Finite Group Databasebeta

← #35197322

Subgroups — #35197322

Order 20224.

7106 conjugacy classes of subgroups.

The subgroup lattice has 2166 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777460C214yesmaximal, complemented
2#23777458C214yesmaximal, complemented
3#23777443C214yesmaximal, complemented
4#23777441C214yesmaximal, complemented
5#23777372C214yesmaximal, complemented
6#23777370C214yesmaximal, complemented
7#23777332C214yesmaximal, complemented
8#23777330C214yesmaximal, complemented
9#23777260C212yesmaximal, complemented
10#23777241C211yesmaximal, characteristic, complemented
11#23777234C211yesmaximal, characteristic, complemented
12#23777232C212yesmaximal, complemented
13#23777196C211yesmaximal, characteristic, complemented
14#23777157C211yesmaximal, characteristic, complemented
15#23777105C212yesmaximal, complemented
16#23777096C212yesmaximal, complemented
17#23777094C212yesmaximal, complemented
18#23777038C212yesmaximal, complemented
19#23776830C212yesmaximal, complemented
20#23776809C212yesmaximal, complemented
21#23776808C212yesmaximal, complemented
22#23776786C212yesmaximal, complemented
23C2×#19099160C211yesmaximal, characteristic, complemented
24#539×D79C212yesmaximal, complemented
25C4×#14579206C212yesmaximal, complemented
26C2×#19099044C211yesmaximal, characteristic, complemented
27C2×#539×C79C211yesmaximal, characteristic, complemented
28C2×#14579206C2212yes—
29C22×#11929624C2211yescharacteristic
30#19099297C2214yescomplemented
31#19099290C2214yescomplemented
32#19099284C2214yescomplemented
33#19099280C2214yescomplemented
34#19099280C2214yescomplemented
35#19099271C2212yescomplemented
36#19099269C2214yescomplemented
37#19099268C2214yescomplemented
38#19099268C2212yescomplemented
39#19099267C2214yescomplemented
40#19099267C2214yescomplemented
41#19099267C2214yescomplemented
42#19099266C2214yescomplemented
43#19099265C2212yescomplemented
44#19099264C2214yescomplemented
45#19099264C2214yescomplemented
46#19099261C2214yescomplemented
47#19099261C2212yescomplemented
48#19099258C2214yescomplemented
49#19099258C2214yescomplemented
50#19099256C2214yescomplemented
51#19099255C2212yescomplemented
52#19099251C2214yescomplemented
53#19099250C2214yescomplemented
54#19099250C2214yescomplemented
55#19099250C2214yescomplemented
56#19099249C2214yescomplemented
57#19099249C2214yescomplemented
58#19099248C2214yescomplemented
59#19099248C2214yescomplemented
60#19099248C2212yescomplemented
61#19099247C2214yescomplemented
62#19099245C2214yescomplemented
63#19099245C2214yescomplemented
64#19099245C2214yescomplemented
65#19099245C2214yescomplemented
66#19099241C2214yescomplemented
67#19099240C2214yescomplemented
68#19099240C2214yescomplemented
69#19099240C2214yescomplemented
70#19099239C2214yescomplemented
71#19099239C2214yescomplemented
72#19099239C2214yescomplemented
73#19099238C2214yescomplemented
74#19099238C2214yescomplemented
75#19099236C2214yescomplemented
76#19099236C2214yescomplemented
77#19099236C2214yescomplemented
78Q8×C22⋊D79C2212yescomplemented
79#19099226C2212yescomplemented
80#19099224C2212yescomplemented
81#19099223C2214yescomplemented
82#19099219C2212yescomplemented
83#19099215C2214yescomplemented
84#19099214C2214yescomplemented
85#19099214C2214yescomplemented
86#19099214C2212yescomplemented
87#19099213C2212yescomplemented
88#19099211C2214yescomplemented
89#19099211C2214yescomplemented
90#19099211C2214yescomplemented
91#19099207C2212yescomplemented
92#19099205C2214yescomplemented
93#19099205C2214yescomplemented
94#19099205C2214yescomplemented
95#19099204C2212yescomplemented
96#19099203C2214yescomplemented
97#19099203C2214yescomplemented
98#19099203C2214yescomplemented
99#19099202C2214yescomplemented
100#19099197C2212yescomplemented
101D4×C22⋊D79C2212yescomplemented
102#19099192C2212yescomplemented
103#19099189C2212yescomplemented
104#19099188C2212yescomplemented
105#19099183C2214yescomplemented
106#19099183C2214yescomplemented
107#19099181C2214yescomplemented
108#19099179C2214yescomplemented
109#19099172C2214yescomplemented
110#19099172C2214yescomplemented
111#19099170C2214yescomplemented
112#19099165C2214yescomplemented
113#19099162C2212yescomplemented
114#19099161C2214yescomplemented
115#19099161C2214yescomplemented
116#19099160C2212yescomplemented
117#19099160C2212yescomplemented
118#19099160C2214yescomplemented
119#19099160C2214yescomplemented
120#19099160C2212yescomplemented
121#19099160C2214yescomplemented
122#19099160C2212yescomplemented
123#19099159C2214yescomplemented
124#19099159C2214yescomplemented
125#19099158C2212yescomplemented
126#19099157C2214yescomplemented
127#19099157C2214yescomplemented
128#19099156C2214yescomplemented
129#19099155C2214yescomplemented
130#19099155C2214yescomplemented
131#19099154C2214yescomplemented
132#19099153C2212yescomplemented
133#19099152C2214yescomplemented
134#19099151C2214yescomplemented
135#19099150C2212yescomplemented
136#19099149C2214yescomplemented
137#19099146C2214yescomplemented
138#19099146C2214yescomplemented
139#19099140C2212yes—
140#19099135C2214yescomplemented
141#19099125C2212yescomplemented
142#19099124C2214yescomplemented
143#19099122C2212yes—
144#19099122C2212yescomplemented
145#19099121C2212yes—
146#19099119C2214yescomplemented
147#19099115C2212yescomplemented
148#19099115C2214yescomplemented
149#19099108C2212yes—
150#19099099C2214yescomplemented
151#19099099C2212yescomplemented
152#19099098C2214yescomplemented
153#19099098C2214yescomplemented
154#19099097C2214yescomplemented
155#19099096C2214yescomplemented
156#19099096C2214yescomplemented
157#19099096C2214yescomplemented
158#19099094C2212yescomplemented
159#19099093C2214yescomplemented
160#19099093C2214yescomplemented
161#19099090C2214yescomplemented
162#19099090C2214yescomplemented
163#19099090C2214yescomplemented
164#19099090C2214yescomplemented
165C2×#14579156C2212yescomplemented
166#126×D79C2214yescomplemented
167C2×#14579151C2212yescomplemented
168#125×D79C2214yescomplemented
169#19099076C2214yescomplemented
170#19099076C2212yescomplemented
171#19099074C2214yescomplemented
172#19099073C2212yescomplemented
173#19099072C2214yescomplemented
174#19099072C2214yescomplemented
175#19099071C2214yescomplemented
176#19099071C2214yescomplemented
177C2×#14579146C2212yescomplemented
178C2×#14579144C2212yescomplemented
179#123×D79C2214yescomplemented
180#123×D79C2214yescomplemented
181C2×#14579140C2211yescharacteristic, complemented
182C2×#14579139C2212yescomplemented
183C22⋊Q8×D79C2214yescomplemented
184C22⋊Q8×D79C2212yescomplemented
185C2×#14579135C2211yescharacteristic
186#121×D79C2212yes—
187#19099044C2214yescomplemented
188#19099044C2214yescomplemented
189#19099044C2214yescomplemented
190#19099044C2214yescomplemented
191#19099044C2214yescomplemented
192#19099042C2214yescomplemented
193#19099042C2214yescomplemented
194#19099038C2212yescomplemented
195#19099036C2212yes—
196#19099036C2214yescomplemented
197#19099036C2212yescomplemented
198#19099035C2214yescomplemented
199#19099035C2214yescomplemented
200C4×#11929624C2214yescomplemented
201C4×#11929623C2214yescomplemented
202C4×#11929623C2214yescomplemented
203C2×#14579126C2211yescharacteristic, complemented
204C2×#14579126C2211yescharacteristic, complemented
205C2×#14579123C2211yescharacteristic, complemented
206C2×#14579123C2211yescharacteristic, complemented
207C2×C4×C22⋊D79C2211yescharacteristic
208C2×C4×C22⋊D79C2211yescharacteristic
209C2×C4×C22⋊D79C2211yescharacteristic, complemented
210C2×C4×C22⋊D79C2212yescomplemented
211C2×C4×C22⋊D79C2214yescomplemented
212C2×C4×C22⋊D79C2211yescharacteristic, complemented
213C4×D4×D79C2214yescomplemented
214C4×D4×D79C2214yescomplemented
215C2×#14579120C2211yescharacteristic, complemented
216C2×#14579119C2211yescharacteristic, complemented
217C2×#14579119C2211yescharacteristic, complemented
218C2×C4⋊C4×D79C2211yescharacteristic, complemented
219C2×C4⋊C4×D79C2211yescharacteristic, complemented
220#539×C79C2212yescomplemented
221#539×C79C2212yescomplemented
222#539×C79C2214yescomplemented
223#539×C79C2212yescomplemented
224#539×C79C2214yescomplemented
225#539×C79C2212yescomplemented
226C2×#126×C79C2212yescomplemented
227C2×#125×C79C2212yescomplemented
228C2×#123×C79C2212yescomplemented
229C2×#123×C79C2212yescomplemented
230C2×C22⋊Q8×C79C2212yescomplemented
231C2×C22⋊Q8×C79C2211yescharacteristic, complemented
232C2×#121×C79C2211yescharacteristic
233C2×C4×D4×C79C2212yescomplemented
234C22×C4⋊C4×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×Dic158C2311yescharacteristic
247C2×Q8×D79C2312yes—
248C22×D316C2311yescharacteristic
249C22×D316C2311yescharacteristic
250C22×C22⋊D79C2314yes—
251C22×C22⋊D79C2312yes—
252C22×C22⋊D79C2311yescharacteristic
253C22×C22⋊D79C2311yescharacteristic
254C2×D4×D79C2314yes—
255C2×D4×D79C2314yes—
256C2×D4×D79C2312yes—
257C22×C4×D79C2311yescharacteristic
258C22×C4×D79C2311yescharacteristic
259C22×C4×D79C2311yescharacteristic
260C22×C4×D79C2311yescharacteristic
261C22×C4×D79C2311yescharacteristic
262C22×C4×D79C2311yescharacteristic
263C22×C4×D79C2314yes—
264C22×C4×D79C2312yes—
265#14579160C2314yes—
266#14579160C2312yes—
267#14579160C2314yes—
268#14579160C2312yes—
269#14579160C2314yes—
270#14579159C2312yes—
271#14579159C2314yes—
272#14579157C2312yes—
273#14579156C2314yes—
274#14579156C2314yes—
275#14579156C2314yes—
276#14579156C2314yes—
277#14579156C2314yes—
278#14579156C2314yes—
279#14579156C2314yes—
280#14579156C2314yes—
281#14579156C2314yes—
282#14579156C2314yes—
283#14579156C2314yes—
284#14579156C2314yes—
285#14579156C2314yes—
286#14579156C2314yes—
287#14579155C2314yes—
288#14579155C2314yes—
289#14579154C2314yes—
290#14579154C2314yes—
291#14579154C2314yes—
292#14579154C2314yes—
293#14579154C2314yes—
294#14579154C2314yes—
295#14579154C2314yes—
296#14579154C2314yes—
297#14579153C2314yes—
298#14579152C2314yes—
299#14579152C2314yes—
300#14579152C2314yes—
301#14579152C2312yes—
302#14579152C2312yes—
303#14579151C2314yes—
304#14579151C2314yes—
305#14579151C2314yes—
306#14579151C2314yes—
307#14579151C2314yes—
308#14579151C2314yes—
309#14579151C2314yes—
310#14579151C2314yes—
311#14579151C2314yes—
312#14579151C2314yes—
313#14579151C2314yes—
314#14579151C2314yes—
315#14579151C2314yes—
316#14579151C2314yes—
317#14579150C2314yes—
318#14579150C2312yes—
319#14579149C2314yes—
320#14579148C2312yes—
321#14579147C2314yes—
322#14579147C2314yes—
323#14579147C2314yes—
324#14579147C2314yes—
325#14579147C2314yes—
326#14579147C2314yes—
327#14579147C2314yes—
328#14579147C2314yes—
329#14579146C2314yes—
330#14579146C2314yes—
331#14579146C2314yes—
332#14579146C2314yes—
333#14579146C2314yes—
334#14579146C2314yes—
335#14579146C2314yes—
336#14579146C2314yes—
337#14579146C2314yes—
338#14579146C2314yes—
339#14579146C2314yes—
340#14579146C2314yes—
341#14579146C2314yes—
342#14579146C2314yes—
343#14579145C2314yes—
344#14579145C2314yes—
345#14579145C2314yes—
346#14579145C2314yes—
347#14579145C2314yes—
348#14579144C2314yes—
349#14579144C2314yes—
350#14579144C2314yes—
351#14579144C2314yes—
352#14579144C2314yes—
353#14579144C2314yes—
354#14579144C2314yes—
355#14579144C2314yes—
356#14579143C2314yes—
357#14579143C2314yes—
358#14579143C2314yes—
359#14579143C2314yes—
360#14579143C2314yes—
361#14579143C2314yes—
362#14579143C2314yes—
363#14579143C2314yes—
364#14579142C2314yes—
365#14579142C2314yes—
366#14579142C2314yes—
367#14579141C2314yes—
368#14579141C2312yes—
369#14579141C2314yes—
370#14579141C2314yes—
371#14579141C2312yes—
372#14579140C2312yes—
373#14579140C2314yes—
374#14579140C2314yes—
375#14579140C2312yes—
376#14579140C2312yes—
377#14579140C2312yes—
378#14579140C2314yes—
379#14579139C2314yes—
380#14579139C2314yes—
381#14579139C2314yes—
382#14579139C2314yes—
383#14579139C2314yes—
384#14579139C2314yes—
385#14579139C2314yes—
386#14579139C2314yes—
387#14579139C2314yes—
388#14579139C2314yes—
389#14579139C2314yes—
390#14579139C2314yes—
391#14579139C2314yes—
392#14579139C2314yes—
393#14579138C2314yes—
394#14579138C2314yes—
395#14579138C2314yes—
396#14579138C2314yes—
397#14579138C2314yes—
398#14579138C2314yes—
399#14579138C2314yes—
400#14579138C2314yes—
401#14579138C2314yes—
402#14579138C2314yes—
403#14579137C2312yes—
404#14579137C2312yes—
405#14579137C2314yes—
406#14579137C2314yes—
407#14579136C2312yes—
408#14579136C2314yes—
409#14579136C2314yes—
410#14579136C2312yes—
411#14579136C2314yes—
412#14579135C2312yes—
413#14579135C2314yes—
414#14579135C2314yes—
415#14579135C2312yes—
416#14579135C2312yes—
417#14579135C2312yes—
418#14579135C2314yes—
419#14579134C2314yes—
420#14579134C2314yes—
421#14579134C2314yes—
422#14579134C2314yes—
423#14579134C2314yes—
424#14579134C2314yes—
425#14579134C2314yes—
426#14579134C2314yes—
427#14579133C2314yes—
428#14579133C2314yes—
429#14579133C2314yes—
430#14579133C2314yes—
431#14579133C2314yes—
432#14579133C2314yes—
433#14579132C2312yes—
434#14579132C2312yes—
435#14579131C2314yes—
436#14579131C2314yes—
437#14579131C2314yes—
438#14579131C2314yes—
439#14579131C2314yes—
440#14579130C2314yes—
441#14579130C2314yes—
442#14579129C2314yes—
443#14579129C2314yes—
444#14579129C2314yes—
445Q8×Dic79C2312yes—
446Q8×Dic79C2312yes—
447C4×Dic158C2314yes—
448C4×Dic158C2314yes—
449C4×Dic158C2314yes—
450#14579126C2314yes—
451#14579126C2314yes—
452#14579126C2314yes—
453#14579126C2312yes—
454#14579126C2314yes—
455#14579126C2312yes—
456#14579126C2314yes—
457#14579126C2314yes—
458#14579126C2314yes—
459#14579126C2314yes—
460#14579126C2314yes—
461C4×D316C2314yes—
462C4×D316C2314yes—
463C4×D316C2314yes—
464D4×Dic79C2314yes—
465D4×Dic79C2314yes—
466D4×Dic79C2312yes—
467D4×Dic79C2312yes—
468D4×Dic79C2314yes—
469D4×Dic79C2314yes—
470#14579123C2314yes—
471#14579123C2314yes—
472#14579123C2314yes—
473#14579123C2312yes—
474#14579123C2312yes—
475#14579123C2314yes—
476#14579123C2314yes—
477#14579123C2314yes—
478#14579123C2314yes—
479#14579123C2314yes—
480#14579123C2314yes—
481C4×C22⋊D79C2314yes—
482C4×C22⋊D79C2314yes—
483C4×C22⋊D79C2314yes—
484C4×C22⋊D79C2314yes—
485C4×C22⋊D79C2314yes—
486C4×C22⋊D79C2314yes—
487C4×C22⋊D79C2314yes—
488C4×C22⋊D79C2314yes—
489C4×C22⋊D79C2312yes—
490C4×C22⋊D79C2312yes—
491C4×C22⋊D79C2312yes—
492C4×C22⋊D79C2312yes—
493C4×C22⋊D79C2314yes—
494C4×C22⋊D79C2314yes—
495C4×C22⋊D79C2312yes—
496C4×C22⋊D79C2312yes—
497C4×C22⋊D79C2314yes—
498C4×C22⋊D79C2312yes—
499C4×C22⋊D79C2314yes—
500C4×C22⋊D79C2312yes—
501C4×C22⋊D79C2314yes—
502C4×C22⋊D79C2314yes—
503C4×C22⋊D79C2314yes—
504C4×C22⋊D79C2314yes—
505C4×C22⋊D79C2314yes—
506C4×C22⋊D79C2314yes—
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#14579120C2314yes—
522#14579120C2314yes—
523#14579120C2314yes—
524#14579120C2314yes—
525#14579119C2314yes—
526#14579119C2314yes—
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#14579117C2314yes—
541#14579117C2314yes—
542#14579117C2314yes—
543#14579117C2314yes—
544#14579117C2314yes—
545#14579117C2314yes—
546#14579117C2314yes—
547C2×C4⋊Dic79C2311yescharacteristic
548C2×C4⋊Dic79C2311yescharacteristic
549C2×C4⋊Dic79C2311yescharacteristic
550C2×C4⋊Dic79C2311yescharacteristic
551C2×Dic79⋊C4C2311yescharacteristic
552C2×Dic79⋊C4C2311yescharacteristic
553C2×Dic79⋊C4C2312yes—
554C2×Dic79⋊C4C2311yescharacteristic
555C2×Dic79⋊C4C2312yes—
556C2×Dic79⋊C4C2312yes—
557C2×Dic79⋊C4C2314yes—
558C2×Dic79⋊C4C2312yes—
559C2×Dic79⋊C4C2311yescharacteristic
560C4⋊C4×D79C2314yes—
561C4⋊C4×D79C2314yes—
562C4⋊C4×D79C2314yes—
563C4⋊C4×D79C2314yes—
564C4⋊C4×D79C2314yes—
565C4⋊C4×D79C2314yes—
566C4⋊C4×D79C2312yes—
567C4⋊C4×D79C2314yes—
568C4⋊C4×D79C2314yes—
569C4⋊C4×D79C2314yes—
570C4⋊C4×D79C2312yes—
571C2×C22⋊Dic79C2311yescharacteristic
572C2×C22⋊Dic79C2312yes—
573C2×C22⋊Dic79C2314yes—
574C2×C22⋊Dic79C2311yescharacteristic
575C2×(C2×D79)⋊C4C2311yescharacteristic
576C2×(C2×D79)⋊C4C2312yes—
577C2×(C2×D79)⋊C4C2311yescharacteristic
578C2×(C2×D79)⋊C4C2311yescharacteristic
579C2×(C2×D79)⋊C4C2312yes—
580C2×(C2×D79)⋊C4C2312yes—
581C2×(C2×D79)⋊C4C2312yes—
582C2×(C2×D79)⋊C4C2314yes—
583C2×(C2×D79)⋊C4C2311yescharacteristic
584C22⋊C4×D79C2314yes—
585C22⋊C4×D79C2314yes—
586C22⋊C4×D79C2314yes—
587C22⋊C4×D79C2314yes—
588C22⋊C4×D79C2314yes—
589C22⋊C4×D79C2314yes—
590C22⋊C4×D79C2314yes—
591C2×C4×Dic79C2311yescharacteristic
592C2×C4×Dic79C2311yescharacteristic
593C2×C4×Dic79C2311yescharacteristic
594C2×C4×Dic79C2311yescharacteristic
595C2×C4×Dic79C2311yescharacteristic
596C2×C4×Dic79C2311yescharacteristic
597C2×C4×Dic79C2312yes—
598C2×C4×Dic79C2314yes—
599C42×D79C2314yes—
600C42×D79C2314yes—
601C22×Q8×C79C2311yescharacteristic
602C22×D4×C79C2312yes—
603C22×D4×C79C2311yescharacteristic
604C23×C4×C79C2311yescharacteristic
605C23×C4×C79C2311yescharacteristic
606C23×C4×C79C2311yescharacteristic
607C23×C4×C79C2312yes—
608#126×C79C2314yes—
609#126×C79C2314yes—
610#126×C79C2314yes—
611#126×C79C2314yes—
612#125×C79C2314yes—
613#125×C79C2314yes—
614#125×C79C2314yes—
615#125×C79C2314yes—
616#123×C79C2314yes—
617#123×C79C2314yes—
618#123×C79C2314yes—
619#123×C79C2314yes—
620#123×C79C2314yes—
621#123×C79C2314yes—
622#123×C79C2314yes—
623#123×C79C2314yes—
624C22⋊Q8×C79C2312yes—
625C22⋊Q8×C79C2314yes—
626C22⋊Q8×C79C2314yes—
627C22⋊Q8×C79C2312yes—
628C22⋊Q8×C79C2312yes—
629C22⋊Q8×C79C2314yes—
630C22⋊Q8×C79C2314yes—
631C22⋊Q8×C79C2312yes—
632#121×C79C2312yes—
633#121×C79C2312yes—
634#121×C79C2312yes—
635#121×C79C2312yes—
636C4×D4×C79C2314yes—
637C4×D4×C79C2314yes—
638C4×D4×C79C2314yes—
639C4×D4×C79C2314yes—
640C2×C4⋊C4×C79C2312yes—
641C2×C4⋊C4×C79C2312yes—
642C2×C4⋊C4×C79C2311yescharacteristic
643C2×C4⋊C4×C79C2311yescharacteristic
644C2×C4⋊C4×C79C2311yescharacteristic
645C2×C4⋊C4×C79C2311yescharacteristic
646C2×C4⋊C4×C79C2312yes—
647C2×C4⋊C4×C79C2311yescharacteristic
648C2×C4⋊C4×C79C2312yes—
649C2×C4⋊C4×C79C2312yes—
650C2×C4⋊C4×C79C2312yes—
651C2×C4⋊C4×C79C2312yes—
652C2×C4⋊C4×C79C2312yes—
653C2×C4⋊C4×C79C2311yescharacteristic
654C2×C22⋊C4×C79C2312yes—
655C2×C22⋊C4×C79C2312yes—
656C2×C22⋊C4×C79C2312yes—
657C2×C22⋊C4×C79C2312yes—
658C2×C22⋊C4×C79C2312yes—
659C2×C42×C79C2312yes—
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—81no—
674C2×Dic158C2414yes—
675C2×Dic158C2414yes—
676C2×Dic158C2412yes—
677C2×Dic158C2414yes—
678C2×Dic158C2412yes—
679C2×Dic158C2414yes—
680Q8×D79—82no—
681C2×D316—24no—
682C2×D316—81no—
683C2×D316C2414yes—
684C2×D316C2414yes—
685C2×D316C2414yes—
686C2×D316C2412yes—
687C2×D316C2414yes—
688C2×D316C2412yes—
689C2×C22⋊D79—24no—
690C2×C22⋊D79—28no—
691C2×C22⋊D79—216no—
692C2×C22⋊D79#4118yescomplemented
693C2×C22⋊D79C2414yes—
694C2×C22⋊D79C2414yes—
695C2×C22⋊D79C2414yes—
696C2×C22⋊D79C2412yes—
697C2×C22⋊D79C2412yes—
698C2×C22⋊D79C2414yes—
699C2×C22⋊D79C2414yes—
700C2×C22⋊D79C2414yes—
701C2×C22⋊D79C2414yes—
702C2×C22⋊D79C2414yes—
703C2×C22⋊D79C2412yes—
704C2×C22⋊D79C2412yes—
705D4×D79—216no—
706D4×D79—216no—
707D4×D79—82no—
708C22×Dic79C2411yescharacteristic
709C22×Dic79C2412yes—
710C22×Dic79C2414yes—
711C22×Dic79C2412yes—
712C22×Dic79C2414yes—
713C22×Dic79C2411yescharacteristic
714C22×Dic79C2411yescharacteristic
715C22×Dic79C2412yes—
716C22×Dic79C2414yes—
717C22×Dic79C2411yescharacteristic
718C22×Dic79C2411yescharacteristic
719C22×Dic79C2411yescharacteristic
720C2×C4×D79—24no—
721C2×C4×D79—24no—
722C2×C4×D79—81no—
723C2×C4×D79—81no—
724C2×C4×D79—81no—
725C2×C4×D79—81no—
726C2×C4×D79—84no—
727C2×C4×D79—82no—
728C2×C4×D79C2414yes—
729C2×C4×D79C2414yes—
730C2×C4×D79C2414yes—
731C2×C4×D79C2414yes—
732C2×C4×D79C2414yes—
733C2×C4×D79C2412yes—
734C2×C4×D79C2412yes—
735C2×C4×D79C2414yes—
736C2×C4×D79C2414yes—
737C2×C4×D79C2414yes—
738C2×C4×D79C2412yes—
739C2×C4×D79C2414yes—
740C2×C4×D79C2414yes—
741C2×C4×D79C2414yes—
742C2×C4×D79C2414yes—
743C2×C4×D79C2412yes—
744C4⋊Dic79C2414yes—
745C4⋊Dic79C2414yes—
746C4⋊Dic79C2412yes—
747C4⋊Dic79C2412yes—
748C4⋊Dic79C2414yes—
749C4⋊Dic79C2414yes—
750C4⋊Dic79C2414yes—
751C4⋊Dic79C2414yes—
752C4⋊Dic79C2412yes—
753C4⋊Dic79C2412yes—
754C4⋊Dic79C2414yes—
755C4⋊Dic79C2414yes—
756Dic79⋊C4C2414yes—
757Dic79⋊C4C2412yes—
758Dic79⋊C4C2412yes—
759Dic79⋊C4C2412yes—
760Dic79⋊C4C2414yes—
761Dic79⋊C4C2412yes—
762Dic79⋊C4C2414yes—
763Dic79⋊C4C2414yes—
764Dic79⋊C4C2414yes—
765Dic79⋊C4C2414yes—
766Dic79⋊C4C2414yes—
767Dic79⋊C4C2414yes—
768Dic79⋊C4C2414yes—
769Dic79⋊C4C2414yes—
770Dic79⋊C4C2414yes—
771Dic79⋊C4C2414yes—
772Dic79⋊C4C2414yes—
773Dic79⋊C4C2414yes—
774Dic79⋊C4C2414yes—
775Dic79⋊C4C2414yes—
776Dic79⋊C4C2414yes—
777Dic79⋊C4C2414yes—
778Dic79⋊C4C2414yes—
779Dic79⋊C4C2414yes—
780Dic79⋊C4C2414yes—
781Dic79⋊C4C2414yes—
782C22⋊Dic79C2412yes—
783C22⋊Dic79C2414yes—
784C22⋊Dic79C2414yes—
785C22⋊Dic79C2414yes—
786C22⋊Dic79C2414yes—
787C22⋊Dic79C2414yes—
788C22⋊Dic79C2414yes—
789C22⋊Dic79C2412yes—
790C22⋊Dic79C2414yes—
791C22⋊Dic79C2412yes—
792C22⋊Dic79C2412yes—
793C22⋊Dic79C2414yes—
794(C2×D79)⋊C4C2414yes—
795(C2×D79)⋊C4C2414yes—
796(C2×D79)⋊C4C2414yes—
797(C2×D79)⋊C4C2414yes—
798(C2×D79)⋊C4C2414yes—
799(C2×D79)⋊C4C2414yes—
800(C2×D79)⋊C4C2414yes—
801(C2×D79)⋊C4C2414yes—
802(C2×D79)⋊C4C2414yes—
803(C2×D79)⋊C4C2414yes—
804(C2×D79)⋊C4C2414yes—
805(C2×D79)⋊C4C2414yes—
806(C2×D79)⋊C4C2414yes—
807(C2×D79)⋊C4C2412yes—
808(C2×D79)⋊C4C2412yes—
809(C2×D79)⋊C4C2412yes—
810(C2×D79)⋊C4C2414yes—
811(C2×D79)⋊C4C2412yes—
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—
820C4×Dic79C2414yes—
821C4×Dic79C2414yes—
822C4×Dic79C2414yes—
823C4×Dic79C2414yes—
824C4×Dic79C2414yes—
825C4×Dic79C2414yes—
826C4×Dic79C2414yes—
827C4×Dic79C2412yes—
828C4×Dic79C2414yes—
829C4×Dic79C2414yes—
830C4×Dic79C2414yes—
831C4×Dic79C2414yes—
832C4×Dic79C2414yes—
833C4×Dic79C2412yes—
834C4×Dic79C2412yes—
835C4×Dic79C2412yes—
836C24×C79C2412yes—
837C24×C79C2411yescharacteristic
838C2×Q8×C79—81no—
839C2×Q8×C79C2412yes—
840C2×Q8×C79C2412yes—
841C2×D4×C79—28no—
842C2×D4×C79—81no—
843C2×D4×C79C2414yes—
844C2×D4×C79C2414yes—
845C2×D4×C79C2412yes—
846C2×D4×C79C2412yes—
847C22×C4×C79—24no—
848C22×C4×C79—81no—
849C22×C4×C79—81no—
850C22×C4×C79—82no—
851C22×C4×C79C2411yescharacteristic
852C22×C4×C79C2412yes—
853C22×C4×C79C2412yes—
854C22×C4×C79C2412yes—
855C22×C4×C79C2411yescharacteristic
856C22×C4×C79C2411yescharacteristic
857C22×C4×C79C2414yes—
858C22×C4×C79C2412yes—
859C22×C4×C79C2412yes—
860C22×C4×C79C2411yescharacteristic
861C22×C4×C79C2412yes—
862C22×C4×C79C2411yescharacteristic
863C22×C4×C79C2411yescharacteristic
864C22×C4×C79C2411yescharacteristic
865C22×C4×C79C2412yes—
866C22×C4×C79C2411yescharacteristic
867C22×C4×C79C2411yescharacteristic
868C22×C4×C79C2411yescharacteristic
869C22×C4×C79C2414yes—
870C4⋊C4×C79C2412yes—
871C4⋊C4×C79C2412yes—
872C4⋊C4×C79C2412yes—
873C4⋊C4×C79C2412yes—
874C4⋊C4×C79C2412yes—
875C4⋊C4×C79C2412yes—
876C4⋊C4×C79C2412yes—
877C4⋊C4×C79C2412yes—
878C4⋊C4×C79C2414yes—
879C4⋊C4×C79C2414yes—
880C4⋊C4×C79C2412yes—
881C4⋊C4×C79C2412yes—
882C4⋊C4×C79C2414yes—
883C4⋊C4×C79C2414yes—
884C4⋊C4×C79C2414yes—
885C4⋊C4×C79C2414yes—
886C4⋊C4×C79C2412yes—
887C4⋊C4×C79C2412yes—
888C4⋊C4×C79C2414yes—
889C4⋊C4×C79C2414yes—
890C22⋊C4×C79C2414yes—
891C22⋊C4×C79C2414yes—
892C22⋊C4×C79C2414yes—
893C22⋊C4×C79C2414yes—
894C22⋊C4×C79C2414yes—
895C22⋊C4×C79C2414yes—
896C22⋊C4×C79C2414yes—
897C22⋊C4×C79C2414yes—
898C22⋊C4×C79C2414yes—
899C22⋊C4×C79C2414yes—
900C42×C79C2414yes—
901C42×C79C2414yes—
902C23×C79—24no—
903C23×C79—41no—
904C23×C79—41no—
905C23×C79—42no—
906C23×C79—42no—
907C23×C79C2×#4114yes—
908C23×C79C2514yes—
909C23×C79C2511yescharacteristic
910C23×C79C2511yescharacteristic
911C23×C79C2511yescharacteristic
912C22×D79—22no—
913C22×D79—24no—
914C22×D79—28no—
915C22×D79—41no—
916C22×D79—41no—
917C22×D79—41no—
918C22×D79—41no—
919C22×D79—44no—
920C22×D79—42no—
921C22×D79—44no—
922C22×D79—42no—
923C22×D79C2×#4114yes—
924C22×D79C2514yes—
925C22×D79C2512yes—
926C22×D79C2512yes—
927Q8×C79—42no—
928Q8×C79—42no—
929D4×C79—28no—
930D4×C79—28no—
931D4×C79—42no—
932D4×C79—42no—
933C2×C4×C79—22no—
934C2×C4×C79—22no—
935C2×C4×C79—24no—
936C2×C4×C79—24no—
937C2×C4×C79—24no—
938C2×C4×C79—41no—
939C2×C4×C79—42no—
940C2×C4×C79—41no—
941C2×C4×C79—44no—
942C2×C4×C79—41no—
943C2×C4×C79—41no—
944C2×C4×C79—41no—
945C2×C4×C79—41no—
946C2×C4×C79—44no—
947C2×C4×C79—42no—
948C2×C4×C79—41no—
949C2×C4×C79—41no—
950C2×C4×C79—42no—
951C2×C4×C79—42no—
952C2×C4×C79C2512yes—
953C2×C4×C79C2512yes—
954C2×C4×C79C2512yes—
955C2×C4×C79C2511yescharacteristic
956C2×C4×C79C2511yescharacteristic
957C2×C4×C79C2514yes—
958C2×C4×C79C2514yes—
959C2×C4×C79C2514yes—
960C2×C4×C79C2511yescharacteristic
961C2×C4×C79C2511yescharacteristic
962C2×C4×C79C2512yes—
963C22⋊D79—28no—
964C22⋊D79—28no—
965C22⋊D79—24no—
966C22⋊D79—24no—
967C22⋊D79—28no—
968C22⋊D79—28no—
969C22⋊D79—44no—
970C22⋊D79—44no—
971C22⋊D79—44no—
972C22⋊D79—44no—
973C22⋊D79C2×#4118yes—
974C22⋊D79C2×#4118yes—
975C2×Dic79—22no—
976C2×Dic79—24no—
977C2×Dic79—28no—
978C2×Dic79—41no—
979C2×Dic79—41no—
980C2×Dic79—42no—
981C2×Dic79—44no—
982C2×Dic79—41no—
983C2×Dic79—42no—
984C2×Dic79—44no—
985C2×Dic79—41no—
986C2×Dic79C2×#4114yes—
987C2×Dic79C2512yes—
988C2×Dic79C2512yes—
989C2×Dic79C2512yes—
990C2×Dic79C2514yes—
991C2×Dic79C2512yes—
992C2×Dic79C2514yes—
993C2×Dic79C2514yes—
994C2×Dic79C2512yes—
995C2×Dic79C2512yes—
996D316—28no—
997D316—28no—
998D316—42no—
999D316—42no—
1000D316—44no—
1001D316—44no—
1002C4×D79—28no—
1003C4×D79—28no—
1004C4×D79—28no—
1005C4×D79—28no—
1006C4×D79—44no—
1007C4×D79—44no—
1008C4×D79—42no—
1009C4×D79—42no—
1010C4×D79—44no—
1011C4×D79—42no—
1012C4×D79—44no—
1013C4×D79—44no—
1014C4×D79—44no—
1015C4×D79—42no—
1016C4×D79—44no—
1017C4×D79—44no—
1018Dic158—28no—
1019Dic158—28no—
1020Dic158—42no—
1021Dic158—44no—
1022Dic158—42no—
1023Dic158—44no—
1024C22×C79—21no—
1025C22×C79—21no—
1026C22×C79—21no—
1027C22×C79—21no—
1028C22×C79—21no—
1029C22×C79—21no—
1030C22×C79—24no—
1031C22×C79—24no—
1032C22×C79—24no—
1033C22×C79—44no—
1034C22×C79—84no—
1035C22×C79C22×#4112yes—
1036C22×C79C22×#4112yes—
1037C22×C79C22×#4112yes—
1038C22×C79C2611yescharacteristic
1039C2×D79—22no—
1040C2×D79—22no—
1041C2×D79—24no—
1042C2×D79—22no—
1043C2×D79—22no—
1044C2×D79—24no—
1045C2×D79—22no—
1046C2×D79—24no—
1047C2×D79—44no—
1048C2×D79—44no—
1049C2×D79—88no—
1050C2×D79—84no—
1051C2×D79C22×#4114yes—
1052C4×C79—22no—
1053C4×C79—22no—
1054C4×C79—24no—
1055C4×C79—22no—
1056C4×C79—22no—
1057C4×C79—21no—
1058C4×C79—21no—
1059C4×C79—21no—
1060C4×C79—24no—
1061C4×C79—21no—
1062C4×C79—24no—
1063Dic79—24no—
1064Dic79—22no—
1065Dic79—22no—
1066Dic79—24no—
1067Dic79—22no—
1068Dic79—22no—
1069Dic79—24no—
1070Dic79—22no—
1071Dic79C22×#4114yes—
1072#62847—791nomaximal, Sylow
1073C2×C79—22no—
1074C2×C79—22no—
1075C2×C79—22no—
1076C2×C79—44no—
1077C2×C79C23×#4111yescharacteristic
1078C2×C79H(7,𝔽2)11yescharacteristic
1079C2×C792−1+611yescharacteristic
1080D79—24no—
1081D79—42no—
1082D79—44no—
1083#3521—794no—
1084#3521—794no—
1085#3520—794no—
1086#3520—794no—
1087#3515—794no—
1088#3515—794no—
1089#3513—794no—
1090#3513—794no—
1091#3507—792no—
1092#3505—792no—
1093#3505—791no—
1094#3505—791no—
1095#3501—791no—
1096#3496—791no—
1097#3492—792no—
1098#3491—792no—
1099#3491—792no—
1100#3485—792no—
1101#3461—792no—
1102#3459—792no—
1103#3459—792no—
1104#3455—792no—
1105C2×#539—792no—
1106C2×#539—791no—
1107C2×#539D7911yescharacteristic, complemented
1108C4×H(5,𝔽2)—792no—
1109C2×#520—791no—
1110C79#6284711yescharacteristic, complemented, Sylow
1111C2×H(5,𝔽2)—792no—
1112C22×#41—791no—
1113#559—794no—
1114#557—794no—
1115#556—794no—
1116#556—794no—
1117#556—794no—
1118#554—794no—
1119#554—794no—
1120#554—794no—
1121#554—794no—
1122#554—792no—
1123#554—794no—
1124#554—792no—
1125#553—794no—
1126#553—794no—
1127#553—794no—
1128#553—794no—
1129#553—794no—
1130#553—794no—
1131#553—792no—
1132#553—794no—
1133#553—792no—
1134#552—794no—
1135#552—794no—
1136#552—794no—
1137#552—794no—
1138#552—794no—
1139#552—794no—
1140#552—794no—
1141#552—794no—
1142#552—794no—
1143#552—794no—
1144#552—794no—
1145#552—792no—
1146#552—794no—
1147#552—794no—
1148#552—792no—
1149#551—794no—
1150#551—794no—
1151#551—794no—
1152#551—794no—
1153#551—794no—
1154#551—794no—
1155#551—794no—
1156#551—794no—
1157#551—794no—
1158#551—794no—
1159#551—794no—
1160#551—794no—
1161D4×Q8—792no—
1162D4×Q8—792no—
1163#548—792no—
1164#548—794no—
1165#548—792no—
1166#547—794no—
1167#547—794no—
1168#547—794no—
1169#547—794no—
1170#547—792no—
1171#547—794no—
1172#547—794no—
1173#547—792no—
1174#546—792no—
1175#546—794no—
1176#546—794no—
1177#546—794no—
1178#546—792no—
1179#546—794no—
1180#546—794no—
1181#546—794no—
1182#546—794no—
1183D42—792no—
1184D42—792no—
1185#544—792no—
1186#543—792no—
1187#543—792no—
1188#542—794no—
1189#542—794no—
1190#542—794no—
1191#542—794no—
1192#541—794no—
1193#541—794no—
1194#541—794no—
1195#540—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—792no—
1205#539—792no—
1206#539—794no—
1207#539—794no—
1208#539—792no—
1209#539—792no—
1210#539—792no—
1211#539—792no—
1212#539—794no—
1213#539—794no—
1214#539—794no—
1215#539C2×D7912yescomplemented
1216#539C2×D7912yescomplemented
1217#539C2×D7912yescomplemented
1218#539C2×D7912yescomplemented
1219#539C2×D7914yescomplemented
1220#539C2×D7914yescomplemented
1221#538—794no—
1222#538—794no—
1223#538—792no—
1224#538—792no—
1225#538—794no—
1226#538—794no—
1227#538—794no—
1228#537—792no—
1229#536—794no—
1230#534—792no—
1231#534—792no—
1232#534—794no—
1233#534—792no—
1234#534—792no—
1235#533—794no—
1236#533—792no—
1237#533—794no—
1238#532—792no—
1239#529—794no—
1240#529—794no—
1241#529—794no—
1242#529—794no—
1243#529—794no—
1244#529—794no—
1245#529—794no—
1246#529—794no—
1247#529—794no—
1248#529—794no—
1249#529—792no—
1250#529—792no—
1251#529—794no—
1252#529—794no—
1253#529—794no—
1254C2×#126—794no—
1255C2×#126—792no—
1256C2×#126C2×D7912yescomplemented
1257C2×#125—794no—
1258C2×#125—792no—
1259C2×#125C2×D7912yescomplemented
1260#525—794no—
1261#525—794no—
1262#525—794no—
1263#525—792no—
1264#525—794no—
1265#525—792no—
1266#525—794no—
1267#525—794no—
1268C2×#123—792no—
1269C2×#123—794no—
1270C2×#123—794no—
1271C2×#123—792no—
1272C2×#123C2×D7912yescomplemented
1273C2×#123C2×D7912yescomplemented
1274C2×C22⋊Q8—791no—
1275C2×C22⋊Q8—792no—
1276C2×C22⋊Q8—794no—
1277C2×C22⋊Q8—792no—
1278C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1279C2×C22⋊Q8C2×D7912yescomplemented
1280C2×#121—791no—
1281C2×#121—792no—
1282C2×#121C2×D7911yescharacteristic
1283#520—794no—
1284#520—794no—
1285#520—794no—
1286#520—794no—
1287#520—794no—
1288#520—794no—
1289#520—794no—
1290#518—792no—
1291#518—794no—
1292#518—794no—
1293#518—792no—
1294#518—792no—
1295#518—794no—
1296C4×#41—794no—
1297C4×#41—794no—
1298C4×#41—794no—
1299C2×C4×Q8—791no—
1300C2×C4×Q8—791no—
1301C2×C4×D4—791no—
1302C2×C4×D4—791no—
1303C2×C4×D4—791no—
1304C2×C4×D4—791no—
1305C2×C4×D4—792no—
1306C2×C4×D4—794no—
1307C2×C4×D4—794no—
1308C2×C4×D4—794no—
1309C2×C4×D4—791no—
1310C2×C4×D4—791no—
1311C2×C4×D4C2×D7912yescomplemented
1312C2×#117—791no—
1313C2×#117—791no—
1314C2×#117—791no—
1315C22×C4⋊C4—791no—
1316C22×C4⋊C4—791no—
1317C22×C4⋊C4C2×D7911yescharacteristic, complemented
1318H(5,𝔽2)—15816no—
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—1588no—
1328C22×Q8—792no—
1329C22×Q8—791no—
1330C22×Q8—791no—
1331C22×Q8C22×D7911yescharacteristic
1332C22×D4—791no—
1333C22×D4—791no—
1334C22×D4—792no—
1335C22×D4—794no—
1336C22×D4—792no—
1337C22×D4—794no—
1338C22×D4—794no—
1339C22×D4—791no—
1340C22×D4—791no—
1341C22×D4C22×D7912yes—
1342C22×D4C22×D7911yescharacteristic
1343C23×C4—791no—
1344C23×C4—791no—
1345C23×C4—791no—
1346C23×C4—791no—
1347C23×C4—792no—
1348C23×C4—794no—
1349C23×C4—791no—
1350C23×C4—791no—
1351C23×C4C22×D7911yescharacteristic
1352C23×C4C22×D7911yescharacteristic
1353C23×C4C22×D7911yescharacteristic
1354C23×C4C22×D7912yes—
1355C4⋊Q8—792no—
1356C4⋊Q8—794no—
1357C4⋊Q8—792no—
1358C4⋊Q8—794no—
1359C4⋊Q8—794no—
1360C4⋊Q8—792no—
1361C4⋊Q8—794no—
1362#127—792no—
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#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#126C22×D7914yes—
1388#126C22×D7914yes—
1389#126C22×D7914yes—
1390#126C22×D7914yes—
1391#125—794no—
1392#125—794no—
1393#125—794no—
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—794no—
1405#125—792no—
1406#125—792no—
1407#125—794no—
1408#125—794no—
1409#125—794no—
1410#125—794no—
1411#125C22×D7914yes—
1412#125C22×D7914yes—
1413#125C22×D7914yes—
1414#125C22×D7914yes—
1415#124—794no—
1416#124—792no—
1417#124—792no—
1418#124—794no—
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#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#123—794no—
1462#123—794no—
1463#123—794no—
1464#123—794no—
1465#123C22×D7914yes—
1466#123C22×D7914yes—
1467#123C22×D7914yes—
1468#123C22×D7914yes—
1469#123C22×D7914yes—
1470#123C22×D7914yes—
1471#123C22×D7914yes—
1472#123C22×D7914yes—
1473C22⋊Q8—794no—
1474C22⋊Q8—792no—
1475C22⋊Q8—792no—
1476C22⋊Q8—794no—
1477C22⋊Q8—792no—
1478C22⋊Q8—792no—
1479C22⋊Q8—794no—
1480C22⋊Q8—792no—
1481C22⋊Q8—792no—
1482C22⋊Q8—794no—
1483C22⋊Q8—794no—
1484C22⋊Q8—794no—
1485C22⋊Q8—794no—
1486C22⋊Q8—794no—
1487C22⋊Q8—794no—
1488C22⋊Q8—794no—
1489C22⋊Q8—794no—
1490C22⋊Q8—794no—
1491C22⋊Q8—792no—
1492C22⋊Q8—794no—
1493C22⋊Q8—792no—
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⋊Q8—794no—
1509C22⋊Q8—794no—
1510C22⋊Q8—794no—
1511C22⋊Q8—794no—
1512C22⋊Q8—794no—
1513C22⋊Q8C22×D7914yes—
1514C22⋊Q8C22×D7912yes—
1515C22⋊Q8C22×D7912yes—
1516C22⋊Q8C22×D7914yes—
1517C22⋊Q8C22×D7912yes—
1518C22⋊Q8C22×D7914yes—
1519C22⋊Q8C22×D7914yes—
1520C22⋊Q8C22×D7912yes—
1521#121—794no—
1522#121—792no—
1523#121—794no—
1524#121—792no—
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—794no—
1534#121—794no—
1535#121—794no—
1536#121—792no—
1537#121—794no—
1538#121—792no—
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#121C22×D7912yes—
1550#121C22×D7912yes—
1551#121C22×D7912yes—
1552#121C22×D7912yes—
1553#120—794no—
1554#120—794no—
1555#120—794no—
1556#120—794no—
1557#120—794no—
1558#120—794no—
1559#120—794no—
1560#120—794no—
1561#120—794no—
1562#120—794no—
1563C4×Q8—792no—
1564C4×Q8—792no—
1565C4×Q8—794no—
1566C4×Q8—794no—
1567C4×Q8—794no—
1568C4×Q8—794no—
1569C4×Q8—794no—
1570C4×Q8—794no—
1571C4×Q8—794no—
1572C4×Q8—792no—
1573C4×Q8—794no—
1574C4×Q8—794no—
1575C4×Q8—792no—
1576C4×Q8—794no—
1577C4×Q8—794no—
1578C4×Q8—794no—
1579C4×D4—794no—
1580C4×D4—794no—
1581C4×D4—794no—
1582C4×D4—794no—
1583C4×D4—792no—
1584C4×D4—792no—
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—794no—
1594C4×D4—794no—
1595C4×D4—794no—
1596C4×D4—794no—
1597C4×D4—794no—
1598C4×D4—794no—
1599C4×D4—792no—
1600C4×D4—792no—
1601C4×D4—792no—
1602C4×D4—792no—
1603C4×D4—792no—
1604C4×D4—792no—
1605C4×D4—792no—
1606C4×D4—792no—
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—792no—
1621C4×D4—792no—
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—794no—
1636C4×D4—794no—
1637C4×D4—794no—
1638C4×D4—794no—
1639C4×D4C22×D7914yes—
1640C4×D4C22×D7914yes—
1641C4×D4C22×D7914yes—
1642C4×D4C22×D7914yes—
1643#117—794no—
1644#117—794no—
1645#117—794no—
1646#117—794no—
1647#117—794no—
1648#117—794no—
1649#117—794no—
1650#117—794no—
1651#117—794no—
1652#117—794no—
1653#117—794no—
1654#117—792no—
1655#117—792no—
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—
1669C2×C4⋊C4—791no—
1670C2×C4⋊C4—791no—
1671C2×C4⋊C4—791no—
1672C2×C4⋊C4—791no—
1673C2×C4⋊C4—791no—
1674C2×C4⋊C4—791no—
1675C2×C4⋊C4—792no—
1676C2×C4⋊C4—794no—
1677C2×C4⋊C4—791no—
1678C2×C4⋊C4—792no—
1679C2×C4⋊C4—792no—
1680C2×C4⋊C4—791no—
1681C2×C4⋊C4—792no—
1682C2×C4⋊C4—794no—
1683C2×C4⋊C4—794no—
1684C2×C4⋊C4—794no—
1685C2×C4⋊C4—794no—
1686C2×C4⋊C4—794no—
1687C2×C4⋊C4—794no—
1688C2×C4⋊C4—792no—
1689C2×C4⋊C4—794no—
1690C2×C4⋊C4—794no—
1691C2×C4⋊C4—792no—
1692C2×C4⋊C4—794no—
1693C2×C4⋊C4C22×D7911yescharacteristic
1694C2×C4⋊C4C22×D7911yescharacteristic
1695C2×C4⋊C4C22×D7911yescharacteristic
1696C2×C4⋊C4C22×D7911yescharacteristic
1697C2×C4⋊C4C22×D7912yes—
1698C2×C4⋊C4C22×D7912yes—
1699C2×C4⋊C4C22×D7912yes—
1700C2×C4⋊C4C22×D7912yes—
1701C2×C4⋊C4C22×D7912yes—
1702C2×C4⋊C4C22×D7911yescharacteristic
1703C2×C4⋊C4C22×D7912yes—
1704C2×C4⋊C4C22×D7912yes—
1705C2×C4⋊C4C22×D7911yescharacteristic
1706C2×C4⋊C4C22×D7912yes—
1707C2×C22⋊C4—791no—
1708C2×C22⋊C4—791no—
1709C2×C22⋊C4—792no—
1710C2×C22⋊C4—794no—
1711C2×C22⋊C4—791no—
1712C2×C22⋊C4—791no—
1713C2×C22⋊C4—791no—
1714C2×C22⋊C4—791no—
1715C2×C22⋊C4—792no—
1716C2×C22⋊C4—794no—
1717C2×C22⋊C4—792no—
1718C2×C22⋊C4—792no—
1719C2×C22⋊C4—792no—
1720C2×C22⋊C4—794no—
1721C2×C22⋊C4—794no—
1722C2×C22⋊C4—794no—
1723C2×C22⋊C4—794no—
1724C2×C22⋊C4—794no—
1725C2×C22⋊C4—794no—
1726C2×C22⋊C4—794no—
1727C2×C22⋊C4C22×D7912yes—
1728C2×C22⋊C4C22×D7912yes—
1729C2×C22⋊C4C22×D7912yes—
1730C2×C22⋊C4C22×D7912yes—
1731C2×C22⋊C4C22×D7912yes—
1732C2×C42—791no—
1733C2×C42—791no—
1734C2×C42—791no—
1735C2×C42—791no—
1736C2×C42—791no—
1737C2×C42—791no—
1738C2×C42—792no—
1739C2×C42—794no—
1740C2×C42—794no—
1741C2×C42—794no—
1742C2×C42C22×D7912yes—
1743C24—791no—
1744C24—794no—
1745C24—792no—
1746C24—791no—
1747C24C23×D7912yes—
1748C24C23×D7911yescharacteristic
1749#41—6324no—
1750#41—6322no—
1751#41—6322no—
1752#41—15816no—
1753#41—15816no—
1754#41—15816no—
1755#41—15816no—
1756#41—15816no—
1757C2×Q8—81no—
1758C2×Q8—794no—
1759C2×Q8—792no—
1760C2×Q8—792no—
1761C2×Q8—794no—
1762C2×Q8—794no—
1763C2×Q8—794no—
1764C2×Q8—6321no—
1765C2×Q8—6322no—
1766C2×Q8—1584no—
1767C2×Q8C23×D7912yes—
1768C2×Q8C23×D7912yes—
1769C2×D4—28no—
1770C2×D4—81no—
1771C2×D4—794no—
1772C2×D4—794no—
1773C2×D4—794no—
1774C2×D4—794no—
1775C2×D4—798no—
1776C2×D4—792no—
1777C2×D4—792no—
1778C2×D4—792no—
1779C2×D4—792no—
1780C2×D4—794no—
1781C2×D4—794no—
1782C2×D4—794no—
1783C2×D4—794no—
1784C2×D4—794no—
1785C2×D4—794no—
1786C2×D4—792no—
1787C2×D4—792no—
1788C2×D4—794no—
1789C2×D4—794no—
1790C2×D4—6321no—
1791C2×D4—6322no—
1792C2×D4—1584no—
1793C2×D4—15816no—
1794C2×D4—15816no—
1795C2×D4—15816no—
1796C2×D4—1584no—
1797C2×D4—1588no—
1798C2×D4C23×D7914yes—
1799C2×D4C23×D7914yes—
1800C2×D4C23×D7912yes—
1801C2×D4C23×D7912yes—
1802C22×C4—24no—
1803C22×C4—81no—
1804C22×C4—82no—
1805C22×C4—81no—
1806C22×C4—791no—
1807C22×C4—791no—
1808C22×C4—792no—
1809C22×C4—794no—
1810C22×C4—791no—
1811C22×C4—791no—
1812C22×C4—792no—
1813C22×C4—794no—
1814C22×C4—794no—
1815C22×C4—794no—
1816C22×C4—794no—
1817C22×C4—794no—
1818C22×C4—794no—
1819C22×C4—792no—
1820C22×C4—794no—
1821C22×C4—794no—
1822C22×C4—792no—
1823C22×C4—792no—
1824C22×C4—792no—
1825C22×C4—794no—
1826C22×C4—791no—
1827C22×C4—791no—
1828C22×C4—792no—
1829C22×C4—794no—
1830C22×C4—794no—
1831C22×C4—794no—
1832C22×C4—794no—
1833C22×C4—794no—
1834C22×C4—6321no—
1835C22×C4—6324no—
1836C22×C4—6322no—
1837C22×C4—6321no—
1838C22×C4—6321no—
1839C22×C4—6321no—
1840C22×C4—1584no—
1841C22×C4—1584no—
1842C22×C4C23×D7911yescharacteristic
1843C22×C4C23×D7912yes—
1844C22×C4C23×D7912yes—
1845C22×C4C23×D7912yes—
1846C22×C4C23×D7911yescharacteristic
1847C22×C4C23×D7911yescharacteristic
1848C22×C4C23×D7911yescharacteristic
1849C22×C4C23×D7912yes—
1850C22×C4C23×D7911yescharacteristic
1851C22×C4C23×D7911yescharacteristic
1852C22×C4C23×D7914yes—
1853C22×C4C23×D7912yes—
1854C22×C4C23×D7912yes—
1855C22×C4C23×D7911yescharacteristic
1856C22×C4C23×D7914yes—
1857C22×C4C23×D7911yescharacteristic
1858C22×C4C23×D7912yes—
1859C22×C4C23×D7911yescharacteristic
1860C22×C4C23×D7911yescharacteristic
1861C4⋊C4—794no—
1862C4⋊C4—792no—
1863C4⋊C4—792no—
1864C4⋊C4—792no—
1865C4⋊C4—794no—
1866C4⋊C4—792no—
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—794no—
1877C4⋊C4—794no—
1878C4⋊C4—794no—
1879C4⋊C4—794no—
1880C4⋊C4—794no—
1881C4⋊C4—794no—
1882C4⋊C4—794no—
1883C4⋊C4—794no—
1884C4⋊C4—794no—
1885C4⋊C4—794no—
1886C4⋊C4—794no—
1887C4⋊C4—794no—
1888C4⋊C4—794no—
1889C4⋊C4—792no—
1890C4⋊C4—792no—
1891C4⋊C4—794no—
1892C4⋊C4—792no—
1893C4⋊C4—794no—
1894C4⋊C4—792no—
1895C4⋊C4—794no—
1896C4⋊C4—794no—
1897C4⋊C4—794no—
1898C4⋊C4—794no—
1899C4⋊C4C23×D7912yes—
1900C4⋊C4C23×D7912yes—
1901C4⋊C4C23×D7912yes—
1902C4⋊C4C23×D7912yes—
1903C4⋊C4C23×D7914yes—
1904C4⋊C4C23×D7914yes—
1905C4⋊C4C23×D7912yes—
1906C4⋊C4C23×D7914yes—
1907C4⋊C4C23×D7914yes—
1908C4⋊C4C23×D7914yes—
1909C4⋊C4C23×D7912yes—
1910C4⋊C4C23×D7912yes—
1911C4⋊C4C23×D7912yes—
1912C4⋊C4C23×D7912yes—
1913C4⋊C4C23×D7912yes—
1914C4⋊C4C23×D7912yes—
1915C4⋊C4C23×D7914yes—
1916C4⋊C4C23×D7914yes—
1917C4⋊C4C23×D7914yes—
1918C4⋊C4C23×D7912yes—
1919C22⋊C4—792no—
1920C22⋊C4—792no—
1921C22⋊C4—794no—
1922C22⋊C4—794no—
1923C22⋊C4—794no—
1924C22⋊C4—794no—
1925C22⋊C4—792no—
1926C22⋊C4—792no—
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—794no—
1938C22⋊C4—794no—
1939C22⋊C4—794no—
1940C22⋊C4—794no—
1941C22⋊C4—792no—
1942C22⋊C4—792no—
1943C22⋊C4—792no—
1944C22⋊C4—794no—
1945C22⋊C4—792no—
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⋊C4—794no—
1955C22⋊C4—794no—
1956C22⋊C4—794no—
1957C22⋊C4C23×D7914yes—
1958C22⋊C4C23×D7914yes—
1959C22⋊C4C23×D7914yes—
1960C22⋊C4C23×D7914yes—
1961C22⋊C4C23×D7914yes—
1962C22⋊C4C23×D7914yes—
1963C22⋊C4C23×D7914yes—
1964C22⋊C4C23×D7914yes—
1965C22⋊C4C23×D7914yes—
1966C22⋊C4C23×D7914yes—
1967C42—794no—
1968C42—794no—
1969C42—794no—
1970C42—794no—
1971C42—794no—
1972C42—792no—
1973C42—792no—
1974C42—794no—
1975C42—794no—
1976C42—794no—
1977C42—794no—
1978C42—794no—
1979C42—794no—
1980C42—794no—
1981C42—792no—
1982C42—792no—
1983C42C23×D7914yes—
1984C42C23×D7914yes—
1985C23—24no—
1986C23—41no—
1987C23—41no—
1988C23—42no—
1989C23—42no—
1990C23—3161no—
1991C23—3161no—
1992C23—3161no—
1993C23—3161no—
1994C23—3162no—
1995C23—3164no—
1996C23—3162no—
1997C23—3164no—
1998C23—794no—
1999C23—792no—
2000C23—794no—
2001C23—792no—
2002C23—1588no—
2003C23—1582no—
2004C23—1584no—
2005C23#41×D7914yes—
2006C23C24×D7914yes—
2007C23C24×D7911yescharacteristic
2008C23C24×D7911yescharacteristic
2009C23C24×D7911yescharacteristic
2010Q8—42no—
2011Q8—42no—
2012Q8—3162no—
2013Q8—3162no—
2014Q8—3164no—
2015Q8—3164no—
2016Q8—1588no—
2017Q8—1588no—
2018D4—28no—
2019D4—28no—
2020D4—42no—
2021D4—42no—
2022D4—3162no—
2023D4—3162no—
2024D4—3164no—
2025D4—3164no—
2026D4—3164no—
2027D4—3164no—
2028D4—3164no—
2029D4—3164no—
2030D4—798no—
2031D4—798no—
2032D4—1588no—
2033D4—1588no—
2034D4—1588no—
2035D4—1588no—
2036D4—1588no—
2037D4—1588no—
2038D4—1584no—
2039D4—1584no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—24no—
2043C2×C4—24no—
2044C2×C4—24no—
2045C2×C4—42no—
2046C2×C4—41no—
2047C2×C4—42no—
2048C2×C4—41no—
2049C2×C4—44no—
2050C2×C4—41no—
2051C2×C4—41no—
2052C2×C4—41no—
2053C2×C4—41no—
2054C2×C4—41no—
2055C2×C4—42no—
2056C2×C4—41no—
2057C2×C4—44no—
2058C2×C4—42no—
2059C2×C4—3164no—
2060C2×C4—3164no—
2061C2×C4—3162no—
2062C2×C4—3164no—
2063C2×C4—3162no—
2064C2×C4—3164no—
2065C2×C4—3164no—
2066C2×C4—3162no—
2067C2×C4—3162no—
2068C2×C4—3164no—
2069C2×C4—3164no—
2070C2×C4—3164no—
2071C2×C4—3161no—
2072C2×C4—3161no—
2073C2×C4—3162no—
2074C2×C4—3164no—
2075C2×C4—3161no—
2076C2×C4—3164no—
2077C2×C4—3162no—
2078C2×C4—3161no—
2079C2×C4—792no—
2080C2×C4—794no—
2081C2×C4—792no—
2082C2×C4—792no—
2083C2×C4—792no—
2084C2×C4—794no—
2085C2×C4—792no—
2086C2×C4—794no—
2087C2×C4—794no—
2088C2×C4—792no—
2089C2×C4—1588no—
2090C2×C4—1588no—
2091C2×C4—1588no—
2092C2×C4—1588no—
2093C2×C4—1588no—
2094C2×C4—1582no—
2095C2×C4—1584no—
2096C2×C4C24×D7912yes—
2097C2×C4C24×D7912yes—
2098C2×C4C24×D7912yes—
2099C2×C4C24×D7914yes—
2100C2×C4C24×D7914yes—
2101C2×C4C24×D7911yescharacteristic
2102C2×C4C24×D7911yescharacteristic
2103C2×C4C24×D7914yes—
2104C2×C4C24×D7911yescharacteristic
2105C2×C4C24×D7911yescharacteristic
2106C2×C4C24×D7912yes—
2107C22—21no—
2108C22—21no—
2109C22—21no—
2110C22—21no—
2111C22—21no—
2112C22—21no—
2113C22—24no—
2114C22—24no—
2115C22—24no—
2116C22—44no—
2117C22—84no—
2118C22—3164no—
2119C22—3164no—
2120C22—794no—
2121C22—6324no—
2122C22—6328no—
2123C22—1582no—
2124C22—1584no—
2125C22—1582no—
2126C22—1584no—
2127C22—1584no—
2128C22—1582no—
2129C22—1582no—
2130C22—1582no—
2131C22C2×#41×D7912yes—
2132C22C2×#41×D7912yes—
2133C22C2×#41×D7912yes—
2134C22C25×D7911yescharacteristic
2135C4—22no—
2136C4—22no—
2137C4—24no—
2138C4—22no—
2139C4—22no—
2140C4—21no—
2141C4—21no—
2142C4—21no—
2143C4—24no—
2144C4—21no—
2145C4—24no—
2146C4—794no—
2147C4—1584no—
2148C4—1582no—
2149C4—1582no—
2150C4—1582no—
2151C4—1584no—
2152C4—1582no—
2153C4—1584no—
2154C4—1582no—
2155C2—22no—
2156C2—22no—
2157C2—22no—
2158C2—44no—
2159C2—3162no—
2160C2—3164no—
2161C2—1584no—
2162C2C22×#41×D7911yescharacteristic
2163C2#2377821011yescharacteristic
2164C2#2377821211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC2×#539×C79C2
hypercenterC2×#539D79
hypocenterC79#62847
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #23777460C2semidirect
2. #23777458C2semidirect
3. #23777443C2semidirect
4. #23777441C2semidirect
5. #23777372C2semidirect
6. #23777370C2semidirect
7. #23777332C2semidirect
8. #23777330C2semidirect
9. #23777260C2semidirect
10. #23777241C2semidirect
11. #23777234C2semidirect
12. #23777232C2semidirect
13. #23777196C2semidirect
14. #23777157C2semidirect
15. #23777105C2semidirect
16. #23777096C2semidirect
17. #23777094C2semidirect
18. #23777038C2semidirect
19. #23776830C2semidirect
20. #23776809C2semidirect
21. #23776808C2semidirect
22. #23776786C2semidirect
23. C2×#19099160C2semidirect
24. #539×D79C2semidirect
25. C4×#14579206C2semidirect
26. C2×#19099044C2semidirect
27. C2×#539×C79C2semidirect
30. #19099297C22semidirect
31. #19099290C22semidirect
32. #19099284C22semidirect
33. #19099280C22semidirect
34. #19099280C22semidirect
35. #19099271C22semidirect
36. #19099269C22semidirect
37. #19099268C22semidirect
38. #19099268C22semidirect
39. #19099267C22semidirect
40. #19099267C22semidirect
41. #19099267C22semidirect
42. #19099266C22semidirect
43. #19099265C22semidirect
44. #19099264C22semidirect
45. #19099264C22semidirect
46. #19099261C22semidirect
47. #19099261C22semidirect
48. #19099258C22semidirect
49. #19099258C22semidirect
50. #19099256C22semidirect
51. #19099255C22semidirect
52. #19099251C22semidirect
53. #19099250C22semidirect
54. #19099250C22semidirect
55. #19099250C22semidirect
56. #19099249C22semidirect
57. #19099249C22semidirect
58. #19099248C22semidirect
59. #19099248C22semidirect
60. #19099248C22semidirect
61. #19099247C22semidirect
62. #19099245C22semidirect
63. #19099245C22semidirect
64. #19099245C22semidirect
65. #19099245C22semidirect
66. #19099241C22semidirect
67. #19099240C22semidirect
68. #19099240C22semidirect
69. #19099240C22semidirect
70. #19099239C22semidirect
71. #19099239C22semidirect
72. #19099239C22semidirect
73. #19099238C22semidirect
74. #19099238C22semidirect
75. #19099236C22semidirect
76. #19099236C22semidirect
77. #19099236C22semidirect
78. Q8×C22⋊D79C22semidirect
79. #19099226C22semidirect
80. #19099224C22semidirect
81. #19099223C22semidirect
82. #19099219C22semidirect
83. #19099215C22semidirect
84. #19099214C22semidirect
85. #19099214C22semidirect
86. #19099214C22semidirect
87. #19099213C22semidirect
88. #19099211C22semidirect
89. #19099211C22semidirect
90. #19099211C22semidirect
91. #19099207C22semidirect
92. #19099205C22semidirect
93. #19099205C22semidirect
94. #19099205C22semidirect
95. #19099204C22semidirect
96. #19099203C22semidirect
97. #19099203C22semidirect
98. #19099203C22semidirect
99. #19099202C22semidirect
100. #19099197C22semidirect
101. D4×C22⋊D79C22semidirect
102. #19099192C22semidirect
103. #19099189C22semidirect
104. #19099188C22semidirect
105. #19099183C22semidirect
106. #19099183C22semidirect
107. #19099181C22semidirect
108. #19099179C22semidirect
109. #19099172C22semidirect
110. #19099172C22semidirect
111. #19099170C22semidirect
112. #19099165C22semidirect
113. #19099162C22semidirect
114. #19099161C22semidirect
115. #19099161C22semidirect
116. #19099160C22semidirect
117. #19099160C22semidirect
118. #19099160C22semidirect
119. #19099160C22semidirect
120. #19099160C22semidirect
121. #19099160C22semidirect
122. #19099160C22semidirect
123. #19099159C22semidirect
124. #19099159C22semidirect
125. #19099158C22semidirect
126. #19099157C22semidirect
127. #19099157C22semidirect
128. #19099156C22semidirect
129. #19099155C22semidirect
130. #19099155C22semidirect
131. #19099154C22semidirect
132. #19099153C22semidirect
133. #19099152C22semidirect
134. #19099151C22semidirect
135. #19099150C22semidirect
136. #19099149C22semidirect
137. #19099146C22semidirect
138. #19099146C22semidirect
140. #19099135C22semidirect
141. #19099125C22semidirect
142. #19099124C22semidirect
144. #19099122C22semidirect
146. #19099119C22semidirect
147. #19099115C22semidirect
148. #19099115C22semidirect
150. #19099099C22semidirect
151. #19099099C22semidirect
152. #19099098C22semidirect
153. #19099098C22semidirect
154. #19099097C22semidirect
155. #19099096C22semidirect
156. #19099096C22semidirect
157. #19099096C22semidirect
158. #19099094C22semidirect
159. #19099093C22semidirect
160. #19099093C22semidirect
161. #19099090C22semidirect
162. #19099090C22semidirect
163. #19099090C22semidirect
164. #19099090C22semidirect
165. C2×#14579156C22semidirect
166. #126×D79C22semidirect
167. C2×#14579151C22semidirect
168. #125×D79C22semidirect
169. #19099076C22semidirect
170. #19099076C22semidirect
171. #19099074C22semidirect
172. #19099073C22semidirect
173. #19099072C22semidirect
174. #19099072C22semidirect
175. #19099071C22semidirect
176. #19099071C22semidirect
177. C2×#14579146C22semidirect
178. C2×#14579144C22semidirect
179. #123×D79C22semidirect
180. #123×D79C22semidirect
181. C2×#14579140C22semidirect
182. C2×#14579139C22semidirect
183. C22⋊Q8×D79C22semidirect
184. C22⋊Q8×D79C22semidirect
187. #19099044C22semidirect
188. #19099044C22semidirect
189. #19099044C22semidirect
190. #19099044C22semidirect
191. #19099044C22semidirect
192. #19099042C22semidirect
193. #19099042C22semidirect
194. #19099038C22semidirect
196. #19099036C22semidirect
197. #19099036C22semidirect
198. #19099035C22semidirect
199. #19099035C22semidirect
200. C4×#11929624C22semidirect
201. C4×#11929623C22semidirect
202. C4×#11929623C22semidirect
203. C2×#14579126C22semidirect
204. C2×#14579126C22semidirect
205. C2×#14579123C22semidirect
206. C2×#14579123C22semidirect
209. C2×C4×C22⋊D79C22semidirect
210. C2×C4×C22⋊D79C22semidirect
211. C2×C4×C22⋊D79C22semidirect
212. C2×C4×C22⋊D79C22semidirect
213. C4×D4×D79C22semidirect
214. C4×D4×D79C22semidirect
215. C2×#14579120C22semidirect
216. C2×#14579119C22semidirect
217. C2×#14579119C22semidirect
218. C2×C4⋊C4×D79C22semidirect
219. C2×C4⋊C4×D79C22semidirect
220. #539×C79C22semidirect
221. #539×C79C22semidirect
222. #539×C79C22semidirect
223. #539×C79C22semidirect
224. #539×C79C22semidirect
225. #539×C79C22semidirect
226. C2×#126×C79C22semidirect
227. C2×#125×C79C22semidirect
228. C2×#123×C79C22semidirect
229. C2×#123×C79C22semidirect
230. C2×C22⋊Q8×C79C22semidirect
231. C2×C22⋊Q8×C79C22semidirect
233. C2×C4×D4×C79C22semidirect
234. C22×C4⋊C4×C79C22semidirect
692. C2×C22⋊D79#41semidirect
1107. C2×#539D79semidirect
1110. C79#62847semidirect
1215. #539C2×D79semidirect
1216. #539C2×D79semidirect
1217. #539C2×D79semidirect
1218. #539C2×D79semidirect
1219. #539C2×D79semidirect
1220. #539C2×D79semidirect
1256. C2×#126C2×D79semidirect
1259. C2×#125C2×D79semidirect
1272. C2×#123C2×D79semidirect
1273. C2×#123C2×D79semidirect
1278. C2×C22⋊Q8C2×D79semidirect
1279. C2×C22⋊Q8C2×D79semidirect
1311. C2×C4×D4C2×D79semidirect
1317. C22×C4⋊C4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774602
#237774582
#237774432
#237774412
#237773722
#237773702
#237773322
#237773302
#237772602
#237772412
#237772342
#237772322
#237771962
#237771572
#237771052
#237770962
#237770942
#237770382
#237768302
#237768092
#237768082
#237767862
C2×#190991602
#539×D792
C4×#145792062
C2×#190990442
C2×#539×C792
#6284779