Finite Group Databasebeta

← #35197332

Subgroups — #35197332

Order 20224.

7106 conjugacy classes of subgroups.

The subgroup lattice has 2152 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777465C214yesmaximal, complemented
2#23777455C214yesmaximal, complemented
3#23777446C214yesmaximal, complemented
4#23777438C214yesmaximal, complemented
5#23777375C214yesmaximal, complemented
6#23777367C214yesmaximal, complemented
7#23777337C214yesmaximal, complemented
8#23777327C214yesmaximal, complemented
9#23777256C212yesmaximal, complemented
10#23777235C212yesmaximal, complemented
11#23777230C212yesmaximal, complemented
12#23777200C211yesmaximal, characteristic, complemented
13#23777161C211yesmaximal, characteristic, complemented
14#23777105C212yesmaximal, complemented
15#23777098C211yesmaximal, characteristic, complemented
16#23777094C212yesmaximal, complemented
17#23777038C212yesmaximal, complemented
18#23776829C212yesmaximal, complemented
19#23776812C211yesmaximal, characteristic, complemented
20#23776810C212yesmaximal, complemented
21#23776806C211yesmaximal, characteristic, complemented
22#23776786C212yesmaximal, complemented
23C2×#19099157C212yesmaximal, complemented
24#539×D79C212yesmaximal, complemented
25#23776604C212yesmaximal, complemented
26C2×#19099043C211yesmaximal, characteristic, complemented
27C79×#3491C211yesmaximal, characteristic, complemented
28C2×#14579206C2212yes—
29C22×#11929624C2211yescharacteristic
30#19099296C2212yescomplemented
31#19099295C2212yescomplemented
32#19099290C2212yescomplemented
33#19099289C2212yescomplemented
34#19099285C2212yescomplemented
35#19099282C2212yescomplemented
36#19099281C2214yescomplemented
37#19099280C2214yescomplemented
38#19099272C2212yescomplemented
39#19099271C2214yescomplemented
40#19099269C2214yescomplemented
41#19099269C2212yescomplemented
42#19099267C2214yescomplemented
43#19099267C2214yescomplemented
44#19099267C2214yescomplemented
45#19099266C2212yescomplemented
46#19099264C2214yescomplemented
47#19099264C2214yescomplemented
48#19099263C2212yescomplemented
49#19099262C2214yescomplemented
50#19099262C2214yescomplemented
51#19099259C2214yescomplemented
52#19099258C2214yescomplemented
53#19099257C2214yescomplemented
54#19099254C2212yescomplemented
55#19099251C2214yescomplemented
56#19099251C2212yescomplemented
57#19099249C2214yescomplemented
58#19099249C2214yescomplemented
59#19099249C2214yescomplemented
60#19099247C2214yescomplemented
61#19099246C2214yescomplemented
62#19099246C2214yescomplemented
63#19099246C2214yescomplemented
64#19099246C2214yescomplemented
65#19099245C2214yescomplemented
66#19099245C2214yescomplemented
67#19099241C2214yescomplemented
68#19099240C2214yescomplemented
69#19099239C2214yescomplemented
70#19099238C2214yescomplemented
71#19099238C2214yescomplemented
72#19099237C2214yescomplemented
73#19099237C2214yescomplemented
74#19099237C2214yescomplemented
75#19099237C2214yescomplemented
76#19099236C2214yescomplemented
77#19099226C2214yescomplemented
78#19099225C2212yescomplemented
79#19099222C2214yescomplemented
80#19099221C2212yescomplemented
81#19099215C2214yescomplemented
82#19099214C2214yescomplemented
83#19099214C2214yescomplemented
84#19099211C2214yescomplemented
85#19099211C2214yescomplemented
86#19099211C2214yescomplemented
87#19099211C2214yescomplemented
88#19099208C2212yescomplemented
89#19099206C2212yescomplemented
90#19099205C2214yescomplemented
91#19099205C2214yescomplemented
92#19099205C2214yescomplemented
93#19099203C2214yescomplemented
94#19099203C2214yescomplemented
95#19099203C2214yescomplemented
96#19099200C2214yescomplemented
97#19099195C2214yescomplemented
98#19099192C2212yescomplemented
99#19099189C2211yescharacteristic, complemented
100#19099188C2212yescomplemented
101#19099183C2214yescomplemented
102#19099179C2214yescomplemented
103#19099179C2214yescomplemented
104#19099177C2214yescomplemented
105#19099172C2214yescomplemented
106#19099172C2214yescomplemented
107#19099170C2214yescomplemented
108#19099165C2214yescomplemented
109#19099162C2212yescomplemented
110#19099162C2214yescomplemented
111#19099161C2214yescomplemented
112#19099161C2214yescomplemented
113#19099160C2212yescomplemented
114#19099160C2212yescomplemented
115#19099159C2214yescomplemented
116#19099158C2212yescomplemented
117#19099157C2214yescomplemented
118#19099157C2214yescomplemented
119#19099157C2214yescomplemented
120#19099157C2214yescomplemented
121#19099157C2214yescomplemented
122#19099157C2214yescomplemented
123#19099157C2214yescomplemented
124#19099157C2214yescomplemented
125#19099157C2214yescomplemented
126#19099156C2214yescomplemented
127#19099155C2214yescomplemented
128#19099154C2214yescomplemented
129#19099154C2214yescomplemented
130#19099153C2212yescomplemented
131#19099153C2214yescomplemented
132#19099152C2214yescomplemented
133#19099150C2212yescomplemented
134#19099148C2214yescomplemented
135#19099147C2214yescomplemented
136#19099146C2214yescomplemented
137#19099140C2212yes—
138#19099135C2214yescomplemented
139#19099125C2211yescharacteristic
140#19099125C2212yescomplemented
141#19099124C2214yescomplemented
142#19099122C2212yescomplemented
143#19099121C2212yes—
144#19099117C2214yescomplemented
145#19099116C2214yescomplemented
146#19099115C2212yescomplemented
147#19099108C2212yes—
148#19099100C2214yescomplemented
149#19099099C2214yescomplemented
150#19099099C2212yescomplemented
151#19099099C2214yescomplemented
152#19099098C2214yescomplemented
153#19099097C2212yescomplemented
154#19099097C2212yescomplemented
155#19099096C2214yescomplemented
156#19099094C2212yescomplemented
157#19099093C2214yescomplemented
158#19099093C2214yescomplemented
159#19099091C2214yescomplemented
160#19099091C2214yescomplemented
161#19099090C2214yescomplemented
162#19099090C2214yescomplemented
163C2×#14579156C2212yescomplemented
164C2×#14579154C2212yescomplemented
165#126×D79C2214yescomplemented
166C2×#14579152C2212yescomplemented
167C2×#14579151C2212yescomplemented
168#125×D79C2214yescomplemented
169#19099076C2214yescomplemented
170#19099076C2212yescomplemented
171#19099075C2214yescomplemented
172#19099073C2212yescomplemented
173#19099072C2214yescomplemented
174#19099072C2214yescomplemented
175#19099071C2214yescomplemented
176#19099069C2214yescomplemented
177C2×#14579145C2212yescomplemented
178C2×#14579144C2212yescomplemented
179C2×#14579143C2212yescomplemented
180#123×D79C2214yescomplemented
181#123×D79C2214yescomplemented
182C2×#14579141C2212yescomplemented
183C2×#14579138C2212yescomplemented
184C2×#14579138C2212yescomplemented
185C22⋊Q8×D79C2214yescomplemented
186C22⋊Q8×D79C2212yescomplemented
187C2×#14579133C2212yes—
188#121×D79C2212yes—
189#19099043C2214yescomplemented
190#19099043C2214yescomplemented
191#19099043C2214yescomplemented
192#19099043C2214yescomplemented
193#19099043C2214yescomplemented
194#19099042C2214yescomplemented
195#19099042C2214yescomplemented
196#19099036C2212yes—
197#19099036C2214yescomplemented
198#19099036C2212yescomplemented
199#19099035C2214yescomplemented
200#19099035C2214yescomplemented
201#19099031C2214yescomplemented
202C4×#11929623C2214yescomplemented
203C4×#11929623C2214yescomplemented
204C2×C4×Dic158C2211yescharacteristic, complemented
205C2×C4×Dic158C2211yescharacteristic, complemented
206C2×C4×D316C2211yescharacteristic, complemented
207C2×C4×D316C2211yescharacteristic, complemented
208C2×D4×Dic79C2212yescomplemented
209C2×(C22⋊D79)⋊C4C2211yescharacteristic
210C2×(C22⋊D79)⋊C4C2211yescharacteristic
211C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
212C2×(C22⋊D79)⋊C4C2212yescomplemented
213C2×(C22⋊D79)⋊C4C2214yescomplemented
214C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
215C4×D4×D79C2214yescomplemented
216C4×D4×D79C2214yescomplemented
217C2×#14579119C2211yescharacteristic, complemented
218C2×#14579119C2211yescharacteristic, complemented
219C22×C4⋊Dic79C2211yescharacteristic, complemented
220C2×C4⋊C4×D79C2211yescharacteristic, complemented
221C2×C4⋊C4×D79C2211yescharacteristic, complemented
222#552×C79C2214yescomplemented
223#552×C79C2214yescomplemented
224#551×C79C2214yescomplemented
225#551×C79C2214yescomplemented
226#543×C79C2211yescharacteristic, complemented
227#539×C79C2212yescomplemented
228#539×C79C2212yescomplemented
229#534×C79C2211yescharacteristic
230#529×C79C2212yescomplemented
231#529×C79C2212yescomplemented
232C2×#123×C79C2212yescomplemented
233#518×C79C2212yescomplemented
234C2×#117×C79C2211yescharacteristic, complemented
235#14579206—216no—
236C2×#11929625C2312yes—
237C2×#11929624—28no—
238C2×#11929624C2314yes—
239C2×#11929624C2314yes—
240C2×#11929624C2314yes—
241C2×#11929624C2314yes—
242C2×#11929623C2314yes—
243C2×#11929623C2314yes—
244C2×#11929623C2312yes—
245C22×Dic158C2311yescharacteristic
246C22×Dic158C2312yes—
247C2×Q8×D79C2312yes—
248C22×D316C2311yescharacteristic
249C22×C22⋊D79C2314yes—
250C22×C22⋊D79C2312yes—
251C22×C22⋊D79C2311yescharacteristic
252C22×C22⋊D79C2312yes—
253C22×C22⋊D79C2311yescharacteristic
254C2×D4×D79C2314yes—
255C2×D4×D79C2314yes—
256C2×D4×D79C2312yes—
257C23×Dic79C2311yescharacteristic
258C23×Dic79C2311yescharacteristic
259C23×Dic79C2312yes—
260C22×C4×D79C2311yescharacteristic
261C22×C4×D79C2311yescharacteristic
262C22×C4×D79C2311yescharacteristic
263C22×C4×D79C2311yescharacteristic
264C22×C4×D79C2311yescharacteristic
265C22×C4×D79C2311yescharacteristic
266C22×C4×D79C2314yes—
267C22×C4×D79C2312yes—
268#14579160C2314yes—
269#14579160C2312yes—
270#14579160C2314yes—
271#14579160C2312yes—
272#14579160C2314yes—
273#14579159C2314yes—
274#14579159C2312yes—
275#14579157C2312yes—
276#14579156C2314yes—
277#14579156C2314yes—
278#14579156C2314yes—
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#14579155C2314yes—
292#14579154C2314yes—
293#14579154C2314yes—
294#14579154C2314yes—
295#14579154C2314yes—
296#14579154C2314yes—
297#14579154C2314yes—
298#14579154C2314yes—
299#14579154C2314yes—
300#14579153C2312yes—
301#14579153C2314yes—
302#14579153C2312yes—
303#14579152C2314yes—
304#14579152C2314yes—
305#14579152C2314yes—
306#14579152C2314yes—
307#14579152C2314yes—
308#14579152C2312yes—
309#14579152C2312yes—
310#14579151C2314yes—
311#14579151C2314yes—
312#14579151C2314yes—
313#14579151C2314yes—
314#14579151C2314yes—
315#14579151C2314yes—
316#14579151C2314yes—
317#14579151C2314yes—
318#14579151C2314yes—
319#14579151C2314yes—
320#14579151C2314yes—
321#14579151C2314yes—
322#14579150C2314yes—
323#14579150C2312yes—
324#14579149C2314yes—
325#14579149C2312yes—
326#14579149C2312yes—
327#14579148C2312yes—
328#14579147C2314yes—
329#14579147C2314yes—
330#14579147C2314yes—
331#14579147C2314yes—
332#14579147C2314yes—
333#14579147C2314yes—
334#14579146C2314yes—
335#14579146C2314yes—
336#14579146C2314yes—
337#14579146C2314yes—
338#14579146C2314yes—
339#14579146C2314yes—
340#14579146C2314yes—
341#14579146C2314yes—
342#14579146C2314yes—
343#14579146C2314yes—
344#14579146C2314yes—
345#14579146C2314yes—
346#14579145C2314yes—
347#14579145C2314yes—
348#14579145C2314yes—
349#14579145C2314yes—
350#14579145C2314yes—
351#14579145C2314yes—
352#14579145C2314yes—
353#14579145C2314yes—
354#14579144C2314yes—
355#14579144C2314yes—
356#14579144C2314yes—
357#14579144C2314yes—
358#14579144C2314yes—
359#14579144C2314yes—
360#14579144C2314yes—
361#14579143C2314yes—
362#14579143C2314yes—
363#14579143C2314yes—
364#14579143C2314yes—
365#14579143C2314yes—
366#14579143C2314yes—
367#14579143C2314yes—
368#14579143C2314yes—
369#14579143C2314yes—
370#14579143C2314yes—
371#14579142C2314yes—
372#14579142C2314yes—
373#14579141C2312yes—
374#14579141C2314yes—
375#14579141C2314yes—
376#14579141C2314yes—
377#14579141C2314yes—
378#14579141C2314yes—
379#14579141C2312yes—
380#14579140C2312yes—
381#14579140C2314yes—
382#14579140C2312yes—
383#14579139C2314yes—
384#14579139C2314yes—
385#14579139C2314yes—
386#14579139C2314yes—
387#14579139C2314yes—
388#14579139C2314yes—
389#14579139C2314yes—
390#14579139C2314yes—
391#14579139C2314yes—
392#14579139C2314yes—
393#14579139C2314yes—
394#14579139C2314yes—
395#14579138C2314yes—
396#14579138C2314yes—
397#14579138C2314yes—
398#14579138C2314yes—
399#14579138C2314yes—
400#14579138C2314yes—
401#14579138C2314yes—
402#14579138C2314yes—
403#14579138C2314yes—
404#14579138C2314yes—
405#14579138C2314yes—
406#14579138C2314yes—
407#14579138C2314yes—
408#14579138C2314yes—
409#14579137C2314yes—
410#14579137C2312yes—
411#14579137C2314yes—
412#14579137C2312yes—
413#14579136C2314yes—
414#14579136C2314yes—
415#14579136C2312yes—
416#14579136C2312yes—
417#14579136C2314yes—
418#14579135C2312yes—
419#14579135C2314yes—
420#14579135C2312yes—
421#14579135C2314yes—
422#14579135C2314yes—
423#14579134C2314yes—
424#14579134C2314yes—
425#14579134C2314yes—
426#14579134C2314yes—
427#14579134C2314yes—
428#14579134C2314yes—
429#14579134C2314yes—
430#14579134C2314yes—
431#14579133C2314yes—
432#14579133C2314yes—
433#14579133C2314yes—
434#14579133C2314yes—
435#14579133C2314yes—
436#14579133C2314yes—
437#14579133C2314yes—
438#14579133C2314yes—
439#14579132C2312yes—
440#14579132C2312yes—
441#14579131C2314yes—
442#14579131C2314yes—
443#14579131C2314yes—
444#14579131C2314yes—
445#14579131C2314yes—
446#14579131C2314yes—
447#14579130C2314yes—
448#14579129C2314yes—
449#14579129C2314yes—
450Q8×Dic79C2312yes—
451Q8×Dic79C2312yes—
452C4×Dic158C2314yes—
453C4×Dic158C2314yes—
454C4×Dic158C2314yes—
455C4×Dic158C2312yes—
456C4×Dic158C2314yes—
457C4×Dic158C2312yes—
458C4×Dic158C2312yes—
459C4×Dic158C2312yes—
460C4×Dic158C2314yes—
461C4×Dic158C2312yes—
462C4×Dic158C2312yes—
463#14579126C2314yes—
464#14579126C2314yes—
465#14579126C2312yes—
466#14579126C2314yes—
467#14579126C2312yes—
468C4×D316C2314yes—
469C4×D316C2314yes—
470C4×D316C2314yes—
471C4×D316C2312yes—
472C4×D316C2312yes—
473C4×D316C2312yes—
474C4×D316C2312yes—
475C4×D316C2312yes—
476C4×D316C2314yes—
477C4×D316C2312yes—
478C4×D316C2314yes—
479D4×Dic79C2314yes—
480D4×Dic79C2314yes—
481D4×Dic79C2314yes—
482D4×Dic79C2314yes—
483D4×Dic79C2312yes—
484D4×Dic79C2312yes—
485#14579123C2314yes—
486#14579123C2312yes—
487#14579123C2314yes—
488#14579123C2314yes—
489#14579123C2312yes—
490#14579123C2314yes—
491#14579123C2314yes—
492C4×C22⋊D79C2314yes—
493C4×C22⋊D79C2314yes—
494C4×C22⋊D79C2314yes—
495C4×C22⋊D79C2314yes—
496C4×C22⋊D79C2314yes—
497C4×C22⋊D79C2314yes—
498C4×C22⋊D79C2314yes—
499C4×C22⋊D79C2314yes—
500C4×C22⋊D79C2314yes—
501C4×C22⋊D79C2314yes—
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(C22⋊D79)⋊C4C2314yes—
517(C22⋊D79)⋊C4C2314yes—
518(C22⋊D79)⋊C4C2314yes—
519(C22⋊D79)⋊C4C2314yes—
520(C22⋊D79)⋊C4C2314yes—
521(C22⋊D79)⋊C4C2314yes—
522(C22⋊D79)⋊C4C2314yes—
523(C22⋊D79)⋊C4C2314yes—
524(C22⋊D79)⋊C4C2314yes—
525(C22⋊D79)⋊C4C2314yes—
526#14579120C2314yes—
527#14579119C2314yes—
528#14579119C2314yes—
529#14579119C2314yes—
530#14579119C2314yes—
531#14579119C2314yes—
532#14579119C2314yes—
533#14579119C2314yes—
534#14579119C2312yes—
535#14579119C2312yes—
536#14579118C2314yes—
537#14579118C2314yes—
538#14579118C2314yes—
539#14579118C2314yes—
540#14579118C2314yes—
541#14579118C2314yes—
542#14579117C2314yes—
543#14579117C2314yes—
544#14579117C2314yes—
545#14579117C2314yes—
546#14579117C2314yes—
547C2×C4⋊Dic79C2311yescharacteristic
548C2×C4⋊Dic79C2311yescharacteristic
549C2×C4⋊Dic79C2311yescharacteristic
550C2×C4⋊Dic79C2311yescharacteristic
551C2×C4⋊Dic79C2312yes—
552C2×C4⋊Dic79C2312yes—
553C2×C4⋊Dic79C2312yes—
554C2×C4⋊Dic79C2312yes—
555C2×C4⋊Dic79C2312yes—
556C2×C4⋊Dic79C2312yes—
557C2×Dic79⋊C4C2311yescharacteristic
558C2×Dic79⋊C4C2311yescharacteristic
559C2×Dic79⋊C4C2311yescharacteristic
560C2×Dic79⋊C4C2312yes—
561C2×Dic79⋊C4C2312yes—
562C2×Dic79⋊C4C2312yes—
563C2×Dic79⋊C4C2312yes—
564C2×Dic79⋊C4C2314yes—
565C2×Dic79⋊C4C2312yes—
566C2×Dic79⋊C4C2312yes—
567C2×Dic79⋊C4C2311yescharacteristic
568C4⋊C4×D79C2314yes—
569C4⋊C4×D79C2314yes—
570C4⋊C4×D79C2314yes—
571C4⋊C4×D79C2312yes—
572C4⋊C4×D79C2314yes—
573C4⋊C4×D79C2314yes—
574C4⋊C4×D79C2314yes—
575C4⋊C4×D79C2314yes—
576C4⋊C4×D79C2314yes—
577C4⋊C4×D79C2314yes—
578C4⋊C4×D79C2312yes—
579C2×C22⋊Dic79C2312yes—
580C2×C22⋊Dic79C2312yes—
581C2×C22⋊Dic79C2312yes—
582C2×(C2×D79)⋊C4C2311yescharacteristic
583C2×(C2×D79)⋊C4C2311yescharacteristic
584C2×(C2×D79)⋊C4C2312yes—
585C2×(C2×D79)⋊C4C2311yescharacteristic
586C2×(C2×D79)⋊C4C2312yes—
587C2×(C2×D79)⋊C4C2312yes—
588C2×(C2×D79)⋊C4C2312yes—
589C2×(C2×D79)⋊C4C2314yes—
590C2×(C2×D79)⋊C4C2311yescharacteristic
591C22⋊C4×D79C2314yes—
592C22⋊C4×D79C2314yes—
593C22⋊C4×D79C2314yes—
594C22⋊C4×D79C2314yes—
595C22⋊C4×D79C2314yes—
596C22⋊C4×D79C2314yes—
597C22⋊C4×D79C2314yes—
598C2×C4×Dic79C2311yescharacteristic
599C2×C4×Dic79C2311yescharacteristic
600C2×C4×Dic79C2311yescharacteristic
601C2×C4×Dic79C2311yescharacteristic
602C2×C4×Dic79C2312yes—
603C2×C4×Dic79C2314yes—
604C2×C4×Dic79C2312yes—
605C42×D79C2314yes—
606C42×D79C2314yes—
607C22×D4×C79C2312yes—
608C23×C4×C79C2311yescharacteristic
609#126×C79C2314yes—
610#126×C79C2314yes—
611#126×C79C2314yes—
612#126×C79C2314yes—
613#125×C79C2312yes—
614#125×C79C2314yes—
615#125×C79C2312yes—
616#125×C79C2314yes—
617#124×C79C2312yes—
618#124×C79C2312yes—
619#123×C79C2314yes—
620#123×C79C2314yes—
621#123×C79C2314yes—
622#123×C79C2314yes—
623#123×C79C2314yes—
624#123×C79C2314yes—
625#123×C79C2314yes—
626C22⋊Q8×C79C2312yes—
627C22⋊Q8×C79C2314yes—
628C22⋊Q8×C79C2314yes—
629C22⋊Q8×C79C2312yes—
630C22⋊Q8×C79C2314yes—
631C22⋊Q8×C79C2314yes—
632#121×C79C2312yes—
633#121×C79C2312yes—
634#120×C79C2314yes—
635C4×Q8×C79C2312yes—
636C4×Q8×C79C2312yes—
637C4×D4×C79C2314yes—
638C4×D4×C79C2314yes—
639C4×D4×C79C2312yes—
640C4×D4×C79C2314yes—
641C4×D4×C79C2314yes—
642C4×D4×C79C2312yes—
643#117×C79C2314yes—
644#117×C79C2314yes—
645#117×C79C2314yes—
646#117×C79C2314yes—
647#117×C79C2314yes—
648C2×C4⋊C4×C79C2311yescharacteristic
649C2×C4⋊C4×C79C2311yescharacteristic
650C2×C4⋊C4×C79C2312yes—
651C2×C4⋊C4×C79C2312yes—
652C2×C22⋊C4×C79C2311yescharacteristic
653C2×C22⋊C4×C79C2312yes—
654C2×C22⋊C4×C79C2312yes—
655C2×C22⋊C4×C79C2314yes—
656C2×C22⋊C4×C79C2311yescharacteristic
657C2×C22⋊C4×C79C2312yes—
658C2×C42×C79C2311yescharacteristic
659C2×C42×C79C2311yescharacteristic
660C23×D79C2414yes—
661C23×D79C2412yes—
662C23×D79C2411yescharacteristic
663C23×D79C2411yescharacteristic
664#11929625—82no—
665#11929624—216no—
666#11929624—216no—
667#11929624—216no—
668#11929624—84no—
669#11929623—216no—
670#11929623—216no—
671#11929623—82no—
672C2×Dic158—24no—
673C2×Dic158—82no—
674C2×Dic158C2412yes—
675C2×Dic158C2412yes—
676C2×Dic158C2414yes—
677C2×Dic158C2414yes—
678C2×Dic158C2412yes—
679C2×Dic158C2414yes—
680C2×Dic158C2412yes—
681Q8×D79—82no—
682C2×D316—24no—
683C2×D316C2412yes—
684C2×D316C2412yes—
685C2×D316C2414yes—
686C2×D316C2414yes—
687C2×D316C2412yes—
688C2×D316C2412yes—
689C2×D316C2414yes—
690C2×C22⋊D79—24no—
691C2×C22⋊D79—28no—
692C2×C22⋊D79—216no—
693C2×C22⋊D79—82no—
694C2×C22⋊D79#4118yescomplemented
695C2×C22⋊D79C2414yes—
696C2×C22⋊D79C2414yes—
697C2×C22⋊D79C2414yes—
698C2×C22⋊D79C2414yes—
699C2×C22⋊D79C2414yes—
700C2×C22⋊D79C2414yes—
701C2×C22⋊D79C2414yes—
702C2×C22⋊D79C2414yes—
703C2×C22⋊D79C2414yes—
704C2×C22⋊D79C2414yes—
705D4×D79—216no—
706D4×D79—216no—
707D4×D79—82no—
708C22×Dic79—81no—
709C22×Dic79—81no—
710C22×Dic79—82no—
711C22×Dic79C2411yescharacteristic
712C22×Dic79C2412yes—
713C22×Dic79C2414yes—
714C22×Dic79C2412yes—
715C22×Dic79C2412yes—
716C22×Dic79C2414yes—
717C22×Dic79C2412yes—
718C22×Dic79C2412yes—
719C22×Dic79C2411yescharacteristic
720C22×Dic79C2411yescharacteristic
721C22×Dic79C2411yescharacteristic
722C22×Dic79C2411yescharacteristic
723C22×Dic79C2412yes—
724C22×Dic79C2414yes—
725C22×Dic79C2412yes—
726C22×Dic79C2411yescharacteristic
727C2×C4×D79—24no—
728C2×C4×D79—24no—
729C2×C4×D79—81no—
730C2×C4×D79—81no—
731C2×C4×D79—81no—
732C2×C4×D79—81no—
733C2×C4×D79—82no—
734C2×C4×D79—84no—
735C2×C4×D79C2414yes—
736C2×C4×D79C2414yes—
737C2×C4×D79C2414yes—
738C2×C4×D79C2414yes—
739C2×C4×D79C2414yes—
740C2×C4×D79C2412yes—
741C2×C4×D79C2412yes—
742C2×C4×D79C2414yes—
743C2×C4×D79C2414yes—
744C2×C4×D79C2414yes—
745C2×C4×D79C2412yes—
746C2×C4×D79C2414yes—
747C2×C4×D79C2414yes—
748C2×C4×D79C2414yes—
749C2×C4×D79C2414yes—
750C2×C4×D79C2412yes—
751C4⋊Dic79C2412yes—
752C4⋊Dic79C2412yes—
753C4⋊Dic79C2412yes—
754C4⋊Dic79C2412yes—
755C4⋊Dic79C2414yes—
756C4⋊Dic79C2414yes—
757C4⋊Dic79C2414yes—
758C4⋊Dic79C2412yes—
759C4⋊Dic79C2412yes—
760C4⋊Dic79C2414yes—
761C4⋊Dic79C2414yes—
762C4⋊Dic79C2411yescharacteristic
763C4⋊Dic79C2412yes—
764C4⋊Dic79C2411yescharacteristic
765C4⋊Dic79C2412yes—
766C4⋊Dic79C2411yescharacteristic
767C4⋊Dic79C2411yescharacteristic
768C4⋊Dic79C2414yes—
769C4⋊Dic79C2412yes—
770C4⋊Dic79C2412yes—
771Dic79⋊C4C2412yes—
772Dic79⋊C4C2412yes—
773Dic79⋊C4C2414yes—
774Dic79⋊C4C2414yes—
775Dic79⋊C4C2412yes—
776Dic79⋊C4C2412yes—
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—
790Dic79⋊C4C2414yes—
791Dic79⋊C4C2414yes—
792Dic79⋊C4C2414yes—
793Dic79⋊C4C2414yes—
794Dic79⋊C4C2414yes—
795Dic79⋊C4C2414yes—
796Dic79⋊C4C2414yes—
797C22⋊Dic79C2414yes—
798C22⋊Dic79C2414yes—
799C22⋊Dic79C2414yes—
800C22⋊Dic79C2414yes—
801C22⋊Dic79C2414yes—
802C22⋊Dic79C2414yes—
803C22⋊Dic79C2414yes—
804C22⋊Dic79C2414yes—
805(C2×D79)⋊C4C2412yes—
806(C2×D79)⋊C4C2414yes—
807(C2×D79)⋊C4C2414yes—
808(C2×D79)⋊C4C2414yes—
809(C2×D79)⋊C4C2414yes—
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)⋊C4C2412yes—
818(C2×D79)⋊C4C2414yes—
819(C2×D79)⋊C4C2414yes—
820(C2×D79)⋊C4C2414yes—
821(C2×D79)⋊C4C2414yes—
822(C2×D79)⋊C4C2414yes—
823(C2×D79)⋊C4C2414yes—
824(C2×D79)⋊C4C2412yes—
825(C2×D79)⋊C4C2412yes—
826(C2×D79)⋊C4C2414yes—
827(C2×D79)⋊C4C2414yes—
828(C2×D79)⋊C4C2414yes—
829(C2×D79)⋊C4C2414yes—
830(C2×D79)⋊C4C2414yes—
831C4×Dic79C2414yes—
832C4×Dic79C2414yes—
833C4×Dic79C2414yes—
834C4×Dic79C2414yes—
835C4×Dic79C2414yes—
836C4×Dic79C2412yes—
837C4×Dic79C2414yes—
838C4×Dic79C2414yes—
839C4×Dic79C2414yes—
840C4×Dic79C2414yes—
841C4×Dic79C2414yes—
842C4×Dic79C2412yes—
843C4×Dic79C2412yes—
844C4×Dic79C2412yes—
845C24×C79C2412yes—
846C24×C79C2411yescharacteristic
847C2×Q8×C79C2412yes—
848C2×Q8×C79C2412yes—
849C2×D4×C79—28no—
850C2×D4×C79C2414yes—
851C2×D4×C79C2414yes—
852C2×D4×C79C2412yes—
853C2×D4×C79C2412yes—
854C22×C4×C79—24no—
855C22×C4×C79C2411yescharacteristic
856C22×C4×C79C2412yes—
857C22×C4×C79C2412yes—
858C22×C4×C79C2412yes—
859C22×C4×C79C2411yescharacteristic
860C22×C4×C79C2412yes—
861C22×C4×C79C2414yes—
862C22×C4×C79C2411yescharacteristic
863C22×C4×C79C2411yescharacteristic
864C22×C4×C79C2411yescharacteristic
865C22×C4×C79C2411yescharacteristic
866C22×C4×C79C2412yes—
867C22×C4×C79C2414yes—
868C4⋊C4×C79C2414yes—
869C4⋊C4×C79C2414yes—
870C4⋊C4×C79C2414yes—
871C4⋊C4×C79C2414yes—
872C4⋊C4×C79C2414yes—
873C4⋊C4×C79C2414yes—
874C4⋊C4×C79C2414yes—
875C4⋊C4×C79C2414yes—
876C4⋊C4×C79C2414yes—
877C4⋊C4×C79C2414yes—
878C4⋊C4×C79C2412yes—
879C4⋊C4×C79C2412yes—
880C4⋊C4×C79C2412yes—
881C4⋊C4×C79C2412yes—
882C22⋊C4×C79C2414yes—
883C22⋊C4×C79C2414yes—
884C22⋊C4×C79C2414yes—
885C22⋊C4×C79C2414yes—
886C22⋊C4×C79C2414yes—
887C22⋊C4×C79C2414yes—
888C22⋊C4×C79C2414yes—
889C22⋊C4×C79C2414yes—
890C22⋊C4×C79C2414yes—
891C22⋊C4×C79C2414yes—
892C22⋊C4×C79C2414yes—
893C22⋊C4×C79C2414yes—
894C42×C79C2412yes—
895C42×C79C2412yes—
896C42×C79C2412yes—
897C42×C79C2412yes—
898C42×C79C2414yes—
899C42×C79C2414yes—
900C23×C79—24no—
901C23×C79—41no—
902C23×C79—41no—
903C23×C79—42no—
904C23×C79—42no—
905C23×C79C2×#4114yes—
906C23×C79C2514yes—
907C23×C79C2511yescharacteristic
908C23×C79C2512yes—
909C22×D79—22no—
910C22×D79—24no—
911C22×D79—28no—
912C22×D79—41no—
913C22×D79—41no—
914C22×D79—41no—
915C22×D79—41no—
916C22×D79—44no—
917C22×D79—42no—
918C22×D79—44no—
919C22×D79—42no—
920C22×D79C2×#4114yes—
921C22×D79C2514yes—
922C22×D79C2512yes—
923C22×D79C2512yes—
924Q8×C79—42no—
925Q8×C79—42no—
926D4×C79—28no—
927D4×C79—28no—
928D4×C79—42no—
929D4×C79—42no—
930C2×C4×C79—22no—
931C2×C4×C79—22no—
932C2×C4×C79—24no—
933C2×C4×C79—24no—
934C2×C4×C79—24no—
935C2×C4×C79—41no—
936C2×C4×C79—41no—
937C2×C4×C79—42no—
938C2×C4×C79—44no—
939C2×C4×C79—41no—
940C2×C4×C79—44no—
941C2×C4×C79—42no—
942C2×C4×C79—41no—
943C2×C4×C79C2512yes—
944C2×C4×C79C2512yes—
945C2×C4×C79C2514yes—
946C2×C4×C79C2514yes—
947C2×C4×C79C2512yes—
948C2×C4×C79C2514yes—
949C2×C4×C79C2512yes—
950C2×C4×C79C2511yescharacteristic
951C2×C4×C79C2511yescharacteristic
952C2×C4×C79C2512yes—
953C22⋊D79—28no—
954C22⋊D79—28no—
955C22⋊D79—28no—
956C22⋊D79—28no—
957C22⋊D79—28no—
958C22⋊D79—44no—
959C22⋊D79—44no—
960C22⋊D79—44no—
961C22⋊D79—44no—
962C22⋊D79C2×#41116yes—
963C2×Dic79—22no—
964C2×Dic79—24no—
965C2×Dic79—28no—
966C2×Dic79—41no—
967C2×Dic79—41no—
968C2×Dic79—44no—
969C2×Dic79—42no—
970C2×Dic79—41no—
971C2×Dic79—41no—
972C2×Dic79—42no—
973C2×Dic79—42no—
974C2×Dic79—42no—
975C2×Dic79—42no—
976C2×Dic79—44no—
977C2×Dic79—42no—
978C2×Dic79C2×#4114yes—
979C2×Dic79C2511yescharacteristic
980C2×Dic79C2512yes—
981C2×Dic79C2511yescharacteristic
982C2×Dic79C2514yes—
983C2×Dic79C2512yes—
984C2×Dic79C2514yes—
985C2×Dic79C2511yescharacteristic
986C2×Dic79C2514yes—
987C2×Dic79C2512yes—
988C2×Dic79C2511yescharacteristic
989C2×Dic79C2512yes—
990D316—28no—
991D316—24no—
992D316—24no—
993D316—42no—
994D316—44no—
995D316—42no—
996D316—44no—
997C4×D79—28no—
998C4×D79—28no—
999C4×D79—28no—
1000C4×D79—28no—
1001C4×D79—44no—
1002C4×D79—44no—
1003C4×D79—42no—
1004C4×D79—44no—
1005C4×D79—42no—
1006C4×D79—42no—
1007C4×D79—44no—
1008C4×D79—44no—
1009C4×D79—44no—
1010C4×D79—42no—
1011C4×D79—44no—
1012C4×D79—44no—
1013Dic158—24no—
1014Dic158—24no—
1015Dic158—28no—
1016Dic158—44no—
1017Dic158—42no—
1018Dic158—44no—
1019Dic158—42no—
1020C22×C79—21no—
1021C22×C79—22no—
1022C22×C79—21no—
1023C22×C79—22no—
1024C22×C79—24no—
1025C22×C79—24no—
1026C22×C79—24no—
1027C22×C79—44no—
1028C22×C79—84no—
1029C22×C79C22×#4114yes—
1030C22×C79C22×#4112yes—
1031C22×C79C2611yescharacteristic
1032C2×D79—22no—
1033C2×D79—22no—
1034C2×D79—24no—
1035C2×D79—22no—
1036C2×D79—24no—
1037C2×D79—22no—
1038C2×D79—22no—
1039C2×D79—24no—
1040C2×D79—44no—
1041C2×D79—44no—
1042C2×D79—88no—
1043C2×D79—84no—
1044C2×D79C22×#4114yes—
1045C4×C79—21no—
1046C4×C79—21no—
1047C4×C79—22no—
1048C4×C79—24no—
1049C4×C79—22no—
1050C4×C79—24no—
1051C4×C79—22no—
1052C4×C79—22no—
1053C4×C79—24no—
1054C4×C79—22no—
1055Dic79—24no—
1056Dic79—22no—
1057Dic79—21no—
1058Dic79—22no—
1059Dic79—24no—
1060Dic79—21no—
1061Dic79—21no—
1062Dic79—22no—
1063Dic79—21no—
1064Dic79—24no—
1065Dic79C22×#4114yes—
1066#62847—791nomaximal, Sylow
1067C2×C79—22no—
1068C2×C79—24no—
1069C2×C79—44no—
1070C2×C79C23×#4111yescharacteristic
1071C2×C79H(7,𝔽2)11yescharacteristic
1072C2×C792−1+611yescharacteristic
1073D79—24no—
1074D79—42no—
1075D79—44no—
1076#3521—794no—
1077#3521—794no—
1078#3520—794no—
1079#3520—794no—
1080#3515—794no—
1081#3515—794no—
1082#3513—794no—
1083#3513—794no—
1084#3507—792no—
1085#3505—792no—
1086#3505—792no—
1087#3501—791no—
1088#3496—791no—
1089#3492—792no—
1090#3491—792no—
1091#3491—791no—
1092#3491D7911yescharacteristic, complemented
1093#3485—792no—
1094#3461—792no—
1095#3459—791no—
1096#3459—791no—
1097#3459—792no—
1098#3455—792no—
1099C2×#539—792no—
1100C2×#539—792no—
1101C4×H(5,𝔽2)—792no—
1102C2×#520—791no—
1103C79#6284711yescharacteristic, complemented, Sylow
1104C2×H(5,𝔽2)—792no—
1105C22×#41—791no—
1106#559—792no—
1107#559—792no—
1108#557—792no—
1109#557—792no—
1110#556—794no—
1111#556—792no—
1112#556—792no—
1113#556—794no—
1114#554—794no—
1115#554—792no—
1116#554—794no—
1117#554—794no—
1118#554—794no—
1119#554—794no—
1120#554—792no—
1121#553—794no—
1122#553—794no—
1123#553—792no—
1124#553—794no—
1125#553—794no—
1126#553—794no—
1127#553—794no—
1128#553—792no—
1129#553—794no—
1130#552—794no—
1131#552—794no—
1132#552—794no—
1133#552—794no—
1134#552—794no—
1135#552—794no—
1136#552—792no—
1137#552—794no—
1138#552—792no—
1139#552—794no—
1140#552—794no—
1141#552—794no—
1142#552—794no—
1143#552C2×D7914yescomplemented
1144#552C2×D7914yescomplemented
1145#551—794no—
1146#551—794no—
1147#551—794no—
1148#551—794no—
1149#551—794no—
1150#551—794no—
1151#551—794no—
1152#551—794no—
1153#551—794no—
1154#551—794no—
1155#551C2×D7914yescomplemented
1156#551C2×D7914yescomplemented
1157D4×Q8—794no—
1158#548—792no—
1159#548—792no—
1160#548—794no—
1161#547—794no—
1162#547—794no—
1163#547—794no—
1164#547—794no—
1165#547—794no—
1166#547—794no—
1167#547—794no—
1168#546—792no—
1169#546—794no—
1170#546—794no—
1171#546—794no—
1172#546—794no—
1173#546—792no—
1174#546—794no—
1175#546—794no—
1176#546—794no—
1177D42—794no—
1178#544—792no—
1179#543—792no—
1180#543—791no—
1181#543C2×D7911yescharacteristic, complemented
1182#542—794no—
1183#542—794no—
1184#542—794no—
1185#542—794no—
1186#541—794no—
1187#541—794no—
1188#541—794no—
1189#540—794no—
1190#539—794no—
1191#539—794no—
1192#539—794no—
1193#539—794no—
1194#539—794no—
1195#539—794no—
1196#539—794no—
1197#539—794no—
1198#539—794no—
1199#539—794no—
1200#539—794no—
1201#539—794no—
1202#539—794no—
1203#539—794no—
1204#539—794no—
1205#539—792no—
1206#539—794no—
1207#539—792no—
1208#539—794no—
1209#539—792no—
1210#539—792no—
1211#539C2×D7912yescomplemented
1212#539C2×D7912yescomplemented
1213#538—794no—
1214#538—794no—
1215#538—792no—
1216#538—794no—
1217#538—792no—
1218#538—794no—
1219#538—794no—
1220#537—792no—
1221#536—794no—
1222#534—792no—
1223#534—794no—
1224#534—792no—
1225#534—792no—
1226#534—791no—
1227#534C2×D7911yescharacteristic
1228#533—792no—
1229#533—794no—
1230#533—794no—
1231#532—792no—
1232#529—794no—
1233#529—794no—
1234#529—794no—
1235#529—794no—
1236#529—794no—
1237#529—792no—
1238#529—794no—
1239#529—792no—
1240#529—794no—
1241#529—794no—
1242#529—794no—
1243#529—794no—
1244#529—794no—
1245#529—792no—
1246#529—792no—
1247#529C2×D7912yescomplemented
1248#529C2×D7912yescomplemented
1249C2×#126—794no—
1250C2×#126—792no—
1251C2×#126—792no—
1252C2×#125—794no—
1253C2×#125—792no—
1254C2×#125—792no—
1255#525—794no—
1256#525—792no—
1257#525—794no—
1258#525—792no—
1259#525—794no—
1260#525—794no—
1261#525—794no—
1262#525—794no—
1263C2×#123—792no—
1264C2×#123—794no—
1265C2×#123—794no—
1266C2×#123—792no—
1267C2×#123—792no—
1268C2×#123C2×D7912yescomplemented
1269C2×C22⋊Q8—792no—
1270C2×C22⋊Q8—794no—
1271C2×C22⋊Q8—792no—
1272C2×C22⋊Q8—792no—
1273C2×C22⋊Q8—792no—
1274C2×#121—792no—
1275C2×#121—792no—
1276#520—794no—
1277#520—794no—
1278#520—794no—
1279#520—794no—
1280#520—794no—
1281#520—794no—
1282#520—794no—
1283#518—794no—
1284#518—794no—
1285#518—792no—
1286#518—792no—
1287#518—794no—
1288#518C2×D7912yescomplemented
1289C4×#41—794no—
1290C4×#41—794no—
1291C4×#41—794no—
1292C2×C4×Q8—791no—
1293C2×C4×Q8—791no—
1294C2×C4×D4—792no—
1295C2×C4×D4—794no—
1296C2×C4×D4—794no—
1297C2×C4×D4—791no—
1298C2×C4×D4—791no—
1299C2×C4×D4—791no—
1300C2×C4×D4—791no—
1301C2×C4×D4—792no—
1302C2×C4×D4—794no—
1303C2×C4×D4—791no—
1304C2×C4×D4—791no—
1305C2×#117—791no—
1306C2×#117—791no—
1307C2×#117C2×D7911yescharacteristic, complemented
1308C22×C4⋊C4—791no—
1309C22×C4⋊C4—791no—
1310C22×C4⋊C4—791no—
1311H(5,𝔽2)—15816no—
1312C2×#41—792no—
1313C2×#41—792no—
1314C2×#41—794no—
1315C2×#41—794no—
1316C2×#41—794no—
1317C2×#41—794no—
1318C2×#41—794no—
1319C2×#41—794no—
1320C2×#41—1588no—
1321C22×Q8—792no—
1322C22×Q8—792no—
1323C22×Q8—791no—
1324C22×D4—791no—
1325C22×D4—792no—
1326C22×D4—791no—
1327C22×D4—792no—
1328C22×D4—794no—
1329C22×D4—792no—
1330C22×D4—794no—
1331C22×D4—794no—
1332C22×D4—791no—
1333C22×D4C22×D7912yes—
1334C23×C4—791no—
1335C23×C4—791no—
1336C23×C4—792no—
1337C23×C4—791no—
1338C23×C4—791no—
1339C23×C4—791no—
1340C23×C4—791no—
1341C23×C4—792no—
1342C23×C4—794no—
1343C23×C4—791no—
1344C23×C4—791no—
1345C23×C4C22×D7911yescharacteristic
1346C4⋊Q8—792no—
1347C4⋊Q8—794no—
1348C4⋊Q8—792no—
1349C4⋊Q8—794no—
1350C4⋊Q8—794no—
1351C4⋊Q8—792no—
1352C4⋊Q8—794no—
1353#127—792no—
1354#126—794no—
1355#126—794no—
1356#126—794no—
1357#126—794no—
1358#126—794no—
1359#126—794no—
1360#126—794no—
1361#126—794no—
1362#126—794no—
1363#126—794no—
1364#126—794no—
1365#126—794no—
1366#126—794no—
1367#126—794no—
1368#126—794no—
1369#126—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#126C22×D7914yes—
1379#126C22×D7914yes—
1380#126C22×D7914yes—
1381#126C22×D7914yes—
1382#125—794no—
1383#125—794no—
1384#125—794no—
1385#125—794no—
1386#125—794no—
1387#125—794no—
1388#125—794no—
1389#125—794no—
1390#125—794no—
1391#125—794no—
1392#125—794no—
1393#125—794no—
1394#125—792no—
1395#125—792no—
1396#125—794no—
1397#125—794no—
1398#125—794no—
1399#125—794no—
1400#125—794no—
1401#125—794no—
1402#125—792no—
1403#125—792no—
1404#125C22×D7914yes—
1405#125C22×D7914yes—
1406#125C22×D7912yes—
1407#125C22×D7912yes—
1408#124—794no—
1409#124—792no—
1410#124—792no—
1411#124—794no—
1412#124—794no—
1413#124—794no—
1414#124—794no—
1415#124—794no—
1416#124—794no—
1417#124—792no—
1418#124—794no—
1419#124—792no—
1420#124C22×D7912yes—
1421#124C22×D7912yes—
1422#123—794no—
1423#123—794no—
1424#123—794no—
1425#123—794no—
1426#123—794no—
1427#123—794no—
1428#123—794no—
1429#123—794no—
1430#123—794no—
1431#123—794no—
1432#123—794no—
1433#123—794no—
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—
1466#123C22×D7914yes—
1467#123C22×D7914yes—
1468C22⋊Q8—794no—
1469C22⋊Q8—792no—
1470C22⋊Q8—792no—
1471C22⋊Q8—794no—
1472C22⋊Q8—792no—
1473C22⋊Q8—794no—
1474C22⋊Q8—792no—
1475C22⋊Q8—794no—
1476C22⋊Q8—794no—
1477C22⋊Q8—792no—
1478C22⋊Q8—794no—
1479C22⋊Q8—794no—
1480C22⋊Q8—794no—
1481C22⋊Q8—794no—
1482C22⋊Q8—794no—
1483C22⋊Q8—794no—
1484C22⋊Q8—792no—
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⋊Q8—794no—
1503C22⋊Q8—794no—
1504C22⋊Q8—794no—
1505C22⋊Q8—794no—
1506C22⋊Q8—794no—
1507C22⋊Q8—794no—
1508C22⋊Q8C22×D7912yes—
1509C22⋊Q8C22×D7914yes—
1510C22⋊Q8C22×D7914yes—
1511C22⋊Q8C22×D7912yes—
1512C22⋊Q8C22×D7914yes—
1513C22⋊Q8C22×D7914yes—
1514#121—794no—
1515#121—794no—
1516#121—794no—
1517#121—792no—
1518#121—794no—
1519#121—794no—
1520#121—794no—
1521#121—792no—
1522#121—794no—
1523#121—794no—
1524#121—792no—
1525#121—794no—
1526#121—792no—
1527#121—794no—
1528#121—794no—
1529#121—792no—
1530#121—794no—
1531#121—794no—
1532#121—792no—
1533#121—794no—
1534#121—794no—
1535#121—794no—
1536#121—794no—
1537#121—794no—
1538#121—794no—
1539#121—794no—
1540#121—794no—
1541#121—794no—
1542#121C22×D7912yes—
1543#121C22×D7912yes—
1544#120—794no—
1545#120—794no—
1546#120—794no—
1547#120—794no—
1548#120—794no—
1549#120—794no—
1550#120—794no—
1551#120—794no—
1552#120—794no—
1553#120C22×D7914yes—
1554C4×Q8—792no—
1555C4×Q8—792no—
1556C4×Q8—794no—
1557C4×Q8—794no—
1558C4×Q8—792no—
1559C4×Q8—794no—
1560C4×Q8—792no—
1561C4×Q8—794no—
1562C4×Q8—794no—
1563C4×Q8—792no—
1564C4×Q8—792no—
1565C4×Q8—792no—
1566C4×Q8—792no—
1567C4×Q8—794no—
1568C4×Q8—794no—
1569C4×Q8—792no—
1570C4×Q8—794no—
1571C4×Q8—792no—
1572C4×Q8C22×D7912yes—
1573C4×Q8C22×D7912yes—
1574C4×D4—794no—
1575C4×D4—794no—
1576C4×D4—794no—
1577C4×D4—794no—
1578C4×D4—792no—
1579C4×D4—792no—
1580C4×D4—794no—
1581C4×D4—794no—
1582C4×D4—794no—
1583C4×D4—794no—
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—792no—
1593C4×D4—794no—
1594C4×D4—794no—
1595C4×D4—794no—
1596C4×D4—792no—
1597C4×D4—794no—
1598C4×D4—794no—
1599C4×D4—794no—
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—794no—
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—792no—
1626C4×D4—792no—
1627C4×D4—792no—
1628C4×D4—792no—
1629C4×D4—792no—
1630C4×D4—794no—
1631C4×D4—792no—
1632C4×D4C22×D7914yes—
1633C4×D4C22×D7914yes—
1634C4×D4C22×D7914yes—
1635C4×D4C22×D7914yes—
1636C4×D4C22×D7912yes—
1637C4×D4C22×D7912yes—
1638#117—794no—
1639#117—794no—
1640#117—794no—
1641#117—794no—
1642#117—794no—
1643#117—794no—
1644#117—794no—
1645#117—794no—
1646#117—792no—
1647#117—792no—
1648#117—794no—
1649#117—794no—
1650#117—794no—
1651#117—794no—
1652#117—794no—
1653#117—794no—
1654#117—794no—
1655#117—794no—
1656#117—794no—
1657#117—794no—
1658#117—794no—
1659#117C22×D7914yes—
1660#117C22×D7914yes—
1661#117C22×D7914yes—
1662#117C22×D7914yes—
1663#117C22×D7914yes—
1664C2×C4⋊C4—791no—
1665C2×C4⋊C4—791no—
1666C2×C4⋊C4—791no—
1667C2×C4⋊C4—791no—
1668C2×C4⋊C4—791no—
1669C2×C4⋊C4—791no—
1670C2×C4⋊C4—791no—
1671C2×C4⋊C4—791no—
1672C2×C4⋊C4—792no—
1673C2×C4⋊C4—792no—
1674C2×C4⋊C4—792no—
1675C2×C4⋊C4—792no—
1676C2×C4⋊C4—792no—
1677C2×C4⋊C4—792no—
1678C2×C4⋊C4—794no—
1679C2×C4⋊C4—792no—
1680C2×C4⋊C4—792no—
1681C2×C4⋊C4—792no—
1682C2×C4⋊C4—792no—
1683C2×C4⋊C4—792no—
1684C2×C4⋊C4—792no—
1685C2×C4⋊C4—794no—
1686C2×C4⋊C4—794no—
1687C2×C4⋊C4—794no—
1688C2×C4⋊C4—794no—
1689C2×C4⋊C4—794no—
1690C2×C4⋊C4—794no—
1691C2×C4⋊C4—792no—
1692C2×C4⋊C4—794no—
1693C2×C4⋊C4—794no—
1694C2×C4⋊C4—792no—
1695C2×C4⋊C4—794no—
1696C2×C4⋊C4C22×D7911yescharacteristic
1697C2×C4⋊C4C22×D7911yescharacteristic
1698C2×C4⋊C4C22×D7912yes—
1699C2×C4⋊C4C22×D7912yes—
1700C2×C22⋊C4—792no—
1701C2×C22⋊C4—792no—
1702C2×C22⋊C4—792no—
1703C2×C22⋊C4—791no—
1704C2×C22⋊C4—791no—
1705C2×C22⋊C4—791no—
1706C2×C22⋊C4—791no—
1707C2×C22⋊C4—792no—
1708C2×C22⋊C4—794no—
1709C2×C22⋊C4—792no—
1710C2×C22⋊C4—792no—
1711C2×C22⋊C4—792no—
1712C2×C22⋊C4—794no—
1713C2×C22⋊C4—794no—
1714C2×C22⋊C4—794no—
1715C2×C22⋊C4—794no—
1716C2×C22⋊C4—794no—
1717C2×C22⋊C4—794no—
1718C2×C22⋊C4—794no—
1719C2×C22⋊C4C22×D7911yescharacteristic
1720C2×C22⋊C4C22×D7911yescharacteristic
1721C2×C22⋊C4C22×D7912yes—
1722C2×C22⋊C4C22×D7914yes—
1723C2×C22⋊C4C22×D7912yes—
1724C2×C22⋊C4C22×D7912yes—
1725C2×C42—791no—
1726C2×C42—791no—
1727C2×C42—791no—
1728C2×C42—791no—
1729C2×C42—792no—
1730C2×C42—792no—
1731C2×C42—794no—
1732C2×C42—794no—
1733C2×C42—794no—
1734C2×C42C22×D7911yescharacteristic
1735C2×C42C22×D7911yescharacteristic
1736C24—791no—
1737C24—794no—
1738C24—792no—
1739C24—791no—
1740C24C23×D7912yes—
1741C24C23×D7911yescharacteristic
1742#41—6324no—
1743#41—6322no—
1744#41—6322no—
1745#41—15816no—
1746#41—15816no—
1747#41—15816no—
1748#41—15816no—
1749#41—15816no—
1750C2×Q8—792no—
1751C2×Q8—794no—
1752C2×Q8—792no—
1753C2×Q8—794no—
1754C2×Q8—792no—
1755C2×Q8—792no—
1756C2×Q8—794no—
1757C2×Q8—6322no—
1758C2×Q8—6322no—
1759C2×Q8—1584no—
1760C2×Q8C23×D7912yes—
1761C2×Q8C23×D7912yes—
1762C2×D4—28no—
1763C2×D4—794no—
1764C2×D4—794no—
1765C2×D4—794no—
1766C2×D4—794no—
1767C2×D4—798no—
1768C2×D4—794no—
1769C2×D4—794no—
1770C2×D4—794no—
1771C2×D4—794no—
1772C2×D4—794no—
1773C2×D4—794no—
1774C2×D4—792no—
1775C2×D4—794no—
1776C2×D4—794no—
1777C2×D4—792no—
1778C2×D4—792no—
1779C2×D4—792no—
1780C2×D4—794no—
1781C2×D4—6322no—
1782C2×D4—6322no—
1783C2×D4—1584no—
1784C2×D4—15816no—
1785C2×D4—15816no—
1786C2×D4—15816no—
1787C2×D4—1584no—
1788C2×D4—1588no—
1789C2×D4C23×D7914yes—
1790C2×D4C23×D7914yes—
1791C2×D4C23×D7912yes—
1792C2×D4C23×D7912yes—
1793C22×C4—24no—
1794C22×C4—792no—
1795C22×C4—791no—
1796C22×C4—791no—
1797C22×C4—792no—
1798C22×C4—792no—
1799C22×C4—791no—
1800C22×C4—791no—
1801C22×C4—794no—
1802C22×C4—792no—
1803C22×C4—792no—
1804C22×C4—794no—
1805C22×C4—792no—
1806C22×C4—794no—
1807C22×C4—794no—
1808C22×C4—794no—
1809C22×C4—794no—
1810C22×C4—792no—
1811C22×C4—794no—
1812C22×C4—794no—
1813C22×C4—794no—
1814C22×C4—792no—
1815C22×C4—792no—
1816C22×C4—792no—
1817C22×C4—794no—
1818C22×C4—791no—
1819C22×C4—791no—
1820C22×C4—792no—
1821C22×C4—794no—
1822C22×C4—794no—
1823C22×C4—794no—
1824C22×C4—794no—
1825C22×C4—794no—
1826C22×C4—6321no—
1827C22×C4—6321no—
1828C22×C4—6321no—
1829C22×C4—6321no—
1830C22×C4—6322no—
1831C22×C4—6324no—
1832C22×C4—6321no—
1833C22×C4—6322no—
1834C22×C4—6321no—
1835C22×C4—1584no—
1836C22×C4—1584no—
1837C22×C4C23×D7912yes—
1838C22×C4C23×D7911yescharacteristic
1839C22×C4C23×D7912yes—
1840C22×C4C23×D7912yes—
1841C22×C4C23×D7911yescharacteristic
1842C22×C4C23×D7911yescharacteristic
1843C22×C4C23×D7911yescharacteristic
1844C22×C4C23×D7912yes—
1845C22×C4C23×D7914yes—
1846C22×C4C23×D7911yescharacteristic
1847C22×C4C23×D7911yescharacteristic
1848C22×C4C23×D7912yes—
1849C22×C4C23×D7914yes—
1850C4⋊C4—792no—
1851C4⋊C4—792no—
1852C4⋊C4—794no—
1853C4⋊C4—792no—
1854C4⋊C4—794no—
1855C4⋊C4—792no—
1856C4⋊C4—794no—
1857C4⋊C4—794no—
1858C4⋊C4—794no—
1859C4⋊C4—794no—
1860C4⋊C4—794no—
1861C4⋊C4—794no—
1862C4⋊C4—794no—
1863C4⋊C4—794no—
1864C4⋊C4—794no—
1865C4⋊C4—794no—
1866C4⋊C4—794no—
1867C4⋊C4—794no—
1868C4⋊C4—794no—
1869C4⋊C4—794no—
1870C4⋊C4—794no—
1871C4⋊C4—794no—
1872C4⋊C4—794no—
1873C4⋊C4—794no—
1874C4⋊C4—794no—
1875C4⋊C4—794no—
1876C4⋊C4—792no—
1877C4⋊C4—792no—
1878C4⋊C4—792no—
1879C4⋊C4—792no—
1880C4⋊C4—791no—
1881C4⋊C4—791no—
1882C4⋊C4—792no—
1883C4⋊C4—792no—
1884C4⋊C4—791no—
1885C4⋊C4—791no—
1886C4⋊C4—794no—
1887C4⋊C4—794no—
1888C4⋊C4—794no—
1889C4⋊C4—792no—
1890C4⋊C4—794no—
1891C4⋊C4—792no—
1892C4⋊C4—794no—
1893C4⋊C4—794no—
1894C4⋊C4—792no—
1895C4⋊C4—792no—
1896C4⋊C4C23×D7914yes—
1897C4⋊C4C23×D7914yes—
1898C4⋊C4C23×D7914yes—
1899C4⋊C4C23×D7914yes—
1900C4⋊C4C23×D7912yes—
1901C4⋊C4C23×D7912yes—
1902C4⋊C4C23×D7914yes—
1903C4⋊C4C23×D7914yes—
1904C4⋊C4C23×D7914yes—
1905C4⋊C4C23×D7914yes—
1906C4⋊C4C23×D7914yes—
1907C4⋊C4C23×D7914yes—
1908C4⋊C4C23×D7912yes—
1909C4⋊C4C23×D7912yes—
1910C22⋊C4—794no—
1911C22⋊C4—794no—
1912C22⋊C4—794no—
1913C22⋊C4—794no—
1914C22⋊C4—794no—
1915C22⋊C4—794no—
1916C22⋊C4—794no—
1917C22⋊C4—794no—
1918C22⋊C4—792no—
1919C22⋊C4—792no—
1920C22⋊C4—794no—
1921C22⋊C4—794no—
1922C22⋊C4—794no—
1923C22⋊C4—794no—
1924C22⋊C4—794no—
1925C22⋊C4—794no—
1926C22⋊C4—794no—
1927C22⋊C4—794no—
1928C22⋊C4—794no—
1929C22⋊C4—794no—
1930C22⋊C4—792no—
1931C22⋊C4—794no—
1932C22⋊C4—792no—
1933C22⋊C4—794no—
1934C22⋊C4—794no—
1935C22⋊C4—794no—
1936C22⋊C4—794no—
1937C22⋊C4—794no—
1938C22⋊C4—794no—
1939C22⋊C4—794no—
1940C22⋊C4—794no—
1941C22⋊C4—794no—
1942C22⋊C4—794no—
1943C22⋊C4—794no—
1944C22⋊C4C23×D7914yes—
1945C22⋊C4C23×D7914yes—
1946C22⋊C4C23×D7914yes—
1947C22⋊C4C23×D7914yes—
1948C22⋊C4C23×D7914yes—
1949C22⋊C4C23×D7914yes—
1950C22⋊C4C23×D7914yes—
1951C22⋊C4C23×D7914yes—
1952C22⋊C4C23×D7914yes—
1953C22⋊C4C23×D7914yes—
1954C22⋊C4C23×D7914yes—
1955C22⋊C4C23×D7914yes—
1956C42—794no—
1957C42—794no—
1958C42—794no—
1959C42—794no—
1960C42—794no—
1961C42—794no—
1962C42—792no—
1963C42—792no—
1964C42—794no—
1965C42—794no—
1966C42—794no—
1967C42—794no—
1968C42—792no—
1969C42—792no—
1970C42C23×D7914yes—
1971C42C23×D7914yes—
1972C42C23×D7912yes—
1973C42C23×D7912yes—
1974C42C23×D7912yes—
1975C42C23×D7912yes—
1976C23—24no—
1977C23—41no—
1978C23—41no—
1979C23—42no—
1980C23—42no—
1981C23—3161no—
1982C23—3161no—
1983C23—3161no—
1984C23—3161no—
1985C23—3162no—
1986C23—3164no—
1987C23—3162no—
1988C23—3164no—
1989C23—794no—
1990C23—792no—
1991C23—794no—
1992C23—792no—
1993C23—1588no—
1994C23—1582no—
1995C23—1584no—
1996C23#41×D7914yes—
1997C23C24×D7914yes—
1998C23C24×D7911yescharacteristic
1999C23C24×D7912yes—
2000Q8—42no—
2001Q8—42no—
2002Q8—3164no—
2003Q8—3164no—
2004Q8—3162no—
2005Q8—3162no—
2006Q8—1584no—
2007Q8—1584no—
2008Q8—1588no—
2009D4—28no—
2010D4—28no—
2011D4—42no—
2012D4—42no—
2013D4—3162no—
2014D4—3164no—
2015D4—3164no—
2016D4—3162no—
2017D4—3164no—
2018D4—3164no—
2019D4—3164no—
2020D4—3164no—
2021D4—7916no—
2022D4—1588no—
2023D4—1584no—
2024D4—1584no—
2025D4—1588no—
2026D4—1588no—
2027D4—1588no—
2028D4—1588no—
2029D4—1588no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—24no—
2033C2×C4—24no—
2034C2×C4—24no—
2035C2×C4—41no—
2036C2×C4—41no—
2037C2×C4—42no—
2038C2×C4—44no—
2039C2×C4—41no—
2040C2×C4—44no—
2041C2×C4—42no—
2042C2×C4—41no—
2043C2×C4—3164no—
2044C2×C4—3164no—
2045C2×C4—3162no—
2046C2×C4—3164no—
2047C2×C4—3162no—
2048C2×C4—3164no—
2049C2×C4—3164no—
2050C2×C4—3164no—
2051C2×C4—3162no—
2052C2×C4—3162no—
2053C2×C4—3164no—
2054C2×C4—3164no—
2055C2×C4—3161no—
2056C2×C4—3161no—
2057C2×C4—3162no—
2058C2×C4—3162no—
2059C2×C4—3164no—
2060C2×C4—3161no—
2061C2×C4—3161no—
2062C2×C4—3162no—
2063C2×C4—3162no—
2064C2×C4—3162no—
2065C2×C4—3164no—
2066C2×C4—3162no—
2067C2×C4—792no—
2068C2×C4—794no—
2069C2×C4—792no—
2070C2×C4—791no—
2071C2×C4—791no—
2072C2×C4—794no—
2073C2×C4—792no—
2074C2×C4—794no—
2075C2×C4—791no—
2076C2×C4—794no—
2077C2×C4—792no—
2078C2×C4—791no—
2079C2×C4—1588no—
2080C2×C4—1588no—
2081C2×C4—1588no—
2082C2×C4—1588no—
2083C2×C4—1588no—
2084C2×C4—1582no—
2085C2×C4—1584no—
2086C2×C4C24×D7912yes—
2087C2×C4C24×D7912yes—
2088C2×C4C24×D7914yes—
2089C2×C4C24×D7912yes—
2090C2×C4C24×D7914yes—
2091C2×C4C24×D7914yes—
2092C2×C4C24×D7911yescharacteristic
2093C2×C4C24×D7911yescharacteristic
2094C2×C4C24×D7912yes—
2095C2×C4C24×D7912yes—
2096C22—21no—
2097C22—22no—
2098C22—21no—
2099C22—22no—
2100C22—24no—
2101C22—24no—
2102C22—24no—
2103C22—44no—
2104C22—84no—
2105C22—3164no—
2106C22—3164no—
2107C22—794no—
2108C22—6324no—
2109C22—6328no—
2110C22—1582no—
2111C22—1584no—
2112C22—1582no—
2113C22—1584no—
2114C22—1584no—
2115C22—1582no—
2116C22—1582no—
2117C22—1582no—
2118C22C2×#41×D7914yes—
2119C22C2×#41×D7912yes—
2120C22C25×D7911yescharacteristic
2121C4—22no—
2122C4—21no—
2123C4—21no—
2124C4—24no—
2125C4—22no—
2126C4—24no—
2127C4—22no—
2128C4—22no—
2129C4—24no—
2130C4—22no—
2131C4—794no—
2132C4—1584no—
2133C4—1582no—
2134C4—1582no—
2135C4—1581no—
2136C4—1581no—
2137C4—1581no—
2138C4—1582no—
2139C4—1584no—
2140C4—1581no—
2141C4—1584no—
2142C2—24no—
2143C2—22no—
2144C2—44no—
2145C2—3162no—
2146C2—3164no—
2147C2—1584no—
2148C2C22×#41×D7911yescharacteristic
2149C2#2377821111yescharacteristic
2150C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3491C2
hypercenter#3491D79
hypocenterC79#62847
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3491

Complements

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

NH ≅ G/Ntype
1. #23777465C2semidirect
2. #23777455C2semidirect
3. #23777446C2semidirect
4. #23777438C2semidirect
5. #23777375C2semidirect
6. #23777367C2semidirect
7. #23777337C2semidirect
8. #23777327C2semidirect
9. #23777256C2semidirect
10. #23777235C2semidirect
11. #23777230C2semidirect
12. #23777200C2semidirect
13. #23777161C2semidirect
14. #23777105C2semidirect
15. #23777098C2semidirect
16. #23777094C2semidirect
17. #23777038C2semidirect
18. #23776829C2semidirect
19. #23776812C2semidirect
20. #23776810C2semidirect
21. #23776806C2semidirect
22. #23776786C2semidirect
23. C2×#19099157C2semidirect
24. #539×D79C2semidirect
25. #23776604C2semidirect
26. C2×#19099043C2semidirect
27. C79×#3491C2semidirect
30. #19099296C22semidirect
31. #19099295C22semidirect
32. #19099290C22semidirect
33. #19099289C22semidirect
34. #19099285C22semidirect
35. #19099282C22semidirect
36. #19099281C22semidirect
37. #19099280C22semidirect
38. #19099272C22semidirect
39. #19099271C22semidirect
40. #19099269C22semidirect
41. #19099269C22semidirect
42. #19099267C22semidirect
43. #19099267C22semidirect
44. #19099267C22semidirect
45. #19099266C22semidirect
46. #19099264C22semidirect
47. #19099264C22semidirect
48. #19099263C22semidirect
49. #19099262C22semidirect
50. #19099262C22semidirect
51. #19099259C22semidirect
52. #19099258C22semidirect
53. #19099257C22semidirect
54. #19099254C22semidirect
55. #19099251C22semidirect
56. #19099251C22semidirect
57. #19099249C22semidirect
58. #19099249C22semidirect
59. #19099249C22semidirect
60. #19099247C22semidirect
61. #19099246C22semidirect
62. #19099246C22semidirect
63. #19099246C22semidirect
64. #19099246C22semidirect
65. #19099245C22semidirect
66. #19099245C22semidirect
67. #19099241C22semidirect
68. #19099240C22semidirect
69. #19099239C22semidirect
70. #19099238C22semidirect
71. #19099238C22semidirect
72. #19099237C22semidirect
73. #19099237C22semidirect
74. #19099237C22semidirect
75. #19099237C22semidirect
76. #19099236C22semidirect
77. #19099226C22semidirect
78. #19099225C22semidirect
79. #19099222C22semidirect
80. #19099221C22semidirect
81. #19099215C22semidirect
82. #19099214C22semidirect
83. #19099214C22semidirect
84. #19099211C22semidirect
85. #19099211C22semidirect
86. #19099211C22semidirect
87. #19099211C22semidirect
88. #19099208C22semidirect
89. #19099206C22semidirect
90. #19099205C22semidirect
91. #19099205C22semidirect
92. #19099205C22semidirect
93. #19099203C22semidirect
94. #19099203C22semidirect
95. #19099203C22semidirect
96. #19099200C22semidirect
97. #19099195C22semidirect
98. #19099192C22semidirect
99. #19099189C22semidirect
100. #19099188C22semidirect
101. #19099183C22semidirect
102. #19099179C22semidirect
103. #19099179C22semidirect
104. #19099177C22semidirect
105. #19099172C22semidirect
106. #19099172C22semidirect
107. #19099170C22semidirect
108. #19099165C22semidirect
109. #19099162C22semidirect
110. #19099162C22semidirect
111. #19099161C22semidirect
112. #19099161C22semidirect
113. #19099160C22semidirect
114. #19099160C22semidirect
115. #19099159C22semidirect
116. #19099158C22semidirect
117. #19099157C22semidirect
118. #19099157C22semidirect
119. #19099157C22semidirect
120. #19099157C22semidirect
121. #19099157C22semidirect
122. #19099157C22semidirect
123. #19099157C22semidirect
124. #19099157C22semidirect
125. #19099157C22semidirect
126. #19099156C22semidirect
127. #19099155C22semidirect
128. #19099154C22semidirect
129. #19099154C22semidirect
130. #19099153C22semidirect
131. #19099153C22semidirect
132. #19099152C22semidirect
133. #19099150C22semidirect
134. #19099148C22semidirect
135. #19099147C22semidirect
136. #19099146C22semidirect
138. #19099135C22semidirect
140. #19099125C22semidirect
141. #19099124C22semidirect
142. #19099122C22semidirect
144. #19099117C22semidirect
145. #19099116C22semidirect
146. #19099115C22semidirect
148. #19099100C22semidirect
149. #19099099C22semidirect
150. #19099099C22semidirect
151. #19099099C22semidirect
152. #19099098C22semidirect
153. #19099097C22semidirect
154. #19099097C22semidirect
155. #19099096C22semidirect
156. #19099094C22semidirect
157. #19099093C22semidirect
158. #19099093C22semidirect
159. #19099091C22semidirect
160. #19099091C22semidirect
161. #19099090C22semidirect
162. #19099090C22semidirect
163. C2×#14579156C22semidirect
164. C2×#14579154C22semidirect
165. #126×D79C22semidirect
166. C2×#14579152C22semidirect
167. C2×#14579151C22semidirect
168. #125×D79C22semidirect
169. #19099076C22semidirect
170. #19099076C22semidirect
171. #19099075C22semidirect
172. #19099073C22semidirect
173. #19099072C22semidirect
174. #19099072C22semidirect
175. #19099071C22semidirect
176. #19099069C22semidirect
177. C2×#14579145C22semidirect
178. C2×#14579144C22semidirect
179. C2×#14579143C22semidirect
180. #123×D79C22semidirect
181. #123×D79C22semidirect
182. C2×#14579141C22semidirect
183. C2×#14579138C22semidirect
184. C2×#14579138C22semidirect
185. C22⋊Q8×D79C22semidirect
186. C22⋊Q8×D79C22semidirect
189. #19099043C22semidirect
190. #19099043C22semidirect
191. #19099043C22semidirect
192. #19099043C22semidirect
193. #19099043C22semidirect
194. #19099042C22semidirect
195. #19099042C22semidirect
197. #19099036C22semidirect
198. #19099036C22semidirect
199. #19099035C22semidirect
200. #19099035C22semidirect
201. #19099031C22semidirect
202. C4×#11929623C22semidirect
203. C4×#11929623C22semidirect
204. C2×C4×Dic158C22semidirect
205. C2×C4×Dic158C22semidirect
206. C2×C4×D316C22semidirect
207. C2×C4×D316C22semidirect
208. C2×D4×Dic79C22semidirect
211. C2×(C22⋊D79)⋊C4C22semidirect
212. C2×(C22⋊D79)⋊C4C22semidirect
213. C2×(C22⋊D79)⋊C4C22semidirect
214. C2×(C22⋊D79)⋊C4C22semidirect
215. C4×D4×D79C22semidirect
216. C4×D4×D79C22semidirect
217. C2×#14579119C22semidirect
218. C2×#14579119C22semidirect
219. C22×C4⋊Dic79C22semidirect
220. C2×C4⋊C4×D79C22semidirect
221. C2×C4⋊C4×D79C22semidirect
222. #552×C79C22semidirect
223. #552×C79C22semidirect
224. #551×C79C22semidirect
225. #551×C79C22semidirect
226. #543×C79C22semidirect
227. #539×C79C22semidirect
228. #539×C79C22semidirect
230. #529×C79C22semidirect
231. #529×C79C22semidirect
232. C2×#123×C79C22semidirect
233. #518×C79C22semidirect
234. C2×#117×C79C22semidirect
694. C2×C22⋊D79#41semidirect
1092. #3491D79semidirect
1103. C79#62847semidirect
1143. #552C2×D79semidirect
1144. #552C2×D79semidirect
1155. #551C2×D79semidirect
1156. #551C2×D79semidirect
1181. #543C2×D79semidirect
1211. #539C2×D79semidirect
1212. #539C2×D79semidirect
1247. #529C2×D79semidirect
1248. #529C2×D79semidirect
1268. C2×#123C2×D79semidirect
1288. #518C2×D79semidirect
1307. C2×#117C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774652
#237774552
#237774462
#237774382
#237773752
#237773672
#237773372
#237773272
#237772562
#237772352
#237772302
#237772002
#237771612
#237771052
#237770982
#237770942
#237770382
#237768292
#237768122
#237768102
#237768062
#237767862
C2×#190991572
#539×D792
#237766042
C2×#190990432
C79×#34912
#6284779