Finite Group Databasebeta

← #35197349

Subgroups — #35197349

Order 20224.

6846 conjugacy classes of subgroups.

The subgroup lattice has 1516 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777505C214yesmaximal, complemented
2#23777503C214yesmaximal, complemented
3#23777494C214yesmaximal, complemented
4#23777492C214yesmaximal, complemented
5#23777415C214yesmaximal, complemented
6#23777413C214yesmaximal, complemented
7#23777389C214yesmaximal, complemented
8#23777387C214yesmaximal, complemented
9#23777267C211yesmaximal, characteristic, complemented
10#23777262C211yesmaximal, characteristic, complemented
11#23777260C214yesmaximal, complemented
12#23777205C211yesmaximal, characteristic, complemented
13#23777166C211yesmaximal, characteristic, complemented
14#23777117C212yesmaximal, complemented
15#23777115C214yesmaximal, complemented
16#23777047C212yesmaximal, complemented
17#23776830C214yesmaximal, complemented
18#23776827C212yesmaximal, complemented
19#23776790C211yesmaximal, characteristic, complemented
20#23776782C214yesmaximal, complemented
21C4×#14579208C212yesmaximal, complemented
22C2×#19099040C211yesmaximal, characteristic, complemented
23C79×#3455C211yesmaximal, characteristic, complemented
24C2×#14579208C2212yes—
25C23×Dic158C2211yescharacteristic
26#19099299C2212yescomplemented
27#19099298C2212yescomplemented
28#19099297C2218yescomplemented
29Q8×Dic158C2212yescomplemented
30#19099293C2212yescomplemented
31#19099292C2212yescomplemented
32#19099291C2212yescomplemented
33#19099291C2214yescomplemented
34#19099290C2214yescomplemented
35#19099290C2218yescomplemented
36#19099288C2212yescomplemented
37#19099288C2212yescomplemented
38#19099287C2212yescomplemented
39#19099286C2214yescomplemented
40#19099284C2214yes—
41#19099284C2218yescomplemented
42#19099283C2214yes—
43#19099283C2212yescomplemented
44#19099282C2218yes—
45#19099282C2214yescomplemented
46#19099280C2218yes—
47#19099280C2218yescomplemented
48#19099280C2218yescomplemented
49#19099278C2214yes—
50#19099277C2218yes—
51#19099277C2214yes—
52#19099275C2218yes—
53#19099274C2212yescomplemented
54#19099270C2212yescomplemented
55#19099267C2218yescomplemented
56#19099260C2214yes—
57#19099259C2214yes—
58#19099258C2218yes—
59#19099256C2218yes—
60#19099253C2214yes—
61#19099253C2214yescomplemented
62#19099251C2214yescomplemented
63#19099250C2218yes—
64#19099250C2218yescomplemented
65#19099249C2218yes—
66#19099247C2214yes—
67#19099245C2218yescomplemented
68#19099234C2212yescomplemented
69#19099233C2212yescomplemented
70D4×Dic158C2214yes—
71D4×Dic158C2214yes—
72D4×Dic158C2212yescomplemented
73#19099228C2212yescomplemented
74#19099226C2214yes—
75#19099226C2214yes—
76#19099222C2214yes—
77#19099222C2214yes—
78#19099222C2214yescomplemented
79#19099221C2214yescomplemented
80#19099219C2214yes—
81#19099219C2214yes—
82#19099192C2214yes—
83#19099191C2212yes—
84#19099184C2212yes—
85#19099184C2212yes—
86#19099184C2214yescomplemented
87#19099183C2218yescomplemented
88#19099181C2218yes—
89#19099181C2218yescomplemented
90#19099178C2214yescomplemented
91#19099177C2218yes—
92#19099175C2212yes—
93#19099175C2214yescomplemented
94#19099172C2218yescomplemented
95#19099171C2214yescomplemented
96#19099170C2218yes—
97#19099170C2218yescomplemented
98#19099168C2212yes—
99#19099163C2218yes—
100#19099162C2214yes—
101#19099160C2212yes—
102#19099160C2212yes—
103#19099158C2214yes—
104#19099155C2218yes—
105#19099151C2212yes—
106#19099151C2212yes—
107#19099148C2218yes—
108#19099141C2212yes—
109#19099140C2214yes—
110#19099139C2212yes—
111#19099135C2218yes—
112#19099134C2212yes—
113#19099120C2211yescharacteristic
114#19099120C2214yescomplemented
115#19099119C2218yescomplemented
116#19099117C2214yescomplemented
117#19099115C2214yes—
118#19099115C2218yescomplemented
119#19099113C2211yescharacteristic
120#19099108C2214yes—
121#19099099C2214yes—
122#19099097C2214yescomplemented
123#19099096C2218yes—
124#19099096C2218yescomplemented
125#19099095C2214yescomplemented
126#19099094C2218yes—
127#19099094C2214yes—
128#19099093C2218yes—
129#19099092C2218yes—
130#19099091C2214yes—
131#19099091C2214yes—
132#19099090C2218yes—
133#19099090C2218yes—
134#19099090C2218yescomplemented
135#19099074C2212yes—
136#19099069C2218yes—
137#19099046C2212yes—
138#19099043C2212yes—
139#19099043C2214yescomplemented
140#19099042C2218yes—
141#19099042C2214yescomplemented
142#19099040C2212yes—
143#19099040C2214yes—
144#19099040C2214yes—
145#19099040C2214yes—
146#19099040C2214yes—
147#19099040C2214yescomplemented
148#19099039C2214yescomplemented
149C4×#11929624C2212yes—
150C4×#11929624C2214yescomplemented
151C4×#11929623C2218yes—
152C4×#11929623C2214yescomplemented
153C2×C4×Dic158C2211yescharacteristic
154C2×C4×Dic158C2211yescharacteristic
155C2×C4×Dic158C2211yescharacteristic
156C2×C4×Dic158C2211yescharacteristic
157C2×C4×Dic158C2214yescomplemented
158C2×#14579126C2212yes—
159C2×#14579126C2212yes—
160C4×Q8×D79C2214yescomplemented
161C2×#14579120C2211yescharacteristic
162C2×#14579117C2212yes—
163C2×#14579117C2212yes—
164#542×C79C2212yes—
165#542×C79C2212yes—
166#541×C79C2212yes—
167#540×C79C2212yes—
168#539×C79C2212yes—
169#539×C79C2212yes—
170#538×C79C2212yes—
171#538×C79C2212yes—
172#533×C79C2211yescharacteristic
173#532×C79C2211yescharacteristic
174#529×C79C2214yes—
175#529×C79C2214yes—
176#525×C79C2212yes—
177C4×#41×C79C2212yes—
178C2×#117×C79C2211yescharacteristic
179#14579208—216no—
180C2×#11929624C2312yes—
181C2×#11929624C2314yes—
182C2×#11929623C2318yes—
183C2×#11929623C2314yes—
184C22×Dic158—28no—
185C22×Dic158C2311yescharacteristic
186C22×Dic158C2314yes—
187C22×Dic158C2314yes—
188C22×Dic158C2314yes—
189C22×Dic158C2312yes—
190C22×Dic158C2311yescharacteristic
191C2×Q8×D79C2314yes—
192C23×Dic79C2312yes—
193#14579161C2314yes—
194#14579161C2311yescharacteristic
195#14579161C2311yescharacteristic
196#14579161C2311yescharacteristic
197#14579161C2314yes—
198#14579160C2314yes—
199#14579160C2318yes—
200#14579160C2318yes—
201#14579160C2314yes—
202#14579160C2314yes—
203#14579160C2318yes—
204#14579159C2314yes—
205#14579159C2314yes—
206#14579159C2318yes—
207#14579158C2311yescharacteristic
208#14579157C2314yes—
209#14579156C2314yes—
210#14579156C2314yes—
211#14579156C2318yes—
212#14579156C2318yes—
213#14579156C2318yes—
214#14579156C2318yes—
215#14579155C2318yes—
216#14579154C2318yes—
217#14579154C2318yes—
218#14579154C2314yes—
219#14579154C2314yes—
220#14579154C2318yes—
221#14579154C2318yes—
222#14579154C2318yes—
223#14579154C2318yes—
224#14579154C2318yes—
225#14579153C2318yes—
226#14579153C2312yes—
227#14579153C2314yes—
228#14579152C2318yes—
229#14579152C2314yes—
230#14579152C2314yes—
231#14579152C2314yes—
232#14579151C2318yes—
233#14579151C2318yes—
234#14579151C2314yes—
235#14579151C2314yes—
236#14579151C2318yes—
237#14579151C2318yes—
238#14579151C2318yes—
239#14579151C2318yes—
240#14579151C2318yes—
241#14579150C2314yes—
242#14579149C2314yes—
243#14579149C2312yes—
244#14579148C2318yes—
245#14579148C2314yes—
246#14579148C2314yes—
247#14579147C2318yes—
248#14579147C2314yes—
249#14579147C2314yes—
250#14579147C2318yes—
251#14579147C2318yes—
252#14579147C2318yes—
253#14579147C2318yes—
254#14579147C2318yes—
255#14579146C2314yes—
256#14579146C2314yes—
257#14579146C2318yes—
258#14579145C2318yes—
259#14579144C2318yes—
260#14579144C2314yes—
261#14579143C2318yes—
262#14579143C2314yes—
263#14579143C2314yes—
264#14579143C2318yes—
265#14579142C2318yes—
266#14579142C2318yes—
267#14579142C2318yes—
268#14579141C2314yes—
269#14579141C2314yes—
270#14579140C2314yes—
271#14579140C2312yes—
272#14579140C2312yes—
273#14579140C2318yes—
274#14579140C2312yes—
275#14579140C2312yes—
276#14579140C2314yes—
277#14579140C2314yes—
278#14579139C2318yes—
279#14579139C2318yes—
280#14579139C2314yes—
281#14579139C2314yes—
282#14579139C2318yes—
283#14579139C2318yes—
284#14579138C2318yes—
285#14579138C2318yes—
286#14579138C2318yes—
287#14579138C2318yes—
288#14579138C2318yes—
289#14579138C2318yes—
290#14579138C2318yes—
291#14579137C2314yes—
292#14579137C2318yes—
293#14579135C2312yes—
294#14579135C2314yes—
295#14579135C2312yes—
296#14579135C2312yes—
297#14579135C2312yes—
298#14579134C2318yes—
299#14579134C2314yes—
300#14579134C2314yes—
301#14579133C2318yes—
302#14579133C2318yes—
303#14579133C2318yes—
304#14579133C2318yes—
305#14579133C2318yes—
306#14579132C2314yes—
307#14579132C2318yes—
308#14579130C2314yes—
309Q8×Dic79C2314yes—
310Q8×Dic79C2314yes—
311Q8×Dic79C2314yes—
312C4×Dic158C2318yes—
313C4×Dic158C2314yes—
314C4×Dic158C2312yes—
315C4×Dic158C2312yes—
316C4×Dic158C2314yes—
317C4×Dic158C2312yes—
318C4×Dic158C2314yes—
319C4×Dic158C2314yes—
320C4×Dic158C2312yes—
321C4×Dic158C2312yes—
322C4×Dic158C2312yes—
323C4×Dic158C2318yes—
324C4×Dic158C2312yes—
325C4×Dic158C2314yes—
326C4×Dic158C2312yes—
327C4×Dic158C2312yes—
328C4×Dic158C2312yes—
329C4×Dic158C2318yes—
330C4×Dic158C2314yes—
331C4×Dic158C2312yes—
332C4×Dic158C2314yes—
333C4×Dic158C2312yes—
334#14579126C2318yes—
335#14579126C2318yes—
336#14579126C2318yes—
337#14579126C2314yes—
338#14579126C2314yes—
339#14579126C2318yes—
340#14579126C2318yes—
341#14579126C2318yes—
342#14579126C2314yes—
343#14579126C2314yes—
344#14579126C2318yes—
345#14579126C2318yes—
346C4×D316C2312yes—
347C4×D316C2312yes—
348C4×D316C2312yes—
349C4×D316C2312yes—
350C4×D316C2314yes—
351D4×Dic79C2318yes—
352D4×Dic79C2318yes—
353D4×Dic79C2318yes—
354D4×Dic79C2314yes—
355D4×Dic79C2314yes—
356D4×Dic79C2314yes—
357#14579123C2314yes—
358#14579123C2314yes—
359C4×C22⋊D79C2314yes—
360C4×C22⋊D79C2314yes—
361C4×C22⋊D79C2318yes—
362C4×C22⋊D79C2314yes—
363C4×C22⋊D79C2314yes—
364C4×C22⋊D79C2318yes—
365C4×C22⋊D79C2318yes—
366(C22⋊D79)⋊C4C2318yes—
367(C22⋊D79)⋊C4C2318yes—
368(C22⋊D79)⋊C4C2318yes—
369(C22⋊D79)⋊C4C2318yes—
370(C22⋊D79)⋊C4C2318yes—
371(C22⋊D79)⋊C4C2318yes—
372(C22⋊D79)⋊C4C2318yes—
373#14579120C2312yes—
374#14579120C2314yes—
375#14579120C2318yes—
376#14579120C2314yes—
377#14579120C2314yes—
378#14579119C2318yes—
379#14579119C2318yes—
380#14579119C2318yes—
381#14579119C2314yes—
382#14579118C2314yes—
383#14579118C2318yes—
384#14579118C2318yes—
385#14579117C2318yes—
386#14579117C2318yes—
387#14579117C2318yes—
388#14579117C2318yes—
389#14579117C2318yes—
390#14579117C2318yes—
391#14579117C2318yes—
392#14579117C2318yes—
393#14579117C2318yes—
394C2×C4⋊Dic79C2311yescharacteristic
395C2×C4⋊Dic79C2314yes—
396C2×C4⋊Dic79C2311yescharacteristic
397C2×Dic79⋊C4C2312yes—
398C2×Dic79⋊C4C2312yes—
399C2×Dic79⋊C4C2312yes—
400C2×Dic79⋊C4C2318yes—
401C2×Dic79⋊C4C2312yes—
402C4⋊C4×D79C2318yes—
403C4⋊C4×D79C2314yes—
404C2×C22⋊Dic79C2312yes—
405C2×C4×Dic79C2312yes—
406C2×C4×Dic79C2312yes—
407C2×C4×Dic79C2312yes—
408C2×C4×Dic79C2312yes—
409C2×C4×Dic79C2312yes—
410C2×C4×Dic79C2318yes—
411C42×D79C2318yes—
412C42×D79C2314yes—
413C2×#41×C79C2312yes—
414C23×C4×C79C2311yescharacteristic
415C4⋊Q8×C79C2311yescharacteristic
416C4⋊Q8×C79C2311yescharacteristic
417C4⋊Q8×C79C2311yescharacteristic
418#127×C79C2311yescharacteristic
419#126×C79C2314yes—
420#126×C79C2314yes—
421#126×C79C2314yes—
422#126×C79C2314yes—
423#125×C79C2314yes—
424#125×C79C2314yes—
425#125×C79C2312yes—
426#124×C79C2314yes—
427#124×C79C2312yes—
428#124×C79C2314yes—
429#123×C79C2314yes—
430#123×C79C2314yes—
431#123×C79C2314yes—
432#123×C79C2314yes—
433#123×C79C2314yes—
434C22⋊Q8×C79C2312yes—
435C22⋊Q8×C79C2314yes—
436C22⋊Q8×C79C2312yes—
437C22⋊Q8×C79C2312yes—
438C22⋊Q8×C79C2312yes—
439C22⋊Q8×C79C2314yes—
440#121×C79C2312yes—
441#121×C79C2312yes—
442#121×C79C2314yes—
443#121×C79C2312yes—
444#121×C79C2312yes—
445#121×C79C2314yes—
446#120×C79C2314yes—
447C4×Q8×C79C2312yes—
448C4×Q8×C79C2312yes—
449C4×Q8×C79C2312yes—
450C4×Q8×C79C2312yes—
451C4×D4×C79C2314yes—
452C4×D4×C79C2312yes—
453C4×D4×C79C2314yes—
454C4×D4×C79C2314yes—
455C4×D4×C79C2312yes—
456C4×D4×C79C2312yes—
457C4×D4×C79C2314yes—
458C4×D4×C79C2312yes—
459#117×C79C2312yes—
460#117×C79C2312yes—
461#117×C79C2314yes—
462#117×C79C2312yes—
463#117×C79C2312yes—
464#117×C79C2312yes—
465C2×C4⋊C4×C79C2311yescharacteristic
466C2×C4⋊C4×C79C2311yescharacteristic
467C2×C22⋊C4×C79C2311yescharacteristic
468C2×C22⋊C4×C79C2311yescharacteristic
469C2×C42×C79C2311yescharacteristic
470C2×C42×C79C2311yescharacteristic
471C2×C42×C79C2314yes—
472#11929624—216no—
473#11929624—28no—
474#11929623—232no—
475#11929623—216no—
476C2×Dic158—28no—
477C2×Dic158—216no—
478C2×Dic158—216no—
479C2×Dic158—216no—
480C2×Dic158—24no—
481C2×Dic158#4118yes—
482C2×Dic158C2418yes—
483C2×Dic158C2418yes—
484C2×Dic158C2412yes—
485C2×Dic158C2412yes—
486C2×Dic158C2412yes—
487C2×Dic158C2412yes—
488C2×Dic158C2418yes—
489C2×Dic158C2412yes—
490C2×Dic158C2412yes—
491C2×Dic158C2412yes—
492Q8×D79—216no—
493C2×D316C2412yes—
494C2×D316C2412yes—
495C2×D316C2412yes—
496C2×C22⋊D79C2414yes—
497C2×C22⋊D79C2418yes—
498C2×C22⋊D79C2414yes—
499C2×C22⋊D79C2414yes—
500C2×C22⋊D79C2418yes—
501C22×Dic79—28no—
502C22×Dic79C2412yes—
503C22×Dic79C2418yes—
504C22×Dic79C2418yes—
505C22×Dic79C2412yes—
506C22×Dic79C2412yes—
507C22×Dic79C2418yes—
508C22×Dic79C2412yes—
509C2×C4×D79C2418yes—
510C2×C4×D79C2414yes—
511C2×C4×D79C2414yes—
512C2×C4×D79C2414yes—
513C2×C4×D79C2418yes—
514C4⋊Dic79C2412yes—
515C4⋊Dic79C2418yes—
516C4⋊Dic79C2412yes—
517C4⋊Dic79C2412yes—
518C4⋊Dic79C2412yes—
519C4⋊Dic79C2412yes—
520C4⋊Dic79C2418yes—
521C4⋊Dic79C2418yes—
522C4⋊Dic79C2412yes—
523C4⋊Dic79C2412yes—
524C4⋊Dic79C2412yes—
525C4⋊Dic79C2418yes—
526C4⋊Dic79C2412yes—
527C4⋊Dic79C2412yes—
528Dic79⋊C4C2418yes—
529Dic79⋊C4C2418yes—
530Dic79⋊C4C2418yes—
531Dic79⋊C4C2414yes—
532Dic79⋊C4C2414yes—
533Dic79⋊C4C2414yes—
534Dic79⋊C4C2414yes—
535Dic79⋊C4C2418yes—
536Dic79⋊C4C2414yes—
537Dic79⋊C4C2418yes—
538Dic79⋊C4C2414yes—
539Dic79⋊C4C2414yes—
540Dic79⋊C4C2414yes—
541Dic79⋊C4C2418yes—
542Dic79⋊C4C2418yes—
543Dic79⋊C4C2418yes—
544Dic79⋊C4C2418yes—
545Dic79⋊C4C2418yes—
546Dic79⋊C4C2414yes—
547Dic79⋊C4C2414yes—
548C22⋊Dic79C2418yes—
549C22⋊Dic79C2414yes—
550C22⋊Dic79C2418yes—
551C22⋊Dic79C2418yes—
552C22⋊Dic79C2418yes—
553C22⋊Dic79C2414yes—
554C22⋊Dic79C2414yes—
555C22⋊Dic79C2418yes—
556(C2×D79)⋊C4C2414yes—
557(C2×D79)⋊C4C2418yes—
558(C2×D79)⋊C4C2414yes—
559(C2×D79)⋊C4C2418yes—
560(C2×D79)⋊C4C2418yes—
561(C2×D79)⋊C4C2414yes—
562(C2×D79)⋊C4C2414yes—
563(C2×D79)⋊C4C2414yes—
564(C2×D79)⋊C4C2414yes—
565(C2×D79)⋊C4C2418yes—
566C4×Dic79C2418yes—
567C4×Dic79C2414yes—
568C4×Dic79C2414yes—
569C4×Dic79C2418yes—
570C4×Dic79C2418yes—
571C4×Dic79C2414yes—
572C4×Dic79C2414yes—
573C4×Dic79C2418yes—
574C4×Dic79C2418yes—
575C4×Dic79C2414yes—
576C4×Dic79C2414yes—
577C4×Dic79C2414yes—
578C4×Dic79C2418yes—
579C4×Dic79C2418yes—
580C24×C79C2411yescharacteristic
581#41×C79—28no—
582C2×Q8×C79C2412yes—
583C2×Q8×C79C2412yes—
584C2×Q8×C79C2412yes—
585C2×D4×C79C2414yes—
586C2×D4×C79C2412yes—
587C2×D4×C79C2414yes—
588C2×D4×C79C2414yes—
589C2×D4×C79C2412yes—
590C2×D4×C79C2412yes—
591C22×C4×C79—24no—
592C22×C4×C79C2411yescharacteristic
593C22×C4×C79C2412yes—
594C22×C4×C79C2412yes—
595C22×C4×C79C2414yes—
596C22×C4×C79C2411yescharacteristic
597C22×C4×C79C2411yescharacteristic
598C22×C4×C79C2411yescharacteristic
599C22×C4×C79C2411yescharacteristic
600C22×C4×C79C2414yes—
601C22×C4×C79C2414yes—
602C22×C4×C79C2411yescharacteristic
603C4⋊C4×C79C2412yes—
604C4⋊C4×C79C2412yes—
605C4⋊C4×C79C2412yes—
606C4⋊C4×C79C2412yes—
607C4⋊C4×C79C2412yes—
608C4⋊C4×C79C2412yes—
609C4⋊C4×C79C2414yes—
610C4⋊C4×C79C2414yes—
611C4⋊C4×C79C2412yes—
612C4⋊C4×C79C2412yes—
613C4⋊C4×C79C2414yes—
614C4⋊C4×C79C2414yes—
615C4⋊C4×C79C2414yes—
616C4⋊C4×C79C2414yes—
617C4⋊C4×C79C2412yes—
618C4⋊C4×C79C2412yes—
619C22⋊C4×C79C2412yes—
620C22⋊C4×C79C2412yes—
621C22⋊C4×C79C2412yes—
622C22⋊C4×C79C2412yes—
623C22⋊C4×C79C2414yes—
624C22⋊C4×C79C2414yes—
625C22⋊C4×C79C2414yes—
626C22⋊C4×C79C2414yes—
627C22⋊C4×C79C2414yes—
628C22⋊C4×C79C2414yes—
629C22⋊C4×C79C2414yes—
630C22⋊C4×C79C2414yes—
631C22⋊C4×C79C2414yes—
632C42×C79C2412yes—
633C42×C79C2412yes—
634C42×C79C2414yes—
635C42×C79C2411yescharacteristic
636C42×C79C2411yescharacteristic
637C42×C79C2411yescharacteristic
638C42×C79C2411yescharacteristic
639C42×C79C2414yes—
640C42×C79C2414yes—
641C23×C79—22no—
642C23×C79—41no—
643C23×C79—41no—
644C23×C79C2512yes—
645C23×C79C2514yes—
646C23×C79C2511yescharacteristic
647C22×D79C2514yes—
648Q8×C79—24no—
649Q8×C79—42no—
650Q8×C79—42no—
651D4×C79—28no—
652D4×C79—24no—
653D4×C79—42no—
654D4×C79—42no—
655D4×C79—44no—
656D4×C79—44no—
657C2×C4×C79—22no—
658C2×C4×C79—24no—
659C2×C4×C79—24no—
660C2×C4×C79—28no—
661C2×C4×C79—41no—
662C2×C4×C79—41no—
663C2×C4×C79—44no—
664C2×C4×C79—44no—
665C2×C4×C79—41no—
666C2×C4×C79—41no—
667C2×C4×C79C2×#4114yes—
668C2×C4×C79C2512yes—
669C2×C4×C79C2512yes—
670C2×C4×C79C2511yescharacteristic
671C2×C4×C79C2514yes—
672C2×C4×C79C2511yescharacteristic
673C2×C4×C79C2512yes—
674C2×C4×C79C2511yescharacteristic
675C2×C4×C79C2511yescharacteristic
676C2×C4×C79C2514yes—
677C2×C4×C79C2514yes—
678C2×C4×C79C2511yescharacteristic
679C2×C4×C79C2511yescharacteristic
680C22⋊D79—28no—
681C22⋊D79—216no—
682C22⋊D79—48no—
683C22⋊D79—44no—
684C22⋊D79—44no—
685C2×Dic79—24no—
686C2×Dic79—216no—
687C2×Dic79—216no—
688C2×Dic79—42no—
689C2×Dic79—48no—
690C2×Dic79—42no—
691C2×Dic79C2×#4118yes—
692C2×Dic79C2514yes—
693C2×Dic79C2514yes—
694C2×Dic79C2514yes—
695C2×Dic79C2514yes—
696C2×Dic79C2514yes—
697C2×Dic79C2514yes—
698C2×Dic79C2514yes—
699D316—24no—
700D316—42no—
701D316—42no—
702C4×D79—28no—
703C4×D79—216no—
704C4×D79—44no—
705C4×D79—44no—
706C4×D79—48no—
707Dic158—24no—
708Dic158—24no—
709Dic158—24no—
710Dic158—216no—
711Dic158—216no—
712Dic158—48no—
713Dic158—42no—
714Dic158—42no—
715Dic158C2×#4118yes—
716Dic158C2×#4118yes—
717C22×C79—21no—
718C22×C79—21no—
719C22×C79—24no—
720C22×C79—22no—
721C22×C79—24no—
722C22×C79—22no—
723C22×C79—22no—
724C22×C79—24no—
725C22×C79—44no—
726C22×C79C22×#4112yes—
727C22×C79C2611yescharacteristic
728C2×D79—24no—
729C2×D79—24no—
730C2×D79—24no—
731C4×C79—22no—
732C4×C79—24no—
733C4×C79—22no—
734C4×C79—22no—
735C4×C79—21no—
736C4×C79—21no—
737C4×C79—24no—
738C4×C79—24no—
739C4×C79—21no—
740C4×C79—21no—
741C4×C79C22×#4112yes—
742C4×C79C22×#4112yes—
743Dic79—24no—
744Dic79—24no—
745Dic79—24no—
746Dic79—24no—
747Dic79—24no—
748Dic79—24no—
749Dic79C22×#4118yes—
750#62850—791nomaximal, Sylow
751C2×C79—22no—
752C2×C79—44no—
753C2×C79—42no—
754C2×C79C23×#4111yescharacteristic
755C2×C792−1+611yescharacteristic
756C2×C792−1+611yescharacteristic
757D79—44no—
758#3524—794no—
759#3524—794no—
760#3523—794no—
761#3523—794no—
762#3518—794no—
763#3518—794no—
764#3516—794no—
765#3516—794no—
766#3507—794no—
767#3507—791no—
768#3507—791no—
769#3502—791no—
770#3497—791no—
771#3493—794no—
772#3493—792no—
773#3486—792no—
774#3461—794no—
775#3461—792no—
776#3455—794no—
777#3455—791no—
778#3455D7911yescharacteristic, complemented
779C4×2−1+4—792no—
780C2×#519—791no—
781C79#6285011yescharacteristic, complemented, Sylow
782C2×2−1+4—792no—
783C23×Q8—791no—
784#559—792no—
785#559—798no—
786#559—792no—
787Q82—792no—
788Q82—792no—
789#557—792no—
790#557—792no—
791#557—794no—
792#557—798no—
793#557—792no—
794#557—794no—
795#557—792no—
796#556—792no—
797#556—798no—
798#556—798no—
799#556—798no—
800#556—798no—
801#556—794no—
802#556—794no—
803#556—798no—
804#556—794no—
805#556—794no—
806#556—792no—
807#555—798no—
808#555—794no—
809#555—798no—
810#555—794no—
811#554—792no—
812#554—798no—
813#554—792no—
814#553—798no—
815#553—798no—
816#553—794no—
817#553—794no—
818#552—798no—
819#552—798no—
820#552—794no—
821#552—798no—
822#552—798no—
823#552—794no—
824#552—794no—
825#552—794no—
826#550—792no—
827#550—792no—
828D4×Q8—792no—
829D4×Q8—794no—
830D4×Q8—794no—
831D4×Q8—794no—
832D4×Q8—794no—
833D4×Q8—792no—
834#548—794no—
835#548—794no—
836#548—794no—
837#548—794no—
838#548—794no—
839#548—794no—
840#544—794no—
841#544—792no—
842#542—798no—
843#542—798no—
844#542—798no—
845#542—798no—
846#542—794no—
847#542—792no—
848#542—792no—
849#542—794no—
850#542C2×D7912yes—
851#542C2×D7912yes—
852#541—798no—
853#541—798no—
854#541—798no—
855#541—794no—
856#541—792no—
857#541—794no—
858#541C2×D7912yes—
859#540—798no—
860#540—792no—
861#540C2×D7912yes—
862#539—794no—
863#539—794no—
864#539—798no—
865#539—792no—
866#539—792no—
867#539C2×D7912yes—
868#539C2×D7912yes—
869#538—798no—
870#538—792no—
871#538—792no—
872#538C2×D7912yes—
873#538C2×D7912yes—
874#537—792no—
875#537—794no—
876#536—792no—
877#536—798no—
878#536—792no—
879#533—798no—
880#533—794no—
881#533—798no—
882#533—794no—
883#533—791no—
884#533—794no—
885#533C2×D7911yescharacteristic
886#532—794no—
887#532—791no—
888#532C2×D7911yescharacteristic
889#529—798no—
890#529—798no—
891#529—798no—
892#529—798no—
893#529—798no—
894#529—798no—
895#529—794no—
896#529—798no—
897#529—794no—
898#529—798no—
899#529—794no—
900#529—794no—
901#529—794no—
902#529—794no—
903#529C2×D7914yes—
904#529C2×D7914yes—
905#525—792no—
906#525—798no—
907#525C2×D7912yes—
908#520—792no—
909#520—798no—
910#520—794no—
911#520—792no—
912#520—794no—
913#519—794no—
914#519—794no—
915#519—794no—
916#519—794no—
917#519—794no—
918#519—792no—
919#519—794no—
920C4×#41—798no—
921C4×#41—794no—
922C4×#41—792no—
923C4×#41—794no—
924C4×#41C2×D7912yes—
925C2×C4×Q8—794no—
926C2×C4×Q8—792no—
927C2×C4×Q8—792no—
928C2×C4×Q8—791no—
929C2×C4×Q8—791no—
930C2×C4×Q8—791no—
931C2×C4×Q8—791no—
932C2×C4×Q8—794no—
933C2×#117—791no—
934C2×#117—792no—
935C2×#117—792no—
936C2×#117C2×D7911yescharacteristic
9372−1+4—15816no—
938C2×#41—798no—
939C2×#41—794no—
940C2×#41—792no—
941C2×#41—794no—
942C2×#41C22×D7912yes—
943C22×Q8—794no—
944C22×Q8—791no—
945C22×Q8—792no—
946C22×Q8—791no—
947C22×Q8—794no—
948C22×Q8—794no—
949C22×Q8—794no—
950C22×Q8—1588no—
951C23×C4—792no—
952C23×C4C22×D7911yescharacteristic
953C4⋊Q8—794no—
954C4⋊Q8—794no—
955C4⋊Q8—798no—
956C4⋊Q8—794no—
957C4⋊Q8—798no—
958C4⋊Q8—798no—
959C4⋊Q8—794no—
960C4⋊Q8—798no—
961C4⋊Q8—794no—
962C4⋊Q8—791no—
963C4⋊Q8—794no—
964C4⋊Q8—791no—
965C4⋊Q8—791no—
966C4⋊Q8—794no—
967C4⋊Q8C22×D7911yescharacteristic
968C4⋊Q8C22×D7911yescharacteristic
969C4⋊Q8C22×D7911yescharacteristic
970#127—794no—
971#127—791no—
972#127C22×D7911yescharacteristic
973#126—794no—
974#126—798no—
975#126—794no—
976#126—798no—
977#126—798no—
978#126—798no—
979#126—794no—
980#126—798no—
981#126—798no—
982#126—798no—
983#126—794no—
984#126—798no—
985#126—798no—
986#126—798no—
987#126—798no—
988#126—798no—
989#126C22×D7914yes—
990#126C22×D7914yes—
991#126C22×D7914yes—
992#126C22×D7914yes—
993#125—798no—
994#125—794no—
995#125—794no—
996#125—798no—
997#125—798no—
998#125—798no—
999#125—798no—
1000#125—794no—
1001#125—794no—
1002#125—798no—
1003#125—798no—
1004#125—794no—
1005#125—798no—
1006#125—798no—
1007#125—794no—
1008#125—792no—
1009#125C22×D7914yes—
1010#125C22×D7914yes—
1011#125C22×D7912yes—
1012#124—794no—
1013#124—794no—
1014#124—798no—
1015#124—794no—
1016#124—794no—
1017#124—798no—
1018#124—798no—
1019#124—798no—
1020#124—794no—
1021#124—798no—
1022#124—798no—
1023#124—798no—
1024#124—794no—
1025#124—792no—
1026#124C22×D7914yes—
1027#124C22×D7914yes—
1028#124C22×D7912yes—
1029#123—798no—
1030#123—798no—
1031#123—798no—
1032#123—794no—
1033#123—798no—
1034#123—794no—
1035#123—798no—
1036#123—794no—
1037#123—798no—
1038#123—794no—
1039#123—798no—
1040#123—798no—
1041#123—794no—
1042#123C22×D7914yes—
1043#123C22×D7914yes—
1044#123C22×D7914yes—
1045#123C22×D7914yes—
1046#123C22×D7914yes—
1047C22⋊Q8—798no—
1048C22⋊Q8—794no—
1049C22⋊Q8—792no—
1050C22⋊Q8—792no—
1051C22⋊Q8—792no—
1052C22⋊Q8—798no—
1053C22⋊Q8—794no—
1054C22⋊Q8—792no—
1055C22⋊Q8—794no—
1056C22⋊Q8—794no—
1057C22⋊Q8—798no—
1058C22⋊Q8—794no—
1059C22⋊Q8—798no—
1060C22⋊Q8—794no—
1061C22⋊Q8—794no—
1062C22⋊Q8—798no—
1063C22⋊Q8—794no—
1064C22⋊Q8—798no—
1065C22⋊Q8—798no—
1066C22⋊Q8—798no—
1067C22⋊Q8—798no—
1068C22⋊Q8—798no—
1069C22⋊Q8—798no—
1070C22⋊Q8—798no—
1071C22⋊Q8—798no—
1072C22⋊Q8C22×D7912yes—
1073C22⋊Q8C22×D7912yes—
1074C22⋊Q8C22×D7912yes—
1075C22⋊Q8C22×D7914yes—
1076C22⋊Q8C22×D7914yes—
1077C22⋊Q8C22×D7912yes—
1078#121—798no—
1079#121—798no—
1080#121—798no—
1081#121—794no—
1082#121—798no—
1083#121—798no—
1084#121—798no—
1085#121—792no—
1086#121—792no—
1087#121—792no—
1088#121—794no—
1089#121—792no—
1090#121—794no—
1091#121—798no—
1092#121—794no—
1093#121C22×D7912yes—
1094#121C22×D7912yes—
1095#121C22×D7914yes—
1096#121C22×D7912yes—
1097#121C22×D7914yes—
1098#121C22×D7912yes—
1099#120—794no—
1100#120C22×D7914yes—
1101C4×Q8—794no—
1102C4×Q8—794no—
1103C4×Q8—794no—
1104C4×Q8—798no—
1105C4×Q8—798no—
1106C4×Q8—798no—
1107C4×Q8—798no—
1108C4×Q8—794no—
1109C4×Q8—798no—
1110C4×Q8—798no—
1111C4×Q8—794no—
1112C4×Q8—794no—
1113C4×Q8—798no—
1114C4×Q8—798no—
1115C4×Q8—794no—
1116C4×Q8—794no—
1117C4×Q8—794no—
1118C4×Q8—798no—
1119C4×Q8—792no—
1120C4×Q8—794no—
1121C4×Q8—794no—
1122C4×Q8—792no—
1123C4×Q8—792no—
1124C4×Q8—792no—
1125C4×Q8—792no—
1126C4×Q8—792no—
1127C4×Q8—792no—
1128C4×Q8—792no—
1129C4×Q8—792no—
1130C4×Q8—794no—
1131C4×Q8—794no—
1132C4×Q8—798no—
1133C4×Q8—792no—
1134C4×Q8—794no—
1135C4×Q8—792no—
1136C4×Q8—792no—
1137C4×Q8—798no—
1138C4×Q8C22×D7912yes—
1139C4×Q8C22×D7912yes—
1140C4×Q8C22×D7912yes—
1141C4×Q8C22×D7912yes—
1142C4×D4—798no—
1143C4×D4—794no—
1144C4×D4—798no—
1145C4×D4—798no—
1146C4×D4—794no—
1147C4×D4—794no—
1148C4×D4—794no—
1149C4×D4—798no—
1150C4×D4—794no—
1151C4×D4—798no—
1152C4×D4—794no—
1153C4×D4—794no—
1154C4×D4—798no—
1155C4×D4—794no—
1156C4×D4—794no—
1157C4×D4—798no—
1158C4×D4—798no—
1159C4×D4—798no—
1160C4×D4—798no—
1161C4×D4—798no—
1162C4×D4—798no—
1163C4×D4—798no—
1164C4×D4—792no—
1165C4×D4—792no—
1166C4×D4—794no—
1167C4×D4—792no—
1168C4×D4—792no—
1169C4×D4C22×D7914yes—
1170C4×D4C22×D7912yes—
1171C4×D4C22×D7914yes—
1172C4×D4C22×D7912yes—
1173C4×D4C22×D7914yes—
1174C4×D4C22×D7914yes—
1175C4×D4C22×D7912yes—
1176C4×D4C22×D7912yes—
1177#117—794no—
1178#117—794no—
1179#117—792no—
1180#117—794no—
1181#117—798no—
1182#117—798no—
1183#117—794no—
1184#117—798no—
1185#117—798no—
1186#117—798no—
1187#117—798no—
1188#117—798no—
1189#117—798no—
1190#117—798no—
1191#117—798no—
1192#117—798no—
1193#117—798no—
1194#117—798no—
1195#117—794no—
1196#117—798no—
1197#117—798no—
1198#117C22×D7912yes—
1199#117C22×D7912yes—
1200#117C22×D7912yes—
1201#117C22×D7912yes—
1202#117C22×D7912yes—
1203#117C22×D7914yes—
1204C2×C4⋊C4—792no—
1205C2×C4⋊C4—791no—
1206C2×C4⋊C4—792no—
1207C2×C4⋊C4—791no—
1208C2×C4⋊C4—792no—
1209C2×C4⋊C4—792no—
1210C2×C4⋊C4—798no—
1211C2×C4⋊C4—794no—
1212C2×C4⋊C4—798no—
1213C2×C4⋊C4—794no—
1214C2×C4⋊C4C22×D7911yescharacteristic
1215C2×C4⋊C4C22×D7911yescharacteristic
1216C2×C22⋊C4—792no—
1217C2×C22⋊C4C22×D7911yescharacteristic
1218C2×C22⋊C4C22×D7911yescharacteristic
1219C2×C42—792no—
1220C2×C42—792no—
1221C2×C42—792no—
1222C2×C42—792no—
1223C2×C42—792no—
1224C2×C42—798no—
1225C2×C42—798no—
1226C2×C42—794no—
1227C2×C42C22×D7911yescharacteristic
1228C2×C42C22×D7911yescharacteristic
1229C2×C42C22×D7914yes—
1230C24C23×D7911yescharacteristic
1231#41—28no—
1232#41—15816no—
1233#41—15832no—
1234#41—15816no—
1235#41—1588no—
1236C2×Q8—798no—
1237C2×Q8—792no—
1238C2×Q8—792no—
1239C2×Q8—798no—
1240C2×Q8—792no—
1241C2×Q8—792no—
1242C2×Q8—798no—
1243C2×Q8—792no—
1244C2×Q8—792no—
1245C2×Q8—798no—
1246C2×Q8—792no—
1247C2×Q8—1588no—
1248C2×Q8—15816no—
1249C2×Q8—15816no—
1250C2×Q8—15816no—
1251C2×Q8—15816no—
1252C2×Q8—1584no—
1253C2×Q8C23×D7912yes—
1254C2×Q8C23×D7912yes—
1255C2×Q8C23×D7912yes—
1256C2×D4—794no—
1257C2×D4—794no—
1258C2×D4—798no—
1259C2×D4—794no—
1260C2×D4—798no—
1261C2×D4—792no—
1262C2×D4—792no—
1263C2×D4—792no—
1264C2×D4C23×D7914yes—
1265C2×D4C23×D7912yes—
1266C2×D4C23×D7914yes—
1267C2×D4C23×D7914yes—
1268C2×D4C23×D7912yes—
1269C2×D4C23×D7912yes—
1270C22×C4—24no—
1271C22×C4—792no—
1272C22×C4—792no—
1273C22×C4—798no—
1274C22×C4—794no—
1275C22×C4—798no—
1276C22×C4—794no—
1277C22×C4—792no—
1278C22×C4—792no—
1279C22×C4—798no—
1280C22×C4—798no—
1281C22×C4—798no—
1282C22×C4—794no—
1283C22×C4—1588no—
1284C22×C4C23×D7911yescharacteristic
1285C22×C4C23×D7914yes—
1286C22×C4C23×D7912yes—
1287C22×C4C23×D7912yes—
1288C22×C4C23×D7911yescharacteristic
1289C22×C4C23×D7911yescharacteristic
1290C22×C4C23×D7911yescharacteristic
1291C22×C4C23×D7911yescharacteristic
1292C22×C4C23×D7914yes—
1293C22×C4C23×D7914yes—
1294C22×C4C23×D7911yescharacteristic
1295C4⋊C4—798no—
1296C4⋊C4—798no—
1297C4⋊C4—798no—
1298C4⋊C4—794no—
1299C4⋊C4—794no—
1300C4⋊C4—794no—
1301C4⋊C4—794no—
1302C4⋊C4—798no—
1303C4⋊C4—794no—
1304C4⋊C4—798no—
1305C4⋊C4—794no—
1306C4⋊C4—798no—
1307C4⋊C4—794no—
1308C4⋊C4—794no—
1309C4⋊C4—798no—
1310C4⋊C4—798no—
1311C4⋊C4—798no—
1312C4⋊C4—798no—
1313C4⋊C4—794no—
1314C4⋊C4—794no—
1315C4⋊C4—792no—
1316C4⋊C4—792no—
1317C4⋊C4—792no—
1318C4⋊C4—798no—
1319C4⋊C4—792no—
1320C4⋊C4—792no—
1321C4⋊C4—792no—
1322C4⋊C4—798no—
1323C4⋊C4—798no—
1324C4⋊C4—792no—
1325C4⋊C4—792no—
1326C4⋊C4—792no—
1327C4⋊C4—798no—
1328C4⋊C4—792no—
1329C4⋊C4C23×D7912yes—
1330C4⋊C4C23×D7914yes—
1331C4⋊C4C23×D7912yes—
1332C4⋊C4C23×D7912yes—
1333C4⋊C4C23×D7912yes—
1334C4⋊C4C23×D7912yes—
1335C4⋊C4C23×D7912yes—
1336C4⋊C4C23×D7914yes—
1337C4⋊C4C23×D7914yes—
1338C4⋊C4C23×D7914yes—
1339C4⋊C4C23×D7912yes—
1340C4⋊C4C23×D7912yes—
1341C4⋊C4C23×D7912yes—
1342C4⋊C4C23×D7914yes—
1343C4⋊C4C23×D7914yes—
1344C4⋊C4C23×D7912yes—
1345C22⋊C4—798no—
1346C22⋊C4—794no—
1347C22⋊C4—798no—
1348C22⋊C4—798no—
1349C22⋊C4—798no—
1350C22⋊C4—794no—
1351C22⋊C4—794no—
1352C22⋊C4—798no—
1353C22⋊C4—794no—
1354C22⋊C4—798no—
1355C22⋊C4—794no—
1356C22⋊C4—798no—
1357C22⋊C4—794no—
1358C22⋊C4—794no—
1359C22⋊C4—798no—
1360C22⋊C4—798no—
1361C22⋊C4—794no—
1362C22⋊C4—794no—
1363C22⋊C4C23×D7912yes—
1364C22⋊C4C23×D7912yes—
1365C22⋊C4C23×D7912yes—
1366C22⋊C4C23×D7912yes—
1367C22⋊C4C23×D7914yes—
1368C22⋊C4C23×D7914yes—
1369C22⋊C4C23×D7914yes—
1370C22⋊C4C23×D7914yes—
1371C22⋊C4C23×D7914yes—
1372C22⋊C4C23×D7914yes—
1373C22⋊C4C23×D7914yes—
1374C22⋊C4C23×D7914yes—
1375C22⋊C4C23×D7914yes—
1376C42—798no—
1377C42—794no—
1378C42—798no—
1379C42—798no—
1380C42—794no—
1381C42—794no—
1382C42—798no—
1383C42—794no—
1384C42—798no—
1385C42—798no—
1386C42—798no—
1387C42—794no—
1388C42—794no—
1389C42—794no—
1390C42C23×D7912yes—
1391C42C23×D7914yes—
1392C42C23×D7912yes—
1393C42C23×D7914yes—
1394C42C23×D7911yescharacteristic
1395C42C23×D7911yescharacteristic
1396C42C23×D7914yes—
1397C42C23×D7911yescharacteristic
1398C42C23×D7911yescharacteristic
1399C23—22no—
1400C23—41no—
1401C23—41no—
1402C23—794no—
1403C23C24×D7912yes—
1404C23C24×D7914yes—
1405C23C24×D7911yescharacteristic
1406Q8—24no—
1407Q8—42no—
1408Q8—42no—
1409Q8—3162no—
1410Q8—3168no—
1411Q8—3162no—
1412Q8—798no—
1413Q8—798no—
1414Q8—15816no—
1415Q8—15816no—
1416Q8—1584no—
1417Q8—1584no—
1418Q8—1584no—
1419D4—28no—
1420D4—24no—
1421D4—44no—
1422D4—42no—
1423D4—42no—
1424D4—44no—
1425D4—3162no—
1426D4—3162no—
1427D4—3164no—
1428D4—3168no—
1429D4—3164no—
1430D4—15816no—
1431D4—1588no—
1432D4—1584no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—24no—
1436C2×C4—28no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—44no—
1440C2×C4—44no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—3164no—
1444C2×C4—3164no—
1445C2×C4—3168no—
1446C2×C4—3162no—
1447C2×C4—3168no—
1448C2×C4—3162no—
1449C2×C4—794no—
1450C2×C4—798no—
1451C2×C4—794no—
1452C2×C4—794no—
1453C2×C4—794no—
1454C2×C4—794no—
1455C2×C4—794no—
1456C2×C4—794no—
1457C2×C4—15816no—
1458C2×C4—15816no—
1459C2×C4—15816no—
1460C2×C4—1584no—
1461C2×C4—1588no—
1462C2×C4#41×D7914yes—
1463C2×C4C24×D7912yes—
1464C2×C4C24×D7912yes—
1465C2×C4C24×D7911yescharacteristic
1466C2×C4C24×D7914yes—
1467C2×C4C24×D7911yescharacteristic
1468C2×C4C24×D7911yescharacteristic
1469C2×C4C24×D7911yescharacteristic
1470C2×C4C24×D7912yes—
1471C2×C4C24×D7914yes—
1472C2×C4C24×D7914yes—
1473C2×C4C24×D7911yescharacteristic
1474C2×C4C24×D7911yescharacteristic
1475C22—21no—
1476C22—21no—
1477C22—22no—
1478C22—24no—
1479C22—24no—
1480C22—24no—
1481C22—22no—
1482C22—22no—
1483C22—44no—
1484C22—1584no—
1485C22—1584no—
1486C22—1584no—
1487C22C2×#41×D7912yes—
1488C22C25×D7911yescharacteristic
1489C4—22no—
1490C4—24no—
1491C4—22no—
1492C4—22no—
1493C4—24no—
1494C4—21no—
1495C4—21no—
1496C4—24no—
1497C4—21no—
1498C4—21no—
1499C4—798no—
1500C4—1584no—
1501C4—1584no—
1502C4—1584no—
1503C4—1584no—
1504C4—1584no—
1505C4—1584no—
1506C4C2×#41×D7912yes—
1507C4C2×#41×D7912yes—
1508C2—22no—
1509C2—42no—
1510C2—44no—
1511C2—3164no—
1512C2C22×#41×D7911yescharacteristic
1513C2#2377821311yescharacteristic
1514C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3455C2
hypercenter#3455D79
hypocenterC79#62850
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3455

Complements

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

NH ≅ G/Ntype
1. #23777505C2semidirect
2. #23777503C2semidirect
3. #23777494C2semidirect
4. #23777492C2semidirect
5. #23777415C2semidirect
6. #23777413C2semidirect
7. #23777389C2semidirect
8. #23777387C2semidirect
9. #23777267C2semidirect
10. #23777262C2semidirect
11. #23777260C2semidirect
12. #23777205C2semidirect
13. #23777166C2semidirect
14. #23777117C2semidirect
15. #23777115C2semidirect
16. #23777047C2semidirect
17. #23776830C2semidirect
18. #23776827C2semidirect
19. #23776790C2semidirect
20. #23776782C2semidirect
21. C4×#14579208C2semidirect
22. C2×#19099040C2semidirect
23. C79×#3455C2semidirect
26. #19099299C22semidirect
27. #19099298C22semidirect
28. #19099297C22semidirect
29. Q8×Dic158C22semidirect
30. #19099293C22semidirect
31. #19099292C22semidirect
32. #19099291C22semidirect
33. #19099291C22semidirect
34. #19099290C22semidirect
35. #19099290C22semidirect
36. #19099288C22semidirect
37. #19099288C22semidirect
38. #19099287C22semidirect
39. #19099286C22semidirect
41. #19099284C22semidirect
43. #19099283C22semidirect
45. #19099282C22semidirect
47. #19099280C22semidirect
48. #19099280C22semidirect
53. #19099274C22semidirect
54. #19099270C22semidirect
55. #19099267C22semidirect
61. #19099253C22semidirect
62. #19099251C22semidirect
64. #19099250C22semidirect
67. #19099245C22semidirect
68. #19099234C22semidirect
69. #19099233C22semidirect
72. D4×Dic158C22semidirect
73. #19099228C22semidirect
78. #19099222C22semidirect
79. #19099221C22semidirect
86. #19099184C22semidirect
87. #19099183C22semidirect
89. #19099181C22semidirect
90. #19099178C22semidirect
93. #19099175C22semidirect
94. #19099172C22semidirect
95. #19099171C22semidirect
97. #19099170C22semidirect
114. #19099120C22semidirect
115. #19099119C22semidirect
116. #19099117C22semidirect
118. #19099115C22semidirect
122. #19099097C22semidirect
124. #19099096C22semidirect
125. #19099095C22semidirect
134. #19099090C22semidirect
139. #19099043C22semidirect
141. #19099042C22semidirect
147. #19099040C22semidirect
148. #19099039C22semidirect
150. C4×#11929624C22semidirect
152. C4×#11929623C22semidirect
157. C2×C4×Dic158C22semidirect
160. C4×Q8×D79C22semidirect
778. #3455D79semidirect
781. C79#62850semidirect

Maximal subgroups

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

subgroupindex
#237775052
#237775032
#237774942
#237774922
#237774152
#237774132
#237773892
#237773872
#237772672
#237772622
#237772602
#237772052
#237771662
#237771172
#237771152
#237770472
#237768302
#237768272
#237767902
#237767822
C4×#145792082
C2×#190990402
C79×#34552
#6285079