Subgroups — C₂×#23776887 #35195228

Order 20224.

12314 conjugacy classes of subgroups.

The subgroup lattice has 1024 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#41×D₇₉	C₂	1	2	yes	maximal, complemented
2	#23776887	C₂	1	32	yes	maximal, direct product factor
3	C₂×#19099234	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#19099228	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#19099223	C₂	1	2	yes	maximal, complemented
6	C₂×#19099214	C₂	1	2	yes	maximal, complemented
7	C₂×#19099205	C₂	1	4	yes	maximal, complemented
8	C₂×#19099201	C₂	1	2	yes	maximal, complemented
9	C₂×D₄×D₃₁₆	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#19099197	C₂	1	2	yes	maximal, complemented
11	C₂×#19099114	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#19099108	C₂	1	2	yes	maximal, complemented
13	C₂×#19099076	C₂	1	2	yes	maximal, complemented
14	C₂×#19099071	C₂	1	4	yes	maximal, complemented
15	C₂×C₄×#11929623	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×#14579123	C₂	1	2	yes	maximal, complemented
17	C₂×C₄×D₄×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#547×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂²×#11929625	C₂²	1	2	yes	complemented
20	C₂²×#11929624	C₂²	1	4	yes	complemented
21	C₂²×#11929624	C₂²	1	2	yes	complemented
22	C₂²×#11929623	C₂²	1	1	yes	characteristic
23	C₂²×#11929623	C₂²	1	4	yes	complemented
24	C₂×#41×D₇₉	—	2	32	no	—
25	C₂×#41×D₇₉	C₂²	1	32	yes	complemented
26	C₂²×Q₈×D₇₉	C₂²	1	2	yes	complemented
27	C₂³×D₃₁₆	C₂²	1	2	yes	—
28	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
29	C₂²×D₄×D₇₉	C₂²	1	4	yes	complemented
30	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
31	C₂³×C₄×D₇₉	C₂²	1	2	yes	complemented
32	C₂³×C₄×D₇₉	C₂²	1	4	yes	complemented
33	#19099234	C₂²	1	16	yes	complemented
34	#19099228	C₂²	1	16	yes	complemented
35	#19099223	C₂²	1	32	yes	complemented
36	#19099214	C₂²	1	32	yes	complemented
37	#19099205	C₂²	1	64	yes	complemented
38	#19099201	C₂²	1	32	yes	complemented
39	D₄×D₃₁₆	C₂²	1	16	yes	complemented
40	#19099197	C₂²	1	32	yes	complemented
41	#19099114	C₂²	1	16	yes	complemented
42	#19099108	C₂²	1	32	yes	complemented
43	C₂×#14579160	C₂²	1	2	yes	complemented
44	C₂×#14579158	C₂²	1	1	yes	characteristic, complemented
45	C₂×#14579157	C₂²	1	2	yes	complemented
46	C₂×#14579150	C₂²	1	2	yes	complemented
47	C₂×#14579147	C₂²	1	4	yes	complemented
48	#19099076	C₂²	1	32	yes	complemented
49	#19099071	C₂²	1	64	yes	complemented
50	C₂×#14579146	C₂²	1	4	yes	complemented
51	C₂×#14579144	C₂²	1	4	yes	complemented
52	C₂×#14579139	C₂²	1	4	yes	complemented
53	C₂×#14579139	C₂²	1	4	yes	complemented
54	C₂×#14579137	C₂²	1	2	yes	complemented
55	C₂×#14579136	C₂²	1	2	yes	complemented
56	C₂×#14579136	C₂²	1	2	yes	complemented
57	C₂×#14579136	C₂²	1	2	yes	complemented
58	C₂×#14579135	C₂²	1	2	yes	complemented
59	C₂×#14579135	C₂²	1	2	yes	complemented
60	C₂×#14579134	C₂²	1	4	yes	complemented
61	C₂×#14579134	C₂²	1	4	yes	complemented
62	C₂×#14579133	C₂²	1	4	yes	complemented
63	C₂×#14579131	C₂²	1	4	yes	complemented
64	C₂×#14579131	C₂²	1	4	yes	complemented
65	C₂×#14579129	C₂²	1	4	yes	complemented
66	C₄×#11929623	C₂²	1	16	yes	complemented
67	C₂×C₄×Dic₁₅₈	C₂²	1	1	yes	characteristic, complemented
68	C₂×#14579126	C₂²	1	1	yes	characteristic, complemented
69	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic
70	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
71	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
72	C₂×#14579123	C₂²	1	1	yes	characteristic
73	C₂×#14579123	C₂²	1	2	yes	—
74	C₂×#14579123	C₂²	1	4	yes	complemented
75	C₂×#14579123	C₂²	1	2	yes	complemented
76	C₂×#14579123	C₂²	1	4	yes	complemented
77	C₂×#14579123	C₂²	1	2	yes	complemented
78	C₂×#14579123	C₂²	1	2	yes	complemented
79	C₂×#14579123	C₂²	1	32	yes	complemented
80	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
81	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
82	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
83	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
84	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	4	yes	complemented
85	C₄×D₄×D₇₉	C₂²	1	16	yes	complemented
86	C₂×#14579119	C₂²	1	1	yes	characteristic, complemented
87	C₂×#14579117	C₂²	1	2	yes	complemented
88	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic, complemented
89	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	4	yes	complemented
90	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	complemented
91	C₂²×C₄×Dic₇₉	C₂²	1	2	yes	complemented
92	C₂×C₄²×D₇₉	C₂²	1	1	yes	characteristic, complemented
93	C₂²×#41×C₇₉	C₂²	1	2	yes	complemented
94	#547×C₇₉	C₂²	1	16	yes	complemented
95	C₂×C₄⋊Q₈×C₇₉	C₂²	1	1	yes	characteristic, complemented
96	C₂×#123×C₇₉	C₂²	1	4	yes	complemented
97	C₂×C₂²⋊Q₈×C₇₉	C₂²	1	2	yes	complemented
98	C₂×#121×C₇₉	C₂²	1	2	yes	complemented
99	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
100	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
101	C₂²×C₄⋊C₄×C₇₉	C₂²	1	2	yes	complemented
102	C₂⁴×D₇₉	C₂³	1	2	yes	—
103	C₂⁴×D₇₉	C₂³	1	4	yes	—
104	C₂×#11929625	—	2	16	no	—
105	C₂×#11929625	C₂³	1	16	yes	complemented
106	C₂×#11929624	—	2	16	no	—
107	C₂×#11929624	—	2	32	no	—
108	C₂×#11929624	C₂³	1	32	yes	complemented
109	C₂×#11929624	C₂³	1	16	yes	complemented
110	C₂×#11929623	—	2	32	no	—
111	C₂×#11929623	D₄	1	16	yes	complemented
112	C₂×#11929623	C₂³	1	8	yes	—
113	C₂×#11929623	C₂³	1	32	yes	complemented
114	#41×D₇₉	—	2	256	no	—
115	C₂²×Dic₁₅₈	C₂³	1	4	yes	—
116	C₂²×Dic₁₅₈	C₂³	1	1	yes	characteristic
117	C₂×Q₈×D₇₉	—	2	16	no	—
118	C₂×Q₈×D₇₉	C₂³	1	16	yes	complemented
119	C₂²×D₃₁₆	—	2	16	no	—
120	C₂²×D₃₁₆	C₂³	1	16	yes	—
121	C₂²×D₃₁₆	C₂³	1	4	yes	—
122	C₂²×D₃₁₆	C₂³	1	2	yes	—
123	C₂²×D₃₁₆	C₂³	1	4	yes	—
124	C₂²×D₃₁₆	C₂³	1	2	yes	—
125	C₂²×D₃₁₆	C₂³	1	2	yes	—
126	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
127	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
128	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
129	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
130	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
131	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
132	C₂×D₄×D₇₉	—	2	16	no	—
133	C₂×D₄×D₇₉	—	2	8	no	—
134	C₂×D₄×D₇₉	—	2	32	no	—
135	C₂×D₄×D₇₉	C₂³	1	8	yes	—
136	C₂×D₄×D₇₉	C₂³	1	32	yes	complemented
137	C₂×D₄×D₇₉	C₂³	1	16	yes	complemented
138	C₂³×Dic₇₉	C₂³	1	2	yes	—
139	C₂³×Dic₇₉	C₂³	1	2	yes	—
140	C₂³×Dic₇₉	C₂³	1	2	yes	—
141	C₂²×C₄×D₇₉	—	2	32	no	—
142	C₂²×C₄×D₇₉	—	2	16	no	—
143	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
144	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
145	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
146	C₂²×C₄×D₇₉	C₂³	1	4	yes	—
147	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
148	C₂²×C₄×D₇₉	C₂³	1	4	yes	—
149	C₂²×C₄×D₇₉	C₂³	1	4	yes	—
150	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
151	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
152	C₂²×C₄×D₇₉	C₂³	1	16	yes	complemented
153	C₂²×C₄×D₇₉	C₂³	1	32	yes	complemented
154	#14579160	C₂³	1	16	yes	complemented
155	#14579158	C₂³	1	8	yes	complemented
156	#14579157	C₂³	1	16	yes	complemented
157	#14579150	C₂³	1	16	yes	complemented
158	#14579147	C₂³	1	32	yes	complemented
159	#14579146	C₂³	1	32	yes	complemented
160	#14579144	C₂³	1	32	yes	complemented
161	#14579139	C₂³	1	32	yes	complemented
162	#14579139	C₂³	1	32	yes	complemented
163	#14579137	C₂³	1	16	yes	complemented
164	#14579136	C₂³	1	16	yes	complemented
165	#14579136	C₂³	1	16	yes	complemented
166	#14579136	C₂³	1	16	yes	complemented
167	#14579135	C₂³	1	16	yes	complemented
168	#14579135	C₂³	1	16	yes	complemented
169	#14579134	C₂³	1	32	yes	complemented
170	#14579134	C₂³	1	32	yes	complemented
171	#14579133	C₂³	1	32	yes	complemented
172	#14579131	C₂³	1	32	yes	complemented
173	#14579131	C₂³	1	32	yes	complemented
174	#14579129	C₂³	1	32	yes	complemented
175	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
176	#14579126	C₂³	1	8	yes	complemented
177	C₄×D₃₁₆	C₂³	1	8	yes	—
178	D₄×Dic₇₉	C₂³	1	8	yes	complemented
179	D₄×Dic₇₉	C₂³	1	8	yes	complemented
180	#14579123	C₂³	1	16	yes	—
181	#14579123	C₂³	1	8	yes	—
182	#14579123	C₂³	1	32	yes	complemented
183	#14579123	C₂³	1	16	yes	complemented
184	#14579123	C₂³	1	32	yes	complemented
185	#14579123	C₂³	1	16	yes	complemented
186	#14579123	C₂³	1	16	yes	complemented
187	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
188	C₄×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
189	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
190	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
191	(C₂²⋊D₇₉)⋊C₄	C₂³	1	32	yes	complemented
192	#14579119	C₂³	1	8	yes	complemented
193	#14579117	C₂³	1	16	yes	complemented
194	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
195	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
196	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
197	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
198	C₂×Dic₇₉⋊C₄	C₂³	1	2	yes	—
199	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	—
200	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
201	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
202	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
203	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
204	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
205	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
206	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
207	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
208	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
209	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
210	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
211	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	32	yes	complemented
212	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
213	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
214	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
215	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
216	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
217	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
218	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
219	C₂×C₄×Dic₇₉	C₂³	1	16	yes	complemented
220	C₄²×D₇₉	C₂³	1	8	yes	complemented
221	C₂×#41×C₇₉	—	2	16	no	—
222	C₂×#41×C₇₉	C₂³	1	16	yes	complemented
223	C₂²×Q₈×C₇₉	C₂³	1	2	yes	—
224	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
225	C₂²×D₄×C₇₉	C₂³	1	4	yes	—
226	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
227	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
228	C₂³×C₄×C₇₉	C₂³	1	4	yes	—
229	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
230	C₄⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
231	#123×C₇₉	C₂³	1	32	yes	complemented
232	C₂²⋊Q₈×C₇₉	C₂³	1	16	yes	complemented
233	#121×C₇₉	C₂³	1	16	yes	complemented
234	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
235	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
236	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
238	C₂×C₄⋊C₄×C₇₉	C₂³	1	4	yes	—
239	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	—
241	C₂×C₄⋊C₄×C₇₉	C₂³	1	16	yes	complemented
242	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
243	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
244	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	—
245	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
246	C₂³×D₇₉	—	2	16	no	—
247	C₂³×D₇₉	—	2	8	no	—
248	C₂³×D₇₉	—	2	8	no	—
249	C₂³×D₇₉	—	2	16	no	—
250	C₂³×D₇₉	—	4	4	no	—
251	C₂³×D₇₉	—	4	8	no	—
252	C₂³×D₇₉	C₂⁴	1	4	yes	—
253	C₂³×D₇₉	C₂⁴	1	8	yes	—
254	C₂³×D₇₉	C₂⁴	1	16	yes	—
255	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
256	C₂³×D₇₉	C₂⁴	1	2	yes	—
257	#11929625	—	2	64	no	—
258	#11929624	—	2	64	no	—
259	#11929624	—	2	128	no	—
260	#11929623	—	2	128	no	—
261	#11929623	C₂×D₄	1	64	yes	complemented
262	C₂×Dic₁₅₈	—	2	16	no	—
263	C₂×Dic₁₅₈	C₂×D₄	1	8	yes	complemented
264	C₂×Dic₁₅₈	C₂⁴	1	16	yes	—
265	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
266	Q₈×D₇₉	—	2	64	no	—
267	C₂×D₃₁₆	—	2	64	no	—
268	C₂×D₃₁₆	—	2	16	no	—
269	C₂×D₃₁₆	—	2	16	no	—
270	C₂×D₃₁₆	—	2	8	no	—
271	C₂×D₃₁₆	—	2	8	no	—
272	C₂×D₃₁₆	—	4	4	no	—
273	C₂×D₃₁₆	#41	1	8	yes	complemented
274	C₂×D₃₁₆	C₂⁴	1	16	yes	—
275	C₂×D₃₁₆	C₂⁴	1	8	yes	—
276	C₂×D₃₁₆	C₂⁴	1	16	yes	—
277	C₂×D₃₁₆	C₂⁴	1	8	yes	—
278	C₂×D₃₁₆	C₂⁴	1	8	yes	—
279	C₂×D₃₁₆	C₂⁴	1	4	yes	—
280	C₂×C₂²⋊D₇₉	—	2	16	no	—
281	C₂×C₂²⋊D₇₉	—	2	16	no	—
282	C₂×C₂²⋊D₇₉	—	2	8	no	—
283	C₂×C₂²⋊D₇₉	—	4	8	no	—
284	C₂×C₂²⋊D₇₉	C₂×D₄	1	16	yes	complemented
285	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
286	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
287	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
288	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
289	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
290	D₄×D₇₉	—	2	32	no	—
291	D₄×D₇₉	—	2	64	no	—
292	D₄×D₇₉	—	2	128	no	—
293	C₂²×Dic₇₉	—	2	8	no	—
294	C₂²×Dic₇₉	—	4	4	no	—
295	C₂²×Dic₇₉	C₂×D₄	1	16	yes	complemented
296	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
297	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
298	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
299	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
300	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
301	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
302	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
303	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
304	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
305	C₂×C₄×D₇₉	—	2	16	no	—
306	C₂×C₄×D₇₉	—	2	16	no	—
307	C₂×C₄×D₇₉	—	2	16	no	—
308	C₂×C₄×D₇₉	—	2	8	no	—
309	C₂×C₄×D₇₉	—	2	128	no	—
310	C₂×C₄×D₇₉	—	2	64	no	—
311	C₂×C₄×D₇₉	—	2	8	no	—
312	C₂×C₄×D₇₉	—	2	8	no	—
313	C₂×C₄×D₇₉	—	2	4	no	—
314	C₂×C₄×D₇₉	—	4	2	no	—
315	C₂×C₄×D₇₉	C₂×D₄	1	8	yes	complemented
316	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
317	C₂×C₄×D₇₉	C₂⁴	1	16	yes	—
318	C₂×C₄×D₇₉	C₂⁴	1	16	yes	—
319	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
320	C₂×C₄×D₇₉	C₂⁴	1	16	yes	—
321	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
322	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
323	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
324	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
325	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
326	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
327	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
328	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
329	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
330	Dic₇₉⋊C₄	C₂⁴	1	16	yes	—
331	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
332	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
333	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
334	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
335	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
336	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
337	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
338	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
339	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
340	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
341	C₄×Dic₇₉	C₂⁴	1	4	yes	—
342	C₄×Dic₇₉	C₂⁴	1	4	yes	—
343	C₄×Dic₇₉	C₂⁴	1	4	yes	—
344	C₄×Dic₇₉	C₂⁴	1	8	yes	—
345	C₄×Dic₇₉	C₂⁴	1	8	yes	—
346	C₄×Dic₇₉	C₂⁴	1	8	yes	—
347	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
348	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
349	#41×C₇₉	—	2	64	no	—
350	C₂×Q₈×C₇₉	—	2	8	no	—
351	C₂×Q₈×C₇₉	C₂⁴	1	8	yes	—
352	C₂×D₄×C₇₉	—	2	16	no	—
353	C₂×D₄×C₇₉	—	2	4	no	—
354	C₂×D₄×C₇₉	C₂×D₄	1	8	yes	complemented
355	C₂×D₄×C₇₉	C₂⁴	1	16	yes	—
356	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
357	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
358	C₂²×C₄×C₇₉	—	2	16	no	—
359	C₂²×C₄×C₇₉	—	2	8	no	—
360	C₂²×C₄×C₇₉	—	2	8	no	—
361	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
362	C₂²×C₄×C₇₉	C₂⁴	1	16	yes	—
363	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
364	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
366	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
367	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
368	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
370	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
371	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
372	C₄⋊C₄×C₇₉	C₂⁴	1	16	yes	—
373	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
374	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
375	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
376	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
377	C₂²⋊C₄×C₇₉	C₂⁴	1	16	yes	—
378	C₄²×C₇₉	C₂⁴	1	4	yes	—
379	C₂³×C₇₉	—	2	4	no	—
380	C₂³×C₇₉	—	2	4	no	—
381	C₂³×C₇₉	—	2	4	no	—
382	C₂³×C₇₉	—	2	4	no	—
383	C₂³×C₇₉	—	2	4	no	—
384	C₂³×C₇₉	C₂²×D₄	1	8	yes	—
385	C₂³×C₇₉	C₂⁵	1	4	yes	—
386	C₂³×C₇₉	C₂⁵	1	4	yes	—
387	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
388	C₂²×D₇₉	—	2	4	no	—
389	C₂²×D₇₉	—	2	2	no	—
390	C₂²×D₇₉	—	2	2	no	—
391	C₂²×D₇₉	—	2	4	no	—
392	C₂²×D₇₉	—	2	32	no	—
393	C₂²×D₇₉	—	2	8	no	—
394	C₂²×D₇₉	—	2	8	no	—
395	C₂²×D₇₉	—	2	8	no	—
396	C₂²×D₇₉	—	2	16	no	—
397	C₂²×D₇₉	—	2	16	no	—
398	C₂²×D₇₉	—	2	32	no	—
399	C₂²×D₇₉	—	4	8	no	—
400	C₂²×D₇₉	—	4	16	no	—
401	C₂²×D₇₉	—	4	32	no	—
402	C₂²×D₇₉	—	4	64	no	—
403	C₂²×D₇₉	C₂²×D₄	1	4	yes	—
404	C₂²×D₇₉	C₂×#41	1	8	yes	complemented
405	C₂²×D₇₉	C₂⁵	1	8	yes	—
406	C₂²×D₇₉	C₂⁵	1	2	yes	—
407	C₂²×D₇₉	C₂⁵	1	4	yes	—
408	Q₈×C₇₉	—	2	16	no	—
409	D₄×C₇₉	—	2	32	no	—
410	D₄×C₇₉	—	2	8	no	—
411	D₄×C₇₉	C₂²×D₄	1	16	yes	complemented
412	C₂×C₄×C₇₉	—	2	4	no	—
413	C₂×C₄×C₇₉	—	2	8	no	—
414	C₂×C₄×C₇₉	—	2	32	no	—
415	C₂×C₄×C₇₉	—	2	4	no	—
416	C₂×C₄×C₇₉	—	2	2	no	—
417	C₂×C₄×C₇₉	—	2	16	no	—
418	C₂×C₄×C₇₉	—	2	16	no	—
419	C₂×C₄×C₇₉	C₂²×D₄	1	4	yes	—
420	C₂×C₄×C₇₉	C₂×#41	1	4	yes	complemented
421	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
422	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
423	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
424	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
425	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
426	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
427	C₂²⋊D₇₉	—	2	32	no	—
428	C₂²⋊D₇₉	—	2	16	no	—
429	C₂²⋊D₇₉	—	2	32	no	—
430	C₂²⋊D₇₉	—	4	16	no	—
431	C₂²⋊D₇₉	C₂²×D₄	1	32	yes	complemented
432	C₂×Dic₇₉	—	2	4	no	—
433	C₂×Dic₇₉	—	2	2	no	—
434	C₂×Dic₇₉	—	2	2	no	—
435	C₂×Dic₇₉	—	2	4	no	—
436	C₂×Dic₇₉	—	2	16	no	—
437	C₂×Dic₇₉	—	4	8	no	—
438	C₂×Dic₇₉	C₂²×D₄	1	4	yes	—
439	C₂×Dic₇₉	C₂²×D₄	1	8	yes	—
440	C₂×Dic₇₉	C₂²×D₄	1	32	yes	complemented
441	C₂×Dic₇₉	C₂⁵	1	2	yes	—
442	C₂×Dic₇₉	C₂⁵	1	4	yes	—
443	C₂×Dic₇₉	C₂⁵	1	2	yes	—
444	C₂×Dic₇₉	C₂⁵	1	4	yes	—
445	C₂×Dic₇₉	C₂⁵	1	2	yes	—
446	C₂×Dic₇₉	C₂⁵	1	4	yes	—
447	D₃₁₆	—	2	32	no	—
448	D₃₁₆	—	2	32	no	—
449	D₃₁₆	—	2	16	no	—
450	D₃₁₆	—	2	16	no	—
451	D₃₁₆	—	4	8	no	—
452	D₃₁₆	C₂×#41	1	16	yes	complemented
453	C₄×D₇₉	—	2	16	no	—
454	C₄×D₇₉	—	2	16	no	—
455	C₄×D₇₉	—	2	8	no	—
456	C₄×D₇₉	—	2	16	no	—
457	C₄×D₇₉	—	2	32	no	—
458	C₄×D₇₉	—	2	32	no	—
459	C₄×D₇₉	—	2	32	no	—
460	C₄×D₇₉	—	4	4	no	—
461	C₄×D₇₉	C₂²×D₄	1	16	yes	complemented
462	Dic₁₅₈	—	2	32	no	—
463	Dic₁₅₈	C₂²×D₄	1	16	yes	complemented
464	C₂²×C₇₉	—	2	4	no	—
465	C₂²×C₇₉	—	2	4	no	—
466	C₂²×C₇₉	—	2	16	no	—
467	C₂²×C₇₉	—	2	4	no	—
468	C₂²×C₇₉	—	2	4	no	—
469	C₂²×C₇₉	—	2	4	no	—
470	C₂²×C₇₉	—	4	8	no	—
471	C₂²×C₇₉	C₂³×D₄	1	8	yes	—
472	C₂²×C₇₉	C₂³×D₄	1	2	yes	—
473	C₂²×C₇₉	C₂²×#41	1	2	yes	—
474	C₂²×C₇₉	#585	1	2	yes	—
475	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
476	C₂×D₇₉	—	2	4	no	—
477	C₂×D₇₉	—	2	2	no	—
478	C₂×D₇₉	—	2	4	no	—
479	C₂×D₇₉	—	2	2	no	—
480	C₂×D₇₉	—	2	16	no	—
481	C₂×D₇₉	—	2	8	no	—
482	C₂×D₇₉	—	2	8	no	—
483	C₂×D₇₉	—	2	8	no	—
484	C₂×D₇₉	—	2	8	no	—
485	C₂×D₇₉	—	4	32	no	—
486	C₂×D₇₉	—	4	64	no	—
487	C₂×D₇₉	—	4	16	no	—
488	C₂×D₇₉	C₂³×D₄	1	4	yes	—
489	C₂×D₇₉	C₂²×#41	1	8	yes	complemented
490	C₄×C₇₉	—	2	4	no	—
491	C₄×C₇₉	—	2	8	no	—
492	C₄×C₇₉	—	2	4	no	—
493	C₄×C₇₉	—	2	2	no	—
494	C₄×C₇₉	C₂³×D₄	1	4	yes	—
495	C₄×C₇₉	C₂²×#41	1	4	yes	complemented
496	Dic₇₉	—	2	4	no	—
497	Dic₇₉	—	2	2	no	—
498	Dic₇₉	—	2	4	no	—
499	Dic₇₉	—	2	2	no	—
500	Dic₇₉	C₂³×D₄	1	8	yes	—
501	Dic₇₉	C₂³×D₄	1	4	yes	—
502	C₂×D₄×#41	—	79	1	no	maximal, Sylow
503	C₂×C₇₉	—	2	8	no	—
504	C₂×C₇₉	—	4	4	no	—
505	C₂×C₇₉	D₄×#41	1	4	yes	complemented
506	C₂×C₇₉	C₂⁴×D₄	1	1	yes	characteristic
507	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
508	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
509	D₇₉	—	2	8	no	—
510	D₇₉	—	2	4	no	—
511	D₇₉	—	4	8	no	—
512	C₂³×#41	—	79	2	no	—
513	D₄×#41	—	79	32	no	—
514	C₂×#550	—	79	1	no	—
515	C₂×D₄×Q₈	—	79	1	no	—
516	C₂×#548	—	79	2	no	—
517	C₂×#547	—	79	2	no	—
518	C₂×#547	D₇₉	1	1	yes	characteristic, complemented
519	C₂×#546	—	79	2	no	—
520	C₂×#546	—	79	4	no	—
521	C₂×D₄²	—	79	2	no	—
522	C₂×D₄²	—	79	1	no	—
523	C₂×#532	—	79	1	no	—
524	C₂×#532	—	79	2	no	—
525	C₂×#525	—	79	4	no	—
526	C₂×#525	—	79	2	no	—
527	C₂×C₄×#41	—	79	1	no	—
528	C₂²×C₄×D₄	—	79	1	no	—
529	C₂²×C₄×D₄	—	79	2	no	—
530	C₇₉	C₂×D₄×#41	1	1	yes	characteristic, complemented, Sylow
531	C₂²×#41	—	79	32	no	—
532	C₂²×#41	—	79	2	no	—
533	C₂²×#41	—	79	1	no	—
534	C₂²×#41	—	79	4	no	—
535	C₂²×#41	—	79	4	no	—
536	C₂²×#41	—	79	2	no	—
537	C₂²×#41	—	158	32	no	—
538	C₂²×#41	C₂×D₇₉	1	2	yes	complemented
539	C₂³×Q₈	—	79	2	no	—
540	C₂³×D₄	—	79	4	no	—
541	C₂³×D₄	—	79	2	no	—
542	C₂³×D₄	—	79	1	no	—
543	C₂³×D₄	—	79	2	no	—
544	C₂⁴×C₄	—	79	4	no	—
545	C₂⁴×C₄	—	79	2	no	—
546	#550	—	79	16	no	—
547	D₄×Q₈	—	79	16	no	—
548	#548	—	79	32	no	—
549	#547	—	79	32	no	—
550	#547	C₂×D₇₉	1	16	yes	complemented
551	#546	—	79	32	no	—
552	#546	—	79	64	no	—
553	D₄²	—	79	32	no	—
554	D₄²	—	79	16	no	—
555	#532	—	79	16	no	—
556	#532	—	79	32	no	—
557	C₂×C₄⋊Q₈	—	79	2	no	—
558	C₂×C₄⋊Q₈	C₂×D₇₉	1	1	yes	characteristic, complemented
559	C₂×#127	—	79	2	no	—
560	C₂×#127	—	79	1	no	—
561	C₂×#124	—	79	2	no	—
562	C₂×#124	—	79	4	no	—
563	#525	—	79	64	no	—
564	#525	—	79	32	no	—
565	C₂×#123	—	79	4	no	—
566	C₂×#123	—	79	4	no	—
567	C₂×#123	C₂×D₇₉	1	4	yes	complemented
568	C₂×C₂²⋊Q₈	—	79	2	no	—
569	C₂×C₂²⋊Q₈	—	79	4	no	—
570	C₂×C₂²⋊Q₈	—	79	4	no	—
571	C₂×C₂²⋊Q₈	C₂×D₇₉	1	2	yes	complemented
572	C₂×#121	—	79	4	no	—
573	C₂×#121	—	79	2	no	—
574	C₂×#121	—	79	2	no	—
575	C₂×#121	—	79	2	no	—
576	C₂×#121	—	79	2	no	—
577	C₂×#121	—	79	2	no	—
578	C₂×#121	—	79	4	no	—
579	C₂×#121	—	79	4	no	—
580	C₂×#121	C₂×D₇₉	1	2	yes	complemented
581	C₂×#120	—	79	4	no	—
582	C₂×#120	—	79	4	no	—
583	C₂×#120	—	79	4	no	—
584	C₄×#41	—	79	16	no	—
585	C₂×C₄×Q₈	—	79	1	no	—
586	C₂×C₄×Q₈	—	79	1	no	—
587	C₂×C₄×D₄	—	79	1	no	—
588	C₂×C₄×D₄	—	79	1	no	—
589	C₂×C₄×D₄	—	79	2	no	—
590	C₂×C₄×D₄	—	79	2	no	—
591	C₂×C₄×D₄	—	79	16	no	—
592	C₂×C₄×D₄	—	79	1	no	—
593	C₂×C₄×D₄	—	79	4	no	—
594	C₂×C₄×D₄	—	79	2	no	—
595	C₂×C₄×D₄	—	79	2	no	—
596	C₂×C₄×D₄	—	79	4	no	—
597	C₂×C₄×D₄	—	79	2	no	—
598	C₂×C₄×D₄	—	79	2	no	—
599	C₂×C₄×D₄	—	79	32	no	—
600	C₂×C₄×D₄	—	79	2	no	—
601	C₂×C₄×D₄	—	79	2	no	—
602	C₂×C₄×D₄	—	79	4	no	—
603	C₂×C₄×D₄	—	79	1	no	—
604	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
605	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
606	C₂×#117	—	79	1	no	—
607	C₂×#117	—	79	2	no	—
608	C₂²×C₄⋊C₄	—	79	1	no	—
609	C₂²×C₄⋊C₄	C₂×D₇₉	1	2	yes	complemented
610	C₂²×C₂²⋊C₄	—	79	4	no	—
611	C₂²×C₂²⋊C₄	—	79	2	no	—
612	C₂²×C₄²	—	79	2	no	—
613	C₂²×C₄²	—	79	1	no	—
614	C₂⁵	—	79	2	no	—
615	C₂⁵	—	79	4	no	—
616	C₂×#41	—	2	16	no	—
617	C₂×#41	—	79	16	no	—
618	C₂×#41	—	79	16	no	—
619	C₂×#41	—	79	8	no	—
620	C₂×#41	—	79	32	no	—
621	C₂×#41	—	79	32	no	—
622	C₂×#41	—	79	16	no	—
623	C₂×#41	—	158	32	no	—
624	C₂×#41	—	158	16	no	—
625	C₂×#41	—	158	32	no	—
626	C₂×#41	—	158	16	no	—
627	C₂×#41	—	158	256	no	—
628	C₂×#41	C₂²×D₇₉	1	16	yes	complemented
629	C₂²×Q₈	—	79	16	no	—
630	C₂²×Q₈	—	79	1	no	—
631	C₂²×Q₈	—	79	4	no	—
632	C₂²×Q₈	—	158	16	no	—
633	C₂²×Q₈	C₂²×D₇₉	1	2	yes	—
634	C₂²×D₄	—	79	4	no	—
635	C₂²×D₄	—	79	2	no	—
636	C₂²×D₄	—	79	2	no	—
637	C₂²×D₄	—	79	4	no	—
638	C₂²×D₄	—	79	4	no	—
639	C₂²×D₄	—	79	8	no	—
640	C₂²×D₄	—	79	32	no	—
641	C₂²×D₄	—	79	16	no	—
642	C₂²×D₄	—	79	2	no	—
643	C₂²×D₄	—	79	1	no	—
644	C₂²×D₄	—	79	4	no	—
645	C₂²×D₄	—	79	2	no	—
646	C₂²×D₄	—	79	16	no	—
647	C₂²×D₄	—	79	4	no	—
648	C₂²×D₄	—	79	2	no	—
649	C₂²×D₄	—	158	16	no	—
650	C₂²×D₄	—	158	32	no	—
651	C₂²×D₄	—	158	8	no	—
652	C₂²×D₄	—	158	16	no	—
653	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
654	C₂²×D₄	C₂²×D₇₉	1	4	yes	—
655	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
656	C₂³×C₄	—	79	2	no	—
657	C₂³×C₄	—	79	1	no	—
658	C₂³×C₄	—	79	2	no	—
659	C₂³×C₄	—	79	1	no	—
660	C₂³×C₄	—	79	2	no	—
661	C₂³×C₄	—	79	2	no	—
662	C₂³×C₄	—	79	1	no	—
663	C₂³×C₄	—	79	2	no	—
664	C₂³×C₄	—	79	4	no	—
665	C₂³×C₄	—	79	4	no	—
666	C₂³×C₄	—	79	2	no	—
667	C₂³×C₄	—	79	4	no	—
668	C₂³×C₄	—	79	32	no	—
669	C₂³×C₄	—	79	16	no	—
670	C₂³×C₄	—	158	32	no	—
671	C₂³×C₄	—	158	16	no	—
672	C₂³×C₄	C₂²×D₇₉	1	4	yes	—
673	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
674	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
675	C₄⋊Q₈	—	79	16	no	—
676	C₄⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
677	#127	—	79	16	no	—
678	#127	—	79	8	no	—
679	#124	—	79	16	no	—
680	#124	—	79	32	no	—
681	#123	—	79	32	no	—
682	#123	—	79	32	no	—
683	#123	C₂²×D₇₉	1	32	yes	complemented
684	C₂²⋊Q₈	—	79	16	no	—
685	C₂²⋊Q₈	—	79	32	no	—
686	C₂²⋊Q₈	—	79	32	no	—
687	C₂²⋊Q₈	C₂²×D₇₉	1	16	yes	complemented
688	#121	—	79	32	no	—
689	#121	—	79	16	no	—
690	#121	—	79	16	no	—
691	#121	—	79	16	no	—
692	#121	—	79	16	no	—
693	#121	—	79	16	no	—
694	#121	—	79	32	no	—
695	#121	—	79	32	no	—
696	#121	C₂²×D₇₉	1	16	yes	complemented
697	#120	—	79	32	no	—
698	#120	—	79	32	no	—
699	#120	—	79	32	no	—
700	C₄×Q₈	—	79	8	no	—
701	C₄×Q₈	—	79	8	no	—
702	C₄×D₄	—	79	8	no	—
703	C₄×D₄	—	79	8	no	—
704	C₄×D₄	—	79	16	no	—
705	C₄×D₄	—	79	16	no	—
706	C₄×D₄	—	79	8	no	—
707	C₄×D₄	—	79	32	no	—
708	C₄×D₄	—	79	16	no	—
709	C₄×D₄	—	79	16	no	—
710	C₄×D₄	—	79	32	no	—
711	C₄×D₄	—	79	16	no	—
712	C₄×D₄	—	79	16	no	—
713	C₄×D₄	—	79	16	no	—
714	C₄×D₄	—	79	16	no	—
715	C₄×D₄	—	79	32	no	—
716	C₄×D₄	—	79	8	no	—
717	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
718	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
719	#117	—	79	8	no	—
720	#117	—	79	16	no	—
721	C₂×C₄⋊C₄	—	79	1	no	—
722	C₂×C₄⋊C₄	—	79	2	no	—
723	C₂×C₄⋊C₄	—	79	2	no	—
724	C₂×C₄⋊C₄	—	79	2	no	—
725	C₂×C₄⋊C₄	—	79	1	no	—
726	C₂×C₄⋊C₄	—	79	4	no	—
727	C₂×C₄⋊C₄	—	79	8	no	—
728	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
729	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
730	C₂×C₄⋊C₄	C₂²×D₇₉	1	4	yes	—
731	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
732	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	—
733	C₂×C₄⋊C₄	C₂²×D₇₉	1	16	yes	complemented
734	C₂×C₂²⋊C₄	—	79	2	no	—
735	C₂×C₂²⋊C₄	—	79	2	no	—
736	C₂×C₂²⋊C₄	—	79	2	no	—
737	C₂×C₂²⋊C₄	—	79	4	no	—
738	C₂×C₂²⋊C₄	—	79	2	no	—
739	C₂×C₂²⋊C₄	—	79	4	no	—
740	C₂×C₂²⋊C₄	—	79	4	no	—
741	C₂×C₂²⋊C₄	—	79	32	no	—
742	C₂×C₂²⋊C₄	—	79	2	no	—
743	C₂×C₂²⋊C₄	—	79	4	no	—
744	C₂×C₂²⋊C₄	—	79	4	no	—
745	C₂×C₂²⋊C₄	—	79	16	no	—
746	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
747	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
748	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	—
749	C₂×C₄²	—	79	2	no	—
750	C₂×C₄²	—	79	1	no	—
751	C₂×C₄²	—	79	1	no	—
752	C₂×C₄²	—	79	2	no	—
753	C₂×C₄²	—	79	1	no	—
754	C₂×C₄²	—	79	2	no	—
755	C₂×C₄²	—	79	16	no	—
756	C₂×C₄²	—	79	8	no	—
757	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
758	C₂⁴	—	316	8	no	—
759	C₂⁴	—	316	4	no	—
760	C₂⁴	—	79	8	no	—
761	C₂⁴	—	79	16	no	—
762	C₂⁴	—	79	2	no	—
763	C₂⁴	—	79	1	no	—
764	C₂⁴	—	79	4	no	—
765	C₂⁴	—	158	8	no	—
766	C₂⁴	—	158	16	no	—
767	C₂⁴	—	158	8	no	—
768	C₂⁴	—	158	16	no	—
769	C₂⁴	C₂³×D₇₉	1	2	yes	—
770	C₂⁴	C₂³×D₇₉	1	2	yes	—
771	#41	—	2	64	no	—
772	#41	—	79	64	no	—
773	#41	—	158	128	no	—
774	#41	—	158	64	no	—
775	#41	—	158	128	no	—
776	#41	—	158	64	no	—
777	C₂×Q₈	—	2	8	no	—
778	C₂×Q₈	—	79	4	no	—
779	C₂×Q₈	—	79	16	no	—
780	C₂×Q₈	—	79	8	no	—
781	C₂×Q₈	—	158	16	no	—
782	C₂×Q₈	—	158	64	no	—
783	C₂×Q₈	C₂³×D₇₉	1	8	yes	—
784	C₂×D₄	—	2	16	no	—
785	C₂×D₄	—	2	4	no	—
786	C₂×D₄	—	316	4	no	—
787	C₂×D₄	—	316	8	no	—
788	C₂×D₄	—	79	16	no	—
789	C₂×D₄	—	79	8	no	—
790	C₂×D₄	—	79	16	no	—
791	C₂×D₄	—	79	8	no	—
792	C₂×D₄	—	79	16	no	—
793	C₂×D₄	—	79	16	no	—
794	C₂×D₄	—	79	8	no	—
795	C₂×D₄	—	79	8	no	—
796	C₂×D₄	—	79	4	no	—
797	C₂×D₄	—	79	16	no	—
798	C₂×D₄	—	79	8	no	—
799	C₂×D₄	—	79	16	no	—
800	C₂×D₄	—	79	8	no	—
801	C₂×D₄	—	158	64	no	—
802	C₂×D₄	—	158	16	no	—
803	C₂×D₄	—	158	16	no	—
804	C₂×D₄	—	158	16	no	—
805	C₂×D₄	—	158	32	no	—
806	C₂×D₄	—	158	128	no	—
807	C₂×D₄	—	158	8	no	—
808	C₂×D₄	—	158	16	no	—
809	C₂×D₄	—	158	64	no	—
810	C₂×D₄	—	158	8	no	—
811	C₂×D₄	—	158	8	no	—
812	C₂×D₄	D₄×D₇₉	1	8	yes	complemented
813	C₂×D₄	C₂³×D₇₉	1	4	yes	—
814	C₂×D₄	C₂³×D₇₉	1	16	yes	—
815	C₂×D₄	C₂³×D₇₉	1	4	yes	—
816	C₂²×C₄	—	2	16	no	—
817	C₂²×C₄	—	2	8	no	—
818	C₂²×C₄	—	2	8	no	—
819	C₂²×C₄	—	316	2	no	—
820	C₂²×C₄	—	316	4	no	—
821	C₂²×C₄	—	79	8	no	—
822	C₂²×C₄	—	79	4	no	—
823	C₂²×C₄	—	79	8	no	—
824	C₂²×C₄	—	79	1	no	—
825	C₂²×C₄	—	79	2	no	—
826	C₂²×C₄	—	79	16	no	—
827	C₂²×C₄	—	79	4	no	—
828	C₂²×C₄	—	79	8	no	—
829	C₂²×C₄	—	79	8	no	—
830	C₂²×C₄	—	79	1	no	—
831	C₂²×C₄	—	79	2	no	—
832	C₂²×C₄	—	79	1	no	—
833	C₂²×C₄	—	79	2	no	—
834	C₂²×C₄	—	79	4	no	—
835	C₂²×C₄	—	79	8	no	—
836	C₂²×C₄	—	79	8	no	—
837	C₂²×C₄	—	79	16	no	—
838	C₂²×C₄	—	79	16	no	—
839	C₂²×C₄	—	79	8	no	—
840	C₂²×C₄	—	79	16	no	—
841	C₂²×C₄	—	158	8	no	—
842	C₂²×C₄	—	158	16	no	—
843	C₂²×C₄	—	158	16	no	—
844	C₂²×C₄	—	158	16	no	—
845	C₂²×C₄	—	158	128	no	—
846	C₂²×C₄	—	158	64	no	—
847	C₂²×C₄	—	158	8	no	—
848	C₂²×C₄	—	158	8	no	—
849	C₂²×C₄	—	158	4	no	—
850	C₂²×C₄	—	158	8	no	—
851	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
852	C₂²×C₄	C₂³×D₇₉	1	16	yes	—
853	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
854	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
855	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
856	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
857	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
858	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
859	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
860	C₄⋊C₄	—	79	8	no	—
861	C₄⋊C₄	—	79	8	no	—
862	C₄⋊C₄	—	79	8	no	—
863	C₄⋊C₄	—	79	16	no	—
864	C₄⋊C₄	—	79	4	no	—
865	C₄⋊C₄	—	79	4	no	—
866	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
867	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
868	C₄⋊C₄	C₂³×D₇₉	1	16	yes	—
869	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
870	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
871	C₂²⋊C₄	—	79	8	no	—
872	C₂²⋊C₄	—	79	8	no	—
873	C₂²⋊C₄	—	79	8	no	—
874	C₂²⋊C₄	—	79	16	no	—
875	C₂²⋊C₄	—	79	8	no	—
876	C₂²⋊C₄	—	79	16	no	—
877	C₂²⋊C₄	—	79	16	no	—
878	C₂²⋊C₄	—	79	8	no	—
879	C₂²⋊C₄	—	79	16	no	—
880	C₂²⋊C₄	—	79	16	no	—
881	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
882	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
883	C₂²⋊C₄	C₂³×D₇₉	1	16	yes	—
884	C₄²	—	79	4	no	—
885	C₄²	—	79	8	no	—
886	C₄²	—	79	4	no	—
887	C₄²	—	79	8	no	—
888	C₄²	—	79	4	no	—
889	C₄²	—	79	8	no	—
890	C₄²	C₂³×D₇₉	1	4	yes	—
891	C₂³	—	2	4	no	—
892	C₂³	—	2	4	no	—
893	C₂³	—	2	4	no	—
894	C₂³	—	2	4	no	—
895	C₂³	—	2	4	no	—
896	C₂³	—	316	64	no	—
897	C₂³	—	316	16	no	—
898	C₂³	—	316	8	no	—
899	C₂³	—	316	32	no	—
900	C₂³	—	79	4	no	—
901	C₂³	—	79	2	no	—
902	C₂³	—	79	4	no	—
903	C₂³	—	79	8	no	—
904	C₂³	—	79	8	no	—
905	C₂³	—	158	16	no	—
906	C₂³	—	158	32	no	—
907	C₂³	—	158	16	no	—
908	C₂³	—	158	8	no	—
909	C₂³	—	158	32	no	—
910	C₂³	—	158	8	no	—
911	C₂³	—	158	8	no	—
912	C₂³	—	158	2	no	—
913	C₂³	—	158	4	no	—
914	C₂³	—	158	4	no	—
915	C₂³	—	158	2	no	—
916	C₂³	C₂×D₄×D₇₉	1	8	yes	—
917	C₂³	C₂⁴×D₇₉	1	4	yes	—
918	C₂³	C₂⁴×D₇₉	1	4	yes	—
919	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
920	Q₈	—	2	16	no	—
921	Q₈	—	79	16	no	—
922	Q₈	—	158	32	no	—
923	D₄	—	2	32	no	—
924	D₄	—	2	8	no	—
925	D₄	—	316	8	no	—
926	D₄	—	316	16	no	—
927	D₄	—	79	32	no	—
928	D₄	—	79	16	no	—
929	D₄	—	158	32	no	—
930	D₄	—	158	32	no	—
931	D₄	—	158	32	no	—
932	D₄	—	158	16	no	—
933	D₄	—	158	32	no	—
934	D₄	—	158	16	no	—
935	D₄	—	158	16	no	—
936	D₄	C₂×D₄×D₇₉	1	16	yes	complemented
937	C₂×C₄	—	2	2	no	—
938	C₂×C₄	—	2	4	no	—
939	C₂×C₄	—	2	8	no	—
940	C₂×C₄	—	2	32	no	—
941	C₂×C₄	—	2	4	no	—
942	C₂×C₄	—	2	16	no	—
943	C₂×C₄	—	2	16	no	—
944	C₂×C₄	—	316	4	no	—
945	C₂×C₄	—	316	8	no	—
946	C₂×C₄	—	79	2	no	—
947	C₂×C₄	—	79	4	no	—
948	C₂×C₄	—	79	4	no	—
949	C₂×C₄	—	79	8	no	—
950	C₂×C₄	—	79	32	no	—
951	C₂×C₄	—	79	16	no	—
952	C₂×C₄	—	79	2	no	—
953	C₂×C₄	—	79	2	no	—
954	C₂×C₄	—	79	4	no	—
955	C₂×C₄	—	79	4	no	—
956	C₂×C₄	—	158	16	no	—
957	C₂×C₄	—	158	32	no	—
958	C₂×C₄	—	158	32	no	—
959	C₂×C₄	—	158	32	no	—
960	C₂×C₄	—	158	16	no	—
961	C₂×C₄	—	158	16	no	—
962	C₂×C₄	—	158	2	no	—
963	C₂×C₄	—	158	4	no	—
964	C₂×C₄	—	158	4	no	—
965	C₂×C₄	—	158	2	no	—
966	C₂×C₄	—	158	16	no	—
967	C₂×C₄	—	158	8	no	—
968	C₂×C₄	C₂×D₄×D₇₉	1	4	yes	—
969	C₂×C₄	#41×D₇₉	1	4	yes	complemented
970	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
971	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
972	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
973	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
974	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
975	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
976	C₂²	—	2	16	no	—
977	C₂²	—	2	4	no	—
978	C₂²	—	2	4	no	—
979	C₂²	—	2	4	no	—
980	C₂²	—	2	4	no	—
981	C₂²	—	2	4	no	—
982	C₂²	—	4	8	no	—
983	C₂²	—	316	64	no	—
984	C₂²	—	316	32	no	—
985	C₂²	—	316	16	no	—
986	C₂²	—	79	4	no	—
987	C₂²	—	79	8	no	—
988	C₂²	—	158	8	no	—
989	C₂²	—	158	8	no	—
990	C₂²	—	158	8	no	—
991	C₂²	—	158	16	no	—
992	C₂²	—	158	8	no	—
993	C₂²	—	158	4	no	—
994	C₂²	—	158	2	no	—
995	C₂²	—	158	2	no	—
996	C₂²	—	158	4	no	—
997	C₂²	C₂²×D₄×D₇₉	1	8	yes	—
998	C₂²	C₂²×D₄×D₇₉	1	2	yes	—
999	C₂²	C₂×#41×D₇₉	1	2	yes	—
1000	C₂²	#19099400	1	2	yes	—
1001	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1002	C₄	—	2	4	no	—
1003	C₄	—	2	8	no	—
1004	C₄	—	2	4	no	—
1005	C₄	—	2	2	no	—
1006	C₄	—	79	4	no	—
1007	C₄	—	79	8	no	—
1008	C₄	—	158	4	no	—
1009	C₄	—	158	2	no	—
1010	C₄	—	158	2	no	—
1011	C₄	—	158	4	no	—
1012	C₄	C₂²×D₄×D₇₉	1	4	yes	—
1013	C₄	C₂×#41×D₇₉	1	4	yes	complemented
1014	C₂	—	2	8	no	—
1015	C₂	—	4	4	no	—
1016	C₂	—	316	8	no	—
1017	C₂	—	158	8	no	—
1018	C₂	—	158	4	no	—
1019	C₂	#23776887	1	4	yes	direct product factor
1020	C₂	C₂³×D₄×D₇₉	1	1	yes	characteristic
1021	C₂	C₂²×#41×D₇₉	1	1	yes	characteristic
1022	C₂	C₂×#19099400	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₉
commutator, cosocle	C₂²×C₇₉	C₂⁶
Frattini	C₂²	C₂⁵×D₇₉
Fitting	C₂×#547×C₇₉	C₂
socle	C₂³×C₇₉	C₂⁵
hypercenter	C₂×#547	D₇₉
hypocenter	C₇₉	C₂×D₄×#41
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂³ ◁ C₂×#547

Complements

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

N	H ≅ G/N	type
1. C₂²×#41×D₇₉	C₂	semidirect
2. #23776887	C₂	direct (N × H)
3. C₂×#19099234	C₂	semidirect
4. C₂×#19099228	C₂	semidirect
5. C₂×#19099223	C₂	semidirect
6. C₂×#19099214	C₂	semidirect
7. C₂×#19099205	C₂	semidirect
8. C₂×#19099201	C₂	semidirect
9. C₂×D₄×D₃₁₆	C₂	semidirect
10. C₂×#19099197	C₂	semidirect
11. C₂×#19099114	C₂	semidirect
12. C₂×#19099108	C₂	semidirect
13. C₂×#19099076	C₂	semidirect
14. C₂×#19099071	C₂	semidirect
15. C₂×C₄×#11929623	C₂	semidirect
16. C₂²×#14579123	C₂	semidirect
17. C₂×C₄×D₄×D₇₉	C₂	semidirect
18. C₂×#547×C₇₉	C₂	semidirect
19. C₂²×#11929625	C₂²	semidirect
20. C₂²×#11929624	C₂²	semidirect
21. C₂²×#11929624	C₂²	semidirect
23. C₂²×#11929623	C₂²	semidirect
25. C₂×#41×D₇₉	C₂²	semidirect
26. C₂²×Q₈×D₇₉	C₂²	semidirect
29. C₂²×D₄×D₇₉	C₂²	semidirect
30. C₂²×D₄×D₇₉	C₂²	semidirect
31. C₂³×C₄×D₇₉	C₂²	semidirect
32. C₂³×C₄×D₇₉	C₂²	semidirect
33. #19099234	C₂²	semidirect
34. #19099228	C₂²	semidirect
35. #19099223	C₂²	semidirect
36. #19099214	C₂²	semidirect
37. #19099205	C₂²	semidirect
38. #19099201	C₂²	semidirect
39. D₄×D₃₁₆	C₂²	semidirect
40. #19099197	C₂²	semidirect
41. #19099114	C₂²	semidirect
42. #19099108	C₂²	semidirect
43. C₂×#14579160	C₂²	semidirect
44. C₂×#14579158	C₂²	semidirect
45. C₂×#14579157	C₂²	semidirect
46. C₂×#14579150	C₂²	semidirect
47. C₂×#14579147	C₂²	semidirect
48. #19099076	C₂²	semidirect
49. #19099071	C₂²	semidirect
50. C₂×#14579146	C₂²	semidirect
51. C₂×#14579144	C₂²	semidirect
52. C₂×#14579139	C₂²	semidirect
53. C₂×#14579139	C₂²	semidirect
54. C₂×#14579137	C₂²	semidirect
55. C₂×#14579136	C₂²	semidirect
56. C₂×#14579136	C₂²	semidirect
57. C₂×#14579136	C₂²	semidirect
58. C₂×#14579135	C₂²	semidirect
59. C₂×#14579135	C₂²	semidirect
60. C₂×#14579134	C₂²	semidirect
61. C₂×#14579134	C₂²	semidirect
62. C₂×#14579133	C₂²	semidirect
63. C₂×#14579131	C₂²	semidirect
64. C₂×#14579131	C₂²	semidirect
65. C₂×#14579129	C₂²	semidirect
66. C₄×#11929623	C₂²	semidirect
67. C₂×C₄×Dic₁₅₈	C₂²	semidirect
68. C₂×#14579126	C₂²	semidirect
70. C₂×D₄×Dic₇₉	C₂²	semidirect
71. C₂×D₄×Dic₇₉	C₂²	semidirect
74. C₂×#14579123	C₂²	semidirect
75. C₂×#14579123	C₂²	semidirect
76. C₂×#14579123	C₂²	semidirect
77. C₂×#14579123	C₂²	semidirect
78. C₂×#14579123	C₂²	semidirect
79. C₂×#14579123	C₂²	semidirect
80. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
81. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
82. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
83. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
84. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
85. C₄×D₄×D₇₉	C₂²	semidirect
86. C₂×#14579119	C₂²	semidirect
87. C₂×#14579117	C₂²	semidirect
88. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
89. C₂²×(C₂×D₇₉)⋊C₄	C₂²	semidirect
90. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
91. C₂²×C₄×Dic₇₉	C₂²	semidirect
92. C₂×C₄²×D₇₉	C₂²	semidirect
93. C₂²×#41×C₇₉	C₂²	semidirect
94. #547×C₇₉	C₂²	semidirect
95. C₂×C₄⋊Q₈×C₇₉	C₂²	semidirect
96. C₂×#123×C₇₉	C₂²	semidirect
97. C₂×C₂²⋊Q₈×C₇₉	C₂²	semidirect
98. C₂×#121×C₇₉	C₂²	semidirect
99. C₂×C₄×D₄×C₇₉	C₂²	semidirect
100. C₂×C₄×D₄×C₇₉	C₂²	semidirect
101. C₂²×C₄⋊C₄×C₇₉	C₂²	semidirect
105. C₂×#11929625	C₂³	semidirect
108. C₂×#11929624	C₂³	semidirect
109. C₂×#11929624	C₂³	semidirect
111. C₂×#11929623	D₄	semidirect
113. C₂×#11929623	C₂³	semidirect
118. C₂×Q₈×D₇₉	C₂³	semidirect
136. C₂×D₄×D₇₉	C₂³	semidirect
137. C₂×D₄×D₇₉	C₂³	semidirect
152. C₂²×C₄×D₇₉	C₂³	semidirect
153. C₂²×C₄×D₇₉	C₂³	semidirect
154. #14579160	C₂³	semidirect
155. #14579158	C₂³	semidirect
156. #14579157	C₂³	semidirect
157. #14579150	C₂³	semidirect
158. #14579147	C₂³	semidirect
159. #14579146	C₂³	semidirect
160. #14579144	C₂³	semidirect
161. #14579139	C₂³	semidirect
162. #14579139	C₂³	semidirect
163. #14579137	C₂³	semidirect
164. #14579136	C₂³	semidirect
165. #14579136	C₂³	semidirect
166. #14579136	C₂³	semidirect
167. #14579135	C₂³	semidirect
168. #14579135	C₂³	semidirect
169. #14579134	C₂³	semidirect
170. #14579134	C₂³	semidirect
171. #14579133	C₂³	semidirect
172. #14579131	C₂³	semidirect
173. #14579131	C₂³	semidirect
174. #14579129	C₂³	semidirect
175. C₄×Dic₁₅₈	C₂³	semidirect
176. #14579126	C₂³	semidirect
178. D₄×Dic₇₉	C₂³	semidirect
179. D₄×Dic₇₉	C₂³	semidirect
182. #14579123	C₂³	semidirect
183. #14579123	C₂³	semidirect
184. #14579123	C₂³	semidirect
185. #14579123	C₂³	semidirect
186. #14579123	C₂³	semidirect
187. C₄×C₂²⋊D₇₉	C₂³	semidirect
188. C₄×C₂²⋊D₇₉	C₂³	semidirect
189. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
190. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
191. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
192. #14579119	C₂³	semidirect
193. #14579117	C₂³	semidirect
200. C₄⋊C₄×D₇₉	C₂³	semidirect
211. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
212. C₂²⋊C₄×D₇₉	C₂³	semidirect
219. C₂×C₄×Dic₇₉	C₂³	semidirect
220. C₄²×D₇₉	C₂³	semidirect
222. C₂×#41×C₇₉	C₂³	semidirect
230. C₄⋊Q₈×C₇₉	C₂³	semidirect
231. #123×C₇₉	C₂³	semidirect
232. C₂²⋊Q₈×C₇₉	C₂³	semidirect
233. #121×C₇₉	C₂³	semidirect
234. C₄×D₄×C₇₉	C₂³	semidirect
235. C₄×D₄×C₇₉	C₂³	semidirect
241. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
261. #11929623	C₂×D₄	semidirect
263. C₂×Dic₁₅₈	C₂×D₄	semidirect
273. C₂×D₃₁₆	#41	semidirect
284. C₂×C₂²⋊D₇₉	C₂×D₄	semidirect
295. C₂²×Dic₇₉	C₂×D₄	semidirect
315. C₂×C₄×D₇₉	C₂×D₄	semidirect
354. C₂×D₄×C₇₉	C₂×D₄	semidirect
404. C₂²×D₇₉	C₂×#41	semidirect
411. D₄×C₇₉	C₂²×D₄	semidirect
420. C₂×C₄×C₇₉	C₂×#41	semidirect
431. C₂²⋊D₇₉	C₂²×D₄	semidirect
440. C₂×Dic₇₉	C₂²×D₄	semidirect
452. D₃₁₆	C₂×#41	semidirect
461. C₄×D₇₉	C₂²×D₄	semidirect
463. Dic₁₅₈	C₂²×D₄	semidirect
489. C₂×D₇₉	C₂²×#41	semidirect
495. C₄×C₇₉	C₂²×#41	semidirect
505. C₂×C₇₉	D₄×#41	semidirect
518. C₂×#547	D₇₉	semidirect
530. C₇₉	C₂×D₄×#41	semidirect
538. C₂²×#41	C₂×D₇₉	semidirect
550. #547	C₂×D₇₉	semidirect
558. C₂×C₄⋊Q₈	C₂×D₇₉	semidirect
567. C₂×#123	C₂×D₇₉	semidirect
571. C₂×C₂²⋊Q₈	C₂×D₇₉	semidirect
580. C₂×#121	C₂×D₇₉	semidirect
604. C₂×C₄×D₄	C₂×D₇₉	semidirect
605. C₂×C₄×D₄	C₂×D₇₉	semidirect
609. C₂²×C₄⋊C₄	C₂×D₇₉	semidirect
628. C₂×#41	C₂²×D₇₉	semidirect
676. C₄⋊Q₈	C₂²×D₇₉	semidirect
683. #123	C₂²×D₇₉	semidirect
687. C₂²⋊Q₈	C₂²×D₇₉	semidirect
696. #121	C₂²×D₇₉	semidirect
717. C₄×D₄	C₂²×D₇₉	semidirect
718. C₄×D₄	C₂²×D₇₉	semidirect
733. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
812. C₂×D₄	D₄×D₇₉	semidirect
936. D₄	C₂×D₄×D₇₉	semidirect
969. C₂×C₄	#41×D₇₉	semidirect
1013. C₄	C₂×#41×D₇₉	semidirect
1019. C₂	#23776887	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#41×D₇₉	2
#23776887	2
C₂×#19099234	2
C₂×#19099228	2
C₂×#19099223	2
C₂×#19099214	2
C₂×#19099205	2
C₂×#19099201	2
C₂×D₄×D₃₁₆	2
C₂×#19099197	2
C₂×#19099114	2
C₂×#19099108	2
C₂×#19099076	2
C₂×#19099071	2
C₂×C₄×#11929623	2
C₂²×#14579123	2
C₂×C₄×D₄×D₇₉	2
C₂×#547×C₇₉	2
C₂×D₄×#41	79

Subgroups — C2×#23776887 #35195228

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#23776887 #35195228