Finite Group Databasebeta

← #35197228

Subgroups — #35197228

Order 20224.

6428 conjugacy classes of subgroups.

The subgroup lattice has 2260 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778010C211yesmaximal, characteristic, complemented
2#23778009C212yesmaximal, complemented
3#23778006C211yesmaximal, characteristic, complemented
4#23778003C211yesmaximal, characteristic, complemented
5#23778000C212yesmaximal, complemented
6#23777894C212yesmaximal, complemented
7#23777885C212yesmaximal, complemented
8#23777881C214yesmaximal, complemented
9#23777877C212yesmaximal, complemented
10#23777810C212yesmaximal, complemented
11#23777647C212yesmaximal, complemented
12#23777642C212yesmaximal, complemented
13#23777492C214yesmaximal, complemented
14#23777489C214yesmaximal, complemented
15#23777283C212yesmaximal, complemented
16#23777282C212yesmaximal, complemented
17#23777278C212yesmaximal, complemented
18#23777278C212yesmaximal, complemented
19#23777260C212yesmaximal, complemented
20#23777259C212yesmaximal, complemented
21#23777215C212yesmaximal, complemented
22#23777214C212yesmaximal, complemented
23#23777208C212yesmaximal, complemented
24#23777207C212yesmaximal, complemented
25#23777148C212yesmaximal, complemented
26#23777143C214yesmaximal, complemented
27#23777141C212yesmaximal, complemented
28#23776694C211yesmaximal, characteristic
29C2×#19099119C211yesmaximal, characteristic, complemented
30#533×D79C211yesmaximal, characteristic, complemented
31C79×#3563C211yesmaximal, characteristic, complemented
32C79⋊#564C2212yescomplemented
33C79⋊#564C2212yescomplemented
34C79⋊#564C2212yescomplemented
35#19099317C2214yes—
36#19099317C2212yescomplemented
37#19099317C2212yescomplemented
38#19099315C2214yes—
39#19099314C2214yes—
40#19099313C2212yescomplemented
41#19099312C2214yes—
42#19099297C2214yescomplemented
43Q8×Dic158C2212yescomplemented
44#19099293C2214yescomplemented
45#19099293C2214yescomplemented
46#19099293C2212yescomplemented
47#19099291C2212yescomplemented
48#19099291C2214yescomplemented
49#19099290C2214yescomplemented
50#19099290C2214yescomplemented
51#19099290C2214yescomplemented
52#19099290C2214yescomplemented
53#19099290C2212yescomplemented
54#19099290C2214yescomplemented
55#19099290C2214yescomplemented
56#19099290C2214yescomplemented
57#19099290C2214yescomplemented
58#19099290C2214yescomplemented
59#19099290C2212yescomplemented
60#19099290C2214yescomplemented
61#19099289C2212yescomplemented
62#19099289C2212yescomplemented
63#19099288C2214yescomplemented
64#19099288C2214yescomplemented
65#19099287C2212yes—
66#19099286C2212yes—
67#19099285C2214yes—
68#19099284C2212yes—
69#19099284C2212yescomplemented
70#19099284C2214yescomplemented
71#19099281C2212yes—
72#19099281C2214yescomplemented
73#19099281C2212yescomplemented
74#19099280C2214yes—
75#19099280C2214yescomplemented
76#19099280C2214yescomplemented
77#19099280C2214yescomplemented
78#19099280C2214yescomplemented
79#19099280C2214yescomplemented
80#19099271C2212yes—
81#19099271C2212yescomplemented
82#19099270C2212yes—
83#19099269C2214yes—
84#19099268C2212yes—
85#19099268C2212yescomplemented
86#19099267C2214yes—
87#19099267C2214yescomplemented
88#19099255C2212yes—
89#19099255C2212yes—
90#19099254C2212yes—
91#19099254C2212yescomplemented
92#19099253C2212yes—
93#19099253C2212yescomplemented
94#19099251C2212yes—
95#19099251C2214yes—
96#19099251C2212yescomplemented
97#19099250C2214yes—
98#19099250C2214yes—
99#19099250C2214yescomplemented
100#19099249C2214yes—
101#19099249C2214yes—
102#19099249C2214yes—
103#19099248C2212yes—
104#19099248C2212yes—
105#19099248C2214yes—
106#19099247C2214yes—
107#19099246C2214yes—
108#19099246C2214yes—
109#19099246C2214yes—
110#19099245C2214yes—
111#19099245C2214yes—
112#19099245C2214yes—
113#19099245C2214yes—
114#19099245C2214yescomplemented
115#19099242C2214yes—
116#19099240C2214yes—
117#19099237C2214yes—
118#19099236C2214yes—
119D4×Dic158C2214yes—
120#19099228C2214yes—
121#19099226C2214yes—
122#19099226C2214yes—
123#19099226C2214yescomplemented
124#19099226C2214yescomplemented
125#19099194C2212yes—
126#19099193C2214yes—
127#19099193C2212yes—
128#19099193C2212yescomplemented
129#19099193C2214yescomplemented
130#19099192C2212yes—
131#19099192C2212yes—
132#19099192C2214yes—
133#19099192C2214yescomplemented
134#19099191C2212yescomplemented
135#19099190C2214yes—
136#19099190C2212yes—
137#19099190C2212yescomplemented
138#19099183C2214yes—
139#19099183C2214yes—
140#19099179C2214yes—
141#19099179C2214yes—
142#19099176C2212yescomplemented
143#19099176C2214yescomplemented
144#19099175C2212yescomplemented
145#19099174C2212yescomplemented
146#19099173C2214yescomplemented
147#19099172C2214yes—
148#19099172C2214yes—
149#19099172C2214yes—
150#19099172C2214yes—
151#19099172C2214yes—
152#19099172C2214yes—
153#19099172C2214yescomplemented
154#19099172C2214yescomplemented
155#19099172C2214yescomplemented
156#19099172C2214yescomplemented
157#19099171C2214yescomplemented
158#19099170C2214yescomplemented
159#19099170C2214yescomplemented
160#19099170C2214yescomplemented
161#19099170C2214yescomplemented
162#19099162C2212yes—
163#19099161C2214yes—
164#19099160C2212yes—
165#19099158C2212yes—
166#19099156C2214yes—
167#19099138C2214yes—
168#19099136C2212yes—
169#19099136C2212yes—
170#19099135C2214yes—
171#19099135C2214yes—
172#19099120C2211yescharacteristic
173#19099119C2212yes—
174#19099119C2212yes—
175#19099119C2212yes—
176#19099119C2212yes—
177#19099119C2212yes—
178#19099119C2212yes—
179#19099119C2211yescharacteristic
180#19099119C2214yes—
181#19099119C2212yes—
182#19099119C2212yes—
183#19099119C2212yes—
184#19099119C2212yescomplemented
185#19099118C2211yescharacteristic
186#19099118C2211yescharacteristic
187#19099117C2212yes—
188#19099117C2212yes—
189#19099117C2214yes—
190#19099117C2211yescharacteristic
191#19099117C2212yescomplemented
192#19099117C2212yescomplemented
193#19099116C2214yes—
194#19099116C2212yes—
195#19099116C2212yescomplemented
196#19099115C2214yes—
197#19099115C2212yes—
198#19099115C2212yes—
199#19099115C2211yescharacteristic
200#19099115C2212yescomplemented
201#19099115C2212yescomplemented
202#19099112C2211yescharacteristic
203#19099110C2211yescharacteristic
204#19099108C2211yescharacteristic
205C2×#14579160C2211yescharacteristic
206C2×#14579160C2211yescharacteristic
207C2×#14579160C2212yescomplemented
208C4⋊Q8×D79C2211yescharacteristic
209C4⋊Q8×D79C2211yescharacteristic
210C4⋊Q8×D79C2212yescomplemented
211#19099098C2211yescharacteristic
212#19099097C2211yescharacteristic
213#19099096C2212yes—
214#19099096C2214yes—
215#19099096C2212yes—
216#19099093C2214yes—
217#19099092C2211yescharacteristic
218#19099091C2212yes—
219#19099091C2214yes—
220#19099090C2214yes—
221#19099090C2212yes—
222C2×#14579153C2211yescharacteristic
223#125×D79C2212yes—
224#19099076C2211yescharacteristic
225#19099073C2211yescharacteristic
226#19099072C2212yes—
227#19099071C2212yes—
228C2×#14579139C2212yes—
229C2×#14579139C2212yes—
230C22⋊Q8×D79C2212yes—
231C22⋊Q8×D79C2212yes—
232#19099044C2212yes—
233#19099043C2212yes—
234#19099042C2214yes—
235#19099040C2214yes—
236#19099040C2214yescomplemented
237#19099039C2212yes—
238#19099039C2212yes—
239#19099039C2214yescomplemented
240C4×#11929625C2211yescharacteristic
241#19099031C2212yes—
242C4×#11929623C2212yes—
243C4×#11929623C2211yescharacteristic
244C2×#14579126C2212yes—
245C2×#14579126C2212yes—
246C4×Q8×D79C2212yes—
247C4×Q8×D79C2212yes—
248C2×#14579119C2211yescharacteristic
249C2×#14579119C2211yescharacteristic
250#117×D79C2212yes—
251C2×C42×D79C2211yescharacteristic
252#564×C79C2212yescomplemented
253#563×C79C2212yescomplemented
254#557×C79C2212yescomplemented
255#554×C79C2212yes—
256#552×C79C2212yes—
257#552×C79C2214yes—
258#552×C79C2212yescomplemented
259#544×C79C2212yes—
260#544×C79C2212yescomplemented
261#541×C79C2212yescomplemented
262#541×C79C2214yescomplemented
263#539×C79C2212yes—
264#533×C79C2211yescharacteristic
265#529×C79C2211yescharacteristic
266C2×#125×C79C2211yescharacteristic
267C2×#11929625C2311yescharacteristic
268C2×#11929624C2312yes—
269C2×#11929623C2312yes—
270C2×#11929623C2311yescharacteristic
271C22×Dic158C2312yes—
272C22×Dic158C2312yes—
273C22×Dic158C2314yes—
274C2×Q8×D79C2312yes—
275C2×Q8×D79C2314yes—
276C2×Q8×D79C2312yes—
277C22×C4×D79C2311yescharacteristic
278C22×C4×D79C2311yescharacteristic
279C22×C4×D79C2311yescharacteristic
280#14579161C2311yescharacteristic
281#14579161C2314yes—
282#14579161C2311yescharacteristic
283#14579161C2312yes—
284#14579160C2314yes—
285#14579160C2314yes—
286#14579160C2312yes—
287#14579160C2314yes—
288#14579160C2314yes—
289#14579160C2314yes—
290#14579160C2314yes—
291#14579160C2314yes—
292#14579160C2314yes—
293#14579160C2314yes—
294#14579160C2314yes—
295#14579160C2314yes—
296#14579160C2314yes—
297#14579160C2312yes—
298#14579160C2312yes—
299#14579160C2314yes—
300#14579160C2314yes—
301#14579160C2312yes—
302#14579160C2314yes—
303#14579160C2312yes—
304#14579160C2312yes—
305#14579160C2312yes—
306#14579160C2312yes—
307#14579160C2312yes—
308#14579160C2312yes—
309#14579160C2312yes—
310#14579160C2311yescharacteristic
311#14579160C2311yescharacteristic
312#14579160C2312yes—
313#14579160C2312yes—
314#14579160C2312yes—
315#14579159C2314yes—
316#14579159C2314yes—
317#14579159C2314yes—
318#14579159C2314yes—
319#14579159C2314yes—
320#14579159C2314yes—
321#14579159C2312yes—
322#14579159C2311yescharacteristic
323#14579159C2312yes—
324#14579157C2311yescharacteristic
325#14579156C2314yes—
326#14579156C2314yes—
327#14579156C2314yes—
328#14579156C2314yes—
329#14579156C2314yes—
330#14579156C2314yes—
331#14579156C2314yes—
332#14579156C2314yes—
333#14579156C2314yes—
334#14579156C2314yes—
335#14579156C2312yes—
336#14579156C2314yes—
337#14579156C2314yes—
338#14579156C2314yes—
339#14579156C2314yes—
340#14579156C2314yes—
341#14579156C2314yes—
342#14579155C2314yes—
343#14579155C2312yes—
344#14579155C2314yes—
345#14579155C2314yes—
346#14579155C2314yes—
347#14579154C2314yes—
348#14579154C2314yes—
349#14579154C2314yes—
350#14579154C2312yes—
351#14579154C2314yes—
352#14579154C2314yes—
353#14579154C2314yes—
354#14579154C2314yes—
355#14579154C2314yes—
356#14579153C2312yes—
357#14579153C2314yes—
358#14579153C2314yes—
359#14579153C2312yes—
360#14579153C2312yes—
361#14579153C2312yes—
362#14579153C2312yes—
363#14579153C2312yes—
364#14579153C2311yescharacteristic
365#14579152C2314yes—
366#14579152C2314yes—
367#14579152C2312yes—
368#14579152C2314yes—
369#14579152C2314yes—
370#14579152C2314yes—
371#14579152C2314yes—
372#14579152C2314yes—
373#14579152C2312yes—
374#14579152C2314yes—
375#14579152C2314yes—
376#14579152C2314yes—
377#14579152C2312yes—
378#14579152C2312yes—
379#14579151C2314yes—
380#14579151C2314yes—
381#14579151C2314yes—
382#14579151C2314yes—
383#14579151C2314yes—
384#14579151C2314yes—
385#14579151C2314yes—
386#14579151C2314yes—
387#14579151C2314yes—
388#14579151C2314yes—
389#14579151C2314yes—
390#14579151C2314yes—
391#14579151C2314yes—
392#14579151C2314yes—
393#14579151C2314yes—
394#14579151C2314yes—
395#14579151C2314yes—
396#14579151C2314yes—
397#14579151C2314yes—
398#14579151C2314yes—
399#14579151C2314yes—
400#14579151C2314yes—
401#14579151C2314yes—
402#14579151C2314yes—
403#14579151C2314yes—
404#14579151C2314yes—
405#14579151C2314yes—
406#14579151C2314yes—
407#14579151C2314yes—
408#14579151C2314yes—
409#14579151C2312yes—
410#14579151C2312yes—
411#14579150C2314yes—
412#14579149C2314yes—
413#14579149C2311yescharacteristic
414#14579147C2314yes—
415#14579147C2314yes—
416#14579147C2314yes—
417#14579147C2314yes—
418#14579147C2314yes—
419#14579147C2314yes—
420#14579147C2312yes—
421#14579147C2312yes—
422#14579146C2314yes—
423#14579146C2314yes—
424#14579146C2314yes—
425#14579146C2314yes—
426#14579146C2314yes—
427#14579146C2314yes—
428#14579146C2312yes—
429#14579146C2312yes—
430#14579145C2314yes—
431#14579145C2314yes—
432#14579144C2314yes—
433#14579144C2314yes—
434#14579144C2312yes—
435#14579143C2314yes—
436#14579143C2314yes—
437#14579143C2312yes—
438#14579143C2312yes—
439#14579142C2314yes—
440#14579142C2314yes—
441#14579141C2312yes—
442#14579141C2312yes—
443#14579141C2314yes—
444#14579141C2314yes—
445#14579141C2314yes—
446#14579141C2311yescharacteristic
447#14579141C2314yes—
448#14579141C2312yes—
449#14579141C2312yes—
450#14579140C2312yes—
451#14579140C2312yes—
452#14579140C2314yes—
453#14579140C2312yes—
454#14579140C2311yescharacteristic
455#14579140C2314yes—
456#14579140C2312yes—
457#14579139C2314yes—
458#14579139C2314yes—
459#14579139C2314yes—
460#14579139C2314yes—
461#14579139C2314yes—
462#14579139C2314yes—
463#14579139C2314yes—
464#14579139C2312yes—
465#14579139C2312yes—
466#14579139C2314yes—
467#14579139C2314yes—
468#14579139C2314yes—
469#14579139C2314yes—
470#14579139C2314yes—
471#14579139C2314yes—
472#14579139C2314yes—
473#14579139C2314yes—
474#14579139C2314yes—
475#14579139C2314yes—
476#14579139C2314yes—
477#14579139C2314yes—
478#14579139C2314yes—
479#14579139C2312yes—
480#14579138C2314yes—
481#14579138C2314yes—
482#14579138C2314yes—
483#14579138C2314yes—
484#14579138C2314yes—
485#14579138C2314yes—
486#14579138C2314yes—
487#14579138C2314yes—
488#14579138C2314yes—
489#14579138C2314yes—
490#14579138C2314yes—
491#14579138C2314yes—
492#14579138C2312yes—
493#14579137C2312yes—
494#14579137C2312yes—
495#14579137C2314yes—
496#14579137C2311yescharacteristic
497#14579137C2314yes—
498#14579137C2312yes—
499#14579137C2312yes—
500#14579136C2311yescharacteristic
501#14579135C2311yescharacteristic
502#14579134C2312yes—
503#14579134C2312yes—
504#14579134C2312yes—
505#14579133C2312yes—
506#14579132C2311yescharacteristic
507#14579131C2312yes—
508#14579129C2312yes—
509Q8×Dic79C2314yes—
510Q8×Dic79C2312yes—
511Q8×Dic79C2312yes—
512Q8×Dic79C2312yes—
513Q8×Dic79C2312yes—
514Q8×Dic79C2311yescharacteristic
515C4×Dic158C2312yes—
516C4×Dic158C2314yes—
517C4×Dic158C2314yes—
518C4×Dic158C2314yes—
519C4×Dic158C2314yes—
520C4×Dic158C2314yes—
521C4×Dic158C2314yes—
522C4×Dic158C2314yes—
523C4×Dic158C2314yes—
524C4×Dic158C2314yes—
525C4×Dic158C2314yes—
526C4×Dic158C2314yes—
527C4×Dic158C2314yes—
528C4×Dic158C2312yes—
529C4×Dic158C2312yes—
530C4×Dic158C2314yes—
531C4×Dic158C2314yes—
532C4×Dic158C2312yes—
533C4×Dic158C2314yes—
534C4×Dic158C2311yescharacteristic
535C4×Dic158C2312yes—
536#14579126C2314yes—
537#14579126C2314yes—
538#14579126C2314yes—
539#14579126C2314yes—
540#14579126C2314yes—
541#14579126C2314yes—
542#14579126C2314yes—
543#14579126C2314yes—
544#14579126C2314yes—
545#14579126C2314yes—
546#14579126C2314yes—
547#14579126C2314yes—
548#14579126C2314yes—
549#14579126C2312yes—
550#14579126C2312yes—
551#14579126C2314yes—
552#14579126C2314yes—
553#14579126C2314yes—
554#14579126C2314yes—
555#14579126C2314yes—
556#14579126C2314yes—
557#14579126C2312yes—
558#14579126C2312yes—
559#14579126C2314yes—
560#14579126C2314yes—
561#14579126C2314yes—
562#14579126C2314yes—
563#14579126C2312yes—
564#14579126C2311yescharacteristic
565#14579126C2312yes—
566#14579126C2312yes—
567C4×D316C2314yes—
568C4×D316C2312yes—
569C4×D316C2311yescharacteristic
570D4×Dic79C2314yes—
571D4×Dic79C2312yes—
572D4×Dic79C2311yescharacteristic
573#14579123C2314yes—
574#14579123C2312yes—
575#14579123C2312yes—
576#14579123C2312yes—
577#14579123C2311yescharacteristic
578C4×C22⋊D79C2314yes—
579C4×C22⋊D79C2314yes—
580C4×C22⋊D79C2314yes—
581C4×C22⋊D79C2314yes—
582C4×C22⋊D79C2312yes—
583C4×C22⋊D79C2312yes—
584C4×C22⋊D79C2312yes—
585(C22⋊D79)⋊C4C2314yes—
586(C22⋊D79)⋊C4C2314yes—
587(C22⋊D79)⋊C4C2314yes—
588(C22⋊D79)⋊C4C2314yes—
589(C22⋊D79)⋊C4C2312yes—
590(C22⋊D79)⋊C4C2312yes—
591(C22⋊D79)⋊C4C2312yes—
592(C22⋊D79)⋊C4C2312yes—
593(C22⋊D79)⋊C4C2312yes—
594(C22⋊D79)⋊C4C2312yes—
595(C22⋊D79)⋊C4C2312yes—
596#14579120C2314yes—
597#14579120C2312yes—
598#14579120C2314yes—
599#14579120C2312yes—
600#14579119C2312yes—
601#14579119C2312yes—
602#14579119C2311yescharacteristic
603#14579119C2311yescharacteristic
604#14579119C2312yes—
605#14579119C2312yes—
606#14579119C2312yes—
607#14579119C2312yes—
608#14579119C2312yes—
609#14579119C2312yes—
610#14579119C2314yes—
611#14579119C2314yes—
612#14579119C2314yes—
613#14579119C2312yes—
614#14579119C2314yes—
615#14579119C2312yes—
616#14579119C2312yes—
617#14579119C2312yes—
618#14579119C2312yes—
619#14579119C2312yes—
620#14579118C2314yes—
621#14579118C2314yes—
622#14579118C2312yes—
623#14579118C2314yes—
624#14579118C2312yes—
625#14579118C2314yes—
626#14579118C2314yes—
627#14579118C2314yes—
628#14579118C2314yes—
629#14579117C2312yes—
630#14579117C2312yes—
631#14579117C2314yes—
632#14579117C2314yes—
633#14579117C2312yes—
634#14579117C2314yes—
635#14579117C2314yes—
636#14579117C2314yes—
637#14579117C2314yes—
638#14579117C2314yes—
639C2×C4⋊Dic79C2312yes—
640C2×C4⋊Dic79C2311yescharacteristic
641C2×C4⋊Dic79C2311yescharacteristic
642C2×Dic79⋊C4C2312yes—
643C2×Dic79⋊C4C2312yes—
644C2×Dic79⋊C4C2314yes—
645C2×Dic79⋊C4C2312yes—
646C2×Dic79⋊C4C2312yes—
647C4⋊C4×D79C2314yes—
648C4⋊C4×D79C2312yes—
649C4⋊C4×D79C2312yes—
650C4⋊C4×D79C2314yes—
651C4⋊C4×D79C2312yes—
652C4⋊C4×D79C2312yes—
653C4⋊C4×D79C2312yes—
654C4⋊C4×D79C2314yes—
655C4⋊C4×D79C2312yes—
656C2×(C2×D79)⋊C4C2312yes—
657C2×(C2×D79)⋊C4C2312yes—
658C22⋊C4×D79C2314yes—
659C2×C4×Dic79C2311yescharacteristic
660C2×C4×Dic79C2311yescharacteristic
661C2×C4×Dic79C2311yescharacteristic
662C2×C4×Dic79C2312yes—
663C2×C4×Dic79C2312yes—
664C2×C4×Dic79C2312yes—
665C42×D79C2311yescharacteristic
666C42×D79C2311yescharacteristic
667C42×D79C2311yescharacteristic
668C42×D79C2311yescharacteristic
669C42×D79C2311yescharacteristic
670C42×D79C2311yescharacteristic
671C42×D79C2311yescharacteristic
672C42×D79C2311yescharacteristic
673C42×D79C2314yes—
674C42×D79C2312yes—
675C4⋊Q8×C79C2314yes—
676C4⋊Q8×C79C2311yescharacteristic
677C4⋊Q8×C79C2312yes—
678C4⋊Q8×C79C2311yescharacteristic
679C4⋊Q8×C79C2314yes—
680#126×C79C2312yes—
681#126×C79C2314yes—
682#126×C79C2314yes—
683#126×C79C2314yes—
684#126×C79C2314yes—
685#125×C79C2314yes—
686#125×C79C2314yes—
687#125×C79C2314yes—
688#125×C79C2314yes—
689#125×C79C2314yes—
690#125×C79C2314yes—
691#125×C79C2312yes—
692#125×C79C2314yes—
693#125×C79C2312yes—
694#125×C79C2312yes—
695#125×C79C2314yes—
696#125×C79C2312yes—
697#125×C79C2312yes—
698#125×C79C2311yescharacteristic
699#125×C79C2312yes—
700#124×C79C2311yescharacteristic
701#123×C79C2314yes—
702#123×C79C2314yes—
703#123×C79C2312yes—
704C22⋊Q8×C79C2312yes—
705C22⋊Q8×C79C2312yes—
706C22⋊Q8×C79C2312yes—
707C22⋊Q8×C79C2314yes—
708C22⋊Q8×C79C2314yes—
709C22⋊Q8×C79C2311yescharacteristic
710C22⋊Q8×C79C2314yes—
711C22⋊Q8×C79C2314yes—
712C22⋊Q8×C79C2312yes—
713#121×C79C2311yescharacteristic
714C4×Q8×C79C2312yes—
715C4×Q8×C79C2311yescharacteristic
716C4×Q8×C79C2312yes—
717C4×Q8×C79C2312yes—
718C4×Q8×C79C2314yes—
719C4×Q8×C79C2312yes—
720C4×D4×C79C2314yes—
721C4×D4×C79C2312yes—
722C4×D4×C79C2311yescharacteristic
723#117×C79C2312yes—
724#117×C79C2314yes—
725#117×C79C2312yes—
726#117×C79C2314yes—
727#117×C79C2312yes—
728C2×C4⋊C4×C79C2312yes—
729C2×C4⋊C4×C79C2311yescharacteristic
730C2×C4⋊C4×C79C2312yes—
731C2×C4⋊C4×C79C2311yescharacteristic
732C2×C4⋊C4×C79C2312yes—
733C2×C42×C79C2311yescharacteristic
734C23×D79C2411yescharacteristic
735#11929625—42no—
736#11929624—28no—
737#11929623—28no—
738#11929623—42no—
739C2×Dic158—28no—
740C2×Dic158—48no—
741C2×Dic158—44no—
742C2×Dic158C2414yes—
743C2×Dic158C2414yes—
744C2×Dic158C2414yes—
745C2×Dic158C2412yes—
746C2×Dic158C2414yes—
747C2×Dic158C2414yes—
748C2×Dic158C2412yes—
749C2×Dic158C2412yes—
750C2×Dic158C2414yes—
751C2×Dic158C2412yes—
752C2×Dic158C2414yes—
753C2×Dic158C2414yes—
754C2×Dic158C2414yes—
755C2×Dic158C2411yescharacteristic
756Q8×D79—28no—
757Q8×D79—44no—
758Q8×D79—48no—
759C2×D316C2412yes—
760C2×D316C2412yes—
761C2×D316C2411yescharacteristic
762C2×C22⋊D79C2412yes—
763C2×C22⋊D79C2412yes—
764C2×C22⋊D79C2412yes—
765C2×C22⋊D79C2412yes—
766C2×C22⋊D79C2412yes—
767C22×Dic79C2412yes—
768C22×Dic79C2411yescharacteristic
769C22×Dic79C2412yes—
770C22×Dic79C2412yes—
771C22×Dic79C2411yescharacteristic
772C22×Dic79C2412yes—
773C22×Dic79C2414yes—
774C22×Dic79C2411yescharacteristic
775C2×C4×D79—24no—
776C2×C4×D79—24no—
777C2×C4×D79—42no—
778C2×C4×D79C2412yes—
779C2×C4×D79C2411yescharacteristic
780C2×C4×D79C2414yes—
781C2×C4×D79C2411yescharacteristic
782C2×C4×D79C2412yes—
783C2×C4×D79C2412yes—
784C2×C4×D79C2411yescharacteristic
785C2×C4×D79C2411yescharacteristic
786C2×C4×D79C2411yescharacteristic
787C2×C4×D79C2411yescharacteristic
788C2×C4×D79C2411yescharacteristic
789C2×C4×D79C2411yescharacteristic
790C2×C4×D79C2411yescharacteristic
791C2×C4×D79C2414yes—
792C2×C4×D79C2414yes—
793C2×C4×D79C2414yes—
794C2×C4×D79C2411yescharacteristic
795C2×C4×D79C2411yescharacteristic
796C2×C4×D79C2411yescharacteristic
797C4⋊Dic79C2412yes—
798C4⋊Dic79C2412yes—
799C4⋊Dic79C2414yes—
800C4⋊Dic79C2412yes—
801C4⋊Dic79C2412yes—
802C4⋊Dic79C2414yes—
803C4⋊Dic79C2412yes—
804C4⋊Dic79C2414yes—
805C4⋊Dic79C2412yes—
806C4⋊Dic79C2412yes—
807C4⋊Dic79C2412yes—
808C4⋊Dic79C2414yes—
809C4⋊Dic79C2411yescharacteristic
810C4⋊Dic79C2412yes—
811C4⋊Dic79C2412yes—
812C4⋊Dic79C2411yescharacteristic
813C4⋊Dic79C2414yes—
814C4⋊Dic79C2414yes—
815C4⋊Dic79C2414yes—
816C4⋊Dic79C2414yes—
817C4⋊Dic79C2414yes—
818C4⋊Dic79C2414yes—
819Dic79⋊C4C2414yes—
820Dic79⋊C4C2414yes—
821Dic79⋊C4C2414yes—
822Dic79⋊C4C2414yes—
823Dic79⋊C4C2414yes—
824Dic79⋊C4C2414yes—
825Dic79⋊C4C2414yes—
826Dic79⋊C4C2414yes—
827Dic79⋊C4C2414yes—
828Dic79⋊C4C2414yes—
829Dic79⋊C4C2414yes—
830Dic79⋊C4C2414yes—
831Dic79⋊C4C2414yes—
832Dic79⋊C4C2414yes—
833Dic79⋊C4C2414yes—
834Dic79⋊C4C2414yes—
835Dic79⋊C4C2414yes—
836Dic79⋊C4C2414yes—
837Dic79⋊C4C2414yes—
838Dic79⋊C4C2414yes—
839Dic79⋊C4C2412yes—
840Dic79⋊C4C2412yes—
841Dic79⋊C4C2412yes—
842Dic79⋊C4C2412yes—
843Dic79⋊C4C2412yes—
844Dic79⋊C4C2412yes—
845Dic79⋊C4C2414yes—
846Dic79⋊C4C2414yes—
847Dic79⋊C4C2414yes—
848Dic79⋊C4C2414yes—
849Dic79⋊C4C2414yes—
850Dic79⋊C4C2414yes—
851Dic79⋊C4C2412yes—
852Dic79⋊C4C2412yes—
853Dic79⋊C4C2412yes—
854Dic79⋊C4C2412yes—
855Dic79⋊C4C2414yes—
856Dic79⋊C4C2414yes—
857Dic79⋊C4C2414yes—
858Dic79⋊C4C2414yes—
859Dic79⋊C4C2414yes—
860Dic79⋊C4C2414yes—
861C22⋊Dic79C2414yes—
862C22⋊Dic79C2412yes—
863C22⋊Dic79C2412yes—
864C22⋊Dic79C2414yes—
865C22⋊Dic79C2412yes—
866C22⋊Dic79C2414yes—
867C22⋊Dic79C2414yes—
868(C2×D79)⋊C4C2414yes—
869(C2×D79)⋊C4C2414yes—
870(C2×D79)⋊C4C2414yes—
871(C2×D79)⋊C4C2414yes—
872(C2×D79)⋊C4C2414yes—
873(C2×D79)⋊C4C2414yes—
874(C2×D79)⋊C4C2412yes—
875(C2×D79)⋊C4C2412yes—
876(C2×D79)⋊C4C2414yes—
877(C2×D79)⋊C4C2412yes—
878(C2×D79)⋊C4C2412yes—
879(C2×D79)⋊C4C2414yes—
880(C2×D79)⋊C4C2414yes—
881(C2×D79)⋊C4C2412yes—
882(C2×D79)⋊C4C2412yes—
883(C2×D79)⋊C4C2414yes—
884(C2×D79)⋊C4C2412yes—
885(C2×D79)⋊C4C2412yes—
886(C2×D79)⋊C4C2412yes—
887(C2×D79)⋊C4C2414yes—
888(C2×D79)⋊C4C2414yes—
889(C2×D79)⋊C4C2412yes—
890C4×Dic79C2411yescharacteristic
891C4×Dic79C2411yescharacteristic
892C4×Dic79C2411yescharacteristic
893C4×Dic79C2411yescharacteristic
894C4×Dic79C2411yescharacteristic
895C4×Dic79C2411yescharacteristic
896C4×Dic79C2411yescharacteristic
897C4×Dic79C2411yescharacteristic
898C4×Dic79C2411yescharacteristic
899C4×Dic79C2411yescharacteristic
900C4×Dic79C2411yescharacteristic
901C4×Dic79C2411yescharacteristic
902C4×Dic79C2412yes—
903C4×Dic79C2414yes—
904C4×Dic79C2414yes—
905C4×Dic79C2414yes—
906C4×Dic79C2412yes—
907C4×Dic79C2414yes—
908C4×Dic79C2412yes—
909C4×Dic79C2412yes—
910C4×Dic79C2412yes—
911C4×Dic79C2414yes—
912C4×Dic79C2414yes—
913C4×Dic79C2414yes—
914C4×Dic79C2414yes—
915C4×Dic79C2414yes—
916C4×Dic79C2414yes—
917C4×Dic79C2414yes—
918C4×Dic79C2414yes—
919C4×Dic79C2414yes—
920C4×Dic79C2414yes—
921C4×Dic79C2414yes—
922C4×Dic79C2414yes—
923C2×Q8×C79C2412yes—
924C2×Q8×C79C2412yes—
925C2×Q8×C79C2414yes—
926C2×Q8×C79C2411yescharacteristic
927C2×D4×C79C2412yes—
928C2×D4×C79C2411yescharacteristic
929C22×C4×C79C2412yes—
930C22×C4×C79C2412yes—
931C22×C4×C79C2411yescharacteristic
932C22×C4×C79C2411yescharacteristic
933C22×C4×C79C2412yes—
934C22×C4×C79C2414yes—
935C22×C4×C79C2411yescharacteristic
936C4⋊C4×C79C2412yes—
937C4⋊C4×C79C2412yes—
938C4⋊C4×C79C2412yes—
939C4⋊C4×C79C2414yes—
940C4⋊C4×C79C2412yes—
941C4⋊C4×C79C2414yes—
942C4⋊C4×C79C2414yes—
943C4⋊C4×C79C2414yes—
944C4⋊C4×C79C2414yes—
945C4⋊C4×C79C2412yes—
946C4⋊C4×C79C2414yes—
947C4⋊C4×C79C2412yes—
948C4⋊C4×C79C2414yes—
949C4⋊C4×C79C2412yes—
950C4⋊C4×C79C2414yes—
951C4⋊C4×C79C2412yes—
952C4⋊C4×C79C2412yes—
953C4⋊C4×C79C2411yescharacteristic
954C4⋊C4×C79C2414yes—
955C4⋊C4×C79C2412yes—
956C4⋊C4×C79C2412yes—
957C4⋊C4×C79C2411yescharacteristic
958C4⋊C4×C79C2414yes—
959C4⋊C4×C79C2414yes—
960C4⋊C4×C79C2414yes—
961C4⋊C4×C79C2414yes—
962C4⋊C4×C79C2412yes—
963C4⋊C4×C79C2414yes—
964C22⋊C4×C79C2414yes—
965C22⋊C4×C79C2412yes—
966C22⋊C4×C79C2412yes—
967C22⋊C4×C79C2412yes—
968C22⋊C4×C79C2414yes—
969C22⋊C4×C79C2412yes—
970C22⋊C4×C79C2414yes—
971C22⋊C4×C79C2414yes—
972C22⋊C4×C79C2412yes—
973C42×C79C2411yescharacteristic
974C42×C79C2411yescharacteristic
975C42×C79C2411yescharacteristic
976C42×C79C2411yescharacteristic
977C42×C79C2414yes—
978C42×C79C2414yes—
979C42×C79C2412yes—
980C42×C79C2414yes—
981C42×C79C2414yes—
982C23×C79C2512yes—
983C23×C79C2511yescharacteristic
984C22×D79—22no—
985C22×D79—22no—
986C22×D79—41no—
987C22×D79C2511yescharacteristic
988C22×D79C2512yes—
989C22×D79C2511yescharacteristic
990Q8×C79—24no—
991Q8×C79—44no—
992Q8×C79—42no—
993Q8×C79—41no—
994D4×C79—24no—
995D4×C79—41no—
996C2×C4×C79—22no—
997C2×C4×C79—24no—
998C2×C4×C79—22no—
999C2×C4×C79—24no—
1000C2×C4×C79—41no—
1001C2×C4×C79—42no—
1002C2×C4×C79—44no—
1003C2×C4×C79C2511yescharacteristic
1004C2×C4×C79C2514yes—
1005C2×C4×C79C2512yes—
1006C2×C4×C79C2514yes—
1007C2×C4×C79C2512yes—
1008C2×C4×C79C2514yes—
1009C2×C4×C79C2512yes—
1010C2×C4×C79C2511yescharacteristic
1011C2×C4×C79C2511yescharacteristic
1012C2×C4×C79C2514yes—
1013C2×C4×C79C2511yescharacteristic
1014C2×C4×C79C2511yescharacteristic
1015C2×C4×C79C2511yescharacteristic
1016C22⋊D79—24no—
1017C22⋊D79—24no—
1018C22⋊D79—24no—
1019C22⋊D79—24no—
1020C22⋊D79—42no—
1021C2×Dic79—24no—
1022C2×Dic79—22no—
1023C2×Dic79—24no—
1024C2×Dic79—22no—
1025C2×Dic79—24no—
1026C2×Dic79—44no—
1027C2×Dic79—42no—
1028C2×Dic792−1+414yes—
1029C2×Dic79C2511yescharacteristic
1030C2×Dic79C2514yes—
1031C2×Dic79C2514yes—
1032C2×Dic79C2512yes—
1033C2×Dic79C2512yes—
1034C2×Dic79C2512yes—
1035C2×Dic79C2514yes—
1036C2×Dic79C2514yes—
1037C2×Dic79C2511yescharacteristic
1038C2×Dic79C2511yescharacteristic
1039C2×Dic79C2511yescharacteristic
1040C2×Dic79C2511yescharacteristic
1041C2×Dic79C2511yescharacteristic
1042D316—24no—
1043D316—41no—
1044D316—42no—
1045C4×D79—22no—
1046C4×D79—28no—
1047C4×D79—22no—
1048C4×D79—24no—
1049C4×D79—22no—
1050C4×D79—22no—
1051C4×D79—22no—
1052C4×D79—22no—
1053C4×D79—22no—
1054C4×D79—24no—
1055C4×D79—22no—
1056C4×D79—22no—
1057C4×D79—24no—
1058C4×D79—41no—
1059C4×D79—41no—
1060C4×D79—44no—
1061C4×D79—44no—
1062C4×D79—44no—
1063C4×D792−1+414yes—
1064Dic158—24no—
1065Dic158—28no—
1066Dic158—28no—
1067Dic158—28no—
1068Dic158—24no—
1069Dic158—24no—
1070Dic158—28no—
1071Dic158—28no—
1072Dic158—42no—
1073Dic158—44no—
1074Dic158—44no—
1075Dic158—44no—
1076Dic158—44no—
1077Dic158—41no—
1078C22×C79—21no—
1079C22×C79—21no—
1080C22×C79—22no—
1081C22×C79—22no—
1082C22×C79—22no—
1083C22×C79C2×2−1+412yes—
1084C22×C79C2611yescharacteristic
1085C2×D79—21no—
1086C2×D79—21no—
1087C2×D79—22no—
1088C2×D79—22no—
1089C2×D79—21no—
1090C2×D79—21no—
1091C2×D79—21no—
1092C2×D79—22no—
1093C2×D79—44no—
1094C2×D79C2×2−1+412yes—
1095C4×C79—24no—
1096C4×C79—22no—
1097C4×C79—21no—
1098C4×C79—21no—
1099C4×C79—21no—
1100C4×C79—22no—
1101C4×C79—24no—
1102C4×C79—24no—
1103C4×C79—21no—
1104C4×C79—24no—
1105C4×C79—21no—
1106C4×C79—22no—
1107C4×C79C2×2−1+412yes—
1108Dic79—22no—
1109Dic79—22no—
1110Dic79—24no—
1111Dic79—24no—
1112Dic79—21no—
1113Dic79—22no—
1114Dic79—24no—
1115Dic79—24no—
1116Dic79—21no—
1117Dic79C2×2−1+412yes—
1118Dic79C2×2−1+412yes—
1119Dic79C2×2−1+412yes—
1120Dic79#58512yes—
1121#62837—791nomaximal, Sylow
1122C2×C79—22no—
1123C2×C79—42no—
1124C2×C79C22×2−1+411yescharacteristic
1125C2×C79C22×2−1+411yescharacteristic
1126C2×C79C2×#58511yescharacteristic
1127D79—22no—
1128D79—42no—
1129D79—41no—
1130#3563—792no—
1131#3563—792no—
1132#3563—791no—
1133#3563—791no—
1134#3563—791no—
1135#3563D7911yescharacteristic, complemented
1136#3556—792no—
1137#3555—792no—
1138#3555—792no—
1139#3555—794no—
1140#3550—792no—
1141#3538—792no—
1142#3538—792no—
1143#3523—794no—
1144#3523—794no—
1145#3509—792no—
1146#3509—792no—
1147#3509—792no—
1148#3509—792no—
1149#3507—792no—
1150#3507—792no—
1151#3503—792no—
1152#3503—792no—
1153#3502—792no—
1154#3502—792no—
1155#3495—792no—
1156#3495—792no—
1157#3495—794no—
1158#3444—791no—
1159C2×#533—791no—
1160C2×#533—791no—
1161C79#6283711yescharacteristic, complemented, Sylow
1162#564—792no—
1163#564—792no—
1164#564—792no—
1165#564C2×D7912yescomplemented
1166#563—794no—
1167#563—794no—
1168#563—794no—
1169#563—792no—
1170#563—792no—
1171#563—792no—
1172#563—794no—
1173#563C2×D7912yescomplemented
1174#559—794no—
1175Q82—794no—
1176Q82—794no—
1177Q82—792no—
1178Q82—792no—
1179#557—794no—
1180#557—794no—
1181#557—794no—
1182#557—794no—
1183#557—794no—
1184#557—792no—
1185#557—794no—
1186#557—792no—
1187#557—794no—
1188#557—794no—
1189#557—794no—
1190#557—794no—
1191#557—794no—
1192#557—794no—
1193#557—792no—
1194#557—792no—
1195#557—792no—
1196#557—794no—
1197#557C2×D7912yescomplemented
1198#556—792no—
1199#556—794no—
1200#556—794no—
1201#556—794no—
1202#556—794no—
1203#556—794no—
1204#556—794no—
1205#556—792no—
1206#556—792no—
1207#556—794no—
1208#556—794no—
1209#556—792no—
1210#556—792no—
1211#556—792no—
1212#556—794no—
1213#554—794no—
1214#554—794no—
1215#554—794no—
1216#554—792no—
1217#554—792no—
1218#554—792no—
1219#554—792no—
1220#554—792no—
1221#554C2×D7912yes—
1222#552—794no—
1223#552—794no—
1224#552—794no—
1225#552—794no—
1226#552—794no—
1227#552—794no—
1228#552—794no—
1229#552—794no—
1230#552—792no—
1231#552—794no—
1232#552—792no—
1233#552—794no—
1234#552—794no—
1235#552—794no—
1236#552—794no—
1237#552—792no—
1238#552—792no—
1239#552—792no—
1240#552—792no—
1241#552—792no—
1242#552—792no—
1243#552—794no—
1244#552—794no—
1245#552—794no—
1246#552—792no—
1247#552—792no—
1248#552—794no—
1249#552C2×D7912yes—
1250#552C2×D7914yes—
1251#552C2×D7912yescomplemented
1252#551—794no—
1253#551—794no—
1254#551—794no—
1255#551—794no—
1256D4×Q8—794no—
1257D4×Q8—794no—
1258D4×Q8—794no—
1259D4×Q8—794no—
1260D4×Q8—794no—
1261D4×Q8—794no—
1262#544—792no—
1263#544—794no—
1264#544—792no—
1265#544—792no—
1266#544—794no—
1267#544—794no—
1268#544—792no—
1269#544—794no—
1270#544—792no—
1271#544—792no—
1272#544—794no—
1273#544—792no—
1274#544—792no—
1275#544C2×D7912yes—
1276#544C2×D7912yescomplemented
1277#542—794no—
1278#542—794no—
1279#542—794no—
1280#542—794no—
1281#541—792no—
1282#541—794no—
1283#541—794no—
1284#541—794no—
1285#541—794no—
1286#541—794no—
1287#541—794no—
1288#541—794no—
1289#541—794no—
1290#541—794no—
1291#541—794no—
1292#541—794no—
1293#541—794no—
1294#541—794no—
1295#541—794no—
1296#541—792no—
1297#541—794no—
1298#541—794no—
1299#541—794no—
1300#541—792no—
1301#541C2×D7912yescomplemented
1302#541C2×D7914yescomplemented
1303#539—794no—
1304#539—794no—
1305#539—792no—
1306#539—792no—
1307#539—792no—
1308#539C2×D7912yes—
1309#536—794no—
1310#536—794no—
1311#536—794no—
1312#536—792no—
1313#536—792no—
1314#533—791no—
1315#533—791no—
1316#533—792no—
1317#533—792no—
1318#533—792no—
1319#533—792no—
1320#533—792no—
1321#533—792no—
1322#533—792no—
1323#533—792no—
1324#533—792no—
1325#533—791no—
1326#533—794no—
1327#533—792no—
1328#533—792no—
1329#533—792no—
1330#533—791no—
1331#533—794no—
1332#533—792no—
1333#533—792no—
1334#533—792no—
1335#533—792no—
1336#533—791no—
1337#533—794no—
1338#533—792no—
1339#533—792no—
1340#533—792no—
1341#533—794no—
1342#533—792no—
1343#533—791no—
1344#533C2×D7911yescharacteristic
1345#532—791no—
1346#532—791no—
1347#532—791no—
1348C2×C4⋊Q8—791no—
1349C2×C4⋊Q8—791no—
1350C2×C4⋊Q8—792no—
1351C2×C4⋊Q8—791no—
1352C2×C4⋊Q8—791no—
1353C2×C4⋊Q8—792no—
1354#529—792no—
1355#529—792no—
1356#529—794no—
1357#529—791no—
1358#529—791no—
1359#529—792no—
1360#529—794no—
1361#529—794no—
1362#529—792no—
1363#529—794no—
1364#529—791no—
1365#529C2×D7911yescharacteristic
1366C2×#125—792no—
1367C2×#125—791no—
1368C2×#125C2×D7911yescharacteristic
1369#525—792no—
1370#525—791no—
1371#525—791no—
1372#525—792no—
1373C2×C22⋊Q8—792no—
1374C2×C22⋊Q8—792no—
1375C2×C22⋊Q8—792no—
1376C2×C22⋊Q8—792no—
1377#520—794no—
1378#520—792no—
1379#520—792no—
1380#519—792no—
1381#519—792no—
1382#519—794no—
1383#519—794no—
1384#519—794no—
1385C4×#41—791no—
1386C4×#41—792no—
1387C4×#41—791no—
1388C4×#41—792no—
1389C2×C4×Q8—792no—
1390C2×C4×Q8—792no—
1391C2×C4×Q8—792no—
1392C2×C4×Q8—792no—
1393C2×#117—792no—
1394C2×#117—791no—
1395C2×#117—791no—
1396C22×C42—791no—
1397C2×#41—791no—
1398C2×#41—791no—
1399C2×#41—792no—
1400C2×#41—792no—
1401C22×Q8—792no—
1402C22×Q8—794no—
1403C22×Q8—792no—
1404C22×Q8—792no—
1405C22×Q8—794no—
1406C22×Q8—792no—
1407C23×C4—791no—
1408C23×C4—791no—
1409C23×C4—791no—
1410C4⋊Q8—792no—
1411C4⋊Q8—792no—
1412C4⋊Q8—794no—
1413C4⋊Q8—791no—
1414C4⋊Q8—794no—
1415C4⋊Q8—794no—
1416C4⋊Q8—794no—
1417C4⋊Q8—794no—
1418C4⋊Q8—794no—
1419C4⋊Q8—792no—
1420C4⋊Q8—792no—
1421C4⋊Q8—792no—
1422C4⋊Q8—792no—
1423C4⋊Q8—792no—
1424C4⋊Q8—792no—
1425C4⋊Q8—792no—
1426C4⋊Q8—792no—
1427C4⋊Q8—792no—
1428C4⋊Q8—792no—
1429C4⋊Q8—792no—
1430C4⋊Q8—792no—
1431C4⋊Q8—794no—
1432C4⋊Q8—794no—
1433C4⋊Q8—794no—
1434C4⋊Q8—792no—
1435C4⋊Q8—792no—
1436C4⋊Q8—791no—
1437C4⋊Q8—791no—
1438C4⋊Q8—794no—
1439C4⋊Q8—794no—
1440C4⋊Q8—794no—
1441C4⋊Q8—794no—
1442C4⋊Q8—794no—
1443C4⋊Q8—794no—
1444C4⋊Q8—794no—
1445C4⋊Q8—794no—
1446C4⋊Q8—794no—
1447C4⋊Q8—794no—
1448C4⋊Q8—794no—
1449C4⋊Q8—794no—
1450C4⋊Q8—791no—
1451C4⋊Q8—791no—
1452C4⋊Q8—792no—
1453C4⋊Q8—794no—
1454C4⋊Q8C22×D7911yescharacteristic
1455C4⋊Q8C22×D7911yescharacteristic
1456C4⋊Q8C22×D7912yes—
1457C4⋊Q8C22×D7914yes—
1458C4⋊Q8C22×D7914yes—
1459#127—791no—
1460#126—792no—
1461#126—794no—
1462#126—794no—
1463#126—794no—
1464#126—794no—
1465#126—794no—
1466#126—794no—
1467#126—794no—
1468#126—794no—
1469#126—794no—
1470#126—794no—
1471#126—794no—
1472#126—794no—
1473#126—794no—
1474#126—794no—
1475#126—794no—
1476#126—794no—
1477#126—792no—
1478#126—794no—
1479#126—794no—
1480#126—794no—
1481#126—794no—
1482#126—794no—
1483#126—794no—
1484#126—794no—
1485#126—794no—
1486#126—792no—
1487#126—794no—
1488#126—794no—
1489#126—794no—
1490#126—794no—
1491#126C22×D7912yes—
1492#126C22×D7914yes—
1493#126C22×D7914yes—
1494#126C22×D7914yes—
1495#126C22×D7914yes—
1496#125—792no—
1497#125—792no—
1498#125—794no—
1499#125—794no—
1500#125—792no—
1501#125—792no—
1502#125—794no—
1503#125—794no—
1504#125—794no—
1505#125—794no—
1506#125—794no—
1507#125—794no—
1508#125—794no—
1509#125—794no—
1510#125—794no—
1511#125—794no—
1512#125—794no—
1513#125—794no—
1514#125—794no—
1515#125—794no—
1516#125—792no—
1517#125—792no—
1518#125—794no—
1519#125—794no—
1520#125—794no—
1521#125—794no—
1522#125—794no—
1523#125—794no—
1524#125—794no—
1525#125—794no—
1526#125—794no—
1527#125—794no—
1528#125—794no—
1529#125—794no—
1530#125—794no—
1531#125—794no—
1532#125—794no—
1533#125—794no—
1534#125—794no—
1535#125—794no—
1536#125—794no—
1537#125—794no—
1538#125—794no—
1539#125—794no—
1540#125—794no—
1541#125—794no—
1542#125—792no—
1543#125—792no—
1544#125—792no—
1545#125—792no—
1546#125—792no—
1547#125—791no—
1548#125—794no—
1549#125—792no—
1550#125—794no—
1551#125C22×D7912yes—
1552#125C22×D7912yes—
1553#125C22×D7912yes—
1554#125C22×D7912yes—
1555#125C22×D7912yes—
1556#125C22×D7911yescharacteristic
1557#125C22×D7914yes—
1558#125C22×D7912yes—
1559#125C22×D7914yes—
1560#125C22×D7914yes—
1561#125C22×D7914yes—
1562#125C22×D7914yes—
1563#125C22×D7914yes—
1564#125C22×D7914yes—
1565#125C22×D7914yes—
1566#124—794no—
1567#124—792no—
1568#124—792no—
1569#124—794no—
1570#124—794no—
1571#124—794no—
1572#124—794no—
1573#124—794no—
1574#124—794no—
1575#124—791no—
1576#124—794no—
1577#124C22×D7911yescharacteristic
1578#123—794no—
1579#123—794no—
1580#123—792no—
1581#123—794no—
1582#123—794no—
1583#123—792no—
1584#123—792no—
1585#123—794no—
1586#123—794no—
1587#123—794no—
1588#123—794no—
1589#123—794no—
1590#123—794no—
1591#123—792no—
1592#123—792no—
1593#123—794no—
1594#123—794no—
1595#123—794no—
1596#123—794no—
1597#123C22×D7912yes—
1598#123C22×D7914yes—
1599#123C22×D7914yes—
1600C22⋊Q8—792no—
1601C22⋊Q8—792no—
1602C22⋊Q8—791no—
1603C22⋊Q8—792no—
1604C22⋊Q8—792no—
1605C22⋊Q8—794no—
1606C22⋊Q8—794no—
1607C22⋊Q8—792no—
1608C22⋊Q8—792no—
1609C22⋊Q8—791no—
1610C22⋊Q8—792no—
1611C22⋊Q8—792no—
1612C22⋊Q8—794no—
1613C22⋊Q8—794no—
1614C22⋊Q8—794no—
1615C22⋊Q8—794no—
1616C22⋊Q8—794no—
1617C22⋊Q8—794no—
1618C22⋊Q8—794no—
1619C22⋊Q8—794no—
1620C22⋊Q8—794no—
1621C22⋊Q8—794no—
1622C22⋊Q8—794no—
1623C22⋊Q8—792no—
1624C22⋊Q8—794no—
1625C22⋊Q8—792no—
1626C22⋊Q8—792no—
1627C22⋊Q8—792no—
1628C22⋊Q8—792no—
1629C22⋊Q8—791no—
1630C22⋊Q8—794no—
1631C22⋊Q8—794no—
1632C22⋊Q8—794no—
1633C22⋊Q8—792no—
1634C22⋊Q8—794no—
1635C22⋊Q8—792no—
1636C22⋊Q8—794no—
1637C22⋊Q8—794no—
1638C22⋊Q8—794no—
1639C22⋊Q8—794no—
1640C22⋊Q8—794no—
1641C22⋊Q8—794no—
1642C22⋊Q8—794no—
1643C22⋊Q8—794no—
1644C22⋊Q8—794no—
1645C22⋊Q8—794no—
1646C22⋊Q8—794no—
1647C22⋊Q8—794no—
1648C22⋊Q8—792no—
1649C22⋊Q8—794no—
1650C22⋊Q8—794no—
1651C22⋊Q8—794no—
1652C22⋊Q8—794no—
1653C22⋊Q8—794no—
1654C22⋊Q8—794no—
1655C22⋊Q8—794no—
1656C22⋊Q8—794no—
1657C22⋊Q8—794no—
1658C22⋊Q8—794no—
1659C22⋊Q8C22×D7912yes—
1660C22⋊Q8C22×D7912yes—
1661C22⋊Q8C22×D7911yescharacteristic
1662C22⋊Q8C22×D7912yes—
1663C22⋊Q8C22×D7912yes—
1664C22⋊Q8C22×D7914yes—
1665C22⋊Q8C22×D7914yes—
1666C22⋊Q8C22×D7914yes—
1667C22⋊Q8C22×D7914yes—
1668#121—792no—
1669#121—791no—
1670#121—791no—
1671#121—791no—
1672#121—792no—
1673#121—792no—
1674#121—792no—
1675#121C22×D7911yescharacteristic
1676#120—792no—
1677#120—792no—
1678C4×Q8—792no—
1679C4×Q8—792no—
1680C4×Q8—791no—
1681C4×Q8—792no—
1682C4×Q8—794no—
1683C4×Q8—792no—
1684C4×Q8—794no—
1685C4×Q8—794no—
1686C4×Q8—794no—
1687C4×Q8—794no—
1688C4×Q8—794no—
1689C4×Q8—794no—
1690C4×Q8—792no—
1691C4×Q8—794no—
1692C4×Q8—792no—
1693C4×Q8—794no—
1694C4×Q8—794no—
1695C4×Q8—794no—
1696C4×Q8—791no—
1697C4×Q8—792no—
1698C4×Q8—792no—
1699C4×Q8—792no—
1700C4×Q8—794no—
1701C4×Q8—794no—
1702C4×Q8—794no—
1703C4×Q8—794no—
1704C4×Q8—794no—
1705C4×Q8—792no—
1706C4×Q8—794no—
1707C4×Q8—794no—
1708C4×Q8—794no—
1709C4×Q8—794no—
1710C4×Q8—792no—
1711C4×Q8—794no—
1712C4×Q8—794no—
1713C4×Q8—794no—
1714C4×Q8—794no—
1715C4×Q8—794no—
1716C4×Q8—792no—
1717C4×Q8—792no—
1718C4×Q8—794no—
1719C4×Q8—791no—
1720C4×Q8—792no—
1721C4×Q8—794no—
1722C4×Q8—794no—
1723C4×Q8—794no—
1724C4×Q8—794no—
1725C4×Q8—794no—
1726C4×Q8—792no—
1727C4×Q8—794no—
1728C4×Q8—794no—
1729C4×Q8—794no—
1730C4×Q8—794no—
1731C4×Q8—792no—
1732C4×Q8—794no—
1733C4×Q8—794no—
1734C4×Q8—794no—
1735C4×Q8—794no—
1736C4×Q8C22×D7912yes—
1737C4×Q8C22×D7912yes—
1738C4×Q8C22×D7911yescharacteristic
1739C4×Q8C22×D7912yes—
1740C4×Q8C22×D7914yes—
1741C4×Q8C22×D7912yes—
1742C4×D4—792no—
1743C4×D4—791no—
1744C4×D4—794no—
1745C4×D4—792no—
1746C4×D4—792no—
1747C4×D4—792no—
1748C4×D4—794no—
1749C4×D4—794no—
1750C4×D4—794no—
1751C4×D4—794no—
1752C4×D4—792no—
1753C4×D4—792no—
1754C4×D4—792no—
1755C4×D4—791no—
1756C4×D4—794no—
1757C4×D4—792no—
1758C4×D4—792no—
1759C4×D4—792no—
1760C4×D4—792no—
1761C4×D4—792no—
1762C4×D4—792no—
1763C4×D4—792no—
1764C4×D4—794no—
1765C4×D4—794no—
1766C4×D4—794no—
1767C4×D4—794no—
1768C4×D4—792no—
1769C4×D4—791no—
1770C4×D4—794no—
1771C4×D4C22×D7912yes—
1772C4×D4C22×D7911yescharacteristic
1773C4×D4C22×D7914yes—
1774#117—792no—
1775#117—794no—
1776#117—794no—
1777#117—792no—
1778#117—792no—
1779#117—792no—
1780#117—792no—
1781#117—792no—
1782#117—792no—
1783#117—792no—
1784#117—792no—
1785#117—792no—
1786#117—792no—
1787#117—792no—
1788#117—792no—
1789#117—791no—
1790#117—791no—
1791#117—792no—
1792#117—794no—
1793#117—794no—
1794#117—794no—
1795#117—794no—
1796#117—792no—
1797#117—792no—
1798#117—794no—
1799#117—792no—
1800#117—792no—
1801#117—792no—
1802#117—794no—
1803#117—794no—
1804#117—794no—
1805#117—794no—
1806#117—794no—
1807#117—794no—
1808#117—794no—
1809#117—792no—
1810#117—792no—
1811#117—794no—
1812#117—794no—
1813#117—794no—
1814#117—794no—
1815#117—794no—
1816#117—794no—
1817#117C22×D7912yes—
1818#117C22×D7912yes—
1819#117C22×D7914yes—
1820#117C22×D7914yes—
1821#117C22×D7912yes—
1822C2×C4⋊C4—791no—
1823C2×C4⋊C4—791no—
1824C2×C4⋊C4—792no—
1825C2×C4⋊C4—792no—
1826C2×C4⋊C4—792no—
1827C2×C4⋊C4—792no—
1828C2×C4⋊C4—794no—
1829C2×C4⋊C4—792no—
1830C2×C4⋊C4—792no—
1831C2×C4⋊C4—792no—
1832C2×C4⋊C4—792no—
1833C2×C4⋊C4—794no—
1834C2×C4⋊C4—794no—
1835C2×C4⋊C4—792no—
1836C2×C4⋊C4—794no—
1837C2×C4⋊C4—792no—
1838C2×C4⋊C4—792no—
1839C2×C4⋊C4C22×D7911yescharacteristic
1840C2×C4⋊C4C22×D7911yescharacteristic
1841C2×C4⋊C4C22×D7912yes—
1842C2×C4⋊C4C22×D7912yes—
1843C2×C4⋊C4C22×D7912yes—
1844C2×C22⋊C4—792no—
1845C2×C22⋊C4—792no—
1846C2×C22⋊C4—794no—
1847C2×C42—792no—
1848C2×C42—792no—
1849C2×C42—791no—
1850C2×C42—791no—
1851C2×C42—792no—
1852C2×C42—791no—
1853C2×C42—794no—
1854C2×C42—791no—
1855C2×C42—791no—
1856C2×C42—792no—
1857C2×C42—791no—
1858C2×C42—791no—
1859C2×C42—791no—
1860C2×C42—791no—
1861C2×C42—791no—
1862C2×C42—791no—
1863C2×C42C22×D7911yescharacteristic
1864C24—791no—
1865#41—3162no—
1866#41—3162no—
1867#41—1588no—
1868#41—1588no—
1869C2×Q8—3164no—
1870C2×Q8—3168no—
1871C2×Q8—3164no—
1872C2×Q8—3168no—
1873C2×Q8—794no—
1874C2×Q8—792no—
1875C2×Q8—794no—
1876C2×Q8—794no—
1877C2×Q8—794no—
1878C2×Q8—791no—
1879C2×Q8—794no—
1880C2×Q8—792no—
1881C2×Q8—794no—
1882C2×Q8—794no—
1883C2×Q8—792no—
1884C2×Q8—792no—
1885C2×Q8—794no—
1886C2×Q8—794no—
1887C2×Q8—1588no—
1888C2×Q8—1588no—
1889C2×Q8C23×D7912yes—
1890C2×Q8C23×D7912yes—
1891C2×Q8C23×D7914yes—
1892C2×Q8C23×D7911yescharacteristic
1893C2×D4—792no—
1894C2×D4—792no—
1895C2×D4—792no—
1896C2×D4—792no—
1897C2×D4—792no—
1898C2×D4—792no—
1899C2×D4—791no—
1900C2×D4—792no—
1901C2×D4C23×D7912yes—
1902C2×D4C23×D7911yescharacteristic
1903C22×C4—3162no—
1904C22×C4—792no—
1905C22×C4—794no—
1906C22×C4—791no—
1907C22×C4—791no—
1908C22×C4—794no—
1909C22×C4—794no—
1910C22×C4—794no—
1911C22×C4—791no—
1912C22×C4—791no—
1913C22×C4—791no—
1914C22×C4—791no—
1915C22×C4—792no—
1916C22×C4—792no—
1917C22×C4—792no—
1918C22×C4—791no—
1919C22×C4—791no—
1920C22×C4—791no—
1921C22×C4—791no—
1922C22×C4—791no—
1923C22×C4—791no—
1924C22×C4—791no—
1925C22×C4—791no—
1926C22×C4—791no—
1927C22×C4—794no—
1928C22×C4—792no—
1929C22×C4—792no—
1930C22×C4—792no—
1931C22×C4—1584no—
1932C22×C4—1584no—
1933C22×C4C23×D7911yescharacteristic
1934C22×C4C23×D7911yescharacteristic
1935C22×C4C23×D7912yes—
1936C22×C4C23×D7912yes—
1937C22×C4C23×D7911yescharacteristic
1938C22×C4C23×D7912yes—
1939C22×C4C23×D7914yes—
1940C4⋊C4—794no—
1941C4⋊C4—794no—
1942C4⋊C4—794no—
1943C4⋊C4—794no—
1944C4⋊C4—794no—
1945C4⋊C4—794no—
1946C4⋊C4—794no—
1947C4⋊C4—794no—
1948C4⋊C4—794no—
1949C4⋊C4—794no—
1950C4⋊C4—794no—
1951C4⋊C4—794no—
1952C4⋊C4—794no—
1953C4⋊C4—794no—
1954C4⋊C4—794no—
1955C4⋊C4—794no—
1956C4⋊C4—794no—
1957C4⋊C4—794no—
1958C4⋊C4—794no—
1959C4⋊C4—794no—
1960C4⋊C4—792no—
1961C4⋊C4—792no—
1962C4⋊C4—792no—
1963C4⋊C4—792no—
1964C4⋊C4—792no—
1965C4⋊C4—792no—
1966C4⋊C4—792no—
1967C4⋊C4—792no—
1968C4⋊C4—792no—
1969C4⋊C4—792no—
1970C4⋊C4—794no—
1971C4⋊C4—794no—
1972C4⋊C4—794no—
1973C4⋊C4—794no—
1974C4⋊C4—794no—
1975C4⋊C4—794no—
1976C4⋊C4—794no—
1977C4⋊C4—794no—
1978C4⋊C4—794no—
1979C4⋊C4—794no—
1980C4⋊C4—794no—
1981C4⋊C4—794no—
1982C4⋊C4—792no—
1983C4⋊C4—792no—
1984C4⋊C4—792no—
1985C4⋊C4—794no—
1986C4⋊C4—792no—
1987C4⋊C4—792no—
1988C4⋊C4—792no—
1989C4⋊C4—792no—
1990C4⋊C4—794no—
1991C4⋊C4—794no—
1992C4⋊C4—794no—
1993C4⋊C4—792no—
1994C4⋊C4—792no—
1995C4⋊C4—791no—
1996C4⋊C4—791no—
1997C4⋊C4—792no—
1998C4⋊C4—794no—
1999C4⋊C4—794no—
2000C4⋊C4—794no—
2001C4⋊C4—794no—
2002C4⋊C4—794no—
2003C4⋊C4—794no—
2004C4⋊C4C23×D7912yes—
2005C4⋊C4C23×D7912yes—
2006C4⋊C4C23×D7912yes—
2007C4⋊C4C23×D7912yes—
2008C4⋊C4C23×D7914yes—
2009C4⋊C4C23×D7914yes—
2010C4⋊C4C23×D7914yes—
2011C4⋊C4C23×D7912yes—
2012C4⋊C4C23×D7912yes—
2013C4⋊C4C23×D7912yes—
2014C4⋊C4C23×D7912yes—
2015C4⋊C4C23×D7914yes—
2016C4⋊C4C23×D7914yes—
2017C4⋊C4C23×D7914yes—
2018C4⋊C4C23×D7914yes—
2019C4⋊C4C23×D7914yes—
2020C4⋊C4C23×D7912yes—
2021C4⋊C4C23×D7911yescharacteristic
2022C4⋊C4C23×D7911yescharacteristic
2023C4⋊C4C23×D7912yes—
2024C4⋊C4C23×D7914yes—
2025C4⋊C4C23×D7914yes—
2026C4⋊C4C23×D7914yes—
2027C4⋊C4C23×D7912yes—
2028C4⋊C4C23×D7912yes—
2029C4⋊C4C23×D7914yes—
2030C4⋊C4C23×D7914yes—
2031C4⋊C4C23×D7914yes—
2032C22⋊C4—794no—
2033C22⋊C4—792no—
2034C22⋊C4—792no—
2035C22⋊C4—794no—
2036C22⋊C4—792no—
2037C22⋊C4—794no—
2038C22⋊C4—794no—
2039C22⋊C4—794no—
2040C22⋊C4—794no—
2041C22⋊C4—794no—
2042C22⋊C4—794no—
2043C22⋊C4—794no—
2044C22⋊C4—794no—
2045C22⋊C4—792no—
2046C22⋊C4—792no—
2047C22⋊C4—792no—
2048C22⋊C4—792no—
2049C22⋊C4—794no—
2050C22⋊C4—794no—
2051C22⋊C4—792no—
2052C22⋊C4—792no—
2053C22⋊C4—792no—
2054C22⋊C4—792no—
2055C22⋊C4—792no—
2056C22⋊C4—792no—
2057C22⋊C4—794no—
2058C22⋊C4—794no—
2059C22⋊C4—794no—
2060C22⋊C4—794no—
2061C22⋊C4C23×D7914yes—
2062C22⋊C4C23×D7912yes—
2063C22⋊C4C23×D7912yes—
2064C22⋊C4C23×D7914yes—
2065C22⋊C4C23×D7912yes—
2066C22⋊C4C23×D7914yes—
2067C22⋊C4C23×D7912yes—
2068C22⋊C4C23×D7912yes—
2069C22⋊C4C23×D7914yes—
2070C42—791no—
2071C42—791no—
2072C42—791no—
2073C42—791no—
2074C42—791no—
2075C42—791no—
2076C42—791no—
2077C42—791no—
2078C42—791no—
2079C42—791no—
2080C42—791no—
2081C42—791no—
2082C42—794no—
2083C42—794no—
2084C42—794no—
2085C42—792no—
2086C42—792no—
2087C42—792no—
2088C42—792no—
2089C42—792no—
2090C42—794no—
2091C42—794no—
2092C42—794no—
2093C42—794no—
2094C42—794no—
2095C42—794no—
2096C42—794no—
2097C42—794no—
2098C42—794no—
2099C42—794no—
2100C42—794no—
2101C42—794no—
2102C42—794no—
2103C42C23×D7911yescharacteristic
2104C42C23×D7911yescharacteristic
2105C42C23×D7911yescharacteristic
2106C42C23×D7911yescharacteristic
2107C42C23×D7914yes—
2108C42C23×D7912yes—
2109C42C23×D7914yes—
2110C42C23×D7914yes—
2111C42C23×D7914yes—
2112C23—3161no—
2113C23—791no—
2114C23—791no—
2115C23—792no—
2116C23—1582no—
2117C23—1582no—
2118C23C24×D7912yes—
2119C23C24×D7911yescharacteristic
2120Q8—24no—
2121Q8—44no—
2122Q8—42no—
2123Q8—41no—
2124Q8—3164no—
2125Q8—3164no—
2126Q8—3164no—
2127Q8—3162no—
2128Q8—3164no—
2129Q8—3161no—
2130Q8—1588no—
2131Q8—1588no—
2132Q8—1588no—
2133Q8—1588no—
2134Q8—1588no—
2135Q8—1584no—
2136Q8—1584no—
2137Q8—1584no—
2138D4—24no—
2139D4—41no—
2140D4—3161no—
2141D4—3162no—
2142D4—3162no—
2143D4—1584no—
2144D4—1584no—
2145D4—1584no—
2146D4—1584no—
2147D4—1584no—
2148C2×C4—22no—
2149C2×C4—24no—
2150C2×C4—22no—
2151C2×C4—24no—
2152C2×C4—41no—
2153C2×C4—42no—
2154C2×C4—44no—
2155C2×C4—3161no—
2156C2×C4—3161no—
2157C2×C4—3164no—
2158C2×C4—3164no—
2159C2×C4—3164no—
2160C2×C4—3162no—
2161C2×C4—3164no—
2162C2×C4—794no—
2163C2×C4—791no—
2164C2×C4—791no—
2165C2×C4—791no—
2166C2×C4—791no—
2167C2×C4—794no—
2168C2×C4—791no—
2169C2×C4—794no—
2170C2×C4—794no—
2171C2×C4—792no—
2172C2×C4—792no—
2173C2×C4—792no—
2174C2×C4—794no—
2175C2×C4—794no—
2176C2×C4—791no—
2177C2×C4—1582no—
2178C2×C4—1582no—
2179C2×C4—1582no—
2180C2×C4—1582no—
2181C2×C4—1582no—
2182C2×C4—1582no—
2183C2×C4—1582no—
2184C2×C4—1584no—
2185C2×C4—1584no—
2186C2×C4—1582no—
2187C2×C4—1588no—
2188C2×C4—1582no—
2189C2×C4—1582no—
2190C2×C4—1584no—
2191C2×C4—1584no—
2192C2×C4—1584no—
2193C2×C4—1582no—
2194C2×C4—1584no—
2195C2×C4C24×D7911yescharacteristic
2196C2×C4C24×D7914yes—
2197C2×C4C24×D7912yes—
2198C2×C4C24×D7914yes—
2199C2×C4C24×D7912yes—
2200C2×C4C24×D7912yes—
2201C2×C4C24×D7914yes—
2202C2×C4C24×D7911yescharacteristic
2203C2×C4C24×D7911yescharacteristic
2204C2×C4C24×D7914yes—
2205C2×C4C24×D7911yescharacteristic
2206C2×C4C24×D7911yescharacteristic
2207C2×C4C24×D7911yescharacteristic
2208C22—21no—
2209C22—21no—
2210C22—22no—
2211C22—22no—
2212C22—22no—
2213C22—3164no—
2214C22—792no—
2215C22—1581no—
2216C22—1581no—
2217C22—1582no—
2218C22—1582no—
2219C22—1582no—
2220C22—1581no—
2221C22—1581no—
2222C22—1581no—
2223C222−1+4×D7912yes—
2224C22C25×D7911yescharacteristic
2225C4—21no—
2226C4—21no—
2227C4—21no—
2228C4—22no—
2229C4—24no—
2230C4—22no—
2231C4—24no—
2232C4—24no—
2233C4—24no—
2234C4—21no—
2235C4—21no—
2236C4—22no—
2237C4—792no—
2238C4—792no—
2239C4—792no—
2240C4—792no—
2241C4—1581no—
2242C4—1582no—
2243C4—1582no—
2244C4—1584no—
2245C4—1584no—
2246C4—1584no—
2247C4—1584no—
2248C4—1581no—
2249C4—1582no—
2250C42−1+4×D7912yes—
2251C2—22no—
2252C2—42no—
2253C2—3161no—
2254C2—3162no—
2255C2—1582no—
2256C2C2×2−1+4×D7911yescharacteristic
2257C2C2×2−1+4×D7911yescharacteristic
2258C2#585×D7911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3563C2
prime radical#23776694C2
hypercenter#3563D79
hypocenterC79#62837
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3563

Complements

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

NH ≅ G/Ntype
1. #23778010C2semidirect
2. #23778009C2semidirect
3. #23778006C2semidirect
4. #23778003C2semidirect
5. #23778000C2semidirect
6. #23777894C2semidirect
7. #23777885C2semidirect
8. #23777881C2semidirect
9. #23777877C2semidirect
10. #23777810C2semidirect
11. #23777647C2semidirect
12. #23777642C2semidirect
13. #23777492C2semidirect
14. #23777489C2semidirect
15. #23777283C2semidirect
16. #23777282C2semidirect
17. #23777278C2semidirect
18. #23777278C2semidirect
19. #23777260C2semidirect
20. #23777259C2semidirect
21. #23777215C2semidirect
22. #23777214C2semidirect
23. #23777208C2semidirect
24. #23777207C2semidirect
25. #23777148C2semidirect
26. #23777143C2semidirect
27. #23777141C2semidirect
29. C2×#19099119C2semidirect
30. #533×D79C2semidirect
31. C79×#3563C2semidirect
32. C79⋊#564C22semidirect
33. C79⋊#564C22semidirect
34. C79⋊#564C22semidirect
36. #19099317C22semidirect
37. #19099317C22semidirect
40. #19099313C22semidirect
42. #19099297C22semidirect
43. Q8×Dic158C22semidirect
44. #19099293C22semidirect
45. #19099293C22semidirect
46. #19099293C22semidirect
47. #19099291C22semidirect
48. #19099291C22semidirect
49. #19099290C22semidirect
50. #19099290C22semidirect
51. #19099290C22semidirect
52. #19099290C22semidirect
53. #19099290C22semidirect
54. #19099290C22semidirect
55. #19099290C22semidirect
56. #19099290C22semidirect
57. #19099290C22semidirect
58. #19099290C22semidirect
59. #19099290C22semidirect
60. #19099290C22semidirect
61. #19099289C22semidirect
62. #19099289C22semidirect
63. #19099288C22semidirect
64. #19099288C22semidirect
69. #19099284C22semidirect
70. #19099284C22semidirect
72. #19099281C22semidirect
73. #19099281C22semidirect
75. #19099280C22semidirect
76. #19099280C22semidirect
77. #19099280C22semidirect
78. #19099280C22semidirect
79. #19099280C22semidirect
81. #19099271C22semidirect
85. #19099268C22semidirect
87. #19099267C22semidirect
91. #19099254C22semidirect
93. #19099253C22semidirect
96. #19099251C22semidirect
99. #19099250C22semidirect
114. #19099245C22semidirect
123. #19099226C22semidirect
124. #19099226C22semidirect
128. #19099193C22semidirect
129. #19099193C22semidirect
133. #19099192C22semidirect
134. #19099191C22semidirect
137. #19099190C22semidirect
142. #19099176C22semidirect
143. #19099176C22semidirect
144. #19099175C22semidirect
145. #19099174C22semidirect
146. #19099173C22semidirect
153. #19099172C22semidirect
154. #19099172C22semidirect
155. #19099172C22semidirect
156. #19099172C22semidirect
157. #19099171C22semidirect
158. #19099170C22semidirect
159. #19099170C22semidirect
160. #19099170C22semidirect
161. #19099170C22semidirect
184. #19099119C22semidirect
191. #19099117C22semidirect
192. #19099117C22semidirect
195. #19099116C22semidirect
200. #19099115C22semidirect
201. #19099115C22semidirect
207. C2×#14579160C22semidirect
210. C4⋊Q8×D79C22semidirect
236. #19099040C22semidirect
239. #19099039C22semidirect
252. #564×C79C22semidirect
253. #563×C79C22semidirect
254. #557×C79C22semidirect
258. #552×C79C22semidirect
260. #544×C79C22semidirect
261. #541×C79C22semidirect
262. #541×C79C22semidirect
1135. #3563D79semidirect
1161. C79#62837semidirect
1165. #564C2×D79semidirect
1173. #563C2×D79semidirect
1197. #557C2×D79semidirect
1251. #552C2×D79semidirect
1276. #544C2×D79semidirect
1301. #541C2×D79semidirect
1302. #541C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780102
#237780092
#237780062
#237780032
#237780002
#237778942
#237778852
#237778812
#237778772
#237778102
#237776472
#237776422
#237774922
#237774892
#237772832
#237772822
#237772782
#237772602
#237772592
#237772152
#237772142
#237772082
#237772072
#237771482
#237771432
#237771412
#237766942
C2×#190991192
#533×D792
C79×#35632
#6283779