Subgroups — C₁₃₉×#36099 #48030695

Order 35584.

3634 conjugacy classes of subgroups.

The subgroup lattice has 1320 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#546×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#525×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×#123×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×C₄×D₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2854×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2849×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2849×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2539×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2534×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2464×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2461×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2456×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2455×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2449×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2424×C₁₃₉	C₂	1	2	yes	maximal, complemented
16	#2413×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2410×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2406×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2403×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#2361×C₁₃₉	C₂	1	2	yes	maximal, complemented
21	#2358×C₁₃₉	C₂	1	2	yes	maximal, complemented
22	#2342×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#123×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic
25	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
27	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
28	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
29	#546×C₁₃₉	—	2	8	no	—
30	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
31	#525×C₁₃₉	—	2	8	no	—
32	C₂×#123×C₁₃₉	—	2	8	no	—
33	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
39	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
40	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
41	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
42	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	complemented
44	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
45	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
46	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
47	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
48	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
49	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
50	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
51	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
52	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
53	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
54	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
55	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₄×D₄×C₁₃₉	—	2	8	no	—
57	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
59	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
60	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
61	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
63	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
64	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
65	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
66	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
67	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
68	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
69	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
70	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
71	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
72	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
73	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
74	#399×C₁₃₉	C₂²	1	2	yes	complemented
75	#398×C₁₃₉	C₂²	1	2	yes	complemented
76	#396×C₁₃₉	C₂²	1	2	yes	complemented
77	#396×C₁₃₉	C₂²	1	2	yes	complemented
78	#395×C₁₃₉	C₂²	1	2	yes	complemented
79	#394×C₁₃₉	C₂²	1	2	yes	complemented
80	#394×C₁₃₉	C₂²	1	2	yes	complemented
81	#394×C₁₃₉	C₂²	1	2	yes	complemented
82	#392×C₁₃₉	C₂²	1	2	yes	—
83	#392×C₁₃₉	C₂²	1	2	yes	—
84	#392×C₁₃₉	C₂²	1	2	yes	complemented
85	#392×C₁₃₉	C₂²	1	2	yes	complemented
86	#390×C₁₃₉	C₂²	1	2	yes	complemented
87	#390×C₁₃₉	C₂²	1	2	yes	complemented
88	#390×C₁₃₉	C₂²	1	2	yes	complemented
89	#389×C₁₃₉	C₂²	1	2	yes	complemented
90	#389×C₁₃₉	C₂²	1	2	yes	complemented
91	#388×C₁₃₉	C₂²	1	2	yes	complemented
92	#388×C₁₃₉	C₂²	1	2	yes	complemented
93	#388×C₁₃₉	C₂²	1	2	yes	complemented
94	#388×C₁₃₉	C₂²	1	2	yes	complemented
95	#388×C₁₃₉	C₂²	1	2	yes	complemented
96	#388×C₁₃₉	C₂²	1	2	yes	complemented
97	#388×C₁₃₉	C₂²	1	2	yes	complemented
98	#387×C₁₃₉	C₂²	1	2	yes	complemented
99	#386×C₁₃₉	C₂²	1	1	yes	characteristic
100	#386×C₁₃₉	C₂²	1	1	yes	characteristic
101	#386×C₁₃₉	C₂²	1	2	yes	—
102	#386×C₁₃₉	C₂²	1	2	yes	—
103	#386×C₁₃₉	C₂²	1	2	yes	complemented
104	#386×C₁₃₉	C₂²	1	2	yes	complemented
105	#386×C₁₃₉	C₂²	1	2	yes	complemented
106	#386×C₁₃₉	C₂²	1	2	yes	complemented
107	#386×C₁₃₉	C₂²	1	2	yes	complemented
108	#386×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
109	#385×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
110	#385×C₁₃₉	C₂²	1	2	yes	complemented
111	#385×C₁₃₉	C₂²	1	2	yes	complemented
112	#385×C₁₃₉	C₂²	1	2	yes	complemented
113	#385×C₁₃₉	C₂²	1	2	yes	complemented
114	#385×C₁₃₉	C₂²	1	2	yes	complemented
115	#385×C₁₃₉	C₂²	1	2	yes	complemented
116	#385×C₁₃₉	C₂²	1	2	yes	complemented
117	#381×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
118	#381×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
119	#381×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
120	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
121	#379×C₁₃₉	C₂²	1	1	yes	characteristic
122	#379×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
123	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
124	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
125	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
126	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
127	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
128	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
129	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
130	C₂×#41×C₁₃₉	—	2	4	no	—
131	C₂×#41×C₁₃₉	—	2	4	no	—
132	C₂×#41×C₁₃₉	—	4	2	no	—
133	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
134	C₂²×D₄×C₁₃₉	—	2	4	no	—
135	C₂²×D₄×C₁₃₉	—	2	8	no	—
136	C₂²×D₄×C₁₃₉	—	2	4	no	—
137	C₂²×D₄×C₁₃₉	—	2	4	no	—
138	C₂²×D₄×C₁₃₉	—	4	2	no	—
139	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
140	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
141	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
142	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
143	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
144	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
145	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
146	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
147	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
148	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
149	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
150	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
151	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
152	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₁₃₉	—	2	4	no	—
154	C₂³×C₄×C₁₃₉	—	2	4	no	—
155	C₂³×C₄×C₁₃₉	—	2	4	no	—
156	C₂³×C₄×C₁₃₉	—	2	4	no	—
157	C₂³×C₄×C₁₃₉	—	4	2	no	—
158	C₂³×C₄×C₁₃₉	—	4	2	no	—
159	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
160	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
161	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
162	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
163	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
164	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
165	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
166	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
167	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
168	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
169	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
170	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
171	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
172	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
173	#124×C₁₃₉	—	2	4	no	—
174	#123×C₁₃₉	—	2	4	no	—
175	#123×C₁₃₉	—	2	4	no	—
176	#123×C₁₃₉	—	2	4	no	—
177	#123×C₁₃₉	—	2	4	no	—
178	#123×C₁₃₉	—	2	8	no	—
179	#123×C₁₃₉	—	2	4	no	—
180	#123×C₁₃₉	—	2	4	no	—
181	#123×C₁₃₉	—	2	8	no	—
182	#123×C₁₃₉	—	4	2	no	—
183	#123×C₁₃₉	D₄	1	8	yes	complemented
184	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
185	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
186	#121×C₁₃₉	—	2	8	no	—
187	#121×C₁₃₉	—	2	4	no	—
188	#121×C₁₃₉	—	2	4	no	—
189	#121×C₁₃₉	—	2	4	no	—
190	#121×C₁₃₉	—	2	8	no	—
191	#120×C₁₃₉	—	2	4	no	—
192	#120×C₁₃₉	—	2	4	no	—
193	#120×C₁₃₉	—	2	8	no	—
194	#120×C₁₃₉	—	2	4	no	—
195	#120×C₁₃₉	—	2	4	no	—
196	#120×C₁₃₉	—	4	2	no	—
197	C₄×D₄×C₁₃₉	—	2	4	no	—
198	C₄×D₄×C₁₃₉	—	2	8	no	—
199	C₄×D₄×C₁₃₉	—	2	8	no	—
200	C₄×D₄×C₁₃₉	—	2	8	no	—
201	C₄×D₄×C₁₃₉	—	2	8	no	—
202	C₄×D₄×C₁₃₉	—	2	8	no	—
203	C₄×D₄×C₁₃₉	—	2	4	no	—
204	C₄×D₄×C₁₃₉	—	2	8	no	—
205	#117×C₁₃₉	—	2	4	no	—
206	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
207	C₂×C₄⋊C₄×C₁₃₉	—	2	8	no	—
208	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
209	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
210	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
212	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
213	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
215	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
217	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
218	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
219	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
221	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
222	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
223	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
224	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
225	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
226	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
227	C₂×C₂²⋊C₄×C₁₃₉	D₄	1	8	yes	complemented
228	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
230	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
231	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
232	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
233	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
234	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
236	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
237	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
241	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
242	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
247	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
250	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
251	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
252	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
253	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
254	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
255	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
256	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
257	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
263	C₂×C₄²×C₁₃₉	—	2	4	no	—
264	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
265	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
266	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
267	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
268	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
269	#95×C₁₃₉	C₂³	1	2	yes	—
270	#95×C₁₃₉	C₂³	1	2	yes	—
271	#95×C₁₃₉	C₂³	1	2	yes	—
272	#95×C₁₃₉	C₂³	1	2	yes	—
273	#95×C₁₃₉	C₂³	1	2	yes	—
274	#95×C₁₃₉	C₂³	1	2	yes	—
275	#95×C₁₃₉	C₂³	1	2	yes	—
276	#95×C₁₃₉	C₂³	1	2	yes	—
277	#95×C₁₃₉	C₂³	1	2	yes	—
278	#95×C₁₃₉	C₂³	1	2	yes	—
279	#95×C₁₃₉	C₂³	1	2	yes	—
280	#95×C₁₃₉	C₂³	1	2	yes	—
281	C₂⁴×C₁₃₉	—	2	2	no	—
282	C₂⁴×C₁₃₉	—	2	2	no	—
283	C₂⁴×C₁₃₉	—	2	4	no	—
284	C₂⁴×C₁₃₉	—	2	4	no	—
285	C₂⁴×C₁₃₉	—	2	2	no	—
286	C₂⁴×C₁₃₉	—	2	2	no	—
287	C₂⁴×C₁₃₉	—	2	2	no	—
288	C₂⁴×C₁₃₉	—	2	2	no	—
289	C₂⁴×C₁₃₉	—	2	2	no	—
290	C₂⁴×C₁₃₉	—	2	4	no	—
291	C₂⁴×C₁₃₉	—	4	2	no	—
292	C₂⁴×C₁₃₉	—	4	2	no	—
293	C₂⁴×C₁₃₉	—	4	1	no	—
294	C₂⁴×C₁₃₉	—	4	2	no	—
295	C₂⁴×C₁₃₉	C₂×D₄	1	4	yes	—
296	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
297	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
298	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
299	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
300	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
301	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
302	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
303	#41×C₁₃₉	—	4	16	no	—
304	C₂×Q₈×C₁₃₉	—	2	2	no	—
305	C₂×Q₈×C₁₃₉	—	2	2	no	—
306	C₂×Q₈×C₁₃₉	—	4	1	no	—
307	C₂×D₄×C₁₃₉	—	2	32	no	—
308	C₂×D₄×C₁₃₉	—	2	4	no	—
309	C₂×D₄×C₁₃₉	—	2	4	no	—
310	C₂×D₄×C₁₃₉	—	2	2	no	—
311	C₂×D₄×C₁₃₉	—	2	4	no	—
312	C₂×D₄×C₁₃₉	—	2	4	no	—
313	C₂×D₄×C₁₃₉	—	2	2	no	—
314	C₂×D₄×C₁₃₉	—	2	2	no	—
315	C₂×D₄×C₁₃₉	—	2	4	no	—
316	C₂×D₄×C₁₃₉	—	2	2	no	—
317	C₂×D₄×C₁₃₉	—	2	2	no	—
318	C₂×D₄×C₁₃₉	—	2	2	no	—
319	C₂×D₄×C₁₃₉	—	2	2	no	—
320	C₂×D₄×C₁₃₉	—	2	2	no	—
321	C₂×D₄×C₁₃₉	—	2	2	no	—
322	C₂×D₄×C₁₃₉	—	2	2	no	—
323	C₂×D₄×C₁₃₉	—	2	2	no	—
324	C₂×D₄×C₁₃₉	—	2	4	no	—
325	C₂×D₄×C₁₃₉	—	2	4	no	—
326	C₂×D₄×C₁₃₉	—	2	4	no	—
327	C₂×D₄×C₁₃₉	—	2	2	no	—
328	C₂×D₄×C₁₃₉	—	2	2	no	—
329	C₂×D₄×C₁₃₉	—	2	2	no	—
330	C₂×D₄×C₁₃₉	—	2	4	no	—
331	C₂×D₄×C₁₃₉	—	2	4	no	—
332	C₂×D₄×C₁₃₉	—	2	2	no	—
333	C₂×D₄×C₁₃₉	—	2	2	no	—
334	C₂×D₄×C₁₃₉	—	2	2	no	—
335	C₂×D₄×C₁₃₉	—	2	4	no	—
336	C₂×D₄×C₁₃₉	—	4	1	no	—
337	C₂×D₄×C₁₃₉	—	4	1	no	—
338	C₂×D₄×C₁₃₉	—	4	2	no	—
339	C₂×D₄×C₁₃₉	—	4	2	no	—
340	C₂×D₄×C₁₃₉	—	4	1	no	—
341	C₂×D₄×C₁₃₉	—	4	2	no	—
342	C₂×D₄×C₁₃₉	—	4	2	no	—
343	C₂×D₄×C₁₃₉	—	4	2	no	—
344	C₂×D₄×C₁₃₉	—	4	2	no	—
345	C₂×D₄×C₁₃₉	—	4	16	no	—
346	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
347	C₂×D₄×C₁₃₉	#41	1	8	yes	complemented
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	2	no	—
353	C₂²×C₄×C₁₃₉	—	2	4	no	—
354	C₂²×C₄×C₁₃₉	—	2	2	no	—
355	C₂²×C₄×C₁₃₉	—	2	4	no	—
356	C₂²×C₄×C₁₃₉	—	2	4	no	—
357	C₂²×C₄×C₁₃₉	—	2	2	no	—
358	C₂²×C₄×C₁₃₉	—	2	2	no	—
359	C₂²×C₄×C₁₃₉	—	2	2	no	—
360	C₂²×C₄×C₁₃₉	—	2	4	no	—
361	C₂²×C₄×C₁₃₉	—	2	2	no	—
362	C₂²×C₄×C₁₃₉	—	2	4	no	—
363	C₂²×C₄×C₁₃₉	—	2	4	no	—
364	C₂²×C₄×C₁₃₉	—	2	2	no	—
365	C₂²×C₄×C₁₃₉	—	2	2	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	2	no	—
370	C₂²×C₄×C₁₃₉	—	2	2	no	—
371	C₂²×C₄×C₁₃₉	—	2	4	no	—
372	C₂²×C₄×C₁₃₉	—	2	4	no	—
373	C₂²×C₄×C₁₃₉	—	2	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	—	4	2	no	—
379	C₂²×C₄×C₁₃₉	—	4	2	no	—
380	C₂²×C₄×C₁₃₉	—	4	1	no	—
381	C₂²×C₄×C₁₃₉	—	4	1	no	—
382	C₂²×C₄×C₁₃₉	—	4	1	no	—
383	C₂²×C₄×C₁₃₉	—	4	16	no	—
384	C₂²×C₄×C₁₃₉	—	4	2	no	—
385	C₂²×C₄×C₁₃₉	—	4	16	no	—
386	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
387	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
388	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
389	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
390	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
393	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
394	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
395	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
399	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
401	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
405	C₄⋊C₄×C₁₃₉	—	2	4	no	—
406	C₄⋊C₄×C₁₃₉	—	2	4	no	—
407	C₄⋊C₄×C₁₃₉	—	2	4	no	—
408	C₄⋊C₄×C₁₃₉	—	2	4	no	—
409	C₄⋊C₄×C₁₃₉	—	2	4	no	—
410	C₄⋊C₄×C₁₃₉	—	2	4	no	—
411	C₄⋊C₄×C₁₃₉	—	2	2	no	—
412	C₄⋊C₄×C₁₃₉	—	2	4	no	—
413	C₄⋊C₄×C₁₃₉	—	2	2	no	—
414	C₄⋊C₄×C₁₃₉	—	2	2	no	—
415	C₄⋊C₄×C₁₃₉	—	2	2	no	—
416	C₄⋊C₄×C₁₃₉	—	2	4	no	—
417	C₄⋊C₄×C₁₃₉	—	4	2	no	—
418	C₄⋊C₄×C₁₃₉	—	4	2	no	—
419	C₄⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	complemented
420	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
421	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
422	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
423	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
424	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
425	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
426	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
427	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
428	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
429	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
430	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
431	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
432	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
433	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
434	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
435	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
436	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
437	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
438	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
439	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
440	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
441	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
442	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
443	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
444	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
445	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
446	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
447	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
448	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
449	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
450	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
451	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
452	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
453	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
454	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	complemented
455	C₄²×C₁₃₉	—	2	4	no	—
456	C₄²×C₁₃₉	—	2	4	no	—
457	C₄²×C₁₃₉	—	2	4	no	—
458	C₄²×C₁₃₉	—	2	2	no	—
459	C₄²×C₁₃₉	—	4	2	no	—
460	C₂³×C₁₃₉	—	2	1	no	—
461	C₂³×C₁₃₉	—	2	2	no	—
462	C₂³×C₁₃₉	—	2	1	no	—
463	C₂³×C₁₃₉	—	2	2	no	—
464	C₂³×C₁₃₉	—	2	2	no	—
465	C₂³×C₁₃₉	—	2	8	no	—
466	C₂³×C₁₃₉	—	2	8	no	—
467	C₂³×C₁₃₉	—	2	8	no	—
468	C₂³×C₁₃₉	—	2	2	no	—
469	C₂³×C₁₃₉	—	2	1	no	—
470	C₂³×C₁₃₉	—	2	2	no	—
471	C₂³×C₁₃₉	—	2	1	no	—
472	C₂³×C₁₃₉	—	2	2	no	—
473	C₂³×C₁₃₉	—	2	2	no	—
474	C₂³×C₁₃₉	—	2	2	no	—
475	C₂³×C₁₃₉	—	2	2	no	—
476	C₂³×C₁₃₉	—	2	1	no	—
477	C₂³×C₁₃₉	—	2	1	no	—
478	C₂³×C₁₃₉	—	2	2	no	—
479	C₂³×C₁₃₉	—	2	2	no	—
480	C₂³×C₁₃₉	—	2	2	no	—
481	C₂³×C₁₃₉	—	2	2	no	—
482	C₂³×C₁₃₉	—	2	1	no	—
483	C₂³×C₁₃₉	—	2	1	no	—
484	C₂³×C₁₃₉	—	2	1	no	—
485	C₂³×C₁₃₉	—	2	1	no	—
486	C₂³×C₁₃₉	—	2	2	no	—
487	C₂³×C₁₃₉	—	2	2	no	—
488	C₂³×C₁₃₉	—	2	1	no	—
489	C₂³×C₁₃₉	—	2	1	no	—
490	C₂³×C₁₃₉	—	2	2	no	—
491	C₂³×C₁₃₉	—	2	2	no	—
492	C₂³×C₁₃₉	—	4	4	no	—
493	C₂³×C₁₃₉	—	4	8	no	—
494	C₂³×C₁₃₉	—	4	8	no	—
495	C₂³×C₁₃₉	—	4	8	no	—
496	C₂³×C₁₃₉	—	4	8	no	—
497	C₂³×C₁₃₉	—	4	4	no	—
498	C₂³×C₁₃₉	—	4	8	no	—
499	C₂³×C₁₃₉	—	4	4	no	—
500	C₂³×C₁₃₉	—	4	4	no	—
501	C₂³×C₁₃₉	—	4	4	no	—
502	C₂³×C₁₃₉	—	8	2	no	—
503	C₂³×C₁₃₉	—	8	4	no	—
504	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
505	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
506	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
507	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
508	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
509	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
510	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
511	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
512	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
513	Q₈×C₁₃₉	—	4	4	no	—
514	D₄×C₁₃₉	—	2	16	no	—
515	D₄×C₁₃₉	—	2	16	no	—
516	D₄×C₁₃₉	—	2	8	no	—
517	D₄×C₁₃₉	—	4	8	no	—
518	D₄×C₁₃₉	—	4	4	no	—
519	D₄×C₁₃₉	—	4	4	no	—
520	D₄×C₁₃₉	—	4	8	no	—
521	D₄×C₁₃₉	—	4	4	no	—
522	D₄×C₁₃₉	—	4	4	no	—
523	D₄×C₁₃₉	—	4	4	no	—
524	D₄×C₁₃₉	—	4	4	no	—
525	D₄×C₁₃₉	—	8	2	no	—
526	D₄×C₁₃₉	—	8	2	no	—
527	D₄×C₁₃₉	—	8	4	no	—
528	C₂×C₄×C₁₃₉	—	2	8	no	—
529	C₂×C₄×C₁₃₉	—	2	8	no	—
530	C₂×C₄×C₁₃₉	—	2	8	no	—
531	C₂×C₄×C₁₃₉	—	2	2	no	—
532	C₂×C₄×C₁₃₉	—	2	2	no	—
533	C₂×C₄×C₁₃₉	—	2	1	no	—
534	C₂×C₄×C₁₃₉	—	2	1	no	—
535	C₂×C₄×C₁₃₉	—	2	1	no	—
536	C₂×C₄×C₁₃₉	—	2	2	no	—
537	C₂×C₄×C₁₃₉	—	2	2	no	—
538	C₂×C₄×C₁₃₉	—	2	2	no	—
539	C₂×C₄×C₁₃₉	—	2	1	no	—
540	C₂×C₄×C₁₃₉	—	2	1	no	—
541	C₂×C₄×C₁₃₉	—	2	1	no	—
542	C₂×C₄×C₁₃₉	—	2	2	no	—
543	C₂×C₄×C₁₃₉	—	2	2	no	—
544	C₂×C₄×C₁₃₉	—	2	2	no	—
545	C₂×C₄×C₁₃₉	—	2	1	no	—
546	C₂×C₄×C₁₃₉	—	2	2	no	—
547	C₂×C₄×C₁₃₉	—	2	2	no	—
548	C₂×C₄×C₁₃₉	—	2	1	no	—
549	C₂×C₄×C₁₃₉	—	2	1	no	—
550	C₂×C₄×C₁₃₉	—	2	2	no	—
551	C₂×C₄×C₁₃₉	—	2	2	no	—
552	C₂×C₄×C₁₃₉	—	2	1	no	—
553	C₂×C₄×C₁₃₉	—	2	1	no	—
554	C₂×C₄×C₁₃₉	—	2	1	no	—
555	C₂×C₄×C₁₃₉	—	2	2	no	—
556	C₂×C₄×C₁₃₉	—	2	2	no	—
557	C₂×C₄×C₁₃₉	—	2	2	no	—
558	C₂×C₄×C₁₃₉	—	2	2	no	—
559	C₂×C₄×C₁₃₉	—	2	2	no	—
560	C₂×C₄×C₁₃₉	—	2	1	no	—
561	C₂×C₄×C₁₃₉	—	2	2	no	—
562	C₂×C₄×C₁₃₉	—	2	1	no	—
563	C₂×C₄×C₁₃₉	—	2	2	no	—
564	C₂×C₄×C₁₃₉	—	2	2	no	—
565	C₂×C₄×C₁₃₉	—	2	2	no	—
566	C₂×C₄×C₁₃₉	—	2	2	no	—
567	C₂×C₄×C₁₃₉	—	4	4	no	—
568	C₂×C₄×C₁₃₉	—	4	8	no	—
569	C₂×C₄×C₁₃₉	—	4	8	no	—
570	C₂×C₄×C₁₃₉	—	4	4	no	—
571	C₂×C₄×C₁₃₉	—	4	8	no	—
572	C₂×C₄×C₁₃₉	—	4	8	no	—
573	C₂×C₄×C₁₃₉	—	4	8	no	—
574	C₂×C₄×C₁₃₉	—	4	4	no	—
575	C₂×C₄×C₁₃₉	—	4	4	no	—
576	C₂×C₄×C₁₃₉	—	4	4	no	—
577	C₂×C₄×C₁₃₉	—	8	2	no	—
578	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
579	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
580	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
581	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
582	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
583	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
584	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
585	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
586	C₂²×C₁₃₉	—	2	2	no	—
587	C₂²×C₁₃₉	—	2	2	no	—
588	C₂²×C₁₃₉	—	2	4	no	—
589	C₂²×C₁₃₉	—	2	4	no	—
590	C₂²×C₁₃₉	—	2	2	no	—
591	C₂²×C₁₃₉	—	2	2	no	—
592	C₂²×C₁₃₉	—	2	4	no	—
593	C₂²×C₁₃₉	—	2	4	no	—
594	C₂²×C₁₃₉	—	2	2	no	—
595	C₂²×C₁₃₉	—	2	4	no	—
596	C₂²×C₁₃₉	—	2	2	no	—
597	C₂²×C₁₃₉	—	2	2	no	—
598	C₂²×C₁₃₉	—	2	4	no	—
599	C₂²×C₁₃₉	—	2	4	no	—
600	C₂²×C₁₃₉	—	2	2	no	—
601	C₂²×C₁₃₉	—	2	4	no	—
602	C₂²×C₁₃₉	—	4	16	no	—
603	C₂²×C₁₃₉	—	4	16	no	—
604	C₂²×C₁₃₉	—	4	1	no	—
605	C₂²×C₁₃₉	—	4	2	no	—
606	C₂²×C₁₃₉	—	4	2	no	—
607	C₂²×C₁₃₉	—	4	2	no	—
608	C₂²×C₁₃₉	—	4	1	no	—
609	C₂²×C₁₃₉	—	4	2	no	—
610	C₂²×C₁₃₉	—	4	2	no	—
611	C₂²×C₁₃₉	—	4	2	no	—
612	C₂²×C₁₃₉	—	4	2	no	—
613	C₂²×C₁₃₉	—	4	1	no	—
614	C₂²×C₁₃₉	—	4	1	no	—
615	C₂²×C₁₃₉	—	4	1	no	—
616	C₂²×C₁₃₉	—	4	1	no	—
617	C₂²×C₁₃₉	—	4	2	no	—
618	C₂²×C₁₃₉	—	4	2	no	—
619	C₂²×C₁₃₉	—	4	1	no	—
620	C₂²×C₁₃₉	—	4	1	no	—
621	C₂²×C₁₃₉	—	4	2	no	—
622	C₂²×C₁₃₉	—	4	2	no	—
623	C₂²×C₁₃₉	—	8	8	no	—
624	C₂²×C₁₃₉	#525	1	4	yes	complemented
625	C₂²×C₁₃₉	D₄²	1	4	yes	—
626	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
627	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
628	C₂²×C₁₃₉	C₂²×#41	1	2	yes	—
629	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
630	C₂²×C₁₃₉	#585	1	2	yes	—
631	C₄×C₁₃₉	—	2	4	no	—
632	C₄×C₁₃₉	—	2	4	no	—
633	C₄×C₁₃₉	—	2	2	no	—
634	C₄×C₁₃₉	—	2	2	no	—
635	C₄×C₁₃₉	—	2	2	no	—
636	C₄×C₁₃₉	—	2	4	no	—
637	C₄×C₁₃₉	—	2	2	no	—
638	C₄×C₁₃₉	—	2	2	no	—
639	C₄×C₁₃₉	—	4	1	no	—
640	C₄×C₁₃₉	—	4	2	no	—
641	C₄×C₁₃₉	—	4	1	no	—
642	C₄×C₁₃₉	—	4	1	no	—
643	C₄×C₁₃₉	—	4	2	no	—
644	C₄×C₁₃₉	—	4	2	no	—
645	C₄×C₁₃₉	—	4	1	no	—
646	C₄×C₁₃₉	—	4	2	no	—
647	C₂×C₁₃₉	—	2	4	no	—
648	C₂×C₁₃₉	—	2	4	no	—
649	C₂×C₁₃₉	—	4	2	no	—
650	C₂×C₁₃₉	—	4	4	no	—
651	C₂×C₁₃₉	—	4	2	no	—
652	C₂×C₁₃₉	—	8	1	no	—
653	C₂×C₁₃₉	—	8	1	no	—
654	C₂×C₁₃₉	C₂×#525	1	1	yes	characteristic
655	C₂×C₁₃₉	C₂×D₄²	1	1	yes	characteristic
656	C₂×C₁₃₉	D₄×#41	1	2	yes	—
657	C₂×C₁₃₉	#3485	1	1	yes	characteristic
658	C₂×C₁₃₉	#3513	1	2	yes	—
659	#36099	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
660	C₁₃₉	#36099	1	1	yes	characteristic, direct product factor, Sylow
661	C₂×#546	C₂×C₁₃₉	1	1	yes	characteristic, complemented
662	C₂×#525	C₂×C₁₃₉	1	1	yes	characteristic, complemented
663	C₂²×#123	C₂×C₁₃₉	1	1	yes	characteristic, complemented
664	C₂²×C₄×D₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
665	#2854	C₂×C₁₃₉	1	1	yes	characteristic, complemented
666	#2849	C₂×C₁₃₉	1	1	yes	characteristic, complemented
667	#2849	C₂×C₁₃₉	1	1	yes	characteristic, complemented
668	#2539	C₂×C₁₃₉	1	1	yes	characteristic, complemented
669	#2534	C₂×C₁₃₉	1	1	yes	characteristic, complemented
670	#2464	C₂×C₁₃₉	1	2	yes	complemented
671	#2461	C₂×C₁₃₉	1	2	yes	complemented
672	#2456	C₂×C₁₃₉	1	2	yes	complemented
673	#2455	C₂×C₁₃₉	1	2	yes	complemented
674	#2449	C₂×C₁₃₉	1	2	yes	complemented
675	#2424	C₂×C₁₃₉	1	2	yes	complemented
676	#2413	C₂×C₁₃₉	1	1	yes	characteristic, complemented
677	#2410	C₂×C₁₃₉	1	1	yes	characteristic, complemented
678	#2406	C₂×C₁₃₉	1	1	yes	characteristic, complemented
679	#2403	C₂×C₁₃₉	1	1	yes	characteristic, complemented
680	#2361	C₂×C₁₃₉	1	2	yes	complemented
681	#2358	C₂×C₁₃₉	1	2	yes	complemented
682	#2342	C₂×C₁₃₉	1	1	yes	characteristic, complemented
683	C₄×#123	C₂×C₁₃₉	1	1	yes	characteristic, complemented
684	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic
685	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
686	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
687	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
688	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
689	#546	—	2	8	no	—
690	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
691	#525	—	2	8	no	—
692	C₂×#123	—	2	8	no	—
693	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
694	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
695	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
696	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
697	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
698	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
699	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
700	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
701	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
702	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
703	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	complemented
704	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
705	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
706	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
707	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
708	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
709	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
710	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
711	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
712	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
713	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
714	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
715	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
716	C₂×C₄×D₄	—	2	8	no	—
717	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
718	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
719	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
720	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
721	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
722	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
723	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
724	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
725	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
726	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
727	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
728	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
729	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
730	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
731	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
732	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
733	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
734	#399	C₂²×C₁₃₉	1	2	yes	complemented
735	#398	C₂²×C₁₃₉	1	2	yes	complemented
736	#396	C₂²×C₁₃₉	1	2	yes	complemented
737	#396	C₂²×C₁₃₉	1	2	yes	complemented
738	#395	C₂²×C₁₃₉	1	2	yes	complemented
739	#394	C₂²×C₁₃₉	1	2	yes	complemented
740	#394	C₂²×C₁₃₉	1	2	yes	complemented
741	#394	C₂²×C₁₃₉	1	2	yes	complemented
742	#392	C₂²×C₁₃₉	1	2	yes	—
743	#392	C₂²×C₁₃₉	1	2	yes	—
744	#392	C₂²×C₁₃₉	1	2	yes	complemented
745	#392	C₂²×C₁₃₉	1	2	yes	complemented
746	#390	C₂²×C₁₃₉	1	2	yes	complemented
747	#390	C₂²×C₁₃₉	1	2	yes	complemented
748	#390	C₂²×C₁₃₉	1	2	yes	complemented
749	#389	C₂²×C₁₃₉	1	2	yes	complemented
750	#389	C₂²×C₁₃₉	1	2	yes	complemented
751	#388	C₂²×C₁₃₉	1	2	yes	complemented
752	#388	C₂²×C₁₃₉	1	2	yes	complemented
753	#388	C₂²×C₁₃₉	1	2	yes	complemented
754	#388	C₂²×C₁₃₉	1	2	yes	complemented
755	#388	C₂²×C₁₃₉	1	2	yes	complemented
756	#388	C₂²×C₁₃₉	1	2	yes	complemented
757	#388	C₂²×C₁₃₉	1	2	yes	complemented
758	#387	C₂²×C₁₃₉	1	2	yes	complemented
759	#386	C₂²×C₁₃₉	1	1	yes	characteristic
760	#386	C₂²×C₁₃₉	1	2	yes	—
761	#386	C₂²×C₁₃₉	1	2	yes	—
762	#386	C₂²×C₁₃₉	1	1	yes	characteristic
763	#386	C₂²×C₁₃₉	1	2	yes	complemented
764	#386	C₂²×C₁₃₉	1	2	yes	complemented
765	#386	C₂²×C₁₃₉	1	2	yes	complemented
766	#386	C₂²×C₁₃₉	1	2	yes	complemented
767	#386	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
768	#386	C₂²×C₁₃₉	1	2	yes	complemented
769	#385	C₂²×C₁₃₉	1	2	yes	complemented
770	#385	C₂²×C₁₃₉	1	2	yes	complemented
771	#385	C₂²×C₁₃₉	1	2	yes	complemented
772	#385	C₂²×C₁₃₉	1	2	yes	complemented
773	#385	C₂²×C₁₃₉	1	2	yes	complemented
774	#385	C₂²×C₁₃₉	1	2	yes	complemented
775	#385	C₂²×C₁₃₉	1	2	yes	complemented
776	#385	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
777	#381	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
778	#381	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
779	#381	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
780	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
781	#379	C₂²×C₁₃₉	1	1	yes	characteristic
782	#379	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
783	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
784	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
785	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
786	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
787	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
788	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
789	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
790	C₂×#41	—	2	4	no	—
791	C₂×#41	—	2	4	no	—
792	C₂×#41	—	4	2	no	—
793	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
794	C₂²×D₄	—	2	4	no	—
795	C₂²×D₄	—	2	8	no	—
796	C₂²×D₄	—	2	4	no	—
797	C₂²×D₄	—	2	4	no	—
798	C₂²×D₄	—	4	2	no	—
799	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
800	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
801	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
802	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
803	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
804	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
805	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
806	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
807	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
808	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
809	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
810	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
811	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
812	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
813	C₂³×C₄	—	2	4	no	—
814	C₂³×C₄	—	2	4	no	—
815	C₂³×C₄	—	2	4	no	—
816	C₂³×C₄	—	2	4	no	—
817	C₂³×C₄	—	4	2	no	—
818	C₂³×C₄	—	4	2	no	—
819	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
820	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
821	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
822	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
823	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
824	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
825	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
826	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
827	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
828	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
829	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
830	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
831	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
832	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
833	#124	—	2	4	no	—
834	#123	—	2	4	no	—
835	#123	—	2	4	no	—
836	#123	—	2	4	no	—
837	#123	—	2	4	no	—
838	#123	—	2	8	no	—
839	#123	—	2	4	no	—
840	#123	—	2	4	no	—
841	#123	—	2	8	no	—
842	#123	—	4	2	no	—
843	#123	D₄×C₁₃₉	1	8	yes	complemented
844	C₂²⋊Q₈	—	2	8	no	—
845	C₂²⋊Q₈	—	2	4	no	—
846	#121	—	2	8	no	—
847	#121	—	2	4	no	—
848	#121	—	2	4	no	—
849	#121	—	2	4	no	—
850	#121	—	2	8	no	—
851	#120	—	2	4	no	—
852	#120	—	2	4	no	—
853	#120	—	2	8	no	—
854	#120	—	2	4	no	—
855	#120	—	2	4	no	—
856	#120	—	4	2	no	—
857	C₄×D₄	—	2	4	no	—
858	C₄×D₄	—	2	8	no	—
859	C₄×D₄	—	2	8	no	—
860	C₄×D₄	—	2	8	no	—
861	C₄×D₄	—	2	8	no	—
862	C₄×D₄	—	2	8	no	—
863	C₄×D₄	—	2	4	no	—
864	C₄×D₄	—	2	8	no	—
865	#117	—	2	4	no	—
866	C₂×C₄⋊C₄	—	2	4	no	—
867	C₂×C₄⋊C₄	—	2	8	no	—
868	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
869	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
870	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
871	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
872	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
873	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
874	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
875	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
876	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
878	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
879	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
880	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
881	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
882	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
883	C₂×C₂²⋊C₄	—	2	4	no	—
884	C₂×C₂²⋊C₄	—	2	4	no	—
885	C₂×C₂²⋊C₄	—	2	4	no	—
886	C₂×C₂²⋊C₄	—	2	8	no	—
887	C₂×C₂²⋊C₄	D₄×C₁₃₉	1	8	yes	complemented
888	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
889	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
890	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
891	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
892	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
893	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
894	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
895	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
896	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
897	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
898	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
899	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
900	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
901	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
902	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
903	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
904	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
905	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
906	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
907	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
908	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
909	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
910	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
911	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
912	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
913	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
914	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
915	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
916	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
917	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
918	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
919	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
920	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
921	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
922	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
923	C₂×C₄²	—	2	4	no	—
924	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
925	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
926	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
927	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
928	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
929	#95	C₂³×C₁₃₉	1	2	yes	—
930	#95	C₂³×C₁₃₉	1	2	yes	—
931	#95	C₂³×C₁₃₉	1	2	yes	—
932	#95	C₂³×C₁₃₉	1	2	yes	—
933	#95	C₂³×C₁₃₉	1	2	yes	—
934	#95	C₂³×C₁₃₉	1	2	yes	—
935	#95	C₂³×C₁₃₉	1	2	yes	—
936	#95	C₂³×C₁₃₉	1	2	yes	—
937	#95	C₂³×C₁₃₉	1	2	yes	—
938	#95	C₂³×C₁₃₉	1	2	yes	—
939	#95	C₂³×C₁₃₉	1	2	yes	—
940	#95	C₂³×C₁₃₉	1	2	yes	—
941	C₂⁴	—	2	2	no	—
942	C₂⁴	—	2	2	no	—
943	C₂⁴	—	2	4	no	—
944	C₂⁴	—	2	4	no	—
945	C₂⁴	—	2	2	no	—
946	C₂⁴	—	2	2	no	—
947	C₂⁴	—	2	2	no	—
948	C₂⁴	—	2	2	no	—
949	C₂⁴	—	2	2	no	—
950	C₂⁴	—	2	4	no	—
951	C₂⁴	—	4	2	no	—
952	C₂⁴	—	4	2	no	—
953	C₂⁴	—	4	1	no	—
954	C₂⁴	—	4	2	no	—
955	C₂⁴	C₂×D₄×C₁₃₉	1	4	yes	—
956	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
957	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
958	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
959	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
960	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
961	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
962	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
963	#41	—	4	16	no	—
964	C₂×Q₈	—	2	2	no	—
965	C₂×Q₈	—	2	2	no	—
966	C₂×Q₈	—	4	1	no	—
967	C₂×D₄	—	2	32	no	—
968	C₂×D₄	—	2	4	no	—
969	C₂×D₄	—	2	4	no	—
970	C₂×D₄	—	2	2	no	—
971	C₂×D₄	—	2	4	no	—
972	C₂×D₄	—	2	4	no	—
973	C₂×D₄	—	2	2	no	—
974	C₂×D₄	—	2	2	no	—
975	C₂×D₄	—	2	4	no	—
976	C₂×D₄	—	2	2	no	—
977	C₂×D₄	—	2	2	no	—
978	C₂×D₄	—	2	2	no	—
979	C₂×D₄	—	2	2	no	—
980	C₂×D₄	—	2	2	no	—
981	C₂×D₄	—	2	2	no	—
982	C₂×D₄	—	2	2	no	—
983	C₂×D₄	—	2	2	no	—
984	C₂×D₄	—	2	4	no	—
985	C₂×D₄	—	2	4	no	—
986	C₂×D₄	—	2	4	no	—
987	C₂×D₄	—	2	2	no	—
988	C₂×D₄	—	2	2	no	—
989	C₂×D₄	—	2	2	no	—
990	C₂×D₄	—	2	4	no	—
991	C₂×D₄	—	2	4	no	—
992	C₂×D₄	—	2	2	no	—
993	C₂×D₄	—	2	2	no	—
994	C₂×D₄	—	2	2	no	—
995	C₂×D₄	—	2	4	no	—
996	C₂×D₄	—	4	1	no	—
997	C₂×D₄	—	4	1	no	—
998	C₂×D₄	—	4	2	no	—
999	C₂×D₄	—	4	2	no	—
1000	C₂×D₄	—	4	1	no	—
1001	C₂×D₄	—	4	2	no	—
1002	C₂×D₄	—	4	2	no	—
1003	C₂×D₄	—	4	2	no	—
1004	C₂×D₄	—	4	2	no	—
1005	C₂×D₄	—	4	16	no	—
1006	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
1007	C₂×D₄	#41×C₁₃₉	1	8	yes	complemented
1008	C₂²×C₄	—	2	2	no	—
1009	C₂²×C₄	—	2	2	no	—
1010	C₂²×C₄	—	2	2	no	—
1011	C₂²×C₄	—	2	2	no	—
1012	C₂²×C₄	—	2	2	no	—
1013	C₂²×C₄	—	2	4	no	—
1014	C₂²×C₄	—	2	2	no	—
1015	C₂²×C₄	—	2	4	no	—
1016	C₂²×C₄	—	2	4	no	—
1017	C₂²×C₄	—	2	2	no	—
1018	C₂²×C₄	—	2	2	no	—
1019	C₂²×C₄	—	2	2	no	—
1020	C₂²×C₄	—	2	4	no	—
1021	C₂²×C₄	—	2	2	no	—
1022	C₂²×C₄	—	2	4	no	—
1023	C₂²×C₄	—	2	4	no	—
1024	C₂²×C₄	—	2	2	no	—
1025	C₂²×C₄	—	2	2	no	—
1026	C₂²×C₄	—	2	4	no	—
1027	C₂²×C₄	—	2	4	no	—
1028	C₂²×C₄	—	2	4	no	—
1029	C₂²×C₄	—	2	2	no	—
1030	C₂²×C₄	—	2	2	no	—
1031	C₂²×C₄	—	2	4	no	—
1032	C₂²×C₄	—	2	4	no	—
1033	C₂²×C₄	—	2	2	no	—
1034	C₂²×C₄	—	4	2	no	—
1035	C₂²×C₄	—	4	2	no	—
1036	C₂²×C₄	—	4	2	no	—
1037	C₂²×C₄	—	4	2	no	—
1038	C₂²×C₄	—	4	2	no	—
1039	C₂²×C₄	—	4	2	no	—
1040	C₂²×C₄	—	4	1	no	—
1041	C₂²×C₄	—	4	1	no	—
1042	C₂²×C₄	—	4	1	no	—
1043	C₂²×C₄	—	4	16	no	—
1044	C₂²×C₄	—	4	2	no	—
1045	C₂²×C₄	—	4	16	no	—
1046	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1047	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1048	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1049	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1050	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1051	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1052	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1053	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1054	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1055	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1056	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1057	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1058	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1059	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1060	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1061	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1062	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1063	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1064	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1065	C₄⋊C₄	—	2	4	no	—
1066	C₄⋊C₄	—	2	4	no	—
1067	C₄⋊C₄	—	2	4	no	—
1068	C₄⋊C₄	—	2	4	no	—
1069	C₄⋊C₄	—	2	4	no	—
1070	C₄⋊C₄	—	2	4	no	—
1071	C₄⋊C₄	—	2	2	no	—
1072	C₄⋊C₄	—	2	4	no	—
1073	C₄⋊C₄	—	2	2	no	—
1074	C₄⋊C₄	—	2	2	no	—
1075	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	2	4	no	—
1077	C₄⋊C₄	—	4	2	no	—
1078	C₄⋊C₄	—	4	2	no	—
1079	C₄⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	complemented
1080	C₂²⋊C₄	—	2	2	no	—
1081	C₂²⋊C₄	—	2	2	no	—
1082	C₂²⋊C₄	—	2	4	no	—
1083	C₂²⋊C₄	—	2	2	no	—
1084	C₂²⋊C₄	—	2	2	no	—
1085	C₂²⋊C₄	—	2	2	no	—
1086	C₂²⋊C₄	—	2	4	no	—
1087	C₂²⋊C₄	—	2	4	no	—
1088	C₂²⋊C₄	—	2	2	no	—
1089	C₂²⋊C₄	—	2	4	no	—
1090	C₂²⋊C₄	—	2	4	no	—
1091	C₂²⋊C₄	—	2	2	no	—
1092	C₂²⋊C₄	—	2	2	no	—
1093	C₂²⋊C₄	—	2	4	no	—
1094	C₂²⋊C₄	—	2	4	no	—
1095	C₂²⋊C₄	—	2	4	no	—
1096	C₂²⋊C₄	—	2	4	no	—
1097	C₂²⋊C₄	—	2	4	no	—
1098	C₂²⋊C₄	—	2	2	no	—
1099	C₂²⋊C₄	—	2	2	no	—
1100	C₂²⋊C₄	—	2	4	no	—
1101	C₂²⋊C₄	—	2	2	no	—
1102	C₂²⋊C₄	—	2	4	no	—
1103	C₂²⋊C₄	—	2	4	no	—
1104	C₂²⋊C₄	—	2	4	no	—
1105	C₂²⋊C₄	—	4	2	no	—
1106	C₂²⋊C₄	—	4	2	no	—
1107	C₂²⋊C₄	—	4	2	no	—
1108	C₂²⋊C₄	—	4	2	no	—
1109	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1110	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1111	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1112	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1113	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1114	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	complemented
1115	C₄²	—	2	4	no	—
1116	C₄²	—	2	4	no	—
1117	C₄²	—	2	4	no	—
1118	C₄²	—	2	2	no	—
1119	C₄²	—	4	2	no	—
1120	C₂³	—	2	1	no	—
1121	C₂³	—	2	2	no	—
1122	C₂³	—	2	1	no	—
1123	C₂³	—	2	2	no	—
1124	C₂³	—	2	2	no	—
1125	C₂³	—	2	8	no	—
1126	C₂³	—	2	8	no	—
1127	C₂³	—	2	8	no	—
1128	C₂³	—	2	2	no	—
1129	C₂³	—	2	1	no	—
1130	C₂³	—	2	2	no	—
1131	C₂³	—	2	1	no	—
1132	C₂³	—	2	2	no	—
1133	C₂³	—	2	2	no	—
1134	C₂³	—	2	2	no	—
1135	C₂³	—	2	2	no	—
1136	C₂³	—	2	1	no	—
1137	C₂³	—	2	1	no	—
1138	C₂³	—	2	2	no	—
1139	C₂³	—	2	2	no	—
1140	C₂³	—	2	2	no	—
1141	C₂³	—	2	2	no	—
1142	C₂³	—	2	1	no	—
1143	C₂³	—	2	1	no	—
1144	C₂³	—	2	1	no	—
1145	C₂³	—	2	1	no	—
1146	C₂³	—	2	2	no	—
1147	C₂³	—	2	2	no	—
1148	C₂³	—	2	1	no	—
1149	C₂³	—	2	1	no	—
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	2	no	—
1152	C₂³	—	4	4	no	—
1153	C₂³	—	4	8	no	—
1154	C₂³	—	4	8	no	—
1155	C₂³	—	4	8	no	—
1156	C₂³	—	4	8	no	—
1157	C₂³	—	4	4	no	—
1158	C₂³	—	4	8	no	—
1159	C₂³	—	4	4	no	—
1160	C₂³	—	4	4	no	—
1161	C₂³	—	4	4	no	—
1162	C₂³	—	8	2	no	—
1163	C₂³	—	8	4	no	—
1164	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1165	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1166	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1167	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1168	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1169	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
1170	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
1171	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1172	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1173	Q₈	—	4	4	no	—
1174	D₄	—	2	16	no	—
1175	D₄	—	2	16	no	—
1176	D₄	—	2	8	no	—
1177	D₄	—	4	4	no	—
1178	D₄	—	4	4	no	—
1179	D₄	—	4	8	no	—
1180	D₄	—	4	4	no	—
1181	D₄	—	4	8	no	—
1182	D₄	—	4	4	no	—
1183	D₄	—	4	4	no	—
1184	D₄	—	4	4	no	—
1185	D₄	—	8	2	no	—
1186	D₄	—	8	2	no	—
1187	D₄	—	8	4	no	—
1188	C₂×C₄	—	2	8	no	—
1189	C₂×C₄	—	2	8	no	—
1190	C₂×C₄	—	2	8	no	—
1191	C₂×C₄	—	2	2	no	—
1192	C₂×C₄	—	2	2	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	2	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	2	no	—
1203	C₂×C₄	—	2	2	no	—
1204	C₂×C₄	—	2	2	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	2	no	—
1207	C₂×C₄	—	2	2	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	2	no	—
1211	C₂×C₄	—	2	2	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	2	no	—
1216	C₂×C₄	—	2	2	no	—
1217	C₂×C₄	—	2	2	no	—
1218	C₂×C₄	—	2	2	no	—
1219	C₂×C₄	—	2	2	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	2	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	2	no	—
1224	C₂×C₄	—	2	2	no	—
1225	C₂×C₄	—	2	2	no	—
1226	C₂×C₄	—	2	2	no	—
1227	C₂×C₄	—	4	4	no	—
1228	C₂×C₄	—	4	8	no	—
1229	C₂×C₄	—	4	8	no	—
1230	C₂×C₄	—	4	4	no	—
1231	C₂×C₄	—	4	8	no	—
1232	C₂×C₄	—	4	8	no	—
1233	C₂×C₄	—	4	4	no	—
1234	C₂×C₄	—	4	4	no	—
1235	C₂×C₄	—	4	8	no	—
1236	C₂×C₄	—	4	4	no	—
1237	C₂×C₄	—	8	2	no	—
1238	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1239	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1240	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
1241	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
1242	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1243	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1244	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1245	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
1246	C₂²	—	2	2	no	—
1247	C₂²	—	2	2	no	—
1248	C₂²	—	2	4	no	—
1249	C₂²	—	2	4	no	—
1250	C₂²	—	2	2	no	—
1251	C₂²	—	2	2	no	—
1252	C₂²	—	2	4	no	—
1253	C₂²	—	2	4	no	—
1254	C₂²	—	2	2	no	—
1255	C₂²	—	2	4	no	—
1256	C₂²	—	2	2	no	—
1257	C₂²	—	2	2	no	—
1258	C₂²	—	2	4	no	—
1259	C₂²	—	2	4	no	—
1260	C₂²	—	2	2	no	—
1261	C₂²	—	2	4	no	—
1262	C₂²	—	4	16	no	—
1263	C₂²	—	4	16	no	—
1264	C₂²	—	4	1	no	—
1265	C₂²	—	4	2	no	—
1266	C₂²	—	4	2	no	—
1267	C₂²	—	4	2	no	—
1268	C₂²	—	4	1	no	—
1269	C₂²	—	4	2	no	—
1270	C₂²	—	4	2	no	—
1271	C₂²	—	4	2	no	—
1272	C₂²	—	4	2	no	—
1273	C₂²	—	4	1	no	—
1274	C₂²	—	4	1	no	—
1275	C₂²	—	4	1	no	—
1276	C₂²	—	4	1	no	—
1277	C₂²	—	4	2	no	—
1278	C₂²	—	4	2	no	—
1279	C₂²	—	4	1	no	—
1280	C₂²	—	4	1	no	—
1281	C₂²	—	4	2	no	—
1282	C₂²	—	4	2	no	—
1283	C₂²	—	8	8	no	—
1284	C₂²	#525×C₁₃₉	1	4	yes	complemented
1285	C₂²	D₄²×C₁₃₉	1	4	yes	—
1286	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1287	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1288	C₂²	C₂²×#41×C₁₃₉	1	2	yes	—
1289	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1290	C₂²	#585×C₁₃₉	1	2	yes	—
1291	C₄	—	2	4	no	—
1292	C₄	—	2	4	no	—
1293	C₄	—	2	2	no	—
1294	C₄	—	2	2	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	4	no	—
1297	C₄	—	2	2	no	—
1298	C₄	—	2	2	no	—
1299	C₄	—	4	1	no	—
1300	C₄	—	4	2	no	—
1301	C₄	—	4	1	no	—
1302	C₄	—	4	1	no	—
1303	C₄	—	4	2	no	—
1304	C₄	—	4	2	no	—
1305	C₄	—	4	1	no	—
1306	C₄	—	4	2	no	—
1307	C₂	—	2	4	no	—
1308	C₂	—	2	4	no	—
1309	C₂	—	4	2	no	—
1310	C₂	—	4	4	no	—
1311	C₂	—	4	2	no	—
1312	C₂	—	8	1	no	—
1313	C₂	—	8	1	no	—
1314	C₂	C₂×#525×C₁₃₉	1	1	yes	characteristic
1315	C₂	C₂×D₄²×C₁₃₉	1	1	yes	characteristic
1316	C₂	D₄×#41×C₁₃₉	1	2	yes	—
1317	C₂	#3485×C₁₃₉	1	1	yes	characteristic
1318	C₂	#3513×C₁₃₉	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃₉ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂×#546×C₁₃₉	C₂	semidirect
2. C₂×#525×C₁₃₉	C₂	semidirect
3. C₂²×#123×C₁₃₉	C₂	semidirect
4. C₂²×C₄×D₄×C₁₃₉	C₂	semidirect
5. #2854×C₁₃₉	C₂	semidirect
6. #2849×C₁₃₉	C₂	semidirect
7. #2849×C₁₃₉	C₂	semidirect
8. #2539×C₁₃₉	C₂	semidirect
9. #2534×C₁₃₉	C₂	semidirect
10. #2464×C₁₃₉	C₂	semidirect
11. #2461×C₁₃₉	C₂	semidirect
12. #2456×C₁₃₉	C₂	semidirect
13. #2455×C₁₃₉	C₂	semidirect
14. #2449×C₁₃₉	C₂	semidirect
15. #2424×C₁₃₉	C₂	semidirect
16. #2413×C₁₃₉	C₂	semidirect
17. #2410×C₁₃₉	C₂	semidirect
18. #2406×C₁₃₉	C₂	semidirect
19. #2403×C₁₃₉	C₂	semidirect
20. #2361×C₁₃₉	C₂	semidirect
21. #2358×C₁₃₉	C₂	semidirect
22. #2342×C₁₃₉	C₂	semidirect
23. C₄×#123×C₁₃₉	C₂	semidirect
28. C₂⁴×C₄×C₁₃₉	C₂²	semidirect
30. C₂×#124×C₁₃₉	C₂²	semidirect
38. C₂×#123×C₁₃₉	C₂²	semidirect
39. C₂×#123×C₁₃₉	C₂²	semidirect
40. C₂×#123×C₁₃₉	C₂²	semidirect
41. C₂×#123×C₁₃₉	C₂²	semidirect
42. C₂×#123×C₁₃₉	C₂²	semidirect
43. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
44. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
47. C₂×#121×C₁₃₉	C₂²	semidirect
48. C₂×#121×C₁₃₉	C₂²	semidirect
49. C₂×#121×C₁₃₉	C₂²	semidirect
54. C₂×#120×C₁₃₉	C₂²	semidirect
55. C₂×#120×C₁₃₉	C₂²	semidirect
60. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
61. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
62. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
63. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
64. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
65. C₂×#117×C₁₃₉	C₂²	semidirect
66. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
67. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
70. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
71. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
72. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
73. C₂²×C₄²×C₁₃₉	C₂²	semidirect
74. #399×C₁₃₉	C₂²	semidirect
75. #398×C₁₃₉	C₂²	semidirect
76. #396×C₁₃₉	C₂²	semidirect
77. #396×C₁₃₉	C₂²	semidirect
78. #395×C₁₃₉	C₂²	semidirect
79. #394×C₁₃₉	C₂²	semidirect
80. #394×C₁₃₉	C₂²	semidirect
81. #394×C₁₃₉	C₂²	semidirect
84. #392×C₁₃₉	C₂²	semidirect
85. #392×C₁₃₉	C₂²	semidirect
86. #390×C₁₃₉	C₂²	semidirect
87. #390×C₁₃₉	C₂²	semidirect
88. #390×C₁₃₉	C₂²	semidirect
89. #389×C₁₃₉	C₂²	semidirect
90. #389×C₁₃₉	C₂²	semidirect
91. #388×C₁₃₉	C₂²	semidirect
92. #388×C₁₃₉	C₂²	semidirect
93. #388×C₁₃₉	C₂²	semidirect
94. #388×C₁₃₉	C₂²	semidirect
95. #388×C₁₃₉	C₂²	semidirect
96. #388×C₁₃₉	C₂²	semidirect
97. #388×C₁₃₉	C₂²	semidirect
98. #387×C₁₃₉	C₂²	semidirect
103. #386×C₁₃₉	C₂²	semidirect
104. #386×C₁₃₉	C₂²	semidirect
105. #386×C₁₃₉	C₂²	semidirect
106. #386×C₁₃₉	C₂²	semidirect
107. #386×C₁₃₉	C₂²	semidirect
108. #386×C₁₃₉	C₂²	semidirect
109. #385×C₁₃₉	C₂²	semidirect
110. #385×C₁₃₉	C₂²	semidirect
111. #385×C₁₃₉	C₂²	semidirect
112. #385×C₁₃₉	C₂²	semidirect
113. #385×C₁₃₉	C₂²	semidirect
114. #385×C₁₃₉	C₂²	semidirect
115. #385×C₁₃₉	C₂²	semidirect
116. #385×C₁₃₉	C₂²	semidirect
117. #381×C₁₃₉	C₂²	semidirect
118. #381×C₁₃₉	C₂²	semidirect
119. #381×C₁₃₉	C₂²	semidirect
120. #380×C₁₃₉	C₂²	semidirect
122. #379×C₁₃₉	C₂²	semidirect
123. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
124. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
125. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
126. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
183. #123×C₁₃₉	D₄	semidirect
227. C₂×C₂²⋊C₄×C₁₃₉	D₄	semidirect
347. C₂×D₄×C₁₃₉	#41	semidirect
419. C₄⋊C₄×C₁₃₉	C₂×D₄	semidirect
454. C₂²⋊C₄×C₁₃₉	C₂×D₄	semidirect
624. C₂²×C₁₃₉	#525	semidirect
659. #36099	C₁₃₉	direct (N × H)
660. C₁₃₉	#36099	direct (N × H)
661. C₂×#546	C₂×C₁₃₉	semidirect
662. C₂×#525	C₂×C₁₃₉	semidirect
663. C₂²×#123	C₂×C₁₃₉	semidirect
664. C₂²×C₄×D₄	C₂×C₁₃₉	semidirect
665. #2854	C₂×C₁₃₉	semidirect
666. #2849	C₂×C₁₃₉	semidirect
667. #2849	C₂×C₁₃₉	semidirect
668. #2539	C₂×C₁₃₉	semidirect
669. #2534	C₂×C₁₃₉	semidirect
670. #2464	C₂×C₁₃₉	semidirect
671. #2461	C₂×C₁₃₉	semidirect
672. #2456	C₂×C₁₃₉	semidirect
673. #2455	C₂×C₁₃₉	semidirect
674. #2449	C₂×C₁₃₉	semidirect
675. #2424	C₂×C₁₃₉	semidirect
676. #2413	C₂×C₁₃₉	semidirect
677. #2410	C₂×C₁₃₉	semidirect
678. #2406	C₂×C₁₃₉	semidirect
679. #2403	C₂×C₁₃₉	semidirect
680. #2361	C₂×C₁₃₉	semidirect
681. #2358	C₂×C₁₃₉	semidirect
682. #2342	C₂×C₁₃₉	semidirect
683. C₄×#123	C₂×C₁₃₉	semidirect
688. C₂⁴×C₄	C₂²×C₁₃₉	semidirect
690. C₂×#124	C₂²×C₁₃₉	semidirect
698. C₂×#123	C₂²×C₁₃₉	semidirect
699. C₂×#123	C₂²×C₁₃₉	semidirect
700. C₂×#123	C₂²×C₁₃₉	semidirect
701. C₂×#123	C₂²×C₁₃₉	semidirect
702. C₂×#123	C₂²×C₁₃₉	semidirect
703. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
704. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
707. C₂×#121	C₂²×C₁₃₉	semidirect
708. C₂×#121	C₂²×C₁₃₉	semidirect
709. C₂×#121	C₂²×C₁₃₉	semidirect
714. C₂×#120	C₂²×C₁₃₉	semidirect
715. C₂×#120	C₂²×C₁₃₉	semidirect
720. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
721. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
722. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
723. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
724. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
725. C₂×#117	C₂²×C₁₃₉	semidirect
726. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
727. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
730. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
731. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
732. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
733. C₂²×C₄²	C₂²×C₁₃₉	semidirect
734. #399	C₂²×C₁₃₉	semidirect
735. #398	C₂²×C₁₃₉	semidirect
736. #396	C₂²×C₁₃₉	semidirect
737. #396	C₂²×C₁₃₉	semidirect
738. #395	C₂²×C₁₃₉	semidirect
739. #394	C₂²×C₁₃₉	semidirect
740. #394	C₂²×C₁₃₉	semidirect
741. #394	C₂²×C₁₃₉	semidirect
744. #392	C₂²×C₁₃₉	semidirect
745. #392	C₂²×C₁₃₉	semidirect
746. #390	C₂²×C₁₃₉	semidirect
747. #390	C₂²×C₁₃₉	semidirect
748. #390	C₂²×C₁₃₉	semidirect
749. #389	C₂²×C₁₃₉	semidirect
750. #389	C₂²×C₁₃₉	semidirect
751. #388	C₂²×C₁₃₉	semidirect
752. #388	C₂²×C₁₃₉	semidirect
753. #388	C₂²×C₁₃₉	semidirect
754. #388	C₂²×C₁₃₉	semidirect
755. #388	C₂²×C₁₃₉	semidirect
756. #388	C₂²×C₁₃₉	semidirect
757. #388	C₂²×C₁₃₉	semidirect
758. #387	C₂²×C₁₃₉	semidirect
763. #386	C₂²×C₁₃₉	semidirect
764. #386	C₂²×C₁₃₉	semidirect
765. #386	C₂²×C₁₃₉	semidirect
766. #386	C₂²×C₁₃₉	semidirect
767. #386	C₂²×C₁₃₉	semidirect
768. #386	C₂²×C₁₃₉	semidirect
769. #385	C₂²×C₁₃₉	semidirect
770. #385	C₂²×C₁₃₉	semidirect
771. #385	C₂²×C₁₃₉	semidirect
772. #385	C₂²×C₁₃₉	semidirect
773. #385	C₂²×C₁₃₉	semidirect
774. #385	C₂²×C₁₃₉	semidirect
775. #385	C₂²×C₁₃₉	semidirect
776. #385	C₂²×C₁₃₉	semidirect
777. #381	C₂²×C₁₃₉	semidirect
778. #381	C₂²×C₁₃₉	semidirect
779. #381	C₂²×C₁₃₉	semidirect
780. #380	C₂²×C₁₃₉	semidirect
782. #379	C₂²×C₁₃₉	semidirect
783. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
784. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
785. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
786. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
843. #123	D₄×C₁₃₉	semidirect
887. C₂×C₂²⋊C₄	D₄×C₁₃₉	semidirect
1007. C₂×D₄	#41×C₁₃₉	semidirect
1079. C₄⋊C₄	C₂×D₄×C₁₃₉	semidirect
1114. C₂²⋊C₄	C₂×D₄×C₁₃₉	semidirect
1284. C₂²	#525×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#546×C₁₃₉	2
C₂×#525×C₁₃₉	2
C₂²×#123×C₁₃₉	2
C₂²×C₄×D₄×C₁₃₉	2
#2854×C₁₃₉	2
#2849×C₁₃₉	2
#2539×C₁₃₉	2
#2534×C₁₃₉	2
#2464×C₁₃₉	2
#2461×C₁₃₉	2
#2456×C₁₃₉	2
#2455×C₁₃₉	2
#2449×C₁₃₉	2
#2424×C₁₃₉	2
#2413×C₁₃₉	2
#2410×C₁₃₉	2
#2406×C₁₃₉	2
#2403×C₁₃₉	2
#2361×C₁₃₉	2
#2358×C₁₃₉	2
#2342×C₁₃₉	2
C₄×#123×C₁₃₉	2
#36099	139

Subgroups — C139×#36099 #48030695

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36099 #48030695