Finite Group Databasebeta

← #35201992

Subgroups — #35201992

Order 20224.

6184 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778008C214yesmaximal, complemented
2#23778008C214yesmaximal, complemented
3#23778007C214yesmaximal, complemented
4#23778004C214yesmaximal, complemented
5#23778003C212yesmaximal, complemented
6#23778000C212yesmaximal, complemented
7#23778000C212yesmaximal, complemented
8#23777998C214yesmaximal, complemented
9#23777997C214yesmaximal, complemented
10#23777894C211yesmaximal, characteristic, complemented
11#23777893C214yesmaximal, complemented
12#23777855C211yesmaximal, characteristic, complemented
13#23777849C214yesmaximal, complemented
14#23777848C214yesmaximal, complemented
15#23777544C211yesmaximal, characteristic, complemented
16C2×C79⋊#564C211yesmaximal, characteristic, complemented
17#564×D79C211yesmaximal, characteristic, complemented
18#23777371C214yesmaximal, complemented
19#23777370C214yesmaximal, complemented
20#23777366C212yesmaximal, complemented
21#23777224C211yesmaximal, characteristic, complemented
22#23777220C214yesmaximal, complemented
23C79×#3553C211yesmaximal, characteristic, complemented
24C79⋊#564C2211yescharacteristic
25C79⋊#564C2214yes—
26C79⋊#564C2214yes—
27C79⋊#564C2212yes—
28C79⋊#564C2214yes—
29C79⋊#564C2214yes—
30C79⋊#564C2211yescharacteristic
31C79⋊#564C2214yes—
32C79⋊#564C2214yes—
33C79⋊#564C2212yes—
34C79⋊#564C2214yes—
35C79⋊#564C2214yes—
36C79⋊#564C2212yes—
37#19099316C2214yes—
38#19099316C2214yes—
39#19099316C2214yes—
40#19099315C2214yes—
41#19099314C2214yes—
42#19099314C2214yes—
43#19099313C2212yes—
44#19099313C2212yes—
45#19099308C2214yes—
46#19099291C2214yes—
47#19099291C2214yes—
48#19099290C2214yes—
49#19099290C2214yes—
50#19099290C2214yes—
51#19099290C2214yes—
52#19099290C2214yes—
53#19099290C2214yes—
54#19099290C2214yes—
55#19099289C2212yes—
56#19099289C2214yes—
57#19099288C2214yes—
58#19099288C2214yes—
59#19099272C2214yes—
60#19099272C2214yes—
61#19099272C2212yes—
62#19099272C2214yes—
63#19099271C2214yes—
64#19099271C2212yes—
65#19099270C2214yes—
66#19099269C2214yes—
67#19099268C2214yes—
68#19099268C2214yes—
69#19099268C2214yes—
70#19099267C2214yes—
71#19099267C2214yes—
72#19099267C2214yes—
73#19099267C2214yes—
74#19099265C2212yes—
75#19099263C2212yes—
76#19099260C2214yes—
77#19099258C2214yes—
78#19099256C2214yes—
79#19099255C2212yes—
80#19099255C2214yes—
81#19099254C2212yes—
82#19099253C2214yes—
83#19099253C2214yes—
84#19099253C2214yes—
85#19099253C2214yes—
86#19099253C2214yes—
87#19099252C2214yes—
88#19099252C2214yes—
89#19099250C2214yes—
90#19099250C2214yes—
91#19099250C2214yes—
92#19099250C2214yes—
93#19099250C2214yes—
94#19099250C2214yes—
95#19099250C2214yes—
96#19099250C2214yes—
97#19099250C2214yes—
98#19099249C2214yes—
99#19099249C2214yes—
100#19099249C2214yes—
101#19099249C2214yes—
102#19099249C2214yes—
103#19099248C2214yes—
104#19099247C2214yes—
105#19099247C2214yes—
106#19099246C2214yes—
107#19099246C2214yes—
108#19099245C2214yes—
109#19099213C2212yes—
110#19099213C2214yes—
111#19099211C2214yes—
112#19099194C2212yes—
113#19099194C2214yes—
114#19099193C2214yes—
115#19099193C2212yes—
116#19099193C2212yes—
117#19099192C2214yes—
118#19099192C2214yes—
119#19099192C2214yes—
120#19099192C2214yes—
121#19099192C2214yes—
122#19099192C2214yes—
123#19099191C2214yes—
124#19099190C2214yes—
125#19099190C2214yes—
126#19099175C2214yes—
127#19099175C2214yes—
128#19099173C2214yes—
129#19099173C2214yes—
130#19099173C2214yes—
131#19099173C2214yes—
132#19099173C2214yes—
133#19099172C2214yes—
134#19099172C2214yes—
135#19099172C2214yes—
136#19099172C2214yes—
137#19099171C2214yes—
138#19099170C2214yes—
139#19099170C2214yes—
140#19099170C2214yes—
141#19099170C2214yes—
142#19099170C2214yes—
143#19099170C2214yes—
144#19099170C2214yes—
145#19099170C2214yes—
146#19099170C2214yes—
147#19099170C2214yes—
148#19099170C2214yes—
149#19099170C2214yes—
150#19099159C2214yes—
151#19099158C2214yes—
152#19099158C2214yes—
153#19099158C2214yes—
154#19099157C2214yes—
155#19099156C2214yes—
156#19099156C2214yes—
157#19099156C2214yes—
158#19099156C2214yes—
159#19099155C2214yes—
160#19099155C2214yes—
161#19099155C2214yes—
162#19099154C2214yes—
163#19099120C2211yescharacteristic
164#19099119C2211yescharacteristic
165#19099119C2212yes—
166#19099119C2211yescharacteristic
167#19099117C2214yes—
168#19099116C2214yes—
169#19099115C2214yes—
170#19099115C2214yes—
171#19099115C2214yes—
172#19099096C2214yes—
173#19099095C2214yes—
174#19099094C2214yes—
175#19099094C2214yes—
176#19099093C2214yes—
177#19099092C2212yes—
178#19099092C2212yes—
179#19099090C2214yes—
180C2×#14579153C2212yes—
181C2×#14579152C2214yes—
182C2×#14579151C2214yes—
183C2×#14579151C2214yes—
184C2×#14579151C2214yes—
185#125×D79C2214yes—
186#125×D79C2211yescharacteristic
187#125×D79C2212yes—
188#125×D79C2214yes—
189#125×D79C2214yes—
190#125×D79C2211yescharacteristic
191#19099044C2212yes—
192#19099042C2214yes—
193#19099042C2214yes—
194C4×#11929624C2211yescharacteristic
195C4×#11929623C2214yes—
196#564×C79C2211yescharacteristic
197#563×C79C2212yes—
198#562×C79C2211yescharacteristic
199#554×C79C2214yes—
200#553×C79C2214yes—
201#552×C79C2214yes—
202#541×C79C2214yes—
203#539×C79C2214yes—
204#539×C79C2214yes—
205#529×C79C2212yes—
206C2×#125×C79C2211yescharacteristic
207C2×#11929624C2311yescharacteristic
208C2×#11929623C2314yes—
209#14579161C2312yes—
210#14579161C2314yes—
211#14579160C2314yes—
212#14579160C2312yes—
213#14579160C2314yes—
214#14579160C2312yes—
215#14579160C2314yes—
216#14579160C2314yes—
217#14579160C2314yes—
218#14579160C2314yes—
219#14579160C2314yes—
220#14579160C2314yes—
221#14579160C2314yes—
222#14579160C2314yes—
223#14579160C2312yes—
224#14579160C2314yes—
225#14579160C2314yes—
226#14579160C2312yes—
227#14579159C2314yes—
228#14579159C2314yes—
229#14579159C2314yes—
230#14579159C2314yes—
231#14579159C2314yes—
232#14579159C2314yes—
233#14579156C2314yes—
234#14579156C2314yes—
235#14579156C2314yes—
236#14579156C2314yes—
237#14579156C2314yes—
238#14579155C2314yes—
239#14579155C2314yes—
240#14579154C2314yes—
241#14579154C2314yes—
242#14579154C2314yes—
243#14579154C2314yes—
244#14579154C2314yes—
245#14579154C2314yes—
246#14579154C2314yes—
247#14579154C2314yes—
248#14579154C2314yes—
249#14579154C2314yes—
250#14579154C2314yes—
251#14579154C2314yes—
252#14579154C2314yes—
253#14579154C2314yes—
254#14579154C2314yes—
255#14579154C2314yes—
256#14579154C2314yes—
257#14579154C2314yes—
258#14579154C2314yes—
259#14579154C2314yes—
260#14579154C2314yes—
261#14579154C2314yes—
262#14579154C2314yes—
263#14579153C2314yes—
264#14579153C2314yes—
265#14579153C2314yes—
266#14579153C2314yes—
267#14579153C2314yes—
268#14579153C2314yes—
269#14579153C2312yes—
270#14579153C2312yes—
271#14579153C2314yes—
272#14579153C2314yes—
273#14579153C2314yes—
274#14579153C2311yescharacteristic
275#14579153C2311yescharacteristic
276#14579153C2312yes—
277#14579153C2312yes—
278#14579152C2314yes—
279#14579152C2314yes—
280#14579152C2314yes—
281#14579152C2314yes—
282#14579152C2314yes—
283#14579152C2314yes—
284#14579152C2312yes—
285#14579152C2312yes—
286#14579152C2314yes—
287#14579152C2314yes—
288#14579152C2314yes—
289#14579152C2314yes—
290#14579152C2314yes—
291#14579152C2314yes—
292#14579152C2314yes—
293#14579152C2314yes—
294#14579152C2314yes—
295#14579152C2312yes—
296#14579152C2314yes—
297#14579152C2314yes—
298#14579152C2314yes—
299#14579152C2312yes—
300#14579152C2314yes—
301#14579152C2314yes—
302#14579152C2314yes—
303#14579151C2314yes—
304#14579151C2314yes—
305#14579151C2314yes—
306#14579151C2314yes—
307#14579151C2314yes—
308#14579151C2314yes—
309#14579151C2314yes—
310#14579151C2314yes—
311#14579151C2314yes—
312#14579151C2314yes—
313#14579151C2314yes—
314#14579151C2314yes—
315#14579151C2314yes—
316#14579151C2314yes—
317#14579151C2314yes—
318#14579151C2314yes—
319#14579151C2314yes—
320#14579151C2314yes—
321#14579151C2314yes—
322#14579151C2314yes—
323#14579151C2314yes—
324#14579151C2314yes—
325#14579151C2314yes—
326#14579151C2314yes—
327#14579151C2314yes—
328#14579151C2314yes—
329#14579151C2314yes—
330#14579151C2314yes—
331#14579151C2314yes—
332#14579151C2314yes—
333#14579151C2314yes—
334#14579151C2314yes—
335#14579151C2314yes—
336#14579151C2314yes—
337#14579151C2314yes—
338#14579151C2314yes—
339#14579151C2314yes—
340#14579151C2314yes—
341#14579151C2314yes—
342#14579151C2314yes—
343#14579151C2314yes—
344#14579151C2314yes—
345#14579151C2314yes—
346#14579151C2314yes—
347#14579151C2314yes—
348#14579151C2314yes—
349#14579151C2314yes—
350#14579151C2314yes—
351#14579151C2314yes—
352#14579151C2314yes—
353#14579151C2314yes—
354#14579151C2314yes—
355#14579151C2314yes—
356#14579148C2314yes—
357#14579147C2314yes—
358#14579146C2314yes—
359#14579145C2314yes—
360#14579145C2314yes—
361#14579144C2314yes—
362#14579144C2314yes—
363#14579143C2314yes—
364#14579143C2314yes—
365#14579143C2314yes—
366#14579143C2314yes—
367#14579143C2314yes—
368#14579143C2314yes—
369#14579143C2314yes—
370#14579142C2314yes—
371#14579142C2314yes—
372#14579142C2314yes—
373#14579142C2314yes—
374#14579142C2314yes—
375#14579142C2314yes—
376#14579142C2314yes—
377#14579142C2314yes—
378#14579141C2314yes—
379#14579141C2314yes—
380#14579141C2314yes—
381#14579140C2314yes—
382#14579140C2314yes—
383#14579140C2314yes—
384#14579140C2314yes—
385#14579140C2314yes—
386#14579140C2314yes—
387#14579140C2314yes—
388#14579140C2314yes—
389#14579140C2314yes—
390#14579140C2314yes—
391#14579140C2314yes—
392#14579139C2314yes—
393#14579139C2314yes—
394#14579139C2314yes—
395#14579139C2314yes—
396#14579139C2314yes—
397#14579139C2314yes—
398#14579139C2314yes—
399#14579139C2314yes—
400#14579139C2314yes—
401#14579138C2314yes—
402#14579138C2314yes—
403#14579138C2314yes—
404#14579138C2314yes—
405#14579138C2314yes—
406#14579138C2314yes—
407#14579138C2314yes—
408#14579138C2314yes—
409#14579138C2314yes—
410#14579138C2314yes—
411#14579138C2314yes—
412#14579138C2314yes—
413#14579138C2314yes—
414#14579138C2314yes—
415#14579138C2314yes—
416#14579138C2314yes—
417#14579138C2314yes—
418#14579138C2314yes—
419#14579138C2314yes—
420#14579138C2314yes—
421#14579137C2314yes—
422#14579137C2314yes—
423#14579137C2312yes—
424#14579137C2312yes—
425#14579134C2314yes—
426#14579133C2314yes—
427#14579133C2314yes—
428#14579132C2314yes—
429#14579132C2312yes—
430#14579132C2312yes—
431Q8×Dic79C2314yes—
432Q8×Dic79C2314yes—
433Q8×Dic79C2312yes—
434Q8×Dic79C2312yes—
435C4×Dic158C2314yes—
436C4×Dic158C2312yes—
437C4×Dic158C2314yes—
438C4×Dic158C2314yes—
439C4×Dic158C2314yes—
440C4×Dic158C2314yes—
441C4×Dic158C2314yes—
442C4×Dic158C2314yes—
443C4×Dic158C2314yes—
444C4×Dic158C2314yes—
445C4×Dic158C2314yes—
446C4×Dic158C2314yes—
447#14579126C2314yes—
448#14579126C2314yes—
449#14579126C2314yes—
450#14579126C2314yes—
451#14579126C2314yes—
452#14579126C2314yes—
453#14579126C2314yes—
454#14579126C2314yes—
455#14579126C2314yes—
456#14579126C2314yes—
457#14579126C2314yes—
458#14579126C2314yes—
459#14579126C2314yes—
460#14579126C2314yes—
461C4×D316C2312yes—
462D4×Dic79C2314yes—
463D4×Dic79C2312yes—
464D4×Dic79C2314yes—
465D4×Dic79C2314yes—
466D4×Dic79C2314yes—
467D4×Dic79C2314yes—
468D4×Dic79C2312yes—
469#14579123C2314yes—
470C4×C22⋊D79C2312yes—
471C4×C22⋊D79C2314yes—
472C4×C22⋊D79C2314yes—
473C4×C22⋊D79C2314yes—
474C4×C22⋊D79C2314yes—
475C4×C22⋊D79C2314yes—
476C4×C22⋊D79C2314yes—
477C4×C22⋊D79C2312yes—
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#14579120C2314yes—
485#14579120C2314yes—
486#14579120C2314yes—
487#14579120C2314yes—
488#14579120C2311yescharacteristic
489#14579120C2312yes—
490#14579119C2312yes—
491#14579119C2312yes—
492#14579119C2312yes—
493#14579119C2314yes—
494#14579119C2314yes—
495#14579119C2312yes—
496#14579118C2314yes—
497#14579118C2314yes—
498#14579118C2311yescharacteristic
499#14579118C2311yescharacteristic
500#14579118C2314yes—
501#14579117C2314yes—
502#14579117C2314yes—
503#14579117C2314yes—
504#14579117C2314yes—
505#14579117C2314yes—
506#14579117C2314yes—
507#14579117C2314yes—
508#14579117C2314yes—
509#14579117C2314yes—
510#14579117C2314yes—
511#14579117C2314yes—
512#14579117C2314yes—
513C2×C4⋊Dic79C2314yes—
514C2×C4⋊Dic79C2314yes—
515C2×C4⋊Dic79C2312yes—
516C2×C4⋊Dic79C2312yes—
517C2×Dic79⋊C4C2314yes—
518C2×Dic79⋊C4C2314yes—
519C2×Dic79⋊C4C2314yes—
520C2×Dic79⋊C4C2314yes—
521C2×Dic79⋊C4C2314yes—
522C2×Dic79⋊C4C2314yes—
523C2×Dic79⋊C4C2314yes—
524C2×Dic79⋊C4C2314yes—
525C4⋊C4×D79C2314yes—
526C4⋊C4×D79C2312yes—
527C4⋊C4×D79C2314yes—
528C4⋊C4×D79C2314yes—
529C4⋊C4×D79C2312yes—
530C4⋊C4×D79C2314yes—
531C4⋊C4×D79C2314yes—
532C4⋊C4×D79C2312yes—
533C4⋊C4×D79C2314yes—
534C4⋊C4×D79C2314yes—
535C4⋊C4×D79C2312yes—
536C2×C4×Dic79C2314yes—
537C2×C4×Dic79C2314yes—
538C42×D79C2314yes—
539C42×D79C2311yescharacteristic
540C42×D79C2311yescharacteristic
541C4⋊Q8×C79C2314yes—
542#126×C79C2314yes—
543#126×C79C2314yes—
544#126×C79C2314yes—
545#126×C79C2314yes—
546#126×C79C2314yes—
547#125×C79C2314yes—
548#125×C79C2314yes—
549#125×C79C2314yes—
550#125×C79C2314yes—
551#125×C79C2312yes—
552#125×C79C2314yes—
553#125×C79C2314yes—
554#125×C79C2311yescharacteristic
555#125×C79C2311yescharacteristic
556#125×C79C2312yes—
557#124×C79C2312yes—
558#123×C79C2314yes—
559#123×C79C2314yes—
560#123×C79C2314yes—
561#123×C79C2314yes—
562#123×C79C2314yes—
563C22⋊Q8×C79C2314yes—
564C22⋊Q8×C79C2314yes—
565C22⋊Q8×C79C2314yes—
566C22⋊Q8×C79C2314yes—
567C22⋊Q8×C79C2314yes—
568C22⋊Q8×C79C2312yes—
569C22⋊Q8×C79C2314yes—
570#121×C79C2312yes—
571#121×C79C2314yes—
572#121×C79C2314yes—
573C4×Q8×C79C2314yes—
574C4×Q8×C79C2312yes—
575C4×D4×C79C2314yes—
576C4×D4×C79C2314yes—
577C4×D4×C79C2314yes—
578C4×D4×C79C2312yes—
579C4×D4×C79C2314yes—
580#117×C79C2314yes—
581#117×C79C2314yes—
582C2×C4⋊C4×C79C2312yes—
583C2×C4⋊C4×C79C2314yes—
584C2×C4⋊C4×C79C2314yes—
585C2×C42×C79C2311yescharacteristic
586#11929624—24no—
587#11929623—216no—
588C2×Dic158C2414yes—
589C2×Dic158C2411yescharacteristic
590C2×Dic158C2414yes—
591C2×Dic158C2414yes—
592C2×Dic158C2414yes—
593C2×Dic158C2414yes—
594C2×Dic158C2414yes—
595C2×Dic158C2414yes—
596C2×D316C2411yescharacteristic
597C2×C22⋊D79C2414yes—
598C2×C22⋊D79C2411yescharacteristic
599C2×C22⋊D79C2414yes—
600C2×C22⋊D79C2411yescharacteristic
601C22×Dic79C2414yes—
602C22×Dic79C2414yes—
603C22×Dic79C2414yes—
604C22×Dic79C2414yes—
605C22×Dic79C2414yes—
606C22×Dic79C2414yes—
607C2×C4×D79C2414yes—
608C2×C4×D79C2411yescharacteristic
609C2×C4×D79C2411yescharacteristic
610C2×C4×D79C2414yes—
611C2×C4×D79C2412yes—
612C2×C4×D79C2414yes—
613C2×C4×D79C2412yes—
614C2×C4×D79C2414yes—
615C4⋊Dic79C2412yes—
616C4⋊Dic79C2412yes—
617C4⋊Dic79C2414yes—
618C4⋊Dic79C2412yes—
619C4⋊Dic79C2414yes—
620C4⋊Dic79C2414yes—
621C4⋊Dic79C2414yes—
622C4⋊Dic79C2414yes—
623C4⋊Dic79C2414yes—
624C4⋊Dic79C2414yes—
625C4⋊Dic79C2414yes—
626C4⋊Dic79C2412yes—
627C4⋊Dic79C2412yes—
628C4⋊Dic79C2414yes—
629C4⋊Dic79C2414yes—
630C4⋊Dic79C2414yes—
631C4⋊Dic79C2414yes—
632C4⋊Dic79C2414yes—
633C4⋊Dic79C2414yes—
634C4⋊Dic79C2412yes—
635C4⋊Dic79C2414yes—
636C4⋊Dic79C2412yes—
637C4⋊Dic79C2414yes—
638C4⋊Dic79C2414yes—
639Dic79⋊C4C2414yes—
640Dic79⋊C4C2414yes—
641Dic79⋊C4C2414yes—
642Dic79⋊C4C2414yes—
643Dic79⋊C4C2414yes—
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⋊C4C2412yes—
658Dic79⋊C4C2414yes—
659Dic79⋊C4C2414yes—
660Dic79⋊C4C2414yes—
661Dic79⋊C4C2414yes—
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⋊C4C2414yes—
676Dic79⋊C4C2414yes—
677Dic79⋊C4C2414yes—
678Dic79⋊C4C2412yes—
679Dic79⋊C4C2414yes—
680Dic79⋊C4C2414yes—
681Dic79⋊C4C2414yes—
682Dic79⋊C4C2414yes—
683Dic79⋊C4C2414yes—
684Dic79⋊C4C2414yes—
685C22⋊Dic79C2414yes—
686C22⋊Dic79C2412yes—
687C22⋊Dic79C2414yes—
688C22⋊Dic79C2414yes—
689C22⋊Dic79C2414yes—
690C22⋊Dic79C2414yes—
691C22⋊Dic79C2414yes—
692C22⋊Dic79C2414yes—
693C22⋊Dic79C2414yes—
694C22⋊Dic79C2414yes—
695C22⋊Dic79C2414yes—
696C22⋊Dic79C2414yes—
697(C2×D79)⋊C4C2412yes—
698(C2×D79)⋊C4C2414yes—
699(C2×D79)⋊C4C2414yes—
700(C2×D79)⋊C4C2414yes—
701(C2×D79)⋊C4C2414yes—
702(C2×D79)⋊C4C2412yes—
703(C2×D79)⋊C4C2414yes—
704(C2×D79)⋊C4C2414yes—
705C4×Dic79C2414yes—
706C4×Dic79C2411yescharacteristic
707C4×Dic79C2414yes—
708C4×Dic79C2412yes—
709C4×Dic79C2411yescharacteristic
710C4×Dic79C2414yes—
711C4×Dic79C2412yes—
712C4×Dic79C2414yes—
713C4×Dic79C2414yes—
714C4×Dic79C2414yes—
715C4×Dic79C2414yes—
716C4×Dic79C2414yes—
717C4×Dic79C2414yes—
718C4×Dic79C2414yes—
719C4×Dic79C2414yes—
720C4×Dic79C2414yes—
721C4×Dic79C2414yes—
722C4×Dic79C2414yes—
723C4×Dic79C2414yes—
724C4×Dic79C2414yes—
725C4×Dic79C2414yes—
726C2×Q8×C79C2414yes—
727C2×Q8×C79C2412yes—
728C2×D4×C79C2414yes—
729C2×D4×C79C2414yes—
730C2×D4×C79C2412yes—
731C22×C4×C79C2411yescharacteristic
732C22×C4×C79C2412yes—
733C22×C4×C79C2414yes—
734C22×C4×C79C2414yes—
735C22×C4×C79C2414yes—
736C22×C4×C79C2414yes—
737C4⋊C4×C79C2414yes—
738C4⋊C4×C79C2414yes—
739C4⋊C4×C79C2414yes—
740C4⋊C4×C79C2414yes—
741C4⋊C4×C79C2414yes—
742C4⋊C4×C79C2412yes—
743C4⋊C4×C79C2414yes—
744C4⋊C4×C79C2414yes—
745C4⋊C4×C79C2414yes—
746C4⋊C4×C79C2412yes—
747C4⋊C4×C79C2414yes—
748C4⋊C4×C79C2414yes—
749C4⋊C4×C79C2412yes—
750C4⋊C4×C79C2414yes—
751C4⋊C4×C79C2414yes—
752C4⋊C4×C79C2414yes—
753C4⋊C4×C79C2412yes—
754C4⋊C4×C79C2414yes—
755C4⋊C4×C79C2414yes—
756C22⋊C4×C79C2414yes—
757C22⋊C4×C79C2414yes—
758C22⋊C4×C79C2414yes—
759C22⋊C4×C79C2414yes—
760C22⋊C4×C79C2414yes—
761C22⋊C4×C79C2414yes—
762C22⋊C4×C79C2414yes—
763C22⋊C4×C79C2414yes—
764C22⋊C4×C79C2414yes—
765C42×C79C2411yescharacteristic
766C42×C79C2412yes—
767C42×C79C2411yescharacteristic
768C42×C79C2414yes—
769C42×C79C2414yes—
770C42×C79C2414yes—
771C23×C79C2514yes—
772C23×C79C2511yescharacteristic
773C22×D79C2511yescharacteristic
774C22×D79C2511yescharacteristic
775Q8×C79—44no—
776Q8×C79—42no—
777D4×C79—28no—
778D4×C79—44no—
779D4×C79—42no—
780C2×C4×C79—22no—
781C2×C4×C79—44no—
782C2×C4×C79—42no—
783C2×C4×C79—44no—
784C2×C4×C79—44no—
785C2×C4×C79—44no—
786C2×C4×C79C2514yes—
787C2×C4×C79C2511yescharacteristic
788C2×C4×C79C2514yes—
789C2×C4×C79C2514yes—
790C2×C4×C79C2514yes—
791C2×C4×C79C2514yes—
792C2×C4×C79C2511yescharacteristic
793C2×C4×C79C2512yes—
794C2×C4×C79C2512yes—
795C22⋊D79—22no—
796C22⋊D79—28no—
797C22⋊D79—44no—
798C22⋊D792−1+414yes—
799C2×Dic79—28no—
800C2×Dic79—28no—
801C2×Dic79—44no—
802C2×Dic79—44no—
803C2×Dic79—44no—
804C2×Dic79—44no—
805C2×Dic79C2514yes—
806C2×Dic79C2512yes—
807C2×Dic79C2514yes—
808C2×Dic79C2511yescharacteristic
809C2×Dic79C2514yes—
810C2×Dic79C2514yes—
811C2×Dic79C2512yes—
812C2×Dic79C2514yes—
813C2×Dic79C2514yes—
814C2×Dic79C2511yescharacteristic
815D316—22no—
816C4×D79—28no—
817C4×D79—22no—
818C4×D79—22no—
819C4×D79—44no—
820C4×D79—42no—
821C4×D79—44no—
822C4×D79—44no—
823C4×D79—42no—
824Dic158—28no—
825Dic158—22no—
826Dic158—44no—
827Dic158—44no—
828Dic158—44no—
829Dic158—44no—
830Dic158—44no—
831Dic158—44no—
832C22×C79—22no—
833C22×C79—24no—
834C22×C79—24no—
835C22×C79—24no—
836C22×C79C2×2−1+412yes—
837C22×C79C2611yescharacteristic
838C2×D79—22no—
839C2×D79—21no—
840C2×D79—22no—
841C2×D79C2×2−1+412yes—
842C4×C79—21no—
843C4×C79—21no—
844C4×C79—24no—
845C4×C79—22no—
846C4×C79—24no—
847C4×C79—24no—
848C4×C79—24no—
849C4×C79—22no—
850C4×C79—24no—
851Dic79—21no—
852Dic79—24no—
853Dic79—24no—
854Dic79—24no—
855Dic79—22no—
856Dic79—24no—
857Dic79—24no—
858Dic79—22no—
859Dic79—24no—
860Dic79C2×2−1+412yes—
861#63067—791nomaximal, Sylow
862C2×C79—22no—
863C2×C79—44no—
864C2×C79C22×2−1+411yescharacteristic
865C2×C792−1+612yes—
866D79—22no—
867D79—41no—
868#3563—792no—
869#3563—792no—
870#3563—794no—
871#3563—794no—
872#3563—794no—
873#3563—794no—
874#3563—794no—
875#3563—794no—
876#3563—792no—
877#3556—791no—
878#3556—794no—
879#3553—791no—
880#3553—794no—
881#3553—794no—
882#3553D7911yescharacteristic, complemented
883#3531—791no—
884C2×#564—791no—
885C2×#564—791no—
886#3515—794no—
887#3515—794no—
888#3515—792no—
889#3504—794no—
890#3504—791no—
891C79#6306711yescharacteristic, complemented, Sylow
892#564—791no—
893#564—794no—
894#564—794no—
895#564—791no—
896#564—794no—
897#564—794no—
898#564—794no—
899#564—794no—
900#564—792no—
901#564—792no—
902#564—794no—
903#564—794no—
904#564—792no—
905#564C2×D7911yescharacteristic
906#563—794no—
907#563—792no—
908#563—792no—
909#563—794no—
910#563—794no—
911#563—794no—
912#563—794no—
913#563—794no—
914#563C2×D7912yes—
915#562—794no—
916#562C2×D7911yescharacteristic
917#557—794no—
918#557—794no—
919#557—794no—
920#557—794no—
921#557—794no—
922#557—794no—
923#557—794no—
924#557—794no—
925#557—794no—
926#557—792no—
927#557—794no—
928#557—794no—
929#557—794no—
930#554—794no—
931#554—794no—
932#554—794no—
933#554—794no—
934#554—794no—
935#554—792no—
936#554—794no—
937#554—794no—
938#554—794no—
939#554—794no—
940#554—794no—
941#554—792no—
942#554—794no—
943#554—794no—
944#554—794no—
945#554C2×D7914yes—
946#553—794no—
947#553—794no—
948#553—794no—
949#553—792no—
950#553—792no—
951#553C2×D7914yes—
952#552—794no—
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—794no—
969#552—794no—
970#552—792no—
971#552—792no—
972#552—794no—
973#552—794no—
974#552—794no—
975#552—794no—
976#552—794no—
977#552—794no—
978#552—794no—
979#552—794no—
980#552—794no—
981#552—794no—
982#552C2×D7914yes—
983#547—794no—
984#547—794no—
985#547—792no—
986#544—794no—
987#544—794no—
988#544—794no—
989#544—792no—
990#544—792no—
991#544—794no—
992#544—794no—
993#544—794no—
994#544—794no—
995#544—794no—
996#544—794no—
997#544—794no—
998#544—792no—
999#544—794no—
1000#541—794no—
1001#541—794no—
1002#541—794no—
1003#541—794no—
1004#541—794no—
1005#541—794no—
1006#541—794no—
1007#541—794no—
1008#541—794no—
1009#541—794no—
1010#541—794no—
1011#541—794no—
1012#541—794no—
1013#541—794no—
1014#541—794no—
1015#541—794no—
1016#541—794no—
1017#541—794no—
1018#541—794no—
1019#541—794no—
1020#541—794no—
1021#541—794no—
1022#541—794no—
1023#541—794no—
1024#541C2×D7914yes—
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#539—794no—
1037#539—794no—
1038#539C2×D7914yes—
1039#539C2×D7914yes—
1040#533—791no—
1041#533—791no—
1042#533—792no—
1043#533—794no—
1044#533—794no—
1045#533—794no—
1046#533—794no—
1047#533—794no—
1048#533—791no—
1049#529—794no—
1050#529—792no—
1051#529—792no—
1052#529—794no—
1053#529—794no—
1054#529—794no—
1055#529—794no—
1056#529—794no—
1057#529C2×D7912yes—
1058C2×#125—794no—
1059C2×#125—791no—
1060C2×#125—791no—
1061C2×#125—794no—
1062C2×#125—794no—
1063C2×#125—792no—
1064C2×#125—794no—
1065C2×#125—794no—
1066C2×#125—794no—
1067C2×#125—794no—
1068C2×#125—792no—
1069C2×#125C2×D7911yescharacteristic
1070#520—794no—
1071#520—794no—
1072#520—792no—
1073C4×#41—794no—
1074C4×#41—791no—
1075C2×#41—794no—
1076C2×#41—791no—
1077C4⋊Q8—794no—
1078C4⋊Q8—794no—
1079C4⋊Q8—794no—
1080C4⋊Q8—794no—
1081C4⋊Q8—794no—
1082C4⋊Q8—794no—
1083C4⋊Q8—794no—
1084C4⋊Q8—794no—
1085C4⋊Q8—792no—
1086C4⋊Q8—794no—
1087C4⋊Q8—792no—
1088C4⋊Q8—794no—
1089C4⋊Q8—792no—
1090C4⋊Q8—794no—
1091C4⋊Q8—794no—
1092C4⋊Q8—792no—
1093C4⋊Q8—794no—
1094C4⋊Q8—794no—
1095C4⋊Q8—794no—
1096C4⋊Q8—794no—
1097C4⋊Q8—794no—
1098C4⋊Q8—794no—
1099C4⋊Q8—792no—
1100C4⋊Q8—794no—
1101C4⋊Q8C22×D7914yes—
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#126—794no—
1125#126—794no—
1126#126—794no—
1127#126—794no—
1128#126—794no—
1129#126—794no—
1130#126—794no—
1131#126—794no—
1132#126C22×D7914yes—
1133#126C22×D7914yes—
1134#126C22×D7914yes—
1135#126C22×D7914yes—
1136#126C22×D7914yes—
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—792no—
1163#125—794no—
1164#125—794no—
1165#125—792no—
1166#125—794no—
1167#125—794no—
1168#125—794no—
1169#125—792no—
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—794no—
1179#125—794no—
1180#125—794no—
1181#125—794no—
1182#125—794no—
1183#125—794no—
1184#125—794no—
1185#125—794no—
1186#125—794no—
1187#125—794no—
1188#125—794no—
1189#125—792no—
1190#125—794no—
1191#125—794no—
1192#125—794no—
1193#125—794no—
1194#125—794no—
1195#125—794no—
1196#125—794no—
1197#125—794no—
1198#125—794no—
1199#125—794no—
1200#125—794no—
1201#125—794no—
1202#125—794no—
1203#125—794no—
1204#125—794no—
1205#125—794no—
1206#125—794no—
1207#125—794no—
1208#125—794no—
1209#125—794no—
1210#125—794no—
1211#125—794no—
1212#125—794no—
1213#125—794no—
1214#125—794no—
1215#125—792no—
1216#125—791no—
1217#125—792no—
1218#125—794no—
1219#125—794no—
1220#125—794no—
1221#125—794no—
1222#125—792no—
1223#125—792no—
1224#125—794no—
1225#125—791no—
1226#125—794no—
1227#125—794no—
1228#125—794no—
1229#125—794no—
1230#125C22×D7911yescharacteristic
1231#125C22×D7911yescharacteristic
1232#125C22×D7912yes—
1233#125C22×D7914yes—
1234#125C22×D7914yes—
1235#125C22×D7914yes—
1236#125C22×D7914yes—
1237#125C22×D7912yes—
1238#125C22×D7914yes—
1239#125C22×D7914yes—
1240#124—794no—
1241#124—794no—
1242#124C22×D7912yes—
1243#123—794no—
1244#123—794no—
1245#123—794no—
1246#123—794no—
1247#123—794no—
1248#123—794no—
1249#123—794no—
1250#123—794no—
1251#123—794no—
1252#123—794no—
1253#123—794no—
1254#123—794no—
1255#123—794no—
1256#123—794no—
1257#123—794no—
1258#123—794no—
1259#123—794no—
1260#123—794no—
1261#123—794no—
1262#123—794no—
1263#123C22×D7914yes—
1264#123C22×D7914yes—
1265#123C22×D7914yes—
1266#123C22×D7914yes—
1267#123C22×D7914yes—
1268C22⋊Q8—792no—
1269C22⋊Q8—792no—
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⋊Q8—794no—
1292C22⋊Q8—794no—
1293C22⋊Q8—794no—
1294C22⋊Q8—794no—
1295C22⋊Q8—794no—
1296C22⋊Q8—794no—
1297C22⋊Q8—794no—
1298C22⋊Q8—794no—
1299C22⋊Q8—794no—
1300C22⋊Q8—794no—
1301C22⋊Q8—794no—
1302C22⋊Q8—794no—
1303C22⋊Q8—794no—
1304C22⋊Q8—794no—
1305C22⋊Q8—794no—
1306C22⋊Q8—794no—
1307C22⋊Q8—794no—
1308C22⋊Q8—794no—
1309C22⋊Q8—794no—
1310C22⋊Q8—794no—
1311C22⋊Q8—794no—
1312C22⋊Q8—794no—
1313C22⋊Q8—794no—
1314C22⋊Q8—794no—
1315C22⋊Q8C22×D7912yes—
1316C22⋊Q8C22×D7914yes—
1317C22⋊Q8C22×D7914yes—
1318C22⋊Q8C22×D7914yes—
1319C22⋊Q8C22×D7914yes—
1320C22⋊Q8C22×D7914yes—
1321C22⋊Q8C22×D7914yes—
1322#121—792no—
1323#121—794no—
1324#121—794no—
1325#121—792no—
1326#121—794no—
1327#121—794no—
1328#121C22×D7914yes—
1329#121C22×D7914yes—
1330#121C22×D7912yes—
1331C4×Q8—792no—
1332C4×Q8—792no—
1333C4×Q8—794no—
1334C4×Q8—794no—
1335C4×Q8—794no—
1336C4×Q8—794no—
1337C4×Q8—794no—
1338C4×Q8—794no—
1339C4×Q8—794no—
1340C4×Q8—794no—
1341C4×Q8—794no—
1342C4×Q8—794no—
1343C4×Q8—794no—
1344C4×Q8—794no—
1345C4×Q8—794no—
1346C4×Q8—794no—
1347C4×Q8—794no—
1348C4×Q8—794no—
1349C4×Q8—794no—
1350C4×Q8—792no—
1351C4×Q8—794no—
1352C4×Q8—794no—
1353C4×Q8—794no—
1354C4×Q8—794no—
1355C4×Q8—794no—
1356C4×Q8—794no—
1357C4×Q8—794no—
1358C4×Q8—794no—
1359C4×Q8—794no—
1360C4×Q8—794no—
1361C4×Q8C22×D7912yes—
1362C4×Q8C22×D7914yes—
1363C4×D4—794no—
1364C4×D4—794no—
1365C4×D4—794no—
1366C4×D4—792no—
1367C4×D4—794no—
1368C4×D4—792no—
1369C4×D4—794no—
1370C4×D4—794no—
1371C4×D4—792no—
1372C4×D4—792no—
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—794no—
1385C4×D4—792no—
1386C4×D4C22×D7914yes—
1387C4×D4C22×D7914yes—
1388C4×D4C22×D7914yes—
1389C4×D4C22×D7914yes—
1390C4×D4C22×D7912yes—
1391#117—791no—
1392#117—792no—
1393#117—794no—
1394#117—794no—
1395#117—794no—
1396#117—794no—
1397#117—794no—
1398#117—792no—
1399#117—792no—
1400#117—794no—
1401#117—792no—
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—794no—
1414#117—794no—
1415#117—791no—
1416#117—791no—
1417#117—794no—
1418#117—794no—
1419#117—794no—
1420#117C22×D7914yes—
1421#117C22×D7914yes—
1422C2×C4⋊C4—794no—
1423C2×C4⋊C4—794no—
1424C2×C4⋊C4—794no—
1425C2×C4⋊C4—794no—
1426C2×C4⋊C4—794no—
1427C2×C4⋊C4—794no—
1428C2×C4⋊C4—792no—
1429C2×C4⋊C4—794no—
1430C2×C4⋊C4—792no—
1431C2×C4⋊C4—794no—
1432C2×C4⋊C4—794no—
1433C2×C4⋊C4—794no—
1434C2×C4⋊C4—794no—
1435C2×C4⋊C4—794no—
1436C2×C4⋊C4—792no—
1437C2×C4⋊C4—792no—
1438C2×C4⋊C4—794no—
1439C2×C4⋊C4—792no—
1440C2×C4⋊C4—794no—
1441C2×C4⋊C4—794no—
1442C2×C4⋊C4—792no—
1443C2×C4⋊C4—794no—
1444C2×C4⋊C4—794no—
1445C2×C4⋊C4C22×D7912yes—
1446C2×C4⋊C4C22×D7914yes—
1447C2×C4⋊C4C22×D7914yes—
1448C2×C42—794no—
1449C2×C42—794no—
1450C2×C42—794no—
1451C2×C42—791no—
1452C2×C42—791no—
1453C2×C42C22×D7911yescharacteristic
1454#41—1584no—
1455#41—15816no—
1456C2×Q8—794no—
1457C2×Q8—794no—
1458C2×Q8—794no—
1459C2×Q8—794no—
1460C2×Q8—794no—
1461C2×Q8—794no—
1462C2×Q8—791no—
1463C2×Q8—794no—
1464C2×Q8C23×D7914yes—
1465C2×Q8C23×D7912yes—
1466C2×D4—794no—
1467C2×D4—791no—
1468C2×D4—794no—
1469C2×D4—791no—
1470C2×D4—791no—
1471C2×D4C23×D7914yes—
1472C2×D4C23×D7912yes—
1473C2×D4C23×D7914yes—
1474C22×C4—794no—
1475C22×C4—794no—
1476C22×C4—794no—
1477C22×C4—794no—
1478C22×C4—794no—
1479C22×C4—792no—
1480C22×C4—794no—
1481C22×C4—792no—
1482C22×C4—794no—
1483C22×C4—794no—
1484C22×C4—794no—
1485C22×C4—791no—
1486C22×C4—794no—
1487C22×C4—791no—
1488C22×C4C23×D7911yescharacteristic
1489C22×C4C23×D7914yes—
1490C22×C4C23×D7914yes—
1491C22×C4C23×D7912yes—
1492C22×C4C23×D7914yes—
1493C22×C4C23×D7914yes—
1494C4⋊C4—794no—
1495C4⋊C4—794no—
1496C4⋊C4—792no—
1497C4⋊C4—794no—
1498C4⋊C4—794no—
1499C4⋊C4—794no—
1500C4⋊C4—794no—
1501C4⋊C4—794no—
1502C4⋊C4—794no—
1503C4⋊C4—794no—
1504C4⋊C4—794no—
1505C4⋊C4—794no—
1506C4⋊C4—794no—
1507C4⋊C4—794no—
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—792no—
1533C4⋊C4—794no—
1534C4⋊C4—794no—
1535C4⋊C4—794no—
1536C4⋊C4—794no—
1537C4⋊C4—794no—
1538C4⋊C4—794no—
1539C4⋊C4—794no—
1540C4⋊C4—792no—
1541C4⋊C4—794no—
1542C4⋊C4—792no—
1543C4⋊C4—792no—
1544C4⋊C4—794no—
1545C4⋊C4—794no—
1546C4⋊C4—794no—
1547C4⋊C4—792no—
1548C4⋊C4—794no—
1549C4⋊C4—792no—
1550C4⋊C4—794no—
1551C4⋊C4—794no—
1552C4⋊C4—794no—
1553C4⋊C4—794no—
1554C4⋊C4—794no—
1555C4⋊C4—794no—
1556C4⋊C4—794no—
1557C4⋊C4—794no—
1558C4⋊C4—794no—
1559C4⋊C4—792no—
1560C4⋊C4—792no—
1561C4⋊C4—794no—
1562C4⋊C4—794no—
1563C4⋊C4—794no—
1564C4⋊C4C23×D7912yes—
1565C4⋊C4C23×D7912yes—
1566C4⋊C4C23×D7914yes—
1567C4⋊C4C23×D7914yes—
1568C4⋊C4C23×D7914yes—
1569C4⋊C4C23×D7912yes—
1570C4⋊C4C23×D7912yes—
1571C4⋊C4C23×D7914yes—
1572C4⋊C4C23×D7914yes—
1573C4⋊C4C23×D7914yes—
1574C4⋊C4C23×D7914yes—
1575C4⋊C4C23×D7914yes—
1576C4⋊C4C23×D7914yes—
1577C4⋊C4C23×D7914yes—
1578C4⋊C4C23×D7914yes—
1579C4⋊C4C23×D7914yes—
1580C4⋊C4C23×D7914yes—
1581C4⋊C4C23×D7914yes—
1582C4⋊C4C23×D7914yes—
1583C22⋊C4—792no—
1584C22⋊C4—794no—
1585C22⋊C4—794no—
1586C22⋊C4—794no—
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—792no—
1603C22⋊C4C23×D7914yes—
1604C22⋊C4C23×D7914yes—
1605C22⋊C4C23×D7914yes—
1606C22⋊C4C23×D7914yes—
1607C22⋊C4C23×D7914yes—
1608C22⋊C4C23×D7914yes—
1609C22⋊C4C23×D7914yes—
1610C22⋊C4C23×D7914yes—
1611C22⋊C4C23×D7914yes—
1612C42—794no—
1613C42—794no—
1614C42—794no—
1615C42—791no—
1616C42—794no—
1617C42—792no—
1618C42—794no—
1619C42—791no—
1620C42—794no—
1621C42—794no—
1622C42—792no—
1623C42—794no—
1624C42—794no—
1625C42—794no—
1626C42—794no—
1627C42—794no—
1628C42—794no—
1629C42—794no—
1630C42—794no—
1631C42—794no—
1632C42—794no—
1633C42C23×D7911yescharacteristic
1634C42C23×D7914yes—
1635C42C23×D7911yescharacteristic
1636C42C23×D7912yes—
1637C42C23×D7914yes—
1638C42C23×D7914yes—
1639C23—791no—
1640C23—791no—
1641C23C24×D7914yes—
1642C23C24×D7911yescharacteristic
1643Q8—44no—
1644Q8—42no—
1645Q8—3164no—
1646Q8—3164no—
1647Q8—3164no—
1648Q8—3164no—
1649Q8—3164no—
1650Q8—3164no—
1651Q8—1582no—
1652Q8—1588no—
1653D4—28no—
1654D4—44no—
1655D4—42no—
1656D4—3164no—
1657D4—794no—
1658D4—1582no—
1659D4—1588no—
1660D4—1582no—
1661C2×C4—22no—
1662C2×C4—44no—
1663C2×C4—42no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—3164no—
1668C2×C4—3164no—
1669C2×C4—3164no—
1670C2×C4—3162no—
1671C2×C4—3162no—
1672C2×C4—3164no—
1673C2×C4—3164no—
1674C2×C4—3164no—
1675C2×C4—3164no—
1676C2×C4—791no—
1677C2×C4—792no—
1678C2×C4—794no—
1679C2×C4—791no—
1680C2×C4—794no—
1681C2×C4—794no—
1682C2×C4—794no—
1683C2×C4—792no—
1684C2×C4—794no—
1685C2×C4—794no—
1686C2×C4—1582no—
1687C2×C4—1582no—
1688C2×C4—1588no—
1689C2×C4—1588no—
1690C2×C4—1588no—
1691C2×C4C24×D7914yes—
1692C2×C4C24×D7911yescharacteristic
1693C2×C4C24×D7914yes—
1694C2×C4C24×D7914yes—
1695C2×C4C24×D7914yes—
1696C2×C4C24×D7914yes—
1697C2×C4C24×D7911yescharacteristic
1698C2×C4C24×D7912yes—
1699C2×C4C24×D7912yes—
1700C22—22no—
1701C22—24no—
1702C22—24no—
1703C22—24no—
1704C22—792no—
1705C22—1581no—
1706C22—1582no—
1707C22—1582no—
1708C222−1+4×D7912yes—
1709C22C25×D7911yescharacteristic
1710C4—21no—
1711C4—21no—
1712C4—24no—
1713C4—22no—
1714C4—24no—
1715C4—24no—
1716C4—24no—
1717C4—22no—
1718C4—24no—
1719C4—792no—
1720C4—1584no—
1721C4—1581no—
1722C4—1584no—
1723C4—1584no—
1724C4—1584no—
1725C4—1582no—
1726C4—1584no—
1727C4—1582no—
1728C4—1584no—
1729C2—22no—
1730C2—44no—
1731C2—3161no—
1732C2—1582no—
1733C2C2×2−1+4×D7911yescharacteristic
1734C2#2377821312yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3553C2
hypercenter#3553D79
hypocenterC79#63067
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3553

Complements

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

NH ≅ G/Ntype
1. #23778008C2semidirect
2. #23778008C2semidirect
3. #23778007C2semidirect
4. #23778004C2semidirect
5. #23778003C2semidirect
6. #23778000C2semidirect
7. #23778000C2semidirect
8. #23777998C2semidirect
9. #23777997C2semidirect
10. #23777894C2semidirect
11. #23777893C2semidirect
12. #23777855C2semidirect
13. #23777849C2semidirect
14. #23777848C2semidirect
15. #23777544C2semidirect
16. C2×C79⋊#564C2semidirect
17. #564×D79C2semidirect
18. #23777371C2semidirect
19. #23777370C2semidirect
20. #23777366C2semidirect
21. #23777224C2semidirect
22. #23777220C2semidirect
23. C79×#3553C2semidirect
882. #3553D79semidirect
891. C79#63067semidirect

Maximal subgroups

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

subgroupindex
#237780082
#237780072
#237780042
#237780032
#237780002
#237779982
#237779972
#237778942
#237778932
#237778552
#237778492
#237778482
#237775442
C2×C79⋊#5642
#564×D792
#237773712
#237773702
#237773662
#237772242
#237772202
C79×#35532
#6306779