Finite Group Databasebeta

← #35201904

Subgroups — #35201904

Order 20224.

6916 conjugacy classes of subgroups.

The subgroup lattice has 2156 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777968C212yesmaximal, complemented
2#23777952C214yesmaximal, complemented
3#23777943C214yesmaximal, complemented
4#23777937C212yesmaximal, complemented
5#23777934C212yesmaximal, complemented
6#23777834C214yesmaximal, complemented
7#23777825C212yesmaximal, complemented
8#23777810C211yesmaximal, characteristic, complemented
9#23777758C211yesmaximal, characteristic, complemented
10#23777757C211yesmaximal, characteristic, complemented
11#23777744C212yesmaximal, complemented
12#23777739C212yesmaximal, complemented
13#23777690C214yesmaximal, complemented
14#23777644C212yesmaximal, complemented
15#23777611C214yesmaximal, complemented
16#23777609C214yesmaximal, complemented
17#23777576C212yesmaximal, complemented
18#23777571C212yesmaximal, complemented
19#23777541C211yesmaximal, characteristic, complemented
20#563×D79C211yesmaximal, characteristic, complemented
21#23777460C214yesmaximal, complemented
22#23777372C212yesmaximal, complemented
23#23777190C211yesmaximal, characteristic, complemented
24#23777183C212yesmaximal, complemented
25#23777076C214yesmaximal, complemented
26#23777038C212yesmaximal, complemented
27C2×#563×C79C211yesmaximal, characteristic, complemented
28C2×#14579209C2212yescomplemented
29C2×#14579209C2211yescharacteristic, complemented
30C2×#14579206C2211yescharacteristic
31C22×#11929624C2212yescomplemented
32#19099317C2212yescomplemented
33#19099317C2212yescomplemented
34#19099316C2212yescomplemented
35#19099315C2214yescomplemented
36#19099315C2214yescomplemented
37#19099314C2214yescomplemented
38#19099314C2214yescomplemented
39#19099313C2211yescharacteristic, complemented
40#19099312C2212yescomplemented
41#19099312C2212yescomplemented
42#19099312C2214yescomplemented
43#19099311C2212yescomplemented
44#19099311C2212yescomplemented
45#19099310C2214yescomplemented
46#19099309C2214yescomplemented
47#19099309C2214yescomplemented
48#19099307C2212yescomplemented
49#19099305C2211yescharacteristic, complemented
50#19099304C2214yescomplemented
51#19099304C2214yescomplemented
52#19099303C2212yescomplemented
53#19099297C2212yescomplemented
54#19099293C2212yescomplemented
55#19099290C2212yescomplemented
56#19099280C2214yescomplemented
57#19099280C2214yescomplemented
58#19099279C2212yescomplemented
59#19099275C2212yescomplemented
60#19099274C2214yescomplemented
61#19099269C2214yescomplemented
62#19099269C2212yescomplemented
63#19099268C2212yescomplemented
64#19099267C2214yescomplemented
65#19099267C2214yescomplemented
66#19099266C2212yescomplemented
67#19099266C2214yescomplemented
68#19099264C2214yescomplemented
69#19099264C2214yescomplemented
70#19099264C2214yescomplemented
71#19099264C2214yescomplemented
72#19099261C2212yescomplemented
73#19099261C2214yescomplemented
74#19099258C2214yescomplemented
75#19099251C2212yescomplemented
76#19099249C2214yescomplemented
77#19099249C2214yescomplemented
78#19099248C2214yescomplemented
79#19099248C2212yescomplemented
80#19099248C2214yescomplemented
81#19099245C2214yescomplemented
82#19099245C2214yescomplemented
83#19099243C2212yescomplemented
84#19099241C2212yescomplemented
85#19099240C2214yescomplemented
86#19099240C2214yescomplemented
87#19099239C2214yescomplemented
88#19099239C2214yescomplemented
89#19099238C2214yescomplemented
90#19099238C2214yescomplemented
91#19099238C2214yescomplemented
92#19099238C2214yescomplemented
93#19099228C2214yescomplemented
94#19099228C2214yescomplemented
95#19099226C2214yescomplemented
96#19099226C2214yescomplemented
97#19099223C2214yescomplemented
98#19099223C2214yescomplemented
99#19099221C2214yescomplemented
100#19099216C2214yescomplemented
101#19099216C2214yescomplemented
102#19099215C2214yescomplemented
103#19099215C2214yescomplemented
104#19099214C2214yescomplemented
105#19099214C2214yescomplemented
106#19099214C2214yescomplemented
107#19099214C2212yescomplemented
108#19099214C2214yescomplemented
109#19099214C2214yescomplemented
110#19099214C2214yescomplemented
111#19099214C2214yescomplemented
112#19099211C2214yes—
113#19099211C2214yescomplemented
114#19099206C2214yescomplemented
115#19099205C2214yes—
116#19099205C2214yescomplemented
117#19099204C2214yescomplemented
118#19099204C2214yescomplemented
119#19099203C2214yes—
120#19099203C2214yes—
121#19099203C2214yescomplemented
122#19099203C2214yescomplemented
123#19099203C2214yescomplemented
124#19099203C2214yescomplemented
125#19099193C2214yescomplemented
126#19099192C2214yescomplemented
127#19099190C2214yescomplemented
128#19099190C2214yescomplemented
129#19099188C2214yescomplemented
130#19099187C2214yescomplemented
131#19099187C2214yescomplemented
132#19099183C2214yescomplemented
133#19099183C2214yescomplemented
134#19099181C2214yescomplemented
135#19099179C2214yescomplemented
136#19099179C2214yescomplemented
137#19099179C2214yescomplemented
138#19099177C2214yescomplemented
139#19099172C2214yescomplemented
140#19099170C2214yescomplemented
141#19099169C2214yescomplemented
142#19099165C2214yescomplemented
143#19099162C2214yescomplemented
144#19099161C2214yescomplemented
145#19099161C2214yescomplemented
146#19099161C2214yescomplemented
147#19099160C2214yescomplemented
148#19099160C2214yescomplemented
149#19099159C2214yescomplemented
150#19099159C2214yescomplemented
151#19099156C2214yescomplemented
152#19099154C2214yescomplemented
153#19099154C2214yescomplemented
154#19099154C2214yescomplemented
155#19099153C2214yescomplemented
156#19099152C2214yescomplemented
157#19099152C2214yescomplemented
158#19099152C2214yescomplemented
159#19099152C2214yescomplemented
160#19099152C2214yescomplemented
161#19099151C2214yescomplemented
162#19099149C2214yescomplemented
163#19099147C2214yescomplemented
164#19099144C2214yescomplemented
165#19099143C2214yescomplemented
166#19099143C2214yescomplemented
167#19099138C2212yescomplemented
168#19099138C2212yescomplemented
169#19099138C2212yescomplemented
170#19099138C2212yescomplemented
171#19099137C2214yescomplemented
172#19099137C2212yescomplemented
173#19099137C2212yescomplemented
174#19099137C2211yescharacteristic, complemented
175#19099136C2214yescomplemented
176#19099136C2214yescomplemented
177#19099135C2212yes—
178#19099135C2212yescomplemented
179#19099133C2211yescharacteristic
180#19099133C2211yescharacteristic, complemented
181#19099131C2211yescharacteristic
182#19099131C2211yescharacteristic, complemented
183#19099130C2211yescharacteristic
184#19099125C2212yescomplemented
185#19099124C2212yes—
186#19099124C2212yescomplemented
187#19099122C2212yes—
188#19099119C2212yescomplemented
189#19099114C2212yescomplemented
190#19099114C2212yescomplemented
191#19099113C2211yescharacteristic, complemented
192#19099113C2212yescomplemented
193#19099112C2211yescharacteristic
194#19099112C2211yescharacteristic, complemented
195C4⋊Q8×D79C2212yescomplemented
196C4⋊Q8×D79C2212yescomplemented
197#19099098C2212yescomplemented
198#19099098C2212yescomplemented
199#19099097C2212yescomplemented
200#19099097C2214yescomplemented
201#19099096C2214yescomplemented
202#19099096C2214yescomplemented
203#19099096C2214yescomplemented
204#126×D79C2214yescomplemented
205#125×D79C2212yescomplemented
206#124×D79C2211yescharacteristic
207#124×D79C2211yescharacteristic, complemented
208#19099076C2214yescomplemented
209#19099076C2214yescomplemented
210#19099074C2214yescomplemented
211#19099071C2212yes—
212#19099071C2212yescomplemented
213C2×#14579144C2212yescomplemented
214#123×D79C2212yes—
215#123×D79C2212yescomplemented
216C22⋊Q8×D79C2214yescomplemented
217C22⋊Q8×D79C2214yescomplemented
218#19099044C2214yescomplemented
219#19099036C2212yescomplemented
220C4×#11929624C2211yescharacteristic, complemented
221C4×#11929624C2212yescomplemented
222#563×C79C2211yescharacteristic, complemented
223#563×C79C2211yescharacteristic, complemented
224#563×C79C2212yescomplemented
225#563×C79C2212yescomplemented
226#563×C79C2214yescomplemented
227#563×C79C2214yescomplemented
228#563×C79C2212yescomplemented
229C2×C4⋊Q8×C79C2212yescomplemented
230C2×#126×C79C2214yescomplemented
231C2×#125×C79C2212yescomplemented
232C2×#124×C79C2211yescharacteristic
233C2×#123×C79C2212yes—
234C2×C22⋊Q8×C79C2214yescomplemented
235#14579209—48no—
236#14579209—44no—
237#14579206—44no—
238C2×#11929625C2311yescharacteristic
239C2×#11929625C2312yes—
240C2×#11929625C2312yes—
241C2×#11929625C2312yes—
242C2×#11929625C2314yes—
243C2×#11929625C2311yescharacteristic
244C2×#11929624—48no—
245C2×#11929624C2311yescharacteristic
246C2×#11929624C2312yes—
247C2×#11929624C2314yes—
248C2×#11929624C2314yes—
249C2×#11929624C2314yes—
250C2×#11929624C2311yescharacteristic
251C2×#11929624C2312yes—
252C2×#11929624C2312yes—
253C2×#11929624C2314yes—
254C2×#11929624C2314yes—
255C2×#11929624C2311yescharacteristic
256C2×#11929623C2312yes—
257C2×#11929623C2311yescharacteristic
258C2×#11929623C2311yescharacteristic
259C22×Dic158C2312yes—
260C2×Q8×D79C2312yes—
261C2×Q8×D79C2314yes—
262C2×Q8×D79C2311yescharacteristic
263C2×Q8×D79C2312yes—
264C2×Q8×D79C2312yes—
265C2×Q8×D79C2311yescharacteristic
266C22×D316C2312yes—
267C22×C22⋊D79C2312yes—
268C22×C22⋊D79C2312yes—
269C22×C22⋊D79C2312yes—
270C2×D4×D79C2312yes—
271C2×D4×D79C2311yescharacteristic
272C2×D4×D79C2311yescharacteristic
273C22×C4×D79C2312yes—
274C22×C4×D79C2312yes—
275#14579161C2311yescharacteristic
276#14579161C2312yes—
277#14579160C2312yes—
278#14579160C2314yes—
279#14579160C2314yes—
280#14579160C2314yes—
281#14579160C2314yes—
282#14579160C2312yes—
283#14579160C2314yes—
284#14579160C2314yes—
285#14579160C2314yes—
286#14579159C2312yes—
287#14579159C2312yes—
288#14579159C2312yes—
289#14579159C2312yes—
290#14579159C2314yes—
291#14579159C2311yescharacteristic
292#14579159C2314yes—
293#14579159C2311yescharacteristic
294#14579158C2311yescharacteristic
295#14579158C2312yes—
296#14579157C2311yescharacteristic
297#14579157C2311yescharacteristic
298#14579156C2314yes—
299#14579156C2314yes—
300#14579156C2314yes—
301#14579156C2314yes—
302#14579156C2314yes—
303#14579156C2314yes—
304#14579156C2314yes—
305#14579156C2314yes—
306#14579156C2314yes—
307#14579156C2314yes—
308#14579156C2314yes—
309#14579156C2314yes—
310#14579155C2314yes—
311#14579155C2314yes—
312#14579155C2314yes—
313#14579154C2314yes—
314#14579154C2314yes—
315#14579154C2314yes—
316#14579154C2314yes—
317#14579154C2314yes—
318#14579154C2314yes—
319#14579153C2314yes—
320#14579153C2312yes—
321#14579152C2312yes—
322#14579152C2314yes—
323#14579152C2314yes—
324#14579152C2314yes—
325#14579152C2312yes—
326#14579151C2314yes—
327#14579151C2314yes—
328#14579151C2314yes—
329#14579151C2314yes—
330#14579151C2314yes—
331#14579151C2314yes—
332#14579151C2314yes—
333#14579151C2314yes—
334#14579151C2314yes—
335#14579151C2314yes—
336#14579150C2312yes—
337#14579150C2312yes—
338#14579150C2312yes—
339#14579150C2312yes—
340#14579150C2314yes—
341#14579150C2311yescharacteristic
342#14579150C2314yes—
343#14579150C2311yescharacteristic
344#14579149C2312yes—
345#14579149C2312yes—
346#14579149C2314yes—
347#14579149C2312yes—
348#14579149C2311yescharacteristic
349#14579149C2311yescharacteristic
350#14579148C2311yescharacteristic
351#14579148C2311yescharacteristic
352#14579147C2314yes—
353#14579147C2314yes—
354#14579147C2314yes—
355#14579147C2314yes—
356#14579147C2314yes—
357#14579147C2314yes—
358#14579147C2314yes—
359#14579147C2314yes—
360#14579147C2314yes—
361#14579147C2314yes—
362#14579146C2314yes—
363#14579146C2314yes—
364#14579146C2314yes—
365#14579146C2314yes—
366#14579146C2314yes—
367#14579146C2314yes—
368#14579146C2314yes—
369#14579146C2314yes—
370#14579146C2314yes—
371#14579146C2314yes—
372#14579146C2314yes—
373#14579146C2314yes—
374#14579146C2314yes—
375#14579146C2314yes—
376#14579146C2314yes—
377#14579146C2314yes—
378#14579146C2314yes—
379#14579146C2314yes—
380#14579146C2314yes—
381#14579146C2314yes—
382#14579146C2314yes—
383#14579146C2314yes—
384#14579145C2314yes—
385#14579145C2312yes—
386#14579145C2314yes—
387#14579145C2314yes—
388#14579145C2312yes—
389#14579144C2314yes—
390#14579144C2314yes—
391#14579144C2314yes—
392#14579144C2314yes—
393#14579144C2314yes—
394#14579144C2314yes—
395#14579144C2314yes—
396#14579144C2312yes—
397#14579144C2312yes—
398#14579144C2312yes—
399#14579144C2312yes—
400#14579143C2314yes—
401#14579143C2314yes—
402#14579143C2314yes—
403#14579143C2314yes—
404#14579143C2314yes—
405#14579143C2314yes—
406#14579143C2314yes—
407#14579143C2314yes—
408#14579143C2314yes—
409#14579143C2314yes—
410#14579142C2312yes—
411#14579142C2312yes—
412#14579141C2314yes—
413#14579141C2314yes—
414#14579141C2314yes—
415#14579141C2314yes—
416#14579141C2314yes—
417#14579141C2312yes—
418#14579141C2314yes—
419#14579141C2312yes—
420#14579140C2314yes—
421#14579140C2314yes—
422#14579140C2312yes—
423#14579140C2314yes—
424#14579139C2314yes—
425#14579139C2314yes—
426#14579139C2314yes—
427#14579139C2314yes—
428#14579139C2314yes—
429#14579139C2314yes—
430#14579139C2314yes—
431#14579139C2314yes—
432#14579139C2314yes—
433#14579139C2314yes—
434#14579139C2314yes—
435#14579139C2314yes—
436#14579139C2314yes—
437#14579139C2314yes—
438#14579139C2314yes—
439#14579139C2314yes—
440#14579139C2314yes—
441#14579139C2314yes—
442#14579139C2314yes—
443#14579139C2314yes—
444#14579138C2314yes—
445#14579138C2314yes—
446#14579138C2314yes—
447#14579138C2314yes—
448#14579138C2314yes—
449#14579138C2314yes—
450#14579138C2314yes—
451#14579138C2314yes—
452#14579137C2314yes—
453#14579137C2314yes—
454#14579137C2314yes—
455#14579137C2314yes—
456#14579137C2314yes—
457#14579137C2314yes—
458#14579137C2314yes—
459#14579137C2314yes—
460#14579137C2314yes—
461#14579136C2312yes—
462#14579136C2314yes—
463#14579136C2314yes—
464#14579136C2314yes—
465#14579136C2314yes—
466#14579136C2314yes—
467#14579136C2314yes—
468#14579136C2314yes—
469#14579136C2314yes—
470#14579136C2312yes—
471#14579136C2314yes—
472#14579136C2314yes—
473#14579136C2314yes—
474#14579136C2314yes—
475#14579135C2314yes—
476#14579135C2312yes—
477#14579135C2314yes—
478#14579135C2314yes—
479#14579135C2314yes—
480#14579135C2314yes—
481#14579135C2314yes—
482#14579134C2314yes—
483#14579134C2314yes—
484#14579134C2314yes—
485#14579134C2314yes—
486#14579134C2314yes—
487#14579134C2314yes—
488#14579134C2314yes—
489#14579134C2314yes—
490#14579134C2314yes—
491#14579134C2314yes—
492#14579134C2314yes—
493#14579134C2314yes—
494#14579134C2314yes—
495#14579134C2314yes—
496#14579133C2314yes—
497#14579133C2314yes—
498#14579132C2314yes—
499#14579131C2314yes—
500#14579131C2314yes—
501#14579131C2312yes—
502#14579131C2314yes—
503#14579131C2314yes—
504#14579131C2314yes—
505#14579131C2314yes—
506#14579131C2314yes—
507#14579131C2312yes—
508#14579130C2314yes—
509#14579130C2314yes—
510#14579129C2312yes—
511#14579129C2312yes—
512C4×Dic158C2314yes—
513C4×Dic158C2312yes—
514C4×Dic158C2312yes—
515C4×Dic158C2314yes—
516#14579126C2314yes—
517#14579126C2314yes—
518#14579126C2314yes—
519#14579126C2312yes—
520#14579126C2314yes—
521#14579126C2312yes—
522C4×D316C2312yes—
523C4×D316C2314yes—
524C4×D316C2314yes—
525C4×D316C2314yes—
526C4×D316C2314yes—
527C4×D316C2312yes—
528C4×D316C2314yes—
529#14579123C2314yes—
530#14579123C2312yes—
531#14579123C2314yes—
532#14579123C2314yes—
533#14579123C2314yes—
534#14579123C2314yes—
535#14579123C2314yes—
536#14579123C2314yes—
537#14579123C2314yes—
538#14579123C2314yes—
539#14579123C2312yes—
540#14579123C2314yes—
541C4×C22⋊D79C2314yes—
542C4×C22⋊D79C2314yes—
543C4×C22⋊D79C2314yes—
544C4×C22⋊D79C2314yes—
545C4×C22⋊D79C2314yes—
546C4×C22⋊D79C2314yes—
547C4×C22⋊D79C2312yes—
548C4×C22⋊D79C2314yes—
549C4×C22⋊D79C2314yes—
550C4×C22⋊D79C2314yes—
551C4×C22⋊D79C2312yes—
552(C22⋊D79)⋊C4C2314yes—
553(C22⋊D79)⋊C4C2314yes—
554(C22⋊D79)⋊C4C2314yes—
555(C22⋊D79)⋊C4C2314yes—
556(C22⋊D79)⋊C4C2314yes—
557(C22⋊D79)⋊C4C2314yes—
558(C22⋊D79)⋊C4C2314yes—
559(C22⋊D79)⋊C4C2314yes—
560(C22⋊D79)⋊C4C2314yes—
561(C22⋊D79)⋊C4C2314yes—
562#14579120C2312yes—
563#14579120C2314yes—
564#14579120C2311yescharacteristic
565#14579119C2314yes—
566#14579119C2314yes—
567#14579119C2314yes—
568#14579119C2312yes—
569#14579119C2314yes—
570#14579119C2312yes—
571#14579119C2314yes—
572#14579118C2312yes—
573#14579118C2312yes—
574#14579118C2314yes—
575#14579118C2314yes—
576#14579118C2314yes—
577#14579118C2311yescharacteristic
578#14579118C2311yescharacteristic
579#14579117C2312yes—
580#14579117C2314yes—
581#14579117C2314yes—
582#14579117C2312yes—
583C2×Dic79⋊C4C2314yes—
584C4⋊C4×D79C2314yes—
585C4⋊C4×D79C2314yes—
586C4⋊C4×D79C2314yes—
587C4⋊C4×D79C2314yes—
588C4⋊C4×D79C2314yes—
589C4⋊C4×D79C2314yes—
590C4⋊C4×D79C2314yes—
591C4⋊C4×D79C2314yes—
592C4⋊C4×D79C2312yes—
593C4⋊C4×D79C2314yes—
594C4⋊C4×D79C2312yes—
595C2×C22⋊Dic79C2312yes—
596C2×(C2×D79)⋊C4C2314yes—
597C22⋊C4×D79C2314yes—
598C22⋊C4×D79C2314yes—
599C22⋊C4×D79C2312yes—
600C22⋊C4×D79C2314yes—
601C22⋊C4×D79C2314yes—
602C22⋊C4×D79C2314yes—
603C22⋊C4×D79C2314yes—
604C22⋊C4×D79C2312yes—
605C42×D79C2311yescharacteristic
606C42×D79C2311yescharacteristic
607C42×D79C2312yes—
608C42×D79C2312yes—
609C22×Q8×C79C2312yes—
610C22×Q8×C79C2311yescharacteristic
611C22×D4×C79C2311yescharacteristic
612C23×C4×C79C2312yes—
613C4⋊Q8×C79C2312yes—
614C4⋊Q8×C79C2312yes—
615C4⋊Q8×C79C2314yes—
616C4⋊Q8×C79C2314yes—
617C4⋊Q8×C79C2312yes—
618C4⋊Q8×C79C2312yes—
619#126×C79C2314yes—
620#126×C79C2314yes—
621#126×C79C2314yes—
622#126×C79C2314yes—
623#126×C79C2314yes—
624#126×C79C2314yes—
625#126×C79C2314yes—
626#126×C79C2314yes—
627#125×C79C2312yes—
628#125×C79C2312yes—
629#125×C79C2314yes—
630#125×C79C2314yes—
631#125×C79C2312yes—
632#125×C79C2312yes—
633#124×C79C2314yes—
634#124×C79C2311yescharacteristic
635#124×C79C2311yescharacteristic
636#124×C79C2311yescharacteristic
637#124×C79C2311yescharacteristic
638#123×C79C2314yes—
639#123×C79C2314yes—
640#123×C79C2312yes—
641#123×C79C2312yes—
642#123×C79C2312yes—
643#123×C79C2312yes—
644C22⋊Q8×C79C2314yes—
645C22⋊Q8×C79C2314yes—
646C22⋊Q8×C79C2314yes—
647C22⋊Q8×C79C2314yes—
648C22⋊Q8×C79C2314yes—
649C22⋊Q8×C79C2314yes—
650C22⋊Q8×C79C2314yes—
651C22⋊Q8×C79C2314yes—
652C2×C4⋊C4×C79C2314yes—
653C2×C4⋊C4×C79C2312yes—
654C2×C4⋊C4×C79C2314yes—
655C2×C4⋊C4×C79C2314yes—
656C2×C4⋊C4×C79C2312yes—
657C2×C22⋊C4×C79C2312yes—
658C2×C22⋊C4×C79C2314yes—
659C2×C22⋊C4×C79C2314yes—
660C2×C42×C79C2311yescharacteristic
661C2×C42×C79C2312yes—
662C23×D79C2412yes—
663C23×D79C2412yes—
664C23×D79C2412yes—
665#11929625—44no—
666#11929625—42no—
667#11929625—48no—
668#11929625—42no—
669#11929625—44no—
670#11929625—44no—
671#11929624—216no—
672#11929624—24no—
673#11929624—28no—
674#11929624—48no—
675#11929624—42no—
676#11929624—44no—
677#11929624—44no—
678#11929624—48no—
679#11929624—42no—
680#11929624—48no—
681#11929624—48no—
682#11929623—42no—
683#11929623—44no—
684#11929623—42no—
685C2×Dic158—44no—
686C2×Dic158C2412yes—
687C2×Dic158C2414yes—
688C2×Dic158C2411yescharacteristic
689C2×Dic158C2412yes—
690C2×Dic158C2412yes—
691C2×Dic158C2414yes—
692C2×Dic158C2411yescharacteristic
693C2×Dic158C2414yes—
694C2×Dic158C2411yescharacteristic
695C2×Dic158C2412yes—
696C2×Dic158C2414yes—
697Q8×D79—42no—
698Q8×D79—48no—
699Q8×D79—44no—
700Q8×D79—44no—
701Q8×D79—44no—
702Q8×D79—42no—
703C2×D316—44no—
704C2×D316C2414yes—
705C2×D316C2412yes—
706C2×D316C2411yescharacteristic
707C2×D316C2414yes—
708C2×D316C2412yes—
709C2×D316C2412yes—
710C2×D316C2414yes—
711C2×D316C2411yescharacteristic
712C2×D316C2411yescharacteristic
713C2×D316C2414yes—
714C2×D316C2414yes—
715C2×D316C2412yes—
716C2×D316C2414yes—
717C2×D316C2414yes—
718C2×C22⋊D79—28no—
719C2×C22⋊D79—44no—
720C2×C22⋊D79—44no—
721C2×C22⋊D79C2412yes—
722C2×C22⋊D79C2412yes—
723C2×C22⋊D79C2412yes—
724C2×C22⋊D79C2414yes—
725C2×C22⋊D79C2412yes—
726C2×C22⋊D79C2411yescharacteristic
727C2×C22⋊D79C2412yes—
728C2×C22⋊D79C2412yes—
729C2×C22⋊D79C2414yes—
730C2×C22⋊D79C2414yes—
731C2×C22⋊D79C2414yes—
732C2×C22⋊D79C2414yes—
733C2×C22⋊D79C2414yes—
734C2×C22⋊D79C2411yescharacteristic
735D4×D79—42no—
736D4×D79—44no—
737D4×D79—42no—
738C22×Dic79C2412yes—
739C22×Dic79C2412yes—
740C22×Dic79C2412yes—
741C22×Dic79C2414yes—
742C2×C4×D79—44no—
743C2×C4×D79—44no—
744C2×C4×D79C2412yes—
745C2×C4×D79C2412yes—
746C2×C4×D79C2411yescharacteristic
747C2×C4×D79C2411yescharacteristic
748C2×C4×D79C2414yes—
749C2×C4×D79C2414yes—
750C2×C4×D79C2412yes—
751C2×C4×D79C2414yes—
752C2×C4×D79C2414yes—
753C2×C4×D79C2412yes—
754C2×C4×D79C2414yes—
755C2×C4×D79C2412yes—
756C2×C4×D79C2412yes—
757C2×C4×D79C2414yes—
758C2×C4×D79C2414yes—
759C2×C4×D79C2414yes—
760C2×C4×D79C2412yes—
761C2×C4×D79C2412yes—
762C2×C4×D79C2414yes—
763C2×C4×D79C2414yes—
764C2×C4×D79C2414yes—
765C2×C4×D79C2414yes—
766C4⋊Dic79C2414yes—
767C4⋊Dic79C2414yes—
768C4⋊Dic79C2414yes—
769C4⋊Dic79C2414yes—
770C4⋊Dic79C2414yes—
771C4⋊Dic79C2412yes—
772C4⋊Dic79C2412yes—
773C4⋊Dic79C2414yes—
774C4⋊Dic79C2414yes—
775C4⋊Dic79C2412yes—
776C4⋊Dic79C2414yes—
777Dic79⋊C4C2412yes—
778Dic79⋊C4C2414yes—
779Dic79⋊C4C2414yes—
780Dic79⋊C4C2414yes—
781Dic79⋊C4C2414yes—
782Dic79⋊C4C2414yes—
783Dic79⋊C4C2414yes—
784Dic79⋊C4C2414yes—
785Dic79⋊C4C2414yes—
786Dic79⋊C4C2414yes—
787Dic79⋊C4C2414yes—
788Dic79⋊C4C2414yes—
789Dic79⋊C4C2414yes—
790Dic79⋊C4C2414yes—
791Dic79⋊C4C2414yes—
792Dic79⋊C4C2414yes—
793Dic79⋊C4C2414yes—
794Dic79⋊C4C2414yes—
795Dic79⋊C4C2414yes—
796Dic79⋊C4C2414yes—
797Dic79⋊C4C2412yes—
798Dic79⋊C4C2414yes—
799Dic79⋊C4C2414yes—
800Dic79⋊C4C2414yes—
801C22⋊Dic79C2414yes—
802C22⋊Dic79C2414yes—
803C22⋊Dic79C2412yes—
804C22⋊Dic79C2412yes—
805C22⋊Dic79C2414yes—
806C22⋊Dic79C2414yes—
807C22⋊Dic79C2414yes—
808C22⋊Dic79C2412yes—
809(C2×D79)⋊C4C2414yes—
810(C2×D79)⋊C4C2414yes—
811(C2×D79)⋊C4C2414yes—
812(C2×D79)⋊C4C2414yes—
813(C2×D79)⋊C4C2414yes—
814(C2×D79)⋊C4C2414yes—
815(C2×D79)⋊C4C2414yes—
816(C2×D79)⋊C4C2414yes—
817(C2×D79)⋊C4C2414yes—
818(C2×D79)⋊C4C2414yes—
819(C2×D79)⋊C4C2414yes—
820(C2×D79)⋊C4C2414yes—
821(C2×D79)⋊C4C2414yes—
822(C2×D79)⋊C4C2414yes—
823(C2×D79)⋊C4C2414yes—
824(C2×D79)⋊C4C2412yes—
825(C2×D79)⋊C4C2414yes—
826(C2×D79)⋊C4C2414yes—
827(C2×D79)⋊C4C2412yes—
828(C2×D79)⋊C4C2414yes—
829(C2×D79)⋊C4C2414yes—
830(C2×D79)⋊C4C2414yes—
831(C2×D79)⋊C4C2414yes—
832(C2×D79)⋊C4C2414yes—
833(C2×D79)⋊C4C2414yes—
834(C2×D79)⋊C4C2414yes—
835(C2×D79)⋊C4C2414yes—
836(C2×D79)⋊C4C2414yes—
837(C2×D79)⋊C4C2414yes—
838(C2×D79)⋊C4C2414yes—
839C4×Dic79C2412yes—
840C4×Dic79C2414yes—
841C4×Dic79C2414yes—
842C4×Dic79C2411yescharacteristic
843C4×Dic79C2412yes—
844C4×Dic79C2411yescharacteristic
845C4×Dic79C2412yes—
846C4×Dic79C2412yes—
847C4×Dic79C2414yes—
848C4×Dic79C2414yes—
849C4×Dic79C2414yes—
850C4×Dic79C2414yes—
851C4×Dic79C2414yes—
852C24×C79C2412yes—
853C2×Q8×C79—44no—
854C2×Q8×C79—42no—
855C2×Q8×C79C2412yes—
856C2×Q8×C79C2414yes—
857C2×Q8×C79C2412yes—
858C2×Q8×C79C2412yes—
859C2×Q8×C79C2411yescharacteristic
860C2×Q8×C79C2411yescharacteristic
861C2×D4×C79—42no—
862C2×D4×C79C2411yescharacteristic
863C2×D4×C79C2412yes—
864C2×D4×C79C2411yescharacteristic
865C22×C4×C79—44no—
866C22×C4×C79C2412yes—
867C22×C4×C79C2411yescharacteristic
868C22×C4×C79C2414yes—
869C22×C4×C79C2412yes—
870C22×C4×C79C2414yes—
871C22×C4×C79C2412yes—
872C22×C4×C79C2414yes—
873C22×C4×C79C2412yes—
874C4⋊C4×C79C2414yes—
875C4⋊C4×C79C2412yes—
876C4⋊C4×C79C2412yes—
877C4⋊C4×C79C2414yes—
878C4⋊C4×C79C2414yes—
879C4⋊C4×C79C2414yes—
880C4⋊C4×C79C2414yes—
881C4⋊C4×C79C2414yes—
882C4⋊C4×C79C2414yes—
883C4⋊C4×C79C2414yes—
884C4⋊C4×C79C2414yes—
885C4⋊C4×C79C2414yes—
886C4⋊C4×C79C2414yes—
887C4⋊C4×C79C2414yes—
888C4⋊C4×C79C2414yes—
889C4⋊C4×C79C2412yes—
890C4⋊C4×C79C2414yes—
891C4⋊C4×C79C2412yes—
892C22⋊C4×C79C2414yes—
893C22⋊C4×C79C2414yes—
894C22⋊C4×C79C2414yes—
895C22⋊C4×C79C2414yes—
896C22⋊C4×C79C2414yes—
897C22⋊C4×C79C2414yes—
898C22⋊C4×C79C2414yes—
899C22⋊C4×C79C2414yes—
900C22⋊C4×C79C2412yes—
901C22⋊C4×C79C2412yes—
902C22⋊C4×C79C2414yes—
903C42×C79C2411yescharacteristic
904C42×C79C2411yescharacteristic
905C42×C79C2412yes—
906C42×C79C2412yes—
907C42×C79C2414yes—
908C42×C79C2412yes—
909C23×C79—24no—
910C23×C79—44no—
911C23×C79C2512yes—
912C23×C79C2512yes—
913C23×C79C2511yescharacteristic
914C22×D79—24no—
915C22×D79—42no—
916C22×D79—44no—
917C22×D79—44no—
918C22×D79—42no—
919C22×D79—44no—
920C22×D79C2512yes—
921C22×D79C2511yescharacteristic
922C22×D79C2514yes—
923C22×D79C2512yes—
924C22×D79C2511yescharacteristic
925Q8×C79—42no—
926Q8×C79—44no—
927Q8×C79—42no—
928Q8×C79—42no—
929Q8×C79—41no—
930Q8×C79—41no—
931D4×C79—42no—
932D4×C79—41no—
933D4×C79—41no—
934C2×C4×C79—28no—
935C2×C4×C79—22no—
936C2×C4×C79—24no—
937C2×C4×C79—42no—
938C2×C4×C79—42no—
939C2×C4×C79—44no—
940C2×C4×C79—42no—
941C2×C4×C79—44no—
942C2×C4×C79C2512yes—
943C2×C4×C79C2514yes—
944C2×C4×C79C2514yes—
945C2×C4×C79C2512yes—
946C2×C4×C79C2512yes—
947C2×C4×C79C2511yescharacteristic
948C2×C4×C79C2514yes—
949C2×C4×C79C2512yes—
950C2×C4×C79C2511yescharacteristic
951C2×C4×C79C2514yes—
952C22⋊D79—24no—
953C22⋊D79—22no—
954C22⋊D79—28no—
955C22⋊D79—24no—
956C22⋊D79—24no—
957C22⋊D79—24no—
958C22⋊D79—42no—
959C22⋊D79—42no—
960C22⋊D79—44no—
961C22⋊D79—44no—
962C22⋊D79—44no—
963C22⋊D79—44no—
964C22⋊D79—44no—
965C22⋊D79H(5,𝔽2)14yes—
966C2×Dic79—24no—
967C2×Dic79—42no—
968C2×Dic79—44no—
969C2×Dic79—42no—
970C2×Dic79C2512yes—
971C2×Dic79C2514yes—
972C2×Dic79C2514yes—
973C2×Dic79C2512yes—
974C2×Dic79C2512yes—
975C2×Dic79C2514yes—
976C2×Dic79C2512yes—
977C2×Dic79C2511yescharacteristic
978C2×Dic79C2511yescharacteristic
979D316—22no—
980D316—28no—
981D316—24no—
982D316—41no—
983D316—44no—
984D316—42no—
985D316—44no—
986D316—44no—
987D316—44no—
988D316—44no—
989D316—44no—
990D316—41no—
991D316—42no—
992D316—42no—
993C4×D79—28no—
994C4×D79—22no—
995C4×D79—24no—
996C4×D79—28no—
997C4×D79—22no—
998C4×D79—24no—
999C4×D79—44no—
1000C4×D79—44no—
1001C4×D79—42no—
1002C4×D79—42no—
1003C4×D79—44no—
1004C4×D79—44no—
1005C4×D79—44no—
1006C4×D79—44no—
1007C4×D79—44no—
1008C4×D79—42no—
1009C4×D79—42no—
1010C4×D79—44no—
1011C4×D79—44no—
1012C4×D79—44no—
1013C4×D79—42no—
1014C4×D79—42no—
1015Dic158—24no—
1016Dic158—28no—
1017Dic158—22no—
1018Dic158—42no—
1019Dic158—42no—
1020Dic158—44no—
1021Dic158—41no—
1022Dic158—44no—
1023Dic158—44no—
1024Dic158—42no—
1025Dic158—41no—
1026C22×C79—22no—
1027C22×C79—22no—
1028C22×C79—22no—
1029C22×C79—24no—
1030C22×C79—24no—
1031C22×C79—84no—
1032C22×C79C2×H(5,𝔽2)12yes—
1033C22×C79C2611yescharacteristic
1034C2×D79—22no—
1035C2×D79—22no—
1036C2×D79—21no—
1037C2×D79—24no—
1038C2×D79—22no—
1039C2×D79—24no—
1040C2×D79—24no—
1041C2×D79—24no—
1042C2×D79—24no—
1043C2×D79—22no—
1044C2×D79—84no—
1045C2×D79—84no—
1046C2×D79—162no—
1047C2×D79C2×H(5,𝔽2)12yes—
1048C4×C79—24no—
1049C4×C79—24no—
1050C4×C79—21no—
1051C4×C79—21no—
1052C4×C79—22no—
1053C4×C79—22no—
1054C4×C79—22no—
1055C4×C79—24no—
1056C4×C79—24no—
1057C4×C79—22no—
1058Dic79—22no—
1059Dic79—21no—
1060Dic79—24no—
1061Dic79—22no—
1062Dic79—22no—
1063Dic79—22no—
1064Dic79—24no—
1065Dic79—24no—
1066Dic79C2×H(5,𝔽2)12yes—
1067#63063—791nomaximal, Sylow
1068C2×C79—22no—
1069C2×C79—42no—
1070C2×C79—42no—
1071C2×C79C22×H(5,𝔽2)11yescharacteristic
1072C2×C792−1+612yes—
1073D79—22no—
1074D79—42no—
1075D79—44no—
1076D79—42no—
1077D79—41no—
1078#3561—792no—
1079#3560—794no—
1080#3560—794no—
1081#3559—792no—
1082#3559—792no—
1083#3552—794no—
1084#3551—792no—
1085#3550—791no—
1086#3545—791no—
1087#3545—791no—
1088#3544—792no—
1089#3544—792no—
1090#3541—794no—
1091#3538—792no—
1092#3535—794no—
1093#3535—794no—
1094#3533—792no—
1095#3533—792no—
1096#3529—791no—
1097C2×#563—791no—
1098C2×#563D7911yescharacteristic, complemented
1099#3521—794no—
1100#3515—792no—
1101#3500—791no—
1102#3499—792no—
1103#3489—794no—
1104#3485—792no—
1105C79#6306311yescharacteristic, complemented, Sylow
1106C2×2−1+4—792no—
1107C2×2−1+4—791no—
1108C2×H(5,𝔽2)—791no—
1109C22×#41—792no—
1110#563—792no—
1111#563—792no—
1112#563—794no—
1113#563—794no—
1114#563—794no—
1115#563—792no—
1116#563—792no—
1117#563—791no—
1118#563—792no—
1119#563—794no—
1120#563—794no—
1121#563C2×D7911yescharacteristic, complemented
1122#563C2×D7912yescomplemented
1123#563C2×D7914yescomplemented
1124#563C2×D7912yescomplemented
1125#563C2×D7911yescharacteristic, complemented
1126#563C2×D7914yescomplemented
1127#563C2×D7912yescomplemented
1128#562—792no—
1129#562—792no—
1130#562—792no—
1131#562—794no—
1132#562—794no—
1133#562—794no—
1134H(3,𝔽4)—791no—
1135#560—794no—
1136#560—794no—
1137#560—792no—
1138#559—792no—
1139Q82—792no—
1140#557—792no—
1141#556—794no—
1142#556—794no—
1143#555—792no—
1144#555—792no—
1145#554—794no—
1146#554—792no—
1147#554—794no—
1148#554—794no—
1149#554—794no—
1150#554—792no—
1151#553—794no—
1152#553—794no—
1153#553—794no—
1154#553—794no—
1155#553—792no—
1156#553—794no—
1157#553—794no—
1158#553—792no—
1159#553—794no—
1160#552—794no—
1161#552—794no—
1162#552—794no—
1163#552—794no—
1164#552—792no—
1165#552—794no—
1166#552—792no—
1167#552—794no—
1168#551—794no—
1169#551—794no—
1170#551—794no—
1171#551—794no—
1172#551—792no—
1173#551—792no—
1174#551—794no—
1175#551—794no—
1176#551—794no—
1177#551—794no—
1178D4×Q8—794no—
1179D4×Q8—794no—
1180D4×Q8—794no—
1181D4×Q8—794no—
1182#548—794no—
1183#548—794no—
1184#548—794no—
1185#547—794no—
1186#547—794no—
1187#547—794no—
1188#547—794no—
1189#547—794no—
1190#547—794no—
1191#547—794no—
1192#547—794no—
1193#547—792no—
1194#547—794no—
1195#547—794no—
1196#547—794no—
1197#547—794no—
1198#547—794no—
1199#546—794no—
1200#546—794no—
1201#546—794no—
1202#546—794no—
1203#546—794no—
1204#546—794no—
1205#546—794no—
1206#546—794no—
1207#546—794no—
1208#546—794no—
1209#546—794no—
1210#544—794no—
1211#544—794no—
1212#544—794no—
1213#544—794no—
1214#543—794no—
1215#542—794no—
1216#542—794no—
1217#542—794no—
1218#542—794no—
1219#542—794no—
1220#542—794no—
1221#542—794no—
1222#542—794no—
1223#542—794no—
1224#541—794no—
1225#541—794no—
1226#540—794no—
1227#540—794no—
1228#539—794no—
1229#539—794no—
1230#539—794no—
1231#539—794no—
1232#539—794no—
1233#539—794no—
1234#539—794no—
1235#539—794no—
1236#539—794no—
1237#539—794no—
1238#539—794no—
1239#539—794no—
1240#538—794no—
1241#538—794no—
1242#538—794no—
1243#538—794no—
1244#538—794no—
1245#538—794no—
1246#538—794no—
1247#538—794no—
1248#538—794no—
1249#537—794no—
1250#537—794no—
1251#537—794no—
1252#536—794no—
1253#536—792no—
1254#536—792no—
1255#536—791no—
1256#536—792no—
1257#536—792no—
1258#536—792no—
1259#536—792no—
1260#536—791no—
1261#536—791no—
1262#536—792no—
1263#536—792no—
1264#536—794no—
1265#536—794no—
1266#535—791no—
1267#535—791no—
1268#535—791no—
1269#534—792no—
1270#534—792no—
1271#534—792no—
1272#534—792no—
1273#533—792no—
1274#532—792no—
1275#532—792no—
1276#532—791no—
1277#532—791no—
1278#532—792no—
1279#532—791no—
1280C2×C4⋊Q8—792no—
1281C2×C4⋊Q8—792no—
1282C2×C4⋊Q8C2×D7912yescomplemented
1283#529—794no—
1284#529—794no—
1285#529—794no—
1286#529—792no—
1287#529—792no—
1288#529—792no—
1289#529—794no—
1290C2×#126—794no—
1291C2×#126C2×D7914yescomplemented
1292C2×#125—792no—
1293C2×#125C2×D7912yescomplemented
1294C2×#124—791no—
1295C2×#124—791no—
1296C2×#124C2×D7911yescharacteristic
1297#525—794no—
1298#525—792no—
1299#525—792no—
1300#525—794no—
1301#525—794no—
1302C2×#123—792no—
1303C2×#123—792no—
1304C2×#123—792no—
1305C2×#123C2×D7912yes—
1306C2×C22⋊Q8—794no—
1307C2×C22⋊Q8—794no—
1308C2×C22⋊Q8C2×D7914yescomplemented
1309#520—794no—
1310#518—792no—
1311C4×#41—792no—
1312C4×#41—791no—
13132−1+4—3168no—
13142−1+4—3164no—
1315H(5,𝔽2)—3164no—
1316C2×#41—3168no—
1317C2×#41—792no—
1318C2×#41—794no—
1319C2×#41—791no—
1320C2×#41—791no—
1321C2×#41—792no—
1322C2×#41—792no—
1323C2×#41—791no—
1324C2×#41—792no—
1325C2×#41—791no—
1326C2×#41—794no—
1327C2×#41—791no—
1328C2×#41—792no—
1329C2×#41—792no—
1330C2×#41—791no—
1331C2×#41—794no—
1332C2×#41—794no—
1333C2×#41—794no—
1334C2×#41—792no—
1335C2×#41—791no—
1336C2×#41—794no—
1337C22×Q8—792no—
1338C22×Q8—794no—
1339C22×Q8—791no—
1340C22×Q8—791no—
1341C22×Q8—792no—
1342C22×Q8—792no—
1343C22×Q8—792no—
1344C22×Q8C22×D7912yes—
1345C22×Q8C22×D7911yescharacteristic
1346C22×D4—792no—
1347C22×D4—792no—
1348C22×D4—791no—
1349C22×D4—792no—
1350C22×D4—791no—
1351C22×D4—792no—
1352C22×D4—792no—
1353C22×D4C22×D7911yescharacteristic
1354C23×C4—792no—
1355C23×C4—792no—
1356C23×C4C22×D7912yes—
1357C4⋊Q8—792no—
1358C4⋊Q8—792no—
1359C4⋊Q8—792no—
1360C4⋊Q8—792no—
1361C4⋊Q8—791no—
1362C4⋊Q8—791no—
1363C4⋊Q8—794no—
1364C4⋊Q8—794no—
1365C4⋊Q8—794no—
1366C4⋊Q8—794no—
1367C4⋊Q8—794no—
1368C4⋊Q8—794no—
1369C4⋊Q8—792no—
1370C4⋊Q8—792no—
1371C4⋊Q8—794no—
1372C4⋊Q8—794no—
1373C4⋊Q8—794no—
1374C4⋊Q8—792no—
1375C4⋊Q8—791no—
1376C4⋊Q8C22×D7912yes—
1377C4⋊Q8C22×D7912yes—
1378C4⋊Q8C22×D7912yes—
1379C4⋊Q8C22×D7912yes—
1380C4⋊Q8C22×D7914yes—
1381C4⋊Q8C22×D7914yes—
1382#127—791no—
1383#127—791no—
1384#127—792no—
1385#127—791no—
1386#126—794no—
1387#126—794no—
1388#126—794no—
1389#126—794no—
1390#126—794no—
1391#126—794no—
1392#126—794no—
1393#126—794no—
1394#126—794no—
1395#126—794no—
1396#126—794no—
1397#126—794no—
1398#126—794no—
1399#126—794no—
1400#126—794no—
1401#126—794no—
1402#126—794no—
1403#126—794no—
1404#126—794no—
1405#126—794no—
1406#126—794no—
1407#126C22×D7914yes—
1408#126C22×D7914yes—
1409#126C22×D7914yes—
1410#126C22×D7914yes—
1411#126C22×D7914yes—
1412#126C22×D7914yes—
1413#126C22×D7914yes—
1414#126C22×D7914yes—
1415#125—792no—
1416#125—792no—
1417#125—794no—
1418#125—794no—
1419#125—794no—
1420#125—794no—
1421#125—794no—
1422#125—794no—
1423#125—794no—
1424#125—794no—
1425#125—794no—
1426#125—794no—
1427#125—794no—
1428#125—794no—
1429#125—794no—
1430#125—792no—
1431#125—794no—
1432#125C22×D7912yes—
1433#125C22×D7912yes—
1434#125C22×D7912yes—
1435#125C22×D7912yes—
1436#125C22×D7914yes—
1437#125C22×D7914yes—
1438#124—791no—
1439#124—791no—
1440#124—792no—
1441#124—792no—
1442#124—792no—
1443#124—792no—
1444#124—794no—
1445#124—794no—
1446#124—791no—
1447#124—791no—
1448#124—794no—
1449#124—794no—
1450#124—794no—
1451#124—794no—
1452#124—794no—
1453#124—794no—
1454#124—794no—
1455#124—794no—
1456#124—794no—
1457#124—794no—
1458#124—791no—
1459#124—792no—
1460#124—794no—
1461#124—791no—
1462#124—792no—
1463#124—792no—
1464#124C22×D7911yescharacteristic
1465#124C22×D7911yescharacteristic
1466#124C22×D7911yescharacteristic
1467#124C22×D7911yescharacteristic
1468#124C22×D7914yes—
1469#123—792no—
1470#123—792no—
1471#123—792no—
1472#123—792no—
1473#123—792no—
1474#123—792no—
1475#123—794no—
1476#123—794no—
1477#123—794no—
1478#123—794no—
1479#123—794no—
1480#123—794no—
1481#123—794no—
1482#123—794no—
1483#123—794no—
1484#123—794no—
1485#123—794no—
1486#123—794no—
1487#123—794no—
1488#123—794no—
1489#123—794no—
1490#123—794no—
1491#123—794no—
1492#123—794no—
1493#123—794no—
1494#123—794no—
1495#123—794no—
1496#123—794no—
1497#123—794no—
1498#123—794no—
1499#123—794no—
1500#123—794no—
1501#123—794no—
1502#123—794no—
1503#123—794no—
1504#123—792no—
1505#123—792no—
1506#123—794no—
1507#123—794no—
1508#123—794no—
1509#123—794no—
1510#123—794no—
1511#123—794no—
1512#123—794no—
1513#123—794no—
1514#123—794no—
1515#123—794no—
1516#123—794no—
1517#123—794no—
1518#123—794no—
1519#123C22×D7912yes—
1520#123C22×D7912yes—
1521#123C22×D7912yes—
1522#123C22×D7912yes—
1523#123C22×D7914yes—
1524#123C22×D7914yes—
1525C22⋊Q8—794no—
1526C22⋊Q8—794no—
1527C22⋊Q8—794no—
1528C22⋊Q8—794no—
1529C22⋊Q8—794no—
1530C22⋊Q8—794no—
1531C22⋊Q8—794no—
1532C22⋊Q8—794no—
1533C22⋊Q8—794no—
1534C22⋊Q8—794no—
1535C22⋊Q8—794no—
1536C22⋊Q8—794no—
1537C22⋊Q8—792no—
1538C22⋊Q8—794no—
1539C22⋊Q8—794no—
1540C22⋊Q8—794no—
1541C22⋊Q8—794no—
1542C22⋊Q8—794no—
1543C22⋊Q8—794no—
1544C22⋊Q8—794no—
1545C22⋊Q8—794no—
1546C22⋊Q8—794no—
1547C22⋊Q8—794no—
1548C22⋊Q8—792no—
1549C22⋊Q8—794no—
1550C22⋊Q8—792no—
1551C22⋊Q8—794no—
1552C22⋊Q8—794no—
1553C22⋊Q8—794no—
1554C22⋊Q8—794no—
1555C22⋊Q8—794no—
1556C22⋊Q8—794no—
1557C22⋊Q8—794no—
1558C22⋊Q8—794no—
1559C22⋊Q8—794no—
1560C22⋊Q8—794no—
1561C22⋊Q8—794no—
1562C22⋊Q8—794no—
1563C22⋊Q8—794no—
1564C22⋊Q8—794no—
1565C22⋊Q8—794no—
1566C22⋊Q8—794no—
1567C22⋊Q8—794no—
1568C22⋊Q8—794no—
1569C22⋊Q8—794no—
1570C22⋊Q8—794no—
1571C22⋊Q8—794no—
1572C22⋊Q8—794no—
1573C22⋊Q8—794no—
1574C22⋊Q8C22×D7914yes—
1575C22⋊Q8C22×D7914yes—
1576C22⋊Q8C22×D7914yes—
1577C22⋊Q8C22×D7914yes—
1578C22⋊Q8C22×D7914yes—
1579C22⋊Q8C22×D7914yes—
1580C22⋊Q8C22×D7914yes—
1581C22⋊Q8C22×D7914yes—
1582#121—794no—
1583#121—794no—
1584#121—794no—
1585#121—794no—
1586#121—794no—
1587#121—794no—
1588#121—792no—
1589#121—794no—
1590#121—794no—
1591#121—794no—
1592#121—794no—
1593#121—794no—
1594#121—792no—
1595#121—792no—
1596#121—794no—
1597#121—794no—
1598#121—794no—
1599#121—794no—
1600#121—794no—
1601#121—794no—
1602#121—794no—
1603#121—794no—
1604#121—794no—
1605#121—794no—
1606#121—794no—
1607#121—794no—
1608#121—794no—
1609#121—794no—
1610#121—794no—
1611#121—794no—
1612#121—794no—
1613#121—794no—
1614#121—794no—
1615#121—794no—
1616#121—794no—
1617#121—794no—
1618#121—794no—
1619#121—794no—
1620#120—794no—
1621#120—794no—
1622#120—792no—
1623#120—792no—
1624#120—792no—
1625#120—792no—
1626#120—794no—
1627#120—794no—
1628#120—794no—
1629#120—794no—
1630#120—794no—
1631#120—794no—
1632#120—794no—
1633C4×Q8—794no—
1634C4×Q8—794no—
1635C4×Q8—792no—
1636C4×Q8—792no—
1637C4×Q8—794no—
1638C4×Q8—794no—
1639C4×Q8—792no—
1640C4×Q8—794no—
1641C4×Q8—792no—
1642C4×Q8—794no—
1643C4×D4—794no—
1644C4×D4—792no—
1645C4×D4—794no—
1646C4×D4—792no—
1647C4×D4—794no—
1648C4×D4—794no—
1649C4×D4—794no—
1650C4×D4—794no—
1651C4×D4—794no—
1652C4×D4—794no—
1653C4×D4—794no—
1654C4×D4—794no—
1655C4×D4—794no—
1656C4×D4—792no—
1657C4×D4—794no—
1658C4×D4—794no—
1659C4×D4—794no—
1660C4×D4—794no—
1661C4×D4—794no—
1662C4×D4—792no—
1663C4×D4—794no—
1664C4×D4—794no—
1665C4×D4—794no—
1666C4×D4—794no—
1667C4×D4—794no—
1668C4×D4—794no—
1669C4×D4—794no—
1670C4×D4—794no—
1671C4×D4—794no—
1672C4×D4—794no—
1673C4×D4—794no—
1674C4×D4—794no—
1675C4×D4—794no—
1676C4×D4—794no—
1677C4×D4—792no—
1678C4×D4—794no—
1679C4×D4—792no—
1680C4×D4—794no—
1681C4×D4—794no—
1682C4×D4—794no—
1683#117—791no—
1684#117—792no—
1685#117—794no—
1686#117—794no—
1687#117—794no—
1688#117—794no—
1689#117—794no—
1690#117—794no—
1691#117—792no—
1692#117—792no—
1693#117—792no—
1694#117—792no—
1695#117—794no—
1696#117—794no—
1697#117—791no—
1698#117—791no—
1699#117—792no—
1700#117—792no—
1701#117—794no—
1702#117—794no—
1703#117—794no—
1704C2×C4⋊C4—794no—
1705C2×C4⋊C4—794no—
1706C2×C4⋊C4—794no—
1707C2×C4⋊C4—792no—
1708C2×C4⋊C4—794no—
1709C2×C4⋊C4—794no—
1710C2×C4⋊C4—794no—
1711C2×C4⋊C4—794no—
1712C2×C4⋊C4—794no—
1713C2×C4⋊C4—792no—
1714C2×C4⋊C4—794no—
1715C2×C4⋊C4—794no—
1716C2×C4⋊C4C22×D7914yes—
1717C2×C4⋊C4C22×D7912yes—
1718C2×C4⋊C4C22×D7914yes—
1719C2×C4⋊C4C22×D7914yes—
1720C2×C4⋊C4C22×D7912yes—
1721C2×C22⋊C4—792no—
1722C2×C22⋊C4—794no—
1723C2×C22⋊C4—792no—
1724C2×C22⋊C4—792no—
1725C2×C22⋊C4—794no—
1726C2×C22⋊C4—794no—
1727C2×C22⋊C4—794no—
1728C2×C22⋊C4—794no—
1729C2×C22⋊C4—794no—
1730C2×C22⋊C4—794no—
1731C2×C22⋊C4C22×D7912yes—
1732C2×C22⋊C4C22×D7914yes—
1733C2×C22⋊C4C22×D7914yes—
1734C2×C42—791no—
1735C2×C42—791no—
1736C2×C42—792no—
1737C2×C42—792no—
1738C2×C42C22×D7911yescharacteristic
1739C2×C42C22×D7912yes—
1740C24—792no—
1741C24—792no—
1742C24—792no—
1743C24C23×D7912yes—
1744#41—3168no—
1745#41—3162no—
1746#41—3168no—
1747#41—3162no—
1748#41—3164no—
1749#41—3164no—
1750#41—3168no—
1751#41—3168no—
1752#41—3164no—
1753#41—3162no—
1754#41—3168no—
1755#41—3162no—
1756#41—3164no—
1757#41—3164no—
1758#41—3162no—
1759#41—3164no—
1760#41—3162no—
1761#41—15816no—
1762#41—1584no—
1763#41—1588no—
1764C2×Q8—44no—
1765C2×Q8—42no—
1766C2×Q8—3164no—
1767C2×Q8—3168no—
1768C2×Q8—3162no—
1769C2×Q8—3164no—
1770C2×Q8—3164no—
1771C2×Q8—3164no—
1772C2×Q8—3162no—
1773C2×Q8—792no—
1774C2×Q8—794no—
1775C2×Q8—794no—
1776C2×Q8—794no—
1777C2×Q8—791no—
1778C2×Q8—792no—
1779C2×Q8—792no—
1780C2×Q8—791no—
1781C2×Q8—792no—
1782C2×Q8—794no—
1783C2×Q8—791no—
1784C2×Q8C23×D7912yes—
1785C2×Q8C23×D7914yes—
1786C2×Q8C23×D7912yes—
1787C2×Q8C23×D7911yescharacteristic
1788C2×Q8C23×D7912yes—
1789C2×Q8C23×D7911yescharacteristic
1790C2×D4—42no—
1791C2×D4—3164no—
1792C2×D4—3164no—
1793C2×D4—3164no—
1794C2×D4—3164no—
1795C2×D4—3162no—
1796C2×D4—3162no—
1797C2×D4—794no—
1798C2×D4—794no—
1799C2×D4—794no—
1800C2×D4—794no—
1801C2×D4—794no—
1802C2×D4—792no—
1803C2×D4—792no—
1804C2×D4—791no—
1805C2×D4—792no—
1806C2×D4—794no—
1807C2×D4—792no—
1808C2×D4—791no—
1809C2×D4—792no—
1810C2×D4—792no—
1811C2×D4—794no—
1812C2×D4—794no—
1813C2×D4—792no—
1814C2×D4—794no—
1815C2×D4—794no—
1816C2×D4—792no—
1817C2×D4—792no—
1818C2×D4—794no—
1819C2×D4—794no—
1820C2×D4—791no—
1821C2×D4—791no—
1822C2×D4—792no—
1823C2×D4—794no—
1824C2×D4—791no—
1825C2×D4—1588no—
1826C2×D4C23×D7911yescharacteristic
1827C2×D4C23×D7912yes—
1828C2×D4C23×D7911yescharacteristic
1829C22×C4—44no—
1830C22×C4—3164no—
1831C22×C4—3164no—
1832C22×C4—794no—
1833C22×C4—792no—
1834C22×C4—792no—
1835C22×C4—794no—
1836C22×C4—792no—
1837C22×C4—792no—
1838C22×C4—794no—
1839C22×C4—794no—
1840C22×C4—792no—
1841C22×C4—794no—
1842C22×C4—794no—
1843C22×C4—794no—
1844C22×C4—794no—
1845C22×C4—794no—
1846C22×C4—792no—
1847C22×C4—794no—
1848C22×C4—792no—
1849C22×C4—792no—
1850C22×C4—794no—
1851C22×C4—792no—
1852C22×C4—792no—
1853C22×C4—791no—
1854C22×C4—792no—
1855C22×C4—791no—
1856C22×C4—794no—
1857C22×C4—794no—
1858C22×C4C23×D7912yes—
1859C22×C4C23×D7911yescharacteristic
1860C22×C4C23×D7914yes—
1861C22×C4C23×D7912yes—
1862C22×C4C23×D7914yes—
1863C22×C4C23×D7914yes—
1864C22×C4C23×D7912yes—
1865C22×C4C23×D7912yes—
1866C4⋊C4—792no—
1867C4⋊C4—794no—
1868C4⋊C4—794no—
1869C4⋊C4—794no—
1870C4⋊C4—794no—
1871C4⋊C4—794no—
1872C4⋊C4—794no—
1873C4⋊C4—794no—
1874C4⋊C4—794no—
1875C4⋊C4—794no—
1876C4⋊C4—794no—
1877C4⋊C4—794no—
1878C4⋊C4—794no—
1879C4⋊C4—794no—
1880C4⋊C4—794no—
1881C4⋊C4—794no—
1882C4⋊C4—794no—
1883C4⋊C4—794no—
1884C4⋊C4—794no—
1885C4⋊C4—794no—
1886C4⋊C4—792no—
1887C4⋊C4—794no—
1888C4⋊C4—794no—
1889C4⋊C4—794no—
1890C4⋊C4—794no—
1891C4⋊C4—794no—
1892C4⋊C4—794no—
1893C4⋊C4—794no—
1894C4⋊C4—794no—
1895C4⋊C4—792no—
1896C4⋊C4—792no—
1897C4⋊C4—794no—
1898C4⋊C4—794no—
1899C4⋊C4—792no—
1900C4⋊C4—794no—
1901C4⋊C4C23×D7914yes—
1902C4⋊C4C23×D7914yes—
1903C4⋊C4C23×D7914yes—
1904C4⋊C4C23×D7914yes—
1905C4⋊C4C23×D7914yes—
1906C4⋊C4C23×D7914yes—
1907C4⋊C4C23×D7914yes—
1908C4⋊C4C23×D7912yes—
1909C4⋊C4C23×D7914yes—
1910C4⋊C4C23×D7914yes—
1911C4⋊C4C23×D7912yes—
1912C4⋊C4C23×D7914yes—
1913C4⋊C4C23×D7912yes—
1914C4⋊C4C23×D7912yes—
1915C4⋊C4C23×D7914yes—
1916C4⋊C4C23×D7914yes—
1917C4⋊C4C23×D7914yes—
1918C4⋊C4C23×D7914yes—
1919C22⋊C4—792no—
1920C22⋊C4—792no—
1921C22⋊C4—794no—
1922C22⋊C4—794no—
1923C22⋊C4—794no—
1924C22⋊C4—794no—
1925C22⋊C4—794no—
1926C22⋊C4—792no—
1927C22⋊C4—794no—
1928C22⋊C4—794no—
1929C22⋊C4—794no—
1930C22⋊C4—794no—
1931C22⋊C4—794no—
1932C22⋊C4—794no—
1933C22⋊C4—794no—
1934C22⋊C4—794no—
1935C22⋊C4—794no—
1936C22⋊C4—794no—
1937C22⋊C4—794no—
1938C22⋊C4—794no—
1939C22⋊C4—794no—
1940C22⋊C4—794no—
1941C22⋊C4—794no—
1942C22⋊C4—792no—
1943C22⋊C4—794no—
1944C22⋊C4—794no—
1945C22⋊C4—792no—
1946C22⋊C4—794no—
1947C22⋊C4—794no—
1948C22⋊C4—794no—
1949C22⋊C4—794no—
1950C22⋊C4—794no—
1951C22⋊C4—794no—
1952C22⋊C4—794no—
1953C22⋊C4—794no—
1954C22⋊C4—794no—
1955C22⋊C4—794no—
1956C22⋊C4—794no—
1957C22⋊C4C23×D7912yes—
1958C22⋊C4C23×D7912yes—
1959C22⋊C4C23×D7914yes—
1960C22⋊C4C23×D7914yes—
1961C22⋊C4C23×D7914yes—
1962C22⋊C4C23×D7914yes—
1963C22⋊C4C23×D7914yes—
1964C22⋊C4C23×D7914yes—
1965C22⋊C4C23×D7914yes—
1966C22⋊C4C23×D7914yes—
1967C22⋊C4C23×D7914yes—
1968C42—792no—
1969C42—791no—
1970C42—794no—
1971C42—792no—
1972C42—794no—
1973C42—792no—
1974C42—791no—
1975C42—792no—
1976C42—794no—
1977C42—794no—
1978C42—794no—
1979C42—794no—
1980C42—794no—
1981C42C23×D7911yescharacteristic
1982C42C23×D7912yes—
1983C42C23×D7911yescharacteristic
1984C42C23×D7914yes—
1985C42C23×D7912yes—
1986C42C23×D7912yes—
1987C23—24no—
1988C23—44no—
1989C23—3162no—
1990C23—3164no—
1991C23—3164no—
1992C23—3162no—
1993C23—3164no—
1994C23—791no—
1995C23—792no—
1996C23—791no—
1997C23—794no—
1998C23—792no—
1999C23—1584no—
2000C23C24×D7912yes—
2001C23C24×D7912yes—
2002C23C24×D7911yescharacteristic
2003Q8—42no—
2004Q8—44no—
2005Q8—42no—
2006Q8—42no—
2007Q8—41no—
2008Q8—41no—
2009Q8—3164no—
2010Q8—3161no—
2011Q8—3162no—
2012Q8—3162no—
2013Q8—3164no—
2014Q8—3161no—
2015Q8—3162no—
2016Q8—3164no—
2017Q8—1584no—
2018Q8—1588no—
2019Q8—1582no—
2020D4—42no—
2021D4—41no—
2022D4—41no—
2023D4—3161no—
2024D4—3164no—
2025D4—3164no—
2026D4—3161no—
2027D4—3162no—
2028D4—3162no—
2029D4—3164no—
2030D4—3164no—
2031D4—3164no—
2032D4—3164no—
2033D4—3162no—
2034D4—3162no—
2035D4—3162no—
2036D4—3164no—
2037D4—3164no—
2038D4—3164no—
2039D4—3164no—
2040D4—3164no—
2041D4—794no—
2042D4—1582no—
2043D4—1588no—
2044D4—1584no—
2045D4—1584no—
2046D4—1584no—
2047D4—1582no—
2048D4—1584no—
2049D4—1588no—
2050D4—1584no—
2051C2×C4—28no—
2052C2×C4—22no—
2053C2×C4—24no—
2054C2×C4—42no—
2055C2×C4—42no—
2056C2×C4—44no—
2057C2×C4—42no—
2058C2×C4—44no—
2059C2×C4—3164no—
2060C2×C4—3164no—
2061C2×C4—3162no—
2062C2×C4—3164no—
2063C2×C4—3164no—
2064C2×C4—3162no—
2065C2×C4—3162no—
2066C2×C4—3164no—
2067C2×C4—3162no—
2068C2×C4—3164no—
2069C2×C4—3164no—
2070C2×C4—3164no—
2071C2×C4—3164no—
2072C2×C4—3162no—
2073C2×C4—3164no—
2074C2×C4—3162no—
2075C2×C4—3162no—
2076C2×C4—3162no—
2077C2×C4—3164no—
2078C2×C4—791no—
2079C2×C4—792no—
2080C2×C4—794no—
2081C2×C4—794no—
2082C2×C4—792no—
2083C2×C4—792no—
2084C2×C4—794no—
2085C2×C4—791no—
2086C2×C4—792no—
2087C2×C4—1588no—
2088C2×C4—1582no—
2089C2×C4—1584no—
2090C2×C4—1588no—
2091C2×C4—1582no—
2092C2×C4—1584no—
2093C2×C4—1584no—
2094C2×C4C24×D7912yes—
2095C2×C4C24×D7914yes—
2096C2×C4C24×D7914yes—
2097C2×C4C24×D7912yes—
2098C2×C4C24×D7912yes—
2099C2×C4C24×D7911yescharacteristic
2100C2×C4C24×D7914yes—
2101C2×C4C24×D7912yes—
2102C2×C4C24×D7911yescharacteristic
2103C2×C4C24×D7914yes—
2104C22—22no—
2105C22—22no—
2106C22—22no—
2107C22—24no—
2108C22—24no—
2109C22—84no—
2110C22—792no—
2111C22—6324no—
2112C22—6324no—
2113C22—1582no—
2114C22—1584no—
2115C22—1582no—
2116C22—1581no—
2117C22—1584no—
2118C22—1584no—
2119C22—1584no—
2120C22—1582no—
2121C22—1584no—
2122C22—1582no—
2123C22—12642no—
2124C22H(5,𝔽2)×D7912yes—
2125C22C25×D7911yescharacteristic
2126C4—24no—
2127C4—24no—
2128C4—21no—
2129C4—22no—
2130C4—21no—
2131C4—22no—
2132C4—22no—
2133C4—24no—
2134C4—24no—
2135C4—22no—
2136C4—792no—
2137C4—1581no—
2138C4—1582no—
2139C4—1584no—
2140C4—1582no—
2141C4—1582no—
2142C4—1584no—
2143C4—1584no—
2144C4—1582no—
2145C2—22no—
2146C2—42no—
2147C2—42no—
2148C2—3162no—
2149C2—3164no—
2150C2—3161no—
2151C2—3162no—
2152C2—1582no—
2153C2C2×H(5,𝔽2)×D7911yescharacteristic
2154C2#2377821212yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC2×#563×C79C2
hypercenterC2×#563D79
hypocenterC79#63063
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×#563

Complements

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

NH ≅ G/Ntype
1. #23777968C2semidirect
2. #23777952C2semidirect
3. #23777943C2semidirect
4. #23777937C2semidirect
5. #23777934C2semidirect
6. #23777834C2semidirect
7. #23777825C2semidirect
8. #23777810C2semidirect
9. #23777758C2semidirect
10. #23777757C2semidirect
11. #23777744C2semidirect
12. #23777739C2semidirect
13. #23777690C2semidirect
14. #23777644C2semidirect
15. #23777611C2semidirect
16. #23777609C2semidirect
17. #23777576C2semidirect
18. #23777571C2semidirect
19. #23777541C2semidirect
20. #563×D79C2semidirect
21. #23777460C2semidirect
22. #23777372C2semidirect
23. #23777190C2semidirect
24. #23777183C2semidirect
25. #23777076C2semidirect
26. #23777038C2semidirect
27. C2×#563×C79C2semidirect
28. C2×#14579209C22semidirect
29. C2×#14579209C22semidirect
31. C22×#11929624C22semidirect
32. #19099317C22semidirect
33. #19099317C22semidirect
34. #19099316C22semidirect
35. #19099315C22semidirect
36. #19099315C22semidirect
37. #19099314C22semidirect
38. #19099314C22semidirect
39. #19099313C22semidirect
40. #19099312C22semidirect
41. #19099312C22semidirect
42. #19099312C22semidirect
43. #19099311C22semidirect
44. #19099311C22semidirect
45. #19099310C22semidirect
46. #19099309C22semidirect
47. #19099309C22semidirect
48. #19099307C22semidirect
49. #19099305C22semidirect
50. #19099304C22semidirect
51. #19099304C22semidirect
52. #19099303C22semidirect
53. #19099297C22semidirect
54. #19099293C22semidirect
55. #19099290C22semidirect
56. #19099280C22semidirect
57. #19099280C22semidirect
58. #19099279C22semidirect
59. #19099275C22semidirect
60. #19099274C22semidirect
61. #19099269C22semidirect
62. #19099269C22semidirect
63. #19099268C22semidirect
64. #19099267C22semidirect
65. #19099267C22semidirect
66. #19099266C22semidirect
67. #19099266C22semidirect
68. #19099264C22semidirect
69. #19099264C22semidirect
70. #19099264C22semidirect
71. #19099264C22semidirect
72. #19099261C22semidirect
73. #19099261C22semidirect
74. #19099258C22semidirect
75. #19099251C22semidirect
76. #19099249C22semidirect
77. #19099249C22semidirect
78. #19099248C22semidirect
79. #19099248C22semidirect
80. #19099248C22semidirect
81. #19099245C22semidirect
82. #19099245C22semidirect
83. #19099243C22semidirect
84. #19099241C22semidirect
85. #19099240C22semidirect
86. #19099240C22semidirect
87. #19099239C22semidirect
88. #19099239C22semidirect
89. #19099238C22semidirect
90. #19099238C22semidirect
91. #19099238C22semidirect
92. #19099238C22semidirect
93. #19099228C22semidirect
94. #19099228C22semidirect
95. #19099226C22semidirect
96. #19099226C22semidirect
97. #19099223C22semidirect
98. #19099223C22semidirect
99. #19099221C22semidirect
100. #19099216C22semidirect
101. #19099216C22semidirect
102. #19099215C22semidirect
103. #19099215C22semidirect
104. #19099214C22semidirect
105. #19099214C22semidirect
106. #19099214C22semidirect
107. #19099214C22semidirect
108. #19099214C22semidirect
109. #19099214C22semidirect
110. #19099214C22semidirect
111. #19099214C22semidirect
113. #19099211C22semidirect
114. #19099206C22semidirect
116. #19099205C22semidirect
117. #19099204C22semidirect
118. #19099204C22semidirect
121. #19099203C22semidirect
122. #19099203C22semidirect
123. #19099203C22semidirect
124. #19099203C22semidirect
125. #19099193C22semidirect
126. #19099192C22semidirect
127. #19099190C22semidirect
128. #19099190C22semidirect
129. #19099188C22semidirect
130. #19099187C22semidirect
131. #19099187C22semidirect
132. #19099183C22semidirect
133. #19099183C22semidirect
134. #19099181C22semidirect
135. #19099179C22semidirect
136. #19099179C22semidirect
137. #19099179C22semidirect
138. #19099177C22semidirect
139. #19099172C22semidirect
140. #19099170C22semidirect
141. #19099169C22semidirect
142. #19099165C22semidirect
143. #19099162C22semidirect
144. #19099161C22semidirect
145. #19099161C22semidirect
146. #19099161C22semidirect
147. #19099160C22semidirect
148. #19099160C22semidirect
149. #19099159C22semidirect
150. #19099159C22semidirect
151. #19099156C22semidirect
152. #19099154C22semidirect
153. #19099154C22semidirect
154. #19099154C22semidirect
155. #19099153C22semidirect
156. #19099152C22semidirect
157. #19099152C22semidirect
158. #19099152C22semidirect
159. #19099152C22semidirect
160. #19099152C22semidirect
161. #19099151C22semidirect
162. #19099149C22semidirect
163. #19099147C22semidirect
164. #19099144C22semidirect
165. #19099143C22semidirect
166. #19099143C22semidirect
167. #19099138C22semidirect
168. #19099138C22semidirect
169. #19099138C22semidirect
170. #19099138C22semidirect
171. #19099137C22semidirect
172. #19099137C22semidirect
173. #19099137C22semidirect
174. #19099137C22semidirect
175. #19099136C22semidirect
176. #19099136C22semidirect
178. #19099135C22semidirect
180. #19099133C22semidirect
182. #19099131C22semidirect
184. #19099125C22semidirect
186. #19099124C22semidirect
188. #19099119C22semidirect
189. #19099114C22semidirect
190. #19099114C22semidirect
191. #19099113C22semidirect
192. #19099113C22semidirect
194. #19099112C22semidirect
195. C4⋊Q8×D79C22semidirect
196. C4⋊Q8×D79C22semidirect
197. #19099098C22semidirect
198. #19099098C22semidirect
199. #19099097C22semidirect
200. #19099097C22semidirect
201. #19099096C22semidirect
202. #19099096C22semidirect
203. #19099096C22semidirect
204. #126×D79C22semidirect
205. #125×D79C22semidirect
207. #124×D79C22semidirect
208. #19099076C22semidirect
209. #19099076C22semidirect
210. #19099074C22semidirect
212. #19099071C22semidirect
213. C2×#14579144C22semidirect
215. #123×D79C22semidirect
216. C22⋊Q8×D79C22semidirect
217. C22⋊Q8×D79C22semidirect
218. #19099044C22semidirect
219. #19099036C22semidirect
220. C4×#11929624C22semidirect
221. C4×#11929624C22semidirect
222. #563×C79C22semidirect
223. #563×C79C22semidirect
224. #563×C79C22semidirect
225. #563×C79C22semidirect
226. #563×C79C22semidirect
227. #563×C79C22semidirect
228. #563×C79C22semidirect
229. C2×C4⋊Q8×C79C22semidirect
230. C2×#126×C79C22semidirect
231. C2×#125×C79C22semidirect
234. C2×C22⋊Q8×C79C22semidirect
1098. C2×#563D79semidirect
1105. C79#63063semidirect
1121. #563C2×D79semidirect
1122. #563C2×D79semidirect
1123. #563C2×D79semidirect
1124. #563C2×D79semidirect
1125. #563C2×D79semidirect
1126. #563C2×D79semidirect
1127. #563C2×D79semidirect
1282. C2×C4⋊Q8C2×D79semidirect
1291. C2×#126C2×D79semidirect
1293. C2×#125C2×D79semidirect
1308. C2×C22⋊Q8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779682
#237779522
#237779432
#237779372
#237779342
#237778342
#237778252
#237778102
#237777582
#237777572
#237777442
#237777392
#237776902
#237776442
#237776112
#237776092
#237775762
#237775712
#237775412
#563×D792
#237774602
#237773722
#237771902
#237771832
#237770762
#237770382
C2×#563×C792
#6306379