Finite Group Databasebeta

← C79×#34519 #34146208

Subgroups — C79×#34519 #34146208

Order 20224.

2224 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#562×C79C211yesmaximal, characteristic
2C79×#2378C211yesmaximal, characteristic, complemented
3C79×#2377C211yesmaximal, characteristic, complemented
4C79×#2376C211yesmaximal, characteristic, complemented
5C79×#2374C211yesmaximal, characteristic, complemented
6C79×#2372C211yesmaximal, characteristic, complemented
7C79×#2372C211yesmaximal, characteristic, complemented
8C79×#2371C211yesmaximal, characteristic, complemented
9C79×#2368C211yesmaximal, characteristic, complemented
10C79×#2364C211yesmaximal, characteristic, complemented
11C79×#2363C211yesmaximal, characteristic, complemented
12C79×#2362C211yesmaximal, characteristic, complemented
13C79×#2361C211yesmaximal, characteristic, complemented
14C79×#2360C211yesmaximal, characteristic, complemented
15C79×#2359C211yesmaximal, characteristic, complemented
16C79×#2359C211yesmaximal, characteristic, complemented
17C79×#2335C211yesmaximal, characteristic, complemented
18C79×#2335C211yesmaximal, characteristic, complemented
19C79×#2333C211yesmaximal, characteristic, complemented
20C79×#2332C211yesmaximal, characteristic, complemented
21C79×#2330C211yesmaximal, characteristic, complemented
22C79×#2329C211yesmaximal, characteristic, complemented
23C79×#2326C211yesmaximal, characteristic, complemented
24C79×#2326C211yesmaximal, characteristic, complemented
25C79×#2325C211yesmaximal, characteristic, complemented
26C79×#2324C211yesmaximal, characteristic, complemented
27C79×#2323C211yesmaximal, characteristic, complemented
28C79×#2322C211yesmaximal, characteristic, complemented
29C4×C22⋊Q8×C79C211yesmaximal, characteristic, complemented
30C4×#123×C79C211yesmaximal, characteristic, complemented
31C4×#121×C79C211yesmaximal, characteristic, complemented
32#562×C79C4116yescomplemented
33C2×#125×C79C2211yescharacteristic
34C2×#124×C79C2211yescharacteristic
35C2×#124×C79C2211yescharacteristic
36C2×#123×C79C2211yescharacteristic
37C2×#123×C79C2211yescharacteristic
38C2×#123×C79C2211yescharacteristic
39C2×#123×C79C2211yescharacteristic
40C2×C22⋊Q8×C79C2211yescharacteristic
41C2×C22⋊Q8×C79C2211yescharacteristic
42C2×C22⋊Q8×C79C2211yescharacteristic
43C2×C22⋊Q8×C79C2211yescharacteristic
44C2×#121×C79C2211yescharacteristic
45C2×#121×C79C2211yescharacteristic
46C2×#121×C79C2211yescharacteristic
47C2×#121×C79C2211yescharacteristic
48C2×C4×Q8×C79C2211yescharacteristic
49C2×C4×Q8×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×#117×C79C2211yescharacteristic
57C2×#117×C79C2211yescharacteristic
58C22×C4⋊C4×C79C2211yescharacteristic
59C22×C42×C79C2211yescharacteristic
60#391×C79C2211yescharacteristic
61#391×C79C2211yescharacteristic
62#391×C79C2211yescharacteristic
63#391×C79C2211yescharacteristic
64#391×C79C2211yescharacteristic
65#391×C79C2211yescharacteristic
66#390×C79C2211yescharacteristic
67#390×C79C2211yescharacteristic
68#390×C79C2211yescharacteristic
69#390×C79C2211yescharacteristic
70#390×C79C2211yescharacteristic
71#390×C79C2211yescharacteristic
72#389×C79C2211yescharacteristic
73#389×C79C2211yescharacteristic
74#389×C79C2211yescharacteristic
75#389×C79C2211yescharacteristic
76#389×C79C2211yescharacteristic
77#389×C79C2211yescharacteristic
78#389×C79C2211yescharacteristic
79#389×C79C2211yescharacteristic
80#389×C79C2211yescharacteristic
81#389×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
97#388×C79C2211yescharacteristic
98#388×C79C2211yescharacteristic
99#388×C79C2211yescharacteristic
100#388×C79C2211yescharacteristic
101#388×C79C2211yescharacteristic
102#388×C79C2211yescharacteristic
103#388×C79C2211yescharacteristic
104#388×C79C2211yescharacteristic
105#388×C79C2211yescharacteristic
106#387×C79C2211yescharacteristic
107#387×C79C2211yescharacteristic
108#387×C79C2211yescharacteristic
109#387×C79C2211yescharacteristic
110#387×C79C2211yescharacteristic
111#387×C79C2211yescharacteristic
112#387×C79C2211yescharacteristic
113#387×C79C2211yescharacteristic
114#387×C79C2211yescharacteristic
115#387×C79C2211yescharacteristic
116#387×C79C2211yescharacteristic
117#387×C79C2211yescharacteristic
118#387×C79C2211yescharacteristic
119#387×C79C2211yescharacteristic
120#387×C79C2211yescharacteristic
121#387×C79C2211yescharacteristic
122#387×C79C2211yescharacteristic
123#387×C79C2211yescharacteristic
124#387×C79C2211yescharacteristic
125#387×C79C2211yescharacteristic
126#386×C79C2211yescharacteristic
127#386×C79C2211yescharacteristic
128#386×C79C2211yescharacteristic
129#386×C79C2211yescharacteristic
130#386×C79C2211yescharacteristic
131#386×C79C2211yescharacteristic
132#386×C79C2211yescharacteristic
133#386×C79C2211yescharacteristic
134#386×C79C2211yescharacteristic
135#386×C79C2211yescharacteristic
136#386×C79C2211yescharacteristic
137#386×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
147#385×C79C2211yescharacteristic
148#385×C79C2211yescharacteristic
149#385×C79C2211yescharacteristic
150#384×C79C2211yescharacteristic
151#381×C79C2211yescharacteristic
152#381×C79C2211yescharacteristic
153#380×C79C2211yescharacteristic
154#380×C79C2211yescharacteristic
155#380×C79C2211yescharacteristic
156#380×C79C2211yescharacteristic
157C4×C4⋊C4×C79C2211yescharacteristic
158C4×C4⋊C4×C79C2211yescharacteristic
159C4×C4⋊C4×C79C2211yescharacteristic
160C4×C4⋊C4×C79C2211yescharacteristic
161C4×C4⋊C4×C79C2211yescharacteristic
162C4×C4⋊C4×C79C2211yescharacteristic
163C4×C4⋊C4×C79C2211yescharacteristic
164C4×C4⋊C4×C79C2211yescharacteristic
165C4×C4⋊C4×C79C2211yescharacteristic
166C4×C4⋊C4×C79C2211yescharacteristic
167C4×C22⋊C4×C79C2211yescharacteristic
168C4×C22⋊C4×C79C2211yescharacteristic
169C4×C22⋊C4×C79C2211yescharacteristic
170C4×C22⋊C4×C79C2211yescharacteristic
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
182C4×C22⋊C4×C79C2211yescharacteristic
183#376×C79C2211yescharacteristic
184#376×C79C2211yescharacteristic
185#376×C79C2211yescharacteristic
186C2×#95×C79C2211yescharacteristic
187C2×#95×C79C2211yescharacteristic
188C22×Q8×C79C2311yescharacteristic
189C22×Q8×C79C2311yescharacteristic
190C22×D4×C79C2311yescharacteristic
191C22×D4×C79C2311yescharacteristic
192C22×D4×C79C2311yescharacteristic
193C22×D4×C79C2311yescharacteristic
194C22×D4×C79C2311yescharacteristic
195C22×D4×C79C2311yescharacteristic
196C23×C4×C79C2311yescharacteristic
197C23×C4×C79C2311yescharacteristic
198C23×C4×C79C2311yescharacteristic
199C23×C4×C79C2311yescharacteristic
200C23×C4×C79C2311yescharacteristic
201C23×C4×C79C2311yescharacteristic
202C23×C4×C79C2311yescharacteristic
203C23×C4×C79C2311yescharacteristic
204C23×C4×C79C2311yescharacteristic
205C23×C4×C79C2311yescharacteristic
206C23×C4×C79C2311yescharacteristic
207C23×C4×C79C2311yescharacteristic
208#125×C79C2×C418yescomplemented
209#124×C79C2×C418yescomplemented
210#124×C79C2×C418yescomplemented
211#123×C79C2×C418yescomplemented
212#123×C79C2×C418yescomplemented
213#123×C79C2×C418yescomplemented
214#123×C79C2×C418yescomplemented
215C22⋊Q8×C79C2×C418yescomplemented
216C22⋊Q8×C79C2×C418yescomplemented
217C22⋊Q8×C79C2×C418yescomplemented
218C22⋊Q8×C79C2×C418yescomplemented
219#121×C79C2×C418yescomplemented
220#121×C79C2×C418yescomplemented
221#121×C79C2×C418yescomplemented
222#121×C79C2×C418yescomplemented
223C4×Q8×C79—42no—
224C4×Q8×C79—42no—
225C4×D4×C79—42no—
226C4×D4×C79—42no—
227C4×D4×C79—42no—
228C4×D4×C79—42no—
229C4×D4×C79—42no—
230C4×D4×C79—42no—
231#117×C79—42no—
232#117×C79—42no—
233C2×C4⋊C4×C79—42no—
234C2×C4⋊C4×C79C2311yescharacteristic
235C2×C4⋊C4×C79C2311yescharacteristic
236C2×C4⋊C4×C79C2311yescharacteristic
237C2×C4⋊C4×C79C2311yescharacteristic
238C2×C4⋊C4×C79C2311yescharacteristic
239C2×C4⋊C4×C79C2311yescharacteristic
240C2×C4⋊C4×C79C2311yescharacteristic
241C2×C4⋊C4×C79C2311yescharacteristic
242C2×C4⋊C4×C79C2311yescharacteristic
243C2×C4⋊C4×C79C2311yescharacteristic
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×C22⋊C4×C79C2311yescharacteristic
267C2×C22⋊C4×C79C2311yescharacteristic
268C2×C22⋊C4×C79C2311yescharacteristic
269C2×C22⋊C4×C79C2311yescharacteristic
270C2×C22⋊C4×C79C2311yescharacteristic
271C2×C22⋊C4×C79C2311yescharacteristic
272C2×C22⋊C4×C79C2311yescharacteristic
273C2×C22⋊C4×C79C2311yescharacteristic
274C2×C22⋊C4×C79C2311yescharacteristic
275C2×C22⋊C4×C79C2311yescharacteristic
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×C42×C79—42no—
303C2×C42×C79C2311yescharacteristic
304C2×C42×C79C2311yescharacteristic
305C2×C42×C79C2311yescharacteristic
306C2×C42×C79C2311yescharacteristic
307C2×C42×C79C2311yescharacteristic
308C2×C42×C79C2311yescharacteristic
309C2×C42×C79C2311yescharacteristic
310C2×C42×C79C2311yescharacteristic
311C2×C42×C79C2311yescharacteristic
312C2×C42×C79C2311yescharacteristic
313C2×C42×C79C2311yescharacteristic
314C2×C42×C79C2311yescharacteristic
315C2×C42×C79C2311yescharacteristic
316C2×C42×C79C2311yescharacteristic
317C2×C42×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
326#95×C79C2311yescharacteristic
327#95×C79C2311yescharacteristic
328#95×C79C2311yescharacteristic
329#95×C79C2311yescharacteristic
330#95×C79C2311yescharacteristic
331#95×C79C2311yescharacteristic
332#95×C79C2311yescharacteristic
333#95×C79C2311yescharacteristic
334#95×C79C2311yescharacteristic
335#95×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
370C24×C79C2411yescharacteristic
371C24×C79C2411yescharacteristic
372C24×C79C2411yescharacteristic
373C24×C79C2411yescharacteristic
374C2×Q8×C79—41no—
375C2×Q8×C79—41no—
376C2×Q8×C79—41no—
377C2×Q8×C79—41no—
378C2×Q8×C79C22×C414yes—
379C2×Q8×C79C22×C414yes—
380C2×D4×C79—41no—
381C2×D4×C79—41no—
382C2×D4×C79—41no—
383C2×D4×C79—41no—
384C2×D4×C79—41no—
385C2×D4×C79—41no—
386C2×D4×C79—41no—
387C2×D4×C79—41no—
388C2×D4×C79—41no—
389C2×D4×C79—41no—
390C2×D4×C79—41no—
391C2×D4×C79—41no—
392C2×D4×C79C22×C414yes—
393C2×D4×C79C22×C414yes—
394C2×D4×C79C22×C414yes—
395C2×D4×C79C22×C414yes—
396C2×D4×C79C22×C414yes—
397C2×D4×C79C22×C414yes—
398C22×C4×C79—22no—
399C22×C4×C79—22no—
400C22×C4×C79—22no—
401C22×C4×C79—22no—
402C22×C4×C79—22no—
403C22×C4×C79—22no—
404C22×C4×C79—41no—
405C22×C4×C79—41no—
406C22×C4×C79—41no—
407C22×C4×C79—41no—
408C22×C4×C79—41no—
409C22×C4×C79—41no—
410C22×C4×C79—41no—
411C22×C4×C79—41no—
412C22×C4×C79—41no—
413C22×C4×C79—41no—
414C22×C4×C79—41no—
415C22×C4×C79—41no—
416C22×C4×C79—41no—
417C22×C4×C79—41no—
418C22×C4×C79—41no—
419C22×C4×C79—41no—
420C22×C4×C79—41no—
421C22×C4×C79—41no—
422C22×C4×C79—41no—
423C22×C4×C79—41no—
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×C79C22×C414yes—
431C22×C4×C79C22×C414yes—
432C22×C4×C79C22×C414yes—
433C22×C4×C79C22×C414yes—
434C22×C4×C79C2411yescharacteristic
435C22×C4×C79C2411yescharacteristic
436C22×C4×C79C2411yescharacteristic
437C22×C4×C79C2411yescharacteristic
438C22×C4×C79C2411yescharacteristic
439C22×C4×C79C2411yescharacteristic
440C22×C4×C79C2411yescharacteristic
441C22×C4×C79C2411yescharacteristic
442C22×C4×C79C2411yescharacteristic
443C22×C4×C79C2411yescharacteristic
444C22×C4×C79C2411yescharacteristic
445C22×C4×C79C2411yescharacteristic
446C22×C4×C79C2411yescharacteristic
447C22×C4×C79C2411yescharacteristic
448C22×C4×C79C2411yescharacteristic
449C22×C4×C79C2411yescharacteristic
450C22×C4×C79C2411yescharacteristic
451C22×C4×C79C2411yescharacteristic
452C22×C4×C79C2411yescharacteristic
453C22×C4×C79C2411yescharacteristic
454C22×C4×C79C2411yescharacteristic
455C22×C4×C79C2411yescharacteristic
456C22×C4×C79C2411yescharacteristic
457C22×C4×C79C2411yescharacteristic
458C22×C4×C79C2411yescharacteristic
459C22×C4×C79C2411yescharacteristic
460C22×C4×C79C2411yescharacteristic
461C4⋊C4×C79—22no—
462C4⋊C4×C79—22no—
463C4⋊C4×C79—22no—
464C4⋊C4×C79—22no—
465C4⋊C4×C79—41no—
466C4⋊C4×C79—41no—
467C4⋊C4×C79—41no—
468C4⋊C4×C79—41no—
469C4⋊C4×C79—41no—
470C4⋊C4×C79—41no—
471C4⋊C4×C79—41no—
472C4⋊C4×C79—41no—
473C4⋊C4×C79—41no—
474C4⋊C4×C79—41no—
475C4⋊C4×C79—41no—
476C4⋊C4×C79—41no—
477C4⋊C4×C79—41no—
478C4⋊C4×C79—41no—
479C4⋊C4×C79—41no—
480C4⋊C4×C79—41no—
481C4⋊C4×C79—41no—
482C4⋊C4×C79—41no—
483C4⋊C4×C79C22×C414yes—
484C4⋊C4×C79C22×C414yes—
485C4⋊C4×C79C22×C414yes—
486C4⋊C4×C79C22×C414yes—
487C4⋊C4×C79C22×C414yes—
488C4⋊C4×C79C22×C414yes—
489C4⋊C4×C79C22×C414yes—
490C4⋊C4×C79C22×C414yes—
491C4⋊C4×C79C22×C414yes—
492C4⋊C4×C79C22×C414yes—
493C22⋊C4×C79—22no—
494C22⋊C4×C79—22no—
495C22⋊C4×C79—22no—
496C22⋊C4×C79—22no—
497C22⋊C4×C79—22no—
498C22⋊C4×C79—22no—
499C22⋊C4×C79—41no—
500C22⋊C4×C79—41no—
501C22⋊C4×C79—41no—
502C22⋊C4×C79—41no—
503C22⋊C4×C79—41no—
504C22⋊C4×C79—41no—
505C22⋊C4×C79—41no—
506C22⋊C4×C79—41no—
507C22⋊C4×C79—41no—
508C22⋊C4×C79—41no—
509C22⋊C4×C79—41no—
510C22⋊C4×C79—41no—
511C22⋊C4×C79—41no—
512C22⋊C4×C79—41no—
513C22⋊C4×C79—41no—
514C22⋊C4×C79—41no—
515C22⋊C4×C79—41no—
516C22⋊C4×C79—41no—
517C22⋊C4×C79C22×C414yes—
518C22⋊C4×C79C22×C414yes—
519C22⋊C4×C79C22×C414yes—
520C22⋊C4×C79C22×C414yes—
521C22⋊C4×C79C22×C414yes—
522C22⋊C4×C79C22×C414yes—
523C22⋊C4×C79C22×C414yes—
524C22⋊C4×C79C22×C414yes—
525C22⋊C4×C79C22×C414yes—
526C22⋊C4×C79C22×C414yes—
527C22⋊C4×C79C22×C414yes—
528C22⋊C4×C79C22×C414yes—
529C42×C79—22no—
530C42×C79—22no—
531C42×C79—22no—
532C42×C79—22no—
533C42×C79—22no—
534C42×C79—22no—
535C42×C79—22no—
536C42×C79—41no—
537C42×C79—41no—
538C42×C79—41no—
539C42×C79—41no—
540C42×C79—41no—
541C42×C79—41no—
542C42×C79—41no—
543C42×C79—41no—
544C42×C79—41no—
545C42×C79—41no—
546C42×C79—41no—
547C42×C79—41no—
548C42×C79—41no—
549C42×C79—41no—
550C42×C79—41no—
551C42×C79C22×C414yes—
552C23×C79—21no—
553C23×C79—21no—
554C23×C79—21no—
555C23×C79—21no—
556C23×C79—21no—
557C23×C79—21no—
558C23×C79—21no—
559C23×C79—21no—
560C23×C79—21no—
561C23×C79—21no—
562C23×C79—21no—
563C23×C79—21no—
564C23×C79—21no—
565C23×C79—21no—
566C23×C79—21no—
567C23×C79—21no—
568C23×C79—21no—
569C23×C79—21no—
570C23×C79—21no—
571C23×C79—21no—
572C23×C79—21no—
573C23×C79—21no—
574C23×C79—21no—
575C23×C79—21no—
576C23×C79C23×C412yes—
577C23×C79C23×C412yes—
578C23×C79C23×C412yes—
579C23×C79C23×C412yes—
580C23×C79C2511yescharacteristic
581Q8×C79—44no—
582Q8×C79—44no—
583D4×C79—44no—
584D4×C79—44no—
585D4×C79—44no—
586D4×C79—44no—
587D4×C79—44no—
588D4×C79—44no—
589C2×C4×C79—21no—
590C2×C4×C79—21no—
591C2×C4×C79—21no—
592C2×C4×C79—21no—
593C2×C4×C79—21no—
594C2×C4×C79—21no—
595C2×C4×C79—21no—
596C2×C4×C79—21no—
597C2×C4×C79—21no—
598C2×C4×C79—21no—
599C2×C4×C79—21no—
600C2×C4×C79—21no—
601C2×C4×C79—21no—
602C2×C4×C79—21no—
603C2×C4×C79—21no—
604C2×C4×C79—21no—
605C2×C4×C79—21no—
606C2×C4×C79—21no—
607C2×C4×C79—21no—
608C2×C4×C79—21no—
609C2×C4×C79—21no—
610C2×C4×C79—21no—
611C2×C4×C79—21no—
612C2×C4×C79—21no—
613C2×C4×C79—21no—
614C2×C4×C79—21no—
615C2×C4×C79—21no—
616C2×C4×C79—21no—
617C2×C4×C79—21no—
618C2×C4×C79—21no—
619C2×C4×C79—21no—
620C2×C4×C79—21no—
621C2×C4×C79—21no—
622C2×C4×C79—21no—
623C2×C4×C79—21no—
624C2×C4×C79—21no—
625C2×C4×C79—21no—
626C2×C4×C79—21no—
627C2×C4×C79—21no—
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—44no—
657C2×C4×C79—44no—
658C2×C4×C79—44no—
659C2×C4×C79—44no—
660C2×C4×C79—44no—
661C2×C4×C79—44no—
662C2×C4×C79—82no—
663C2×C4×C79—82no—
664C2×C4×C79—82no—
665C2×C4×C79—82no—
666C2×C4×C79—82no—
667C2×C4×C79—82no—
668C2×C4×C79C23×C412yes—
669C2×C4×C79C23×C412yes—
670C2×C4×C79C23×C412yes—
671C2×C4×C79C23×C412yes—
672C2×C4×C79C23×C412yes—
673C2×C4×C79C23×C412yes—
674C2×C4×C79C23×C412yes—
675C2×C4×C79C23×C412yes—
676C2×C4×C79C23×C412yes—
677C2×C4×C79C23×C412yes—
678C2×C4×C79C23×C412yes—
679C2×C4×C79H(5,𝔽2)12yes—
680C2×C4×C79H(5,𝔽2)12yes—
681C2×C4×C792−1+412yes—
682C22×C79—22no—
683C22×C79—22no—
684C22×C79—22no—
685C22×C79—22no—
686C22×C79—22no—
687C22×C79—22no—
688C22×C79—22no—
689C22×C79—22no—
690C22×C79—22no—
691C22×C79—22no—
692C22×C79—22no—
693C22×C79—22no—
694C22×C79—41no—
695C22×C79—41no—
696C22×C79—41no—
697C22×C79—41no—
698C22×C79—41no—
699C22×C79—41no—
700C22×C79—41no—
701C22×C79—41no—
702C22×C79—41no—
703C22×C79—41no—
704C22×C79—41no—
705C22×C79—41no—
706C22×C79—41no—
707C22×C79—41no—
708C22×C79—41no—
709C22×C79—41no—
710C22×C79C24×C411yescharacteristic
711C22×C79C2×H(5,𝔽2)11yescharacteristic
712C22×C79C2×H(5,𝔽2)11yescharacteristic
713C22×C79C2×2−1+411yescharacteristic
714C22×C79#58511yescharacteristic
715C22×C79#58511yescharacteristic
716C22×C79#58511yescharacteristic
717C4×C79—22no—
718C4×C79—22no—
719C4×C79—22no—
720C4×C79—22no—
721C4×C79—22no—
722C4×C79—22no—
723C4×C79—22no—
724C4×C79—22no—
725C4×C79—22no—
726C4×C79—22no—
727C4×C79—22no—
728C4×C79—22no—
729C4×C79—22no—
730C4×C79—22no—
731C4×C79—41no—
732C4×C79—41no—
733C4×C79—41no—
734C4×C79—41no—
735C4×C79—41no—
736C4×C79—41no—
737C4×C79—41no—
738C4×C79—41no—
739C4×C79—41no—
740C4×C79—41no—
741C4×C79—41no—
742C4×C79—41no—
743C4×C79—41no—
744#34519C7911yesmaximal, characteristic, direct product factor, Sylow
745C2×C79—42no—
746C2×C79—42no—
747C2×C79—42no—
748C2×C79—42no—
749C2×C79C4×H(5,𝔽2)11yescharacteristic
750C2×C79C4×H(5,𝔽2)11yescharacteristic
751C2×C79C4×2−1+411yescharacteristic
752C2×C79#353511yescharacteristic
753C2×C79#354211yescharacteristic
754C2×C79#354711yescharacteristic
755C2×C79#356611yescharacteristic
756C2×#562C2×C7911yescharacteristic
757#2378C2×C7911yescharacteristic, complemented
758#2377C2×C7911yescharacteristic, complemented
759#2376C2×C7911yescharacteristic, complemented
760#2374C2×C7911yescharacteristic, complemented
761#2372C2×C7911yescharacteristic, complemented
762#2372C2×C7911yescharacteristic, complemented
763#2371C2×C7911yescharacteristic, complemented
764#2368C2×C7911yescharacteristic, complemented
765#2364C2×C7911yescharacteristic, complemented
766#2363C2×C7911yescharacteristic, complemented
767#2362C2×C7911yescharacteristic, complemented
768#2361C2×C7911yescharacteristic, complemented
769#2360C2×C7911yescharacteristic, complemented
770#2359C2×C7911yescharacteristic, complemented
771#2359C2×C7911yescharacteristic, complemented
772#2335C2×C7911yescharacteristic, complemented
773#2335C2×C7911yescharacteristic, complemented
774#2333C2×C7911yescharacteristic, complemented
775#2332C2×C7911yescharacteristic, complemented
776#2330C2×C7911yescharacteristic, complemented
777#2329C2×C7911yescharacteristic, complemented
778#2326C2×C7911yescharacteristic, complemented
779#2326C2×C7911yescharacteristic, complemented
780#2325C2×C7911yescharacteristic, complemented
781#2324C2×C7911yescharacteristic, complemented
782#2323C2×C7911yescharacteristic, complemented
783#2322C2×C7911yescharacteristic, complemented
784C4×C22⋊Q8C2×C7911yescharacteristic, complemented
785C4×#123C2×C7911yescharacteristic, complemented
786C4×#121C2×C7911yescharacteristic, complemented
787C79#3451911yescharacteristic, direct product factor, Sylow
788#562C4×C79116yescomplemented
789C2×#125C22×C7911yescharacteristic
790C2×#124C22×C7911yescharacteristic
791C2×#124C22×C7911yescharacteristic
792C2×#123C22×C7911yescharacteristic
793C2×#123C22×C7911yescharacteristic
794C2×#123C22×C7911yescharacteristic
795C2×#123C22×C7911yescharacteristic
796C2×C22⋊Q8C22×C7911yescharacteristic
797C2×C22⋊Q8C22×C7911yescharacteristic
798C2×C22⋊Q8C22×C7911yescharacteristic
799C2×C22⋊Q8C22×C7911yescharacteristic
800C2×#121C22×C7911yescharacteristic
801C2×#121C22×C7911yescharacteristic
802C2×#121C22×C7911yescharacteristic
803C2×#121C22×C7911yescharacteristic
804C2×C4×Q8C22×C7911yescharacteristic
805C2×C4×Q8C22×C7911yescharacteristic
806C2×C4×D4C22×C7911yescharacteristic
807C2×C4×D4C22×C7911yescharacteristic
808C2×C4×D4C22×C7911yescharacteristic
809C2×C4×D4C22×C7911yescharacteristic
810C2×C4×D4C22×C7911yescharacteristic
811C2×C4×D4C22×C7911yescharacteristic
812C2×#117C22×C7911yescharacteristic
813C2×#117C22×C7911yescharacteristic
814C22×C4⋊C4C22×C7911yescharacteristic
815C22×C42C22×C7911yescharacteristic
816#391C22×C7911yescharacteristic
817#391C22×C7911yescharacteristic
818#391C22×C7911yescharacteristic
819#391C22×C7911yescharacteristic
820#391C22×C7911yescharacteristic
821#391C22×C7911yescharacteristic
822#390C22×C7911yescharacteristic
823#390C22×C7911yescharacteristic
824#390C22×C7911yescharacteristic
825#390C22×C7911yescharacteristic
826#390C22×C7911yescharacteristic
827#390C22×C7911yescharacteristic
828#389C22×C7911yescharacteristic
829#389C22×C7911yescharacteristic
830#389C22×C7911yescharacteristic
831#389C22×C7911yescharacteristic
832#389C22×C7911yescharacteristic
833#389C22×C7911yescharacteristic
834#389C22×C7911yescharacteristic
835#389C22×C7911yescharacteristic
836#389C22×C7911yescharacteristic
837#389C22×C7911yescharacteristic
838#388C22×C7911yescharacteristic
839#388C22×C7911yescharacteristic
840#388C22×C7911yescharacteristic
841#388C22×C7911yescharacteristic
842#388C22×C7911yescharacteristic
843#388C22×C7911yescharacteristic
844#388C22×C7911yescharacteristic
845#388C22×C7911yescharacteristic
846#388C22×C7911yescharacteristic
847#388C22×C7911yescharacteristic
848#388C22×C7911yescharacteristic
849#388C22×C7911yescharacteristic
850#388C22×C7911yescharacteristic
851#388C22×C7911yescharacteristic
852#388C22×C7911yescharacteristic
853#388C22×C7911yescharacteristic
854#388C22×C7911yescharacteristic
855#388C22×C7911yescharacteristic
856#388C22×C7911yescharacteristic
857#388C22×C7911yescharacteristic
858#388C22×C7911yescharacteristic
859#388C22×C7911yescharacteristic
860#388C22×C7911yescharacteristic
861#388C22×C7911yescharacteristic
862#387C22×C7911yescharacteristic
863#387C22×C7911yescharacteristic
864#387C22×C7911yescharacteristic
865#387C22×C7911yescharacteristic
866#387C22×C7911yescharacteristic
867#387C22×C7911yescharacteristic
868#387C22×C7911yescharacteristic
869#387C22×C7911yescharacteristic
870#387C22×C7911yescharacteristic
871#387C22×C7911yescharacteristic
872#387C22×C7911yescharacteristic
873#387C22×C7911yescharacteristic
874#387C22×C7911yescharacteristic
875#387C22×C7911yescharacteristic
876#387C22×C7911yescharacteristic
877#387C22×C7911yescharacteristic
878#387C22×C7911yescharacteristic
879#387C22×C7911yescharacteristic
880#387C22×C7911yescharacteristic
881#387C22×C7911yescharacteristic
882#386C22×C7911yescharacteristic
883#386C22×C7911yescharacteristic
884#386C22×C7911yescharacteristic
885#386C22×C7911yescharacteristic
886#386C22×C7911yescharacteristic
887#386C22×C7911yescharacteristic
888#386C22×C7911yescharacteristic
889#386C22×C7911yescharacteristic
890#386C22×C7911yescharacteristic
891#386C22×C7911yescharacteristic
892#386C22×C7911yescharacteristic
893#386C22×C7911yescharacteristic
894#385C22×C7911yescharacteristic
895#385C22×C7911yescharacteristic
896#385C22×C7911yescharacteristic
897#385C22×C7911yescharacteristic
898#385C22×C7911yescharacteristic
899#385C22×C7911yescharacteristic
900#385C22×C7911yescharacteristic
901#385C22×C7911yescharacteristic
902#385C22×C7911yescharacteristic
903#385C22×C7911yescharacteristic
904#385C22×C7911yescharacteristic
905#385C22×C7911yescharacteristic
906#384C22×C7911yescharacteristic
907#381C22×C7911yescharacteristic
908#381C22×C7911yescharacteristic
909#380C22×C7911yescharacteristic
910#380C22×C7911yescharacteristic
911#380C22×C7911yescharacteristic
912#380C22×C7911yescharacteristic
913C4×C4⋊C4C22×C7911yescharacteristic
914C4×C4⋊C4C22×C7911yescharacteristic
915C4×C4⋊C4C22×C7911yescharacteristic
916C4×C4⋊C4C22×C7911yescharacteristic
917C4×C4⋊C4C22×C7911yescharacteristic
918C4×C4⋊C4C22×C7911yescharacteristic
919C4×C4⋊C4C22×C7911yescharacteristic
920C4×C4⋊C4C22×C7911yescharacteristic
921C4×C4⋊C4C22×C7911yescharacteristic
922C4×C4⋊C4C22×C7911yescharacteristic
923C4×C22⋊C4C22×C7911yescharacteristic
924C4×C22⋊C4C22×C7911yescharacteristic
925C4×C22⋊C4C22×C7911yescharacteristic
926C4×C22⋊C4C22×C7911yescharacteristic
927C4×C22⋊C4C22×C7911yescharacteristic
928C4×C22⋊C4C22×C7911yescharacteristic
929C4×C22⋊C4C22×C7911yescharacteristic
930C4×C22⋊C4C22×C7911yescharacteristic
931C4×C22⋊C4C22×C7911yescharacteristic
932C4×C22⋊C4C22×C7911yescharacteristic
933C4×C22⋊C4C22×C7911yescharacteristic
934C4×C22⋊C4C22×C7911yescharacteristic
935C4×C22⋊C4C22×C7911yescharacteristic
936C4×C22⋊C4C22×C7911yescharacteristic
937C4×C22⋊C4C22×C7911yescharacteristic
938C4×C22⋊C4C22×C7911yescharacteristic
939#376C22×C7911yescharacteristic
940#376C22×C7911yescharacteristic
941#376C22×C7911yescharacteristic
942C2×#95C22×C7911yescharacteristic
943C2×#95C22×C7911yescharacteristic
944C22×Q8C23×C7911yescharacteristic
945C22×Q8C23×C7911yescharacteristic
946C22×D4C23×C7911yescharacteristic
947C22×D4C23×C7911yescharacteristic
948C22×D4C23×C7911yescharacteristic
949C22×D4C23×C7911yescharacteristic
950C22×D4C23×C7911yescharacteristic
951C22×D4C23×C7911yescharacteristic
952C23×C4C23×C7911yescharacteristic
953C23×C4C23×C7911yescharacteristic
954C23×C4C23×C7911yescharacteristic
955C23×C4C23×C7911yescharacteristic
956C23×C4C23×C7911yescharacteristic
957C23×C4C23×C7911yescharacteristic
958C23×C4C23×C7911yescharacteristic
959C23×C4C23×C7911yescharacteristic
960C23×C4C23×C7911yescharacteristic
961C23×C4C23×C7911yescharacteristic
962C23×C4C23×C7911yescharacteristic
963C23×C4C23×C7911yescharacteristic
964#125C2×C4×C7918yescomplemented
965#124C2×C4×C7918yescomplemented
966#124C2×C4×C7918yescomplemented
967#123C2×C4×C7918yescomplemented
968#123C2×C4×C7918yescomplemented
969#123C2×C4×C7918yescomplemented
970#123C2×C4×C7918yescomplemented
971C22⋊Q8C2×C4×C7918yescomplemented
972C22⋊Q8C2×C4×C7918yescomplemented
973C22⋊Q8C2×C4×C7918yescomplemented
974C22⋊Q8C2×C4×C7918yescomplemented
975#121C2×C4×C7918yescomplemented
976#121C2×C4×C7918yescomplemented
977#121C2×C4×C7918yescomplemented
978#121C2×C4×C7918yescomplemented
979C4×Q8—42no—
980C4×Q8—42no—
981C4×D4—42no—
982C4×D4—42no—
983C4×D4—42no—
984C4×D4—42no—
985C4×D4—42no—
986C4×D4—42no—
987#117—42no—
988#117—42no—
989C2×C4⋊C4—42no—
990C2×C4⋊C4C23×C7911yescharacteristic
991C2×C4⋊C4C23×C7911yescharacteristic
992C2×C4⋊C4C23×C7911yescharacteristic
993C2×C4⋊C4C23×C7911yescharacteristic
994C2×C4⋊C4C23×C7911yescharacteristic
995C2×C4⋊C4C23×C7911yescharacteristic
996C2×C4⋊C4C23×C7911yescharacteristic
997C2×C4⋊C4C23×C7911yescharacteristic
998C2×C4⋊C4C23×C7911yescharacteristic
999C2×C4⋊C4C23×C7911yescharacteristic
1000C2×C4⋊C4C23×C7911yescharacteristic
1001C2×C4⋊C4C23×C7911yescharacteristic
1002C2×C4⋊C4C23×C7911yescharacteristic
1003C2×C4⋊C4C23×C7911yescharacteristic
1004C2×C4⋊C4C23×C7911yescharacteristic
1005C2×C4⋊C4C23×C7911yescharacteristic
1006C2×C4⋊C4C23×C7911yescharacteristic
1007C2×C4⋊C4C23×C7911yescharacteristic
1008C2×C4⋊C4C23×C7911yescharacteristic
1009C2×C4⋊C4C23×C7911yescharacteristic
1010C2×C4⋊C4C23×C7911yescharacteristic
1011C2×C4⋊C4C23×C7911yescharacteristic
1012C2×C4⋊C4C23×C7911yescharacteristic
1013C2×C4⋊C4C23×C7911yescharacteristic
1014C2×C4⋊C4C23×C7911yescharacteristic
1015C2×C4⋊C4C23×C7911yescharacteristic
1016C2×C4⋊C4C23×C7911yescharacteristic
1017C2×C4⋊C4C23×C7911yescharacteristic
1018C2×C4⋊C4C23×C7911yescharacteristic
1019C2×C4⋊C4C23×C7911yescharacteristic
1020C2×C4⋊C4C23×C7911yescharacteristic
1021C2×C4⋊C4C23×C7911yescharacteristic
1022C2×C22⋊C4C23×C7911yescharacteristic
1023C2×C22⋊C4C23×C7911yescharacteristic
1024C2×C22⋊C4C23×C7911yescharacteristic
1025C2×C22⋊C4C23×C7911yescharacteristic
1026C2×C22⋊C4C23×C7911yescharacteristic
1027C2×C22⋊C4C23×C7911yescharacteristic
1028C2×C22⋊C4C23×C7911yescharacteristic
1029C2×C22⋊C4C23×C7911yescharacteristic
1030C2×C22⋊C4C23×C7911yescharacteristic
1031C2×C22⋊C4C23×C7911yescharacteristic
1032C2×C22⋊C4C23×C7911yescharacteristic
1033C2×C22⋊C4C23×C7911yescharacteristic
1034C2×C22⋊C4C23×C7911yescharacteristic
1035C2×C22⋊C4C23×C7911yescharacteristic
1036C2×C22⋊C4C23×C7911yescharacteristic
1037C2×C22⋊C4C23×C7911yescharacteristic
1038C2×C22⋊C4C23×C7911yescharacteristic
1039C2×C22⋊C4C23×C7911yescharacteristic
1040C2×C22⋊C4C23×C7911yescharacteristic
1041C2×C22⋊C4C23×C7911yescharacteristic
1042C2×C22⋊C4C23×C7911yescharacteristic
1043C2×C22⋊C4C23×C7911yescharacteristic
1044C2×C22⋊C4C23×C7911yescharacteristic
1045C2×C22⋊C4C23×C7911yescharacteristic
1046C2×C22⋊C4C23×C7911yescharacteristic
1047C2×C22⋊C4C23×C7911yescharacteristic
1048C2×C22⋊C4C23×C7911yescharacteristic
1049C2×C22⋊C4C23×C7911yescharacteristic
1050C2×C22⋊C4C23×C7911yescharacteristic
1051C2×C22⋊C4C23×C7911yescharacteristic
1052C2×C22⋊C4C23×C7911yescharacteristic
1053C2×C22⋊C4C23×C7911yescharacteristic
1054C2×C22⋊C4C23×C7911yescharacteristic
1055C2×C22⋊C4C23×C7911yescharacteristic
1056C2×C22⋊C4C23×C7911yescharacteristic
1057C2×C22⋊C4C23×C7911yescharacteristic
1058C2×C42—42no—
1059C2×C42C23×C7911yescharacteristic
1060C2×C42C23×C7911yescharacteristic
1061C2×C42C23×C7911yescharacteristic
1062C2×C42C23×C7911yescharacteristic
1063C2×C42C23×C7911yescharacteristic
1064C2×C42C23×C7911yescharacteristic
1065C2×C42C23×C7911yescharacteristic
1066C2×C42C23×C7911yescharacteristic
1067C2×C42C23×C7911yescharacteristic
1068C2×C42C23×C7911yescharacteristic
1069C2×C42C23×C7911yescharacteristic
1070C2×C42C23×C7911yescharacteristic
1071C2×C42C23×C7911yescharacteristic
1072C2×C42C23×C7911yescharacteristic
1073C2×C42C23×C7911yescharacteristic
1074C2×C42C23×C7911yescharacteristic
1075C2×C42C23×C7911yescharacteristic
1076C2×C42C23×C7911yescharacteristic
1077C2×C42C23×C7911yescharacteristic
1078C2×C42C23×C7911yescharacteristic
1079C2×C42C23×C7911yescharacteristic
1080C2×C42C23×C7911yescharacteristic
1081C2×C42C23×C7911yescharacteristic
1082#95C23×C7911yescharacteristic
1083#95C23×C7911yescharacteristic
1084#95C23×C7911yescharacteristic
1085#95C23×C7911yescharacteristic
1086#95C23×C7911yescharacteristic
1087#95C23×C7911yescharacteristic
1088#95C23×C7911yescharacteristic
1089#95C23×C7911yescharacteristic
1090#95C23×C7911yescharacteristic
1091#95C23×C7911yescharacteristic
1092#95C23×C7911yescharacteristic
1093#95C23×C7911yescharacteristic
1094#95C23×C7911yescharacteristic
1095#95C23×C7911yescharacteristic
1096#95C23×C7911yescharacteristic
1097#95C23×C7911yescharacteristic
1098#95C23×C7911yescharacteristic
1099#95C23×C7911yescharacteristic
1100#95C23×C7911yescharacteristic
1101#95C23×C7911yescharacteristic
1102#95C23×C7911yescharacteristic
1103#95C23×C7911yescharacteristic
1104#95C23×C7911yescharacteristic
1105#95C23×C7911yescharacteristic
1106#95C23×C7911yescharacteristic
1107#95C23×C7911yescharacteristic
1108#95C23×C7911yescharacteristic
1109#95C23×C7911yescharacteristic
1110#95C23×C7911yescharacteristic
1111#95C23×C7911yescharacteristic
1112#95C23×C7911yescharacteristic
1113#95C23×C7911yescharacteristic
1114#95C23×C7911yescharacteristic
1115#95C23×C7911yescharacteristic
1116#95C23×C7911yescharacteristic
1117#95C23×C7911yescharacteristic
1118#95C23×C7911yescharacteristic
1119#95C23×C7911yescharacteristic
1120#95C23×C7911yescharacteristic
1121#95C23×C7911yescharacteristic
1122#95C23×C7911yescharacteristic
1123#95C23×C7911yescharacteristic
1124#95C23×C7911yescharacteristic
1125#95C23×C7911yescharacteristic
1126C24C24×C7911yescharacteristic
1127C24C24×C7911yescharacteristic
1128C24C24×C7911yescharacteristic
1129C24C24×C7911yescharacteristic
1130C2×Q8—41no—
1131C2×Q8—41no—
1132C2×Q8—41no—
1133C2×Q8—41no—
1134C2×Q8C22×C4×C7914yes—
1135C2×Q8C22×C4×C7914yes—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4C22×C4×C7914yes—
1149C2×D4C22×C4×C7914yes—
1150C2×D4C22×C4×C7914yes—
1151C2×D4C22×C4×C7914yes—
1152C2×D4C22×C4×C7914yes—
1153C2×D4C22×C4×C7914yes—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4C22×C4×C7914yes—
1187C22×C4C22×C4×C7914yes—
1188C22×C4C22×C4×C7914yes—
1189C22×C4C22×C4×C7914yes—
1190C22×C4C24×C7911yescharacteristic
1191C22×C4C24×C7911yescharacteristic
1192C22×C4C24×C7911yescharacteristic
1193C22×C4C24×C7911yescharacteristic
1194C22×C4C24×C7911yescharacteristic
1195C22×C4C24×C7911yescharacteristic
1196C22×C4C24×C7911yescharacteristic
1197C22×C4C24×C7911yescharacteristic
1198C22×C4C24×C7911yescharacteristic
1199C22×C4C24×C7911yescharacteristic
1200C22×C4C24×C7911yescharacteristic
1201C22×C4C24×C7911yescharacteristic
1202C22×C4C24×C7911yescharacteristic
1203C22×C4C24×C7911yescharacteristic
1204C22×C4C24×C7911yescharacteristic
1205C22×C4C24×C7911yescharacteristic
1206C22×C4C24×C7911yescharacteristic
1207C22×C4C24×C7911yescharacteristic
1208C22×C4C24×C7911yescharacteristic
1209C22×C4C24×C7911yescharacteristic
1210C22×C4C24×C7911yescharacteristic
1211C22×C4C24×C7911yescharacteristic
1212C22×C4C24×C7911yescharacteristic
1213C22×C4C24×C7911yescharacteristic
1214C22×C4C24×C7911yescharacteristic
1215C22×C4C24×C7911yescharacteristic
1216C22×C4C24×C7911yescharacteristic
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4C22×C4×C7914yes—
1240C4⋊C4C22×C4×C7914yes—
1241C4⋊C4C22×C4×C7914yes—
1242C4⋊C4C22×C4×C7914yes—
1243C4⋊C4C22×C4×C7914yes—
1244C4⋊C4C22×C4×C7914yes—
1245C4⋊C4C22×C4×C7914yes—
1246C4⋊C4C22×C4×C7914yes—
1247C4⋊C4C22×C4×C7914yes—
1248C4⋊C4C22×C4×C7914yes—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4C22×C4×C7914yes—
1274C22⋊C4C22×C4×C7914yes—
1275C22⋊C4C22×C4×C7914yes—
1276C22⋊C4C22×C4×C7914yes—
1277C22⋊C4C22×C4×C7914yes—
1278C22⋊C4C22×C4×C7914yes—
1279C22⋊C4C22×C4×C7914yes—
1280C22⋊C4C22×C4×C7914yes—
1281C22⋊C4C22×C4×C7914yes—
1282C22⋊C4C22×C4×C7914yes—
1283C22⋊C4C22×C4×C7914yes—
1284C22⋊C4C22×C4×C7914yes—
1285C42—22no—
1286C42—22no—
1287C42—22no—
1288C42—22no—
1289C42—22no—
1290C42—22no—
1291C42—22no—
1292C42—41no—
1293C42—41no—
1294C42—41no—
1295C42—41no—
1296C42—41no—
1297C42—41no—
1298C42—41no—
1299C42—41no—
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42C22×C4×C7914yes—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23C23×C4×C7912yes—
1333C23C23×C4×C7912yes—
1334C23C23×C4×C7912yes—
1335C23C23×C4×C7912yes—
1336C23C25×C7911yescharacteristic
1337Q8—44no—
1338Q8—44no—
1339D4—44no—
1340D4—44no—
1341D4—44no—
1342D4—44no—
1343D4—44no—
1344D4—44no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—44no—
1416C2×C4—44no—
1417C2×C4—44no—
1418C2×C4—82no—
1419C2×C4—82no—
1420C2×C4—82no—
1421C2×C4—82no—
1422C2×C4—82no—
1423C2×C4—82no—
1424C2×C4C23×C4×C7912yes—
1425C2×C4C23×C4×C7912yes—
1426C2×C4C23×C4×C7912yes—
1427C2×C4C23×C4×C7912yes—
1428C2×C4C23×C4×C7912yes—
1429C2×C4C23×C4×C7912yes—
1430C2×C4C23×C4×C7912yes—
1431C2×C4C23×C4×C7912yes—
1432C2×C4C23×C4×C7912yes—
1433C2×C4C23×C4×C7912yes—
1434C2×C4C23×C4×C7912yes—
1435C2×C4H(5,𝔽2)×C7912yes—
1436C2×C4H(5,𝔽2)×C7912yes—
1437C2×C42−1+4×C7912yes—
1438C22—22no—
1439C22—22no—
1440C22—22no—
1441C22—22no—
1442C22—22no—
1443C22—22no—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22C24×C4×C7911yescharacteristic
1467C22C2×H(5,𝔽2)×C7911yescharacteristic
1468C22C2×H(5,𝔽2)×C7911yescharacteristic
1469C22C2×2−1+4×C7911yescharacteristic
1470C22#585×C7911yescharacteristic
1471C22#585×C7911yescharacteristic
1472C22#585×C7911yescharacteristic
1473C4—22no—
1474C4—22no—
1475C4—22no—
1476C4—22no—
1477C4—22no—
1478C4—22no—
1479C4—22no—
1480C4—22no—
1481C4—22no—
1482C4—22no—
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C2—42no—
1501C2—42no—
1502C2—42no—
1503C2—42no—
1504C2C4×H(5,𝔽2)×C7911yescharacteristic
1505C2C4×H(5,𝔽2)×C7911yescharacteristic
1506C2C4×2−1+4×C7911yescharacteristic
1507C2C79×#353511yescharacteristic
1508C2C79×#354211yescharacteristic
1509C2C79×#354711yescharacteristic
1510C2C79×#356611yescharacteristic
subgroupG/H
center, socleC23×C79C25
commutatorC22C24×C4×C79
Frattini, cosocleC23C25×C79
prime radicalC2×#562×C79C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C79 ◁ G

Complements

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

NH ≅ G/Ntype
2. C79×#2378C2semidirect
3. C79×#2377C2semidirect
4. C79×#2376C2semidirect
5. C79×#2374C2semidirect
6. C79×#2372C2semidirect
7. C79×#2372C2semidirect
8. C79×#2371C2semidirect
9. C79×#2368C2semidirect
10. C79×#2364C2semidirect
11. C79×#2363C2semidirect
12. C79×#2362C2semidirect
13. C79×#2361C2semidirect
14. C79×#2360C2semidirect
15. C79×#2359C2semidirect
16. C79×#2359C2semidirect
17. C79×#2335C2semidirect
18. C79×#2335C2semidirect
19. C79×#2333C2semidirect
20. C79×#2332C2semidirect
21. C79×#2330C2semidirect
22. C79×#2329C2semidirect
23. C79×#2326C2semidirect
24. C79×#2326C2semidirect
25. C79×#2325C2semidirect
26. C79×#2324C2semidirect
27. C79×#2323C2semidirect
28. C79×#2322C2semidirect
29. C4×C22⋊Q8×C79C2semidirect
30. C4×#123×C79C2semidirect
31. C4×#121×C79C2semidirect
32. #562×C79C4semidirect
208. #125×C79C2×C4semidirect
209. #124×C79C2×C4semidirect
210. #124×C79C2×C4semidirect
211. #123×C79C2×C4semidirect
212. #123×C79C2×C4semidirect
213. #123×C79C2×C4semidirect
214. #123×C79C2×C4semidirect
215. C22⋊Q8×C79C2×C4semidirect
216. C22⋊Q8×C79C2×C4semidirect
217. C22⋊Q8×C79C2×C4semidirect
218. C22⋊Q8×C79C2×C4semidirect
219. #121×C79C2×C4semidirect
220. #121×C79C2×C4semidirect
221. #121×C79C2×C4semidirect
222. #121×C79C2×C4semidirect
744. #34519C79direct (N × H)
757. #2378C2×C79semidirect
758. #2377C2×C79semidirect
759. #2376C2×C79semidirect
760. #2374C2×C79semidirect
761. #2372C2×C79semidirect
762. #2372C2×C79semidirect
763. #2371C2×C79semidirect
764. #2368C2×C79semidirect
765. #2364C2×C79semidirect
766. #2363C2×C79semidirect
767. #2362C2×C79semidirect
768. #2361C2×C79semidirect
769. #2360C2×C79semidirect
770. #2359C2×C79semidirect
771. #2359C2×C79semidirect
772. #2335C2×C79semidirect
773. #2335C2×C79semidirect
774. #2333C2×C79semidirect
775. #2332C2×C79semidirect
776. #2330C2×C79semidirect
777. #2329C2×C79semidirect
778. #2326C2×C79semidirect
779. #2326C2×C79semidirect
780. #2325C2×C79semidirect
781. #2324C2×C79semidirect
782. #2323C2×C79semidirect
783. #2322C2×C79semidirect
784. C4×C22⋊Q8C2×C79semidirect
785. C4×#123C2×C79semidirect
786. C4×#121C2×C79semidirect
787. C79#34519direct (N × H)
788. #562C4×C79semidirect
964. #125C2×C4×C79semidirect
965. #124C2×C4×C79semidirect
966. #124C2×C4×C79semidirect
967. #123C2×C4×C79semidirect
968. #123C2×C4×C79semidirect
969. #123C2×C4×C79semidirect
970. #123C2×C4×C79semidirect
971. C22⋊Q8C2×C4×C79semidirect
972. C22⋊Q8C2×C4×C79semidirect
973. C22⋊Q8C2×C4×C79semidirect
974. C22⋊Q8C2×C4×C79semidirect
975. #121C2×C4×C79semidirect
976. #121C2×C4×C79semidirect
977. #121C2×C4×C79semidirect
978. #121C2×C4×C79semidirect

Maximal subgroups

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

subgroupindex
C2×#562×C792
C79×#23782
C79×#23772
C79×#23762
C79×#23742
C79×#23722
C79×#23712
C79×#23682
C79×#23642
C79×#23632
C79×#23622
C79×#23612
C79×#23602
C79×#23592
C79×#23352
C79×#23332
C79×#23322
C79×#23302
C79×#23292
C79×#23262
C79×#23252
C79×#23242
C79×#23232
C79×#23222
C4×C22⋊Q8×C792
C4×#123×C792
C4×#121×C792
#3451979