Subgroups — C₁₃₉×#36098 #48030694

Order 35584.

4942 conjugacy classes of subgroups.

The subgroup lattice has 1446 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×#120×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂³×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2849×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2847×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2846×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	#2472×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2437×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2424×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2424×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2418×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2412×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2411×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2410×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	#2405×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2404×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#2358×C₁₃₉	C₂	1	2	yes	maximal, complemented
21	#2342×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	D₄×C₂²⋊C₄×C₁₃₉	C₂	1	2	yes	maximal, complemented
23	C₄×#120×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂⁶×C₁₃₉	C₂²	1	1	yes	characteristic
25	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
26	C₂³×D₄×C₁₃₉	C₂²	1	2	yes	—
27	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
28	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
29	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
30	#546×C₁₃₉	—	2	8	no	—
31	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
32	#525×C₁₃₉	—	2	8	no	—
33	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
34	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
35	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
36	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
37	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	complemented
39	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
40	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
42	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
43	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
44	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
45	C₂×#120×C₁₃₉	—	2	8	no	—
46	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
47	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
48	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
49	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
50	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
51	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
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×#120×C₁₃₉	C₂²	1	2	yes	complemented
57	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic, 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	2	yes	complemented
62	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
63	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
64	C₂²×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
65	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
66	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
67	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
68	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
69	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
70	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
71	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
72	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
73	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
74	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
75	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
76	#399×C₁₃₉	C₂²	1	2	yes	complemented
77	#397×C₁₃₉	C₂²	1	2	yes	complemented
78	#396×C₁₃₉	C₂²	1	2	yes	complemented
79	#396×C₁₃₉	C₂²	1	2	yes	complemented
80	#394×C₁₃₉	C₂²	1	2	yes	complemented
81	#394×C₁₃₉	C₂²	1	2	yes	complemented
82	#394×C₁₃₉	C₂²	1	2	yes	complemented
83	#394×C₁₃₉	C₂²	1	2	yes	complemented
84	#394×C₁₃₉	C₂²	1	2	yes	complemented
85	#393×C₁₃₉	C₂²	1	2	yes	complemented
86	#392×C₁₃₉	C₂²	1	2	yes	complemented
87	#392×C₁₃₉	C₂²	1	2	yes	complemented
88	#390×C₁₃₉	C₂²	1	2	yes	complemented
89	#390×C₁₃₉	C₂²	1	2	yes	complemented
90	#390×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	#386×C₁₃₉	C₂²	1	2	yes	complemented
96	#386×C₁₃₉	C₂²	1	2	yes	complemented
97	#386×C₁₃₉	C₂²	1	2	yes	complemented
98	#386×C₁₃₉	C₂²	1	1	yes	characteristic, 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	1	yes	characteristic, complemented
103	#386×C₁₃₉	C₂²	1	1	yes	characteristic, 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	#385×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
108	#385×C₁₃₉	C₂²	1	2	yes	complemented
109	#385×C₁₃₉	C₂²	1	2	yes	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	#381×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
114	#381×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
115	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
116	#380×C₁₃₉	C₂²	1	2	yes	complemented
117	#380×C₁₃₉	C₂²	1	2	yes	complemented
118	#379×C₁₃₉	C₂²	1	2	yes	—
119	#379×C₁₃₉	C₂²	1	1	yes	characteristic
120	#379×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
121	#379×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
122	#379×C₁₃₉	C₂²	1	2	yes	complemented
123	#379×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	—	2	4	no	—
128	C₂⁵×C₁₃₉	—	2	8	no	—
129	C₂⁵×C₁₃₉	—	2	4	no	—
130	C₂⁵×C₁₃₉	—	4	4	no	—
131	C₂⁵×C₁₃₉	—	4	2	no	—
132	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
133	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
134	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
135	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
136	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
137	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
138	C₂×#41×C₁₃₉	—	2	4	no	—
139	C₂×#41×C₁₃₉	—	2	4	no	—
140	C₂×#41×C₁₃₉	—	4	2	no	—
141	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
142	C₂²×D₄×C₁₃₉	—	2	4	no	—
143	C₂²×D₄×C₁₃₉	—	2	8	no	—
144	C₂²×D₄×C₁₃₉	—	2	8	no	—
145	C₂²×D₄×C₁₃₉	—	2	4	no	—
146	C₂²×D₄×C₁₃₉	—	4	4	no	—
147	C₂²×D₄×C₁₃₉	—	4	2	no	—
148	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
149	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
150	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
151	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
152	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
153	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
154	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
155	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
156	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
157	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
158	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
159	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
160	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
161	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
162	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
163	C₂³×C₄×C₁₃₉	—	2	4	no	—
164	C₂³×C₄×C₁₃₉	—	2	4	no	—
165	C₂³×C₄×C₁₃₉	—	2	4	no	—
166	C₂³×C₄×C₁₃₉	—	4	2	no	—
167	C₂³×C₄×C₁₃₉	—	4	4	no	—
168	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
169	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
170	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
171	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
172	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
173	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
174	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
175	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
176	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
177	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
178	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
179	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
180	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
181	#124×C₁₃₉	—	2	4	no	—
182	#123×C₁₃₉	—	2	4	no	—
183	#123×C₁₃₉	—	2	4	no	—
184	#123×C₁₃₉	—	2	4	no	—
185	#123×C₁₃₉	—	2	4	no	—
186	#123×C₁₃₉	—	4	2	no	—
187	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
188	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
189	#121×C₁₃₉	—	2	8	no	—
190	#121×C₁₃₉	—	2	4	no	—
191	#121×C₁₃₉	—	2	4	no	—
192	#121×C₁₃₉	—	2	4	no	—
193	#121×C₁₃₉	—	4	4	no	—
194	#120×C₁₃₉	—	2	4	no	—
195	#120×C₁₃₉	—	2	4	no	—
196	#120×C₁₃₉	—	2	4	no	—
197	#120×C₁₃₉	—	2	8	no	—
198	#120×C₁₃₉	—	2	8	no	—
199	#120×C₁₃₉	—	2	4	no	—
200	#120×C₁₃₉	—	2	4	no	—
201	#120×C₁₃₉	—	2	8	no	—
202	#120×C₁₃₉	—	2	4	no	—
203	#120×C₁₃₉	—	4	4	no	—
204	#120×C₁₃₉	—	4	2	no	—
205	#120×C₁₃₉	D₄	1	8	yes	complemented
206	C₄×D₄×C₁₃₉	—	2	8	no	—
207	C₄×D₄×C₁₃₉	—	2	4	no	—
208	C₄×D₄×C₁₃₉	—	2	8	no	—
209	C₄×D₄×C₁₃₉	—	2	4	no	—
210	C₄×D₄×C₁₃₉	—	4	4	no	—
211	#117×C₁₃₉	—	2	4	no	—
212	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
213	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
214	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
215	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
216	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
217	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
218	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
219	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
220	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
221	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
222	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
223	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
224	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
225	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
226	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
227	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
228	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
229	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
230	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
231	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
232	C₂×C₂²⋊C₄×C₁₃₉	D₄	1	8	yes	complemented
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	1	yes	characteristic
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	2	yes	—
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	1	yes	characteristic
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	2	yes	—
261	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
264	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
265	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
266	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
267	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
268	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
269	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
270	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
271	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
272	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
273	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	complemented
274	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	complemented
275	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic, complemented
276	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	complemented
277	#95×C₁₃₉	C₂³	1	2	yes	complemented
278	#95×C₁₃₉	C₂³	1	2	yes	complemented
279	#95×C₁₃₉	C₂³	1	2	yes	complemented
280	#95×C₁₃₉	C₂³	1	2	yes	complemented
281	#95×C₁₃₉	C₂³	1	2	yes	complemented
282	#95×C₁₃₉	C₂³	1	2	yes	complemented
283	#95×C₁₃₉	C₂³	1	2	yes	complemented
284	#95×C₁₃₉	C₂³	1	2	yes	complemented
285	#95×C₁₃₉	C₂³	1	2	yes	complemented
286	#95×C₁₃₉	C₂³	1	2	yes	complemented
287	C₂⁴×C₁₃₉	—	2	2	no	—
288	C₂⁴×C₁₃₉	—	2	4	no	—
289	C₂⁴×C₁₃₉	—	2	4	no	—
290	C₂⁴×C₁₃₉	—	2	2	no	—
291	C₂⁴×C₁₃₉	—	2	32	no	—
292	C₂⁴×C₁₃₉	—	2	4	no	—
293	C₂⁴×C₁₃₉	—	2	4	no	—
294	C₂⁴×C₁₃₉	—	2	2	no	—
295	C₂⁴×C₁₃₉	—	2	2	no	—
296	C₂⁴×C₁₃₉	—	2	4	no	—
297	C₂⁴×C₁₃₉	—	2	4	no	—
298	C₂⁴×C₁₃₉	—	2	4	no	—
299	C₂⁴×C₁₃₉	—	2	4	no	—
300	C₂⁴×C₁₃₉	—	2	4	no	—
301	C₂⁴×C₁₃₉	—	2	4	no	—
302	C₂⁴×C₁₃₉	—	2	2	no	—
303	C₂⁴×C₁₃₉	—	2	4	no	—
304	C₂⁴×C₁₃₉	—	2	2	no	—
305	C₂⁴×C₁₃₉	—	2	4	no	—
306	C₂⁴×C₁₃₉	—	2	2	no	—
307	C₂⁴×C₁₃₉	—	2	2	no	—
308	C₂⁴×C₁₃₉	—	2	4	no	—
309	C₂⁴×C₁₃₉	—	2	2	no	—
310	C₂⁴×C₁₃₉	—	2	4	no	—
311	C₂⁴×C₁₃₉	—	4	2	no	—
312	C₂⁴×C₁₃₉	—	4	2	no	—
313	C₂⁴×C₁₃₉	—	4	2	no	—
314	C₂⁴×C₁₃₉	—	4	2	no	—
315	C₂⁴×C₁₃₉	—	4	2	no	—
316	C₂⁴×C₁₃₉	—	4	2	no	—
317	C₂⁴×C₁₃₉	—	4	2	no	—
318	C₂⁴×C₁₃₉	—	4	1	no	—
319	C₂⁴×C₁₃₉	—	4	16	no	—
320	C₂⁴×C₁₃₉	—	4	32	no	—
321	C₂⁴×C₁₃₉	—	4	16	no	—
322	C₂⁴×C₁₃₉	—	4	32	no	—
323	C₂⁴×C₁₃₉	C₂×D₄	1	4	yes	—
324	C₂⁴×C₁₃₉	C₂×D₄	1	4	yes	—
325	C₂⁴×C₁₃₉	#41	1	8	yes	complemented
326	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
327	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
328	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
329	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
330	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
331	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
332	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
333	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
334	#41×C₁₃₉	—	4	16	no	—
335	C₂×Q₈×C₁₃₉	—	2	2	no	—
336	C₂×Q₈×C₁₃₉	—	2	2	no	—
337	C₂×Q₈×C₁₃₉	—	4	1	no	—
338	C₂×D₄×C₁₃₉	—	2	2	no	—
339	C₂×D₄×C₁₃₉	—	2	4	no	—
340	C₂×D₄×C₁₃₉	—	2	4	no	—
341	C₂×D₄×C₁₃₉	—	2	2	no	—
342	C₂×D₄×C₁₃₉	—	2	2	no	—
343	C₂×D₄×C₁₃₉	—	2	4	no	—
344	C₂×D₄×C₁₃₉	—	2	2	no	—
345	C₂×D₄×C₁₃₉	—	2	4	no	—
346	C₂×D₄×C₁₃₉	—	2	2	no	—
347	C₂×D₄×C₁₃₉	—	2	4	no	—
348	C₂×D₄×C₁₃₉	—	2	2	no	—
349	C₂×D₄×C₁₃₉	—	2	2	no	—
350	C₂×D₄×C₁₃₉	—	2	2	no	—
351	C₂×D₄×C₁₃₉	—	2	2	no	—
352	C₂×D₄×C₁₃₉	—	2	2	no	—
353	C₂×D₄×C₁₃₉	—	2	2	no	—
354	C₂×D₄×C₁₃₉	—	2	4	no	—
355	C₂×D₄×C₁₃₉	—	2	4	no	—
356	C₂×D₄×C₁₃₉	—	2	4	no	—
357	C₂×D₄×C₁₃₉	—	2	4	no	—
358	C₂×D₄×C₁₃₉	—	2	4	no	—
359	C₂×D₄×C₁₃₉	—	2	4	no	—
360	C₂×D₄×C₁₃₉	—	2	2	no	—
361	C₂×D₄×C₁₃₉	—	2	4	no	—
362	C₂×D₄×C₁₃₉	—	2	2	no	—
363	C₂×D₄×C₁₃₉	—	2	2	no	—
364	C₂×D₄×C₁₃₉	—	2	4	no	—
365	C₂×D₄×C₁₃₉	—	2	4	no	—
366	C₂×D₄×C₁₃₉	—	2	2	no	—
367	C₂×D₄×C₁₃₉	—	2	2	no	—
368	C₂×D₄×C₁₃₉	—	2	2	no	—
369	C₂×D₄×C₁₃₉	—	4	2	no	—
370	C₂×D₄×C₁₃₉	—	4	1	no	—
371	C₂×D₄×C₁₃₉	—	4	2	no	—
372	C₂×D₄×C₁₃₉	—	4	1	no	—
373	C₂×D₄×C₁₃₉	—	4	1	no	—
374	C₂×D₄×C₁₃₉	—	4	2	no	—
375	C₂×D₄×C₁₃₉	—	4	2	no	—
376	C₂×D₄×C₁₃₉	—	4	2	no	—
377	C₂×D₄×C₁₃₉	—	4	2	no	—
378	C₂×D₄×C₁₃₉	—	4	16	no	—
379	C₂×D₄×C₁₃₉	—	4	32	no	—
380	C₂×D₄×C₁₃₉	C₂×D₄	1	8	yes	—
381	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
382	C₂²×C₄×C₁₃₉	—	2	2	no	—
383	C₂²×C₄×C₁₃₉	—	2	2	no	—
384	C₂²×C₄×C₁₃₉	—	2	2	no	—
385	C₂²×C₄×C₁₃₉	—	2	2	no	—
386	C₂²×C₄×C₁₃₉	—	2	4	no	—
387	C₂²×C₄×C₁₃₉	—	2	2	no	—
388	C₂²×C₄×C₁₃₉	—	2	2	no	—
389	C₂²×C₄×C₁₃₉	—	2	4	no	—
390	C₂²×C₄×C₁₃₉	—	2	2	no	—
391	C₂²×C₄×C₁₃₉	—	2	4	no	—
392	C₂²×C₄×C₁₃₉	—	2	4	no	—
393	C₂²×C₄×C₁₃₉	—	2	4	no	—
394	C₂²×C₄×C₁₃₉	—	2	2	no	—
395	C₂²×C₄×C₁₃₉	—	2	4	no	—
396	C₂²×C₄×C₁₃₉	—	2	4	no	—
397	C₂²×C₄×C₁₃₉	—	2	4	no	—
398	C₂²×C₄×C₁₃₉	—	2	4	no	—
399	C₂²×C₄×C₁₃₉	—	2	4	no	—
400	C₂²×C₄×C₁₃₉	—	2	2	no	—
401	C₂²×C₄×C₁₃₉	—	2	2	no	—
402	C₂²×C₄×C₁₃₉	—	2	2	no	—
403	C₂²×C₄×C₁₃₉	—	2	2	no	—
404	C₂²×C₄×C₁₃₉	—	2	2	no	—
405	C₂²×C₄×C₁₃₉	—	4	2	no	—
406	C₂²×C₄×C₁₃₉	—	4	2	no	—
407	C₂²×C₄×C₁₃₉	—	4	2	no	—
408	C₂²×C₄×C₁₃₉	—	4	2	no	—
409	C₂²×C₄×C₁₃₉	—	4	2	no	—
410	C₂²×C₄×C₁₃₉	—	4	2	no	—
411	C₂²×C₄×C₁₃₉	—	4	2	no	—
412	C₂²×C₄×C₁₃₉	—	4	1	no	—
413	C₂²×C₄×C₁₃₉	—	4	1	no	—
414	C₂²×C₄×C₁₃₉	—	4	1	no	—
415	C₂²×C₄×C₁₃₉	—	4	2	no	—
416	C₂²×C₄×C₁₃₉	—	4	16	no	—
417	C₂²×C₄×C₁₃₉	—	4	16	no	—
418	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
419	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
420	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
421	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
423	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
424	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
425	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
428	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
431	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
435	C₄⋊C₄×C₁₃₉	—	2	4	no	—
436	C₄⋊C₄×C₁₃₉	—	2	2	no	—
437	C₄⋊C₄×C₁₃₉	—	2	4	no	—
438	C₄⋊C₄×C₁₃₉	—	2	4	no	—
439	C₄⋊C₄×C₁₃₉	—	2	2	no	—
440	C₄⋊C₄×C₁₃₉	—	2	2	no	—
441	C₄⋊C₄×C₁₃₉	—	2	2	no	—
442	C₄⋊C₄×C₁₃₉	—	4	2	no	—
443	C₄⋊C₄×C₁₃₉	—	4	2	no	—
444	C₄⋊C₄×C₁₃₉	—	4	2	no	—
445	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
446	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
447	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
448	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
449	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
450	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
451	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
452	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
453	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
454	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
455	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
456	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
457	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
458	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
459	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
460	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
461	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
462	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
463	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
464	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
465	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
466	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
467	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
468	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
469	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
470	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
471	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
472	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
473	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
474	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
475	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
476	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
477	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
478	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
479	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
480	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
481	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
482	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
483	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	—
484	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
485	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
486	C₄²×C₁₃₉	—	2	4	no	—
487	C₄²×C₁₃₉	—	2	2	no	—
488	C₄²×C₁₃₉	—	4	2	no	—
489	C₂³×C₁₃₉	—	2	8	no	—
490	C₂³×C₁₃₉	—	2	8	no	—
491	C₂³×C₁₃₉	—	2	16	no	—
492	C₂³×C₁₃₉	—	2	8	no	—
493	C₂³×C₁₃₉	—	2	16	no	—
494	C₂³×C₁₃₉	—	2	2	no	—
495	C₂³×C₁₃₉	—	2	1	no	—
496	C₂³×C₁₃₉	—	2	2	no	—
497	C₂³×C₁₃₉	—	2	2	no	—
498	C₂³×C₁₃₉	—	2	2	no	—
499	C₂³×C₁₃₉	—	2	2	no	—
500	C₂³×C₁₃₉	—	2	2	no	—
501	C₂³×C₁₃₉	—	2	1	no	—
502	C₂³×C₁₃₉	—	2	2	no	—
503	C₂³×C₁₃₉	—	2	8	no	—
504	C₂³×C₁₃₉	—	2	16	no	—
505	C₂³×C₁₃₉	—	2	8	no	—
506	C₂³×C₁₃₉	—	2	16	no	—
507	C₂³×C₁₃₉	—	2	8	no	—
508	C₂³×C₁₃₉	—	2	16	no	—
509	C₂³×C₁₃₉	—	2	2	no	—
510	C₂³×C₁₃₉	—	2	1	no	—
511	C₂³×C₁₃₉	—	2	2	no	—
512	C₂³×C₁₃₉	—	2	1	no	—
513	C₂³×C₁₃₉	—	2	2	no	—
514	C₂³×C₁₃₉	—	2	2	no	—
515	C₂³×C₁₃₉	—	2	2	no	—
516	C₂³×C₁₃₉	—	2	2	no	—
517	C₂³×C₁₃₉	—	2	2	no	—
518	C₂³×C₁₃₉	—	2	2	no	—
519	C₂³×C₁₃₉	—	2	2	no	—
520	C₂³×C₁₃₉	—	2	1	no	—
521	C₂³×C₁₃₉	—	2	1	no	—
522	C₂³×C₁₃₉	—	2	2	no	—
523	C₂³×C₁₃₉	—	2	1	no	—
524	C₂³×C₁₃₉	—	2	1	no	—
525	C₂³×C₁₃₉	—	2	1	no	—
526	C₂³×C₁₃₉	—	2	1	no	—
527	C₂³×C₁₃₉	—	2	2	no	—
528	C₂³×C₁₃₉	—	2	2	no	—
529	C₂³×C₁₃₉	—	2	1	no	—
530	C₂³×C₁₃₉	—	2	2	no	—
531	C₂³×C₁₃₉	—	2	2	no	—
532	C₂³×C₁₃₉	—	2	1	no	—
533	C₂³×C₁₃₉	—	4	4	no	—
534	C₂³×C₁₃₉	—	4	8	no	—
535	C₂³×C₁₃₉	—	4	8	no	—
536	C₂³×C₁₃₉	—	4	8	no	—
537	C₂³×C₁₃₉	—	4	8	no	—
538	C₂³×C₁₃₉	—	4	8	no	—
539	C₂³×C₁₃₉	—	4	8	no	—
540	C₂³×C₁₃₉	—	4	8	no	—
541	C₂³×C₁₃₉	—	4	8	no	—
542	C₂³×C₁₃₉	—	4	8	no	—
543	C₂³×C₁₃₉	—	4	8	no	—
544	C₂³×C₁₃₉	—	4	8	no	—
545	C₂³×C₁₃₉	—	4	8	no	—
546	C₂³×C₁₃₉	—	4	8	no	—
547	C₂³×C₁₃₉	—	4	4	no	—
548	C₂³×C₁₃₉	—	4	8	no	—
549	C₂³×C₁₃₉	—	4	128	no	—
550	C₂³×C₁₃₉	—	4	4	no	—
551	C₂³×C₁₃₉	—	4	8	no	—
552	C₂³×C₁₃₉	—	4	4	no	—
553	C₂³×C₁₃₉	—	4	8	no	—
554	C₂³×C₁₃₉	—	4	4	no	—
555	C₂³×C₁₃₉	—	8	2	no	—
556	C₂³×C₁₃₉	—	8	4	no	—
557	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
558	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
559	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
560	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
561	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
562	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
563	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
564	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
565	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
566	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
567	C₂³×C₁₃₉	H(5,𝔽₂)	1	4	yes	—
568	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
569	Q₈×C₁₃₉	—	4	4	no	—
570	D₄×C₁₃₉	—	2	8	no	—
571	D₄×C₁₃₉	—	2	16	no	—
572	D₄×C₁₃₉	—	4	4	no	—
573	D₄×C₁₃₉	—	4	8	no	—
574	D₄×C₁₃₉	—	4	4	no	—
575	D₄×C₁₃₉	—	4	4	no	—
576	D₄×C₁₃₉	—	4	8	no	—
577	D₄×C₁₃₉	—	4	4	no	—
578	D₄×C₁₃₉	—	4	4	no	—
579	D₄×C₁₃₉	—	4	4	no	—
580	D₄×C₁₃₉	—	4	8	no	—
581	D₄×C₁₃₉	—	4	8	no	—
582	D₄×C₁₃₉	—	8	2	no	—
583	D₄×C₁₃₉	—	8	2	no	—
584	D₄×C₁₃₉	—	8	4	no	—
585	C₂×C₄×C₁₃₉	—	2	8	no	—
586	C₂×C₄×C₁₃₉	—	2	1	no	—
587	C₂×C₄×C₁₃₉	—	2	1	no	—
588	C₂×C₄×C₁₃₉	—	2	1	no	—
589	C₂×C₄×C₁₃₉	—	2	2	no	—
590	C₂×C₄×C₁₃₉	—	2	2	no	—
591	C₂×C₄×C₁₃₉	—	2	2	no	—
592	C₂×C₄×C₁₃₉	—	2	2	no	—
593	C₂×C₄×C₁₃₉	—	2	1	no	—
594	C₂×C₄×C₁₃₉	—	2	1	no	—
595	C₂×C₄×C₁₃₉	—	2	1	no	—
596	C₂×C₄×C₁₃₉	—	2	1	no	—
597	C₂×C₄×C₁₃₉	—	2	2	no	—
598	C₂×C₄×C₁₃₉	—	2	2	no	—
599	C₂×C₄×C₁₃₉	—	2	2	no	—
600	C₂×C₄×C₁₃₉	—	2	1	no	—
601	C₂×C₄×C₁₃₉	—	2	2	no	—
602	C₂×C₄×C₁₃₉	—	2	1	no	—
603	C₂×C₄×C₁₃₉	—	2	1	no	—
604	C₂×C₄×C₁₃₉	—	2	2	no	—
605	C₂×C₄×C₁₃₉	—	2	1	no	—
606	C₂×C₄×C₁₃₉	—	2	1	no	—
607	C₂×C₄×C₁₃₉	—	2	2	no	—
608	C₂×C₄×C₁₃₉	—	2	2	no	—
609	C₂×C₄×C₁₃₉	—	2	2	no	—
610	C₂×C₄×C₁₃₉	—	2	2	no	—
611	C₂×C₄×C₁₃₉	—	2	2	no	—
612	C₂×C₄×C₁₃₉	—	2	2	no	—
613	C₂×C₄×C₁₃₉	—	2	2	no	—
614	C₂×C₄×C₁₃₉	—	2	2	no	—
615	C₂×C₄×C₁₃₉	—	2	2	no	—
616	C₂×C₄×C₁₃₉	—	2	1	no	—
617	C₂×C₄×C₁₃₉	—	2	2	no	—
618	C₂×C₄×C₁₃₉	—	2	2	no	—
619	C₂×C₄×C₁₃₉	—	2	2	no	—
620	C₂×C₄×C₁₃₉	—	2	1	no	—
621	C₂×C₄×C₁₃₉	—	4	4	no	—
622	C₂×C₄×C₁₃₉	—	4	4	no	—
623	C₂×C₄×C₁₃₉	—	4	8	no	—
624	C₂×C₄×C₁₃₉	—	4	8	no	—
625	C₂×C₄×C₁₃₉	—	4	8	no	—
626	C₂×C₄×C₁₃₉	—	4	8	no	—
627	C₂×C₄×C₁₃₉	—	4	4	no	—
628	C₂×C₄×C₁₃₉	—	4	8	no	—
629	C₂×C₄×C₁₃₉	—	4	4	no	—
630	C₂×C₄×C₁₃₉	—	4	4	no	—
631	C₂×C₄×C₁₃₉	—	4	4	no	—
632	C₂×C₄×C₁₃₉	—	8	2	no	—
633	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
634	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
635	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
636	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
637	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
638	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
639	C₂²×C₁₃₉	—	2	32	no	—
640	C₂²×C₁₃₉	—	2	2	no	—
641	C₂²×C₁₃₉	—	2	4	no	—
642	C₂²×C₁₃₉	—	2	4	no	—
643	C₂²×C₁₃₉	—	2	2	no	—
644	C₂²×C₁₃₉	—	2	4	no	—
645	C₂²×C₁₃₉	—	2	4	no	—
646	C₂²×C₁₃₉	—	2	4	no	—
647	C₂²×C₁₃₉	—	2	2	no	—
648	C₂²×C₁₃₉	—	2	4	no	—
649	C₂²×C₁₃₉	—	2	2	no	—
650	C₂²×C₁₃₉	—	2	4	no	—
651	C₂²×C₁₃₉	—	2	4	no	—
652	C₂²×C₁₃₉	—	2	4	no	—
653	C₂²×C₁₃₉	—	2	4	no	—
654	C₂²×C₁₃₉	—	2	2	no	—
655	C₂²×C₁₃₉	—	2	4	no	—
656	C₂²×C₁₃₉	—	2	2	no	—
657	C₂²×C₁₃₉	—	2	2	no	—
658	C₂²×C₁₃₉	—	2	4	no	—
659	C₂²×C₁₃₉	—	2	4	no	—
660	C₂²×C₁₃₉	—	2	2	no	—
661	C₂²×C₁₃₉	—	2	4	no	—
662	C₂²×C₁₃₉	—	4	16	no	—
663	C₂²×C₁₃₉	—	4	32	no	—
664	C₂²×C₁₃₉	—	4	16	no	—
665	C₂²×C₁₃₉	—	4	32	no	—
666	C₂²×C₁₃₉	—	4	1	no	—
667	C₂²×C₁₃₉	—	4	2	no	—
668	C₂²×C₁₃₉	—	4	2	no	—
669	C₂²×C₁₃₉	—	4	2	no	—
670	C₂²×C₁₃₉	—	4	1	no	—
671	C₂²×C₁₃₉	—	4	2	no	—
672	C₂²×C₁₃₉	—	4	2	no	—
673	C₂²×C₁₃₉	—	4	2	no	—
674	C₂²×C₁₃₉	—	4	2	no	—
675	C₂²×C₁₃₉	—	4	1	no	—
676	C₂²×C₁₃₉	—	4	1	no	—
677	C₂²×C₁₃₉	—	4	1	no	—
678	C₂²×C₁₃₉	—	4	1	no	—
679	C₂²×C₁₃₉	—	4	2	no	—
680	C₂²×C₁₃₉	—	4	2	no	—
681	C₂²×C₁₃₉	—	4	1	no	—
682	C₂²×C₁₃₉	—	4	1	no	—
683	C₂²×C₁₃₉	—	4	2	no	—
684	C₂²×C₁₃₉	—	4	2	no	—
685	C₂²×C₁₃₉	—	8	8	no	—
686	C₂²×C₁₃₉	#525	1	4	yes	complemented
687	C₂²×C₁₃₉	D₄²	1	4	yes	—
688	C₂²×C₁₃₉	#546	1	8	yes	complemented
689	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
690	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
691	C₂²×C₁₃₉	C₂²×#41	1	2	yes	—
692	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
693	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	2	yes	—
694	C₄×C₁₃₉	—	2	2	no	—
695	C₄×C₁₃₉	—	2	2	no	—
696	C₄×C₁₃₉	—	2	2	no	—
697	C₄×C₁₃₉	—	2	4	no	—
698	C₄×C₁₃₉	—	2	2	no	—
699	C₄×C₁₃₉	—	2	2	no	—
700	C₄×C₁₃₉	—	4	1	no	—
701	C₄×C₁₃₉	—	4	2	no	—
702	C₄×C₁₃₉	—	4	1	no	—
703	C₄×C₁₃₉	—	4	1	no	—
704	C₄×C₁₃₉	—	4	2	no	—
705	C₄×C₁₃₉	—	4	2	no	—
706	C₄×C₁₃₉	—	4	2	no	—
707	C₄×C₁₃₉	—	4	1	no	—
708	C₄×C₁₃₉	—	4	2	no	—
709	C₂×C₁₃₉	—	2	4	no	—
710	C₂×C₁₃₉	—	2	8	no	—
711	C₂×C₁₃₉	—	2	4	no	—
712	C₂×C₁₃₉	—	4	2	no	—
713	C₂×C₁₃₉	—	4	4	no	—
714	C₂×C₁₃₉	—	4	2	no	—
715	C₂×C₁₃₉	—	8	1	no	—
716	C₂×C₁₃₉	—	8	1	no	—
717	C₂×C₁₃₉	C₂×#525	1	1	yes	characteristic
718	C₂×C₁₃₉	C₂×D₄²	1	1	yes	characteristic
719	C₂×C₁₃₉	C₂×#546	1	2	yes	—
720	C₂×C₁₃₉	#3484	1	1	yes	characteristic
721	C₂×C₁₃₉	#3490	1	2	yes	—
722	#36098	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
723	C₁₃₉	#36098	1	1	yes	characteristic, direct product factor, Sylow
724	C₂×#546	C₂×C₁₃₉	1	1	yes	characteristic, complemented
725	C₂×#525	C₂×C₁₃₉	1	1	yes	characteristic, complemented
726	C₂²×#120	C₂×C₁₃₉	1	1	yes	characteristic, complemented
727	C₂³×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
728	#2849	C₂×C₁₃₉	1	1	yes	characteristic, complemented
729	#2847	C₂×C₁₃₉	1	1	yes	characteristic, complemented
730	#2846	C₂×C₁₃₉	1	1	yes	characteristic, complemented
731	#2539	C₂×C₁₃₉	1	1	yes	characteristic, complemented
732	#2534	C₂×C₁₃₉	1	1	yes	characteristic, complemented
733	#2472	C₂×C₁₃₉	1	2	yes	complemented
734	#2437	C₂×C₁₃₉	1	2	yes	complemented
735	#2424	C₂×C₁₃₉	1	2	yes	complemented
736	#2424	C₂×C₁₃₉	1	2	yes	complemented
737	#2418	C₂×C₁₃₉	1	2	yes	complemented
738	#2412	C₂×C₁₃₉	1	1	yes	characteristic, complemented
739	#2411	C₂×C₁₃₉	1	1	yes	characteristic, complemented
740	#2410	C₂×C₁₃₉	1	2	yes	complemented
741	#2405	C₂×C₁₃₉	1	1	yes	characteristic, complemented
742	#2404	C₂×C₁₃₉	1	1	yes	characteristic, complemented
743	#2358	C₂×C₁₃₉	1	2	yes	complemented
744	#2342	C₂×C₁₃₉	1	1	yes	characteristic, complemented
745	D₄×C₂²⋊C₄	C₂×C₁₃₉	1	2	yes	complemented
746	C₄×#120	C₂×C₁₃₉	1	1	yes	characteristic, complemented
747	C₂⁶	C₂²×C₁₃₉	1	1	yes	characteristic
748	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
749	C₂³×D₄	C₂²×C₁₃₉	1	2	yes	—
750	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
751	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
752	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
753	#546	—	2	8	no	—
754	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
755	#525	—	2	8	no	—
756	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
757	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
758	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
759	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
760	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
761	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	complemented
762	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
763	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
764	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
765	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
766	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
767	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
768	C₂×#120	—	2	8	no	—
769	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
770	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
771	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
772	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
773	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
774	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
775	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
776	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
777	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
778	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
779	C₂×#120	C₂²×C₁₃₉	1	2	yes	complemented
780	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
781	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
782	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
783	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
784	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
785	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
786	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
787	C₂²×C₂²⋊C₄	—	2	8	no	—
788	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
789	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
790	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
791	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
792	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
793	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
794	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
795	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
796	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
797	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
798	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
799	#399	C₂²×C₁₃₉	1	2	yes	complemented
800	#397	C₂²×C₁₃₉	1	2	yes	complemented
801	#396	C₂²×C₁₃₉	1	2	yes	complemented
802	#396	C₂²×C₁₃₉	1	2	yes	complemented
803	#394	C₂²×C₁₃₉	1	2	yes	complemented
804	#394	C₂²×C₁₃₉	1	2	yes	complemented
805	#394	C₂²×C₁₃₉	1	2	yes	complemented
806	#394	C₂²×C₁₃₉	1	2	yes	complemented
807	#394	C₂²×C₁₃₉	1	2	yes	complemented
808	#393	C₂²×C₁₃₉	1	2	yes	complemented
809	#392	C₂²×C₁₃₉	1	2	yes	complemented
810	#392	C₂²×C₁₃₉	1	2	yes	complemented
811	#390	C₂²×C₁₃₉	1	2	yes	complemented
812	#390	C₂²×C₁₃₉	1	2	yes	complemented
813	#390	C₂²×C₁₃₉	1	2	yes	complemented
814	#388	C₂²×C₁₃₉	1	2	yes	complemented
815	#388	C₂²×C₁₃₉	1	2	yes	complemented
816	#388	C₂²×C₁₃₉	1	2	yes	complemented
817	#388	C₂²×C₁₃₉	1	2	yes	complemented
818	#386	C₂²×C₁₃₉	1	2	yes	complemented
819	#386	C₂²×C₁₃₉	1	2	yes	complemented
820	#386	C₂²×C₁₃₉	1	2	yes	complemented
821	#386	C₂²×C₁₃₉	1	2	yes	complemented
822	#386	C₂²×C₁₃₉	1	2	yes	complemented
823	#386	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
824	#386	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
825	#386	C₂²×C₁₃₉	1	2	yes	complemented
826	#386	C₂²×C₁₃₉	1	2	yes	complemented
827	#386	C₂²×C₁₃₉	1	2	yes	complemented
828	#386	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
829	#386	C₂²×C₁₃₉	1	2	yes	complemented
830	#385	C₂²×C₁₃₉	1	2	yes	complemented
831	#385	C₂²×C₁₃₉	1	2	yes	complemented
832	#385	C₂²×C₁₃₉	1	2	yes	complemented
833	#385	C₂²×C₁₃₉	1	2	yes	complemented
834	#385	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
835	#385	C₂²×C₁₃₉	1	2	yes	complemented
836	#381	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
837	#381	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
838	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
839	#380	C₂²×C₁₃₉	1	2	yes	complemented
840	#380	C₂²×C₁₃₉	1	2	yes	complemented
841	#379	C₂²×C₁₃₉	1	2	yes	—
842	#379	C₂²×C₁₃₉	1	1	yes	characteristic
843	#379	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
844	#379	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
845	#379	C₂²×C₁₃₉	1	2	yes	complemented
846	#379	C₂²×C₁₃₉	1	2	yes	complemented
847	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
848	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
849	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
850	C₂⁵	—	2	4	no	—
851	C₂⁵	—	2	8	no	—
852	C₂⁵	—	2	4	no	—
853	C₂⁵	—	4	4	no	—
854	C₂⁵	—	4	2	no	—
855	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
856	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
857	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
858	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
859	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
860	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
861	C₂×#41	—	2	4	no	—
862	C₂×#41	—	2	4	no	—
863	C₂×#41	—	4	2	no	—
864	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
865	C₂²×D₄	—	2	4	no	—
866	C₂²×D₄	—	2	8	no	—
867	C₂²×D₄	—	2	8	no	—
868	C₂²×D₄	—	2	4	no	—
869	C₂²×D₄	—	4	4	no	—
870	C₂²×D₄	—	4	2	no	—
871	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
872	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
873	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
874	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
875	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
876	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
877	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
878	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
879	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
880	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
881	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
882	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
883	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
884	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
885	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
886	C₂³×C₄	—	2	4	no	—
887	C₂³×C₄	—	2	4	no	—
888	C₂³×C₄	—	2	4	no	—
889	C₂³×C₄	—	4	2	no	—
890	C₂³×C₄	—	4	4	no	—
891	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
892	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
893	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
894	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
895	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
896	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
897	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
898	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
899	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
900	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
901	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
902	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
903	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
904	#124	—	2	4	no	—
905	#123	—	2	4	no	—
906	#123	—	2	4	no	—
907	#123	—	2	4	no	—
908	#123	—	2	4	no	—
909	#123	—	4	2	no	—
910	C₂²⋊Q₈	—	2	8	no	—
911	C₂²⋊Q₈	—	2	4	no	—
912	#121	—	2	8	no	—
913	#121	—	2	4	no	—
914	#121	—	2	4	no	—
915	#121	—	2	4	no	—
916	#121	—	4	4	no	—
917	#120	—	2	4	no	—
918	#120	—	2	4	no	—
919	#120	—	2	4	no	—
920	#120	—	2	8	no	—
921	#120	—	2	8	no	—
922	#120	—	2	4	no	—
923	#120	—	2	4	no	—
924	#120	—	2	8	no	—
925	#120	—	2	4	no	—
926	#120	—	4	4	no	—
927	#120	—	4	2	no	—
928	#120	D₄×C₁₃₉	1	8	yes	complemented
929	C₄×D₄	—	2	8	no	—
930	C₄×D₄	—	2	4	no	—
931	C₄×D₄	—	2	8	no	—
932	C₄×D₄	—	2	4	no	—
933	C₄×D₄	—	4	4	no	—
934	#117	—	2	4	no	—
935	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
936	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
937	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
938	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
939	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
940	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
941	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
942	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
943	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
944	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
945	C₂×C₂²⋊C₄	—	2	4	no	—
946	C₂×C₂²⋊C₄	—	2	4	no	—
947	C₂×C₂²⋊C₄	—	2	4	no	—
948	C₂×C₂²⋊C₄	—	2	8	no	—
949	C₂×C₂²⋊C₄	—	2	8	no	—
950	C₂×C₂²⋊C₄	—	2	4	no	—
951	C₂×C₂²⋊C₄	—	2	8	no	—
952	C₂×C₂²⋊C₄	—	2	4	no	—
953	C₂×C₂²⋊C₄	—	2	8	no	—
954	C₂×C₂²⋊C₄	—	2	8	no	—
955	C₂×C₂²⋊C₄	D₄×C₁₃₉	1	8	yes	complemented
956	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
957	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
958	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
959	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
960	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
961	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
962	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
963	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
964	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
965	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
966	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
967	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
968	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
969	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
970	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
971	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
972	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
973	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
974	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
975	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
976	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
977	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
978	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
979	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
980	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
981	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
982	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
983	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
984	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
985	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
986	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
987	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
988	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
989	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
990	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
991	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
992	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
993	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
994	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
995	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
996	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	complemented
997	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	complemented
998	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic, complemented
999	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	complemented
1000	#95	C₂³×C₁₃₉	1	2	yes	complemented
1001	#95	C₂³×C₁₃₉	1	2	yes	complemented
1002	#95	C₂³×C₁₃₉	1	2	yes	complemented
1003	#95	C₂³×C₁₃₉	1	2	yes	complemented
1004	#95	C₂³×C₁₃₉	1	2	yes	complemented
1005	#95	C₂³×C₁₃₉	1	2	yes	complemented
1006	#95	C₂³×C₁₃₉	1	2	yes	complemented
1007	#95	C₂³×C₁₃₉	1	2	yes	complemented
1008	#95	C₂³×C₁₃₉	1	2	yes	complemented
1009	#95	C₂³×C₁₃₉	1	2	yes	complemented
1010	C₂⁴	—	2	2	no	—
1011	C₂⁴	—	2	4	no	—
1012	C₂⁴	—	2	4	no	—
1013	C₂⁴	—	2	2	no	—
1014	C₂⁴	—	2	32	no	—
1015	C₂⁴	—	2	4	no	—
1016	C₂⁴	—	2	4	no	—
1017	C₂⁴	—	2	2	no	—
1018	C₂⁴	—	2	2	no	—
1019	C₂⁴	—	2	4	no	—
1020	C₂⁴	—	2	4	no	—
1021	C₂⁴	—	2	4	no	—
1022	C₂⁴	—	2	4	no	—
1023	C₂⁴	—	2	4	no	—
1024	C₂⁴	—	2	4	no	—
1025	C₂⁴	—	2	2	no	—
1026	C₂⁴	—	2	4	no	—
1027	C₂⁴	—	2	2	no	—
1028	C₂⁴	—	2	4	no	—
1029	C₂⁴	—	2	2	no	—
1030	C₂⁴	—	2	2	no	—
1031	C₂⁴	—	2	4	no	—
1032	C₂⁴	—	2	2	no	—
1033	C₂⁴	—	2	4	no	—
1034	C₂⁴	—	4	2	no	—
1035	C₂⁴	—	4	2	no	—
1036	C₂⁴	—	4	2	no	—
1037	C₂⁴	—	4	2	no	—
1038	C₂⁴	—	4	2	no	—
1039	C₂⁴	—	4	2	no	—
1040	C₂⁴	—	4	2	no	—
1041	C₂⁴	—	4	1	no	—
1042	C₂⁴	—	4	16	no	—
1043	C₂⁴	—	4	32	no	—
1044	C₂⁴	—	4	16	no	—
1045	C₂⁴	—	4	32	no	—
1046	C₂⁴	C₂×D₄×C₁₃₉	1	4	yes	—
1047	C₂⁴	C₂×D₄×C₁₃₉	1	4	yes	—
1048	C₂⁴	#41×C₁₃₉	1	8	yes	complemented
1049	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
1050	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
1051	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
1052	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
1053	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
1054	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
1055	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
1056	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
1057	#41	—	4	16	no	—
1058	C₂×Q₈	—	2	2	no	—
1059	C₂×Q₈	—	2	2	no	—
1060	C₂×Q₈	—	4	1	no	—
1061	C₂×D₄	—	2	2	no	—
1062	C₂×D₄	—	2	4	no	—
1063	C₂×D₄	—	2	4	no	—
1064	C₂×D₄	—	2	2	no	—
1065	C₂×D₄	—	2	2	no	—
1066	C₂×D₄	—	2	4	no	—
1067	C₂×D₄	—	2	2	no	—
1068	C₂×D₄	—	2	4	no	—
1069	C₂×D₄	—	2	2	no	—
1070	C₂×D₄	—	2	4	no	—
1071	C₂×D₄	—	2	2	no	—
1072	C₂×D₄	—	2	2	no	—
1073	C₂×D₄	—	2	2	no	—
1074	C₂×D₄	—	2	2	no	—
1075	C₂×D₄	—	2	2	no	—
1076	C₂×D₄	—	2	2	no	—
1077	C₂×D₄	—	2	4	no	—
1078	C₂×D₄	—	2	4	no	—
1079	C₂×D₄	—	2	4	no	—
1080	C₂×D₄	—	2	4	no	—
1081	C₂×D₄	—	2	4	no	—
1082	C₂×D₄	—	2	4	no	—
1083	C₂×D₄	—	2	2	no	—
1084	C₂×D₄	—	2	4	no	—
1085	C₂×D₄	—	2	2	no	—
1086	C₂×D₄	—	2	2	no	—
1087	C₂×D₄	—	2	4	no	—
1088	C₂×D₄	—	2	4	no	—
1089	C₂×D₄	—	2	2	no	—
1090	C₂×D₄	—	2	2	no	—
1091	C₂×D₄	—	2	2	no	—
1092	C₂×D₄	—	4	2	no	—
1093	C₂×D₄	—	4	1	no	—
1094	C₂×D₄	—	4	2	no	—
1095	C₂×D₄	—	4	1	no	—
1096	C₂×D₄	—	4	1	no	—
1097	C₂×D₄	—	4	2	no	—
1098	C₂×D₄	—	4	2	no	—
1099	C₂×D₄	—	4	2	no	—
1100	C₂×D₄	—	4	2	no	—
1101	C₂×D₄	—	4	16	no	—
1102	C₂×D₄	—	4	32	no	—
1103	C₂×D₄	C₂×D₄×C₁₃₉	1	8	yes	—
1104	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
1105	C₂²×C₄	—	2	2	no	—
1106	C₂²×C₄	—	2	2	no	—
1107	C₂²×C₄	—	2	2	no	—
1108	C₂²×C₄	—	2	2	no	—
1109	C₂²×C₄	—	2	4	no	—
1110	C₂²×C₄	—	2	2	no	—
1111	C₂²×C₄	—	2	2	no	—
1112	C₂²×C₄	—	2	4	no	—
1113	C₂²×C₄	—	2	2	no	—
1114	C₂²×C₄	—	2	4	no	—
1115	C₂²×C₄	—	2	4	no	—
1116	C₂²×C₄	—	2	4	no	—
1117	C₂²×C₄	—	2	2	no	—
1118	C₂²×C₄	—	2	4	no	—
1119	C₂²×C₄	—	2	4	no	—
1120	C₂²×C₄	—	2	4	no	—
1121	C₂²×C₄	—	2	4	no	—
1122	C₂²×C₄	—	2	4	no	—
1123	C₂²×C₄	—	2	2	no	—
1124	C₂²×C₄	—	2	2	no	—
1125	C₂²×C₄	—	2	2	no	—
1126	C₂²×C₄	—	2	2	no	—
1127	C₂²×C₄	—	2	2	no	—
1128	C₂²×C₄	—	4	2	no	—
1129	C₂²×C₄	—	4	2	no	—
1130	C₂²×C₄	—	4	2	no	—
1131	C₂²×C₄	—	4	2	no	—
1132	C₂²×C₄	—	4	2	no	—
1133	C₂²×C₄	—	4	2	no	—
1134	C₂²×C₄	—	4	2	no	—
1135	C₂²×C₄	—	4	1	no	—
1136	C₂²×C₄	—	4	1	no	—
1137	C₂²×C₄	—	4	1	no	—
1138	C₂²×C₄	—	4	2	no	—
1139	C₂²×C₄	—	4	16	no	—
1140	C₂²×C₄	—	4	16	no	—
1141	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
1142	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
1143	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1144	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1145	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1146	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1147	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1148	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1149	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1150	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1151	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1152	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1153	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1154	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1155	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1156	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1157	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1158	C₄⋊C₄	—	2	4	no	—
1159	C₄⋊C₄	—	2	2	no	—
1160	C₄⋊C₄	—	2	4	no	—
1161	C₄⋊C₄	—	2	4	no	—
1162	C₄⋊C₄	—	2	2	no	—
1163	C₄⋊C₄	—	2	2	no	—
1164	C₄⋊C₄	—	2	2	no	—
1165	C₄⋊C₄	—	4	2	no	—
1166	C₄⋊C₄	—	4	2	no	—
1167	C₄⋊C₄	—	4	2	no	—
1168	C₂²⋊C₄	—	2	4	no	—
1169	C₂²⋊C₄	—	2	4	no	—
1170	C₂²⋊C₄	—	2	2	no	—
1171	C₂²⋊C₄	—	2	4	no	—
1172	C₂²⋊C₄	—	2	2	no	—
1173	C₂²⋊C₄	—	2	2	no	—
1174	C₂²⋊C₄	—	2	4	no	—
1175	C₂²⋊C₄	—	2	2	no	—
1176	C₂²⋊C₄	—	2	2	no	—
1177	C₂²⋊C₄	—	2	4	no	—
1178	C₂²⋊C₄	—	2	4	no	—
1179	C₂²⋊C₄	—	2	4	no	—
1180	C₂²⋊C₄	—	2	4	no	—
1181	C₂²⋊C₄	—	2	4	no	—
1182	C₂²⋊C₄	—	2	2	no	—
1183	C₂²⋊C₄	—	2	4	no	—
1184	C₂²⋊C₄	—	2	4	no	—
1185	C₂²⋊C₄	—	2	4	no	—
1186	C₂²⋊C₄	—	2	4	no	—
1187	C₂²⋊C₄	—	2	4	no	—
1188	C₂²⋊C₄	—	2	4	no	—
1189	C₂²⋊C₄	—	2	4	no	—
1190	C₂²⋊C₄	—	2	2	no	—
1191	C₂²⋊C₄	—	2	2	no	—
1192	C₂²⋊C₄	—	2	2	no	—
1193	C₂²⋊C₄	—	2	2	no	—
1194	C₂²⋊C₄	—	2	4	no	—
1195	C₂²⋊C₄	—	2	2	no	—
1196	C₂²⋊C₄	—	4	2	no	—
1197	C₂²⋊C₄	—	4	2	no	—
1198	C₂²⋊C₄	—	4	2	no	—
1199	C₂²⋊C₄	—	4	2	no	—
1200	C₂²⋊C₄	—	4	2	no	—
1201	C₂²⋊C₄	—	4	2	no	—
1202	C₂²⋊C₄	—	4	2	no	—
1203	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1204	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1205	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1206	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	—
1207	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
1208	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
1209	C₄²	—	2	4	no	—
1210	C₄²	—	2	2	no	—
1211	C₄²	—	4	2	no	—
1212	C₂³	—	2	8	no	—
1213	C₂³	—	2	8	no	—
1214	C₂³	—	2	16	no	—
1215	C₂³	—	2	8	no	—
1216	C₂³	—	2	16	no	—
1217	C₂³	—	2	2	no	—
1218	C₂³	—	2	1	no	—
1219	C₂³	—	2	2	no	—
1220	C₂³	—	2	2	no	—
1221	C₂³	—	2	2	no	—
1222	C₂³	—	2	2	no	—
1223	C₂³	—	2	2	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	2	2	no	—
1226	C₂³	—	2	8	no	—
1227	C₂³	—	2	16	no	—
1228	C₂³	—	2	8	no	—
1229	C₂³	—	2	16	no	—
1230	C₂³	—	2	8	no	—
1231	C₂³	—	2	16	no	—
1232	C₂³	—	2	2	no	—
1233	C₂³	—	2	1	no	—
1234	C₂³	—	2	2	no	—
1235	C₂³	—	2	1	no	—
1236	C₂³	—	2	2	no	—
1237	C₂³	—	2	2	no	—
1238	C₂³	—	2	2	no	—
1239	C₂³	—	2	2	no	—
1240	C₂³	—	2	2	no	—
1241	C₂³	—	2	2	no	—
1242	C₂³	—	2	2	no	—
1243	C₂³	—	2	1	no	—
1244	C₂³	—	2	1	no	—
1245	C₂³	—	2	2	no	—
1246	C₂³	—	2	1	no	—
1247	C₂³	—	2	1	no	—
1248	C₂³	—	2	1	no	—
1249	C₂³	—	2	1	no	—
1250	C₂³	—	2	2	no	—
1251	C₂³	—	2	2	no	—
1252	C₂³	—	2	1	no	—
1253	C₂³	—	2	2	no	—
1254	C₂³	—	2	2	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	4	4	no	—
1257	C₂³	—	4	8	no	—
1258	C₂³	—	4	8	no	—
1259	C₂³	—	4	8	no	—
1260	C₂³	—	4	8	no	—
1261	C₂³	—	4	8	no	—
1262	C₂³	—	4	8	no	—
1263	C₂³	—	4	8	no	—
1264	C₂³	—	4	8	no	—
1265	C₂³	—	4	8	no	—
1266	C₂³	—	4	8	no	—
1267	C₂³	—	4	8	no	—
1268	C₂³	—	4	8	no	—
1269	C₂³	—	4	8	no	—
1270	C₂³	—	4	4	no	—
1271	C₂³	—	4	8	no	—
1272	C₂³	—	4	128	no	—
1273	C₂³	—	4	4	no	—
1274	C₂³	—	4	8	no	—
1275	C₂³	—	4	4	no	—
1276	C₂³	—	4	8	no	—
1277	C₂³	—	4	4	no	—
1278	C₂³	—	8	2	no	—
1279	C₂³	—	8	4	no	—
1280	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1281	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1282	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1283	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1284	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1285	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
1286	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
1287	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
1288	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
1289	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1290	C₂³	H(5,𝔽₂)×C₁₃₉	1	4	yes	—
1291	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1292	Q₈	—	4	4	no	—
1293	D₄	—	2	8	no	—
1294	D₄	—	2	16	no	—
1295	D₄	—	4	4	no	—
1296	D₄	—	4	8	no	—
1297	D₄	—	4	4	no	—
1298	D₄	—	4	4	no	—
1299	D₄	—	4	8	no	—
1300	D₄	—	4	4	no	—
1301	D₄	—	4	4	no	—
1302	D₄	—	4	4	no	—
1303	D₄	—	4	8	no	—
1304	D₄	—	4	8	no	—
1305	D₄	—	8	2	no	—
1306	D₄	—	8	2	no	—
1307	D₄	—	8	4	no	—
1308	C₂×C₄	—	2	8	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	2	2	no	—
1314	C₂×C₄	—	2	2	no	—
1315	C₂×C₄	—	2	2	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	2	no	—
1321	C₂×C₄	—	2	2	no	—
1322	C₂×C₄	—	2	2	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	2	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	2	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	2	no	—
1331	C₂×C₄	—	2	2	no	—
1332	C₂×C₄	—	2	2	no	—
1333	C₂×C₄	—	2	2	no	—
1334	C₂×C₄	—	2	2	no	—
1335	C₂×C₄	—	2	2	no	—
1336	C₂×C₄	—	2	2	no	—
1337	C₂×C₄	—	2	2	no	—
1338	C₂×C₄	—	2	2	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	2	no	—
1341	C₂×C₄	—	2	2	no	—
1342	C₂×C₄	—	2	2	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	4	4	no	—
1345	C₂×C₄	—	4	4	no	—
1346	C₂×C₄	—	4	8	no	—
1347	C₂×C₄	—	4	8	no	—
1348	C₂×C₄	—	4	8	no	—
1349	C₂×C₄	—	4	8	no	—
1350	C₂×C₄	—	4	4	no	—
1351	C₂×C₄	—	4	8	no	—
1352	C₂×C₄	—	4	4	no	—
1353	C₂×C₄	—	4	4	no	—
1354	C₂×C₄	—	4	4	no	—
1355	C₂×C₄	—	8	2	no	—
1356	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1357	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
1358	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1359	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1360	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1361	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1362	C₂²	—	2	32	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	2	4	no	—
1365	C₂²	—	2	4	no	—
1366	C₂²	—	2	2	no	—
1367	C₂²	—	2	4	no	—
1368	C₂²	—	2	4	no	—
1369	C₂²	—	2	4	no	—
1370	C₂²	—	2	2	no	—
1371	C₂²	—	2	4	no	—
1372	C₂²	—	2	2	no	—
1373	C₂²	—	2	4	no	—
1374	C₂²	—	2	4	no	—
1375	C₂²	—	2	4	no	—
1376	C₂²	—	2	4	no	—
1377	C₂²	—	2	2	no	—
1378	C₂²	—	2	4	no	—
1379	C₂²	—	2	2	no	—
1380	C₂²	—	2	2	no	—
1381	C₂²	—	2	4	no	—
1382	C₂²	—	2	4	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	2	4	no	—
1385	C₂²	—	4	16	no	—
1386	C₂²	—	4	32	no	—
1387	C₂²	—	4	16	no	—
1388	C₂²	—	4	32	no	—
1389	C₂²	—	4	1	no	—
1390	C₂²	—	4	2	no	—
1391	C₂²	—	4	2	no	—
1392	C₂²	—	4	2	no	—
1393	C₂²	—	4	1	no	—
1394	C₂²	—	4	2	no	—
1395	C₂²	—	4	2	no	—
1396	C₂²	—	4	2	no	—
1397	C₂²	—	4	2	no	—
1398	C₂²	—	4	1	no	—
1399	C₂²	—	4	1	no	—
1400	C₂²	—	4	1	no	—
1401	C₂²	—	4	1	no	—
1402	C₂²	—	4	2	no	—
1403	C₂²	—	4	2	no	—
1404	C₂²	—	4	1	no	—
1405	C₂²	—	4	1	no	—
1406	C₂²	—	4	2	no	—
1407	C₂²	—	4	2	no	—
1408	C₂²	—	8	8	no	—
1409	C₂²	#525×C₁₃₉	1	4	yes	complemented
1410	C₂²	D₄²×C₁₃₉	1	4	yes	—
1411	C₂²	#546×C₁₃₉	1	8	yes	complemented
1412	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1413	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1414	C₂²	C₂²×#41×C₁₃₉	1	2	yes	—
1415	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1416	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1417	C₄	—	2	2	no	—
1418	C₄	—	2	2	no	—
1419	C₄	—	2	2	no	—
1420	C₄	—	2	4	no	—
1421	C₄	—	2	2	no	—
1422	C₄	—	2	2	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	2	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	2	no	—
1428	C₄	—	4	2	no	—
1429	C₄	—	4	2	no	—
1430	C₄	—	4	1	no	—
1431	C₄	—	4	2	no	—
1432	C₂	—	2	4	no	—
1433	C₂	—	2	8	no	—
1434	C₂	—	2	4	no	—
1435	C₂	—	4	2	no	—
1436	C₂	—	4	4	no	—
1437	C₂	—	4	2	no	—
1438	C₂	—	8	1	no	—
1439	C₂	—	8	1	no	—
1440	C₂	C₂×#525×C₁₃₉	1	1	yes	characteristic
1441	C₂	C₂×D₄²×C₁₃₉	1	1	yes	characteristic
1442	C₂	C₂×#546×C₁₃₉	1	2	yes	—
1443	C₂	#3484×C₁₃₉	1	1	yes	characteristic
1444	C₂	#3490×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×#120×C₁₃₉	C₂	semidirect
4. C₂³×C₂²⋊C₄×C₁₃₉	C₂	semidirect
5. #2849×C₁₃₉	C₂	semidirect
6. #2847×C₁₃₉	C₂	semidirect
7. #2846×C₁₃₉	C₂	semidirect
8. #2539×C₁₃₉	C₂	semidirect
9. #2534×C₁₃₉	C₂	semidirect
10. #2472×C₁₃₉	C₂	semidirect
11. #2437×C₁₃₉	C₂	semidirect
12. #2424×C₁₃₉	C₂	semidirect
13. #2424×C₁₃₉	C₂	semidirect
14. #2418×C₁₃₉	C₂	semidirect
15. #2412×C₁₃₉	C₂	semidirect
16. #2411×C₁₃₉	C₂	semidirect
17. #2410×C₁₃₉	C₂	semidirect
18. #2405×C₁₃₉	C₂	semidirect
19. #2404×C₁₃₉	C₂	semidirect
20. #2358×C₁₃₉	C₂	semidirect
21. #2342×C₁₃₉	C₂	semidirect
22. D₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
23. C₄×#120×C₁₃₉	C₂	semidirect
25. C₂²×#41×C₁₃₉	C₂²	semidirect
28. C₂⁴×C₄×C₁₃₉	C₂²	semidirect
29. C₂⁴×C₄×C₁₃₉	C₂²	semidirect
31. C₂×#124×C₁₃₉	C₂²	semidirect
33. C₂×#123×C₁₃₉	C₂²	semidirect
34. C₂×#123×C₁₃₉	C₂²	semidirect
35. C₂×#123×C₁₃₉	C₂²	semidirect
36. C₂×#123×C₁₃₉	C₂²	semidirect
37. C₂×#123×C₁₃₉	C₂²	semidirect
38. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
39. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
40. C₂×#121×C₁₃₉	C₂²	semidirect
41. C₂×#121×C₁₃₉	C₂²	semidirect
42. C₂×#121×C₁₃₉	C₂²	semidirect
43. C₂×#121×C₁₃₉	C₂²	semidirect
44. C₂×#121×C₁₃₉	C₂²	semidirect
54. C₂×#120×C₁₃₉	C₂²	semidirect
55. C₂×#120×C₁₃₉	C₂²	semidirect
56. C₂×#120×C₁₃₉	C₂²	semidirect
57. C₂×#120×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
62. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
63. C₂×#117×C₁₃₉	C₂²	semidirect
71. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
72. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
73. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
74. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
75. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
76. #399×C₁₃₉	C₂²	semidirect
77. #397×C₁₃₉	C₂²	semidirect
78. #396×C₁₃₉	C₂²	semidirect
79. #396×C₁₃₉	C₂²	semidirect
80. #394×C₁₃₉	C₂²	semidirect
81. #394×C₁₃₉	C₂²	semidirect
82. #394×C₁₃₉	C₂²	semidirect
83. #394×C₁₃₉	C₂²	semidirect
84. #394×C₁₃₉	C₂²	semidirect
85. #393×C₁₃₉	C₂²	semidirect
86. #392×C₁₃₉	C₂²	semidirect
87. #392×C₁₃₉	C₂²	semidirect
88. #390×C₁₃₉	C₂²	semidirect
89. #390×C₁₃₉	C₂²	semidirect
90. #390×C₁₃₉	C₂²	semidirect
91. #388×C₁₃₉	C₂²	semidirect
92. #388×C₁₃₉	C₂²	semidirect
93. #388×C₁₃₉	C₂²	semidirect
94. #388×C₁₃₉	C₂²	semidirect
95. #386×C₁₃₉	C₂²	semidirect
96. #386×C₁₃₉	C₂²	semidirect
97. #386×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
106. #386×C₁₃₉	C₂²	semidirect
107. #385×C₁₃₉	C₂²	semidirect
108. #385×C₁₃₉	C₂²	semidirect
109. #385×C₁₃₉	C₂²	semidirect
110. #385×C₁₃₉	C₂²	semidirect
111. #385×C₁₃₉	C₂²	semidirect
112. #385×C₁₃₉	C₂²	semidirect
113. #381×C₁₃₉	C₂²	semidirect
114. #381×C₁₃₉	C₂²	semidirect
115. #380×C₁₃₉	C₂²	semidirect
116. #380×C₁₃₉	C₂²	semidirect
117. #380×C₁₃₉	C₂²	semidirect
120. #379×C₁₃₉	C₂²	semidirect
121. #379×C₁₃₉	C₂²	semidirect
122. #379×C₁₃₉	C₂²	semidirect
123. #379×C₁₃₉	C₂²	semidirect
124. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
125. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
126. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
141. C₂²×Q₈×C₁₃₉	C₂³	semidirect
161. C₂²×D₄×C₁₃₉	C₂³	semidirect
162. C₂²×D₄×C₁₃₉	C₂³	semidirect
178. C₂³×C₄×C₁₃₉	C₂³	semidirect
179. C₂³×C₄×C₁₃₉	C₂³	semidirect
180. C₂³×C₄×C₁₃₉	C₂³	semidirect
205. #120×C₁₃₉	D₄	semidirect
212. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
213. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
214. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
215. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
216. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
217. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
218. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
219. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
220. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
221. C₂×C₄⋊C₄×C₁₃₉	C₂³	semidirect
232. C₂×C₂²⋊C₄×C₁₃₉	D₄	semidirect
263. C₂×C₂²⋊C₄×C₁₃₉	C₂³	semidirect
264. C₂×C₂²⋊C₄×C₁₃₉	C₂³	semidirect
265. C₂×C₂²⋊C₄×C₁₃₉	C₂³	semidirect
266. C₂×C₂²⋊C₄×C₁₃₉	C₂³	semidirect
267. C₂×C₂²⋊C₄×C₁₃₉	C₂³	semidirect
268. C₂×C₂²⋊C₄×C₁₃₉	C₂³	semidirect
269. C₂×C₂²⋊C₄×C₁₃₉	C₂³	semidirect
270. C₂×C₂²⋊C₄×C₁₃₉	C₂³	semidirect
271. C₂×C₂²⋊C₄×C₁₃₉	C₂³	semidirect
272. C₂×C₂²⋊C₄×C₁₃₉	C₂³	semidirect
273. C₂×C₂²⋊C₄×C₁₃₉	C₂³	semidirect
274. C₂×C₄²×C₁₃₉	C₂³	semidirect
275. C₂×C₄²×C₁₃₉	C₂³	semidirect
276. C₂×C₄²×C₁₃₉	C₂³	semidirect
277. #95×C₁₃₉	C₂³	semidirect
278. #95×C₁₃₉	C₂³	semidirect
279. #95×C₁₃₉	C₂³	semidirect
280. #95×C₁₃₉	C₂³	semidirect
281. #95×C₁₃₉	C₂³	semidirect
282. #95×C₁₃₉	C₂³	semidirect
283. #95×C₁₃₉	C₂³	semidirect
284. #95×C₁₃₉	C₂³	semidirect
285. #95×C₁₃₉	C₂³	semidirect
286. #95×C₁₃₉	C₂³	semidirect
325. C₂⁴×C₁₃₉	#41	semidirect
418. C₂²×C₄×C₁₃₉	C₂×D₄	semidirect
419. C₂²×C₄×C₁₃₉	C₂×D₄	semidirect
484. C₂²⋊C₄×C₁₃₉	C₂×D₄	semidirect
485. C₂²⋊C₄×C₁₃₉	C₂×D₄	semidirect
686. C₂²×C₁₃₉	#525	semidirect
688. C₂²×C₁₃₉	#546	semidirect
722. #36098	C₁₃₉	direct (N × H)
723. C₁₃₉	#36098	direct (N × H)
724. C₂×#546	C₂×C₁₃₉	semidirect
725. C₂×#525	C₂×C₁₃₉	semidirect
726. C₂²×#120	C₂×C₁₃₉	semidirect
727. C₂³×C₂²⋊C₄	C₂×C₁₃₉	semidirect
728. #2849	C₂×C₁₃₉	semidirect
729. #2847	C₂×C₁₃₉	semidirect
730. #2846	C₂×C₁₃₉	semidirect
731. #2539	C₂×C₁₃₉	semidirect
732. #2534	C₂×C₁₃₉	semidirect
733. #2472	C₂×C₁₃₉	semidirect
734. #2437	C₂×C₁₃₉	semidirect
735. #2424	C₂×C₁₃₉	semidirect
736. #2424	C₂×C₁₃₉	semidirect
737. #2418	C₂×C₁₃₉	semidirect
738. #2412	C₂×C₁₃₉	semidirect
739. #2411	C₂×C₁₃₉	semidirect
740. #2410	C₂×C₁₃₉	semidirect
741. #2405	C₂×C₁₃₉	semidirect
742. #2404	C₂×C₁₃₉	semidirect
743. #2358	C₂×C₁₃₉	semidirect
744. #2342	C₂×C₁₃₉	semidirect
745. D₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
746. C₄×#120	C₂×C₁₃₉	semidirect
748. C₂²×#41	C₂²×C₁₃₉	semidirect
751. C₂⁴×C₄	C₂²×C₁₃₉	semidirect
752. C₂⁴×C₄	C₂²×C₁₃₉	semidirect
754. C₂×#124	C₂²×C₁₃₉	semidirect
756. C₂×#123	C₂²×C₁₃₉	semidirect
757. C₂×#123	C₂²×C₁₃₉	semidirect
758. C₂×#123	C₂²×C₁₃₉	semidirect
759. C₂×#123	C₂²×C₁₃₉	semidirect
760. C₂×#123	C₂²×C₁₃₉	semidirect
761. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
762. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
763. C₂×#121	C₂²×C₁₃₉	semidirect
764. C₂×#121	C₂²×C₁₃₉	semidirect
765. C₂×#121	C₂²×C₁₃₉	semidirect
766. C₂×#121	C₂²×C₁₃₉	semidirect
767. C₂×#121	C₂²×C₁₃₉	semidirect
777. C₂×#120	C₂²×C₁₃₉	semidirect
778. C₂×#120	C₂²×C₁₃₉	semidirect
779. C₂×#120	C₂²×C₁₃₉	semidirect
780. C₂×#120	C₂²×C₁₃₉	semidirect
781. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
782. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
783. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
784. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
785. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
786. C₂×#117	C₂²×C₁₃₉	semidirect
794. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
795. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
796. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
797. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
798. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
799. #399	C₂²×C₁₃₉	semidirect
800. #397	C₂²×C₁₃₉	semidirect
801. #396	C₂²×C₁₃₉	semidirect
802. #396	C₂²×C₁₃₉	semidirect
803. #394	C₂²×C₁₃₉	semidirect
804. #394	C₂²×C₁₃₉	semidirect
805. #394	C₂²×C₁₃₉	semidirect
806. #394	C₂²×C₁₃₉	semidirect
807. #394	C₂²×C₁₃₉	semidirect
808. #393	C₂²×C₁₃₉	semidirect
809. #392	C₂²×C₁₃₉	semidirect
810. #392	C₂²×C₁₃₉	semidirect
811. #390	C₂²×C₁₃₉	semidirect
812. #390	C₂²×C₁₃₉	semidirect
813. #390	C₂²×C₁₃₉	semidirect
814. #388	C₂²×C₁₃₉	semidirect
815. #388	C₂²×C₁₃₉	semidirect
816. #388	C₂²×C₁₃₉	semidirect
817. #388	C₂²×C₁₃₉	semidirect
818. #386	C₂²×C₁₃₉	semidirect
819. #386	C₂²×C₁₃₉	semidirect
820. #386	C₂²×C₁₃₉	semidirect
821. #386	C₂²×C₁₃₉	semidirect
822. #386	C₂²×C₁₃₉	semidirect
823. #386	C₂²×C₁₃₉	semidirect
824. #386	C₂²×C₁₃₉	semidirect
825. #386	C₂²×C₁₃₉	semidirect
826. #386	C₂²×C₁₃₉	semidirect
827. #386	C₂²×C₁₃₉	semidirect
828. #386	C₂²×C₁₃₉	semidirect
829. #386	C₂²×C₁₃₉	semidirect
830. #385	C₂²×C₁₃₉	semidirect
831. #385	C₂²×C₁₃₉	semidirect
832. #385	C₂²×C₁₃₉	semidirect
833. #385	C₂²×C₁₃₉	semidirect
834. #385	C₂²×C₁₃₉	semidirect
835. #385	C₂²×C₁₃₉	semidirect
836. #381	C₂²×C₁₃₉	semidirect
837. #381	C₂²×C₁₃₉	semidirect
838. #380	C₂²×C₁₃₉	semidirect
839. #380	C₂²×C₁₃₉	semidirect
840. #380	C₂²×C₁₃₉	semidirect
843. #379	C₂²×C₁₃₉	semidirect
844. #379	C₂²×C₁₃₉	semidirect
845. #379	C₂²×C₁₃₉	semidirect
846. #379	C₂²×C₁₃₉	semidirect
847. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
848. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
849. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
864. C₂²×Q₈	C₂³×C₁₃₉	semidirect
884. C₂²×D₄	C₂³×C₁₃₉	semidirect
885. C₂²×D₄	C₂³×C₁₃₉	semidirect
901. C₂³×C₄	C₂³×C₁₃₉	semidirect
902. C₂³×C₄	C₂³×C₁₃₉	semidirect
903. C₂³×C₄	C₂³×C₁₃₉	semidirect
928. #120	D₄×C₁₃₉	semidirect
935. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
936. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
937. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
938. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
939. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
940. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
941. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
942. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
943. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
944. C₂×C₄⋊C₄	C₂³×C₁₃₉	semidirect
955. C₂×C₂²⋊C₄	D₄×C₁₃₉	semidirect
986. C₂×C₂²⋊C₄	C₂³×C₁₃₉	semidirect
987. C₂×C₂²⋊C₄	C₂³×C₁₃₉	semidirect
988. C₂×C₂²⋊C₄	C₂³×C₁₃₉	semidirect
989. C₂×C₂²⋊C₄	C₂³×C₁₃₉	semidirect
990. C₂×C₂²⋊C₄	C₂³×C₁₃₉	semidirect
991. C₂×C₂²⋊C₄	C₂³×C₁₃₉	semidirect
992. C₂×C₂²⋊C₄	C₂³×C₁₃₉	semidirect
993. C₂×C₂²⋊C₄	C₂³×C₁₃₉	semidirect
994. C₂×C₂²⋊C₄	C₂³×C₁₃₉	semidirect
995. C₂×C₂²⋊C₄	C₂³×C₁₃₉	semidirect
996. C₂×C₂²⋊C₄	C₂³×C₁₃₉	semidirect
997. C₂×C₄²	C₂³×C₁₃₉	semidirect
998. C₂×C₄²	C₂³×C₁₃₉	semidirect
999. C₂×C₄²	C₂³×C₁₃₉	semidirect
1000. #95	C₂³×C₁₃₉	semidirect
1001. #95	C₂³×C₁₃₉	semidirect
1002. #95	C₂³×C₁₃₉	semidirect
1003. #95	C₂³×C₁₃₉	semidirect
1004. #95	C₂³×C₁₃₉	semidirect
1005. #95	C₂³×C₁₃₉	semidirect
1006. #95	C₂³×C₁₃₉	semidirect
1007. #95	C₂³×C₁₃₉	semidirect
1008. #95	C₂³×C₁₃₉	semidirect
1009. #95	C₂³×C₁₃₉	semidirect
1048. C₂⁴	#41×C₁₃₉	semidirect
1141. C₂²×C₄	C₂×D₄×C₁₃₉	semidirect
1142. C₂²×C₄	C₂×D₄×C₁₃₉	semidirect
1207. C₂²⋊C₄	C₂×D₄×C₁₃₉	semidirect
1208. C₂²⋊C₄	C₂×D₄×C₁₃₉	semidirect
1409. C₂²	#525×C₁₃₉	semidirect
1411. C₂²	#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×#525×C₁₃₉	2
C₂²×#120×C₁₃₉	2
C₂³×C₂²⋊C₄×C₁₃₉	2
#2849×C₁₃₉	2
#2847×C₁₃₉	2
#2846×C₁₃₉	2
#2539×C₁₃₉	2
#2534×C₁₃₉	2
#2472×C₁₃₉	2
#2437×C₁₃₉	2
#2424×C₁₃₉	2
#2418×C₁₃₉	2
#2412×C₁₃₉	2
#2411×C₁₃₉	2
#2410×C₁₃₉	2
#2405×C₁₃₉	2
#2404×C₁₃₉	2
#2358×C₁₃₉	2
#2342×C₁₃₉	2
D₄×C₂²⋊C₄×C₁₃₉	2
C₄×#120×C₁₃₉	2
#36098	139

Subgroups — C139×#36098 #48030694

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36098 #48030694