Finite Group Databasebeta

← #35197324

Subgroups — #35197324

Order 20224.

7106 conjugacy classes of subgroups.

The subgroup lattice has 2166 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777461C214yesmaximal, complemented
2#23777459C214yesmaximal, complemented
3#23777442C214yesmaximal, complemented
4#23777438C214yesmaximal, complemented
5#23777371C214yesmaximal, complemented
6#23777367C214yesmaximal, complemented
7#23777333C214yesmaximal, complemented
8#23777331C214yesmaximal, complemented
9#23777260C212yesmaximal, complemented
10#23777239C211yesmaximal, characteristic, complemented
11#23777238C212yesmaximal, complemented
12#23777196C211yesmaximal, characteristic, complemented
13#23777157C211yesmaximal, characteristic, complemented
14#23777101C212yesmaximal, complemented
15#23777093C212yesmaximal, complemented
16#23777092C212yesmaximal, complemented
17#23777041C212yesmaximal, complemented
18#23776829C212yesmaximal, complemented
19#23776807C212yesmaximal, complemented
20#23776806C212yesmaximal, complemented
21#23776782C212yesmaximal, complemented
22C2×#19099162C211yesmaximal, characteristic, complemented
23C2×#19099158C211yesmaximal, characteristic, complemented
24#539×D79C212yesmaximal, complemented
25#23776604C212yesmaximal, complemented
26C2×#19099042C211yesmaximal, characteristic, complemented
27C79×#3505C211yesmaximal, characteristic, complemented
28C2×#14579206C2212yes—
29C22×#11929623C2211yescharacteristic
30#19099297C2214yescomplemented
31#19099290C2214yescomplemented
32#19099284C2214yescomplemented
33#19099280C2214yescomplemented
34#19099280C2214yescomplemented
35#19099272C2214yescomplemented
36#19099271C2212yescomplemented
37#19099268C2214yescomplemented
38#19099268C2212yescomplemented
39#19099267C2214yescomplemented
40#19099267C2214yescomplemented
41#19099267C2214yescomplemented
42#19099264C2214yescomplemented
43#19099262C2214yescomplemented
44#19099262C2214yescomplemented
45#19099260C2214yescomplemented
46#19099259C2212yescomplemented
47#19099258C2214yescomplemented
48#19099256C2214yescomplemented
49#19099254C2214yescomplemented
50#19099253C2214yescomplemented
51#19099253C2214yescomplemented
52#19099253C2212yescomplemented
53#19099252C2214yescomplemented
54#19099250C2214yescomplemented
55#19099250C2214yescomplemented
56#19099249C2214yescomplemented
57#19099249C2214yescomplemented
58#19099246C2214yescomplemented
59#19099246C2214yescomplemented
60#19099246C2214yescomplemented
61#19099245C2214yescomplemented
62#19099245C2214yescomplemented
63#19099243C2214yescomplemented
64#19099243C2214yescomplemented
65#19099242C2214yescomplemented
66#19099242C2214yescomplemented
67#19099242C2214yescomplemented
68#19099242C2214yescomplemented
69#19099239C2214yescomplemented
70#19099239C2214yescomplemented
71#19099238C2214yescomplemented
72#19099237C2214yescomplemented
73#19099236C2214yescomplemented
74Q8×C22⋊D79C2212yescomplemented
75#19099226C2212yescomplemented
76#19099222C2212yescomplemented
77#19099221C2214yescomplemented
78#19099214C2212yescomplemented
79#19099213C2214yescomplemented
80#19099213C2214yescomplemented
81#19099213C2212yescomplemented
82#19099212C2214yescomplemented
83#19099211C2214yescomplemented
84#19099211C2214yescomplemented
85#19099211C2214yescomplemented
86#19099209C2212yescomplemented
87#19099203C2214yescomplemented
88#19099202C2214yescomplemented
89#19099202C2214yescomplemented
90#19099202C2214yescomplemented
91#19099202C2214yescomplemented
92#19099200C2214yescomplemented
93#19099200C2214yescomplemented
94#19099197C2212yescomplemented
95D4×C22⋊D79C2212yescomplemented
96#19099192C2212yescomplemented
97#19099189C2212yescomplemented
98#19099188C2212yescomplemented
99#19099181C2214yescomplemented
100#19099179C2214yescomplemented
101#19099177C2214yescomplemented
102#19099177C2214yescomplemented
103#19099172C2214yescomplemented
104#19099170C2214yescomplemented
105#19099170C2214yescomplemented
106#19099163C2214yescomplemented
107#19099162C2212yescomplemented
108#19099162C2212yescomplemented
109#19099162C2214yescomplemented
110#19099162C2212yescomplemented
111#19099162C2214yescomplemented
112#19099162C2212yescomplemented
113#19099161C2214yescomplemented
114#19099160C2212yescomplemented
115#19099159C2214yescomplemented
116#19099159C2214yescomplemented
117#19099158C2212yescomplemented
118#19099158C2214yescomplemented
119#19099158C2212yescomplemented
120#19099158C2214yescomplemented
121#19099158C2212yescomplemented
122#19099158C2214yescomplemented
123#19099158C2212yescomplemented
124#19099157C2214yescomplemented
125#19099157C2214yescomplemented
126#19099156C2214yescomplemented
127#19099156C2214yescomplemented
128#19099155C2214yescomplemented
129#19099155C2214yescomplemented
130#19099154C2214yescomplemented
131#19099151C2212yescomplemented
132#19099150C2214yescomplemented
133#19099149C2214yescomplemented
134#19099148C2214yescomplemented
135#19099148C2214yescomplemented
136#19099145C2214yescomplemented
137#19099140C2212yes—
138#19099135C2214yescomplemented
139#19099123C2214yescomplemented
140#19099122C2212yes—
141#19099122C2212yescomplemented
142#19099121C2212yes—
143#19099117C2214yescomplemented
144#19099116C2214yescomplemented
145#19099115C2212yescomplemented
146#19099108C2212yes—
147#19099097C2212yescomplemented
148#19099096C2214yescomplemented
149#19099095C2214yescomplemented
150#19099094C2214yescomplemented
151#19099094C2214yescomplemented
152#19099093C2214yescomplemented
153#19099093C2214yescomplemented
154#19099093C2214yescomplemented
155#19099092C2214yescomplemented
156#19099091C2214yescomplemented
157#19099091C2214yescomplemented
158#19099090C2214yescomplemented
159#19099090C2214yescomplemented
160#19099090C2214yescomplemented
161C2×#14579156C2212yescomplemented
162C2×#14579154C2212yescomplemented
163#126×D79C2214yescomplemented
164C2×#14579152C2212yescomplemented
165C2×#14579151C2212yescomplemented
166#125×D79C2214yescomplemented
167#19099074C2212yescomplemented
168#19099073C2214yescomplemented
169#19099072C2214yescomplemented
170#19099070C2214yescomplemented
171#19099069C2214yescomplemented
172#19099069C2214yescomplemented
173#19099069C2214yescomplemented
174C2×#14579146C2212yescomplemented
175C2×#14579145C2212yescomplemented
176C2×#14579142C2212yescomplemented
177C2×#14579142C2212yescomplemented
178#123×D79C2214yescomplemented
179#123×D79C2214yescomplemented
180C2×#14579140C2211yescharacteristic, complemented
181C2×#14579138C2212yescomplemented
182C2×#14579137C2212yescomplemented
183C22⋊Q8×D79C2214yescomplemented
184C22⋊Q8×D79C2212yescomplemented
185C2×#14579135C2211yescharacteristic
186#121×D79C2212yes—
187#19099043C2214yescomplemented
188#19099042C2214yescomplemented
189#19099042C2214yescomplemented
190#19099042C2214yescomplemented
191#19099042C2214yescomplemented
192#19099042C2214yescomplemented
193#19099042C2214yescomplemented
194#19099036C2212yes—
195#19099036C2214yescomplemented
196#19099036C2212yescomplemented
197#19099035C2214yescomplemented
198#19099035C2214yescomplemented
199#19099031C2214yescomplemented
200C4×#11929623C2214yescomplemented
201C4×#11929623C2214yescomplemented
202C2×C4×Dic158C2211yescharacteristic, complemented
203C2×#14579126C2211yescharacteristic, complemented
204C2×D4×Dic79C2211yescharacteristic, complemented
205C2×D4×Dic79C2212yescomplemented
206C2×C4×C22⋊D79C2211yescharacteristic
207C2×C4×C22⋊D79C2211yescharacteristic, complemented
208C2×(C22⋊D79)⋊C4C2211yescharacteristic
209C2×(C22⋊D79)⋊C4C2212yescomplemented
210C2×(C22⋊D79)⋊C4C2214yescomplemented
211C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
212C4×D4×D79C2214yescomplemented
213C4×D4×D79C2214yescomplemented
214C2×#14579118C2211yescharacteristic, complemented
215C2×#14579117C2211yescharacteristic, complemented
216C2×#14579117C2211yescharacteristic, complemented
217C22×Dic79⋊C4C2211yescharacteristic, complemented
218C22×Dic79⋊C4C2211yescharacteristic, complemented
219C2×C4⋊C4×D79C2211yescharacteristic, complemented
220#553×C79C2214yescomplemented
221#553×C79C2212yescomplemented
222#552×C79C2212yescomplemented
223#551×C79C2214yescomplemented
224#548×C79C2212yescomplemented
225#546×C79C2212yescomplemented
226#539×C79C2212yescomplemented
227#538×C79C2212yescomplemented
228#534×C79C2212yescomplemented
229#529×C79C2212yescomplemented
230#525×C79C2212yescomplemented
231C2×C22⋊Q8×C79C2211yescharacteristic, complemented
232C2×#121×C79C2211yescharacteristic
233#518×C79C2212yescomplemented
234C2×C4×D4×C79C2211yescharacteristic, complemented
235#14579206—216no—
236C2×#11929624C2314yes—
237C2×#11929624C2312yes—
238C2×#11929623—28no—
239C2×#11929623C2314yes—
240C2×#11929623C2314yes—
241C2×#11929623C2314yes—
242C2×#11929623C2314yes—
243C2×#11929623C2314yes—
244C22×Dic158C2311yescharacteristic
245C22×Dic158C2311yescharacteristic
246C2×Q8×D79C2312yes—
247C22×D316C2311yescharacteristic
248C22×C22⋊D79C2314yes—
249C22×C22⋊D79C2312yes—
250C22×C22⋊D79C2311yescharacteristic
251C22×C22⋊D79C2311yescharacteristic
252C2×D4×D79C2314yes—
253C2×D4×D79C2314yes—
254C2×D4×D79C2312yes—
255C23×Dic79C2311yescharacteristic
256C23×Dic79C2311yescharacteristic
257C23×Dic79C2311yescharacteristic
258C23×Dic79C2311yescharacteristic
259C23×Dic79C2312yes—
260C22×C4×D79C2311yescharacteristic
261C22×C4×D79C2311yescharacteristic
262C22×C4×D79C2311yescharacteristic
263C22×C4×D79C2314yes—
264C22×C4×D79C2312yes—
265#14579160C2312yes—
266#14579160C2314yes—
267#14579160C2314yes—
268#14579160C2314yes—
269#14579160C2312yes—
270#14579159C2312yes—
271#14579159C2314yes—
272#14579157C2312yes—
273#14579156C2314yes—
274#14579156C2314yes—
275#14579156C2314yes—
276#14579156C2314yes—
277#14579156C2314yes—
278#14579156C2314yes—
279#14579156C2314yes—
280#14579156C2314yes—
281#14579156C2314yes—
282#14579155C2314yes—
283#14579155C2314yes—
284#14579155C2314yes—
285#14579154C2314yes—
286#14579154C2314yes—
287#14579154C2314yes—
288#14579154C2314yes—
289#14579154C2314yes—
290#14579154C2314yes—
291#14579154C2314yes—
292#14579154C2314yes—
293#14579154C2314yes—
294#14579154C2314yes—
295#14579154C2314yes—
296#14579154C2314yes—
297#14579154C2314yes—
298#14579153C2314yes—
299#14579153C2314yes—
300#14579153C2312yes—
301#14579152C2314yes—
302#14579152C2314yes—
303#14579152C2314yes—
304#14579152C2314yes—
305#14579152C2314yes—
306#14579151C2314yes—
307#14579151C2314yes—
308#14579151C2314yes—
309#14579151C2314yes—
310#14579151C2314yes—
311#14579151C2314yes—
312#14579151C2314yes—
313#14579151C2314yes—
314#14579151C2314yes—
315#14579151C2314yes—
316#14579151C2314yes—
317#14579151C2314yes—
318#14579151C2314yes—
319#14579151C2314yes—
320#14579149C2312yes—
321#14579148C2314yes—
322#14579147C2314yes—
323#14579147C2314yes—
324#14579147C2314yes—
325#14579147C2314yes—
326#14579147C2314yes—
327#14579147C2314yes—
328#14579147C2314yes—
329#14579147C2314yes—
330#14579146C2314yes—
331#14579146C2314yes—
332#14579146C2314yes—
333#14579146C2314yes—
334#14579146C2314yes—
335#14579146C2314yes—
336#14579146C2314yes—
337#14579146C2314yes—
338#14579145C2314yes—
339#14579145C2314yes—
340#14579145C2314yes—
341#14579145C2314yes—
342#14579145C2314yes—
343#14579145C2314yes—
344#14579144C2314yes—
345#14579144C2314yes—
346#14579144C2314yes—
347#14579144C2314yes—
348#14579144C2314yes—
349#14579143C2314yes—
350#14579143C2314yes—
351#14579143C2314yes—
352#14579143C2314yes—
353#14579143C2314yes—
354#14579143C2314yes—
355#14579143C2314yes—
356#14579143C2314yes—
357#14579143C2314yes—
358#14579143C2314yes—
359#14579142C2314yes—
360#14579142C2314yes—
361#14579142C2314yes—
362#14579142C2314yes—
363#14579142C2314yes—
364#14579142C2314yes—
365#14579142C2314yes—
366#14579142C2314yes—
367#14579142C2314yes—
368#14579142C2314yes—
369#14579142C2314yes—
370#14579142C2314yes—
371#14579141C2314yes—
372#14579141C2312yes—
373#14579141C2314yes—
374#14579140C2314yes—
375#14579140C2312yes—
376#14579140C2314yes—
377#14579140C2314yes—
378#14579140C2312yes—
379#14579140C2312yes—
380#14579140C2312yes—
381#14579140C2312yes—
382#14579140C2314yes—
383#14579139C2314yes—
384#14579139C2314yes—
385#14579139C2314yes—
386#14579139C2314yes—
387#14579139C2314yes—
388#14579139C2314yes—
389#14579139C2314yes—
390#14579139C2314yes—
391#14579139C2314yes—
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#14579137C2312yes—
408#14579137C2314yes—
409#14579137C2314yes—
410#14579137C2314yes—
411#14579137C2314yes—
412#14579137C2314yes—
413#14579136C2312yes—
414#14579135C2312yes—
415#14579135C2312yes—
416#14579135C2312yes—
417#14579135C2312yes—
418#14579135C2312yes—
419#14579134C2314yes—
420#14579134C2314yes—
421#14579134C2314yes—
422#14579134C2314yes—
423#14579134C2314yes—
424#14579133C2314yes—
425#14579133C2314yes—
426#14579133C2314yes—
427#14579133C2314yes—
428#14579133C2314yes—
429#14579133C2314yes—
430#14579133C2314yes—
431#14579133C2314yes—
432#14579133C2314yes—
433#14579132C2314yes—
434#14579132C2314yes—
435#14579132C2312yes—
436#14579132C2314yes—
437#14579131C2314yes—
438#14579130C2314yes—
439#14579130C2314yes—
440#14579129C2314yes—
441#14579129C2314yes—
442#14579129C2314yes—
443#14579129C2314yes—
444#14579129C2314yes—
445Q8×Dic79C2312yes—
446C4×Dic158C2314yes—
447C4×Dic158C2314yes—
448C4×Dic158C2314yes—
449C4×Dic158C2314yes—
450C4×Dic158C2312yes—
451C4×Dic158C2314yes—
452C4×Dic158C2314yes—
453#14579126C2314yes—
454#14579126C2312yes—
455#14579126C2314yes—
456#14579126C2314yes—
457#14579126C2314yes—
458#14579126C2314yes—
459#14579126C2314yes—
460C4×D316C2314yes—
461C4×D316C2312yes—
462C4×D316C2314yes—
463D4×Dic79C2314yes—
464D4×Dic79C2314yes—
465D4×Dic79C2314yes—
466D4×Dic79C2314yes—
467D4×Dic79C2314yes—
468D4×Dic79C2314yes—
469D4×Dic79C2312yes—
470D4×Dic79C2314yes—
471D4×Dic79C2314yes—
472D4×Dic79C2314yes—
473#14579123C2314yes—
474#14579123C2312yes—
475#14579123C2314yes—
476C4×C22⋊D79C2314yes—
477C4×C22⋊D79C2314yes—
478C4×C22⋊D79C2314yes—
479C4×C22⋊D79C2314yes—
480C4×C22⋊D79C2314yes—
481C4×C22⋊D79C2314yes—
482C4×C22⋊D79C2312yes—
483C4×C22⋊D79C2312yes—
484C4×C22⋊D79C2312yes—
485C4×C22⋊D79C2314yes—
486C4×C22⋊D79C2314yes—
487C4×C22⋊D79C2314yes—
488C4×C22⋊D79C2312yes—
489C4×C22⋊D79C2314yes—
490C4×C22⋊D79C2314yes—
491C4×C22⋊D79C2314yes—
492C4×C22⋊D79C2314yes—
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)⋊C4C2314yes—
504(C22⋊D79)⋊C4C2314yes—
505(C22⋊D79)⋊C4C2314yes—
506(C22⋊D79)⋊C4C2314yes—
507(C22⋊D79)⋊C4C2314yes—
508(C22⋊D79)⋊C4C2314yes—
509(C22⋊D79)⋊C4C2314yes—
510(C22⋊D79)⋊C4C2314yes—
511(C22⋊D79)⋊C4C2314yes—
512(C22⋊D79)⋊C4C2314yes—
513(C22⋊D79)⋊C4C2314yes—
514#14579120C2314yes—
515#14579120C2314yes—
516#14579120C2312yes—
517#14579119C2314yes—
518#14579119C2314yes—
519#14579119C2314yes—
520#14579118C2314yes—
521#14579118C2314yes—
522#14579118C2314yes—
523#14579118C2314yes—
524#14579118C2314yes—
525#14579118C2314yes—
526#14579118C2314yes—
527#14579117C2314yes—
528#14579117C2314yes—
529#14579117C2314yes—
530#14579117C2314yes—
531#14579117C2314yes—
532#14579117C2314yes—
533#14579117C2314yes—
534#14579117C2314yes—
535#14579117C2314yes—
536#14579117C2314yes—
537C2×C4⋊Dic79C2311yescharacteristic
538C2×C4⋊Dic79C2312yes—
539C2×C4⋊Dic79C2311yescharacteristic
540C2×C4⋊Dic79C2312yes—
541C2×C4⋊Dic79C2312yes—
542C2×C4⋊Dic79C2311yescharacteristic
543C2×Dic79⋊C4C2311yescharacteristic
544C2×Dic79⋊C4C2311yescharacteristic
545C2×Dic79⋊C4C2311yescharacteristic
546C2×Dic79⋊C4C2311yescharacteristic
547C2×Dic79⋊C4C2311yescharacteristic
548C2×Dic79⋊C4C2311yescharacteristic
549C2×Dic79⋊C4C2311yescharacteristic
550C2×Dic79⋊C4C2312yes—
551C2×Dic79⋊C4C2312yes—
552C2×Dic79⋊C4C2312yes—
553C2×Dic79⋊C4C2312yes—
554C2×Dic79⋊C4C2312yes—
555C2×Dic79⋊C4C2312yes—
556C2×Dic79⋊C4C2312yes—
557C2×Dic79⋊C4C2314yes—
558C2×Dic79⋊C4C2314yes—
559C2×Dic79⋊C4C2314yes—
560C2×Dic79⋊C4C2312yes—
561C2×Dic79⋊C4C2311yescharacteristic
562C4⋊C4×D79C2314yes—
563C4⋊C4×D79C2314yes—
564C4⋊C4×D79C2314yes—
565C4⋊C4×D79C2314yes—
566C4⋊C4×D79C2314yes—
567C4⋊C4×D79C2314yes—
568C4⋊C4×D79C2312yes—
569C4⋊C4×D79C2312yes—
570C4⋊C4×D79C2314yes—
571C2×C22⋊Dic79C2311yescharacteristic
572C2×C22⋊Dic79C2312yes—
573C2×C22⋊Dic79C2311yescharacteristic
574C2×C22⋊Dic79C2312yes—
575C2×C22⋊Dic79C2312yes—
576C2×C22⋊Dic79C2312yes—
577C2×(C2×D79)⋊C4C2312yes—
578C2×(C2×D79)⋊C4C2311yescharacteristic
579C2×(C2×D79)⋊C4C2312yes—
580C2×(C2×D79)⋊C4C2312yes—
581C2×(C2×D79)⋊C4C2312yes—
582C2×(C2×D79)⋊C4C2314yes—
583C2×(C2×D79)⋊C4C2311yescharacteristic
584C22⋊C4×D79C2314yes—
585C22⋊C4×D79C2314yes—
586C22⋊C4×D79C2314yes—
587C22⋊C4×D79C2314yes—
588C22⋊C4×D79C2314yes—
589C22⋊C4×D79C2314yes—
590C22⋊C4×D79C2314yes—
591C2×C4×Dic79C2311yescharacteristic
592C2×C4×Dic79C2311yescharacteristic
593C2×C4×Dic79C2311yescharacteristic
594C2×C4×Dic79C2311yescharacteristic
595C2×C4×Dic79C2311yescharacteristic
596C2×C4×Dic79C2312yes—
597C2×C4×Dic79C2314yes—
598C2×C4×Dic79C2312yes—
599C42×D79C2314yes—
600C42×D79C2314yes—
601C2×#41×C79C2312yes—
602C22×Q8×C79C2311yescharacteristic
603C22×D4×C79C2312yes—
604C22×D4×C79C2311yescharacteristic
605C22×D4×C79C2311yescharacteristic
606C23×C4×C79C2311yescharacteristic
607C23×C4×C79C2311yescharacteristic
608#126×C79C2314yes—
609#126×C79C2314yes—
610#126×C79C2314yes—
611#125×C79C2314yes—
612#125×C79C2312yes—
613#124×C79C2312yes—
614#124×C79C2314yes—
615#123×C79C2314yes—
616#123×C79C2314yes—
617#123×C79C2314yes—
618#123×C79C2314yes—
619#123×C79C2314yes—
620C22⋊Q8×C79C2312yes—
621C22⋊Q8×C79C2314yes—
622C22⋊Q8×C79C2312yes—
623C22⋊Q8×C79C2312yes—
624C22⋊Q8×C79C2312yes—
625C22⋊Q8×C79C2312yes—
626#121×C79C2312yes—
627#121×C79C2312yes—
628#121×C79C2314yes—
629#121×C79C2312yes—
630#121×C79C2312yes—
631#121×C79C2312yes—
632#121×C79C2314yes—
633#121×C79C2314yes—
634#120×C79C2314yes—
635#120×C79C2314yes—
636C4×Q8×C79C2312yes—
637C4×D4×C79C2314yes—
638C4×D4×C79C2314yes—
639C4×D4×C79C2312yes—
640C4×D4×C79C2312yes—
641C4×D4×C79C2312yes—
642C4×D4×C79C2312yes—
643C4×D4×C79C2314yes—
644C4×D4×C79C2314yes—
645C4×D4×C79C2312yes—
646C4×D4×C79C2314yes—
647#117×C79C2314yes—
648#117×C79C2314yes—
649#117×C79C2312yes—
650C2×C4⋊C4×C79C2311yescharacteristic
651C2×C4⋊C4×C79C2311yescharacteristic
652C2×C4⋊C4×C79C2312yes—
653C2×C4⋊C4×C79C2311yescharacteristic
654C2×C22⋊C4×C79C2311yescharacteristic
655C2×C22⋊C4×C79C2312yes—
656C2×C22⋊C4×C79C2312yes—
657C2×C22⋊C4×C79C2311yescharacteristic
658C2×C22⋊C4×C79C2314yes—
659C2×C42×C79C2311yescharacteristic
660C23×D79C2414yes—
661C23×D79C2412yes—
662C23×D79C2411yescharacteristic
663#11929624—216no—
664#11929624—82no—
665#11929623—216no—
666#11929623—216no—
667#11929623—216no—
668#11929623—216no—
669#11929623—84no—
670C2×Dic158—24no—
671C2×Dic158—81no—
672C2×Dic158C2414yes—
673C2×Dic158C2414yes—
674C2×Dic158C2412yes—
675C2×Dic158C2414yes—
676C2×Dic158C2412yes—
677C2×Dic158C2414yes—
678Q8×D79—82no—
679C2×D316—81no—
680C2×D316C2414yes—
681C2×D316C2412yes—
682C2×D316C2412yes—
683C2×C22⋊D79—28no—
684C2×C22⋊D79—24no—
685C2×C22⋊D79—216no—
686C2×C22⋊D79#4118yescomplemented
687C2×C22⋊D79C2414yes—
688C2×C22⋊D79C2414yes—
689C2×C22⋊D79C2414yes—
690C2×C22⋊D79C2414yes—
691C2×C22⋊D79C2414yes—
692C2×C22⋊D79C2414yes—
693C2×C22⋊D79C2414yes—
694C2×C22⋊D79C2414yes—
695C2×C22⋊D79C2414yes—
696C2×C22⋊D79C2412yes—
697C2×C22⋊D79C2412yes—
698D4×D79—216no—
699D4×D79—216no—
700D4×D79—82no—
701C22×Dic79—24no—
702C22×Dic79—24no—
703C22×Dic79—81no—
704C22×Dic79—81no—
705C22×Dic79—82no—
706C22×Dic79C2411yescharacteristic
707C22×Dic79C2412yes—
708C22×Dic79C2414yes—
709C22×Dic79C2412yes—
710C22×Dic79C2412yes—
711C22×Dic79C2414yes—
712C22×Dic79C2411yescharacteristic
713C22×Dic79C2412yes—
714C22×Dic79C2414yes—
715C22×Dic79C2414yes—
716C22×Dic79C2411yescharacteristic
717C22×Dic79C2411yescharacteristic
718C22×Dic79C2412yes—
719C22×Dic79C2412yes—
720C22×Dic79C2412yes—
721C22×Dic79C2411yescharacteristic
722C22×Dic79C2411yescharacteristic
723C22×Dic79C2414yes—
724C22×Dic79C2411yescharacteristic
725C2×C4×D79—24no—
726C2×C4×D79—81no—
727C2×C4×D79—81no—
728C2×C4×D79—82no—
729C2×C4×D79—84no—
730C2×C4×D79C2414yes—
731C2×C4×D79C2414yes—
732C2×C4×D79C2414yes—
733C2×C4×D79C2412yes—
734C2×C4×D79C2414yes—
735C2×C4×D79C2414yes—
736C2×C4×D79C2414yes—
737C2×C4×D79C2414yes—
738C2×C4×D79C2414yes—
739C2×C4×D79C2414yes—
740C2×C4×D79C2414yes—
741C2×C4×D79C2412yes—
742C4⋊Dic79C2414yes—
743C4⋊Dic79C2414yes—
744C4⋊Dic79C2414yes—
745C4⋊Dic79C2412yes—
746C4⋊Dic79C2414yes—
747C4⋊Dic79C2414yes—
748C4⋊Dic79C2412yes—
749C4⋊Dic79C2414yes—
750C4⋊Dic79C2412yes—
751C4⋊Dic79C2414yes—
752C4⋊Dic79C2414yes—
753C4⋊Dic79C2412yes—
754C4⋊Dic79C2414yes—
755Dic79⋊C4C2412yes—
756Dic79⋊C4C2414yes—
757Dic79⋊C4C2412yes—
758Dic79⋊C4C2414yes—
759Dic79⋊C4C2414yes—
760Dic79⋊C4C2414yes—
761Dic79⋊C4C2414yes—
762Dic79⋊C4C2414yes—
763Dic79⋊C4C2414yes—
764Dic79⋊C4C2414yes—
765Dic79⋊C4C2414yes—
766Dic79⋊C4C2414yes—
767Dic79⋊C4C2414yes—
768Dic79⋊C4C2414yes—
769Dic79⋊C4C2414yes—
770Dic79⋊C4C2412yes—
771Dic79⋊C4C2412yes—
772Dic79⋊C4C2412yes—
773Dic79⋊C4C2412yes—
774Dic79⋊C4C2412yes—
775Dic79⋊C4C2412yes—
776Dic79⋊C4C2412yes—
777Dic79⋊C4C2412yes—
778Dic79⋊C4C2414yes—
779Dic79⋊C4C2414yes—
780Dic79⋊C4C2414yes—
781Dic79⋊C4C2414yes—
782Dic79⋊C4C2414yes—
783Dic79⋊C4C2414yes—
784Dic79⋊C4C2414yes—
785Dic79⋊C4C2414yes—
786Dic79⋊C4C2414yes—
787Dic79⋊C4C2414yes—
788C22⋊Dic79C2414yes—
789C22⋊Dic79C2414yes—
790C22⋊Dic79C2414yes—
791C22⋊Dic79C2414yes—
792C22⋊Dic79C2414yes—
793C22⋊Dic79C2414yes—
794C22⋊Dic79C2414yes—
795C22⋊Dic79C2412yes—
796C22⋊Dic79C2412yes—
797C22⋊Dic79C2414yes—
798C22⋊Dic79C2414yes—
799C22⋊Dic79C2414yes—
800C22⋊Dic79C2414yes—
801C22⋊Dic79C2414yes—
802C22⋊Dic79C2414yes—
803(C2×D79)⋊C4C2414yes—
804(C2×D79)⋊C4C2414yes—
805(C2×D79)⋊C4C2414yes—
806(C2×D79)⋊C4C2414yes—
807(C2×D79)⋊C4C2414yes—
808(C2×D79)⋊C4C2414yes—
809(C2×D79)⋊C4C2414yes—
810(C2×D79)⋊C4C2414yes—
811(C2×D79)⋊C4C2414yes—
812(C2×D79)⋊C4C2414yes—
813(C2×D79)⋊C4C2414yes—
814(C2×D79)⋊C4C2414yes—
815(C2×D79)⋊C4C2414yes—
816(C2×D79)⋊C4C2412yes—
817(C2×D79)⋊C4C2412yes—
818(C2×D79)⋊C4C2414yes—
819(C2×D79)⋊C4C2414yes—
820(C2×D79)⋊C4C2414yes—
821(C2×D79)⋊C4C2414yes—
822C4×Dic79C2414yes—
823C4×Dic79C2414yes—
824C4×Dic79C2414yes—
825C4×Dic79C2414yes—
826C4×Dic79C2414yes—
827C4×Dic79C2414yes—
828C4×Dic79C2414yes—
829C4×Dic79C2414yes—
830C4×Dic79C2412yes—
831C4×Dic79C2412yes—
832C4×Dic79C2414yes—
833C4×Dic79C2414yes—
834C4×Dic79C2414yes—
835C4×Dic79C2414yes—
836C24×C79C2412yes—
837C24×C79C2411yescharacteristic
838C24×C79C2411yescharacteristic
839#41×C79—82no—
840C2×Q8×C79—81no—
841C2×Q8×C79C2412yes—
842C2×Q8×C79C2412yes—
843C2×D4×C79—24no—
844C2×D4×C79—28no—
845C2×D4×C79—81no—
846C2×D4×C79C2412yes—
847C2×D4×C79C2412yes—
848C2×D4×C79C2414yes—
849C2×D4×C79C2414yes—
850C2×D4×C79C2414yes—
851C2×D4×C79C2414yes—
852C2×D4×C79C2412yes—
853C2×D4×C79C2412yes—
854C22×C4×C79—81no—
855C22×C4×C79—81no—
856C22×C4×C79C2411yescharacteristic
857C22×C4×C79C2412yes—
858C22×C4×C79C2411yescharacteristic
859C22×C4×C79C2412yes—
860C22×C4×C79C2411yescharacteristic
861C22×C4×C79C2411yescharacteristic
862C22×C4×C79C2412yes—
863C22×C4×C79C2411yescharacteristic
864C22×C4×C79C2412yes—
865C22×C4×C79C2411yescharacteristic
866C22×C4×C79C2414yes—
867C22×C4×C79C2414yes—
868C22×C4×C79C2411yescharacteristic
869C22×C4×C79C2411yescharacteristic
870C22×C4×C79C2411yescharacteristic
871C22×C4×C79C2412yes—
872C4⋊C4×C79C2412yes—
873C4⋊C4×C79C2414yes—
874C4⋊C4×C79C2412yes—
875C4⋊C4×C79C2412yes—
876C4⋊C4×C79C2412yes—
877C4⋊C4×C79C2412yes—
878C4⋊C4×C79C2414yes—
879C4⋊C4×C79C2412yes—
880C4⋊C4×C79C2414yes—
881C4⋊C4×C79C2414yes—
882C4⋊C4×C79C2414yes—
883C4⋊C4×C79C2414yes—
884C22⋊C4×C79C2412yes—
885C22⋊C4×C79C2414yes—
886C22⋊C4×C79C2414yes—
887C22⋊C4×C79C2412yes—
888C22⋊C4×C79C2414yes—
889C22⋊C4×C79C2412yes—
890C22⋊C4×C79C2414yes—
891C22⋊C4×C79C2414yes—
892C22⋊C4×C79C2412yes—
893C22⋊C4×C79C2414yes—
894C22⋊C4×C79C2414yes—
895C22⋊C4×C79C2414yes—
896C22⋊C4×C79C2414yes—
897C22⋊C4×C79C2414yes—
898C42×C79C2412yes—
899C42×C79C2412yes—
900C42×C79C2414yes—
901C42×C79C2414yes—
902C23×C79—22no—
903C23×C79—24no—
904C23×C79—41no—
905C23×C79—41no—
906C23×C79—41no—
907C23×C79—41no—
908C23×C79—42no—
909C23×C79—42no—
910C23×C79C2×#4114yes—
911C23×C79C2514yes—
912C23×C79C2512yes—
913C23×C79C2511yescharacteristic
914C23×C79C2511yescharacteristic
915C23×C79C2511yescharacteristic
916C22×D79—24no—
917C22×D79—28no—
918C22×D79—41no—
919C22×D79—41no—
920C22×D79—44no—
921C22×D79—42no—
922C22×D79—44no—
923C22×D79—42no—
924C22×D79C2×#4114yes—
925C22×D79C2514yes—
926C22×D79C2512yes—
927Q8×C79—42no—
928Q8×C79—42no—
929D4×C79—28no—
930D4×C79—28no—
931D4×C79—24no—
932D4×C79—24no—
933D4×C79—42no—
934D4×C79—44no—
935D4×C79—42no—
936D4×C79—44no—
937C2×C4×C79—22no—
938C2×C4×C79—24no—
939C2×C4×C79—41no—
940C2×C4×C79—41no—
941C2×C4×C79—42no—
942C2×C4×C79—44no—
943C2×C4×C79—41no—
944C2×C4×C79—41no—
945C2×C4×C79—42no—
946C2×C4×C79—41no—
947C2×C4×C79—41no—
948C2×C4×C79—41no—
949C2×C4×C79—42no—
950C2×C4×C79—41no—
951C2×C4×C79—44no—
952C2×C4×C79—42no—
953C2×C4×C79C2512yes—
954C2×C4×C79C2512yes—
955C2×C4×C79C2514yes—
956C2×C4×C79C2512yes—
957C2×C4×C79C2511yescharacteristic
958C2×C4×C79C2514yes—
959C2×C4×C79C2511yescharacteristic
960C2×C4×C79C2514yes—
961C2×C4×C79C2511yescharacteristic
962C2×C4×C79C2511yescharacteristic
963C22⋊D79—28no—
964C22⋊D79—28no—
965C22⋊D79—28no—
966C22⋊D79—28no—
967C22⋊D79—28no—
968C22⋊D79—44no—
969C22⋊D79—44no—
970C22⋊D79—44no—
971C22⋊D79—44no—
972C22⋊D79C2×#4118yes—
973C22⋊D79C2×#4118yes—
974C2×Dic79—22no—
975C2×Dic79—22no—
976C2×Dic79—24no—
977C2×Dic79—24no—
978C2×Dic79—24no—
979C2×Dic79—28no—
980C2×Dic79—28no—
981C2×Dic79—41no—
982C2×Dic79—44no—
983C2×Dic79—41no—
984C2×Dic79—42no—
985C2×Dic79—42no—
986C2×Dic79—41no—
987C2×Dic79—42no—
988C2×Dic79—44no—
989C2×Dic79—44no—
990C2×Dic79—41no—
991C2×Dic79—42no—
992C2×Dic79C2×#4114yes—
993C2×Dic79C2512yes—
994C2×Dic79C2512yes—
995C2×Dic79C2512yes—
996C2×Dic79C2512yes—
997C2×Dic79C2514yes—
998C2×Dic79C2514yes—
999C2×Dic79C2514yes—
1000C2×Dic79C2512yes—
1001C2×Dic79C2512yes—
1002C2×Dic79C2512yes—
1003D316—28no—
1004D316—42no—
1005D316—42no—
1006C4×D79—28no—
1007C4×D79—28no—
1008C4×D79—28no—
1009C4×D79—44no—
1010C4×D79—44no—
1011C4×D79—42no—
1012C4×D79—42no—
1013C4×D79—44no—
1014C4×D79—44no—
1015C4×D79—44no—
1016C4×D79—44no—
1017C4×D79—44no—
1018Dic158—28no—
1019Dic158—28no—
1020Dic158—42no—
1021Dic158—44no—
1022Dic158—42no—
1023Dic158—44no—
1024C22×C79—21no—
1025C22×C79—21no—
1026C22×C79—21no—
1027C22×C79—21no—
1028C22×C79—21no—
1029C22×C79—21no—
1030C22×C79—24no—
1031C22×C79—22no—
1032C22×C79—22no—
1033C22×C79—24no—
1034C22×C79—22no—
1035C22×C79—24no—
1036C22×C79—44no—
1037C22×C79—44no—
1038C22×C79—84no—
1039C22×C79C22×#4112yes—
1040C22×C79C22×#4112yes—
1041C22×C79C22×#4112yes—
1042C22×C79C2611yescharacteristic
1043C2×D79—22no—
1044C2×D79—22no—
1045C2×D79—24no—
1046C2×D79—24no—
1047C2×D79—24no—
1048C2×D79—44no—
1049C2×D79—88no—
1050C2×D79—84no—
1051C2×D79C22×#4114yes—
1052C4×C79—22no—
1053C4×C79—24no—
1054C4×C79—21no—
1055C4×C79—21no—
1056C4×C79—22no—
1057C4×C79—21no—
1058C4×C79—21no—
1059C4×C79—24no—
1060C4×C79—22no—
1061C4×C79—24no—
1062Dic79—24no—
1063Dic79—22no—
1064Dic79—22no—
1065Dic79—22no—
1066Dic79—24no—
1067Dic79—22no—
1068Dic79—22no—
1069Dic79—22no—
1070Dic79—24no—
1071Dic79C22×#4114yes—
1072#62847—791nomaximal, Sylow
1073C2×C79—22no—
1074C2×C79—22no—
1075C2×C79—22no—
1076C2×C79—44no—
1077C2×C79—42no—
1078C2×C79C23×#4111yescharacteristic
1079C2×C79H(7,𝔽2)11yescharacteristic
1080C2×C792−1+611yescharacteristic
1081D79—24no—
1082D79—44no—
1083#3521—794no—
1084#3521—794no—
1085#3520—794no—
1086#3520—794no—
1087#3515—794no—
1088#3515—794no—
1089#3513—794no—
1090#3513—794no—
1091#3507—792no—
1092#3505—792no—
1093#3505—791no—
1094#3505D7911yescharacteristic, complemented
1095#3501—791no—
1096#3496—791no—
1097#3492—792no—
1098#3491—792no—
1099#3491—792no—
1100#3485—792no—
1101#3461—792no—
1102#3459—792no—
1103#3459—792no—
1104#3455—792no—
1105C2×#539—792no—
1106C2×#539—791no—
1107C2×#539—791no—
1108C4×H(5,𝔽2)—792no—
1109C2×#520—791no—
1110C79#6284711yescharacteristic, complemented, Sylow
1111C2×H(5,𝔽2)—792no—
1112C22×#41—791no—
1113#559—794no—
1114#557—794no—
1115#556—794no—
1116#556—794no—
1117#556—794no—
1118#554—794no—
1119#554—794no—
1120#554—794no—
1121#554—792no—
1122#554—794no—
1123#554—794no—
1124#554—792no—
1125#553—794no—
1126#553—794no—
1127#553—794no—
1128#553—794no—
1129#553—792no—
1130#553—794no—
1131#553—794no—
1132#553C2×D7914yescomplemented
1133#553C2×D7912yescomplemented
1134#552—794no—
1135#552—794no—
1136#552—794no—
1137#552—794no—
1138#552—794no—
1139#552—794no—
1140#552—794no—
1141#552—794no—
1142#552—794no—
1143#552—792no—
1144#552—794no—
1145#552—794no—
1146#552—794no—
1147#552—794no—
1148#552C2×D7912yescomplemented
1149#551—794no—
1150#551—794no—
1151#551—794no—
1152#551—794no—
1153#551—794no—
1154#551—794no—
1155#551—794no—
1156#551—794no—
1157#551—794no—
1158#551—794no—
1159#551—794no—
1160#551C2×D7914yescomplemented
1161D4×Q8—792no—
1162D4×Q8—792no—
1163#548—794no—
1164#548—792no—
1165#548C2×D7912yescomplemented
1166#547—794no—
1167#547—794no—
1168#547—794no—
1169#547—794no—
1170#547—794no—
1171#547—794no—
1172#547—792no—
1173#547—792no—
1174#546—794no—
1175#546—794no—
1176#546—794no—
1177#546—794no—
1178#546—794no—
1179#546—794no—
1180#546—792no—
1181#546—794no—
1182#546C2×D7912yescomplemented
1183D42—792no—
1184D42—792no—
1185#544—792no—
1186#543—792no—
1187#543—792no—
1188#542—794no—
1189#542—794no—
1190#542—794no—
1191#542—794no—
1192#541—794no—
1193#541—794no—
1194#541—794no—
1195#540—794no—
1196#539—794no—
1197#539—794no—
1198#539—794no—
1199#539—794no—
1200#539—794no—
1201#539—794no—
1202#539—794no—
1203#539—794no—
1204#539—792no—
1205#539—792no—
1206#539—792no—
1207#539—792no—
1208#539—794no—
1209#539—794no—
1210#539—792no—
1211#539—792no—
1212#539—792no—
1213#539—792no—
1214#539—794no—
1215#539—794no—
1216#539—794no—
1217#539—794no—
1218#539—794no—
1219#539—792no—
1220#539C2×D7912yescomplemented
1221#538—794no—
1222#538—794no—
1223#538—794no—
1224#538—794no—
1225#538—794no—
1226#538—792no—
1227#538C2×D7912yescomplemented
1228#537—792no—
1229#536—794no—
1230#534—792no—
1231#534—792no—
1232#534—792no—
1233#534—794no—
1234#534C2×D7912yescomplemented
1235#533—792no—
1236#533—794no—
1237#533—794no—
1238#532—792no—
1239#529—794no—
1240#529—794no—
1241#529—794no—
1242#529—794no—
1243#529—794no—
1244#529—794no—
1245#529—794no—
1246#529—794no—
1247#529—794no—
1248#529—794no—
1249#529—794no—
1250#529—794no—
1251#529—794no—
1252#529—792no—
1253#529C2×D7912yescomplemented
1254C2×#126—794no—
1255C2×#126—792no—
1256C2×#126—792no—
1257C2×#125—794no—
1258C2×#125—792no—
1259C2×#125—792no—
1260#525—794no—
1261#525—792no—
1262#525—794no—
1263#525—794no—
1264#525—794no—
1265#525—794no—
1266#525—794no—
1267#525C2×D7912yescomplemented
1268C2×#123—792no—
1269C2×#123—792no—
1270C2×#123—794no—
1271C2×#123—794no—
1272C2×#123—792no—
1273C2×#123—792no—
1274C2×C22⋊Q8—792no—
1275C2×C22⋊Q8—791no—
1276C2×C22⋊Q8—792no—
1277C2×C22⋊Q8—794no—
1278C2×C22⋊Q8—792no—
1279C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1280C2×#121—791no—
1281C2×#121—792no—
1282C2×#121C2×D7911yescharacteristic
1283#520—794no—
1284#520—794no—
1285#520—794no—
1286#520—794no—
1287#520—794no—
1288#520—794no—
1289#520—794no—
1290#518—794no—
1291#518—794no—
1292#518—792no—
1293#518—792no—
1294#518—794no—
1295#518C2×D7912yescomplemented
1296C4×#41—794no—
1297C4×#41—794no—
1298C4×#41—794no—
1299C2×C4×Q8—791no—
1300C2×C4×Q8—791no—
1301C2×C4×D4—791no—
1302C2×C4×D4—792no—
1303C2×C4×D4—791no—
1304C2×C4×D4—791no—
1305C2×C4×D4—794no—
1306C2×C4×D4—794no—
1307C2×C4×D4—791no—
1308C2×C4×D4—791no—
1309C2×C4×D4—792no—
1310C2×C4×D4—794no—
1311C2×C4×D4C2×D7911yescharacteristic, complemented
1312C2×#117—791no—
1313C2×#117—791no—
1314C2×#117—791no—
1315C22×C4⋊C4—791no—
1316C22×C4⋊C4—791no—
1317C22×C4⋊C4—791no—
1318H(5,𝔽2)—15816no—
1319C2×#41—794no—
1320C2×#41—794no—
1321C2×#41—794no—
1322C2×#41—794no—
1323C2×#41—794no—
1324C2×#41—792no—
1325C2×#41—794no—
1326C2×#41—1588no—
1327C2×#41C22×D7912yes—
1328C22×Q8—792no—
1329C22×Q8—791no—
1330C22×Q8—791no—
1331C22×Q8C22×D7911yescharacteristic
1332C22×D4—791no—
1333C22×D4—791no—
1334C22×D4—792no—
1335C22×D4—794no—
1336C22×D4—792no—
1337C22×D4—794no—
1338C22×D4—794no—
1339C22×D4—791no—
1340C22×D4C22×D7911yescharacteristic
1341C22×D4C22×D7912yes—
1342C22×D4C22×D7911yescharacteristic
1343C23×C4—791no—
1344C23×C4—791no—
1345C23×C4—792no—
1346C23×C4—791no—
1347C23×C4—791no—
1348C23×C4—791no—
1349C23×C4—791no—
1350C23×C4—792no—
1351C23×C4—794no—
1352C23×C4—791no—
1353C23×C4C22×D7911yescharacteristic
1354C23×C4C22×D7911yescharacteristic
1355C4⋊Q8—792no—
1356C4⋊Q8—794no—
1357C4⋊Q8—792no—
1358C4⋊Q8—794no—
1359C4⋊Q8—794no—
1360C4⋊Q8—792no—
1361C4⋊Q8—794no—
1362#127—792no—
1363#126—794no—
1364#126—794no—
1365#126—794no—
1366#126—794no—
1367#126—794no—
1368#126—794no—
1369#126—794no—
1370#126—794no—
1371#126—794no—
1372#126—794no—
1373#126—794no—
1374#126—794no—
1375#126—794no—
1376#126—794no—
1377#126—794no—
1378#126—794no—
1379#126—794no—
1380#126—794no—
1381#126—794no—
1382#126—794no—
1383#126—794no—
1384#126—794no—
1385#126—794no—
1386#126—794no—
1387#126—794no—
1388#126C22×D7914yes—
1389#126C22×D7914yes—
1390#126C22×D7914yes—
1391#125—794no—
1392#125—794no—
1393#125—794no—
1394#125—794no—
1395#125—794no—
1396#125—794no—
1397#125—794no—
1398#125—794no—
1399#125—794no—
1400#125—794no—
1401#125—794no—
1402#125—794no—
1403#125—794no—
1404#125—794no—
1405#125—794no—
1406#125—794no—
1407#125—794no—
1408#125—794no—
1409#125—794no—
1410#125—794no—
1411#125—794no—
1412#125—792no—
1413#125C22×D7914yes—
1414#125C22×D7912yes—
1415#124—794no—
1416#124—794no—
1417#124—794no—
1418#124—794no—
1419#124—794no—
1420#124—794no—
1421#124—794no—
1422#124—794no—
1423#124—794no—
1424#124—792no—
1425#124C22×D7914yes—
1426#124C22×D7912yes—
1427#123—794no—
1428#123—794no—
1429#123—794no—
1430#123—794no—
1431#123—794no—
1432#123—794no—
1433#123—794no—
1434#123—794no—
1435#123—794no—
1436#123—794no—
1437#123—794no—
1438#123—794no—
1439#123—794no—
1440#123—794no—
1441#123—794no—
1442#123—794no—
1443#123—794no—
1444#123—794no—
1445#123—794no—
1446#123—794no—
1447#123—794no—
1448#123—794no—
1449#123—794no—
1450#123—794no—
1451#123—794no—
1452#123—794no—
1453#123—794no—
1454#123—794no—
1455#123—794no—
1456#123—794no—
1457#123—794no—
1458#123—794no—
1459#123—794no—
1460#123—794no—
1461#123—794no—
1462#123—794no—
1463#123—794no—
1464#123—794no—
1465#123—794no—
1466#123—794no—
1467#123—794no—
1468#123C22×D7914yes—
1469#123C22×D7914yes—
1470#123C22×D7914yes—
1471#123C22×D7914yes—
1472#123C22×D7914yes—
1473C22⋊Q8—794no—
1474C22⋊Q8—794no—
1475C22⋊Q8—794no—
1476C22⋊Q8—794no—
1477C22⋊Q8—792no—
1478C22⋊Q8—794no—
1479C22⋊Q8—792no—
1480C22⋊Q8—792no—
1481C22⋊Q8—792no—
1482C22⋊Q8—794no—
1483C22⋊Q8—792no—
1484C22⋊Q8—792no—
1485C22⋊Q8—794no—
1486C22⋊Q8—794no—
1487C22⋊Q8—794no—
1488C22⋊Q8—794no—
1489C22⋊Q8—794no—
1490C22⋊Q8—794no—
1491C22⋊Q8—794no—
1492C22⋊Q8—792no—
1493C22⋊Q8—794no—
1494C22⋊Q8—794no—
1495C22⋊Q8—794no—
1496C22⋊Q8—794no—
1497C22⋊Q8—794no—
1498C22⋊Q8—794no—
1499C22⋊Q8—794no—
1500C22⋊Q8—794no—
1501C22⋊Q8—794no—
1502C22⋊Q8—794no—
1503C22⋊Q8—794no—
1504C22⋊Q8—794no—
1505C22⋊Q8—794no—
1506C22⋊Q8—794no—
1507C22⋊Q8—794no—
1508C22⋊Q8—794no—
1509C22⋊Q8—794no—
1510C22⋊Q8—794no—
1511C22⋊Q8—794no—
1512C22⋊Q8—794no—
1513C22⋊Q8—794no—
1514C22⋊Q8—794no—
1515C22⋊Q8C22×D7912yes—
1516C22⋊Q8C22×D7914yes—
1517C22⋊Q8C22×D7912yes—
1518C22⋊Q8C22×D7912yes—
1519C22⋊Q8C22×D7912yes—
1520C22⋊Q8C22×D7912yes—
1521#121—794no—
1522#121—792no—
1523#121—794no—
1524#121—794no—
1525#121—794no—
1526#121—794no—
1527#121—794no—
1528#121—794no—
1529#121—794no—
1530#121—794no—
1531#121—794no—
1532#121—794no—
1533#121—794no—
1534#121—792no—
1535#121—792no—
1536#121—792no—
1537#121—792no—
1538#121—792no—
1539#121—792no—
1540#121—794no—
1541#121—794no—
1542#121—794no—
1543#121—794no—
1544#121—794no—
1545#121C22×D7912yes—
1546#121C22×D7912yes—
1547#121C22×D7912yes—
1548#121C22×D7912yes—
1549#121C22×D7914yes—
1550#121C22×D7912yes—
1551#121C22×D7914yes—
1552#121C22×D7914yes—
1553#120—794no—
1554#120—794no—
1555#120—794no—
1556#120—794no—
1557#120—794no—
1558#120—794no—
1559#120—794no—
1560#120—794no—
1561#120C22×D7914yes—
1562#120C22×D7914yes—
1563C4×Q8—792no—
1564C4×Q8—794no—
1565C4×Q8—794no—
1566C4×Q8—794no—
1567C4×Q8—794no—
1568C4×Q8—794no—
1569C4×Q8—792no—
1570C4×Q8—794no—
1571C4×Q8—794no—
1572C4×Q8—794no—
1573C4×Q8—794no—
1574C4×Q8—794no—
1575C4×Q8—794no—
1576C4×Q8—794no—
1577C4×Q8—792no—
1578C4×Q8C22×D7912yes—
1579C4×D4—794no—
1580C4×D4—794no—
1581C4×D4—794no—
1582C4×D4—794no—
1583C4×D4—794no—
1584C4×D4—794no—
1585C4×D4—794no—
1586C4×D4—794no—
1587C4×D4—794no—
1588C4×D4—792no—
1589C4×D4—794no—
1590C4×D4—794no—
1591C4×D4—794no—
1592C4×D4—794no—
1593C4×D4—794no—
1594C4×D4—794no—
1595C4×D4—792no—
1596C4×D4—792no—
1597C4×D4—792no—
1598C4×D4—792no—
1599C4×D4—794no—
1600C4×D4—794no—
1601C4×D4—794no—
1602C4×D4—794no—
1603C4×D4—794no—
1604C4×D4—794no—
1605C4×D4—794no—
1606C4×D4—794no—
1607C4×D4—794no—
1608C4×D4—792no—
1609C4×D4—794no—
1610C4×D4—794no—
1611C4×D4—794no—
1612C4×D4—794no—
1613C4×D4—794no—
1614C4×D4—794no—
1615C4×D4—794no—
1616C4×D4—794no—
1617C4×D4—794no—
1618C4×D4—794no—
1619C4×D4—794no—
1620C4×D4—794no—
1621C4×D4—794no—
1622C4×D4—794no—
1623C4×D4—794no—
1624C4×D4—794no—
1625C4×D4—794no—
1626C4×D4—794no—
1627C4×D4—794no—
1628C4×D4—794no—
1629C4×D4—794no—
1630C4×D4—794no—
1631C4×D4—794no—
1632C4×D4—792no—
1633C4×D4C22×D7914yes—
1634C4×D4C22×D7914yes—
1635C4×D4C22×D7912yes—
1636C4×D4C22×D7912yes—
1637C4×D4C22×D7912yes—
1638C4×D4C22×D7912yes—
1639C4×D4C22×D7914yes—
1640C4×D4C22×D7914yes—
1641C4×D4C22×D7914yes—
1642C4×D4C22×D7912yes—
1643#117—794no—
1644#117—792no—
1645#117—794no—
1646#117—794no—
1647#117—794no—
1648#117—794no—
1649#117—794no—
1650#117—794no—
1651#117—794no—
1652#117—794no—
1653#117—794no—
1654#117—794no—
1655#117—794no—
1656#117—794no—
1657#117—794no—
1658#117—794no—
1659#117—794no—
1660#117—794no—
1661#117—794no—
1662#117—794no—
1663#117—794no—
1664#117—794no—
1665#117—794no—
1666#117C22×D7914yes—
1667#117C22×D7912yes—
1668#117C22×D7914yes—
1669C2×C4⋊C4—791no—
1670C2×C4⋊C4—791no—
1671C2×C4⋊C4—791no—
1672C2×C4⋊C4—791no—
1673C2×C4⋊C4—791no—
1674C2×C4⋊C4—791no—
1675C2×C4⋊C4—791no—
1676C2×C4⋊C4—791no—
1677C2×C4⋊C4—792no—
1678C2×C4⋊C4—792no—
1679C2×C4⋊C4—792no—
1680C2×C4⋊C4—792no—
1681C2×C4⋊C4—794no—
1682C2×C4⋊C4—794no—
1683C2×C4⋊C4—791no—
1684C2×C4⋊C4—792no—
1685C2×C4⋊C4—792no—
1686C2×C4⋊C4—794no—
1687C2×C4⋊C4—791no—
1688C2×C4⋊C4—792no—
1689C2×C4⋊C4—792no—
1690C2×C4⋊C4—792no—
1691C2×C4⋊C4—791no—
1692C2×C4⋊C4—792no—
1693C2×C4⋊C4—792no—
1694C2×C4⋊C4—794no—
1695C2×C4⋊C4—794no—
1696C2×C4⋊C4—794no—
1697C2×C4⋊C4—794no—
1698C2×C4⋊C4—792no—
1699C2×C4⋊C4—794no—
1700C2×C4⋊C4—794no—
1701C2×C4⋊C4—792no—
1702C2×C4⋊C4—794no—
1703C2×C4⋊C4C22×D7911yescharacteristic
1704C2×C4⋊C4C22×D7911yescharacteristic
1705C2×C4⋊C4C22×D7912yes—
1706C2×C4⋊C4C22×D7911yescharacteristic
1707C2×C22⋊C4—791no—
1708C2×C22⋊C4—791no—
1709C2×C22⋊C4—792no—
1710C2×C22⋊C4—792no—
1711C2×C22⋊C4—792no—
1712C2×C22⋊C4—792no—
1713C2×C22⋊C4—791no—
1714C2×C22⋊C4—791no—
1715C2×C22⋊C4—792no—
1716C2×C22⋊C4—794no—
1717C2×C22⋊C4—792no—
1718C2×C22⋊C4—792no—
1719C2×C22⋊C4—792no—
1720C2×C22⋊C4—794no—
1721C2×C22⋊C4—794no—
1722C2×C22⋊C4—794no—
1723C2×C22⋊C4—794no—
1724C2×C22⋊C4—794no—
1725C2×C22⋊C4—794no—
1726C2×C22⋊C4—794no—
1727C2×C22⋊C4C22×D7911yescharacteristic
1728C2×C22⋊C4C22×D7911yescharacteristic
1729C2×C22⋊C4C22×D7912yes—
1730C2×C22⋊C4C22×D7914yes—
1731C2×C22⋊C4C22×D7912yes—
1732C2×C42—791no—
1733C2×C42—791no—
1734C2×C42—791no—
1735C2×C42—791no—
1736C2×C42—791no—
1737C2×C42—792no—
1738C2×C42—792no—
1739C2×C42—794no—
1740C2×C42—794no—
1741C2×C42—794no—
1742C2×C42C22×D7911yescharacteristic
1743C24—791no—
1744C24—794no—
1745C24—792no—
1746C24C23×D7912yes—
1747C24C23×D7911yescharacteristic
1748C24C23×D7911yescharacteristic
1749#41—82no—
1750#41—6322no—
1751#41—6324no—
1752#41—15816no—
1753#41—15816no—
1754#41—15816no—
1755#41—15816no—
1756#41—15816no—
1757C2×Q8—81no—
1758C2×Q8—794no—
1759C2×Q8—792no—
1760C2×Q8—792no—
1761C2×Q8—794no—
1762C2×Q8—794no—
1763C2×Q8—794no—
1764C2×Q8—6321no—
1765C2×Q8—6322no—
1766C2×Q8—1584no—
1767C2×Q8C23×D7912yes—
1768C2×Q8C23×D7912yes—
1769C2×D4—24no—
1770C2×D4—28no—
1771C2×D4—81no—
1772C2×D4—794no—
1773C2×D4—794no—
1774C2×D4—794no—
1775C2×D4—794no—
1776C2×D4—798no—
1777C2×D4—792no—
1778C2×D4—792no—
1779C2×D4—794no—
1780C2×D4—794no—
1781C2×D4—794no—
1782C2×D4—794no—
1783C2×D4—794no—
1784C2×D4—792no—
1785C2×D4—792no—
1786C2×D4—794no—
1787C2×D4—6321no—
1788C2×D4—6322no—
1789C2×D4—15816no—
1790C2×D4—15816no—
1791C2×D4—15816no—
1792C2×D4—1584no—
1793C2×D4—1588no—
1794C2×D4C23×D7912yes—
1795C2×D4C23×D7914yes—
1796C2×D4C23×D7912yes—
1797C2×D4C23×D7914yes—
1798C2×D4C23×D7914yes—
1799C2×D4C23×D7914yes—
1800C2×D4C23×D7912yes—
1801C2×D4C23×D7912yes—
1802C22×C4—81no—
1803C22×C4—81no—
1804C22×C4—791no—
1805C22×C4—792no—
1806C22×C4—792no—
1807C22×C4—791no—
1808C22×C4—791no—
1809C22×C4—792no—
1810C22×C4—791no—
1811C22×C4—794no—
1812C22×C4—792no—
1813C22×C4—794no—
1814C22×C4—794no—
1815C22×C4—794no—
1816C22×C4—794no—
1817C22×C4—794no—
1818C22×C4—794no—
1819C22×C4—794no—
1820C22×C4—792no—
1821C22×C4—794no—
1822C22×C4—794no—
1823C22×C4—792no—
1824C22×C4—791no—
1825C22×C4—791no—
1826C22×C4—792no—
1827C22×C4—794no—
1828C22×C4—792no—
1829C22×C4—792no—
1830C22×C4—791no—
1831C22×C4—794no—
1832C22×C4—794no—
1833C22×C4—794no—
1834C22×C4—794no—
1835C22×C4—6321no—
1836C22×C4—6321no—
1837C22×C4—6322no—
1838C22×C4—6324no—
1839C22×C4—6321no—
1840C22×C4—6322no—
1841C22×C4—6321no—
1842C22×C4—1584no—
1843C22×C4—1584no—
1844C22×C4—1584no—
1845C22×C4C23×D7911yescharacteristic
1846C22×C4C23×D7912yes—
1847C22×C4C23×D7911yescharacteristic
1848C22×C4C23×D7912yes—
1849C22×C4C23×D7914yes—
1850C22×C4C23×D7911yescharacteristic
1851C22×C4C23×D7911yescharacteristic
1852C22×C4C23×D7911yescharacteristic
1853C22×C4C23×D7911yescharacteristic
1854C22×C4C23×D7912yes—
1855C22×C4C23×D7911yescharacteristic
1856C22×C4C23×D7914yes—
1857C22×C4C23×D7911yescharacteristic
1858C22×C4C23×D7911yescharacteristic
1859C22×C4C23×D7912yes—
1860C22×C4C23×D7912yes—
1861C4⋊C4—794no—
1862C4⋊C4—792no—
1863C4⋊C4—792no—
1864C4⋊C4—792no—
1865C4⋊C4—794no—
1866C4⋊C4—792no—
1867C4⋊C4—792no—
1868C4⋊C4—792no—
1869C4⋊C4—792no—
1870C4⋊C4—792no—
1871C4⋊C4—792no—
1872C4⋊C4—792no—
1873C4⋊C4—794no—
1874C4⋊C4—794no—
1875C4⋊C4—794no—
1876C4⋊C4—794no—
1877C4⋊C4—794no—
1878C4⋊C4—794no—
1879C4⋊C4—794no—
1880C4⋊C4—794no—
1881C4⋊C4—794no—
1882C4⋊C4—794no—
1883C4⋊C4—794no—
1884C4⋊C4—794no—
1885C4⋊C4—794no—
1886C4⋊C4—794no—
1887C4⋊C4—794no—
1888C4⋊C4—794no—
1889C4⋊C4—794no—
1890C4⋊C4—794no—
1891C4⋊C4—794no—
1892C4⋊C4—794no—
1893C4⋊C4—794no—
1894C4⋊C4—794no—
1895C4⋊C4—794no—
1896C4⋊C4—794no—
1897C4⋊C4—792no—
1898C4⋊C4—794no—
1899C4⋊C4—794no—
1900C4⋊C4—792no—
1901C4⋊C4—792no—
1902C4⋊C4—794no—
1903C4⋊C4—792no—
1904C4⋊C4—794no—
1905C4⋊C4—794no—
1906C4⋊C4—794no—
1907C4⋊C4C23×D7912yes—
1908C4⋊C4C23×D7912yes—
1909C4⋊C4C23×D7914yes—
1910C4⋊C4C23×D7912yes—
1911C4⋊C4C23×D7914yes—
1912C4⋊C4C23×D7912yes—
1913C4⋊C4C23×D7914yes—
1914C4⋊C4C23×D7914yes—
1915C4⋊C4C23×D7912yes—
1916C4⋊C4C23×D7914yes—
1917C4⋊C4C23×D7912yes—
1918C4⋊C4C23×D7914yes—
1919C22⋊C4—794no—
1920C22⋊C4—794no—
1921C22⋊C4—794no—
1922C22⋊C4—794no—
1923C22⋊C4—794no—
1924C22⋊C4—794no—
1925C22⋊C4—792no—
1926C22⋊C4—792no—
1927C22⋊C4—794no—
1928C22⋊C4—794no—
1929C22⋊C4—794no—
1930C22⋊C4—794no—
1931C22⋊C4—794no—
1932C22⋊C4—794no—
1933C22⋊C4—794no—
1934C22⋊C4—794no—
1935C22⋊C4—794no—
1936C22⋊C4—794no—
1937C22⋊C4—794no—
1938C22⋊C4—794no—
1939C22⋊C4—794no—
1940C22⋊C4—794no—
1941C22⋊C4—794no—
1942C22⋊C4—794no—
1943C22⋊C4—794no—
1944C22⋊C4—792no—
1945C22⋊C4—792no—
1946C22⋊C4—794no—
1947C22⋊C4—794no—
1948C22⋊C4—794no—
1949C22⋊C4—794no—
1950C22⋊C4—794no—
1951C22⋊C4—794no—
1952C22⋊C4—794no—
1953C22⋊C4C23×D7912yes—
1954C22⋊C4C23×D7914yes—
1955C22⋊C4C23×D7914yes—
1956C22⋊C4C23×D7914yes—
1957C22⋊C4C23×D7914yes—
1958C22⋊C4C23×D7914yes—
1959C22⋊C4C23×D7914yes—
1960C22⋊C4C23×D7912yes—
1961C22⋊C4C23×D7914yes—
1962C22⋊C4C23×D7912yes—
1963C22⋊C4C23×D7912yes—
1964C22⋊C4C23×D7914yes—
1965C22⋊C4C23×D7914yes—
1966C22⋊C4C23×D7914yes—
1967C42—794no—
1968C42—794no—
1969C42—794no—
1970C42—794no—
1971C42—794no—
1972C42—794no—
1973C42—794no—
1974C42—794no—
1975C42—794no—
1976C42—794no—
1977C42—794no—
1978C42—794no—
1979C42—792no—
1980C42—792no—
1981C42C23×D7914yes—
1982C42C23×D7914yes—
1983C42C23×D7912yes—
1984C42C23×D7912yes—
1985C23—22no—
1986C23—24no—
1987C23—41no—
1988C23—41no—
1989C23—41no—
1990C23—41no—
1991C23—42no—
1992C23—42no—
1993C23—3161no—
1994C23—3161no—
1995C23—3162no—
1996C23—3164no—
1997C23—3162no—
1998C23—3164no—
1999C23—794no—
2000C23—792no—
2001C23—794no—
2002C23—1588no—
2003C23—1584no—
2004C23#41×D7914yes—
2005C23C24×D7914yes—
2006C23C24×D7912yes—
2007C23C24×D7911yescharacteristic
2008C23C24×D7911yescharacteristic
2009C23C24×D7911yescharacteristic
2010Q8—42no—
2011Q8—42no—
2012Q8—3162no—
2013Q8—3162no—
2014Q8—3164no—
2015Q8—3164no—
2016Q8—1588no—
2017Q8—1588no—
2018D4—28no—
2019D4—28no—
2020D4—24no—
2021D4—24no—
2022D4—42no—
2023D4—42no—
2024D4—44no—
2025D4—44no—
2026D4—3162no—
2027D4—3162no—
2028D4—3164no—
2029D4—3164no—
2030D4—3164no—
2031D4—3164no—
2032D4—798no—
2033D4—798no—
2034D4—1588no—
2035D4—1588no—
2036D4—1588no—
2037D4—1588no—
2038D4—1588no—
2039D4—1588no—
2040C2×C4—22no—
2041C2×C4—24no—
2042C2×C4—41no—
2043C2×C4—41no—
2044C2×C4—41no—
2045C2×C4—41no—
2046C2×C4—41no—
2047C2×C4—41no—
2048C2×C4—41no—
2049C2×C4—42no—
2050C2×C4—42no—
2051C2×C4—42no—
2052C2×C4—44no—
2053C2×C4—41no—
2054C2×C4—44no—
2055C2×C4—42no—
2056C2×C4—3164no—
2057C2×C4—3164no—
2058C2×C4—3162no—
2059C2×C4—3162no—
2060C2×C4—3164no—
2061C2×C4—3164no—
2062C2×C4—3164no—
2063C2×C4—3164no—
2064C2×C4—3164no—
2065C2×C4—3162no—
2066C2×C4—3161no—
2067C2×C4—3161no—
2068C2×C4—3162no—
2069C2×C4—3164no—
2070C2×C4—3161no—
2071C2×C4—3162no—
2072C2×C4—3164no—
2073C2×C4—3164no—
2074C2×C4—3162no—
2075C2×C4—3161no—
2076C2×C4—792no—
2077C2×C4—794no—
2078C2×C4—792no—
2079C2×C4—792no—
2080C2×C4—792no—
2081C2×C4—794no—
2082C2×C4—792no—
2083C2×C4—794no—
2084C2×C4—794no—
2085C2×C4—792no—
2086C2×C4—792no—
2087C2×C4—1588no—
2088C2×C4—1588no—
2089C2×C4—1588no—
2090C2×C4—1588no—
2091C2×C4—1588no—
2092C2×C4—1582no—
2093C2×C4—1582no—
2094C2×C4—1584no—
2095C2×C4—1584no—
2096C2×C4—1584no—
2097C2×C4C24×D7912yes—
2098C2×C4C24×D7912yes—
2099C2×C4C24×D7914yes—
2100C2×C4C24×D7912yes—
2101C2×C4C24×D7914yes—
2102C2×C4C24×D7911yescharacteristic
2103C2×C4C24×D7911yescharacteristic
2104C2×C4C24×D7914yes—
2105C2×C4C24×D7911yescharacteristic
2106C2×C4C24×D7911yescharacteristic
2107C22—21no—
2108C22—21no—
2109C22—21no—
2110C22—21no—
2111C22—21no—
2112C22—21no—
2113C22—22no—
2114C22—24no—
2115C22—22no—
2116C22—24no—
2117C22—24no—
2118C22—22no—
2119C22—44no—
2120C22—44no—
2121C22—84no—
2122C22—3164no—
2123C22—794no—
2124C22—6324no—
2125C22—6328no—
2126C22—1584no—
2127C22—1584no—
2128C22—1584no—
2129C22—1582no—
2130C22—1582no—
2131C22C2×#41×D7912yes—
2132C22C2×#41×D7912yes—
2133C22C2×#41×D7912yes—
2134C22C25×D7911yescharacteristic
2135C4—24no—
2136C4—22no—
2137C4—22no—
2138C4—21no—
2139C4—21no—
2140C4—21no—
2141C4—21no—
2142C4—24no—
2143C4—22no—
2144C4—24no—
2145C4—794no—
2146C4—1582no—
2147C4—1584no—
2148C4—1582no—
2149C4—1582no—
2150C4—1582no—
2151C4—1582no—
2152C4—1584no—
2153C4—1584no—
2154C4—1582no—
2155C2—22no—
2156C2—22no—
2157C2—22no—
2158C2—42no—
2159C2—44no—
2160C2—3164no—
2161C2—1584no—
2162C2C22×#41×D7911yescharacteristic
2163C2#2377821011yescharacteristic
2164C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3505C2
hypercenter#3505D79
hypocenterC79#62847
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3505

Complements

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

NH ≅ G/Ntype
1. #23777461C2semidirect
2. #23777459C2semidirect
3. #23777442C2semidirect
4. #23777438C2semidirect
5. #23777371C2semidirect
6. #23777367C2semidirect
7. #23777333C2semidirect
8. #23777331C2semidirect
9. #23777260C2semidirect
10. #23777239C2semidirect
11. #23777238C2semidirect
12. #23777196C2semidirect
13. #23777157C2semidirect
14. #23777101C2semidirect
15. #23777093C2semidirect
16. #23777092C2semidirect
17. #23777041C2semidirect
18. #23776829C2semidirect
19. #23776807C2semidirect
20. #23776806C2semidirect
21. #23776782C2semidirect
22. C2×#19099162C2semidirect
23. C2×#19099158C2semidirect
24. #539×D79C2semidirect
25. #23776604C2semidirect
26. C2×#19099042C2semidirect
27. C79×#3505C2semidirect
30. #19099297C22semidirect
31. #19099290C22semidirect
32. #19099284C22semidirect
33. #19099280C22semidirect
34. #19099280C22semidirect
35. #19099272C22semidirect
36. #19099271C22semidirect
37. #19099268C22semidirect
38. #19099268C22semidirect
39. #19099267C22semidirect
40. #19099267C22semidirect
41. #19099267C22semidirect
42. #19099264C22semidirect
43. #19099262C22semidirect
44. #19099262C22semidirect
45. #19099260C22semidirect
46. #19099259C22semidirect
47. #19099258C22semidirect
48. #19099256C22semidirect
49. #19099254C22semidirect
50. #19099253C22semidirect
51. #19099253C22semidirect
52. #19099253C22semidirect
53. #19099252C22semidirect
54. #19099250C22semidirect
55. #19099250C22semidirect
56. #19099249C22semidirect
57. #19099249C22semidirect
58. #19099246C22semidirect
59. #19099246C22semidirect
60. #19099246C22semidirect
61. #19099245C22semidirect
62. #19099245C22semidirect
63. #19099243C22semidirect
64. #19099243C22semidirect
65. #19099242C22semidirect
66. #19099242C22semidirect
67. #19099242C22semidirect
68. #19099242C22semidirect
69. #19099239C22semidirect
70. #19099239C22semidirect
71. #19099238C22semidirect
72. #19099237C22semidirect
73. #19099236C22semidirect
74. Q8×C22⋊D79C22semidirect
75. #19099226C22semidirect
76. #19099222C22semidirect
77. #19099221C22semidirect
78. #19099214C22semidirect
79. #19099213C22semidirect
80. #19099213C22semidirect
81. #19099213C22semidirect
82. #19099212C22semidirect
83. #19099211C22semidirect
84. #19099211C22semidirect
85. #19099211C22semidirect
86. #19099209C22semidirect
87. #19099203C22semidirect
88. #19099202C22semidirect
89. #19099202C22semidirect
90. #19099202C22semidirect
91. #19099202C22semidirect
92. #19099200C22semidirect
93. #19099200C22semidirect
94. #19099197C22semidirect
95. D4×C22⋊D79C22semidirect
96. #19099192C22semidirect
97. #19099189C22semidirect
98. #19099188C22semidirect
99. #19099181C22semidirect
100. #19099179C22semidirect
101. #19099177C22semidirect
102. #19099177C22semidirect
103. #19099172C22semidirect
104. #19099170C22semidirect
105. #19099170C22semidirect
106. #19099163C22semidirect
107. #19099162C22semidirect
108. #19099162C22semidirect
109. #19099162C22semidirect
110. #19099162C22semidirect
111. #19099162C22semidirect
112. #19099162C22semidirect
113. #19099161C22semidirect
114. #19099160C22semidirect
115. #19099159C22semidirect
116. #19099159C22semidirect
117. #19099158C22semidirect
118. #19099158C22semidirect
119. #19099158C22semidirect
120. #19099158C22semidirect
121. #19099158C22semidirect
122. #19099158C22semidirect
123. #19099158C22semidirect
124. #19099157C22semidirect
125. #19099157C22semidirect
126. #19099156C22semidirect
127. #19099156C22semidirect
128. #19099155C22semidirect
129. #19099155C22semidirect
130. #19099154C22semidirect
131. #19099151C22semidirect
132. #19099150C22semidirect
133. #19099149C22semidirect
134. #19099148C22semidirect
135. #19099148C22semidirect
136. #19099145C22semidirect
138. #19099135C22semidirect
139. #19099123C22semidirect
141. #19099122C22semidirect
143. #19099117C22semidirect
144. #19099116C22semidirect
145. #19099115C22semidirect
147. #19099097C22semidirect
148. #19099096C22semidirect
149. #19099095C22semidirect
150. #19099094C22semidirect
151. #19099094C22semidirect
152. #19099093C22semidirect
153. #19099093C22semidirect
154. #19099093C22semidirect
155. #19099092C22semidirect
156. #19099091C22semidirect
157. #19099091C22semidirect
158. #19099090C22semidirect
159. #19099090C22semidirect
160. #19099090C22semidirect
161. C2×#14579156C22semidirect
162. C2×#14579154C22semidirect
163. #126×D79C22semidirect
164. C2×#14579152C22semidirect
165. C2×#14579151C22semidirect
166. #125×D79C22semidirect
167. #19099074C22semidirect
168. #19099073C22semidirect
169. #19099072C22semidirect
170. #19099070C22semidirect
171. #19099069C22semidirect
172. #19099069C22semidirect
173. #19099069C22semidirect
174. C2×#14579146C22semidirect
175. C2×#14579145C22semidirect
176. C2×#14579142C22semidirect
177. C2×#14579142C22semidirect
178. #123×D79C22semidirect
179. #123×D79C22semidirect
180. C2×#14579140C22semidirect
181. C2×#14579138C22semidirect
182. C2×#14579137C22semidirect
183. C22⋊Q8×D79C22semidirect
184. C22⋊Q8×D79C22semidirect
187. #19099043C22semidirect
188. #19099042C22semidirect
189. #19099042C22semidirect
190. #19099042C22semidirect
191. #19099042C22semidirect
192. #19099042C22semidirect
193. #19099042C22semidirect
195. #19099036C22semidirect
196. #19099036C22semidirect
197. #19099035C22semidirect
198. #19099035C22semidirect
199. #19099031C22semidirect
200. C4×#11929623C22semidirect
201. C4×#11929623C22semidirect
202. C2×C4×Dic158C22semidirect
203. C2×#14579126C22semidirect
204. C2×D4×Dic79C22semidirect
205. C2×D4×Dic79C22semidirect
207. C2×C4×C22⋊D79C22semidirect
209. C2×(C22⋊D79)⋊C4C22semidirect
210. C2×(C22⋊D79)⋊C4C22semidirect
211. C2×(C22⋊D79)⋊C4C22semidirect
212. C4×D4×D79C22semidirect
213. C4×D4×D79C22semidirect
214. C2×#14579118C22semidirect
215. C2×#14579117C22semidirect
216. C2×#14579117C22semidirect
217. C22×Dic79⋊C4C22semidirect
218. C22×Dic79⋊C4C22semidirect
219. C2×C4⋊C4×D79C22semidirect
220. #553×C79C22semidirect
221. #553×C79C22semidirect
222. #552×C79C22semidirect
223. #551×C79C22semidirect
224. #548×C79C22semidirect
225. #546×C79C22semidirect
226. #539×C79C22semidirect
227. #538×C79C22semidirect
228. #534×C79C22semidirect
229. #529×C79C22semidirect
230. #525×C79C22semidirect
231. C2×C22⋊Q8×C79C22semidirect
233. #518×C79C22semidirect
234. C2×C4×D4×C79C22semidirect
686. C2×C22⋊D79#41semidirect
1094. #3505D79semidirect
1110. C79#62847semidirect
1132. #553C2×D79semidirect
1133. #553C2×D79semidirect
1148. #552C2×D79semidirect
1160. #551C2×D79semidirect
1165. #548C2×D79semidirect
1182. #546C2×D79semidirect
1220. #539C2×D79semidirect
1227. #538C2×D79semidirect
1234. #534C2×D79semidirect
1253. #529C2×D79semidirect
1267. #525C2×D79semidirect
1279. C2×C22⋊Q8C2×D79semidirect
1295. #518C2×D79semidirect
1311. C2×C4×D4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774612
#237774592
#237774422
#237774382
#237773712
#237773672
#237773332
#237773312
#237772602
#237772392
#237772382
#237771962
#237771572
#237771012
#237770932
#237770922
#237770412
#237768292
#237768072
#237768062
#237767822
C2×#190991622
C2×#190991582
#539×D792
#237766042
C2×#190990422
C79×#35052
#6284779