Finite Group Databasebeta

← #35202008

Subgroups — #35202008

Order 20224.

6496 conjugacy classes of subgroups.

The subgroup lattice has 2244 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778096C212yesmaximal, complemented
2#23778092C214yesmaximal, complemented
3#23778091C214yesmaximal, complemented
4#23777972C211yesmaximal, characteristic, complemented
5#23777970C212yesmaximal, complemented
6#23777969C212yesmaximal, complemented
7#23777964C214yesmaximal, complemented
8#23777961C212yesmaximal, complemented
9#23777958C214yesmaximal, complemented
10#23777920C212yesmaximal, complemented
11#23777919C211yesmaximal, characteristic, complemented
12#23777918C212yesmaximal, complemented
13#23777813C212yesmaximal, complemented
14#23777812C212yesmaximal, complemented
15#23777811C211yesmaximal, characteristic, complemented
16#23777756C214yesmaximal, complemented
17#23777753C214yesmaximal, complemented
18#23777752C212yesmaximal, complemented
19#23777547C211yesmaximal, characteristic, complemented
20#23777545C212yesmaximal, complemented
21#23777417C211yesmaximal, characteristic, complemented
22#23777414C212yesmaximal, complemented
23#23777411C212yesmaximal, complemented
24#23777361C211yesmaximal, characteristic, complemented
25#23777360C212yesmaximal, complemented
26#23777351C212yesmaximal, complemented
27#23777293C212yesmaximal, complemented
28#23777290C212yesmaximal, complemented
29C79×#3510C211yesmaximal, characteristic, complemented
30C79⋊#564C2211yescharacteristic, complemented
31#19099317C2212yescomplemented
32#19099317C2211yescharacteristic, complemented
33#19099317C2211yescharacteristic, complemented
34#19099317C2212yescomplemented
35#19099316C2214yescomplemented
36#19099316C2214yescomplemented
37#19099315C2214yescomplemented
38#19099315C2214yescomplemented
39#19099315C2214yescomplemented
40#19099314C2214yescomplemented
41#19099314C2212yescomplemented
42#19099314C2212yescomplemented
43#19099313C2212yescomplemented
44#19099312C2212yescomplemented
45#19099312C2212yescomplemented
46#19099311C2211yescharacteristic, complemented
47#19099310C2214yescomplemented
48#19099310C2214yescomplemented
49#19099309C2212yescomplemented
50#19099309C2212yescomplemented
51#19099309C2214yescomplemented
52#19099308C2214yescomplemented
53#19099307C2212yescomplemented
54#19099307C2212yescomplemented
55#19099306C2214yescomplemented
56#19099305C2214yescomplemented
57#19099305C2212yescomplemented
58#19099299C2212yescomplemented
59#19099298C2211yescharacteristic, complemented
60#19099298C2212yescomplemented
61#19099296C2212yescomplemented
62#19099295C2212yescomplemented
63#19099295C2212yescomplemented
64Q8×Dic158C2212yescomplemented
65Q8×Dic158C2212yescomplemented
66Q8×Dic158C2211yescharacteristic, complemented
67#19099287C2212yescomplemented
68#19099287C2212yescomplemented
69#19099286C2212yescomplemented
70#19099286C2214yescomplemented
71#19099286C2212yescomplemented
72#19099286C2211yescharacteristic, complemented
73#19099285C2212yescomplemented
74#19099285C2214yescomplemented
75#19099284C2214yescomplemented
76#19099283C2211yescharacteristic, complemented
77#19099283C2212yescomplemented
78#19099282C2212yescomplemented
79#19099282C2212yescomplemented
80#19099282C2214yescomplemented
81#19099281C2214yescomplemented
82#19099281C2214yescomplemented
83#19099281C2214yescomplemented
84#19099281C2212yescomplemented
85#19099280C2214yescomplemented
86#19099280C2214yescomplemented
87#19099278C2212yescomplemented
88#19099278C2211yescharacteristic, complemented
89#19099278C2212yescomplemented
90#19099276C2212yescomplemented
91#19099276C2214yescomplemented
92#19099276C2214yescomplemented
93#19099243C2214yescomplemented
94#19099242C2214yescomplemented
95#19099242C2214yescomplemented
96#19099241C2214yescomplemented
97#19099241C2214yescomplemented
98#19099240C2214yescomplemented
99#19099240C2214yescomplemented
100#19099239C2214yescomplemented
101#19099239C2214yescomplemented
102#19099238C2214yescomplemented
103#19099238C2214yescomplemented
104#19099238C2214yescomplemented
105#19099237C2214yescomplemented
106#19099237C2214yescomplemented
107#19099237C2214yescomplemented
108#19099236C2214yescomplemented
109#19099236C2214yescomplemented
110#19099236C2214yescomplemented
111Q8×D316C2212yescomplemented
112Q8×D316C2211yescharacteristic, complemented
113D4×Dic158C2211yescharacteristic, complemented
114D4×Dic158C2212yescomplemented
115D4×Dic158C2214yescomplemented
116#19099228C2212yescomplemented
117#19099228C2212yescomplemented
118Q8×C22⋊D79C2212yescomplemented
119#19099226C2214yescomplemented
120#19099225C2212yescomplemented
121#19099224C2212yescomplemented
122#19099222C2214yescomplemented
123#19099222C2212yescomplemented
124#19099221C2214yescomplemented
125#19099221C2212yescomplemented
126#19099221C2212yescomplemented
127#19099220C2212yescomplemented
128#19099209C2212yescomplemented
129#19099209C2214yescomplemented
130#19099208C2212yescomplemented
131#19099208C2214yescomplemented
132#19099207C2212yescomplemented
133#19099206C2212yescomplemented
134#19099206C2212yescomplemented
135#19099205C2214yescomplemented
136#19099203C2214yescomplemented
137#19099203C2214yescomplemented
138#19099202C2214yescomplemented
139#19099201C2212yescomplemented
140#19099200C2214yescomplemented
141D4×D316C2211yescharacteristic, complemented
142#19099198C2212yescomplemented
143D4×C22⋊D79C2212yescomplemented
144#19099189C2212yescomplemented
145#19099188C2214yescomplemented
146#19099188C2214yescomplemented
147#19099186C2214yescomplemented
148#19099185C2212yescomplemented
149#19099185C2212yescomplemented
150#19099185C2214yescomplemented
151#19099184C2212yescomplemented
152#19099184C2212yescomplemented
153#19099184C2214yescomplemented
154#19099184C2214yescomplemented
155#19099183C2214yescomplemented
156#19099183C2214yescomplemented
157#19099182C2214yescomplemented
158#19099182C2212yescomplemented
159#19099182C2212yescomplemented
160#19099182C2212yescomplemented
161#19099182C2212yescomplemented
162#19099181C2214yescomplemented
163#19099181C2214yescomplemented
164#19099179C2214yescomplemented
165#19099179C2214yescomplemented
166#19099179C2214yescomplemented
167#19099179C2214yescomplemented
168#19099179C2214yescomplemented
169#19099179C2214yescomplemented
170#19099178C2214yescomplemented
171#19099178C2212yescomplemented
172#19099178C2212yescomplemented
173#19099178C2214yescomplemented
174#19099177C2214yescomplemented
175#19099177C2214yescomplemented
176#19099152C2214yescomplemented
177#19099151C2212yescomplemented
178#19099151C2214yescomplemented
179#19099151C2212yescomplemented
180#19099150C2214yescomplemented
181#19099149C2214yescomplemented
182#19099149C2214yescomplemented
183#19099149C2214yescomplemented
184#19099149C2214yescomplemented
185#19099148C2214yescomplemented
186#19099147C2214yescomplemented
187#19099147C2214yescomplemented
188#19099146C2214yescomplemented
189#19099146C2214yescomplemented
190#19099146C2214yescomplemented
191#19099145C2214yescomplemented
192#19099139C2214yescomplemented
193#19099138C2212yescomplemented
194#19099136C2214yescomplemented
195#19099136C2214yescomplemented
196#19099135C2214yescomplemented
197#19099135C2214yescomplemented
198#19099133C2212yescomplemented
199#19099131C2212yes—
200#19099126C2212yes—
201#19099125C2212yescomplemented
202#19099124C2214yescomplemented
203#19099123C2214yescomplemented
204#19099120C2212yescomplemented
205#19099120C2211yescharacteristic, complemented
206#19099118C2212yescomplemented
207#19099117C2214yescomplemented
208#19099117C2212yescomplemented
209#19099117C2212yescomplemented
210#19099117C2212yescomplemented
211#19099116C2214yescomplemented
212#19099113C2211yescharacteristic
213#19099111C2212yes—
214#19099110C2212yes—
215#19099100C2212yescomplemented
216#19099100C2212yescomplemented
217#19099099C2214yescomplemented
218#19099097C2212yescomplemented
219#19099097C2211yescharacteristic, complemented
220#19099097C2211yescharacteristic, complemented
221#19099097C2212yescomplemented
222#19099096C2214yescomplemented
223#19099095C2214yescomplemented
224#19099093C2214yescomplemented
225#19099093C2214yescomplemented
226#19099091C2214yescomplemented
227#19099091C2212yescomplemented
228#19099091C2212yescomplemented
229#19099091C2214yescomplemented
230#19099090C2214yescomplemented
231C2×#14579149C2212yescomplemented
232C2×#14579147C2214yescomplemented
233#124×D79C2212yescomplemented
234#124×D79C2212yescomplemented
235#124×D79C2214yescomplemented
236#19099039C2212yescomplemented
237#19099039C2212yescomplemented
238#19099035C2212yescomplemented
239#19099035C2212yescomplemented
240C4×#11929625C2212yescomplemented
241C4×#11929623C2212yescomplemented
242#559×C79C2212yescomplemented
243#559×C79C2212yescomplemented
244#556×C79C2212yescomplemented
245#556×C79C2212yescomplemented
246#551×C79C2214yescomplemented
247#551×C79C2214yescomplemented
248#542×C79C2212yescomplemented
249#542×C79C2212yescomplemented
250#536×C79C2211yescharacteristic, complemented
251#535×C79C2211yescharacteristic
252#533×C79C2211yescharacteristic, complemented
253#529×C79C2212yescomplemented
254#529×C79C2212yescomplemented
255C2×#124×C79C2211yescharacteristic, complemented
256#519×C79C2211yescharacteristic, complemented
257#518×C79C2211yescharacteristic, complemented
258C4×#41×C79C2211yescharacteristic, complemented
259C2×#11929625C2312yes—
260C2×#11929624C2312yes—
261C2×#11929624C2314yes—
262C2×#11929623C2312yes—
263C2×#11929623C2314yes—
264C22×Dic158C2314yes—
265C22×Dic158C2312yes—
266C2×Q8×D79C2312yes—
267C2×Q8×D79C2312yes—
268C2×Q8×D79C2314yes—
269C22×D316C2312yes—
270C22×C22⋊D79C2314yes—
271C2×D4×D79C2312yes—
272C2×D4×D79C2312yes—
273C2×D4×D79C2314yes—
274#14579161C2312yes—
275#14579161C2314yes—
276#14579161C2311yescharacteristic
277#14579161C2311yescharacteristic
278#14579161C2312yes—
279#14579161C2312yes—
280#14579161C2312yes—
281#14579161C2311yescharacteristic
282#14579160C2314yes—
283#14579160C2314yes—
284#14579160C2314yes—
285#14579160C2314yes—
286#14579160C2312yes—
287#14579160C2312yes—
288#14579160C2312yes—
289#14579160C2314yes—
290#14579160C2314yes—
291#14579160C2314yes—
292#14579160C2312yes—
293#14579159C2312yes—
294#14579159C2312yes—
295#14579159C2314yes—
296#14579159C2312yes—
297#14579158C2311yescharacteristic
298#14579157C2312yes—
299#14579156C2314yes—
300#14579156C2312yes—
301#14579156C2314yes—
302#14579156C2314yes—
303#14579156C2312yes—
304#14579156C2314yes—
305#14579156C2314yes—
306#14579156C2314yes—
307#14579156C2312yes—
308#14579156C2314yes—
309#14579156C2312yes—
310#14579156C2314yes—
311#14579156C2314yes—
312#14579156C2314yes—
313#14579156C2312yes—
314#14579156C2312yes—
315#14579155C2314yes—
316#14579155C2314yes—
317#14579155C2314yes—
318#14579155C2312yes—
319#14579155C2312yes—
320#14579155C2314yes—
321#14579154C2314yes—
322#14579154C2314yes—
323#14579154C2314yes—
324#14579154C2312yes—
325#14579154C2314yes—
326#14579154C2314yes—
327#14579154C2314yes—
328#14579154C2314yes—
329#14579154C2314yes—
330#14579154C2314yes—
331#14579154C2314yes—
332#14579154C2314yes—
333#14579154C2314yes—
334#14579154C2312yes—
335#14579153C2311yescharacteristic
336#14579153C2312yes—
337#14579153C2311yescharacteristic
338#14579152C2312yes—
339#14579152C2314yes—
340#14579152C2312yes—
341#14579151C2312yes—
342#14579151C2312yes—
343#14579151C2314yes—
344#14579151C2312yes—
345#14579151C2312yes—
346#14579151C2312yes—
347#14579151C2312yes—
348#14579150C2312yes—
349#14579150C2314yes—
350#14579150C2314yes—
351#14579150C2312yes—
352#14579150C2312yes—
353#14579150C2312yes—
354#14579149C2312yes—
355#14579149C2314yes—
356#14579149C2314yes—
357#14579149C2314yes—
358#14579149C2314yes—
359#14579149C2312yes—
360#14579149C2312yes—
361#14579149C2314yes—
362#14579149C2312yes—
363#14579149C2311yescharacteristic
364#14579149C2312yes—
365#14579149C2311yescharacteristic
366#14579148C2314yes—
367#14579148C2314yes—
368#14579148C2312yes—
369#14579148C2312yes—
370#14579148C2314yes—
371#14579147C2314yes—
372#14579147C2314yes—
373#14579147C2314yes—
374#14579147C2314yes—
375#14579147C2314yes—
376#14579147C2314yes—
377#14579147C2314yes—
378#14579147C2314yes—
379#14579147C2314yes—
380#14579147C2314yes—
381#14579147C2314yes—
382#14579147C2314yes—
383#14579147C2314yes—
384#14579147C2314yes—
385#14579147C2314yes—
386#14579147C2314yes—
387#14579147C2314yes—
388#14579147C2314yes—
389#14579147C2314yes—
390#14579147C2314yes—
391#14579147C2314yes—
392#14579147C2314yes—
393#14579147C2312yes—
394#14579147C2314yes—
395#14579147C2312yes—
396#14579146C2314yes—
397#14579146C2314yes—
398#14579146C2314yes—
399#14579146C2314yes—
400#14579146C2314yes—
401#14579146C2314yes—
402#14579146C2312yes—
403#14579146C2314yes—
404#14579146C2312yes—
405#14579146C2312yes—
406#14579146C2312yes—
407#14579146C2312yes—
408#14579146C2312yes—
409#14579145C2314yes—
410#14579145C2314yes—
411#14579145C2314yes—
412#14579145C2314yes—
413#14579145C2314yes—
414#14579145C2314yes—
415#14579145C2314yes—
416#14579144C2314yes—
417#14579144C2312yes—
418#14579144C2314yes—
419#14579144C2314yes—
420#14579144C2312yes—
421#14579144C2314yes—
422#14579143C2314yes—
423#14579143C2314yes—
424#14579143C2314yes—
425#14579143C2314yes—
426#14579143C2314yes—
427#14579143C2312yes—
428#14579143C2314yes—
429#14579143C2314yes—
430#14579143C2314yes—
431#14579143C2314yes—
432#14579143C2312yes—
433#14579142C2314yes—
434#14579142C2314yes—
435#14579142C2314yes—
436#14579141C2314yes—
437#14579141C2314yes—
438#14579141C2312yes—
439#14579141C2314yes—
440#14579141C2314yes—
441#14579141C2314yes—
442#14579141C2312yes—
443#14579141C2312yes—
444#14579141C2314yes—
445#14579141C2314yes—
446#14579140C2312yes—
447#14579140C2314yes—
448#14579140C2314yes—
449#14579140C2311yescharacteristic
450#14579140C2314yes—
451#14579140C2312yes—
452#14579140C2314yes—
453#14579140C2312yes—
454#14579140C2314yes—
455#14579140C2312yes—
456#14579140C2311yescharacteristic
457#14579139C2314yes—
458#14579139C2314yes—
459#14579139C2312yes—
460#14579139C2314yes—
461#14579139C2312yes—
462#14579139C2312yes—
463#14579139C2314yes—
464#14579139C2314yes—
465#14579139C2314yes—
466#14579139C2314yes—
467#14579139C2314yes—
468#14579139C2314yes—
469#14579139C2314yes—
470#14579139C2312yes—
471#14579139C2312yes—
472#14579139C2312yes—
473#14579138C2314yes—
474#14579138C2314yes—
475#14579138C2314yes—
476#14579138C2314yes—
477#14579138C2314yes—
478#14579138C2314yes—
479#14579138C2314yes—
480#14579138C2314yes—
481#14579138C2314yes—
482#14579138C2314yes—
483#14579138C2314yes—
484#14579138C2314yes—
485#14579138C2314yes—
486#14579137C2312yes—
487#14579137C2314yes—
488#14579137C2312yes—
489#14579137C2314yes—
490#14579137C2314yes—
491#14579137C2312yes—
492#14579137C2312yes—
493#14579137C2312yes—
494#14579137C2312yes—
495#14579137C2312yes—
496#14579136C2312yes—
497#14579136C2314yes—
498#14579136C2312yes—
499#14579136C2312yes—
500#14579135C2312yes—
501#14579135C2312yes—
502#14579135C2314yes—
503#14579135C2312yes—
504#14579135C2314yes—
505#14579135C2314yes—
506#14579135C2311yescharacteristic
507#14579135C2312yes—
508#14579135C2311yescharacteristic
509#14579134C2314yes—
510#14579134C2314yes—
511#14579134C2314yes—
512#14579134C2314yes—
513#14579134C2314yes—
514#14579134C2312yes—
515#14579134C2314yes—
516#14579134C2314yes—
517#14579134C2314yes—
518#14579134C2312yes—
519#14579133C2314yes—
520#14579133C2314yes—
521#14579133C2314yes—
522#14579133C2314yes—
523#14579133C2314yes—
524#14579132C2314yes—
525#14579132C2314yes—
526#14579132C2314yes—
527#14579132C2312yes—
528#14579132C2312yes—
529#14579132C2312yes—
530#14579131C2314yes—
531#14579131C2314yes—
532#14579131C2314yes—
533#14579131C2314yes—
534#14579131C2314yes—
535#14579131C2314yes—
536#14579130C2314yes—
537#14579130C2314yes—
538#14579129C2314yes—
539#14579129C2314yes—
540#14579129C2314yes—
541#14579129C2314yes—
542#14579129C2314yes—
543#14579129C2314yes—
544Q8×Dic79C2312yes—
545Q8×Dic79C2314yes—
546Q8×Dic79C2312yes—
547Q8×Dic79C2312yes—
548C4×Dic158C2312yes—
549C4×Dic158C2314yes—
550C4×Dic158C2314yes—
551C4×Dic158C2314yes—
552C4×Dic158C2312yes—
553C4×Dic158C2312yes—
554C4×Dic158C2312yes—
555C4×Dic158C2314yes—
556C4×Dic158C2312yes—
557C4×Dic158C2314yes—
558C4×Dic158C2312yes—
559C4×Dic158C2314yes—
560C4×Dic158C2311yescharacteristic
561C4×Dic158C2312yes—
562C4×Dic158C2311yescharacteristic
563C4×Dic158C2312yes—
564#14579126C2314yes—
565#14579126C2314yes—
566#14579126C2314yes—
567#14579126C2312yes—
568C4×D316C2312yes—
569C4×D316C2314yes—
570C4×D316C2312yes—
571C4×D316C2312yes—
572C4×D316C2314yes—
573C4×D316C2312yes—
574C4×D316C2312yes—
575C4×D316C2312yes—
576C4×D316C2311yescharacteristic
577C4×D316C2311yescharacteristic
578C4×D316C2312yes—
579C4×D316C2312yes—
580D4×Dic79C2314yes—
581D4×Dic79C2314yes—
582D4×Dic79C2312yes—
583D4×Dic79C2312yes—
584D4×Dic79C2312yes—
585#14579123C2314yes—
586#14579123C2314yes—
587#14579123C2314yes—
588#14579123C2312yes—
589C4×C22⋊D79C2314yes—
590C4×C22⋊D79C2314yes—
591C4×C22⋊D79C2314yes—
592C4×C22⋊D79C2314yes—
593C4×C22⋊D79C2314yes—
594C4×C22⋊D79C2314yes—
595C4×C22⋊D79C2314yes—
596C4×C22⋊D79C2312yes—
597C4×C22⋊D79C2312yes—
598C4×C22⋊D79C2314yes—
599(C22⋊D79)⋊C4C2314yes—
600(C22⋊D79)⋊C4C2314yes—
601(C22⋊D79)⋊C4C2314yes—
602(C22⋊D79)⋊C4C2314yes—
603(C22⋊D79)⋊C4C2314yes—
604(C22⋊D79)⋊C4C2314yes—
605(C22⋊D79)⋊C4C2314yes—
606#14579120C2312yes—
607#14579120C2312yes—
608#14579120C2312yes—
609#14579120C2314yes—
610#14579119C2314yes—
611#14579119C2314yes—
612#14579119C2314yes—
613#14579119C2314yes—
614#14579119C2314yes—
615#14579119C2314yes—
616#14579119C2312yes—
617#14579119C2312yes—
618#14579118C2312yes—
619#14579118C2314yes—
620#14579118C2312yes—
621#14579118C2314yes—
622#14579118C2312yes—
623#14579118C2312yes—
624#14579118C2314yes—
625#14579118C2314yes—
626#14579118C2314yes—
627#14579117C2314yes—
628#14579117C2314yes—
629#14579117C2314yes—
630C2×C22⋊Dic79C2314yes—
631C2×(C2×D79)⋊C4C2314yes—
632C2×(C2×D79)⋊C4C2314yes—
633C2×(C2×D79)⋊C4C2314yes—
634C2×(C2×D79)⋊C4C2314yes—
635C22⋊C4×D79C2314yes—
636C22⋊C4×D79C2314yes—
637C22⋊C4×D79C2314yes—
638C22⋊C4×D79C2314yes—
639C22⋊C4×D79C2314yes—
640C22⋊C4×D79C2314yes—
641C22⋊C4×D79C2314yes—
642C22⋊C4×D79C2314yes—
643C2×C4×Dic79C2314yes—
644C42×D79C2312yes—
645C42×D79C2314yes—
646C42×D79C2312yes—
647C2×#41×C79C2311yescharacteristic
648C22×Q8×C79C2311yescharacteristic
649C22×D4×C79C2311yescharacteristic
650C4⋊Q8×C79C2312yes—
651C4⋊Q8×C79C2311yescharacteristic
652C4⋊Q8×C79C2311yescharacteristic
653#127×C79C2312yes—
654#126×C79C2314yes—
655#126×C79C2314yes—
656#126×C79C2314yes—
657#126×C79C2314yes—
658#125×C79C2311yescharacteristic
659#125×C79C2311yescharacteristic
660#124×C79C2312yes—
661#124×C79C2314yes—
662#124×C79C2314yes—
663#124×C79C2312yes—
664#124×C79C2312yes—
665#124×C79C2312yes—
666#124×C79C2312yes—
667#124×C79C2312yes—
668#123×C79C2314yes—
669#123×C79C2314yes—
670#123×C79C2314yes—
671#123×C79C2314yes—
672#123×C79C2314yes—
673C22⋊Q8×C79C2312yes—
674C22⋊Q8×C79C2314yes—
675C22⋊Q8×C79C2312yes—
676C22⋊Q8×C79C2314yes—
677C22⋊Q8×C79C2312yes—
678C22⋊Q8×C79C2312yes—
679#121×C79C2312yes—
680#121×C79C2312yes—
681#120×C79C2314yes—
682C4×Q8×C79C2311yescharacteristic
683C4×Q8×C79C2312yes—
684C4×Q8×C79C2312yes—
685C4×Q8×C79C2312yes—
686C4×Q8×C79C2311yescharacteristic
687C4×Q8×C79C2312yes—
688C4×Q8×C79C2312yes—
689C4×Q8×C79C2312yes—
690C4×D4×C79C2312yes—
691C4×D4×C79C2312yes—
692C4×D4×C79C2314yes—
693C4×D4×C79C2311yescharacteristic
694C4×D4×C79C2312yes—
695C4×D4×C79C2312yes—
696C4×D4×C79C2314yes—
697C4×D4×C79C2312yes—
698C4×D4×C79C2311yescharacteristic
699C4×D4×C79C2312yes—
700#117×C79C2314yes—
701#117×C79C2311yescharacteristic
702#117×C79C2311yescharacteristic
703#117×C79C2314yes—
704#117×C79C2311yescharacteristic
705#117×C79C2312yes—
706#117×C79C2314yes—
707C2×C22⋊C4×C79C2312yes—
708C2×C22⋊C4×C79C2314yes—
709C2×C22⋊C4×C79C2312yes—
710C2×C42×C79C2311yescharacteristic
711C2×C42×C79C2312yes—
712C23×D79C2414yes—
713C23×D79C2414yes—
714#11929625—44no—
715#11929624—84no—
716#11929624—82no—
717#11929623—44no—
718#11929623—84no—
719C2×Dic158—82no—
720C2×Dic158—84no—
721C2×Dic158C2412yes—
722C2×Dic158C2412yes—
723C2×Dic158C2414yes—
724C2×Dic158C2414yes—
725C2×Dic158C2414yes—
726C2×Dic158C2414yes—
727C2×Dic158C2411yescharacteristic
728C2×Dic158C2414yes—
729C2×Dic158C2412yes—
730C2×Dic158C2412yes—
731C2×Dic158C2414yes—
732C2×Dic158C2412yes—
733C2×Dic158C2411yescharacteristic
734Q8×D79—44no—
735Q8×D79—44no—
736Q8×D79—84no—
737C2×D316—82no—
738C2×D316C2412yes—
739C2×D316C2414yes—
740C2×D316C2412yes—
741C2×D316C2414yes—
742C2×D316C2412yes—
743C2×D316C2412yes—
744C2×D316C2411yescharacteristic
745C2×D316C2411yescharacteristic
746C2×D316C2412yes—
747C2×C22⋊D79—84no—
748C2×C22⋊D79C2414yes—
749C2×C22⋊D79C2414yes—
750C2×C22⋊D79C2414yes—
751C2×C22⋊D79C2414yes—
752C2×C22⋊D79C2414yes—
753C2×C22⋊D79C2414yes—
754C2×C22⋊D79C2414yes—
755C2×C22⋊D79C2414yes—
756C2×C22⋊D79C2414yes—
757C2×C22⋊D79C2412yes—
758C2×C22⋊D79C2412yes—
759D4×D79—44no—
760D4×D79—44no—
761D4×D79—84no—
762C22×Dic79C2414yes—
763C22×Dic79C2414yes—
764C22×Dic79C2414yes—
765C22×Dic79C2414yes—
766C2×C4×D79C2412yes—
767C2×C4×D79C2412yes—
768C2×C4×D79C2414yes—
769C2×C4×D79C2414yes—
770C2×C4×D79C2414yes—
771C2×C4×D79C2414yes—
772C2×C4×D79C2414yes—
773C2×C4×D79C2412yes—
774C2×C4×D79C2412yes—
775C2×C4×D79C2414yes—
776C2×C4×D79C2414yes—
777C2×C4×D79C2412yes—
778C2×C4×D79C2412yes—
779C4⋊Dic79C2412yes—
780C4⋊Dic79C2412yes—
781C4⋊Dic79C2414yes—
782C4⋊Dic79C2412yes—
783C4⋊Dic79C2412yes—
784C4⋊Dic79C2414yes—
785C4⋊Dic79C2414yes—
786C4⋊Dic79C2414yes—
787C4⋊Dic79C2412yes—
788C4⋊Dic79C2412yes—
789C4⋊Dic79C2411yescharacteristic
790C4⋊Dic79C2412yes—
791C4⋊Dic79C2411yescharacteristic
792C4⋊Dic79C2412yes—
793C4⋊Dic79C2414yes—
794C4⋊Dic79C2411yescharacteristic
795C4⋊Dic79C2412yes—
796C4⋊Dic79C2411yescharacteristic
797C4⋊Dic79C2414yes—
798C4⋊Dic79C2412yes—
799Dic79⋊C4C2414yes—
800Dic79⋊C4C2412yes—
801Dic79⋊C4C2412yes—
802Dic79⋊C4C2414yes—
803Dic79⋊C4C2414yes—
804Dic79⋊C4C2414yes—
805Dic79⋊C4C2412yes—
806Dic79⋊C4C2412yes—
807Dic79⋊C4C2414yes—
808Dic79⋊C4C2412yes—
809Dic79⋊C4C2412yes—
810Dic79⋊C4C2412yes—
811Dic79⋊C4C2412yes—
812Dic79⋊C4C2412yes—
813Dic79⋊C4C2412yes—
814Dic79⋊C4C2412yes—
815Dic79⋊C4C2412yes—
816Dic79⋊C4C2414yes—
817Dic79⋊C4C2414yes—
818Dic79⋊C4C2412yes—
819Dic79⋊C4C2412yes—
820Dic79⋊C4C2414yes—
821Dic79⋊C4C2414yes—
822Dic79⋊C4C2412yes—
823Dic79⋊C4C2412yes—
824Dic79⋊C4C2414yes—
825Dic79⋊C4C2414yes—
826Dic79⋊C4C2414yes—
827C22⋊Dic79C2414yes—
828C22⋊Dic79C2414yes—
829C22⋊Dic79C2414yes—
830C22⋊Dic79C2414yes—
831C22⋊Dic79C2414yes—
832C22⋊Dic79C2414yes—
833C22⋊Dic79C2414yes—
834C22⋊Dic79C2414yes—
835C22⋊Dic79C2412yes—
836C22⋊Dic79C2414yes—
837C22⋊Dic79C2414yes—
838C22⋊Dic79C2414yes—
839C22⋊Dic79C2412yes—
840(C2×D79)⋊C4C2412yes—
841(C2×D79)⋊C4C2412yes—
842(C2×D79)⋊C4C2412yes—
843(C2×D79)⋊C4C2412yes—
844(C2×D79)⋊C4C2414yes—
845(C2×D79)⋊C4C2414yes—
846(C2×D79)⋊C4C2414yes—
847(C2×D79)⋊C4C2414yes—
848(C2×D79)⋊C4C2414yes—
849(C2×D79)⋊C4C2414yes—
850(C2×D79)⋊C4C2414yes—
851(C2×D79)⋊C4C2414yes—
852(C2×D79)⋊C4C2414yes—
853(C2×D79)⋊C4C2414yes—
854(C2×D79)⋊C4C2414yes—
855(C2×D79)⋊C4C2414yes—
856(C2×D79)⋊C4C2412yes—
857(C2×D79)⋊C4C2412yes—
858(C2×D79)⋊C4C2414yes—
859(C2×D79)⋊C4C2412yes—
860(C2×D79)⋊C4C2412yes—
861(C2×D79)⋊C4C2414yes—
862(C2×D79)⋊C4C2414yes—
863(C2×D79)⋊C4C2414yes—
864(C2×D79)⋊C4C2414yes—
865(C2×D79)⋊C4C2414yes—
866(C2×D79)⋊C4C2414yes—
867(C2×D79)⋊C4C2412yes—
868(C2×D79)⋊C4C2412yes—
869(C2×D79)⋊C4C2412yes—
870(C2×D79)⋊C4C2412yes—
871(C2×D79)⋊C4C2414yes—
872(C2×D79)⋊C4C2412yes—
873(C2×D79)⋊C4C2412yes—
874(C2×D79)⋊C4C2412yes—
875(C2×D79)⋊C4C2412yes—
876C4×Dic79C2412yes—
877C4×Dic79C2412yes—
878C4×Dic79C2412yes—
879C4×Dic79C2414yes—
880C4×Dic79C2412yes—
881C4×Dic79C2412yes—
882C4×Dic79C2414yes—
883C4×Dic79C2412yes—
884C4×Dic79C2414yes—
885C4×Dic79C2414yes—
886C4×Dic79C2414yes—
887C4×Dic79C2414yes—
888C4×Dic79C2414yes—
889C4×Dic79C2414yes—
890C4×Dic79C2414yes—
891C24×C79C2412yes—
892#41×C79—42no—
893C2×Q8×C79—42no—
894C2×Q8×C79C2411yescharacteristic
895C2×Q8×C79C2412yes—
896C2×Q8×C79C2412yes—
897C2×Q8×C79C2412yes—
898C2×Q8×C79C2412yes—
899C2×D4×C79—42no—
900C2×D4×C79C2412yes—
901C2×D4×C79C2411yescharacteristic
902C2×D4×C79C2414yes—
903C2×D4×C79C2412yes—
904C2×D4×C79C2412yes—
905C2×D4×C79C2414yes—
906C22×C4×C79C2411yescharacteristic
907C22×C4×C79C2414yes—
908C22×C4×C79C2412yes—
909C22×C4×C79C2411yescharacteristic
910C22×C4×C79C2411yescharacteristic
911C22×C4×C79C2412yes—
912C22×C4×C79C2412yes—
913C22×C4×C79C2412yes—
914C22×C4×C79C2414yes—
915C4⋊C4×C79C2412yes—
916C4⋊C4×C79C2412yes—
917C4⋊C4×C79C2411yescharacteristic
918C4⋊C4×C79C2411yescharacteristic
919C4⋊C4×C79C2411yescharacteristic
920C4⋊C4×C79C2411yescharacteristic
921C4⋊C4×C79C2412yes—
922C4⋊C4×C79C2412yes—
923C4⋊C4×C79C2411yescharacteristic
924C4⋊C4×C79C2411yescharacteristic
925C4⋊C4×C79C2414yes—
926C4⋊C4×C79C2414yes—
927C4⋊C4×C79C2414yes—
928C4⋊C4×C79C2414yes—
929C4⋊C4×C79C2412yes—
930C4⋊C4×C79C2412yes—
931C4⋊C4×C79C2412yes—
932C4⋊C4×C79C2412yes—
933C22⋊C4×C79C2412yes—
934C22⋊C4×C79C2412yes—
935C22⋊C4×C79C2414yes—
936C22⋊C4×C79C2414yes—
937C22⋊C4×C79C2414yes—
938C22⋊C4×C79C2414yes—
939C22⋊C4×C79C2414yes—
940C22⋊C4×C79C2414yes—
941C22⋊C4×C79C2412yes—
942C22⋊C4×C79C2412yes—
943C22⋊C4×C79C2412yes—
944C22⋊C4×C79C2414yes—
945C22⋊C4×C79C2414yes—
946C22⋊C4×C79C2414yes—
947C22⋊C4×C79C2414yes—
948C42×C79C2411yescharacteristic
949C42×C79C2412yes—
950C42×C79C2412yes—
951C42×C79C2412yes—
952C42×C79C2411yescharacteristic
953C42×C79C2411yescharacteristic
954C42×C79C2411yescharacteristic
955C42×C79C2414yes—
956C42×C79C2414yes—
957C42×C79C2412yes—
958C42×C79C2412yes—
959C23×C79—42no—
960C23×C79—42no—
961C23×C79—42no—
962C23×C79C2512yes—
963C23×C79C2511yescharacteristic
964C23×C79C2514yes—
965C22×D79—44no—
966C22×D79—44no—
967C22×D79—44no—
968C22×D79—44no—
969C22×D79—44no—
970C22×D79—44no—
971C22×D79C2512yes—
972C22×D79C2514yes—
973C22×D79C2512yes—
974Q8×C79—22no—
975Q8×C79—24no—
976Q8×C79—42no—
977Q8×C79—42no—
978Q8×C79—42no—
979D4×C79—22no—
980D4×C79—24no—
981D4×C79—44no—
982D4×C79—42no—
983D4×C79—44no—
984D4×C79—42no—
985C2×C4×C79—22no—
986C2×C4×C79—42no—
987C2×C4×C79—44no—
988C2×C4×C79—41no—
989C2×C4×C79—42no—
990C2×C4×C79—41no—
991C2×C4×C79—44no—
992C2×C4×C79—42no—
993C2×C4×C79—42no—
994C2×C4×C79C2512yes—
995C2×C4×C79C2511yescharacteristic
996C2×C4×C79C2512yes—
997C2×C4×C79C2512yes—
998C2×C4×C79C2512yes—
999C2×C4×C79C2514yes—
1000C2×C4×C79C2512yes—
1001C2×C4×C79C2512yes—
1002C2×C4×C79C2511yescharacteristic
1003C2×C4×C79C2511yescharacteristic
1004C2×C4×C79C2511yescharacteristic
1005C2×C4×C79C2512yes—
1006C2×C4×C79C2511yescharacteristic
1007C2×C4×C79C2511yescharacteristic
1008C22⋊D79—44no—
1009C22⋊D79—44no—
1010C22⋊D79—44no—
1011C22⋊D79—44no—
1012C22⋊D79—42no—
1013C22⋊D79—44no—
1014C22⋊D79—44no—
1015C22⋊D79—44no—
1016C22⋊D79—44no—
1017C22⋊D79—42no—
1018C22⋊D79—44no—
1019C2×Dic79—44no—
1020C2×Dic79—44no—
1021C2×Dic79—44no—
1022C2×Dic79—44no—
1023C2×Dic79C2512yes—
1024C2×Dic79C2514yes—
1025C2×Dic79C2512yes—
1026C2×Dic79C2514yes—
1027C2×Dic79C2512yes—
1028C2×Dic79C2514yes—
1029C2×Dic79C2512yes—
1030C2×Dic79C2512yes—
1031C2×Dic79C2512yes—
1032D316—24no—
1033D316—42no—
1034D316—41no—
1035D316—44no—
1036D316—42no—
1037D316—41no—
1038D316—42no—
1039D316—42no—
1040D316—44no—
1041C4×D79—24no—
1042C4×D79—24no—
1043C4×D79—42no—
1044C4×D79—44no—
1045C4×D79—42no—
1046C4×D79—44no—
1047C4×D79—44no—
1048C4×D79—44no—
1049C4×D79—44no—
1050C4×D79—44no—
1051C4×D79—42no—
1052C4×D79—42no—
1053C4×D79—44no—
1054Dic158—24no—
1055Dic158—44no—
1056Dic158—44no—
1057Dic158—42no—
1058Dic158—44no—
1059Dic158—44no—
1060Dic158—42no—
1061Dic158—44no—
1062Dic158—41no—
1063Dic158—44no—
1064Dic158—42no—
1065Dic158—41no—
1066Dic158—42no—
1067C22×C79—22no—
1068C22×C79—24no—
1069C22×C79—21no—
1070C22×C79—21no—
1071C22×C79—24no—
1072C22×C79—22no—
1073C22×C79—21no—
1074C22×C79—24no—
1075C22×C79—22no—
1076C22×C79—162no—
1077C22×C79C2611yescharacteristic
1078C2×D79—22no—
1079C2×D79—24no—
1080C2×D79—22no—
1081C2×D79—22no—
1082C2×D79—24no—
1083C2×D79—22no—
1084C2×D79—22no—
1085C2×D79—24no—
1086C2×D79—22no—
1087C2×D79—164no—
1088C2×D79—164no—
1089C4×C79—21no—
1090C4×C79—22no—
1091C4×C79—24no—
1092C4×C79—22no—
1093C4×C79—21no—
1094C4×C79—22no—
1095C4×C79—21no—
1096C4×C79—22no—
1097C4×C79—21no—
1098C4×C79—22no—
1099C4×C79—22no—
1100C4×C79—21no—
1101C4×C79—22no—
1102C4×C79#58512yes—
1103Dic79—22no—
1104Dic79—22no—
1105Dic79—24no—
1106Dic79—22no—
1107Dic79—24no—
1108Dic79—24no—
1109Dic79—22no—
1110Dic79—22no—
1111Dic79—22no—
1112#63069—791nomaximal, Sylow
1113C2×C79—42no—
1114C2×C79—44no—
1115C2×C79—41no—
1116C2×C79C2×#58511yescharacteristic
1117C2×C79H(7,𝔽2)11yescharacteristic
1118C2×C792−1+611yescharacteristic
1119D79—42no—
1120D79—44no—
1121D79—42no—
1122#3568—794no—
1123#3568—794no—
1124#3568—792no—
1125#3561—792no—
1126#3561—794no—
1127#3561—794no—
1128#3561—792no—
1129#3561—792no—
1130#3561—791no—
1131#3558—792no—
1132#3558—792no—
1133#3558—791no—
1134#3550—792no—
1135#3550—792no—
1136#3550—791no—
1137#3545—794no—
1138#3545—794no—
1139#3545—792no—
1140#3531—791no—
1141#3531—792no—
1142#3518—792no—
1143#3518—792no—
1144#3518—791no—
1145#3514—792no—
1146#3514—792no—
1147#3514—791no—
1148#3510—792no—
1149#3510—792no—
1150#3510D7911yescharacteristic, complemented
1151C79#6306911yescharacteristic, complemented, Sylow
1152#564—791no—
1153#563—792no—
1154#563—792no—
1155#563—794no—
1156#563—794no—
1157#563—794no—
1158#563—792no—
1159#563—791no—
1160#563—791no—
1161#563—792no—
1162#563—792no—
1163#563—794no—
1164#563—794no—
1165#563—792no—
1166#563—794no—
1167#563—792no—
1168#562—791no—
1169#562—792no—
1170#562—792no—
1171#562—794no—
1172#562—794no—
1173#562—792no—
1174#562—792no—
1175#562—794no—
1176#562—794no—
1177H(3,𝔽4)—794no—
1178H(3,𝔽4)—792no—
1179H(3,𝔽4)—794no—
1180#559—792no—
1181#559—792no—
1182#559—792no—
1183#559—791no—
1184#559—792no—
1185#559—792no—
1186#559C2×D7912yescomplemented
1187#559C2×D7912yescomplemented
1188Q82—792no—
1189Q82—791no—
1190Q82—792no—
1191#556—792no—
1192#556—792no—
1193#556—794no—
1194#556—794no—
1195#556—792no—
1196#556—792no—
1197#556—794no—
1198#556—794no—
1199#556—792no—
1200#556—794no—
1201#556—792no—
1202#556—792no—
1203#556—791no—
1204#556—794no—
1205#556—791no—
1206#556—792no—
1207#556—792no—
1208#556—794no—
1209#556—794no—
1210#556—794no—
1211#556C2×D7912yescomplemented
1212#556C2×D7912yescomplemented
1213#555—792no—
1214#555—791no—
1215#555—792no—
1216#555—792no—
1217#555—794no—
1218#555—794no—
1219#551—794no—
1220#551—794no—
1221#551—794no—
1222#551—794no—
1223#551—794no—
1224#551—794no—
1225#551—794no—
1226#551—794no—
1227#551—794no—
1228#551—794no—
1229#551—794no—
1230#551—794no—
1231#551—794no—
1232#551—794no—
1233#551—794no—
1234#551—794no—
1235#551—794no—
1236#551—794no—
1237#551C2×D7914yescomplemented
1238#551C2×D7914yescomplemented
1239D4×Q8—792no—
1240D4×Q8—792no—
1241D4×Q8—792no—
1242D4×Q8—794no—
1243D4×Q8—792no—
1244D4×Q8—791no—
1245D4×Q8—792no—
1246D4×Q8—791no—
1247D4×Q8—794no—
1248#548—792no—
1249#548—792no—
1250#548—794no—
1251#548—792no—
1252#548—792no—
1253#548—792no—
1254#548—794no—
1255#548—792no—
1256#546—792no—
1257#546—792no—
1258#546—792no—
1259#546—792no—
1260#546—794no—
1261#546—794no—
1262#546—794no—
1263#546—794no—
1264#546—792no—
1265#546—792no—
1266#546—794no—
1267#546—794no—
1268#546—794no—
1269D42—792no—
1270D42—792no—
1271D42—791no—
1272#543—794no—
1273#543—794no—
1274#543—792no—
1275#542—794no—
1276#542—794no—
1277#542—794no—
1278#542—794no—
1279#542—794no—
1280#542—794no—
1281#542—794no—
1282#542—794no—
1283#542—792no—
1284#542—792no—
1285#542—792no—
1286#542—792no—
1287#542—794no—
1288#542—794no—
1289#542—794no—
1290#542—794no—
1291#542—794no—
1292#542—794no—
1293#542—792no—
1294#542—794no—
1295#542—792no—
1296#542—792no—
1297#542—794no—
1298#542—792no—
1299#542—794no—
1300#542—792no—
1301#542—794no—
1302#542—792no—
1303#542—794no—
1304#542C2×D7912yescomplemented
1305#542C2×D7912yescomplemented
1306#538—794no—
1307#538—794no—
1308#538—794no—
1309#538—794no—
1310#538—794no—
1311#538—794no—
1312#538—794no—
1313#538—794no—
1314#538—794no—
1315#538—794no—
1316#538—794no—
1317#538—794no—
1318#538—794no—
1319#538—794no—
1320#538—792no—
1321#538—792no—
1322#536—792no—
1323#536—792no—
1324#536—794no—
1325#536—794no—
1326#536—794no—
1327#536—794no—
1328#536—794no—
1329#536C2×D7911yescharacteristic, complemented
1330#535—792no—
1331#535—792no—
1332#535C2×D7911yescharacteristic
1333#534—794no—
1334#534—794no—
1335#534—792no—
1336#533—792no—
1337#533—792no—
1338#533—792no—
1339#533—794no—
1340#533—792no—
1341#533—794no—
1342#533—792no—
1343#533—791no—
1344#533C2×D7911yescharacteristic, complemented
1345#532—792no—
1346#532—792no—
1347#532—791no—
1348#529—794no—
1349#529—794no—
1350#529—794no—
1351#529—792no—
1352#529—792no—
1353#529—794no—
1354#529—794no—
1355#529—794no—
1356#529—794no—
1357#529—792no—
1358#529—792no—
1359#529—794no—
1360#529—791no—
1361#529—792no—
1362#529—791no—
1363#529—792no—
1364#529C2×D7912yescomplemented
1365#529C2×D7912yescomplemented
1366C2×#124—792no—
1367C2×#124—792no—
1368C2×#124—794no—
1369C2×#124—794no—
1370C2×#124—792no—
1371C2×#124C2×D7911yescharacteristic, complemented
1372#519—792no—
1373#519—792no—
1374#519C2×D7911yescharacteristic, complemented
1375#518—792no—
1376#518—792no—
1377#518C2×D7911yescharacteristic, complemented
1378C4×#41—792no—
1379C4×#41—792no—
1380C4×#41C2×D7911yescharacteristic, complemented
1381C2×#41—792no—
1382C2×#41—792no—
1383C2×#41—794no—
1384C2×#41—794no—
1385C2×#41—792no—
1386C2×#41C22×D7911yescharacteristic
1387C22×Q8—792no—
1388C22×Q8—792no—
1389C22×Q8—794no—
1390C22×Q8—794no—
1391C22×Q8—792no—
1392C22×Q8C22×D7911yescharacteristic
1393C22×D4—792no—
1394C22×D4—792no—
1395C22×D4—794no—
1396C22×D4—794no—
1397C22×D4—792no—
1398C22×D4C22×D7911yescharacteristic
1399C4⋊Q8—792no—
1400C4⋊Q8—792no—
1401C4⋊Q8—794no—
1402C4⋊Q8—792no—
1403C4⋊Q8—792no—
1404C4⋊Q8—794no—
1405C4⋊Q8—794no—
1406C4⋊Q8—792no—
1407C4⋊Q8—792no—
1408C4⋊Q8—794no—
1409C4⋊Q8—792no—
1410C4⋊Q8—794no—
1411C4⋊Q8—794no—
1412C4⋊Q8—794no—
1413C4⋊Q8—794no—
1414C4⋊Q8—792no—
1415C4⋊Q8—791no—
1416C4⋊Q8—791no—
1417C4⋊Q8—792no—
1418C4⋊Q8—792no—
1419C4⋊Q8—791no—
1420C4⋊Q8—792no—
1421C4⋊Q8—794no—
1422C4⋊Q8C22×D7912yes—
1423C4⋊Q8C22×D7911yescharacteristic
1424C4⋊Q8C22×D7911yescharacteristic
1425#127—792no—
1426#127—791no—
1427#127C22×D7912yes—
1428#126—792no—
1429#126—792no—
1430#126—792no—
1431#126—794no—
1432#126—794no—
1433#126—794no—
1434#126—794no—
1435#126—794no—
1436#126—794no—
1437#126—794no—
1438#126—792no—
1439#126—792no—
1440#126—792no—
1441#126—794no—
1442#126—794no—
1443#126—794no—
1444#126—792no—
1445#126—794no—
1446#126—794no—
1447#126—794no—
1448#126—794no—
1449#126—794no—
1450#126—794no—
1451#126—794no—
1452#126—792no—
1453#126—794no—
1454#126—794no—
1455#126—794no—
1456#126—794no—
1457#126—794no—
1458#126—792no—
1459#126—794no—
1460#126—794no—
1461#126—794no—
1462#126—792no—
1463#126—794no—
1464#126C22×D7914yes—
1465#126C22×D7914yes—
1466#126C22×D7914yes—
1467#126C22×D7914yes—
1468#125—792no—
1469#125—792no—
1470#125—792no—
1471#125—792no—
1472#125—792no—
1473#125—792no—
1474#125—792no—
1475#125—792no—
1476#125—794no—
1477#125—794no—
1478#125—791no—
1479#125—791no—
1480#125—792no—
1481#125C22×D7911yescharacteristic
1482#125C22×D7911yescharacteristic
1483#124—792no—
1484#124—792no—
1485#124—792no—
1486#124—792no—
1487#124—794no—
1488#124—794no—
1489#124—794no—
1490#124—792no—
1491#124—792no—
1492#124—794no—
1493#124—794no—
1494#124—792no—
1495#124—794no—
1496#124—794no—
1497#124—794no—
1498#124—794no—
1499#124—794no—
1500#124—794no—
1501#124—794no—
1502#124—794no—
1503#124—794no—
1504#124—794no—
1505#124—794no—
1506#124—794no—
1507#124—794no—
1508#124—794no—
1509#124—794no—
1510#124—792no—
1511#124—794no—
1512#124—794no—
1513#124—794no—
1514#124—794no—
1515#124—794no—
1516#124—794no—
1517#124—794no—
1518#124—794no—
1519#124—791no—
1520#124—792no—
1521#124—792no—
1522#124—794no—
1523#124—792no—
1524#124—794no—
1525#124—794no—
1526#124—792no—
1527#124—792no—
1528#124—791no—
1529#124—794no—
1530#124—794no—
1531#124C22×D7912yes—
1532#124C22×D7912yes—
1533#124C22×D7914yes—
1534#124C22×D7912yes—
1535#124C22×D7912yes—
1536#124C22×D7912yes—
1537#124C22×D7912yes—
1538#124C22×D7914yes—
1539#123—794no—
1540#123—794no—
1541#123—794no—
1542#123—794no—
1543#123—792no—
1544#123—794no—
1545#123—794no—
1546#123—792no—
1547#123—794no—
1548#123—794no—
1549#123—794no—
1550#123—792no—
1551#123—792no—
1552#123—792no—
1553#123—794no—
1554#123—792no—
1555#123—792no—
1556#123—792no—
1557#123—794no—
1558#123—794no—
1559#123—794no—
1560#123—794no—
1561#123—794no—
1562#123—794no—
1563#123—794no—
1564#123—794no—
1565#123—794no—
1566#123—792no—
1567#123—794no—
1568#123—794no—
1569#123—794no—
1570#123—794no—
1571#123—792no—
1572#123—794no—
1573#123—794no—
1574#123—794no—
1575#123—794no—
1576#123—794no—
1577#123—794no—
1578#123—794no—
1579#123C22×D7914yes—
1580#123C22×D7914yes—
1581#123C22×D7914yes—
1582#123C22×D7914yes—
1583#123C22×D7914yes—
1584C22⋊Q8—792no—
1585C22⋊Q8—792no—
1586C22⋊Q8—792no—
1587C22⋊Q8—794no—
1588C22⋊Q8—792no—
1589C22⋊Q8—792no—
1590C22⋊Q8—792no—
1591C22⋊Q8—792no—
1592C22⋊Q8—794no—
1593C22⋊Q8—794no—
1594C22⋊Q8—791no—
1595C22⋊Q8—792no—
1596C22⋊Q8—792no—
1597C22⋊Q8—791no—
1598C22⋊Q8—792no—
1599C22⋊Q8—794no—
1600C22⋊Q8—792no—
1601C22⋊Q8—794no—
1602C22⋊Q8—794no—
1603C22⋊Q8—794no—
1604C22⋊Q8—794no—
1605C22⋊Q8—794no—
1606C22⋊Q8—794no—
1607C22⋊Q8—792no—
1608C22⋊Q8—794no—
1609C22⋊Q8—794no—
1610C22⋊Q8—792no—
1611C22⋊Q8—794no—
1612C22⋊Q8—794no—
1613C22⋊Q8—792no—
1614C22⋊Q8—792no—
1615C22⋊Q8—792no—
1616C22⋊Q8—794no—
1617C22⋊Q8—792no—
1618C22⋊Q8—794no—
1619C22⋊Q8—794no—
1620C22⋊Q8—792no—
1621C22⋊Q8—792no—
1622C22⋊Q8—792no—
1623C22⋊Q8—794no—
1624C22⋊Q8—794no—
1625C22⋊Q8—794no—
1626C22⋊Q8—794no—
1627C22⋊Q8—794no—
1628C22⋊Q8—794no—
1629C22⋊Q8—794no—
1630C22⋊Q8—794no—
1631C22⋊Q8—794no—
1632C22⋊Q8—794no—
1633C22⋊Q8—794no—
1634C22⋊Q8—794no—
1635C22⋊Q8—794no—
1636C22⋊Q8—794no—
1637C22⋊Q8—794no—
1638C22⋊Q8—794no—
1639C22⋊Q8—794no—
1640C22⋊Q8—794no—
1641C22⋊Q8—794no—
1642C22⋊Q8—794no—
1643C22⋊Q8—794no—
1644C22⋊Q8C22×D7914yes—
1645C22⋊Q8C22×D7912yes—
1646C22⋊Q8C22×D7912yes—
1647C22⋊Q8C22×D7912yes—
1648C22⋊Q8C22×D7912yes—
1649C22⋊Q8C22×D7914yes—
1650#121—794no—
1651#121—794no—
1652#121—794no—
1653#121—794no—
1654#121—794no—
1655#121—792no—
1656#121—792no—
1657#121—792no—
1658#121—794no—
1659#121—794no—
1660#121—794no—
1661#121—791no—
1662#121—792no—
1663#121—794no—
1664#121—792no—
1665#121—791no—
1666#121—792no—
1667#121—792no—
1668#121—794no—
1669#121—794no—
1670#121—792no—
1671#121—792no—
1672#121—792no—
1673#121—794no—
1674#121—792no—
1675#121—794no—
1676#121—794no—
1677#121—794no—
1678#121—792no—
1679#121—794no—
1680#121—794no—
1681#121—794no—
1682#121—794no—
1683#121—794no—
1684#121C22×D7912yes—
1685#121C22×D7912yes—
1686#120—794no—
1687#120—794no—
1688#120—794no—
1689#120—794no—
1690#120—794no—
1691#120—794no—
1692#120—794no—
1693#120—794no—
1694#120—794no—
1695#120—794no—
1696#120—794no—
1697#120—794no—
1698#120—794no—
1699#120—794no—
1700#120C22×D7914yes—
1701C4×Q8—792no—
1702C4×Q8—792no—
1703C4×Q8—792no—
1704C4×Q8—794no—
1705C4×Q8—792no—
1706C4×Q8—794no—
1707C4×Q8—794no—
1708C4×Q8—794no—
1709C4×Q8—792no—
1710C4×Q8—794no—
1711C4×Q8—794no—
1712C4×Q8—792no—
1713C4×Q8—792no—
1714C4×Q8—794no—
1715C4×Q8—792no—
1716C4×Q8—794no—
1717C4×Q8—791no—
1718C4×Q8—792no—
1719C4×Q8—792no—
1720C4×Q8—791no—
1721C4×Q8—794no—
1722C4×Q8—792no—
1723C4×Q8—794no—
1724C4×Q8—792no—
1725C4×Q8C22×D7912yes—
1726C4×Q8C22×D7911yescharacteristic
1727C4×Q8C22×D7911yescharacteristic
1728C4×Q8C22×D7912yes—
1729C4×Q8C22×D7912yes—
1730C4×Q8C22×D7912yes—
1731C4×Q8C22×D7912yes—
1732C4×Q8C22×D7912yes—
1733C4×D4—792no—
1734C4×D4—792no—
1735C4×D4—792no—
1736C4×D4—794no—
1737C4×D4—794no—
1738C4×D4—794no—
1739C4×D4—794no—
1740C4×D4—794no—
1741C4×D4—792no—
1742C4×D4—792no—
1743C4×D4—794no—
1744C4×D4—794no—
1745C4×D4—794no—
1746C4×D4—794no—
1747C4×D4—794no—
1748C4×D4—792no—
1749C4×D4—794no—
1750C4×D4—794no—
1751C4×D4—794no—
1752C4×D4—794no—
1753C4×D4—794no—
1754C4×D4—794no—
1755C4×D4—794no—
1756C4×D4—794no—
1757C4×D4—794no—
1758C4×D4—794no—
1759C4×D4—792no—
1760C4×D4—794no—
1761C4×D4—792no—
1762C4×D4—792no—
1763C4×D4—792no—
1764C4×D4—791no—
1765C4×D4—792no—
1766C4×D4—791no—
1767C4×D4—792no—
1768C4×D4—792no—
1769C4×D4—794no—
1770C4×D4—792no—
1771C4×D4C22×D7912yes—
1772C4×D4C22×D7911yescharacteristic
1773C4×D4C22×D7912yes—
1774C4×D4C22×D7911yescharacteristic
1775C4×D4C22×D7912yes—
1776C4×D4C22×D7912yes—
1777C4×D4C22×D7912yes—
1778C4×D4C22×D7912yes—
1779C4×D4C22×D7914yes—
1780C4×D4C22×D7914yes—
1781#117—792no—
1782#117—794no—
1783#117—792no—
1784#117—792no—
1785#117—792no—
1786#117—792no—
1787#117—794no—
1788#117—794no—
1789#117—794no—
1790#117—794no—
1791#117—794no—
1792#117—794no—
1793#117—794no—
1794#117—794no—
1795#117—794no—
1796#117—792no—
1797#117—792no—
1798#117—792no—
1799#117—792no—
1800#117—794no—
1801#117—794no—
1802#117—794no—
1803#117—794no—
1804#117—794no—
1805#117C22×D7911yescharacteristic
1806#117C22×D7912yes—
1807#117C22×D7911yescharacteristic
1808#117C22×D7911yescharacteristic
1809#117C22×D7914yes—
1810#117C22×D7914yes—
1811#117C22×D7914yes—
1812C2×C22⋊C4—794no—
1813C2×C22⋊C4—794no—
1814C2×C22⋊C4—794no—
1815C2×C22⋊C4—794no—
1816C2×C22⋊C4—794no—
1817C2×C22⋊C4—794no—
1818C2×C22⋊C4—794no—
1819C2×C22⋊C4—794no—
1820C2×C22⋊C4—794no—
1821C2×C22⋊C4—794no—
1822C2×C22⋊C4—794no—
1823C2×C22⋊C4—794no—
1824C2×C22⋊C4—794no—
1825C2×C22⋊C4C22×D7914yes—
1826C2×C22⋊C4C22×D7912yes—
1827C2×C22⋊C4C22×D7912yes—
1828C2×C42—794no—
1829C2×C42—794no—
1830C2×C42—792no—
1831C2×C42—792no—
1832C2×C42C22×D7912yes—
1833C2×C42C22×D7911yescharacteristic
1834C24—794no—
1835C24—794no—
1836C24C23×D7912yes—
1837#41—42no—
1838#41—3164no—
1839#41—3164no—
1840#41—6324no—
1841#41—6322no—
1842#41—6324no—
1843C2×Q8—42no—
1844C2×Q8—3164no—
1845C2×Q8—3164no—
1846C2×Q8—791no—
1847C2×Q8—792no—
1848C2×Q8—794no—
1849C2×Q8—794no—
1850C2×Q8—792no—
1851C2×Q8—791no—
1852C2×Q8—794no—
1853C2×Q8—792no—
1854C2×Q8—794no—
1855C2×Q8—794no—
1856C2×Q8—792no—
1857C2×Q8—794no—
1858C2×Q8—792no—
1859C2×Q8—6322no—
1860C2×Q8—6324no—
1861C2×Q8—6324no—
1862C2×Q8C23×D7911yescharacteristic
1863C2×Q8C23×D7912yes—
1864C2×Q8C23×D7912yes—
1865C2×Q8C23×D7912yes—
1866C2×Q8C23×D7912yes—
1867C2×D4—42no—
1868C2×D4—3164no—
1869C2×D4—3164no—
1870C2×D4—792no—
1871C2×D4—794no—
1872C2×D4—794no—
1873C2×D4—794no—
1874C2×D4—794no—
1875C2×D4—794no—
1876C2×D4—794no—
1877C2×D4—794no—
1878C2×D4—794no—
1879C2×D4—794no—
1880C2×D4—792no—
1881C2×D4—792no—
1882C2×D4—791no—
1883C2×D4—792no—
1884C2×D4—794no—
1885C2×D4—794no—
1886C2×D4—792no—
1887C2×D4—792no—
1888C2×D4—791no—
1889C2×D4—792no—
1890C2×D4—6322no—
1891C2×D4—6324no—
1892C2×D4—6324no—
1893C2×D4C23×D7911yescharacteristic
1894C2×D4C23×D7912yes—
1895C2×D4C23×D7914yes—
1896C2×D4C23×D7912yes—
1897C2×D4C23×D7912yes—
1898C2×D4C23×D7914yes—
1899C22×C4—794no—
1900C22×C4—794no—
1901C22×C4—794no—
1902C22×C4—794no—
1903C22×C4—794no—
1904C22×C4—792no—
1905C22×C4—792no—
1906C22×C4—794no—
1907C22×C4—792no—
1908C22×C4—792no—
1909C22×C4—794no—
1910C22×C4—794no—
1911C22×C4—794no—
1912C22×C4—794no—
1913C22×C4—794no—
1914C22×C4—792no—
1915C22×C4—792no—
1916C22×C4C23×D7911yescharacteristic
1917C22×C4C23×D7914yes—
1918C22×C4C23×D7912yes—
1919C22×C4C23×D7912yes—
1920C22×C4C23×D7911yescharacteristic
1921C22×C4C23×D7911yescharacteristic
1922C22×C4C23×D7912yes—
1923C22×C4C23×D7914yes—
1924C22×C4C23×D7912yes—
1925C4⋊C4—794no—
1926C4⋊C4—794no—
1927C4⋊C4—792no—
1928C4⋊C4—794no—
1929C4⋊C4—792no—
1930C4⋊C4—794no—
1931C4⋊C4—792no—
1932C4⋊C4—792no—
1933C4⋊C4—792no—
1934C4⋊C4—792no—
1935C4⋊C4—792no—
1936C4⋊C4—792no—
1937C4⋊C4—794no—
1938C4⋊C4—792no—
1939C4⋊C4—792no—
1940C4⋊C4—792no—
1941C4⋊C4—792no—
1942C4⋊C4—794no—
1943C4⋊C4—794no—
1944C4⋊C4—792no—
1945C4⋊C4—792no—
1946C4⋊C4—792no—
1947C4⋊C4—792no—
1948C4⋊C4—794no—
1949C4⋊C4—794no—
1950C4⋊C4—794no—
1951C4⋊C4—794no—
1952C4⋊C4—794no—
1953C4⋊C4—792no—
1954C4⋊C4—792no—
1955C4⋊C4—791no—
1956C4⋊C4—794no—
1957C4⋊C4—792no—
1958C4⋊C4—791no—
1959C4⋊C4—792no—
1960C4⋊C4—792no—
1961C4⋊C4—792no—
1962C4⋊C4—792no—
1963C4⋊C4—794no—
1964C4⋊C4—794no—
1965C4⋊C4—794no—
1966C4⋊C4—791no—
1967C4⋊C4—792no—
1968C4⋊C4—792no—
1969C4⋊C4—791no—
1970C4⋊C4—794no—
1971C4⋊C4—792no—
1972C4⋊C4—794no—
1973C4⋊C4C23×D7911yescharacteristic
1974C4⋊C4C23×D7914yes—
1975C4⋊C4C23×D7912yes—
1976C4⋊C4C23×D7912yes—
1977C4⋊C4C23×D7914yes—
1978C4⋊C4C23×D7914yes—
1979C4⋊C4C23×D7912yes—
1980C4⋊C4C23×D7912yes—
1981C4⋊C4C23×D7911yescharacteristic
1982C4⋊C4C23×D7911yescharacteristic
1983C4⋊C4C23×D7911yescharacteristic
1984C4⋊C4C23×D7912yes—
1985C4⋊C4C23×D7914yes—
1986C4⋊C4C23×D7911yescharacteristic
1987C4⋊C4C23×D7911yescharacteristic
1988C4⋊C4C23×D7912yes—
1989C4⋊C4C23×D7912yes—
1990C4⋊C4C23×D7912yes—
1991C22⋊C4—792no—
1992C22⋊C4—794no—
1993C22⋊C4—794no—
1994C22⋊C4—794no—
1995C22⋊C4—794no—
1996C22⋊C4—794no—
1997C22⋊C4—794no—
1998C22⋊C4—794no—
1999C22⋊C4—794no—
2000C22⋊C4—794no—
2001C22⋊C4—794no—
2002C22⋊C4—794no—
2003C22⋊C4—792no—
2004C22⋊C4—794no—
2005C22⋊C4—794no—
2006C22⋊C4—794no—
2007C22⋊C4—792no—
2008C22⋊C4—792no—
2009C22⋊C4—792no—
2010C22⋊C4—792no—
2011C22⋊C4—792no—
2012C22⋊C4—792no—
2013C22⋊C4—792no—
2014C22⋊C4—792no—
2015C22⋊C4—794no—
2016C22⋊C4—794no—
2017C22⋊C4—794no—
2018C22⋊C4—794no—
2019C22⋊C4—794no—
2020C22⋊C4—794no—
2021C22⋊C4—794no—
2022C22⋊C4—794no—
2023C22⋊C4—794no—
2024C22⋊C4—794no—
2025C22⋊C4—794no—
2026C22⋊C4—794no—
2027C22⋊C4—794no—
2028C22⋊C4—794no—
2029C22⋊C4—794no—
2030C22⋊C4—794no—
2031C22⋊C4—792no—
2032C22⋊C4—792no—
2033C22⋊C4—792no—
2034C22⋊C4—792no—
2035C22⋊C4—794no—
2036C22⋊C4—792no—
2037C22⋊C4—792no—
2038C22⋊C4—792no—
2039C22⋊C4—792no—
2040C22⋊C4C23×D7912yes—
2041C22⋊C4C23×D7914yes—
2042C22⋊C4C23×D7914yes—
2043C22⋊C4C23×D7914yes—
2044C22⋊C4C23×D7914yes—
2045C22⋊C4C23×D7914yes—
2046C22⋊C4C23×D7914yes—
2047C22⋊C4C23×D7912yes—
2048C22⋊C4C23×D7912yes—
2049C22⋊C4C23×D7914yes—
2050C22⋊C4C23×D7914yes—
2051C22⋊C4C23×D7914yes—
2052C22⋊C4C23×D7914yes—
2053C22⋊C4C23×D7912yes—
2054C22⋊C4C23×D7912yes—
2055C42—792no—
2056C42—792no—
2057C42—794no—
2058C42—794no—
2059C42—794no—
2060C42—792no—
2061C42—792no—
2062C42—792no—
2063C42—794no—
2064C42—794no—
2065C42—792no—
2066C42—794no—
2067C42—794no—
2068C42—794no—
2069C42—794no—
2070C42C23×D7914yes—
2071C42C23×D7912yes—
2072C42C23×D7912yes—
2073C42C23×D7911yescharacteristic
2074C42C23×D7912yes—
2075C42C23×D7912yes—
2076C42C23×D7911yescharacteristic
2077C42C23×D7911yescharacteristic
2078C42C23×D7911yescharacteristic
2079C42C23×D7912yes—
2080C42C23×D7914yes—
2081C23—42no—
2082C23—42no—
2083C23—42no—
2084C23—3164no—
2085C23—3164no—
2086C23—3164no—
2087C23—3164no—
2088C23—3164no—
2089C23—3164no—
2090C23—792no—
2091C23—792no—
2092C23—794no—
2093C23C24×D7912yes—
2094C23C24×D7911yescharacteristic
2095C23C24×D7914yes—
2096Q8—24no—
2097Q8—22no—
2098Q8—42no—
2099Q8—42no—
2100Q8—42no—
2101Q8—3164no—
2102Q8—3164no—
2103Q8—3161no—
2104Q8—3164no—
2105Q8—3162no—
2106Q8—3164no—
2107Q8—3162no—
2108Q8—3162no—
2109Q8—3164no—
2110Q8—3164no—
2111Q8—3161no—
2112Q8—3162no—
2113Q8—1584no—
2114D4—24no—
2115D4—22no—
2116D4—42no—
2117D4—44no—
2118D4—44no—
2119D4—42no—
2120D4—3161no—
2121D4—3162no—
2122D4—3162no—
2123D4—3164no—
2124D4—3164no—
2125D4—3161no—
2126D4—3162no—
2127D4—3162no—
2128D4—3164no—
2129D4—3164no—
2130D4—3162no—
2131D4—3164no—
2132D4—3162no—
2133D4—3164no—
2134D4—3164no—
2135D4—3164no—
2136D4—3164no—
2137D4—3164no—
2138D4—3164no—
2139D4—1584no—
2140C2×C4—22no—
2141C2×C4—42no—
2142C2×C4—44no—
2143C2×C4—41no—
2144C2×C4—42no—
2145C2×C4—42no—
2146C2×C4—44no—
2147C2×C4—42no—
2148C2×C4—41no—
2149C2×C4—3164no—
2150C2×C4—3164no—
2151C2×C4—3164no—
2152C2×C4—3164no—
2153C2×C4—3164no—
2154C2×C4—3164no—
2155C2×C4—3162no—
2156C2×C4—3162no—
2157C2×C4—3164no—
2158C2×C4—3162no—
2159C2×C4—3162no—
2160C2×C4—3164no—
2161C2×C4—3164no—
2162C2×C4—3164no—
2163C2×C4—3164no—
2164C2×C4—792no—
2165C2×C4—792no—
2166C2×C4—794no—
2167C2×C4—792no—
2168C2×C4—792no—
2169C2×C4—794no—
2170C2×C4—794no—
2171C2×C4—792no—
2172C2×C4—792no—
2173C2×C4—1584no—
2174C2×C4—1584no—
2175C2×C4C24×D7912yes—
2176C2×C4C24×D7911yescharacteristic
2177C2×C4C24×D7912yes—
2178C2×C4C24×D7912yes—
2179C2×C4C24×D7912yes—
2180C2×C4C24×D7914yes—
2181C2×C4C24×D7912yes—
2182C2×C4C24×D7912yes—
2183C2×C4C24×D7911yescharacteristic
2184C2×C4C24×D7911yescharacteristic
2185C2×C4C24×D7912yes—
2186C2×C4C24×D7911yescharacteristic
2187C2×C4C24×D7911yescharacteristic
2188C2×C4C24×D7911yescharacteristic
2189C22—21no—
2190C22—22no—
2191C22—24no—
2192C22—22no—
2193C22—24no—
2194C22—21no—
2195C22—22no—
2196C22—24no—
2197C22—21no—
2198C22—162no—
2199C22—1582no—
2200C22—1582no—
2201C22—1584no—
2202C22—1584no—
2203C22—1582no—
2204C22—1582no—
2205C22—1582no—
2206C22—1582no—
2207C22—1584no—
2208C22—12644no—
2209C22—12644no—
2210C22C25×D7911yescharacteristic
2211C4—21no—
2212C4—22no—
2213C4—24no—
2214C4—21no—
2215C4—22no—
2216C4—22no—
2217C4—21no—
2218C4—22no—
2219C4—22no—
2220C4—21no—
2221C4—22no—
2222C4—21no—
2223C4—22no—
2224C4—1584no—
2225C4—1582no—
2226C4—1582no—
2227C4—1582no—
2228C4—1582no—
2229C4—1584no—
2230C4—1584no—
2231C4—1582no—
2232C4—1582no—
2233C4#1909939912yes—
2234C2—41no—
2235C2—44no—
2236C2—42no—
2237C2—3162no—
2238C2—3162no—
2239C2—3164no—
2240C2C2×#1909939911yescharacteristic
2241C2#2377821111yescharacteristic
2242C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3510C2
hypercenter#3510D79
hypocenterC79#63069
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3510

Complements

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

NH ≅ G/Ntype
1. #23778096C2semidirect
2. #23778092C2semidirect
3. #23778091C2semidirect
4. #23777972C2semidirect
5. #23777970C2semidirect
6. #23777969C2semidirect
7. #23777964C2semidirect
8. #23777961C2semidirect
9. #23777958C2semidirect
10. #23777920C2semidirect
11. #23777919C2semidirect
12. #23777918C2semidirect
13. #23777813C2semidirect
14. #23777812C2semidirect
15. #23777811C2semidirect
16. #23777756C2semidirect
17. #23777753C2semidirect
18. #23777752C2semidirect
19. #23777547C2semidirect
20. #23777545C2semidirect
21. #23777417C2semidirect
22. #23777414C2semidirect
23. #23777411C2semidirect
24. #23777361C2semidirect
25. #23777360C2semidirect
26. #23777351C2semidirect
27. #23777293C2semidirect
28. #23777290C2semidirect
29. C79×#3510C2semidirect
30. C79⋊#564C22semidirect
31. #19099317C22semidirect
32. #19099317C22semidirect
33. #19099317C22semidirect
34. #19099317C22semidirect
35. #19099316C22semidirect
36. #19099316C22semidirect
37. #19099315C22semidirect
38. #19099315C22semidirect
39. #19099315C22semidirect
40. #19099314C22semidirect
41. #19099314C22semidirect
42. #19099314C22semidirect
43. #19099313C22semidirect
44. #19099312C22semidirect
45. #19099312C22semidirect
46. #19099311C22semidirect
47. #19099310C22semidirect
48. #19099310C22semidirect
49. #19099309C22semidirect
50. #19099309C22semidirect
51. #19099309C22semidirect
52. #19099308C22semidirect
53. #19099307C22semidirect
54. #19099307C22semidirect
55. #19099306C22semidirect
56. #19099305C22semidirect
57. #19099305C22semidirect
58. #19099299C22semidirect
59. #19099298C22semidirect
60. #19099298C22semidirect
61. #19099296C22semidirect
62. #19099295C22semidirect
63. #19099295C22semidirect
64. Q8×Dic158C22semidirect
65. Q8×Dic158C22semidirect
66. Q8×Dic158C22semidirect
67. #19099287C22semidirect
68. #19099287C22semidirect
69. #19099286C22semidirect
70. #19099286C22semidirect
71. #19099286C22semidirect
72. #19099286C22semidirect
73. #19099285C22semidirect
74. #19099285C22semidirect
75. #19099284C22semidirect
76. #19099283C22semidirect
77. #19099283C22semidirect
78. #19099282C22semidirect
79. #19099282C22semidirect
80. #19099282C22semidirect
81. #19099281C22semidirect
82. #19099281C22semidirect
83. #19099281C22semidirect
84. #19099281C22semidirect
85. #19099280C22semidirect
86. #19099280C22semidirect
87. #19099278C22semidirect
88. #19099278C22semidirect
89. #19099278C22semidirect
90. #19099276C22semidirect
91. #19099276C22semidirect
92. #19099276C22semidirect
93. #19099243C22semidirect
94. #19099242C22semidirect
95. #19099242C22semidirect
96. #19099241C22semidirect
97. #19099241C22semidirect
98. #19099240C22semidirect
99. #19099240C22semidirect
100. #19099239C22semidirect
101. #19099239C22semidirect
102. #19099238C22semidirect
103. #19099238C22semidirect
104. #19099238C22semidirect
105. #19099237C22semidirect
106. #19099237C22semidirect
107. #19099237C22semidirect
108. #19099236C22semidirect
109. #19099236C22semidirect
110. #19099236C22semidirect
111. Q8×D316C22semidirect
112. Q8×D316C22semidirect
113. D4×Dic158C22semidirect
114. D4×Dic158C22semidirect
115. D4×Dic158C22semidirect
116. #19099228C22semidirect
117. #19099228C22semidirect
118. Q8×C22⋊D79C22semidirect
119. #19099226C22semidirect
120. #19099225C22semidirect
121. #19099224C22semidirect
122. #19099222C22semidirect
123. #19099222C22semidirect
124. #19099221C22semidirect
125. #19099221C22semidirect
126. #19099221C22semidirect
127. #19099220C22semidirect
128. #19099209C22semidirect
129. #19099209C22semidirect
130. #19099208C22semidirect
131. #19099208C22semidirect
132. #19099207C22semidirect
133. #19099206C22semidirect
134. #19099206C22semidirect
135. #19099205C22semidirect
136. #19099203C22semidirect
137. #19099203C22semidirect
138. #19099202C22semidirect
139. #19099201C22semidirect
140. #19099200C22semidirect
141. D4×D316C22semidirect
142. #19099198C22semidirect
143. D4×C22⋊D79C22semidirect
144. #19099189C22semidirect
145. #19099188C22semidirect
146. #19099188C22semidirect
147. #19099186C22semidirect
148. #19099185C22semidirect
149. #19099185C22semidirect
150. #19099185C22semidirect
151. #19099184C22semidirect
152. #19099184C22semidirect
153. #19099184C22semidirect
154. #19099184C22semidirect
155. #19099183C22semidirect
156. #19099183C22semidirect
157. #19099182C22semidirect
158. #19099182C22semidirect
159. #19099182C22semidirect
160. #19099182C22semidirect
161. #19099182C22semidirect
162. #19099181C22semidirect
163. #19099181C22semidirect
164. #19099179C22semidirect
165. #19099179C22semidirect
166. #19099179C22semidirect
167. #19099179C22semidirect
168. #19099179C22semidirect
169. #19099179C22semidirect
170. #19099178C22semidirect
171. #19099178C22semidirect
172. #19099178C22semidirect
173. #19099178C22semidirect
174. #19099177C22semidirect
175. #19099177C22semidirect
176. #19099152C22semidirect
177. #19099151C22semidirect
178. #19099151C22semidirect
179. #19099151C22semidirect
180. #19099150C22semidirect
181. #19099149C22semidirect
182. #19099149C22semidirect
183. #19099149C22semidirect
184. #19099149C22semidirect
185. #19099148C22semidirect
186. #19099147C22semidirect
187. #19099147C22semidirect
188. #19099146C22semidirect
189. #19099146C22semidirect
190. #19099146C22semidirect
191. #19099145C22semidirect
192. #19099139C22semidirect
193. #19099138C22semidirect
194. #19099136C22semidirect
195. #19099136C22semidirect
196. #19099135C22semidirect
197. #19099135C22semidirect
198. #19099133C22semidirect
201. #19099125C22semidirect
202. #19099124C22semidirect
203. #19099123C22semidirect
204. #19099120C22semidirect
205. #19099120C22semidirect
206. #19099118C22semidirect
207. #19099117C22semidirect
208. #19099117C22semidirect
209. #19099117C22semidirect
210. #19099117C22semidirect
211. #19099116C22semidirect
215. #19099100C22semidirect
216. #19099100C22semidirect
217. #19099099C22semidirect
218. #19099097C22semidirect
219. #19099097C22semidirect
220. #19099097C22semidirect
221. #19099097C22semidirect
222. #19099096C22semidirect
223. #19099095C22semidirect
224. #19099093C22semidirect
225. #19099093C22semidirect
226. #19099091C22semidirect
227. #19099091C22semidirect
228. #19099091C22semidirect
229. #19099091C22semidirect
230. #19099090C22semidirect
231. C2×#14579149C22semidirect
232. C2×#14579147C22semidirect
233. #124×D79C22semidirect
234. #124×D79C22semidirect
235. #124×D79C22semidirect
236. #19099039C22semidirect
237. #19099039C22semidirect
238. #19099035C22semidirect
239. #19099035C22semidirect
240. C4×#11929625C22semidirect
241. C4×#11929623C22semidirect
242. #559×C79C22semidirect
243. #559×C79C22semidirect
244. #556×C79C22semidirect
245. #556×C79C22semidirect
246. #551×C79C22semidirect
247. #551×C79C22semidirect
248. #542×C79C22semidirect
249. #542×C79C22semidirect
250. #536×C79C22semidirect
252. #533×C79C22semidirect
253. #529×C79C22semidirect
254. #529×C79C22semidirect
255. C2×#124×C79C22semidirect
256. #519×C79C22semidirect
257. #518×C79C22semidirect
258. C4×#41×C79C22semidirect
1150. #3510D79semidirect
1151. C79#63069semidirect
1186. #559C2×D79semidirect
1187. #559C2×D79semidirect
1211. #556C2×D79semidirect
1212. #556C2×D79semidirect
1237. #551C2×D79semidirect
1238. #551C2×D79semidirect
1304. #542C2×D79semidirect
1305. #542C2×D79semidirect
1329. #536C2×D79semidirect
1344. #533C2×D79semidirect
1364. #529C2×D79semidirect
1365. #529C2×D79semidirect
1371. C2×#124C2×D79semidirect
1374. #519C2×D79semidirect
1377. #518C2×D79semidirect
1380. C4×#41C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780962
#237780922
#237780912
#237779722
#237779702
#237779692
#237779642
#237779612
#237779582
#237779202
#237779192
#237779182
#237778132
#237778122
#237778112
#237777562
#237777532
#237777522
#237775472
#237775452
#237774172
#237774142
#237774112
#237773612
#237773602
#237773512
#237772932
#237772902
C79×#35102
#6306979