉	1	2	yes	—
586	#396	C₂²×C₁₃₉	1	2	yes	—
587	#396	C₂²×C₁₃₉	1	2	yes	—
588	#395	C₂²×C₁₃₉	1	1	yes	characteristic
589	#395	C₂²×C₁₃₉	1	1	yes	characteristic
590	#394	C₂²×C₁₃₉	1	2	yes	—
591	#394	C₂²×C₁₃₉	1	2	yes	—
592	#394	C₂²×C₁₃₉	1	2	yes	—
593	#393	C₂²×C₁₃₉	1	1	yes	characteristic
594	#393	C₂²×C₁₃₉	1	1	yes	characteristic
595	#390	C₂²×C₁₃₉	1	2	yes	—
596	#389	C₂²×C₁₃₉	1	2	yes	—
597	#389	C₂²×C₁₃₉	1	2	yes	—
598	#389	C₂²×C₁₃₉	1	2	yes	—
599	#389	C₂²×C₁₃₉	1	2	yes	—
600	#389	C₂²×C₁₃₉	1	2	yes	—
601	#389	C₂²×C₁₃₉	1	2	yes	—
602	#388	C₂²×C₁₃₉	1	2	yes	—
603	#388	C₂²×C₁₃₉	1	2	yes	—
604	#388	C₂²×C₁₃₉	1	2	yes	—
605	#388	C₂²×C₁₃₉	1	2	yes	—
606	#388	C₂²×C₁₃₉	1	2	yes	—
607	#388	C₂²×C₁₃₉	1	2	yes	—
608	#387	C₂²×C₁₃₉	1	2	yes	—
609	#387	C₂²×C₁₃₉	1	2	yes	—
610	#387	C₂²×C₁₃₉	1	2	yes	—
611	#387	C₂²×C₁₃₉	1	2	yes	—
612	#386	C₂²×C₁₃₉	1	2	yes	—
613	#386	C₂²×C₁₃₉	1	2	yes	—
614	#386	C₂²×C₁₃₉	1	2	yes	—
615	#386	C₂²×C₁₃₉	1	2	yes	—
616	#385	C₂²×C₁₃₉	1	2	yes	—
617	#385	C₂²×C₁₃₉	1	2	yes	—
618	#385	C₂²×C₁₃₉	1	2	yes	—
619	#385	C₂²×C₁₃₉	1	2	yes	—
620	#384	C₂²×C₁₃₉	1	2	yes	—
621	#380	C₂²×C₁₃₉	1	2	yes	—
622	#380	C₂²×C₁₃₉	1	2	yes	—
623	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
624	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
625	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
626	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
627	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
628	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
629	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
630	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
631	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
632	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
633	#376	C₂²×C₁₃₉	1	1	yes	characteristic
634	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
635	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
636	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
637	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
638	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
639	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
640	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
641	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
642	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
643	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
644	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
645	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
646	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
647	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
648	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
649	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
650	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
651	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
652	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
653	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
654	#126	—	2	8	no	—
655	#126	—	2	4	no	—
656	#126	—	2	4	no	—
657	#125	—	2	8	no	—
658	#125	—	2	4	no	—
659	#125	—	2	4	no	—
660	#123	—	2	8	no	—
661	#123	—	2	4	no	—
662	#123	—	2	4	no	—
663	#123	—	2	8	no	—
664	#123	—	2	8	no	—
665	C₂²⋊Q₈	—	2	4	no	—
666	C₂²⋊Q₈	—	2	4	no	—
667	#121	—	2	4	no	—
668	#121	—	2	4	no	—
669	#121	—	2	4	no	—
670	#121	—	2	4	no	—
671	C₄×Q₈	—	2	4	no	—
672	C₄×D₄	—	2	4	no	—
673	C₄×D₄	—	2	4	no	—
674	C₄×D₄	—	2	4	no	—
675	C₄×D₄	—	2	8	no	—
676	C₄×D₄	D₄×C₁₃₉	1	8	yes	—
677	#117	—	2	4	no	—
678	#117	—	2	8	no	—
679	#117	—	2	4	no	—
680	C₂×C₄⋊C₄	—	2	4	no	—
681	C₂×C₄⋊C₄	—	2	4	no	—
682	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
683	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
684	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
685	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
686	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
687	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
688	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
689	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
690	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
691	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
692	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
693	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
694	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
695	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
696	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
697	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
698	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
699	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
700	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
701	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
702	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
703	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
704	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
705	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
706	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
707	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
708	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
709	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
710	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
711	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
712	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
713	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
714	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
715	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
716	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
717	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
718	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
719	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
720	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
721	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
722	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
723	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
724	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
725	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
726	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
727	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
728	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
729	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
730	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
731	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
732	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
733	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
734	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
735	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
736	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
737	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
738	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
739	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
740	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
741	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
742	#95	C₂³×C₁₃₉	1	1	yes	characteristic
743	#95	C₂³×C₁₃₉	1	2	yes	—
744	#95	C₂³×C₁₃₉	1	1	yes	characteristic
745	#95	C₂³×C₁₃₉	1	2	yes	—
746	#95	C₂³×C₁₃₉	1	2	yes	—
747	#95	C₂³×C₁₃₉	1	1	yes	characteristic
748	#95	C₂³×C₁₃₉	1	2	yes	—
749	#95	C₂³×C₁₃₉	1	2	yes	—
750	#95	C₂³×C₁₃₉	1	2	yes	—
751	#95	C₂³×C₁₃₉	1	2	yes	—
752	#95	C₂³×C₁₃₉	1	2	yes	—
753	#95	C₂³×C₁₃₉	1	2	yes	—
754	#95	C₂³×C₁₃₉	1	2	yes	—
755	#95	C₂³×C₁₃₉	1	2	yes	—
756	#95	C₂³×C₁₃₉	1	1	yes	characteristic
757	#95	C₂³×C₁₃₉	1	2	yes	—
758	#95	C₂³×C₁₃₉	1	2	yes	—
759	#95	C₂³×C₁₃₉	1	2	yes	—
760	#95	C₂³×C₁₃₉	1	2	yes	—
761	#95	C₂³×C₁₃₉	1	2	yes	—
762	#95	C₂³×C₁₃₉	1	2	yes	—
763	#95	C₂³×C₁₃₉	1	2	yes	—
764	#95	C₂³×C₁₃₉	1	2	yes	—
765	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
766	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
767	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
768	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
769	C₂×Q₈	—	2	2	no	—
770	C₂×Q₈	—	4	2	no	—
771	C₂×D₄	—	2	4	no	—
772	C₂×D₄	—	2	2	no	—
773	C₂×D₄	—	2	2	no	—
774	C₂×D₄	—	2	2	no	—
775	C₂×D₄	—	2	4	no	—
776	C₂×D₄	—	2	4	no	—
777	C₂×D₄	—	2	2	no	—
778	C₂×D₄	—	2	2	no	—
779	C₂×D₄	—	2	2	no	—
780	C₂×D₄	—	4	1	no	—
781	C₂×D₄	—	4	2	no	—
782	C₂×D₄	—	4	2	no	—
783	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
784	C₂²×C₄	—	2	4	no	—
785	C₂²×C₄	—	2	2	no	—
786	C₂²×C₄	—	2	4	no	—
787	C₂²×C₄	—	2	4	no	—
788	C₂²×C₄	—	2	2	no	—
789	C₂²×C₄	—	2	4	no	—
790	C₂²×C₄	—	2	2	no	—
791	C₂²×C₄	—	2	2	no	—
792	C₂²×C₄	—	2	2	no	—
793	C₂²×C₄	—	2	2	no	—
794	C₂²×C₄	—	2	4	no	—
795	C₂²×C₄	—	4	1	no	—
796	C₂²×C₄	—	4	2	no	—
797	C₂²×C₄	—	4	2	no	—
798	C₂²×C₄	—	4	1	no	—
799	C₂²×C₄	—	4	2	no	—
800	C₂²×C₄	—	4	2	no	—
801	C₂²×C₄	—	4	2	no	—
802	C₂²×C₄	—	4	2	no	—
803	C₂²×C₄	—	4	2	no	—
804	C₂²×C₄	—	4	2	no	—
805	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
806	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
807	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
808	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
809	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
810	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
811	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
812	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
813	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
814	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
815	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
816	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
817	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
818	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
819	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
820	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
821	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
822	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
823	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
824	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
825	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
826	C₄⋊C₄	—	2	2	no	—
827	C₄⋊C₄	—	2	2	no	—
828	C₄⋊C₄	—	2	2	no	—
829	C₄⋊C₄	—	2	2	no	—
830	C₄⋊C₄	—	2	2	no	—
831	C₄⋊C₄	—	2	2	no	—
832	C₄⋊C₄	—	2	4	no	—
833	C₄⋊C₄	—	2	2	no	—
834	C₄⋊C₄	—	2	2	no	—
835	C₄⋊C₄	—	2	4	no	—
836	C₄⋊C₄	—	2	4	no	—
837	C₄⋊C₄	—	2	2	no	—
838	C₄⋊C₄	—	2	2	no	—
839	C₄⋊C₄	—	2	4	no	—
840	C₄⋊C₄	—	2	2	no	—
841	C₄⋊C₄	—	2	2	no	—
842	C₄⋊C₄	—	2	4	no	—
843	C₄⋊C₄	—	2	4	no	—
844	C₄⋊C₄	—	2	4	no	—
845	C₄⋊C₄	—	2	4	no	—
846	C₄⋊C₄	—	2	4	no	—
847	C₄⋊C₄	—	2	4	no	—
848	C₄⋊C₄	—	2	4	no	—
849	C₄⋊C₄	—	2	4	no	—
850	C₄⋊C₄	—	4	2	no	—
851	C₄⋊C₄	—	4	2	no	—
852	C₄⋊C₄	—	4	2	no	—
853	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
854	C₂²⋊C₄	—	2	4	no	—
855	C₂²⋊C₄	—	2	4	no	—
856	C₂²⋊C₄	—	2	2	no	—
857	C₂²⋊C₄	—	2	2	no	—
858	C₂²⋊C₄	—	2	4	no	—
859	C₂²⋊C₄	—	2	2	no	—
860	C₂²⋊C₄	—	2	2	no	—
861	C₂²⋊C₄	—	2	2	no	—
862	C₂²⋊C₄	—	2	2	no	—
863	C₂²⋊C₄	—	2	2	no	—
864	C₂²⋊C₄	—	2	2	no	—
865	C₂²⋊C₄	—	2	4	no	—
866	C₂²⋊C₄	—	2	4	no	—
867	C₂²⋊C₄	—	2	4	no	—
868	C₂²⋊C₄	—	2	4	no	—
869	C₂²⋊C₄	—	2	4	no	—
870	C₂²⋊C₄	—	4	2	no	—
871	C₂²⋊C₄	—	4	2	no	—
872	C₂²⋊C₄	—	4	2	no	—
873	C₂²⋊C₄	—	4	2	no	—
874	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
875	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
876	C₂²⋊C₄	#41×C₁₃₉	1	8	yes	—
877	C₄²	—	2	4	no	—
878	C₄²	—	2	2	no	—
879	C₄²	—	2	4	no	—
880	C₄²	—	2	2	no	—
881	C₄²	—	2	4	no	—
882	C₄²	—	4	2	no	—
883	C₄²	—	4	2	no	—
884	C₄²	—	4	2	no	—
885	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
886	C₂³	—	2	1	no	—
887	C₂³	—	2	2	no	—
888	C₂³	—	2	1	no	—
889	C₂³	—	2	2	no	—
890	C₂³	—	2	1	no	—
891	C₂³	—	2	2	no	—
892	C₂³	—	2	1	no	—
893	C₂³	—	2	1	no	—
894	C₂³	—	2	1	no	—
895	C₂³	—	2	2	no	—
896	C₂³	—	2	2	no	—
897	C₂³	—	2	1	no	—
898	C₂³	—	2	1	no	—
899	C₂³	—	2	1	no	—
900	C₂³	—	2	1	no	—
901	C₂³	—	2	2	no	—
902	C₂³	—	2	2	no	—
903	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
904	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
905	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
906	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
907	Q₈	—	4	4	no	—
908	D₄	—	2	8	no	—
909	D₄	—	4	4	no	—
910	D₄	—	4	4	no	—
911	D₄	—	4	4	no	—
912	D₄	—	8	2	no	—
913	D₄	—	8	2	no	—
914	C₂×C₄	—	2	1	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	1	no	—
920	C₂×C₄	—	2	2	no	—
921	C₂×C₄	—	2	2	no	—
922	C₂×C₄	—	2	2	no	—
923	C₂×C₄	—	2	2	no	—
924	C₂×C₄	—	2	1	no	—
925	C₂×C₄	—	2	2	no	—
926	C₂×C₄	—	2	2	no	—
927	C₂×C₄	—	2	2	no	—
928	C₂×C₄	—	2	1	no	—
929	C₂×C₄	—	2	1	no	—
930	C₂×C₄	—	2	2	no	—
931	C₂×C₄	—	2	1	no	—
932	C₂×C₄	—	2	1	no	—
933	C₂×C₄	—	2	2	no	—
934	C₂×C₄	—	2	1	no	—
935	C₂×C₄	—	2	2	no	—
936	C₂×C₄	—	2	2	no	—
937	C₂×C₄	—	2	2	no	—
938	C₂×C₄	—	2	2	no	—
939	C₂×C₄	—	2	2	no	—
940	C₂×C₄	—	2	2	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	2	no	—
944	C₂×C₄	—	2	1	no	—
945	C₂×C₄	—	2	2	no	—
946	C₂×C₄	—	2	2	no	—
947	C₂×C₄	—	2	2	no	—
948	C₂×C₄	—	2	2	no	—
949	C₂×C₄	—	2	2	no	—
950	C₂×C₄	—	2	2	no	—
951	C₂×C₄	—	2	2	no	—
952	C₂×C₄	—	2	1	no	—
953	C₂×C₄	—	2	2	no	—
954	C₂×C₄	—	2	2	no	—
955	C₂×C₄	—	4	4	no	—
956	C₂×C₄	—	4	4	no	—
957	C₂×C₄	—	4	4	no	—
958	C₂×C₄	—	4	4	no	—
959	C₂×C₄	—	4	8	no	—
960	C₂×C₄	—	8	2	no	—
961	C₂×C₄	—	8	4	no	—
962	C₂×C₄	—	8	2	no	—
963	C₂×C₄	—	8	4	no	—
964	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
965	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
966	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
967	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
968	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
969	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
970	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
971	C₂×C₄	2₋¹⁺⁴×C₁₃₉	1	2	yes	—
972	C₂²	—	2	2	no	—
973	C₂²	—	2	2	no	—
974	C₂²	—	2	4	no	—
975	C₂²	—	2	4	no	—
976	C₂²	—	2	2	no	—
977	C₂²	—	2	2	no	—
978	C₂²	—	2	2	no	—
979	C₂²	—	4	2	no	—
980	C₂²	—	4	2	no	—
981	C₂²	—	4	1	no	—
982	C₂²	—	4	1	no	—
983	C₂²	—	4	1	no	—
984	C₂²	—	4	1	no	—
985	C₂²	—	4	1	no	—
986	C₂²	—	4	1	no	—
987	C₂²	—	4	2	no	—
988	C₂²	—	4	2	no	—
989	C₂²	—	4	2	no	—
990	C₂²	—	4	2	no	—
991	C₂²	#532×C₁₃₉	1	4	yes	—
992	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
993	C₂²	C₂²×#41×C₁₃₉	1	2	yes	—
994	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	1	yes	characteristic
995	C₂²	#585×C₁₃₉	1	2	yes	—
996	C₂²	#585×C₁₃₉	1	1	yes	characteristic
997	C₄	—	2	2	no	—
998	C₄	—	2	2	no	—
999	C₄	—	2	2	no	—
1000	C₄	—	2	2	no	—
1001	C₄	—	2	2	no	—
1002	C₄	—	2	2	no	—
1003	C₄	—	2	4	no	—
1004	C₄	—	2	4	no	—
1005	C₄	—	4	2	no	—
1006	C₄	—	4	2	no	—
1007	C₄	—	4	1	no	—
1008	C₄	—	4	1	no	—
1009	C₄	—	4	1	no	—
1010	C₄	—	4	1	no	—
1011	C₄	—	4	2	no	—
1012	C₄	—	4	1	no	—
1013	C₄	—	4	2	no	—
1014	C₄	—	4	2	no	—
1015	C₄	—	4	2	no	—
1016	C₂	—	2	4	no	—
1017	C₂	—	4	2	no	—
1018	C₂	—	8	1	no	—
1019	C₂	—	8	1	no	—
1020	C₂	C₂×#532×C₁₃₉	1	1	yes	characteristic
1021	C₂	#3485×C₁₃₉	1	1	yes	characteristic
1022	C₂	#3489×C₁₃₉	1	1	yes	characteristic
1023	C₂	#3515×C₁₃₉	1	2	yes	—
1024	C₂	#3521×C₁₃₉	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	C₂×#553×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
2. C₂×#552×C₁₃₉	C₂	semidirect
3. #2664×C₁₃₉	C₂	semidirect
4. #2663×C₁₃₉	C₂	semidirect
5. #2639×C₁₃₉	C₂	semidirect
6. #2611×C₁₃₉	C₂	semidirect
7. #2604×C₁₃₉	C₂	semidirect
8. #2583×C₁₃₉	C₂	semidirect
9. #2564×C₁₃₉	C₂	semidirect
10. #2559×C₁₃₉	C₂	semidirect
11. #2558×C₁₃₉	C₂	semidirect
12. #2506×C₁₃₉	C₂	semidirect
13. #2501×C₁₃₉	C₂	semidirect
14. #2498×C₁₃₉	C₂	semidirect
15. #2496×C₁₃₉	C₂	semidirect
16. #2425×C₁₃₉	C₂	semidirect
17. #2425×C₁₃₉	C₂	semidirect
18. #2396×C₁₃₉	C₂	semidirect
19. #2395×C₁₃₉	C₂	semidirect
20. C₂×#400×C₁₃₉	C₂	semidirect
21. #2359×C₁₃₉	C₂	semidirect
22. #2359×C₁₃₉	C₂	semidirect
23. #2275×C₁₃₉	C₂	semidirect
512. #36045	C₁₃₉	direct (N × H)
513. C₁₃₉	#36045	direct (N × H)
515. C₂×#552	C₂×C₁₃₉	semidirect
516. #2664	C₂×C₁₃₉	semidirect
517. #2663	C₂×C₁₃₉	semidirect
518. #2639	C₂×C₁₃₉	semidirect
519. #2611	C₂×C₁₃₉	semidirect
520. #2604	C₂×C₁₃₉	semidirect
521. #2583	C₂×C₁₃₉	semidirect
522. #2564	C₂×C₁₃₉	semidirect
523. #2559	C₂×C₁₃₉	semidirect
524. #2558	C₂×C₁₃₉	semidirect
525. #2506	C₂×C₁₃₉	semidirect
526. #2501	C₂×C₁₃₉	semidirect
527. #2498	C₂×C₁₃₉	semidirect
528. #2496	C₂×C₁₃₉	semidirect
529. #2425	C₂×C₁₃₉	semidirect
530. #2425	C₂×C₁₃₉	semidirect
531. #2396	C₂×C₁₃₉	semidirect
532. #2395	C₂×C₁₃₉	semidirect
533. C₂×#400	C₂×C₁₃₉	semidirect
534. #2359	C₂×C₁₃₉	semidirect
535. #2359	C₂×C₁₃₉	semidirect
536. #2275	C₂×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#553×C₁₃₉	2
C₂×#552×C₁₃₉	2
#2664×C₁₃₉	2
#2663×C₁₃₉	2
#2639×C₁₃₉	2
#2611×C₁₃₉	2
#2604×C₁₃₉	2
#2583×C₁₃₉	2
#2564×C₁₃₉	2
#2559×C₁₃₉	2
#2558×C₁₃₉	2
#2506×C₁₃₉	2
#2501×C₁₃₉	2
#2498×C₁₃₉	2
#2496×C₁₃₉	2
#2425×C₁₃₉	2
#2396×C₁₃₉	2
#2395×C₁₃₉	2
C₂×#400×C₁₃₉	2
#2359×C₁₃₉	2
#2275×C₁₃₉	2
#36045	139

Subgroups — C139×#36045 #48030641

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36045 #48030641