Subgroups — C₁₃₉×#37268 #48031864

Order 35584.

2642 conjugacy classes of subgroups.

The subgroup lattice has 1278 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#537×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#525×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2848×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2847×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2732×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2728×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2708×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2701×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2688×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2678×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2671×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2668×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2625×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2624×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2487×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2486×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2417×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2416×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2415×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#2414×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2407×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	#2407×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	#2311×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, complemented
26	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
27	#537×C₁₃₉	—	2	8	no	—
28	#525×C₁₃₉	—	2	8	no	—
29	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
30	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
31	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
32	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	complemented
39	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
41	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
42	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
43	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
44	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
45	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
46	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
47	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
48	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
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×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
53	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
56	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
57	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
58	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
59	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
60	#400×C₁₃₉	C₂²	1	2	yes	complemented
61	#400×C₁₃₉	C₂²	1	2	yes	complemented
62	#399×C₁₃₉	C₂²	1	2	yes	—
63	#399×C₁₃₉	C₂²	1	2	yes	complemented
64	#398×C₁₃₉	C₂²	1	2	yes	complemented
65	#398×C₁₃₉	C₂²	1	2	yes	complemented
66	#398×C₁₃₉	C₂²	1	2	yes	complemented
67	#397×C₁₃₉	C₂²	1	2	yes	—
68	#397×C₁₃₉	C₂²	1	2	yes	—
69	#397×C₁₃₉	C₂²	1	2	yes	—
70	#397×C₁₃₉	C₂²	1	2	yes	complemented
71	#397×C₁₃₉	C₂²	1	2	yes	complemented
72	#396×C₁₃₉	C₂²	1	2	yes	—
73	#396×C₁₃₉	C₂²	1	2	yes	complemented
74	#394×C₁₃₉	C₂²	1	2	yes	—
75	#394×C₁₃₉	C₂²	1	2	yes	—
76	#394×C₁₃₉	C₂²	1	2	yes	—
77	#394×C₁₃₉	C₂²	1	2	yes	—
78	#394×C₁₃₉	C₂²	1	2	yes	complemented
79	#394×C₁₃₉	C₂²	1	2	yes	complemented
80	#394×C₁₃₉	C₂²	1	2	yes	complemented
81	#392×C₁₃₉	C₂²	1	2	yes	—
82	#392×C₁₃₉	C₂²	1	2	yes	—
83	#392×C₁₃₉	C₂²	1	2	yes	—
84	#391×C₁₃₉	C₂²	1	2	yes	complemented
85	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
86	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
87	#390×C₁₃₉	C₂²	1	2	yes	—
88	#390×C₁₃₉	C₂²	1	2	yes	—
89	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
90	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
91	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
92	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
93	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
94	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
95	#389×C₁₃₉	C₂²	1	2	yes	complemented
96	#388×C₁₃₉	C₂²	1	2	yes	—
97	#388×C₁₃₉	C₂²	1	2	yes	complemented
98	#386×C₁₃₉	C₂²	1	2	yes	—
99	#386×C₁₃₉	C₂²	1	2	yes	—
100	#386×C₁₃₉	C₂²	1	2	yes	—
101	#386×C₁₃₉	C₂²	1	2	yes	—
102	#386×C₁₃₉	C₂²	1	2	yes	—
103	#386×C₁₃₉	C₂²	1	2	yes	—
104	#386×C₁₃₉	C₂²	1	2	yes	—
105	#386×C₁₃₉	C₂²	1	2	yes	—
106	#386×C₁₃₉	C₂²	1	2	yes	complemented
107	#386×C₁₃₉	C₂²	1	2	yes	complemented
108	#385×C₁₃₉	C₂²	1	2	yes	—
109	#385×C₁₃₉	C₂²	1	2	yes	—
110	#385×C₁₃₉	C₂²	1	2	yes	—
111	#385×C₁₃₉	C₂²	1	2	yes	complemented
112	#385×C₁₃₉	C₂²	1	2	yes	complemented
113	#385×C₁₃₉	C₂²	1	2	yes	complemented
114	#381×C₁₃₉	C₂²	1	2	yes	complemented
115	#380×C₁₃₉	C₂²	1	1	yes	characteristic
116	#380×C₁₃₉	C₂²	1	1	yes	characteristic
117	#380×C₁₃₉	C₂²	1	1	yes	characteristic
118	#380×C₁₃₉	C₂²	1	1	yes	characteristic
119	#380×C₁₃₉	C₂²	1	1	yes	characteristic
120	#380×C₁₃₉	C₂²	1	1	yes	characteristic
121	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
122	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
123	#380×C₁₃₉	C₂²	1	2	yes	complemented
124	#379×C₁₃₉	C₂²	1	2	yes	—
125	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
126	C₂×#41×C₁₃₉	—	2	4	no	—
127	C₂×#41×C₁₃₉	—	4	2	no	—
128	C₂×#41×C₁₃₉	—	4	2	no	—
129	C₂×#41×C₁₃₉	—	4	2	no	—
130	C₂×#41×C₁₃₉	—	4	2	no	—
131	C₂×#41×C₁₃₉	D₄	1	8	yes	complemented
132	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
133	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
134	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
135	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
136	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
143	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
144	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
145	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
146	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₁₃₉	—	2	4	no	—
148	C₂³×C₄×C₁₃₉	—	4	2	no	—
149	C₂³×C₄×C₁₃₉	—	4	2	no	—
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	1	yes	characteristic
154	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
155	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
156	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
157	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
158	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
159	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
160	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
161	#123×C₁₃₉	—	2	4	no	—
162	#123×C₁₃₉	—	2	4	no	—
163	#123×C₁₃₉	—	4	4	no	—
164	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
165	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
166	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
167	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
168	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
169	C₂²⋊Q₈×C₁₃₉	—	4	2	no	—
170	C₂²⋊Q₈×C₁₃₉	—	4	2	no	—
171	#121×C₁₃₉	—	2	4	no	—
172	#121×C₁₃₉	—	2	4	no	—
173	#121×C₁₃₉	—	2	8	no	—
174	#121×C₁₃₉	—	2	8	no	—
175	#121×C₁₃₉	—	2	8	no	—
176	#121×C₁₃₉	—	2	4	no	—
177	#121×C₁₃₉	—	2	4	no	—
178	#121×C₁₃₉	—	4	4	no	—
179	#121×C₁₃₉	—	4	2	no	—
180	#121×C₁₃₉	—	4	2	no	—
181	#120×C₁₃₉	—	2	4	no	—
182	#120×C₁₃₉	—	2	4	no	—
183	#120×C₁₃₉	—	4	4	no	—
184	C₄×D₄×C₁₃₉	—	2	4	no	—
185	C₄×D₄×C₁₃₉	—	2	4	no	—
186	C₄×D₄×C₁₃₉	—	2	4	no	—
187	C₄×D₄×C₁₃₉	—	2	4	no	—
188	#117×C₁₃₉	—	2	4	no	—
189	#117×C₁₃₉	—	4	2	no	—
190	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
191	C₂×C₄⋊C₄×C₁₃₉	—	4	2	no	—
192	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
193	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
194	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
196	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
197	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
198	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
199	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
200	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
201	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
204	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
208	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
209	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
210	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
211	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
212	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
213	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
214	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
216	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
220	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
221	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
222	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
226	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
231	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
232	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
233	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
234	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
235	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
236	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
237	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
238	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
239	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
240	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
241	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
242	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
243	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
244	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	#95×C₁₃₉	C₂³	1	2	yes	—
249	#95×C₁₃₉	C₂³	1	2	yes	—
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	C₂⁴×C₁₃₉	—	2	2	no	—
265	C₂⁴×C₁₃₉	—	2	2	no	—
266	C₂⁴×C₁₃₉	—	2	2	no	—
267	C₂⁴×C₁₃₉	—	4	1	no	—
268	C₂⁴×C₁₃₉	—	4	1	no	—
269	C₂⁴×C₁₃₉	—	4	1	no	—
270	C₂⁴×C₁₃₉	—	4	1	no	—
271	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
272	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
273	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
274	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
275	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
276	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
277	#41×C₁₃₉	—	4	16	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	—	4	1	no	—
283	C₂×Q₈×C₁₃₉	—	4	1	no	—
284	C₂×Q₈×C₁₃₉	C₂×D₄	1	4	yes	—
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	4	no	—
290	C₂×D₄×C₁₃₉	—	2	2	no	—
291	C₂×D₄×C₁₃₉	—	2	2	no	—
292	C₂×D₄×C₁₃₉	—	2	2	no	—
293	C₂×D₄×C₁₃₉	—	2	2	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	2	no	—
300	C₂×D₄×C₁₃₉	—	2	2	no	—
301	C₂×D₄×C₁₃₉	—	4	1	no	—
302	C₂×D₄×C₁₃₉	—	4	1	no	—
303	C₂×D₄×C₁₃₉	—	4	1	no	—
304	C₂×D₄×C₁₃₉	—	4	1	no	—
305	C₂×D₄×C₁₃₉	—	4	1	no	—
306	C₂×D₄×C₁₃₉	—	4	1	no	—
307	C₂×D₄×C₁₃₉	—	4	1	no	—
308	C₂×D₄×C₁₃₉	—	4	1	no	—
309	C₂×D₄×C₁₃₉	—	4	1	no	—
310	C₂×D₄×C₁₃₉	—	4	1	no	—
311	C₂×D₄×C₁₃₉	—	4	2	no	—
312	C₂×D₄×C₁₃₉	—	4	2	no	—
313	C₂×D₄×C₁₃₉	—	4	2	no	—
314	C₂×D₄×C₁₃₉	—	4	2	no	—
315	C₂×D₄×C₁₃₉	—	4	2	no	—
316	C₂×D₄×C₁₃₉	—	4	2	no	—
317	C₂×D₄×C₁₃₉	—	4	2	no	—
318	C₂×D₄×C₁₃₉	—	4	2	no	—
319	C₂×D₄×C₁₃₉	—	4	2	no	—
320	C₂×D₄×C₁₃₉	—	4	2	no	—
321	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
322	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
323	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
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	2	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	2	no	—
335	C₂²×C₄×C₁₃₉	—	2	2	no	—
336	C₂²×C₄×C₁₃₉	—	2	4	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	2	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	1	no	—
345	C₂²×C₄×C₁₃₉	—	4	1	no	—
346	C₂²×C₄×C₁₃₉	—	4	1	no	—
347	C₂²×C₄×C₁₃₉	—	4	2	no	—
348	C₂²×C₄×C₁₃₉	—	4	2	no	—
349	C₂²×C₄×C₁₃₉	—	4	2	no	—
350	C₂²×C₄×C₁₃₉	—	4	2	no	—
351	C₂²×C₄×C₁₃₉	—	4	2	no	—
352	C₂²×C₄×C₁₃₉	—	4	2	no	—
353	C₂²×C₄×C₁₃₉	—	4	2	no	—
354	C₂²×C₄×C₁₃₉	—	4	16	no	—
355	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
356	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
357	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	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	2	yes	—
361	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
362	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
363	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
364	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
365	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
366	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
369	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
375	C₄⋊C₄×C₁₃₉	—	2	4	no	—
376	C₄⋊C₄×C₁₃₉	—	2	2	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	2	no	—
382	C₄⋊C₄×C₁₃₉	—	2	2	no	—
383	C₄⋊C₄×C₁₃₉	—	2	2	no	—
384	C₄⋊C₄×C₁₃₉	—	2	4	no	—
385	C₄⋊C₄×C₁₃₉	—	2	4	no	—
386	C₄⋊C₄×C₁₃₉	—	2	2	no	—
387	C₄⋊C₄×C₁₃₉	—	2	2	no	—
388	C₄⋊C₄×C₁₃₉	—	2	2	no	—
389	C₄⋊C₄×C₁₃₉	—	2	2	no	—
390	C₄⋊C₄×C₁₃₉	—	4	2	no	—
391	C₄⋊C₄×C₁₃₉	—	4	2	no	—
392	C₄⋊C₄×C₁₃₉	—	4	2	no	—
393	C₄⋊C₄×C₁₃₉	—	4	2	no	—
394	C₄⋊C₄×C₁₃₉	—	4	2	no	—
395	C₄⋊C₄×C₁₃₉	—	4	2	no	—
396	C₄⋊C₄×C₁₃₉	—	4	2	no	—
397	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
398	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
399	C₂²⋊C₄×C₁₃₉	—	2	2	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	4	no	—
404	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
405	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
406	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
407	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
408	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
409	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
410	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
411	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
412	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
413	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
414	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
415	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
416	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
417	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
418	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
419	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
420	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
421	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
422	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
423	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
424	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
425	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
426	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
427	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
428	C₄²×C₁₃₉	—	2	2	no	—
429	C₄²×C₁₃₉	—	2	2	no	—
430	C₄²×C₁₃₉	—	4	2	no	—
431	C₂³×C₁₃₉	—	2	1	no	—
432	C₂³×C₁₃₉	—	2	1	no	—
433	C₂³×C₁₃₉	—	2	1	no	—
434	C₂³×C₁₃₉	—	2	1	no	—
435	C₂³×C₁₃₉	—	2	1	no	—
436	C₂³×C₁₃₉	—	2	1	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	1	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	1	no	—
448	C₂³×C₁₃₉	—	2	1	no	—
449	C₂³×C₁₃₉	—	2	1	no	—
450	C₂³×C₁₃₉	—	2	1	no	—
451	C₂³×C₁₃₉	—	2	1	no	—
452	C₂³×C₁₃₉	—	2	1	no	—
453	C₂³×C₁₃₉	—	2	1	no	—
454	C₂³×C₁₃₉	—	2	1	no	—
455	C₂³×C₁₃₉	—	2	1	no	—
456	C₂³×C₁₃₉	—	2	1	no	—
457	C₂³×C₁₃₉	—	2	1	no	—
458	C₂³×C₁₃₉	—	2	1	no	—
459	C₂³×C₁₃₉	—	2	1	no	—
460	C₂³×C₁₃₉	—	2	1	no	—
461	C₂³×C₁₃₉	—	2	2	no	—
462	C₂³×C₁₃₉	—	2	2	no	—
463	C₂³×C₁₃₉	—	2	2	no	—
464	C₂³×C₁₃₉	—	2	2	no	—
465	C₂³×C₁₃₉	—	2	2	no	—
466	C₂³×C₁₃₉	—	2	2	no	—
467	C₂³×C₁₃₉	—	2	2	no	—
468	C₂³×C₁₃₉	—	4	4	no	—
469	C₂³×C₁₃₉	—	4	4	no	—
470	C₂³×C₁₃₉	—	4	4	no	—
471	C₂³×C₁₃₉	—	4	4	no	—
472	C₂³×C₁₃₉	—	4	4	no	—
473	C₂³×C₁₃₉	—	4	4	no	—
474	C₂³×C₁₃₉	—	4	4	no	—
475	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
476	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
477	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
478	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
479	C₂³×C₁₃₉	2₋¹⁺⁴	1	2	yes	—
480	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
481	Q₈×C₁₃₉	—	4	4	no	—
482	Q₈×C₁₃₉	—	4	4	no	—
483	D₄×C₁₃₉	—	4	4	no	—
484	D₄×C₁₃₉	—	4	4	no	—
485	D₄×C₁₃₉	—	4	4	no	—
486	D₄×C₁₃₉	—	4	4	no	—
487	D₄×C₁₃₉	—	4	4	no	—
488	D₄×C₁₃₉	—	4	4	no	—
489	D₄×C₁₃₉	—	4	4	no	—
490	D₄×C₁₃₉	—	4	8	no	—
491	D₄×C₁₃₉	—	4	4	no	—
492	D₄×C₁₃₉	—	8	4	no	—
493	D₄×C₁₃₉	—	8	4	no	—
494	D₄×C₁₃₉	—	8	4	no	—
495	D₄×C₁₃₉	—	8	4	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	8	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	1	no	—
509	C₂×C₄×C₁₃₉	—	2	2	no	—
510	C₂×C₄×C₁₃₉	—	2	2	no	—
511	C₂×C₄×C₁₃₉	—	2	1	no	—
512	C₂×C₄×C₁₃₉	—	2	1	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	1	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	2	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	1	no	—
530	C₂×C₄×C₁₃₉	—	2	1	no	—
531	C₂×C₄×C₁₃₉	—	2	1	no	—
532	C₂×C₄×C₁₃₉	—	2	1	no	—
533	C₂×C₄×C₁₃₉	—	2	2	no	—
534	C₂×C₄×C₁₃₉	—	2	2	no	—
535	C₂×C₄×C₁₃₉	—	2	2	no	—
536	C₂×C₄×C₁₃₉	—	2	2	no	—
537	C₂×C₄×C₁₃₉	—	2	1	no	—
538	C₂×C₄×C₁₃₉	—	2	1	no	—
539	C₂×C₄×C₁₃₉	—	2	1	no	—
540	C₂×C₄×C₁₃₉	—	2	2	no	—
541	C₂×C₄×C₁₃₉	—	2	2	no	—
542	C₂×C₄×C₁₃₉	—	2	1	no	—
543	C₂×C₄×C₁₃₉	—	2	2	no	—
544	C₂×C₄×C₁₃₉	—	4	4	no	—
545	C₂×C₄×C₁₃₉	—	4	4	no	—
546	C₂×C₄×C₁₃₉	—	4	8	no	—
547	C₂×C₄×C₁₃₉	—	4	4	no	—
548	C₂×C₄×C₁₃₉	—	4	4	no	—
549	C₂×C₄×C₁₃₉	—	4	4	no	—
550	C₂×C₄×C₁₃₉	—	8	4	no	—
551	C₂×C₄×C₁₃₉	—	8	4	no	—
552	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
553	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
554	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
555	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
556	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
557	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
558	C₂²×C₁₃₉	—	2	2	no	—
559	C₂²×C₁₃₉	—	2	2	no	—
560	C₂²×C₁₃₉	—	2	2	no	—
561	C₂²×C₁₃₉	—	2	2	no	—
562	C₂²×C₁₃₉	—	2	2	no	—
563	C₂²×C₁₃₉	—	2	2	no	—
564	C₂²×C₁₃₉	—	2	2	no	—
565	C₂²×C₁₃₉	—	2	2	no	—
566	C₂²×C₁₃₉	—	2	2	no	—
567	C₂²×C₁₃₉	—	2	2	no	—
568	C₂²×C₁₃₉	—	2	2	no	—
569	C₂²×C₁₃₉	—	2	2	no	—
570	C₂²×C₁₃₉	—	2	2	no	—
571	C₂²×C₁₃₉	—	2	2	no	—
572	C₂²×C₁₃₉	—	2	2	no	—
573	C₂²×C₁₃₉	—	4	16	no	—
574	C₂²×C₁₃₉	—	4	1	no	—
575	C₂²×C₁₃₉	—	4	1	no	—
576	C₂²×C₁₃₉	—	4	1	no	—
577	C₂²×C₁₃₉	—	4	1	no	—
578	C₂²×C₁₃₉	—	4	1	no	—
579	C₂²×C₁₃₉	—	4	1	no	—
580	C₂²×C₁₃₉	—	4	1	no	—
581	C₂²×C₁₃₉	—	4	1	no	—
582	C₂²×C₁₃₉	—	4	1	no	—
583	C₂²×C₁₃₉	—	4	1	no	—
584	C₂²×C₁₃₉	—	4	1	no	—
585	C₂²×C₁₃₉	—	4	1	no	—
586	C₂²×C₁₃₉	—	4	1	no	—
587	C₂²×C₁₃₉	—	4	1	no	—
588	C₂²×C₁₃₉	—	4	1	no	—
589	C₂²×C₁₃₉	—	4	1	no	—
590	C₂²×C₁₃₉	—	4	1	no	—
591	C₂²×C₁₃₉	—	4	1	no	—
592	C₂²×C₁₃₉	—	4	1	no	—
593	C₂²×C₁₃₉	—	4	1	no	—
594	C₂²×C₁₃₉	—	4	2	no	—
595	C₂²×C₁₃₉	—	4	2	no	—
596	C₂²×C₁₃₉	—	4	2	no	—
597	C₂²×C₁₃₉	—	4	2	no	—
598	C₂²×C₁₃₉	—	4	2	no	—
599	C₂²×C₁₃₉	—	4	2	no	—
600	C₂²×C₁₃₉	—	4	2	no	—
601	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
602	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
603	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
604	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
605	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
606	C₂²×C₁₃₉	#585	1	1	yes	characteristic
607	C₂²×C₁₃₉	#585	1	1	yes	characteristic
608	C₄×C₁₃₉	—	2	2	no	—
609	C₄×C₁₃₉	—	2	2	no	—
610	C₄×C₁₃₉	—	2	2	no	—
611	C₄×C₁₃₉	—	4	1	no	—
612	C₄×C₁₃₉	—	4	1	no	—
613	C₄×C₁₃₉	—	4	2	no	—
614	C₄×C₁₃₉	—	4	2	no	—
615	C₄×C₁₃₉	—	4	2	no	—
616	C₄×C₁₃₉	—	4	1	no	—
617	C₄×C₁₃₉	—	4	1	no	—
618	C₄×C₁₃₉	—	4	1	no	—
619	C₄×C₁₃₉	—	4	1	no	—
620	C₄×C₁₃₉	—	4	2	no	—
621	C₄×C₁₃₉	—	4	2	no	—
622	C₄×C₁₃₉	—	4	2	no	—
623	C₄×C₁₃₉	—	4	2	no	—
624	C₄×C₁₃₉	#534	1	4	yes	—
625	C₂×C₁₃₉	—	4	2	no	—
626	C₂×C₁₃₉	—	4	2	no	—
627	C₂×C₁₃₉	—	4	2	no	—
628	C₂×C₁₃₉	—	4	2	no	—
629	C₂×C₁₃₉	—	4	2	no	—
630	C₂×C₁₃₉	—	8	2	no	—
631	C₂×C₁₃₉	C₂×#534	1	1	yes	characteristic
632	C₂×C₁₃₉	#3488	1	1	yes	characteristic
633	C₂×C₁₃₉	#3489	1	1	yes	characteristic
634	C₂×C₁₃₉	#3536	1	1	yes	characteristic
635	C₂×C₁₃₉	#3539	1	1	yes	characteristic
636	C₂×C₁₃₉	#3541	1	1	yes	characteristic
637	C₂×C₁₃₉	#3542	1	1	yes	characteristic
638	#37268	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
639	C₁₃₉	#37268	1	1	yes	characteristic, direct product factor, Sylow
640	C₂×#537	C₂×C₁₃₉	1	1	yes	characteristic, complemented
641	C₂×#525	C₂×C₁₃₉	1	1	yes	characteristic, complemented
642	#2848	C₂×C₁₃₉	1	1	yes	characteristic, complemented
643	#2847	C₂×C₁₃₉	1	1	yes	characteristic, complemented
644	#2732	C₂×C₁₃₉	1	2	yes	complemented
645	#2728	C₂×C₁₃₉	1	2	yes	complemented
646	#2708	C₂×C₁₃₉	1	2	yes	complemented
647	#2701	C₂×C₁₃₉	1	2	yes	complemented
648	#2688	C₂×C₁₃₉	1	2	yes	complemented
649	#2678	C₂×C₁₃₉	1	2	yes	complemented
650	#2671	C₂×C₁₃₉	1	2	yes	complemented
651	#2668	C₂×C₁₃₉	1	2	yes	complemented
652	#2625	C₂×C₁₃₉	1	1	yes	characteristic, complemented
653	#2624	C₂×C₁₃₉	1	1	yes	characteristic, complemented
654	#2487	C₂×C₁₃₉	1	1	yes	characteristic, complemented
655	#2486	C₂×C₁₃₉	1	1	yes	characteristic, complemented
656	#2417	C₂×C₁₃₉	1	1	yes	characteristic, complemented
657	#2416	C₂×C₁₃₉	1	1	yes	characteristic, complemented
658	#2415	C₂×C₁₃₉	1	1	yes	characteristic, complemented
659	#2414	C₂×C₁₃₉	1	1	yes	characteristic, complemented
660	#2407	C₂×C₁₃₉	1	1	yes	characteristic, complemented
661	#2407	C₂×C₁₃₉	1	1	yes	characteristic, complemented
662	#2311	C₂×C₁₃₉	1	1	yes	characteristic, complemented
663	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic
664	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
665	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
666	#537	—	2	8	no	—
667	#525	—	2	8	no	—
668	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
669	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
670	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
671	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
672	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
673	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
674	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
675	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
676	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
677	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	complemented
678	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
679	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
680	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
681	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
682	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
683	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
684	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
685	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
686	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
687	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
688	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
689	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
690	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
691	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
692	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
693	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
694	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
695	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
696	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
697	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
698	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
699	#400	C₂²×C₁₃₉	1	2	yes	complemented
700	#400	C₂²×C₁₃₉	1	2	yes	complemented
701	#399	C₂²×C₁₃₉	1	2	yes	—
702	#399	C₂²×C₁₃₉	1	2	yes	complemented
703	#398	C₂²×C₁₃₉	1	2	yes	complemented
704	#398	C₂²×C₁₃₉	1	2	yes	complemented
705	#398	C₂²×C₁₃₉	1	2	yes	complemented
706	#397	C₂²×C₁₃₉	1	2	yes	—
707	#397	C₂²×C₁₃₉	1	2	yes	—
708	#397	C₂²×C₁₃₉	1	2	yes	—
709	#397	C₂²×C₁₃₉	1	2	yes	complemented
710	#397	C₂²×C₁₃₉	1	2	yes	complemented
711	#396	C₂²×C₁₃₉	1	2	yes	—
712	#396	C₂²×C₁₃₉	1	2	yes	complemented
713	#394	C₂²×C₁₃₉	1	2	yes	—
714	#394	C₂²×C₁₃₉	1	2	yes	—
715	#394	C₂²×C₁₃₉	1	2	yes	—
716	#394	C₂²×C₁₃₉	1	2	yes	—
717	#394	C₂²×C₁₃₉	1	2	yes	complemented
718	#394	C₂²×C₁₃₉	1	2	yes	complemented
719	#394	C₂²×C₁₃₉	1	2	yes	complemented
720	#392	C₂²×C₁₃₉	1	2	yes	—
721	#392	C₂²×C₁₃₉	1	2	yes	—
722	#392	C₂²×C₁₃₉	1	2	yes	—
723	#391	C₂²×C₁₃₉	1	2	yes	complemented
724	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
725	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
726	#390	C₂²×C₁₃₉	1	2	yes	—
727	#390	C₂²×C₁₃₉	1	2	yes	—
728	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
729	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
730	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
731	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
732	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
733	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
734	#389	C₂²×C₁₃₉	1	2	yes	complemented
735	#388	C₂²×C₁₃₉	1	2	yes	—
736	#388	C₂²×C₁₃₉	1	2	yes	complemented
737	#386	C₂²×C₁₃₉	1	2	yes	—
738	#386	C₂²×C₁₃₉	1	2	yes	—
739	#386	C₂²×C₁₃₉	1	2	yes	—
740	#386	C₂²×C₁₃₉	1	2	yes	—
741	#386	C₂²×C₁₃₉	1	2	yes	—
742	#386	C₂²×C₁₃₉	1	2	yes	—
743	#386	C₂²×C₁₃₉	1	2	yes	—
744	#386	C₂²×C₁₃₉	1	2	yes	—
745	#386	C₂²×C₁₃₉	1	2	yes	complemented
746	#386	C₂²×C₁₃₉	1	2	yes	complemented
747	#385	C₂²×C₁₃₉	1	2	yes	—
748	#385	C₂²×C₁₃₉	1	2	yes	—
749	#385	C₂²×C₁₃₉	1	2	yes	—
750	#385	C₂²×C₁₃₉	1	2	yes	complemented
751	#385	C₂²×C₁₃₉	1	2	yes	complemented
752	#385	C₂²×C₁₃₉	1	2	yes	complemented
753	#381	C₂²×C₁₃₉	1	2	yes	complemented
754	#380	C₂²×C₁₃₉	1	1	yes	characteristic
755	#380	C₂²×C₁₃₉	1	1	yes	characteristic
756	#380	C₂²×C₁₃₉	1	1	yes	characteristic
757	#380	C₂²×C₁₃₉	1	1	yes	characteristic
758	#380	C₂²×C₁₃₉	1	1	yes	characteristic
759	#380	C₂²×C₁₃₉	1	1	yes	characteristic
760	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
761	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
762	#380	C₂²×C₁₃₉	1	2	yes	complemented
763	#379	C₂²×C₁₃₉	1	2	yes	—
764	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
765	C₂×#41	—	2	4	no	—
766	C₂×#41	—	4	2	no	—
767	C₂×#41	—	4	2	no	—
768	C₂×#41	—	4	2	no	—
769	C₂×#41	—	4	2	no	—
770	C₂×#41	D₄×C₁₃₉	1	8	yes	complemented
771	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
772	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
773	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
774	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
775	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
776	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
777	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
778	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
779	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
780	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
781	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
782	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
783	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
784	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
785	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
786	C₂³×C₄	—	2	4	no	—
787	C₂³×C₄	—	4	2	no	—
788	C₂³×C₄	—	4	2	no	—
789	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
790	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
791	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
792	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
793	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
794	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
795	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
796	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
797	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
798	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
799	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
800	#123	—	2	4	no	—
801	#123	—	2	4	no	—
802	#123	—	4	4	no	—
803	C₂²⋊Q₈	—	2	4	no	—
804	C₂²⋊Q₈	—	2	4	no	—
805	C₂²⋊Q₈	—	2	8	no	—
806	C₂²⋊Q₈	—	2	4	no	—
807	C₂²⋊Q₈	—	2	4	no	—
808	C₂²⋊Q₈	—	4	2	no	—
809	C₂²⋊Q₈	—	4	2	no	—
810	#121	—	2	4	no	—
811	#121	—	2	4	no	—
812	#121	—	2	8	no	—
813	#121	—	2	8	no	—
814	#121	—	2	8	no	—
815	#121	—	2	4	no	—
816	#121	—	2	4	no	—
817	#121	—	4	4	no	—
818	#121	—	4	2	no	—
819	#121	—	4	2	no	—
820	#120	—	2	4	no	—
821	#120	—	2	4	no	—
822	#120	—	4	4	no	—
823	C₄×D₄	—	2	4	no	—
824	C₄×D₄	—	2	4	no	—
825	C₄×D₄	—	2	4	no	—
826	C₄×D₄	—	2	4	no	—
827	#117	—	2	4	no	—
828	#117	—	4	2	no	—
829	C₂×C₄⋊C₄	—	2	4	no	—
830	C₂×C₄⋊C₄	—	4	2	no	—
831	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
832	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
833	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
834	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
835	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
836	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
837	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
838	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
839	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
840	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
841	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
842	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
843	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
844	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
845	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
846	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
847	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
848	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
849	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
850	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
851	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
852	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
853	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
854	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
855	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
856	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
857	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
858	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
859	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
860	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
861	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
862	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
863	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
864	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
865	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
866	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
867	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
868	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
869	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
870	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
871	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
872	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
873	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
874	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
875	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
876	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
877	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
878	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
879	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
880	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
881	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
882	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
883	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
884	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
885	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
886	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
887	#95	C₂³×C₁₃₉	1	2	yes	—
888	#95	C₂³×C₁₃₉	1	2	yes	—
889	#95	C₂³×C₁₃₉	1	2	yes	—
890	#95	C₂³×C₁₃₉	1	2	yes	—
891	#95	C₂³×C₁₃₉	1	2	yes	—
892	#95	C₂³×C₁₃₉	1	2	yes	—
893	#95	C₂³×C₁₃₉	1	2	yes	—
894	#95	C₂³×C₁₃₉	1	2	yes	—
895	#95	C₂³×C₁₃₉	1	2	yes	—
896	#95	C₂³×C₁₃₉	1	2	yes	—
897	#95	C₂³×C₁₃₉	1	2	yes	—
898	#95	C₂³×C₁₃₉	1	2	yes	—
899	#95	C₂³×C₁₃₉	1	2	yes	—
900	#95	C₂³×C₁₃₉	1	2	yes	—
901	#95	C₂³×C₁₃₉	1	2	yes	—
902	#95	C₂³×C₁₃₉	1	2	yes	—
903	C₂⁴	—	2	2	no	—
904	C₂⁴	—	2	2	no	—
905	C₂⁴	—	2	2	no	—
906	C₂⁴	—	4	1	no	—
907	C₂⁴	—	4	1	no	—
908	C₂⁴	—	4	1	no	—
909	C₂⁴	—	4	1	no	—
910	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
911	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
912	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
913	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
914	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
915	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
916	#41	—	4	16	no	—
917	#41	—	4	16	no	—
918	C₂×Q₈	—	2	2	no	—
919	C₂×Q₈	—	2	2	no	—
920	C₂×Q₈	—	2	2	no	—
921	C₂×Q₈	—	4	1	no	—
922	C₂×Q₈	—	4	1	no	—
923	C₂×Q₈	C₂×D₄×C₁₃₉	1	4	yes	—
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	4	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	2	no	—
931	C₂×D₄	—	2	2	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	4	no	—
934	C₂×D₄	—	2	4	no	—
935	C₂×D₄	—	2	4	no	—
936	C₂×D₄	—	2	4	no	—
937	C₂×D₄	—	2	2	no	—
938	C₂×D₄	—	2	2	no	—
939	C₂×D₄	—	2	2	no	—
940	C₂×D₄	—	4	1	no	—
941	C₂×D₄	—	4	1	no	—
942	C₂×D₄	—	4	1	no	—
943	C₂×D₄	—	4	1	no	—
944	C₂×D₄	—	4	1	no	—
945	C₂×D₄	—	4	1	no	—
946	C₂×D₄	—	4	1	no	—
947	C₂×D₄	—	4	1	no	—
948	C₂×D₄	—	4	1	no	—
949	C₂×D₄	—	4	1	no	—
950	C₂×D₄	—	4	2	no	—
951	C₂×D₄	—	4	2	no	—
952	C₂×D₄	—	4	2	no	—
953	C₂×D₄	—	4	2	no	—
954	C₂×D₄	—	4	2	no	—
955	C₂×D₄	—	4	2	no	—
956	C₂×D₄	—	4	2	no	—
957	C₂×D₄	—	4	2	no	—
958	C₂×D₄	—	4	2	no	—
959	C₂×D₄	—	4	2	no	—
960	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
961	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
962	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
963	C₂²×C₄	—	2	2	no	—
964	C₂²×C₄	—	2	2	no	—
965	C₂²×C₄	—	2	2	no	—
966	C₂²×C₄	—	2	2	no	—
967	C₂²×C₄	—	2	2	no	—
968	C₂²×C₄	—	2	2	no	—
969	C₂²×C₄	—	2	2	no	—
970	C₂²×C₄	—	2	4	no	—
971	C₂²×C₄	—	2	2	no	—
972	C₂²×C₄	—	2	2	no	—
973	C₂²×C₄	—	2	2	no	—
974	C₂²×C₄	—	2	2	no	—
975	C₂²×C₄	—	2	4	no	—
976	C₂²×C₄	—	2	2	no	—
977	C₂²×C₄	—	2	2	no	—
978	C₂²×C₄	—	2	2	no	—
979	C₂²×C₄	—	2	2	no	—
980	C₂²×C₄	—	4	1	no	—
981	C₂²×C₄	—	4	1	no	—
982	C₂²×C₄	—	4	1	no	—
983	C₂²×C₄	—	4	1	no	—
984	C₂²×C₄	—	4	1	no	—
985	C₂²×C₄	—	4	1	no	—
986	C₂²×C₄	—	4	2	no	—
987	C₂²×C₄	—	4	2	no	—
988	C₂²×C₄	—	4	2	no	—
989	C₂²×C₄	—	4	2	no	—
990	C₂²×C₄	—	4	2	no	—
991	C₂²×C₄	—	4	2	no	—
992	C₂²×C₄	—	4	2	no	—
993	C₂²×C₄	—	4	16	no	—
994	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
995	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
996	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
997	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
998	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
999	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1000	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1001	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1002	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1003	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1004	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1005	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1006	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1007	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1008	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1009	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1010	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1011	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1012	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1013	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1014	C₄⋊C₄	—	2	4	no	—
1015	C₄⋊C₄	—	2	2	no	—
1016	C₄⋊C₄	—	2	2	no	—
1017	C₄⋊C₄	—	2	2	no	—
1018	C₄⋊C₄	—	2	2	no	—
1019	C₄⋊C₄	—	2	2	no	—
1020	C₄⋊C₄	—	2	2	no	—
1021	C₄⋊C₄	—	2	2	no	—
1022	C₄⋊C₄	—	2	2	no	—
1023	C₄⋊C₄	—	2	4	no	—
1024	C₄⋊C₄	—	2	4	no	—
1025	C₄⋊C₄	—	2	2	no	—
1026	C₄⋊C₄	—	2	2	no	—
1027	C₄⋊C₄	—	2	2	no	—
1028	C₄⋊C₄	—	2	2	no	—
1029	C₄⋊C₄	—	4	2	no	—
1030	C₄⋊C₄	—	4	2	no	—
1031	C₄⋊C₄	—	4	2	no	—
1032	C₄⋊C₄	—	4	2	no	—
1033	C₄⋊C₄	—	4	2	no	—
1034	C₄⋊C₄	—	4	2	no	—
1035	C₄⋊C₄	—	4	2	no	—
1036	C₂²⋊C₄	—	2	2	no	—
1037	C₂²⋊C₄	—	2	2	no	—
1038	C₂²⋊C₄	—	2	2	no	—
1039	C₂²⋊C₄	—	2	2	no	—
1040	C₂²⋊C₄	—	2	2	no	—
1041	C₂²⋊C₄	—	2	2	no	—
1042	C₂²⋊C₄	—	2	4	no	—
1043	C₂²⋊C₄	—	2	4	no	—
1044	C₂²⋊C₄	—	2	4	no	—
1045	C₂²⋊C₄	—	2	4	no	—
1046	C₂²⋊C₄	—	2	2	no	—
1047	C₂²⋊C₄	—	2	2	no	—
1048	C₂²⋊C₄	—	2	2	no	—
1049	C₂²⋊C₄	—	2	2	no	—
1050	C₂²⋊C₄	—	2	4	no	—
1051	C₂²⋊C₄	—	2	4	no	—
1052	C₂²⋊C₄	—	4	2	no	—
1053	C₂²⋊C₄	—	4	2	no	—
1054	C₂²⋊C₄	—	4	2	no	—
1055	C₂²⋊C₄	—	4	2	no	—
1056	C₂²⋊C₄	—	4	2	no	—
1057	C₂²⋊C₄	—	4	2	no	—
1058	C₂²⋊C₄	—	4	2	no	—
1059	C₂²⋊C₄	—	4	2	no	—
1060	C₂²⋊C₄	—	4	2	no	—
1061	C₂²⋊C₄	—	4	2	no	—
1062	C₂²⋊C₄	—	4	2	no	—
1063	C₂²⋊C₄	—	4	2	no	—
1064	C₂²⋊C₄	—	4	2	no	—
1065	C₂²⋊C₄	—	4	2	no	—
1066	C₂²⋊C₄	—	4	2	no	—
1067	C₄²	—	2	2	no	—
1068	C₄²	—	2	2	no	—
1069	C₄²	—	4	2	no	—
1070	C₂³	—	2	1	no	—
1071	C₂³	—	2	1	no	—
1072	C₂³	—	2	1	no	—
1073	C₂³	—	2	1	no	—
1074	C₂³	—	2	1	no	—
1075	C₂³	—	2	1	no	—
1076	C₂³	—	2	1	no	—
1077	C₂³	—	2	1	no	—
1078	C₂³	—	2	1	no	—
1079	C₂³	—	2	1	no	—
1080	C₂³	—	2	1	no	—
1081	C₂³	—	2	1	no	—
1082	C₂³	—	2	1	no	—
1083	C₂³	—	2	1	no	—
1084	C₂³	—	2	1	no	—
1085	C₂³	—	2	1	no	—
1086	C₂³	—	2	1	no	—
1087	C₂³	—	2	1	no	—
1088	C₂³	—	2	1	no	—
1089	C₂³	—	2	1	no	—
1090	C₂³	—	2	1	no	—
1091	C₂³	—	2	1	no	—
1092	C₂³	—	2	1	no	—
1093	C₂³	—	2	1	no	—
1094	C₂³	—	2	1	no	—
1095	C₂³	—	2	1	no	—
1096	C₂³	—	2	1	no	—
1097	C₂³	—	2	1	no	—
1098	C₂³	—	2	1	no	—
1099	C₂³	—	2	1	no	—
1100	C₂³	—	2	2	no	—
1101	C₂³	—	2	2	no	—
1102	C₂³	—	2	2	no	—
1103	C₂³	—	2	2	no	—
1104	C₂³	—	2	2	no	—
1105	C₂³	—	2	2	no	—
1106	C₂³	—	2	2	no	—
1107	C₂³	—	4	4	no	—
1108	C₂³	—	4	4	no	—
1109	C₂³	—	4	4	no	—
1110	C₂³	—	4	4	no	—
1111	C₂³	—	4	4	no	—
1112	C₂³	—	4	4	no	—
1113	C₂³	—	4	4	no	—
1114	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1115	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1116	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1117	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1118	C₂³	2₋¹⁺⁴×C₁₃₉	1	2	yes	—
1119	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1120	Q₈	—	4	4	no	—
1121	Q₈	—	4	4	no	—
1122	D₄	—	4	4	no	—
1123	D₄	—	4	4	no	—
1124	D₄	—	4	4	no	—
1125	D₄	—	4	4	no	—
1126	D₄	—	4	4	no	—
1127	D₄	—	4	4	no	—
1128	D₄	—	4	4	no	—
1129	D₄	—	4	8	no	—
1130	D₄	—	4	4	no	—
1131	D₄	—	8	4	no	—
1132	D₄	—	8	4	no	—
1133	D₄	—	8	4	no	—
1134	D₄	—	8	4	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	8	no	—
1142	C₂×C₄	—	2	8	no	—
1143	C₂×C₄	—	2	8	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	2	no	—
1149	C₂×C₄	—	2	2	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	2	no	—
1153	C₂×C₄	—	2	2	no	—
1154	C₂×C₄	—	2	2	no	—
1155	C₂×C₄	—	2	2	no	—
1156	C₂×C₄	—	2	2	no	—
1157	C₂×C₄	—	2	2	no	—
1158	C₂×C₄	—	2	2	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	2	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	2	no	—
1164	C₂×C₄	—	2	2	no	—
1165	C₂×C₄	—	2	2	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	2	no	—
1174	C₂×C₄	—	2	2	no	—
1175	C₂×C₄	—	2	2	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	2	no	—
1180	C₂×C₄	—	2	2	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	2	no	—
1183	C₂×C₄	—	4	4	no	—
1184	C₂×C₄	—	4	4	no	—
1185	C₂×C₄	—	4	8	no	—
1186	C₂×C₄	—	4	4	no	—
1187	C₂×C₄	—	4	4	no	—
1188	C₂×C₄	—	4	4	no	—
1189	C₂×C₄	—	8	4	no	—
1190	C₂×C₄	—	8	4	no	—
1191	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1192	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1193	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1194	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1195	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1196	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1197	C₂²	—	2	2	no	—
1198	C₂²	—	2	2	no	—
1199	C₂²	—	2	2	no	—
1200	C₂²	—	2	2	no	—
1201	C₂²	—	2	2	no	—
1202	C₂²	—	2	2	no	—
1203	C₂²	—	2	2	no	—
1204	C₂²	—	2	2	no	—
1205	C₂²	—	2	2	no	—
1206	C₂²	—	2	2	no	—
1207	C₂²	—	2	2	no	—
1208	C₂²	—	2	2	no	—
1209	C₂²	—	2	2	no	—
1210	C₂²	—	2	2	no	—
1211	C₂²	—	2	2	no	—
1212	C₂²	—	4	16	no	—
1213	C₂²	—	4	1	no	—
1214	C₂²	—	4	1	no	—
1215	C₂²	—	4	1	no	—
1216	C₂²	—	4	1	no	—
1217	C₂²	—	4	1	no	—
1218	C₂²	—	4	1	no	—
1219	C₂²	—	4	1	no	—
1220	C₂²	—	4	1	no	—
1221	C₂²	—	4	1	no	—
1222	C₂²	—	4	1	no	—
1223	C₂²	—	4	1	no	—
1224	C₂²	—	4	1	no	—
1225	C₂²	—	4	1	no	—
1226	C₂²	—	4	1	no	—
1227	C₂²	—	4	1	no	—
1228	C₂²	—	4	1	no	—
1229	C₂²	—	4	1	no	—
1230	C₂²	—	4	1	no	—
1231	C₂²	—	4	1	no	—
1232	C₂²	—	4	1	no	—
1233	C₂²	—	4	2	no	—
1234	C₂²	—	4	2	no	—
1235	C₂²	—	4	2	no	—
1236	C₂²	—	4	2	no	—
1237	C₂²	—	4	2	no	—
1238	C₂²	—	4	2	no	—
1239	C₂²	—	4	2	no	—
1240	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1241	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1242	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1243	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1244	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	1	yes	characteristic
1245	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1246	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1247	C₄	—	2	2	no	—
1248	C₄	—	2	2	no	—
1249	C₄	—	2	2	no	—
1250	C₄	—	4	2	no	—
1251	C₄	—	4	2	no	—
1252	C₄	—	4	2	no	—
1253	C₄	—	4	2	no	—
1254	C₄	—	4	1	no	—
1255	C₄	—	4	1	no	—
1256	C₄	—	4	2	no	—
1257	C₄	—	4	2	no	—
1258	C₄	—	4	2	no	—
1259	C₄	—	4	1	no	—
1260	C₄	—	4	1	no	—
1261	C₄	—	4	1	no	—
1262	C₄	—	4	1	no	—
1263	C₄	#534×C₁₃₉	1	4	yes	—
1264	C₂	—	4	2	no	—
1265	C₂	—	4	2	no	—
1266	C₂	—	4	2	no	—
1267	C₂	—	4	2	no	—
1268	C₂	—	4	2	no	—
1269	C₂	—	8	2	no	—
1270	C₂	C₂×#534×C₁₃₉	1	1	yes	characteristic
1271	C₂	#3488×C₁₃₉	1	1	yes	characteristic
1272	C₂	#3489×C₁₃₉	1	1	yes	characteristic
1273	C₂	#3536×C₁₃₉	1	1	yes	characteristic
1274	C₂	#3539×C₁₃₉	1	1	yes	characteristic
1275	C₂	#3541×C₁₃₉	1	1	yes	characteristic
1276	C₂	#3542×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×#537×C₁₃₉	C₂	semidirect
2. C₂×#525×C₁₃₉	C₂	semidirect
3. #2848×C₁₃₉	C₂	semidirect
4. #2847×C₁₃₉	C₂	semidirect
5. #2732×C₁₃₉	C₂	semidirect
6. #2728×C₁₃₉	C₂	semidirect
7. #2708×C₁₃₉	C₂	semidirect
8. #2701×C₁₃₉	C₂	semidirect
9. #2688×C₁₃₉	C₂	semidirect
10. #2678×C₁₃₉	C₂	semidirect
11. #2671×C₁₃₉	C₂	semidirect
12. #2668×C₁₃₉	C₂	semidirect
13. #2625×C₁₃₉	C₂	semidirect
14. #2624×C₁₃₉	C₂	semidirect
15. #2487×C₁₃₉	C₂	semidirect
16. #2486×C₁₃₉	C₂	semidirect
17. #2417×C₁₃₉	C₂	semidirect
18. #2416×C₁₃₉	C₂	semidirect
19. #2415×C₁₃₉	C₂	semidirect
20. #2414×C₁₃₉	C₂	semidirect
21. #2407×C₁₃₉	C₂	semidirect
22. #2407×C₁₃₉	C₂	semidirect
23. #2311×C₁₃₉	C₂	semidirect
25. C₂²×#41×C₁₃₉	C₂²	semidirect
37. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
38. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
47. C₂×#121×C₁₃₉	C₂²	semidirect
48. C₂×#121×C₁₃₉	C₂²	semidirect
57. C₂×#117×C₁₃₉	C₂²	semidirect
58. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
59. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
60. #400×C₁₃₉	C₂²	semidirect
61. #400×C₁₃₉	C₂²	semidirect
63. #399×C₁₃₉	C₂²	semidirect
64. #398×C₁₃₉	C₂²	semidirect
65. #398×C₁₃₉	C₂²	semidirect
66. #398×C₁₃₉	C₂²	semidirect
70. #397×C₁₃₉	C₂²	semidirect
71. #397×C₁₃₉	C₂²	semidirect
73. #396×C₁₃₉	C₂²	semidirect
78. #394×C₁₃₉	C₂²	semidirect
79. #394×C₁₃₉	C₂²	semidirect
80. #394×C₁₃₉	C₂²	semidirect
84. #391×C₁₃₉	C₂²	semidirect
85. #391×C₁₃₉	C₂²	semidirect
86. #391×C₁₃₉	C₂²	semidirect
89. #390×C₁₃₉	C₂²	semidirect
90. #390×C₁₃₉	C₂²	semidirect
91. #389×C₁₃₉	C₂²	semidirect
92. #389×C₁₃₉	C₂²	semidirect
93. #389×C₁₃₉	C₂²	semidirect
94. #389×C₁₃₉	C₂²	semidirect
95. #389×C₁₃₉	C₂²	semidirect
97. #388×C₁₃₉	C₂²	semidirect
106. #386×C₁₃₉	C₂²	semidirect
107. #386×C₁₃₉	C₂²	semidirect
111. #385×C₁₃₉	C₂²	semidirect
112. #385×C₁₃₉	C₂²	semidirect
113. #385×C₁₃₉	C₂²	semidirect
114. #381×C₁₃₉	C₂²	semidirect
121. #380×C₁₃₉	C₂²	semidirect
122. #380×C₁₃₉	C₂²	semidirect
123. #380×C₁₃₉	C₂²	semidirect
131. C₂×#41×C₁₃₉	D₄	semidirect
638. #37268	C₁₃₉	direct (N × H)
639. C₁₃₉	#37268	direct (N × H)
640. C₂×#537	C₂×C₁₃₉	semidirect
641. C₂×#525	C₂×C₁₃₉	semidirect
642. #2848	C₂×C₁₃₉	semidirect
643. #2847	C₂×C₁₃₉	semidirect
644. #2732	C₂×C₁₃₉	semidirect
645. #2728	C₂×C₁₃₉	semidirect
646. #2708	C₂×C₁₃₉	semidirect
647. #2701	C₂×C₁₃₉	semidirect
648. #2688	C₂×C₁₃₉	semidirect
649. #2678	C₂×C₁₃₉	semidirect
650. #2671	C₂×C₁₃₉	semidirect
651. #2668	C₂×C₁₃₉	semidirect
652. #2625	C₂×C₁₃₉	semidirect
653. #2624	C₂×C₁₃₉	semidirect
654. #2487	C₂×C₁₃₉	semidirect
655. #2486	C₂×C₁₃₉	semidirect
656. #2417	C₂×C₁₃₉	semidirect
657. #2416	C₂×C₁₃₉	semidirect
658. #2415	C₂×C₁₃₉	semidirect
659. #2414	C₂×C₁₃₉	semidirect
660. #2407	C₂×C₁₃₉	semidirect
661. #2407	C₂×C₁₃₉	semidirect
662. #2311	C₂×C₁₃₉	semidirect
664. C₂²×#41	C₂²×C₁₃₉	semidirect
676. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
677. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
686. C₂×#121	C₂²×C₁₃₉	semidirect
687. C₂×#121	C₂²×C₁₃₉	semidirect
696. C₂×#117	C₂²×C₁₃₉	semidirect
697. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
698. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
699. #400	C₂²×C₁₃₉	semidirect
700. #400	C₂²×C₁₃₉	semidirect
702. #399	C₂²×C₁₃₉	semidirect
703. #398	C₂²×C₁₃₉	semidirect
704. #398	C₂²×C₁₃₉	semidirect
705. #398	C₂²×C₁₃₉	semidirect
709. #397	C₂²×C₁₃₉	semidirect
710. #397	C₂²×C₁₃₉	semidirect
712. #396	C₂²×C₁₃₉	semidirect
717. #394	C₂²×C₁₃₉	semidirect
718. #394	C₂²×C₁₃₉	semidirect
719. #394	C₂²×C₁₃₉	semidirect
723. #391	C₂²×C₁₃₉	semidirect
724. #391	C₂²×C₁₃₉	semidirect
725. #391	C₂²×C₁₃₉	semidirect
728. #390	C₂²×C₁₃₉	semidirect
729. #390	C₂²×C₁₃₉	semidirect
730. #389	C₂²×C₁₃₉	semidirect
731. #389	C₂²×C₁₃₉	semidirect
732. #389	C₂²×C₁₃₉	semidirect
733. #389	C₂²×C₁₃₉	semidirect
734. #389	C₂²×C₁₃₉	semidirect
736. #388	C₂²×C₁₃₉	semidirect
745. #386	C₂²×C₁₃₉	semidirect
746. #386	C₂²×C₁₃₉	semidirect
750. #385	C₂²×C₁₃₉	semidirect
751. #385	C₂²×C₁₃₉	semidirect
752. #385	C₂²×C₁₃₉	semidirect
753. #381	C₂²×C₁₃₉	semidirect
760. #380	C₂²×C₁₃₉	semidirect
761. #380	C₂²×C₁₃₉	semidirect
762. #380	C₂²×C₁₃₉	semidirect
770. C₂×#41	D₄×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#537×C₁₃₉	2
C₂×#525×C₁₃₉	2
#2848×C₁₃₉	2
#2847×C₁₃₉	2
#2732×C₁₃₉	2
#2728×C₁₃₉	2
#2708×C₁₃₉	2
#2701×C₁₃₉	2
#2688×C₁₃₉	2
#2678×C₁₃₉	2
#2671×C₁₃₉	2
#2668×C₁₃₉	2
#2625×C₁₃₉	2
#2624×C₁₃₉	2
#2487×C₁₃₉	2
#2486×C₁₃₉	2
#2417×C₁₃₉	2
#2416×C₁₃₉	2
#2415×C₁₃₉	2
#2414×C₁₃₉	2
#2407×C₁₃₉	2
#2311×C₁₃₉	2
#37268	139

Subgroups — C139×#37268 #48031864

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#37268 #48031864