Finite Group Databasebeta

← #2280×D79 #34446534

Subgroups — #2280×D79 #34446534

Order 20224.

7630 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×C4×D79C211yesmaximal, characteristic
2C2×#117×D79C212yesmaximal, complemented
3#23765783C211yesmaximal, characteristic, complemented
4#23765782C214yesmaximal, complemented
5#23765781C214yesmaximal, complemented
6#23765780C212yesmaximal, complemented
7#23765779C212yesmaximal, complemented
8#23765778C212yesmaximal, complemented
9#381×D79C212yesmaximal, complemented
10#380×D79C214yesmaximal, complemented
11#379×D79C212yesmaximal
12C4×C22⋊C4×D79C214yesmaximal, complemented
13C79×#2280C211yesmaximal, characteristic, complemented
14C25×D79C2211yescharacteristic
15C24×Dic79C2211yescharacteristic
16C23×C4×D79—216no—
17C23×C4×D79C4116yescomplemented
18C23×C4×D79C2212yes—
19C23×C4×D79C2211yescharacteristic
20C23×C4×D79C2212yes—
21C23×C4×D79C2211yescharacteristic
22C23×C4×D79C2211yescharacteristic
23C23×C4×D79C2212yes—
24C23×C4×D79C2212yes—
25C23×C4×D79C2211yescharacteristic
26C2×#14579120C2212yescomplemented
27C2×#14579119C2214yescomplemented
28C2×#14579118C2214yescomplemented
29C2×#14579117C2214yescomplemented
30#117×D79—216no—
31C2×C4⋊C4×D79C2214yescomplemented
32C2×C22⋊C4×D79C2218yes—
33C2×C22⋊C4×D79C2214yes—
34C2×C42×D79C2214yescomplemented
35#19098426C2212yescomplemented
36#19098425C2218yescomplemented
37#19098424C2214yescomplemented
38#19098423C2214yescomplemented
39#19098422C2218yescomplemented
40#19098421C2218yescomplemented
41#19098420C2218yescomplemented
42#19098419C2212yes—
43#19098418C2214yes—
44#19098418C2218yes—
45C22⋊C4×Dic79C2218yescomplemented
46C4×(C2×D79)⋊C4C2218yescomplemented
47C4×C22⋊Dic79C2214yescomplemented
48#19098410C2218yescomplemented
49#95×D79C2218yescomplemented
50C24×C4×C79C2211yescharacteristic
51C2×#117×C79C2212yescomplemented
52#381×C79C2212yescomplemented
53#380×C79C2214yescomplemented
54#379×C79C2212yes—
55C4×C22⋊C4×C79C2214yescomplemented
56C24×D79—28no—
57C24×D79—216no—
58C24×D79C2×C418yes—
59C24×D79C2311yescharacteristic
60C24×D79C2312yes—
61C24×D79C2311yescharacteristic
62C24×D79C2312yes—
63C23×Dic79—28no—
64C23×Dic79C2×C418yescomplemented
65C23×Dic79C2312yes—
66C23×Dic79C2312yes—
67C23×Dic79C2311yescharacteristic
68C23×Dic79C2311yescharacteristic
69C22×C4×D79—28no—
70C22×C4×D79—28no—
71C22×C4×D79—28no—
72C22×C4×D79—2128no—
73C22×C4×D79—216no—
74C22×C4×D79—216no—
75C22×C4×D79—216no—
76C22×C4×D79—216no—
77C22×C4×D79C2×C4116yes—
78C22×C4×D79C2×C4116yes—
79C22×C4×D79C2×C418yes—
80C22×C4×D79C2×C418yes—
81C22×C4×D79C2×C418yescomplemented
82C22×C4×D79C2×C4116yescomplemented
83C22×C4×D79C2×C4116yescomplemented
84C22×C4×D79C2×C418yescomplemented
85C22×C4×D79D4116yes—
86C22×C4×D79C2318yes—
87C22×C4×D79C2312yes—
88C22×C4×D79C2312yes—
89C22×C4×D79C2312yes—
90C22×C4×D79C2312yes—
91C22×C4×D79C2312yes—
92C22×C4×D79C2312yes—
93C22×C4×D79C2311yescharacteristic
94C22×C4×D79C2311yescharacteristic
95C22×C4×D79C2311yescharacteristic
96C22×C4×D79C2311yescharacteristic
97#14579120—28no—
98#14579119—216no—
99#14579118—216no—
100#14579117—216no—
101C2×C4⋊Dic79C2314yescomplemented
102C2×Dic79⋊C4C2318yescomplemented
103C4⋊C4×D79—216no—
104C2×C22⋊Dic79C2318yes—
105C2×C22⋊Dic79C2314yes—
106C2×(C2×D79)⋊C4C23116yes—
107C2×(C2×D79)⋊C4C2318yes—
108C22⋊C4×D79—216no—
109C22⋊C4×D79—232no—
110C2×C4×Dic79C2318yescomplemented
111C2×C4×Dic79C2314yescomplemented
112C42×D79—216no—
113C79⋊#95C2318yescomplemented
114C79⋊#95C23116yescomplemented
115C25×C79C2311yescharacteristic
116C23×C4×C79—28no—
117C23×C4×C79C2×C418yescomplemented
118C23×C4×C79C2312yes—
119C23×C4×C79C2312yes—
120C23×C4×C79C2311yescharacteristic
121C23×C4×C79C2311yescharacteristic
122#117×C79—28no—
123C2×C4⋊C4×C79C2314yescomplemented
124C2×C22⋊C4×C79C2318yes—
125C2×C22⋊C4×C79C2314yes—
126C2×C42×C79C2314yescomplemented
127#95×C79C2318yescomplemented
128C23×D79—2128no—
129C23×D79—24no—
130C23×D79—28no—
131C23×D79—232no—
132C23×D79—264no—
133C23×D79—28no—
134C23×D79—28no—
135C23×D79—28no—
136C23×D79—28no—
137C23×D79—28no—
138C23×D79—28no—
139C23×D79C22×C414yes—
140C23×D79C22×C418yes—
141C23×D79C22×C414yes—
142C23×D79C22×C418yes—
143C23×D79C2×D418yes—
144C23×D79#41116yes—
145C23×D79C2411yescharacteristic
146C23×D79C2412yes—
147C23×D79C2411yescharacteristic
148C22×Dic79—232no—
149C22×Dic79—28no—
150C22×Dic79—28no—
151C22×Dic79—24no—
152C22×Dic79C22×C414yes—
153C22×Dic79C22×C418yes—
154C22×Dic79C22×C418yes—
155C22×Dic79C22×C414yes—
156C22×Dic79C2×D418yes—
157C22×Dic79C2418yes—
158C22×Dic79C2412yes—
159C22×Dic79C2411yescharacteristic
160C22×Dic79C2411yescharacteristic
161C2×C4×D79—232no—
162C2×C4×D79—28no—
163C2×C4×D79—28no—
164C2×C4×D79—264no—
165C2×C4×D79—264no—
166C2×C4×D79—264no—
167C2×C4×D79—264no—
168C2×C4×D79—232no—
169C2×C4×D79—28no—
170C2×C4×D79—28no—
171C2×C4×D79—216no—
172C2×C4×D79—232no—
173C2×C4×D79—232no—
174C2×C4×D79—28no—
175C2×C4×D79—28no—
176C2×C4×D79C22⋊C4164yescomplemented
177C2×C4×D79C22×C418yes—
178C2×C4×D79C22×C418yes—
179C2×C4×D79C22×C418yes—
180C2×C4×D79C22×C418yes—
181C2×C4×D79C22×C418yes—
182C2×C4×D79C22×C418yes—
183C2×C4×D79C22×C414yes—
184C2×C4×D79C22×C414yes—
185C2×C4×D79C22×C414yes—
186C2×C4×D79C22×C414yes—
187C2×C4×D79C2×D418yes—
188C2×C4×D79C2×D418yes—
189C2×C4×D79C2×D418yes—
190C2×C4×D79C2×D418yes—
191C4⋊Dic79—28no—
192Dic79⋊C4—216no—
193C22⋊Dic79—28no—
194C22⋊Dic79—216no—
195(C2×D79)⋊C4—216no—
196(C2×D79)⋊C4—232no—
197C4×Dic79—216no—
198C4×Dic79—28no—
199C24×C79—24no—
200C24×C79—28no—
201C24×C79C22×C414yes—
202C24×C79C2411yescharacteristic
203C24×C79C2412yes—
204C22×C4×C79—24no—
205C22×C4×C79—232no—
206C22×C4×C79—28no—
207C22×C4×C79—28no—
208C22×C4×C79C22×C414yes—
209C22×C4×C79C22×C418yes—
210C22×C4×C79C22×C418yes—
211C22×C4×C79C22×C414yes—
212C22×C4×C79C2×D418yes—
213C22×C4×C79C2418yes—
214C22×C4×C79C2412yes—
215C22×C4×C79C2411yescharacteristic
216C22×C4×C79C2411yescharacteristic
217C4⋊C4×C79—28no—
218C22⋊C4×C79—28no—
219C22⋊C4×C79—216no—
220C42×C79—28no—
221C23×C79—232no—
222C23×C79—28no—
223C23×C79—216no—
224C23×C79—24no—
225C23×C79—24no—
226C23×C79—24no—
227C23×C79C23×C412yes—
228C23×C79C23×C414yes—
229C23×C79C22×D414yes—
230C23×C79C2×#4118yes—
231C23×C79C2511yescharacteristic
232C22×D79—264no—
233C22×D79—232no—
234C22×D79—2256no—
235C22×D79—28no—
236C22×D79—216no—
237C22×D79—24no—
238C22×D79—24no—
239C22×D79—24no—
240C22×D79—216no—
241C22×D79—216no—
242C22×D79—216no—
243C22×D79—216no—
244C22×D79—216no—
245C22×D79—216no—
246C22×D79—232no—
247C22×D79—264no—
248C22×D79C2×C22⋊C4116yes—
249C22×D79#117132yescomplemented
250C22×D79C23×C412yes—
251C22×D79C23×C414yes—
252C22×D79C23×C412yes—
253C22×D79C22×D414yes—
254C22×D79C22×D414yes—
255C22×D79C2×#4118yes—
256C22×D79C2×#4118yes—
257C2×C4×C79—28no—
258C2×C4×C79—24no—
259C2×C4×C79—216no—
260C2×C4×C79—216no—
261C2×C4×C79—28no—
262C2×C4×C79—216no—
263C2×C4×C79C2×C22⋊C4116yescomplemented
264C2×C4×C79C23×C414yes—
265C2×C4×C79C23×C412yes—
266C2×C4×C79C23×C412yes—
267C2×C4×C79C22×D414yes—
268C2×C4×C79C22×D414yes—
269C2×Dic79—28no—
270C2×Dic79—24no—
271C2×Dic79—216no—
272C2×Dic79—216no—
273C2×Dic79—28no—
274C2×Dic79—216no—
275C2×Dic79C2×C22⋊C4116yescomplemented
276C2×Dic79C23×C414yes—
277C2×Dic79C23×C412yes—
278C2×Dic79C23×C412yes—
279C2×Dic79C22×D414yes—
280C2×Dic79C22×D414yes—
281C4×D79—216no—
282C4×D79—216no—
283C4×D79—216no—
284C4×D79—216no—
285C4×D79—216no—
286C4×D79—216no—
287C4×D79—432no—
288C4×D79C2×C22⋊C4116yes—
289C4×D79C2×C22⋊C4116yes—
290C4×D79C2×C22⋊C4116yescomplemented
291C4×D79C2×C22⋊C4116yescomplemented
292C22×C79—232no—
293C22×C79—24no—
294C22×C79—24no—
295C22×C79—24no—
296C22×C79—28no—
297C22×C79—216no—
298C22×C79C22×C22⋊C414yes—
299C22×C79C2×#11718yescomplemented
300C22×C79C24×C411yescharacteristic
301C22×C79C23×D412yes—
302C22×C79C22×#4114yes—
303C2×D79—264no—
304C2×D79—232no—
305C2×D79—24no—
306C2×D79—24no—
307C2×D79—24no—
308C2×D79—28no—
309C2×D79—216no—
310C2×D79—232no—
311C2×D79—264no—
312C2×D79C22×C22⋊C414yes—
313C2×D79C22×C22⋊C414yes—
314C2×D79C2×#11718yes—
315C2×D79C2×#11718yescomplemented
316C2×D79#525116yes—
317C4×C79—24no—
318C4×C79—48no—
319C4×C79C22×C22⋊C414yes—
320C4×C79C22×C22⋊C414yes—
321Dic79—24no—
322Dic79—48no—
323Dic79C22×C22⋊C414yes—
324Dic79C22×C22⋊C414yes—
325C2×#2280—791nomaximal, Sylow
326C2×C79—24no—
327C2×C79—28no—
328C2×C79C23×C22⋊C411yescharacteristic
329C2×C79C22×#11712yes—
330C2×C79C2×#52514yes—
331D79—24no—
332D79—28no—
333D79#228018yesdirect product factor
334C25×C4—791no—
335C22×#117—792no—
336#2280—792no—
337#2280—794no—
338#2280—792no—
339#2280—794no—
340#2280—791no—
341#2280—792no—
342#2280D7911yescharacteristic, direct product factor
343C2×#381—792no—
344C2×#380—794no—
345C2×#379—792no—
346C2×C4×C22⋊C4—794no—
347C79C2×#228011yescharacteristic, complemented, Sylow
348C26—791no—
349C24×C4—791no—
350C24×C4—791no—
351C24×C4—792no—
352C24×C4—792no—
353C24×C4—791no—
354C24×C4—791no—
355C24×C4—792no—
356C24×C4—792no—
357C24×C4—791no—
358C24×C4—7916no—
359C24×C4—15816no—
360C24×C4C2×D7911yescharacteristic
361C2×#117—792no—
362C2×#117—794no—
363C2×#117—794no—
364C2×#117—794no—
365C2×#117—15816no—
366C2×#117C2×D7912yescomplemented
367C22×C4⋊C4—794no—
368C22×C22⋊C4—794no—
369C22×C22⋊C4—798no—
370C22×C42—794no—
371#381—792no—
372#381—794no—
373#381—798no—
374#381C2×D7912yescomplemented
375#380—794no—
376#380—798no—
377#380—798no—
378#380—798no—
379#380C2×D7914yescomplemented
380#379—792no—
381#379—794no—
382#379—798no—
383#379C2×D7912yes—
384C4×C22⋊C4—794no—
385C4×C22⋊C4—798no—
386C4×C22⋊C4—798no—
387C4×C22⋊C4—798no—
388C4×C22⋊C4C2×D7914yescomplemented
389C2×#95—798no—
390C25—792no—
391C25—791no—
392C25—798no—
393C25—792no—
394C25—791no—
395C25—1588no—
396C25—15816no—
397C25C22×D7911yescharacteristic
398C23×C4—28no—
399C23×C4—791no—
400C23×C4—798no—
401C23×C4—7916no—
402C23×C4—791no—
403C23×C4—791no—
404C23×C4—791no—
405C23×C4—791no—
406C23×C4—798no—
407C23×C4—792no—
408C23×C4—792no—
409C23×C4—791no—
410C23×C4—7916no—
411C23×C4—7916no—
412C23×C4—798no—
413C23×C4—798no—
414C23×C4—7916no—
415C23×C4—7916no—
416C23×C4—798no—
417C23×C4—792no—
418C23×C4—792no—
419C23×C4—792no—
420C23×C4—792no—
421C23×C4—792no—
422C23×C4—792no—
423C23×C4—798no—
424C23×C4—1588no—
425C23×C4—158128no—
426C23×C4—15816no—
427C23×C4—15816no—
428C23×C4—15816no—
429C23×C4—15816no—
430C23×C4—1588no—
431C23×C4—1588no—
432C23×C4—1588no—
433C23×C4C4×D7918yescomplemented
434C23×C4C22×D7912yes—
435C23×C4C22×D7911yescharacteristic
436C23×C4C22×D7912yes—
437C23×C4C22×D7911yescharacteristic
438#117—28no—
439#117—15816no—
440#117—15816no—
441#117—15816no—
442#117—1588no—
443C2×C4⋊C4—798no—
444C2×C4⋊C4—794no—
445C2×C4⋊C4—15816no—
446C2×C4⋊C4C22×D7914yescomplemented
447C2×C22⋊C4—794no—
448C2×C22⋊C4—798no—
449C2×C22⋊C4—798no—
450C2×C22⋊C4—7916no—
451C2×C22⋊C4—15816no—
452C2×C22⋊C4—15832no—
453C2×C22⋊C4C22×D7914yes—
454C2×C22⋊C4C22×D7918yes—
455C2×C42—798no—
456C2×C42—794no—
457C2×C42—15816no—
458C2×C42C22×D7914yescomplemented
459#95—7916no—
460#95—798no—
461#95C22×D7918yescomplemented
462C24—28no—
463C24—24no—
464C24—791no—
465C24—7916no—
466C24—791no—
467C24—792no—
468C24—794no—
469C24—798no—
470C24—798no—
471C24—798no—
472C24—794no—
473C24—15832no—
474C24—1588no—
475C24—1588no—
476C24—15864no—
477C24—1588no—
478C24—1588no—
479C24—1588no—
480C24—1588no—
481C24—158128no—
482C24—1588no—
483C24—1584no—
484C24C2×C4×D7914yes—
485C24C23×D7912yes—
486C24C23×D7911yescharacteristic
487C22×C4—24no—
488C22×C4—232no—
489C22×C4—28no—
490C22×C4—28no—
491C22×C4—791no—
492C22×C4—791no—
493C22×C4—794no—
494C22×C4—798no—
495C22×C4—7964no—
496C22×C4—794no—
497C22×C4—794no—
498C22×C4—794no—
499C22×C4—794no—
500C22×C4—798no—
501C22×C4—798no—
502C22×C4—798no—
503C22×C4—798no—
504C22×C4—792no—
505C22×C4—798no—
506C22×C4—798no—
507C22×C4—794no—
508C22×C4—798no—
509C22×C4—798no—
510C22×C4—798no—
511C22×C4—798no—
512C22×C4—798no—
513C22×C4—798no—
514C22×C4—798no—
515C22×C4—15816no—
516C22×C4—15832no—
517C22×C4—15832no—
518C22×C4—1588no—
519C22×C4—1588no—
520C22×C4—15864no—
521C22×C4—15864no—
522C22×C4—15864no—
523C22×C4—15864no—
524C22×C4—15832no—
525C22×C4—1588no—
526C22×C4—1588no—
527C22×C4—15832no—
528C22×C4—1588no—
529C22×C4—1588no—
530C22×C4—1584no—
531C22×C4—15832no—
532C22×C4—1588no—
533C22×C4—1588no—
534C22×C4C2×C4×D7914yes—
535C22×C4C2×C4×D7918yes—
536C22×C4C2×C4×D7918yes—
537C22×C4C2×C4×D7914yes—
538C22×C4D4×D7918yes—
539C22×C4C23×D7918yes—
540C22×C4C23×D7912yes—
541C22×C4C23×D7911yescharacteristic
542C22×C4C23×D7911yescharacteristic
543C4⋊C4—28no—
544C4⋊C4—15816no—
545C4⋊C4—1588no—
546C22⋊C4—216no—
547C22⋊C4—28no—
548C22⋊C4—15832no—
549C22⋊C4—15816no—
550C22⋊C4—15816no—
551C22⋊C4—1588no—
552C42—28no—
553C42—15816no—
554C42—1588no—
555C23—232no—
556C23—28no—
557C23—216no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—792no—
562C23—794no—
563C23—798no—
564C23—7916no—
565C23—7932no—
566C23—792no—
567C23—794no—
568C23—794no—
569C23—798no—
570C23—15816no—
571C23—15816no—
572C23—15816no—
573C23—15816no—
574C23—15816no—
575C23—15816no—
576C23—15864no—
577C23—15832no—
578C23—158256no—
579C23—15864no—
580C23—15832no—
581C23—1588no—
582C23—15816no—
583C23—1584no—
584C23—1584no—
585C23—1584no—
586C23C22×C4×D7912yes—
587C23C22×C4×D7914yes—
588C23C2×D4×D7914yes—
589C23#41×D7918yes—
590C23C24×D7911yescharacteristic
591C2×C4—28no—
592C2×C4—24no—
593C2×C4—216no—
594C2×C4—216no—
595C2×C4—28no—
596C2×C4—216no—
597C2×C4—31632no—
598C2×C4—7916no—
599C2×C4—792no—
600C2×C4—792no—
601C2×C4—794no—
602C2×C4—794no—
603C2×C4—7916no—
604C2×C4—7916no—
605C2×C4—7916no—
606C2×C4—7916no—
607C2×C4—794no—
608C2×C4—15816no—
609C2×C4—15816no—
610C2×C4—15816no—
611C2×C4—15816no—
612C2×C4—1588no—
613C2×C4—15816no—
614C2×C4—15816no—
615C2×C4—15816no—
616C2×C4—1588no—
617C2×C4—1584no—
618C2×C4—15816no—
619C2×C4—15816no—
620C2×C4C22⋊C4×D79116yescomplemented
621C2×C4C22×C4×D7914yes—
622C2×C4C22×C4×D7912yes—
623C2×C4C22×C4×D7912yes—
624C2×C4C2×D4×D7914yes—
625C2×C4C2×D4×D7914yes—
626C22—232no—
627C22—24no—
628C22—24no—
629C22—24no—
630C22—216no—
631C22—28no—
632C22—794no—
633C22—798no—
634C22—7916no—
635C22—794no—
636C22—798no—
637C22—15832no—
638C22—15864no—
639C22—15832no—
640C22—15864no—
641C22—1584no—
642C22—1584no—
643C22—1584no—
644C22—1588no—
645C22—15816no—
646C22C2×C22⋊C4×D7914yes—
647C22#117×D7918yescomplemented
648C22C23×C4×D7911yescharacteristic
649C22C22×D4×D7912yes—
650C22C2×#41×D7914yes—
651C4—24no—
652C4—48no—
653C4—3168no—
654C4—794no—
655C4—794no—
656C4—1584no—
657C4C2×C22⋊C4×D7914yes—
658C4C2×C22⋊C4×D7914yes—
659C2—24no—
660C2—28no—
661C2—798no—
662C2—1584no—
663C2—1588no—
664C2C22×C22⋊C4×D7911yescharacteristic
665C2C2×#117×D7912yes—
666C2#525×D7914yes—
subgroupG/H
centerC22×C4C23×D79
commutatorC22×C79C24×C4
FrattiniC23C24×D79
FittingC79×#2280C2
socle, cosocleC23×C79C25
prime radicalC25×D79C22
hypercenter#2280D79
hypocenterC79C2×#2280
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22×C4 ◁ #2280

Complements

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

NH ≅ G/Ntype
2. C2×#117×D79C2semidirect
3. #23765783C2semidirect
4. #23765782C2semidirect
5. #23765781C2semidirect
6. #23765780C2semidirect
7. #23765779C2semidirect
8. #23765778C2semidirect
9. #381×D79C2semidirect
10. #380×D79C2semidirect
12. C4×C22⋊C4×D79C2semidirect
13. C79×#2280C2semidirect
17. C23×C4×D79C4semidirect
26. C2×#14579120C22semidirect
27. C2×#14579119C22semidirect
28. C2×#14579118C22semidirect
29. C2×#14579117C22semidirect
31. C2×C4⋊C4×D79C22semidirect
34. C2×C42×D79C22semidirect
35. #19098426C22semidirect
36. #19098425C22semidirect
37. #19098424C22semidirect
38. #19098423C22semidirect
39. #19098422C22semidirect
40. #19098421C22semidirect
41. #19098420C22semidirect
45. C22⋊C4×Dic79C22semidirect
46. C4×(C2×D79)⋊C4C22semidirect
47. C4×C22⋊Dic79C22semidirect
48. #19098410C22semidirect
49. #95×D79C22semidirect
51. C2×#117×C79C22semidirect
52. #381×C79C22semidirect
53. #380×C79C22semidirect
55. C4×C22⋊C4×C79C22semidirect
64. C23×Dic79C2×C4semidirect
81. C22×C4×D79C2×C4semidirect
82. C22×C4×D79C2×C4semidirect
83. C22×C4×D79C2×C4semidirect
84. C22×C4×D79C2×C4semidirect
101. C2×C4⋊Dic79C23semidirect
102. C2×Dic79⋊C4C23semidirect
110. C2×C4×Dic79C23semidirect
111. C2×C4×Dic79C23semidirect
113. C79⋊#95C23semidirect
114. C79⋊#95C23semidirect
117. C23×C4×C79C2×C4semidirect
123. C2×C4⋊C4×C79C23semidirect
126. C2×C42×C79C23semidirect
127. #95×C79C23semidirect
176. C2×C4×D79C22⋊C4semidirect
249. C22×D79#117semidirect
263. C2×C4×C79C2×C22⋊C4semidirect
275. C2×Dic79C2×C22⋊C4semidirect
290. C4×D79C2×C22⋊C4semidirect
291. C4×D79C2×C22⋊C4semidirect
299. C22×C79C2×#117semidirect
315. C2×D79C2×#117semidirect
333. D79#2280direct (N × H)
342. #2280D79direct (N × H)
347. C79C2×#2280semidirect
366. C2×#117C2×D79semidirect
374. #381C2×D79semidirect
379. #380C2×D79semidirect
388. C4×C22⋊C4C2×D79semidirect
433. C23×C4C4×D79semidirect
446. C2×C4⋊C4C22×D79semidirect
458. C2×C42C22×D79semidirect
461. #95C22×D79semidirect
620. C2×C4C22⋊C4×D79semidirect
647. C22#117×D79semidirect

Maximal subgroups

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

subgroupindex
C24×C4×D792
C2×#117×D792
#237657832
#237657822
#237657812
#237657802
#237657792
#237657782
#381×D792
#380×D792
#379×D792
C4×C22⋊C4×D792
C79×#22802
C2×#228079