Subgroups — D₄×#121×C₁₃₉ #48030689

Order 35584.

4816 conjugacy classes of subgroups.

The subgroup lattice has 1040 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₄²×C₁₃₉	C₂	1	2	yes	maximal, complemented
2	C₂×D₄²×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×#121×C₁₃₉	C₂	1	2	yes	maximal, complemented
4	C₂²×C₄×D₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2856×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2847×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2541×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2537×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2428×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2424×C₁₃₉	C₂	1	4	yes	maximal, complemented
11	#2416×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2416×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2410×C₁₃₉	C₂	1	4	yes	maximal, complemented
14	#2408×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	D₄×C₄⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	D₄×C₂²⋊C₄×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	C₄×#121×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂³×D₄×C₁₃₉	C₂²	1	2	yes	—
19	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
20	C₂³×D₄×C₁₃₉	C₂²	1	2	yes	complemented
21	C₂³×D₄×C₁₃₉	C₂²	1	4	yes	complemented
22	C₂⁴×C₄×C₁₃₉	C₂²	1	2	yes	complemented
23	D₄²×C₁₃₉	—	2	16	no	—
24	D₄²×C₁₃₉	—	2	8	no	—
25	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
26	C₂×#127×C₁₃₉	C₂²	1	2	yes	complemented
27	C₂×#121×C₁₃₉	—	2	16	no	—
28	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
29	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
30	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
31	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
32	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
33	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
34	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
35	C₂×#121×C₁₃₉	C₂²	1	4	yes	complemented
36	C₂×#121×C₁₃₉	C₂²	1	4	yes	complemented
37	C₂×#121×C₁₃₉	C₂²	1	4	yes	complemented
38	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
39	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
40	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
41	C₂×#120×C₁₃₉	C₂²	1	4	yes	complemented
42	C₂×#120×C₁₃₉	C₂²	1	4	yes	complemented
43	C₂×#120×C₁₃₉	C₂²	1	4	yes	complemented
44	C₂×C₄×D₄×C₁₃₉	—	2	8	no	—
45	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
47	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
51	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
52	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
53	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
54	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
55	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
56	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	4	yes	complemented
57	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
58	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
59	#396×C₁₃₉	C₂²	1	4	yes	complemented
60	#394×C₁₃₉	C₂²	1	4	yes	complemented
61	#394×C₁₃₉	C₂²	1	4	yes	complemented
62	#394×C₁₃₉	C₂²	1	4	yes	complemented
63	#392×C₁₃₉	C₂²	1	4	yes	complemented
64	#392×C₁₃₉	C₂²	1	4	yes	complemented
65	#390×C₁₃₉	C₂²	1	2	yes	complemented
66	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
67	#390×C₁₃₉	C₂²	1	2	yes	complemented
68	#390×C₁₃₉	C₂²	1	2	yes	complemented
69	#390×C₁₃₉	C₂²	1	2	yes	complemented
70	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
71	#389×C₁₃₉	C₂²	1	2	yes	complemented
72	#388×C₁₃₉	C₂²	1	2	yes	complemented
73	#386×C₁₃₉	C₂²	1	2	yes	complemented
74	#386×C₁₃₉	C₂²	1	4	yes	complemented
75	#386×C₁₃₉	C₂²	1	4	yes	complemented
76	#386×C₁₃₉	C₂²	1	4	yes	complemented
77	#386×C₁₃₉	C₂²	1	4	yes	complemented
78	#385×C₁₃₉	C₂²	1	4	yes	complemented
79	#384×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
80	#380×C₁₃₉	C₂²	1	2	yes	complemented
81	#380×C₁₃₉	C₂²	1	2	yes	complemented
82	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
83	#380×C₁₃₉	C₂²	1	2	yes	complemented
84	#379×C₁₃₉	C₂²	1	4	yes	complemented
85	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
86	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
87	C₂⁵×C₁₃₉	C₂³	1	4	yes	—
88	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
89	C₂²×D₄×C₁₃₉	—	2	4	no	—
90	C₂²×D₄×C₁₃₉	—	2	4	no	—
91	C₂²×D₄×C₁₃₉	—	2	16	no	—
92	C₂²×D₄×C₁₃₉	—	2	8	no	—
93	C₂²×D₄×C₁₃₉	—	2	8	no	—
94	C₂²×D₄×C₁₃₉	—	2	8	no	—
95	C₂²×D₄×C₁₃₉	—	2	16	no	—
96	C₂²×D₄×C₁₃₉	—	2	8	no	—
97	C₂²×D₄×C₁₃₉	—	2	8	no	—
98	C₂²×D₄×C₁₃₉	—	4	4	no	—
99	C₂²×D₄×C₁₃₉	—	4	8	no	—
100	C₂²×D₄×C₁₃₉	D₄	1	8	yes	complemented
101	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
102	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
103	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
104	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
105	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
106	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
107	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
108	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
109	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
110	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
111	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
112	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
113	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
114	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
115	C₂³×C₄×C₁₃₉	—	2	8	no	—
116	C₂³×C₄×C₁₃₉	—	2	8	no	—
117	C₂³×C₄×C₁₃₉	—	4	4	no	—
118	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
119	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
120	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
121	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
122	C₂³×C₄×C₁₃₉	C₂³	1	4	yes	—
123	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
124	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
125	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
126	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
128	#127×C₁₃₉	—	2	8	no	—
129	#127×C₁₃₉	—	2	4	no	—
130	#121×C₁₃₉	—	2	8	no	—
131	#121×C₁₃₉	—	2	16	no	—
132	#121×C₁₃₉	—	2	8	no	—
133	#121×C₁₃₉	—	2	16	no	—
134	#121×C₁₃₉	—	2	8	no	—
135	#121×C₁₃₉	—	2	8	no	—
136	#121×C₁₃₉	—	2	8	no	—
137	#121×C₁₃₉	—	2	8	no	—
138	#121×C₁₃₉	—	2	8	no	—
139	#121×C₁₃₉	—	2	16	no	—
140	#121×C₁₃₉	—	4	4	no	—
141	#121×C₁₃₉	—	4	4	no	—
142	#121×C₁₃₉	D₄	1	8	yes	direct product factor
143	#120×C₁₃₉	—	2	16	no	—
144	#120×C₁₃₉	—	2	16	no	—
145	#120×C₁₃₉	—	2	16	no	—
146	C₄×D₄×C₁₃₉	—	2	4	no	—
147	C₄×D₄×C₁₃₉	—	2	8	no	—
148	C₄×D₄×C₁₃₉	—	2	8	no	—
149	C₄×D₄×C₁₃₉	—	2	8	no	—
150	C₄×D₄×C₁₃₉	—	2	4	no	—
151	C₄×D₄×C₁₃₉	—	2	8	no	—
152	C₄×D₄×C₁₃₉	—	2	4	no	—
153	C₄×D₄×C₁₃₉	—	2	4	no	—
154	C₄×D₄×C₁₃₉	D₄	1	8	yes	complemented
155	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
156	C₂×C₄⋊C₄×C₁₃₉	—	2	8	no	—
157	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
158	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
159	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	4	yes	—
160	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
161	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
162	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
163	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
164	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
165	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
166	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
167	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
168	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
169	C₂×C₂²⋊C₄×C₁₃₉	—	2	16	no	—
170	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
171	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
172	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
173	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
174	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
175	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
176	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
177	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
178	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
179	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
180	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
182	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
183	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
184	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
185	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
186	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
187	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
188	C₂×C₄²×C₁₃₉	—	2	4	no	—
189	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
190	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
191	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
192	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
193	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
194	#95×C₁₃₉	C₂³	1	4	yes	—
195	#95×C₁₃₉	C₂³	1	2	yes	—
196	#95×C₁₃₉	C₂³	1	2	yes	—
197	#95×C₁₃₉	C₂³	1	2	yes	—
198	#95×C₁₃₉	C₂³	1	4	yes	—
199	C₂⁴×C₁₃₉	—	2	4	no	—
200	C₂⁴×C₁₃₉	—	2	4	no	—
201	C₂⁴×C₁₃₉	—	2	4	no	—
202	C₂⁴×C₁₃₉	—	2	4	no	—
203	C₂⁴×C₁₃₉	—	2	8	no	—
204	C₂⁴×C₁₃₉	—	2	8	no	—
205	C₂⁴×C₁₃₉	—	2	8	no	—
206	C₂⁴×C₁₃₉	—	2	8	no	—
207	C₂⁴×C₁₃₉	—	4	2	no	—
208	C₂⁴×C₁₃₉	—	4	2	no	—
209	C₂⁴×C₁₃₉	—	4	4	no	—
210	C₂⁴×C₁₃₉	—	4	4	no	—
211	C₂⁴×C₁₃₉	—	4	4	no	—
212	C₂⁴×C₁₃₉	C₂×D₄	1	8	yes	complemented
213	C₂⁴×C₁₃₉	C₂⁴	1	4	yes	—
214	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
215	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
216	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
217	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
218	C₂×D₄×C₁₃₉	—	2	4	no	—
219	C₂×D₄×C₁₃₉	—	2	4	no	—
220	C₂×D₄×C₁₃₉	—	2	4	no	—
221	C₂×D₄×C₁₃₉	—	2	4	no	—
222	C₂×D₄×C₁₃₉	—	2	32	no	—
223	C₂×D₄×C₁₃₉	—	2	8	no	—
224	C₂×D₄×C₁₃₉	—	2	8	no	—
225	C₂×D₄×C₁₃₉	—	2	8	no	—
226	C₂×D₄×C₁₃₉	—	2	8	no	—
227	C₂×D₄×C₁₃₉	—	2	8	no	—
228	C₂×D₄×C₁₃₉	—	2	8	no	—
229	C₂×D₄×C₁₃₉	—	2	8	no	—
230	C₂×D₄×C₁₃₉	—	2	8	no	—
231	C₂×D₄×C₁₃₉	—	2	8	no	—
232	C₂×D₄×C₁₃₉	—	2	8	no	—
233	C₂×D₄×C₁₃₉	—	2	8	no	—
234	C₂×D₄×C₁₃₉	—	2	2	no	—
235	C₂×D₄×C₁₃₉	—	2	2	no	—
236	C₂×D₄×C₁₃₉	—	2	8	no	—
237	C₂×D₄×C₁₃₉	—	2	8	no	—
238	C₂×D₄×C₁₃₉	—	2	4	no	—
239	C₂×D₄×C₁₃₉	—	2	4	no	—
240	C₂×D₄×C₁₃₉	—	2	4	no	—
241	C₂×D₄×C₁₃₉	—	2	4	no	—
242	C₂×D₄×C₁₃₉	—	2	4	no	—
243	C₂×D₄×C₁₃₉	—	2	2	no	—
244	C₂×D₄×C₁₃₉	—	2	4	no	—
245	C₂×D₄×C₁₃₉	—	2	2	no	—
246	C₂×D₄×C₁₃₉	—	2	4	no	—
247	C₂×D₄×C₁₃₉	—	4	32	no	—
248	C₂×D₄×C₁₃₉	—	4	4	no	—
249	C₂×D₄×C₁₃₉	—	4	4	no	—
250	C₂×D₄×C₁₃₉	—	4	4	no	—
251	C₂×D₄×C₁₃₉	—	4	2	no	—
252	C₂×D₄×C₁₃₉	—	4	4	no	—
253	C₂×D₄×C₁₃₉	—	4	2	no	—
254	C₂×D₄×C₁₃₉	—	4	4	no	—
255	C₂×D₄×C₁₃₉	—	4	64	no	—
256	C₂×D₄×C₁₃₉	—	4	32	no	—
257	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
258	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
259	C₂×D₄×C₁₃₉	C₂×D₄	1	8	yes	complemented
260	C₂×D₄×C₁₃₉	C₂×D₄	1	8	yes	complemented
261	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
262	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
263	C₂×D₄×C₁₃₉	#41	1	4	yes	—
264	C₂²×C₄×C₁₃₉	—	2	2	no	—
265	C₂²×C₄×C₁₃₉	—	2	2	no	—
266	C₂²×C₄×C₁₃₉	—	2	4	no	—
267	C₂²×C₄×C₁₃₉	—	2	2	no	—
268	C₂²×C₄×C₁₃₉	—	2	2	no	—
269	C₂²×C₄×C₁₃₉	—	2	4	no	—
270	C₂²×C₄×C₁₃₉	—	2	4	no	—
271	C₂²×C₄×C₁₃₉	—	2	8	no	—
272	C₂²×C₄×C₁₃₉	—	2	4	no	—
273	C₂²×C₄×C₁₃₉	—	2	2	no	—
274	C₂²×C₄×C₁₃₉	—	2	2	no	—
275	C₂²×C₄×C₁₃₉	—	2	4	no	—
276	C₂²×C₄×C₁₃₉	—	2	4	no	—
277	C₂²×C₄×C₁₃₉	—	2	8	no	—
278	C₂²×C₄×C₁₃₉	—	2	4	no	—
279	C₂²×C₄×C₁₃₉	—	2	4	no	—
280	C₂²×C₄×C₁₃₉	—	2	4	no	—
281	C₂²×C₄×C₁₃₉	—	2	4	no	—
282	C₂²×C₄×C₁₃₉	—	2	4	no	—
283	C₂²×C₄×C₁₃₉	—	2	4	no	—
284	C₂²×C₄×C₁₃₉	—	2	4	no	—
285	C₂²×C₄×C₁₃₉	—	2	4	no	—
286	C₂²×C₄×C₁₃₉	—	4	2	no	—
287	C₂²×C₄×C₁₃₉	—	4	2	no	—
288	C₂²×C₄×C₁₃₉	—	4	2	no	—
289	C₂²×C₄×C₁₃₉	—	4	1	no	—
290	C₂²×C₄×C₁₃₉	—	4	4	no	—
291	C₂²×C₄×C₁₃₉	—	4	32	no	—
292	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
293	C₂²×C₄×C₁₃₉	C₂×D₄	1	8	yes	complemented
294	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
295	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
296	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
297	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
298	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
299	C₂²×C₄×C₁₃₉	C₂⁴	1	4	yes	—
300	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
301	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
302	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
303	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
304	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
306	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
307	C₄⋊C₄×C₁₃₉	—	2	4	no	—
308	C₄⋊C₄×C₁₃₉	—	2	2	no	—
309	C₄⋊C₄×C₁₃₉	—	2	8	no	—
310	C₄⋊C₄×C₁₃₉	—	2	4	no	—
311	C₄⋊C₄×C₁₃₉	—	2	4	no	—
312	C₄⋊C₄×C₁₃₉	—	2	4	no	—
313	C₄⋊C₄×C₁₃₉	—	2	2	no	—
314	C₄⋊C₄×C₁₃₉	—	2	2	no	—
315	C₄⋊C₄×C₁₃₉	—	4	2	no	—
316	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
317	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
318	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
319	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
320	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
321	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
322	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
323	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
324	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
325	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
326	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
327	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
328	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
329	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
330	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
331	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
332	C₂²⋊C₄×C₁₃₉	—	4	4	no	—
333	C₂²⋊C₄×C₁₃₉	—	4	4	no	—
334	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	complemented
335	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	complemented
336	C₄²×C₁₃₉	—	2	2	no	—
337	C₄²×C₁₃₉	—	2	2	no	—
338	C₄²×C₁₃₉	—	2	2	no	—
339	C₄²×C₁₃₉	—	2	4	no	—
340	C₄²×C₁₃₉	C₂×D₄	1	4	yes	complemented
341	C₂³×C₁₃₉	—	2	1	no	—
342	C₂³×C₁₃₉	—	2	2	no	—
343	C₂³×C₁₃₉	—	2	1	no	—
344	C₂³×C₁₃₉	—	2	1	no	—
345	C₂³×C₁₃₉	—	2	2	no	—
346	C₂³×C₁₃₉	—	2	2	no	—
347	C₂³×C₁₃₉	—	2	1	no	—
348	C₂³×C₁₃₉	—	2	2	no	—
349	C₂³×C₁₃₉	—	2	16	no	—
350	C₂³×C₁₃₉	—	2	16	no	—
351	C₂³×C₁₃₉	—	2	2	no	—
352	C₂³×C₁₃₉	—	2	2	no	—
353	C₂³×C₁₃₉	—	2	2	no	—
354	C₂³×C₁₃₉	—	2	2	no	—
355	C₂³×C₁₃₉	—	2	2	no	—
356	C₂³×C₁₃₉	—	2	2	no	—
357	C₂³×C₁₃₉	—	2	2	no	—
358	C₂³×C₁₃₉	—	2	2	no	—
359	C₂³×C₁₃₉	—	2	2	no	—
360	C₂³×C₁₃₉	—	2	2	no	—
361	C₂³×C₁₃₉	—	2	2	no	—
362	C₂³×C₁₃₉	—	2	2	no	—
363	C₂³×C₁₃₉	—	2	4	no	—
364	C₂³×C₁₃₉	—	2	4	no	—
365	C₂³×C₁₃₉	—	2	4	no	—
366	C₂³×C₁₃₉	—	2	4	no	—
367	C₂³×C₁₃₉	—	2	4	no	—
368	C₂³×C₁₃₉	—	2	4	no	—
369	C₂³×C₁₃₉	—	2	4	no	—
370	C₂³×C₁₃₉	—	4	8	no	—
371	C₂³×C₁₃₉	—	4	8	no	—
372	C₂³×C₁₃₉	—	4	8	no	—
373	C₂³×C₁₃₉	—	4	8	no	—
374	C₂³×C₁₃₉	—	4	8	no	—
375	C₂³×C₁₃₉	—	4	16	no	—
376	C₂³×C₁₃₉	—	4	16	no	—
377	C₂³×C₁₃₉	—	4	16	no	—
378	C₂³×C₁₃₉	—	4	16	no	—
379	C₂³×C₁₃₉	—	8	8	no	—
380	C₂³×C₁₃₉	—	8	8	no	—
381	C₂³×C₁₃₉	—	8	8	no	—
382	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
383	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
384	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
385	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
386	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
387	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
388	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
389	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
390	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
391	D₄×C₁₃₉	—	2	16	no	—
392	D₄×C₁₃₉	—	2	16	no	—
393	D₄×C₁₃₉	—	2	8	no	—
394	D₄×C₁₃₉	—	2	8	no	—
395	D₄×C₁₃₉	—	4	16	no	—
396	D₄×C₁₃₉	—	4	16	no	—
397	D₄×C₁₃₉	—	4	16	no	—
398	D₄×C₁₃₉	—	4	16	no	—
399	D₄×C₁₃₉	—	4	16	no	—
400	D₄×C₁₃₉	—	4	8	no	—
401	D₄×C₁₃₉	—	4	8	no	—
402	D₄×C₁₃₉	—	8	4	no	—
403	D₄×C₁₃₉	—	8	8	no	—
404	D₄×C₁₃₉	#121	1	16	yes	direct product factor
405	C₂×C₄×C₁₃₉	—	2	1	no	—
406	C₂×C₄×C₁₃₉	—	2	1	no	—
407	C₂×C₄×C₁₃₉	—	2	2	no	—
408	C₂×C₄×C₁₃₉	—	2	2	no	—
409	C₂×C₄×C₁₃₉	—	2	1	no	—
410	C₂×C₄×C₁₃₉	—	2	1	no	—
411	C₂×C₄×C₁₃₉	—	2	1	no	—
412	C₂×C₄×C₁₃₉	—	2	2	no	—
413	C₂×C₄×C₁₃₉	—	2	2	no	—
414	C₂×C₄×C₁₃₉	—	2	1	no	—
415	C₂×C₄×C₁₃₉	—	2	8	no	—
416	C₂×C₄×C₁₃₉	—	2	8	no	—
417	C₂×C₄×C₁₃₉	—	2	16	no	—
418	C₂×C₄×C₁₃₉	—	2	1	no	—
419	C₂×C₄×C₁₃₉	—	2	2	no	—
420	C₂×C₄×C₁₃₉	—	2	2	no	—
421	C₂×C₄×C₁₃₉	—	2	2	no	—
422	C₂×C₄×C₁₃₉	—	2	2	no	—
423	C₂×C₄×C₁₃₉	—	2	4	no	—
424	C₂×C₄×C₁₃₉	—	2	2	no	—
425	C₂×C₄×C₁₃₉	—	2	4	no	—
426	C₂×C₄×C₁₃₉	—	2	2	no	—
427	C₂×C₄×C₁₃₉	—	2	1	no	—
428	C₂×C₄×C₁₃₉	—	2	2	no	—
429	C₂×C₄×C₁₃₉	—	2	2	no	—
430	C₂×C₄×C₁₃₉	—	2	4	no	—
431	C₂×C₄×C₁₃₉	—	2	1	no	—
432	C₂×C₄×C₁₃₉	—	2	2	no	—
433	C₂×C₄×C₁₃₉	—	4	8	no	—
434	C₂×C₄×C₁₃₉	—	4	4	no	—
435	C₂×C₄×C₁₃₉	—	4	8	no	—
436	C₂×C₄×C₁₃₉	—	4	8	no	—
437	C₂×C₄×C₁₃₉	—	4	16	no	—
438	C₂×C₄×C₁₃₉	—	4	8	no	—
439	C₂×C₄×C₁₃₉	—	4	8	no	—
440	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
441	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
442	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
443	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
444	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
445	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
446	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
447	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
448	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
449	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
450	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
451	C₂²×C₁₃₉	—	2	2	no	—
452	C₂²×C₁₃₉	—	2	2	no	—
453	C₂²×C₁₃₉	—	2	4	no	—
454	C₂²×C₁₃₉	—	2	4	no	—
455	C₂²×C₁₃₉	—	2	4	no	—
456	C₂²×C₁₃₉	—	2	2	no	—
457	C₂²×C₁₃₉	—	2	2	no	—
458	C₂²×C₁₃₉	—	2	4	no	—
459	C₂²×C₁₃₉	—	2	2	no	—
460	C₂²×C₁₃₉	—	2	4	no	—
461	C₂²×C₁₃₉	—	2	2	no	—
462	C₂²×C₁₃₉	—	2	4	no	—
463	C₂²×C₁₃₉	—	2	4	no	—
464	C₂²×C₁₃₉	—	2	4	no	—
465	C₂²×C₁₃₉	—	2	4	no	—
466	C₂²×C₁₃₉	—	2	4	no	—
467	C₂²×C₁₃₉	—	2	4	no	—
468	C₂²×C₁₃₉	—	2	4	no	—
469	C₂²×C₁₃₉	—	4	32	no	—
470	C₂²×C₁₃₉	—	4	2	no	—
471	C₂²×C₁₃₉	—	4	2	no	—
472	C₂²×C₁₃₉	—	4	2	no	—
473	C₂²×C₁₃₉	—	4	2	no	—
474	C₂²×C₁₃₉	—	4	2	no	—
475	C₂²×C₁₃₉	—	4	2	no	—
476	C₂²×C₁₃₉	—	4	2	no	—
477	C₂²×C₁₃₉	—	4	2	no	—
478	C₂²×C₁₃₉	—	4	4	no	—
479	C₂²×C₁₃₉	—	4	4	no	—
480	C₂²×C₁₃₉	—	4	4	no	—
481	C₂²×C₁₃₉	—	4	4	no	—
482	C₂²×C₁₃₉	—	4	4	no	—
483	C₂²×C₁₃₉	—	4	4	no	—
484	C₂²×C₁₃₉	—	4	4	no	—
485	C₂²×C₁₃₉	—	8	32	no	—
486	C₂²×C₁₃₉	C₂×#121	1	8	yes	complemented
487	C₂²×C₁₃₉	D₄²	1	4	yes	complemented
488	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
489	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
490	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
491	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
492	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
493	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
494	C₂²×C₁₃₉	#585	1	1	yes	characteristic
495	C₄×C₁₃₉	—	2	2	no	—
496	C₄×C₁₃₉	—	2	2	no	—
497	C₄×C₁₃₉	—	2	4	no	—
498	C₄×C₁₃₉	—	2	4	no	—
499	C₄×C₁₃₉	—	2	2	no	—
500	C₄×C₁₃₉	—	4	2	no	—
501	C₄×C₁₃₉	—	4	2	no	—
502	C₄×C₁₃₉	—	4	4	no	—
503	C₄×C₁₃₉	—	4	1	no	—
504	C₄×C₁₃₉	—	4	2	no	—
505	C₄×C₁₃₉	C₂×#121	1	4	yes	complemented
506	C₄×C₁₃₉	D₄²	1	4	yes	complemented
507	C₂×C₁₃₉	—	2	4	no	—
508	C₂×C₁₃₉	—	2	8	no	—
509	C₂×C₁₃₉	—	4	4	no	—
510	C₂×C₁₃₉	—	4	4	no	—
511	C₂×C₁₃₉	—	8	4	no	—
512	C₂×C₁₃₉	C₂²×#121	1	1	yes	characteristic
513	C₂×C₁₃₉	C₂×D₄²	1	1	yes	characteristic
514	C₂×C₁₃₉	C₂×D₄²	1	1	yes	characteristic
515	C₂×C₁₃₉	D₄×#41	1	1	yes	characteristic
516	C₂×C₁₃₉	#3488	1	1	yes	characteristic
517	C₂×C₁₃₉	#3496	1	1	yes	characteristic
518	C₂×C₁₃₉	#3519	1	1	yes	characteristic
519	D₄×#121	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
520	C₁₃₉	D₄×#121	1	1	yes	characteristic, direct product factor, Sylow
521	C₂×D₄²	C₂×C₁₃₉	1	2	yes	complemented
522	C₂×D₄²	C₂×C₁₃₉	1	1	yes	characteristic, complemented
523	C₂²×#121	C₂×C₁₃₉	1	2	yes	complemented
524	C₂²×C₄×D₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
525	#2856	C₂×C₁₃₉	1	1	yes	characteristic, complemented
526	#2847	C₂×C₁₃₉	1	2	yes	complemented
527	#2541	C₂×C₁₃₉	1	1	yes	characteristic, complemented
528	#2537	C₂×C₁₃₉	1	1	yes	characteristic, complemented
529	#2428	C₂×C₁₃₉	1	2	yes	complemented
530	#2424	C₂×C₁₃₉	1	4	yes	complemented
531	#2416	C₂×C₁₃₉	1	2	yes	complemented
532	#2416	C₂×C₁₃₉	1	2	yes	complemented
533	#2410	C₂×C₁₃₉	1	4	yes	complemented
534	#2408	C₂×C₁₃₉	1	2	yes	complemented
535	D₄×C₄⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
536	D₄×C₂²⋊C₄	C₂×C₁₃₉	1	2	yes	complemented
537	C₄×#121	C₂×C₁₃₉	1	1	yes	characteristic, complemented
538	C₂³×D₄	C₂²×C₁₃₉	1	2	yes	—
539	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
540	C₂³×D₄	C₂²×C₁₃₉	1	2	yes	complemented
541	C₂³×D₄	C₂²×C₁₃₉	1	4	yes	complemented
542	C₂⁴×C₄	C₂²×C₁₃₉	1	2	yes	complemented
543	D₄²	—	2	16	no	—
544	D₄²	—	2	8	no	—
545	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
546	C₂×#127	C₂²×C₁₃₉	1	2	yes	complemented
547	C₂×#121	—	2	16	no	—
548	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
549	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
550	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
551	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
552	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
553	C₂×#121	C₂²×C₁₃₉	1	4	yes	complemented
554	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
555	C₂×#121	C₂²×C₁₃₉	1	4	yes	complemented
556	C₂×#121	C₂²×C₁₃₉	1	4	yes	complemented
557	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
558	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
559	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
560	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
561	C₂×#120	C₂²×C₁₃₉	1	4	yes	complemented
562	C₂×#120	C₂²×C₁₃₉	1	4	yes	complemented
563	C₂×#120	C₂²×C₁₃₉	1	4	yes	complemented
564	C₂×C₄×D₄	—	2	8	no	—
565	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
566	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
567	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
568	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
569	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
570	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
571	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
572	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
573	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
574	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
575	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
576	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	4	yes	complemented
577	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
578	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
579	#396	C₂²×C₁₃₉	1	4	yes	complemented
580	#394	C₂²×C₁₃₉	1	4	yes	complemented
581	#394	C₂²×C₁₃₉	1	4	yes	complemented
582	#394	C₂²×C₁₃₉	1	4	yes	complemented
583	#392	C₂²×C₁₃₉	1	4	yes	complemented
584	#392	C₂²×C₁₃₉	1	4	yes	complemented
585	#390	C₂²×C₁₃₉	1	2	yes	complemented
586	#390	C₂²×C₁₃₉	1	2	yes	complemented
587	#390	C₂²×C₁₃₉	1	2	yes	complemented
588	#390	C₂²×C₁₃₉	1	2	yes	complemented
589	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
590	#389	C₂²×C₁₃₉	1	2	yes	complemented
591	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
592	#388	C₂²×C₁₃₉	1	2	yes	complemented
593	#386	C₂²×C₁₃₉	1	4	yes	complemented
594	#386	C₂²×C₁₃₉	1	4	yes	complemented
595	#386	C₂²×C₁₃₉	1	4	yes	complemented
596	#386	C₂²×C₁₃₉	1	4	yes	complemented
597	#386	C₂²×C₁₃₉	1	2	yes	complemented
598	#385	C₂²×C₁₃₉	1	4	yes	complemented
599	#384	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
600	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
601	#380	C₂²×C₁₃₉	1	2	yes	complemented
602	#380	C₂²×C₁₃₉	1	2	yes	complemented
603	#380	C₂²×C₁₃₉	1	2	yes	complemented
604	#379	C₂²×C₁₃₉	1	4	yes	complemented
605	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
606	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
607	C₂⁵	C₂³×C₁₃₉	1	4	yes	—
608	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
609	C₂²×D₄	—	2	4	no	—
610	C₂²×D₄	—	2	4	no	—
611	C₂²×D₄	—	2	16	no	—
612	C₂²×D₄	—	2	8	no	—
613	C₂²×D₄	—	2	8	no	—
614	C₂²×D₄	—	2	8	no	—
615	C₂²×D₄	—	2	16	no	—
616	C₂²×D₄	—	2	8	no	—
617	C₂²×D₄	—	2	8	no	—
618	C₂²×D₄	—	4	4	no	—
619	C₂²×D₄	—	4	8	no	—
620	C₂²×D₄	D₄×C₁₃₉	1	8	yes	complemented
621	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
622	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
623	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
624	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
625	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
626	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
627	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
628	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
629	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
630	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
631	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
632	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
633	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
634	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
635	C₂³×C₄	—	2	8	no	—
636	C₂³×C₄	—	2	8	no	—
637	C₂³×C₄	—	4	4	no	—
638	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
639	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
640	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
641	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
642	C₂³×C₄	C₂³×C₁₃₉	1	4	yes	—
643	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
644	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
645	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
646	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
647	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
648	#127	—	2	8	no	—
649	#127	—	2	4	no	—
650	#121	—	2	8	no	—
651	#121	—	2	16	no	—
652	#121	—	2	8	no	—
653	#121	—	2	16	no	—
654	#121	—	2	8	no	—
655	#121	—	2	8	no	—
656	#121	—	2	8	no	—
657	#121	—	2	8	no	—
658	#121	—	2	8	no	—
659	#121	—	2	16	no	—
660	#121	—	4	4	no	—
661	#121	—	4	4	no	—
662	#121	D₄×C₁₃₉	1	8	yes	direct product factor
663	#120	—	2	16	no	—
664	#120	—	2	16	no	—
665	#120	—	2	16	no	—
666	C₄×D₄	—	2	4	no	—
667	C₄×D₄	—	2	8	no	—
668	C₄×D₄	—	2	8	no	—
669	C₄×D₄	—	2	8	no	—
670	C₄×D₄	—	2	4	no	—
671	C₄×D₄	—	2	8	no	—
672	C₄×D₄	—	2	4	no	—
673	C₄×D₄	—	2	4	no	—
674	C₄×D₄	D₄×C₁₃₉	1	8	yes	complemented
675	C₂×C₄⋊C₄	—	2	4	no	—
676	C₂×C₄⋊C₄	—	2	8	no	—
677	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
678	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
679	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
680	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	4	yes	—
681	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
682	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
683	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
684	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
685	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
686	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
687	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
688	C₂×C₂²⋊C₄	—	2	8	no	—
689	C₂×C₂²⋊C₄	—	2	16	no	—
690	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
691	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
692	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
693	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
694	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
695	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
696	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
697	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
698	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
699	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
700	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
701	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
702	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
703	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
704	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
705	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
706	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
707	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
708	C₂×C₄²	—	2	4	no	—
709	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
710	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
711	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
712	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
713	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
714	#95	C₂³×C₁₃₉	1	2	yes	—
715	#95	C₂³×C₁₃₉	1	2	yes	—
716	#95	C₂³×C₁₃₉	1	2	yes	—
717	#95	C₂³×C₁₃₉	1	4	yes	—
718	#95	C₂³×C₁₃₉	1	4	yes	—
719	C₂⁴	—	2	4	no	—
720	C₂⁴	—	2	4	no	—
721	C₂⁴	—	2	4	no	—
722	C₂⁴	—	2	4	no	—
723	C₂⁴	—	2	8	no	—
724	C₂⁴	—	2	8	no	—
725	C₂⁴	—	2	8	no	—
726	C₂⁴	—	2	8	no	—
727	C₂⁴	—	4	2	no	—
728	C₂⁴	—	4	2	no	—
729	C₂⁴	—	4	4	no	—
730	C₂⁴	—	4	4	no	—
731	C₂⁴	—	4	4	no	—
732	C₂⁴	C₂×D₄×C₁₃₉	1	8	yes	complemented
733	C₂⁴	C₂⁴×C₁₃₉	1	4	yes	—
734	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
735	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
736	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
737	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
738	C₂×D₄	—	2	4	no	—
739	C₂×D₄	—	2	4	no	—
740	C₂×D₄	—	2	4	no	—
741	C₂×D₄	—	2	4	no	—
742	C₂×D₄	—	2	32	no	—
743	C₂×D₄	—	2	8	no	—
744	C₂×D₄	—	2	8	no	—
745	C₂×D₄	—	2	8	no	—
746	C₂×D₄	—	2	8	no	—
747	C₂×D₄	—	2	8	no	—
748	C₂×D₄	—	2	8	no	—
749	C₂×D₄	—	2	8	no	—
750	C₂×D₄	—	2	8	no	—
751	C₂×D₄	—	2	8	no	—
752	C₂×D₄	—	2	8	no	—
753	C₂×D₄	—	2	8	no	—
754	C₂×D₄	—	2	2	no	—
755	C₂×D₄	—	2	2	no	—
756	C₂×D₄	—	2	8	no	—
757	C₂×D₄	—	2	8	no	—
758	C₂×D₄	—	2	4	no	—
759	C₂×D₄	—	2	4	no	—
760	C₂×D₄	—	2	4	no	—
761	C₂×D₄	—	2	4	no	—
762	C₂×D₄	—	2	4	no	—
763	C₂×D₄	—	2	2	no	—
764	C₂×D₄	—	2	4	no	—
765	C₂×D₄	—	2	2	no	—
766	C₂×D₄	—	2	4	no	—
767	C₂×D₄	—	4	32	no	—
768	C₂×D₄	—	4	4	no	—
769	C₂×D₄	—	4	4	no	—
770	C₂×D₄	—	4	4	no	—
771	C₂×D₄	—	4	2	no	—
772	C₂×D₄	—	4	4	no	—
773	C₂×D₄	—	4	2	no	—
774	C₂×D₄	—	4	4	no	—
775	C₂×D₄	—	4	64	no	—
776	C₂×D₄	—	4	32	no	—
777	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
778	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
779	C₂×D₄	C₂×D₄×C₁₃₉	1	8	yes	complemented
780	C₂×D₄	C₂×D₄×C₁₃₉	1	8	yes	complemented
781	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
782	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
783	C₂×D₄	#41×C₁₃₉	1	4	yes	—
784	C₂²×C₄	—	2	2	no	—
785	C₂²×C₄	—	2	2	no	—
786	C₂²×C₄	—	2	4	no	—
787	C₂²×C₄	—	2	2	no	—
788	C₂²×C₄	—	2	2	no	—
789	C₂²×C₄	—	2	4	no	—
790	C₂²×C₄	—	2	4	no	—
791	C₂²×C₄	—	2	8	no	—
792	C₂²×C₄	—	2	4	no	—
793	C₂²×C₄	—	2	2	no	—
794	C₂²×C₄	—	2	2	no	—
795	C₂²×C₄	—	2	4	no	—
796	C₂²×C₄	—	2	4	no	—
797	C₂²×C₄	—	2	8	no	—
798	C₂²×C₄	—	2	4	no	—
799	C₂²×C₄	—	2	4	no	—
800	C₂²×C₄	—	2	4	no	—
801	C₂²×C₄	—	2	4	no	—
802	C₂²×C₄	—	2	4	no	—
803	C₂²×C₄	—	2	4	no	—
804	C₂²×C₄	—	2	4	no	—
805	C₂²×C₄	—	2	4	no	—
806	C₂²×C₄	—	4	2	no	—
807	C₂²×C₄	—	4	2	no	—
808	C₂²×C₄	—	4	2	no	—
809	C₂²×C₄	—	4	1	no	—
810	C₂²×C₄	—	4	4	no	—
811	C₂²×C₄	—	4	32	no	—
812	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
813	C₂²×C₄	C₂×D₄×C₁₃₉	1	8	yes	complemented
814	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
815	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
816	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
817	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
818	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
819	C₂²×C₄	C₂⁴×C₁₃₉	1	4	yes	—
820	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
821	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
822	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
823	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
824	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
825	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
826	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
827	C₄⋊C₄	—	2	4	no	—
828	C₄⋊C₄	—	2	2	no	—
829	C₄⋊C₄	—	2	8	no	—
830	C₄⋊C₄	—	2	4	no	—
831	C₄⋊C₄	—	2	4	no	—
832	C₄⋊C₄	—	2	4	no	—
833	C₄⋊C₄	—	2	2	no	—
834	C₄⋊C₄	—	2	2	no	—
835	C₄⋊C₄	—	4	2	no	—
836	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
837	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
838	C₂²⋊C₄	—	2	4	no	—
839	C₂²⋊C₄	—	2	8	no	—
840	C₂²⋊C₄	—	2	8	no	—
841	C₂²⋊C₄	—	2	4	no	—
842	C₂²⋊C₄	—	2	8	no	—
843	C₂²⋊C₄	—	2	4	no	—
844	C₂²⋊C₄	—	2	4	no	—
845	C₂²⋊C₄	—	2	8	no	—
846	C₂²⋊C₄	—	2	8	no	—
847	C₂²⋊C₄	—	2	4	no	—
848	C₂²⋊C₄	—	2	4	no	—
849	C₂²⋊C₄	—	2	8	no	—
850	C₂²⋊C₄	—	2	8	no	—
851	C₂²⋊C₄	—	4	2	no	—
852	C₂²⋊C₄	—	4	4	no	—
853	C₂²⋊C₄	—	4	4	no	—
854	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	complemented
855	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	complemented
856	C₄²	—	2	2	no	—
857	C₄²	—	2	2	no	—
858	C₄²	—	2	2	no	—
859	C₄²	—	2	4	no	—
860	C₄²	C₂×D₄×C₁₃₉	1	4	yes	complemented
861	C₂³	—	2	1	no	—
862	C₂³	—	2	2	no	—
863	C₂³	—	2	1	no	—
864	C₂³	—	2	1	no	—
865	C₂³	—	2	2	no	—
866	C₂³	—	2	2	no	—
867	C₂³	—	2	1	no	—
868	C₂³	—	2	2	no	—
869	C₂³	—	2	16	no	—
870	C₂³	—	2	16	no	—
871	C₂³	—	2	2	no	—
872	C₂³	—	2	2	no	—
873	C₂³	—	2	2	no	—
874	C₂³	—	2	2	no	—
875	C₂³	—	2	2	no	—
876	C₂³	—	2	2	no	—
877	C₂³	—	2	2	no	—
878	C₂³	—	2	2	no	—
879	C₂³	—	2	2	no	—
880	C₂³	—	2	2	no	—
881	C₂³	—	2	2	no	—
882	C₂³	—	2	2	no	—
883	C₂³	—	2	4	no	—
884	C₂³	—	2	4	no	—
885	C₂³	—	2	4	no	—
886	C₂³	—	2	4	no	—
887	C₂³	—	2	4	no	—
888	C₂³	—	2	4	no	—
889	C₂³	—	2	4	no	—
890	C₂³	—	4	8	no	—
891	C₂³	—	4	8	no	—
892	C₂³	—	4	8	no	—
893	C₂³	—	4	8	no	—
894	C₂³	—	4	8	no	—
895	C₂³	—	4	16	no	—
896	C₂³	—	4	16	no	—
897	C₂³	—	4	16	no	—
898	C₂³	—	4	16	no	—
899	C₂³	—	8	8	no	—
900	C₂³	—	8	8	no	—
901	C₂³	—	8	8	no	—
902	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
903	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
904	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
905	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
906	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
907	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
908	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
909	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
910	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
911	D₄	—	2	16	no	—
912	D₄	—	2	16	no	—
913	D₄	—	2	8	no	—
914	D₄	—	2	8	no	—
915	D₄	—	4	16	no	—
916	D₄	—	4	16	no	—
917	D₄	—	4	16	no	—
918	D₄	—	4	16	no	—
919	D₄	—	4	16	no	—
920	D₄	—	4	8	no	—
921	D₄	—	4	8	no	—
922	D₄	—	8	4	no	—
923	D₄	—	8	8	no	—
924	D₄	#121×C₁₃₉	1	16	yes	direct product factor
925	C₂×C₄	—	2	1	no	—
926	C₂×C₄	—	2	1	no	—
927	C₂×C₄	—	2	2	no	—
928	C₂×C₄	—	2	2	no	—
929	C₂×C₄	—	2	1	no	—
930	C₂×C₄	—	2	1	no	—
931	C₂×C₄	—	2	1	no	—
932	C₂×C₄	—	2	2	no	—
933	C₂×C₄	—	2	2	no	—
934	C₂×C₄	—	2	1	no	—
935	C₂×C₄	—	2	8	no	—
936	C₂×C₄	—	2	8	no	—
937	C₂×C₄	—	2	16	no	—
938	C₂×C₄	—	2	1	no	—
939	C₂×C₄	—	2	2	no	—
940	C₂×C₄	—	2	2	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	4	no	—
944	C₂×C₄	—	2	2	no	—
945	C₂×C₄	—	2	4	no	—
946	C₂×C₄	—	2	2	no	—
947	C₂×C₄	—	2	1	no	—
948	C₂×C₄	—	2	2	no	—
949	C₂×C₄	—	2	2	no	—
950	C₂×C₄	—	2	4	no	—
951	C₂×C₄	—	2	1	no	—
952	C₂×C₄	—	2	2	no	—
953	C₂×C₄	—	4	8	no	—
954	C₂×C₄	—	4	8	no	—
955	C₂×C₄	—	4	8	no	—
956	C₂×C₄	—	4	16	no	—
957	C₂×C₄	—	4	4	no	—
958	C₂×C₄	—	4	8	no	—
959	C₂×C₄	—	4	8	no	—
960	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
961	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
962	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
963	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
964	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
965	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
966	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
967	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
968	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
969	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
970	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
971	C₂²	—	2	2	no	—
972	C₂²	—	2	2	no	—
973	C₂²	—	2	4	no	—
974	C₂²	—	2	4	no	—
975	C₂²	—	2	4	no	—
976	C₂²	—	2	2	no	—
977	C₂²	—	2	2	no	—
978	C₂²	—	2	4	no	—
979	C₂²	—	2	2	no	—
980	C₂²	—	2	4	no	—
981	C₂²	—	2	2	no	—
982	C₂²	—	2	4	no	—
983	C₂²	—	2	4	no	—
984	C₂²	—	2	4	no	—
985	C₂²	—	2	4	no	—
986	C₂²	—	2	4	no	—
987	C₂²	—	2	4	no	—
988	C₂²	—	2	4	no	—
989	C₂²	—	4	32	no	—
990	C₂²	—	4	2	no	—
991	C₂²	—	4	2	no	—
992	C₂²	—	4	2	no	—
993	C₂²	—	4	2	no	—
994	C₂²	—	4	2	no	—
995	C₂²	—	4	2	no	—
996	C₂²	—	4	2	no	—
997	C₂²	—	4	2	no	—
998	C₂²	—	4	4	no	—
999	C₂²	—	4	4	no	—
1000	C₂²	—	4	4	no	—
1001	C₂²	—	4	4	no	—
1002	C₂²	—	4	4	no	—
1003	C₂²	—	4	4	no	—
1004	C₂²	—	4	4	no	—
1005	C₂²	—	8	32	no	—
1006	C₂²	C₂×#121×C₁₃₉	1	8	yes	complemented
1007	C₂²	D₄²×C₁₃₉	1	4	yes	complemented
1008	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1009	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1010	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1011	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1012	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1013	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1014	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1015	C₄	—	2	2	no	—
1016	C₄	—	2	2	no	—
1017	C₄	—	2	4	no	—
1018	C₄	—	2	4	no	—
1019	C₄	—	2	2	no	—
1020	C₄	—	4	2	no	—
1021	C₄	—	4	2	no	—
1022	C₄	—	4	4	no	—
1023	C₄	—	4	1	no	—
1024	C₄	—	4	2	no	—
1025	C₄	C₂×#121×C₁₃₉	1	4	yes	complemented
1026	C₄	D₄²×C₁₃₉	1	4	yes	complemented
1027	C₂	—	2	4	no	—
1028	C₂	—	2	8	no	—
1029	C₂	—	4	4	no	—
1030	C₂	—	4	4	no	—
1031	C₂	—	8	4	no	—
1032	C₂	C₂²×#121×C₁₃₉	1	1	yes	characteristic
1033	C₂	C₂×D₄²×C₁₃₉	1	1	yes	characteristic
1034	C₂	C₂×D₄²×C₁₃₉	1	1	yes	characteristic
1035	C₂	D₄×#41×C₁₃₉	1	1	yes	characteristic
1036	C₂	#3488×C₁₃₉	1	1	yes	characteristic
1037	C₂	#3496×C₁₃₉	1	1	yes	characteristic
1038	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×D₄²×C₁₃₉	C₂	semidirect
2. C₂×D₄²×C₁₃₉	C₂	semidirect
3. C₂²×#121×C₁₃₉	C₂	semidirect
4. C₂²×C₄×D₄×C₁₃₉	C₂	semidirect
5. #2856×C₁₃₉	C₂	semidirect
6. #2847×C₁₃₉	C₂	semidirect
7. #2541×C₁₃₉	C₂	semidirect
8. #2537×C₁₃₉	C₂	semidirect
9. #2428×C₁₃₉	C₂	semidirect
10. #2424×C₁₃₉	C₂	semidirect
11. #2416×C₁₃₉	C₂	semidirect
12. #2416×C₁₃₉	C₂	semidirect
13. #2410×C₁₃₉	C₂	semidirect
14. #2408×C₁₃₉	C₂	semidirect
15. D₄×C₄⋊C₄×C₁₃₉	C₂	semidirect
16. D₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
17. C₄×#121×C₁₃₉	C₂	semidirect
20. C₂³×D₄×C₁₃₉	C₂²	semidirect
21. C₂³×D₄×C₁₃₉	C₂²	semidirect
22. C₂⁴×C₄×C₁₃₉	C₂²	semidirect
25. C₂×#127×C₁₃₉	C₂²	semidirect
26. C₂×#127×C₁₃₉	C₂²	semidirect
29. C₂×#121×C₁₃₉	C₂²	semidirect
30. C₂×#121×C₁₃₉	C₂²	semidirect
31. C₂×#121×C₁₃₉	C₂²	semidirect
32. C₂×#121×C₁₃₉	C₂²	semidirect
33. C₂×#121×C₁₃₉	C₂²	semidirect
34. C₂×#121×C₁₃₉	C₂²	semidirect
35. C₂×#121×C₁₃₉	C₂²	semidirect
36. C₂×#121×C₁₃₉	C₂²	semidirect
37. C₂×#121×C₁₃₉	C₂²	semidirect
38. C₂×#121×C₁₃₉	C₂²	semidirect
39. C₂×#121×C₁₃₉	C₂²	semidirect
40. C₂×#121×C₁₃₉	C₂²	semidirect
41. C₂×#120×C₁₃₉	C₂²	semidirect
42. C₂×#120×C₁₃₉	C₂²	semidirect
43. C₂×#120×C₁₃₉	C₂²	semidirect
48. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
49. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
50. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
51. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
52. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
53. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
54. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
55. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
56. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
57. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
58. C₂²×C₄²×C₁₃₉	C₂²	semidirect
59. #396×C₁₃₉	C₂²	semidirect
60. #394×C₁₃₉	C₂²	semidirect
61. #394×C₁₃₉	C₂²	semidirect
62. #394×C₁₃₉	C₂²	semidirect
63. #392×C₁₃₉	C₂²	semidirect
64. #392×C₁₃₉	C₂²	semidirect
65. #390×C₁₃₉	C₂²	semidirect
66. #390×C₁₃₉	C₂²	semidirect
67. #390×C₁₃₉	C₂²	semidirect
68. #390×C₁₃₉	C₂²	semidirect
69. #390×C₁₃₉	C₂²	semidirect
70. #389×C₁₃₉	C₂²	semidirect
71. #389×C₁₃₉	C₂²	semidirect
72. #388×C₁₃₉	C₂²	semidirect
73. #386×C₁₃₉	C₂²	semidirect
74. #386×C₁₃₉	C₂²	semidirect
75. #386×C₁₃₉	C₂²	semidirect
76. #386×C₁₃₉	C₂²	semidirect
77. #386×C₁₃₉	C₂²	semidirect
78. #385×C₁₃₉	C₂²	semidirect
79. #384×C₁₃₉	C₂²	semidirect
80. #380×C₁₃₉	C₂²	semidirect
81. #380×C₁₃₉	C₂²	semidirect
82. #380×C₁₃₉	C₂²	semidirect
83. #380×C₁₃₉	C₂²	semidirect
84. #379×C₁₃₉	C₂²	semidirect
85. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
86. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
100. C₂²×D₄×C₁₃₉	D₄	semidirect
142. #121×C₁₃₉	D₄	direct (N × H)
154. C₄×D₄×C₁₃₉	D₄	semidirect
212. C₂⁴×C₁₃₉	C₂×D₄	semidirect
259. C₂×D₄×C₁₃₉	C₂×D₄	semidirect
260. C₂×D₄×C₁₃₉	C₂×D₄	semidirect
261. C₂×D₄×C₁₃₉	C₂×D₄	semidirect
262. C₂×D₄×C₁₃₉	C₂×D₄	semidirect
292. C₂²×C₄×C₁₃₉	C₂×D₄	semidirect
293. C₂²×C₄×C₁₃₉	C₂×D₄	semidirect
294. C₂²×C₄×C₁₃₉	C₂×D₄	semidirect
316. C₄⋊C₄×C₁₃₉	C₂×D₄	semidirect
317. C₄⋊C₄×C₁₃₉	C₂×D₄	semidirect
334. C₂²⋊C₄×C₁₃₉	C₂×D₄	semidirect
335. C₂²⋊C₄×C₁₃₉	C₂×D₄	semidirect
340. C₄²×C₁₃₉	C₂×D₄	semidirect
404. D₄×C₁₃₉	#121	direct (N × H)
486. C₂²×C₁₃₉	C₂×#121	semidirect
487. C₂²×C₁₃₉	D₄²	semidirect
505. C₄×C₁₃₉	C₂×#121	semidirect
506. C₄×C₁₃₉	D₄²	semidirect
519. D₄×#121	C₁₃₉	direct (N × H)
520. C₁₃₉	D₄×#121	direct (N × H)
521. C₂×D₄²	C₂×C₁₃₉	semidirect
522. C₂×D₄²	C₂×C₁₃₉	semidirect
523. C₂²×#121	C₂×C₁₃₉	semidirect
524. C₂²×C₄×D₄	C₂×C₁₃₉	semidirect
525. #2856	C₂×C₁₃₉	semidirect
526. #2847	C₂×C₁₃₉	semidirect
527. #2541	C₂×C₁₃₉	semidirect
528. #2537	C₂×C₁₃₉	semidirect
529. #2428	C₂×C₁₃₉	semidirect
530. #2424	C₂×C₁₃₉	semidirect
531. #2416	C₂×C₁₃₉	semidirect
532. #2416	C₂×C₁₃₉	semidirect
533. #2410	C₂×C₁₃₉	semidirect
534. #2408	C₂×C₁₃₉	semidirect
535. D₄×C₄⋊C₄	C₂×C₁₃₉	semidirect
536. D₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
537. C₄×#121	C₂×C₁₃₉	semidirect
540. C₂³×D₄	C₂²×C₁₃₉	semidirect
541. C₂³×D₄	C₂²×C₁₃₉	semidirect
542. C₂⁴×C₄	C₂²×C₁₃₉	semidirect
545. C₂×#127	C₂²×C₁₃₉	semidirect
546. C₂×#127	C₂²×C₁₃₉	semidirect
549. C₂×#121	C₂²×C₁₃₉	semidirect
550. C₂×#121	C₂²×C₁₃₉	semidirect
551. C₂×#121	C₂²×C₁₃₉	semidirect
552. C₂×#121	C₂²×C₁₃₉	semidirect
553. C₂×#121	C₂²×C₁₃₉	semidirect
554. C₂×#121	C₂²×C₁₃₉	semidirect
555. C₂×#121	C₂²×C₁₃₉	semidirect
556. C₂×#121	C₂²×C₁₃₉	semidirect
557. C₂×#121	C₂²×C₁₃₉	semidirect
558. C₂×#121	C₂²×C₁₃₉	semidirect
559. C₂×#121	C₂²×C₁₃₉	semidirect
560. C₂×#121	C₂²×C₁₃₉	semidirect
561. C₂×#120	C₂²×C₁₃₉	semidirect
562. C₂×#120	C₂²×C₁₃₉	semidirect
563. C₂×#120	C₂²×C₁₃₉	semidirect
568. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
569. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
570. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
571. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
572. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
573. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
574. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
575. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
576. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
577. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
578. C₂²×C₄²	C₂²×C₁₃₉	semidirect
579. #396	C₂²×C₁₃₉	semidirect
580. #394	C₂²×C₁₃₉	semidirect
581. #394	C₂²×C₁₃₉	semidirect
582. #394	C₂²×C₁₃₉	semidirect
583. #392	C₂²×C₁₃₉	semidirect
584. #392	C₂²×C₁₃₉	semidirect
585. #390	C₂²×C₁₃₉	semidirect
586. #390	C₂²×C₁₃₉	semidirect
587. #390	C₂²×C₁₃₉	semidirect
588. #390	C₂²×C₁₃₉	semidirect
589. #390	C₂²×C₁₃₉	semidirect
590. #389	C₂²×C₁₃₉	semidirect
591. #389	C₂²×C₁₃₉	semidirect
592. #388	C₂²×C₁₃₉	semidirect
593. #386	C₂²×C₁₃₉	semidirect
594. #386	C₂²×C₁₃₉	semidirect
595. #386	C₂²×C₁₃₉	semidirect
596. #386	C₂²×C₁₃₉	semidirect
597. #386	C₂²×C₁₃₉	semidirect
598. #385	C₂²×C₁₃₉	semidirect
599. #384	C₂²×C₁₃₉	semidirect
600. #380	C₂²×C₁₃₉	semidirect
601. #380	C₂²×C₁₃₉	semidirect
602. #380	C₂²×C₁₃₉	semidirect
603. #380	C₂²×C₁₃₉	semidirect
604. #379	C₂²×C₁₃₉	semidirect
605. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
606. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
620. C₂²×D₄	D₄×C₁₃₉	semidirect
662. #121	D₄×C₁₃₉	direct (N × H)
674. C₄×D₄	D₄×C₁₃₉	semidirect
732. C₂⁴	C₂×D₄×C₁₃₉	semidirect
779. C₂×D₄	C₂×D₄×C₁₃₉	semidirect
780. C₂×D₄	C₂×D₄×C₁₃₉	semidirect
781. C₂×D₄	C₂×D₄×C₁₃₉	semidirect
782. C₂×D₄	C₂×D₄×C₁₃₉	semidirect
812. C₂²×C₄	C₂×D₄×C₁₃₉	semidirect
813. C₂²×C₄	C₂×D₄×C₁₃₉	semidirect
814. C₂²×C₄	C₂×D₄×C₁₃₉	semidirect
836. C₄⋊C₄	C₂×D₄×C₁₃₉	semidirect
837. C₄⋊C₄	C₂×D₄×C₁₃₉	semidirect
854. C₂²⋊C₄	C₂×D₄×C₁₃₉	semidirect
855. C₂²⋊C₄	C₂×D₄×C₁₃₉	semidirect
860. C₄²	C₂×D₄×C₁₃₉	semidirect
924. D₄	#121×C₁₃₉	direct (N × H)
1006. C₂²	C₂×#121×C₁₃₉	semidirect
1007. C₂²	D₄²×C₁₃₉	semidirect
1025. C₄	C₂×#121×C₁₃₉	semidirect
1026. C₄	D₄²×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₄²×C₁₃₉	2
C₂²×#121×C₁₃₉	2
C₂²×C₄×D₄×C₁₃₉	2
#2856×C₁₃₉	2
#2847×C₁₃₉	2
#2541×C₁₃₉	2
#2537×C₁₃₉	2
#2428×C₁₃₉	2
#2424×C₁₃₉	2
#2416×C₁₃₉	2
#2410×C₁₃₉	2
#2408×C₁₃₉	2
D₄×C₄⋊C₄×C₁₃₉	2
D₄×C₂²⋊C₄×C₁₃₉	2
C₄×#121×C₁₃₉	2
D₄×#121	139

Subgroups — D4×#121×C139 #48030689

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄×#121×C₁₃₉ #48030689