Finite Group Databasebeta

← #35197410

Subgroups — #35197410

Order 20224.

7086 conjugacy classes of subgroups.

The subgroup lattice has 2168 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777316C214yesmaximal, complemented
2#23777316C214yesmaximal, complemented
3#23777306C214yesmaximal, complemented
4#23777302C214yesmaximal, complemented
5#23777241C211yesmaximal, characteristic, complemented
6#23777239C211yesmaximal, characteristic, complemented
7#23777237C212yesmaximal, complemented
8#23777234C211yesmaximal, characteristic, complemented
9#23777230C212yesmaximal, complemented
10#23777143C214yesmaximal, complemented
11#23777139C214yesmaximal, complemented
12#23777126C214yesmaximal, complemented
13#23777122C214yesmaximal, complemented
14#23777115C212yesmaximal, complemented
15#23777112C212yesmaximal, complemented
16#23777105C212yesmaximal, complemented
17#23777101C212yesmaximal, complemented
18#23776830C212yesmaximal, complemented
19#23776829C212yesmaximal, complemented
20#23776819C212yesmaximal, complemented
21#23776818C212yesmaximal, complemented
22C2×#19099192C211yesmaximal, characteristic, complemented
23#23776726C212yesmaximal, complemented
24C2×#19099140C211yesmaximal, characteristic, complemented
25#23776598C212yesmaximal, complemented
26C2×#19099042C211yesmaximal, characteristic, complemented
27C79×#3505C211yesmaximal, characteristic, complemented
28C22×#11929623C2211yescharacteristic
29C22×#11929623C2212yes—
30#19099285C2214yescomplemented
31#19099282C2214yescomplemented
32#19099280C2214yescomplemented
33#19099280C2214yescomplemented
34#19099277C2214yescomplemented
35#19099276C2214yescomplemented
36#19099275C2214yescomplemented
37#19099275C2214yescomplemented
38#19099272C2214yescomplemented
39#19099269C2214yescomplemented
40#19099267C2214yescomplemented
41#19099267C2214yescomplemented
42#19099265C2214yescomplemented
43#19099265C2212yescomplemented
44#19099264C2214yescomplemented
45#19099264C2214yescomplemented
46#19099262C2214yescomplemented
47#19099262C2214yescomplemented
48#19099262C2214yescomplemented
49#19099262C2214yescomplemented
50#19099262C2214yescomplemented
51#19099261C2214yescomplemented
52#19099261C2212yescomplemented
53#19099259C2214yescomplemented
54#19099259C2212yescomplemented
55#19099258C2214yescomplemented
56#19099258C2214yescomplemented
57#19099256C2214yescomplemented
58#19099256C2214yescomplemented
59#19099256C2214yescomplemented
60#19099256C2214yescomplemented
61#19099256C2214yescomplemented
62#19099255C2212yescomplemented
63#19099253C2212yescomplemented
64#19099250C2214yescomplemented
65#19099250C2214yescomplemented
66#19099250C2214yescomplemented
67#19099249C2214yescomplemented
68#19099249C2214yescomplemented
69#19099248C2212yescomplemented
70#19099246C2214yescomplemented
71#19099246C2214yescomplemented
72#19099246C2214yescomplemented
73#19099245C2214yescomplemented
74#19099245C2214yescomplemented
75#19099244C2214yescomplemented
76#19099242C2214yescomplemented
77#19099240C2214yescomplemented
78#19099239C2214yescomplemented
79#19099239C2214yescomplemented
80#19099237C2214yescomplemented
81#19099236C2214yescomplemented
82#19099224C2212yescomplemented
83#19099222C2212yescomplemented
84#19099222C2214yescomplemented
85#19099219C2212yescomplemented
86#19099219C2214yescomplemented
87#19099215C2214yescomplemented
88#19099212C2214yescomplemented
89#19099211C2214yescomplemented
90#19099211C2214yescomplemented
91#19099209C2212yescomplemented
92#19099207C2212yescomplemented
93#19099204C2212yescomplemented
94#19099203C2214yescomplemented
95#19099200C2214yescomplemented
96#19099192C2212yescomplemented
97#19099192C2212yescomplemented
98#19099192C2212yescomplemented
99#19099192C2212yescomplemented
100#19099192C2214yescomplemented
101#19099192C2214yescomplemented
102#19099183C2214yescomplemented
103#19099183C2214yescomplemented
104#19099181C2214yescomplemented
105#19099181C2214yescomplemented
106#19099179C2214yescomplemented
107#19099179C2214yescomplemented
108#19099177C2214yescomplemented
109#19099177C2214yescomplemented
110#19099172C2214yescomplemented
111#19099172C2214yescomplemented
112#19099170C2214yescomplemented
113#19099170C2214yescomplemented
114#19099165C2214yescomplemented
115#19099165C2214yescomplemented
116#19099163C2214yescomplemented
117#19099163C2214yescomplemented
118#19099162C2212yescomplemented
119#19099160C2212yescomplemented
120#19099158C2212yescomplemented
121#19099157C2214yescomplemented
122#19099155C2214yescomplemented
123#19099153C2212yescomplemented
124#19099151C2212yescomplemented
125#19099150C2212yescomplemented
126#19099148C2214yescomplemented
127#19099146C2214yescomplemented
128#19099140C2212yes—
129#19099140C2212yes—
130#19099140C2212yes—
131#19099140C2212yes—
132#19099140C2214yescomplemented
133#19099140C2214yescomplemented
134#19099140C2214yescomplemented
135#19099140C2214yescomplemented
136#19099135C2214yes—
137#19099135C2214yescomplemented
138#19099128C2214yes—
139#19099128C2214yescomplemented
140#19099125C2212yes—
141#19099122C2212yes—
142#19099122C2212yes—
143#19099119C2214yescomplemented
144#19099117C2214yescomplemented
145#19099116C2214yescomplemented
146#19099115C2214yescomplemented
147#19099112C2214yescomplemented
148#19099110C2214yescomplemented
149#19099109C2214yescomplemented
150#19099108C2214yescomplemented
151#19099108C2214yescomplemented
152#19099108C2214yescomplemented
153C2×#14579160C2212yescomplemented
154C2×#14579159C2212yescomplemented
155#19099099C2212yescomplemented
156#19099097C2212yescomplemented
157#19099096C2214yescomplemented
158#19099096C2214yescomplemented
159#19099094C2212yescomplemented
160#19099093C2214yescomplemented
161#19099093C2214yescomplemented
162#19099093C2214yescomplemented
163#19099091C2214yescomplemented
164#19099091C2214yescomplemented
165#19099090C2214yescomplemented
166#19099090C2214yescomplemented
167#19099090C2214yescomplemented
168C2×#14579151C2212yescomplemented
169C2×#14579151C2212yescomplemented
170#19099076C2212yescomplemented
171#19099074C2212yescomplemented
172#19099073C2212yescomplemented
173#19099072C2214yescomplemented
174#19099071C2214yes—
175#19099071C2214yescomplemented
176#19099069C2214yes—
177#19099069C2214yescomplemented
178#19099069C2214yescomplemented
179C2×#14579140C2211yescharacteristic
180C2×#14579139C2212yescomplemented
181C2×#14579138C2212yes—
182C2×#14579138C2212yescomplemented
183C2×#14579135C2211yescharacteristic
184C2×#14579134C2212yescomplemented
185C2×#14579133C2212yes—
186C2×#14579133C2212yescomplemented
187#19099042C2214yes—
188#19099042C2214yes—
189#19099042C2214yescomplemented
190#19099042C2214yescomplemented
191#19099042C2214yescomplemented
192#19099042C2214yescomplemented
193#19099042C2214yescomplemented
194#19099042C2214yescomplemented
195#19099040C2214yescomplemented
196#19099038C2212yes—
197#19099036C2212yes—
198#19099036C2212yes—
199#19099036C2214yescomplemented
200C4×#11929623C2214yescomplemented
201C4×#11929623C2214yescomplemented
202C4×#11929623C2214yescomplemented
203C4×#11929623C2214yescomplemented
204C2×C4×Dic158C2211yescharacteristic, complemented
205C2×#14579126C2211yescharacteristic, complemented
206C2×D4×Dic79C2211yescharacteristic
207C2×C4×C22⋊D79C2211yescharacteristic
208C2×C4×C22⋊D79C2211yescharacteristic, complemented
209C2×(C22⋊D79)⋊C4C2211yescharacteristic
210C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
211C2×#14579118C2211yescharacteristic, complemented
212C2×#14579117C2212yes—
213C2×#14579117C2211yescharacteristic
214C2×#14579117C2211yescharacteristic, complemented
215C2×#14579117C2214yescomplemented
216#117×D79C2214yescomplemented
217C22×Dic79⋊C4C2211yescharacteristic
218C22×Dic79⋊C4C2211yescharacteristic, complemented
219C2×C4⋊C4×D79C2211yescharacteristic, complemented
220#553×C79C2214yescomplemented
221#553×C79C2212yescomplemented
222#552×C79C2212yescomplemented
223#551×C79C2214yescomplemented
224#548×C79C2212yescomplemented
225#546×C79C2212yescomplemented
226#539×C79C2212yescomplemented
227#538×C79C2212yescomplemented
228#534×C79C2212yes—
229#529×C79C2212yescomplemented
230#525×C79C2212yescomplemented
231C2×C22⋊Q8×C79C2211yescharacteristic
232C2×#121×C79C2211yescharacteristic
233#518×C79C2212yes—
234C2×C4×D4×C79C2211yescharacteristic
235C2×#11929625C2312yes—
236C2×#11929624C2314yes—
237C2×#11929624C2312yes—
238C2×#11929623—28no—
239C2×#11929623—216no—
240C2×#11929623C2314yes—
241C2×#11929623C2314yes—
242C2×#11929623C2314yes—
243C2×#11929623C2314yes—
244C2×#11929623C2314yes—
245C2×#11929623C2314yes—
246C2×#11929623C2314yes—
247C2×#11929623C2312yes—
248C22×Dic158C2311yescharacteristic
249C22×Dic158C2312yes—
250C22×Dic158C2312yes—
251C22×Dic158C2311yescharacteristic
252C22×D316C2311yescharacteristic
253C22×C22⋊D79C2311yescharacteristic
254C22×C22⋊D79C2311yescharacteristic
255C22×C22⋊D79C2312yes—
256C22×C22⋊D79C2312yes—
257C22×C22⋊D79C2312yes—
258C23×Dic79C2311yescharacteristic
259C23×Dic79C2312yes—
260C23×Dic79C2311yescharacteristic
261C23×Dic79C2311yescharacteristic
262C23×Dic79C2311yescharacteristic
263C22×C4×D79C2311yescharacteristic
264C22×C4×D79C2312yes—
265C22×C4×D79C2311yescharacteristic
266C22×C4×D79C2311yescharacteristic
267#14579160C2314yes—
268#14579160C2314yes—
269#14579160C2314yes—
270#14579160C2314yes—
271#14579160C2314yes—
272#14579160C2314yes—
273#14579159C2314yes—
274#14579159C2314yes—
275#14579159C2314yes—
276#14579159C2314yes—
277#14579157C2314yes—
278#14579157C2314yes—
279#14579156C2314yes—
280#14579156C2314yes—
281#14579156C2314yes—
282#14579156C2314yes—
283#14579156C2314yes—
284#14579156C2314yes—
285#14579156C2314yes—
286#14579156C2314yes—
287#14579156C2314yes—
288#14579155C2314yes—
289#14579155C2314yes—
290#14579155C2314yes—
291#14579154C2314yes—
292#14579154C2314yes—
293#14579154C2314yes—
294#14579154C2314yes—
295#14579154C2314yes—
296#14579154C2314yes—
297#14579154C2314yes—
298#14579154C2314yes—
299#14579154C2314yes—
300#14579153C2314yes—
301#14579153C2312yes—
302#14579152C2314yes—
303#14579152C2314yes—
304#14579152C2312yes—
305#14579152C2312yes—
306#14579151C2314yes—
307#14579151C2314yes—
308#14579151C2314yes—
309#14579151C2314yes—
310#14579151C2314yes—
311#14579151C2314yes—
312#14579151C2314yes—
313#14579151C2314yes—
314#14579151C2314yes—
315#14579151C2314yes—
316#14579151C2314yes—
317#14579151C2314yes—
318#14579151C2314yes—
319#14579151C2314yes—
320#14579150C2314yes—
321#14579150C2312yes—
322#14579149C2314yes—
323#14579149C2312yes—
324#14579148C2314yes—
325#14579148C2312yes—
326#14579147C2314yes—
327#14579147C2314yes—
328#14579147C2314yes—
329#14579147C2314yes—
330#14579147C2314yes—
331#14579147C2314yes—
332#14579147C2314yes—
333#14579147C2314yes—
334#14579147C2314yes—
335#14579147C2314yes—
336#14579146C2314yes—
337#14579146C2314yes—
338#14579146C2314yes—
339#14579146C2314yes—
340#14579146C2314yes—
341#14579146C2314yes—
342#14579145C2314yes—
343#14579145C2314yes—
344#14579145C2314yes—
345#14579145C2314yes—
346#14579145C2314yes—
347#14579144C2314yes—
348#14579144C2314yes—
349#14579144C2314yes—
350#14579144C2314yes—
351#14579144C2314yes—
352#14579143C2314yes—
353#14579143C2314yes—
354#14579143C2314yes—
355#14579143C2314yes—
356#14579143C2314yes—
357#14579143C2314yes—
358#14579142C2314yes—
359#14579142C2314yes—
360#14579142C2314yes—
361#14579142C2314yes—
362#14579142C2314yes—
363#14579141C2314yes—
364#14579141C2312yes—
365#14579140C2312yes—
366#14579140C2312yes—
367#14579140C2314yes—
368#14579140C2312yes—
369#14579140C2312yes—
370#14579140C2312yes—
371#14579139C2314yes—
372#14579139C2314yes—
373#14579139C2314yes—
374#14579139C2314yes—
375#14579139C2314yes—
376#14579139C2314yes—
377#14579139C2314yes—
378#14579139C2314yes—
379#14579139C2314yes—
380#14579139C2314yes—
381#14579139C2314yes—
382#14579138C2314yes—
383#14579138C2314yes—
384#14579138C2314yes—
385#14579138C2314yes—
386#14579138C2314yes—
387#14579138C2314yes—
388#14579138C2314yes—
389#14579138C2314yes—
390#14579138C2314yes—
391#14579138C2314yes—
392#14579138C2314yes—
393#14579138C2314yes—
394#14579138C2314yes—
395#14579138C2314yes—
396#14579138C2314yes—
397#14579137C2314yes—
398#14579137C2312yes—
399#14579136C2314yes—
400#14579136C2312yes—
401#14579135C2312yes—
402#14579135C2312yes—
403#14579135C2312yes—
404#14579135C2312yes—
405#14579135C2314yes—
406#14579135C2314yes—
407#14579135C2314yes—
408#14579135C2312yes—
409#14579134C2314yes—
410#14579134C2314yes—
411#14579134C2314yes—
412#14579134C2314yes—
413#14579134C2314yes—
414#14579134C2314yes—
415#14579134C2314yes—
416#14579134C2314yes—
417#14579134C2314yes—
418#14579134C2314yes—
419#14579134C2314yes—
420#14579133C2314yes—
421#14579133C2314yes—
422#14579133C2314yes—
423#14579133C2314yes—
424#14579133C2314yes—
425#14579133C2314yes—
426#14579133C2314yes—
427#14579133C2314yes—
428#14579133C2314yes—
429#14579133C2314yes—
430#14579133C2314yes—
431#14579133C2314yes—
432#14579133C2314yes—
433#14579133C2314yes—
434#14579133C2314yes—
435#14579133C2314yes—
436#14579133C2314yes—
437#14579133C2314yes—
438#14579133C2314yes—
439#14579132C2314yes—
440#14579132C2312yes—
441#14579131C2314yes—
442#14579131C2314yes—
443#14579130C2314yes—
444#14579130C2314yes—
445#14579129C2314yes—
446#14579129C2314yes—
447Q8×Dic79C2312yes—
448C4×Dic158C2314yes—
449C4×Dic158C2314yes—
450C4×Dic158C2314yes—
451C4×Dic158C2314yes—
452C4×Dic158C2314yes—
453C4×Dic158C2312yes—
454C4×Dic158C2314yes—
455C4×Dic158C2314yes—
456#14579126C2314yes—
457#14579126C2314yes—
458#14579126C2314yes—
459#14579126C2314yes—
460#14579126C2312yes—
461#14579126C2314yes—
462#14579126C2314yes—
463#14579126C2314yes—
464C4×D316C2312yes—
465C4×D316C2314yes—
466D4×Dic79C2314yes—
467D4×Dic79C2314yes—
468D4×Dic79C2314yes—
469D4×Dic79C2312yes—
470D4×Dic79C2314yes—
471D4×Dic79C2314yes—
472D4×Dic79C2314yes—
473D4×Dic79C2314yes—
474D4×Dic79C2314yes—
475D4×Dic79C2314yes—
476#14579123C2312yes—
477#14579123C2314yes—
478#14579123C2314yes—
479#14579123C2314yes—
480C4×C22⋊D79C2314yes—
481C4×C22⋊D79C2314yes—
482C4×C22⋊D79C2314yes—
483C4×C22⋊D79C2314yes—
484C4×C22⋊D79C2314yes—
485C4×C22⋊D79C2314yes—
486C4×C22⋊D79C2314yes—
487C4×C22⋊D79C2312yes—
488C4×C22⋊D79C2312yes—
489C4×C22⋊D79C2314yes—
490C4×C22⋊D79C2314yes—
491C4×C22⋊D79C2312yes—
492C4×C22⋊D79C2312yes—
493C4×C22⋊D79C2314yes—
494C4×C22⋊D79C2314yes—
495C4×C22⋊D79C2314yes—
496C4×C22⋊D79C2314yes—
497(C22⋊D79)⋊C4C2314yes—
498(C22⋊D79)⋊C4C2314yes—
499(C22⋊D79)⋊C4C2314yes—
500(C22⋊D79)⋊C4C2314yes—
501(C22⋊D79)⋊C4C2314yes—
502(C22⋊D79)⋊C4C2314yes—
503(C22⋊D79)⋊C4C2314yes—
504(C22⋊D79)⋊C4C2314yes—
505(C22⋊D79)⋊C4C2314yes—
506(C22⋊D79)⋊C4C2314yes—
507(C22⋊D79)⋊C4C2314yes—
508(C22⋊D79)⋊C4C2314yes—
509(C22⋊D79)⋊C4C2314yes—
510(C22⋊D79)⋊C4C2314yes—
511(C22⋊D79)⋊C4C2314yes—
512(C22⋊D79)⋊C4C2314yes—
513(C22⋊D79)⋊C4C2314yes—
514(C22⋊D79)⋊C4C2314yes—
515(C22⋊D79)⋊C4C2314yes—
516#14579120C2314yes—
517#14579120C2314yes—
518#14579120C2312yes—
519#14579119C2314yes—
520#14579119C2314yes—
521#14579119C2314yes—
522#14579119C2314yes—
523#14579119C2312yes—
524#14579119C2312yes—
525#14579118C2314yes—
526#14579118C2314yes—
527#14579118C2314yes—
528#14579118C2314yes—
529#14579118C2314yes—
530#14579118C2314yes—
531#14579118C2314yes—
532#14579117C2314yes—
533#14579117C2314yes—
534#14579117C2314yes—
535#14579117C2314yes—
536#14579117C2314yes—
537#14579117C2314yes—
538#14579117C2314yes—
539#14579117C2314yes—
540#14579117C2314yes—
541#14579117C2314yes—
542#14579117C2314yes—
543#14579117C2314yes—
544#14579117C2314yes—
545#14579117C2314yes—
546#14579117C2314yes—
547#14579117C2314yes—
548#14579117C2314yes—
549C2×C4⋊Dic79C2311yescharacteristic
550C2×C4⋊Dic79C2311yescharacteristic
551C2×C4⋊Dic79C2312yes—
552C2×C4⋊Dic79C2311yescharacteristic
553C2×Dic79⋊C4C2311yescharacteristic
554C2×Dic79⋊C4C2311yescharacteristic
555C2×Dic79⋊C4C2311yescharacteristic
556C2×Dic79⋊C4C2311yescharacteristic
557C2×Dic79⋊C4C2312yes—
558C2×Dic79⋊C4C2312yes—
559C2×Dic79⋊C4C2312yes—
560C2×Dic79⋊C4C2312yes—
561C2×Dic79⋊C4C2311yescharacteristic
562C2×Dic79⋊C4C2311yescharacteristic
563C2×Dic79⋊C4C2312yes—
564C2×Dic79⋊C4C2312yes—
565C2×Dic79⋊C4C2314yes—
566C2×Dic79⋊C4C2314yes—
567C2×Dic79⋊C4C2314yes—
568C2×Dic79⋊C4C2312yes—
569C2×Dic79⋊C4C2314yes—
570C2×Dic79⋊C4C2312yes—
571C2×Dic79⋊C4C2312yes—
572C2×Dic79⋊C4C2312yes—
573C2×Dic79⋊C4C2311yescharacteristic
574C2×Dic79⋊C4C2311yescharacteristic
575C4⋊C4×D79C2314yes—
576C4⋊C4×D79C2314yes—
577C4⋊C4×D79C2314yes—
578C4⋊C4×D79C2314yes—
579C2×C22⋊Dic79C2311yescharacteristic
580C2×C22⋊Dic79C2314yes—
581C2×C22⋊Dic79C2312yes—
582C2×C22⋊Dic79C2311yescharacteristic
583C2×C22⋊Dic79C2312yes—
584C2×(C2×D79)⋊C4C2311yescharacteristic
585C2×(C2×D79)⋊C4C2311yescharacteristic
586C2×(C2×D79)⋊C4C2312yes—
587C2×(C2×D79)⋊C4C2312yes—
588C22⋊C4×D79C2314yes—
589C22⋊C4×D79C2314yes—
590C2×C4×Dic79C2311yescharacteristic
591C2×C4×Dic79C2311yescharacteristic
592C2×C4×Dic79C2312yes—
593C2×C4×Dic79C2312yes—
594C2×C4×Dic79C2311yescharacteristic
595C2×C4×Dic79C2311yescharacteristic
596C2×C4×Dic79C2314yes—
597C2×C4×Dic79C2314yes—
598C2×C4×Dic79C2311yescharacteristic
599C42×D79C2314yes—
600C42×D79C2314yes—
601C2×#41×C79C2312yes—
602C22×Q8×C79C2311yescharacteristic
603C22×D4×C79C2311yescharacteristic
604C22×D4×C79C2312yes—
605C22×D4×C79C2311yescharacteristic
606C23×C4×C79C2311yescharacteristic
607C23×C4×C79C2311yescharacteristic
608#126×C79C2314yes—
609#126×C79C2314yes—
610#126×C79C2314yes—
611#125×C79C2312yes—
612#125×C79C2314yes—
613#124×C79C2312yes—
614#124×C79C2314yes—
615#123×C79C2314yes—
616#123×C79C2314yes—
617#123×C79C2314yes—
618#123×C79C2314yes—
619#123×C79C2314yes—
620C22⋊Q8×C79C2312yes—
621C22⋊Q8×C79C2312yes—
622C22⋊Q8×C79C2314yes—
623C22⋊Q8×C79C2312yes—
624C22⋊Q8×C79C2312yes—
625C22⋊Q8×C79C2312yes—
626#121×C79C2312yes—
627#121×C79C2312yes—
628#121×C79C2312yes—
629#121×C79C2312yes—
630#121×C79C2314yes—
631#121×C79C2314yes—
632#121×C79C2312yes—
633#121×C79C2314yes—
634#120×C79C2314yes—
635#120×C79C2314yes—
636C4×Q8×C79C2312yes—
637C4×D4×C79C2314yes—
638C4×D4×C79C2314yes—
639C4×D4×C79C2312yes—
640C4×D4×C79C2312yes—
641C4×D4×C79C2314yes—
642C4×D4×C79C2312yes—
643C4×D4×C79C2312yes—
644C4×D4×C79C2314yes—
645C4×D4×C79C2314yes—
646C4×D4×C79C2312yes—
647#117×C79C2314yes—
648#117×C79C2312yes—
649#117×C79C2314yes—
650C2×C4⋊C4×C79C2311yescharacteristic
651C2×C4⋊C4×C79C2311yescharacteristic
652C2×C4⋊C4×C79C2311yescharacteristic
653C2×C4⋊C4×C79C2312yes—
654C2×C22⋊C4×C79C2311yescharacteristic
655C2×C22⋊C4×C79C2314yes—
656C2×C22⋊C4×C79C2311yescharacteristic
657C2×C22⋊C4×C79C2312yes—
658C2×C22⋊C4×C79C2312yes—
659C2×C42×C79C2311yescharacteristic
660C23×D79C2412yes—
661C23×D79C2411yescharacteristic
662#11929625—82no—
663#11929624—84no—
664#11929624—82no—
665#11929623—216no—
666#11929623—216no—
667#11929623—216no—
668#11929623—216no—
669#11929623—216no—
670#11929623—216no—
671#11929623—84no—
672#11929623—82no—
673C2×Dic158—28no—
674C2×Dic158—24no—
675C2×Dic158—81no—
676C2×Dic158—82no—
677C2×Dic158C2414yes—
678C2×Dic158C2414yes—
679C2×Dic158C2414yes—
680C2×Dic158C2414yes—
681C2×Dic158C2412yes—
682C2×Dic158C2414yes—
683C2×Dic158C2412yes—
684C2×D316—81no—
685C2×D316C2414yes—
686C2×D316C2412yes—
687C2×D316C2412yes—
688C2×D316C2414yes—
689C2×C22⋊D79—24no—
690C2×C22⋊D79—28no—
691C2×C22⋊D79—24no—
692C2×C22⋊D79—28no—
693C2×C22⋊D79—82no—
694C2×C22⋊D79C2412yes—
695C2×C22⋊D79C2414yes—
696C2×C22⋊D79C2414yes—
697C2×C22⋊D79C2414yes—
698C2×C22⋊D79C2412yes—
699C2×C22⋊D79C2414yes—
700C2×C22⋊D79C2414yes—
701C2×C22⋊D79C2414yes—
702C2×C22⋊D79C2414yes—
703C2×C22⋊D79C2414yes—
704C2×C22⋊D79C2414yes—
705C2×C22⋊D79C2414yes—
706C2×C22⋊D79C2414yes—
707C22×Dic79—24no—
708C22×Dic79—28no—
709C22×Dic79—81no—
710C22×Dic79—81no—
711C22×Dic79#4118yescomplemented
712C22×Dic79C2411yescharacteristic
713C22×Dic79C2412yes—
714C22×Dic79C2414yes—
715C22×Dic79C2414yes—
716C22×Dic79C2414yes—
717C22×Dic79C2412yes—
718C22×Dic79C2412yes—
719C22×Dic79C2414yes—
720C22×Dic79C2414yes—
721C22×Dic79C2411yescharacteristic
722C22×Dic79C2411yescharacteristic
723C22×Dic79C2412yes—
724C22×Dic79C2411yescharacteristic
725C22×Dic79C2411yescharacteristic
726C22×Dic79C2414yes—
727C22×Dic79C2412yes—
728C22×Dic79C2411yescharacteristic
729C22×Dic79C2412yes—
730C22×Dic79C2412yes—
731C22×Dic79C2411yescharacteristic
732C2×C4×D79—24no—
733C2×C4×D79—28no—
734C2×C4×D79—81no—
735C2×C4×D79—81no—
736C2×C4×D79C2414yes—
737C2×C4×D79C2414yes—
738C2×C4×D79C2414yes—
739C2×C4×D79C2414yes—
740C2×C4×D79C2412yes—
741C2×C4×D79C2414yes—
742C2×C4×D79C2414yes—
743C2×C4×D79C2412yes—
744C2×C4×D79C2414yes—
745C2×C4×D79C2414yes—
746C4⋊Dic79C2414yes—
747C4⋊Dic79C2414yes—
748C4⋊Dic79C2414yes—
749C4⋊Dic79C2412yes—
750C4⋊Dic79C2414yes—
751C4⋊Dic79C2412yes—
752C4⋊Dic79C2414yes—
753C4⋊Dic79C2412yes—
754C4⋊Dic79C2412yes—
755C4⋊Dic79C2414yes—
756C4⋊Dic79C2414yes—
757Dic79⋊C4C2414yes—
758Dic79⋊C4C2412yes—
759Dic79⋊C4C2412yes—
760Dic79⋊C4C2414yes—
761Dic79⋊C4C2414yes—
762Dic79⋊C4C2414yes—
763Dic79⋊C4C2412yes—
764Dic79⋊C4C2412yes—
765Dic79⋊C4C2412yes—
766Dic79⋊C4C2412yes—
767Dic79⋊C4C2414yes—
768Dic79⋊C4C2412yes—
769Dic79⋊C4C2412yes—
770Dic79⋊C4C2412yes—
771Dic79⋊C4C2412yes—
772Dic79⋊C4C2414yes—
773Dic79⋊C4C2414yes—
774Dic79⋊C4C2414yes—
775Dic79⋊C4C2414yes—
776Dic79⋊C4C2414yes—
777Dic79⋊C4C2414yes—
778Dic79⋊C4C2414yes—
779Dic79⋊C4C2414yes—
780Dic79⋊C4C2414yes—
781Dic79⋊C4C2414yes—
782Dic79⋊C4C2414yes—
783Dic79⋊C4C2414yes—
784Dic79⋊C4C2414yes—
785Dic79⋊C4C2414yes—
786Dic79⋊C4C2414yes—
787Dic79⋊C4C2414yes—
788Dic79⋊C4C2414yes—
789Dic79⋊C4C2414yes—
790C22⋊Dic79C2412yes—
791C22⋊Dic79C2414yes—
792C22⋊Dic79C2412yes—
793C22⋊Dic79C2414yes—
794C22⋊Dic79C2414yes—
795C22⋊Dic79C2414yes—
796C22⋊Dic79C2414yes—
797C22⋊Dic79C2414yes—
798C22⋊Dic79C2414yes—
799C22⋊Dic79C2414yes—
800C22⋊Dic79C2414yes—
801C22⋊Dic79C2414yes—
802C22⋊Dic79C2414yes—
803(C2×D79)⋊C4C2414yes—
804(C2×D79)⋊C4C2414yes—
805(C2×D79)⋊C4C2414yes—
806(C2×D79)⋊C4C2414yes—
807(C2×D79)⋊C4C2414yes—
808(C2×D79)⋊C4C2412yes—
809(C2×D79)⋊C4C2412yes—
810(C2×D79)⋊C4C2414yes—
811(C2×D79)⋊C4C2414yes—
812(C2×D79)⋊C4C2414yes—
813(C2×D79)⋊C4C2414yes—
814(C2×D79)⋊C4C2414yes—
815(C2×D79)⋊C4C2414yes—
816(C2×D79)⋊C4C2414yes—
817(C2×D79)⋊C4C2414yes—
818(C2×D79)⋊C4C2414yes—
819(C2×D79)⋊C4C2414yes—
820(C2×D79)⋊C4C2414yes—
821(C2×D79)⋊C4C2414yes—
822C4×Dic79C2414yes—
823C4×Dic79C2414yes—
824C4×Dic79C2414yes—
825C4×Dic79C2414yes—
826C4×Dic79C2414yes—
827C4×Dic79C2414yes—
828C4×Dic79C2412yes—
829C4×Dic79C2414yes—
830C4×Dic79C2414yes—
831C4×Dic79C2414yes—
832C4×Dic79C2414yes—
833C4×Dic79C2414yes—
834C4×Dic79C2412yes—
835C4×Dic79C2414yes—
836C4×Dic79C2414yes—
837C4×Dic79C2414yes—
838C24×C79C2412yes—
839C24×C79C2411yescharacteristic
840C24×C79C2411yescharacteristic
841#41×C79—82no—
842C2×Q8×C79—81no—
843C2×Q8×C79C2412yes—
844C2×Q8×C79C2412yes—
845C2×D4×C79—24no—
846C2×D4×C79—28no—
847C2×D4×C79—81no—
848C2×D4×C79C2412yes—
849C2×D4×C79C2414yes—
850C2×D4×C79C2414yes—
851C2×D4×C79C2412yes—
852C2×D4×C79C2414yes—
853C2×D4×C79C2412yes—
854C2×D4×C79C2414yes—
855C2×D4×C79C2412yes—
856C22×C4×C79—81no—
857C22×C4×C79—81no—
858C22×C4×C79C2411yescharacteristic
859C22×C4×C79C2412yes—
860C22×C4×C79C2412yes—
861C22×C4×C79C2411yescharacteristic
862C22×C4×C79C2414yes—
863C22×C4×C79C2412yes—
864C22×C4×C79C2411yescharacteristic
865C22×C4×C79C2411yescharacteristic
866C22×C4×C79C2411yescharacteristic
867C22×C4×C79C2412yes—
868C22×C4×C79C2411yescharacteristic
869C22×C4×C79C2411yescharacteristic
870C22×C4×C79C2414yes—
871C22×C4×C79C2411yescharacteristic
872C22×C4×C79C2411yescharacteristic
873C22×C4×C79C2412yes—
874C4⋊C4×C79C2412yes—
875C4⋊C4×C79C2414yes—
876C4⋊C4×C79C2412yes—
877C4⋊C4×C79C2412yes—
878C4⋊C4×C79C2412yes—
879C4⋊C4×C79C2412yes—
880C4⋊C4×C79C2414yes—
881C4⋊C4×C79C2412yes—
882C4⋊C4×C79C2414yes—
883C4⋊C4×C79C2414yes—
884C4⋊C4×C79C2414yes—
885C4⋊C4×C79C2414yes—
886C22⋊C4×C79C2412yes—
887C22⋊C4×C79C2414yes—
888C22⋊C4×C79C2414yes—
889C22⋊C4×C79C2412yes—
890C22⋊C4×C79C2414yes—
891C22⋊C4×C79C2412yes—
892C22⋊C4×C79C2414yes—
893C22⋊C4×C79C2414yes—
894C22⋊C4×C79C2412yes—
895C22⋊C4×C79C2414yes—
896C22⋊C4×C79C2414yes—
897C22⋊C4×C79C2414yes—
898C22⋊C4×C79C2414yes—
899C22⋊C4×C79C2414yes—
900C42×C79C2412yes—
901C42×C79C2412yes—
902C42×C79C2414yes—
903C42×C79C2414yes—
904C23×C79—22no—
905C23×C79—24no—
906C23×C79—41no—
907C23×C79—41no—
908C23×C79—41no—
909C23×C79—41no—
910C23×C79—42no—
911C23×C79—42no—
912C23×C79C2×#4114yes—
913C23×C79C2514yes—
914C23×C79C2512yes—
915C23×C79C2511yescharacteristic
916C23×C79C2511yescharacteristic
917C23×C79C2511yescharacteristic
918C22×D79—22no—
919C22×D79—24no—
920C22×D79—41no—
921C22×D79—41no—
922C22×D79—42no—
923C22×D79—42no—
924C22×D79C2514yes—
925C22×D79C2512yes—
926Q8×C79—42no—
927Q8×C79—42no—
928D4×C79—24no—
929D4×C79—28no—
930D4×C79—28no—
931D4×C79—24no—
932D4×C79—42no—
933D4×C79—44no—
934D4×C79—42no—
935D4×C79—44no—
936C2×C4×C79—22no—
937C2×C4×C79—24no—
938C2×C4×C79—41no—
939C2×C4×C79—41no—
940C2×C4×C79—41no—
941C2×C4×C79—41no—
942C2×C4×C79—42no—
943C2×C4×C79—42no—
944C2×C4×C79—44no—
945C2×C4×C79—41no—
946C2×C4×C79—41no—
947C2×C4×C79—41no—
948C2×C4×C79—42no—
949C2×C4×C79—41no—
950C2×C4×C79—44no—
951C2×C4×C79—42no—
952C2×C4×C79C2512yes—
953C2×C4×C79C2512yes—
954C2×C4×C79C2514yes—
955C2×C4×C79C2514yes—
956C2×C4×C79C2514yes—
957C2×C4×C79C2512yes—
958C2×C4×C79C2511yescharacteristic
959C2×C4×C79C2511yescharacteristic
960C2×C4×C79C2511yescharacteristic
961C2×C4×C79C2511yescharacteristic
962C22⋊D79—24no—
963C22⋊D79—28no—
964C22⋊D79—28no—
965C22⋊D79—24no—
966C22⋊D79—28no—
967C22⋊D79—28no—
968C22⋊D79—28no—
969C22⋊D79—44no—
970C22⋊D79—44no—
971C22⋊D79—44no—
972C22⋊D79—44no—
973C22⋊D79—44no—
974C22⋊D79—44no—
975C2×Dic79—22no—
976C2×Dic79—24no—
977C2×Dic79—28no—
978C2×Dic79—28no—
979C2×Dic79—28no—
980C2×Dic79—41no—
981C2×Dic79—41no—
982C2×Dic79—41no—
983C2×Dic79—42no—
984C2×Dic79—42no—
985C2×Dic79—44no—
986C2×Dic79—42no—
987C2×Dic79—44no—
988C2×Dic79—41no—
989C2×Dic79—42no—
990C2×Dic79—44no—
991C2×Dic79C2×#4118yes—
992C2×Dic79C2×#4114yes—
993C2×Dic79C2×#4114yes—
994C2×Dic79C2×#4118yes—
995C2×Dic79C2512yes—
996C2×Dic79C2512yes—
997C2×Dic79C2512yes—
998C2×Dic79C2514yes—
999C2×Dic79C2514yes—
1000C2×Dic79C2514yes—
1001C2×Dic79C2512yes—
1002C2×Dic79C2512yes—
1003C2×Dic79C2512yes—
1004C2×Dic79C2512yes—
1005D316—42no—
1006D316—42no—
1007D316—44no—
1008D316—44no—
1009C4×D79—28no—
1010C4×D79—28no—
1011C4×D79—28no—
1012C4×D79—42no—
1013C4×D79—44no—
1014C4×D79—42no—
1015C4×D79—44no—
1016C4×D79—44no—
1017C4×D79—44no—
1018C4×D79—44no—
1019Dic158—28no—
1020Dic158—28no—
1021Dic158—28no—
1022Dic158—42no—
1023Dic158—44no—
1024Dic158—42no—
1025Dic158—44no—
1026C22×C79—21no—
1027C22×C79—21no—
1028C22×C79—21no—
1029C22×C79—21no—
1030C22×C79—21no—
1031C22×C79—21no—
1032C22×C79—22no—
1033C22×C79—24no—
1034C22×C79—24no—
1035C22×C79—22no—
1036C22×C79—22no—
1037C22×C79—24no—
1038C22×C79—44no—
1039C22×C79—44no—
1040C22×C79—84no—
1041C22×C79C22×#4112yes—
1042C22×C79C22×#4112yes—
1043C22×C79C22×#4112yes—
1044C22×C79C2611yescharacteristic
1045C2×D79—22no—
1046C2×D79—24no—
1047C2×D79—24no—
1048C2×D79—22no—
1049C2×D79—22no—
1050C2×D79—24no—
1051C2×D79—44no—
1052C2×D79—84no—
1053C4×C79—22no—
1054C4×C79—24no—
1055C4×C79—21no—
1056C4×C79—21no—
1057C4×C79—22no—
1058C4×C79—21no—
1059C4×C79—21no—
1060C4×C79—24no—
1061C4×C79—22no—
1062C4×C79—24no—
1063Dic79—24no—
1064Dic79—22no—
1065Dic79—24no—
1066Dic79—22no—
1067Dic79—22no—
1068Dic79—22no—
1069Dic79—24no—
1070Dic79—22no—
1071Dic79C22×#4114yes—
1072Dic79C22×#4114yes—
1073#62856—791nomaximal, Sylow
1074C2×C79—22no—
1075C2×C79—22no—
1076C2×C79—22no—
1077C2×C79—42no—
1078C2×C79—44no—
1079C2×C79C23×#4111yescharacteristic
1080C2×C79H(7,𝔽2)11yescharacteristic
1081C2×C792−1+611yescharacteristic
1082D79—42no—
1083D79—44no—
1084#3512—794no—
1085#3512—794no—
1086#3511—794no—
1087#3511—794no—
1088#3505—792no—
1089#3505—791no—
1090#3505—791no—
1091#3505—792no—
1092#3505—791no—
1093#3505D7911yescharacteristic, complemented
1094#3495—794no—
1095#3495—794no—
1096#3494—794no—
1097#3494—794no—
1098#3493—792no—
1099#3493—792no—
1100#3492—792no—
1101#3492—792no—
1102#3461—792no—
1103#3461—792no—
1104#3460—792no—
1105#3460—792no—
1106C2×#544—791no—
1107#3449—792no—
1108C2×#537—791no—
1109#3428—792no—
1110C2×#520—791no—
1111C79#6285611yescharacteristic, complemented, Sylow
1112C22×#41—791no—
1113C22×#41—792no—
1114#556—794no—
1115#556—794no—
1116#556—794no—
1117#556—794no—
1118#555—794no—
1119#555—794no—
1120#555—794no—
1121#555—794no—
1122#554—794no—
1123#554—794no—
1124#554—794no—
1125#554—794no—
1126#553—794no—
1127#553—794no—
1128#553—794no—
1129#553—794no—
1130#553—794no—
1131#553—794no—
1132#553—794no—
1133#553—794no—
1134#553—794no—
1135#553—794no—
1136#553—792no—
1137#553—794no—
1138#553—792no—
1139#553—794no—
1140#553—794no—
1141#553—794no—
1142#553—794no—
1143#553—794no—
1144#553—794no—
1145#553—792no—
1146#553C2×D7914yescomplemented
1147#553C2×D7912yescomplemented
1148#552—794no—
1149#552—794no—
1150#552—794no—
1151#552—794no—
1152#552—794no—
1153#552—794no—
1154#552—794no—
1155#552—792no—
1156#552—792no—
1157#552—794no—
1158#552—794no—
1159#552—794no—
1160#552—792no—
1161#552C2×D7912yescomplemented
1162#551—794no—
1163#551—794no—
1164#551—794no—
1165#551—794no—
1166#551—794no—
1167#551—794no—
1168#551—794no—
1169#551C2×D7914yescomplemented
1170#548—792no—
1171#548—794no—
1172#548—792no—
1173#548—794no—
1174#548—792no—
1175#548C2×D7912yescomplemented
1176#547—794no—
1177#547—794no—
1178#547—794no—
1179#547—794no—
1180#546—792no—
1181#546—792no—
1182#546—794no—
1183#546—792no—
1184#546—794no—
1185#546C2×D7912yescomplemented
1186#544—792no—
1187#544—792no—
1188#544—792no—
1189#544—792no—
1190#544—794no—
1191#544—794no—
1192#542—794no—
1193#542—794no—
1194#542—794no—
1195#542—794no—
1196#542—794no—
1197#542—794no—
1198#542—794no—
1199#542—794no—
1200#541—794no—
1201#541—794no—
1202#541—794no—
1203#541—794no—
1204#540—794no—
1205#540—794no—
1206#540—794no—
1207#540—794no—
1208#539—794no—
1209#539—792no—
1210#539—792no—
1211#539—794no—
1212#539—792no—
1213#539C2×D7912yescomplemented
1214#538—792no—
1215#538—792no—
1216#538—794no—
1217#538—794no—
1218#538—792no—
1219#538C2×D7912yescomplemented
1220#537—792no—
1221#537—792no—
1222#537—792no—
1223#537—792no—
1224#537—794no—
1225#537—794no—
1226#537—794no—
1227#537—794no—
1228#536—794no—
1229#536—794no—
1230#535—794no—
1231#535—794no—
1232#534—792no—
1233#534—792no—
1234#534—792no—
1235#534C2×D7912yes—
1236#533—794no—
1237#533—794no—
1238#533—794no—
1239#533—794no—
1240#532—794no—
1241#532—794no—
1242#532—794no—
1243#532—794no—
1244#532—794no—
1245#532—794no—
1246C2×C4⋊Q8—792no—
1247C2×C4⋊Q8—792no—
1248#529—794no—
1249#529—794no—
1250#529—794no—
1251#529—794no—
1252#529—794no—
1253#529—792no—
1254#529—792no—
1255#529—794no—
1256#529—794no—
1257#529—794no—
1258#529—794no—
1259#529—794no—
1260#529—792no—
1261#529C2×D7912yescomplemented
1262C2×#125—792no—
1263C2×#125—792no—
1264#525—792no—
1265#525—794no—
1266#525—794no—
1267#525—792no—
1268#525—792no—
1269#525—794no—
1270#525—794no—
1271#525—794no—
1272#525—794no—
1273#525C2×D7912yescomplemented
1274C2×C22⋊Q8—791no—
1275C2×C22⋊Q8—792no—
1276C2×C22⋊Q8—792no—
1277C2×C22⋊Q8—792no—
1278C2×C22⋊Q8C2×D7911yescharacteristic
1279C2×#121—792no—
1280C2×#121—792no—
1281C2×#121—791no—
1282C2×#121—792no—
1283C2×#121C2×D7911yescharacteristic
1284#520—794no—
1285#520—794no—
1286#520—794no—
1287#520—794no—
1288#520—794no—
1289#520—794no—
1290#520—794no—
1291#520—794no—
1292#519—794no—
1293#518—792no—
1294#518—792no—
1295#518—792no—
1296#518—794no—
1297#518C2×D7912yes—
1298C4×#41—794no—
1299C4×#41—794no—
1300C4×#41—794no—
1301C4×#41—794no—
1302C2×C4×Q8—791no—
1303C2×C4×Q8—791no—
1304C2×C4×D4—791no—
1305C2×C4×D4—791no—
1306C2×C4×D4—791no—
1307C2×C4×D4—791no—
1308C2×C4×D4—791no—
1309C2×C4×D4C2×D7911yescharacteristic
1310C2×#117—794no—
1311C2×#117—791no—
1312C2×#117—791no—
1313C2×#117—792no—
1314C2×#117—794no—
1315C2×#117—791no—
1316C22×C4⋊C4—791no—
1317C22×C4⋊C4—791no—
1318C22×C4⋊C4—791no—
1319C2×#41—792no—
1320C2×#41—792no—
1321C2×#41—794no—
1322C2×#41—794no—
1323C2×#41—794no—
1324C2×#41—794no—
1325C2×#41—794no—
1326C2×#41—794no—
1327C2×#41—794no—
1328C2×#41—792no—
1329C2×#41—794no—
1330C2×#41—1588no—
1331C2×#41—15816no—
1332C2×#41C22×D7912yes—
1333C22×Q8—791no—
1334C22×Q8—792no—
1335C22×Q8—791no—
1336C22×Q8—792no—
1337C22×Q8C22×D7911yescharacteristic
1338C22×D4—792no—
1339C22×D4—791no—
1340C22×D4—791no—
1341C22×D4—792no—
1342C22×D4—792no—
1343C22×D4—791no—
1344C22×D4C22×D7911yescharacteristic
1345C22×D4C22×D7912yes—
1346C22×D4C22×D7911yescharacteristic
1347C23×C4—791no—
1348C23×C4—791no—
1349C23×C4—791no—
1350C23×C4—791no—
1351C23×C4—792no—
1352C23×C4—791no—
1353C23×C4—791no—
1354C23×C4—791no—
1355C23×C4—792no—
1356C23×C4C22×D7911yescharacteristic
1357C23×C4C22×D7911yescharacteristic
1358C4⋊Q8—794no—
1359C4⋊Q8—794no—
1360C4⋊Q8—794no—
1361C4⋊Q8—794no—
1362C4⋊Q8—794no—
1363C4⋊Q8—794no—
1364C4⋊Q8—794no—
1365C4⋊Q8—794no—
1366C4⋊Q8—794no—
1367C4⋊Q8—794no—
1368#127—794no—
1369#127—794no—
1370#126—794no—
1371#126—794no—
1372#126—794no—
1373#126—794no—
1374#126—794no—
1375#126—794no—
1376#126—794no—
1377#126—794no—
1378#126—794no—
1379#126—794no—
1380#126—794no—
1381#126—794no—
1382#126—794no—
1383#126—794no—
1384#126—794no—
1385#126—794no—
1386#126—794no—
1387#126—794no—
1388#126—794no—
1389#126—794no—
1390#126—794no—
1391#126C22×D7914yes—
1392#126C22×D7914yes—
1393#126C22×D7914yes—
1394#125—794no—
1395#125—794no—
1396#125—794no—
1397#125—794no—
1398#125—794no—
1399#125—794no—
1400#125—794no—
1401#125—794no—
1402#125—794no—
1403#125—794no—
1404#125—792no—
1405#125—792no—
1406#125—794no—
1407#125—794no—
1408#125—794no—
1409#125—794no—
1410#125—794no—
1411#125—794no—
1412#125—792no—
1413#125—794no—
1414#125C22×D7912yes—
1415#125C22×D7914yes—
1416#124—792no—
1417#124—794no—
1418#124—792no—
1419#124—794no—
1420#124—794no—
1421#124—794no—
1422#124—794no—
1423#124—794no—
1424#124—794no—
1425#124—794no—
1426#124—794no—
1427#124—794no—
1428#124—794no—
1429#124—794no—
1430#124—792no—
1431#124—794no—
1432#124C22×D7912yes—
1433#124C22×D7914yes—
1434#123—794no—
1435#123—794no—
1436#123—794no—
1437#123—794no—
1438#123—794no—
1439#123—794no—
1440#123—794no—
1441#123—794no—
1442#123—794no—
1443#123—794no—
1444#123—794no—
1445#123—794no—
1446#123—794no—
1447#123—794no—
1448#123—794no—
1449#123—794no—
1450#123—794no—
1451#123—794no—
1452#123—794no—
1453#123—794no—
1454#123—794no—
1455#123—794no—
1456#123—794no—
1457#123—794no—
1458#123—794no—
1459#123—794no—
1460#123—794no—
1461#123C22×D7914yes—
1462#123C22×D7914yes—
1463#123C22×D7914yes—
1464#123C22×D7914yes—
1465#123C22×D7914yes—
1466C22⋊Q8—792no—
1467C22⋊Q8—794no—
1468C22⋊Q8—792no—
1469C22⋊Q8—792no—
1470C22⋊Q8—792no—
1471C22⋊Q8—792no—
1472C22⋊Q8—792no—
1473C22⋊Q8—794no—
1474C22⋊Q8—794no—
1475C22⋊Q8—794no—
1476C22⋊Q8—794no—
1477C22⋊Q8—794no—
1478C22⋊Q8—794no—
1479C22⋊Q8—794no—
1480C22⋊Q8—794no—
1481C22⋊Q8—794no—
1482C22⋊Q8—794no—
1483C22⋊Q8—792no—
1484C22⋊Q8—794no—
1485C22⋊Q8—794no—
1486C22⋊Q8—794no—
1487C22⋊Q8—794no—
1488C22⋊Q8—794no—
1489C22⋊Q8—794no—
1490C22⋊Q8—794no—
1491C22⋊Q8—794no—
1492C22⋊Q8—794no—
1493C22⋊Q8—794no—
1494C22⋊Q8—794no—
1495C22⋊Q8—794no—
1496C22⋊Q8—794no—
1497C22⋊Q8—794no—
1498C22⋊Q8—794no—
1499C22⋊Q8—794no—
1500C22⋊Q8—794no—
1501C22⋊Q8—794no—
1502C22⋊Q8C22×D7912yes—
1503C22⋊Q8C22×D7912yes—
1504C22⋊Q8C22×D7912yes—
1505C22⋊Q8C22×D7912yes—
1506C22⋊Q8C22×D7912yes—
1507C22⋊Q8C22×D7914yes—
1508#121—794no—
1509#121—794no—
1510#121—794no—
1511#121—794no—
1512#121—794no—
1513#121—794no—
1514#121—794no—
1515#121—794no—
1516#121—794no—
1517#121—794no—
1518#121—794no—
1519#121—794no—
1520#121—792no—
1521#121—794no—
1522#121—794no—
1523#121—794no—
1524#121—794no—
1525#121—794no—
1526#121—794no—
1527#121—794no—
1528#121—794no—
1529#121—792no—
1530#121—792no—
1531#121—792no—
1532#121—792no—
1533#121—792no—
1534#121—794no—
1535#121—794no—
1536#121—794no—
1537#121—792no—
1538#121—794no—
1539#121—794no—
1540#121—794no—
1541#121—794no—
1542#121—794no—
1543#121—794no—
1544#121—794no—
1545#121—794no—
1546#121—794no—
1547#121—794no—
1548#121—794no—
1549#121—794no—
1550#121C22×D7912yes—
1551#121C22×D7912yes—
1552#121C22×D7912yes—
1553#121C22×D7912yes—
1554#121C22×D7912yes—
1555#121C22×D7914yes—
1556#121C22×D7914yes—
1557#121C22×D7914yes—
1558#120—794no—
1559#120—794no—
1560#120—794no—
1561#120—794no—
1562#120—794no—
1563#120—794no—
1564#120C22×D7914yes—
1565#120C22×D7914yes—
1566C4×Q8—792no—
1567C4×Q8—794no—
1568C4×Q8—794no—
1569C4×Q8—794no—
1570C4×Q8—794no—
1571C4×Q8—794no—
1572C4×Q8—794no—
1573C4×Q8—794no—
1574C4×Q8—792no—
1575C4×Q8—794no—
1576C4×Q8—794no—
1577C4×Q8—794no—
1578C4×Q8—794no—
1579C4×Q8—794no—
1580C4×Q8—794no—
1581C4×Q8—794no—
1582C4×Q8—792no—
1583C4×Q8C22×D7912yes—
1584C4×D4—794no—
1585C4×D4—794no—
1586C4×D4—794no—
1587C4×D4—794no—
1588C4×D4—794no—
1589C4×D4—794no—
1590C4×D4—794no—
1591C4×D4—794no—
1592C4×D4—794no—
1593C4×D4—792no—
1594C4×D4—794no—
1595C4×D4—794no—
1596C4×D4—792no—
1597C4×D4—792no—
1598C4×D4—792no—
1599C4×D4—792no—
1600C4×D4—794no—
1601C4×D4—794no—
1602C4×D4—794no—
1603C4×D4—794no—
1604C4×D4—794no—
1605C4×D4—794no—
1606C4×D4—794no—
1607C4×D4—794no—
1608C4×D4—794no—
1609C4×D4—794no—
1610C4×D4—794no—
1611C4×D4—794no—
1612C4×D4—794no—
1613C4×D4—794no—
1614C4×D4—792no—
1615C4×D4—794no—
1616C4×D4—794no—
1617C4×D4—794no—
1618C4×D4—794no—
1619C4×D4—794no—
1620C4×D4—794no—
1621C4×D4—794no—
1622C4×D4—794no—
1623C4×D4—794no—
1624C4×D4—794no—
1625C4×D4—794no—
1626C4×D4—794no—
1627C4×D4—794no—
1628C4×D4—794no—
1629C4×D4—794no—
1630C4×D4—794no—
1631C4×D4—794no—
1632C4×D4—794no—
1633C4×D4—794no—
1634C4×D4—794no—
1635C4×D4—792no—
1636C4×D4C22×D7912yes—
1637C4×D4C22×D7912yes—
1638C4×D4C22×D7912yes—
1639C4×D4C22×D7912yes—
1640C4×D4C22×D7914yes—
1641C4×D4C22×D7914yes—
1642C4×D4C22×D7914yes—
1643C4×D4C22×D7914yes—
1644C4×D4C22×D7914yes—
1645C4×D4C22×D7912yes—
1646#117—794no—
1647#117—792no—
1648#117—794no—
1649#117—794no—
1650#117—794no—
1651#117—792no—
1652#117—792no—
1653#117—794no—
1654#117—794no—
1655#117—794no—
1656#117—794no—
1657#117—794no—
1658#117—794no—
1659#117—794no—
1660#117—794no—
1661#117—794no—
1662#117—794no—
1663#117—794no—
1664#117—794no—
1665#117—794no—
1666#117—794no—
1667#117—794no—
1668#117—794no—
1669#117—794no—
1670#117—794no—
1671#117—794no—
1672#117—794no—
1673#117—794no—
1674#117—794no—
1675#117—794no—
1676#117—794no—
1677#117—794no—
1678#117—794no—
1679#117C22×D7914yes—
1680#117C22×D7912yes—
1681#117C22×D7914yes—
1682C2×C4⋊C4—791no—
1683C2×C4⋊C4—791no—
1684C2×C4⋊C4—791no—
1685C2×C4⋊C4—791no—
1686C2×C4⋊C4—791no—
1687C2×C4⋊C4—791no—
1688C2×C4⋊C4—791no—
1689C2×C4⋊C4—791no—
1690C2×C4⋊C4—792no—
1691C2×C4⋊C4—792no—
1692C2×C4⋊C4—792no—
1693C2×C4⋊C4—792no—
1694C2×C4⋊C4—794no—
1695C2×C4⋊C4—794no—
1696C2×C4⋊C4—791no—
1697C2×C4⋊C4—792no—
1698C2×C4⋊C4—792no—
1699C2×C4⋊C4—794no—
1700C2×C4⋊C4—794no—
1701C2×C4⋊C4—792no—
1702C2×C4⋊C4—791no—
1703C2×C4⋊C4—792no—
1704C2×C4⋊C4—791no—
1705C2×C4⋊C4—792no—
1706C2×C4⋊C4—792no—
1707C2×C4⋊C4—792no—
1708C2×C4⋊C4—794no—
1709C2×C4⋊C4—794no—
1710C2×C4⋊C4—794no—
1711C2×C4⋊C4—794no—
1712C2×C4⋊C4C22×D7911yescharacteristic
1713C2×C4⋊C4C22×D7911yescharacteristic
1714C2×C4⋊C4C22×D7911yescharacteristic
1715C2×C4⋊C4C22×D7912yes—
1716C2×C22⋊C4—791no—
1717C2×C22⋊C4—791no—
1718C2×C22⋊C4—792no—
1719C2×C22⋊C4—794no—
1720C2×C22⋊C4—792no—
1721C2×C22⋊C4—791no—
1722C2×C22⋊C4—791no—
1723C2×C22⋊C4—792no—
1724C2×C22⋊C4—792no—
1725C2×C22⋊C4—794no—
1726C2×C22⋊C4—794no—
1727C2×C22⋊C4C22×D7911yescharacteristic
1728C2×C22⋊C4C22×D7911yescharacteristic
1729C2×C22⋊C4C22×D7912yes—
1730C2×C22⋊C4C22×D7914yes—
1731C2×C22⋊C4C22×D7912yes—
1732C2×C42—791no—
1733C2×C42—791no—
1734C2×C42—791no—
1735C2×C42—791no—
1736C2×C42—791no—
1737C2×C42—792no—
1738C2×C42—792no—
1739C2×C42—794no—
1740C2×C42—794no—
1741C2×C42—794no—
1742C2×C42—794no—
1743C2×C42C22×D7911yescharacteristic
1744C24—792no—
1745C24—791no—
1746C24C23×D7912yes—
1747C24C23×D7911yescharacteristic
1748C24C23×D7911yescharacteristic
1749#41—82no—
1750#41—6322no—
1751#41—6324no—
1752#41—6322no—
1753#41—6324no—
1754#41—6322no—
1755#41—15816no—
1756#41—15816no—
1757#41—15816no—
1758#41—15816no—
1759#41—15816no—
1760#41—15816no—
1761C2×Q8—81no—
1762C2×Q8—792no—
1763C2×Q8—792no—
1764C2×Q8—794no—
1765C2×Q8—794no—
1766C2×Q8—794no—
1767C2×Q8—794no—
1768C2×Q8—794no—
1769C2×Q8—6321no—
1770C2×Q8—6322no—
1771C2×Q8—1588no—
1772C2×Q8—1584no—
1773C2×Q8C23×D7912yes—
1774C2×Q8C23×D7912yes—
1775C2×D4—24no—
1776C2×D4—28no—
1777C2×D4—81no—
1778C2×D4—794no—
1779C2×D4—794no—
1780C2×D4—794no—
1781C2×D4—794no—
1782C2×D4—794no—
1783C2×D4—794no—
1784C2×D4—792no—
1785C2×D4—794no—
1786C2×D4—794no—
1787C2×D4—792no—
1788C2×D4—794no—
1789C2×D4—794no—
1790C2×D4—794no—
1791C2×D4—794no—
1792C2×D4—794no—
1793C2×D4—792no—
1794C2×D4—792no—
1795C2×D4—6321no—
1796C2×D4—6322no—
1797C2×D4—1588no—
1798C2×D4—1584no—
1799C2×D4—1584no—
1800C2×D4—1588no—
1801C2×D4C23×D7912yes—
1802C2×D4C23×D7914yes—
1803C2×D4C23×D7912yes—
1804C2×D4C23×D7914yes—
1805C2×D4C23×D7914yes—
1806C2×D4C23×D7914yes—
1807C2×D4C23×D7912yes—
1808C2×D4C23×D7912yes—
1809C22×C4—81no—
1810C22×C4—81no—
1811C22×C4—791no—
1812C22×C4—792no—
1813C22×C4—791no—
1814C22×C4—792no—
1815C22×C4—791no—
1816C22×C4—791no—
1817C22×C4—794no—
1818C22×C4—794no—
1819C22×C4—792no—
1820C22×C4—792no—
1821C22×C4—794no—
1822C22×C4—794no—
1823C22×C4—794no—
1824C22×C4—794no—
1825C22×C4—794no—
1826C22×C4—792no—
1827C22×C4—792no—
1828C22×C4—794no—
1829C22×C4—798no—
1830C22×C4—792no—
1831C22×C4—791no—
1832C22×C4—791no—
1833C22×C4—792no—
1834C22×C4—791no—
1835C22×C4—794no—
1836C22×C4—792no—
1837C22×C4—794no—
1838C22×C4—794no—
1839C22×C4—794no—
1840C22×C4—794no—
1841C22×C4—794no—
1842C22×C4—6321no—
1843C22×C4—6321no—
1844C22×C4—6321no—
1845C22×C4—6321no—
1846C22×C4—1588no—
1847C22×C4—1584no—
1848C22×C4—1588no—
1849C22×C4—1584no—
1850C22×C4C23×D7911yescharacteristic
1851C22×C4C23×D7912yes—
1852C22×C4C23×D7911yescharacteristic
1853C22×C4C23×D7912yes—
1854C22×C4C23×D7911yescharacteristic
1855C22×C4C23×D7912yes—
1856C22×C4C23×D7911yescharacteristic
1857C22×C4C23×D7914yes—
1858C22×C4C23×D7914yes—
1859C22×C4C23×D7911yescharacteristic
1860C22×C4C23×D7911yescharacteristic
1861C22×C4C23×D7911yescharacteristic
1862C22×C4C23×D7911yescharacteristic
1863C22×C4C23×D7911yescharacteristic
1864C22×C4C23×D7912yes—
1865C22×C4C23×D7912yes—
1866C4⋊C4—794no—
1867C4⋊C4—792no—
1868C4⋊C4—792no—
1869C4⋊C4—792no—
1870C4⋊C4—792no—
1871C4⋊C4—794no—
1872C4⋊C4—794no—
1873C4⋊C4—794no—
1874C4⋊C4—792no—
1875C4⋊C4—792no—
1876C4⋊C4—792no—
1877C4⋊C4—792no—
1878C4⋊C4—792no—
1879C4⋊C4—792no—
1880C4⋊C4—794no—
1881C4⋊C4—794no—
1882C4⋊C4—794no—
1883C4⋊C4—794no—
1884C4⋊C4—794no—
1885C4⋊C4—794no—
1886C4⋊C4—794no—
1887C4⋊C4—794no—
1888C4⋊C4—794no—
1889C4⋊C4—794no—
1890C4⋊C4—794no—
1891C4⋊C4—794no—
1892C4⋊C4—794no—
1893C4⋊C4—794no—
1894C4⋊C4—794no—
1895C4⋊C4—794no—
1896C4⋊C4—794no—
1897C4⋊C4—794no—
1898C4⋊C4—794no—
1899C4⋊C4—794no—
1900C4⋊C4—794no—
1901C4⋊C4—794no—
1902C4⋊C4—792no—
1903C4⋊C4—792no—
1904C4⋊C4—794no—
1905C4⋊C4—794no—
1906C4⋊C4—792no—
1907C4⋊C4—792no—
1908C4⋊C4—794no—
1909C4⋊C4—794no—
1910C4⋊C4C23×D7912yes—
1911C4⋊C4C23×D7912yes—
1912C4⋊C4C23×D7914yes—
1913C4⋊C4C23×D7914yes—
1914C4⋊C4C23×D7912yes—
1915C4⋊C4C23×D7914yes—
1916C4⋊C4C23×D7912yes—
1917C4⋊C4C23×D7914yes—
1918C4⋊C4C23×D7912yes—
1919C4⋊C4C23×D7912yes—
1920C4⋊C4C23×D7914yes—
1921C4⋊C4C23×D7914yes—
1922C22⋊C4—792no—
1923C22⋊C4—794no—
1924C22⋊C4—792no—
1925C22⋊C4—794no—
1926C22⋊C4—794no—
1927C22⋊C4—794no—
1928C22⋊C4—794no—
1929C22⋊C4—794no—
1930C22⋊C4—794no—
1931C22⋊C4—794no—
1932C22⋊C4—794no—
1933C22⋊C4—794no—
1934C22⋊C4—794no—
1935C22⋊C4—794no—
1936C22⋊C4—794no—
1937C22⋊C4—792no—
1938C22⋊C4—792no—
1939C22⋊C4—794no—
1940C22⋊C4—794no—
1941C22⋊C4—794no—
1942C22⋊C4—794no—
1943C22⋊C4—794no—
1944C22⋊C4—794no—
1945C22⋊C4—794no—
1946C22⋊C4—794no—
1947C22⋊C4—794no—
1948C22⋊C4—794no—
1949C22⋊C4—794no—
1950C22⋊C4—794no—
1951C22⋊C4—794no—
1952C22⋊C4—794no—
1953C22⋊C4—794no—
1954C22⋊C4C23×D7912yes—
1955C22⋊C4C23×D7914yes—
1956C22⋊C4C23×D7912yes—
1957C22⋊C4C23×D7914yes—
1958C22⋊C4C23×D7912yes—
1959C22⋊C4C23×D7914yes—
1960C22⋊C4C23×D7914yes—
1961C22⋊C4C23×D7912yes—
1962C22⋊C4C23×D7914yes—
1963C22⋊C4C23×D7914yes—
1964C22⋊C4C23×D7914yes—
1965C22⋊C4C23×D7914yes—
1966C22⋊C4C23×D7914yes—
1967C22⋊C4C23×D7914yes—
1968C42—794no—
1969C42—794no—
1970C42—794no—
1971C42—794no—
1972C42—794no—
1973C42—794no—
1974C42—794no—
1975C42—792no—
1976C42—792no—
1977C42—794no—
1978C42—794no—
1979C42—794no—
1980C42—794no—
1981C42—794no—
1982C42—794no—
1983C42—794no—
1984C42C23×D7914yes—
1985C42C23×D7914yes—
1986C42C23×D7912yes—
1987C42C23×D7912yes—
1988C23—22no—
1989C23—24no—
1990C23—41no—
1991C23—41no—
1992C23—41no—
1993C23—41no—
1994C23—42no—
1995C23—42no—
1996C23—3161no—
1997C23—3161no—
1998C23—3162no—
1999C23—3162no—
2000C23—792no—
2001C23—794no—
2002C23—1582no—
2003C23—1584no—
2004C23#41×D7914yes—
2005C23C24×D7912yes—
2006C23C24×D7914yes—
2007C23C24×D7911yescharacteristic
2008C23C24×D7911yescharacteristic
2009C23C24×D7911yescharacteristic
2010Q8—42no—
2011Q8—42no—
2012Q8—3162no—
2013Q8—3162no—
2014Q8—3164no—
2015Q8—3164no—
2016Q8—1588no—
2017Q8—1588no—
2018Q8—1588no—
2019D4—24no—
2020D4—28no—
2021D4—24no—
2022D4—28no—
2023D4—42no—
2024D4—42no—
2025D4—44no—
2026D4—44no—
2027D4—3162no—
2028D4—3162no—
2029D4—3164no—
2030D4—3164no—
2031D4—3164no—
2032D4—3164no—
2033D4—3164no—
2034D4—3164no—
2035D4—3164no—
2036D4—3164no—
2037D4—1588no—
2038D4—1588no—
2039D4—1588no—
2040D4—1584no—
2041D4—1588no—
2042D4—1584no—
2043D4—1588no—
2044C2×C4—24no—
2045C2×C4—22no—
2046C2×C4—41no—
2047C2×C4—41no—
2048C2×C4—41no—
2049C2×C4—41no—
2050C2×C4—41no—
2051C2×C4—41no—
2052C2×C4—41no—
2053C2×C4—42no—
2054C2×C4—42no—
2055C2×C4—41no—
2056C2×C4—44no—
2057C2×C4—42no—
2058C2×C4—42no—
2059C2×C4—44no—
2060C2×C4—3164no—
2061C2×C4—3162no—
2062C2×C4—3162no—
2063C2×C4—3164no—
2064C2×C4—3164no—
2065C2×C4—3164no—
2066C2×C4—3164no—
2067C2×C4—3161no—
2068C2×C4—3161no—
2069C2×C4—3161no—
2070C2×C4—3162no—
2071C2×C4—3162no—
2072C2×C4—3164no—
2073C2×C4—3162no—
2074C2×C4—3164no—
2075C2×C4—3161no—
2076C2×C4—3164no—
2077C2×C4—3162no—
2078C2×C4—792no—
2079C2×C4—792no—
2080C2×C4—798no—
2081C2×C4—794no—
2082C2×C4—794no—
2083C2×C4—798no—
2084C2×C4—792no—
2085C2×C4—792no—
2086C2×C4—794no—
2087C2×C4—794no—
2088C2×C4—792no—
2089C2×C4—794no—
2090C2×C4—792no—
2091C2×C4—792no—
2092C2×C4—1588no—
2093C2×C4—1588no—
2094C2×C4—1588no—
2095C2×C4—1588no—
2096C2×C4—1588no—
2097C2×C4—1588no—
2098C2×C4—1584no—
2099C2×C4—1582no—
2100C2×C4C24×D7912yes—
2101C2×C4C24×D7912yes—
2102C2×C4C24×D7914yes—
2103C2×C4C24×D7914yes—
2104C2×C4C24×D7914yes—
2105C2×C4C24×D7912yes—
2106C2×C4C24×D7911yescharacteristic
2107C2×C4C24×D7911yescharacteristic
2108C2×C4C24×D7911yescharacteristic
2109C2×C4C24×D7911yescharacteristic
2110C22—21no—
2111C22—21no—
2112C22—21no—
2113C22—21no—
2114C22—21no—
2115C22—21no—
2116C22—22no—
2117C22—24no—
2118C22—22no—
2119C22—24no—
2120C22—24no—
2121C22—22no—
2122C22—44no—
2123C22—44no—
2124C22—84no—
2125C22—3164no—
2126C22—6324no—
2127C22—1582no—
2128C22—1584no—
2129C22—1582no—
2130C22—1584no—
2131C22—1584no—
2132C22—1582no—
2133C22C2×#41×D7912yes—
2134C22C2×#41×D7912yes—
2135C22C2×#41×D7912yes—
2136C22C25×D7911yescharacteristic
2137C4—24no—
2138C4—22no—
2139C4—22no—
2140C4—21no—
2141C4—21no—
2142C4—21no—
2143C4—21no—
2144C4—24no—
2145C4—22no—
2146C4—24no—
2147C4—794no—
2148C4—794no—
2149C4—1584no—
2150C4—1582no—
2151C4—1582no—
2152C4—1582no—
2153C4—1582no—
2154C4—1584no—
2155C4—1582no—
2156C4—1584no—
2157C2—22no—
2158C2—22no—
2159C2—22no—
2160C2—42no—
2161C2—44no—
2162C2—3162no—
2163C2—3164no—
2164C2C22×#41×D7911yescharacteristic
2165C2#2377821011yescharacteristic
2166C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3505C2
hypercenter#3505D79
hypocenterC79#62856
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3505

Complements

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

NH ≅ G/Ntype
1. #23777316C2semidirect
2. #23777316C2semidirect
3. #23777306C2semidirect
4. #23777302C2semidirect
5. #23777241C2semidirect
6. #23777239C2semidirect
7. #23777237C2semidirect
8. #23777234C2semidirect
9. #23777230C2semidirect
10. #23777143C2semidirect
11. #23777139C2semidirect
12. #23777126C2semidirect
13. #23777122C2semidirect
14. #23777115C2semidirect
15. #23777112C2semidirect
16. #23777105C2semidirect
17. #23777101C2semidirect
18. #23776830C2semidirect
19. #23776829C2semidirect
20. #23776819C2semidirect
21. #23776818C2semidirect
22. C2×#19099192C2semidirect
23. #23776726C2semidirect
24. C2×#19099140C2semidirect
25. #23776598C2semidirect
26. C2×#19099042C2semidirect
27. C79×#3505C2semidirect
30. #19099285C22semidirect
31. #19099282C22semidirect
32. #19099280C22semidirect
33. #19099280C22semidirect
34. #19099277C22semidirect
35. #19099276C22semidirect
36. #19099275C22semidirect
37. #19099275C22semidirect
38. #19099272C22semidirect
39. #19099269C22semidirect
40. #19099267C22semidirect
41. #19099267C22semidirect
42. #19099265C22semidirect
43. #19099265C22semidirect
44. #19099264C22semidirect
45. #19099264C22semidirect
46. #19099262C22semidirect
47. #19099262C22semidirect
48. #19099262C22semidirect
49. #19099262C22semidirect
50. #19099262C22semidirect
51. #19099261C22semidirect
52. #19099261C22semidirect
53. #19099259C22semidirect
54. #19099259C22semidirect
55. #19099258C22semidirect
56. #19099258C22semidirect
57. #19099256C22semidirect
58. #19099256C22semidirect
59. #19099256C22semidirect
60. #19099256C22semidirect
61. #19099256C22semidirect
62. #19099255C22semidirect
63. #19099253C22semidirect
64. #19099250C22semidirect
65. #19099250C22semidirect
66. #19099250C22semidirect
67. #19099249C22semidirect
68. #19099249C22semidirect
69. #19099248C22semidirect
70. #19099246C22semidirect
71. #19099246C22semidirect
72. #19099246C22semidirect
73. #19099245C22semidirect
74. #19099245C22semidirect
75. #19099244C22semidirect
76. #19099242C22semidirect
77. #19099240C22semidirect
78. #19099239C22semidirect
79. #19099239C22semidirect
80. #19099237C22semidirect
81. #19099236C22semidirect
82. #19099224C22semidirect
83. #19099222C22semidirect
84. #19099222C22semidirect
85. #19099219C22semidirect
86. #19099219C22semidirect
87. #19099215C22semidirect
88. #19099212C22semidirect
89. #19099211C22semidirect
90. #19099211C22semidirect
91. #19099209C22semidirect
92. #19099207C22semidirect
93. #19099204C22semidirect
94. #19099203C22semidirect
95. #19099200C22semidirect
96. #19099192C22semidirect
97. #19099192C22semidirect
98. #19099192C22semidirect
99. #19099192C22semidirect
100. #19099192C22semidirect
101. #19099192C22semidirect
102. #19099183C22semidirect
103. #19099183C22semidirect
104. #19099181C22semidirect
105. #19099181C22semidirect
106. #19099179C22semidirect
107. #19099179C22semidirect
108. #19099177C22semidirect
109. #19099177C22semidirect
110. #19099172C22semidirect
111. #19099172C22semidirect
112. #19099170C22semidirect
113. #19099170C22semidirect
114. #19099165C22semidirect
115. #19099165C22semidirect
116. #19099163C22semidirect
117. #19099163C22semidirect
118. #19099162C22semidirect
119. #19099160C22semidirect
120. #19099158C22semidirect
121. #19099157C22semidirect
122. #19099155C22semidirect
123. #19099153C22semidirect
124. #19099151C22semidirect
125. #19099150C22semidirect
126. #19099148C22semidirect
127. #19099146C22semidirect
132. #19099140C22semidirect
133. #19099140C22semidirect
134. #19099140C22semidirect
135. #19099140C22semidirect
137. #19099135C22semidirect
139. #19099128C22semidirect
143. #19099119C22semidirect
144. #19099117C22semidirect
145. #19099116C22semidirect
146. #19099115C22semidirect
147. #19099112C22semidirect
148. #19099110C22semidirect
149. #19099109C22semidirect
150. #19099108C22semidirect
151. #19099108C22semidirect
152. #19099108C22semidirect
153. C2×#14579160C22semidirect
154. C2×#14579159C22semidirect
155. #19099099C22semidirect
156. #19099097C22semidirect
157. #19099096C22semidirect
158. #19099096C22semidirect
159. #19099094C22semidirect
160. #19099093C22semidirect
161. #19099093C22semidirect
162. #19099093C22semidirect
163. #19099091C22semidirect
164. #19099091C22semidirect
165. #19099090C22semidirect
166. #19099090C22semidirect
167. #19099090C22semidirect
168. C2×#14579151C22semidirect
169. C2×#14579151C22semidirect
170. #19099076C22semidirect
171. #19099074C22semidirect
172. #19099073C22semidirect
173. #19099072C22semidirect
175. #19099071C22semidirect
177. #19099069C22semidirect
178. #19099069C22semidirect
180. C2×#14579139C22semidirect
182. C2×#14579138C22semidirect
184. C2×#14579134C22semidirect
186. C2×#14579133C22semidirect
189. #19099042C22semidirect
190. #19099042C22semidirect
191. #19099042C22semidirect
192. #19099042C22semidirect
193. #19099042C22semidirect
194. #19099042C22semidirect
195. #19099040C22semidirect
199. #19099036C22semidirect
200. C4×#11929623C22semidirect
201. C4×#11929623C22semidirect
202. C4×#11929623C22semidirect
203. C4×#11929623C22semidirect
204. C2×C4×Dic158C22semidirect
205. C2×#14579126C22semidirect
208. C2×C4×C22⋊D79C22semidirect
210. C2×(C22⋊D79)⋊C4C22semidirect
211. C2×#14579118C22semidirect
214. C2×#14579117C22semidirect
215. C2×#14579117C22semidirect
216. #117×D79C22semidirect
218. C22×Dic79⋊C4C22semidirect
219. C2×C4⋊C4×D79C22semidirect
220. #553×C79C22semidirect
221. #553×C79C22semidirect
222. #552×C79C22semidirect
223. #551×C79C22semidirect
224. #548×C79C22semidirect
225. #546×C79C22semidirect
226. #539×C79C22semidirect
227. #538×C79C22semidirect
229. #529×C79C22semidirect
230. #525×C79C22semidirect
711. C22×Dic79#41semidirect
1093. #3505D79semidirect
1111. C79#62856semidirect
1146. #553C2×D79semidirect
1147. #553C2×D79semidirect
1161. #552C2×D79semidirect
1169. #551C2×D79semidirect
1175. #548C2×D79semidirect
1185. #546C2×D79semidirect
1213. #539C2×D79semidirect
1219. #538C2×D79semidirect
1261. #529C2×D79semidirect
1273. #525C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237773162
#237773062
#237773022
#237772412
#237772392
#237772372
#237772342
#237772302
#237771432
#237771392
#237771262
#237771222
#237771152
#237771122
#237771052
#237771012
#237768302
#237768292
#237768192
#237768182
C2×#190991922
#237767262
C2×#190991402
#237765982
C2×#190990422
C79×#35052
#6285679