Subgroups — #35197401

Order 20224.

7370 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777292	C₂	1	4	yes	maximal, complemented
2	#23777289	C₂	1	4	yes	maximal, complemented
3	#23777272	C₂	1	4	yes	maximal, complemented
4	#23777269	C₂	1	4	yes	maximal, complemented
5	#23777247	C₂	1	4	yes	maximal, complemented
6	#23777243	C₂	1	4	yes	maximal, complemented
7	#23777133	C₂	1	4	yes	maximal, complemented
8	#23777130	C₂	1	4	yes	maximal, complemented
9	#23777127	C₂	1	4	yes	maximal, complemented
10	#23777123	C₂	1	4	yes	maximal, complemented
11	#23777086	C₂	1	4	yes	maximal, complemented
12	#23777083	C₂	1	4	yes	maximal, complemented
13	#23776823	C₂	1	1	yes	maximal, characteristic, complemented
14	#23776822	C₂	1	1	yes	maximal, characteristic, complemented
15	#23776817	C₂	1	1	yes	maximal, characteristic, complemented
16	#23776816	C₂	1	2	yes	maximal, complemented
17	#23776813	C₂	1	2	yes	maximal, complemented
18	#23776804	C₂	1	1	yes	maximal, characteristic, complemented
19	#23776728	C₂	1	1	yes	maximal, characteristic, complemented
20	#535×D₇₉	C₂	1	2	yes	maximal, complemented
21	#23776599	C₂	1	2	yes	maximal, complemented
22	C₂×#19099035	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₉×#3460	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₇₉	C₂²	1	2	yes	—
25	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
26	#19099297	C₂²	1	8	yes	complemented
27	#19099297	C₂²	1	8	yes	complemented
28	#19099296	C₂²	1	8	yes	complemented
29	#19099295	C₂²	1	8	yes	complemented
30	#19099284	C₂²	1	4	yes	complemented
31	#19099281	C₂²	1	4	yes	complemented
32	#19099280	C₂²	1	8	yes	complemented
33	#19099277	C₂²	1	4	yes	complemented
34	#19099276	C₂²	1	4	yes	complemented
35	#19099275	C₂²	1	8	yes	complemented
36	#19099264	C₂²	1	8	yes	complemented
37	#19099262	C₂²	1	8	yes	complemented
38	#19099258	C₂²	1	8	yes	complemented
39	#19099256	C₂²	1	8	yes	complemented
40	#19099243	C₂²	1	8	yes	complemented
41	#19099242	C₂²	1	8	yes	complemented
42	#19099241	C₂²	1	8	yes	complemented
43	#19099240	C₂²	1	8	yes	complemented
44	#19099238	C₂²	1	8	yes	complemented
45	#19099238	C₂²	1	8	yes	complemented
46	#19099237	C₂²	1	8	yes	complemented
47	#19099236	C₂²	1	8	yes	complemented
48	#19099232	C₂²	1	4	yes	complemented
49	#19099231	C₂²	1	8	yes	complemented
50	#19099231	C₂²	1	4	yes	complemented
51	#19099215	C₂²	1	4	yes	complemented
52	#19099212	C₂²	1	4	yes	complemented
53	#19099211	C₂²	1	8	yes	complemented
54	#19099210	C₂²	1	8	yes	complemented
55	#19099208	C₂²	1	8	yes	complemented
56	#19099206	C₂²	1	8	yes	complemented
57	#19099205	C₂²	1	8	yes	complemented
58	#19099205	C₂²	1	8	yes	complemented
59	#19099202	C₂²	1	8	yes	complemented
60	#19099202	C₂²	1	8	yes	complemented
61	#19099201	C₂²	1	8	yes	complemented
62	#19099194	C₂²	1	1	yes	characteristic, complemented
63	#19099193	C₂²	1	4	yes	complemented
64	#19099191	C₂²	1	2	yes	complemented
65	#19099190	C₂²	1	4	yes	complemented
66	#19099188	C₂²	1	4	yes	—
67	#19099187	C₂²	1	4	yes	complemented
68	#19099186	C₂²	1	4	yes	complemented
69	#19099185	C₂²	1	4	yes	complemented
70	#19099184	C₂²	1	4	yes	complemented
71	#19099182	C₂²	1	4	yes	complemented
72	#19099180	C₂²	1	4	yes	complemented
73	#19099178	C₂²	1	4	yes	complemented
74	#19099169	C₂²	1	4	yes	complemented
75	#19099168	C₂²	1	4	yes	complemented
76	#19099167	C₂²	1	4	yes	complemented
77	#19099166	C₂²	1	4	yes	complemented
78	#19099166	C₂²	1	4	yes	complemented
79	#19099164	C₂²	1	4	yes	complemented
80	#19099164	C₂²	1	4	yes	complemented
81	#19099153	C₂²	1	4	yes	complemented
82	#19099151	C₂²	1	4	yes	complemented
83	#19099150	C₂²	1	4	yes	complemented
84	#19099148	C₂²	1	8	yes	complemented
85	#19099146	C₂²	1	8	yes	complemented
86	#19099144	C₂²	1	1	yes	characteristic, complemented
87	#19099141	C₂²	1	2	yes	complemented
88	#19099136	C₂²	1	4	yes	complemented
89	#19099132	C₂²	1	2	yes	complemented
90	#19099131	C₂²	1	4	yes	—
91	#19099130	C₂²	1	2	yes	complemented
92	#19099129	C₂²	1	4	yes	—
93	#19099129	C₂²	1	4	yes	—
94	#19099129	C₂²	1	4	yes	complemented
95	#19099128	C₂²	1	8	yes	complemented
96	#19099127	C₂²	1	2	yes	complemented
97	#19099126	C₂²	1	4	yes	—
98	#19099121	C₂²	1	4	yes	—
99	#19099119	C₂²	1	4	yes	complemented
100	#19099118	C₂²	1	4	yes	complemented
101	#19099115	C₂²	1	4	yes	complemented
102	#19099114	C₂²	1	4	yes	complemented
103	#19099113	C₂²	1	4	yes	complemented
104	#19099111	C₂²	1	4	yes	complemented
105	#19099110	C₂²	1	4	yes	complemented
106	#19099110	C₂²	1	4	yes	complemented
107	#19099108	C₂²	1	4	yes	complemented
108	#19099108	C₂²	1	4	yes	complemented
109	#19099108	C₂²	1	4	yes	complemented
110	#127×D₇₉	C₂²	1	4	yes	complemented
111	#19099100	C₂²	1	4	yes	complemented
112	#19099099	C₂²	1	4	yes	complemented
113	#19099098	C₂²	1	4	yes	complemented
114	#19099097	C₂²	1	4	yes	complemented
115	#19099095	C₂²	1	4	yes	complemented
116	#19099094	C₂²	1	4	yes	complemented
117	#19099092	C₂²	1	4	yes	complemented
118	#124×D₇₉	C₂²	1	4	yes	complemented
119	#19099076	C₂²	1	4	yes	complemented
120	#19099076	C₂²	1	4	yes	complemented
121	#19099074	C₂²	1	4	yes	complemented
122	#19099073	C₂²	1	4	yes	complemented
123	#19099073	C₂²	1	4	yes	complemented
124	#19099072	C₂²	1	8	yes	complemented
125	#19099069	C₂²	1	8	yes	complemented
126	#121×D₇₉	C₂²	1	4	yes	complemented
127	#121×D₇₉	C₂²	1	4	yes	complemented
128	#120×D₇₉	C₂²	1	8	yes	—
129	#19099045	C₂²	1	2	yes	complemented
130	#19099045	C₂²	1	2	yes	complemented
131	#19099042	C₂²	1	4	yes	complemented
132	#19099042	C₂²	1	4	yes	complemented
133	#19099042	C₂²	1	2	yes	complemented
134	#19099042	C₂²	1	2	yes	complemented
135	#19099039	C₂²	1	2	yes	complemented
136	#19099039	C₂²	1	2	yes	complemented
137	#19099035	C₂²	1	4	yes	—
138	#19099035	C₂²	1	4	yes	—
139	#19099035	C₂²	1	4	yes	complemented
140	#19099035	C₂²	1	4	yes	complemented
141	#19099035	C₂²	1	4	yes	complemented
142	#19099035	C₂²	1	4	yes	complemented
143	#19099035	C₂²	1	2	yes	complemented
144	#19099035	C₂²	1	2	yes	complemented
145	#41×Dic₇₉	C₂²	1	2	yes	complemented
146	C₄×#11929624	C₂²	1	2	yes	complemented
147	C₄×#11929624	C₂²	1	4	yes	complemented
148	#19099031	C₂²	1	2	yes	complemented
149	#19099031	C₂²	1	4	yes	complemented
150	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
151	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic, complemented
152	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
153	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
154	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
155	C₂×#14579119	C₂²	1	1	yes	characteristic
156	C₂×#14579118	C₂²	1	1	yes	characteristic
157	C₂×#14579118	C₂²	1	4	yes	complemented
158	#117×D₇₉	C₂²	1	2	yes	—
159	#117×D₇₉	C₂²	1	4	yes	complemented
160	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	—
161	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	—
162	#544×C₇₉	C₂²	1	1	yes	characteristic, complemented
163	#542×C₇₉	C₂²	1	4	yes	complemented
164	#540×C₇₉	C₂²	1	4	yes	complemented
165	#538×C₇₉	C₂²	1	4	yes	complemented
166	#537×C₇₉	C₂²	1	1	yes	characteristic, complemented
167	#535×C₇₉	C₂²	1	2	yes	complemented
168	#532×C₇₉	C₂²	1	4	yes	complemented
169	#529×C₇₉	C₂²	1	4	yes	complemented
170	#525×C₇₉	C₂²	1	4	yes	complemented
171	C₄×#41×C₇₉	C₂²	1	2	yes	complemented
172	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic, complemented
173	C₂⁴×D₇₉	C₂³	1	2	yes	—
174	C₂×#11929625	C₂³	1	2	yes	—
175	C₂×#11929625	C₂³	1	4	yes	complemented
176	C₂×#11929624	C₂³	1	4	yes	—
177	C₂×#11929624	C₂³	1	2	yes	—
178	C₂×#11929624	C₂³	1	4	yes	complemented
179	C₂×#11929624	C₂³	1	8	yes	complemented
180	C₂×#11929623	C₂³	1	2	yes	—
181	C₂×#11929623	C₂³	1	4	yes	—
182	C₂×#11929623	C₂³	1	4	yes	complemented
183	C₂×#11929623	C₂³	1	8	yes	complemented
184	#41×D₇₉	—	2	16	no	—
185	C₂×Q₈×D₇₉	C₂³	1	2	yes	—
186	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
187	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
188	C₂×D₄×D₇₉	—	2	8	no	—
189	C₂×D₄×D₇₉	C₂³	1	4	yes	—
190	C₂×D₄×D₇₉	C₂³	1	4	yes	—
191	C₂×D₄×D₇₉	C₂³	1	4	yes	—
192	C₂×D₄×D₇₉	C₂³	1	2	yes	—
193	C₂×D₄×D₇₉	C₂³	1	8	yes	—
194	C₂×D₄×D₇₉	C₂³	1	8	yes	—
195	C₂³×Dic₇₉	C₂³	1	2	yes	—
196	C₂²×C₄×D₇₉	C₂³	1	4	yes	—
197	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
198	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
199	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
200	#14579161	C₂³	1	4	yes	complemented
201	#14579160	C₂³	1	4	yes	complemented
202	#14579160	C₂³	1	4	yes	complemented
203	#14579160	C₂³	1	4	yes	complemented
204	#14579160	C₂³	1	4	yes	complemented
205	#14579159	C₂³	1	4	yes	complemented
206	#14579158	C₂³	1	4	yes	—
207	#14579157	C₂³	1	4	yes	—
208	#14579157	C₂³	1	4	yes	—
209	#14579157	C₂³	1	8	yes	—
210	#14579157	C₂³	1	8	yes	—
211	#14579157	C₂³	1	4	yes	complemented
212	#14579156	C₂³	1	8	yes	complemented
213	#14579156	C₂³	1	8	yes	complemented
214	#14579156	C₂³	1	8	yes	complemented
215	#14579155	C₂³	1	8	yes	complemented
216	#14579154	C₂³	1	8	yes	complemented
217	#14579154	C₂³	1	8	yes	complemented
218	#14579154	C₂³	1	8	yes	complemented
219	#14579153	C₂³	1	4	yes	complemented
220	#14579152	C₂³	1	4	yes	complemented
221	#14579152	C₂³	1	4	yes	complemented
222	#14579151	C₂³	1	8	yes	complemented
223	#14579150	C₂³	1	4	yes	—
224	#14579150	C₂³	1	8	yes	complemented
225	#14579149	C₂³	1	4	yes	—
226	#14579149	C₂³	1	8	yes	complemented
227	#14579148	C₂³	1	4	yes	—
228	#14579148	C₂³	1	8	yes	complemented
229	#14579147	C₂³	1	8	yes	—
230	#14579147	C₂³	1	8	yes	—
231	#14579147	C₂³	1	8	yes	complemented
232	#14579147	C₂³	1	8	yes	complemented
233	#14579147	C₂³	1	8	yes	complemented
234	#14579147	C₂³	1	8	yes	complemented
235	#14579147	C₂³	1	8	yes	complemented
236	#14579146	C₂³	1	8	yes	—
237	#14579146	C₂³	1	8	yes	complemented
238	#14579146	C₂³	1	8	yes	complemented
239	#14579146	C₂³	1	8	yes	complemented
240	#14579146	C₂³	1	8	yes	complemented
241	#14579145	C₂³	1	8	yes	complemented
242	#14579145	C₂³	1	8	yes	complemented
243	#14579144	C₂³	1	8	yes	complemented
244	#14579144	C₂³	1	8	yes	complemented
245	#14579143	C₂³	1	8	yes	—
246	#14579143	C₂³	1	8	yes	complemented
247	#14579143	C₂³	1	8	yes	complemented
248	#14579143	C₂³	1	8	yes	complemented
249	#14579143	C₂³	1	8	yes	complemented
250	#14579142	C₂³	1	8	yes	complemented
251	#14579142	C₂³	1	8	yes	complemented
252	#14579141	C₂³	1	8	yes	—
253	#14579141	C₂³	1	4	yes	complemented
254	#14579141	C₂³	1	4	yes	complemented
255	#14579140	C₂³	1	4	yes	—
256	#14579140	C₂³	1	4	yes	complemented
257	#14579140	C₂³	1	4	yes	complemented
258	#14579139	C₂³	1	8	yes	—
259	#14579139	C₂³	1	8	yes	—
260	#14579139	C₂³	1	8	yes	complemented
261	#14579138	C₂³	1	8	yes	—
262	#14579138	C₂³	1	8	yes	complemented
263	#14579137	C₂³	1	8	yes	—
264	#14579137	C₂³	1	4	yes	complemented
265	#14579137	C₂³	1	4	yes	complemented
266	#14579136	C₂³	1	4	yes	—
267	#14579136	C₂³	1	4	yes	—
268	#14579136	C₂³	1	4	yes	complemented
269	#14579136	C₂³	1	8	yes	complemented
270	#14579136	C₂³	1	4	yes	complemented
271	#14579135	C₂³	1	4	yes	—
272	#14579135	C₂³	1	4	yes	—
273	#14579135	C₂³	1	4	yes	—
274	#14579135	C₂³	1	4	yes	complemented
275	#14579135	C₂³	1	8	yes	complemented
276	#14579135	C₂³	1	4	yes	complemented
277	#14579134	C₂³	1	8	yes	—
278	#14579134	C₂³	1	8	yes	—
279	#14579134	C₂³	1	8	yes	complemented
280	#14579134	C₂³	1	8	yes	complemented
281	#14579134	C₂³	1	8	yes	complemented
282	#14579133	C₂³	1	8	yes	—
283	#14579133	C₂³	1	8	yes	—
284	#14579133	C₂³	1	8	yes	—
285	#14579133	C₂³	1	8	yes	complemented
286	#14579133	C₂³	1	8	yes	complemented
287	#14579133	C₂³	1	8	yes	complemented
288	#14579132	C₂³	1	4	yes	—
289	#14579132	C₂³	1	4	yes	—
290	#14579132	C₂³	1	4	yes	complemented
291	#14579132	C₂³	1	8	yes	complemented
292	#14579132	C₂³	1	4	yes	complemented
293	#14579131	C₂³	1	8	yes	—
294	#14579131	C₂³	1	8	yes	—
295	#14579131	C₂³	1	8	yes	—
296	#14579131	C₂³	1	8	yes	—
297	#14579130	C₂³	1	8	yes	—
298	#14579129	C₂³	1	8	yes	—
299	#14579129	C₂³	1	8	yes	—
300	#14579129	C₂³	1	8	yes	—
301	#14579129	C₂³	1	8	yes	—
302	Q₈×Dic₇₉	C₂³	1	2	yes	complemented
303	Q₈×Dic₇₉	C₂³	1	2	yes	complemented
304	Q₈×Dic₇₉	C₂³	1	4	yes	complemented
305	C₄×Dic₁₅₈	C₂³	1	2	yes	complemented
306	C₄×Dic₁₅₈	C₂³	1	2	yes	complemented
307	C₄×Dic₁₅₈	C₂³	1	4	yes	complemented
308	C₄×Dic₁₅₈	C₂³	1	4	yes	complemented
309	#14579126	C₂³	1	2	yes	complemented
310	#14579126	C₂³	1	2	yes	complemented
311	#14579126	C₂³	1	8	yes	complemented
312	#14579126	C₂³	1	4	yes	complemented
313	#14579126	C₂³	1	4	yes	complemented
314	#14579126	C₂³	1	4	yes	complemented
315	C₄×D₃₁₆	C₂³	1	4	yes	—
316	C₄×D₃₁₆	C₂³	1	4	yes	—
317	C₄×D₃₁₆	C₂³	1	4	yes	—
318	C₄×D₃₁₆	C₂³	1	4	yes	—
319	C₄×D₃₁₆	C₂³	1	2	yes	complemented
320	C₄×D₃₁₆	C₂³	1	2	yes	complemented
321	C₄×D₃₁₆	C₂³	1	8	yes	complemented
322	D₄×Dic₇₉	C₂³	1	4	yes	—
323	D₄×Dic₇₉	C₂³	1	4	yes	—
324	D₄×Dic₇₉	C₂³	1	4	yes	—
325	D₄×Dic₇₉	C₂³	1	4	yes	—
326	D₄×Dic₇₉	C₂³	1	2	yes	complemented
327	D₄×Dic₇₉	C₂³	1	2	yes	complemented
328	D₄×Dic₇₉	C₂³	1	8	yes	complemented
329	D₄×Dic₇₉	C₂³	1	4	yes	complemented
330	#14579123	C₂³	1	4	yes	—
331	#14579123	C₂³	1	4	yes	—
332	#14579123	C₂³	1	4	yes	—
333	#14579123	C₂³	1	4	yes	—
334	#14579123	C₂³	1	2	yes	complemented
335	#14579123	C₂³	1	2	yes	complemented
336	#14579123	C₂³	1	8	yes	complemented
337	#14579123	C₂³	1	4	yes	complemented
338	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
339	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
340	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
341	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
342	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
343	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
344	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
345	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
346	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
347	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
348	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	complemented
349	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	complemented
350	(C₂²⋊D₇₉)⋊C₄	C₂³	1	4	yes	—
351	(C₂²⋊D₇₉)⋊C₄	C₂³	1	4	yes	—
352	(C₂²⋊D₇₉)⋊C₄	C₂³	1	4	yes	—
353	(C₂²⋊D₇₉)⋊C₄	C₂³	1	4	yes	—
354	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
355	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
356	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
357	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
358	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
359	(C₂²⋊D₇₉)⋊C₄	C₂³	1	4	yes	complemented
360	(C₂²⋊D₇₉)⋊C₄	C₂³	1	4	yes	complemented
361	#14579120	C₂³	1	2	yes	—
362	#14579120	C₂³	1	4	yes	complemented
363	#14579120	C₂³	1	4	yes	complemented
364	#14579119	C₂³	1	4	yes	—
365	#14579119	C₂³	1	4	yes	—
366	#14579119	C₂³	1	4	yes	—
367	#14579119	C₂³	1	4	yes	—
368	#14579119	C₂³	1	2	yes	—
369	#14579119	C₂³	1	2	yes	—
370	#14579119	C₂³	1	4	yes	complemented
371	#14579119	C₂³	1	4	yes	complemented
372	#14579118	C₂³	1	4	yes	—
373	#14579118	C₂³	1	4	yes	—
374	#14579118	C₂³	1	4	yes	—
375	#14579118	C₂³	1	2	yes	—
376	#14579118	C₂³	1	2	yes	—
377	#14579118	C₂³	1	2	yes	—
378	#14579118	C₂³	1	2	yes	—
379	#14579118	C₂³	1	4	yes	complemented
380	#14579118	C₂³	1	4	yes	complemented
381	#14579118	C₂³	1	8	yes	complemented
382	#14579118	C₂³	1	4	yes	complemented
383	#14579118	C₂³	1	4	yes	complemented
384	#14579117	C₂³	1	4	yes	—
385	#14579117	C₂³	1	8	yes	complemented
386	#14579117	C₂³	1	4	yes	complemented
387	#14579117	C₂³	1	4	yes	complemented
388	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
389	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
390	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
391	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	complemented
392	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	complemented
393	C₄⋊C₄×D₇₉	C₂³	1	2	yes	—
394	C₄⋊C₄×D₇₉	C₂³	1	2	yes	—
395	C₄⋊C₄×D₇₉	C₂³	1	4	yes	complemented
396	C₄⋊C₄×D₇₉	C₂³	1	4	yes	complemented
397	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
398	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
399	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
400	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
401	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
402	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	—
403	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
404	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	8	yes	—
405	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
406	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
407	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
408	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
409	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
410	C₂²⋊C₄×D₇₉	C₂³	1	4	yes	—
411	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
412	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
413	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
414	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
415	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
416	C₂×C₄×Dic₇₉	C₂³	1	4	yes	complemented
417	C₄²×D₇₉	C₂³	1	4	yes	—
418	C₄²×D₇₉	C₂³	1	4	yes	complemented
419	C₄²×D₇₉	C₂³	1	4	yes	complemented
420	C₂×#41×C₇₉	C₂³	1	2	yes	—
421	C₂×#41×C₇₉	C₂³	1	4	yes	complemented
422	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
423	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
424	C₄⋊Q₈×C₇₉	C₂³	1	4	yes	complemented
425	#127×C₇₉	C₂³	1	4	yes	—
426	#126×C₇₉	C₂³	1	8	yes	complemented
427	#125×C₇₉	C₂³	1	4	yes	complemented
428	#124×C₇₉	C₂³	1	4	yes	—
429	#124×C₇₉	C₂³	1	8	yes	complemented
430	#123×C₇₉	C₂³	1	8	yes	complemented
431	#123×C₇₉	C₂³	1	8	yes	complemented
432	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	—
433	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	complemented
434	C₂²⋊Q₈×C₇₉	C₂³	1	4	yes	complemented
435	#121×C₇₉	C₂³	1	4	yes	—
436	#121×C₇₉	C₂³	1	4	yes	—
437	#121×C₇₉	C₂³	1	4	yes	—
438	#121×C₇₉	C₂³	1	4	yes	complemented
439	#121×C₇₉	C₂³	1	4	yes	complemented
440	#121×C₇₉	C₂³	1	8	yes	complemented
441	#120×C₇₉	C₂³	1	8	yes	—
442	C₄×Q₈×C₇₉	C₂³	1	2	yes	complemented
443	C₄×Q₈×C₇₉	C₂³	1	2	yes	complemented
444	C₄×D₄×C₇₉	C₂³	1	4	yes	—
445	C₄×D₄×C₇₉	C₂³	1	4	yes	—
446	C₄×D₄×C₇₉	C₂³	1	4	yes	—
447	C₄×D₄×C₇₉	C₂³	1	4	yes	—
448	C₄×D₄×C₇₉	C₂³	1	2	yes	complemented
449	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
450	C₄×D₄×C₇₉	C₂³	1	2	yes	complemented
451	#117×C₇₉	C₂³	1	2	yes	—
452	#117×C₇₉	C₂³	1	4	yes	complemented
453	#117×C₇₉	C₂³	1	4	yes	complemented
454	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
455	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
456	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
457	C₂×C₄²×C₇₉	C₂³	1	4	yes	complemented
458	C₂³×D₇₉	—	2	8	no	—
459	C₂³×D₇₉	—	8	2	no	—
460	C₂³×D₇₉	—	8	2	no	—
461	C₂³×D₇₉	C₂⁴	1	8	yes	—
462	C₂³×D₇₉	C₂⁴	1	2	yes	—
463	C₂³×D₇₉	C₂⁴	1	4	yes	—
464	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
465	#11929625	—	2	8	no	—
466	#11929625	—	8	4	no	—
467	#11929624	—	2	16	no	—
468	#11929624	—	2	8	no	—
469	#11929624	—	8	4	no	—
470	#11929624	—	8	8	no	—
471	#11929623	—	2	16	no	—
472	#11929623	—	2	8	no	—
473	#11929623	—	8	4	no	—
474	#11929623	—	8	8	no	—
475	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
476	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
477	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
478	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
479	Q₈×D₇₉	—	2	8	no	—
480	C₂×D₃₁₆	—	2	4	no	—
481	C₂×D₃₁₆	C₂⁴	1	4	yes	—
482	C₂×D₃₁₆	C₂⁴	1	2	yes	—
483	C₂×D₃₁₆	C₂⁴	1	4	yes	—
484	C₂×D₃₁₆	C₂⁴	1	4	yes	—
485	C₂×D₃₁₆	C₂⁴	1	8	yes	—
486	C₂×D₃₁₆	C₂⁴	1	8	yes	—
487	C₂×C₂²⋊D₇₉	—	2	8	no	—
488	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
489	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
490	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
491	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
492	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
493	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
494	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
495	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
496	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
497	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
498	D₄×D₇₉	—	2	8	no	—
499	D₄×D₇₉	—	2	16	no	—
500	D₄×D₇₉	—	2	16	no	—
501	D₄×D₇₉	—	2	16	no	—
502	D₄×D₇₉	—	8	8	no	—
503	D₄×D₇₉	—	8	8	no	—
504	C₂²×Dic₇₉	—	8	2	no	—
505	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
506	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
507	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
508	C₂²×Dic₇₉	C₂⁴	1	8	yes	—
509	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
510	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
511	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
512	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
513	C₂×C₄×D₇₉	—	2	16	no	—
514	C₂×C₄×D₇₉	—	8	2	no	—
515	C₂×C₄×D₇₉	—	8	2	no	—
516	C₂×C₄×D₇₉	#41	1	8	yes	complemented
517	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
518	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
519	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
520	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
521	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
522	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
523	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
524	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
525	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
526	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
527	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
528	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
529	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
530	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
531	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
532	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
533	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
534	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
535	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
536	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
537	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
538	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
539	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
540	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
541	Dic₇₉⋊C₄	C₂⁴	1	1	yes	characteristic
542	Dic₇₉⋊C₄	C₂⁴	1	2	yes	—
543	Dic₇₉⋊C₄	C₂⁴	1	1	yes	characteristic
544	Dic₇₉⋊C₄	C₂⁴	1	2	yes	—
545	Dic₇₉⋊C₄	C₂⁴	1	1	yes	characteristic
546	Dic₇₉⋊C₄	C₂⁴	1	1	yes	characteristic
547	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
548	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
549	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
550	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
551	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
552	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
553	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
554	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
555	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
556	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
557	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
558	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
559	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
560	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
561	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
562	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
563	(C₂×D₇₉)⋊C₄	C₂⁴	1	2	yes	—
564	(C₂×D₇₉)⋊C₄	C₂⁴	1	2	yes	—
565	(C₂×D₇₉)⋊C₄	C₂⁴	1	2	yes	—
566	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
567	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
568	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
569	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
570	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
571	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
572	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
573	(C₂×D₇₉)⋊C₄	C₂⁴	1	2	yes	—
574	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
575	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
576	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
577	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
578	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
579	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
580	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
581	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
582	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
583	C₄×Dic₇₉	C₂⁴	1	4	yes	—
584	C₄×Dic₇₉	C₂⁴	1	4	yes	—
585	C₄×Dic₇₉	C₂⁴	1	4	yes	—
586	C₄×Dic₇₉	C₂⁴	1	2	yes	—
587	C₄×Dic₇₉	C₂⁴	1	4	yes	—
588	C₄×Dic₇₉	C₂⁴	1	4	yes	—
589	C₄×Dic₇₉	C₂⁴	1	4	yes	—
590	C₄×Dic₇₉	C₂⁴	1	4	yes	—
591	C₄×Dic₇₉	C₂⁴	1	2	yes	—
592	C₄×Dic₇₉	C₂⁴	1	4	yes	—
593	C₄×Dic₇₉	C₂⁴	1	4	yes	—
594	C₄×Dic₇₉	C₂⁴	1	4	yes	—
595	C₄×Dic₇₉	C₂⁴	1	4	yes	—
596	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
597	#41×C₇₉	—	2	8	no	—
598	#41×C₇₉	—	8	4	no	—
599	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
600	C₂×Q₈×C₇₉	C₂⁴	1	4	yes	—
601	C₂×D₄×C₇₉	—	2	4	no	—
602	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
603	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
604	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
605	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
606	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
607	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
608	C₂²×C₄×C₇₉	—	8	2	no	—
609	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
610	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
611	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
612	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
613	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
614	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
615	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
616	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
617	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
618	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
619	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
620	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
621	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
622	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
623	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
624	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
625	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
626	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
627	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
628	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
629	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
630	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
631	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
632	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
633	C₄²×C₇₉	C₂⁴	1	2	yes	—
634	C₄²×C₇₉	C₂⁴	1	2	yes	—
635	C₄²×C₇₉	C₂⁴	1	4	yes	—
636	C₄²×C₇₉	C₂⁴	1	4	yes	—
637	C₄²×C₇₉	C₂⁴	1	4	yes	—
638	C₂³×C₇₉	—	2	4	no	—
639	C₂³×C₇₉	—	4	2	no	—
640	C₂³×C₇₉	—	4	2	no	—
641	C₂³×C₇₉	C₂⁵	1	4	yes	—
642	C₂³×C₇₉	C₂⁵	1	4	yes	—
643	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
644	C₂²×D₇₉	—	2	4	no	—
645	C₂²×D₇₉	—	2	8	no	—
646	C₂²×D₇₉	—	2	16	no	—
647	C₂²×D₇₉	—	4	2	no	—
648	C₂²×D₇₉	—	4	2	no	—
649	C₂²×D₇₉	—	4	1	no	—
650	C₂²×D₇₉	—	4	1	no	—
651	C₂²×D₇₉	—	4	4	no	—
652	C₂²×D₇₉	—	4	4	no	—
653	C₂²×D₇₉	—	4	8	no	—
654	C₂²×D₇₉	—	4	8	no	—
655	C₂²×D₇₉	—	8	16	no	—
656	C₂²×D₇₉	C₂×#41	1	4	yes	—
657	C₂²×D₇₉	C₂⁵	1	4	yes	—
658	C₂²×D₇₉	C₂⁵	1	4	yes	—
659	C₂²×D₇₉	C₂⁵	1	2	yes	—
660	Q₈×C₇₉	—	2	4	no	—
661	Q₈×C₇₉	—	4	4	no	—
662	D₄×C₇₉	—	2	8	no	—
663	D₄×C₇₉	—	2	8	no	—
664	D₄×C₇₉	—	2	4	no	—
665	D₄×C₇₉	—	4	8	no	—
666	D₄×C₇₉	—	4	8	no	—
667	D₄×C₇₉	—	4	4	no	—
668	C₂×C₄×C₇₉	—	2	8	no	—
669	C₂×C₄×C₇₉	—	4	1	no	—
670	C₂×C₄×C₇₉	—	4	2	no	—
671	C₂×C₄×C₇₉	—	4	4	no	—
672	C₂×C₄×C₇₉	—	4	4	no	—
673	C₂×C₄×C₇₉	—	4	1	no	—
674	C₂×C₄×C₇₉	—	4	4	no	—
675	C₂×C₄×C₇₉	—	4	4	no	—
676	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
677	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
678	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
679	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
680	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
681	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
682	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
683	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
684	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
685	C₂²⋊D₇₉	—	2	8	no	—
686	C₂²⋊D₇₉	—	2	8	no	—
687	C₂²⋊D₇₉	—	2	8	no	—
688	C₂²⋊D₇₉	—	2	8	no	—
689	C₂²⋊D₇₉	—	2	8	no	—
690	C₂²⋊D₇₉	—	4	8	no	—
691	C₂²⋊D₇₉	—	4	8	no	—
692	C₂²⋊D₇₉	—	4	8	no	—
693	C₂²⋊D₇₉	—	4	8	no	—
694	C₂²⋊D₇₉	—	4	8	no	—
695	C₂×Dic₇₉	—	2	8	no	—
696	C₂×Dic₇₉	—	4	1	no	—
697	C₂×Dic₇₉	—	4	2	no	—
698	C₂×Dic₇₉	—	4	1	no	—
699	C₂×Dic₇₉	—	4	8	no	—
700	C₂×Dic₇₉	—	4	4	no	—
701	C₂×Dic₇₉	—	4	4	no	—
702	C₂×Dic₇₉	C₂×#41	1	4	yes	—
703	C₂×Dic₇₉	C₂⁵	1	2	yes	—
704	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
705	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
706	C₂×Dic₇₉	C₂⁵	1	4	yes	—
707	C₂×Dic₇₉	C₂⁵	1	4	yes	—
708	C₂×Dic₇₉	C₂⁵	1	4	yes	—
709	C₂×Dic₇₉	C₂⁵	1	4	yes	—
710	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
711	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
712	D₃₁₆	—	2	8	no	—
713	D₃₁₆	—	2	8	no	—
714	D₃₁₆	—	2	4	no	—
715	D₃₁₆	—	4	8	no	—
716	D₃₁₆	—	4	8	no	—
717	D₃₁₆	—	4	4	no	—
718	C₄×D₇₉	—	2	8	no	—
719	C₄×D₇₉	—	2	8	no	—
720	C₄×D₇₉	—	2	8	no	—
721	C₄×D₇₉	—	4	4	no	—
722	C₄×D₇₉	—	4	8	no	—
723	C₄×D₇₉	—	4	4	no	—
724	C₄×D₇₉	—	4	4	no	—
725	C₄×D₇₉	—	4	4	no	—
726	C₄×D₇₉	—	4	4	no	—
727	C₄×D₇₉	—	4	4	no	—
728	C₄×D₇₉	—	4	4	no	—
729	C₄×D₇₉	—	4	4	no	—
730	C₄×D₇₉	C₂×#41	1	8	yes	—
731	C₄×D₇₉	C₂×#41	1	8	yes	—
732	Dic₁₅₈	—	2	4	no	—
733	Dic₁₅₈	—	2	8	no	—
734	Dic₁₅₈	—	4	4	no	—
735	Dic₁₅₈	—	4	8	no	—
736	C₂²×C₇₉	—	2	1	no	—
737	C₂²×C₇₉	—	2	1	no	—
738	C₂²×C₇₉	—	2	4	no	—
739	C₂²×C₇₉	—	2	4	no	—
740	C₂²×C₇₉	—	2	4	no	—
741	C₂²×C₇₉	—	2	4	no	—
742	C₂²×C₇₉	—	2	4	no	—
743	C₂²×C₇₉	—	2	4	no	—
744	C₂²×C₇₉	—	4	8	no	—
745	C₂²×C₇₉	C₂²×#41	1	2	yes	—
746	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
747	C₂×D₇₉	—	2	2	no	—
748	C₂×D₇₉	—	2	2	no	—
749	C₂×D₇₉	—	2	4	no	—
750	C₂×D₇₉	—	2	4	no	—
751	C₂×D₇₉	—	2	4	no	—
752	C₂×D₇₉	—	2	4	no	—
753	C₂×D₇₉	—	2	4	no	—
754	C₂×D₇₉	—	2	4	no	—
755	C₂×D₇₉	—	4	4	no	—
756	C₂×D₇₉	—	4	8	no	—
757	C₂×D₇₉	—	8	8	no	—
758	C₂×D₇₉	—	8	16	no	—
759	C₂×D₇₉	C₂²×#41	1	4	yes	—
760	C₄×C₇₉	—	2	4	no	—
761	C₄×C₇₉	—	2	1	no	—
762	C₄×C₇₉	—	2	1	no	—
763	C₄×C₇₉	—	2	4	no	—
764	C₄×C₇₉	—	2	2	no	—
765	C₄×C₇₉	—	2	4	no	—
766	C₄×C₇₉	—	2	4	no	—
767	C₄×C₇₉	C₂²×#41	1	4	yes	—
768	Dic₇₉	—	2	4	no	—
769	Dic₇₉	—	2	4	no	—
770	Dic₇₉	—	2	4	no	—
771	Dic₇₉	—	2	4	no	—
772	Dic₇₉	—	2	1	no	—
773	Dic₇₉	—	2	1	no	—
774	Dic₇₉	—	2	2	no	—
775	Dic₇₉	C₂²×#41	1	2	yes	—
776	Dic₇₉	C₂²×#41	1	2	yes	—
777	#62855	—	79	1	no	maximal, Sylow
778	C₂×C₇₉	—	2	2	no	—
779	C₂×C₇₉	—	4	4	no	—
780	C₂×C₇₉	—	4	4	no	—
781	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
782	C₂×C₇₉	H(7,𝔽₂)	1	1	yes	characteristic
783	C₂×C₇₉	H(7,𝔽₂)	1	1	yes	characteristic
784	D₇₉	—	2	4	no	—
785	D₇₉	—	4	4	no	—
786	D₇₉	—	4	4	no	—
787	#3510	—	79	4	no	—
788	#3510	—	79	4	no	—
789	#3508	—	79	4	no	—
790	#3508	—	79	4	no	—
791	#3506	—	79	4	no	—
792	#3506	—	79	4	no	—
793	#3494	—	79	4	no	—
794	#3494	—	79	4	no	—
795	#3494	—	79	4	no	—
796	#3494	—	79	4	no	—
797	#3490	—	79	4	no	—
798	#3490	—	79	4	no	—
799	#3460	—	79	1	no	—
800	#3460	—	79	1	no	—
801	#3460	—	79	2	no	—
802	#3460	—	79	2	no	—
803	#3460	—	79	1	no	—
804	#3460	D₇₉	1	1	yes	characteristic, complemented
805	#3458	—	79	1	no	—
806	#3449	—	79	1	no	—
807	C₂×#535	—	79	2	no	—
808	#3428	—	79	2	no	—
809	C₂×#518	—	79	1	no	—
810	C₇₉	#62855	1	1	yes	characteristic, complemented, Sylow
811	C₂²×#41	—	79	2	no	—
812	C₂³×D₄	—	79	1	no	—
813	#559	—	79	8	no	—
814	#559	—	79	8	no	—
815	#559	—	79	8	no	—
816	#559	—	79	8	no	—
817	#556	—	79	8	no	—
818	#556	—	79	4	no	—
819	#556	—	79	4	no	—
820	#555	—	79	8	no	—
821	#555	—	79	4	no	—
822	#555	—	79	4	no	—
823	#553	—	79	8	no	—
824	#553	—	79	8	no	—
825	#553	—	79	8	no	—
826	#553	—	79	8	no	—
827	#551	—	79	8	no	—
828	#551	—	79	8	no	—
829	#551	—	79	8	no	—
830	#551	—	79	8	no	—
831	#551	—	79	8	no	—
832	#551	—	79	8	no	—
833	#551	—	79	8	no	—
834	#551	—	79	8	no	—
835	#550	—	79	4	no	—
836	#550	—	79	4	no	—
837	#550	—	79	8	no	—
838	#547	—	79	4	no	—
839	#547	—	79	8	no	—
840	#547	—	79	4	no	—
841	#546	—	79	8	no	—
842	#546	—	79	8	no	—
843	#546	—	79	8	no	—
844	#546	—	79	8	no	—
845	#546	—	79	8	no	—
846	#546	—	79	8	no	—
847	#546	—	79	8	no	—
848	#546	—	79	8	no	—
849	#544	—	79	4	no	—
850	#544	—	79	4	no	—
851	#544	—	79	2	no	—
852	#544	—	79	1	no	—
853	#544	C₂×D₇₉	1	1	yes	characteristic, complemented
854	#543	—	79	4	no	—
855	#542	—	79	4	no	—
856	#542	—	79	4	no	—
857	#542	—	79	4	no	—
858	#542	—	79	4	no	—
859	#542	—	79	4	no	—
860	#542	—	79	4	no	—
861	#542	—	79	4	no	—
862	#542	C₂×D₇₉	1	4	yes	complemented
863	#540	—	79	4	no	—
864	#540	—	79	4	no	—
865	#540	—	79	4	no	—
866	#540	—	79	4	no	—
867	#540	—	79	4	no	—
868	#540	—	79	4	no	—
869	#540	—	79	4	no	—
870	#540	C₂×D₇₉	1	4	yes	complemented
871	#538	—	79	4	no	—
872	#538	—	79	4	no	—
873	#538	—	79	8	no	—
874	#538	—	79	8	no	—
875	#538	—	79	4	no	—
876	#538	C₂×D₇₉	1	4	yes	complemented
877	#537	—	79	2	no	—
878	#537	—	79	1	no	—
879	#537	C₂×D₇₉	1	1	yes	characteristic, complemented
880	#536	—	79	4	no	—
881	#535	—	79	2	no	—
882	#535	—	79	2	no	—
883	#535	—	79	4	no	—
884	#535	—	79	4	no	—
885	#535	—	79	4	no	—
886	#535	—	79	4	no	—
887	#535	—	79	4	no	—
888	#535	—	79	8	no	—
889	#535	—	79	2	no	—
890	#535	C₂×D₇₉	1	2	yes	complemented
891	#534	—	79	4	no	—
892	#533	—	79	4	no	—
893	#533	—	79	4	no	—
894	#533	—	79	4	no	—
895	#532	—	79	4	no	—
896	#532	—	79	4	no	—
897	#532	—	79	4	no	—
898	#532	—	79	4	no	—
899	#532	—	79	4	no	—
900	#532	—	79	4	no	—
901	#532	—	79	4	no	—
902	#532	—	79	4	no	—
903	#532	C₂×D₇₉	1	4	yes	complemented
904	C₂×#127	—	79	4	no	—
905	#529	—	79	4	no	—
906	#529	—	79	4	no	—
907	#529	—	79	4	no	—
908	#529	—	79	4	no	—
909	#529	—	79	4	no	—
910	#529	—	79	4	no	—
911	#529	—	79	4	no	—
912	#529	C₂×D₇₉	1	4	yes	complemented
913	C₂×#124	—	79	4	no	—
914	#525	—	79	4	no	—
915	#525	—	79	4	no	—
916	#525	—	79	4	no	—
917	#525	—	79	4	no	—
918	#525	—	79	4	no	—
919	#525	—	79	8	no	—
920	#525	—	79	8	no	—
921	#525	C₂×D₇₉	1	4	yes	complemented
922	C₂×#121	—	79	4	no	—
923	C₂×#121	—	79	4	no	—
924	C₂×#120	—	79	8	no	—
925	#520	—	79	2	no	—
926	#520	—	79	2	no	—
927	#520	—	79	4	no	—
928	#520	—	79	4	no	—
929	#520	—	79	2	no	—
930	#520	—	79	2	no	—
931	#519	—	79	2	no	—
932	#519	—	79	2	no	—
933	#518	—	79	4	no	—
934	#518	—	79	4	no	—
935	#518	—	79	4	no	—
936	#518	—	79	4	no	—
937	#518	—	79	4	no	—
938	#518	—	79	4	no	—
939	#518	—	79	2	no	—
940	#518	—	79	2	no	—
941	C₄×#41	—	79	2	no	—
942	C₄×#41	—	79	2	no	—
943	C₄×#41	—	79	4	no	—
944	C₄×#41	—	79	2	no	—
945	C₄×#41	—	79	4	no	—
946	C₄×#41	C₂×D₇₉	1	2	yes	complemented
947	C₂×C₄×D₄	—	79	1	no	—
948	C₂×C₄×D₄	—	79	2	no	—
949	C₂×C₄×D₄	—	79	1	no	—
950	C₂×C₄×D₄	—	79	2	no	—
951	C₂×C₄×D₄	—	79	1	no	—
952	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic, complemented
953	C₂×#117	—	79	2	no	—
954	C₂×#117	—	79	4	no	—
955	C₂×#117	—	79	1	no	—
956	C₂×#117	—	79	1	no	—
957	C₂×#117	—	79	4	no	—
958	C₂²×C₂²⋊C₄	—	79	2	no	—
959	C₂²×C₂²⋊C₄	—	79	2	no	—
960	C₂⁵	—	79	2	no	—
961	C₂×#41	—	79	4	no	—
962	C₂×#41	—	79	2	no	—
963	C₂×#41	—	79	4	no	—
964	C₂×#41	—	79	8	no	—
965	C₂×#41	—	79	2	no	—
966	C₂×#41	—	79	4	no	—
967	C₂×#41	—	79	4	no	—
968	C₂×#41	—	79	8	no	—
969	C₂×#41	—	79	4	no	—
970	C₂×#41	—	79	2	no	—
971	C₂×#41	—	158	16	no	—
972	C₂×#41	C₂²×D₇₉	1	2	yes	—
973	C₂×#41	C₂²×D₇₉	1	4	yes	complemented
974	C₂²×Q₈	—	79	2	no	—
975	C₂²×D₄	—	79	2	no	—
976	C₂²×D₄	—	79	8	no	—
977	C₂²×D₄	—	79	8	no	—
978	C₂²×D₄	—	79	4	no	—
979	C₂²×D₄	—	79	4	no	—
980	C₂²×D₄	—	79	4	no	—
981	C₂²×D₄	—	79	2	no	—
982	C₂²×D₄	—	79	1	no	—
983	C₂²×D₄	—	158	8	no	—
984	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
985	C₂³×C₄	—	79	1	no	—
986	C₂³×C₄	—	79	2	no	—
987	C₂³×C₄	—	79	2	no	—
988	C₂³×C₄	—	79	2	no	—
989	C₂³×C₄	—	79	4	no	—
990	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
991	C₄⋊Q₈	—	79	4	no	—
992	C₄⋊Q₈	—	79	4	no	—
993	C₄⋊Q₈	—	79	4	no	—
994	C₄⋊Q₈	—	79	4	no	—
995	C₄⋊Q₈	—	79	4	no	—
996	C₄⋊Q₈	—	79	4	no	—
997	C₄⋊Q₈	C₂²×D₇₉	1	4	yes	complemented
998	#127	—	79	4	no	—
999	#127	—	79	4	no	—
1000	#127	—	79	8	no	—
1001	#127	—	79	8	no	—
1002	#127	—	79	4	no	—
1003	#127	—	79	4	no	—
1004	#127	C₂²×D₇₉	1	4	yes	—
1005	#126	—	79	8	no	—
1006	#126	—	79	8	no	—
1007	#126	—	79	8	no	—
1008	#126	—	79	8	no	—
1009	#126	—	79	8	no	—
1010	#126	—	79	8	no	—
1011	#126	—	79	8	no	—
1012	#126	C₂²×D₇₉	1	8	yes	complemented
1013	#125	—	79	4	no	—
1014	#125	—	79	4	no	—
1015	#125	—	79	8	no	—
1016	#125	—	79	4	no	—
1017	#125	C₂²×D₇₉	1	4	yes	complemented
1018	#124	—	79	4	no	—
1019	#124	—	79	8	no	—
1020	#124	—	79	4	no	—
1021	#124	—	79	8	no	—
1022	#124	—	79	8	no	—
1023	#124	—	79	8	no	—
1024	#124	—	79	8	no	—
1025	#124	—	79	8	no	—
1026	#124	—	79	8	no	—
1027	#124	—	79	8	no	—
1028	#124	—	79	8	no	—
1029	#124	—	79	4	no	—
1030	#124	—	79	8	no	—
1031	#124	C₂²×D₇₉	1	4	yes	—
1032	#124	C₂²×D₇₉	1	8	yes	complemented
1033	#123	—	79	8	no	—
1034	#123	—	79	8	no	—
1035	#123	—	79	8	no	—
1036	#123	—	79	8	no	—
1037	#123	—	79	8	no	—
1038	#123	—	79	8	no	—
1039	#123	—	79	8	no	—
1040	#123	—	79	8	no	—
1041	#123	—	79	8	no	—
1042	#123	—	79	8	no	—
1043	#123	—	79	8	no	—
1044	#123	—	79	8	no	—
1045	#123	—	79	8	no	—
1046	#123	—	79	8	no	—
1047	#123	—	79	8	no	—
1048	#123	—	79	8	no	—
1049	#123	C₂²×D₇₉	1	8	yes	complemented
1050	#123	C₂²×D₇₉	1	8	yes	complemented
1051	C₂²⋊Q₈	—	79	4	no	—
1052	C₂²⋊Q₈	—	79	4	no	—
1053	C₂²⋊Q₈	—	79	8	no	—
1054	C₂²⋊Q₈	—	79	4	no	—
1055	C₂²⋊Q₈	—	79	4	no	—
1056	C₂²⋊Q₈	—	79	4	no	—
1057	C₂²⋊Q₈	—	79	4	no	—
1058	C₂²⋊Q₈	—	79	8	no	—
1059	C₂²⋊Q₈	—	79	4	no	—
1060	C₂²⋊Q₈	—	79	8	no	—
1061	C₂²⋊Q₈	—	79	8	no	—
1062	C₂²⋊Q₈	—	79	8	no	—
1063	C₂²⋊Q₈	—	79	8	no	—
1064	C₂²⋊Q₈	—	79	8	no	—
1065	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	—
1066	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	complemented
1067	C₂²⋊Q₈	C₂²×D₇₉	1	4	yes	complemented
1068	#121	—	79	4	no	—
1069	#121	—	79	4	no	—
1070	#121	—	79	8	no	—
1071	#121	—	79	8	no	—
1072	#121	—	79	8	no	—
1073	#121	—	79	4	no	—
1074	#121	—	79	4	no	—
1075	#121	—	79	8	no	—
1076	#121	—	79	8	no	—
1077	#121	—	79	8	no	—
1078	#121	—	79	8	no	—
1079	#121	—	79	4	no	—
1080	#121	—	79	4	no	—
1081	#121	—	79	4	no	—
1082	#121	—	79	4	no	—
1083	#121	—	79	4	no	—
1084	#121	—	79	8	no	—
1085	#121	—	79	4	no	—
1086	#121	—	79	4	no	—
1087	#121	—	79	4	no	—
1088	#121	—	79	4	no	—
1089	#121	—	79	8	no	—
1090	#121	—	79	8	no	—
1091	#121	—	79	8	no	—
1092	#121	—	79	8	no	—
1093	#121	—	79	8	no	—
1094	#121	—	79	8	no	—
1095	#121	C₂²×D₇₉	1	4	yes	—
1096	#121	C₂²×D₇₉	1	4	yes	—
1097	#121	C₂²×D₇₉	1	4	yes	—
1098	#121	C₂²×D₇₉	1	4	yes	complemented
1099	#121	C₂²×D₇₉	1	4	yes	complemented
1100	#121	C₂²×D₇₉	1	8	yes	complemented
1101	#120	—	79	8	no	—
1102	#120	—	79	8	no	—
1103	#120	—	79	8	no	—
1104	#120	—	79	8	no	—
1105	#120	—	79	8	no	—
1106	#120	—	79	8	no	—
1107	#120	—	79	8	no	—
1108	#120	—	79	8	no	—
1109	#120	—	79	8	no	—
1110	#120	C₂²×D₇₉	1	8	yes	—
1111	C₄×Q₈	—	79	2	no	—
1112	C₄×Q₈	—	79	2	no	—
1113	C₄×Q₈	—	79	4	no	—
1114	C₄×Q₈	—	79	2	no	—
1115	C₄×Q₈	—	79	2	no	—
1116	C₄×Q₈	—	79	4	no	—
1117	C₄×Q₈	—	79	4	no	—
1118	C₄×Q₈	—	79	8	no	—
1119	C₄×Q₈	—	79	4	no	—
1120	C₄×Q₈	—	79	2	no	—
1121	C₄×Q₈	—	79	2	no	—
1122	C₄×Q₈	—	79	4	no	—
1123	C₄×Q₈	—	79	4	no	—
1124	C₄×Q₈	C₂²×D₇₉	1	2	yes	complemented
1125	C₄×Q₈	C₂²×D₇₉	1	2	yes	complemented
1126	C₄×D₄	—	79	4	no	—
1127	C₄×D₄	—	79	4	no	—
1128	C₄×D₄	—	79	4	no	—
1129	C₄×D₄	—	79	4	no	—
1130	C₄×D₄	—	79	2	no	—
1131	C₄×D₄	—	79	2	no	—
1132	C₄×D₄	—	79	4	no	—
1133	C₄×D₄	—	79	8	no	—
1134	C₄×D₄	—	79	4	no	—
1135	C₄×D₄	—	79	4	no	—
1136	C₄×D₄	—	79	4	no	—
1137	C₄×D₄	—	79	4	no	—
1138	C₄×D₄	—	79	4	no	—
1139	C₄×D₄	—	79	4	no	—
1140	C₄×D₄	—	79	4	no	—
1141	C₄×D₄	—	79	4	no	—
1142	C₄×D₄	—	79	4	no	—
1143	C₄×D₄	—	79	4	no	—
1144	C₄×D₄	—	79	8	no	—
1145	C₄×D₄	—	79	8	no	—
1146	C₄×D₄	—	79	4	no	—
1147	C₄×D₄	—	79	4	no	—
1148	C₄×D₄	—	79	2	no	—
1149	C₄×D₄	—	79	2	no	—
1150	C₄×D₄	—	79	4	no	—
1151	C₄×D₄	—	79	4	no	—
1152	C₄×D₄	—	79	4	no	—
1153	C₄×D₄	—	79	8	no	—
1154	C₄×D₄	—	79	8	no	—
1155	C₄×D₄	—	79	8	no	—
1156	C₄×D₄	—	79	4	no	—
1157	C₄×D₄	—	79	4	no	—
1158	C₄×D₄	—	79	4	no	—
1159	C₄×D₄	—	79	4	no	—
1160	C₄×D₄	—	79	4	no	—
1161	C₄×D₄	—	79	4	no	—
1162	C₄×D₄	—	79	8	no	—
1163	C₄×D₄	—	79	8	no	—
1164	C₄×D₄	—	79	8	no	—
1165	C₄×D₄	—	79	4	no	—
1166	C₄×D₄	—	79	4	no	—
1167	C₄×D₄	—	79	2	no	—
1168	C₄×D₄	—	79	2	no	—
1169	C₄×D₄	—	79	4	no	—
1170	C₄×D₄	—	79	4	no	—
1171	C₄×D₄	—	79	8	no	—
1172	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1173	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1174	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1175	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1176	C₄×D₄	C₂²×D₇₉	1	2	yes	complemented
1177	C₄×D₄	C₂²×D₇₉	1	2	yes	complemented
1178	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1179	#117	—	79	2	no	—
1180	#117	—	79	4	no	—
1181	#117	—	79	4	no	—
1182	#117	—	79	4	no	—
1183	#117	—	79	4	no	—
1184	#117	—	79	2	no	—
1185	#117	—	79	2	no	—
1186	#117	—	79	4	no	—
1187	#117	—	79	4	no	—
1188	#117	—	79	4	no	—
1189	#117	—	79	4	no	—
1190	#117	—	79	4	no	—
1191	#117	—	79	4	no	—
1192	#117	—	79	4	no	—
1193	#117	—	79	8	no	—
1194	#117	—	79	2	no	—
1195	#117	—	79	2	no	—
1196	#117	—	79	4	no	—
1197	#117	—	79	2	no	—
1198	#117	—	79	2	no	—
1199	#117	—	79	4	no	—
1200	#117	—	79	4	no	—
1201	#117	—	79	4	no	—
1202	#117	—	79	4	no	—
1203	#117	—	79	4	no	—
1204	#117	—	79	4	no	—
1205	#117	—	79	8	no	—
1206	#117	C₂²×D₇₉	1	2	yes	—
1207	#117	C₂²×D₇₉	1	4	yes	complemented
1208	#117	C₂²×D₇₉	1	4	yes	complemented
1209	C₂×C₄⋊C₄	—	79	1	no	—
1210	C₂×C₄⋊C₄	—	79	1	no	—
1211	C₂×C₄⋊C₄	—	79	1	no	—
1212	C₂×C₄⋊C₄	—	79	4	no	—
1213	C₂×C₄⋊C₄	—	79	4	no	—
1214	C₂×C₄⋊C₄	—	79	2	no	—
1215	C₂×C₄⋊C₄	—	79	2	no	—
1216	C₂×C₄⋊C₄	—	79	4	no	—
1217	C₂×C₄⋊C₄	—	79	4	no	—
1218	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1219	C₂×C₂²⋊C₄	—	79	2	no	—
1220	C₂×C₂²⋊C₄	—	79	1	no	—
1221	C₂×C₂²⋊C₄	—	79	1	no	—
1222	C₂×C₂²⋊C₄	—	79	2	no	—
1223	C₂×C₂²⋊C₄	—	79	2	no	—
1224	C₂×C₂²⋊C₄	—	79	2	no	—
1225	C₂×C₂²⋊C₄	—	79	8	no	—
1226	C₂×C₂²⋊C₄	—	79	8	no	—
1227	C₂×C₂²⋊C₄	—	79	4	no	—
1228	C₂×C₂²⋊C₄	—	79	4	no	—
1229	C₂×C₂²⋊C₄	—	79	8	no	—
1230	C₂×C₂²⋊C₄	—	79	8	no	—
1231	C₂×C₂²⋊C₄	—	79	4	no	—
1232	C₂×C₂²⋊C₄	—	79	4	no	—
1233	C₂×C₂²⋊C₄	—	79	4	no	—
1234	C₂×C₂²⋊C₄	—	79	8	no	—
1235	C₂×C₂²⋊C₄	—	79	8	no	—
1236	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1237	C₂×C₄²	—	79	1	no	—
1238	C₂×C₄²	—	79	2	no	—
1239	C₂×C₄²	—	79	4	no	—
1240	C₂×C₄²	—	79	4	no	—
1241	C₂×C₄²	—	79	4	no	—
1242	C₂×C₄²	—	79	4	no	—
1243	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1244	C₂×C₄²	C₂²×D₇₉	1	4	yes	complemented
1245	C₂⁴	—	79	1	no	—
1246	C₂⁴	—	79	8	no	—
1247	C₂⁴	—	79	4	no	—
1248	C₂⁴	—	79	2	no	—
1249	C₂⁴	—	632	2	no	—
1250	C₂⁴	—	632	2	no	—
1251	C₂⁴	—	158	8	no	—
1252	C₂⁴	C₂³×D₇₉	1	2	yes	—
1253	#41	—	2	8	no	—
1254	#41	—	8	4	no	—
1255	#41	—	632	4	no	—
1256	#41	—	632	8	no	—
1257	#41	—	632	4	no	—
1258	#41	—	632	8	no	—
1259	#41	—	632	4	no	—
1260	#41	—	158	16	no	—
1261	#41	—	158	16	no	—
1262	#41	—	158	8	no	—
1263	#41	—	158	8	no	—
1264	#41	—	158	8	no	—
1265	C₂×Q₈	—	79	4	no	—
1266	C₂×Q₈	—	79	8	no	—
1267	C₂×Q₈	—	79	2	no	—
1268	C₂×Q₈	—	79	4	no	—
1269	C₂×Q₈	—	158	8	no	—
1270	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
1271	C₂×Q₈	C₂³×D₇₉	1	4	yes	—
1272	C₂×D₄	—	2	4	no	—
1273	C₂×D₄	—	79	8	no	—
1274	C₂×D₄	—	79	8	no	—
1275	C₂×D₄	—	79	8	no	—
1276	C₂×D₄	—	79	8	no	—
1277	C₂×D₄	—	79	8	no	—
1278	C₂×D₄	—	79	4	no	—
1279	C₂×D₄	—	79	4	no	—
1280	C₂×D₄	—	79	4	no	—
1281	C₂×D₄	—	79	4	no	—
1282	C₂×D₄	—	79	4	no	—
1283	C₂×D₄	—	79	4	no	—
1284	C₂×D₄	—	79	8	no	—
1285	C₂×D₄	—	79	8	no	—
1286	C₂×D₄	—	79	4	no	—
1287	C₂×D₄	—	79	4	no	—
1288	C₂×D₄	—	79	2	no	—
1289	C₂×D₄	—	632	8	no	—
1290	C₂×D₄	—	632	8	no	—
1291	C₂×D₄	—	158	16	no	—
1292	C₂×D₄	—	158	16	no	—
1293	C₂×D₄	—	158	8	no	—
1294	C₂×D₄	—	158	8	no	—
1295	C₂×D₄	—	158	16	no	—
1296	C₂×D₄	—	158	4	no	—
1297	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1298	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1299	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1300	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1301	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1302	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1303	C₂²×C₄	—	8	2	no	—
1304	C₂²×C₄	—	79	1	no	—
1305	C₂²×C₄	—	79	1	no	—
1306	C₂²×C₄	—	79	2	no	—
1307	C₂²×C₄	—	79	4	no	—
1308	C₂²×C₄	—	79	4	no	—
1309	C₂²×C₄	—	79	8	no	—
1310	C₂²×C₄	—	79	4	no	—
1311	C₂²×C₄	—	79	4	no	—
1312	C₂²×C₄	—	79	4	no	—
1313	C₂²×C₄	—	79	4	no	—
1314	C₂²×C₄	—	79	4	no	—
1315	C₂²×C₄	—	79	4	no	—
1316	C₂²×C₄	—	79	4	no	—
1317	C₂²×C₄	—	79	4	no	—
1318	C₂²×C₄	—	79	8	no	—
1319	C₂²×C₄	—	79	1	no	—
1320	C₂²×C₄	—	79	8	no	—
1321	C₂²×C₄	—	79	2	no	—
1322	C₂²×C₄	—	79	2	no	—
1323	C₂²×C₄	—	79	4	no	—
1324	C₂²×C₄	—	79	4	no	—
1325	C₂²×C₄	—	79	4	no	—
1326	C₂²×C₄	—	79	4	no	—
1327	C₂²×C₄	—	632	2	no	—
1328	C₂²×C₄	—	632	2	no	—
1329	C₂²×C₄	—	632	2	no	—
1330	C₂²×C₄	—	158	16	no	—
1331	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1332	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1333	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1334	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1335	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1336	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1337	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1338	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1339	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1340	C₄⋊C₄	—	79	1	no	—
1341	C₄⋊C₄	—	79	2	no	—
1342	C₄⋊C₄	—	79	1	no	—
1343	C₄⋊C₄	—	79	4	no	—
1344	C₄⋊C₄	—	79	4	no	—
1345	C₄⋊C₄	—	79	1	no	—
1346	C₄⋊C₄	—	79	2	no	—
1347	C₄⋊C₄	—	79	1	no	—
1348	C₄⋊C₄	—	79	4	no	—
1349	C₄⋊C₄	—	79	4	no	—
1350	C₄⋊C₄	—	79	4	no	—
1351	C₄⋊C₄	—	79	4	no	—
1352	C₄⋊C₄	—	79	8	no	—
1353	C₄⋊C₄	—	79	8	no	—
1354	C₄⋊C₄	—	79	8	no	—
1355	C₄⋊C₄	—	79	8	no	—
1356	C₄⋊C₄	—	79	4	no	—
1357	C₄⋊C₄	—	79	2	no	—
1358	C₄⋊C₄	—	79	2	no	—
1359	C₄⋊C₄	—	79	4	no	—
1360	C₄⋊C₄	—	79	4	no	—
1361	C₄⋊C₄	—	79	4	no	—
1362	C₄⋊C₄	—	79	4	no	—
1363	C₄⋊C₄	—	79	8	no	—
1364	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1365	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1366	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1367	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1368	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1369	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1370	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1371	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1372	C₂²⋊C₄	—	79	4	no	—
1373	C₂²⋊C₄	—	79	4	no	—
1374	C₂²⋊C₄	—	79	4	no	—
1375	C₂²⋊C₄	—	79	4	no	—
1376	C₂²⋊C₄	—	79	4	no	—
1377	C₂²⋊C₄	—	79	8	no	—
1378	C₂²⋊C₄	—	79	8	no	—
1379	C₂²⋊C₄	—	79	8	no	—
1380	C₂²⋊C₄	—	79	2	no	—
1381	C₂²⋊C₄	—	79	2	no	—
1382	C₂²⋊C₄	—	79	2	no	—
1383	C₂²⋊C₄	—	79	2	no	—
1384	C₂²⋊C₄	—	79	8	no	—
1385	C₂²⋊C₄	—	79	4	no	—
1386	C₂²⋊C₄	—	79	4	no	—
1387	C₂²⋊C₄	—	79	8	no	—
1388	C₂²⋊C₄	—	79	4	no	—
1389	C₂²⋊C₄	—	79	4	no	—
1390	C₂²⋊C₄	—	79	4	no	—
1391	C₂²⋊C₄	—	79	4	no	—
1392	C₂²⋊C₄	—	79	4	no	—
1393	C₂²⋊C₄	—	79	4	no	—
1394	C₂²⋊C₄	—	79	8	no	—
1395	C₂²⋊C₄	—	79	8	no	—
1396	C₂²⋊C₄	—	79	8	no	—
1397	C₂²⋊C₄	—	79	8	no	—
1398	C₂²⋊C₄	—	79	8	no	—
1399	C₂²⋊C₄	—	79	8	no	—
1400	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1401	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1402	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1403	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1404	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1405	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1406	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1407	C₄²	—	79	2	no	—
1408	C₄²	—	79	2	no	—
1409	C₄²	—	79	4	no	—
1410	C₄²	—	79	4	no	—
1411	C₄²	—	79	4	no	—
1412	C₄²	—	79	4	no	—
1413	C₄²	—	79	4	no	—
1414	C₄²	—	79	4	no	—
1415	C₄²	—	79	4	no	—
1416	C₄²	—	79	4	no	—
1417	C₄²	—	79	4	no	—
1418	C₄²	—	79	4	no	—
1419	C₄²	—	79	4	no	—
1420	C₄²	C₂³×D₇₉	1	2	yes	—
1421	C₄²	C₂³×D₇₉	1	4	yes	—
1422	C₄²	C₂³×D₇₉	1	2	yes	—
1423	C₄²	C₂³×D₇₉	1	4	yes	—
1424	C₄²	C₂³×D₇₉	1	4	yes	—
1425	C₂³	—	2	4	no	—
1426	C₂³	—	4	2	no	—
1427	C₂³	—	4	2	no	—
1428	C₂³	—	316	2	no	—
1429	C₂³	—	316	2	no	—
1430	C₂³	—	316	1	no	—
1431	C₂³	—	316	1	no	—
1432	C₂³	—	316	4	no	—
1433	C₂³	—	316	4	no	—
1434	C₂³	—	316	8	no	—
1435	C₂³	—	316	8	no	—
1436	C₂³	—	79	4	no	—
1437	C₂³	—	79	2	no	—
1438	C₂³	—	79	4	no	—
1439	C₂³	—	79	4	no	—
1440	C₂³	—	632	16	no	—
1441	C₂³	—	158	8	no	—
1442	C₂³	—	158	16	no	—
1443	C₂³	—	158	4	no	—
1444	C₂³	C₂⁴×D₇₉	1	4	yes	—
1445	C₂³	C₂⁴×D₇₉	1	4	yes	—
1446	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1447	Q₈	—	2	4	no	—
1448	Q₈	—	4	4	no	—
1449	Q₈	—	316	4	no	—
1450	Q₈	—	316	8	no	—
1451	Q₈	—	158	8	no	—
1452	Q₈	—	158	4	no	—
1453	D₄	—	2	8	no	—
1454	D₄	—	2	8	no	—
1455	D₄	—	2	4	no	—
1456	D₄	—	4	8	no	—
1457	D₄	—	4	8	no	—
1458	D₄	—	4	4	no	—
1459	D₄	—	316	8	no	—
1460	D₄	—	316	8	no	—
1461	D₄	—	316	4	no	—
1462	D₄	—	316	8	no	—
1463	D₄	—	316	8	no	—
1464	D₄	—	316	8	no	—
1465	D₄	—	316	8	no	—
1466	D₄	—	316	8	no	—
1467	D₄	—	158	8	no	—
1468	D₄	—	158	8	no	—
1469	D₄	—	158	8	no	—
1470	D₄	—	158	8	no	—
1471	D₄	—	158	8	no	—
1472	D₄	—	158	8	no	—
1473	D₄	—	158	8	no	—
1474	D₄	—	158	4	no	—
1475	C₂×C₄	—	2	8	no	—
1476	C₂×C₄	—	4	1	no	—
1477	C₂×C₄	—	4	2	no	—
1478	C₂×C₄	—	4	4	no	—
1479	C₂×C₄	—	4	4	no	—
1480	C₂×C₄	—	4	1	no	—
1481	C₂×C₄	—	4	4	no	—
1482	C₂×C₄	—	4	4	no	—
1483	C₂×C₄	—	316	4	no	—
1484	C₂×C₄	—	316	4	no	—
1485	C₂×C₄	—	316	8	no	—
1486	C₂×C₄	—	316	4	no	—
1487	C₂×C₄	—	316	4	no	—
1488	C₂×C₄	—	316	4	no	—
1489	C₂×C₄	—	316	4	no	—
1490	C₂×C₄	—	316	4	no	—
1491	C₂×C₄	—	316	4	no	—
1492	C₂×C₄	—	316	1	no	—
1493	C₂×C₄	—	316	1	no	—
1494	C₂×C₄	—	316	2	no	—
1495	C₂×C₄	—	316	8	no	—
1496	C₂×C₄	—	316	4	no	—
1497	C₂×C₄	—	316	4	no	—
1498	C₂×C₄	—	79	1	no	—
1499	C₂×C₄	—	79	1	no	—
1500	C₂×C₄	—	79	4	no	—
1501	C₂×C₄	—	79	8	no	—
1502	C₂×C₄	—	79	8	no	—
1503	C₂×C₄	—	79	1	no	—
1504	C₂×C₄	—	79	1	no	—
1505	C₂×C₄	—	79	2	no	—
1506	C₂×C₄	—	79	4	no	—
1507	C₂×C₄	—	79	4	no	—
1508	C₂×C₄	—	79	4	no	—
1509	C₂×C₄	—	79	4	no	—
1510	C₂×C₄	—	158	8	no	—
1511	C₂×C₄	—	158	8	no	—
1512	C₂×C₄	—	158	8	no	—
1513	C₂×C₄	—	158	8	no	—
1514	C₂×C₄	#41×D₇₉	1	4	yes	—
1515	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1516	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1517	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1518	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1519	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1520	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1521	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1522	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1523	C₂²	—	2	1	no	—
1524	C₂²	—	2	1	no	—
1525	C₂²	—	2	4	no	—
1526	C₂²	—	2	4	no	—
1527	C₂²	—	2	4	no	—
1528	C₂²	—	2	4	no	—
1529	C₂²	—	2	4	no	—
1530	C₂²	—	2	4	no	—
1531	C₂²	—	4	8	no	—
1532	C₂²	—	316	8	no	—
1533	C₂²	—	316	4	no	—
1534	C₂²	—	79	4	no	—
1535	C₂²	—	632	16	no	—
1536	C₂²	—	632	8	no	—
1537	C₂²	—	158	4	no	—
1538	C₂²	—	158	4	no	—
1539	C₂²	—	158	4	no	—
1540	C₂²	—	158	4	no	—
1541	C₂²	—	158	4	no	—
1542	C₂²	—	158	4	no	—
1543	C₂²	—	158	2	no	—
1544	C₂²	—	158	2	no	—
1545	C₂²	C₂×#41×D₇₉	1	2	yes	—
1546	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1547	C₄	—	2	4	no	—
1548	C₄	—	2	1	no	—
1549	C₄	—	2	1	no	—
1550	C₄	—	2	4	no	—
1551	C₄	—	2	4	no	—
1552	C₄	—	2	2	no	—
1553	C₄	—	2	4	no	—
1554	C₄	—	79	2	no	—
1555	C₄	—	79	2	no	—
1556	C₄	—	158	4	no	—
1557	C₄	—	158	1	no	—
1558	C₄	—	158	1	no	—
1559	C₄	—	158	4	no	—
1560	C₄	—	158	2	no	—
1561	C₄	—	158	4	no	—
1562	C₄	—	158	4	no	—
1563	C₄	C₂×#41×D₇₉	1	4	yes	—
1564	C₂	—	2	2	no	—
1565	C₂	—	4	4	no	—
1566	C₂	—	4	4	no	—
1567	C₂	—	316	4	no	—
1568	C₂	—	316	4	no	—
1569	C₂	—	158	4	no	—
1570	C₂	C₂²×#41×D₇₉	1	1	yes	characteristic
1571	C₂	#23778210	1	1	yes	characteristic
1572	C₂	#23778211	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₇₉×#3460	C₂
hypercenter	#3460	D₇₉
hypocenter	C₇₉	#62855
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ #3460

Complements

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

N	H ≅ G/N	type
1. #23777292	C₂	semidirect
2. #23777289	C₂	semidirect
3. #23777272	C₂	semidirect
4. #23777269	C₂	semidirect
5. #23777247	C₂	semidirect
6. #23777243	C₂	semidirect
7. #23777133	C₂	semidirect
8. #23777130	C₂	semidirect
9. #23777127	C₂	semidirect
10. #23777123	C₂	semidirect
11. #23777086	C₂	semidirect
12. #23777083	C₂	semidirect
13. #23776823	C₂	semidirect
14. #23776822	C₂	semidirect
15. #23776817	C₂	semidirect
16. #23776816	C₂	semidirect
17. #23776813	C₂	semidirect
18. #23776804	C₂	semidirect
19. #23776728	C₂	semidirect
20. #535×D₇₉	C₂	semidirect
21. #23776599	C₂	semidirect
22. C₂×#19099035	C₂	semidirect
23. C₇₉×#3460	C₂	semidirect
26. #19099297	C₂²	semidirect
27. #19099297	C₂²	semidirect
28. #19099296	C₂²	semidirect
29. #19099295	C₂²	semidirect
30. #19099284	C₂²	semidirect
31. #19099281	C₂²	semidirect
32. #19099280	C₂²	semidirect
33. #19099277	C₂²	semidirect
34. #19099276	C₂²	semidirect
35. #19099275	C₂²	semidirect
36. #19099264	C₂²	semidirect
37. #19099262	C₂²	semidirect
38. #19099258	C₂²	semidirect
39. #19099256	C₂²	semidirect
40. #19099243	C₂²	semidirect
41. #19099242	C₂²	semidirect
42. #19099241	C₂²	semidirect
43. #19099240	C₂²	semidirect
44. #19099238	C₂²	semidirect
45. #19099238	C₂²	semidirect
46. #19099237	C₂²	semidirect
47. #19099236	C₂²	semidirect
48. #19099232	C₂²	semidirect
49. #19099231	C₂²	semidirect
50. #19099231	C₂²	semidirect
51. #19099215	C₂²	semidirect
52. #19099212	C₂²	semidirect
53. #19099211	C₂²	semidirect
54. #19099210	C₂²	semidirect
55. #19099208	C₂²	semidirect
56. #19099206	C₂²	semidirect
57. #19099205	C₂²	semidirect
58. #19099205	C₂²	semidirect
59. #19099202	C₂²	semidirect
60. #19099202	C₂²	semidirect
61. #19099201	C₂²	semidirect
62. #19099194	C₂²	semidirect
63. #19099193	C₂²	semidirect
64. #19099191	C₂²	semidirect
65. #19099190	C₂²	semidirect
67. #19099187	C₂²	semidirect
68. #19099186	C₂²	semidirect
69. #19099185	C₂²	semidirect
70. #19099184	C₂²	semidirect
71. #19099182	C₂²	semidirect
72. #19099180	C₂²	semidirect
73. #19099178	C₂²	semidirect
74. #19099169	C₂²	semidirect
75. #19099168	C₂²	semidirect
76. #19099167	C₂²	semidirect
77. #19099166	C₂²	semidirect
78. #19099166	C₂²	semidirect
79. #19099164	C₂²	semidirect
80. #19099164	C₂²	semidirect
81. #19099153	C₂²	semidirect
82. #19099151	C₂²	semidirect
83. #19099150	C₂²	semidirect
84. #19099148	C₂²	semidirect
85. #19099146	C₂²	semidirect
86. #19099144	C₂²	semidirect
87. #19099141	C₂²	semidirect
88. #19099136	C₂²	semidirect
89. #19099132	C₂²	semidirect
91. #19099130	C₂²	semidirect
94. #19099129	C₂²	semidirect
95. #19099128	C₂²	semidirect
96. #19099127	C₂²	semidirect
99. #19099119	C₂²	semidirect
100. #19099118	C₂²	semidirect
101. #19099115	C₂²	semidirect
102. #19099114	C₂²	semidirect
103. #19099113	C₂²	semidirect
104. #19099111	C₂²	semidirect
105. #19099110	C₂²	semidirect
106. #19099110	C₂²	semidirect
107. #19099108	C₂²	semidirect
108. #19099108	C₂²	semidirect
109. #19099108	C₂²	semidirect
110. #127×D₇₉	C₂²	semidirect
111. #19099100	C₂²	semidirect
112. #19099099	C₂²	semidirect
113. #19099098	C₂²	semidirect
114. #19099097	C₂²	semidirect
115. #19099095	C₂²	semidirect
116. #19099094	C₂²	semidirect
117. #19099092	C₂²	semidirect
118. #124×D₇₉	C₂²	semidirect
119. #19099076	C₂²	semidirect
120. #19099076	C₂²	semidirect
121. #19099074	C₂²	semidirect
122. #19099073	C₂²	semidirect
123. #19099073	C₂²	semidirect
124. #19099072	C₂²	semidirect
125. #19099069	C₂²	semidirect
126. #121×D₇₉	C₂²	semidirect
127. #121×D₇₉	C₂²	semidirect
129. #19099045	C₂²	semidirect
130. #19099045	C₂²	semidirect
131. #19099042	C₂²	semidirect
132. #19099042	C₂²	semidirect
133. #19099042	C₂²	semidirect
134. #19099042	C₂²	semidirect
135. #19099039	C₂²	semidirect
136. #19099039	C₂²	semidirect
139. #19099035	C₂²	semidirect
140. #19099035	C₂²	semidirect
141. #19099035	C₂²	semidirect
142. #19099035	C₂²	semidirect
143. #19099035	C₂²	semidirect
144. #19099035	C₂²	semidirect
145. #41×Dic₇₉	C₂²	semidirect
146. C₄×#11929624	C₂²	semidirect
147. C₄×#11929624	C₂²	semidirect
148. #19099031	C₂²	semidirect
149. #19099031	C₂²	semidirect
150. C₂×C₄×D₃₁₆	C₂²	semidirect
151. C₂×D₄×Dic₇₉	C₂²	semidirect
152. C₂×#14579123	C₂²	semidirect
153. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
154. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
157. C₂×#14579118	C₂²	semidirect
159. #117×D₇₉	C₂²	semidirect
162. #544×C₇₉	C₂²	semidirect
163. #542×C₇₉	C₂²	semidirect
164. #540×C₇₉	C₂²	semidirect
165. #538×C₇₉	C₂²	semidirect
166. #537×C₇₉	C₂²	semidirect
167. #535×C₇₉	C₂²	semidirect
168. #532×C₇₉	C₂²	semidirect
169. #529×C₇₉	C₂²	semidirect
170. #525×C₇₉	C₂²	semidirect
171. C₄×#41×C₇₉	C₂²	semidirect
172. C₂×C₄×D₄×C₇₉	C₂²	semidirect
175. C₂×#11929625	C₂³	semidirect
178. C₂×#11929624	C₂³	semidirect
179. C₂×#11929624	C₂³	semidirect
182. C₂×#11929623	C₂³	semidirect
183. C₂×#11929623	C₂³	semidirect
200. #14579161	C₂³	semidirect
201. #14579160	C₂³	semidirect
202. #14579160	C₂³	semidirect
203. #14579160	C₂³	semidirect
204. #14579160	C₂³	semidirect
205. #14579159	C₂³	semidirect
211. #14579157	C₂³	semidirect
212. #14579156	C₂³	semidirect
213. #14579156	C₂³	semidirect
214. #14579156	C₂³	semidirect
215. #14579155	C₂³	semidirect
216. #14579154	C₂³	semidirect
217. #14579154	C₂³	semidirect
218. #14579154	C₂³	semidirect
219. #14579153	C₂³	semidirect
220. #14579152	C₂³	semidirect
221. #14579152	C₂³	semidirect
222. #14579151	C₂³	semidirect
224. #14579150	C₂³	semidirect
226. #14579149	C₂³	semidirect
228. #14579148	C₂³	semidirect
231. #14579147	C₂³	semidirect
232. #14579147	C₂³	semidirect
233. #14579147	C₂³	semidirect
234. #14579147	C₂³	semidirect
235. #14579147	C₂³	semidirect
237. #14579146	C₂³	semidirect
238. #14579146	C₂³	semidirect
239. #14579146	C₂³	semidirect
240. #14579146	C₂³	semidirect
241. #14579145	C₂³	semidirect
242. #14579145	C₂³	semidirect
243. #14579144	C₂³	semidirect
244. #14579144	C₂³	semidirect
246. #14579143	C₂³	semidirect
247. #14579143	C₂³	semidirect
248. #14579143	C₂³	semidirect
249. #14579143	C₂³	semidirect
250. #14579142	C₂³	semidirect
251. #14579142	C₂³	semidirect
253. #14579141	C₂³	semidirect
254. #14579141	C₂³	semidirect
256. #14579140	C₂³	semidirect
257. #14579140	C₂³	semidirect
260. #14579139	C₂³	semidirect
262. #14579138	C₂³	semidirect
264. #14579137	C₂³	semidirect
265. #14579137	C₂³	semidirect
268. #14579136	C₂³	semidirect
269. #14579136	C₂³	semidirect
270. #14579136	C₂³	semidirect
274. #14579135	C₂³	semidirect
275. #14579135	C₂³	semidirect
276. #14579135	C₂³	semidirect
279. #14579134	C₂³	semidirect
280. #14579134	C₂³	semidirect
281. #14579134	C₂³	semidirect
285. #14579133	C₂³	semidirect
286. #14579133	C₂³	semidirect
287. #14579133	C₂³	semidirect
290. #14579132	C₂³	semidirect
291. #14579132	C₂³	semidirect
292. #14579132	C₂³	semidirect
302. Q₈×Dic₇₉	C₂³	semidirect
303. Q₈×Dic₇₉	C₂³	semidirect
304. Q₈×Dic₇₉	C₂³	semidirect
305. C₄×Dic₁₅₈	C₂³	semidirect
306. C₄×Dic₁₅₈	C₂³	semidirect
307. C₄×Dic₁₅₈	C₂³	semidirect
308. C₄×Dic₁₅₈	C₂³	semidirect
309. #14579126	C₂³	semidirect
310. #14579126	C₂³	semidirect
311. #14579126	C₂³	semidirect
312. #14579126	C₂³	semidirect
313. #14579126	C₂³	semidirect
314. #14579126	C₂³	semidirect
319. C₄×D₃₁₆	C₂³	semidirect
320. C₄×D₃₁₆	C₂³	semidirect
321. C₄×D₃₁₆	C₂³	semidirect
326. D₄×Dic₇₉	C₂³	semidirect
327. D₄×Dic₇₉	C₂³	semidirect
328. D₄×Dic₇₉	C₂³	semidirect
329. D₄×Dic₇₉	C₂³	semidirect
334. #14579123	C₂³	semidirect
335. #14579123	C₂³	semidirect
336. #14579123	C₂³	semidirect
337. #14579123	C₂³	semidirect
346. C₄×C₂²⋊D₇₉	C₂³	semidirect
347. C₄×C₂²⋊D₇₉	C₂³	semidirect
348. C₄×C₂²⋊D₇₉	C₂³	semidirect
349. C₄×C₂²⋊D₇₉	C₂³	semidirect
356. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
357. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
358. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
359. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
360. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
362. #14579120	C₂³	semidirect
363. #14579120	C₂³	semidirect
370. #14579119	C₂³	semidirect
371. #14579119	C₂³	semidirect
379. #14579118	C₂³	semidirect
380. #14579118	C₂³	semidirect
381. #14579118	C₂³	semidirect
382. #14579118	C₂³	semidirect
383. #14579118	C₂³	semidirect
385. #14579117	C₂³	semidirect
386. #14579117	C₂³	semidirect
387. #14579117	C₂³	semidirect
391. C₂×Dic₇₉⋊C₄	C₂³	semidirect
392. C₂×Dic₇₉⋊C₄	C₂³	semidirect
395. C₄⋊C₄×D₇₉	C₂³	semidirect
396. C₄⋊C₄×D₇₉	C₂³	semidirect
416. C₂×C₄×Dic₇₉	C₂³	semidirect
418. C₄²×D₇₉	C₂³	semidirect
419. C₄²×D₇₉	C₂³	semidirect
421. C₂×#41×C₇₉	C₂³	semidirect
424. C₄⋊Q₈×C₇₉	C₂³	semidirect
426. #126×C₇₉	C₂³	semidirect
427. #125×C₇₉	C₂³	semidirect
429. #124×C₇₉	C₂³	semidirect
430. #123×C₇₉	C₂³	semidirect
431. #123×C₇₉	C₂³	semidirect
433. C₂²⋊Q₈×C₇₉	C₂³	semidirect
434. C₂²⋊Q₈×C₇₉	C₂³	semidirect
438. #121×C₇₉	C₂³	semidirect
439. #121×C₇₉	C₂³	semidirect
440. #121×C₇₉	C₂³	semidirect
442. C₄×Q₈×C₇₉	C₂³	semidirect
443. C₄×Q₈×C₇₉	C₂³	semidirect
448. C₄×D₄×C₇₉	C₂³	semidirect
449. C₄×D₄×C₇₉	C₂³	semidirect
450. C₄×D₄×C₇₉	C₂³	semidirect
452. #117×C₇₉	C₂³	semidirect
453. #117×C₇₉	C₂³	semidirect
457. C₂×C₄²×C₇₉	C₂³	semidirect
516. C₂×C₄×D₇₉	#41	semidirect
804. #3460	D₇₉	semidirect
810. C₇₉	#62855	semidirect
853. #544	C₂×D₇₉	semidirect
862. #542	C₂×D₇₉	semidirect
870. #540	C₂×D₇₉	semidirect
876. #538	C₂×D₇₉	semidirect
879. #537	C₂×D₇₉	semidirect
890. #535	C₂×D₇₉	semidirect
903. #532	C₂×D₇₉	semidirect
912. #529	C₂×D₇₉	semidirect
921. #525	C₂×D₇₉	semidirect
946. C₄×#41	C₂×D₇₉	semidirect
952. C₂×C₄×D₄	C₂×D₇₉	semidirect
973. C₂×#41	C₂²×D₇₉	semidirect
997. C₄⋊Q₈	C₂²×D₇₉	semidirect
1012. #126	C₂²×D₇₉	semidirect
1017. #125	C₂²×D₇₉	semidirect
1032. #124	C₂²×D₇₉	semidirect
1049. #123	C₂²×D₇₉	semidirect
1050. #123	C₂²×D₇₉	semidirect
1066. C₂²⋊Q₈	C₂²×D₇₉	semidirect
1067. C₂²⋊Q₈	C₂²×D₇₉	semidirect
1098. #121	C₂²×D₇₉	semidirect
1099. #121	C₂²×D₇₉	semidirect
1100. #121	C₂²×D₇₉	semidirect
1124. C₄×Q₈	C₂²×D₇₉	semidirect
1125. C₄×Q₈	C₂²×D₇₉	semidirect
1176. C₄×D₄	C₂²×D₇₉	semidirect
1177. C₄×D₄	C₂²×D₇₉	semidirect
1178. C₄×D₄	C₂²×D₇₉	semidirect
1207. #117	C₂²×D₇₉	semidirect
1208. #117	C₂²×D₇₉	semidirect
1244. C₂×C₄²	C₂²×D₇₉	semidirect

Maximal subgroups

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

subgroup	index
#23777292	2
#23777289	2
#23777272	2
#23777269	2
#23777247	2
#23777243	2
#23777133	2
#23777130	2
#23777127	2
#23777123	2
#23777086	2
#23777083	2
#23776823	2
#23776822	2
#23776817	2
#23776816	2
#23776813	2
#23776804	2
#23776728	2
#535×D₇₉	2
#23776599	2
C₂×#19099035	2
C₇₉×#3460	2
#62855	79