Subgroups — C₁₃₉×#36021 #48030617

Order 35584.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1014 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#552×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#520×C₁₃₉	C₂	1	1	yes	maximal, characteristic
3	#2638×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2634×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2627×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2611×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2599×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	#2486×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
11	#2484×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2478×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2473×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2468×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2462×C₁₃₉	C₂	1	2	yes	maximal, complemented
16	#2419×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2406×C₁₃₉	C₂	1	2	yes	maximal
18	#2399×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2395×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#398×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2359×C₁₃₉	C₂	1	2	yes	maximal, complemented
22	#2353×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	#2344×C₁₃₉	C₂	1	2	yes	maximal, complemented
24	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic
25	#552×C₁₃₉	—	2	8	no	—
26	C₂×#126×C₁₃₉	C₂²	1	2	yes	—
27	C₂×#125×C₁₃₉	C₂²	1	1	yes	characteristic
28	C₂×#125×C₁₃₉	C₂²	1	2	yes	—
29	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
30	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
31	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
33	#520×C₁₃₉	—	2	8	no	—
34	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
41	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
44	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
45	C₂×#117×C₁₃₉	C₂²	1	2	yes	—
46	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
47	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
48	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
49	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
50	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
51	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
52	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
53	#400×C₁₃₉	C₂²	1	1	yes	characteristic
54	#400×C₁₃₉	C₂²	1	1	yes	characteristic
55	#400×C₁₃₉	C₂²	1	1	yes	characteristic
56	#400×C₁₃₉	C₂²	1	2	yes	—
57	#399×C₁₃₉	C₂²	1	1	yes	characteristic
58	#398×C₁₃₉	C₂²	1	1	yes	characteristic
59	#398×C₁₃₉	C₂²	1	1	yes	characteristic
60	#398×C₁₃₉	C₂²	1	1	yes	characteristic
61	#398×C₁₃₉	C₂²	1	2	yes	—
62	#398×C₁₃₉	C₂²	1	2	yes	—
63	#398×C₁₃₉	C₂²	1	1	yes	characteristic
64	#398×C₁₃₉	C₂²	1	1	yes	characteristic
65	#398×C₁₃₉	C₂²	1	2	yes	—
66	#398×C₁₃₉	C₂²	1	2	yes	—
67	#398×C₁₃₉	C₂²	1	2	yes	—
68	#398×C₁₃₉	C₂²	1	1	yes	characteristic
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	#395×C₁₃₉	C₂²	1	1	yes	characteristic
74	#395×C₁₃₉	C₂²	1	1	yes	characteristic
75	#395×C₁₃₉	C₂²	1	1	yes	characteristic
76	#395×C₁₃₉	C₂²	1	2	yes	—
77	#395×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	#389×C₁₃₉	C₂²	1	2	yes	—
82	#389×C₁₃₉	C₂²	1	2	yes	—
83	#389×C₁₃₉	C₂²	1	2	yes	—
84	#389×C₁₃₉	C₂²	1	2	yes	—
85	#388×C₁₃₉	C₂²	1	2	yes	—
86	#388×C₁₃₉	C₂²	1	2	yes	—
87	#388×C₁₃₉	C₂²	1	2	yes	—
88	#387×C₁₃₉	C₂²	1	2	yes	—
89	#387×C₁₃₉	C₂²	1	2	yes	—
90	#387×C₁₃₉	C₂²	1	2	yes	—
91	#387×C₁₃₉	C₂²	1	2	yes	—
92	#387×C₁₃₉	C₂²	1	2	yes	—
93	#387×C₁₃₉	C₂²	1	2	yes	—
94	#387×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	#386×C₁₃₉	C₂²	1	2	yes	—
99	#386×C₁₃₉	C₂²	1	2	yes	—
100	#385×C₁₃₉	C₂²	1	2	yes	—
101	#385×C₁₃₉	C₂²	1	2	yes	—
102	#385×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	#385×C₁₃₉	C₂²	1	2	yes	—
108	#383×C₁₃₉	C₂²	1	1	yes	characteristic
109	#381×C₁₃₉	C₂²	1	2	yes	—
110	#381×C₁₃₉	C₂²	1	2	yes	—
111	#381×C₁₃₉	C₂²	1	1	yes	characteristic
112	#381×C₁₃₉	C₂²	1	2	yes	—
113	#380×C₁₃₉	C₂²	1	2	yes	—
114	#380×C₁₃₉	C₂²	1	1	yes	characteristic
115	#380×C₁₃₉	C₂²	1	2	yes	—
116	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
117	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
118	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
121	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
122	#376×C₁₃₉	C₂²	1	1	yes	characteristic
123	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
124	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
125	C₂×#41×C₁₃₉	—	2	4	no	—
126	C₂×#41×C₁₃₉	—	2	4	no	—
127	C₂×#41×C₁₃₉	—	2	4	no	—
128	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
129	C₂²×Q₈×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	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
134	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
135	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
136	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
137	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
144	#126×C₁₃₉	—	2	8	no	—
145	#125×C₁₃₉	—	2	8	no	—
146	#125×C₁₃₉	—	2	4	no	—
147	#123×C₁₃₉	—	2	8	no	—
148	#123×C₁₃₉	—	2	8	no	—
149	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
150	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
151	C₄×Q₈×C₁₃₉	—	2	4	no	—
152	C₄×Q₈×C₁₃₉	—	2	4	no	—
153	C₄×Q₈×C₁₃₉	—	2	4	no	—
154	C₄×D₄×C₁₃₉	—	2	4	no	—
155	C₄×D₄×C₁₃₉	—	2	4	no	—
156	C₄×D₄×C₁₃₉	—	2	4	no	—
157	C₄×D₄×C₁₃₉	—	2	4	no	—
158	C₄×D₄×C₁₃₉	—	2	4	no	—
159	C₄×D₄×C₁₃₉	D₄	1	8	yes	—
160	#117×C₁₃₉	—	2	4	no	—
161	#117×C₁₃₉	—	2	4	no	—
162	#117×C₁₃₉	—	2	4	no	—
163	#117×C₁₃₉	—	2	8	no	—
164	#117×C₁₃₉	—	2	4	no	—
165	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
166	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
167	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
168	C₂×C₄⋊C₄×C₁₃₉	—	2	8	no	—
169	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
170	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
171	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
172	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
173	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
174	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
175	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
176	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
177	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
178	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
179	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
180	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
186	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
187	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
188	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
189	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
190	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
197	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
198	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
199	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
204	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
205	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
206	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
207	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
208	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
211	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
212	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
213	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
214	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
217	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
223	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
224	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
225	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
226	#95×C₁₃₉	C₂³	1	2	yes	—
227	#95×C₁₃₉	C₂³	1	2	yes	—
228	#95×C₁₃₉	C₂³	1	1	yes	characteristic
229	#95×C₁₃₉	C₂³	1	1	yes	characteristic
230	#95×C₁₃₉	C₂³	1	1	yes	characteristic
231	#95×C₁₃₉	C₂³	1	2	yes	—
232	#95×C₁₃₉	C₂³	1	2	yes	—
233	#95×C₁₃₉	C₂³	1	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	2	yes	—
239	#95×C₁₃₉	C₂³	1	2	yes	—
240	#95×C₁₃₉	C₂³	1	2	yes	—
241	#95×C₁₃₉	C₂³	1	2	yes	—
242	#95×C₁₃₉	C₂³	1	1	yes	characteristic
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	#95×C₁₃₉	C₂³	1	2	yes	—
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	#41×C₁₃₉	—	2	32	no	—
257	C₂×Q₈×C₁₃₉	—	2	2	no	—
258	C₂×Q₈×C₁₃₉	—	2	2	no	—
259	C₂×Q₈×C₁₃₉	—	2	2	no	—
260	C₂×Q₈×C₁₃₉	—	2	2	no	—
261	C₂×Q₈×C₁₃₉	—	4	2	no	—
262	C₂×D₄×C₁₃₉	—	2	2	no	—
263	C₂×D₄×C₁₃₉	—	2	2	no	—
264	C₂×D₄×C₁₃₉	—	2	2	no	—
265	C₂×D₄×C₁₃₉	—	2	2	no	—
266	C₂×D₄×C₁₃₉	—	2	2	no	—
267	C₂×D₄×C₁₃₉	—	2	2	no	—
268	C₂×D₄×C₁₃₉	—	2	2	no	—
269	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
270	C₂×D₄×C₁₃₉	#41	1	4	yes	—
271	C₂²×C₄×C₁₃₉	—	2	2	no	—
272	C₂²×C₄×C₁₃₉	—	2	2	no	—
273	C₂²×C₄×C₁₃₉	—	2	2	no	—
274	C₂²×C₄×C₁₃₉	—	2	2	no	—
275	C₂²×C₄×C₁₃₉	—	2	2	no	—
276	C₂²×C₄×C₁₃₉	—	2	2	no	—
277	C₂²×C₄×C₁₃₉	—	2	2	no	—
278	C₂²×C₄×C₁₃₉	—	2	2	no	—
279	C₂²×C₄×C₁₃₉	—	2	4	no	—
280	C₂²×C₄×C₁₃₉	—	2	4	no	—
281	C₂²×C₄×C₁₃₉	—	2	4	no	—
282	C₂²×C₄×C₁₃₉	—	2	4	no	—
283	C₂²×C₄×C₁₃₉	—	2	2	no	—
284	C₂²×C₄×C₁₃₉	—	2	2	no	—
285	C₂²×C₄×C₁₃₉	—	2	4	no	—
286	C₂²×C₄×C₁₃₉	—	2	2	no	—
287	C₂²×C₄×C₁₃₉	—	2	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	—	4	2	no	—
293	C₂²×C₄×C₁₃₉	—	4	2	no	—
294	C₂²×C₄×C₁₃₉	—	4	2	no	—
295	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
296	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
297	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
298	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
299	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
300	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
301	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
302	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
303	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
304	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
306	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
307	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
308	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
309	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
310	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
311	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
312	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
313	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
314	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
315	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
316	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
317	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
318	C₄⋊C₄×C₁₃₉	—	2	2	no	—
319	C₄⋊C₄×C₁₃₉	—	2	2	no	—
320	C₄⋊C₄×C₁₃₉	—	2	2	no	—
321	C₄⋊C₄×C₁₃₉	—	2	2	no	—
322	C₄⋊C₄×C₁₃₉	—	2	2	no	—
323	C₄⋊C₄×C₁₃₉	—	2	2	no	—
324	C₄⋊C₄×C₁₃₉	—	2	2	no	—
325	C₄⋊C₄×C₁₃₉	—	2	2	no	—
326	C₄⋊C₄×C₁₃₉	—	2	2	no	—
327	C₄⋊C₄×C₁₃₉	—	2	2	no	—
328	C₄⋊C₄×C₁₃₉	—	2	4	no	—
329	C₄⋊C₄×C₁₃₉	—	2	2	no	—
330	C₄⋊C₄×C₁₃₉	—	2	2	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	—	2	4	no	—
338	C₄⋊C₄×C₁₃₉	—	2	4	no	—
339	C₄⋊C₄×C₁₃₉	—	2	4	no	—
340	C₄⋊C₄×C₁₃₉	—	2	4	no	—
341	C₄⋊C₄×C₁₃₉	—	2	4	no	—
342	C₄⋊C₄×C₁₃₉	—	2	4	no	—
343	C₄⋊C₄×C₁₃₉	—	4	2	no	—
344	C₄⋊C₄×C₁₃₉	—	4	2	no	—
345	C₄⋊C₄×C₁₃₉	—	4	2	no	—
346	C₄⋊C₄×C₁₃₉	—	4	2	no	—
347	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
348	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
349	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
350	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
351	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
352	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
353	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
354	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
355	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
356	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
357	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
358	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
359	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
360	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
361	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
362	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
363	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
364	C₄²×C₁₃₉	—	2	4	no	—
365	C₄²×C₁₃₉	—	2	2	no	—
366	C₄²×C₁₃₉	—	2	2	no	—
367	C₄²×C₁₃₉	—	2	2	no	—
368	C₄²×C₁₃₉	—	2	2	no	—
369	C₄²×C₁₃₉	—	2	2	no	—
370	C₄²×C₁₃₉	—	2	4	no	—
371	C₄²×C₁₃₉	—	2	4	no	—
372	C₄²×C₁₃₉	—	4	2	no	—
373	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
374	C₂³×C₁₃₉	—	2	2	no	—
375	C₂³×C₁₃₉	—	2	2	no	—
376	C₂³×C₁₃₉	—	2	1	no	—
377	C₂³×C₁₃₉	—	2	1	no	—
378	C₂³×C₁₃₉	—	2	1	no	—
379	C₂³×C₁₃₉	—	2	1	no	—
380	C₂³×C₁₃₉	—	2	2	no	—
381	C₂³×C₁₃₉	—	2	2	no	—
382	C₂³×C₁₃₉	—	2	2	no	—
383	C₂³×C₁₃₉	—	2	2	no	—
384	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
385	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
386	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
387	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
388	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
389	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
390	Q₈×C₁₃₉	—	2	8	no	—
391	Q₈×C₁₃₉	—	4	4	no	—
392	D₄×C₁₃₉	—	2	8	no	—
393	D₄×C₁₃₉	—	2	8	no	—
394	D₄×C₁₃₉	—	2	8	no	—
395	C₂×C₄×C₁₃₉	—	2	8	no	—
396	C₂×C₄×C₁₃₉	—	2	8	no	—
397	C₂×C₄×C₁₃₉	—	2	8	no	—
398	C₂×C₄×C₁₃₉	—	2	1	no	—
399	C₂×C₄×C₁₃₉	—	2	1	no	—
400	C₂×C₄×C₁₃₉	—	2	1	no	—
401	C₂×C₄×C₁₃₉	—	2	2	no	—
402	C₂×C₄×C₁₃₉	—	2	1	no	—
403	C₂×C₄×C₁₃₉	—	2	1	no	—
404	C₂×C₄×C₁₃₉	—	2	1	no	—
405	C₂×C₄×C₁₃₉	—	2	1	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	2	no	—
412	C₂×C₄×C₁₃₉	—	2	1	no	—
413	C₂×C₄×C₁₃₉	—	2	2	no	—
414	C₂×C₄×C₁₃₉	—	2	2	no	—
415	C₂×C₄×C₁₃₉	—	2	2	no	—
416	C₂×C₄×C₁₃₉	—	2	1	no	—
417	C₂×C₄×C₁₃₉	—	2	1	no	—
418	C₂×C₄×C₁₃₉	—	2	1	no	—
419	C₂×C₄×C₁₃₉	—	2	2	no	—
420	C₂×C₄×C₁₃₉	—	2	2	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	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	2	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	2	no	—
440	C₂×C₄×C₁₃₉	—	2	2	no	—
441	C₂×C₄×C₁₃₉	—	4	4	no	—
442	C₂×C₄×C₁₃₉	—	4	4	no	—
443	C₂×C₄×C₁₃₉	—	4	8	no	—
444	C₂×C₄×C₁₃₉	—	4	8	no	—
445	C₂×C₄×C₁₃₉	—	8	2	no	—
446	C₂×C₄×C₁₃₉	—	8	2	no	—
447	C₂×C₄×C₁₃₉	—	8	2	no	—
448	C₂×C₄×C₁₃₉	—	8	2	no	—
449	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
450	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
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	C₂×#41	1	2	yes	—
455	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
456	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
457	C₂×C₄×C₁₃₉	2₋¹⁺⁴	1	4	yes	—
458	C₂²×C₁₃₉	—	2	2	no	—
459	C₂²×C₁₃₉	—	2	4	no	—
460	C₂²×C₁₃₉	—	2	2	no	—
461	C₂²×C₁₃₉	—	2	4	no	—
462	C₂²×C₁₃₉	—	2	2	no	—
463	C₂²×C₁₃₉	—	2	2	no	—
464	C₂²×C₁₃₉	—	2	2	no	—
465	C₂²×C₁₃₉	—	2	2	no	—
466	C₂²×C₁₃₉	—	2	4	no	—
467	C₂²×C₁₃₉	—	4	1	no	—
468	C₂²×C₁₃₉	—	4	2	no	—
469	C₂²×C₁₃₉	—	4	2	no	—
470	C₂²×C₁₃₉	—	4	1	no	—
471	C₂²×C₁₃₉	—	4	2	no	—
472	C₂²×C₁₃₉	#525	1	4	yes	—
473	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
474	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
475	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
476	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	2	yes	—
477	C₂²×C₁₃₉	#585	1	2	yes	—
478	C₄×C₁₃₉	—	2	2	no	—
479	C₄×C₁₃₉	—	2	2	no	—
480	C₄×C₁₃₉	—	2	2	no	—
481	C₄×C₁₃₉	—	2	2	no	—
482	C₄×C₁₃₉	—	2	2	no	—
483	C₄×C₁₃₉	—	2	2	no	—
484	C₄×C₁₃₉	—	2	2	no	—
485	C₄×C₁₃₉	—	2	4	no	—
486	C₄×C₁₃₉	—	2	2	no	—
487	C₄×C₁₃₉	—	4	2	no	—
488	C₄×C₁₃₉	—	4	2	no	—
489	C₄×C₁₃₉	—	4	1	no	—
490	C₄×C₁₃₉	—	4	1	no	—
491	C₄×C₁₃₉	—	4	1	no	—
492	C₄×C₁₃₉	—	4	2	no	—
493	C₄×C₁₃₉	—	4	2	no	—
494	C₄×C₁₃₉	—	4	1	no	—
495	C₄×C₁₃₉	—	4	2	no	—
496	C₄×C₁₃₉	—	4	2	no	—
497	C₄×C₁₃₉	—	4	2	no	—
498	C₂×C₁₃₉	—	2	4	no	—
499	C₂×C₁₃₉	—	4	2	no	—
500	C₂×C₁₃₉	—	4	2	no	—
501	C₂×C₁₃₉	C₂×#525	1	1	yes	characteristic
502	C₂×C₁₃₉	#3485	1	1	yes	characteristic
503	C₂×C₁₃₉	#3495	1	2	yes	—
504	C₂×C₁₃₉	#3499	1	1	yes	characteristic
505	C₂×C₁₃₉	#3515	1	2	yes	—
506	#36021	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
507	C₁₃₉	#36021	1	1	yes	characteristic, direct product factor, Sylow
508	C₂×#552	C₂×C₁₃₉	1	1	yes	characteristic, complemented
509	C₂×#520	C₂×C₁₃₉	1	1	yes	characteristic
510	#2638	C₂×C₁₃₉	1	1	yes	characteristic, complemented
511	#2634	C₂×C₁₃₉	1	1	yes	characteristic, complemented
512	#2627	C₂×C₁₃₉	1	1	yes	characteristic, complemented
513	#2611	C₂×C₁₃₉	1	1	yes	characteristic, complemented
514	#2599	C₂×C₁₃₉	1	1	yes	characteristic, complemented
515	#2583	C₂×C₁₃₉	1	1	yes	characteristic, complemented
516	#2564	C₂×C₁₃₉	1	1	yes	characteristic, complemented
517	#2486	C₂×C₁₃₉	1	1	yes	characteristic, complemented
518	#2484	C₂×C₁₃₉	1	1	yes	characteristic, complemented
519	#2478	C₂×C₁₃₉	1	2	yes	complemented
520	#2473	C₂×C₁₃₉	1	2	yes	complemented
521	#2468	C₂×C₁₃₉	1	2	yes	complemented
522	#2462	C₂×C₁₃₉	1	2	yes	complemented
523	#2419	C₂×C₁₃₉	1	2	yes	complemented
524	#2406	C₂×C₁₃₉	1	2	yes	—
525	#2399	C₂×C₁₃₉	1	1	yes	characteristic, complemented
526	#2395	C₂×C₁₃₉	1	1	yes	characteristic, complemented
527	C₂×#398	C₂×C₁₃₉	1	1	yes	characteristic, complemented
528	#2359	C₂×C₁₃₉	1	2	yes	complemented
529	#2353	C₂×C₁₃₉	1	1	yes	characteristic, complemented
530	#2344	C₂×C₁₃₉	1	2	yes	complemented
531	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic
532	#552	—	2	8	no	—
533	C₂×#126	C₂²×C₁₃₉	1	2	yes	—
534	C₂×#125	C₂²×C₁₃₉	1	1	yes	characteristic
535	C₂×#125	C₂²×C₁₃₉	1	2	yes	—
536	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
537	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
538	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
539	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
540	#520	—	2	8	no	—
541	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
542	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
543	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
544	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
545	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
546	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
547	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
548	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
549	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
550	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
551	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
552	C₂×#117	C₂²×C₁₃₉	1	2	yes	—
553	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
554	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
555	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
556	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
557	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
558	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
559	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
560	#400	C₂²×C₁₃₉	1	1	yes	characteristic
561	#400	C₂²×C₁₃₉	1	1	yes	characteristic
562	#400	C₂²×C₁₃₉	1	1	yes	characteristic
563	#400	C₂²×C₁₃₉	1	2	yes	—
564	#399	C₂²×C₁₃₉	1	1	yes	characteristic
565	#398	C₂²×C₁₃₉	1	1	yes	characteristic
566	#398	C₂²×C₁₃₉	1	1	yes	characteristic
567	#398	C₂²×C₁₃₉	1	1	yes	characteristic
568	#398	C₂²×C₁₃₉	1	2	yes	—
569	#398	C₂²×C₁₃₉	1	2	yes	—
570	#398	C₂²×C₁₃₉	1	1	yes	characteristic
571	#398	C₂²×C₁₃₉	1	1	yes	characteristic
572	#398	C₂²×C₁₃₉	1	2	yes	—
573	#398	C₂²×C₁₃₉	1	2	yes	—
574	#398	C₂²×C₁₃₉	1	2	yes	—
575	#398	C₂²×C₁₃₉	1	1	yes	characteristic
576	#397	C₂²×C₁₃₉	1	1	yes	characteristic
577	#397	C₂²×C₁₃₉	1	1	yes	characteristic
578	#397	C₂²×C₁₃₉	1	2	yes	—
579	#397	C₂²×C₁₃₉	1	2	yes	—
580	#395	C₂²×C₁₃₉	1	1	yes	characteristic
581	#395	C₂²×C₁₃₉	1	1	yes	characteristic
582	#395	C₂²×C₁₃₉	1	1	yes	characteristic
583	#395	C₂²×C₁₃₉	1	2	yes	—
584	#395	C₂²×C₁₃₉	1	2	yes	—
585	#394	C₂²×C₁₃₉	1	2	yes	—
586	#394	C₂²×C₁₃₉	1	2	yes	—
587	#393	C₂²×C₁₃₉	1	1	yes	characteristic
588	#389	C₂²×C₁₃₉	1	2	yes	—
589	#389	C₂²×C₁₃₉	1	2	yes	—
590	#389	C₂²×C₁₃₉	1	2	yes	—
591	#389	C₂²×C₁₃₉	1	2	yes	—
592	#388	C₂²×C₁₃₉	1	2	yes	—
593	#388	C₂²×C₁₃₉	1	2	yes	—
594	#388	C₂²×C₁₃₉	1	2	yes	—
595	#387	C₂²×C₁₃₉	1	2	yes	—
596	#387	C₂²×C₁₃₉	1	2	yes	—
597	#387	C₂²×C₁₃₉	1	2	yes	—
598	#387	C₂²×C₁₃₉	1	2	yes	—
599	#387	C₂²×C₁₃₉	1	2	yes	—
600	#387	C₂²×C₁₃₉	1	2	yes	—
601	#387	C₂²×C₁₃₉	1	2	yes	—
602	#387	C₂²×C₁₃₉	1	2	yes	—
603	#387	C₂²×C₁₃₉	1	2	yes	—
604	#387	C₂²×C₁₃₉	1	2	yes	—
605	#386	C₂²×C₁₃₉	1	2	yes	—
606	#386	C₂²×C₁₃₉	1	2	yes	—
607	#385	C₂²×C₁₃₉	1	2	yes	—
608	#385	C₂²×C₁₃₉	1	2	yes	—
609	#385	C₂²×C₁₃₉	1	2	yes	—
610	#385	C₂²×C₁₃₉	1	2	yes	—
611	#385	C₂²×C₁₃₉	1	2	yes	—
612	#385	C₂²×C₁₃₉	1	2	yes	—
613	#385	C₂²×C₁₃₉	1	2	yes	—
614	#385	C₂²×C₁₃₉	1	2	yes	—
615	#383	C₂²×C₁₃₉	1	1	yes	characteristic
616	#381	C₂²×C₁₃₉	1	2	yes	—
617	#381	C₂²×C₁₃₉	1	2	yes	—
618	#381	C₂²×C₁₃₉	1	1	yes	characteristic
619	#381	C₂²×C₁₃₉	1	2	yes	—
620	#380	C₂²×C₁₃₉	1	2	yes	—
621	#380	C₂²×C₁₃₉	1	1	yes	characteristic
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	2	yes	—
626	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
627	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
628	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
629	#376	C₂²×C₁₃₉	1	1	yes	characteristic
630	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
631	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
632	C₂×#41	—	2	4	no	—
633	C₂×#41	—	2	4	no	—
634	C₂×#41	—	2	4	no	—
635	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
636	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
637	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
638	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
639	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
640	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
641	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
642	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
643	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
644	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
645	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
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	1	yes	characteristic
651	#126	—	2	8	no	—
652	#125	—	2	8	no	—
653	#125	—	2	4	no	—
654	#123	—	2	8	no	—
655	#123	—	2	8	no	—
656	C₂²⋊Q₈	—	2	4	no	—
657	C₂²⋊Q₈	—	2	4	no	—
658	C₄×Q₈	—	2	4	no	—
659	C₄×Q₈	—	2	4	no	—
660	C₄×Q₈	—	2	4	no	—
661	C₄×D₄	—	2	4	no	—
662	C₄×D₄	—	2	4	no	—
663	C₄×D₄	—	2	4	no	—
664	C₄×D₄	—	2	4	no	—
665	C₄×D₄	—	2	4	no	—
666	C₄×D₄	D₄×C₁₃₉	1	8	yes	—
667	#117	—	2	4	no	—
668	#117	—	2	4	no	—
669	#117	—	2	4	no	—
670	#117	—	2	8	no	—
671	#117	—	2	4	no	—
672	C₂×C₄⋊C₄	—	2	4	no	—
673	C₂×C₄⋊C₄	—	2	4	no	—
674	C₂×C₄⋊C₄	—	2	4	no	—
675	C₂×C₄⋊C₄	—	2	8	no	—
676	C₂×C₄⋊C₄	—	2	4	no	—
677	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
678	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
679	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
680	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
681	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
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	2	yes	—
688	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
689	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
690	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
691	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
692	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
693	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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	2	yes	—
698	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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	1	yes	characteristic
707	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
708	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
709	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
710	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
711	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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	2	yes	—
715	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
716	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
717	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
718	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
719	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
720	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
721	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
722	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
723	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
724	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
725	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
726	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
727	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
728	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
729	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
730	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
731	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
732	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
733	#95	C₂³×C₁₃₉	1	1	yes	characteristic
734	#95	C₂³×C₁₃₉	1	2	yes	—
735	#95	C₂³×C₁₃₉	1	1	yes	characteristic
736	#95	C₂³×C₁₃₉	1	2	yes	—
737	#95	C₂³×C₁₃₉	1	2	yes	—
738	#95	C₂³×C₁₃₉	1	2	yes	—
739	#95	C₂³×C₁₃₉	1	2	yes	—
740	#95	C₂³×C₁₃₉	1	1	yes	characteristic
741	#95	C₂³×C₁₃₉	1	2	yes	—
742	#95	C₂³×C₁₃₉	1	1	yes	characteristic
743	#95	C₂³×C₁₃₉	1	2	yes	—
744	#95	C₂³×C₁₃₉	1	2	yes	—
745	#95	C₂³×C₁₃₉	1	2	yes	—
746	#95	C₂³×C₁₃₉	1	2	yes	—
747	#95	C₂³×C₁₃₉	1	2	yes	—
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	2	yes	—
757	#95	C₂³×C₁₃₉	1	2	yes	—
758	#95	C₂³×C₁₃₉	1	2	yes	—
759	#95	C₂³×C₁₃₉	1	2	yes	—
760	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
761	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
762	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
763	#41	—	2	32	no	—
764	C₂×Q₈	—	2	2	no	—
765	C₂×Q₈	—	2	2	no	—
766	C₂×Q₈	—	2	2	no	—
767	C₂×Q₈	—	2	2	no	—
768	C₂×Q₈	—	4	2	no	—
769	C₂×D₄	—	2	2	no	—
770	C₂×D₄	—	2	2	no	—
771	C₂×D₄	—	2	2	no	—
772	C₂×D₄	—	2	2	no	—
773	C₂×D₄	—	2	2	no	—
774	C₂×D₄	—	2	2	no	—
775	C₂×D₄	—	2	2	no	—
776	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
777	C₂×D₄	#41×C₁₃₉	1	4	yes	—
778	C₂²×C₄	—	2	2	no	—
779	C₂²×C₄	—	2	2	no	—
780	C₂²×C₄	—	2	2	no	—
781	C₂²×C₄	—	2	2	no	—
782	C₂²×C₄	—	2	2	no	—
783	C₂²×C₄	—	2	2	no	—
784	C₂²×C₄	—	2	2	no	—
785	C₂²×C₄	—	2	2	no	—
786	C₂²×C₄	—	2	4	no	—
787	C₂²×C₄	—	2	4	no	—
788	C₂²×C₄	—	2	4	no	—
789	C₂²×C₄	—	2	4	no	—
790	C₂²×C₄	—	2	2	no	—
791	C₂²×C₄	—	2	2	no	—
792	C₂²×C₄	—	2	4	no	—
793	C₂²×C₄	—	2	2	no	—
794	C₂²×C₄	—	2	2	no	—
795	C₂²×C₄	—	4	2	no	—
796	C₂²×C₄	—	4	2	no	—
797	C₂²×C₄	—	4	2	no	—
798	C₂²×C₄	—	4	2	no	—
799	C₂²×C₄	—	4	2	no	—
800	C₂²×C₄	—	4	2	no	—
801	C₂²×C₄	—	4	2	no	—
802	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
803	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
804	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
805	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
806	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
807	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
808	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
809	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
810	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
811	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
812	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
813	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
814	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
815	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
816	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
817	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
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	1	yes	characteristic
824	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
825	C₄⋊C₄	—	2	2	no	—
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	2	no	—
833	C₄⋊C₄	—	2	2	no	—
834	C₄⋊C₄	—	2	2	no	—
835	C₄⋊C₄	—	2	4	no	—
836	C₄⋊C₄	—	2	2	no	—
837	C₄⋊C₄	—	2	2	no	—
838	C₄⋊C₄	—	2	4	no	—
839	C₄⋊C₄	—	2	4	no	—
840	C₄⋊C₄	—	2	4	no	—
841	C₄⋊C₄	—	2	4	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	—	4	2	no	—
854	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
855	C₂²⋊C₄	—	2	2	no	—
856	C₂²⋊C₄	—	2	2	no	—
857	C₂²⋊C₄	—	2	4	no	—
858	C₂²⋊C₄	—	2	4	no	—
859	C₂²⋊C₄	—	2	4	no	—
860	C₂²⋊C₄	—	2	4	no	—
861	C₂²⋊C₄	—	2	4	no	—
862	C₂²⋊C₄	—	2	4	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	—	4	2	no	—
868	C₂²⋊C₄	—	4	2	no	—
869	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
870	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
871	C₄²	—	2	4	no	—
872	C₄²	—	2	2	no	—
873	C₄²	—	2	2	no	—
874	C₄²	—	2	2	no	—
875	C₄²	—	2	2	no	—
876	C₄²	—	2	2	no	—
877	C₄²	—	2	4	no	—
878	C₄²	—	2	4	no	—
879	C₄²	—	4	2	no	—
880	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
881	C₂³	—	2	2	no	—
882	C₂³	—	2	2	no	—
883	C₂³	—	2	1	no	—
884	C₂³	—	2	1	no	—
885	C₂³	—	2	1	no	—
886	C₂³	—	2	1	no	—
887	C₂³	—	2	2	no	—
888	C₂³	—	2	2	no	—
889	C₂³	—	2	2	no	—
890	C₂³	—	2	2	no	—
891	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
892	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
893	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
894	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
895	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
896	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
897	Q₈	—	2	8	no	—
898	Q₈	—	4	4	no	—
899	D₄	—	2	8	no	—
900	D₄	—	2	8	no	—
901	D₄	—	2	8	no	—
902	C₂×C₄	—	2	8	no	—
903	C₂×C₄	—	2	8	no	—
904	C₂×C₄	—	2	8	no	—
905	C₂×C₄	—	2	1	no	—
906	C₂×C₄	—	2	1	no	—
907	C₂×C₄	—	2	1	no	—
908	C₂×C₄	—	2	2	no	—
909	C₂×C₄	—	2	1	no	—
910	C₂×C₄	—	2	1	no	—
911	C₂×C₄	—	2	1	no	—
912	C₂×C₄	—	2	1	no	—
913	C₂×C₄	—	2	1	no	—
914	C₂×C₄	—	2	2	no	—
915	C₂×C₄	—	2	2	no	—
916	C₂×C₄	—	2	2	no	—
917	C₂×C₄	—	2	2	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	1	no	—
924	C₂×C₄	—	2	1	no	—
925	C₂×C₄	—	2	1	no	—
926	C₂×C₄	—	2	2	no	—
927	C₂×C₄	—	2	2	no	—
928	C₂×C₄	—	2	2	no	—
929	C₂×C₄	—	2	2	no	—
930	C₂×C₄	—	2	2	no	—
931	C₂×C₄	—	2	2	no	—
932	C₂×C₄	—	2	2	no	—
933	C₂×C₄	—	2	2	no	—
934	C₂×C₄	—	2	2	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	2	no	—
945	C₂×C₄	—	2	2	no	—
946	C₂×C₄	—	2	2	no	—
947	C₂×C₄	—	2	2	no	—
948	C₂×C₄	—	4	4	no	—
949	C₂×C₄	—	4	4	no	—
950	C₂×C₄	—	4	8	no	—
951	C₂×C₄	—	4	8	no	—
952	C₂×C₄	—	8	2	no	—
953	C₂×C₄	—	8	2	no	—
954	C₂×C₄	—	8	2	no	—
955	C₂×C₄	—	8	2	no	—
956	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
957	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
958	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
959	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
960	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
961	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
962	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
963	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
964	C₂×C₄	2₋¹⁺⁴×C₁₃₉	1	4	yes	—
965	C₂²	—	2	2	no	—
966	C₂²	—	2	4	no	—
967	C₂²	—	2	2	no	—
968	C₂²	—	2	4	no	—
969	C₂²	—	2	2	no	—
970	C₂²	—	2	2	no	—
971	C₂²	—	2	2	no	—
972	C₂²	—	2	2	no	—
973	C₂²	—	2	4	no	—
974	C₂²	—	4	1	no	—
975	C₂²	—	4	2	no	—
976	C₂²	—	4	2	no	—
977	C₂²	—	4	1	no	—
978	C₂²	—	4	2	no	—
979	C₂²	#525×C₁₃₉	1	4	yes	—
980	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
981	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
982	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
983	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	2	yes	—
984	C₂²	#585×C₁₃₉	1	2	yes	—
985	C₄	—	2	2	no	—
986	C₄	—	2	2	no	—
987	C₄	—	2	2	no	—
988	C₄	—	2	2	no	—
989	C₄	—	2	2	no	—
990	C₄	—	2	2	no	—
991	C₄	—	2	2	no	—
992	C₄	—	2	4	no	—
993	C₄	—	2	2	no	—
994	C₄	—	4	2	no	—
995	C₄	—	4	2	no	—
996	C₄	—	4	1	no	—
997	C₄	—	4	1	no	—
998	C₄	—	4	1	no	—
999	C₄	—	4	2	no	—
1000	C₄	—	4	2	no	—
1001	C₄	—	4	1	no	—
1002	C₄	—	4	2	no	—
1003	C₄	—	4	2	no	—
1004	C₄	—	4	2	no	—
1005	C₂	—	2	4	no	—
1006	C₂	—	4	2	no	—
1007	C₂	—	4	2	no	—
1008	C₂	C₂×#525×C₁₃₉	1	1	yes	characteristic
1009	C₂	#3485×C₁₃₉	1	1	yes	characteristic
1010	C₂	#3495×C₁₃₉	1	2	yes	—
1011	C₂	#3499×C₁₃₉	1	1	yes	characteristic
1012	C₂	#3515×C₁₃₉	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	C₂²×#41×C₁₃₉	C₂²
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. C₂×#552×C₁₃₉	C₂	semidirect
3. #2638×C₁₃₉	C₂	semidirect
4. #2634×C₁₃₉	C₂	semidirect
5. #2627×C₁₃₉	C₂	semidirect
6. #2611×C₁₃₉	C₂	semidirect
7. #2599×C₁₃₉	C₂	semidirect
8. #2583×C₁₃₉	C₂	semidirect
9. #2564×C₁₃₉	C₂	semidirect
10. #2486×C₁₃₉	C₂	semidirect
11. #2484×C₁₃₉	C₂	semidirect
12. #2478×C₁₃₉	C₂	semidirect
13. #2473×C₁₃₉	C₂	semidirect
14. #2468×C₁₃₉	C₂	semidirect
15. #2462×C₁₃₉	C₂	semidirect
16. #2419×C₁₃₉	C₂	semidirect
18. #2399×C₁₃₉	C₂	semidirect
19. #2395×C₁₃₉	C₂	semidirect
20. C₂×#398×C₁₃₉	C₂	semidirect
21. #2359×C₁₃₉	C₂	semidirect
22. #2353×C₁₃₉	C₂	semidirect
23. #2344×C₁₃₉	C₂	semidirect
506. #36021	C₁₃₉	direct (N × H)
507. C₁₃₉	#36021	direct (N × H)
508. C₂×#552	C₂×C₁₃₉	semidirect
510. #2638	C₂×C₁₃₉	semidirect
511. #2634	C₂×C₁₃₉	semidirect
512. #2627	C₂×C₁₃₉	semidirect
513. #2611	C₂×C₁₃₉	semidirect
514. #2599	C₂×C₁₃₉	semidirect
515. #2583	C₂×C₁₃₉	semidirect
516. #2564	C₂×C₁₃₉	semidirect
517. #2486	C₂×C₁₃₉	semidirect
518. #2484	C₂×C₁₃₉	semidirect
519. #2478	C₂×C₁₃₉	semidirect
520. #2473	C₂×C₁₃₉	semidirect
521. #2468	C₂×C₁₃₉	semidirect
522. #2462	C₂×C₁₃₉	semidirect
523. #2419	C₂×C₁₃₉	semidirect
525. #2399	C₂×C₁₃₉	semidirect
526. #2395	C₂×C₁₃₉	semidirect
527. C₂×#398	C₂×C₁₃₉	semidirect
528. #2359	C₂×C₁₃₉	semidirect
529. #2353	C₂×C₁₃₉	semidirect
530. #2344	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×#552×C₁₃₉	2
C₂×#520×C₁₃₉	2
#2638×C₁₃₉	2
#2634×C₁₃₉	2
#2627×C₁₃₉	2
#2611×C₁₃₉	2
#2599×C₁₃₉	2
#2583×C₁₃₉	2
#2564×C₁₃₉	2
#2486×C₁₃₉	2
#2484×C₁₃₉	2
#2478×C₁₃₉	2
#2473×C₁₃₉	2
#2468×C₁₃₉	2
#2462×C₁₃₉	2
#2419×C₁₃₉	2
#2406×C₁₃₉	2
#2399×C₁₃₉	2
#2395×C₁₃₉	2
C₂×#398×C₁₃₉	2
#2359×C₁₃₉	2
#2353×C₁₃₉	2
#2344×C₁₃₉	2
#36021	139

Subgroups — C139×#36021 #48030617

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36021 #48030617