Finite Group Databasebeta

← C79×#34416 #34146105

Subgroups — C79×#34416 #34146105

Order 20224.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#538×C79C211yesmaximal, characteristic
2C79×#2383C211yesmaximal, characteristic, complemented
3C79×#2379C211yesmaximal, characteristic, complemented
4C79×#2377C211yesmaximal, characteristic, complemented
5C79×#2376C211yesmaximal, characteristic, complemented
6C79×#2373C211yesmaximal, characteristic, complemented
7C79×#2368C211yesmaximal, characteristic, complemented
8C79×#2367C211yesmaximal, characteristic, complemented
9C79×#2364C211yesmaximal, characteristic, complemented
10C79×#2361C211yesmaximal, characteristic, complemented
11C79×#2361C211yesmaximal, characteristic, complemented
12C79×#2360C211yesmaximal, characteristic, complemented
13C79×#2359C211yesmaximal, characteristic, complemented
14C79×#2353C211yesmaximal, characteristic, complemented
15C79×#2352C211yesmaximal, characteristic, complemented
16C79×#2349C211yesmaximal, characteristic, complemented
17D4×C4⋊C4×C79C211yesmaximal, characteristic, complemented
18C79×#2337C211yesmaximal, characteristic, complemented
19C79×#2335C211yesmaximal, characteristic, complemented
20C79×#2334C211yesmaximal, characteristic, complemented
21C79×#2334C211yesmaximal, characteristic, complemented
22C79×#2326C211yesmaximal, characteristic, complemented
23C79×#2325C211yesmaximal, characteristic, complemented
24C79×#2324C211yesmaximal, characteristic, complemented
25C79×#2322C211yesmaximal, characteristic, complemented
26C79×#2321C211yesmaximal, characteristic, complemented
27C79×#2321C211yesmaximal, characteristic, complemented
28C79×#2312C211yesmaximal, characteristic, complemented
29C4×#120×C79C211yesmaximal, characteristic, complemented
30C4×#120×C79C211yesmaximal, characteristic, complemented
31C2×#385×C79C211yesmaximal, characteristic, complemented
32C24×C4×C79C2211yescharacteristic
33#538×C79C4116yescomplemented
34C2×#126×C79C2211yescharacteristic
35C2×#126×C79C2211yescharacteristic
36C2×#124×C79C2211yescharacteristic
37C2×#124×C79C2211yescharacteristic
38C2×#123×C79C2211yescharacteristic
39C2×#123×C79C2211yescharacteristic
40C2×C22⋊Q8×C79C2211yescharacteristic
41C2×#121×C79C2211yescharacteristic
42C2×#121×C79C2211yescharacteristic
43C2×#121×C79C2211yescharacteristic
44C2×#120×C79C2211yescharacteristic
45C2×#120×C79C2211yescharacteristic
46C2×C4×Q8×C79C2211yescharacteristic, complemented
47C2×C4×D4×C79C2211yescharacteristic
48C2×C4×D4×C79C2211yescharacteristic
49C2×C4×D4×C79C2211yescharacteristic
50C2×C4×D4×C79C2211yescharacteristic
51C2×C4×D4×C79C2211yescharacteristic
52C2×C4×D4×C79C2211yescharacteristic
53C2×C4×D4×C79C2211yescharacteristic
54C2×C4×D4×C79C2211yescharacteristic
55C2×C4×D4×C79C2211yescharacteristic
56C2×C4×D4×C79C2211yescharacteristic
57C2×C4×D4×C79C2211yescharacteristic, complemented
58C2×#117×C79C2211yescharacteristic, complemented
59C22×C4⋊C4×C79C2211yescharacteristic
60C22×C4⋊C4×C79C2211yescharacteristic
61C22×C4⋊C4×C79C2211yescharacteristic, complemented
62C22×C22⋊C4×C79C2211yescharacteristic
63C22×C22⋊C4×C79C2211yescharacteristic
64#391×C79C2211yescharacteristic, complemented
65#391×C79C2211yescharacteristic, complemented
66#391×C79C2211yescharacteristic, complemented
67#390×C79C2211yescharacteristic
68#390×C79C2211yescharacteristic
69#390×C79C2211yescharacteristic
70#390×C79C2211yescharacteristic
71#390×C79C2211yescharacteristic, complemented
72#389×C79C2211yescharacteristic, complemented
73#389×C79C2211yescharacteristic, complemented
74#389×C79C2211yescharacteristic, complemented
75#389×C79C2211yescharacteristic, complemented
76#389×C79C2211yescharacteristic, complemented
77#389×C79C2211yescharacteristic, complemented
78#389×C79C2211yescharacteristic, complemented
79#389×C79C2211yescharacteristic, complemented
80#388×C79C2211yescharacteristic
81#388×C79C2211yescharacteristic
82#388×C79C2211yescharacteristic
83#388×C79C2211yescharacteristic
84#388×C79C2211yescharacteristic
85#388×C79C2211yescharacteristic
86#388×C79C2211yescharacteristic
87#388×C79C2211yescharacteristic
88#388×C79C2211yescharacteristic
89#388×C79C2211yescharacteristic
90#388×C79C2211yescharacteristic
91#388×C79C2211yescharacteristic
92#388×C79C2211yescharacteristic
93#388×C79C2211yescharacteristic
94#388×C79C2211yescharacteristic
95#388×C79C2211yescharacteristic
96#388×C79C2211yescharacteristic, complemented
97#388×C79C2211yescharacteristic, complemented
98#388×C79C2211yescharacteristic, complemented
99#388×C79C2211yescharacteristic, complemented
100#388×C79C2211yescharacteristic, complemented
101#388×C79C2211yescharacteristic, complemented
102#388×C79C2211yescharacteristic, complemented
103#388×C79C2211yescharacteristic, complemented
104#387×C79C2211yescharacteristic, complemented
105#387×C79C2211yescharacteristic, complemented
106#387×C79C2211yescharacteristic, complemented
107#387×C79C2211yescharacteristic, complemented
108#387×C79C2211yescharacteristic, complemented
109#387×C79C2211yescharacteristic, complemented
110#387×C79C2211yescharacteristic, complemented
111#387×C79C2211yescharacteristic, complemented
112#387×C79C2211yescharacteristic, complemented
113#387×C79C2211yescharacteristic, complemented
114#387×C79C2211yescharacteristic, complemented
115#387×C79C2211yescharacteristic, complemented
116#386×C79C2211yescharacteristic
117#386×C79C2211yescharacteristic
118#386×C79C2211yescharacteristic
119#386×C79C2211yescharacteristic
120#386×C79C2211yescharacteristic
121#386×C79C2211yescharacteristic
122#386×C79C2211yescharacteristic
123#386×C79C2211yescharacteristic
124#386×C79C2211yescharacteristic
125#386×C79C2211yescharacteristic
126#386×C79C2211yescharacteristic
127#386×C79C2211yescharacteristic
128#386×C79C2211yescharacteristic, complemented
129#386×C79C2211yescharacteristic, complemented
130#385×C79C2211yescharacteristic
131#385×C79C2211yescharacteristic
132#385×C79C2211yescharacteristic
133#385×C79C2211yescharacteristic
134#385×C79C2211yescharacteristic
135#385×C79C2211yescharacteristic
136#385×C79C2211yescharacteristic
137#385×C79C2211yescharacteristic
138#385×C79C2211yescharacteristic
139#385×C79C2211yescharacteristic
140#385×C79C2211yescharacteristic
141#385×C79C2211yescharacteristic
142#385×C79C2211yescharacteristic
143#385×C79C2211yescharacteristic
144#385×C79C2211yescharacteristic
145#385×C79C2211yescharacteristic
146#385×C79C2211yescharacteristic, complemented
147#385×C79C2211yescharacteristic, complemented
148#385×C79C2211yescharacteristic, complemented
149#385×C79C2211yescharacteristic, complemented
150#385×C79C2211yescharacteristic, complemented
151#385×C79C2211yescharacteristic, complemented
152#384×C79C2211yescharacteristic, complemented
153#383×C79C2211yescharacteristic, complemented
154#382×C79C2211yescharacteristic, complemented
155#382×C79C2211yescharacteristic, complemented
156#381×C79C2211yescharacteristic, complemented
157#380×C79C2211yescharacteristic
158#380×C79C2211yescharacteristic
159#380×C79C2211yescharacteristic, complemented
160#380×C79C2211yescharacteristic, complemented
161#380×C79C2211yescharacteristic, complemented
162#379×C79C2211yescharacteristic
163#379×C79C2211yescharacteristic
164C4×C4⋊C4×C79C2211yescharacteristic, complemented
165C4×C4⋊C4×C79C2211yescharacteristic, complemented
166C4×C4⋊C4×C79C2211yescharacteristic, complemented
167C4×C4⋊C4×C79C2211yescharacteristic, complemented
168C4×C4⋊C4×C79C2211yescharacteristic, complemented
169C4×C4⋊C4×C79C2211yescharacteristic, complemented
170C4×C4⋊C4×C79C2211yescharacteristic, complemented
171C4×C22⋊C4×C79C2211yescharacteristic
172C4×C22⋊C4×C79C2211yescharacteristic
173C4×C22⋊C4×C79C2211yescharacteristic
174C4×C22⋊C4×C79C2211yescharacteristic
175C4×C22⋊C4×C79C2211yescharacteristic
176C4×C22⋊C4×C79C2211yescharacteristic
177C4×C22⋊C4×C79C2211yescharacteristic
178C4×C22⋊C4×C79C2211yescharacteristic
179C4×C22⋊C4×C79C2211yescharacteristic
180C4×C22⋊C4×C79C2211yescharacteristic
181C4×C22⋊C4×C79C2211yescharacteristic, complemented
182C4×C22⋊C4×C79C2211yescharacteristic, complemented
183C4×C22⋊C4×C79C2211yescharacteristic, complemented
184#376×C79C2211yescharacteristic, complemented
185C2×#95×C79C2211yescharacteristic
186C2×#95×C79C2211yescharacteristic
187C2×#95×C79C2211yescharacteristic, complemented
188C25×C79C2311yescharacteristic
189C22×Q8×C79C2311yescharacteristic
190C22×D4×C79C2311yescharacteristic
191C22×D4×C79C2311yescharacteristic
192C22×D4×C79C2311yescharacteristic
193C22×D4×C79C2311yescharacteristic
194C22×D4×C79C2311yescharacteristic
195C22×D4×C79C2311yescharacteristic
196C22×D4×C79C2311yescharacteristic
197C23×C4×C79—42no—
198C23×C4×C79—42no—
199C23×C4×C79—42no—
200C23×C4×C79C2311yescharacteristic
201C23×C4×C79C2311yescharacteristic
202C23×C4×C79C2311yescharacteristic
203C23×C4×C79C2311yescharacteristic
204C23×C4×C79C2311yescharacteristic
205C23×C4×C79C2311yescharacteristic
206C23×C4×C79C2311yescharacteristic
207C23×C4×C79C2311yescharacteristic
208C23×C4×C79C2311yescharacteristic
209C23×C4×C79C2311yescharacteristic
210C23×C4×C79C2311yescharacteristic
211C23×C4×C79C2311yescharacteristic
212C23×C4×C79C2311yescharacteristic
213C23×C4×C79C2311yescharacteristic
214C23×C4×C79C2311yescharacteristic
215C23×C4×C79C2311yescharacteristic
216#126×C79C2×C418yescomplemented
217#126×C79C2×C418yescomplemented
218#124×C79C2×C418yescomplemented
219#124×C79C2×C418yescomplemented
220#123×C79C2×C418yescomplemented
221#123×C79C2×C418yescomplemented
222C22⋊Q8×C79C2×C418yescomplemented
223#121×C79C2×C418yescomplemented
224#121×C79C2×C418yescomplemented
225#121×C79C2×C418yescomplemented
226#120×C79C2×C418yescomplemented
227#120×C79C2×C418yescomplemented
228C4×Q8×C79—42no—
229C4×D4×C79—42no—
230C4×D4×C79—42no—
231C4×D4×C79—42no—
232C4×D4×C79—42no—
233C4×D4×C79—42no—
234C4×D4×C79—42no—
235C4×D4×C79—42no—
236C4×D4×C79—42no—
237C4×D4×C79—42no—
238C4×D4×C79C2×C418yescomplemented
239C4×D4×C79C2×C418yescomplemented
240#117×C79—42no—
241C2×C4⋊C4×C79—42no—
242C2×C4⋊C4×C79—42no—
243C2×C4⋊C4×C79—42no—
244C2×C4⋊C4×C79C2311yescharacteristic
245C2×C4⋊C4×C79C2311yescharacteristic
246C2×C4⋊C4×C79C2311yescharacteristic
247C2×C4⋊C4×C79C2311yescharacteristic
248C2×C4⋊C4×C79C2311yescharacteristic
249C2×C4⋊C4×C79C2311yescharacteristic
250C2×C4⋊C4×C79C2311yescharacteristic
251C2×C4⋊C4×C79C2311yescharacteristic
252C2×C4⋊C4×C79C2311yescharacteristic
253C2×C4⋊C4×C79C2311yescharacteristic
254C2×C4⋊C4×C79C2311yescharacteristic
255C2×C4⋊C4×C79C2311yescharacteristic
256C2×C4⋊C4×C79C2311yescharacteristic
257C2×C4⋊C4×C79C2311yescharacteristic
258C2×C4⋊C4×C79C2311yescharacteristic
259C2×C4⋊C4×C79C2311yescharacteristic
260C2×C4⋊C4×C79C2311yescharacteristic
261C2×C4⋊C4×C79C2311yescharacteristic
262C2×C4⋊C4×C79C2311yescharacteristic
263C2×C4⋊C4×C79C2311yescharacteristic
264C2×C4⋊C4×C79C2311yescharacteristic
265C2×C4⋊C4×C79C2311yescharacteristic
266C2×C4⋊C4×C79C2311yescharacteristic
267C2×C4⋊C4×C79C2311yescharacteristic
268C2×C4⋊C4×C79C2311yescharacteristic
269C2×C4⋊C4×C79C2311yescharacteristic
270C2×C4⋊C4×C79C2311yescharacteristic
271C2×C4⋊C4×C79C2311yescharacteristic
272C2×C4⋊C4×C79C2311yescharacteristic
273C2×C4⋊C4×C79C2311yescharacteristic
274C2×C22⋊C4×C79—42no—
275C2×C22⋊C4×C79C2×C418yescomplemented
276C2×C22⋊C4×C79C2311yescharacteristic
277C2×C22⋊C4×C79C2311yescharacteristic
278C2×C22⋊C4×C79C2311yescharacteristic
279C2×C22⋊C4×C79C2311yescharacteristic
280C2×C22⋊C4×C79C2311yescharacteristic
281C2×C22⋊C4×C79C2311yescharacteristic
282C2×C22⋊C4×C79C2311yescharacteristic
283C2×C22⋊C4×C79C2311yescharacteristic
284C2×C22⋊C4×C79C2311yescharacteristic
285C2×C22⋊C4×C79C2311yescharacteristic
286C2×C22⋊C4×C79C2311yescharacteristic
287C2×C22⋊C4×C79C2311yescharacteristic
288C2×C22⋊C4×C79C2311yescharacteristic
289C2×C22⋊C4×C79C2311yescharacteristic
290C2×C22⋊C4×C79C2311yescharacteristic
291C2×C22⋊C4×C79C2311yescharacteristic
292C2×C22⋊C4×C79C2311yescharacteristic
293C2×C22⋊C4×C79C2311yescharacteristic
294C2×C22⋊C4×C79C2311yescharacteristic
295C2×C22⋊C4×C79C2311yescharacteristic
296C2×C22⋊C4×C79C2311yescharacteristic
297C2×C22⋊C4×C79C2311yescharacteristic
298C2×C22⋊C4×C79C2311yescharacteristic
299C2×C22⋊C4×C79C2311yescharacteristic
300C2×C22⋊C4×C79C2311yescharacteristic
301C2×C22⋊C4×C79C2311yescharacteristic
302C2×C22⋊C4×C79C2311yescharacteristic
303C2×C22⋊C4×C79C2311yescharacteristic
304C2×C22⋊C4×C79C2311yescharacteristic
305C2×C22⋊C4×C79C2311yescharacteristic
306C2×C22⋊C4×C79C2311yescharacteristic
307C2×C22⋊C4×C79C2311yescharacteristic
308C2×C22⋊C4×C79C2311yescharacteristic
309C2×C22⋊C4×C79C2311yescharacteristic
310C2×C22⋊C4×C79C2311yescharacteristic
311C2×C22⋊C4×C79C2311yescharacteristic
312C2×C22⋊C4×C79C2311yescharacteristic
313C2×C22⋊C4×C79C2311yescharacteristic
314C2×C22⋊C4×C79C2311yescharacteristic
315C2×C22⋊C4×C79C2311yescharacteristic
316C2×C22⋊C4×C79C2311yescharacteristic
317C2×C22⋊C4×C79C2311yescharacteristic
318C2×C42×C79C2311yescharacteristic
319C2×C42×C79C2311yescharacteristic
320C2×C42×C79C2311yescharacteristic
321C2×C42×C79C2311yescharacteristic
322C2×C42×C79C2311yescharacteristic
323C2×C42×C79C2311yescharacteristic
324C2×C42×C79C2311yescharacteristic
325C2×C42×C79C2311yescharacteristic
326C2×C42×C79C2311yescharacteristic
327C2×C42×C79C2311yescharacteristic
328C2×C42×C79C2311yescharacteristic
329C2×C42×C79C2311yescharacteristic
330C2×C42×C79C2311yescharacteristic
331C2×C42×C79C2311yescharacteristic
332C2×C42×C79C2311yescharacteristic
333C2×C42×C79C2311yescharacteristic
334C2×C42×C79C2311yescharacteristic
335C2×C42×C79C2311yescharacteristic
336#95×C79C2311yescharacteristic
337#95×C79C2311yescharacteristic
338#95×C79C2311yescharacteristic
339#95×C79C2311yescharacteristic
340#95×C79C2311yescharacteristic
341#95×C79C2311yescharacteristic
342#95×C79C2311yescharacteristic
343#95×C79C2311yescharacteristic
344#95×C79C2311yescharacteristic
345#95×C79C2311yescharacteristic
346#95×C79C2311yescharacteristic
347#95×C79C2311yescharacteristic
348#95×C79C2311yescharacteristic
349#95×C79C2311yescharacteristic
350#95×C79C2311yescharacteristic
351#95×C79C2311yescharacteristic
352#95×C79C2311yescharacteristic
353#95×C79C2311yescharacteristic
354#95×C79C2311yescharacteristic
355#95×C79C2311yescharacteristic
356#95×C79C2311yescharacteristic
357#95×C79C2311yescharacteristic
358#95×C79C2311yescharacteristic
359#95×C79C2311yescharacteristic
360#95×C79C2311yescharacteristic
361#95×C79C2311yescharacteristic
362#95×C79C2311yescharacteristic
363#95×C79C2311yescharacteristic
364#95×C79C2311yescharacteristic
365#95×C79C2311yescharacteristic
366#95×C79C2311yescharacteristic
367#95×C79C2311yescharacteristic
368#95×C79C2311yescharacteristic
369#95×C79C2311yescharacteristic
370#95×C79C2311yescharacteristic
371#95×C79C2311yescharacteristic
372#95×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376C24×C79—22no—
377C24×C79—22no—
378C24×C79—41no—
379C24×C79—41no—
380C24×C79—41no—
381C24×C79—41no—
382C24×C79C22×C414yes—
383C24×C79C2411yescharacteristic
384C24×C79C2411yescharacteristic
385C24×C79C2411yescharacteristic
386C24×C79C2411yescharacteristic
387C24×C79C2411yescharacteristic
388C2×Q8×C79—41no—
389C2×Q8×C79—41no—
390C2×Q8×C79C22×C414yescomplemented
391C2×D4×C79—22no—
392C2×D4×C79—22no—
393C2×D4×C79—22no—
394C2×D4×C79—22no—
395C2×D4×C79—41no—
396C2×D4×C79—41no—
397C2×D4×C79—41no—
398C2×D4×C79—41no—
399C2×D4×C79—41no—
400C2×D4×C79—41no—
401C2×D4×C79—41no—
402C2×D4×C79—41no—
403C2×D4×C79—41no—
404C2×D4×C79—41no—
405C2×D4×C79C22×C414yes—
406C2×D4×C79C22×C414yes—
407C2×D4×C79C22×C414yes—
408C2×D4×C79C22×C414yes—
409C2×D4×C79C22×C414yes—
410C2×D4×C79C22×C414yes—
411C2×D4×C79C22×C414yescomplemented
412C22×C4×C79—22no—
413C22×C4×C79—22no—
414C22×C4×C79—22no—
415C22×C4×C79—22no—
416C22×C4×C79—22no—
417C22×C4×C79—22no—
418C22×C4×C79—22no—
419C22×C4×C79—22no—
420C22×C4×C79—22no—
421C22×C4×C79—22no—
422C22×C4×C79—22no—
423C22×C4×C79—22no—
424C22×C4×C79—41no—
425C22×C4×C79—41no—
426C22×C4×C79—41no—
427C22×C4×C79—41no—
428C22×C4×C79—41no—
429C22×C4×C79—41no—
430C22×C4×C79—41no—
431C22×C4×C79—41no—
432C22×C4×C79—41no—
433C22×C4×C79—41no—
434C22×C4×C79—41no—
435C22×C4×C79—41no—
436C22×C4×C79—41no—
437C22×C4×C79—41no—
438C22×C4×C79—41no—
439C22×C4×C79—41no—
440C22×C4×C79—41no—
441C22×C4×C79—41no—
442C22×C4×C79—41no—
443C22×C4×C79—41no—
444C22×C4×C79—41no—
445C22×C4×C79—41no—
446C22×C4×C79—41no—
447C22×C4×C79—41no—
448C22×C4×C79—41no—
449C22×C4×C79—41no—
450C22×C4×C79—41no—
451C22×C4×C79—41no—
452C22×C4×C79—41no—
453C22×C4×C79—41no—
454C22×C4×C79—41no—
455C22×C4×C79—41no—
456C22×C4×C79—416no—
457C22×C4×C79C22×C414yes—
458C22×C4×C79C22×C414yes—
459C22×C4×C79C22×C414yescomplemented
460C22×C4×C79C22×C414yescomplemented
461C22×C4×C79C2411yescharacteristic
462C22×C4×C79C2411yescharacteristic
463C22×C4×C79C2411yescharacteristic
464C22×C4×C79C2411yescharacteristic
465C22×C4×C79C2411yescharacteristic
466C22×C4×C79C2411yescharacteristic
467C22×C4×C79C2411yescharacteristic
468C22×C4×C79C2411yescharacteristic
469C22×C4×C79C2411yescharacteristic
470C22×C4×C79C2411yescharacteristic
471C22×C4×C79C2411yescharacteristic
472C22×C4×C79C2411yescharacteristic
473C22×C4×C79C2411yescharacteristic
474C22×C4×C79C2411yescharacteristic
475C22×C4×C79C2411yescharacteristic
476C22×C4×C79C2411yescharacteristic
477C22×C4×C79C2411yescharacteristic
478C22×C4×C79C2411yescharacteristic
479C22×C4×C79C2411yescharacteristic
480C22×C4×C79C2411yescharacteristic
481C22×C4×C79C2411yescharacteristic
482C22×C4×C79C2411yescharacteristic
483C22×C4×C79C2411yescharacteristic
484C22×C4×C79C2411yescharacteristic
485C22×C4×C79C2411yescharacteristic
486C22×C4×C79C2411yescharacteristic
487C4⋊C4×C79—22no—
488C4⋊C4×C79—22no—
489C4⋊C4×C79—22no—
490C4⋊C4×C79—22no—
491C4⋊C4×C79—22no—
492C4⋊C4×C79—22no—
493C4⋊C4×C79—41no—
494C4⋊C4×C79—41no—
495C4⋊C4×C79—41no—
496C4⋊C4×C79—41no—
497C4⋊C4×C79—41no—
498C4⋊C4×C79—41no—
499C4⋊C4×C79—41no—
500C4⋊C4×C79—41no—
501C4⋊C4×C79—41no—
502C4⋊C4×C79—41no—
503C4⋊C4×C79—41no—
504C4⋊C4×C79—41no—
505C4⋊C4×C79—41no—
506C4⋊C4×C79—41no—
507C4⋊C4×C79—41no—
508C4⋊C4×C79—41no—
509C4⋊C4×C79—41no—
510C4⋊C4×C79—41no—
511C4⋊C4×C79C22×C414yescomplemented
512C4⋊C4×C79C22×C414yescomplemented
513C4⋊C4×C79C22×C414yescomplemented
514C4⋊C4×C79C22×C414yescomplemented
515C4⋊C4×C79C22×C414yescomplemented
516C4⋊C4×C79C22×C414yescomplemented
517C22⋊C4×C79—22no—
518C22⋊C4×C79—22no—
519C22⋊C4×C79—22no—
520C22⋊C4×C79—22no—
521C22⋊C4×C79—22no—
522C22⋊C4×C79—22no—
523C22⋊C4×C79—41no—
524C22⋊C4×C79—41no—
525C22⋊C4×C79—41no—
526C22⋊C4×C79—41no—
527C22⋊C4×C79—41no—
528C22⋊C4×C79—41no—
529C22⋊C4×C79—41no—
530C22⋊C4×C79—41no—
531C22⋊C4×C79—41no—
532C22⋊C4×C79—41no—
533C22⋊C4×C79—41no—
534C22⋊C4×C79—41no—
535C22⋊C4×C79—41no—
536C22⋊C4×C79—41no—
537C22⋊C4×C79—41no—
538C22⋊C4×C79—41no—
539C22⋊C4×C79—41no—
540C22⋊C4×C79—41no—
541C22⋊C4×C79—41no—
542C22⋊C4×C79—41no—
543C22⋊C4×C79—41no—
544C22⋊C4×C79—41no—
545C22⋊C4×C79C22×C414yes—
546C22⋊C4×C79C22×C414yes—
547C22⋊C4×C79C22×C414yes—
548C22⋊C4×C79C22×C414yes—
549C22⋊C4×C79C22×C414yes—
550C22⋊C4×C79C22×C414yes—
551C22⋊C4×C79C22×C414yes—
552C22⋊C4×C79C22×C414yes—
553C22⋊C4×C79C22×C414yes—
554C22⋊C4×C79C22×C414yes—
555C22⋊C4×C79C22×C414yescomplemented
556C22⋊C4×C79C22×C414yescomplemented
557C22⋊C4×C79C22×C414yescomplemented
558C22⋊C4×C79C22×C414yescomplemented
559C42×C79—22no—
560C42×C79—22no—
561C42×C79—41no—
562C42×C79—41no—
563C42×C79—41no—
564C42×C79—41no—
565C42×C79—41no—
566C42×C79—41no—
567C42×C79—41no—
568C42×C79—41no—
569C42×C79—41no—
570C42×C79—41no—
571C42×C79—41no—
572C42×C79—41no—
573C42×C79—41no—
574C42×C79—41no—
575C42×C79C22×C414yescomplemented
576C42×C79C22×C414yescomplemented
577C23×C79—21no—
578C23×C79—21no—
579C23×C79—21no—
580C23×C79—21no—
581C23×C79—28no—
582C23×C79—21no—
583C23×C79—21no—
584C23×C79—21no—
585C23×C79—21no—
586C23×C79—21no—
587C23×C79—21no—
588C23×C79—21no—
589C23×C79—21no—
590C23×C79—21no—
591C23×C79—21no—
592C23×C79—21no—
593C23×C79—21no—
594C23×C79—21no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—44no—
607C23×C79—44no—
608C23×C79—44no—
609C23×C79—44no—
610C23×C79—44no—
611C23×C79—44no—
612C23×C79C23×C412yes—
613C23×C79C23×C412yes—
614C23×C79C23×C412yes—
615C23×C79C23×C412yes—
616C23×C79C23×C412yes—
617C23×C79H(5,𝔽2)12yes—
618C23×C792−1+412yes—
619C23×C79C2511yescharacteristic
620Q8×C79—44no—
621D4×C79—28no—
622D4×C79—28no—
623D4×C79—44no—
624D4×C79—44no—
625D4×C79—44no—
626D4×C79—44no—
627D4×C79—44no—
628C2×C4×C79—21no—
629C2×C4×C79—21no—
630C2×C4×C79—21no—
631C2×C4×C79—21no—
632C2×C4×C79—21no—
633C2×C4×C79—21no—
634C2×C4×C79—21no—
635C2×C4×C79—21no—
636C2×C4×C79—21no—
637C2×C4×C79—21no—
638C2×C4×C79—21no—
639C2×C4×C79—21no—
640C2×C4×C79—21no—
641C2×C4×C79—21no—
642C2×C4×C79—21no—
643C2×C4×C79—21no—
644C2×C4×C79—21no—
645C2×C4×C79—21no—
646C2×C4×C79—21no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—21no—
689C2×C4×C79—21no—
690C2×C4×C79—21no—
691C2×C4×C79—21no—
692C2×C4×C79—21no—
693C2×C4×C79—21no—
694C2×C4×C79—44no—
695C2×C4×C79—44no—
696C2×C4×C79—44no—
697C2×C4×C79—44no—
698C2×C4×C79—44no—
699C2×C4×C79—44no—
700C2×C4×C79—44no—
701C2×C4×C79—44no—
702C2×C4×C79—44no—
703C2×C4×C79—44no—
704C2×C4×C79—82no—
705C2×C4×C79—82no—
706C2×C4×C79—82no—
707C2×C4×C79—82no—
708C2×C4×C79—82no—
709C2×C4×C79—82no—
710C2×C4×C79C23×C412yes—
711C2×C4×C79C23×C412yes—
712C2×C4×C79C23×C412yes—
713C2×C4×C79C23×C412yes—
714C2×C4×C79C23×C412yes—
715C2×C4×C79C23×C412yes—
716C2×C4×C79C23×C412yes—
717C2×C4×C79C23×C412yes—
718C2×C4×C79C23×C412yes—
719C2×C4×C79C23×C412yes—
720C2×C4×C79H(5,𝔽2)12yes—
721C2×C4×C79H(5,𝔽2)12yes—
722C22×C79—22no—
723C22×C79—22no—
724C22×C79—22no—
725C22×C79—22no—
726C22×C79—22no—
727C22×C79—22no—
728C22×C79—22no—
729C22×C79—22no—
730C22×C79—22no—
731C22×C79—22no—
732C22×C79—22no—
733C22×C79—22no—
734C22×C79—22no—
735C22×C79—22no—
736C22×C79—22no—
737C22×C79—22no—
738C22×C79—22no—
739C22×C79—22no—
740C22×C79—416no—
741C22×C79—41no—
742C22×C79—41no—
743C22×C79—41no—
744C22×C79—41no—
745C22×C79—41no—
746C22×C79—41no—
747C22×C79—41no—
748C22×C79—41no—
749C22×C79—41no—
750C22×C79—41no—
751C22×C79—41no—
752C22×C79—41no—
753C22×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79#52014yes—
758C22×C79C24×C411yescharacteristic
759C22×C79C2×H(5,𝔽2)11yescharacteristic
760C22×C79C2×H(5,𝔽2)11yescharacteristic
761C22×C79C2×H(5,𝔽2)11yescharacteristic
762C22×C79C2×2−1+411yescharacteristic
763C22×C79#58511yescharacteristic
764C22×C79#58511yescharacteristic
765C4×C79—22no—
766C4×C79—22no—
767C4×C79—22no—
768C4×C79—22no—
769C4×C79—22no—
770C4×C79—22no—
771C4×C79—22no—
772C4×C79—22no—
773C4×C79—22no—
774C4×C79—22no—
775C4×C79—22no—
776C4×C79—22no—
777C4×C79—41no—
778C4×C79—41no—
779C4×C79—41no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79—41no—
788C4×C79—41no—
789C4×C79—41no—
790C4×C79—41no—
791#34416C7911yesmaximal, characteristic, direct product factor, Sylow
792C2×C79—24no—
793C2×C79—42no—
794C2×C79—42no—
795C2×C79—42no—
796C2×C79—42no—
797C2×C79C2×#52011yescharacteristic
798C2×C79C4×H(5,𝔽2)11yescharacteristic
799C2×C79C4×H(5,𝔽2)11yescharacteristic
800C2×C79#353211yescharacteristic
801C2×C79#353311yescharacteristic
802C2×C79#354111yescharacteristic
803C2×C79#354111yescharacteristic
804C2×#538C2×C7911yescharacteristic
805#2383C2×C7911yescharacteristic, complemented
806#2379C2×C7911yescharacteristic, complemented
807#2377C2×C7911yescharacteristic, complemented
808#2376C2×C7911yescharacteristic, complemented
809#2373C2×C7911yescharacteristic, complemented
810#2368C2×C7911yescharacteristic, complemented
811#2367C2×C7911yescharacteristic, complemented
812#2364C2×C7911yescharacteristic, complemented
813#2361C2×C7911yescharacteristic, complemented
814#2361C2×C7911yescharacteristic, complemented
815#2360C2×C7911yescharacteristic, complemented
816#2359C2×C7911yescharacteristic, complemented
817#2353C2×C7911yescharacteristic, complemented
818#2352C2×C7911yescharacteristic, complemented
819#2349C2×C7911yescharacteristic, complemented
820D4×C4⋊C4C2×C7911yescharacteristic, complemented
821#2337C2×C7911yescharacteristic, complemented
822#2335C2×C7911yescharacteristic, complemented
823#2334C2×C7911yescharacteristic, complemented
824#2334C2×C7911yescharacteristic, complemented
825#2326C2×C7911yescharacteristic, complemented
826#2325C2×C7911yescharacteristic, complemented
827#2324C2×C7911yescharacteristic, complemented
828#2322C2×C7911yescharacteristic, complemented
829#2321C2×C7911yescharacteristic, complemented
830#2321C2×C7911yescharacteristic, complemented
831#2312C2×C7911yescharacteristic, complemented
832C4×#120C2×C7911yescharacteristic, complemented
833C4×#120C2×C7911yescharacteristic, complemented
834C2×#385C2×C7911yescharacteristic, complemented
835C79#3441611yescharacteristic, direct product factor, Sylow
836C24×C4C22×C7911yescharacteristic
837#538C4×C79116yescomplemented
838C2×#126C22×C7911yescharacteristic
839C2×#126C22×C7911yescharacteristic
840C2×#124C22×C7911yescharacteristic
841C2×#124C22×C7911yescharacteristic
842C2×#123C22×C7911yescharacteristic
843C2×#123C22×C7911yescharacteristic
844C2×C22⋊Q8C22×C7911yescharacteristic
845C2×#121C22×C7911yescharacteristic
846C2×#121C22×C7911yescharacteristic
847C2×#121C22×C7911yescharacteristic
848C2×#120C22×C7911yescharacteristic
849C2×#120C22×C7911yescharacteristic
850C2×C4×Q8C22×C7911yescharacteristic, complemented
851C2×C4×D4C22×C7911yescharacteristic
852C2×C4×D4C22×C7911yescharacteristic
853C2×C4×D4C22×C7911yescharacteristic
854C2×C4×D4C22×C7911yescharacteristic
855C2×C4×D4C22×C7911yescharacteristic
856C2×C4×D4C22×C7911yescharacteristic
857C2×C4×D4C22×C7911yescharacteristic
858C2×C4×D4C22×C7911yescharacteristic
859C2×C4×D4C22×C7911yescharacteristic
860C2×C4×D4C22×C7911yescharacteristic
861C2×C4×D4C22×C7911yescharacteristic, complemented
862C2×#117C22×C7911yescharacteristic, complemented
863C22×C4⋊C4C22×C7911yescharacteristic
864C22×C4⋊C4C22×C7911yescharacteristic
865C22×C4⋊C4C22×C7911yescharacteristic, complemented
866C22×C22⋊C4C22×C7911yescharacteristic
867C22×C22⋊C4C22×C7911yescharacteristic
868#391C22×C7911yescharacteristic, complemented
869#391C22×C7911yescharacteristic, complemented
870#391C22×C7911yescharacteristic, complemented
871#390C22×C7911yescharacteristic
872#390C22×C7911yescharacteristic
873#390C22×C7911yescharacteristic
874#390C22×C7911yescharacteristic
875#390C22×C7911yescharacteristic, complemented
876#389C22×C7911yescharacteristic, complemented
877#389C22×C7911yescharacteristic, complemented
878#389C22×C7911yescharacteristic, complemented
879#389C22×C7911yescharacteristic, complemented
880#389C22×C7911yescharacteristic, complemented
881#389C22×C7911yescharacteristic, complemented
882#389C22×C7911yescharacteristic, complemented
883#389C22×C7911yescharacteristic, complemented
884#388C22×C7911yescharacteristic
885#388C22×C7911yescharacteristic
886#388C22×C7911yescharacteristic
887#388C22×C7911yescharacteristic
888#388C22×C7911yescharacteristic
889#388C22×C7911yescharacteristic
890#388C22×C7911yescharacteristic
891#388C22×C7911yescharacteristic
892#388C22×C7911yescharacteristic
893#388C22×C7911yescharacteristic
894#388C22×C7911yescharacteristic
895#388C22×C7911yescharacteristic
896#388C22×C7911yescharacteristic
897#388C22×C7911yescharacteristic
898#388C22×C7911yescharacteristic
899#388C22×C7911yescharacteristic
900#388C22×C7911yescharacteristic, complemented
901#388C22×C7911yescharacteristic, complemented
902#388C22×C7911yescharacteristic, complemented
903#388C22×C7911yescharacteristic, complemented
904#388C22×C7911yescharacteristic, complemented
905#388C22×C7911yescharacteristic, complemented
906#388C22×C7911yescharacteristic, complemented
907#388C22×C7911yescharacteristic, complemented
908#387C22×C7911yescharacteristic, complemented
909#387C22×C7911yescharacteristic, complemented
910#387C22×C7911yescharacteristic, complemented
911#387C22×C7911yescharacteristic, complemented
912#387C22×C7911yescharacteristic, complemented
913#387C22×C7911yescharacteristic, complemented
914#387C22×C7911yescharacteristic, complemented
915#387C22×C7911yescharacteristic, complemented
916#387C22×C7911yescharacteristic, complemented
917#387C22×C7911yescharacteristic, complemented
918#387C22×C7911yescharacteristic, complemented
919#387C22×C7911yescharacteristic, complemented
920#386C22×C7911yescharacteristic
921#386C22×C7911yescharacteristic
922#386C22×C7911yescharacteristic
923#386C22×C7911yescharacteristic
924#386C22×C7911yescharacteristic
925#386C22×C7911yescharacteristic
926#386C22×C7911yescharacteristic
927#386C22×C7911yescharacteristic
928#386C22×C7911yescharacteristic
929#386C22×C7911yescharacteristic
930#386C22×C7911yescharacteristic
931#386C22×C7911yescharacteristic
932#386C22×C7911yescharacteristic, complemented
933#386C22×C7911yescharacteristic, complemented
934#385C22×C7911yescharacteristic
935#385C22×C7911yescharacteristic
936#385C22×C7911yescharacteristic
937#385C22×C7911yescharacteristic
938#385C22×C7911yescharacteristic
939#385C22×C7911yescharacteristic
940#385C22×C7911yescharacteristic
941#385C22×C7911yescharacteristic
942#385C22×C7911yescharacteristic
943#385C22×C7911yescharacteristic
944#385C22×C7911yescharacteristic
945#385C22×C7911yescharacteristic
946#385C22×C7911yescharacteristic
947#385C22×C7911yescharacteristic
948#385C22×C7911yescharacteristic
949#385C22×C7911yescharacteristic
950#385C22×C7911yescharacteristic, complemented
951#385C22×C7911yescharacteristic, complemented
952#385C22×C7911yescharacteristic, complemented
953#385C22×C7911yescharacteristic, complemented
954#385C22×C7911yescharacteristic, complemented
955#385C22×C7911yescharacteristic, complemented
956#384C22×C7911yescharacteristic, complemented
957#383C22×C7911yescharacteristic, complemented
958#382C22×C7911yescharacteristic, complemented
959#382C22×C7911yescharacteristic, complemented
960#381C22×C7911yescharacteristic, complemented
961#380C22×C7911yescharacteristic
962#380C22×C7911yescharacteristic
963#380C22×C7911yescharacteristic, complemented
964#380C22×C7911yescharacteristic, complemented
965#380C22×C7911yescharacteristic, complemented
966#379C22×C7911yescharacteristic
967#379C22×C7911yescharacteristic
968C4×C4⋊C4C22×C7911yescharacteristic, complemented
969C4×C4⋊C4C22×C7911yescharacteristic, complemented
970C4×C4⋊C4C22×C7911yescharacteristic, complemented
971C4×C4⋊C4C22×C7911yescharacteristic, complemented
972C4×C4⋊C4C22×C7911yescharacteristic, complemented
973C4×C4⋊C4C22×C7911yescharacteristic, complemented
974C4×C4⋊C4C22×C7911yescharacteristic, complemented
975C4×C22⋊C4C22×C7911yescharacteristic
976C4×C22⋊C4C22×C7911yescharacteristic
977C4×C22⋊C4C22×C7911yescharacteristic
978C4×C22⋊C4C22×C7911yescharacteristic
979C4×C22⋊C4C22×C7911yescharacteristic
980C4×C22⋊C4C22×C7911yescharacteristic
981C4×C22⋊C4C22×C7911yescharacteristic
982C4×C22⋊C4C22×C7911yescharacteristic
983C4×C22⋊C4C22×C7911yescharacteristic
984C4×C22⋊C4C22×C7911yescharacteristic
985C4×C22⋊C4C22×C7911yescharacteristic, complemented
986C4×C22⋊C4C22×C7911yescharacteristic, complemented
987C4×C22⋊C4C22×C7911yescharacteristic, complemented
988#376C22×C7911yescharacteristic, complemented
989C2×#95C22×C7911yescharacteristic
990C2×#95C22×C7911yescharacteristic
991C2×#95C22×C7911yescharacteristic, complemented
992C25C23×C7911yescharacteristic
993C22×Q8C23×C7911yescharacteristic
994C22×D4C23×C7911yescharacteristic
995C22×D4C23×C7911yescharacteristic
996C22×D4C23×C7911yescharacteristic
997C22×D4C23×C7911yescharacteristic
998C22×D4C23×C7911yescharacteristic
999C22×D4C23×C7911yescharacteristic
1000C22×D4C23×C7911yescharacteristic
1001C23×C4—42no—
1002C23×C4—42no—
1003C23×C4—42no—
1004C23×C4C23×C7911yescharacteristic
1005C23×C4C23×C7911yescharacteristic
1006C23×C4C23×C7911yescharacteristic
1007C23×C4C23×C7911yescharacteristic
1008C23×C4C23×C7911yescharacteristic
1009C23×C4C23×C7911yescharacteristic
1010C23×C4C23×C7911yescharacteristic
1011C23×C4C23×C7911yescharacteristic
1012C23×C4C23×C7911yescharacteristic
1013C23×C4C23×C7911yescharacteristic
1014C23×C4C23×C7911yescharacteristic
1015C23×C4C23×C7911yescharacteristic
1016C23×C4C23×C7911yescharacteristic
1017C23×C4C23×C7911yescharacteristic
1018C23×C4C23×C7911yescharacteristic
1019C23×C4C23×C7911yescharacteristic
1020#126C2×C4×C7918yescomplemented
1021#126C2×C4×C7918yescomplemented
1022#124C2×C4×C7918yescomplemented
1023#124C2×C4×C7918yescomplemented
1024#123C2×C4×C7918yescomplemented
1025#123C2×C4×C7918yescomplemented
1026C22⋊Q8C2×C4×C7918yescomplemented
1027#121C2×C4×C7918yescomplemented
1028#121C2×C4×C7918yescomplemented
1029#121C2×C4×C7918yescomplemented
1030#120C2×C4×C7918yescomplemented
1031#120C2×C4×C7918yescomplemented
1032C4×Q8—42no—
1033C4×D4—42no—
1034C4×D4—42no—
1035C4×D4—42no—
1036C4×D4—42no—
1037C4×D4—42no—
1038C4×D4—42no—
1039C4×D4—42no—
1040C4×D4—42no—
1041C4×D4—42no—
1042C4×D4C2×C4×C7918yescomplemented
1043C4×D4C2×C4×C7918yescomplemented
1044#117—42no—
1045C2×C4⋊C4—42no—
1046C2×C4⋊C4—42no—
1047C2×C4⋊C4—42no—
1048C2×C4⋊C4C23×C7911yescharacteristic
1049C2×C4⋊C4C23×C7911yescharacteristic
1050C2×C4⋊C4C23×C7911yescharacteristic
1051C2×C4⋊C4C23×C7911yescharacteristic
1052C2×C4⋊C4C23×C7911yescharacteristic
1053C2×C4⋊C4C23×C7911yescharacteristic
1054C2×C4⋊C4C23×C7911yescharacteristic
1055C2×C4⋊C4C23×C7911yescharacteristic
1056C2×C4⋊C4C23×C7911yescharacteristic
1057C2×C4⋊C4C23×C7911yescharacteristic
1058C2×C4⋊C4C23×C7911yescharacteristic
1059C2×C4⋊C4C23×C7911yescharacteristic
1060C2×C4⋊C4C23×C7911yescharacteristic
1061C2×C4⋊C4C23×C7911yescharacteristic
1062C2×C4⋊C4C23×C7911yescharacteristic
1063C2×C4⋊C4C23×C7911yescharacteristic
1064C2×C4⋊C4C23×C7911yescharacteristic
1065C2×C4⋊C4C23×C7911yescharacteristic
1066C2×C4⋊C4C23×C7911yescharacteristic
1067C2×C4⋊C4C23×C7911yescharacteristic
1068C2×C4⋊C4C23×C7911yescharacteristic
1069C2×C4⋊C4C23×C7911yescharacteristic
1070C2×C4⋊C4C23×C7911yescharacteristic
1071C2×C4⋊C4C23×C7911yescharacteristic
1072C2×C4⋊C4C23×C7911yescharacteristic
1073C2×C4⋊C4C23×C7911yescharacteristic
1074C2×C4⋊C4C23×C7911yescharacteristic
1075C2×C4⋊C4C23×C7911yescharacteristic
1076C2×C4⋊C4C23×C7911yescharacteristic
1077C2×C4⋊C4C23×C7911yescharacteristic
1078C2×C22⋊C4—42no—
1079C2×C22⋊C4C2×C4×C7918yescomplemented
1080C2×C22⋊C4C23×C7911yescharacteristic
1081C2×C22⋊C4C23×C7911yescharacteristic
1082C2×C22⋊C4C23×C7911yescharacteristic
1083C2×C22⋊C4C23×C7911yescharacteristic
1084C2×C22⋊C4C23×C7911yescharacteristic
1085C2×C22⋊C4C23×C7911yescharacteristic
1086C2×C22⋊C4C23×C7911yescharacteristic
1087C2×C22⋊C4C23×C7911yescharacteristic
1088C2×C22⋊C4C23×C7911yescharacteristic
1089C2×C22⋊C4C23×C7911yescharacteristic
1090C2×C22⋊C4C23×C7911yescharacteristic
1091C2×C22⋊C4C23×C7911yescharacteristic
1092C2×C22⋊C4C23×C7911yescharacteristic
1093C2×C22⋊C4C23×C7911yescharacteristic
1094C2×C22⋊C4C23×C7911yescharacteristic
1095C2×C22⋊C4C23×C7911yescharacteristic
1096C2×C22⋊C4C23×C7911yescharacteristic
1097C2×C22⋊C4C23×C7911yescharacteristic
1098C2×C22⋊C4C23×C7911yescharacteristic
1099C2×C22⋊C4C23×C7911yescharacteristic
1100C2×C22⋊C4C23×C7911yescharacteristic
1101C2×C22⋊C4C23×C7911yescharacteristic
1102C2×C22⋊C4C23×C7911yescharacteristic
1103C2×C22⋊C4C23×C7911yescharacteristic
1104C2×C22⋊C4C23×C7911yescharacteristic
1105C2×C22⋊C4C23×C7911yescharacteristic
1106C2×C22⋊C4C23×C7911yescharacteristic
1107C2×C22⋊C4C23×C7911yescharacteristic
1108C2×C22⋊C4C23×C7911yescharacteristic
1109C2×C22⋊C4C23×C7911yescharacteristic
1110C2×C22⋊C4C23×C7911yescharacteristic
1111C2×C22⋊C4C23×C7911yescharacteristic
1112C2×C22⋊C4C23×C7911yescharacteristic
1113C2×C22⋊C4C23×C7911yescharacteristic
1114C2×C22⋊C4C23×C7911yescharacteristic
1115C2×C22⋊C4C23×C7911yescharacteristic
1116C2×C22⋊C4C23×C7911yescharacteristic
1117C2×C22⋊C4C23×C7911yescharacteristic
1118C2×C22⋊C4C23×C7911yescharacteristic
1119C2×C22⋊C4C23×C7911yescharacteristic
1120C2×C22⋊C4C23×C7911yescharacteristic
1121C2×C22⋊C4C23×C7911yescharacteristic
1122C2×C42C23×C7911yescharacteristic
1123C2×C42C23×C7911yescharacteristic
1124C2×C42C23×C7911yescharacteristic
1125C2×C42C23×C7911yescharacteristic
1126C2×C42C23×C7911yescharacteristic
1127C2×C42C23×C7911yescharacteristic
1128C2×C42C23×C7911yescharacteristic
1129C2×C42C23×C7911yescharacteristic
1130C2×C42C23×C7911yescharacteristic
1131C2×C42C23×C7911yescharacteristic
1132C2×C42C23×C7911yescharacteristic
1133C2×C42C23×C7911yescharacteristic
1134C2×C42C23×C7911yescharacteristic
1135C2×C42C23×C7911yescharacteristic
1136C2×C42C23×C7911yescharacteristic
1137C2×C42C23×C7911yescharacteristic
1138C2×C42C23×C7911yescharacteristic
1139C2×C42C23×C7911yescharacteristic
1140#95C23×C7911yescharacteristic
1141#95C23×C7911yescharacteristic
1142#95C23×C7911yescharacteristic
1143#95C23×C7911yescharacteristic
1144#95C23×C7911yescharacteristic
1145#95C23×C7911yescharacteristic
1146#95C23×C7911yescharacteristic
1147#95C23×C7911yescharacteristic
1148#95C23×C7911yescharacteristic
1149#95C23×C7911yescharacteristic
1150#95C23×C7911yescharacteristic
1151#95C23×C7911yescharacteristic
1152#95C23×C7911yescharacteristic
1153#95C23×C7911yescharacteristic
1154#95C23×C7911yescharacteristic
1155#95C23×C7911yescharacteristic
1156#95C23×C7911yescharacteristic
1157#95C23×C7911yescharacteristic
1158#95C23×C7911yescharacteristic
1159#95C23×C7911yescharacteristic
1160#95C23×C7911yescharacteristic
1161#95C23×C7911yescharacteristic
1162#95C23×C7911yescharacteristic
1163#95C23×C7911yescharacteristic
1164#95C23×C7911yescharacteristic
1165#95C23×C7911yescharacteristic
1166#95C23×C7911yescharacteristic
1167#95C23×C7911yescharacteristic
1168#95C23×C7911yescharacteristic
1169#95C23×C7911yescharacteristic
1170#95C23×C7911yescharacteristic
1171#95C23×C7911yescharacteristic
1172#95C23×C7911yescharacteristic
1173#95C23×C7911yescharacteristic
1174#95C23×C7911yescharacteristic
1175#95C23×C7911yescharacteristic
1176#95C23×C7911yescharacteristic
1177#95C23×C7911yescharacteristic
1178#95C23×C7911yescharacteristic
1179#95C23×C7911yescharacteristic
1180C24—22no—
1181C24—22no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24C22×C4×C7914yes—
1187C24C24×C7911yescharacteristic
1188C24C24×C7911yescharacteristic
1189C24C24×C7911yescharacteristic
1190C24C24×C7911yescharacteristic
1191C24C24×C7911yescharacteristic
1192C2×Q8—41no—
1193C2×Q8—41no—
1194C2×Q8C22×C4×C7914yescomplemented
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4C22×C4×C7914yes—
1210C2×D4C22×C4×C7914yes—
1211C2×D4C22×C4×C7914yes—
1212C2×D4C22×C4×C7914yes—
1213C2×D4C22×C4×C7914yes—
1214C2×D4C22×C4×C7914yes—
1215C2×D4C22×C4×C7914yescomplemented
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—416no—
1261C22×C4C22×C4×C7914yes—
1262C22×C4C22×C4×C7914yes—
1263C22×C4C22×C4×C7914yescomplemented
1264C22×C4C22×C4×C7914yescomplemented
1265C22×C4C24×C7911yescharacteristic
1266C22×C4C24×C7911yescharacteristic
1267C22×C4C24×C7911yescharacteristic
1268C22×C4C24×C7911yescharacteristic
1269C22×C4C24×C7911yescharacteristic
1270C22×C4C24×C7911yescharacteristic
1271C22×C4C24×C7911yescharacteristic
1272C22×C4C24×C7911yescharacteristic
1273C22×C4C24×C7911yescharacteristic
1274C22×C4C24×C7911yescharacteristic
1275C22×C4C24×C7911yescharacteristic
1276C22×C4C24×C7911yescharacteristic
1277C22×C4C24×C7911yescharacteristic
1278C22×C4C24×C7911yescharacteristic
1279C22×C4C24×C7911yescharacteristic
1280C22×C4C24×C7911yescharacteristic
1281C22×C4C24×C7911yescharacteristic
1282C22×C4C24×C7911yescharacteristic
1283C22×C4C24×C7911yescharacteristic
1284C22×C4C24×C7911yescharacteristic
1285C22×C4C24×C7911yescharacteristic
1286C22×C4C24×C7911yescharacteristic
1287C22×C4C24×C7911yescharacteristic
1288C22×C4C24×C7911yescharacteristic
1289C22×C4C24×C7911yescharacteristic
1290C22×C4C24×C7911yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4C22×C4×C7914yescomplemented
1316C4⋊C4C22×C4×C7914yescomplemented
1317C4⋊C4C22×C4×C7914yescomplemented
1318C4⋊C4C22×C4×C7914yescomplemented
1319C4⋊C4C22×C4×C7914yescomplemented
1320C4⋊C4C22×C4×C7914yescomplemented
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4C22×C4×C7914yes—
1350C22⋊C4C22×C4×C7914yes—
1351C22⋊C4C22×C4×C7914yes—
1352C22⋊C4C22×C4×C7914yes—
1353C22⋊C4C22×C4×C7914yes—
1354C22⋊C4C22×C4×C7914yes—
1355C22⋊C4C22×C4×C7914yes—
1356C22⋊C4C22×C4×C7914yes—
1357C22⋊C4C22×C4×C7914yes—
1358C22⋊C4C22×C4×C7914yes—
1359C22⋊C4C22×C4×C7914yescomplemented
1360C22⋊C4C22×C4×C7914yescomplemented
1361C22⋊C4C22×C4×C7914yescomplemented
1362C22⋊C4C22×C4×C7914yescomplemented
1363C42—22no—
1364C42—22no—
1365C42—41no—
1366C42—41no—
1367C42—41no—
1368C42—41no—
1369C42—41no—
1370C42—41no—
1371C42—41no—
1372C42—41no—
1373C42—41no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42—41no—
1378C42—41no—
1379C42C22×C4×C7914yescomplemented
1380C42C22×C4×C7914yescomplemented
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—28no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23C23×C4×C7912yes—
1417C23C23×C4×C7912yes—
1418C23C23×C4×C7912yes—
1419C23C23×C4×C7912yes—
1420C23C23×C4×C7912yes—
1421C23H(5,𝔽2)×C7912yes—
1422C232−1+4×C7912yes—
1423C23C25×C7911yescharacteristic
1424Q8—44no—
1425D4—28no—
1426D4—28no—
1427D4—44no—
1428D4—44no—
1429D4—44no—
1430D4—44no—
1431D4—44no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—82no—
1509C2×C4—82no—
1510C2×C4—82no—
1511C2×C4—82no—
1512C2×C4—82no—
1513C2×C4—82no—
1514C2×C4C23×C4×C7912yes—
1515C2×C4C23×C4×C7912yes—
1516C2×C4C23×C4×C7912yes—
1517C2×C4C23×C4×C7912yes—
1518C2×C4C23×C4×C7912yes—
1519C2×C4C23×C4×C7912yes—
1520C2×C4C23×C4×C7912yes—
1521C2×C4C23×C4×C7912yes—
1522C2×C4C23×C4×C7912yes—
1523C2×C4C23×C4×C7912yes—
1524C2×C4H(5,𝔽2)×C7912yes—
1525C2×C4H(5,𝔽2)×C7912yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—416no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22#520×C7914yes—
1562C22C24×C4×C7911yescharacteristic
1563C22C2×H(5,𝔽2)×C7911yescharacteristic
1564C22C2×H(5,𝔽2)×C7911yescharacteristic
1565C22C2×H(5,𝔽2)×C7911yescharacteristic
1566C22C2×2−1+4×C7911yescharacteristic
1567C22#585×C7911yescharacteristic
1568C22#585×C7911yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C2—24no—
1596C2—42no—
1597C2—42no—
1598C2—42no—
1599C2—42no—
1600C2C2×#520×C7911yescharacteristic
1601C2C4×H(5,𝔽2)×C7911yescharacteristic
1602C2C4×H(5,𝔽2)×C7911yescharacteristic
1603C2C79×#353211yescharacteristic
1604C2C79×#353311yescharacteristic
1605C2C79×#354111yescharacteristic
1606C2C79×#354111yescharacteristic
subgroupG/H
center, socleC23×C79C25
commutatorC22C24×C4×C79
Frattini, cosocleC23C25×C79
prime radicalC2×#538×C79C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C79 ◁ G

Complements

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

NH ≅ G/Ntype
2. C79×#2383C2semidirect
3. C79×#2379C2semidirect
4. C79×#2377C2semidirect
5. C79×#2376C2semidirect
6. C79×#2373C2semidirect
7. C79×#2368C2semidirect
8. C79×#2367C2semidirect
9. C79×#2364C2semidirect
10. C79×#2361C2semidirect
11. C79×#2361C2semidirect
12. C79×#2360C2semidirect
13. C79×#2359C2semidirect
14. C79×#2353C2semidirect
15. C79×#2352C2semidirect
16. C79×#2349C2semidirect
17. D4×C4⋊C4×C79C2semidirect
18. C79×#2337C2semidirect
19. C79×#2335C2semidirect
20. C79×#2334C2semidirect
21. C79×#2334C2semidirect
22. C79×#2326C2semidirect
23. C79×#2325C2semidirect
24. C79×#2324C2semidirect
25. C79×#2322C2semidirect
26. C79×#2321C2semidirect
27. C79×#2321C2semidirect
28. C79×#2312C2semidirect
29. C4×#120×C79C2semidirect
30. C4×#120×C79C2semidirect
31. C2×#385×C79C2semidirect
33. #538×C79C4semidirect
46. C2×C4×Q8×C79C22semidirect
57. C2×C4×D4×C79C22semidirect
58. C2×#117×C79C22semidirect
61. C22×C4⋊C4×C79C22semidirect
64. #391×C79C22semidirect
65. #391×C79C22semidirect
66. #391×C79C22semidirect
71. #390×C79C22semidirect
72. #389×C79C22semidirect
73. #389×C79C22semidirect
74. #389×C79C22semidirect
75. #389×C79C22semidirect
76. #389×C79C22semidirect
77. #389×C79C22semidirect
78. #389×C79C22semidirect
79. #389×C79C22semidirect
96. #388×C79C22semidirect
97. #388×C79C22semidirect
98. #388×C79C22semidirect
99. #388×C79C22semidirect
100. #388×C79C22semidirect
101. #388×C79C22semidirect
102. #388×C79C22semidirect
103. #388×C79C22semidirect
104. #387×C79C22semidirect
105. #387×C79C22semidirect
106. #387×C79C22semidirect
107. #387×C79C22semidirect
108. #387×C79C22semidirect
109. #387×C79C22semidirect
110. #387×C79C22semidirect
111. #387×C79C22semidirect
112. #387×C79C22semidirect
113. #387×C79C22semidirect
114. #387×C79C22semidirect
115. #387×C79C22semidirect
128. #386×C79C22semidirect
129. #386×C79C22semidirect
146. #385×C79C22semidirect
147. #385×C79C22semidirect
148. #385×C79C22semidirect
149. #385×C79C22semidirect
150. #385×C79C22semidirect
151. #385×C79C22semidirect
152. #384×C79C22semidirect
153. #383×C79C22semidirect
154. #382×C79C22semidirect
155. #382×C79C22semidirect
156. #381×C79C22semidirect
159. #380×C79C22semidirect
160. #380×C79C22semidirect
161. #380×C79C22semidirect
164. C4×C4⋊C4×C79C22semidirect
165. C4×C4⋊C4×C79C22semidirect
166. C4×C4⋊C4×C79C22semidirect
167. C4×C4⋊C4×C79C22semidirect
168. C4×C4⋊C4×C79C22semidirect
169. C4×C4⋊C4×C79C22semidirect
170. C4×C4⋊C4×C79C22semidirect
181. C4×C22⋊C4×C79C22semidirect
182. C4×C22⋊C4×C79C22semidirect
183. C4×C22⋊C4×C79C22semidirect
184. #376×C79C22semidirect
187. C2×#95×C79C22semidirect
216. #126×C79C2×C4semidirect
217. #126×C79C2×C4semidirect
218. #124×C79C2×C4semidirect
219. #124×C79C2×C4semidirect
220. #123×C79C2×C4semidirect
221. #123×C79C2×C4semidirect
222. C22⋊Q8×C79C2×C4semidirect
223. #121×C79C2×C4semidirect
224. #121×C79C2×C4semidirect
225. #121×C79C2×C4semidirect
226. #120×C79C2×C4semidirect
227. #120×C79C2×C4semidirect
238. C4×D4×C79C2×C4semidirect
239. C4×D4×C79C2×C4semidirect
275. C2×C22⋊C4×C79C2×C4semidirect
390. C2×Q8×C79C22×C4semidirect
411. C2×D4×C79C22×C4semidirect
459. C22×C4×C79C22×C4semidirect
460. C22×C4×C79C22×C4semidirect
511. C4⋊C4×C79C22×C4semidirect
512. C4⋊C4×C79C22×C4semidirect
513. C4⋊C4×C79C22×C4semidirect
514. C4⋊C4×C79C22×C4semidirect
515. C4⋊C4×C79C22×C4semidirect
516. C4⋊C4×C79C22×C4semidirect
555. C22⋊C4×C79C22×C4semidirect
556. C22⋊C4×C79C22×C4semidirect
557. C22⋊C4×C79C22×C4semidirect
558. C22⋊C4×C79C22×C4semidirect
575. C42×C79C22×C4semidirect
576. C42×C79C22×C4semidirect
791. #34416C79direct (N × H)
805. #2383C2×C79semidirect
806. #2379C2×C79semidirect
807. #2377C2×C79semidirect
808. #2376C2×C79semidirect
809. #2373C2×C79semidirect
810. #2368C2×C79semidirect
811. #2367C2×C79semidirect
812. #2364C2×C79semidirect
813. #2361C2×C79semidirect
814. #2361C2×C79semidirect
815. #2360C2×C79semidirect
816. #2359C2×C79semidirect
817. #2353C2×C79semidirect
818. #2352C2×C79semidirect
819. #2349C2×C79semidirect
820. D4×C4⋊C4C2×C79semidirect
821. #2337C2×C79semidirect
822. #2335C2×C79semidirect
823. #2334C2×C79semidirect
824. #2334C2×C79semidirect
825. #2326C2×C79semidirect
826. #2325C2×C79semidirect
827. #2324C2×C79semidirect
828. #2322C2×C79semidirect
829. #2321C2×C79semidirect
830. #2321C2×C79semidirect
831. #2312C2×C79semidirect
832. C4×#120C2×C79semidirect
833. C4×#120C2×C79semidirect
834. C2×#385C2×C79semidirect
835. C79#34416direct (N × H)
837. #538C4×C79semidirect
850. C2×C4×Q8C22×C79semidirect
861. C2×C4×D4C22×C79semidirect
862. C2×#117C22×C79semidirect
865. C22×C4⋊C4C22×C79semidirect
868. #391C22×C79semidirect
869. #391C22×C79semidirect
870. #391C22×C79semidirect
875. #390C22×C79semidirect
876. #389C22×C79semidirect
877. #389C22×C79semidirect
878. #389C22×C79semidirect
879. #389C22×C79semidirect
880. #389C22×C79semidirect
881. #389C22×C79semidirect
882. #389C22×C79semidirect
883. #389C22×C79semidirect
900. #388C22×C79semidirect
901. #388C22×C79semidirect
902. #388C22×C79semidirect
903. #388C22×C79semidirect
904. #388C22×C79semidirect
905. #388C22×C79semidirect
906. #388C22×C79semidirect
907. #388C22×C79semidirect
908. #387C22×C79semidirect
909. #387C22×C79semidirect
910. #387C22×C79semidirect
911. #387C22×C79semidirect
912. #387C22×C79semidirect
913. #387C22×C79semidirect
914. #387C22×C79semidirect
915. #387C22×C79semidirect
916. #387C22×C79semidirect
917. #387C22×C79semidirect
918. #387C22×C79semidirect
919. #387C22×C79semidirect
932. #386C22×C79semidirect
933. #386C22×C79semidirect
950. #385C22×C79semidirect
951. #385C22×C79semidirect
952. #385C22×C79semidirect
953. #385C22×C79semidirect
954. #385C22×C79semidirect
955. #385C22×C79semidirect
956. #384C22×C79semidirect
957. #383C22×C79semidirect
958. #382C22×C79semidirect
959. #382C22×C79semidirect
960. #381C22×C79semidirect
963. #380C22×C79semidirect
964. #380C22×C79semidirect
965. #380C22×C79semidirect
968. C4×C4⋊C4C22×C79semidirect
969. C4×C4⋊C4C22×C79semidirect
970. C4×C4⋊C4C22×C79semidirect
971. C4×C4⋊C4C22×C79semidirect
972. C4×C4⋊C4C22×C79semidirect
973. C4×C4⋊C4C22×C79semidirect
974. C4×C4⋊C4C22×C79semidirect
985. C4×C22⋊C4C22×C79semidirect
986. C4×C22⋊C4C22×C79semidirect
987. C4×C22⋊C4C22×C79semidirect
988. #376C22×C79semidirect
991. C2×#95C22×C79semidirect
1020. #126C2×C4×C79semidirect
1021. #126C2×C4×C79semidirect
1022. #124C2×C4×C79semidirect
1023. #124C2×C4×C79semidirect
1024. #123C2×C4×C79semidirect
1025. #123C2×C4×C79semidirect
1026. C22⋊Q8C2×C4×C79semidirect
1027. #121C2×C4×C79semidirect
1028. #121C2×C4×C79semidirect
1029. #121C2×C4×C79semidirect
1030. #120C2×C4×C79semidirect
1031. #120C2×C4×C79semidirect
1042. C4×D4C2×C4×C79semidirect
1043. C4×D4C2×C4×C79semidirect
1079. C2×C22⋊C4C2×C4×C79semidirect
1194. C2×Q8C22×C4×C79semidirect
1215. C2×D4C22×C4×C79semidirect
1263. C22×C4C22×C4×C79semidirect
1264. C22×C4C22×C4×C79semidirect
1315. C4⋊C4C22×C4×C79semidirect
1316. C4⋊C4C22×C4×C79semidirect
1317. C4⋊C4C22×C4×C79semidirect
1318. C4⋊C4C22×C4×C79semidirect
1319. C4⋊C4C22×C4×C79semidirect
1320. C4⋊C4C22×C4×C79semidirect
1359. C22⋊C4C22×C4×C79semidirect
1360. C22⋊C4C22×C4×C79semidirect
1361. C22⋊C4C22×C4×C79semidirect
1362. C22⋊C4C22×C4×C79semidirect
1379. C42C22×C4×C79semidirect
1380. C42C22×C4×C79semidirect

Maximal subgroups

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

subgroupindex
C2×#538×C792
C79×#23832
C79×#23792
C79×#23772
C79×#23762
C79×#23732
C79×#23682
C79×#23672
C79×#23642
C79×#23612
C79×#23602
C79×#23592
C79×#23532
C79×#23522
C79×#23492
D4×C4⋊C4×C792
C79×#23372
C79×#23352
C79×#23342
C79×#23262
C79×#23252
C79×#23242
C79×#23222
C79×#23212
C79×#23122
C4×#120×C792
C2×#385×C792
#3441679