Finite Group Databasebeta

← #35197079

Subgroups — #35197079

Order 20224.

6636 conjugacy classes of subgroups.

The subgroup lattice has 2128 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778077C214yesmaximal, complemented
2#23778053C214yesmaximal, complemented
3#23778011C214yesmaximal, complemented
4#23777939C214yesmaximal, complemented
5#23777908C211yesmaximal, characteristic, complemented
6#23777905C211yesmaximal, characteristic, complemented
7#23777818C212yesmaximal, complemented
8#23777648C211yesmaximal, characteristic, complemented
9#23777638C211yesmaximal, characteristic, complemented
10#23777618C212yesmaximal, complemented
11#23777391C212yesmaximal, complemented
12#23777385C212yesmaximal, complemented
13#23777372C212yesmaximal, complemented
14#23777366C212yesmaximal, complemented
15#23777363C212yesmaximal, complemented
16#23777356C212yesmaximal, complemented
17#23777347C214yesmaximal, complemented
18#23777342C212yesmaximal, complemented
19#23777338C212yesmaximal, complemented
20#23777331C214yesmaximal, complemented
21#23777322C211yesmaximal, characteristic, complemented
22#23777289C212yesmaximal, complemented
23#23777116C214yesmaximal, complemented
24#23777095C214yesmaximal, complemented
25#23776693C211yesmaximal, characteristic, complemented
26#529×D79C212yesmaximal, complemented
27C79×#3512C211yesmaximal, characteristic, complemented
28#19099317C2214yescomplemented
29#19099316C2214yescomplemented
30#19099315C2214yescomplemented
31#19099314C2214yescomplemented
32#19099308C2214yescomplemented
33#19099308C2214yescomplemented
34#19099301C2214yes—
35#19099301C2214yescomplemented
36#19099299C2212yescomplemented
37#19099298C2212yescomplemented
38#19099297C2214yescomplemented
39#19099296C2214yescomplemented
40#19099290C2212yescomplemented
41#19099289C2212yescomplemented
42#19099287C2212yescomplemented
43#19099283C2214yescomplemented
44#19099283C2212yescomplemented
45#19099281C2214yescomplemented
46#19099280C2214yescomplemented
47#19099280C2214yescomplemented
48#19099278C2214yescomplemented
49#19099277C2214yescomplemented
50#19099277C2214yescomplemented
51#19099272C2212yescomplemented
52#19099271C2212yescomplemented
53#19099269C2212yescomplemented
54#19099269C2214yescomplemented
55#19099268C2214yescomplemented
56#19099268C2212yescomplemented
57#19099266C2212yes—
58#19099265C2212yescomplemented
59#19099264C2214yescomplemented
60#19099263C2212yes—
61#19099263C2214yescomplemented
62#19099263C2214yescomplemented
63#19099262C2214yescomplemented
64#19099262C2214yescomplemented
65#19099262C2214yescomplemented
66#19099261C2212yescomplemented
67#19099260C2214yescomplemented
68#19099255C2212yescomplemented
69#19099254C2214yescomplemented
70#19099254C2212yescomplemented
71#19099252C2214yescomplemented
72#19099251C2212yescomplemented
73#19099251C2214yescomplemented
74#19099250C2214yescomplemented
75#19099250C2214yescomplemented
76#19099248C2214yescomplemented
77#19099248C2212yescomplemented
78#19099248C2214yescomplemented
79#19099246C2214yescomplemented
80#19099245C2214yescomplemented
81#19099245C2214yescomplemented
82#19099245C2214yescomplemented
83#19099242C2214yescomplemented
84#19099242C2214yescomplemented
85#19099242C2214yescomplemented
86#19099241C2214yescomplemented
87#19099241C2214yescomplemented
88#19099240C2214yescomplemented
89#19099238C2214yescomplemented
90#19099238C2214yescomplemented
91#19099238C2214yescomplemented
92#19099238C2214yescomplemented
93#19099237C2214yescomplemented
94#19099237C2214yescomplemented
95#19099237C2214yescomplemented
96#19099236C2214yescomplemented
97Q8×D316C2212yescomplemented
98#19099228C2212yescomplemented
99#19099223C2212yescomplemented
100#19099223C2212yescomplemented
101#19099220C2212yescomplemented
102#19099220C2212yescomplemented
103#19099214C2212yescomplemented
104#19099214C2214yescomplemented
105#19099213C2212yescomplemented
106#19099211C2214yescomplemented
107#19099210C2212yescomplemented
108#19099210C2212yescomplemented
109#19099210C2214yescomplemented
110#19099210C2214yescomplemented
111#19099209C2214yescomplemented
112#19099209C2214yescomplemented
113#19099202C2214yescomplemented
114#19099202C2214yescomplemented
115#19099201C2212yescomplemented
116#19099201C2212yescomplemented
117D4×D316C2212yes—
118#19099198C2212yes—
119#19099197C2214yes—
120#19099193C2214yescomplemented
121#19099188C2214yescomplemented
122#19099186C2212yescomplemented
123#19099185C2212yescomplemented
124#19099184C2214yescomplemented
125#19099180C2212yescomplemented
126#19099180C2214yescomplemented
127#19099179C2214yescomplemented
128#19099179C2214yescomplemented
129#19099178C2214yescomplemented
130#19099178C2212yescomplemented
131#19099178C2214yescomplemented
132#19099175C2214yescomplemented
133#19099175C2211yescharacteristic, complemented
134#19099175C2211yescharacteristic, complemented
135#19099172C2214yescomplemented
136#19099172C2214yescomplemented
137#19099170C2214yescomplemented
138#19099168C2211yescharacteristic
139#19099168C2211yescharacteristic, complemented
140#19099166C2214yescomplemented
141#19099163C2214yescomplemented
142#19099161C2214yescomplemented
143#19099161C2214yescomplemented
144#19099160C2214yescomplemented
145#19099160C2214yescomplemented
146#19099159C2214yescomplemented
147#19099158C2214yescomplemented
148#19099156C2214yescomplemented
149#19099155C2214yescomplemented
150#19099154C2214yescomplemented
151#19099154C2214yescomplemented
152#19099150C2214yescomplemented
153#19099149C2214yes—
154#19099149C2214yescomplemented
155#19099149C2214yescomplemented
156#19099146C2214yescomplemented
157#19099145C2214yescomplemented
158#19099145C2214yescomplemented
159#19099145C2214yescomplemented
160#19099145C2214yescomplemented
161#19099145C2214yescomplemented
162#19099142C2214yescomplemented
163#19099141C2212yescomplemented
164#19099136C2212yescomplemented
165#19099129C2212yes—
166#19099124C2214yes—
167#19099119C2212yescomplemented
168#19099117C2212yescomplemented
169#19099116C2211yescharacteristic, complemented
170#19099113C2211yescharacteristic, complemented
171#19099110C2212yescomplemented
172#19099109C2211yescharacteristic, complemented
173#19099100C2212yescomplemented
174#19099100C2212yescomplemented
175#19099099C2212yescomplemented
176#19099098C2212yescomplemented
177#19099098C2214yescomplemented
178#19099098C2212yescomplemented
179#19099097C2212yescomplemented
180#19099097C2212yescomplemented
181#19099096C2214yescomplemented
182#19099096C2214yescomplemented
183#19099095C2212yescomplemented
184#19099095C2214yescomplemented
185#19099095C2212yescomplemented
186#19099094C2212yescomplemented
187#19099093C2212yescomplemented
188#19099093C2214yescomplemented
189#19099093C2212yescomplemented
190#19099092C2212yescomplemented
191#19099092C2212yescomplemented
192#19099091C2214yescomplemented
193#19099091C2212yescomplemented
194#19099091C2212yescomplemented
195#19099091C2214yescomplemented
196#19099090C2214yescomplemented
197#126×D79C2214yescomplemented
198C2×#14579153C2211yescharacteristic, complemented
199#125×D79C2212yescomplemented
200#124×D79C2212yescomplemented
201#124×D79C2212yescomplemented
202#19099075C2211yescharacteristic
203#19099073C2214yescomplemented
204#19099072C2212yescomplemented
205#19099072C2214yescomplemented
206#19099072C2212yescomplemented
207#19099070C2211yescharacteristic, complemented
208C2×#14579146C2214yescomplemented
209#123×D79C2214yescomplemented
210#123×D79C2214yescomplemented
211C22⋊Q8×D79C2212yescomplemented
212#121×D79C2212yes—
213#19099044C2214yescomplemented
214#19099043C2212yescomplemented
215#19099042C2214yescomplemented
216#19099039C2212yescomplemented
217#19099037C2214yescomplemented
218#19099035C2212yescomplemented
219#19099035C2214yescomplemented
220C4×#11929624C2211yescharacteristic, complemented
221C4×#11929624C2212yescomplemented
222C4×#11929624C2212yescomplemented
223C4×Q8×D79C2212yescomplemented
224C4×D4×D79C2214yescomplemented
225C4×D4×D79C2212yescomplemented
226#117×D79C2214yescomplemented
227C2×C42×D79C2211yescharacteristic, complemented
228#553×C79C2214yescomplemented
229#553×C79C2214yescomplemented
230#553×C79C2214yescomplemented
231#552×C79C2214yescomplemented
232#541×C79C2211yescharacteristic, complemented
233#541×C79C2211yescharacteristic, complemented
234#540×C79C2211yescharacteristic
235#540×C79C2211yescharacteristic, complemented
236#537×C79C2212yescomplemented
237#532×C79C2211yescharacteristic, complemented
238#529×C79C2212yescomplemented
239#529×C79C2212yescomplemented
240C2×#125×C79C2211yescharacteristic, complemented
241#520×C79C2212yescomplemented
242C4×#41×C79C2211yescharacteristic, complemented
243C2×#11929624C2311yescharacteristic
244C2×#11929624C2312yes—
245C2×#11929624C2314yes—
246C2×#11929624C2312yes—
247C2×#11929624C2312yes—
248C2×#11929623C2314yes—
249C2×Q8×D79C2312yes—
250C2×Q8×D79C2312yes—
251C22×D316C2314yes—
252C2×D4×D79C2314yes—
253C2×D4×D79C2314yes—
254C2×D4×D79C2312yes—
255C2×D4×D79C2312yes—
256C22×C4×D79C2312yes—
257C22×C4×D79C2311yescharacteristic
258C22×C4×D79C2314yes—
259#14579161C2311yescharacteristic
260#14579161C2314yes—
261#14579160C2314yes—
262#14579160C2314yes—
263#14579160C2314yes—
264#14579160C2314yes—
265#14579160C2312yes—
266#14579160C2312yes—
267#14579160C2312yes—
268#14579159C2311yescharacteristic
269#14579158C2311yescharacteristic
270#14579157C2314yes—
271#14579157C2311yescharacteristic
272#14579156C2314yes—
273#14579156C2314yes—
274#14579156C2314yes—
275#14579156C2314yes—
276#14579156C2314yes—
277#14579156C2314yes—
278#14579156C2314yes—
279#14579156C2314yes—
280#14579156C2314yes—
281#14579156C2314yes—
282#14579156C2314yes—
283#14579156C2312yes—
284#14579156C2312yes—
285#14579156C2314yes—
286#14579155C2314yes—
287#14579155C2314yes—
288#14579155C2314yes—
289#14579155C2314yes—
290#14579154C2314yes—
291#14579154C2314yes—
292#14579154C2314yes—
293#14579154C2314yes—
294#14579154C2314yes—
295#14579154C2314yes—
296#14579154C2314yes—
297#14579154C2314yes—
298#14579154C2314yes—
299#14579154C2314yes—
300#14579154C2314yes—
301#14579154C2312yes—
302#14579154C2312yes—
303#14579154C2314yes—
304#14579153C2314yes—
305#14579153C2314yes—
306#14579153C2311yescharacteristic
307#14579153C2311yescharacteristic
308#14579153C2312yes—
309#14579152C2314yes—
310#14579152C2314yes—
311#14579152C2314yes—
312#14579152C2312yes—
313#14579152C2312yes—
314#14579152C2312yes—
315#14579151C2314yes—
316#14579151C2312yes—
317#14579151C2314yes—
318#14579151C2314yes—
319#14579151C2314yes—
320#14579151C2314yes—
321#14579151C2312yes—
322#14579151C2314yes—
323#14579151C2314yes—
324#14579151C2314yes—
325#14579151C2314yes—
326#14579151C2314yes—
327#14579150C2312yes—
328#14579150C2312yes—
329#14579150C2311yescharacteristic
330#14579149C2314yes—
331#14579149C2314yes—
332#14579149C2312yes—
333#14579148C2314yes—
334#14579148C2314yes—
335#14579148C2314yes—
336#14579148C2312yes—
337#14579148C2314yes—
338#14579148C2312yes—
339#14579148C2311yescharacteristic
340#14579147C2314yes—
341#14579147C2312yes—
342#14579147C2314yes—
343#14579147C2314yes—
344#14579147C2314yes—
345#14579147C2312yes—
346#14579147C2314yes—
347#14579147C2314yes—
348#14579147C2314yes—
349#14579147C2314yes—
350#14579147C2314yes—
351#14579147C2314yes—
352#14579146C2314yes—
353#14579146C2314yes—
354#14579146C2314yes—
355#14579146C2314yes—
356#14579146C2314yes—
357#14579146C2314yes—
358#14579146C2314yes—
359#14579146C2314yes—
360#14579146C2314yes—
361#14579146C2314yes—
362#14579146C2314yes—
363#14579146C2314yes—
364#14579146C2314yes—
365#14579146C2312yes—
366#14579146C2314yes—
367#14579146C2312yes—
368#14579145C2314yes—
369#14579145C2314yes—
370#14579145C2314yes—
371#14579145C2312yes—
372#14579144C2314yes—
373#14579144C2314yes—
374#14579144C2314yes—
375#14579144C2314yes—
376#14579144C2314yes—
377#14579144C2314yes—
378#14579144C2314yes—
379#14579144C2314yes—
380#14579143C2314yes—
381#14579143C2314yes—
382#14579143C2314yes—
383#14579143C2314yes—
384#14579143C2314yes—
385#14579143C2314yes—
386#14579143C2314yes—
387#14579143C2314yes—
388#14579143C2312yes—
389#14579143C2312yes—
390#14579142C2314yes—
391#14579142C2314yes—
392#14579142C2314yes—
393#14579142C2314yes—
394#14579142C2314yes—
395#14579142C2311yescharacteristic
396#14579142C2311yescharacteristic
397#14579141C2312yes—
398#14579141C2314yes—
399#14579141C2312yes—
400#14579141C2314yes—
401#14579141C2314yes—
402#14579141C2314yes—
403#14579141C2314yes—
404#14579141C2314yes—
405#14579141C2312yes—
406#14579140C2312yes—
407#14579140C2312yes—
408#14579140C2314yes—
409#14579140C2314yes—
410#14579140C2314yes—
411#14579140C2314yes—
412#14579140C2314yes—
413#14579140C2314yes—
414#14579139C2314yes—
415#14579139C2314yes—
416#14579139C2314yes—
417#14579139C2314yes—
418#14579139C2314yes—
419#14579139C2314yes—
420#14579139C2314yes—
421#14579139C2314yes—
422#14579139C2314yes—
423#14579139C2314yes—
424#14579139C2314yes—
425#14579139C2314yes—
426#14579139C2312yes—
427#14579139C2312yes—
428#14579138C2314yes—
429#14579138C2314yes—
430#14579138C2314yes—
431#14579138C2312yes—
432#14579138C2314yes—
433#14579138C2314yes—
434#14579138C2312yes—
435#14579138C2314yes—
436#14579137C2312yes—
437#14579137C2314yes—
438#14579137C2312yes—
439#14579137C2312yes—
440#14579136C2312yes—
441#14579136C2314yes—
442#14579136C2312yes—
443#14579136C2312yes—
444#14579135C2312yes—
445#14579135C2312yes—
446#14579135C2314yes—
447#14579135C2314yes—
448#14579135C2314yes—
449#14579134C2314yes—
450#14579134C2314yes—
451#14579134C2314yes—
452#14579134C2314yes—
453#14579134C2314yes—
454#14579134C2314yes—
455#14579134C2312yes—
456#14579134C2312yes—
457#14579133C2314yes—
458#14579133C2314yes—
459#14579133C2314yes—
460#14579133C2312yes—
461#14579133C2314yes—
462#14579133C2314yes—
463#14579133C2312yes—
464#14579133C2314yes—
465#14579132C2314yes—
466#14579132C2312yes—
467#14579132C2314yes—
468#14579132C2314yes—
469#14579132C2314yes—
470#14579132C2314yes—
471#14579132C2314yes—
472#14579132C2312yes—
473#14579132C2312yes—
474#14579131C2314yes—
475#14579131C2314yes—
476#14579131C2312yes—
477#14579131C2314yes—
478#14579129C2314yes—
479#14579129C2314yes—
480#14579129C2314yes—
481#14579129C2314yes—
482#14579129C2314yes—
483#14579129C2314yes—
484#14579129C2314yes—
485#14579129C2311yescharacteristic
486#14579129C2311yescharacteristic
487Q8×Dic79C2312yes—
488Q8×Dic79C2312yes—
489C4×Dic158C2312yes—
490C4×Dic158C2312yes—
491C4×Dic158C2314yes—
492C4×Dic158C2312yes—
493C4×Dic158C2312yes—
494C4×Dic158C2314yes—
495C4×Dic158C2314yes—
496C4×Dic158C2312yes—
497C4×Dic158C2312yes—
498C4×Dic158C2312yes—
499#14579126C2314yes—
500#14579126C2314yes—
501#14579126C2314yes—
502#14579126C2312yes—
503#14579126C2314yes—
504#14579126C2312yes—
505#14579126C2314yes—
506C4×D316C2312yes—
507C4×D316C2314yes—
508C4×D316C2312yes—
509C4×D316C2314yes—
510C4×D316C2312yes—
511C4×D316C2312yes—
512C4×D316C2314yes—
513C4×D316C2312yes—
514C4×D316C2312yes—
515C4×D316C2314yes—
516C4×D316C2312yes—
517D4×Dic79C2314yes—
518D4×Dic79C2314yes—
519D4×Dic79C2314yes—
520D4×Dic79C2312yes—
521D4×Dic79C2312yes—
522#14579123C2314yes—
523#14579123C2314yes—
524#14579123C2314yes—
525#14579123C2314yes—
526#14579123C2314yes—
527#14579123C2314yes—
528#14579123C2312yes—
529#14579123C2312yes—
530C4×C22⋊D79C2312yes—
531C4×C22⋊D79C2312yes—
532C4×C22⋊D79C2314yes—
533C4×C22⋊D79C2314yes—
534C4×C22⋊D79C2314yes—
535C4×C22⋊D79C2314yes—
536C4×C22⋊D79C2312yes—
537C4×C22⋊D79C2312yes—
538C4×C22⋊D79C2314yes—
539C4×C22⋊D79C2314yes—
540C4×C22⋊D79C2314yes—
541C4×C22⋊D79C2314yes—
542C4×C22⋊D79C2312yes—
543C4×C22⋊D79C2312yes—
544C4×C22⋊D79C2314yes—
545C4×C22⋊D79C2312yes—
546C4×C22⋊D79C2312yes—
547C4×C22⋊D79C2312yes—
548C4×C22⋊D79C2314yes—
549C4×C22⋊D79C2312yes—
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#14579120C2314yes—
559#14579120C2311yescharacteristic
560#14579120C2314yes—
561#14579120C2314yes—
562#14579120C2312yes—
563#14579120C2312yes—
564#14579119C2312yes—
565#14579119C2314yes—
566#14579119C2314yes—
567#14579119C2314yes—
568#14579119C2314yes—
569#14579119C2314yes—
570#14579119C2314yes—
571#14579119C2314yes—
572#14579119C2312yes—
573#14579118C2312yes—
574#14579118C2314yes—
575#14579118C2314yes—
576#14579118C2314yes—
577#14579118C2314yes—
578#14579118C2312yes—
579#14579118C2312yes—
580#14579118C2314yes—
581#14579118C2312yes—
582#14579118C2312yes—
583#14579117C2314yes—
584#14579117C2314yes—
585#14579117C2314yes—
586#14579117C2314yes—
587C2×C4⋊Dic79C2312yes—
588C2×Dic79⋊C4C2314yes—
589C2×Dic79⋊C4C2314yes—
590C4⋊C4×D79C2314yes—
591C4⋊C4×D79C2314yes—
592C4⋊C4×D79C2314yes—
593C4⋊C4×D79C2314yes—
594C4⋊C4×D79C2314yes—
595C4⋊C4×D79C2312yes—
596C4⋊C4×D79C2312yes—
597C4⋊C4×D79C2314yes—
598C2×(C2×D79)⋊C4C2314yes—
599C2×(C2×D79)⋊C4C2314yes—
600C2×(C2×D79)⋊C4C2314yes—
601C22⋊C4×D79C2314yes—
602C22⋊C4×D79C2314yes—
603C22⋊C4×D79C2314yes—
604C22⋊C4×D79C2314yes—
605C22⋊C4×D79C2314yes—
606C22⋊C4×D79C2314yes—
607C22⋊C4×D79C2314yes—
608C22⋊C4×D79C2314yes—
609C22⋊C4×D79C2314yes—
610C22⋊C4×D79C2314yes—
611C2×C4×Dic79C2312yes—
612C2×C4×Dic79C2311yescharacteristic
613C42×D79C2312yes—
614C42×D79C2312yes—
615C42×D79C2312yes—
616C42×D79C2312yes—
617C42×D79C2314yes—
618C42×D79C2312yes—
619C2×#41×C79C2311yescharacteristic
620C2×#41×C79C2312yes—
621C4⋊Q8×C79C2311yescharacteristic
622#127×C79C2311yescharacteristic
623#126×C79C2314yes—
624#126×C79C2314yes—
625#126×C79C2314yes—
626#126×C79C2314yes—
627#125×C79C2314yes—
628#125×C79C2314yes—
629#125×C79C2314yes—
630#125×C79C2312yes—
631#125×C79C2311yescharacteristic
632#125×C79C2311yescharacteristic
633#124×C79C2312yes—
634#123×C79C2314yes—
635#123×C79C2314yes—
636#123×C79C2314yes—
637#123×C79C2314yes—
638C22⋊Q8×C79C2312yes—
639C22⋊Q8×C79C2314yes—
640C22⋊Q8×C79C2312yes—
641#121×C79C2314yes—
642#121×C79C2314yes—
643#121×C79C2314yes—
644#121×C79C2314yes—
645#121×C79C2314yes—
646#121×C79C2314yes—
647#121×C79C2312yes—
648#121×C79C2312yes—
649C4×Q8×C79C2312yes—
650C4×Q8×C79C2312yes—
651C4×Q8×C79C2312yes—
652C4×D4×C79C2314yes—
653C4×D4×C79C2314yes—
654C4×D4×C79C2314yes—
655C4×D4×C79C2312yes—
656C4×D4×C79C2314yes—
657C4×D4×C79C2312yes—
658C4×D4×C79C2312yes—
659C4×D4×C79C2312yes—
660C4×D4×C79C2312yes—
661C4×D4×C79C2314yes—
662#117×C79C2311yescharacteristic
663#117×C79C2311yescharacteristic
664#117×C79C2314yes—
665#117×C79C2314yes—
666#117×C79C2311yescharacteristic
667#117×C79C2314yes—
668C2×C4⋊C4×C79C2314yes—
669C2×C4⋊C4×C79C2314yes—
670C2×C4⋊C4×C79C2312yes—
671C2×C42×C79C2311yescharacteristic
672C2×C42×C79C2311yescharacteristic
673C2×C42×C79C2311yescharacteristic
674C23×D79C2411yescharacteristic
675C23×D79C2414yes—
676C23×D79C2414yes—
677#11929624—44no—
678#11929624—48no—
679#11929624—44no—
680#11929624—44no—
681#11929624—42no—
682#11929623—48no—
683C2×Dic158C2412yes—
684C2×Dic158C2414yes—
685C2×Dic158C2414yes—
686C2×Dic158C2414yes—
687C2×Dic158C2414yes—
688C2×Dic158C2412yes—
689C2×Dic158C2412yes—
690C2×Dic158C2411yescharacteristic
691Q8×D79—44no—
692Q8×D79—44no—
693C2×D316—48no—
694C2×D316C2414yes—
695C2×D316C2412yes—
696C2×D316C2412yes—
697C2×D316C2412yes—
698C2×D316C2411yescharacteristic
699C2×D316C2414yes—
700C2×D316C2414yes—
701C2×C22⋊D79C2412yes—
702C2×C22⋊D79C2414yes—
703C2×C22⋊D79C2412yes—
704C2×C22⋊D79C2414yes—
705C2×C22⋊D79C2412yes—
706C2×C22⋊D79C2412yes—
707C2×C22⋊D79C2414yes—
708C2×C22⋊D79C2412yes—
709C2×C22⋊D79C2414yes—
710C2×C22⋊D79C2414yes—
711C2×C22⋊D79C2414yes—
712C2×C22⋊D79C2414yes—
713D4×D79—48no—
714D4×D79—48no—
715D4×D79—44no—
716D4×D79—44no—
717C22×Dic79C2414yes—
718C22×Dic79C2414yes—
719C22×Dic79C2412yes—
720C22×Dic79C2411yescharacteristic
721C22×Dic79C2414yes—
722C2×C4×D79—42no—
723C2×C4×D79—44no—
724C2×C4×D79—48no—
725C2×C4×D79C2412yes—
726C2×C4×D79C2412yes—
727C2×C4×D79C2414yes—
728C2×C4×D79C2412yes—
729C2×C4×D79C2412yes—
730C2×C4×D79C2414yes—
731C2×C4×D79C2414yes—
732C2×C4×D79C2412yes—
733C2×C4×D79C2412yes—
734C2×C4×D79C2414yes—
735C2×C4×D79C2414yes—
736C2×C4×D79C2412yes—
737C2×C4×D79C2412yes—
738C2×C4×D79C2412yes—
739C2×C4×D79C2414yes—
740C2×C4×D79C2414yes—
741C2×C4×D79C2414yes—
742C2×C4×D79C2414yes—
743C4⋊Dic79C2414yes—
744C4⋊Dic79C2412yes—
745C4⋊Dic79C2412yes—
746C4⋊Dic79C2414yes—
747C4⋊Dic79C2414yes—
748C4⋊Dic79C2414yes—
749C4⋊Dic79C2414yes—
750C4⋊Dic79C2412yes—
751C4⋊Dic79C2414yes—
752C4⋊Dic79C2414yes—
753C4⋊Dic79C2412yes—
754C4⋊Dic79C2414yes—
755C4⋊Dic79C2412yes—
756C4⋊Dic79C2412yes—
757C4⋊Dic79C2412yes—
758Dic79⋊C4C2414yes—
759Dic79⋊C4C2412yes—
760Dic79⋊C4C2414yes—
761Dic79⋊C4C2414yes—
762Dic79⋊C4C2414yes—
763Dic79⋊C4C2414yes—
764Dic79⋊C4C2414yes—
765Dic79⋊C4C2414yes—
766Dic79⋊C4C2414yes—
767Dic79⋊C4C2414yes—
768Dic79⋊C4C2414yes—
769Dic79⋊C4C2414yes—
770Dic79⋊C4C2414yes—
771Dic79⋊C4C2412yes—
772Dic79⋊C4C2414yes—
773Dic79⋊C4C2414yes—
774Dic79⋊C4C2414yes—
775Dic79⋊C4C2414yes—
776Dic79⋊C4C2412yes—
777Dic79⋊C4C2412yes—
778Dic79⋊C4C2414yes—
779Dic79⋊C4C2412yes—
780Dic79⋊C4C2412yes—
781Dic79⋊C4C2412yes—
782Dic79⋊C4C2412yes—
783Dic79⋊C4C2412yes—
784Dic79⋊C4C2412yes—
785Dic79⋊C4C2414yes—
786C22⋊Dic79C2414yes—
787C22⋊Dic79C2414yes—
788C22⋊Dic79C2414yes—
789C22⋊Dic79C2414yes—
790C22⋊Dic79C2414yes—
791C22⋊Dic79C2414yes—
792C22⋊Dic79C2414yes—
793C22⋊Dic79C2414yes—
794C22⋊Dic79C2412yes—
795C22⋊Dic79C2414yes—
796C22⋊Dic79C2412yes—
797C22⋊Dic79C2411yescharacteristic
798C22⋊Dic79C2411yescharacteristic
799C22⋊Dic79C2414yes—
800C22⋊Dic79C2412yes—
801C22⋊Dic79C2412yes—
802(C2×D79)⋊C4C2414yes—
803(C2×D79)⋊C4C2412yes—
804(C2×D79)⋊C4C2412yes—
805(C2×D79)⋊C4C2412yes—
806(C2×D79)⋊C4C2414yes—
807(C2×D79)⋊C4C2414yes—
808(C2×D79)⋊C4C2414yes—
809(C2×D79)⋊C4C2414yes—
810(C2×D79)⋊C4C2414yes—
811(C2×D79)⋊C4C2414yes—
812(C2×D79)⋊C4C2414yes—
813(C2×D79)⋊C4C2414yes—
814(C2×D79)⋊C4C2414yes—
815(C2×D79)⋊C4C2414yes—
816(C2×D79)⋊C4C2414yes—
817(C2×D79)⋊C4C2414yes—
818(C2×D79)⋊C4C2414yes—
819(C2×D79)⋊C4C2412yes—
820(C2×D79)⋊C4C2412yes—
821(C2×D79)⋊C4C2412yes—
822(C2×D79)⋊C4C2414yes—
823(C2×D79)⋊C4C2414yes—
824(C2×D79)⋊C4C2414yes—
825(C2×D79)⋊C4C2412yes—
826(C2×D79)⋊C4C2412yes—
827(C2×D79)⋊C4C2414yes—
828(C2×D79)⋊C4C2412yes—
829(C2×D79)⋊C4C2412yes—
830(C2×D79)⋊C4C2414yes—
831(C2×D79)⋊C4C2414yes—
832C4×Dic79C2411yescharacteristic
833C4×Dic79C2412yes—
834C4×Dic79C2412yes—
835C4×Dic79C2412yes—
836C4×Dic79C2412yes—
837C4×Dic79C2412yes—
838C4×Dic79C2411yescharacteristic
839C4×Dic79C2412yes—
840C4×Dic79C2414yes—
841C4×Dic79C2414yes—
842C4×Dic79C2414yes—
843C4×Dic79C2412yes—
844C4×Dic79C2412yes—
845C4×Dic79C2414yes—
846C4×Dic79C2414yes—
847C4×Dic79C2414yes—
848C4×Dic79C2414yes—
849C4×Dic79C2414yes—
850#41×C79—42no—
851#41×C79—44no—
852C2×Q8×C79C2412yes—
853C2×Q8×C79C2411yescharacteristic
854C2×D4×C79C2412yes—
855C2×D4×C79C2414yes—
856C2×D4×C79C2414yes—
857C2×D4×C79C2411yescharacteristic
858C2×D4×C79C2411yescharacteristic
859C2×D4×C79C2411yescharacteristic
860C2×D4×C79C2414yes—
861C2×D4×C79C2414yes—
862C22×C4×C79C2411yescharacteristic
863C22×C4×C79C2411yescharacteristic
864C22×C4×C79C2411yescharacteristic
865C22×C4×C79C2412yes—
866C22×C4×C79C2412yes—
867C22×C4×C79C2414yes—
868C22×C4×C79C2412yes—
869C22×C4×C79C2414yes—
870C22×C4×C79C2414yes—
871C22×C4×C79C2414yes—
872C4⋊C4×C79C2412yes—
873C4⋊C4×C79C2414yes—
874C4⋊C4×C79C2414yes—
875C4⋊C4×C79C2414yes—
876C4⋊C4×C79C2412yes—
877C4⋊C4×C79C2412yes—
878C4⋊C4×C79C2414yes—
879C4⋊C4×C79C2414yes—
880C4⋊C4×C79C2414yes—
881C4⋊C4×C79C2414yes—
882C4⋊C4×C79C2412yes—
883C4⋊C4×C79C2412yes—
884C4⋊C4×C79C2414yes—
885C4⋊C4×C79C2414yes—
886C4⋊C4×C79C2414yes—
887C22⋊C4×C79C2414yes—
888C22⋊C4×C79C2412yes—
889C22⋊C4×C79C2412yes—
890C22⋊C4×C79C2412yes—
891C22⋊C4×C79C2414yes—
892C22⋊C4×C79C2414yes—
893C22⋊C4×C79C2414yes—
894C22⋊C4×C79C2414yes—
895C22⋊C4×C79C2414yes—
896C22⋊C4×C79C2414yes—
897C22⋊C4×C79C2414yes—
898C42×C79C2411yescharacteristic
899C42×C79C2411yescharacteristic
900C42×C79C2411yescharacteristic
901C42×C79C2412yes—
902C42×C79C2412yes—
903C42×C79C2411yescharacteristic
904C42×C79C2412yes—
905C42×C79C2414yes—
906C42×C79C2414yes—
907C23×C79C2514yes—
908C23×C79C2511yescharacteristic
909C23×C79C2511yescharacteristic
910C23×C79C2511yescharacteristic
911C22×D79—24no—
912C22×D79—28no—
913C22×D79—41no—
914C22×D79—44no—
915C22×D79—44no—
916C22×D79—44no—
917C22×D79—44no—
918C22×D79—44no—
919C22×D79C2514yes—
920C22×D79C2512yes—
921C22×D79C2512yes—
922Q8×C79—24no—
923Q8×C79—41no—
924D4×C79—24no—
925D4×C79—44no—
926D4×C79—44no—
927D4×C79—44no—
928D4×C79—41no—
929D4×C79—41no—
930D4×C79—41no—
931D4×C79—44no—
932C2×C4×C79—22no—
933C2×C4×C79—22no—
934C2×C4×C79—22no—
935C2×C4×C79—42no—
936C2×C4×C79—44no—
937C2×C4×C79—44no—
938C2×C4×C79—42no—
939C2×C4×C79—42no—
940C2×C4×C79—44no—
941C2×C4×C79—44no—
942C2×C4×C79C2512yes—
943C2×C4×C79C2512yes—
944C2×C4×C79C2514yes—
945C2×C4×C79C2514yes—
946C2×C4×C79C2511yescharacteristic
947C2×C4×C79C2512yes—
948C2×C4×C79C2514yes—
949C2×C4×C79C2511yescharacteristic
950C2×C4×C79C2511yescharacteristic
951C2×C4×C79C2512yes—
952C2×C4×C79C2511yescharacteristic
953C22⋊D79—28no—
954C22⋊D79—24no—
955C22⋊D79—24no—
956C22⋊D79—44no—
957C22⋊D79—44no—
958C22⋊D79—44no—
959C22⋊D79—44no—
960C22⋊D79—42no—
961C22⋊D79—42no—
962C22⋊D79—42no—
963C22⋊D79—44no—
964C22⋊D79—44no—
965C2×Dic79—41no—
966C2×Dic79—42no—
967C2×Dic79—44no—
968C2×Dic79—44no—
969C2×Dic79—44no—
970C2×Dic79C2512yes—
971C2×Dic79C2512yes—
972C2×Dic79C2512yes—
973C2×Dic79C2512yes—
974C2×Dic79C2514yes—
975C2×Dic79C2512yes—
976C2×Dic79C2512yes—
977C2×Dic79C2514yes—
978C2×Dic79C2514yes—
979D316—24no—
980D316—28no—
981D316—24no—
982D316—24no—
983D316—44no—
984D316—44no—
985D316—41no—
986C4×D79—24no—
987C4×D79—28no—
988C4×D79—24no—
989C4×D79—24no—
990C4×D79—24no—
991C4×D79—42no—
992C4×D79—42no—
993C4×D79—44no—
994C4×D79—42no—
995C4×D79—44no—
996C4×D79—44no—
997C4×D79—44no—
998C4×D79—44no—
999C4×D79—44no—
1000C4×D79—42no—
1001C4×D79—44no—
1002C4×D79—42no—
1003C4×D79—44no—
1004Dic158—24no—
1005Dic158—44no—
1006Dic158—44no—
1007Dic158—44no—
1008Dic158—42no—
1009Dic158—44no—
1010Dic158—42no—
1011Dic158—41no—
1012C22×C79—22no—
1013C22×C79—22no—
1014C22×C79—24no—
1015C22×C79—21no—
1016C22×C79—21no—
1017C22×C79—24no—
1018C22×C79—22no—
1019C22×C79—24no—
1020C22×C79—21no—
1021C22×C79C2611yescharacteristic
1022C2×D79—22no—
1023C2×D79—22no—
1024C2×D79—22no—
1025C2×D79—24no—
1026C2×D79—24no—
1027C2×D79—22no—
1028C2×D79—22no—
1029C2×D79—24no—
1030C2×D79—44no—
1031C2×D79—88no—
1032C2×D79—164no—
1033C2×D79#58514yes—
1034C4×C79—21no—
1035C4×C79—21no—
1036C4×C79—21no—
1037C4×C79—22no—
1038C4×C79—22no—
1039C4×C79—22no—
1040C4×C79—24no—
1041C4×C79—24no—
1042C4×C79—22no—
1043C4×C79—24no—
1044C4×C79#58512yes—
1045Dic79—24no—
1046Dic79—22no—
1047Dic79—22no—
1048Dic79—22no—
1049Dic79—22no—
1050Dic79—22no—
1051Dic79—24no—
1052Dic79—24no—
1053Dic79—22no—
1054#62829—791nomaximal, Sylow
1055C2×C79—41no—
1056C2×C79—44no—
1057C2×C79—41no—
1058C2×C79—41no—
1059C2×C79C2×#58512yes—
1060C2×C79C2×#58511yescharacteristic
1061D79—24no—
1062D79—44no—
1063D79—42no—
1064#3566—794no—
1065#3566—794no—
1066#3564—794no—
1067#3560—794no—
1068#3557—791no—
1069#3557—791no—
1070#3551—792no—
1071#3538—791no—
1072#3537—791no—
1073#3536—792no—
1074#3516—792no—
1075#3516—792no—
1076#3515—792no—
1077#3515—792no—
1078#3514—792no—
1079#3514—792no—
1080#3513—794no—
1081#3513—794no—
1082#3513—792no—
1083#3513—792no—
1084#3512—791no—
1085#3512D7911yescharacteristic, complemented
1086#3510—792no—
1087#3493—794no—
1088#3491—794no—
1089#3444—791no—
1090C2×#529—792no—
1091C79#6282911yescharacteristic, complemented, Sylow
1092#563—794no—
1093#563—794no—
1094#563—794no—
1095#563—794no—
1096#562—794no—
1097#562—794no—
1098#560—794no—
1099#560—794no—
1100#559—792no—
1101#559—794no—
1102#559—792no—
1103#559—794no—
1104#557—792no—
1105#557—792no—
1106#556—792no—
1107#556—794no—
1108#556—794no—
1109#556—794no—
1110#556—792no—
1111#556—794no—
1112#555—794no—
1113#555—794no—
1114#555—794no—
1115#554—792no—
1116#554—794no—
1117#554—792no—
1118#554—792no—
1119#554—794no—
1120#554—792no—
1121#553—794no—
1122#553—792no—
1123#553—794no—
1124#553—792no—
1125#553—794no—
1126#553—794no—
1127#553—794no—
1128#553—792no—
1129#553—794no—
1130#553—794no—
1131#553—792no—
1132#553C2×D7914yescomplemented
1133#553C2×D7914yescomplemented
1134#553C2×D7914yescomplemented
1135#552—794no—
1136#552—794no—
1137#552—794no—
1138#552—794no—
1139#552—792no—
1140#552—794no—
1141#552—794no—
1142#552—792no—
1143#552—794no—
1144#552—792no—
1145#552—794no—
1146#552—794no—
1147#552—794no—
1148#552—794no—
1149#552—792no—
1150#552C2×D7914yescomplemented
1151#551—794no—
1152#551—794no—
1153#551—794no—
1154#551—794no—
1155#551—794no—
1156#551—794no—
1157#551—794no—
1158#551—794no—
1159#551—794no—
1160#551—794no—
1161#551—794no—
1162#551—794no—
1163#551—794no—
1164#551—794no—
1165D4×Q8—792no—
1166D4×Q8—792no—
1167#548—792no—
1168#548—792no—
1169#548—792no—
1170#548—792no—
1171#547—794no—
1172#547—792no—
1173#547—792no—
1174#547—794no—
1175#546—792no—
1176#546—792no—
1177#546—794no—
1178#546—794no—
1179#546—794no—
1180#546—792no—
1181#546—792no—
1182#546—794no—
1183#546—794no—
1184#546—794no—
1185D42—792no—
1186D42—794no—
1187D42—792no—
1188#544—794no—
1189#543—794no—
1190#542—794no—
1191#542—794no—
1192#542—792no—
1193#542—792no—
1194#542—794no—
1195#542—792no—
1196#542—792no—
1197#542—794no—
1198#542—794no—
1199#542—794no—
1200#541—794no—
1201#541—794no—
1202#541—794no—
1203#541—791no—
1204#541—791no—
1205#541—794no—
1206#541C2×D7911yescharacteristic, complemented
1207#541C2×D7911yescharacteristic, complemented
1208#540—794no—
1209#540—794no—
1210#540—791no—
1211#540—791no—
1212#540C2×D7911yescharacteristic
1213#540C2×D7911yescharacteristic, complemented
1214#539—794no—
1215#539—794no—
1216#539—794no—
1217#539—794no—
1218#539—794no—
1219#539—794no—
1220#539—794no—
1221#539—794no—
1222#539—794no—
1223#539—794no—
1224#538—794no—
1225#538—794no—
1226#538—794no—
1227#538—794no—
1228#538—794no—
1229#538—794no—
1230#538—794no—
1231#538—794no—
1232#538—794no—
1233#538—794no—
1234#537—792no—
1235#537—794no—
1236#537C2×D7912yescomplemented
1237#536—792no—
1238#535—792no—
1239#534—794no—
1240#533—792no—
1241#533—792no—
1242#533—791no—
1243#532—791no—
1244#532—792no—
1245#532—791no—
1246#532C2×D7911yescharacteristic, complemented
1247#529—794no—
1248#529—794no—
1249#529—792no—
1250#529—794no—
1251#529—792no—
1252#529—792no—
1253#529—792no—
1254#529—794no—
1255#529—792no—
1256#529—792no—
1257#529—792no—
1258#529—792no—
1259#529—792no—
1260#529—794no—
1261#529—792no—
1262#529—792no—
1263#529—792no—
1264#529—794no—
1265#529—794no—
1266#529—792no—
1267#529—792no—
1268#529—794no—
1269#529—792no—
1270#529—792no—
1271#529C2×D7912yescomplemented
1272#529C2×D7912yescomplemented
1273C2×#126—794no—
1274C2×#125—792no—
1275C2×#125—791no—
1276C2×#125C2×D7911yescharacteristic, complemented
1277C2×#124—792no—
1278C2×#124—792no—
1279#525—791no—
1280#525—794no—
1281#525—792no—
1282#525—792no—
1283#525—794no—
1284#525—791no—
1285C2×#123—794no—
1286C2×#123—794no—
1287C2×#123—794no—
1288C2×C22⋊Q8—792no—
1289C2×#121—792no—
1290#520—794no—
1291#520—792no—
1292#520—794no—
1293#520C2×D7912yescomplemented
1294#519—792no—
1295#518—794no—
1296#518—792no—
1297#518—794no—
1298C4×#41—791no—
1299C4×#41—792no—
1300C4×#41—792no—
1301C4×#41C2×D7911yescharacteristic, complemented
1302C2×C4×Q8—792no—
1303C2×C4×D4—794no—
1304C2×C4×D4—792no—
1305C2×#117—794no—
1306C22×C42—791no—
1307C2×#41—794no—
1308C2×#41—791no—
1309C2×#41—792no—
1310C2×#41—792no—
1311C2×#41—794no—
1312C2×#41—792no—
1313C2×#41C22×D7911yescharacteristic
1314C2×#41C22×D7912yes—
1315C22×Q8—792no—
1316C22×Q8—792no—
1317C22×D4—794no—
1318C22×D4—792no—
1319C22×D4—794no—
1320C22×D4—792no—
1321C22×D4—794no—
1322C23×C4—794no—
1323C23×C4—792no—
1324C23×C4—791no—
1325C4⋊Q8—791no—
1326C4⋊Q8—792no—
1327C4⋊Q8—792no—
1328C4⋊Q8—792no—
1329C4⋊Q8—794no—
1330C4⋊Q8—794no—
1331C4⋊Q8—794no—
1332C4⋊Q8—794no—
1333C4⋊Q8—791no—
1334C4⋊Q8—794no—
1335C4⋊Q8C22×D7911yescharacteristic
1336#127—791no—
1337#127—794no—
1338#127—791no—
1339#127C22×D7911yescharacteristic
1340#126—794no—
1341#126—794no—
1342#126—794no—
1343#126—792no—
1344#126—792no—
1345#126—794no—
1346#126—794no—
1347#126—794no—
1348#126—794no—
1349#126—794no—
1350#126—794no—
1351#126—794no—
1352#126—794no—
1353#126—794no—
1354#126—794no—
1355#126—794no—
1356#126—794no—
1357#126—792no—
1358#126—792no—
1359#126—794no—
1360#126—794no—
1361#126—794no—
1362#126—794no—
1363#126—794no—
1364#126—794no—
1365#126—794no—
1366#126—794no—
1367#126—794no—
1368#126—794no—
1369#126—794no—
1370#126—794no—
1371#126—794no—
1372#126C22×D7914yes—
1373#126C22×D7914yes—
1374#126C22×D7914yes—
1375#126C22×D7914yes—
1376#125—794no—
1377#125—794no—
1378#125—792no—
1379#125—792no—
1380#125—792no—
1381#125—792no—
1382#125—792no—
1383#125—794no—
1384#125—794no—
1385#125—794no—
1386#125—794no—
1387#125—794no—
1388#125—794no—
1389#125—794no—
1390#125—794no—
1391#125—794no—
1392#125—794no—
1393#125—794no—
1394#125—792no—
1395#125—794no—
1396#125—791no—
1397#125—791no—
1398#125—794no—
1399#125C22×D7912yes—
1400#125C22×D7914yes—
1401#125C22×D7911yescharacteristic
1402#125C22×D7911yescharacteristic
1403#125C22×D7914yes—
1404#125C22×D7914yes—
1405#124—792no—
1406#124—792no—
1407#124—791no—
1408#124—792no—
1409#124—792no—
1410#124—791no—
1411#124—794no—
1412#124—794no—
1413#124—794no—
1414#124—794no—
1415#124—794no—
1416#124—794no—
1417#124—794no—
1418#124—794no—
1419#124—792no—
1420#124—792no—
1421#124—794no—
1422#124—794no—
1423#124—794no—
1424#124—794no—
1425#124—794no—
1426#124—794no—
1427#124—792no—
1428#124—794no—
1429#124—794no—
1430#124C22×D7912yes—
1431#123—794no—
1432#123—794no—
1433#123—791no—
1434#123—791no—
1435#123—794no—
1436#123—794no—
1437#123—794no—
1438#123—794no—
1439#123—794no—
1440#123—794no—
1441#123—794no—
1442#123—794no—
1443#123—794no—
1444#123—794no—
1445#123—794no—
1446#123—794no—
1447#123—792no—
1448#123—792no—
1449#123—794no—
1450#123—794no—
1451#123—794no—
1452#123—794no—
1453#123—794no—
1454#123—794no—
1455#123—794no—
1456#123—794no—
1457#123—794no—
1458#123—794no—
1459#123—794no—
1460#123—794no—
1461#123—794no—
1462#123—794no—
1463#123—794no—
1464#123—794no—
1465#123—794no—
1466#123—794no—
1467#123—792no—
1468#123—792no—
1469#123—792no—
1470#123—794no—
1471#123—794no—
1472#123—794no—
1473#123—794no—
1474#123—794no—
1475#123—794no—
1476#123C22×D7914yes—
1477#123C22×D7914yes—
1478#123C22×D7914yes—
1479#123C22×D7914yes—
1480C22⋊Q8—792no—
1481C22⋊Q8—792no—
1482C22⋊Q8—792no—
1483C22⋊Q8—794no—
1484C22⋊Q8—792no—
1485C22⋊Q8—794no—
1486C22⋊Q8—792no—
1487C22⋊Q8—794no—
1488C22⋊Q8—794no—
1489C22⋊Q8—794no—
1490C22⋊Q8—794no—
1491C22⋊Q8—794no—
1492C22⋊Q8—794no—
1493C22⋊Q8—792no—
1494C22⋊Q8—792no—
1495C22⋊Q8—792no—
1496C22⋊Q8—792no—
1497C22⋊Q8—794no—
1498C22⋊Q8—794no—
1499C22⋊Q8—792no—
1500C22⋊Q8—794no—
1501C22⋊Q8—794no—
1502C22⋊Q8—794no—
1503C22⋊Q8—794no—
1504C22⋊Q8—794no—
1505C22⋊Q8—794no—
1506C22⋊Q8—794no—
1507C22⋊Q8—794no—
1508C22⋊Q8—794no—
1509C22⋊Q8—794no—
1510C22⋊Q8—794no—
1511C22⋊Q8—794no—
1512C22⋊Q8—794no—
1513C22⋊Q8—794no—
1514C22⋊Q8—794no—
1515C22⋊Q8—794no—
1516C22⋊Q8—792no—
1517C22⋊Q8—792no—
1518C22⋊Q8—794no—
1519C22⋊Q8—794no—
1520C22⋊Q8—794no—
1521C22⋊Q8—794no—
1522C22⋊Q8—794no—
1523C22⋊Q8C22×D7912yes—
1524C22⋊Q8C22×D7912yes—
1525C22⋊Q8C22×D7914yes—
1526#121—792no—
1527#121—794no—
1528#121—792no—
1529#121—792no—
1530#121—792no—
1531#121—794no—
1532#121—794no—
1533#121—792no—
1534#121—794no—
1535#121—794no—
1536#121—794no—
1537#121—794no—
1538#121—794no—
1539#121—794no—
1540#121—794no—
1541#121—794no—
1542#121—794no—
1543#121—792no—
1544#121—792no—
1545#121—794no—
1546#121—794no—
1547#121—794no—
1548#121—792no—
1549#121—792no—
1550#121—794no—
1551#121—792no—
1552#121—794no—
1553#121—792no—
1554#121—792no—
1555#121—794no—
1556#121—794no—
1557#121—794no—
1558#121—794no—
1559#121—794no—
1560#121C22×D7912yes—
1561#121C22×D7914yes—
1562#121C22×D7912yes—
1563#121C22×D7914yes—
1564#121C22×D7914yes—
1565#121C22×D7914yes—
1566#121C22×D7914yes—
1567#121C22×D7914yes—
1568#120—791no—
1569#120—791no—
1570#120—794no—
1571#120—794no—
1572#120—794no—
1573#120—794no—
1574#120—794no—
1575#120—794no—
1576#120—794no—
1577#120—792no—
1578#120—794no—
1579#120—794no—
1580#120—794no—
1581C4×Q8—792no—
1582C4×Q8—792no—
1583C4×Q8—792no—
1584C4×Q8—794no—
1585C4×Q8—794no—
1586C4×Q8—792no—
1587C4×Q8—794no—
1588C4×Q8—794no—
1589C4×Q8—794no—
1590C4×Q8—792no—
1591C4×Q8—794no—
1592C4×Q8—792no—
1593C4×Q8—792no—
1594C4×Q8—792no—
1595C4×Q8—792no—
1596C4×Q8—792no—
1597C4×Q8—794no—
1598C4×Q8—792no—
1599C4×Q8—794no—
1600C4×Q8C22×D7912yes—
1601C4×Q8C22×D7912yes—
1602C4×Q8C22×D7912yes—
1603C4×D4—794no—
1604C4×D4—792no—
1605C4×D4—794no—
1606C4×D4—792no—
1607C4×D4—794no—
1608C4×D4—794no—
1609C4×D4—794no—
1610C4×D4—794no—
1611C4×D4—792no—
1612C4×D4—792no—
1613C4×D4—792no—
1614C4×D4—792no—
1615C4×D4—792no—
1616C4×D4—792no—
1617C4×D4—792no—
1618C4×D4—792no—
1619C4×D4—792no—
1620C4×D4—792no—
1621C4×D4—794no—
1622C4×D4—794no—
1623C4×D4—794no—
1624C4×D4—794no—
1625C4×D4—794no—
1626C4×D4—794no—
1627C4×D4—794no—
1628C4×D4—794no—
1629C4×D4—792no—
1630C4×D4—794no—
1631C4×D4—794no—
1632C4×D4—794no—
1633C4×D4—794no—
1634C4×D4—792no—
1635C4×D4—794no—
1636C4×D4—794no—
1637C4×D4—794no—
1638C4×D4—794no—
1639C4×D4—794no—
1640C4×D4—794no—
1641C4×D4—794no—
1642C4×D4—794no—
1643C4×D4—794no—
1644C4×D4—792no—
1645C4×D4—794no—
1646C4×D4—792no—
1647C4×D4—792no—
1648C4×D4—792no—
1649C4×D4—792no—
1650C4×D4—792no—
1651C4×D4—794no—
1652C4×D4—794no—
1653C4×D4—794no—
1654C4×D4—792no—
1655C4×D4C22×D7912yes—
1656C4×D4C22×D7914yes—
1657C4×D4C22×D7912yes—
1658C4×D4C22×D7912yes—
1659C4×D4C22×D7912yes—
1660C4×D4C22×D7914yes—
1661C4×D4C22×D7914yes—
1662C4×D4C22×D7914yes—
1663C4×D4C22×D7914yes—
1664C4×D4C22×D7912yes—
1665#117—794no—
1666#117—791no—
1667#117—792no—
1668#117—792no—
1669#117—794no—
1670#117—794no—
1671#117—794no—
1672#117—794no—
1673#117—794no—
1674#117—792no—
1675#117—794no—
1676#117—792no—
1677#117—794no—
1678#117—794no—
1679#117—794no—
1680#117—794no—
1681#117—794no—
1682#117—794no—
1683#117—794no—
1684#117—794no—
1685#117—794no—
1686#117—792no—
1687#117—792no—
1688#117—792no—
1689#117—792no—
1690#117—792no—
1691#117—794no—
1692#117—794no—
1693#117—794no—
1694#117C22×D7914yes—
1695#117C22×D7911yescharacteristic
1696#117C22×D7911yescharacteristic
1697#117C22×D7911yescharacteristic
1698#117C22×D7914yes—
1699#117C22×D7914yes—
1700C2×C4⋊C4—794no—
1701C2×C4⋊C4—792no—
1702C2×C4⋊C4—794no—
1703C2×C4⋊C4—794no—
1704C2×C4⋊C4—794no—
1705C2×C4⋊C4—792no—
1706C2×C4⋊C4—794no—
1707C2×C4⋊C4—792no—
1708C2×C4⋊C4—794no—
1709C2×C4⋊C4—794no—
1710C2×C4⋊C4—794no—
1711C2×C4⋊C4C22×D7914yes—
1712C2×C4⋊C4C22×D7914yes—
1713C2×C4⋊C4C22×D7912yes—
1714C2×C22⋊C4—794no—
1715C2×C22⋊C4—794no—
1716C2×C22⋊C4—794no—
1717C2×C22⋊C4—794no—
1718C2×C22⋊C4—794no—
1719C2×C22⋊C4—794no—
1720C2×C22⋊C4—794no—
1721C2×C22⋊C4—794no—
1722C2×C22⋊C4—794no—
1723C2×C22⋊C4—794no—
1724C2×C22⋊C4—794no—
1725C2×C22⋊C4—794no—
1726C2×C22⋊C4—794no—
1727C2×C42—792no—
1728C2×C42—791no—
1729C2×C42—792no—
1730C2×C42—794no—
1731C2×C42—792no—
1732C2×C42—792no—
1733C2×C42—792no—
1734C2×C42—792no—
1735C2×C42C22×D7911yescharacteristic
1736C2×C42C22×D7911yescharacteristic
1737C2×C42C22×D7911yescharacteristic
1738C24—794no—
1739C24—794no—
1740C24—791no—
1741#41—42no—
1742#41—44no—
1743#41—3164no—
1744#41—3162no—
1745#41—3164no—
1746#41—3164no—
1747#41—3168no—
1748#41—3168no—
1749C2×Q8—3164no—
1750C2×Q8—3164no—
1751C2×Q8—794no—
1752C2×Q8—794no—
1753C2×Q8—794no—
1754C2×Q8—792no—
1755C2×Q8—792no—
1756C2×Q8—794no—
1757C2×Q8—791no—
1758C2×Q8—792no—
1759C2×Q8C23×D7912yes—
1760C2×Q8C23×D7911yescharacteristic
1761C2×D4—3168no—
1762C2×D4—3168no—
1763C2×D4—3168no—
1764C2×D4—3164no—
1765C2×D4—3164no—
1766C2×D4—792no—
1767C2×D4—794no—
1768C2×D4—794no—
1769C2×D4—794no—
1770C2×D4—792no—
1771C2×D4—792no—
1772C2×D4—794no—
1773C2×D4—794no—
1774C2×D4—794no—
1775C2×D4—792no—
1776C2×D4—792no—
1777C2×D4—794no—
1778C2×D4—791no—
1779C2×D4—794no—
1780C2×D4—794no—
1781C2×D4—794no—
1782C2×D4—792no—
1783C2×D4—792no—
1784C2×D4—792no—
1785C2×D4C23×D7912yes—
1786C2×D4C23×D7914yes—
1787C2×D4C23×D7914yes—
1788C2×D4C23×D7914yes—
1789C2×D4C23×D7914yes—
1790C2×D4C23×D7911yescharacteristic
1791C2×D4C23×D7911yescharacteristic
1792C2×D4C23×D7911yescharacteristic
1793C22×C4—3162no—
1794C22×C4—3164no—
1795C22×C4—3168no—
1796C22×C4—792no—
1797C22×C4—791no—
1798C22×C4—794no—
1799C22×C4—794no—
1800C22×C4—794no—
1801C22×C4—792no—
1802C22×C4—792no—
1803C22×C4—792no—
1804C22×C4—794no—
1805C22×C4—792no—
1806C22×C4—792no—
1807C22×C4—794no—
1808C22×C4—794no—
1809C22×C4—794no—
1810C22×C4—794no—
1811C22×C4—794no—
1812C22×C4—794no—
1813C22×C4—794no—
1814C22×C4—792no—
1815C22×C4—792no—
1816C22×C4—792no—
1817C22×C4—792no—
1818C22×C4—794no—
1819C22×C4C23×D7911yescharacteristic
1820C22×C4C23×D7911yescharacteristic
1821C22×C4C23×D7911yescharacteristic
1822C22×C4C23×D7912yes—
1823C22×C4C23×D7912yes—
1824C22×C4C23×D7912yes—
1825C22×C4C23×D7914yes—
1826C22×C4C23×D7914yes—
1827C22×C4C23×D7914yes—
1828C22×C4C23×D7914yes—
1829C4⋊C4—794no—
1830C4⋊C4—794no—
1831C4⋊C4—794no—
1832C4⋊C4—792no—
1833C4⋊C4—792no—
1834C4⋊C4—794no—
1835C4⋊C4—794no—
1836C4⋊C4—794no—
1837C4⋊C4—794no—
1838C4⋊C4—794no—
1839C4⋊C4—794no—
1840C4⋊C4—794no—
1841C4⋊C4—794no—
1842C4⋊C4—794no—
1843C4⋊C4—794no—
1844C4⋊C4—794no—
1845C4⋊C4—794no—
1846C4⋊C4—794no—
1847C4⋊C4—792no—
1848C4⋊C4—792no—
1849C4⋊C4—794no—
1850C4⋊C4—792no—
1851C4⋊C4—792no—
1852C4⋊C4—792no—
1853C4⋊C4—792no—
1854C4⋊C4—792no—
1855C4⋊C4—792no—
1856C4⋊C4—794no—
1857C4⋊C4—794no—
1858C4⋊C4—792no—
1859C4⋊C4—792no—
1860C4⋊C4—794no—
1861C4⋊C4—794no—
1862C4⋊C4—794no—
1863C4⋊C4—794no—
1864C4⋊C4—792no—
1865C4⋊C4—792no—
1866C4⋊C4—794no—
1867C4⋊C4—794no—
1868C4⋊C4—792no—
1869C4⋊C4—792no—
1870C4⋊C4—792no—
1871C4⋊C4—794no—
1872C4⋊C4C23×D7912yes—
1873C4⋊C4C23×D7914yes—
1874C4⋊C4C23×D7912yes—
1875C4⋊C4C23×D7912yes—
1876C4⋊C4C23×D7914yes—
1877C4⋊C4C23×D7914yes—
1878C4⋊C4C23×D7914yes—
1879C4⋊C4C23×D7914yes—
1880C4⋊C4C23×D7912yes—
1881C4⋊C4C23×D7914yes—
1882C4⋊C4C23×D7914yes—
1883C4⋊C4C23×D7914yes—
1884C4⋊C4C23×D7914yes—
1885C4⋊C4C23×D7914yes—
1886C4⋊C4C23×D7912yes—
1887C22⋊C4—794no—
1888C22⋊C4—794no—
1889C22⋊C4—794no—
1890C22⋊C4—794no—
1891C22⋊C4—794no—
1892C22⋊C4—794no—
1893C22⋊C4—794no—
1894C22⋊C4—794no—
1895C22⋊C4—792no—
1896C22⋊C4—792no—
1897C22⋊C4—794no—
1898C22⋊C4—791no—
1899C22⋊C4—791no—
1900C22⋊C4—794no—
1901C22⋊C4—792no—
1902C22⋊C4—792no—
1903C22⋊C4—794no—
1904C22⋊C4—794no—
1905C22⋊C4—792no—
1906C22⋊C4—792no—
1907C22⋊C4—794no—
1908C22⋊C4—792no—
1909C22⋊C4—792no—
1910C22⋊C4—794no—
1911C22⋊C4—792no—
1912C22⋊C4—792no—
1913C22⋊C4—794no—
1914C22⋊C4—794no—
1915C22⋊C4—794no—
1916C22⋊C4—794no—
1917C22⋊C4—794no—
1918C22⋊C4—794no—
1919C22⋊C4—794no—
1920C22⋊C4—794no—
1921C22⋊C4—794no—
1922C22⋊C4—794no—
1923C22⋊C4—794no—
1924C22⋊C4—794no—
1925C22⋊C4—794no—
1926C22⋊C4—792no—
1927C22⋊C4—792no—
1928C22⋊C4—794no—
1929C22⋊C4—794no—
1930C22⋊C4—794no—
1931C22⋊C4—792no—
1932C22⋊C4—792no—
1933C22⋊C4C23×D7914yes—
1934C22⋊C4C23×D7914yes—
1935C22⋊C4C23×D7914yes—
1936C22⋊C4C23×D7914yes—
1937C22⋊C4C23×D7914yes—
1938C22⋊C4C23×D7914yes—
1939C22⋊C4C23×D7914yes—
1940C22⋊C4C23×D7912yes—
1941C22⋊C4C23×D7912yes—
1942C22⋊C4C23×D7914yes—
1943C22⋊C4C23×D7912yes—
1944C42—791no—
1945C42—792no—
1946C42—792no—
1947C42—792no—
1948C42—792no—
1949C42—792no—
1950C42—791no—
1951C42—794no—
1952C42—794no—
1953C42—794no—
1954C42—792no—
1955C42—792no—
1956C42—792no—
1957C42—794no—
1958C42—794no—
1959C42—794no—
1960C42—794no—
1961C42—794no—
1962C42C23×D7911yescharacteristic
1963C42C23×D7911yescharacteristic
1964C42C23×D7912yes—
1965C42C23×D7914yes—
1966C42C23×D7912yes—
1967C42C23×D7912yes—
1968C42C23×D7911yescharacteristic
1969C42C23×D7911yescharacteristic
1970C42C23×D7914yes—
1971C23—3161no—
1972C23—3164no—
1973C23—3164no—
1974C23—3164no—
1975C23—3164no—
1976C23—3164no—
1977C23—792no—
1978C23—794no—
1979C23—792no—
1980C23—1584no—
1981C23—1588no—
1982C23C24×D7914yes—
1983C23C24×D7911yescharacteristic
1984C23C24×D7911yescharacteristic
1985C23C24×D7911yescharacteristic
1986Q8—24no—
1987Q8—41no—
1988Q8—3164no—
1989Q8—3164no—
1990Q8—3162no—
1991Q8—3164no—
1992Q8—3164no—
1993Q8—3162no—
1994Q8—3161no—
1995Q8—1584no—
1996D4—24no—
1997D4—44no—
1998D4—44no—
1999D4—41no—
2000D4—41no—
2001D4—41no—
2002D4—44no—
2003D4—44no—
2004D4—3164no—
2005D4—3164no—
2006D4—3161no—
2007D4—3164no—
2008D4—3164no—
2009D4—3164no—
2010D4—3164no—
2011D4—3164no—
2012D4—3162no—
2013D4—3162no—
2014D4—3164no—
2015D4—3162no—
2016D4—1584no—
2017D4—1588no—
2018D4—1584no—
2019D4—1588no—
2020D4—1584no—
2021D4—1584no—
2022D4—1584no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—42no—
2027C2×C4—44no—
2028C2×C4—44no—
2029C2×C4—44no—
2030C2×C4—42no—
2031C2×C4—42no—
2032C2×C4—44no—
2033C2×C4—3162no—
2034C2×C4—3164no—
2035C2×C4—3162no—
2036C2×C4—3164no—
2037C2×C4—3162no—
2038C2×C4—3164no—
2039C2×C4—3164no—
2040C2×C4—3164no—
2041C2×C4—3164no—
2042C2×C4—3162no—
2043C2×C4—3162no—
2044C2×C4—3164no—
2045C2×C4—3164no—
2046C2×C4—3164no—
2047C2×C4—3162no—
2048C2×C4—3161no—
2049C2×C4—3164no—
2050C2×C4—3164no—
2051C2×C4—792no—
2052C2×C4—792no—
2053C2×C4—792no—
2054C2×C4—792no—
2055C2×C4—794no—
2056C2×C4—792no—
2057C2×C4—792no—
2058C2×C4—794no—
2059C2×C4—794no—
2060C2×C4—1584no—
2061C2×C4—1584no—
2062C2×C4—1588no—
2063C2×C4—1584no—
2064C2×C4—1584no—
2065C2×C4C24×D7912yes—
2066C2×C4C24×D7912yes—
2067C2×C4C24×D7914yes—
2068C2×C4C24×D7914yes—
2069C2×C4C24×D7911yescharacteristic
2070C2×C4C24×D7912yes—
2071C2×C4C24×D7914yes—
2072C2×C4C24×D7912yes—
2073C2×C4C24×D7911yescharacteristic
2074C2×C4C24×D7911yescharacteristic
2075C2×C4C24×D7911yescharacteristic
2076C22—22no—
2077C22—24no—
2078C22—22no—
2079C22—22no—
2080C22—24no—
2081C22—21no—
2082C22—21no—
2083C22—21no—
2084C22—24no—
2085C22—3164no—
2086C22—794no—
2087C22—6328no—
2088C22—1584no—
2089C22—1584no—
2090C22—1582no—
2091C22—1582no—
2092C22—1582no—
2093C22—1584no—
2094C22—1582no—
2095C22—1582no—
2096C22—12644no—
2097C22C25×D7911yescharacteristic
2098C4—22no—
2099C4—22no—
2100C4—22no—
2101C4—24no—
2102C4—24no—
2103C4—22no—
2104C4—21no—
2105C4—21no—
2106C4—21no—
2107C4—24no—
2108C4—1582no—
2109C4—1584no—
2110C4—1584no—
2111C4—1582no—
2112C4—1582no—
2113C4—1582no—
2114C4—1584no—
2115C4—1582no—
2116C4—1582no—
2117C4#1909939912yes—
2118C2—41no—
2119C2—44no—
2120C2—41no—
2121C2—41no—
2122C2—3164no—
2123C2—3162no—
2124C2—1584no—
2125C2#585×D7912yes—
2126C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3512C2
hypercenter#3512D79
hypocenterC79#62829
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3512

Complements

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

NH ≅ G/Ntype
1. #23778077C2semidirect
2. #23778053C2semidirect
3. #23778011C2semidirect
4. #23777939C2semidirect
5. #23777908C2semidirect
6. #23777905C2semidirect
7. #23777818C2semidirect
8. #23777648C2semidirect
9. #23777638C2semidirect
10. #23777618C2semidirect
11. #23777391C2semidirect
12. #23777385C2semidirect
13. #23777372C2semidirect
14. #23777366C2semidirect
15. #23777363C2semidirect
16. #23777356C2semidirect
17. #23777347C2semidirect
18. #23777342C2semidirect
19. #23777338C2semidirect
20. #23777331C2semidirect
21. #23777322C2semidirect
22. #23777289C2semidirect
23. #23777116C2semidirect
24. #23777095C2semidirect
25. #23776693C2semidirect
26. #529×D79C2semidirect
27. C79×#3512C2semidirect
28. #19099317C22semidirect
29. #19099316C22semidirect
30. #19099315C22semidirect
31. #19099314C22semidirect
32. #19099308C22semidirect
33. #19099308C22semidirect
35. #19099301C22semidirect
36. #19099299C22semidirect
37. #19099298C22semidirect
38. #19099297C22semidirect
39. #19099296C22semidirect
40. #19099290C22semidirect
41. #19099289C22semidirect
42. #19099287C22semidirect
43. #19099283C22semidirect
44. #19099283C22semidirect
45. #19099281C22semidirect
46. #19099280C22semidirect
47. #19099280C22semidirect
48. #19099278C22semidirect
49. #19099277C22semidirect
50. #19099277C22semidirect
51. #19099272C22semidirect
52. #19099271C22semidirect
53. #19099269C22semidirect
54. #19099269C22semidirect
55. #19099268C22semidirect
56. #19099268C22semidirect
58. #19099265C22semidirect
59. #19099264C22semidirect
61. #19099263C22semidirect
62. #19099263C22semidirect
63. #19099262C22semidirect
64. #19099262C22semidirect
65. #19099262C22semidirect
66. #19099261C22semidirect
67. #19099260C22semidirect
68. #19099255C22semidirect
69. #19099254C22semidirect
70. #19099254C22semidirect
71. #19099252C22semidirect
72. #19099251C22semidirect
73. #19099251C22semidirect
74. #19099250C22semidirect
75. #19099250C22semidirect
76. #19099248C22semidirect
77. #19099248C22semidirect
78. #19099248C22semidirect
79. #19099246C22semidirect
80. #19099245C22semidirect
81. #19099245C22semidirect
82. #19099245C22semidirect
83. #19099242C22semidirect
84. #19099242C22semidirect
85. #19099242C22semidirect
86. #19099241C22semidirect
87. #19099241C22semidirect
88. #19099240C22semidirect
89. #19099238C22semidirect
90. #19099238C22semidirect
91. #19099238C22semidirect
92. #19099238C22semidirect
93. #19099237C22semidirect
94. #19099237C22semidirect
95. #19099237C22semidirect
96. #19099236C22semidirect
97. Q8×D316C22semidirect
98. #19099228C22semidirect
99. #19099223C22semidirect
100. #19099223C22semidirect
101. #19099220C22semidirect
102. #19099220C22semidirect
103. #19099214C22semidirect
104. #19099214C22semidirect
105. #19099213C22semidirect
106. #19099211C22semidirect
107. #19099210C22semidirect
108. #19099210C22semidirect
109. #19099210C22semidirect
110. #19099210C22semidirect
111. #19099209C22semidirect
112. #19099209C22semidirect
113. #19099202C22semidirect
114. #19099202C22semidirect
115. #19099201C22semidirect
116. #19099201C22semidirect
120. #19099193C22semidirect
121. #19099188C22semidirect
122. #19099186C22semidirect
123. #19099185C22semidirect
124. #19099184C22semidirect
125. #19099180C22semidirect
126. #19099180C22semidirect
127. #19099179C22semidirect
128. #19099179C22semidirect
129. #19099178C22semidirect
130. #19099178C22semidirect
131. #19099178C22semidirect
132. #19099175C22semidirect
133. #19099175C22semidirect
134. #19099175C22semidirect
135. #19099172C22semidirect
136. #19099172C22semidirect
137. #19099170C22semidirect
139. #19099168C22semidirect
140. #19099166C22semidirect
141. #19099163C22semidirect
142. #19099161C22semidirect
143. #19099161C22semidirect
144. #19099160C22semidirect
145. #19099160C22semidirect
146. #19099159C22semidirect
147. #19099158C22semidirect
148. #19099156C22semidirect
149. #19099155C22semidirect
150. #19099154C22semidirect
151. #19099154C22semidirect
152. #19099150C22semidirect
154. #19099149C22semidirect
155. #19099149C22semidirect
156. #19099146C22semidirect
157. #19099145C22semidirect
158. #19099145C22semidirect
159. #19099145C22semidirect
160. #19099145C22semidirect
161. #19099145C22semidirect
162. #19099142C22semidirect
163. #19099141C22semidirect
164. #19099136C22semidirect
167. #19099119C22semidirect
168. #19099117C22semidirect
169. #19099116C22semidirect
170. #19099113C22semidirect
171. #19099110C22semidirect
172. #19099109C22semidirect
173. #19099100C22semidirect
174. #19099100C22semidirect
175. #19099099C22semidirect
176. #19099098C22semidirect
177. #19099098C22semidirect
178. #19099098C22semidirect
179. #19099097C22semidirect
180. #19099097C22semidirect
181. #19099096C22semidirect
182. #19099096C22semidirect
183. #19099095C22semidirect
184. #19099095C22semidirect
185. #19099095C22semidirect
186. #19099094C22semidirect
187. #19099093C22semidirect
188. #19099093C22semidirect
189. #19099093C22semidirect
190. #19099092C22semidirect
191. #19099092C22semidirect
192. #19099091C22semidirect
193. #19099091C22semidirect
194. #19099091C22semidirect
195. #19099091C22semidirect
196. #19099090C22semidirect
197. #126×D79C22semidirect
198. C2×#14579153C22semidirect
199. #125×D79C22semidirect
200. #124×D79C22semidirect
201. #124×D79C22semidirect
203. #19099073C22semidirect
204. #19099072C22semidirect
205. #19099072C22semidirect
206. #19099072C22semidirect
207. #19099070C22semidirect
208. C2×#14579146C22semidirect
209. #123×D79C22semidirect
210. #123×D79C22semidirect
211. C22⋊Q8×D79C22semidirect
213. #19099044C22semidirect
214. #19099043C22semidirect
215. #19099042C22semidirect
216. #19099039C22semidirect
217. #19099037C22semidirect
218. #19099035C22semidirect
219. #19099035C22semidirect
220. C4×#11929624C22semidirect
221. C4×#11929624C22semidirect
222. C4×#11929624C22semidirect
223. C4×Q8×D79C22semidirect
224. C4×D4×D79C22semidirect
225. C4×D4×D79C22semidirect
226. #117×D79C22semidirect
227. C2×C42×D79C22semidirect
228. #553×C79C22semidirect
229. #553×C79C22semidirect
230. #553×C79C22semidirect
231. #552×C79C22semidirect
232. #541×C79C22semidirect
233. #541×C79C22semidirect
235. #540×C79C22semidirect
236. #537×C79C22semidirect
237. #532×C79C22semidirect
238. #529×C79C22semidirect
239. #529×C79C22semidirect
240. C2×#125×C79C22semidirect
241. #520×C79C22semidirect
242. C4×#41×C79C22semidirect
1085. #3512D79semidirect
1091. C79#62829semidirect
1132. #553C2×D79semidirect
1133. #553C2×D79semidirect
1134. #553C2×D79semidirect
1150. #552C2×D79semidirect
1206. #541C2×D79semidirect
1207. #541C2×D79semidirect
1213. #540C2×D79semidirect
1236. #537C2×D79semidirect
1246. #532C2×D79semidirect
1271. #529C2×D79semidirect
1272. #529C2×D79semidirect
1276. C2×#125C2×D79semidirect
1293. #520C2×D79semidirect
1301. C4×#41C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780772
#237780532
#237780112
#237779392
#237779082
#237779052
#237778182
#237776482
#237776382
#237776182
#237773912
#237773852
#237773722
#237773662
#237773632
#237773562
#237773472
#237773422
#237773382
#237773312
#237773222
#237772892
#237771162
#237770952
#237766932
#529×D792
C79×#35122
#6282979