Subgroups — C₁₃₉×#35694 #48030290

Order 35584.

3190 conjugacy classes of subgroups.

The subgroup lattice has 1100 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	#2661×C₁₃₉	C₂	1	2	yes	maximal, complemented
3	#2617×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2602×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2557×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2555×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2549×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2472×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2464×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2433×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
11	#2431×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2428×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2410×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2388×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	C₂×#392×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2364×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2358×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	D₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2273×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#41×C₁₃₉	C₂²	1	2	yes	complemented
21	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
22	C₂³×D₄×C₁₃₉	C₂²	1	2	yes	—
23	#546×C₁₃₉	—	2	16	no	—
24	C₂×#127×C₁₃₉	C₂²	1	2	yes	complemented
25	C₂×#124×C₁₃₉	C₂²	1	2	yes	complemented
26	C₂×#124×C₁₃₉	C₂²	1	2	yes	complemented
27	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
28	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
29	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
30	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
31	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
32	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
33	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
34	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
35	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
36	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
37	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
38	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
39	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
40	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
41	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
42	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
43	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
44	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
45	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
46	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
47	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
48	#398×C₁₃₉	C₂²	1	2	yes	complemented
49	#397×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
50	#397×C₁₃₉	C₂²	1	2	yes	complemented
51	#397×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
52	#395×C₁₃₉	C₂²	1	2	yes	complemented
53	#394×C₁₃₉	C₂²	1	2	yes	complemented
54	#394×C₁₃₉	C₂²	1	2	yes	complemented
55	#394×C₁₃₉	C₂²	1	2	yes	complemented
56	#394×C₁₃₉	C₂²	1	2	yes	complemented
57	#394×C₁₃₉	C₂²	1	2	yes	complemented
58	#394×C₁₃₉	C₂²	1	2	yes	complemented
59	#393×C₁₃₉	C₂²	1	2	yes	complemented
60	#392×C₁₃₉	C₂²	1	1	yes	characteristic
61	#392×C₁₃₉	C₂²	1	2	yes	—
62	#392×C₁₃₉	C₂²	1	2	yes	—
63	#392×C₁₃₉	C₂²	1	1	yes	characteristic
64	#392×C₁₃₉	C₂²	1	1	yes	characteristic
65	#392×C₁₃₉	C₂²	1	1	yes	characteristic
66	#392×C₁₃₉	C₂²	1	2	yes	complemented
67	#392×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
68	#392×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
69	#392×C₁₃₉	C₂²	1	2	yes	complemented
70	#392×C₁₃₉	C₂²	1	2	yes	complemented
71	#392×C₁₃₉	C₂²	1	2	yes	complemented
72	#391×C₁₃₉	C₂²	1	2	yes	complemented
73	#390×C₁₃₉	C₂²	1	2	yes	complemented
74	#390×C₁₃₉	C₂²	1	2	yes	complemented
75	#390×C₁₃₉	C₂²	1	2	yes	complemented
76	#390×C₁₃₉	C₂²	1	2	yes	complemented
77	#389×C₁₃₉	C₂²	1	2	yes	complemented
78	#388×C₁₃₉	C₂²	1	2	yes	complemented
79	#388×C₁₃₉	C₂²	1	2	yes	complemented
80	#388×C₁₃₉	C₂²	1	2	yes	complemented
81	#388×C₁₃₉	C₂²	1	2	yes	complemented
82	#388×C₁₃₉	C₂²	1	2	yes	complemented
83	#387×C₁₃₉	C₂²	1	2	yes	complemented
84	#386×C₁₃₉	C₂²	1	2	yes	—
85	#386×C₁₃₉	C₂²	1	2	yes	—
86	#386×C₁₃₉	C₂²	1	2	yes	complemented
87	#386×C₁₃₉	C₂²	1	2	yes	complemented
88	#386×C₁₃₉	C₂²	1	2	yes	complemented
89	#386×C₁₃₉	C₂²	1	2	yes	complemented
90	#386×C₁₃₉	C₂²	1	2	yes	complemented
91	#386×C₁₃₉	C₂²	1	2	yes	complemented
92	#386×C₁₃₉	C₂²	1	2	yes	complemented
93	#385×C₁₃₉	C₂²	1	2	yes	—
94	#385×C₁₃₉	C₂²	1	2	yes	complemented
95	#380×C₁₃₉	C₂²	1	1	yes	characteristic
96	#379×C₁₃₉	C₂²	1	2	yes	—
97	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
98	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
99	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
100	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
101	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
102	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
103	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
104	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
105	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
106	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
107	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
108	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
109	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
110	C₂×#41×C₁₃₉	—	2	8	no	—
111	C₂×#41×C₁₃₉	—	4	4	no	—
112	C₂×#41×C₁₃₉	—	4	4	no	—
113	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
114	C₂²×D₄×C₁₃₉	—	2	8	no	—
115	C₂²×D₄×C₁₃₉	—	2	4	no	—
116	C₂²×D₄×C₁₃₉	—	4	4	no	—
117	C₂²×D₄×C₁₃₉	—	4	4	no	—
118	C₂²×D₄×C₁₃₉	—	4	4	no	—
119	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
120	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
121	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
122	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
123	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
124	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
125	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
126	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
127	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
128	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
129	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
130	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
131	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
132	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
133	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
134	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
135	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
136	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
137	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
139	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
140	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
141	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
142	#127×C₁₃₉	—	4	4	no	—
143	#124×C₁₃₉	—	2	8	no	—
144	#124×C₁₃₉	—	4	4	no	—
145	#123×C₁₃₉	—	2	8	no	—
146	#123×C₁₃₉	—	2	8	no	—
147	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
148	#121×C₁₃₉	—	2	8	no	—
149	#121×C₁₃₉	—	2	4	no	—
150	#121×C₁₃₉	—	2	8	no	—
151	#121×C₁₃₉	—	2	8	no	—
152	#121×C₁₃₉	—	4	4	no	—
153	#121×C₁₃₉	—	4	4	no	—
154	#120×C₁₃₉	—	2	8	no	—
155	#120×C₁₃₉	—	2	8	no	—
156	#120×C₁₃₉	—	2	8	no	—
157	C₄×D₄×C₁₃₉	—	2	8	no	—
158	C₄×D₄×C₁₃₉	—	2	8	no	—
159	C₄×D₄×C₁₃₉	—	4	4	no	—
160	C₄×D₄×C₁₃₉	—	4	4	no	—
161	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
162	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
163	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
164	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
165	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
166	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
167	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
168	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
169	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
170	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
171	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
172	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
173	C₂×C₂²⋊C₄×C₁₃₉	D₄	1	8	yes	complemented
174	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
175	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
176	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
177	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
178	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
179	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
180	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
182	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
183	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
184	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
185	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
186	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
187	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
188	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
189	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
190	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
191	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
192	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
193	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
196	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
197	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
198	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
199	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
200	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
201	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
202	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
203	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
206	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
208	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
209	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
210	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
211	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
212	#95×C₁₃₉	C₂³	1	1	yes	characteristic
213	#95×C₁₃₉	C₂³	1	2	yes	—
214	#95×C₁₃₉	C₂³	1	2	yes	—
215	#95×C₁₃₉	C₂³	1	2	yes	—
216	#95×C₁₃₉	C₂³	1	2	yes	—
217	#95×C₁₃₉	C₂³	1	1	yes	characteristic
218	#95×C₁₃₉	C₂³	1	1	yes	characteristic
219	#95×C₁₃₉	C₂³	1	2	yes	—
220	#95×C₁₃₉	C₂³	1	2	yes	—
221	#95×C₁₃₉	C₂³	1	1	yes	characteristic
222	#95×C₁₃₉	C₂³	1	2	yes	—
223	#95×C₁₃₉	C₂³	1	2	yes	—
224	#95×C₁₃₉	C₂³	1	2	yes	—
225	#95×C₁₃₉	C₂³	1	2	yes	—
226	#95×C₁₃₉	C₂³	1	2	yes	—
227	C₂⁴×C₁₃₉	—	2	2	no	—
228	C₂⁴×C₁₃₉	—	2	2	no	—
229	C₂⁴×C₁₃₉	—	2	4	no	—
230	C₂⁴×C₁₃₉	—	2	4	no	—
231	C₂⁴×C₁₃₉	—	2	4	no	—
232	C₂⁴×C₁₃₉	—	2	4	no	—
233	C₂⁴×C₁₃₉	—	4	2	no	—
234	C₂⁴×C₁₃₉	—	4	2	no	—
235	C₂⁴×C₁₃₉	—	4	2	no	—
236	C₂⁴×C₁₃₉	—	4	2	no	—
237	C₂⁴×C₁₃₉	—	4	2	no	—
238	C₂⁴×C₁₃₉	C₂×D₄	1	4	yes	—
239	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
240	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
241	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
242	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
243	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
244	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
245	#41×C₁₃₉	—	4	32	no	—
246	C₂×Q₈×C₁₃₉	—	2	4	no	—
247	C₂×Q₈×C₁₃₉	—	2	4	no	—
248	C₂×Q₈×C₁₃₉	—	4	2	no	—
249	C₂×D₄×C₁₃₉	—	2	4	no	—
250	C₂×D₄×C₁₃₉	—	2	4	no	—
251	C₂×D₄×C₁₃₉	—	2	4	no	—
252	C₂×D₄×C₁₃₉	—	2	4	no	—
253	C₂×D₄×C₁₃₉	—	2	4	no	—
254	C₂×D₄×C₁₃₉	—	2	4	no	—
255	C₂×D₄×C₁₃₉	—	2	4	no	—
256	C₂×D₄×C₁₃₉	—	2	4	no	—
257	C₂×D₄×C₁₃₉	—	2	4	no	—
258	C₂×D₄×C₁₃₉	—	2	4	no	—
259	C₂×D₄×C₁₃₉	—	2	4	no	—
260	C₂×D₄×C₁₃₉	—	2	4	no	—
261	C₂×D₄×C₁₃₉	—	2	4	no	—
262	C₂×D₄×C₁₃₉	—	2	4	no	—
263	C₂×D₄×C₁₃₉	—	2	4	no	—
264	C₂×D₄×C₁₃₉	—	2	4	no	—
265	C₂×D₄×C₁₃₉	—	2	4	no	—
266	C₂×D₄×C₁₃₉	—	2	2	no	—
267	C₂×D₄×C₁₃₉	—	2	4	no	—
268	C₂×D₄×C₁₃₉	—	2	2	no	—
269	C₂×D₄×C₁₃₉	—	2	4	no	—
270	C₂×D₄×C₁₃₉	—	2	4	no	—
271	C₂×D₄×C₁₃₉	—	2	2	no	—
272	C₂×D₄×C₁₃₉	—	2	4	no	—
273	C₂×D₄×C₁₃₉	—	2	4	no	—
274	C₂×D₄×C₁₃₉	—	4	2	no	—
275	C₂×D₄×C₁₃₉	—	4	2	no	—
276	C₂×D₄×C₁₃₉	—	4	2	no	—
277	C₂×D₄×C₁₃₉	—	4	2	no	—
278	C₂×D₄×C₁₃₉	—	4	2	no	—
279	C₂×D₄×C₁₃₉	—	4	2	no	—
280	C₂×D₄×C₁₃₉	—	4	2	no	—
281	C₂×D₄×C₁₃₉	—	4	2	no	—
282	C₂×D₄×C₁₃₉	—	4	2	no	—
283	C₂×D₄×C₁₃₉	—	4	2	no	—
284	C₂×D₄×C₁₃₉	—	4	2	no	—
285	C₂×D₄×C₁₃₉	—	4	2	no	—
286	C₂×D₄×C₁₃₉	—	4	2	no	—
287	C₂×D₄×C₁₃₉	—	4	2	no	—
288	C₂×D₄×C₁₃₉	—	4	2	no	—
289	C₂×D₄×C₁₃₉	—	4	2	no	—
290	C₂×D₄×C₁₃₉	—	4	2	no	—
291	C₂×D₄×C₁₃₉	—	4	16	no	—
292	C₂×D₄×C₁₃₉	—	4	32	no	—
293	C₂²×C₄×C₁₃₉	—	2	4	no	—
294	C₂²×C₄×C₁₃₉	—	2	4	no	—
295	C₂²×C₄×C₁₃₉	—	2	2	no	—
296	C₂²×C₄×C₁₃₉	—	2	4	no	—
297	C₂²×C₄×C₁₃₉	—	2	4	no	—
298	C₂²×C₄×C₁₃₉	—	2	4	no	—
299	C₂²×C₄×C₁₃₉	—	2	4	no	—
300	C₂²×C₄×C₁₃₉	—	2	4	no	—
301	C₂²×C₄×C₁₃₉	—	2	4	no	—
302	C₂²×C₄×C₁₃₉	—	4	2	no	—
303	C₂²×C₄×C₁₃₉	—	4	2	no	—
304	C₂²×C₄×C₁₃₉	—	4	2	no	—
305	C₂²×C₄×C₁₃₉	—	4	2	no	—
306	C₂²×C₄×C₁₃₉	—	4	2	no	—
307	C₂²×C₄×C₁₃₉	—	4	2	no	—
308	C₂²×C₄×C₁₃₉	—	4	2	no	—
309	C₂²×C₄×C₁₃₉	—	4	2	no	—
310	C₂²×C₄×C₁₃₉	—	4	2	no	—
311	C₂²×C₄×C₁₃₉	—	4	2	no	—
312	C₂²×C₄×C₁₃₉	—	4	2	no	—
313	C₂²×C₄×C₁₃₉	C₂×D₄	1	8	yes	complemented
314	C₂²×C₄×C₁₃₉	#41	1	4	yes	complemented
315	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
316	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
317	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
318	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
319	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
320	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
321	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
322	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
323	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
324	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
325	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
326	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
328	C₄⋊C₄×C₁₃₉	—	2	4	no	—
329	C₄⋊C₄×C₁₃₉	—	2	4	no	—
330	C₄⋊C₄×C₁₃₉	—	2	4	no	—
331	C₄⋊C₄×C₁₃₉	—	2	4	no	—
332	C₄⋊C₄×C₁₃₉	—	2	2	no	—
333	C₄⋊C₄×C₁₃₉	—	2	4	no	—
334	C₄⋊C₄×C₁₃₉	—	4	2	no	—
335	C₄⋊C₄×C₁₃₉	—	4	2	no	—
336	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
337	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
338	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
339	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
340	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
341	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
342	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
343	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
344	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
345	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
346	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
347	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
348	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
349	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
350	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
351	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
352	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
353	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
354	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
355	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
356	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
357	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
358	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
359	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
360	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
361	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
362	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
363	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
364	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
365	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
366	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
367	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	complemented
368	C₂²⋊C₄×C₁₃₉	#41	1	4	yes	complemented
369	C₄²×C₁₃₉	—	2	4	no	—
370	C₄²×C₁₃₉	—	4	2	no	—
371	C₄²×C₁₃₉	—	4	2	no	—
372	C₄²×C₁₃₉	—	4	2	no	—
373	C₄²×C₁₃₉	—	4	2	no	—
374	C₂³×C₁₃₉	—	2	2	no	—
375	C₂³×C₁₃₉	—	2	2	no	—
376	C₂³×C₁₃₉	—	2	2	no	—
377	C₂³×C₁₃₉	—	2	1	no	—
378	C₂³×C₁₃₉	—	2	1	no	—
379	C₂³×C₁₃₉	—	2	1	no	—
380	C₂³×C₁₃₉	—	2	2	no	—
381	C₂³×C₁₃₉	—	2	1	no	—
382	C₂³×C₁₃₉	—	2	2	no	—
383	C₂³×C₁₃₉	—	2	2	no	—
384	C₂³×C₁₃₉	—	2	2	no	—
385	C₂³×C₁₃₉	—	2	2	no	—
386	C₂³×C₁₃₉	—	2	2	no	—
387	C₂³×C₁₃₉	—	2	2	no	—
388	C₂³×C₁₃₉	—	2	2	no	—
389	C₂³×C₁₃₉	—	2	2	no	—
390	C₂³×C₁₃₉	—	2	8	no	—
391	C₂³×C₁₃₉	—	2	2	no	—
392	C₂³×C₁₃₉	—	2	2	no	—
393	C₂³×C₁₃₉	—	2	2	no	—
394	C₂³×C₁₃₉	—	2	2	no	—
395	C₂³×C₁₃₉	—	2	2	no	—
396	C₂³×C₁₃₉	—	2	2	no	—
397	C₂³×C₁₃₉	—	2	2	no	—
398	C₂³×C₁₃₉	—	2	2	no	—
399	C₂³×C₁₃₉	—	2	2	no	—
400	C₂³×C₁₃₉	—	2	2	no	—
401	C₂³×C₁₃₉	—	2	2	no	—
402	C₂³×C₁₃₉	—	2	2	no	—
403	C₂³×C₁₃₉	—	2	2	no	—
404	C₂³×C₁₃₉	—	2	2	no	—
405	C₂³×C₁₃₉	—	4	8	no	—
406	C₂³×C₁₃₉	—	4	8	no	—
407	C₂³×C₁₃₉	—	4	8	no	—
408	C₂³×C₁₃₉	—	4	8	no	—
409	C₂³×C₁₃₉	—	4	8	no	—
410	C₂³×C₁₃₉	—	8	4	no	—
411	C₂³×C₁₃₉	—	8	2	no	—
412	C₂³×C₁₃₉	—	8	2	no	—
413	C₂³×C₁₃₉	—	8	4	no	—
414	C₂³×C₁₃₉	—	8	4	no	—
415	C₂³×C₁₃₉	—	8	4	no	—
416	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
417	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
418	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
419	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
420	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
421	C₂³×C₁₃₉	H(5,𝔽₂)	1	4	yes	—
422	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
423	Q₈×C₁₃₉	—	4	8	no	—
424	D₄×C₁₃₉	—	2	8	no	—
425	D₄×C₁₃₉	—	2	16	no	—
426	D₄×C₁₃₉	—	4	8	no	—
427	D₄×C₁₃₉	—	4	8	no	—
428	D₄×C₁₃₉	—	4	8	no	—
429	D₄×C₁₃₉	—	4	8	no	—
430	D₄×C₁₃₉	—	4	4	no	—
431	D₄×C₁₃₉	—	4	8	no	—
432	D₄×C₁₃₉	—	4	8	no	—
433	D₄×C₁₃₉	—	4	8	no	—
434	D₄×C₁₃₉	—	4	8	no	—
435	D₄×C₁₃₉	—	8	4	no	—
436	D₄×C₁₃₉	—	8	2	no	—
437	D₄×C₁₃₉	—	8	4	no	—
438	D₄×C₁₃₉	—	8	4	no	—
439	C₂×C₄×C₁₃₉	—	2	2	no	—
440	C₂×C₄×C₁₃₉	—	2	2	no	—
441	C₂×C₄×C₁₃₉	—	2	2	no	—
442	C₂×C₄×C₁₃₉	—	2	2	no	—
443	C₂×C₄×C₁₃₉	—	2	2	no	—
444	C₂×C₄×C₁₃₉	—	2	2	no	—
445	C₂×C₄×C₁₃₉	—	2	2	no	—
446	C₂×C₄×C₁₃₉	—	2	2	no	—
447	C₂×C₄×C₁₃₉	—	2	2	no	—
448	C₂×C₄×C₁₃₉	—	2	2	no	—
449	C₂×C₄×C₁₃₉	—	2	2	no	—
450	C₂×C₄×C₁₃₉	—	2	2	no	—
451	C₂×C₄×C₁₃₉	—	2	2	no	—
452	C₂×C₄×C₁₃₉	—	2	2	no	—
453	C₂×C₄×C₁₃₉	—	2	1	no	—
454	C₂×C₄×C₁₃₉	—	2	1	no	—
455	C₂×C₄×C₁₃₉	—	2	2	no	—
456	C₂×C₄×C₁₃₉	—	2	2	no	—
457	C₂×C₄×C₁₃₉	—	2	2	no	—
458	C₂×C₄×C₁₃₉	—	2	2	no	—
459	C₂×C₄×C₁₃₉	—	2	2	no	—
460	C₂×C₄×C₁₃₉	—	2	2	no	—
461	C₂×C₄×C₁₃₉	—	2	2	no	—
462	C₂×C₄×C₁₃₉	—	2	2	no	—
463	C₂×C₄×C₁₃₉	—	2	2	no	—
464	C₂×C₄×C₁₃₉	—	2	2	no	—
465	C₂×C₄×C₁₃₉	—	2	2	no	—
466	C₂×C₄×C₁₃₉	—	2	2	no	—
467	C₂×C₄×C₁₃₉	—	2	2	no	—
468	C₂×C₄×C₁₃₉	—	4	8	no	—
469	C₂×C₄×C₁₃₉	—	4	4	no	—
470	C₂×C₄×C₁₃₉	—	4	8	no	—
471	C₂×C₄×C₁₃₉	—	4	8	no	—
472	C₂×C₄×C₁₃₉	—	4	8	no	—
473	C₂×C₄×C₁₃₉	—	8	4	no	—
474	C₂×C₄×C₁₃₉	—	8	4	no	—
475	C₂×C₄×C₁₃₉	—	8	2	no	—
476	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
477	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
478	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
479	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
480	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
481	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	4	yes	—
482	C₂²×C₁₃₉	—	2	4	no	—
483	C₂²×C₁₃₉	—	2	2	no	—
484	C₂²×C₁₃₉	—	2	2	no	—
485	C₂²×C₁₃₉	—	2	4	no	—
486	C₂²×C₁₃₉	—	2	2	no	—
487	C₂²×C₁₃₉	—	2	2	no	—
488	C₂²×C₁₃₉	—	2	4	no	—
489	C₂²×C₁₃₉	—	2	4	no	—
490	C₂²×C₁₃₉	—	2	4	no	—
491	C₂²×C₁₃₉	—	2	4	no	—
492	C₂²×C₁₃₉	—	2	4	no	—
493	C₂²×C₁₃₉	—	4	2	no	—
494	C₂²×C₁₃₉	—	4	2	no	—
495	C₂²×C₁₃₉	—	4	1	no	—
496	C₂²×C₁₃₉	—	4	1	no	—
497	C₂²×C₁₃₉	—	4	1	no	—
498	C₂²×C₁₃₉	—	4	1	no	—
499	C₂²×C₁₃₉	—	4	2	no	—
500	C₂²×C₁₃₉	—	4	2	no	—
501	C₂²×C₁₃₉	—	4	2	no	—
502	C₂²×C₁₃₉	—	4	2	no	—
503	C₂²×C₁₃₉	—	4	2	no	—
504	C₂²×C₁₃₉	—	4	2	no	—
505	C₂²×C₁₃₉	—	4	2	no	—
506	C₂²×C₁₃₉	—	4	2	no	—
507	C₂²×C₁₃₉	—	4	2	no	—
508	C₂²×C₁₃₉	—	4	2	no	—
509	C₂²×C₁₃₉	—	4	2	no	—
510	C₂²×C₁₃₉	—	4	2	no	—
511	C₂²×C₁₃₉	—	4	2	no	—
512	C₂²×C₁₃₉	—	4	2	no	—
513	C₂²×C₁₃₉	—	4	2	no	—
514	C₂²×C₁₃₉	—	4	2	no	—
515	C₂²×C₁₃₉	—	4	2	no	—
516	C₂²×C₁₃₉	—	4	2	no	—
517	C₂²×C₁₃₉	—	8	8	no	—
518	C₂²×C₁₃₉	—	8	16	no	—
519	C₂²×C₁₃₉	#532	1	4	yes	—
520	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
521	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
522	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
523	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	2	yes	—
524	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	2	yes	—
525	C₄×C₁₃₉	—	2	4	no	—
526	C₄×C₁₃₉	—	2	4	no	—
527	C₄×C₁₃₉	—	2	4	no	—
528	C₄×C₁₃₉	—	2	2	no	—
529	C₄×C₁₃₉	—	2	2	no	—
530	C₄×C₁₃₉	—	2	4	no	—
531	C₄×C₁₃₉	—	4	2	no	—
532	C₄×C₁₃₉	—	4	2	no	—
533	C₄×C₁₃₉	—	4	2	no	—
534	C₄×C₁₃₉	—	4	2	no	—
535	C₄×C₁₃₉	—	4	1	no	—
536	C₄×C₁₃₉	—	4	1	no	—
537	C₄×C₁₃₉	—	4	2	no	—
538	C₂×C₁₃₉	—	2	4	no	—
539	C₂×C₁₃₉	—	4	2	no	—
540	C₂×C₁₃₉	—	4	2	no	—
541	C₂×C₁₃₉	—	4	4	no	—
542	C₂×C₁₃₉	—	8	2	no	—
543	C₂×C₁₃₉	—	8	2	no	—
544	C₂×C₁₃₉	C₂×#532	1	1	yes	characteristic
545	C₂×C₁₃₉	#3484	1	2	yes	—
546	C₂×C₁₃₉	#3490	1	1	yes	characteristic
547	C₂×C₁₃₉	#3508	1	1	yes	characteristic
548	C₂×C₁₃₉	#3519	1	2	yes	—
549	#35694	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
550	C₁₃₉	#35694	1	1	yes	characteristic, direct product factor, Sylow
551	C₂×#546	C₂×C₁₃₉	1	2	yes	complemented
552	#2661	C₂×C₁₃₉	1	2	yes	complemented
553	#2617	C₂×C₁₃₉	1	1	yes	characteristic, complemented
554	#2602	C₂×C₁₃₉	1	2	yes	complemented
555	#2557	C₂×C₁₃₉	1	2	yes	complemented
556	#2555	C₂×C₁₃₉	1	2	yes	complemented
557	#2549	C₂×C₁₃₉	1	1	yes	characteristic, complemented
558	#2472	C₂×C₁₃₉	1	2	yes	complemented
559	#2464	C₂×C₁₃₉	1	2	yes	complemented
560	#2433	C₂×C₁₃₉	1	1	yes	characteristic, complemented
561	#2431	C₂×C₁₃₉	1	2	yes	complemented
562	#2428	C₂×C₁₃₉	1	2	yes	complemented
563	#2410	C₂×C₁₃₉	1	2	yes	complemented
564	#2388	C₂×C₁₃₉	1	2	yes	complemented
565	C₂×#392	C₂×C₁₃₉	1	1	yes	characteristic, complemented
566	#2364	C₂×C₁₃₉	1	1	yes	characteristic, complemented
567	#2358	C₂×C₁₃₉	1	2	yes	complemented
568	D₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
569	#2273	C₂×C₁₃₉	1	1	yes	characteristic, complemented
570	C₂²×#41	C₂²×C₁₃₉	1	2	yes	complemented
571	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
572	C₂³×D₄	C₂²×C₁₃₉	1	2	yes	—
573	#546	—	2	16	no	—
574	C₂×#127	C₂²×C₁₃₉	1	2	yes	complemented
575	C₂×#124	C₂²×C₁₃₉	1	2	yes	complemented
576	C₂×#124	C₂²×C₁₃₉	1	2	yes	complemented
577	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
578	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
579	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
580	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
581	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
582	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
583	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
584	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
585	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
586	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
587	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
588	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
589	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
590	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
591	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
592	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
593	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
594	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
595	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
596	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
597	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
598	#398	C₂²×C₁₃₉	1	2	yes	complemented
599	#397	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
600	#397	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
601	#397	C₂²×C₁₃₉	1	2	yes	complemented
602	#395	C₂²×C₁₃₉	1	2	yes	complemented
603	#394	C₂²×C₁₃₉	1	2	yes	complemented
604	#394	C₂²×C₁₃₉	1	2	yes	complemented
605	#394	C₂²×C₁₃₉	1	2	yes	complemented
606	#394	C₂²×C₁₃₉	1	2	yes	complemented
607	#394	C₂²×C₁₃₉	1	2	yes	complemented
608	#394	C₂²×C₁₃₉	1	2	yes	complemented
609	#393	C₂²×C₁₃₉	1	2	yes	complemented
610	#392	C₂²×C₁₃₉	1	2	yes	—
611	#392	C₂²×C₁₃₉	1	1	yes	characteristic
612	#392	C₂²×C₁₃₉	1	1	yes	characteristic
613	#392	C₂²×C₁₃₉	1	2	yes	—
614	#392	C₂²×C₁₃₉	1	1	yes	characteristic
615	#392	C₂²×C₁₃₉	1	1	yes	characteristic
616	#392	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
617	#392	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
618	#392	C₂²×C₁₃₉	1	2	yes	complemented
619	#392	C₂²×C₁₃₉	1	2	yes	complemented
620	#392	C₂²×C₁₃₉	1	2	yes	complemented
621	#392	C₂²×C₁₃₉	1	2	yes	complemented
622	#391	C₂²×C₁₃₉	1	2	yes	complemented
623	#390	C₂²×C₁₃₉	1	2	yes	complemented
624	#390	C₂²×C₁₃₉	1	2	yes	complemented
625	#390	C₂²×C₁₃₉	1	2	yes	complemented
626	#390	C₂²×C₁₃₉	1	2	yes	complemented
627	#389	C₂²×C₁₃₉	1	2	yes	complemented
628	#388	C₂²×C₁₃₉	1	2	yes	complemented
629	#388	C₂²×C₁₃₉	1	2	yes	complemented
630	#388	C₂²×C₁₃₉	1	2	yes	complemented
631	#388	C₂²×C₁₃₉	1	2	yes	complemented
632	#388	C₂²×C₁₃₉	1	2	yes	complemented
633	#387	C₂²×C₁₃₉	1	2	yes	complemented
634	#386	C₂²×C₁₃₉	1	2	yes	—
635	#386	C₂²×C₁₃₉	1	2	yes	—
636	#386	C₂²×C₁₃₉	1	2	yes	complemented
637	#386	C₂²×C₁₃₉	1	2	yes	complemented
638	#386	C₂²×C₁₃₉	1	2	yes	complemented
639	#386	C₂²×C₁₃₉	1	2	yes	complemented
640	#386	C₂²×C₁₃₉	1	2	yes	complemented
641	#386	C₂²×C₁₃₉	1	2	yes	complemented
642	#386	C₂²×C₁₃₉	1	2	yes	complemented
643	#385	C₂²×C₁₃₉	1	2	yes	—
644	#385	C₂²×C₁₃₉	1	2	yes	complemented
645	#380	C₂²×C₁₃₉	1	1	yes	characteristic
646	#379	C₂²×C₁₃₉	1	2	yes	—
647	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
648	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
649	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
650	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
651	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
652	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
653	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
654	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
655	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
656	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
657	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
658	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
659	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
660	C₂×#41	—	2	8	no	—
661	C₂×#41	—	4	4	no	—
662	C₂×#41	—	4	4	no	—
663	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
664	C₂²×D₄	—	2	8	no	—
665	C₂²×D₄	—	2	4	no	—
666	C₂²×D₄	—	4	4	no	—
667	C₂²×D₄	—	4	4	no	—
668	C₂²×D₄	—	4	4	no	—
669	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
670	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
671	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
672	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
673	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
674	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
675	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
676	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
677	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
678	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
679	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
680	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
681	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
682	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
683	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
684	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
685	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
686	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
687	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
688	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
689	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
690	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
691	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
692	#127	—	4	4	no	—
693	#124	—	2	8	no	—
694	#124	—	4	4	no	—
695	#123	—	2	8	no	—
696	#123	—	2	8	no	—
697	C₂²⋊Q₈	—	2	8	no	—
698	#121	—	2	8	no	—
699	#121	—	2	4	no	—
700	#121	—	2	8	no	—
701	#121	—	2	8	no	—
702	#121	—	4	4	no	—
703	#121	—	4	4	no	—
704	#120	—	2	8	no	—
705	#120	—	2	8	no	—
706	#120	—	2	8	no	—
707	C₄×D₄	—	2	8	no	—
708	C₄×D₄	—	2	8	no	—
709	C₄×D₄	—	4	4	no	—
710	C₄×D₄	—	4	4	no	—
711	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
712	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
713	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
714	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
715	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
716	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
717	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
718	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
719	C₂×C₂²⋊C₄	—	2	4	no	—
720	C₂×C₂²⋊C₄	—	2	8	no	—
721	C₂×C₂²⋊C₄	—	2	4	no	—
722	C₂×C₂²⋊C₄	—	4	4	no	—
723	C₂×C₂²⋊C₄	D₄×C₁₃₉	1	8	yes	complemented
724	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
725	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
726	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
727	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
728	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
729	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
730	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
731	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
732	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
733	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
734	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
735	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
736	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
737	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
738	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
739	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
740	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
741	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
742	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
743	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
744	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
745	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
746	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
747	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
748	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
749	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
750	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
751	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
752	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
753	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
754	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
755	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
756	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
757	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
758	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
759	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
760	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
761	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
762	#95	C₂³×C₁₃₉	1	1	yes	characteristic
763	#95	C₂³×C₁₃₉	1	2	yes	—
764	#95	C₂³×C₁₃₉	1	1	yes	characteristic
765	#95	C₂³×C₁₃₉	1	2	yes	—
766	#95	C₂³×C₁₃₉	1	2	yes	—
767	#95	C₂³×C₁₃₉	1	2	yes	—
768	#95	C₂³×C₁₃₉	1	2	yes	—
769	#95	C₂³×C₁₃₉	1	2	yes	—
770	#95	C₂³×C₁₃₉	1	2	yes	—
771	#95	C₂³×C₁₃₉	1	2	yes	—
772	#95	C₂³×C₁₃₉	1	1	yes	characteristic
773	#95	C₂³×C₁₃₉	1	1	yes	characteristic
774	#95	C₂³×C₁₃₉	1	2	yes	—
775	#95	C₂³×C₁₃₉	1	2	yes	—
776	#95	C₂³×C₁₃₉	1	2	yes	—
777	C₂⁴	—	2	2	no	—
778	C₂⁴	—	2	2	no	—
779	C₂⁴	—	2	4	no	—
780	C₂⁴	—	2	4	no	—
781	C₂⁴	—	2	4	no	—
782	C₂⁴	—	2	4	no	—
783	C₂⁴	—	4	2	no	—
784	C₂⁴	—	4	2	no	—
785	C₂⁴	—	4	2	no	—
786	C₂⁴	—	4	2	no	—
787	C₂⁴	—	4	2	no	—
788	C₂⁴	C₂×D₄×C₁₃₉	1	4	yes	—
789	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
790	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
791	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
792	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
793	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
794	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
795	#41	—	4	32	no	—
796	C₂×Q₈	—	2	4	no	—
797	C₂×Q₈	—	2	4	no	—
798	C₂×Q₈	—	4	2	no	—
799	C₂×D₄	—	2	4	no	—
800	C₂×D₄	—	2	4	no	—
801	C₂×D₄	—	2	4	no	—
802	C₂×D₄	—	2	4	no	—
803	C₂×D₄	—	2	4	no	—
804	C₂×D₄	—	2	4	no	—
805	C₂×D₄	—	2	4	no	—
806	C₂×D₄	—	2	4	no	—
807	C₂×D₄	—	2	4	no	—
808	C₂×D₄	—	2	4	no	—
809	C₂×D₄	—	2	4	no	—
810	C₂×D₄	—	2	4	no	—
811	C₂×D₄	—	2	4	no	—
812	C₂×D₄	—	2	4	no	—
813	C₂×D₄	—	2	4	no	—
814	C₂×D₄	—	2	4	no	—
815	C₂×D₄	—	2	4	no	—
816	C₂×D₄	—	2	2	no	—
817	C₂×D₄	—	2	4	no	—
818	C₂×D₄	—	2	2	no	—
819	C₂×D₄	—	2	4	no	—
820	C₂×D₄	—	2	4	no	—
821	C₂×D₄	—	2	2	no	—
822	C₂×D₄	—	2	4	no	—
823	C₂×D₄	—	2	4	no	—
824	C₂×D₄	—	4	2	no	—
825	C₂×D₄	—	4	2	no	—
826	C₂×D₄	—	4	2	no	—
827	C₂×D₄	—	4	2	no	—
828	C₂×D₄	—	4	2	no	—
829	C₂×D₄	—	4	2	no	—
830	C₂×D₄	—	4	2	no	—
831	C₂×D₄	—	4	2	no	—
832	C₂×D₄	—	4	2	no	—
833	C₂×D₄	—	4	2	no	—
834	C₂×D₄	—	4	2	no	—
835	C₂×D₄	—	4	2	no	—
836	C₂×D₄	—	4	2	no	—
837	C₂×D₄	—	4	2	no	—
838	C₂×D₄	—	4	2	no	—
839	C₂×D₄	—	4	2	no	—
840	C₂×D₄	—	4	2	no	—
841	C₂×D₄	—	4	16	no	—
842	C₂×D₄	—	4	32	no	—
843	C₂²×C₄	—	2	4	no	—
844	C₂²×C₄	—	2	4	no	—
845	C₂²×C₄	—	2	2	no	—
846	C₂²×C₄	—	2	4	no	—
847	C₂²×C₄	—	2	4	no	—
848	C₂²×C₄	—	2	4	no	—
849	C₂²×C₄	—	2	4	no	—
850	C₂²×C₄	—	2	4	no	—
851	C₂²×C₄	—	2	4	no	—
852	C₂²×C₄	—	4	2	no	—
853	C₂²×C₄	—	4	2	no	—
854	C₂²×C₄	—	4	2	no	—
855	C₂²×C₄	—	4	2	no	—
856	C₂²×C₄	—	4	2	no	—
857	C₂²×C₄	—	4	2	no	—
858	C₂²×C₄	—	4	2	no	—
859	C₂²×C₄	—	4	2	no	—
860	C₂²×C₄	—	4	2	no	—
861	C₂²×C₄	—	4	2	no	—
862	C₂²×C₄	—	4	2	no	—
863	C₂²×C₄	C₂×D₄×C₁₃₉	1	8	yes	complemented
864	C₂²×C₄	#41×C₁₃₉	1	4	yes	complemented
865	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
866	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
867	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
868	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
869	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
870	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
871	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
872	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
873	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
874	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
875	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
876	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
877	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
878	C₄⋊C₄	—	2	4	no	—
879	C₄⋊C₄	—	2	4	no	—
880	C₄⋊C₄	—	2	4	no	—
881	C₄⋊C₄	—	2	4	no	—
882	C₄⋊C₄	—	2	2	no	—
883	C₄⋊C₄	—	2	4	no	—
884	C₄⋊C₄	—	4	2	no	—
885	C₄⋊C₄	—	4	2	no	—
886	C₂²⋊C₄	—	2	4	no	—
887	C₂²⋊C₄	—	2	4	no	—
888	C₂²⋊C₄	—	2	4	no	—
889	C₂²⋊C₄	—	2	2	no	—
890	C₂²⋊C₄	—	2	4	no	—
891	C₂²⋊C₄	—	2	4	no	—
892	C₂²⋊C₄	—	2	4	no	—
893	C₂²⋊C₄	—	2	4	no	—
894	C₂²⋊C₄	—	2	4	no	—
895	C₂²⋊C₄	—	2	4	no	—
896	C₂²⋊C₄	—	2	2	no	—
897	C₂²⋊C₄	—	2	2	no	—
898	C₂²⋊C₄	—	2	4	no	—
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	2	2	no	—
901	C₂²⋊C₄	—	2	4	no	—
902	C₂²⋊C₄	—	2	4	no	—
903	C₂²⋊C₄	—	2	4	no	—
904	C₂²⋊C₄	—	2	4	no	—
905	C₂²⋊C₄	—	2	4	no	—
906	C₂²⋊C₄	—	2	4	no	—
907	C₂²⋊C₄	—	4	2	no	—
908	C₂²⋊C₄	—	4	2	no	—
909	C₂²⋊C₄	—	4	2	no	—
910	C₂²⋊C₄	—	4	2	no	—
911	C₂²⋊C₄	—	4	2	no	—
912	C₂²⋊C₄	—	4	2	no	—
913	C₂²⋊C₄	—	4	2	no	—
914	C₂²⋊C₄	—	4	2	no	—
915	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
916	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
917	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	complemented
918	C₂²⋊C₄	#41×C₁₃₉	1	4	yes	complemented
919	C₄²	—	2	4	no	—
920	C₄²	—	4	2	no	—
921	C₄²	—	4	2	no	—
922	C₄²	—	4	2	no	—
923	C₄²	—	4	2	no	—
924	C₂³	—	2	2	no	—
925	C₂³	—	2	2	no	—
926	C₂³	—	2	2	no	—
927	C₂³	—	2	1	no	—
928	C₂³	—	2	1	no	—
929	C₂³	—	2	1	no	—
930	C₂³	—	2	2	no	—
931	C₂³	—	2	1	no	—
932	C₂³	—	2	2	no	—
933	C₂³	—	2	2	no	—
934	C₂³	—	2	2	no	—
935	C₂³	—	2	2	no	—
936	C₂³	—	2	2	no	—
937	C₂³	—	2	2	no	—
938	C₂³	—	2	2	no	—
939	C₂³	—	2	2	no	—
940	C₂³	—	2	8	no	—
941	C₂³	—	2	2	no	—
942	C₂³	—	2	2	no	—
943	C₂³	—	2	2	no	—
944	C₂³	—	2	2	no	—
945	C₂³	—	2	2	no	—
946	C₂³	—	2	2	no	—
947	C₂³	—	2	2	no	—
948	C₂³	—	2	2	no	—
949	C₂³	—	2	2	no	—
950	C₂³	—	2	2	no	—
951	C₂³	—	2	2	no	—
952	C₂³	—	2	2	no	—
953	C₂³	—	2	2	no	—
954	C₂³	—	2	2	no	—
955	C₂³	—	4	8	no	—
956	C₂³	—	4	8	no	—
957	C₂³	—	4	8	no	—
958	C₂³	—	4	8	no	—
959	C₂³	—	4	8	no	—
960	C₂³	—	8	4	no	—
961	C₂³	—	8	2	no	—
962	C₂³	—	8	2	no	—
963	C₂³	—	8	4	no	—
964	C₂³	—	8	4	no	—
965	C₂³	—	8	4	no	—
966	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
967	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
968	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
969	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
970	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
971	C₂³	H(5,𝔽₂)×C₁₃₉	1	4	yes	—
972	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
973	Q₈	—	4	8	no	—
974	D₄	—	2	16	no	—
975	D₄	—	2	8	no	—
976	D₄	—	4	8	no	—
977	D₄	—	4	8	no	—
978	D₄	—	4	8	no	—
979	D₄	—	4	8	no	—
980	D₄	—	4	4	no	—
981	D₄	—	4	8	no	—
982	D₄	—	4	8	no	—
983	D₄	—	4	8	no	—
984	D₄	—	4	8	no	—
985	D₄	—	8	4	no	—
986	D₄	—	8	2	no	—
987	D₄	—	8	4	no	—
988	D₄	—	8	4	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	2	no	—
991	C₂×C₄	—	2	2	no	—
992	C₂×C₄	—	2	2	no	—
993	C₂×C₄	—	2	2	no	—
994	C₂×C₄	—	2	2	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	2	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	2	2	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	2	2	no	—
1010	C₂×C₄	—	2	2	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	2	2	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	2	2	no	—
1018	C₂×C₄	—	4	8	no	—
1019	C₂×C₄	—	4	4	no	—
1020	C₂×C₄	—	4	8	no	—
1021	C₂×C₄	—	4	8	no	—
1022	C₂×C₄	—	4	8	no	—
1023	C₂×C₄	—	8	4	no	—
1024	C₂×C₄	—	8	4	no	—
1025	C₂×C₄	—	8	2	no	—
1026	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
1027	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
1028	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1029	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
1030	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1031	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	4	yes	—
1032	C₂²	—	2	4	no	—
1033	C₂²	—	2	2	no	—
1034	C₂²	—	2	2	no	—
1035	C₂²	—	2	4	no	—
1036	C₂²	—	2	2	no	—
1037	C₂²	—	2	2	no	—
1038	C₂²	—	2	4	no	—
1039	C₂²	—	2	4	no	—
1040	C₂²	—	2	4	no	—
1041	C₂²	—	2	4	no	—
1042	C₂²	—	2	4	no	—
1043	C₂²	—	4	2	no	—
1044	C₂²	—	4	2	no	—
1045	C₂²	—	4	1	no	—
1046	C₂²	—	4	1	no	—
1047	C₂²	—	4	1	no	—
1048	C₂²	—	4	1	no	—
1049	C₂²	—	4	2	no	—
1050	C₂²	—	4	2	no	—
1051	C₂²	—	4	2	no	—
1052	C₂²	—	4	2	no	—
1053	C₂²	—	4	2	no	—
1054	C₂²	—	4	2	no	—
1055	C₂²	—	4	2	no	—
1056	C₂²	—	4	2	no	—
1057	C₂²	—	4	2	no	—
1058	C₂²	—	4	2	no	—
1059	C₂²	—	4	2	no	—
1060	C₂²	—	4	2	no	—
1061	C₂²	—	4	2	no	—
1062	C₂²	—	4	2	no	—
1063	C₂²	—	4	2	no	—
1064	C₂²	—	4	2	no	—
1065	C₂²	—	4	2	no	—
1066	C₂²	—	4	2	no	—
1067	C₂²	—	8	8	no	—
1068	C₂²	—	8	16	no	—
1069	C₂²	#532×C₁₃₉	1	4	yes	—
1070	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1071	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1072	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1073	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1074	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1075	C₄	—	2	4	no	—
1076	C₄	—	2	4	no	—
1077	C₄	—	2	4	no	—
1078	C₄	—	2	2	no	—
1079	C₄	—	2	2	no	—
1080	C₄	—	2	4	no	—
1081	C₄	—	4	2	no	—
1082	C₄	—	4	2	no	—
1083	C₄	—	4	2	no	—
1084	C₄	—	4	2	no	—
1085	C₄	—	4	1	no	—
1086	C₄	—	4	1	no	—
1087	C₄	—	4	2	no	—
1088	C₂	—	2	4	no	—
1089	C₂	—	4	2	no	—
1090	C₂	—	4	2	no	—
1091	C₂	—	4	4	no	—
1092	C₂	—	8	2	no	—
1093	C₂	—	8	2	no	—
1094	C₂	C₂×#532×C₁₃₉	1	1	yes	characteristic
1095	C₂	#3484×C₁₃₉	1	2	yes	—
1096	C₂	#3490×C₁₃₉	1	1	yes	characteristic
1097	C₂	#3508×C₁₃₉	1	1	yes	characteristic
1098	C₂	#3519×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. #2661×C₁₃₉	C₂	semidirect
3. #2617×C₁₃₉	C₂	semidirect
4. #2602×C₁₃₉	C₂	semidirect
5. #2557×C₁₃₉	C₂	semidirect
6. #2555×C₁₃₉	C₂	semidirect
7. #2549×C₁₃₉	C₂	semidirect
8. #2472×C₁₃₉	C₂	semidirect
9. #2464×C₁₃₉	C₂	semidirect
10. #2433×C₁₃₉	C₂	semidirect
11. #2431×C₁₃₉	C₂	semidirect
12. #2428×C₁₃₉	C₂	semidirect
13. #2410×C₁₃₉	C₂	semidirect
14. #2388×C₁₃₉	C₂	semidirect
15. C₂×#392×C₁₃₉	C₂	semidirect
16. #2364×C₁₃₉	C₂	semidirect
17. #2358×C₁₃₉	C₂	semidirect
18. D₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
19. #2273×C₁₃₉	C₂	semidirect
20. C₂²×#41×C₁₃₉	C₂²	semidirect
24. C₂×#127×C₁₃₉	C₂²	semidirect
25. C₂×#124×C₁₃₉	C₂²	semidirect
26. C₂×#124×C₁₃₉	C₂²	semidirect
27. C₂×#123×C₁₃₉	C₂²	semidirect
28. C₂×#123×C₁₃₉	C₂²	semidirect
31. C₂×#121×C₁₃₉	C₂²	semidirect
32. C₂×#121×C₁₃₉	C₂²	semidirect
33. C₂×#121×C₁₃₉	C₂²	semidirect
34. C₂×#121×C₁₃₉	C₂²	semidirect
35. C₂×#121×C₁₃₉	C₂²	semidirect
40. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
41. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
42. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
48. #398×C₁₃₉	C₂²	semidirect
49. #397×C₁₃₉	C₂²	semidirect
50. #397×C₁₃₉	C₂²	semidirect
51. #397×C₁₃₉	C₂²	semidirect
52. #395×C₁₃₉	C₂²	semidirect
53. #394×C₁₃₉	C₂²	semidirect
54. #394×C₁₃₉	C₂²	semidirect
55. #394×C₁₃₉	C₂²	semidirect
56. #394×C₁₃₉	C₂²	semidirect
57. #394×C₁₃₉	C₂²	semidirect
58. #394×C₁₃₉	C₂²	semidirect
59. #393×C₁₃₉	C₂²	semidirect
66. #392×C₁₃₉	C₂²	semidirect
67. #392×C₁₃₉	C₂²	semidirect
68. #392×C₁₃₉	C₂²	semidirect
69. #392×C₁₃₉	C₂²	semidirect
70. #392×C₁₃₉	C₂²	semidirect
71. #392×C₁₃₉	C₂²	semidirect
72. #391×C₁₃₉	C₂²	semidirect
73. #390×C₁₃₉	C₂²	semidirect
74. #390×C₁₃₉	C₂²	semidirect
75. #390×C₁₃₉	C₂²	semidirect
76. #390×C₁₃₉	C₂²	semidirect
77. #389×C₁₃₉	C₂²	semidirect
78. #388×C₁₃₉	C₂²	semidirect
79. #388×C₁₃₉	C₂²	semidirect
80. #388×C₁₃₉	C₂²	semidirect
81. #388×C₁₃₉	C₂²	semidirect
82. #388×C₁₃₉	C₂²	semidirect
83. #387×C₁₃₉	C₂²	semidirect
86. #386×C₁₃₉	C₂²	semidirect
87. #386×C₁₃₉	C₂²	semidirect
88. #386×C₁₃₉	C₂²	semidirect
89. #386×C₁₃₉	C₂²	semidirect
90. #386×C₁₃₉	C₂²	semidirect
91. #386×C₁₃₉	C₂²	semidirect
92. #386×C₁₃₉	C₂²	semidirect
94. #385×C₁₃₉	C₂²	semidirect
101. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
102. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
103. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
104. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
105. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
106. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
173. C₂×C₂²⋊C₄×C₁₃₉	D₄	semidirect
313. C₂²×C₄×C₁₃₉	C₂×D₄	semidirect
314. C₂²×C₄×C₁₃₉	#41	semidirect
367. C₂²⋊C₄×C₁₃₉	C₂×D₄	semidirect
368. C₂²⋊C₄×C₁₃₉	#41	semidirect
549. #35694	C₁₃₉	direct (N × H)
550. C₁₃₉	#35694	direct (N × H)
551. C₂×#546	C₂×C₁₃₉	semidirect
552. #2661	C₂×C₁₃₉	semidirect
553. #2617	C₂×C₁₃₉	semidirect
554. #2602	C₂×C₁₃₉	semidirect
555. #2557	C₂×C₁₃₉	semidirect
556. #2555	C₂×C₁₃₉	semidirect
557. #2549	C₂×C₁₃₉	semidirect
558. #2472	C₂×C₁₃₉	semidirect
559. #2464	C₂×C₁₃₉	semidirect
560. #2433	C₂×C₁₃₉	semidirect
561. #2431	C₂×C₁₃₉	semidirect
562. #2428	C₂×C₁₃₉	semidirect
563. #2410	C₂×C₁₃₉	semidirect
564. #2388	C₂×C₁₃₉	semidirect
565. C₂×#392	C₂×C₁₃₉	semidirect
566. #2364	C₂×C₁₃₉	semidirect
567. #2358	C₂×C₁₃₉	semidirect
568. D₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
569. #2273	C₂×C₁₃₉	semidirect
570. C₂²×#41	C₂²×C₁₃₉	semidirect
574. C₂×#127	C₂²×C₁₃₉	semidirect
575. C₂×#124	C₂²×C₁₃₉	semidirect
576. C₂×#124	C₂²×C₁₃₉	semidirect
577. C₂×#123	C₂²×C₁₃₉	semidirect
578. C₂×#123	C₂²×C₁₃₉	semidirect
581. C₂×#121	C₂²×C₁₃₉	semidirect
582. C₂×#121	C₂²×C₁₃₉	semidirect
583. C₂×#121	C₂²×C₁₃₉	semidirect
584. C₂×#121	C₂²×C₁₃₉	semidirect
585. C₂×#121	C₂²×C₁₃₉	semidirect
590. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
591. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
592. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
598. #398	C₂²×C₁₃₉	semidirect
599. #397	C₂²×C₁₃₉	semidirect
600. #397	C₂²×C₁₃₉	semidirect
601. #397	C₂²×C₁₃₉	semidirect
602. #395	C₂²×C₁₃₉	semidirect
603. #394	C₂²×C₁₃₉	semidirect
604. #394	C₂²×C₁₃₉	semidirect
605. #394	C₂²×C₁₃₉	semidirect
606. #394	C₂²×C₁₃₉	semidirect
607. #394	C₂²×C₁₃₉	semidirect
608. #394	C₂²×C₁₃₉	semidirect
609. #393	C₂²×C₁₃₉	semidirect
616. #392	C₂²×C₁₃₉	semidirect
617. #392	C₂²×C₁₃₉	semidirect
618. #392	C₂²×C₁₃₉	semidirect
619. #392	C₂²×C₁₃₉	semidirect
620. #392	C₂²×C₁₃₉	semidirect
621. #392	C₂²×C₁₃₉	semidirect
622. #391	C₂²×C₁₃₉	semidirect
623. #390	C₂²×C₁₃₉	semidirect
624. #390	C₂²×C₁₃₉	semidirect
625. #390	C₂²×C₁₃₉	semidirect
626. #390	C₂²×C₁₃₉	semidirect
627. #389	C₂²×C₁₃₉	semidirect
628. #388	C₂²×C₁₃₉	semidirect
629. #388	C₂²×C₁₃₉	semidirect
630. #388	C₂²×C₁₃₉	semidirect
631. #388	C₂²×C₁₃₉	semidirect
632. #388	C₂²×C₁₃₉	semidirect
633. #387	C₂²×C₁₃₉	semidirect
636. #386	C₂²×C₁₃₉	semidirect
637. #386	C₂²×C₁₃₉	semidirect
638. #386	C₂²×C₁₃₉	semidirect
639. #386	C₂²×C₁₃₉	semidirect
640. #386	C₂²×C₁₃₉	semidirect
641. #386	C₂²×C₁₃₉	semidirect
642. #386	C₂²×C₁₃₉	semidirect
644. #385	C₂²×C₁₃₉	semidirect
651. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
652. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
653. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
654. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
655. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
656. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
723. C₂×C₂²⋊C₄	D₄×C₁₃₉	semidirect
863. C₂²×C₄	C₂×D₄×C₁₃₉	semidirect
864. C₂²×C₄	#41×C₁₃₉	semidirect
917. C₂²⋊C₄	C₂×D₄×C₁₃₉	semidirect
918. C₂²⋊C₄	#41×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#546×C₁₃₉	2
#2661×C₁₃₉	2
#2617×C₁₃₉	2
#2602×C₁₃₉	2
#2557×C₁₃₉	2
#2555×C₁₃₉	2
#2549×C₁₃₉	2
#2472×C₁₃₉	2
#2464×C₁₃₉	2
#2433×C₁₃₉	2
#2431×C₁₃₉	2
#2428×C₁₃₉	2
#2410×C₁₃₉	2
#2388×C₁₃₉	2
C₂×#392×C₁₃₉	2
#2364×C₁₃₉	2
#2358×C₁₃₉	2
D₄×C₂²⋊C₄×C₁₃₉	2
#2273×C₁₃₉	2
#35694	139

Subgroups — C139×#35694 #48030290

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#35694 #48030290