Finite Group Databasebeta

← #35197250

Subgroups — #35197250

Order 20224.

6616 conjugacy classes of subgroups.

The subgroup lattice has 2188 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777902C212yesmaximal, complemented
2#23777900C214yesmaximal, complemented
3#23777827C211yesmaximal, characteristic, complemented
4#23777819C214yesmaximal, complemented
5#23777677C211yesmaximal, characteristic, complemented
6#23777671C214yesmaximal, complemented
7#23777666C211yesmaximal, characteristic, complemented
8#23777653C212yesmaximal, complemented
9#23777652C214yesmaximal, complemented
10#23777508C212yesmaximal, complemented
11#23777503C214yesmaximal, complemented
12#23777502C212yesmaximal, complemented
13#23777500C214yesmaximal, complemented
14#23777475C212yesmaximal, complemented
15#23777464C214yesmaximal, complemented
16#23777461C214yesmaximal, complemented
17#23777457C212yesmaximal, complemented
18#23777309C212yesmaximal, complemented
19#23777306C212yesmaximal, complemented
20#23777302C212yesmaximal, complemented
21#23777285C211yesmaximal, characteristic, complemented
22#23777278C212yesmaximal, complemented
23#23777275C211yesmaximal, characteristic, complemented
24#23777268C212yesmaximal, complemented
25#23776695C211yesmaximal, characteristic, complemented
26#23776694C212yesmaximal, complemented
27C79×#3551C211yesmaximal, characteristic, complemented
28#19099315C2214yescomplemented
29#19099315C2214yescomplemented
30#19099312C2212yescomplemented
31#19099306C2212yes—
32#19099305C2212yes—
33#19099303C2212yescomplemented
34#19099301C2214yescomplemented
35#19099301C2214yescomplemented
36#19099300C2212yescomplemented
37#19099300C2212yescomplemented
38#19099299C2212yescomplemented
39#19099297C2214yescomplemented
40#19099297C2212yescomplemented
41#19099296C2212yescomplemented
42#19099296C2214yescomplemented
43#19099295C2214yescomplemented
44#19099295C2212yescomplemented
45#19099295C2214yescomplemented
46#19099290C2214yescomplemented
47#19099290C2212yescomplemented
48#19099289C2212yescomplemented
49#19099288C2214yescomplemented
50#19099285C2212yescomplemented
51#19099284C2212yes—
52#19099284C2214yescomplemented
53#19099282C2214yes—
54#19099282C2212yescomplemented
55#19099281C2212yes—
56#19099280C2214yes—
57#19099280C2214yescomplemented
58#19099277C2212yescomplemented
59#19099277C2214yescomplemented
60#19099277C2214yescomplemented
61#19099277C2214yescomplemented
62#19099276C2212yescomplemented
63#19099275C2214yescomplemented
64#19099275C2212yescomplemented
65#19099272C2212yescomplemented
66#19099271C2214yescomplemented
67#19099269C2212yescomplemented
68#19099267C2214yescomplemented
69#19099265C2212yescomplemented
70#19099262C2214yescomplemented
71#19099261C2212yescomplemented
72#19099260C2214yescomplemented
73#19099259C2212yescomplemented
74#19099259C2214yescomplemented
75#19099258C2214yescomplemented
76#19099257C2214yescomplemented
77#19099256C2214yescomplemented
78#19099256C2214yescomplemented
79#19099256C2214yescomplemented
80#19099256C2214yescomplemented
81#19099256C2214yescomplemented
82#19099255C2214yescomplemented
83#19099255C2212yescomplemented
84#19099253C2212yescomplemented
85#19099252C2214yescomplemented
86#19099251C2214yescomplemented
87#19099250C2214yescomplemented
88#19099250C2214yescomplemented
89#19099250C2214yescomplemented
90#19099250C2214yescomplemented
91#19099249C2214yescomplemented
92#19099248C2212yescomplemented
93#19099246C2214yescomplemented
94#19099246C2214yescomplemented
95#19099244C2212yes—
96#19099244C2214yescomplemented
97#19099243C2212yes—
98#19099243C2212yescomplemented
99#19099241C2214yescomplemented
100#19099239C2214yes—
101#19099238C2214yes—
102#19099233C2214yes—
103#19099232C2212yes—
104#19099231C2214yes—
105#19099231C2212yes—
106#19099224C2212yescomplemented
107#19099222C2214yescomplemented
108#19099222C2212yescomplemented
109#19099219C2214yescomplemented
110#19099219C2212yescomplemented
111#19099219C2214yescomplemented
112#19099219C2214yescomplemented
113#19099215C2212yescomplemented
114#19099213C2214yescomplemented
115#19099212C2212yescomplemented
116#19099211C2214yescomplemented
117#19099209C2212yescomplemented
118#19099207C2212yes—
119#19099204C2212yes—
120#19099203C2214yes—
121#19099200C2214yes—
122#19099200C2214yescomplemented
123#19099200C2214yescomplemented
124#19099187C2214yescomplemented
125#19099186C2212yescomplemented
126#19099186C2212yescomplemented
127#19099186C2214yescomplemented
128#19099183C2214yescomplemented
129#19099181C2214yescomplemented
130#19099181C2214yescomplemented
131#19099180C2212yescomplemented
132#19099180C2212yescomplemented
133#19099179C2214yescomplemented
134#19099179C2214yescomplemented
135#19099178C2214yescomplemented
136#19099177C2214yescomplemented
137#19099177C2214yescomplemented
138#19099173C2212yescomplemented
139#19099173C2212yescomplemented
140#19099172C2214yescomplemented
141#19099170C2214yescomplemented
142#19099166C2212yes—
143#19099166C2214yescomplemented
144#19099166C2214yescomplemented
145#19099166C2212yescomplemented
146#19099165C2214yes—
147#19099163C2214yescomplemented
148#19099163C2214yescomplemented
149#19099163C2214yescomplemented
150#19099163C2214yescomplemented
151#19099162C2214yescomplemented
152#19099161C2214yescomplemented
153#19099159C2214yescomplemented
154#19099157C2214yescomplemented
155#19099156C2214yescomplemented
156#19099155C2214yescomplemented
157#19099149C2214yes—
158#19099149C2214yes—
159#19099148C2214yes—
160#19099148C2214yes—
161#19099145C2214yes—
162#19099141C2212yescomplemented
163#19099140C2214yescomplemented
164#19099140C2214yescomplemented
165#19099135C2214yes—
166#19099134C2211yescharacteristic
167#19099128C2214yes—
168#19099127C2211yescharacteristic
169#19099120C2211yescharacteristic, complemented
170#19099119C2212yescomplemented
171#19099118C2212yescomplemented
172#19099117C2212yescomplemented
173#19099116C2211yescharacteristic, complemented
174#19099116C2211yescharacteristic, complemented
175#19099115C2212yescomplemented
176#19099115C2212yescomplemented
177#19099115C2212yescomplemented
178#19099112C2212yes—
179#19099111C2212yes—
180#19099110C2212yes—
181#19099109C2212yescomplemented
182#19099108C2212yes—
183#19099108C2212yescomplemented
184#19099108C2212yescomplemented
185C2×#14579160C2212yescomplemented
186C2×#14579159C2211yescharacteristic, complemented
187C2×#14579157C2211yescharacteristic, complemented
188#19099098C2212yescomplemented
189#19099097C2212yescomplemented
190#19099096C2214yescomplemented
191#19099096C2214yescomplemented
192#19099095C2212yes—
193#19099095C2214yescomplemented
194#19099095C2212yescomplemented
195#19099094C2212yes—
196#19099094C2214yescomplemented
197#19099094C2212yescomplemented
198#19099093C2214yescomplemented
199#19099092C2212yes—
200#19099092C2212yescomplemented
201#19099092C2212yescomplemented
202#19099092C2214yescomplemented
203#19099091C2214yescomplemented
204#19099091C2214yescomplemented
205#19099090C2214yescomplemented
206#19099090C2214yescomplemented
207C2×#14579154C2214yescomplemented
208#126×D79C2214yescomplemented
209#19099076C2212yescomplemented
210#19099073C2212yes—
211#19099073C2212yescomplemented
212#19099073C2212yescomplemented
213#19099072C2214yescomplemented
214#19099071C2214yescomplemented
215#19099070C2211yescharacteristic
216#19099070C2211yescharacteristic, complemented
217#19099046C2212yescomplemented
218#19099044C2212yescomplemented
219#19099042C2214yescomplemented
220#19099042C2214yescomplemented
221#19099041C2211yescharacteristic, complemented
222#19099040C2211yescharacteristic, complemented
223#19099040C2214yescomplemented
224#19099038C2211yescharacteristic, complemented
225#19099037C2211yescharacteristic, complemented
226#19099036C2214yescomplemented
227#41×Dic79C2211yescharacteristic
228#41×Dic79C2211yescharacteristic, complemented
229C4×#11929625C2212yescomplemented
230#19099031C2214yescomplemented
231C4×#11929623C2212yes—
232C4×#11929623C2212yescomplemented
233C4×#11929623C2212yescomplemented
234C4×#11929623C2214yescomplemented
235C2×C42×D79C2211yescharacteristic, complemented
236#563×C79C2212yescomplemented
237#560×C79C2212yescomplemented
238#555×C79C2212yescomplemented
239#553×C79C2212yescomplemented
240#552×C79C2212yescomplemented
241#551×C79C2212yescomplemented
242#548×C79C2212yescomplemented
243#546×C79C2212yescomplemented
244#540×C79C2214yescomplemented
245#538×C79C2214yes—
246#537×C79C2212yescomplemented
247#536×C79C2211yescharacteristic
248#535×C79C2211yescharacteristic
249#532×C79C2211yescharacteristic
250#529×C79C2212yescomplemented
251C2×#11929625C2312yes—
252C2×#11929624C2312yes—
253C2×#11929624C2314yes—
254C2×#11929623C2312yes—
255C2×#11929623C2314yes—
256C2×#11929623C2314yes—
257C2×#11929623C2314yes—
258C2×#11929623C2312yes—
259C2×#11929623C2312yes—
260C22×Dic158C2314yes—
261C22×Dic158C2311yescharacteristic
262C22×D316C2311yescharacteristic
263C22×C22⋊D79C2314yes—
264C22×C4×D79C2311yescharacteristic
265C22×C4×D79C2312yes—
266#14579161C2312yes—
267#14579160C2314yes—
268#14579160C2314yes—
269#14579160C2314yes—
270#14579160C2312yes—
271#14579160C2312yes—
272#14579160C2314yes—
273#14579160C2312yes—
274#14579160C2312yes—
275#14579159C2312yes—
276#14579159C2312yes—
277#14579159C2314yes—
278#14579159C2312yes—
279#14579157C2312yes—
280#14579157C2314yes—
281#14579157C2314yes—
282#14579157C2314yes—
283#14579157C2312yes—
284#14579157C2312yes—
285#14579156C2314yes—
286#14579156C2314yes—
287#14579156C2314yes—
288#14579156C2314yes—
289#14579156C2314yes—
290#14579156C2314yes—
291#14579156C2314yes—
292#14579156C2314yes—
293#14579156C2314yes—
294#14579155C2314yes—
295#14579155C2314yes—
296#14579155C2314yes—
297#14579154C2314yes—
298#14579154C2314yes—
299#14579154C2314yes—
300#14579154C2314yes—
301#14579154C2314yes—
302#14579154C2314yes—
303#14579154C2314yes—
304#14579154C2314yes—
305#14579154C2314yes—
306#14579154C2314yes—
307#14579154C2314yes—
308#14579154C2314yes—
309#14579154C2312yes—
310#14579154C2314yes—
311#14579154C2312yes—
312#14579154C2312yes—
313#14579154C2312yes—
314#14579153C2314yes—
315#14579153C2312yes—
316#14579153C2312yes—
317#14579152C2314yes—
318#14579152C2314yes—
319#14579152C2314yes—
320#14579152C2314yes—
321#14579152C2312yes—
322#14579152C2312yes—
323#14579152C2312yes—
324#14579152C2312yes—
325#14579151C2314yes—
326#14579151C2314yes—
327#14579151C2314yes—
328#14579151C2314yes—
329#14579151C2314yes—
330#14579151C2314yes—
331#14579151C2314yes—
332#14579151C2314yes—
333#14579151C2314yes—
334#14579151C2314yes—
335#14579150C2314yes—
336#14579150C2312yes—
337#14579150C2312yes—
338#14579149C2314yes—
339#14579149C2312yes—
340#14579148C2312yes—
341#14579148C2314yes—
342#14579148C2314yes—
343#14579148C2314yes—
344#14579148C2312yes—
345#14579148C2312yes—
346#14579148C2312yes—
347#14579147C2314yes—
348#14579147C2314yes—
349#14579147C2314yes—
350#14579147C2314yes—
351#14579147C2314yes—
352#14579147C2314yes—
353#14579147C2314yes—
354#14579147C2314yes—
355#14579147C2314yes—
356#14579147C2314yes—
357#14579147C2314yes—
358#14579147C2314yes—
359#14579147C2314yes—
360#14579147C2314yes—
361#14579146C2314yes—
362#14579146C2314yes—
363#14579146C2314yes—
364#14579146C2314yes—
365#14579146C2314yes—
366#14579146C2314yes—
367#14579145C2314yes—
368#14579145C2314yes—
369#14579145C2314yes—
370#14579145C2314yes—
371#14579145C2314yes—
372#14579144C2314yes—
373#14579144C2314yes—
374#14579144C2314yes—
375#14579144C2314yes—
376#14579143C2314yes—
377#14579143C2314yes—
378#14579143C2314yes—
379#14579143C2314yes—
380#14579143C2314yes—
381#14579143C2314yes—
382#14579143C2314yes—
383#14579143C2314yes—
384#14579143C2314yes—
385#14579143C2314yes—
386#14579143C2312yes—
387#14579143C2312yes—
388#14579143C2312yes—
389#14579143C2312yes—
390#14579142C2314yes—
391#14579142C2312yes—
392#14579142C2314yes—
393#14579142C2312yes—
394#14579142C2314yes—
395#14579142C2314yes—
396#14579142C2314yes—
397#14579142C2311yescharacteristic
398#14579142C2312yes—
399#14579142C2311yescharacteristic
400#14579141C2314yes—
401#14579141C2314yes—
402#14579141C2312yes—
403#14579141C2312yes—
404#14579141C2314yes—
405#14579141C2312yes—
406#14579140C2312yes—
407#14579140C2312yes—
408#14579140C2312yes—
409#14579140C2312yes—
410#14579140C2312yes—
411#14579140C2314yes—
412#14579139C2314yes—
413#14579139C2314yes—
414#14579139C2314yes—
415#14579139C2314yes—
416#14579139C2314yes—
417#14579139C2314yes—
418#14579139C2314yes—
419#14579138C2314yes—
420#14579138C2314yes—
421#14579138C2314yes—
422#14579138C2314yes—
423#14579138C2314yes—
424#14579138C2314yes—
425#14579138C2314yes—
426#14579138C2314yes—
427#14579138C2314yes—
428#14579138C2314yes—
429#14579138C2314yes—
430#14579137C2314yes—
431#14579137C2312yes—
432#14579137C2312yes—
433#14579137C2314yes—
434#14579137C2312yes—
435#14579136C2314yes—
436#14579136C2312yes—
437#14579135C2314yes—
438#14579135C2314yes—
439#14579135C2312yes—
440#14579135C2312yes—
441#14579135C2314yes—
442#14579135C2312yes—
443#14579134C2314yes—
444#14579134C2314yes—
445#14579134C2314yes—
446#14579134C2314yes—
447#14579134C2314yes—
448#14579134C2314yes—
449#14579134C2314yes—
450#14579133C2314yes—
451#14579133C2314yes—
452#14579133C2314yes—
453#14579133C2314yes—
454#14579133C2314yes—
455#14579133C2314yes—
456#14579133C2314yes—
457#14579133C2314yes—
458#14579133C2314yes—
459#14579133C2314yes—
460#14579133C2314yes—
461#14579133C2314yes—
462#14579133C2314yes—
463#14579133C2314yes—
464#14579133C2314yes—
465#14579133C2314yes—
466#14579133C2314yes—
467#14579132C2314yes—
468#14579132C2312yes—
469#14579132C2312yes—
470#14579132C2314yes—
471#14579132C2312yes—
472#14579132C2312yes—
473#14579132C2314yes—
474#14579132C2314yes—
475#14579132C2312yes—
476#14579131C2314yes—
477#14579131C2314yes—
478#14579130C2314yes—
479#14579129C2312yes—
480#14579129C2314yes—
481#14579129C2312yes—
482#14579129C2311yescharacteristic
483#14579129C2314yes—
484#14579129C2312yes—
485#14579129C2311yescharacteristic
486Q8×Dic79C2312yes—
487Q8×Dic79C2312yes—
488Q8×Dic79C2312yes—
489Q8×Dic79C2314yes—
490Q8×Dic79C2312yes—
491Q8×Dic79C2312yes—
492C4×Dic158C2314yes—
493C4×Dic158C2314yes—
494C4×Dic158C2314yes—
495C4×Dic158C2314yes—
496C4×Dic158C2314yes—
497C4×Dic158C2314yes—
498C4×Dic158C2312yes—
499C4×Dic158C2312yes—
500C4×Dic158C2312yes—
501#14579126C2314yes—
502#14579126C2314yes—
503#14579126C2312yes—
504#14579126C2312yes—
505#14579126C2312yes—
506#14579126C2314yes—
507#14579126C2314yes—
508#14579126C2314yes—
509#14579126C2314yes—
510#14579126C2314yes—
511#14579126C2312yes—
512#14579126C2312yes—
513C4×D316C2314yes—
514C4×D316C2312yes—
515C4×D316C2314yes—
516D4×Dic79C2314yes—
517D4×Dic79C2314yes—
518D4×Dic79C2314yes—
519D4×Dic79C2312yes—
520D4×Dic79C2312yes—
521D4×Dic79C2314yes—
522D4×Dic79C2314yes—
523D4×Dic79C2312yes—
524D4×Dic79C2312yes—
525D4×Dic79C2312yes—
526D4×Dic79C2312yes—
527D4×Dic79C2312yes—
528D4×Dic79C2312yes—
529D4×Dic79C2312yes—
530D4×Dic79C2312yes—
531D4×Dic79C2312yes—
532D4×Dic79C2314yes—
533#14579123C2314yes—
534#14579123C2314yes—
535#14579123C2312yes—
536#14579123C2312yes—
537#14579123C2312yes—
538#14579123C2314yes—
539C4×C22⋊D79C2314yes—
540C4×C22⋊D79C2314yes—
541C4×C22⋊D79C2314yes—
542C4×C22⋊D79C2314yes—
543C4×C22⋊D79C2314yes—
544C4×C22⋊D79C2314yes—
545C4×C22⋊D79C2314yes—
546C4×C22⋊D79C2314yes—
547C4×C22⋊D79C2314yes—
548C4×C22⋊D79C2314yes—
549C4×C22⋊D79C2312yes—
550C4×C22⋊D79C2312yes—
551C4×C22⋊D79C2312yes—
552C4×C22⋊D79C2312yes—
553C4×C22⋊D79C2314yes—
554(C22⋊D79)⋊C4C2314yes—
555(C22⋊D79)⋊C4C2314yes—
556(C22⋊D79)⋊C4C2314yes—
557(C22⋊D79)⋊C4C2314yes—
558(C22⋊D79)⋊C4C2314yes—
559(C22⋊D79)⋊C4C2314yes—
560(C22⋊D79)⋊C4C2314yes—
561(C22⋊D79)⋊C4C2314yes—
562(C22⋊D79)⋊C4C2314yes—
563(C22⋊D79)⋊C4C2314yes—
564(C22⋊D79)⋊C4C2314yes—
565(C22⋊D79)⋊C4C2312yes—
566(C22⋊D79)⋊C4C2312yes—
567(C22⋊D79)⋊C4C2312yes—
568(C22⋊D79)⋊C4C2312yes—
569(C22⋊D79)⋊C4C2314yes—
570(C22⋊D79)⋊C4C2314yes—
571#14579120C2311yescharacteristic
572#14579120C2311yescharacteristic
573#14579120C2314yes—
574#14579120C2314yes—
575#14579120C2311yescharacteristic
576#14579120C2311yescharacteristic
577#14579120C2312yes—
578#14579120C2314yes—
579#14579120C2311yescharacteristic
580#14579120C2311yescharacteristic
581#14579119C2312yes—
582#14579119C2312yes—
583#14579119C2314yes—
584#14579119C2314yes—
585#14579119C2314yes—
586#14579119C2312yes—
587#14579119C2312yes—
588#14579118C2314yes—
589#14579118C2314yes—
590#14579118C2314yes—
591#14579118C2314yes—
592#14579117C2312yes—
593#14579117C2314yes—
594#14579117C2314yes—
595#14579117C2314yes—
596#14579117C2312yes—
597#14579117C2312yes—
598#14579117C2314yes—
599#14579117C2312yes—
600#14579117C2314yes—
601#14579117C2314yes—
602#14579117C2314yes—
603#14579117C2314yes—
604#14579117C2314yes—
605#14579117C2314yes—
606C2×C4⋊Dic79C2312yes—
607C2×C4⋊Dic79C2314yes—
608C2×Dic79⋊C4C2314yes—
609C2×Dic79⋊C4C2314yes—
610C2×Dic79⋊C4C2314yes—
611C2×Dic79⋊C4C2314yes—
612C4⋊C4×D79C2314yes—
613C4⋊C4×D79C2314yes—
614C4⋊C4×D79C2314yes—
615C2×C22⋊Dic79C2314yes—
616C2×C22⋊Dic79C2314yes—
617C22⋊C4×D79C2314yes—
618C22⋊C4×D79C2314yes—
619C22⋊C4×D79C2314yes—
620C2×C4×Dic79C2312yes—
621C2×C4×Dic79C2311yescharacteristic
622C2×C4×Dic79C2311yescharacteristic
623C2×C4×Dic79C2312yes—
624C2×C4×Dic79C2314yes—
625C2×C4×Dic79C2311yescharacteristic
626C42×D79C2312yes—
627C42×D79C2312yes—
628C42×D79C2312yes—
629C42×D79C2312yes—
630C42×D79C2314yes—
631C2×#41×C79C2311yescharacteristic
632C2×#41×C79C2312yes—
633C2×#41×C79C2311yescharacteristic
634C22×Q8×C79C2311yescharacteristic
635C22×D4×C79C2311yescharacteristic
636C4⋊Q8×C79C2312yes—
637C4⋊Q8×C79C2311yescharacteristic
638#127×C79C2312yes—
639#127×C79C2311yescharacteristic
640#126×C79C2314yes—
641#126×C79C2314yes—
642#126×C79C2314yes—
643#125×C79C2314yes—
644#125×C79C2312yes—
645#124×C79C2312yes—
646#124×C79C2314yes—
647#124×C79C2312yes—
648#124×C79C2311yescharacteristic
649#124×C79C2312yes—
650#124×C79C2311yescharacteristic
651#123×C79C2312yes—
652#123×C79C2314yes—
653#123×C79C2314yes—
654#123×C79C2314yes—
655#123×C79C2314yes—
656#123×C79C2312yes—
657C22⋊Q8×C79C2314yes—
658C22⋊Q8×C79C2312yes—
659C22⋊Q8×C79C2312yes—
660C22⋊Q8×C79C2314yes—
661C22⋊Q8×C79C2312yes—
662#121×C79C2314yes—
663#121×C79C2314yes—
664#121×C79C2312yes—
665#121×C79C2312yes—
666#121×C79C2314yes—
667#121×C79C2314yes—
668#121×C79C2312yes—
669#121×C79C2312yes—
670#121×C79C2312yes—
671#121×C79C2314yes—
672#121×C79C2314yes—
673#120×C79C2312yes—
674#120×C79C2314yes—
675#120×C79C2312yes—
676C4×Q8×C79C2312yes—
677C4×D4×C79C2314yes—
678C4×D4×C79C2312yes—
679C4×D4×C79C2312yes—
680C4×D4×C79C2314yes—
681C4×D4×C79C2312yes—
682C4×D4×C79C2314yes—
683#117×C79C2314yes—
684#117×C79C2314yes—
685#117×C79C2311yescharacteristic
686#117×C79C2311yescharacteristic
687C2×C4⋊C4×C79C2312yes—
688C2×C22⋊C4×C79C2314yes—
689C2×C42×C79C2311yescharacteristic
690C23×D79C2412yes—
691C23×D79C2411yescharacteristic
692#11929625—44no—
693#11929624—48no—
694#11929624—44no—
695#11929623—48no—
696#11929623—48no—
697#11929623—48no—
698#11929623—44no—
699#11929623—44no—
700#11929623—44no—
701C2×Dic158—42no—
702C2×Dic158—48no—
703C2×Dic158C2414yes—
704C2×Dic158C2414yes—
705C2×Dic158C2412yes—
706C2×Dic158C2414yes—
707C2×Dic158C2412yes—
708C2×Dic158C2414yes—
709C2×Dic158C2412yes—
710C2×Dic158C2412yes—
711C2×D316—42no—
712C2×D316C2412yes—
713C2×D316C2414yes—
714C2×D316C2414yes—
715C2×D316C2412yes—
716C2×C22⋊D79—48no—
717C2×C22⋊D79C2414yes—
718C2×C22⋊D79C2414yes—
719C2×C22⋊D79C2412yes—
720C2×C22⋊D79C2414yes—
721C2×C22⋊D79C2414yes—
722C2×C22⋊D79C2412yes—
723C2×C22⋊D79C2412yes—
724C2×C22⋊D79C2414yes—
725C2×C22⋊D79C2412yes—
726C2×C22⋊D79C2414yes—
727C2×C22⋊D79C2414yes—
728C2×C22⋊D79C2414yes—
729C2×C22⋊D79C2414yes—
730C2×C22⋊D79C2414yes—
731C22×Dic79C2412yes—
732C22×Dic79C2412yes—
733C22×Dic79C2412yes—
734C22×Dic79C2412yes—
735C22×Dic79C2412yes—
736C22×Dic79C2412yes—
737C22×Dic79C2414yes—
738C22×Dic79C2414yes—
739C22×Dic79C2414yes—
740C22×Dic79C2414yes—
741C22×Dic79C2414yes—
742C22×Dic79C2411yescharacteristic
743C2×C4×D79—42no—
744C2×C4×D79—44no—
745C2×C4×D79C2412yes—
746C2×C4×D79C2412yes—
747C2×C4×D79C2412yes—
748C2×C4×D79C2414yes—
749C2×C4×D79C2414yes—
750C2×C4×D79C2414yes—
751C2×C4×D79C2414yes—
752C2×C4×D79C2414yes—
753C2×C4×D79C2414yes—
754C2×C4×D79C2412yes—
755C2×C4×D79C2412yes—
756C2×C4×D79C2412yes—
757C4⋊Dic79C2412yes—
758C4⋊Dic79C2414yes—
759C4⋊Dic79C2414yes—
760C4⋊Dic79C2414yes—
761C4⋊Dic79C2412yes—
762C4⋊Dic79C2412yes—
763C4⋊Dic79C2414yes—
764C4⋊Dic79C2414yes—
765C4⋊Dic79C2412yes—
766C4⋊Dic79C2412yes—
767C4⋊Dic79C2412yes—
768C4⋊Dic79C2412yes—
769C4⋊Dic79C2412yes—
770C4⋊Dic79C2412yes—
771C4⋊Dic79C2412yes—
772C4⋊Dic79C2414yes—
773C4⋊Dic79C2414yes—
774Dic79⋊C4C2412yes—
775Dic79⋊C4C2412yes—
776Dic79⋊C4C2414yes—
777Dic79⋊C4C2414yes—
778Dic79⋊C4C2414yes—
779Dic79⋊C4C2414yes—
780Dic79⋊C4C2414yes—
781Dic79⋊C4C2414yes—
782Dic79⋊C4C2414yes—
783Dic79⋊C4C2414yes—
784Dic79⋊C4C2414yes—
785Dic79⋊C4C2414yes—
786Dic79⋊C4C2414yes—
787Dic79⋊C4C2414yes—
788Dic79⋊C4C2414yes—
789Dic79⋊C4C2414yes—
790Dic79⋊C4C2412yes—
791Dic79⋊C4C2412yes—
792Dic79⋊C4C2412yes—
793Dic79⋊C4C2412yes—
794Dic79⋊C4C2412yes—
795Dic79⋊C4C2414yes—
796Dic79⋊C4C2412yes—
797Dic79⋊C4C2414yes—
798Dic79⋊C4C2414yes—
799Dic79⋊C4C2414yes—
800Dic79⋊C4C2414yes—
801Dic79⋊C4C2414yes—
802C22⋊Dic79C2412yes—
803C22⋊Dic79C2412yes—
804C22⋊Dic79C2414yes—
805C22⋊Dic79C2412yes—
806C22⋊Dic79C2414yes—
807C22⋊Dic79C2414yes—
808C22⋊Dic79C2414yes—
809C22⋊Dic79C2414yes—
810C22⋊Dic79C2412yes—
811C22⋊Dic79C2412yes—
812C22⋊Dic79C2414yes—
813C22⋊Dic79C2412yes—
814C22⋊Dic79C2412yes—
815C22⋊Dic79C2414yes—
816C22⋊Dic79C2414yes—
817C22⋊Dic79C2412yes—
818C22⋊Dic79C2412yes—
819C22⋊Dic79C2412yes—
820C22⋊Dic79C2412yes—
821C22⋊Dic79C2411yescharacteristic
822C22⋊Dic79C2411yescharacteristic
823C22⋊Dic79C2414yes—
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)⋊C4C2414yes—
833(C2×D79)⋊C4C2414yes—
834(C2×D79)⋊C4C2414yes—
835(C2×D79)⋊C4C2412yes—
836(C2×D79)⋊C4C2414yes—
837(C2×D79)⋊C4C2412yes—
838(C2×D79)⋊C4C2412yes—
839(C2×D79)⋊C4C2412yes—
840(C2×D79)⋊C4C2414yes—
841(C2×D79)⋊C4C2414yes—
842(C2×D79)⋊C4C2414yes—
843(C2×D79)⋊C4C2414yes—
844C4×Dic79C2412yes—
845C4×Dic79C2411yescharacteristic
846C4×Dic79C2412yes—
847C4×Dic79C2412yes—
848C4×Dic79C2411yescharacteristic
849C4×Dic79C2412yes—
850C4×Dic79C2412yes—
851C4×Dic79C2414yes—
852C4×Dic79C2414yes—
853C4×Dic79C2414yes—
854C4×Dic79C2414yes—
855C4×Dic79C2414yes—
856C4×Dic79C2412yes—
857C4×Dic79C2412yes—
858C4×Dic79C2412yes—
859C4×Dic79C2412yes—
860C4×Dic79C2411yescharacteristic
861C4×Dic79C2412yes—
862C4×Dic79C2411yescharacteristic
863C4×Dic79C2412yes—
864C4×Dic79C2414yes—
865C4×Dic79C2414yes—
866C4×Dic79C2414yes—
867C4×Dic79C2412yes—
868C4×Dic79C2414yes—
869C24×C79C2412yes—
870#41×C79—42no—
871#41×C79—42no—
872#41×C79—44no—
873C2×Q8×C79—42no—
874C2×Q8×C79C2412yes—
875C2×Q8×C79C2411yescharacteristic
876C2×Q8×C79C2412yes—
877C2×Q8×C79C2411yescharacteristic
878C2×D4×C79—42no—
879C2×D4×C79C2412yes—
880C2×D4×C79C2412yes—
881C2×D4×C79C2414yes—
882C2×D4×C79C2414yes—
883C2×D4×C79C2414yes—
884C2×D4×C79C2412yes—
885C2×D4×C79C2411yescharacteristic
886C2×D4×C79C2411yescharacteristic
887C2×D4×C79C2414yes—
888C2×D4×C79C2412yes—
889C2×D4×C79C2411yescharacteristic
890C2×D4×C79C2412yes—
891C2×D4×C79C2411yescharacteristic
892C22×C4×C79C2411yescharacteristic
893C22×C4×C79C2412yes—
894C22×C4×C79C2411yescharacteristic
895C22×C4×C79C2411yescharacteristic
896C22×C4×C79C2414yes—
897C22×C4×C79C2414yes—
898C22×C4×C79C2412yes—
899C22×C4×C79C2414yes—
900C22×C4×C79C2412yes—
901C4⋊C4×C79C2412yes—
902C4⋊C4×C79C2412yes—
903C4⋊C4×C79C2414yes—
904C4⋊C4×C79C2414yes—
905C4⋊C4×C79C2414yes—
906C4⋊C4×C79C2414yes—
907C4⋊C4×C79C2414yes—
908C4⋊C4×C79C2412yes—
909C4⋊C4×C79C2412yes—
910C4⋊C4×C79C2414yes—
911C4⋊C4×C79C2414yes—
912C22⋊C4×C79C2412yes—
913C22⋊C4×C79C2414yes—
914C22⋊C4×C79C2414yes—
915C22⋊C4×C79C2414yes—
916C22⋊C4×C79C2412yes—
917C22⋊C4×C79C2412yes—
918C22⋊C4×C79C2414yes—
919C22⋊C4×C79C2414yes—
920C22⋊C4×C79C2412yes—
921C22⋊C4×C79C2412yes—
922C22⋊C4×C79C2412yes—
923C22⋊C4×C79C2414yes—
924C22⋊C4×C79C2414yes—
925C22⋊C4×C79C2414yes—
926C22⋊C4×C79C2414yes—
927C42×C79C2411yescharacteristic
928C42×C79C2412yes—
929C42×C79C2411yescharacteristic
930C42×C79C2412yes—
931C42×C79C2414yes—
932C42×C79C2412yes—
933C23×C79—44no—
934C23×C79—42no—
935C23×C79C2511yescharacteristic
936C23×C79C2511yescharacteristic
937C23×C79C2514yes—
938C23×C79C2511yescharacteristic
939C23×C79C2512yes—
940C22×D79—42no—
941C22×D79—41no—
942C22×D79—44no—
943C22×D79—42no—
944C22×D79C2514yes—
945C22×D79C2512yes—
946Q8×C79—24no—
947Q8×C79—42no—
948Q8×C79—41no—
949Q8×C79—41no—
950D4×C79—24no—
951D4×C79—44no—
952D4×C79—44no—
953D4×C79—44no—
954D4×C79—42no—
955D4×C79—42no—
956D4×C79—42no—
957D4×C79—42no—
958D4×C79—41no—
959D4×C79—41no—
960D4×C79—41no—
961D4×C79—41no—
962D4×C79—44no—
963C2×C4×C79—22no—
964C2×C4×C79—22no—
965C2×C4×C79—22no—
966C2×C4×C79—24no—
967C2×C4×C79—42no—
968C2×C4×C79—44no—
969C2×C4×C79—44no—
970C2×C4×C79—42no—
971C2×C4×C79—44no—
972C2×C4×C79C2511yescharacteristic
973C2×C4×C79C2511yescharacteristic
974C2×C4×C79C2512yes—
975C2×C4×C79C2514yes—
976C2×C4×C79C2514yes—
977C2×C4×C79C2511yescharacteristic
978C2×C4×C79C2512yes—
979C2×C4×C79C2514yes—
980C2×C4×C79C2512yes—
981C2×C4×C79C2511yescharacteristic
982C22⋊D79—28no—
983C22⋊D79—28no—
984C22⋊D79—44no—
985C22⋊D79—44no—
986C22⋊D79—42no—
987C22⋊D79—44no—
988C22⋊D79—44no—
989C22⋊D79—44no—
990C22⋊D79—44no—
991C22⋊D79—42no—
992C22⋊D79—42no—
993C22⋊D79—42no—
994C22⋊D79—44no—
995C22⋊D79—44no—
996C2×Dic79—24no—
997C2×Dic79—24no—
998C2×Dic79—24no—
999C2×Dic79—24no—
1000C2×Dic79—24no—
1001C2×Dic79—41no—
1002C2×Dic79—42no—
1003C2×Dic79—44no—
1004C2×Dic79—44no—
1005C2×Dic79—44no—
1006C2×Dic79—44no—
1007C2×Dic79—44no—
1008C2×Dic79C2512yes—
1009C2×Dic79C2512yes—
1010C2×Dic79C2512yes—
1011C2×Dic79C2512yes—
1012C2×Dic79C2514yes—
1013C2×Dic79C2514yes—
1014C2×Dic79C2514yes—
1015C2×Dic79C2512yes—
1016C2×Dic79C2512yes—
1017C2×Dic79C2512yes—
1018D316—24no—
1019D316—42no—
1020D316—44no—
1021D316—44no—
1022C4×D79—24no—
1023C4×D79—24no—
1024C4×D79—24no—
1025C4×D79—42no—
1026C4×D79—42no—
1027C4×D79—42no—
1028C4×D79—44no—
1029C4×D79—44no—
1030C4×D79—44no—
1031C4×D79—44no—
1032C4×D79—44no—
1033C4×D79—44no—
1034Dic158—24no—
1035Dic158—28no—
1036Dic158—28no—
1037Dic158—42no—
1038Dic158—44no—
1039Dic158—44no—
1040Dic158—42no—
1041Dic158—42no—
1042C22×C79—24no—
1043C22×C79—24no—
1044C22×C79—22no—
1045C22×C79—22no—
1046C22×C79—22no—
1047C22×C79—22no—
1048C22×C79—22no—
1049C22×C79—24no—
1050C22×C79—22no—
1051C22×C79—21no—
1052C22×C79—21no—
1053C22×C79—21no—
1054C22×C79—162no—
1055C22×C79C2611yescharacteristic
1056C2×D79—24no—
1057C2×D79—24no—
1058C2×D79—22no—
1059C2×D79—22no—
1060C2×D79—22no—
1061C2×D79—24no—
1062C2×D79—44no—
1063C2×D79—162no—
1064C4×C79—22no—
1065C4×C79—21no—
1066C4×C79—21no—
1067C4×C79—21no—
1068C4×C79—22no—
1069C4×C79—24no—
1070C4×C79—24no—
1071C4×C79—24no—
1072C4×C79—22no—
1073C4×C79#58512yes—
1074Dic79—22no—
1075Dic79—24no—
1076Dic79—24no—
1077Dic79—24no—
1078Dic79—22no—
1079Dic79—22no—
1080Dic79—22no—
1081Dic79—22no—
1082Dic79—22no—
1083Dic79#58514yes—
1084#62839—791nomaximal, Sylow
1085C2×C79—41no—
1086C2×C79—41no—
1087C2×C79—41no—
1088C2×C79—42no—
1089C2×C79—44no—
1090C2×C79C2×#58512yes—
1091C2×C79C2×#58511yescharacteristic
1092D79—42no—
1093D79—44no—
1094#3557—794no—
1095#3557—792no—
1096#3551—794no—
1097#3551—791no—
1098#3551D7911yescharacteristic, complemented
1099#3540—794no—
1100#3540—791no—
1101#3540—791no—
1102#3539—794no—
1103#3539—792no—
1104#3524—794no—
1105#3524—792no—
1106#3524—792no—
1107#3524—794no—
1108#3521—792no—
1109#3521—794no—
1110#3521—792no—
1111#3521—794no—
1112#3511—792no—
1113#3511—792no—
1114#3511—792no—
1115#3509—792no—
1116#3509—791no—
1117#3508—792no—
1118#3508—791no—
1119#3444—791no—
1120#3444—792no—
1121C79#6283911yescharacteristic, complemented, Sylow
1122#563—792no—
1123#563—794no—
1124#563—794no—
1125#563C2×D7912yescomplemented
1126H(3,𝔽4)—792no—
1127H(3,𝔽4)—792no—
1128#560—792no—
1129#560—792no—
1130#560—792no—
1131#560—794no—
1132#560—794no—
1133#560C2×D7912yescomplemented
1134#559—792no—
1135#559—794no—
1136#559—792no—
1137#559—794no—
1138#559—794no—
1139#559—792no—
1140#559—792no—
1141#559—794no—
1142#557—794no—
1143#557—794no—
1144#557—792no—
1145#557—792no—
1146#556—794no—
1147#556—794no—
1148#556—794no—
1149#556—792no—
1150#556—792no—
1151#556—794no—
1152#556—792no—
1153#556—792no—
1154#555—794no—
1155#555—792no—
1156#555—792no—
1157#555—794no—
1158#555—794no—
1159#555—794no—
1160#555—792no—
1161#555C2×D7912yescomplemented
1162#554—792no—
1163#554—794no—
1164#554—794no—
1165#554—792no—
1166#553—794no—
1167#553—794no—
1168#553—794no—
1169#553—794no—
1170#553—794no—
1171#553—794no—
1172#553—794no—
1173#553—792no—
1174#553—792no—
1175#553—794no—
1176#553—794no—
1177#553—794no—
1178#553—792no—
1179#553C2×D7912yescomplemented
1180#552—794no—
1181#552—794no—
1182#552—794no—
1183#552—794no—
1184#552—794no—
1185#552—794no—
1186#552—792no—
1187#552—794no—
1188#552—792no—
1189#552—794no—
1190#552—794no—
1191#552—794no—
1192#552—792no—
1193#552C2×D7912yescomplemented
1194#551—794no—
1195#551—792no—
1196#551—792no—
1197#551—794no—
1198#551—792no—
1199#551—794no—
1200#551—794no—
1201#551C2×D7912yescomplemented
1202#550—792no—
1203#550—794no—
1204#550—792no—
1205#550—794no—
1206#548—792no—
1207#548—794no—
1208#548—792no—
1209#548—794no—
1210#548—794no—
1211#548—794no—
1212#548—792no—
1213#548C2×D7912yescomplemented
1214#547—792no—
1215#547—794no—
1216#547—792no—
1217#547—794no—
1218#546—792no—
1219#546—792no—
1220#546—794no—
1221#546—794no—
1222#546—794no—
1223#546—792no—
1224#546—794no—
1225#546C2×D7912yescomplemented
1226#542—794no—
1227#542—794no—
1228#542—794no—
1229#542—794no—
1230#542—794no—
1231#542—794no—
1232#542—794no—
1233#542—794no—
1234#542—792no—
1235#542—792no—
1236#542—794no—
1237#542—792no—
1238#542—792no—
1239#542—794no—
1240#541—794no—
1241#541—794no—
1242#541—792no—
1243#541—792no—
1244#540—794no—
1245#540—794no—
1246#540—794no—
1247#540—794no—
1248#540—794no—
1249#540—792no—
1250#540—792no—
1251#540—794no—
1252#540—794no—
1253#540C2×D7914yescomplemented
1254#539—794no—
1255#539—794no—
1256#539—794no—
1257#539—794no—
1258#539—794no—
1259#539—794no—
1260#538—794no—
1261#538—794no—
1262#538—794no—
1263#538—794no—
1264#538—794no—
1265#538C2×D7914yes—
1266#537—792no—
1267#537—794no—
1268#537—794no—
1269#537C2×D7912yescomplemented
1270#536—791no—
1271#536—794no—
1272#536C2×D7911yescharacteristic
1273#535—791no—
1274#535—794no—
1275#535C2×D7911yescharacteristic
1276#533—792no—
1277#533—792no—
1278#533—792no—
1279#533—792no—
1280#533—792no—
1281#533—792no—
1282#533—791no—
1283#533—791no—
1284#533—791no—
1285#532—792no—
1286#532—792no—
1287#532—792no—
1288#532—792no—
1289#532—792no—
1290#532—792no—
1291#532—792no—
1292#532C2×D7911yescharacteristic
1293C2×C4⋊Q8—791no—
1294C2×C4⋊Q8—792no—
1295C2×#127—791no—
1296#529—794no—
1297#529—794no—
1298#529—792no—
1299#529—792no—
1300#529—792no—
1301#529—792no—
1302#529—794no—
1303#529—794no—
1304#529—794no—
1305#529—792no—
1306#529—792no—
1307#529—794no—
1308#529—792no—
1309#529—792no—
1310#529—794no—
1311#529—794no—
1312#529—794no—
1313#529—794no—
1314#529—792no—
1315#529C2×D7912yescomplemented
1316C2×#126—794no—
1317C2×#126—794no—
1318#525—791no—
1319#525—791no—
1320#525—794no—
1321#525—792no—
1322#525—792no—
1323#525—792no—
1324#525—792no—
1325#525—794no—
1326#520—792no—
1327#520—794no—
1328#520—794no—
1329#520—792no—
1330#519—791no—
1331#519—791no—
1332#519—794no—
1333#518—791no—
1334#518—791no—
1335#518—794no—
1336C4×#41—791no—
1337C4×#41—791no—
1338C4×#41—792no—
1339C4×#41—792no—
1340C4×#41—792no—
1341C4×#41—792no—
1342C4×#41—794no—
1343C4×#41—794no—
1344C22×C42—791no—
1345C2×#41—792no—
1346C2×#41—792no—
1347C2×#41—792no—
1348C2×#41—792no—
1349C2×#41—794no—
1350C2×#41—794no—
1351C2×#41—794no—
1352C2×#41—794no—
1353C2×#41—792no—
1354C2×#41C22×D7911yescharacteristic
1355C2×#41C22×D7911yescharacteristic
1356C2×#41C22×D7912yes—
1357C22×Q8—791no—
1358C22×Q8—794no—
1359C22×Q8C22×D7911yescharacteristic
1360C22×D4—794no—
1361C22×D4—791no—
1362C22×D4C22×D7911yescharacteristic
1363C23×C4—791no—
1364C23×C4—792no—
1365C4⋊Q8—792no—
1366C4⋊Q8—792no—
1367C4⋊Q8—794no—
1368C4⋊Q8—792no—
1369C4⋊Q8—792no—
1370C4⋊Q8—792no—
1371C4⋊Q8—794no—
1372C4⋊Q8—792no—
1373C4⋊Q8—792no—
1374C4⋊Q8—794no—
1375C4⋊Q8—794no—
1376C4⋊Q8—794no—
1377C4⋊Q8—792no—
1378C4⋊Q8C22×D7911yescharacteristic
1379C4⋊Q8C22×D7912yes—
1380#127—792no—
1381#127—792no—
1382#127—794no—
1383#127—792no—
1384#127—794no—
1385#127—794no—
1386#127C22×D7911yescharacteristic
1387#127C22×D7912yes—
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—792no—
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—792no—
1408#126—792no—
1409#126—792no—
1410#126—794no—
1411#126—794no—
1412#126—794no—
1413#126—794no—
1414#126—794no—
1415#126—794no—
1416#126—794no—
1417#126C22×D7914yes—
1418#126C22×D7914yes—
1419#126C22×D7914yes—
1420#125—792no—
1421#125—792no—
1422#125—794no—
1423#125—794no—
1424#125—794no—
1425#125—794no—
1426#125—794no—
1427#125—794no—
1428#125—794no—
1429#125—794no—
1430#125—792no—
1431#125—794no—
1432#125—792no—
1433#125—794no—
1434#125—794no—
1435#125—794no—
1436#125—794no—
1437#125—794no—
1438#125—792no—
1439#125—792no—
1440#125—794no—
1441#125C22×D7912yes—
1442#125C22×D7914yes—
1443#124—792no—
1444#124—792no—
1445#124—794no—
1446#124—792no—
1447#124—792no—
1448#124—794no—
1449#124—794no—
1450#124—792no—
1451#124—792no—
1452#124—794no—
1453#124—794no—
1454#124—794no—
1455#124—794no—
1456#124—794no—
1457#124—794no—
1458#124—794no—
1459#124—794no—
1460#124—794no—
1461#124—794no—
1462#124—794no—
1463#124—794no—
1464#124—794no—
1465#124—794no—
1466#124—794no—
1467#124—792no—
1468#124—794no—
1469#124C22×D7911yescharacteristic
1470#124C22×D7911yescharacteristic
1471#124C22×D7912yes—
1472#124C22×D7914yes—
1473#124C22×D7912yes—
1474#124C22×D7912yes—
1475#123—791no—
1476#123—792no—
1477#123—791no—
1478#123—794no—
1479#123—794no—
1480#123—794no—
1481#123—792no—
1482#123—794no—
1483#123—792no—
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—794no—
1494#123—794no—
1495#123—794no—
1496#123—794no—
1497#123—792no—
1498#123—792no—
1499#123—792no—
1500#123—792no—
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#123C22×D7914yes—
1515#123C22×D7914yes—
1516#123C22×D7914yes—
1517#123C22×D7912yes—
1518#123C22×D7912yes—
1519#123C22×D7914yes—
1520C22⋊Q8—792no—
1521C22⋊Q8—792no—
1522C22⋊Q8—792no—
1523C22⋊Q8—794no—
1524C22⋊Q8—794no—
1525C22⋊Q8—792no—
1526C22⋊Q8—792no—
1527C22⋊Q8—792no—
1528C22⋊Q8—794no—
1529C22⋊Q8—792no—
1530C22⋊Q8—792no—
1531C22⋊Q8—794no—
1532C22⋊Q8—794no—
1533C22⋊Q8—792no—
1534C22⋊Q8—792no—
1535C22⋊Q8—794no—
1536C22⋊Q8—792no—
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⋊Q8C22×D7912yes—
1556C22⋊Q8C22×D7912yes—
1557C22⋊Q8C22×D7912yes—
1558C22⋊Q8C22×D7914yes—
1559C22⋊Q8C22×D7914yes—
1560#121—792no—
1561#121—792no—
1562#121—792no—
1563#121—792no—
1564#121—792no—
1565#121—794no—
1566#121—794no—
1567#121—794no—
1568#121—794no—
1569#121—794no—
1570#121—794no—
1571#121—794no—
1572#121—794no—
1573#121—794no—
1574#121—794no—
1575#121—794no—
1576#121—794no—
1577#121—794no—
1578#121—794no—
1579#121—794no—
1580#121—794no—
1581#121—794no—
1582#121—794no—
1583#121—794no—
1584#121—794no—
1585#121—794no—
1586#121—792no—
1587#121—792no—
1588#121—792no—
1589#121—794no—
1590#121—794no—
1591#121—794no—
1592#121—792no—
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#121C22×D7912yes—
1602#121C22×D7912yes—
1603#121C22×D7912yes—
1604#121C22×D7914yes—
1605#121C22×D7912yes—
1606#121C22×D7912yes—
1607#121C22×D7914yes—
1608#121C22×D7914yes—
1609#121C22×D7914yes—
1610#121C22×D7914yes—
1611#121C22×D7914yes—
1612#120—794no—
1613#120—792no—
1614#120—791no—
1615#120—794no—
1616#120—791no—
1617#120—792no—
1618#120—794no—
1619#120—792no—
1620#120—794no—
1621#120—794no—
1622#120C22×D7914yes—
1623#120C22×D7912yes—
1624#120C22×D7912yes—
1625C4×Q8—792no—
1626C4×Q8—792no—
1627C4×Q8—792no—
1628C4×Q8—794no—
1629C4×Q8—792no—
1630C4×Q8—792no—
1631C4×Q8—794no—
1632C4×Q8—792no—
1633C4×Q8—794no—
1634C4×Q8—794no—
1635C4×Q8—792no—
1636C4×Q8—792no—
1637C4×Q8—794no—
1638C4×Q8—794no—
1639C4×Q8—794no—
1640C4×Q8—792no—
1641C4×Q8—794no—
1642C4×Q8—792no—
1643C4×Q8—794no—
1644C4×Q8—792no—
1645C4×Q8—792no—
1646C4×Q8—792no—
1647C4×Q8—794no—
1648C4×Q8—794no—
1649C4×Q8—794no—
1650C4×Q8—794no—
1651C4×Q8—794no—
1652C4×Q8C22×D7912yes—
1653C4×D4—792no—
1654C4×D4—792no—
1655C4×D4—792no—
1656C4×D4—792no—
1657C4×D4—792no—
1658C4×D4—794no—
1659C4×D4—792no—
1660C4×D4—792no—
1661C4×D4—792no—
1662C4×D4—792no—
1663C4×D4—794no—
1664C4×D4—792no—
1665C4×D4—794no—
1666C4×D4—794no—
1667C4×D4—794no—
1668C4×D4—794no—
1669C4×D4—792no—
1670C4×D4—794no—
1671C4×D4—794no—
1672C4×D4—792no—
1673C4×D4—792no—
1674C4×D4—792no—
1675C4×D4—792no—
1676C4×D4—794no—
1677C4×D4—794no—
1678C4×D4—794no—
1679C4×D4—794no—
1680C4×D4—794no—
1681C4×D4—794no—
1682C4×D4—794no—
1683C4×D4—794no—
1684C4×D4—794no—
1685C4×D4—792no—
1686C4×D4—794no—
1687C4×D4—794no—
1688C4×D4—794no—
1689C4×D4—792no—
1690C4×D4—792no—
1691C4×D4—794no—
1692C4×D4—794no—
1693C4×D4—794no—
1694C4×D4—792no—
1695C4×D4—792no—
1696C4×D4—792no—
1697C4×D4—792no—
1698C4×D4—794no—
1699C4×D4—794no—
1700C4×D4—794no—
1701C4×D4—794no—
1702C4×D4—794no—
1703C4×D4—794no—
1704C4×D4—794no—
1705C4×D4—794no—
1706C4×D4—794no—
1707C4×D4—794no—
1708C4×D4—794no—
1709C4×D4—792no—
1710C4×D4—794no—
1711C4×D4C22×D7914yes—
1712C4×D4C22×D7912yes—
1713C4×D4C22×D7912yes—
1714C4×D4C22×D7912yes—
1715C4×D4C22×D7914yes—
1716C4×D4C22×D7914yes—
1717#117—791no—
1718#117—791no—
1719#117—792no—
1720#117—791no—
1721#117—791no—
1722#117—791no—
1723#117—794no—
1724#117—794no—
1725#117—791no—
1726#117—794no—
1727#117—792no—
1728#117—792no—
1729#117—792no—
1730#117—792no—
1731#117—794no—
1732#117—794no—
1733#117—794no—
1734#117—792no—
1735#117—792no—
1736#117—792no—
1737#117—792no—
1738#117—794no—
1739#117—794no—
1740#117—794no—
1741#117—794no—
1742#117—794no—
1743#117—794no—
1744#117—794no—
1745#117—794no—
1746#117—794no—
1747#117—794no—
1748#117—794no—
1749#117—794no—
1750#117—794no—
1751#117—794no—
1752#117C22×D7914yes—
1753#117C22×D7911yescharacteristic
1754#117C22×D7914yes—
1755#117C22×D7911yescharacteristic
1756C2×C4⋊C4—794no—
1757C2×C4⋊C4—794no—
1758C2×C4⋊C4—794no—
1759C2×C4⋊C4—794no—
1760C2×C4⋊C4—794no—
1761C2×C4⋊C4—792no—
1762C2×C4⋊C4—794no—
1763C2×C4⋊C4—794no—
1764C2×C4⋊C4—794no—
1765C2×C4⋊C4C22×D7912yes—
1766C2×C22⋊C4—794no—
1767C2×C22⋊C4—794no—
1768C2×C22⋊C4—794no—
1769C2×C22⋊C4—794no—
1770C2×C22⋊C4—794no—
1771C2×C22⋊C4C22×D7914yes—
1772C2×C42—794no—
1773C2×C42—791no—
1774C2×C42—791no—
1775C2×C42—792no—
1776C2×C42—792no—
1777C2×C42—791no—
1778C2×C42—794no—
1779C2×C42—792no—
1780C2×C42—792no—
1781C2×C42—792no—
1782C2×C42—792no—
1783C2×C42C22×D7911yescharacteristic
1784C24—792no—
1785C24—791no—
1786C24C23×D7912yes—
1787#41—42no—
1788#41—42no—
1789#41—44no—
1790#41—3164no—
1791#41—3168no—
1792#41—3164no—
1793#41—3168no—
1794#41—3168no—
1795#41—3168no—
1796#41—3164no—
1797#41—3164no—
1798#41—3164no—
1799C2×Q8—42no—
1800C2×Q8—3162no—
1801C2×Q8—3168no—
1802C2×Q8—792no—
1803C2×Q8—794no—
1804C2×Q8—794no—
1805C2×Q8—792no—
1806C2×Q8—792no—
1807C2×Q8—794no—
1808C2×Q8—794no—
1809C2×Q8—792no—
1810C2×Q8C23×D7912yes—
1811C2×Q8C23×D7911yescharacteristic
1812C2×Q8C23×D7912yes—
1813C2×Q8C23×D7911yescharacteristic
1814C2×D4—42no—
1815C2×D4—3162no—
1816C2×D4—3168no—
1817C2×D4—792no—
1818C2×D4—794no—
1819C2×D4—794no—
1820C2×D4—794no—
1821C2×D4—792no—
1822C2×D4—792no—
1823C2×D4—794no—
1824C2×D4—794no—
1825C2×D4—794no—
1826C2×D4—792no—
1827C2×D4—794no—
1828C2×D4—794no—
1829C2×D4—794no—
1830C2×D4—794no—
1831C2×D4—794no—
1832C2×D4—794no—
1833C2×D4—792no—
1834C2×D4—792no—
1835C2×D4C23×D7912yes—
1836C2×D4C23×D7911yescharacteristic
1837C2×D4C23×D7911yescharacteristic
1838C2×D4C23×D7912yes—
1839C2×D4C23×D7911yescharacteristic
1840C2×D4C23×D7914yes—
1841C2×D4C23×D7911yescharacteristic
1842C2×D4C23×D7912yes—
1843C2×D4C23×D7912yes—
1844C2×D4C23×D7914yes—
1845C2×D4C23×D7914yes—
1846C2×D4C23×D7914yes—
1847C2×D4C23×D7912yes—
1848C22×C4—3162no—
1849C22×C4—3164no—
1850C22×C4—791no—
1851C22×C4—794no—
1852C22×C4—794no—
1853C22×C4—794no—
1854C22×C4—794no—
1855C22×C4—792no—
1856C22×C4—794no—
1857C22×C4—792no—
1858C22×C4—792no—
1859C22×C4—792no—
1860C22×C4—794no—
1861C22×C4—794no—
1862C22×C4—794no—
1863C22×C4—794no—
1864C22×C4—794no—
1865C22×C4—794no—
1866C22×C4—792no—
1867C22×C4—792no—
1868C22×C4—792no—
1869C22×C4—792no—
1870C22×C4—792no—
1871C22×C4—792no—
1872C22×C4—792no—
1873C22×C4—792no—
1874C22×C4C23×D7911yescharacteristic
1875C22×C4C23×D7912yes—
1876C22×C4C23×D7911yescharacteristic
1877C22×C4C23×D7911yescharacteristic
1878C22×C4C23×D7912yes—
1879C22×C4C23×D7914yes—
1880C22×C4C23×D7914yes—
1881C22×C4C23×D7912yes—
1882C22×C4C23×D7914yes—
1883C4⋊C4—792no—
1884C4⋊C4—792no—
1885C4⋊C4—794no—
1886C4⋊C4—794no—
1887C4⋊C4—794no—
1888C4⋊C4—794no—
1889C4⋊C4—794no—
1890C4⋊C4—794no—
1891C4⋊C4—794no—
1892C4⋊C4—794no—
1893C4⋊C4—794no—
1894C4⋊C4—794no—
1895C4⋊C4—794no—
1896C4⋊C4—794no—
1897C4⋊C4—794no—
1898C4⋊C4—794no—
1899C4⋊C4—792no—
1900C4⋊C4—792no—
1901C4⋊C4—792no—
1902C4⋊C4—792no—
1903C4⋊C4—792no—
1904C4⋊C4—792no—
1905C4⋊C4—794no—
1906C4⋊C4—794no—
1907C4⋊C4—794no—
1908C4⋊C4—794no—
1909C4⋊C4—794no—
1910C4⋊C4—794no—
1911C4⋊C4—792no—
1912C4⋊C4—794no—
1913C4⋊C4—792no—
1914C4⋊C4—792no—
1915C4⋊C4—794no—
1916C4⋊C4—794no—
1917C4⋊C4—794no—
1918C4⋊C4—794no—
1919C4⋊C4—792no—
1920C4⋊C4—792no—
1921C4⋊C4—792no—
1922C4⋊C4—792no—
1923C4⋊C4—792no—
1924C4⋊C4—792no—
1925C4⋊C4—792no—
1926C4⋊C4—794no—
1927C4⋊C4—794no—
1928C4⋊C4C23×D7914yes—
1929C4⋊C4C23×D7914yes—
1930C4⋊C4C23×D7914yes—
1931C4⋊C4C23×D7912yes—
1932C4⋊C4C23×D7912yes—
1933C4⋊C4C23×D7914yes—
1934C4⋊C4C23×D7912yes—
1935C4⋊C4C23×D7914yes—
1936C4⋊C4C23×D7912yes—
1937C4⋊C4C23×D7914yes—
1938C4⋊C4C23×D7914yes—
1939C22⋊C4—792no—
1940C22⋊C4—792no—
1941C22⋊C4—794no—
1942C22⋊C4—792no—
1943C22⋊C4—794no—
1944C22⋊C4—794no—
1945C22⋊C4—794no—
1946C22⋊C4—794no—
1947C22⋊C4—792no—
1948C22⋊C4—792no—
1949C22⋊C4—794no—
1950C22⋊C4—792no—
1951C22⋊C4—792no—
1952C22⋊C4—792no—
1953C22⋊C4—792no—
1954C22⋊C4—792no—
1955C22⋊C4—792no—
1956C22⋊C4—794no—
1957C22⋊C4—794no—
1958C22⋊C4—794no—
1959C22⋊C4—791no—
1960C22⋊C4—791no—
1961C22⋊C4—794no—
1962C22⋊C4—794no—
1963C22⋊C4—794no—
1964C22⋊C4—794no—
1965C22⋊C4—794no—
1966C22⋊C4—794no—
1967C22⋊C4—792no—
1968C22⋊C4—792no—
1969C22⋊C4—794no—
1970C22⋊C4—794no—
1971C22⋊C4—794no—
1972C22⋊C4—794no—
1973C22⋊C4—794no—
1974C22⋊C4—794no—
1975C22⋊C4—794no—
1976C22⋊C4—794no—
1977C22⋊C4—794no—
1978C22⋊C4—794no—
1979C22⋊C4—792no—
1980C22⋊C4—792no—
1981C22⋊C4C23×D7912yes—
1982C22⋊C4C23×D7912yes—
1983C22⋊C4C23×D7914yes—
1984C22⋊C4C23×D7914yes—
1985C22⋊C4C23×D7914yes—
1986C22⋊C4C23×D7912yes—
1987C22⋊C4C23×D7912yes—
1988C22⋊C4C23×D7914yes—
1989C22⋊C4C23×D7912yes—
1990C22⋊C4C23×D7912yes—
1991C22⋊C4C23×D7914yes—
1992C22⋊C4C23×D7914yes—
1993C22⋊C4C23×D7914yes—
1994C22⋊C4C23×D7914yes—
1995C22⋊C4C23×D7914yes—
1996C42—792no—
1997C42—791no—
1998C42—792no—
1999C42—792no—
2000C42—791no—
2001C42—792no—
2002C42—792no—
2003C42—794no—
2004C42—794no—
2005C42—794no—
2006C42—794no—
2007C42—794no—
2008C42—792no—
2009C42—791no—
2010C42—792no—
2011C42—792no—
2012C42—792no—
2013C42—792no—
2014C42—791no—
2015C42—794no—
2016C42—794no—
2017C42—792no—
2018C42—794no—
2019C42—794no—
2020C42—792no—
2021C42C23×D7911yescharacteristic
2022C42C23×D7912yes—
2023C42C23×D7911yescharacteristic
2024C42C23×D7914yes—
2025C42C23×D7912yes—
2026C42C23×D7912yes—
2027C23—42no—
2028C23—44no—
2029C23—3162no—
2030C23—3161no—
2031C23—3164no—
2032C23—3162no—
2033C23—794no—
2034C23—792no—
2035C23C24×D7911yescharacteristic
2036C23C24×D7911yescharacteristic
2037C23C24×D7914yes—
2038C23C24×D7912yes—
2039C23C24×D7911yescharacteristic
2040Q8—24no—
2041Q8—42no—
2042Q8—41no—
2043Q8—41no—
2044Q8—3164no—
2045Q8—3164no—
2046Q8—3162no—
2047Q8—3162no—
2048Q8—3162no—
2049Q8—1588no—
2050Q8—1588no—
2051Q8—1584no—
2052D4—24no—
2053D4—42no—
2054D4—42no—
2055D4—41no—
2056D4—41no—
2057D4—41no—
2058D4—41no—
2059D4—44no—
2060D4—44no—
2061D4—44no—
2062D4—44no—
2063D4—42no—
2064D4—42no—
2065D4—3162no—
2066D4—3164no—
2067D4—3164no—
2068D4—3164no—
2069D4—3164no—
2070D4—3162no—
2071D4—3162no—
2072D4—3164no—
2073D4—3164no—
2074D4—3164no—
2075D4—3164no—
2076D4—3162no—
2077D4—3162no—
2078D4—3164no—
2079D4—3164no—
2080D4—1588no—
2081D4—1588no—
2082D4—1584no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—24no—
2087C2×C4—42no—
2088C2×C4—42no—
2089C2×C4—44no—
2090C2×C4—44no—
2091C2×C4—44no—
2092C2×C4—3162no—
2093C2×C4—3162no—
2094C2×C4—3162no—
2095C2×C4—3164no—
2096C2×C4—3164no—
2097C2×C4—3164no—
2098C2×C4—3164no—
2099C2×C4—3164no—
2100C2×C4—3164no—
2101C2×C4—3161no—
2102C2×C4—3164no—
2103C2×C4—3162no—
2104C2×C4—3164no—
2105C2×C4—3164no—
2106C2×C4—3164no—
2107C2×C4—3164no—
2108C2×C4—792no—
2109C2×C4—792no—
2110C2×C4—792no—
2111C2×C4—792no—
2112C2×C4—792no—
2113C2×C4—794no—
2114C2×C4—794no—
2115C2×C4—794no—
2116C2×C4—792no—
2117C2×C4—792no—
2118C2×C4—1584no—
2119C2×C4—1584no—
2120C2×C4—1584no—
2121C2×C4—1584no—
2122C2×C4—1584no—
2123C2×C4—1584no—
2124C2×C4—1584no—
2125C2×C4—1584no—
2126C2×C4C24×D7912yes—
2127C2×C4C24×D7911yescharacteristic
2128C2×C4C24×D7911yescharacteristic
2129C2×C4C24×D7914yes—
2130C2×C4C24×D7914yes—
2131C2×C4C24×D7911yescharacteristic
2132C2×C4C24×D7914yes—
2133C2×C4C24×D7912yes—
2134C2×C4C24×D7912yes—
2135C2×C4C24×D7911yescharacteristic
2136C22—22no—
2137C22—24no—
2138C22—22no—
2139C22—24no—
2140C22—22no—
2141C22—22no—
2142C22—22no—
2143C22—21no—
2144C22—21no—
2145C22—22no—
2146C22—21no—
2147C22—24no—
2148C22—162no—
2149C22—3164no—
2150C22—1584no—
2151C22—1584no—
2152C22—1582no—
2153C22—1582no—
2154C22—1584no—
2155C22—1582no—
2156C22—12642no—
2157C22C25×D7911yescharacteristic
2158C4—22no—
2159C4—24no—
2160C4—24no—
2161C4—22no—
2162C4—22no—
2163C4—21no—
2164C4—21no—
2165C4—21no—
2166C4—24no—
2167C4—794no—
2168C4—1582no—
2169C4—1582no—
2170C4—1582no—
2171C4—1584no—
2172C4—1584no—
2173C4—1582no—
2174C4—1582no—
2175C4—1582no—
2176C4—1584no—
2177C4#1909939812yes—
2178C2—41no—
2179C2—44no—
2180C2—41no—
2181C2—42no—
2182C2—41no—
2183C2—3162no—
2184C2—3164no—
2185C2#585×D7912yes—
2186C2C2×#1909939811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3551C2
hypercenter#3551D79
hypocenterC79#62839
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3551

Complements

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

NH ≅ G/Ntype
1. #23777902C2semidirect
2. #23777900C2semidirect
3. #23777827C2semidirect
4. #23777819C2semidirect
5. #23777677C2semidirect
6. #23777671C2semidirect
7. #23777666C2semidirect
8. #23777653C2semidirect
9. #23777652C2semidirect
10. #23777508C2semidirect
11. #23777503C2semidirect
12. #23777502C2semidirect
13. #23777500C2semidirect
14. #23777475C2semidirect
15. #23777464C2semidirect
16. #23777461C2semidirect
17. #23777457C2semidirect
18. #23777309C2semidirect
19. #23777306C2semidirect
20. #23777302C2semidirect
21. #23777285C2semidirect
22. #23777278C2semidirect
23. #23777275C2semidirect
24. #23777268C2semidirect
25. #23776695C2semidirect
26. #23776694C2semidirect
27. C79×#3551C2semidirect
28. #19099315C22semidirect
29. #19099315C22semidirect
30. #19099312C22semidirect
33. #19099303C22semidirect
34. #19099301C22semidirect
35. #19099301C22semidirect
36. #19099300C22semidirect
37. #19099300C22semidirect
38. #19099299C22semidirect
39. #19099297C22semidirect
40. #19099297C22semidirect
41. #19099296C22semidirect
42. #19099296C22semidirect
43. #19099295C22semidirect
44. #19099295C22semidirect
45. #19099295C22semidirect
46. #19099290C22semidirect
47. #19099290C22semidirect
48. #19099289C22semidirect
49. #19099288C22semidirect
50. #19099285C22semidirect
52. #19099284C22semidirect
54. #19099282C22semidirect
57. #19099280C22semidirect
58. #19099277C22semidirect
59. #19099277C22semidirect
60. #19099277C22semidirect
61. #19099277C22semidirect
62. #19099276C22semidirect
63. #19099275C22semidirect
64. #19099275C22semidirect
65. #19099272C22semidirect
66. #19099271C22semidirect
67. #19099269C22semidirect
68. #19099267C22semidirect
69. #19099265C22semidirect
70. #19099262C22semidirect
71. #19099261C22semidirect
72. #19099260C22semidirect
73. #19099259C22semidirect
74. #19099259C22semidirect
75. #19099258C22semidirect
76. #19099257C22semidirect
77. #19099256C22semidirect
78. #19099256C22semidirect
79. #19099256C22semidirect
80. #19099256C22semidirect
81. #19099256C22semidirect
82. #19099255C22semidirect
83. #19099255C22semidirect
84. #19099253C22semidirect
85. #19099252C22semidirect
86. #19099251C22semidirect
87. #19099250C22semidirect
88. #19099250C22semidirect
89. #19099250C22semidirect
90. #19099250C22semidirect
91. #19099249C22semidirect
92. #19099248C22semidirect
93. #19099246C22semidirect
94. #19099246C22semidirect
96. #19099244C22semidirect
98. #19099243C22semidirect
99. #19099241C22semidirect
106. #19099224C22semidirect
107. #19099222C22semidirect
108. #19099222C22semidirect
109. #19099219C22semidirect
110. #19099219C22semidirect
111. #19099219C22semidirect
112. #19099219C22semidirect
113. #19099215C22semidirect
114. #19099213C22semidirect
115. #19099212C22semidirect
116. #19099211C22semidirect
117. #19099209C22semidirect
122. #19099200C22semidirect
123. #19099200C22semidirect
124. #19099187C22semidirect
125. #19099186C22semidirect
126. #19099186C22semidirect
127. #19099186C22semidirect
128. #19099183C22semidirect
129. #19099181C22semidirect
130. #19099181C22semidirect
131. #19099180C22semidirect
132. #19099180C22semidirect
133. #19099179C22semidirect
134. #19099179C22semidirect
135. #19099178C22semidirect
136. #19099177C22semidirect
137. #19099177C22semidirect
138. #19099173C22semidirect
139. #19099173C22semidirect
140. #19099172C22semidirect
141. #19099170C22semidirect
143. #19099166C22semidirect
144. #19099166C22semidirect
145. #19099166C22semidirect
147. #19099163C22semidirect
148. #19099163C22semidirect
149. #19099163C22semidirect
150. #19099163C22semidirect
151. #19099162C22semidirect
152. #19099161C22semidirect
153. #19099159C22semidirect
154. #19099157C22semidirect
155. #19099156C22semidirect
156. #19099155C22semidirect
162. #19099141C22semidirect
163. #19099140C22semidirect
164. #19099140C22semidirect
169. #19099120C22semidirect
170. #19099119C22semidirect
171. #19099118C22semidirect
172. #19099117C22semidirect
173. #19099116C22semidirect
174. #19099116C22semidirect
175. #19099115C22semidirect
176. #19099115C22semidirect
177. #19099115C22semidirect
181. #19099109C22semidirect
183. #19099108C22semidirect
184. #19099108C22semidirect
185. C2×#14579160C22semidirect
186. C2×#14579159C22semidirect
187. C2×#14579157C22semidirect
188. #19099098C22semidirect
189. #19099097C22semidirect
190. #19099096C22semidirect
191. #19099096C22semidirect
193. #19099095C22semidirect
194. #19099095C22semidirect
196. #19099094C22semidirect
197. #19099094C22semidirect
198. #19099093C22semidirect
200. #19099092C22semidirect
201. #19099092C22semidirect
202. #19099092C22semidirect
203. #19099091C22semidirect
204. #19099091C22semidirect
205. #19099090C22semidirect
206. #19099090C22semidirect
207. C2×#14579154C22semidirect
208. #126×D79C22semidirect
209. #19099076C22semidirect
211. #19099073C22semidirect
212. #19099073C22semidirect
213. #19099072C22semidirect
214. #19099071C22semidirect
216. #19099070C22semidirect
217. #19099046C22semidirect
218. #19099044C22semidirect
219. #19099042C22semidirect
220. #19099042C22semidirect
221. #19099041C22semidirect
222. #19099040C22semidirect
223. #19099040C22semidirect
224. #19099038C22semidirect
225. #19099037C22semidirect
226. #19099036C22semidirect
228. #41×Dic79C22semidirect
229. C4×#11929625C22semidirect
230. #19099031C22semidirect
232. C4×#11929623C22semidirect
233. C4×#11929623C22semidirect
234. C4×#11929623C22semidirect
235. C2×C42×D79C22semidirect
236. #563×C79C22semidirect
237. #560×C79C22semidirect
238. #555×C79C22semidirect
239. #553×C79C22semidirect
240. #552×C79C22semidirect
241. #551×C79C22semidirect
242. #548×C79C22semidirect
243. #546×C79C22semidirect
244. #540×C79C22semidirect
246. #537×C79C22semidirect
250. #529×C79C22semidirect
1098. #3551D79semidirect
1121. C79#62839semidirect
1125. #563C2×D79semidirect
1133. #560C2×D79semidirect
1161. #555C2×D79semidirect
1179. #553C2×D79semidirect
1193. #552C2×D79semidirect
1201. #551C2×D79semidirect
1213. #548C2×D79semidirect
1225. #546C2×D79semidirect
1253. #540C2×D79semidirect
1269. #537C2×D79semidirect
1315. #529C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779022
#237779002
#237778272
#237778192
#237776772
#237776712
#237776662
#237776532
#237776522
#237775082
#237775032
#237775022
#237775002
#237774752
#237774642
#237774612
#237774572
#237773092
#237773062
#237773022
#237772852
#237772782
#237772752
#237772682
#237766952
#237766942
C79×#35512
#6283979