Subgroups — C₁₃₉×#36123 #48030719

Order 35584.

3732 conjugacy classes of subgroups.

The subgroup lattice has 1356 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	2	yes	maximal, complemented
2	C₂×#532×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×#121×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2856×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2854×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2847×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2555×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2543×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2491×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2472×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2464×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2440×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2433×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2430×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2428×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2428×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2422×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2410×C₁₃₉	C₂	1	2	yes	maximal, complemented
19	#2361×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#2358×C₁₃₉	C₂	1	2	yes	maximal, complemented
21	D₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#121×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₁₃₉	C₂²	1	2	yes	complemented
25	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂³×D₄×C₁₃₉	C₂²	1	2	yes	—
27	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
28	#546×C₁₃₉	—	2	16	no	—
29	#532×C₁₃₉	—	2	8	no	—
30	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
31	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
32	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
33	C₂×#124×C₁₃₉	C₂²	1	2	yes	complemented
34	C₂×#124×C₁₃₉	C₂²	1	2	yes	complemented
35	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
36	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
37	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
38	C₂×#121×C₁₃₉	—	2	8	no	—
39	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
40	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
41	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
42	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
44	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
45	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
46	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
47	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
48	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
49	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
50	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
51	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
52	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
53	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
54	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
55	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
56	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
57	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
58	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
60	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
62	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
63	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
64	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
65	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
66	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
67	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
68	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
69	#398×C₁₃₉	C₂²	1	2	yes	complemented
70	#397×C₁₃₉	C₂²	1	2	yes	complemented
71	#395×C₁₃₉	C₂²	1	2	yes	complemented
72	#394×C₁₃₉	C₂²	1	2	yes	complemented
73	#394×C₁₃₉	C₂²	1	2	yes	complemented
74	#394×C₁₃₉	C₂²	1	2	yes	complemented
75	#394×C₁₃₉	C₂²	1	2	yes	complemented
76	#393×C₁₃₉	C₂²	1	2	yes	complemented
77	#392×C₁₃₉	C₂²	1	2	yes	complemented
78	#392×C₁₃₉	C₂²	1	2	yes	complemented
79	#392×C₁₃₉	C₂²	1	2	yes	complemented
80	#392×C₁₃₉	C₂²	1	2	yes	complemented
81	#390×C₁₃₉	C₂²	1	2	yes	complemented
82	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
83	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
84	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
85	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
86	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
87	#390×C₁₃₉	C₂²	1	2	yes	complemented
88	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
89	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
90	#389×C₁₃₉	C₂²	1	1	yes	characteristic, 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	#386×C₁₃₉	C₂²	1	2	yes	—
97	#386×C₁₃₉	C₂²	1	2	yes	—
98	#386×C₁₃₉	C₂²	1	2	yes	complemented
99	#386×C₁₃₉	C₂²	1	2	yes	complemented
100	#386×C₁₃₉	C₂²	1	2	yes	complemented
101	#386×C₁₃₉	C₂²	1	2	yes	complemented
102	#386×C₁₃₉	C₂²	1	2	yes	complemented
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	#385×C₁₃₉	C₂²	1	2	yes	—
107	#385×C₁₃₉	C₂²	1	2	yes	complemented
108	#385×C₁₃₉	C₂²	1	2	yes	complemented
109	#384×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
110	#380×C₁₃₉	C₂²	1	1	yes	characteristic
111	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
112	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
113	#379×C₁₃₉	C₂²	1	2	yes	—
114	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
115	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
116	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
117	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
118	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
121	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
122	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
123	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
124	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
125	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
126	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
127	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
128	C₂×#41×C₁₃₉	—	2	8	no	—
129	C₂×#41×C₁₃₉	—	2	8	no	—
130	C₂×#41×C₁₃₉	—	4	4	no	—
131	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
132	C₂²×D₄×C₁₃₉	—	2	8	no	—
133	C₂²×D₄×C₁₃₉	—	2	4	no	—
134	C₂²×D₄×C₁₃₉	—	2	8	no	—
135	C₂²×D₄×C₁₃₉	—	2	4	no	—
136	C₂²×D₄×C₁₃₉	—	4	2	no	—
137	C₂²×D₄×C₁₃₉	—	4	4	no	—
138	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
139	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
140	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
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	2	yes	—
146	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
147	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
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	2	yes	—
152	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
153	C₂³×C₄×C₁₃₉	—	2	4	no	—
154	C₂³×C₄×C₁₃₉	—	2	4	no	—
155	C₂³×C₄×C₁₃₉	—	4	2	no	—
156	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
157	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
158	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
159	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
160	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
166	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	C₄⋊Q₈×C₁₃₉	—	2	4	no	—
171	#127×C₁₃₉	—	2	4	no	—
172	#127×C₁₃₉	—	4	2	no	—
173	#124×C₁₃₉	—	2	8	no	—
174	#124×C₁₃₉	—	2	8	no	—
175	#123×C₁₃₉	—	2	8	no	—
176	#123×C₁₃₉	—	2	8	no	—
177	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
178	#121×C₁₃₉	—	2	4	no	—
179	#121×C₁₃₉	—	2	8	no	—
180	#121×C₁₃₉	—	2	8	no	—
181	#121×C₁₃₉	—	2	4	no	—
182	#121×C₁₃₉	—	2	4	no	—
183	#121×C₁₃₉	—	2	8	no	—
184	#121×C₁₃₉	—	2	4	no	—
185	#121×C₁₃₉	—	2	4	no	—
186	#121×C₁₃₉	—	2	8	no	—
187	#121×C₁₃₉	—	2	8	no	—
188	#121×C₁₃₉	—	2	8	no	—
189	#121×C₁₃₉	—	4	2	no	—
190	#121×C₁₃₉	—	4	4	no	—
191	#121×C₁₃₉	D₄	1	8	yes	complemented
192	#120×C₁₃₉	—	2	8	no	—
193	#120×C₁₃₉	—	2	8	no	—
194	#120×C₁₃₉	—	2	8	no	—
195	C₄×D₄×C₁₃₉	—	2	4	no	—
196	C₄×D₄×C₁₃₉	—	2	8	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	—	4	2	no	—
201	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
202	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
203	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
204	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
205	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
206	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
207	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
208	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
209	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
213	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
215	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
216	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
217	C₂×C₂²⋊C₄×C₁₃₉	D₄	1	8	yes	complemented
218	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
219	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
220	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
221	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
222	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
223	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
224	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
225	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
226	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
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	2	yes	—
238	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
239	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	2	yes	—
243	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
245	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
249	C₂×C₄²×C₁₃₉	—	2	4	no	—
250	C₂×C₄²×C₁₃₉	—	4	2	no	—
251	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
252	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
253	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
254	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
255	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
256	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
257	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
258	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
259	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
260	#95×C₁₃₉	C₂³	1	1	yes	characteristic
261	#95×C₁₃₉	C₂³	1	2	yes	—
262	#95×C₁₃₉	C₂³	1	2	yes	—
263	#95×C₁₃₉	C₂³	1	1	yes	characteristic
264	#95×C₁₃₉	C₂³	1	2	yes	—
265	#95×C₁₃₉	C₂³	1	2	yes	—
266	#95×C₁₃₉	C₂³	1	1	yes	characteristic
267	#95×C₁₃₉	C₂³	1	2	yes	—
268	#95×C₁₃₉	C₂³	1	1	yes	characteristic
269	#95×C₁₃₉	C₂³	1	1	yes	characteristic
270	#95×C₁₃₉	C₂³	1	1	yes	characteristic
271	#95×C₁₃₉	C₂³	1	1	yes	characteristic
272	#95×C₁₃₉	C₂³	1	1	yes	characteristic
273	#95×C₁₃₉	C₂³	1	2	yes	—
274	#95×C₁₃₉	C₂³	1	2	yes	—
275	C₂⁴×C₁₃₉	—	2	2	no	—
276	C₂⁴×C₁₃₉	—	2	2	no	—
277	C₂⁴×C₁₃₉	—	2	2	no	—
278	C₂⁴×C₁₃₉	—	2	2	no	—
279	C₂⁴×C₁₃₉	—	2	4	no	—
280	C₂⁴×C₁₃₉	—	2	4	no	—
281	C₂⁴×C₁₃₉	—	2	4	no	—
282	C₂⁴×C₁₃₉	—	2	4	no	—
283	C₂⁴×C₁₃₉	—	4	1	no	—
284	C₂⁴×C₁₃₉	—	4	1	no	—
285	C₂⁴×C₁₃₉	—	4	2	no	—
286	C₂⁴×C₁₃₉	—	4	2	no	—
287	C₂⁴×C₁₃₉	—	4	2	no	—
288	C₂⁴×C₁₃₉	C₂×D₄	1	4	yes	—
289	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
290	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
291	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
292	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
293	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
294	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
295	#41×C₁₃₉	—	4	32	no	—
296	C₂×Q₈×C₁₃₉	—	2	4	no	—
297	C₂×Q₈×C₁₃₉	—	2	4	no	—
298	C₂×Q₈×C₁₃₉	—	4	2	no	—
299	C₂×D₄×C₁₃₉	—	2	4	no	—
300	C₂×D₄×C₁₃₉	—	2	4	no	—
301	C₂×D₄×C₁₃₉	—	2	4	no	—
302	C₂×D₄×C₁₃₉	—	2	4	no	—
303	C₂×D₄×C₁₃₉	—	2	4	no	—
304	C₂×D₄×C₁₃₉	—	2	4	no	—
305	C₂×D₄×C₁₃₉	—	2	4	no	—
306	C₂×D₄×C₁₃₉	—	2	4	no	—
307	C₂×D₄×C₁₃₉	—	2	4	no	—
308	C₂×D₄×C₁₃₉	—	2	4	no	—
309	C₂×D₄×C₁₃₉	—	2	4	no	—
310	C₂×D₄×C₁₃₉	—	2	4	no	—
311	C₂×D₄×C₁₃₉	—	2	4	no	—
312	C₂×D₄×C₁₃₉	—	2	4	no	—
313	C₂×D₄×C₁₃₉	—	2	4	no	—
314	C₂×D₄×C₁₃₉	—	2	4	no	—
315	C₂×D₄×C₁₃₉	—	2	4	no	—
316	C₂×D₄×C₁₃₉	—	2	4	no	—
317	C₂×D₄×C₁₃₉	—	2	2	no	—
318	C₂×D₄×C₁₃₉	—	2	4	no	—
319	C₂×D₄×C₁₃₉	—	2	4	no	—
320	C₂×D₄×C₁₃₉	—	2	2	no	—
321	C₂×D₄×C₁₃₉	—	2	4	no	—
322	C₂×D₄×C₁₃₉	—	2	2	no	—
323	C₂×D₄×C₁₃₉	—	2	4	no	—
324	C₂×D₄×C₁₃₉	—	2	2	no	—
325	C₂×D₄×C₁₃₉	—	2	4	no	—
326	C₂×D₄×C₁₃₉	—	2	2	no	—
327	C₂×D₄×C₁₃₉	—	2	4	no	—
328	C₂×D₄×C₁₃₉	—	2	2	no	—
329	C₂×D₄×C₁₃₉	—	2	2	no	—
330	C₂×D₄×C₁₃₉	—	2	2	no	—
331	C₂×D₄×C₁₃₉	—	4	16	no	—
332	C₂×D₄×C₁₃₉	—	4	2	no	—
333	C₂×D₄×C₁₃₉	—	4	2	no	—
334	C₂×D₄×C₁₃₉	—	4	2	no	—
335	C₂×D₄×C₁₃₉	—	4	2	no	—
336	C₂×D₄×C₁₃₉	—	4	2	no	—
337	C₂×D₄×C₁₃₉	—	4	2	no	—
338	C₂×D₄×C₁₃₉	—	4	2	no	—
339	C₂×D₄×C₁₃₉	—	4	2	no	—
340	C₂×D₄×C₁₃₉	—	4	2	no	—
341	C₂×D₄×C₁₃₉	—	4	2	no	—
342	C₂×D₄×C₁₃₉	—	4	2	no	—
343	C₂×D₄×C₁₃₉	—	4	32	no	—
344	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
345	C₂×D₄×C₁₃₉	C₂×D₄	1	8	yes	—
346	C₂²×C₄×C₁₃₉	—	2	2	no	—
347	C₂²×C₄×C₁₃₉	—	2	2	no	—
348	C₂²×C₄×C₁₃₉	—	2	2	no	—
349	C₂²×C₄×C₁₃₉	—	2	2	no	—
350	C₂²×C₄×C₁₃₉	—	2	2	no	—
351	C₂²×C₄×C₁₃₉	—	2	2	no	—
352	C₂²×C₄×C₁₃₉	—	2	2	no	—
353	C₂²×C₄×C₁₃₉	—	2	4	no	—
354	C₂²×C₄×C₁₃₉	—	2	4	no	—
355	C₂²×C₄×C₁₃₉	—	2	2	no	—
356	C₂²×C₄×C₁₃₉	—	2	2	no	—
357	C₂²×C₄×C₁₃₉	—	2	2	no	—
358	C₂²×C₄×C₁₃₉	—	2	2	no	—
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	2	no	—
364	C₂²×C₄×C₁₃₉	—	2	2	no	—
365	C₂²×C₄×C₁₃₉	—	2	2	no	—
366	C₂²×C₄×C₁₃₉	—	2	2	no	—
367	C₂²×C₄×C₁₃₉	—	2	2	no	—
368	C₂²×C₄×C₁₃₉	—	2	2	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	—	4	1	no	—
373	C₂²×C₄×C₁₃₉	—	4	1	no	—
374	C₂²×C₄×C₁₃₉	—	4	1	no	—
375	C₂²×C₄×C₁₃₉	—	4	1	no	—
376	C₂²×C₄×C₁₃₉	—	4	1	no	—
377	C₂²×C₄×C₁₃₉	—	4	1	no	—
378	C₂²×C₄×C₁₃₉	—	4	1	no	—
379	C₂²×C₄×C₁₃₉	—	4	2	no	—
380	C₂²×C₄×C₁₃₉	—	4	2	no	—
381	C₂²×C₄×C₁₃₉	—	4	2	no	—
382	C₂²×C₄×C₁₃₉	—	4	16	no	—
383	C₂²×C₄×C₁₃₉	—	4	2	no	—
384	C₂²×C₄×C₁₃₉	—	4	2	no	—
385	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
386	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
387	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
388	C₂²×C₄×C₁₃₉	#41	1	4	yes	complemented
389	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
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	2	yes	—
396	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
402	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
406	C₄⋊C₄×C₁₃₉	—	2	4	no	—
407	C₄⋊C₄×C₁₃₉	—	2	2	no	—
408	C₄⋊C₄×C₁₃₉	—	2	4	no	—
409	C₄⋊C₄×C₁₃₉	—	2	4	no	—
410	C₄⋊C₄×C₁₃₉	—	2	2	no	—
411	C₄⋊C₄×C₁₃₉	—	2	4	no	—
412	C₄⋊C₄×C₁₃₉	—	2	4	no	—
413	C₄⋊C₄×C₁₃₉	—	2	4	no	—
414	C₄⋊C₄×C₁₃₉	—	2	2	no	—
415	C₄⋊C₄×C₁₃₉	—	2	2	no	—
416	C₄⋊C₄×C₁₃₉	—	4	2	no	—
417	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
418	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
419	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
420	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
421	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
422	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
423	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
424	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
425	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
426	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
427	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
428	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
429	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
430	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
431	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
432	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
433	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
434	C₂²⋊C₄×C₁₃₉	—	2	2	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	—	4	2	no	—
439	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
440	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
441	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
442	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
443	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
444	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	—
445	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
446	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
447	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
448	C₂²⋊C₄×C₁₃₉	#41	1	4	yes	complemented
449	C₄²×C₁₃₉	—	2	2	no	—
450	C₄²×C₁₃₉	—	2	2	no	—
451	C₄²×C₁₃₉	—	2	2	no	—
452	C₄²×C₁₃₉	—	2	2	no	—
453	C₄²×C₁₃₉	—	2	4	no	—
454	C₄²×C₁₃₉	—	2	2	no	—
455	C₄²×C₁₃₉	—	2	2	no	—
456	C₄²×C₁₃₉	—	4	1	no	—
457	C₄²×C₁₃₉	—	4	1	no	—
458	C₂³×C₁₃₉	—	2	1	no	—
459	C₂³×C₁₃₉	—	2	1	no	—
460	C₂³×C₁₃₉	—	2	1	no	—
461	C₂³×C₁₃₉	—	2	1	no	—
462	C₂³×C₁₃₉	—	2	1	no	—
463	C₂³×C₁₃₉	—	2	1	no	—
464	C₂³×C₁₃₉	—	2	1	no	—
465	C₂³×C₁₃₉	—	2	1	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	1	no	—
471	C₂³×C₁₃₉	—	2	2	no	—
472	C₂³×C₁₃₉	—	2	1	no	—
473	C₂³×C₁₃₉	—	2	2	no	—
474	C₂³×C₁₃₉	—	2	2	no	—
475	C₂³×C₁₃₉	—	2	1	no	—
476	C₂³×C₁₃₉	—	2	2	no	—
477	C₂³×C₁₃₉	—	2	1	no	—
478	C₂³×C₁₃₉	—	2	2	no	—
479	C₂³×C₁₃₉	—	2	1	no	—
480	C₂³×C₁₃₉	—	2	2	no	—
481	C₂³×C₁₃₉	—	2	2	no	—
482	C₂³×C₁₃₉	—	2	2	no	—
483	C₂³×C₁₃₉	—	2	2	no	—
484	C₂³×C₁₃₉	—	2	2	no	—
485	C₂³×C₁₃₉	—	2	2	no	—
486	C₂³×C₁₃₉	—	2	2	no	—
487	C₂³×C₁₃₉	—	2	2	no	—
488	C₂³×C₁₃₉	—	2	2	no	—
489	C₂³×C₁₃₉	—	2	2	no	—
490	C₂³×C₁₃₉	—	2	2	no	—
491	C₂³×C₁₃₉	—	2	2	no	—
492	C₂³×C₁₃₉	—	2	2	no	—
493	C₂³×C₁₃₉	—	2	2	no	—
494	C₂³×C₁₃₉	—	4	4	no	—
495	C₂³×C₁₃₉	—	4	4	no	—
496	C₂³×C₁₃₉	—	4	4	no	—
497	C₂³×C₁₃₉	—	4	4	no	—
498	C₂³×C₁₃₉	—	4	4	no	—
499	C₂³×C₁₃₉	—	4	8	no	—
500	C₂³×C₁₃₉	—	4	8	no	—
501	C₂³×C₁₃₉	—	4	8	no	—
502	C₂³×C₁₃₉	—	4	8	no	—
503	C₂³×C₁₃₉	—	8	4	no	—
504	C₂³×C₁₃₉	—	8	4	no	—
505	C₂³×C₁₃₉	—	8	4	no	—
506	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
507	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
508	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
509	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
510	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
511	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
512	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
513	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
514	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
515	Q₈×C₁₃₉	—	4	8	no	—
516	D₄×C₁₃₉	—	2	16	no	—
517	D₄×C₁₃₉	—	2	8	no	—
518	D₄×C₁₃₉	—	4	8	no	—
519	D₄×C₁₃₉	—	4	8	no	—
520	D₄×C₁₃₉	—	4	8	no	—
521	D₄×C₁₃₉	—	4	8	no	—
522	D₄×C₁₃₉	—	4	8	no	—
523	D₄×C₁₃₉	—	4	8	no	—
524	D₄×C₁₃₉	—	4	8	no	—
525	D₄×C₁₃₉	—	4	8	no	—
526	D₄×C₁₃₉	—	4	4	no	—
527	D₄×C₁₃₉	—	4	4	no	—
528	D₄×C₁₃₉	—	8	4	no	—
529	D₄×C₁₃₉	—	8	4	no	—
530	D₄×C₁₃₉	—	8	4	no	—
531	C₂×C₄×C₁₃₉	—	2	8	no	—
532	C₂×C₄×C₁₃₉	—	2	1	no	—
533	C₂×C₄×C₁₃₉	—	2	1	no	—
534	C₂×C₄×C₁₃₉	—	2	1	no	—
535	C₂×C₄×C₁₃₉	—	2	2	no	—
536	C₂×C₄×C₁₃₉	—	2	1	no	—
537	C₂×C₄×C₁₃₉	—	2	1	no	—
538	C₂×C₄×C₁₃₉	—	2	1	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	1	no	—
543	C₂×C₄×C₁₃₉	—	2	1	no	—
544	C₂×C₄×C₁₃₉	—	2	1	no	—
545	C₂×C₄×C₁₃₉	—	2	1	no	—
546	C₂×C₄×C₁₃₉	—	2	2	no	—
547	C₂×C₄×C₁₃₉	—	2	1	no	—
548	C₂×C₄×C₁₃₉	—	2	1	no	—
549	C₂×C₄×C₁₃₉	—	2	1	no	—
550	C₂×C₄×C₁₃₉	—	2	8	no	—
551	C₂×C₄×C₁₃₉	—	2	8	no	—
552	C₂×C₄×C₁₃₉	—	2	1	no	—
553	C₂×C₄×C₁₃₉	—	2	2	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	1	no	—
562	C₂×C₄×C₁₃₉	—	2	2	no	—
563	C₂×C₄×C₁₃₉	—	2	2	no	—
564	C₂×C₄×C₁₃₉	—	2	1	no	—
565	C₂×C₄×C₁₃₉	—	2	1	no	—
566	C₂×C₄×C₁₃₉	—	2	1	no	—
567	C₂×C₄×C₁₃₉	—	2	2	no	—
568	C₂×C₄×C₁₃₉	—	2	1	no	—
569	C₂×C₄×C₁₃₉	—	2	2	no	—
570	C₂×C₄×C₁₃₉	—	2	2	no	—
571	C₂×C₄×C₁₃₉	—	2	1	no	—
572	C₂×C₄×C₁₃₉	—	2	2	no	—
573	C₂×C₄×C₁₃₉	—	4	4	no	—
574	C₂×C₄×C₁₃₉	—	4	4	no	—
575	C₂×C₄×C₁₃₉	—	4	8	no	—
576	C₂×C₄×C₁₃₉	—	4	4	no	—
577	C₂×C₄×C₁₃₉	—	4	4	no	—
578	C₂×C₄×C₁₃₉	—	4	4	no	—
579	C₂×C₄×C₁₃₉	—	4	4	no	—
580	C₂×C₄×C₁₃₉	—	4	8	no	—
581	C₂×C₄×C₁₃₉	—	4	8	no	—
582	C₂×C₄×C₁₃₉	—	4	4	no	—
583	C₂×C₄×C₁₃₉	—	8	4	no	—
584	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
585	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
586	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
587	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
588	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
589	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
590	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
591	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
592	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
593	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
594	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
595	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
596	C₂²×C₁₃₉	—	2	2	no	—
597	C₂²×C₁₃₉	—	2	2	no	—
598	C₂²×C₁₃₉	—	2	2	no	—
599	C₂²×C₁₃₉	—	2	2	no	—
600	C₂²×C₁₃₉	—	2	2	no	—
601	C₂²×C₁₃₉	—	2	2	no	—
602	C₂²×C₁₃₉	—	2	2	no	—
603	C₂²×C₁₃₉	—	2	2	no	—
604	C₂²×C₁₃₉	—	2	2	no	—
605	C₂²×C₁₃₉	—	2	2	no	—
606	C₂²×C₁₃₉	—	2	2	no	—
607	C₂²×C₁₃₉	—	2	2	no	—
608	C₂²×C₁₃₉	—	2	2	no	—
609	C₂²×C₁₃₉	—	2	4	no	—
610	C₂²×C₁₃₉	—	2	2	no	—
611	C₂²×C₁₃₉	—	2	4	no	—
612	C₂²×C₁₃₉	—	2	4	no	—
613	C₂²×C₁₃₉	—	2	2	no	—
614	C₂²×C₁₃₉	—	4	16	no	—
615	C₂²×C₁₃₉	—	4	2	no	—
616	C₂²×C₁₃₉	—	4	1	no	—
617	C₂²×C₁₃₉	—	4	1	no	—
618	C₂²×C₁₃₉	—	4	1	no	—
619	C₂²×C₁₃₉	—	4	2	no	—
620	C₂²×C₁₃₉	—	4	2	no	—
621	C₂²×C₁₃₉	—	4	1	no	—
622	C₂²×C₁₃₉	—	4	2	no	—
623	C₂²×C₁₃₉	—	4	2	no	—
624	C₂²×C₁₃₉	—	4	2	no	—
625	C₂²×C₁₃₉	—	4	2	no	—
626	C₂²×C₁₃₉	—	4	2	no	—
627	C₂²×C₁₃₉	—	4	2	no	—
628	C₂²×C₁₃₉	—	4	2	no	—
629	C₂²×C₁₃₉	—	4	2	no	—
630	C₂²×C₁₃₉	—	4	2	no	—
631	C₂²×C₁₃₉	—	4	2	no	—
632	C₂²×C₁₃₉	—	4	2	no	—
633	C₂²×C₁₃₉	—	4	2	no	—
634	C₂²×C₁₃₉	—	4	2	no	—
635	C₂²×C₁₃₉	—	4	2	no	—
636	C₂²×C₁₃₉	—	4	2	no	—
637	C₂²×C₁₃₉	—	8	16	no	—
638	C₂²×C₁₃₉	#532	1	4	yes	complemented
639	C₂²×C₁₃₉	D₄²	1	4	yes	—
640	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
641	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
642	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
643	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
644	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
645	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
646	C₂²×C₁₃₉	#585	1	1	yes	characteristic
647	C₄×C₁₃₉	—	2	2	no	—
648	C₄×C₁₃₉	—	2	2	no	—
649	C₄×C₁₃₉	—	2	4	no	—
650	C₄×C₁₃₉	—	2	2	no	—
651	C₄×C₁₃₉	—	2	2	no	—
652	C₄×C₁₃₉	—	2	2	no	—
653	C₄×C₁₃₉	—	2	2	no	—
654	C₄×C₁₃₉	—	2	2	no	—
655	C₄×C₁₃₉	—	2	2	no	—
656	C₄×C₁₃₉	—	4	2	no	—
657	C₄×C₁₃₉	—	4	2	no	—
658	C₄×C₁₃₉	—	4	2	no	—
659	C₄×C₁₃₉	—	4	1	no	—
660	C₄×C₁₃₉	—	4	1	no	—
661	C₄×C₁₃₉	—	4	2	no	—
662	C₄×C₁₃₉	—	4	1	no	—
663	C₄×C₁₃₉	#546	1	4	yes	complemented
664	C₂×C₁₃₉	—	2	4	no	—
665	C₂×C₁₃₉	—	2	4	no	—
666	C₂×C₁₃₉	—	4	2	no	—
667	C₂×C₁₃₉	—	4	4	no	—
668	C₂×C₁₃₉	—	8	2	no	—
669	C₂×C₁₃₉	—	8	2	no	—
670	C₂×C₁₃₉	C₂×#532	1	1	yes	characteristic
671	C₂×C₁₃₉	C₂×D₄²	1	1	yes	characteristic
672	C₂×C₁₃₉	C₂×#546	1	1	yes	characteristic
673	C₂×C₁₃₉	D₄×#41	1	1	yes	characteristic
674	C₂×C₁₃₉	#3494	1	1	yes	characteristic
675	C₂×C₁₃₉	#3496	1	1	yes	characteristic
676	C₂×C₁₃₉	#3519	1	1	yes	characteristic
677	#36123	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
678	C₁₃₉	#36123	1	1	yes	characteristic, direct product factor, Sylow
679	C₂×#546	C₂×C₁₃₉	1	2	yes	complemented
680	C₂×#532	C₂×C₁₃₉	1	1	yes	characteristic, complemented
681	C₂²×#121	C₂×C₁₃₉	1	1	yes	characteristic, complemented
682	#2856	C₂×C₁₃₉	1	1	yes	characteristic, complemented
683	#2854	C₂×C₁₃₉	1	1	yes	characteristic, complemented
684	#2847	C₂×C₁₃₉	1	1	yes	characteristic, complemented
685	#2555	C₂×C₁₃₉	1	2	yes	complemented
686	#2543	C₂×C₁₃₉	1	2	yes	complemented
687	#2491	C₂×C₁₃₉	1	1	yes	characteristic, complemented
688	#2472	C₂×C₁₃₉	1	2	yes	complemented
689	#2464	C₂×C₁₃₉	1	2	yes	complemented
690	#2440	C₂×C₁₃₉	1	1	yes	characteristic, complemented
691	#2433	C₂×C₁₃₉	1	1	yes	characteristic, complemented
692	#2430	C₂×C₁₃₉	1	2	yes	complemented
693	#2428	C₂×C₁₃₉	1	1	yes	characteristic, complemented
694	#2428	C₂×C₁₃₉	1	1	yes	characteristic, complemented
695	#2422	C₂×C₁₃₉	1	1	yes	characteristic, complemented
696	#2410	C₂×C₁₃₉	1	2	yes	complemented
697	#2361	C₂×C₁₃₉	1	1	yes	characteristic, complemented
698	#2358	C₂×C₁₃₉	1	2	yes	complemented
699	D₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
700	C₄×#121	C₂×C₁₃₉	1	1	yes	characteristic, complemented
701	C₂×C₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
702	C₂²×#41	C₂²×C₁₃₉	1	2	yes	complemented
703	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
704	C₂³×D₄	C₂²×C₁₃₉	1	2	yes	—
705	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
706	#546	—	2	16	no	—
707	#532	—	2	8	no	—
708	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
709	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
710	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
711	C₂×#124	C₂²×C₁₃₉	1	2	yes	complemented
712	C₂×#124	C₂²×C₁₃₉	1	2	yes	complemented
713	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
714	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
715	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
716	C₂×#121	—	2	8	no	—
717	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
718	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
719	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
720	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
721	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
722	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
723	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
724	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
725	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
726	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
727	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
728	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
729	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
730	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
731	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
732	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
733	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
734	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
735	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
736	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
737	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
738	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
739	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
740	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
741	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
742	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
743	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
744	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
745	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
746	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
747	#398	C₂²×C₁₃₉	1	2	yes	complemented
748	#397	C₂²×C₁₃₉	1	2	yes	complemented
749	#395	C₂²×C₁₃₉	1	2	yes	complemented
750	#394	C₂²×C₁₃₉	1	2	yes	complemented
751	#394	C₂²×C₁₃₉	1	2	yes	complemented
752	#394	C₂²×C₁₃₉	1	2	yes	complemented
753	#394	C₂²×C₁₃₉	1	2	yes	complemented
754	#393	C₂²×C₁₃₉	1	2	yes	complemented
755	#392	C₂²×C₁₃₉	1	2	yes	complemented
756	#392	C₂²×C₁₃₉	1	2	yes	complemented
757	#392	C₂²×C₁₃₉	1	2	yes	complemented
758	#392	C₂²×C₁₃₉	1	2	yes	complemented
759	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
760	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
761	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
762	#390	C₂²×C₁₃₉	1	2	yes	complemented
763	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
764	#390	C₂²×C₁₃₉	1	2	yes	complemented
765	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
766	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
767	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
768	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
769	#388	C₂²×C₁₃₉	1	2	yes	complemented
770	#388	C₂²×C₁₃₉	1	2	yes	complemented
771	#388	C₂²×C₁₃₉	1	2	yes	complemented
772	#388	C₂²×C₁₃₉	1	2	yes	complemented
773	#388	C₂²×C₁₃₉	1	2	yes	complemented
774	#386	C₂²×C₁₃₉	1	2	yes	—
775	#386	C₂²×C₁₃₉	1	2	yes	—
776	#386	C₂²×C₁₃₉	1	2	yes	complemented
777	#386	C₂²×C₁₃₉	1	2	yes	complemented
778	#386	C₂²×C₁₃₉	1	2	yes	complemented
779	#386	C₂²×C₁₃₉	1	2	yes	complemented
780	#386	C₂²×C₁₃₉	1	2	yes	complemented
781	#386	C₂²×C₁₃₉	1	2	yes	complemented
782	#386	C₂²×C₁₃₉	1	2	yes	complemented
783	#386	C₂²×C₁₃₉	1	2	yes	complemented
784	#385	C₂²×C₁₃₉	1	2	yes	—
785	#385	C₂²×C₁₃₉	1	2	yes	complemented
786	#385	C₂²×C₁₃₉	1	2	yes	complemented
787	#384	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
788	#380	C₂²×C₁₃₉	1	1	yes	characteristic
789	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
790	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
791	#379	C₂²×C₁₃₉	1	2	yes	—
792	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
793	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
794	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
795	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
796	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
797	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
798	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
799	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
800	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
801	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
802	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
803	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
804	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
805	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
806	C₂×#41	—	2	8	no	—
807	C₂×#41	—	2	8	no	—
808	C₂×#41	—	4	4	no	—
809	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
810	C₂²×D₄	—	2	8	no	—
811	C₂²×D₄	—	2	4	no	—
812	C₂²×D₄	—	2	8	no	—
813	C₂²×D₄	—	2	4	no	—
814	C₂²×D₄	—	4	2	no	—
815	C₂²×D₄	—	4	4	no	—
816	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
817	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
818	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
819	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
820	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
821	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
822	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
823	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
824	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
825	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
826	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
827	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
828	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
829	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
830	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
831	C₂³×C₄	—	2	4	no	—
832	C₂³×C₄	—	2	4	no	—
833	C₂³×C₄	—	4	2	no	—
834	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
835	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
836	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
837	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
838	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
839	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
840	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
841	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
842	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
843	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
844	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
845	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
846	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
847	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
848	C₄⋊Q₈	—	2	4	no	—
849	#127	—	2	4	no	—
850	#127	—	4	2	no	—
851	#124	—	2	8	no	—
852	#124	—	2	8	no	—
853	#123	—	2	8	no	—
854	#123	—	2	8	no	—
855	C₂²⋊Q₈	—	2	8	no	—
856	#121	—	2	4	no	—
857	#121	—	2	8	no	—
858	#121	—	2	8	no	—
859	#121	—	2	4	no	—
860	#121	—	2	4	no	—
861	#121	—	2	8	no	—
862	#121	—	2	4	no	—
863	#121	—	2	4	no	—
864	#121	—	2	8	no	—
865	#121	—	2	8	no	—
866	#121	—	2	8	no	—
867	#121	—	4	2	no	—
868	#121	—	4	4	no	—
869	#121	D₄×C₁₃₉	1	8	yes	complemented
870	#120	—	2	8	no	—
871	#120	—	2	8	no	—
872	#120	—	2	8	no	—
873	C₄×D₄	—	2	4	no	—
874	C₄×D₄	—	2	8	no	—
875	C₄×D₄	—	2	4	no	—
876	C₄×D₄	—	2	8	no	—
877	C₄×D₄	—	2	8	no	—
878	C₄×D₄	—	4	2	no	—
879	C₂×C₄⋊C₄	—	2	4	no	—
880	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
881	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
882	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
883	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
884	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
885	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
886	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
887	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
888	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
889	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
890	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
891	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
892	C₂×C₂²⋊C₄	—	2	8	no	—
893	C₂×C₂²⋊C₄	—	2	8	no	—
894	C₂×C₂²⋊C₄	—	2	4	no	—
895	C₂×C₂²⋊C₄	D₄×C₁₃₉	1	8	yes	complemented
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	2	yes	—
899	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
900	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
901	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
902	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
903	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
904	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
905	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
906	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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	2	yes	—
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	2	yes	—
918	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
919	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
920	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
921	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
922	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
923	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
926	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
927	C₂×C₄²	—	2	4	no	—
928	C₂×C₄²	—	4	2	no	—
929	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
930	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
931	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
932	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
933	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
934	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
935	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
936	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
937	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
938	#95	C₂³×C₁₃₉	1	1	yes	characteristic
939	#95	C₂³×C₁₃₉	1	1	yes	characteristic
940	#95	C₂³×C₁₃₉	1	1	yes	characteristic
941	#95	C₂³×C₁₃₉	1	1	yes	characteristic
942	#95	C₂³×C₁₃₉	1	1	yes	characteristic
943	#95	C₂³×C₁₃₉	1	1	yes	characteristic
944	#95	C₂³×C₁₃₉	1	1	yes	characteristic
945	#95	C₂³×C₁₃₉	1	1	yes	characteristic
946	#95	C₂³×C₁₃₉	1	2	yes	—
947	#95	C₂³×C₁₃₉	1	2	yes	—
948	#95	C₂³×C₁₃₉	1	2	yes	—
949	#95	C₂³×C₁₃₉	1	2	yes	—
950	#95	C₂³×C₁₃₉	1	2	yes	—
951	#95	C₂³×C₁₃₉	1	2	yes	—
952	#95	C₂³×C₁₃₉	1	2	yes	—
953	C₂⁴	—	2	2	no	—
954	C₂⁴	—	2	2	no	—
955	C₂⁴	—	2	2	no	—
956	C₂⁴	—	2	2	no	—
957	C₂⁴	—	2	4	no	—
958	C₂⁴	—	2	4	no	—
959	C₂⁴	—	2	4	no	—
960	C₂⁴	—	2	4	no	—
961	C₂⁴	—	4	1	no	—
962	C₂⁴	—	4	1	no	—
963	C₂⁴	—	4	2	no	—
964	C₂⁴	—	4	2	no	—
965	C₂⁴	—	4	2	no	—
966	C₂⁴	C₂×D₄×C₁₃₉	1	4	yes	—
967	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
968	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
969	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
970	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
971	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
972	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
973	#41	—	4	32	no	—
974	C₂×Q₈	—	2	4	no	—
975	C₂×Q₈	—	2	4	no	—
976	C₂×Q₈	—	4	2	no	—
977	C₂×D₄	—	2	4	no	—
978	C₂×D₄	—	2	4	no	—
979	C₂×D₄	—	2	4	no	—
980	C₂×D₄	—	2	4	no	—
981	C₂×D₄	—	2	4	no	—
982	C₂×D₄	—	2	4	no	—
983	C₂×D₄	—	2	4	no	—
984	C₂×D₄	—	2	4	no	—
985	C₂×D₄	—	2	4	no	—
986	C₂×D₄	—	2	4	no	—
987	C₂×D₄	—	2	4	no	—
988	C₂×D₄	—	2	4	no	—
989	C₂×D₄	—	2	4	no	—
990	C₂×D₄	—	2	4	no	—
991	C₂×D₄	—	2	4	no	—
992	C₂×D₄	—	2	4	no	—
993	C₂×D₄	—	2	4	no	—
994	C₂×D₄	—	2	4	no	—
995	C₂×D₄	—	2	2	no	—
996	C₂×D₄	—	2	4	no	—
997	C₂×D₄	—	2	4	no	—
998	C₂×D₄	—	2	2	no	—
999	C₂×D₄	—	2	4	no	—
1000	C₂×D₄	—	2	2	no	—
1001	C₂×D₄	—	2	4	no	—
1002	C₂×D₄	—	2	2	no	—
1003	C₂×D₄	—	2	4	no	—
1004	C₂×D₄	—	2	2	no	—
1005	C₂×D₄	—	2	4	no	—
1006	C₂×D₄	—	2	2	no	—
1007	C₂×D₄	—	2	2	no	—
1008	C₂×D₄	—	2	2	no	—
1009	C₂×D₄	—	4	16	no	—
1010	C₂×D₄	—	4	2	no	—
1011	C₂×D₄	—	4	2	no	—
1012	C₂×D₄	—	4	2	no	—
1013	C₂×D₄	—	4	2	no	—
1014	C₂×D₄	—	4	2	no	—
1015	C₂×D₄	—	4	2	no	—
1016	C₂×D₄	—	4	2	no	—
1017	C₂×D₄	—	4	2	no	—
1018	C₂×D₄	—	4	2	no	—
1019	C₂×D₄	—	4	2	no	—
1020	C₂×D₄	—	4	2	no	—
1021	C₂×D₄	—	4	32	no	—
1022	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
1023	C₂×D₄	C₂×D₄×C₁₃₉	1	8	yes	—
1024	C₂²×C₄	—	2	2	no	—
1025	C₂²×C₄	—	2	2	no	—
1026	C₂²×C₄	—	2	2	no	—
1027	C₂²×C₄	—	2	2	no	—
1028	C₂²×C₄	—	2	2	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	—	2	2	no	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	2	4	no	—
1038	C₂²×C₄	—	2	4	no	—
1039	C₂²×C₄	—	2	4	no	—
1040	C₂²×C₄	—	2	4	no	—
1041	C₂²×C₄	—	2	2	no	—
1042	C₂²×C₄	—	2	2	no	—
1043	C₂²×C₄	—	2	2	no	—
1044	C₂²×C₄	—	2	2	no	—
1045	C₂²×C₄	—	2	2	no	—
1046	C₂²×C₄	—	2	2	no	—
1047	C₂²×C₄	—	2	2	no	—
1048	C₂²×C₄	—	2	2	no	—
1049	C₂²×C₄	—	2	4	no	—
1050	C₂²×C₄	—	4	1	no	—
1051	C₂²×C₄	—	4	1	no	—
1052	C₂²×C₄	—	4	1	no	—
1053	C₂²×C₄	—	4	1	no	—
1054	C₂²×C₄	—	4	1	no	—
1055	C₂²×C₄	—	4	1	no	—
1056	C₂²×C₄	—	4	1	no	—
1057	C₂²×C₄	—	4	2	no	—
1058	C₂²×C₄	—	4	2	no	—
1059	C₂²×C₄	—	4	2	no	—
1060	C₂²×C₄	—	4	16	no	—
1061	C₂²×C₄	—	4	2	no	—
1062	C₂²×C₄	—	4	2	no	—
1063	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1064	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
1065	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
1066	C₂²×C₄	#41×C₁₃₉	1	4	yes	complemented
1067	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1068	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1069	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1070	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1071	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1072	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1073	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1074	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1075	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1076	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1077	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1078	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1079	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1080	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1081	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1082	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1083	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1084	C₄⋊C₄	—	2	4	no	—
1085	C₄⋊C₄	—	2	2	no	—
1086	C₄⋊C₄	—	2	4	no	—
1087	C₄⋊C₄	—	2	4	no	—
1088	C₄⋊C₄	—	2	2	no	—
1089	C₄⋊C₄	—	2	4	no	—
1090	C₄⋊C₄	—	2	4	no	—
1091	C₄⋊C₄	—	2	4	no	—
1092	C₄⋊C₄	—	2	2	no	—
1093	C₄⋊C₄	—	2	2	no	—
1094	C₄⋊C₄	—	4	2	no	—
1095	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1096	C₂²⋊C₄	—	2	4	no	—
1097	C₂²⋊C₄	—	2	4	no	—
1098	C₂²⋊C₄	—	2	4	no	—
1099	C₂²⋊C₄	—	2	4	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	—	2	4	no	—
1106	C₂²⋊C₄	—	2	4	no	—
1107	C₂²⋊C₄	—	2	4	no	—
1108	C₂²⋊C₄	—	2	4	no	—
1109	C₂²⋊C₄	—	2	4	no	—
1110	C₂²⋊C₄	—	2	4	no	—
1111	C₂²⋊C₄	—	2	2	no	—
1112	C₂²⋊C₄	—	2	2	no	—
1113	C₂²⋊C₄	—	2	4	no	—
1114	C₂²⋊C₄	—	2	4	no	—
1115	C₂²⋊C₄	—	2	4	no	—
1116	C₂²⋊C₄	—	4	2	no	—
1117	C₂²⋊C₄	—	4	2	no	—
1118	C₂²⋊C₄	—	4	2	no	—
1119	C₂²⋊C₄	—	4	2	no	—
1120	C₂²⋊C₄	—	4	2	no	—
1121	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1122	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	—
1123	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1124	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
1125	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
1126	C₂²⋊C₄	#41×C₁₃₉	1	4	yes	complemented
1127	C₄²	—	2	2	no	—
1128	C₄²	—	2	2	no	—
1129	C₄²	—	2	2	no	—
1130	C₄²	—	2	2	no	—
1131	C₄²	—	2	4	no	—
1132	C₄²	—	2	2	no	—
1133	C₄²	—	2	2	no	—
1134	C₄²	—	4	1	no	—
1135	C₄²	—	4	1	no	—
1136	C₂³	—	2	1	no	—
1137	C₂³	—	2	1	no	—
1138	C₂³	—	2	1	no	—
1139	C₂³	—	2	1	no	—
1140	C₂³	—	2	1	no	—
1141	C₂³	—	2	1	no	—
1142	C₂³	—	2	1	no	—
1143	C₂³	—	2	1	no	—
1144	C₂³	—	2	8	no	—
1145	C₂³	—	2	8	no	—
1146	C₂³	—	2	2	no	—
1147	C₂³	—	2	1	no	—
1148	C₂³	—	2	1	no	—
1149	C₂³	—	2	2	no	—
1150	C₂³	—	2	1	no	—
1151	C₂³	—	2	2	no	—
1152	C₂³	—	2	2	no	—
1153	C₂³	—	2	1	no	—
1154	C₂³	—	2	2	no	—
1155	C₂³	—	2	1	no	—
1156	C₂³	—	2	2	no	—
1157	C₂³	—	2	1	no	—
1158	C₂³	—	2	2	no	—
1159	C₂³	—	2	2	no	—
1160	C₂³	—	2	2	no	—
1161	C₂³	—	2	2	no	—
1162	C₂³	—	2	2	no	—
1163	C₂³	—	2	2	no	—
1164	C₂³	—	2	2	no	—
1165	C₂³	—	2	2	no	—
1166	C₂³	—	2	2	no	—
1167	C₂³	—	2	2	no	—
1168	C₂³	—	2	2	no	—
1169	C₂³	—	2	2	no	—
1170	C₂³	—	2	2	no	—
1171	C₂³	—	2	2	no	—
1172	C₂³	—	4	4	no	—
1173	C₂³	—	4	4	no	—
1174	C₂³	—	4	4	no	—
1175	C₂³	—	4	4	no	—
1176	C₂³	—	4	4	no	—
1177	C₂³	—	4	8	no	—
1178	C₂³	—	4	8	no	—
1179	C₂³	—	4	8	no	—
1180	C₂³	—	4	8	no	—
1181	C₂³	—	8	4	no	—
1182	C₂³	—	8	4	no	—
1183	C₂³	—	8	4	no	—
1184	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
1185	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1186	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1187	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1188	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1189	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1190	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1191	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1192	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1193	Q₈	—	4	8	no	—
1194	D₄	—	2	16	no	—
1195	D₄	—	2	8	no	—
1196	D₄	—	4	8	no	—
1197	D₄	—	4	8	no	—
1198	D₄	—	4	8	no	—
1199	D₄	—	4	8	no	—
1200	D₄	—	4	8	no	—
1201	D₄	—	4	8	no	—
1202	D₄	—	4	8	no	—
1203	D₄	—	4	8	no	—
1204	D₄	—	4	4	no	—
1205	D₄	—	4	4	no	—
1206	D₄	—	8	4	no	—
1207	D₄	—	8	4	no	—
1208	D₄	—	8	4	no	—
1209	C₂×C₄	—	2	8	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	2	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	2	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	8	no	—
1229	C₂×C₄	—	2	8	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	2	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	2	no	—
1234	C₂×C₄	—	2	2	no	—
1235	C₂×C₄	—	2	2	no	—
1236	C₂×C₄	—	2	2	no	—
1237	C₂×C₄	—	2	2	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	2	no	—
1241	C₂×C₄	—	2	2	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	2	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	2	no	—
1248	C₂×C₄	—	2	2	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	2	no	—
1251	C₂×C₄	—	4	4	no	—
1252	C₂×C₄	—	4	4	no	—
1253	C₂×C₄	—	4	8	no	—
1254	C₂×C₄	—	4	4	no	—
1255	C₂×C₄	—	4	4	no	—
1256	C₂×C₄	—	4	8	no	—
1257	C₂×C₄	—	4	8	no	—
1258	C₂×C₄	—	4	4	no	—
1259	C₂×C₄	—	4	4	no	—
1260	C₂×C₄	—	4	4	no	—
1261	C₂×C₄	—	8	4	no	—
1262	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1263	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1264	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1265	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1266	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1267	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
1268	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1269	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1270	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1271	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1272	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1273	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1274	C₂²	—	2	2	no	—
1275	C₂²	—	2	2	no	—
1276	C₂²	—	2	2	no	—
1277	C₂²	—	2	2	no	—
1278	C₂²	—	2	2	no	—
1279	C₂²	—	2	2	no	—
1280	C₂²	—	2	2	no	—
1281	C₂²	—	2	2	no	—
1282	C₂²	—	2	2	no	—
1283	C₂²	—	2	2	no	—
1284	C₂²	—	2	2	no	—
1285	C₂²	—	2	2	no	—
1286	C₂²	—	2	2	no	—
1287	C₂²	—	2	4	no	—
1288	C₂²	—	2	2	no	—
1289	C₂²	—	2	4	no	—
1290	C₂²	—	2	4	no	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	4	16	no	—
1293	C₂²	—	4	2	no	—
1294	C₂²	—	4	1	no	—
1295	C₂²	—	4	1	no	—
1296	C₂²	—	4	1	no	—
1297	C₂²	—	4	2	no	—
1298	C₂²	—	4	2	no	—
1299	C₂²	—	4	1	no	—
1300	C₂²	—	4	2	no	—
1301	C₂²	—	4	2	no	—
1302	C₂²	—	4	2	no	—
1303	C₂²	—	4	2	no	—
1304	C₂²	—	4	2	no	—
1305	C₂²	—	4	2	no	—
1306	C₂²	—	4	2	no	—
1307	C₂²	—	4	2	no	—
1308	C₂²	—	4	2	no	—
1309	C₂²	—	4	2	no	—
1310	C₂²	—	4	2	no	—
1311	C₂²	—	4	2	no	—
1312	C₂²	—	4	2	no	—
1313	C₂²	—	4	2	no	—
1314	C₂²	—	4	2	no	—
1315	C₂²	—	8	16	no	—
1316	C₂²	#532×C₁₃₉	1	4	yes	complemented
1317	C₂²	D₄²×C₁₃₉	1	4	yes	—
1318	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1319	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1320	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1321	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1322	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1323	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1324	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1325	C₄	—	2	2	no	—
1326	C₄	—	2	2	no	—
1327	C₄	—	2	4	no	—
1328	C₄	—	2	2	no	—
1329	C₄	—	2	2	no	—
1330	C₄	—	2	2	no	—
1331	C₄	—	2	2	no	—
1332	C₄	—	2	2	no	—
1333	C₄	—	2	2	no	—
1334	C₄	—	4	2	no	—
1335	C₄	—	4	2	no	—
1336	C₄	—	4	2	no	—
1337	C₄	—	4	1	no	—
1338	C₄	—	4	1	no	—
1339	C₄	—	4	2	no	—
1340	C₄	—	4	1	no	—
1341	C₄	#546×C₁₃₉	1	4	yes	complemented
1342	C₂	—	2	4	no	—
1343	C₂	—	2	4	no	—
1344	C₂	—	4	2	no	—
1345	C₂	—	4	4	no	—
1346	C₂	—	8	2	no	—
1347	C₂	—	8	2	no	—
1348	C₂	C₂×#532×C₁₃₉	1	1	yes	characteristic
1349	C₂	C₂×D₄²×C₁₃₉	1	1	yes	characteristic
1350	C₂	C₂×#546×C₁₃₉	1	1	yes	characteristic
1351	C₂	D₄×#41×C₁₃₉	1	1	yes	characteristic
1352	C₂	#3494×C₁₃₉	1	1	yes	characteristic
1353	C₂	#3496×C₁₃₉	1	1	yes	characteristic
1354	C₂	#3519×C₁₃₉	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂×#546×C₁₃₉	C₂	semidirect
2. C₂×#532×C₁₃₉	C₂	semidirect
3. C₂²×#121×C₁₃₉	C₂	semidirect
4. #2856×C₁₃₉	C₂	semidirect
5. #2854×C₁₃₉	C₂	semidirect
6. #2847×C₁₃₉	C₂	semidirect
7. #2555×C₁₃₉	C₂	semidirect
8. #2543×C₁₃₉	C₂	semidirect
9. #2491×C₁₃₉	C₂	semidirect
10. #2472×C₁₃₉	C₂	semidirect
11. #2464×C₁₃₉	C₂	semidirect
12. #2440×C₁₃₉	C₂	semidirect
13. #2433×C₁₃₉	C₂	semidirect
14. #2430×C₁₃₉	C₂	semidirect
15. #2428×C₁₃₉	C₂	semidirect
16. #2428×C₁₃₉	C₂	semidirect
17. #2422×C₁₃₉	C₂	semidirect
18. #2410×C₁₃₉	C₂	semidirect
19. #2361×C₁₃₉	C₂	semidirect
20. #2358×C₁₃₉	C₂	semidirect
21. D₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
22. C₄×#121×C₁₃₉	C₂	semidirect
23. C₂×C₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
24. C₂²×#41×C₁₃₉	C₂²	semidirect
30. C₂×C₄⋊Q₈×C₁₃₉	C₂²	semidirect
31. C₂×#127×C₁₃₉	C₂²	semidirect
32. C₂×#127×C₁₃₉	C₂²	semidirect
33. C₂×#124×C₁₃₉	C₂²	semidirect
34. C₂×#124×C₁₃₉	C₂²	semidirect
35. C₂×#123×C₁₃₉	C₂²	semidirect
36. C₂×#123×C₁₃₉	C₂²	semidirect
46. C₂×#121×C₁₃₉	C₂²	semidirect
47. C₂×#121×C₁₃₉	C₂²	semidirect
48. C₂×#121×C₁₃₉	C₂²	semidirect
49. C₂×#121×C₁₃₉	C₂²	semidirect
50. C₂×#121×C₁₃₉	C₂²	semidirect
51. C₂×#121×C₁₃₉	C₂²	semidirect
52. C₂×#121×C₁₃₉	C₂²	semidirect
57. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
58. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
59. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
60. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
61. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
67. C₂²×C₄²×C₁₃₉	C₂²	semidirect
68. C₂²×C₄²×C₁₃₉	C₂²	semidirect
69. #398×C₁₃₉	C₂²	semidirect
70. #397×C₁₃₉	C₂²	semidirect
71. #395×C₁₃₉	C₂²	semidirect
72. #394×C₁₃₉	C₂²	semidirect
73. #394×C₁₃₉	C₂²	semidirect
74. #394×C₁₃₉	C₂²	semidirect
75. #394×C₁₃₉	C₂²	semidirect
76. #393×C₁₃₉	C₂²	semidirect
77. #392×C₁₃₉	C₂²	semidirect
78. #392×C₁₃₉	C₂²	semidirect
79. #392×C₁₃₉	C₂²	semidirect
80. #392×C₁₃₉	C₂²	semidirect
81. #390×C₁₃₉	C₂²	semidirect
82. #390×C₁₃₉	C₂²	semidirect
83. #390×C₁₃₉	C₂²	semidirect
84. #390×C₁₃₉	C₂²	semidirect
85. #390×C₁₃₉	C₂²	semidirect
86. #390×C₁₃₉	C₂²	semidirect
87. #390×C₁₃₉	C₂²	semidirect
88. #389×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
98. #386×C₁₃₉	C₂²	semidirect
99. #386×C₁₃₉	C₂²	semidirect
100. #386×C₁₃₉	C₂²	semidirect
101. #386×C₁₃₉	C₂²	semidirect
102. #386×C₁₃₉	C₂²	semidirect
103. #386×C₁₃₉	C₂²	semidirect
104. #386×C₁₃₉	C₂²	semidirect
105. #386×C₁₃₉	C₂²	semidirect
107. #385×C₁₃₉	C₂²	semidirect
108. #385×C₁₃₉	C₂²	semidirect
109. #384×C₁₃₉	C₂²	semidirect
111. #380×C₁₃₉	C₂²	semidirect
112. #380×C₁₃₉	C₂²	semidirect
114. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
119. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
120. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
121. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
122. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
123. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
124. C₂×#95×C₁₃₉	C₂²	semidirect
125. C₂×#95×C₁₃₉	C₂²	semidirect
191. #121×C₁₃₉	D₄	semidirect
217. C₂×C₂²⋊C₄×C₁₃₉	D₄	semidirect
386. C₂²×C₄×C₁₃₉	C₂×D₄	semidirect
387. C₂²×C₄×C₁₃₉	C₂×D₄	semidirect
388. C₂²×C₄×C₁₃₉	#41	semidirect
446. C₂²⋊C₄×C₁₃₉	C₂×D₄	semidirect
447. C₂²⋊C₄×C₁₃₉	C₂×D₄	semidirect
448. C₂²⋊C₄×C₁₃₉	#41	semidirect
638. C₂²×C₁₃₉	#532	semidirect
663. C₄×C₁₃₉	#546	semidirect
677. #36123	C₁₃₉	direct (N × H)
678. C₁₃₉	#36123	direct (N × H)
679. C₂×#546	C₂×C₁₃₉	semidirect
680. C₂×#532	C₂×C₁₃₉	semidirect
681. C₂²×#121	C₂×C₁₃₉	semidirect
682. #2856	C₂×C₁₃₉	semidirect
683. #2854	C₂×C₁₃₉	semidirect
684. #2847	C₂×C₁₃₉	semidirect
685. #2555	C₂×C₁₃₉	semidirect
686. #2543	C₂×C₁₃₉	semidirect
687. #2491	C₂×C₁₃₉	semidirect
688. #2472	C₂×C₁₃₉	semidirect
689. #2464	C₂×C₁₃₉	semidirect
690. #2440	C₂×C₁₃₉	semidirect
691. #2433	C₂×C₁₃₉	semidirect
692. #2430	C₂×C₁₃₉	semidirect
693. #2428	C₂×C₁₃₉	semidirect
694. #2428	C₂×C₁₃₉	semidirect
695. #2422	C₂×C₁₃₉	semidirect
696. #2410	C₂×C₁₃₉	semidirect
697. #2361	C₂×C₁₃₉	semidirect
698. #2358	C₂×C₁₃₉	semidirect
699. D₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
700. C₄×#121	C₂×C₁₃₉	semidirect
701. C₂×C₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
702. C₂²×#41	C₂²×C₁₃₉	semidirect
708. C₂×C₄⋊Q₈	C₂²×C₁₃₉	semidirect
709. C₂×#127	C₂²×C₁₃₉	semidirect
710. C₂×#127	C₂²×C₁₃₉	semidirect
711. C₂×#124	C₂²×C₁₃₉	semidirect
712. C₂×#124	C₂²×C₁₃₉	semidirect
713. C₂×#123	C₂²×C₁₃₉	semidirect
714. C₂×#123	C₂²×C₁₃₉	semidirect
724. C₂×#121	C₂²×C₁₃₉	semidirect
725. C₂×#121	C₂²×C₁₃₉	semidirect
726. C₂×#121	C₂²×C₁₃₉	semidirect
727. C₂×#121	C₂²×C₁₃₉	semidirect
728. C₂×#121	C₂²×C₁₃₉	semidirect
729. C₂×#121	C₂²×C₁₃₉	semidirect
730. C₂×#121	C₂²×C₁₃₉	semidirect
735. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
736. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
737. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
738. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
739. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
745. C₂²×C₄²	C₂²×C₁₃₉	semidirect
746. C₂²×C₄²	C₂²×C₁₃₉	semidirect
747. #398	C₂²×C₁₃₉	semidirect
748. #397	C₂²×C₁₃₉	semidirect
749. #395	C₂²×C₁₃₉	semidirect
750. #394	C₂²×C₁₃₉	semidirect
751. #394	C₂²×C₁₃₉	semidirect
752. #394	C₂²×C₁₃₉	semidirect
753. #394	C₂²×C₁₃₉	semidirect
754. #393	C₂²×C₁₃₉	semidirect
755. #392	C₂²×C₁₃₉	semidirect
756. #392	C₂²×C₁₃₉	semidirect
757. #392	C₂²×C₁₃₉	semidirect
758. #392	C₂²×C₁₃₉	semidirect
759. #390	C₂²×C₁₃₉	semidirect
760. #390	C₂²×C₁₃₉	semidirect
761. #390	C₂²×C₁₃₉	semidirect
762. #390	C₂²×C₁₃₉	semidirect
763. #390	C₂²×C₁₃₉	semidirect
764. #390	C₂²×C₁₃₉	semidirect
765. #390	C₂²×C₁₃₉	semidirect
766. #389	C₂²×C₁₃₉	semidirect
767. #389	C₂²×C₁₃₉	semidirect
768. #389	C₂²×C₁₃₉	semidirect
769. #388	C₂²×C₁₃₉	semidirect
770. #388	C₂²×C₁₃₉	semidirect
771. #388	C₂²×C₁₃₉	semidirect
772. #388	C₂²×C₁₃₉	semidirect
773. #388	C₂²×C₁₃₉	semidirect
776. #386	C₂²×C₁₃₉	semidirect
777. #386	C₂²×C₁₃₉	semidirect
778. #386	C₂²×C₁₃₉	semidirect
779. #386	C₂²×C₁₃₉	semidirect
780. #386	C₂²×C₁₃₉	semidirect
781. #386	C₂²×C₁₃₉	semidirect
782. #386	C₂²×C₁₃₉	semidirect
783. #386	C₂²×C₁₃₉	semidirect
785. #385	C₂²×C₁₃₉	semidirect
786. #385	C₂²×C₁₃₉	semidirect
787. #384	C₂²×C₁₃₉	semidirect
789. #380	C₂²×C₁₃₉	semidirect
790. #380	C₂²×C₁₃₉	semidirect
792. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
797. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
798. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
799. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
800. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
801. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
802. C₂×#95	C₂²×C₁₃₉	semidirect
803. C₂×#95	C₂²×C₁₃₉	semidirect
869. #121	D₄×C₁₃₉	semidirect
895. C₂×C₂²⋊C₄	D₄×C₁₃₉	semidirect
1064. C₂²×C₄	C₂×D₄×C₁₃₉	semidirect
1065. C₂²×C₄	C₂×D₄×C₁₃₉	semidirect
1066. C₂²×C₄	#41×C₁₃₉	semidirect
1124. C₂²⋊C₄	C₂×D₄×C₁₃₉	semidirect
1125. C₂²⋊C₄	C₂×D₄×C₁₃₉	semidirect
1126. C₂²⋊C₄	#41×C₁₃₉	semidirect
1316. C₂²	#532×C₁₃₉	semidirect
1341. C₄	#546×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×#532×C₁₃₉	2
C₂²×#121×C₁₃₉	2
#2856×C₁₃₉	2
#2854×C₁₃₉	2
#2847×C₁₃₉	2
#2555×C₁₃₉	2
#2543×C₁₃₉	2
#2491×C₁₃₉	2
#2472×C₁₃₉	2
#2464×C₁₃₉	2
#2440×C₁₃₉	2
#2433×C₁₃₉	2
#2430×C₁₃₉	2
#2428×C₁₃₉	2
#2422×C₁₃₉	2
#2410×C₁₃₉	2
#2361×C₁₃₉	2
#2358×C₁₃₉	2
D₄×C₂²⋊C₄×C₁₃₉	2
C₄×#121×C₁₃₉	2
C₂×C₄×C₂²⋊C₄×C₁₃₉	2
#36123	139

Subgroups — C139×#36123 #48030719

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36123 #48030719