Subgroups — C₂×#23777005 #35195350

Order 20224.

8722 conjugacy classes of subgroups.

The subgroup lattice has 1380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777005	C₂	1	32	yes	maximal, direct product factor
2	C₂×#19099295	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#19099272	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#19099271	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#19099260	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#19099259	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#19099256	C₂	1	2	yes	maximal, complemented
8	C₂×#19099239	C₂	1	2	yes	maximal, complemented
9	C₂×#19099236	C₂	1	2	yes	maximal, complemented
10	C₂×#19099201	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#19099200	C₂	1	2	yes	maximal, complemented
12	C₂×D₄×C₂²⋊D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#19099108	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#19099099	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#19099092	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#19099090	C₂	1	2	yes	maximal, complemented
17	C₂×#19099073	C₂	1	2	yes	maximal, complemented
18	C₂×#19099069	C₂	1	2	yes	maximal, complemented
19	C₂×#41×Dic₇₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₄×#11929623	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×D₄×Dic₇₉	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×(C₂²⋊D₇₉)⋊C₄	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×D₄×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#546×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11929623	C₂²	1	1	yes	characteristic
26	C₂²×#11929623	C₂²	1	2	yes	complemented
27	C₂³×C₂²⋊D₇₉	C₂²	1	2	yes	—
28	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
29	C₂⁴×Dic₇₉	C₂²	1	2	yes	complemented
30	C₂³×C₄×D₇₉	C₂²	1	2	yes	complemented
31	#19099295	C₂²	1	16	yes	complemented
32	#19099272	C₂²	1	16	yes	complemented
33	#19099271	C₂²	1	16	yes	complemented
34	#19099260	C₂²	1	16	yes	complemented
35	#19099259	C₂²	1	16	yes	complemented
36	#19099256	C₂²	1	32	yes	complemented
37	#19099239	C₂²	1	32	yes	complemented
38	#19099236	C₂²	1	32	yes	complemented
39	#19099201	C₂²	1	16	yes	complemented
40	#19099200	C₂²	1	32	yes	complemented
41	D₄×C₂²⋊D₇₉	C₂²	1	16	yes	complemented
42	#19099108	C₂²	1	16	yes	complemented
43	C₂×#14579160	C₂²	1	1	yes	characteristic, complemented
44	C₂×#14579157	C₂²	1	1	yes	characteristic
45	#19099099	C₂²	1	16	yes	complemented
46	#19099092	C₂²	1	16	yes	complemented
47	#19099090	C₂²	1	32	yes	complemented
48	C₂×#14579156	C₂²	1	2	yes	complemented
49	C₂×#14579156	C₂²	1	2	yes	complemented
50	C₂×#14579154	C₂²	1	2	yes	complemented
51	C₂×#14579154	C₂²	1	2	yes	complemented
52	C₂×#14579153	C₂²	1	1	yes	characteristic, complemented
53	C₂×#14579152	C₂²	1	1	yes	characteristic, complemented
54	C₂×#14579151	C₂²	1	2	yes	complemented
55	C₂×#14579150	C₂²	1	1	yes	characteristic, complemented
56	C₂×#14579147	C₂²	1	2	yes	complemented
57	C₂×#14579147	C₂²	1	2	yes	complemented
58	#19099073	C₂²	1	32	yes	complemented
59	#19099069	C₂²	1	32	yes	complemented
60	C₂×#14579145	C₂²	1	2	yes	complemented
61	C₂×#14579145	C₂²	1	2	yes	complemented
62	C₂×#14579144	C₂²	1	2	yes	complemented
63	C₂×#14579143	C₂²	1	2	yes	complemented
64	C₂×#14579143	C₂²	1	2	yes	complemented
65	C₂×#14579143	C₂²	1	2	yes	complemented
66	C₂×#14579142	C₂²	1	2	yes	complemented
67	C₂×#14579141	C₂²	1	2	yes	complemented
68	C₂×#14579140	C₂²	1	2	yes	complemented
69	C₂×#14579138	C₂²	1	2	yes	complemented
70	C₂×#14579138	C₂²	1	2	yes	complemented
71	C₂×#14579138	C₂²	1	2	yes	complemented
72	C₂×#14579137	C₂²	1	1	yes	characteristic, complemented
73	C₂×#14579135	C₂²	1	1	yes	characteristic
74	C₂×#14579135	C₂²	1	1	yes	characteristic, complemented
75	C₂×#14579133	C₂²	1	2	yes	—
76	C₂×#14579133	C₂²	1	2	yes	complemented
77	C₂×#14579133	C₂²	1	2	yes	complemented
78	C₂×#14579133	C₂²	1	2	yes	complemented
79	C₂×#14579132	C₂²	1	1	yes	characteristic
80	C₂×#14579132	C₂²	1	2	yes	complemented
81	C₂×#14579130	C₂²	1	2	yes	—
82	C₂×#14579129	C₂²	1	2	yes	—
83	C₂×#14579129	C₂²	1	2	yes	complemented
84	#41×Dic₇₉	C₂²	1	16	yes	complemented
85	C₄×#11929623	C₂²	1	16	yes	complemented
86	C₂×Q₈×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
87	C₂×Q₈×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
88	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
89	C₂×#14579126	C₂²	1	1	yes	characteristic, complemented
90	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
91	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic
92	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic
93	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic
94	C₂×D₄×Dic₇₉	C₂²	1	2	yes	complemented
95	C₂×D₄×Dic₇₉	C₂²	1	2	yes	complemented
96	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
97	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
98	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
99	C₂×D₄×Dic₇₉	C₂²	1	2	yes	complemented
100	C₂×D₄×Dic₇₉	C₂²	1	2	yes	complemented
101	C₂×D₄×Dic₇₉	C₂²	1	16	yes	complemented
102	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
103	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic
104	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
105	C₂×C₄×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
106	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	1	yes	characteristic
107	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	—
108	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
109	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
110	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
111	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
112	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
113	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
114	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
115	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
116	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	32	yes	complemented
117	C₄×D₄×D₇₉	C₂²	1	16	yes	complemented
118	C₂×#14579120	C₂²	1	2	yes	complemented
119	C₂×#14579120	C₂²	1	1	yes	characteristic, complemented
120	C₂×#14579119	C₂²	1	1	yes	characteristic, complemented
121	C₂×#14579119	C₂²	1	2	yes	complemented
122	C₂×#14579117	C₂²	1	1	yes	characteristic, complemented
123	C₂×#14579117	C₂²	1	1	yes	characteristic, complemented
124	C₂×#14579117	C₂²	1	2	yes	complemented
125	C₂²×C₄⋊Dic₇₉	C₂²	1	1	yes	characteristic, complemented
126	C₂²×Dic₇₉⋊C₄	C₂²	1	2	yes	complemented
127	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
128	C₂²×C₂²⋊Dic₇₉	C₂²	1	2	yes	complemented
129	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	complemented
130	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	complemented
131	C₂²×C₄×Dic₇₉	C₂²	1	2	yes	complemented
132	C₂²×C₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
133	C₂²×C₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic, complemented
135	C₂²×#41×C₇₉	C₂²	1	1	yes	characteristic
136	C₂³×D₄×C₇₉	C₂²	1	1	yes	characteristic
137	#546×C₇₉	C₂²	1	16	yes	complemented
138	C₂×#124×C₇₉	C₂²	1	1	yes	characteristic, complemented
139	C₂×#123×C₇₉	C₂²	1	2	yes	complemented
140	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
141	C₂×#121×C₇₉	C₂²	1	2	yes	complemented
142	C₂×#121×C₇₉	C₂²	1	1	yes	characteristic, complemented
143	C₂×#120×C₇₉	C₂²	1	2	yes	complemented
144	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
145	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
146	C₂²×C₂²⋊C₄×C₇₉	C₂²	1	2	yes	complemented
147	C₂⁴×D₇₉	C₂³	1	2	yes	—
148	C₂×#11929623	—	2	8	no	—
149	C₂×#11929623	—	4	8	no	—
150	C₂×#11929623	C₂³	1	8	yes	—
151	C₂×#11929623	C₂³	1	16	yes	complemented
152	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
153	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
154	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
155	C₂²×C₂²⋊D₇₉	—	2	16	no	—
156	C₂²×C₂²⋊D₇₉	C₂³	1	16	yes	—
157	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
161	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
163	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
164	C₂²×C₂²⋊D₇₉	C₂³	1	1	yes	characteristic
165	C₂×D₄×D₇₉	—	2	8	no	—
166	C₂×D₄×D₇₉	C₂³	1	8	yes	—
167	C₂³×Dic₇₉	—	4	8	no	—
168	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
169	C₂³×Dic₇₉	C₂³	1	2	yes	—
170	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
171	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
172	C₂³×Dic₇₉	C₂³	1	2	yes	—
173	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
174	C₂³×Dic₇₉	C₂³	1	2	yes	—
175	C₂³×Dic₇₉	C₂³	1	2	yes	—
176	C₂³×Dic₇₉	C₂³	1	2	yes	—
177	C₂³×Dic₇₉	C₂³	1	2	yes	—
178	C₂³×Dic₇₉	C₂³	1	16	yes	complemented
179	C₂²×C₄×D₇₉	—	4	8	no	—
180	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
181	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
182	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
183	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
184	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
185	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
186	C₂²×C₄×D₇₉	C₂³	1	16	yes	complemented
187	#14579160	C₂³	1	8	yes	complemented
188	#14579157	C₂³	1	8	yes	—
189	#14579156	C₂³	1	16	yes	complemented
190	#14579156	C₂³	1	16	yes	complemented
191	#14579154	C₂³	1	16	yes	complemented
192	#14579154	C₂³	1	16	yes	complemented
193	#14579153	C₂³	1	8	yes	complemented
194	#14579152	C₂³	1	8	yes	complemented
195	#14579151	C₂³	1	16	yes	complemented
196	#14579150	C₂³	1	8	yes	complemented
197	#14579147	C₂³	1	16	yes	complemented
198	#14579147	C₂³	1	16	yes	complemented
199	#14579145	C₂³	1	16	yes	complemented
200	#14579145	C₂³	1	16	yes	complemented
201	#14579144	C₂³	1	16	yes	complemented
202	#14579143	C₂³	1	16	yes	complemented
203	#14579143	C₂³	1	16	yes	complemented
204	#14579143	C₂³	1	16	yes	complemented
205	#14579142	C₂³	1	16	yes	complemented
206	#14579141	C₂³	1	16	yes	complemented
207	#14579140	C₂³	1	16	yes	complemented
208	#14579138	C₂³	1	16	yes	complemented
209	#14579138	C₂³	1	16	yes	complemented
210	#14579138	C₂³	1	16	yes	complemented
211	#14579137	C₂³	1	8	yes	complemented
212	#14579135	C₂³	1	8	yes	—
213	#14579135	C₂³	1	8	yes	complemented
214	#14579133	C₂³	1	16	yes	—
215	#14579133	C₂³	1	16	yes	complemented
216	#14579133	C₂³	1	16	yes	complemented
217	#14579133	C₂³	1	16	yes	complemented
218	#14579132	C₂³	1	8	yes	—
219	#14579132	C₂³	1	16	yes	complemented
220	#14579130	C₂³	1	16	yes	—
221	#14579129	C₂³	1	16	yes	—
222	#14579129	C₂³	1	16	yes	complemented
223	Q₈×Dic₇₉	C₂³	1	8	yes	complemented
224	Q₈×Dic₇₉	C₂³	1	8	yes	complemented
225	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
226	#14579126	C₂³	1	8	yes	complemented
227	C₄×D₃₁₆	C₂³	1	8	yes	complemented
228	D₄×Dic₇₉	C₂³	1	8	yes	—
229	D₄×Dic₇₉	C₂³	1	8	yes	—
230	D₄×Dic₇₉	C₂³	1	8	yes	—
231	D₄×Dic₇₉	C₂³	1	16	yes	complemented
232	D₄×Dic₇₉	C₂³	1	16	yes	complemented
233	D₄×Dic₇₉	C₂³	1	8	yes	complemented
234	D₄×Dic₇₉	C₂³	1	16	yes	complemented
235	D₄×Dic₇₉	C₂³	1	8	yes	complemented
236	D₄×Dic₇₉	C₂³	1	8	yes	complemented
237	D₄×Dic₇₉	C₂³	1	16	yes	complemented
238	#14579123	C₂³	1	8	yes	complemented
239	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
240	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
241	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
242	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	—
243	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
244	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
245	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
246	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
247	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
248	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
249	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
250	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
251	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
252	#14579120	C₂³	1	16	yes	complemented
253	#14579120	C₂³	1	8	yes	complemented
254	#14579119	C₂³	1	8	yes	complemented
255	#14579119	C₂³	1	16	yes	complemented
256	#14579117	C₂³	1	8	yes	complemented
257	#14579117	C₂³	1	8	yes	complemented
258	#14579117	C₂³	1	16	yes	complemented
259	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
262	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
264	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
266	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
267	C₂×C₄⋊Dic₇₉	C₂³	1	8	yes	complemented
268	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
269	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
271	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
272	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
273	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
277	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
278	C₂×Dic₇₉⋊C₄	C₂³	1	16	yes	complemented
279	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
280	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
281	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
282	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
283	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
284	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
287	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
288	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
289	C₂×C₂²⋊Dic₇₉	C₂³	1	16	yes	complemented
290	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
291	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
292	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
294	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
295	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
296	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
298	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
299	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	16	yes	complemented
300	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
301	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
307	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
310	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
311	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₇₉	C₂³	1	16	yes	complemented
314	C₂×C₄×Dic₇₉	C₂³	1	8	yes	complemented
315	C₂×C₄×Dic₇₉	C₂³	1	8	yes	complemented
316	C₄²×D₇₉	C₂³	1	8	yes	complemented
317	C₂⁵×C₇₉	C₂³	1	2	yes	—
318	C₂×#41×C₇₉	—	2	8	no	—
319	C₂×#41×C₇₉	C₂³	1	8	yes	—
320	C₂²×Q₈×C₇₉	C₂³	1	1	yes	characteristic
321	C₂²×D₄×C₇₉	—	2	8	no	—
322	C₂²×D₄×C₇₉	C₂³	1	8	yes	—
323	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
324	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
325	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
326	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
327	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
328	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
329	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
330	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
331	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
332	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
333	#124×C₇₉	C₂³	1	8	yes	complemented
334	#123×C₇₉	C₂³	1	16	yes	complemented
335	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
336	#121×C₇₉	C₂³	1	16	yes	complemented
337	#121×C₇₉	C₂³	1	8	yes	complemented
338	#120×C₇₉	C₂³	1	16	yes	complemented
339	C₄×D₄×C₇₉	C₂³	1	8	yes	—
340	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
341	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
346	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
347	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
348	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
349	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
351	C₂×C₂²⋊C₄×C₇₉	C₂³	1	16	yes	complemented
352	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
353	C₂³×D₇₉	—	2	8	no	—
354	C₂³×D₇₉	—	2	8	no	—
355	C₂³×D₇₉	—	4	4	no	—
356	C₂³×D₇₉	C₂⁴	1	2	yes	—
357	C₂³×D₇₉	C₂⁴	1	8	yes	—
358	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
359	#11929623	—	2	32	no	—
360	#11929623	—	4	32	no	—
361	C₂×Dic₁₅₈	—	2	4	no	—
362	C₂×Dic₁₅₈	—	4	4	no	—
363	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
364	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
365	C₂×D₃₁₆	—	2	4	no	—
366	C₂×D₃₁₆	C₂⁴	1	4	yes	—
367	C₂×C₂²⋊D₇₉	—	2	8	no	—
368	C₂×C₂²⋊D₇₉	—	2	8	no	—
369	C₂×C₂²⋊D₇₉	—	2	8	no	—
370	C₂×C₂²⋊D₇₉	—	2	4	no	—
371	C₂×C₂²⋊D₇₉	—	2	8	no	—
372	C₂×C₂²⋊D₇₉	—	2	64	no	—
373	C₂×C₂²⋊D₇₉	—	4	4	no	—
374	C₂×C₂²⋊D₇₉	—	4	4	no	—
375	C₂×C₂²⋊D₇₉	#41	1	8	yes	complemented
376	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
377	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
378	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
379	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
380	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
381	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
382	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
383	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
384	D₄×D₇₉	—	2	32	no	—
385	C₂²×Dic₇₉	—	2	4	no	—
386	C₂²×Dic₇₉	—	2	8	no	—
387	C₂²×Dic₇₉	—	2	4	no	—
388	C₂²×Dic₇₉	—	2	8	no	—
389	C₂²×Dic₇₉	—	2	8	no	—
390	C₂²×Dic₇₉	—	2	4	no	—
391	C₂²×Dic₇₉	—	2	4	no	—
392	C₂²×Dic₇₉	—	4	4	no	—
393	C₂²×Dic₇₉	—	4	4	no	—
394	C₂²×Dic₇₉	—	4	4	no	—
395	C₂²×Dic₇₉	—	4	32	no	—
396	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
399	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
400	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
401	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
402	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
403	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
406	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
407	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
409	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
410	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
411	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
412	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
413	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
414	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
416	C₂×C₄×D₇₉	—	2	8	no	—
417	C₂×C₄×D₇₉	—	2	4	no	—
418	C₂×C₄×D₇₉	—	2	4	no	—
419	C₂×C₄×D₇₉	—	2	4	no	—
420	C₂×C₄×D₇₉	—	4	4	no	—
421	C₂×C₄×D₇₉	—	4	4	no	—
422	C₂×C₄×D₇₉	—	4	32	no	—
423	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
424	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
425	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
426	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
427	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
428	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
429	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
430	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
431	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
432	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
433	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
434	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
435	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
436	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
437	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
438	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
439	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
440	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
441	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
442	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
443	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
444	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
445	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
446	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
447	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
448	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
449	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
450	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
451	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
452	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
453	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
454	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
455	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
456	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
457	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
458	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
459	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
460	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
461	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
462	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
463	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
464	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
465	C₄×Dic₇₉	C₂⁴	1	4	yes	—
466	C₄×Dic₇₉	C₂⁴	1	4	yes	—
467	C₄×Dic₇₉	C₂⁴	1	4	yes	—
468	C₄×Dic₇₉	C₂⁴	1	4	yes	—
469	C₄×Dic₇₉	C₂⁴	1	4	yes	—
470	C₄×Dic₇₉	C₂⁴	1	8	yes	—
471	C₄×Dic₇₉	C₂⁴	1	4	yes	—
472	C₄×Dic₇₉	C₂⁴	1	4	yes	—
473	C₄×Dic₇₉	C₂⁴	1	8	yes	—
474	C₄×Dic₇₉	C₂⁴	1	8	yes	—
475	C₄×Dic₇₉	C₂⁴	1	4	yes	—
476	C₄×Dic₇₉	C₂⁴	1	4	yes	—
477	C₂⁴×C₇₉	—	2	8	no	—
478	C₂⁴×C₇₉	—	2	8	no	—
479	C₂⁴×C₇₉	—	4	4	no	—
480	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
481	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
482	C₂⁴×C₇₉	C₂⁴	1	8	yes	—
483	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
484	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
485	#41×C₇₉	—	2	32	no	—
486	C₂×Q₈×C₇₉	—	2	4	no	—
487	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
488	C₂×D₄×C₇₉	—	2	4	no	—
489	C₂×D₄×C₇₉	—	2	8	no	—
490	C₂×D₄×C₇₉	—	2	8	no	—
491	C₂×D₄×C₇₉	—	2	32	no	—
492	C₂×D₄×C₇₉	—	2	4	no	—
493	C₂×D₄×C₇₉	—	4	4	no	—
494	C₂×D₄×C₇₉	#41	1	8	yes	complemented
495	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
496	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
497	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
498	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
499	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
500	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
501	C₂²×C₄×C₇₉	—	2	8	no	—
502	C₂²×C₄×C₇₉	—	2	4	no	—
503	C₂²×C₄×C₇₉	—	2	4	no	—
504	C₂²×C₄×C₇₉	—	4	4	no	—
505	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
507	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
510	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
512	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
513	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
514	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
515	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
516	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
517	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
518	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
519	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
520	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
521	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
522	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
523	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
524	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
525	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
526	C₄²×C₇₉	C₂⁴	1	4	yes	—
527	C₂³×C₇₉	—	2	4	no	—
528	C₂³×C₇₉	—	2	2	no	—
529	C₂³×C₇₉	—	2	2	no	—
530	C₂³×C₇₉	—	2	4	no	—
531	C₂³×C₇₉	—	2	2	no	—
532	C₂³×C₇₉	—	2	16	no	—
533	C₂³×C₇₉	—	2	4	no	—
534	C₂³×C₇₉	—	2	2	no	—
535	C₂³×C₇₉	—	2	16	no	—
536	C₂³×C₇₉	—	2	4	no	—
537	C₂³×C₇₉	—	2	4	no	—
538	C₂³×C₇₉	—	2	2	no	—
539	C₂³×C₇₉	—	4	8	no	—
540	C₂³×C₇₉	—	4	32	no	—
541	C₂³×C₇₉	C₂×#41	1	4	yes	—
542	C₂³×C₇₉	C₂×#41	1	8	yes	—
543	C₂³×C₇₉	C₂⁵	1	4	yes	—
544	C₂³×C₇₉	C₂⁵	1	2	yes	—
545	C₂³×C₇₉	C₂⁵	1	4	yes	—
546	C₂³×C₇₉	C₂⁵	1	2	yes	—
547	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
548	C₂²×D₇₉	—	2	2	no	—
549	C₂²×D₇₉	—	2	2	no	—
550	C₂²×D₇₉	—	2	16	no	—
551	C₂²×D₇₉	—	2	4	no	—
552	C₂²×D₇₉	—	2	4	no	—
553	C₂²×D₇₉	—	2	4	no	—
554	C₂²×D₇₉	—	2	16	no	—
555	C₂²×D₇₉	—	4	8	no	—
556	C₂²×D₇₉	—	4	32	no	—
557	C₂²×D₇₉	C₂×#41	1	4	yes	—
558	C₂²×D₇₉	C₂⁵	1	4	yes	—
559	C₂²×D₇₉	C₂⁵	1	2	yes	—
560	Q₈×C₇₉	—	2	8	no	—
561	D₄×C₇₉	—	2	8	no	—
562	D₄×C₇₉	—	2	16	no	—
563	D₄×C₇₉	—	2	16	no	—
564	D₄×C₇₉	—	2	8	no	—
565	D₄×C₇₉	—	4	8	no	—
566	D₄×C₇₉	C₂×#41	1	16	yes	complemented
567	C₂×C₄×C₇₉	—	2	2	no	—
568	C₂×C₄×C₇₉	—	2	2	no	—
569	C₂×C₄×C₇₉	—	2	2	no	—
570	C₂×C₄×C₇₉	—	2	4	no	—
571	C₂×C₄×C₇₉	—	2	16	no	—
572	C₂×C₄×C₇₉	—	2	2	no	—
573	C₂×C₄×C₇₉	—	2	4	no	—
574	C₂×C₄×C₇₉	—	2	8	no	—
575	C₂×C₄×C₇₉	—	2	8	no	—
576	C₂×C₄×C₇₉	—	4	8	no	—
577	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
578	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
579	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
580	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
581	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
582	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
583	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
584	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
585	C₂²⋊D₇₉	—	2	16	no	—
586	C₂²⋊D₇₉	—	2	16	no	—
587	C₂²⋊D₇₉	—	2	16	no	—
588	C₂²⋊D₇₉	—	2	8	no	—
589	C₂²⋊D₇₉	—	2	16	no	—
590	C₂²⋊D₇₉	—	4	8	no	—
591	C₂²⋊D₇₉	—	4	8	no	—
592	C₂²⋊D₇₉	C₂×#41	1	16	yes	complemented
593	C₂×Dic₇₉	—	2	2	no	—
594	C₂×Dic₇₉	—	2	2	no	—
595	C₂×Dic₇₉	—	2	4	no	—
596	C₂×Dic₇₉	—	2	2	no	—
597	C₂×Dic₇₉	—	2	8	no	—
598	C₂×Dic₇₉	—	2	4	no	—
599	C₂×Dic₇₉	—	2	2	no	—
600	C₂×Dic₇₉	—	2	4	no	—
601	C₂×Dic₇₉	—	2	2	no	—
602	C₂×Dic₇₉	—	2	16	no	—
603	C₂×Dic₇₉	—	2	8	no	—
604	C₂×Dic₇₉	—	2	16	no	—
605	C₂×Dic₇₉	—	2	8	no	—
606	C₂×Dic₇₉	—	2	16	no	—
607	C₂×Dic₇₉	—	2	8	no	—
608	C₂×Dic₇₉	—	4	8	no	—
609	C₂×Dic₇₉	—	4	8	no	—
610	C₂×Dic₇₉	—	4	8	no	—
611	C₂×Dic₇₉	C₂×#41	1	4	yes	—
612	C₂×Dic₇₉	H(5,𝔽₂)	1	4	yes	—
613	C₂×Dic₇₉	C₂⁵	1	2	yes	—
614	C₂×Dic₇₉	C₂⁵	1	2	yes	—
615	C₂×Dic₇₉	C₂⁵	1	2	yes	—
616	C₂×Dic₇₉	C₂⁵	1	4	yes	—
617	C₂×Dic₇₉	C₂⁵	1	4	yes	—
618	C₂×Dic₇₉	C₂⁵	1	2	yes	—
619	C₂×Dic₇₉	C₂⁵	1	2	yes	—
620	C₂×Dic₇₉	C₂⁵	1	4	yes	—
621	C₂×Dic₇₉	C₂⁵	1	2	yes	—
622	C₂×Dic₇₉	C₂⁵	1	2	yes	—
623	D₃₁₆	—	2	8	no	—
624	C₄×D₇₉	—	2	8	no	—
625	C₄×D₇₉	—	2	8	no	—
626	C₄×D₇₉	—	2	8	no	—
627	C₄×D₇₉	—	2	16	no	—
628	C₄×D₇₉	—	4	8	no	—
629	C₄×D₇₉	—	4	8	no	—
630	Dic₁₅₈	—	2	8	no	—
631	Dic₁₅₈	—	4	8	no	—
632	C₂²×C₇₉	—	2	2	no	—
633	C₂²×C₇₉	—	2	4	no	—
634	C₂²×C₇₉	—	2	4	no	—
635	C₂²×C₇₉	—	2	2	no	—
636	C₂²×C₇₉	—	2	16	no	—
637	C₂²×C₇₉	—	2	8	no	—
638	C₂²×C₇₉	—	2	4	no	—
639	C₂²×C₇₉	—	2	2	no	—
640	C₂²×C₇₉	—	2	2	no	—
641	C₂²×C₇₉	—	2	4	no	—
642	C₂²×C₇₉	—	2	2	no	—
643	C₂²×C₇₉	—	2	4	no	—
644	C₂²×C₇₉	—	4	32	no	—
645	C₂²×C₇₉	—	4	4	no	—
646	C₂²×C₇₉	—	4	8	no	—
647	C₂²×C₇₉	C₂²×#41	1	4	yes	—
648	C₂²×C₇₉	C₂²×#41	1	2	yes	—
649	C₂²×C₇₉	C₂²×#41	1	8	yes	—
650	C₂²×C₇₉	C₂²×#41	1	2	yes	—
651	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
652	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
653	C₂×D₇₉	—	2	2	no	—
654	C₂×D₇₉	—	2	2	no	—
655	C₂×D₇₉	—	2	8	no	—
656	C₂×D₇₉	—	2	4	no	—
657	C₂×D₇₉	—	2	4	no	—
658	C₂×D₇₉	—	2	4	no	—
659	C₂×D₇₉	—	4	32	no	—
660	C₂×D₇₉	—	4	8	no	—
661	C₂×D₇₉	C₂²×#41	1	4	yes	—
662	C₄×C₇₉	—	2	2	no	—
663	C₄×C₇₉	—	2	2	no	—
664	C₄×C₇₉	—	2	4	no	—
665	C₄×C₇₉	—	2	2	no	—
666	C₄×C₇₉	—	2	2	no	—
667	C₄×C₇₉	—	2	4	no	—
668	C₄×C₇₉	C₂²×#41	1	4	yes	—
669	Dic₇₉	—	2	2	no	—
670	Dic₇₉	—	2	4	no	—
671	Dic₇₉	—	2	2	no	—
672	Dic₇₉	—	2	2	no	—
673	Dic₇₉	—	2	2	no	—
674	Dic₇₉	—	2	4	no	—
675	Dic₇₉	—	2	4	no	—
676	Dic₇₉	—	2	2	no	—
677	Dic₇₉	C₂²×#41	1	4	yes	—
678	Dic₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
679	C₂×#3481	—	79	1	no	maximal, Sylow
680	C₂×C₇₉	—	2	8	no	—
681	C₂×C₇₉	—	2	4	no	—
682	C₂×C₇₉	—	4	2	no	—
683	C₂×C₇₉	—	4	4	no	—
684	C₂×C₇₉	#3481	1	4	yes	complemented
685	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
686	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
687	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
688	D₇₉	—	2	4	no	—
689	D₇₉	—	4	4	no	—
690	#3481	—	79	32	no	—
691	C₂×#559	—	79	1	no	—
692	C₂×#554	—	79	1	no	—
693	C₂×#554	—	79	1	no	—
694	C₂×#553	—	79	2	no	—
695	C₂×#553	—	79	1	no	—
696	C₂×#553	—	79	1	no	—
697	C₂×#551	—	79	2	no	—
698	C₂×#551	—	79	2	no	—
699	C₂×#546	—	79	1	no	—
700	C₂×#546	—	79	2	no	—
701	C₂×#546	D₇₉	1	1	yes	characteristic, complemented
702	C₂×D₄²	—	79	1	no	—
703	C₂×#532	—	79	1	no	—
704	C₂×#529	—	79	1	no	—
705	C₂×#529	—	79	2	no	—
706	C₂×#529	—	79	1	no	—
707	C₂×#525	—	79	2	no	—
708	C₂×#525	—	79	2	no	—
709	C₂×C₄×#41	—	79	1	no	—
710	C₂×C₄×#41	—	79	1	no	—
711	C₂²×C₄×D₄	—	79	1	no	—
712	C₂²×C₄×D₄	—	79	1	no	—
713	C₂²×C₄×D₄	—	79	2	no	—
714	C₇₉	C₂×#3481	1	1	yes	characteristic, complemented, Sylow
715	C₂²×#41	—	79	2	no	—
716	C₂²×#41	—	79	1	no	—
717	C₂²×#41	C₂×D₇₉	1	1	yes	characteristic
718	C₂³×D₄	—	79	2	no	—
719	C₂³×D₄	—	79	1	no	—
720	C₂³×D₄	C₂×D₇₉	1	1	yes	characteristic
721	C₂⁴×C₄	—	79	2	no	—
722	C₂⁴×C₄	—	79	2	no	—
723	#559	—	79	16	no	—
724	#554	—	79	16	no	—
725	#554	—	79	16	no	—
726	#553	—	79	32	no	—
727	#553	—	79	16	no	—
728	#553	—	79	16	no	—
729	#551	—	79	32	no	—
730	#551	—	79	32	no	—
731	#546	—	79	16	no	—
732	#546	—	79	32	no	—
733	#546	C₂×D₇₉	1	16	yes	complemented
734	D₄²	—	79	16	no	—
735	#532	—	79	16	no	—
736	C₂×C₄⋊Q₈	—	79	1	no	—
737	C₂×#127	—	79	1	no	—
738	#529	—	79	16	no	—
739	#529	—	79	32	no	—
740	#529	—	79	16	no	—
741	C₂×#126	—	79	2	no	—
742	C₂×#126	—	79	2	no	—
743	C₂×#126	—	79	2	no	—
744	C₂×#126	—	79	2	no	—
745	C₂×#125	—	79	2	no	—
746	C₂×#125	—	79	1	no	—
747	C₂×#125	—	79	1	no	—
748	C₂×#124	—	79	1	no	—
749	C₂×#124	—	79	2	no	—
750	C₂×#124	—	79	2	no	—
751	C₂×#124	C₂×D₇₉	1	1	yes	characteristic, complemented
752	#525	—	79	32	no	—
753	#525	—	79	32	no	—
754	C₂×#123	—	79	2	no	—
755	C₂×#123	—	79	2	no	—
756	C₂×#123	—	79	2	no	—
757	C₂×#123	—	79	2	no	—
758	C₂×#123	—	79	2	no	—
759	C₂×#123	—	79	2	no	—
760	C₂×#123	—	79	2	no	—
761	C₂×#123	C₂×D₇₉	1	2	yes	complemented
762	C₂×C₂²⋊Q₈	—	79	1	no	—
763	C₂×C₂²⋊Q₈	—	79	2	no	—
764	C₂×C₂²⋊Q₈	—	79	2	no	—
765	C₂×C₂²⋊Q₈	—	79	2	no	—
766	C₂×C₂²⋊Q₈	—	79	2	no	—
767	C₂×C₂²⋊Q₈	—	79	2	no	—
768	C₂×C₂²⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
769	C₂×#121	—	79	2	no	—
770	C₂×#121	—	79	2	no	—
771	C₂×#121	—	79	2	no	—
772	C₂×#121	—	79	1	no	—
773	C₂×#121	—	79	2	no	—
774	C₂×#121	—	79	2	no	—
775	C₂×#121	—	79	1	no	—
776	C₂×#121	—	79	1	no	—
777	C₂×#121	C₂×D₇₉	1	2	yes	complemented
778	C₂×#121	C₂×D₇₉	1	1	yes	characteristic, complemented
779	C₂×#120	—	79	2	no	—
780	C₂×#120	—	79	2	no	—
781	C₂×#120	—	79	2	no	—
782	C₂×#120	C₂×D₇₉	1	2	yes	complemented
783	C₄×#41	—	79	16	no	—
784	C₄×#41	—	79	16	no	—
785	C₂×C₄×Q₈	—	79	1	no	—
786	C₂×C₄×Q₈	—	79	1	no	—
787	C₂×C₄×Q₈	—	79	1	no	—
788	C₂×C₄×Q₈	—	79	1	no	—
789	C₂×C₄×D₄	—	79	1	no	—
790	C₂×C₄×D₄	—	79	2	no	—
791	C₂×C₄×D₄	—	79	1	no	—
792	C₂×C₄×D₄	—	79	1	no	—
793	C₂×C₄×D₄	—	79	2	no	—
794	C₂×C₄×D₄	—	79	1	no	—
795	C₂×C₄×D₄	—	79	16	no	—
796	C₂×C₄×D₄	—	79	2	no	—
797	C₂×C₄×D₄	—	79	1	no	—
798	C₂×C₄×D₄	—	79	1	no	—
799	C₂×C₄×D₄	—	79	2	no	—
800	C₂×C₄×D₄	—	79	2	no	—
801	C₂×C₄×D₄	—	79	1	no	—
802	C₂×C₄×D₄	—	79	1	no	—
803	C₂×C₄×D₄	—	79	16	no	—
804	C₂×C₄×D₄	—	79	1	no	—
805	C₂×C₄×D₄	—	79	1	no	—
806	C₂×C₄×D₄	—	79	2	no	—
807	C₂×C₄×D₄	—	79	2	no	—
808	C₂×C₄×D₄	—	79	2	no	—
809	C₂×C₄×D₄	—	79	2	no	—
810	C₂×C₄×D₄	—	79	2	no	—
811	C₂×C₄×D₄	—	79	2	no	—
812	C₂×C₄×D₄	—	79	2	no	—
813	C₂×C₄×D₄	—	79	2	no	—
814	C₂×C₄×D₄	—	79	1	no	—
815	C₂×C₄×D₄	—	79	32	no	—
816	C₂×C₄×D₄	—	79	1	no	—
817	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
818	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
819	C₂×#117	—	79	2	no	—
820	C₂×#117	—	79	1	no	—
821	C₂×#117	—	79	1	no	—
822	C₂×#117	—	79	2	no	—
823	C₂×#117	—	79	1	no	—
824	C₂×#117	—	79	1	no	—
825	C₂×#117	—	79	2	no	—
826	C₂²×C₄⋊C₄	—	79	2	no	—
827	C₂²×C₄⋊C₄	—	79	1	no	—
828	C₂²×C₄⋊C₄	—	79	1	no	—
829	C₂²×C₂²⋊C₄	—	79	2	no	—
830	C₂²×C₂²⋊C₄	—	79	2	no	—
831	C₂²×C₂²⋊C₄	—	79	2	no	—
832	C₂²×C₂²⋊C₄	C₂×D₇₉	1	2	yes	complemented
833	C₂²×C₄²	—	79	1	no	—
834	C₂²×C₄²	—	79	2	no	—
835	C₂²×C₄²	—	79	1	no	—
836	C₂²×C₄²	—	79	1	no	—
837	C₂⁵	—	79	2	no	—
838	C₂⁵	C₂²×D₇₉	1	2	yes	—
839	C₂×#41	—	2	8	no	—
840	C₂×#41	—	316	8	no	—
841	C₂×#41	—	79	16	no	—
842	C₂×#41	—	79	8	no	—
843	C₂×#41	—	158	8	no	—
844	C₂×#41	C₂²×D₇₉	1	8	yes	—
845	C₂²×Q₈	—	79	2	no	—
846	C₂²×Q₈	—	79	1	no	—
847	C₂²×Q₈	C₂²×D₇₉	1	1	yes	characteristic
848	C₂²×D₄	—	2	8	no	—
849	C₂²×D₄	—	79	2	no	—
850	C₂²×D₄	—	79	2	no	—
851	C₂²×D₄	—	79	1	no	—
852	C₂²×D₄	—	79	1	no	—
853	C₂²×D₄	—	79	2	no	—
854	C₂²×D₄	—	79	2	no	—
855	C₂²×D₄	—	79	2	no	—
856	C₂²×D₄	—	79	2	no	—
857	C₂²×D₄	—	79	16	no	—
858	C₂²×D₄	—	79	8	no	—
859	C₂²×D₄	—	79	1	no	—
860	C₂²×D₄	—	158	16	no	—
861	C₂²×D₄	—	158	8	no	—
862	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
863	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
864	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
865	C₂²×D₄	C₂²×D₇₉	1	8	yes	—
866	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
867	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
868	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
869	C₂³×C₄	—	316	8	no	—
870	C₂³×C₄	—	316	8	no	—
871	C₂³×C₄	—	79	2	no	—
872	C₂³×C₄	—	79	2	no	—
873	C₂³×C₄	—	79	2	no	—
874	C₂³×C₄	—	79	16	no	—
875	C₂³×C₄	—	79	2	no	—
876	C₂³×C₄	—	79	2	no	—
877	C₂³×C₄	—	79	16	no	—
878	C₂³×C₄	—	79	1	no	—
879	C₂³×C₄	—	79	2	no	—
880	C₂³×C₄	—	79	2	no	—
881	C₂³×C₄	—	79	1	no	—
882	C₂³×C₄	—	79	1	no	—
883	C₂³×C₄	—	79	2	no	—
884	C₂³×C₄	—	79	1	no	—
885	C₂³×C₄	—	79	1	no	—
886	C₂³×C₄	—	79	1	no	—
887	C₂³×C₄	—	79	2	no	—
888	C₂³×C₄	—	79	1	no	—
889	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
890	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
891	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
892	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
893	C₄⋊Q₈	—	79	8	no	—
894	#127	—	79	8	no	—
895	#126	—	79	16	no	—
896	#126	—	79	16	no	—
897	#126	—	79	16	no	—
898	#126	—	79	16	no	—
899	#125	—	79	16	no	—
900	#125	—	79	8	no	—
901	#125	—	79	8	no	—
902	#124	—	79	8	no	—
903	#124	—	79	16	no	—
904	#124	—	79	16	no	—
905	#124	C₂²×D₇₉	1	8	yes	complemented
906	#123	—	79	16	no	—
907	#123	—	79	16	no	—
908	#123	—	79	16	no	—
909	#123	—	79	16	no	—
910	#123	—	79	16	no	—
911	#123	—	79	16	no	—
912	#123	—	79	16	no	—
913	#123	C₂²×D₇₉	1	16	yes	complemented
914	C₂²⋊Q₈	—	79	8	no	—
915	C₂²⋊Q₈	—	79	16	no	—
916	C₂²⋊Q₈	—	79	16	no	—
917	C₂²⋊Q₈	—	79	16	no	—
918	C₂²⋊Q₈	—	79	16	no	—
919	C₂²⋊Q₈	—	79	16	no	—
920	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
921	#121	—	79	16	no	—
922	#121	—	79	16	no	—
923	#121	—	79	16	no	—
924	#121	—	79	8	no	—
925	#121	—	79	16	no	—
926	#121	—	79	16	no	—
927	#121	—	79	8	no	—
928	#121	—	79	8	no	—
929	#121	C₂²×D₇₉	1	16	yes	complemented
930	#121	C₂²×D₇₉	1	8	yes	complemented
931	#120	—	79	16	no	—
932	#120	—	79	16	no	—
933	#120	—	79	16	no	—
934	#120	C₂²×D₇₉	1	16	yes	complemented
935	C₄×Q₈	—	79	8	no	—
936	C₄×Q₈	—	79	8	no	—
937	C₄×Q₈	—	79	8	no	—
938	C₄×Q₈	—	79	8	no	—
939	C₄×D₄	—	79	8	no	—
940	C₄×D₄	—	79	16	no	—
941	C₄×D₄	—	79	8	no	—
942	C₄×D₄	—	79	8	no	—
943	C₄×D₄	—	79	16	no	—
944	C₄×D₄	—	79	8	no	—
945	C₄×D₄	—	79	16	no	—
946	C₄×D₄	—	79	8	no	—
947	C₄×D₄	—	79	8	no	—
948	C₄×D₄	—	79	16	no	—
949	C₄×D₄	—	79	16	no	—
950	C₄×D₄	—	79	8	no	—
951	C₄×D₄	—	79	8	no	—
952	C₄×D₄	—	79	8	no	—
953	C₄×D₄	—	79	8	no	—
954	C₄×D₄	—	79	16	no	—
955	C₄×D₄	—	79	16	no	—
956	C₄×D₄	—	79	16	no	—
957	C₄×D₄	—	79	16	no	—
958	C₄×D₄	—	79	16	no	—
959	C₄×D₄	—	79	16	no	—
960	C₄×D₄	—	79	16	no	—
961	C₄×D₄	—	79	16	no	—
962	C₄×D₄	—	79	8	no	—
963	C₄×D₄	—	79	8	no	—
964	C₄×D₄	C₂²×D₇₉	1	8	yes	—
965	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
966	#117	—	79	16	no	—
967	#117	—	79	8	no	—
968	#117	—	79	8	no	—
969	#117	—	79	16	no	—
970	#117	—	79	8	no	—
971	#117	—	79	8	no	—
972	#117	—	79	16	no	—
973	C₂×C₄⋊C₄	—	79	1	no	—
974	C₂×C₄⋊C₄	—	79	1	no	—
975	C₂×C₄⋊C₄	—	79	2	no	—
976	C₂×C₄⋊C₄	—	79	1	no	—
977	C₂×C₄⋊C₄	—	79	2	no	—
978	C₂×C₄⋊C₄	—	79	2	no	—
979	C₂×C₄⋊C₄	—	79	2	no	—
980	C₂×C₄⋊C₄	—	79	2	no	—
981	C₂×C₄⋊C₄	—	79	16	no	—
982	C₂×C₄⋊C₄	—	79	8	no	—
983	C₂×C₄⋊C₄	—	79	1	no	—
984	C₂×C₄⋊C₄	—	79	1	no	—
985	C₂×C₄⋊C₄	—	79	1	no	—
986	C₂×C₄⋊C₄	—	79	2	no	—
987	C₂×C₄⋊C₄	—	79	1	no	—
988	C₂×C₄⋊C₄	—	79	1	no	—
989	C₂×C₄⋊C₄	—	79	2	no	—
990	C₂×C₄⋊C₄	—	79	2	no	—
991	C₂×C₄⋊C₄	—	79	2	no	—
992	C₂×C₄⋊C₄	—	79	2	no	—
993	C₂×C₄⋊C₄	—	79	8	no	—
994	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
997	C₂×C₂²⋊C₄	—	79	2	no	—
998	C₂×C₂²⋊C₄	—	79	2	no	—
999	C₂×C₂²⋊C₄	—	79	2	no	—
1000	C₂×C₂²⋊C₄	—	79	2	no	—
1001	C₂×C₂²⋊C₄	—	79	16	no	—
1002	C₂×C₂²⋊C₄	—	79	1	no	—
1003	C₂×C₂²⋊C₄	—	79	2	no	—
1004	C₂×C₂²⋊C₄	—	79	2	no	—
1005	C₂×C₂²⋊C₄	—	79	1	no	—
1006	C₂×C₂²⋊C₄	—	79	2	no	—
1007	C₂×C₂²⋊C₄	—	79	1	no	—
1008	C₂×C₂²⋊C₄	—	79	2	no	—
1009	C₂×C₂²⋊C₄	—	79	2	no	—
1010	C₂×C₂²⋊C₄	—	79	2	no	—
1011	C₂×C₂²⋊C₄	—	79	2	no	—
1012	C₂×C₂²⋊C₄	—	79	2	no	—
1013	C₂×C₂²⋊C₄	—	79	16	no	—
1014	C₂×C₂²⋊C₄	—	79	1	no	—
1015	C₂×C₂²⋊C₄	—	79	2	no	—
1016	C₂×C₂²⋊C₄	—	79	2	no	—
1017	C₂×C₂²⋊C₄	—	79	16	no	—
1018	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1019	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1021	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1022	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1023	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1025	C₂×C₂²⋊C₄	C₂²×D₇₉	1	16	yes	complemented
1026	C₂×C₄²	—	79	1	no	—
1027	C₂×C₄²	—	79	1	no	—
1028	C₂×C₄²	—	79	2	no	—
1029	C₂×C₄²	—	79	1	no	—
1030	C₂×C₄²	—	79	1	no	—
1031	C₂×C₄²	—	79	1	no	—
1032	C₂×C₄²	—	79	2	no	—
1033	C₂×C₄²	—	79	2	no	—
1034	C₂×C₄²	—	79	1	no	—
1035	C₂×C₄²	—	79	1	no	—
1036	C₂×C₄²	—	79	1	no	—
1037	C₂×C₄²	—	79	1	no	—
1038	C₂×C₄²	—	79	8	no	—
1039	C₂×C₄²	—	79	16	no	—
1040	C₂×C₄²	—	79	8	no	—
1041	C₂×C₄²	—	79	8	no	—
1042	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1043	C₂⁴	—	2	8	no	—
1044	C₂⁴	—	2	8	no	—
1045	C₂⁴	—	4	4	no	—
1046	C₂⁴	—	316	4	no	—
1047	C₂⁴	—	79	8	no	—
1048	C₂⁴	—	79	1	no	—
1049	C₂⁴	—	79	2	no	—
1050	C₂⁴	—	158	8	no	—
1051	C₂⁴	—	158	8	no	—
1052	C₂⁴	C₂³×D₇₉	1	2	yes	—
1053	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1054	C₂⁴	C₂³×D₇₉	1	8	yes	—
1055	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
1056	C₂⁴	C₂³×D₇₉	1	2	yes	—
1057	#41	—	2	32	no	—
1058	#41	—	316	32	no	—
1059	#41	—	158	32	no	—
1060	C₂×Q₈	—	2	4	no	—
1061	C₂×Q₈	—	316	4	no	—
1062	C₂×Q₈	—	79	8	no	—
1063	C₂×Q₈	—	79	4	no	—
1064	C₂×Q₈	—	158	4	no	—
1065	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1066	C₂×D₄	—	2	4	no	—
1067	C₂×D₄	—	2	8	no	—
1068	C₂×D₄	—	2	8	no	—
1069	C₂×D₄	—	2	32	no	—
1070	C₂×D₄	—	2	4	no	—
1071	C₂×D₄	—	4	4	no	—
1072	C₂×D₄	—	316	4	no	—
1073	C₂×D₄	—	316	4	no	—
1074	C₂×D₄	—	79	8	no	—
1075	C₂×D₄	—	79	8	no	—
1076	C₂×D₄	—	79	8	no	—
1077	C₂×D₄	—	79	4	no	—
1078	C₂×D₄	—	79	4	no	—
1079	C₂×D₄	—	79	8	no	—
1080	C₂×D₄	—	79	8	no	—
1081	C₂×D₄	—	79	8	no	—
1082	C₂×D₄	—	79	8	no	—
1083	C₂×D₄	—	79	4	no	—
1084	C₂×D₄	—	158	8	no	—
1085	C₂×D₄	—	158	64	no	—
1086	C₂×D₄	—	158	8	no	—
1087	C₂×D₄	—	158	4	no	—
1088	C₂×D₄	—	158	8	no	—
1089	C₂×D₄	—	158	8	no	—
1090	C₂×D₄	—	158	32	no	—
1091	C₂×D₄	—	158	4	no	—
1092	C₂×D₄	#11929623	1	8	yes	complemented
1093	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1094	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1095	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1096	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1097	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1098	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1099	C₂²×C₄	—	2	8	no	—
1100	C₂²×C₄	—	2	4	no	—
1101	C₂²×C₄	—	2	4	no	—
1102	C₂²×C₄	—	4	4	no	—
1103	C₂²×C₄	—	316	4	no	—
1104	C₂²×C₄	—	316	4	no	—
1105	C₂²×C₄	—	316	32	no	—
1106	C₂²×C₄	—	316	4	no	—
1107	C₂²×C₄	—	316	4	no	—
1108	C₂²×C₄	—	316	4	no	—
1109	C₂²×C₄	—	316	32	no	—
1110	C₂²×C₄	—	79	8	no	—
1111	C₂²×C₄	—	79	8	no	—
1112	C₂²×C₄	—	79	8	no	—
1113	C₂²×C₄	—	79	8	no	—
1114	C₂²×C₄	—	79	8	no	—
1115	C₂²×C₄	—	79	1	no	—
1116	C₂²×C₄	—	79	1	no	—
1117	C₂²×C₄	—	79	4	no	—
1118	C₂²×C₄	—	79	8	no	—
1119	C₂²×C₄	—	79	4	no	—
1120	C₂²×C₄	—	79	4	no	—
1121	C₂²×C₄	—	79	8	no	—
1122	C₂²×C₄	—	79	4	no	—
1123	C₂²×C₄	—	79	8	no	—
1124	C₂²×C₄	—	79	1	no	—
1125	C₂²×C₄	—	79	1	no	—
1126	C₂²×C₄	—	79	2	no	—
1127	C₂²×C₄	—	79	1	no	—
1128	C₂²×C₄	—	79	1	no	—
1129	C₂²×C₄	—	79	2	no	—
1130	C₂²×C₄	—	79	1	no	—
1131	C₂²×C₄	—	79	2	no	—
1132	C₂²×C₄	—	79	4	no	—
1133	C₂²×C₄	—	79	4	no	—
1134	C₂²×C₄	—	79	4	no	—
1135	C₂²×C₄	—	79	8	no	—
1136	C₂²×C₄	—	158	4	no	—
1137	C₂²×C₄	—	158	8	no	—
1138	C₂²×C₄	—	158	4	no	—
1139	C₂²×C₄	—	158	8	no	—
1140	C₂²×C₄	—	158	4	no	—
1141	C₂²×C₄	—	158	8	no	—
1142	C₂²×C₄	—	158	8	no	—
1143	C₂²×C₄	—	158	4	no	—
1144	C₂²×C₄	—	158	4	no	—
1145	C₂²×C₄	—	158	4	no	—
1146	C₂²×C₄	—	158	4	no	—
1147	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1148	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1149	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1150	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1151	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1152	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1153	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1154	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1155	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1156	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1157	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1158	C₄⋊C₄	—	79	4	no	—
1159	C₄⋊C₄	—	79	8	no	—
1160	C₄⋊C₄	—	79	8	no	—
1161	C₄⋊C₄	—	79	8	no	—
1162	C₄⋊C₄	—	79	8	no	—
1163	C₄⋊C₄	—	79	4	no	—
1164	C₄⋊C₄	—	79	4	no	—
1165	C₄⋊C₄	—	79	4	no	—
1166	C₄⋊C₄	—	79	8	no	—
1167	C₄⋊C₄	—	79	8	no	—
1168	C₄⋊C₄	—	79	4	no	—
1169	C₄⋊C₄	—	79	4	no	—
1170	C₄⋊C₄	—	79	8	no	—
1171	C₄⋊C₄	—	79	4	no	—
1172	C₄⋊C₄	—	79	8	no	—
1173	C₄⋊C₄	—	79	4	no	—
1174	C₄⋊C₄	—	79	8	no	—
1175	C₄⋊C₄	—	79	8	no	—
1176	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1177	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1178	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1179	C₂²⋊C₄	—	79	8	no	—
1180	C₂²⋊C₄	—	79	8	no	—
1181	C₂²⋊C₄	—	79	8	no	—
1182	C₂²⋊C₄	—	79	8	no	—
1183	C₂²⋊C₄	—	79	4	no	—
1184	C₂²⋊C₄	—	79	8	no	—
1185	C₂²⋊C₄	—	79	4	no	—
1186	C₂²⋊C₄	—	79	8	no	—
1187	C₂²⋊C₄	—	79	8	no	—
1188	C₂²⋊C₄	—	79	4	no	—
1189	C₂²⋊C₄	—	79	8	no	—
1190	C₂²⋊C₄	—	79	8	no	—
1191	C₂²⋊C₄	—	79	8	no	—
1192	C₂²⋊C₄	—	79	8	no	—
1193	C₂²⋊C₄	—	79	8	no	—
1194	C₂²⋊C₄	—	79	4	no	—
1195	C₂²⋊C₄	—	79	8	no	—
1196	C₂²⋊C₄	—	79	8	no	—
1197	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1198	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1199	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1200	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1201	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1202	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1203	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1204	C₄²	—	79	4	no	—
1205	C₄²	—	79	4	no	—
1206	C₄²	—	79	4	no	—
1207	C₄²	—	79	4	no	—
1208	C₄²	—	79	8	no	—
1209	C₄²	—	79	4	no	—
1210	C₄²	—	79	4	no	—
1211	C₄²	—	79	4	no	—
1212	C₄²	—	79	8	no	—
1213	C₄²	—	79	8	no	—
1214	C₄²	—	79	4	no	—
1215	C₄²	—	79	4	no	—
1216	C₄²	C₂³×D₇₉	1	4	yes	—
1217	C₂³	—	2	4	no	—
1218	C₂³	—	2	2	no	—
1219	C₂³	—	2	4	no	—
1220	C₂³	—	2	2	no	—
1221	C₂³	—	2	4	no	—
1222	C₂³	—	2	2	no	—
1223	C₂³	—	2	2	no	—
1224	C₂³	—	2	16	no	—
1225	C₂³	—	2	4	no	—
1226	C₂³	—	2	2	no	—
1227	C₂³	—	2	16	no	—
1228	C₂³	—	2	4	no	—
1229	C₂³	—	4	8	no	—
1230	C₂³	—	4	32	no	—
1231	C₂³	—	316	32	no	—
1232	C₂³	—	316	8	no	—
1233	C₂³	—	79	2	no	—
1234	C₂³	—	79	4	no	—
1235	C₂³	—	79	4	no	—
1236	C₂³	—	158	16	no	—
1237	C₂³	—	158	4	no	—
1238	C₂³	—	158	4	no	—
1239	C₂³	—	158	16	no	—
1240	C₂³	—	158	4	no	—
1241	C₂³	—	158	2	no	—
1242	C₂³	—	158	2	no	—
1243	C₂³	#41×D₇₉	1	4	yes	—
1244	C₂³	C₂×#11929623	1	8	yes	—
1245	C₂³	C₂⁴×D₇₉	1	4	yes	—
1246	C₂³	C₂⁴×D₇₉	1	2	yes	—
1247	C₂³	C₂⁴×D₇₉	1	2	yes	—
1248	C₂³	C₂⁴×D₇₉	1	4	yes	—
1249	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1250	Q₈	—	2	8	no	—
1251	Q₈	—	316	8	no	—
1252	Q₈	—	158	8	no	—
1253	D₄	—	2	8	no	—
1254	D₄	—	2	16	no	—
1255	D₄	—	2	16	no	—
1256	D₄	—	2	8	no	—
1257	D₄	—	4	8	no	—
1258	D₄	—	316	8	no	—
1259	D₄	—	316	8	no	—
1260	D₄	—	79	16	no	—
1261	D₄	—	158	16	no	—
1262	D₄	—	158	16	no	—
1263	D₄	—	158	8	no	—
1264	D₄	—	158	16	no	—
1265	D₄	—	158	16	no	—
1266	D₄	—	158	8	no	—
1267	D₄	C₂×#11929623	1	16	yes	complemented
1268	C₂×C₄	—	2	2	no	—
1269	C₂×C₄	—	2	4	no	—
1270	C₂×C₄	—	2	2	no	—
1271	C₂×C₄	—	2	2	no	—
1272	C₂×C₄	—	2	2	no	—
1273	C₂×C₄	—	2	4	no	—
1274	C₂×C₄	—	2	16	no	—
1275	C₂×C₄	—	2	8	no	—
1276	C₂×C₄	—	2	8	no	—
1277	C₂×C₄	—	4	8	no	—
1278	C₂×C₄	—	316	8	no	—
1279	C₂×C₄	—	316	8	no	—
1280	C₂×C₄	—	316	8	no	—
1281	C₂×C₄	—	316	8	no	—
1282	C₂×C₄	—	316	8	no	—
1283	C₂×C₄	—	79	4	no	—
1284	C₂×C₄	—	79	2	no	—
1285	C₂×C₄	—	79	2	no	—
1286	C₂×C₄	—	79	4	no	—
1287	C₂×C₄	—	79	2	no	—
1288	C₂×C₄	—	79	2	no	—
1289	C₂×C₄	—	79	4	no	—
1290	C₂×C₄	—	79	2	no	—
1291	C₂×C₄	—	79	4	no	—
1292	C₂×C₄	—	79	2	no	—
1293	C₂×C₄	—	79	2	no	—
1294	C₂×C₄	—	79	4	no	—
1295	C₂×C₄	—	158	8	no	—
1296	C₂×C₄	—	158	16	no	—
1297	C₂×C₄	—	158	8	no	—
1298	C₂×C₄	—	158	16	no	—
1299	C₂×C₄	—	158	8	no	—
1300	C₂×C₄	—	158	16	no	—
1301	C₂×C₄	—	158	16	no	—
1302	C₂×C₄	—	158	8	no	—
1303	C₂×C₄	—	158	8	no	—
1304	C₂×C₄	—	158	4	no	—
1305	C₂×C₄	—	158	2	no	—
1306	C₂×C₄	—	158	4	no	—
1307	C₂×C₄	—	158	2	no	—
1308	C₂×C₄	—	158	2	no	—
1309	C₂×C₄	—	158	4	no	—
1310	C₂×C₄	—	158	2	no	—
1311	C₂×C₄	—	158	8	no	—
1312	C₂×C₄	—	158	2	no	—
1313	C₂×C₄	—	158	8	no	—
1314	C₂×C₄	C₂×#11929623	1	4	yes	—
1315	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1316	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1317	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1318	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1319	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1320	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1321	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1322	C₂²	—	2	4	no	—
1323	C₂²	—	2	2	no	—
1324	C₂²	—	2	4	no	—
1325	C₂²	—	2	2	no	—
1326	C₂²	—	2	8	no	—
1327	C₂²	—	2	16	no	—
1328	C₂²	—	2	2	no	—
1329	C₂²	—	2	4	no	—
1330	C₂²	—	2	2	no	—
1331	C₂²	—	2	4	no	—
1332	C₂²	—	2	4	no	—
1333	C₂²	—	2	2	no	—
1334	C₂²	—	4	32	no	—
1335	C₂²	—	4	8	no	—
1336	C₂²	—	4	4	no	—
1337	C₂²	—	316	32	no	—
1338	C₂²	—	316	8	no	—
1339	C₂²	—	79	4	no	—
1340	C₂²	—	158	4	no	—
1341	C₂²	—	158	4	no	—
1342	C₂²	—	158	4	no	—
1343	C₂²	—	158	2	no	—
1344	C₂²	—	158	2	no	—
1345	C₂²	—	158	8	no	—
1346	C₂²	C₂×#41×D₇₉	1	4	yes	—
1347	C₂²	C₂×#41×D₇₉	1	2	yes	—
1348	C₂²	C₂²×#11929623	1	8	yes	—
1349	C₂²	C₂²×#11929623	1	2	yes	—
1350	C₂²	H(5,𝔽₂)×D₇₉	1	2	yes	—
1351	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1352	C₄	—	2	2	no	—
1353	C₄	—	2	2	no	—
1354	C₄	—	2	2	no	—
1355	C₄	—	2	4	no	—
1356	C₄	—	2	2	no	—
1357	C₄	—	2	4	no	—
1358	C₄	—	79	4	no	—
1359	C₄	—	79	4	no	—
1360	C₄	—	158	2	no	—
1361	C₄	—	158	4	no	—
1362	C₄	—	158	2	no	—
1363	C₄	—	158	2	no	—
1364	C₄	—	158	4	no	—
1365	C₄	—	158	2	no	—
1366	C₄	—	158	4	no	—
1367	C₄	—	158	2	no	—
1368	C₄	C₂²×#11929623	1	4	yes	—
1369	C₂	—	2	4	no	—
1370	C₂	—	2	8	no	—
1371	C₂	—	4	4	no	—
1372	C₂	—	4	2	no	—
1373	C₂	—	316	4	no	—
1374	C₂	—	158	4	no	—
1375	C₂	#23777005	1	4	yes	direct product factor
1376	C₂	C₂²×#41×D₇₉	1	1	yes	characteristic
1377	C₂	C₂³×#11929623	1	1	yes	characteristic
1378	C₂	C₂×H(5,𝔽₂)×D₇₉	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₉
commutator, cosocle	C₂²×C₇₉	C₂⁶
Frattini	C₂²	C₂⁵×D₇₉
Fitting	C₂×#546×C₇₉	C₂
socle	C₂³×C₇₉	C₂⁵
hypercenter	C₂×#546	D₇₉
hypocenter	C₇₉	C₂×#3481
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×#546

Complements

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

N	H ≅ G/N	type
1. #23777005	C₂	direct (N × H)
2. C₂×#19099295	C₂	semidirect
3. C₂×#19099272	C₂	semidirect
4. C₂×#19099271	C₂	semidirect
5. C₂×#19099260	C₂	semidirect
6. C₂×#19099259	C₂	semidirect
7. C₂×#19099256	C₂	semidirect
8. C₂×#19099239	C₂	semidirect
9. C₂×#19099236	C₂	semidirect
10. C₂×#19099201	C₂	semidirect
11. C₂×#19099200	C₂	semidirect
12. C₂×D₄×C₂²⋊D₇₉	C₂	semidirect
13. C₂×#19099108	C₂	semidirect
14. C₂×#19099099	C₂	semidirect
15. C₂×#19099092	C₂	semidirect
16. C₂×#19099090	C₂	semidirect
17. C₂×#19099073	C₂	semidirect
18. C₂×#19099069	C₂	semidirect
19. C₂×#41×Dic₇₉	C₂	semidirect
20. C₂×C₄×#11929623	C₂	semidirect
21. C₂²×D₄×Dic₇₉	C₂	semidirect
22. C₂²×(C₂²⋊D₇₉)⋊C₄	C₂	semidirect
23. C₂×C₄×D₄×D₇₉	C₂	semidirect
24. C₂×#546×C₇₉	C₂	semidirect
26. C₂²×#11929623	C₂²	semidirect
29. C₂⁴×Dic₇₉	C₂²	semidirect
30. C₂³×C₄×D₇₉	C₂²	semidirect
31. #19099295	C₂²	semidirect
32. #19099272	C₂²	semidirect
33. #19099271	C₂²	semidirect
34. #19099260	C₂²	semidirect
35. #19099259	C₂²	semidirect
36. #19099256	C₂²	semidirect
37. #19099239	C₂²	semidirect
38. #19099236	C₂²	semidirect
39. #19099201	C₂²	semidirect
40. #19099200	C₂²	semidirect
41. D₄×C₂²⋊D₇₉	C₂²	semidirect
42. #19099108	C₂²	semidirect
43. C₂×#14579160	C₂²	semidirect
45. #19099099	C₂²	semidirect
46. #19099092	C₂²	semidirect
47. #19099090	C₂²	semidirect
48. C₂×#14579156	C₂²	semidirect
49. C₂×#14579156	C₂²	semidirect
50. C₂×#14579154	C₂²	semidirect
51. C₂×#14579154	C₂²	semidirect
52. C₂×#14579153	C₂²	semidirect
53. C₂×#14579152	C₂²	semidirect
54. C₂×#14579151	C₂²	semidirect
55. C₂×#14579150	C₂²	semidirect
56. C₂×#14579147	C₂²	semidirect
57. C₂×#14579147	C₂²	semidirect
58. #19099073	C₂²	semidirect
59. #19099069	C₂²	semidirect
60. C₂×#14579145	C₂²	semidirect
61. C₂×#14579145	C₂²	semidirect
62. C₂×#14579144	C₂²	semidirect
63. C₂×#14579143	C₂²	semidirect
64. C₂×#14579143	C₂²	semidirect
65. C₂×#14579143	C₂²	semidirect
66. C₂×#14579142	C₂²	semidirect
67. C₂×#14579141	C₂²	semidirect
68. C₂×#14579140	C₂²	semidirect
69. C₂×#14579138	C₂²	semidirect
70. C₂×#14579138	C₂²	semidirect
71. C₂×#14579138	C₂²	semidirect
72. C₂×#14579137	C₂²	semidirect
74. C₂×#14579135	C₂²	semidirect
76. C₂×#14579133	C₂²	semidirect
77. C₂×#14579133	C₂²	semidirect
78. C₂×#14579133	C₂²	semidirect
80. C₂×#14579132	C₂²	semidirect
83. C₂×#14579129	C₂²	semidirect
84. #41×Dic₇₉	C₂²	semidirect
85. C₄×#11929623	C₂²	semidirect
86. C₂×Q₈×Dic₇₉	C₂²	semidirect
87. C₂×Q₈×Dic₇₉	C₂²	semidirect
88. C₂×C₄×Dic₁₅₈	C₂²	semidirect
89. C₂×#14579126	C₂²	semidirect
90. C₂×C₄×D₃₁₆	C₂²	semidirect
94. C₂×D₄×Dic₇₉	C₂²	semidirect
95. C₂×D₄×Dic₇₉	C₂²	semidirect
96. C₂×D₄×Dic₇₉	C₂²	semidirect
97. C₂×D₄×Dic₇₉	C₂²	semidirect
98. C₂×D₄×Dic₇₉	C₂²	semidirect
99. C₂×D₄×Dic₇₉	C₂²	semidirect
100. C₂×D₄×Dic₇₉	C₂²	semidirect
101. C₂×D₄×Dic₇₉	C₂²	semidirect
102. C₂×#14579123	C₂²	semidirect
104. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
105. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
108. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
109. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
110. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
111. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
112. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
113. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
114. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
115. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
116. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
117. C₄×D₄×D₇₉	C₂²	semidirect
118. C₂×#14579120	C₂²	semidirect
119. C₂×#14579120	C₂²	semidirect
120. C₂×#14579119	C₂²	semidirect
121. C₂×#14579119	C₂²	semidirect
122. C₂×#14579117	C₂²	semidirect
123. C₂×#14579117	C₂²	semidirect
124. C₂×#14579117	C₂²	semidirect
125. C₂²×C₄⋊Dic₇₉	C₂²	semidirect
126. C₂²×Dic₇₉⋊C₄	C₂²	semidirect
127. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
128. C₂²×C₂²⋊Dic₇₉	C₂²	semidirect
129. C₂²×(C₂×D₇₉)⋊C₄	C₂²	semidirect
130. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
131. C₂²×C₄×Dic₇₉	C₂²	semidirect
132. C₂²×C₄×Dic₇₉	C₂²	semidirect
133. C₂²×C₄×Dic₇₉	C₂²	semidirect
134. C₂×C₄²×D₇₉	C₂²	semidirect
137. #546×C₇₉	C₂²	semidirect
138. C₂×#124×C₇₉	C₂²	semidirect
139. C₂×#123×C₇₉	C₂²	semidirect
140. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
141. C₂×#121×C₇₉	C₂²	semidirect
142. C₂×#121×C₇₉	C₂²	semidirect
143. C₂×#120×C₇₉	C₂²	semidirect
145. C₂×C₄×D₄×C₇₉	C₂²	semidirect
146. C₂²×C₂²⋊C₄×C₇₉	C₂²	semidirect
151. C₂×#11929623	C₂³	semidirect
178. C₂³×Dic₇₉	C₂³	semidirect
186. C₂²×C₄×D₇₉	C₂³	semidirect
187. #14579160	C₂³	semidirect
189. #14579156	C₂³	semidirect
190. #14579156	C₂³	semidirect
191. #14579154	C₂³	semidirect
192. #14579154	C₂³	semidirect
193. #14579153	C₂³	semidirect
194. #14579152	C₂³	semidirect
195. #14579151	C₂³	semidirect
196. #14579150	C₂³	semidirect
197. #14579147	C₂³	semidirect
198. #14579147	C₂³	semidirect
199. #14579145	C₂³	semidirect
200. #14579145	C₂³	semidirect
201. #14579144	C₂³	semidirect
202. #14579143	C₂³	semidirect
203. #14579143	C₂³	semidirect
204. #14579143	C₂³	semidirect
205. #14579142	C₂³	semidirect
206. #14579141	C₂³	semidirect
207. #14579140	C₂³	semidirect
208. #14579138	C₂³	semidirect
209. #14579138	C₂³	semidirect
210. #14579138	C₂³	semidirect
211. #14579137	C₂³	semidirect
213. #14579135	C₂³	semidirect
215. #14579133	C₂³	semidirect
216. #14579133	C₂³	semidirect
217. #14579133	C₂³	semidirect
219. #14579132	C₂³	semidirect
222. #14579129	C₂³	semidirect
223. Q₈×Dic₇₉	C₂³	semidirect
224. Q₈×Dic₇₉	C₂³	semidirect
225. C₄×Dic₁₅₈	C₂³	semidirect
226. #14579126	C₂³	semidirect
227. C₄×D₃₁₆	C₂³	semidirect
231. D₄×Dic₇₉	C₂³	semidirect
232. D₄×Dic₇₉	C₂³	semidirect
233. D₄×Dic₇₉	C₂³	semidirect
234. D₄×Dic₇₉	C₂³	semidirect
235. D₄×Dic₇₉	C₂³	semidirect
236. D₄×Dic₇₉	C₂³	semidirect
237. D₄×Dic₇₉	C₂³	semidirect
238. #14579123	C₂³	semidirect
240. C₄×C₂²⋊D₇₉	C₂³	semidirect
241. C₄×C₂²⋊D₇₉	C₂³	semidirect
244. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
245. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
246. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
247. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
248. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
249. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
250. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
251. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
252. #14579120	C₂³	semidirect
253. #14579120	C₂³	semidirect
254. #14579119	C₂³	semidirect
255. #14579119	C₂³	semidirect
256. #14579117	C₂³	semidirect
257. #14579117	C₂³	semidirect
258. #14579117	C₂³	semidirect
267. C₂×C₄⋊Dic₇₉	C₂³	semidirect
278. C₂×Dic₇₉⋊C₄	C₂³	semidirect
279. C₄⋊C₄×D₇₉	C₂³	semidirect
289. C₂×C₂²⋊Dic₇₉	C₂³	semidirect
299. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
300. C₂²⋊C₄×D₇₉	C₂³	semidirect
313. C₂×C₄×Dic₇₉	C₂³	semidirect
314. C₂×C₄×Dic₇₉	C₂³	semidirect
315. C₂×C₄×Dic₇₉	C₂³	semidirect
316. C₄²×D₇₉	C₂³	semidirect
333. #124×C₇₉	C₂³	semidirect
334. #123×C₇₉	C₂³	semidirect
335. C₂²⋊Q₈×C₇₉	C₂³	semidirect
336. #121×C₇₉	C₂³	semidirect
337. #121×C₇₉	C₂³	semidirect
338. #120×C₇₉	C₂³	semidirect
340. C₄×D₄×C₇₉	C₂³	semidirect
351. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
375. C₂×C₂²⋊D₇₉	#41	semidirect
494. C₂×D₄×C₇₉	#41	semidirect
566. D₄×C₇₉	C₂×#41	semidirect
592. C₂²⋊D₇₉	C₂×#41	semidirect
684. C₂×C₇₉	#3481	semidirect
701. C₂×#546	D₇₉	semidirect
714. C₇₉	C₂×#3481	semidirect
733. #546	C₂×D₇₉	semidirect
751. C₂×#124	C₂×D₇₉	semidirect
761. C₂×#123	C₂×D₇₉	semidirect
768. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
777. C₂×#121	C₂×D₇₉	semidirect
778. C₂×#121	C₂×D₇₉	semidirect
782. C₂×#120	C₂×D₇₉	semidirect
818. C₂×C₄×D₄	C₂×D₇₉	semidirect
832. C₂²×C₂²⋊C₄	C₂×D₇₉	semidirect
905. #124	C₂²×D₇₉	semidirect
913. #123	C₂²×D₇₉	semidirect
920. C₂²⋊Q₈	C₂²×D₇₉	semidirect
929. #121	C₂²×D₇₉	semidirect
930. #121	C₂²×D₇₉	semidirect
934. #120	C₂²×D₇₉	semidirect
965. C₄×D₄	C₂²×D₇₉	semidirect
1025. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
1092. C₂×D₄	#11929623	semidirect
1267. D₄	C₂×#11929623	semidirect
1375. C₂	#23777005	direct (N × H)

Maximal subgroups

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

subgroup	index
#23777005	2
C₂×#19099295	2
C₂×#19099272	2
C₂×#19099271	2
C₂×#19099260	2
C₂×#19099259	2
C₂×#19099256	2
C₂×#19099239	2
C₂×#19099236	2
C₂×#19099201	2
C₂×#19099200	2
C₂×D₄×C₂²⋊D₇₉	2
C₂×#19099108	2
C₂×#19099099	2
C₂×#19099092	2
C₂×#19099090	2
C₂×#19099073	2
C₂×#19099069	2
C₂×#41×Dic₇₉	2
C₂×C₄×#11929623	2
C₂²×D₄×Dic₇₉	2
C₂²×(C₂²⋊D₇₉)⋊C₄	2
C₂×C₄×D₄×D₇₉	2
C₂×#546×C₇₉	2
C₂×#3481	79

Subgroups — C2×#23777005 #35195350

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23777005 #35195350