Finite Group Databasebeta

← #35197355

Subgroups — #35197355

Order 20224.

6846 conjugacy classes of subgroups.

The subgroup lattice has 1470 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777507C214yesmaximal, complemented
2#23777499C214yesmaximal, complemented
3#23777492C214yesmaximal, complemented
4#23777488C214yesmaximal, complemented
5#23777413C214yesmaximal, complemented
6#23777409C214yesmaximal, complemented
7#23777391C214yesmaximal, complemented
8#23777383C214yesmaximal, complemented
9#23777264C212yesmaximal, complemented
10#23777256C214yesmaximal, complemented
11#23777208C211yesmaximal, characteristic, complemented
12#23777169C211yesmaximal, characteristic, complemented
13#23777121C211yesmaximal, characteristic, complemented
14#23777119C211yesmaximal, characteristic, complemented
15#23777112C214yesmaximal, complemented
16#23777049C212yesmaximal, complemented
17#23776833C211yesmaximal, characteristic, complemented
18#23776830C214yesmaximal, complemented
19#23776786C214yesmaximal, complemented
20#23776785C212yesmaximal, complemented
21C4×#14579208C212yesmaximal, complemented
22C2×#19099039C211yesmaximal, characteristic, complemented
23C79×#3461C211yesmaximal, characteristic, complemented
24C2×#14579208C2212yes—
25C22×Q8×D79C2211yescharacteristic
26#19099296C2214yescomplemented
27#19099295C2214yescomplemented
28#19099295C2214yescomplemented
29#19099293C2214yescomplemented
30#19099290C2214yescomplemented
31#19099290C2214yescomplemented
32#19099290C2214yescomplemented
33#19099289C2214yescomplemented
34#19099288C2214yescomplemented
35#19099288C2214yescomplemented
36#19099287C2214yes—
37#19099287C2214yescomplemented
38#19099285C2218yes—
39#19099285C2214yescomplemented
40#19099284C2214yes—
41#19099284C2214yescomplemented
42#19099282C2214yescomplemented
43#19099282C2214yescomplemented
44#19099281C2218yescomplemented
45#19099280C2218yes—
46#19099280C2218yescomplemented
47#19099279C2214yes—
48#19099277C2214yes—
49#19099276C2218yes—
50#19099275C2218yes—
51#19099272C2214yescomplemented
52#19099271C2214yescomplemented
53#19099269C2214yescomplemented
54#19099266C2214yes—
55#19099265C2214yes—
56#19099264C2218yes—
57#19099262C2218yes—
58#19099255C2214yes—
59#19099255C2214yescomplemented
60#19099251C2214yes—
61#19099249C2218yescomplemented
62#19099247C2214yescomplemented
63#19099246C2218yes—
64#19099246C2218yescomplemented
65#19099245C2218yes—
66#19099231C2214yescomplemented
67#19099228C2214yes—
68#19099228C2214yes—
69#19099226C2214yes—
70#19099226C2214yes—
71#19099226C2214yescomplemented
72#19099223C2214yes—
73#19099223C2214yes—
74#19099223C2214yescomplemented
75#19099221C2214yes—
76#19099221C2214yes—
77#19099219C2214yescomplemented
78#19099194C2211yescharacteristic
79#19099192C2214yes—
80#19099185C2212yes—
81#19099185C2212yes—
82#19099185C2214yescomplemented
83#19099183C2218yes—
84#19099183C2218yescomplemented
85#19099181C2218yescomplemented
86#19099179C2218yes—
87#19099178C2212yes—
88#19099178C2212yes—
89#19099172C2218yes—
90#19099172C2218yescomplemented
91#19099171C2212yes—
92#19099171C2212yes—
93#19099171C2214yescomplemented
94#19099170C2218yescomplemented
95#19099165C2218yes—
96#19099164C2212yes—
97#19099164C2212yes—
98#19099160C2214yes—
99#19099157C2218yes—
100#19099155C2214yes—
101#19099155C2214yes—
102#19099153C2214yes—
103#19099150C2214yes—
104#19099146C2214yes—
105#19099146C2214yes—
106#19099144C2211yescharacteristic
107#19099140C2214yes—
108#19099137C2212yes—
109#19099135C2218yes—
110#19099119C2218yescomplemented
111#19099117C2214yescomplemented
112#19099116C2212yes—
113#19099115C2214yes—
114#19099115C2218yescomplemented
115#19099109C2212yes—
116#19099108C2214yes—
117#19099100C2214yescomplemented
118#19099099C2218yes—
119#19099099C2214yes—
120#19099098C2218yes—
121#19099097C2214yes—
122#19099097C2214yes—
123#19099097C2214yes—
124#19099096C2218yes—
125#19099096C2218yescomplemented
126#19099094C2214yes—
127#19099091C2214yes—
128#19099091C2214yes—
129#19099090C2218yes—
130#19099090C2218yes—
131#19099090C2218yescomplemented
132#19099075C2212yes—
133#19099071C2218yes—
134#19099070C2212yes—
135#19099046C2212yes—
136#19099043C2212yes—
137#19099043C2214yescomplemented
138#19099042C2218yes—
139#19099042C2214yescomplemented
140#19099040C2212yes—
141#19099040C2214yescomplemented
142#19099039C2214yes—
143#19099039C2214yes—
144#19099039C2214yes—
145#19099039C2214yes—
146#19099039C2214yescomplemented
147C4×#11929624C2212yes—
148C4×#11929624C2214yescomplemented
149C4×#11929623C2218yes—
150C4×#11929623C2214yescomplemented
151C2×Q8×Dic79C2211yescharacteristic
152C2×C4×Dic158C2211yescharacteristic
153C2×C4×Dic158C2212yes—
154C2×C4×Dic158C2214yescomplemented
155C2×#14579126C2212yes—
156C2×#14579126C2211yescharacteristic
157C4×Q8×D79C2214yescomplemented
158C2×#14579119C2212yes—
159C2×#14579119C2211yescharacteristic
160C2×#14579118C2211yescharacteristic
161C2×#14579118C2212yes—
162#544×C79C2211yescharacteristic
163#542×C79C2214yescomplemented
164#541×C79C2214yescomplemented
165#539×C79C2214yes—
166#537×C79C2211yescharacteristic
167#536×C79C2212yes—
168#533×C79C2214yescomplemented
169#529×C79C2214yes—
170#529×C79C2214yescomplemented
171C4×#41×C79C2212yes—
172C2×C4×Q8×C79C2211yescharacteristic
173#14579208—216no—
174C2×#11929624C2312yes—
175C2×#11929624C2314yes—
176C2×#11929623C2318yes—
177C2×#11929623C2314yes—
178C22×Dic158C2314yes—
179C22×Dic158C2312yes—
180C22×Dic158C2311yescharacteristic
181C2×Q8×D79—28no—
182C2×Q8×D79C2314yes—
183C2×Q8×D79C2314yes—
184C2×Q8×D79C2314yes—
185C22×C4×D79C2311yescharacteristic
186C22×C4×D79C2312yes—
187#14579160C2318yes—
188#14579160C2314yes—
189#14579160C2318yes—
190#14579160C2312yes—
191#14579160C2312yes—
192#14579160C2314yes—
193#14579160C2318yes—
194#14579160C2314yes—
195#14579159C2314yes—
196#14579159C2312yes—
197#14579159C2314yes—
198#14579159C2318yes—
199#14579157C2312yes—
200#14579157C2314yes—
201#14579156C2314yes—
202#14579156C2314yes—
203#14579156C2318yes—
204#14579156C2318yes—
205#14579156C2318yes—
206#14579156C2318yes—
207#14579156C2318yes—
208#14579156C2318yes—
209#14579155C2314yes—
210#14579155C2314yes—
211#14579155C2314yes—
212#14579155C2314yes—
213#14579155C2318yes—
214#14579154C2314yes—
215#14579154C2314yes—
216#14579154C2318yes—
217#14579154C2318yes—
218#14579154C2318yes—
219#14579153C2314yes—
220#14579153C2314yes—
221#14579153C2314yes—
222#14579152C2318yes—
223#14579152C2312yes—
224#14579152C2312yes—
225#14579152C2314yes—
226#14579152C2314yes—
227#14579152C2314yes—
228#14579151C2314yes—
229#14579151C2314yes—
230#14579151C2318yes—
231#14579151C2318yes—
232#14579151C2318yes—
233#14579151C2318yes—
234#14579151C2318yes—
235#14579151C2318yes—
236#14579150C2314yes—
237#14579150C2318yes—
238#14579150C2314yes—
239#14579150C2312yes—
240#14579149C2314yes—
241#14579149C2314yes—
242#14579149C2314yes—
243#14579148C2312yes—
244#14579148C2314yes—
245#14579147C2314yes—
246#14579147C2314yes—
247#14579147C2318yes—
248#14579147C2318yes—
249#14579147C2318yes—
250#14579147C2318yes—
251#14579147C2318yes—
252#14579146C2314yes—
253#14579146C2314yes—
254#14579146C2318yes—
255#14579146C2318yes—
256#14579145C2318yes—
257#14579145C2314yes—
258#14579145C2318yes—
259#14579144C2318yes—
260#14579144C2314yes—
261#14579144C2314yes—
262#14579144C2314yes—
263#14579144C2314yes—
264#14579143C2314yes—
265#14579143C2314yes—
266#14579143C2318yes—
267#14579142C2314yes—
268#14579141C2314yes—
269#14579141C2318yes—
270#14579141C2312yes—
271#14579141C2312yes—
272#14579140C2314yes—
273#14579140C2314yes—
274#14579140C2314yes—
275#14579139C2318yes—
276#14579139C2314yes—
277#14579139C2314yes—
278#14579139C2318yes—
279#14579139C2318yes—
280#14579139C2318yes—
281#14579139C2318yes—
282#14579139C2318yes—
283#14579138C2318yes—
284#14579138C2314yes—
285#14579138C2314yes—
286#14579138C2318yes—
287#14579138C2318yes—
288#14579138C2318yes—
289#14579137C2314yes—
290#14579137C2314yes—
291#14579137C2312yes—
292#14579137C2312yes—
293#14579136C2314yes—
294#14579136C2318yes—
295#14579136C2312yes—
296#14579136C2312yes—
297#14579135C2314yes—
298#14579135C2314yes—
299#14579135C2314yes—
300#14579134C2318yes—
301#14579134C2314yes—
302#14579134C2314yes—
303#14579134C2318yes—
304#14579134C2318yes—
305#14579133C2314yes—
306#14579133C2318yes—
307#14579133C2314yes—
308#14579133C2318yes—
309#14579132C2312yes—
310#14579132C2312yes—
311#14579131C2314yes—
312#14579129C2314yes—
313Q8×Dic79C2314yes—
314Q8×Dic79C2314yes—
315Q8×Dic79C2314yes—
316Q8×Dic79C2314yes—
317Q8×Dic79C2314yes—
318C4×Dic158C2318yes—
319C4×Dic158C2312yes—
320C4×Dic158C2312yes—
321C4×Dic158C2314yes—
322C4×Dic158C2314yes—
323C4×Dic158C2318yes—
324C4×Dic158C2314yes—
325C4×Dic158C2314yes—
326C4×Dic158C2314yes—
327C4×Dic158C2314yes—
328C4×Dic158C2314yes—
329C4×Dic158C2314yes—
330C4×Dic158C2314yes—
331C4×Dic158C2314yes—
332C4×Dic158C2314yes—
333C4×Dic158C2314yes—
334#14579126C2318yes—
335#14579126C2318yes—
336#14579126C2318yes—
337#14579126C2314yes—
338#14579126C2314yes—
339#14579126C2314yes—
340#14579126C2314yes—
341#14579126C2318yes—
342#14579126C2318yes—
343#14579126C2318yes—
344#14579126C2314yes—
345#14579126C2314yes—
346C4×D316C2312yes—
347C4×D316C2312yes—
348C4×D316C2314yes—
349C4×D316C2314yes—
350C4×D316C2314yes—
351C4×D316C2314yes—
352D4×Dic79C2318yes—
353D4×Dic79C2314yes—
354D4×Dic79C2314yes—
355D4×Dic79C2314yes—
356#14579123C2318yes—
357#14579123C2318yes—
358#14579123C2314yes—
359#14579123C2314yes—
360C4×C22⋊D79C2314yes—
361C4×C22⋊D79C2314yes—
362C4×C22⋊D79C2318yes—
363C4×C22⋊D79C2314yes—
364C4×C22⋊D79C2314yes—
365C4×C22⋊D79C2314yes—
366C4×C22⋊D79C2314yes—
367C4×C22⋊D79C2318yes—
368(C22⋊D79)⋊C4C2318yes—
369(C22⋊D79)⋊C4C2318yes—
370(C22⋊D79)⋊C4C2318yes—
371(C22⋊D79)⋊C4C2318yes—
372(C22⋊D79)⋊C4C2318yes—
373(C22⋊D79)⋊C4C2318yes—
374(C22⋊D79)⋊C4C2318yes—
375#14579120C2312yes—
376#14579120C2314yes—
377#14579119C2318yes—
378#14579119C2318yes—
379#14579119C2318yes—
380#14579119C2318yes—
381#14579119C2318yes—
382#14579119C2314yes—
383#14579119C2314yes—
384#14579119C2314yes—
385#14579118C2312yes—
386#14579118C2312yes—
387#14579118C2314yes—
388#14579118C2312yes—
389#14579118C2312yes—
390#14579118C2318yes—
391#14579118C2318yes—
392#14579118C2318yes—
393#14579118C2318yes—
394#14579117C2318yes—
395#14579117C2318yes—
396#14579117C2318yes—
397#14579117C2318yes—
398#14579117C2318yes—
399C2×C4⋊Dic79C2312yes—
400C2×C4⋊Dic79C2314yes—
401C2×C4⋊Dic79C2311yescharacteristic
402C2×Dic79⋊C4C2312yes—
403C2×Dic79⋊C4C2311yescharacteristic
404C2×Dic79⋊C4C2311yescharacteristic
405C2×Dic79⋊C4C2318yes—
406C2×Dic79⋊C4C2312yes—
407C4⋊C4×D79C2318yes—
408C4⋊C4×D79C2314yes—
409C2×(C2×D79)⋊C4C2311yescharacteristic
410C2×(C2×D79)⋊C4C2311yescharacteristic
411C2×(C2×D79)⋊C4C2312yes—
412C2×C4×Dic79C2312yes—
413C2×C4×Dic79C2311yescharacteristic
414C2×C4×Dic79C2312yes—
415C2×C4×Dic79C2312yes—
416C2×C4×Dic79C2312yes—
417C2×C4×Dic79C2318yes—
418C42×D79C2318yes—
419C42×D79C2314yes—
420C2×#41×C79C2312yes—
421C22×Q8×C79C2311yescharacteristic
422C4⋊Q8×C79C2314yes—
423C4⋊Q8×C79C2314yes—
424#126×C79C2318yes—
425#126×C79C2318yes—
426#125×C79C2318yes—
427#125×C79C2314yes—
428#125×C79C2314yes—
429#124×C79C2314yes—
430#124×C79C2314yes—
431#123×C79C2318yes—
432#123×C79C2318yes—
433C22⋊Q8×C79C2314yes—
434C22⋊Q8×C79C2318yes—
435C22⋊Q8×C79C2314yes—
436C22⋊Q8×C79C2314yes—
437C22⋊Q8×C79C2314yes—
438#121×C79C2314yes—
439#121×C79C2314yes—
440C4×Q8×C79C2312yes—
441C4×Q8×C79C2312yes—
442C4×Q8×C79C2314yes—
443C4×Q8×C79C2314yes—
444C4×Q8×C79C2314yes—
445C4×D4×C79C2314yes—
446C4×D4×C79C2314yes—
447C4×D4×C79C2312yes—
448C4×D4×C79C2312yes—
449C4×D4×C79C2314yes—
450#117×C79C2312yes—
451#117×C79C2314yes—
452#117×C79C2318yes—
453C2×C4⋊C4×C79C2311yescharacteristic
454C2×C4⋊C4×C79C2312yes—
455C2×C42×C79C2311yescharacteristic
456C2×C42×C79C2312yes—
457C2×C42×C79C2314yes—
458C23×D79C2411yescharacteristic
459#11929624—216no—
460#11929624—28no—
461#11929623—232no—
462#11929623—216no—
463C2×Dic158—28no—
464C2×Dic158—216no—
465C2×Dic158#4118yes—
466C2×Dic158C2414yes—
467C2×Dic158C2414yes—
468C2×Dic158C2418yes—
469C2×Dic158C2412yes—
470C2×Dic158C2414yes—
471C2×Dic158C2414yes—
472C2×Dic158C2414yes—
473C2×Dic158C2414yes—
474Q8×D79—216no—
475Q8×D79—216no—
476Q8×D79—216no—
477C2×D316C2412yes—
478C2×D316C2414yes—
479C2×D316C2414yes—
480C2×D316C2414yes—
481C2×C22⋊D79C2414yes—
482C2×C22⋊D79C2418yes—
483C2×C22⋊D79C2414yes—
484C2×C22⋊D79C2414yes—
485C2×C22⋊D79C2414yes—
486C2×C22⋊D79C2414yes—
487C22×Dic79C2411yescharacteristic
488C22×Dic79C2418yes—
489C22×Dic79C2411yescharacteristic
490C22×Dic79C2412yes—
491C22×Dic79C2411yescharacteristic
492C22×Dic79C2418yes—
493C22×Dic79C2412yes—
494C2×C4×D79—28no—
495C2×C4×D79—24no—
496C2×C4×D79C2418yes—
497C2×C4×D79C2412yes—
498C2×C4×D79C2412yes—
499C2×C4×D79C2418yes—
500C2×C4×D79C2414yes—
501C2×C4×D79C2414yes—
502C2×C4×D79C2414yes—
503C2×C4×D79C2418yes—
504C4⋊Dic79C2414yes—
505C4⋊Dic79C2418yes—
506C4⋊Dic79C2412yes—
507C4⋊Dic79C2414yes—
508C4⋊Dic79C2414yes—
509C4⋊Dic79C2414yes—
510C4⋊Dic79C2414yes—
511C4⋊Dic79C2412yes—
512C4⋊Dic79C2414yes—
513C4⋊Dic79C2414yes—
514C4⋊Dic79C2414yes—
515C4⋊Dic79C2414yes—
516Dic79⋊C4C2414yes—
517Dic79⋊C4C2418yes—
518Dic79⋊C4C2418yes—
519Dic79⋊C4C2414yes—
520Dic79⋊C4C2414yes—
521Dic79⋊C4C2418yes—
522Dic79⋊C4C2412yes—
523Dic79⋊C4C2412yes—
524Dic79⋊C4C2411yescharacteristic
525Dic79⋊C4C2411yescharacteristic
526Dic79⋊C4C2411yescharacteristic
527Dic79⋊C4C2411yescharacteristic
528Dic79⋊C4C2418yes—
529Dic79⋊C4C2414yes—
530Dic79⋊C4C2414yes—
531Dic79⋊C4C2414yes—
532Dic79⋊C4C2418yes—
533Dic79⋊C4C2418yes—
534Dic79⋊C4C2414yes—
535Dic79⋊C4C2414yes—
536Dic79⋊C4C2418yes—
537Dic79⋊C4C2414yes—
538Dic79⋊C4C2414yes—
539Dic79⋊C4C2414yes—
540Dic79⋊C4C2414yes—
541C22⋊Dic79C2414yes—
542C22⋊Dic79C2418yes—
543C22⋊Dic79C2414yes—
544C22⋊Dic79C2414yes—
545C22⋊Dic79C2414yes—
546C22⋊Dic79C2414yes—
547(C2×D79)⋊C4C2412yes—
548(C2×D79)⋊C4C2412yes—
549(C2×D79)⋊C4C2418yes—
550(C2×D79)⋊C4C2412yes—
551(C2×D79)⋊C4C2412yes—
552(C2×D79)⋊C4C2414yes—
553(C2×D79)⋊C4C2414yes—
554(C2×D79)⋊C4C2418yes—
555(C2×D79)⋊C4C2418yes—
556(C2×D79)⋊C4C2418yes—
557(C2×D79)⋊C4C2414yes—
558(C2×D79)⋊C4C2414yes—
559(C2×D79)⋊C4C2414yes—
560(C2×D79)⋊C4C2414yes—
561(C2×D79)⋊C4C2418yes—
562(C2×D79)⋊C4C2414yes—
563(C2×D79)⋊C4C2414yes—
564(C2×D79)⋊C4C2414yes—
565(C2×D79)⋊C4C2414yes—
566C4×Dic79C2418yes—
567C4×Dic79C2414yes—
568C4×Dic79C2414yes—
569C4×Dic79C2418yes—
570C4×Dic79C2418yes—
571C4×Dic79C2414yes—
572C4×Dic79C2418yes—
573C4×Dic79C2414yes—
574C4×Dic79C2418yes—
575C4×Dic79C2418yes—
576C4×Dic79C2412yes—
577C4×Dic79C2412yes—
578C4×Dic79C2414yes—
579C4×Dic79C2414yes—
580C4×Dic79C2414yes—
581#41×C79—28no—
582C2×Q8×C79—24no—
583C2×Q8×C79C2414yes—
584C2×Q8×C79C2412yes—
585C2×Q8×C79C2414yes—
586C2×D4×C79C2414yes—
587C2×D4×C79C2412yes—
588C2×D4×C79C2414yes—
589C22×C4×C79C2414yes—
590C22×C4×C79C2412yes—
591C22×C4×C79C2411yescharacteristic
592C22×C4×C79C2411yescharacteristic
593C22×C4×C79C2412yes—
594C22×C4×C79C2414yes—
595C22×C4×C79C2414yes—
596C22×C4×C79C2411yescharacteristic
597C4⋊C4×C79C2414yes—
598C4⋊C4×C79C2418yes—
599C4⋊C4×C79C2412yes—
600C4⋊C4×C79C2414yes—
601C4⋊C4×C79C2412yes—
602C4⋊C4×C79C2414yes—
603C4⋊C4×C79C2418yes—
604C4⋊C4×C79C2418yes—
605C4⋊C4×C79C2414yes—
606C4⋊C4×C79C2414yes—
607C4⋊C4×C79C2418yes—
608C22⋊C4×C79C2414yes—
609C22⋊C4×C79C2414yes—
610C22⋊C4×C79C2414yes—
611C22⋊C4×C79C2418yes—
612C22⋊C4×C79C2418yes—
613C22⋊C4×C79C2418yes—
614C42×C79C2412yes—
615C42×C79C2412yes—
616C42×C79C2414yes—
617C42×C79C2414yes—
618C42×C79C2414yes—
619C42×C79C2414yes—
620C42×C79C2414yes—
621C23×C79C2514yes—
622C23×C79C2511yescharacteristic
623C22×D79—22no—
624C22×D79—41no—
625C22×D79—41no—
626C22×D79C2512yes—
627C22×D79C2514yes—
628Q8×C79—28no—
629Q8×C79—24no—
630Q8×C79—44no—
631D4×C79—28no—
632D4×C79—24no—
633D4×C79—44no—
634C2×C4×C79—24no—
635C2×C4×C79—28no—
636C2×C4×C79—44no—
637C2×C4×C79—41no—
638C2×C4×C79—41no—
639C2×C4×C79—44no—
640C2×C4×C79—42no—
641C2×C4×C79C2×#4114yes—
642C2×C4×C79C2512yes—
643C2×C4×C79C2514yes—
644C2×C4×C79C2514yes—
645C2×C4×C79C2511yescharacteristic
646C2×C4×C79C2514yes—
647C2×C4×C79C2514yes—
648C2×C4×C79C2514yes—
649C2×C4×C79C2511yescharacteristic
650C2×C4×C79C2512yes—
651C22⋊D79—28no—
652C22⋊D79—216no—
653C22⋊D79—44no—
654C22⋊D79—44no—
655C22⋊D79—44no—
656C22⋊D79—44no—
657C2×Dic79—22no—
658C2×Dic79—216no—
659C2×Dic79—41no—
660C2×Dic79—41no—
661C2×Dic79—48no—
662C2×Dic79—42no—
663C2×Dic79C2×#4118yes—
664C2×Dic79C2514yes—
665C2×Dic79C2511yescharacteristic
666C2×Dic79C2514yes—
667C2×Dic79C2512yes—
668C2×Dic79C2511yescharacteristic
669C2×Dic79C2511yescharacteristic
670C2×Dic79C2511yescharacteristic
671C2×Dic79C2514yes—
672C2×Dic79C2514yes—
673C2×Dic79C2514yes—
674D316—24no—
675D316—44no—
676D316—44no—
677D316—44no—
678C4×D79—24no—
679C4×D79—24no—
680C4×D79—28no—
681C4×D79—216no—
682C4×D79—216no—
683C4×D79—44no—
684C4×D79—44no—
685C4×D79—48no—
686Dic158—24no—
687Dic158—28no—
688Dic158—28no—
689Dic158—216no—
690Dic158—44no—
691Dic158—44no—
692Dic158—44no—
693Dic158C2×#41116yes—
694C22×C79—21no—
695C22×C79—21no—
696C22×C79—24no—
697C22×C79—24no—
698C22×C79—24no—
699C22×C79C22×#4112yes—
700C22×C79C2611yescharacteristic
701C2×D79—24no—
702C2×D79—22no—
703C2×D79—22no—
704C2×D79—22no—
705C2×D79—24no—
706C2×D79—24no—
707C2×D79—44no—
708C4×C79—24no—
709C4×C79—24no—
710C4×C79—21no—
711C4×C79—22no—
712C4×C79—24no—
713C4×C79—24no—
714C4×C79—24no—
715C4×C79—21no—
716C4×C79C22×#4114yes—
717Dic79—24no—
718Dic79—21no—
719Dic79—21no—
720Dic79—21no—
721Dic79—22no—
722Dic79—24no—
723Dic79—24no—
724Dic79—21no—
725Dic79—24no—
726Dic79C22×#4118yes—
727#62850—791nomaximal, Sylow
728C2×C79—22no—
729C2×C79—44no—
730C2×C79C23×#4111yescharacteristic
731C2×C792−1+611yescharacteristic
732C2×C792−1+611yescharacteristic
733D79—44no—
734D79—42no—
735#3524—794no—
736#3524—794no—
737#3523—794no—
738#3523—794no—
739#3518—794no—
740#3518—794no—
741#3516—794no—
742#3516—794no—
743#3507—792no—
744#3507—794no—
745#3502—791no—
746#3497—791no—
747#3493—791no—
748#3493—791no—
749#3493—794no—
750#3486—792no—
751#3461—794no—
752#3461—791no—
753#3461D7911yescharacteristic, complemented
754#3455—794no—
755#3455—792no—
756C4×2−1+4—792no—
757C2×#519—791no—
758C79#6285011yescharacteristic, complemented, Sylow
759C2×2−1+4—792no—
760C23×Q8—791no—
761#559—794no—
762#559—794no—
763#559—794no—
764Q82—794no—
765#557—794no—
766#557—794no—
767#557—794no—
768#557—794no—
769#557—794no—
770#557—794no—
771#556—794no—
772#556—794no—
773#556—798no—
774#556—798no—
775#556—794no—
776#556—794no—
777#556—794no—
778#556—794no—
779#556—798no—
780#556—794no—
781#556—798no—
782#555—794no—
783#555—798no—
784#555—794no—
785#555—798no—
786#554—794no—
787#554—794no—
788#554—794no—
789#553—798no—
790#553—794no—
791#553—794no—
792#553—798no—
793#552—798no—
794#552—798no—
795#552—794no—
796#552—794no—
797#552—794no—
798#552—794no—
799#552—798no—
800#552—798no—
801#550—794no—
802D4×Q8—794no—
803D4×Q8—794no—
804D4×Q8—794no—
805D4×Q8—794no—
806D4×Q8—794no—
807#548—794no—
808#548—794no—
809#548—794no—
810#548—794no—
811#548—794no—
812#548—794no—
813#544—794no—
814#544—791no—
815#544C2×D7911yescharacteristic
816#542—798no—
817#542—798no—
818#542—798no—
819#542—798no—
820#542—792no—
821#542—792no—
822#542—794no—
823#542—792no—
824#542—792no—
825#542C2×D7914yescomplemented
826#541—798no—
827#541—798no—
828#541—798no—
829#541—792no—
830#541—792no—
831#541—794no—
832#541C2×D7914yescomplemented
833#540—798no—
834#540—792no—
835#540—792no—
836#539—798no—
837#539—794no—
838#539—794no—
839#539—794no—
840#539C2×D7914yes—
841#538—794no—
842#538—794no—
843#538—794no—
844#538—794no—
845#537—794no—
846#537—791no—
847#537C2×D7911yescharacteristic
848#536—792no—
849#536—798no—
850#536C2×D7912yes—
851#533—798no—
852#533—794no—
853#533—798no—
854#533—794no—
855#533—792no—
856#533C2×D7914yescomplemented
857#532—792no—
858#532—794no—
859#529—798no—
860#529—798no—
861#529—798no—
862#529—798no—
863#529—798no—
864#529—798no—
865#529—798no—
866#529—794no—
867#529—794no—
868#529—794no—
869#529—794no—
870#529—794no—
871#529—794no—
872#529—794no—
873#529—794no—
874#529C2×D7914yes—
875#529C2×D7914yescomplemented
876#525—792no—
877#525—798no—
878#525—792no—
879#520—792no—
880#520—798no—
881#520—794no—
882#520—792no—
883#520—794no—
884#519—794no—
885#519—794no—
886#519—794no—
887#519—794no—
888#519—794no—
889#519—792no—
890#519—794no—
891C4×#41—798no—
892C4×#41—794no—
893C4×#41—792no—
894C4×#41—794no—
895C4×#41C2×D7912yes—
896C2×C4×Q8—791no—
897C2×C4×Q8—794no—
898C2×C4×Q8—792no—
899C2×C4×Q8—791no—
900C2×C4×Q8—791no—
901C2×C4×Q8—792no—
902C2×C4×Q8—794no—
903C2×C4×Q8C2×D7911yescharacteristic
904C2×#117—792no—
905C2×#117—791no—
906C2×#117—791no—
907C2×#117—792no—
9082−1+4—15816no—
909C2×#41—798no—
910C2×#41—794no—
911C2×#41—792no—
912C2×#41—794no—
913C2×#41C22×D7912yes—
914C22×Q8—794no—
915C22×Q8—794no—
916C22×Q8—794no—
917C22×Q8—791no—
918C22×Q8—792no—
919C22×Q8—794no—
920C22×Q8—1588no—
921C22×Q8C22×D7911yescharacteristic
922C23×C4—792no—
923C23×C4—791no—
924C4⋊Q8—792no—
925C4⋊Q8—794no—
926C4⋊Q8—794no—
927C4⋊Q8—798no—
928C4⋊Q8—794no—
929C4⋊Q8—798no—
930C4⋊Q8—798no—
931C4⋊Q8—794no—
932C4⋊Q8—792no—
933C4⋊Q8—792no—
934C4⋊Q8—798no—
935C4⋊Q8—794no—
936C4⋊Q8C22×D7914yes—
937C4⋊Q8C22×D7914yes—
938#127—792no—
939#127—794no—
940#126—794no—
941#126—798no—
942#126—798no—
943#126—798no—
944#126—794no—
945#126—798no—
946#126—798no—
947#126—798no—
948#126—794no—
949#126—798no—
950#126—794no—
951#126—798no—
952#126—798no—
953#126—794no—
954#126—794no—
955#126—794no—
956#126—794no—
957#126—798no—
958#126C22×D7918yes—
959#126C22×D7918yes—
960#125—794no—
961#125—798no—
962#125—798no—
963#125—794no—
964#125—798no—
965#125—798no—
966#125—794no—
967#125—794no—
968#125—798no—
969#125—798no—
970#125—794no—
971#125—798no—
972#125—792no—
973#125—792no—
974#125—794no—
975#125—794no—
976#125—794no—
977#125C22×D7918yes—
978#125C22×D7914yes—
979#125C22×D7914yes—
980#124—794no—
981#124—798no—
982#124—794no—
983#124—792no—
984#124—794no—
985#124—792no—
986#124—794no—
987#124—798no—
988#124—798no—
989#124—798no—
990#124—794no—
991#124—798no—
992#124—798no—
993#124—794no—
994#124—794no—
995#124—794no—
996#124C22×D7914yes—
997#124C22×D7914yes—
998#123—794no—
999#123—798no—
1000#123—794no—
1001#123—794no—
1002#123—794no—
1003#123—794no—
1004#123—794no—
1005#123—798no—
1006#123—798no—
1007#123—794no—
1008#123—794no—
1009#123—794no—
1010#123—798no—
1011#123—798no—
1012#123—794no—
1013#123—798no—
1014#123C22×D7918yes—
1015#123C22×D7918yes—
1016C22⋊Q8—792no—
1017C22⋊Q8—792no—
1018C22⋊Q8—794no—
1019C22⋊Q8—794no—
1020C22⋊Q8—794no—
1021C22⋊Q8—794no—
1022C22⋊Q8—794no—
1023C22⋊Q8—798no—
1024C22⋊Q8—792no—
1025C22⋊Q8—798no—
1026C22⋊Q8—792no—
1027C22⋊Q8—794no—
1028C22⋊Q8—798no—
1029C22⋊Q8—798no—
1030C22⋊Q8—794no—
1031C22⋊Q8—798no—
1032C22⋊Q8—798no—
1033C22⋊Q8—798no—
1034C22⋊Q8—794no—
1035C22⋊Q8—794no—
1036C22⋊Q8—798no—
1037C22⋊Q8—798no—
1038C22⋊Q8—794no—
1039C22⋊Q8—798no—
1040C22⋊Q8—798no—
1041C22⋊Q8C22×D7914yes—
1042C22⋊Q8C22×D7918yes—
1043C22⋊Q8C22×D7914yes—
1044C22⋊Q8C22×D7914yes—
1045C22⋊Q8C22×D7914yes—
1046#121—792no—
1047#121—792no—
1048#121—794no—
1049#121—798no—
1050#121—798no—
1051#121—794no—
1052#121—794no—
1053#121—794no—
1054#121—794no—
1055#121—792no—
1056#121—792no—
1057#121—794no—
1058#121—798no—
1059#121—798no—
1060#121—798no—
1061#121—794no—
1062#121—798no—
1063#121—794no—
1064#121C22×D7914yes—
1065#121C22×D7914yes—
1066#120—794no—
1067#120—794no—
1068C4×Q8—794no—
1069C4×Q8—794no—
1070C4×Q8—794no—
1071C4×Q8—794no—
1072C4×Q8—794no—
1073C4×Q8—798no—
1074C4×Q8—798no—
1075C4×Q8—794no—
1076C4×Q8—794no—
1077C4×Q8—794no—
1078C4×Q8—798no—
1079C4×Q8—798no—
1080C4×Q8—794no—
1081C4×Q8—798no—
1082C4×Q8—794no—
1083C4×Q8—798no—
1084C4×Q8—794no—
1085C4×Q8—794no—
1086C4×Q8—794no—
1087C4×Q8—798no—
1088C4×Q8—792no—
1089C4×Q8—794no—
1090C4×Q8—794no—
1091C4×Q8—794no—
1092C4×Q8—794no—
1093C4×Q8—794no—
1094C4×Q8—794no—
1095C4×Q8—798no—
1096C4×Q8—792no—
1097C4×Q8—794no—
1098C4×Q8—794no—
1099C4×Q8—794no—
1100C4×Q8—794no—
1101C4×Q8C22×D7912yes—
1102C4×Q8C22×D7914yes—
1103C4×Q8C22×D7914yes—
1104C4×Q8C22×D7912yes—
1105C4×Q8C22×D7914yes—
1106C4×D4—798no—
1107C4×D4—794no—
1108C4×D4—794no—
1109C4×D4—794no—
1110C4×D4—794no—
1111C4×D4—798no—
1112C4×D4—794no—
1113C4×D4—798no—
1114C4×D4—794no—
1115C4×D4—794no—
1116C4×D4—794no—
1117C4×D4—794no—
1118C4×D4—798no—
1119C4×D4—798no—
1120C4×D4—794no—
1121C4×D4—794no—
1122C4×D4—798no—
1123C4×D4—798no—
1124C4×D4—798no—
1125C4×D4—798no—
1126C4×D4—798no—
1127C4×D4—798no—
1128C4×D4—798no—
1129C4×D4—792no—
1130C4×D4—792no—
1131C4×D4—794no—
1132C4×D4—794no—
1133C4×D4—794no—
1134C4×D4—794no—
1135C4×D4C22×D7914yes—
1136C4×D4C22×D7912yes—
1137C4×D4C22×D7914yes—
1138C4×D4C22×D7912yes—
1139C4×D4C22×D7914yes—
1140#117—792no—
1141#117—794no—
1142#117—798no—
1143#117—798no—
1144#117—794no—
1145#117—794no—
1146#117—798no—
1147#117—794no—
1148#117—798no—
1149#117—798no—
1150#117—798no—
1151#117—798no—
1152#117—798no—
1153#117—798no—
1154#117—798no—
1155#117—792no—
1156#117—792no—
1157#117—792no—
1158#117—792no—
1159#117—798no—
1160#117—798no—
1161#117—794no—
1162#117—798no—
1163#117—798no—
1164#117C22×D7912yes—
1165#117C22×D7914yes—
1166#117C22×D7918yes—
1167C2×C4⋊C4—792no—
1168C2×C4⋊C4—791no—
1169C2×C4⋊C4—792no—
1170C2×C4⋊C4—791no—
1171C2×C4⋊C4—791no—
1172C2×C4⋊C4—792no—
1173C2×C4⋊C4—798no—
1174C2×C4⋊C4—794no—
1175C2×C4⋊C4—798no—
1176C2×C4⋊C4—794no—
1177C2×C4⋊C4C22×D7911yescharacteristic
1178C2×C4⋊C4C22×D7912yes—
1179C2×C22⋊C4—791no—
1180C2×C22⋊C4—792no—
1181C2×C22⋊C4—791no—
1182C2×C42—792no—
1183C2×C42—792no—
1184C2×C42—792no—
1185C2×C42—791no—
1186C2×C42—792no—
1187C2×C42—798no—
1188C2×C42—798no—
1189C2×C42—794no—
1190C2×C42C22×D7911yescharacteristic
1191C2×C42C22×D7912yes—
1192C2×C42C22×D7914yes—
1193C24—791no—
1194#41—28no—
1195#41—15816no—
1196#41—15832no—
1197#41—15816no—
1198#41—1588no—
1199C2×Q8—24no—
1200C2×Q8—798no—
1201C2×Q8—794no—
1202C2×Q8—794no—
1203C2×Q8—794no—
1204C2×Q8—794no—
1205C2×Q8—794no—
1206C2×Q8—794no—
1207C2×Q8—798no—
1208C2×Q8—792no—
1209C2×Q8—1588no—
1210C2×Q8—15816no—
1211C2×Q8—15816no—
1212C2×Q8—15816no—
1213C2×Q8—15816no—
1214C2×Q8C23×D7914yes—
1215C2×Q8C23×D7912yes—
1216C2×Q8C23×D7914yes—
1217C2×D4—794no—
1218C2×D4—794no—
1219C2×D4—794no—
1220C2×D4—794no—
1221C2×D4—794no—
1222C2×D4—798no—
1223C2×D4—794no—
1224C2×D4—794no—
1225C2×D4—794no—
1226C2×D4—792no—
1227C2×D4C23×D7914yes—
1228C2×D4C23×D7912yes—
1229C2×D4C23×D7914yes—
1230C22×C4—792no—
1231C22×C4—791no—
1232C22×C4—791no—
1233C22×C4—798no—
1234C22×C4—794no—
1235C22×C4—798no—
1236C22×C4—794no—
1237C22×C4—792no—
1238C22×C4—791no—
1239C22×C4—798no—
1240C22×C4—798no—
1241C22×C4—794no—
1242C22×C4—798no—
1243C22×C4—792no—
1244C22×C4—792no—
1245C22×C4—1588no—
1246C22×C4—1584no—
1247C22×C4C23×D7912yes—
1248C22×C4C23×D7914yes—
1249C22×C4C23×D7911yescharacteristic
1250C22×C4C23×D7912yes—
1251C22×C4C23×D7914yes—
1252C22×C4C23×D7911yescharacteristic
1253C22×C4C23×D7914yes—
1254C22×C4C23×D7911yescharacteristic
1255C4⋊C4—794no—
1256C4⋊C4—794no—
1257C4⋊C4—798no—
1258C4⋊C4—798no—
1259C4⋊C4—794no—
1260C4⋊C4—798no—
1261C4⋊C4—791no—
1262C4⋊C4—791no—
1263C4⋊C4—792no—
1264C4⋊C4—792no—
1265C4⋊C4—791no—
1266C4⋊C4—791no—
1267C4⋊C4—798no—
1268C4⋊C4—794no—
1269C4⋊C4—794no—
1270C4⋊C4—798no—
1271C4⋊C4—798no—
1272C4⋊C4—794no—
1273C4⋊C4—794no—
1274C4⋊C4—794no—
1275C4⋊C4—794no—
1276C4⋊C4—794no—
1277C4⋊C4—798no—
1278C4⋊C4—794no—
1279C4⋊C4—794no—
1280C4⋊C4—794no—
1281C4⋊C4—792no—
1282C4⋊C4—798no—
1283C4⋊C4—794no—
1284C4⋊C4—794no—
1285C4⋊C4—792no—
1286C4⋊C4—794no—
1287C4⋊C4—794no—
1288C4⋊C4—794no—
1289C4⋊C4—794no—
1290C4⋊C4—794no—
1291C4⋊C4—794no—
1292C4⋊C4C23×D7912yes—
1293C4⋊C4C23×D7914yes—
1294C4⋊C4C23×D7914yes—
1295C4⋊C4C23×D7918yes—
1296C4⋊C4C23×D7912yes—
1297C4⋊C4C23×D7914yes—
1298C4⋊C4C23×D7918yes—
1299C4⋊C4C23×D7918yes—
1300C4⋊C4C23×D7914yes—
1301C4⋊C4C23×D7914yes—
1302C4⋊C4C23×D7918yes—
1303C22⋊C4—794no—
1304C22⋊C4—798no—
1305C22⋊C4—794no—
1306C22⋊C4—794no—
1307C22⋊C4—794no—
1308C22⋊C4—794no—
1309C22⋊C4—792no—
1310C22⋊C4—798no—
1311C22⋊C4—792no—
1312C22⋊C4—792no—
1313C22⋊C4—792no—
1314C22⋊C4—794no—
1315C22⋊C4—798no—
1316C22⋊C4—794no—
1317C22⋊C4—794no—
1318C22⋊C4—798no—
1319C22⋊C4—798no—
1320C22⋊C4—794no—
1321C22⋊C4—794no—
1322C22⋊C4—794no—
1323C22⋊C4—794no—
1324C22⋊C4—794no—
1325C22⋊C4—794no—
1326C22⋊C4—798no—
1327C22⋊C4—794no—
1328C22⋊C4C23×D7914yes—
1329C22⋊C4C23×D7914yes—
1330C22⋊C4C23×D7914yes—
1331C22⋊C4C23×D7918yes—
1332C22⋊C4C23×D7918yes—
1333C22⋊C4C23×D7918yes—
1334C42—798no—
1335C42—794no—
1336C42—798no—
1337C42—798no—
1338C42—794no—
1339C42—794no—
1340C42—798no—
1341C42—794no—
1342C42—798no—
1343C42—798no—
1344C42—794no—
1345C42—794no—
1346C42—792no—
1347C42—794no—
1348C42—792no—
1349C42C23×D7912yes—
1350C42C23×D7914yes—
1351C42C23×D7912yes—
1352C42C23×D7914yes—
1353C42C23×D7914yes—
1354C42C23×D7914yes—
1355C42C23×D7914yes—
1356C23—3161no—
1357C23—3161no—
1358C23—792no—
1359C23—794no—
1360C23—1582no—
1361C23C24×D7914yes—
1362C23C24×D7911yescharacteristic
1363Q8—28no—
1364Q8—24no—
1365Q8—44no—
1366Q8—3164no—
1367Q8—3164no—
1368Q8—3164no—
1369Q8—7916no—
1370Q8—1588no—
1371Q8—1588no—
1372Q8—15816no—
1373Q8—1584no—
1374D4—28no—
1375D4—24no—
1376D4—44no—
1377D4—3164no—
1378D4—3164no—
1379D4—3164no—
1380D4—3164no—
1381D4—3164no—
1382D4—3164no—
1383D4—3164no—
1384D4—15816no—
1385D4—1588no—
1386D4—1584no—
1387C2×C4—24no—
1388C2×C4—28no—
1389C2×C4—41no—
1390C2×C4—44no—
1391C2×C4—41no—
1392C2×C4—44no—
1393C2×C4—42no—
1394C2×C4—3164no—
1395C2×C4—3168no—
1396C2×C4—3164no—
1397C2×C4—3162no—
1398C2×C4—3168no—
1399C2×C4—3161no—
1400C2×C4—3161no—
1401C2×C4—794no—
1402C2×C4—798no—
1403C2×C4—794no—
1404C2×C4—791no—
1405C2×C4—794no—
1406C2×C4—792no—
1407C2×C4—791no—
1408C2×C4—791no—
1409C2×C4—791no—
1410C2×C4—794no—
1411C2×C4—794no—
1412C2×C4—15816no—
1413C2×C4—15816no—
1414C2×C4—15816no—
1415C2×C4—1582no—
1416C2×C4—1584no—
1417C2×C4—1584no—
1418C2×C4—1588no—
1419C2×C4#41×D7914yes—
1420C2×C4C24×D7912yes—
1421C2×C4C24×D7911yescharacteristic
1422C2×C4C24×D7914yes—
1423C2×C4C24×D7914yes—
1424C2×C4C24×D7914yes—
1425C2×C4C24×D7914yes—
1426C2×C4C24×D7914yes—
1427C2×C4C24×D7911yescharacteristic
1428C2×C4C24×D7912yes—
1429C22—21no—
1430C22—21no—
1431C22—24no—
1432C22—24no—
1433C22—24no—
1434C22—3164no—
1435C22—1582no—
1436C22—1584no—
1437C22—1584no—
1438C22—1582no—
1439C22—1584no—
1440C22—1582no—
1441C22C2×#41×D7912yes—
1442C22C25×D7911yescharacteristic
1443C4—24no—
1444C4—24no—
1445C4—21no—
1446C4—21no—
1447C4—24no—
1448C4—22no—
1449C4—24no—
1450C4—24no—
1451C4—798no—
1452C4—1584no—
1453C4—1581no—
1454C4—1581no—
1455C4—1584no—
1456C4—1584no—
1457C4—1581no—
1458C4—1581no—
1459C4—1582no—
1460C4—1584no—
1461C4C2×#41×D7914yes—
1462C2—22no—
1463C2—44no—
1464C2—3162no—
1465C2—3164no—
1466C2C22×#41×D7911yescharacteristic
1467C2#2377821211yescharacteristic
1468C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3461C2
hypercenter#3461D79
hypocenterC79#62850
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3461

Complements

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

NH ≅ G/Ntype
1. #23777507C2semidirect
2. #23777499C2semidirect
3. #23777492C2semidirect
4. #23777488C2semidirect
5. #23777413C2semidirect
6. #23777409C2semidirect
7. #23777391C2semidirect
8. #23777383C2semidirect
9. #23777264C2semidirect
10. #23777256C2semidirect
11. #23777208C2semidirect
12. #23777169C2semidirect
13. #23777121C2semidirect
14. #23777119C2semidirect
15. #23777112C2semidirect
16. #23777049C2semidirect
17. #23776833C2semidirect
18. #23776830C2semidirect
19. #23776786C2semidirect
20. #23776785C2semidirect
21. C4×#14579208C2semidirect
22. C2×#19099039C2semidirect
23. C79×#3461C2semidirect
26. #19099296C22semidirect
27. #19099295C22semidirect
28. #19099295C22semidirect
29. #19099293C22semidirect
30. #19099290C22semidirect
31. #19099290C22semidirect
32. #19099290C22semidirect
33. #19099289C22semidirect
34. #19099288C22semidirect
35. #19099288C22semidirect
37. #19099287C22semidirect
39. #19099285C22semidirect
41. #19099284C22semidirect
42. #19099282C22semidirect
43. #19099282C22semidirect
44. #19099281C22semidirect
46. #19099280C22semidirect
51. #19099272C22semidirect
52. #19099271C22semidirect
53. #19099269C22semidirect
59. #19099255C22semidirect
61. #19099249C22semidirect
62. #19099247C22semidirect
64. #19099246C22semidirect
66. #19099231C22semidirect
71. #19099226C22semidirect
74. #19099223C22semidirect
77. #19099219C22semidirect
82. #19099185C22semidirect
84. #19099183C22semidirect
85. #19099181C22semidirect
90. #19099172C22semidirect
93. #19099171C22semidirect
94. #19099170C22semidirect
110. #19099119C22semidirect
111. #19099117C22semidirect
114. #19099115C22semidirect
117. #19099100C22semidirect
125. #19099096C22semidirect
131. #19099090C22semidirect
137. #19099043C22semidirect
139. #19099042C22semidirect
141. #19099040C22semidirect
146. #19099039C22semidirect
148. C4×#11929624C22semidirect
150. C4×#11929623C22semidirect
154. C2×C4×Dic158C22semidirect
157. C4×Q8×D79C22semidirect
163. #542×C79C22semidirect
164. #541×C79C22semidirect
168. #533×C79C22semidirect
170. #529×C79C22semidirect
753. #3461D79semidirect
758. C79#62850semidirect
825. #542C2×D79semidirect
832. #541C2×D79semidirect
856. #533C2×D79semidirect
875. #529C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237775072
#237774992
#237774922
#237774882
#237774132
#237774092
#237773912
#237773832
#237772642
#237772562
#237772082
#237771692
#237771212
#237771192
#237771122
#237770492
#237768332
#237768302
#237767862
#237767852
C4×#145792082
C2×#190990392
C79×#34612
#6285079