Finite Group Databasebeta

← #35196909

Subgroups — #35196909

Order 20224.

7242 conjugacy classes of subgroups.

The subgroup lattice has 2076 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777688C214yesmaximal, complemented
2#23777680C214yesmaximal, complemented
3#23777640C214yesmaximal, complemented
4#23777615C214yesmaximal, complemented
5#23777605C214yesmaximal, complemented
6#23777597C214yesmaximal, complemented
7#23777438C214yesmaximal, complemented
8#23777436C214yesmaximal, complemented
9#23777237C212yesmaximal, complemented
10#23777230C212yesmaximal, complemented
11#23777200C212yesmaximal, complemented
12#23777198C212yesmaximal, complemented
13#23777139C214yesmaximal, complemented
14#23777106C212yesmaximal, complemented
15#23777101C212yesmaximal, complemented
16#23777101C212yesmaximal, complemented
17#23777089C211yesmaximal, characteristic, complemented
18#23777087C212yesmaximal, complemented
19#23777071C214yesmaximal, complemented
20#23777047C212yesmaximal, complemented
21C2×#19099069C212yesmaximal, complemented
22C22×#14579138C211yesmaximal, characteristic, complemented
23C79×#3490C211yesmaximal, characteristic, complemented
24C2×#14579208C2212yescomplemented
25C22×#11929623C2212yescomplemented
26C23×Dic158C2211yescharacteristic, complemented
27C24×Dic79C2211yescharacteristic
28#19099316C2214yescomplemented
29#19099315C2214yescomplemented
30#19099315C2214yescomplemented
31#19099313C2214yescomplemented
32#19099310C2214yescomplemented
33#19099308C2214yescomplemented
34#19099308C2214yescomplemented
35#19099307C2214yescomplemented
36#19099282C2214yescomplemented
37#19099280C2214yescomplemented
38#19099272C2214yescomplemented
39#19099272C2214yescomplemented
40#19099272C2214yescomplemented
41#19099272C2214yescomplemented
42#19099271C2214yescomplemented
43#19099271C2214yescomplemented
44#19099270C2214yescomplemented
45#19099270C2214yescomplemented
46#19099267C2214yescomplemented
47#19099267C2214yescomplemented
48#19099267C2214yescomplemented
49#19099267C2214yescomplemented
50#19099265C2214yescomplemented
51#19099262C2214yescomplemented
52#19099262C2214yescomplemented
53#19099259C2214yescomplemented
54#19099256C2214yescomplemented
55#19099256C2214yescomplemented
56#19099255C2214yescomplemented
57#19099253C2214yescomplemented
58#19099250C2214yescomplemented
59#19099250C2214yescomplemented
60#19099250C2214yescomplemented
61#19099250C2214yescomplemented
62#19099249C2214yescomplemented
63#19099246C2214yescomplemented
64#19099246C2214yescomplemented
65#19099246C2214yescomplemented
66#19099244C2214yescomplemented
67#19099244C2214yescomplemented
68#19099244C2214yescomplemented
69#19099239C2214yescomplemented
70#19099239C2214yescomplemented
71#19099239C2214yescomplemented
72#19099239C2214yescomplemented
73#19099239C2214yescomplemented
74#19099237C2214yescomplemented
75#19099236C2214yescomplemented
76D4×Dic158C2214yescomplemented
77D4×Dic158C2214yescomplemented
78D4×Dic158C2214yescomplemented
79#19099226C2214yescomplemented
80#19099226C2214yescomplemented
81#19099226C2214yescomplemented
82#19099222C2214yescomplemented
83#19099222C2214yescomplemented
84#19099221C2214yescomplemented
85#19099219C2214yescomplemented
86#19099219C2214yescomplemented
87#19099219C2214yescomplemented
88#19099217C2214yescomplemented
89#19099213C2214yescomplemented
90#19099213C2214yescomplemented
91#19099212C2214yescomplemented
92#19099212C2214yescomplemented
93#19099211C2214yescomplemented
94#19099211C2214yescomplemented
95#19099211C2214yescomplemented
96#19099207C2214yescomplemented
97#19099207C2214yescomplemented
98#19099203C2214yescomplemented
99#19099203C2214yescomplemented
100#19099203C2214yescomplemented
101#19099200C2214yescomplemented
102#19099200C2214yescomplemented
103#19099200C2214yescomplemented
104#19099192C2214yescomplemented
105#19099192C2212yescomplemented
106#19099192C2212yescomplemented
107#19099191C2214yescomplemented
108#19099191C2212yescomplemented
109#19099189C2212yes—
110#19099189C2211yescharacteristic
111#19099189C2214yescomplemented
112#19099188C2214yescomplemented
113#19099182C2214yescomplemented
114#19099181C2214yescomplemented
115#19099180C2214yescomplemented
116#19099179C2214yescomplemented
117#19099177C2214yescomplemented
118#19099177C2214yescomplemented
119#19099170C2214yescomplemented
120#19099170C2214yescomplemented
121#19099162C2212yescomplemented
122#19099162C2212yescomplemented
123#19099158C2212yescomplemented
124#19099158C2212yescomplemented
125#19099158C2214yescomplemented
126#19099157C2214yescomplemented
127#19099157C2214yescomplemented
128#19099157C2214yescomplemented
129#19099157C2214yescomplemented
130#19099156C2214yescomplemented
131#19099155C2214yescomplemented
132#19099155C2214yescomplemented
133#19099155C2214yescomplemented
134#19099154C2214yescomplemented
135#19099151C2212yescomplemented
136#19099151C2212yescomplemented
137#19099148C2214yescomplemented
138#19099148C2214yescomplemented
139#19099148C2214yescomplemented
140#19099146C2214yescomplemented
141#19099142C2214yescomplemented
142#19099141C2212yescomplemented
143#19099140C2212yescomplemented
144#19099140C2212yescomplemented
145#19099140C2214yescomplemented
146#19099139C2212yescomplemented
147#19099135C2214yescomplemented
148#19099135C2214yescomplemented
149#19099135C2214yescomplemented
150#19099134C2212yescomplemented
151#19099133C2214yescomplemented
152#19099125C2211yescharacteristic
153#19099122C2212yes—
154#19099116C2214yescomplemented
155#19099115C2214yescomplemented
156#19099093C2214yescomplemented
157#19099090C2214yescomplemented
158#19099074C2212yescomplemented
159#19099074C2212yescomplemented
160#19099072C2214yescomplemented
161#19099069C2214yes—
162#19099069C2214yes—
163#19099069C2214yes—
164#19099069C2214yes—
165#19099069C2214yescomplemented
166#19099069C2214yescomplemented
167#19099069C2214yescomplemented
168#19099069C2214yescomplemented
169#19099069C2214yescomplemented
170#19099069C2214yescomplemented
171#19099069C2214yescomplemented
172C2×#14579145C2212yescomplemented
173C2×#14579142C2212yescomplemented
174C2×#14579138C2212yes—
175C2×#14579138C2212yes—
176C2×#14579138C2212yes—
177C2×#14579138C2214yescomplemented
178C2×#14579138C2214yescomplemented
179C2×#14579138C2214yescomplemented
180C2×#14579138C2212yescomplemented
181C2×#14579138C2212yescomplemented
182C2×#14579138C2212yescomplemented
183C2×#14579138C2214yescomplemented
184C2×#14579138C2214yescomplemented
185C22⋊Q8×D79C2214yescomplemented
186C2×#14579133C2212yes—
187C2×#14579133C2212yescomplemented
188C2×#14579130C2212yes—
189#19099046C2212yescomplemented
190#19099043C2212yescomplemented
191#19099042C2214yescomplemented
192#19099042C2214yescomplemented
193#19099040C2212yescomplemented
194#19099038C2212yes—
195#19099036C2212yes—
196#19099036C2212yes—
197C2×D4×Dic79C2212yes—
198C2×D4×Dic79C2212yescomplemented
199C2×(C22⋊D79)⋊C4C2212yes—
200C2×(C22⋊D79)⋊C4C2212yescomplemented
201C2×#14579117C2212yescomplemented
202C22×C4⋊Dic79C2211yescharacteristic, complemented
203C22×Dic79⋊C4C2211yescharacteristic, complemented
204C22×Dic79⋊C4C2211yescharacteristic, complemented
205C22×C22⋊Dic79C2211yescharacteristic
206#551×C79C2214yescomplemented
207#551×C79C2214yescomplemented
208#546×C79C2214yescomplemented
209#546×C79C2214yescomplemented
210#543×C79C2211yescharacteristic
211#538×C79C2212yescomplemented
212#538×C79C2212yescomplemented
213#534×C79C2211yescharacteristic
214#525×C79C2212yescomplemented
215#525×C79C2212yescomplemented
216C2×#120×C79C2212yes—
217#518×C79C2212yes—
218C22×C22⋊C4×C79C2211yescharacteristic
219#14579208—48no—
220C2×#11929624C2312yes—
221C2×#11929624C2312yes—
222C2×#11929624C2314yescomplemented
223C2×#11929623—48no—
224C2×#11929623C2314yes—
225C2×#11929623C2314yes—
226C2×#11929623C2314yes—
227C2×#11929623C2314yes—
228C2×#11929623C2314yes—
229C2×#11929623C2314yes—
230C2×#11929623C2314yescomplemented
231C22×Dic158—44no—
232C22×Dic158C2312yes—
233C22×Dic158C2312yes—
234C22×Dic158C2312yes—
235C22×Dic158C2314yes—
236C22×Dic158C2312yes—
237C22×Dic158C2312yes—
238C22×Dic158C2314yescomplemented
239C2×Q8×D79C2314yescomplemented
240C22×C22⋊D79C2312yes—
241C22×C22⋊D79C2312yes—
242C22×C22⋊D79C2312yes—
243C22×C22⋊D79C2312yes—
244C23×Dic79—44no—
245C23×Dic79C2311yescharacteristic
246C23×Dic79C2312yes—
247C23×Dic79C2311yescharacteristic
248C23×Dic79C2311yescharacteristic
249C23×Dic79C2311yescharacteristic
250C23×Dic79C2312yes—
251C23×Dic79C2312yes—
252C23×Dic79C2312yes—
253C23×Dic79C2312yes—
254C23×Dic79C2312yes—
255C23×Dic79C2312yes—
256C22×C4×D79C2312yes—
257#14579161C2314yescomplemented
258#14579161C2314yescomplemented
259#14579160C2314yescomplemented
260#14579160C2314yescomplemented
261#14579160C2314yescomplemented
262#14579160C2314yescomplemented
263#14579160C2314yescomplemented
264#14579160C2314yescomplemented
265#14579160C2314yescomplemented
266#14579159C2314yescomplemented
267#14579159C2314yescomplemented
268#14579159C2314yescomplemented
269#14579156C2314yescomplemented
270#14579156C2314yescomplemented
271#14579156C2314yescomplemented
272#14579156C2314yescomplemented
273#14579155C2314yescomplemented
274#14579155C2314yescomplemented
275#14579154C2314yes—
276#14579154C2314yes—
277#14579154C2314yes—
278#14579154C2314yes—
279#14579154C2314yes—
280#14579154C2314yes—
281#14579154C2314yescomplemented
282#14579154C2314yescomplemented
283#14579154C2314yescomplemented
284#14579154C2314yescomplemented
285#14579154C2314yescomplemented
286#14579154C2314yescomplemented
287#14579153C2314yescomplemented
288#14579153C2314yescomplemented
289#14579153C2314yescomplemented
290#14579152C2314yescomplemented
291#14579152C2314yescomplemented
292#14579152C2314yescomplemented
293#14579152C2314yescomplemented
294#14579152C2314yescomplemented
295#14579151C2314yescomplemented
296#14579151C2314yescomplemented
297#14579151C2314yescomplemented
298#14579151C2314yescomplemented
299#14579151C2314yescomplemented
300#14579151C2314yescomplemented
301#14579151C2314yescomplemented
302#14579151C2314yescomplemented
303#14579151C2314yescomplemented
304#14579151C2314yescomplemented
305#14579149C2314yescomplemented
306#14579148C2314yes—
307#14579148C2314yes—
308#14579148C2314yescomplemented
309#14579147C2314yes—
310#14579147C2314yes—
311#14579147C2314yes—
312#14579147C2314yes—
313#14579147C2314yescomplemented
314#14579147C2314yescomplemented
315#14579147C2314yescomplemented
316#14579147C2314yescomplemented
317#14579146C2314yescomplemented
318#14579146C2314yescomplemented
319#14579145C2314yes—
320#14579145C2314yes—
321#14579145C2314yes—
322#14579145C2314yes—
323#14579145C2314yes—
324#14579145C2314yes—
325#14579145C2314yes—
326#14579145C2314yescomplemented
327#14579145C2314yescomplemented
328#14579144C2314yes—
329#14579144C2314yes—
330#14579144C2314yes—
331#14579144C2314yescomplemented
332#14579144C2314yescomplemented
333#14579143C2314yes—
334#14579143C2314yes—
335#14579143C2314yes—
336#14579143C2314yes—
337#14579143C2314yescomplemented
338#14579143C2314yescomplemented
339#14579143C2314yescomplemented
340#14579143C2314yescomplemented
341#14579142C2314yes—
342#14579142C2314yes—
343#14579142C2314yes—
344#14579142C2314yes—
345#14579142C2314yes—
346#14579142C2314yes—
347#14579142C2314yes—
348#14579142C2314yes—
349#14579142C2314yes—
350#14579142C2314yescomplemented
351#14579142C2314yescomplemented
352#14579141C2314yescomplemented
353#14579141C2314yescomplemented
354#14579141C2314yescomplemented
355#14579141C2314yescomplemented
356#14579140C2312yes—
357#14579140C2312yes—
358#14579140C2312yes—
359#14579140C2312yes—
360#14579140C2314yes—
361#14579140C2314yes—
362#14579140C2314yescomplemented
363#14579140C2314yescomplemented
364#14579140C2314yescomplemented
365#14579140C2314yescomplemented
366#14579140C2314yescomplemented
367#14579139C2314yescomplemented
368#14579139C2314yescomplemented
369#14579139C2314yescomplemented
370#14579139C2314yescomplemented
371#14579139C2314yescomplemented
372#14579139C2314yescomplemented
373#14579139C2314yescomplemented
374#14579139C2314yescomplemented
375#14579138C2314yes—
376#14579138C2314yes—
377#14579138C2314yes—
378#14579138C2314yes—
379#14579138C2314yes—
380#14579138C2314yes—
381#14579138C2314yes—
382#14579138C2314yes—
383#14579138C2314yes—
384#14579138C2314yes—
385#14579138C2314yes—
386#14579138C2314yes—
387#14579138C2314yes—
388#14579138C2314yes—
389#14579138C2314yes—
390#14579138C2314yes—
391#14579138C2314yes—
392#14579138C2314yes—
393#14579138C2314yes—
394#14579138C2314yes—
395#14579138C2314yes—
396#14579138C2314yes—
397#14579138C2314yes—
398#14579138C2314yes—
399#14579138C2314yes—
400#14579138C2314yes—
401#14579138C2314yes—
402#14579138C2314yes—
403#14579138C2314yes—
404#14579138C2314yes—
405#14579138C2314yes—
406#14579138C2314yes—
407#14579138C2314yescomplemented
408#14579138C2314yescomplemented
409#14579138C2314yescomplemented
410#14579138C2314yescomplemented
411#14579138C2314yescomplemented
412#14579138C2314yescomplemented
413#14579138C2314yescomplemented
414#14579138C2314yescomplemented
415#14579138C2314yescomplemented
416#14579138C2314yescomplemented
417#14579137C2314yescomplemented
418#14579137C2314yescomplemented
419#14579137C2314yescomplemented
420#14579135C2312yes—
421#14579135C2312yes—
422#14579135C2312yes—
423#14579135C2312yes—
424#14579135C2314yescomplemented
425#14579134C2314yes—
426#14579134C2314yes—
427#14579134C2314yescomplemented
428#14579134C2314yescomplemented
429#14579133C2314yes—
430#14579133C2314yes—
431#14579133C2314yes—
432#14579133C2314yes—
433#14579133C2314yes—
434#14579133C2314yes—
435#14579133C2314yes—
436#14579133C2314yes—
437#14579133C2314yes—
438#14579133C2314yes—
439#14579133C2314yes—
440#14579133C2314yes—
441#14579133C2314yes—
442#14579133C2314yes—
443#14579133C2314yescomplemented
444#14579133C2314yescomplemented
445#14579132C2314yes—
446#14579132C2314yes—
447#14579132C2314yescomplemented
448#14579131C2314yes—
449#14579130C2314yes—
450#14579130C2314yes—
451#14579130C2314yes—
452#14579130C2314yes—
453#14579130C2314yes—
454#14579129C2314yes—
455Q8×Dic79C2314yescomplemented
456C4×Dic158C2314yescomplemented
457C4×Dic158C2314yescomplemented
458C4×Dic158C2314yescomplemented
459C4×Dic158C2314yescomplemented
460C4×Dic158C2314yescomplemented
461#14579126C2314yescomplemented
462#14579126C2314yescomplemented
463#14579126C2314yescomplemented
464#14579126C2314yescomplemented
465C4×D316C2314yescomplemented
466D4×Dic79C2314yes—
467D4×Dic79C2314yes—
468D4×Dic79C2314yes—
469D4×Dic79C2314yes—
470D4×Dic79C2314yes—
471D4×Dic79C2314yes—
472D4×Dic79C2314yes—
473D4×Dic79C2314yes—
474D4×Dic79C2314yes—
475D4×Dic79C2314yes—
476D4×Dic79C2314yes—
477D4×Dic79C2314yes—
478D4×Dic79C2314yes—
479D4×Dic79C2314yes—
480D4×Dic79C2314yescomplemented
481C4×C22⋊D79C2314yes—
482C4×C22⋊D79C2314yes—
483C4×C22⋊D79C2314yes—
484C4×C22⋊D79C2314yes—
485C4×C22⋊D79C2314yes—
486C4×C22⋊D79C2314yes—
487C4×C22⋊D79C2314yescomplemented
488C4×C22⋊D79C2314yescomplemented
489(C22⋊D79)⋊C4C2314yes—
490(C22⋊D79)⋊C4C2314yes—
491(C22⋊D79)⋊C4C2314yes—
492(C22⋊D79)⋊C4C2314yes—
493(C22⋊D79)⋊C4C2314yes—
494(C22⋊D79)⋊C4C2314yes—
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)⋊C4C2314yescomplemented
504(C22⋊D79)⋊C4C2314yescomplemented
505#14579120C2314yes—
506#14579120C2312yes—
507#14579120C2312yes—
508#14579120C2314yescomplemented
509#14579119C2314yescomplemented
510#14579118C2314yescomplemented
511#14579118C2314yescomplemented
512#14579117C2314yes—
513#14579117C2314yes—
514#14579117C2314yes—
515#14579117C2314yes—
516#14579117C2314yes—
517#14579117C2314yes—
518#14579117C2314yes—
519#14579117C2314yes—
520#14579117C2314yescomplemented
521#14579117C2314yescomplemented
522C2×C4⋊Dic79C2312yes—
523C2×C4⋊Dic79C2312yes—
524C2×C4⋊Dic79C2312yes—
525C2×C4⋊Dic79C2314yes—
526C2×C4⋊Dic79C2312yes—
527C2×C4⋊Dic79C2312yes—
528C2×C4⋊Dic79C2312yes—
529C2×C4⋊Dic79C2314yescomplemented
530C2×Dic79⋊C4C2312yes—
531C2×Dic79⋊C4C2312yes—
532C2×Dic79⋊C4C2312yes—
533C2×Dic79⋊C4C2312yes—
534C2×Dic79⋊C4C2312yes—
535C2×Dic79⋊C4C2314yes—
536C2×Dic79⋊C4C2314yes—
537C2×Dic79⋊C4C2312yes—
538C2×Dic79⋊C4C2312yes—
539C2×Dic79⋊C4C2312yes—
540C2×Dic79⋊C4C2312yes—
541C2×Dic79⋊C4C2312yes—
542C2×Dic79⋊C4C2312yes—
543C2×Dic79⋊C4C2312yes—
544C2×Dic79⋊C4C2314yescomplemented
545C2×Dic79⋊C4C2314yescomplemented
546C4⋊C4×D79C2314yescomplemented
547C4⋊C4×D79C2314yescomplemented
548C4⋊C4×D79C2314yescomplemented
549C2×C22⋊Dic79C2312yes—
550C2×C22⋊Dic79C2312yes—
551C2×C22⋊Dic79C2312yes—
552C2×C22⋊Dic79C2312yes—
553C2×C22⋊Dic79C2314yes—
554C2×C22⋊Dic79C2314yes—
555C2×C22⋊Dic79C2314yes—
556C2×C22⋊Dic79C2312yes—
557C2×C22⋊Dic79C2312yes—
558C2×C22⋊Dic79C2312yes—
559C2×(C2×D79)⋊C4C2312yes—
560C2×(C2×D79)⋊C4C2312yes—
561C22⋊C4×D79C2314yes—
562C22⋊C4×D79C2314yes—
563C2×C4×Dic79C2312yes—
564C2×C4×Dic79C2312yes—
565C25×C79C2311yescharacteristic
566C2×#41×C79C2312yes—
567C2×#41×C79C2312yes—
568C22×D4×C79C2312yes—
569C22×D4×C79C2312yes—
570C22×D4×C79C2312yes—
571C23×C4×C79C2311yescharacteristic
572C23×C4×C79C2311yescharacteristic
573#126×C79C2314yes—
574#126×C79C2314yes—
575#124×C79C2314yes—
576#124×C79C2314yes—
577#123×C79C2314yes—
578#123×C79C2314yes—
579#123×C79C2314yes—
580#123×C79C2314yes—
581#123×C79C2314yes—
582C22⋊Q8×C79C2312yes—
583C22⋊Q8×C79C2312yes—
584C22⋊Q8×C79C2314yes—
585C22⋊Q8×C79C2314yes—
586C22⋊Q8×C79C2312yes—
587C22⋊Q8×C79C2312yes—
588#121×C79C2312yes—
589#121×C79C2312yes—
590#121×C79C2314yes—
591#121×C79C2314yes—
592#121×C79C2312yes—
593#121×C79C2312yes—
594#120×C79C2314yes—
595#120×C79C2314yes—
596#120×C79C2314yes—
597#120×C79C2314yes—
598#120×C79C2314yes—
599C4×D4×C79C2314yes—
600C4×D4×C79C2314yes—
601C4×D4×C79C2314yes—
602C4×D4×C79C2314yes—
603C4×D4×C79C2314yes—
604C4×D4×C79C2314yes—
605#117×C79C2312yes—
606#117×C79C2314yes—
607#117×C79C2312yes—
608C2×C22⋊C4×C79C2311yescharacteristic
609C2×C22⋊C4×C79C2311yescharacteristic
610C2×C22⋊C4×C79C2311yescharacteristic
611C2×C22⋊C4×C79C2312yes—
612C2×C22⋊C4×C79C2314yes—
613C2×C22⋊C4×C79C2314yes—
614C2×C22⋊C4×C79C2314yes—
615C2×C22⋊C4×C79C2311yescharacteristic
616C2×C22⋊C4×C79C2312yes—
617C2×C22⋊C4×C79C2312yes—
618C23×D79C2412yes—
619#11929624—44no—
620#11929624—44no—
621#11929624—48no—
622#11929623—216no—
623#11929623—48no—
624#11929623—48no—
625#11929623—48no—
626#11929623—48no—
627#11929623—48no—
628#11929623—48no—
629C2×Dic158—28no—
630C2×Dic158—44no—
631C2×Dic158—44no—
632C2×Dic158—48no—
633C2×Dic158—44no—
634C2×Dic158—44no—
635C2×Dic158—48no—
636C2×Dic158C2414yes—
637C2×Dic158C2414yes—
638C2×Dic158C2414yes—
639C2×Dic158C2414yes—
640C2×Dic158C2414yes—
641C2×Dic158C2414yes—
642C2×Dic158C2414yes—
643C2×Dic158C2412yes—
644C2×Dic158C2414yes—
645C2×Dic158C2412yes—
646Q8×D79—48no—
647C2×D316C2412yes—
648C2×D316C2412yes—
649C2×C22⋊D79—28no—
650C2×C22⋊D79—44no—
651C2×C22⋊D79—44no—
652C2×C22⋊D79—44no—
653C2×C22⋊D79C2414yes—
654C2×C22⋊D79C2414yes—
655C2×C22⋊D79C2414yes—
656C2×C22⋊D79C2414yes—
657C2×C22⋊D79C2414yes—
658C2×C22⋊D79C2414yes—
659C2×C22⋊D79C2414yes—
660C2×C22⋊D79C2414yes—
661C2×C22⋊D79C2414yes—
662C2×C22⋊D79C2414yes—
663C22×Dic79—24no—
664C22×Dic79—28no—
665C22×Dic79—42no—
666C22×Dic79—42no—
667C22×Dic79—44no—
668C22×Dic79—42no—
669C22×Dic79—44no—
670C22×Dic79—44no—
671C22×Dic79—44no—
672C22×Dic79—44no—
673C22×Dic79—44no—
674C22×Dic79C2412yes—
675C22×Dic79C2412yes—
676C22×Dic79C2412yes—
677C22×Dic79C2411yescharacteristic
678C22×Dic79C2412yes—
679C22×Dic79C2414yes—
680C22×Dic79C2412yes—
681C22×Dic79C2412yes—
682C22×Dic79C2412yes—
683C22×Dic79C2412yes—
684C22×Dic79C2412yes—
685C22×Dic79C2412yes—
686C22×Dic79C2412yes—
687C22×Dic79C2412yes—
688C22×Dic79C2412yes—
689C22×Dic79C2414yes—
690C22×Dic79C2414yes—
691C22×Dic79C2414yes—
692C22×Dic79C2412yes—
693C22×Dic79C2412yes—
694C22×Dic79C2412yes—
695C22×Dic79C2412yes—
696C22×Dic79C2412yes—
697C22×Dic79C2411yescharacteristic
698C22×Dic79C2412yes—
699C22×Dic79C2411yescharacteristic
700C22×Dic79C2412yes—
701C22×Dic79C2412yes—
702C22×Dic79C2411yescharacteristic
703C2×C4×D79—44no—
704C2×C4×D79C2414yes—
705C2×C4×D79C2414yes—
706C2×C4×D79C2414yes—
707C2×C4×D79C2414yes—
708C2×C4×D79C2414yes—
709C2×C4×D79C2414yes—
710C4⋊Dic79C2414yes—
711C4⋊Dic79C2414yes—
712C4⋊Dic79C2414yes—
713C4⋊Dic79C2414yes—
714C4⋊Dic79C2414yes—
715C4⋊Dic79C2414yes—
716C4⋊Dic79C2414yes—
717C4⋊Dic79C2414yes—
718C4⋊Dic79C2414yes—
719C4⋊Dic79C2412yes—
720C4⋊Dic79C2414yes—
721C4⋊Dic79C2412yes—
722C4⋊Dic79C2414yes—
723C4⋊Dic79C2414yes—
724C4⋊Dic79C2412yes—
725C4⋊Dic79C2412yes—
726Dic79⋊C4C2414yes—
727Dic79⋊C4C2414yes—
728Dic79⋊C4C2414yes—
729Dic79⋊C4C2414yes—
730Dic79⋊C4C2414yes—
731Dic79⋊C4C2414yes—
732Dic79⋊C4C2414yes—
733Dic79⋊C4C2414yes—
734Dic79⋊C4C2414yes—
735Dic79⋊C4C2414yes—
736Dic79⋊C4C2414yes—
737Dic79⋊C4C2414yes—
738Dic79⋊C4C2414yes—
739Dic79⋊C4C2414yes—
740Dic79⋊C4C2414yes—
741Dic79⋊C4C2414yes—
742Dic79⋊C4C2414yes—
743Dic79⋊C4C2414yes—
744Dic79⋊C4C2414yes—
745Dic79⋊C4C2414yes—
746Dic79⋊C4C2414yes—
747Dic79⋊C4C2414yes—
748Dic79⋊C4C2414yes—
749Dic79⋊C4C2414yes—
750Dic79⋊C4C2414yes—
751Dic79⋊C4C2414yes—
752Dic79⋊C4C2414yes—
753Dic79⋊C4C2414yes—
754C22⋊Dic79C2414yes—
755C22⋊Dic79C2414yes—
756C22⋊Dic79C2414yes—
757C22⋊Dic79C2414yes—
758C22⋊Dic79C2414yes—
759C22⋊Dic79C2414yes—
760C22⋊Dic79C2414yes—
761C22⋊Dic79C2414yes—
762C22⋊Dic79C2414yes—
763C22⋊Dic79C2414yes—
764C22⋊Dic79C2414yes—
765C22⋊Dic79C2414yes—
766C22⋊Dic79C2414yes—
767C22⋊Dic79C2414yes—
768C22⋊Dic79C2414yes—
769C22⋊Dic79C2414yes—
770C22⋊Dic79C2414yes—
771C22⋊Dic79C2414yes—
772(C2×D79)⋊C4C2414yes—
773(C2×D79)⋊C4C2414yes—
774(C2×D79)⋊C4C2414yes—
775(C2×D79)⋊C4C2414yes—
776(C2×D79)⋊C4C2414yes—
777(C2×D79)⋊C4C2414yes—
778(C2×D79)⋊C4C2414yes—
779(C2×D79)⋊C4C2414yes—
780(C2×D79)⋊C4C2414yes—
781(C2×D79)⋊C4C2414yes—
782(C2×D79)⋊C4C2414yes—
783(C2×D79)⋊C4C2414yes—
784C4×Dic79C2414yes—
785C4×Dic79C2414yes—
786C4×Dic79C2414yes—
787C4×Dic79C2414yes—
788C4×Dic79C2414yes—
789C4×Dic79C2414yes—
790C4×Dic79C2414yes—
791C4×Dic79C2414yes—
792C4×Dic79C2414yes—
793C4×Dic79C2414yes—
794C24×C79—24no—
795C24×C79—42no—
796C24×C79—42no—
797C24×C79C2411yescharacteristic
798C24×C79C2412yes—
799C24×C79C2412yes—
800C24×C79C2411yescharacteristic
801C24×C79C2412yes—
802C24×C79C2411yescharacteristic
803#41×C79—44no—
804#41×C79—44no—
805C2×Q8×C79C2412yes—
806C2×Q8×C79C2412yes—
807C2×D4×C79—28no—
808C2×D4×C79—44no—
809C2×D4×C79—44no—
810C2×D4×C79C2414yes—
811C2×D4×C79C2414yes—
812C2×D4×C79C2414yes—
813C2×D4×C79C2414yes—
814C2×D4×C79C2414yes—
815C2×D4×C79C2412yes—
816C2×D4×C79C2412yes—
817C2×D4×C79C2414yes—
818C22×C4×C79—42no—
819C22×C4×C79—42no—
820C22×C4×C79C2412yes—
821C22×C4×C79C2412yes—
822C22×C4×C79C2412yes—
823C22×C4×C79C2411yescharacteristic
824C22×C4×C79C2412yes—
825C22×C4×C79C2411yescharacteristic
826C22×C4×C79C2412yes—
827C22×C4×C79C2414yes—
828C22×C4×C79C2411yescharacteristic
829C22×C4×C79C2412yes—
830C22×C4×C79C2412yes—
831C22×C4×C79C2411yescharacteristic
832C22×C4×C79C2414yes—
833C4⋊C4×C79C2414yes—
834C4⋊C4×C79C2414yes—
835C4⋊C4×C79C2412yes—
836C4⋊C4×C79C2412yes—
837C4⋊C4×C79C2412yes—
838C4⋊C4×C79C2412yes—
839C4⋊C4×C79C2414yes—
840C4⋊C4×C79C2414yes—
841C22⋊C4×C79C2414yes—
842C22⋊C4×C79C2414yes—
843C22⋊C4×C79C2414yes—
844C22⋊C4×C79C2414yes—
845C22⋊C4×C79C2414yes—
846C22⋊C4×C79C2414yes—
847C22⋊C4×C79C2414yes—
848C22⋊C4×C79C2414yes—
849C22⋊C4×C79C2414yes—
850C22⋊C4×C79C2414yes—
851C22⋊C4×C79C2414yes—
852C22⋊C4×C79C2414yes—
853C22⋊C4×C79C2414yes—
854C22⋊C4×C79C2414yes—
855C42×C79C2414yes—
856C42×C79C2414yes—
857C23×C79—22no—
858C23×C79—22no—
859C23×C79—22no—
860C23×C79—24no—
861C23×C79—24no—
862C23×C79—24no—
863C23×C79—22no—
864C23×C79—24no—
865C23×C79—24no—
866C23×C79—41no—
867C23×C79—42no—
868C23×C79—41no—
869C23×C79—41no—
870C23×C79—42no—
871C23×C79—41no—
872C23×C79—42no—
873C23×C79—42no—
874C23×C79—416no—
875C23×C792−1+414yescomplemented
876C23×C79C2512yes—
877C23×C79C2514yes—
878C23×C79C2511yescharacteristic
879C23×C79C2512yes—
880C23×C79C2511yescharacteristic
881C23×C79C2511yescharacteristic
882C22×D79—24no—
883C22×D79—42no—
884C22×D79—42no—
885C22×D79C2514yes—
886Q8×C79—42no—
887Q8×C79—42no—
888D4×C79—28no—
889D4×C79—28no—
890D4×C79—28no—
891D4×C79—28no—
892D4×C79—44no—
893D4×C79—42no—
894D4×C79—44no—
895D4×C79—42no—
896C2×C4×C79—24no—
897C2×C4×C79—24no—
898C2×C4×C79—24no—
899C2×C4×C79—42no—
900C2×C4×C79—41no—
901C2×C4×C79—42no—
902C2×C4×C79—41no—
903C2×C4×C79—44no—
904C2×C4×C79—41no—
905C2×C4×C79—42no—
906C2×C4×C79—41no—
907C2×C4×C79—42no—
908C2×C4×C79—44no—
909C2×C4×C79C2514yes—
910C2×C4×C79C2514yes—
911C2×C4×C79C2512yes—
912C2×C4×C79C2512yes—
913C2×C4×C79C2514yes—
914C2×C4×C79C2512yes—
915C2×C4×C79C2512yes—
916C22⋊D79—28no—
917C22⋊D79—28no—
918C22⋊D79—28no—
919C22⋊D79—28no—
920C22⋊D79—28no—
921C22⋊D79—44no—
922C22⋊D79—44no—
923C22⋊D79—44no—
924C22⋊D79—44no—
925C22⋊D79—44no—
926C2×Dic79—22no—
927C2×Dic79—24no—
928C2×Dic79—24no—
929C2×Dic79—24no—
930C2×Dic79—24no—
931C2×Dic79—24no—
932C2×Dic79—24no—
933C2×Dic79—24no—
934C2×Dic79—24no—
935C2×Dic79—24no—
936C2×Dic79—24no—
937C2×Dic79—28no—
938C2×Dic79—41no—
939C2×Dic79—42no—
940C2×Dic79—42no—
941C2×Dic79—42no—
942C2×Dic79—42no—
943C2×Dic79—42no—
944C2×Dic79—41no—
945C2×Dic79—42no—
946C2×Dic79—42no—
947C2×Dic79—42no—
948C2×Dic79—42no—
949C2×Dic79—42no—
950C2×Dic79—44no—
951C2×Dic79—42no—
952C2×Dic79—44no—
953C2×Dic79—44no—
954C2×Dic79H(5,𝔽2)14yes—
955C2×Dic79C2514yes—
956C2×Dic79C2512yes—
957C2×Dic79C2514yes—
958C2×Dic79C2514yes—
959C2×Dic79C2514yes—
960C2×Dic79C2514yes—
961C2×Dic79C2512yes—
962C2×Dic79C2512yes—
963C2×Dic79C2512yes—
964D316—42no—
965D316—42no—
966C4×D79—28no—
967C4×D79—44no—
968C4×D79—44no—
969C4×D79—44no—
970C4×D79—44no—
971C4×D79—44no—
972Dic158—28no—
973Dic158—28no—
974Dic158—28no—
975Dic158—44no—
976Dic158—44no—
977Dic158—44no—
978Dic158—42no—
979Dic158—44no—
980Dic158—44no—
981Dic158—42no—
982C22×C79—28no—
983C22×C79—21no—
984C22×C79—21no—
985C22×C79—22no—
986C22×C79—21no—
987C22×C79—21no—
988C22×C79—21no—
989C22×C79—21no—
990C22×C79—22no—
991C22×C79—24no—
992C22×C79—22no—
993C22×C79—24no—
994C22×C79—22no—
995C22×C79—22no—
996C22×C79—24no—
997C22×C79—44no—
998C22×C79—48no—
999C22×C79—48no—
1000C22×C79—44no—
1001C22×C79—84no—
1002C22×C79C2×H(5,𝔽2)12yes—
1003C22×C79C2×2−1+412yes—
1004C22×C79C2×2−1+414yes—
1005C22×C79#58512yes—
1006C22×C79C2611yescharacteristic
1007C2×D79—24no—
1008C2×D79—24no—
1009C2×D79—24no—
1010C2×D79—84no—
1011C4×C79—22no—
1012C4×C79—22no—
1013C4×C79—24no—
1014C4×C79—24no—
1015C4×C79—22no—
1016C4×C79—22no—
1017C4×C79—24no—
1018Dic79—24no—
1019Dic79—22no—
1020Dic79—24no—
1021Dic79—22no—
1022Dic79—22no—
1023Dic79—24no—
1024Dic79—24no—
1025Dic79—24no—
1026Dic79C2×H(5,𝔽2)14yes—
1027#62819—791nomaximal, Sylow
1028C2×C79—24no—
1029C2×C79—22no—
1030C2×C79—22no—
1031C2×C79—22no—
1032C2×C79—42no—
1033C2×C79—44no—
1034C2×C79C22×H(5,𝔽2)11yescharacteristic
1035C2×C79C22×2−1+411yescharacteristic
1036C2×C79C2×#58511yescharacteristic
1037D79—44no—
1038#3541—794no—
1039#3541—794no—
1040#3538—794no—
1041#3536—794no—
1042#3535—794no—
1043#3535—794no—
1044#3520—794no—
1045#3520—794no—
1046#3505—792no—
1047#3505—792no—
1048#3501—792no—
1049#3501—792no—
1050#3495—794no—
1051#3492—792no—
1052#3492—792no—
1053#3492—792no—
1054#3490—792no—
1055#3490—791no—
1056#3490D7911yescharacteristic, complemented
1057#3489—794no—
1058#3486—792no—
1059C2×#525—792no—
1060C22×C22⋊Q8—791no—
1061C79#6281911yescharacteristic, complemented, Sylow
1062C2×2−1+4—792no—
1063C22×#41—792no—
1064C23×Q8—791no—
1065C24×C4—791no—
1066#563—794no—
1067#563—794no—
1068#563—794no—
1069#563—794no—
1070#562—794no—
1071#562—794no—
1072#562—794no—
1073#562—794no—
1074#556—794no—
1075#556—794no—
1076#554—794no—
1077#554—794no—
1078#554—794no—
1079#554—794no—
1080#554—794no—
1081#554—794no—
1082#554—794no—
1083#554—794no—
1084#554—794no—
1085#554—794no—
1086#554—794no—
1087#554—794no—
1088#553—794no—
1089#553—794no—
1090#553—794no—
1091#553—794no—
1092#553—794no—
1093#553—794no—
1094#552—794no—
1095#552—794no—
1096#552—794no—
1097#552—794no—
1098#552—794no—
1099#552—794no—
1100#552—794no—
1101#552—794no—
1102#552—794no—
1103#552—794no—
1104#551—794no—
1105#551—794no—
1106#551—794no—
1107#551—794no—
1108#551—794no—
1109#551—794no—
1110#551—794no—
1111#551—794no—
1112#551—794no—
1113#551—794no—
1114#551C2×D7914yescomplemented
1115#551C2×D7914yescomplemented
1116D4×Q8—794no—
1117D4×Q8—794no—
1118D4×Q8—794no—
1119D4×Q8—794no—
1120D4×Q8—794no—
1121D4×Q8—794no—
1122#548—794no—
1123#548—794no—
1124#548—794no—
1125#548—794no—
1126#548—794no—
1127#548—794no—
1128#547—794no—
1129#547—794no—
1130#547—794no—
1131#547—794no—
1132#547—794no—
1133#547—794no—
1134#547—794no—
1135#547—794no—
1136#546—794no—
1137#546—794no—
1138#546—794no—
1139#546—794no—
1140#546—794no—
1141#546—794no—
1142#546—794no—
1143#546—794no—
1144#546C2×D7914yescomplemented
1145#546C2×D7914yescomplemented
1146#544—792no—
1147#544—792no—
1148#544—794no—
1149#544—792no—
1150#544—794no—
1151#543—794no—
1152#543—792no—
1153#543—791no—
1154#543—794no—
1155#543C2×D7911yescharacteristic
1156#542—794no—
1157#542—794no—
1158#542—794no—
1159#542—794no—
1160#542—794no—
1161#542—794no—
1162#541—794no—
1163#541—794no—
1164#539—794no—
1165#539—794no—
1166#539—794no—
1167#539—794no—
1168#539—794no—
1169#539—794no—
1170#539—792no—
1171#539—792no—
1172#539—792no—
1173#539—792no—
1174#539—794no—
1175#539—794no—
1176#539—794no—
1177#539—794no—
1178#538—794no—
1179#538—794no—
1180#538—794no—
1181#538—794no—
1182#538—792no—
1183#538—792no—
1184#538C2×D7912yescomplemented
1185#538C2×D7912yescomplemented
1186#537—792no—
1187#537—792no—
1188#537—794no—
1189#537—792no—
1190#537—794no—
1191#536—792no—
1192#536—794no—
1193#536—794no—
1194#536—794no—
1195#536—794no—
1196#536—792no—
1197#534—792no—
1198#534—791no—
1199#534C2×D7911yescharacteristic
1200#533—794no—
1201#533—794no—
1202#529—794no—
1203#529—794no—
1204#525—792no—
1205#525—792no—
1206#525—794no—
1207#525—794no—
1208#525—794no—
1209#525—794no—
1210#525—794no—
1211#525—794no—
1212#525—794no—
1213#525—794no—
1214#525—794no—
1215#525—794no—
1216#525—794no—
1217#525—794no—
1218#525C2×D7912yescomplemented
1219#525C2×D7912yescomplemented
1220C2×#123—792no—
1221C2×#123—792no—
1222C2×C22⋊Q8—794no—
1223C2×C22⋊Q8—794no—
1224C2×C22⋊Q8—792no—
1225C2×C22⋊Q8—792no—
1226C2×C22⋊Q8—794no—
1227C2×C22⋊Q8—794no—
1228C2×C22⋊Q8—794no—
1229C2×C22⋊Q8—792no—
1230C2×C22⋊Q8—792no—
1231C2×C22⋊Q8—792no—
1232C2×C22⋊Q8—792no—
1233C2×C22⋊Q8—794no—
1234C2×#121—792no—
1235C2×#121—792no—
1236C2×#120—792no—
1237C2×#120C2×D7912yes—
1238#520—792no—
1239#520—794no—
1240#520—794no—
1241#520—792no—
1242#519—792no—
1243#518—792no—
1244#518—792no—
1245#518—792no—
1246#518C2×D7912yes—
1247C2×C4×D4—792no—
1248C2×C4×D4—792no—
1249C2×C4×D4—792no—
1250C2×C4×D4—792no—
1251C2×#117—792no—
1252C22×C4⋊C4—791no—
1253C22×C4⋊C4—791no—
1254C22×C4⋊C4—791no—
1255C22×C22⋊C4—791no—
1256C22×C22⋊C4C2×D7911yescharacteristic
1257C25C22×D7911yescharacteristic
12582−1+4—3168no—
1259C2×#41—3168no—
1260C2×#41—794no—
1261C2×#41—794no—
1262C2×#41—794no—
1263C2×#41—794no—
1264C2×#41—794no—
1265C2×#41—794no—
1266C2×#41—794no—
1267C2×#41—792no—
1268C2×#41—792no—
1269C2×#41—794no—
1270C2×#41C22×D7912yes—
1271C2×#41C22×D7912yes—
1272C22×Q8—3164no—
1273C22×Q8—794no—
1274C22×Q8—792no—
1275C22×Q8—792no—
1276C22×Q8—794no—
1277C22×Q8—792no—
1278C22×Q8—792no—
1279C22×Q8—794no—
1280C22×Q8—792no—
1281C22×D4—792no—
1282C22×D4—792no—
1283C22×D4—792no—
1284C22×D4—792no—
1285C22×D4C22×D7912yes—
1286C22×D4C22×D7912yes—
1287C22×D4C22×D7912yes—
1288C23×C4—3164no—
1289C23×C4—791no—
1290C23×C4—791no—
1291C23×C4—791no—
1292C23×C4—792no—
1293C23×C4—792no—
1294C23×C4—792no—
1295C23×C4—792no—
1296C23×C4—792no—
1297C23×C4—792no—
1298C23×C4—792no—
1299C23×C4—791no—
1300C23×C4—792no—
1301C23×C4C22×D7911yescharacteristic
1302C23×C4C22×D7911yescharacteristic
1303C4⋊Q8—794no—
1304C4⋊Q8—794no—
1305C4⋊Q8—794no—
1306C4⋊Q8—794no—
1307C4⋊Q8—794no—
1308C4⋊Q8—794no—
1309C4⋊Q8—794no—
1310C4⋊Q8—794no—
1311C4⋊Q8—794no—
1312C4⋊Q8—794no—
1313C4⋊Q8—794no—
1314C4⋊Q8—794no—
1315#126—794no—
1316#126—794no—
1317#126—794no—
1318#126—794no—
1319#126—794no—
1320#126—794no—
1321#126—794no—
1322#126—794no—
1323#126—794no—
1324#126—794no—
1325#126—794no—
1326#126—794no—
1327#126—794no—
1328#126—794no—
1329#126—794no—
1330#126—794no—
1331#126—794no—
1332#126—794no—
1333#126C22×D7914yes—
1334#126C22×D7914yes—
1335#125—794no—
1336#125—794no—
1337#125—794no—
1338#125—794no—
1339#125—794no—
1340#125—794no—
1341#125—794no—
1342#125—794no—
1343#125—794no—
1344#125—794no—
1345#125—794no—
1346#125—794no—
1347#125—794no—
1348#125—794no—
1349#125—794no—
1350#125—794no—
1351#125—794no—
1352#125—794no—
1353#124—794no—
1354#124—794no—
1355#124—794no—
1356#124—794no—
1357#124—794no—
1358#124—794no—
1359#124—794no—
1360#124—794no—
1361#124—794no—
1362#124—794no—
1363#124—794no—
1364#124—794no—
1365#124C22×D7914yes—
1366#124C22×D7914yes—
1367#123—794no—
1368#123—794no—
1369#123—794no—
1370#123—794no—
1371#123—794no—
1372#123—794no—
1373#123—794no—
1374#123—794no—
1375#123—794no—
1376#123—794no—
1377#123—794no—
1378#123—794no—
1379#123—794no—
1380#123—794no—
1381#123—794no—
1382#123—794no—
1383#123—794no—
1384#123—794no—
1385#123—794no—
1386#123—794no—
1387#123—794no—
1388#123—794no—
1389#123—794no—
1390#123—794no—
1391#123—794no—
1392#123—794no—
1393#123—794no—
1394#123—794no—
1395#123—794no—
1396#123—794no—
1397#123—794no—
1398#123—794no—
1399#123—794no—
1400#123—794no—
1401#123—794no—
1402#123C22×D7914yes—
1403#123C22×D7914yes—
1404#123C22×D7914yes—
1405#123C22×D7914yes—
1406#123C22×D7914yes—
1407C22⋊Q8—794no—
1408C22⋊Q8—794no—
1409C22⋊Q8—794no—
1410C22⋊Q8—794no—
1411C22⋊Q8—792no—
1412C22⋊Q8—792no—
1413C22⋊Q8—792no—
1414C22⋊Q8—792no—
1415C22⋊Q8—794no—
1416C22⋊Q8—794no—
1417C22⋊Q8—794no—
1418C22⋊Q8—794no—
1419C22⋊Q8—794no—
1420C22⋊Q8—794no—
1421C22⋊Q8—794no—
1422C22⋊Q8—794no—
1423C22⋊Q8—794no—
1424C22⋊Q8—794no—
1425C22⋊Q8—794no—
1426C22⋊Q8—794no—
1427C22⋊Q8—794no—
1428C22⋊Q8—794no—
1429C22⋊Q8—794no—
1430C22⋊Q8—794no—
1431C22⋊Q8—794no—
1432C22⋊Q8—794no—
1433C22⋊Q8—794no—
1434C22⋊Q8—794no—
1435C22⋊Q8—794no—
1436C22⋊Q8—794no—
1437C22⋊Q8—794no—
1438C22⋊Q8—794no—
1439C22⋊Q8—794no—
1440C22⋊Q8—794no—
1441C22⋊Q8—794no—
1442C22⋊Q8—794no—
1443C22⋊Q8—794no—
1444C22⋊Q8—794no—
1445C22⋊Q8—794no—
1446C22⋊Q8—794no—
1447C22⋊Q8—794no—
1448C22⋊Q8—794no—
1449C22⋊Q8—794no—
1450C22⋊Q8—794no—
1451C22⋊Q8—794no—
1452C22⋊Q8—794no—
1453C22⋊Q8—794no—
1454C22⋊Q8—794no—
1455C22⋊Q8—794no—
1456C22⋊Q8—794no—
1457C22⋊Q8—794no—
1458C22⋊Q8—794no—
1459C22⋊Q8—794no—
1460C22⋊Q8—794no—
1461C22⋊Q8—794no—
1462C22⋊Q8—794no—
1463C22⋊Q8—794no—
1464C22⋊Q8—794no—
1465C22⋊Q8—794no—
1466C22⋊Q8—794no—
1467C22⋊Q8—794no—
1468C22⋊Q8—794no—
1469C22⋊Q8—794no—
1470C22⋊Q8—794no—
1471C22⋊Q8—794no—
1472C22⋊Q8—794no—
1473C22⋊Q8—794no—
1474C22⋊Q8—794no—
1475C22⋊Q8C22×D7914yes—
1476C22⋊Q8C22×D7912yes—
1477C22⋊Q8C22×D7912yes—
1478C22⋊Q8C22×D7912yes—
1479C22⋊Q8C22×D7912yes—
1480C22⋊Q8C22×D7914yes—
1481#121—794no—
1482#121—794no—
1483#121—794no—
1484#121—794no—
1485#121—794no—
1486#121—794no—
1487#121—794no—
1488#121—794no—
1489#121—794no—
1490#121—794no—
1491#121—794no—
1492#121—794no—
1493#121—794no—
1494#121—794no—
1495#121—794no—
1496#121—794no—
1497#121—794no—
1498#121—794no—
1499#121—794no—
1500#121—792no—
1501#121—792no—
1502#121—792no—
1503#121—792no—
1504#121—794no—
1505#121—794no—
1506#121—794no—
1507#121—794no—
1508#121—794no—
1509#121C22×D7912yes—
1510#121C22×D7912yes—
1511#121C22×D7912yes—
1512#121C22×D7912yes—
1513#121C22×D7914yes—
1514#121C22×D7914yes—
1515#120—794no—
1516#120—794no—
1517#120—794no—
1518#120—794no—
1519#120—794no—
1520#120—794no—
1521#120—794no—
1522#120C22×D7914yes—
1523#120C22×D7914yes—
1524#120C22×D7914yes—
1525#120C22×D7914yes—
1526#120C22×D7914yes—
1527C4×Q8—794no—
1528C4×Q8—794no—
1529C4×Q8—794no—
1530C4×Q8—794no—
1531C4×Q8—794no—
1532C4×Q8—794no—
1533C4×Q8—794no—
1534C4×Q8—794no—
1535C4×Q8—794no—
1536C4×Q8—794no—
1537C4×D4—794no—
1538C4×D4—794no—
1539C4×D4—794no—
1540C4×D4—794no—
1541C4×D4—794no—
1542C4×D4—794no—
1543C4×D4—794no—
1544C4×D4—794no—
1545C4×D4—794no—
1546C4×D4—794no—
1547C4×D4—794no—
1548C4×D4—794no—
1549C4×D4—794no—
1550C4×D4—794no—
1551C4×D4—794no—
1552C4×D4—794no—
1553C4×D4—794no—
1554C4×D4—794no—
1555C4×D4—794no—
1556C4×D4—794no—
1557C4×D4—794no—
1558C4×D4—794no—
1559C4×D4—794no—
1560C4×D4—794no—
1561C4×D4—794no—
1562C4×D4—794no—
1563C4×D4—794no—
1564C4×D4—794no—
1565C4×D4—794no—
1566C4×D4—794no—
1567C4×D4—794no—
1568C4×D4—794no—
1569C4×D4—794no—
1570C4×D4—794no—
1571C4×D4—794no—
1572C4×D4—794no—
1573C4×D4—794no—
1574C4×D4—794no—
1575C4×D4—794no—
1576C4×D4—794no—
1577C4×D4C22×D7914yes—
1578C4×D4C22×D7914yes—
1579C4×D4C22×D7914yes—
1580C4×D4C22×D7914yes—
1581C4×D4C22×D7914yes—
1582C4×D4C22×D7914yes—
1583#117—794no—
1584#117—792no—
1585#117—792no—
1586#117—794no—
1587#117—794no—
1588#117—794no—
1589#117—794no—
1590#117—794no—
1591#117—794no—
1592#117—794no—
1593#117—794no—
1594#117—794no—
1595#117—794no—
1596#117—794no—
1597#117—794no—
1598#117—794no—
1599#117—794no—
1600#117C22×D7914yes—
1601#117C22×D7912yes—
1602#117C22×D7912yes—
1603C2×C4⋊C4—792no—
1604C2×C4⋊C4—792no—
1605C2×C4⋊C4—792no—
1606C2×C4⋊C4—792no—
1607C2×C4⋊C4—792no—
1608C2×C4⋊C4—792no—
1609C2×C4⋊C4—794no—
1610C2×C4⋊C4—794no—
1611C2×C4⋊C4—794no—
1612C2×C4⋊C4—792no—
1613C2×C4⋊C4—792no—
1614C2×C4⋊C4—792no—
1615C2×C4⋊C4—792no—
1616C2×C4⋊C4—792no—
1617C2×C4⋊C4—792no—
1618C2×C4⋊C4—792no—
1619C2×C4⋊C4—792no—
1620C2×C4⋊C4—792no—
1621C2×C4⋊C4—792no—
1622C2×C4⋊C4—792no—
1623C2×C4⋊C4—792no—
1624C2×C4⋊C4—794no—
1625C2×C4⋊C4—794no—
1626C2×C4⋊C4—794no—
1627C2×C4⋊C4—794no—
1628C2×C4⋊C4—794no—
1629C2×C4⋊C4—794no—
1630C2×C22⋊C4—792no—
1631C2×C22⋊C4—792no—
1632C2×C22⋊C4—794no—
1633C2×C22⋊C4—794no—
1634C2×C22⋊C4—792no—
1635C2×C22⋊C4—792no—
1636C2×C22⋊C4—792no—
1637C2×C22⋊C4—792no—
1638C2×C22⋊C4—792no—
1639C2×C22⋊C4—794no—
1640C2×C22⋊C4—792no—
1641C2×C22⋊C4—792no—
1642C2×C22⋊C4—794no—
1643C2×C22⋊C4—794no—
1644C2×C22⋊C4C22×D7911yescharacteristic
1645C2×C22⋊C4C22×D7911yescharacteristic
1646C2×C22⋊C4C22×D7911yescharacteristic
1647C2×C22⋊C4C22×D7911yescharacteristic
1648C2×C22⋊C4C22×D7914yes—
1649C2×C22⋊C4C22×D7914yes—
1650C2×C22⋊C4C22×D7912yes—
1651C2×C22⋊C4C22×D7912yes—
1652C2×C22⋊C4C22×D7912yes—
1653C2×C22⋊C4C22×D7914yes—
1654C2×C42—792no—
1655C2×C42—792no—
1656C24—24no—
1657C24—42no—
1658C24—42no—
1659C24—792no—
1660C24C23×D7911yescharacteristic
1661C24C23×D7912yes—
1662C24C23×D7912yes—
1663C24C23×D7912yes—
1664C24C23×D7911yescharacteristic
1665C24C23×D7911yescharacteristic
1666#41—44no—
1667#41—44no—
1668#41—3164no—
1669#41—3164no—
1670#41—3168no—
1671#41—3168no—
1672#41—3168no—
1673#41—3168no—
1674#41—3168no—
1675#41—3168no—
1676#41—3168no—
1677#41—15816no—
1678C2×Q8—3164no—
1679C2×Q8—3164no—
1680C2×Q8—3168no—
1681C2×Q8—3164no—
1682C2×Q8—3164no—
1683C2×Q8—3168no—
1684C2×Q8—3168no—
1685C2×Q8—792no—
1686C2×Q8—794no—
1687C2×Q8—794no—
1688C2×Q8—794no—
1689C2×Q8—794no—
1690C2×Q8—794no—
1691C2×Q8—792no—
1692C2×Q8—794no—
1693C2×Q8—794no—
1694C2×Q8—794no—
1695C2×Q8—1588no—
1696C2×Q8C23×D7912yes—
1697C2×Q8C23×D7912yes—
1698C2×D4—28no—
1699C2×D4—44no—
1700C2×D4—44no—
1701C2×D4—3164no—
1702C2×D4—3164no—
1703C2×D4—3164no—
1704C2×D4—794no—
1705C2×D4—794no—
1706C2×D4—794no—
1707C2×D4—794no—
1708C2×D4—794no—
1709C2×D4—794no—
1710C2×D4—794no—
1711C2×D4—794no—
1712C2×D4—794no—
1713C2×D4—794no—
1714C2×D4—792no—
1715C2×D4—792no—
1716C2×D4—1588no—
1717C2×D4C23×D7914yes—
1718C2×D4C23×D7914yes—
1719C2×D4C23×D7914yes—
1720C2×D4C23×D7914yes—
1721C2×D4C23×D7912yes—
1722C2×D4C23×D7914yes—
1723C2×D4C23×D7912yes—
1724C2×D4C23×D7914yes—
1725C22×C4—42no—
1726C22×C4—42no—
1727C22×C4—3164no—
1728C22×C4—3164no—
1729C22×C4—3162no—
1730C22×C4—3162no—
1731C22×C4—3162no—
1732C22×C4—3164no—
1733C22×C4—3164no—
1734C22×C4—3164no—
1735C22×C4—3164no—
1736C22×C4—3164no—
1737C22×C4—792no—
1738C22×C4—792no—
1739C22×C4—792no—
1740C22×C4—792no—
1741C22×C4—792no—
1742C22×C4—792no—
1743C22×C4—792no—
1744C22×C4—792no—
1745C22×C4—794no—
1746C22×C4—794no—
1747C22×C4—791no—
1748C22×C4—792no—
1749C22×C4—791no—
1750C22×C4—794no—
1751C22×C4—792no—
1752C22×C4—792no—
1753C22×C4—794no—
1754C22×C4—794no—
1755C22×C4—794no—
1756C22×C4—794no—
1757C22×C4—794no—
1758C22×C4—791no—
1759C22×C4—792no—
1760C22×C4—792no—
1761C22×C4—792no—
1762C22×C4—792no—
1763C22×C4—792no—
1764C22×C4—792no—
1765C22×C4—792no—
1766C22×C4—792no—
1767C22×C4—791no—
1768C22×C4—794no—
1769C22×C4—792no—
1770C22×C4—792no—
1771C22×C4—794no—
1772C22×C4—1584no—
1773C22×C4—1588no—
1774C22×C4C23×D7912yes—
1775C22×C4C23×D7912yes—
1776C22×C4C23×D7912yes—
1777C22×C4C23×D7912yes—
1778C22×C4C23×D7911yescharacteristic
1779C22×C4C23×D7912yes—
1780C22×C4C23×D7911yescharacteristic
1781C22×C4C23×D7911yescharacteristic
1782C22×C4C23×D7912yes—
1783C22×C4C23×D7912yes—
1784C22×C4C23×D7911yescharacteristic
1785C22×C4C23×D7914yes—
1786C22×C4C23×D7914yes—
1787C4⋊C4—794no—
1788C4⋊C4—794no—
1789C4⋊C4—794no—
1790C4⋊C4—794no—
1791C4⋊C4—794no—
1792C4⋊C4—794no—
1793C4⋊C4—794no—
1794C4⋊C4—794no—
1795C4⋊C4—794no—
1796C4⋊C4—794no—
1797C4⋊C4—794no—
1798C4⋊C4—794no—
1799C4⋊C4—794no—
1800C4⋊C4—794no—
1801C4⋊C4—794no—
1802C4⋊C4—794no—
1803C4⋊C4—794no—
1804C4⋊C4—794no—
1805C4⋊C4—794no—
1806C4⋊C4—794no—
1807C4⋊C4—794no—
1808C4⋊C4—794no—
1809C4⋊C4—794no—
1810C4⋊C4—794no—
1811C4⋊C4—794no—
1812C4⋊C4—794no—
1813C4⋊C4—794no—
1814C4⋊C4—794no—
1815C4⋊C4—794no—
1816C4⋊C4—794no—
1817C4⋊C4—794no—
1818C4⋊C4—794no—
1819C4⋊C4—794no—
1820C4⋊C4—792no—
1821C4⋊C4—794no—
1822C4⋊C4—794no—
1823C4⋊C4—794no—
1824C4⋊C4—794no—
1825C4⋊C4—794no—
1826C4⋊C4—792no—
1827C4⋊C4—794no—
1828C4⋊C4—794no—
1829C4⋊C4—792no—
1830C4⋊C4—792no—
1831C4⋊C4C23×D7912yes—
1832C4⋊C4C23×D7914yes—
1833C4⋊C4C23×D7914yes—
1834C4⋊C4C23×D7912yes—
1835C4⋊C4C23×D7914yes—
1836C4⋊C4C23×D7914yes—
1837C4⋊C4C23×D7912yes—
1838C4⋊C4C23×D7912yes—
1839C22⋊C4—794no—
1840C22⋊C4—794no—
1841C22⋊C4—794no—
1842C22⋊C4—794no—
1843C22⋊C4—794no—
1844C22⋊C4—794no—
1845C22⋊C4—794no—
1846C22⋊C4—794no—
1847C22⋊C4—794no—
1848C22⋊C4—794no—
1849C22⋊C4—794no—
1850C22⋊C4—794no—
1851C22⋊C4—794no—
1852C22⋊C4—794no—
1853C22⋊C4—794no—
1854C22⋊C4—794no—
1855C22⋊C4—794no—
1856C22⋊C4—794no—
1857C22⋊C4—794no—
1858C22⋊C4—794no—
1859C22⋊C4—794no—
1860C22⋊C4—794no—
1861C22⋊C4—794no—
1862C22⋊C4—794no—
1863C22⋊C4—794no—
1864C22⋊C4—794no—
1865C22⋊C4—794no—
1866C22⋊C4—794no—
1867C22⋊C4—794no—
1868C22⋊C4—794no—
1869C22⋊C4C23×D7914yes—
1870C22⋊C4C23×D7914yes—
1871C22⋊C4C23×D7914yes—
1872C22⋊C4C23×D7914yes—
1873C22⋊C4C23×D7914yes—
1874C22⋊C4C23×D7914yes—
1875C22⋊C4C23×D7914yes—
1876C22⋊C4C23×D7914yes—
1877C22⋊C4C23×D7914yes—
1878C22⋊C4C23×D7914yes—
1879C22⋊C4C23×D7914yes—
1880C22⋊C4C23×D7914yes—
1881C22⋊C4C23×D7914yes—
1882C22⋊C4C23×D7914yes—
1883C42—794no—
1884C42—794no—
1885C42—794no—
1886C42—794no—
1887C42—794no—
1888C42—794no—
1889C42—794no—
1890C42—794no—
1891C42—794no—
1892C42—794no—
1893C42C23×D7914yes—
1894C42C23×D7914yes—
1895C23—22no—
1896C23—22no—
1897C23—22no—
1898C23—24no—
1899C23—24no—
1900C23—24no—
1901C23—22no—
1902C23—24no—
1903C23—24no—
1904C23—41no—
1905C23—42no—
1906C23—41no—
1907C23—41no—
1908C23—42no—
1909C23—41no—
1910C23—42no—
1911C23—42no—
1912C23—416no—
1913C23—3162no—
1914C23—3162no—
1915C23—794no—
1916C23—1584no—
1917C23#1457920814yescomplemented
1918C23C24×D7912yes—
1919C23C24×D7914yes—
1920C23C24×D7911yescharacteristic
1921C23C24×D7912yes—
1922C23C24×D7911yescharacteristic
1923C23C24×D7911yescharacteristic
1924Q8—42no—
1925Q8—42no—
1926Q8—3164no—
1927Q8—3164no—
1928Q8—3162no—
1929Q8—3164no—
1930Q8—3164no—
1931Q8—3162no—
1932Q8—3164no—
1933Q8—1588no—
1934Q8—1588no—
1935Q8—1588no—
1936D4—28no—
1937D4—28no—
1938D4—28no—
1939D4—28no—
1940D4—44no—
1941D4—44no—
1942D4—42no—
1943D4—42no—
1944D4—3162no—
1945D4—3162no—
1946D4—3164no—
1947D4—3164no—
1948D4—3164no—
1949D4—3164no—
1950D4—3164no—
1951D4—1588no—
1952D4—1588no—
1953D4—1588no—
1954D4—1588no—
1955D4—1588no—
1956C2×C4—24no—
1957C2×C4—24no—
1958C2×C4—24no—
1959C2×C4—41no—
1960C2×C4—42no—
1961C2×C4—41no—
1962C2×C4—41no—
1963C2×C4—42no—
1964C2×C4—41no—
1965C2×C4—42no—
1966C2×C4—42no—
1967C2×C4—44no—
1968C2×C4—44no—
1969C2×C4—3164no—
1970C2×C4—3164no—
1971C2×C4—3164no—
1972C2×C4—3164no—
1973C2×C4—3164no—
1974C2×C4—3161no—
1975C2×C4—3162no—
1976C2×C4—3162no—
1977C2×C4—3162no—
1978C2×C4—3161no—
1979C2×C4—3162no—
1980C2×C4—3162no—
1981C2×C4—3162no—
1982C2×C4—3162no—
1983C2×C4—3162no—
1984C2×C4—3164no—
1985C2×C4—3162no—
1986C2×C4—3162no—
1987C2×C4—3162no—
1988C2×C4—3164no—
1989C2×C4—3164no—
1990C2×C4—794no—
1991C2×C4—792no—
1992C2×C4—794no—
1993C2×C4—794no—
1994C2×C4—792no—
1995C2×C4—794no—
1996C2×C4—794no—
1997C2×C4—794no—
1998C2×C4—792no—
1999C2×C4—792no—
2000C2×C4—1588no—
2001C2×C4—1584no—
2002C2×C4—1584no—
2003C2×C4—1584no—
2004C2×C4—1584no—
2005C2×C4—1584no—
2006C2×C4—1584no—
2007C2×C4—1588no—
2008C2×C4—1582no—
2009C2×C4—1584no—
2010C2×C4—1584no—
2011C2×C4—1584no—
2012C2×C4—1584no—
2013C2×C4C24×D7914yes—
2014C2×C4C24×D7914yes—
2015C2×C4C24×D7912yes—
2016C2×C4C24×D7912yes—
2017C2×C4C24×D7914yes—
2018C2×C4C24×D7912yes—
2019C2×C4C24×D7912yes—
2020C22—28no—
2021C22—21no—
2022C22—21no—
2023C22—22no—
2024C22—21no—
2025C22—21no—
2026C22—21no—
2027C22—21no—
2028C22—22no—
2029C22—24no—
2030C22—22no—
2031C22—24no—
2032C22—22no—
2033C22—24no—
2034C22—22no—
2035C22—44no—
2036C22—48no—
2037C22—48no—
2038C22—44no—
2039C22—84no—
2040C22—6324no—
2041C22—1584no—
2042C22—1584no—
2043C22—1584no—
2044C22H(5,𝔽2)×D7912yes—
2045C22C2×#1457920814yes—
2046C22C2×#1457920812yes—
2047C22#1909939812yes—
2048C22C25×D7911yescharacteristic
2049C4—22no—
2050C4—22no—
2051C4—24no—
2052C4—24no—
2053C4—22no—
2054C4—22no—
2055C4—24no—
2056C4—794no—
2057C4—1582no—
2058C4—1582no—
2059C4—1582no—
2060C4—1584no—
2061C4—1584no—
2062C4—1584no—
2063C4—1584no—
2064C4—1584no—
2065C2—22no—
2066C2—22no—
2067C2—22no—
2068C2—24no—
2069C2—42no—
2070C2—44no—
2071C2—3164no—
2072C2C2×H(5,𝔽2)×D7911yescharacteristic
2073C2C22×#1457920811yescharacteristic
2074C2C2×#1909939811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3490C2
hypercenter#3490D79
hypocenterC79#62819
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3490

Complements

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

NH ≅ G/Ntype
1. #23777688C2semidirect
2. #23777680C2semidirect
3. #23777640C2semidirect
4. #23777615C2semidirect
5. #23777605C2semidirect
6. #23777597C2semidirect
7. #23777438C2semidirect
8. #23777436C2semidirect
9. #23777237C2semidirect
10. #23777230C2semidirect
11. #23777200C2semidirect
12. #23777198C2semidirect
13. #23777139C2semidirect
14. #23777106C2semidirect
15. #23777101C2semidirect
16. #23777101C2semidirect
17. #23777089C2semidirect
18. #23777087C2semidirect
19. #23777071C2semidirect
20. #23777047C2semidirect
21. C2×#19099069C2semidirect
22. C22×#14579138C2semidirect
23. C79×#3490C2semidirect
24. C2×#14579208C22semidirect
25. C22×#11929623C22semidirect
26. C23×Dic158C22semidirect
28. #19099316C22semidirect
29. #19099315C22semidirect
30. #19099315C22semidirect
31. #19099313C22semidirect
32. #19099310C22semidirect
33. #19099308C22semidirect
34. #19099308C22semidirect
35. #19099307C22semidirect
36. #19099282C22semidirect
37. #19099280C22semidirect
38. #19099272C22semidirect
39. #19099272C22semidirect
40. #19099272C22semidirect
41. #19099272C22semidirect
42. #19099271C22semidirect
43. #19099271C22semidirect
44. #19099270C22semidirect
45. #19099270C22semidirect
46. #19099267C22semidirect
47. #19099267C22semidirect
48. #19099267C22semidirect
49. #19099267C22semidirect
50. #19099265C22semidirect
51. #19099262C22semidirect
52. #19099262C22semidirect
53. #19099259C22semidirect
54. #19099256C22semidirect
55. #19099256C22semidirect
56. #19099255C22semidirect
57. #19099253C22semidirect
58. #19099250C22semidirect
59. #19099250C22semidirect
60. #19099250C22semidirect
61. #19099250C22semidirect
62. #19099249C22semidirect
63. #19099246C22semidirect
64. #19099246C22semidirect
65. #19099246C22semidirect
66. #19099244C22semidirect
67. #19099244C22semidirect
68. #19099244C22semidirect
69. #19099239C22semidirect
70. #19099239C22semidirect
71. #19099239C22semidirect
72. #19099239C22semidirect
73. #19099239C22semidirect
74. #19099237C22semidirect
75. #19099236C22semidirect
76. D4×Dic158C22semidirect
77. D4×Dic158C22semidirect
78. D4×Dic158C22semidirect
79. #19099226C22semidirect
80. #19099226C22semidirect
81. #19099226C22semidirect
82. #19099222C22semidirect
83. #19099222C22semidirect
84. #19099221C22semidirect
85. #19099219C22semidirect
86. #19099219C22semidirect
87. #19099219C22semidirect
88. #19099217C22semidirect
89. #19099213C22semidirect
90. #19099213C22semidirect
91. #19099212C22semidirect
92. #19099212C22semidirect
93. #19099211C22semidirect
94. #19099211C22semidirect
95. #19099211C22semidirect
96. #19099207C22semidirect
97. #19099207C22semidirect
98. #19099203C22semidirect
99. #19099203C22semidirect
100. #19099203C22semidirect
101. #19099200C22semidirect
102. #19099200C22semidirect
103. #19099200C22semidirect
104. #19099192C22semidirect
105. #19099192C22semidirect
106. #19099192C22semidirect
107. #19099191C22semidirect
108. #19099191C22semidirect
111. #19099189C22semidirect
112. #19099188C22semidirect
113. #19099182C22semidirect
114. #19099181C22semidirect
115. #19099180C22semidirect
116. #19099179C22semidirect
117. #19099177C22semidirect
118. #19099177C22semidirect
119. #19099170C22semidirect
120. #19099170C22semidirect
121. #19099162C22semidirect
122. #19099162C22semidirect
123. #19099158C22semidirect
124. #19099158C22semidirect
125. #19099158C22semidirect
126. #19099157C22semidirect
127. #19099157C22semidirect
128. #19099157C22semidirect
129. #19099157C22semidirect
130. #19099156C22semidirect
131. #19099155C22semidirect
132. #19099155C22semidirect
133. #19099155C22semidirect
134. #19099154C22semidirect
135. #19099151C22semidirect
136. #19099151C22semidirect
137. #19099148C22semidirect
138. #19099148C22semidirect
139. #19099148C22semidirect
140. #19099146C22semidirect
141. #19099142C22semidirect
142. #19099141C22semidirect
143. #19099140C22semidirect
144. #19099140C22semidirect
145. #19099140C22semidirect
146. #19099139C22semidirect
147. #19099135C22semidirect
148. #19099135C22semidirect
149. #19099135C22semidirect
150. #19099134C22semidirect
151. #19099133C22semidirect
154. #19099116C22semidirect
155. #19099115C22semidirect
156. #19099093C22semidirect
157. #19099090C22semidirect
158. #19099074C22semidirect
159. #19099074C22semidirect
160. #19099072C22semidirect
165. #19099069C22semidirect
166. #19099069C22semidirect
167. #19099069C22semidirect
168. #19099069C22semidirect
169. #19099069C22semidirect
170. #19099069C22semidirect
171. #19099069C22semidirect
172. C2×#14579145C22semidirect
173. C2×#14579142C22semidirect
177. C2×#14579138C22semidirect
178. C2×#14579138C22semidirect
179. C2×#14579138C22semidirect
180. C2×#14579138C22semidirect
181. C2×#14579138C22semidirect
182. C2×#14579138C22semidirect
183. C2×#14579138C22semidirect
184. C2×#14579138C22semidirect
185. C22⋊Q8×D79C22semidirect
187. C2×#14579133C22semidirect
189. #19099046C22semidirect
190. #19099043C22semidirect
191. #19099042C22semidirect
192. #19099042C22semidirect
193. #19099040C22semidirect
198. C2×D4×Dic79C22semidirect
200. C2×(C22⋊D79)⋊C4C22semidirect
201. C2×#14579117C22semidirect
202. C22×C4⋊Dic79C22semidirect
203. C22×Dic79⋊C4C22semidirect
204. C22×Dic79⋊C4C22semidirect
206. #551×C79C22semidirect
207. #551×C79C22semidirect
208. #546×C79C22semidirect
209. #546×C79C22semidirect
211. #538×C79C22semidirect
212. #538×C79C22semidirect
214. #525×C79C22semidirect
215. #525×C79C22semidirect
222. C2×#11929624C23semidirect
230. C2×#11929623C23semidirect
238. C22×Dic158C23semidirect
239. C2×Q8×D79C23semidirect
257. #14579161C23semidirect
258. #14579161C23semidirect
259. #14579160C23semidirect
260. #14579160C23semidirect
261. #14579160C23semidirect
262. #14579160C23semidirect
263. #14579160C23semidirect
264. #14579160C23semidirect
265. #14579160C23semidirect
266. #14579159C23semidirect
267. #14579159C23semidirect
268. #14579159C23semidirect
269. #14579156C23semidirect
270. #14579156C23semidirect
271. #14579156C23semidirect
272. #14579156C23semidirect
273. #14579155C23semidirect
274. #14579155C23semidirect
281. #14579154C23semidirect
282. #14579154C23semidirect
283. #14579154C23semidirect
284. #14579154C23semidirect
285. #14579154C23semidirect
286. #14579154C23semidirect
287. #14579153C23semidirect
288. #14579153C23semidirect
289. #14579153C23semidirect
290. #14579152C23semidirect
291. #14579152C23semidirect
292. #14579152C23semidirect
293. #14579152C23semidirect
294. #14579152C23semidirect
295. #14579151C23semidirect
296. #14579151C23semidirect
297. #14579151C23semidirect
298. #14579151C23semidirect
299. #14579151C23semidirect
300. #14579151C23semidirect
301. #14579151C23semidirect
302. #14579151C23semidirect
303. #14579151C23semidirect
304. #14579151C23semidirect
305. #14579149C23semidirect
308. #14579148C23semidirect
313. #14579147C23semidirect
314. #14579147C23semidirect
315. #14579147C23semidirect
316. #14579147C23semidirect
317. #14579146C23semidirect
318. #14579146C23semidirect
326. #14579145C23semidirect
327. #14579145C23semidirect
331. #14579144C23semidirect
332. #14579144C23semidirect
337. #14579143C23semidirect
338. #14579143C23semidirect
339. #14579143C23semidirect
340. #14579143C23semidirect
350. #14579142C23semidirect
351. #14579142C23semidirect
352. #14579141C23semidirect
353. #14579141C23semidirect
354. #14579141C23semidirect
355. #14579141C23semidirect
362. #14579140C23semidirect
363. #14579140C23semidirect
364. #14579140C23semidirect
365. #14579140C23semidirect
366. #14579140C23semidirect
367. #14579139C23semidirect
368. #14579139C23semidirect
369. #14579139C23semidirect
370. #14579139C23semidirect
371. #14579139C23semidirect
372. #14579139C23semidirect
373. #14579139C23semidirect
374. #14579139C23semidirect
407. #14579138C23semidirect
408. #14579138C23semidirect
409. #14579138C23semidirect
410. #14579138C23semidirect
411. #14579138C23semidirect
412. #14579138C23semidirect
413. #14579138C23semidirect
414. #14579138C23semidirect
415. #14579138C23semidirect
416. #14579138C23semidirect
417. #14579137C23semidirect
418. #14579137C23semidirect
419. #14579137C23semidirect
424. #14579135C23semidirect
427. #14579134C23semidirect
428. #14579134C23semidirect
443. #14579133C23semidirect
444. #14579133C23semidirect
447. #14579132C23semidirect
455. Q8×Dic79C23semidirect
456. C4×Dic158C23semidirect
457. C4×Dic158C23semidirect
458. C4×Dic158C23semidirect
459. C4×Dic158C23semidirect
460. C4×Dic158C23semidirect
461. #14579126C23semidirect
462. #14579126C23semidirect
463. #14579126C23semidirect
464. #14579126C23semidirect
465. C4×D316C23semidirect
480. D4×Dic79C23semidirect
487. C4×C22⋊D79C23semidirect
488. C4×C22⋊D79C23semidirect
503. (C22⋊D79)⋊C4C23semidirect
504. (C22⋊D79)⋊C4C23semidirect
508. #14579120C23semidirect
509. #14579119C23semidirect
510. #14579118C23semidirect
511. #14579118C23semidirect
520. #14579117C23semidirect
521. #14579117C23semidirect
529. C2×C4⋊Dic79C23semidirect
544. C2×Dic79⋊C4C23semidirect
545. C2×Dic79⋊C4C23semidirect
546. C4⋊C4×D79C23semidirect
547. C4⋊C4×D79C23semidirect
548. C4⋊C4×D79C23semidirect
875. C23×C792−1+4semidirect
1056. #3490D79semidirect
1061. C79#62819semidirect
1114. #551C2×D79semidirect
1115. #551C2×D79semidirect
1144. #546C2×D79semidirect
1145. #546C2×D79semidirect
1184. #538C2×D79semidirect
1185. #538C2×D79semidirect
1218. #525C2×D79semidirect
1219. #525C2×D79semidirect
1917. C23#14579208semidirect

Maximal subgroups

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

subgroupindex
#237776882
#237776802
#237776402
#237776152
#237776052
#237775972
#237774382
#237774362
#237772372
#237772302
#237772002
#237771982
#237771392
#237771062
#237771012
#237770892
#237770872
#237770712
#237770472
C2×#190990692
C22×#145791382
C79×#34902
#6281979