Subgroups — #35197312

Order 20224.

7390 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23777470	C₂	1	4	yes	maximal, complemented
2	#23777468	C₂	1	4	yes	maximal, complemented
3	#23777432	C₂	1	4	yes	maximal, complemented
4	#23777422	C₂	1	4	yes	maximal, complemented
5	#23777361	C₂	1	4	yes	maximal, complemented
6	#23777351	C₂	1	4	yes	maximal, complemented
7	#23777342	C₂	1	4	yes	maximal, complemented
8	#23777340	C₂	1	4	yes	maximal, complemented
9	#23777245	C₂	1	2	yes	maximal, complemented
10	#23777230	C₂	1	4	yes	maximal, complemented
11	#23777198	C₂	1	1	yes	maximal, characteristic, complemented
12	#23777159	C₂	1	1	yes	maximal, characteristic, complemented
13	#23777113	C₂	1	2	yes	maximal, complemented
14	#23777085	C₂	1	4	yes	maximal, complemented
15	#23777036	C₂	1	1	yes	maximal, characteristic, complemented
16	#23777031	C₂	1	1	yes	maximal, characteristic, complemented
17	#23776816	C₂	1	2	yes	maximal, complemented
18	#23776809	C₂	1	4	yes	maximal, complemented
19	#23776785	C₂	1	2	yes	maximal, complemented
20	C₂×#19099146	C₂	1	4	yes	maximal, complemented
21	C₄×#14579206	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#19099035	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×H(5,𝔽₂)×C₇₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#14579206	C₂²	1	1	yes	characteristic
25	C₂²×D₄×D₇₉	C₂²	1	1	yes	characteristic
26	#19099298	C₂²	1	4	yes	complemented
27	#19099296	C₂²	1	4	yes	complemented
28	#19099286	C₂²	1	4	yes	complemented
29	#19099285	C₂²	1	4	yes	complemented
30	#19099281	C₂²	1	4	yes	complemented
31	#19099278	C₂²	1	4	yes	complemented
32	#19099276	C₂²	1	4	yes	complemented
33	#19099276	C₂²	1	4	yes	complemented
34	#19099272	C₂²	1	4	yes	complemented
35	#19099272	C₂²	1	4	yes	complemented
36	#19099270	C₂²	1	4	yes	complemented
37	#19099263	C₂²	1	4	yes	complemented
38	#19099262	C₂²	1	8	yes	complemented
39	#19099262	C₂²	1	8	yes	complemented
40	#19099261	C₂²	1	4	yes	complemented
41	#19099261	C₂²	1	4	yes	complemented
42	#19099259	C₂²	1	8	yes	complemented
43	#19099257	C₂²	1	4	yes	complemented
44	#19099254	C₂²	1	4	yes	complemented
45	#19099248	C₂²	1	4	yes	complemented
46	#19099246	C₂²	1	8	yes	complemented
47	#19099242	C₂²	1	8	yes	complemented
48	#19099242	C₂²	1	8	yes	complemented
49	#19099239	C₂²	1	8	yes	complemented
50	#19099237	C₂²	1	8	yes	complemented
51	#19099237	C₂²	1	8	yes	complemented
52	#19099237	C₂²	1	8	yes	complemented
53	#19099234	C₂²	1	4	yes	complemented
54	D₄×Dic₁₅₈	C₂²	1	4	yes	complemented
55	#19099222	C₂²	1	8	yes	complemented
56	#19099214	C₂²	1	4	yes	complemented
57	#19099212	C₂²	1	4	yes	complemented
58	#19099209	C₂²	1	8	yes	complemented
59	#19099209	C₂²	1	8	yes	complemented
60	#19099208	C₂²	1	4	yes	complemented
61	#19099208	C₂²	1	4	yes	complemented
62	#19099207	C₂²	1	4	yes	complemented
63	#19099203	C₂²	1	8	yes	complemented
64	#19099203	C₂²	1	8	yes	complemented
65	#19099203	C₂²	1	8	yes	complemented
66	#19099201	C₂²	1	4	yes	complemented
67	#19099201	C₂²	1	4	yes	complemented
68	#19099201	C₂²	1	4	yes	complemented
69	D₄×D₃₁₆	C₂²	1	4	yes	complemented
70	D₄×D₃₁₆	C₂²	1	4	yes	complemented
71	D₄×C₂²⋊D₇₉	C₂²	1	4	yes	complemented
72	D₄×C₂²⋊D₇₉	C₂²	1	4	yes	complemented
73	D₄×C₂²⋊D₇₉	C₂²	1	4	yes	complemented
74	#19099191	C₂²	1	2	yes	complemented
75	#19099189	C₂²	1	4	yes	complemented
76	#19099185	C₂²	1	2	yes	complemented
77	#19099185	C₂²	1	2	yes	complemented
78	#19099185	C₂²	1	4	yes	complemented
79	#19099184	C₂²	1	4	yes	complemented
80	#19099178	C₂²	1	2	yes	complemented
81	#19099178	C₂²	1	2	yes	complemented
82	#19099171	C₂²	1	2	yes	complemented
83	#19099171	C₂²	1	2	yes	complemented
84	#19099168	C₂²	1	4	yes	complemented
85	#19099164	C₂²	1	2	yes	complemented
86	#19099164	C₂²	1	2	yes	complemented
87	#19099164	C₂²	1	4	yes	complemented
88	#19099160	C₂²	1	8	yes	complemented
89	#19099155	C₂²	1	4	yes	complemented
90	#19099155	C₂²	1	4	yes	complemented
91	#19099155	C₂²	1	8	yes	complemented
92	#19099151	C₂²	1	8	yes	complemented
93	#19099146	C₂²	1	4	yes	complemented
94	#19099146	C₂²	1	4	yes	complemented
95	#19099146	C₂²	1	8	yes	complemented
96	#19099146	C₂²	1	8	yes	complemented
97	#19099146	C₂²	1	8	yes	complemented
98	#19099146	C₂²	1	8	yes	complemented
99	#19099146	C₂²	1	8	yes	complemented
100	#19099146	C₂²	1	8	yes	complemented
101	#19099146	C₂²	1	8	yes	complemented
102	#19099146	C₂²	1	8	yes	complemented
103	#19099141	C₂²	1	2	yes	complemented
104	#19099132	C₂²	1	2	yes	complemented
105	#19099127	C₂²	1	2	yes	complemented
106	#19099125	C₂²	1	4	yes	complemented
107	#19099122	C₂²	1	4	yes	complemented
108	#19099122	C₂²	1	4	yes	complemented
109	#19099116	C₂²	1	2	yes	complemented
110	#19099113	C₂²	1	4	yes	complemented
111	#19099110	C₂²	1	4	yes	complemented
112	#19099109	C₂²	1	2	yes	complemented
113	#19099100	C₂²	1	4	yes	complemented
114	#19099097	C₂²	1	4	yes	complemented
115	#19099097	C₂²	1	4	yes	complemented
116	#19099097	C₂²	1	8	yes	complemented
117	#19099097	C₂²	1	4	yes	complemented
118	#19099093	C₂²	1	8	yes	complemented
119	#19099093	C₂²	1	8	yes	complemented
120	#19099091	C₂²	1	4	yes	complemented
121	#19099091	C₂²	1	4	yes	complemented
122	C₂×#14579156	C₂²	1	4	yes	complemented
123	C₂×#14579155	C₂²	1	4	yes	complemented
124	C₂×#14579149	C₂²	1	4	yes	complemented
125	C₂×#14579147	C₂²	1	4	yes	complemented
126	#19099075	C₂²	1	2	yes	complemented
127	#19099074	C₂²	1	8	yes	complemented
128	#19099072	C₂²	1	8	yes	complemented
129	#19099072	C₂²	1	8	yes	complemented
130	#19099072	C₂²	1	8	yes	complemented
131	#19099070	C₂²	1	2	yes	complemented
132	C₂×#14579146	C₂²	1	4	yes	complemented
133	C₂×#14579144	C₂²	1	4	yes	complemented
134	C₂×#14579138	C₂²	1	4	yes	complemented
135	C₂×#14579135	C₂²	1	4	yes	complemented
136	C₂×#14579134	C₂²	1	4	yes	complemented
137	C₂×#14579133	C₂²	1	4	yes	complemented
138	C₂×#14579131	C₂²	1	4	yes	complemented
139	C₂×#14579129	C₂²	1	4	yes	complemented
140	#19099044	C₂²	1	2	yes	complemented
141	#19099042	C₂²	1	4	yes	complemented
142	#19099038	C₂²	1	1	yes	characteristic
143	#19099036	C₂²	1	4	yes	complemented
144	#19099035	C₂²	1	4	yes	complemented
145	#19099035	C₂²	1	4	yes	complemented
146	#19099035	C₂²	1	4	yes	complemented
147	#19099035	C₂²	1	4	yes	complemented
148	#19099035	C₂²	1	4	yes	complemented
149	C₄×#11929624	C₂²	1	2	yes	complemented
150	C₄×#11929623	C₂²	1	4	yes	complemented
151	C₂×C₄×D₃₁₆	C₂²	1	1	yes	characteristic, complemented
152	C₂×D₄×Dic₇₉	C₂²	1	1	yes	characteristic
153	C₂×#14579123	C₂²	1	1	yes	characteristic, complemented
154	C₂×C₄×C₂²⋊D₇₉	C₂²	1	2	yes	complemented
155	C₂×C₄×C₂²⋊D₇₉	C₂²	1	4	yes	complemented
156	C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	1	2	yes	complemented
157	C₄×D₄×D₇₉	C₂²	1	4	yes	complemented
158	C₂×#14579119	C₂²	1	1	yes	characteristic, complemented
159	C₂×#14579118	C₂²	1	1	yes	characteristic, complemented
160	C₂²×(C₂×D₇₉)⋊C₄	C₂²	1	2	yes	complemented
161	C₂×C₂²⋊C₄×D₇₉	C₂²	1	2	yes	complemented
162	C₂×H(5,𝔽₂)×C₇₉	C₂²	1	1	yes	characteristic
163	#520×C₇₉	C₂²	1	2	yes	complemented
164	#520×C₇₉	C₂²	1	4	yes	complemented
165	#518×C₇₉	C₂²	1	1	yes	characteristic
166	#518×C₇₉	C₂²	1	4	yes	complemented
167	#518×C₇₉	C₂²	1	4	yes	complemented
168	C₄×#41×C₇₉	C₂²	1	2	yes	complemented
169	C₄×#41×C₇₉	C₂²	1	4	yes	complemented
170	C₂×C₄×D₄×C₇₉	C₂²	1	1	yes	characteristic
171	C₂×C₄×D₄×C₇₉	C₂²	1	4	yes	complemented
172	C₂×C₄×D₄×C₇₉	C₂²	1	4	yes	complemented
173	C₂⁴×D₇₉	C₂³	1	2	yes	—
174	#14579206	—	2	8	no	—
175	C₂×#11929624	C₂³	1	2	yes	—
176	C₂×#11929624	C₂³	1	8	yes	complemented
177	C₂×#11929624	C₂³	1	8	yes	complemented
178	C₂×#11929623	C₂³	1	4	yes	—
179	C₂²×Dic₁₅₈	C₂³	1	4	yes	complemented
180	C₂²×D₃₁₆	C₂³	1	1	yes	characteristic
181	C₂²×D₃₁₆	C₂³	1	4	yes	—
182	C₂²×D₃₁₆	C₂³	1	4	yes	—
183	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
184	C₂²×C₂²⋊D₇₉	C₂³	1	2	yes	—
185	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
186	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	—
187	C₂²×C₂²⋊D₇₉	C₂³	1	4	yes	complemented
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	C₂³×Dic₇₉	C₂³	1	2	yes	—
193	C₂²×C₄×D₇₉	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
195	C₂²×C₄×D₇₉	C₂³	1	2	yes	—
196	C₂²×C₄×D₇₉	C₂³	1	4	yes	complemented
197	#14579161	C₂³	1	4	yes	complemented
198	#14579160	C₂³	1	2	yes	complemented
199	#14579160	C₂³	1	2	yes	complemented
200	#14579160	C₂³	1	4	yes	complemented
201	#14579159	C₂³	1	2	yes	complemented
202	#14579158	C₂³	1	4	yes	—
203	#14579157	C₂³	1	4	yes	—
204	#14579157	C₂³	1	2	yes	complemented
205	#14579156	C₂³	1	4	yes	—
206	#14579156	C₂³	1	8	yes	—
207	#14579156	C₂³	1	4	yes	—
208	#14579156	C₂³	1	8	yes	complemented
209	#14579156	C₂³	1	8	yes	complemented
210	#14579156	C₂³	1	8	yes	complemented
211	#14579155	C₂³	1	4	yes	—
212	#14579155	C₂³	1	8	yes	—
213	#14579155	C₂³	1	4	yes	—
214	#14579155	C₂³	1	8	yes	complemented
215	#14579155	C₂³	1	4	yes	complemented
216	#14579155	C₂³	1	8	yes	complemented
217	#14579155	C₂³	1	4	yes	complemented
218	#14579154	C₂³	1	4	yes	complemented
219	#14579154	C₂³	1	8	yes	complemented
220	#14579154	C₂³	1	4	yes	complemented
221	#14579153	C₂³	1	4	yes	complemented
222	#14579153	C₂³	1	4	yes	complemented
223	#14579153	C₂³	1	4	yes	complemented
224	#14579152	C₂³	1	2	yes	complemented
225	#14579152	C₂³	1	2	yes	complemented
226	#14579152	C₂³	1	4	yes	complemented
227	#14579151	C₂³	1	4	yes	complemented
228	#14579151	C₂³	1	8	yes	complemented
229	#14579151	C₂³	1	4	yes	complemented
230	#14579150	C₂³	1	4	yes	—
231	#14579150	C₂³	1	2	yes	complemented
232	#14579149	C₂³	1	4	yes	—
233	#14579149	C₂³	1	8	yes	—
234	#14579149	C₂³	1	4	yes	—
235	#14579149	C₂³	1	4	yes	—
236	#14579149	C₂³	1	8	yes	complemented
237	#14579149	C₂³	1	8	yes	complemented
238	#14579148	C₂³	1	2	yes	complemented
239	#14579147	C₂³	1	4	yes	—
240	#14579147	C₂³	1	8	yes	—
241	#14579147	C₂³	1	4	yes	—
242	#14579147	C₂³	1	8	yes	complemented
243	#14579147	C₂³	1	8	yes	complemented
244	#14579147	C₂³	1	8	yes	complemented
245	#14579146	C₂³	1	4	yes	—
246	#14579146	C₂³	1	8	yes	—
247	#14579146	C₂³	1	4	yes	—
248	#14579146	C₂³	1	8	yes	complemented
249	#14579146	C₂³	1	8	yes	complemented
250	#14579146	C₂³	1	8	yes	complemented
251	#14579146	C₂³	1	8	yes	complemented
252	#14579145	C₂³	1	4	yes	—
253	#14579145	C₂³	1	8	yes	—
254	#14579144	C₂³	1	4	yes	—
255	#14579144	C₂³	1	8	yes	—
256	#14579144	C₂³	1	4	yes	—
257	#14579144	C₂³	1	8	yes	—
258	#14579144	C₂³	1	8	yes	complemented
259	#14579144	C₂³	1	4	yes	complemented
260	#14579144	C₂³	1	8	yes	complemented
261	#14579144	C₂³	1	4	yes	complemented
262	#14579144	C₂³	1	8	yes	complemented
263	#14579143	C₂³	1	4	yes	complemented
264	#14579143	C₂³	1	8	yes	complemented
265	#14579143	C₂³	1	4	yes	complemented
266	#14579143	C₂³	1	8	yes	complemented
267	#14579142	C₂³	1	4	yes	—
268	#14579142	C₂³	1	8	yes	complemented
269	#14579141	C₂³	1	2	yes	—
270	#14579141	C₂³	1	2	yes	—
271	#14579140	C₂³	1	4	yes	complemented
272	#14579140	C₂³	1	8	yes	complemented
273	#14579140	C₂³	1	4	yes	complemented
274	#14579140	C₂³	1	4	yes	complemented
275	#14579140	C₂³	1	8	yes	complemented
276	#14579139	C₂³	1	4	yes	complemented
277	#14579139	C₂³	1	8	yes	complemented
278	#14579139	C₂³	1	4	yes	complemented
279	#14579139	C₂³	1	8	yes	complemented
280	#14579138	C₂³	1	4	yes	—
281	#14579138	C₂³	1	8	yes	—
282	#14579138	C₂³	1	4	yes	—
283	#14579138	C₂³	1	8	yes	complemented
284	#14579138	C₂³	1	8	yes	complemented
285	#14579138	C₂³	1	8	yes	complemented
286	#14579138	C₂³	1	8	yes	complemented
287	#14579137	C₂³	1	2	yes	—
288	#14579137	C₂³	1	2	yes	—
289	#14579137	C₂³	1	4	yes	complemented
290	#14579136	C₂³	1	2	yes	—
291	#14579136	C₂³	1	2	yes	—
292	#14579136	C₂³	1	4	yes	—
293	#14579136	C₂³	1	4	yes	—
294	#14579135	C₂³	1	4	yes	—
295	#14579135	C₂³	1	8	yes	—
296	#14579135	C₂³	1	4	yes	—
297	#14579135	C₂³	1	8	yes	—
298	#14579135	C₂³	1	8	yes	—
299	#14579135	C₂³	1	4	yes	—
300	#14579135	C₂³	1	4	yes	—
301	#14579135	C₂³	1	4	yes	complemented
302	#14579135	C₂³	1	8	yes	complemented
303	#14579135	C₂³	1	8	yes	complemented
304	#14579134	C₂³	1	4	yes	—
305	#14579134	C₂³	1	8	yes	—
306	#14579134	C₂³	1	4	yes	—
307	#14579134	C₂³	1	8	yes	complemented
308	#14579134	C₂³	1	8	yes	complemented
309	#14579134	C₂³	1	8	yes	complemented
310	#14579134	C₂³	1	8	yes	complemented
311	#14579133	C₂³	1	8	yes	—
312	#14579133	C₂³	1	4	yes	—
313	#14579133	C₂³	1	4	yes	—
314	#14579133	C₂³	1	8	yes	—
315	#14579133	C₂³	1	8	yes	—
316	#14579133	C₂³	1	8	yes	complemented
317	#14579133	C₂³	1	8	yes	complemented
318	#14579132	C₂³	1	2	yes	—
319	#14579132	C₂³	1	2	yes	—
320	#14579132	C₂³	1	4	yes	complemented
321	#14579131	C₂³	1	4	yes	—
322	#14579131	C₂³	1	8	yes	—
323	#14579131	C₂³	1	8	yes	—
324	#14579131	C₂³	1	8	yes	—
325	#14579131	C₂³	1	8	yes	—
326	#14579130	C₂³	1	8	yes	—
327	#14579130	C₂³	1	8	yes	complemented
328	#14579129	C₂³	1	4	yes	—
329	#14579129	C₂³	1	8	yes	—
330	#14579129	C₂³	1	8	yes	—
331	#14579129	C₂³	1	8	yes	—
332	#14579129	C₂³	1	8	yes	complemented
333	C₄×Dic₁₅₈	C₂³	1	2	yes	complemented
334	C₄×Dic₁₅₈	C₂³	1	2	yes	complemented
335	C₄×Dic₁₅₈	C₂³	1	8	yes	complemented
336	C₄×Dic₁₅₈	C₂³	1	4	yes	complemented
337	C₄×Dic₁₅₈	C₂³	1	4	yes	complemented
338	#14579126	C₂³	1	4	yes	complemented
339	C₄×D₃₁₆	C₂³	1	4	yes	—
340	C₄×D₃₁₆	C₂³	1	4	yes	—
341	C₄×D₃₁₆	C₂³	1	4	yes	—
342	C₄×D₃₁₆	C₂³	1	4	yes	—
343	C₄×D₃₁₆	C₂³	1	2	yes	complemented
344	C₄×D₃₁₆	C₂³	1	2	yes	complemented
345	C₄×D₃₁₆	C₂³	1	8	yes	complemented
346	C₄×D₃₁₆	C₂³	1	8	yes	complemented
347	D₄×Dic₇₉	C₂³	1	4	yes	—
348	D₄×Dic₇₉	C₂³	1	4	yes	—
349	D₄×Dic₇₉	C₂³	1	4	yes	—
350	D₄×Dic₇₉	C₂³	1	4	yes	—
351	#14579123	C₂³	1	4	yes	—
352	#14579123	C₂³	1	4	yes	—
353	#14579123	C₂³	1	4	yes	complemented
354	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
355	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
356	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
357	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
358	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	—
359	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
360	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	—
361	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
362	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
363	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	complemented
364	C₄×C₂²⋊D₇₉	C₂³	1	4	yes	complemented
365	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
366	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
367	C₄×C₂²⋊D₇₉	C₂³	1	8	yes	complemented
368	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
369	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	—
370	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
371	(C₂²⋊D₇₉)⋊C₄	C₂³	1	8	yes	complemented
372	#14579120	C₂³	1	2	yes	—
373	#14579120	C₂³	1	8	yes	complemented
374	#14579119	C₂³	1	4	yes	—
375	#14579119	C₂³	1	4	yes	—
376	#14579119	C₂³	1	4	yes	complemented
377	#14579118	C₂³	1	2	yes	—
378	#14579118	C₂³	1	2	yes	—
379	#14579118	C₂³	1	2	yes	—
380	#14579118	C₂³	1	2	yes	—
381	#14579118	C₂³	1	4	yes	complemented
382	#14579118	C₂³	1	8	yes	complemented
383	#14579118	C₂³	1	8	yes	complemented
384	#14579118	C₂³	1	8	yes	complemented
385	#14579117	C₂³	1	8	yes	complemented
386	C₂×C₄⋊Dic₇₉	C₂³	1	1	yes	characteristic
387	C₂×C₄⋊Dic₇₉	C₂³	1	4	yes	complemented
388	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
389	C₂×Dic₇₉⋊C₄	C₂³	1	1	yes	characteristic
390	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	complemented
391	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	complemented
392	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	complemented
393	C₂×Dic₇₉⋊C₄	C₂³	1	4	yes	complemented
394	C₄⋊C₄×D₇₉	C₂³	1	4	yes	complemented
395	C₂×C₂²⋊Dic₇₉	C₂³	1	2	yes	—
396	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	—
397	C₂×C₂²⋊Dic₇₉	C₂³	1	4	yes	complemented
398	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
399	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
400	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	1	yes	characteristic
401	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
402	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	2	yes	—
403	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
404	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
405	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
406	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
407	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
408	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
409	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
410	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	—
411	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	complemented
412	C₂×(C₂×D₇₉)⋊C₄	C₂³	1	4	yes	complemented
413	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
414	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	—
415	C₂²⋊C₄×D₇₉	C₂³	1	8	yes	complemented
416	C₂×C₄×Dic₇₉	C₂³	1	1	yes	characteristic
417	C₂×C₄×Dic₇₉	C₂³	1	2	yes	—
418	C₂×C₄×Dic₇₉	C₂³	1	4	yes	complemented
419	C₄²×D₇₉	C₂³	1	4	yes	complemented
420	H(5,𝔽₂)×C₇₉	—	2	8	no	—
421	C₂×#41×C₇₉	C₂³	1	2	yes	—
422	C₂×#41×C₇₉	C₂³	1	4	yes	—
423	C₂²×D₄×C₇₉	C₂³	1	4	yes	—
424	C₂²×D₄×C₇₉	C₂³	1	4	yes	—
425	C₂²×D₄×C₇₉	C₂³	1	1	yes	characteristic
426	C₂³×C₄×C₇₉	C₂³	1	2	yes	—
427	C₂³×C₄×C₇₉	C₂³	1	4	yes	complemented
428	C₄×Q₈×C₇₉	C₂³	1	2	yes	complemented
429	C₄×Q₈×C₇₉	C₂³	1	2	yes	complemented
430	C₄×Q₈×C₇₉	C₂³	1	4	yes	complemented
431	C₄×D₄×C₇₉	C₂³	1	4	yes	—
432	C₄×D₄×C₇₉	C₂³	1	8	yes	—
433	C₄×D₄×C₇₉	C₂³	1	4	yes	—
434	C₄×D₄×C₇₉	C₂³	1	4	yes	—
435	C₄×D₄×C₇₉	C₂³	1	4	yes	—
436	C₄×D₄×C₇₉	C₂³	1	4	yes	—
437	C₄×D₄×C₇₉	C₂³	1	4	yes	—
438	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
439	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
440	C₄×D₄×C₇₉	C₂³	1	2	yes	complemented
441	C₄×D₄×C₇₉	C₂³	1	2	yes	complemented
442	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
443	C₄×D₄×C₇₉	C₂³	1	8	yes	complemented
444	C₄×D₄×C₇₉	C₂³	1	4	yes	complemented
445	#117×C₇₉	C₂³	1	2	yes	—
446	#117×C₇₉	C₂³	1	4	yes	complemented
447	#117×C₇₉	C₂³	1	8	yes	complemented
448	#117×C₇₉	C₂³	1	4	yes	complemented
449	C₂×C₄⋊C₄×C₇₉	C₂³	1	1	yes	characteristic
450	C₂×C₄⋊C₄×C₇₉	C₂³	1	4	yes	complemented
451	C₂×C₄⋊C₄×C₇₉	C₂³	1	4	yes	complemented
452	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	—
453	C₂×C₂²⋊C₄×C₇₉	C₂³	1	2	yes	—
454	C₂×C₂²⋊C₄×C₇₉	C₂³	1	4	yes	complemented
455	C₂×C₂²⋊C₄×C₇₉	C₂³	1	8	yes	complemented
456	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
457	C₂×C₄²×C₇₉	C₂³	1	4	yes	complemented
458	C₂×C₄²×C₇₉	C₂³	1	4	yes	complemented
459	C₂³×D₇₉	—	2	8	no	—
460	C₂³×D₇₉	—	8	2	no	—
461	C₂³×D₇₉	—	8	2	no	—
462	C₂³×D₇₉	C₂⁴	1	1	yes	characteristic
463	C₂³×D₇₉	C₂⁴	1	4	yes	—
464	C₂³×D₇₉	C₂⁴	1	4	yes	—
465	C₂³×D₇₉	C₂⁴	1	2	yes	—
466	C₂³×D₇₉	C₂⁴	1	4	yes	—
467	#11929624	—	2	8	no	—
468	#11929624	—	8	8	no	—
469	#11929624	—	8	8	no	—
470	#11929623	—	2	16	no	—
471	C₂×Dic₁₅₈	—	8	4	no	—
472	C₂×Dic₁₅₈	C₂⁴	1	2	yes	—
473	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
474	C₂×Dic₁₅₈	C₂⁴	1	8	yes	—
475	C₂×Dic₁₅₈	C₂⁴	1	4	yes	—
476	C₂×D₃₁₆	—	2	4	no	—
477	C₂×D₃₁₆	—	8	4	no	—
478	C₂×D₃₁₆	—	8	4	no	—
479	C₂×D₃₁₆	C₂⁴	1	2	yes	—
480	C₂×D₃₁₆	C₂⁴	1	4	yes	—
481	C₂×D₃₁₆	C₂⁴	1	8	yes	—
482	C₂×D₃₁₆	C₂⁴	1	8	yes	—
483	C₂×D₃₁₆	C₂⁴	1	4	yes	—
484	C₂×D₃₁₆	C₂⁴	1	4	yes	—
485	C₂×C₂²⋊D₇₉	—	2	16	no	—
486	C₂×C₂²⋊D₇₉	—	2	8	no	—
487	C₂×C₂²⋊D₇₉	—	8	4	no	—
488	C₂×C₂²⋊D₇₉	—	8	4	no	—
489	C₂×C₂²⋊D₇₉	—	8	4	no	—
490	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
491	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
492	C₂×C₂²⋊D₇₉	C₂⁴	1	8	yes	—
493	C₂×C₂²⋊D₇₉	C₂⁴	1	4	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	4	yes	—
498	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
499	C₂×C₂²⋊D₇₉	C₂⁴	1	4	yes	—
500	D₄×D₇₉	—	2	16	no	—
501	D₄×D₇₉	—	2	16	no	—
502	D₄×D₇₉	—	2	16	no	—
503	C₂²×Dic₇₉	—	8	2	no	—
504	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
505	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
506	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
507	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
508	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
509	C₂²×Dic₇₉	C₂⁴	1	2	yes	—
510	C₂²×Dic₇₉	C₂⁴	1	1	yes	characteristic
511	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
512	C₂²×Dic₇₉	C₂⁴	1	4	yes	—
513	C₂×C₄×D₇₉	—	2	4	no	—
514	C₂×C₄×D₇₉	—	8	2	no	—
515	C₂×C₄×D₇₉	—	8	2	no	—
516	C₂×C₄×D₇₉	—	8	4	no	—
517	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
518	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
519	C₂×C₄×D₇₉	C₂⁴	1	2	yes	—
520	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
521	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
522	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
523	C₂×C₄×D₇₉	C₂⁴	1	8	yes	—
524	C₂×C₄×D₇₉	C₂⁴	1	4	yes	—
525	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
526	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
527	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
528	C₄⋊Dic₇₉	C₂⁴	1	8	yes	—
529	C₄⋊Dic₇₉	C₂⁴	1	2	yes	—
530	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
531	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
532	C₄⋊Dic₇₉	C₂⁴	1	4	yes	—
533	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
534	Dic₇₉⋊C₄	C₂⁴	1	2	yes	—
535	Dic₇₉⋊C₄	C₂⁴	1	2	yes	—
536	Dic₇₉⋊C₄	C₂⁴	1	2	yes	—
537	Dic₇₉⋊C₄	C₂⁴	1	2	yes	—
538	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
539	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
540	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
541	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
542	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
543	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
544	Dic₇₉⋊C₄	C₂⁴	1	8	yes	—
545	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
546	Dic₇₉⋊C₄	C₂⁴	1	4	yes	—
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	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
552	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
553	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
554	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
555	C₂²⋊Dic₇₉	C₂⁴	1	8	yes	—
556	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
557	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
558	C₂²⋊Dic₇₉	C₂⁴	1	4	yes	—
559	(C₂×D₇₉)⋊C₄	C₂⁴	1	2	yes	—
560	(C₂×D₇₉)⋊C₄	C₂⁴	1	2	yes	—
561	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
562	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
563	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
564	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
565	(C₂×D₇₉)⋊C₄	C₂⁴	1	1	yes	characteristic
566	(C₂×D₇₉)⋊C₄	C₂⁴	1	1	yes	characteristic
567	(C₂×D₇₉)⋊C₄	C₂⁴	1	1	yes	characteristic
568	(C₂×D₇₉)⋊C₄	C₂⁴	1	1	yes	characteristic
569	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
570	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
571	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
572	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
573	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
574	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
575	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
576	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
577	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
578	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
579	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
580	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
581	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
582	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
583	(C₂×D₇₉)⋊C₄	C₂⁴	1	8	yes	—
584	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
585	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	yes	—
586	(C₂×D₇₉)⋊C₄	C₂⁴	1	4	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	2	yes	—
591	C₄×Dic₇₉	C₂⁴	1	2	yes	—
592	C₄×Dic₇₉	C₂⁴	1	8	yes	—
593	C₄×Dic₇₉	C₂⁴	1	8	yes	—
594	C₂⁴×C₇₉	C₂⁴	1	4	yes	—
595	C₂⁴×C₇₉	C₂⁴	1	2	yes	—
596	#41×C₇₉	—	2	16	no	—
597	#41×C₇₉	—	2	8	no	—
598	C₂×Q₈×C₇₉	C₂⁴	1	2	yes	—
599	C₂×D₄×C₇₉	—	2	16	no	—
600	C₂×D₄×C₇₉	—	2	16	no	—
601	C₂×D₄×C₇₉	#41	1	8	yes	complemented
602	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
603	C₂×D₄×C₇₉	C₂⁴	1	8	yes	—
604	C₂×D₄×C₇₉	C₂⁴	1	2	yes	—
605	C₂×D₄×C₇₉	C₂⁴	1	4	yes	—
606	C₂²×C₄×C₇₉	—	8	2	no	—
607	C₂²×C₄×C₇₉	—	8	4	no	—
608	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
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	8	yes	—
613	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
614	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
615	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
616	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
617	C₂²×C₄×C₇₉	C₂⁴	1	2	yes	—
618	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
619	C₂²×C₄×C₇₉	C₂⁴	1	4	yes	—
620	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
621	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
622	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
623	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
624	C₄⋊C₄×C₇₉	C₂⁴	1	8	yes	—
625	C₄⋊C₄×C₇₉	C₂⁴	1	2	yes	—
626	C₄⋊C₄×C₇₉	C₂⁴	1	4	yes	—
627	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
628	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
629	C₂²⋊C₄×C₇₉	C₂⁴	1	8	yes	—
630	C₂²⋊C₄×C₇₉	C₂⁴	1	4	yes	—
631	C₂²⋊C₄×C₇₉	C₂⁴	1	4	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	C₄²×C₇₉	C₂⁴	1	8	yes	—
639	C₂³×C₇₉	—	2	8	no	—
640	C₂³×C₇₉	—	4	2	no	—
641	C₂³×C₇₉	—	4	2	no	—
642	C₂³×C₇₉	—	4	4	no	—
643	C₂³×C₇₉	—	4	4	no	—
644	C₂³×C₇₉	C₂×#41	1	8	yes	—
645	C₂³×C₇₉	C₂⁵	1	4	yes	—
646	C₂³×C₇₉	C₂⁵	1	4	yes	—
647	C₂³×C₇₉	C₂⁵	1	1	yes	characteristic
648	C₂²×D₇₉	—	2	2	no	—
649	C₂²×D₇₉	—	2	4	no	—
650	C₂²×D₇₉	—	2	8	no	—
651	C₂²×D₇₉	—	2	8	no	—
652	C₂²×D₇₉	—	2	8	no	—
653	C₂²×D₇₉	—	4	2	no	—
654	C₂²×D₇₉	—	4	2	no	—
655	C₂²×D₇₉	—	4	1	no	—
656	C₂²×D₇₉	—	4	1	no	—
657	C₂²×D₇₉	—	4	4	no	—
658	C₂²×D₇₉	—	4	4	no	—
659	C₂²×D₇₉	—	4	4	no	—
660	C₂²×D₇₉	—	4	4	no	—
661	C₂²×D₇₉	—	4	4	no	—
662	C₂²×D₇₉	—	4	4	no	—
663	C₂²×D₇₉	—	8	16	no	—
664	C₂²×D₇₉	C₂⁵	1	1	yes	characteristic
665	C₂²×D₇₉	C₂⁵	1	1	yes	characteristic
666	C₂²×D₇₉	C₂⁵	1	4	yes	—
667	C₂²×D₇₉	C₂⁵	1	4	yes	—
668	Q₈×C₇₉	—	2	4	no	—
669	D₄×C₇₉	—	2	16	no	—
670	D₄×C₇₉	—	2	8	no	—
671	D₄×C₇₉	—	2	4	no	—
672	D₄×C₇₉	C₂×#41	1	16	yes	—
673	C₂×C₄×C₇₉	—	2	8	no	—
674	C₂×C₄×C₇₉	—	2	8	no	—
675	C₂×C₄×C₇₉	—	4	1	no	—
676	C₂×C₄×C₇₉	—	4	2	no	—
677	C₂×C₄×C₇₉	—	4	4	no	—
678	C₂×C₄×C₇₉	—	4	4	no	—
679	C₂×C₄×C₇₉	—	4	4	no	—
680	C₂×C₄×C₇₉	—	4	4	no	—
681	C₂×C₄×C₇₉	—	4	8	no	—
682	C₂×C₄×C₇₉	—	4	4	no	—
683	C₂×C₄×C₇₉	—	4	1	no	—
684	C₂×C₄×C₇₉	—	4	4	no	—
685	C₂×C₄×C₇₉	C₂×#41	1	4	yes	—
686	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
687	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
688	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
689	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
690	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
691	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
692	C₂×C₄×C₇₉	C₂⁵	1	4	yes	—
693	C₂×C₄×C₇₉	C₂⁵	1	2	yes	—
694	C₂²⋊D₇₉	—	2	16	no	—
695	C₂²⋊D₇₉	—	2	16	no	—
696	C₂²⋊D₇₉	—	2	8	no	—
697	C₂²⋊D₇₉	—	4	4	no	—
698	C₂²⋊D₇₉	—	4	4	no	—
699	C₂²⋊D₇₉	—	4	4	no	—
700	C₂²⋊D₇₉	—	4	8	no	—
701	C₂²⋊D₇₉	—	4	8	no	—
702	C₂²⋊D₇₉	—	4	8	no	—
703	C₂²⋊D₇₉	—	4	4	no	—
704	C₂×Dic₇₉	—	2	2	no	—
705	C₂×Dic₇₉	—	2	8	no	—
706	C₂×Dic₇₉	—	4	1	no	—
707	C₂×Dic₇₉	—	4	2	no	—
708	C₂×Dic₇₉	—	4	4	no	—
709	C₂×Dic₇₉	—	4	1	no	—
710	C₂×Dic₇₉	—	4	4	no	—
711	C₂×Dic₇₉	—	4	4	no	—
712	C₂×Dic₇₉	—	4	4	no	—
713	C₂×Dic₇₉	C₂⁵	1	4	yes	—
714	C₂×Dic₇₉	C₂⁵	1	4	yes	—
715	C₂×Dic₇₉	C₂⁵	1	2	yes	—
716	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
717	C₂×Dic₇₉	C₂⁵	1	4	yes	—
718	C₂×Dic₇₉	C₂⁵	1	1	yes	characteristic
719	C₂×Dic₇₉	C₂⁵	1	2	yes	—
720	C₂×Dic₇₉	C₂⁵	1	4	yes	—
721	D₃₁₆	—	2	8	no	—
722	D₃₁₆	—	2	4	no	—
723	D₃₁₆	—	4	4	no	—
724	D₃₁₆	—	4	4	no	—
725	D₃₁₆	—	4	8	no	—
726	D₃₁₆	—	4	8	no	—
727	C₄×D₇₉	—	2	4	no	—
728	C₄×D₇₉	—	2	4	no	—
729	C₄×D₇₉	—	2	8	no	—
730	C₄×D₇₉	—	4	4	no	—
731	C₄×D₇₉	—	4	8	no	—
732	C₄×D₇₉	—	4	8	no	—
733	C₄×D₇₉	—	4	8	no	—
734	C₄×D₇₉	—	4	4	no	—
735	Dic₁₅₈	—	2	4	no	—
736	Dic₁₅₈	—	4	4	no	—
737	Dic₁₅₈	—	4	8	no	—
738	Dic₁₅₈	—	4	4	no	—
739	C₂²×C₇₉	—	2	1	no	—
740	C₂²×C₇₉	—	2	4	no	—
741	C₂²×C₇₉	—	2	1	no	—
742	C₂²×C₇₉	—	2	4	no	—
743	C₂²×C₇₉	—	2	4	no	—
744	C₂²×C₇₉	—	2	4	no	—
745	C₂²×C₇₉	—	2	4	no	—
746	C₂²×C₇₉	—	4	8	no	—
747	C₂²×C₇₉	—	8	8	no	—
748	C₂²×C₇₉	C₂²×#41	1	8	yes	—
749	C₂²×C₇₉	C₂²×#41	1	2	yes	—
750	C₂²×C₇₉	C₂⁶	1	1	yes	characteristic
751	C₂×D₇₉	—	2	4	no	—
752	C₂×D₇₉	—	2	4	no	—
753	C₂×D₇₉	—	2	1	no	—
754	C₂×D₇₉	—	2	1	no	—
755	C₂×D₇₉	—	2	1	no	—
756	C₂×D₇₉	—	2	1	no	—
757	C₂×D₇₉	—	2	4	no	—
758	C₂×D₇₉	—	2	4	no	—
759	C₂×D₇₉	—	2	4	no	—
760	C₂×D₇₉	—	2	4	no	—
761	C₂×D₇₉	—	2	1	no	—
762	C₂×D₇₉	—	2	1	no	—
763	C₂×D₇₉	—	4	8	no	—
764	C₂×D₇₉	—	4	4	no	—
765	C₂×D₇₉	—	8	8	no	—
766	C₂×D₇₉	—	8	8	no	—
767	C₂×D₇₉	—	8	8	no	—
768	C₄×C₇₉	—	2	4	no	—
769	C₄×C₇₉	—	2	1	no	—
770	C₄×C₇₉	—	2	4	no	—
771	C₄×C₇₉	—	2	1	no	—
772	C₄×C₇₉	—	2	4	no	—
773	C₄×C₇₉	—	2	4	no	—
774	C₄×C₇₉	—	2	2	no	—
775	C₄×C₇₉	C₂²×#41	1	4	yes	—
776	Dic₇₉	—	2	2	no	—
777	Dic₇₉	—	2	4	no	—
778	Dic₇₉	—	2	1	no	—
779	Dic₇₉	—	2	4	no	—
780	Dic₇₉	—	2	4	no	—
781	Dic₇₉	—	2	2	no	—
782	Dic₇₉	—	2	4	no	—
783	Dic₇₉	—	2	1	no	—
784	#62846	—	79	1	no	maximal, Sylow
785	C₂×C₇₉	—	2	2	no	—
786	C₂×C₇₉	—	2	8	no	—
787	C₂×C₇₉	—	4	4	no	—
788	C₂×C₇₉	C₂³×#41	1	1	yes	characteristic
789	C₂×C₇₉	H(7,𝔽₂)	1	1	yes	characteristic
790	C₂×C₇₉	H(7,𝔽₂)	1	1	yes	characteristic
791	D₇₉	—	4	4	no	—
792	D₇₉	—	4	1	no	—
793	D₇₉	—	4	1	no	—
794	D₇₉	—	4	4	no	—
795	#3521	—	79	4	no	—
796	#3521	—	79	4	no	—
797	#3519	—	79	4	no	—
798	#3519	—	79	4	no	—
799	#3514	—	79	4	no	—
800	#3514	—	79	4	no	—
801	#3513	—	79	4	no	—
802	#3513	—	79	4	no	—
803	#3506	—	79	2	no	—
804	#3505	—	79	4	no	—
805	#3501	—	79	1	no	—
806	#3496	—	79	1	no	—
807	#3493	—	79	2	no	—
808	#3490	—	79	4	no	—
809	#3484	—	79	1	no	—
810	#3484	—	79	1	no	—
811	#3460	—	79	2	no	—
812	#3459	—	79	4	no	—
813	#3455	—	79	2	no	—
814	C₂×#538	—	79	4	no	—
815	C₄×H(5,𝔽₂)	—	79	1	no	—
816	C₄×H(5,𝔽₂)	D₇₉	1	1	yes	characteristic, complemented
817	C₂×#518	—	79	1	no	—
818	C₇₉	#62846	1	1	yes	characteristic, complemented, Sylow
819	C₂×H(5,𝔽₂)	—	79	1	no	—
820	C₂×H(5,𝔽₂)	C₂×D₇₉	1	1	yes	characteristic
821	C₂³×D₄	—	79	1	no	—
822	#559	—	79	4	no	—
823	#559	—	79	4	no	—
824	#556	—	79	4	no	—
825	#556	—	79	4	no	—
826	#556	—	79	4	no	—
827	#555	—	79	4	no	—
828	#555	—	79	4	no	—
829	#555	—	79	4	no	—
830	#554	—	79	4	no	—
831	#554	—	79	4	no	—
832	#554	—	79	4	no	—
833	#553	—	79	8	no	—
834	#553	—	79	8	no	—
835	#553	—	79	8	no	—
836	#553	—	79	4	no	—
837	#553	—	79	4	no	—
838	#553	—	79	4	no	—
839	#553	—	79	4	no	—
840	#552	—	79	4	no	—
841	#552	—	79	8	no	—
842	#552	—	79	4	no	—
843	#551	—	79	8	no	—
844	#551	—	79	8	no	—
845	#551	—	79	8	no	—
846	#551	—	79	8	no	—
847	#551	—	79	8	no	—
848	#551	—	79	8	no	—
849	#550	—	79	4	no	—
850	D₄×Q₈	—	79	4	no	—
851	#548	—	79	8	no	—
852	#547	—	79	4	no	—
853	#547	—	79	4	no	—
854	#546	—	79	4	no	—
855	#546	—	79	4	no	—
856	#546	—	79	4	no	—
857	#546	—	79	4	no	—
858	#546	—	79	4	no	—
859	#546	—	79	4	no	—
860	#546	—	79	8	no	—
861	#546	—	79	8	no	—
862	#546	—	79	8	no	—
863	#546	—	79	8	no	—
864	#546	—	79	8	no	—
865	D₄²	—	79	4	no	—
866	D₄²	—	79	4	no	—
867	D₄²	—	79	4	no	—
868	D₄²	—	79	4	no	—
869	D₄²	—	79	4	no	—
870	#544	—	79	2	no	—
871	#543	—	79	4	no	—
872	#542	—	79	2	no	—
873	#542	—	79	2	no	—
874	#542	—	79	4	no	—
875	#542	—	79	2	no	—
876	#542	—	79	2	no	—
877	#542	—	79	4	no	—
878	#541	—	79	2	no	—
879	#541	—	79	2	no	—
880	#540	—	79	2	no	—
881	#540	—	79	2	no	—
882	#540	—	79	4	no	—
883	#540	—	79	4	no	—
884	#539	—	79	4	no	—
885	#539	—	79	4	no	—
886	#539	—	79	8	no	—
887	#539	—	79	8	no	—
888	#538	—	79	4	no	—
889	#538	—	79	8	no	—
890	#538	—	79	8	no	—
891	#538	—	79	8	no	—
892	#538	—	79	4	no	—
893	#538	—	79	8	no	—
894	#538	—	79	8	no	—
895	#538	—	79	8	no	—
896	#538	—	79	8	no	—
897	#538	—	79	8	no	—
898	#538	—	79	8	no	—
899	#537	—	79	2	no	—
900	#535	—	79	2	no	—
901	#535	—	79	2	no	—
902	#534	—	79	4	no	—
903	#534	—	79	4	no	—
904	#534	—	79	4	no	—
905	#533	—	79	2	no	—
906	#532	—	79	2	no	—
907	#532	—	79	4	no	—
908	#532	—	79	4	no	—
909	#529	—	79	4	no	—
910	#529	—	79	8	no	—
911	#529	—	79	8	no	—
912	#529	—	79	4	no	—
913	#529	—	79	4	no	—
914	#529	—	79	4	no	—
915	#529	—	79	4	no	—
916	#529	—	79	8	no	—
917	#529	—	79	4	no	—
918	C₂×#126	—	79	4	no	—
919	C₂×#126	—	79	4	no	—
920	C₂×#124	—	79	4	no	—
921	C₂×#124	—	79	4	no	—
922	#525	—	79	2	no	—
923	#525	—	79	8	no	—
924	#525	—	79	8	no	—
925	#525	—	79	8	no	—
926	#525	—	79	8	no	—
927	#525	—	79	2	no	—
928	C₂×#123	—	79	4	no	—
929	C₂×#123	—	79	4	no	—
930	C₂×C₂²⋊Q₈	—	79	4	no	—
931	C₂×#121	—	79	4	no	—
932	C₂×#121	—	79	4	no	—
933	C₂×#121	—	79	4	no	—
934	C₂×#120	—	79	4	no	—
935	C₂×#120	—	79	4	no	—
936	#520	—	79	4	no	—
937	#520	—	79	2	no	—
938	#520	C₂×D₇₉	1	2	yes	complemented
939	#520	C₂×D₇₉	1	4	yes	complemented
940	#518	—	79	1	no	—
941	#518	—	79	4	no	—
942	#518	—	79	4	no	—
943	#518	—	79	4	no	—
944	#518	—	79	4	no	—
945	#518	—	79	4	no	—
946	#518	—	79	4	no	—
947	#518	C₂×D₇₉	1	1	yes	characteristic
948	#518	C₂×D₇₉	1	4	yes	complemented
949	#518	C₂×D₇₉	1	4	yes	complemented
950	C₄×#41	—	79	4	no	—
951	C₄×#41	—	79	2	no	—
952	C₄×#41	C₂×D₇₉	1	2	yes	complemented
953	C₄×#41	C₂×D₇₉	1	4	yes	complemented
954	C₂×C₄×D₄	—	79	1	no	—
955	C₂×C₄×D₄	—	79	2	no	—
956	C₂×C₄×D₄	—	79	4	no	—
957	C₂×C₄×D₄	—	79	4	no	—
958	C₂×C₄×D₄	—	79	1	no	—
959	C₂×C₄×D₄	—	79	2	no	—
960	C₂×C₄×D₄	—	79	1	no	—
961	C₂×C₄×D₄	C₂×D₇₉	1	1	yes	characteristic
962	C₂×C₄×D₄	C₂×D₇₉	1	4	yes	complemented
963	C₂×C₄×D₄	C₂×D₇₉	1	4	yes	complemented
964	C₂×#117	—	79	1	no	—
965	C₂×#117	—	79	1	no	—
966	C₂²×C₂²⋊C₄	—	79	2	no	—
967	C₂²×C₂²⋊C₄	—	79	2	no	—
968	C₂⁵	—	79	2	no	—
969	H(5,𝔽₂)	—	2	8	no	—
970	H(5,𝔽₂)	—	158	8	no	—
971	C₂×#41	—	79	4	no	—
972	C₂×#41	—	79	8	no	—
973	C₂×#41	—	79	8	no	—
974	C₂×#41	—	79	2	no	—
975	C₂×#41	C₂²×D₇₉	1	2	yes	—
976	C₂×#41	C₂²×D₇₉	1	4	yes	—
977	C₂²×Q₈	—	79	4	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	4	no	—
983	C₂²×D₄	—	79	4	no	—
984	C₂²×D₄	—	79	4	no	—
985	C₂²×D₄	—	79	4	no	—
986	C₂²×D₄	—	79	4	no	—
987	C₂²×D₄	—	79	4	no	—
988	C₂²×D₄	—	79	1	no	—
989	C₂²×D₄	—	158	8	no	—
990	C₂²×D₄	C₂²×D₇₉	1	4	yes	—
991	C₂²×D₄	C₂²×D₇₉	1	4	yes	—
992	C₂²×D₄	C₂²×D₇₉	1	1	yes	characteristic
993	C₂³×C₄	—	79	2	no	—
994	C₂³×C₄	—	79	2	no	—
995	C₂³×C₄	—	79	2	no	—
996	C₂³×C₄	—	79	4	no	—
997	C₂³×C₄	—	79	1	no	—
998	C₂³×C₄	C₂²×D₇₉	1	2	yes	—
999	C₂³×C₄	C₂²×D₇₉	1	4	yes	complemented
1000	C₄⋊Q₈	—	79	2	no	—
1001	C₄⋊Q₈	—	79	4	no	—
1002	C₄⋊Q₈	—	79	2	no	—
1003	C₄⋊Q₈	—	79	2	no	—
1004	C₄⋊Q₈	—	79	4	no	—
1005	#127	—	79	4	no	—
1006	#127	—	79	2	no	—
1007	#127	—	79	4	no	—
1008	#126	—	79	4	no	—
1009	#126	—	79	8	no	—
1010	#126	—	79	8	no	—
1011	#126	—	79	8	no	—
1012	#126	—	79	8	no	—
1013	#126	—	79	4	no	—
1014	#126	—	79	4	no	—
1015	#126	—	79	8	no	—
1016	#126	—	79	4	no	—
1017	#126	—	79	4	no	—
1018	#126	—	79	8	no	—
1019	#126	—	79	8	no	—
1020	#126	—	79	8	no	—
1021	#126	—	79	4	no	—
1022	#126	—	79	4	no	—
1023	#126	—	79	4	no	—
1024	#125	—	79	4	no	—
1025	#125	—	79	8	no	—
1026	#125	—	79	4	no	—
1027	#125	—	79	4	no	—
1028	#125	—	79	2	no	—
1029	#125	—	79	2	no	—
1030	#125	—	79	4	no	—
1031	#125	—	79	4	no	—
1032	#125	—	79	4	no	—
1033	#124	—	79	4	no	—
1034	#124	—	79	2	no	—
1035	#124	—	79	2	no	—
1036	#124	—	79	4	no	—
1037	#124	—	79	8	no	—
1038	#124	—	79	8	no	—
1039	#124	—	79	8	no	—
1040	#124	—	79	8	no	—
1041	#124	—	79	4	no	—
1042	#124	—	79	4	no	—
1043	#124	—	79	8	no	—
1044	#124	—	79	8	no	—
1045	#124	—	79	8	no	—
1046	#124	—	79	4	no	—
1047	#124	—	79	4	no	—
1048	#123	—	79	4	no	—
1049	#123	—	79	8	no	—
1050	#123	—	79	4	no	—
1051	#123	—	79	8	no	—
1052	#123	—	79	8	no	—
1053	#123	—	79	8	no	—
1054	#123	—	79	4	no	—
1055	#123	—	79	8	no	—
1056	#123	—	79	8	no	—
1057	#123	—	79	4	no	—
1058	#123	—	79	4	no	—
1059	#123	—	79	4	no	—
1060	#123	—	79	8	no	—
1061	#123	—	79	8	no	—
1062	#123	—	79	8	no	—
1063	#123	—	79	8	no	—
1064	#123	—	79	8	no	—
1065	#123	—	79	4	no	—
1066	#123	—	79	4	no	—
1067	#123	—	79	4	no	—
1068	#123	—	79	8	no	—
1069	#123	—	79	8	no	—
1070	#123	—	79	8	no	—
1071	#123	—	79	4	no	—
1072	C₂²⋊Q₈	—	79	2	no	—
1073	C₂²⋊Q₈	—	79	2	no	—
1074	C₂²⋊Q₈	—	79	4	no	—
1075	C₂²⋊Q₈	—	79	4	no	—
1076	C₂²⋊Q₈	—	79	8	no	—
1077	C₂²⋊Q₈	—	79	4	no	—
1078	C₂²⋊Q₈	—	79	8	no	—
1079	C₂²⋊Q₈	—	79	4	no	—
1080	C₂²⋊Q₈	—	79	4	no	—
1081	C₂²⋊Q₈	—	79	8	no	—
1082	C₂²⋊Q₈	—	79	2	no	—
1083	C₂²⋊Q₈	—	79	2	no	—
1084	C₂²⋊Q₈	—	79	8	no	—
1085	C₂²⋊Q₈	—	79	4	no	—
1086	C₂²⋊Q₈	—	79	4	no	—
1087	C₂²⋊Q₈	—	79	8	no	—
1088	C₂²⋊Q₈	—	79	8	no	—
1089	C₂²⋊Q₈	—	79	8	no	—
1090	C₂²⋊Q₈	—	79	4	no	—
1091	C₂²⋊Q₈	—	79	8	no	—
1092	C₂²⋊Q₈	—	79	8	no	—
1093	#121	—	79	4	no	—
1094	#121	—	79	8	no	—
1095	#121	—	79	8	no	—
1096	#121	—	79	8	no	—
1097	#121	—	79	4	no	—
1098	#121	—	79	8	no	—
1099	#121	—	79	2	no	—
1100	#121	—	79	2	no	—
1101	#121	—	79	8	no	—
1102	#121	—	79	4	no	—
1103	#121	—	79	4	no	—
1104	#121	—	79	8	no	—
1105	#121	—	79	8	no	—
1106	#121	—	79	8	no	—
1107	#121	—	79	8	no	—
1108	#121	—	79	8	no	—
1109	#121	—	79	4	no	—
1110	#121	—	79	4	no	—
1111	#121	—	79	4	no	—
1112	#121	—	79	4	no	—
1113	#121	—	79	2	no	—
1114	#121	—	79	2	no	—
1115	#121	—	79	4	no	—
1116	#121	—	79	4	no	—
1117	#121	—	79	4	no	—
1118	#121	—	79	8	no	—
1119	#121	—	79	8	no	—
1120	#121	—	79	8	no	—
1121	#121	—	79	8	no	—
1122	#121	—	79	8	no	—
1123	#121	—	79	4	no	—
1124	#120	—	79	8	no	—
1125	#120	—	79	8	no	—
1126	#120	—	79	4	no	—
1127	#120	—	79	8	no	—
1128	#120	—	79	8	no	—
1129	#120	—	79	8	no	—
1130	#120	—	79	8	no	—
1131	#120	—	79	4	no	—
1132	#120	—	79	8	no	—
1133	#120	—	79	8	no	—
1134	#120	—	79	8	no	—
1135	#120	—	79	8	no	—
1136	C₄×Q₈	—	79	4	no	—
1137	C₄×Q₈	—	79	2	no	—
1138	C₄×Q₈	—	79	2	no	—
1139	C₄×Q₈	—	79	8	no	—
1140	C₄×Q₈	—	79	4	no	—
1141	C₄×Q₈	—	79	4	no	—
1142	C₄×Q₈	C₂²×D₇₉	1	2	yes	complemented
1143	C₄×Q₈	C₂²×D₇₉	1	2	yes	complemented
1144	C₄×Q₈	C₂²×D₇₉	1	4	yes	complemented
1145	C₄×D₄	—	79	4	no	—
1146	C₄×D₄	—	79	4	no	—
1147	C₄×D₄	—	79	4	no	—
1148	C₄×D₄	—	79	4	no	—
1149	C₄×D₄	—	79	4	no	—
1150	C₄×D₄	—	79	8	no	—
1151	C₄×D₄	—	79	8	no	—
1152	C₄×D₄	—	79	8	no	—
1153	C₄×D₄	—	79	8	no	—
1154	C₄×D₄	—	79	8	no	—
1155	C₄×D₄	—	79	4	no	—
1156	C₄×D₄	—	79	8	no	—
1157	C₄×D₄	—	79	8	no	—
1158	C₄×D₄	—	79	4	no	—
1159	C₄×D₄	—	79	4	no	—
1160	C₄×D₄	—	79	8	no	—
1161	C₄×D₄	—	79	4	no	—
1162	C₄×D₄	—	79	4	no	—
1163	C₄×D₄	—	79	4	no	—
1164	C₄×D₄	—	79	4	no	—
1165	C₄×D₄	—	79	4	no	—
1166	C₄×D₄	—	79	8	no	—
1167	C₄×D₄	—	79	8	no	—
1168	C₄×D₄	—	79	8	no	—
1169	C₄×D₄	—	79	8	no	—
1170	C₄×D₄	—	79	2	no	—
1171	C₄×D₄	—	79	4	no	—
1172	C₄×D₄	—	79	4	no	—
1173	C₄×D₄	—	79	2	no	—
1174	C₄×D₄	—	79	8	no	—
1175	C₄×D₄	—	79	4	no	—
1176	C₄×D₄	—	79	4	no	—
1177	C₄×D₄	—	79	8	no	—
1178	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1179	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1180	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1181	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1182	C₄×D₄	C₂²×D₇₉	1	8	yes	—
1183	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1184	C₄×D₄	C₂²×D₇₉	1	4	yes	—
1185	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1186	C₄×D₄	C₂²×D₇₉	1	2	yes	complemented
1187	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1188	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1189	C₄×D₄	C₂²×D₇₉	1	4	yes	complemented
1190	C₄×D₄	C₂²×D₇₉	1	2	yes	complemented
1191	C₄×D₄	C₂²×D₇₉	1	8	yes	complemented
1192	#117	—	79	2	no	—
1193	#117	—	79	8	no	—
1194	#117	—	79	4	no	—
1195	#117	—	79	4	no	—
1196	#117	—	79	4	no	—
1197	#117	—	79	8	no	—
1198	#117	—	79	2	no	—
1199	#117	—	79	2	no	—
1200	#117	—	79	2	no	—
1201	#117	—	79	2	no	—
1202	#117	—	79	4	no	—
1203	#117	—	79	8	no	—
1204	#117	—	79	8	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	8	yes	complemented
1209	#117	C₂²×D₇₉	1	4	yes	complemented
1210	C₂×C₄⋊C₄	—	79	1	no	—
1211	C₂×C₄⋊C₄	—	79	1	no	—
1212	C₂×C₄⋊C₄	—	79	1	no	—
1213	C₂×C₄⋊C₄	—	79	4	no	—
1214	C₂×C₄⋊C₄	—	79	4	no	—
1215	C₂×C₄⋊C₄	—	79	4	no	—
1216	C₂×C₄⋊C₄	—	79	4	no	—
1217	C₂×C₄⋊C₄	—	79	4	no	—
1218	C₂×C₄⋊C₄	—	79	4	no	—
1219	C₂×C₄⋊C₄	C₂²×D₇₉	1	1	yes	characteristic
1220	C₂×C₄⋊C₄	C₂²×D₇₉	1	4	yes	complemented
1221	C₂×C₄⋊C₄	C₂²×D₇₉	1	4	yes	complemented
1222	C₂×C₂²⋊C₄	—	79	2	no	—
1223	C₂×C₂²⋊C₄	—	79	4	no	—
1224	C₂×C₂²⋊C₄	—	79	4	no	—
1225	C₂×C₂²⋊C₄	—	79	1	no	—
1226	C₂×C₂²⋊C₄	—	79	2	no	—
1227	C₂×C₂²⋊C₄	—	79	1	no	—
1228	C₂×C₂²⋊C₄	—	79	2	no	—
1229	C₂×C₂²⋊C₄	—	79	2	no	—
1230	C₂×C₂²⋊C₄	—	79	4	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	4	no	—
1235	C₂×C₂²⋊C₄	—	79	4	no	—
1236	C₂×C₂²⋊C₄	—	79	4	no	—
1237	C₂×C₂²⋊C₄	—	79	4	no	—
1238	C₂×C₂²⋊C₄	—	79	4	no	—
1239	C₂×C₂²⋊C₄	—	79	4	no	—
1240	C₂×C₂²⋊C₄	—	79	8	no	—
1241	C₂×C₂²⋊C₄	—	79	8	no	—
1242	C₂×C₂²⋊C₄	—	79	8	no	—
1243	C₂×C₂²⋊C₄	C₂²×D₇₉	1	2	yes	—
1244	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	—
1245	C₂×C₂²⋊C₄	C₂²×D₇₉	1	4	yes	complemented
1246	C₂×C₂²⋊C₄	C₂²×D₇₉	1	8	yes	complemented
1247	C₂×C₄²	—	79	2	no	—
1248	C₂×C₄²	—	79	1	no	—
1249	C₂×C₄²	—	79	4	no	—
1250	C₂×C₄²	—	79	4	no	—
1251	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
1252	C₂×C₄²	C₂²×D₇₉	1	4	yes	complemented
1253	C₂×C₄²	C₂²×D₇₉	1	4	yes	complemented
1254	C₂⁴	—	79	4	no	—
1255	C₂⁴	—	79	4	no	—
1256	C₂⁴	—	79	1	no	—
1257	C₂⁴	—	79	4	no	—
1258	C₂⁴	—	79	2	no	—
1259	C₂⁴	—	632	2	no	—
1260	C₂⁴	—	632	2	no	—
1261	C₂⁴	—	158	8	no	—
1262	C₂⁴	C₂³×D₇₉	1	4	yes	—
1263	C₂⁴	C₂³×D₇₉	1	2	yes	—
1264	#41	—	2	16	no	—
1265	#41	—	2	8	no	—
1266	#41	—	632	8	no	—
1267	#41	—	632	8	no	—
1268	#41	—	158	16	no	—
1269	#41	—	158	8	no	—
1270	C₂×Q₈	—	79	4	no	—
1271	C₂×Q₈	—	79	4	no	—
1272	C₂×Q₈	—	79	8	no	—
1273	C₂×Q₈	—	79	2	no	—
1274	C₂×Q₈	—	632	4	no	—
1275	C₂×Q₈	C₂³×D₇₉	1	2	yes	—
1276	C₂×D₄	—	2	16	no	—
1277	C₂×D₄	—	2	16	no	—
1278	C₂×D₄	—	79	4	no	—
1279	C₂×D₄	—	79	4	no	—
1280	C₂×D₄	—	79	8	no	—
1281	C₂×D₄	—	79	4	no	—
1282	C₂×D₄	—	79	8	no	—
1283	C₂×D₄	—	79	8	no	—
1284	C₂×D₄	—	79	4	no	—
1285	C₂×D₄	—	79	8	no	—
1286	C₂×D₄	—	79	4	no	—
1287	C₂×D₄	—	79	8	no	—
1288	C₂×D₄	—	79	4	no	—
1289	C₂×D₄	—	79	8	no	—
1290	C₂×D₄	—	79	4	no	—
1291	C₂×D₄	—	79	8	no	—
1292	C₂×D₄	—	79	4	no	—
1293	C₂×D₄	—	79	2	no	—
1294	C₂×D₄	—	632	4	no	—
1295	C₂×D₄	—	632	4	no	—
1296	C₂×D₄	—	632	4	no	—
1297	C₂×D₄	—	632	4	no	—
1298	C₂×D₄	—	632	4	no	—
1299	C₂×D₄	—	158	8	no	—
1300	C₂×D₄	—	158	16	no	—
1301	C₂×D₄	—	158	16	no	—
1302	C₂×D₄	—	158	16	no	—
1303	C₂×D₄	—	158	16	no	—
1304	C₂×D₄	—	158	4	no	—
1305	C₂×D₄	#11929624	1	8	yes	complemented
1306	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1307	C₂×D₄	C₂³×D₇₉	1	8	yes	—
1308	C₂×D₄	C₂³×D₇₉	1	2	yes	—
1309	C₂×D₄	C₂³×D₇₉	1	4	yes	—
1310	C₂²×C₄	—	8	2	no	—
1311	C₂²×C₄	—	8	4	no	—
1312	C₂²×C₄	—	79	4	no	—
1313	C₂²×C₄	—	79	1	no	—
1314	C₂²×C₄	—	79	2	no	—
1315	C₂²×C₄	—	79	1	no	—
1316	C₂²×C₄	—	79	4	no	—
1317	C₂²×C₄	—	79	4	no	—
1318	C₂²×C₄	—	79	4	no	—
1319	C₂²×C₄	—	79	4	no	—
1320	C₂²×C₄	—	79	4	no	—
1321	C₂²×C₄	—	79	8	no	—
1322	C₂²×C₄	—	79	8	no	—
1323	C₂²×C₄	—	79	8	no	—
1324	C₂²×C₄	—	79	1	no	—
1325	C₂²×C₄	—	79	4	no	—
1326	C₂²×C₄	—	79	4	no	—
1327	C₂²×C₄	—	79	2	no	—
1328	C₂²×C₄	—	79	2	no	—
1329	C₂²×C₄	—	632	4	no	—
1330	C₂²×C₄	—	632	2	no	—
1331	C₂²×C₄	—	632	2	no	—
1332	C₂²×C₄	—	632	2	no	—
1333	C₂²×C₄	—	158	4	no	—
1334	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1335	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1336	C₂²×C₄	C₂³×D₇₉	1	2	yes	—
1337	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1338	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1339	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1340	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1341	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1342	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1343	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1344	C₂²×C₄	C₂³×D₇₉	1	4	yes	—
1345	C₂²×C₄	C₂³×D₇₉	1	8	yes	—
1346	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
1347	C₄⋊C₄	—	79	8	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	2	no	—
1353	C₄⋊C₄	—	79	2	no	—
1354	C₄⋊C₄	—	79	2	no	—
1355	C₄⋊C₄	—	79	2	no	—
1356	C₄⋊C₄	—	79	8	no	—
1357	C₄⋊C₄	—	79	8	no	—
1358	C₄⋊C₄	—	79	8	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	4	no	—
1364	C₄⋊C₄	—	79	4	no	—
1365	C₄⋊C₄	—	79	2	no	—
1366	C₄⋊C₄	—	79	4	no	—
1367	C₄⋊C₄	—	79	4	no	—
1368	C₄⋊C₄	—	79	8	no	—
1369	C₄⋊C₄	—	79	2	no	—
1370	C₄⋊C₄	—	79	4	no	—
1371	C₄⋊C₄	—	79	4	no	—
1372	C₄⋊C₄	—	79	4	no	—
1373	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1374	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1375	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1376	C₄⋊C₄	C₂³×D₇₉	1	8	yes	—
1377	C₄⋊C₄	C₂³×D₇₉	1	2	yes	—
1378	C₄⋊C₄	C₂³×D₇₉	1	4	yes	—
1379	C₂²⋊C₄	—	79	8	no	—
1380	C₂²⋊C₄	—	79	8	no	—
1381	C₂²⋊C₄	—	79	4	no	—
1382	C₂²⋊C₄	—	79	4	no	—
1383	C₂²⋊C₄	—	79	8	no	—
1384	C₂²⋊C₄	—	79	4	no	—
1385	C₂²⋊C₄	—	79	4	no	—
1386	C₂²⋊C₄	—	79	4	no	—
1387	C₂²⋊C₄	—	79	1	no	—
1388	C₂²⋊C₄	—	79	1	no	—
1389	C₂²⋊C₄	—	79	4	no	—
1390	C₂²⋊C₄	—	79	4	no	—
1391	C₂²⋊C₄	—	79	2	no	—
1392	C₂²⋊C₄	—	79	2	no	—
1393	C₂²⋊C₄	—	79	1	no	—
1394	C₂²⋊C₄	—	79	1	no	—
1395	C₂²⋊C₄	—	79	4	no	—
1396	C₂²⋊C₄	—	79	4	no	—
1397	C₂²⋊C₄	—	79	4	no	—
1398	C₂²⋊C₄	—	79	4	no	—
1399	C₂²⋊C₄	—	79	4	no	—
1400	C₂²⋊C₄	—	79	8	no	—
1401	C₂²⋊C₄	—	79	4	no	—
1402	C₂²⋊C₄	—	79	4	no	—
1403	C₂²⋊C₄	—	79	4	no	—
1404	C₂²⋊C₄	—	79	4	no	—
1405	C₂²⋊C₄	—	79	4	no	—
1406	C₂²⋊C₄	—	79	4	no	—
1407	C₂²⋊C₄	—	79	8	no	—
1408	C₂²⋊C₄	—	79	8	no	—
1409	C₂²⋊C₄	—	79	8	no	—
1410	C₂²⋊C₄	—	79	8	no	—
1411	C₂²⋊C₄	—	79	8	no	—
1412	C₂²⋊C₄	—	79	4	no	—
1413	C₂²⋊C₄	—	79	4	no	—
1414	C₂²⋊C₄	—	79	4	no	—
1415	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1416	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1417	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1418	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1419	C₂²⋊C₄	C₂³×D₇₉	1	4	yes	—
1420	C₂²⋊C₄	C₂³×D₇₉	1	8	yes	—
1421	C₄²	—	79	4	no	—
1422	C₄²	—	79	4	no	—
1423	C₄²	—	79	8	no	—
1424	C₄²	—	79	8	no	—
1425	C₄²	—	79	2	no	—
1426	C₄²	—	79	2	no	—
1427	C₄²	—	79	4	no	—
1428	C₄²	C₂³×D₇₉	1	2	yes	—
1429	C₄²	C₂³×D₇₉	1	2	yes	—
1430	C₄²	C₂³×D₇₉	1	4	yes	—
1431	C₄²	C₂³×D₇₉	1	4	yes	—
1432	C₄²	C₂³×D₇₉	1	8	yes	—
1433	C₄²	C₂³×D₇₉	1	4	yes	—
1434	C₂³	—	2	8	no	—
1435	C₂³	—	4	2	no	—
1436	C₂³	—	4	2	no	—
1437	C₂³	—	4	4	no	—
1438	C₂³	—	4	4	no	—
1439	C₂³	—	316	2	no	—
1440	C₂³	—	316	2	no	—
1441	C₂³	—	316	1	no	—
1442	C₂³	—	316	1	no	—
1443	C₂³	—	316	4	no	—
1444	C₂³	—	316	4	no	—
1445	C₂³	—	316	4	no	—
1446	C₂³	—	316	4	no	—
1447	C₂³	—	316	4	no	—
1448	C₂³	—	316	4	no	—
1449	C₂³	—	79	1	no	—
1450	C₂³	—	79	1	no	—
1451	C₂³	—	79	4	no	—
1452	C₂³	—	79	4	no	—
1453	C₂³	—	632	16	no	—
1454	C₂³	—	158	2	no	—
1455	C₂³	—	158	4	no	—
1456	C₂³	—	158	8	no	—
1457	C₂³	—	158	8	no	—
1458	C₂³	—	158	8	no	—
1459	C₂³	C₂×#11929624	1	8	yes	—
1460	C₂³	C₂⁴×D₇₉	1	4	yes	—
1461	C₂³	C₂⁴×D₇₉	1	4	yes	—
1462	C₂³	C₂⁴×D₇₉	1	1	yes	characteristic
1463	Q₈	—	2	4	no	—
1464	Q₈	—	316	4	no	—
1465	Q₈	—	316	8	no	—
1466	Q₈	—	316	4	no	—
1467	Q₈	—	158	4	no	—
1468	D₄	—	2	16	no	—
1469	D₄	—	2	8	no	—
1470	D₄	—	2	4	no	—
1471	D₄	—	316	4	no	—
1472	D₄	—	316	4	no	—
1473	D₄	—	316	8	no	—
1474	D₄	—	316	8	no	—
1475	D₄	—	316	4	no	—
1476	D₄	—	316	4	no	—
1477	D₄	—	316	4	no	—
1478	D₄	—	316	8	no	—
1479	D₄	—	316	8	no	—
1480	D₄	—	316	8	no	—
1481	D₄	—	316	4	no	—
1482	D₄	—	158	16	no	—
1483	D₄	—	158	16	no	—
1484	D₄	—	158	8	no	—
1485	D₄	—	158	8	no	—
1486	D₄	—	158	4	no	—
1487	D₄	C₂×#11929624	1	16	yes	—
1488	C₂×C₄	—	2	8	no	—
1489	C₂×C₄	—	2	8	no	—
1490	C₂×C₄	—	4	1	no	—
1491	C₂×C₄	—	4	4	no	—
1492	C₂×C₄	—	4	4	no	—
1493	C₂×C₄	—	4	2	no	—
1494	C₂×C₄	—	4	4	no	—
1495	C₂×C₄	—	4	4	no	—
1496	C₂×C₄	—	4	8	no	—
1497	C₂×C₄	—	4	1	no	—
1498	C₂×C₄	—	4	4	no	—
1499	C₂×C₄	—	4	4	no	—
1500	C₂×C₄	—	316	4	no	—
1501	C₂×C₄	—	316	8	no	—
1502	C₂×C₄	—	316	8	no	—
1503	C₂×C₄	—	316	8	no	—
1504	C₂×C₄	—	316	4	no	—
1505	C₂×C₄	—	316	1	no	—
1506	C₂×C₄	—	316	1	no	—
1507	C₂×C₄	—	316	2	no	—
1508	C₂×C₄	—	316	4	no	—
1509	C₂×C₄	—	316	4	no	—
1510	C₂×C₄	—	316	4	no	—
1511	C₂×C₄	—	316	4	no	—
1512	C₂×C₄	—	79	4	no	—
1513	C₂×C₄	—	79	4	no	—
1514	C₂×C₄	—	79	2	no	—
1515	C₂×C₄	—	79	1	no	—
1516	C₂×C₄	—	79	2	no	—
1517	C₂×C₄	—	79	4	no	—
1518	C₂×C₄	—	79	4	no	—
1519	C₂×C₄	—	79	1	no	—
1520	C₂×C₄	—	158	2	no	—
1521	C₂×C₄	—	158	8	no	—
1522	C₂×C₄	—	158	4	no	—
1523	C₂×C₄	—	158	4	no	—
1524	C₂×C₄	—	158	8	no	—
1525	C₂×C₄	C₂×#11929624	1	4	yes	—
1526	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1527	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1528	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1529	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
1530	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1531	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1532	C₂×C₄	C₂⁴×D₇₉	1	4	yes	—
1533	C₂×C₄	C₂⁴×D₇₉	1	2	yes	—
1534	C₂²	—	2	1	no	—
1535	C₂²	—	2	4	no	—
1536	C₂²	—	2	1	no	—
1537	C₂²	—	2	4	no	—
1538	C₂²	—	2	4	no	—
1539	C₂²	—	2	4	no	—
1540	C₂²	—	2	4	no	—
1541	C₂²	—	4	8	no	—
1542	C₂²	—	8	8	no	—
1543	C₂²	—	316	4	no	—
1544	C₂²	—	316	8	no	—
1545	C₂²	—	632	8	no	—
1546	C₂²	—	632	8	no	—
1547	C₂²	—	632	8	no	—
1548	C₂²	—	158	1	no	—
1549	C₂²	—	158	1	no	—
1550	C₂²	—	158	4	no	—
1551	C₂²	—	158	4	no	—
1552	C₂²	—	158	4	no	—
1553	C₂²	—	158	4	no	—
1554	C₂²	—	158	1	no	—
1555	C₂²	—	158	1	no	—
1556	C₂²	—	158	4	no	—
1557	C₂²	—	158	4	no	—
1558	C₂²	—	158	1	no	—
1559	C₂²	—	158	1	no	—
1560	C₂²	C₂²×#11929624	1	8	yes	—
1561	C₂²	C₂²×#11929624	1	2	yes	—
1562	C₂²	C₂⁵×D₇₉	1	1	yes	characteristic
1563	C₄	—	2	4	no	—
1564	C₄	—	2	1	no	—
1565	C₄	—	2	1	no	—
1566	C₄	—	2	4	no	—
1567	C₄	—	2	4	no	—
1568	C₄	—	2	2	no	—
1569	C₄	—	2	4	no	—
1570	C₄	—	158	2	no	—
1571	C₄	—	158	4	no	—
1572	C₄	—	158	4	no	—
1573	C₄	—	158	2	no	—
1574	C₄	—	158	1	no	—
1575	C₄	—	158	4	no	—
1576	C₄	—	158	1	no	—
1577	C₄	—	158	4	no	—
1578	C₄	C₂²×#11929624	1	4	yes	—
1579	C₂	—	2	2	no	—
1580	C₂	—	2	8	no	—
1581	C₂	—	4	4	no	—
1582	C₂	—	316	1	no	—
1583	C₂	—	316	1	no	—
1584	C₂	—	316	4	no	—
1585	C₂	—	316	4	no	—
1586	C₂	C₂³×#11929624	1	1	yes	characteristic
1587	C₂	#23778210	1	1	yes	characteristic
1588	C₂	#23778211	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₉
commutator, socle, cosocle	C₂²×C₇₉	C₂⁶
Fitting	C₄×H(5,𝔽₂)×C₇₉	C₂
hypercenter	C₄×H(5,𝔽₂)	D₇₉
hypocenter	C₇₉	#62846
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂² ◁ C₄×H(5,𝔽₂)

Complements

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

N	H ≅ G/N	type
1. #23777470	C₂	semidirect
2. #23777468	C₂	semidirect
3. #23777432	C₂	semidirect
4. #23777422	C₂	semidirect
5. #23777361	C₂	semidirect
6. #23777351	C₂	semidirect
7. #23777342	C₂	semidirect
8. #23777340	C₂	semidirect
9. #23777245	C₂	semidirect
10. #23777230	C₂	semidirect
11. #23777198	C₂	semidirect
12. #23777159	C₂	semidirect
13. #23777113	C₂	semidirect
14. #23777085	C₂	semidirect
15. #23777036	C₂	semidirect
16. #23777031	C₂	semidirect
17. #23776816	C₂	semidirect
18. #23776809	C₂	semidirect
19. #23776785	C₂	semidirect
20. C₂×#19099146	C₂	semidirect
21. C₄×#14579206	C₂	semidirect
22. C₂×#19099035	C₂	semidirect
23. C₄×H(5,𝔽₂)×C₇₉	C₂	semidirect
26. #19099298	C₂²	semidirect
27. #19099296	C₂²	semidirect
28. #19099286	C₂²	semidirect
29. #19099285	C₂²	semidirect
30. #19099281	C₂²	semidirect
31. #19099278	C₂²	semidirect
32. #19099276	C₂²	semidirect
33. #19099276	C₂²	semidirect
34. #19099272	C₂²	semidirect
35. #19099272	C₂²	semidirect
36. #19099270	C₂²	semidirect
37. #19099263	C₂²	semidirect
38. #19099262	C₂²	semidirect
39. #19099262	C₂²	semidirect
40. #19099261	C₂²	semidirect
41. #19099261	C₂²	semidirect
42. #19099259	C₂²	semidirect
43. #19099257	C₂²	semidirect
44. #19099254	C₂²	semidirect
45. #19099248	C₂²	semidirect
46. #19099246	C₂²	semidirect
47. #19099242	C₂²	semidirect
48. #19099242	C₂²	semidirect
49. #19099239	C₂²	semidirect
50. #19099237	C₂²	semidirect
51. #19099237	C₂²	semidirect
52. #19099237	C₂²	semidirect
53. #19099234	C₂²	semidirect
54. D₄×Dic₁₅₈	C₂²	semidirect
55. #19099222	C₂²	semidirect
56. #19099214	C₂²	semidirect
57. #19099212	C₂²	semidirect
58. #19099209	C₂²	semidirect
59. #19099209	C₂²	semidirect
60. #19099208	C₂²	semidirect
61. #19099208	C₂²	semidirect
62. #19099207	C₂²	semidirect
63. #19099203	C₂²	semidirect
64. #19099203	C₂²	semidirect
65. #19099203	C₂²	semidirect
66. #19099201	C₂²	semidirect
67. #19099201	C₂²	semidirect
68. #19099201	C₂²	semidirect
69. D₄×D₃₁₆	C₂²	semidirect
70. D₄×D₃₁₆	C₂²	semidirect
71. D₄×C₂²⋊D₇₉	C₂²	semidirect
72. D₄×C₂²⋊D₇₉	C₂²	semidirect
73. D₄×C₂²⋊D₇₉	C₂²	semidirect
74. #19099191	C₂²	semidirect
75. #19099189	C₂²	semidirect
76. #19099185	C₂²	semidirect
77. #19099185	C₂²	semidirect
78. #19099185	C₂²	semidirect
79. #19099184	C₂²	semidirect
80. #19099178	C₂²	semidirect
81. #19099178	C₂²	semidirect
82. #19099171	C₂²	semidirect
83. #19099171	C₂²	semidirect
84. #19099168	C₂²	semidirect
85. #19099164	C₂²	semidirect
86. #19099164	C₂²	semidirect
87. #19099164	C₂²	semidirect
88. #19099160	C₂²	semidirect
89. #19099155	C₂²	semidirect
90. #19099155	C₂²	semidirect
91. #19099155	C₂²	semidirect
92. #19099151	C₂²	semidirect
93. #19099146	C₂²	semidirect
94. #19099146	C₂²	semidirect
95. #19099146	C₂²	semidirect
96. #19099146	C₂²	semidirect
97. #19099146	C₂²	semidirect
98. #19099146	C₂²	semidirect
99. #19099146	C₂²	semidirect
100. #19099146	C₂²	semidirect
101. #19099146	C₂²	semidirect
102. #19099146	C₂²	semidirect
103. #19099141	C₂²	semidirect
104. #19099132	C₂²	semidirect
105. #19099127	C₂²	semidirect
106. #19099125	C₂²	semidirect
107. #19099122	C₂²	semidirect
108. #19099122	C₂²	semidirect
109. #19099116	C₂²	semidirect
110. #19099113	C₂²	semidirect
111. #19099110	C₂²	semidirect
112. #19099109	C₂²	semidirect
113. #19099100	C₂²	semidirect
114. #19099097	C₂²	semidirect
115. #19099097	C₂²	semidirect
116. #19099097	C₂²	semidirect
117. #19099097	C₂²	semidirect
118. #19099093	C₂²	semidirect
119. #19099093	C₂²	semidirect
120. #19099091	C₂²	semidirect
121. #19099091	C₂²	semidirect
122. C₂×#14579156	C₂²	semidirect
123. C₂×#14579155	C₂²	semidirect
124. C₂×#14579149	C₂²	semidirect
125. C₂×#14579147	C₂²	semidirect
126. #19099075	C₂²	semidirect
127. #19099074	C₂²	semidirect
128. #19099072	C₂²	semidirect
129. #19099072	C₂²	semidirect
130. #19099072	C₂²	semidirect
131. #19099070	C₂²	semidirect
132. C₂×#14579146	C₂²	semidirect
133. C₂×#14579144	C₂²	semidirect
134. C₂×#14579138	C₂²	semidirect
135. C₂×#14579135	C₂²	semidirect
136. C₂×#14579134	C₂²	semidirect
137. C₂×#14579133	C₂²	semidirect
138. C₂×#14579131	C₂²	semidirect
139. C₂×#14579129	C₂²	semidirect
140. #19099044	C₂²	semidirect
141. #19099042	C₂²	semidirect
143. #19099036	C₂²	semidirect
144. #19099035	C₂²	semidirect
145. #19099035	C₂²	semidirect
146. #19099035	C₂²	semidirect
147. #19099035	C₂²	semidirect
148. #19099035	C₂²	semidirect
149. C₄×#11929624	C₂²	semidirect
150. C₄×#11929623	C₂²	semidirect
151. C₂×C₄×D₃₁₆	C₂²	semidirect
153. C₂×#14579123	C₂²	semidirect
154. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
155. C₂×C₄×C₂²⋊D₇₉	C₂²	semidirect
156. C₂×(C₂²⋊D₇₉)⋊C₄	C₂²	semidirect
157. C₄×D₄×D₇₉	C₂²	semidirect
158. C₂×#14579119	C₂²	semidirect
159. C₂×#14579118	C₂²	semidirect
160. C₂²×(C₂×D₇₉)⋊C₄	C₂²	semidirect
161. C₂×C₂²⋊C₄×D₇₉	C₂²	semidirect
163. #520×C₇₉	C₂²	semidirect
164. #520×C₇₉	C₂²	semidirect
166. #518×C₇₉	C₂²	semidirect
167. #518×C₇₉	C₂²	semidirect
168. C₄×#41×C₇₉	C₂²	semidirect
169. C₄×#41×C₇₉	C₂²	semidirect
171. C₂×C₄×D₄×C₇₉	C₂²	semidirect
172. C₂×C₄×D₄×C₇₉	C₂²	semidirect
176. C₂×#11929624	C₂³	semidirect
177. C₂×#11929624	C₂³	semidirect
179. C₂²×Dic₁₅₈	C₂³	semidirect
187. C₂²×C₂²⋊D₇₉	C₂³	semidirect
196. C₂²×C₄×D₇₉	C₂³	semidirect
197. #14579161	C₂³	semidirect
198. #14579160	C₂³	semidirect
199. #14579160	C₂³	semidirect
200. #14579160	C₂³	semidirect
201. #14579159	C₂³	semidirect
204. #14579157	C₂³	semidirect
208. #14579156	C₂³	semidirect
209. #14579156	C₂³	semidirect
210. #14579156	C₂³	semidirect
214. #14579155	C₂³	semidirect
215. #14579155	C₂³	semidirect
216. #14579155	C₂³	semidirect
217. #14579155	C₂³	semidirect
218. #14579154	C₂³	semidirect
219. #14579154	C₂³	semidirect
220. #14579154	C₂³	semidirect
221. #14579153	C₂³	semidirect
222. #14579153	C₂³	semidirect
223. #14579153	C₂³	semidirect
224. #14579152	C₂³	semidirect
225. #14579152	C₂³	semidirect
226. #14579152	C₂³	semidirect
227. #14579151	C₂³	semidirect
228. #14579151	C₂³	semidirect
229. #14579151	C₂³	semidirect
231. #14579150	C₂³	semidirect
236. #14579149	C₂³	semidirect
237. #14579149	C₂³	semidirect
238. #14579148	C₂³	semidirect
242. #14579147	C₂³	semidirect
243. #14579147	C₂³	semidirect
244. #14579147	C₂³	semidirect
248. #14579146	C₂³	semidirect
249. #14579146	C₂³	semidirect
250. #14579146	C₂³	semidirect
251. #14579146	C₂³	semidirect
258. #14579144	C₂³	semidirect
259. #14579144	C₂³	semidirect
260. #14579144	C₂³	semidirect
261. #14579144	C₂³	semidirect
262. #14579144	C₂³	semidirect
263. #14579143	C₂³	semidirect
264. #14579143	C₂³	semidirect
265. #14579143	C₂³	semidirect
266. #14579143	C₂³	semidirect
268. #14579142	C₂³	semidirect
271. #14579140	C₂³	semidirect
272. #14579140	C₂³	semidirect
273. #14579140	C₂³	semidirect
274. #14579140	C₂³	semidirect
275. #14579140	C₂³	semidirect
276. #14579139	C₂³	semidirect
277. #14579139	C₂³	semidirect
278. #14579139	C₂³	semidirect
279. #14579139	C₂³	semidirect
283. #14579138	C₂³	semidirect
284. #14579138	C₂³	semidirect
285. #14579138	C₂³	semidirect
286. #14579138	C₂³	semidirect
289. #14579137	C₂³	semidirect
301. #14579135	C₂³	semidirect
302. #14579135	C₂³	semidirect
303. #14579135	C₂³	semidirect
307. #14579134	C₂³	semidirect
308. #14579134	C₂³	semidirect
309. #14579134	C₂³	semidirect
310. #14579134	C₂³	semidirect
316. #14579133	C₂³	semidirect
317. #14579133	C₂³	semidirect
320. #14579132	C₂³	semidirect
327. #14579130	C₂³	semidirect
332. #14579129	C₂³	semidirect
333. C₄×Dic₁₅₈	C₂³	semidirect
334. C₄×Dic₁₅₈	C₂³	semidirect
335. C₄×Dic₁₅₈	C₂³	semidirect
336. C₄×Dic₁₅₈	C₂³	semidirect
337. C₄×Dic₁₅₈	C₂³	semidirect
338. #14579126	C₂³	semidirect
343. C₄×D₃₁₆	C₂³	semidirect
344. C₄×D₃₁₆	C₂³	semidirect
345. C₄×D₃₁₆	C₂³	semidirect
346. C₄×D₃₁₆	C₂³	semidirect
353. #14579123	C₂³	semidirect
361. C₄×C₂²⋊D₇₉	C₂³	semidirect
362. C₄×C₂²⋊D₇₉	C₂³	semidirect
363. C₄×C₂²⋊D₇₉	C₂³	semidirect
364. C₄×C₂²⋊D₇₉	C₂³	semidirect
365. C₄×C₂²⋊D₇₉	C₂³	semidirect
366. C₄×C₂²⋊D₇₉	C₂³	semidirect
367. C₄×C₂²⋊D₇₉	C₂³	semidirect
370. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
371. (C₂²⋊D₇₉)⋊C₄	C₂³	semidirect
373. #14579120	C₂³	semidirect
376. #14579119	C₂³	semidirect
381. #14579118	C₂³	semidirect
382. #14579118	C₂³	semidirect
383. #14579118	C₂³	semidirect
384. #14579118	C₂³	semidirect
385. #14579117	C₂³	semidirect
387. C₂×C₄⋊Dic₇₉	C₂³	semidirect
390. C₂×Dic₇₉⋊C₄	C₂³	semidirect
391. C₂×Dic₇₉⋊C₄	C₂³	semidirect
392. C₂×Dic₇₉⋊C₄	C₂³	semidirect
393. C₂×Dic₇₉⋊C₄	C₂³	semidirect
394. C₄⋊C₄×D₇₉	C₂³	semidirect
397. C₂×C₂²⋊Dic₇₉	C₂³	semidirect
411. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
412. C₂×(C₂×D₇₉)⋊C₄	C₂³	semidirect
415. C₂²⋊C₄×D₇₉	C₂³	semidirect
418. C₂×C₄×Dic₇₉	C₂³	semidirect
419. C₄²×D₇₉	C₂³	semidirect
427. C₂³×C₄×C₇₉	C₂³	semidirect
428. C₄×Q₈×C₇₉	C₂³	semidirect
429. C₄×Q₈×C₇₉	C₂³	semidirect
430. C₄×Q₈×C₇₉	C₂³	semidirect
438. C₄×D₄×C₇₉	C₂³	semidirect
439. C₄×D₄×C₇₉	C₂³	semidirect
440. C₄×D₄×C₇₉	C₂³	semidirect
441. C₄×D₄×C₇₉	C₂³	semidirect
442. C₄×D₄×C₇₉	C₂³	semidirect
443. C₄×D₄×C₇₉	C₂³	semidirect
444. C₄×D₄×C₇₉	C₂³	semidirect
446. #117×C₇₉	C₂³	semidirect
447. #117×C₇₉	C₂³	semidirect
448. #117×C₇₉	C₂³	semidirect
450. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
451. C₂×C₄⋊C₄×C₇₉	C₂³	semidirect
454. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
455. C₂×C₂²⋊C₄×C₇₉	C₂³	semidirect
457. C₂×C₄²×C₇₉	C₂³	semidirect
458. C₂×C₄²×C₇₉	C₂³	semidirect
601. C₂×D₄×C₇₉	#41	semidirect
816. C₄×H(5,𝔽₂)	D₇₉	semidirect
818. C₇₉	#62846	semidirect
938. #520	C₂×D₇₉	semidirect
939. #520	C₂×D₇₉	semidirect
948. #518	C₂×D₇₉	semidirect
949. #518	C₂×D₇₉	semidirect
952. C₄×#41	C₂×D₇₉	semidirect
953. C₄×#41	C₂×D₇₉	semidirect
962. C₂×C₄×D₄	C₂×D₇₉	semidirect
963. C₂×C₄×D₄	C₂×D₇₉	semidirect
999. C₂³×C₄	C₂²×D₇₉	semidirect
1142. C₄×Q₈	C₂²×D₇₉	semidirect
1143. C₄×Q₈	C₂²×D₇₉	semidirect
1144. C₄×Q₈	C₂²×D₇₉	semidirect
1185. C₄×D₄	C₂²×D₇₉	semidirect
1186. C₄×D₄	C₂²×D₇₉	semidirect
1187. C₄×D₄	C₂²×D₇₉	semidirect
1188. C₄×D₄	C₂²×D₇₉	semidirect
1189. C₄×D₄	C₂²×D₇₉	semidirect
1190. C₄×D₄	C₂²×D₇₉	semidirect
1191. C₄×D₄	C₂²×D₇₉	semidirect
1207. #117	C₂²×D₇₉	semidirect
1208. #117	C₂²×D₇₉	semidirect
1209. #117	C₂²×D₇₉	semidirect
1220. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
1221. C₂×C₄⋊C₄	C₂²×D₇₉	semidirect
1245. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
1246. C₂×C₂²⋊C₄	C₂²×D₇₉	semidirect
1252. C₂×C₄²	C₂²×D₇₉	semidirect
1253. C₂×C₄²	C₂²×D₇₉	semidirect
1305. C₂×D₄	#11929624	semidirect

Maximal subgroups

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

subgroup	index
#23777470	2
#23777468	2
#23777432	2
#23777422	2
#23777361	2
#23777351	2
#23777342	2
#23777340	2
#23777245	2
#23777230	2
#23777198	2
#23777159	2
#23777113	2
#23777085	2
#23777036	2
#23777031	2
#23776816	2
#23776809	2
#23776785	2
C₂×#19099146	2
C₄×#14579206	2
C₂×#19099035	2
C₄×H(5,𝔽₂)×C₇₉	2
#62846	79