Subgroups — #3449×D₇₉ #35195100

Order 20224.

11662 conjugacy classes of subgroups.

The subgroup lattice has 1128 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	#23776733	C₂	1	1	yes	maximal, characteristic, complemented
3	#23776732	C₂	1	4	yes	maximal, complemented
4	#23776731	C₂	1	4	yes	maximal, complemented
5	#23776730	C₂	1	8	yes	maximal, complemented
6	#23776729	C₂	1	2	yes	maximal, complemented
7	#23776728	C₂	1	4	yes	maximal, complemented
8	#23776727	C₂	1	4	yes	maximal, complemented
9	#23776726	C₂	1	4	yes	maximal, complemented
10	#537×D₇₉	C₂	1	4	yes	maximal, complemented
11	#536×D₇₉	C₂	1	4	yes	maximal, complemented
12	#535×D₇₉	C₂	1	4	yes	maximal, complemented
13	#534×D₇₉	C₂	1	4	yes	maximal, complemented
14	#532×D₇₉	C₂	1	4	yes	maximal, complemented
15	#525×D₇₉	C₂	1	8	yes	maximal, complemented
16	C₂×#117×D₇₉	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₉×#3449	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂²×#11929625	C₂²	1	2	yes	complemented
19	C₂²×#11929624	C₂²	1	2	yes	complemented
20	C₂²×#11929624	C₂²	1	4	yes	complemented
21	C₂²×#11929623	C₂²	1	4	yes	complemented
22	C₂²×#11929623	C₂²	1	2	yes	complemented
23	C₂×#41×D₇₉	—	2	32	no	—
24	C₂×#41×D₇₉	C₂²	1	4	yes	—
25	C₂×#41×D₇₉	C₂²	1	4	yes	—
26	C₂×#41×D₇₉	C₂²	1	4	yes	complemented
27	C₂×#41×D₇₉	C₂²	1	4	yes	complemented
28	C₂×#41×D₇₉	C₂²	1	4	yes	complemented
29	C₂×#41×D₇₉	C₂²	1	4	yes	complemented
30	C₂×#41×D₇₉	C₂²	1	4	yes	complemented
31	C₂×#41×D₇₉	C₂²	1	4	yes	complemented
32	C₂²×Q₈×D₇₉	C₂²	1	2	yes	complemented
33	C₂²×D₄×D₇₉	C₂²	1	4	yes	—
34	C₂²×D₄×D₇₉	C₂²	1	2	yes	complemented
35	C₂³×C₄×D₇₉	C₂²	1	1	yes	characteristic
36	C₂³×C₄×D₇₉	C₂²	1	4	yes	complemented
37	#19099144	C₂²	1	4	yes	complemented
38	#19099143	C₂²	1	16	yes	complemented
39	#19099142	C₂²	1	16	yes	complemented
40	#19099141	C₂²	1	8	yes	complemented
41	#19099140	C₂²	1	16	yes	complemented
42	#19099139	C₂²	1	4	yes	complemented
43	#19099138	C₂²	1	8	yes	complemented
44	#19099137	C₂²	1	4	yes	complemented
45	#19099136	C₂²	1	16	yes	complemented
46	#19099135	C₂²	1	16	yes	complemented
47	#19099134	C₂²	1	4	yes	complemented
48	#19099133	C₂²	1	8	yes	complemented
49	#19099132	C₂²	1	4	yes	complemented
50	#19099131	C₂²	1	8	yes	complemented
51	#19099130	C₂²	1	4	yes	complemented
52	#19099129	C₂²	1	16	yes	complemented
53	#19099128	C₂²	1	16	yes	complemented
54	#19099127	C₂²	1	4	yes	complemented
55	#19099126	C₂²	1	8	yes	complemented
56	#19099125	C₂²	1	4	yes	complemented
57	#19099124	C₂²	1	16	yes	complemented
58	#19099123	C₂²	1	16	yes	complemented
59	#19099122	C₂²	1	8	yes	complemented
60	#19099121	C₂²	1	16	yes	complemented
61	#19099114	C₂²	1	4	yes	complemented
62	#19099113	C₂²	1	4	yes	complemented
63	#19099112	C₂²	1	8	yes	complemented
64	#19099111	C₂²	1	4	yes	complemented
65	#19099110	C₂²	1	16	yes	complemented
66	#19099109	C₂²	1	8	yes	complemented
67	#19099108	C₂²	1	16	yes	complemented
68	C₄⋊Q₈×D₇₉	C₂²	1	4	yes	complemented
69	#127×D₇₉	C₂²	1	4	yes	complemented
70	#124×D₇₉	C₂²	1	8	yes	complemented
71	#19099076	C₂²	1	16	yes	complemented
72	#19099075	C₂²	1	8	yes	complemented
73	#19099074	C₂²	1	8	yes	complemented
74	#19099073	C₂²	1	16	yes	complemented
75	#19099072	C₂²	1	32	yes	complemented
76	#19099071	C₂²	1	16	yes	complemented
77	#19099070	C₂²	1	8	yes	complemented
78	#19099069	C₂²	1	16	yes	complemented
79	#123×D₇₉	C₂²	1	16	yes	complemented
80	C₂²⋊Q₈×D₇₉	C₂²	1	16	yes	complemented
81	#121×D₇₉	C₂²	1	16	yes	complemented
82	#121×D₇₉	C₂²	1	16	yes	complemented
83	#120×D₇₉	C₂²	1	16	yes	complemented
84	C₄×D₄×D₇₉	C₂²	1	16	yes	complemented
85	C₂×#14579120	C₂²	1	1	yes	characteristic, complemented
86	C₂×#14579119	C₂²	1	2	yes	complemented
87	C₂×#14579118	C₂²	1	2	yes	complemented
88	C₂×#14579117	C₂²	1	2	yes	complemented
89	#117×D₇₉	C₂²	1	4	yes	complemented
90	#117×D₇₉	C₂²	1	4	yes	complemented
91	#117×D₇₉	C₂²	1	4	yes	complemented
92	#117×D₇₉	C₂²	1	4	yes	complemented
93	C₂×C₄⋊C₄×D₇₉	C₂²	1	2	yes	complemented
94	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
95	C₂×C₄²×D₇₉	C₂²	1	2	yes	complemented
96	C₂²×#41×C₇₉	C₂²	1	2	yes	complemented
97	#537×C₇₉	C₂²	1	4	yes	complemented
98	#536×C₇₉	C₂²	1	4	yes	complemented
99	#535×C₇₉	C₂²	1	4	yes	complemented
100	#534×C₇₉	C₂²	1	4	yes	complemented
101	#532×C₇₉	C₂²	1	4	yes	complemented
102	#525×C₇₉	C₂²	1	8	yes	complemented
103	C₂×#117×C₇₉	C₂²	1	1	yes	characteristic, complemented
104	C₂⁴×D₇₉	C₂³	1	4	yes	—
105	C₂⁴×D₇₉	C₂³	1	1	yes	characteristic
106	C₂×#11929625	—	2	16	no	—
107	C₂×#11929625	C₂³	1	4	yes	—
108	C₂×#11929625	C₂³	1	4	yes	—
109	C₂×#11929625	C₂³	1	4	yes	complemented
110	C₂×#11929625	C₂³	1	4	yes	complemented
111	C₂×#11929624	—	2	16	no	—
112	C₂×#11929624	—	2	32	no	—
113	C₂×#11929624	C₂³	1	8	yes	—
114	C₂×#11929624	C₂³	1	4	yes	—
115	C₂×#11929624	C₂³	1	8	yes	—
116	C₂×#11929624	C₂³	1	4	yes	—
117	C₂×#11929624	C₂³	1	4	yes	complemented
118	C₂×#11929624	C₂³	1	8	yes	complemented
119	C₂×#11929624	C₂³	1	4	yes	complemented
120	C₂×#11929624	C₂³	1	8	yes	complemented
121	C₂×#11929623	—	2	32	no	—
122	C₂×#11929623	—	2	16	no	—
123	C₂×#11929623	C₂³	1	8	yes	—
124	C₂×#11929623	C₂³	1	4	yes	—
125	C₂×#11929623	C₂³	1	4	yes	—
126	C₂×#11929623	C₂³	1	8	yes	—
127	C₂×#11929623	C₂³	1	8	yes	complemented
128	C₂×#11929623	C₂³	1	4	yes	complemented
129	C₂×#11929623	C₂³	1	8	yes	complemented
130	C₂×#11929623	C₂³	1	4	yes	complemented
131	#41×D₇₉	—	2	32	no	—
132	#41×D₇₉	—	2	32	no	—
133	#41×D₇₉	—	2	32	no	—
134	#41×D₇₉	—	2	32	no	—
135	#41×D₇₉	—	2	32	no	—
136	#41×D₇₉	—	2	32	no	—
137	#41×D₇₉	—	2	32	no	—
138	#41×D₇₉	—	2	32	no	—
139	C₂²×Dic₁₅₈	C₂³	1	2	yes	complemented
140	C₂²×Dic₁₅₈	C₂³	1	4	yes	complemented
141	C₂×Q₈×D₇₉	—	2	16	no	—
142	C₂×Q₈×D₇₉	C₂³	1	4	yes	—
143	C₂×Q₈×D₇₉	C₂³	1	4	yes	—
144	C₂×Q₈×D₇₉	C₂³	1	4	yes	complemented
145	C₂×Q₈×D₇₉	C₂³	1	4	yes	complemented
146	C₂²×D₃₁₆	C₂³	1	4	yes	—
147	C₂²×D₃₁₆	C₂³	1	2	yes	complemented
148	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
149	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
150	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	complemented
151	C₂×D₄×D₇₉	—	2	32	no	—
152	C₂×D₄×D₇₉	—	2	16	no	—
153	C₂×D₄×D₇₉	C₂³	1	8	yes	—
154	C₂×D₄×D₇₉	C₂³	1	8	yes	—
155	C₂×D₄×D₇₉	C₂³	1	4	yes	—
156	C₂×D₄×D₇₉	C₂³	1	4	yes	—
157	C₂×D₄×D₇₉	C₂³	1	8	yes	—
158	C₂×D₄×D₇₉	C₂³	1	8	yes	—
159	C₂×D₄×D₇₉	C₂³	1	16	yes	—
160	C₂×D₄×D₇₉	C₂³	1	4	yes	complemented
161	C₂×D₄×D₇₉	C₂³	1	4	yes	complemented
162	C₂³×Dic₇₉	C₂³	1	1	yes	characteristic
163	C₂³×Dic₇₉	C₂³	1	4	yes	complemented
164	C₂²×C₄×D₇₉	—	2	32	no	—
165	C₂²×C₄×D₇₉	D₄	1	16	yes	complemented
166	C₂²×C₄×D₇₉	C₂³	1	8	yes	—
167	C₂²×C₄×D₇₉	C₂³	1	8	yes	—
168	C₂²×C₄×D₇₉	C₂³	1	4	yes	—
169	C₂²×C₄×D₇₉	C₂³	1	4	yes	—
170	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
171	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
172	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
173	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
174	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
175	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
176	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
177	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
178	C₂²×C₄×D₇₉	C₂³	1	4	yes	complemented
179	C₂²×C₄×D₇₉	C₂³	1	4	yes	complemented
180	C₂²×C₄×D₇₉	C₂³	1	8	yes	complemented
181	C₂²×C₄×D₇₉	C₂³	1	8	yes	complemented
182	#14579161	C₂³	1	4	yes	complemented
183	#14579160	C₂³	1	16	yes	complemented
184	#14579159	C₂³	1	8	yes	complemented
185	#14579158	C₂³	1	4	yes	complemented
186	#14579157	C₂³	1	16	yes	complemented
187	#14579157	C₂³	1	8	yes	complemented
188	#14579150	C₂³	1	8	yes	complemented
189	#14579149	C₂³	1	8	yes	complemented
190	#14579148	C₂³	1	8	yes	complemented
191	#14579147	C₂³	1	32	yes	complemented
192	#14579146	C₂³	1	32	yes	complemented
193	#14579145	C₂³	1	16	yes	complemented
194	#14579144	C₂³	1	16	yes	complemented
195	#14579143	C₂³	1	32	yes	complemented
196	#14579142	C₂³	1	16	yes	complemented
197	#14579141	C₂³	1	16	yes	complemented
198	#14579140	C₂³	1	16	yes	complemented
199	#14579139	C₂³	1	32	yes	complemented
200	#14579138	C₂³	1	32	yes	complemented
201	#14579137	C₂³	1	16	yes	complemented
202	#14579136	C₂³	1	16	yes	complemented
203	#14579136	C₂³	1	16	yes	complemented
204	#14579135	C₂³	1	16	yes	complemented
205	#14579135	C₂³	1	16	yes	complemented
206	#14579134	C₂³	1	32	yes	complemented
207	#14579134	C₂³	1	32	yes	complemented
208	#14579133	C₂³	1	32	yes	complemented
209	#14579133	C₂³	1	32	yes	complemented
210	#14579132	C₂³	1	16	yes	complemented
211	#14579132	C₂³	1	16	yes	complemented
212	#14579131	C₂³	1	16	yes	complemented
213	#14579131	C₂³	1	32	yes	complemented
214	#14579130	C₂³	1	16	yes	complemented
215	#14579129	C₂³	1	16	yes	complemented
216	#14579129	C₂³	1	32	yes	complemented
217	C₄×D₃₁₆	C₂³	1	16	yes	complemented
218	D₄×Dic₇₉	C₂³	1	16	yes	complemented
219	#14579123	C₂³	1	16	yes	complemented
220	C₄×C₂²⋊D₇₉	C₂³	1	32	yes	complemented
221	(C₂²⋊D₇₉)⋊C₄	C₂³	1	32	yes	complemented
222	#14579120	C₂³	1	4	yes	complemented
223	#14579120	C₂³	1	4	yes	complemented
224	#14579119	C₂³	1	8	yes	complemented
225	#14579119	C₂³	1	8	yes	complemented
226	#14579118	C₂³	1	8	yes	complemented
227	#14579118	C₂³	1	8	yes	complemented
228	#14579117	C₂³	1	8	yes	complemented
229	#14579117	C₂³	1	8	yes	complemented
230	C₂×C₄⋊Dic₇₉	C₂³	1	2	yes	complemented
231	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	complemented
232	C₄⋊C₄×D₇₉	C₂³	1	8	yes	—
233	C₄⋊C₄×D₇₉	C₂³	1	16	yes	—
234	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
235	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
236	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
237	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
238	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
239	C₂²⋊C₄×D₇₉	C₂³	1	32	yes	—
240	C₂×C₄×Dic₇₉	C₂³	1	4	yes	complemented
241	C₂×C₄×Dic₇₉	C₂³	1	2	yes	complemented
242	C₄²×D₇₉	C₂³	1	4	yes	—
243	C₄²×D₇₉	C₂³	1	4	yes	—
244	C₄²×D₇₉	C₂³	1	4	yes	complemented
245	C₄²×D₇₉	C₂³	1	4	yes	complemented
246	C₂×#41×C₇₉	—	2	16	no	—
247	C₂×#41×C₇₉	C₂³	1	4	yes	—
248	C₂×#41×C₇₉	C₂³	1	4	yes	—
249	C₂×#41×C₇₉	C₂³	1	4	yes	complemented
250	C₂×#41×C₇₉	C₂³	1	4	yes	complemented
251	C₂²×Q₈×C₇₉	C₂³	1	2	yes	complemented
252	C₂²×D₄×C₇₉	C₂³	1	4	yes	—
253	C₂²×D₄×C₇₉	C₂³	1	2	yes	complemented
254	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
255	C₂³×C₄×C₇₉	C₂³	1	4	yes	complemented
256	C₄⋊Q₈×C₇₉	C₂³	1	4	yes	complemented
257	#127×C₇₉	C₂³	1	4	yes	complemented
258	#124×C₇₉	C₂³	1	8	yes	complemented
259	#123×C₇₉	C₂³	1	16	yes	complemented
260	C₂²⋊Q₈×C₇₉	C₂³	1	16	yes	complemented
261	#121×C₇₉	C₂³	1	16	yes	complemented
262	#121×C₇₉	C₂³	1	16	yes	complemented
263	#120×C₇₉	C₂³	1	16	yes	complemented
264	C₄×D₄×C₇₉	C₂³	1	16	yes	complemented
265	#117×C₇₉	C₂³	1	4	yes	complemented
266	#117×C₇₉	C₂³	1	4	yes	complemented
267	C₂×C₄⋊C₄×C₇₉	C₂³	1	2	yes	complemented
268	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
269	C₂×C₄²×C₇₉	C₂³	1	2	yes	complemented
270	C₂³×D₇₉	—	2	16	no	—
271	C₂³×D₇₉	—	4	4	no	—
272	C₂³×D₇₉	—	4	16	no	—
273	C₂³×D₇₉	C₂×D₄	1	8	yes	—
274	C₂³×D₇₉	C₂⁴	1	8	yes	—
275	C₂³×D₇₉	C₂⁴	1	2	yes	—
276	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
277	C₂³×D₇₉	C₂⁴	1	8	yes	—
278	C₂³×D₇₉	C₂⁴	1	4	yes	—
279	C₂³×D₇₉	C₂⁴	1	2	yes	—
280	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
281	#11929625	—	2	16	no	—
282	#11929625	—	2	16	no	—
283	#11929625	—	2	16	no	—
284	#11929625	—	2	16	no	—
285	#11929624	—	2	32	no	—
286	#11929624	—	2	32	no	—
287	#11929624	—	2	32	no	—
288	#11929624	—	2	32	no	—
289	#11929624	—	2	16	no	—
290	#11929624	—	2	16	no	—
291	#11929624	—	2	16	no	—
292	#11929624	—	2	16	no	—
293	#11929623	—	2	32	no	—
294	#11929623	—	2	32	no	—
295	#11929623	—	2	32	no	—
296	#11929623	—	2	32	no	—
297	#11929623	—	2	16	no	—
298	#11929623	—	2	16	no	—
299	#11929623	—	2	16	no	—
300	#11929623	—	2	16	no	—
301	C₂×Dic₁₅₈	—	2	16	no	—
302	C₂×Dic₁₅₈	—	2	8	no	—
303	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
304	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
305	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
306	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
307	Q₈×D₇₉	—	2	16	no	—
308	Q₈×D₇₉	—	2	16	no	—
309	Q₈×D₇₉	—	2	16	no	—
310	Q₈×D₇₉	—	2	16	no	—
311	C₂×D₃₁₆	—	2	16	no	—
312	C₂×D₃₁₆	—	2	8	no	—
313	C₂×D₃₁₆	C₂⁴	1	8	yes	—
314	C₂×D₃₁₆	C₂⁴	1	4	yes	—
315	C₂×D₃₁₆	C₂⁴	1	4	yes	—
316	C₂×D₃₁₆	C₂⁴	1	8	yes	—
317	C₂×D₃₁₆	C₂⁴	1	16	yes	—
318	C₂×C₂²⋊D₇₉	—	2	16	no	—
319	C₂×C₂²⋊D₇₉	—	2	16	no	—
320	C₂×C₂²⋊D₇₉	—	2	16	no	—
321	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
322	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
323	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
324	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
325	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
326	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
327	C₂×C₂²⋊D₇₉	C₂⁴	1	32	yes	—
328	D₄×D₇₉	—	2	16	no	—
329	D₄×D₇₉	—	2	16	no	—
330	D₄×D₇₉	—	2	16	no	—
331	D₄×D₇₉	—	2	16	no	—
332	D₄×D₇₉	—	2	32	no	—
333	D₄×D₇₉	—	2	32	no	—
334	D₄×D₇₉	—	2	32	no	—
335	D₄×D₇₉	—	2	32	no	—
336	D₄×D₇₉	—	4	32	no	—
337	C₂²×Dic₇₉	—	2	16	no	—
338	C₂²×Dic₇₉	C₂×D₄	1	8	yes	complemented
339	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
340	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
341	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
342	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
343	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
344	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
345	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
346	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
347	C₂×C₄×D₇₉	—	2	16	no	—
348	C₂×C₄×D₇₉	—	2	32	no	—
349	C₂×C₄×D₇₉	—	2	32	no	—
350	C₂×C₄×D₇₉	—	2	32	no	—
351	C₂×C₄×D₇₉	—	2	32	no	—
352	C₂×C₄×D₇₉	—	2	16	no	—
353	C₂×C₄×D₇₉	—	2	16	no	—
354	C₂×C₄×D₇₉	—	4	8	no	—
355	C₂×C₄×D₇₉	C₂×D₄	1	16	yes	—
356	C₂×C₄×D₇₉	C₂×D₄	1	8	yes	—
357	C₂×C₄×D₇₉	C₂×D₄	1	8	yes	—
358	C₂×C₄×D₇₉	C₂×D₄	1	16	yes	—
359	C₂×C₄×D₇₉	C₂×D₄	1	8	yes	complemented
360	C₂×C₄×D₇₉	C₂×D₄	1	8	yes	complemented
361	C₂×C₄×D₇₉	C₂×D₄	1	16	yes	complemented
362	C₂×C₄×D₇₉	C₂×D₄	1	16	yes	complemented
363	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
364	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
365	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
366	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
367	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
368	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
369	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
370	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
371	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
372	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
373	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
374	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
375	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
376	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
377	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
378	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
379	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
380	C₂×C₄×D₇₉	C₂⁴	1	1	yes	characteristic
381	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
382	C₄⋊Dic₇₉	C₂⁴	1	16	yes	—
383	Dic₇₉⋊C₄	C₂⁴	1	16	yes	—
384	Dic₇₉⋊C₄	C₂⁴	1	32	yes	—
385	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
386	C₂²⋊Dic₇₉	C₂⁴	1	32	yes	—
387	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
388	(C₂×D₇₉)⋊C₄	C₂⁴	1	32	yes	—
389	(C₂×D₇₉)⋊C₄	C₂⁴	1	32	yes	—
390	C₄×Dic₇₉	C₂⁴	1	8	yes	—
391	C₄×Dic₇₉	C₂⁴	1	8	yes	—
392	C₄×Dic₇₉	C₂⁴	1	4	yes	—
393	C₄×Dic₇₉	C₂⁴	1	4	yes	—
394	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
395	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
396	#41×C₇₉	—	2	16	no	—
397	#41×C₇₉	—	2	16	no	—
398	#41×C₇₉	—	2	16	no	—
399	#41×C₇₉	—	2	16	no	—
400	C₂×Q₈×C₇₉	—	2	8	no	—
401	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
402	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
403	C₂×D₄×C₇₉	—	2	16	no	—
404	C₂×D₄×C₇₉	—	2	8	no	—
405	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
406	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
407	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
408	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
409	C₂×D₄×C₇₉	C₂⁴	1	16	yes	—
410	C₂²×C₄×C₇₉	—	2	16	no	—
411	C₂²×C₄×C₇₉	C₂×D₄	1	8	yes	complemented
412	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
413	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
414	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
415	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
416	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
417	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
418	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
420	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
421	C₄⋊C₄×C₇₉	C₂⁴	1	16	yes	—
422	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
423	C₂²⋊C₄×C₇₉	C₂⁴	1	32	yes	—
424	C₄²×C₇₉	C₂⁴	1	4	yes	—
425	C₄²×C₇₉	C₂⁴	1	4	yes	—
426	C₂³×C₇₉	—	2	8	no	—
427	C₂³×C₇₉	—	4	2	no	—
428	C₂³×C₇₉	—	4	8	no	—
429	C₂³×C₇₉	C₂²×D₄	1	4	yes	—
430	C₂³×C₇₉	C₂⁵	1	8	yes	—
431	C₂³×C₇₉	C₂⁵	1	2	yes	—
432	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
433	C₂²×D₇₉	—	2	4	no	—
434	C₂²×D₇₉	—	2	8	no	—
435	C₂²×D₇₉	—	2	8	no	—
436	C₂²×D₇₉	—	2	16	no	—
437	C₂²×D₇₉	—	2	16	no	—
438	C₂²×D₇₉	—	2	32	no	—
439	C₂²×D₇₉	—	4	16	no	—
440	C₂²×D₇₉	—	4	2	no	—
441	C₂²×D₇₉	—	4	4	no	—
442	C₂²×D₇₉	—	4	16	no	—
443	C₂²×D₇₉	—	4	8	no	—
444	C₂²×D₇₉	—	4	64	no	—
445	C₂²×D₇₉	C₂²×D₄	1	8	yes	—
446	C₂²×D₇₉	C₂²×D₄	1	4	yes	—
447	C₂²×D₇₉	C₂²×D₄	1	4	yes	—
448	C₂²×D₇₉	C₂²×D₄	1	8	yes	—
449	C₂²×D₇₉	C₂⁵	1	8	yes	—
450	C₂²×D₇₉	C₂⁵	1	2	yes	—
451	C₂²×D₇₉	C₂⁵	1	1	yes	characteristic
452	C₂²×D₇₉	C₂⁵	1	1	yes	characteristic
453	Q₈×C₇₉	—	2	8	no	—
454	Q₈×C₇₉	—	2	8	no	—
455	D₄×C₇₉	—	2	16	no	—
456	D₄×C₇₉	—	2	16	no	—
457	D₄×C₇₉	—	2	8	no	—
458	D₄×C₇₉	—	2	8	no	—
459	D₄×C₇₉	—	4	16	no	—
460	C₂×C₄×C₇₉	—	2	8	no	—
461	C₂×C₄×C₇₉	—	2	16	no	—
462	C₂×C₄×C₇₉	—	2	16	no	—
463	C₂×C₄×C₇₉	—	4	4	no	—
464	C₂×C₄×C₇₉	C₂²×D₄	1	8	yes	—
465	C₂×C₄×C₇₉	C₂²×D₄	1	8	yes	—
466	C₂×C₄×C₇₉	C₂²×D₄	1	4	yes	—
467	C₂×C₄×C₇₉	C₂²×D₄	1	4	yes	—
468	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
469	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
470	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
471	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
472	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
473	C₂²⋊D₇₉	—	2	16	no	—
474	C₂²⋊D₇₉	—	2	16	no	—
475	C₂²⋊D₇₉	—	2	16	no	—
476	C₂²⋊D₇₉	—	2	16	no	—
477	C₂²⋊D₇₉	—	2	16	no	—
478	C₂²⋊D₇₉	—	2	16	no	—
479	C₂²⋊D₇₉	—	4	32	no	—
480	C₂×Dic₇₉	—	2	8	no	—
481	C₂×Dic₇₉	—	2	16	no	—
482	C₂×Dic₇₉	—	2	16	no	—
483	C₂×Dic₇₉	—	4	4	no	—
484	C₂×Dic₇₉	C₂²×D₄	1	8	yes	—
485	C₂×Dic₇₉	C₂²×D₄	1	8	yes	—
486	C₂×Dic₇₉	C₂²×D₄	1	4	yes	—
487	C₂×Dic₇₉	C₂²×D₄	1	4	yes	—
488	C₂×Dic₇₉	C₂⁵	1	8	yes	—
489	C₂×Dic₇₉	C₂⁵	1	8	yes	—
490	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
491	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
492	C₂×Dic₇₉	C₂⁵	1	2	yes	—
493	D₃₁₆	—	2	16	no	—
494	D₃₁₆	—	2	16	no	—
495	D₃₁₆	—	2	8	no	—
496	D₃₁₆	—	2	8	no	—
497	D₃₁₆	—	4	16	no	—
498	C₄×D₇₉	—	2	16	no	—
499	C₄×D₇₉	—	2	16	no	—
500	C₄×D₇₉	—	2	16	no	—
501	C₄×D₇₉	—	2	16	no	—
502	C₄×D₇₉	—	2	16	no	—
503	C₄×D₇₉	—	2	16	no	—
504	C₄×D₇₉	—	2	16	no	—
505	C₄×D₇₉	—	4	8	no	—
506	C₄×D₇₉	C₂²×D₄	1	4	yes	—
507	C₄×D₇₉	C₂²×D₄	1	8	yes	—
508	C₄×D₇₉	C₂²×D₄	1	8	yes	—
509	C₄×D₇₉	C₂²×D₄	1	8	yes	—
510	C₄×D₇₉	C₂²×D₄	1	4	yes	—
511	C₄×D₇₉	C₂²×D₄	1	8	yes	—
512	C₄×D₇₉	C₂²×D₄	1	8	yes	—
513	C₄×D₇₉	C₂²×D₄	1	4	yes	—
514	C₄×D₇₉	C₂²×D₄	1	8	yes	—
515	C₄×D₇₉	C₂²×D₄	1	4	yes	—
516	Dic₁₅₈	—	2	8	no	—
517	Dic₁₅₈	—	2	8	no	—
518	Dic₁₅₈	—	2	16	no	—
519	Dic₁₅₈	—	2	16	no	—
520	C₂²×C₇₉	—	2	2	no	—
521	C₂²×C₇₉	—	2	4	no	—
522	C₂²×C₇₉	—	2	8	no	—
523	C₂²×C₇₉	—	2	16	no	—
524	C₂²×C₇₉	—	4	4	no	—
525	C₂²×C₇₉	—	4	16	no	—
526	C₂²×C₇₉	C₂³×D₄	1	2	yes	—
527	C₂²×C₇₉	C₂³×D₄	1	4	yes	—
528	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
529	C₂×D₇₉	—	2	4	no	—
530	C₂×D₇₉	—	2	2	no	—
531	C₂×D₇₉	—	2	16	no	—
532	C₂×D₇₉	—	2	8	no	—
533	C₂×D₇₉	—	2	8	no	—
534	C₂×D₇₉	—	2	16	no	—
535	C₂×D₇₉	—	4	4	no	—
536	C₂×D₇₉	—	4	8	no	—
537	C₂×D₇₉	—	4	32	no	—
538	C₂×D₇₉	—	4	16	no	—
539	C₂×D₇₉	—	4	32	no	—
540	C₂×D₇₉	C₂³×D₄	1	2	yes	—
541	C₂×D₇₉	C₂³×D₄	1	4	yes	—
542	C₂×D₇₉	C₂³×D₄	1	2	yes	—
543	C₂×D₇₉	#585	1	4	yes	—
544	C₄×C₇₉	—	2	8	no	—
545	C₄×C₇₉	—	2	8	no	—
546	C₄×C₇₉	C₂³×D₄	1	2	yes	—
547	C₄×C₇₉	C₂³×D₄	1	4	yes	—
548	C₄×C₇₉	C₂³×D₄	1	2	yes	—
549	Dic₇₉	—	2	8	no	—
550	Dic₇₉	—	2	8	no	—
551	Dic₇₉	C₂³×D₄	1	2	yes	—
552	Dic₇₉	C₂³×D₄	1	4	yes	—
553	Dic₇₉	C₂³×D₄	1	2	yes	—
554	C₂×#3449	—	79	1	no	maximal, Sylow
555	C₂×C₇₉	—	2	4	no	—
556	C₂×C₇₉	—	2	2	no	—
557	C₂×C₇₉	—	4	8	no	—
558	C₂×C₇₉	C₂⁴×D₄	1	1	yes	characteristic
559	C₂×C₇₉	C₂×#585	1	2	yes	—
560	D₇₉	—	2	4	no	—
561	D₇₉	—	2	2	no	—
562	D₇₉	—	4	8	no	—
563	D₇₉	#3449	1	4	yes	direct product factor
564	C₂³×#41	—	79	2	no	—
565	#3449	—	79	2	no	—
566	#3449	—	79	4	no	—
567	#3449	—	79	4	no	—
568	#3449	—	79	4	no	—
569	#3449	—	79	4	no	—
570	#3449	—	79	4	no	—
571	#3449	—	79	8	no	—
572	#3449	—	79	1	no	—
573	#3449	D₇₉	1	1	yes	characteristic, direct product factor
574	C₂×#537	—	79	4	no	—
575	C₂×#536	—	79	4	no	—
576	C₂×#535	—	79	4	no	—
577	C₂×#534	—	79	4	no	—
578	C₂×#532	—	79	4	no	—
579	C₂×#525	—	79	8	no	—
580	C₂²×#117	—	79	1	no	—
581	C₇₉	C₂×#3449	1	1	yes	characteristic, complemented, Sylow
582	C₂²×#41	—	79	4	no	—
583	C₂²×#41	—	79	4	no	—
584	C₂²×#41	—	79	4	no	—
585	C₂²×#41	—	79	4	no	—
586	C₂²×#41	—	79	4	no	—
587	C₂²×#41	—	79	4	no	—
588	C₂²×#41	—	79	4	no	—
589	C₂²×#41	—	79	4	no	—
590	C₂²×#41	—	79	2	no	—
591	C₂²×#41	—	79	4	no	—
592	C₂²×#41	—	79	2	no	—
593	C₂²×#41	—	79	2	no	—
594	C₂²×#41	—	79	4	no	—
595	C₂²×#41	—	158	32	no	—
596	C₂²×#41	C₂×D₇₉	1	2	yes	complemented
597	C₂³×Q₈	—	79	2	no	—
598	C₂³×D₄	—	79	4	no	—
599	C₂³×D₄	—	79	2	no	—
600	C₂⁴×C₄	—	79	1	no	—
601	C₂⁴×C₄	—	79	4	no	—
602	#537	—	79	8	no	—
603	#537	—	79	16	no	—
604	#537	—	79	16	no	—
605	#537	—	79	16	no	—
606	#537	—	79	4	no	—
607	#537	C₂×D₇₉	1	4	yes	complemented
608	#536	—	79	4	no	—
609	#536	—	79	4	no	—
610	#536	—	79	8	no	—
611	#536	—	79	8	no	—
612	#536	—	79	16	no	—
613	#536	—	79	16	no	—
614	#536	—	79	4	no	—
615	#536	C₂×D₇₉	1	4	yes	complemented
616	#535	—	79	4	no	—
617	#535	—	79	4	no	—
618	#535	—	79	8	no	—
619	#535	—	79	8	no	—
620	#535	—	79	16	no	—
621	#535	—	79	16	no	—
622	#535	—	79	4	no	—
623	#535	C₂×D₇₉	1	4	yes	complemented
624	#534	—	79	8	no	—
625	#534	—	79	16	no	—
626	#534	—	79	16	no	—
627	#534	—	79	16	no	—
628	#534	—	79	4	no	—
629	#534	C₂×D₇₉	1	4	yes	complemented
630	#532	—	79	8	no	—
631	#532	—	79	4	no	—
632	#532	—	79	4	no	—
633	#532	—	79	8	no	—
634	#532	—	79	16	no	—
635	#532	—	79	16	no	—
636	#532	—	79	4	no	—
637	#532	C₂×D₇₉	1	4	yes	complemented
638	C₂×C₄⋊Q₈	—	79	4	no	—
639	C₂×#127	—	79	4	no	—
640	C₂×#124	—	79	8	no	—
641	#525	—	79	8	no	—
642	#525	—	79	8	no	—
643	#525	—	79	16	no	—
644	#525	—	79	16	no	—
645	#525	—	79	16	no	—
646	#525	—	79	16	no	—
647	#525	—	79	32	no	—
648	#525	—	79	8	no	—
649	#525	C₂×D₇₉	1	8	yes	complemented
650	C₂×#123	—	79	16	no	—
651	C₂×C₂²⋊Q₈	—	79	16	no	—
652	C₂×#121	—	79	16	no	—
653	C₂×#121	—	79	16	no	—
654	C₂×#120	—	79	16	no	—
655	C₂×C₄×D₄	—	79	16	no	—
656	C₂×#117	—	79	1	no	—
657	C₂×#117	—	79	4	no	—
658	C₂×#117	—	79	4	no	—
659	C₂×#117	—	79	4	no	—
660	C₂×#117	—	79	4	no	—
661	C₂×#117	—	79	2	no	—
662	C₂×#117	—	79	2	no	—
663	C₂×#117	—	79	2	no	—
664	C₂×#117	C₂×D₇₉	1	1	yes	characteristic, complemented
665	C₂²×C₄⋊C₄	—	79	2	no	—
666	C₂²×C₂²⋊C₄	—	79	2	no	—
667	C₂²×C₄²	—	79	2	no	—
668	C₂⁵	—	79	1	no	—
669	C₂⁵	—	79	4	no	—
670	C₂×#41	—	2	16	no	—
671	C₂×#41	—	79	4	no	—
672	C₂×#41	—	79	4	no	—
673	C₂×#41	—	79	4	no	—
674	C₂×#41	—	79	4	no	—
675	C₂×#41	—	79	8	no	—
676	C₂×#41	—	79	4	no	—
677	C₂×#41	—	79	8	no	—
678	C₂×#41	—	79	4	no	—
679	C₂×#41	—	79	8	no	—
680	C₂×#41	—	79	4	no	—
681	C₂×#41	—	79	8	no	—
682	C₂×#41	—	79	4	no	—
683	C₂×#41	—	79	8	no	—
684	C₂×#41	—	79	4	no	—
685	C₂×#41	—	79	8	no	—
686	C₂×#41	—	79	4	no	—
687	C₂×#41	—	79	8	no	—
688	C₂×#41	—	79	4	no	—
689	C₂×#41	—	79	8	no	—
690	C₂×#41	—	79	4	no	—
691	C₂×#41	—	158	32	no	—
692	C₂×#41	—	158	32	no	—
693	C₂×#41	—	158	16	no	—
694	C₂×#41	—	158	16	no	—
695	C₂×#41	—	158	32	no	—
696	C₂×#41	—	158	32	no	—
697	C₂×#41	—	158	32	no	—
698	C₂×#41	—	158	32	no	—
699	C₂×#41	—	158	32	no	—
700	C₂×#41	—	158	32	no	—
701	C₂×#41	—	158	32	no	—
702	C₂×#41	—	158	32	no	—
703	C₂×#41	—	158	16	no	—
704	C₂×#41	C₂²×D₇₉	1	4	yes	—
705	C₂×#41	C₂²×D₇₉	1	4	yes	—
706	C₂×#41	C₂²×D₇₉	1	4	yes	complemented
707	C₂×#41	C₂²×D₇₉	1	4	yes	complemented
708	C₂²×Q₈	—	79	4	no	—
709	C₂²×Q₈	—	79	4	no	—
710	C₂²×Q₈	—	79	4	no	—
711	C₂²×Q₈	—	79	4	no	—
712	C₂²×Q₈	—	79	4	no	—
713	C₂²×Q₈	—	79	2	no	—
714	C₂²×Q₈	—	158	16	no	—
715	C₂²×Q₈	C₂²×D₇₉	1	2	yes	complemented
716	C₂²×D₄	—	79	16	no	—
717	C₂²×D₄	—	79	4	no	—
718	C₂²×D₄	—	79	4	no	—
719	C₂²×D₄	—	79	4	no	—
720	C₂²×D₄	—	79	8	no	—
721	C₂²×D₄	—	79	4	no	—
722	C₂²×D₄	—	79	8	no	—
723	C₂²×D₄	—	79	4	no	—
724	C₂²×D₄	—	79	8	no	—
725	C₂²×D₄	—	79	8	no	—
726	C₂²×D₄	—	79	4	no	—
727	C₂²×D₄	—	79	4	no	—
728	C₂²×D₄	—	79	4	no	—
729	C₂²×D₄	—	79	2	no	—
730	C₂²×D₄	—	158	16	no	—
731	C₂²×D₄	—	158	32	no	—
732	C₂²×D₄	C₂²×D₇₉	1	4	yes	—
733	C₂²×D₄	C₂²×D₇₉	1	2	yes	complemented
734	C₂³×C₄	—	79	4	no	—
735	C₂³×C₄	—	79	1	no	—
736	C₂³×C₄	—	79	16	no	—
737	C₂³×C₄	—	79	1	no	—
738	C₂³×C₄	—	79	2	no	—
739	C₂³×C₄	—	79	2	no	—
740	C₂³×C₄	—	79	1	no	—
741	C₂³×C₄	—	79	1	no	—
742	C₂³×C₄	—	79	2	no	—
743	C₂³×C₄	—	79	2	no	—
744	C₂³×C₄	—	79	1	no	—
745	C₂³×C₄	—	79	4	no	—
746	C₂³×C₄	—	79	8	no	—
747	C₂³×C₄	—	79	8	no	—
748	C₂³×C₄	—	79	4	no	—
749	C₂³×C₄	—	79	4	no	—
750	C₂³×C₄	—	79	8	no	—
751	C₂³×C₄	—	79	8	no	—
752	C₂³×C₄	—	79	4	no	—
753	C₂³×C₄	—	158	32	no	—
754	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
755	C₂³×C₄	C₂²×D₇₉	1	4	yes	complemented
756	C₄⋊Q₈	—	79	8	no	—
757	C₄⋊Q₈	—	79	16	no	—
758	C₄⋊Q₈	—	79	4	no	—
759	C₄⋊Q₈	C₂²×D₇₉	1	4	yes	complemented
760	#127	—	79	8	no	—
761	#127	—	79	16	no	—
762	#127	—	79	4	no	—
763	#127	C₂²×D₇₉	1	4	yes	complemented
764	#124	—	79	8	no	—
765	#124	—	79	8	no	—
766	#124	—	79	32	no	—
767	#124	—	79	8	no	—
768	#124	C₂²×D₇₉	1	8	yes	complemented
769	#123	—	79	16	no	—
770	#123	—	79	16	no	—
771	#123	—	79	32	no	—
772	#123	—	79	32	no	—
773	#123	—	79	16	no	—
774	#123	C₂²×D₇₉	1	16	yes	complemented
775	C₂²⋊Q₈	—	79	16	no	—
776	C₂²⋊Q₈	—	79	16	no	—
777	C₂²⋊Q₈	—	79	32	no	—
778	C₂²⋊Q₈	—	79	16	no	—
779	C₂²⋊Q₈	—	79	32	no	—
780	C₂²⋊Q₈	C₂²×D₇₉	1	16	yes	complemented
781	#121	—	79	16	no	—
782	#121	—	79	32	no	—
783	#121	—	79	16	no	—
784	#121	—	79	32	no	—
785	#121	—	79	16	no	—
786	#121	—	79	16	no	—
787	#121	—	79	16	no	—
788	#121	—	79	16	no	—
789	#121	—	79	32	no	—
790	#121	—	79	32	no	—
791	#121	C₂²×D₇₉	1	16	yes	complemented
792	#121	C₂²×D₇₉	1	16	yes	complemented
793	#120	—	79	16	no	—
794	#120	—	79	16	no	—
795	#120	—	79	32	no	—
796	#120	—	79	32	no	—
797	#120	—	79	16	no	—
798	#120	C₂²×D₇₉	1	16	yes	complemented
799	C₄×D₄	—	79	16	no	—
800	C₄×D₄	—	79	32	no	—
801	C₄×D₄	—	79	16	no	—
802	C₄×D₄	—	79	32	no	—
803	C₄×D₄	—	79	16	no	—
804	C₄×D₄	C₂²×D₇₉	1	16	yes	complemented
805	#117	—	79	4	no	—
806	#117	—	79	4	no	—
807	#117	—	79	8	no	—
808	#117	—	79	8	no	—
809	#117	—	79	8	no	—
810	#117	—	79	8	no	—
811	#117	—	79	8	no	—
812	#117	—	79	8	no	—
813	#117	C₂²×D₇₉	1	4	yes	complemented
814	#117	C₂²×D₇₉	1	4	yes	complemented
815	C₂×C₄⋊C₄	—	79	4	no	—
816	C₂×C₄⋊C₄	—	79	2	no	—
817	C₂×C₄⋊C₄	—	79	8	no	—
818	C₂×C₄⋊C₄	—	79	8	no	—
819	C₂×C₄⋊C₄	—	79	16	no	—
820	C₂×C₄⋊C₄	C₂²×D₇₉	1	2	yes	complemented
821	C₂×C₂²⋊C₄	—	79	2	no	—
822	C₂×C₂²⋊C₄	—	79	4	no	—
823	C₂×C₂²⋊C₄	—	79	8	no	—
824	C₂×C₂²⋊C₄	—	79	8	no	—
825	C₂×C₂²⋊C₄	—	79	32	no	—
826	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
827	C₂×C₄²	—	79	4	no	—
828	C₂×C₄²	—	79	2	no	—
829	C₂×C₄²	—	79	4	no	—
830	C₂×C₄²	—	79	4	no	—
831	C₂×C₄²	—	79	4	no	—
832	C₂×C₄²	—	79	4	no	—
833	C₂×C₄²	C₂²×D₇₉	1	2	yes	complemented
834	C₂⁴	—	316	16	no	—
835	C₂⁴	—	316	4	no	—
836	C₂⁴	—	79	1	no	—
837	C₂⁴	—	79	2	no	—
838	C₂⁴	—	79	8	no	—
839	C₂⁴	—	79	8	no	—
840	C₂⁴	—	79	4	no	—
841	C₂⁴	—	79	2	no	—
842	C₂⁴	—	79	1	no	—
843	C₂⁴	—	79	8	no	—
844	C₂⁴	—	158	16	no	—
845	C₂⁴	C₂³×D₇₉	1	4	yes	—
846	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
847	#41	—	2	16	no	—
848	#41	—	2	16	no	—
849	#41	—	2	16	no	—
850	#41	—	2	16	no	—
851	#41	—	158	32	no	—
852	#41	—	158	32	no	—
853	#41	—	158	32	no	—
854	#41	—	158	32	no	—
855	#41	—	158	32	no	—
856	#41	—	158	32	no	—
857	#41	—	158	32	no	—
858	#41	—	158	32	no	—
859	#41	—	158	16	no	—
860	#41	—	158	16	no	—
861	#41	—	158	16	no	—
862	#41	—	158	16	no	—
863	#41	—	158	16	no	—
864	#41	—	158	16	no	—
865	#41	—	158	16	no	—
866	#41	—	158	16	no	—
867	#41	—	158	16	no	—
868	#41	—	158	16	no	—
869	#41	—	158	16	no	—
870	#41	—	158	16	no	—
871	C₂×Q₈	—	2	8	no	—
872	C₂×Q₈	—	79	8	no	—
873	C₂×Q₈	—	79	4	no	—
874	C₂×Q₈	—	79	8	no	—
875	C₂×Q₈	—	79	4	no	—
876	C₂×Q₈	—	158	16	no	—
877	C₂×Q₈	—	158	16	no	—
878	C₂×Q₈	—	158	16	no	—
879	C₂×Q₈	—	158	16	no	—
880	C₂×Q₈	—	158	16	no	—
881	C₂×Q₈	—	158	8	no	—
882	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
883	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
884	C₂×D₄	—	2	16	no	—
885	C₂×D₄	—	2	8	no	—
886	C₂×D₄	—	316	32	no	—
887	C₂×D₄	—	79	32	no	—
888	C₂×D₄	—	79	8	no	—
889	C₂×D₄	—	79	8	no	—
890	C₂×D₄	—	79	8	no	—
891	C₂×D₄	—	79	8	no	—
892	C₂×D₄	—	79	8	no	—
893	C₂×D₄	—	79	8	no	—
894	C₂×D₄	—	79	16	no	—
895	C₂×D₄	—	79	8	no	—
896	C₂×D₄	—	79	8	no	—
897	C₂×D₄	—	79	4	no	—
898	C₂×D₄	—	79	4	no	—
899	C₂×D₄	—	158	16	no	—
900	C₂×D₄	—	158	16	no	—
901	C₂×D₄	—	158	16	no	—
902	C₂×D₄	—	158	16	no	—
903	C₂×D₄	—	158	16	no	—
904	C₂×D₄	—	158	16	no	—
905	C₂×D₄	—	158	32	no	—
906	C₂×D₄	—	158	32	no	—
907	C₂×D₄	—	158	32	no	—
908	C₂×D₄	—	158	32	no	—
909	C₂×D₄	—	158	16	no	—
910	C₂×D₄	—	158	16	no	—
911	C₂×D₄	—	158	8	no	—
912	C₂×D₄	C₂³×D₇₉	1	8	yes	—
913	C₂×D₄	C₂³×D₇₉	1	8	yes	—
914	C₂×D₄	C₂³×D₇₉	1	4	yes	—
915	C₂×D₄	C₂³×D₇₉	1	4	yes	—
916	C₂×D₄	C₂³×D₇₉	1	16	yes	—
917	C₂²×C₄	—	2	16	no	—
918	C₂²×C₄	—	316	8	no	—
919	C₂²×C₄	—	79	4	no	—
920	C₂²×C₄	—	79	8	no	—
921	C₂²×C₄	—	79	1	no	—
922	C₂²×C₄	—	79	1	no	—
923	C₂²×C₄	—	79	2	no	—
924	C₂²×C₄	—	79	2	no	—
925	C₂²×C₄	—	79	8	no	—
926	C₂²×C₄	—	79	1	no	—
927	C₂²×C₄	—	79	1	no	—
928	C₂²×C₄	—	79	2	no	—
929	C₂²×C₄	—	79	2	no	—
930	C₂²×C₄	—	79	2	no	—
931	C₂²×C₄	—	79	2	no	—
932	C₂²×C₄	—	79	2	no	—
933	C₂²×C₄	—	79	1	no	—
934	C₂²×C₄	—	79	1	no	—
935	C₂²×C₄	—	79	2	no	—
936	C₂²×C₄	—	79	16	no	—
937	C₂²×C₄	—	79	16	no	—
938	C₂²×C₄	—	79	8	no	—
939	C₂²×C₄	—	79	8	no	—
940	C₂²×C₄	—	79	16	no	—
941	C₂²×C₄	—	79	16	no	—
942	C₂²×C₄	—	79	8	no	—
943	C₂²×C₄	—	79	8	no	—
944	C₂²×C₄	—	79	8	no	—
945	C₂²×C₄	—	79	8	no	—
946	C₂²×C₄	—	79	4	no	—
947	C₂²×C₄	—	79	8	no	—
948	C₂²×C₄	—	79	8	no	—
949	C₂²×C₄	—	79	8	no	—
950	C₂²×C₄	—	79	8	no	—
951	C₂²×C₄	—	79	8	no	—
952	C₂²×C₄	—	79	8	no	—
953	C₂²×C₄	—	79	8	no	—
954	C₂²×C₄	—	158	16	no	—
955	C₂²×C₄	—	158	32	no	—
956	C₂²×C₄	—	158	32	no	—
957	C₂²×C₄	—	158	32	no	—
958	C₂²×C₄	—	158	32	no	—
959	C₂²×C₄	—	158	16	no	—
960	C₂²×C₄	—	158	16	no	—
961	C₂²×C₄	—	158	16	no	—
962	C₂²×C₄	D₄×D₇₉	1	8	yes	complemented
963	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
964	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
965	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
966	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
967	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
968	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
969	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
970	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
971	C₄⋊C₄	—	79	16	no	—
972	C₄⋊C₄	—	79	32	no	—
973	C₄⋊C₄	—	79	8	no	—
974	C₄⋊C₄	—	79	16	no	—
975	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
976	C₄⋊C₄	C₂³×D₇₉	1	16	yes	—
977	C₂²⋊C₄	—	79	8	no	—
978	C₂²⋊C₄	—	79	32	no	—
979	C₂²⋊C₄	—	79	16	no	—
980	C₂²⋊C₄	—	79	32	no	—
981	C₂²⋊C₄	—	79	32	no	—
982	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
983	C₂²⋊C₄	C₂³×D₇₉	1	32	yes	—
984	C₄²	—	79	8	no	—
985	C₄²	—	79	8	no	—
986	C₄²	—	79	4	no	—
987	C₄²	—	79	4	no	—
988	C₄²	C₂³×D₇₉	1	4	yes	—
989	C₄²	C₂³×D₇₉	1	4	yes	—
990	C₂³	—	2	8	no	—
991	C₂³	—	4	2	no	—
992	C₂³	—	4	8	no	—
993	C₂³	—	316	2	no	—
994	C₂³	—	316	8	no	—
995	C₂³	—	316	4	no	—
996	C₂³	—	316	16	no	—
997	C₂³	—	316	64	no	—
998	C₂³	—	316	16	no	—
999	C₂³	—	79	4	no	—
1000	C₂³	—	79	8	no	—
1001	C₂³	—	79	1	no	—
1002	C₂³	—	79	2	no	—
1003	C₂³	—	79	1	no	—
1004	C₂³	—	79	8	no	—
1005	C₂³	—	79	4	no	—
1006	C₂³	—	79	8	no	—
1007	C₂³	—	158	16	no	—
1008	C₂³	—	158	16	no	—
1009	C₂³	—	158	32	no	—
1010	C₂³	—	158	4	no	—
1011	C₂³	—	158	8	no	—
1012	C₂³	—	158	8	no	—
1013	C₂³	C₂×D₄×D₇₉	1	4	yes	—
1014	C₂³	C₂⁴×D₇₉	1	8	yes	—
1015	C₂³	C₂⁴×D₇₉	1	2	yes	—
1016	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1017	Q₈	—	2	8	no	—
1018	Q₈	—	2	8	no	—
1019	Q₈	—	158	16	no	—
1020	Q₈	—	158	16	no	—
1021	Q₈	—	158	8	no	—
1022	Q₈	—	158	8	no	—
1023	D₄	—	2	16	no	—
1024	D₄	—	2	16	no	—
1025	D₄	—	2	8	no	—
1026	D₄	—	2	8	no	—
1027	D₄	—	4	16	no	—
1028	D₄	—	316	16	no	—
1029	D₄	—	316	32	no	—
1030	D₄	—	158	16	no	—
1031	D₄	—	158	16	no	—
1032	D₄	—	158	16	no	—
1033	D₄	—	158	16	no	—
1034	D₄	—	158	16	no	—
1035	D₄	—	158	16	no	—
1036	D₄	—	158	16	no	—
1037	D₄	—	158	16	no	—
1038	D₄	—	158	8	no	—
1039	D₄	—	158	8	no	—
1040	C₂×C₄	—	2	8	no	—
1041	C₂×C₄	—	2	16	no	—
1042	C₂×C₄	—	2	16	no	—
1043	C₂×C₄	—	4	4	no	—
1044	C₂×C₄	—	316	8	no	—
1045	C₂×C₄	—	316	4	no	—
1046	C₂×C₄	—	79	1	no	—
1047	C₂×C₄	—	79	1	no	—
1048	C₂×C₄	—	79	2	no	—
1049	C₂×C₄	—	79	8	no	—
1050	C₂×C₄	—	79	8	no	—
1051	C₂×C₄	—	79	4	no	—
1052	C₂×C₄	—	79	4	no	—
1053	C₂×C₄	—	79	4	no	—
1054	C₂×C₄	—	79	8	no	—
1055	C₂×C₄	—	79	8	no	—
1056	C₂×C₄	—	79	8	no	—
1057	C₂×C₄	—	79	4	no	—
1058	C₂×C₄	—	79	8	no	—
1059	C₂×C₄	—	79	8	no	—
1060	C₂×C₄	—	79	4	no	—
1061	C₂×C₄	—	79	8	no	—
1062	C₂×C₄	—	79	4	no	—
1063	C₂×C₄	—	79	8	no	—
1064	C₂×C₄	—	79	8	no	—
1065	C₂×C₄	—	158	16	no	—
1066	C₂×C₄	—	158	16	no	—
1067	C₂×C₄	—	158	16	no	—
1068	C₂×C₄	—	158	16	no	—
1069	C₂×C₄	—	158	16	no	—
1070	C₂×C₄	—	158	16	no	—
1071	C₂×C₄	—	158	16	no	—
1072	C₂×C₄	—	158	8	no	—
1073	C₂×C₄	—	158	16	no	—
1074	C₂×C₄	—	158	16	no	—
1075	C₂×C₄	C₂×D₄×D₇₉	1	8	yes	—
1076	C₂×C₄	C₂×D₄×D₇₉	1	8	yes	—
1077	C₂×C₄	C₂×D₄×D₇₉	1	4	yes	—
1078	C₂×C₄	C₂×D₄×D₇₉	1	4	yes	—
1079	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
1080	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
1081	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1082	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1083	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1084	C₂²	—	2	2	no	—
1085	C₂²	—	2	4	no	—
1086	C₂²	—	2	8	no	—
1087	C₂²	—	2	16	no	—
1088	C₂²	—	4	4	no	—
1089	C₂²	—	4	16	no	—
1090	C₂²	—	316	16	no	—
1091	C₂²	—	316	8	no	—
1092	C₂²	—	316	4	no	—
1093	C₂²	—	316	32	no	—
1094	C₂²	—	316	32	no	—
1095	C₂²	—	79	2	no	—
1096	C₂²	—	79	4	no	—
1097	C₂²	—	79	4	no	—
1098	C₂²	—	79	2	no	—
1099	C₂²	—	158	16	no	—
1100	C₂²	—	158	8	no	—
1101	C₂²	—	158	8	no	—
1102	C₂²	—	158	16	no	—
1103	C₂²	—	158	2	no	—
1104	C₂²	—	158	4	no	—
1105	C₂²	C₂²×D₄×D₇₉	1	4	yes	—
1106	C₂²	C₂²×D₄×D₇₉	1	2	yes	—
1107	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1108	C₄	—	2	8	no	—
1109	C₄	—	2	8	no	—
1110	C₄	—	79	2	no	—
1111	C₄	—	79	4	no	—
1112	C₄	—	79	2	no	—
1113	C₄	—	158	8	no	—
1114	C₄	—	158	8	no	—
1115	C₄	C₂²×D₄×D₇₉	1	2	yes	—
1116	C₄	C₂²×D₄×D₇₉	1	4	yes	—
1117	C₄	C₂²×D₄×D₇₉	1	2	yes	—
1118	C₂	—	2	4	no	—
1119	C₂	—	2	2	no	—
1120	C₂	—	4	8	no	—
1121	C₂	—	316	8	no	—
1122	C₂	—	79	4	no	—
1123	C₂	—	158	4	no	—
1124	C₂	—	158	2	no	—
1125	C₂	C₂³×D₄×D₇₉	1	1	yes	characteristic
1126	C₂	#585×D₇₉	1	2	yes	—

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Frattini	C₂²	C₂⁵×D₇₉
Fitting	C₇₉×#3449	C₂
hypercenter	#3449	D₇₉
hypocenter	C₇₉	C₂×#3449
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂×C₄ ◁ #3449

Complements

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

N	H ≅ G/N	type
1. C₂²×#41×D₇₉	C₂	semidirect
2. #23776733	C₂	semidirect
3. #23776732	C₂	semidirect
4. #23776731	C₂	semidirect
5. #23776730	C₂	semidirect
6. #23776729	C₂	semidirect
7. #23776728	C₂	semidirect
8. #23776727	C₂	semidirect
9. #23776726	C₂	semidirect
10. #537×D₇₉	C₂	semidirect
11. #536×D₇₉	C₂	semidirect
12. #535×D₇₉	C₂	semidirect
13. #534×D₇₉	C₂	semidirect
14. #532×D₇₉	C₂	semidirect
15. #525×D₇₉	C₂	semidirect
16. C₂×#117×D₇₉	C₂	semidirect
17. C₇₉×#3449	C₂	semidirect
18. C₂²×#11929625	C₂²	semidirect
19. C₂²×#11929624	C₂²	semidirect
20. C₂²×#11929624	C₂²	semidirect
21. C₂²×#11929623	C₂²	semidirect
22. C₂²×#11929623	C₂²	semidirect
26. C₂×#41×D₇₉	C₂²	semidirect
27. C₂×#41×D₇₉	C₂²	semidirect
28. C₂×#41×D₇₉	C₂²	semidirect
29. C₂×#41×D₇₉	C₂²	semidirect
30. C₂×#41×D₇₉	C₂²	semidirect
31. C₂×#41×D₇₉	C₂²	semidirect
32. C₂²×Q₈×D₇₉	C₂²	semidirect
34. C₂²×D₄×D₇₉	C₂²	semidirect
36. C₂³×C₄×D₇₉	C₂²	semidirect
37. #19099144	C₂²	semidirect
38. #19099143	C₂²	semidirect
39. #19099142	C₂²	semidirect
40. #19099141	C₂²	semidirect
41. #19099140	C₂²	semidirect
42. #19099139	C₂²	semidirect
43. #19099138	C₂²	semidirect
44. #19099137	C₂²	semidirect
45. #19099136	C₂²	semidirect
46. #19099135	C₂²	semidirect
47. #19099134	C₂²	semidirect
48. #19099133	C₂²	semidirect
49. #19099132	C₂²	semidirect
50. #19099131	C₂²	semidirect
51. #19099130	C₂²	semidirect
52. #19099129	C₂²	semidirect
53. #19099128	C₂²	semidirect
54. #19099127	C₂²	semidirect
55. #19099126	C₂²	semidirect
56. #19099125	C₂²	semidirect
57. #19099124	C₂²	semidirect
58. #19099123	C₂²	semidirect
59. #19099122	C₂²	semidirect
60. #19099121	C₂²	semidirect
61. #19099114	C₂²	semidirect
62. #19099113	C₂²	semidirect
63. #19099112	C₂²	semidirect
64. #19099111	C₂²	semidirect
65. #19099110	C₂²	semidirect
66. #19099109	C₂²	semidirect
67. #19099108	C₂²	semidirect
68. C₄⋊Q₈×D₇₉	C₂²	semidirect
69. #127×D₇₉	C₂²	semidirect
70. #124×D₇₉	C₂²	semidirect
71. #19099076	C₂²	semidirect
72. #19099075	C₂²	semidirect
73. #19099074	C₂²	semidirect
74. #19099073	C₂²	semidirect
75. #19099072	C₂²	semidirect
76. #19099071	C₂²	semidirect
77. #19099070	C₂²	semidirect
78. #19099069	C₂²	semidirect
79. #123×D₇₉	C₂²	semidirect
80. C₂²⋊Q₈×D₇₉	C₂²	semidirect
81. #121×D₇₉	C₂²	semidirect
82. #121×D₇₉	C₂²	semidirect
83. #120×D₇₉	C₂²	semidirect
84. C₄×D₄×D₇₉	C₂²	semidirect
85. C₂×#14579120	C₂²	semidirect
86. C₂×#14579119	C₂²	semidirect
87. C₂×#14579118	C₂²	semidirect
88. C₂×#14579117	C₂²	semidirect
89. #117×D₇₉	C₂²	semidirect
90. #117×D₇₉	C₂²	semidirect
91. #117×D₇₉	C₂²	semidirect
92. #117×D₇₉	C₂²	semidirect
93. C₂×C₄⋊C₄×D₇₉	C₂²	semidirect
95. C₂×C₄²×D₇₉	C₂²	semidirect
96. C₂²×#41×C₇₉	C₂²	semidirect
97. #537×C₇₉	C₂²	semidirect
98. #536×C₇₉	C₂²	semidirect
99. #535×C₇₉	C₂²	semidirect
100. #534×C₇₉	C₂²	semidirect
101. #532×C₇₉	C₂²	semidirect
102. #525×C₇₉	C₂²	semidirect
103. C₂×#117×C₇₉	C₂²	semidirect
109. C₂×#11929625	C₂³	semidirect
110. C₂×#11929625	C₂³	semidirect
117. C₂×#11929624	C₂³	semidirect
118. C₂×#11929624	C₂³	semidirect
119. C₂×#11929624	C₂³	semidirect
120. C₂×#11929624	C₂³	semidirect
127. C₂×#11929623	C₂³	semidirect
128. C₂×#11929623	C₂³	semidirect
129. C₂×#11929623	C₂³	semidirect
130. C₂×#11929623	C₂³	semidirect
139. C₂²×Dic₁₅₈	C₂³	semidirect
140. C₂²×Dic₁₅₈	C₂³	semidirect
144. C₂×Q₈×D₇₉	C₂³	semidirect
145. C₂×Q₈×D₇₉	C₂³	semidirect
147. C₂²×D₃₁₆	C₂³	semidirect
150. C₂²×C₂²⋊D₇₉	C₂³	semidirect
160. C₂×D₄×D₇₉	C₂³	semidirect
161. C₂×D₄×D₇₉	C₂³	semidirect
163. C₂³×Dic₇₉	C₂³	semidirect
165. C₂²×C₄×D₇₉	D₄	semidirect
178. C₂²×C₄×D₇₉	C₂³	semidirect
179. C₂²×C₄×D₇₉	C₂³	semidirect
180. C₂²×C₄×D₇₉	C₂³	semidirect
181. C₂²×C₄×D₇₉	C₂³	semidirect
182. #14579161	C₂³	semidirect
183. #14579160	C₂³	semidirect
184. #14579159	C₂³	semidirect
185. #14579158	C₂³	semidirect
186. #14579157	C₂³	semidirect
187. #14579157	C₂³	semidirect
188. #14579150	C₂³	semidirect
189. #14579149	C₂³	semidirect
190. #14579148	C₂³	semidirect
191. #14579147	C₂³	semidirect
192. #14579146	C₂³	semidirect
193. #14579145	C₂³	semidirect
194. #14579144	C₂³	semidirect
195. #14579143	C₂³	semidirect
196. #14579142	C₂³	semidirect
197. #14579141	C₂³	semidirect
198. #14579140	C₂³	semidirect
199. #14579139	C₂³	semidirect
200. #14579138	C₂³	semidirect
201. #14579137	C₂³	semidirect
202. #14579136	C₂³	semidirect
203. #14579136	C₂³	semidirect
204. #14579135	C₂³	semidirect
205. #14579135	C₂³	semidirect
206. #14579134	C₂³	semidirect
207. #14579134	C₂³	semidirect
208. #14579133	C₂³	semidirect
209. #14579133	C₂³	semidirect
210. #14579132	C₂³	semidirect
211. #14579132	C₂³	semidirect
212. #14579131	C₂³	semidirect
213. #14579131	C₂³	semidirect
214. #14579130	C₂³	semidirect
215. #14579129	C₂³	semidirect
216. #14579129	C₂³	semidirect
217. C₄×D₃₁₆	C₂³	semidirect
218. D₄×Dic₇₉	C₂³	semidirect
219. #14579123	C₂³	semidirect
220. C₄×C₂²⋊D₇₉	C₂³	semidirect
221. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
222. #14579120	C₂³	semidirect
223. #14579120	C₂³	semidirect
224. #14579119	C₂³	semidirect
225. #14579119	C₂³	semidirect
226. #14579118	C₂³	semidirect
227. #14579118	C₂³	semidirect
228. #14579117	C₂³	semidirect
229. #14579117	C₂³	semidirect
230. C₂×C₄⋊Dic₇₉	C₂³	semidirect
231. C₂×Dic₇₉⋊C₄	C₂³	semidirect
234. C₄⋊C₄×D₇₉	C₂³	semidirect
240. C₂×C₄×Dic₇₉	C₂³	semidirect
241. C₂×C₄×Dic₇₉	C₂³	semidirect
244. C₄²×D₇₉	C₂³	semidirect
245. C₄²×D₇₉	C₂³	semidirect
249. C₂×#41×C₇₉	C₂³	semidirect
250. C₂×#41×C₇₉	C₂³	semidirect
251. C₂²×Q₈×C₇₉	C₂³	semidirect
253. C₂²×D₄×C₇₉	C₂³	semidirect
255. C₂³×C₄×C₇₉	C₂³	semidirect
256. C₄⋊Q₈×C₇₉	C₂³	semidirect
257. #127×C₇₉	C₂³	semidirect
258. #124×C₇₉	C₂³	semidirect
259. #123×C₇₉	C₂³	semidirect
260. C₂²⋊Q₈×C₇₉	C₂³	semidirect
261. #121×C₇₉	C₂³	semidirect
262. #121×C₇₉	C₂³	semidirect
263. #120×C₇₉	C₂³	semidirect
264. C₄×D₄×C₇₉	C₂³	semidirect
265. #117×C₇₉	C₂³	semidirect
266. #117×C₇₉	C₂³	semidirect
267. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
269. C₂×C₄²×C₇₉	C₂³	semidirect
338. C₂²×Dic₇₉	C₂×D₄	semidirect
359. C₂×C₄×D₇₉	C₂×D₄	semidirect
360. C₂×C₄×D₇₉	C₂×D₄	semidirect
361. C₂×C₄×D₇₉	C₂×D₄	semidirect
362. C₂×C₄×D₇₉	C₂×D₄	semidirect
411. C₂²×C₄×C₇₉	C₂×D₄	semidirect
563. D₇₉	#3449	direct (N × H)
573. #3449	D₇₉	direct (N × H)
581. C₇₉	C₂×#3449	semidirect
596. C₂²×#41	C₂×D₇₉	semidirect
607. #537	C₂×D₇₉	semidirect
615. #536	C₂×D₇₉	semidirect
623. #535	C₂×D₇₉	semidirect
629. #534	C₂×D₇₉	semidirect
637. #532	C₂×D₇₉	semidirect
649. #525	C₂×D₇₉	semidirect
664. C₂×#117	C₂×D₇₉	semidirect
706. C₂×#41	C₂²×D₇₉	semidirect
707. C₂×#41	C₂²×D₇₉	semidirect
715. C₂²×Q₈	C₂²×D₇₉	semidirect
733. C₂²×D₄	C₂²×D₇₉	semidirect
755. C₂³×C₄	C₂²×D₇₉	semidirect
759. C₄⋊Q₈	C₂²×D₇₉	semidirect
763. #127	C₂²×D₇₉	semidirect
768. #124	C₂²×D₇₉	semidirect
774. #123	C₂²×D₇₉	semidirect
780. C₂²⋊Q₈	C₂²×D₇₉	semidirect
791. #121	C₂²×D₇₉	semidirect
792. #121	C₂²×D₇₉	semidirect
798. #120	C₂²×D₇₉	semidirect
804. C₄×D₄	C₂²×D₇₉	semidirect
813. #117	C₂²×D₇₉	semidirect
814. #117	C₂²×D₇₉	semidirect
820. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
833. C₂×C₄²	C₂²×D₇₉	semidirect
962. C₂²×C₄	D₄×D₇₉	semidirect

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
#23776733	2
#23776732	2
#23776731	2
#23776730	2
#23776729	2
#23776728	2
#23776727	2
#23776726	2
#537×D₇₉	2
#536×D₇₉	2
#535×D₇₉	2
#534×D₇₉	2
#532×D₇₉	2
#525×D₇₉	2
C₂×#117×D₇₉	2
C₇₉×#3449	2
C₂×#3449	79

Subgroups — #3449×D79 #35195100

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3449×D₇₉ #35195100