Subgroups — #3081×D₇₉ #35155820

Order 20224.

2234 conjugacy classes of subgroups.

The subgroup lattice has 1184 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#544×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#518×D₇₉	C₂	1	1	yes	maximal, characteristic
3	#23773234	C₂	1	1	yes	maximal, characteristic, complemented
4	#23773233	C₂	1	1	yes	maximal, characteristic, complemented
5	#23773232	C₂	1	1	yes	maximal, characteristic, complemented
6	#23773231	C₂	1	1	yes	maximal, characteristic, complemented
7	#23773230	C₂	1	2	yes	maximal, complemented
8	#23773229	C₂	1	1	yes	maximal, characteristic, complemented
9	#23773228	C₂	1	2	yes	maximal, complemented
10	#23773227	C₂	1	1	yes	maximal, characteristic, complemented
11	#23773226	C₂	1	2	yes	maximal, complemented
12	#23773225	C₂	1	1	yes	maximal, characteristic, complemented
13	#23773224	C₂	1	2	yes	maximal, complemented
14	#478×D₇₉	C₂	1	2	yes	maximal, complemented
15	#478×D₇₉	C₂	1	2	yes	maximal, complemented
16	#476×D₇₉	C₂	1	2	yes	maximal, complemented
17	#474×D₇₉	C₂	1	2	yes	maximal, complemented
18	#428×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#427×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#424×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#418×D₇₉	C₂	1	1	yes	maximal, characteristic
22	C₂×#102×D₇₉	C₂	1	1	yes	maximal, characteristic
23	C₇₉×#3081	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
25	C₂×M₁₆×D₇₉	C₂²	1	1	yes	characteristic
26	C₂²×C₈×D₇₉	C₂²	1	1	yes	characteristic
27	#19099194	C₂²	1	1	yes	characteristic, complemented
28	#19099193	—	2	1	no	—
29	#19099193	C₂²	1	2	yes	complemented
30	#19099192	—	2	2	no	—
31	#19099191	C₂²	1	1	yes	characteristic, complemented
32	#19099191	C₂²	1	1	yes	characteristic, complemented
33	#19099190	—	2	1	no	—
34	#19099190	C₂²	1	2	yes	complemented
35	C₄⋊Q₈×D₇₉	—	2	1	no	—
36	C₄⋊Q₈×D₇₉	C₂²	1	2	yes	complemented
37	#125×D₇₉	—	2	1	no	—
38	#125×D₇₉	C₂²	1	2	yes	complemented
39	C₂²⋊Q₈×D₇₉	—	2	2	no	—
40	#19099038	C₂²	1	1	yes	characteristic
41	#19099037	C₂²	1	1	yes	characteristic
42	#19099037	C₂²	1	1	yes	characteristic
43	#19099036	—	2	2	no	—
44	#19099035	—	2	1	no	—
45	#19099035	—	2	1	no	—
46	#19099035	C₂²	1	2	yes	—
47	#19099035	C₂²	1	2	yes	—
48	C₄×D₄×D₇₉	—	2	1	no	—
49	C₄×D₄×D₇₉	—	2	1	no	—
50	C₄×D₄×D₇₉	C₂²	1	2	yes	—
51	C₄×D₄×D₇₉	C₂²	1	2	yes	—
52	#117×D₇₉	C₂²	1	1	yes	characteristic
53	#117×D₇₉	C₂²	1	1	yes	characteristic
54	#117×D₇₉	C₂²	1	1	yes	characteristic
55	C₂×C₄⋊C₄×D₇₉	C₂²	1	1	yes	characteristic
56	C₂×C₂²⋊C₄×D₇₉	—	2	2	no	—
57	#19098866	C₂²	1	2	yes	complemented
58	#19098866	C₂²	1	2	yes	complemented
59	#19098865	C₂²	1	2	yes	complemented
60	#19098865	C₂²	1	2	yes	complemented
61	#19098864	C₂²	1	2	yes	complemented
62	#19098864	C₂²	1	2	yes	complemented
63	#19098863	C₂²	1	2	yes	complemented
64	#19098863	C₂²	1	2	yes	complemented
65	#19098862	C₂²	1	2	yes	complemented
66	#19098862	C₂²	1	2	yes	complemented
67	#19098861	C₂²	1	2	yes	complemented
68	#19098861	C₂²	1	2	yes	complemented
69	#19098860	C₂²	1	2	yes	complemented
70	#19098860	C₂²	1	2	yes	complemented
71	#19098854	C₂²	1	2	yes	complemented
72	#19098853	C₂²	1	2	yes	complemented
73	#19098852	C₂²	1	2	yes	complemented
74	#19098852	C₂²	1	2	yes	complemented
75	#19098851	C₂²	1	2	yes	complemented
76	#19098851	C₂²	1	2	yes	complemented
77	#19098850	C₂²	1	2	yes	complemented
78	#19098844	C₂²	1	2	yes	complemented
79	#19098843	C₂²	1	2	yes	complemented
80	#19098842	C₂²	1	2	yes	complemented
81	#19098842	C₂²	1	2	yes	complemented
82	#19098841	C₂²	1	2	yes	complemented
83	#19098841	C₂²	1	2	yes	complemented
84	#19098840	C₂²	1	2	yes	complemented
85	#19098606	C₂²	1	1	yes	characteristic, complemented
86	#19098605	C₂²	1	1	yes	characteristic, complemented
87	#19098604	C₂²	1	2	yes	complemented
88	#19098603	C₂²	1	1	yes	characteristic, complemented
89	#19098602	C₂²	1	2	yes	complemented
90	#19098601	C₂²	1	1	yes	characteristic, complemented
91	#19098600	C₂²	1	1	yes	characteristic, complemented
92	#19098600	C₂²	1	1	yes	characteristic, complemented
93	#19098599	C₂²	1	1	yes	characteristic, complemented
94	#19098599	C₂²	1	1	yes	characteristic, complemented
95	#19098598	C₂²	1	1	yes	characteristic, complemented
96	#19098598	C₂²	1	1	yes	characteristic, complemented
97	#107×D₇₉	C₂²	1	1	yes	characteristic, complemented
98	#107×D₇₉	C₂²	1	1	yes	characteristic, complemented
99	#107×D₇₉	C₂²	1	2	yes	complemented
100	#106×D₇₉	C₂²	1	1	yes	characteristic, complemented
101	#106×D₇₉	C₂²	1	1	yes	characteristic, complemented
102	#106×D₇₉	C₂²	1	2	yes	complemented
103	#19098591	C₂²	1	1	yes	characteristic, complemented
104	#19098590	C₂²	1	1	yes	characteristic, complemented
105	#19098589	C₂²	1	1	yes	characteristic, complemented
106	#19098588	C₂²	1	2	yes	complemented
107	#19098588	C₂²	1	2	yes	complemented
108	C₄⋊C₈×D₇₉	C₂²	1	2	yes	complemented
109	C₄⋊C₈×D₇₉	C₂²	1	2	yes	complemented
110	#19098569	C₂²	1	1	yes	characteristic
111	#19098568	C₂²	1	1	yes	characteristic
112	#19098567	C₂²	1	1	yes	characteristic
113	#19098566	C₂²	1	2	yes	—
114	#19098566	C₂²	1	2	yes	—
115	C₂×#14579083	C₂²	1	1	yes	characteristic
116	C₂×#14579082	C₂²	1	1	yes	characteristic
117	C₂×#14579081	C₂²	1	1	yes	characteristic
118	#102×D₇₉	C₂²	1	2	yes	—
119	#102×D₇₉	C₂²	1	2	yes	—
120	#102×D₇₉	C₂²	1	2	yes	—
121	#102×D₇₉	C₂²	1	2	yes	—
122	#102×D₇₉	C₂²	1	2	yes	—
123	#102×D₇₉	C₂²	1	2	yes	—
124	#544×C₇₉	C₂²	1	1	yes	characteristic, complemented
125	#518×C₇₉	C₂²	1	1	yes	characteristic
126	#478×C₇₉	C₂²	1	2	yes	complemented
127	#478×C₇₉	C₂²	1	2	yes	complemented
128	#476×C₇₉	C₂²	1	2	yes	complemented
129	#474×C₇₉	C₂²	1	2	yes	complemented
130	#428×C₇₉	C₂²	1	1	yes	characteristic, complemented
131	#427×C₇₉	C₂²	1	1	yes	characteristic, complemented
132	#424×C₇₉	C₂²	1	1	yes	characteristic, complemented
133	#418×C₇₉	C₂²	1	1	yes	characteristic
134	C₂×#102×C₇₉	C₂²	1	1	yes	characteristic
135	C₂⁴×D₇₉	—	2	1	no	—
136	C₂×Q₈×D₇₉	—	2	2	no	—
137	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
138	C₂²×C₂²⋊D₇₉	—	2	1	no	—
139	C₂×D₄×D₇₉	—	2	1	no	—
140	C₂×D₄×D₇₉	—	2	1	no	—
141	C₂×D₄×D₇₉	—	2	4	no	—
142	C₂×D₄×D₇₉	Q₈	1	8	yes	complemented
143	C₂×D₄×D₇₉	C₂³	1	2	yes	—
144	C₂×D₄×D₇₉	C₂³	1	2	yes	—
145	C₂²×C₄×D₇₉	—	2	1	no	—
146	C₂²×C₄×D₇₉	—	2	2	no	—
147	C₂²×C₄×D₇₉	—	2	2	no	—
148	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
149	C₂×#11929608	C₂³	1	1	yes	characteristic
150	C₂×#11929607	C₂³	1	2	yes	—
151	M₁₆×D₇₉	—	2	4	no	—
152	C₂²×C₇₉⋊C₈	C₂³	1	1	yes	characteristic
153	C₂×C₈×D₇₉	—	2	4	no	—
154	C₂×C₈×D₇₉	C₂³	1	1	yes	characteristic
155	C₂×C₈×D₇₉	C₂³	1	1	yes	characteristic
156	C₂×C₈×D₇₉	C₂³	1	1	yes	characteristic
157	C₂×C₈×D₇₉	C₂³	1	1	yes	characteristic
158	C₂×C₈×D₇₉	C₂³	1	2	yes	—
159	#14579161	—	2	1	no	—
160	#14579161	C₂³	1	2	yes	complemented
161	#14579160	—	2	1	no	—
162	#14579160	—	2	1	no	—
163	#14579160	—	2	2	no	—
164	#14579160	—	2	2	no	—
165	#14579160	C₂³	1	2	yes	complemented
166	#14579160	C₂³	1	2	yes	complemented
167	#14579159	—	2	2	no	—
168	#14579159	—	2	2	no	—
169	#14579153	—	2	1	no	—
170	#14579153	C₂³	1	2	yes	complemented
171	#14579152	—	2	1	no	—
172	#14579152	—	2	1	no	—
173	#14579152	C₂³	1	2	yes	complemented
174	#14579152	C₂³	1	2	yes	complemented
175	#14579151	—	2	2	no	—
176	#14579151	—	2	2	no	—
177	#14579151	—	2	2	no	—
178	#14579151	—	2	2	no	—
179	#14579141	—	2	2	no	—
180	#14579140	—	2	2	no	—
181	#14579139	—	2	2	no	—
182	#14579139	—	2	2	no	—
183	#14579138	—	2	2	no	—
184	#14579138	—	2	2	no	—
185	#14579137	—	2	2	no	—
186	C₄×D₃₁₆	—	2	1	no	—
187	C₄×D₃₁₆	—	2	1	no	—
188	C₄×D₃₁₆	C₂³	1	2	yes	—
189	C₄×D₃₁₆	C₂³	1	2	yes	—
190	D₄×Dic₇₉	—	2	1	no	—
191	D₄×Dic₇₉	—	2	1	no	—
192	D₄×Dic₇₉	C₂³	1	2	yes	—
193	D₄×Dic₇₉	C₂³	1	2	yes	—
194	#14579123	—	2	1	no	—
195	#14579123	—	2	1	no	—
196	#14579123	C₂³	1	2	yes	—
197	#14579123	C₂³	1	2	yes	—
198	C₄×C₂²⋊D₇₉	—	2	2	no	—
199	C₄×C₂²⋊D₇₉	—	2	2	no	—
200	C₄×C₂²⋊D₇₉	—	2	2	no	—
201	C₄×C₂²⋊D₇₉	—	2	2	no	—
202	(C₂²⋊D₇₉)⋊C₄	—	2	2	no	—
203	(C₂²⋊D₇₉)⋊C₄	—	2	2	no	—
204	(C₂²⋊D₇₉)⋊C₄	—	2	2	no	—
205	(C₂²⋊D₇₉)⋊C₄	—	2	2	no	—
206	#14579120	C₂³	1	1	yes	characteristic
207	#14579120	C₂³	1	1	yes	characteristic
208	#14579120	C₂³	1	1	yes	characteristic
209	#14579119	D₄	1	1	yes	characteristic
210	#14579119	D₄	1	1	yes	characteristic
211	#14579119	C₂³	1	1	yes	characteristic
212	#14579119	C₂³	1	1	yes	characteristic
213	#14579119	C₂³	1	1	yes	characteristic
214	#14579119	C₂³	1	1	yes	characteristic
215	#14579118	—	2	1	no	—
216	#14579118	—	2	1	no	—
217	#14579118	C₂³	1	2	yes	—
218	#14579117	—	2	1	no	—
219	#14579117	—	2	1	no	—
220	#14579117	D₄	1	2	yes	—
221	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
222	C₂×Dic₇₉⋊C₄	—	2	1	no	—
223	C₄⋊C₄×D₇₉	—	2	1	no	—
224	C₄⋊C₄×D₇₉	—	2	1	no	—
225	C₄⋊C₄×D₇₉	—	2	2	no	—
226	C₄⋊C₄×D₇₉	—	2	2	no	—
227	C₄⋊C₄×D₇₉	—	2	2	no	—
228	C₄⋊C₄×D₇₉	D₄	1	1	yes	characteristic
229	C₄⋊C₄×D₇₉	D₄	1	1	yes	characteristic
230	C₄⋊C₄×D₇₉	C₂³	1	2	yes	—
231	C₄⋊C₄×D₇₉	C₂³	1	2	yes	—
232	C₄⋊C₄×D₇₉	C₂³	1	1	yes	characteristic
233	C₄⋊C₄×D₇₉	C₂³	1	1	yes	characteristic
234	C₄⋊C₄×D₇₉	C₂³	1	1	yes	characteristic
235	C₄⋊C₄×D₇₉	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₇₉	—	2	2	no	—
237	C₂×(C₂×D₇₉)⋊C₄	—	2	2	no	—
238	C₂×(C₂×D₇₉)⋊C₄	—	2	2	no	—
239	C₂²⋊C₄×D₇₉	—	2	2	no	—
240	C₂²⋊C₄×D₇₉	—	2	1	no	—
241	C₂²⋊C₄×D₇₉	—	2	1	no	—
242	C₂²⋊C₄×D₇₉	—	2	2	no	—
243	C₂²⋊C₄×D₇₉	—	2	2	no	—
244	C₂²⋊C₄×D₇₉	—	2	2	no	—
245	C₂²⋊C₄×D₇₉	—	2	2	no	—
246	C₂²⋊C₄×D₇₉	—	2	2	no	—
247	C₂²⋊C₄×D₇₉	D₄	1	2	yes	—
248	C₄²×D₇₉	—	2	1	no	—
249	C₄²×D₇₉	—	2	1	no	—
250	C₄²×D₇₉	C₂³	1	2	yes	—
251	#14579095	C₂³	1	1	yes	characteristic, complemented
252	#14579095	C₂³	1	2	yes	complemented
253	#14579095	C₂³	1	1	yes	characteristic, complemented
254	#14579094	C₂³	1	1	yes	characteristic, complemented
255	#14579094	C₂³	1	2	yes	complemented
256	#14579094	C₂³	1	1	yes	characteristic, complemented
257	#14579094	C₂³	1	2	yes	complemented
258	#14579094	C₂³	1	1	yes	characteristic, complemented
259	#14579094	C₂³	1	1	yes	characteristic, complemented
260	#14579093	C₂³	1	1	yes	characteristic, complemented
261	#14579093	C₂³	1	2	yes	complemented
262	#14579093	C₂³	1	1	yes	characteristic, complemented
263	#14579092	C₂³	1	1	yes	characteristic, complemented
264	#14579092	C₂³	1	2	yes	complemented
265	#14579092	C₂³	1	1	yes	characteristic, complemented
266	#14579092	C₂³	1	2	yes	complemented
267	#14579092	C₂³	1	1	yes	characteristic, complemented
268	#14579092	C₂³	1	1	yes	characteristic, complemented
269	C₄⋊(C₇₉⋊C₈)	C₂³	1	2	yes	complemented
270	C₄⋊(C₇₉⋊C₈)	C₂³	1	2	yes	complemented
271	Dic₇₉⋊C₈	C₂³	1	2	yes	complemented
272	Dic₇₉⋊C₈	C₂³	1	2	yes	complemented
273	Dic₇₉⋊C₈	C₂³	1	2	yes	complemented
274	Dic₇₉⋊C₈	C₂³	1	2	yes	complemented
275	#14579083	C₂³	1	2	yes	—
276	#14579083	C₂³	1	2	yes	—
277	#14579083	C₂³	1	2	yes	—
278	#14579083	C₂³	1	2	yes	—
279	#14579082	C₂³	1	2	yes	—
280	#14579082	C₂³	1	2	yes	—
281	#14579082	C₂³	1	2	yes	—
282	#14579082	C₂³	1	2	yes	—
283	#14579081	C₂³	1	2	yes	—
284	#14579081	C₂³	1	2	yes	—
285	#14579081	C₂³	1	2	yes	—
286	#14579081	C₂³	1	2	yes	—
287	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
288	C₂×M₁₆×C₇₉	C₂³	1	1	yes	characteristic
289	C₂²×C₈×C₇₉	C₂³	1	1	yes	characteristic
290	C₄⋊Q₈×C₇₉	—	2	1	no	—
291	C₄⋊Q₈×C₇₉	C₂³	1	2	yes	complemented
292	#125×C₇₉	—	2	1	no	—
293	#125×C₇₉	C₂³	1	2	yes	complemented
294	C₂²⋊Q₈×C₇₉	—	2	2	no	—
295	C₄×D₄×C₇₉	—	2	1	no	—
296	C₄×D₄×C₇₉	—	2	1	no	—
297	C₄×D₄×C₇₉	C₂³	1	2	yes	—
298	C₄×D₄×C₇₉	C₂³	1	2	yes	—
299	#117×C₇₉	C₂³	1	1	yes	characteristic
300	#117×C₇₉	C₂³	1	1	yes	characteristic
301	#117×C₇₉	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₇₉	—	2	2	no	—
304	#107×C₇₉	C₂³	1	1	yes	characteristic, complemented
305	#107×C₇₉	C₂³	1	1	yes	characteristic, complemented
306	#107×C₇₉	C₂³	1	2	yes	complemented
307	#106×C₇₉	C₂³	1	1	yes	characteristic, complemented
308	#106×C₇₉	C₂³	1	1	yes	characteristic, complemented
309	#106×C₇₉	C₂³	1	2	yes	complemented
310	C₄⋊C₈×C₇₉	C₂³	1	2	yes	complemented
311	C₄⋊C₈×C₇₉	C₂³	1	2	yes	complemented
312	#102×C₇₉	C₂³	1	2	yes	—
313	#102×C₇₉	C₂³	1	2	yes	—
314	#102×C₇₉	C₂³	1	2	yes	—
315	#102×C₇₉	C₂³	1	2	yes	—
316	C₂³×D₇₉	—	2	1	no	—
317	C₂³×D₇₉	—	2	2	no	—
318	C₂³×D₇₉	—	2	8	no	—
319	C₂³×D₇₉	—	2	2	no	—
320	C₂³×D₇₉	—	8	2	no	—
321	C₂³×D₇₉	—	8	2	no	—
322	C₂³×D₇₉	C₂×D₄	1	1	yes	characteristic
323	C₂×Dic₁₅₈	—	2	2	no	—
324	C₂×Dic₁₅₈	—	2	2	no	—
325	C₂×Dic₁₅₈	—	2	2	no	—
326	Q₈×D₇₉	—	8	4	no	—
327	C₂×D₃₁₆	—	2	1	no	—
328	C₂×D₃₁₆	—	2	2	no	—
329	C₂×D₃₁₆	C₂×Q₈	1	4	yes	complemented
330	C₂×D₃₁₆	C₂⁴	1	2	yes	—
331	C₂×C₂²⋊D₇₉	—	2	8	no	—
332	C₂×C₂²⋊D₇₉	—	2	2	no	—
333	C₂×C₂²⋊D₇₉	—	2	2	no	—
334	D₄×D₇₉	—	2	8	no	—
335	D₄×D₇₉	—	2	8	no	—
336	D₄×D₇₉	—	2	4	no	—
337	D₄×D₇₉	—	2	4	no	—
338	D₄×D₇₉	C₂×Q₈	1	8	yes	—
339	D₄×D₇₉	C₂×Q₈	1	8	yes	complemented
340	C₂²×Dic₇₉	—	2	2	no	—
341	C₂²×Dic₇₉	—	2	2	no	—
342	C₂²×Dic₇₉	—	2	1	no	—
343	C₂²×Dic₇₉	C₂×D₄	1	1	yes	characteristic
344	C₂×C₄×D₇₉	—	2	2	no	—
345	C₂×C₄×D₇₉	—	2	2	no	—
346	C₂×C₄×D₇₉	—	2	1	no	—
347	C₂×C₄×D₇₉	—	2	2	no	—
348	C₂×C₄×D₇₉	—	2	1	no	—
349	C₂×C₄×D₇₉	—	2	1	no	—
350	C₂×C₄×D₇₉	—	2	1	no	—
351	C₂×C₄×D₇₉	—	2	2	no	—
352	C₂×C₄×D₇₉	—	2	2	no	—
353	C₂×C₄×D₇₉	—	2	2	no	—
354	C₂×C₄×D₇₉	—	8	2	no	—
355	C₂×C₄×D₇₉	—	8	4	no	—
356	C₂×C₄×D₇₉	—	8	4	no	—
357	C₂×C₄×D₇₉	C₂×D₄	1	2	yes	—
358	C₂×C₄×D₇₉	C₂×D₄	1	2	yes	—
359	C₂×C₄×D₇₉	C₂×D₄	1	1	yes	characteristic
360	C₂×C₄×D₇₉	C₂×D₄	1	1	yes	characteristic
361	C₂×C₄×D₇₉	C₂×Q₈	1	4	yes	—
362	C₂×C₄×D₇₉	#41	1	4	yes	—
363	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
364	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
365	#11929608	—	2	2	no	—
366	#11929607	—	2	4	no	—
367	C₂×C₇₉⋊C₈	—	2	2	no	—
368	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
369	C₂×C₇₉⋊C₈	C₂⁴	1	2	yes	—
370	C₂×C₇₉⋊C₈	C₂⁴	1	1	yes	characteristic
371	C₈×D₇₉	—	2	2	no	—
372	C₈×D₇₉	—	2	2	no	—
373	C₈×D₇₉	—	2	2	no	—
374	C₈×D₇₉	—	2	2	no	—
375	C₈×D₇₉	—	2	4	no	—
376	C₄⋊Dic₇₉	—	2	2	no	—
377	C₄⋊Dic₇₉	—	2	2	no	—
378	C₄⋊Dic₇₉	—	2	1	no	—
379	C₄⋊Dic₇₉	—	2	2	no	—
380	C₄⋊Dic₇₉	C₂×D₄	1	1	yes	characteristic
381	C₄⋊Dic₇₉	C₂×D₄	1	1	yes	characteristic
382	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
383	C₄⋊Dic₇₉	C₂⁴	1	1	yes	characteristic
384	C₄⋊Dic₇₉	C₂⁴	1	1	yes	characteristic
385	C₄⋊Dic₇₉	C₂⁴	1	1	yes	characteristic
386	C₄⋊Dic₇₉	C₂⁴	1	1	yes	characteristic
387	Dic₇₉⋊C₄	—	2	2	no	—
388	Dic₇₉⋊C₄	—	2	2	no	—
389	Dic₇₉⋊C₄	—	2	2	no	—
390	Dic₇₉⋊C₄	—	2	2	no	—
391	Dic₇₉⋊C₄	—	2	2	no	—
392	Dic₇₉⋊C₄	—	2	2	no	—
393	Dic₇₉⋊C₄	—	2	1	no	—
394	Dic₇₉⋊C₄	—	2	1	no	—
395	Dic₇₉⋊C₄	—	2	1	no	—
396	Dic₇₉⋊C₄	—	2	1	no	—
397	Dic₇₉⋊C₄	—	2	2	no	—
398	Dic₇₉⋊C₄	—	2	2	no	—
399	Dic₇₉⋊C₄	C₂×D₄	1	2	yes	—
400	Dic₇₉⋊C₄	C₂×D₄	1	2	yes	—
401	C₂²⋊Dic₇₉	—	2	2	no	—
402	C₂²⋊Dic₇₉	—	2	2	no	—
403	C₂²⋊Dic₇₉	—	2	1	no	—
404	C₂²⋊Dic₇₉	—	2	1	no	—
405	C₂²⋊Dic₇₉	C₂×D₄	1	2	yes	—
406	(C₂×D₇₉)⋊C₄	—	2	2	no	—
407	(C₂×D₇₉)⋊C₄	—	2	2	no	—
408	(C₂×D₇₉)⋊C₄	—	2	1	no	—
409	(C₂×D₇₉)⋊C₄	—	2	1	no	—
410	(C₂×D₇₉)⋊C₄	—	2	1	no	—
411	(C₂×D₇₉)⋊C₄	—	2	1	no	—
412	(C₂×D₇₉)⋊C₄	—	2	2	no	—
413	(C₂×D₇₉)⋊C₄	—	2	2	no	—
414	(C₂×D₇₉)⋊C₄	C₂×D₄	1	2	yes	—
415	(C₂×D₇₉)⋊C₄	C₂×D₄	1	2	yes	—
416	C₄×Dic₇₉	—	2	1	no	—
417	C₄×Dic₇₉	—	2	1	no	—
418	C₄×Dic₇₉	—	2	1	no	—
419	C₄×Dic₇₉	—	2	1	no	—
420	C₄×Dic₇₉	—	2	1	no	—
421	C₄×Dic₇₉	—	2	1	no	—
422	C₄×Dic₇₉	C₂×D₄	1	2	yes	—
423	C₄×Dic₇₉	C₂×D₄	1	2	yes	—
424	C₄×Dic₇₉	C₂⁴	1	2	yes	—
425	C₂⁴×C₇₉	—	2	1	no	—
426	C₂×Q₈×C₇₉	—	2	2	no	—
427	C₂×D₄×C₇₉	—	2	1	no	—
428	C₂×D₄×C₇₉	—	2	2	no	—
429	C₂×D₄×C₇₉	C₂×Q₈	1	4	yes	complemented
430	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
431	C₂²×C₄×C₇₉	—	2	1	no	—
432	C₂²×C₄×C₇₉	—	2	2	no	—
433	C₂²×C₄×C₇₉	—	2	2	no	—
434	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
435	M₁₆×C₇₉	—	2	2	no	—
436	C₂×C₈×C₇₉	—	2	2	no	—
437	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
438	C₂×C₈×C₇₉	C₂⁴	1	2	yes	—
439	C₂×C₈×C₇₉	C₂⁴	1	1	yes	characteristic
440	C₄⋊C₄×C₇₉	—	2	1	no	—
441	C₄⋊C₄×C₇₉	—	2	2	no	—
442	C₄⋊C₄×C₇₉	—	2	2	no	—
443	C₄⋊C₄×C₇₉	—	2	2	no	—
444	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
445	C₄⋊C₄×C₇₉	C₂×D₄	1	1	yes	characteristic
446	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
447	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
448	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
449	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
450	C₄⋊C₄×C₇₉	C₂⁴	1	1	yes	characteristic
451	C₂²⋊C₄×C₇₉	—	2	1	no	—
452	C₂²⋊C₄×C₇₉	—	2	1	no	—
453	C₂²⋊C₄×C₇₉	—	2	2	no	—
454	C₂²⋊C₄×C₇₉	—	2	2	no	—
455	C₂²⋊C₄×C₇₉	C₂×D₄	1	2	yes	—
456	C₄²×C₇₉	—	2	1	no	—
457	C₄²×C₇₉	—	2	1	no	—
458	C₄²×C₇₉	C₂⁴	1	2	yes	—
459	C₂³×C₇₉	—	2	2	no	—
460	C₂³×C₇₉	—	2	4	no	—
461	C₂³×C₇₉	—	8	1	no	—
462	C₂³×C₇₉	—	8	1	no	—
463	C₂³×C₇₉	C₂²×D₄	1	1	yes	characteristic
464	C₂²×D₇₉	—	2	2	no	—
465	C₂²×D₇₉	—	2	2	no	—
466	C₂²×D₇₉	—	2	2	no	—
467	C₂²×D₇₉	—	2	4	no	—
468	C₂²×D₇₉	—	2	8	no	—
469	C₂²×D₇₉	—	2	8	no	—
470	C₂²×D₇₉	—	4	4	no	—
471	C₂²×D₇₉	—	4	4	no	—
472	C₂²×D₇₉	—	8	16	no	—
473	C₂²×D₇₉	—	8	2	no	—
474	C₂²×D₇₉	—	8	2	no	—
475	C₂²×D₇₉	—	8	1	no	—
476	C₂²×D₇₉	—	8	1	no	—
477	C₂²×D₇₉	C₂²⋊Q₈	1	4	yes	—
478	C₂²×D₇₉	C₂²×D₄	1	1	yes	characteristic
479	C₂²×D₇₉	C₂²×D₄	1	1	yes	characteristic
480	Q₈×C₇₉	—	8	2	no	—
481	D₄×C₇₉	—	2	4	no	—
482	D₄×C₇₉	—	2	2	no	—
483	D₄×C₇₉	C₂²×Q₈	1	4	yes	—
484	C₂×C₄×C₇₉	—	2	1	no	—
485	C₂×C₄×C₇₉	—	2	1	no	—
486	C₂×C₄×C₇₉	—	2	1	no	—
487	C₂×C₄×C₇₉	—	2	1	no	—
488	C₂×C₄×C₇₉	—	2	2	no	—
489	C₂×C₄×C₇₉	—	8	2	no	—
490	C₂×C₄×C₇₉	—	8	2	no	—
491	C₂×C₄×C₇₉	—	8	1	no	—
492	C₂×C₄×C₇₉	C₂²×D₄	1	2	yes	—
493	C₂×C₄×C₇₉	C₂²×D₄	1	2	yes	—
494	C₂×C₄×C₇₉	C₂²×D₄	1	1	yes	characteristic
495	C₂×C₄×C₇₉	C₂²×Q₈	1	2	yes	—
496	C₂×C₄×C₇₉	C₂×#41	1	2	yes	—
497	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
498	C₂²⋊D₇₉	—	2	8	no	—
499	C₂²⋊D₇₉	—	2	8	no	—
500	C₂×Dic₇₉	—	2	1	no	—
501	C₂×Dic₇₉	—	2	1	no	—
502	C₂×Dic₇₉	—	2	1	no	—
503	C₂×Dic₇₉	—	2	1	no	—
504	C₂×Dic₇₉	—	2	2	no	—
505	C₂×Dic₇₉	—	8	2	no	—
506	C₂×Dic₇₉	—	8	2	no	—
507	C₂×Dic₇₉	—	8	1	no	—
508	C₂×Dic₇₉	C₂²⋊Q₈	1	4	yes	—
509	C₂×Dic₇₉	C₂²×D₄	1	2	yes	—
510	C₂×Dic₇₉	C₂²×D₄	1	2	yes	—
511	C₂×Dic₇₉	C₂²×D₄	1	1	yes	characteristic
512	C₂×Dic₇₉	C₂²×D₄	1	1	yes	characteristic
513	D₃₁₆	—	2	4	no	—
514	D₃₁₆	—	2	2	no	—
515	D₃₁₆	C₂²×Q₈	1	4	yes	—
516	C₄×D₇₉	—	2	4	no	—
517	C₄×D₇₉	—	2	4	no	—
518	C₄×D₇₉	—	4	2	no	—
519	C₄×D₇₉	—	4	4	no	—
520	C₄×D₇₉	—	4	2	no	—
521	C₄×D₇₉	—	4	2	no	—
522	C₄×D₇₉	—	4	2	no	—
523	C₄×D₇₉	—	8	2	no	—
524	C₄×D₇₉	—	8	2	no	—
525	C₄×D₇₉	—	8	2	no	—
526	C₄×D₇₉	—	8	2	no	—
527	C₄×D₇₉	—	8	2	no	—
528	C₄×D₇₉	C₂²⋊Q₈	1	4	yes	—
529	C₄×D₇₉	C₂²⋊Q₈	1	4	yes	—
530	C₄×D₇₉	C₂²×Q₈	1	2	yes	—
531	C₄×D₇₉	C₂²×Q₈	1	2	yes	—
532	C₄×D₇₉	C₂×#41	1	2	yes	—
533	C₄×D₇₉	C₂×#41	1	2	yes	—
534	Dic₁₅₈	—	8	2	no	—
535	Dic₁₅₈	—	8	2	no	—
536	Dic₁₅₈	—	8	2	no	—
537	C₈×C₇₉	—	2	1	no	—
538	C₈×C₇₉	—	2	1	no	—
539	C₈×C₇₉	—	2	2	no	—
540	C₇₉⋊C₈	—	2	1	no	—
541	C₇₉⋊C₈	—	2	1	no	—
542	C₇₉⋊C₈	—	2	2	no	—
543	C₂²×C₇₉	—	2	1	no	—
544	C₂²×C₇₉	—	2	1	no	—
545	C₂²×C₇₉	—	2	4	no	—
546	C₂²×C₇₉	—	4	2	no	—
547	C₂²×C₇₉	—	4	2	no	—
548	C₂²×C₇₉	—	8	4	no	—
549	C₂²×C₇₉	C₂×C₂²⋊Q₈	1	2	yes	—
550	C₂²×C₇₉	C₂³×D₄	1	1	yes	characteristic
551	C₂×D₇₉	—	2	1	no	—
552	C₂×D₇₉	—	2	1	no	—
553	C₂×D₇₉	—	2	8	no	—
554	C₂×D₇₉	—	2	4	no	—
555	C₂×D₇₉	—	4	2	no	—
556	C₂×D₇₉	—	4	2	no	—
557	C₂×D₇₉	—	4	16	no	—
558	C₂×D₇₉	—	8	8	no	—
559	C₂×D₇₉	—	8	4	no	—
560	C₂×D₇₉	C₂×C₂²⋊Q₈	1	2	yes	—
561	C₂×D₇₉	C₂×C₂²⋊Q₈	1	2	yes	—
562	C₂×D₇₉	#576	1	2	yes	—
563	C₂×D₇₉	#577	1	2	yes	—
564	C₄×C₇₉	—	2	2	no	—
565	C₄×C₇₉	—	2	2	no	—
566	C₄×C₇₉	—	4	1	no	—
567	C₄×C₇₉	—	4	2	no	—
568	C₄×C₇₉	—	4	1	no	—
569	C₄×C₇₉	—	4	1	no	—
570	C₄×C₇₉	—	4	1	no	—
571	C₄×C₇₉	C₂×C₂²⋊Q₈	1	2	yes	—
572	C₄×C₇₉	C₂³×Q₈	1	1	yes	characteristic
573	C₄×C₇₉	C₂²×#41	1	1	yes	characteristic
574	Dic₇₉	—	2	2	no	—
575	Dic₇₉	—	2	2	no	—
576	Dic₇₉	—	4	1	no	—
577	Dic₇₉	—	4	2	no	—
578	Dic₇₉	—	4	1	no	—
579	Dic₇₉	—	4	1	no	—
580	Dic₇₉	—	4	1	no	—
581	Dic₇₉	C₂×C₂²⋊Q₈	1	2	yes	—
582	Dic₇₉	C₂×C₂²⋊Q₈	1	2	yes	—
583	C₂×#3081	—	79	1	no	maximal, Sylow
584	C₂×C₇₉	—	2	2	no	—
585	C₂×C₇₉	—	4	4	no	—
586	C₂×C₇₉	C₂²×C₂²⋊Q₈	1	1	yes	characteristic
587	C₂×C₇₉	C₂×#576	1	1	yes	characteristic
588	C₂×C₇₉	C₂×#577	1	1	yes	characteristic
589	D₇₉	—	2	2	no	—
590	D₇₉	—	4	4	no	—
591	D₇₉	#3081	1	4	yes	direct product factor
592	C₂×#544	—	79	1	no	—
593	C₂×#518	—	79	1	no	—
594	#3081	—	79	2	no	—
595	#3081	—	79	2	no	—
596	#3081	—	79	2	no	—
597	#3081	—	79	2	no	—
598	#3081	—	79	1	no	—
599	#3081	—	79	1	no	—
600	#3081	—	79	1	no	—
601	#3081	—	79	1	no	—
602	#3081	—	79	1	no	—
603	#3081	—	79	1	no	—
604	#3081	—	79	1	no	—
605	#3081	D₇₉	1	1	yes	characteristic, direct product factor
606	C₂×#478	—	79	2	no	—
607	C₂×#478	—	79	2	no	—
608	C₂×#476	—	79	2	no	—
609	C₂×#474	—	79	2	no	—
610	C₂×#428	—	79	1	no	—
611	C₂×#427	—	79	1	no	—
612	C₂×#424	—	79	1	no	—
613	C₂×#418	—	79	1	no	—
614	C₂²×#102	—	79	1	no	—
615	C₇₉	C₂×#3081	1	1	yes	characteristic, complemented, Sylow
616	C₂³×D₄	—	79	1	no	—
617	C₂²×M₁₆	—	79	1	no	—
618	C₂³×C₈	—	79	1	no	—
619	#544	—	79	2	no	—
620	#544	—	79	2	no	—
621	#544	—	79	1	no	—
622	#544	—	79	1	no	—
623	#544	—	79	1	no	—
624	#544	—	158	2	no	—
625	#544	—	158	1	no	—
626	#544	—	158	1	no	—
627	#544	C₂×D₇₉	1	1	yes	characteristic, complemented
628	C₂×C₄⋊Q₈	—	79	2	no	—
629	C₂×C₄⋊Q₈	—	158	1	no	—
630	C₂×#125	—	79	2	no	—
631	C₂×#125	—	158	1	no	—
632	C₂×C₂²⋊Q₈	—	158	2	no	—
633	#518	—	79	1	no	—
634	#518	—	79	2	no	—
635	#518	—	79	2	no	—
636	#518	—	79	1	no	—
637	#518	—	79	1	no	—
638	#518	—	158	2	no	—
639	#518	—	158	1	no	—
640	#518	—	158	1	no	—
641	#518	C₂×D₇₉	1	1	yes	characteristic
642	C₂×C₄×D₄	—	79	2	no	—
643	C₂×C₄×D₄	—	79	2	no	—
644	C₂×C₄×D₄	—	158	1	no	—
645	C₂×C₄×D₄	—	158	1	no	—
646	C₂×#117	—	79	1	no	—
647	C₂×#117	—	79	1	no	—
648	C₂×#117	—	79	1	no	—
649	C₂²×C₄⋊C₄	—	79	1	no	—
650	C₂²×C₂²⋊C₄	—	158	2	no	—
651	#478	—	79	2	no	—
652	#478	—	79	2	no	—
653	#478	—	79	2	no	—
654	#478	—	79	2	no	—
655	#478	—	79	2	no	—
656	#478	—	79	2	no	—
657	#478	—	79	2	no	—
658	#478	—	79	2	no	—
659	#478	—	79	2	no	—
660	#478	—	79	2	no	—
661	#478	—	79	2	no	—
662	#478	—	79	2	no	—
663	#478	—	79	2	no	—
664	#478	—	79	2	no	—
665	#478	C₂×D₇₉	1	2	yes	complemented
666	#478	C₂×D₇₉	1	2	yes	complemented
667	#476	—	79	2	no	—
668	#476	—	79	2	no	—
669	#476	—	79	2	no	—
670	#476	—	79	2	no	—
671	#476	—	79	2	no	—
672	#476	—	79	2	no	—
673	#476	—	79	2	no	—
674	#476	C₂×D₇₉	1	2	yes	complemented
675	#474	—	79	2	no	—
676	#474	—	79	2	no	—
677	#474	—	79	2	no	—
678	#474	—	79	2	no	—
679	#474	—	79	2	no	—
680	#474	—	79	2	no	—
681	#474	—	79	2	no	—
682	#474	C₂×D₇₉	1	2	yes	complemented
683	#428	—	79	1	no	—
684	#428	—	79	1	no	—
685	#428	—	79	1	no	—
686	#428	—	79	2	no	—
687	#428	—	79	2	no	—
688	#428	C₂×D₇₉	1	1	yes	characteristic, complemented
689	#427	—	79	1	no	—
690	#427	—	79	1	no	—
691	#427	—	79	1	no	—
692	#427	—	79	1	no	—
693	#427	—	79	1	no	—
694	#427	—	79	1	no	—
695	#427	—	79	1	no	—
696	#427	C₂×D₇₉	1	1	yes	characteristic, complemented
697	C₂×#107	—	79	1	no	—
698	C₂×#107	—	79	2	no	—
699	C₂×#107	—	79	1	no	—
700	C₂×#106	—	79	1	no	—
701	C₂×#106	—	79	2	no	—
702	C₂×#106	—	79	1	no	—
703	#424	—	79	1	no	—
704	#424	—	79	1	no	—
705	#424	—	79	1	no	—
706	#424	—	79	2	no	—
707	#424	—	79	2	no	—
708	#424	C₂×D₇₉	1	1	yes	characteristic, complemented
709	C₂×C₄⋊C₈	—	79	2	no	—
710	C₂×C₄⋊C₈	—	79	2	no	—
711	#418	—	79	1	no	—
712	#418	—	79	1	no	—
713	#418	—	79	1	no	—
714	#418	—	79	2	no	—
715	#418	—	79	2	no	—
716	#418	C₂×D₇₉	1	1	yes	characteristic
717	C₂×#102	—	79	1	no	—
718	C₂×#102	—	79	1	no	—
719	C₂×#102	—	79	1	no	—
720	C₂×#102	—	79	2	no	—
721	C₂×#102	—	79	2	no	—
722	C₂×#102	—	79	2	no	—
723	C₂×#102	—	79	2	no	—
724	C₂×#102	—	79	2	no	—
725	C₂×#102	—	79	2	no	—
726	C₂×#102	C₂×D₇₉	1	1	yes	characteristic
727	C₂⁵	—	158	1	no	—
728	C₂²×Q₈	—	158	2	no	—
729	C₂²×D₄	—	79	8	no	—
730	C₂²×D₄	—	79	2	no	—
731	C₂²×D₄	—	79	2	no	—
732	C₂²×D₄	—	79	1	no	—
733	C₂²×D₄	—	158	1	no	—
734	C₂²×D₄	—	158	1	no	—
735	C₂²×D₄	—	158	4	no	—
736	C₂²×D₄	—	158	1	no	—
737	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
738	C₂³×C₄	—	79	1	no	—
739	C₂³×C₄	—	158	2	no	—
740	C₂³×C₄	—	158	2	no	—
741	C₂³×C₄	—	158	1	no	—
742	C₂×M₁₆	—	79	1	no	—
743	C₂×M₁₆	—	79	2	no	—
744	C₂×M₁₆	—	158	4	no	—
745	C₂×M₁₆	C₂²×D₇₉	1	1	yes	characteristic
746	C₂²×C₈	—	79	1	no	—
747	C₂²×C₈	—	79	1	no	—
748	C₂²×C₈	—	79	1	no	—
749	C₂²×C₈	—	79	1	no	—
750	C₂²×C₈	—	79	1	no	—
751	C₂²×C₈	—	79	2	no	—
752	C₂²×C₈	—	158	4	no	—
753	C₂²×C₈	C₂²×D₇₉	1	1	yes	characteristic
754	C₄⋊Q₈	—	2	1	no	—
755	C₄⋊Q₈	—	79	2	no	—
756	C₄⋊Q₈	—	79	2	no	—
757	C₄⋊Q₈	—	79	2	no	—
758	C₄⋊Q₈	—	158	1	no	—
759	C₄⋊Q₈	—	158	2	no	—
760	C₄⋊Q₈	—	158	2	no	—
761	C₄⋊Q₈	—	158	2	no	—
762	C₄⋊Q₈	—	158	1	no	—
763	C₄⋊Q₈	—	158	2	no	—
764	C₄⋊Q₈	—	158	1	no	—
765	C₄⋊Q₈	C₂²×D₇₉	1	2	yes	complemented
766	#125	—	2	1	no	—
767	#125	—	79	2	no	—
768	#125	—	79	2	no	—
769	#125	—	79	2	no	—
770	#125	—	158	1	no	—
771	#125	—	158	2	no	—
772	#125	—	158	2	no	—
773	#125	—	158	2	no	—
774	#125	—	158	2	no	—
775	#125	—	158	1	no	—
776	#125	—	158	1	no	—
777	#125	C₂²×D₇₉	1	2	yes	complemented
778	C₂²⋊Q₈	—	2	2	no	—
779	C₂²⋊Q₈	—	158	2	no	—
780	C₂²⋊Q₈	—	158	2	no	—
781	C₂²⋊Q₈	—	158	2	no	—
782	C₂²⋊Q₈	—	158	2	no	—
783	C₂²⋊Q₈	—	158	2	no	—
784	C₂²⋊Q₈	—	158	2	no	—
785	C₂²⋊Q₈	—	158	2	no	—
786	C₄×D₄	—	2	1	no	—
787	C₄×D₄	—	2	1	no	—
788	C₄×D₄	—	79	2	no	—
789	C₄×D₄	—	79	2	no	—
790	C₄×D₄	—	79	2	no	—
791	C₄×D₄	—	79	2	no	—
792	C₄×D₄	—	79	2	no	—
793	C₄×D₄	—	79	2	no	—
794	C₄×D₄	—	158	1	no	—
795	C₄×D₄	—	158	1	no	—
796	C₄×D₄	—	158	2	no	—
797	C₄×D₄	—	158	2	no	—
798	C₄×D₄	—	158	2	no	—
799	C₄×D₄	—	158	2	no	—
800	C₄×D₄	—	158	2	no	—
801	C₄×D₄	—	158	2	no	—
802	C₄×D₄	—	158	2	no	—
803	C₄×D₄	—	158	2	no	—
804	C₄×D₄	—	158	1	no	—
805	C₄×D₄	—	158	1	no	—
806	C₄×D₄	—	158	1	no	—
807	C₄×D₄	—	158	1	no	—
808	C₄×D₄	C₂²×D₇₉	1	2	yes	—
809	C₄×D₄	C₂²×D₇₉	1	2	yes	—
810	#117	—	79	1	no	—
811	#117	—	79	1	no	—
812	#117	—	79	1	no	—
813	#117	—	79	2	no	—
814	#117	—	79	2	no	—
815	#117	—	79	1	no	—
816	#117	—	79	1	no	—
817	#117	—	79	1	no	—
818	#117	—	79	1	no	—
819	#117	—	79	1	no	—
820	#117	—	79	1	no	—
821	#117	—	158	1	no	—
822	#117	—	158	1	no	—
823	#117	—	158	1	no	—
824	#117	—	158	1	no	—
825	#117	C₂²×D₇₉	1	1	yes	characteristic
826	#117	C₂²×D₇₉	1	1	yes	characteristic
827	#117	C₂²×D₇₉	1	1	yes	characteristic
828	C₂×C₄⋊C₄	—	79	1	no	—
829	C₂×C₄⋊C₄	—	79	1	no	—
830	C₂×C₄⋊C₄	—	79	1	no	—
831	C₂×C₄⋊C₄	—	79	2	no	—
832	C₂×C₄⋊C₄	—	79	2	no	—
833	C₂×C₄⋊C₄	—	79	1	no	—
834	C₂×C₄⋊C₄	—	79	1	no	—
835	C₂×C₄⋊C₄	—	79	1	no	—
836	C₂×C₄⋊C₄	—	79	1	no	—
837	C₂×C₄⋊C₄	—	158	1	no	—
838	C₂×C₄⋊C₄	—	158	1	no	—
839	C₂×C₄⋊C₄	—	158	2	no	—
840	C₂×C₄⋊C₄	—	158	2	no	—
841	C₂×C₄⋊C₄	—	158	2	no	—
842	C₂×C₄⋊C₄	—	158	1	no	—
843	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
844	C₂×C₂²⋊C₄	—	2	2	no	—
845	C₂×C₂²⋊C₄	—	79	2	no	—
846	C₂×C₂²⋊C₄	—	158	2	no	—
847	C₂×C₂²⋊C₄	—	158	2	no	—
848	C₂×C₂²⋊C₄	—	158	2	no	—
849	C₂×C₂²⋊C₄	—	158	2	no	—
850	C₂×C₂²⋊C₄	—	158	2	no	—
851	C₂×C₂²⋊C₄	—	158	1	no	—
852	C₂×C₂²⋊C₄	—	158	1	no	—
853	C₂×C₂²⋊C₄	—	158	2	no	—
854	C₂×C₂²⋊C₄	—	158	2	no	—
855	C₂×C₂²⋊C₄	—	158	2	no	—
856	C₂×C₂²⋊C₄	—	158	2	no	—
857	C₂×C₄²	—	79	2	no	—
858	C₂×C₄²	—	158	1	no	—
859	C₂×C₄²	—	158	1	no	—
860	#107	—	79	1	no	—
861	#107	—	79	1	no	—
862	#107	—	79	2	no	—
863	#107	—	79	1	no	—
864	#107	—	79	1	no	—
865	#107	—	79	1	no	—
866	#107	—	79	1	no	—
867	#107	—	79	2	no	—
868	#107	—	79	2	no	—
869	#107	C₂²×D₇₉	1	1	yes	characteristic, complemented
870	#107	C₂²×D₇₉	1	1	yes	characteristic, complemented
871	#107	C₂²×D₇₉	1	2	yes	complemented
872	#106	—	79	1	no	—
873	#106	—	79	1	no	—
874	#106	—	79	2	no	—
875	#106	—	79	1	no	—
876	#106	—	79	1	no	—
877	#106	—	79	1	no	—
878	#106	—	79	1	no	—
879	#106	—	79	2	no	—
880	#106	—	79	2	no	—
881	#106	C₂²×D₇₉	1	1	yes	characteristic, complemented
882	#106	C₂²×D₇₉	1	1	yes	characteristic, complemented
883	#106	C₂²×D₇₉	1	2	yes	complemented
884	C₄⋊C₈	—	79	2	no	—
885	C₄⋊C₈	—	79	2	no	—
886	C₄⋊C₈	—	79	2	no	—
887	C₄⋊C₈	—	79	2	no	—
888	C₄⋊C₈	—	79	2	no	—
889	C₄⋊C₈	—	79	2	no	—
890	C₄⋊C₈	C₂²×D₇₉	1	2	yes	complemented
891	C₄⋊C₈	C₂²×D₇₉	1	2	yes	complemented
892	#102	—	79	2	no	—
893	#102	—	79	2	no	—
894	#102	—	79	2	no	—
895	#102	—	79	2	no	—
896	#102	—	79	2	no	—
897	#102	—	79	2	no	—
898	#102	—	79	2	no	—
899	#102	—	79	2	no	—
900	#102	—	79	2	no	—
901	#102	—	79	2	no	—
902	#102	—	79	2	no	—
903	#102	—	79	2	no	—
904	#102	C₂²×D₇₉	1	2	yes	—
905	#102	C₂²×D₇₉	1	2	yes	—
906	#102	C₂²×D₇₉	1	2	yes	—
907	#102	C₂²×D₇₉	1	2	yes	—
908	C₂⁴	—	2	1	no	—
909	C₂⁴	—	79	1	no	—
910	C₂⁴	—	632	2	no	—
911	C₂⁴	—	632	2	no	—
912	C₂⁴	—	158	2	no	—
913	C₂⁴	—	158	2	no	—
914	C₂⁴	—	158	8	no	—
915	C₂⁴	—	158	1	no	—
916	C₂×Q₈	—	2	2	no	—
917	C₂×Q₈	—	632	4	no	—
918	C₂×Q₈	—	158	2	no	—
919	C₂×Q₈	—	158	2	no	—
920	C₂×Q₈	—	158	2	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	2	1	no	—
923	C₂×D₄	—	79	8	no	—
924	C₂×D₄	—	79	8	no	—
925	C₂×D₄	—	79	4	no	—
926	C₂×D₄	—	79	2	no	—
927	C₂×D₄	—	158	8	no	—
928	C₂×D₄	—	158	8	no	—
929	C₂×D₄	—	158	4	no	—
930	C₂×D₄	—	158	4	no	—
931	C₂×D₄	—	158	2	no	—
932	C₂×D₄	—	158	2	no	—
933	C₂×D₄	—	158	8	no	—
934	C₂×D₄	—	158	2	no	—
935	C₂×D₄	—	158	1	no	—
936	C₂×D₄	Q₈×D₇₉	1	4	yes	complemented
937	C₂×D₄	C₂³×D₇₉	1	2	yes	—
938	C₂²×C₄	—	2	1	no	—
939	C₂²×C₄	—	2	2	no	—
940	C₂²×C₄	—	2	2	no	—
941	C₂²×C₄	—	79	1	no	—
942	C₂²×C₄	—	79	4	no	—
943	C₂²×C₄	—	79	4	no	—
944	C₂²×C₄	—	79	1	no	—
945	C₂²×C₄	—	79	1	no	—
946	C₂²×C₄	—	79	1	no	—
947	C₂²×C₄	—	79	1	no	—
948	C₂²×C₄	—	79	2	no	—
949	C₂²×C₄	—	79	2	no	—
950	C₂²×C₄	—	632	2	no	—
951	C₂²×C₄	—	632	4	no	—
952	C₂²×C₄	—	632	4	no	—
953	C₂²×C₄	—	158	1	no	—
954	C₂²×C₄	—	158	1	no	—
955	C₂²×C₄	—	158	1	no	—
956	C₂²×C₄	—	158	1	no	—
957	C₂²×C₄	—	158	2	no	—
958	C₂²×C₄	—	158	2	no	—
959	C₂²×C₄	—	158	2	no	—
960	C₂²×C₄	—	158	2	no	—
961	C₂²×C₄	—	158	2	no	—
962	C₂²×C₄	—	158	2	no	—
963	C₂²×C₄	—	158	1	no	—
964	C₂²×C₄	—	158	2	no	—
965	C₂²×C₄	—	158	2	no	—
966	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
967	M₁₆	—	2	2	no	—
968	M₁₆	—	158	4	no	—
969	M₁₆	—	158	2	no	—
970	C₂×C₈	—	2	2	no	—
971	C₂×C₈	—	79	1	no	—
972	C₂×C₈	—	79	2	no	—
973	C₂×C₈	—	79	1	no	—
974	C₂×C₈	—	158	2	no	—
975	C₂×C₈	—	158	2	no	—
976	C₂×C₈	—	158	2	no	—
977	C₂×C₈	—	158	2	no	—
978	C₂×C₈	—	158	4	no	—
979	C₂×C₈	—	158	2	no	—
980	C₂×C₈	C₂³×D₇₉	1	1	yes	characteristic
981	C₂×C₈	C₂³×D₇₉	1	2	yes	—
982	C₂×C₈	C₂³×D₇₉	1	1	yes	characteristic
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	79	2	no	—
988	C₄⋊C₄	—	79	2	no	—
989	C₄⋊C₄	—	79	1	no	—
990	C₄⋊C₄	—	79	1	no	—
991	C₄⋊C₄	—	79	2	no	—
992	C₄⋊C₄	—	79	1	no	—
993	C₄⋊C₄	—	79	1	no	—
994	C₄⋊C₄	—	79	1	no	—
995	C₄⋊C₄	—	79	1	no	—
996	C₄⋊C₄	—	158	2	no	—
997	C₄⋊C₄	—	158	2	no	—
998	C₄⋊C₄	—	158	1	no	—
999	C₄⋊C₄	—	158	1	no	—
1000	C₄⋊C₄	—	158	1	no	—
1001	C₄⋊C₄	—	158	1	no	—
1002	C₄⋊C₄	—	158	2	no	—
1003	C₄⋊C₄	—	158	2	no	—
1004	C₄⋊C₄	—	158	2	no	—
1005	C₄⋊C₄	—	158	2	no	—
1006	C₄⋊C₄	—	158	2	no	—
1007	C₄⋊C₄	—	158	2	no	—
1008	C₄⋊C₄	—	158	2	no	—
1009	C₄⋊C₄	—	158	2	no	—
1010	C₄⋊C₄	—	158	1	no	—
1011	C₄⋊C₄	—	158	2	no	—
1012	C₄⋊C₄	D₄×D₇₉	1	1	yes	characteristic
1013	C₄⋊C₄	D₄×D₇₉	1	1	yes	characteristic
1014	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1015	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1016	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1017	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1018	C₄⋊C₄	C₂³×D₇₉	1	1	yes	characteristic
1019	C₂²⋊C₄	—	2	1	no	—
1020	C₂²⋊C₄	—	2	1	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	79	2	no	—
1024	C₂²⋊C₄	—	79	2	no	—
1025	C₂²⋊C₄	—	79	2	no	—
1026	C₂²⋊C₄	—	158	2	no	—
1027	C₂²⋊C₄	—	158	2	no	—
1028	C₂²⋊C₄	—	158	1	no	—
1029	C₂²⋊C₄	—	158	1	no	—
1030	C₂²⋊C₄	—	158	1	no	—
1031	C₂²⋊C₄	—	158	1	no	—
1032	C₂²⋊C₄	—	158	2	no	—
1033	C₂²⋊C₄	—	158	2	no	—
1034	C₂²⋊C₄	—	158	1	no	—
1035	C₂²⋊C₄	—	158	1	no	—
1036	C₂²⋊C₄	—	158	2	no	—
1037	C₂²⋊C₄	—	158	2	no	—
1038	C₂²⋊C₄	D₄×D₇₉	1	2	yes	—
1039	C₄²	—	2	1	no	—
1040	C₄²	—	2	1	no	—
1041	C₄²	—	79	2	no	—
1042	C₄²	—	79	2	no	—
1043	C₄²	—	79	2	no	—
1044	C₄²	—	158	1	no	—
1045	C₄²	—	158	1	no	—
1046	C₄²	—	158	1	no	—
1047	C₄²	—	158	1	no	—
1048	C₄²	—	158	1	no	—
1049	C₄²	—	158	1	no	—
1050	C₄²	C₂³×D₇₉	1	2	yes	—
1051	C₂³	—	2	2	no	—
1052	C₂³	—	2	4	no	—
1053	C₂³	—	8	1	no	—
1054	C₂³	—	8	1	no	—
1055	C₂³	—	316	4	no	—
1056	C₂³	—	316	4	no	—
1057	C₂³	—	79	1	no	—
1058	C₂³	—	79	4	no	—
1059	C₂³	—	79	1	no	—
1060	C₂³	—	632	1	no	—
1061	C₂³	—	632	1	no	—
1062	C₂³	—	632	2	no	—
1063	C₂³	—	632	2	no	—
1064	C₂³	—	632	16	no	—
1065	C₂³	—	158	8	no	—
1066	C₂³	—	158	8	no	—
1067	C₂³	—	158	2	no	—
1068	C₂³	—	158	2	no	—
1069	C₂³	—	158	2	no	—
1070	C₂³	—	158	4	no	—
1071	C₂³	C₂×D₄×D₇₉	1	1	yes	characteristic
1072	Q₈	—	8	2	no	—
1073	Q₈	—	632	2	no	—
1074	Q₈	—	632	2	no	—
1075	Q₈	—	632	2	no	—
1076	D₄	—	2	4	no	—
1077	D₄	—	2	2	no	—
1078	D₄	—	79	4	no	—
1079	D₄	—	158	8	no	—
1080	D₄	—	158	8	no	—
1081	D₄	—	158	4	no	—
1082	D₄	—	158	2	no	—
1083	D₄	C₂×Q₈×D₇₉	1	4	yes	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	8	2	no	—
1090	C₂×C₄	—	8	2	no	—
1091	C₂×C₄	—	8	1	no	—
1092	C₂×C₄	—	316	2	no	—
1093	C₂×C₄	—	316	2	no	—
1094	C₂×C₄	—	316	4	no	—
1095	C₂×C₄	—	316	2	no	—
1096	C₂×C₄	—	316	2	no	—
1097	C₂×C₄	—	79	4	no	—
1098	C₂×C₄	—	79	1	no	—
1099	C₂×C₄	—	79	1	no	—
1100	C₂×C₄	—	79	4	no	—
1101	C₂×C₄	—	79	4	no	—
1102	C₂×C₄	—	79	2	no	—
1103	C₂×C₄	—	79	2	no	—
1104	C₂×C₄	—	79	2	no	—
1105	C₂×C₄	—	79	2	no	—
1106	C₂×C₄	—	79	2	no	—
1107	C₂×C₄	—	79	2	no	—
1108	C₂×C₄	—	632	2	no	—
1109	C₂×C₄	—	632	2	no	—
1110	C₂×C₄	—	632	2	no	—
1111	C₂×C₄	—	632	2	no	—
1112	C₂×C₄	—	632	2	no	—
1113	C₂×C₄	—	632	1	no	—
1114	C₂×C₄	—	632	2	no	—
1115	C₂×C₄	—	632	2	no	—
1116	C₂×C₄	—	158	4	no	—
1117	C₂×C₄	—	158	4	no	—
1118	C₂×C₄	—	158	1	no	—
1119	C₂×C₄	—	158	1	no	—
1120	C₂×C₄	—	158	1	no	—
1121	C₂×C₄	—	158	1	no	—
1122	C₂×C₄	—	158	2	no	—
1123	C₂×C₄	C₂×D₄×D₇₉	1	2	yes	—
1124	C₂×C₄	C₂×D₄×D₇₉	1	2	yes	—
1125	C₂×C₄	C₂×D₄×D₇₉	1	1	yes	characteristic
1126	C₂×C₄	C₂×Q₈×D₇₉	1	2	yes	—
1127	C₂×C₄	#41×D₇₉	1	2	yes	—
1128	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1129	C₈	—	2	1	no	—
1130	C₈	—	2	1	no	—
1131	C₈	—	2	2	no	—
1132	C₈	—	158	1	no	—
1133	C₈	—	158	1	no	—
1134	C₈	—	158	2	no	—
1135	C₂²	—	2	1	no	—
1136	C₂²	—	2	1	no	—
1137	C₂²	—	2	4	no	—
1138	C₂²	—	4	2	no	—
1139	C₂²	—	4	2	no	—
1140	C₂²	—	8	4	no	—
1141	C₂²	—	316	16	no	—
1142	C₂²	—	316	2	no	—
1143	C₂²	—	316	2	no	—
1144	C₂²	—	79	2	no	—
1145	C₂²	—	79	2	no	—
1146	C₂²	—	79	2	no	—
1147	C₂²	—	79	2	no	—
1148	C₂²	—	632	4	no	—
1149	C₂²	—	632	8	no	—
1150	C₂²	—	158	8	no	—
1151	C₂²	—	158	4	no	—
1152	C₂²	—	158	1	no	—
1153	C₂²	—	158	1	no	—
1154	C₂²	C₂²⋊Q₈×D₇₉	1	2	yes	—
1155	C₂²	C₂²×D₄×D₇₉	1	1	yes	characteristic
1156	C₄	—	2	2	no	—
1157	C₄	—	2	2	no	—
1158	C₄	—	4	1	no	—
1159	C₄	—	4	2	no	—
1160	C₄	—	4	1	no	—
1161	C₄	—	4	1	no	—
1162	C₄	—	4	1	no	—
1163	C₄	—	316	1	no	—
1164	C₄	—	316	2	no	—
1165	C₄	—	316	1	no	—
1166	C₄	—	316	1	no	—
1167	C₄	—	316	1	no	—
1168	C₄	—	79	2	no	—
1169	C₄	—	79	2	no	—
1170	C₄	—	158	2	no	—
1171	C₄	—	158	2	no	—
1172	C₄	C₂²⋊Q₈×D₇₉	1	2	yes	—
1173	C₄	C₂²×Q₈×D₇₉	1	1	yes	characteristic
1174	C₄	C₂×#41×D₇₉	1	1	yes	characteristic
1175	C₂	—	2	2	no	—
1176	C₂	—	4	4	no	—
1177	C₂	—	316	4	no	—
1178	C₂	—	79	4	no	—
1179	C₂	—	158	2	no	—
1180	C₂	C₂×C₂²⋊Q₈×D₇₉	1	1	yes	characteristic
1181	C₂	#576×D₇₉	1	1	yes	characteristic
1182	C₂	#577×D₇₉	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₇₉
commutator, cosocle	C₂×C₄×C₇₉	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇₉
Fitting	C₇₉×#3081	C₂
socle	C₂²×C₇₉	C₂³×D₄
prime radical	C₂²×D₄×D₇₉	C₂²
hypercenter	#3081	D₇₉
hypocenter	C₇₉	C₂×#3081
LCS	G ▷ C₂×C₄×C₇₉ ▷ C₂×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3081

Complements

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

N	H ≅ G/N	type
1. #544×D₇₉	C₂	semidirect
3. #23773234	C₂	semidirect
4. #23773233	C₂	semidirect
5. #23773232	C₂	semidirect
6. #23773231	C₂	semidirect
7. #23773230	C₂	semidirect
8. #23773229	C₂	semidirect
9. #23773228	C₂	semidirect
10. #23773227	C₂	semidirect
11. #23773226	C₂	semidirect
12. #23773225	C₂	semidirect
13. #23773224	C₂	semidirect
14. #478×D₇₉	C₂	semidirect
15. #478×D₇₉	C₂	semidirect
16. #476×D₇₉	C₂	semidirect
17. #474×D₇₉	C₂	semidirect
18. #428×D₇₉	C₂	semidirect
19. #427×D₇₉	C₂	semidirect
20. #424×D₇₉	C₂	semidirect
23. C₇₉×#3081	C₂	semidirect
27. #19099194	C₂²	semidirect
29. #19099193	C₂²	semidirect
31. #19099191	C₂²	semidirect
32. #19099191	C₂²	semidirect
34. #19099190	C₂²	semidirect
36. C₄⋊Q₈×D₇₉	C₂²	semidirect
38. #125×D₇₉	C₂²	semidirect
57. #19098866	C₂²	semidirect
58. #19098866	C₂²	semidirect
59. #19098865	C₂²	semidirect
60. #19098865	C₂²	semidirect
61. #19098864	C₂²	semidirect
62. #19098864	C₂²	semidirect
63. #19098863	C₂²	semidirect
64. #19098863	C₂²	semidirect
65. #19098862	C₂²	semidirect
66. #19098862	C₂²	semidirect
67. #19098861	C₂²	semidirect
68. #19098861	C₂²	semidirect
69. #19098860	C₂²	semidirect
70. #19098860	C₂²	semidirect
71. #19098854	C₂²	semidirect
72. #19098853	C₂²	semidirect
73. #19098852	C₂²	semidirect
74. #19098852	C₂²	semidirect
75. #19098851	C₂²	semidirect
76. #19098851	C₂²	semidirect
77. #19098850	C₂²	semidirect
78. #19098844	C₂²	semidirect
79. #19098843	C₂²	semidirect
80. #19098842	C₂²	semidirect
81. #19098842	C₂²	semidirect
82. #19098841	C₂²	semidirect
83. #19098841	C₂²	semidirect
84. #19098840	C₂²	semidirect
85. #19098606	C₂²	semidirect
86. #19098605	C₂²	semidirect
87. #19098604	C₂²	semidirect
88. #19098603	C₂²	semidirect
89. #19098602	C₂²	semidirect
90. #19098601	C₂²	semidirect
91. #19098600	C₂²	semidirect
92. #19098600	C₂²	semidirect
93. #19098599	C₂²	semidirect
94. #19098599	C₂²	semidirect
95. #19098598	C₂²	semidirect
96. #19098598	C₂²	semidirect
97. #107×D₇₉	C₂²	semidirect
98. #107×D₇₉	C₂²	semidirect
99. #107×D₇₉	C₂²	semidirect
100. #106×D₇₉	C₂²	semidirect
101. #106×D₇₉	C₂²	semidirect
102. #106×D₇₉	C₂²	semidirect
103. #19098591	C₂²	semidirect
104. #19098590	C₂²	semidirect
105. #19098589	C₂²	semidirect
106. #19098588	C₂²	semidirect
107. #19098588	C₂²	semidirect
108. C₄⋊C₈×D₇₉	C₂²	semidirect
109. C₄⋊C₈×D₇₉	C₂²	semidirect
124. #544×C₇₉	C₂²	semidirect
126. #478×C₇₉	C₂²	semidirect
127. #478×C₇₉	C₂²	semidirect
128. #476×C₇₉	C₂²	semidirect
129. #474×C₇₉	C₂²	semidirect
130. #428×C₇₉	C₂²	semidirect
131. #427×C₇₉	C₂²	semidirect
132. #424×C₇₉	C₂²	semidirect
142. C₂×D₄×D₇₉	Q₈	semidirect
160. #14579161	C₂³	semidirect
165. #14579160	C₂³	semidirect
166. #14579160	C₂³	semidirect
170. #14579153	C₂³	semidirect
173. #14579152	C₂³	semidirect
174. #14579152	C₂³	semidirect
251. #14579095	C₂³	semidirect
252. #14579095	C₂³	semidirect
253. #14579095	C₂³	semidirect
254. #14579094	C₂³	semidirect
255. #14579094	C₂³	semidirect
256. #14579094	C₂³	semidirect
257. #14579094	C₂³	semidirect
258. #14579094	C₂³	semidirect
259. #14579094	C₂³	semidirect
260. #14579093	C₂³	semidirect
261. #14579093	C₂³	semidirect
262. #14579093	C₂³	semidirect
263. #14579092	C₂³	semidirect
264. #14579092	C₂³	semidirect
265. #14579092	C₂³	semidirect
266. #14579092	C₂³	semidirect
267. #14579092	C₂³	semidirect
268. #14579092	C₂³	semidirect
269. C₄⋊(C₇₉⋊C₈)	C₂³	semidirect
270. C₄⋊(C₇₉⋊C₈)	C₂³	semidirect
271. Dic₇₉⋊C₈	C₂³	semidirect
272. Dic₇₉⋊C₈	C₂³	semidirect
273. Dic₇₉⋊C₈	C₂³	semidirect
274. Dic₇₉⋊C₈	C₂³	semidirect
291. C₄⋊Q₈×C₇₉	C₂³	semidirect
293. #125×C₇₉	C₂³	semidirect
304. #107×C₇₉	C₂³	semidirect
305. #107×C₇₉	C₂³	semidirect
306. #107×C₇₉	C₂³	semidirect
307. #106×C₇₉	C₂³	semidirect
308. #106×C₇₉	C₂³	semidirect
309. #106×C₇₉	C₂³	semidirect
310. C₄⋊C₈×C₇₉	C₂³	semidirect
311. C₄⋊C₈×C₇₉	C₂³	semidirect
329. C₂×D₃₁₆	C₂×Q₈	semidirect
339. D₄×D₇₉	C₂×Q₈	semidirect
429. C₂×D₄×C₇₉	C₂×Q₈	semidirect
591. D₇₉	#3081	direct (N × H)
605. #3081	D₇₉	direct (N × H)
615. C₇₉	C₂×#3081	semidirect
627. #544	C₂×D₇₉	semidirect
665. #478	C₂×D₇₉	semidirect
666. #478	C₂×D₇₉	semidirect
674. #476	C₂×D₇₉	semidirect
682. #474	C₂×D₇₉	semidirect
688. #428	C₂×D₇₉	semidirect
696. #427	C₂×D₇₉	semidirect
708. #424	C₂×D₇₉	semidirect
765. C₄⋊Q₈	C₂²×D₇₉	semidirect
777. #125	C₂²×D₇₉	semidirect
869. #107	C₂²×D₇₉	semidirect
870. #107	C₂²×D₇₉	semidirect
871. #107	C₂²×D₇₉	semidirect
881. #106	C₂²×D₇₉	semidirect
882. #106	C₂²×D₇₉	semidirect
883. #106	C₂²×D₇₉	semidirect
890. C₄⋊C₈	C₂²×D₇₉	semidirect
891. C₄⋊C₈	C₂²×D₇₉	semidirect
936. C₂×D₄	Q₈×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
#544×D₇₉	2
#518×D₇₉	2
#23773234	2
#23773233	2
#23773232	2
#23773231	2
#23773230	2
#23773229	2
#23773228	2
#23773227	2
#23773226	2
#23773225	2
#23773224	2
#478×D₇₉	2
#476×D₇₉	2
#474×D₇₉	2
#428×D₇₉	2
#427×D₇₉	2
#424×D₇₉	2
#418×D₇₉	2
C₂×#102×D₇₉	2
C₇₉×#3081	2
C₂×#3081	79

Subgroups — #3081×D79 #35155820

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3081×D₇₉ #35155820