Finite Group Databasebeta

← #35197351

Subgroups — #35197351

Order 20224.

6846 conjugacy classes of subgroups.

The subgroup lattice has 1998 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777510C211yesmaximal, characteristic, complemented
2#23777508C213yesmaximal, complemented
3#23777501C211yesmaximal, characteristic, complemented
4#23777499C213yesmaximal, complemented
5#23777496C211yesmaximal, characteristic, complemented
6#23777492C213yesmaximal, complemented
7#23777491C211yesmaximal, characteristic, complemented
8#23777489C213yesmaximal, complemented
9#23777415C213yesmaximal, complemented
10#23777414C213yesmaximal, complemented
11#23777411C211yesmaximal, characteristic, complemented
12#23777408C211yesmaximal, characteristic, complemented
13#23777396C211yesmaximal, characteristic, complemented
14#23777390C213yesmaximal, complemented
15#23777387C213yesmaximal, complemented
16#23777263C213yesmaximal, complemented
17#23777261C213yesmaximal, complemented
18#23777204C211yesmaximal, characteristic, complemented
19#23777168C211yesmaximal, characteristic, complemented
20#23777118C213yesmaximal, complemented
21#23777116C213yesmaximal, complemented
22#23777050C211yesmaximal, characteristic, complemented
23#23777046C211yesmaximal, characteristic, complemented
24#23776832C213yesmaximal, complemented
25#23776825C213yesmaximal, complemented
26#23776787C213yesmaximal, complemented
27#23776783C213yesmaximal, complemented
28C4×#14579209C211yesmaximal, characteristic, complemented
29#23776611C211yesmaximal, characteristic, complemented
30#519×D79C211yesmaximal, characteristic, complemented
31C79×#3516C211yesmaximal, characteristic, complemented
32C2×#14579209C2211yescharacteristic
33C2×#14579208C2211yescharacteristic
34C22×Q8×D79C2211yescharacteristic
35#19099296C2216yescomplemented
36#19099296C2213yescomplemented
37#19099295C2213yescomplemented
38Q8×Dic158C2211yescharacteristic, complemented
39Q8×Dic158C2213yescomplemented
40#19099292C2211yescharacteristic, complemented
41#19099292C2211yescharacteristic, complemented
42#19099291C2213yescomplemented
43#19099290C2213yescomplemented
44#19099290C2213yescomplemented
45#19099290C2216yescomplemented
46#19099288C2213yescomplemented
47#19099288C2213yescomplemented
48#19099286C2213yes—
49#19099286C2213yescomplemented
50#19099286C2213yescomplemented
51#19099285C2213yescomplemented
52#19099284C2213yes—
53#19099284C2216yescomplemented
54#19099284C2216yescomplemented
55#19099283C2213yes—
56#19099283C2213yescomplemented
57#19099282C2213yescomplemented
58#19099281C2213yes—
59#19099280C2216yes—
60#19099280C2216yes—
61#19099280C2216yescomplemented
62#19099278C2213yes—
63#19099278C2213yes—
64#19099277C2213yes—
65#19099277C2216yes—
66#19099276C2213yes—
67#19099276C2216yes—
68#19099274C2213yescomplemented
69#19099267C2216yescomplemented
70#19099266C2213yes—
71#19099262C2216yes—
72#19099261C2213yes—
73#19099260C2213yes—
74#19099258C2216yes—
75#19099251C2213yes—
76#19099250C2216yes—
77#19099249C2216yescomplemented
78#19099248C2213yes—
79#19099248C2213yescomplemented
80#19099248C2213yescomplemented
81#19099247C2213yes—
82#19099247C2213yescomplemented
83#19099247C2213yescomplemented
84#19099246C2216yescomplemented
85#19099245C2216yes—
86#19099232C2211yescharacteristic, complemented
87#19099231C2213yescomplemented
88Q8×D316C2211yescharacteristic
89D4×Dic158C2213yes—
90#19099228C2213yes—
91Q8×C22⋊D79C2211yescharacteristic
92Q8×C22⋊D79C2211yescharacteristic
93Q8×C22⋊D79C2211yescharacteristic, complemented
94#19099226C2213yes—
95#19099226C2213yes—
96#19099226C2213yescomplemented
97#19099225C2211yescharacteristic
98#19099225C2211yescharacteristic, complemented
99#19099224C2211yescharacteristic
100#19099223C2213yes—
101#19099222C2213yes—
102#19099222C2213yescomplemented
103#19099221C2213yes—
104#19099221C2213yescomplemented
105#19099220C2211yescharacteristic
106#19099219C2213yes—
107#19099193C2213yes—
108#19099193C2213yes—
109#19099187C2213yes—
110#19099185C2213yescomplemented
111#19099184C2213yes—
112#19099184C2213yescomplemented
113#19099183C2213yes—
114#19099182C2213yes—
115#19099182C2213yescomplemented
116#19099181C2213yes—
117#19099181C2216yescomplemented
118#19099180C2213yescomplemented
119#19099179C2213yes—
120#19099179C2216yescomplemented
121#19099177C2213yes—
122#19099176C2213yescomplemented
123#19099173C2213yes—
124#19099173C2213yescomplemented
125#19099172C2213yes—
126#19099172C2216yescomplemented
127#19099171C2213yes—
128#19099171C2213yescomplemented
129#19099170C2213yes—
130#19099170C2216yescomplemented
131#19099166C2213yes—
132#19099165C2213yes—
133#19099164C2213yes—
134#19099163C2213yes—
135#19099161C2213yes—
136#19099159C2213yes—
137#19099159C2216yes—
138#19099156C2213yes—
139#19099154C2213yes—
140#19099154C2216yes—
141#19099152C2213yes—
142#19099149C2211yescharacteristic
143#19099149C2216yes—
144#19099147C2213yes—
145#19099145C2213yes—
146#19099143C2213yes—
147#19099142C2213yes—
148#19099138C2213yes—
149#19099136C2213yes—
150#19099136C2213yes—
151#19099133C2213yes—
152#19099120C2213yescomplemented
153#19099119C2216yescomplemented
154#19099118C2213yes—
155#19099118C2213yescomplemented
156#19099117C2213yes—
157#19099117C2213yescomplemented
158#19099116C2216yescomplemented
159#19099115C2213yescomplemented
160#19099112C2213yes—
161#19099110C2213yes—
162#19099100C2213yes—
163#19099099C2216yes—
164#19099099C2213yescomplemented
165#19099098C2216yes—
166#19099098C2213yescomplemented
167#19099097C2213yes—
168#19099096C2216yes—
169#19099096C2216yes—
170#19099096C2216yescomplemented
171#19099095C2213yes—
172#19099095C2216yes—
173#19099095C2213yescomplemented
174#19099093C2213yes—
175#19099093C2213yes—
176#19099093C2216yescomplemented
177#19099092C2216yes—
178#19099091C2213yes—
179#19099091C2213yes—
180#19099091C2216yes—
181#19099090C2216yes—
182#19099076C2213yes—
183#19099073C2213yes—
184#19099072C2213yes—
185#19099072C2213yes—
186#19099045C2213yes—
187#19099045C2211yescharacteristic, complemented
188#19099044C2213yes—
189#19099044C2213yes—
190#19099044C2213yescomplemented
191#19099042C2213yes—
192#19099042C2213yescomplemented
193#19099041C2211yescharacteristic
194#19099041C2211yescharacteristic, complemented
195#19099040C2213yes—
196#19099040C2213yes—
197#19099040C2213yescomplemented
198#19099039C2211yescharacteristic
199#19099039C2211yescharacteristic
200#19099039C2213yes—
201#19099039C2211yescharacteristic
202#19099039C2213yes—
203#19099039C2211yescharacteristic
204#19099039C2211yescharacteristic, complemented
205#19099039C2213yescomplemented
206#41×Dic79C2211yescharacteristic, complemented
207C4×#11929625C2213yes—
208C4×#11929625C2211yescharacteristic, complemented
209C4×#11929624C2213yes—
210C4×#11929624C2213yescomplemented
211#19099031C2213yes—
212C4×#11929623C2213yes—
213C4×#11929623C2213yescomplemented
214C2×#14579126C2213yescomplemented
215C4×Q8×D79C2213yes—
216C4×Q8×D79C2211yescharacteristic
217C4×Q8×D79C2211yescharacteristic
218C4×Q8×D79C2213yes—
219C4×Q8×D79C2211yescharacteristic, complemented
220C4×Q8×D79C2213yescomplemented
221#117×D79C2213yes—
222#117×D79C2213yes—
223#557×C79C2211yescharacteristic, complemented
224#556×C79C2213yescomplemented
225#554×C79C2213yescomplemented
226#553×C79C2213yes—
227#552×C79C2213yes—
228D4×Q8×C79C2211yescharacteristic
229#548×C79C2211yescharacteristic
230#548×C79C2211yescharacteristic, complemented
231#542×C79C2213yes—
232#541×C79C2213yescomplemented
233#529×C79C2213yes—
234#529×C79C2213yescomplemented
235#520×C79C2211yescharacteristic, complemented
236#519×C79C2211yescharacteristic
237C2×C4×Q8×C79C2211yescharacteristic, complemented
238#14579209—28no—
239#14579208—28no—
240C2×#11929625C2313yes—
241C2×#11929625C2311yescharacteristic
242C2×#11929624C2313yes—
243C2×#11929624C2313yes—
244C2×#11929624C2313yes—
245C2×#11929623C2313yes—
246C2×#11929623C2313yes—
247C22×Dic158C2313yes—
248C22×Dic158C2313yes—
249C2×Q8×D79—28no—
250C2×Q8×D79C2313yes—
251C2×Q8×D79C2311yescharacteristic
252C2×Q8×D79C2313yes—
253C2×Q8×D79C2311yescharacteristic
254C2×Q8×D79C2313yes—
255C2×Q8×D79C2311yescharacteristic
256C22×C4×D79C2313yes—
257#14579161C2313yes—
258#14579161C2313yes—
259#14579161C2313yes—
260#14579161C2313yes—
261#14579160C2316yes—
262#14579160C2316yes—
263#14579160C2313yes—
264#14579160C2313yes—
265#14579160C2316yes—
266#14579160C2313yes—
267#14579160C2316yes—
268#14579160C2313yes—
269#14579159C2313yes—
270#14579159C2313yes—
271#14579159C2313yes—
272#14579159C2313yes—
273#14579157C2313yes—
274#14579157C2313yes—
275#14579156C2313yes—
276#14579156C2316yes—
277#14579156C2311yescharacteristic
278#14579156C2313yes—
279#14579156C2316yes—
280#14579156C2313yes—
281#14579156C2313yes—
282#14579156C2316yes—
283#14579156C2313yes—
284#14579156C2316yes—
285#14579156C2316yes—
286#14579156C2316yes—
287#14579155C2313yes—
288#14579155C2313yes—
289#14579155C2316yes—
290#14579154C2313yes—
291#14579154C2313yes—
292#14579154C2311yescharacteristic
293#14579154C2316yes—
294#14579154C2313yes—
295#14579154C2313yes—
296#14579154C2313yes—
297#14579154C2316yes—
298#14579154C2316yes—
299#14579154C2316yes—
300#14579154C2316yes—
301#14579153C2313yes—
302#14579153C2316yes—
303#14579152C2313yes—
304#14579152C2316yes—
305#14579152C2313yes—
306#14579152C2313yes—
307#14579152C2313yes—
308#14579152C2316yes—
309#14579152C2313yes—
310#14579152C2313yes—
311#14579151C2313yes—
312#14579151C2313yes—
313#14579151C2316yes—
314#14579151C2313yes—
315#14579151C2316yes—
316#14579151C2313yes—
317#14579151C2313yes—
318#14579151C2313yes—
319#14579151C2316yes—
320#14579151C2316yes—
321#14579151C2316yes—
322#14579151C2316yes—
323#14579150C2313yes—
324#14579150C2313yes—
325#14579149C2313yes—
326#14579149C2313yes—
327#14579149C2316yes—
328#14579149C2313yes—
329#14579148C2313yes—
330#14579148C2316yes—
331#14579148C2313yes—
332#14579147C2316yes—
333#14579147C2316yes—
334#14579147C2313yes—
335#14579147C2311yescharacteristic
336#14579147C2316yes—
337#14579147C2311yescharacteristic
338#14579147C2316yes—
339#14579147C2313yes—
340#14579147C2313yes—
341#14579147C2316yes—
342#14579147C2313yes—
343#14579147C2316yes—
344#14579146C2313yes—
345#14579146C2316yes—
346#14579146C2313yes—
347#14579146C2311yescharacteristic
348#14579146C2316yes—
349#14579146C2313yes—
350#14579146C2313yes—
351#14579146C2313yes—
352#14579145C2313yes—
353#14579145C2313yes—
354#14579145C2316yes—
355#14579144C2313yes—
356#14579144C2313yes—
357#14579144C2316yes—
358#14579143C2313yes—
359#14579143C2316yes—
360#14579143C2313yes—
361#14579143C2313yes—
362#14579143C2313yes—
363#14579143C2313yes—
364#14579143C2316yes—
365#14579143C2313yes—
366#14579143C2316yes—
367#14579142C2313yes—
368#14579142C2313yes—
369#14579141C2313yes—
370#14579141C2313yes—
371#14579141C2313yes—
372#14579141C2311yescharacteristic
373#14579141C2316yes—
374#14579141C2313yes—
375#14579141C2313yes—
376#14579140C2313yes—
377#14579140C2313yes—
378#14579140C2313yes—
379#14579140C2313yes—
380#14579140C2313yes—
381#14579139C2316yes—
382#14579139C2316yes—
383#14579139C2316yes—
384#14579139C2313yes—
385#14579139C2313yes—
386#14579139C2316yes—
387#14579139C2313yes—
388#14579139C2313yes—
389#14579139C2313yes—
390#14579139C2313yes—
391#14579138C2316yes—
392#14579138C2313yes—
393#14579138C2316yes—
394#14579138C2313yes—
395#14579138C2313yes—
396#14579138C2313yes—
397#14579138C2316yes—
398#14579138C2316yes—
399#14579137C2313yes—
400#14579137C2313yes—
401#14579137C2313yes—
402#14579137C2313yes—
403#14579137C2313yes—
404#14579137C2316yes—
405#14579137C2313yes—
406#14579136C2313yes—
407#14579136C2313yes—
408#14579136C2313yes—
409#14579136C2313yes—
410#14579135C2313yes—
411#14579135C2316yes—
412#14579135C2311yescharacteristic
413#14579135C2313yes—
414#14579134C2316yes—
415#14579134C2316yes—
416#14579134C2313yes—
417#14579134C2313yes—
418#14579134C2311yescharacteristic
419#14579134C2313yes—
420#14579134C2313yes—
421#14579134C2313yes—
422#14579133C2316yes—
423#14579133C2313yes—
424#14579133C2313yes—
425#14579133C2313yes—
426#14579133C2313yes—
427#14579132C2313yes—
428#14579132C2313yes—
429#14579132C2311yescharacteristic
430#14579132C2316yes—
431#14579132C2313yes—
432#14579131C2313yes—
433#14579131C2311yescharacteristic
434#14579129C2311yescharacteristic
435#14579129C2313yes—
436Q8×Dic79C2313yes—
437Q8×Dic79C2313yes—
438Q8×Dic79C2311yescharacteristic
439Q8×Dic79C2311yescharacteristic
440Q8×Dic79C2311yescharacteristic
441Q8×Dic79C2313yes—
442Q8×Dic79C2313yes—
443Q8×Dic79C2311yescharacteristic
444Q8×Dic79C2316yes—
445C4×Dic158C2313yes—
446C4×Dic158C2313yes—
447C4×Dic158C2313yes—
448C4×Dic158C2313yes—
449C4×Dic158C2316yes—
450C4×Dic158C2313yes—
451C4×Dic158C2313yes—
452C4×Dic158C2313yes—
453C4×Dic158C2316yes—
454C4×Dic158C2313yes—
455C4×Dic158C2313yes—
456C4×Dic158C2316yes—
457C4×Dic158C2316yes—
458C4×Dic158C2313yes—
459C4×Dic158C2313yes—
460C4×Dic158C2313yes—
461C4×Dic158C2313yes—
462#14579126C2313yes—
463#14579126C2316yes—
464#14579126C2313yes—
465#14579126C2313yes—
466#14579126C2313yes—
467#14579126C2313yes—
468#14579126C2313yes—
469#14579126C2313yes—
470#14579126C2316yes—
471#14579126C2313yes—
472#14579126C2313yes—
473#14579126C2316yes—
474#14579126C2316yes—
475#14579126C2316yes—
476#14579126C2316yes—
477#14579126C2313yes—
478#14579126C2316yes—
479C4×D316C2313yes—
480C4×D316C2313yes—
481C4×D316C2313yes—
482C4×D316C2313yes—
483C4×D316C2313yes—
484C4×D316C2313yes—
485C4×D316C2313yes—
486D4×Dic79C2313yes—
487D4×Dic79C2316yes—
488D4×Dic79C2313yes—
489#14579123C2316yes—
490#14579123C2311yescharacteristic
491#14579123C2313yes—
492#14579123C2313yes—
493#14579123C2316yes—
494#14579123C2316yes—
495#14579123C2313yes—
496C4×C22⋊D79C2313yes—
497C4×C22⋊D79C2311yescharacteristic
498C4×C22⋊D79C2316yes—
499C4×C22⋊D79C2313yes—
500C4×C22⋊D79C2313yes—
501C4×C22⋊D79C2313yes—
502C4×C22⋊D79C2313yes—
503C4×C22⋊D79C2313yes—
504C4×C22⋊D79C2313yes—
505C4×C22⋊D79C2313yes—
506C4×C22⋊D79C2313yes—
507C4×C22⋊D79C2316yes—
508C4×C22⋊D79C2316yes—
509C4×C22⋊D79C2316yes—
510(C22⋊D79)⋊C4C2313yes—
511(C22⋊D79)⋊C4C2313yes—
512(C22⋊D79)⋊C4C2313yes—
513(C22⋊D79)⋊C4C2313yes—
514(C22⋊D79)⋊C4C2316yes—
515(C22⋊D79)⋊C4C2316yes—
516(C22⋊D79)⋊C4C2316yes—
517(C22⋊D79)⋊C4C2316yes—
518(C22⋊D79)⋊C4C2316yes—
519#14579120C2313yes—
520#14579120C2313yes—
521#14579120C2313yes—
522#14579120C2313yes—
523#14579120C2313yes—
524#14579120C2316yes—
525#14579120C2316yes—
526#14579119C2313yes—
527#14579119C2313yes—
528#14579119C2313yes—
529#14579119C2316yes—
530#14579119C2313yes—
531#14579119C2316yes—
532#14579119C2316yes—
533#14579119C2313yes—
534#14579119C2313yes—
535#14579119C2313yes—
536#14579119C2316yes—
537#14579119C2313yes—
538#14579118C2313yes—
539#14579118C2313yes—
540#14579118C2313yes—
541#14579118C2313yes—
542#14579118C2313yes—
543#14579118C2313yes—
544#14579118C2316yes—
545#14579118C2316yes—
546#14579118C2316yes—
547#14579117C2313yes—
548#14579117C2316yes—
549#14579117C2313yes—
550#14579117C2316yes—
551#14579117C2316yes—
552#14579117C2316yes—
553C2×Dic79⋊C4C2316yes—
554C4⋊C4×D79C2313yes—
555C4⋊C4×D79C2313yes—
556C4⋊C4×D79C2313yes—
557C4⋊C4×D79C2316yes—
558C4⋊C4×D79C2313yes—
559C4⋊C4×D79C2313yes—
560C4⋊C4×D79C2313yes—
561C22⋊C4×D79C2313yes—
562C22⋊C4×D79C2311yescharacteristic
563C2×C4×Dic79C2316yes—
564C2×C4×Dic79C2313yes—
565C42×D79C2313yes—
566C42×D79C2316yes—
567C42×D79C2313yes—
568C42×D79C2313yes—
569C42×D79C2313yes—
570C42×D79C2316yes—
571C2×#41×C79C2311yescharacteristic
572C22×Q8×C79C2311yescharacteristic
573C22×Q8×C79C2311yescharacteristic
574C4⋊Q8×C79C2313yes—
575C4⋊Q8×C79C2313yes—
576#126×C79C2313yes—
577#126×C79C2316yes—
578#126×C79C2313yes—
579#126×C79C2316yes—
580#125×C79C2313yes—
581#125×C79C2316yes—
582#125×C79C2313yes—
583#125×C79C2313yes—
584#124×C79C2313yes—
585#124×C79C2313yes—
586#124×C79C2313yes—
587#123×C79C2311yescharacteristic
588#123×C79C2316yes—
589#123×C79C2313yes—
590C22⋊Q8×C79C2313yes—
591C22⋊Q8×C79C2313yes—
592C22⋊Q8×C79C2313yes—
593C22⋊Q8×C79C2313yes—
594C22⋊Q8×C79C2316yes—
595C22⋊Q8×C79C2313yes—
596#121×C79C2313yes—
597#121×C79C2313yes—
598#121×C79C2313yes—
599C4×Q8×C79C2313yes—
600C4×Q8×C79C2313yes—
601C4×Q8×C79C2311yescharacteristic
602C4×Q8×C79C2311yescharacteristic
603C4×Q8×C79C2311yescharacteristic
604C4×Q8×C79C2311yescharacteristic
605C4×Q8×C79C2313yes—
606C4×Q8×C79C2313yes—
607C4×Q8×C79C2313yes—
608C4×D4×C79C2313yes—
609C4×D4×C79C2313yes—
610C4×D4×C79C2313yes—
611C4×D4×C79C2313yes—
612C4×D4×C79C2313yes—
613C4×D4×C79C2316yes—
614#117×C79C2313yes—
615#117×C79C2313yes—
616#117×C79C2313yes—
617#117×C79C2316yes—
618C2×C4⋊C4×C79C2313yes—
619C2×C4⋊C4×C79C2313yes—
620C2×C42×C79C2313yes—
621C23×D79C2411yescharacteristic
622#11929625—212no—
623#11929625—24no—
624#11929624—212no—
625#11929624—212no—
626#11929624—212no—
627#11929623—212no—
628#11929623—212no—
629C2×Dic158—212no—
630C2×Dic158—212no—
631C2×Dic158C2416yes—
632C2×Dic158C2413yes—
633C2×Dic158C2413yes—
634C2×Dic158C2413yes—
635C2×Dic158C2413yes—
636C2×Dic158C2416yes—
637C2×Dic158C2413yes—
638C2×Dic158C2411yescharacteristic
639C2×Dic158C2413yes—
640C2×Dic158C2413yes—
641Q8×D79—212no—
642Q8×D79—212no—
643Q8×D79—212no—
644Q8×D79—24no—
645Q8×D79—24no—
646Q8×D79#4118yes—
647C2×D316C2411yescharacteristic
648C2×D316C2413yes—
649C2×D316C2413yes—
650C2×D316C2413yes—
651C2×D316C2413yes—
652C2×D316C2411yescharacteristic
653C2×C22⋊D79C2413yes—
654C2×C22⋊D79C2413yes—
655C2×C22⋊D79C2411yescharacteristic
656C2×C22⋊D79C2413yes—
657C2×C22⋊D79C2413yes—
658C2×C22⋊D79C2413yes—
659C2×C22⋊D79C2416yes—
660C2×C22⋊D79C2413yes—
661C2×C22⋊D79C2411yescharacteristic
662C2×C22⋊D79C2411yescharacteristic
663C2×C22⋊D79C2411yescharacteristic
664C22×Dic79C2413yes—
665C22×Dic79C2416yes—
666C22×Dic79C2413yes—
667C22×Dic79C2413yes—
668C2×C4×D79—212no—
669C2×C4×D79C2413yes—
670C2×C4×D79C2413yes—
671C2×C4×D79C2413yes—
672C2×C4×D79C2413yes—
673C2×C4×D79C2416yes—
674C2×C4×D79C2413yes—
675C2×C4×D79C2411yescharacteristic
676C2×C4×D79C2413yes—
677C2×C4×D79C2413yes—
678C2×C4×D79C2411yescharacteristic
679C2×C4×D79C2411yescharacteristic
680C2×C4×D79C2413yes—
681C2×C4×D79C2413yes—
682C2×C4×D79C2413yes—
683C2×C4×D79C2416yes—
684C2×C4×D79C2413yes—
685C4⋊Dic79C2413yes—
686C4⋊Dic79C2413yes—
687C4⋊Dic79C2413yes—
688C4⋊Dic79C2413yes—
689C4⋊Dic79C2413yes—
690C4⋊Dic79C2413yes—
691C4⋊Dic79C2413yes—
692C4⋊Dic79C2413yes—
693C4⋊Dic79C2416yes—
694C4⋊Dic79C2416yes—
695C4⋊Dic79C2416yes—
696C4⋊Dic79C2413yes—
697C4⋊Dic79C2413yes—
698C4⋊Dic79C2413yes—
699C4⋊Dic79C2411yescharacteristic
700C4⋊Dic79C2411yescharacteristic
701C4⋊Dic79C2413yes—
702Dic79⋊C4C2416yes—
703Dic79⋊C4C2413yes—
704Dic79⋊C4C2413yes—
705Dic79⋊C4C2416yes—
706Dic79⋊C4C2416yes—
707Dic79⋊C4C2413yes—
708Dic79⋊C4C2413yes—
709Dic79⋊C4C2413yes—
710Dic79⋊C4C2413yes—
711Dic79⋊C4C2413yes—
712Dic79⋊C4C2413yes—
713Dic79⋊C4C2413yes—
714Dic79⋊C4C2413yes—
715Dic79⋊C4C2413yes—
716Dic79⋊C4C2413yes—
717Dic79⋊C4C2413yes—
718Dic79⋊C4C2411yescharacteristic
719Dic79⋊C4C2413yes—
720Dic79⋊C4C2413yes—
721Dic79⋊C4C2413yes—
722Dic79⋊C4C2413yes—
723Dic79⋊C4C2416yes—
724Dic79⋊C4C2416yes—
725Dic79⋊C4C2416yes—
726Dic79⋊C4C2411yescharacteristic
727Dic79⋊C4C2413yes—
728Dic79⋊C4C2413yes—
729Dic79⋊C4C2413yes—
730Dic79⋊C4C2413yes—
731Dic79⋊C4C2413yes—
732C22⋊Dic79C2413yes—
733C22⋊Dic79C2411yescharacteristic
734C22⋊Dic79C2416yes—
735C22⋊Dic79C2416yes—
736C22⋊Dic79C2411yescharacteristic
737C22⋊Dic79C2413yes—
738C22⋊Dic79C2413yes—
739C22⋊Dic79C2413yes—
740C22⋊Dic79C2413yes—
741C22⋊Dic79C2411yescharacteristic
742C22⋊Dic79C2413yes—
743C22⋊Dic79C2413yes—
744(C2×D79)⋊C4C2413yes—
745(C2×D79)⋊C4C2411yescharacteristic
746(C2×D79)⋊C4C2413yes—
747(C2×D79)⋊C4C2411yescharacteristic
748(C2×D79)⋊C4C2411yescharacteristic
749(C2×D79)⋊C4C2411yescharacteristic
750(C2×D79)⋊C4C2411yescharacteristic
751(C2×D79)⋊C4C2413yes—
752(C2×D79)⋊C4C2413yes—
753(C2×D79)⋊C4C2413yes—
754(C2×D79)⋊C4C2413yes—
755(C2×D79)⋊C4C2413yes—
756(C2×D79)⋊C4C2416yes—
757(C2×D79)⋊C4C2416yes—
758(C2×D79)⋊C4C2416yes—
759(C2×D79)⋊C4C2413yes—
760(C2×D79)⋊C4C2413yes—
761(C2×D79)⋊C4C2413yes—
762(C2×D79)⋊C4C2413yes—
763(C2×D79)⋊C4C2413yes—
764(C2×D79)⋊C4C2413yes—
765(C2×D79)⋊C4C2413yes—
766(C2×D79)⋊C4C2416yes—
767(C2×D79)⋊C4C2411yescharacteristic
768(C2×D79)⋊C4C2413yes—
769(C2×D79)⋊C4C2413yes—
770(C2×D79)⋊C4C2411yescharacteristic
771(C2×D79)⋊C4C2411yescharacteristic
772C4×Dic79C2413yes—
773C4×Dic79C2411yescharacteristic
774C4×Dic79C2413yes—
775C4×Dic79C2413yes—
776C4×Dic79C2413yes—
777C4×Dic79C2413yes—
778C4×Dic79C2416yes—
779C4×Dic79C2416yes—
780C4×Dic79C2416yes—
781C4×Dic79C2413yes—
782C4×Dic79C2413yes—
783C4×Dic79C2416yes—
784C4×Dic79C2413yes—
785C4×Dic79C2413yes—
786C4×Dic79C2413yes—
787C4×Dic79C2416yes—
788C4×Dic79C2411yescharacteristic
789C4×Dic79C2416yes—
790C4×Dic79C2416yes—
791C4×Dic79C2413yes—
792C4×Dic79C2413yes—
793#41×C79—24no—
794C2×Q8×C79—24no—
795C2×Q8×C79—24no—
796C2×Q8×C79C2413yes—
797C2×Q8×C79C2413yes—
798C2×Q8×C79C2413yes—
799C2×Q8×C79C2411yescharacteristic
800C2×D4×C79C2413yes—
801C2×D4×C79C2411yescharacteristic
802C2×D4×C79C2413yes—
803C2×D4×C79C2413yes—
804C22×C4×C79C2413yes—
805C22×C4×C79C2413yes—
806C22×C4×C79C2413yes—
807C22×C4×C79C2411yescharacteristic
808C22×C4×C79C2413yes—
809C22×C4×C79C2416yes—
810C4⋊C4×C79C2413yes—
811C4⋊C4×C79C2413yes—
812C4⋊C4×C79C2413yes—
813C4⋊C4×C79C2413yes—
814C4⋊C4×C79C2416yes—
815C4⋊C4×C79C2411yescharacteristic
816C4⋊C4×C79C2413yes—
817C4⋊C4×C79C2413yes—
818C4⋊C4×C79C2413yes—
819C4⋊C4×C79C2413yes—
820C4⋊C4×C79C2416yes—
821C4⋊C4×C79C2413yes—
822C4⋊C4×C79C2413yes—
823C4⋊C4×C79C2416yes—
824C4⋊C4×C79C2413yes—
825C4⋊C4×C79C2411yescharacteristic
826C4⋊C4×C79C2413yes—
827C22⋊C4×C79C2413yes—
828C22⋊C4×C79C2411yescharacteristic
829C22⋊C4×C79C2413yes—
830C22⋊C4×C79C2413yes—
831C22⋊C4×C79C2413yes—
832C22⋊C4×C79C2416yes—
833C22⋊C4×C79C2413yes—
834C22⋊C4×C79C2411yescharacteristic
835C22⋊C4×C79C2411yescharacteristic
836C22⋊C4×C79C2416yes—
837C22⋊C4×C79C2413yes—
838C22⋊C4×C79C2413yes—
839C42×C79C2413yes—
840C42×C79C2413yes—
841C42×C79C2413yes—
842C42×C79C2413yes—
843C42×C79C2416yes—
844C42×C79C2413yes—
845C42×C79C2413yes—
846C23×C79C2511yescharacteristic
847C23×C79C2511yescharacteristic
848C23×C79C2513yes—
849C22×D79—22no—
850C22×D79—41no—
851C22×D79—41no—
852C22×D79C2511yescharacteristic
853C22×D79C2511yescharacteristic
854C22×D79C2513yes—
855C22×D79C2511yescharacteristic
856Q8×C79—26no—
857Q8×C79—26no—
858Q8×C79—43no—
859Q8×C79C2×#4114yes—
860D4×C79—26no—
861D4×C79—43no—
862D4×C79—41no—
863D4×C79—43no—
864C2×C4×C79—26no—
865C2×C4×C79—26no—
866C2×C4×C79—26no—
867C2×C4×C79—46no—
868C2×C4×C79—43no—
869C2×C4×C79—41no—
870C2×C4×C79C2513yes—
871C2×C4×C79C2511yescharacteristic
872C2×C4×C79C2511yescharacteristic
873C2×C4×C79C2511yescharacteristic
874C2×C4×C79C2511yescharacteristic
875C2×C4×C79C2513yes—
876C2×C4×C79C2513yes—
877C2×C4×C79C2513yes—
878C2×C4×C79C2513yes—
879C2×C4×C79C2513yes—
880C2×C4×C79C2511yescharacteristic
881C2×C4×C79C2513yes—
882C22⋊D79—26no—
883C22⋊D79—22no—
884C22⋊D79—26no—
885C22⋊D79—26no—
886C22⋊D79—41no—
887C22⋊D79—43no—
888C22⋊D79—46no—
889C22⋊D79—43no—
890C22⋊D79—43no—
891C22⋊D79—41no—
892C22⋊D79—41no—
893C2×Dic79—26no—
894C2×Dic79—212no—
895C2×Dic79—43no—
896C2×Dic79—43no—
897C2×Dic79C2511yescharacteristic
898C2×Dic79C2513yes—
899C2×Dic79C2513yes—
900C2×Dic79C2513yes—
901C2×Dic79C2513yes—
902C2×Dic79C2511yescharacteristic
903C2×Dic79C2511yescharacteristic
904C2×Dic79C2513yes—
905C2×Dic79C2513yes—
906C2×Dic79C2511yescharacteristic
907C2×Dic79C2511yescharacteristic
908C2×Dic79C2513yes—
909D316—22no—
910D316—26no—
911D316—26no—
912D316—43no—
913D316—41no—
914D316—43no—
915C4×D79—26no—
916C4×D79—26no—
917C4×D79—26no—
918C4×D79—26no—
919C4×D79—26no—
920C4×D79—212no—
921C4×D79—41no—
922C4×D79—43no—
923C4×D79—43no—
924C4×D79—43no—
925C4×D79—43no—
926C4×D79—43no—
927C4×D79—46no—
928C4×D79—41no—
929C4×D79—41no—
930C4×D79C2×#41112yes—
931Dic158—26no—
932Dic158—26no—
933Dic158—212no—
934Dic158—26no—
935Dic158—26no—
936Dic158—43no—
937Dic158—43no—
938Dic158—46no—
939Dic158—41no—
940Dic158C2×#41112yes—
941C22×C79—21no—
942C22×C79—23no—
943C22×C79—21no—
944C22×C79—21no—
945C22×C79—23no—
946C22×C79—21no—
947C22×C79—23no—
948C22×C79—21no—
949C22×C79—21no—
950C22×C79C2611yescharacteristic
951C2×D79—21no—
952C2×D79—21no—
953C2×D79—21no—
954C2×D79—23no—
955C2×D79—21no—
956C2×D79—21no—
957C2×D79—23no—
958C2×D79—21no—
959C2×D79—21no—
960C2×D79—23no—
961C2×D79—21no—
962C2×D79—44no—
963C2×D79C22×#4112yes—
964C4×C79—21no—
965C4×C79—23no—
966C4×C79—23no—
967C4×C79—23no—
968C4×C79—23no—
969C4×C79—23no—
970C4×C79—21no—
971C4×C79—21no—
972C4×C79—21no—
973C4×C79—23no—
974C4×C79—21no—
975C4×C79C22×#4116yes—
976Dic79—21no—
977Dic79—23no—
978Dic79—23no—
979Dic79—21no—
980Dic79—23no—
981Dic79—23no—
982Dic79—23no—
983Dic79—21no—
984Dic79—21no—
985Dic79—23no—
986Dic79—21no—
987Dic79C22×#4116yes—
988#62850—791nomaximal, Sylow
989C2×C79—41no—
990C2×C79—41no—
991C2×C79—43no—
992C2×C79C23×#4111yescharacteristic
993C2×C792−1+611yescharacteristic
994C2×C792−1+611yescharacteristic
995D79—22no—
996D79—41no—
997D79—43no—
998D79—41no—
999#3524—793no—
1000#3524—791no—
1001#3524—793no—
1002#3524—791no—
1003#3523—793no—
1004#3523—791no—
1005#3523—793no—
1006#3523—791no—
1007#3518—793no—
1008#3518—791no—
1009#3518—793no—
1010#3518—791no—
1011#3516—791no—
1012#3516—793no—
1013#3516—793no—
1014#3516D7911yescharacteristic, complemented
1015#3507—793no—
1016#3507—793no—
1017#3502—791no—
1018#3497—791no—
1019#3493—793no—
1020#3493—793no—
1021#3486—791no—
1022#3486—791no—
1023#3461—793no—
1024#3461—793no—
1025#3455—793no—
1026#3455—793no—
1027C4×2−1+4—791no—
1028C4×2−1+4—791no—
1029C2×#519—791no—
1030C79#6285011yescharacteristic, complemented, Sylow
1031C2×2−1+4—791no—
1032C2×2−1+4—791no—
1033C23×Q8—791no—
1034#559—793no—
1035#559—796no—
1036#559—793no—
1037Q82—791no—
1038Q82—793no—
1039#557—793no—
1040#557—793no—
1041#557—793no—
1042#557—793no—
1043#557—796no—
1044#557—793no—
1045#557—791no—
1046#557—791no—
1047#557C2×D7911yescharacteristic, complemented
1048#556—796no—
1049#556—796no—
1050#556—796no—
1051#556—793no—
1052#556—793no—
1053#556—796no—
1054#556—796no—
1055#556—793no—
1056#556—793no—
1057#556—793no—
1058#556—793no—
1059#556—793no—
1060#556—793no—
1061#556—793no—
1062#556C2×D7913yescomplemented
1063#555—793no—
1064#555—796no—
1065#555—793no—
1066#555—793no—
1067#555—793no—
1068#555—796no—
1069#554—793no—
1070#554—796no—
1071#554C2×D7913yescomplemented
1072#553—793no—
1073#553—796no—
1074#553—793no—
1075#553—796no—
1076#553—793no—
1077#553C2×D7913yes—
1078#552—796no—
1079#552—796no—
1080#552—793no—
1081#552—796no—
1082#552—793no—
1083#552—793no—
1084#552—793no—
1085#552—796no—
1086#552—793no—
1087#552—793no—
1088#552—793no—
1089#552C2×D7913yes—
1090#550—791no—
1091#550—793no—
1092D4×Q8—791no—
1093D4×Q8—791no—
1094D4×Q8—791no—
1095D4×Q8—793no—
1096D4×Q8—793no—
1097D4×Q8—793no—
1098D4×Q8—793no—
1099D4×Q8—791no—
1100D4×Q8—793no—
1101D4×Q8C2×D7911yescharacteristic
1102#548—791no—
1103#548—791no—
1104#548—793no—
1105#548—793no—
1106#548—793no—
1107#548—793no—
1108#548—791no—
1109#548—791no—
1110#548—793no—
1111#548—793no—
1112#548C2×D7911yescharacteristic
1113#548C2×D7911yescharacteristic, complemented
1114#544—793no—
1115#544—793no—
1116#542—793no—
1117#542—793no—
1118#542—796no—
1119#542—793no—
1120#542—793no—
1121#542—793no—
1122#542—793no—
1123#542—796no—
1124#542—793no—
1125#542—793no—
1126#542—793no—
1127#542—793no—
1128#542—793no—
1129#542C2×D7913yes—
1130#541—793no—
1131#541—796no—
1132#541—793no—
1133#541—796no—
1134#541—793no—
1135#541—793no—
1136#541—793no—
1137#541—793no—
1138#541—793no—
1139#541C2×D7913yescomplemented
1140#540—793no—
1141#540—793no—
1142#540—793no—
1143#540—793no—
1144#539—796no—
1145#539—793no—
1146#539—793no—
1147#539—793no—
1148#539—796no—
1149#539—793no—
1150#538—793no—
1151#538—793no—
1152#538—791no—
1153#538—796no—
1154#538—793no—
1155#537—793no—
1156#537—793no—
1157#536—793no—
1158#536—793no—
1159#536—793no—
1160#536—793no—
1161#533—793no—
1162#533—793no—
1163#533—796no—
1164#533—793no—
1165#533—793no—
1166#533—793no—
1167#533—796no—
1168#533—793no—
1169#532—793no—
1170#532—793no—
1171#529—796no—
1172#529—796no—
1173#529—796no—
1174#529—796no—
1175#529—793no—
1176#529—796no—
1177#529—796no—
1178#529—796no—
1179#529—793no—
1180#529—793no—
1181#529—793no—
1182#529—793no—
1183#529—793no—
1184#529—796no—
1185#529—796no—
1186#529—793no—
1187#529—793no—
1188#529—793no—
1189#529—796no—
1190#529—793no—
1191#529C2×D7913yes—
1192#529C2×D7913yescomplemented
1193#525—793no—
1194#525—793no—
1195#525—793no—
1196#525—793no—
1197#520—793no—
1198#520—791no—
1199#520—793no—
1200#520—793no—
1201#520—793no—
1202#520—793no—
1203#520—793no—
1204#520C2×D7911yescharacteristic, complemented
1205#519—791no—
1206#519—791no—
1207#519—793no—
1208#519—791no—
1209#519—793no—
1210#519—791no—
1211#519—791no—
1212#519—791no—
1213#519—793no—
1214#519—791no—
1215#519—793no—
1216#519—793no—
1217#519—793no—
1218#519C2×D7911yescharacteristic
1219C4×#41—791no—
1220C4×#41—793no—
1221C4×#41—791no—
1222C4×#41—793no—
1223C4×#41—793no—
1224C4×#41—793no—
1225C4×#41—793no—
1226C4×#41—793no—
1227C2×C4×Q8—791no—
1228C2×C4×Q8—793no—
1229C2×C4×Q8—791no—
1230C2×C4×Q8—793no—
1231C2×C4×Q8—791no—
1232C2×C4×Q8—793no—
1233C2×C4×Q8—793no—
1234C2×C4×Q8C2×D7911yescharacteristic, complemented
1235C2×#117—793no—
1236C2×#117—793no—
12372−1+4—1588no—
12382−1+4—1588no—
1239C2×#41—793no—
1240C2×#41—791no—
1241C2×#41—793no—
1242C2×#41—793no—
1243C2×#41—793no—
1244C2×#41—793no—
1245C2×#41—793no—
1246C2×#41C22×D7911yescharacteristic
1247C22×Q8—791no—
1248C22×Q8—793no—
1249C22×Q8—793no—
1250C22×Q8—791no—
1251C22×Q8—793no—
1252C22×Q8—791no—
1253C22×Q8—793no—
1254C22×Q8—793no—
1255C22×Q8—1588no—
1256C22×Q8C22×D7911yescharacteristic
1257C22×Q8C22×D7911yescharacteristic
1258C23×C4—793no—
1259C4⋊Q8—793no—
1260C4⋊Q8—793no—
1261C4⋊Q8—793no—
1262C4⋊Q8—793no—
1263C4⋊Q8—793no—
1264C4⋊Q8—796no—
1265C4⋊Q8—796no—
1266C4⋊Q8—793no—
1267C4⋊Q8—796no—
1268C4⋊Q8—796no—
1269C4⋊Q8—793no—
1270C4⋊Q8—793no—
1271C4⋊Q8—793no—
1272C4⋊Q8—793no—
1273C4⋊Q8—793no—
1274C4⋊Q8—793no—
1275C4⋊Q8C22×D7913yes—
1276C4⋊Q8C22×D7913yes—
1277#127—793no—
1278#127—793no—
1279#126—791no—
1280#126—796no—
1281#126—793no—
1282#126—793no—
1283#126—793no—
1284#126—796no—
1285#126—793no—
1286#126—796no—
1287#126—793no—
1288#126—796no—
1289#126—796no—
1290#126—796no—
1291#126—791no—
1292#126—793no—
1293#126—793no—
1294#126—793no—
1295#126—796no—
1296#126—793no—
1297#126—796no—
1298#126—793no—
1299#126—796no—
1300#126—796no—
1301#126—796no—
1302#126—793no—
1303#126—793no—
1304#126—796no—
1305#126C22×D7916yes—
1306#126C22×D7916yes—
1307#126C22×D7913yes—
1308#126C22×D7913yes—
1309#125—793no—
1310#125—793no—
1311#125—793no—
1312#125—796no—
1313#125—793no—
1314#125—796no—
1315#125—796no—
1316#125—793no—
1317#125—793no—
1318#125—796no—
1319#125—796no—
1320#125—796no—
1321#125—796no—
1322#125—796no—
1323#125—793no—
1324#125—793no—
1325#125—793no—
1326#125—793no—
1327#125—793no—
1328#125—793no—
1329#125—796no—
1330#125—793no—
1331#125C22×D7916yes—
1332#125C22×D7913yes—
1333#125C22×D7913yes—
1334#125C22×D7913yes—
1335#124—793no—
1336#124—793no—
1337#124—793no—
1338#124—793no—
1339#124—796no—
1340#124—791no—
1341#124—791no—
1342#124—796no—
1343#124—796no—
1344#124—793no—
1345#124—796no—
1346#124—793no—
1347#124—796no—
1348#124—796no—
1349#124—796no—
1350#124—793no—
1351#124—793no—
1352#124—793no—
1353#124—793no—
1354#124—796no—
1355#124—793no—
1356#124C22×D7913yes—
1357#124C22×D7913yes—
1358#124C22×D7913yes—
1359#123—793no—
1360#123—793no—
1361#123—793no—
1362#123—796no—
1363#123—793no—
1364#123—793no—
1365#123—793no—
1366#123—796no—
1367#123—791no—
1368#123—793no—
1369#123—793no—
1370#123—796no—
1371#123—793no—
1372#123—796no—
1373#123—793no—
1374#123—793no—
1375#123—793no—
1376#123—793no—
1377#123—796no—
1378#123—796no—
1379#123—793no—
1380#123—796no—
1381#123—793no—
1382#123—793no—
1383#123—793no—
1384#123C22×D7916yes—
1385#123C22×D7911yescharacteristic
1386#123C22×D7913yes—
1387C22⋊Q8—793no—
1388C22⋊Q8—796no—
1389C22⋊Q8—793no—
1390C22⋊Q8—793no—
1391C22⋊Q8—793no—
1392C22⋊Q8—793no—
1393C22⋊Q8—793no—
1394C22⋊Q8—793no—
1395C22⋊Q8—793no—
1396C22⋊Q8—793no—
1397C22⋊Q8—793no—
1398C22⋊Q8—793no—
1399C22⋊Q8—793no—
1400C22⋊Q8—793no—
1401C22⋊Q8—793no—
1402C22⋊Q8—793no—
1403C22⋊Q8—793no—
1404C22⋊Q8—796no—
1405C22⋊Q8—793no—
1406C22⋊Q8—796no—
1407C22⋊Q8—793no—
1408C22⋊Q8—796no—
1409C22⋊Q8—793no—
1410C22⋊Q8—793no—
1411C22⋊Q8—793no—
1412C22⋊Q8—791no—
1413C22⋊Q8—796no—
1414C22⋊Q8—796no—
1415C22⋊Q8—793no—
1416C22⋊Q8—793no—
1417C22⋊Q8—793no—
1418C22⋊Q8—793no—
1419C22⋊Q8—796no—
1420C22⋊Q8—796no—
1421C22⋊Q8—793no—
1422C22⋊Q8—796no—
1423C22⋊Q8—796no—
1424C22⋊Q8C22×D7913yes—
1425C22⋊Q8C22×D7913yes—
1426C22⋊Q8C22×D7916yes—
1427C22⋊Q8C22×D7913yes—
1428C22⋊Q8C22×D7913yes—
1429C22⋊Q8C22×D7913yes—
1430#121—793no—
1431#121—793no—
1432#121—793no—
1433#121—791no—
1434#121—793no—
1435#121—793no—
1436#121—793no—
1437#121—796no—
1438#121—796no—
1439#121—793no—
1440#121—793no—
1441#121—791no—
1442#121—793no—
1443#121—796no—
1444#121—793no—
1445#121—793no—
1446#121—793no—
1447#121—793no—
1448#121—793no—
1449#121—793no—
1450#121—793no—
1451#121—796no—
1452#121—796no—
1453#121—793no—
1454#121—793no—
1455#121—791no—
1456#121C22×D7913yes—
1457#121C22×D7913yes—
1458#121C22×D7913yes—
1459#120—791no—
1460#120—793no—
1461#120—791no—
1462#120—793no—
1463C4×Q8—791no—
1464C4×Q8—793no—
1465C4×Q8—791no—
1466C4×Q8—793no—
1467C4×Q8—793no—
1468C4×Q8—793no—
1469C4×Q8—791no—
1470C4×Q8—791no—
1471C4×Q8—796no—
1472C4×Q8—793no—
1473C4×Q8—793no—
1474C4×Q8—793no—
1475C4×Q8—796no—
1476C4×Q8—793no—
1477C4×Q8—793no—
1478C4×Q8—793no—
1479C4×Q8—796no—
1480C4×Q8—793no—
1481C4×Q8—793no—
1482C4×Q8—796no—
1483C4×Q8—796no—
1484C4×Q8—793no—
1485C4×Q8—793no—
1486C4×Q8—796no—
1487C4×Q8—796no—
1488C4×Q8—796no—
1489C4×Q8—793no—
1490C4×Q8—793no—
1491C4×Q8—796no—
1492C4×Q8—793no—
1493C4×Q8—793no—
1494C4×Q8—796no—
1495C4×Q8—793no—
1496C4×Q8—793no—
1497C4×Q8—793no—
1498C4×Q8—793no—
1499C4×Q8—793no—
1500C4×Q8—793no—
1501C4×Q8—793no—
1502C4×Q8—793no—
1503C4×Q8—793no—
1504C4×Q8—796no—
1505C4×Q8—796no—
1506C4×Q8C22×D7911yescharacteristic
1507C4×Q8C22×D7913yes—
1508C4×Q8C22×D7913yes—
1509C4×Q8C22×D7911yescharacteristic
1510C4×Q8C22×D7913yes—
1511C4×Q8C22×D7911yescharacteristic
1512C4×Q8C22×D7911yescharacteristic
1513C4×Q8C22×D7913yes—
1514C4×Q8C22×D7913yes—
1515C4×D4—793no—
1516C4×D4—793no—
1517C4×D4—796no—
1518C4×D4—791no—
1519C4×D4—793no—
1520C4×D4—796no—
1521C4×D4—793no—
1522C4×D4—793no—
1523C4×D4—796no—
1524C4×D4—796no—
1525C4×D4—793no—
1526C4×D4—793no—
1527C4×D4—793no—
1528C4×D4—793no—
1529C4×D4—796no—
1530C4×D4—793no—
1531C4×D4—793no—
1532C4×D4—791no—
1533C4×D4—796no—
1534C4×D4—793no—
1535C4×D4—793no—
1536C4×D4—793no—
1537C4×D4—796no—
1538C4×D4—796no—
1539C4×D4—793no—
1540C4×D4—793no—
1541C4×D4—793no—
1542C4×D4—793no—
1543C4×D4—796no—
1544C4×D4—796no—
1545C4×D4—796no—
1546C4×D4—796no—
1547C4×D4—796no—
1548C4×D4—793no—
1549C4×D4—793no—
1550C4×D4—793no—
1551C4×D4—793no—
1552C4×D4—793no—
1553C4×D4—793no—
1554C4×D4—793no—
1555C4×D4C22×D7913yes—
1556C4×D4C22×D7913yes—
1557C4×D4C22×D7913yes—
1558C4×D4C22×D7913yes—
1559C4×D4C22×D7916yes—
1560C4×D4C22×D7913yes—
1561#117—793no—
1562#117—793no—
1563#117—793no—
1564#117—793no—
1565#117—793no—
1566#117—796no—
1567#117—796no—
1568#117—793no—
1569#117—793no—
1570#117—793no—
1571#117—793no—
1572#117—793no—
1573#117—793no—
1574#117—796no—
1575#117—793no—
1576#117—793no—
1577#117—796no—
1578#117—796no—
1579#117—796no—
1580#117—793no—
1581#117—793no—
1582#117—796no—
1583#117—796no—
1584#117—796no—
1585#117—796no—
1586#117—793no—
1587#117—793no—
1588#117—796no—
1589#117—793no—
1590#117—793no—
1591#117—793no—
1592#117—793no—
1593#117—796no—
1594#117—796no—
1595#117C22×D7913yes—
1596#117C22×D7913yes—
1597#117C22×D7913yes—
1598#117C22×D7916yes—
1599C2×C4⋊C4—796no—
1600C2×C4⋊C4—793no—
1601C2×C4⋊C4—793no—
1602C2×C4⋊C4—793no—
1603C2×C4⋊C4—793no—
1604C2×C4⋊C4—796no—
1605C2×C4⋊C4—793no—
1606C2×C4⋊C4—793no—
1607C2×C4⋊C4C22×D7913yes—
1608C2×C4⋊C4C22×D7913yes—
1609C2×C22⋊C4—791no—
1610C2×C22⋊C4—793no—
1611C2×C42—793no—
1612C2×C42—796no—
1613C2×C42—793no—
1614C2×C42—796no—
1615C2×C42—793no—
1616C2×C42—793no—
1617C2×C42—796no—
1618C2×C42—793no—
1619C2×C42C22×D7913yes—
1620C24—791no—
1621#41—24no—
1622#41—15812no—
1623#41—15812no—
1624#41—15812no—
1625#41—15812no—
1626#41—15812no—
1627#41—15812no—
1628#41—1584no—
1629C2×Q8—24no—
1630C2×Q8—24no—
1631C2×Q8—798no—
1632C2×Q8—791no—
1633C2×Q8—796no—
1634C2×Q8—793no—
1635C2×Q8—793no—
1636C2×Q8—793no—
1637C2×Q8—796no—
1638C2×Q8—793no—
1639C2×Q8—793no—
1640C2×Q8—793no—
1641C2×Q8—793no—
1642C2×Q8—15812no—
1643C2×Q8—15812no—
1644C2×Q8—15812no—
1645C2×Q8—15812no—
1646C2×Q8—15812no—
1647C2×Q8—1584no—
1648C2×Q8—1584no—
1649C2×Q8C23×D7913yes—
1650C2×Q8C23×D7913yes—
1651C2×Q8C23×D7913yes—
1652C2×Q8C23×D7911yescharacteristic
1653C2×D4—791no—
1654C2×D4—791no—
1655C2×D4—793no—
1656C2×D4—793no—
1657C2×D4—796no—
1658C2×D4—791no—
1659C2×D4—793no—
1660C2×D4—791no—
1661C2×D4—793no—
1662C2×D4—793no—
1663C2×D4—793no—
1664C2×D4—793no—
1665C2×D4—791no—
1666C2×D4—793no—
1667C2×D4—791no—
1668C2×D4—793no—
1669C2×D4—793no—
1670C2×D4C23×D7913yes—
1671C2×D4C23×D7913yes—
1672C2×D4C23×D7911yescharacteristic
1673C2×D4C23×D7913yes—
1674C22×C4—793no—
1675C22×C4—793no—
1676C22×C4—793no—
1677C22×C4—791no—
1678C22×C4—793no—
1679C22×C4—791no—
1680C22×C4—791no—
1681C22×C4—793no—
1682C22×C4—793no—
1683C22×C4—796no—
1684C22×C4—793no—
1685C22×C4—793no—
1686C22×C4—796no—
1687C22×C4—793no—
1688C22×C4—793no—
1689C22×C4—796no—
1690C22×C4—793no—
1691C22×C4—793no—
1692C22×C4—793no—
1693C22×C4—793no—
1694C22×C4—15812no—
1695C22×C4C23×D7913yes—
1696C22×C4C23×D7913yes—
1697C22×C4C23×D7913yes—
1698C22×C4C23×D7916yes—
1699C22×C4C23×D7911yescharacteristic
1700C22×C4C23×D7913yes—
1701C4⋊C4—796no—
1702C4⋊C4—793no—
1703C4⋊C4—793no—
1704C4⋊C4—796no—
1705C4⋊C4—793no—
1706C4⋊C4—793no—
1707C4⋊C4—796no—
1708C4⋊C4—793no—
1709C4⋊C4—793no—
1710C4⋊C4—793no—
1711C4⋊C4—793no—
1712C4⋊C4—793no—
1713C4⋊C4—793no—
1714C4⋊C4—791no—
1715C4⋊C4—793no—
1716C4⋊C4—793no—
1717C4⋊C4—793no—
1718C4⋊C4—793no—
1719C4⋊C4—793no—
1720C4⋊C4—791no—
1721C4⋊C4—793no—
1722C4⋊C4—793no—
1723C4⋊C4—793no—
1724C4⋊C4—796no—
1725C4⋊C4—793no—
1726C4⋊C4—796no—
1727C4⋊C4—796no—
1728C4⋊C4—793no—
1729C4⋊C4—793no—
1730C4⋊C4—793no—
1731C4⋊C4—793no—
1732C4⋊C4—793no—
1733C4⋊C4—793no—
1734C4⋊C4—793no—
1735C4⋊C4—793no—
1736C4⋊C4—793no—
1737C4⋊C4—793no—
1738C4⋊C4—793no—
1739C4⋊C4—793no—
1740C4⋊C4—796no—
1741C4⋊C4—796no—
1742C4⋊C4—796no—
1743C4⋊C4—793no—
1744C4⋊C4—793no—
1745C4⋊C4—791no—
1746C4⋊C4—791no—
1747C4⋊C4—793no—
1748C4⋊C4C23×D7913yes—
1749C4⋊C4C23×D7913yes—
1750C4⋊C4C23×D7916yes—
1751C4⋊C4C23×D7913yes—
1752C4⋊C4C23×D7913yes—
1753C4⋊C4C23×D7913yes—
1754C4⋊C4C23×D7913yes—
1755C4⋊C4C23×D7913yes—
1756C4⋊C4C23×D7913yes—
1757C4⋊C4C23×D7913yes—
1758C4⋊C4C23×D7916yes—
1759C4⋊C4C23×D7911yescharacteristic
1760C4⋊C4C23×D7913yes—
1761C4⋊C4C23×D7916yes—
1762C4⋊C4C23×D7913yes—
1763C4⋊C4C23×D7913yes—
1764C4⋊C4C23×D7911yescharacteristic
1765C22⋊C4—791no—
1766C22⋊C4—793no—
1767C22⋊C4—791no—
1768C22⋊C4—793no—
1769C22⋊C4—796no—
1770C22⋊C4—793no—
1771C22⋊C4—793no—
1772C22⋊C4—793no—
1773C22⋊C4—796no—
1774C22⋊C4—791no—
1775C22⋊C4—793no—
1776C22⋊C4—793no—
1777C22⋊C4—791no—
1778C22⋊C4—793no—
1779C22⋊C4—793no—
1780C22⋊C4—791no—
1781C22⋊C4—793no—
1782C22⋊C4—793no—
1783C22⋊C4—791no—
1784C22⋊C4—791no—
1785C22⋊C4—793no—
1786C22⋊C4—791no—
1787C22⋊C4—793no—
1788C22⋊C4—793no—
1789C22⋊C4—796no—
1790C22⋊C4—793no—
1791C22⋊C4—793no—
1792C22⋊C4—796no—
1793C22⋊C4—796no—
1794C22⋊C4—793no—
1795C22⋊C4—793no—
1796C22⋊C4—791no—
1797C22⋊C4—793no—
1798C22⋊C4—793no—
1799C22⋊C4—791no—
1800C22⋊C4—796no—
1801C22⋊C4—793no—
1802C22⋊C4—793no—
1803C22⋊C4—793no—
1804C22⋊C4—791no—
1805C22⋊C4C23×D7913yes—
1806C22⋊C4C23×D7911yescharacteristic
1807C22⋊C4C23×D7913yes—
1808C22⋊C4C23×D7913yes—
1809C22⋊C4C23×D7916yes—
1810C22⋊C4C23×D7913yes—
1811C22⋊C4C23×D7913yes—
1812C22⋊C4C23×D7913yes—
1813C22⋊C4C23×D7916yes—
1814C22⋊C4C23×D7911yescharacteristic
1815C22⋊C4C23×D7913yes—
1816C22⋊C4C23×D7911yescharacteristic
1817C42—793no—
1818C42—793no—
1819C42—793no—
1820C42—791no—
1821C42—793no—
1822C42—791no—
1823C42—793no—
1824C42—796no—
1825C42—796no—
1826C42—796no—
1827C42—793no—
1828C42—793no—
1829C42—796no—
1830C42—796no—
1831C42—796no—
1832C42—796no—
1833C42—793no—
1834C42—793no—
1835C42—793no—
1836C42—793no—
1837C42—793no—
1838C42C23×D7913yes—
1839C42C23×D7913yes—
1840C42C23×D7916yes—
1841C42C23×D7913yes—
1842C42C23×D7913yes—
1843C42C23×D7913yes—
1844C42C23×D7913yes—
1845C23—3161no—
1846C23—3161no—
1847C23—791no—
1848C23—791no—
1849C23—791no—
1850C23—793no—
1851C23—1582no—
1852C23C24×D7911yescharacteristic
1853C23C24×D7911yescharacteristic
1854C23C24×D7913yes—
1855Q8—26no—
1856Q8—26no—
1857Q8—43no—
1858Q8—3163no—
1859Q8—3166no—
1860Q8—3163no—
1861Q8—3161no—
1862Q8—7912no—
1863Q8—15812no—
1864Q8—1586no—
1865Q8—1586no—
1866Q8—1586no—
1867Q8—1586no—
1868Q8#41×D7914yes—
1869D4—26no—
1870D4—43no—
1871D4—41no—
1872D4—43no—
1873D4—3161no—
1874D4—3163no—
1875D4—3163no—
1876D4—3166no—
1877D4—3163no—
1878D4—3163no—
1879D4—3161no—
1880D4—3161no—
1881D4—3161no—
1882D4—3163no—
1883D4—1582no—
1884D4—1586no—
1885D4—1586no—
1886D4—1586no—
1887D4—1582no—
1888D4—1586no—
1889D4—1586no—
1890C2×C4—26no—
1891C2×C4—26no—
1892C2×C4—26no—
1893C2×C4—41no—
1894C2×C4—46no—
1895C2×C4—43no—
1896C2×C4—3161no—
1897C2×C4—3163no—
1898C2×C4—3163no—
1899C2×C4—3161no—
1900C2×C4—3163no—
1901C2×C4—3163no—
1902C2×C4—3163no—
1903C2×C4—3166no—
1904C2×C4—3161no—
1905C2×C4—3163no—
1906C2×C4—3163no—
1907C2×C4—793no—
1908C2×C4—7912no—
1909C2×C4—791no—
1910C2×C4—793no—
1911C2×C4—793no—
1912C2×C4—793no—
1913C2×C4—793no—
1914C2×C4—791no—
1915C2×C4—793no—
1916C2×C4—791no—
1917C2×C4—791no—
1918C2×C4—791no—
1919C2×C4—793no—
1920C2×C4—1586no—
1921C2×C4—15812no—
1922C2×C4—1586no—
1923C2×C4—1586no—
1924C2×C4—15812no—
1925C2×C4—1586no—
1926C2×C4—1586no—
1927C2×C4—1586no—
1928C2×C4C24×D7913yes—
1929C2×C4C24×D7911yescharacteristic
1930C2×C4C24×D7911yescharacteristic
1931C2×C4C24×D7911yescharacteristic
1932C2×C4C24×D7911yescharacteristic
1933C2×C4C24×D7913yes—
1934C2×C4C24×D7913yes—
1935C2×C4C24×D7913yes—
1936C2×C4C24×D7913yes—
1937C2×C4C24×D7913yes—
1938C2×C4C24×D7911yescharacteristic
1939C2×C4C24×D7913yes—
1940C22—21no—
1941C22—21no—
1942C22—23no—
1943C22—21no—
1944C22—23no—
1945C22—21no—
1946C22—21no—
1947C22—23no—
1948C22—21no—
1949C22—3164no—
1950C22—792no—
1951C22—1581no—
1952C22—1583no—
1953C22—1581no—
1954C22—1581no—
1955C22—1583no—
1956C22—1581no—
1957C22—1583no—
1958C22—1581no—
1959C22—1581no—
1960C22—1581no—
1961C22—1581no—
1962C22C25×D7911yescharacteristic
1963C4—21no—
1964C4—23no—
1965C4—23no—
1966C4—21no—
1967C4—21no—
1968C4—23no—
1969C4—21no—
1970C4—23no—
1971C4—23no—
1972C4—23no—
1973C4—21no—
1974C4—796no—
1975C4—1583no—
1976C4—1581no—
1977C4—1583no—
1978C4—1581no—
1979C4—1583no—
1980C4—1583no—
1981C4—1583no—
1982C4—1583no—
1983C4—1581no—
1984C4—1581no—
1985C4—1581no—
1986C4C2×#41×D7916yes—
1987C2—41no—
1988C2—41no—
1989C2—43no—
1990C2—3161no—
1991C2—3163no—
1992C2—3161no—
1993C2—1582no—
1994C2C22×#41×D7911yescharacteristic
1995C2#2377821211yescharacteristic
1996C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3516C2
hypercenter#3516D79
hypocenterC79#62850
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3516

Complements

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

NH ≅ G/Ntype
1. #23777510C2semidirect
2. #23777508C2semidirect
3. #23777501C2semidirect
4. #23777499C2semidirect
5. #23777496C2semidirect
6. #23777492C2semidirect
7. #23777491C2semidirect
8. #23777489C2semidirect
9. #23777415C2semidirect
10. #23777414C2semidirect
11. #23777411C2semidirect
12. #23777408C2semidirect
13. #23777396C2semidirect
14. #23777390C2semidirect
15. #23777387C2semidirect
16. #23777263C2semidirect
17. #23777261C2semidirect
18. #23777204C2semidirect
19. #23777168C2semidirect
20. #23777118C2semidirect
21. #23777116C2semidirect
22. #23777050C2semidirect
23. #23777046C2semidirect
24. #23776832C2semidirect
25. #23776825C2semidirect
26. #23776787C2semidirect
27. #23776783C2semidirect
28. C4×#14579209C2semidirect
29. #23776611C2semidirect
30. #519×D79C2semidirect
31. C79×#3516C2semidirect
35. #19099296C22semidirect
36. #19099296C22semidirect
37. #19099295C22semidirect
38. Q8×Dic158C22semidirect
39. Q8×Dic158C22semidirect
40. #19099292C22semidirect
41. #19099292C22semidirect
42. #19099291C22semidirect
43. #19099290C22semidirect
44. #19099290C22semidirect
45. #19099290C22semidirect
46. #19099288C22semidirect
47. #19099288C22semidirect
49. #19099286C22semidirect
50. #19099286C22semidirect
51. #19099285C22semidirect
53. #19099284C22semidirect
54. #19099284C22semidirect
56. #19099283C22semidirect
57. #19099282C22semidirect
61. #19099280C22semidirect
68. #19099274C22semidirect
69. #19099267C22semidirect
77. #19099249C22semidirect
79. #19099248C22semidirect
80. #19099248C22semidirect
82. #19099247C22semidirect
83. #19099247C22semidirect
84. #19099246C22semidirect
86. #19099232C22semidirect
87. #19099231C22semidirect
93. Q8×C22⋊D79C22semidirect
96. #19099226C22semidirect
98. #19099225C22semidirect
102. #19099222C22semidirect
104. #19099221C22semidirect
110. #19099185C22semidirect
112. #19099184C22semidirect
115. #19099182C22semidirect
117. #19099181C22semidirect
118. #19099180C22semidirect
120. #19099179C22semidirect
122. #19099176C22semidirect
124. #19099173C22semidirect
126. #19099172C22semidirect
128. #19099171C22semidirect
130. #19099170C22semidirect
152. #19099120C22semidirect
153. #19099119C22semidirect
155. #19099118C22semidirect
157. #19099117C22semidirect
158. #19099116C22semidirect
159. #19099115C22semidirect
164. #19099099C22semidirect
166. #19099098C22semidirect
170. #19099096C22semidirect
173. #19099095C22semidirect
176. #19099093C22semidirect
187. #19099045C22semidirect
190. #19099044C22semidirect
192. #19099042C22semidirect
194. #19099041C22semidirect
197. #19099040C22semidirect
204. #19099039C22semidirect
205. #19099039C22semidirect
206. #41×Dic79C22semidirect
208. C4×#11929625C22semidirect
210. C4×#11929624C22semidirect
213. C4×#11929623C22semidirect
214. C2×#14579126C22semidirect
219. C4×Q8×D79C22semidirect
220. C4×Q8×D79C22semidirect
223. #557×C79C22semidirect
224. #556×C79C22semidirect
225. #554×C79C22semidirect
230. #548×C79C22semidirect
232. #541×C79C22semidirect
234. #529×C79C22semidirect
235. #520×C79C22semidirect
237. C2×C4×Q8×C79C22semidirect
1014. #3516D79semidirect
1030. C79#62850semidirect
1047. #557C2×D79semidirect
1062. #556C2×D79semidirect
1071. #554C2×D79semidirect
1113. #548C2×D79semidirect
1139. #541C2×D79semidirect
1192. #529C2×D79semidirect
1204. #520C2×D79semidirect
1234. C2×C4×Q8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237775102
#237775082
#237775012
#237774992
#237774962
#237774922
#237774912
#237774892
#237774152
#237774142
#237774112
#237774082
#237773962
#237773902
#237773872
#237772632
#237772612
#237772042
#237771682
#237771182
#237771162
#237770502
#237770462
#237768322
#237768252
#237767872
#237767832
C4×#145792092
#237766112
#519×D792
C79×#35162
#6285079