Finite Group Databasebeta

← #35202021

Subgroups — #35202021

Order 20224.

6588 conjugacy classes of subgroups.

The subgroup lattice has 2248 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777937C212yesmaximal, complemented
2#23777936C214yesmaximal, complemented
3#23777934C211yesmaximal, characteristic, complemented
4#23777933C212yesmaximal, complemented
5#23777932C212yesmaximal, complemented
6#23777929C212yesmaximal, complemented
7#23777928C212yesmaximal, complemented
8#23777926C214yesmaximal, complemented
9#23777926C214yesmaximal, complemented
10#23777925C214yesmaximal, complemented
11#23777924C212yesmaximal, complemented
12#23777799C212yesmaximal, complemented
13#23777798C211yesmaximal, characteristic, complemented
14#23777797C214yesmaximal, complemented
15#23777796C212yesmaximal, complemented
16#23777795C214yesmaximal, complemented
17#23777794C212yesmaximal, complemented
18#23777546C212yesmaximal, complemented
19#23777545C211yesmaximal, characteristic, complemented
20#23777405C212yesmaximal, complemented
21#23777404C211yesmaximal, characteristic, complemented
22#23777402C212yesmaximal, complemented
23#23777399C212yesmaximal, complemented
24#23777399C212yesmaximal, complemented
25#23777398C211yesmaximal, characteristic, complemented
26#23777224C211yesmaximal, characteristic, complemented
27#23777223C212yesmaximal, complemented
28#23777220C212yesmaximal, complemented
29C79×#3559C211yesmaximal, characteristic, complemented
30C79⋊#564C2211yescharacteristic
31#19099317C2211yescharacteristic
32#19099317C2212yes—
33#19099316C2212yes—
34#19099315C2212yes—
35#19099315C2212yes—
36#19099315C2214yes—
37#19099315C2214yes—
38#19099314C2212yes—
39#19099314C2214yes—
40#19099313C2211yescharacteristic
41#19099312C2214yes—
42#19099311C2212yes—
43#19099310C2214yes—
44#19099310C2214yes—
45#19099310C2212yes—
46#19099310C2214yes—
47#19099310C2214yes—
48#19099309C2214yes—
49#19099309C2214yes—
50#19099309C2214yes—
51#19099308C2212yes—
52#19099308C2214yes—
53#19099307C2211yescharacteristic
54#19099307C2212yes—
55#19099307C2212yes—
56#19099291C2211yescharacteristic
57#19099290C2212yes—
58#19099290C2212yes—
59#19099290C2212yes—
60#19099288C2211yescharacteristic
61#19099288C2212yes—
62#19099274C2212yes—
63#19099274C2212yes—
64#19099272C2212yes—
65#19099272C2212yes—
66#19099271C2214yes—
67#19099271C2214yes—
68#19099271C2214yes—
69#19099270C2212yes—
70#19099269C2212yes—
71#19099269C2212yes—
72#19099269C2212yes—
73#19099269C2212yes—
74#19099268C2214yes—
75#19099268C2214yes—
76#19099268C2214yes—
77#19099267C2214yes—
78#19099267C2214yes—
79#19099267C2214yes—
80#19099267C2214yes—
81#19099266C2212yes—
82#19099265C2212yes—
83#19099264C2214yes—
84#19099264C2214yes—
85#19099264C2214yes—
86#19099262C2214yes—
87#19099262C2214yes—
88#19099262C2214yes—
89#19099261C2212yes—
90#19099261C2212yes—
91#19099260C2212yes—
92#19099259C2212yes—
93#19099258C2214yes—
94#19099258C2214yes—
95#19099258C2214yes—
96#19099257C2212yes—
97#19099257C2212yes—
98#19099256C2214yes—
99#19099235C2211yescharacteristic
100#19099234C2212yes—
101#19099234C2212yes—
102#19099234C2212yes—
103#19099234C2211yescharacteristic
104#19099234C2212yes—
105#19099233C2211yescharacteristic
106#19099233C2212yes—
107#19099233C2211yescharacteristic
108#19099232C2214yes—
109#19099232C2212yes—
110#19099231C2212yes—
111#19099231C2214yes—
112#19099231C2214yes—
113#19099231C2214yes—
114#19099231C2212yes—
115#19099231C2212yes—
116#19099231C2212yes—
117#19099218C2214yes—
118#19099218C2212yes—
119#19099217C2214yes—
120#19099217C2212yes—
121#19099217C2211yescharacteristic
122#19099216C2214yes—
123#19099216C2211yescharacteristic
124#19099215C2214yes—
125#19099215C2214yes—
126#19099215C2212yes—
127#19099215C2214yes—
128#19099214C2214yes—
129#19099214C2214yes—
130#19099214C2212yes—
131#19099214C2212yes—
132#19099213C2214yes—
133#19099213C2212yes—
134#19099212C2214yes—
135#19099212C2212yes—
136#19099211C2214yes—
137#19099211C2214yes—
138#19099211C2214yes—
139#19099211C2214yes—
140#19099211C2214yes—
141#19099211C2214yes—
142#19099211C2214yes—
143#19099194C2211yescharacteristic
144#19099194C2211yescharacteristic
145#19099193C2212yes—
146#19099193C2214yes—
147#19099193C2212yes—
148#19099193C2212yes—
149#19099192C2214yes—
150#19099192C2214yes—
151#19099191C2212yes—
152#19099190C2214yes—
153#19099190C2212yes—
154#19099169C2212yes—
155#19099169C2212yes—
156#19099168C2212yes—
157#19099166C2212yes—
158#19099166C2212yes—
159#19099166C2212yes—
160#19099166C2212yes—
161#19099165C2214yes—
162#19099165C2214yes—
163#19099165C2214yes—
164#19099165C2214yes—
165#19099165C2214yes—
166#19099165C2214yes—
167#19099164C2212yes—
168#19099164C2212yes—
169#19099163C2214yes—
170#19099163C2214yes—
171#19099163C2214yes—
172#19099163C2214yes—
173#19099162C2214yes—
174#19099161C2214yes—
175#19099161C2214yes—
176#19099161C2214yes—
177#19099160C2212yes—
178#19099159C2214yes—
179#19099157C2214yes—
180#19099157C2214yes—
181#19099156C2214yes—
182#19099156C2214yes—
183#19099155C2214yes—
184#19099155C2214yes—
185#19099154C2214yes—
186#19099154C2214yes—
187#19099144C2212yes—
188#19099144C2214yes—
189#19099143C2214yes—
190#19099143C2214yes—
191#19099143C2214yes—
192#19099143C2214yes—
193#19099142C2214yes—
194#19099142C2214yes—
195#19099142C2214yes—
196#19099142C2214yes—
197#19099141C2214yes—
198#19099141C2214yes—
199#19099140C2214yes—
200#19099140C2214yes—
201#19099140C2214yes—
202#19099120C2211yescharacteristic
203#19099119C2212yes—
204#19099118C2214yes—
205#19099117C2212yes—
206#19099116C2212yes—
207#19099115C2214yes—
208#19099114C2212yes—
209#19099113C2211yescharacteristic
210#19099112C2212yes—
211#19099112C2212yes—
212#19099110C2214yes—
213#19099110C2214yes—
214#19099110C2212yes—
215#19099109C2214yes—
216#19099108C2212yes—
217#19099108C2212yes—
218#19099108C2214yes—
219#19099099C2214yes—
220#19099098C2212yes—
221#19099097C2211yescharacteristic
222#19099096C2214yes—
223#19099096C2214yes—
224#19099095C2212yes—
225#19099093C2212yes—
226#19099093C2212yes—
227#19099092C2212yes—
228#19099091C2212yes—
229#19099090C2214yes—
230C2×#14579152C2212yes—
231C2×#14579151C2214yes—
232#125×D79C2212yes—
233#125×D79C2214yes—
234#125×D79C2212yes—
235#19099044C2211yescharacteristic
236#19099044C2212yes—
237#19099044C2211yescharacteristic
238#19099043C2212yes—
239#19099042C2212yes—
240#19099042C2212yes—
241C4×#11929624C2211yescharacteristic
242#19099031C2212yes—
243C4×#11929623C2212yes—
244#563×C79C2212yes—
245#562×C79C2212yes—
246#554×C79C2212yes—
247#553×C79C2212yes—
248#553×C79C2212yes—
249#547×C79C2214yes—
250#547×C79C2212yes—
251#544×C79C2212yes—
252#540×C79C2212yes—
253#539×C79C2212yes—
254#539×C79C2214yes—
255#537×C79C2212yes—
256#532×C79C2211yescharacteristic
257#529×C79C2211yescharacteristic
258C2×#125×C79C2211yescharacteristic
259C2×#11929625C2312yes—
260C2×#11929625C2314yes—
261C2×#11929625C2312yes—
262C2×#11929624C2312yes—
263C2×#11929624C2311yescharacteristic
264C2×#11929624C2314yes—
265C2×#11929624C2314yes—
266C2×#11929624C2312yes—
267C2×#11929624C2314yes—
268C2×#11929624C2314yes—
269C2×#11929624C2314yes—
270C2×#11929624C2314yes—
271C2×#11929623C2312yes—
272C2×#11929623C2312yes—
273C2×#11929623C2312yes—
274C2×#11929623C2314yes—
275C2×#11929623C2314yes—
276C2×#11929623C2314yes—
277C2×#11929623C2314yes—
278#14579161C2314yes—
279#14579161C2311yescharacteristic
280#14579161C2311yescharacteristic
281#14579161C2311yescharacteristic
282#14579160C2312yes—
283#14579160C2312yes—
284#14579160C2312yes—
285#14579160C2312yes—
286#14579160C2312yes—
287#14579160C2314yes—
288#14579160C2314yes—
289#14579160C2314yes—
290#14579160C2312yes—
291#14579160C2314yes—
292#14579160C2312yes—
293#14579160C2312yes—
294#14579159C2312yes—
295#14579159C2314yes—
296#14579159C2314yes—
297#14579159C2312yes—
298#14579159C2312yes—
299#14579158C2312yes—
300#14579158C2311yescharacteristic
301#14579157C2312yes—
302#14579157C2314yes—
303#14579157C2314yes—
304#14579157C2314yes—
305#14579157C2312yes—
306#14579157C2312yes—
307#14579157C2314yes—
308#14579157C2312yes—
309#14579157C2312yes—
310#14579156C2312yes—
311#14579156C2314yes—
312#14579156C2314yes—
313#14579156C2314yes—
314#14579156C2314yes—
315#14579156C2312yes—
316#14579156C2312yes—
317#14579155C2314yes—
318#14579155C2314yes—
319#14579155C2312yes—
320#14579154C2312yes—
321#14579154C2314yes—
322#14579154C2312yes—
323#14579154C2312yes—
324#14579154C2314yes—
325#14579154C2312yes—
326#14579154C2312yes—
327#14579153C2314yes—
328#14579153C2312yes—
329#14579153C2311yescharacteristic
330#14579153C2311yescharacteristic
331#14579153C2311yescharacteristic
332#14579152C2312yes—
333#14579152C2314yes—
334#14579152C2312yes—
335#14579152C2312yes—
336#14579152C2312yes—
337#14579152C2312yes—
338#14579152C2312yes—
339#14579152C2312yes—
340#14579152C2312yes—
341#14579152C2312yes—
342#14579152C2312yes—
343#14579152C2314yes—
344#14579152C2312yes—
345#14579151C2314yes—
346#14579151C2314yes—
347#14579151C2314yes—
348#14579151C2314yes—
349#14579151C2314yes—
350#14579151C2314yes—
351#14579151C2314yes—
352#14579151C2314yes—
353#14579151C2314yes—
354#14579151C2314yes—
355#14579151C2314yes—
356#14579151C2314yes—
357#14579151C2314yes—
358#14579151C2312yes—
359#14579151C2314yes—
360#14579151C2312yes—
361#14579151C2312yes—
362#14579151C2312yes—
363#14579151C2312yes—
364#14579150C2314yes—
365#14579149C2312yes—
366#14579149C2311yescharacteristic
367#14579148C2312yes—
368#14579147C2314yes—
369#14579147C2312yes—
370#14579147C2312yes—
371#14579147C2314yes—
372#14579147C2312yes—
373#14579147C2314yes—
374#14579146C2314yes—
375#14579146C2314yes—
376#14579146C2314yes—
377#14579146C2314yes—
378#14579146C2314yes—
379#14579146C2314yes—
380#14579146C2314yes—
381#14579146C2314yes—
382#14579146C2314yes—
383#14579146C2314yes—
384#14579146C2314yes—
385#14579146C2312yes—
386#14579146C2314yes—
387#14579145C2314yes—
388#14579145C2314yes—
389#14579145C2314yes—
390#14579145C2314yes—
391#14579145C2312yes—
392#14579145C2312yes—
393#14579145C2314yes—
394#14579145C2314yes—
395#14579144C2314yes—
396#14579144C2314yes—
397#14579144C2314yes—
398#14579144C2312yes—
399#14579144C2314yes—
400#14579143C2314yes—
401#14579143C2314yes—
402#14579143C2314yes—
403#14579143C2314yes—
404#14579143C2314yes—
405#14579143C2314yes—
406#14579143C2314yes—
407#14579143C2312yes—
408#14579143C2314yes—
409#14579143C2312yes—
410#14579143C2312yes—
411#14579143C2314yes—
412#14579143C2314yes—
413#14579142C2314yes—
414#14579142C2314yes—
415#14579142C2312yes—
416#14579142C2312yes—
417#14579141C2314yes—
418#14579141C2314yes—
419#14579141C2314yes—
420#14579141C2314yes—
421#14579141C2312yes—
422#14579141C2314yes—
423#14579141C2314yes—
424#14579141C2314yes—
425#14579141C2312yes—
426#14579141C2312yes—
427#14579140C2312yes—
428#14579140C2314yes—
429#14579140C2314yes—
430#14579140C2314yes—
431#14579140C2312yes—
432#14579140C2314yes—
433#14579140C2314yes—
434#14579140C2311yescharacteristic
435#14579139C2314yes—
436#14579139C2314yes—
437#14579139C2314yes—
438#14579139C2314yes—
439#14579139C2314yes—
440#14579139C2314yes—
441#14579139C2312yes—
442#14579139C2312yes—
443#14579139C2314yes—
444#14579139C2314yes—
445#14579139C2314yes—
446#14579139C2314yes—
447#14579139C2314yes—
448#14579139C2314yes—
449#14579139C2312yes—
450#14579138C2312yes—
451#14579138C2312yes—
452#14579138C2314yes—
453#14579138C2314yes—
454#14579138C2314yes—
455#14579138C2314yes—
456#14579138C2312yes—
457#14579138C2312yes—
458#14579138C2314yes—
459#14579138C2314yes—
460#14579138C2314yes—
461#14579138C2314yes—
462#14579138C2312yes—
463#14579138C2314yes—
464#14579138C2312yes—
465#14579137C2314yes—
466#14579137C2314yes—
467#14579137C2314yes—
468#14579137C2314yes—
469#14579137C2312yes—
470#14579137C2314yes—
471#14579137C2312yes—
472#14579136C2314yes—
473#14579136C2314yes—
474#14579136C2314yes—
475#14579136C2312yes—
476#14579136C2314yes—
477#14579136C2314yes—
478#14579136C2314yes—
479#14579136C2314yes—
480#14579136C2312yes—
481#14579136C2312yes—
482#14579136C2312yes—
483#14579135C2314yes—
484#14579135C2314yes—
485#14579135C2314yes—
486#14579135C2312yes—
487#14579135C2314yes—
488#14579135C2314yes—
489#14579135C2314yes—
490#14579135C2314yes—
491#14579135C2311yescharacteristic
492#14579135C2312yes—
493#14579135C2312yes—
494#14579135C2312yes—
495#14579134C2314yes—
496#14579134C2314yes—
497#14579134C2314yes—
498#14579134C2314yes—
499#14579134C2314yes—
500#14579134C2314yes—
501#14579134C2314yes—
502#14579134C2314yes—
503#14579134C2314yes—
504#14579134C2314yes—
505#14579134C2314yes—
506#14579134C2314yes—
507#14579134C2314yes—
508#14579134C2312yes—
509#14579134C2314yes—
510#14579134C2314yes—
511#14579134C2314yes—
512#14579134C2314yes—
513#14579134C2314yes—
514#14579134C2314yes—
515#14579133C2314yes—
516#14579133C2314yes—
517#14579133C2314yes—
518#14579133C2312yes—
519#14579133C2314yes—
520#14579133C2314yes—
521#14579133C2314yes—
522#14579133C2314yes—
523#14579133C2312yes—
524#14579133C2314yes—
525#14579133C2314yes—
526#14579133C2314yes—
527#14579133C2314yes—
528#14579133C2314yes—
529#14579133C2314yes—
530#14579133C2314yes—
531#14579133C2314yes—
532#14579132C2314yes—
533#14579132C2314yes—
534#14579132C2314yes—
535#14579132C2314yes—
536#14579132C2314yes—
537#14579132C2314yes—
538#14579132C2312yes—
539#14579132C2312yes—
540#14579132C2312yes—
541Q8×Dic79C2312yes—
542Q8×Dic79C2314yes—
543C4×Dic158C2311yescharacteristic
544C4×Dic158C2312yes—
545C4×Dic158C2311yescharacteristic
546C4×Dic158C2312yes—
547C4×Dic158C2312yes—
548C4×Dic158C2312yes—
549C4×Dic158C2312yes—
550C4×Dic158C2311yescharacteristic
551#14579126C2312yes—
552#14579126C2314yes—
553#14579126C2314yes—
554#14579126C2314yes—
555#14579126C2312yes—
556#14579126C2312yes—
557#14579126C2312yes—
558C4×D316C2314yes—
559C4×D316C2314yes—
560C4×D316C2312yes—
561C4×D316C2311yescharacteristic
562C4×D316C2312yes—
563C4×D316C2311yescharacteristic
564C4×D316C2312yes—
565C4×D316C2311yescharacteristic
566D4×Dic79C2314yes—
567D4×Dic79C2312yes—
568D4×Dic79C2312yes—
569D4×Dic79C2312yes—
570D4×Dic79C2312yes—
571#14579123C2314yes—
572#14579123C2314yes—
573#14579123C2312yes—
574#14579123C2312yes—
575#14579123C2312yes—
576#14579123C2312yes—
577#14579123C2312yes—
578#14579123C2312yes—
579#14579123C2312yes—
580#14579123C2314yes—
581C4×C22⋊D79C2314yes—
582C4×C22⋊D79C2314yes—
583C4×C22⋊D79C2314yes—
584C4×C22⋊D79C2312yes—
585C4×C22⋊D79C2314yes—
586C4×C22⋊D79C2314yes—
587C4×C22⋊D79C2314yes—
588C4×C22⋊D79C2312yes—
589C4×C22⋊D79C2314yes—
590C4×C22⋊D79C2314yes—
591C4×C22⋊D79C2314yes—
592C4×C22⋊D79C2314yes—
593C4×C22⋊D79C2312yes—
594C4×C22⋊D79C2312yes—
595C4×C22⋊D79C2312yes—
596(C22⋊D79)⋊C4C2314yes—
597(C22⋊D79)⋊C4C2314yes—
598(C22⋊D79)⋊C4C2314yes—
599(C22⋊D79)⋊C4C2314yes—
600(C22⋊D79)⋊C4C2314yes—
601(C22⋊D79)⋊C4C2314yes—
602(C22⋊D79)⋊C4C2314yes—
603(C22⋊D79)⋊C4C2314yes—
604(C22⋊D79)⋊C4C2314yes—
605(C22⋊D79)⋊C4C2314yes—
606(C22⋊D79)⋊C4C2314yes—
607(C22⋊D79)⋊C4C2314yes—
608(C22⋊D79)⋊C4C2314yes—
609(C22⋊D79)⋊C4C2314yes—
610#14579120C2312yes—
611#14579120C2311yescharacteristic
612#14579120C2311yescharacteristic
613#14579120C2311yescharacteristic
614#14579119C2314yes—
615#14579119C2312yes—
616#14579119C2314yes—
617#14579119C2312yes—
618#14579119C2312yes—
619#14579118C2312yes—
620#14579118C2312yes—
621#14579118C2314yes—
622#14579118C2312yes—
623#14579117C2314yes—
624#14579117C2314yes—
625#14579117C2314yes—
626C2×C4⋊Dic79C2314yes—
627C2×C4⋊Dic79C2314yes—
628C2×C4⋊Dic79C2312yes—
629C2×Dic79⋊C4C2314yes—
630C2×Dic79⋊C4C2314yes—
631C2×Dic79⋊C4C2314yes—
632C2×Dic79⋊C4C2314yes—
633C2×Dic79⋊C4C2314yes—
634C4⋊C4×D79C2314yes—
635C4⋊C4×D79C2314yes—
636C4⋊C4×D79C2314yes—
637C4⋊C4×D79C2314yes—
638C4⋊C4×D79C2314yes—
639C4⋊C4×D79C2314yes—
640C4⋊C4×D79C2314yes—
641C4⋊C4×D79C2314yes—
642C4⋊C4×D79C2314yes—
643C4⋊C4×D79C2312yes—
644C4⋊C4×D79C2312yes—
645C4⋊C4×D79C2314yes—
646C4⋊C4×D79C2312yes—
647C4⋊C4×D79C2312yes—
648C2×C4×Dic79C2314yes—
649C2×C4×Dic79C2312yes—
650C42×D79C2312yes—
651C42×D79C2314yes—
652C42×D79C2312yes—
653C2×#41×C79C2312yes—
654C2×#41×C79C2314yes—
655C4⋊Q8×C79C2314yes—
656C4⋊Q8×C79C2312yes—
657C4⋊Q8×C79C2311yescharacteristic
658#127×C79C2311yescharacteristic
659#126×C79C2314yes—
660#126×C79C2314yes—
661#126×C79C2312yes—
662#125×C79C2312yes—
663#125×C79C2314yes—
664#125×C79C2312yes—
665#125×C79C2312yes—
666#125×C79C2312yes—
667#125×C79C2312yes—
668#125×C79C2311yescharacteristic
669#124×C79C2311yescharacteristic
670#124×C79C2312yes—
671#123×C79C2314yes—
672#123×C79C2314yes—
673#123×C79C2314yes—
674#123×C79C2314yes—
675#123×C79C2312yes—
676#123×C79C2314yes—
677#123×C79C2314yes—
678C22⋊Q8×C79C2314yes—
679C22⋊Q8×C79C2314yes—
680C22⋊Q8×C79C2314yes—
681C22⋊Q8×C79C2314yes—
682C22⋊Q8×C79C2314yes—
683C22⋊Q8×C79C2311yescharacteristic
684C22⋊Q8×C79C2314yes—
685#121×C79C2314yes—
686#121×C79C2314yes—
687#121×C79C2314yes—
688#121×C79C2312yes—
689#121×C79C2314yes—
690#121×C79C2312yes—
691#121×C79C2312yes—
692#121×C79C2312yes—
693#121×C79C2311yescharacteristic
694C4×Q8×C79C2311yescharacteristic
695C4×D4×C79C2314yes—
696C4×D4×C79C2314yes—
697C4×D4×C79C2312yes—
698C4×D4×C79C2312yes—
699C4×D4×C79C2312yes—
700C4×D4×C79C2311yescharacteristic
701C4×D4×C79C2312yes—
702C4×D4×C79C2312yes—
703#117×C79C2312yes—
704#117×C79C2312yes—
705C2×C4⋊C4×C79C2312yes—
706C2×C4⋊C4×C79C2314yes—
707C2×C4⋊C4×C79C2311yescharacteristic
708C2×C4⋊C4×C79C2311yescharacteristic
709C2×C4⋊C4×C79C2312yes—
710C2×C4⋊C4×C79C2312yes—
711C2×C42×C79C2311yescharacteristic
712#11929625—82no—
713#11929625—82no—
714#11929625—84no—
715#11929624—28no—
716#11929624—24no—
717#11929624—84no—
718#11929624—84no—
719#11929624—84no—
720#11929624—84no—
721#11929624—84no—
722#11929624—82no—
723#11929624—84no—
724#11929623—28no—
725#11929623—82no—
726#11929623—84no—
727#11929623—84no—
728#11929623—84no—
729#11929623—82no—
730#11929623—84no—
731C2×Dic158C2411yescharacteristic
732C2×Dic158C2412yes—
733C2×Dic158C2412yes—
734C2×Dic158C2414yes—
735C2×Dic158C2414yes—
736C2×Dic158C2414yes—
737C2×Dic158C2412yes—
738C2×Dic158C2412yes—
739C2×Dic158C2412yes—
740C2×Dic158C2411yescharacteristic
741C2×D316C2412yes—
742C2×D316C2411yescharacteristic
743C2×D316C2414yes—
744C2×D316C2412yes—
745C2×D316C2414yes—
746C2×D316C2412yes—
747C2×D316C2414yes—
748C2×D316C2414yes—
749C2×D316C2414yes—
750C2×D316C2411yescharacteristic
751C2×C22⋊D79C2414yes—
752C2×C22⋊D79C2414yes—
753C2×C22⋊D79C2412yes—
754C2×C22⋊D79C2414yes—
755C2×C22⋊D79C2412yes—
756C2×C22⋊D79C2414yes—
757C2×C22⋊D79C2414yes—
758C2×C22⋊D79C2414yes—
759C2×C22⋊D79C2414yes—
760C2×C22⋊D79C2414yes—
761C2×C22⋊D79C2414yes—
762C2×C22⋊D79C2414yes—
763C2×C22⋊D79C2412yes—
764C2×C22⋊D79C2414yes—
765C2×C22⋊D79C2414yes—
766C2×C22⋊D79C2412yes—
767C22×Dic79C2414yes—
768C22×Dic79C2412yes—
769C22×Dic79C2414yes—
770C22×Dic79C2412yes—
771C22×Dic79C2414yes—
772C22×Dic79C2414yes—
773C22×Dic79C2414yes—
774C2×C4×D79C2412yes—
775C2×C4×D79C2414yes—
776C2×C4×D79C2412yes—
777C2×C4×D79C2414yes—
778C2×C4×D79C2414yes—
779C2×C4×D79C2414yes—
780C2×C4×D79C2414yes—
781C2×C4×D79C2412yes—
782C2×C4×D79C2412yes—
783C2×C4×D79C2412yes—
784C2×C4×D79C2414yes—
785C2×C4×D79C2414yes—
786C2×C4×D79C2414yes—
787C2×C4×D79C2414yes—
788C2×C4×D79C2414yes—
789C2×C4×D79C2414yes—
790C2×C4×D79C2412yes—
791C4⋊Dic79C2411yescharacteristic
792C4⋊Dic79C2411yescharacteristic
793C4⋊Dic79C2412yes—
794C4⋊Dic79C2411yescharacteristic
795C4⋊Dic79C2414yes—
796C4⋊Dic79C2412yes—
797C4⋊Dic79C2412yes—
798C4⋊Dic79C2412yes—
799C4⋊Dic79C2414yes—
800C4⋊Dic79C2414yes—
801C4⋊Dic79C2414yes—
802C4⋊Dic79C2414yes—
803C4⋊Dic79C2414yes—
804C4⋊Dic79C2411yescharacteristic
805C4⋊Dic79C2414yes—
806C4⋊Dic79C2412yes—
807C4⋊Dic79C2412yes—
808C4⋊Dic79C2411yescharacteristic
809C4⋊Dic79C2412yes—
810C4⋊Dic79C2411yescharacteristic
811C4⋊Dic79C2411yescharacteristic
812C4⋊Dic79C2411yescharacteristic
813C4⋊Dic79C2412yes—
814Dic79⋊C4C2414yes—
815Dic79⋊C4C2412yes—
816Dic79⋊C4C2414yes—
817Dic79⋊C4C2414yes—
818Dic79⋊C4C2412yes—
819Dic79⋊C4C2412yes—
820Dic79⋊C4C2412yes—
821Dic79⋊C4C2412yes—
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⋊C4C2412yes—
836Dic79⋊C4C2412yes—
837Dic79⋊C4C2412yes—
838Dic79⋊C4C2414yes—
839Dic79⋊C4C2412yes—
840Dic79⋊C4C2412yes—
841Dic79⋊C4C2412yes—
842Dic79⋊C4C2412yes—
843Dic79⋊C4C2412yes—
844Dic79⋊C4C2412yes—
845Dic79⋊C4C2412yes—
846Dic79⋊C4C2412yes—
847Dic79⋊C4C2412yes—
848Dic79⋊C4C2412yes—
849C22⋊Dic79C2414yes—
850C22⋊Dic79C2414yes—
851C22⋊Dic79C2414yes—
852C22⋊Dic79C2412yes—
853C22⋊Dic79C2412yes—
854C22⋊Dic79C2412yes—
855C22⋊Dic79C2412yes—
856C22⋊Dic79C2412yes—
857C22⋊Dic79C2412yes—
858C22⋊Dic79C2412yes—
859C22⋊Dic79C2414yes—
860C22⋊Dic79C2412yes—
861(C2×D79)⋊C4C2412yes—
862(C2×D79)⋊C4C2412yes—
863(C2×D79)⋊C4C2414yes—
864(C2×D79)⋊C4C2414yes—
865(C2×D79)⋊C4C2412yes—
866(C2×D79)⋊C4C2412yes—
867(C2×D79)⋊C4C2412yes—
868(C2×D79)⋊C4C2412yes—
869(C2×D79)⋊C4C2414yes—
870(C2×D79)⋊C4C2414yes—
871(C2×D79)⋊C4C2414yes—
872(C2×D79)⋊C4C2414yes—
873(C2×D79)⋊C4C2414yes—
874(C2×D79)⋊C4C2414yes—
875(C2×D79)⋊C4C2414yes—
876(C2×D79)⋊C4C2412yes—
877(C2×D79)⋊C4C2414yes—
878(C2×D79)⋊C4C2414yes—
879(C2×D79)⋊C4C2414yes—
880(C2×D79)⋊C4C2414yes—
881(C2×D79)⋊C4C2414yes—
882(C2×D79)⋊C4C2414yes—
883(C2×D79)⋊C4C2412yes—
884(C2×D79)⋊C4C2412yes—
885(C2×D79)⋊C4C2412yes—
886C4×Dic79C2412yes—
887C4×Dic79C2412yes—
888C4×Dic79C2412yes—
889C4×Dic79C2412yes—
890C4×Dic79C2414yes—
891C4×Dic79C2414yes—
892C4×Dic79C2412yes—
893C4×Dic79C2412yes—
894C4×Dic79C2412yes—
895C4×Dic79C2414yes—
896C4×Dic79C2414yes—
897C4×Dic79C2412yes—
898C4×Dic79C2412yes—
899C4×Dic79C2412yes—
900C4×Dic79C2414yes—
901#41×C79—82no—
902#41×C79—84no—
903C2×Q8×C79C2411yescharacteristic
904C2×Q8×C79C2414yes—
905C2×Q8×C79C2412yes—
906C2×D4×C79C2412yes—
907C2×D4×C79C2414yes—
908C2×D4×C79C2411yescharacteristic
909C2×D4×C79C2412yes—
910C2×D4×C79C2414yes—
911C2×D4×C79C2412yes—
912C2×D4×C79C2414yes—
913C2×D4×C79C2412yes—
914C22×C4×C79C2411yescharacteristic
915C22×C4×C79C2412yes—
916C22×C4×C79C2411yescharacteristic
917C22×C4×C79C2412yes—
918C22×C4×C79C2414yes—
919C22×C4×C79C2414yes—
920C22×C4×C79C2414yes—
921C22×C4×C79C2414yes—
922C22×C4×C79C2411yescharacteristic
923C22×C4×C79C2412yes—
924C4⋊C4×C79C2412yes—
925C4⋊C4×C79C2414yes—
926C4⋊C4×C79C2412yes—
927C4⋊C4×C79C2412yes—
928C4⋊C4×C79C2412yes—
929C4⋊C4×C79C2414yes—
930C4⋊C4×C79C2414yes—
931C4⋊C4×C79C2414yes—
932C4⋊C4×C79C2414yes—
933C4⋊C4×C79C2412yes—
934C4⋊C4×C79C2414yes—
935C4⋊C4×C79C2414yes—
936C4⋊C4×C79C2412yes—
937C4⋊C4×C79C2412yes—
938C4⋊C4×C79C2412yes—
939C4⋊C4×C79C2412yes—
940C4⋊C4×C79C2414yes—
941C4⋊C4×C79C2412yes—
942C4⋊C4×C79C2411yescharacteristic
943C4⋊C4×C79C2411yescharacteristic
944C22⋊C4×C79C2412yes—
945C22⋊C4×C79C2414yes—
946C22⋊C4×C79C2412yes—
947C22⋊C4×C79C2412yes—
948C22⋊C4×C79C2412yes—
949C22⋊C4×C79C2414yes—
950C22⋊C4×C79C2414yes—
951C22⋊C4×C79C2414yes—
952C22⋊C4×C79C2414yes—
953C22⋊C4×C79C2414yes—
954C22⋊C4×C79C2414yes—
955C22⋊C4×C79C2412yes—
956C42×C79C2411yescharacteristic
957C42×C79C2411yescharacteristic
958C42×C79C2411yescharacteristic
959C42×C79C2411yescharacteristic
960C42×C79C2412yes—
961C42×C79C2414yes—
962C23×C79C2511yescharacteristic
963C23×C79C2512yes—
964C23×C79C2514yes—
965C22×D79C2512yes—
966C22×D79C2512yes—
967C22×D79C2514yes—
968Q8×C79—41no—
969Q8×C79—44no—
970Q8×C79—42no—
971D4×C79—24no—
972D4×C79—44no—
973D4×C79—42no—
974D4×C79—41no—
975D4×C79—44no—
976D4×C79—42no—
977D4×C79—42no—
978D4×C79—44no—
979C2×C4×C79—22no—
980C2×C4×C79—24no—
981C2×C4×C79—42no—
982C2×C4×C79—44no—
983C2×C4×C79—41no—
984C2×C4×C79—44no—
985C2×C4×C79—44no—
986C2×C4×C79—44no—
987C2×C4×C79—41no—
988C2×C4×C79—42no—
989C2×C4×C79C2512yes—
990C2×C4×C79C2512yes—
991C2×C4×C79C2511yescharacteristic
992C2×C4×C79C2511yescharacteristic
993C2×C4×C79C2514yes—
994C2×C4×C79C2511yescharacteristic
995C2×C4×C79C2514yes—
996C2×C4×C79C2514yes—
997C2×C4×C79C2512yes—
998C2×C4×C79C2511yescharacteristic
999C2×C4×C79C2511yescharacteristic
1000C2×C4×C79C2511yescharacteristic
1001C22⋊D79—28no—
1002C22⋊D79—28no—
1003C22⋊D79—24no—
1004C22⋊D79—42no—
1005C22⋊D79—44no—
1006C22⋊D79—44no—
1007C22⋊D79—44no—
1008C22⋊D79—44no—
1009C22⋊D79—44no—
1010C22⋊D79—44no—
1011C22⋊D79—44no—
1012C22⋊D79—44no—
1013C22⋊D79—42no—
1014C22⋊D79—42no—
1015C22⋊D79—44no—
1016C22⋊D79—44no—
1017C2×Dic79—28no—
1018C2×Dic79—42no—
1019C2×Dic79—42no—
1020C2×Dic79—44no—
1021C2×Dic79—44no—
1022C2×Dic79—44no—
1023C2×Dic79—44no—
1024C2×Dic79C2512yes—
1025C2×Dic79C2512yes—
1026C2×Dic79C2512yes—
1027C2×Dic79C2512yes—
1028C2×Dic79C2512yes—
1029C2×Dic79C2514yes—
1030C2×Dic79C2512yes—
1031C2×Dic79C2512yes—
1032C2×Dic79C2512yes—
1033C2×Dic79C2512yes—
1034C2×Dic79C2512yes—
1035D316—24no—
1036D316—22no—
1037D316—42no—
1038D316—44no—
1039D316—44no—
1040D316—44no—
1041D316—44no—
1042D316—42no—
1043D316—44no—
1044D316—41no—
1045C4×D79—24no—
1046C4×D79—28no—
1047C4×D79—24no—
1048C4×D79—44no—
1049C4×D79—44no—
1050C4×D79—44no—
1051C4×D79—44no—
1052C4×D79—42no—
1053C4×D79—42no—
1054C4×D79—44no—
1055C4×D79—44no—
1056C4×D79—42no—
1057C4×D79—44no—
1058C4×D79—44no—
1059C4×D79—44no—
1060C4×D79—44no—
1061C4×D79—42no—
1062Dic158—42no—
1063Dic158—41no—
1064Dic158—44no—
1065Dic158—44no—
1066Dic158—44no—
1067Dic158—42no—
1068Dic158—42no—
1069Dic158—42no—
1070Dic158—42no—
1071Dic1582−1+414yes—
1072C22×C79—21no—
1073C22×C79—22no—
1074C22×C79—24no—
1075C22×C79—21no—
1076C22×C79—24no—
1077C22×C79—22no—
1078C22×C79—24no—
1079C22×C79—22no—
1080C22×C79—21no—
1081C22×C79C2611yescharacteristic
1082C2×D79—22no—
1083C2×D79—22no—
1084C2×D79—24no—
1085C2×D79—22no—
1086C2×D79—22no—
1087C2×D79—24no—
1088C2×D79—24no—
1089C2×D79—22no—
1090C2×D79—22no—
1091C4×C79—21no—
1092C4×C79—22no—
1093C4×C79—21no—
1094C4×C79—24no—
1095C4×C79—22no—
1096C4×C79—24no—
1097C4×C79—24no—
1098C4×C79—22no—
1099C4×C79—21no—
1100C4×C79—21no—
1101C4×C79—21no—
1102C4×C79C2×2−1+412yes—
1103Dic79—22no—
1104Dic79—22no—
1105Dic79—22no—
1106Dic79—22no—
1107Dic79—22no—
1108Dic79—22no—
1109Dic79—22no—
1110Dic79—22no—
1111Dic79—24no—
1112Dic79—22no—
1113Dic79C2×2−1+414yes—
1114#63070—791nomaximal, Sylow
1115C2×C79—41no—
1116C2×C79—42no—
1117C2×C79—44no—
1118C2×C79C22×2−1+411yescharacteristic
1119C2×C79H(7,𝔽2)11yescharacteristic
1120C2×C79H(7,𝔽2)11yescharacteristic
1121D79—42no—
1122D79—42no—
1123D79—44no—
1124#3559—792no—
1125#3559—792no—
1126#3559—792no—
1127#3559—792no—
1128#3559—794no—
1129#3559—792no—
1130#3559—792no—
1131#3559—794no—
1132#3559—794no—
1133#3559—794no—
1134#3559—791no—
1135#3559D7911yescharacteristic, complemented
1136#3548—792no—
1137#3548—792no—
1138#3548—794no—
1139#3548—792no—
1140#3548—794no—
1141#3548—791no—
1142#3531—792no—
1143#3531—791no—
1144#3517—792no—
1145#3517—792no—
1146#3517—792no—
1147#3517—792no—
1148#3517—791no—
1149#3517—791no—
1150#3504—792no—
1151#3504—792no—
1152#3504—791no—
1153C79#6307011yescharacteristic, complemented, Sylow
1154#564—791no—
1155#563—794no—
1156#563—794no—
1157#563—792no—
1158#563—794no—
1159#563—792no—
1160#563—792no—
1161#563—791no—
1162#563—791no—
1163#563—792no—
1164#563—794no—
1165#563—792no—
1166#563C2×D7912yes—
1167#562—792no—
1168#562—792no—
1169#562—791no—
1170#562—792no—
1171#562—794no—
1172#562—792no—
1173#562—794no—
1174#562—794no—
1175#562—794no—
1176#562—794no—
1177#562—794no—
1178#562—794no—
1179#562—792no—
1180#562—794no—
1181#562C2×D7912yes—
1182#557—792no—
1183#557—791no—
1184#557—792no—
1185#557—792no—
1186#557—792no—
1187#557—791no—
1188#554—792no—
1189#554—792no—
1190#554—792no—
1191#554—792no—
1192#554—792no—
1193#554—792no—
1194#554—794no—
1195#554—794no—
1196#554—794no—
1197#554—794no—
1198#554—794no—
1199#554—794no—
1200#554—794no—
1201#554—792no—
1202#554—792no—
1203#554—792no—
1204#554—794no—
1205#554—794no—
1206#554—794no—
1207#554C2×D7912yes—
1208#553—794no—
1209#553—794no—
1210#553—794no—
1211#553—792no—
1212#553—794no—
1213#553—794no—
1214#553—794no—
1215#553—794no—
1216#553—792no—
1217#553—792no—
1218#553—792no—
1219#553—794no—
1220#553—794no—
1221#553—794no—
1222#553—792no—
1223#553—792no—
1224#553—792no—
1225#553—792no—
1226#553C2×D7912yes—
1227#553C2×D7912yes—
1228#550—794no—
1229#550—792no—
1230#550—791no—
1231#550—792no—
1232#550—791no—
1233#550—792no—
1234#550—792no—
1235#550—792no—
1236#550—792no—
1237#550—794no—
1238#550—794no—
1239#550—794no—
1240#550—791no—
1241#550—791no—
1242#550—792no—
1243#550—792no—
1244#550—792no—
1245#550—792no—
1246#547—792no—
1247#547—794no—
1248#547—791no—
1249#547—794no—
1250#547—794no—
1251#547—794no—
1252#547—794no—
1253#547—794no—
1254#547—794no—
1255#547—794no—
1256#547—794no—
1257#547—794no—
1258#547—792no—
1259#547—794no—
1260#547—794no—
1261#547—792no—
1262#547—794no—
1263#547—791no—
1264#547—794no—
1265#547—792no—
1266#547—794no—
1267#547—792no—
1268#547—792no—
1269#547—792no—
1270#547—794no—
1271#547—794no—
1272#547C2×D7912yes—
1273#547C2×D7914yes—
1274#544—792no—
1275#544—794no—
1276#544—792no—
1277#544—794no—
1278#544—792no—
1279#544—792no—
1280#544—794no—
1281#544—794no—
1282#544—792no—
1283#544—791no—
1284#544—791no—
1285#544C2×D7912yes—
1286#540—792no—
1287#540—792no—
1288#540—794no—
1289#540—794no—
1290#540—794no—
1291#540—794no—
1292#540—794no—
1293#540—794no—
1294#540—794no—
1295#540—794no—
1296#540—794no—
1297#540—794no—
1298#540—792no—
1299#540—792no—
1300#540—792no—
1301#540—792no—
1302#540—792no—
1303#540—792no—
1304#540—792no—
1305#540C2×D7912yes—
1306#539—794no—
1307#539—794no—
1308#539—794no—
1309#539—794no—
1310#539—794no—
1311#539—794no—
1312#539—794no—
1313#539—794no—
1314#539—794no—
1315#539—794no—
1316#539—794no—
1317#539—794no—
1318#539—794no—
1319#539—792no—
1320#539C2×D7914yes—
1321#539C2×D7912yes—
1322#537—794no—
1323#537—794no—
1324#537—794no—
1325#537—794no—
1326#537—794no—
1327#537—794no—
1328#537—794no—
1329#537—794no—
1330#537—794no—
1331#537—794no—
1332#537—794no—
1333#537—794no—
1334#537—794no—
1335#537—794no—
1336#537—792no—
1337#537C2×D7912yes—
1338#533—794no—
1339#533—792no—
1340#533—794no—
1341#533—792no—
1342#533—792no—
1343#533—791no—
1344#532—794no—
1345#532—792no—
1346#532—792no—
1347#532—792no—
1348#532—792no—
1349#532—792no—
1350#532—794no—
1351#532—794no—
1352#532—794no—
1353#532—792no—
1354#532—791no—
1355#532C2×D7911yescharacteristic
1356#529—794no—
1357#529—794no—
1358#529—792no—
1359#529—792no—
1360#529—794no—
1361#529—794no—
1362#529—792no—
1363#529—792no—
1364#529—792no—
1365#529—792no—
1366#529—791no—
1367#529C2×D7911yescharacteristic
1368C2×#125—792no—
1369C2×#125—794no—
1370C2×#125—792no—
1371C2×#125—794no—
1372C2×#125—792no—
1373C2×#125C2×D7911yescharacteristic
1374#520—792no—
1375#520—792no—
1376#520—792no—
1377#520—792no—
1378#520—791no—
1379#520—791no—
1380C4×#41—792no—
1381C4×#41—792no—
1382C4×#41—791no—
1383C2×#41—792no—
1384C2×#41—794no—
1385C2×#41—792no—
1386C2×#41—794no—
1387C2×#41—794no—
1388C2×#41—794no—
1389C2×#41—794no—
1390C2×#41—792no—
1391C2×#41—792no—
1392C2×#41—792no—
1393C2×#41—794no—
1394C2×#41—794no—
1395C2×#41—794no—
1396C2×#41—794no—
1397C2×#41—794no—
1398C2×#41—794no—
1399C2×#41—792no—
1400C2×#41—792no—
1401C2×#41—791no—
1402C2×#41C22×D7914yes—
1403C2×#41C22×D7912yes—
1404C4⋊Q8—792no—
1405C4⋊Q8—794no—
1406C4⋊Q8—792no—
1407C4⋊Q8—794no—
1408C4⋊Q8—792no—
1409C4⋊Q8—794no—
1410C4⋊Q8—794no—
1411C4⋊Q8—794no—
1412C4⋊Q8—792no—
1413C4⋊Q8—792no—
1414C4⋊Q8—792no—
1415C4⋊Q8—794no—
1416C4⋊Q8—792no—
1417C4⋊Q8—792no—
1418C4⋊Q8—792no—
1419C4⋊Q8—792no—
1420C4⋊Q8—792no—
1421C4⋊Q8—791no—
1422C4⋊Q8—794no—
1423C4⋊Q8—791no—
1424C4⋊Q8—791no—
1425C4⋊Q8C22×D7912yes—
1426C4⋊Q8C22×D7911yescharacteristic
1427C4⋊Q8C22×D7914yes—
1428#127—792no—
1429#127—792no—
1430#127—792no—
1431#127—792no—
1432#127—794no—
1433#127—792no—
1434#127—794no—
1435#127—794no—
1436#127—794no—
1437#127—792no—
1438#127—791no—
1439#127C22×D7911yescharacteristic
1440#126—794no—
1441#126—792no—
1442#126—794no—
1443#126—792no—
1444#126—792no—
1445#126—794no—
1446#126—794no—
1447#126—792no—
1448#126—794no—
1449#126—794no—
1450#126—792no—
1451#126—792no—
1452#126—792no—
1453#126—792no—
1454#126—794no—
1455#126—794no—
1456#126—792no—
1457#126C22×D7914yes—
1458#126C22×D7914yes—
1459#126C22×D7912yes—
1460#125—794no—
1461#125—792no—
1462#125—792no—
1463#125—794no—
1464#125—794no—
1465#125—794no—
1466#125—794no—
1467#125—792no—
1468#125—794no—
1469#125—792no—
1470#125—794no—
1471#125—794no—
1472#125—794no—
1473#125—794no—
1474#125—794no—
1475#125—794no—
1476#125—794no—
1477#125—794no—
1478#125—794no—
1479#125—794no—
1480#125—792no—
1481#125—792no—
1482#125—792no—
1483#125—792no—
1484#125—792no—
1485#125—792no—
1486#125—792no—
1487#125—792no—
1488#125—792no—
1489#125—792no—
1490#125—792no—
1491#125—792no—
1492#125—791no—
1493#125—794no—
1494#125—792no—
1495#125—791no—
1496#125—791no—
1497#125C22×D7912yes—
1498#125C22×D7914yes—
1499#125C22×D7912yes—
1500#125C22×D7912yes—
1501#125C22×D7912yes—
1502#125C22×D7912yes—
1503#125C22×D7911yescharacteristic
1504#124—794no—
1505#124—792no—
1506#124—794no—
1507#124—794no—
1508#124—792no—
1509#124—792no—
1510#124—794no—
1511#124—792no—
1512#124—792no—
1513#124—791no—
1514#124C22×D7912yes—
1515#124C22×D7911yescharacteristic
1516#123—792no—
1517#123—792no—
1518#123—794no—
1519#123—794no—
1520#123—794no—
1521#123—792no—
1522#123—794no—
1523#123—794no—
1524#123—794no—
1525#123—794no—
1526#123—792no—
1527#123—794no—
1528#123—794no—
1529#123—794no—
1530#123—794no—
1531#123—794no—
1532#123—794no—
1533#123—794no—
1534#123—794no—
1535#123—794no—
1536#123—794no—
1537#123—794no—
1538#123—792no—
1539#123—794no—
1540#123—794no—
1541#123—792no—
1542#123—794no—
1543#123—792no—
1544#123—792no—
1545#123—794no—
1546#123—794no—
1547#123—792no—
1548#123—794no—
1549#123—794no—
1550#123—794no—
1551#123—794no—
1552#123—794no—
1553#123—794no—
1554#123—794no—
1555#123—794no—
1556#123—794no—
1557#123—794no—
1558#123—794no—
1559#123C22×D7914yes—
1560#123C22×D7912yes—
1561#123C22×D7914yes—
1562#123C22×D7914yes—
1563#123C22×D7914yes—
1564#123C22×D7914yes—
1565#123C22×D7914yes—
1566C22⋊Q8—792no—
1567C22⋊Q8—794no—
1568C22⋊Q8—794no—
1569C22⋊Q8—792no—
1570C22⋊Q8—794no—
1571C22⋊Q8—794no—
1572C22⋊Q8—794no—
1573C22⋊Q8—791no—
1574C22⋊Q8—794no—
1575C22⋊Q8—792no—
1576C22⋊Q8—792no—
1577C22⋊Q8—794no—
1578C22⋊Q8—794no—
1579C22⋊Q8—794no—
1580C22⋊Q8—794no—
1581C22⋊Q8—792no—
1582C22⋊Q8—794no—
1583C22⋊Q8—794no—
1584C22⋊Q8—792no—
1585C22⋊Q8—792no—
1586C22⋊Q8—792no—
1587C22⋊Q8—794no—
1588C22⋊Q8—794no—
1589C22⋊Q8—792no—
1590C22⋊Q8—794no—
1591C22⋊Q8—794no—
1592C22⋊Q8—792no—
1593C22⋊Q8—794no—
1594C22⋊Q8—794no—
1595C22⋊Q8—794no—
1596C22⋊Q8—794no—
1597C22⋊Q8—794no—
1598C22⋊Q8—794no—
1599C22⋊Q8—794no—
1600C22⋊Q8—794no—
1601C22⋊Q8—794no—
1602C22⋊Q8—794no—
1603C22⋊Q8—794no—
1604C22⋊Q8—794no—
1605C22⋊Q8—794no—
1606C22⋊Q8—792no—
1607C22⋊Q8—794no—
1608C22⋊Q8—792no—
1609C22⋊Q8—794no—
1610C22⋊Q8—794no—
1611C22⋊Q8—792no—
1612C22⋊Q8—792no—
1613C22⋊Q8—792no—
1614C22⋊Q8—792no—
1615C22⋊Q8—794no—
1616C22⋊Q8—794no—
1617C22⋊Q8—794no—
1618C22⋊Q8—794no—
1619C22⋊Q8—794no—
1620C22⋊Q8—794no—
1621C22⋊Q8C22×D7914yes—
1622C22⋊Q8C22×D7911yescharacteristic
1623C22⋊Q8C22×D7914yes—
1624C22⋊Q8C22×D7914yes—
1625C22⋊Q8C22×D7914yes—
1626C22⋊Q8C22×D7914yes—
1627C22⋊Q8C22×D7914yes—
1628#121—792no—
1629#121—792no—
1630#121—794no—
1631#121—792no—
1632#121—792no—
1633#121—794no—
1634#121—794no—
1635#121—794no—
1636#121—794no—
1637#121—794no—
1638#121—794no—
1639#121—792no—
1640#121—794no—
1641#121—794no—
1642#121—794no—
1643#121—794no—
1644#121—794no—
1645#121—794no—
1646#121—794no—
1647#121—794no—
1648#121—794no—
1649#121—794no—
1650#121—794no—
1651#121—794no—
1652#121—794no—
1653#121—794no—
1654#121—794no—
1655#121—791no—
1656#121—794no—
1657#121—792no—
1658#121—792no—
1659#121—792no—
1660#121—792no—
1661#121—794no—
1662#121—794no—
1663#121—794no—
1664#121—794no—
1665#121—794no—
1666#121—792no—
1667#121—794no—
1668#121—794no—
1669#121—794no—
1670#121—792no—
1671#121—792no—
1672#121—792no—
1673#121—794no—
1674#121—794no—
1675#121—794no—
1676#121—794no—
1677#121—794no—
1678#121—794no—
1679#121—792no—
1680#121—794no—
1681#121—794no—
1682#121—794no—
1683#121—794no—
1684#121—794no—
1685#121—794no—
1686#121—794no—
1687#121—794no—
1688#121—794no—
1689#121—794no—
1690#121—794no—
1691#121—794no—
1692#121—794no—
1693#121—794no—
1694#121—794no—
1695#121—794no—
1696#121—794no—
1697#121C22×D7911yescharacteristic
1698#121C22×D7914yes—
1699#121C22×D7912yes—
1700#121C22×D7912yes—
1701#121C22×D7912yes—
1702#121C22×D7912yes—
1703#121C22×D7914yes—
1704#121C22×D7914yes—
1705#121C22×D7914yes—
1706C4×Q8—792no—
1707C4×Q8—794no—
1708C4×Q8—792no—
1709C4×Q8—792no—
1710C4×Q8—792no—
1711C4×Q8—792no—
1712C4×Q8—794no—
1713C4×Q8—794no—
1714C4×Q8—794no—
1715C4×Q8—792no—
1716C4×Q8—791no—
1717C4×Q8—791no—
1718C4×Q8—792no—
1719C4×Q8—792no—
1720C4×Q8—792no—
1721C4×Q8—791no—
1722C4×Q8—792no—
1723C4×Q8C22×D7911yescharacteristic
1724C4×D4—792no—
1725C4×D4—792no—
1726C4×D4—792no—
1727C4×D4—792no—
1728C4×D4—794no—
1729C4×D4—794no—
1730C4×D4—792no—
1731C4×D4—792no—
1732C4×D4—794no—
1733C4×D4—794no—
1734C4×D4—794no—
1735C4×D4—794no—
1736C4×D4—794no—
1737C4×D4—794no—
1738C4×D4—792no—
1739C4×D4—792no—
1740C4×D4—792no—
1741C4×D4—794no—
1742C4×D4—794no—
1743C4×D4—794no—
1744C4×D4—792no—
1745C4×D4—792no—
1746C4×D4—792no—
1747C4×D4—792no—
1748C4×D4—792no—
1749C4×D4—792no—
1750C4×D4—792no—
1751C4×D4—794no—
1752C4×D4—794no—
1753C4×D4—794no—
1754C4×D4—794no—
1755C4×D4—794no—
1756C4×D4—794no—
1757C4×D4—794no—
1758C4×D4—794no—
1759C4×D4—794no—
1760C4×D4—794no—
1761C4×D4—794no—
1762C4×D4—794no—
1763C4×D4—794no—
1764C4×D4—794no—
1765C4×D4—794no—
1766C4×D4—794no—
1767C4×D4—794no—
1768C4×D4—791no—
1769C4×D4—791no—
1770C4×D4—792no—
1771C4×D4—792no—
1772C4×D4—791no—
1773C4×D4—794no—
1774C4×D4—794no—
1775C4×D4—792no—
1776C4×D4C22×D7912yes—
1777C4×D4C22×D7912yes—
1778C4×D4C22×D7912yes—
1779C4×D4C22×D7911yescharacteristic
1780C4×D4C22×D7912yes—
1781C4×D4C22×D7914yes—
1782C4×D4C22×D7914yes—
1783C4×D4C22×D7912yes—
1784#117—791no—
1785#117—792no—
1786#117—791no—
1787#117—791no—
1788#117—792no—
1789#117—794no—
1790#117—792no—
1791#117—794no—
1792#117—792no—
1793#117—794no—
1794#117—794no—
1795#117—794no—
1796#117—794no—
1797#117—792no—
1798#117—792no—
1799#117—792no—
1800#117C22×D7912yes—
1801#117C22×D7912yes—
1802C2×C4⋊C4—794no—
1803C2×C4⋊C4—794no—
1804C2×C4⋊C4—792no—
1805C2×C4⋊C4—794no—
1806C2×C4⋊C4—794no—
1807C2×C4⋊C4—794no—
1808C2×C4⋊C4—794no—
1809C2×C4⋊C4—794no—
1810C2×C4⋊C4—794no—
1811C2×C4⋊C4—792no—
1812C2×C4⋊C4—794no—
1813C2×C4⋊C4—792no—
1814C2×C4⋊C4—792no—
1815C2×C4⋊C4—792no—
1816C2×C4⋊C4—794no—
1817C2×C4⋊C4—794no—
1818C2×C4⋊C4—794no—
1819C2×C4⋊C4—794no—
1820C2×C4⋊C4—794no—
1821C2×C4⋊C4—794no—
1822C2×C4⋊C4—794no—
1823C2×C4⋊C4—794no—
1824C2×C4⋊C4C22×D7912yes—
1825C2×C4⋊C4C22×D7911yescharacteristic
1826C2×C4⋊C4C22×D7911yescharacteristic
1827C2×C4⋊C4C22×D7914yes—
1828C2×C4⋊C4C22×D7912yes—
1829C2×C4⋊C4C22×D7912yes—
1830C2×C42—792no—
1831C2×C42—794no—
1832C2×C42—794no—
1833C2×C42—792no—
1834C2×C42—792no—
1835C2×C42C22×D7911yescharacteristic
1836#41—84no—
1837#41—82no—
1838#41—6324no—
1839#41—6324no—
1840#41—6324no—
1841#41—6324no—
1842#41—6324no—
1843#41—6324no—
1844#41—6322no—
1845#41—6324no—
1846#41—6322no—
1847#41—6324no—
1848#41—6324no—
1849#41—6324no—
1850#41—6322no—
1851#41—6324no—
1852#41—6322no—
1853#41—6322no—
1854#41—1588no—
1855#41—1584no—
1856#41—1588no—
1857C2×Q8—794no—
1858C2×Q8—794no—
1859C2×Q8—794no—
1860C2×Q8—792no—
1861C2×Q8—792no—
1862C2×Q8—792no—
1863C2×Q8—792no—
1864C2×Q8—791no—
1865C2×Q8—792no—
1866C2×Q8—791no—
1867C2×Q8C23×D7912yes—
1868C2×Q8C23×D7914yes—
1869C2×Q8C23×D7911yescharacteristic
1870C2×D4—794no—
1871C2×D4—794no—
1872C2×D4—794no—
1873C2×D4—794no—
1874C2×D4—794no—
1875C2×D4—794no—
1876C2×D4—794no—
1877C2×D4—792no—
1878C2×D4—792no—
1879C2×D4—794no—
1880C2×D4—794no—
1881C2×D4—794no—
1882C2×D4—792no—
1883C2×D4—792no—
1884C2×D4—794no—
1885C2×D4—794no—
1886C2×D4—794no—
1887C2×D4—794no—
1888C2×D4—794no—
1889C2×D4—794no—
1890C2×D4—792no—
1891C2×D4—794no—
1892C2×D4—791no—
1893C2×D4—792no—
1894C2×D4—792no—
1895C2×D4—791no—
1896C2×D4C23×D7912yes—
1897C2×D4C23×D7914yes—
1898C2×D4C23×D7912yes—
1899C2×D4C23×D7914yes—
1900C2×D4C23×D7912yes—
1901C2×D4C23×D7914yes—
1902C2×D4C23×D7912yes—
1903C2×D4C23×D7911yescharacteristic
1904C22×C4—792no—
1905C22×C4—794no—
1906C22×C4—792no—
1907C22×C4—794no—
1908C22×C4—794no—
1909C22×C4—794no—
1910C22×C4—794no—
1911C22×C4—794no—
1912C22×C4—792no—
1913C22×C4—792no—
1914C22×C4—792no—
1915C22×C4—792no—
1916C22×C4—794no—
1917C22×C4—794no—
1918C22×C4—794no—
1919C22×C4—794no—
1920C22×C4—794no—
1921C22×C4—794no—
1922C22×C4—794no—
1923C22×C4—794no—
1924C22×C4—794no—
1925C22×C4—794no—
1926C22×C4—792no—
1927C22×C4—792no—
1928C22×C4C23×D7912yes—
1929C22×C4C23×D7911yescharacteristic
1930C22×C4C23×D7914yes—
1931C22×C4C23×D7911yescharacteristic
1932C22×C4C23×D7911yescharacteristic
1933C22×C4C23×D7914yes—
1934C22×C4C23×D7914yes—
1935C22×C4C23×D7914yes—
1936C22×C4C23×D7912yes—
1937C22×C4C23×D7912yes—
1938C4⋊C4—794no—
1939C4⋊C4—794no—
1940C4⋊C4—794no—
1941C4⋊C4—794no—
1942C4⋊C4—792no—
1943C4⋊C4—792no—
1944C4⋊C4—794no—
1945C4⋊C4—794no—
1946C4⋊C4—792no—
1947C4⋊C4—792no—
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—792no—
1959C4⋊C4—792no—
1960C4⋊C4—792no—
1961C4⋊C4—794no—
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—792no—
1971C4⋊C4—792no—
1972C4⋊C4—792no—
1973C4⋊C4—791no—
1974C4⋊C4—792no—
1975C4⋊C4—791no—
1976C4⋊C4—791no—
1977C4⋊C4—792no—
1978C4⋊C4—791no—
1979C4⋊C4—794no—
1980C4⋊C4—794no—
1981C4⋊C4—794no—
1982C4⋊C4—794no—
1983C4⋊C4—792no—
1984C4⋊C4—794no—
1985C4⋊C4—794no—
1986C4⋊C4—794no—
1987C4⋊C4—792no—
1988C4⋊C4—792no—
1989C4⋊C4—792no—
1990C4⋊C4—791no—
1991C4⋊C4—792no—
1992C4⋊C4—791no—
1993C4⋊C4—791no—
1994C4⋊C4—792no—
1995C4⋊C4—791no—
1996C4⋊C4C23×D7912yes—
1997C4⋊C4C23×D7914yes—
1998C4⋊C4C23×D7912yes—
1999C4⋊C4C23×D7912yes—
2000C4⋊C4C23×D7914yes—
2001C4⋊C4C23×D7912yes—
2002C4⋊C4C23×D7912yes—
2003C4⋊C4C23×D7912yes—
2004C4⋊C4C23×D7914yes—
2005C4⋊C4C23×D7914yes—
2006C4⋊C4C23×D7914yes—
2007C4⋊C4C23×D7914yes—
2008C4⋊C4C23×D7914yes—
2009C4⋊C4C23×D7912yes—
2010C4⋊C4C23×D7914yes—
2011C4⋊C4C23×D7912yes—
2012C4⋊C4C23×D7912yes—
2013C4⋊C4C23×D7911yescharacteristic
2014C4⋊C4C23×D7912yes—
2015C4⋊C4C23×D7911yescharacteristic
2016C22⋊C4—792no—
2017C22⋊C4—792no—
2018C22⋊C4—794no—
2019C22⋊C4—794no—
2020C22⋊C4—792no—
2021C22⋊C4—792no—
2022C22⋊C4—792no—
2023C22⋊C4—794no—
2024C22⋊C4—792no—
2025C22⋊C4—792no—
2026C22⋊C4—794no—
2027C22⋊C4—792no—
2028C22⋊C4—794no—
2029C22⋊C4—794no—
2030C22⋊C4—794no—
2031C22⋊C4—794no—
2032C22⋊C4—792no—
2033C22⋊C4—792no—
2034C22⋊C4—792no—
2035C22⋊C4—794no—
2036C22⋊C4—794no—
2037C22⋊C4—792no—
2038C22⋊C4—794no—
2039C22⋊C4—794no—
2040C22⋊C4—794no—
2041C22⋊C4—792no—
2042C22⋊C4—792no—
2043C22⋊C4—794no—
2044C22⋊C4—794no—
2045C22⋊C4—794no—
2046C22⋊C4—792no—
2047C22⋊C4—792no—
2048C22⋊C4—794no—
2049C22⋊C4—794no—
2050C22⋊C4—794no—
2051C22⋊C4—792no—
2052C22⋊C4—792no—
2053C22⋊C4C23×D7914yes—
2054C22⋊C4C23×D7914yes—
2055C22⋊C4C23×D7914yes—
2056C22⋊C4C23×D7912yes—
2057C22⋊C4C23×D7912yes—
2058C22⋊C4C23×D7914yes—
2059C22⋊C4C23×D7912yes—
2060C22⋊C4C23×D7914yes—
2061C22⋊C4C23×D7914yes—
2062C22⋊C4C23×D7914yes—
2063C22⋊C4C23×D7912yes—
2064C22⋊C4C23×D7912yes—
2065C42—792no—
2066C42—792no—
2067C42—794no—
2068C42—794no—
2069C42—794no—
2070C42—794no—
2071C42—792no—
2072C42—792no—
2073C42—792no—
2074C42—792no—
2075C42—792no—
2076C42—794no—
2077C42—792no—
2078C42—792no—
2079C42—792no—
2080C42C23×D7911yescharacteristic
2081C42C23×D7914yes—
2082C42C23×D7912yes—
2083C42C23×D7911yescharacteristic
2084C42C23×D7911yescharacteristic
2085C42C23×D7911yescharacteristic
2086C23—792no—
2087C23—794no—
2088C23—792no—
2089C23C24×D7911yescharacteristic
2090C23C24×D7912yes—
2091C23C24×D7914yes—
2092Q8—44no—
2093Q8—42no—
2094Q8—41no—
2095Q8—3162no—
2096Q8—3164no—
2097Q8—3162no—
2098Q8—3161no—
2099Q8—3164no—
2100Q8—3164no—
2101Q8—3162no—
2102Q8—3162no—
2103Q8—3162no—
2104Q8—794no—
2105D4—24no—
2106D4—44no—
2107D4—42no—
2108D4—44no—
2109D4—42no—
2110D4—44no—
2111D4—42no—
2112D4—41no—
2113D4—3162no—
2114D4—3164no—
2115D4—3164no—
2116D4—3164no—
2117D4—3161no—
2118D4—3164no—
2119D4—3164no—
2120D4—3162no—
2121D4—3164no—
2122D4—3164no—
2123D4—3164no—
2124D4—3164no—
2125D4—3162no—
2126D4—3164no—
2127D4—3164no—
2128D4—3164no—
2129D4—3164no—
2130D4—3162no—
2131D4—3164no—
2132D4—3164no—
2133D4—3162no—
2134D4—1584no—
2135D4—1588no—
2136D4—1588no—
2137D4—1584no—
2138D4—1582no—
2139C2×C4—24no—
2140C2×C4—22no—
2141C2×C4—41no—
2142C2×C4—42no—
2143C2×C4—44no—
2144C2×C4—44no—
2145C2×C4—44no—
2146C2×C4—42no—
2147C2×C4—44no—
2148C2×C4—41no—
2149C2×C4—3164no—
2150C2×C4—3164no—
2151C2×C4—3164no—
2152C2×C4—3164no—
2153C2×C4—3164no—
2154C2×C4—3162no—
2155C2×C4—3162no—
2156C2×C4—3164no—
2157C2×C4—3164no—
2158C2×C4—3164no—
2159C2×C4—3164no—
2160C2×C4—3162no—
2161C2×C4—3164no—
2162C2×C4—3162no—
2163C2×C4—3164no—
2164C2×C4—3162no—
2165C2×C4—3164no—
2166C2×C4—3164no—
2167C2×C4—3164no—
2168C2×C4—3162no—
2169C2×C4—792no—
2170C2×C4—792no—
2171C2×C4—792no—
2172C2×C4—792no—
2173C2×C4—792no—
2174C2×C4—792no—
2175C2×C4—792no—
2176C2×C4—792no—
2177C2×C4—794no—
2178C2×C4—792no—
2179C2×C4—792no—
2180C2×C4—1588no—
2181C2×C4—1584no—
2182C2×C4—1588no—
2183C2×C4—1584no—
2184C2×C4C24×D7912yes—
2185C2×C4C24×D7912yes—
2186C2×C4C24×D7911yescharacteristic
2187C2×C4C24×D7911yescharacteristic
2188C2×C4C24×D7911yescharacteristic
2189C2×C4C24×D7914yes—
2190C2×C4C24×D7914yes—
2191C2×C4C24×D7914yes—
2192C2×C4C24×D7912yes—
2193C2×C4C24×D7911yescharacteristic
2194C2×C4C24×D7911yescharacteristic
2195C2×C4C24×D7911yescharacteristic
2196C22—21no—
2197C22—22no—
2198C22—24no—
2199C22—21no—
2200C22—22no—
2201C22—24no—
2202C22—21no—
2203C22—24no—
2204C22—22no—
2205C22—1582no—
2206C22—1584no—
2207C22—1582no—
2208C22—1582no—
2209C22—1582no—
2210C22—1584no—
2211C22—1584no—
2212C22—1582no—
2213C22—1582no—
2214C22C25×D7911yescharacteristic
2215C4—22no—
2216C4—21no—
2217C4—21no—
2218C4—24no—
2219C4—24no—
2220C4—22no—
2221C4—21no—
2222C4—24no—
2223C4—22no—
2224C4—21no—
2225C4—21no—
2226C4—794no—
2227C4—1582no—
2228C4—1582no—
2229C4—1582no—
2230C4—1582no—
2231C4—1582no—
2232C4—1582no—
2233C4—1582no—
2234C4—1584no—
2235C4—1582no—
2236C4—1582no—
2237C42−1+4×D7912yes—
2238C2—41no—
2239C2—42no—
2240C2—44no—
2241C2—3162no—
2242C2—3164no—
2243C2—3162no—
2244C2C2×2−1+4×D7911yescharacteristic
2245C2#2377821011yescharacteristic
2246C2#2377821111yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3559C2
hypercenter#3559D79
hypocenterC79#63070
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3559

Complements

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

NH ≅ G/Ntype
1. #23777937C2semidirect
2. #23777936C2semidirect
3. #23777934C2semidirect
4. #23777933C2semidirect
5. #23777932C2semidirect
6. #23777929C2semidirect
7. #23777928C2semidirect
8. #23777926C2semidirect
9. #23777926C2semidirect
10. #23777925C2semidirect
11. #23777924C2semidirect
12. #23777799C2semidirect
13. #23777798C2semidirect
14. #23777797C2semidirect
15. #23777796C2semidirect
16. #23777795C2semidirect
17. #23777794C2semidirect
18. #23777546C2semidirect
19. #23777545C2semidirect
20. #23777405C2semidirect
21. #23777404C2semidirect
22. #23777402C2semidirect
23. #23777399C2semidirect
24. #23777399C2semidirect
25. #23777398C2semidirect
26. #23777224C2semidirect
27. #23777223C2semidirect
28. #23777220C2semidirect
29. C79×#3559C2semidirect
1135. #3559D79semidirect
1153. C79#63070semidirect

Maximal subgroups

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

subgroupindex
#237779372
#237779362
#237779342
#237779332
#237779322
#237779292
#237779282
#237779262
#237779252
#237779242
#237777992
#237777982
#237777972
#237777962
#237777952
#237777942
#237775462
#237775452
#237774052
#237774042
#237774022
#237773992
#237773982
#237772242
#237772232
#237772202
C79×#35592
#6307079