Finite Group Databasebeta

← #35201861

Subgroups — #35201861

Order 20224.

6384 conjugacy classes of subgroups.

The subgroup lattice has 1938 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778039C213yesmaximal, complemented
2#23778037C213yesmaximal, complemented
3#23778005C213yesmaximal, complemented
4#23777924C213yesmaximal, complemented
5#23777908C213yesmaximal, complemented
6#23777903C213yesmaximal, complemented
7#23777873C213yesmaximal, complemented
8#23777869C213yesmaximal, complemented
9#23777836C213yesmaximal, complemented
10#23777835C213yesmaximal, complemented
11#23777813C213yesmaximal, complemented
12#23777791C213yesmaximal, complemented
13#23777784C213yesmaximal, complemented
14#23777742C213yesmaximal, complemented
15#23777741C213yesmaximal, complemented
16#23777545C213yesmaximal, complemented
17#23777511C211yesmaximal, characteristic, complemented
18#23777510C211yesmaximal, characteristic, complemented
19#23777510C211yesmaximal, characteristic, complemented
20#23777502C211yesmaximal, characteristic, complemented
21#23777485C211yesmaximal, characteristic, complemented
22#23777476C211yesmaximal, characteristic, complemented
23#23777412C211yesmaximal, characteristic, complemented
24#23777400C211yesmaximal, characteristic, complemented
25#23777394C211yesmaximal, characteristic, complemented
26#23777225C211yesmaximal, characteristic, complemented
27#23777217C211yesmaximal, characteristic, complemented
28#23777213C211yesmaximal, characteristic, complemented
29#23777210C211yesmaximal, characteristic, complemented
30#23777206C211yesmaximal, characteristic, complemented
31C79×#3516C211yesmaximal, characteristic, complemented
32C79⋊#564C2213yes—
33#19099317C2213yes—
34#19099317C2216yes—
35#19099316C2211yescharacteristic
36#19099316C2213yes—
37#19099315C2213yes—
38#19099315C2213yes—
39#19099315C2213yes—
40#19099315C2213yes—
41#19099315C2216yes—
42#19099314C2213yes—
43#19099314C2213yes—
44#19099314C2216yes—
45#19099313C2213yes—
46#19099310C2213yes—
47#19099310C2213yes—
48#19099310C2216yes—
49#19099310C2216yes—
50#19099308C2213yes—
51#19099308C2213yes—
52#19099307C2213yes—
53#19099298C2213yes—
54#19099298C2213yes—
55#19099295C2213yes—
56#19099295C2213yes—
57#19099295C2213yes—
58#19099295C2213yes—
59Q8×Dic158C2213yes—
60Q8×Dic158C2213yes—
61Q8×Dic158C2211yescharacteristic
62Q8×Dic158C2211yescharacteristic
63Q8×Dic158C2211yescharacteristic
64#19099292C2213yes—
65#19099292C2213yes—
66#19099292C2211yescharacteristic
67#19099292C2211yescharacteristic
68#19099289C2213yes—
69#19099289C2213yes—
70#19099289C2213yes—
71#19099289C2211yescharacteristic
72#19099289C2213yes—
73#19099289C2211yescharacteristic
74#19099289C2211yescharacteristic
75#19099289C2211yescharacteristic
76#19099287C2213yes—
77#19099287C2213yes—
78#19099284C2213yes—
79#19099284C2213yes—
80#19099281C2216yes—
81#19099278C2213yes—
82#19099278C2213yes—
83#19099278C2213yes—
84#19099277C2213yes—
85#19099276C2213yes—
86#19099274C2213yes—
87#19099273C2213yes—
88#19099273C2213yes—
89#19099272C2213yes—
90#19099272C2213yes—
91#19099271C2213yes—
92#19099271C2213yes—
93#19099269C2213yes—
94#19099269C2213yes—
95#19099269C2213yes—
96#19099269C2213yes—
97#19099263C2213yes—
98#19099261C2213yes—
99#19099260C2213yes—
100#19099260C2213yes—
101#19099259C2213yes—
102#19099259C2213yes—
103#19099257C2213yes—
104#19099255C2213yes—
105#19099254C2213yes—
106#19099251C2216yes—
107#19099251C2216yes—
108#19099249C2216yes—
109#19099247C2213yes—
110#19099247C2213yes—
111#19099247C2213yes—
112#19099246C2216yes—
113#19099235C2211yescharacteristic
114#19099234C2213yes—
115#19099232C2211yescharacteristic
116#19099232C2211yescharacteristic
117Q8×D316C2213yes—
118D4×Dic158C2213yes—
119D4×Dic158C2213yes—
120#19099228C2213yes—
121#19099226C2216yes—
122#19099224C2211yescharacteristic
123#19099224C2211yescharacteristic
124#19099224C2211yescharacteristic
125#19099224C2211yescharacteristic
126#19099222C2216yes—
127#19099221C2216yes—
128#19099218C2216yes—
129#19099217C2213yes—
130#19099214C2213yes—
131#19099214C2213yes—
132#19099214C2213yes—
133#19099213C2213yes—
134#19099211C2216yes—
135#19099194C2213yes—
136#19099194C2213yes—
137#19099194C2213yes—
138#19099193C2213yes—
139#19099193C2213yes—
140#19099193C2213yes—
141#19099193C2216yes—
142#19099191C2213yes—
143#19099191C2213yes—
144#19099191C2213yes—
145#19099190C2213yes—
146#19099186C2213yes—
147#19099186C2213yes—
148#19099186C2213yes—
149#19099186C2213yes—
150#19099186C2213yes—
151#19099185C2213yes—
152#19099185C2213yes—
153#19099185C2213yes—
154#19099184C2216yes—
155#19099182C2213yes—
156#19099182C2213yes—
157#19099182C2213yes—
158#19099179C2216yes—
159#19099179C2216yes—
160#19099179C2216yes—
161#19099179C2216yes—
162#19099178C2216yes—
163#19099174C2213yes—
164#19099172C2216yes—
165#19099170C2216yes—
166#19099168C2213yes—
167#19099168C2213yes—
168#19099166C2213yes—
169#19099166C2213yes—
170#19099166C2213yes—
171#19099164C2213yes—
172#19099162C2216yes—
173#19099156C2216yes—
174#19099155C2216yes—
175#19099154C2216yes—
176#19099154C2216yes—
177#19099154C2216yes—
178#19099142C2216yes—
179#19099139C2216yes—
180#19099136C2216yes—
181#19099136C2216yes—
182#19099135C2216yes—
183#19099120C2213yes—
184#19099120C2213yes—
185#19099118C2213yes—
186#19099117C2213yes—
187#19099117C2213yes—
188#19099116C2213yes—
189#19099116C2213yes—
190#19099116C2213yes—
191#19099113C2213yes—
192#19099110C2213yes—
193#19099108C2213yes—
194C2×#14579160C2213yes—
195C4⋊Q8×D79C2213yes—
196#19099100C2213yes—
197#19099099C2213yes—
198#19099099C2213yes—
199#19099099C2213yes—
200#19099097C2213yes—
201#19099095C2213yes—
202#19099095C2213yes—
203#19099093C2213yes—
204#19099093C2213yes—
205#19099093C2213yes—
206#19099093C2213yes—
207#19099092C2213yes—
208#19099091C2213yes—
209#19099091C2213yes—
210#125×D79C2213yes—
211#19099046C2211yescharacteristic
212#19099045C2211yescharacteristic
213#19099045C2211yescharacteristic
214#19099045C2211yescharacteristic
215#19099045C2211yescharacteristic
216#19099041C2211yescharacteristic
217#19099041C2211yescharacteristic
218#19099041C2211yescharacteristic
219#41×Dic79C2211yescharacteristic
220C4×#11929625C2211yescharacteristic
221C4×#11929625C2211yescharacteristic
222C2×Q8×Dic79C2211yescharacteristic
223#557×C79C2211yescharacteristic
224#556×C79C2213yes—
225#554×C79C2213yes—
226#553×C79C2213yes—
227#552×C79C2213yes—
228D4×Q8×C79C2211yescharacteristic
229#548×C79C2211yescharacteristic
230#548×C79C2211yescharacteristic
231#542×C79C2213yes—
232#541×C79C2213yes—
233#529×C79C2213yes—
234#529×C79C2213yes—
235#520×C79C2211yescharacteristic
236#519×C79C2211yescharacteristic
237C2×C4×Q8×C79C2211yescharacteristic
238C2×#11929625C2311yescharacteristic
239C2×#11929625C2311yescharacteristic
240C2×#11929624C2316yes—
241C2×#11929624C2316yes—
242C2×#11929623C2316yes—
243C22×Dic158C2316yes—
244C2×Q8×D79C2316yes—
245#14579161C2313yes—
246#14579161C2316yes—
247#14579161C2313yes—
248#14579161C2313yes—
249#14579161C2313yes—
250#14579161C2313yes—
251#14579161C2313yes—
252#14579161C2313yes—
253#14579160C2313yes—
254#14579160C2316yes—
255#14579160C2316yes—
256#14579160C2316yes—
257#14579160C2316yes—
258#14579160C2313yes—
259#14579160C2316yes—
260#14579160C2313yes—
261#14579160C2313yes—
262#14579160C2313yes—
263#14579160C2313yes—
264#14579160C2313yes—
265#14579160C2313yes—
266#14579160C2313yes—
267#14579160C2313yes—
268#14579160C2313yes—
269#14579160C2313yes—
270#14579160C2313yes—
271#14579160C2313yes—
272#14579160C2311yescharacteristic
273#14579160C2311yescharacteristic
274#14579159C2313yes—
275#14579159C2313yes—
276#14579158C2313yes—
277#14579157C2313yes—
278#14579157C2313yes—
279#14579156C2316yes—
280#14579156C2316yes—
281#14579156C2316yes—
282#14579156C2316yes—
283#14579156C2313yes—
284#14579156C2316yes—
285#14579156C2313yes—
286#14579156C2313yes—
287#14579156C2313yes—
288#14579156C2313yes—
289#14579156C2313yes—
290#14579155C2316yes—
291#14579155C2313yes—
292#14579155C2313yes—
293#14579154C2313yes—
294#14579154C2313yes—
295#14579154C2316yes—
296#14579154C2313yes—
297#14579154C2316yes—
298#14579154C2313yes—
299#14579154C2313yes—
300#14579154C2311yescharacteristic
301#14579154C2313yes—
302#14579154C2311yescharacteristic
303#14579154C2311yescharacteristic
304#14579154C2311yescharacteristic
305#14579153C2313yes—
306#14579153C2313yes—
307#14579153C2316yes—
308#14579153C2313yes—
309#14579153C2313yes—
310#14579153C2313yes—
311#14579153C2313yes—
312#14579153C2313yes—
313#14579152C2313yes—
314#14579152C2316yes—
315#14579152C2316yes—
316#14579152C2313yes—
317#14579152C2316yes—
318#14579152C2313yes—
319#14579152C2313yes—
320#14579152C2313yes—
321#14579152C2313yes—
322#14579152C2313yes—
323#14579152C2313yes—
324#14579152C2313yes—
325#14579152C2313yes—
326#14579152C2313yes—
327#14579152C2313yes—
328#14579152C2313yes—
329#14579152C2313yes—
330#14579151C2316yes—
331#14579151C2313yes—
332#14579151C2316yes—
333#14579151C2313yes—
334#14579151C2313yes—
335#14579151C2313yes—
336#14579151C2313yes—
337#14579151C2313yes—
338#14579151C2313yes—
339#14579151C2313yes—
340#14579151C2311yescharacteristic
341#14579151C2311yescharacteristic
342#14579150C2313yes—
343#14579150C2313yes—
344#14579150C2313yes—
345#14579150C2313yes—
346#14579149C2316yes—
347#14579149C2316yes—
348#14579149C2313yes—
349#14579148C2313yes—
350#14579148C2311yescharacteristic
351#14579147C2313yes—
352#14579147C2316yes—
353#14579147C2316yes—
354#14579147C2316yes—
355#14579147C2316yes—
356#14579147C2313yes—
357#14579147C2316yes—
358#14579147C2316yes—
359#14579147C2313yes—
360#14579147C2313yes—
361#14579147C2313yes—
362#14579147C2313yes—
363#14579146C2316yes—
364#14579146C2316yes—
365#14579146C2316yes—
366#14579146C2313yes—
367#14579146C2316yes—
368#14579146C2316yes—
369#14579146C2313yes—
370#14579145C2313yes—
371#14579145C2316yes—
372#14579145C2316yes—
373#14579145C2316yes—
374#14579145C2316yes—
375#14579145C2313yes—
376#14579145C2313yes—
377#14579145C2313yes—
378#14579144C2313yes—
379#14579144C2316yes—
380#14579144C2313yes—
381#14579143C2313yes—
382#14579143C2313yes—
383#14579143C2316yes—
384#14579143C2316yes—
385#14579143C2316yes—
386#14579143C2316yes—
387#14579143C2316yes—
388#14579143C2313yes—
389#14579143C2313yes—
390#14579143C2313yes—
391#14579143C2313yes—
392#14579142C2313yes—
393#14579142C2313yes—
394#14579142C2313yes—
395#14579142C2311yescharacteristic
396#14579141C2316yes—
397#14579141C2316yes—
398#14579141C2313yes—
399#14579141C2316yes—
400#14579141C2316yes—
401#14579141C2316yes—
402#14579141C2313yes—
403#14579141C2316yes—
404#14579141C2313yes—
405#14579141C2313yes—
406#14579140C2316yes—
407#14579140C2316yes—
408#14579140C2316yes—
409#14579140C2313yes—
410#14579140C2313yes—
411#14579140C2311yescharacteristic
412#14579140C2313yes—
413#14579140C2311yescharacteristic
414#14579139C2313yes—
415#14579139C2316yes—
416#14579139C2316yes—
417#14579139C2316yes—
418#14579139C2316yes—
419#14579139C2313yes—
420#14579139C2313yes—
421#14579139C2316yes—
422#14579139C2313yes—
423#14579139C2313yes—
424#14579139C2316yes—
425#14579139C2313yes—
426#14579138C2316yes—
427#14579138C2316yes—
428#14579138C2313yes—
429#14579138C2313yes—
430#14579138C2316yes—
431#14579138C2316yes—
432#14579138C2313yes—
433#14579138C2313yes—
434#14579138C2313yes—
435#14579138C2313yes—
436#14579138C2313yes—
437#14579138C2313yes—
438#14579138C2313yes—
439#14579138C2311yescharacteristic
440#14579138C2313yes—
441#14579138C2311yescharacteristic
442#14579137C2313yes—
443#14579137C2316yes—
444#14579137C2313yes—
445#14579137C2313yes—
446#14579137C2313yes—
447#14579137C2313yes—
448#14579137C2313yes—
449#14579136C2313yes—
450#14579136C2313yes—
451#14579135C2316yes—
452#14579135C2313yes—
453#14579135C2313yes—
454#14579135C2313yes—
455#14579135C2313yes—
456#14579135C2313yes—
457#14579135C2313yes—
458#14579135C2313yes—
459#14579134C2316yes—
460#14579134C2316yes—
461#14579134C2313yes—
462#14579134C2316yes—
463#14579134C2313yes—
464#14579133C2313yes—
465#14579133C2316yes—
466#14579133C2313yes—
467#14579133C2313yes—
468#14579133C2313yes—
469#14579132C2313yes—
470#14579132C2316yes—
471#14579132C2316yes—
472#14579132C2313yes—
473#14579132C2313yes—
474#14579132C2313yes—
475Q8×Dic79C2313yes—
476Q8×Dic79C2313yes—
477Q8×Dic79C2313yes—
478Q8×Dic79C2313yes—
479Q8×Dic79C2313yes—
480Q8×Dic79C2313yes—
481Q8×Dic79C2313yes—
482Q8×Dic79C2313yes—
483Q8×Dic79C2311yescharacteristic
484Q8×Dic79C2311yescharacteristic
485Q8×Dic79C2311yescharacteristic
486Q8×Dic79C2311yescharacteristic
487Q8×Dic79C2311yescharacteristic
488Q8×Dic79C2311yescharacteristic
489C4×Dic158C2316yes—
490C4×Dic158C2316yes—
491C4×Dic158C2316yes—
492C4×Dic158C2316yes—
493C4×Dic158C2313yes—
494C4×Dic158C2313yes—
495C4×Dic158C2313yes—
496C4×Dic158C2313yes—
497C4×Dic158C2313yes—
498C4×Dic158C2313yes—
499C4×Dic158C2313yes—
500C4×Dic158C2313yes—
501C4×Dic158C2313yes—
502#14579126C2316yes—
503C4×D316C2316yes—
504C4×D316C2316yes—
505C4×D316C2313yes—
506C4×D316C2313yes—
507C4×D316C2313yes—
508C4×D316C2313yes—
509C4×D316C2313yes—
510C4×D316C2313yes—
511C4×D316C2313yes—
512D4×Dic79C2313yes—
513D4×Dic79C2313yes—
514D4×Dic79C2313yes—
515D4×Dic79C2313yes—
516#14579123C2313yes—
517#14579123C2313yes—
518#14579123C2313yes—
519#14579123C2313yes—
520#14579123C2313yes—
521#14579123C2313yes—
522C4×C22⋊D79C2316yes—
523C4×C22⋊D79C2313yes—
524C4×C22⋊D79C2313yes—
525C4×C22⋊D79C2313yes—
526C4×C22⋊D79C2313yes—
527C4×C22⋊D79C2313yes—
528C4×C22⋊D79C2313yes—
529(C22⋊D79)⋊C4C2316yes—
530(C22⋊D79)⋊C4C2316yes—
531(C22⋊D79)⋊C4C2316yes—
532(C22⋊D79)⋊C4C2316yes—
533(C22⋊D79)⋊C4C2316yes—
534#14579120C2313yes—
535#14579120C2313yes—
536#14579120C2313yes—
537#14579120C2313yes—
538#14579120C2313yes—
539#14579120C2313yes—
540#14579120C2313yes—
541#14579120C2313yes—
542#14579119C2316yes—
543#14579119C2316yes—
544#14579119C2316yes—
545#14579119C2316yes—
546#14579119C2313yes—
547#14579119C2313yes—
548#14579118C2313yes—
549#14579118C2316yes—
550#14579118C2313yes—
551#14579118C2313yes—
552#14579118C2313yes—
553#14579117C2316yes—
554C2×C4⋊Dic79C2313yes—
555C2×C4⋊Dic79C2313yes—
556C2×Dic79⋊C4C2316yes—
557C4⋊C4×D79C2316yes—
558C4⋊C4×D79C2316yes—
559C4⋊C4×D79C2316yes—
560C4⋊C4×D79C2313yes—
561C4⋊C4×D79C2313yes—
562C4⋊C4×D79C2313yes—
563C4⋊C4×D79C2313yes—
564C2×C4×Dic79C2313yes—
565C2×C4×Dic79C2313yes—
566C42×D79C2313yes—
567C42×D79C2313yes—
568C2×#41×C79C2311yescharacteristic
569C22×Q8×C79C2311yescharacteristic
570C22×Q8×C79C2311yescharacteristic
571C4⋊Q8×C79C2313yes—
572C4⋊Q8×C79C2313yes—
573#126×C79C2316yes—
574#126×C79C2316yes—
575#126×C79C2313yes—
576#126×C79C2313yes—
577#125×C79C2316yes—
578#125×C79C2313yes—
579#125×C79C2313yes—
580#125×C79C2313yes—
581#124×C79C2313yes—
582#124×C79C2313yes—
583#124×C79C2313yes—
584#123×C79C2316yes—
585#123×C79C2311yescharacteristic
586#123×C79C2313yes—
587C22⋊Q8×C79C2313yes—
588C22⋊Q8×C79C2316yes—
589C22⋊Q8×C79C2313yes—
590C22⋊Q8×C79C2313yes—
591C22⋊Q8×C79C2313yes—
592C22⋊Q8×C79C2313yes—
593#121×C79C2313yes—
594#121×C79C2313yes—
595#121×C79C2313yes—
596C4×Q8×C79C2313yes—
597C4×Q8×C79C2313yes—
598C4×Q8×C79C2313yes—
599C4×Q8×C79C2311yescharacteristic
600C4×Q8×C79C2313yes—
601C4×Q8×C79C2311yescharacteristic
602C4×Q8×C79C2313yes—
603C4×Q8×C79C2311yescharacteristic
604C4×Q8×C79C2311yescharacteristic
605C4×D4×C79C2316yes—
606C4×D4×C79C2313yes—
607C4×D4×C79C2313yes—
608C4×D4×C79C2313yes—
609C4×D4×C79C2313yes—
610C4×D4×C79C2313yes—
611#117×C79C2316yes—
612#117×C79C2313yes—
613#117×C79C2313yes—
614#117×C79C2313yes—
615C2×C4⋊C4×C79C2313yes—
616C2×C4⋊C4×C79C2313yes—
617C2×C42×C79C2313yes—
618#11929625—24no—
619#11929625—24no—
620#11929624—86no—
621#11929624—86no—
622#11929623—86no—
623C2×Dic158—86no—
624C2×Dic158C2413yes—
625C2×Dic158C2416yes—
626C2×Dic158C2416yes—
627C2×Dic158C2413yes—
628C2×Dic158C2413yes—
629C2×Dic158C2416yes—
630C2×Dic158C2413yes—
631C2×Dic158C2411yescharacteristic
632C2×Dic158C2411yescharacteristic
633C2×Dic158C2413yes—
634C2×Dic158C2411yescharacteristic
635C2×Dic158C2413yes—
636Q8×D79—86no—
637C2×D316C2413yes—
638C2×D316C2413yes—
639C2×D316C2416yes—
640C2×D316C2413yes—
641C2×C22⋊D79C2413yes—
642C2×C22⋊D79C2416yes—
643C2×C22⋊D79C2413yes—
644C2×C22⋊D79C2413yes—
645C2×C22⋊D79C2413yes—
646C2×C22⋊D79C2413yes—
647C2×C22⋊D79C2416yes—
648C2×C22⋊D79C2413yes—
649C22×Dic79C2413yes—
650C22×Dic79C2416yes—
651C22×Dic79C2413yes—
652C22×Dic79C2411yescharacteristic
653C22×Dic79C2413yes—
654C2×C4×D79C2413yes—
655C2×C4×D79C2413yes—
656C2×C4×D79C2413yes—
657C2×C4×D79C2416yes—
658C2×C4×D79C2416yes—
659C2×C4×D79C2416yes—
660C2×C4×D79C2413yes—
661C2×C4×D79C2413yes—
662C2×C4×D79C2413yes—
663C2×C4×D79C2416yes—
664C4⋊Dic79C2413yes—
665C4⋊Dic79C2413yes—
666C4⋊Dic79C2413yes—
667C4⋊Dic79C2416yes—
668C4⋊Dic79C2416yes—
669C4⋊Dic79C2413yes—
670C4⋊Dic79C2413yes—
671C4⋊Dic79C2413yes—
672C4⋊Dic79C2413yes—
673C4⋊Dic79C2416yes—
674C4⋊Dic79C2413yes—
675C4⋊Dic79C2413yes—
676C4⋊Dic79C2413yes—
677C4⋊Dic79C2411yescharacteristic
678C4⋊Dic79C2413yes—
679C4⋊Dic79C2413yes—
680C4⋊Dic79C2413yes—
681C4⋊Dic79C2413yes—
682C4⋊Dic79C2413yes—
683C4⋊Dic79C2413yes—
684C4⋊Dic79C2411yescharacteristic
685C4⋊Dic79C2413yes—
686C4⋊Dic79C2413yes—
687C4⋊Dic79C2413yes—
688C4⋊Dic79C2411yescharacteristic
689C4⋊Dic79C2411yescharacteristic
690C4⋊Dic79C2413yes—
691Dic79⋊C4C2413yes—
692Dic79⋊C4C2413yes—
693Dic79⋊C4C2413yes—
694Dic79⋊C4C2413yes—
695Dic79⋊C4C2413yes—
696Dic79⋊C4C2413yes—
697Dic79⋊C4C2413yes—
698Dic79⋊C4C2413yes—
699Dic79⋊C4C2416yes—
700Dic79⋊C4C2416yes—
701Dic79⋊C4C2413yes—
702Dic79⋊C4C2413yes—
703Dic79⋊C4C2416yes—
704Dic79⋊C4C2413yes—
705Dic79⋊C4C2411yescharacteristic
706Dic79⋊C4C2411yescharacteristic
707Dic79⋊C4C2411yescharacteristic
708Dic79⋊C4C2411yescharacteristic
709Dic79⋊C4C2413yes—
710Dic79⋊C4C2413yes—
711Dic79⋊C4C2413yes—
712Dic79⋊C4C2413yes—
713Dic79⋊C4C2413yes—
714Dic79⋊C4C2411yescharacteristic
715Dic79⋊C4C2411yescharacteristic
716Dic79⋊C4C2413yes—
717Dic79⋊C4C2413yes—
718Dic79⋊C4C2416yes—
719Dic79⋊C4C2413yes—
720Dic79⋊C4C2411yescharacteristic
721Dic79⋊C4C2413yes—
722Dic79⋊C4C2413yes—
723Dic79⋊C4C2411yescharacteristic
724Dic79⋊C4C2411yescharacteristic
725Dic79⋊C4C2411yescharacteristic
726Dic79⋊C4C2413yes—
727C22⋊Dic79C2413yes—
728C22⋊Dic79C2413yes—
729C22⋊Dic79C2411yescharacteristic
730C22⋊Dic79C2413yes—
731C22⋊Dic79C2413yes—
732C22⋊Dic79C2411yescharacteristic
733C22⋊Dic79C2411yescharacteristic
734C22⋊Dic79C2416yes—
735C22⋊Dic79C2413yes—
736C22⋊Dic79C2413yes—
737C22⋊Dic79C2413yes—
738C22⋊Dic79C2411yescharacteristic
739C22⋊Dic79C2411yescharacteristic
740C22⋊Dic79C2411yescharacteristic
741C22⋊Dic79C2411yescharacteristic
742(C2×D79)⋊C4C2413yes—
743(C2×D79)⋊C4C2416yes—
744(C2×D79)⋊C4C2413yes—
745(C2×D79)⋊C4C2413yes—
746(C2×D79)⋊C4C2413yes—
747(C2×D79)⋊C4C2413yes—
748(C2×D79)⋊C4C2413yes—
749(C2×D79)⋊C4C2413yes—
750(C2×D79)⋊C4C2413yes—
751(C2×D79)⋊C4C2413yes—
752(C2×D79)⋊C4C2413yes—
753(C2×D79)⋊C4C2413yes—
754(C2×D79)⋊C4C2413yes—
755(C2×D79)⋊C4C2416yes—
756(C2×D79)⋊C4C2416yes—
757(C2×D79)⋊C4C2416yes—
758(C2×D79)⋊C4C2416yes—
759(C2×D79)⋊C4C2413yes—
760(C2×D79)⋊C4C2413yes—
761(C2×D79)⋊C4C2416yes—
762(C2×D79)⋊C4C2413yes—
763(C2×D79)⋊C4C2413yes—
764C4×Dic79C2411yescharacteristic
765C4×Dic79C2411yescharacteristic
766C4×Dic79C2413yes—
767C4×Dic79C2413yes—
768C4×Dic79C2413yes—
769C4×Dic79C2413yes—
770C4×Dic79C2411yescharacteristic
771C4×Dic79C2413yes—
772C4×Dic79C2413yes—
773C4×Dic79C2413yes—
774C4×Dic79C2413yes—
775C4×Dic79C2413yes—
776C4×Dic79C2413yes—
777C4×Dic79C2413yes—
778C4×Dic79C2416yes—
779C4×Dic79C2416yes—
780C4×Dic79C2416yes—
781#41×C79—24no—
782C2×Q8×C79—24no—
783C2×Q8×C79—24no—
784C2×Q8×C79C2413yes—
785C2×Q8×C79C2413yes—
786C2×Q8×C79C2413yes—
787C2×Q8×C79C2411yescharacteristic
788C2×D4×C79C2413yes—
789C2×D4×C79C2413yes—
790C2×D4×C79C2413yes—
791C2×D4×C79C2411yescharacteristic
792C22×C4×C79C2413yes—
793C22×C4×C79C2413yes—
794C22×C4×C79C2413yes—
795C22×C4×C79C2416yes—
796C22×C4×C79C2413yes—
797C22×C4×C79C2411yescharacteristic
798C4⋊C4×C79C2413yes—
799C4⋊C4×C79C2413yes—
800C4⋊C4×C79C2413yes—
801C4⋊C4×C79C2413yes—
802C4⋊C4×C79C2416yes—
803C4⋊C4×C79C2411yescharacteristic
804C4⋊C4×C79C2413yes—
805C4⋊C4×C79C2413yes—
806C4⋊C4×C79C2413yes—
807C4⋊C4×C79C2413yes—
808C4⋊C4×C79C2416yes—
809C4⋊C4×C79C2413yes—
810C4⋊C4×C79C2413yes—
811C4⋊C4×C79C2416yes—
812C4⋊C4×C79C2413yes—
813C4⋊C4×C79C2411yescharacteristic
814C4⋊C4×C79C2413yes—
815C22⋊C4×C79C2413yes—
816C22⋊C4×C79C2411yescharacteristic
817C22⋊C4×C79C2413yes—
818C22⋊C4×C79C2413yes—
819C22⋊C4×C79C2413yes—
820C22⋊C4×C79C2416yes—
821C22⋊C4×C79C2413yes—
822C22⋊C4×C79C2411yescharacteristic
823C22⋊C4×C79C2411yescharacteristic
824C22⋊C4×C79C2416yes—
825C22⋊C4×C79C2413yes—
826C22⋊C4×C79C2413yes—
827C42×C79C2413yes—
828C42×C79C2413yes—
829C42×C79C2413yes—
830C42×C79C2413yes—
831C42×C79C2416yes—
832C42×C79C2413yes—
833C42×C79C2413yes—
834C23×C79C2511yescharacteristic
835C23×C79C2511yescharacteristic
836C23×C79C2513yes—
837C22×D79C2513yes—
838C22×D79C2513yes—
839Q8×C79—26no—
840Q8×C79—26no—
841Q8×C79—43no—
842Q8×C792−1+414yes—
843D4×C79—26no—
844D4×C79—43no—
845D4×C79—43no—
846D4×C79—41no—
847C2×C4×C79—26no—
848C2×C4×C79—26no—
849C2×C4×C79—26no—
850C2×C4×C79—46no—
851C2×C4×C79—43no—
852C2×C4×C79—41no—
853C2×C4×C79C2513yes—
854C2×C4×C79C2513yes—
855C2×C4×C79C2511yescharacteristic
856C2×C4×C79C2511yescharacteristic
857C2×C4×C79C2513yes—
858C2×C4×C79C2511yescharacteristic
859C2×C4×C79C2513yes—
860C2×C4×C79C2511yescharacteristic
861C2×C4×C79C2513yes—
862C2×C4×C79C2513yes—
863C2×C4×C79C2511yescharacteristic
864C2×C4×C79C2513yes—
865C22⋊D79—43no—
866C22⋊D79—46no—
867C22⋊D79—43no—
868C22⋊D79—43no—
869C22⋊D79—46no—
870C22⋊D79—43no—
871C22⋊D79—43no—
872C22⋊D79—43no—
873C2×Dic79—41no—
874C2×Dic79—43no—
875C2×Dic79—43no—
876C2×Dic79—46no—
877C2×Dic79—43no—
878C2×Dic79C2511yescharacteristic
879C2×Dic79C2513yes—
880C2×Dic79C2511yescharacteristic
881C2×Dic79C2511yescharacteristic
882C2×Dic79C2511yescharacteristic
883C2×Dic79C2513yes—
884C2×Dic79C2511yescharacteristic
885C2×Dic79C2511yescharacteristic
886C2×Dic79C2511yescharacteristic
887C2×Dic79C2513yes—
888C2×Dic79C2513yes—
889C2×Dic79C2513yes—
890C2×Dic79C2511yescharacteristic
891C2×Dic79C2513yes—
892D316—26no—
893D316—26no—
894D316—43no—
895D316—46no—
896C4×D79—26no—
897C4×D79—26no—
898C4×D79—43no—
899C4×D79—46no—
900C4×D79—43no—
901C4×D79—43no—
902C4×D79—46no—
903C4×D79—46no—
904C4×D79—46no—
905C4×D79—43no—
906Dic158—43no—
907Dic158—46no—
908Dic158—46no—
909Dic158—43no—
910Dic158—43no—
911Dic158—46no—
912Dic158—41no—
913Dic158—43no—
914Dic158—43no—
915Dic158—41no—
916Dic158—41no—
917Dic158—43no—
918C22×C79—21no—
919C22×C79—21no—
920C22×C79—23no—
921C22×C79—21no—
922C22×C79—23no—
923C22×C79—21no—
924C22×C79—21no—
925C22×C79—23no—
926C22×C79—21no—
927C22×C79C2611yescharacteristic
928C2×D79—23no—
929C2×D79—23no—
930C2×D79—23no—
931C2×D79—23no—
932C2×D79—23no—
933C2×D79—23no—
934C4×C79—21no—
935C4×C79—23no—
936C4×C79—23no—
937C4×C79—23no—
938C4×C79—23no—
939C4×C79—23no—
940C4×C79—21no—
941C4×C79—21no—
942C4×C79—21no—
943C4×C79—21no—
944C4×C79—23no—
945C4×C79C2×2−1+416yes—
946Dic79—21no—
947Dic79—21no—
948Dic79—21no—
949Dic79—23no—
950Dic79—23no—
951Dic79—23no—
952Dic79—23no—
953Dic79—21no—
954Dic79—21no—
955Dic79—23no—
956Dic79—23no—
957Dic79—21no—
958Dic79—21no—
959Dic79—21no—
960#63061—791nomaximal, Sylow
961C2×C79—41no—
962C2×C79—41no—
963C2×C79—43no—
964C2×C79C22×2−1+411yescharacteristic
965C2×C79H(7,𝔽2)11yescharacteristic
966C2×C792−1+611yescharacteristic
967D79—43no—
968D79—43no—
969#3565—793no—
970#3565—793no—
971#3563—793no—
972#3559—793no—
973#3557—793no—
974#3557—793no—
975#3554—793no—
976#3554—793no—
977#3552—793no—
978#3552—793no—
979#3550—793no—
980#3547—793no—
981#3547—793no—
982#3544—793no—
983#3544—793no—
984#3531—793no—
985#3524—791no—
986#3524—791no—
987#3524—791no—
988#3524—791no—
989#3522—791no—
990#3522—791no—
991#3518—791no—
992#3517—791no—
993#3516—791no—
994#3516D7911yescharacteristic, complemented
995#3504—791no—
996#3503—791no—
997#3503—791no—
998#3502—791no—
999#3502—791no—
1000C79#6306111yescharacteristic, complemented, Sylow
1001#564—793no—
1002#563—793no—
1003#563—793no—
1004#563—793no—
1005#563—793no—
1006#563—796no—
1007#563—793no—
1008#563—796no—
1009#563—793no—
1010#563—791no—
1011#563—793no—
1012#563—793no—
1013#563—793no—
1014#563—796no—
1015#562—793no—
1016#562—793no—
1017#562—793no—
1018#562—796no—
1019#562—796no—
1020#562—793no—
1021#562—793no—
1022#559—793no—
1023#559—793no—
1024#559—793no—
1025#559—793no—
1026#559—793no—
1027#559—793no—
1028Q82—791no—
1029Q82—791no—
1030Q82—793no—
1031Q82—793no—
1032Q82—791no—
1033#557—791no—
1034#557—791no—
1035#557—791no—
1036#557—793no—
1037#557—793no—
1038#557—793no—
1039#557—793no—
1040#557—791no—
1041#557—791no—
1042#557—791no—
1043#557—793no—
1044#557—793no—
1045#557C2×D7911yescharacteristic
1046#556—793no—
1047#556—793no—
1048#556—793no—
1049#556—793no—
1050#556—796no—
1051#556C2×D7913yes—
1052#555—793no—
1053#555—793no—
1054#555—793no—
1055#555—793no—
1056#555—793no—
1057#554—793no—
1058#554—793no—
1059#554—793no—
1060#554—793no—
1061#554—793no—
1062#554—793no—
1063#554—793no—
1064#554—793no—
1065#554—793no—
1066#554—793no—
1067#554—793no—
1068#554C2×D7913yes—
1069#553—793no—
1070#553—793no—
1071#553—793no—
1072#553—793no—
1073#553—793no—
1074#553—793no—
1075#553—793no—
1076#553C2×D7913yes—
1077#552—796no—
1078#552—796no—
1079#552—796no—
1080#552—793no—
1081#552—793no—
1082#552—793no—
1083#552—793no—
1084#552—793no—
1085#552—796no—
1086#552C2×D7913yes—
1087#550—791no—
1088#550—791no—
1089#550—791no—
1090#550—793no—
1091D4×Q8—793no—
1092D4×Q8—796no—
1093D4×Q8—793no—
1094D4×Q8—793no—
1095D4×Q8—793no—
1096D4×Q8C2×D7911yescharacteristic
1097#548—791no—
1098#548—791no—
1099#548—791no—
1100#548—791no—
1101#548—796no—
1102#548—796no—
1103#548C2×D7911yescharacteristic
1104#548C2×D7911yescharacteristic
1105#547—796no—
1106#547—793no—
1107#547—793no—
1108#547—796no—
1109#547—793no—
1110#547—793no—
1111#547—793no—
1112#544—793no—
1113#544—793no—
1114#544—793no—
1115#544—793no—
1116#544—796no—
1117#544—793no—
1118#544—793no—
1119#544—793no—
1120#544—793no—
1121#544—793no—
1122#544—793no—
1123#542—796no—
1124#542—796no—
1125#542—796no—
1126#542—796no—
1127#542—793no—
1128#542—793no—
1129#542—793no—
1130#542—793no—
1131#542—793no—
1132#542—793no—
1133#542—793no—
1134#542—793no—
1135#542—793no—
1136#542—793no—
1137#542—793no—
1138#542—796no—
1139#542—796no—
1140#542C2×D7913yes—
1141#541—793no—
1142#541—796no—
1143#541—796no—
1144#541C2×D7913yes—
1145#540—793no—
1146#540—793no—
1147#540—793no—
1148#540—793no—
1149#540—793no—
1150#540—793no—
1151#539—796no—
1152#539—796no—
1153#539—796no—
1154#539—796no—
1155#539—796no—
1156#539—796no—
1157#537—796no—
1158#536—796no—
1159#536—796no—
1160#536—796no—
1161#536—796no—
1162#533—793no—
1163#533—793no—
1164#533—793no—
1165#533—793no—
1166#533—793no—
1167#533—793no—
1168#533—793no—
1169#533—793no—
1170#532—793no—
1171#532—793no—
1172#532—793no—
1173C2×C4⋊Q8—793no—
1174C2×C4⋊Q8—793no—
1175#529—793no—
1176#529—793no—
1177#529—793no—
1178#529—793no—
1179#529—793no—
1180#529—793no—
1181#529—793no—
1182#529—793no—
1183#529—793no—
1184#529—793no—
1185#529—793no—
1186#529—793no—
1187#529—793no—
1188#529—793no—
1189#529C2×D7913yes—
1190#529C2×D7913yes—
1191C2×#125—793no—
1192#520—791no—
1193#520—791no—
1194#520—791no—
1195#520—791no—
1196#520—791no—
1197#520C2×D7911yescharacteristic
1198#519—791no—
1199#519—791no—
1200#519—791no—
1201#519C2×D7911yescharacteristic
1202C4×#41—791no—
1203C4×#41—791no—
1204C4×#41—791no—
1205C2×C4×Q8—791no—
1206C2×C4×Q8C2×D7911yescharacteristic
1207C2×#41—791no—
1208C2×#41—791no—
1209C2×#41—796no—
1210C2×#41—796no—
1211C2×#41—796no—
1212C2×#41C22×D7911yescharacteristic
1213C22×Q8—796no—
1214C22×Q8—796no—
1215C22×Q8C22×D7911yescharacteristic
1216C22×Q8C22×D7911yescharacteristic
1217C4⋊Q8—793no—
1218C4⋊Q8—793no—
1219C4⋊Q8—793no—
1220C4⋊Q8—796no—
1221C4⋊Q8—796no—
1222C4⋊Q8—793no—
1223C4⋊Q8—793no—
1224C4⋊Q8—793no—
1225C4⋊Q8—793no—
1226C4⋊Q8—793no—
1227C4⋊Q8—793no—
1228C4⋊Q8—793no—
1229C4⋊Q8—793no—
1230C4⋊Q8—791no—
1231C4⋊Q8—791no—
1232C4⋊Q8—793no—
1233C4⋊Q8—793no—
1234C4⋊Q8—793no—
1235C4⋊Q8—793no—
1236C4⋊Q8—793no—
1237C4⋊Q8—796no—
1238C4⋊Q8—796no—
1239C4⋊Q8—796no—
1240C4⋊Q8—793no—
1241C4⋊Q8—793no—
1242C4⋊Q8—793no—
1243C4⋊Q8—793no—
1244C4⋊Q8—793no—
1245C4⋊Q8—793no—
1246C4⋊Q8—793no—
1247C4⋊Q8—796no—
1248C4⋊Q8C22×D7913yes—
1249C4⋊Q8C22×D7913yes—
1250#127—793no—
1251#127—793no—
1252#127—793no—
1253#126—793no—
1254#126—793no—
1255#126—793no—
1256#126—796no—
1257#126—793no—
1258#126—793no—
1259#126—793no—
1260#126—796no—
1261#126—796no—
1262#126—796no—
1263#126—796no—
1264#126—791no—
1265#126—791no—
1266#126—791no—
1267#126—793no—
1268#126—791no—
1269#126—793no—
1270#126—793no—
1271#126—793no—
1272#126—793no—
1273#126—793no—
1274#126—796no—
1275#126—796no—
1276#126—793no—
1277#126—793no—
1278#126—796no—
1279#126C22×D7916yes—
1280#126C22×D7913yes—
1281#126C22×D7913yes—
1282#126C22×D7916yes—
1283#125—793no—
1284#125—796no—
1285#125—793no—
1286#125—793no—
1287#125—791no—
1288#125—793no—
1289#125—793no—
1290#125—793no—
1291#125—793no—
1292#125—793no—
1293#125—793no—
1294#125—793no—
1295#125—793no—
1296#125—793no—
1297#125—793no—
1298#125—793no—
1299#125—791no—
1300#125—793no—
1301#125—793no—
1302#125—793no—
1303#125—793no—
1304#125—793no—
1305#125—793no—
1306#125—793no—
1307#125—793no—
1308#125—796no—
1309#125—796no—
1310#125—796no—
1311#125—796no—
1312#125—793no—
1313#125—793no—
1314#125—793no—
1315#125—793no—
1316#125—793no—
1317#125—793no—
1318#125—793no—
1319#125—796no—
1320#125C22×D7913yes—
1321#125C22×D7913yes—
1322#125C22×D7913yes—
1323#125C22×D7916yes—
1324#124—793no—
1325#124—793no—
1326#124—793no—
1327#124—793no—
1328#124—791no—
1329#124—793no—
1330#124—793no—
1331#124—793no—
1332#124—793no—
1333#124—793no—
1334#124—793no—
1335#124—793no—
1336#124—796no—
1337#124—796no—
1338#124—796no—
1339#124—796no—
1340#124—796no—
1341#124—796no—
1342#124—793no—
1343#124—796no—
1344#124—796no—
1345#124C22×D7913yes—
1346#124C22×D7913yes—
1347#124C22×D7913yes—
1348#123—791no—
1349#123—793no—
1350#123—793no—
1351#123—793no—
1352#123—793no—
1353#123—793no—
1354#123—796no—
1355#123—796no—
1356#123—793no—
1357#123—793no—
1358#123—796no—
1359#123—796no—
1360#123—796no—
1361#123—796no—
1362#123—793no—
1363#123—796no—
1364#123—793no—
1365#123—793no—
1366#123—793no—
1367#123—796no—
1368#123—796no—
1369#123—793no—
1370#123—793no—
1371#123—793no—
1372#123—793no—
1373#123—793no—
1374#123—793no—
1375#123—796no—
1376#123—796no—
1377#123—796no—
1378#123—796no—
1379#123—796no—
1380#123—796no—
1381#123C22×D7911yescharacteristic
1382#123C22×D7913yes—
1383#123C22×D7916yes—
1384C22⋊Q8—793no—
1385C22⋊Q8—793no—
1386C22⋊Q8—793no—
1387C22⋊Q8—793no—
1388C22⋊Q8—793no—
1389C22⋊Q8—793no—
1390C22⋊Q8—796no—
1391C22⋊Q8—791no—
1392C22⋊Q8—791no—
1393C22⋊Q8—793no—
1394C22⋊Q8—796no—
1395C22⋊Q8—793no—
1396C22⋊Q8—793no—
1397C22⋊Q8—796no—
1398C22⋊Q8—796no—
1399C22⋊Q8—793no—
1400C22⋊Q8—793no—
1401C22⋊Q8—793no—
1402C22⋊Q8—793no—
1403C22⋊Q8—796no—
1404C22⋊Q8—793no—
1405C22⋊Q8—793no—
1406C22⋊Q8—793no—
1407C22⋊Q8—793no—
1408C22⋊Q8—793no—
1409C22⋊Q8—793no—
1410C22⋊Q8—796no—
1411C22⋊Q8—796no—
1412C22⋊Q8—796no—
1413C22⋊Q8—796no—
1414C22⋊Q8—796no—
1415C22⋊Q8—796no—
1416C22⋊Q8—796no—
1417C22⋊Q8—796no—
1418C22⋊Q8—796no—
1419C22⋊Q8—796no—
1420C22⋊Q8—796no—
1421C22⋊Q8—791no—
1422C22⋊Q8—793no—
1423C22⋊Q8—793no—
1424C22⋊Q8—793no—
1425C22⋊Q8—791no—
1426C22⋊Q8—793no—
1427C22⋊Q8—796no—
1428C22⋊Q8—793no—
1429C22⋊Q8—793no—
1430C22⋊Q8—793no—
1431C22⋊Q8—793no—
1432C22⋊Q8—793no—
1433C22⋊Q8—793no—
1434C22⋊Q8—796no—
1435C22⋊Q8—796no—
1436C22⋊Q8—796no—
1437C22⋊Q8C22×D7913yes—
1438C22⋊Q8C22×D7913yes—
1439C22⋊Q8C22×D7913yes—
1440C22⋊Q8C22×D7913yes—
1441C22⋊Q8C22×D7913yes—
1442C22⋊Q8C22×D7916yes—
1443#121—793no—
1444#121—793no—
1445#121—793no—
1446#121—793no—
1447#121—793no—
1448#121—793no—
1449#121—793no—
1450#121—793no—
1451#121—796no—
1452#121—796no—
1453#121—796no—
1454#121—793no—
1455#121—793no—
1456#121—793no—
1457#121—793no—
1458#121—793no—
1459#121—793no—
1460#121—793no—
1461#121—796no—
1462#121—793no—
1463#121—793no—
1464#121—793no—
1465#121—793no—
1466#121—796no—
1467#121—796no—
1468#121—796no—
1469#121C22×D7913yes—
1470#121C22×D7913yes—
1471#121C22×D7913yes—
1472C4×Q8—791no—
1473C4×Q8—791no—
1474C4×Q8—793no—
1475C4×Q8—793no—
1476C4×Q8—791no—
1477C4×Q8—791no—
1478C4×Q8—791no—
1479C4×Q8—791no—
1480C4×Q8—793no—
1481C4×Q8—793no—
1482C4×Q8—793no—
1483C4×Q8—793no—
1484C4×Q8—793no—
1485C4×Q8—793no—
1486C4×Q8—796no—
1487C4×Q8—793no—
1488C4×Q8—793no—
1489C4×Q8—793no—
1490C4×Q8—793no—
1491C4×Q8—793no—
1492C4×Q8—793no—
1493C4×Q8—793no—
1494C4×Q8—793no—
1495C4×Q8—793no—
1496C4×Q8—796no—
1497C4×Q8—796no—
1498C4×Q8—796no—
1499C4×Q8—796no—
1500C4×Q8C22×D7911yescharacteristic
1501C4×Q8C22×D7911yescharacteristic
1502C4×Q8C22×D7913yes—
1503C4×Q8C22×D7913yes—
1504C4×Q8C22×D7911yescharacteristic
1505C4×Q8C22×D7911yescharacteristic
1506C4×Q8C22×D7913yes—
1507C4×Q8C22×D7913yes—
1508C4×Q8C22×D7913yes—
1509C4×D4—793no—
1510C4×D4—793no—
1511C4×D4—793no—
1512C4×D4—793no—
1513C4×D4—793no—
1514C4×D4—793no—
1515C4×D4—793no—
1516C4×D4—793no—
1517C4×D4—793no—
1518C4×D4—793no—
1519C4×D4—796no—
1520C4×D4—793no—
1521C4×D4—793no—
1522C4×D4—793no—
1523C4×D4—793no—
1524C4×D4—793no—
1525C4×D4—793no—
1526C4×D4—796no—
1527C4×D4—796no—
1528C4×D4—796no—
1529C4×D4—796no—
1530C4×D4—796no—
1531C4×D4—793no—
1532C4×D4—793no—
1533C4×D4—793no—
1534C4×D4—793no—
1535C4×D4—793no—
1536C4×D4—793no—
1537C4×D4—793no—
1538C4×D4—796no—
1539C4×D4—796no—
1540C4×D4C22×D7913yes—
1541C4×D4C22×D7913yes—
1542C4×D4C22×D7913yes—
1543C4×D4C22×D7913yes—
1544C4×D4C22×D7913yes—
1545C4×D4C22×D7916yes—
1546#117—793no—
1547#117—793no—
1548#117—793no—
1549#117—793no—
1550#117—793no—
1551#117—793no—
1552#117—793no—
1553#117—793no—
1554#117—793no—
1555#117—793no—
1556#117—796no—
1557#117—796no—
1558#117—796no—
1559#117—796no—
1560#117—796no—
1561#117—793no—
1562#117—793no—
1563#117—793no—
1564#117—793no—
1565#117—796no—
1566#117C22×D7913yes—
1567#117C22×D7913yes—
1568#117C22×D7913yes—
1569#117C22×D7916yes—
1570C2×C4⋊C4—793no—
1571C2×C4⋊C4—793no—
1572C2×C4⋊C4—796no—
1573C2×C4⋊C4—793no—
1574C2×C4⋊C4—793no—
1575C2×C4⋊C4—793no—
1576C2×C4⋊C4—793no—
1577C2×C4⋊C4—796no—
1578C2×C4⋊C4—796no—
1579C2×C4⋊C4—796no—
1580C2×C4⋊C4C22×D7913yes—
1581C2×C4⋊C4C22×D7913yes—
1582C2×C42—793no—
1583C2×C42—793no—
1584C2×C42—793no—
1585C2×C42—793no—
1586C2×C42C22×D7913yes—
1587#41—24no—
1588#41—6326no—
1589#41—6326no—
1590#41—6326no—
1591#41—1584no—
1592#41—1584no—
1593C2×Q8—24no—
1594C2×Q8—24no—
1595C2×Q8—791no—
1596C2×Q8—793no—
1597C2×Q8—791no—
1598C2×Q8—793no—
1599C2×Q8—791no—
1600C2×Q8—793no—
1601C2×Q8—796no—
1602C2×Q8—796no—
1603C2×Q8—796no—
1604C2×Q8—793no—
1605C2×Q8—793no—
1606C2×Q8—793no—
1607C2×Q8—6326no—
1608C2×Q8—6326no—
1609C2×Q8C23×D7913yes—
1610C2×Q8C23×D7913yes—
1611C2×Q8C23×D7913yes—
1612C2×Q8C23×D7911yescharacteristic
1613C2×D4—793no—
1614C2×D4—796no—
1615C2×D4—793no—
1616C2×D4—793no—
1617C2×D4—793no—
1618C2×D4—793no—
1619C2×D4—796no—
1620C2×D4—793no—
1621C2×D4—793no—
1622C2×D4—796no—
1623C2×D4—793no—
1624C2×D4—793no—
1625C2×D4C23×D7913yes—
1626C2×D4C23×D7913yes—
1627C2×D4C23×D7911yescharacteristic
1628C2×D4C23×D7913yes—
1629C22×C4—791no—
1630C22×C4—793no—
1631C22×C4—793no—
1632C22×C4—793no—
1633C22×C4—796no—
1634C22×C4—793no—
1635C22×C4—793no—
1636C22×C4—793no—
1637C22×C4—793no—
1638C22×C4—796no—
1639C22×C4—796no—
1640C22×C4—796no—
1641C22×C4—796no—
1642C22×C4—793no—
1643C22×C4—793no—
1644C22×C4C23×D7913yes—
1645C22×C4C23×D7913yes—
1646C22×C4C23×D7913yes—
1647C22×C4C23×D7911yescharacteristic
1648C22×C4C23×D7913yes—
1649C22×C4C23×D7916yes—
1650C4⋊C4—793no—
1651C4⋊C4—793no—
1652C4⋊C4—793no—
1653C4⋊C4—793no—
1654C4⋊C4—796no—
1655C4⋊C4—793no—
1656C4⋊C4—793no—
1657C4⋊C4—793no—
1658C4⋊C4—793no—
1659C4⋊C4—793no—
1660C4⋊C4—793no—
1661C4⋊C4—796no—
1662C4⋊C4—796no—
1663C4⋊C4—791no—
1664C4⋊C4—791no—
1665C4⋊C4—791no—
1666C4⋊C4—791no—
1667C4⋊C4—793no—
1668C4⋊C4—793no—
1669C4⋊C4—791no—
1670C4⋊C4—791no—
1671C4⋊C4—793no—
1672C4⋊C4—793no—
1673C4⋊C4—793no—
1674C4⋊C4—793no—
1675C4⋊C4—796no—
1676C4⋊C4—793no—
1677C4⋊C4—793no—
1678C4⋊C4—791no—
1679C4⋊C4—793no—
1680C4⋊C4—793no—
1681C4⋊C4—793no—
1682C4⋊C4—791no—
1683C4⋊C4—791no—
1684C4⋊C4—793no—
1685C4⋊C4—791no—
1686C4⋊C4—793no—
1687C4⋊C4—793no—
1688C4⋊C4—793no—
1689C4⋊C4—793no—
1690C4⋊C4—793no—
1691C4⋊C4—793no—
1692C4⋊C4—793no—
1693C4⋊C4—796no—
1694C4⋊C4—796no—
1695C4⋊C4—796no—
1696C4⋊C4—793no—
1697C4⋊C4—791no—
1698C4⋊C4—793no—
1699C4⋊C4—793no—
1700C4⋊C4—793no—
1701C4⋊C4—793no—
1702C4⋊C4—793no—
1703C4⋊C4—793no—
1704C4⋊C4—793no—
1705C4⋊C4—793no—
1706C4⋊C4—791no—
1707C4⋊C4—793no—
1708C4⋊C4—793no—
1709C4⋊C4—793no—
1710C4⋊C4—791no—
1711C4⋊C4—791no—
1712C4⋊C4—793no—
1713C4⋊C4C23×D7913yes—
1714C4⋊C4C23×D7916yes—
1715C4⋊C4C23×D7913yes—
1716C4⋊C4C23×D7913yes—
1717C4⋊C4C23×D7913yes—
1718C4⋊C4C23×D7913yes—
1719C4⋊C4C23×D7913yes—
1720C4⋊C4C23×D7916yes—
1721C4⋊C4C23×D7913yes—
1722C4⋊C4C23×D7913yes—
1723C4⋊C4C23×D7913yes—
1724C4⋊C4C23×D7916yes—
1725C4⋊C4C23×D7911yescharacteristic
1726C4⋊C4C23×D7913yes—
1727C4⋊C4C23×D7913yes—
1728C4⋊C4C23×D7913yes—
1729C4⋊C4C23×D7911yescharacteristic
1730C22⋊C4—791no—
1731C22⋊C4—791no—
1732C22⋊C4—793no—
1733C22⋊C4—793no—
1734C22⋊C4—793no—
1735C22⋊C4—791no—
1736C22⋊C4—793no—
1737C22⋊C4—796no—
1738C22⋊C4—793no—
1739C22⋊C4—793no—
1740C22⋊C4—793no—
1741C22⋊C4—791no—
1742C22⋊C4—791no—
1743C22⋊C4—791no—
1744C22⋊C4—791no—
1745C22⋊C4—793no—
1746C22⋊C4—793no—
1747C22⋊C4—793no—
1748C22⋊C4—796no—
1749C22⋊C4—796no—
1750C22⋊C4—796no—
1751C22⋊C4—793no—
1752C22⋊C4—793no—
1753C22⋊C4—793no—
1754C22⋊C4—796no—
1755C22⋊C4—796no—
1756C22⋊C4—793no—
1757C22⋊C4—793no—
1758C22⋊C4—793no—
1759C22⋊C4—793no—
1760C22⋊C4—793no—
1761C22⋊C4—793no—
1762C22⋊C4—793no—
1763C22⋊C4—796no—
1764C22⋊C4—793no—
1765C22⋊C4—793no—
1766C22⋊C4—793no—
1767C22⋊C4C23×D7916yes—
1768C22⋊C4C23×D7911yescharacteristic
1769C22⋊C4C23×D7913yes—
1770C22⋊C4C23×D7913yes—
1771C22⋊C4C23×D7913yes—
1772C22⋊C4C23×D7913yes—
1773C22⋊C4C23×D7916yes—
1774C22⋊C4C23×D7913yes—
1775C22⋊C4C23×D7913yes—
1776C22⋊C4C23×D7911yescharacteristic
1777C22⋊C4C23×D7913yes—
1778C22⋊C4C23×D7911yescharacteristic
1779C42—791no—
1780C42—791no—
1781C42—791no—
1782C42—793no—
1783C42—793no—
1784C42—793no—
1785C42—793no—
1786C42—793no—
1787C42—793no—
1788C42—793no—
1789C42—793no—
1790C42—793no—
1791C42—793no—
1792C42—793no—
1793C42—796no—
1794C42—796no—
1795C42—796no—
1796C42C23×D7913yes—
1797C42C23×D7913yes—
1798C42C23×D7913yes—
1799C42C23×D7913yes—
1800C42C23×D7913yes—
1801C42C23×D7913yes—
1802C42C23×D7916yes—
1803C23—793no—
1804C23—793no—
1805C23C24×D7911yescharacteristic
1806C23C24×D7911yescharacteristic
1807C23C24×D7913yes—
1808Q8—26no—
1809Q8—26no—
1810Q8—43no—
1811Q8—3163no—
1812Q8—3163no—
1813Q8—3166no—
1814Q8—3163no—
1815Q8—3166no—
1816Q8—3166no—
1817Q8—3163no—
1818Q8—3161no—
1819Q8—3163no—
1820Q8—3161no—
1821Q8—3161no—
1822Q8—3163no—
1823Q8#1457920814yes—
1824D4—26no—
1825D4—43no—
1826D4—41no—
1827D4—43no—
1828D4—3166no—
1829D4—3163no—
1830D4—3163no—
1831D4—3163no—
1832D4—3166no—
1833D4—3163no—
1834D4—3163no—
1835D4—3166no—
1836D4—3163no—
1837D4—3163no—
1838D4—1586no—
1839D4—1586no—
1840C2×C4—26no—
1841C2×C4—26no—
1842C2×C4—26no—
1843C2×C4—41no—
1844C2×C4—46no—
1845C2×C4—43no—
1846C2×C4—3163no—
1847C2×C4—3166no—
1848C2×C4—3166no—
1849C2×C4—3163no—
1850C2×C4—3166no—
1851C2×C4—3166no—
1852C2×C4—3163no—
1853C2×C4—3163no—
1854C2×C4—3163no—
1855C2×C4—3166no—
1856C2×C4—3163no—
1857C2×C4—3163no—
1858C2×C4—3161no—
1859C2×C4—791no—
1860C2×C4—793no—
1861C2×C4—791no—
1862C2×C4—791no—
1863C2×C4—791no—
1864C2×C4—791no—
1865C2×C4—791no—
1866C2×C4—791no—
1867C2×C4—793no—
1868C2×C4—793no—
1869C2×C4—793no—
1870C2×C4—793no—
1871C2×C4—791no—
1872C2×C4—793no—
1873C2×C4—1586no—
1874C2×C4—1586no—
1875C2×C4C24×D7913yes—
1876C2×C4C24×D7913yes—
1877C2×C4C24×D7911yescharacteristic
1878C2×C4C24×D7911yescharacteristic
1879C2×C4C24×D7911yescharacteristic
1880C2×C4C24×D7913yes—
1881C2×C4C24×D7913yes—
1882C2×C4C24×D7911yescharacteristic
1883C2×C4C24×D7911yescharacteristic
1884C2×C4C24×D7913yes—
1885C2×C4C24×D7913yes—
1886C2×C4C24×D7913yes—
1887C22—21no—
1888C22—21no—
1889C22—23no—
1890C22—21no—
1891C22—23no—
1892C22—21no—
1893C22—21no—
1894C22—21no—
1895C22—23no—
1896C22—1583no—
1897C22—1583no—
1898C22—1583no—
1899C22—1583no—
1900C22—1583no—
1901C22—1583no—
1902C22C25×D7911yescharacteristic
1903C4—21no—
1904C4—23no—
1905C4—23no—
1906C4—23no—
1907C4—23no—
1908C4—23no—
1909C4—21no—
1910C4—21no—
1911C4—21no—
1912C4—23no—
1913C4—21no—
1914C4—1581no—
1915C4—1581no—
1916C4—1583no—
1917C4—1581no—
1918C4—1583no—
1919C4—1583no—
1920C4—1583no—
1921C4—1581no—
1922C4—1583no—
1923C4—1581no—
1924C4—1581no—
1925C4—1581no—
1926C4—1583no—
1927C4—1581no—
1928C4C2×#1457920816yes—
1929C2—41no—
1930C2—41no—
1931C2—43no—
1932C2—3163no—
1933C2—3163no—
1934C2C22×#1457920811yescharacteristic
1935C2#2377821111yescharacteristic
1936C2#2377821211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3516C2
hypercenter#3516D79
hypocenterC79#63061
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3516

Complements

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

NH ≅ G/Ntype
1. #23778039C2semidirect
2. #23778037C2semidirect
3. #23778005C2semidirect
4. #23777924C2semidirect
5. #23777908C2semidirect
6. #23777903C2semidirect
7. #23777873C2semidirect
8. #23777869C2semidirect
9. #23777836C2semidirect
10. #23777835C2semidirect
11. #23777813C2semidirect
12. #23777791C2semidirect
13. #23777784C2semidirect
14. #23777742C2semidirect
15. #23777741C2semidirect
16. #23777545C2semidirect
17. #23777511C2semidirect
18. #23777510C2semidirect
19. #23777510C2semidirect
20. #23777502C2semidirect
21. #23777485C2semidirect
22. #23777476C2semidirect
23. #23777412C2semidirect
24. #23777400C2semidirect
25. #23777394C2semidirect
26. #23777225C2semidirect
27. #23777217C2semidirect
28. #23777213C2semidirect
29. #23777210C2semidirect
30. #23777206C2semidirect
31. C79×#3516C2semidirect
994. #3516D79semidirect
1000. C79#63061semidirect

Maximal subgroups

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

subgroupindex
#237780392
#237780372
#237780052
#237779242
#237779082
#237779032
#237778732
#237778692
#237778362
#237778352
#237778132
#237777912
#237777842
#237777422
#237777412
#237775452
#237775112
#237775102
#237775022
#237774852
#237774762
#237774122
#237774002
#237773942
#237772252
#237772172
#237772132
#237772102
#237772062
C79×#35162
#6306179