Finite Group Databasebeta

← #35202001

Subgroups — #35202001

Order 20224.

6274 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778089C214yesmaximal, complemented
2#23778087C212yesmaximal, complemented
3#23778086C214yesmaximal, complemented
4#23778009C212yesmaximal, complemented
5#23778005C214yesmaximal, complemented
6#23778001C214yesmaximal, complemented
7#23777936C214yesmaximal, complemented
8#23777932C214yesmaximal, complemented
9#23777931C212yesmaximal, complemented
10#23777854C214yesmaximal, complemented
11#23777852C214yesmaximal, complemented
12#23777851C212yesmaximal, complemented
13#23777850C214yesmaximal, complemented
14#23777546C212yesmaximal, complemented
15C2×C79⋊#564C211yesmaximal, characteristic, complemented
16#23777379C214yesmaximal, complemented
17#23777370C214yesmaximal, complemented
18#23777366C212yesmaximal, complemented
19#23777324C211yesmaximal, characteristic, complemented
20#23777316C214yesmaximal, complemented
21C79×#3553C211yesmaximal, characteristic, complemented
22C79⋊#564C2211yescharacteristic
23C79⋊#564C2214yes—
24C79⋊#564C2212yes—
25C79⋊#564C2214yes—
26C79⋊#564C2214yes—
27C79⋊#564C2211yescharacteristic
28C79⋊#564C2214yes—
29#19099317C2212yes—
30#19099317C2212yes—
31#19099315C2214yes—
32#19099315C2214yes—
33#19099315C2214yes—
34#19099315C2214yes—
35#19099314C2214yes—
36#19099312C2214yes—
37#19099310C2214yes—
38#19099310C2214yes—
39#19099309C2214yes—
40#19099309C2214yes—
41#19099309C2214yes—
42#19099307C2212yes—
43#19099307C2212yes—
44#19099292C2214yes—
45#19099290C2214yes—
46#19099289C2212yes—
47#19099274C2214yes—
48#19099273C2214yes—
49#19099272C2212yes—
50#19099271C2214yes—
51#19099271C2214yes—
52#19099271C2212yes—
53#19099270C2214yes—
54#19099269C2214yes—
55#19099267C2214yes—
56#19099267C2214yes—
57#19099266C2214yes—
58#19099265C2212yes—
59#19099265C2214yes—
60#19099264C2214yes—
61#19099264C2214yes—
62#19099264C2214yes—
63#19099263C2212yes—
64#19099262C2214yes—
65#19099262C2214yes—
66#19099262C2214yes—
67#19099261C2214yes—
68#19099261C2214yes—
69#19099261C2214yes—
70#19099259C2214yes—
71#19099259C2214yes—
72#19099258C2214yes—
73#19099258C2214yes—
74#19099257C2214yes—
75#19099256C2214yes—
76#19099256C2214yes—
77#19099255C2214yes—
78#19099255C2214yes—
79#19099255C2214yes—
80#19099255C2212yes—
81#19099255C2214yes—
82#19099254C2214yes—
83#19099254C2212yes—
84#19099252C2214yes—
85#19099251C2214yes—
86#19099251C2214yes—
87#19099251C2214yes—
88#19099250C2214yes—
89#19099250C2214yes—
90#19099250C2214yes—
91#19099249C2214yes—
92#19099249C2214yes—
93#19099249C2214yes—
94#19099248C2214yes—
95#19099247C2214yes—
96#19099247C2214yes—
97#19099246C2214yes—
98#19099246C2214yes—
99#19099245C2214yes—
100#19099245C2214yes—
101#19099245C2214yes—
102#19099217C2214yes—
103#19099217C2214yes—
104#19099217C2214yes—
105#19099213C2212yes—
106#19099213C2214yes—
107#19099211C2214yes—
108#19099211C2214yes—
109#19099211C2214yes—
110#19099193C2214yes—
111#19099193C2214yes—
112#19099193C2214yes—
113#19099191C2214yes—
114#19099191C2214yes—
115#19099176C2212yes—
116#19099176C2214yes—
117#19099176C2214yes—
118#19099174C2214yes—
119#19099173C2214yes—
120#19099172C2214yes—
121#19099172C2214yes—
122#19099172C2214yes—
123#19099171C2214yes—
124#19099170C2214yes—
125#19099170C2214yes—
126#19099170C2214yes—
127#19099169C2212yes—
128#19099168C2214yes—
129#19099166C2214yes—
130#19099165C2214yes—
131#19099165C2214yes—
132#19099165C2214yes—
133#19099164C2214yes—
134#19099163C2214yes—
135#19099162C2214yes—
136#19099162C2214yes—
137#19099162C2214yes—
138#19099162C2214yes—
139#19099161C2214yes—
140#19099161C2214yes—
141#19099161C2214yes—
142#19099160C2214yes—
143#19099159C2214yes—
144#19099159C2214yes—
145#19099159C2214yes—
146#19099157C2214yes—
147#19099157C2214yes—
148#19099157C2214yes—
149#19099157C2214yes—
150#19099156C2214yes—
151#19099155C2214yes—
152#19099155C2214yes—
153#19099154C2214yes—
154#19099154C2214yes—
155#19099154C2214yes—
156#19099154C2214yes—
157#19099154C2214yes—
158#19099144C2212yes—
159#19099140C2214yes—
160#19099140C2214yes—
161#19099119C2212yes—
162#19099118C2214yes—
163#19099115C2214yes—
164#19099113C2211yescharacteristic
165#19099108C2214yes—
166#19099100C2214yes—
167#19099099C2214yes—
168#19099099C2214yes—
169#19099098C2212yes—
170#19099098C2212yes—
171#19099096C2214yes—
172#19099096C2214yes—
173#19099093C2214yes—
174#19099093C2214yes—
175#19099092C2212yes—
176#19099092C2212yes—
177#19099091C2214yes—
178#19099090C2214yes—
179#19099090C2214yes—
180C2×#14579153C2212yes—
181C2×#14579152C2214yes—
182C2×#14579152C2214yes—
183C2×#14579151C2214yes—
184C2×#14579151C2214yes—
185#125×D79C2212yes—
186#125×D79C2214yes—
187#19099044C2212yes—
188#19099042C2214yes—
189#19099042C2214yes—
190C4×#11929624C2211yescharacteristic
191C4×#11929623C2214yes—
192#564×C79C2211yescharacteristic
193#563×C79C2212yes—
194#562×C79C2211yescharacteristic
195#554×C79C2214yes—
196#553×C79C2214yes—
197#552×C79C2214yes—
198#541×C79C2214yes—
199#539×C79C2214yes—
200#539×C79C2214yes—
201#529×C79C2212yes—
202C2×#125×C79C2211yescharacteristic
203C2×#11929624C2311yescharacteristic
204C2×#11929624C2312yes—
205C2×#11929623C2314yes—
206C2×#11929623C2314yes—
207C2×#11929623C2314yes—
208#14579161C2311yescharacteristic
209#14579161C2314yes—
210#14579161C2314yes—
211#14579161C2314yes—
212#14579160C2314yes—
213#14579160C2314yes—
214#14579160C2314yes—
215#14579160C2312yes—
216#14579160C2314yes—
217#14579160C2314yes—
218#14579160C2312yes—
219#14579159C2314yes—
220#14579158C2311yescharacteristic
221#14579157C2314yes—
222#14579156C2314yes—
223#14579156C2314yes—
224#14579156C2314yes—
225#14579156C2314yes—
226#14579156C2314yes—
227#14579156C2314yes—
228#14579156C2314yes—
229#14579156C2314yes—
230#14579156C2314yes—
231#14579156C2314yes—
232#14579156C2314yes—
233#14579156C2314yes—
234#14579156C2314yes—
235#14579156C2314yes—
236#14579156C2314yes—
237#14579156C2314yes—
238#14579156C2314yes—
239#14579155C2314yes—
240#14579155C2314yes—
241#14579155C2314yes—
242#14579155C2314yes—
243#14579154C2314yes—
244#14579154C2314yes—
245#14579154C2314yes—
246#14579154C2314yes—
247#14579154C2314yes—
248#14579154C2314yes—
249#14579154C2314yes—
250#14579154C2314yes—
251#14579154C2314yes—
252#14579153C2312yes—
253#14579153C2312yes—
254#14579153C2314yes—
255#14579153C2314yes—
256#14579153C2314yes—
257#14579153C2314yes—
258#14579153C2314yes—
259#14579153C2312yes—
260#14579153C2312yes—
261#14579152C2314yes—
262#14579152C2314yes—
263#14579152C2314yes—
264#14579152C2314yes—
265#14579152C2314yes—
266#14579152C2314yes—
267#14579152C2314yes—
268#14579152C2314yes—
269#14579152C2314yes—
270#14579152C2314yes—
271#14579152C2314yes—
272#14579152C2314yes—
273#14579152C2314yes—
274#14579152C2314yes—
275#14579152C2314yes—
276#14579152C2314yes—
277#14579152C2312yes—
278#14579152C2314yes—
279#14579152C2312yes—
280#14579152C2314yes—
281#14579152C2314yes—
282#14579152C2314yes—
283#14579151C2314yes—
284#14579151C2314yes—
285#14579151C2314yes—
286#14579151C2314yes—
287#14579151C2314yes—
288#14579151C2314yes—
289#14579151C2314yes—
290#14579151C2314yes—
291#14579151C2314yes—
292#14579151C2314yes—
293#14579151C2314yes—
294#14579151C2314yes—
295#14579151C2314yes—
296#14579151C2314yes—
297#14579151C2314yes—
298#14579151C2314yes—
299#14579151C2314yes—
300#14579151C2314yes—
301#14579151C2314yes—
302#14579151C2314yes—
303#14579151C2314yes—
304#14579151C2314yes—
305#14579151C2314yes—
306#14579151C2314yes—
307#14579151C2314yes—
308#14579151C2314yes—
309#14579151C2314yes—
310#14579150C2314yes—
311#14579149C2312yes—
312#14579147C2314yes—
313#14579147C2314yes—
314#14579147C2314yes—
315#14579146C2314yes—
316#14579146C2314yes—
317#14579146C2314yes—
318#14579146C2314yes—
319#14579146C2314yes—
320#14579146C2314yes—
321#14579146C2314yes—
322#14579146C2314yes—
323#14579146C2314yes—
324#14579146C2314yes—
325#14579146C2314yes—
326#14579146C2314yes—
327#14579146C2314yes—
328#14579145C2314yes—
329#14579145C2314yes—
330#14579145C2314yes—
331#14579145C2314yes—
332#14579145C2314yes—
333#14579145C2314yes—
334#14579145C2314yes—
335#14579145C2314yes—
336#14579145C2314yes—
337#14579145C2314yes—
338#14579144C2314yes—
339#14579144C2314yes—
340#14579144C2314yes—
341#14579144C2314yes—
342#14579143C2314yes—
343#14579143C2314yes—
344#14579143C2314yes—
345#14579143C2314yes—
346#14579143C2314yes—
347#14579143C2314yes—
348#14579143C2314yes—
349#14579143C2314yes—
350#14579143C2314yes—
351#14579143C2314yes—
352#14579143C2314yes—
353#14579142C2314yes—
354#14579142C2314yes—
355#14579141C2312yes—
356#14579141C2314yes—
357#14579141C2312yes—
358#14579141C2314yes—
359#14579141C2314yes—
360#14579141C2314yes—
361#14579141C2314yes—
362#14579141C2314yes—
363#14579141C2314yes—
364#14579141C2314yes—
365#14579140C2314yes—
366#14579140C2314yes—
367#14579139C2314yes—
368#14579139C2314yes—
369#14579139C2314yes—
370#14579139C2314yes—
371#14579139C2314yes—
372#14579139C2314yes—
373#14579139C2314yes—
374#14579139C2314yes—
375#14579139C2314yes—
376#14579139C2314yes—
377#14579139C2314yes—
378#14579138C2314yes—
379#14579138C2314yes—
380#14579138C2314yes—
381#14579138C2314yes—
382#14579138C2314yes—
383#14579138C2314yes—
384#14579138C2314yes—
385#14579138C2314yes—
386#14579138C2314yes—
387#14579138C2314yes—
388#14579138C2314yes—
389#14579138C2314yes—
390#14579137C2314yes—
391#14579137C2312yes—
392#14579137C2314yes—
393#14579137C2314yes—
394#14579137C2314yes—
395#14579137C2314yes—
396#14579137C2312yes—
397#14579137C2314yes—
398#14579136C2312yes—
399#14579136C2314yes—
400#14579136C2312yes—
401#14579136C2314yes—
402#14579136C2314yes—
403#14579135C2314yes—
404#14579135C2314yes—
405#14579135C2314yes—
406#14579135C2314yes—
407#14579135C2314yes—
408#14579135C2314yes—
409#14579135C2314yes—
410#14579134C2314yes—
411#14579134C2314yes—
412#14579134C2314yes—
413#14579134C2314yes—
414#14579134C2314yes—
415#14579134C2314yes—
416#14579134C2314yes—
417#14579134C2314yes—
418#14579134C2314yes—
419#14579133C2314yes—
420#14579133C2314yes—
421#14579133C2314yes—
422#14579133C2314yes—
423#14579133C2314yes—
424#14579133C2314yes—
425#14579133C2314yes—
426#14579133C2314yes—
427#14579132C2314yes—
428#14579132C2312yes—
429#14579132C2312yes—
430Q8×Dic79C2314yes—
431Q8×Dic79C2312yes—
432Q8×Dic79C2314yes—
433Q8×Dic79C2312yes—
434C4×Dic158C2312yes—
435C4×Dic158C2314yes—
436C4×Dic158C2314yes—
437C4×Dic158C2314yes—
438C4×Dic158C2314yes—
439#14579126C2312yes—
440#14579126C2314yes—
441#14579126C2314yes—
442#14579126C2314yes—
443#14579126C2314yes—
444#14579126C2312yes—
445#14579126C2314yes—
446C4×D316C2314yes—
447C4×D316C2312yes—
448C4×D316C2314yes—
449C4×D316C2314yes—
450C4×D316C2314yes—
451C4×D316C2314yes—
452D4×Dic79C2312yes—
453D4×Dic79C2314yes—
454D4×Dic79C2314yes—
455D4×Dic79C2314yes—
456D4×Dic79C2312yes—
457#14579123C2312yes—
458#14579123C2314yes—
459#14579123C2314yes—
460#14579123C2314yes—
461#14579123C2312yes—
462#14579123C2314yes—
463C4×C22⋊D79C2312yes—
464C4×C22⋊D79C2314yes—
465C4×C22⋊D79C2314yes—
466C4×C22⋊D79C2314yes—
467C4×C22⋊D79C2314yes—
468C4×C22⋊D79C2314yes—
469C4×C22⋊D79C2314yes—
470C4×C22⋊D79C2314yes—
471C4×C22⋊D79C2314yes—
472C4×C22⋊D79C2312yes—
473(C22⋊D79)⋊C4C2314yes—
474(C22⋊D79)⋊C4C2314yes—
475(C22⋊D79)⋊C4C2314yes—
476(C22⋊D79)⋊C4C2314yes—
477(C22⋊D79)⋊C4C2314yes—
478(C22⋊D79)⋊C4C2314yes—
479(C22⋊D79)⋊C4C2314yes—
480(C22⋊D79)⋊C4C2314yes—
481(C22⋊D79)⋊C4C2314yes—
482(C22⋊D79)⋊C4C2314yes—
483(C22⋊D79)⋊C4C2314yes—
484(C22⋊D79)⋊C4C2314yes—
485#14579120C2314yes—
486#14579120C2314yes—
487#14579120C2311yescharacteristic
488#14579119C2314yes—
489#14579119C2314yes—
490#14579119C2314yes—
491#14579119C2314yes—
492#14579119C2314yes—
493#14579119C2312yes—
494#14579119C2314yes—
495#14579119C2314yes—
496#14579119C2312yes—
497#14579118C2314yes—
498#14579118C2312yes—
499#14579118C2314yes—
500#14579118C2314yes—
501#14579118C2314yes—
502#14579118C2314yes—
503#14579117C2314yes—
504#14579117C2314yes—
505#14579117C2314yes—
506#14579117C2314yes—
507#14579117C2314yes—
508#14579117C2314yes—
509C2×C4⋊Dic79C2314yes—
510C2×C4⋊Dic79C2314yes—
511C2×C4⋊Dic79C2314yes—
512C2×C4⋊Dic79C2314yes—
513C2×C4⋊Dic79C2312yes—
514C2×C4⋊Dic79C2312yes—
515C2×Dic79⋊C4C2314yes—
516C2×Dic79⋊C4C2314yes—
517C2×Dic79⋊C4C2314yes—
518C2×Dic79⋊C4C2314yes—
519C2×Dic79⋊C4C2314yes—
520C2×Dic79⋊C4C2314yes—
521C4⋊C4×D79C2312yes—
522C4⋊C4×D79C2314yes—
523C4⋊C4×D79C2314yes—
524C4⋊C4×D79C2314yes—
525C4⋊C4×D79C2314yes—
526C4⋊C4×D79C2314yes—
527C4⋊C4×D79C2312yes—
528C4⋊C4×D79C2314yes—
529C4⋊C4×D79C2314yes—
530C4⋊C4×D79C2314yes—
531C2×C4×Dic79C2314yes—
532C2×C4×Dic79C2314yes—
533C42×D79C2314yes—
534C42×D79C2312yes—
535C4⋊Q8×C79C2314yes—
536#126×C79C2314yes—
537#126×C79C2314yes—
538#126×C79C2314yes—
539#126×C79C2314yes—
540#126×C79C2314yes—
541#125×C79C2314yes—
542#125×C79C2314yes—
543#125×C79C2314yes—
544#125×C79C2312yes—
545#125×C79C2314yes—
546#125×C79C2314yes—
547#125×C79C2314yes—
548#125×C79C2311yescharacteristic
549#125×C79C2311yescharacteristic
550#125×C79C2312yes—
551#124×C79C2312yes—
552#123×C79C2314yes—
553#123×C79C2314yes—
554#123×C79C2314yes—
555#123×C79C2314yes—
556#123×C79C2314yes—
557C22⋊Q8×C79C2314yes—
558C22⋊Q8×C79C2314yes—
559C22⋊Q8×C79C2314yes—
560C22⋊Q8×C79C2312yes—
561C22⋊Q8×C79C2314yes—
562C22⋊Q8×C79C2314yes—
563C22⋊Q8×C79C2314yes—
564#121×C79C2312yes—
565#121×C79C2314yes—
566#121×C79C2314yes—
567C4×Q8×C79C2314yes—
568C4×Q8×C79C2312yes—
569C4×D4×C79C2314yes—
570C4×D4×C79C2314yes—
571C4×D4×C79C2314yes—
572C4×D4×C79C2314yes—
573C4×D4×C79C2312yes—
574#117×C79C2314yes—
575#117×C79C2314yes—
576C2×C4⋊C4×C79C2312yes—
577C2×C4⋊C4×C79C2314yes—
578C2×C4⋊C4×C79C2314yes—
579C2×C42×C79C2311yescharacteristic
580#11929624—42no—
581#11929624—44no—
582#11929623—48no—
583#11929623—48no—
584#11929623—48no—
585C2×Dic158C2414yes—
586C2×Dic158C2414yes—
587C2×Dic158C2414yes—
588C2×Dic158C2412yes—
589C2×Dic158C2411yescharacteristic
590C2×Dic158C2414yes—
591C2×D316C2412yes—
592C2×D316C2411yescharacteristic
593C2×D316C2414yes—
594C2×D316C2414yes—
595C2×D316C2414yes—
596C2×C22⋊D79C2414yes—
597C2×C22⋊D79C2412yes—
598C2×C22⋊D79C2414yes—
599C2×C22⋊D79C2414yes—
600C2×C22⋊D79C2414yes—
601C2×C22⋊D79C2414yes—
602C2×C22⋊D79C2414yes—
603C2×C22⋊D79C2414yes—
604C22×Dic79C2414yes—
605C22×Dic79C2414yes—
606C22×Dic79C2414yes—
607C22×Dic79C2414yes—
608C22×Dic79C2414yes—
609C22×Dic79C2414yes—
610C2×C4×D79C2414yes—
611C2×C4×D79C2414yes—
612C2×C4×D79C2414yes—
613C2×C4×D79C2412yes—
614C2×C4×D79C2414yes—
615C2×C4×D79C2414yes—
616C2×C4×D79C2412yes—
617C2×C4×D79C2414yes—
618C2×C4×D79C2412yes—
619C2×C4×D79C2414yes—
620C2×C4×D79C2414yes—
621C2×C4×D79C2414yes—
622C4⋊Dic79C2412yes—
623C4⋊Dic79C2414yes—
624C4⋊Dic79C2414yes—
625C4⋊Dic79C2412yes—
626C4⋊Dic79C2412yes—
627C4⋊Dic79C2414yes—
628C4⋊Dic79C2414yes—
629C4⋊Dic79C2414yes—
630C4⋊Dic79C2414yes—
631C4⋊Dic79C2414yes—
632C4⋊Dic79C2414yes—
633C4⋊Dic79C2414yes—
634C4⋊Dic79C2414yes—
635C4⋊Dic79C2414yes—
636C4⋊Dic79C2412yes—
637C4⋊Dic79C2412yes—
638C4⋊Dic79C2414yes—
639C4⋊Dic79C2414yes—
640C4⋊Dic79C2414yes—
641C4⋊Dic79C2414yes—
642C4⋊Dic79C2414yes—
643C4⋊Dic79C2414yes—
644Dic79⋊C4C2414yes—
645Dic79⋊C4C2414yes—
646Dic79⋊C4C2414yes—
647Dic79⋊C4C2414yes—
648Dic79⋊C4C2414yes—
649Dic79⋊C4C2414yes—
650Dic79⋊C4C2414yes—
651Dic79⋊C4C2414yes—
652Dic79⋊C4C2414yes—
653Dic79⋊C4C2414yes—
654Dic79⋊C4C2414yes—
655Dic79⋊C4C2414yes—
656Dic79⋊C4C2414yes—
657Dic79⋊C4C2414yes—
658Dic79⋊C4C2414yes—
659Dic79⋊C4C2414yes—
660Dic79⋊C4C2414yes—
661Dic79⋊C4C2412yes—
662Dic79⋊C4C2414yes—
663Dic79⋊C4C2414yes—
664Dic79⋊C4C2414yes—
665Dic79⋊C4C2414yes—
666Dic79⋊C4C2414yes—
667Dic79⋊C4C2414yes—
668Dic79⋊C4C2414yes—
669Dic79⋊C4C2414yes—
670Dic79⋊C4C2414yes—
671Dic79⋊C4C2414yes—
672Dic79⋊C4C2414yes—
673Dic79⋊C4C2414yes—
674Dic79⋊C4C2414yes—
675Dic79⋊C4C2412yes—
676C22⋊Dic79C2411yescharacteristic
677C22⋊Dic79C2414yes—
678C22⋊Dic79C2414yes—
679C22⋊Dic79C2414yes—
680C22⋊Dic79C2414yes—
681C22⋊Dic79C2411yescharacteristic
682C22⋊Dic79C2414yes—
683C22⋊Dic79C2414yes—
684(C2×D79)⋊C4C2412yes—
685(C2×D79)⋊C4C2414yes—
686(C2×D79)⋊C4C2414yes—
687(C2×D79)⋊C4C2414yes—
688(C2×D79)⋊C4C2414yes—
689(C2×D79)⋊C4C2414yes—
690(C2×D79)⋊C4C2414yes—
691(C2×D79)⋊C4C2414yes—
692(C2×D79)⋊C4C2414yes—
693(C2×D79)⋊C4C2412yes—
694(C2×D79)⋊C4C2414yes—
695(C2×D79)⋊C4C2414yes—
696(C2×D79)⋊C4C2414yes—
697(C2×D79)⋊C4C2414yes—
698(C2×D79)⋊C4C2414yes—
699(C2×D79)⋊C4C2414yes—
700(C2×D79)⋊C4C2414yes—
701(C2×D79)⋊C4C2414yes—
702(C2×D79)⋊C4C2414yes—
703(C2×D79)⋊C4C2414yes—
704(C2×D79)⋊C4C2414yes—
705(C2×D79)⋊C4C2414yes—
706C4×Dic79C2414yes—
707C4×Dic79C2414yes—
708C4×Dic79C2412yes—
709C4×Dic79C2412yes—
710C4×Dic79C2414yes—
711C4×Dic79C2412yes—
712C4×Dic79C2414yes—
713C4×Dic79C2414yes—
714C4×Dic79C2414yes—
715C4×Dic79C2414yes—
716C4×Dic79C2414yes—
717C4×Dic79C2414yes—
718C4×Dic79C2414yes—
719C4×Dic79C2414yes—
720C4×Dic79C2414yes—
721C2×Q8×C79C2414yes—
722C2×Q8×C79C2412yes—
723C2×D4×C79C2414yes—
724C2×D4×C79C2414yes—
725C2×D4×C79C2412yes—
726C22×C4×C79C2411yescharacteristic
727C22×C4×C79C2412yes—
728C22×C4×C79C2414yes—
729C22×C4×C79C2414yes—
730C22×C4×C79C2414yes—
731C22×C4×C79C2414yes—
732C4⋊C4×C79C2414yes—
733C4⋊C4×C79C2414yes—
734C4⋊C4×C79C2414yes—
735C4⋊C4×C79C2414yes—
736C4⋊C4×C79C2414yes—
737C4⋊C4×C79C2412yes—
738C4⋊C4×C79C2414yes—
739C4⋊C4×C79C2414yes—
740C4⋊C4×C79C2414yes—
741C4⋊C4×C79C2412yes—
742C4⋊C4×C79C2414yes—
743C4⋊C4×C79C2414yes—
744C4⋊C4×C79C2412yes—
745C4⋊C4×C79C2414yes—
746C4⋊C4×C79C2414yes—
747C4⋊C4×C79C2414yes—
748C4⋊C4×C79C2412yes—
749C4⋊C4×C79C2414yes—
750C4⋊C4×C79C2414yes—
751C22⋊C4×C79C2414yes—
752C22⋊C4×C79C2414yes—
753C22⋊C4×C79C2414yes—
754C22⋊C4×C79C2414yes—
755C22⋊C4×C79C2414yes—
756C22⋊C4×C79C2414yes—
757C22⋊C4×C79C2414yes—
758C22⋊C4×C79C2414yes—
759C22⋊C4×C79C2414yes—
760C42×C79C2411yescharacteristic
761C42×C79C2412yes—
762C42×C79C2411yescharacteristic
763C42×C79C2414yes—
764C42×C79C2414yes—
765C42×C79C2414yes—
766C23×C79C2514yes—
767C23×C79C2511yescharacteristic
768C22×D79C2512yes—
769C22×D79C2514yes—
770Q8×C79—44no—
771Q8×C79—42no—
772D4×C79—28no—
773D4×C79—44no—
774D4×C79—42no—
775C2×C4×C79—22no—
776C2×C4×C79—44no—
777C2×C4×C79—42no—
778C2×C4×C79—44no—
779C2×C4×C79—44no—
780C2×C4×C79—44no—
781C2×C4×C79C2514yes—
782C2×C4×C79C2514yes—
783C2×C4×C79C2514yes—
784C2×C4×C79C2514yes—
785C2×C4×C79C2512yes—
786C2×C4×C79C2511yescharacteristic
787C2×C4×C79C2514yes—
788C2×C4×C79C2512yes—
789C2×C4×C79C2511yescharacteristic
790C22⋊D79—28no—
791C22⋊D79—24no—
792C22⋊D79—44no—
793C22⋊D79—44no—
794C22⋊D79—44no—
795C22⋊D79—44no—
796C22⋊D79—44no—
797C22⋊D79—44no—
798C2×Dic79—28no—
799C2×Dic79—44no—
800C2×Dic79—44no—
801C2×Dic79—44no—
802C2×Dic79—44no—
803C2×Dic79—44no—
804C2×Dic79C2512yes—
805C2×Dic79C2514yes—
806C2×Dic79C2512yes—
807C2×Dic79C2514yes—
808C2×Dic79C2512yes—
809C2×Dic79C2514yes—
810C2×Dic79C2514yes—
811C2×Dic79C2514yes—
812D316—44no—
813D316—44no—
814D316—44no—
815D316—42no—
816D316—41no—
817C4×D79—44no—
818C4×D79—44no—
819C4×D79—44no—
820C4×D79—44no—
821C4×D79—42no—
822C4×D79—44no—
823C4×D79—42no—
824C4×D79—44no—
825C4×D79—44no—
826C4×D79—44no—
827C4×D79—42no—
828C4×D79—44no—
829Dic158—44no—
830Dic158—44no—
831Dic158—44no—
832Dic158—44no—
833Dic158—42no—
834Dic158—41no—
835C22×C79—22no—
836C22×C79—24no—
837C22×C79—24no—
838C22×C79—24no—
839C22×C79#58512yes—
840C22×C79C2611yescharacteristic
841C2×D79—22no—
842C2×D79—24no—
843C2×D79—22no—
844C2×D79—24no—
845C2×D79—24no—
846C2×D79—22no—
847C4×C79—21no—
848C4×C79—21no—
849C4×C79—24no—
850C4×C79—22no—
851C4×C79—24no—
852C4×C79—24no—
853C4×C79—24no—
854C4×C79—22no—
855C4×C79—24no—
856Dic79—22no—
857Dic79—24no—
858Dic79—24no—
859Dic79—24no—
860Dic79—24no—
861Dic79—24no—
862Dic79—22no—
863Dic79—22no—
864#63068—791nomaximal, Sylow
865C2×C79—22no—
866C2×C79—44no—
867C2×C79C2×#58511yescharacteristic
868C2×C792−1+612yes—
869D79—42no—
870D79—44no—
871#3567—792no—
872#3567—794no—
873#3567—794no—
874#3563—792no—
875#3563—794no—
876#3563—794no—
877#3559—794no—
878#3559—794no—
879#3559—792no—
880#3553—792no—
881#3553—794no—
882#3553—794no—
883#3553—794no—
884#3553D7911yescharacteristic, complemented
885#3531—792no—
886C2×#564—791no—
887#3515—794no—
888#3515—794no—
889#3515—792no—
890#3512—794no—
891#3512—791no—
892C79#6306811yescharacteristic, complemented, Sylow
893#564—791no—
894#564—794no—
895#564—791no—
896#564—794no—
897#564—794no—
898#564—792no—
899#564—794no—
900#564C2×D7911yescharacteristic
901#563—794no—
902#563—794no—
903#563—794no—
904#563—794no—
905#563—794no—
906#563—792no—
907#563—792no—
908#563—794no—
909#563C2×D7912yes—
910#562—792no—
911#562—792no—
912#562—794no—
913#562—794no—
914#562—794no—
915#562—794no—
916#562—794no—
917#562C2×D7911yescharacteristic
918#557—794no—
919#557—792no—
920#557—794no—
921#554—794no—
922#554—794no—
923#554—794no—
924#554—794no—
925#554—792no—
926#554—794no—
927#554—794no—
928#554—794no—
929#554—794no—
930#554—792no—
931#554C2×D7914yes—
932#553—794no—
933#553—794no—
934#553—794no—
935#553—794no—
936#553—794no—
937#553—794no—
938#553—794no—
939#553—794no—
940#553—792no—
941#553—794no—
942#553—794no—
943#553—794no—
944#553—794no—
945#553—794no—
946#553—794no—
947#553—792no—
948#553—794no—
949#553—794no—
950#553—794no—
951#553—794no—
952#553C2×D7914yes—
953#552—794no—
954#552—794no—
955#552—794no—
956#552—794no—
957#552—794no—
958#552—794no—
959#552—794no—
960#552—794no—
961#552—794no—
962#552—794no—
963#552—794no—
964#552—794no—
965#552—794no—
966#552—794no—
967#552—794no—
968#552—792no—
969#552—794no—
970#552—794no—
971#552—794no—
972#552—792no—
973#552—794no—
974#552—794no—
975#552—794no—
976#552—794no—
977#552—794no—
978#552C2×D7914yes—
979#547—794no—
980#547—794no—
981#547—794no—
982#547—792no—
983#547—794no—
984#547—794no—
985#547—794no—
986#547—794no—
987#544—794no—
988#544—794no—
989#544—794no—
990#544—794no—
991#544—794no—
992#541—794no—
993#541—794no—
994#541—794no—
995#541—794no—
996#541—794no—
997#541—794no—
998#541—794no—
999#541—792no—
1000#541—794no—
1001#541—794no—
1002#541—794no—
1003#541—794no—
1004#541C2×D7914yes—
1005#540—792no—
1006#540—794no—
1007#540—794no—
1008#540—794no—
1009#540—794no—
1010#540—794no—
1011#540—794no—
1012#540—794no—
1013#539—794no—
1014#539—794no—
1015#539—794no—
1016#539—794no—
1017#539—794no—
1018#539—794no—
1019#539—794no—
1020#539—794no—
1021#539—794no—
1022#539—794no—
1023#539—794no—
1024#539—794no—
1025#539—794no—
1026#539—794no—
1027#539—794no—
1028#539—794no—
1029#539—794no—
1030#539—794no—
1031#539—794no—
1032#539—794no—
1033#539—794no—
1034#539—794no—
1035#539—794no—
1036#539C2×D7914yes—
1037#539C2×D7914yes—
1038#537—794no—
1039#537—794no—
1040#537—792no—
1041#533—794no—
1042#533—792no—
1043#533—794no—
1044#532—794no—
1045#532—791no—
1046#529—794no—
1047#529—794no—
1048#529—792no—
1049#529—792no—
1050#529—792no—
1051#529—792no—
1052#529—794no—
1053#529—794no—
1054#529—794no—
1055#529—794no—
1056#529—794no—
1057#529—794no—
1058#529—794no—
1059#529—794no—
1060#529C2×D7912yes—
1061C2×#125—794no—
1062C2×#125—792no—
1063C2×#125—794no—
1064C2×#125—794no—
1065C2×#125—794no—
1066C2×#125—794no—
1067C2×#125—792no—
1068C2×#125C2×D7911yescharacteristic
1069#520—794no—
1070#520—794no—
1071#520—792no—
1072C4×#41—794no—
1073C4×#41—791no—
1074C2×#41—794no—
1075C2×#41—794no—
1076C2×#41—794no—
1077C2×#41—791no—
1078C2×#41—792no—
1079C4⋊Q8—794no—
1080C4⋊Q8—794no—
1081C4⋊Q8—792no—
1082C4⋊Q8—794no—
1083C4⋊Q8—792no—
1084C4⋊Q8—794no—
1085C4⋊Q8—794no—
1086C4⋊Q8—794no—
1087C4⋊Q8—791no—
1088C4⋊Q8—794no—
1089C4⋊Q8—794no—
1090C4⋊Q8—794no—
1091C4⋊Q8C22×D7914yes—
1092#127—794no—
1093#127—791no—
1094#126—794no—
1095#126—794no—
1096#126—794no—
1097#126—794no—
1098#126—794no—
1099#126—794no—
1100#126—794no—
1101#126—794no—
1102#126—794no—
1103#126—794no—
1104#126—794no—
1105#126—794no—
1106#126—794no—
1107#126—794no—
1108#126—794no—
1109#126—794no—
1110#126—794no—
1111#126—794no—
1112#126—794no—
1113#126—794no—
1114#126—794no—
1115#126—794no—
1116#126—794no—
1117#126—794no—
1118#126—794no—
1119#126—794no—
1120#126—794no—
1121#126—794no—
1122#126—794no—
1123#126—794no—
1124#126C22×D7914yes—
1125#126C22×D7914yes—
1126#126C22×D7914yes—
1127#126C22×D7914yes—
1128#126C22×D7914yes—
1129#125—794no—
1130#125—794no—
1131#125—794no—
1132#125—794no—
1133#125—794no—
1134#125—794no—
1135#125—794no—
1136#125—794no—
1137#125—794no—
1138#125—794no—
1139#125—794no—
1140#125—794no—
1141#125—794no—
1142#125—794no—
1143#125—794no—
1144#125—794no—
1145#125—794no—
1146#125—794no—
1147#125—794no—
1148#125—794no—
1149#125—794no—
1150#125—794no—
1151#125—794no—
1152#125—794no—
1153#125—794no—
1154#125—794no—
1155#125—794no—
1156#125—794no—
1157#125—794no—
1158#125—794no—
1159#125—794no—
1160#125—794no—
1161#125—794no—
1162#125—794no—
1163#125—794no—
1164#125—792no—
1165#125—794no—
1166#125—794no—
1167#125—794no—
1168#125—792no—
1169#125—794no—
1170#125—794no—
1171#125—794no—
1172#125—794no—
1173#125—794no—
1174#125—794no—
1175#125—794no—
1176#125—794no—
1177#125—794no—
1178#125—792no—
1179#125—792no—
1180#125—794no—
1181#125—792no—
1182#125—792no—
1183#125—794no—
1184#125—794no—
1185#125—794no—
1186#125—794no—
1187#125C22×D7912yes—
1188#125C22×D7914yes—
1189#125C22×D7911yescharacteristic
1190#125C22×D7911yescharacteristic
1191#125C22×D7914yes—
1192#125C22×D7912yes—
1193#125C22×D7914yes—
1194#125C22×D7914yes—
1195#125C22×D7914yes—
1196#125C22×D7914yes—
1197#124—794no—
1198#124—794no—
1199#124—794no—
1200#124—794no—
1201#124—792no—
1202#124C22×D7912yes—
1203#123—794no—
1204#123—794no—
1205#123—794no—
1206#123—794no—
1207#123—794no—
1208#123—794no—
1209#123—794no—
1210#123—794no—
1211#123—794no—
1212#123—794no—
1213#123—794no—
1214#123—794no—
1215#123—794no—
1216#123—794no—
1217#123—794no—
1218#123—794no—
1219#123—794no—
1220#123—794no—
1221#123—794no—
1222#123—794no—
1223#123—794no—
1224#123—794no—
1225#123—794no—
1226#123—794no—
1227#123—794no—
1228#123—794no—
1229#123—794no—
1230#123—794no—
1231#123—794no—
1232#123—794no—
1233#123—794no—
1234#123—794no—
1235#123—794no—
1236#123—794no—
1237#123—794no—
1238#123—794no—
1239#123—794no—
1240#123—794no—
1241#123—794no—
1242#123—794no—
1243#123C22×D7914yes—
1244#123C22×D7914yes—
1245#123C22×D7914yes—
1246#123C22×D7914yes—
1247#123C22×D7914yes—
1248C22⋊Q8—792no—
1249C22⋊Q8—794no—
1250C22⋊Q8—792no—
1251C22⋊Q8—794no—
1252C22⋊Q8—794no—
1253C22⋊Q8—794no—
1254C22⋊Q8—794no—
1255C22⋊Q8—794no—
1256C22⋊Q8—794no—
1257C22⋊Q8—794no—
1258C22⋊Q8—794no—
1259C22⋊Q8—792no—
1260C22⋊Q8—794no—
1261C22⋊Q8—792no—
1262C22⋊Q8—794no—
1263C22⋊Q8—794no—
1264C22⋊Q8—794no—
1265C22⋊Q8—794no—
1266C22⋊Q8—794no—
1267C22⋊Q8—794no—
1268C22⋊Q8—794no—
1269C22⋊Q8—794no—
1270C22⋊Q8—794no—
1271C22⋊Q8—794no—
1272C22⋊Q8—794no—
1273C22⋊Q8—794no—
1274C22⋊Q8—794no—
1275C22⋊Q8—794no—
1276C22⋊Q8—794no—
1277C22⋊Q8—794no—
1278C22⋊Q8—794no—
1279C22⋊Q8—794no—
1280C22⋊Q8—794no—
1281C22⋊Q8—794no—
1282C22⋊Q8—794no—
1283C22⋊Q8—794no—
1284C22⋊Q8—794no—
1285C22⋊Q8—794no—
1286C22⋊Q8—794no—
1287C22⋊Q8—794no—
1288C22⋊Q8—794no—
1289C22⋊Q8—794no—
1290C22⋊Q8—794no—
1291C22⋊Q8C22×D7914yes—
1292C22⋊Q8C22×D7914yes—
1293C22⋊Q8C22×D7912yes—
1294C22⋊Q8C22×D7914yes—
1295C22⋊Q8C22×D7914yes—
1296C22⋊Q8C22×D7914yes—
1297C22⋊Q8C22×D7914yes—
1298#121—794no—
1299#121—794no—
1300#121—794no—
1301#121—792no—
1302#121—792no—
1303#121—794no—
1304#121—794no—
1305#121—794no—
1306#121—794no—
1307#121—794no—
1308#121—794no—
1309#121—794no—
1310#121—794no—
1311#121—794no—
1312#121—794no—
1313#121—794no—
1314#121—794no—
1315#121—794no—
1316#121—792no—
1317#121—792no—
1318#121—794no—
1319#121—794no—
1320#121—794no—
1321#121—794no—
1322#121—794no—
1323#121—794no—
1324#121—794no—
1325#121—794no—
1326#121—794no—
1327#121—794no—
1328#121—794no—
1329#121—794no—
1330#121C22×D7912yes—
1331#121C22×D7914yes—
1332#121C22×D7914yes—
1333C4×Q8—792no—
1334C4×Q8—794no—
1335C4×Q8—792no—
1336C4×Q8—794no—
1337C4×Q8—794no—
1338C4×Q8—794no—
1339C4×Q8—794no—
1340C4×Q8—792no—
1341C4×Q8—792no—
1342C4×Q8—794no—
1343C4×Q8—794no—
1344C4×Q8—792no—
1345C4×Q8—794no—
1346C4×Q8—794no—
1347C4×Q8—794no—
1348C4×Q8—794no—
1349C4×Q8C22×D7914yes—
1350C4×Q8C22×D7912yes—
1351C4×D4—794no—
1352C4×D4—792no—
1353C4×D4—792no—
1354C4×D4—794no—
1355C4×D4—794no—
1356C4×D4—794no—
1357C4×D4—792no—
1358C4×D4—792no—
1359C4×D4—794no—
1360C4×D4—794no—
1361C4×D4—794no—
1362C4×D4—794no—
1363C4×D4—794no—
1364C4×D4—794no—
1365C4×D4—794no—
1366C4×D4—792no—
1367C4×D4—792no—
1368C4×D4—794no—
1369C4×D4—794no—
1370C4×D4—794no—
1371C4×D4—794no—
1372C4×D4—794no—
1373C4×D4—794no—
1374C4×D4—794no—
1375C4×D4—794no—
1376C4×D4—794no—
1377C4×D4—794no—
1378C4×D4—794no—
1379C4×D4—794no—
1380C4×D4—794no—
1381C4×D4—794no—
1382C4×D4—794no—
1383C4×D4—794no—
1384C4×D4—792no—
1385C4×D4—794no—
1386C4×D4—794no—
1387C4×D4—794no—
1388C4×D4—794no—
1389C4×D4—794no—
1390C4×D4C22×D7914yes—
1391C4×D4C22×D7914yes—
1392C4×D4C22×D7914yes—
1393C4×D4C22×D7914yes—
1394C4×D4C22×D7912yes—
1395#117—791no—
1396#117—794no—
1397#117—794no—
1398#117—794no—
1399#117—794no—
1400#117—792no—
1401#117—794no—
1402#117—792no—
1403#117—794no—
1404#117—794no—
1405#117—794no—
1406#117—794no—
1407#117—794no—
1408#117—794no—
1409#117—794no—
1410#117—794no—
1411#117—794no—
1412#117—794no—
1413#117—792no—
1414#117—794no—
1415#117—794no—
1416#117—794no—
1417#117—794no—
1418#117—794no—
1419#117C22×D7914yes—
1420#117C22×D7914yes—
1421C2×C4⋊C4—794no—
1422C2×C4⋊C4—794no—
1423C2×C4⋊C4—794no—
1424C2×C4⋊C4—794no—
1425C2×C4⋊C4—794no—
1426C2×C4⋊C4—794no—
1427C2×C4⋊C4—792no—
1428C2×C4⋊C4—794no—
1429C2×C4⋊C4—792no—
1430C2×C4⋊C4—794no—
1431C2×C4⋊C4—794no—
1432C2×C4⋊C4—794no—
1433C2×C4⋊C4—794no—
1434C2×C4⋊C4—794no—
1435C2×C4⋊C4—794no—
1436C2×C4⋊C4—794no—
1437C2×C4⋊C4—792no—
1438C2×C4⋊C4—794no—
1439C2×C4⋊C4—792no—
1440C2×C4⋊C4—794no—
1441C2×C4⋊C4—794no—
1442C2×C4⋊C4—794no—
1443C2×C4⋊C4C22×D7912yes—
1444C2×C4⋊C4C22×D7914yes—
1445C2×C4⋊C4C22×D7914yes—
1446C2×C42—794no—
1447C2×C42—794no—
1448C2×C42—794no—
1449C2×C42—792no—
1450C2×C42C22×D7911yescharacteristic
1451#41—3162no—
1452#41—3164no—
1453#41—3168no—
1454#41—3168no—
1455#41—3168no—
1456C2×Q8—794no—
1457C2×Q8—791no—
1458C2×Q8—794no—
1459C2×Q8—792no—
1460C2×Q8—794no—
1461C2×Q8—794no—
1462C2×Q8C23×D7912yes—
1463C2×Q8C23×D7914yes—
1464C2×D4—794no—
1465C2×D4—794no—
1466C2×D4—794no—
1467C2×D4—794no—
1468C2×D4—794no—
1469C2×D4—794no—
1470C2×D4—792no—
1471C2×D4—794no—
1472C2×D4—794no—
1473C2×D4—794no—
1474C2×D4—794no—
1475C2×D4—791no—
1476C2×D4—792no—
1477C2×D4C23×D7914yes—
1478C2×D4C23×D7912yes—
1479C2×D4C23×D7914yes—
1480C22×C4—794no—
1481C22×C4—794no—
1482C22×C4—794no—
1483C22×C4—794no—
1484C22×C4—794no—
1485C22×C4—794no—
1486C22×C4—792no—
1487C22×C4—792no—
1488C22×C4—794no—
1489C22×C4—792no—
1490C22×C4—794no—
1491C22×C4—794no—
1492C22×C4—794no—
1493C22×C4—794no—
1494C22×C4—794no—
1495C22×C4—794no—
1496C22×C4—794no—
1497C22×C4—794no—
1498C22×C4C23×D7911yescharacteristic
1499C22×C4C23×D7914yes—
1500C22×C4C23×D7914yes—
1501C22×C4C23×D7912yes—
1502C22×C4C23×D7914yes—
1503C22×C4C23×D7914yes—
1504C4⋊C4—794no—
1505C4⋊C4—794no—
1506C4⋊C4—794no—
1507C4⋊C4—792no—
1508C4⋊C4—794no—
1509C4⋊C4—794no—
1510C4⋊C4—794no—
1511C4⋊C4—794no—
1512C4⋊C4—794no—
1513C4⋊C4—794no—
1514C4⋊C4—794no—
1515C4⋊C4—794no—
1516C4⋊C4—794no—
1517C4⋊C4—794no—
1518C4⋊C4—794no—
1519C4⋊C4—794no—
1520C4⋊C4—794no—
1521C4⋊C4—794no—
1522C4⋊C4—794no—
1523C4⋊C4—794no—
1524C4⋊C4—794no—
1525C4⋊C4—794no—
1526C4⋊C4—794no—
1527C4⋊C4—794no—
1528C4⋊C4—794no—
1529C4⋊C4—794no—
1530C4⋊C4—794no—
1531C4⋊C4—794no—
1532C4⋊C4—794no—
1533C4⋊C4—794no—
1534C4⋊C4—792no—
1535C4⋊C4—794no—
1536C4⋊C4—792no—
1537C4⋊C4—794no—
1538C4⋊C4—794no—
1539C4⋊C4—794no—
1540C4⋊C4—794no—
1541C4⋊C4—794no—
1542C4⋊C4—792no—
1543C4⋊C4—792no—
1544C4⋊C4—794no—
1545C4⋊C4—794no—
1546C4⋊C4—794no—
1547C4⋊C4—794no—
1548C4⋊C4—794no—
1549C4⋊C4—794no—
1550C4⋊C4—792no—
1551C4⋊C4—794no—
1552C4⋊C4—794no—
1553C4⋊C4—792no—
1554C4⋊C4—794no—
1555C4⋊C4—794no—
1556C4⋊C4—794no—
1557C4⋊C4—794no—
1558C4⋊C4C23×D7914yes—
1559C4⋊C4C23×D7914yes—
1560C4⋊C4C23×D7912yes—
1561C4⋊C4C23×D7912yes—
1562C4⋊C4C23×D7914yes—
1563C4⋊C4C23×D7914yes—
1564C4⋊C4C23×D7914yes—
1565C4⋊C4C23×D7914yes—
1566C4⋊C4C23×D7914yes—
1567C4⋊C4C23×D7914yes—
1568C4⋊C4C23×D7914yes—
1569C4⋊C4C23×D7914yes—
1570C4⋊C4C23×D7914yes—
1571C4⋊C4C23×D7914yes—
1572C4⋊C4C23×D7914yes—
1573C4⋊C4C23×D7914yes—
1574C4⋊C4C23×D7912yes—
1575C4⋊C4C23×D7912yes—
1576C4⋊C4C23×D7914yes—
1577C22⋊C4—791no—
1578C22⋊C4—794no—
1579C22⋊C4—794no—
1580C22⋊C4—794no—
1581C22⋊C4—794no—
1582C22⋊C4—791no—
1583C22⋊C4—794no—
1584C22⋊C4—794no—
1585C22⋊C4—794no—
1586C22⋊C4—792no—
1587C22⋊C4—794no—
1588C22⋊C4—794no—
1589C22⋊C4—794no—
1590C22⋊C4—794no—
1591C22⋊C4—794no—
1592C22⋊C4—794no—
1593C22⋊C4—794no—
1594C22⋊C4—794no—
1595C22⋊C4—794no—
1596C22⋊C4—792no—
1597C22⋊C4—794no—
1598C22⋊C4—794no—
1599C22⋊C4—794no—
1600C22⋊C4—794no—
1601C22⋊C4—794no—
1602C22⋊C4—794no—
1603C22⋊C4—794no—
1604C22⋊C4—794no—
1605C22⋊C4—794no—
1606C22⋊C4—794no—
1607C22⋊C4C23×D7914yes—
1608C22⋊C4C23×D7914yes—
1609C22⋊C4C23×D7914yes—
1610C22⋊C4C23×D7914yes—
1611C22⋊C4C23×D7914yes—
1612C22⋊C4C23×D7914yes—
1613C22⋊C4C23×D7914yes—
1614C22⋊C4C23×D7914yes—
1615C22⋊C4C23×D7914yes—
1616C42—794no—
1617C42—794no—
1618C42—792no—
1619C42—794no—
1620C42—794no—
1621C42—792no—
1622C42—794no—
1623C42—794no—
1624C42—792no—
1625C42—794no—
1626C42—794no—
1627C42—794no—
1628C42—794no—
1629C42—794no—
1630C42—794no—
1631C42C23×D7911yescharacteristic
1632C42C23×D7914yes—
1633C42C23×D7911yescharacteristic
1634C42C23×D7912yes—
1635C42C23×D7914yes—
1636C42C23×D7914yes—
1637C23—794no—
1638C23—792no—
1639C23C24×D7914yes—
1640C23C24×D7911yescharacteristic
1641Q8—44no—
1642Q8—42no—
1643Q8—3161no—
1644Q8—3162no—
1645Q8—3164no—
1646Q8—3164no—
1647Q8—3164no—
1648Q8—3164no—
1649D4—28no—
1650D4—44no—
1651D4—42no—
1652D4—3161no—
1653D4—3162no—
1654D4—3164no—
1655D4—3164no—
1656D4—3164no—
1657D4—3164no—
1658D4—3164no—
1659D4—3164no—
1660D4—3164no—
1661D4—3164no—
1662D4—3164no—
1663D4—1584no—
1664D4—1588no—
1665C2×C4—22no—
1666C2×C4—44no—
1667C2×C4—42no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—3164no—
1672C2×C4—3162no—
1673C2×C4—3164no—
1674C2×C4—3164no—
1675C2×C4—3164no—
1676C2×C4—3164no—
1677C2×C4—3164no—
1678C2×C4—3164no—
1679C2×C4—3162no—
1680C2×C4—3162no—
1681C2×C4—3164no—
1682C2×C4—3164no—
1683C2×C4—3164no—
1684C2×C4—3164no—
1685C2×C4—3164no—
1686C2×C4—3164no—
1687C2×C4—3164no—
1688C2×C4—792no—
1689C2×C4—792no—
1690C2×C4—794no—
1691C2×C4—794no—
1692C2×C4—792no—
1693C2×C4—794no—
1694C2×C4—794no—
1695C2×C4—794no—
1696C2×C4—1588no—
1697C2×C4C24×D7914yes—
1698C2×C4C24×D7914yes—
1699C2×C4C24×D7914yes—
1700C2×C4C24×D7914yes—
1701C2×C4C24×D7912yes—
1702C2×C4C24×D7911yescharacteristic
1703C2×C4C24×D7914yes—
1704C2×C4C24×D7912yes—
1705C2×C4C24×D7911yescharacteristic
1706C22—22no—
1707C22—24no—
1708C22—24no—
1709C22—24no—
1710C22—1584no—
1711C22—1582no—
1712C22—1582no—
1713C22—1584no—
1714C22—1584no—
1715C22—1582no—
1716C22#1909940012yes—
1717C22C25×D7911yescharacteristic
1718C4—21no—
1719C4—21no—
1720C4—24no—
1721C4—22no—
1722C4—24no—
1723C4—24no—
1724C4—24no—
1725C4—22no—
1726C4—24no—
1727C4—1584no—
1728C4—1584no—
1729C4—1582no—
1730C4—1584no—
1731C4—1582no—
1732C4—1584no—
1733C4—1584no—
1734C4—1582no—
1735C2—22no—
1736C2—44no—
1737C2—3162no—
1738C2—3164no—
1739C2C2×#1909940011yescharacteristic
1740C2#2377821312yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3553C2
hypercenter#3553D79
hypocenterC79#63068
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3553

Complements

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

NH ≅ G/Ntype
1. #23778089C2semidirect
2. #23778087C2semidirect
3. #23778086C2semidirect
4. #23778009C2semidirect
5. #23778005C2semidirect
6. #23778001C2semidirect
7. #23777936C2semidirect
8. #23777932C2semidirect
9. #23777931C2semidirect
10. #23777854C2semidirect
11. #23777852C2semidirect
12. #23777851C2semidirect
13. #23777850C2semidirect
14. #23777546C2semidirect
15. C2×C79⋊#564C2semidirect
16. #23777379C2semidirect
17. #23777370C2semidirect
18. #23777366C2semidirect
19. #23777324C2semidirect
20. #23777316C2semidirect
21. C79×#3553C2semidirect
884. #3553D79semidirect
892. C79#63068semidirect

Maximal subgroups

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

subgroupindex
#237780892
#237780872
#237780862
#237780092
#237780052
#237780012
#237779362
#237779322
#237779312
#237778542
#237778522
#237778512
#237778502
#237775462
C2×C79⋊#5642
#237773792
#237773702
#237773662
#237773242
#237773162
C79×#35532
#6306879