Finite Group Databasebeta

← #35201925

Subgroups — #35201925

Order 20224.

6286 conjugacy classes of subgroups.

The subgroup lattice has 1874 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778097C212yesmaximal, complemented
2#23778081C214yesmaximal, complemented
3#23778042C214yesmaximal, complemented
4#23778024C214yesmaximal, complemented
5#23778022C214yesmaximal, complemented
6#23778015C214yesmaximal, complemented
7#23778006C212yesmaximal, complemented
8#23778000C212yesmaximal, complemented
9#23777900C214yesmaximal, complemented
10#23777879C214yesmaximal, complemented
11#23777851C212yesmaximal, complemented
12#23777757C211yesmaximal, characteristic, complemented
13#23777744C212yesmaximal, complemented
14#23777609C214yesmaximal, complemented
15#23777571C212yesmaximal, complemented
16#23777546C212yesmaximal, complemented
17#23777460C214yesmaximal, complemented
18#23777372C212yesmaximal, complemented
19#23777294C211yesmaximal, characteristic, complemented
20#23777284C212yesmaximal, complemented
21#23777146C214yesmaximal, complemented
22#23777096C212yesmaximal, complemented
23C2×#563×C79C211yesmaximal, characteristic, complemented
24C79⋊#564C2212yescomplemented
25C79⋊#564C2212yescomplemented
26#19099317C2212yescomplemented
27#19099317C2212yescomplemented
28#19099316C2212yescomplemented
29#19099315C2214yescomplemented
30#19099315C2214yescomplemented
31#19099315C2214yescomplemented
32#19099315C2214yescomplemented
33#19099314C2214yescomplemented
34#19099314C2214yescomplemented
35#19099313C2211yescharacteristic
36#19099312C2214yescomplemented
37#19099312C2212yescomplemented
38#19099312C2212yescomplemented
39#19099310C2214yescomplemented
40#19099309C2214yescomplemented
41#19099309C2214yescomplemented
42#19099307C2212yes—
43#19099305C2211yescharacteristic
44#19099303C2212yescomplemented
45#19099297C2212yescomplemented
46#19099295C2214yescomplemented
47#19099293C2212yescomplemented
48#19099290C2212yescomplemented
49#19099290C2214yescomplemented
50#19099288C2214yescomplemented
51#19099288C2214yescomplemented
52#19099287C2214yescomplemented
53#19099287C2214yescomplemented
54#19099284C2214yescomplemented
55#19099284C2214yescomplemented
56#19099282C2214yescomplemented
57#19099280C2214yescomplemented
58#19099280C2214yescomplemented
59#19099280C2214yescomplemented
60#19099280C2214yescomplemented
61#19099279C2212yescomplemented
62#19099275C2212yes—
63#19099274C2214yescomplemented
64#19099271C2214yescomplemented
65#19099271C2214yescomplemented
66#19099269C2212yescomplemented
67#19099268C2212yescomplemented
68#19099268C2214yescomplemented
69#19099267C2214yescomplemented
70#19099267C2214yescomplemented
71#19099266C2212yescomplemented
72#19099264C2214yescomplemented
73#19099264C2214yescomplemented
74#19099261C2212yes—
75#19099258C2214yescomplemented
76#19099255C2214yescomplemented
77#19099255C2214yescomplemented
78#19099251C2214yescomplemented
79#19099251C2212yescomplemented
80#19099250C2214yes—
81#19099250C2214yescomplemented
82#19099249C2214yescomplemented
83#19099249C2214yescomplemented
84#19099249C2214yescomplemented
85#19099249C2214yescomplemented
86#19099248C2214yescomplemented
87#19099248C2214yescomplemented
88#19099248C2214yescomplemented
89#19099248C2214yescomplemented
90#19099248C2214yescomplemented
91#19099248C2214yescomplemented
92#19099248C2212yescomplemented
93#19099248C2214yescomplemented
94#19099247C2214yescomplemented
95#19099247C2214yescomplemented
96#19099245C2214yescomplemented
97#19099245C2214yescomplemented
98#19099243C2212yes—
99#19099241C2212yescomplemented
100#19099240C2214yescomplemented
101#19099240C2214yescomplemented
102#19099239C2214yes—
103#19099239C2214yes—
104#19099239C2214yes—
105#19099239C2214yescomplemented
106#19099239C2214yescomplemented
107#19099239C2214yescomplemented
108#19099238C2214yescomplemented
109#19099238C2214yescomplemented
110#19099236C2214yes—
111#19099236C2214yescomplemented
112#19099214C2212yes—
113#19099214C2214yes—
114#19099214C2214yescomplemented
115#19099203C2214yes—
116#19099203C2214yescomplemented
117#19099194C2214yescomplemented
118#19099193C2214yescomplemented
119#19099192C2214yescomplemented
120#19099190C2214yescomplemented
121#19099190C2214yescomplemented
122#19099189C2212yescomplemented
123#19099188C2214yescomplemented
124#19099187C2214yescomplemented
125#19099187C2214yescomplemented
126#19099186C2214yescomplemented
127#19099186C2214yescomplemented
128#19099183C2214yescomplemented
129#19099183C2214yescomplemented
130#19099182C2212yes—
131#19099182C2212yescomplemented
132#19099181C2214yes—
133#19099179C2214yescomplemented
134#19099179C2214yescomplemented
135#19099179C2214yescomplemented
136#19099177C2214yes—
137#19099176C2214yescomplemented
138#19099174C2214yescomplemented
139#19099174C2214yescomplemented
140#19099173C2214yescomplemented
141#19099173C2214yescomplemented
142#19099172C2214yescomplemented
143#19099172C2214yescomplemented
144#19099172C2214yescomplemented
145#19099170C2214yescomplemented
146#19099170C2214yescomplemented
147#19099170C2214yescomplemented
148#19099170C2214yescomplemented
149#19099170C2214yescomplemented
150#19099165C2214yes—
151#19099162C2214yescomplemented
152#19099161C2214yescomplemented
153#19099160C2214yes—
154#19099160C2214yescomplemented
155#19099159C2214yescomplemented
156#19099159C2214yescomplemented
157#19099157C2214yes—
158#19099157C2214yescomplemented
159#19099156C2214yes—
160#19099154C2214yescomplemented
161#19099154C2214yescomplemented
162#19099154C2214yescomplemented
163#19099153C2214yescomplemented
164#19099152C2214yescomplemented
165#19099151C2214yes—
166#19099149C2214yes—
167#19099147C2214yes—
168#19099137C2212yes—
169#19099137C2212yes—
170#19099137C2211yescharacteristic, complemented
171#19099137C2214yescomplemented
172#19099130C2211yescharacteristic
173#19099122C2212yes—
174#19099120C2212yescomplemented
175#19099120C2211yescharacteristic, complemented
176#19099119C2212yescomplemented
177#19099118C2214yescomplemented
178#19099118C2214yescomplemented
179#19099115C2214yescomplemented
180#19099115C2214yescomplemented
181#19099099C2214yescomplemented
182#19099099C2214yescomplemented
183#19099098C2212yescomplemented
184#19099098C2212yescomplemented
185#19099097C2212yes—
186#19099097C2214yescomplemented
187#19099096C2214yescomplemented
188#19099096C2214yescomplemented
189#19099096C2214yescomplemented
190#19099092C2212yes—
191#19099092C2212yescomplemented
192#19099090C2214yes—
193#19099090C2214yescomplemented
194#126×D79C2214yescomplemented
195#125×D79C2212yescomplemented
196#19099074C2214yes—
197C2×#14579144C2212yescomplemented
198#19099044C2214yescomplemented
199#19099041C2211yescharacteristic, complemented
200#19099041C2212yescomplemented
201#19099038C2211yescharacteristic
202#19099036C2212yescomplemented
203C4×#11929624C2212yes—
204C4×#11929624C2211yescharacteristic, complemented
205C2×#14579120C2212yescomplemented
206#563×C79C2212yes—
207#563×C79C2212yes—
208#563×C79C2211yescharacteristic, complemented
209#563×C79C2214yescomplemented
210#563×C79C2211yescharacteristic, complemented
211#563×C79C2214yescomplemented
212#563×C79C2212yescomplemented
213C2×C4⋊Q8×C79C2212yescomplemented
214C2×#126×C79C2214yescomplemented
215C2×#125×C79C2212yescomplemented
216C2×#124×C79C2211yescharacteristic
217C2×#123×C79C2212yes—
218C2×C22⋊Q8×C79C2214yescomplemented
219C2×#11929624C2312yes—
220C2×#11929624C2314yes—
221C2×#11929624C2311yescharacteristic
222C22×C22⋊D79C2312yes—
223#14579161C2312yes—
224#14579161C2314yes—
225#14579160C2312yes—
226#14579160C2314yes—
227#14579160C2314yes—
228#14579160C2314yes—
229#14579160C2314yes—
230#14579160C2314yes—
231#14579160C2314yes—
232#14579160C2314yes—
233#14579160C2312yes—
234#14579159C2312yes—
235#14579159C2314yes—
236#14579159C2312yes—
237#14579159C2314yes—
238#14579159C2314yes—
239#14579159C2312yes—
240#14579157C2312yes—
241#14579156C2314yes—
242#14579156C2314yes—
243#14579156C2314yes—
244#14579156C2314yes—
245#14579156C2314yes—
246#14579156C2314yes—
247#14579156C2314yes—
248#14579156C2314yes—
249#14579156C2314yes—
250#14579156C2314yes—
251#14579156C2314yes—
252#14579156C2314yes—
253#14579156C2314yes—
254#14579156C2314yes—
255#14579156C2314yes—
256#14579156C2314yes—
257#14579156C2314yes—
258#14579156C2314yes—
259#14579156C2314yes—
260#14579156C2314yes—
261#14579155C2314yes—
262#14579155C2314yes—
263#14579155C2314yes—
264#14579154C2314yes—
265#14579154C2314yes—
266#14579154C2314yes—
267#14579154C2314yes—
268#14579154C2314yes—
269#14579154C2314yes—
270#14579154C2314yes—
271#14579154C2314yes—
272#14579154C2314yes—
273#14579154C2314yes—
274#14579154C2314yes—
275#14579154C2314yes—
276#14579154C2314yes—
277#14579154C2314yes—
278#14579153C2314yes—
279#14579153C2314yes—
280#14579153C2312yes—
281#14579153C2312yes—
282#14579152C2314yes—
283#14579152C2314yes—
284#14579152C2314yes—
285#14579152C2314yes—
286#14579152C2314yes—
287#14579152C2314yes—
288#14579152C2314yes—
289#14579152C2314yes—
290#14579152C2312yes—
291#14579152C2314yes—
292#14579152C2314yes—
293#14579152C2312yes—
294#14579152C2314yes—
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#14579151C2314yes—
311#14579151C2314yes—
312#14579151C2314yes—
313#14579151C2314yes—
314#14579151C2314yes—
315#14579151C2314yes—
316#14579151C2314yes—
317#14579150C2312yes—
318#14579150C2314yes—
319#14579150C2312yes—
320#14579150C2314yes—
321#14579150C2314yes—
322#14579150C2312yes—
323#14579149C2314yes—
324#14579149C2312yes—
325#14579148C2312yes—
326#14579147C2314yes—
327#14579147C2314yes—
328#14579147C2314yes—
329#14579147C2314yes—
330#14579147C2314yes—
331#14579147C2314yes—
332#14579147C2314yes—
333#14579147C2314yes—
334#14579147C2314yes—
335#14579147C2314yes—
336#14579146C2314yes—
337#14579146C2314yes—
338#14579146C2314yes—
339#14579146C2314yes—
340#14579146C2314yes—
341#14579146C2314yes—
342#14579146C2314yes—
343#14579146C2314yes—
344#14579146C2314yes—
345#14579146C2314yes—
346#14579145C2314yes—
347#14579145C2314yes—
348#14579145C2314yes—
349#14579145C2314yes—
350#14579145C2314yes—
351#14579145C2314yes—
352#14579144C2314yes—
353#14579144C2314yes—
354#14579144C2314yes—
355#14579144C2314yes—
356#14579144C2314yes—
357#14579144C2314yes—
358#14579144C2314yes—
359#14579144C2314yes—
360#14579144C2314yes—
361#14579143C2314yes—
362#14579143C2314yes—
363#14579143C2314yes—
364#14579143C2314yes—
365#14579143C2314yes—
366#14579143C2314yes—
367#14579143C2314yes—
368#14579143C2314yes—
369#14579143C2314yes—
370#14579143C2314yes—
371#14579142C2312yes—
372#14579142C2312yes—
373#14579141C2314yes—
374#14579141C2314yes—
375#14579141C2314yes—
376#14579141C2314yes—
377#14579141C2314yes—
378#14579141C2314yes—
379#14579141C2314yes—
380#14579141C2312yes—
381#14579141C2314yes—
382#14579141C2312yes—
383#14579140C2314yes—
384#14579140C2314yes—
385#14579140C2314yes—
386#14579140C2314yes—
387#14579140C2314yes—
388#14579140C2312yes—
389#14579140C2314yes—
390#14579139C2314yes—
391#14579139C2314yes—
392#14579139C2314yes—
393#14579139C2314yes—
394#14579139C2314yes—
395#14579139C2314yes—
396#14579139C2314yes—
397#14579139C2314yes—
398#14579139C2314yes—
399#14579139C2314yes—
400#14579139C2314yes—
401#14579139C2314yes—
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#14579137C2314yes—
415#14579137C2314yes—
416#14579137C2314yes—
417#14579137C2314yes—
418#14579137C2314yes—
419#14579137C2314yes—
420#14579137C2312yes—
421#14579137C2312yes—
422#14579137C2314yes—
423#14579137C2314yes—
424#14579136C2312yes—
425#14579136C2314yes—
426#14579136C2312yes—
427#14579136C2314yes—
428#14579135C2314yes—
429#14579135C2314yes—
430#14579135C2312yes—
431#14579135C2314yes—
432#14579134C2314yes—
433#14579134C2314yes—
434#14579134C2314yes—
435#14579134C2314yes—
436#14579134C2314yes—
437#14579134C2314yes—
438#14579133C2314yes—
439#14579133C2314yes—
440#14579132C2312yes—
441#14579132C2312yes—
442#14579131C2314yes—
443#14579131C2314yes—
444#14579130C2314yes—
445#14579130C2314yes—
446#14579129C2312yes—
447#14579129C2312yes—
448Q8×Dic79C2314yes—
449Q8×Dic79C2314yes—
450Q8×Dic79C2312yes—
451Q8×Dic79C2314yes—
452Q8×Dic79C2314yes—
453Q8×Dic79C2312yes—
454Q8×Dic79C2314yes—
455C4×Dic158C2314yes—
456C4×Dic158C2314yes—
457C4×Dic158C2314yes—
458C4×Dic158C2314yes—
459C4×Dic158C2314yes—
460C4×Dic158C2312yes—
461C4×Dic158C2312yes—
462#14579126C2312yes—
463#14579126C2314yes—
464#14579126C2314yes—
465#14579126C2314yes—
466#14579126C2314yes—
467#14579126C2314yes—
468#14579126C2314yes—
469#14579126C2314yes—
470#14579126C2314yes—
471#14579126C2314yes—
472#14579126C2314yes—
473#14579126C2312yes—
474C4×D316C2312yes—
475C4×D316C2314yes—
476C4×D316C2314yes—
477C4×D316C2312yes—
478D4×Dic79C2314yes—
479D4×Dic79C2312yes—
480D4×Dic79C2312yes—
481#14579123C2314yes—
482#14579123C2314yes—
483#14579123C2312yes—
484#14579123C2314yes—
485#14579123C2314yes—
486#14579123C2312yes—
487C4×C22⋊D79C2314yes—
488C4×C22⋊D79C2314yes—
489C4×C22⋊D79C2314yes—
490C4×C22⋊D79C2314yes—
491C4×C22⋊D79C2314yes—
492C4×C22⋊D79C2314yes—
493C4×C22⋊D79C2314yes—
494C4×C22⋊D79C2312yes—
495C4×C22⋊D79C2314yes—
496C4×C22⋊D79C2314yes—
497C4×C22⋊D79C2312yes—
498(C22⋊D79)⋊C4C2314yes—
499(C22⋊D79)⋊C4C2314yes—
500(C22⋊D79)⋊C4C2314yes—
501(C22⋊D79)⋊C4C2314yes—
502(C22⋊D79)⋊C4C2314yes—
503(C22⋊D79)⋊C4C2314yes—
504(C22⋊D79)⋊C4C2314yes—
505(C22⋊D79)⋊C4C2314yes—
506(C22⋊D79)⋊C4C2314yes—
507(C22⋊D79)⋊C4C2314yes—
508#14579120C2312yes—
509#14579120C2312yes—
510#14579120C2314yes—
511#14579120C2311yescharacteristic
512#14579120C2314yes—
513#14579120C2314yes—
514#14579120C2314yes—
515#14579120C2314yes—
516#14579120C2312yes—
517#14579120C2311yescharacteristic
518#14579120C2311yescharacteristic
519#14579119C2314yes—
520#14579119C2314yes—
521#14579119C2314yes—
522#14579119C2314yes—
523#14579119C2314yes—
524#14579119C2314yes—
525#14579119C2314yes—
526#14579119C2314yes—
527#14579119C2314yes—
528#14579119C2312yes—
529#14579119C2312yes—
530#14579118C2314yes—
531#14579118C2314yes—
532#14579118C2312yes—
533#14579118C2314yes—
534#14579118C2314yes—
535#14579117C2314yes—
536#14579117C2314yes—
537#14579117C2314yes—
538#14579117C2314yes—
539#14579117C2314yes—
540#14579117C2314yes—
541#14579117C2314yes—
542C2×C4⋊Dic79C2314yes—
543C2×Dic79⋊C4C2314yes—
544C4⋊C4×D79C2312yes—
545C4⋊C4×D79C2314yes—
546C4⋊C4×D79C2314yes—
547C4⋊C4×D79C2314yes—
548C4⋊C4×D79C2312yes—
549C4⋊C4×D79C2314yes—
550C4⋊C4×D79C2314yes—
551C2×C22⋊Dic79C2312yes—
552C2×C22⋊Dic79C2312yes—
553C2×C22⋊Dic79C2312yes—
554C2×(C2×D79)⋊C4C2314yes—
555C22⋊C4×D79C2314yes—
556C22⋊C4×D79C2314yes—
557C22⋊C4×D79C2314yes—
558C2×C4×Dic79C2314yes—
559C42×D79C2314yes—
560C42×D79C2312yes—
561C22×Q8×C79C2311yescharacteristic
562C22×Q8×C79C2312yes—
563C22×D4×C79C2311yescharacteristic
564C23×C4×C79C2312yes—
565C4⋊Q8×C79C2312yes—
566C4⋊Q8×C79C2312yes—
567C4⋊Q8×C79C2314yes—
568C4⋊Q8×C79C2314yes—
569C4⋊Q8×C79C2312yes—
570C4⋊Q8×C79C2312yes—
571#126×C79C2314yes—
572#126×C79C2314yes—
573#126×C79C2314yes—
574#126×C79C2314yes—
575#126×C79C2314yes—
576#126×C79C2314yes—
577#126×C79C2314yes—
578#126×C79C2314yes—
579#125×C79C2314yes—
580#125×C79C2312yes—
581#125×C79C2312yes—
582#125×C79C2314yes—
583#125×C79C2312yes—
584#125×C79C2312yes—
585#124×C79C2314yes—
586#124×C79C2311yescharacteristic
587#124×C79C2311yescharacteristic
588#124×C79C2311yescharacteristic
589#124×C79C2311yescharacteristic
590#123×C79C2314yes—
591#123×C79C2312yes—
592#123×C79C2312yes—
593#123×C79C2314yes—
594#123×C79C2312yes—
595#123×C79C2312yes—
596C22⋊Q8×C79C2314yes—
597C22⋊Q8×C79C2314yes—
598C22⋊Q8×C79C2314yes—
599C22⋊Q8×C79C2314yes—
600C22⋊Q8×C79C2314yes—
601C22⋊Q8×C79C2314yes—
602C22⋊Q8×C79C2314yes—
603C22⋊Q8×C79C2314yes—
604C2×C4⋊C4×C79C2314yes—
605C2×C4⋊C4×C79C2312yes—
606C2×C4⋊C4×C79C2314yes—
607C2×C4⋊C4×C79C2314yes—
608C2×C4⋊C4×C79C2312yes—
609C2×C22⋊C4×C79C2312yes—
610C2×C22⋊C4×C79C2314yes—
611C2×C22⋊C4×C79C2314yes—
612C2×C42×C79C2311yescharacteristic
613C2×C42×C79C2312yes—
614C23×D79C2412yes—
615#11929624—44no—
616#11929624—48no—
617#11929624—42no—
618C2×Dic158C2414yes—
619C2×Dic158C2412yes—
620C2×Dic158C2411yescharacteristic
621C2×Dic158C2414yes—
622C2×Dic158C2414yes—
623C2×Dic158C2414yes—
624C2×Dic158C2412yes—
625C2×Dic158C2414yes—
626C2×D316C2414yes—
627C2×D316C2412yes—
628C2×D316C2411yescharacteristic
629C2×D316C2412yes—
630C2×D316C2414yes—
631C2×C22⋊D79—44no—
632C2×C22⋊D79C2412yes—
633C2×C22⋊D79C2414yes—
634C2×C22⋊D79C2414yes—
635C2×C22⋊D79C2414yes—
636C2×C22⋊D79C2414yes—
637C2×C22⋊D79C2414yes—
638C2×C22⋊D79C2414yes—
639C22×Dic79C2414yes—
640C22×Dic79C2414yes—
641C22×Dic79C2414yes—
642C22×Dic79C2412yes—
643C2×C4×D79C2414yes—
644C2×C4×D79C2412yes—
645C2×C4×D79C2414yes—
646C2×C4×D79C2414yes—
647C2×C4×D79C2414yes—
648C2×C4×D79C2414yes—
649C2×C4×D79C2412yes—
650C2×C4×D79C2412yes—
651C2×C4×D79C2414yes—
652C2×C4×D79C2414yes—
653C2×C4×D79C2414yes—
654C4⋊Dic79C2414yes—
655C4⋊Dic79C2414yes—
656C4⋊Dic79C2412yes—
657C4⋊Dic79C2412yes—
658C4⋊Dic79C2414yes—
659C4⋊Dic79C2414yes—
660C4⋊Dic79C2414yes—
661C4⋊Dic79C2414yes—
662C4⋊Dic79C2414yes—
663C4⋊Dic79C2414yes—
664C4⋊Dic79C2414yes—
665C4⋊Dic79C2412yes—
666C4⋊Dic79C2412yes—
667C4⋊Dic79C2414yes—
668C4⋊Dic79C2412yes—
669C4⋊Dic79C2414yes—
670C4⋊Dic79C2414yes—
671C4⋊Dic79C2414yes—
672C4⋊Dic79C2414yes—
673Dic79⋊C4C2412yes—
674Dic79⋊C4C2414yes—
675Dic79⋊C4C2414yes—
676Dic79⋊C4C2414yes—
677Dic79⋊C4C2414yes—
678Dic79⋊C4C2414yes—
679Dic79⋊C4C2414yes—
680Dic79⋊C4C2414yes—
681Dic79⋊C4C2414yes—
682Dic79⋊C4C2414yes—
683Dic79⋊C4C2414yes—
684Dic79⋊C4C2414yes—
685Dic79⋊C4C2414yes—
686Dic79⋊C4C2414yes—
687Dic79⋊C4C2414yes—
688Dic79⋊C4C2414yes—
689Dic79⋊C4C2414yes—
690Dic79⋊C4C2414yes—
691Dic79⋊C4C2414yes—
692Dic79⋊C4C2414yes—
693Dic79⋊C4C2414yes—
694Dic79⋊C4C2412yes—
695Dic79⋊C4C2414yes—
696Dic79⋊C4C2414yes—
697Dic79⋊C4C2414yes—
698Dic79⋊C4C2414yes—
699Dic79⋊C4C2414yes—
700Dic79⋊C4C2414yes—
701Dic79⋊C4C2414yes—
702Dic79⋊C4C2414yes—
703C22⋊Dic79C2414yes—
704C22⋊Dic79C2414yes—
705C22⋊Dic79C2414yes—
706C22⋊Dic79C2411yescharacteristic
707C22⋊Dic79C2411yescharacteristic
708C22⋊Dic79C2412yes—
709C22⋊Dic79C2414yes—
710C22⋊Dic79C2412yes—
711C22⋊Dic79C2412yes—
712C22⋊Dic79C2414yes—
713C22⋊Dic79C2414yes—
714C22⋊Dic79C2414yes—
715C22⋊Dic79C2412yes—
716(C2×D79)⋊C4C2414yes—
717(C2×D79)⋊C4C2414yes—
718(C2×D79)⋊C4C2414yes—
719(C2×D79)⋊C4C2414yes—
720(C2×D79)⋊C4C2414yes—
721(C2×D79)⋊C4C2414yes—
722(C2×D79)⋊C4C2414yes—
723(C2×D79)⋊C4C2414yes—
724(C2×D79)⋊C4C2414yes—
725(C2×D79)⋊C4C2414yes—
726(C2×D79)⋊C4C2412yes—
727(C2×D79)⋊C4C2414yes—
728(C2×D79)⋊C4C2414yes—
729(C2×D79)⋊C4C2414yes—
730(C2×D79)⋊C4C2414yes—
731(C2×D79)⋊C4C2414yes—
732(C2×D79)⋊C4C2412yes—
733(C2×D79)⋊C4C2414yes—
734(C2×D79)⋊C4C2414yes—
735(C2×D79)⋊C4C2414yes—
736(C2×D79)⋊C4C2414yes—
737(C2×D79)⋊C4C2414yes—
738(C2×D79)⋊C4C2414yes—
739(C2×D79)⋊C4C2414yes—
740C4×Dic79C2414yes—
741C4×Dic79C2412yes—
742C4×Dic79C2412yes—
743C4×Dic79C2414yes—
744C4×Dic79C2412yes—
745C4×Dic79C2414yes—
746C4×Dic79C2414yes—
747C4×Dic79C2414yes—
748C4×Dic79C2414yes—
749C4×Dic79C2414yes—
750C4×Dic79C2414yes—
751C4×Dic79C2412yes—
752C4×Dic79C2414yes—
753C4×Dic79C2414yes—
754C4×Dic79C2414yes—
755C4×Dic79C2414yes—
756C4×Dic79C2412yes—
757C4×Dic79C2414yes—
758C4×Dic79C2412yes—
759C4×Dic79C2412yes—
760C24×C79C2412yes—
761C2×Q8×C79—44no—
762C2×Q8×C79—42no—
763C2×Q8×C79C2412yes—
764C2×Q8×C79C2414yes—
765C2×Q8×C79C2412yes—
766C2×Q8×C79C2411yescharacteristic
767C2×Q8×C79C2411yescharacteristic
768C2×Q8×C79C2412yes—
769C2×D4×C79—42no—
770C2×D4×C79C2411yescharacteristic
771C2×D4×C79C2412yes—
772C2×D4×C79C2411yescharacteristic
773C22×C4×C79—44no—
774C22×C4×C79C2412yes—
775C22×C4×C79C2411yescharacteristic
776C22×C4×C79C2414yes—
777C22×C4×C79C2412yes—
778C22×C4×C79C2414yes—
779C22×C4×C79C2412yes—
780C22×C4×C79C2414yes—
781C22×C4×C79C2412yes—
782C4⋊C4×C79C2412yes—
783C4⋊C4×C79C2412yes—
784C4⋊C4×C79C2414yes—
785C4⋊C4×C79C2414yes—
786C4⋊C4×C79C2414yes—
787C4⋊C4×C79C2414yes—
788C4⋊C4×C79C2414yes—
789C4⋊C4×C79C2414yes—
790C4⋊C4×C79C2414yes—
791C4⋊C4×C79C2414yes—
792C4⋊C4×C79C2414yes—
793C4⋊C4×C79C2414yes—
794C4⋊C4×C79C2414yes—
795C4⋊C4×C79C2414yes—
796C4⋊C4×C79C2414yes—
797C4⋊C4×C79C2412yes—
798C4⋊C4×C79C2414yes—
799C4⋊C4×C79C2412yes—
800C22⋊C4×C79C2414yes—
801C22⋊C4×C79C2414yes—
802C22⋊C4×C79C2414yes—
803C22⋊C4×C79C2414yes—
804C22⋊C4×C79C2414yes—
805C22⋊C4×C79C2414yes—
806C22⋊C4×C79C2414yes—
807C22⋊C4×C79C2414yes—
808C22⋊C4×C79C2414yes—
809C22⋊C4×C79C2412yes—
810C22⋊C4×C79C2412yes—
811C42×C79C2411yescharacteristic
812C42×C79C2411yescharacteristic
813C42×C79C2412yes—
814C42×C79C2412yes—
815C42×C79C2412yes—
816C42×C79C2414yes—
817C23×C79—24no—
818C23×C79—44no—
819C23×C79C2512yes—
820C23×C79C2512yes—
821C23×C79C2511yescharacteristic
822C22×D79—42no—
823C22×D79—44no—
824C22×D79C2514yes—
825C22×D79C2512yes—
826Q8×C79—42no—
827Q8×C79—44no—
828Q8×C79—42no—
829Q8×C79—42no—
830Q8×C79—41no—
831Q8×C79—41no—
832D4×C79—42no—
833D4×C79—41no—
834D4×C79—41no—
835C2×C4×C79—28no—
836C2×C4×C79—22no—
837C2×C4×C79—24no—
838C2×C4×C79—42no—
839C2×C4×C79—44no—
840C2×C4×C79—42no—
841C2×C4×C79—42no—
842C2×C4×C79—44no—
843C2×C4×C79C2512yes—
844C2×C4×C79C2511yescharacteristic
845C2×C4×C79C2514yes—
846C2×C4×C79C2512yes—
847C2×C4×C79C2511yescharacteristic
848C2×C4×C79C2514yes—
849C2×C4×C79C2514yes—
850C2×C4×C79C2512yes—
851C2×C4×C79C2512yes—
852C2×C4×C79C2514yes—
853C22⋊D79—28no—
854C22⋊D79—24no—
855C22⋊D79—44no—
856C22⋊D79—44no—
857C22⋊D79—44no—
858C22⋊D79—44no—
859C22⋊D79—44no—
860C2×Dic79—44no—
861C2×Dic79—44no—
862C2×Dic79—44no—
863C2×Dic79—42no—
864C2×Dic79C2512yes—
865C2×Dic79C2514yes—
866C2×Dic79C2514yes—
867C2×Dic79C2512yes—
868C2×Dic79C2514yes—
869C2×Dic79C2514yes—
870C2×Dic79C2512yes—
871C2×Dic79C2514yes—
872D316—44no—
873D316—42no—
874D316—44no—
875D316—41no—
876D316—42no—
877C4×D79—44no—
878C4×D79—44no—
879C4×D79—44no—
880C4×D79—42no—
881C4×D79—44no—
882C4×D79—44no—
883C4×D79—42no—
884C4×D79—44no—
885C4×D79—44no—
886C4×D79—44no—
887C4×D79—42no—
888Dic158—44no—
889Dic158—44no—
890Dic158—42no—
891Dic158—44no—
892Dic158—44no—
893Dic158—42no—
894Dic158—44no—
895Dic158—41no—
896C22×C79—22no—
897C22×C79—22no—
898C22×C79—22no—
899C22×C79—24no—
900C22×C79—24no—
901C22×C79—84no—
902C22×C79#58512yes—
903C22×C79C2611yescharacteristic
904C2×D79—24no—
905C2×D79—22no—
906C2×D79—22no—
907C2×D79—22no—
908C2×D79—24no—
909C2×D79—24no—
910C2×D79—162no—
911C4×C79—24no—
912C4×C79—24no—
913C4×C79—21no—
914C4×C79—21no—
915C4×C79—22no—
916C4×C79—22no—
917C4×C79—24no—
918C4×C79—22no—
919C4×C79—22no—
920C4×C79—24no—
921Dic79—24no—
922Dic79—22no—
923Dic79—24no—
924Dic79—24no—
925Dic79—24no—
926Dic79—24no—
927Dic79—22no—
928Dic79—22no—
929#63064—791nomaximal, Sylow
930C2×C79—22no—
931C2×C79—42no—
932C2×C79—42no—
933C2×C79C2×#58511yescharacteristic
934C2×C792−1+612yes—
935D79—42no—
936D79—44no—
937#3568—792no—
938#3566—794no—
939#3565—794no—
940#3564—794no—
941#3564—794no—
942#3564—794no—
943#3563—792no—
944#3563—792no—
945#3557—794no—
946#3555—794no—
947#3553—792no—
948#3545—791no—
949#3544—792no—
950#3535—794no—
951#3533—792no—
952#3531—792no—
953C2×#563D7911yescharacteristic, complemented
954#3521—794no—
955#3515—792no—
956#3510—791no—
957#3509—792no—
958#3495—794no—
959#3491—792no—
960C79#6306411yescharacteristic, complemented, Sylow
961#564—792no—
962#564—792no—
963#563—794no—
964#563—792no—
965#563—792no—
966#563—794no—
967#563—794no—
968#563—794no—
969#563—794no—
970#563—792no—
971#563—792no—
972#563—791no—
973#563—792no—
974#563—794no—
975#563—794no—
976#563C2×D7912yes—
977#563C2×D7912yes—
978#563C2×D7911yescharacteristic, complemented
979#563C2×D7911yescharacteristic, complemented
980#563C2×D7914yescomplemented
981#563C2×D7914yescomplemented
982#563C2×D7912yescomplemented
983#562—792no—
984#562—794no—
985#562—794no—
986#562—794no—
987H(3,𝔽4)—791no—
988#560—792no—
989#559—794no—
990#559—792no—
991Q82—792no—
992#557—794no—
993#557—794no—
994#557—792no—
995#557—794no—
996#556—794no—
997#556—794no—
998#556—794no—
999#556—794no—
1000#556—794no—
1001#556—794no—
1002#556—794no—
1003#556—794no—
1004#556—794no—
1005#555—792no—
1006#555—792no—
1007#554—794no—
1008#554—792no—
1009#554—794no—
1010#554—794no—
1011#554—794no—
1012#554—794no—
1013#554—792no—
1014#554—794no—
1015#553—794no—
1016#553—794no—
1017#553—792no—
1018#553—794no—
1019#553—792no—
1020#552—794no—
1021#552—794no—
1022#552—794no—
1023#552—794no—
1024#552—794no—
1025#552—794no—
1026#552—792no—
1027#552—794no—
1028#552—794no—
1029#552—794no—
1030#552—794no—
1031#552—794no—
1032#552—794no—
1033#552—794no—
1034#552—794no—
1035#552—794no—
1036#552—792no—
1037#552—794no—
1038#552—794no—
1039#552—794no—
1040#552—794no—
1041#552—794no—
1042#551—794no—
1043#551—794no—
1044#551—792no—
1045#551—794no—
1046#551—794no—
1047#551—792no—
1048#551—794no—
1049#551—794no—
1050#551—794no—
1051#551—794no—
1052#551—794no—
1053#551—794no—
1054#551—794no—
1055#551—794no—
1056#547—792no—
1057#547—794no—
1058#547—794no—
1059#546—794no—
1060#546—794no—
1061#544—794no—
1062#544—794no—
1063#544—794no—
1064#544—794no—
1065#544—794no—
1066#543—794no—
1067#543—792no—
1068#542—794no—
1069#542—794no—
1070#542—794no—
1071#542—794no—
1072#542—794no—
1073#542—794no—
1074#542—792no—
1075#542—792no—
1076#542—794no—
1077#542—794no—
1078#542—794no—
1079#542—794no—
1080#542—794no—
1081#541—794no—
1082#541—794no—
1083#541—794no—
1084#541—794no—
1085#541—794no—
1086#541—794no—
1087#541—794no—
1088#541—794no—
1089#541—794no—
1090#541—794no—
1091#541—794no—
1092#541—794no—
1093#541—794no—
1094#540—794no—
1095#539—794no—
1096#539—794no—
1097#539—794no—
1098#539—794no—
1099#539—794no—
1100#539—794no—
1101#539—794no—
1102#539—794no—
1103#539—794no—
1104#539—794no—
1105#539—794no—
1106#539—794no—
1107#538—794no—
1108#538—794no—
1109#538—794no—
1110#538—794no—
1111#538—794no—
1112#536—792no—
1113#536—792no—
1114#536—794no—
1115#536—791no—
1116#535—791no—
1117#534—792no—
1118#533—794no—
1119#533—794no—
1120#533—792no—
1121#533—794no—
1122#533—794no—
1123#533—792no—
1124#533—791no—
1125C2×C4⋊Q8C2×D7912yescomplemented
1126#529—794no—
1127#529—794no—
1128#529—794no—
1129#529—792no—
1130#529—792no—
1131#529—792no—
1132#529—792no—
1133#529—794no—
1134#529—794no—
1135#529—794no—
1136#529—794no—
1137#529—792no—
1138#529—794no—
1139C2×#126—794no—
1140C2×#126C2×D7914yescomplemented
1141C2×#125—792no—
1142C2×#125C2×D7912yescomplemented
1143C2×#124C2×D7911yescharacteristic
1144#525—794no—
1145C2×#123—792no—
1146C2×#123C2×D7912yes—
1147C2×C22⋊Q8C2×D7914yescomplemented
1148#520—794no—
1149#519—792no—
1150#519—791no—
1151#518—791no—
1152#518—792no—
1153C4×#41—792no—
1154C4×#41—791no—
1155C2×#117—792no—
1156C2×#41—791no—
1157C2×#41—792no—
1158C2×#41—794no—
1159C22×Q8C22×D7912yes—
1160C22×Q8C22×D7911yescharacteristic
1161C22×D4—792no—
1162C22×D4C22×D7911yescharacteristic
1163C23×C4C22×D7912yes—
1164C4⋊Q8—794no—
1165C4⋊Q8—794no—
1166C4⋊Q8—792no—
1167C4⋊Q8—794no—
1168C4⋊Q8—792no—
1169C4⋊Q8—792no—
1170C4⋊Q8—794no—
1171C4⋊Q8—792no—
1172C4⋊Q8—794no—
1173C4⋊Q8—792no—
1174C4⋊Q8—794no—
1175C4⋊Q8—794no—
1176C4⋊Q8—794no—
1177C4⋊Q8—794no—
1178C4⋊Q8—794no—
1179C4⋊Q8—794no—
1180C4⋊Q8—792no—
1181C4⋊Q8C22×D7912yes—
1182C4⋊Q8C22×D7912yes—
1183C4⋊Q8C22×D7912yes—
1184C4⋊Q8C22×D7912yes—
1185C4⋊Q8C22×D7914yes—
1186C4⋊Q8C22×D7914yes—
1187#127—792no—
1188#126—794no—
1189#126—794no—
1190#126—794no—
1191#126—794no—
1192#126—794no—
1193#126—794no—
1194#126—794no—
1195#126—794no—
1196#126—794no—
1197#126—794no—
1198#126—794no—
1199#126—794no—
1200#126—794no—
1201#126—794no—
1202#126—794no—
1203#126—794no—
1204#126—794no—
1205#126—794no—
1206#126—794no—
1207#126—794no—
1208#126—794no—
1209#126—794no—
1210#126—794no—
1211#126—794no—
1212#126—794no—
1213#126—794no—
1214#126—794no—
1215#126—794no—
1216#126—794no—
1217#126—794no—
1218#126—794no—
1219#126—794no—
1220#126—794no—
1221#126—794no—
1222#126—794no—
1223#126—794no—
1224#126—794no—
1225#126C22×D7914yes—
1226#126C22×D7914yes—
1227#126C22×D7914yes—
1228#126C22×D7914yes—
1229#126C22×D7914yes—
1230#126C22×D7914yes—
1231#126C22×D7914yes—
1232#126C22×D7914yes—
1233#125—794no—
1234#125—794no—
1235#125—792no—
1236#125—792no—
1237#125—794no—
1238#125—794no—
1239#125—794no—
1240#125—794no—
1241#125—794no—
1242#125—794no—
1243#125—794no—
1244#125—794no—
1245#125—794no—
1246#125—794no—
1247#125—794no—
1248#125—794no—
1249#125—794no—
1250#125—794no—
1251#125—794no—
1252#125—794no—
1253#125—794no—
1254#125—794no—
1255#125—794no—
1256#125—794no—
1257#125—794no—
1258#125—794no—
1259#125—794no—
1260#125—794no—
1261#125—794no—
1262#125—794no—
1263#125—794no—
1264#125—794no—
1265#125—794no—
1266#125—794no—
1267#125—794no—
1268#125—792no—
1269#125—792no—
1270#125—794no—
1271#125—794no—
1272#125C22×D7912yes—
1273#125C22×D7912yes—
1274#125C22×D7914yes—
1275#125C22×D7912yes—
1276#125C22×D7912yes—
1277#125C22×D7914yes—
1278#124—794no—
1279#124—794no—
1280#124—792no—
1281#124—794no—
1282#124—792no—
1283#124—792no—
1284#124—792no—
1285#124—794no—
1286#124—794no—
1287#124—794no—
1288#124—794no—
1289#124—794no—
1290#124—794no—
1291#124—794no—
1292#124—794no—
1293#124—794no—
1294#124—794no—
1295#124—792no—
1296#124—794no—
1297#124C22×D7911yescharacteristic
1298#124C22×D7911yescharacteristic
1299#124C22×D7914yes—
1300#124C22×D7911yescharacteristic
1301#124C22×D7911yescharacteristic
1302#123—792no—
1303#123—792no—
1304#123—794no—
1305#123—794no—
1306#123—794no—
1307#123—794no—
1308#123—794no—
1309#123—794no—
1310#123—794no—
1311#123—794no—
1312#123—794no—
1313#123—794no—
1314#123—794no—
1315#123—794no—
1316#123—794no—
1317#123—794no—
1318#123—794no—
1319#123—794no—
1320#123—794no—
1321#123—794no—
1322#123—794no—
1323#123—794no—
1324#123—794no—
1325#123—794no—
1326#123—794no—
1327#123—794no—
1328#123—794no—
1329#123—794no—
1330#123—794no—
1331#123—794no—
1332#123—794no—
1333#123—794no—
1334#123—794no—
1335#123—794no—
1336#123—794no—
1337#123—794no—
1338#123—794no—
1339#123C22×D7912yes—
1340#123C22×D7912yes—
1341#123C22×D7914yes—
1342#123C22×D7912yes—
1343#123C22×D7912yes—
1344#123C22×D7914yes—
1345C22⋊Q8—792no—
1346C22⋊Q8—792no—
1347C22⋊Q8—794no—
1348C22⋊Q8—794no—
1349C22⋊Q8—794no—
1350C22⋊Q8—794no—
1351C22⋊Q8—794no—
1352C22⋊Q8—794no—
1353C22⋊Q8—794no—
1354C22⋊Q8—794no—
1355C22⋊Q8—794no—
1356C22⋊Q8—794no—
1357C22⋊Q8—794no—
1358C22⋊Q8—792no—
1359C22⋊Q8—794no—
1360C22⋊Q8—794no—
1361C22⋊Q8—794no—
1362C22⋊Q8—794no—
1363C22⋊Q8—794no—
1364C22⋊Q8—792no—
1365C22⋊Q8—792no—
1366C22⋊Q8—794no—
1367C22⋊Q8—794no—
1368C22⋊Q8—794no—
1369C22⋊Q8—794no—
1370C22⋊Q8—794no—
1371C22⋊Q8—794no—
1372C22⋊Q8—794no—
1373C22⋊Q8—794no—
1374C22⋊Q8—794no—
1375C22⋊Q8—794no—
1376C22⋊Q8—794no—
1377C22⋊Q8—794no—
1378C22⋊Q8—794no—
1379C22⋊Q8—794no—
1380C22⋊Q8—794no—
1381C22⋊Q8—794no—
1382C22⋊Q8—794no—
1383C22⋊Q8—794no—
1384C22⋊Q8—794no—
1385C22⋊Q8—794no—
1386C22⋊Q8—794no—
1387C22⋊Q8—794no—
1388C22⋊Q8—794no—
1389C22⋊Q8—794no—
1390C22⋊Q8—794no—
1391C22⋊Q8—794no—
1392C22⋊Q8—794no—
1393C22⋊Q8—794no—
1394C22⋊Q8—794no—
1395C22⋊Q8—794no—
1396C22⋊Q8C22×D7914yes—
1397C22⋊Q8C22×D7914yes—
1398C22⋊Q8C22×D7914yes—
1399C22⋊Q8C22×D7914yes—
1400C22⋊Q8C22×D7914yes—
1401C22⋊Q8C22×D7914yes—
1402C22⋊Q8C22×D7914yes—
1403C22⋊Q8C22×D7914yes—
1404#121—794no—
1405#121—794no—
1406#121—792no—
1407#121—792no—
1408#121—794no—
1409#121—794no—
1410#121—794no—
1411#121—792no—
1412#121—792no—
1413#121—792no—
1414#121—794no—
1415#121—794no—
1416#121—794no—
1417#121—794no—
1418#121—794no—
1419#121—794no—
1420#121—794no—
1421#121—794no—
1422#120—794no—
1423#120—794no—
1424#120—792no—
1425#120—792no—
1426#120—794no—
1427#120—794no—
1428C4×Q8—792no—
1429C4×Q8—794no—
1430C4×Q8—794no—
1431C4×Q8—792no—
1432C4×Q8—794no—
1433C4×Q8—794no—
1434C4×Q8—794no—
1435C4×Q8—794no—
1436C4×Q8—794no—
1437C4×Q8—794no—
1438C4×Q8—794no—
1439C4×Q8—792no—
1440C4×Q8—792no—
1441C4×Q8—794no—
1442C4×Q8—794no—
1443C4×Q8—794no—
1444C4×Q8—794no—
1445C4×Q8—794no—
1446C4×Q8—794no—
1447C4×Q8—792no—
1448C4×Q8—794no—
1449C4×Q8—794no—
1450C4×Q8—792no—
1451C4×Q8—794no—
1452C4×Q8—794no—
1453C4×Q8—794no—
1454C4×D4—792no—
1455C4×D4—794no—
1456C4×D4—792no—
1457C4×D4—794no—
1458C4×D4—792no—
1459C4×D4—794no—
1460C4×D4—792no—
1461C4×D4—794no—
1462C4×D4—794no—
1463C4×D4—794no—
1464C4×D4—794no—
1465C4×D4—794no—
1466C4×D4—794no—
1467C4×D4—794no—
1468C4×D4—794no—
1469C4×D4—794no—
1470C4×D4—792no—
1471C4×D4—794no—
1472C4×D4—792no—
1473C4×D4—794no—
1474C4×D4—794no—
1475C4×D4—794no—
1476C4×D4—794no—
1477C4×D4—794no—
1478C4×D4—794no—
1479C4×D4—794no—
1480C4×D4—794no—
1481C4×D4—794no—
1482C4×D4—794no—
1483C4×D4—794no—
1484C4×D4—794no—
1485C4×D4—792no—
1486C4×D4—792no—
1487C4×D4—794no—
1488#117—794no—
1489#117—794no—
1490#117—794no—
1491#117—794no—
1492#117—791no—
1493#117—792no—
1494#117—791no—
1495#117—794no—
1496#117—791no—
1497#117—792no—
1498#117—792no—
1499#117—794no—
1500#117—794no—
1501#117—794no—
1502#117—794no—
1503#117—792no—
1504#117—792no—
1505#117—794no—
1506#117—794no—
1507#117—794no—
1508#117—794no—
1509#117—794no—
1510#117—794no—
1511#117—794no—
1512#117—794no—
1513#117—794no—
1514#117—794no—
1515#117—794no—
1516#117—794no—
1517#117—794no—
1518#117—792no—
1519#117—794no—
1520#117—794no—
1521#117—794no—
1522C2×C4⋊C4—794no—
1523C2×C4⋊C4—794no—
1524C2×C4⋊C4—794no—
1525C2×C4⋊C4—794no—
1526C2×C4⋊C4—792no—
1527C2×C4⋊C4—792no—
1528C2×C4⋊C4—794no—
1529C2×C4⋊C4—794no—
1530C2×C4⋊C4—794no—
1531C2×C4⋊C4C22×D7914yes—
1532C2×C4⋊C4C22×D7912yes—
1533C2×C4⋊C4C22×D7914yes—
1534C2×C4⋊C4C22×D7914yes—
1535C2×C4⋊C4C22×D7912yes—
1536C2×C22⋊C4—792no—
1537C2×C22⋊C4—792no—
1538C2×C22⋊C4—792no—
1539C2×C22⋊C4—794no—
1540C2×C22⋊C4—794no—
1541C2×C22⋊C4—794no—
1542C2×C22⋊C4—794no—
1543C2×C22⋊C4C22×D7912yes—
1544C2×C22⋊C4C22×D7914yes—
1545C2×C22⋊C4C22×D7914yes—
1546C2×C42—794no—
1547C2×C42—792no—
1548C2×C42—794no—
1549C2×C42C22×D7911yescharacteristic
1550C2×C42C22×D7912yes—
1551C24—792no—
1552C24C23×D7912yes—
1553#41—3168no—
1554#41—3162no—
1555#41—3164no—
1556C2×Q8—44no—
1557C2×Q8—42no—
1558C2×Q8—794no—
1559C2×Q8—794no—
1560C2×Q8—794no—
1561C2×Q8—792no—
1562C2×Q8—794no—
1563C2×Q8—794no—
1564C2×Q8—791no—
1565C2×Q8—792no—
1566C2×Q8C23×D7912yes—
1567C2×Q8C23×D7911yescharacteristic
1568C2×Q8C23×D7914yes—
1569C2×Q8C23×D7912yes—
1570C2×Q8C23×D7911yescharacteristic
1571C2×Q8C23×D7912yes—
1572C2×D4—42no—
1573C2×D4—3164no—
1574C2×D4—794no—
1575C2×D4—794no—
1576C2×D4—794no—
1577C2×D4—794no—
1578C2×D4—794no—
1579C2×D4—792no—
1580C2×D4—794no—
1581C2×D4—792no—
1582C2×D4—794no—
1583C2×D4—792no—
1584C2×D4—794no—
1585C2×D4—791no—
1586C2×D4C23×D7911yescharacteristic
1587C2×D4C23×D7912yes—
1588C2×D4C23×D7911yescharacteristic
1589C22×C4—44no—
1590C22×C4—794no—
1591C22×C4—794no—
1592C22×C4—794no—
1593C22×C4—792no—
1594C22×C4—794no—
1595C22×C4—794no—
1596C22×C4—794no—
1597C22×C4—792no—
1598C22×C4—792no—
1599C22×C4—792no—
1600C22×C4—794no—
1601C22×C4—794no—
1602C22×C4—794no—
1603C22×C4—794no—
1604C22×C4—794no—
1605C22×C4C23×D7912yes—
1606C22×C4C23×D7911yescharacteristic
1607C22×C4C23×D7914yes—
1608C22×C4C23×D7912yes—
1609C22×C4C23×D7912yes—
1610C22×C4C23×D7914yes—
1611C22×C4C23×D7914yes—
1612C22×C4C23×D7912yes—
1613C4⋊C4—792no—
1614C4⋊C4—794no—
1615C4⋊C4—794no—
1616C4⋊C4—794no—
1617C4⋊C4—794no—
1618C4⋊C4—794no—
1619C4⋊C4—794no—
1620C4⋊C4—794no—
1621C4⋊C4—794no—
1622C4⋊C4—794no—
1623C4⋊C4—794no—
1624C4⋊C4—794no—
1625C4⋊C4—794no—
1626C4⋊C4—794no—
1627C4⋊C4—794no—
1628C4⋊C4—794no—
1629C4⋊C4—794no—
1630C4⋊C4—794no—
1631C4⋊C4—794no—
1632C4⋊C4—794no—
1633C4⋊C4—794no—
1634C4⋊C4—792no—
1635C4⋊C4—794no—
1636C4⋊C4—794no—
1637C4⋊C4—794no—
1638C4⋊C4—794no—
1639C4⋊C4—794no—
1640C4⋊C4—794no—
1641C4⋊C4—794no—
1642C4⋊C4—794no—
1643C4⋊C4—794no—
1644C4⋊C4—794no—
1645C4⋊C4—794no—
1646C4⋊C4—794no—
1647C4⋊C4—794no—
1648C4⋊C4—792no—
1649C4⋊C4—792no—
1650C4⋊C4—794no—
1651C4⋊C4—794no—
1652C4⋊C4—794no—
1653C4⋊C4—794no—
1654C4⋊C4—792no—
1655C4⋊C4—792no—
1656C4⋊C4—794no—
1657C4⋊C4—792no—
1658C4⋊C4—794no—
1659C4⋊C4—794no—
1660C4⋊C4—794no—
1661C4⋊C4—794no—
1662C4⋊C4C23×D7914yes—
1663C4⋊C4C23×D7914yes—
1664C4⋊C4C23×D7912yes—
1665C4⋊C4C23×D7914yes—
1666C4⋊C4C23×D7914yes—
1667C4⋊C4C23×D7912yes—
1668C4⋊C4C23×D7914yes—
1669C4⋊C4C23×D7912yes—
1670C4⋊C4C23×D7912yes—
1671C4⋊C4C23×D7914yes—
1672C4⋊C4C23×D7914yes—
1673C4⋊C4C23×D7914yes—
1674C4⋊C4C23×D7914yes—
1675C4⋊C4C23×D7914yes—
1676C4⋊C4C23×D7914yes—
1677C4⋊C4C23×D7914yes—
1678C4⋊C4C23×D7914yes—
1679C4⋊C4C23×D7914yes—
1680C22⋊C4—791no—
1681C22⋊C4—792no—
1682C22⋊C4—791no—
1683C22⋊C4—794no—
1684C22⋊C4—794no—
1685C22⋊C4—792no—
1686C22⋊C4—792no—
1687C22⋊C4—794no—
1688C22⋊C4—794no—
1689C22⋊C4—794no—
1690C22⋊C4—792no—
1691C22⋊C4—794no—
1692C22⋊C4—794no—
1693C22⋊C4—794no—
1694C22⋊C4—794no—
1695C22⋊C4—794no—
1696C22⋊C4—794no—
1697C22⋊C4—794no—
1698C22⋊C4—794no—
1699C22⋊C4—794no—
1700C22⋊C4—794no—
1701C22⋊C4—794no—
1702C22⋊C4—794no—
1703C22⋊C4—792no—
1704C22⋊C4—794no—
1705C22⋊C4—794no—
1706C22⋊C4—794no—
1707C22⋊C4—794no—
1708C22⋊C4—794no—
1709C22⋊C4—794no—
1710C22⋊C4—794no—
1711C22⋊C4—794no—
1712C22⋊C4—794no—
1713C22⋊C4—794no—
1714C22⋊C4—792no—
1715C22⋊C4—794no—
1716C22⋊C4—794no—
1717C22⋊C4C23×D7914yes—
1718C22⋊C4C23×D7914yes—
1719C22⋊C4C23×D7914yes—
1720C22⋊C4C23×D7914yes—
1721C22⋊C4C23×D7914yes—
1722C22⋊C4C23×D7914yes—
1723C22⋊C4C23×D7914yes—
1724C22⋊C4C23×D7914yes—
1725C22⋊C4C23×D7914yes—
1726C22⋊C4C23×D7912yes—
1727C22⋊C4C23×D7912yes—
1728C42—794no—
1729C42—792no—
1730C42—794no—
1731C42—792no—
1732C42—794no—
1733C42—794no—
1734C42—794no—
1735C42—792no—
1736C42—794no—
1737C42—794no—
1738C42—794no—
1739C42—794no—
1740C42—794no—
1741C42—794no—
1742C42—794no—
1743C42—792no—
1744C42—792no—
1745C42—794no—
1746C42—792no—
1747C42—792no—
1748C42C23×D7911yescharacteristic
1749C42C23×D7912yes—
1750C42C23×D7911yescharacteristic
1751C42C23×D7912yes—
1752C42C23×D7914yes—
1753C42C23×D7912yes—
1754C23—24no—
1755C23—44no—
1756C23—3162no—
1757C23—3164no—
1758C23—794no—
1759C23—792no—
1760C23C24×D7912yes—
1761C23C24×D7912yes—
1762C23C24×D7911yescharacteristic
1763Q8—42no—
1764Q8—44no—
1765Q8—42no—
1766Q8—41no—
1767Q8—41no—
1768Q8—42no—
1769Q8—3164no—
1770Q8—3161no—
1771Q8—3162no—
1772Q8—3164no—
1773Q8—3162no—
1774Q8—3164no—
1775Q8—3164no—
1776Q8—3164no—
1777D4—41no—
1778D4—41no—
1779D4—42no—
1780D4—3164no—
1781D4—3161no—
1782D4—3162no—
1783D4—3162no—
1784D4—3164no—
1785D4—3164no—
1786D4—3164no—
1787D4—3164no—
1788D4—3164no—
1789D4—3164no—
1790D4—1588no—
1791D4—1584no—
1792C2×C4—28no—
1793C2×C4—22no—
1794C2×C4—24no—
1795C2×C4—42no—
1796C2×C4—44no—
1797C2×C4—42no—
1798C2×C4—42no—
1799C2×C4—44no—
1800C2×C4—3164no—
1801C2×C4—3164no—
1802C2×C4—3162no—
1803C2×C4—3164no—
1804C2×C4—3162no—
1805C2×C4—3164no—
1806C2×C4—3164no—
1807C2×C4—3162no—
1808C2×C4—3164no—
1809C2×C4—3164no—
1810C2×C4—3164no—
1811C2×C4—3162no—
1812C2×C4—3164no—
1813C2×C4—3164no—
1814C2×C4—3164no—
1815C2×C4—792no—
1816C2×C4—794no—
1817C2×C4—794no—
1818C2×C4—794no—
1819C2×C4—792no—
1820C2×C4—794no—
1821C2×C4—792no—
1822C2×C4—794no—
1823C2×C4C24×D7912yes—
1824C2×C4C24×D7911yescharacteristic
1825C2×C4C24×D7914yes—
1826C2×C4C24×D7912yes—
1827C2×C4C24×D7914yes—
1828C2×C4C24×D7912yes—
1829C2×C4C24×D7911yescharacteristic
1830C2×C4C24×D7912yes—
1831C2×C4C24×D7914yes—
1832C2×C4C24×D7914yes—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—24no—
1837C22—24no—
1838C22—84no—
1839C22—1582no—
1840C22—1584no—
1841C22—1582no—
1842C22—1584no—
1843C22—1584no—
1844C22—1582no—
1845C22—12642no—
1846C22#1909939812yes—
1847C22C25×D7911yescharacteristic
1848C4—24no—
1849C4—24no—
1850C4—21no—
1851C4—22no—
1852C4—21no—
1853C4—22no—
1854C4—22no—
1855C4—24no—
1856C4—24no—
1857C4—22no—
1858C4—1584no—
1859C4—1582no—
1860C4—1582no—
1861C4—1584no—
1862C4—1584no—
1863C4—1582no—
1864C4—1584no—
1865C4—1584no—
1866C2—22no—
1867C2—42no—
1868C2—42no—
1869C2—3164no—
1870C2—3162no—
1871C2C2×#1909939811yescharacteristic
1872C2#2377821212yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC2×#563×C79C2
hypercenterC2×#563D79
hypocenterC79#63064
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×#563

Complements

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

NH ≅ G/Ntype
1. #23778097C2semidirect
2. #23778081C2semidirect
3. #23778042C2semidirect
4. #23778024C2semidirect
5. #23778022C2semidirect
6. #23778015C2semidirect
7. #23778006C2semidirect
8. #23778000C2semidirect
9. #23777900C2semidirect
10. #23777879C2semidirect
11. #23777851C2semidirect
12. #23777757C2semidirect
13. #23777744C2semidirect
14. #23777609C2semidirect
15. #23777571C2semidirect
16. #23777546C2semidirect
17. #23777460C2semidirect
18. #23777372C2semidirect
19. #23777294C2semidirect
20. #23777284C2semidirect
21. #23777146C2semidirect
22. #23777096C2semidirect
23. C2×#563×C79C2semidirect
24. C79⋊#564C22semidirect
25. C79⋊#564C22semidirect
26. #19099317C22semidirect
27. #19099317C22semidirect
28. #19099316C22semidirect
29. #19099315C22semidirect
30. #19099315C22semidirect
31. #19099315C22semidirect
32. #19099315C22semidirect
33. #19099314C22semidirect
34. #19099314C22semidirect
36. #19099312C22semidirect
37. #19099312C22semidirect
38. #19099312C22semidirect
39. #19099310C22semidirect
40. #19099309C22semidirect
41. #19099309C22semidirect
44. #19099303C22semidirect
45. #19099297C22semidirect
46. #19099295C22semidirect
47. #19099293C22semidirect
48. #19099290C22semidirect
49. #19099290C22semidirect
50. #19099288C22semidirect
51. #19099288C22semidirect
52. #19099287C22semidirect
53. #19099287C22semidirect
54. #19099284C22semidirect
55. #19099284C22semidirect
56. #19099282C22semidirect
57. #19099280C22semidirect
58. #19099280C22semidirect
59. #19099280C22semidirect
60. #19099280C22semidirect
61. #19099279C22semidirect
63. #19099274C22semidirect
64. #19099271C22semidirect
65. #19099271C22semidirect
66. #19099269C22semidirect
67. #19099268C22semidirect
68. #19099268C22semidirect
69. #19099267C22semidirect
70. #19099267C22semidirect
71. #19099266C22semidirect
72. #19099264C22semidirect
73. #19099264C22semidirect
75. #19099258C22semidirect
76. #19099255C22semidirect
77. #19099255C22semidirect
78. #19099251C22semidirect
79. #19099251C22semidirect
81. #19099250C22semidirect
82. #19099249C22semidirect
83. #19099249C22semidirect
84. #19099249C22semidirect
85. #19099249C22semidirect
86. #19099248C22semidirect
87. #19099248C22semidirect
88. #19099248C22semidirect
89. #19099248C22semidirect
90. #19099248C22semidirect
91. #19099248C22semidirect
92. #19099248C22semidirect
93. #19099248C22semidirect
94. #19099247C22semidirect
95. #19099247C22semidirect
96. #19099245C22semidirect
97. #19099245C22semidirect
99. #19099241C22semidirect
100. #19099240C22semidirect
101. #19099240C22semidirect
105. #19099239C22semidirect
106. #19099239C22semidirect
107. #19099239C22semidirect
108. #19099238C22semidirect
109. #19099238C22semidirect
111. #19099236C22semidirect
114. #19099214C22semidirect
116. #19099203C22semidirect
117. #19099194C22semidirect
118. #19099193C22semidirect
119. #19099192C22semidirect
120. #19099190C22semidirect
121. #19099190C22semidirect
122. #19099189C22semidirect
123. #19099188C22semidirect
124. #19099187C22semidirect
125. #19099187C22semidirect
126. #19099186C22semidirect
127. #19099186C22semidirect
128. #19099183C22semidirect
129. #19099183C22semidirect
131. #19099182C22semidirect
133. #19099179C22semidirect
134. #19099179C22semidirect
135. #19099179C22semidirect
137. #19099176C22semidirect
138. #19099174C22semidirect
139. #19099174C22semidirect
140. #19099173C22semidirect
141. #19099173C22semidirect
142. #19099172C22semidirect
143. #19099172C22semidirect
144. #19099172C22semidirect
145. #19099170C22semidirect
146. #19099170C22semidirect
147. #19099170C22semidirect
148. #19099170C22semidirect
149. #19099170C22semidirect
151. #19099162C22semidirect
152. #19099161C22semidirect
154. #19099160C22semidirect
155. #19099159C22semidirect
156. #19099159C22semidirect
158. #19099157C22semidirect
160. #19099154C22semidirect
161. #19099154C22semidirect
162. #19099154C22semidirect
163. #19099153C22semidirect
164. #19099152C22semidirect
170. #19099137C22semidirect
171. #19099137C22semidirect
174. #19099120C22semidirect
175. #19099120C22semidirect
176. #19099119C22semidirect
177. #19099118C22semidirect
178. #19099118C22semidirect
179. #19099115C22semidirect
180. #19099115C22semidirect
181. #19099099C22semidirect
182. #19099099C22semidirect
183. #19099098C22semidirect
184. #19099098C22semidirect
186. #19099097C22semidirect
187. #19099096C22semidirect
188. #19099096C22semidirect
189. #19099096C22semidirect
191. #19099092C22semidirect
193. #19099090C22semidirect
194. #126×D79C22semidirect
195. #125×D79C22semidirect
197. C2×#14579144C22semidirect
198. #19099044C22semidirect
199. #19099041C22semidirect
200. #19099041C22semidirect
202. #19099036C22semidirect
204. C4×#11929624C22semidirect
205. C2×#14579120C22semidirect
208. #563×C79C22semidirect
209. #563×C79C22semidirect
210. #563×C79C22semidirect
211. #563×C79C22semidirect
212. #563×C79C22semidirect
213. C2×C4⋊Q8×C79C22semidirect
214. C2×#126×C79C22semidirect
215. C2×#125×C79C22semidirect
218. C2×C22⋊Q8×C79C22semidirect
953. C2×#563D79semidirect
960. C79#63064semidirect
978. #563C2×D79semidirect
979. #563C2×D79semidirect
980. #563C2×D79semidirect
981. #563C2×D79semidirect
982. #563C2×D79semidirect
1125. C2×C4⋊Q8C2×D79semidirect
1140. C2×#126C2×D79semidirect
1142. C2×#125C2×D79semidirect
1147. C2×C22⋊Q8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780972
#237780812
#237780422
#237780242
#237780222
#237780152
#237780062
#237780002
#237779002
#237778792
#237778512
#237777572
#237777442
#237776092
#237775712
#237775462
#237774602
#237773722
#237772942
#237772842
#237771462
#237770962
C2×#563×C792
#6306479