Subgroups — C₁₃₉×#36096 #48030692

Order 35584.

3928 conjugacy classes of subgroups.

The subgroup lattice has 1450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#546×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#525×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×#121×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×C₄×D₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2850×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2848×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2847×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2540×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2535×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2464×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2456×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2443×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2424×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2418×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2417×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2414×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2408×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2407×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2403×C₁₃₉	C₂	1	2	yes	maximal, complemented
20	#2358×C₁₃₉	C₂	1	2	yes	maximal, complemented
21	#2352×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	D₄×C₂²⋊C₄×C₁₃₉	C₂	1	2	yes	maximal, complemented
23	C₄×#121×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
25	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂³×D₄×C₁₃₉	C₂²	1	2	yes	—
27	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
28	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
29	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
30	#546×C₁₃₉	—	2	8	no	—
31	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
32	#525×C₁₃₉	—	2	8	no	—
33	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
34	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
35	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
39	C₂×#121×C₁₃₉	—	2	8	no	—
40	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
41	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
42	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
44	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
45	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
46	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
47	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
48	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
49	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
50	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
51	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
52	C₂×#120×C₁₃₉	C₂²	1	2	yes	complemented
53	C₂×#120×C₁₃₉	C₂²	1	2	yes	complemented
54	C₂×C₄×D₄×C₁₃₉	—	2	8	no	—
55	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
57	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
59	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
62	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
63	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
67	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
68	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
69	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
70	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
71	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
72	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
73	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
74	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
75	#399×C₁₃₉	C₂²	1	2	yes	complemented
76	#398×C₁₃₉	C₂²	1	2	yes	complemented
77	#397×C₁₃₉	C₂²	1	2	yes	complemented
78	#396×C₁₃₉	C₂²	1	2	yes	complemented
79	#394×C₁₃₉	C₂²	1	2	yes	complemented
80	#394×C₁₃₉	C₂²	1	2	yes	complemented
81	#394×C₁₃₉	C₂²	1	2	yes	complemented
82	#392×C₁₃₉	C₂²	1	2	yes	complemented
83	#392×C₁₃₉	C₂²	1	2	yes	complemented
84	#392×C₁₃₉	C₂²	1	2	yes	complemented
85	#392×C₁₃₉	C₂²	1	2	yes	complemented
86	#392×C₁₃₉	C₂²	1	2	yes	complemented
87	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
88	#390×C₁₃₉	C₂²	1	2	yes	complemented
89	#390×C₁₃₉	C₂²	1	2	yes	complemented
90	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
91	#390×C₁₃₉	C₂²	1	2	yes	complemented
92	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
93	#389×C₁₃₉	C₂²	1	1	yes	characteristic, 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	#388×C₁₃₉	C₂²	1	2	yes	complemented
98	#388×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	#386×C₁₃₉	C₂²	1	2	yes	complemented
110	#386×C₁₃₉	C₂²	1	2	yes	complemented
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	#385×C₁₃₉	C₂²	1	2	yes	complemented
115	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
116	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
117	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
118	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
119	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
120	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
121	#380×C₁₃₉	C₂²	1	2	yes	complemented
122	#379×C₁₃₉	C₂²	1	2	yes	—
123	#379×C₁₃₉	C₂²	1	2	yes	complemented
124	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
125	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
126	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
127	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
128	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
129	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
130	C₂×#41×C₁₃₉	—	2	4	no	—
131	C₂×#41×C₁₃₉	—	2	4	no	—
132	C₂×#41×C₁₃₉	—	4	2	no	—
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	—	2	4	no	—
137	C₂²×D₄×C₁₃₉	—	2	8	no	—
138	C₂²×D₄×C₁₃₉	—	2	8	no	—
139	C₂²×D₄×C₁₃₉	—	2	4	no	—
140	C₂²×D₄×C₁₃₉	—	2	4	no	—
141	C₂²×D₄×C₁₃₉	—	4	2	no	—
142	C₂²×D₄×C₁₃₉	—	4	4	no	—
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	1	yes	characteristic
147	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
148	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
149	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
150	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
151	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
152	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
153	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
154	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
155	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
156	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
157	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
158	C₂³×C₄×C₁₃₉	—	2	4	no	—
159	C₂³×C₄×C₁₃₉	—	2	4	no	—
160	C₂³×C₄×C₁₃₉	—	2	4	no	—
161	C₂³×C₄×C₁₃₉	—	2	4	no	—
162	C₂³×C₄×C₁₃₉	—	4	2	no	—
163	C₂³×C₄×C₁₃₉	—	4	2	no	—
164	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
165	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
166	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
167	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
168	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
169	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
170	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
171	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
172	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
173	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
174	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
175	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
176	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
177	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
178	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
179	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
180	#124×C₁₃₉	—	2	4	no	—
181	#123×C₁₃₉	—	2	8	no	—
182	#123×C₁₃₉	—	2	8	no	—
183	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
184	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
185	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
186	C₂²⋊Q₈×C₁₃₉	—	4	2	no	—
187	#121×C₁₃₉	—	2	8	no	—
188	#121×C₁₃₉	—	2	4	no	—
189	#121×C₁₃₉	—	2	4	no	—
190	#121×C₁₃₉	—	2	4	no	—
191	#121×C₁₃₉	—	2	4	no	—
192	#121×C₁₃₉	—	2	4	no	—
193	#121×C₁₃₉	—	2	8	no	—
194	#121×C₁₃₉	—	2	8	no	—
195	#121×C₁₃₉	—	4	2	no	—
196	#121×C₁₃₉	D₄	1	8	yes	complemented
197	#120×C₁₃₉	—	2	8	no	—
198	#120×C₁₃₉	—	2	8	no	—
199	#120×C₁₃₉	—	2	8	no	—
200	#120×C₁₃₉	—	4	4	no	—
201	C₄×D₄×C₁₃₉	—	2	4	no	—
202	C₄×D₄×C₁₃₉	—	2	8	no	—
203	C₄×D₄×C₁₃₉	—	2	4	no	—
204	C₄×D₄×C₁₃₉	—	2	4	no	—
205	C₄×D₄×C₁₃₉	—	2	4	no	—
206	C₄×D₄×C₁₃₉	—	2	4	no	—
207	C₄×D₄×C₁₃₉	—	2	4	no	—
208	C₄×D₄×C₁₃₉	—	2	8	no	—
209	C₄×D₄×C₁₃₉	—	2	4	no	—
210	C₄×D₄×C₁₃₉	—	2	4	no	—
211	C₄×D₄×C₁₃₉	—	4	4	no	—
212	C₄×D₄×C₁₃₉	D₄	1	8	yes	complemented
213	#117×C₁₃₉	—	2	4	no	—
214	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
215	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
216	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
217	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
218	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
221	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
226	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
228	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
229	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
232	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
233	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
234	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
235	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
243	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
248	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
249	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
250	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
251	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
252	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
253	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
254	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
255	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
256	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
257	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
258	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
259	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
260	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
261	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
262	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
263	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
264	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
267	C₂×C₄²×C₁₃₉	—	2	4	no	—
268	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
269	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
270	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
271	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
272	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
273	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
274	#95×C₁₃₉	C₂³	1	2	yes	—
275	#95×C₁₃₉	C₂³	1	2	yes	—
276	#95×C₁₃₉	C₂³	1	2	yes	—
277	#95×C₁₃₉	C₂³	1	2	yes	—
278	#95×C₁₃₉	C₂³	1	2	yes	—
279	#95×C₁₃₉	C₂³	1	2	yes	—
280	#95×C₁₃₉	C₂³	1	2	yes	—
281	#95×C₁₃₉	C₂³	1	2	yes	—
282	#95×C₁₃₉	C₂³	1	2	yes	—
283	#95×C₁₃₉	C₂³	1	2	yes	—
284	#95×C₁₃₉	C₂³	1	2	yes	—
285	C₂⁴×C₁₃₉	—	2	2	no	—
286	C₂⁴×C₁₃₉	—	2	2	no	—
287	C₂⁴×C₁₃₉	—	2	2	no	—
288	C₂⁴×C₁₃₉	—	2	2	no	—
289	C₂⁴×C₁₃₉	—	2	2	no	—
290	C₂⁴×C₁₃₉	—	2	2	no	—
291	C₂⁴×C₁₃₉	—	2	2	no	—
292	C₂⁴×C₁₃₉	—	2	4	no	—
293	C₂⁴×C₁₃₉	—	2	2	no	—
294	C₂⁴×C₁₃₉	—	2	2	no	—
295	C₂⁴×C₁₃₉	—	2	4	no	—
296	C₂⁴×C₁₃₉	—	2	4	no	—
297	C₂⁴×C₁₃₉	—	2	4	no	—
298	C₂⁴×C₁₃₉	—	4	1	no	—
299	C₂⁴×C₁₃₉	—	4	1	no	—
300	C₂⁴×C₁₃₉	—	4	1	no	—
301	C₂⁴×C₁₃₉	—	4	1	no	—
302	C₂⁴×C₁₃₉	—	4	2	no	—
303	C₂⁴×C₁₃₉	—	4	2	no	—
304	C₂⁴×C₁₃₉	—	4	2	no	—
305	C₂⁴×C₁₃₉	#41	1	4	yes	complemented
306	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
307	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
308	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
309	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
310	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
311	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
312	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
313	#41×C₁₃₉	—	4	16	no	—
314	C₂×Q₈×C₁₃₉	—	2	2	no	—
315	C₂×Q₈×C₁₃₉	—	2	2	no	—
316	C₂×Q₈×C₁₃₉	—	2	2	no	—
317	C₂×D₄×C₁₃₉	—	2	32	no	—
318	C₂×D₄×C₁₃₉	—	2	2	no	—
319	C₂×D₄×C₁₃₉	—	2	2	no	—
320	C₂×D₄×C₁₃₉	—	2	2	no	—
321	C₂×D₄×C₁₃₉	—	2	2	no	—
322	C₂×D₄×C₁₃₉	—	2	2	no	—
323	C₂×D₄×C₁₃₉	—	2	2	no	—
324	C₂×D₄×C₁₃₉	—	2	2	no	—
325	C₂×D₄×C₁₃₉	—	2	2	no	—
326	C₂×D₄×C₁₃₉	—	2	4	no	—
327	C₂×D₄×C₁₃₉	—	2	4	no	—
328	C₂×D₄×C₁₃₉	—	2	4	no	—
329	C₂×D₄×C₁₃₉	—	2	4	no	—
330	C₂×D₄×C₁₃₉	—	2	4	no	—
331	C₂×D₄×C₁₃₉	—	2	4	no	—
332	C₂×D₄×C₁₃₉	—	2	4	no	—
333	C₂×D₄×C₁₃₉	—	2	4	no	—
334	C₂×D₄×C₁₃₉	—	2	4	no	—
335	C₂×D₄×C₁₃₉	—	2	4	no	—
336	C₂×D₄×C₁₃₉	—	2	4	no	—
337	C₂×D₄×C₁₃₉	—	2	4	no	—
338	C₂×D₄×C₁₃₉	—	2	4	no	—
339	C₂×D₄×C₁₃₉	—	2	4	no	—
340	C₂×D₄×C₁₃₉	—	2	4	no	—
341	C₂×D₄×C₁₃₉	—	2	2	no	—
342	C₂×D₄×C₁₃₉	—	2	2	no	—
343	C₂×D₄×C₁₃₉	—	2	4	no	—
344	C₂×D₄×C₁₃₉	—	2	2	no	—
345	C₂×D₄×C₁₃₉	—	2	4	no	—
346	C₂×D₄×C₁₃₉	—	2	2	no	—
347	C₂×D₄×C₁₃₉	—	2	2	no	—
348	C₂×D₄×C₁₃₉	—	2	2	no	—
349	C₂×D₄×C₁₃₉	—	2	2	no	—
350	C₂×D₄×C₁₃₉	—	4	16	no	—
351	C₂×D₄×C₁₃₉	—	4	2	no	—
352	C₂×D₄×C₁₃₉	—	4	2	no	—
353	C₂×D₄×C₁₃₉	—	4	2	no	—
354	C₂×D₄×C₁₃₉	—	4	2	no	—
355	C₂×D₄×C₁₃₉	—	4	2	no	—
356	C₂×D₄×C₁₃₉	—	4	2	no	—
357	C₂×D₄×C₁₃₉	—	4	2	no	—
358	C₂×D₄×C₁₃₉	—	4	2	no	—
359	C₂×D₄×C₁₃₉	—	4	2	no	—
360	C₂×D₄×C₁₃₉	—	4	32	no	—
361	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
362	C₂×D₄×C₁₃₉	C₂×D₄	1	8	yes	—
363	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
364	C₂×D₄×C₁₃₉	#41	1	4	yes	complemented
365	C₂²×C₄×C₁₃₉	—	2	2	no	—
366	C₂²×C₄×C₁₃₉	—	2	2	no	—
367	C₂²×C₄×C₁₃₉	—	2	2	no	—
368	C₂²×C₄×C₁₃₉	—	2	2	no	—
369	C₂²×C₄×C₁₃₉	—	2	2	no	—
370	C₂²×C₄×C₁₃₉	—	2	2	no	—
371	C₂²×C₄×C₁₃₉	—	2	2	no	—
372	C₂²×C₄×C₁₃₉	—	2	2	no	—
373	C₂²×C₄×C₁₃₉	—	2	2	no	—
374	C₂²×C₄×C₁₃₉	—	2	2	no	—
375	C₂²×C₄×C₁₃₉	—	2	2	no	—
376	C₂²×C₄×C₁₃₉	—	2	2	no	—
377	C₂²×C₄×C₁₃₉	—	2	4	no	—
378	C₂²×C₄×C₁₃₉	—	2	2	no	—
379	C₂²×C₄×C₁₃₉	—	2	4	no	—
380	C₂²×C₄×C₁₃₉	—	2	2	no	—
381	C₂²×C₄×C₁₃₉	—	2	2	no	—
382	C₂²×C₄×C₁₃₉	—	2	2	no	—
383	C₂²×C₄×C₁₃₉	—	2	2	no	—
384	C₂²×C₄×C₁₃₉	—	2	2	no	—
385	C₂²×C₄×C₁₃₉	—	2	4	no	—
386	C₂²×C₄×C₁₃₉	—	2	4	no	—
387	C₂²×C₄×C₁₃₉	—	2	2	no	—
388	C₂²×C₄×C₁₃₉	—	2	2	no	—
389	C₂²×C₄×C₁₃₉	—	2	2	no	—
390	C₂²×C₄×C₁₃₉	—	2	2	no	—
391	C₂²×C₄×C₁₃₉	—	2	2	no	—
392	C₂²×C₄×C₁₃₉	—	2	2	no	—
393	C₂²×C₄×C₁₃₉	—	2	2	no	—
394	C₂²×C₄×C₁₃₉	—	2	2	no	—
395	C₂²×C₄×C₁₃₉	—	2	2	no	—
396	C₂²×C₄×C₁₃₉	—	2	2	no	—
397	C₂²×C₄×C₁₃₉	—	2	2	no	—
398	C₂²×C₄×C₁₃₉	—	2	4	no	—
399	C₂²×C₄×C₁₃₉	—	4	1	no	—
400	C₂²×C₄×C₁₃₉	—	4	1	no	—
401	C₂²×C₄×C₁₃₉	—	4	1	no	—
402	C₂²×C₄×C₁₃₉	—	4	1	no	—
403	C₂²×C₄×C₁₃₉	—	4	1	no	—
404	C₂²×C₄×C₁₃₉	—	4	1	no	—
405	C₂²×C₄×C₁₃₉	—	4	1	no	—
406	C₂²×C₄×C₁₃₉	—	4	2	no	—
407	C₂²×C₄×C₁₃₉	—	4	2	no	—
408	C₂²×C₄×C₁₃₉	—	4	16	no	—
409	C₂²×C₄×C₁₃₉	—	4	16	no	—
410	C₂²×C₄×C₁₃₉	—	4	2	no	—
411	C₂²×C₄×C₁₃₉	—	4	2	no	—
412	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
413	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
414	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
415	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
416	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
417	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
418	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
419	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
423	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
426	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
431	C₄⋊C₄×C₁₃₉	—	2	2	no	—
432	C₄⋊C₄×C₁₃₉	—	2	2	no	—
433	C₄⋊C₄×C₁₃₉	—	2	2	no	—
434	C₄⋊C₄×C₁₃₉	—	2	4	no	—
435	C₄⋊C₄×C₁₃₉	—	2	2	no	—
436	C₄⋊C₄×C₁₃₉	—	2	2	no	—
437	C₄⋊C₄×C₁₃₉	—	2	2	no	—
438	C₄⋊C₄×C₁₃₉	—	2	4	no	—
439	C₄⋊C₄×C₁₃₉	—	2	4	no	—
440	C₄⋊C₄×C₁₃₉	—	2	4	no	—
441	C₄⋊C₄×C₁₃₉	—	2	2	no	—
442	C₄⋊C₄×C₁₃₉	—	4	2	no	—
443	C₄⋊C₄×C₁₃₉	—	4	2	no	—
444	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
445	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
446	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
447	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
448	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
449	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
450	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
451	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
452	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
453	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
454	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
455	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
456	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
457	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
458	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
459	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
460	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
461	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
462	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
463	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
464	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
465	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
466	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
467	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
468	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
469	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
470	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
471	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
472	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
473	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
474	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
475	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
476	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
477	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	complemented
478	C₄²×C₁₃₉	—	2	2	no	—
479	C₄²×C₁₃₉	—	2	2	no	—
480	C₄²×C₁₃₉	—	2	2	no	—
481	C₄²×C₁₃₉	—	2	4	no	—
482	C₄²×C₁₃₉	—	4	2	no	—
483	C₄²×C₁₃₉	C₂×D₄	1	4	yes	complemented
484	C₂³×C₁₃₉	—	2	1	no	—
485	C₂³×C₁₃₉	—	2	1	no	—
486	C₂³×C₁₃₉	—	2	1	no	—
487	C₂³×C₁₃₉	—	2	1	no	—
488	C₂³×C₁₃₉	—	2	1	no	—
489	C₂³×C₁₃₉	—	2	1	no	—
490	C₂³×C₁₃₉	—	2	1	no	—
491	C₂³×C₁₃₉	—	2	1	no	—
492	C₂³×C₁₃₉	—	2	8	no	—
493	C₂³×C₁₃₉	—	2	8	no	—
494	C₂³×C₁₃₉	—	2	8	no	—
495	C₂³×C₁₃₉	—	2	1	no	—
496	C₂³×C₁₃₉	—	2	1	no	—
497	C₂³×C₁₃₉	—	2	1	no	—
498	C₂³×C₁₃₉	—	2	1	no	—
499	C₂³×C₁₃₉	—	2	2	no	—
500	C₂³×C₁₃₉	—	2	1	no	—
501	C₂³×C₁₃₉	—	2	2	no	—
502	C₂³×C₁₃₉	—	2	1	no	—
503	C₂³×C₁₃₉	—	2	1	no	—
504	C₂³×C₁₃₉	—	2	1	no	—
505	C₂³×C₁₃₉	—	2	1	no	—
506	C₂³×C₁₃₉	—	2	2	no	—
507	C₂³×C₁₃₉	—	2	1	no	—
508	C₂³×C₁₃₉	—	2	1	no	—
509	C₂³×C₁₃₉	—	2	1	no	—
510	C₂³×C₁₃₉	—	2	2	no	—
511	C₂³×C₁₃₉	—	2	1	no	—
512	C₂³×C₁₃₉	—	2	1	no	—
513	C₂³×C₁₃₉	—	2	2	no	—
514	C₂³×C₁₃₉	—	2	1	no	—
515	C₂³×C₁₃₉	—	2	1	no	—
516	C₂³×C₁₃₉	—	2	2	no	—
517	C₂³×C₁₃₉	—	2	1	no	—
518	C₂³×C₁₃₉	—	2	1	no	—
519	C₂³×C₁₃₉	—	2	2	no	—
520	C₂³×C₁₃₉	—	2	2	no	—
521	C₂³×C₁₃₉	—	2	2	no	—
522	C₂³×C₁₃₉	—	2	2	no	—
523	C₂³×C₁₃₉	—	2	2	no	—
524	C₂³×C₁₃₉	—	2	2	no	—
525	C₂³×C₁₃₉	—	2	2	no	—
526	C₂³×C₁₃₉	—	4	4	no	—
527	C₂³×C₁₃₉	—	4	4	no	—
528	C₂³×C₁₃₉	—	4	4	no	—
529	C₂³×C₁₃₉	—	4	4	no	—
530	C₂³×C₁₃₉	—	4	4	no	—
531	C₂³×C₁₃₉	—	4	4	no	—
532	C₂³×C₁₃₉	—	4	4	no	—
533	C₂³×C₁₃₉	—	4	4	no	—
534	C₂³×C₁₃₉	—	4	4	no	—
535	C₂³×C₁₃₉	—	4	8	no	—
536	C₂³×C₁₃₉	—	4	8	no	—
537	C₂³×C₁₃₉	—	4	8	no	—
538	C₂³×C₁₃₉	—	4	4	no	—
539	C₂³×C₁₃₉	—	4	4	no	—
540	C₂³×C₁₃₉	—	4	8	no	—
541	C₂³×C₁₃₉	—	8	4	no	—
542	C₂³×C₁₃₉	—	8	4	no	—
543	C₂³×C₁₃₉	—	8	4	no	—
544	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
545	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
546	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
547	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
548	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
549	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
550	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
551	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
552	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
553	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
554	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
555	Q₈×C₁₃₉	—	4	4	no	—
556	D₄×C₁₃₉	—	2	8	no	—
557	D₄×C₁₃₉	—	2	8	no	—
558	D₄×C₁₃₉	—	2	8	no	—
559	D₄×C₁₃₉	—	2	8	no	—
560	D₄×C₁₃₉	—	2	16	no	—
561	D₄×C₁₃₉	—	2	8	no	—
562	D₄×C₁₃₉	—	4	8	no	—
563	D₄×C₁₃₉	—	4	8	no	—
564	D₄×C₁₃₉	—	4	8	no	—
565	D₄×C₁₃₉	—	4	8	no	—
566	D₄×C₁₃₉	—	4	8	no	—
567	D₄×C₁₃₉	—	4	8	no	—
568	D₄×C₁₃₉	—	4	4	no	—
569	D₄×C₁₃₉	—	8	4	no	—
570	D₄×C₁₃₉	—	8	4	no	—
571	C₂×C₄×C₁₃₉	—	2	8	no	—
572	C₂×C₄×C₁₃₉	—	2	1	no	—
573	C₂×C₄×C₁₃₉	—	2	1	no	—
574	C₂×C₄×C₁₃₉	—	2	1	no	—
575	C₂×C₄×C₁₃₉	—	2	1	no	—
576	C₂×C₄×C₁₃₉	—	2	1	no	—
577	C₂×C₄×C₁₃₉	—	2	1	no	—
578	C₂×C₄×C₁₃₉	—	2	1	no	—
579	C₂×C₄×C₁₃₉	—	2	2	no	—
580	C₂×C₄×C₁₃₉	—	2	1	no	—
581	C₂×C₄×C₁₃₉	—	2	2	no	—
582	C₂×C₄×C₁₃₉	—	2	1	no	—
583	C₂×C₄×C₁₃₉	—	2	1	no	—
584	C₂×C₄×C₁₃₉	—	2	1	no	—
585	C₂×C₄×C₁₃₉	—	2	1	no	—
586	C₂×C₄×C₁₃₉	—	2	8	no	—
587	C₂×C₄×C₁₃₉	—	2	8	no	—
588	C₂×C₄×C₁₃₉	—	2	8	no	—
589	C₂×C₄×C₁₃₉	—	2	1	no	—
590	C₂×C₄×C₁₃₉	—	2	2	no	—
591	C₂×C₄×C₁₃₉	—	2	1	no	—
592	C₂×C₄×C₁₃₉	—	2	2	no	—
593	C₂×C₄×C₁₃₉	—	2	2	no	—
594	C₂×C₄×C₁₃₉	—	2	1	no	—
595	C₂×C₄×C₁₃₉	—	2	1	no	—
596	C₂×C₄×C₁₃₉	—	2	1	no	—
597	C₂×C₄×C₁₃₉	—	2	2	no	—
598	C₂×C₄×C₁₃₉	—	2	2	no	—
599	C₂×C₄×C₁₃₉	—	2	2	no	—
600	C₂×C₄×C₁₃₉	—	2	2	no	—
601	C₂×C₄×C₁₃₉	—	2	2	no	—
602	C₂×C₄×C₁₃₉	—	2	2	no	—
603	C₂×C₄×C₁₃₉	—	2	2	no	—
604	C₂×C₄×C₁₃₉	—	2	2	no	—
605	C₂×C₄×C₁₃₉	—	2	1	no	—
606	C₂×C₄×C₁₃₉	—	2	1	no	—
607	C₂×C₄×C₁₃₉	—	2	2	no	—
608	C₂×C₄×C₁₃₉	—	2	2	no	—
609	C₂×C₄×C₁₃₉	—	2	1	no	—
610	C₂×C₄×C₁₃₉	—	2	1	no	—
611	C₂×C₄×C₁₃₉	—	2	2	no	—
612	C₂×C₄×C₁₃₉	—	2	2	no	—
613	C₂×C₄×C₁₃₉	—	4	4	no	—
614	C₂×C₄×C₁₃₉	—	4	4	no	—
615	C₂×C₄×C₁₃₉	—	4	4	no	—
616	C₂×C₄×C₁₃₉	—	4	4	no	—
617	C₂×C₄×C₁₃₉	—	4	4	no	—
618	C₂×C₄×C₁₃₉	—	4	4	no	—
619	C₂×C₄×C₁₃₉	—	4	4	no	—
620	C₂×C₄×C₁₃₉	—	4	8	no	—
621	C₂×C₄×C₁₃₉	—	4	8	no	—
622	C₂×C₄×C₁₃₉	—	4	4	no	—
623	C₂×C₄×C₁₃₉	—	4	4	no	—
624	C₂×C₄×C₁₃₉	—	8	4	no	—
625	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
626	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
627	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
628	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
629	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
630	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
631	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
632	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
633	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
634	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
635	C₂²×C₁₃₉	—	2	2	no	—
636	C₂²×C₁₃₉	—	2	2	no	—
637	C₂²×C₁₃₉	—	2	2	no	—
638	C₂²×C₁₃₉	—	2	2	no	—
639	C₂²×C₁₃₉	—	2	2	no	—
640	C₂²×C₁₃₉	—	2	2	no	—
641	C₂²×C₁₃₉	—	2	2	no	—
642	C₂²×C₁₃₉	—	2	2	no	—
643	C₂²×C₁₃₉	—	2	2	no	—
644	C₂²×C₁₃₉	—	2	2	no	—
645	C₂²×C₁₃₉	—	2	2	no	—
646	C₂²×C₁₃₉	—	2	2	no	—
647	C₂²×C₁₃₉	—	2	2	no	—
648	C₂²×C₁₃₉	—	2	2	no	—
649	C₂²×C₁₃₉	—	2	2	no	—
650	C₂²×C₁₃₉	—	2	2	no	—
651	C₂²×C₁₃₉	—	2	4	no	—
652	C₂²×C₁₃₉	—	2	4	no	—
653	C₂²×C₁₃₉	—	2	2	no	—
654	C₂²×C₁₃₉	—	2	2	no	—
655	C₂²×C₁₃₉	—	2	4	no	—
656	C₂²×C₁₃₉	—	2	2	no	—
657	C₂²×C₁₃₉	—	2	2	no	—
658	C₂²×C₁₃₉	—	2	2	no	—
659	C₂²×C₁₃₉	—	4	16	no	—
660	C₂²×C₁₃₉	—	4	16	no	—
661	C₂²×C₁₃₉	—	4	2	no	—
662	C₂²×C₁₃₉	—	4	1	no	—
663	C₂²×C₁₃₉	—	4	1	no	—
664	C₂²×C₁₃₉	—	4	1	no	—
665	C₂²×C₁₃₉	—	4	1	no	—
666	C₂²×C₁₃₉	—	4	1	no	—
667	C₂²×C₁₃₉	—	4	1	no	—
668	C₂²×C₁₃₉	—	4	2	no	—
669	C₂²×C₁₃₉	—	4	1	no	—
670	C₂²×C₁₃₉	—	4	1	no	—
671	C₂²×C₁₃₉	—	4	1	no	—
672	C₂²×C₁₃₉	—	4	1	no	—
673	C₂²×C₁₃₉	—	4	2	no	—
674	C₂²×C₁₃₉	—	4	1	no	—
675	C₂²×C₁₃₉	—	4	1	no	—
676	C₂²×C₁₃₉	—	4	2	no	—
677	C₂²×C₁₃₉	—	4	2	no	—
678	C₂²×C₁₃₉	—	4	2	no	—
679	C₂²×C₁₃₉	—	4	2	no	—
680	C₂²×C₁₃₉	—	4	2	no	—
681	C₂²×C₁₃₉	—	4	2	no	—
682	C₂²×C₁₃₉	—	4	2	no	—
683	C₂²×C₁₃₉	—	4	2	no	—
684	C₂²×C₁₃₉	—	8	16	no	—
685	C₂²×C₁₃₉	#525	1	4	yes	complemented
686	C₂²×C₁₃₉	#546	1	4	yes	complemented
687	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
688	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
689	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
690	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
691	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
692	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
693	C₂²×C₁₃₉	#585	1	1	yes	characteristic
694	C₄×C₁₃₉	—	2	2	no	—
695	C₄×C₁₃₉	—	2	2	no	—
696	C₄×C₁₃₉	—	2	2	no	—
697	C₄×C₁₃₉	—	2	2	no	—
698	C₄×C₁₃₉	—	2	2	no	—
699	C₄×C₁₃₉	—	2	4	no	—
700	C₄×C₁₃₉	—	2	2	no	—
701	C₄×C₁₃₉	—	4	1	no	—
702	C₄×C₁₃₉	—	4	1	no	—
703	C₄×C₁₃₉	—	4	2	no	—
704	C₄×C₁₃₉	—	4	2	no	—
705	C₄×C₁₃₉	—	4	2	no	—
706	C₄×C₁₃₉	—	4	1	no	—
707	C₄×C₁₃₉	—	4	2	no	—
708	C₄×C₁₃₉	—	4	2	no	—
709	C₄×C₁₃₉	D₄²	1	4	yes	—
710	C₂×C₁₃₉	—	2	4	no	—
711	C₂×C₁₃₉	—	2	4	no	—
712	C₂×C₁₃₉	—	4	2	no	—
713	C₂×C₁₃₉	—	4	2	no	—
714	C₂×C₁₃₉	—	4	2	no	—
715	C₂×C₁₃₉	—	4	4	no	—
716	C₂×C₁₃₉	—	8	2	no	—
717	C₂×C₁₃₉	C₂×#525	1	1	yes	characteristic
718	C₂×C₁₃₉	C₂×D₄²	1	1	yes	characteristic
719	C₂×C₁₃₉	C₂×#546	1	1	yes	characteristic
720	C₂×C₁₃₉	D₄×#41	1	1	yes	characteristic
721	C₂×C₁₃₉	#3488	1	1	yes	characteristic
722	C₂×C₁₃₉	#3505	1	1	yes	characteristic
723	C₂×C₁₃₉	#3519	1	1	yes	characteristic
724	#36096	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
725	C₁₃₉	#36096	1	1	yes	characteristic, direct product factor, Sylow
726	C₂×#546	C₂×C₁₃₉	1	1	yes	characteristic, complemented
727	C₂×#525	C₂×C₁₃₉	1	1	yes	characteristic, complemented
728	C₂²×#121	C₂×C₁₃₉	1	1	yes	characteristic, complemented
729	C₂²×C₄×D₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
730	#2850	C₂×C₁₃₉	1	1	yes	characteristic, complemented
731	#2848	C₂×C₁₃₉	1	1	yes	characteristic, complemented
732	#2847	C₂×C₁₃₉	1	1	yes	characteristic, complemented
733	#2540	C₂×C₁₃₉	1	1	yes	characteristic, complemented
734	#2535	C₂×C₁₃₉	1	1	yes	characteristic, complemented
735	#2464	C₂×C₁₃₉	1	2	yes	complemented
736	#2456	C₂×C₁₃₉	1	2	yes	complemented
737	#2443	C₂×C₁₃₉	1	2	yes	complemented
738	#2424	C₂×C₁₃₉	1	2	yes	complemented
739	#2418	C₂×C₁₃₉	1	2	yes	complemented
740	#2417	C₂×C₁₃₉	1	1	yes	characteristic, complemented
741	#2414	C₂×C₁₃₉	1	1	yes	characteristic, complemented
742	#2408	C₂×C₁₃₉	1	1	yes	characteristic, complemented
743	#2407	C₂×C₁₃₉	1	1	yes	characteristic, complemented
744	#2403	C₂×C₁₃₉	1	2	yes	complemented
745	#2358	C₂×C₁₃₉	1	2	yes	complemented
746	#2352	C₂×C₁₃₉	1	1	yes	characteristic, complemented
747	D₄×C₂²⋊C₄	C₂×C₁₃₉	1	2	yes	complemented
748	C₄×#121	C₂×C₁₃₉	1	1	yes	characteristic, complemented
749	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
750	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
751	C₂³×D₄	C₂²×C₁₃₉	1	2	yes	—
752	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
753	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
754	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
755	#546	—	2	8	no	—
756	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
757	#525	—	2	8	no	—
758	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
759	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
760	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
761	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
762	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
763	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
764	C₂×#121	—	2	8	no	—
765	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
766	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
767	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
768	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
769	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
770	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
771	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
772	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
773	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
774	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
775	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
776	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
777	C₂×#120	C₂²×C₁₃₉	1	2	yes	complemented
778	C₂×#120	C₂²×C₁₃₉	1	2	yes	complemented
779	C₂×C₄×D₄	—	2	8	no	—
780	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
781	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
782	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
783	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
784	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
785	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
786	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
787	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
788	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
789	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
790	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
791	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
792	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
793	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
794	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
795	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
796	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
797	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
798	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
799	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
800	#399	C₂²×C₁₃₉	1	2	yes	complemented
801	#398	C₂²×C₁₃₉	1	2	yes	complemented
802	#397	C₂²×C₁₃₉	1	2	yes	complemented
803	#396	C₂²×C₁₃₉	1	2	yes	complemented
804	#394	C₂²×C₁₃₉	1	2	yes	complemented
805	#394	C₂²×C₁₃₉	1	2	yes	complemented
806	#394	C₂²×C₁₃₉	1	2	yes	complemented
807	#392	C₂²×C₁₃₉	1	2	yes	complemented
808	#392	C₂²×C₁₃₉	1	2	yes	complemented
809	#392	C₂²×C₁₃₉	1	2	yes	complemented
810	#392	C₂²×C₁₃₉	1	2	yes	complemented
811	#392	C₂²×C₁₃₉	1	2	yes	complemented
812	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
813	#390	C₂²×C₁₃₉	1	2	yes	complemented
814	#390	C₂²×C₁₃₉	1	2	yes	complemented
815	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
816	#390	C₂²×C₁₃₉	1	2	yes	complemented
817	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
818	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
819	#388	C₂²×C₁₃₉	1	2	yes	complemented
820	#388	C₂²×C₁₃₉	1	2	yes	complemented
821	#388	C₂²×C₁₃₉	1	2	yes	complemented
822	#388	C₂²×C₁₃₉	1	2	yes	complemented
823	#388	C₂²×C₁₃₉	1	2	yes	complemented
824	#387	C₂²×C₁₃₉	1	2	yes	complemented
825	#386	C₂²×C₁₃₉	1	2	yes	—
826	#386	C₂²×C₁₃₉	1	2	yes	—
827	#386	C₂²×C₁₃₉	1	2	yes	complemented
828	#386	C₂²×C₁₃₉	1	2	yes	complemented
829	#386	C₂²×C₁₃₉	1	2	yes	complemented
830	#386	C₂²×C₁₃₉	1	2	yes	complemented
831	#386	C₂²×C₁₃₉	1	2	yes	complemented
832	#386	C₂²×C₁₃₉	1	2	yes	complemented
833	#386	C₂²×C₁₃₉	1	2	yes	complemented
834	#386	C₂²×C₁₃₉	1	2	yes	complemented
835	#386	C₂²×C₁₃₉	1	2	yes	complemented
836	#385	C₂²×C₁₃₉	1	2	yes	complemented
837	#385	C₂²×C₁₃₉	1	2	yes	complemented
838	#385	C₂²×C₁₃₉	1	2	yes	complemented
839	#385	C₂²×C₁₃₉	1	2	yes	complemented
840	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
841	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
842	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
843	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
844	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
845	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
846	#380	C₂²×C₁₃₉	1	2	yes	complemented
847	#379	C₂²×C₁₃₉	1	2	yes	—
848	#379	C₂²×C₁₃₉	1	2	yes	complemented
849	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
850	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
851	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
852	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
853	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
854	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
855	C₂×#41	—	2	4	no	—
856	C₂×#41	—	2	4	no	—
857	C₂×#41	—	4	2	no	—
858	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
859	C₂²×D₄	—	2	4	no	—
860	C₂²×D₄	—	2	4	no	—
861	C₂²×D₄	—	2	4	no	—
862	C₂²×D₄	—	2	8	no	—
863	C₂²×D₄	—	2	8	no	—
864	C₂²×D₄	—	2	4	no	—
865	C₂²×D₄	—	2	4	no	—
866	C₂²×D₄	—	4	2	no	—
867	C₂²×D₄	—	4	4	no	—
868	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
869	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
870	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
871	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
872	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
873	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
874	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
875	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
876	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
877	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
878	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
879	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
880	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
881	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
882	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
883	C₂³×C₄	—	2	4	no	—
884	C₂³×C₄	—	2	4	no	—
885	C₂³×C₄	—	2	4	no	—
886	C₂³×C₄	—	2	4	no	—
887	C₂³×C₄	—	4	2	no	—
888	C₂³×C₄	—	4	2	no	—
889	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
890	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
891	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
892	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
893	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
894	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
895	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
896	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
897	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
898	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
899	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
900	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
901	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
902	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
903	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
904	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
905	#124	—	2	4	no	—
906	#123	—	2	8	no	—
907	#123	—	2	8	no	—
908	C₂²⋊Q₈	—	2	4	no	—
909	C₂²⋊Q₈	—	2	4	no	—
910	C₂²⋊Q₈	—	2	4	no	—
911	C₂²⋊Q₈	—	4	2	no	—
912	#121	—	2	8	no	—
913	#121	—	2	4	no	—
914	#121	—	2	4	no	—
915	#121	—	2	4	no	—
916	#121	—	2	4	no	—
917	#121	—	2	4	no	—
918	#121	—	2	8	no	—
919	#121	—	2	8	no	—
920	#121	—	4	2	no	—
921	#121	D₄×C₁₃₉	1	8	yes	complemented
922	#120	—	2	8	no	—
923	#120	—	2	8	no	—
924	#120	—	2	8	no	—
925	#120	—	4	4	no	—
926	C₄×D₄	—	2	4	no	—
927	C₄×D₄	—	2	8	no	—
928	C₄×D₄	—	2	4	no	—
929	C₄×D₄	—	2	4	no	—
930	C₄×D₄	—	2	4	no	—
931	C₄×D₄	—	2	4	no	—
932	C₄×D₄	—	2	4	no	—
933	C₄×D₄	—	2	8	no	—
934	C₄×D₄	—	2	4	no	—
935	C₄×D₄	—	2	4	no	—
936	C₄×D₄	—	4	4	no	—
937	C₄×D₄	D₄×C₁₃₉	1	8	yes	complemented
938	#117	—	2	4	no	—
939	C₂×C₄⋊C₄	—	2	4	no	—
940	C₂×C₄⋊C₄	—	2	4	no	—
941	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
945	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
946	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
947	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
948	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
949	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
950	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
951	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
953	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
954	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
956	C₂×C₂²⋊C₄	—	2	4	no	—
957	C₂×C₂²⋊C₄	—	2	8	no	—
958	C₂×C₂²⋊C₄	—	2	4	no	—
959	C₂×C₂²⋊C₄	—	2	8	no	—
960	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
962	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
963	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
964	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
965	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
966	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
967	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
968	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
969	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
970	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
971	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
972	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
973	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
974	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
975	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
976	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
977	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
978	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
979	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
980	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
981	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
982	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
983	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
984	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
985	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
986	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
987	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
988	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
989	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
992	C₂×C₄²	—	2	4	no	—
993	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
994	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
995	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
996	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
997	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
998	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
999	#95	C₂³×C₁₃₉	1	2	yes	—
1000	#95	C₂³×C₁₃₉	1	2	yes	—
1001	#95	C₂³×C₁₃₉	1	2	yes	—
1002	#95	C₂³×C₁₃₉	1	2	yes	—
1003	#95	C₂³×C₁₃₉	1	2	yes	—
1004	#95	C₂³×C₁₃₉	1	2	yes	—
1005	#95	C₂³×C₁₃₉	1	2	yes	—
1006	#95	C₂³×C₁₃₉	1	2	yes	—
1007	#95	C₂³×C₁₃₉	1	2	yes	—
1008	#95	C₂³×C₁₃₉	1	2	yes	—
1009	#95	C₂³×C₁₃₉	1	2	yes	—
1010	C₂⁴	—	2	2	no	—
1011	C₂⁴	—	2	2	no	—
1012	C₂⁴	—	2	2	no	—
1013	C₂⁴	—	2	2	no	—
1014	C₂⁴	—	2	2	no	—
1015	C₂⁴	—	2	2	no	—
1016	C₂⁴	—	2	2	no	—
1017	C₂⁴	—	2	4	no	—
1018	C₂⁴	—	2	2	no	—
1019	C₂⁴	—	2	2	no	—
1020	C₂⁴	—	2	4	no	—
1021	C₂⁴	—	2	4	no	—
1022	C₂⁴	—	2	4	no	—
1023	C₂⁴	—	4	1	no	—
1024	C₂⁴	—	4	1	no	—
1025	C₂⁴	—	4	1	no	—
1026	C₂⁴	—	4	1	no	—
1027	C₂⁴	—	4	2	no	—
1028	C₂⁴	—	4	2	no	—
1029	C₂⁴	—	4	2	no	—
1030	C₂⁴	#41×C₁₃₉	1	4	yes	complemented
1031	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
1032	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
1033	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
1034	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
1035	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
1036	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
1037	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
1038	#41	—	4	16	no	—
1039	C₂×Q₈	—	2	2	no	—
1040	C₂×Q₈	—	2	2	no	—
1041	C₂×Q₈	—	2	2	no	—
1042	C₂×D₄	—	2	32	no	—
1043	C₂×D₄	—	2	2	no	—
1044	C₂×D₄	—	2	2	no	—
1045	C₂×D₄	—	2	2	no	—
1046	C₂×D₄	—	2	2	no	—
1047	C₂×D₄	—	2	2	no	—
1048	C₂×D₄	—	2	2	no	—
1049	C₂×D₄	—	2	2	no	—
1050	C₂×D₄	—	2	2	no	—
1051	C₂×D₄	—	2	4	no	—
1052	C₂×D₄	—	2	4	no	—
1053	C₂×D₄	—	2	4	no	—
1054	C₂×D₄	—	2	4	no	—
1055	C₂×D₄	—	2	4	no	—
1056	C₂×D₄	—	2	4	no	—
1057	C₂×D₄	—	2	4	no	—
1058	C₂×D₄	—	2	4	no	—
1059	C₂×D₄	—	2	4	no	—
1060	C₂×D₄	—	2	4	no	—
1061	C₂×D₄	—	2	4	no	—
1062	C₂×D₄	—	2	4	no	—
1063	C₂×D₄	—	2	4	no	—
1064	C₂×D₄	—	2	4	no	—
1065	C₂×D₄	—	2	4	no	—
1066	C₂×D₄	—	2	2	no	—
1067	C₂×D₄	—	2	2	no	—
1068	C₂×D₄	—	2	4	no	—
1069	C₂×D₄	—	2	2	no	—
1070	C₂×D₄	—	2	4	no	—
1071	C₂×D₄	—	2	2	no	—
1072	C₂×D₄	—	2	2	no	—
1073	C₂×D₄	—	2	2	no	—
1074	C₂×D₄	—	2	2	no	—
1075	C₂×D₄	—	4	16	no	—
1076	C₂×D₄	—	4	2	no	—
1077	C₂×D₄	—	4	2	no	—
1078	C₂×D₄	—	4	2	no	—
1079	C₂×D₄	—	4	2	no	—
1080	C₂×D₄	—	4	2	no	—
1081	C₂×D₄	—	4	2	no	—
1082	C₂×D₄	—	4	2	no	—
1083	C₂×D₄	—	4	2	no	—
1084	C₂×D₄	—	4	2	no	—
1085	C₂×D₄	—	4	32	no	—
1086	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
1087	C₂×D₄	C₂×D₄×C₁₃₉	1	8	yes	—
1088	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
1089	C₂×D₄	#41×C₁₃₉	1	4	yes	complemented
1090	C₂²×C₄	—	2	2	no	—
1091	C₂²×C₄	—	2	2	no	—
1092	C₂²×C₄	—	2	2	no	—
1093	C₂²×C₄	—	2	2	no	—
1094	C₂²×C₄	—	2	2	no	—
1095	C₂²×C₄	—	2	2	no	—
1096	C₂²×C₄	—	2	2	no	—
1097	C₂²×C₄	—	2	2	no	—
1098	C₂²×C₄	—	2	2	no	—
1099	C₂²×C₄	—	2	2	no	—
1100	C₂²×C₄	—	2	2	no	—
1101	C₂²×C₄	—	2	2	no	—
1102	C₂²×C₄	—	2	4	no	—
1103	C₂²×C₄	—	2	2	no	—
1104	C₂²×C₄	—	2	4	no	—
1105	C₂²×C₄	—	2	2	no	—
1106	C₂²×C₄	—	2	2	no	—
1107	C₂²×C₄	—	2	2	no	—
1108	C₂²×C₄	—	2	2	no	—
1109	C₂²×C₄	—	2	2	no	—
1110	C₂²×C₄	—	2	4	no	—
1111	C₂²×C₄	—	2	4	no	—
1112	C₂²×C₄	—	2	2	no	—
1113	C₂²×C₄	—	2	2	no	—
1114	C₂²×C₄	—	2	2	no	—
1115	C₂²×C₄	—	2	2	no	—
1116	C₂²×C₄	—	2	2	no	—
1117	C₂²×C₄	—	2	2	no	—
1118	C₂²×C₄	—	2	2	no	—
1119	C₂²×C₄	—	2	2	no	—
1120	C₂²×C₄	—	2	2	no	—
1121	C₂²×C₄	—	2	2	no	—
1122	C₂²×C₄	—	2	2	no	—
1123	C₂²×C₄	—	2	4	no	—
1124	C₂²×C₄	—	4	1	no	—
1125	C₂²×C₄	—	4	1	no	—
1126	C₂²×C₄	—	4	1	no	—
1127	C₂²×C₄	—	4	1	no	—
1128	C₂²×C₄	—	4	1	no	—
1129	C₂²×C₄	—	4	1	no	—
1130	C₂²×C₄	—	4	1	no	—
1131	C₂²×C₄	—	4	2	no	—
1132	C₂²×C₄	—	4	2	no	—
1133	C₂²×C₄	—	4	16	no	—
1134	C₂²×C₄	—	4	16	no	—
1135	C₂²×C₄	—	4	2	no	—
1136	C₂²×C₄	—	4	2	no	—
1137	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1138	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1139	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
1140	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1141	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1142	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1143	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1144	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1145	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1146	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1147	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1148	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1149	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1150	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1151	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1152	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1153	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1154	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1155	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1156	C₄⋊C₄	—	2	2	no	—
1157	C₄⋊C₄	—	2	2	no	—
1158	C₄⋊C₄	—	2	2	no	—
1159	C₄⋊C₄	—	2	4	no	—
1160	C₄⋊C₄	—	2	2	no	—
1161	C₄⋊C₄	—	2	2	no	—
1162	C₄⋊C₄	—	2	2	no	—
1163	C₄⋊C₄	—	2	4	no	—
1164	C₄⋊C₄	—	2	4	no	—
1165	C₄⋊C₄	—	2	4	no	—
1166	C₄⋊C₄	—	2	2	no	—
1167	C₄⋊C₄	—	4	2	no	—
1168	C₄⋊C₄	—	4	2	no	—
1169	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
1170	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
1171	C₂²⋊C₄	—	2	2	no	—
1172	C₂²⋊C₄	—	2	2	no	—
1173	C₂²⋊C₄	—	2	4	no	—
1174	C₂²⋊C₄	—	2	4	no	—
1175	C₂²⋊C₄	—	2	4	no	—
1176	C₂²⋊C₄	—	2	4	no	—
1177	C₂²⋊C₄	—	2	4	no	—
1178	C₂²⋊C₄	—	2	4	no	—
1179	C₂²⋊C₄	—	2	2	no	—
1180	C₂²⋊C₄	—	2	2	no	—
1181	C₂²⋊C₄	—	2	2	no	—
1182	C₂²⋊C₄	—	2	2	no	—
1183	C₂²⋊C₄	—	2	4	no	—
1184	C₂²⋊C₄	—	2	4	no	—
1185	C₂²⋊C₄	—	2	4	no	—
1186	C₂²⋊C₄	—	2	4	no	—
1187	C₂²⋊C₄	—	2	4	no	—
1188	C₂²⋊C₄	—	2	4	no	—
1189	C₂²⋊C₄	—	2	4	no	—
1190	C₂²⋊C₄	—	2	4	no	—
1191	C₂²⋊C₄	—	2	4	no	—
1192	C₂²⋊C₄	—	2	4	no	—
1193	C₂²⋊C₄	—	4	2	no	—
1194	C₂²⋊C₄	—	4	2	no	—
1195	C₂²⋊C₄	—	4	2	no	—
1196	C₂²⋊C₄	—	4	2	no	—
1197	C₂²⋊C₄	—	4	2	no	—
1198	C₂²⋊C₄	—	4	2	no	—
1199	C₂²⋊C₄	—	4	2	no	—
1200	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1201	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
1202	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	complemented
1203	C₄²	—	2	2	no	—
1204	C₄²	—	2	2	no	—
1205	C₄²	—	2	2	no	—
1206	C₄²	—	2	4	no	—
1207	C₄²	—	4	2	no	—
1208	C₄²	C₂×D₄×C₁₃₉	1	4	yes	complemented
1209	C₂³	—	2	1	no	—
1210	C₂³	—	2	1	no	—
1211	C₂³	—	2	1	no	—
1212	C₂³	—	2	1	no	—
1213	C₂³	—	2	1	no	—
1214	C₂³	—	2	1	no	—
1215	C₂³	—	2	1	no	—
1216	C₂³	—	2	1	no	—
1217	C₂³	—	2	8	no	—
1218	C₂³	—	2	8	no	—
1219	C₂³	—	2	8	no	—
1220	C₂³	—	2	1	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	2	no	—
1225	C₂³	—	2	1	no	—
1226	C₂³	—	2	2	no	—
1227	C₂³	—	2	1	no	—
1228	C₂³	—	2	1	no	—
1229	C₂³	—	2	1	no	—
1230	C₂³	—	2	1	no	—
1231	C₂³	—	2	2	no	—
1232	C₂³	—	2	1	no	—
1233	C₂³	—	2	1	no	—
1234	C₂³	—	2	1	no	—
1235	C₂³	—	2	2	no	—
1236	C₂³	—	2	1	no	—
1237	C₂³	—	2	1	no	—
1238	C₂³	—	2	2	no	—
1239	C₂³	—	2	1	no	—
1240	C₂³	—	2	1	no	—
1241	C₂³	—	2	2	no	—
1242	C₂³	—	2	1	no	—
1243	C₂³	—	2	1	no	—
1244	C₂³	—	2	2	no	—
1245	C₂³	—	2	2	no	—
1246	C₂³	—	2	2	no	—
1247	C₂³	—	2	2	no	—
1248	C₂³	—	2	2	no	—
1249	C₂³	—	2	2	no	—
1250	C₂³	—	2	2	no	—
1251	C₂³	—	4	4	no	—
1252	C₂³	—	4	4	no	—
1253	C₂³	—	4	4	no	—
1254	C₂³	—	4	4	no	—
1255	C₂³	—	4	4	no	—
1256	C₂³	—	4	4	no	—
1257	C₂³	—	4	4	no	—
1258	C₂³	—	4	4	no	—
1259	C₂³	—	4	4	no	—
1260	C₂³	—	4	8	no	—
1261	C₂³	—	4	8	no	—
1262	C₂³	—	4	8	no	—
1263	C₂³	—	4	4	no	—
1264	C₂³	—	4	4	no	—
1265	C₂³	—	4	8	no	—
1266	C₂³	—	8	4	no	—
1267	C₂³	—	8	4	no	—
1268	C₂³	—	8	4	no	—
1269	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
1270	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1271	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1272	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1273	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1274	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1275	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1276	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1277	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1278	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1279	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1280	Q₈	—	4	4	no	—
1281	D₄	—	2	8	no	—
1282	D₄	—	2	8	no	—
1283	D₄	—	2	8	no	—
1284	D₄	—	2	8	no	—
1285	D₄	—	2	16	no	—
1286	D₄	—	2	8	no	—
1287	D₄	—	4	8	no	—
1288	D₄	—	4	8	no	—
1289	D₄	—	4	8	no	—
1290	D₄	—	4	8	no	—
1291	D₄	—	4	8	no	—
1292	D₄	—	4	8	no	—
1293	D₄	—	4	4	no	—
1294	D₄	—	8	4	no	—
1295	D₄	—	8	4	no	—
1296	C₂×C₄	—	2	8	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	2	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	2	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	8	no	—
1312	C₂×C₄	—	2	8	no	—
1313	C₂×C₄	—	2	8	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	2	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	2	no	—
1318	C₂×C₄	—	2	2	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	2	no	—
1323	C₂×C₄	—	2	2	no	—
1324	C₂×C₄	—	2	2	no	—
1325	C₂×C₄	—	2	2	no	—
1326	C₂×C₄	—	2	2	no	—
1327	C₂×C₄	—	2	2	no	—
1328	C₂×C₄	—	2	2	no	—
1329	C₂×C₄	—	2	2	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	2	no	—
1333	C₂×C₄	—	2	2	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	2	no	—
1337	C₂×C₄	—	2	2	no	—
1338	C₂×C₄	—	4	4	no	—
1339	C₂×C₄	—	4	4	no	—
1340	C₂×C₄	—	4	4	no	—
1341	C₂×C₄	—	4	4	no	—
1342	C₂×C₄	—	4	4	no	—
1343	C₂×C₄	—	4	4	no	—
1344	C₂×C₄	—	4	8	no	—
1345	C₂×C₄	—	4	8	no	—
1346	C₂×C₄	—	4	4	no	—
1347	C₂×C₄	—	4	4	no	—
1348	C₂×C₄	—	4	4	no	—
1349	C₂×C₄	—	8	4	no	—
1350	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1351	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1352	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
1353	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1354	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1355	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1356	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1357	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1358	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1359	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1360	C₂²	—	2	2	no	—
1361	C₂²	—	2	2	no	—
1362	C₂²	—	2	2	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	2	2	no	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	2	2	no	—
1367	C₂²	—	2	2	no	—
1368	C₂²	—	2	2	no	—
1369	C₂²	—	2	2	no	—
1370	C₂²	—	2	2	no	—
1371	C₂²	—	2	2	no	—
1372	C₂²	—	2	2	no	—
1373	C₂²	—	2	2	no	—
1374	C₂²	—	2	2	no	—
1375	C₂²	—	2	2	no	—
1376	C₂²	—	2	4	no	—
1377	C₂²	—	2	4	no	—
1378	C₂²	—	2	2	no	—
1379	C₂²	—	2	2	no	—
1380	C₂²	—	2	4	no	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	4	16	no	—
1385	C₂²	—	4	16	no	—
1386	C₂²	—	4	2	no	—
1387	C₂²	—	4	1	no	—
1388	C₂²	—	4	1	no	—
1389	C₂²	—	4	1	no	—
1390	C₂²	—	4	1	no	—
1391	C₂²	—	4	1	no	—
1392	C₂²	—	4	1	no	—
1393	C₂²	—	4	2	no	—
1394	C₂²	—	4	1	no	—
1395	C₂²	—	4	1	no	—
1396	C₂²	—	4	1	no	—
1397	C₂²	—	4	1	no	—
1398	C₂²	—	4	2	no	—
1399	C₂²	—	4	1	no	—
1400	C₂²	—	4	1	no	—
1401	C₂²	—	4	2	no	—
1402	C₂²	—	4	2	no	—
1403	C₂²	—	4	2	no	—
1404	C₂²	—	4	2	no	—
1405	C₂²	—	4	2	no	—
1406	C₂²	—	4	2	no	—
1407	C₂²	—	4	2	no	—
1408	C₂²	—	4	2	no	—
1409	C₂²	—	8	16	no	—
1410	C₂²	#525×C₁₃₉	1	4	yes	complemented
1411	C₂²	#546×C₁₃₉	1	4	yes	complemented
1412	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1413	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1414	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1415	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1416	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1417	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1418	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1419	C₄	—	2	2	no	—
1420	C₄	—	2	2	no	—
1421	C₄	—	2	2	no	—
1422	C₄	—	2	2	no	—
1423	C₄	—	2	2	no	—
1424	C₄	—	2	4	no	—
1425	C₄	—	2	2	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	2	no	—
1429	C₄	—	4	2	no	—
1430	C₄	—	4	2	no	—
1431	C₄	—	4	1	no	—
1432	C₄	—	4	2	no	—
1433	C₄	—	4	2	no	—
1434	C₄	D₄²×C₁₃₉	1	4	yes	—
1435	C₂	—	2	4	no	—
1436	C₂	—	2	4	no	—
1437	C₂	—	4	2	no	—
1438	C₂	—	4	2	no	—
1439	C₂	—	4	2	no	—
1440	C₂	—	4	4	no	—
1441	C₂	—	8	2	no	—
1442	C₂	C₂×#525×C₁₃₉	1	1	yes	characteristic
1443	C₂	C₂×D₄²×C₁₃₉	1	1	yes	characteristic
1444	C₂	C₂×#546×C₁₃₉	1	1	yes	characteristic
1445	C₂	D₄×#41×C₁₃₉	1	1	yes	characteristic
1446	C₂	#3488×C₁₃₉	1	1	yes	characteristic
1447	C₂	#3505×C₁₃₉	1	1	yes	characteristic
1448	C₂	#3519×C₁₃₉	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂×#546×C₁₃₉	C₂	semidirect
2. C₂×#525×C₁₃₉	C₂	semidirect
3. C₂²×#121×C₁₃₉	C₂	semidirect
4. C₂²×C₄×D₄×C₁₃₉	C₂	semidirect
5. #2850×C₁₃₉	C₂	semidirect
6. #2848×C₁₃₉	C₂	semidirect
7. #2847×C₁₃₉	C₂	semidirect
8. #2540×C₁₃₉	C₂	semidirect
9. #2535×C₁₃₉	C₂	semidirect
10. #2464×C₁₃₉	C₂	semidirect
11. #2456×C₁₃₉	C₂	semidirect
12. #2443×C₁₃₉	C₂	semidirect
13. #2424×C₁₃₉	C₂	semidirect
14. #2418×C₁₃₉	C₂	semidirect
15. #2417×C₁₃₉	C₂	semidirect
16. #2414×C₁₃₉	C₂	semidirect
17. #2408×C₁₃₉	C₂	semidirect
18. #2407×C₁₃₉	C₂	semidirect
19. #2403×C₁₃₉	C₂	semidirect
20. #2358×C₁₃₉	C₂	semidirect
21. #2352×C₁₃₉	C₂	semidirect
22. D₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
23. C₄×#121×C₁₃₉	C₂	semidirect
24. C₂²×#41×C₁₃₉	C₂²	semidirect
27. C₂³×D₄×C₁₃₉	C₂²	semidirect
29. C₂⁴×C₄×C₁₃₉	C₂²	semidirect
31. C₂×#124×C₁₃₉	C₂²	semidirect
33. C₂×#123×C₁₃₉	C₂²	semidirect
34. C₂×#123×C₁₃₉	C₂²	semidirect
35. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
36. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
37. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
38. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
43. C₂×#121×C₁₃₉	C₂²	semidirect
44. C₂×#121×C₁₃₉	C₂²	semidirect
45. C₂×#121×C₁₃₉	C₂²	semidirect
46. C₂×#121×C₁₃₉	C₂²	semidirect
47. C₂×#121×C₁₃₉	C₂²	semidirect
48. C₂×#121×C₁₃₉	C₂²	semidirect
49. C₂×#121×C₁₃₉	C₂²	semidirect
52. C₂×#120×C₁₃₉	C₂²	semidirect
53. C₂×#120×C₁₃₉	C₂²	semidirect
59. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
60. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
61. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
62. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
63. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
64. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
65. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
66. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
67. C₂×#117×C₁₃₉	C₂²	semidirect
68. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
69. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
71. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
72. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
73. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
74. C₂²×C₄²×C₁₃₉	C₂²	semidirect
75. #399×C₁₃₉	C₂²	semidirect
76. #398×C₁₃₉	C₂²	semidirect
77. #397×C₁₃₉	C₂²	semidirect
78. #396×C₁₃₉	C₂²	semidirect
79. #394×C₁₃₉	C₂²	semidirect
80. #394×C₁₃₉	C₂²	semidirect
81. #394×C₁₃₉	C₂²	semidirect
82. #392×C₁₃₉	C₂²	semidirect
83. #392×C₁₃₉	C₂²	semidirect
84. #392×C₁₃₉	C₂²	semidirect
85. #392×C₁₃₉	C₂²	semidirect
86. #392×C₁₃₉	C₂²	semidirect
87. #391×C₁₃₉	C₂²	semidirect
88. #390×C₁₃₉	C₂²	semidirect
89. #390×C₁₃₉	C₂²	semidirect
90. #390×C₁₃₉	C₂²	semidirect
91. #390×C₁₃₉	C₂²	semidirect
92. #390×C₁₃₉	C₂²	semidirect
93. #389×C₁₃₉	C₂²	semidirect
94. #388×C₁₃₉	C₂²	semidirect
95. #388×C₁₃₉	C₂²	semidirect
96. #388×C₁₃₉	C₂²	semidirect
97. #388×C₁₃₉	C₂²	semidirect
98. #388×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
109. #386×C₁₃₉	C₂²	semidirect
110. #386×C₁₃₉	C₂²	semidirect
111. #385×C₁₃₉	C₂²	semidirect
112. #385×C₁₃₉	C₂²	semidirect
113. #385×C₁₃₉	C₂²	semidirect
114. #385×C₁₃₉	C₂²	semidirect
115. #382×C₁₃₉	C₂²	semidirect
116. #380×C₁₃₉	C₂²	semidirect
117. #380×C₁₃₉	C₂²	semidirect
118. #380×C₁₃₉	C₂²	semidirect
119. #380×C₁₃₉	C₂²	semidirect
120. #380×C₁₃₉	C₂²	semidirect
121. #380×C₁₃₉	C₂²	semidirect
123. #379×C₁₃₉	C₂²	semidirect
124. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
125. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
126. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
196. #121×C₁₃₉	D₄	semidirect
212. C₄×D₄×C₁₃₉	D₄	semidirect
305. C₂⁴×C₁₃₉	#41	semidirect
363. C₂×D₄×C₁₃₉	C₂×D₄	semidirect
364. C₂×D₄×C₁₃₉	#41	semidirect
414. C₂²×C₄×C₁₃₉	C₂×D₄	semidirect
444. C₄⋊C₄×C₁₃₉	C₂×D₄	semidirect
445. C₄⋊C₄×C₁₃₉	C₂×D₄	semidirect
476. C₂²⋊C₄×C₁₃₉	C₂×D₄	semidirect
477. C₂²⋊C₄×C₁₃₉	C₂×D₄	semidirect
483. C₄²×C₁₃₉	C₂×D₄	semidirect
685. C₂²×C₁₃₉	#525	semidirect
686. C₂²×C₁₃₉	#546	semidirect
724. #36096	C₁₃₉	direct (N × H)
725. C₁₃₉	#36096	direct (N × H)
726. C₂×#546	C₂×C₁₃₉	semidirect
727. C₂×#525	C₂×C₁₃₉	semidirect
728. C₂²×#121	C₂×C₁₃₉	semidirect
729. C₂²×C₄×D₄	C₂×C₁₃₉	semidirect
730. #2850	C₂×C₁₃₉	semidirect
731. #2848	C₂×C₁₃₉	semidirect
732. #2847	C₂×C₁₃₉	semidirect
733. #2540	C₂×C₁₃₉	semidirect
734. #2535	C₂×C₁₃₉	semidirect
735. #2464	C₂×C₁₃₉	semidirect
736. #2456	C₂×C₁₃₉	semidirect
737. #2443	C₂×C₁₃₉	semidirect
738. #2424	C₂×C₁₃₉	semidirect
739. #2418	C₂×C₁₃₉	semidirect
740. #2417	C₂×C₁₃₉	semidirect
741. #2414	C₂×C₁₃₉	semidirect
742. #2408	C₂×C₁₃₉	semidirect
743. #2407	C₂×C₁₃₉	semidirect
744. #2403	C₂×C₁₃₉	semidirect
745. #2358	C₂×C₁₃₉	semidirect
746. #2352	C₂×C₁₃₉	semidirect
747. D₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
748. C₄×#121	C₂×C₁₃₉	semidirect
749. C₂²×#41	C₂²×C₁₃₉	semidirect
752. C₂³×D₄	C₂²×C₁₃₉	semidirect
754. C₂⁴×C₄	C₂²×C₁₃₉	semidirect
756. C₂×#124	C₂²×C₁₃₉	semidirect
758. C₂×#123	C₂²×C₁₃₉	semidirect
759. C₂×#123	C₂²×C₁₃₉	semidirect
760. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
761. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
762. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
763. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
768. C₂×#121	C₂²×C₁₃₉	semidirect
769. C₂×#121	C₂²×C₁₃₉	semidirect
770. C₂×#121	C₂²×C₁₃₉	semidirect
771. C₂×#121	C₂²×C₁₃₉	semidirect
772. C₂×#121	C₂²×C₁₃₉	semidirect
773. C₂×#121	C₂²×C₁₃₉	semidirect
774. C₂×#121	C₂²×C₁₃₉	semidirect
777. C₂×#120	C₂²×C₁₃₉	semidirect
778. C₂×#120	C₂²×C₁₃₉	semidirect
784. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
785. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
786. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
787. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
788. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
789. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
790. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
791. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
792. C₂×#117	C₂²×C₁₃₉	semidirect
793. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
794. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
796. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
797. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
798. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
799. C₂²×C₄²	C₂²×C₁₃₉	semidirect
800. #399	C₂²×C₁₃₉	semidirect
801. #398	C₂²×C₁₃₉	semidirect
802. #397	C₂²×C₁₃₉	semidirect
803. #396	C₂²×C₁₃₉	semidirect
804. #394	C₂²×C₁₃₉	semidirect
805. #394	C₂²×C₁₃₉	semidirect
806. #394	C₂²×C₁₃₉	semidirect
807. #392	C₂²×C₁₃₉	semidirect
808. #392	C₂²×C₁₃₉	semidirect
809. #392	C₂²×C₁₃₉	semidirect
810. #392	C₂²×C₁₃₉	semidirect
811. #392	C₂²×C₁₃₉	semidirect
812. #391	C₂²×C₁₃₉	semidirect
813. #390	C₂²×C₁₃₉	semidirect
814. #390	C₂²×C₁₃₉	semidirect
815. #390	C₂²×C₁₃₉	semidirect
816. #390	C₂²×C₁₃₉	semidirect
817. #390	C₂²×C₁₃₉	semidirect
818. #389	C₂²×C₁₃₉	semidirect
819. #388	C₂²×C₁₃₉	semidirect
820. #388	C₂²×C₁₃₉	semidirect
821. #388	C₂²×C₁₃₉	semidirect
822. #388	C₂²×C₁₃₉	semidirect
823. #388	C₂²×C₁₃₉	semidirect
824. #387	C₂²×C₁₃₉	semidirect
827. #386	C₂²×C₁₃₉	semidirect
828. #386	C₂²×C₁₃₉	semidirect
829. #386	C₂²×C₁₃₉	semidirect
830. #386	C₂²×C₁₃₉	semidirect
831. #386	C₂²×C₁₃₉	semidirect
832. #386	C₂²×C₁₃₉	semidirect
833. #386	C₂²×C₁₃₉	semidirect
834. #386	C₂²×C₁₃₉	semidirect
835. #386	C₂²×C₁₃₉	semidirect
836. #385	C₂²×C₁₃₉	semidirect
837. #385	C₂²×C₁₃₉	semidirect
838. #385	C₂²×C₁₃₉	semidirect
839. #385	C₂²×C₁₃₉	semidirect
840. #382	C₂²×C₁₃₉	semidirect
841. #380	C₂²×C₁₃₉	semidirect
842. #380	C₂²×C₁₃₉	semidirect
843. #380	C₂²×C₁₃₉	semidirect
844. #380	C₂²×C₁₃₉	semidirect
845. #380	C₂²×C₁₃₉	semidirect
846. #380	C₂²×C₁₃₉	semidirect
848. #379	C₂²×C₁₃₉	semidirect
849. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
850. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
851. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
921. #121	D₄×C₁₃₉	semidirect
937. C₄×D₄	D₄×C₁₃₉	semidirect
1030. C₂⁴	#41×C₁₃₉	semidirect
1088. C₂×D₄	C₂×D₄×C₁₃₉	semidirect
1089. C₂×D₄	#41×C₁₃₉	semidirect
1139. C₂²×C₄	C₂×D₄×C₁₃₉	semidirect
1169. C₄⋊C₄	C₂×D₄×C₁₃₉	semidirect
1170. C₄⋊C₄	C₂×D₄×C₁₃₉	semidirect
1201. C₂²⋊C₄	C₂×D₄×C₁₃₉	semidirect
1202. C₂²⋊C₄	C₂×D₄×C₁₃₉	semidirect
1208. C₄²	C₂×D₄×C₁₃₉	semidirect
1410. C₂²	#525×C₁₃₉	semidirect
1411. C₂²	#546×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#546×C₁₃₉	2
C₂×#525×C₁₃₉	2
C₂²×#121×C₁₃₉	2
C₂²×C₄×D₄×C₁₃₉	2
#2850×C₁₃₉	2
#2848×C₁₃₉	2
#2847×C₁₃₉	2
#2540×C₁₃₉	2
#2535×C₁₃₉	2
#2464×C₁₃₉	2
#2456×C₁₃₉	2
#2443×C₁₃₉	2
#2424×C₁₃₉	2
#2418×C₁₃₉	2
#2417×C₁₃₉	2
#2414×C₁₃₉	2
#2408×C₁₃₉	2
#2407×C₁₃₉	2
#2403×C₁₃₉	2
#2358×C₁₃₉	2
#2352×C₁₃₉	2
D₄×C₂²⋊C₄×C₁₃₉	2
C₄×#121×C₁₃₉	2
#36096	139

Subgroups — C139×#36096 #48030692

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36096 #48030692