Finite Group Databasebeta

← #35201910

Subgroups — #35201910

Order 20224.

6916 conjugacy classes of subgroups.

The subgroup lattice has 2156 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777962C212yesmaximal, complemented
2#23777945C214yesmaximal, complemented
3#23777940C214yesmaximal, complemented
4#23777931C212yesmaximal, complemented
5#23777928C212yesmaximal, complemented
6#23777836C214yesmaximal, complemented
7#23777815C212yesmaximal, complemented
8#23777810C211yesmaximal, characteristic, complemented
9#23777755C211yesmaximal, characteristic, complemented
10#23777738C212yesmaximal, complemented
11#23777735C212yesmaximal, complemented
12#23777680C214yesmaximal, complemented
13#23777640C212yesmaximal, complemented
14#23777605C214yesmaximal, complemented
15#23777602C214yesmaximal, complemented
16#23777565C212yesmaximal, complemented
17#23777561C212yesmaximal, complemented
18#23777540C211yesmaximal, characteristic, complemented
19C2×#19099313C211yesmaximal, characteristic, complemented
20#563×D79C211yesmaximal, characteristic, complemented
21#23777461C214yesmaximal, complemented
22#23777366C212yesmaximal, complemented
23#23777190C211yesmaximal, characteristic, complemented
24#23777182C212yesmaximal, complemented
25#23777071C214yesmaximal, complemented
26#23777041C212yesmaximal, complemented
27C79×#3545C211yesmaximal, characteristic, complemented
28C2×#14579209C2211yescharacteristic, complemented
29C2×#14579208C2212yescomplemented
30C2×#14579206C2211yescharacteristic
31C22×#11929623C2212yescomplemented
32#19099317C2212yescomplemented
33#19099317C2212yescomplemented
34#19099316C2212yescomplemented
35#19099315C2214yescomplemented
36#19099315C2214yescomplemented
37#19099314C2214yescomplemented
38#19099314C2214yescomplemented
39#19099313C2212yescomplemented
40#19099313C2211yescharacteristic, complemented
41#19099313C2211yescharacteristic, complemented
42#19099313C2212yescomplemented
43#19099313C2212yescomplemented
44#19099313C2214yescomplemented
45#19099313C2214yescomplemented
46#19099313C2214yescomplemented
47#19099313C2212yescomplemented
48#19099312C2212yescomplemented
49#19099310C2214yescomplemented
50#19099308C2214yescomplemented
51#19099307C2214yescomplemented
52#19099307C2212yescomplemented
53#19099307C2212yescomplemented
54#19099302C2212yescomplemented
55#19099302C2214yescomplemented
56#19099301C2214yescomplemented
57#19099297C2212yescomplemented
58#19099293C2212yescomplemented
59#19099289C2212yescomplemented
60#19099284C2214yescomplemented
61#19099280C2214yescomplemented
62#19099275C2212yescomplemented
63#19099273C2214yescomplemented
64#19099272C2212yescomplemented
65#19099271C2214yescomplemented
66#19099271C2212yescomplemented
67#19099270C2214yescomplemented
68#19099267C2214yescomplemented
69#19099265C2212yescomplemented
70#19099263C2214yescomplemented
71#19099263C2212yescomplemented
72#19099262C2214yescomplemented
73#19099260C2214yescomplemented
74#19099259C2214yescomplemented
75#19099259C2214yescomplemented
76#19099258C2214yescomplemented
77#19099256C2214yescomplemented
78#19099255C2212yescomplemented
79#19099254C2212yescomplemented
80#19099252C2214yescomplemented
81#19099252C2214yescomplemented
82#19099250C2214yescomplemented
83#19099250C2214yescomplemented
84#19099246C2214yescomplemented
85#19099246C2214yescomplemented
86#19099244C2212yescomplemented
87#19099243C2214yescomplemented
88#19099241C2214yescomplemented
89#19099239C2214yescomplemented
90#19099239C2214yescomplemented
91#19099238C2214yescomplemented
92#19099237C2214yescomplemented
93#19099236C2214yescomplemented
94D4×Dic158C2214yescomplemented
95#19099226C2214yescomplemented
96#19099226C2214yescomplemented
97#19099226C2214yescomplemented
98#19099221C2214yescomplemented
99#19099221C2214yescomplemented
100#19099219C2214yescomplemented
101#19099217C2214yescomplemented
102#19099215C2214yescomplemented
103#19099215C2214yescomplemented
104#19099213C2214yes—
105#19099213C2214yescomplemented
106#19099213C2212yescomplemented
107#19099213C2214yescomplemented
108#19099212C2214yescomplemented
109#19099211C2214yescomplemented
110#19099211C2214yescomplemented
111#19099211C2214yescomplemented
112#19099211C2214yescomplemented
113#19099211C2214yescomplemented
114#19099211C2214yescomplemented
115#19099207C2214yescomplemented
116#19099206C2214yescomplemented
117#19099203C2214yescomplemented
118#19099203C2214yescomplemented
119#19099203C2214yescomplemented
120#19099202C2214yes—
121#19099202C2214yescomplemented
122#19099200C2214yes—
123#19099200C2214yes—
124#19099200C2214yescomplemented
125#19099192C2214yescomplemented
126#19099191C2214yescomplemented
127#19099191C2214yescomplemented
128#19099190C2214yescomplemented
129#19099188C2214yescomplemented
130#19099183C2214yescomplemented
131#19099183C2214yescomplemented
132#19099182C2214yescomplemented
133#19099181C2214yescomplemented
134#19099180C2214yescomplemented
135#19099180C2214yescomplemented
136#19099179C2214yescomplemented
137#19099177C2214yescomplemented
138#19099170C2214yescomplemented
139#19099170C2214yescomplemented
140#19099168C2214yescomplemented
141#19099163C2214yescomplemented
142#19099162C2214yescomplemented
143#19099159C2214yescomplemented
144#19099157C2214yescomplemented
145#19099157C2214yescomplemented
146#19099156C2214yescomplemented
147#19099156C2214yescomplemented
148#19099155C2214yescomplemented
149#19099155C2214yescomplemented
150#19099154C2214yescomplemented
151#19099154C2214yescomplemented
152#19099154C2214yescomplemented
153#19099154C2214yescomplemented
154#19099151C2214yescomplemented
155#19099149C2214yescomplemented
156#19099148C2214yescomplemented
157#19099148C2214yescomplemented
158#19099148C2214yescomplemented
159#19099147C2214yescomplemented
160#19099146C2214yescomplemented
161#19099145C2214yescomplemented
162#19099142C2214yescomplemented
163#19099140C2214yescomplemented
164#19099140C2214yescomplemented
165#19099139C2212yescomplemented
166#19099138C2212yescomplemented
167#19099138C2212yescomplemented
168#19099137C2211yescharacteristic, complemented
169#19099135C2212yes—
170#19099135C2212yescomplemented
171#19099135C2214yescomplemented
172#19099135C2214yescomplemented
173#19099133C2211yescharacteristic
174#19099133C2214yescomplemented
175#19099133C2212yescomplemented
176#19099133C2212yescomplemented
177#19099133C2211yescharacteristic, complemented
178#19099131C2211yescharacteristic
179#19099131C2211yescharacteristic, complemented
180#19099130C2211yescharacteristic
181#19099123C2212yes—
182#19099123C2212yescomplemented
183#19099122C2212yescomplemented
184#19099119C2212yescomplemented
185#19099113C2211yescharacteristic, complemented
186#19099112C2211yescharacteristic
187#19099112C2212yescomplemented
188#19099112C2211yescharacteristic, complemented
189#19099112C2212yescomplemented
190#19099109C2212yescomplemented
191C2×#14579159C2212yescomplemented
192C4⋊Q8×D79C2212yescomplemented
193C4⋊Q8×D79C2212yescomplemented
194#19099095C2214yescomplemented
195#19099092C2214yescomplemented
196#19099092C2212yescomplemented
197#19099092C2212yescomplemented
198#19099091C2214yescomplemented
199#19099090C2214yescomplemented
200C2×#14579154C2214yescomplemented
201#126×D79C2214yescomplemented
202C2×#14579153C2212yescomplemented
203#125×D79C2212yescomplemented
204#124×D79C2211yescharacteristic
205#124×D79C2211yescharacteristic, complemented
206#19099072C2214yescomplemented
207#19099069C2212yes—
208#19099069C2214yescomplemented
209#19099069C2212yescomplemented
210#19099069C2214yescomplemented
211C2×#14579145C2212yescomplemented
212C2×#14579142C2212yes—
213#123×D79C2212yes—
214#123×D79C2212yescomplemented
215C2×#14579138C2214yescomplemented
216C2×#14579138C2214yescomplemented
217C22⋊Q8×D79C2214yescomplemented
218#19099042C2214yescomplemented
219#19099036C2212yescomplemented
220C4×#11929624C2211yescharacteristic, complemented
221#19099031C2212yescomplemented
222#563×C79C2211yescharacteristic, complemented
223#562×C79C2212yescomplemented
224H(3,𝔽4)×C79C2211yescharacteristic, complemented
225#555×C79C2212yescomplemented
226#551×C79C2212yescomplemented
227#551×C79C2214yescomplemented
228#546×C79C2214yescomplemented
229#542×C79C2214yescomplemented
230#538×C79C2214yescomplemented
231#536×C79C2212yescomplemented
232#534×C79C2212yes—
233#529×C79C2212yescomplemented
234C2×#124×C79C2211yescharacteristic
235#14579209—44no—
236#14579208—48no—
237#14579206—44no—
238C2×#11929625C2311yescharacteristic
239C2×#11929625C2312yes—
240C2×#11929625C2311yescharacteristic
241C2×#11929624C2311yescharacteristic
242C2×#11929624C2312yes—
243C2×#11929624C2311yescharacteristic
244C2×#11929624C2312yes—
245C2×#11929624C2314yes—
246C2×#11929624C2311yescharacteristic
247C2×#11929623—48no—
248C2×#11929623C2314yes—
249C2×#11929623C2312yes—
250C2×#11929623C2311yescharacteristic
251C2×#11929623C2311yescharacteristic
252C2×#11929623C2312yes—
253C2×#11929623C2314yes—
254C2×#11929623C2314yes—
255C2×#11929623C2314yes—
256C2×#11929623C2312yes—
257C2×#11929623C2314yes—
258C22×Dic158C2312yes—
259C22×Dic158C2314yes—
260C22×Dic158C2312yes—
261C2×Q8×D79C2312yes—
262C2×Q8×D79C2312yes—
263C2×Q8×D79C2312yes—
264C2×Q8×D79C2311yescharacteristic
265C2×Q8×D79C2311yescharacteristic
266C22×C22⋊D79C2312yes—
267C22×C22⋊D79C2312yes—
268C22×C22⋊D79C2312yes—
269C2×D4×D79C2312yes—
270C2×D4×D79C2311yescharacteristic
271C2×D4×D79C2311yescharacteristic
272C23×Dic79C2312yes—
273C23×Dic79C2312yes—
274C22×C4×D79C2312yes—
275#14579161C2312yes—
276#14579161C2312yes—
277#14579161C2311yescharacteristic
278#14579161C2314yes—
279#14579160C2314yes—
280#14579160C2314yes—
281#14579160C2314yes—
282#14579160C2314yes—
283#14579160C2314yes—
284#14579160C2312yes—
285#14579160C2314yes—
286#14579160C2314yes—
287#14579160C2312yes—
288#14579159C2311yescharacteristic
289#14579159C2311yescharacteristic
290#14579159C2312yes—
291#14579159C2312yes—
292#14579159C2314yes—
293#14579159C2314yes—
294#14579159C2314yes—
295#14579159C2312yes—
296#14579159C2312yes—
297#14579159C2312yes—
298#14579158C2311yescharacteristic
299#14579157C2311yescharacteristic
300#14579157C2311yescharacteristic
301#14579157C2312yes—
302#14579156C2314yes—
303#14579156C2314yes—
304#14579156C2314yes—
305#14579156C2314yes—
306#14579156C2314yes—
307#14579156C2314yes—
308#14579156C2314yes—
309#14579155C2314yes—
310#14579155C2314yes—
311#14579154C2314yes—
312#14579154C2314yes—
313#14579154C2314yes—
314#14579154C2314yes—
315#14579154C2314yes—
316#14579154C2314yes—
317#14579154C2314yes—
318#14579154C2314yes—
319#14579154C2314yes—
320#14579154C2314yes—
321#14579154C2314yes—
322#14579154C2314yes—
323#14579154C2314yes—
324#14579154C2314yes—
325#14579154C2314yes—
326#14579154C2314yes—
327#14579154C2314yes—
328#14579153C2312yes—
329#14579153C2312yes—
330#14579153C2314yes—
331#14579153C2314yes—
332#14579153C2314yes—
333#14579153C2314yes—
334#14579153C2314yes—
335#14579153C2312yes—
336#14579153C2312yes—
337#14579152C2314yes—
338#14579152C2314yes—
339#14579152C2314yes—
340#14579152C2314yes—
341#14579152C2312yes—
342#14579152C2312yes—
343#14579151C2314yes—
344#14579151C2314yes—
345#14579151C2314yes—
346#14579151C2314yes—
347#14579151C2314yes—
348#14579151C2314yes—
349#14579151C2314yes—
350#14579150C2311yescharacteristic
351#14579150C2311yescharacteristic
352#14579150C2312yes—
353#14579149C2312yes—
354#14579149C2312yes—
355#14579149C2311yescharacteristic
356#14579149C2311yescharacteristic
357#14579148C2314yes—
358#14579148C2312yes—
359#14579148C2311yescharacteristic
360#14579148C2314yes—
361#14579148C2311yescharacteristic
362#14579147C2314yes—
363#14579147C2314yes—
364#14579147C2314yes—
365#14579147C2314yes—
366#14579147C2314yes—
367#14579147C2314yes—
368#14579147C2314yes—
369#14579147C2314yes—
370#14579147C2314yes—
371#14579146C2314yes—
372#14579146C2314yes—
373#14579146C2314yes—
374#14579146C2314yes—
375#14579146C2314yes—
376#14579146C2314yes—
377#14579146C2314yes—
378#14579145C2314yes—
379#14579145C2314yes—
380#14579145C2314yes—
381#14579145C2312yes—
382#14579145C2314yes—
383#14579145C2314yes—
384#14579145C2312yes—
385#14579145C2314yes—
386#14579145C2312yes—
387#14579145C2312yes—
388#14579144C2314yes—
389#14579144C2314yes—
390#14579144C2314yes—
391#14579144C2312yes—
392#14579144C2314yes—
393#14579144C2312yes—
394#14579143C2314yes—
395#14579143C2314yes—
396#14579143C2314yes—
397#14579143C2314yes—
398#14579143C2314yes—
399#14579143C2314yes—
400#14579143C2314yes—
401#14579143C2314yes—
402#14579143C2314yes—
403#14579143C2314yes—
404#14579143C2314yes—
405#14579143C2314yes—
406#14579143C2314yes—
407#14579143C2314yes—
408#14579143C2314yes—
409#14579142C2314yes—
410#14579142C2314yes—
411#14579142C2314yes—
412#14579142C2314yes—
413#14579142C2314yes—
414#14579142C2314yes—
415#14579142C2314yes—
416#14579142C2312yes—
417#14579142C2312yes—
418#14579142C2312yes—
419#14579142C2312yes—
420#14579141C2314yes—
421#14579141C2314yes—
422#14579141C2314yes—
423#14579141C2314yes—
424#14579141C2314yes—
425#14579140C2314yes—
426#14579140C2314yes—
427#14579140C2314yes—
428#14579140C2314yes—
429#14579139C2314yes—
430#14579139C2314yes—
431#14579139C2314yes—
432#14579139C2314yes—
433#14579139C2314yes—
434#14579139C2314yes—
435#14579139C2314yes—
436#14579139C2314yes—
437#14579139C2314yes—
438#14579139C2314yes—
439#14579139C2314yes—
440#14579138C2314yes—
441#14579138C2314yes—
442#14579138C2314yes—
443#14579138C2314yes—
444#14579138C2314yes—
445#14579138C2314yes—
446#14579138C2314yes—
447#14579138C2314yes—
448#14579138C2314yes—
449#14579138C2314yes—
450#14579138C2314yes—
451#14579138C2314yes—
452#14579138C2314yes—
453#14579138C2314yes—
454#14579138C2314yes—
455#14579138C2314yes—
456#14579138C2314yes—
457#14579138C2314yes—
458#14579138C2314yes—
459#14579138C2314yes—
460#14579138C2314yes—
461#14579138C2314yes—
462#14579138C2314yes—
463#14579138C2314yes—
464#14579138C2314yes—
465#14579138C2314yes—
466#14579137C2314yes—
467#14579137C2314yes—
468#14579137C2312yes—
469#14579137C2314yes—
470#14579137C2314yes—
471#14579137C2312yes—
472#14579135C2314yes—
473#14579135C2314yes—
474#14579135C2314yes—
475#14579134C2314yes—
476#14579134C2314yes—
477#14579134C2314yes—
478#14579134C2314yes—
479#14579134C2314yes—
480#14579134C2314yes—
481#14579134C2314yes—
482#14579134C2314yes—
483#14579134C2314yes—
484#14579134C2314yes—
485#14579134C2314yes—
486#14579133C2314yes—
487#14579133C2314yes—
488#14579133C2314yes—
489#14579133C2314yes—
490#14579133C2314yes—
491#14579133C2314yes—
492#14579133C2314yes—
493#14579133C2314yes—
494#14579133C2314yes—
495#14579133C2314yes—
496#14579133C2314yes—
497#14579133C2314yes—
498#14579132C2312yes—
499#14579132C2314yes—
500#14579132C2314yes—
501#14579132C2312yes—
502#14579132C2314yes—
503#14579132C2314yes—
504#14579132C2314yes—
505#14579131C2314yes—
506#14579131C2314yes—
507#14579130C2312yes—
508#14579130C2314yes—
509#14579130C2314yes—
510#14579130C2312yes—
511#14579129C2314yes—
512#14579129C2314yes—
513#14579129C2314yes—
514Q8×Dic79C2312yes—
515Q8×Dic79C2312yes—
516C4×Dic158C2312yes—
517C4×Dic158C2314yes—
518C4×Dic158C2314yes—
519#14579126C2314yes—
520#14579126C2314yes—
521#14579126C2314yes—
522#14579126C2314yes—
523C4×D316C2314yes—
524C4×D316C2312yes—
525C4×D316C2314yes—
526C4×D316C2314yes—
527D4×Dic79C2312yes—
528D4×Dic79C2314yes—
529D4×Dic79C2314yes—
530D4×Dic79C2314yes—
531D4×Dic79C2314yes—
532D4×Dic79C2314yes—
533D4×Dic79C2312yes—
534#14579123C2314yes—
535C4×C22⋊D79C2314yes—
536C4×C22⋊D79C2314yes—
537C4×C22⋊D79C2314yes—
538C4×C22⋊D79C2314yes—
539C4×C22⋊D79C2314yes—
540C4×C22⋊D79C2312yes—
541C4×C22⋊D79C2314yes—
542C4×C22⋊D79C2314yes—
543C4×C22⋊D79C2314yes—
544C4×C22⋊D79C2312yes—
545(C22⋊D79)⋊C4C2314yes—
546(C22⋊D79)⋊C4C2314yes—
547(C22⋊D79)⋊C4C2314yes—
548(C22⋊D79)⋊C4C2314yes—
549(C22⋊D79)⋊C4C2314yes—
550(C22⋊D79)⋊C4C2314yes—
551(C22⋊D79)⋊C4C2314yes—
552(C22⋊D79)⋊C4C2314yes—
553(C22⋊D79)⋊C4C2314yes—
554(C22⋊D79)⋊C4C2314yes—
555(C22⋊D79)⋊C4C2314yes—
556(C22⋊D79)⋊C4C2314yes—
557(C22⋊D79)⋊C4C2314yes—
558(C22⋊D79)⋊C4C2314yes—
559#14579120C2311yescharacteristic
560#14579120C2314yes—
561#14579120C2314yes—
562#14579119C2312yes—
563#14579119C2312yes—
564#14579119C2314yes—
565#14579118C2312yes—
566#14579118C2312yes—
567#14579118C2314yes—
568#14579118C2314yes—
569#14579118C2311yescharacteristic
570#14579118C2311yescharacteristic
571#14579117C2314yes—
572#14579117C2312yes—
573#14579117C2314yes—
574#14579117C2314yes—
575#14579117C2314yes—
576#14579117C2312yes—
577C2×C4⋊Dic79C2314yes—
578C2×C4⋊Dic79C2314yes—
579C2×C4⋊Dic79C2312yes—
580C2×C4⋊Dic79C2312yes—
581C2×Dic79⋊C4C2314yes—
582C2×Dic79⋊C4C2314yes—
583C2×Dic79⋊C4C2314yes—
584C2×Dic79⋊C4C2314yes—
585C2×Dic79⋊C4C2314yes—
586C4⋊C4×D79C2314yes—
587C4⋊C4×D79C2314yes—
588C4⋊C4×D79C2314yes—
589C4⋊C4×D79C2314yes—
590C4⋊C4×D79C2312yes—
591C4⋊C4×D79C2314yes—
592C4⋊C4×D79C2314yes—
593C4⋊C4×D79C2312yes—
594C2×C22⋊Dic79C2314yes—
595C2×C22⋊Dic79C2312yes—
596C2×C22⋊Dic79C2314yes—
597C2×(C2×D79)⋊C4C2314yes—
598C22⋊C4×D79C2314yes—
599C22⋊C4×D79C2314yes—
600C22⋊C4×D79C2312yes—
601C22⋊C4×D79C2314yes—
602C22⋊C4×D79C2314yes—
603C22⋊C4×D79C2312yes—
604C2×C4×Dic79C2312yes—
605C42×D79C2312yes—
606C42×D79C2312yes—
607C42×D79C2311yescharacteristic
608C42×D79C2311yescharacteristic
609C2×#41×C79C2312yes—
610C22×Q8×C79C2311yescharacteristic
611C22×D4×C79C2311yescharacteristic
612C22×D4×C79C2312yes—
613C4⋊Q8×C79C2312yes—
614C4⋊Q8×C79C2312yes—
615#126×C79C2314yes—
616#126×C79C2314yes—
617#126×C79C2314yes—
618#125×C79C2312yes—
619#124×C79C2314yes—
620#124×C79C2312yes—
621#124×C79C2314yes—
622#124×C79C2314yes—
623#124×C79C2311yescharacteristic
624#124×C79C2311yescharacteristic
625#124×C79C2311yescharacteristic
626#124×C79C2311yescharacteristic
627#124×C79C2312yes—
628#124×C79C2312yes—
629#123×C79C2314yes—
630#123×C79C2312yes—
631#123×C79C2314yes—
632#123×C79C2314yes—
633#123×C79C2314yes—
634#123×C79C2314yes—
635#123×C79C2312yes—
636C22⋊Q8×C79C2314yes—
637C22⋊Q8×C79C2312yes—
638C22⋊Q8×C79C2314yes—
639C22⋊Q8×C79C2314yes—
640C22⋊Q8×C79C2314yes—
641#121×C79C2312yes—
642#121×C79C2314yes—
643#121×C79C2314yes—
644#121×C79C2314yes—
645#121×C79C2314yes—
646#120×C79C2312yes—
647#120×C79C2314yes—
648#120×C79C2314yes—
649#120×C79C2312yes—
650C4×Q8×C79C2312yes—
651C4×D4×C79C2314yes—
652C4×D4×C79C2314yes—
653C4×D4×C79C2314yes—
654C4×D4×C79C2312yes—
655#117×C79C2312yes—
656#117×C79C2314yes—
657#117×C79C2314yes—
658C2×C22⋊C4×C79C2314yes—
659C2×C22⋊C4×C79C2314yes—
660C2×C22⋊C4×C79C2312yes—
661C2×C42×C79C2311yescharacteristic
662C23×D79C2412yes—
663C23×D79C2412yes—
664#11929625—42no—
665#11929625—42no—
666#11929625—44no—
667#11929624—24no—
668#11929624—28no—
669#11929624—42no—
670#11929624—44no—
671#11929624—42no—
672#11929624—48no—
673#11929623—216no—
674#11929623—48no—
675#11929623—42no—
676#11929623—44no—
677#11929623—48no—
678#11929623—48no—
679#11929623—48no—
680#11929623—44no—
681#11929623—42no—
682#11929623—44no—
683C2×Dic158—44no—
684C2×Dic158—44no—
685C2×Dic158—48no—
686C2×Dic158C2412yes—
687C2×Dic158C2411yescharacteristic
688C2×Dic158C2414yes—
689C2×Dic158C2412yes—
690C2×Dic158C2411yescharacteristic
691C2×Dic158C2412yes—
692C2×Dic158C2412yes—
693C2×Dic158C2414yes—
694C2×Dic158C2414yes—
695C2×Dic158C2414yes—
696C2×Dic158C2411yescharacteristic
697C2×Dic158C2414yes—
698Q8×D79—44no—
699Q8×D79—42no—
700Q8×D79—44no—
701Q8×D79—44no—
702Q8×D79—42no—
703C2×D316C2412yes—
704C2×D316C2411yescharacteristic
705C2×D316C2412yes—
706C2×D316C2411yescharacteristic
707C2×D316C2411yescharacteristic
708C2×D316C2414yes—
709C2×C22⋊D79—28no—
710C2×C22⋊D79—44no—
711C2×C22⋊D79—44no—
712C2×C22⋊D79C2414yes—
713C2×C22⋊D79C2412yes—
714C2×C22⋊D79C2412yes—
715C2×C22⋊D79C2412yes—
716C2×C22⋊D79C2412yes—
717C2×C22⋊D79C2411yescharacteristic
718C2×C22⋊D79C2414yes—
719C2×C22⋊D79C2414yes—
720C2×C22⋊D79C2412yes—
721C2×C22⋊D79C2412yes—
722C2×C22⋊D79C2414yes—
723C2×C22⋊D79C2414yes—
724C2×C22⋊D79C2414yes—
725C2×C22⋊D79C2414yes—
726C2×C22⋊D79C2414yes—
727C2×C22⋊D79C2411yescharacteristic
728D4×D79—42no—
729D4×D79—44no—
730D4×D79—42no—
731C22×Dic79—44no—
732C22×Dic79—44no—
733C22×Dic79C2414yes—
734C22×Dic79C2414yes—
735C22×Dic79C2412yes—
736C22×Dic79C2414yes—
737C22×Dic79C2412yes—
738C22×Dic79C2414yes—
739C22×Dic79C2414yes—
740C22×Dic79C2412yes—
741C22×Dic79C2414yes—
742C22×Dic79C2414yes—
743C22×Dic79C2412yes—
744C2×C4×D79—44no—
745C2×C4×D79C2412yes—
746C2×C4×D79C2412yes—
747C2×C4×D79C2414yes—
748C2×C4×D79C2411yescharacteristic
749C2×C4×D79C2411yescharacteristic
750C2×C4×D79C2414yes—
751C2×C4×D79C2412yes—
752C2×C4×D79C2412yes—
753C2×C4×D79C2412yes—
754C2×C4×D79C2414yes—
755C2×C4×D79C2412yes—
756C2×C4×D79C2412yes—
757C2×C4×D79C2414yes—
758C2×C4×D79C2412yes—
759C2×C4×D79C2414yes—
760C2×C4×D79C2414yes—
761C4⋊Dic79C2412yes—
762C4⋊Dic79C2414yes—
763C4⋊Dic79C2414yes—
764C4⋊Dic79C2414yes—
765C4⋊Dic79C2414yes—
766C4⋊Dic79C2412yes—
767C4⋊Dic79C2414yes—
768C4⋊Dic79C2414yes—
769C4⋊Dic79C2414yes—
770C4⋊Dic79C2414yes—
771C4⋊Dic79C2412yes—
772C4⋊Dic79C2412yes—
773C4⋊Dic79C2414yes—
774C4⋊Dic79C2414yes—
775C4⋊Dic79C2414yes—
776C4⋊Dic79C2412yes—
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⋊C4C2412yes—
790Dic79⋊C4C2414yes—
791Dic79⋊C4C2414yes—
792Dic79⋊C4C2414yes—
793Dic79⋊C4C2414yes—
794Dic79⋊C4C2414yes—
795Dic79⋊C4C2414yes—
796Dic79⋊C4C2414yes—
797Dic79⋊C4C2414yes—
798Dic79⋊C4C2414yes—
799Dic79⋊C4C2414yes—
800Dic79⋊C4C2414yes—
801Dic79⋊C4C2414yes—
802Dic79⋊C4C2412yes—
803Dic79⋊C4C2414yes—
804Dic79⋊C4C2414yes—
805C22⋊Dic79C2412yes—
806C22⋊Dic79C2412yes—
807C22⋊Dic79C2414yes—
808C22⋊Dic79C2414yes—
809C22⋊Dic79C2414yes—
810C22⋊Dic79C2414yes—
811C22⋊Dic79C2414yes—
812C22⋊Dic79C2414yes—
813C22⋊Dic79C2414yes—
814C22⋊Dic79C2414yes—
815C22⋊Dic79C2414yes—
816C22⋊Dic79C2412yes—
817C22⋊Dic79C2414yes—
818C22⋊Dic79C2414yes—
819C22⋊Dic79C2414yes—
820C22⋊Dic79C2414yes—
821(C2×D79)⋊C4C2414yes—
822(C2×D79)⋊C4C2414yes—
823(C2×D79)⋊C4C2414yes—
824(C2×D79)⋊C4C2414yes—
825(C2×D79)⋊C4C2414yes—
826(C2×D79)⋊C4C2414yes—
827(C2×D79)⋊C4C2414yes—
828(C2×D79)⋊C4C2414yes—
829(C2×D79)⋊C4C2414yes—
830(C2×D79)⋊C4C2414yes—
831(C2×D79)⋊C4C2414yes—
832(C2×D79)⋊C4C2412yes—
833(C2×D79)⋊C4C2414yes—
834(C2×D79)⋊C4C2412yes—
835(C2×D79)⋊C4C2414yes—
836(C2×D79)⋊C4C2414yes—
837(C2×D79)⋊C4C2414yes—
838(C2×D79)⋊C4C2414yes—
839C4×Dic79C2412yes—
840C4×Dic79C2411yescharacteristic
841C4×Dic79C2414yes—
842C4×Dic79C2412yes—
843C4×Dic79C2411yescharacteristic
844C4×Dic79C2414yes—
845C4×Dic79C2412yes—
846C4×Dic79C2414yes—
847C4×Dic79C2412yes—
848C4×Dic79C2414yes—
849C4×Dic79C2414yes—
850C4×Dic79C2414yes—
851C4×Dic79C2414yes—
852C24×C79C2412yes—
853C24×C79C2412yes—
854#41×C79—44no—
855C2×Q8×C79—42no—
856C2×Q8×C79C2412yes—
857C2×Q8×C79C2411yescharacteristic
858C2×Q8×C79C2412yes—
859C2×Q8×C79C2411yescharacteristic
860C2×Q8×C79C2412yes—
861C2×D4×C79—42no—
862C2×D4×C79—44no—
863C2×D4×C79C2414yes—
864C2×D4×C79C2412yes—
865C2×D4×C79C2414yes—
866C2×D4×C79C2411yescharacteristic
867C2×D4×C79C2412yes—
868C2×D4×C79C2411yescharacteristic
869C2×D4×C79C2414yes—
870C2×D4×C79C2414yes—
871C2×D4×C79C2412yes—
872C22×C4×C79C2412yes—
873C22×C4×C79C2411yescharacteristic
874C22×C4×C79C2414yes—
875C22×C4×C79C2412yes—
876C22×C4×C79C2412yes—
877C22×C4×C79C2414yes—
878C22×C4×C79C2414yes—
879C4⋊C4×C79C2414yes—
880C4⋊C4×C79C2414yes—
881C4⋊C4×C79C2414yes—
882C4⋊C4×C79C2414yes—
883C4⋊C4×C79C2414yes—
884C4⋊C4×C79C2414yes—
885C4⋊C4×C79C2412yes—
886C4⋊C4×C79C2412yes—
887C4⋊C4×C79C2414yes—
888C22⋊C4×C79C2414yes—
889C22⋊C4×C79C2414yes—
890C22⋊C4×C79C2414yes—
891C22⋊C4×C79C2414yes—
892C22⋊C4×C79C2414yes—
893C22⋊C4×C79C2414yes—
894C22⋊C4×C79C2412yes—
895C22⋊C4×C79C2412yes—
896C22⋊C4×C79C2414yes—
897C22⋊C4×C79C2414yes—
898C22⋊C4×C79C2414yes—
899C22⋊C4×C79C2414yes—
900C22⋊C4×C79C2414yes—
901C22⋊C4×C79C2414yes—
902C22⋊C4×C79C2414yes—
903C42×C79C2411yescharacteristic
904C42×C79C2412yes—
905C42×C79C2411yescharacteristic
906C42×C79C2412yes—
907C42×C79C2414yes—
908C42×C79C2412yes—
909C23×C79—24no—
910C23×C79—42no—
911C23×C79—44no—
912C23×C79—44no—
913C23×C79C2512yes—
914C23×C79C2512yes—
915C23×C79C2514yes—
916C23×C79C2511yescharacteristic
917C22×D79—24no—
918C22×D79—44no—
919C22×D79—42no—
920C22×D79—44no—
921C22×D79C2512yes—
922C22×D79C2511yescharacteristic
923C22×D79C2512yes—
924C22×D79C2511yescharacteristic
925Q8×C79—42no—
926Q8×C79—41no—
927Q8×C79—42no—
928Q8×C79—41no—
929Q8×C79—42no—
930D4×C79—28no—
931D4×C79—42no—
932D4×C79—41no—
933D4×C79—41no—
934D4×C79—44no—
935D4×C79—42no—
936D4×C79—44no—
937D4×C79—42no—
938D4×C79—44no—
939C2×C4×C79—24no—
940C2×C4×C79—22no—
941C2×C4×C79—42no—
942C2×C4×C79—44no—
943C2×C4×C79—44no—
944C2×C4×C79—42no—
945C2×C4×C79—44no—
946C2×C4×C79C2514yes—
947C2×C4×C79C2514yes—
948C2×C4×C79C2512yes—
949C2×C4×C79C2512yes—
950C2×C4×C79C2512yes—
951C2×C4×C79C2511yescharacteristic
952C2×C4×C79C2514yes—
953C2×C4×C79C2512yes—
954C2×C4×C79C2511yescharacteristic
955C22⋊D79—24no—
956C22⋊D79—22no—
957C22⋊D79—24no—
958C22⋊D79—24no—
959C22⋊D79—28no—
960C22⋊D79—24no—
961C22⋊D79—42no—
962C22⋊D79—42no—
963C22⋊D79—44no—
964C22⋊D79—44no—
965C22⋊D79—44no—
966C22⋊D79—44no—
967C22⋊D79—44no—
968C22⋊D79—44no—
969C22⋊D79—44no—
970C22⋊D79H(5,𝔽2)14yes—
971C2×Dic79—28no—
972C2×Dic79—24no—
973C2×Dic79—28no—
974C2×Dic79—42no—
975C2×Dic79—42no—
976C2×Dic79—44no—
977C2×Dic79—44no—
978C2×Dic79—44no—
979C2×Dic79—44no—
980C2×Dic79—42no—
981C2×Dic79—44no—
982C2×Dic79C2512yes—
983C2×Dic79C2514yes—
984C2×Dic79C2512yes—
985C2×Dic79C2514yes—
986C2×Dic79C2514yes—
987C2×Dic79C2512yes—
988C2×Dic79C2512yes—
989C2×Dic79C2511yescharacteristic
990C2×Dic79C2514yes—
991C2×Dic79C2511yescharacteristic
992D316—22no—
993D316—24no—
994D316—41no—
995D316—44no—
996D316—41no—
997D316—42no—
998C4×D79—28no—
999C4×D79—22no—
1000C4×D79—24no—
1001C4×D79—22no—
1002C4×D79—24no—
1003C4×D79—44no—
1004C4×D79—42no—
1005C4×D79—44no—
1006C4×D79—44no—
1007C4×D79—42no—
1008C4×D79—44no—
1009C4×D79—42no—
1010C4×D79—44no—
1011C4×D79—42no—
1012C4×D79—42no—
1013C4×D79—42no—
1014Dic158—24no—
1015Dic158—22no—
1016Dic158—28no—
1017Dic158—42no—
1018Dic158—41no—
1019Dic158—42no—
1020Dic158—44no—
1021Dic158—42no—
1022Dic158—44no—
1023Dic158—44no—
1024Dic158—44no—
1025Dic158—41no—
1026C22×C79—22no—
1027C22×C79—22no—
1028C22×C79—24no—
1029C22×C79—22no—
1030C22×C79—24no—
1031C22×C79—24no—
1032C22×C79—24no—
1033C22×C79—24no—
1034C22×C79—84no—
1035C22×C79—84no—
1036C22×C79C2×H(5,𝔽2)12yes—
1037C22×C79C2611yescharacteristic
1038C2×D79—22no—
1039C2×D79—22no—
1040C2×D79—21no—
1041C2×D79—22no—
1042C2×D79—24no—
1043C2×D79—22no—
1044C2×D79—24no—
1045C2×D79—84no—
1046C2×D79—162no—
1047C2×D79C2×H(5,𝔽2)12yes—
1048C4×C79—22no—
1049C4×C79—21no—
1050C4×C79—21no—
1051C4×C79—22no—
1052C4×C79—24no—
1053C4×C79—22no—
1054C4×C79—24no—
1055C4×C79—22no—
1056C4×C79—24no—
1057Dic79—22no—
1058Dic79—21no—
1059Dic79—24no—
1060Dic79—22no—
1061Dic79—24no—
1062Dic79—22no—
1063Dic79—24no—
1064Dic79—22no—
1065Dic79—24no—
1066Dic79C2×H(5,𝔽2)12yes—
1067#63063—791nomaximal, Sylow
1068C2×C79—22no—
1069C2×C79—42no—
1070C2×C79—42no—
1071C2×C79—44no—
1072C2×C79C22×H(5,𝔽2)11yescharacteristic
1073C2×C792−1+612yes—
1074D79—22no—
1075D79—42no—
1076D79—42no—
1077D79—41no—
1078#3561—792no—
1079#3560—794no—
1080#3560—794no—
1081#3559—792no—
1082#3559—792no—
1083#3552—794no—
1084#3551—792no—
1085#3550—791no—
1086#3545—791no—
1087#3545D7911yescharacteristic, complemented
1088#3544—792no—
1089#3544—792no—
1090#3541—794no—
1091#3538—792no—
1092#3535—794no—
1093#3535—794no—
1094#3533—792no—
1095#3533—792no—
1096#3529—791no—
1097C2×#563—791no—
1098C2×#563—791no—
1099#3521—794no—
1100#3515—792no—
1101#3500—791no—
1102#3499—792no—
1103#3489—794no—
1104#3485—792no—
1105C79#6306311yescharacteristic, complemented, Sylow
1106C2×2−1+4—792no—
1107C2×2−1+4—791no—
1108C2×H(5,𝔽2)—791no—
1109C22×#41—792no—
1110#563—792no—
1111#563—794no—
1112#563—794no—
1113#563—792no—
1114#563—792no—
1115#563—791no—
1116#563—792no—
1117#563—794no—
1118#563—792no—
1119#563—791no—
1120#563—794no—
1121#563—792no—
1122#563—792no—
1123#563—794no—
1124#563—792no—
1125#563—794no—
1126#563—794no—
1127#563C2×D7911yescharacteristic, complemented
1128#562—794no—
1129#562—792no—
1130#562—792no—
1131#562—794no—
1132#562—794no—
1133#562C2×D7912yescomplemented
1134H(3,𝔽4)C2×D7911yescharacteristic, complemented
1135#560—794no—
1136#560—792no—
1137#560—794no—
1138#559—792no—
1139Q82—792no—
1140#557—792no—
1141#556—794no—
1142#556—794no—
1143#555—792no—
1144#555C2×D7912yescomplemented
1145#554—794no—
1146#554—792no—
1147#554—794no—
1148#554—794no—
1149#554—794no—
1150#554—792no—
1151#553—794no—
1152#553—794no—
1153#553—794no—
1154#553—792no—
1155#553—794no—
1156#553—794no—
1157#553—794no—
1158#553—792no—
1159#553—794no—
1160#552—794no—
1161#552—794no—
1162#552—792no—
1163#552—792no—
1164#552—794no—
1165#552—794no—
1166#552—794no—
1167#552—794no—
1168#551—794no—
1169#551—794no—
1170#551—794no—
1171#551—794no—
1172#551—792no—
1173#551—794no—
1174#551—794no—
1175#551—794no—
1176#551C2×D7914yescomplemented
1177#551C2×D7912yescomplemented
1178D4×Q8—794no—
1179D4×Q8—794no—
1180D4×Q8—794no—
1181D4×Q8—794no—
1182#548—794no—
1183#548—794no—
1184#548—794no—
1185#547—794no—
1186#547—794no—
1187#547—794no—
1188#547—794no—
1189#547—794no—
1190#547—794no—
1191#547—794no—
1192#547—794no—
1193#547—794no—
1194#547—794no—
1195#547—794no—
1196#547—792no—
1197#547—794no—
1198#547—794no—
1199#546—794no—
1200#546—794no—
1201#546—794no—
1202#546—794no—
1203#546—794no—
1204#546—794no—
1205#546—794no—
1206#546—794no—
1207#546—794no—
1208#546—794no—
1209#546C2×D7914yescomplemented
1210#544—794no—
1211#544—794no—
1212#544—794no—
1213#544—794no—
1214#543—794no—
1215#542—794no—
1216#542—794no—
1217#542—794no—
1218#542—794no—
1219#542—794no—
1220#542—794no—
1221#542—794no—
1222#542—794no—
1223#542C2×D7914yescomplemented
1224#541—794no—
1225#541—794no—
1226#540—794no—
1227#540—794no—
1228#539—794no—
1229#539—794no—
1230#539—794no—
1231#539—794no—
1232#539—794no—
1233#539—794no—
1234#539—794no—
1235#539—794no—
1236#539—794no—
1237#539—794no—
1238#539—794no—
1239#539—794no—
1240#538—794no—
1241#538—794no—
1242#538—794no—
1243#538—794no—
1244#538—794no—
1245#538—794no—
1246#538—794no—
1247#538—794no—
1248#538C2×D7914yescomplemented
1249#537—794no—
1250#537—794no—
1251#537—794no—
1252#536—791no—
1253#536—792no—
1254#536—792no—
1255#536—794no—
1256#536—792no—
1257#536—792no—
1258#536—791no—
1259#536—791no—
1260#536—792no—
1261#536—792no—
1262#536—794no—
1263#536—794no—
1264#536—792no—
1265#536C2×D7912yescomplemented
1266#535—791no—
1267#535—791no—
1268#535—791no—
1269#534—792no—
1270#534—792no—
1271#534—792no—
1272#534C2×D7912yes—
1273#533—792no—
1274#532—792no—
1275#532—792no—
1276#532—792no—
1277#532—791no—
1278#532—791no—
1279#532—791no—
1280C2×C4⋊Q8—792no—
1281C2×C4⋊Q8—792no—
1282C2×C4⋊Q8—792no—
1283#529—792no—
1284#529—792no—
1285#529—794no—
1286#529—794no—
1287#529—794no—
1288#529—794no—
1289#529C2×D7912yescomplemented
1290C2×#126—794no—
1291C2×#126—794no—
1292C2×#125—792no—
1293C2×#125—792no—
1294C2×#124—791no—
1295C2×#124—791no—
1296C2×#124C2×D7911yescharacteristic
1297#525—792no—
1298#525—792no—
1299#525—794no—
1300#525—794no—
1301#525—794no—
1302C2×#123—792no—
1303C2×#123—792no—
1304C2×#123—792no—
1305C2×#123—792no—
1306C2×C22⋊Q8—794no—
1307C2×C22⋊Q8—794no—
1308C2×C22⋊Q8—794no—
1309#520—794no—
1310#518—792no—
1311C4×#41—792no—
1312C4×#41—791no—
13132−1+4—3164no—
13142−1+4—3168no—
1315H(5,𝔽2)—3164no—
1316C2×#41—3168no—
1317C2×#41—791no—
1318C2×#41—791no—
1319C2×#41—792no—
1320C2×#41—791no—
1321C2×#41—792no—
1322C2×#41—792no—
1323C2×#41—794no—
1324C2×#41—792no—
1325C2×#41—791no—
1326C2×#41—794no—
1327C2×#41—794no—
1328C2×#41—794no—
1329C2×#41—794no—
1330C2×#41—794no—
1331C2×#41—791no—
1332C2×#41—792no—
1333C2×#41—791no—
1334C2×#41—792no—
1335C2×#41—791no—
1336C2×#41C22×D7912yes—
1337C22×Q8—792no—
1338C22×Q8—791no—
1339C22×Q8—791no—
1340C22×Q8—792no—
1341C22×Q8—792no—
1342C22×Q8—792no—
1343C22×Q8—794no—
1344C22×Q8—792no—
1345C22×Q8C22×D7911yescharacteristic
1346C22×D4—792no—
1347C22×D4—792no—
1348C22×D4—791no—
1349C22×D4—792no—
1350C22×D4—791no—
1351C22×D4—792no—
1352C22×D4C22×D7911yescharacteristic
1353C22×D4C22×D7912yes—
1354C23×C4—792no—
1355C23×C4—792no—
1356C23×C4—792no—
1357C4⋊Q8—792no—
1358C4⋊Q8—792no—
1359C4⋊Q8—792no—
1360C4⋊Q8—792no—
1361C4⋊Q8—792no—
1362C4⋊Q8—794no—
1363C4⋊Q8—794no—
1364C4⋊Q8—791no—
1365C4⋊Q8—791no—
1366C4⋊Q8—794no—
1367C4⋊Q8—794no—
1368C4⋊Q8—794no—
1369C4⋊Q8—794no—
1370C4⋊Q8—794no—
1371C4⋊Q8—792no—
1372C4⋊Q8—792no—
1373C4⋊Q8—794no—
1374C4⋊Q8—794no—
1375C4⋊Q8—794no—
1376C4⋊Q8—792no—
1377C4⋊Q8—792no—
1378C4⋊Q8—791no—
1379C4⋊Q8—794no—
1380C4⋊Q8C22×D7912yes—
1381C4⋊Q8C22×D7912yes—
1382#127—792no—
1383#127—791no—
1384#127—791no—
1385#127—791no—
1386#126—794no—
1387#126—794no—
1388#126—794no—
1389#126—794no—
1390#126—794no—
1391#126—794no—
1392#126—794no—
1393#126—794no—
1394#126—794no—
1395#126—794no—
1396#126—794no—
1397#126—794no—
1398#126—794no—
1399#126—794no—
1400#126—794no—
1401#126—794no—
1402#126—794no—
1403#126—794no—
1404#126—794no—
1405#126—794no—
1406#126—794no—
1407#126—794no—
1408#126—794no—
1409#126—794no—
1410#126—794no—
1411#126—794no—
1412#126C22×D7914yes—
1413#126C22×D7914yes—
1414#126C22×D7914yes—
1415#125—792no—
1416#125—792no—
1417#125—794no—
1418#125—794no—
1419#125—794no—
1420#125—794no—
1421#125—794no—
1422#125—794no—
1423#125—794no—
1424#125—794no—
1425#125—794no—
1426#125—794no—
1427#125—794no—
1428#125—792no—
1429#125—792no—
1430#125—792no—
1431#125—792no—
1432#125—794no—
1433#125—794no—
1434#125—794no—
1435#125—794no—
1436#125—794no—
1437#125C22×D7912yes—
1438#124—791no—
1439#124—791no—
1440#124—792no—
1441#124—791no—
1442#124—791no—
1443#124—794no—
1444#124—792no—
1445#124—794no—
1446#124—794no—
1447#124—794no—
1448#124—794no—
1449#124—794no—
1450#124—794no—
1451#124—794no—
1452#124—794no—
1453#124—794no—
1454#124—794no—
1455#124—791no—
1456#124—791no—
1457#124—792no—
1458#124—792no—
1459#124C22×D7911yescharacteristic
1460#124C22×D7911yescharacteristic
1461#124C22×D7911yescharacteristic
1462#124C22×D7911yescharacteristic
1463#124C22×D7914yes—
1464#124C22×D7912yes—
1465#124C22×D7914yes—
1466#124C22×D7912yes—
1467#124C22×D7912yes—
1468#124C22×D7914yes—
1469#123—792no—
1470#123—792no—
1471#123—792no—
1472#123—792no—
1473#123—794no—
1474#123—794no—
1475#123—794no—
1476#123—794no—
1477#123—794no—
1478#123—794no—
1479#123—794no—
1480#123—792no—
1481#123—792no—
1482#123—794no—
1483#123—794no—
1484#123—794no—
1485#123—794no—
1486#123—794no—
1487#123—794no—
1488#123—794no—
1489#123—794no—
1490#123—794no—
1491#123—794no—
1492#123—794no—
1493#123—792no—
1494#123—792no—
1495#123—792no—
1496#123—792no—
1497#123—794no—
1498#123—794no—
1499#123—794no—
1500#123—794no—
1501#123—794no—
1502#123—794no—
1503#123—794no—
1504#123—794no—
1505#123—794no—
1506#123—794no—
1507#123—794no—
1508#123—794no—
1509#123—794no—
1510#123—794no—
1511#123—794no—
1512#123—794no—
1513#123—794no—
1514#123—794no—
1515#123—794no—
1516#123—794no—
1517#123—794no—
1518#123C22×D7912yes—
1519#123C22×D7912yes—
1520#123C22×D7914yes—
1521#123C22×D7914yes—
1522#123C22×D7914yes—
1523#123C22×D7914yes—
1524#123C22×D7914yes—
1525C22⋊Q8—794no—
1526C22⋊Q8—792no—
1527C22⋊Q8—794no—
1528C22⋊Q8—792no—
1529C22⋊Q8—794no—
1530C22⋊Q8—794no—
1531C22⋊Q8—794no—
1532C22⋊Q8—794no—
1533C22⋊Q8—794no—
1534C22⋊Q8—794no—
1535C22⋊Q8—794no—
1536C22⋊Q8—794no—
1537C22⋊Q8—794no—
1538C22⋊Q8—794no—
1539C22⋊Q8—794no—
1540C22⋊Q8—794no—
1541C22⋊Q8—794no—
1542C22⋊Q8—794no—
1543C22⋊Q8—794no—
1544C22⋊Q8—794no—
1545C22⋊Q8—794no—
1546C22⋊Q8—794no—
1547C22⋊Q8—794no—
1548C22⋊Q8—794no—
1549C22⋊Q8—794no—
1550C22⋊Q8—794no—
1551C22⋊Q8—794no—
1552C22⋊Q8—794no—
1553C22⋊Q8—794no—
1554C22⋊Q8—794no—
1555C22⋊Q8—794no—
1556C22⋊Q8—794no—
1557C22⋊Q8—794no—
1558C22⋊Q8—794no—
1559C22⋊Q8—794no—
1560C22⋊Q8—794no—
1561C22⋊Q8—794no—
1562C22⋊Q8—794no—
1563C22⋊Q8—794no—
1564C22⋊Q8—794no—
1565C22⋊Q8—794no—
1566C22⋊Q8—794no—
1567C22⋊Q8—794no—
1568C22⋊Q8—794no—
1569C22⋊Q8—794no—
1570C22⋊Q8—794no—
1571C22⋊Q8—794no—
1572C22⋊Q8—794no—
1573C22⋊Q8—794no—
1574C22⋊Q8—794no—
1575C22⋊Q8—794no—
1576C22⋊Q8—794no—
1577C22⋊Q8C22×D7914yes—
1578C22⋊Q8C22×D7912yes—
1579C22⋊Q8C22×D7914yes—
1580C22⋊Q8C22×D7914yes—
1581C22⋊Q8C22×D7914yes—
1582#121—794no—
1583#121—794no—
1584#121—794no—
1585#121—794no—
1586#121—794no—
1587#121—794no—
1588#121—794no—
1589#121—792no—
1590#121—794no—
1591#121—792no—
1592#121—794no—
1593#121—794no—
1594#121—794no—
1595#121—794no—
1596#121—794no—
1597#121—794no—
1598#121—794no—
1599#121—794no—
1600#121—794no—
1601#121—794no—
1602#121—794no—
1603#121—794no—
1604#121—794no—
1605#121—794no—
1606#121—794no—
1607#121—794no—
1608#121—794no—
1609#121—794no—
1610#121—794no—
1611#121—794no—
1612#121—794no—
1613#121—794no—
1614#121—794no—
1615#121C22×D7912yes—
1616#121C22×D7914yes—
1617#121C22×D7914yes—
1618#121C22×D7914yes—
1619#121C22×D7914yes—
1620#120—792no—
1621#120—792no—
1622#120—794no—
1623#120—794no—
1624#120—794no—
1625#120—794no—
1626#120—794no—
1627#120—794no—
1628#120—794no—
1629#120C22×D7912yes—
1630#120C22×D7912yes—
1631#120C22×D7914yes—
1632#120C22×D7914yes—
1633C4×Q8—792no—
1634C4×Q8—792no—
1635C4×Q8—794no—
1636C4×Q8—794no—
1637C4×Q8—794no—
1638C4×Q8—794no—
1639C4×Q8—792no—
1640C4×Q8—794no—
1641C4×Q8—794no—
1642C4×Q8C22×D7912yes—
1643C4×D4—794no—
1644C4×D4—794no—
1645C4×D4—792no—
1646C4×D4—794no—
1647C4×D4—794no—
1648C4×D4—794no—
1649C4×D4—792no—
1650C4×D4—792no—
1651C4×D4—792no—
1652C4×D4—794no—
1653C4×D4—794no—
1654C4×D4—794no—
1655C4×D4—794no—
1656C4×D4—794no—
1657C4×D4—794no—
1658C4×D4—794no—
1659C4×D4—794no—
1660C4×D4—794no—
1661C4×D4—794no—
1662C4×D4—794no—
1663C4×D4—794no—
1664C4×D4—794no—
1665C4×D4—794no—
1666C4×D4—794no—
1667C4×D4—794no—
1668C4×D4—794no—
1669C4×D4—794no—
1670C4×D4—794no—
1671C4×D4—794no—
1672C4×D4—794no—
1673C4×D4—794no—
1674C4×D4—794no—
1675C4×D4—792no—
1676C4×D4—794no—
1677C4×D4—794no—
1678C4×D4—794no—
1679C4×D4C22×D7914yes—
1680C4×D4C22×D7914yes—
1681C4×D4C22×D7914yes—
1682C4×D4C22×D7912yes—
1683#117—791no—
1684#117—794no—
1685#117—794no—
1686#117—794no—
1687#117—792no—
1688#117—792no—
1689#117—792no—
1690#117—792no—
1691#117—794no—
1692#117—794no—
1693#117—794no—
1694#117—794no—
1695#117—791no—
1696#117—791no—
1697#117—792no—
1698#117—792no—
1699#117—794no—
1700#117—794no—
1701#117C22×D7912yes—
1702#117C22×D7914yes—
1703#117C22×D7914yes—
1704C2×C4⋊C4—794no—
1705C2×C4⋊C4—794no—
1706C2×C4⋊C4—792no—
1707C2×C4⋊C4—794no—
1708C2×C4⋊C4—794no—
1709C2×C4⋊C4—794no—
1710C2×C4⋊C4—794no—
1711C2×C4⋊C4—794no—
1712C2×C4⋊C4—792no—
1713C2×C4⋊C4—794no—
1714C2×C4⋊C4—792no—
1715C2×C4⋊C4—794no—
1716C2×C4⋊C4—794no—
1717C2×C4⋊C4—794no—
1718C2×C4⋊C4—792no—
1719C2×C4⋊C4—794no—
1720C2×C4⋊C4—794no—
1721C2×C22⋊C4—792no—
1722C2×C22⋊C4—794no—
1723C2×C22⋊C4—794no—
1724C2×C22⋊C4—794no—
1725C2×C22⋊C4—792no—
1726C2×C22⋊C4—792no—
1727C2×C22⋊C4—794no—
1728C2×C22⋊C4—794no—
1729C2×C22⋊C4—794no—
1730C2×C22⋊C4—794no—
1731C2×C22⋊C4C22×D7912yes—
1732C2×C22⋊C4C22×D7914yes—
1733C2×C22⋊C4C22×D7914yes—
1734C2×C42—792no—
1735C2×C42—791no—
1736C2×C42—791no—
1737C2×C42—792no—
1738C2×C42—792no—
1739C2×C42C22×D7911yescharacteristic
1740C24—792no—
1741C24—792no—
1742C24C23×D7912yes—
1743C24C23×D7912yes—
1744#41—44no—
1745#41—3162no—
1746#41—3162no—
1747#41—3164no—
1748#41—3168no—
1749#41—3168no—
1750#41—3168no—
1751#41—3168no—
1752#41—3164no—
1753#41—3168no—
1754#41—3162no—
1755#41—3164no—
1756#41—3162no—
1757#41—3164no—
1758#41—3162no—
1759#41—3164no—
1760#41—3162no—
1761#41—1584no—
1762#41—1588no—
1763#41—15816no—
1764C2×Q8—42no—
1765C2×Q8—3164no—
1766C2×Q8—3164no—
1767C2×Q8—3168no—
1768C2×Q8—3162no—
1769C2×Q8—3164no—
1770C2×Q8—3164no—
1771C2×Q8—3164no—
1772C2×Q8—3162no—
1773C2×Q8—794no—
1774C2×Q8—794no—
1775C2×Q8—794no—
1776C2×Q8—792no—
1777C2×Q8—794no—
1778C2×Q8—791no—
1779C2×Q8—792no—
1780C2×Q8—792no—
1781C2×Q8—791no—
1782C2×Q8—792no—
1783C2×Q8—794no—
1784C2×Q8—791no—
1785C2×Q8C23×D7912yes—
1786C2×Q8C23×D7912yes—
1787C2×Q8C23×D7912yes—
1788C2×Q8C23×D7911yescharacteristic
1789C2×Q8C23×D7911yescharacteristic
1790C2×D4—42no—
1791C2×D4—44no—
1792C2×D4—3164no—
1793C2×D4—3164no—
1794C2×D4—3164no—
1795C2×D4—3162no—
1796C2×D4—3162no—
1797C2×D4—794no—
1798C2×D4—794no—
1799C2×D4—794no—
1800C2×D4—794no—
1801C2×D4—794no—
1802C2×D4—794no—
1803C2×D4—794no—
1804C2×D4—792no—
1805C2×D4—792no—
1806C2×D4—791no—
1807C2×D4—792no—
1808C2×D4—794no—
1809C2×D4—792no—
1810C2×D4—791no—
1811C2×D4—792no—
1812C2×D4—792no—
1813C2×D4—794no—
1814C2×D4—792no—
1815C2×D4—791no—
1816C2×D4—791no—
1817C2×D4—792no—
1818C2×D4—791no—
1819C2×D4—1588no—
1820C2×D4C23×D7914yes—
1821C2×D4C23×D7914yes—
1822C2×D4C23×D7914yes—
1823C2×D4C23×D7912yes—
1824C2×D4C23×D7914yes—
1825C2×D4C23×D7912yes—
1826C2×D4C23×D7911yescharacteristic
1827C2×D4C23×D7912yes—
1828C2×D4C23×D7911yescharacteristic
1829C22×C4—3164no—
1830C22×C4—3164no—
1831C22×C4—3164no—
1832C22×C4—794no—
1833C22×C4—794no—
1834C22×C4—794no—
1835C22×C4—794no—
1836C22×C4—792no—
1837C22×C4—794no—
1838C22×C4—792no—
1839C22×C4—792no—
1840C22×C4—794no—
1841C22×C4—792no—
1842C22×C4—792no—
1843C22×C4—794no—
1844C22×C4—794no—
1845C22×C4—792no—
1846C22×C4—794no—
1847C22×C4—792no—
1848C22×C4—794no—
1849C22×C4—792no—
1850C22×C4—792no—
1851C22×C4—794no—
1852C22×C4—794no—
1853C22×C4—792no—
1854C22×C4—792no—
1855C22×C4—791no—
1856C22×C4—792no—
1857C22×C4—791no—
1858C22×C4—794no—
1859C22×C4C23×D7912yes—
1860C22×C4C23×D7911yescharacteristic
1861C22×C4C23×D7912yes—
1862C22×C4C23×D7914yes—
1863C22×C4C23×D7914yes—
1864C22×C4C23×D7914yes—
1865C22×C4C23×D7912yes—
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—794no—
1890C4⋊C4—792no—
1891C4⋊C4—794no—
1892C4⋊C4—794no—
1893C4⋊C4—794no—
1894C4⋊C4—794no—
1895C4⋊C4—792no—
1896C4⋊C4—794no—
1897C4⋊C4—794no—
1898C4⋊C4—794no—
1899C4⋊C4—794no—
1900C4⋊C4—794no—
1901C4⋊C4—792no—
1902C4⋊C4—794no—
1903C4⋊C4—794no—
1904C4⋊C4—794no—
1905C4⋊C4—792no—
1906C4⋊C4—792no—
1907C4⋊C4—794no—
1908C4⋊C4—794no—
1909C4⋊C4—792no—
1910C4⋊C4C23×D7914yes—
1911C4⋊C4C23×D7914yes—
1912C4⋊C4C23×D7912yes—
1913C4⋊C4C23×D7912yes—
1914C4⋊C4C23×D7914yes—
1915C4⋊C4C23×D7914yes—
1916C4⋊C4C23×D7914yes—
1917C4⋊C4C23×D7914yes—
1918C4⋊C4C23×D7914yes—
1919C22⋊C4—792no—
1920C22⋊C4—792no—
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—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—794no—
1942C22⋊C4—794no—
1943C22⋊C4—794no—
1944C22⋊C4—794no—
1945C22⋊C4—794no—
1946C22⋊C4—792no—
1947C22⋊C4—792no—
1948C22⋊C4—794no—
1949C22⋊C4—794no—
1950C22⋊C4—794no—
1951C22⋊C4—794no—
1952C22⋊C4—794no—
1953C22⋊C4C23×D7912yes—
1954C22⋊C4C23×D7912yes—
1955C22⋊C4C23×D7914yes—
1956C22⋊C4C23×D7914yes—
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—
1967C22⋊C4C23×D7914yes—
1968C42—792no—
1969C42—791no—
1970C42—794no—
1971C42—792no—
1972C42—794no—
1973C42—794no—
1974C42—792no—
1975C42—791no—
1976C42—792no—
1977C42—794no—
1978C42—794no—
1979C42—794no—
1980C42—794no—
1981C42C23×D7911yescharacteristic
1982C42C23×D7912yes—
1983C42C23×D7912yes—
1984C42C23×D7911yescharacteristic
1985C42C23×D7912yes—
1986C42C23×D7914yes—
1987C23—24no—
1988C23—42no—
1989C23—44no—
1990C23—44no—
1991C23—3164no—
1992C23—3162no—
1993C23—3164no—
1994C23—791no—
1995C23—792no—
1996C23—791no—
1997C23—792no—
1998C23—1584no—
1999C23C24×D7912yes—
2000C23C24×D7912yes—
2001C23C24×D7914yes—
2002C23C24×D7911yescharacteristic
2003Q8—41no—
2004Q8—42no—
2005Q8—41no—
2006Q8—42no—
2007Q8—42no—
2008Q8—3164no—
2009Q8—3161no—
2010Q8—3162no—
2011Q8—3162no—
2012Q8—3162no—
2013Q8—3164no—
2014Q8—3164no—
2015Q8—3161no—
2016Q8—3164no—
2017Q8—1584no—
2018Q8—1588no—
2019Q8—1582no—
2020D4—28no—
2021D4—42no—
2022D4—41no—
2023D4—41no—
2024D4—44no—
2025D4—44no—
2026D4—44no—
2027D4—42no—
2028D4—42no—
2029D4—3161no—
2030D4—3161no—
2031D4—3162no—
2032D4—3164no—
2033D4—3162no—
2034D4—3162no—
2035D4—3164no—
2036D4—3164no—
2037D4—3164no—
2038D4—3164no—
2039D4—3164no—
2040D4—3164no—
2041D4—3164no—
2042D4—794no—
2043D4—1582no—
2044D4—1584no—
2045D4—1584no—
2046D4—1584no—
2047D4—1588no—
2048D4—1582no—
2049D4—1584no—
2050D4—1584no—
2051C2×C4—22no—
2052C2×C4—24no—
2053C2×C4—42no—
2054C2×C4—44no—
2055C2×C4—42no—
2056C2×C4—44no—
2057C2×C4—44no—
2058C2×C4—3164no—
2059C2×C4—3162no—
2060C2×C4—3162no—
2061C2×C4—3162no—
2062C2×C4—3162no—
2063C2×C4—3164no—
2064C2×C4—3164no—
2065C2×C4—3164no—
2066C2×C4—3162no—
2067C2×C4—3164no—
2068C2×C4—3162no—
2069C2×C4—3162no—
2070C2×C4—3162no—
2071C2×C4—3164no—
2072C2×C4—3164no—
2073C2×C4—3162no—
2074C2×C4—3164no—
2075C2×C4—3164no—
2076C2×C4—3164no—
2077C2×C4—791no—
2078C2×C4—792no—
2079C2×C4—794no—
2080C2×C4—794no—
2081C2×C4—792no—
2082C2×C4—792no—
2083C2×C4—794no—
2084C2×C4—791no—
2085C2×C4—792no—
2086C2×C4—794no—
2087C2×C4—1582no—
2088C2×C4—1584no—
2089C2×C4—1588no—
2090C2×C4—1582no—
2091C2×C4—1584no—
2092C2×C4—1584no—
2093C2×C4—1588no—
2094C2×C4—1588no—
2095C2×C4C24×D7914yes—
2096C2×C4C24×D7914yes—
2097C2×C4C24×D7912yes—
2098C2×C4C24×D7912yes—
2099C2×C4C24×D7911yescharacteristic
2100C2×C4C24×D7912yes—
2101C2×C4C24×D7914yes—
2102C2×C4C24×D7912yes—
2103C2×C4C24×D7911yescharacteristic
2104C22—22no—
2105C22—24no—
2106C22—22no—
2107C22—22no—
2108C22—24no—
2109C22—24no—
2110C22—24no—
2111C22—24no—
2112C22—84no—
2113C22—84no—
2114C22—792no—
2115C22—6324no—
2116C22—1582no—
2117C22—1582no—
2118C22—1581no—
2119C22—1584no—
2120C22—1584no—
2121C22—1582no—
2122C22—1582no—
2123C22—12642no—
2124C22H(5,𝔽2)×D7912yes—
2125C22C25×D7911yescharacteristic
2126C4—22no—
2127C4—21no—
2128C4—21no—
2129C4—22no—
2130C4—24no—
2131C4—22no—
2132C4—24no—
2133C4—22no—
2134C4—24no—
2135C4—792no—
2136C4—1584no—
2137C4—1581no—
2138C4—1582no—
2139C4—1584no—
2140C4—1582no—
2141C4—1584no—
2142C4—1582no—
2143C4—1584no—
2144C4—1582no—
2145C2—22no—
2146C2—42no—
2147C2—42no—
2148C2—44no—
2149C2—3162no—
2150C2—3161no—
2151C2—3162no—
2152C2—1582no—
2153C2C2×H(5,𝔽2)×D7911yescharacteristic
2154C2#2377821312yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3545C2
hypercenter#3545D79
hypocenterC79#63063
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3545

Complements

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

NH ≅ G/Ntype
1. #23777962C2semidirect
2. #23777945C2semidirect
3. #23777940C2semidirect
4. #23777931C2semidirect
5. #23777928C2semidirect
6. #23777836C2semidirect
7. #23777815C2semidirect
8. #23777810C2semidirect
9. #23777755C2semidirect
10. #23777738C2semidirect
11. #23777735C2semidirect
12. #23777680C2semidirect
13. #23777640C2semidirect
14. #23777605C2semidirect
15. #23777602C2semidirect
16. #23777565C2semidirect
17. #23777561C2semidirect
18. #23777540C2semidirect
19. C2×#19099313C2semidirect
20. #563×D79C2semidirect
21. #23777461C2semidirect
22. #23777366C2semidirect
23. #23777190C2semidirect
24. #23777182C2semidirect
25. #23777071C2semidirect
26. #23777041C2semidirect
27. C79×#3545C2semidirect
28. C2×#14579209C22semidirect
29. C2×#14579208C22semidirect
31. C22×#11929623C22semidirect
32. #19099317C22semidirect
33. #19099317C22semidirect
34. #19099316C22semidirect
35. #19099315C22semidirect
36. #19099315C22semidirect
37. #19099314C22semidirect
38. #19099314C22semidirect
39. #19099313C22semidirect
40. #19099313C22semidirect
41. #19099313C22semidirect
42. #19099313C22semidirect
43. #19099313C22semidirect
44. #19099313C22semidirect
45. #19099313C22semidirect
46. #19099313C22semidirect
47. #19099313C22semidirect
48. #19099312C22semidirect
49. #19099310C22semidirect
50. #19099308C22semidirect
51. #19099307C22semidirect
52. #19099307C22semidirect
53. #19099307C22semidirect
54. #19099302C22semidirect
55. #19099302C22semidirect
56. #19099301C22semidirect
57. #19099297C22semidirect
58. #19099293C22semidirect
59. #19099289C22semidirect
60. #19099284C22semidirect
61. #19099280C22semidirect
62. #19099275C22semidirect
63. #19099273C22semidirect
64. #19099272C22semidirect
65. #19099271C22semidirect
66. #19099271C22semidirect
67. #19099270C22semidirect
68. #19099267C22semidirect
69. #19099265C22semidirect
70. #19099263C22semidirect
71. #19099263C22semidirect
72. #19099262C22semidirect
73. #19099260C22semidirect
74. #19099259C22semidirect
75. #19099259C22semidirect
76. #19099258C22semidirect
77. #19099256C22semidirect
78. #19099255C22semidirect
79. #19099254C22semidirect
80. #19099252C22semidirect
81. #19099252C22semidirect
82. #19099250C22semidirect
83. #19099250C22semidirect
84. #19099246C22semidirect
85. #19099246C22semidirect
86. #19099244C22semidirect
87. #19099243C22semidirect
88. #19099241C22semidirect
89. #19099239C22semidirect
90. #19099239C22semidirect
91. #19099238C22semidirect
92. #19099237C22semidirect
93. #19099236C22semidirect
94. D4×Dic158C22semidirect
95. #19099226C22semidirect
96. #19099226C22semidirect
97. #19099226C22semidirect
98. #19099221C22semidirect
99. #19099221C22semidirect
100. #19099219C22semidirect
101. #19099217C22semidirect
102. #19099215C22semidirect
103. #19099215C22semidirect
105. #19099213C22semidirect
106. #19099213C22semidirect
107. #19099213C22semidirect
108. #19099212C22semidirect
109. #19099211C22semidirect
110. #19099211C22semidirect
111. #19099211C22semidirect
112. #19099211C22semidirect
113. #19099211C22semidirect
114. #19099211C22semidirect
115. #19099207C22semidirect
116. #19099206C22semidirect
117. #19099203C22semidirect
118. #19099203C22semidirect
119. #19099203C22semidirect
121. #19099202C22semidirect
124. #19099200C22semidirect
125. #19099192C22semidirect
126. #19099191C22semidirect
127. #19099191C22semidirect
128. #19099190C22semidirect
129. #19099188C22semidirect
130. #19099183C22semidirect
131. #19099183C22semidirect
132. #19099182C22semidirect
133. #19099181C22semidirect
134. #19099180C22semidirect
135. #19099180C22semidirect
136. #19099179C22semidirect
137. #19099177C22semidirect
138. #19099170C22semidirect
139. #19099170C22semidirect
140. #19099168C22semidirect
141. #19099163C22semidirect
142. #19099162C22semidirect
143. #19099159C22semidirect
144. #19099157C22semidirect
145. #19099157C22semidirect
146. #19099156C22semidirect
147. #19099156C22semidirect
148. #19099155C22semidirect
149. #19099155C22semidirect
150. #19099154C22semidirect
151. #19099154C22semidirect
152. #19099154C22semidirect
153. #19099154C22semidirect
154. #19099151C22semidirect
155. #19099149C22semidirect
156. #19099148C22semidirect
157. #19099148C22semidirect
158. #19099148C22semidirect
159. #19099147C22semidirect
160. #19099146C22semidirect
161. #19099145C22semidirect
162. #19099142C22semidirect
163. #19099140C22semidirect
164. #19099140C22semidirect
165. #19099139C22semidirect
166. #19099138C22semidirect
167. #19099138C22semidirect
168. #19099137C22semidirect
170. #19099135C22semidirect
171. #19099135C22semidirect
172. #19099135C22semidirect
174. #19099133C22semidirect
175. #19099133C22semidirect
176. #19099133C22semidirect
177. #19099133C22semidirect
179. #19099131C22semidirect
182. #19099123C22semidirect
183. #19099122C22semidirect
184. #19099119C22semidirect
185. #19099113C22semidirect
187. #19099112C22semidirect
188. #19099112C22semidirect
189. #19099112C22semidirect
190. #19099109C22semidirect
191. C2×#14579159C22semidirect
192. C4⋊Q8×D79C22semidirect
193. C4⋊Q8×D79C22semidirect
194. #19099095C22semidirect
195. #19099092C22semidirect
196. #19099092C22semidirect
197. #19099092C22semidirect
198. #19099091C22semidirect
199. #19099090C22semidirect
200. C2×#14579154C22semidirect
201. #126×D79C22semidirect
202. C2×#14579153C22semidirect
203. #125×D79C22semidirect
205. #124×D79C22semidirect
206. #19099072C22semidirect
208. #19099069C22semidirect
209. #19099069C22semidirect
210. #19099069C22semidirect
211. C2×#14579145C22semidirect
214. #123×D79C22semidirect
215. C2×#14579138C22semidirect
216. C2×#14579138C22semidirect
217. C22⋊Q8×D79C22semidirect
218. #19099042C22semidirect
219. #19099036C22semidirect
220. C4×#11929624C22semidirect
221. #19099031C22semidirect
222. #563×C79C22semidirect
223. #562×C79C22semidirect
224. H(3,𝔽4)×C79C22semidirect
225. #555×C79C22semidirect
226. #551×C79C22semidirect
227. #551×C79C22semidirect
228. #546×C79C22semidirect
229. #542×C79C22semidirect
230. #538×C79C22semidirect
231. #536×C79C22semidirect
233. #529×C79C22semidirect
1087. #3545D79semidirect
1105. C79#63063semidirect
1127. #563C2×D79semidirect
1133. #562C2×D79semidirect
1134. H(3,𝔽4)C2×D79semidirect
1144. #555C2×D79semidirect
1176. #551C2×D79semidirect
1177. #551C2×D79semidirect
1209. #546C2×D79semidirect
1223. #542C2×D79semidirect
1248. #538C2×D79semidirect
1265. #536C2×D79semidirect
1289. #529C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779622
#237779452
#237779402
#237779312
#237779282
#237778362
#237778152
#237778102
#237777552
#237777382
#237777352
#237776802
#237776402
#237776052
#237776022
#237775652
#237775612
#237775402
C2×#190993132
#563×D792
#237774612
#237773662
#237771902
#237771822
#237770712
#237770412
C79×#35452
#6306379