Subgroups — C₂×#23777749 #35196020

Order 20224.

7430 conjugacy classes of subgroups.

The subgroup lattice has 1196 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777749	C₂	1	32	yes	maximal, direct product factor
2	C₂×#19099316	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#19099308	C₂	1	2	yes	maximal, complemented
4	C₂×#19099306	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#19099277	C₂	1	2	yes	maximal, complemented
6	C₂×#19099244	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#19099244	C₂	1	2	yes	maximal, complemented
8	C₂×#19099241	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#19099239	C₂	1	2	yes	maximal, complemented
10	C₂×#19099207	C₂	1	2	yes	maximal, complemented
11	C₂×#19099200	C₂	1	2	yes	maximal, complemented
12	C₂×#19099181	C₂	1	2	yes	maximal, complemented
13	C₂×#19099180	C₂	1	2	yes	maximal, complemented
14	C₂×#19099148	C₂	1	2	yes	maximal, complemented
15	C₂×#19099145	C₂	1	2	yes	maximal, complemented
16	C₂×#19099135	C₂	1	2	yes	maximal, complemented
17	C₂×#19099122	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#19099090	C₂	1	2	yes	maximal, complemented
19	C₂²×#14579148	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#534×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×#11929623	C₂²	1	2	yes	—
22	C₂³×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
23	C₂³×C₂²⋊D₇₉	C₂²	1	1	yes	characteristic, complemented
24	#19099316	C₂²	1	16	yes	complemented
25	#19099308	C₂²	1	32	yes	complemented
26	#19099306	C₂²	1	16	yes	complemented
27	#19099277	C₂²	1	32	yes	complemented
28	#19099244	C₂²	1	16	yes	complemented
29	#19099244	C₂²	1	32	yes	complemented
30	#19099241	C₂²	1	16	yes	complemented
31	#19099239	C₂²	1	32	yes	complemented
32	#19099207	C₂²	1	32	yes	complemented
33	#19099200	C₂²	1	32	yes	complemented
34	#19099181	C₂²	1	32	yes	complemented
35	#19099180	C₂²	1	32	yes	complemented
36	#19099148	C₂²	1	32	yes	complemented
37	#19099145	C₂²	1	32	yes	complemented
38	#19099135	C₂²	1	32	yes	complemented
39	#19099122	C₂²	1	16	yes	complemented
40	C₂×#14579160	C₂²	1	2	yes	complemented
41	C₂×#14579160	C₂²	1	2	yes	complemented
42	#19099090	C₂²	1	32	yes	complemented
43	C₂×#14579156	C₂²	1	2	yes	complemented
44	C₂×#14579154	C₂²	1	2	yes	complemented
45	C₂×#14579154	C₂²	1	2	yes	complemented
46	C₂×#14579154	C₂²	1	2	yes	complemented
47	C₂×#14579154	C₂²	1	2	yes	complemented
48	C₂×#14579154	C₂²	1	2	yes	complemented
49	C₂×#14579151	C₂²	1	2	yes	complemented
50	C₂×#14579148	C₂²	1	1	yes	characteristic
51	C₂×#14579148	C₂²	1	1	yes	characteristic
52	C₂×#14579148	C₂²	1	2	yes	complemented
53	C₂×#14579148	C₂²	1	2	yes	complemented
54	C₂×#14579148	C₂²	1	2	yes	complemented
55	C₂×#14579148	C₂²	1	2	yes	complemented
56	C₂×#14579148	C₂²	1	1	yes	characteristic, complemented
57	C₂×#14579148	C₂²	1	1	yes	characteristic, complemented
58	C₂×#14579148	C₂²	1	16	yes	complemented
59	C₂×#14579147	C₂²	1	2	yes	complemented
60	C₂×#14579147	C₂²	1	2	yes	complemented
61	C₂×#14579147	C₂²	1	2	yes	complemented
62	C₂×#14579147	C₂²	1	2	yes	complemented
63	C₂×#14579147	C₂²	1	2	yes	complemented
64	C₂×#14579145	C₂²	1	2	yes	complemented
65	C₂×#14579144	C₂²	1	2	yes	complemented
66	C₂×#14579144	C₂²	1	2	yes	complemented
67	C₂×#14579143	C₂²	1	2	yes	complemented
68	C₂×#14579143	C₂²	1	2	yes	complemented
69	C₂×#14579142	C₂²	1	1	yes	characteristic
70	C₂×#14579142	C₂²	1	1	yes	characteristic, complemented
71	C₂×#14579142	C₂²	1	2	yes	complemented
72	C₂×#14579142	C₂²	1	2	yes	complemented
73	C₂×#14579142	C₂²	1	2	yes	complemented
74	C₂×#14579142	C₂²	1	2	yes	complemented
75	C₂×#14579140	C₂²	1	2	yes	complemented
76	C₂×#14579140	C₂²	1	2	yes	complemented
77	C₂×#14579139	C₂²	1	2	yes	complemented
78	C₂×#14579139	C₂²	1	2	yes	complemented
79	C₂×#14579138	C₂²	1	2	yes	complemented
80	C₂×#14579138	C₂²	1	2	yes	complemented
81	C₂×#14579138	C₂²	1	2	yes	complemented
82	C₂×#14579138	C₂²	1	2	yes	complemented
83	C₂×#14579138	C₂²	1	2	yes	complemented
84	C₂×#14579133	C₂²	1	2	yes	—
85	C₂×#14579133	C₂²	1	2	yes	—
86	C₂×#14579133	C₂²	1	2	yes	complemented
87	C₂×#14579133	C₂²	1	2	yes	complemented
88	C₂×#14579133	C₂²	1	2	yes	complemented
89	C₂×#14579132	C₂²	1	2	yes	complemented
90	C₂×#14579132	C₂²	1	2	yes	complemented
91	C₂×#14579130	C₂²	1	2	yes	—
92	C₂×#14579130	C₂²	1	2	yes	complemented
93	C₂×#14579129	C₂²	1	1	yes	characteristic
94	C₂×#14579129	C₂²	1	2	yes	complemented
95	C₂×#14579129	C₂²	1	1	yes	characteristic, complemented
96	C₂×#14579126	C₂²	1	2	yes	complemented
97	C₂×D₄×Dic₇₉	C₂²	1	2	yes	complemented
98	C₂×D₄×Dic₇₉	C₂²	1	2	yes	complemented
99	C₂×D₄×Dic₇₉	C₂²	1	2	yes	complemented
100	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
101	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
102	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
103	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
104	C₂×#14579120	C₂²	1	2	yes	complemented
105	C₂×#14579119	C₂²	1	2	yes	complemented
106	C₂×#14579117	C₂²	1	2	yes	complemented
107	C₂×#14579117	C₂²	1	2	yes	complemented
108	C₂×#14579117	C₂²	1	2	yes	complemented
109	C₂²×C₂²⋊Dic₇₉	C₂²	1	2	yes	complemented
110	C₂²×C₂²⋊Dic₇₉	C₂²	1	2	yes	complemented
111	C₂²×C₂²⋊Dic₇₉	C₂²	1	2	yes	complemented
112	C₂²×C₂²⋊Dic₇₉	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	complemented
114	C₂²×C₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
115	C₂³×D₄×C₇₉	C₂²	1	1	yes	characteristic
116	C₂³×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
117	#534×C₇₉	C₂²	1	16	yes	complemented
118	C₂×#123×C₇₉	C₂²	1	1	yes	characteristic
119	C₂×#123×C₇₉	C₂²	1	1	yes	characteristic, complemented
120	C₂×#123×C₇₉	C₂²	1	2	yes	complemented
121	C₂×#121×C₇₉	C₂²	1	2	yes	—
122	C₂×#121×C₇₉	C₂²	1	2	yes	complemented
123	C₂×#120×C₇₉	C₂²	1	2	yes	—
124	C₂×#120×C₇₉	C₂²	1	1	yes	characteristic
125	C₂×#120×C₇₉	C₂²	1	1	yes	characteristic, complemented
126	C₂²×C₂²⋊C₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
127	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic
128	C₂×#11929623	—	4	8	no	—
129	C₂×#11929623	C₂³	1	16	yes	—
130	C₂²×Dic₁₅₈	—	4	4	no	—
131	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
132	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
133	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
134	C₂²×Dic₁₅₈	C₂³	1	2	yes	—
135	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
136	C₂²×Dic₁₅₈	C₂³	1	8	yes	complemented
137	C₂²×C₂²⋊D₇₉	—	4	4	no	—
138	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
139	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
140	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
141	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
142	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
143	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
144	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
145	C₂³×Dic₇₉	C₂³	1	2	yes	—
146	C₂³×Dic₇₉	C₂³	1	2	yes	—
147	C₂³×Dic₇₉	C₂³	1	2	yes	—
148	C₂³×Dic₇₉	C₂³	1	2	yes	—
149	C₂³×Dic₇₉	C₂³	1	2	yes	—
150	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
151	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
152	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
153	#14579160	C₂³	1	16	yes	complemented
154	#14579160	C₂³	1	16	yes	complemented
155	#14579156	C₂³	1	16	yes	complemented
156	#14579154	C₂³	1	16	yes	complemented
157	#14579154	C₂³	1	16	yes	complemented
158	#14579154	C₂³	1	16	yes	complemented
159	#14579154	C₂³	1	16	yes	complemented
160	#14579154	C₂³	1	16	yes	complemented
161	#14579151	C₂³	1	16	yes	complemented
162	#14579148	C₂³	1	8	yes	—
163	#14579148	C₂³	1	8	yes	—
164	#14579148	C₂³	1	16	yes	complemented
165	#14579148	C₂³	1	16	yes	complemented
166	#14579148	C₂³	1	16	yes	complemented
167	#14579148	C₂³	1	16	yes	complemented
168	#14579148	C₂³	1	8	yes	complemented
169	#14579148	C₂³	1	8	yes	complemented
170	#14579147	C₂³	1	16	yes	complemented
171	#14579147	C₂³	1	16	yes	complemented
172	#14579147	C₂³	1	16	yes	complemented
173	#14579147	C₂³	1	16	yes	complemented
174	#14579147	C₂³	1	16	yes	complemented
175	#14579145	C₂³	1	16	yes	complemented
176	#14579144	C₂³	1	16	yes	complemented
177	#14579144	C₂³	1	16	yes	complemented
178	#14579143	C₂³	1	16	yes	complemented
179	#14579143	C₂³	1	16	yes	complemented
180	#14579142	C₂³	1	8	yes	—
181	#14579142	C₂³	1	16	yes	complemented
182	#14579142	C₂³	1	16	yes	complemented
183	#14579142	C₂³	1	8	yes	complemented
184	#14579142	C₂³	1	16	yes	complemented
185	#14579142	C₂³	1	16	yes	complemented
186	#14579140	C₂³	1	16	yes	complemented
187	#14579140	C₂³	1	16	yes	complemented
188	#14579139	C₂³	1	16	yes	complemented
189	#14579139	C₂³	1	16	yes	complemented
190	#14579138	C₂³	1	16	yes	complemented
191	#14579138	C₂³	1	16	yes	complemented
192	#14579138	C₂³	1	16	yes	complemented
193	#14579138	C₂³	1	16	yes	complemented
194	#14579138	C₂³	1	16	yes	complemented
195	#14579133	C₂³	1	16	yes	—
196	#14579133	C₂³	1	16	yes	—
197	#14579133	C₂³	1	16	yes	complemented
198	#14579133	C₂³	1	16	yes	complemented
199	#14579133	C₂³	1	16	yes	complemented
200	#14579132	C₂³	1	16	yes	complemented
201	#14579132	C₂³	1	16	yes	complemented
202	#14579130	C₂³	1	16	yes	—
203	#14579130	C₂³	1	16	yes	complemented
204	#14579129	C₂³	1	8	yes	—
205	#14579129	C₂³	1	8	yes	complemented
206	#14579129	C₂³	1	16	yes	complemented
207	#14579126	C₂³	1	16	yes	complemented
208	D₄×Dic₇₉	C₂³	1	16	yes	complemented
209	D₄×Dic₇₉	C₂³	1	16	yes	complemented
210	D₄×Dic₇₉	C₂³	1	16	yes	complemented
211	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
212	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
213	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
214	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
215	#14579120	C₂³	1	16	yes	complemented
216	#14579119	C₂³	1	16	yes	complemented
217	#14579117	C₂³	1	16	yes	complemented
218	#14579117	C₂³	1	16	yes	complemented
219	#14579117	C₂³	1	16	yes	complemented
220	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
221	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
222	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
223	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	—
224	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
225	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
226	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
227	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
228	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
229	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
230	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
231	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
232	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
233	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
234	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
235	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
236	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
237	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
238	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
239	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
240	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
242	C₂×C₂²⋊Dic₇₉	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
244	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
245	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
246	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
247	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
248	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
249	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
250	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
251	C₂×C₂²⋊Dic₇₉	C₂³	1	16	yes	complemented
252	C₂×C₂²⋊Dic₇₉	C₂³	1	16	yes	complemented
253	C₂×C₂²⋊Dic₇₉	C₂³	1	16	yes	complemented
254	C₂×C₂²⋊Dic₇₉	C₂³	1	8	yes	complemented
255	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
256	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
257	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
258	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
259	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
260	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
261	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
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	2	yes	—
268	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
269	C₂×C₄×Dic₇₉	C₂³	1	8	yes	complemented
270	C₂⁵×C₇₉	C₂³	1	1	yes	characteristic
271	C₂⁵×C₇₉	C₂³	1	1	yes	characteristic
272	C₂⁵×C₇₉	C₂³	1	1	yes	characteristic
273	C₂²×D₄×C₇₉	—	4	4	no	—
274	C₂²×D₄×C₇₉	—	4	4	no	—
275	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
276	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
277	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
278	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
279	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
280	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
281	C₂²×D₄×C₇₉	C₂³	1	2	yes	—
282	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
283	C₂²×D₄×C₇₉	C₂³	1	8	yes	—
284	C₂²×D₄×C₇₉	C₂³	1	8	yes	complemented
285	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
286	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
287	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
288	#123×C₇₉	C₂³	1	8	yes	—
289	#123×C₇₉	C₂³	1	8	yes	complemented
290	#123×C₇₉	C₂³	1	16	yes	complemented
291	#121×C₇₉	C₂³	1	16	yes	—
292	#121×C₇₉	C₂³	1	16	yes	complemented
293	#120×C₇₉	C₂³	1	16	yes	—
294	#120×C₇₉	C₂³	1	8	yes	—
295	#120×C₇₉	C₂³	1	8	yes	complemented
296	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
297	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
298	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
299	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
302	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
303	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
304	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
305	C₂×C₂²⋊C₄×C₇₉	C₂³	1	8	yes	complemented
306	C₂³×D₇₉	—	4	4	no	—
307	C₂³×D₇₉	—	4	2	no	—
308	C₂³×D₇₉	C₂⁴	1	2	yes	—
309	C₂³×D₇₉	C₂⁴	1	4	yes	—
310	#11929623	—	4	32	no	—
311	C₂×Dic₁₅₈	—	4	2	no	—
312	C₂×Dic₁₅₈	—	4	4	no	—
313	C₂×Dic₁₅₈	—	4	2	no	—
314	C₂×Dic₁₅₈	—	4	16	no	—
315	C₂×Dic₁₅₈	—	4	4	no	—
316	C₂×Dic₁₅₈	—	4	4	no	—
317	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
318	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
319	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
320	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
321	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
322	C₂×C₂²⋊D₇₉	—	2	8	no	—
323	C₂×C₂²⋊D₇₉	—	4	16	no	—
324	C₂×C₂²⋊D₇₉	—	4	4	no	—
325	C₂×C₂²⋊D₇₉	—	4	4	no	—
326	C₂×C₂²⋊D₇₉	—	4	4	no	—
327	C₂×C₂²⋊D₇₉	—	4	4	no	—
328	C₂×C₂²⋊D₇₉	—	4	4	no	—
329	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
330	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
331	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
332	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
333	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
334	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
335	C₂²×Dic₇₉	—	2	8	no	—
336	C₂²×Dic₇₉	—	4	4	no	—
337	C₂²×Dic₇₉	—	4	4	no	—
338	C₂²×Dic₇₉	—	4	4	no	—
339	C₂²×Dic₇₉	—	4	4	no	—
340	C₂²×Dic₇₉	—	4	2	no	—
341	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
342	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
343	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
344	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
345	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
346	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
347	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
348	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
349	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
350	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
351	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
352	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
353	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
354	C₂×C₄×D₇₉	—	4	4	no	—
355	C₂×C₄×D₇₉	—	4	4	no	—
356	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
357	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
358	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
359	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
360	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
361	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
362	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
363	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
364	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
365	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
366	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
367	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
368	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
369	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
370	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
371	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
372	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
373	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
374	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
375	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
376	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
377	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
378	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
379	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
380	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
381	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
382	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
383	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
384	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
385	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
386	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
387	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
388	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
389	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
390	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
391	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
392	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
393	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
394	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
395	C₄×Dic₇₉	C₂⁴	1	4	yes	—
396	C₄×Dic₇₉	C₂⁴	1	8	yes	—
397	C₄×Dic₇₉	C₂⁴	1	4	yes	—
398	C₄×Dic₇₉	C₂⁴	1	8	yes	—
399	C₄×Dic₇₉	C₂⁴	1	8	yes	—
400	C₄×Dic₇₉	C₂⁴	1	8	yes	—
401	C₄×Dic₇₉	C₂⁴	1	8	yes	—
402	C₂⁴×C₇₉	—	2	4	no	—
403	C₂⁴×C₇₉	—	2	4	no	—
404	C₂⁴×C₇₉	—	4	2	no	—
405	C₂⁴×C₇₉	—	4	4	no	—
406	C₂⁴×C₇₉	—	4	4	no	—
407	C₂⁴×C₇₉	—	4	4	no	—
408	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
409	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
410	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
411	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
412	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
413	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
414	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
415	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
416	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
417	C₂×D₄×C₇₉	—	2	8	no	—
418	C₂×D₄×C₇₉	—	4	4	no	—
419	C₂×D₄×C₇₉	—	4	2	no	—
420	C₂×D₄×C₇₉	—	4	2	no	—
421	C₂×D₄×C₇₉	—	4	2	no	—
422	C₂×D₄×C₇₉	—	4	2	no	—
423	C₂×D₄×C₇₉	—	4	16	no	—
424	C₂×D₄×C₇₉	—	4	4	no	—
425	C₂×D₄×C₇₉	—	4	4	no	—
426	C₂×D₄×C₇₉	—	4	16	no	—
427	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
428	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
429	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
430	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
431	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
432	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
433	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
434	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
435	C₂²×C₄×C₇₉	—	2	4	no	—
436	C₂²×C₄×C₇₉	—	4	4	no	—
437	C₂²×C₄×C₇₉	—	4	2	no	—
438	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
441	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
442	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
443	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
444	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
445	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
446	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
447	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
448	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
449	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
450	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
451	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
452	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
453	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
454	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
455	C₂³×C₇₉	—	2	4	no	—
456	C₂³×C₇₉	—	2	4	no	—
457	C₂³×C₇₉	—	2	2	no	—
458	C₂³×C₇₉	—	2	2	no	—
459	C₂³×C₇₉	—	2	2	no	—
460	C₂³×C₇₉	—	2	2	no	—
461	C₂³×C₇₉	—	2	4	no	—
462	C₂³×C₇₉	—	2	4	no	—
463	C₂³×C₇₉	—	2	4	no	—
464	C₂³×C₇₉	—	2	4	no	—
465	C₂³×C₇₉	—	2	4	no	—
466	C₂³×C₇₉	—	2	4	no	—
467	C₂³×C₇₉	—	2	8	no	—
468	C₂³×C₇₉	—	2	8	no	—
469	C₂³×C₇₉	—	4	4	no	—
470	C₂³×C₇₉	—	4	8	no	—
471	C₂³×C₇₉	—	4	8	no	—
472	C₂³×C₇₉	—	4	8	no	—
473	C₂³×C₇₉	—	8	8	no	—
474	C₂³×C₇₉	—	8	8	no	—
475	C₂³×C₇₉	—	8	8	no	—
476	C₂³×C₇₉	H(5,𝔽₂)	1	4	yes	—
477	C₂³×C₇₉	C₂⁵	1	2	yes	—
478	C₂³×C₇₉	C₂⁵	1	2	yes	—
479	C₂³×C₇₉	C₂⁵	1	2	yes	—
480	C₂³×C₇₉	C₂⁵	1	2	yes	—
481	C₂³×C₇₉	C₂⁵	1	4	yes	—
482	C₂³×C₇₉	C₂⁵	1	2	yes	—
483	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
484	C₂²×D₇₉	—	2	4	no	—
485	C₂²×D₇₉	—	2	4	no	—
486	C₂²×D₇₉	—	2	4	no	—
487	C₂²×D₇₉	—	4	4	no	—
488	C₂²×D₇₉	—	4	8	no	—
489	C₂²×D₇₉	—	8	8	no	—
490	C₂²×D₇₉	C₂⁵	1	4	yes	—
491	D₄×C₇₉	—	2	16	no	—
492	D₄×C₇₉	—	4	4	no	—
493	D₄×C₇₉	—	4	4	no	—
494	D₄×C₇₉	—	4	4	no	—
495	D₄×C₇₉	—	4	4	no	—
496	D₄×C₇₉	—	4	8	no	—
497	D₄×C₇₉	—	4	8	no	—
498	D₄×C₇₉	—	4	8	no	—
499	C₂×C₄×C₇₉	—	2	4	no	—
500	C₂×C₄×C₇₉	—	2	8	no	—
501	C₂×C₄×C₇₉	—	2	2	no	—
502	C₂×C₄×C₇₉	—	2	2	no	—
503	C₂×C₄×C₇₉	—	2	4	no	—
504	C₂×C₄×C₇₉	—	2	4	no	—
505	C₂×C₄×C₇₉	—	4	8	no	—
506	C₂×C₄×C₇₉	—	4	4	no	—
507	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
508	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
509	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
510	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
511	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
512	C₂²⋊D₇₉	—	2	16	no	—
513	C₂²⋊D₇₉	—	4	8	no	—
514	C₂²⋊D₇₉	—	4	8	no	—
515	C₂²⋊D₇₉	—	4	8	no	—
516	C₂²⋊D₇₉	—	4	8	no	—
517	C₂²⋊D₇₉	—	4	8	no	—
518	C₂×Dic₇₉	—	2	4	no	—
519	C₂×Dic₇₉	—	2	4	no	—
520	C₂×Dic₇₉	—	2	16	no	—
521	C₂×Dic₇₉	—	2	4	no	—
522	C₂×Dic₇₉	—	2	4	no	—
523	C₂×Dic₇₉	—	2	4	no	—
524	C₂×Dic₇₉	—	2	4	no	—
525	C₂×Dic₇₉	—	2	4	no	—
526	C₂×Dic₇₉	—	4	8	no	—
527	C₂×Dic₇₉	—	4	8	no	—
528	C₂×Dic₇₉	—	4	8	no	—
529	C₂×Dic₇₉	—	4	4	no	—
530	C₂×Dic₇₉	—	4	8	no	—
531	C₂×Dic₇₉	C₂⁵	1	4	yes	—
532	C₂×Dic₇₉	C₂⁵	1	4	yes	—
533	C₂×Dic₇₉	C₂⁵	1	4	yes	—
534	C₂×Dic₇₉	C₂⁵	1	4	yes	—
535	C₂×Dic₇₉	C₂⁵	1	4	yes	—
536	C₂×Dic₇₉	C₂⁵	1	4	yes	—
537	C₂×Dic₇₉	C₂⁵	1	4	yes	—
538	C₄×D₇₉	—	4	8	no	—
539	C₄×D₇₉	—	4	8	no	—
540	Dic₁₅₈	—	4	4	no	—
541	Dic₁₅₈	—	4	8	no	—
542	Dic₁₅₈	—	4	4	no	—
543	Dic₁₅₈	—	4	8	no	—
544	Dic₁₅₈	—	4	8	no	—
545	C₂²×C₇₉	—	2	4	no	—
546	C₂²×C₇₉	—	2	8	no	—
547	C₂²×C₇₉	—	2	2	no	—
548	C₂²×C₇₉	—	2	4	no	—
549	C₂²×C₇₉	—	2	2	no	—
550	C₂²×C₇₉	—	2	2	no	—
551	C₂²×C₇₉	—	2	2	no	—
552	C₂²×C₇₉	—	2	4	no	—
553	C₂²×C₇₉	—	2	4	no	—
554	C₂²×C₇₉	—	2	4	no	—
555	C₂²×C₇₉	—	2	4	no	—
556	C₂²×C₇₉	—	2	4	no	—
557	C₂²×C₇₉	—	2	4	no	—
558	C₂²×C₇₉	—	4	4	no	—
559	C₂²×C₇₉	—	4	8	no	—
560	C₂²×C₇₉	—	4	4	no	—
561	C₂²×C₇₉	—	4	4	no	—
562	C₂²×C₇₉	—	4	4	no	—
563	C₂²×C₇₉	—	8	8	no	—
564	C₂²×C₇₉	—	8	8	no	—
565	C₂²×C₇₉	—	8	8	no	—
566	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
567	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	2	yes	—
568	C₂²×C₇₉	#585	1	4	yes	—
569	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
570	C₂×D₇₉	—	2	4	no	—
571	C₂×D₇₉	—	2	4	no	—
572	C₂×D₇₉	—	2	4	no	—
573	C₂×D₇₉	—	4	8	no	—
574	C₂×D₇₉	—	8	8	no	—
575	C₄×C₇₉	—	2	2	no	—
576	C₄×C₇₉	—	2	2	no	—
577	C₄×C₇₉	—	2	4	no	—
578	C₄×C₇₉	—	2	4	no	—
579	C₄×C₇₉	—	2	4	no	—
580	Dic₇₉	—	2	4	no	—
581	Dic₇₉	—	2	4	no	—
582	Dic₇₉	—	2	4	no	—
583	Dic₇₉	—	2	4	no	—
584	Dic₇₉	—	2	4	no	—
585	Dic₇₉	—	2	4	no	—
586	Dic₇₉	—	2	4	no	—
587	C₂×#3545	—	79	1	no	maximal, Sylow
588	C₂×C₇₉	—	2	4	no	—
589	C₂×C₇₉	—	4	2	no	—
590	C₂×C₇₉	—	4	2	no	—
591	C₂×C₇₉	—	4	4	no	—
592	C₂×C₇₉	—	4	2	no	—
593	C₂×C₇₉	—	4	2	no	—
594	C₂×C₇₉	#3545	1	4	yes	complemented
595	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
596	C₂×C₇₉	C₂×#585	1	2	yes	—
597	D₇₉	—	4	4	no	—
598	#3545	—	79	32	no	—
599	C₂×#563	—	79	1	no	—
600	C₂×#562	—	79	2	no	—
601	C₂×H(3,𝔽₄)	—	79	1	no	—
602	C₂×#555	—	79	2	no	—
603	C₂×#551	—	79	1	no	—
604	C₂×#551	—	79	2	no	—
605	C₂×#551	—	79	1	no	—
606	C₂×#551	—	79	2	no	—
607	C₂×#546	—	79	2	no	—
608	C₂×#546	—	79	2	no	—
609	C₂×#542	—	79	2	no	—
610	C₂×#542	—	79	2	no	—
611	C₂×#538	—	79	2	no	—
612	C₂×#538	—	79	2	no	—
613	C₂×#536	—	79	2	no	—
614	C₂×#534	—	79	1	no	—
615	C₂×#534	D₇₉	1	1	yes	characteristic, complemented
616	C₂×#529	—	79	2	no	—
617	C₂²×#124	—	79	1	no	—
618	C₇₉	C₂×#3545	1	1	yes	characteristic, complemented, Sylow
619	C₂²×#41	—	79	2	no	—
620	C₂³×Q₈	—	79	1	no	—
621	C₂³×D₄	—	79	1	no	—
622	C₂³×D₄	C₂×D₇₉	1	1	yes	characteristic
623	C₂³×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
624	#563	—	79	16	no	—
625	#562	—	79	32	no	—
626	H(3,𝔽₄)	—	79	16	no	—
627	#555	—	79	32	no	—
628	#551	—	79	16	no	—
629	#551	—	79	32	no	—
630	#551	—	79	16	no	—
631	#551	—	79	32	no	—
632	#546	—	79	32	no	—
633	#546	—	79	32	no	—
634	#542	—	79	32	no	—
635	#542	—	79	32	no	—
636	#538	—	79	32	no	—
637	#538	—	79	32	no	—
638	#536	—	79	32	no	—
639	#534	—	79	16	no	—
640	#534	C₂×D₇₉	1	16	yes	complemented
641	C₂×C₄⋊Q₈	—	79	2	no	—
642	C₂×C₄⋊Q₈	—	79	2	no	—
643	#529	—	79	32	no	—
644	C₂×#126	—	79	2	no	—
645	C₂×#126	—	79	2	no	—
646	C₂×#126	—	79	2	no	—
647	C₂×#126	—	79	2	no	—
648	C₂×#126	—	79	2	no	—
649	C₂×#126	—	79	2	no	—
650	C₂×#125	—	79	2	no	—
651	C₂×#124	—	79	2	no	—
652	C₂×#124	—	79	2	no	—
653	C₂×#124	—	79	1	no	—
654	C₂×#124	—	79	1	no	—
655	C₂×#124	—	79	1	no	—
656	C₂×#124	—	79	1	no	—
657	C₂×#124	—	79	16	no	—
658	C₂×#124	—	79	2	no	—
659	C₂×#124	—	79	2	no	—
660	C₂×#124	—	79	2	no	—
661	C₂×#124	—	79	2	no	—
662	C₂×#124	—	79	2	no	—
663	C₂×#124	—	79	2	no	—
664	C₂×#124	—	79	2	no	—
665	C₂×#123	—	79	1	no	—
666	C₂×#123	—	79	1	no	—
667	C₂×#123	—	79	2	no	—
668	C₂×#123	—	79	2	no	—
669	C₂×#123	—	79	2	no	—
670	C₂×#123	—	79	2	no	—
671	C₂×#123	—	79	2	no	—
672	C₂×#123	—	79	2	no	—
673	C₂×#123	—	79	2	no	—
674	C₂×#123	—	79	2	no	—
675	C₂×#123	—	79	2	no	—
676	C₂×#123	C₂×D₇₉	1	1	yes	characteristic
677	C₂×#123	C₂×D₇₉	1	2	yes	complemented
678	C₂×#123	C₂×D₇₉	1	1	yes	characteristic, complemented
679	C₂×C₂²⋊Q₈	—	79	2	no	—
680	C₂×C₂²⋊Q₈	—	79	2	no	—
681	C₂×C₂²⋊Q₈	—	79	2	no	—
682	C₂×C₂²⋊Q₈	—	79	2	no	—
683	C₂×C₂²⋊Q₈	—	79	2	no	—
684	C₂×C₂²⋊Q₈	—	79	2	no	—
685	C₂×C₂²⋊Q₈	—	79	2	no	—
686	C₂×C₂²⋊Q₈	—	79	2	no	—
687	C₂×C₂²⋊Q₈	—	79	2	no	—
688	C₂×#121	—	79	2	no	—
689	C₂×#121	—	79	2	no	—
690	C₂×#121	—	79	2	no	—
691	C₂×#121	—	79	2	no	—
692	C₂×#121	—	79	2	no	—
693	C₂×#121	—	79	2	no	—
694	C₂×#121	—	79	2	no	—
695	C₂×#121	C₂×D₇₉	1	2	yes	—
696	C₂×#121	C₂×D₇₉	1	2	yes	complemented
697	C₂×#120	—	79	2	no	—
698	C₂×#120	—	79	2	no	—
699	C₂×#120	—	79	1	no	—
700	C₂×#120	—	79	1	no	—
701	C₂×#120	—	79	2	no	—
702	C₂×#120	C₂×D₇₉	1	2	yes	—
703	C₂×#120	C₂×D₇₉	1	1	yes	characteristic
704	C₂×#120	C₂×D₇₉	1	1	yes	characteristic, complemented
705	C₂×C₄×Q₈	—	79	2	no	—
706	C₂×C₄×D₄	—	79	2	no	—
707	C₂×C₄×D₄	—	79	2	no	—
708	C₂×C₄×D₄	—	79	2	no	—
709	C₂×C₄×D₄	—	79	2	no	—
710	C₂×C₄×D₄	—	79	2	no	—
711	C₂×C₄×D₄	—	79	2	no	—
712	C₂×C₄×D₄	—	79	2	no	—
713	C₂×#117	—	79	2	no	—
714	C₂×#117	—	79	2	no	—
715	C₂×#117	—	79	2	no	—
716	C₂×#117	—	79	2	no	—
717	C₂×#117	—	79	2	no	—
718	C₂²×C₂²⋊C₄	—	79	2	no	—
719	C₂²×C₂²⋊C₄	—	79	2	no	—
720	C₂²×C₂²⋊C₄	—	79	1	no	—
721	C₂²×C₂²⋊C₄	—	79	2	no	—
722	C₂²×C₂²⋊C₄	—	79	2	no	—
723	C₂²×C₂²⋊C₄	C₂×D₇₉	1	1	yes	characteristic, complemented
724	C₂²×C₄²	—	79	1	no	—
725	C₂⁵	—	79	1	no	—
726	C₂⁵	C₂²×D₇₉	1	1	yes	characteristic
727	C₂⁵	C₂²×D₇₉	1	1	yes	characteristic
728	C₂⁵	C₂²×D₇₉	1	1	yes	characteristic
729	C₂×#41	—	316	8	no	—
730	C₂×#41	—	79	16	no	—
731	C₂²×Q₈	—	316	4	no	—
732	C₂²×Q₈	—	79	2	no	—
733	C₂²×Q₈	—	79	1	no	—
734	C₂²×Q₈	—	79	2	no	—
735	C₂²×Q₈	—	79	2	no	—
736	C₂²×Q₈	—	79	1	no	—
737	C₂²×Q₈	—	79	8	no	—
738	C₂²×D₄	—	4	4	no	—
739	C₂²×D₄	—	4	4	no	—
740	C₂²×D₄	—	316	4	no	—
741	C₂²×D₄	—	79	2	no	—
742	C₂²×D₄	—	79	2	no	—
743	C₂²×D₄	—	79	2	no	—
744	C₂²×D₄	—	79	2	no	—
745	C₂²×D₄	—	79	2	no	—
746	C₂²×D₄	—	79	8	no	—
747	C₂²×D₄	—	79	2	no	—
748	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
749	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
750	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
751	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
752	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
753	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
754	C₂²×D₄	C₂²×D₇₉	1	2	yes	—
755	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
756	C₂²×D₄	C₂²×D₇₉	1	8	yes	—
757	C₂²×D₄	C₂²×D₇₉	1	8	yes	complemented
758	C₂³×C₄	—	79	2	no	—
759	C₂³×C₄	—	79	2	no	—
760	C₂³×C₄	—	79	2	no	—
761	C₂³×C₄	—	79	2	no	—
762	C₂³×C₄	—	79	1	no	—
763	C₂³×C₄	—	79	2	no	—
764	C₂³×C₄	—	79	2	no	—
765	C₂³×C₄	—	79	2	no	—
766	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
767	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
768	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
769	C₄⋊Q₈	—	79	16	no	—
770	C₄⋊Q₈	—	79	16	no	—
771	#126	—	79	16	no	—
772	#126	—	79	16	no	—
773	#126	—	79	16	no	—
774	#126	—	79	16	no	—
775	#126	—	79	16	no	—
776	#126	—	79	16	no	—
777	#125	—	79	16	no	—
778	#124	—	79	16	no	—
779	#124	—	79	16	no	—
780	#124	—	79	8	no	—
781	#124	—	79	8	no	—
782	#124	—	79	8	no	—
783	#124	—	79	8	no	—
784	#124	—	79	16	no	—
785	#124	—	79	16	no	—
786	#124	—	79	16	no	—
787	#124	—	79	16	no	—
788	#124	—	79	16	no	—
789	#124	—	79	16	no	—
790	#124	—	79	16	no	—
791	#123	—	79	8	no	—
792	#123	—	79	8	no	—
793	#123	—	79	16	no	—
794	#123	—	79	16	no	—
795	#123	—	79	16	no	—
796	#123	—	79	16	no	—
797	#123	—	79	16	no	—
798	#123	—	79	16	no	—
799	#123	—	79	16	no	—
800	#123	—	79	16	no	—
801	#123	—	79	16	no	—
802	#123	C₂²×D₇₉	1	8	yes	—
803	#123	C₂²×D₇₉	1	16	yes	complemented
804	#123	C₂²×D₇₉	1	8	yes	complemented
805	C₂²⋊Q₈	—	79	16	no	—
806	C₂²⋊Q₈	—	79	16	no	—
807	C₂²⋊Q₈	—	79	16	no	—
808	C₂²⋊Q₈	—	79	16	no	—
809	C₂²⋊Q₈	—	79	16	no	—
810	C₂²⋊Q₈	—	79	16	no	—
811	C₂²⋊Q₈	—	79	16	no	—
812	C₂²⋊Q₈	—	79	16	no	—
813	C₂²⋊Q₈	—	79	16	no	—
814	#121	—	79	16	no	—
815	#121	—	79	16	no	—
816	#121	—	79	16	no	—
817	#121	—	79	16	no	—
818	#121	—	79	16	no	—
819	#121	—	79	16	no	—
820	#121	—	79	16	no	—
821	#121	C₂²×D₇₉	1	16	yes	—
822	#121	C₂²×D₇₉	1	16	yes	complemented
823	#120	—	79	16	no	—
824	#120	—	79	16	no	—
825	#120	—	79	8	no	—
826	#120	—	79	8	no	—
827	#120	—	79	16	no	—
828	#120	C₂²×D₇₉	1	16	yes	—
829	#120	C₂²×D₇₉	1	8	yes	—
830	#120	C₂²×D₇₉	1	8	yes	complemented
831	C₄×Q₈	—	79	16	no	—
832	C₄×D₄	—	79	16	no	—
833	C₄×D₄	—	79	16	no	—
834	C₄×D₄	—	79	16	no	—
835	C₄×D₄	—	79	16	no	—
836	C₄×D₄	—	79	16	no	—
837	C₄×D₄	—	79	16	no	—
838	C₄×D₄	—	79	16	no	—
839	#117	—	79	16	no	—
840	#117	—	79	16	no	—
841	#117	—	79	16	no	—
842	#117	—	79	16	no	—
843	#117	—	79	16	no	—
844	C₂×C₄⋊C₄	—	79	2	no	—
845	C₂×C₄⋊C₄	—	79	2	no	—
846	C₂×C₄⋊C₄	—	79	2	no	—
847	C₂×C₄⋊C₄	—	79	2	no	—
848	C₂×C₄⋊C₄	—	79	2	no	—
849	C₂×C₄⋊C₄	—	79	2	no	—
850	C₂×C₄⋊C₄	—	79	2	no	—
851	C₂×C₄⋊C₄	—	79	2	no	—
852	C₂×C₄⋊C₄	—	79	2	no	—
853	C₂×C₄⋊C₄	—	79	2	no	—
854	C₂×C₄⋊C₄	—	79	2	no	—
855	C₂×C₄⋊C₄	—	79	2	no	—
856	C₂×C₄⋊C₄	—	79	2	no	—
857	C₂×C₄⋊C₄	—	79	2	no	—
858	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
859	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
860	C₂×C₂²⋊C₄	—	79	2	no	—
861	C₂×C₂²⋊C₄	—	79	2	no	—
862	C₂×C₂²⋊C₄	—	79	2	no	—
863	C₂×C₂²⋊C₄	—	79	2	no	—
864	C₂×C₂²⋊C₄	—	79	2	no	—
865	C₂×C₂²⋊C₄	—	79	2	no	—
866	C₂×C₂²⋊C₄	—	79	2	no	—
867	C₂×C₂²⋊C₄	—	79	2	no	—
868	C₂×C₂²⋊C₄	—	79	2	no	—
869	C₂×C₂²⋊C₄	—	79	1	no	—
870	C₂×C₂²⋊C₄	—	79	1	no	—
871	C₂×C₂²⋊C₄	—	79	2	no	—
872	C₂×C₂²⋊C₄	—	79	2	no	—
873	C₂×C₂²⋊C₄	—	79	2	no	—
874	C₂×C₂²⋊C₄	—	79	16	no	—
875	C₂×C₂²⋊C₄	—	79	16	no	—
876	C₂×C₂²⋊C₄	—	79	8	no	—
877	C₂×C₂²⋊C₄	—	79	16	no	—
878	C₂×C₂²⋊C₄	—	79	2	no	—
879	C₂×C₂²⋊C₄	—	79	2	no	—
880	C₂×C₂²⋊C₄	—	79	2	no	—
881	C₂×C₂²⋊C₄	—	79	2	no	—
882	C₂×C₂²⋊C₄	—	79	2	no	—
883	C₂×C₂²⋊C₄	—	79	2	no	—
884	C₂×C₂²⋊C₄	—	79	2	no	—
885	C₂×C₂²⋊C₄	—	79	2	no	—
886	C₂×C₂²⋊C₄	—	79	2	no	—
887	C₂×C₂²⋊C₄	—	79	16	no	—
888	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
889	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
890	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
891	C₂×C₂²⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
892	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
893	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
894	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
895	C₂×C₂²⋊C₄	C₂²×D₇₉	1	8	yes	complemented
896	C₂×C₄²	—	79	1	no	—
897	C₂×C₄²	—	79	2	no	—
898	C₂×C₄²	—	79	2	no	—
899	C₂×C₄²	—	79	2	no	—
900	C₂×C₄²	—	79	2	no	—
901	C₂×C₄²	—	79	2	no	—
902	C₂×C₄²	—	79	1	no	—
903	C₂×C₄²	—	79	8	no	—
904	C₂⁴	—	2	4	no	—
905	C₂⁴	—	2	4	no	—
906	C₂⁴	—	4	2	no	—
907	C₂⁴	—	4	4	no	—
908	C₂⁴	—	4	4	no	—
909	C₂⁴	—	4	4	no	—
910	C₂⁴	—	316	2	no	—
911	C₂⁴	—	316	4	no	—
912	C₂⁴	—	79	4	no	—
913	C₂⁴	—	79	2	no	—
914	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
915	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
916	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
917	C₂⁴	C₂³×D₇₉	1	2	yes	—
918	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
919	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
920	C₂⁴	C₂³×D₇₉	1	4	yes	—
921	C₂⁴	C₂³×D₇₉	1	4	yes	—
922	C₂⁴	C₂³×D₇₉	1	4	yes	—
923	#41	—	316	32	no	—
924	C₂×Q₈	—	316	2	no	—
925	C₂×Q₈	—	316	4	no	—
926	C₂×Q₈	—	316	2	no	—
927	C₂×Q₈	—	316	16	no	—
928	C₂×Q₈	—	316	4	no	—
929	C₂×Q₈	—	316	4	no	—
930	C₂×Q₈	—	79	8	no	—
931	C₂×Q₈	—	79	4	no	—
932	C₂×Q₈	—	79	8	no	—
933	C₂×Q₈	—	79	8	no	—
934	C₂×Q₈	—	79	4	no	—
935	C₂×D₄	—	2	8	no	—
936	C₂×D₄	—	4	2	no	—
937	C₂×D₄	—	4	2	no	—
938	C₂×D₄	—	4	2	no	—
939	C₂×D₄	—	4	2	no	—
940	C₂×D₄	—	4	16	no	—
941	C₂×D₄	—	4	4	no	—
942	C₂×D₄	—	4	4	no	—
943	C₂×D₄	—	4	4	no	—
944	C₂×D₄	—	4	16	no	—
945	C₂×D₄	—	316	16	no	—
946	C₂×D₄	—	316	4	no	—
947	C₂×D₄	—	316	4	no	—
948	C₂×D₄	—	316	4	no	—
949	C₂×D₄	—	316	4	no	—
950	C₂×D₄	—	316	4	no	—
951	C₂×D₄	—	79	8	no	—
952	C₂×D₄	—	79	8	no	—
953	C₂×D₄	—	79	8	no	—
954	C₂×D₄	—	79	8	no	—
955	C₂×D₄	—	79	8	no	—
956	C₂×D₄	—	79	8	no	—
957	C₂×D₄	—	158	8	no	—
958	C₂×D₄	C₂³×D₇₉	1	8	yes	—
959	C₂×D₄	C₂³×D₇₉	1	8	yes	—
960	C₂×D₄	C₂³×D₇₉	1	8	yes	—
961	C₂×D₄	C₂³×D₇₉	1	4	yes	—
962	C₂×D₄	C₂³×D₇₉	1	4	yes	—
963	C₂×D₄	C₂³×D₇₉	1	4	yes	—
964	C₂×D₄	C₂³×D₇₉	1	8	yes	—
965	C₂×D₄	C₂³×D₇₉	1	4	yes	—
966	C₂²×C₄	—	2	4	no	—
967	C₂²×C₄	—	4	2	no	—
968	C₂²×C₄	—	4	4	no	—
969	C₂²×C₄	—	316	4	no	—
970	C₂²×C₄	—	316	4	no	—
971	C₂²×C₄	—	316	4	no	—
972	C₂²×C₄	—	316	4	no	—
973	C₂²×C₄	—	316	4	no	—
974	C₂²×C₄	—	316	2	no	—
975	C₂²×C₄	—	316	4	no	—
976	C₂²×C₄	—	79	8	no	—
977	C₂²×C₄	—	79	8	no	—
978	C₂²×C₄	—	79	8	no	—
979	C₂²×C₄	—	79	8	no	—
980	C₂²×C₄	—	79	4	no	—
981	C₂²×C₄	—	79	8	no	—
982	C₂²×C₄	—	79	8	no	—
983	C₂²×C₄	—	79	8	no	—
984	C₂²×C₄	—	79	2	no	—
985	C₂²×C₄	—	79	2	no	—
986	C₂²×C₄	—	79	2	no	—
987	C₂²×C₄	—	79	2	no	—
988	C₂²×C₄	—	79	2	no	—
989	C₂²×C₄	—	79	2	no	—
990	C₂²×C₄	—	79	2	no	—
991	C₂²×C₄	—	158	8	no	—
992	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
993	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
994	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
995	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
996	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
997	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
998	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
999	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1000	C₄⋊C₄	—	79	8	no	—
1001	C₄⋊C₄	—	79	8	no	—
1002	C₄⋊C₄	—	79	8	no	—
1003	C₄⋊C₄	—	79	8	no	—
1004	C₄⋊C₄	—	79	8	no	—
1005	C₄⋊C₄	—	79	8	no	—
1006	C₄⋊C₄	—	79	8	no	—
1007	C₄⋊C₄	—	79	8	no	—
1008	C₄⋊C₄	—	79	8	no	—
1009	C₄⋊C₄	—	79	8	no	—
1010	C₄⋊C₄	—	79	8	no	—
1011	C₄⋊C₄	—	79	8	no	—
1012	C₄⋊C₄	—	79	8	no	—
1013	C₄⋊C₄	—	79	8	no	—
1014	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1015	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1016	C₂²⋊C₄	—	79	8	no	—
1017	C₂²⋊C₄	—	79	8	no	—
1018	C₂²⋊C₄	—	79	8	no	—
1019	C₂²⋊C₄	—	79	8	no	—
1020	C₂²⋊C₄	—	79	8	no	—
1021	C₂²⋊C₄	—	79	8	no	—
1022	C₂²⋊C₄	—	79	8	no	—
1023	C₂²⋊C₄	—	79	8	no	—
1024	C₂²⋊C₄	—	79	8	no	—
1025	C₂²⋊C₄	—	79	4	no	—
1026	C₂²⋊C₄	—	79	4	no	—
1027	C₂²⋊C₄	—	79	8	no	—
1028	C₂²⋊C₄	—	79	8	no	—
1029	C₂²⋊C₄	—	79	8	no	—
1030	C₂²⋊C₄	—	79	8	no	—
1031	C₂²⋊C₄	—	79	8	no	—
1032	C₂²⋊C₄	—	79	8	no	—
1033	C₂²⋊C₄	—	79	8	no	—
1034	C₂²⋊C₄	—	79	8	no	—
1035	C₂²⋊C₄	—	79	8	no	—
1036	C₂²⋊C₄	—	79	8	no	—
1037	C₂²⋊C₄	—	79	8	no	—
1038	C₂²⋊C₄	—	79	8	no	—
1039	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1040	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1041	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1042	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1043	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1044	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1045	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1046	C₄²	—	79	4	no	—
1047	C₄²	—	79	8	no	—
1048	C₄²	—	79	4	no	—
1049	C₄²	—	79	8	no	—
1050	C₄²	—	79	8	no	—
1051	C₄²	—	79	8	no	—
1052	C₄²	—	79	8	no	—
1053	C₂³	—	2	4	no	—
1054	C₂³	—	2	2	no	—
1055	C₂³	—	2	4	no	—
1056	C₂³	—	2	2	no	—
1057	C₂³	—	2	2	no	—
1058	C₂³	—	2	2	no	—
1059	C₂³	—	2	4	no	—
1060	C₂³	—	2	4	no	—
1061	C₂³	—	2	4	no	—
1062	C₂³	—	2	4	no	—
1063	C₂³	—	2	4	no	—
1064	C₂³	—	2	4	no	—
1065	C₂³	—	2	8	no	—
1066	C₂³	—	2	8	no	—
1067	C₂³	—	4	4	no	—
1068	C₂³	—	4	8	no	—
1069	C₂³	—	4	8	no	—
1070	C₂³	—	4	8	no	—
1071	C₂³	—	8	8	no	—
1072	C₂³	—	8	8	no	—
1073	C₂³	—	8	8	no	—
1074	C₂³	—	316	4	no	—
1075	C₂³	—	316	8	no	—
1076	C₂³	—	79	4	no	—
1077	C₂³	—	632	8	no	—
1078	C₂³	—	158	4	no	—
1079	C₂³	—	158	4	no	—
1080	C₂³	—	158	4	no	—
1081	C₂³	#14579206	1	4	yes	—
1082	C₂³	C₂⁴×D₇₉	1	2	yes	—
1083	C₂³	C₂⁴×D₇₉	1	2	yes	—
1084	C₂³	C₂⁴×D₇₉	1	2	yes	—
1085	C₂³	C₂⁴×D₇₉	1	4	yes	—
1086	C₂³	C₂⁴×D₇₉	1	2	yes	—
1087	C₂³	C₂⁴×D₇₉	1	2	yes	—
1088	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1089	Q₈	—	316	4	no	—
1090	Q₈	—	316	8	no	—
1091	Q₈	—	316	4	no	—
1092	Q₈	—	316	8	no	—
1093	Q₈	—	316	8	no	—
1094	D₄	—	2	16	no	—
1095	D₄	—	4	4	no	—
1096	D₄	—	4	4	no	—
1097	D₄	—	4	4	no	—
1098	D₄	—	4	4	no	—
1099	D₄	—	4	8	no	—
1100	D₄	—	4	8	no	—
1101	D₄	—	4	8	no	—
1102	D₄	—	316	8	no	—
1103	D₄	—	316	8	no	—
1104	D₄	—	316	8	no	—
1105	D₄	—	316	8	no	—
1106	D₄	—	316	8	no	—
1107	D₄	—	158	16	no	—
1108	C₂×C₄	—	2	8	no	—
1109	C₂×C₄	—	2	2	no	—
1110	C₂×C₄	—	2	2	no	—
1111	C₂×C₄	—	2	4	no	—
1112	C₂×C₄	—	2	4	no	—
1113	C₂×C₄	—	2	4	no	—
1114	C₂×C₄	—	4	8	no	—
1115	C₂×C₄	—	4	4	no	—
1116	C₂×C₄	—	316	8	no	—
1117	C₂×C₄	—	316	8	no	—
1118	C₂×C₄	—	316	4	no	—
1119	C₂×C₄	—	316	8	no	—
1120	C₂×C₄	—	316	8	no	—
1121	C₂×C₄	—	316	8	no	—
1122	C₂×C₄	—	316	8	no	—
1123	C₂×C₄	—	79	4	no	—
1124	C₂×C₄	—	79	4	no	—
1125	C₂×C₄	—	79	4	no	—
1126	C₂×C₄	—	79	4	no	—
1127	C₂×C₄	—	79	4	no	—
1128	C₂×C₄	—	79	4	no	—
1129	C₂×C₄	—	79	4	no	—
1130	C₂×C₄	—	158	4	no	—
1131	C₂×C₄	—	158	4	no	—
1132	C₂×C₄	—	158	4	no	—
1133	C₂×C₄	—	158	16	no	—
1134	C₂×C₄	—	158	4	no	—
1135	C₂×C₄	—	158	4	no	—
1136	C₂×C₄	—	158	4	no	—
1137	C₂×C₄	—	158	4	no	—
1138	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1139	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1140	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1141	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1142	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1143	C₂²	—	2	4	no	—
1144	C₂²	—	2	8	no	—
1145	C₂²	—	2	2	no	—
1146	C₂²	—	2	4	no	—
1147	C₂²	—	2	2	no	—
1148	C₂²	—	2	2	no	—
1149	C₂²	—	2	2	no	—
1150	C₂²	—	2	4	no	—
1151	C₂²	—	2	4	no	—
1152	C₂²	—	2	4	no	—
1153	C₂²	—	2	4	no	—
1154	C₂²	—	2	4	no	—
1155	C₂²	—	2	4	no	—
1156	C₂²	—	4	4	no	—
1157	C₂²	—	4	4	no	—
1158	C₂²	—	4	8	no	—
1159	C₂²	—	4	4	no	—
1160	C₂²	—	4	4	no	—
1161	C₂²	—	8	8	no	—
1162	C₂²	—	8	8	no	—
1163	C₂²	—	8	8	no	—
1164	C₂²	—	316	8	no	—
1165	C₂²	—	632	8	no	—
1166	C₂²	—	158	4	no	—
1167	C₂²	—	158	4	no	—
1168	C₂²	—	158	4	no	—
1169	C₂²	C₂×#14579206	1	4	yes	—
1170	C₂²	C₂×#14579206	1	2	yes	—
1171	C₂²	#19099398	1	4	yes	—
1172	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1173	C₄	—	2	2	no	—
1174	C₄	—	2	2	no	—
1175	C₄	—	2	4	no	—
1176	C₄	—	2	4	no	—
1177	C₄	—	2	4	no	—
1178	C₄	—	158	4	no	—
1179	C₄	—	158	4	no	—
1180	C₄	—	158	4	no	—
1181	C₄	—	158	4	no	—
1182	C₄	—	158	4	no	—
1183	C₄	—	158	4	no	—
1184	C₄	—	158	4	no	—
1185	C₂	—	2	4	no	—
1186	C₂	—	4	2	no	—
1187	C₂	—	4	2	no	—
1188	C₂	—	4	4	no	—
1189	C₂	—	4	2	no	—
1190	C₂	—	4	2	no	—
1191	C₂	—	316	4	no	—
1192	C₂	#23777749	1	4	yes	direct product factor
1193	C₂	C₂²×#14579206	1	1	yes	characteristic
1194	C₂	C₂×#19099398	1	2	yes	—

	subgroup	G/H
center	C₂³	C₂⁴×D₇₉
commutator, cosocle	C₂²×C₇₉	C₂⁶
Frattini	C₂²	C₂⁵×D₇₉
Fitting	C₂×#534×C₇₉	C₂
socle	C₂³×C₇₉	C₂⁵
hypercenter	C₂×#534	D₇₉
hypocenter	C₇₉	C₂×#3545
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×#534

Complements

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

N	H ≅ G/N	type
1. #23777749	C₂	direct (N × H)
2. C₂×#19099316	C₂	semidirect
3. C₂×#19099308	C₂	semidirect
4. C₂×#19099306	C₂	semidirect
5. C₂×#19099277	C₂	semidirect
6. C₂×#19099244	C₂	semidirect
7. C₂×#19099244	C₂	semidirect
8. C₂×#19099241	C₂	semidirect
9. C₂×#19099239	C₂	semidirect
10. C₂×#19099207	C₂	semidirect
11. C₂×#19099200	C₂	semidirect
12. C₂×#19099181	C₂	semidirect
13. C₂×#19099180	C₂	semidirect
14. C₂×#19099148	C₂	semidirect
15. C₂×#19099145	C₂	semidirect
16. C₂×#19099135	C₂	semidirect
17. C₂×#19099122	C₂	semidirect
18. C₂×#19099090	C₂	semidirect
19. C₂²×#14579148	C₂	semidirect
20. C₂×#534×C₇₉	C₂	semidirect
22. C₂³×Dic₁₅₈	C₂²	semidirect
23. C₂³×C₂²⋊D₇₉	C₂²	semidirect
24. #19099316	C₂²	semidirect
25. #19099308	C₂²	semidirect
26. #19099306	C₂²	semidirect
27. #19099277	C₂²	semidirect
28. #19099244	C₂²	semidirect
29. #19099244	C₂²	semidirect
30. #19099241	C₂²	semidirect
31. #19099239	C₂²	semidirect
32. #19099207	C₂²	semidirect
33. #19099200	C₂²	semidirect
34. #19099181	C₂²	semidirect
35. #19099180	C₂²	semidirect
36. #19099148	C₂²	semidirect
37. #19099145	C₂²	semidirect
38. #19099135	C₂²	semidirect
39. #19099122	C₂²	semidirect
40. C₂×#14579160	C₂²	semidirect
41. C₂×#14579160	C₂²	semidirect
42. #19099090	C₂²	semidirect
43. C₂×#14579156	C₂²	semidirect
44. C₂×#14579154	C₂²	semidirect
45. C₂×#14579154	C₂²	semidirect
46. C₂×#14579154	C₂²	semidirect
47. C₂×#14579154	C₂²	semidirect
48. C₂×#14579154	C₂²	semidirect
49. C₂×#14579151	C₂²	semidirect
52. C₂×#14579148	C₂²	semidirect
53. C₂×#14579148	C₂²	semidirect
54. C₂×#14579148	C₂²	semidirect
55. C₂×#14579148	C₂²	semidirect
56. C₂×#14579148	C₂²	semidirect
57. C₂×#14579148	C₂²	semidirect
58. C₂×#14579148	C₂²	semidirect
59. C₂×#14579147	C₂²	semidirect
60. C₂×#14579147	C₂²	semidirect
61. C₂×#14579147	C₂²	semidirect
62. C₂×#14579147	C₂²	semidirect
63. C₂×#14579147	C₂²	semidirect
64. C₂×#14579145	C₂²	semidirect
65. C₂×#14579144	C₂²	semidirect
66. C₂×#14579144	C₂²	semidirect
67. C₂×#14579143	C₂²	semidirect
68. C₂×#14579143	C₂²	semidirect
70. C₂×#14579142	C₂²	semidirect
71. C₂×#14579142	C₂²	semidirect
72. C₂×#14579142	C₂²	semidirect
73. C₂×#14579142	C₂²	semidirect
74. C₂×#14579142	C₂²	semidirect
75. C₂×#14579140	C₂²	semidirect
76. C₂×#14579140	C₂²	semidirect
77. C₂×#14579139	C₂²	semidirect
78. C₂×#14579139	C₂²	semidirect
79. C₂×#14579138	C₂²	semidirect
80. C₂×#14579138	C₂²	semidirect
81. C₂×#14579138	C₂²	semidirect
82. C₂×#14579138	C₂²	semidirect
83. C₂×#14579138	C₂²	semidirect
86. C₂×#14579133	C₂²	semidirect
87. C₂×#14579133	C₂²	semidirect
88. C₂×#14579133	C₂²	semidirect
89. C₂×#14579132	C₂²	semidirect
90. C₂×#14579132	C₂²	semidirect
92. C₂×#14579130	C₂²	semidirect
94. C₂×#14579129	C₂²	semidirect
95. C₂×#14579129	C₂²	semidirect
96. C₂×#14579126	C₂²	semidirect
97. C₂×D₄×Dic₇₉	C₂²	semidirect
98. C₂×D₄×Dic₇₉	C₂²	semidirect
99. C₂×D₄×Dic₇₉	C₂²	semidirect
100. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
101. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
102. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
103. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
104. C₂×#14579120	C₂²	semidirect
105. C₂×#14579119	C₂²	semidirect
106. C₂×#14579117	C₂²	semidirect
107. C₂×#14579117	C₂²	semidirect
108. C₂×#14579117	C₂²	semidirect
109. C₂²×C₂²⋊Dic₇₉	C₂²	semidirect
110. C₂²×C₂²⋊Dic₇₉	C₂²	semidirect
111. C₂²×C₂²⋊Dic₇₉	C₂²	semidirect
112. C₂²×C₂²⋊Dic₇₉	C₂²	semidirect
113. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
114. C₂²×C₄×Dic₇₉	C₂²	semidirect
116. C₂³×D₄×C₇₉	C₂²	semidirect
117. #534×C₇₉	C₂²	semidirect
119. C₂×#123×C₇₉	C₂²	semidirect
120. C₂×#123×C₇₉	C₂²	semidirect
122. C₂×#121×C₇₉	C₂²	semidirect
125. C₂×#120×C₇₉	C₂²	semidirect
126. C₂²×C₂²⋊C₄×C₇₉	C₂²	semidirect
136. C₂²×Dic₁₅₈	C₂³	semidirect
144. C₂²×C₂²⋊D₇₉	C₂³	semidirect
153. #14579160	C₂³	semidirect
154. #14579160	C₂³	semidirect
155. #14579156	C₂³	semidirect
156. #14579154	C₂³	semidirect
157. #14579154	C₂³	semidirect
158. #14579154	C₂³	semidirect
159. #14579154	C₂³	semidirect
160. #14579154	C₂³	semidirect
161. #14579151	C₂³	semidirect
164. #14579148	C₂³	semidirect
165. #14579148	C₂³	semidirect
166. #14579148	C₂³	semidirect
167. #14579148	C₂³	semidirect
168. #14579148	C₂³	semidirect
169. #14579148	C₂³	semidirect
170. #14579147	C₂³	semidirect
171. #14579147	C₂³	semidirect
172. #14579147	C₂³	semidirect
173. #14579147	C₂³	semidirect
174. #14579147	C₂³	semidirect
175. #14579145	C₂³	semidirect
176. #14579144	C₂³	semidirect
177. #14579144	C₂³	semidirect
178. #14579143	C₂³	semidirect
179. #14579143	C₂³	semidirect
181. #14579142	C₂³	semidirect
182. #14579142	C₂³	semidirect
183. #14579142	C₂³	semidirect
184. #14579142	C₂³	semidirect
185. #14579142	C₂³	semidirect
186. #14579140	C₂³	semidirect
187. #14579140	C₂³	semidirect
188. #14579139	C₂³	semidirect
189. #14579139	C₂³	semidirect
190. #14579138	C₂³	semidirect
191. #14579138	C₂³	semidirect
192. #14579138	C₂³	semidirect
193. #14579138	C₂³	semidirect
194. #14579138	C₂³	semidirect
197. #14579133	C₂³	semidirect
198. #14579133	C₂³	semidirect
199. #14579133	C₂³	semidirect
200. #14579132	C₂³	semidirect
201. #14579132	C₂³	semidirect
203. #14579130	C₂³	semidirect
205. #14579129	C₂³	semidirect
206. #14579129	C₂³	semidirect
207. #14579126	C₂³	semidirect
208. D₄×Dic₇₉	C₂³	semidirect
209. D₄×Dic₇₉	C₂³	semidirect
210. D₄×Dic₇₉	C₂³	semidirect
211. C₄×C₂²⋊D₇₉	C₂³	semidirect
212. C₄×C₂²⋊D₇₉	C₂³	semidirect
213. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
214. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
215. #14579120	C₂³	semidirect
216. #14579119	C₂³	semidirect
217. #14579117	C₂³	semidirect
218. #14579117	C₂³	semidirect
219. #14579117	C₂³	semidirect
251. C₂×C₂²⋊Dic₇₉	C₂³	semidirect
252. C₂×C₂²⋊Dic₇₉	C₂³	semidirect
253. C₂×C₂²⋊Dic₇₉	C₂³	semidirect
254. C₂×C₂²⋊Dic₇₉	C₂³	semidirect
261. C₂²⋊C₄×D₇₉	C₂³	semidirect
269. C₂×C₄×Dic₇₉	C₂³	semidirect
284. C₂²×D₄×C₇₉	C₂³	semidirect
289. #123×C₇₉	C₂³	semidirect
290. #123×C₇₉	C₂³	semidirect
292. #121×C₇₉	C₂³	semidirect
295. #120×C₇₉	C₂³	semidirect
305. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
594. C₂×C₇₉	#3545	semidirect
615. C₂×#534	D₇₉	semidirect
618. C₇₉	C₂×#3545	semidirect
623. C₂³×D₄	C₂×D₇₉	semidirect
640. #534	C₂×D₇₉	semidirect
677. C₂×#123	C₂×D₇₉	semidirect
678. C₂×#123	C₂×D₇₉	semidirect
696. C₂×#121	C₂×D₇₉	semidirect
704. C₂×#120	C₂×D₇₉	semidirect
723. C₂²×C₂²⋊C₄	C₂×D₇₉	semidirect
757. C₂²×D₄	C₂²×D₇₉	semidirect
803. #123	C₂²×D₇₉	semidirect
804. #123	C₂²×D₇₉	semidirect
822. #121	C₂²×D₇₉	semidirect
830. #120	C₂²×D₇₉	semidirect
895. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
1192. C₂	#23777749	direct (N × H)

Maximal subgroups

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

subgroup	index
#23777749	2
C₂×#19099316	2
C₂×#19099308	2
C₂×#19099306	2
C₂×#19099277	2
C₂×#19099244	2
C₂×#19099241	2
C₂×#19099239	2
C₂×#19099207	2
C₂×#19099200	2
C₂×#19099181	2
C₂×#19099180	2
C₂×#19099148	2
C₂×#19099145	2
C₂×#19099135	2
C₂×#19099122	2
C₂×#19099090	2
C₂²×#14579148	2
C₂×#534×C₇₉	2
C₂×#3545	79

Subgroups — C2×#23777749 #35196020

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23777749 #35196020