Subgroups — #35197278

Order 20224.

11770 conjugacy classes of subgroups.

The subgroup lattice has 1164 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×H(5,𝔽₂)×D₇₉	C₂	1	2	yes	maximal, complemented
2	#23777164	C₂	1	1	yes	maximal, characteristic, complemented
3	#23777163	C₂	1	2	yes	maximal, complemented
4	#23777162	C₂	1	2	yes	maximal, complemented
5	#23777161	C₂	1	4	yes	maximal, complemented
6	#23777159	C₂	1	2	yes	maximal, complemented
7	#23777157	C₂	1	4	yes	maximal, complemented
8	#23777039	C₂	1	8	yes	maximal, complemented
9	#23777037	C₂	1	8	yes	maximal, complemented
10	#23777030	C₂	1	8	yes	maximal, complemented
11	#23777028	C₂	1	8	yes	maximal, complemented
12	#23776728	C₂	1	2	yes	maximal, complemented
13	#23776727	C₂	1	2	yes	maximal, complemented
14	C₂×#19099121	C₂	1	4	yes	maximal, complemented
15	#534×D₇₉	C₂	1	4	yes	maximal, complemented
16	C₂×#19099035	C₂	1	1	yes	maximal, characteristic, complemented
17	C₇₉×#3496	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#14579207	C₂²	1	8	yes	complemented
19	C₂×#14579207	C₂²	1	4	yes	complemented
20	C₂×#14579206	C₂²	1	8	yes	complemented
21	C₂×#14579206	C₂²	1	2	yes	complemented
22	C₂×#14579206	C₂²	1	8	yes	complemented
23	H(5,𝔽₂)×D₇₉	—	2	32	no	—
24	C₂×#41×D₇₉	C₂²	1	4	yes	complemented
25	C₂×#41×D₇₉	C₂²	1	8	yes	complemented
26	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
27	C₂²×D₄×D₇₉	C₂²	1	8	yes	complemented
28	C₂²×D₄×D₇₉	C₂²	1	8	yes	complemented
29	#19099218	C₂²	1	4	yes	complemented
30	#19099217	C₂²	1	4	yes	complemented
31	#19099216	C₂²	1	4	yes	complemented
32	#19099215	C₂²	1	8	yes	complemented
33	#19099214	C₂²	1	8	yes	complemented
34	#19099213	C₂²	1	8	yes	complemented
35	#19099212	C₂²	1	8	yes	complemented
36	#19099211	C₂²	1	16	yes	complemented
37	#19099210	C₂²	1	8	yes	complemented
38	#19099209	C₂²	1	8	yes	complemented
39	#19099208	C₂²	1	8	yes	complemented
40	#19099207	C₂²	1	8	yes	complemented
41	#19099206	C₂²	1	8	yes	complemented
42	#19099205	C₂²	1	16	yes	complemented
43	#19099204	C₂²	1	8	yes	complemented
44	#19099203	C₂²	1	16	yes	complemented
45	#19099202	C₂²	1	16	yes	complemented
46	#19099201	C₂²	1	8	yes	complemented
47	#19099200	C₂²	1	16	yes	complemented
48	D₄×D₃₁₆	C₂²	1	4	yes	complemented
49	D₄×D₃₁₆	C₂²	1	4	yes	complemented
50	#19099198	C₂²	1	4	yes	complemented
51	#19099197	C₂²	1	8	yes	complemented
52	#19099197	C₂²	1	8	yes	complemented
53	D₄×C₂²⋊D₇₉	C₂²	1	8	yes	complemented
54	D₄×C₂²⋊D₇₉	C₂²	1	8	yes	complemented
55	#19099195	C₂²	1	16	yes	complemented
56	#19099144	C₂²	1	2	yes	complemented
57	#19099141	C₂²	1	4	yes	complemented
58	#19099140	C₂²	1	4	yes	complemented
59	#19099140	C₂²	1	4	yes	complemented
60	#19099138	C₂²	1	4	yes	complemented
61	#19099136	C₂²	1	8	yes	complemented
62	#19099133	C₂²	1	4	yes	complemented
63	#19099131	C₂²	1	4	yes	complemented
64	#19099129	C₂²	1	8	yes	complemented
65	#19099126	C₂²	1	4	yes	complemented
66	#19099125	C₂²	1	4	yes	complemented
67	#19099124	C₂²	1	16	yes	complemented
68	#19099123	C₂²	1	16	yes	complemented
69	#19099122	C₂²	1	8	yes	complemented
70	#19099121	C₂²	1	4	yes	complemented
71	#19099121	C₂²	1	8	yes	complemented
72	#19099121	C₂²	1	4	yes	complemented
73	#19099121	C₂²	1	16	yes	complemented
74	#19099121	C₂²	1	16	yes	complemented
75	#19099121	C₂²	1	8	yes	complemented
76	#19099121	C₂²	1	8	yes	complemented
77	#19099113	C₂²	1	2	yes	complemented
78	#19099109	C₂²	1	4	yes	complemented
79	#19099108	C₂²	1	8	yes	complemented
80	#19099076	C₂²	1	8	yes	complemented
81	#19099073	C₂²	1	8	yes	complemented
82	#19099072	C₂²	1	8	yes	complemented
83	#19099072	C₂²	1	8	yes	complemented
84	C₂×#14579146	C₂²	1	8	yes	complemented
85	C₂×#14579143	C₂²	1	8	yes	complemented
86	#123×D₇₉	C₂²	1	16	yes	complemented
87	C₂×#14579135	C₂²	1	4	yes	complemented
88	C₂×#14579133	C₂²	1	8	yes	complemented
89	#121×D₇₉	C₂²	1	8	yes	complemented
90	#121×D₇₉	C₂²	1	8	yes	complemented
91	C₂×#14579131	C₂²	1	8	yes	complemented
92	C₂×#14579129	C₂²	1	8	yes	complemented
93	#120×D₇₉	C₂²	1	16	yes	complemented
94	#19099035	C₂²	1	8	yes	complemented
95	#19099035	C₂²	1	8	yes	complemented
96	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
97	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
98	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
99	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
100	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
101	C₂×#14579119	C₂²	1	1	yes	characteristic, complemented
102	C₂×#14579118	C₂²	1	1	yes	characteristic, complemented
103	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	complemented
104	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	complemented
105	C₂×H(5,𝔽₂)×C₇₉	C₂²	1	2	yes	complemented
106	#547×C₇₉	C₂²	1	4	yes	complemented
107	#546×C₇₉	C₂²	1	8	yes	complemented
108	D₄²×C₇₉	C₂²	1	4	yes	complemented
109	#537×C₇₉	C₂²	1	2	yes	complemented
110	#534×C₇₉	C₂²	1	4	yes	complemented
111	#532×C₇₉	C₂²	1	2	yes	complemented
112	C₂×#121×C₇₉	C₂²	1	4	yes	complemented
113	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
114	C₂⁴×D₇₉	C₂³	1	2	yes	—
115	C₂⁴×D₇₉	C₂³	1	8	yes	complemented
116	#14579207	—	2	32	no	—
117	#14579207	—	2	64	no	—
118	#14579206	—	2	16	no	—
119	#14579206	—	2	64	no	—
120	#14579206	—	2	64	no	—
121	C₂×#11929625	C₂³	1	4	yes	—
122	C₂×#11929625	C₂³	1	8	yes	complemented
123	C₂×#11929624	C₂³	1	8	yes	—
124	C₂×#11929624	C₂³	1	4	yes	complemented
125	C₂×#11929624	C₂³	1	16	yes	complemented
126	C₂×#11929624	C₂³	1	8	yes	complemented
127	C₂×#11929623	C₂³	1	4	yes	—
128	C₂×#11929623	C₂³	1	8	yes	complemented
129	C₂×#11929623	C₂³	1	16	yes	complemented
130	C₂×#11929623	C₂³	1	8	yes	complemented
131	#41×D₇₉	—	2	64	no	—
132	#41×D₇₉	—	2	32	no	—
133	C₂×Q₈×D₇₉	C₂³	1	4	yes	complemented
134	C₂²×D₃₁₆	C₂³	1	8	yes	—
135	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
136	C₂²×D₃₁₆	C₂³	1	8	yes	complemented
137	C₂²×D₃₁₆	C₂³	1	4	yes	complemented
138	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	—
139	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
140	C₂²×C₂²⋊D₇₉	C₂³	1	16	yes	complemented
141	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
142	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
143	C₂×D₄×D₇₉	—	2	64	no	—
144	C₂×D₄×D₇₉	—	2	64	no	—
145	C₂×D₄×D₇₉	D₄	1	16	yes	complemented
146	C₂×D₄×D₇₉	C₂³	1	16	yes	—
147	C₂×D₄×D₇₉	C₂³	1	8	yes	—
148	C₂×D₄×D₇₉	C₂³	1	8	yes	—
149	C₂×D₄×D₇₉	C₂³	1	16	yes	complemented
150	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
151	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
152	C₂×D₄×D₇₉	C₂³	1	16	yes	complemented
153	C₂×D₄×D₇₉	C₂³	1	16	yes	complemented
154	C₂×D₄×D₇₉	C₂³	1	4	yes	complemented
155	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
156	C₂×D₄×D₇₉	C₂³	1	8	yes	complemented
157	C₂³×Dic₇₉	C₂³	1	2	yes	complemented
158	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
159	C₂²×C₄×D₇₉	C₂³	1	8	yes	complemented
160	C₂²×C₄×D₇₉	C₂³	1	8	yes	complemented
161	C₂²×C₄×D₇₉	C₂³	1	2	yes	complemented
162	C₂²×C₄×D₇₉	C₂³	1	2	yes	complemented
163	#14579161	C₂³	1	2	yes	complemented
164	#14579160	C₂³	1	8	yes	complemented
165	#14579159	C₂³	1	4	yes	complemented
166	#14579158	C₂³	1	2	yes	complemented
167	#14579157	C₂³	1	8	yes	complemented
168	#14579157	C₂³	1	4	yes	complemented
169	#14579150	C₂³	1	4	yes	complemented
170	#14579149	C₂³	1	4	yes	complemented
171	#14579148	C₂³	1	4	yes	complemented
172	#14579147	C₂³	1	16	yes	complemented
173	#14579146	C₂³	1	16	yes	complemented
174	#14579146	C₂³	1	8	yes	complemented
175	#14579146	C₂³	1	8	yes	complemented
176	#14579146	C₂³	1	16	yes	complemented
177	#14579146	C₂³	1	16	yes	complemented
178	#14579145	C₂³	1	16	yes	complemented
179	#14579144	C₂³	1	16	yes	complemented
180	#14579143	C₂³	1	16	yes	complemented
181	#14579143	C₂³	1	16	yes	complemented
182	#14579143	C₂³	1	16	yes	complemented
183	#14579143	C₂³	1	8	yes	complemented
184	#14579143	C₂³	1	8	yes	complemented
185	#14579142	C₂³	1	16	yes	complemented
186	#14579141	C₂³	1	8	yes	complemented
187	#14579140	C₂³	1	8	yes	complemented
188	#14579139	C₂³	1	8	yes	complemented
189	#14579139	C₂³	1	8	yes	complemented
190	#14579138	C₂³	1	8	yes	complemented
191	#14579138	C₂³	1	8	yes	complemented
192	#14579137	C₂³	1	8	yes	complemented
193	#14579136	C₂³	1	8	yes	complemented
194	#14579136	C₂³	1	8	yes	complemented
195	#14579136	C₂³	1	8	yes	complemented
196	#14579135	C₂³	1	4	yes	complemented
197	#14579135	C₂³	1	4	yes	complemented
198	#14579135	C₂³	1	8	yes	complemented
199	#14579135	C₂³	1	8	yes	complemented
200	#14579135	C₂³	1	8	yes	complemented
201	#14579135	C₂³	1	8	yes	complemented
202	#14579134	C₂³	1	8	yes	complemented
203	#14579134	C₂³	1	8	yes	complemented
204	#14579134	C₂³	1	16	yes	complemented
205	#14579134	C₂³	1	16	yes	complemented
206	#14579133	C₂³	1	8	yes	complemented
207	#14579133	C₂³	1	8	yes	complemented
208	#14579133	C₂³	1	8	yes	complemented
209	#14579133	C₂³	1	8	yes	complemented
210	#14579133	C₂³	1	16	yes	complemented
211	#14579133	C₂³	1	16	yes	complemented
212	#14579133	C₂³	1	16	yes	complemented
213	#14579132	C₂³	1	8	yes	complemented
214	#14579132	C₂³	1	8	yes	complemented
215	#14579132	C₂³	1	8	yes	complemented
216	#14579131	C₂³	1	16	yes	complemented
217	#14579131	C₂³	1	16	yes	complemented
218	#14579131	C₂³	1	16	yes	complemented
219	#14579131	C₂³	1	8	yes	complemented
220	#14579131	C₂³	1	16	yes	complemented
221	#14579131	C₂³	1	8	yes	complemented
222	#14579130	C₂³	1	16	yes	complemented
223	#14579129	C₂³	1	16	yes	complemented
224	#14579129	C₂³	1	16	yes	complemented
225	#14579129	C₂³	1	16	yes	complemented
226	#14579129	C₂³	1	8	yes	complemented
227	#14579129	C₂³	1	16	yes	complemented
228	#14579129	C₂³	1	8	yes	complemented
229	C₄×D₃₁₆	C₂³	1	4	yes	complemented
230	C₄×D₃₁₆	C₂³	1	4	yes	complemented
231	C₄×D₃₁₆	C₂³	1	4	yes	complemented
232	C₄×D₃₁₆	C₂³	1	4	yes	complemented
233	D₄×Dic₇₉	C₂³	1	8	yes	complemented
234	D₄×Dic₇₉	C₂³	1	8	yes	complemented
235	#14579123	C₂³	1	8	yes	complemented
236	#14579123	C₂³	1	8	yes	complemented
237	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
238	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
239	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
240	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
241	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
242	(C₂²⋊D₇₉)⋊C₄	C₂³	1	16	yes	complemented
243	#14579119	C₂³	1	8	yes	complemented
244	#14579118	C₂³	1	4	yes	complemented
245	#14579118	C₂³	1	4	yes	complemented
246	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic, complemented
247	C₂×C₄⋊Dic₇₉	C₂³	1	4	yes	complemented
248	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
249	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
250	C₂×Dic₇₉⋊C₄	C₂³	1	8	yes	complemented
251	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
252	C₄⋊C₄×D₇₉	C₂³	1	8	yes	complemented
253	C₂×C₂²⋊Dic₇₉	C₂³	1	8	yes	complemented
254	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	complemented
255	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
257	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	complemented
259	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	complemented
260	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	complemented
261	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	complemented
262	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	complemented
263	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	complemented
264	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
265	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
266	C₂²⋊C₄×D₇₉	C₂³	1	16	yes	complemented
267	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic, complemented
268	C₂×C₄×Dic₇₉	C₂³	1	2	yes	complemented
269	H(5,𝔽₂)×C₇₉	—	2	16	no	—
270	C₂×#41×C₇₉	C₂³	1	4	yes	complemented
271	C₂×#41×C₇₉	C₂³	1	8	yes	complemented
272	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
273	C₂²×D₄×C₇₉	C₂³	1	8	yes	complemented
274	C₂²×D₄×C₇₉	C₂³	1	8	yes	complemented
275	C₂²×D₄×C₇₉	C₂³	1	4	yes	complemented
276	C₂³×C₄×C₇₉	C₂³	1	2	yes	complemented
277	C₄⋊Q₈×C₇₉	C₂³	1	2	yes	complemented
278	#127×C₇₉	C₂³	1	2	yes	complemented
279	#124×C₇₉	C₂³	1	4	yes	complemented
280	#123×C₇₉	C₂³	1	16	yes	complemented
281	C₂²⋊Q₈×C₇₉	C₂³	1	8	yes	complemented
282	#121×C₇₉	C₂³	1	4	yes	complemented
283	#121×C₇₉	C₂³	1	4	yes	complemented
284	#121×C₇₉	C₂³	1	8	yes	complemented
285	#121×C₇₉	C₂³	1	8	yes	complemented
286	#121×C₇₉	C₂³	1	8	yes	complemented
287	#121×C₇₉	C₂³	1	8	yes	complemented
288	#120×C₇₉	C₂³	1	16	yes	complemented
289	C₄×D₄×C₇₉	C₂³	1	4	yes	complemented
290	C₄×D₄×C₇₉	C₂³	1	4	yes	complemented
291	C₄×D₄×C₇₉	C₂³	1	4	yes	complemented
292	C₄×D₄×C₇₉	C₂³	1	4	yes	complemented
293	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic, complemented
294	C₂×C₄⋊C₄×C₇₉	C₂³	1	4	yes	complemented
295	C₂×C₂²⋊C₄×C₇₉	C₂³	1	8	yes	complemented
296	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	complemented
297	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic, complemented
298	C₂³×D₇₉	—	2	32	no	—
299	C₂³×D₇₉	—	8	2	no	—
300	C₂³×D₇₉	—	8	2	no	—
301	C₂³×D₇₉	—	8	8	no	—
302	C₂³×D₇₉	—	8	8	no	—
303	C₂³×D₇₉	C₂×D₄	1	16	yes	complemented
304	C₂³×D₇₉	C₂⁴	1	8	yes	—
305	C₂³×D₇₉	C₂⁴	1	16	yes	—
306	C₂³×D₇₉	C₂⁴	1	8	yes	—
307	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
308	C₂³×D₇₉	C₂⁴	1	8	yes	—
309	C₂³×D₇₉	C₂⁴	1	2	yes	—
310	#11929625	—	2	32	no	—
311	#11929625	—	2	16	no	—
312	#11929624	—	2	32	no	—
313	#11929624	—	2	32	no	—
314	#11929624	—	2	16	no	—
315	#11929624	—	2	64	no	—
316	#11929623	—	2	32	no	—
317	#11929623	—	2	16	no	—
318	#11929623	—	2	32	no	—
319	#11929623	—	2	64	no	—
320	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
321	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
322	Q₈×D₇₉	—	2	16	no	—
323	C₂×D₃₁₆	—	2	32	no	—
324	C₂×D₃₁₆	—	2	32	no	—
325	C₂×D₃₁₆	—	8	4	no	—
326	C₂×D₃₁₆	C₂×D₄	1	8	yes	complemented
327	C₂×D₃₁₆	C₂⁴	1	8	yes	—
328	C₂×D₃₁₆	C₂⁴	1	4	yes	—
329	C₂×D₃₁₆	C₂⁴	1	16	yes	—
330	C₂×D₃₁₆	C₂⁴	1	8	yes	—
331	C₂×D₃₁₆	C₂⁴	1	4	yes	—
332	C₂×D₃₁₆	C₂⁴	1	4	yes	—
333	C₂×D₃₁₆	C₂⁴	1	4	yes	—
334	C₂×C₂²⋊D₇₉	—	2	32	no	—
335	C₂×C₂²⋊D₇₉	—	2	32	no	—
336	C₂×C₂²⋊D₇₉	—	2	64	no	—
337	C₂×C₂²⋊D₇₉	—	8	8	no	—
338	C₂×C₂²⋊D₇₉	C₂×D₄	1	16	yes	complemented
339	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
340	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
341	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
342	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
343	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
344	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
345	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
346	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
347	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
348	D₄×D₇₉	—	2	32	no	—
349	D₄×D₇₉	—	2	16	no	—
350	D₄×D₇₉	—	2	32	no	—
351	D₄×D₇₉	—	2	64	no	—
352	D₄×D₇₉	—	2	64	no	—
353	D₄×D₇₉	—	2	64	no	—
354	D₄×D₇₉	—	2	32	no	—
355	D₄×D₇₉	—	2	64	no	—
356	D₄×D₇₉	—	8	8	no	—
357	D₄×D₇₉	—	8	8	no	—
358	D₄×D₇₉	C₂×D₄	1	64	yes	complemented
359	C₂²×Dic₇₉	—	8	2	no	—
360	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
361	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
362	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
363	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
364	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
365	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
366	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
367	C₂×C₄×D₇₉	—	2	32	no	—
368	C₂×C₄×D₇₉	—	2	32	no	—
369	C₂×C₄×D₇₉	—	8	2	no	—
370	C₂×C₄×D₇₉	—	8	2	no	—
371	C₂×C₄×D₇₉	C₂×D₄	1	8	yes	complemented
372	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
373	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
374	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
375	C₂×C₄×D₇₉	C₂⁴	1	16	yes	—
376	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
377	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
378	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
379	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
380	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
381	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
382	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
383	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
384	Dic₇₉⋊C₄	C₂⁴	1	16	yes	—
385	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
386	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
387	Dic₇₉⋊C₄	C₂⁴	1	2	yes	—
388	Dic₇₉⋊C₄	C₂⁴	1	2	yes	—
389	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
390	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
391	C₂²⋊Dic₇₉	C₂⁴	1	16	yes	—
392	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
393	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
394	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
395	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
396	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
397	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
398	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
399	(C₂×D₇₉)⋊C₄	C₂⁴	1	2	yes	—
400	(C₂×D₇₉)⋊C₄	C₂⁴	1	2	yes	—
401	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
402	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
403	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
404	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
405	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
406	C₄×Dic₇₉	C₂⁴	1	4	yes	—
407	C₄×Dic₇₉	C₂⁴	1	8	yes	—
408	C₂⁴×C₇₉	C₂⁴	1	8	yes	—
409	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
410	#41×C₇₉	—	2	32	no	—
411	#41×C₇₉	—	2	16	no	—
412	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
413	C₂×D₄×C₇₉	—	2	32	no	—
414	C₂×D₄×C₇₉	—	2	32	no	—
415	C₂×D₄×C₇₉	—	8	4	no	—
416	C₂×D₄×C₇₉	C₂×D₄	1	8	yes	complemented
417	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
418	C₂×D₄×C₇₉	C₂⁴	1	16	yes	—
419	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
420	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
421	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
422	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
423	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
424	C₂²×C₄×C₇₉	—	8	2	no	—
425	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
426	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
427	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
430	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
431	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
432	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
433	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
434	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
435	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
436	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
437	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
438	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
439	C₂²⋊C₄×C₇₉	C₂⁴	1	16	yes	—
440	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
441	C₄²×C₇₉	C₂⁴	1	2	yes	—
442	C₄²×C₇₉	C₂⁴	1	2	yes	—
443	C₂³×C₇₉	—	2	16	no	—
444	C₂³×C₇₉	—	4	2	no	—
445	C₂³×C₇₉	—	4	2	no	—
446	C₂³×C₇₉	—	4	8	no	—
447	C₂³×C₇₉	—	4	8	no	—
448	C₂³×C₇₉	C₂²×D₄	1	8	yes	—
449	C₂³×C₇₉	C₂⁵	1	8	yes	—
450	C₂³×C₇₉	C₂⁵	1	4	yes	—
451	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
452	C₂²×D₇₉	—	2	16	no	—
453	C₂²×D₇₉	—	2	16	no	—
454	C₂²×D₇₉	—	2	32	no	—
455	C₂²×D₇₉	—	4	2	no	—
456	C₂²×D₇₉	—	4	2	no	—
457	C₂²×D₇₉	—	4	1	no	—
458	C₂²×D₇₉	—	4	1	no	—
459	C₂²×D₇₉	—	4	8	no	—
460	C₂²×D₇₉	—	4	8	no	—
461	C₂²×D₇₉	—	4	8	no	—
462	C₂²×D₇₉	—	4	8	no	—
463	C₂²×D₇₉	—	4	16	no	—
464	C₂²×D₇₉	—	4	16	no	—
465	C₂²×D₇₉	—	4	8	no	—
466	C₂²×D₇₉	—	4	8	no	—
467	C₂²×D₇₉	—	8	16	no	—
468	C₂²×D₇₉	—	8	64	no	—
469	C₂²×D₇₉	C₂²×D₄	1	32	yes	—
470	C₂²×D₇₉	C₂²×D₄	1	4	yes	—
471	C₂²×D₇₉	C₂²×D₄	1	8	yes	—
472	C₂²×D₇₉	C₂⁵	1	8	yes	—
473	C₂²×D₇₉	C₂⁵	1	2	yes	—
474	C₂²×D₇₉	C₂⁵	1	4	yes	—
475	Q₈×C₇₉	—	2	8	no	—
476	D₄×C₇₉	—	2	16	no	—
477	D₄×C₇₉	—	2	32	no	—
478	D₄×C₇₉	—	2	8	no	—
479	D₄×C₇₉	—	4	4	no	—
480	D₄×C₇₉	—	4	8	no	—
481	D₄×C₇₉	—	4	4	no	—
482	D₄×C₇₉	C₂²×D₄	1	16	yes	—
483	C₂×C₄×C₇₉	—	2	16	no	—
484	C₂×C₄×C₇₉	—	2	16	no	—
485	C₂×C₄×C₇₉	—	4	1	no	—
486	C₂×C₄×C₇₉	—	4	2	no	—
487	C₂×C₄×C₇₉	—	4	4	no	—
488	C₂×C₄×C₇₉	—	4	1	no	—
489	C₂×C₄×C₇₉	—	4	4	no	—
490	C₂×C₄×C₇₉	C₂²×D₄	1	4	yes	—
491	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
492	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
493	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
494	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
495	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
496	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
497	C₂²⋊D₇₉	—	2	16	no	—
498	C₂²⋊D₇₉	—	2	32	no	—
499	C₂²⋊D₇₉	—	2	32	no	—
500	C₂²⋊D₇₉	—	2	16	no	—
501	C₂²⋊D₇₉	—	2	16	no	—
502	C₂²⋊D₇₉	—	4	8	no	—
503	C₂²⋊D₇₉	—	4	16	no	—
504	C₂²⋊D₇₉	—	4	8	no	—
505	C₂²⋊D₇₉	C₂²×D₄	1	32	yes	—
506	C₂×Dic₇₉	—	2	16	no	—
507	C₂×Dic₇₉	—	2	16	no	—
508	C₂×Dic₇₉	—	4	1	no	—
509	C₂×Dic₇₉	—	4	2	no	—
510	C₂×Dic₇₉	—	4	1	no	—
511	C₂×Dic₇₉	—	4	8	no	—
512	C₂×Dic₇₉	C₂²×D₄	1	4	yes	—
513	C₂×Dic₇₉	C₂⁵	1	2	yes	—
514	C₂×Dic₇₉	C₂⁵	1	4	yes	—
515	C₂×Dic₇₉	C₂⁵	1	2	yes	—
516	C₂×Dic₇₉	C₂⁵	1	8	yes	—
517	C₂×Dic₇₉	C₂⁵	1	2	yes	—
518	D₃₁₆	—	2	32	no	—
519	D₃₁₆	—	2	16	no	—
520	D₃₁₆	—	2	8	no	—
521	D₃₁₆	—	4	4	no	—
522	D₃₁₆	—	4	8	no	—
523	D₃₁₆	—	4	4	no	—
524	D₃₁₆	C₂²×D₄	1	16	yes	—
525	C₄×D₇₉	—	2	16	no	—
526	C₄×D₇₉	—	2	32	no	—
527	C₄×D₇₉	—	2	16	no	—
528	C₄×D₇₉	—	2	16	no	—
529	C₄×D₇₉	—	4	8	no	—
530	C₄×D₇₉	—	4	8	no	—
531	C₄×D₇₉	C₂²×D₄	1	16	yes	—
532	Dic₁₅₈	—	2	8	no	—
533	Dic₁₅₈	—	2	16	no	—
534	C₂²×C₇₉	—	2	1	no	—
535	C₂²×C₇₉	—	2	4	no	—
536	C₂²×C₇₉	—	2	1	no	—
537	C₂²×C₇₉	—	2	4	no	—
538	C₂²×C₇₉	—	2	8	no	—
539	C₂²×C₇₉	—	2	8	no	—
540	C₂²×C₇₉	—	2	8	no	—
541	C₂²×C₇₉	—	4	8	no	—
542	C₂²×C₇₉	—	8	16	no	—
543	C₂²×C₇₉	C₂³×D₄	1	2	yes	—
544	C₂²×C₇₉	C₂³×D₄	1	8	yes	—
545	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
546	C₂×D₇₉	—	2	2	no	—
547	C₂×D₇₉	—	2	2	no	—
548	C₂×D₇₉	—	2	4	no	—
549	C₂×D₇₉	—	2	4	no	—
550	C₂×D₇₉	—	2	8	no	—
551	C₂×D₇₉	—	2	8	no	—
552	C₂×D₇₉	—	2	8	no	—
553	C₂×D₇₉	—	4	4	no	—
554	C₂×D₇₉	—	4	32	no	—
555	C₂×D₇₉	—	4	8	no	—
556	C₂×D₇₉	—	4	32	no	—
557	C₂×D₇₉	—	8	32	no	—
558	C₂×D₇₉	—	8	16	no	—
559	C₂×D₇₉	C₂³×D₄	1	8	yes	—
560	C₂×D₇₉	C₂³×D₄	1	4	yes	—
561	C₄×C₇₉	—	2	8	no	—
562	C₄×C₇₉	—	2	1	no	—
563	C₄×C₇₉	—	2	1	no	—
564	C₄×C₇₉	—	2	4	no	—
565	C₄×C₇₉	—	2	2	no	—
566	C₄×C₇₉	C₂³×D₄	1	4	yes	—
567	Dic₇₉	—	2	8	no	—
568	Dic₇₉	—	2	2	no	—
569	Dic₇₉	—	2	4	no	—
570	Dic₇₉	—	2	2	no	—
571	Dic₇₉	C₂³×D₄	1	4	yes	—
572	#62842	—	79	1	no	maximal, Sylow
573	C₂×C₇₉	—	2	2	no	—
574	C₂×C₇₉	—	2	8	no	—
575	C₂×C₇₉	—	4	8	no	—
576	C₂×C₇₉	C₂⁴×D₄	1	1	yes	characteristic
577	C₂×C₇₉	H(7,𝔽₂)	1	1	yes	characteristic
578	C₂×C₇₉	H(7,𝔽₂)	1	1	yes	characteristic
579	D₇₉	—	2	4	no	—
580	D₇₉	—	2	8	no	—
581	D₇₉	—	4	8	no	—
582	C₂²×H(5,𝔽₂)	—	79	2	no	—
583	#3496	—	79	2	no	—
584	#3496	—	79	2	no	—
585	#3496	—	79	4	no	—
586	#3496	—	79	2	no	—
587	#3496	—	79	4	no	—
588	#3496	—	79	1	no	—
589	#3496	D₇₉	1	1	yes	characteristic, complemented
590	#3485	—	79	8	no	—
591	#3485	—	79	8	no	—
592	#3484	—	79	8	no	—
593	#3484	—	79	8	no	—
594	#3449	—	79	2	no	—
595	#3449	—	79	2	no	—
596	C₂×#534	—	79	4	no	—
597	C₂×#534	—	79	4	no	—
598	C₂×#518	—	79	1	no	—
599	C₇₉	#62842	1	1	yes	characteristic, complemented, Sylow
600	C₂×H(5,𝔽₂)	—	79	8	no	—
601	C₂×H(5,𝔽₂)	—	79	4	no	—
602	C₂×H(5,𝔽₂)	—	79	2	no	—
603	C₂×H(5,𝔽₂)	—	79	8	no	—
604	C₂×H(5,𝔽₂)	—	79	8	no	—
605	C₂×H(5,𝔽₂)	—	158	32	no	—
606	C₂×H(5,𝔽₂)	C₂×D₇₉	1	2	yes	complemented
607	C₂²×#41	—	79	4	no	—
608	C₂²×#41	—	79	8	no	—
609	C₂³×D₄	—	79	1	no	—
610	C₂³×D₄	—	79	8	no	—
611	C₂³×D₄	—	79	8	no	—
612	#547	—	79	8	no	—
613	#547	—	79	4	no	—
614	#547	—	79	16	no	—
615	#547	—	79	8	no	—
616	#547	—	79	8	no	—
617	#547	—	79	4	no	—
618	#547	—	79	4	no	—
619	#547	—	79	8	no	—
620	#547	C₂×D₇₉	1	4	yes	complemented
621	#546	—	79	8	no	—
622	#546	—	79	8	no	—
623	#546	—	79	8	no	—
624	#546	—	79	16	no	—
625	#546	—	79	8	no	—
626	#546	—	79	16	no	—
627	#546	—	79	8	no	—
628	#546	—	79	16	no	—
629	#546	—	79	8	no	—
630	#546	—	79	8	no	—
631	#546	—	79	16	no	—
632	#546	C₂×D₇₉	1	8	yes	complemented
633	D₄²	—	79	8	no	—
634	D₄²	—	79	8	no	—
635	D₄²	—	79	4	no	—
636	D₄²	—	79	8	no	—
637	D₄²	—	79	8	no	—
638	D₄²	—	79	16	no	—
639	D₄²	—	79	4	no	—
640	D₄²	—	79	4	no	—
641	D₄²	C₂×D₇₉	1	4	yes	complemented
642	#537	—	79	4	no	—
643	#537	—	79	4	no	—
644	#537	—	79	4	no	—
645	#537	—	79	2	no	—
646	#537	C₂×D₇₉	1	2	yes	complemented
647	#536	—	79	4	no	—
648	#536	—	79	4	no	—
649	#536	—	79	8	no	—
650	#535	—	79	4	no	—
651	#535	—	79	4	no	—
652	#535	—	79	8	no	—
653	#534	—	79	8	no	—
654	#534	—	79	16	no	—
655	#534	—	79	4	no	—
656	#534	—	79	8	no	—
657	#534	—	79	4	no	—
658	#534	—	79	16	no	—
659	#534	—	79	16	no	—
660	#534	—	79	8	no	—
661	#534	—	79	8	no	—
662	#534	—	79	16	no	—
663	#534	—	79	4	no	—
664	#534	C₂×D₇₉	1	4	yes	complemented
665	#532	—	79	4	no	—
666	#532	—	79	8	no	—
667	#532	—	79	2	no	—
668	#532	C₂×D₇₉	1	2	yes	complemented
669	#525	—	79	8	no	—
670	#525	—	79	8	no	—
671	#525	—	79	8	no	—
672	#525	—	79	8	no	—
673	C₂×#123	—	79	16	no	—
674	C₂×#123	—	79	8	no	—
675	C₂×#123	—	79	8	no	—
676	C₂×#121	—	79	8	no	—
677	C₂×#121	—	79	4	no	—
678	C₂×#121	—	79	8	no	—
679	C₂×#121	—	79	8	no	—
680	C₂×#121	C₂×D₇₉	1	4	yes	complemented
681	C₂×#120	—	79	8	no	—
682	C₂×#120	—	79	16	no	—
683	C₂×#120	—	79	8	no	—
684	#518	—	79	8	no	—
685	#518	—	79	8	no	—
686	C₂×C₄×D₄	—	79	1	no	—
687	C₂×C₄×D₄	—	79	2	no	—
688	C₂×C₄×D₄	—	79	1	no	—
689	C₂×C₄×D₄	—	79	2	no	—
690	C₂×C₄×D₄	—	79	1	no	—
691	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
692	C₂×#117	—	79	1	no	—
693	C₂×#117	—	79	1	no	—
694	C₂²×C₂²⋊C₄	—	79	2	no	—
695	C₂²×C₂²⋊C₄	—	79	2	no	—
696	C₂⁵	—	79	2	no	—
697	C₂⁵	—	79	8	no	—
698	H(5,𝔽₂)	—	2	16	no	—
699	H(5,𝔽₂)	—	158	64	no	—
700	H(5,𝔽₂)	—	158	64	no	—
701	H(5,𝔽₂)	—	158	64	no	—
702	H(5,𝔽₂)	—	158	32	no	—
703	H(5,𝔽₂)	—	158	16	no	—
704	C₂×#41	—	79	4	no	—
705	C₂×#41	—	79	8	no	—
706	C₂×#41	—	79	4	no	—
707	C₂×#41	—	79	8	no	—
708	C₂×#41	—	79	8	no	—
709	C₂×#41	—	79	16	no	—
710	C₂×#41	—	79	8	no	—
711	C₂×#41	—	79	4	no	—
712	C₂×#41	—	79	8	no	—
713	C₂×#41	—	79	16	no	—
714	C₂×#41	—	158	32	no	—
715	C₂×#41	—	158	64	no	—
716	C₂×#41	C₂²×D₇₉	1	4	yes	complemented
717	C₂×#41	C₂²×D₇₉	1	8	yes	complemented
718	C₂²×Q₈	—	79	4	no	—
719	C₂²×D₄	—	79	2	no	—
720	C₂²×D₄	—	79	16	no	—
721	C₂²×D₄	—	79	8	no	—
722	C₂²×D₄	—	79	8	no	—
723	C₂²×D₄	—	79	8	no	—
724	C₂²×D₄	—	79	8	no	—
725	C₂²×D₄	—	79	16	no	—
726	C₂²×D₄	—	79	8	no	—
727	C₂²×D₄	—	79	8	no	—
728	C₂²×D₄	—	79	16	no	—
729	C₂²×D₄	—	79	16	no	—
730	C₂²×D₄	—	79	8	no	—
731	C₂²×D₄	—	79	16	no	—
732	C₂²×D₄	—	79	4	no	—
733	C₂²×D₄	—	79	16	no	—
734	C₂²×D₄	—	79	8	no	—
735	C₂²×D₄	—	79	8	no	—
736	C₂²×D₄	—	79	1	no	—
737	C₂²×D₄	—	79	4	no	—
738	C₂²×D₄	—	79	8	no	—
739	C₂²×D₄	—	79	8	no	—
740	C₂²×D₄	—	158	64	no	—
741	C₂²×D₄	—	158	64	no	—
742	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
743	C₂²×D₄	C₂²×D₇₉	1	8	yes	complemented
744	C₂²×D₄	C₂²×D₇₉	1	8	yes	complemented
745	C₂²×D₄	C₂²×D₇₉	1	4	yes	complemented
746	C₂³×C₄	—	79	1	no	—
747	C₂³×C₄	—	79	2	no	—
748	C₂³×C₄	—	79	2	no	—
749	C₂³×C₄	—	79	2	no	—
750	C₂³×C₄	—	79	8	no	—
751	C₂³×C₄	—	79	8	no	—
752	C₂³×C₄	C₂²×D₇₉	1	2	yes	complemented
753	C₄⋊Q₈	—	79	4	no	—
754	C₄⋊Q₈	—	79	8	no	—
755	C₄⋊Q₈	—	79	2	no	—
756	C₄⋊Q₈	C₂²×D₇₉	1	2	yes	complemented
757	#127	—	79	4	no	—
758	#127	—	79	8	no	—
759	#127	—	79	2	no	—
760	#127	C₂²×D₇₉	1	2	yes	complemented
761	#124	—	79	4	no	—
762	#124	—	79	4	no	—
763	#124	—	79	16	no	—
764	#124	—	79	4	no	—
765	#124	C₂²×D₇₉	1	4	yes	complemented
766	#123	—	79	16	no	—
767	#123	—	79	16	no	—
768	#123	—	79	8	no	—
769	#123	—	79	16	no	—
770	#123	—	79	8	no	—
771	#123	—	79	16	no	—
772	#123	—	79	16	no	—
773	#123	—	79	8	no	—
774	#123	—	79	16	no	—
775	#123	—	79	8	no	—
776	#123	—	79	16	no	—
777	#123	—	79	16	no	—
778	#123	—	79	16	no	—
779	#123	C₂²×D₇₉	1	16	yes	complemented
780	C₂²⋊Q₈	—	79	8	no	—
781	C₂²⋊Q₈	—	79	8	no	—
782	C₂²⋊Q₈	—	79	8	no	—
783	C₂²⋊Q₈	—	79	8	no	—
784	C₂²⋊Q₈	—	79	8	no	—
785	C₂²⋊Q₈	—	79	8	no	—
786	C₂²⋊Q₈	—	79	8	no	—
787	C₂²⋊Q₈	C₂²×D₇₉	1	8	yes	complemented
788	#121	—	79	8	no	—
789	#121	—	79	16	no	—
790	#121	—	79	8	no	—
791	#121	—	79	8	no	—
792	#121	—	79	8	no	—
793	#121	—	79	16	no	—
794	#121	—	79	16	no	—
795	#121	—	79	8	no	—
796	#121	—	79	8	no	—
797	#121	—	79	8	no	—
798	#121	—	79	8	no	—
799	#121	—	79	4	no	—
800	#121	—	79	4	no	—
801	#121	—	79	8	no	—
802	#121	—	79	8	no	—
803	#121	—	79	8	no	—
804	#121	—	79	8	no	—
805	#121	—	79	8	no	—
806	#121	—	79	8	no	—
807	#121	—	79	16	no	—
808	#121	—	79	16	no	—
809	#121	—	79	8	no	—
810	#121	—	79	8	no	—
811	#121	C₂²×D₇₉	1	4	yes	complemented
812	#121	C₂²×D₇₉	1	8	yes	complemented
813	#121	C₂²×D₇₉	1	4	yes	complemented
814	#121	C₂²×D₇₉	1	8	yes	complemented
815	#121	C₂²×D₇₉	1	8	yes	complemented
816	#121	C₂²×D₇₉	1	8	yes	complemented
817	#120	—	79	16	no	—
818	#120	—	79	16	no	—
819	#120	—	79	8	no	—
820	#120	—	79	8	no	—
821	#120	—	79	16	no	—
822	#120	—	79	16	no	—
823	#120	—	79	16	no	—
824	#120	—	79	8	no	—
825	#120	—	79	16	no	—
826	#120	—	79	8	no	—
827	#120	—	79	16	no	—
828	#120	—	79	16	no	—
829	#120	—	79	16	no	—
830	#120	C₂²×D₇₉	1	16	yes	complemented
831	C₄×D₄	—	79	8	no	—
832	C₄×D₄	—	79	8	no	—
833	C₄×D₄	—	79	8	no	—
834	C₄×D₄	—	79	8	no	—
835	C₄×D₄	—	79	8	no	—
836	C₄×D₄	—	79	8	no	—
837	C₄×D₄	—	79	8	no	—
838	C₄×D₄	—	79	8	no	—
839	C₄×D₄	—	79	16	no	—
840	C₄×D₄	—	79	16	no	—
841	C₄×D₄	—	79	4	no	—
842	C₄×D₄	—	79	4	no	—
843	C₄×D₄	—	79	4	no	—
844	C₄×D₄	—	79	4	no	—
845	C₄×D₄	C₂²×D₇₉	1	4	yes	complemented
846	C₄×D₄	C₂²×D₇₉	1	4	yes	complemented
847	C₄×D₄	C₂²×D₇₉	1	4	yes	complemented
848	C₄×D₄	C₂²×D₇₉	1	4	yes	complemented
849	#117	—	79	8	no	—
850	#117	—	79	4	no	—
851	#117	—	79	4	no	—
852	C₂×C₄⋊C₄	—	79	1	no	—
853	C₂×C₄⋊C₄	—	79	1	no	—
854	C₂×C₄⋊C₄	—	79	1	no	—
855	C₂×C₄⋊C₄	—	79	8	no	—
856	C₂×C₄⋊C₄	—	79	4	no	—
857	C₂×C₄⋊C₄	—	79	8	no	—
858	C₂×C₄⋊C₄	—	79	8	no	—
859	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic, complemented
860	C₂×C₄⋊C₄	C₂²×D₇₉	1	4	yes	complemented
861	C₂×C₂²⋊C₄	—	79	2	no	—
862	C₂×C₂²⋊C₄	—	79	8	no	—
863	C₂×C₂²⋊C₄	—	79	2	no	—
864	C₂×C₂²⋊C₄	—	79	1	no	—
865	C₂×C₂²⋊C₄	—	79	1	no	—
866	C₂×C₂²⋊C₄	—	79	2	no	—
867	C₂×C₂²⋊C₄	—	79	2	no	—
868	C₂×C₂²⋊C₄	—	79	8	no	—
869	C₂×C₂²⋊C₄	—	79	8	no	—
870	C₂×C₂²⋊C₄	—	79	8	no	—
871	C₂×C₂²⋊C₄	—	79	8	no	—
872	C₂×C₂²⋊C₄	—	79	16	no	—
873	C₂×C₂²⋊C₄	—	79	16	no	—
874	C₂×C₂²⋊C₄	—	79	16	no	—
875	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	complemented
876	C₂×C₂²⋊C₄	C₂²×D₇₉	1	8	yes	complemented
877	C₂×C₄²	—	79	1	no	—
878	C₂×C₄²	—	79	2	no	—
879	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic, complemented
880	C₂⁴	—	79	1	no	—
881	C₂⁴	—	79	8	no	—
882	C₂⁴	—	79	2	no	—
883	C₂⁴	—	79	16	no	—
884	C₂⁴	—	79	8	no	—
885	C₂⁴	—	79	8	no	—
886	C₂⁴	—	79	16	no	—
887	C₂⁴	—	632	2	no	—
888	C₂⁴	—	632	2	no	—
889	C₂⁴	—	632	8	no	—
890	C₂⁴	—	632	8	no	—
891	C₂⁴	—	158	32	no	—
892	C₂⁴	C₂³×D₇₉	1	8	yes	—
893	C₂⁴	C₂³×D₇₉	1	2	yes	—
894	#41	—	2	32	no	—
895	#41	—	2	16	no	—
896	#41	—	158	32	no	—
897	#41	—	158	64	no	—
898	#41	—	158	32	no	—
899	#41	—	158	32	no	—
900	#41	—	158	16	no	—
901	#41	—	158	16	no	—
902	#41	—	158	64	no	—
903	#41	—	158	32	no	—
904	#41	—	158	32	no	—
905	#41	—	158	16	no	—
906	C₂×Q₈	—	79	8	no	—
907	C₂×Q₈	—	79	4	no	—
908	C₂×Q₈	—	158	16	no	—
909	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
910	C₂×D₄	—	2	32	no	—
911	C₂×D₄	—	2	32	no	—
912	C₂×D₄	—	8	4	no	—
913	C₂×D₄	—	79	16	no	—
914	C₂×D₄	—	79	8	no	—
915	C₂×D₄	—	79	8	no	—
916	C₂×D₄	—	79	8	no	—
917	C₂×D₄	—	79	16	no	—
918	C₂×D₄	—	79	64	no	—
919	C₂×D₄	—	79	8	no	—
920	C₂×D₄	—	79	16	no	—
921	C₂×D₄	—	79	16	no	—
922	C₂×D₄	—	79	8	no	—
923	C₂×D₄	—	79	8	no	—
924	C₂×D₄	—	79	8	no	—
925	C₂×D₄	—	79	4	no	—
926	C₂×D₄	—	79	4	no	—
927	C₂×D₄	—	79	4	no	—
928	C₂×D₄	—	79	8	no	—
929	C₂×D₄	—	79	16	no	—
930	C₂×D₄	—	79	4	no	—
931	C₂×D₄	—	79	8	no	—
932	C₂×D₄	—	632	4	no	—
933	C₂×D₄	—	632	8	no	—
934	C₂×D₄	—	632	8	no	—
935	C₂×D₄	—	632	8	no	—
936	C₂×D₄	—	158	32	no	—
937	C₂×D₄	—	158	32	no	—
938	C₂×D₄	—	158	16	no	—
939	C₂×D₄	—	158	64	no	—
940	C₂×D₄	—	158	32	no	—
941	C₂×D₄	—	158	32	no	—
942	C₂×D₄	—	158	64	no	—
943	C₂×D₄	—	158	64	no	—
944	C₂×D₄	—	158	64	no	—
945	C₂×D₄	—	158	64	no	—
946	C₂×D₄	—	158	32	no	—
947	C₂×D₄	—	158	32	no	—
948	C₂×D₄	—	158	32	no	—
949	C₂×D₄	D₄×D₇₉	1	8	yes	complemented
950	C₂×D₄	C₂³×D₇₉	1	16	yes	—
951	C₂×D₄	C₂³×D₇₉	1	8	yes	—
952	C₂×D₄	C₂³×D₇₉	1	4	yes	—
953	C₂×D₄	C₂³×D₇₉	1	8	yes	—
954	C₂×D₄	C₂³×D₇₉	1	4	yes	—
955	C₂×D₄	C₂³×D₇₉	1	4	yes	—
956	C₂×D₄	C₂³×D₇₉	1	4	yes	—
957	C₂²×C₄	—	8	2	no	—
958	C₂²×C₄	—	79	1	no	—
959	C₂²×C₄	—	79	2	no	—
960	C₂²×C₄	—	79	1	no	—
961	C₂²×C₄	—	79	8	no	—
962	C₂²×C₄	—	79	8	no	—
963	C₂²×C₄	—	79	8	no	—
964	C₂²×C₄	—	79	1	no	—
965	C₂²×C₄	—	79	4	no	—
966	C₂²×C₄	—	79	8	no	—
967	C₂²×C₄	—	79	8	no	—
968	C₂²×C₄	—	79	8	no	—
969	C₂²×C₄	—	79	16	no	—
970	C₂²×C₄	—	79	8	no	—
971	C₂²×C₄	—	79	8	no	—
972	C₂²×C₄	—	79	8	no	—
973	C₂²×C₄	—	632	2	no	—
974	C₂²×C₄	—	632	2	no	—
975	C₂²×C₄	—	632	2	no	—
976	C₂²×C₄	—	158	32	no	—
977	C₂²×C₄	—	158	32	no	—
978	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
979	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
980	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
981	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
982	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
983	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
984	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
985	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
986	C₄⋊C₄	—	79	8	no	—
987	C₄⋊C₄	—	79	16	no	—
988	C₄⋊C₄	—	79	8	no	—
989	C₄⋊C₄	—	79	2	no	—
990	C₄⋊C₄	—	79	2	no	—
991	C₄⋊C₄	—	79	4	no	—
992	C₄⋊C₄	—	79	8	no	—
993	C₄⋊C₄	—	79	4	no	—
994	C₄⋊C₄	—	79	4	no	—
995	C₄⋊C₄	—	79	4	no	—
996	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
997	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
998	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
999	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1000	C₂²⋊C₄	—	79	8	no	—
1001	C₂²⋊C₄	—	79	8	no	—
1002	C₂²⋊C₄	—	79	16	no	—
1003	C₂²⋊C₄	—	79	8	no	—
1004	C₂²⋊C₄	—	79	8	no	—
1005	C₂²⋊C₄	—	79	2	no	—
1006	C₂²⋊C₄	—	79	2	no	—
1007	C₂²⋊C₄	—	79	4	no	—
1008	C₂²⋊C₄	—	79	8	no	—
1009	C₂²⋊C₄	—	79	4	no	—
1010	C₂²⋊C₄	—	79	4	no	—
1011	C₂²⋊C₄	—	79	8	no	—
1012	C₂²⋊C₄	—	79	16	no	—
1013	C₂²⋊C₄	—	79	8	no	—
1014	C₂²⋊C₄	—	79	16	no	—
1015	C₂²⋊C₄	—	79	8	no	—
1016	C₂²⋊C₄	—	79	8	no	—
1017	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1018	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1019	C₂²⋊C₄	C₂³×D₇₉	1	16	yes	—
1020	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1021	C₄²	—	79	8	no	—
1022	C₄²	—	79	4	no	—
1023	C₄²	C₂³×D₇₉	1	2	yes	—
1024	C₄²	C₂³×D₇₉	1	2	yes	—
1025	C₂³	—	2	16	no	—
1026	C₂³	—	4	2	no	—
1027	C₂³	—	4	2	no	—
1028	C₂³	—	4	8	no	—
1029	C₂³	—	4	8	no	—
1030	C₂³	—	316	2	no	—
1031	C₂³	—	316	2	no	—
1032	C₂³	—	316	1	no	—
1033	C₂³	—	316	8	no	—
1034	C₂³	—	316	1	no	—
1035	C₂³	—	316	8	no	—
1036	C₂³	—	316	8	no	—
1037	C₂³	—	316	8	no	—
1038	C₂³	—	316	8	no	—
1039	C₂³	—	316	8	no	—
1040	C₂³	—	316	16	no	—
1041	C₂³	—	316	16	no	—
1042	C₂³	—	79	4	no	—
1043	C₂³	—	79	32	no	—
1044	C₂³	—	79	8	no	—
1045	C₂³	—	79	2	no	—
1046	C₂³	—	79	4	no	—
1047	C₂³	—	79	8	no	—
1048	C₂³	—	632	16	no	—
1049	C₂³	—	632	64	no	—
1050	C₂³	—	158	16	no	—
1051	C₂³	—	158	32	no	—
1052	C₂³	—	158	16	no	—
1053	C₂³	C₂×D₄×D₇₉	1	8	yes	—
1054	C₂³	C₂⁴×D₇₉	1	8	yes	—
1055	C₂³	C₂⁴×D₇₉	1	4	yes	—
1056	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1057	Q₈	—	2	8	no	—
1058	Q₈	—	158	16	no	—
1059	Q₈	—	158	8	no	—
1060	D₄	—	2	32	no	—
1061	D₄	—	2	16	no	—
1062	D₄	—	2	8	no	—
1063	D₄	—	4	4	no	—
1064	D₄	—	4	8	no	—
1065	D₄	—	4	4	no	—
1066	D₄	—	316	4	no	—
1067	D₄	—	316	8	no	—
1068	D₄	—	316	4	no	—
1069	D₄	—	316	8	no	—
1070	D₄	—	316	16	no	—
1071	D₄	—	316	8	no	—
1072	D₄	—	79	32	no	—
1073	D₄	—	79	16	no	—
1074	D₄	—	158	16	no	—
1075	D₄	—	158	32	no	—
1076	D₄	—	158	16	no	—
1077	D₄	—	158	16	no	—
1078	D₄	—	158	32	no	—
1079	D₄	—	158	32	no	—
1080	D₄	—	158	16	no	—
1081	D₄	—	158	8	no	—
1082	D₄	C₂×D₄×D₇₉	1	16	yes	—
1083	C₂×C₄	—	2	16	no	—
1084	C₂×C₄	—	2	16	no	—
1085	C₂×C₄	—	4	1	no	—
1086	C₂×C₄	—	4	2	no	—
1087	C₂×C₄	—	4	4	no	—
1088	C₂×C₄	—	4	4	no	—
1089	C₂×C₄	—	4	1	no	—
1090	C₂×C₄	—	316	8	no	—
1091	C₂×C₄	—	316	8	no	—
1092	C₂×C₄	—	316	1	no	—
1093	C₂×C₄	—	316	2	no	—
1094	C₂×C₄	—	316	1	no	—
1095	C₂×C₄	—	316	8	no	—
1096	C₂×C₄	—	79	2	no	—
1097	C₂×C₄	—	79	4	no	—
1098	C₂×C₄	—	79	16	no	—
1099	C₂×C₄	—	79	2	no	—
1100	C₂×C₄	—	79	4	no	—
1101	C₂×C₄	—	79	2	no	—
1102	C₂×C₄	—	79	8	no	—
1103	C₂×C₄	—	158	16	no	—
1104	C₂×C₄	—	158	16	no	—
1105	C₂×C₄	—	158	32	no	—
1106	C₂×C₄	—	158	16	no	—
1107	C₂×C₄	—	158	16	no	—
1108	C₂×C₄	—	158	16	no	—
1109	C₂×C₄	C₂×D₄×D₇₉	1	4	yes	—
1110	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1111	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1112	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1113	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1114	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
1115	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1116	C₂²	—	2	1	no	—
1117	C₂²	—	2	4	no	—
1118	C₂²	—	2	1	no	—
1119	C₂²	—	2	4	no	—
1120	C₂²	—	2	8	no	—
1121	C₂²	—	2	8	no	—
1122	C₂²	—	2	8	no	—
1123	C₂²	—	4	8	no	—
1124	C₂²	—	8	16	no	—
1125	C₂²	—	316	4	no	—
1126	C₂²	—	316	32	no	—
1127	C₂²	—	316	8	no	—
1128	C₂²	—	316	32	no	—
1129	C₂²	—	79	4	no	—
1130	C₂²	—	79	8	no	—
1131	C₂²	—	632	16	no	—
1132	C₂²	—	632	32	no	—
1133	C₂²	—	158	8	no	—
1134	C₂²	—	158	8	no	—
1135	C₂²	—	158	8	no	—
1136	C₂²	—	158	4	no	—
1137	C₂²	—	158	2	no	—
1138	C₂²	—	158	4	no	—
1139	C₂²	—	158	2	no	—
1140	C₂²	C₂²×D₄×D₇₉	1	8	yes	—
1141	C₂²	C₂²×D₄×D₇₉	1	2	yes	—
1142	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1143	C₄	—	2	8	no	—
1144	C₄	—	2	1	no	—
1145	C₄	—	2	1	no	—
1146	C₄	—	2	4	no	—
1147	C₄	—	2	2	no	—
1148	C₄	—	79	4	no	—
1149	C₄	—	158	8	no	—
1150	C₄	—	158	2	no	—
1151	C₄	—	158	4	no	—
1152	C₄	—	158	2	no	—
1153	C₄	C₂²×D₄×D₇₉	1	4	yes	—
1154	C₂	—	2	2	no	—
1155	C₂	—	2	8	no	—
1156	C₂	—	4	8	no	—
1157	C₂	—	316	8	no	—
1158	C₂	—	158	4	no	—
1159	C₂	—	158	8	no	—
1160	C₂	C₂³×D₄×D₇₉	1	1	yes	characteristic
1161	C₂	#23778210	1	1	yes	characteristic
1162	C₂	#23778211	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₇₉×#3496	C₂
hypercenter	#3496	D₇₉
hypocenter	C₇₉	#62842
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #3496

Complements

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

N	H ≅ G/N	type
1. C₂×H(5,𝔽₂)×D₇₉	C₂	semidirect
2. #23777164	C₂	semidirect
3. #23777163	C₂	semidirect
4. #23777162	C₂	semidirect
5. #23777161	C₂	semidirect
6. #23777159	C₂	semidirect
7. #23777157	C₂	semidirect
8. #23777039	C₂	semidirect
9. #23777037	C₂	semidirect
10. #23777030	C₂	semidirect
11. #23777028	C₂	semidirect
12. #23776728	C₂	semidirect
13. #23776727	C₂	semidirect
14. C₂×#19099121	C₂	semidirect
15. #534×D₇₉	C₂	semidirect
16. C₂×#19099035	C₂	semidirect
17. C₇₉×#3496	C₂	semidirect
18. C₂×#14579207	C₂²	semidirect
19. C₂×#14579207	C₂²	semidirect
20. C₂×#14579206	C₂²	semidirect
21. C₂×#14579206	C₂²	semidirect
22. C₂×#14579206	C₂²	semidirect
24. C₂×#41×D₇₉	C₂²	semidirect
25. C₂×#41×D₇₉	C₂²	semidirect
27. C₂²×D₄×D₇₉	C₂²	semidirect
28. C₂²×D₄×D₇₉	C₂²	semidirect
29. #19099218	C₂²	semidirect
30. #19099217	C₂²	semidirect
31. #19099216	C₂²	semidirect
32. #19099215	C₂²	semidirect
33. #19099214	C₂²	semidirect
34. #19099213	C₂²	semidirect
35. #19099212	C₂²	semidirect
36. #19099211	C₂²	semidirect
37. #19099210	C₂²	semidirect
38. #19099209	C₂²	semidirect
39. #19099208	C₂²	semidirect
40. #19099207	C₂²	semidirect
41. #19099206	C₂²	semidirect
42. #19099205	C₂²	semidirect
43. #19099204	C₂²	semidirect
44. #19099203	C₂²	semidirect
45. #19099202	C₂²	semidirect
46. #19099201	C₂²	semidirect
47. #19099200	C₂²	semidirect
48. D₄×D₃₁₆	C₂²	semidirect
49. D₄×D₃₁₆	C₂²	semidirect
50. #19099198	C₂²	semidirect
51. #19099197	C₂²	semidirect
52. #19099197	C₂²	semidirect
53. D₄×C₂²⋊D₇₉	C₂²	semidirect
54. D₄×C₂²⋊D₇₉	C₂²	semidirect
55. #19099195	C₂²	semidirect
56. #19099144	C₂²	semidirect
57. #19099141	C₂²	semidirect
58. #19099140	C₂²	semidirect
59. #19099140	C₂²	semidirect
60. #19099138	C₂²	semidirect
61. #19099136	C₂²	semidirect
62. #19099133	C₂²	semidirect
63. #19099131	C₂²	semidirect
64. #19099129	C₂²	semidirect
65. #19099126	C₂²	semidirect
66. #19099125	C₂²	semidirect
67. #19099124	C₂²	semidirect
68. #19099123	C₂²	semidirect
69. #19099122	C₂²	semidirect
70. #19099121	C₂²	semidirect
71. #19099121	C₂²	semidirect
72. #19099121	C₂²	semidirect
73. #19099121	C₂²	semidirect
74. #19099121	C₂²	semidirect
75. #19099121	C₂²	semidirect
76. #19099121	C₂²	semidirect
77. #19099113	C₂²	semidirect
78. #19099109	C₂²	semidirect
79. #19099108	C₂²	semidirect
80. #19099076	C₂²	semidirect
81. #19099073	C₂²	semidirect
82. #19099072	C₂²	semidirect
83. #19099072	C₂²	semidirect
84. C₂×#14579146	C₂²	semidirect
85. C₂×#14579143	C₂²	semidirect
86. #123×D₇₉	C₂²	semidirect
87. C₂×#14579135	C₂²	semidirect
88. C₂×#14579133	C₂²	semidirect
89. #121×D₇₉	C₂²	semidirect
90. #121×D₇₉	C₂²	semidirect
91. C₂×#14579131	C₂²	semidirect
92. C₂×#14579129	C₂²	semidirect
93. #120×D₇₉	C₂²	semidirect
94. #19099035	C₂²	semidirect
95. #19099035	C₂²	semidirect
96. C₂×C₄×D₃₁₆	C₂²	semidirect
97. C₂×D₄×Dic₇₉	C₂²	semidirect
98. C₂×#14579123	C₂²	semidirect
99. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
100. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
101. C₂×#14579119	C₂²	semidirect
102. C₂×#14579118	C₂²	semidirect
103. C₂²×(C₂×D₇₉)⋊C₄	C₂²	semidirect
104. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
105. C₂×H(5,𝔽₂)×C₇₉	C₂²	semidirect
106. #547×C₇₉	C₂²	semidirect
107. #546×C₇₉	C₂²	semidirect
108. D₄²×C₇₉	C₂²	semidirect
109. #537×C₇₉	C₂²	semidirect
110. #534×C₇₉	C₂²	semidirect
111. #532×C₇₉	C₂²	semidirect
112. C₂×#121×C₇₉	C₂²	semidirect
113. C₂×C₄×D₄×C₇₉	C₂²	semidirect
115. C₂⁴×D₇₉	C₂³	semidirect
122. C₂×#11929625	C₂³	semidirect
124. C₂×#11929624	C₂³	semidirect
125. C₂×#11929624	C₂³	semidirect
126. C₂×#11929624	C₂³	semidirect
128. C₂×#11929623	C₂³	semidirect
129. C₂×#11929623	C₂³	semidirect
130. C₂×#11929623	C₂³	semidirect
133. C₂×Q₈×D₇₉	C₂³	semidirect
136. C₂²×D₃₁₆	C₂³	semidirect
137. C₂²×D₃₁₆	C₂³	semidirect
140. C₂²×C₂²⋊D₇₉	C₂³	semidirect
141. C₂²×C₂²⋊D₇₉	C₂³	semidirect
142. C₂²×C₂²⋊D₇₉	C₂³	semidirect
145. C₂×D₄×D₇₉	D₄	semidirect
149. C₂×D₄×D₇₉	C₂³	semidirect
150. C₂×D₄×D₇₉	C₂³	semidirect
151. C₂×D₄×D₇₉	C₂³	semidirect
152. C₂×D₄×D₇₉	C₂³	semidirect
153. C₂×D₄×D₇₉	C₂³	semidirect
154. C₂×D₄×D₇₉	C₂³	semidirect
155. C₂×D₄×D₇₉	C₂³	semidirect
156. C₂×D₄×D₇₉	C₂³	semidirect
157. C₂³×Dic₇₉	C₂³	semidirect
159. C₂²×C₄×D₇₉	C₂³	semidirect
160. C₂²×C₄×D₇₉	C₂³	semidirect
161. C₂²×C₄×D₇₉	C₂³	semidirect
162. C₂²×C₄×D₇₉	C₂³	semidirect
163. #14579161	C₂³	semidirect
164. #14579160	C₂³	semidirect
165. #14579159	C₂³	semidirect
166. #14579158	C₂³	semidirect
167. #14579157	C₂³	semidirect
168. #14579157	C₂³	semidirect
169. #14579150	C₂³	semidirect
170. #14579149	C₂³	semidirect
171. #14579148	C₂³	semidirect
172. #14579147	C₂³	semidirect
173. #14579146	C₂³	semidirect
174. #14579146	C₂³	semidirect
175. #14579146	C₂³	semidirect
176. #14579146	C₂³	semidirect
177. #14579146	C₂³	semidirect
178. #14579145	C₂³	semidirect
179. #14579144	C₂³	semidirect
180. #14579143	C₂³	semidirect
181. #14579143	C₂³	semidirect
182. #14579143	C₂³	semidirect
183. #14579143	C₂³	semidirect
184. #14579143	C₂³	semidirect
185. #14579142	C₂³	semidirect
186. #14579141	C₂³	semidirect
187. #14579140	C₂³	semidirect
188. #14579139	C₂³	semidirect
189. #14579139	C₂³	semidirect
190. #14579138	C₂³	semidirect
191. #14579138	C₂³	semidirect
192. #14579137	C₂³	semidirect
193. #14579136	C₂³	semidirect
194. #14579136	C₂³	semidirect
195. #14579136	C₂³	semidirect
196. #14579135	C₂³	semidirect
197. #14579135	C₂³	semidirect
198. #14579135	C₂³	semidirect
199. #14579135	C₂³	semidirect
200. #14579135	C₂³	semidirect
201. #14579135	C₂³	semidirect
202. #14579134	C₂³	semidirect
203. #14579134	C₂³	semidirect
204. #14579134	C₂³	semidirect
205. #14579134	C₂³	semidirect
206. #14579133	C₂³	semidirect
207. #14579133	C₂³	semidirect
208. #14579133	C₂³	semidirect
209. #14579133	C₂³	semidirect
210. #14579133	C₂³	semidirect
211. #14579133	C₂³	semidirect
212. #14579133	C₂³	semidirect
213. #14579132	C₂³	semidirect
214. #14579132	C₂³	semidirect
215. #14579132	C₂³	semidirect
216. #14579131	C₂³	semidirect
217. #14579131	C₂³	semidirect
218. #14579131	C₂³	semidirect
219. #14579131	C₂³	semidirect
220. #14579131	C₂³	semidirect
221. #14579131	C₂³	semidirect
222. #14579130	C₂³	semidirect
223. #14579129	C₂³	semidirect
224. #14579129	C₂³	semidirect
225. #14579129	C₂³	semidirect
226. #14579129	C₂³	semidirect
227. #14579129	C₂³	semidirect
228. #14579129	C₂³	semidirect
229. C₄×D₃₁₆	C₂³	semidirect
230. C₄×D₃₁₆	C₂³	semidirect
231. C₄×D₃₁₆	C₂³	semidirect
232. C₄×D₃₁₆	C₂³	semidirect
233. D₄×Dic₇₉	C₂³	semidirect
234. D₄×Dic₇₉	C₂³	semidirect
235. #14579123	C₂³	semidirect
236. #14579123	C₂³	semidirect
237. C₄×C₂²⋊D₇₉	C₂³	semidirect
238. C₄×C₂²⋊D₇₉	C₂³	semidirect
239. C₄×C₂²⋊D₇₉	C₂³	semidirect
240. C₄×C₂²⋊D₇₉	C₂³	semidirect
241. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
242. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
243. #14579119	C₂³	semidirect
244. #14579118	C₂³	semidirect
245. #14579118	C₂³	semidirect
246. C₂×C₄⋊Dic₇₉	C₂³	semidirect
247. C₂×C₄⋊Dic₇₉	C₂³	semidirect
248. C₂×Dic₇₉⋊C₄	C₂³	semidirect
249. C₂×Dic₇₉⋊C₄	C₂³	semidirect
250. C₂×Dic₇₉⋊C₄	C₂³	semidirect
251. C₄⋊C₄×D₇₉	C₂³	semidirect
252. C₄⋊C₄×D₇₉	C₂³	semidirect
253. C₂×C₂²⋊Dic₇₉	C₂³	semidirect
254. C₂×C₂²⋊Dic₇₉	C₂³	semidirect
258. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
259. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
260. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
261. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
262. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
263. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
264. C₂²⋊C₄×D₇₉	C₂³	semidirect
265. C₂²⋊C₄×D₇₉	C₂³	semidirect
266. C₂²⋊C₄×D₇₉	C₂³	semidirect
267. C₂×C₄×Dic₇₉	C₂³	semidirect
268. C₂×C₄×Dic₇₉	C₂³	semidirect
270. C₂×#41×C₇₉	C₂³	semidirect
271. C₂×#41×C₇₉	C₂³	semidirect
273. C₂²×D₄×C₇₉	C₂³	semidirect
274. C₂²×D₄×C₇₉	C₂³	semidirect
275. C₂²×D₄×C₇₉	C₂³	semidirect
276. C₂³×C₄×C₇₉	C₂³	semidirect
277. C₄⋊Q₈×C₇₉	C₂³	semidirect
278. #127×C₇₉	C₂³	semidirect
279. #124×C₇₉	C₂³	semidirect
280. #123×C₇₉	C₂³	semidirect
281. C₂²⋊Q₈×C₇₉	C₂³	semidirect
282. #121×C₇₉	C₂³	semidirect
283. #121×C₇₉	C₂³	semidirect
284. #121×C₇₉	C₂³	semidirect
285. #121×C₇₉	C₂³	semidirect
286. #121×C₇₉	C₂³	semidirect
287. #121×C₇₉	C₂³	semidirect
288. #120×C₇₉	C₂³	semidirect
289. C₄×D₄×C₇₉	C₂³	semidirect
290. C₄×D₄×C₇₉	C₂³	semidirect
291. C₄×D₄×C₇₉	C₂³	semidirect
292. C₄×D₄×C₇₉	C₂³	semidirect
293. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
294. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
295. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
296. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
297. C₂×C₄²×C₇₉	C₂³	semidirect
303. C₂³×D₇₉	C₂×D₄	semidirect
326. C₂×D₃₁₆	C₂×D₄	semidirect
338. C₂×C₂²⋊D₇₉	C₂×D₄	semidirect
358. D₄×D₇₉	C₂×D₄	semidirect
371. C₂×C₄×D₇₉	C₂×D₄	semidirect
416. C₂×D₄×C₇₉	C₂×D₄	semidirect
589. #3496	D₇₉	semidirect
599. C₇₉	#62842	semidirect
606. C₂×H(5,𝔽₂)	C₂×D₇₉	semidirect
620. #547	C₂×D₇₉	semidirect
632. #546	C₂×D₇₉	semidirect
641. D₄²	C₂×D₇₉	semidirect
646. #537	C₂×D₇₉	semidirect
664. #534	C₂×D₇₉	semidirect
668. #532	C₂×D₇₉	semidirect
680. C₂×#121	C₂×D₇₉	semidirect
691. C₂×C₄×D₄	C₂×D₇₉	semidirect
716. C₂×#41	C₂²×D₇₉	semidirect
717. C₂×#41	C₂²×D₇₉	semidirect
743. C₂²×D₄	C₂²×D₇₉	semidirect
744. C₂²×D₄	C₂²×D₇₉	semidirect
745. C₂²×D₄	C₂²×D₇₉	semidirect
752. C₂³×C₄	C₂²×D₇₉	semidirect
756. C₄⋊Q₈	C₂²×D₇₉	semidirect
760. #127	C₂²×D₇₉	semidirect
765. #124	C₂²×D₇₉	semidirect
779. #123	C₂²×D₇₉	semidirect
787. C₂²⋊Q₈	C₂²×D₇₉	semidirect
811. #121	C₂²×D₇₉	semidirect
812. #121	C₂²×D₇₉	semidirect
813. #121	C₂²×D₇₉	semidirect
814. #121	C₂²×D₇₉	semidirect
815. #121	C₂²×D₇₉	semidirect
816. #121	C₂²×D₇₉	semidirect
830. #120	C₂²×D₇₉	semidirect
845. C₄×D₄	C₂²×D₇₉	semidirect
846. C₄×D₄	C₂²×D₇₉	semidirect
847. C₄×D₄	C₂²×D₇₉	semidirect
848. C₄×D₄	C₂²×D₇₉	semidirect
859. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
860. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
875. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
876. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
879. C₂×C₄²	C₂²×D₇₉	semidirect
949. C₂×D₄	D₄×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×H(5,𝔽₂)×D₇₉	2
#23777164	2
#23777163	2
#23777162	2
#23777161	2
#23777159	2
#23777157	2
#23777039	2
#23777037	2
#23777030	2
#23777028	2
#23776728	2
#23776727	2
C₂×#19099121	2
#534×D₇₉	2
C₂×#19099035	2
C₇₉×#3496	2
#62842	79