Subgroups — C₁₃₉×#36360 #48030956

Order 35584.

2956 conjugacy classes of subgroups.

The subgroup lattice has 1248 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×C₄×#41×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2855×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2854×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2850×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2592×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2580×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2476×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2471×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2458×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2456×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2418×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2417×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2414×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2408×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2407×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2404×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	#2358×C₁₃₉	C₂	1	2	yes	maximal, complemented
19	#2352×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#2342×C₁₃₉	C₂	1	2	yes	maximal, complemented
21	C₄×#121×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	#2297×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#390×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic
25	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
27	#546×C₁₃₉	—	2	8	no	—
28	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
29	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
30	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
31	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
33	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
36	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
38	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
39	C₄×#41×C₁₃₉	—	2	8	no	—
40	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
50	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
51	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
52	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
53	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
54	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
55	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
56	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
57	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
58	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
59	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
60	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
61	#399×C₁₃₉	C₂²	1	2	yes	complemented
62	#398×C₁₃₉	C₂²	1	2	yes	complemented
63	#397×C₁₃₉	C₂²	1	2	yes	complemented
64	#396×C₁₃₉	C₂²	1	2	yes	complemented
65	#394×C₁₃₉	C₂²	1	2	yes	—
66	#394×C₁₃₉	C₂²	1	2	yes	complemented
67	#394×C₁₃₉	C₂²	1	2	yes	complemented
68	#393×C₁₃₉	C₂²	1	2	yes	complemented
69	#393×C₁₃₉	C₂²	1	2	yes	complemented
70	#392×C₁₃₉	C₂²	1	2	yes	—
71	#392×C₁₃₉	C₂²	1	2	yes	complemented
72	#392×C₁₃₉	C₂²	1	2	yes	complemented
73	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
74	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
75	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
76	#390×C₁₃₉	C₂²	1	1	yes	characteristic
77	#390×C₁₃₉	C₂²	1	1	yes	characteristic
78	#390×C₁₃₉	C₂²	1	1	yes	characteristic
79	#390×C₁₃₉	C₂²	1	1	yes	characteristic
80	#390×C₁₃₉	C₂²	1	2	yes	—
81	#390×C₁₃₉	C₂²	1	2	yes	—
82	#390×C₁₃₉	C₂²	1	1	yes	characteristic
83	#390×C₁₃₉	C₂²	1	1	yes	characteristic
84	#390×C₁₃₉	C₂²	1	2	yes	complemented
85	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
86	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
87	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
88	#388×C₁₃₉	C₂²	1	2	yes	complemented
89	#388×C₁₃₉	C₂²	1	2	yes	complemented
90	#388×C₁₃₉	C₂²	1	2	yes	complemented
91	#388×C₁₃₉	C₂²	1	2	yes	complemented
92	#388×C₁₃₉	C₂²	1	2	yes	complemented
93	#388×C₁₃₉	C₂²	1	2	yes	complemented
94	#388×C₁₃₉	C₂²	1	2	yes	complemented
95	#388×C₁₃₉	C₂²	1	2	yes	complemented
96	#388×C₁₃₉	C₂²	1	2	yes	complemented
97	#387×C₁₃₉	C₂²	1	2	yes	complemented
98	#387×C₁₃₉	C₂²	1	2	yes	complemented
99	#387×C₁₃₉	C₂²	1	2	yes	complemented
100	#386×C₁₃₉	C₂²	1	2	yes	—
101	#386×C₁₃₉	C₂²	1	2	yes	—
102	#386×C₁₃₉	C₂²	1	2	yes	complemented
103	#386×C₁₃₉	C₂²	1	2	yes	complemented
104	#386×C₁₃₉	C₂²	1	2	yes	complemented
105	#386×C₁₃₉	C₂²	1	2	yes	complemented
106	#386×C₁₃₉	C₂²	1	2	yes	complemented
107	#386×C₁₃₉	C₂²	1	2	yes	complemented
108	#386×C₁₃₉	C₂²	1	2	yes	complemented
109	#385×C₁₃₉	C₂²	1	2	yes	—
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	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
114	#381×C₁₃₉	C₂²	1	2	yes	—
115	#380×C₁₃₉	C₂²	1	2	yes	—
116	#380×C₁₃₉	C₂²	1	1	yes	characteristic
117	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
118	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
119	#379×C₁₃₉	C₂²	1	2	yes	—
120	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
121	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
122	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
123	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
124	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
125	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
126	C₂×#41×C₁₃₉	—	2	4	no	—
127	C₂×#41×C₁₃₉	—	2	4	no	—
128	C₂×#41×C₁₃₉	—	2	4	no	—
129	C₂×#41×C₁₃₉	—	2	4	no	—
130	C₂×#41×C₁₃₉	—	2	4	no	—
131	C₂×#41×C₁₃₉	—	4	2	no	—
132	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
133	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
134	C₂²×D₄×C₁₃₉	—	2	4	no	—
135	C₂²×D₄×C₁₃₉	—	2	4	no	—
136	C₂²×D₄×C₁₃₉	—	4	2	no	—
137	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
139	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
140	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
142	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
143	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
144	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
145	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
146	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
147	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
149	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
150	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
151	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
154	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
155	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
156	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
157	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
158	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
159	#124×C₁₃₉	—	2	4	no	—
160	#123×C₁₃₉	—	2	8	no	—
161	#123×C₁₃₉	—	4	4	no	—
162	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
163	C₂²⋊Q₈×C₁₃₉	—	4	2	no	—
164	#121×C₁₃₉	—	2	4	no	—
165	#121×C₁₃₉	—	2	4	no	—
166	#121×C₁₃₉	—	2	8	no	—
167	#121×C₁₃₉	—	4	2	no	—
168	#120×C₁₃₉	—	2	8	no	—
169	#120×C₁₃₉	—	2	8	no	—
170	C₄×Q₈×C₁₃₉	—	2	4	no	—
171	C₄×Q₈×C₁₃₉	—	2	4	no	—
172	C₄×D₄×C₁₃₉	—	2	4	no	—
173	C₄×D₄×C₁₃₉	—	2	4	no	—
174	C₄×D₄×C₁₃₉	—	2	4	no	—
175	C₄×D₄×C₁₃₉	—	2	4	no	—
176	C₄×D₄×C₁₃₉	—	2	4	no	—
177	C₄×D₄×C₁₃₉	—	2	4	no	—
178	C₄×D₄×C₁₃₉	—	4	4	no	—
179	C₄×D₄×C₁₃₉	D₄	1	8	yes	complemented
180	#117×C₁₃₉	—	2	4	no	—
181	#117×C₁₃₉	—	2	4	no	—
182	#117×C₁₃₉	—	2	4	no	—
183	#117×C₁₃₉	—	4	2	no	—
184	C₂×C₄⋊C₄×C₁₃₉	—	4	2	no	—
185	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
186	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
187	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
188	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
189	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
190	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
191	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
192	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
193	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
194	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
195	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
196	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
197	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
198	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
199	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
200	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
201	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
203	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
204	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
205	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
207	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
208	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
209	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
210	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
211	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
212	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
213	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
214	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
215	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
216	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
217	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
221	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
222	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
223	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
224	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
225	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
226	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
227	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
228	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
229	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
230	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
231	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
232	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
233	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₁₃₉	—	2	4	no	—
236	C₂×C₄²×C₁₃₉	—	2	4	no	—
237	C₂×C₄²×C₁₃₉	—	2	4	no	—
238	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
239	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
240	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
241	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
242	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
243	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
244	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
245	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
246	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
247	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
248	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
249	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
250	#95×C₁₃₉	C₂³	1	2	yes	—
251	#95×C₁₃₉	C₂³	1	2	yes	—
252	#95×C₁₃₉	C₂³	1	2	yes	—
253	#95×C₁₃₉	C₂³	1	2	yes	—
254	#95×C₁₃₉	C₂³	1	2	yes	—
255	#95×C₁₃₉	C₂³	1	2	yes	—
256	#95×C₁₃₉	C₂³	1	2	yes	—
257	#95×C₁₃₉	C₂³	1	2	yes	—
258	#95×C₁₃₉	C₂³	1	2	yes	—
259	#95×C₁₃₉	C₂³	1	2	yes	—
260	#95×C₁₃₉	C₂³	1	2	yes	—
261	#95×C₁₃₉	C₂³	1	2	yes	—
262	#95×C₁₃₉	C₂³	1	2	yes	—
263	#95×C₁₃₉	C₂³	1	2	yes	—
264	#95×C₁₃₉	C₂³	1	2	yes	—
265	C₂⁴×C₁₃₉	—	2	4	no	—
266	C₂⁴×C₁₃₉	—	2	4	no	—
267	C₂⁴×C₁₃₉	—	2	4	no	—
268	C₂⁴×C₁₃₉	—	2	4	no	—
269	C₂⁴×C₁₃₉	—	4	2	no	—
270	C₂⁴×C₁₃₉	—	4	2	no	—
271	C₂⁴×C₁₃₉	—	4	2	no	—
272	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
273	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
274	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
275	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
276	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
277	#41×C₁₃₉	—	2	32	no	—
278	#41×C₁₃₉	—	4	16	no	—
279	C₂×Q₈×C₁₃₉	—	2	2	no	—
280	C₂×Q₈×C₁₃₉	—	2	2	no	—
281	C₂×Q₈×C₁₃₉	—	2	2	no	—
282	C₂×Q₈×C₁₃₉	—	2	2	no	—
283	C₂×Q₈×C₁₃₉	—	2	2	no	—
284	C₂×Q₈×C₁₃₉	—	2	2	no	—
285	C₂×D₄×C₁₃₉	—	2	2	no	—
286	C₂×D₄×C₁₃₉	—	2	2	no	—
287	C₂×D₄×C₁₃₉	—	2	2	no	—
288	C₂×D₄×C₁₃₉	—	2	2	no	—
289	C₂×D₄×C₁₃₉	—	2	2	no	—
290	C₂×D₄×C₁₃₉	—	2	2	no	—
291	C₂×D₄×C₁₃₉	—	2	4	no	—
292	C₂×D₄×C₁₃₉	—	2	4	no	—
293	C₂×D₄×C₁₃₉	—	2	4	no	—
294	C₂×D₄×C₁₃₉	—	2	4	no	—
295	C₂×D₄×C₁₃₉	—	2	4	no	—
296	C₂×D₄×C₁₃₉	—	2	4	no	—
297	C₂×D₄×C₁₃₉	—	2	4	no	—
298	C₂×D₄×C₁₃₉	—	2	2	no	—
299	C₂×D₄×C₁₃₉	—	2	4	no	—
300	C₂×D₄×C₁₃₉	—	2	2	no	—
301	C₂×D₄×C₁₃₉	—	2	2	no	—
302	C₂×D₄×C₁₃₉	—	2	2	no	—
303	C₂×D₄×C₁₃₉	—	2	2	no	—
304	C₂×D₄×C₁₃₉	—	2	2	no	—
305	C₂×D₄×C₁₃₉	—	4	16	no	—
306	C₂×D₄×C₁₃₉	—	4	2	no	—
307	C₂×D₄×C₁₃₉	—	4	2	no	—
308	C₂×D₄×C₁₃₉	—	4	2	no	—
309	C₂×D₄×C₁₃₉	—	4	2	no	—
310	C₂×D₄×C₁₃₉	—	4	2	no	—
311	C₂×D₄×C₁₃₉	—	4	2	no	—
312	C₂×D₄×C₁₃₉	—	4	2	no	—
313	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
314	C₂×D₄×C₁₃₉	#41	1	4	yes	complemented
315	C₂×D₄×C₁₃₉	#41	1	4	yes	complemented
316	C₂²×C₄×C₁₃₉	—	2	2	no	—
317	C₂²×C₄×C₁₃₉	—	2	2	no	—
318	C₂²×C₄×C₁₃₉	—	2	2	no	—
319	C₂²×C₄×C₁₃₉	—	2	2	no	—
320	C₂²×C₄×C₁₃₉	—	2	2	no	—
321	C₂²×C₄×C₁₃₉	—	2	2	no	—
322	C₂²×C₄×C₁₃₉	—	2	2	no	—
323	C₂²×C₄×C₁₃₉	—	2	2	no	—
324	C₂²×C₄×C₁₃₉	—	2	2	no	—
325	C₂²×C₄×C₁₃₉	—	2	2	no	—
326	C₂²×C₄×C₁₃₉	—	2	2	no	—
327	C₂²×C₄×C₁₃₉	—	2	2	no	—
328	C₂²×C₄×C₁₃₉	—	2	2	no	—
329	C₂²×C₄×C₁₃₉	—	2	2	no	—
330	C₂²×C₄×C₁₃₉	—	2	4	no	—
331	C₂²×C₄×C₁₃₉	—	2	4	no	—
332	C₂²×C₄×C₁₃₉	—	2	2	no	—
333	C₂²×C₄×C₁₃₉	—	2	2	no	—
334	C₂²×C₄×C₁₃₉	—	2	4	no	—
335	C₂²×C₄×C₁₃₉	—	2	2	no	—
336	C₂²×C₄×C₁₃₉	—	2	2	no	—
337	C₂²×C₄×C₁₃₉	—	2	2	no	—
338	C₂²×C₄×C₁₃₉	—	2	2	no	—
339	C₂²×C₄×C₁₃₉	—	2	2	no	—
340	C₂²×C₄×C₁₃₉	—	2	4	no	—
341	C₂²×C₄×C₁₃₉	—	4	1	no	—
342	C₂²×C₄×C₁₃₉	—	4	1	no	—
343	C₂²×C₄×C₁₃₉	—	4	1	no	—
344	C₂²×C₄×C₁₃₉	—	4	2	no	—
345	C₂²×C₄×C₁₃₉	—	4	2	no	—
346	C₂²×C₄×C₁₃₉	—	4	2	no	—
347	C₂²×C₄×C₁₃₉	—	4	2	no	—
348	C₂²×C₄×C₁₃₉	—	4	2	no	—
349	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
350	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
351	C₂²×C₄×C₁₃₉	#41	1	4	yes	complemented
352	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
353	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
354	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
355	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
356	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
357	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
358	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
370	C₄⋊C₄×C₁₃₉	—	2	2	no	—
371	C₄⋊C₄×C₁₃₉	—	2	2	no	—
372	C₄⋊C₄×C₁₃₉	—	2	2	no	—
373	C₄⋊C₄×C₁₃₉	—	2	2	no	—
374	C₄⋊C₄×C₁₃₉	—	2	2	no	—
375	C₄⋊C₄×C₁₃₉	—	2	2	no	—
376	C₄⋊C₄×C₁₃₉	—	2	4	no	—
377	C₄⋊C₄×C₁₃₉	—	2	2	no	—
378	C₄⋊C₄×C₁₃₉	—	2	2	no	—
379	C₄⋊C₄×C₁₃₉	—	2	2	no	—
380	C₄⋊C₄×C₁₃₉	—	2	2	no	—
381	C₄⋊C₄×C₁₃₉	—	2	4	no	—
382	C₄⋊C₄×C₁₃₉	—	4	2	no	—
383	C₄⋊C₄×C₁₃₉	—	4	2	no	—
384	C₄⋊C₄×C₁₃₉	—	4	2	no	—
385	C₄⋊C₄×C₁₃₉	—	4	2	no	—
386	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
387	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
388	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
389	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
390	C₂²⋊C₄×C₁₃₉	—	2	4	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	2	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	4	no	—
401	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
402	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
403	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
404	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
405	C₂²⋊C₄×C₁₃₉	—	2	4	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	2	no	—
413	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
414	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
415	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
416	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
417	C₄²×C₁₃₉	—	2	2	no	—
418	C₄²×C₁₃₉	—	2	2	no	—
419	C₄²×C₁₃₉	—	2	2	no	—
420	C₄²×C₁₃₉	—	2	2	no	—
421	C₄²×C₁₃₉	—	2	2	no	—
422	C₄²×C₁₃₉	—	2	2	no	—
423	C₄²×C₁₃₉	—	2	2	no	—
424	C₄²×C₁₃₉	—	2	2	no	—
425	C₄²×C₁₃₉	—	2	2	no	—
426	C₄²×C₁₃₉	—	4	2	no	—
427	C₄²×C₁₃₉	—	4	2	no	—
428	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
429	C₂³×C₁₃₉	—	2	1	no	—
430	C₂³×C₁₃₉	—	2	1	no	—
431	C₂³×C₁₃₉	—	2	1	no	—
432	C₂³×C₁₃₉	—	2	1	no	—
433	C₂³×C₁₃₉	—	2	1	no	—
434	C₂³×C₁₃₉	—	2	2	no	—
435	C₂³×C₁₃₉	—	2	2	no	—
436	C₂³×C₁₃₉	—	2	2	no	—
437	C₂³×C₁₃₉	—	2	1	no	—
438	C₂³×C₁₃₉	—	2	1	no	—
439	C₂³×C₁₃₉	—	2	1	no	—
440	C₂³×C₁₃₉	—	2	1	no	—
441	C₂³×C₁₃₉	—	2	1	no	—
442	C₂³×C₁₃₉	—	2	2	no	—
443	C₂³×C₁₃₉	—	2	1	no	—
444	C₂³×C₁₃₉	—	2	1	no	—
445	C₂³×C₁₃₉	—	2	1	no	—
446	C₂³×C₁₃₉	—	2	1	no	—
447	C₂³×C₁₃₉	—	2	2	no	—
448	C₂³×C₁₃₉	—	2	2	no	—
449	C₂³×C₁₃₉	—	2	1	no	—
450	C₂³×C₁₃₉	—	2	1	no	—
451	C₂³×C₁₃₉	—	2	2	no	—
452	C₂³×C₁₃₉	—	2	2	no	—
453	C₂³×C₁₃₉	—	2	2	no	—
454	C₂³×C₁₃₉	—	2	2	no	—
455	C₂³×C₁₃₉	—	2	2	no	—
456	C₂³×C₁₃₉	—	2	2	no	—
457	C₂³×C₁₃₉	—	2	2	no	—
458	C₂³×C₁₃₉	—	4	8	no	—
459	C₂³×C₁₃₉	—	4	8	no	—
460	C₂³×C₁₃₉	—	4	8	no	—
461	C₂³×C₁₃₉	—	4	8	no	—
462	C₂³×C₁₃₉	—	8	4	no	—
463	C₂³×C₁₃₉	—	8	4	no	—
464	C₂³×C₁₃₉	—	8	4	no	—
465	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
466	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
467	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
468	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
469	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
470	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
471	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
472	Q₈×C₁₃₉	—	2	8	no	—
473	Q₈×C₁₃₉	—	4	4	no	—
474	D₄×C₁₃₉	—	2	8	no	—
475	D₄×C₁₃₉	—	2	8	no	—
476	D₄×C₁₃₉	—	2	8	no	—
477	D₄×C₁₃₉	—	2	8	no	—
478	D₄×C₁₃₉	—	4	8	no	—
479	D₄×C₁₃₉	—	4	8	no	—
480	D₄×C₁₃₉	—	4	8	no	—
481	D₄×C₁₃₉	—	4	4	no	—
482	D₄×C₁₃₉	—	8	4	no	—
483	D₄×C₁₃₉	—	8	4	no	—
484	C₂×C₄×C₁₃₉	—	2	8	no	—
485	C₂×C₄×C₁₃₉	—	2	8	no	—
486	C₂×C₄×C₁₃₉	—	2	8	no	—
487	C₂×C₄×C₁₃₉	—	2	1	no	—
488	C₂×C₄×C₁₃₉	—	2	1	no	—
489	C₂×C₄×C₁₃₉	—	2	1	no	—
490	C₂×C₄×C₁₃₉	—	2	1	no	—
491	C₂×C₄×C₁₃₉	—	2	1	no	—
492	C₂×C₄×C₁₃₉	—	2	1	no	—
493	C₂×C₄×C₁₃₉	—	2	1	no	—
494	C₂×C₄×C₁₃₉	—	2	1	no	—
495	C₂×C₄×C₁₃₉	—	2	1	no	—
496	C₂×C₄×C₁₃₉	—	2	1	no	—
497	C₂×C₄×C₁₃₉	—	2	1	no	—
498	C₂×C₄×C₁₃₉	—	2	1	no	—
499	C₂×C₄×C₁₃₉	—	2	1	no	—
500	C₂×C₄×C₁₃₉	—	2	1	no	—
501	C₂×C₄×C₁₃₉	—	2	1	no	—
502	C₂×C₄×C₁₃₉	—	2	1	no	—
503	C₂×C₄×C₁₃₉	—	2	8	no	—
504	C₂×C₄×C₁₃₉	—	2	8	no	—
505	C₂×C₄×C₁₃₉	—	2	1	no	—
506	C₂×C₄×C₁₃₉	—	2	1	no	—
507	C₂×C₄×C₁₃₉	—	2	1	no	—
508	C₂×C₄×C₁₃₉	—	2	2	no	—
509	C₂×C₄×C₁₃₉	—	2	2	no	—
510	C₂×C₄×C₁₃₉	—	2	1	no	—
511	C₂×C₄×C₁₃₉	—	2	2	no	—
512	C₂×C₄×C₁₃₉	—	2	2	no	—
513	C₂×C₄×C₁₃₉	—	2	2	no	—
514	C₂×C₄×C₁₃₉	—	2	2	no	—
515	C₂×C₄×C₁₃₉	—	2	2	no	—
516	C₂×C₄×C₁₃₉	—	2	2	no	—
517	C₂×C₄×C₁₃₉	—	2	2	no	—
518	C₂×C₄×C₁₃₉	—	2	2	no	—
519	C₂×C₄×C₁₃₉	—	2	2	no	—
520	C₂×C₄×C₁₃₉	—	2	2	no	—
521	C₂×C₄×C₁₃₉	—	2	2	no	—
522	C₂×C₄×C₁₃₉	—	2	1	no	—
523	C₂×C₄×C₁₃₉	—	2	1	no	—
524	C₂×C₄×C₁₃₉	—	2	1	no	—
525	C₂×C₄×C₁₃₉	—	2	2	no	—
526	C₂×C₄×C₁₃₉	—	2	2	no	—
527	C₂×C₄×C₁₃₉	—	2	2	no	—
528	C₂×C₄×C₁₃₉	—	2	1	no	—
529	C₂×C₄×C₁₃₉	—	2	2	no	—
530	C₂×C₄×C₁₃₉	—	2	1	no	—
531	C₂×C₄×C₁₃₉	—	2	2	no	—
532	C₂×C₄×C₁₃₉	—	4	4	no	—
533	C₂×C₄×C₁₃₉	—	4	4	no	—
534	C₂×C₄×C₁₃₉	—	4	4	no	—
535	C₂×C₄×C₁₃₉	—	4	8	no	—
536	C₂×C₄×C₁₃₉	—	4	4	no	—
537	C₂×C₄×C₁₃₉	—	8	4	no	—
538	C₂×C₄×C₁₃₉	—	8	4	no	—
539	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
540	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
541	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
542	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
543	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
544	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
545	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
546	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
547	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
548	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
549	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
550	C₂²×C₁₃₉	—	2	2	no	—
551	C₂²×C₁₃₉	—	2	2	no	—
552	C₂²×C₁₃₉	—	2	2	no	—
553	C₂²×C₁₃₉	—	2	2	no	—
554	C₂²×C₁₃₉	—	2	2	no	—
555	C₂²×C₁₃₉	—	2	2	no	—
556	C₂²×C₁₃₉	—	2	2	no	—
557	C₂²×C₁₃₉	—	2	2	no	—
558	C₂²×C₁₃₉	—	2	2	no	—
559	C₂²×C₁₃₉	—	2	4	no	—
560	C₂²×C₁₃₉	—	2	4	no	—
561	C₂²×C₁₃₉	—	2	2	no	—
562	C₂²×C₁₃₉	—	2	4	no	—
563	C₂²×C₁₃₉	—	2	2	no	—
564	C₂²×C₁₃₉	—	2	2	no	—
565	C₂²×C₁₃₉	—	4	2	no	—
566	C₂²×C₁₃₉	—	4	1	no	—
567	C₂²×C₁₃₉	—	4	1	no	—
568	C₂²×C₁₃₉	—	4	1	no	—
569	C₂²×C₁₃₉	—	4	1	no	—
570	C₂²×C₁₃₉	—	4	1	no	—
571	C₂²×C₁₃₉	—	4	2	no	—
572	C₂²×C₁₃₉	—	4	1	no	—
573	C₂²×C₁₃₉	—	4	1	no	—
574	C₂²×C₁₃₉	—	4	2	no	—
575	C₂²×C₁₃₉	—	4	1	no	—
576	C₂²×C₁₃₉	—	4	2	no	—
577	C₂²×C₁₃₉	—	4	2	no	—
578	C₂²×C₁₃₉	—	4	2	no	—
579	C₂²×C₁₃₉	—	4	2	no	—
580	C₂²×C₁₃₉	—	4	2	no	—
581	C₂²×C₁₃₉	—	4	2	no	—
582	C₂²×C₁₃₉	—	4	2	no	—
583	C₂²×C₁₃₉	—	4	2	no	—
584	C₂²×C₁₃₉	—	8	16	no	—
585	C₂²×C₁₃₉	#525	1	4	yes	—
586	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
587	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
588	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
589	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
590	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
591	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
592	C₂²×C₁₃₉	#585	1	1	yes	characteristic
593	C₄×C₁₃₉	—	2	2	no	—
594	C₄×C₁₃₉	—	2	2	no	—
595	C₄×C₁₃₉	—	2	2	no	—
596	C₄×C₁₃₉	—	2	2	no	—
597	C₄×C₁₃₉	—	2	2	no	—
598	C₄×C₁₃₉	—	2	2	no	—
599	C₄×C₁₃₉	—	2	2	no	—
600	C₄×C₁₃₉	—	2	2	no	—
601	C₄×C₁₃₉	—	4	1	no	—
602	C₄×C₁₃₉	—	4	2	no	—
603	C₄×C₁₃₉	—	4	2	no	—
604	C₄×C₁₃₉	—	4	1	no	—
605	C₄×C₁₃₉	—	4	1	no	—
606	C₄×C₁₃₉	—	4	2	no	—
607	C₄×C₁₃₉	—	4	2	no	—
608	C₄×C₁₃₉	—	4	2	no	—
609	C₄×C₁₃₉	—	4	2	no	—
610	C₄×C₁₃₉	#546	1	4	yes	—
611	C₂×C₁₃₉	—	2	4	no	—
612	C₂×C₁₃₉	—	4	2	no	—
613	C₂×C₁₃₉	—	4	2	no	—
614	C₂×C₁₃₉	—	4	4	no	—
615	C₂×C₁₃₉	—	8	2	no	—
616	C₂×C₁₃₉	C₂×#525	1	1	yes	characteristic
617	C₂×C₁₃₉	C₂×#546	1	1	yes	characteristic
618	C₂×C₁₃₉	#3475	1	1	yes	characteristic
619	C₂×C₁₃₉	#3481	1	1	yes	characteristic
620	C₂×C₁₃₉	#3488	1	1	yes	characteristic
621	C₂×C₁₃₉	#3508	1	1	yes	characteristic
622	C₂×C₁₃₉	#3514	1	1	yes	characteristic
623	#36360	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
624	C₁₃₉	#36360	1	1	yes	characteristic, direct product factor, Sylow
625	C₂×#546	C₂×C₁₃₉	1	1	yes	characteristic, complemented
626	C₂×C₄×#41	C₂×C₁₃₉	1	1	yes	characteristic, complemented
627	#2855	C₂×C₁₃₉	1	1	yes	characteristic, complemented
628	#2854	C₂×C₁₃₉	1	1	yes	characteristic, complemented
629	#2850	C₂×C₁₃₉	1	1	yes	characteristic, complemented
630	#2592	C₂×C₁₃₉	1	1	yes	characteristic, complemented
631	#2580	C₂×C₁₃₉	1	1	yes	characteristic, complemented
632	#2476	C₂×C₁₃₉	1	2	yes	complemented
633	#2471	C₂×C₁₃₉	1	2	yes	complemented
634	#2458	C₂×C₁₃₉	1	2	yes	complemented
635	#2456	C₂×C₁₃₉	1	2	yes	complemented
636	#2418	C₂×C₁₃₉	1	2	yes	complemented
637	#2417	C₂×C₁₃₉	1	1	yes	characteristic, complemented
638	#2414	C₂×C₁₃₉	1	1	yes	characteristic, complemented
639	#2408	C₂×C₁₃₉	1	1	yes	characteristic, complemented
640	#2407	C₂×C₁₃₉	1	1	yes	characteristic, complemented
641	#2404	C₂×C₁₃₉	1	2	yes	complemented
642	#2358	C₂×C₁₃₉	1	2	yes	complemented
643	#2352	C₂×C₁₃₉	1	1	yes	characteristic, complemented
644	#2342	C₂×C₁₃₉	1	2	yes	complemented
645	C₄×#121	C₂×C₁₃₉	1	1	yes	characteristic, complemented
646	#2297	C₂×C₁₃₉	1	1	yes	characteristic, complemented
647	C₂×#390	C₂×C₁₃₉	1	1	yes	characteristic, complemented
648	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic
649	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic
650	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
651	#546	—	2	8	no	—
652	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
653	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
654	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
655	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
656	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
657	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
658	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
659	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
660	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
661	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
662	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
663	C₄×#41	—	2	8	no	—
664	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
665	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
666	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
667	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
668	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
669	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
670	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
671	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
672	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
673	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
674	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
675	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
676	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
677	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
678	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
679	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
680	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
681	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
682	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
683	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
684	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
685	#399	C₂²×C₁₃₉	1	2	yes	complemented
686	#398	C₂²×C₁₃₉	1	2	yes	complemented
687	#397	C₂²×C₁₃₉	1	2	yes	complemented
688	#396	C₂²×C₁₃₉	1	2	yes	complemented
689	#394	C₂²×C₁₃₉	1	2	yes	—
690	#394	C₂²×C₁₃₉	1	2	yes	complemented
691	#394	C₂²×C₁₃₉	1	2	yes	complemented
692	#393	C₂²×C₁₃₉	1	2	yes	complemented
693	#393	C₂²×C₁₃₉	1	2	yes	complemented
694	#392	C₂²×C₁₃₉	1	2	yes	—
695	#392	C₂²×C₁₃₉	1	2	yes	complemented
696	#392	C₂²×C₁₃₉	1	2	yes	complemented
697	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
698	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
699	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
700	#390	C₂²×C₁₃₉	1	1	yes	characteristic
701	#390	C₂²×C₁₃₉	1	1	yes	characteristic
702	#390	C₂²×C₁₃₉	1	1	yes	characteristic
703	#390	C₂²×C₁₃₉	1	1	yes	characteristic
704	#390	C₂²×C₁₃₉	1	1	yes	characteristic
705	#390	C₂²×C₁₃₉	1	2	yes	—
706	#390	C₂²×C₁₃₉	1	2	yes	—
707	#390	C₂²×C₁₃₉	1	1	yes	characteristic
708	#390	C₂²×C₁₃₉	1	2	yes	complemented
709	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
710	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
711	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
712	#388	C₂²×C₁₃₉	1	2	yes	complemented
713	#388	C₂²×C₁₃₉	1	2	yes	complemented
714	#388	C₂²×C₁₃₉	1	2	yes	complemented
715	#388	C₂²×C₁₃₉	1	2	yes	complemented
716	#388	C₂²×C₁₃₉	1	2	yes	complemented
717	#388	C₂²×C₁₃₉	1	2	yes	complemented
718	#388	C₂²×C₁₃₉	1	2	yes	complemented
719	#388	C₂²×C₁₃₉	1	2	yes	complemented
720	#388	C₂²×C₁₃₉	1	2	yes	complemented
721	#387	C₂²×C₁₃₉	1	2	yes	complemented
722	#387	C₂²×C₁₃₉	1	2	yes	complemented
723	#387	C₂²×C₁₃₉	1	2	yes	complemented
724	#386	C₂²×C₁₃₉	1	2	yes	—
725	#386	C₂²×C₁₃₉	1	2	yes	—
726	#386	C₂²×C₁₃₉	1	2	yes	complemented
727	#386	C₂²×C₁₃₉	1	2	yes	complemented
728	#386	C₂²×C₁₃₉	1	2	yes	complemented
729	#386	C₂²×C₁₃₉	1	2	yes	complemented
730	#386	C₂²×C₁₃₉	1	2	yes	complemented
731	#386	C₂²×C₁₃₉	1	2	yes	complemented
732	#386	C₂²×C₁₃₉	1	2	yes	complemented
733	#385	C₂²×C₁₃₉	1	2	yes	—
734	#385	C₂²×C₁₃₉	1	2	yes	complemented
735	#385	C₂²×C₁₃₉	1	2	yes	complemented
736	#385	C₂²×C₁₃₉	1	2	yes	complemented
737	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
738	#381	C₂²×C₁₃₉	1	2	yes	—
739	#380	C₂²×C₁₃₉	1	2	yes	—
740	#380	C₂²×C₁₃₉	1	1	yes	characteristic
741	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
742	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
743	#379	C₂²×C₁₃₉	1	2	yes	—
744	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
745	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
746	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
747	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
748	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
749	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
750	C₂×#41	—	2	4	no	—
751	C₂×#41	—	2	4	no	—
752	C₂×#41	—	2	4	no	—
753	C₂×#41	—	2	4	no	—
754	C₂×#41	—	2	4	no	—
755	C₂×#41	—	4	2	no	—
756	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
757	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
758	C₂²×D₄	—	2	4	no	—
759	C₂²×D₄	—	2	4	no	—
760	C₂²×D₄	—	4	2	no	—
761	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
762	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
763	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
764	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
765	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
766	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
767	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
768	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
769	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
770	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
771	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
772	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
773	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
774	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
775	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
776	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
777	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
778	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
779	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
780	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
781	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
782	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
783	#124	—	2	4	no	—
784	#123	—	2	8	no	—
785	#123	—	4	4	no	—
786	C₂²⋊Q₈	—	2	4	no	—
787	C₂²⋊Q₈	—	4	2	no	—
788	#121	—	2	4	no	—
789	#121	—	2	4	no	—
790	#121	—	2	8	no	—
791	#121	—	4	2	no	—
792	#120	—	2	8	no	—
793	#120	—	2	8	no	—
794	C₄×Q₈	—	2	4	no	—
795	C₄×Q₈	—	2	4	no	—
796	C₄×D₄	—	2	4	no	—
797	C₄×D₄	—	2	4	no	—
798	C₄×D₄	—	2	4	no	—
799	C₄×D₄	—	2	4	no	—
800	C₄×D₄	—	2	4	no	—
801	C₄×D₄	—	2	4	no	—
802	C₄×D₄	—	4	4	no	—
803	C₄×D₄	D₄×C₁₃₉	1	8	yes	complemented
804	#117	—	2	4	no	—
805	#117	—	2	4	no	—
806	#117	—	2	4	no	—
807	#117	—	4	2	no	—
808	C₂×C₄⋊C₄	—	4	2	no	—
809	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
810	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
811	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
812	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
813	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
814	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
815	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
816	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
817	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
818	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
819	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
820	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
821	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
822	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
823	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
824	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
825	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
826	C₂×C₂²⋊C₄	—	2	8	no	—
827	C₂×C₂²⋊C₄	—	2	8	no	—
828	C₂×C₂²⋊C₄	—	4	4	no	—
829	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
830	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
831	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
832	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
833	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
834	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
835	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
836	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
837	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
838	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
839	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
840	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
841	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
842	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
843	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
844	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
845	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
846	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
847	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
848	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
849	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
850	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
851	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
852	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
853	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
854	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
855	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
856	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
857	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
858	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
859	C₂×C₄²	—	2	4	no	—
860	C₂×C₄²	—	2	4	no	—
861	C₂×C₄²	—	2	4	no	—
862	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
863	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
864	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
865	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
866	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
867	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
868	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
869	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
870	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
871	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
872	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
873	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
874	#95	C₂³×C₁₃₉	1	2	yes	—
875	#95	C₂³×C₁₃₉	1	2	yes	—
876	#95	C₂³×C₁₃₉	1	2	yes	—
877	#95	C₂³×C₁₃₉	1	2	yes	—
878	#95	C₂³×C₁₃₉	1	2	yes	—
879	#95	C₂³×C₁₃₉	1	2	yes	—
880	#95	C₂³×C₁₃₉	1	2	yes	—
881	#95	C₂³×C₁₃₉	1	2	yes	—
882	#95	C₂³×C₁₃₉	1	2	yes	—
883	#95	C₂³×C₁₃₉	1	2	yes	—
884	#95	C₂³×C₁₃₉	1	2	yes	—
885	#95	C₂³×C₁₃₉	1	2	yes	—
886	#95	C₂³×C₁₃₉	1	2	yes	—
887	#95	C₂³×C₁₃₉	1	2	yes	—
888	#95	C₂³×C₁₃₉	1	2	yes	—
889	C₂⁴	—	2	4	no	—
890	C₂⁴	—	2	4	no	—
891	C₂⁴	—	2	4	no	—
892	C₂⁴	—	2	4	no	—
893	C₂⁴	—	4	2	no	—
894	C₂⁴	—	4	2	no	—
895	C₂⁴	—	4	2	no	—
896	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
897	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
898	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
899	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
900	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
901	#41	—	2	32	no	—
902	#41	—	4	16	no	—
903	C₂×Q₈	—	2	2	no	—
904	C₂×Q₈	—	2	2	no	—
905	C₂×Q₈	—	2	2	no	—
906	C₂×Q₈	—	2	2	no	—
907	C₂×Q₈	—	2	2	no	—
908	C₂×Q₈	—	2	2	no	—
909	C₂×D₄	—	2	2	no	—
910	C₂×D₄	—	2	2	no	—
911	C₂×D₄	—	2	2	no	—
912	C₂×D₄	—	2	2	no	—
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	4	no	—
916	C₂×D₄	—	2	4	no	—
917	C₂×D₄	—	2	4	no	—
918	C₂×D₄	—	2	4	no	—
919	C₂×D₄	—	2	4	no	—
920	C₂×D₄	—	2	4	no	—
921	C₂×D₄	—	2	4	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	2	4	no	—
924	C₂×D₄	—	2	2	no	—
925	C₂×D₄	—	2	2	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	2	no	—
929	C₂×D₄	—	4	16	no	—
930	C₂×D₄	—	4	2	no	—
931	C₂×D₄	—	4	2	no	—
932	C₂×D₄	—	4	2	no	—
933	C₂×D₄	—	4	2	no	—
934	C₂×D₄	—	4	2	no	—
935	C₂×D₄	—	4	2	no	—
936	C₂×D₄	—	4	2	no	—
937	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
938	C₂×D₄	#41×C₁₃₉	1	4	yes	complemented
939	C₂×D₄	#41×C₁₃₉	1	4	yes	complemented
940	C₂²×C₄	—	2	2	no	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	—	2	2	no	—
943	C₂²×C₄	—	2	2	no	—
944	C₂²×C₄	—	2	2	no	—
945	C₂²×C₄	—	2	2	no	—
946	C₂²×C₄	—	2	2	no	—
947	C₂²×C₄	—	2	2	no	—
948	C₂²×C₄	—	2	2	no	—
949	C₂²×C₄	—	2	2	no	—
950	C₂²×C₄	—	2	2	no	—
951	C₂²×C₄	—	2	2	no	—
952	C₂²×C₄	—	2	2	no	—
953	C₂²×C₄	—	2	2	no	—
954	C₂²×C₄	—	2	4	no	—
955	C₂²×C₄	—	2	4	no	—
956	C₂²×C₄	—	2	2	no	—
957	C₂²×C₄	—	2	2	no	—
958	C₂²×C₄	—	2	4	no	—
959	C₂²×C₄	—	2	2	no	—
960	C₂²×C₄	—	2	2	no	—
961	C₂²×C₄	—	2	2	no	—
962	C₂²×C₄	—	2	2	no	—
963	C₂²×C₄	—	2	2	no	—
964	C₂²×C₄	—	2	4	no	—
965	C₂²×C₄	—	4	1	no	—
966	C₂²×C₄	—	4	1	no	—
967	C₂²×C₄	—	4	1	no	—
968	C₂²×C₄	—	4	2	no	—
969	C₂²×C₄	—	4	2	no	—
970	C₂²×C₄	—	4	2	no	—
971	C₂²×C₄	—	4	2	no	—
972	C₂²×C₄	—	4	2	no	—
973	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
974	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
975	C₂²×C₄	#41×C₁₃₉	1	4	yes	complemented
976	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
977	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
978	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
979	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
980	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
981	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
982	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
983	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
984	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
985	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
986	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
987	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
988	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
989	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
990	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
991	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
992	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
993	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
994	C₄⋊C₄	—	2	2	no	—
995	C₄⋊C₄	—	2	2	no	—
996	C₄⋊C₄	—	2	2	no	—
997	C₄⋊C₄	—	2	2	no	—
998	C₄⋊C₄	—	2	2	no	—
999	C₄⋊C₄	—	2	2	no	—
1000	C₄⋊C₄	—	2	4	no	—
1001	C₄⋊C₄	—	2	2	no	—
1002	C₄⋊C₄	—	2	2	no	—
1003	C₄⋊C₄	—	2	2	no	—
1004	C₄⋊C₄	—	2	2	no	—
1005	C₄⋊C₄	—	2	4	no	—
1006	C₄⋊C₄	—	4	2	no	—
1007	C₄⋊C₄	—	4	2	no	—
1008	C₄⋊C₄	—	4	2	no	—
1009	C₄⋊C₄	—	4	2	no	—
1010	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1011	C₂²⋊C₄	—	2	4	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	4	no	—
1015	C₂²⋊C₄	—	2	4	no	—
1016	C₂²⋊C₄	—	2	4	no	—
1017	C₂²⋊C₄	—	2	4	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	4	no	—
1021	C₂²⋊C₄	—	2	4	no	—
1022	C₂²⋊C₄	—	2	4	no	—
1023	C₂²⋊C₄	—	2	4	no	—
1024	C₂²⋊C₄	—	2	4	no	—
1025	C₂²⋊C₄	—	2	4	no	—
1026	C₂²⋊C₄	—	2	4	no	—
1027	C₂²⋊C₄	—	2	4	no	—
1028	C₂²⋊C₄	—	2	4	no	—
1029	C₂²⋊C₄	—	2	4	no	—
1030	C₂²⋊C₄	—	4	2	no	—
1031	C₂²⋊C₄	—	4	2	no	—
1032	C₂²⋊C₄	—	4	2	no	—
1033	C₂²⋊C₄	—	4	2	no	—
1034	C₂²⋊C₄	—	4	2	no	—
1035	C₂²⋊C₄	—	4	2	no	—
1036	C₂²⋊C₄	—	4	2	no	—
1037	C₂²⋊C₄	—	4	2	no	—
1038	C₂²⋊C₄	—	4	2	no	—
1039	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1040	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1041	C₄²	—	2	2	no	—
1042	C₄²	—	2	2	no	—
1043	C₄²	—	2	2	no	—
1044	C₄²	—	2	2	no	—
1045	C₄²	—	2	2	no	—
1046	C₄²	—	2	2	no	—
1047	C₄²	—	2	2	no	—
1048	C₄²	—	2	2	no	—
1049	C₄²	—	2	2	no	—
1050	C₄²	—	4	2	no	—
1051	C₄²	—	4	2	no	—
1052	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
1053	C₂³	—	2	1	no	—
1054	C₂³	—	2	1	no	—
1055	C₂³	—	2	1	no	—
1056	C₂³	—	2	1	no	—
1057	C₂³	—	2	1	no	—
1058	C₂³	—	2	2	no	—
1059	C₂³	—	2	2	no	—
1060	C₂³	—	2	2	no	—
1061	C₂³	—	2	1	no	—
1062	C₂³	—	2	1	no	—
1063	C₂³	—	2	1	no	—
1064	C₂³	—	2	1	no	—
1065	C₂³	—	2	1	no	—
1066	C₂³	—	2	2	no	—
1067	C₂³	—	2	1	no	—
1068	C₂³	—	2	1	no	—
1069	C₂³	—	2	1	no	—
1070	C₂³	—	2	1	no	—
1071	C₂³	—	2	2	no	—
1072	C₂³	—	2	2	no	—
1073	C₂³	—	2	1	no	—
1074	C₂³	—	2	1	no	—
1075	C₂³	—	2	2	no	—
1076	C₂³	—	2	2	no	—
1077	C₂³	—	2	2	no	—
1078	C₂³	—	2	2	no	—
1079	C₂³	—	2	2	no	—
1080	C₂³	—	2	2	no	—
1081	C₂³	—	2	2	no	—
1082	C₂³	—	4	8	no	—
1083	C₂³	—	4	8	no	—
1084	C₂³	—	4	8	no	—
1085	C₂³	—	4	8	no	—
1086	C₂³	—	8	4	no	—
1087	C₂³	—	8	4	no	—
1088	C₂³	—	8	4	no	—
1089	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1090	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1091	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
1092	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1093	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1094	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1095	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1096	Q₈	—	2	8	no	—
1097	Q₈	—	4	4	no	—
1098	D₄	—	2	8	no	—
1099	D₄	—	2	8	no	—
1100	D₄	—	2	8	no	—
1101	D₄	—	2	8	no	—
1102	D₄	—	4	8	no	—
1103	D₄	—	4	8	no	—
1104	D₄	—	4	8	no	—
1105	D₄	—	4	4	no	—
1106	D₄	—	8	4	no	—
1107	D₄	—	8	4	no	—
1108	C₂×C₄	—	2	8	no	—
1109	C₂×C₄	—	2	8	no	—
1110	C₂×C₄	—	2	8	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	8	no	—
1128	C₂×C₄	—	2	8	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	1	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	2	no	—
1133	C₂×C₄	—	2	2	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	2	no	—
1136	C₂×C₄	—	2	2	no	—
1137	C₂×C₄	—	2	2	no	—
1138	C₂×C₄	—	2	2	no	—
1139	C₂×C₄	—	2	2	no	—
1140	C₂×C₄	—	2	2	no	—
1141	C₂×C₄	—	2	2	no	—
1142	C₂×C₄	—	2	2	no	—
1143	C₂×C₄	—	2	2	no	—
1144	C₂×C₄	—	2	2	no	—
1145	C₂×C₄	—	2	2	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	2	no	—
1150	C₂×C₄	—	2	2	no	—
1151	C₂×C₄	—	2	2	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	2	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	2	no	—
1156	C₂×C₄	—	4	4	no	—
1157	C₂×C₄	—	4	8	no	—
1158	C₂×C₄	—	4	4	no	—
1159	C₂×C₄	—	4	4	no	—
1160	C₂×C₄	—	4	4	no	—
1161	C₂×C₄	—	8	4	no	—
1162	C₂×C₄	—	8	4	no	—
1163	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1164	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1165	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1166	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1167	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1168	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1169	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1170	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1171	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1172	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1173	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1174	C₂²	—	2	2	no	—
1175	C₂²	—	2	2	no	—
1176	C₂²	—	2	2	no	—
1177	C₂²	—	2	2	no	—
1178	C₂²	—	2	2	no	—
1179	C₂²	—	2	2	no	—
1180	C₂²	—	2	2	no	—
1181	C₂²	—	2	2	no	—
1182	C₂²	—	2	2	no	—
1183	C₂²	—	2	4	no	—
1184	C₂²	—	2	4	no	—
1185	C₂²	—	2	2	no	—
1186	C₂²	—	2	4	no	—
1187	C₂²	—	2	2	no	—
1188	C₂²	—	2	2	no	—
1189	C₂²	—	4	2	no	—
1190	C₂²	—	4	1	no	—
1191	C₂²	—	4	1	no	—
1192	C₂²	—	4	1	no	—
1193	C₂²	—	4	1	no	—
1194	C₂²	—	4	1	no	—
1195	C₂²	—	4	2	no	—
1196	C₂²	—	4	2	no	—
1197	C₂²	—	4	1	no	—
1198	C₂²	—	4	1	no	—
1199	C₂²	—	4	2	no	—
1200	C₂²	—	4	1	no	—
1201	C₂²	—	4	2	no	—
1202	C₂²	—	4	2	no	—
1203	C₂²	—	4	2	no	—
1204	C₂²	—	4	2	no	—
1205	C₂²	—	4	2	no	—
1206	C₂²	—	4	2	no	—
1207	C₂²	—	4	2	no	—
1208	C₂²	—	8	16	no	—
1209	C₂²	#525×C₁₃₉	1	4	yes	—
1210	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1211	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1212	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1213	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1214	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1215	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1216	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1217	C₄	—	2	2	no	—
1218	C₄	—	2	2	no	—
1219	C₄	—	2	2	no	—
1220	C₄	—	2	2	no	—
1221	C₄	—	2	2	no	—
1222	C₄	—	2	2	no	—
1223	C₄	—	2	2	no	—
1224	C₄	—	2	2	no	—
1225	C₄	—	4	2	no	—
1226	C₄	—	4	1	no	—
1227	C₄	—	4	2	no	—
1228	C₄	—	4	1	no	—
1229	C₄	—	4	1	no	—
1230	C₄	—	4	2	no	—
1231	C₄	—	4	2	no	—
1232	C₄	—	4	2	no	—
1233	C₄	—	4	2	no	—
1234	C₄	#546×C₁₃₉	1	4	yes	—
1235	C₂	—	2	4	no	—
1236	C₂	—	4	4	no	—
1237	C₂	—	4	2	no	—
1238	C₂	—	4	2	no	—
1239	C₂	—	8	2	no	—
1240	C₂	C₂×#525×C₁₃₉	1	1	yes	characteristic
1241	C₂	C₂×#546×C₁₃₉	1	1	yes	characteristic
1242	C₂	#3475×C₁₃₉	1	1	yes	characteristic
1243	C₂	#3481×C₁₃₉	1	1	yes	characteristic
1244	C₂	#3488×C₁₃₉	1	1	yes	characteristic
1245	C₂	#3508×C₁₃₉	1	1	yes	characteristic
1246	C₂	#3514×C₁₃₉	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂×#546×C₁₃₉	C₂	semidirect
2. C₂×C₄×#41×C₁₃₉	C₂	semidirect
3. #2855×C₁₃₉	C₂	semidirect
4. #2854×C₁₃₉	C₂	semidirect
5. #2850×C₁₃₉	C₂	semidirect
6. #2592×C₁₃₉	C₂	semidirect
7. #2580×C₁₃₉	C₂	semidirect
8. #2476×C₁₃₉	C₂	semidirect
9. #2471×C₁₃₉	C₂	semidirect
10. #2458×C₁₃₉	C₂	semidirect
11. #2456×C₁₃₉	C₂	semidirect
12. #2418×C₁₃₉	C₂	semidirect
13. #2417×C₁₃₉	C₂	semidirect
14. #2414×C₁₃₉	C₂	semidirect
15. #2408×C₁₃₉	C₂	semidirect
16. #2407×C₁₃₉	C₂	semidirect
17. #2404×C₁₃₉	C₂	semidirect
18. #2358×C₁₃₉	C₂	semidirect
19. #2352×C₁₃₉	C₂	semidirect
20. #2342×C₁₃₉	C₂	semidirect
21. C₄×#121×C₁₃₉	C₂	semidirect
22. #2297×C₁₃₉	C₂	semidirect
23. C₂×#390×C₁₃₉	C₂	semidirect
30. C₂×#123×C₁₃₉	C₂²	semidirect
32. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
40. C₂×C₄×Q₈×C₁₃₉	C₂²	semidirect
41. C₂×C₄×Q₈×C₁₃₉	C₂²	semidirect
47. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
48. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
49. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
51. C₂×#117×C₁₃₉	C₂²	semidirect
52. C₂×#117×C₁₃₉	C₂²	semidirect
53. C₂×#117×C₁₃₉	C₂²	semidirect
59. C₂²×C₄²×C₁₃₉	C₂²	semidirect
60. C₂²×C₄²×C₁₃₉	C₂²	semidirect
61. #399×C₁₃₉	C₂²	semidirect
62. #398×C₁₃₉	C₂²	semidirect
63. #397×C₁₃₉	C₂²	semidirect
64. #396×C₁₃₉	C₂²	semidirect
66. #394×C₁₃₉	C₂²	semidirect
67. #394×C₁₃₉	C₂²	semidirect
68. #393×C₁₃₉	C₂²	semidirect
69. #393×C₁₃₉	C₂²	semidirect
71. #392×C₁₃₉	C₂²	semidirect
72. #392×C₁₃₉	C₂²	semidirect
73. #391×C₁₃₉	C₂²	semidirect
74. #391×C₁₃₉	C₂²	semidirect
75. #391×C₁₃₉	C₂²	semidirect
84. #390×C₁₃₉	C₂²	semidirect
85. #389×C₁₃₉	C₂²	semidirect
86. #389×C₁₃₉	C₂²	semidirect
87. #389×C₁₃₉	C₂²	semidirect
88. #388×C₁₃₉	C₂²	semidirect
89. #388×C₁₃₉	C₂²	semidirect
90. #388×C₁₃₉	C₂²	semidirect
91. #388×C₁₃₉	C₂²	semidirect
92. #388×C₁₃₉	C₂²	semidirect
93. #388×C₁₃₉	C₂²	semidirect
94. #388×C₁₃₉	C₂²	semidirect
95. #388×C₁₃₉	C₂²	semidirect
96. #388×C₁₃₉	C₂²	semidirect
97. #387×C₁₃₉	C₂²	semidirect
98. #387×C₁₃₉	C₂²	semidirect
99. #387×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. #386×C₁₃₉	C₂²	semidirect
108. #386×C₁₃₉	C₂²	semidirect
110. #385×C₁₃₉	C₂²	semidirect
111. #385×C₁₃₉	C₂²	semidirect
112. #385×C₁₃₉	C₂²	semidirect
113. #382×C₁₃₉	C₂²	semidirect
117. #380×C₁₃₉	C₂²	semidirect
118. #380×C₁₃₉	C₂²	semidirect
120. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
122. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
123. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
124. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
179. C₄×D₄×C₁₃₉	D₄	semidirect
314. C₂×D₄×C₁₃₉	#41	semidirect
315. C₂×D₄×C₁₃₉	#41	semidirect
351. C₂²×C₄×C₁₃₉	#41	semidirect
623. #36360	C₁₃₉	direct (N × H)
624. C₁₃₉	#36360	direct (N × H)
625. C₂×#546	C₂×C₁₃₉	semidirect
626. C₂×C₄×#41	C₂×C₁₃₉	semidirect
627. #2855	C₂×C₁₃₉	semidirect
628. #2854	C₂×C₁₃₉	semidirect
629. #2850	C₂×C₁₃₉	semidirect
630. #2592	C₂×C₁₃₉	semidirect
631. #2580	C₂×C₁₃₉	semidirect
632. #2476	C₂×C₁₃₉	semidirect
633. #2471	C₂×C₁₃₉	semidirect
634. #2458	C₂×C₁₃₉	semidirect
635. #2456	C₂×C₁₃₉	semidirect
636. #2418	C₂×C₁₃₉	semidirect
637. #2417	C₂×C₁₃₉	semidirect
638. #2414	C₂×C₁₃₉	semidirect
639. #2408	C₂×C₁₃₉	semidirect
640. #2407	C₂×C₁₃₉	semidirect
641. #2404	C₂×C₁₃₉	semidirect
642. #2358	C₂×C₁₃₉	semidirect
643. #2352	C₂×C₁₃₉	semidirect
644. #2342	C₂×C₁₃₉	semidirect
645. C₄×#121	C₂×C₁₃₉	semidirect
646. #2297	C₂×C₁₃₉	semidirect
647. C₂×#390	C₂×C₁₃₉	semidirect
654. C₂×#123	C₂²×C₁₃₉	semidirect
656. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
664. C₂×C₄×Q₈	C₂²×C₁₃₉	semidirect
665. C₂×C₄×Q₈	C₂²×C₁₃₉	semidirect
671. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
672. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
673. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
675. C₂×#117	C₂²×C₁₃₉	semidirect
676. C₂×#117	C₂²×C₁₃₉	semidirect
677. C₂×#117	C₂²×C₁₃₉	semidirect
683. C₂²×C₄²	C₂²×C₁₃₉	semidirect
684. C₂²×C₄²	C₂²×C₁₃₉	semidirect
685. #399	C₂²×C₁₃₉	semidirect
686. #398	C₂²×C₁₃₉	semidirect
687. #397	C₂²×C₁₃₉	semidirect
688. #396	C₂²×C₁₃₉	semidirect
690. #394	C₂²×C₁₃₉	semidirect
691. #394	C₂²×C₁₃₉	semidirect
692. #393	C₂²×C₁₃₉	semidirect
693. #393	C₂²×C₁₃₉	semidirect
695. #392	C₂²×C₁₃₉	semidirect
696. #392	C₂²×C₁₃₉	semidirect
697. #391	C₂²×C₁₃₉	semidirect
698. #391	C₂²×C₁₃₉	semidirect
699. #391	C₂²×C₁₃₉	semidirect
708. #390	C₂²×C₁₃₉	semidirect
709. #389	C₂²×C₁₃₉	semidirect
710. #389	C₂²×C₁₃₉	semidirect
711. #389	C₂²×C₁₃₉	semidirect
712. #388	C₂²×C₁₃₉	semidirect
713. #388	C₂²×C₁₃₉	semidirect
714. #388	C₂²×C₁₃₉	semidirect
715. #388	C₂²×C₁₃₉	semidirect
716. #388	C₂²×C₁₃₉	semidirect
717. #388	C₂²×C₁₃₉	semidirect
718. #388	C₂²×C₁₃₉	semidirect
719. #388	C₂²×C₁₃₉	semidirect
720. #388	C₂²×C₁₃₉	semidirect
721. #387	C₂²×C₁₃₉	semidirect
722. #387	C₂²×C₁₃₉	semidirect
723. #387	C₂²×C₁₃₉	semidirect
726. #386	C₂²×C₁₃₉	semidirect
727. #386	C₂²×C₁₃₉	semidirect
728. #386	C₂²×C₁₃₉	semidirect
729. #386	C₂²×C₁₃₉	semidirect
730. #386	C₂²×C₁₃₉	semidirect
731. #386	C₂²×C₁₃₉	semidirect
732. #386	C₂²×C₁₃₉	semidirect
734. #385	C₂²×C₁₃₉	semidirect
735. #385	C₂²×C₁₃₉	semidirect
736. #385	C₂²×C₁₃₉	semidirect
737. #382	C₂²×C₁₃₉	semidirect
741. #380	C₂²×C₁₃₉	semidirect
742. #380	C₂²×C₁₃₉	semidirect
744. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
746. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
747. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
748. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
803. C₄×D₄	D₄×C₁₃₉	semidirect
938. C₂×D₄	#41×C₁₃₉	semidirect
939. C₂×D₄	#41×C₁₃₉	semidirect
975. 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
C₂×C₄×#41×C₁₃₉	2
#2855×C₁₃₉	2
#2854×C₁₃₉	2
#2850×C₁₃₉	2
#2592×C₁₃₉	2
#2580×C₁₃₉	2
#2476×C₁₃₉	2
#2471×C₁₃₉	2
#2458×C₁₃₉	2
#2456×C₁₃₉	2
#2418×C₁₃₉	2
#2417×C₁₃₉	2
#2414×C₁₃₉	2
#2408×C₁₃₉	2
#2407×C₁₃₉	2
#2404×C₁₃₉	2
#2358×C₁₃₉	2
#2352×C₁₃₉	2
#2342×C₁₃₉	2
C₄×#121×C₁₃₉	2
#2297×C₁₃₉	2
C₂×#390×C₁₃₉	2
#36360	139

Subgroups — C139×#36360 #48030956

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36360 #48030956