Finite Group Databasebeta

← #35201930

Subgroups — #35201930

Order 20224.

6286 conjugacy classes of subgroups.

The subgroup lattice has 1874 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778096C212yesmaximal, complemented
2#23778069C214yesmaximal, complemented
3#23778036C214yesmaximal, complemented
4#23778025C214yesmaximal, complemented
5#23778019C214yesmaximal, complemented
6#23778012C214yesmaximal, complemented
7#23778010C212yesmaximal, complemented
8#23778003C212yesmaximal, complemented
9#23777897C214yesmaximal, complemented
10#23777883C214yesmaximal, complemented
11#23777853C212yesmaximal, complemented
12#23777757C211yesmaximal, characteristic, complemented
13#23777738C212yesmaximal, complemented
14#23777605C214yesmaximal, complemented
15#23777573C212yesmaximal, complemented
16#23777545C212yesmaximal, complemented
17C2×#19099313C211yesmaximal, characteristic, complemented
18#23777461C214yesmaximal, complemented
19#23777378C212yesmaximal, complemented
20#23777281C212yesmaximal, complemented
21#23777139C214yesmaximal, complemented
22#23777093C212yesmaximal, complemented
23C79×#3510C211yesmaximal, characteristic, complemented
24C79⋊#564C2212yescomplemented
25C79⋊#564C2212yescomplemented
26#19099317C2212yescomplemented
27#19099317C2212yescomplemented
28#19099316C2214yescomplemented
29#19099316C2214yescomplemented
30#19099315C2214yescomplemented
31#19099315C2214yescomplemented
32#19099315C2214yescomplemented
33#19099314C2214yescomplemented
34#19099314C2214yescomplemented
35#19099313C2212yes—
36#19099313C2211yescharacteristic
37#19099313C2212yes—
38#19099313C2211yescharacteristic, complemented
39#19099313C2214yescomplemented
40#19099313C2212yescomplemented
41#19099313C2211yescharacteristic, complemented
42#19099313C2212yescomplemented
43#19099313C2214yescomplemented
44#19099313C2212yescomplemented
45#19099312C2212yescomplemented
46#19099310C2214yescomplemented
47#19099308C2214yescomplemented
48#19099307C2212yes—
49#19099307C2214yescomplemented
50#19099305C2211yescharacteristic
51#19099300C2212yescomplemented
52#19099299C2212yescomplemented
53#19099293C2212yescomplemented
54#19099291C2214yescomplemented
55#19099291C2214yescomplemented
56#19099291C2212yescomplemented
57#19099289C2214yescomplemented
58#19099285C2214yescomplemented
59#19099285C2214yescomplemented
60#19099284C2214yescomplemented
61#19099282C2214yescomplemented
62#19099282C2214yescomplemented
63#19099281C2214yescomplemented
64#19099280C2214yescomplemented
65#19099280C2214yescomplemented
66#19099275C2212yes—
67#19099275C2212yescomplemented
68#19099273C2212yescomplemented
69#19099272C2214yescomplemented
70#19099271C2214yescomplemented
71#19099271C2214yescomplemented
72#19099270C2214yescomplemented
73#19099270C2212yescomplemented
74#19099267C2214yescomplemented
75#19099267C2214yescomplemented
76#19099262C2214yescomplemented
77#19099259C2212yes—
78#19099259C2212yescomplemented
79#19099258C2214yescomplemented
80#19099256C2214yescomplemented
81#19099255C2214yescomplemented
82#19099254C2214yescomplemented
83#19099253C2214yes—
84#19099253C2214yescomplemented
85#19099253C2214yescomplemented
86#19099253C2212yescomplemented
87#19099253C2212yescomplemented
88#19099252C2214yescomplemented
89#19099252C2214yescomplemented
90#19099250C2214yescomplemented
91#19099250C2214yescomplemented
92#19099250C2214yescomplemented
93#19099250C2214yescomplemented
94#19099249C2214yescomplemented
95#19099249C2214yescomplemented
96#19099246C2214yescomplemented
97#19099246C2214yescomplemented
98#19099246C2214yescomplemented
99#19099246C2214yescomplemented
100#19099246C2214yescomplemented
101#19099246C2214yescomplemented
102#19099246C2214yescomplemented
103#19099244C2214yescomplemented
104#19099243C2212yes—
105#19099243C2214yescomplemented
106#19099243C2212yescomplemented
107#19099242C2214yes—
108#19099242C2214yescomplemented
109#19099239C2214yes—
110#19099239C2214yes—
111#19099239C2214yes—
112#19099238C2214yescomplemented
113#19099237C2214yescomplemented
114#19099236C2214yescomplemented
115#19099217C2212yes—
116#19099212C2214yescomplemented
117#19099211C2214yes—
118#19099203C2214yes—
119#19099200C2214yescomplemented
120#19099192C2214yescomplemented
121#19099192C2214yescomplemented
122#19099191C2214yescomplemented
123#19099190C2214yescomplemented
124#19099190C2214yescomplemented
125#19099189C2212yescomplemented
126#19099188C2214yescomplemented
127#19099183C2214yescomplemented
128#19099182C2214yescomplemented
129#19099181C2214yescomplemented
130#19099181C2214yescomplemented
131#19099179C2214yescomplemented
132#19099178C2214yescomplemented
133#19099177C2214yes—
134#19099177C2214yes—
135#19099177C2214yescomplemented
136#19099177C2214yescomplemented
137#19099177C2214yescomplemented
138#19099175C2214yescomplemented
139#19099174C2214yescomplemented
140#19099173C2214yescomplemented
141#19099171C2214yescomplemented
142#19099171C2214yescomplemented
143#19099171C2214yescomplemented
144#19099171C2214yescomplemented
145#19099171C2214yescomplemented
146#19099170C2214yescomplemented
147#19099170C2214yescomplemented
148#19099170C2214yescomplemented
149#19099170C2214yescomplemented
150#19099170C2214yescomplemented
151#19099167C2214yes—
152#19099162C2214yes—
153#19099159C2214yescomplemented
154#19099158C2214yes—
155#19099157C2214yescomplemented
156#19099157C2214yescomplemented
157#19099157C2214yescomplemented
158#19099156C2214yescomplemented
159#19099155C2214yes—
160#19099155C2214yescomplemented
161#19099155C2214yescomplemented
162#19099155C2214yescomplemented
163#19099154C2214yescomplemented
164#19099149C2214yescomplemented
165#19099148C2214yes—
166#19099147C2214yes—
167#19099146C2214yescomplemented
168#19099145C2214yes—
169#19099139C2212yes—
170#19099137C2212yes—
171#19099135C2214yescomplemented
172#19099122C2212yes—
173#19099120C2212yescomplemented
174#19099117C2214yescomplemented
175#19099117C2214yescomplemented
176#19099116C2212yescomplemented
177#19099116C2214yescomplemented
178#19099115C2214yescomplemented
179C2×#14579159C2212yescomplemented
180#19099097C2212yes—
181#19099097C2212yescomplemented
182#19099097C2212yescomplemented
183#19099095C2214yescomplemented
184#19099093C2214yes—
185#19099093C2214yescomplemented
186#19099093C2214yescomplemented
187#19099092C2214yescomplemented
188#19099091C2214yescomplemented
189#19099090C2214yescomplemented
190#19099090C2214yescomplemented
191C2×#14579154C2214yescomplemented
192#126×D79C2214yescomplemented
193C2×#14579153C2212yescomplemented
194C2×#14579153C2212yescomplemented
195#19099069C2214yes—
196C2×#14579145C2212yescomplemented
197C2×#14579142C2212yes—
198C2×#14579138C2214yescomplemented
199#19099042C2214yescomplemented
200#19099040C2212yescomplemented
201#19099036C2212yescomplemented
202#19099031C2212yes—
203C2×#14579117C2212yescomplemented
204#559×C79C2214yescomplemented
205#556×C79C2214yescomplemented
206#551×C79C2214yescomplemented
207#551×C79C2214yescomplemented
208#542×C79C2212yes—
209#542×C79C2212yescomplemented
210#536×C79C2211yescharacteristic, complemented
211#535×C79C2211yescharacteristic
212#533×C79C2211yescharacteristic, complemented
213#529×C79C2212yes—
214#529×C79C2212yescomplemented
215C2×#124×C79C2211yescharacteristic
216#519×C79C2211yescharacteristic, complemented
217#518×C79C2211yescharacteristic
218C4×#41×C79C2211yescharacteristic, complemented
219C2×#11929624C2312yes—
220C2×#11929623C2314yes—
221C22×Dic158C2312yes—
222C22×C22⋊D79C2312yes—
223C23×Dic79C2312yes—
224#14579161C2314yes—
225#14579161C2312yes—
226#14579161C2312yes—
227#14579160C2314yes—
228#14579160C2314yes—
229#14579160C2314yes—
230#14579160C2314yes—
231#14579160C2314yes—
232#14579160C2314yes—
233#14579160C2314yes—
234#14579159C2312yes—
235#14579159C2312yes—
236#14579159C2312yes—
237#14579159C2312yes—
238#14579159C2314yes—
239#14579159C2314yes—
240#14579159C2314yes—
241#14579159C2314yes—
242#14579159C2314yes—
243#14579159C2312yes—
244#14579159C2312yes—
245#14579156C2314yes—
246#14579156C2314yes—
247#14579156C2314yes—
248#14579156C2314yes—
249#14579156C2314yes—
250#14579156C2314yes—
251#14579156C2314yes—
252#14579156C2314yes—
253#14579156C2314yes—
254#14579156C2314yes—
255#14579156C2314yes—
256#14579155C2314yes—
257#14579155C2314yes—
258#14579155C2314yes—
259#14579155C2314yes—
260#14579155C2314yes—
261#14579155C2314yes—
262#14579155C2314yes—
263#14579154C2314yes—
264#14579154C2314yes—
265#14579154C2314yes—
266#14579154C2314yes—
267#14579154C2314yes—
268#14579154C2314yes—
269#14579154C2314yes—
270#14579154C2314yes—
271#14579154C2314yes—
272#14579154C2314yes—
273#14579154C2314yes—
274#14579154C2314yes—
275#14579154C2314yes—
276#14579154C2314yes—
277#14579154C2314yes—
278#14579154C2314yes—
279#14579154C2314yes—
280#14579154C2314yes—
281#14579154C2314yes—
282#14579154C2314yes—
283#14579154C2314yes—
284#14579154C2314yes—
285#14579154C2314yes—
286#14579153C2314yes—
287#14579153C2314yes—
288#14579153C2314yes—
289#14579153C2314yes—
290#14579153C2314yes—
291#14579153C2312yes—
292#14579153C2312yes—
293#14579153C2314yes—
294#14579153C2314yes—
295#14579153C2312yes—
296#14579153C2312yes—
297#14579153C2314yes—
298#14579153C2312yes—
299#14579153C2312yes—
300#14579153C2312yes—
301#14579152C2314yes—
302#14579152C2314yes—
303#14579152C2314yes—
304#14579152C2314yes—
305#14579152C2314yes—
306#14579152C2314yes—
307#14579152C2314yes—
308#14579152C2314yes—
309#14579151C2314yes—
310#14579151C2314yes—
311#14579151C2314yes—
312#14579151C2314yes—
313#14579151C2314yes—
314#14579151C2314yes—
315#14579151C2314yes—
316#14579151C2314yes—
317#14579151C2314yes—
318#14579151C2314yes—
319#14579151C2314yes—
320#14579151C2314yes—
321#14579151C2314yes—
322#14579151C2314yes—
323#14579151C2314yes—
324#14579151C2314yes—
325#14579151C2314yes—
326#14579151C2314yes—
327#14579151C2314yes—
328#14579151C2314yes—
329#14579151C2314yes—
330#14579150C2312yes—
331#14579150C2312yes—
332#14579149C2314yes—
333#14579149C2312yes—
334#14579148C2314yes—
335#14579148C2314yes—
336#14579147C2314yes—
337#14579147C2314yes—
338#14579147C2314yes—
339#14579147C2314yes—
340#14579147C2314yes—
341#14579147C2314yes—
342#14579147C2314yes—
343#14579147C2314yes—
344#14579147C2314yes—
345#14579146C2314yes—
346#14579146C2314yes—
347#14579146C2314yes—
348#14579145C2314yes—
349#14579145C2314yes—
350#14579145C2314yes—
351#14579145C2314yes—
352#14579145C2314yes—
353#14579145C2314yes—
354#14579145C2314yes—
355#14579144C2314yes—
356#14579144C2314yes—
357#14579144C2314yes—
358#14579144C2314yes—
359#14579144C2314yes—
360#14579144C2314yes—
361#14579143C2314yes—
362#14579143C2314yes—
363#14579143C2314yes—
364#14579143C2314yes—
365#14579143C2314yes—
366#14579143C2314yes—
367#14579143C2314yes—
368#14579143C2314yes—
369#14579143C2314yes—
370#14579142C2314yes—
371#14579142C2314yes—
372#14579142C2312yes—
373#14579142C2312yes—
374#14579142C2314yes—
375#14579142C2314yes—
376#14579142C2314yes—
377#14579142C2312yes—
378#14579142C2314yes—
379#14579142C2314yes—
380#14579142C2312yes—
381#14579142C2312yes—
382#14579142C2312yes—
383#14579141C2314yes—
384#14579141C2314yes—
385#14579141C2314yes—
386#14579141C2314yes—
387#14579141C2314yes—
388#14579140C2314yes—
389#14579140C2314yes—
390#14579140C2314yes—
391#14579140C2314yes—
392#14579140C2314yes—
393#14579140C2314yes—
394#14579140C2312yes—
395#14579140C2312yes—
396#14579140C2312yes—
397#14579139C2314yes—
398#14579139C2314yes—
399#14579139C2314yes—
400#14579139C2314yes—
401#14579139C2314yes—
402#14579139C2314yes—
403#14579139C2314yes—
404#14579139C2314yes—
405#14579139C2314yes—
406#14579138C2314yes—
407#14579138C2314yes—
408#14579138C2314yes—
409#14579138C2314yes—
410#14579138C2314yes—
411#14579138C2314yes—
412#14579138C2314yes—
413#14579138C2314yes—
414#14579138C2314yes—
415#14579138C2314yes—
416#14579138C2314yes—
417#14579138C2314yes—
418#14579138C2314yes—
419#14579138C2314yes—
420#14579138C2314yes—
421#14579138C2314yes—
422#14579138C2314yes—
423#14579138C2314yes—
424#14579138C2314yes—
425#14579138C2314yes—
426#14579138C2314yes—
427#14579138C2314yes—
428#14579138C2314yes—
429#14579138C2314yes—
430#14579137C2314yes—
431#14579137C2314yes—
432#14579137C2314yes—
433#14579137C2314yes—
434#14579137C2314yes—
435#14579137C2314yes—
436#14579137C2314yes—
437#14579135C2312yes—
438#14579135C2312yes—
439#14579135C2312yes—
440#14579134C2314yes—
441#14579134C2314yes—
442#14579134C2314yes—
443#14579133C2314yes—
444#14579133C2314yes—
445#14579133C2314yes—
446#14579133C2314yes—
447#14579133C2314yes—
448#14579133C2314yes—
449#14579133C2314yes—
450#14579133C2314yes—
451#14579132C2314yes—
452#14579132C2314yes—
453#14579131C2314yes—
454#14579130C2314yes—
455#14579129C2312yes—
456#14579129C2314yes—
457#14579129C2312yes—
458Q8×Dic79C2314yes—
459Q8×Dic79C2314yes—
460C4×Dic158C2314yes—
461C4×Dic158C2312yes—
462C4×Dic158C2314yes—
463C4×Dic158C2314yes—
464C4×Dic158C2314yes—
465C4×Dic158C2314yes—
466C4×Dic158C2314yes—
467C4×Dic158C2314yes—
468C4×Dic158C2314yes—
469C4×Dic158C2312yes—
470C4×Dic158C2314yes—
471C4×Dic158C2314yes—
472C4×Dic158C2312yes—
473#14579126C2314yes—
474#14579126C2314yes—
475#14579126C2314yes—
476#14579126C2314yes—
477#14579126C2314yes—
478#14579126C2314yes—
479C4×D316C2312yes—
480C4×D316C2312yes—
481C4×D316C2312yes—
482D4×Dic79C2314yes—
483D4×Dic79C2314yes—
484D4×Dic79C2314yes—
485D4×Dic79C2314yes—
486D4×Dic79C2314yes—
487#14579123C2314yes—
488C4×C22⋊D79C2314yes—
489C4×C22⋊D79C2314yes—
490C4×C22⋊D79C2314yes—
491C4×C22⋊D79C2314yes—
492C4×C22⋊D79C2314yes—
493C4×C22⋊D79C2314yes—
494C4×C22⋊D79C2314yes—
495(C22⋊D79)⋊C4C2314yes—
496(C22⋊D79)⋊C4C2314yes—
497(C22⋊D79)⋊C4C2314yes—
498(C22⋊D79)⋊C4C2314yes—
499(C22⋊D79)⋊C4C2314yes—
500(C22⋊D79)⋊C4C2314yes—
501(C22⋊D79)⋊C4C2314yes—
502(C22⋊D79)⋊C4C2314yes—
503(C22⋊D79)⋊C4C2314yes—
504(C22⋊D79)⋊C4C2314yes—
505#14579120C2312yes—
506#14579120C2314yes—
507#14579120C2314yes—
508#14579120C2312yes—
509#14579120C2312yes—
510#14579119C2314yes—
511#14579119C2314yes—
512#14579118C2314yes—
513#14579118C2314yes—
514#14579118C2314yes—
515#14579118C2314yes—
516#14579118C2314yes—
517#14579118C2314yes—
518#14579118C2314yes—
519#14579118C2314yes—
520#14579117C2314yes—
521#14579117C2314yes—
522#14579117C2314yes—
523#14579117C2314yes—
524#14579117C2314yes—
525#14579117C2314yes—
526#14579117C2314yes—
527#14579117C2314yes—
528#14579117C2314yes—
529#14579117C2314yes—
530#14579117C2314yes—
531C2×C4⋊Dic79C2312yes—
532C2×C4⋊Dic79C2312yes—
533C2×C4⋊Dic79C2314yes—
534C2×C4⋊Dic79C2312yes—
535C2×C4⋊Dic79C2312yes—
536C2×Dic79⋊C4C2314yes—
537C2×Dic79⋊C4C2314yes—
538C2×Dic79⋊C4C2314yes—
539C2×Dic79⋊C4C2314yes—
540C2×Dic79⋊C4C2314yes—
541C2×Dic79⋊C4C2314yes—
542C4⋊C4×D79C2314yes—
543C4⋊C4×D79C2314yes—
544C4⋊C4×D79C2314yes—
545C2×C22⋊Dic79C2312yes—
546C2×C22⋊Dic79C2312yes—
547C2×C22⋊Dic79C2314yes—
548C2×(C2×D79)⋊C4C2314yes—
549C22⋊C4×D79C2314yes—
550C22⋊C4×D79C2314yes—
551C22⋊C4×D79C2314yes—
552C2×C4×Dic79C2314yes—
553C2×C4×Dic79C2312yes—
554C42×D79C2314yes—
555C2×#41×C79C2311yescharacteristic
556C22×Q8×C79C2311yescharacteristic
557C22×D4×C79C2311yescharacteristic
558C4⋊Q8×C79C2312yes—
559C4⋊Q8×C79C2312yes—
560#127×C79C2312yes—
561#126×C79C2314yes—
562#126×C79C2314yes—
563#126×C79C2314yes—
564#126×C79C2314yes—
565#125×C79C2312yes—
566#124×C79C2314yes—
567#124×C79C2312yes—
568#124×C79C2312yes—
569#124×C79C2314yes—
570#124×C79C2314yes—
571#124×C79C2311yescharacteristic
572#124×C79C2311yescharacteristic
573#124×C79C2311yescharacteristic
574#124×C79C2311yescharacteristic
575#123×C79C2314yes—
576#123×C79C2314yes—
577#123×C79C2314yes—
578#123×C79C2314yes—
579#123×C79C2314yes—
580C22⋊Q8×C79C2314yes—
581C22⋊Q8×C79C2314yes—
582C22⋊Q8×C79C2314yes—
583C22⋊Q8×C79C2312yes—
584C22⋊Q8×C79C2312yes—
585#121×C79C2312yes—
586#121×C79C2312yes—
587#120×C79C2314yes—
588C4×Q8×C79C2312yes—
589C4×Q8×C79C2312yes—
590C4×Q8×C79C2314yes—
591C4×Q8×C79C2314yes—
592C4×Q8×C79C2312yes—
593C4×D4×C79C2314yes—
594C4×D4×C79C2314yes—
595C4×D4×C79C2312yes—
596C4×D4×C79C2312yes—
597C4×D4×C79C2312yes—
598C4×D4×C79C2312yes—
599C4×D4×C79C2312yes—
600C4×D4×C79C2314yes—
601#117×C79C2312yes—
602#117×C79C2314yes—
603#117×C79C2311yescharacteristic
604#117×C79C2312yes—
605#117×C79C2311yescharacteristic
606#117×C79C2311yescharacteristic
607#117×C79C2312yes—
608#117×C79C2314yes—
609C2×C22⋊C4×C79C2312yes—
610C2×C22⋊C4×C79C2314yes—
611C2×C22⋊C4×C79C2312yes—
612C2×C42×C79C2311yescharacteristic
613C2×C42×C79C2312yes—
614C23×D79C2412yes—
615#11929624—44no—
616#11929623—48no—
617C2×Dic158—44no—
618C2×Dic158C2414yes—
619C2×Dic158C2412yes—
620C2×Dic158C2412yes—
621C2×Dic158C2414yes—
622C2×Dic158C2412yes—
623C2×Dic158C2414yes—
624C2×Dic158C2414yes—
625C2×Dic158C2414yes—
626C2×Dic158C2412yes—
627C2×D316C2412yes—
628C2×D316C2412yes—
629C2×C22⋊D79—44no—
630C2×C22⋊D79C2414yes—
631C2×C22⋊D79C2414yes—
632C2×C22⋊D79C2414yes—
633C2×C22⋊D79C2414yes—
634C2×C22⋊D79C2414yes—
635C2×C22⋊D79C2414yes—
636C22×Dic79—44no—
637C22×Dic79C2414yes—
638C22×Dic79C2414yes—
639C22×Dic79C2412yes—
640C22×Dic79C2414yes—
641C22×Dic79C2414yes—
642C22×Dic79C2414yes—
643C22×Dic79C2414yes—
644C22×Dic79C2412yes—
645C22×Dic79C2412yes—
646C2×C4×D79C2414yes—
647C2×C4×D79C2414yes—
648C2×C4×D79C2414yes—
649C2×C4×D79C2414yes—
650C2×C4×D79C2414yes—
651C2×C4×D79C2414yes—
652C4⋊Dic79C2414yes—
653C4⋊Dic79C2414yes—
654C4⋊Dic79C2414yes—
655C4⋊Dic79C2412yes—
656C4⋊Dic79C2412yes—
657C4⋊Dic79C2414yes—
658C4⋊Dic79C2414yes—
659C4⋊Dic79C2412yes—
660C4⋊Dic79C2412yes—
661C4⋊Dic79C2412yes—
662C4⋊Dic79C2412yes—
663C4⋊Dic79C2414yes—
664C4⋊Dic79C2414yes—
665C4⋊Dic79C2414yes—
666C4⋊Dic79C2414yes—
667C4⋊Dic79C2414yes—
668C4⋊Dic79C2414yes—
669C4⋊Dic79C2414yes—
670C4⋊Dic79C2414yes—
671Dic79⋊C4C2414yes—
672Dic79⋊C4C2414yes—
673Dic79⋊C4C2414yes—
674Dic79⋊C4C2414yes—
675Dic79⋊C4C2414yes—
676Dic79⋊C4C2414yes—
677Dic79⋊C4C2414yes—
678Dic79⋊C4C2414yes—
679Dic79⋊C4C2414yes—
680Dic79⋊C4C2414yes—
681Dic79⋊C4C2414yes—
682Dic79⋊C4C2414yes—
683Dic79⋊C4C2414yes—
684Dic79⋊C4C2414yes—
685Dic79⋊C4C2414yes—
686Dic79⋊C4C2414yes—
687Dic79⋊C4C2414yes—
688Dic79⋊C4C2414yes—
689Dic79⋊C4C2414yes—
690Dic79⋊C4C2414yes—
691Dic79⋊C4C2414yes—
692Dic79⋊C4C2414yes—
693Dic79⋊C4C2414yes—
694Dic79⋊C4C2414yes—
695Dic79⋊C4C2414yes—
696Dic79⋊C4C2414yes—
697Dic79⋊C4C2414yes—
698Dic79⋊C4C2414yes—
699Dic79⋊C4C2414yes—
700Dic79⋊C4C2414yes—
701Dic79⋊C4C2414yes—
702Dic79⋊C4C2414yes—
703Dic79⋊C4C2414yes—
704Dic79⋊C4C2414yes—
705Dic79⋊C4C2414yes—
706Dic79⋊C4C2414yes—
707C22⋊Dic79C2414yes—
708C22⋊Dic79C2414yes—
709C22⋊Dic79C2414yes—
710C22⋊Dic79C2414yes—
711C22⋊Dic79C2412yes—
712C22⋊Dic79C2412yes—
713C22⋊Dic79C2414yes—
714C22⋊Dic79C2414yes—
715C22⋊Dic79C2414yes—
716C22⋊Dic79C2412yes—
717C22⋊Dic79C2412yes—
718C22⋊Dic79C2414yes—
719C22⋊Dic79C2414yes—
720C22⋊Dic79C2414yes—
721C22⋊Dic79C2414yes—
722C22⋊Dic79C2414yes—
723(C2×D79)⋊C4C2414yes—
724(C2×D79)⋊C4C2414yes—
725(C2×D79)⋊C4C2414yes—
726(C2×D79)⋊C4C2414yes—
727(C2×D79)⋊C4C2414yes—
728(C2×D79)⋊C4C2414yes—
729(C2×D79)⋊C4C2414yes—
730(C2×D79)⋊C4C2414yes—
731(C2×D79)⋊C4C2414yes—
732(C2×D79)⋊C4C2414yes—
733(C2×D79)⋊C4C2414yes—
734(C2×D79)⋊C4C2414yes—
735(C2×D79)⋊C4C2414yes—
736(C2×D79)⋊C4C2414yes—
737(C2×D79)⋊C4C2414yes—
738(C2×D79)⋊C4C2414yes—
739C4×Dic79C2412yes—
740C4×Dic79C2414yes—
741C4×Dic79C2414yes—
742C4×Dic79C2414yes—
743C4×Dic79C2414yes—
744C4×Dic79C2414yes—
745C4×Dic79C2414yes—
746C4×Dic79C2414yes—
747C4×Dic79C2412yes—
748C4×Dic79C2414yes—
749C4×Dic79C2414yes—
750C4×Dic79C2414yes—
751C4×Dic79C2412yes—
752C4×Dic79C2412yes—
753C4×Dic79C2414yes—
754C4×Dic79C2414yes—
755C24×C79C2412yes—
756#41×C79—42no—
757C2×Q8×C79—42no—
758C2×Q8×C79C2411yescharacteristic
759C2×Q8×C79C2411yescharacteristic
760C2×Q8×C79C2412yes—
761C2×Q8×C79C2411yescharacteristic
762C2×Q8×C79C2414yes—
763C2×D4×C79—42no—
764C2×D4×C79C2412yes—
765C2×D4×C79C2411yescharacteristic
766C2×D4×C79C2411yescharacteristic
767C2×D4×C79C2412yes—
768C2×D4×C79C2411yescharacteristic
769C2×D4×C79C2414yes—
770C2×D4×C79C2414yes—
771C22×C4×C79C2412yes—
772C22×C4×C79C2411yescharacteristic
773C22×C4×C79C2412yes—
774C22×C4×C79C2412yes—
775C22×C4×C79C2412yes—
776C22×C4×C79C2412yes—
777C22×C4×C79C2414yes—
778C22×C4×C79C2414yes—
779C4⋊C4×C79C2414yes—
780C4⋊C4×C79C2412yes—
781C4⋊C4×C79C2412yes—
782C4⋊C4×C79C2412yes—
783C4⋊C4×C79C2412yes—
784C4⋊C4×C79C2412yes—
785C4⋊C4×C79C2414yes—
786C4⋊C4×C79C2414yes—
787C4⋊C4×C79C2414yes—
788C4⋊C4×C79C2414yes—
789C4⋊C4×C79C2414yes—
790C4⋊C4×C79C2414yes—
791C22⋊C4×C79C2411yescharacteristic
792C22⋊C4×C79C2411yescharacteristic
793C22⋊C4×C79C2412yes—
794C22⋊C4×C79C2414yes—
795C22⋊C4×C79C2414yes—
796C22⋊C4×C79C2414yes—
797C22⋊C4×C79C2414yes—
798C22⋊C4×C79C2414yes—
799C22⋊C4×C79C2414yes—
800C22⋊C4×C79C2412yes—
801C22⋊C4×C79C2412yes—
802C22⋊C4×C79C2412yes—
803C22⋊C4×C79C2414yes—
804C22⋊C4×C79C2414yes—
805C22⋊C4×C79C2414yes—
806C22⋊C4×C79C2414yes—
807C42×C79C2411yescharacteristic
808C42×C79C2412yes—
809C42×C79C2412yes—
810C42×C79C2412yes—
811C42×C79C2411yescharacteristic
812C42×C79C2412yes—
813C42×C79C2414yes—
814C42×C79C2414yes—
815C42×C79C2412yes—
816C42×C79C2412yes—
817C23×C79—24no—
818C23×C79—44no—
819C23×C79C2512yes—
820C23×C79C2512yes—
821C23×C79C2512yes—
822C23×C79C2511yescharacteristic
823C22×D79—42no—
824C22×D79—44no—
825C22×D79C2514yes—
826Q8×C79—41no—
827Q8×C79—41no—
828Q8×C79—42no—
829Q8×C79—44no—
830Q8×C79—41no—
831D4×C79—24no—
832D4×C79—41no—
833D4×C79—41no—
834D4×C79—42no—
835D4×C79—44no—
836D4×C79—44no—
837D4×C79—41no—
838C2×C4×C79—24no—
839C2×C4×C79—22no—
840C2×C4×C79—42no—
841C2×C4×C79—44no—
842C2×C4×C79—42no—
843C2×C4×C79—42no—
844C2×C4×C79—44no—
845C2×C4×C79—42no—
846C2×C4×C79C2512yes—
847C2×C4×C79C2512yes—
848C2×C4×C79C2514yes—
849C2×C4×C79C2514yes—
850C2×C4×C79C2512yes—
851C2×C4×C79C2512yes—
852C2×C4×C79C2512yes—
853C2×C4×C79C2511yescharacteristic
854C2×C4×C79C2511yescharacteristic
855C2×C4×C79C2512yes—
856C2×C4×C79C2512yes—
857C22⋊D79—28no—
858C22⋊D79—44no—
859C22⋊D79—44no—
860C22⋊D79—44no—
861C22⋊D79—44no—
862C22⋊D79—44no—
863C2×Dic79—28no—
864C2×Dic79—42no—
865C2×Dic79—44no—
866C2×Dic79—42no—
867C2×Dic79—44no—
868C2×Dic79—44no—
869C2×Dic79—44no—
870C2×Dic79—42no—
871C2×Dic79—44no—
872C2×Dic79C2514yes—
873C2×Dic79C2514yes—
874C2×Dic79C2514yes—
875C2×Dic79C2514yes—
876C2×Dic79C2514yes—
877C2×Dic79C2514yes—
878C2×Dic79C2514yes—
879D316—42no—
880D316—42no—
881C4×D79—44no—
882C4×D79—44no—
883C4×D79—44no—
884C4×D79—44no—
885C4×D79—44no—
886C4×D79—44no—
887Dic158—42no—
888Dic158—44no—
889Dic158—42no—
890Dic158—42no—
891Dic158—44no—
892Dic158—44no—
893Dic158—44no—
894Dic158—44no—
895Dic158—42no—
896C22×C79—22no—
897C22×C79—22no—
898C22×C79—22no—
899C22×C79—22no—
900C22×C79—22no—
901C22×C79—24no—
902C22×C79—24no—
903C22×C79—22no—
904C22×C79—84no—
905C22×C79#58512yes—
906C22×C79C2611yescharacteristic
907C2×D79—24no—
908C2×D79—24no—
909C2×D79—24no—
910C2×D79—162no—
911C4×C79—21no—
912C4×C79—21no—
913C4×C79—22no—
914C4×C79—22no—
915C4×C79—22no—
916C4×C79—22no—
917C4×C79—22no—
918C4×C79—22no—
919C4×C79—24no—
920C4×C79—22no—
921C4×C79—24no—
922Dic79—24no—
923Dic79—24no—
924Dic79—24no—
925Dic79—24no—
926Dic79—24no—
927Dic79—24no—
928Dic79—24no—
929#63064—791nomaximal, Sylow
930C2×C79—22no—
931C2×C79—42no—
932C2×C79—42no—
933C2×C79—42no—
934C2×C79C2×#58511yescharacteristic
935C2×C792−1+612yes—
936D79—44no—
937#3568—792no—
938#3566—794no—
939#3565—794no—
940#3564—794no—
941#3564—794no—
942#3564—794no—
943#3563—792no—
944#3563—792no—
945#3557—794no—
946#3555—794no—
947#3553—792no—
948#3545—791no—
949#3544—792no—
950#3535—794no—
951#3533—792no—
952#3531—792no—
953C2×#563—791no—
954#3521—794no—
955#3515—792no—
956#3510D7911yescharacteristic, complemented
957#3509—792no—
958#3495—794no—
959#3491—792no—
960C79#6306411yescharacteristic, complemented, Sylow
961#564—792no—
962#564—792no—
963#563—792no—
964#563—794no—
965#563—794no—
966#563—794no—
967#563—792no—
968#563—792no—
969#563—792no—
970#563—792no—
971#563—791no—
972#563—791no—
973#563—791no—
974#563—794no—
975#563—794no—
976#563—792no—
977#563—792no—
978#563—792no—
979#563—794no—
980#563—794no—
981#563—794no—
982#563—794no—
983#562—792no—
984#562—794no—
985#562—794no—
986#562—794no—
987H(3,𝔽4)—791no—
988#560—792no—
989#559—792no—
990#559C2×D7914yescomplemented
991Q82—792no—
992#557—794no—
993#557—794no—
994#557—794no—
995#557—792no—
996#556—794no—
997#556—794no—
998#556—794no—
999#556—794no—
1000#556—794no—
1001#556—794no—
1002#556—794no—
1003#556—794no—
1004#556C2×D7914yescomplemented
1005#555—792no—
1006#555—792no—
1007#554—794no—
1008#554—794no—
1009#554—794no—
1010#554—794no—
1011#554—792no—
1012#554—792no—
1013#554—794no—
1014#554—794no—
1015#553—794no—
1016#553—794no—
1017#553—792no—
1018#553—792no—
1019#553—794no—
1020#552—794no—
1021#552—794no—
1022#552—794no—
1023#552—794no—
1024#552—794no—
1025#552—794no—
1026#552—794no—
1027#552—794no—
1028#552—794no—
1029#552—794no—
1030#552—792no—
1031#552—792no—
1032#552—794no—
1033#552—794no—
1034#552—794no—
1035#552—794no—
1036#552—794no—
1037#552—794no—
1038#552—794no—
1039#552—794no—
1040#552—794no—
1041#552—794no—
1042#551—794no—
1043#551—792no—
1044#551—794no—
1045#551—792no—
1046#551—794no—
1047#551—794no—
1048#551—794no—
1049#551—794no—
1050#551—794no—
1051#551—794no—
1052#551—794no—
1053#551—794no—
1054#551C2×D7914yescomplemented
1055#551C2×D7914yescomplemented
1056#547—794no—
1057#547—794no—
1058#547—792no—
1059#546—794no—
1060#546—794no—
1061#544—794no—
1062#544—794no—
1063#544—794no—
1064#544—794no—
1065#544—794no—
1066#543—794no—
1067#543—792no—
1068#542—794no—
1069#542—794no—
1070#542—794no—
1071#542—794no—
1072#542—794no—
1073#542—794no—
1074#542—794no—
1075#542—794no—
1076#542—794no—
1077#542—794no—
1078#542—794no—
1079#542C2×D7912yes—
1080#542C2×D7912yescomplemented
1081#541—794no—
1082#541—794no—
1083#541—794no—
1084#541—794no—
1085#541—794no—
1086#541—794no—
1087#541—794no—
1088#541—794no—
1089#541—794no—
1090#541—794no—
1091#541—794no—
1092#541—794no—
1093#541—794no—
1094#540—794no—
1095#539—794no—
1096#539—794no—
1097#539—794no—
1098#539—794no—
1099#539—794no—
1100#539—794no—
1101#539—794no—
1102#539—794no—
1103#539—794no—
1104#539—794no—
1105#539—794no—
1106#539—794no—
1107#538—794no—
1108#538—794no—
1109#538—794no—
1110#538—794no—
1111#538—794no—
1112#536—792no—
1113#536—794no—
1114#536—792no—
1115#536C2×D7911yescharacteristic, complemented
1116#535C2×D7911yescharacteristic
1117#534—792no—
1118#533—794no—
1119#533—794no—
1120#533—794no—
1121#533—794no—
1122#533—792no—
1123#533—792no—
1124#533C2×D7911yescharacteristic, complemented
1125C2×C4⋊Q8—792no—
1126#529—794no—
1127#529—794no—
1128#529—794no—
1129#529—794no—
1130#529—794no—
1131#529—794no—
1132#529—794no—
1133#529—794no—
1134#529—792no—
1135#529—792no—
1136#529—792no—
1137#529C2×D7912yes—
1138#529C2×D7912yescomplemented
1139C2×#126—794no—
1140C2×#126—794no—
1141C2×#125—792no—
1142C2×#125—792no—
1143C2×#124C2×D7911yescharacteristic
1144#525—794no—
1145C2×#123—792no—
1146C2×#123—792no—
1147C2×C22⋊Q8—794no—
1148#520—794no—
1149#519—792no—
1150#519C2×D7911yescharacteristic, complemented
1151#518—792no—
1152#518C2×D7911yescharacteristic
1153C4×#41—792no—
1154C4×#41C2×D7911yescharacteristic, complemented
1155C2×#117—792no—
1156C2×#41—794no—
1157C2×#41—792no—
1158C2×#41C22×D7911yescharacteristic
1159C22×Q8—792no—
1160C22×Q8C22×D7911yescharacteristic
1161C22×D4—792no—
1162C22×D4C22×D7911yescharacteristic
1163C23×C4—792no—
1164C4⋊Q8—792no—
1165C4⋊Q8—792no—
1166C4⋊Q8—792no—
1167C4⋊Q8—792no—
1168C4⋊Q8—794no—
1169C4⋊Q8—794no—
1170C4⋊Q8—794no—
1171C4⋊Q8—792no—
1172C4⋊Q8—792no—
1173C4⋊Q8—794no—
1174C4⋊Q8—794no—
1175C4⋊Q8—794no—
1176C4⋊Q8—794no—
1177C4⋊Q8—794no—
1178C4⋊Q8—794no—
1179C4⋊Q8—794no—
1180C4⋊Q8—794no—
1181C4⋊Q8—794no—
1182C4⋊Q8—792no—
1183C4⋊Q8—792no—
1184C4⋊Q8—794no—
1185C4⋊Q8C22×D7912yes—
1186C4⋊Q8C22×D7912yes—
1187#127C22×D7912yes—
1188#126—794no—
1189#126—794no—
1190#126—794no—
1191#126—794no—
1192#126—794no—
1193#126—794no—
1194#126—794no—
1195#126—794no—
1196#126—794no—
1197#126—794no—
1198#126—794no—
1199#126—794no—
1200#126—794no—
1201#126—794no—
1202#126—794no—
1203#126—794no—
1204#126—794no—
1205#126—794no—
1206#126—794no—
1207#126—794no—
1208#126—794no—
1209#126—794no—
1210#126—794no—
1211#126—794no—
1212#126—794no—
1213#126—794no—
1214#126—794no—
1215#126—794no—
1216#126—794no—
1217#126—794no—
1218#126—794no—
1219#126—794no—
1220#126—794no—
1221#126—794no—
1222#126—794no—
1223#126—794no—
1224#126—794no—
1225#126—794no—
1226#126—794no—
1227#126—794no—
1228#126—794no—
1229#126C22×D7914yes—
1230#126C22×D7914yes—
1231#126C22×D7914yes—
1232#126C22×D7914yes—
1233#125—794no—
1234#125—794no—
1235#125—794no—
1236#125—794no—
1237#125—794no—
1238#125—794no—
1239#125—794no—
1240#125—794no—
1241#125—794no—
1242#125—794no—
1243#125—794no—
1244#125—794no—
1245#125—794no—
1246#125—794no—
1247#125—794no—
1248#125—794no—
1249#125—794no—
1250#125—794no—
1251#125—794no—
1252#125—794no—
1253#125—794no—
1254#125—794no—
1255#125—794no—
1256#125—794no—
1257#125—794no—
1258#125—794no—
1259#125—794no—
1260#125—794no—
1261#125—794no—
1262#125—792no—
1263#125—792no—
1264#125—792no—
1265#125—794no—
1266#125—794no—
1267#125—794no—
1268#125—792no—
1269#125—792no—
1270#125—792no—
1271#125—792no—
1272#125—794no—
1273#125—794no—
1274#125—794no—
1275#125—794no—
1276#125—794no—
1277#125C22×D7912yes—
1278#124—792no—
1279#124—792no—
1280#124—794no—
1281#124—794no—
1282#124—794no—
1283#124—794no—
1284#124—794no—
1285#124—794no—
1286#124—794no—
1287#124—794no—
1288#124—794no—
1289#124—794no—
1290#124—794no—
1291#124—792no—
1292#124—794no—
1293#124C22×D7911yescharacteristic
1294#124C22×D7911yescharacteristic
1295#124C22×D7914yes—
1296#124C22×D7911yescharacteristic
1297#124C22×D7911yescharacteristic
1298#124C22×D7914yes—
1299#124C22×D7912yes—
1300#124C22×D7912yes—
1301#124C22×D7914yes—
1302#123—792no—
1303#123—792no—
1304#123—794no—
1305#123—792no—
1306#123—792no—
1307#123—794no—
1308#123—794no—
1309#123—794no—
1310#123—792no—
1311#123—792no—
1312#123—794no—
1313#123—794no—
1314#123—794no—
1315#123—794no—
1316#123—794no—
1317#123—794no—
1318#123—794no—
1319#123—794no—
1320#123—794no—
1321#123—794no—
1322#123—794no—
1323#123—794no—
1324#123—794no—
1325#123—794no—
1326#123—794no—
1327#123—794no—
1328#123—794no—
1329#123—794no—
1330#123—794no—
1331#123—794no—
1332#123—794no—
1333#123—794no—
1334#123—794no—
1335#123—794no—
1336#123—794no—
1337#123—794no—
1338#123—794no—
1339#123—794no—
1340#123C22×D7914yes—
1341#123C22×D7914yes—
1342#123C22×D7914yes—
1343#123C22×D7914yes—
1344#123C22×D7914yes—
1345C22⋊Q8—794no—
1346C22⋊Q8—794no—
1347C22⋊Q8—794no—
1348C22⋊Q8—794no—
1349C22⋊Q8—794no—
1350C22⋊Q8—794no—
1351C22⋊Q8—794no—
1352C22⋊Q8—792no—
1353C22⋊Q8—792no—
1354C22⋊Q8—792no—
1355C22⋊Q8—794no—
1356C22⋊Q8—794no—
1357C22⋊Q8—794no—
1358C22⋊Q8—794no—
1359C22⋊Q8—794no—
1360C22⋊Q8—794no—
1361C22⋊Q8—794no—
1362C22⋊Q8—794no—
1363C22⋊Q8—794no—
1364C22⋊Q8—794no—
1365C22⋊Q8—794no—
1366C22⋊Q8—794no—
1367C22⋊Q8—794no—
1368C22⋊Q8—794no—
1369C22⋊Q8—794no—
1370C22⋊Q8—794no—
1371C22⋊Q8—794no—
1372C22⋊Q8—794no—
1373C22⋊Q8—794no—
1374C22⋊Q8—794no—
1375C22⋊Q8—794no—
1376C22⋊Q8—794no—
1377C22⋊Q8—794no—
1378C22⋊Q8—794no—
1379C22⋊Q8—794no—
1380C22⋊Q8—794no—
1381C22⋊Q8—794no—
1382C22⋊Q8—794no—
1383C22⋊Q8—794no—
1384C22⋊Q8—794no—
1385C22⋊Q8—794no—
1386C22⋊Q8—794no—
1387C22⋊Q8—794no—
1388C22⋊Q8—794no—
1389C22⋊Q8—794no—
1390C22⋊Q8—794no—
1391C22⋊Q8—794no—
1392C22⋊Q8—794no—
1393C22⋊Q8—794no—
1394C22⋊Q8—794no—
1395C22⋊Q8—794no—
1396C22⋊Q8—794no—
1397C22⋊Q8—794no—
1398C22⋊Q8—794no—
1399C22⋊Q8C22×D7912yes—
1400C22⋊Q8C22×D7912yes—
1401C22⋊Q8C22×D7914yes—
1402C22⋊Q8C22×D7914yes—
1403C22⋊Q8C22×D7914yes—
1404#121—794no—
1405#121—794no—
1406#121—794no—
1407#121—794no—
1408#121—794no—
1409#121—794no—
1410#121—794no—
1411#121—794no—
1412#121—794no—
1413#121—794no—
1414#121—792no—
1415#121—792no—
1416#121—792no—
1417#121—794no—
1418#121—794no—
1419#121—794no—
1420#121C22×D7912yes—
1421#121C22×D7912yes—
1422#120—794no—
1423#120—792no—
1424#120—792no—
1425#120—794no—
1426#120—794no—
1427#120C22×D7914yes—
1428C4×Q8—794no—
1429C4×Q8—794no—
1430C4×Q8—794no—
1431C4×Q8—794no—
1432C4×Q8—794no—
1433C4×Q8—794no—
1434C4×Q8—794no—
1435C4×Q8—794no—
1436C4×Q8—794no—
1437C4×Q8—794no—
1438C4×Q8—794no—
1439C4×Q8—794no—
1440C4×Q8—794no—
1441C4×Q8—792no—
1442C4×Q8—792no—
1443C4×Q8—794no—
1444C4×Q8—792no—
1445C4×Q8—794no—
1446C4×Q8—794no—
1447C4×Q8—794no—
1448C4×Q8—794no—
1449C4×Q8C22×D7912yes—
1450C4×Q8C22×D7912yes—
1451C4×Q8C22×D7912yes—
1452C4×Q8C22×D7914yes—
1453C4×Q8C22×D7914yes—
1454C4×D4—794no—
1455C4×D4—794no—
1456C4×D4—794no—
1457C4×D4—794no—
1458C4×D4—794no—
1459C4×D4—794no—
1460C4×D4—794no—
1461C4×D4—794no—
1462C4×D4—794no—
1463C4×D4—794no—
1464C4×D4—794no—
1465C4×D4—794no—
1466C4×D4—794no—
1467C4×D4—794no—
1468C4×D4—794no—
1469C4×D4—794no—
1470C4×D4—794no—
1471C4×D4—794no—
1472C4×D4—794no—
1473C4×D4—794no—
1474C4×D4—794no—
1475C4×D4—794no—
1476C4×D4—794no—
1477C4×D4—792no—
1478C4×D4—792no—
1479C4×D4—792no—
1480C4×D4C22×D7912yes—
1481C4×D4C22×D7912yes—
1482C4×D4C22×D7912yes—
1483C4×D4C22×D7912yes—
1484C4×D4C22×D7914yes—
1485C4×D4C22×D7912yes—
1486C4×D4C22×D7914yes—
1487C4×D4C22×D7914yes—
1488#117—792no—
1489#117—794no—
1490#117—792no—
1491#117—792no—
1492#117—794no—
1493#117—794no—
1494#117—794no—
1495#117—794no—
1496#117—794no—
1497#117—794no—
1498#117—794no—
1499#117—794no—
1500#117—794no—
1501#117—794no—
1502#117—794no—
1503#117—794no—
1504#117—794no—
1505#117—794no—
1506#117—794no—
1507#117—794no—
1508#117—794no—
1509#117—794no—
1510#117—794no—
1511#117—794no—
1512#117—794no—
1513#117—794no—
1514#117C22×D7912yes—
1515#117C22×D7911yescharacteristic
1516#117C22×D7912yes—
1517#117C22×D7911yescharacteristic
1518#117C22×D7912yes—
1519#117C22×D7911yescharacteristic
1520#117C22×D7914yes—
1521#117C22×D7914yes—
1522C2×C4⋊C4—794no—
1523C2×C4⋊C4—794no—
1524C2×C4⋊C4—794no—
1525C2×C4⋊C4—792no—
1526C2×C4⋊C4—794no—
1527C2×C4⋊C4—794no—
1528C2×C4⋊C4—794no—
1529C2×C4⋊C4—792no—
1530C2×C4⋊C4—792no—
1531C2×C4⋊C4—792no—
1532C2×C4⋊C4—794no—
1533C2×C4⋊C4—794no—
1534C2×C4⋊C4—794no—
1535C2×C4⋊C4—794no—
1536C2×C22⋊C4—792no—
1537C2×C22⋊C4—792no—
1538C2×C22⋊C4—794no—
1539C2×C22⋊C4—794no—
1540C2×C22⋊C4—794no—
1541C2×C22⋊C4—794no—
1542C2×C22⋊C4—794no—
1543C2×C22⋊C4C22×D7912yes—
1544C2×C22⋊C4C22×D7912yes—
1545C2×C22⋊C4C22×D7914yes—
1546C2×C42—794no—
1547C2×C42—792no—
1548C2×C42—794no—
1549C2×C42C22×D7911yescharacteristic
1550C2×C42C22×D7912yes—
1551C24—792no—
1552C24C23×D7912yes—
1553#41—42no—
1554#41—3164no—
1555#41—3168no—
1556C2×Q8—42no—
1557C2×Q8—3164no—
1558C2×Q8—794no—
1559C2×Q8—794no—
1560C2×Q8—792no—
1561C2×Q8—794no—
1562C2×Q8—792no—
1563C2×Q8—792no—
1564C2×Q8—794no—
1565C2×Q8—794no—
1566C2×Q8—792no—
1567C2×Q8C23×D7914yes—
1568C2×Q8C23×D7911yescharacteristic
1569C2×Q8C23×D7911yescharacteristic
1570C2×Q8C23×D7912yes—
1571C2×Q8C23×D7911yescharacteristic
1572C2×D4—42no—
1573C2×D4—3164no—
1574C2×D4—794no—
1575C2×D4—794no—
1576C2×D4—794no—
1577C2×D4—794no—
1578C2×D4—794no—
1579C2×D4—794no—
1580C2×D4—792no—
1581C2×D4—792no—
1582C2×D4C23×D7912yes—
1583C2×D4C23×D7914yes—
1584C2×D4C23×D7914yes—
1585C2×D4C23×D7911yescharacteristic
1586C2×D4C23×D7912yes—
1587C2×D4C23×D7911yescharacteristic
1588C2×D4C23×D7911yescharacteristic
1589C22×C4—3164no—
1590C22×C4—792no—
1591C22×C4—794no—
1592C22×C4—794no—
1593C22×C4—794no—
1594C22×C4—794no—
1595C22×C4—794no—
1596C22×C4—792no—
1597C22×C4—792no—
1598C22×C4—794no—
1599C22×C4—794no—
1600C22×C4—794no—
1601C22×C4—794no—
1602C22×C4—794no—
1603C22×C4—794no—
1604C22×C4—794no—
1605C22×C4C23×D7912yes—
1606C22×C4C23×D7911yescharacteristic
1607C22×C4C23×D7914yes—
1608C22×C4C23×D7912yes—
1609C22×C4C23×D7912yes—
1610C22×C4C23×D7912yes—
1611C22×C4C23×D7912yes—
1612C22×C4C23×D7914yes—
1613C4⋊C4—794no—
1614C4⋊C4—794no—
1615C4⋊C4—794no—
1616C4⋊C4—794no—
1617C4⋊C4—794no—
1618C4⋊C4—794no—
1619C4⋊C4—794no—
1620C4⋊C4—794no—
1621C4⋊C4—794no—
1622C4⋊C4—794no—
1623C4⋊C4—794no—
1624C4⋊C4—794no—
1625C4⋊C4—794no—
1626C4⋊C4—794no—
1627C4⋊C4—794no—
1628C4⋊C4—794no—
1629C4⋊C4—794no—
1630C4⋊C4—794no—
1631C4⋊C4—794no—
1632C4⋊C4—794no—
1633C4⋊C4—794no—
1634C4⋊C4—794no—
1635C4⋊C4—794no—
1636C4⋊C4—794no—
1637C4⋊C4—794no—
1638C4⋊C4—794no—
1639C4⋊C4—794no—
1640C4⋊C4—794no—
1641C4⋊C4—794no—
1642C4⋊C4—794no—
1643C4⋊C4—794no—
1644C4⋊C4—794no—
1645C4⋊C4—794no—
1646C4⋊C4—794no—
1647C4⋊C4—794no—
1648C4⋊C4—794no—
1649C4⋊C4—792no—
1650C4⋊C4—792no—
1651C4⋊C4—794no—
1652C4⋊C4—794no—
1653C4⋊C4—794no—
1654C4⋊C4—792no—
1655C4⋊C4—792no—
1656C4⋊C4—792no—
1657C4⋊C4—792no—
1658C4⋊C4—794no—
1659C4⋊C4—794no—
1660C4⋊C4—794no—
1661C4⋊C4—794no—
1662C4⋊C4—794no—
1663C4⋊C4—794no—
1664C4⋊C4—794no—
1665C4⋊C4—794no—
1666C4⋊C4—794no—
1667C4⋊C4—794no—
1668C4⋊C4C23×D7912yes—
1669C4⋊C4C23×D7914yes—
1670C4⋊C4C23×D7914yes—
1671C4⋊C4C23×D7914yes—
1672C4⋊C4C23×D7914yes—
1673C4⋊C4C23×D7914yes—
1674C4⋊C4C23×D7912yes—
1675C4⋊C4C23×D7912yes—
1676C4⋊C4C23×D7912yes—
1677C4⋊C4C23×D7912yes—
1678C4⋊C4C23×D7914yes—
1679C4⋊C4C23×D7914yes—
1680C22⋊C4—794no—
1681C22⋊C4—794no—
1682C22⋊C4—794no—
1683C22⋊C4—792no—
1684C22⋊C4—792no—
1685C22⋊C4—794no—
1686C22⋊C4—794no—
1687C22⋊C4—794no—
1688C22⋊C4—794no—
1689C22⋊C4—792no—
1690C22⋊C4—792no—
1691C22⋊C4—794no—
1692C22⋊C4—794no—
1693C22⋊C4—794no—
1694C22⋊C4—794no—
1695C22⋊C4—794no—
1696C22⋊C4—794no—
1697C22⋊C4—794no—
1698C22⋊C4—794no—
1699C22⋊C4—794no—
1700C22⋊C4—794no—
1701C22⋊C4—794no—
1702C22⋊C4—794no—
1703C22⋊C4—794no—
1704C22⋊C4—794no—
1705C22⋊C4—794no—
1706C22⋊C4—794no—
1707C22⋊C4—794no—
1708C22⋊C4—794no—
1709C22⋊C4—794no—
1710C22⋊C4—794no—
1711C22⋊C4—794no—
1712C22⋊C4C23×D7914yes—
1713C22⋊C4C23×D7914yes—
1714C22⋊C4C23×D7914yes—
1715C22⋊C4C23×D7911yescharacteristic
1716C22⋊C4C23×D7912yes—
1717C22⋊C4C23×D7911yescharacteristic
1718C22⋊C4C23×D7914yes—
1719C22⋊C4C23×D7914yes—
1720C22⋊C4C23×D7914yes—
1721C22⋊C4C23×D7914yes—
1722C22⋊C4C23×D7912yes—
1723C22⋊C4C23×D7912yes—
1724C22⋊C4C23×D7914yes—
1725C22⋊C4C23×D7914yes—
1726C22⋊C4C23×D7912yes—
1727C22⋊C4C23×D7914yes—
1728C42—792no—
1729C42—794no—
1730C42—794no—
1731C42—794no—
1732C42—794no—
1733C42—792no—
1734C42—794no—
1735C42—794no—
1736C42—794no—
1737C42—794no—
1738C42—794no—
1739C42—794no—
1740C42—794no—
1741C42—794no—
1742C42—792no—
1743C42—792no—
1744C42C23×D7914yes—
1745C42C23×D7911yescharacteristic
1746C42C23×D7911yescharacteristic
1747C42C23×D7912yes—
1748C42C23×D7912yes—
1749C42C23×D7912yes—
1750C42C23×D7912yes—
1751C42C23×D7912yes—
1752C42C23×D7912yes—
1753C42C23×D7914yes—
1754C23—24no—
1755C23—44no—
1756C23—3162no—
1757C23—3164no—
1758C23—794no—
1759C23C24×D7912yes—
1760C23C24×D7912yes—
1761C23C24×D7912yes—
1762C23C24×D7911yescharacteristic
1763Q8—41no—
1764Q8—41no—
1765Q8—42no—
1766Q8—44no—
1767Q8—41no—
1768Q8—3162no—
1769Q8—3162no—
1770Q8—3164no—
1771Q8—3162no—
1772Q8—3164no—
1773Q8—3162no—
1774Q8—3164no—
1775Q8—3164no—
1776Q8—3164no—
1777D4—24no—
1778D4—41no—
1779D4—41no—
1780D4—42no—
1781D4—44no—
1782D4—44no—
1783D4—41no—
1784D4—3162no—
1785D4—3162no—
1786D4—3164no—
1787D4—3164no—
1788D4—3164no—
1789D4—3164no—
1790D4—3164no—
1791D4—1588no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—42no—
1795C2×C4—44no—
1796C2×C4—42no—
1797C2×C4—42no—
1798C2×C4—44no—
1799C2×C4—42no—
1800C2×C4—3164no—
1801C2×C4—3164no—
1802C2×C4—3164no—
1803C2×C4—3164no—
1804C2×C4—3164no—
1805C2×C4—3164no—
1806C2×C4—3162no—
1807C2×C4—3164no—
1808C2×C4—3162no—
1809C2×C4—3162no—
1810C2×C4—3164no—
1811C2×C4—3164no—
1812C2×C4—3164no—
1813C2×C4—3164no—
1814C2×C4—794no—
1815C2×C4—794no—
1816C2×C4—794no—
1817C2×C4—794no—
1818C2×C4—794no—
1819C2×C4—794no—
1820C2×C4—794no—
1821C2×C4—1588no—
1822C2×C4C24×D7912yes—
1823C2×C4C24×D7912yes—
1824C2×C4C24×D7914yes—
1825C2×C4C24×D7914yes—
1826C2×C4C24×D7912yes—
1827C2×C4C24×D7912yes—
1828C2×C4C24×D7912yes—
1829C2×C4C24×D7911yescharacteristic
1830C2×C4C24×D7912yes—
1831C2×C4C24×D7911yescharacteristic
1832C2×C4C24×D7912yes—
1833C22—22no—
1834C22—22no—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—24no—
1839C22—22no—
1840C22—24no—
1841C22—84no—
1842C22—1584no—
1843C22—1584no—
1844C22—1584no—
1845C22—12642no—
1846C22#1909939912yes—
1847C22C25×D7911yescharacteristic
1848C4—21no—
1849C4—22no—
1850C4—21no—
1851C4—22no—
1852C4—22no—
1853C4—22no—
1854C4—22no—
1855C4—22no—
1856C4—24no—
1857C4—22no—
1858C4—24no—
1859C4—1584no—
1860C4—1584no—
1861C4—1584no—
1862C4—1584no—
1863C4—1584no—
1864C4—1584no—
1865C4—1584no—
1866C2—22no—
1867C2—42no—
1868C2—42no—
1869C2—42no—
1870C2—3164no—
1871C2C2×#1909939911yescharacteristic
1872C2#2377821312yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3510C2
hypercenter#3510D79
hypocenterC79#63064
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3510

Complements

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

NH ≅ G/Ntype
1. #23778096C2semidirect
2. #23778069C2semidirect
3. #23778036C2semidirect
4. #23778025C2semidirect
5. #23778019C2semidirect
6. #23778012C2semidirect
7. #23778010C2semidirect
8. #23778003C2semidirect
9. #23777897C2semidirect
10. #23777883C2semidirect
11. #23777853C2semidirect
12. #23777757C2semidirect
13. #23777738C2semidirect
14. #23777605C2semidirect
15. #23777573C2semidirect
16. #23777545C2semidirect
17. C2×#19099313C2semidirect
18. #23777461C2semidirect
19. #23777378C2semidirect
20. #23777281C2semidirect
21. #23777139C2semidirect
22. #23777093C2semidirect
23. C79×#3510C2semidirect
24. C79⋊#564C22semidirect
25. C79⋊#564C22semidirect
26. #19099317C22semidirect
27. #19099317C22semidirect
28. #19099316C22semidirect
29. #19099316C22semidirect
30. #19099315C22semidirect
31. #19099315C22semidirect
32. #19099315C22semidirect
33. #19099314C22semidirect
34. #19099314C22semidirect
38. #19099313C22semidirect
39. #19099313C22semidirect
40. #19099313C22semidirect
41. #19099313C22semidirect
42. #19099313C22semidirect
43. #19099313C22semidirect
44. #19099313C22semidirect
45. #19099312C22semidirect
46. #19099310C22semidirect
47. #19099308C22semidirect
49. #19099307C22semidirect
51. #19099300C22semidirect
52. #19099299C22semidirect
53. #19099293C22semidirect
54. #19099291C22semidirect
55. #19099291C22semidirect
56. #19099291C22semidirect
57. #19099289C22semidirect
58. #19099285C22semidirect
59. #19099285C22semidirect
60. #19099284C22semidirect
61. #19099282C22semidirect
62. #19099282C22semidirect
63. #19099281C22semidirect
64. #19099280C22semidirect
65. #19099280C22semidirect
67. #19099275C22semidirect
68. #19099273C22semidirect
69. #19099272C22semidirect
70. #19099271C22semidirect
71. #19099271C22semidirect
72. #19099270C22semidirect
73. #19099270C22semidirect
74. #19099267C22semidirect
75. #19099267C22semidirect
76. #19099262C22semidirect
78. #19099259C22semidirect
79. #19099258C22semidirect
80. #19099256C22semidirect
81. #19099255C22semidirect
82. #19099254C22semidirect
84. #19099253C22semidirect
85. #19099253C22semidirect
86. #19099253C22semidirect
87. #19099253C22semidirect
88. #19099252C22semidirect
89. #19099252C22semidirect
90. #19099250C22semidirect
91. #19099250C22semidirect
92. #19099250C22semidirect
93. #19099250C22semidirect
94. #19099249C22semidirect
95. #19099249C22semidirect
96. #19099246C22semidirect
97. #19099246C22semidirect
98. #19099246C22semidirect
99. #19099246C22semidirect
100. #19099246C22semidirect
101. #19099246C22semidirect
102. #19099246C22semidirect
103. #19099244C22semidirect
105. #19099243C22semidirect
106. #19099243C22semidirect
108. #19099242C22semidirect
112. #19099238C22semidirect
113. #19099237C22semidirect
114. #19099236C22semidirect
116. #19099212C22semidirect
119. #19099200C22semidirect
120. #19099192C22semidirect
121. #19099192C22semidirect
122. #19099191C22semidirect
123. #19099190C22semidirect
124. #19099190C22semidirect
125. #19099189C22semidirect
126. #19099188C22semidirect
127. #19099183C22semidirect
128. #19099182C22semidirect
129. #19099181C22semidirect
130. #19099181C22semidirect
131. #19099179C22semidirect
132. #19099178C22semidirect
135. #19099177C22semidirect
136. #19099177C22semidirect
137. #19099177C22semidirect
138. #19099175C22semidirect
139. #19099174C22semidirect
140. #19099173C22semidirect
141. #19099171C22semidirect
142. #19099171C22semidirect
143. #19099171C22semidirect
144. #19099171C22semidirect
145. #19099171C22semidirect
146. #19099170C22semidirect
147. #19099170C22semidirect
148. #19099170C22semidirect
149. #19099170C22semidirect
150. #19099170C22semidirect
153. #19099159C22semidirect
155. #19099157C22semidirect
156. #19099157C22semidirect
157. #19099157C22semidirect
158. #19099156C22semidirect
160. #19099155C22semidirect
161. #19099155C22semidirect
162. #19099155C22semidirect
163. #19099154C22semidirect
164. #19099149C22semidirect
167. #19099146C22semidirect
171. #19099135C22semidirect
173. #19099120C22semidirect
174. #19099117C22semidirect
175. #19099117C22semidirect
176. #19099116C22semidirect
177. #19099116C22semidirect
178. #19099115C22semidirect
179. C2×#14579159C22semidirect
181. #19099097C22semidirect
182. #19099097C22semidirect
183. #19099095C22semidirect
185. #19099093C22semidirect
186. #19099093C22semidirect
187. #19099092C22semidirect
188. #19099091C22semidirect
189. #19099090C22semidirect
190. #19099090C22semidirect
191. C2×#14579154C22semidirect
192. #126×D79C22semidirect
193. C2×#14579153C22semidirect
194. C2×#14579153C22semidirect
196. C2×#14579145C22semidirect
198. C2×#14579138C22semidirect
199. #19099042C22semidirect
200. #19099040C22semidirect
201. #19099036C22semidirect
203. C2×#14579117C22semidirect
204. #559×C79C22semidirect
205. #556×C79C22semidirect
206. #551×C79C22semidirect
207. #551×C79C22semidirect
209. #542×C79C22semidirect
210. #536×C79C22semidirect
212. #533×C79C22semidirect
214. #529×C79C22semidirect
216. #519×C79C22semidirect
218. C4×#41×C79C22semidirect
956. #3510D79semidirect
960. C79#63064semidirect
990. #559C2×D79semidirect
1004. #556C2×D79semidirect
1054. #551C2×D79semidirect
1055. #551C2×D79semidirect
1080. #542C2×D79semidirect
1115. #536C2×D79semidirect
1124. #533C2×D79semidirect
1138. #529C2×D79semidirect
1150. #519C2×D79semidirect
1154. C4×#41C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780962
#237780692
#237780362
#237780252
#237780192
#237780122
#237780102
#237780032
#237778972
#237778832
#237778532
#237777572
#237777382
#237776052
#237775732
#237775452
C2×#190993132
#237774612
#237773782
#237772812
#237771392
#237770932
C79×#35102
#6306479