Finite Group Databasebeta

← #35201880

Subgroups — #35201880

Order 20224.

6276 conjugacy classes of subgroups.

The subgroup lattice has 2184 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778088C212yesmaximal, complemented
2#23778077C214yesmaximal, complemented
3#23778056C214yesmaximal, complemented
4#23778039C214yesmaximal, complemented
5#23778017C214yesmaximal, complemented
6#23778011C214yesmaximal, complemented
7#23778006C212yesmaximal, complemented
8#23777993C212yesmaximal, complemented
9#23777970C211yesmaximal, characteristic, complemented
10#23777965C211yesmaximal, characteristic, complemented
11#23777901C212yesmaximal, complemented
12#23777896C214yesmaximal, complemented
13#23777895C211yesmaximal, characteristic, complemented
14#23777878C212yesmaximal, complemented
15#23777866C212yesmaximal, complemented
16#23777856C212yesmaximal, complemented
17#23777844C212yesmaximal, complemented
18#23777838C212yesmaximal, complemented
19#23777545C211yesmaximal, characteristic, complemented
20#23777545C212yesmaximal, complemented
21#23777501C212yesmaximal, complemented
22#23777489C212yesmaximal, complemented
23#23777475C212yesmaximal, complemented
24#23777417C211yesmaximal, characteristic, complemented
25#23777390C212yesmaximal, complemented
26#23777296C211yesmaximal, characteristic, complemented
27#23777283C212yesmaximal, complemented
28#23777258C212yesmaximal, complemented
29C79×#3515C211yesmaximal, characteristic, complemented
30C79⋊#564C2212yescomplemented
31C79⋊#564C2211yescharacteristic, complemented
32C79⋊#564C2212yescomplemented
33#19099317C2212yes—
34#19099317C2212yes—
35#19099317C2211yescharacteristic, complemented
36#19099317C2214yescomplemented
37#19099316C2212yes—
38#19099316C2214yes—
39#19099316C2214yescomplemented
40#19099315C2214yescomplemented
41#19099315C2214yescomplemented
42#19099315C2212yescomplemented
43#19099315C2212yescomplemented
44#19099315C2214yescomplemented
45#19099314C2212yes—
46#19099314C2214yescomplemented
47#19099314C2214yescomplemented
48#19099313C2211yescharacteristic, complemented
49#19099311C2212yes—
50#19099310C2212yes—
51#19099310C2214yes—
52#19099310C2214yescomplemented
53#19099308C2212yes—
54#19099308C2214yescomplemented
55#19099307C2212yes—
56#19099307C2211yescharacteristic, complemented
57#19099301C2214yes—
58#19099297C2214yescomplemented
59#19099296C2212yes—
60#19099296C2212yes—
61#19099296C2212yes—
62#19099296C2214yescomplemented
63Q8×Dic158C2211yescharacteristic, complemented
64#19099292C2212yescomplemented
65#19099292C2212yescomplemented
66#19099291C2212yescomplemented
67#19099291C2212yescomplemented
68#19099291C2212yescomplemented
69#19099290C2212yescomplemented
70#19099290C2214yescomplemented
71#19099288C2212yescomplemented
72#19099288C2212yescomplemented
73#19099288C2212yescomplemented
74#19099287C2212yes—
75#19099286C2212yes—
76#19099285C2212yes—
77#19099285C2212yes—
78#19099285C2212yes—
79#19099285C2212yes—
80#19099284C2214yescomplemented
81#19099283C2212yes—
82#19099283C2212yescomplemented
83#19099283C2211yescharacteristic, complemented
84#19099281C2212yes—
85#19099281C2214yescomplemented
86#19099281C2214yescomplemented
87#19099280C2214yes—
88#19099280C2214yescomplemented
89#19099278C2212yes—
90#19099278C2214yescomplemented
91#19099278C2211yescharacteristic, complemented
92#19099269C2212yes—
93#19099269C2214yescomplemented
94#19099268C2214yescomplemented
95#19099268C2214yescomplemented
96#19099268C2214yescomplemented
97#19099267C2214yescomplemented
98#19099264C2214yescomplemented
99#19099262C2214yescomplemented
100#19099261C2214yes—
101#19099261C2212yes—
102#19099261C2214yescomplemented
103#19099260C2214yes—
104#19099257C2214yes—
105#19099254C2214yescomplemented
106#19099252C2214yescomplemented
107#19099251C2214yes—
108#19099251C2214yescomplemented
109#19099250C2214yes—
110#19099249C2214yescomplemented
111#19099248C2214yescomplemented
112#19099248C2214yescomplemented
113#19099248C2212yescomplemented
114#19099248C2214yescomplemented
115#19099247C2214yescomplemented
116#19099246C2214yescomplemented
117#19099245C2214yescomplemented
118#19099245C2214yescomplemented
119#19099245C2214yescomplemented
120#19099242C2214yes—
121#19099242C2214yes—
122#19099241C2214yes—
123#19099241C2214yes—
124#19099238C2214yes—
125#19099237C2214yes—
126#19099236C2214yes—
127#19099232C2212yes—
128Q8×D316C2211yescharacteristic, complemented
129D4×Dic158C2212yes—
130#19099226C2212yes—
131#19099226C2212yescomplemented
132#19099226C2212yescomplemented
133#19099225C2212yes—
134#19099223C2212yes—
135#19099222C2212yes—
136#19099220C2212yes—
137#19099220C2212yescomplemented
138#19099215C2212yes—
139#19099209C2212yes—
140#19099204C2212yes—
141#19099194C2214yescomplemented
142#19099193C2214yescomplemented
143#19099193C2214yescomplemented
144#19099188C2212yes—
145#19099188C2212yes—
146#19099187C2212yes—
147#19099186C2212yes—
148#19099186C2214yescomplemented
149#19099185C2214yes—
150#19099184C2212yes—
151#19099184C2212yes—
152#19099184C2212yes—
153#19099184C2214yescomplemented
154#19099183C2214yescomplemented
155#19099183C2214yescomplemented
156#19099181C2214yescomplemented
157#19099180C2214yes—
158#19099179C2214yes—
159#19099179C2214yescomplemented
160#19099178C2214yes—
161#19099178C2212yescomplemented
162#19099176C2214yescomplemented
163#19099176C2212yescomplemented
164#19099175C2214yes—
165#19099173C2214yes—
166#19099173C2212yes—
167#19099173C2212yes—
168#19099173C2212yescomplemented
169#19099172C2214yescomplemented
170#19099172C2214yescomplemented
171#19099172C2214yescomplemented
172#19099172C2214yescomplemented
173#19099172C2214yescomplemented
174#19099172C2214yescomplemented
175#19099170C2214yes—
176#19099165C2214yes—
177#19099164C2212yes—
178#19099164C2214yescomplemented
179#19099163C2214yescomplemented
180#19099161C2214yes—
181#19099161C2214yescomplemented
182#19099160C2214yes—
183#19099160C2214yescomplemented
184#19099160C2214yescomplemented
185#19099159C2214yescomplemented
186#19099156C2214yes—
187#19099156C2214yescomplemented
188#19099156C2214yescomplemented
189#19099155C2214yescomplemented
190#19099155C2214yescomplemented
191#19099154C2214yescomplemented
192#19099153C2212yes—
193#19099150C2212yes—
194#19099149C2214yes—
195#19099149C2214yes—
196#19099145C2214yes—
197#19099139C2212yes—
198#19099138C2212yes—
199#19099138C2212yes—
200#19099134C2211yescharacteristic
201#19099134C2212yescomplemented
202#19099127C2211yescharacteristic
203#19099120C2211yescharacteristic
204#19099120C2211yescharacteristic
205#19099120C2212yescomplemented
206#19099119C2214yescomplemented
207#19099117C2212yescomplemented
208#19099117C2214yescomplemented
209#19099116C2212yescomplemented
210#19099116C2214yescomplemented
211#19099115C2212yescomplemented
212#19099109C2212yes—
213C4⋊Q8×D79C2212yescomplemented
214#19099099C2212yes—
215#19099099C2214yescomplemented
216#19099098C2212yes—
217#19099097C2212yes—
218#19099097C2211yescharacteristic
219#19099097C2212yes—
220#19099097C2212yescomplemented
221#19099095C2212yes—
222#19099095C2214yescomplemented
223#19099095C2212yescomplemented
224#19099093C2212yes—
225#19099093C2214yescomplemented
226#19099093C2214yescomplemented
227#19099093C2212yescomplemented
228#19099093C2214yescomplemented
229#19099091C2214yes—
230#19099091C2212yescomplemented
231#19099091C2214yescomplemented
232#19099090C2214yes—
233#126×D79C2214yes—
234C2×#14579149C2211yescharacteristic
235#19099044C2212yes—
236#19099040C2211yescharacteristic
237#19099039C2212yescomplemented
238#19099039C2212yescomplemented
239#19099037C2211yescharacteristic
240C4×#11929625C2212yes—
241C2×#14579126C2212yescomplemented
242#557×C79C2211yescharacteristic, complemented
243#554×C79C2211yescharacteristic, complemented
244#554×C79C2211yescharacteristic, complemented
245#553×C79C2212yes—
246#552×C79C2212yes—
247#552×C79C2212yes—
248#552×C79C2214yescomplemented
249#547×C79C2212yes—
250#547×C79C2211yescharacteristic, complemented
251#541×C79C2212yescomplemented
252#539×C79C2214yes—
253#533×C79C2211yescharacteristic
254#529×C79C2211yescharacteristic
255#529×C79C2212yescomplemented
256C2×#125×C79C2212yescomplemented
257#520×C79C2212yescomplemented
258C4×#41×C79C2211yescharacteristic
259C2×#11929625C2312yes—
260C2×#11929624C2312yes—
261C22×Dic158C2312yes—
262C22×Dic158C2311yescharacteristic
263C2×Q8×D79C2312yes—
264C2×Q8×D79C2312yes—
265C22×D316C2311yescharacteristic
266#14579161C2311yescharacteristic
267#14579161C2312yes—
268#14579161C2314yes—
269#14579161C2312yes—
270#14579161C2311yescharacteristic
271#14579161C2311yescharacteristic
272#14579161C2311yescharacteristic
273#14579161C2312yes—
274#14579160C2314yes—
275#14579160C2314yes—
276#14579160C2312yes—
277#14579160C2314yes—
278#14579160C2314yes—
279#14579160C2314yes—
280#14579160C2312yes—
281#14579160C2314yes—
282#14579160C2314yes—
283#14579160C2312yes—
284#14579160C2312yes—
285#14579160C2314yes—
286#14579159C2312yes—
287#14579159C2312yes—
288#14579159C2314yes—
289#14579159C2312yes—
290#14579159C2312yes—
291#14579159C2312yes—
292#14579157C2314yes—
293#14579157C2312yes—
294#14579156C2314yes—
295#14579156C2314yes—
296#14579156C2314yes—
297#14579156C2314yes—
298#14579156C2314yes—
299#14579156C2314yes—
300#14579156C2314yes—
301#14579156C2314yes—
302#14579156C2312yes—
303#14579156C2314yes—
304#14579156C2314yes—
305#14579156C2312yes—
306#14579156C2314yes—
307#14579156C2314yes—
308#14579156C2314yes—
309#14579156C2314yes—
310#14579156C2314yes—
311#14579156C2314yes—
312#14579156C2312yes—
313#14579156C2314yes—
314#14579155C2314yes—
315#14579155C2314yes—
316#14579155C2314yes—
317#14579155C2314yes—
318#14579155C2314yes—
319#14579155C2312yes—
320#14579154C2314yes—
321#14579154C2314yes—
322#14579154C2314yes—
323#14579154C2314yes—
324#14579154C2314yes—
325#14579154C2312yes—
326#14579154C2314yes—
327#14579154C2314yes—
328#14579154C2312yes—
329#14579154C2314yes—
330#14579154C2314yes—
331#14579154C2314yes—
332#14579154C2314yes—
333#14579154C2312yes—
334#14579154C2312yes—
335#14579154C2312yes—
336#14579154C2314yes—
337#14579153C2314yes—
338#14579153C2314yes—
339#14579153C2312yes—
340#14579153C2311yescharacteristic
341#14579153C2311yescharacteristic
342#14579153C2311yescharacteristic
343#14579152C2314yes—
344#14579152C2314yes—
345#14579152C2314yes—
346#14579152C2314yes—
347#14579152C2312yes—
348#14579152C2314yes—
349#14579152C2314yes—
350#14579152C2312yes—
351#14579152C2314yes—
352#14579152C2314yes—
353#14579152C2314yes—
354#14579152C2312yes—
355#14579152C2312yes—
356#14579152C2312yes—
357#14579151C2314yes—
358#14579151C2314yes—
359#14579151C2314yes—
360#14579151C2314yes—
361#14579151C2314yes—
362#14579151C2314yes—
363#14579151C2314yes—
364#14579151C2312yes—
365#14579151C2314yes—
366#14579151C2314yes—
367#14579151C2314yes—
368#14579151C2314yes—
369#14579151C2314yes—
370#14579151C2314yes—
371#14579151C2314yes—
372#14579151C2314yes—
373#14579151C2314yes—
374#14579151C2314yes—
375#14579151C2312yes—
376#14579151C2312yes—
377#14579151C2312yes—
378#14579151C2312yes—
379#14579150C2312yes—
380#14579150C2312yes—
381#14579150C2314yes—
382#14579149C2312yes—
383#14579149C2312yes—
384#14579149C2312yes—
385#14579149C2312yes—
386#14579149C2314yes—
387#14579149C2312yes—
388#14579149C2311yescharacteristic
389#14579148C2314yes—
390#14579148C2312yes—
391#14579148C2312yes—
392#14579148C2314yes—
393#14579148C2312yes—
394#14579147C2314yes—
395#14579147C2312yes—
396#14579147C2314yes—
397#14579147C2314yes—
398#14579147C2314yes—
399#14579147C2314yes—
400#14579147C2314yes—
401#14579147C2314yes—
402#14579147C2314yes—
403#14579147C2312yes—
404#14579147C2314yes—
405#14579147C2312yes—
406#14579147C2314yes—
407#14579146C2314yes—
408#14579146C2314yes—
409#14579146C2314yes—
410#14579146C2314yes—
411#14579146C2314yes—
412#14579146C2314yes—
413#14579146C2314yes—
414#14579146C2314yes—
415#14579146C2314yes—
416#14579146C2314yes—
417#14579146C2312yes—
418#14579145C2314yes—
419#14579145C2314yes—
420#14579145C2312yes—
421#14579145C2314yes—
422#14579145C2312yes—
423#14579144C2314yes—
424#14579144C2314yes—
425#14579144C2314yes—
426#14579144C2314yes—
427#14579144C2314yes—
428#14579144C2314yes—
429#14579144C2312yes—
430#14579143C2312yes—
431#14579143C2314yes—
432#14579143C2314yes—
433#14579143C2314yes—
434#14579143C2312yes—
435#14579143C2314yes—
436#14579143C2312yes—
437#14579143C2314yes—
438#14579143C2314yes—
439#14579143C2314yes—
440#14579143C2314yes—
441#14579142C2312yes—
442#14579142C2314yes—
443#14579142C2314yes—
444#14579142C2314yes—
445#14579142C2312yes—
446#14579141C2314yes—
447#14579141C2314yes—
448#14579141C2314yes—
449#14579141C2314yes—
450#14579141C2314yes—
451#14579141C2312yes—
452#14579141C2312yes—
453#14579141C2314yes—
454#14579141C2312yes—
455#14579141C2312yes—
456#14579141C2314yes—
457#14579140C2312yes—
458#14579140C2312yes—
459#14579140C2314yes—
460#14579140C2314yes—
461#14579140C2312yes—
462#14579140C2314yes—
463#14579140C2314yes—
464#14579140C2314yes—
465#14579140C2312yes—
466#14579140C2312yes—
467#14579140C2312yes—
468#14579140C2312yes—
469#14579140C2314yes—
470#14579140C2312yes—
471#14579140C2311yescharacteristic
472#14579139C2314yes—
473#14579139C2314yes—
474#14579139C2314yes—
475#14579139C2314yes—
476#14579139C2314yes—
477#14579139C2314yes—
478#14579139C2314yes—
479#14579139C2314yes—
480#14579139C2314yes—
481#14579139C2312yes—
482#14579139C2314yes—
483#14579139C2314yes—
484#14579139C2314yes—
485#14579139C2314yes—
486#14579139C2314yes—
487#14579139C2314yes—
488#14579139C2312yes—
489#14579139C2314yes—
490#14579139C2312yes—
491#14579138C2314yes—
492#14579138C2312yes—
493#14579138C2312yes—
494#14579138C2314yes—
495#14579138C2314yes—
496#14579138C2314yes—
497#14579138C2314yes—
498#14579138C2312yes—
499#14579138C2312yes—
500#14579138C2314yes—
501#14579138C2312yes—
502#14579138C2312yes—
503#14579137C2312yes—
504#14579137C2314yes—
505#14579137C2314yes—
506#14579136C2314yes—
507#14579136C2314yes—
508#14579136C2312yes—
509#14579135C2314yes—
510#14579135C2314yes—
511#14579135C2311yescharacteristic
512#14579135C2312yes—
513#14579135C2314yes—
514#14579135C2312yes—
515#14579135C2312yes—
516#14579135C2312yes—
517#14579134C2314yes—
518#14579134C2314yes—
519#14579134C2314yes—
520#14579134C2312yes—
521#14579134C2314yes—
522#14579133C2314yes—
523#14579133C2314yes—
524#14579133C2312yes—
525#14579133C2312yes—
526#14579133C2314yes—
527#14579132C2314yes—
528#14579132C2312yes—
529#14579132C2314yes—
530#14579132C2314yes—
531#14579132C2312yes—
532#14579131C2314yes—
533#14579129C2314yes—
534#14579129C2314yes—
535Q8×Dic79C2312yes—
536Q8×Dic79C2314yes—
537Q8×Dic79C2312yes—
538Q8×Dic79C2312yes—
539C4×Dic158C2314yes—
540C4×Dic158C2314yes—
541C4×Dic158C2312yes—
542C4×Dic158C2312yes—
543C4×Dic158C2314yes—
544C4×Dic158C2314yes—
545C4×Dic158C2312yes—
546C4×Dic158C2312yes—
547C4×Dic158C2312yes—
548C4×Dic158C2312yes—
549C4×Dic158C2314yes—
550C4×Dic158C2314yes—
551C4×Dic158C2312yes—
552C4×Dic158C2311yescharacteristic
553C4×Dic158C2312yes—
554C4×Dic158C2312yes—
555C4×Dic158C2312yes—
556#14579126C2314yes—
557#14579126C2314yes—
558#14579126C2314yes—
559#14579126C2314yes—
560#14579126C2314yes—
561#14579126C2314yes—
562#14579126C2312yes—
563#14579126C2314yes—
564#14579126C2312yes—
565#14579126C2312yes—
566#14579126C2314yes—
567#14579126C2312yes—
568#14579126C2312yes—
569#14579126C2312yes—
570C4×D316C2314yes—
571C4×D316C2312yes—
572C4×D316C2312yes—
573C4×D316C2312yes—
574C4×D316C2314yes—
575C4×D316C2312yes—
576C4×D316C2311yescharacteristic
577D4×Dic79C2314yes—
578#14579123C2314yes—
579#14579123C2314yes—
580#14579123C2314yes—
581#14579123C2312yes—
582#14579123C2312yes—
583#14579123C2312yes—
584C4×C22⋊D79C2314yes—
585C4×C22⋊D79C2314yes—
586C4×C22⋊D79C2314yes—
587C4×C22⋊D79C2314yes—
588C4×C22⋊D79C2314yes—
589C4×C22⋊D79C2314yes—
590C4×C22⋊D79C2314yes—
591C4×C22⋊D79C2314yes—
592C4×C22⋊D79C2314yes—
593C4×C22⋊D79C2314yes—
594C4×C22⋊D79C2312yes—
595C4×C22⋊D79C2312yes—
596C4×C22⋊D79C2312yes—
597C4×C22⋊D79C2314yes—
598C4×C22⋊D79C2314yes—
599(C22⋊D79)⋊C4C2314yes—
600(C22⋊D79)⋊C4C2314yes—
601(C22⋊D79)⋊C4C2314yes—
602(C22⋊D79)⋊C4C2314yes—
603(C22⋊D79)⋊C4C2314yes—
604#14579120C2312yes—
605#14579120C2311yescharacteristic
606#14579120C2311yescharacteristic
607#14579120C2312yes—
608#14579120C2314yes—
609#14579120C2314yes—
610#14579120C2312yes—
611#14579120C2312yes—
612#14579120C2314yes—
613#14579119C2314yes—
614#14579119C2314yes—
615#14579119C2314yes—
616#14579119C2314yes—
617#14579119C2314yes—
618#14579119C2314yes—
619#14579119C2314yes—
620#14579119C2314yes—
621#14579119C2312yes—
622#14579118C2312yes—
623#14579118C2312yes—
624#14579118C2314yes—
625#14579118C2314yes—
626#14579118C2314yes—
627#14579118C2314yes—
628#14579118C2314yes—
629#14579118C2314yes—
630#14579117C2314yes—
631#14579117C2314yes—
632C2×Dic79⋊C4C2314yes—
633C4⋊C4×D79C2314yes—
634C4⋊C4×D79C2314yes—
635C4⋊C4×D79C2314yes—
636C4⋊C4×D79C2314yes—
637C4⋊C4×D79C2314yes—
638C2×(C2×D79)⋊C4C2312yes—
639C2×(C2×D79)⋊C4C2312yes—
640C22⋊C4×D79C2314yes—
641C22⋊C4×D79C2314yes—
642C22⋊C4×D79C2314yes—
643C2×C4×Dic79C2314yes—
644C2×C4×Dic79C2312yes—
645C42×D79C2314yes—
646C42×D79C2312yes—
647C2×#41×C79C2311yescharacteristic
648C2×#41×C79C2312yes—
649C4⋊Q8×C79C2311yescharacteristic
650C4⋊Q8×C79C2312yes—
651C4⋊Q8×C79C2311yescharacteristic
652#126×C79C2314yes—
653#126×C79C2314yes—
654#126×C79C2312yes—
655#126×C79C2314yes—
656#125×C79C2314yes—
657#125×C79C2314yes—
658#125×C79C2312yes—
659#125×C79C2312yes—
660#125×C79C2314yes—
661#125×C79C2314yes—
662#125×C79C2312yes—
663#125×C79C2311yescharacteristic
664#125×C79C2312yes—
665#124×C79C2311yescharacteristic
666#123×C79C2314yes—
667#123×C79C2314yes—
668#123×C79C2314yes—
669#123×C79C2314yes—
670#123×C79C2312yes—
671C22⋊Q8×C79C2312yes—
672C22⋊Q8×C79C2312yes—
673C22⋊Q8×C79C2312yes—
674C22⋊Q8×C79C2312yes—
675C22⋊Q8×C79C2314yes—
676C22⋊Q8×C79C2314yes—
677C22⋊Q8×C79C2312yes—
678C22⋊Q8×C79C2311yescharacteristic
679#121×C79C2314yes—
680#121×C79C2311yescharacteristic
681#121×C79C2312yes—
682C4×Q8×C79C2312yes—
683C4×Q8×C79C2312yes—
684C4×Q8×C79C2311yescharacteristic
685C4×Q8×C79C2311yescharacteristic
686C4×Q8×C79C2312yes—
687C4×Q8×C79C2311yescharacteristic
688C4×Q8×C79C2312yes—
689C4×D4×C79C2314yes—
690C4×D4×C79C2314yes—
691C4×D4×C79C2312yes—
692C4×D4×C79C2312yes—
693C4×D4×C79C2311yescharacteristic
694C4×D4×C79C2312yes—
695C4×D4×C79C2311yescharacteristic
696C4×D4×C79C2311yescharacteristic
697C4×D4×C79C2312yes—
698C4×D4×C79C2312yes—
699#117×C79C2312yes—
700#117×C79C2312yes—
701#117×C79C2312yes—
702#117×C79C2314yes—
703#117×C79C2311yescharacteristic
704#117×C79C2314yes—
705C2×C4⋊C4×C79C2314yes—
706C2×C4⋊C4×C79C2312yes—
707C2×C4⋊C4×C79C2312yes—
708C2×C4⋊C4×C79C2314yes—
709C2×C4⋊C4×C79C2312yes—
710C2×C42×C79C2312yes—
711C2×C42×C79C2311yescharacteristic
712C23×D79C2412yes—
713#11929625—44no—
714#11929624—44no—
715C2×Dic158—42no—
716C2×Dic158—44no—
717C2×Dic158C2412yes—
718C2×Dic158C2412yes—
719C2×Dic158C2414yes—
720C2×Dic158C2414yes—
721C2×Dic158C2414yes—
722C2×Dic158C2412yes—
723C2×Dic158C2412yes—
724C2×Dic158C2412yes—
725C2×Dic158C2414yes—
726C2×Dic158C2411yescharacteristic
727C2×Dic158C2412yes—
728C2×Dic158C2412yes—
729C2×Dic158C2412yes—
730Q8×D79—44no—
731Q8×D79—44no—
732C2×D316—42no—
733C2×D316C2412yes—
734C2×D316C2414yes—
735C2×D316C2414yes—
736C2×D316C2411yescharacteristic
737C2×D316C2412yes—
738C2×C22⋊D79C2414yes—
739C2×C22⋊D79C2414yes—
740C2×C22⋊D79C2412yes—
741C2×C22⋊D79C2412yes—
742C2×C22⋊D79C2412yes—
743C2×C22⋊D79C2414yes—
744C2×C22⋊D79C2414yes—
745C2×C22⋊D79C2414yes—
746C22×Dic79C2414yes—
747C22×Dic79C2412yes—
748C22×Dic79C2412yes—
749C22×Dic79C2412yes—
750C2×C4×D79C2412yes—
751C2×C4×D79C2414yes—
752C2×C4×D79C2414yes—
753C2×C4×D79C2414yes—
754C2×C4×D79C2414yes—
755C2×C4×D79C2414yes—
756C2×C4×D79C2414yes—
757C2×C4×D79C2412yes—
758C2×C4×D79C2412yes—
759C2×C4×D79C2414yes—
760C2×C4×D79C2414yes—
761C4⋊Dic79C2412yes—
762C4⋊Dic79C2414yes—
763C4⋊Dic79C2414yes—
764C4⋊Dic79C2414yes—
765C4⋊Dic79C2414yes—
766C4⋊Dic79C2412yes—
767C4⋊Dic79C2412yes—
768C4⋊Dic79C2414yes—
769C4⋊Dic79C2412yes—
770C4⋊Dic79C2414yes—
771C4⋊Dic79C2414yes—
772C4⋊Dic79C2414yes—
773C4⋊Dic79C2414yes—
774C4⋊Dic79C2411yescharacteristic
775C4⋊Dic79C2412yes—
776C4⋊Dic79C2412yes—
777C4⋊Dic79C2411yescharacteristic
778C4⋊Dic79C2412yes—
779C4⋊Dic79C2411yescharacteristic
780C4⋊Dic79C2411yescharacteristic
781C4⋊Dic79C2411yescharacteristic
782C4⋊Dic79C2411yescharacteristic
783C4⋊Dic79C2412yes—
784C4⋊Dic79C2412yes—
785C4⋊Dic79C2412yes—
786Dic79⋊C4C2412yes—
787Dic79⋊C4C2414yes—
788Dic79⋊C4C2412yes—
789Dic79⋊C4C2414yes—
790Dic79⋊C4C2414yes—
791Dic79⋊C4C2414yes—
792Dic79⋊C4C2414yes—
793Dic79⋊C4C2414yes—
794Dic79⋊C4C2414yes—
795Dic79⋊C4C2414yes—
796Dic79⋊C4C2414yes—
797Dic79⋊C4C2414yes—
798Dic79⋊C4C2414yes—
799Dic79⋊C4C2414yes—
800Dic79⋊C4C2412yes—
801Dic79⋊C4C2412yes—
802Dic79⋊C4C2412yes—
803Dic79⋊C4C2412yes—
804Dic79⋊C4C2412yes—
805Dic79⋊C4C2412yes—
806Dic79⋊C4C2414yes—
807Dic79⋊C4C2414yes—
808Dic79⋊C4C2412yes—
809Dic79⋊C4C2412yes—
810Dic79⋊C4C2414yes—
811Dic79⋊C4C2414yes—
812Dic79⋊C4C2414yes—
813Dic79⋊C4C2414yes—
814Dic79⋊C4C2412yes—
815Dic79⋊C4C2412yes—
816Dic79⋊C4C2412yes—
817Dic79⋊C4C2412yes—
818Dic79⋊C4C2414yes—
819Dic79⋊C4C2414yes—
820Dic79⋊C4C2414yes—
821Dic79⋊C4C2412yes—
822Dic79⋊C4C2412yes—
823C22⋊Dic79C2412yes—
824C22⋊Dic79C2412yes—
825C22⋊Dic79C2414yes—
826C22⋊Dic79C2412yes—
827C22⋊Dic79C2414yes—
828C22⋊Dic79C2412yes—
829C22⋊Dic79C2414yes—
830C22⋊Dic79C2414yes—
831C22⋊Dic79C2414yes—
832C22⋊Dic79C2412yes—
833C22⋊Dic79C2412yes—
834C22⋊Dic79C2414yes—
835C22⋊Dic79C2412yes—
836C22⋊Dic79C2414yes—
837(C2×D79)⋊C4C2414yes—
838(C2×D79)⋊C4C2414yes—
839(C2×D79)⋊C4C2414yes—
840(C2×D79)⋊C4C2414yes—
841(C2×D79)⋊C4C2414yes—
842(C2×D79)⋊C4C2414yes—
843(C2×D79)⋊C4C2414yes—
844(C2×D79)⋊C4C2414yes—
845(C2×D79)⋊C4C2414yes—
846(C2×D79)⋊C4C2414yes—
847(C2×D79)⋊C4C2412yes—
848(C2×D79)⋊C4C2412yes—
849(C2×D79)⋊C4C2414yes—
850(C2×D79)⋊C4C2414yes—
851(C2×D79)⋊C4C2412yes—
852(C2×D79)⋊C4C2412yes—
853(C2×D79)⋊C4C2414yes—
854(C2×D79)⋊C4C2414yes—
855(C2×D79)⋊C4C2414yes—
856(C2×D79)⋊C4C2414yes—
857(C2×D79)⋊C4C2414yes—
858(C2×D79)⋊C4C2414yes—
859(C2×D79)⋊C4C2414yes—
860(C2×D79)⋊C4C2412yes—
861(C2×D79)⋊C4C2412yes—
862(C2×D79)⋊C4C2412yes—
863(C2×D79)⋊C4C2412yes—
864C4×Dic79C2412yes—
865C4×Dic79C2412yes—
866C4×Dic79C2414yes—
867C4×Dic79C2412yes—
868C4×Dic79C2414yes—
869C4×Dic79C2414yes—
870C4×Dic79C2414yes—
871C4×Dic79C2414yes—
872C4×Dic79C2412yes—
873C4×Dic79C2412yes—
874C4×Dic79C2412yes—
875C4×Dic79C2412yes—
876C4×Dic79C2414yes—
877C4×Dic79C2414yes—
878C4×Dic79C2414yes—
879C4×Dic79C2414yes—
880C4×Dic79C2414yes—
881C4×Dic79C2414yes—
882C4×Dic79C2414yes—
883#41×C79—42no—
884#41×C79—44no—
885C2×Q8×C79C2411yescharacteristic
886C2×Q8×C79C2412yes—
887C2×Q8×C79C2411yescharacteristic
888C2×Q8×C79C2412yes—
889C2×D4×C79C2411yescharacteristic
890C2×D4×C79C2411yescharacteristic
891C2×D4×C79C2412yes—
892C2×D4×C79C2414yes—
893C2×D4×C79C2412yes—
894C22×C4×C79C2412yes—
895C22×C4×C79C2411yescharacteristic
896C22×C4×C79C2412yes—
897C22×C4×C79C2412yes—
898C22×C4×C79C2412yes—
899C22×C4×C79C2411yescharacteristic
900C22×C4×C79C2411yescharacteristic
901C22×C4×C79C2414yes—
902C22×C4×C79C2414yes—
903C22×C4×C79C2414yes—
904C4⋊C4×C79C2411yescharacteristic
905C4⋊C4×C79C2414yes—
906C4⋊C4×C79C2412yes—
907C4⋊C4×C79C2411yescharacteristic
908C4⋊C4×C79C2412yes—
909C4⋊C4×C79C2411yescharacteristic
910C4⋊C4×C79C2412yes—
911C4⋊C4×C79C2412yes—
912C4⋊C4×C79C2414yes—
913C4⋊C4×C79C2412yes—
914C4⋊C4×C79C2414yes—
915C4⋊C4×C79C2414yes—
916C4⋊C4×C79C2414yes—
917C4⋊C4×C79C2414yes—
918C4⋊C4×C79C2414yes—
919C4⋊C4×C79C2414yes—
920C4⋊C4×C79C2412yes—
921C4⋊C4×C79C2412yes—
922C4⋊C4×C79C2411yescharacteristic
923C4⋊C4×C79C2412yes—
924C4⋊C4×C79C2414yes—
925C4⋊C4×C79C2412yes—
926C4⋊C4×C79C2412yes—
927C4⋊C4×C79C2414yes—
928C22⋊C4×C79C2412yes—
929C22⋊C4×C79C2412yes—
930C22⋊C4×C79C2412yes—
931C22⋊C4×C79C2414yes—
932C22⋊C4×C79C2412yes—
933C22⋊C4×C79C2412yes—
934C22⋊C4×C79C2412yes—
935C22⋊C4×C79C2414yes—
936C22⋊C4×C79C2414yes—
937C22⋊C4×C79C2414yes—
938C22⋊C4×C79C2412yes—
939C22⋊C4×C79C2412yes—
940C42×C79C2411yescharacteristic
941C42×C79C2412yes—
942C42×C79C2411yescharacteristic
943C42×C79C2411yescharacteristic
944C42×C79C2412yes—
945C42×C79C2411yescharacteristic
946C42×C79C2412yes—
947C42×C79C2414yes—
948C42×C79C2414yes—
949C42×C79C2412yes—
950C23×C79C2511yescharacteristic
951C23×C79C2512yes—
952C23×C79C2512yes—
953C22×D79—42no—
954C22×D79—42no—
955C22×D79—42no—
956C22×D79C2514yes—
957C22×D79C2512yes—
958Q8×C79—22no—
959Q8×C79—24no—
960Q8×C79—41no—
961Q8×C79—42no—
962D4×C79—22no—
963D4×C79—41no—
964D4×C79—42no—
965D4×C79—42no—
966D4×C79—44no—
967C2×C4×C79—22no—
968C2×C4×C79—24no—
969C2×C4×C79—41no—
970C2×C4×C79—42no—
971C2×C4×C79—42no—
972C2×C4×C79—41no—
973C2×C4×C79—44no—
974C2×C4×C79—44no—
975C2×C4×C79—44no—
976C2×C4×C79—42no—
977C2×C4×C79C2512yes—
978C2×C4×C79C2511yescharacteristic
979C2×C4×C79C2512yes—
980C2×C4×C79C2514yes—
981C2×C4×C79C2512yes—
982C2×C4×C79C2512yes—
983C2×C4×C79C2512yes—
984C2×C4×C79C2514yes—
985C2×C4×C79C2512yes—
986C2×C4×C79C2511yescharacteristic
987C2×C4×C79C2511yescharacteristic
988C2×C4×C79C2511yescharacteristic
989C2×C4×C79C2511yescharacteristic
990C2×C4×C79C2511yescharacteristic
991C22⋊D79—44no—
992C22⋊D79—42no—
993C22⋊D79—44no—
994C22⋊D79—44no—
995C22⋊D79—44no—
996C22⋊D79—42no—
997C22⋊D79—42no—
998C22⋊D79—44no—
999C2×Dic79—42no—
1000C2×Dic79—42no—
1001C2×Dic79—44no—
1002C2×Dic79—42no—
1003C2×Dic79C2512yes—
1004C2×Dic79C2512yes—
1005C2×Dic79C2514yes—
1006C2×Dic79C2512yes—
1007C2×Dic79C2514yes—
1008C2×Dic79C2512yes—
1009C2×Dic79C2512yes—
1010C2×Dic79C2512yes—
1011C2×Dic79C2514yes—
1012C2×Dic79C2512yes—
1013D316—24no—
1014D316—42no—
1015D316—41no—
1016D316—44no—
1017D316—44no—
1018C4×D79—24no—
1019C4×D79—44no—
1020C4×D79—44no—
1021C4×D79—42no—
1022C4×D79—44no—
1023C4×D79—42no—
1024C4×D79—44no—
1025C4×D79—44no—
1026C4×D79—44no—
1027C4×D79—44no—
1028C4×D79—44no—
1029Dic158—24no—
1030Dic158—24no—
1031Dic158—44no—
1032Dic158—44no—
1033Dic158—44no—
1034Dic158—42no—
1035Dic158—42no—
1036Dic158—42no—
1037Dic158—44no—
1038Dic158—42no—
1039Dic158—42no—
1040Dic158—42no—
1041Dic158—41no—
1042C22×C79—22no—
1043C22×C79—21no—
1044C22×C79—22no—
1045C22×C79—22no—
1046C22×C79—22no—
1047C22×C79—22no—
1048C22×C79—21no—
1049C22×C79—22no—
1050C22×C79—21no—
1051C22×C79C2611yescharacteristic
1052C2×D79—24no—
1053C2×D79—22no—
1054C2×D79—22no—
1055C2×D79—24no—
1056C2×D79—24no—
1057C2×D79—22no—
1058C2×D79—162no—
1059C4×C79—22no—
1060C4×C79—21no—
1061C4×C79—22no—
1062C4×C79—24no—
1063C4×C79—21no—
1064C4×C79—21no—
1065C4×C79—22no—
1066C4×C79—22no—
1067C4×C79—24no—
1068C4×C79—21no—
1069C4×C79—21no—
1070C4×C79—22no—
1071C4×C79—22no—
1072C4×C79#58512yes—
1073Dic79—24no—
1074Dic79—24no—
1075Dic79—22no—
1076Dic79—22no—
1077Dic79—24no—
1078Dic79—22no—
1079Dic79—22no—
1080Dic79—22no—
1081Dic79—22no—
1082Dic79—22no—
1083#63062—791nomaximal, Sylow
1084C2×C79—41no—
1085C2×C79—42no—
1086C2×C79—42no—
1087C2×C79C2×#58511yescharacteristic
1088C2×C792−1+611yescharacteristic
1089C2×C792−1+611yescharacteristic
1090D79—42no—
1091D79—44no—
1092#3567—792no—
1093#3566—794no—
1094#3566—794no—
1095#3565—794no—
1096#3564—794no—
1097#3564—794no—
1098#3563—792no—
1099#3562—792no—
1100#3561—791no—
1101#3561—791no—
1102#3557—792no—
1103#3557—794no—
1104#3556—791no—
1105#3555—792no—
1106#3554—792no—
1107#3553—792no—
1108#3552—792no—
1109#3552—792no—
1110#3531—791no—
1111#3531—792no—
1112#3524—792no—
1113#3523—792no—
1114#3521—792no—
1115#3518—791no—
1116#3516—792no—
1117#3515D7911yescharacteristic, complemented
1118#3510—791no—
1119#3509—792no—
1120#3507—792no—
1121C79#6306211yescharacteristic, complemented, Sylow
1122#564—792no—
1123#564—791no—
1124#564—792no—
1125#563—794no—
1126#563—794no—
1127#563—792no—
1128#563—792no—
1129#563—794no—
1130#563—792no—
1131#563—792no—
1132#563—791no—
1133#563—794no—
1134#563—791no—
1135#563—792no—
1136#563—794no—
1137#563—794no—
1138#563—792no—
1139#563—794no—
1140#563—794no—
1141#562—792no—
1142#562—792no—
1143#562—791no—
1144#562—794no—
1145#562—792no—
1146#562—794no—
1147#562—792no—
1148#562—794no—
1149#560—794no—
1150#559—794no—
1151#559—792no—
1152#559—792no—
1153#559—792no—
1154#559—794no—
1155Q82—791no—
1156#557—792no—
1157#557—792no—
1158#557—792no—
1159#557—792no—
1160#557—794no—
1161#557—792no—
1162#557—792no—
1163#557—792no—
1164#557—792no—
1165#557—792no—
1166#557C2×D7911yescharacteristic, complemented
1167#556—792no—
1168#556—794no—
1169#556—794no—
1170#556—794no—
1171#556—792no—
1172#556—792no—
1173#556—792no—
1174#556—792no—
1175#556—792no—
1176#556—792no—
1177#556—791no—
1178#556—792no—
1179#556—792no—
1180#556—794no—
1181#556—794no—
1182#555—792no—
1183#555—791no—
1184#555—794no—
1185#554—792no—
1186#554—794no—
1187#554—794no—
1188#554—794no—
1189#554—794no—
1190#554—794no—
1191#554C2×D7911yescharacteristic, complemented
1192#554C2×D7911yescharacteristic, complemented
1193#553—794no—
1194#553—794no—
1195#553—794no—
1196#553—794no—
1197#553—792no—
1198#553—794no—
1199#553—794no—
1200#553C2×D7912yes—
1201#552—794no—
1202#552—794no—
1203#552—794no—
1204#552—794no—
1205#552—794no—
1206#552—794no—
1207#552—794no—
1208#552—794no—
1209#552—794no—
1210#552—794no—
1211#552—794no—
1212#552—794no—
1213#552—792no—
1214#552—794no—
1215#552—794no—
1216#552C2×D7912yes—
1217#552C2×D7912yes—
1218#552C2×D7914yescomplemented
1219#551—794no—
1220#551—794no—
1221#551—794no—
1222#551—794no—
1223#551—794no—
1224#551—794no—
1225#551—794no—
1226#550—792no—
1227D4×Q8—792no—
1228D4×Q8—792no—
1229D4×Q8—792no—
1230D4×Q8—791no—
1231D4×Q8—792no—
1232#548—792no—
1233#548—792no—
1234#548—792no—
1235#548—792no—
1236#548—792no—
1237#547—792no—
1238#547C2×D7912yes—
1239#547C2×D7911yescharacteristic, complemented
1240#546—792no—
1241#546—792no—
1242#544—794no—
1243#544—794no—
1244#544—794no—
1245#543—792no—
1246#543—792no—
1247#542—792no—
1248#542—794no—
1249#542—794no—
1250#542—794no—
1251#542—794no—
1252#542—794no—
1253#542—792no—
1254#542—794no—
1255#542—794no—
1256#542—794no—
1257#542—794no—
1258#542—792no—
1259#542—792no—
1260#542—792no—
1261#542—792no—
1262#542—794no—
1263#541—794no—
1264#541—794no—
1265#541—794no—
1266#541—794no—
1267#541—794no—
1268#541—794no—
1269#541—794no—
1270#541—792no—
1271#541—794no—
1272#541—792no—
1273#541—792no—
1274#541—794no—
1275#541—792no—
1276#541—794no—
1277#541C2×D7912yescomplemented
1278#540—794no—
1279#540—794no—
1280#540—792no—
1281#540—794no—
1282#539—794no—
1283#539—794no—
1284#539—794no—
1285#539—794no—
1286#539—794no—
1287#539—794no—
1288#539—794no—
1289#539—794no—
1290#539—794no—
1291#539—794no—
1292#539—794no—
1293#539—794no—
1294#539C2×D7914yes—
1295#538—794no—
1296#538—794no—
1297#538—792no—
1298#538—794no—
1299#538—792no—
1300#536—792no—
1301#536—791no—
1302#536—792no—
1303#536—792no—
1304#536—792no—
1305#535—791no—
1306#533—794no—
1307#533—792no—
1308#533—792no—
1309#533—794no—
1310#533—792no—
1311#533—794no—
1312#533—791no—
1313#533—792no—
1314#533—791no—
1315#533C2×D7911yescharacteristic
1316#532—792no—
1317C2×C4⋊Q8—792no—
1318#529—792no—
1319#529—794no—
1320#529—792no—
1321#529—794no—
1322#529—794no—
1323#529—794no—
1324#529—792no—
1325#529—794no—
1326#529—792no—
1327#529—792no—
1328#529—794no—
1329#529—792no—
1330#529—794no—
1331#529—792no—
1332#529—794no—
1333#529—792no—
1334#529—792no—
1335#529—791no—
1336#529—792no—
1337#529C2×D7911yescharacteristic
1338#529C2×D7912yescomplemented
1339C2×#126—794no—
1340C2×#125C2×D7912yescomplemented
1341C2×#124—791no—
1342#520—792no—
1343#520C2×D7912yescomplemented
1344#519—792no—
1345#519—792no—
1346#519—791no—
1347#518—791no—
1348C4×#41—792no—
1349C4×#41C2×D7911yescharacteristic
1350C2×C4×Q8—792no—
1351C2×#41—792no—
1352C2×#41—792no—
1353C2×#41C22×D7911yescharacteristic
1354C2×#41C22×D7912yes—
1355C22×Q8—792no—
1356C22×Q8—792no—
1357C22×Q8—792no—
1358C22×Q8—791no—
1359C22×D4—791no—
1360C4⋊Q8—792no—
1361C4⋊Q8—792no—
1362C4⋊Q8—792no—
1363C4⋊Q8—792no—
1364C4⋊Q8—792no—
1365C4⋊Q8—794no—
1366C4⋊Q8—794no—
1367C4⋊Q8—794no—
1368C4⋊Q8—792no—
1369C4⋊Q8—792no—
1370C4⋊Q8—792no—
1371C4⋊Q8—794no—
1372C4⋊Q8—794no—
1373C4⋊Q8—792no—
1374C4⋊Q8—794no—
1375C4⋊Q8—794no—
1376C4⋊Q8—794no—
1377C4⋊Q8—794no—
1378C4⋊Q8—792no—
1379C4⋊Q8—791no—
1380C4⋊Q8—792no—
1381C4⋊Q8—791no—
1382C4⋊Q8—791no—
1383C4⋊Q8—791no—
1384C4⋊Q8—792no—
1385C4⋊Q8—794no—
1386C4⋊Q8C22×D7912yes—
1387C4⋊Q8C22×D7911yescharacteristic
1388C4⋊Q8C22×D7911yescharacteristic
1389#127—792no—
1390#127—794no—
1391#126—794no—
1392#126—794no—
1393#126—794no—
1394#126—792no—
1395#126—794no—
1396#126—794no—
1397#126—794no—
1398#126—794no—
1399#126—792no—
1400#126—792no—
1401#126—794no—
1402#126—794no—
1403#126—794no—
1404#126—794no—
1405#126—794no—
1406#126—794no—
1407#126—794no—
1408#126—794no—
1409#126—794no—
1410#126—794no—
1411#126—792no—
1412#126—794no—
1413#126—794no—
1414#126—792no—
1415#126—794no—
1416#126—792no—
1417#126—794no—
1418#126—792no—
1419#126—794no—
1420#126—794no—
1421#126—792no—
1422#126—794no—
1423#126—794no—
1424#126—794no—
1425#126—794no—
1426#126—794no—
1427#126—794no—
1428#126—794no—
1429#126—794no—
1430#126—794no—
1431#126—794no—
1432#126—792no—
1433#126—794no—
1434#126C22×D7914yes—
1435#126C22×D7912yes—
1436#126C22×D7914yes—
1437#126C22×D7914yes—
1438#125—792no—
1439#125—794no—
1440#125—794no—
1441#125—794no—
1442#125—794no—
1443#125—794no—
1444#125—792no—
1445#125—794no—
1446#125—794no—
1447#125—792no—
1448#125—794no—
1449#125—792no—
1450#125—792no—
1451#125—792no—
1452#125—794no—
1453#125—794no—
1454#125—794no—
1455#125—792no—
1456#125—792no—
1457#125—792no—
1458#125—792no—
1459#125—794no—
1460#125—794no—
1461#125—794no—
1462#125—794no—
1463#125—794no—
1464#125—794no—
1465#125—794no—
1466#125—794no—
1467#125—794no—
1468#125—794no—
1469#125—794no—
1470#125—794no—
1471#125—794no—
1472#125—794no—
1473#125—794no—
1474#125—791no—
1475#125—791no—
1476#125—792no—
1477#125—791no—
1478#125—794no—
1479#125—794no—
1480#125C22×D7911yescharacteristic
1481#125C22×D7912yes—
1482#125C22×D7914yes—
1483#125C22×D7914yes—
1484#125C22×D7912yes—
1485#125C22×D7912yes—
1486#125C22×D7912yes—
1487#125C22×D7914yes—
1488#125C22×D7914yes—
1489#124—792no—
1490#124—794no—
1491#124—792no—
1492#124—792no—
1493#124—794no—
1494#124—792no—
1495#124—792no—
1496#124—794no—
1497#124—792no—
1498#124—794no—
1499#124—794no—
1500#124—794no—
1501#124—794no—
1502#124—794no—
1503#124—794no—
1504#124—792no—
1505#124—792no—
1506#124—794no—
1507#124—794no—
1508#124—794no—
1509#124—794no—
1510#124—792no—
1511#124—792no—
1512#124—792no—
1513#124—792no—
1514#124—791no—
1515#124—792no—
1516#124—794no—
1517#124C22×D7911yescharacteristic
1518#123—792no—
1519#123—794no—
1520#123—794no—
1521#123—792no—
1522#123—794no—
1523#123—794no—
1524#123—794no—
1525#123—794no—
1526#123—794no—
1527#123—792no—
1528#123—794no—
1529#123—794no—
1530#123—794no—
1531#123—792no—
1532#123—794no—
1533#123—794no—
1534#123—794no—
1535#123—794no—
1536#123—794no—
1537#123—794no—
1538#123—794no—
1539#123—794no—
1540#123—794no—
1541#123—794no—
1542#123—792no—
1543#123—794no—
1544#123—794no—
1545#123—794no—
1546#123—792no—
1547#123—792no—
1548#123—792no—
1549#123—794no—
1550#123—794no—
1551#123—792no—
1552#123—794no—
1553#123—794no—
1554#123—794no—
1555#123—794no—
1556#123—794no—
1557#123C22×D7914yes—
1558#123C22×D7912yes—
1559#123C22×D7914yes—
1560#123C22×D7914yes—
1561#123C22×D7914yes—
1562C22⋊Q8—792no—
1563C22⋊Q8—794no—
1564C22⋊Q8—794no—
1565C22⋊Q8—792no—
1566C22⋊Q8—792no—
1567C22⋊Q8—792no—
1568C22⋊Q8—791no—
1569C22⋊Q8—792no—
1570C22⋊Q8—794no—
1571C22⋊Q8—792no—
1572C22⋊Q8—792no—
1573C22⋊Q8—792no—
1574C22⋊Q8—792no—
1575C22⋊Q8—794no—
1576C22⋊Q8—794no—
1577C22⋊Q8—794no—
1578C22⋊Q8—794no—
1579C22⋊Q8—794no—
1580C22⋊Q8—792no—
1581C22⋊Q8—794no—
1582C22⋊Q8—792no—
1583C22⋊Q8—792no—
1584C22⋊Q8—794no—
1585C22⋊Q8—792no—
1586C22⋊Q8—794no—
1587C22⋊Q8—794no—
1588C22⋊Q8—794no—
1589C22⋊Q8—794no—
1590C22⋊Q8—794no—
1591C22⋊Q8—794no—
1592C22⋊Q8—794no—
1593C22⋊Q8—792no—
1594C22⋊Q8—794no—
1595C22⋊Q8—792no—
1596C22⋊Q8—792no—
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—794no—
1607C22⋊Q8—794no—
1608C22⋊Q8—794no—
1609C22⋊Q8—794no—
1610C22⋊Q8—792no—
1611C22⋊Q8—792no—
1612C22⋊Q8—794no—
1613C22⋊Q8—792no—
1614C22⋊Q8—794no—
1615C22⋊Q8—792no—
1616C22⋊Q8—792no—
1617C22⋊Q8—792no—
1618C22⋊Q8—794no—
1619C22⋊Q8—794no—
1620C22⋊Q8—794no—
1621C22⋊Q8—794no—
1622C22⋊Q8C22×D7914yes—
1623C22⋊Q8C22×D7912yes—
1624C22⋊Q8C22×D7911yescharacteristic
1625C22⋊Q8C22×D7912yes—
1626C22⋊Q8C22×D7912yes—
1627C22⋊Q8C22×D7912yes—
1628C22⋊Q8C22×D7912yes—
1629C22⋊Q8C22×D7914yes—
1630#121—792no—
1631#121—794no—
1632#121—792no—
1633#121—794no—
1634#121—794no—
1635#121—792no—
1636#121—792no—
1637#121—794no—
1638#121—794no—
1639#121—794no—
1640#121—792no—
1641#121—792no—
1642#121—791no—
1643#121—794no—
1644#121—792no—
1645#121—792no—
1646#121—794no—
1647#121—794no—
1648#121—792no—
1649#121—794no—
1650#121—794no—
1651#121—794no—
1652#121—792no—
1653#121—794no—
1654#121—794no—
1655#121—794no—
1656#121C22×D7911yescharacteristic
1657#121C22×D7912yes—
1658#121C22×D7914yes—
1659#120—794no—
1660#120—794no—
1661#120—794no—
1662C4×Q8—792no—
1663C4×Q8—792no—
1664C4×Q8—792no—
1665C4×Q8—794no—
1666C4×Q8—792no—
1667C4×Q8—792no—
1668C4×Q8—792no—
1669C4×Q8—794no—
1670C4×Q8—792no—
1671C4×Q8—794no—
1672C4×Q8—792no—
1673C4×Q8—794no—
1674C4×Q8—794no—
1675C4×Q8—792no—
1676C4×Q8—794no—
1677C4×Q8—794no—
1678C4×Q8—794no—
1679C4×Q8—794no—
1680C4×Q8—794no—
1681C4×Q8—794no—
1682C4×Q8—792no—
1683C4×Q8—792no—
1684C4×Q8—792no—
1685C4×Q8—792no—
1686C4×Q8—794no—
1687C4×Q8—794no—
1688C4×Q8—792no—
1689C4×Q8—791no—
1690C4×Q8—792no—
1691C4×Q8—792no—
1692C4×Q8—792no—
1693C4×Q8—792no—
1694C4×Q8—794no—
1695C4×Q8—794no—
1696C4×Q8—792no—
1697C4×Q8C22×D7912yes—
1698C4×Q8C22×D7911yescharacteristic
1699C4×Q8C22×D7911yescharacteristic
1700C4×Q8C22×D7912yes—
1701C4×Q8C22×D7911yescharacteristic
1702C4×Q8C22×D7912yes—
1703C4×Q8C22×D7912yes—
1704C4×D4—794no—
1705C4×D4—794no—
1706C4×D4—794no—
1707C4×D4—792no—
1708C4×D4—792no—
1709C4×D4—792no—
1710C4×D4—794no—
1711C4×D4—794no—
1712C4×D4—794no—
1713C4×D4—794no—
1714C4×D4—794no—
1715C4×D4—794no—
1716C4×D4—794no—
1717C4×D4—794no—
1718C4×D4—794no—
1719C4×D4—794no—
1720C4×D4—792no—
1721C4×D4—794no—
1722C4×D4—792no—
1723C4×D4—792no—
1724C4×D4—794no—
1725C4×D4—794no—
1726C4×D4—794no—
1727C4×D4—794no—
1728C4×D4—794no—
1729C4×D4—794no—
1730C4×D4—794no—
1731C4×D4—792no—
1732C4×D4—794no—
1733C4×D4—792no—
1734C4×D4—792no—
1735C4×D4—791no—
1736C4×D4—792no—
1737C4×D4—794no—
1738C4×D4C22×D7911yescharacteristic
1739C4×D4C22×D7912yes—
1740C4×D4C22×D7911yescharacteristic
1741C4×D4C22×D7912yes—
1742C4×D4C22×D7914yes—
1743C4×D4C22×D7914yes—
1744C4×D4C22×D7912yes—
1745C4×D4C22×D7912yes—
1746C4×D4C22×D7911yescharacteristic
1747C4×D4C22×D7912yes—
1748#117—791no—
1749#117—791no—
1750#117—792no—
1751#117—794no—
1752#117—792no—
1753#117—792no—
1754#117—794no—
1755#117—794no—
1756#117—792no—
1757#117—792no—
1758#117—794no—
1759#117—794no—
1760#117—794no—
1761#117—794no—
1762#117—794no—
1763#117—794no—
1764#117—794no—
1765#117—794no—
1766#117—794no—
1767#117—794no—
1768#117—792no—
1769#117—792no—
1770#117—794no—
1771#117—794no—
1772#117—794no—
1773#117—794no—
1774#117—794no—
1775#117—794no—
1776#117C22×D7911yescharacteristic
1777#117C22×D7912yes—
1778#117C22×D7912yes—
1779#117C22×D7914yes—
1780#117C22×D7914yes—
1781#117C22×D7912yes—
1782C2×C4⋊C4—794no—
1783C2×C4⋊C4—794no—
1784C2×C4⋊C4—794no—
1785C2×C4⋊C4—794no—
1786C2×C4⋊C4—794no—
1787C2×C4⋊C4—794no—
1788C2×C4⋊C4C22×D7912yes—
1789C2×C4⋊C4C22×D7914yes—
1790C2×C4⋊C4C22×D7912yes—
1791C2×C4⋊C4C22×D7912yes—
1792C2×C4⋊C4C22×D7914yes—
1793C2×C22⋊C4—792no—
1794C2×C22⋊C4—792no—
1795C2×C22⋊C4—794no—
1796C2×C22⋊C4—794no—
1797C2×C22⋊C4—794no—
1798C2×C42—794no—
1799C2×C42—792no—
1800C2×C42—794no—
1801C2×C42—792no—
1802C2×C42C22×D7911yescharacteristic
1803C2×C42C22×D7912yes—
1804C24—792no—
1805#41—42no—
1806#41—44no—
1807#41—3164no—
1808#41—3164no—
1809C2×Q8—3162no—
1810C2×Q8—3164no—
1811C2×Q8—3164no—
1812C2×Q8—3164no—
1813C2×Q8—792no—
1814C2×Q8—791no—
1815C2×Q8—794no—
1816C2×Q8—792no—
1817C2×Q8—792no—
1818C2×Q8—792no—
1819C2×Q8—792no—
1820C2×Q8—794no—
1821C2×Q8—794no—
1822C2×Q8—792no—
1823C2×Q8—794no—
1824C2×Q8—792no—
1825C2×Q8—792no—
1826C2×Q8C23×D7911yescharacteristic
1827C2×Q8C23×D7912yes—
1828C2×Q8C23×D7912yes—
1829C2×Q8C23×D7911yescharacteristic
1830C2×D4—3162no—
1831C2×D4—792no—
1832C2×D4—794no—
1833C2×D4—794no—
1834C2×D4—794no—
1835C2×D4—792no—
1836C2×D4—794no—
1837C2×D4—792no—
1838C2×D4—794no—
1839C2×D4—794no—
1840C2×D4—791no—
1841C2×D4—794no—
1842C2×D4—792no—
1843C2×D4—792no—
1844C2×D4C23×D7911yescharacteristic
1845C2×D4C23×D7912yes—
1846C2×D4C23×D7911yescharacteristic
1847C2×D4C23×D7912yes—
1848C2×D4C23×D7914yes—
1849C22×C4—792no—
1850C22×C4—792no—
1851C22×C4—794no—
1852C22×C4—792no—
1853C22×C4—794no—
1854C22×C4—794no—
1855C22×C4—794no—
1856C22×C4—792no—
1857C22×C4—792no—
1858C22×C4—794no—
1859C22×C4—794no—
1860C22×C4—794no—
1861C22×C4—794no—
1862C22×C4—794no—
1863C22×C4—792no—
1864C22×C4C23×D7912yes—
1865C22×C4C23×D7911yescharacteristic
1866C22×C4C23×D7914yes—
1867C22×C4C23×D7911yescharacteristic
1868C22×C4C23×D7911yescharacteristic
1869C22×C4C23×D7912yes—
1870C22×C4C23×D7912yes—
1871C22×C4C23×D7912yes—
1872C22×C4C23×D7914yes—
1873C22×C4C23×D7914yes—
1874C4⋊C4—794no—
1875C4⋊C4—792no—
1876C4⋊C4—794no—
1877C4⋊C4—792no—
1878C4⋊C4—794no—
1879C4⋊C4—794no—
1880C4⋊C4—794no—
1881C4⋊C4—794no—
1882C4⋊C4—794no—
1883C4⋊C4—794no—
1884C4⋊C4—794no—
1885C4⋊C4—794no—
1886C4⋊C4—792no—
1887C4⋊C4—794no—
1888C4⋊C4—792no—
1889C4⋊C4—792no—
1890C4⋊C4—792no—
1891C4⋊C4—794no—
1892C4⋊C4—792no—
1893C4⋊C4—792no—
1894C4⋊C4—794no—
1895C4⋊C4—794no—
1896C4⋊C4—792no—
1897C4⋊C4—792no—
1898C4⋊C4—792no—
1899C4⋊C4—792no—
1900C4⋊C4—794no—
1901C4⋊C4—794no—
1902C4⋊C4—792no—
1903C4⋊C4—794no—
1904C4⋊C4—792no—
1905C4⋊C4—794no—
1906C4⋊C4—794no—
1907C4⋊C4—794no—
1908C4⋊C4—794no—
1909C4⋊C4—792no—
1910C4⋊C4—792no—
1911C4⋊C4—792no—
1912C4⋊C4—794no—
1913C4⋊C4—794no—
1914C4⋊C4—794no—
1915C4⋊C4—794no—
1916C4⋊C4—792no—
1917C4⋊C4—794no—
1918C4⋊C4—791no—
1919C4⋊C4—792no—
1920C4⋊C4—792no—
1921C4⋊C4—791no—
1922C4⋊C4—794no—
1923C4⋊C4—792no—
1924C4⋊C4—792no—
1925C4⋊C4—791no—
1926C4⋊C4—791no—
1927C4⋊C4—792no—
1928C4⋊C4—794no—
1929C4⋊C4—794no—
1930C4⋊C4—791no—
1931C4⋊C4—791no—
1932C4⋊C4—794no—
1933C4⋊C4—792no—
1934C4⋊C4—792no—
1935C4⋊C4—792no—
1936C4⋊C4C23×D7914yes—
1937C4⋊C4C23×D7914yes—
1938C4⋊C4C23×D7914yes—
1939C4⋊C4C23×D7914yes—
1940C4⋊C4C23×D7914yes—
1941C4⋊C4C23×D7911yescharacteristic
1942C4⋊C4C23×D7912yes—
1943C4⋊C4C23×D7911yescharacteristic
1944C4⋊C4C23×D7912yes—
1945C4⋊C4C23×D7911yescharacteristic
1946C4⋊C4C23×D7914yes—
1947C4⋊C4C23×D7914yes—
1948C4⋊C4C23×D7914yes—
1949C4⋊C4C23×D7912yes—
1950C4⋊C4C23×D7914yes—
1951C4⋊C4C23×D7912yes—
1952C4⋊C4C23×D7912yes—
1953C4⋊C4C23×D7914yes—
1954C4⋊C4C23×D7912yes—
1955C4⋊C4C23×D7912yes—
1956C4⋊C4C23×D7912yes—
1957C4⋊C4C23×D7911yescharacteristic
1958C4⋊C4C23×D7912yes—
1959C4⋊C4C23×D7912yes—
1960C22⋊C4—792no—
1961C22⋊C4—792no—
1962C22⋊C4—794no—
1963C22⋊C4—792no—
1964C22⋊C4—794no—
1965C22⋊C4—794no—
1966C22⋊C4—794no—
1967C22⋊C4—792no—
1968C22⋊C4—794no—
1969C22⋊C4—792no—
1970C22⋊C4—792no—
1971C22⋊C4—794no—
1972C22⋊C4—794no—
1973C22⋊C4—792no—
1974C22⋊C4—794no—
1975C22⋊C4—794no—
1976C22⋊C4—794no—
1977C22⋊C4—794no—
1978C22⋊C4—794no—
1979C22⋊C4—794no—
1980C22⋊C4—794no—
1981C22⋊C4—794no—
1982C22⋊C4—794no—
1983C22⋊C4—794no—
1984C22⋊C4—794no—
1985C22⋊C4—792no—
1986C22⋊C4—792no—
1987C22⋊C4—792no—
1988C22⋊C4—792no—
1989C22⋊C4—794no—
1990C22⋊C4—794no—
1991C22⋊C4—794no—
1992C22⋊C4—794no—
1993C22⋊C4—794no—
1994C22⋊C4—794no—
1995C22⋊C4—792no—
1996C22⋊C4—792no—
1997C22⋊C4—794no—
1998C22⋊C4—794no—
1999C22⋊C4—792no—
2000C22⋊C4—792no—
2001C22⋊C4C23×D7912yes—
2002C22⋊C4C23×D7912yes—
2003C22⋊C4C23×D7914yes—
2004C22⋊C4C23×D7914yes—
2005C22⋊C4C23×D7912yes—
2006C22⋊C4C23×D7912yes—
2007C22⋊C4C23×D7912yes—
2008C22⋊C4C23×D7914yes—
2009C22⋊C4C23×D7912yes—
2010C22⋊C4C23×D7912yes—
2011C22⋊C4C23×D7914yes—
2012C22⋊C4C23×D7912yes—
2013C42—792no—
2014C42—792no—
2015C42—794no—
2016C42—794no—
2017C42—794no—
2018C42—792no—
2019C42—792no—
2020C42—792no—
2021C42—792no—
2022C42—794no—
2023C42—792no—
2024C42—794no—
2025C42—794no—
2026C42—794no—
2027C42—794no—
2028C42—794no—
2029C42—794no—
2030C42—794no—
2031C42—794no—
2032C42C23×D7914yes—
2033C42C23×D7912yes—
2034C42C23×D7911yescharacteristic
2035C42C23×D7912yes—
2036C42C23×D7912yes—
2037C42C23×D7911yescharacteristic
2038C42C23×D7912yes—
2039C42C23×D7911yescharacteristic
2040C42C23×D7911yescharacteristic
2041C42C23×D7914yes—
2042C23—3162no—
2043C23—3162no—
2044C23—3162no—
2045C23—794no—
2046C23—792no—
2047C23C24×D7911yescharacteristic
2048C23C24×D7912yes—
2049C23C24×D7912yes—
2050Q8—22no—
2051Q8—24no—
2052Q8—41no—
2053Q8—42no—
2054Q8—3164no—
2055Q8—3162no—
2056Q8—3164no—
2057Q8—3164no—
2058Q8—3164no—
2059Q8—3162no—
2060Q8—3162no—
2061Q8—3162no—
2062Q8—3161no—
2063Q8—3162no—
2064Q8—3162no—
2065Q8—1584no—
2066Q8—1584no—
2067D4—22no—
2068D4—41no—
2069D4—42no—
2070D4—44no—
2071D4—42no—
2072D4—3162no—
2073D4—3164no—
2074D4—3161no—
2075D4—3164no—
2076D4—3162no—
2077D4—3164no—
2078D4—3164no—
2079D4—3164no—
2080D4—3162no—
2081D4—3164no—
2082D4—3162no—
2083D4—3164no—
2084D4—1584no—
2085C2×C4—22no—
2086C2×C4—24no—
2087C2×C4—42no—
2088C2×C4—41no—
2089C2×C4—42no—
2090C2×C4—44no—
2091C2×C4—41no—
2092C2×C4—44no—
2093C2×C4—44no—
2094C2×C4—42no—
2095C2×C4—3164no—
2096C2×C4—3164no—
2097C2×C4—3164no—
2098C2×C4—3164no—
2099C2×C4—3164no—
2100C2×C4—3162no—
2101C2×C4—3164no—
2102C2×C4—3164no—
2103C2×C4—3162no—
2104C2×C4—3164no—
2105C2×C4—3164no—
2106C2×C4—3162no—
2107C2×C4—3162no—
2108C2×C4—3162no—
2109C2×C4—792no—
2110C2×C4—792no—
2111C2×C4—794no—
2112C2×C4—792no—
2113C2×C4—792no—
2114C2×C4—792no—
2115C2×C4—794no—
2116C2×C4—792no—
2117C2×C4—792no—
2118C2×C4—794no—
2119C2×C4—1584no—
2120C2×C4C24×D7912yes—
2121C2×C4C24×D7911yescharacteristic
2122C2×C4C24×D7912yes—
2123C2×C4C24×D7914yes—
2124C2×C4C24×D7912yes—
2125C2×C4C24×D7912yes—
2126C2×C4C24×D7914yes—
2127C2×C4C24×D7912yes—
2128C2×C4C24×D7912yes—
2129C2×C4C24×D7911yescharacteristic
2130C2×C4C24×D7911yescharacteristic
2131C2×C4C24×D7911yescharacteristic
2132C2×C4C24×D7911yescharacteristic
2133C2×C4C24×D7911yescharacteristic
2134C22—22no—
2135C22—21no—
2136C22—22no—
2137C22—22no—
2138C22—21no—
2139C22—22no—
2140C22—22no—
2141C22—22no—
2142C22—21no—
2143C22—1582no—
2144C22—1584no—
2145C22—1584no—
2146C22—1582no—
2147C22—1584no—
2148C22—1582no—
2149C22—12642no—
2150C22C25×D7911yescharacteristic
2151C4—22no—
2152C4—21no—
2153C4—24no—
2154C4—22no—
2155C4—21no—
2156C4—22no—
2157C4—21no—
2158C4—22no—
2159C4—22no—
2160C4—21no—
2161C4—22no—
2162C4—24no—
2163C4—21no—
2164C4—1584no—
2165C4—1584no—
2166C4—1582no—
2167C4—1582no—
2168C4—1584no—
2169C4—1582no—
2170C4—1582no—
2171C4—1582no—
2172C4—1582no—
2173C4—1582no—
2174C4#1909939912yes—
2175C2—41no—
2176C2—42no—
2177C2—42no—
2178C2—3164no—
2179C2—3162no—
2180C2C2×#1909939911yescharacteristic
2181C2#2377821211yescharacteristic
2182C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3515C2
hypercenter#3515D79
hypocenterC79#63062
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3515

Complements

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

NH ≅ G/Ntype
1. #23778088C2semidirect
2. #23778077C2semidirect
3. #23778056C2semidirect
4. #23778039C2semidirect
5. #23778017C2semidirect
6. #23778011C2semidirect
7. #23778006C2semidirect
8. #23777993C2semidirect
9. #23777970C2semidirect
10. #23777965C2semidirect
11. #23777901C2semidirect
12. #23777896C2semidirect
13. #23777895C2semidirect
14. #23777878C2semidirect
15. #23777866C2semidirect
16. #23777856C2semidirect
17. #23777844C2semidirect
18. #23777838C2semidirect
19. #23777545C2semidirect
20. #23777545C2semidirect
21. #23777501C2semidirect
22. #23777489C2semidirect
23. #23777475C2semidirect
24. #23777417C2semidirect
25. #23777390C2semidirect
26. #23777296C2semidirect
27. #23777283C2semidirect
28. #23777258C2semidirect
29. C79×#3515C2semidirect
30. C79⋊#564C22semidirect
31. C79⋊#564C22semidirect
32. C79⋊#564C22semidirect
35. #19099317C22semidirect
36. #19099317C22semidirect
39. #19099316C22semidirect
40. #19099315C22semidirect
41. #19099315C22semidirect
42. #19099315C22semidirect
43. #19099315C22semidirect
44. #19099315C22semidirect
46. #19099314C22semidirect
47. #19099314C22semidirect
48. #19099313C22semidirect
52. #19099310C22semidirect
54. #19099308C22semidirect
56. #19099307C22semidirect
58. #19099297C22semidirect
62. #19099296C22semidirect
63. Q8×Dic158C22semidirect
64. #19099292C22semidirect
65. #19099292C22semidirect
66. #19099291C22semidirect
67. #19099291C22semidirect
68. #19099291C22semidirect
69. #19099290C22semidirect
70. #19099290C22semidirect
71. #19099288C22semidirect
72. #19099288C22semidirect
73. #19099288C22semidirect
80. #19099284C22semidirect
82. #19099283C22semidirect
83. #19099283C22semidirect
85. #19099281C22semidirect
86. #19099281C22semidirect
88. #19099280C22semidirect
90. #19099278C22semidirect
91. #19099278C22semidirect
93. #19099269C22semidirect
94. #19099268C22semidirect
95. #19099268C22semidirect
96. #19099268C22semidirect
97. #19099267C22semidirect
98. #19099264C22semidirect
99. #19099262C22semidirect
102. #19099261C22semidirect
105. #19099254C22semidirect
106. #19099252C22semidirect
108. #19099251C22semidirect
110. #19099249C22semidirect
111. #19099248C22semidirect
112. #19099248C22semidirect
113. #19099248C22semidirect
114. #19099248C22semidirect
115. #19099247C22semidirect
116. #19099246C22semidirect
117. #19099245C22semidirect
118. #19099245C22semidirect
119. #19099245C22semidirect
128. Q8×D316C22semidirect
131. #19099226C22semidirect
132. #19099226C22semidirect
137. #19099220C22semidirect
141. #19099194C22semidirect
142. #19099193C22semidirect
143. #19099193C22semidirect
148. #19099186C22semidirect
153. #19099184C22semidirect
154. #19099183C22semidirect
155. #19099183C22semidirect
156. #19099181C22semidirect
159. #19099179C22semidirect
161. #19099178C22semidirect
162. #19099176C22semidirect
163. #19099176C22semidirect
168. #19099173C22semidirect
169. #19099172C22semidirect
170. #19099172C22semidirect
171. #19099172C22semidirect
172. #19099172C22semidirect
173. #19099172C22semidirect
174. #19099172C22semidirect
178. #19099164C22semidirect
179. #19099163C22semidirect
181. #19099161C22semidirect
183. #19099160C22semidirect
184. #19099160C22semidirect
185. #19099159C22semidirect
187. #19099156C22semidirect
188. #19099156C22semidirect
189. #19099155C22semidirect
190. #19099155C22semidirect
191. #19099154C22semidirect
201. #19099134C22semidirect
205. #19099120C22semidirect
206. #19099119C22semidirect
207. #19099117C22semidirect
208. #19099117C22semidirect
209. #19099116C22semidirect
210. #19099116C22semidirect
211. #19099115C22semidirect
213. C4⋊Q8×D79C22semidirect
215. #19099099C22semidirect
220. #19099097C22semidirect
222. #19099095C22semidirect
223. #19099095C22semidirect
225. #19099093C22semidirect
226. #19099093C22semidirect
227. #19099093C22semidirect
228. #19099093C22semidirect
230. #19099091C22semidirect
231. #19099091C22semidirect
237. #19099039C22semidirect
238. #19099039C22semidirect
241. C2×#14579126C22semidirect
242. #557×C79C22semidirect
243. #554×C79C22semidirect
244. #554×C79C22semidirect
248. #552×C79C22semidirect
250. #547×C79C22semidirect
251. #541×C79C22semidirect
255. #529×C79C22semidirect
256. C2×#125×C79C22semidirect
257. #520×C79C22semidirect
1117. #3515D79semidirect
1121. C79#63062semidirect
1166. #557C2×D79semidirect
1191. #554C2×D79semidirect
1192. #554C2×D79semidirect
1218. #552C2×D79semidirect
1239. #547C2×D79semidirect
1277. #541C2×D79semidirect
1338. #529C2×D79semidirect
1340. C2×#125C2×D79semidirect
1343. #520C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780882
#237780772
#237780562
#237780392
#237780172
#237780112
#237780062
#237779932
#237779702
#237779652
#237779012
#237778962
#237778952
#237778782
#237778662
#237778562
#237778442
#237778382
#237775452
#237775012
#237774892
#237774752
#237774172
#237773902
#237772962
#237772832
#237772582
C79×#35152
#6306279