Finite Group Databasebeta

← #548×Dic79 #34448097

Subgroups — #548×Dic79 #34448097

Order 20224.

3232 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×Dic79C211yesmaximal, characteristic, complemented
2C22×Q8×Dic79C211yesmaximal, characteristic, complemented
3#23766475C213yesmaximal, complemented
4#23766431C213yesmaximal, complemented
5#23766420C213yesmaximal, complemented
6#23766329C213yesmaximal, complemented
7#23766321C211yesmaximal, characteristic, complemented
8#23766241C211yesmaximal, characteristic, complemented
9Q8×C22⋊Dic79C211yesmaximal, characteristic, complemented
10#124×Dic79C213yesmaximal, complemented
11C22⋊Q8×Dic79C213yesmaximal, complemented
12#121×Dic79C213yesmaximal, complemented
13C4×Q8×Dic79C211yesmaximal, characteristic, complemented
14C4×D4×Dic79C213yesmaximal, complemented
15C2×#548×C79C211yesmaximal, characteristic
16#41×Dic79—28no—
17C2×Q8×Dic79—28no—
18C2×Q8×Dic79C2211yescharacteristic
19C2×Q8×Dic79C2211yescharacteristic
20C2×Q8×Dic79C2213yes—
21C2×Q8×Dic79C2213yes—
22C2×Q8×Dic79C2211yescharacteristic
23C2×Q8×Dic79C2211yescharacteristic
24C2×D4×Dic79C2213yes—
25C2×D4×Dic79C2213yes—
26C2×D4×Dic79C2213yes—
27C2×D4×Dic79C2213yes—
28C2×#14579120C2213yes—
29C22×C4⋊Dic79C2213yes—
30C22×C4×Dic79C2213yes—
31C22×C4×Dic79C2213yes—
32#19098470C2213yes—
33#19098470C2213yes—
34#19098466C2213yes—
35#19098466C2213yes—
36#19098462C2213yes—
37#19098462C2213yes—
38#19098456C2216yes—
39#19098456C2216yes—
40#19098456C2216yes—
41#19098449C2216yes—
42#19098443C2216yes—
43#19098438C2216yes—
44#19098429C2213yes—
45#19098423C2213yes—
46#19098423C2213yes—
47C4⋊C4×Dic79C2213yes—
48C4⋊C4×Dic79C2213yes—
49C4⋊C4×Dic79C2213yes—
50C4⋊C4×Dic79C2213yes—
51C4×C4⋊Dic79C2213yes—
52C4×C4⋊Dic79C2213yes—
53C22⋊C4×Dic79C2213yes—
54C22⋊C4×Dic79C2216yes—
55C22⋊C4×Dic79C2213yes—
56C22⋊C4×Dic79C2213yes—
57C22⋊C4×Dic79C2211yescharacteristic
58C4×C22⋊Dic79C2213yes—
59C4×C22⋊Dic79C2213yes—
60C42×Dic79C2213yes—
61C22×#41×C79C2211yescharacteristic
62C23×Q8×C79C2211yescharacteristic
63#548×C79C4116yescomplemented
64C2×#124×C79C2213yes—
65C2×C22⋊Q8×C79C2213yes—
66C2×#121×C79C2213yes—
67C2×C4×Q8×C79C2211yescharacteristic
68C2×C4×D4×C79C2213yes—
69C23×Dic79C2313yes—
70C23×Dic79C2313yes—
71C23×Dic79C2313yes—
72C23×Dic79C2311yescharacteristic
73Q8×Dic79—24no—
74Q8×Dic79—24no—
75Q8×Dic79—24no—
76Q8×Dic79—212no—
77Q8×Dic79—212no—
78Q8×Dic79D418yescomplemented
79D4×Dic79—212no—
80D4×Dic79—212no—
81D4×Dic79—212no—
82D4×Dic79—212no—
83#14579120—212no—
84C2×C4⋊Dic79—212no—
85C2×C4⋊Dic79C2313yes—
86C2×C4⋊Dic79C2313yes—
87C2×C4⋊Dic79C2313yes—
88C2×C4⋊Dic79C2313yes—
89C2×C4⋊Dic79C2313yes—
90C2×C4⋊Dic79C2316yes—
91C2×C4⋊Dic79C2313yes—
92C2×C22⋊Dic79C2313yes—
93C2×C22⋊Dic79C2313yes—
94C2×C22⋊Dic79C2313yes—
95C2×C22⋊Dic79C2316yes—
96C2×C22⋊Dic79C2316yes—
97C2×C22⋊Dic79C2311yescharacteristic
98C2×C4×Dic79—212no—
99C2×C4×Dic79—212no—
100C2×C4×Dic79C2311yescharacteristic
101C2×C4×Dic79C2313yes—
102C2×C4×Dic79C2313yes—
103C2×C4×Dic79C2313yes—
104C2×C4×Dic79C2313yes—
105C2×C4×Dic79C2313yes—
106C2×C4×Dic79C2313yes—
107C2×C4×Dic79C2311yescharacteristic
108C2×C4×Dic79C2313yes—
109C2×C4×Dic79C2313yes—
110C2×C4×Dic79C2313yes—
111C2×C4×Dic79C2313yes—
112C79⋊#95C2311yescharacteristic
113C79⋊#95C2313yes—
114C79⋊#95C2313yes—
115C79⋊#95C2313yes—
116C79⋊#95C2311yescharacteristic
117C79⋊#95C2313yes—
118C79⋊#95C2316yes—
119C79⋊#95C2316yes—
120C79⋊#95C2316yes—
121C2×#41×C79—24no—
122C2×#41×C79—24no—
123C2×#41×C79C2×C418yescomplemented
124C22×Q8×C79—24no—
125C22×Q8×C79—24no—
126C22×Q8×C79C2×C418yescomplemented
127C22×Q8×C79C2313yes—
128C22×Q8×C79C2311yescharacteristic
129C22×D4×C79C2313yes—
130C22×D4×C79C2313yes—
131C23×C4×C79C2313yes—
132C23×C4×C79C2313yes—
133#124×C79C2×C4124yescomplemented
134C22⋊Q8×C79C2×C4124yescomplemented
135#121×C79C2×C4124yescomplemented
136C4×Q8×C79C2×C418yescomplemented
137C4×D4×C79C2×C4124yescomplemented
138C2×C4⋊C4×C79C2313yes—
139C2×C4⋊C4×C79C2313yes—
140C2×C22⋊C4×C79C2311yescharacteristic
141C2×C22⋊C4×C79C2313yes—
142C2×C22⋊C4×C79C2316yes—
143C2×C42×C79C2313yes—
144C22×Dic79—22no—
145C22×Dic79—22no—
146C22×Dic79—26no—
147C22×Dic79—26no—
148C22×Dic79—26no—
149C22×Dic79—26no—
150C22×Dic79—26no—
151C22×Dic79—26no—
152C22×Dic79—26no—
153C22×Dic79—43no—
154C22×Dic79—43no—
155C22×Dic79#4114yescomplemented
156C22×Dic79C2413yes—
157C22×Dic79C2413yes—
158C22×Dic79C2413yes—
159C22×Dic79C2413yes—
160C22×Dic79C2411yescharacteristic
161C22×Dic79C2411yescharacteristic
162C22×Dic79C2411yescharacteristic
163C22×Dic79C2411yescharacteristic
164C4⋊Dic79—212no—
165C4⋊Dic79—26no—
166C4⋊Dic79—26no—
167C4⋊Dic79—26no—
168C4⋊Dic79—26no—
169C4⋊Dic79—26no—
170C4⋊Dic79C2×D4112yes—
171C22⋊Dic79—212no—
172C22⋊Dic79—26no—
173C22⋊Dic79—26no—
174C22⋊Dic79—26no—
175C22⋊Dic79—46no—
176C22⋊Dic79#4114yescomplemented
177C4×Dic79—22no—
178C4×Dic79—26no—
179C4×Dic79—26no—
180C4×Dic79—26no—
181C4×Dic79—26no—
182C4×Dic79—26no—
183C4×Dic79—22no—
184C4×Dic79—26no—
185C4×Dic79—26no—
186C4×Dic79—26no—
187C4×Dic79—43no—
188C4×Dic79C2×D4112yes—
189C24×C79C2413yes—
190C24×C79C2411yescharacteristic
191#41×C79—232no—
192C2×Q8×C79—232no—
193C2×Q8×C79—26no—
194C2×Q8×C79—26no—
195C2×Q8×C79C22×C4112yes—
196C2×Q8×C79C22×C414yes—
197C2×Q8×C79C2×D414yes—
198C2×Q8×C79#4114yes—
199C2×D4×C79—26no—
200C2×D4×C79—26no—
201C2×D4×C79—26no—
202C2×D4×C79—26no—
203C2×D4×C79C22×C4112yes—
204C2×D4×C79C22×C4112yes—
205C22×C4×C79—26no—
206C22×C4×C79—26no—
207C22×C4×C79—26no—
208C22×C4×C79—26no—
209C22×C4×C79C22×C4112yes—
210C22×C4×C79C22×C4112yes—
211C22×C4×C79C2411yescharacteristic
212C22×C4×C79C2413yes—
213C22×C4×C79C2413yes—
214C22×C4×C79C2411yescharacteristic
215C22×C4×C79C2413yes—
216C4⋊C4×C79C22×C4112yes—
217C4⋊C4×C79C22×C4112yes—
218C22⋊C4×C79C22×C414yes—
219C22⋊C4×C79C22×C4112yes—
220C22⋊C4×C79C22×C4124yes—
221C42×C79C22×C4112yes—
222C23×C79—21no—
223C23×C79—21no—
224C23×C79—21no—
225C23×C79—21no—
226C23×C79—23no—
227C23×C79—23no—
228C23×C79—23no—
229C23×C79—23no—
230C23×C79—23no—
231C23×C79—23no—
232C23×C79C23×C416yes—
233C23×C79C23×C412yes—
234C23×C79C2×#4112yes—
235C23×C79C2×#4112yes—
236C23×C79C2511yescharacteristic
237Q8×C79—224no—
238Q8×C79C4×D4116yescomplemented
239D4×C79—224no—
240D4×C79—224no—
241C2×C4×C79—21no—
242C2×C4×C79—23no—
243C2×C4×C79—23no—
244C2×C4×C79—23no—
245C2×C4×C79—21no—
246C2×C4×C79—23no—
247C2×C4×C79—21no—
248C2×C4×C79—21no—
249C2×C4×C79—224no—
250C2×C4×C79—224no—
251C2×C4×C79C23×C412yes—
252C2×C4×C79C23×C416yes—
253C2×C4×C79C23×C416yes—
254C2×C4×C79C23×C412yes—
255C2×C4×C79C23×C416yes—
256C2×C4×C79C22×D416yes—
257C2×C4×C79C2×#4116yes—
258C2×Dic79—21no—
259C2×Dic79—21no—
260C2×Dic79—21no—
261C2×Dic79—23no—
262C2×Dic79—21no—
263C2×Dic79—21no—
264C2×Dic79—23no—
265C2×Dic79—21no—
266C2×Dic79—28no—
267C2×Dic79—23no—
268C2×Dic79—23no—
269C2×Dic79—23no—
270C2×Dic79—23no—
271C2×Dic79—23no—
272C2×Dic79—23no—
273C2×Dic79—23no—
274C2×Dic79—23no—
275C2×Dic79—23no—
276C2×Dic79—412no—
277C2×Dic79—412no—
278C2×Dic79—412no—
279C2×Dic79C22×D416yes—
280C2×Dic79C22×D412yes—
281C2×Dic79C2×#4112yes—
282C2×Dic79C2×#4112yes—
283C2×Dic79C2×#4112yes—
284C2×Dic79C2×#4112yes—
285C2×Dic792−1+412yes—
286C22×C79—22no—
287C22×C79—22no—
288C22×C79—22no—
289C22×C79—22no—
290C22×C79—22no—
291C22×C79—22no—
292C22×C79—26no—
293C22×C79—26no—
294C22×C79—26no—
295C22×C79—43no—
296C22×C79—43no—
297C22×C79—43no—
298C22×C79—43no—
299C22×C79C4×#4114yescomplemented
300C22×C79C24×C411yescharacteristic
301C22×C79C23×D411yescharacteristic
302C22×C79C22×#4111yescharacteristic
303C22×C79C22×#4111yescharacteristic
304C22×C79C22×#4111yescharacteristic
305C22×C79C2×2−1+411yescharacteristic
306C22×C79#58511yescharacteristic
307C4×C79—22no—
308C4×C79—26no—
309C4×C79—26no—
310C4×C79—22no—
311C4×C79C2×C4×D4112yes—
312Dic79—22no—
313Dic79—22no—
314Dic79—26no—
315Dic79—22no—
316Dic79—43no—
317Dic79—43no—
318Dic79—43no—
319Dic79#54814yesdirect product factor
320C4×#548—791nomaximal, Sylow
321C2×C79—24no—
322C2×C79—46no—
323C2×C79C22×C4×D411yescharacteristic
324C2×C79C2×C4×#4111yescharacteristic
325C2×C79C4×2−1+411yescharacteristic
326C2×C79C2×#54811yescharacteristic
327C2×C79D4×#4111yescharacteristic
328C2×C79#348011yescharacteristic
329C2×C79#348211yescharacteristic
330C2×#548D7911yescharacteristic
331C2×C4×#41—791no—
332C22×C4×Q8—791no—
333#2367—793no—
334#2362—793no—
335#2361—793no—
336#2352—793no—
337#2351—791no—
338#2341—791no—
339Q8×C22⋊C4—791no—
340C4×#124—793no—
341C4×C22⋊Q8—793no—
342C4×#121—793no—
343C42×Q8—791no—
344C42×D4—793no—
345C79C4×#54811yescharacteristic, complemented, Sylow
346C22×#41C2×D7911yescharacteristic
347C23×Q8C2×D7911yescharacteristic
348#548Dic79116yesdirect product factor
349C2×#124C2×D7913yes—
350C2×C22⋊Q8C2×D7913yes—
351C2×#121C2×D7913yes—
352C4×#41—1588no—
353C2×C4×Q8—791no—
354C2×C4×Q8—791no—
355C2×C4×Q8—791no—
356C2×C4×Q8—791no—
357C2×C4×Q8—793no—
358C2×C4×Q8—793no—
359C2×C4×Q8—1588no—
360C2×C4×Q8C2×D7911yescharacteristic
361C2×C4×D4—793no—
362C2×C4×D4—793no—
363C2×C4×D4—793no—
364C2×C4×D4—793no—
365C2×C4×D4C2×D7913yes—
366C2×#117—793no—
367C22×C4⋊C4—793no—
368C22×C42—793no—
369C22×C42—793no—
370#391—793no—
371#391—793no—
372#390—793no—
373#390—793no—
374#389—793no—
375#389—793no—
376#388—796no—
377#388—796no—
378#388—796no—
379#387—796no—
380#386—796no—
381#385—796no—
382#382—793no—
383#380—793no—
384#380—793no—
385C4×C4⋊C4—793no—
386C4×C4⋊C4—793no—
387C4×C4⋊C4—793no—
388C4×C4⋊C4—793no—
389C4×C4⋊C4—793no—
390C4×C4⋊C4—793no—
391C4×C22⋊C4—793no—
392C4×C22⋊C4—793no—
393C4×C22⋊C4—793no—
394C4×C22⋊C4—793no—
395C4×C22⋊C4—791no—
396C4×C22⋊C4—793no—
397C4×C22⋊C4—796no—
398C43—793no—
399C2×#41—24no—
400C2×#41—24no—
401C2×#41C2×Dic7918yescomplemented
402C22×Q8—24no—
403C22×Q8—24no—
404C22×Q8C2×Dic7918yescomplemented
405C22×Q8C22×D7913yes—
406C22×Q8C22×D7911yescharacteristic
407C22×D4C22×D7913yes—
408C22×D4C22×D7913yes—
409C23×C4—793no—
410C23×C4—793no—
411C23×C4—791no—
412C23×C4—793no—
413C23×C4C22×D7913yes—
414C23×C4C22×D7913yes—
415#124C2×Dic79124yescomplemented
416C22⋊Q8C2×Dic79124yescomplemented
417#121C2×Dic79124yescomplemented
418C4×Q8—798no—
419C4×Q8—15812no—
420C4×Q8—15812no—
421C4×Q8—1584no—
422C4×Q8—1584no—
423C4×Q8—1584no—
424C4×Q8C2×Dic7918yescomplemented
425C4×D4—15812no—
426C4×D4—15812no—
427C4×D4—15812no—
428C4×D4—15812no—
429C4×D4C2×Dic79124yescomplemented
430#117—15812no—
431C2×C4⋊C4—793no—
432C2×C4⋊C4—793no—
433C2×C4⋊C4—796no—
434C2×C4⋊C4—793no—
435C2×C4⋊C4—793no—
436C2×C4⋊C4—793no—
437C2×C4⋊C4—793no—
438C2×C4⋊C4—15812no—
439C2×C4⋊C4C22×D7913yes—
440C2×C4⋊C4C22×D7913yes—
441C2×C22⋊C4—796no—
442C2×C22⋊C4—791no—
443C2×C22⋊C4—796no—
444C2×C22⋊C4—793no—
445C2×C22⋊C4—793no—
446C2×C22⋊C4—793no—
447C2×C22⋊C4C22×D7911yescharacteristic
448C2×C22⋊C4C22×D7913yes—
449C2×C22⋊C4C22×D7916yes—
450C2×C42—793no—
451C2×C42—793no—
452C2×C42—793no—
453C2×C42—793no—
454C2×C42—793no—
455C2×C42—793no—
456C2×C42—793no—
457C2×C42—793no—
458C2×C42—793no—
459C2×C42—793no—
460C2×C42—791no—
461C2×C42—791no—
462C2×C42—15812no—
463C2×C42—15812no—
464C2×C42C22×D7913yes—
465#95—791no—
466#95—791no—
467#95—793no—
468#95—793no—
469#95—793no—
470#95—793no—
471#95—796no—
472#95—796no—
473#95—796no—
474C24C23×D7913yes—
475C24C23×D7911yescharacteristic
476#41—232no—
477C2×Q8—232no—
478C2×Q8—26no—
479C2×Q8—26no—
480C2×Q8C22×Dic79112yes—
481C2×Q8C22×Dic7914yes—
482C2×Q8D4×D7914yes—
483C2×Q8#1192962314yes—
484C2×D4—26no—
485C2×D4—26no—
486C2×D4—26no—
487C2×D4—26no—
488C2×D4C22×Dic79112yes—
489C2×D4C22×Dic79112yes—
490C22×C4—26no—
491C22×C4—26no—
492C22×C4—26no—
493C22×C4—26no—
494C22×C4—3163no—
495C22×C4—3163no—
496C22×C4—791no—
497C22×C4—794no—
498C22×C4—791no—
499C22×C4—791no—
500C22×C4—791no—
501C22×C4—793no—
502C22×C4—793no—
503C22×C4—793no—
504C22×C4—793no—
505C22×C4—1586no—
506C22×C4—1586no—
507C22×C4—1586no—
508C22×C4—1586no—
509C22×C4—1586no—
510C22×C4—1586no—
511C22×C4—1586no—
512C22×C4—1582no—
513C22×C4—1582no—
514C22×C4C22×Dic79112yes—
515C22×C4C22×Dic79112yes—
516C22×C4C23×D7911yescharacteristic
517C22×C4C23×D7911yescharacteristic
518C22×C4C23×D7913yes—
519C22×C4C23×D7913yes—
520C22×C4C23×D7913yes—
521C4⋊C4—7912no—
522C4⋊C4—15812no—
523C4⋊C4—1586no—
524C4⋊C4—1586no—
525C4⋊C4—1586no—
526C4⋊C4—1586no—
527C4⋊C4—1586no—
528C4⋊C4C22×Dic79112yes—
529C4⋊C4C22×Dic79112yes—
530C22⋊C4—3166no—
531C22⋊C4—794no—
532C22⋊C4—15812no—
533C22⋊C4—1586no—
534C22⋊C4—1586no—
535C22⋊C4—1586no—
536C22⋊C4C22×Dic7914yes—
537C22⋊C4C22×Dic79112yes—
538C22⋊C4C22×Dic79124yes—
539C42—3163no—
540C42—7912no—
541C42—1582no—
542C42—1582no—
543C42—1586no—
544C42—1586no—
545C42—1586no—
546C42—1586no—
547C42—1586no—
548C42—1586no—
549C42—1586no—
550C42—1586no—
551C42C22×Dic79112yes—
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—23no—
557C23—23no—
558C23—23no—
559C23—23no—
560C23—23no—
561C23—23no—
562C23C23×Dic7916yes—
563C23C23×Dic7912yes—
564C23#41×D7912yes—
565C23#41×D7912yes—
566C23C24×D7911yescharacteristic
567Q8—224no—
568Q8D4×Dic79116yescomplemented
569D4—224no—
570D4—224no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—23no—
575C2×C4—23no—
576C2×C4—23no—
577C2×C4—21no—
578C2×C4—23no—
579C2×C4—224no—
580C2×C4—224no—
581C2×C4—31612no—
582C2×C4—31612no—
583C2×C4—31612no—
584C2×C4—792no—
585C2×C4—792no—
586C2×C4—792no—
587C2×C4—796no—
588C2×C4—792no—
589C2×C4—792no—
590C2×C4—792no—
591C2×C4—1583no—
592C2×C4—1583no—
593C2×C4—1583no—
594C2×C4—1583no—
595C2×C4—1583no—
596C2×C4—1583no—
597C2×C4—1583no—
598C2×C4—1583no—
599C2×C4—1583no—
600C2×C4—1588no—
601C2×C4—1581no—
602C2×C4—1581no—
603C2×C4—1583no—
604C2×C4—1581no—
605C2×C4—1581no—
606C2×C4—1581no—
607C2×C4—1583no—
608C2×C4—1581no—
609C2×C4C23×Dic7912yes—
610C2×C4C23×Dic7916yes—
611C2×C4C23×Dic7916yes—
612C2×C4C23×Dic7912yes—
613C2×C4C23×Dic7916yes—
614C2×C4C2×D4×D7916yes—
615C2×C4C2×#1192962316yes—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—26no—
623C22—26no—
624C22—26no—
625C22—43no—
626C22—43no—
627C22—43no—
628C22—43no—
629C22#41×Dic7914yescomplemented
630C22C24×Dic7911yescharacteristic
631C22C22×D4×D7911yescharacteristic
632C22C2×#41×D7911yescharacteristic
633C22C2×#41×D7911yescharacteristic
634C22C22×#1192962311yescharacteristic
635C222−1+4×D7911yescharacteristic
636C22#1909940011yescharacteristic
637C4—22no—
638C4—26no—
639C4—26no—
640C4—22no—
641C4—3163no—
642C4—3163no—
643C4—3163no—
644C4—794no—
645C4—1582no—
646C4—1582no—
647C4—1586no—
648C4—1582no—
649C4C2×D4×Dic79112yes—
650C2—24no—
651C2—46no—
652C2C22×D4×Dic7911yescharacteristic
653C2C2×#41×Dic7911yescharacteristic
654C22−1+4×Dic7911yescharacteristic
655C2#548×D7911yescharacteristic
656C2#2377688911yescharacteristic
657C2#2377699011yescharacteristic
658C2#2377701611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutatorC22×C79C24×C4
Fitting, prime radicalC2×#548×C79C2
socle, cosocleC23×C79C25
hypercenterC2×#548D79
hypocenterC79C4×#548
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C23 ◁ C2×#548

Complements

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

NH ≅ G/Ntype
1. C2×#41×Dic79C2semidirect
2. C22×Q8×Dic79C2semidirect
3. #23766475C2semidirect
4. #23766431C2semidirect
5. #23766420C2semidirect
6. #23766329C2semidirect
7. #23766321C2semidirect
8. #23766241C2semidirect
9. Q8×C22⋊Dic79C2semidirect
10. #124×Dic79C2semidirect
11. C22⋊Q8×Dic79C2semidirect
12. #121×Dic79C2semidirect
13. C4×Q8×Dic79C2semidirect
14. C4×D4×Dic79C2semidirect
63. #548×C79C4semidirect
78. Q8×Dic79D4semidirect
123. C2×#41×C79C2×C4semidirect
126. C22×Q8×C79C2×C4semidirect
133. #124×C79C2×C4semidirect
134. C22⋊Q8×C79C2×C4semidirect
135. #121×C79C2×C4semidirect
136. C4×Q8×C79C2×C4semidirect
137. C4×D4×C79C2×C4semidirect
155. C22×Dic79#41semidirect
176. C22⋊Dic79#41semidirect
238. Q8×C79C4×D4semidirect
299. C22×C79C4×#41semidirect
319. Dic79#548direct (N × H)
345. C79C4×#548semidirect
348. #548Dic79direct (N × H)
401. C2×#41C2×Dic79semidirect
404. C22×Q8C2×Dic79semidirect
415. #124C2×Dic79semidirect
416. C22⋊Q8C2×Dic79semidirect
417. #121C2×Dic79semidirect
424. C4×Q8C2×Dic79semidirect
429. C4×D4C2×Dic79semidirect
568. Q8D4×Dic79semidirect
629. C22#41×Dic79semidirect

Maximal subgroups

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

subgroupindex
C2×#41×Dic792
C22×Q8×Dic792
#237664752
#237664312
#237664202
#237663292
#237663212
#237662412
Q8×C22⋊Dic792
#124×Dic792
C22⋊Q8×Dic792
#121×Dic792
C4×Q8×Dic792
C4×D4×Dic792
C2×#548×C792
C4×#54879