Subgroups — #35197175

Order 20224.

7900 conjugacy classes of subgroups.

The subgroup lattice has 800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777916	C₂	1	8	yes	maximal, complemented
2	#23777805	C₂	1	2	yes	maximal, complemented
3	#23777800	C₂	1	2	yes	maximal, complemented
4	#23777774	C₂	1	8	yes	maximal, complemented
5	#23777639	C₂	1	4	yes	maximal, complemented
6	#23777434	C₂	1	8	yes	maximal, complemented
7	#23777311	C₂	1	4	yes	maximal, complemented
8	#23777276	C₂	1	4	yes	maximal, complemented
9	#23777254	C₂	1	4	yes	maximal, complemented
10	#23777178	C₂	1	4	yes	maximal, complemented
11	#23777162	C₂	1	4	yes	maximal, complemented
12	#23777061	C₂	1	8	yes	maximal, complemented
13	C₂×#19099113	C₂	1	2	yes	maximal, complemented
14	C₇₉×#3444	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#14579207	C₂²	1	8	yes	complemented
16	C₂²×#11929624	C₂²	1	4	yes	complemented
17	#19099311	C₂²	1	8	yes	complemented
18	#19099305	C₂²	1	8	yes	complemented
19	#19099303	C₂²	1	16	yes	complemented
20	#19099298	C₂²	1	16	yes	complemented
21	#19099286	C₂²	1	8	yes	complemented
22	#19099279	C₂²	1	4	yes	complemented
23	#19099278	C₂²	1	8	yes	complemented
24	#19099273	C₂²	1	8	yes	complemented
25	#19099266	C₂²	1	16	yes	complemented
26	#19099259	C₂²	1	16	yes	complemented
27	#19099235	C₂²	1	8	yes	complemented
28	#19099235	C₂²	1	8	yes	complemented
29	#19099234	C₂²	1	16	yes	complemented
30	#19099222	C₂²	1	16	yes	complemented
31	#19099218	C₂²	1	8	yes	complemented
32	#19099216	C₂²	1	8	yes	complemented
33	#19099209	C₂²	1	16	yes	complemented
34	#19099209	C₂²	1	16	yes	complemented
35	#19099206	C₂²	1	16	yes	complemented
36	#19099205	C₂²	1	32	yes	complemented
37	D₄×D₃₁₆	C₂²	1	8	yes	complemented
38	D₄×D₃₁₆	C₂²	1	16	yes	complemented
39	D₄×D₃₁₆	C₂²	1	16	yes	complemented
40	D₄×D₃₁₆	C₂²	1	8	yes	complemented
41	#19099198	C₂²	1	4	yes	complemented
42	#19099195	C₂²	1	16	yes	complemented
43	#19099184	C₂²	1	16	yes	complemented
44	#19099168	C₂²	1	8	yes	complemented
45	#19099168	C₂²	1	8	yes	complemented
46	#19099153	C₂²	1	16	yes	complemented
47	#19099152	C₂²	1	32	yes	complemented
48	#19099143	C₂²	1	16	yes	complemented
49	#19099141	C₂²	1	8	yes	complemented
50	#19099132	C₂²	1	8	yes	complemented
51	#19099132	C₂²	1	16	yes	complemented
52	#19099129	C₂²	1	16	yes	complemented
53	#19099127	C₂²	1	8	yes	complemented
54	#19099121	C₂²	1	16	yes	complemented
55	#19099120	C₂²	1	4	yes	complemented
56	#19099113	C₂²	1	4	yes	complemented
57	#19099113	C₂²	1	4	yes	complemented
58	#19099113	C₂²	1	8	yes	complemented
59	#19099113	C₂²	1	4	yes	complemented
60	#19099113	C₂²	1	4	yes	complemented
61	#19099113	C₂²	1	4	yes	complemented
62	#19099113	C₂²	1	4	yes	complemented
63	#19099113	C₂²	1	4	yes	complemented
64	#19099113	C₂²	1	4	yes	complemented
65	C₂×#14579161	C₂²	1	2	yes	complemented
66	C₂×#14579158	C₂²	1	2	yes	complemented
67	C₂×#14579158	C₂²	1	4	yes	complemented
68	C₂×#14579149	C₂²	1	4	yes	complemented
69	#19099076	C₂²	1	16	yes	complemented
70	C₂×#14579135	C₂²	1	4	yes	complemented
71	C₂×#14579135	C₂²	1	4	yes	complemented
72	#121×D₇₉	C₂²	1	16	yes	complemented
73	#19099043	C₂²	1	8	yes	complemented
74	#19099037	C₂²	1	8	yes	complemented
75	C₂×C₄×D₃₁₆	C₂²	1	4	yes	complemented
76	C₂×C₄×D₃₁₆	C₂²	1	4	yes	complemented
77	#533×C₇₉	C₂²	1	1	yes	characteristic, complemented
78	#533×C₇₉	C₂²	1	2	yes	complemented
79	#532×C₇₉	C₂²	1	1	yes	characteristic, complemented
80	#532×C₇₉	C₂²	1	2	yes	complemented
81	#529×C₇₉	C₂²	1	4	yes	complemented
82	#529×C₇₉	C₂²	1	4	yes	complemented
83	#529×C₇₉	C₂²	1	4	yes	complemented
84	#525×C₇₉	C₂²	1	4	yes	complemented
85	#525×C₇₉	C₂²	1	2	yes	complemented
86	C₄×#41×C₇₉	C₂²	1	4	yes	complemented
87	C₄×#41×C₇₉	C₂²	1	2	yes	complemented
88	C₂²×C₄²×C₇₉	C₂²	1	1	yes	characteristic, complemented
89	#14579207	—	4	32	no	—
90	C₂×#11929625	C₂³	1	16	yes	—
91	C₂×#11929624	—	4	16	no	—
92	C₂×#11929624	C₂³	1	8	yes	—
93	C₂×#11929624	C₂³	1	16	yes	—
94	C₂×#11929624	C₂³	1	8	yes	—
95	C₂×#11929624	C₂³	1	8	yes	—
96	C₂×#11929624	C₂³	1	8	yes	—
97	C₂²×Dic₁₅₈	C₂³	1	4	yes	—
98	C₂²×D₃₁₆	C₂³	1	4	yes	—
99	C₂²×D₃₁₆	C₂³	1	16	yes	—
100	C₂²×D₃₁₆	C₂³	1	4	yes	—
101	C₂²×D₃₁₆	C₂³	1	8	yes	—
102	C₂²×D₃₁₆	C₂³	1	4	yes	—
103	C₂²×C₂²⋊D₇₉	C₂³	1	8	yes	—
104	C₂×D₄×D₇₉	C₂³	1	32	yes	—
105	C₂×D₄×D₇₉	C₂³	1	16	yes	—
106	C₂²×C₄×D₇₉	C₂³	1	8	yes	—
107	#14579161	C₂³	1	4	yes	—
108	#14579161	C₂³	1	4	yes	—
109	#14579161	C₂³	1	4	yes	—
110	#14579161	C₂³	1	4	yes	—
111	#14579158	C₂³	1	8	yes	—
112	#14579158	C₂³	1	4	yes	—
113	#14579158	C₂³	1	4	yes	—
114	#14579158	C₂³	1	16	yes	—
115	#14579158	C₂³	1	4	yes	—
116	#14579158	C₂³	1	4	yes	—
117	#14579157	C₂³	1	16	yes	—
118	#14579156	C₂³	1	32	yes	—
119	#14579153	C₂³	1	8	yes	—
120	#14579150	C₂³	1	16	yes	—
121	#14579149	C₂³	1	8	yes	—
122	#14579149	C₂³	1	8	yes	—
123	#14579149	C₂³	1	8	yes	—
124	#14579149	C₂³	1	16	yes	—
125	#14579149	C₂³	1	8	yes	—
126	#14579147	C₂³	1	32	yes	—
127	#14579146	C₂³	1	32	yes	—
128	#14579146	C₂³	1	32	yes	—
129	#14579143	C₂³	1	32	yes	—
130	#14579140	C₂³	1	16	yes	—
131	#14579139	C₂³	1	32	yes	—
132	#14579137	C₂³	1	16	yes	—
133	#14579136	C₂³	1	32	yes	—
134	#14579136	C₂³	1	16	yes	—
135	#14579136	C₂³	1	32	yes	—
136	#14579136	C₂³	1	16	yes	—
137	#14579135	C₂³	1	16	yes	—
138	#14579135	C₂³	1	8	yes	—
139	#14579135	C₂³	1	8	yes	—
140	#14579135	C₂³	1	8	yes	—
141	#14579135	C₂³	1	16	yes	—
142	#14579135	C₂³	1	8	yes	—
143	#14579135	C₂³	1	8	yes	—
144	#14579135	C₂³	1	8	yes	—
145	#14579135	C₂³	1	8	yes	—
146	#14579135	C₂³	1	8	yes	—
147	#14579134	C₂³	1	32	yes	—
148	#14579134	C₂³	1	32	yes	—
149	#14579133	C₂³	1	32	yes	—
150	#14579132	C₂³	1	16	yes	—
151	#14579131	C₂³	1	32	yes	—
152	#14579131	C₂³	1	32	yes	—
153	#14579131	C₂³	1	32	yes	—
154	#14579129	C₂³	1	16	yes	—
155	#14579129	C₂³	1	16	yes	—
156	C₄×Dic₁₅₈	C₂³	1	16	yes	—
157	C₄×D₃₁₆	C₂³	1	8	yes	—
158	C₄×D₃₁₆	C₂³	1	8	yes	—
159	C₄×D₃₁₆	C₂³	1	16	yes	—
160	C₄×D₃₁₆	C₂³	1	16	yes	—
161	C₄×D₃₁₆	C₂³	1	8	yes	—
162	C₄×D₃₁₆	C₂³	1	8	yes	—
163	C₄×D₃₁₆	C₂³	1	8	yes	—
164	C₄×D₃₁₆	C₂³	1	8	yes	—
165	C₄×D₃₁₆	C₂³	1	8	yes	—
166	C₄×D₃₁₆	C₂³	1	8	yes	—
167	#14579123	C₂³	1	32	yes	—
168	(C₂²⋊D₇₉)⋊C₄	C₂³	1	32	yes	—
169	#14579120	C₂³	1	8	yes	—
170	#14579119	C₂³	1	16	yes	—
171	C₂×C₄⋊Dic₇₉	C₂³	1	4	yes	—
172	C₂×C₄⋊Dic₇₉	C₂³	1	4	yes	—
173	C₄⋊C₄×D₇₉	C₂³	1	16	yes	—
174	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	—
175	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	—
176	C₂²⋊C₄×D₇₉	C₂³	1	32	yes	—
177	C₂×#41×C₇₉	C₂³	1	4	yes	—
178	C₂×#41×C₇₉	C₂³	1	2	yes	—
179	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
180	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
181	C₄⋊Q₈×C₇₉	C₂³	1	2	yes	—
182	C₄⋊Q₈×C₇₉	C₂³	1	1	yes	characteristic
183	#127×C₇₉	C₂³	1	1	yes	characteristic
184	#126×C₇₉	C₂³	1	8	yes	—
185	#125×C₇₉	C₂³	1	4	yes	—
186	#125×C₇₉	C₂³	1	2	yes	—
187	#124×C₇₉	C₂³	1	4	yes	—
188	#124×C₇₉	C₂³	1	2	yes	—
189	#123×C₇₉	C₂³	1	8	yes	—
190	#123×C₇₉	C₂³	1	4	yes	—
191	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	—
192	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	—
193	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	—
194	#121×C₇₉	C₂³	1	4	yes	—
195	#121×C₇₉	C₂³	1	4	yes	—
196	#121×C₇₉	C₂³	1	4	yes	—
197	#120×C₇₉	C₂³	1	4	yes	—
198	C₄×Q₈×C₇₉	C₂³	1	4	yes	—
199	C₄×Q₈×C₇₉	C₂³	1	4	yes	—
200	C₄×Q₈×C₇₉	C₂³	1	4	yes	—
201	C₄×D₄×C₇₉	C₂³	1	4	yes	—
202	C₄×D₄×C₇₉	C₂³	1	8	yes	—
203	C₄×D₄×C₇₉	C₂³	1	8	yes	—
204	C₄×D₄×C₇₉	C₂³	1	4	yes	—
205	C₄×D₄×C₇₉	C₂³	1	4	yes	—
206	C₄×D₄×C₇₉	C₂³	1	8	yes	—
207	#117×C₇₉	C₂³	1	2	yes	—
208	#117×C₇₉	C₂³	1	4	yes	—
209	#117×C₇₉	C₂³	1	8	yes	—
210	#117×C₇₉	C₂³	1	4	yes	—
211	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
212	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
214	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
215	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
216	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
217	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₇₉	C₂³	1	4	yes	—
219	C₂³×D₇₉	C₂⁴	1	8	yes	—
220	C₂³×D₇₉	C₂⁴	1	16	yes	—
221	#11929625	—	4	32	no	—
222	#11929624	—	2	32	no	—
223	#11929624	—	4	16	no	—
224	#11929624	—	4	16	no	—
225	#11929624	—	4	32	no	—
226	#11929624	—	4	16	no	—
227	C₂×Dic₁₅₈	—	4	8	no	—
228	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
229	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
230	C₂×D₃₁₆	—	2	16	no	—
231	C₂×D₃₁₆	—	4	8	no	—
232	C₂×D₃₁₆	—	4	32	no	—
233	C₂×D₃₁₆	—	4	8	no	—
234	C₂×D₃₁₆	—	4	16	no	—
235	C₂×D₃₁₆	C₂⁴	1	8	yes	—
236	C₂×D₃₁₆	C₂⁴	1	8	yes	—
237	C₂×D₃₁₆	C₂⁴	1	8	yes	—
238	C₂×D₃₁₆	C₂⁴	1	8	yes	—
239	C₂×D₃₁₆	C₂⁴	1	8	yes	—
240	C₂×D₃₁₆	C₂⁴	1	32	yes	—
241	C₂×D₃₁₆	C₂⁴	1	16	yes	—
242	C₂×D₃₁₆	C₂⁴	1	8	yes	—
243	C₂×C₂²⋊D₇₉	—	4	16	no	—
244	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
245	C₂×C₂²⋊D₇₉	C₂⁴	1	16	yes	—
246	C₂×C₂²⋊D₇₉	C₂⁴	1	32	yes	—
247	D₄×D₇₉	—	4	64	no	—
248	D₄×D₇₉	—	4	32	no	—
249	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
250	C₂×C₄×D₇₉	—	4	16	no	—
251	C₂×C₄×D₇₉	C₂⁴	1	16	yes	—
252	C₂×C₄×D₇₉	C₂⁴	1	16	yes	—
253	C₂×C₄×D₇₉	C₂⁴	1	32	yes	—
254	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
255	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
256	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
257	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
258	Dic₇₉⋊C₄	C₂⁴	1	32	yes	—
259	C₂²⋊Dic₇₉	C₂⁴	1	16	yes	—
260	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
261	(C₂×D₇₉)⋊C₄	C₂⁴	1	32	yes	—
262	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
263	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
264	(C₂×D₇₉)⋊C₄	C₂⁴	1	16	yes	—
265	(C₂×D₇₉)⋊C₄	C₂⁴	1	32	yes	—
266	C₄×Dic₇₉	C₂⁴	1	16	yes	—
267	C₂⁴×C₇₉	C₂⁴	1	1	yes	characteristic
268	#41×C₇₉	—	2	16	no	—
269	#41×C₇₉	—	4	4	no	—
270	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
271	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
272	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
273	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
274	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
275	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
276	C₂²×C₄×C₇₉	—	2	8	no	—
277	C₂²×C₄×C₇₉	—	4	2	no	—
278	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
279	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
280	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
281	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
282	C₂²×C₄×C₇₉	C₂⁴	1	8	yes	—
283	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
284	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
285	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
286	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
287	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
288	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
289	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
290	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
291	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
292	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
293	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
294	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
295	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
296	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
297	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
298	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
299	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
300	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
301	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
302	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
303	C₄²×C₇₉	C₂⁴	1	2	yes	—
304	C₄²×C₇₉	C₂⁴	1	2	yes	—
305	C₄²×C₇₉	C₂⁴	1	2	yes	—
306	C₄²×C₇₉	C₂⁴	1	2	yes	—
307	C₄²×C₇₉	C₂⁴	1	2	yes	—
308	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
309	C₄²×C₇₉	C₂⁴	1	2	yes	—
310	C₄²×C₇₉	C₂⁴	1	1	yes	characteristic
311	C₄²×C₇₉	C₂⁴	1	4	yes	—
312	C₄²×C₇₉	C₂⁴	1	8	yes	—
313	C₂³×C₇₉	—	2	4	no	—
314	C₂³×C₇₉	—	4	1	no	—
315	C₂³×C₇₉	C₂⁵	1	4	yes	—
316	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
317	C₂³×C₇₉	C₂⁵	1	2	yes	—
318	C₂²×D₇₉	—	2	16	no	—
319	C₂²×D₇₉	—	4	8	no	—
320	C₂²×D₇₉	—	4	8	no	—
321	C₂²×D₇₉	—	4	32	no	—
322	C₂²×D₇₉	—	4	16	no	—
323	C₂²×D₇₉	C₂⁵	1	16	yes	—
324	Q₈×C₇₉	—	2	8	no	—
325	Q₈×C₇₉	—	4	2	no	—
326	D₄×C₇₉	—	2	16	no	—
327	D₄×C₇₉	—	2	8	no	—
328	D₄×C₇₉	—	4	2	no	—
329	D₄×C₇₉	—	4	4	no	—
330	C₂×C₄×C₇₉	—	2	4	no	—
331	C₂×C₄×C₇₉	—	2	4	no	—
332	C₂×C₄×C₇₉	—	2	4	no	—
333	C₂×C₄×C₇₉	—	2	16	no	—
334	C₂×C₄×C₇₉	—	2	4	no	—
335	C₂×C₄×C₇₉	—	2	4	no	—
336	C₂×C₄×C₇₉	—	2	4	no	—
337	C₂×C₄×C₇₉	—	2	8	no	—
338	C₂×C₄×C₇₉	—	2	2	no	—
339	C₂×C₄×C₇₉	—	4	2	no	—
340	C₂×C₄×C₇₉	—	4	1	no	—
341	C₂×C₄×C₇₉	H(5,𝔽₂)	1	8	yes	complemented
342	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
343	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
344	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
345	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
346	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
347	C₂×C₄×C₇₉	C₂⁵	1	8	yes	—
348	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
349	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
350	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
351	C₂²⋊D₇₉	—	2	32	no	—
352	C₂²⋊D₇₉	—	4	32	no	—
353	C₂²⋊D₇₉	—	4	16	no	—
354	C₂×Dic₇₉	—	4	8	no	—
355	C₂×Dic₇₉	C₂⁵	1	16	yes	—
356	D₃₁₆	—	2	16	no	—
357	D₃₁₆	—	2	16	no	—
358	D₃₁₆	—	2	16	no	—
359	D₃₁₆	—	2	16	no	—
360	D₃₁₆	—	4	32	no	—
361	D₃₁₆	—	4	8	no	—
362	D₃₁₆	—	4	16	no	—
363	D₃₁₆	—	4	8	no	—
364	C₄×D₇₉	—	2	32	no	—
365	C₄×D₇₉	—	4	16	no	—
366	C₄×D₇₉	—	4	32	no	—
367	Dic₁₅₈	—	2	16	no	—
368	Dic₁₅₈	—	4	8	no	—
369	C₂²×C₇₉	—	2	2	no	—
370	C₂²×C₇₉	—	2	2	no	—
371	C₂²×C₇₉	—	2	2	no	—
372	C₂²×C₇₉	—	2	8	no	—
373	C₂²×C₇₉	—	2	1	no	—
374	C₂²×C₇₉	—	2	4	no	—
375	C₂²×C₇₉	—	4	4	no	—
376	C₂²×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
377	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
378	C₂×D₇₉	—	2	16	no	—
379	C₂×D₇₉	—	2	16	no	—
380	C₂×D₇₉	—	2	16	no	—
381	C₂×D₇₉	—	8	16	no	—
382	C₂×D₇₉	—	16	16	no	—
383	C₄×C₇₉	—	2	2	no	—
384	C₄×C₇₉	—	2	2	no	—
385	C₄×C₇₉	—	2	8	no	—
386	C₄×C₇₉	—	2	1	no	—
387	C₄×C₇₉	—	2	2	no	—
388	C₄×C₇₉	—	2	4	no	—
389	C₄×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
390	C₄×C₇₉	C₂×H(5,𝔽₂)	1	4	yes	—
391	C₄×C₇₉	#585	1	2	yes	—
392	Dic₇₉	—	2	16	no	—
393	#62834	—	79	1	no	maximal, Sylow
394	C₂×C₇₉	—	2	4	no	—
395	C₂×C₇₉	—	4	4	no	—
396	C₂×C₇₉	—	4	1	no	—
397	C₂×C₇₉	C₂²×H(5,𝔽₂)	1	2	yes	—
398	C₂×C₇₉	C₂×#585	1	1	yes	characteristic
399	D₇₉	—	4	16	no	—
400	#3558	—	79	8	no	—
401	#3549	—	79	2	no	—
402	#3548	—	79	2	no	—
403	#3546	—	79	8	no	—
404	#3537	—	79	4	no	—
405	#3519	—	79	8	no	—
406	#3511	—	79	4	no	—
407	#3508	—	79	4	no	—
408	#3506	—	79	4	no	—
409	#3498	—	79	4	no	—
410	#3496	—	79	4	no	—
411	#3488	—	79	8	no	—
412	#3444	D₇₉	1	1	yes	characteristic, complemented
413	C₂×#532	—	79	2	no	—
414	C₇₉	#62834	1	1	yes	characteristic, complemented, Sylow
415	C₂×H(5,𝔽₂)	—	79	8	no	—
416	C₂²×#41	—	79	4	no	—
417	#562	—	79	8	no	—
418	H(3,𝔽₄)	—	79	8	no	—
419	#560	—	79	16	no	—
420	#559	—	79	16	no	—
421	#556	—	79	8	no	—
422	#555	—	79	4	no	—
423	#555	—	79	8	no	—
424	#554	—	79	8	no	—
425	#553	—	79	16	no	—
426	#553	—	79	16	no	—
427	#550	—	79	8	no	—
428	#550	—	79	8	no	—
429	#550	—	79	16	no	—
430	#548	—	79	16	no	—
431	#547	—	79	8	no	—
432	#547	—	79	8	no	—
433	#546	—	79	16	no	—
434	#546	—	79	32	no	—
435	#546	—	79	16	no	—
436	#546	—	79	16	no	—
437	D₄²	—	79	4	no	—
438	D₄²	—	79	16	no	—
439	D₄²	—	79	16	no	—
440	D₄²	—	79	8	no	—
441	D₄²	—	79	16	no	—
442	D₄²	—	79	8	no	—
443	#542	—	79	16	no	—
444	#540	—	79	8	no	—
445	#540	—	79	8	no	—
446	#538	—	79	32	no	—
447	#538	—	79	16	no	—
448	#537	—	79	8	no	—
449	#537	—	79	16	no	—
450	#535	—	79	8	no	—
451	#535	—	79	16	no	—
452	#535	—	79	8	no	—
453	#535	—	79	16	no	—
454	#534	—	79	16	no	—
455	#533	—	79	4	no	—
456	#533	C₂×D₇₉	1	2	yes	complemented
457	#533	C₂×D₇₉	1	1	yes	characteristic, complemented
458	#532	—	79	4	no	—
459	#532	—	79	4	no	—
460	#532	—	79	4	no	—
461	#532	—	79	4	no	—
462	#532	—	79	4	no	—
463	#532	—	79	4	no	—
464	#532	—	79	4	no	—
465	#532	—	79	4	no	—
466	#532	—	79	8	no	—
467	#532	C₂×D₇₉	1	2	yes	complemented
468	#532	C₂×D₇₉	1	1	yes	characteristic, complemented
469	C₂×C₄⋊Q₈	—	79	2	no	—
470	C₂×#127	—	79	2	no	—
471	C₂×#127	—	79	4	no	—
472	#529	C₂×D₇₉	1	4	yes	complemented
473	#529	C₂×D₇₉	1	4	yes	complemented
474	#529	C₂×D₇₉	1	4	yes	complemented
475	C₂×#124	—	79	4	no	—
476	#525	—	79	16	no	—
477	#525	C₂×D₇₉	1	4	yes	complemented
478	#525	C₂×D₇₉	1	2	yes	complemented
479	C₂×#121	—	79	4	no	—
480	C₂×#121	—	79	4	no	—
481	C₂×#121	—	79	16	no	—
482	#520	—	79	8	no	—
483	#518	—	79	8	no	—
484	C₄×#41	C₂×D₇₉	1	4	yes	complemented
485	C₄×#41	C₂×D₇₉	1	2	yes	complemented
486	C₂×C₄×D₄	—	79	4	no	—
487	C₂×C₄×D₄	—	79	4	no	—
488	C₂²×C₄²	C₂×D₇₉	1	1	yes	characteristic, complemented
489	H(5,𝔽₂)	—	316	32	no	—
490	C₂×#41	—	316	16	no	—
491	C₂×#41	—	79	16	no	—
492	C₂×#41	—	79	8	no	—
493	C₂×#41	—	79	8	no	—
494	C₂×#41	—	79	8	no	—
495	C₂×#41	—	79	16	no	—
496	C₂×#41	—	79	8	no	—
497	C₂×#41	C₂²×D₇₉	1	4	yes	—
498	C₂×#41	C₂²×D₇₉	1	2	yes	—
499	C₂²×Q₈	—	79	4	no	—
500	C₂²×D₄	—	79	8	no	—
501	C₂²×D₄	—	79	32	no	—
502	C₂²×D₄	—	79	16	no	—
503	C₂²×D₄	—	79	4	no	—
504	C₂²×D₄	—	79	8	no	—
505	C₂²×D₄	—	79	4	no	—
506	C₂²×D₄	—	79	16	no	—
507	C₂²×D₄	—	79	4	no	—
508	C₂³×C₄	—	79	8	no	—
509	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
510	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
511	C₄⋊Q₈	—	79	4	no	—
512	C₄⋊Q₈	—	79	4	no	—
513	C₄⋊Q₈	—	79	4	no	—
514	C₄⋊Q₈	—	79	4	no	—
515	C₄⋊Q₈	C₂²×D₇₉	1	2	yes	—
516	C₄⋊Q₈	C₂²×D₇₉	1	1	yes	characteristic
517	#127	—	79	16	no	—
518	#127	—	79	4	no	—
519	#127	—	79	4	no	—
520	#127	—	79	4	no	—
521	#127	—	79	4	no	—
522	#127	—	79	16	no	—
523	#127	—	79	8	no	—
524	#127	C₂²×D₇₉	1	1	yes	characteristic
525	#126	—	79	32	no	—
526	#126	C₂²×D₇₉	1	8	yes	—
527	#125	—	79	8	no	—
528	#125	C₂²×D₇₉	1	4	yes	—
529	#125	C₂²×D₇₉	1	2	yes	—
530	#124	—	79	16	no	—
531	#124	—	79	32	no	—
532	#124	—	79	8	no	—
533	#124	—	79	8	no	—
534	#124	—	79	8	no	—
535	#124	—	79	8	no	—
536	#124	—	79	16	no	—
537	#124	C₂²×D₇₉	1	4	yes	—
538	#124	C₂²×D₇₉	1	2	yes	—
539	#123	—	79	32	no	—
540	#123	—	79	32	no	—
541	#123	—	79	32	no	—
542	#123	C₂²×D₇₉	1	8	yes	—
543	#123	C₂²×D₇₉	1	4	yes	—
544	C₂²⋊Q₈	—	79	16	no	—
545	C₂²⋊Q₈	—	79	16	no	—
546	C₂²⋊Q₈	—	79	32	no	—
547	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	—
548	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	—
549	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	—
550	#121	—	79	32	no	—
551	#121	—	79	16	no	—
552	#121	—	79	8	no	—
553	#121	—	79	8	no	—
554	#121	—	79	8	no	—
555	#121	—	79	8	no	—
556	#121	—	79	8	no	—
557	#121	—	79	8	no	—
558	#121	—	79	8	no	—
559	#121	—	79	8	no	—
560	#121	—	79	16	no	—
561	#121	—	79	16	no	—
562	#121	—	79	16	no	—
563	#121	—	79	16	no	—
564	#121	—	79	32	no	—
565	#121	—	79	32	no	—
566	#121	—	79	32	no	—
567	#121	—	79	32	no	—
568	#121	C₂²×D₇₉	1	4	yes	—
569	#121	C₂²×D₇₉	1	4	yes	—
570	#121	C₂²×D₇₉	1	4	yes	—
571	#120	—	79	16	no	—
572	#120	—	79	16	no	—
573	#120	—	79	32	no	—
574	#120	—	79	32	no	—
575	#120	—	79	32	no	—
576	#120	C₂²×D₇₉	1	4	yes	—
577	C₄×Q₈	—	79	16	no	—
578	C₄×Q₈	C₂²×D₇₉	1	4	yes	—
579	C₄×Q₈	C₂²×D₇₉	1	4	yes	—
580	C₄×Q₈	C₂²×D₇₉	1	4	yes	—
581	C₄×D₄	—	79	32	no	—
582	C₄×D₄	—	79	32	no	—
583	C₄×D₄	—	79	8	no	—
584	C₄×D₄	—	79	8	no	—
585	C₄×D₄	—	79	8	no	—
586	C₄×D₄	—	79	8	no	—
587	C₄×D₄	—	79	8	no	—
588	C₄×D₄	—	79	8	no	—
589	C₄×D₄	—	79	8	no	—
590	C₄×D₄	—	79	8	no	—
591	C₄×D₄	—	79	16	no	—
592	C₄×D₄	—	79	16	no	—
593	C₄×D₄	C₂²×D₇₉	1	8	yes	—
594	C₄×D₄	C₂²×D₇₉	1	8	yes	—
595	C₄×D₄	C₂²×D₇₉	1	8	yes	—
596	C₄×D₄	C₂²×D₇₉	1	4	yes	—
597	C₄×D₄	C₂²×D₇₉	1	4	yes	—
598	C₄×D₄	C₂²×D₇₉	1	4	yes	—
599	#117	—	79	8	no	—
600	#117	—	79	16	no	—
601	#117	C₂²×D₇₉	1	4	yes	—
602	#117	C₂²×D₇₉	1	4	yes	—
603	#117	C₂²×D₇₉	1	2	yes	—
604	#117	C₂²×D₇₉	1	8	yes	—
605	C₂×C₄⋊C₄	—	79	4	no	—
606	C₂×C₄⋊C₄	—	79	4	no	—
607	C₂×C₄⋊C₄	—	79	16	no	—
608	C₂×C₂²⋊C₄	—	79	8	no	—
609	C₂×C₂²⋊C₄	—	79	8	no	—
610	C₂×C₂²⋊C₄	—	79	32	no	—
611	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
612	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
613	C₂×C₄²	C₂²×D₇₉	1	4	yes	—
614	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
615	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
616	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
617	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
618	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
619	C₂⁴	—	79	16	no	—
620	C₂⁴	—	79	8	no	—
621	C₂⁴	C₂³×D₇₉	1	1	yes	characteristic
622	#41	—	2	16	no	—
623	#41	—	4	4	no	—
624	#41	—	316	16	no	—
625	#41	—	316	32	no	—
626	#41	—	316	16	no	—
627	#41	—	316	16	no	—
628	#41	—	316	32	no	—
629	#41	—	158	32	no	—
630	C₂×Q₈	—	316	8	no	—
631	C₂×Q₈	—	79	8	no	—
632	C₂×Q₈	—	79	8	no	—
633	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
634	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
635	C₂×D₄	—	316	8	no	—
636	C₂×D₄	—	316	16	no	—
637	C₂×D₄	—	316	8	no	—
638	C₂×D₄	—	316	32	no	—
639	C₂×D₄	—	316	64	no	—
640	C₂×D₄	—	316	16	no	—
641	C₂×D₄	—	316	32	no	—
642	C₂×D₄	—	79	32	no	—
643	C₂×D₄	—	79	16	no	—
644	C₂×D₄	—	79	16	no	—
645	C₂×D₄	—	79	8	no	—
646	C₂×D₄	—	79	16	no	—
647	C₂×D₄	—	79	8	no	—
648	C₂×D₄	—	79	32	no	—
649	C₂×D₄	—	79	8	no	—
650	C₂×D₄	—	79	8	no	—
651	C₂×D₄	—	79	8	no	—
652	C₂×D₄	—	79	8	no	—
653	C₂×D₄	—	158	16	no	—
654	C₂×D₄	C₂³×D₇₉	1	8	yes	—
655	C₂×D₄	C₂³×D₇₉	1	4	yes	—
656	C₂×D₄	C₂³×D₇₉	1	2	yes	—
657	C₂×D₄	C₂³×D₇₉	1	4	yes	—
658	C₂²×C₄	—	2	8	no	—
659	C₂²×C₄	—	4	2	no	—
660	C₂²×C₄	—	316	16	no	—
661	C₂²×C₄	—	79	8	no	—
662	C₂²×C₄	—	79	16	no	—
663	C₂²×C₄	—	79	32	no	—
664	C₂²×C₄	—	79	16	no	—
665	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
666	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
667	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
668	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
669	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
670	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
671	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
672	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
673	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
674	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
675	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
676	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
677	C₄⋊C₄	—	79	32	no	—
678	C₄⋊C₄	—	79	8	no	—
679	C₄⋊C₄	—	79	8	no	—
680	C₄⋊C₄	—	79	8	no	—
681	C₄⋊C₄	—	79	8	no	—
682	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
683	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
684	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
685	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
686	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
687	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
688	C₂²⋊C₄	—	79	16	no	—
689	C₂²⋊C₄	—	79	16	no	—
690	C₂²⋊C₄	—	79	32	no	—
691	C₂²⋊C₄	—	79	16	no	—
692	C₂²⋊C₄	—	79	16	no	—
693	C₂²⋊C₄	—	79	16	no	—
694	C₂²⋊C₄	—	79	32	no	—
695	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
696	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
697	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
698	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
699	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
700	C₄²	—	79	16	no	—
701	C₄²	C₂³×D₇₉	1	1	yes	characteristic
702	C₄²	C₂³×D₇₉	1	1	yes	characteristic
703	C₄²	C₂³×D₇₉	1	2	yes	—
704	C₄²	C₂³×D₇₉	1	2	yes	—
705	C₄²	C₂³×D₇₉	1	1	yes	characteristic
706	C₄²	C₂³×D₇₉	1	2	yes	—
707	C₄²	C₂³×D₇₉	1	2	yes	—
708	C₄²	C₂³×D₇₉	1	2	yes	—
709	C₄²	C₂³×D₇₉	1	2	yes	—
710	C₄²	C₂³×D₇₉	1	1	yes	characteristic
711	C₄²	C₂³×D₇₉	1	4	yes	—
712	C₄²	C₂³×D₇₉	1	8	yes	—
713	C₂³	—	2	4	no	—
714	C₂³	—	4	1	no	—
715	C₂³	—	316	8	no	—
716	C₂³	—	316	8	no	—
717	C₂³	—	316	32	no	—
718	C₂³	—	316	16	no	—
719	C₂³	—	79	16	no	—
720	C₂³	—	158	16	no	—
721	C₂³	C₂⁴×D₇₉	1	4	yes	—
722	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
723	C₂³	C₂⁴×D₇₉	1	2	yes	—
724	Q₈	—	2	8	no	—
725	Q₈	—	4	2	no	—
726	Q₈	—	316	8	no	—
727	Q₈	—	158	16	no	—
728	D₄	—	2	16	no	—
729	D₄	—	2	8	no	—
730	D₄	—	4	2	no	—
731	D₄	—	4	4	no	—
732	D₄	—	316	32	no	—
733	D₄	—	316	8	no	—
734	D₄	—	316	8	no	—
735	D₄	—	316	16	no	—
736	D₄	—	316	32	no	—
737	D₄	—	316	16	no	—
738	D₄	—	158	32	no	—
739	D₄	—	158	16	no	—
740	D₄	—	158	16	no	—
741	D₄	—	158	16	no	—
742	D₄	—	158	16	no	—
743	C₂×C₄	—	2	4	no	—
744	C₂×C₄	—	2	4	no	—
745	C₂×C₄	—	2	4	no	—
746	C₂×C₄	—	2	4	no	—
747	C₂×C₄	—	2	4	no	—
748	C₂×C₄	—	2	16	no	—
749	C₂×C₄	—	2	4	no	—
750	C₂×C₄	—	2	2	no	—
751	C₂×C₄	—	2	8	no	—
752	C₂×C₄	—	4	2	no	—
753	C₂×C₄	—	4	1	no	—
754	C₂×C₄	—	316	16	no	—
755	C₂×C₄	—	316	32	no	—
756	C₂×C₄	—	316	8	no	—
757	C₂×C₄	—	79	16	no	—
758	C₂×C₄	—	158	32	no	—
759	C₂×C₄	#14579207	1	8	yes	complemented
760	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
761	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
762	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
763	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
764	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
765	C₂×C₄	C₂⁴×D₇₉	1	8	yes	—
766	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
767	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
768	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
769	C₂²	—	2	2	no	—
770	C₂²	—	2	2	no	—
771	C₂²	—	2	2	no	—
772	C₂²	—	2	8	no	—
773	C₂²	—	2	1	no	—
774	C₂²	—	2	4	no	—
775	C₂²	—	4	4	no	—
776	C₂²	—	632	16	no	—
777	C₂²	—	158	16	no	—
778	C₂²	—	158	16	no	—
779	C₂²	—	158	16	no	—
780	C₂²	—	1264	16	no	—
781	C₂²	C₂×#14579207	1	4	yes	—
782	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
783	C₄	—	2	2	no	—
784	C₄	—	2	2	no	—
785	C₄	—	2	8	no	—
786	C₄	—	2	1	no	—
787	C₄	—	2	2	no	—
788	C₄	—	2	4	no	—
789	C₄	—	158	16	no	—
790	C₄	C₂×#14579207	1	4	yes	—
791	C₄	C₂×#14579207	1	4	yes	—
792	C₄	#19099399	1	2	yes	—
793	C₂	—	2	4	no	—
794	C₂	—	4	1	no	—
795	C₂	—	4	4	no	—
796	C₂	—	316	16	no	—
797	C₂	C₂²×#14579207	1	2	yes	—
798	C₂	C₂×#19099399	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₇₉×#3444	C₂
hypercenter	#3444	D₇₉
hypocenter	C₇₉	#62834
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #3444

Complements

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

N	H ≅ G/N	type
1. #23777916	C₂	semidirect
2. #23777805	C₂	semidirect
3. #23777800	C₂	semidirect
4. #23777774	C₂	semidirect
5. #23777639	C₂	semidirect
6. #23777434	C₂	semidirect
7. #23777311	C₂	semidirect
8. #23777276	C₂	semidirect
9. #23777254	C₂	semidirect
10. #23777178	C₂	semidirect
11. #23777162	C₂	semidirect
12. #23777061	C₂	semidirect
13. C₂×#19099113	C₂	semidirect
14. C₇₉×#3444	C₂	semidirect
15. C₂×#14579207	C₂²	semidirect
16. C₂²×#11929624	C₂²	semidirect
17. #19099311	C₂²	semidirect
18. #19099305	C₂²	semidirect
19. #19099303	C₂²	semidirect
20. #19099298	C₂²	semidirect
21. #19099286	C₂²	semidirect
22. #19099279	C₂²	semidirect
23. #19099278	C₂²	semidirect
24. #19099273	C₂²	semidirect
25. #19099266	C₂²	semidirect
26. #19099259	C₂²	semidirect
27. #19099235	C₂²	semidirect
28. #19099235	C₂²	semidirect
29. #19099234	C₂²	semidirect
30. #19099222	C₂²	semidirect
31. #19099218	C₂²	semidirect
32. #19099216	C₂²	semidirect
33. #19099209	C₂²	semidirect
34. #19099209	C₂²	semidirect
35. #19099206	C₂²	semidirect
36. #19099205	C₂²	semidirect
37. D₄×D₃₁₆	C₂²	semidirect
38. D₄×D₃₁₆	C₂²	semidirect
39. D₄×D₃₁₆	C₂²	semidirect
40. D₄×D₃₁₆	C₂²	semidirect
41. #19099198	C₂²	semidirect
42. #19099195	C₂²	semidirect
43. #19099184	C₂²	semidirect
44. #19099168	C₂²	semidirect
45. #19099168	C₂²	semidirect
46. #19099153	C₂²	semidirect
47. #19099152	C₂²	semidirect
48. #19099143	C₂²	semidirect
49. #19099141	C₂²	semidirect
50. #19099132	C₂²	semidirect
51. #19099132	C₂²	semidirect
52. #19099129	C₂²	semidirect
53. #19099127	C₂²	semidirect
54. #19099121	C₂²	semidirect
55. #19099120	C₂²	semidirect
56. #19099113	C₂²	semidirect
57. #19099113	C₂²	semidirect
58. #19099113	C₂²	semidirect
59. #19099113	C₂²	semidirect
60. #19099113	C₂²	semidirect
61. #19099113	C₂²	semidirect
62. #19099113	C₂²	semidirect
63. #19099113	C₂²	semidirect
64. #19099113	C₂²	semidirect
65. C₂×#14579161	C₂²	semidirect
66. C₂×#14579158	C₂²	semidirect
67. C₂×#14579158	C₂²	semidirect
68. C₂×#14579149	C₂²	semidirect
69. #19099076	C₂²	semidirect
70. C₂×#14579135	C₂²	semidirect
71. C₂×#14579135	C₂²	semidirect
72. #121×D₇₉	C₂²	semidirect
73. #19099043	C₂²	semidirect
74. #19099037	C₂²	semidirect
75. C₂×C₄×D₃₁₆	C₂²	semidirect
76. C₂×C₄×D₃₁₆	C₂²	semidirect
77. #533×C₇₉	C₂²	semidirect
78. #533×C₇₉	C₂²	semidirect
79. #532×C₇₉	C₂²	semidirect
80. #532×C₇₉	C₂²	semidirect
81. #529×C₇₉	C₂²	semidirect
82. #529×C₇₉	C₂²	semidirect
83. #529×C₇₉	C₂²	semidirect
84. #525×C₇₉	C₂²	semidirect
85. #525×C₇₉	C₂²	semidirect
86. C₄×#41×C₇₉	C₂²	semidirect
87. C₄×#41×C₇₉	C₂²	semidirect
88. C₂²×C₄²×C₇₉	C₂²	semidirect
341. C₂×C₄×C₇₉	H(5,𝔽₂)	semidirect
412. #3444	D₇₉	semidirect
414. C₇₉	#62834	semidirect
456. #533	C₂×D₇₉	semidirect
457. #533	C₂×D₇₉	semidirect
467. #532	C₂×D₇₉	semidirect
468. #532	C₂×D₇₉	semidirect
472. #529	C₂×D₇₉	semidirect
473. #529	C₂×D₇₉	semidirect
474. #529	C₂×D₇₉	semidirect
477. #525	C₂×D₇₉	semidirect
478. #525	C₂×D₇₉	semidirect
484. C₄×#41	C₂×D₇₉	semidirect
485. C₄×#41	C₂×D₇₉	semidirect
488. C₂²×C₄²	C₂×D₇₉	semidirect
759. C₂×C₄	#14579207	semidirect

Maximal subgroups

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

subgroup	index
#23777916	2
#23777805	2
#23777800	2
#23777774	2
#23777639	2
#23777434	2
#23777311	2
#23777276	2
#23777254	2
#23777178	2
#23777162	2
#23777061	2
C₂×#19099113	2
C₇₉×#3444	2
#62834	79