Subgroups — C₁₃₉×#36139 #48030735

Order 35584.

2588 conjugacy classes of subgroups.

The subgroup lattice has 1106 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#532×C₁₃₉	C₂	1	1	yes	maximal, characteristic
2	C₂×#529×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2855×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2854×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2850×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2550×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2544×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2521×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2474×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2468×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2454×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2451×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2447×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2445×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2443×C₁₃₉	C₂	1	2	yes	maximal, complemented
16	#2425×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2406×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	#2367×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2359×C₁₃₉	C₂	1	2	yes	maximal, complemented
20	#2349×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2339×C₁₃₉	C₂	1	2	yes	maximal, complemented
22	C₄×#121×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×C₄⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₁₃₉	C₂²	1	2	yes	—
25	#532×C₁₃₉	—	2	8	no	—
26	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
27	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic
28	#529×C₁₃₉	—	2	8	no	—
29	C₂×#126×C₁₃₉	C₂²	1	2	yes	—
30	C₂×#125×C₁₃₉	C₂²	1	1	yes	characteristic
31	C₂×#124×C₁₃₉	C₂²	1	2	yes	—
32	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
35	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
36	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
37	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
40	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
41	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
44	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
47	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
49	C₂×#117×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×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
53	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
54	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
55	#399×C₁₃₉	C₂²	1	2	yes	—
56	#398×C₁₃₉	C₂²	1	2	yes	—
57	#398×C₁₃₉	C₂²	1	2	yes	—
58	#397×C₁₃₉	C₂²	1	2	yes	—
59	#397×C₁₃₉	C₂²	1	2	yes	—
60	#396×C₁₃₉	C₂²	1	2	yes	—
61	#395×C₁₃₉	C₂²	1	2	yes	—
62	#395×C₁₃₉	C₂²	1	2	yes	—
63	#394×C₁₃₉	C₂²	1	2	yes	—
64	#394×C₁₃₉	C₂²	1	2	yes	—
65	#394×C₁₃₉	C₂²	1	2	yes	—
66	#394×C₁₃₉	C₂²	1	2	yes	—
67	#391×C₁₃₉	C₂²	1	2	yes	—
68	#391×C₁₃₉	C₂²	1	1	yes	characteristic
69	#391×C₁₃₉	C₂²	1	1	yes	characteristic
70	#391×C₁₃₉	C₂²	1	2	yes	—
71	#391×C₁₃₉	C₂²	1	1	yes	characteristic
72	#390×C₁₃₉	C₂²	1	1	yes	characteristic
73	#390×C₁₃₉	C₂²	1	1	yes	characteristic
74	#390×C₁₃₉	C₂²	1	1	yes	characteristic
75	#390×C₁₃₉	C₂²	1	1	yes	characteristic
76	#389×C₁₃₉	C₂²	1	1	yes	characteristic
77	#389×C₁₃₉	C₂²	1	1	yes	characteristic
78	#389×C₁₃₉	C₂²	1	2	yes	—
79	#389×C₁₃₉	C₂²	1	1	yes	characteristic
80	#389×C₁₃₉	C₂²	1	1	yes	characteristic
81	#389×C₁₃₉	C₂²	1	1	yes	characteristic
82	#388×C₁₃₉	C₂²	1	2	yes	—
83	#388×C₁₃₉	C₂²	1	2	yes	—
84	#388×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	#388×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	#386×C₁₃₉	C₂²	1	2	yes	—
93	#386×C₁₃₉	C₂²	1	2	yes	—
94	#386×C₁₃₉	C₂²	1	2	yes	—
95	#386×C₁₃₉	C₂²	1	2	yes	—
96	#386×C₁₃₉	C₂²	1	2	yes	—
97	#386×C₁₃₉	C₂²	1	2	yes	—
98	#386×C₁₃₉	C₂²	1	2	yes	—
99	#385×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	#382×C₁₃₉	C₂²	1	1	yes	characteristic
106	#381×C₁₃₉	C₂²	1	2	yes	—
107	#381×C₁₃₉	C₂²	1	2	yes	—
108	#380×C₁₃₉	C₂²	1	2	yes	—
109	#380×C₁₃₉	C₂²	1	1	yes	characteristic
110	#380×C₁₃₉	C₂²	1	2	yes	—
111	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
112	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
113	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
114	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
115	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
116	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
117	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
118	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
119	C₄×C₄⋊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	C₂×#95×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	8	no	—
126	C₂×#41×C₁₃₉	—	2	8	no	—
127	C₂×#41×C₁₃₉	—	4	4	no	—
128	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
129	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
130	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
132	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
133	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
134	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
135	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
136	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
142	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
143	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
144	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
145	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
146	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
147	C₄⋊Q₈×C₁₃₉	—	2	4	no	—
148	#127×C₁₃₉	—	2	4	no	—
149	#126×C₁₃₉	—	2	8	no	—
150	#125×C₁₃₉	—	2	4	no	—
151	#124×C₁₃₉	—	2	4	no	—
152	#124×C₁₃₉	—	2	8	no	—
153	#124×C₁₃₉	—	2	4	no	—
154	#123×C₁₃₉	—	2	8	no	—
155	#123×C₁₃₉	—	2	8	no	—
156	#123×C₁₃₉	—	4	4	no	—
157	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
158	#121×C₁₃₉	—	2	8	no	—
159	#121×C₁₃₉	—	2	4	no	—
160	#121×C₁₃₉	D₄	1	8	yes	—
161	C₄×Q₈×C₁₃₉	—	2	4	no	—
162	C₄×D₄×C₁₃₉	—	2	4	no	—
163	C₄×D₄×C₁₃₉	—	2	8	no	—
164	C₄×D₄×C₁₃₉	—	2	4	no	—
165	C₄×D₄×C₁₃₉	—	2	4	no	—
166	C₄×D₄×C₁₃₉	—	2	8	no	—
167	C₄×D₄×C₁₃₉	—	2	4	no	—
168	C₄×D₄×C₁₃₉	—	4	4	no	—
169	#117×C₁₃₉	—	2	8	no	—
170	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
171	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
172	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
173	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
177	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
178	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
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	2	yes	—
185	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
186	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
187	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
188	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
192	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
193	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
194	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
195	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
196	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
197	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
198	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
199	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
200	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
201	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
202	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
203	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
204	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
205	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
206	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	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	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	2	yes	—
215	C₂×C₄²×C₁₃₉	—	2	4	no	—
216	C₂×C₄²×C₁₃₉	—	2	4	no	—
217	C₂×C₄²×C₁₃₉	—	2	4	no	—
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	1	yes	characteristic
223	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
225	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
227	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
230	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
231	C₂×C₄²×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	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	1	yes	characteristic
245	#95×C₁₃₉	C₂³	1	1	yes	characteristic
246	#95×C₁₃₉	C₂³	1	1	yes	characteristic
247	#95×C₁₃₉	C₂³	1	1	yes	characteristic
248	#95×C₁₃₉	C₂³	1	1	yes	characteristic
249	#95×C₁₃₉	C₂³	1	1	yes	characteristic
250	#95×C₁₃₉	C₂³	1	2	yes	—
251	#95×C₁₃₉	C₂³	1	2	yes	—
252	#95×C₁₃₉	C₂³	1	2	yes	—
253	#95×C₁₃₉	C₂³	1	2	yes	—
254	#95×C₁₃₉	C₂³	1	2	yes	—
255	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
256	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
257	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
258	#41×C₁₃₉	—	4	32	no	—
259	C₂×Q₈×C₁₃₉	—	2	2	no	—
260	C₂×Q₈×C₁₃₉	—	2	4	no	—
261	C₂×Q₈×C₁₃₉	—	2	2	no	—
262	C₂×Q₈×C₁₃₉	—	2	4	no	—
263	C₂×Q₈×C₁₃₉	—	2	2	no	—
264	C₂×Q₈×C₁₃₉	—	4	2	no	—
265	C₂×D₄×C₁₃₉	—	2	4	no	—
266	C₂×D₄×C₁₃₉	—	2	4	no	—
267	C₂×D₄×C₁₃₉	—	2	4	no	—
268	C₂×D₄×C₁₃₉	—	2	4	no	—
269	C₂×D₄×C₁₃₉	—	2	4	no	—
270	C₂×D₄×C₁₃₉	—	2	4	no	—
271	C₂×D₄×C₁₃₉	—	2	4	no	—
272	C₂×D₄×C₁₃₉	—	2	2	no	—
273	C₂×D₄×C₁₃₉	—	2	2	no	—
274	C₂×D₄×C₁₃₉	—	2	4	no	—
275	C₂×D₄×C₁₃₉	—	2	2	no	—
276	C₂×D₄×C₁₃₉	—	2	4	no	—
277	C₂×D₄×C₁₃₉	—	2	2	no	—
278	C₂×D₄×C₁₃₉	—	2	2	no	—
279	C₂×D₄×C₁₃₉	—	4	2	no	—
280	C₂×D₄×C₁₃₉	—	4	2	no	—
281	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
282	C₂×D₄×C₁₃₉	C₂×D₄	1	8	yes	—
283	C₂²×C₄×C₁₃₉	—	2	2	no	—
284	C₂²×C₄×C₁₃₉	—	2	2	no	—
285	C₂²×C₄×C₁₃₉	—	2	2	no	—
286	C₂²×C₄×C₁₃₉	—	2	2	no	—
287	C₂²×C₄×C₁₃₉	—	2	2	no	—
288	C₂²×C₄×C₁₃₉	—	2	2	no	—
289	C₂²×C₄×C₁₃₉	—	2	2	no	—
290	C₂²×C₄×C₁₃₉	—	2	2	no	—
291	C₂²×C₄×C₁₃₉	—	2	2	no	—
292	C₂²×C₄×C₁₃₉	—	2	2	no	—
293	C₂²×C₄×C₁₃₉	—	2	4	no	—
294	C₂²×C₄×C₁₃₉	—	2	4	no	—
295	C₂²×C₄×C₁₃₉	—	2	2	no	—
296	C₂²×C₄×C₁₃₉	—	2	2	no	—
297	C₂²×C₄×C₁₃₉	—	2	2	no	—
298	C₂²×C₄×C₁₃₉	—	2	4	no	—
299	C₂²×C₄×C₁₃₉	—	2	2	no	—
300	C₂²×C₄×C₁₃₉	—	2	2	no	—
301	C₂²×C₄×C₁₃₉	—	2	2	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	—	4	1	no	—
307	C₂²×C₄×C₁₃₉	—	4	1	no	—
308	C₂²×C₄×C₁₃₉	—	4	2	no	—
309	C₂²×C₄×C₁₃₉	—	4	1	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	C₂×D₄	1	4	yes	—
315	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
316	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
317	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
318	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
319	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
320	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
321	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
322	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
323	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
324	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
325	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
326	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
328	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
330	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
332	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
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	2	no	—
340	C₄⋊C₄×C₁₃₉	—	2	2	no	—
341	C₄⋊C₄×C₁₃₉	—	2	4	no	—
342	C₄⋊C₄×C₁₃₉	—	2	4	no	—
343	C₄⋊C₄×C₁₃₉	—	2	2	no	—
344	C₄⋊C₄×C₁₃₉	—	2	2	no	—
345	C₄⋊C₄×C₁₃₉	—	2	2	no	—
346	C₄⋊C₄×C₁₃₉	—	2	2	no	—
347	C₄⋊C₄×C₁₃₉	—	2	2	no	—
348	C₄⋊C₄×C₁₃₉	—	2	2	no	—
349	C₄⋊C₄×C₁₃₉	—	2	2	no	—
350	C₄⋊C₄×C₁₃₉	—	2	2	no	—
351	C₄⋊C₄×C₁₃₉	—	2	4	no	—
352	C₄⋊C₄×C₁₃₉	—	2	2	no	—
353	C₄⋊C₄×C₁₃₉	—	4	2	no	—
354	C₄⋊C₄×C₁₃₉	—	4	2	no	—
355	C₄⋊C₄×C₁₃₉	—	4	2	no	—
356	C₄⋊C₄×C₁₃₉	—	4	2	no	—
357	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
358	C₄⋊C₄×C₁₃₉	#41	1	4	yes	complemented
359	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
360	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
361	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
362	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
363	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
364	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
365	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
366	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
367	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
368	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
369	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
370	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
371	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
372	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
373	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
374	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
375	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
376	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
377	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
378	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	—
379	C₄²×C₁₃₉	—	2	2	no	—
380	C₄²×C₁₃₉	—	2	2	no	—
381	C₄²×C₁₃₉	—	2	2	no	—
382	C₄²×C₁₃₉	—	2	2	no	—
383	C₄²×C₁₃₉	—	2	2	no	—
384	C₄²×C₁₃₉	—	2	2	no	—
385	C₄²×C₁₃₉	—	2	2	no	—
386	C₄²×C₁₃₉	—	2	2	no	—
387	C₄²×C₁₃₉	—	2	4	no	—
388	C₄²×C₁₃₉	—	2	2	no	—
389	C₄²×C₁₃₉	—	2	2	no	—
390	C₄²×C₁₃₉	—	2	2	no	—
391	C₄²×C₁₃₉	—	4	2	no	—
392	C₄²×C₁₃₉	#41	1	4	yes	complemented
393	C₂³×C₁₃₉	—	2	1	no	—
394	C₂³×C₁₃₉	—	2	1	no	—
395	C₂³×C₁₃₉	—	2	1	no	—
396	C₂³×C₁₃₉	—	2	1	no	—
397	C₂³×C₁₃₉	—	2	2	no	—
398	C₂³×C₁₃₉	—	2	2	no	—
399	C₂³×C₁₃₉	—	2	2	no	—
400	C₂³×C₁₃₉	—	2	2	no	—
401	C₂³×C₁₃₉	—	2	2	no	—
402	C₂³×C₁₃₉	—	2	2	no	—
403	C₂³×C₁₃₉	—	2	2	no	—
404	C₂³×C₁₃₉	—	2	2	no	—
405	C₂³×C₁₃₉	—	2	2	no	—
406	C₂³×C₁₃₉	—	2	2	no	—
407	C₂³×C₁₃₉	—	2	2	no	—
408	C₂³×C₁₃₉	—	2	2	no	—
409	C₂³×C₁₃₉	—	2	2	no	—
410	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
411	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
412	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
413	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
414	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
415	Q₈×C₁₃₉	—	4	8	no	—
416	Q₈×C₁₃₉	—	4	4	no	—
417	D₄×C₁₃₉	—	2	16	no	—
418	D₄×C₁₃₉	—	2	8	no	—
419	D₄×C₁₃₉	—	4	8	no	—
420	D₄×C₁₃₉	—	4	8	no	—
421	D₄×C₁₃₉	—	4	8	no	—
422	D₄×C₁₃₉	—	4	4	no	—
423	C₂×C₄×C₁₃₉	—	2	8	no	—
424	C₂×C₄×C₁₃₉	—	2	8	no	—
425	C₂×C₄×C₁₃₉	—	2	1	no	—
426	C₂×C₄×C₁₃₉	—	2	1	no	—
427	C₂×C₄×C₁₃₉	—	2	1	no	—
428	C₂×C₄×C₁₃₉	—	2	1	no	—
429	C₂×C₄×C₁₃₉	—	2	1	no	—
430	C₂×C₄×C₁₃₉	—	2	1	no	—
431	C₂×C₄×C₁₃₉	—	2	1	no	—
432	C₂×C₄×C₁₃₉	—	2	1	no	—
433	C₂×C₄×C₁₃₉	—	2	1	no	—
434	C₂×C₄×C₁₃₉	—	2	2	no	—
435	C₂×C₄×C₁₃₉	—	2	1	no	—
436	C₂×C₄×C₁₃₉	—	2	2	no	—
437	C₂×C₄×C₁₃₉	—	2	1	no	—
438	C₂×C₄×C₁₃₉	—	2	1	no	—
439	C₂×C₄×C₁₃₉	—	2	1	no	—
440	C₂×C₄×C₁₃₉	—	2	1	no	—
441	C₂×C₄×C₁₃₉	—	2	1	no	—
442	C₂×C₄×C₁₃₉	—	2	1	no	—
443	C₂×C₄×C₁₃₉	—	2	8	no	—
444	C₂×C₄×C₁₃₉	—	2	1	no	—
445	C₂×C₄×C₁₃₉	—	2	1	no	—
446	C₂×C₄×C₁₃₉	—	2	1	no	—
447	C₂×C₄×C₁₃₉	—	2	1	no	—
448	C₂×C₄×C₁₃₉	—	2	2	no	—
449	C₂×C₄×C₁₃₉	—	2	2	no	—
450	C₂×C₄×C₁₃₉	—	2	2	no	—
451	C₂×C₄×C₁₃₉	—	2	1	no	—
452	C₂×C₄×C₁₃₉	—	2	2	no	—
453	C₂×C₄×C₁₃₉	—	2	2	no	—
454	C₂×C₄×C₁₃₉	—	2	2	no	—
455	C₂×C₄×C₁₃₉	—	2	2	no	—
456	C₂×C₄×C₁₃₉	—	2	1	no	—
457	C₂×C₄×C₁₃₉	—	2	1	no	—
458	C₂×C₄×C₁₃₉	—	2	1	no	—
459	C₂×C₄×C₁₃₉	—	2	1	no	—
460	C₂×C₄×C₁₃₉	—	2	2	no	—
461	C₂×C₄×C₁₃₉	—	2	2	no	—
462	C₂×C₄×C₁₃₉	—	2	2	no	—
463	C₂×C₄×C₁₃₉	—	2	1	no	—
464	C₂×C₄×C₁₃₉	—	2	1	no	—
465	C₂×C₄×C₁₃₉	—	2	1	no	—
466	C₂×C₄×C₁₃₉	—	2	2	no	—
467	C₂×C₄×C₁₃₉	—	2	2	no	—
468	C₂×C₄×C₁₃₉	—	2	2	no	—
469	C₂×C₄×C₁₃₉	—	2	1	no	—
470	C₂×C₄×C₁₃₉	—	2	1	no	—
471	C₂×C₄×C₁₃₉	—	2	2	no	—
472	C₂×C₄×C₁₃₉	—	2	2	no	—
473	C₂×C₄×C₁₃₉	—	2	1	no	—
474	C₂×C₄×C₁₃₉	—	4	8	no	—
475	C₂×C₄×C₁₃₉	—	4	4	no	—
476	C₂×C₄×C₁₃₉	—	4	8	no	—
477	C₂×C₄×C₁₃₉	—	4	4	no	—
478	C₂×C₄×C₁₃₉	—	4	4	no	—
479	C₂×C₄×C₁₃₉	—	4	8	no	—
480	C₂×C₄×C₁₃₉	—	4	4	no	—
481	C₂×C₄×C₁₃₉	—	8	4	no	—
482	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
483	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
484	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
485	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
486	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
487	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
488	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
489	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
490	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
491	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
492	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
493	C₂×C₄×C₁₃₉	2₋¹⁺⁴	1	2	yes	—
494	C₂²×C₁₃₉	—	2	2	no	—
495	C₂²×C₁₃₉	—	2	2	no	—
496	C₂²×C₁₃₉	—	2	2	no	—
497	C₂²×C₁₃₉	—	2	2	no	—
498	C₂²×C₁₃₉	—	2	2	no	—
499	C₂²×C₁₃₉	—	2	2	no	—
500	C₂²×C₁₃₉	—	2	4	no	—
501	C₂²×C₁₃₉	—	2	4	no	—
502	C₂²×C₁₃₉	—	2	4	no	—
503	C₂²×C₁₃₉	—	4	2	no	—
504	C₂²×C₁₃₉	—	4	2	no	—
505	C₂²×C₁₃₉	—	4	2	no	—
506	C₂²×C₁₃₉	—	4	2	no	—
507	C₂²×C₁₃₉	—	4	2	no	—
508	C₂²×C₁₃₉	—	4	2	no	—
509	C₂²×C₁₃₉	—	4	2	no	—
510	C₂²×C₁₃₉	—	4	2	no	—
511	C₂²×C₁₃₉	—	4	2	no	—
512	C₂²×C₁₃₉	—	4	2	no	—
513	C₂²×C₁₃₉	—	4	2	no	—
514	C₂²×C₁₃₉	#546	1	4	yes	—
515	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
516	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
517	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
518	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
519	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
520	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
521	C₂²×C₁₃₉	#585	1	1	yes	characteristic
522	C₄×C₁₃₉	—	2	2	no	—
523	C₄×C₁₃₉	—	2	2	no	—
524	C₄×C₁₃₉	—	2	2	no	—
525	C₄×C₁₃₉	—	2	2	no	—
526	C₄×C₁₃₉	—	2	4	no	—
527	C₄×C₁₃₉	—	2	2	no	—
528	C₄×C₁₃₉	—	2	2	no	—
529	C₄×C₁₃₉	—	2	2	no	—
530	C₄×C₁₃₉	—	2	2	no	—
531	C₄×C₁₃₉	—	4	1	no	—
532	C₄×C₁₃₉	—	4	1	no	—
533	C₄×C₁₃₉	—	4	2	no	—
534	C₄×C₁₃₉	—	4	2	no	—
535	C₄×C₁₃₉	—	4	1	no	—
536	C₄×C₁₃₉	—	4	1	no	—
537	C₄×C₁₃₉	—	4	2	no	—
538	C₄×C₁₃₉	—	4	1	no	—
539	C₄×C₁₃₉	—	4	2	no	—
540	C₄×C₁₃₉	—	4	2	no	—
541	C₄×C₁₃₉	#547	1	4	yes	—
542	C₂×C₁₃₉	—	2	4	no	—
543	C₂×C₁₃₉	—	4	4	no	—
544	C₂×C₁₃₉	—	8	2	no	—
545	C₂×C₁₃₉	#3444	1	1	yes	characteristic
546	C₂×C₁₃₉	C₂×#546	1	1	yes	characteristic
547	C₂×C₁₃₉	C₂×#547	1	1	yes	characteristic
548	C₂×C₁₃₉	D₄×#41	1	1	yes	characteristic
549	C₂×C₁₃₉	#3494	1	1	yes	characteristic
550	C₂×C₁₃₉	#3507	1	1	yes	characteristic
551	C₂×C₁₃₉	#3522	1	1	yes	characteristic
552	#36139	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
553	C₁₃₉	#36139	1	1	yes	characteristic, direct product factor, Sylow
554	C₂×#532	C₂×C₁₃₉	1	1	yes	characteristic
555	C₂×#529	C₂×C₁₃₉	1	1	yes	characteristic, complemented
556	#2855	C₂×C₁₃₉	1	1	yes	characteristic, complemented
557	#2854	C₂×C₁₃₉	1	1	yes	characteristic, complemented
558	#2850	C₂×C₁₃₉	1	1	yes	characteristic, complemented
559	#2550	C₂×C₁₃₉	1	1	yes	characteristic, complemented
560	#2544	C₂×C₁₃₉	1	1	yes	characteristic, complemented
561	#2521	C₂×C₁₃₉	1	2	yes	complemented
562	#2474	C₂×C₁₃₉	1	2	yes	complemented
563	#2468	C₂×C₁₃₉	1	2	yes	complemented
564	#2454	C₂×C₁₃₉	1	1	yes	characteristic, complemented
565	#2451	C₂×C₁₃₉	1	1	yes	characteristic, complemented
566	#2447	C₂×C₁₃₉	1	1	yes	characteristic, complemented
567	#2445	C₂×C₁₃₉	1	1	yes	characteristic, complemented
568	#2443	C₂×C₁₃₉	1	2	yes	complemented
569	#2425	C₂×C₁₃₉	1	2	yes	complemented
570	#2406	C₂×C₁₃₉	1	2	yes	complemented
571	#2367	C₂×C₁₃₉	1	1	yes	characteristic, complemented
572	#2359	C₂×C₁₃₉	1	2	yes	complemented
573	#2349	C₂×C₁₃₉	1	1	yes	characteristic, complemented
574	#2339	C₂×C₁₃₉	1	2	yes	complemented
575	C₄×#121	C₂×C₁₃₉	1	1	yes	characteristic, complemented
576	C₂×C₄×C₄⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
577	C₂²×#41	C₂²×C₁₃₉	1	2	yes	—
578	#532	—	2	8	no	—
579	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
580	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic
581	#529	—	2	8	no	—
582	C₂×#126	C₂²×C₁₃₉	1	2	yes	—
583	C₂×#125	C₂²×C₁₃₉	1	1	yes	characteristic
584	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
585	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
586	C₂×#124	C₂²×C₁₃₉	1	2	yes	—
587	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
588	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
589	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
590	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
591	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
592	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
593	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
594	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
595	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
596	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
597	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
598	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
599	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
600	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
601	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
602	C₂×#117	C₂²×C₁₃₉	1	2	yes	—
603	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
604	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
605	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
606	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
607	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
608	#399	C₂²×C₁₃₉	1	2	yes	—
609	#398	C₂²×C₁₃₉	1	2	yes	—
610	#398	C₂²×C₁₃₉	1	2	yes	—
611	#397	C₂²×C₁₃₉	1	2	yes	—
612	#397	C₂²×C₁₃₉	1	2	yes	—
613	#396	C₂²×C₁₃₉	1	2	yes	—
614	#395	C₂²×C₁₃₉	1	2	yes	—
615	#395	C₂²×C₁₃₉	1	2	yes	—
616	#394	C₂²×C₁₃₉	1	2	yes	—
617	#394	C₂²×C₁₃₉	1	2	yes	—
618	#394	C₂²×C₁₃₉	1	2	yes	—
619	#394	C₂²×C₁₃₉	1	2	yes	—
620	#391	C₂²×C₁₃₉	1	1	yes	characteristic
621	#391	C₂²×C₁₃₉	1	2	yes	—
622	#391	C₂²×C₁₃₉	1	2	yes	—
623	#391	C₂²×C₁₃₉	1	1	yes	characteristic
624	#391	C₂²×C₁₃₉	1	1	yes	characteristic
625	#390	C₂²×C₁₃₉	1	1	yes	characteristic
626	#390	C₂²×C₁₃₉	1	1	yes	characteristic
627	#390	C₂²×C₁₃₉	1	1	yes	characteristic
628	#390	C₂²×C₁₃₉	1	1	yes	characteristic
629	#389	C₂²×C₁₃₉	1	1	yes	characteristic
630	#389	C₂²×C₁₃₉	1	1	yes	characteristic
631	#389	C₂²×C₁₃₉	1	1	yes	characteristic
632	#389	C₂²×C₁₃₉	1	1	yes	characteristic
633	#389	C₂²×C₁₃₉	1	2	yes	—
634	#389	C₂²×C₁₃₉	1	1	yes	characteristic
635	#388	C₂²×C₁₃₉	1	2	yes	—
636	#388	C₂²×C₁₃₉	1	2	yes	—
637	#388	C₂²×C₁₃₉	1	2	yes	—
638	#388	C₂²×C₁₃₉	1	2	yes	—
639	#388	C₂²×C₁₃₉	1	2	yes	—
640	#388	C₂²×C₁₃₉	1	2	yes	—
641	#388	C₂²×C₁₃₉	1	2	yes	—
642	#387	C₂²×C₁₃₉	1	2	yes	—
643	#387	C₂²×C₁₃₉	1	2	yes	—
644	#387	C₂²×C₁₃₉	1	2	yes	—
645	#386	C₂²×C₁₃₉	1	2	yes	—
646	#386	C₂²×C₁₃₉	1	2	yes	—
647	#386	C₂²×C₁₃₉	1	2	yes	—
648	#386	C₂²×C₁₃₉	1	2	yes	—
649	#386	C₂²×C₁₃₉	1	2	yes	—
650	#386	C₂²×C₁₃₉	1	2	yes	—
651	#386	C₂²×C₁₃₉	1	2	yes	—
652	#385	C₂²×C₁₃₉	1	2	yes	—
653	#385	C₂²×C₁₃₉	1	2	yes	—
654	#385	C₂²×C₁₃₉	1	2	yes	—
655	#385	C₂²×C₁₃₉	1	2	yes	—
656	#385	C₂²×C₁₃₉	1	2	yes	—
657	#385	C₂²×C₁₃₉	1	2	yes	—
658	#382	C₂²×C₁₃₉	1	1	yes	characteristic
659	#381	C₂²×C₁₃₉	1	2	yes	—
660	#381	C₂²×C₁₃₉	1	2	yes	—
661	#380	C₂²×C₁₃₉	1	2	yes	—
662	#380	C₂²×C₁₃₉	1	1	yes	characteristic
663	#380	C₂²×C₁₃₉	1	2	yes	—
664	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
665	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
666	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
667	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
668	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
669	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
670	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
671	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
672	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
673	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
674	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
675	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
676	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
677	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
678	C₂×#41	—	2	8	no	—
679	C₂×#41	—	2	8	no	—
680	C₂×#41	—	4	4	no	—
681	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
682	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
683	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
684	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
685	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
686	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
687	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
688	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
689	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
690	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
691	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
692	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
693	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
694	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
695	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
696	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
697	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
698	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
699	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
700	C₄⋊Q₈	—	2	4	no	—
701	#127	—	2	4	no	—
702	#126	—	2	8	no	—
703	#125	—	2	4	no	—
704	#124	—	2	4	no	—
705	#124	—	2	8	no	—
706	#124	—	2	4	no	—
707	#123	—	2	8	no	—
708	#123	—	2	8	no	—
709	#123	—	4	4	no	—
710	C₂²⋊Q₈	—	2	4	no	—
711	#121	—	2	8	no	—
712	#121	—	2	4	no	—
713	#121	D₄×C₁₃₉	1	8	yes	—
714	C₄×Q₈	—	2	4	no	—
715	C₄×D₄	—	2	4	no	—
716	C₄×D₄	—	2	8	no	—
717	C₄×D₄	—	2	4	no	—
718	C₄×D₄	—	2	4	no	—
719	C₄×D₄	—	2	8	no	—
720	C₄×D₄	—	2	4	no	—
721	C₄×D₄	—	4	4	no	—
722	#117	—	2	8	no	—
723	C₂×C₄⋊C₄	—	2	4	no	—
724	C₂×C₄⋊C₄	—	2	4	no	—
725	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
726	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
727	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
728	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
729	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
730	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
731	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
732	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
733	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
734	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
735	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
736	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
737	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
738	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
739	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
740	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
741	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
742	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
743	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
744	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
745	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
746	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
747	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
748	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
749	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
750	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
751	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
752	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
753	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
754	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
755	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
756	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
757	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
758	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
759	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
760	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
761	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
762	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
763	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
764	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
765	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
766	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
767	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
768	C₂×C₄²	—	2	4	no	—
769	C₂×C₄²	—	2	4	no	—
770	C₂×C₄²	—	2	4	no	—
771	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
772	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
773	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
774	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
775	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
776	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
777	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
778	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
779	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
780	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
781	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
782	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
783	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
784	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
785	#95	C₂³×C₁₃₉	1	1	yes	characteristic
786	#95	C₂³×C₁₃₉	1	1	yes	characteristic
787	#95	C₂³×C₁₃₉	1	1	yes	characteristic
788	#95	C₂³×C₁₃₉	1	1	yes	characteristic
789	#95	C₂³×C₁₃₉	1	1	yes	characteristic
790	#95	C₂³×C₁₃₉	1	1	yes	characteristic
791	#95	C₂³×C₁₃₉	1	1	yes	characteristic
792	#95	C₂³×C₁₃₉	1	1	yes	characteristic
793	#95	C₂³×C₁₃₉	1	2	yes	—
794	#95	C₂³×C₁₃₉	1	2	yes	—
795	#95	C₂³×C₁₃₉	1	2	yes	—
796	#95	C₂³×C₁₃₉	1	2	yes	—
797	#95	C₂³×C₁₃₉	1	2	yes	—
798	#95	C₂³×C₁₃₉	1	2	yes	—
799	#95	C₂³×C₁₃₉	1	2	yes	—
800	#95	C₂³×C₁₃₉	1	2	yes	—
801	#95	C₂³×C₁₃₉	1	2	yes	—
802	#95	C₂³×C₁₃₉	1	2	yes	—
803	#95	C₂³×C₁₃₉	1	2	yes	—
804	#95	C₂³×C₁₃₉	1	2	yes	—
805	#95	C₂³×C₁₃₉	1	2	yes	—
806	#95	C₂³×C₁₃₉	1	2	yes	—
807	#95	C₂³×C₁₃₉	1	2	yes	—
808	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
809	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
810	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
811	#41	—	4	32	no	—
812	C₂×Q₈	—	2	2	no	—
813	C₂×Q₈	—	2	4	no	—
814	C₂×Q₈	—	2	2	no	—
815	C₂×Q₈	—	2	4	no	—
816	C₂×Q₈	—	2	2	no	—
817	C₂×Q₈	—	4	2	no	—
818	C₂×D₄	—	2	4	no	—
819	C₂×D₄	—	2	4	no	—
820	C₂×D₄	—	2	4	no	—
821	C₂×D₄	—	2	4	no	—
822	C₂×D₄	—	2	4	no	—
823	C₂×D₄	—	2	4	no	—
824	C₂×D₄	—	2	4	no	—
825	C₂×D₄	—	2	2	no	—
826	C₂×D₄	—	2	2	no	—
827	C₂×D₄	—	2	4	no	—
828	C₂×D₄	—	2	2	no	—
829	C₂×D₄	—	2	4	no	—
830	C₂×D₄	—	2	2	no	—
831	C₂×D₄	—	2	2	no	—
832	C₂×D₄	—	4	2	no	—
833	C₂×D₄	—	4	2	no	—
834	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
835	C₂×D₄	C₂×D₄×C₁₃₉	1	8	yes	—
836	C₂²×C₄	—	2	2	no	—
837	C₂²×C₄	—	2	2	no	—
838	C₂²×C₄	—	2	2	no	—
839	C₂²×C₄	—	2	2	no	—
840	C₂²×C₄	—	2	2	no	—
841	C₂²×C₄	—	2	2	no	—
842	C₂²×C₄	—	2	2	no	—
843	C₂²×C₄	—	2	2	no	—
844	C₂²×C₄	—	2	2	no	—
845	C₂²×C₄	—	2	2	no	—
846	C₂²×C₄	—	2	4	no	—
847	C₂²×C₄	—	2	4	no	—
848	C₂²×C₄	—	2	2	no	—
849	C₂²×C₄	—	2	2	no	—
850	C₂²×C₄	—	2	2	no	—
851	C₂²×C₄	—	2	4	no	—
852	C₂²×C₄	—	2	2	no	—
853	C₂²×C₄	—	2	2	no	—
854	C₂²×C₄	—	2	2	no	—
855	C₂²×C₄	—	2	4	no	—
856	C₂²×C₄	—	2	4	no	—
857	C₂²×C₄	—	2	4	no	—
858	C₂²×C₄	—	2	4	no	—
859	C₂²×C₄	—	4	1	no	—
860	C₂²×C₄	—	4	1	no	—
861	C₂²×C₄	—	4	2	no	—
862	C₂²×C₄	—	4	1	no	—
863	C₂²×C₄	—	4	2	no	—
864	C₂²×C₄	—	4	2	no	—
865	C₂²×C₄	—	4	2	no	—
866	C₂²×C₄	—	4	2	no	—
867	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
868	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
869	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
870	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
871	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
872	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
873	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
874	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
875	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
876	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
877	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
878	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
879	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
880	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
881	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
882	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
883	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
884	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
885	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
886	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
887	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
888	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
889	C₄⋊C₄	—	2	4	no	—
890	C₄⋊C₄	—	2	4	no	—
891	C₄⋊C₄	—	2	4	no	—
892	C₄⋊C₄	—	2	2	no	—
893	C₄⋊C₄	—	2	2	no	—
894	C₄⋊C₄	—	2	4	no	—
895	C₄⋊C₄	—	2	4	no	—
896	C₄⋊C₄	—	2	2	no	—
897	C₄⋊C₄	—	2	2	no	—
898	C₄⋊C₄	—	2	2	no	—
899	C₄⋊C₄	—	2	2	no	—
900	C₄⋊C₄	—	2	2	no	—
901	C₄⋊C₄	—	2	2	no	—
902	C₄⋊C₄	—	2	2	no	—
903	C₄⋊C₄	—	2	2	no	—
904	C₄⋊C₄	—	2	4	no	—
905	C₄⋊C₄	—	2	2	no	—
906	C₄⋊C₄	—	4	2	no	—
907	C₄⋊C₄	—	4	2	no	—
908	C₄⋊C₄	—	4	2	no	—
909	C₄⋊C₄	—	4	2	no	—
910	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
911	C₄⋊C₄	#41×C₁₃₉	1	4	yes	complemented
912	C₂²⋊C₄	—	2	4	no	—
913	C₂²⋊C₄	—	2	4	no	—
914	C₂²⋊C₄	—	2	4	no	—
915	C₂²⋊C₄	—	2	4	no	—
916	C₂²⋊C₄	—	2	4	no	—
917	C₂²⋊C₄	—	2	4	no	—
918	C₂²⋊C₄	—	2	4	no	—
919	C₂²⋊C₄	—	2	4	no	—
920	C₂²⋊C₄	—	2	4	no	—
921	C₂²⋊C₄	—	2	4	no	—
922	C₂²⋊C₄	—	2	4	no	—
923	C₂²⋊C₄	—	2	4	no	—
924	C₂²⋊C₄	—	2	4	no	—
925	C₂²⋊C₄	—	2	4	no	—
926	C₂²⋊C₄	—	4	2	no	—
927	C₂²⋊C₄	—	4	2	no	—
928	C₂²⋊C₄	—	4	2	no	—
929	C₂²⋊C₄	—	4	2	no	—
930	C₂²⋊C₄	—	4	2	no	—
931	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	—
932	C₄²	—	2	2	no	—
933	C₄²	—	2	2	no	—
934	C₄²	—	2	2	no	—
935	C₄²	—	2	2	no	—
936	C₄²	—	2	2	no	—
937	C₄²	—	2	2	no	—
938	C₄²	—	2	2	no	—
939	C₄²	—	2	2	no	—
940	C₄²	—	2	4	no	—
941	C₄²	—	2	2	no	—
942	C₄²	—	2	2	no	—
943	C₄²	—	2	2	no	—
944	C₄²	—	4	2	no	—
945	C₄²	#41×C₁₃₉	1	4	yes	complemented
946	C₂³	—	2	1	no	—
947	C₂³	—	2	1	no	—
948	C₂³	—	2	1	no	—
949	C₂³	—	2	1	no	—
950	C₂³	—	2	2	no	—
951	C₂³	—	2	2	no	—
952	C₂³	—	2	2	no	—
953	C₂³	—	2	2	no	—
954	C₂³	—	2	2	no	—
955	C₂³	—	2	2	no	—
956	C₂³	—	2	2	no	—
957	C₂³	—	2	2	no	—
958	C₂³	—	2	2	no	—
959	C₂³	—	2	2	no	—
960	C₂³	—	2	2	no	—
961	C₂³	—	2	2	no	—
962	C₂³	—	2	2	no	—
963	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
964	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
965	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
966	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
967	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
968	Q₈	—	4	8	no	—
969	Q₈	—	4	4	no	—
970	D₄	—	2	16	no	—
971	D₄	—	2	8	no	—
972	D₄	—	4	8	no	—
973	D₄	—	4	8	no	—
974	D₄	—	4	8	no	—
975	D₄	—	4	4	no	—
976	C₂×C₄	—	2	8	no	—
977	C₂×C₄	—	2	8	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	2	1	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	1	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	2	1	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	2	no	—
988	C₂×C₄	—	2	1	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	1	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	1	no	—
996	C₂×C₄	—	2	8	no	—
997	C₂×C₄	—	2	1	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	1	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	2	2	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	1	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	2	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	2	1	no	—
1017	C₂×C₄	—	2	1	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	2	no	—
1020	C₂×C₄	—	2	2	no	—
1021	C₂×C₄	—	2	2	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	2	no	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	4	8	no	—
1028	C₂×C₄	—	4	8	no	—
1029	C₂×C₄	—	4	4	no	—
1030	C₂×C₄	—	4	8	no	—
1031	C₂×C₄	—	4	4	no	—
1032	C₂×C₄	—	4	4	no	—
1033	C₂×C₄	—	4	4	no	—
1034	C₂×C₄	—	8	4	no	—
1035	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1036	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
1037	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1038	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1039	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1040	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1041	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1042	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1043	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1044	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1045	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1046	C₂×C₄	2₋¹⁺⁴×C₁₃₉	1	2	yes	—
1047	C₂²	—	2	2	no	—
1048	C₂²	—	2	2	no	—
1049	C₂²	—	2	2	no	—
1050	C₂²	—	2	2	no	—
1051	C₂²	—	2	2	no	—
1052	C₂²	—	2	2	no	—
1053	C₂²	—	2	4	no	—
1054	C₂²	—	2	4	no	—
1055	C₂²	—	2	4	no	—
1056	C₂²	—	4	2	no	—
1057	C₂²	—	4	2	no	—
1058	C₂²	—	4	2	no	—
1059	C₂²	—	4	2	no	—
1060	C₂²	—	4	2	no	—
1061	C₂²	—	4	2	no	—
1062	C₂²	—	4	2	no	—
1063	C₂²	—	4	2	no	—
1064	C₂²	—	4	2	no	—
1065	C₂²	—	4	2	no	—
1066	C₂²	—	4	2	no	—
1067	C₂²	#546×C₁₃₉	1	4	yes	—
1068	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1069	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1070	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1071	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1072	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1073	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	1	yes	characteristic
1074	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1075	C₄	—	2	2	no	—
1076	C₄	—	2	2	no	—
1077	C₄	—	2	2	no	—
1078	C₄	—	2	2	no	—
1079	C₄	—	2	4	no	—
1080	C₄	—	2	2	no	—
1081	C₄	—	2	2	no	—
1082	C₄	—	2	2	no	—
1083	C₄	—	2	2	no	—
1084	C₄	—	4	2	no	—
1085	C₄	—	4	1	no	—
1086	C₄	—	4	1	no	—
1087	C₄	—	4	2	no	—
1088	C₄	—	4	1	no	—
1089	C₄	—	4	1	no	—
1090	C₄	—	4	2	no	—
1091	C₄	—	4	1	no	—
1092	C₄	—	4	2	no	—
1093	C₄	—	4	2	no	—
1094	C₄	#547×C₁₃₉	1	4	yes	—
1095	C₂	—	2	4	no	—
1096	C₂	—	4	4	no	—
1097	C₂	—	8	2	no	—
1098	C₂	#3444×C₁₃₉	1	1	yes	characteristic
1099	C₂	C₂×#546×C₁₃₉	1	1	yes	characteristic
1100	C₂	C₂×#547×C₁₃₉	1	1	yes	characteristic
1101	C₂	D₄×#41×C₁₃₉	1	1	yes	characteristic
1102	C₂	#3494×C₁₃₉	1	1	yes	characteristic
1103	C₂	#3507×C₁₃₉	1	1	yes	characteristic
1104	C₂	#3522×C₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	C₂×#532×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×#529×C₁₃₉	C₂	semidirect
3. #2855×C₁₃₉	C₂	semidirect
4. #2854×C₁₃₉	C₂	semidirect
5. #2850×C₁₃₉	C₂	semidirect
6. #2550×C₁₃₉	C₂	semidirect
7. #2544×C₁₃₉	C₂	semidirect
8. #2521×C₁₃₉	C₂	semidirect
9. #2474×C₁₃₉	C₂	semidirect
10. #2468×C₁₃₉	C₂	semidirect
11. #2454×C₁₃₉	C₂	semidirect
12. #2451×C₁₃₉	C₂	semidirect
13. #2447×C₁₃₉	C₂	semidirect
14. #2445×C₁₃₉	C₂	semidirect
15. #2443×C₁₃₉	C₂	semidirect
16. #2425×C₁₃₉	C₂	semidirect
17. #2406×C₁₃₉	C₂	semidirect
18. #2367×C₁₃₉	C₂	semidirect
19. #2359×C₁₃₉	C₂	semidirect
20. #2349×C₁₃₉	C₂	semidirect
21. #2339×C₁₃₉	C₂	semidirect
22. C₄×#121×C₁₃₉	C₂	semidirect
23. C₂×C₄×C₄⋊C₄×C₁₃₉	C₂	semidirect
358. C₄⋊C₄×C₁₃₉	#41	semidirect
392. C₄²×C₁₃₉	#41	semidirect
552. #36139	C₁₃₉	direct (N × H)
553. C₁₃₉	#36139	direct (N × H)
555. C₂×#529	C₂×C₁₃₉	semidirect
556. #2855	C₂×C₁₃₉	semidirect
557. #2854	C₂×C₁₃₉	semidirect
558. #2850	C₂×C₁₃₉	semidirect
559. #2550	C₂×C₁₃₉	semidirect
560. #2544	C₂×C₁₃₉	semidirect
561. #2521	C₂×C₁₃₉	semidirect
562. #2474	C₂×C₁₃₉	semidirect
563. #2468	C₂×C₁₃₉	semidirect
564. #2454	C₂×C₁₃₉	semidirect
565. #2451	C₂×C₁₃₉	semidirect
566. #2447	C₂×C₁₃₉	semidirect
567. #2445	C₂×C₁₃₉	semidirect
568. #2443	C₂×C₁₃₉	semidirect
569. #2425	C₂×C₁₃₉	semidirect
570. #2406	C₂×C₁₃₉	semidirect
571. #2367	C₂×C₁₃₉	semidirect
572. #2359	C₂×C₁₃₉	semidirect
573. #2349	C₂×C₁₃₉	semidirect
574. #2339	C₂×C₁₃₉	semidirect
575. C₄×#121	C₂×C₁₃₉	semidirect
576. C₂×C₄×C₄⋊C₄	C₂×C₁₃₉	semidirect
911. C₄⋊C₄	#41×C₁₃₉	semidirect
945. C₄²	#41×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#532×C₁₃₉	2
C₂×#529×C₁₃₉	2
#2855×C₁₃₉	2
#2854×C₁₃₉	2
#2850×C₁₃₉	2
#2550×C₁₃₉	2
#2544×C₁₃₉	2
#2521×C₁₃₉	2
#2474×C₁₃₉	2
#2468×C₁₃₉	2
#2454×C₁₃₉	2
#2451×C₁₃₉	2
#2447×C₁₃₉	2
#2445×C₁₃₉	2
#2443×C₁₃₉	2
#2425×C₁₃₉	2
#2406×C₁₃₉	2
#2367×C₁₃₉	2
#2359×C₁₃₉	2
#2349×C₁₃₉	2
#2339×C₁₃₉	2
C₄×#121×C₁₃₉	2
C₂×C₄×C₄⋊C₄×C₁₃₉	2
#36139	139

Subgroups — C139×#36139 #48030735

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36139 #48030735