Finite Group Databasebeta

← #35201994

Subgroups — #35201994

Order 20224.

6184 conjugacy classes of subgroups.

The subgroup lattice has 2136 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778010C211yesmaximal, characteristic, complemented
2#23778008C214yesmaximal, complemented
3#23778007C212yesmaximal, complemented
4#23778006C212yesmaximal, complemented
5#23778005C212yesmaximal, complemented
6#23778004C212yesmaximal, complemented
7#23778003C211yesmaximal, characteristic, complemented
8#23778003C212yesmaximal, complemented
9#23778001C212yesmaximal, complemented
10#23778001C214yesmaximal, complemented
11#23777997C214yesmaximal, complemented
12#23777997C214yesmaximal, complemented
13#23777895C211yesmaximal, characteristic, complemented
14#23777893C212yesmaximal, complemented
15#23777892C212yesmaximal, complemented
16#23777853C212yesmaximal, complemented
17#23777850C214yesmaximal, complemented
18#23777848C214yesmaximal, complemented
19#23777545C211yesmaximal, characteristic, complemented
20C2×C79⋊#564C212yesmaximal, complemented
21#23777378C211yesmaximal, characteristic, complemented
22#23777369C212yesmaximal, complemented
23#23777368C212yesmaximal, complemented
24#23777365C212yesmaximal, complemented
25#23777365C212yesmaximal, complemented
26#23777226C211yesmaximal, characteristic, complemented
27#23777222C212yesmaximal, complemented
28#23777220C212yesmaximal, complemented
29C79×#3515C211yesmaximal, characteristic, complemented
30C79⋊#564C2211yescharacteristic
31C79⋊#564C2214yes—
32C79⋊#564C2214yes—
33C79⋊#564C2212yes—
34C79⋊#564C2214yes—
35C79⋊#564C2214yes—
36C79⋊#564C2214yes—
37C79⋊#564C2212yes—
38C79⋊#564C2212yes—
39C79⋊#564C2214yes—
40C79⋊#564C2214yes—
41C79⋊#564C2214yes—
42C79⋊#564C2212yes—
43#19099317C2211yescharacteristic
44#19099317C2212yes—
45#19099316C2212yes—
46#19099316C2214yes—
47#19099315C2212yes—
48#19099315C2212yes—
49#19099315C2214yes—
50#19099315C2214yes—
51#19099314C2212yes—
52#19099314C2214yes—
53#19099313C2211yescharacteristic
54#19099313C2212yes—
55#19099310C2212yes—
56#19099308C2212yes—
57#19099307C2211yescharacteristic
58#19099292C2212yes—
59#19099292C2212yes—
60#19099292C2212yes—
61#19099291C2212yes—
62#19099291C2211yescharacteristic
63#19099291C2212yes—
64#19099291C2214yes—
65#19099291C2212yes—
66#19099290C2214yes—
67#19099290C2212yes—
68#19099290C2212yes—
69#19099290C2214yes—
70#19099290C2214yes—
71#19099289C2212yes—
72#19099289C2212yes—
73#19099289C2212yes—
74#19099289C2212yes—
75#19099288C2212yes—
76#19099288C2212yes—
77#19099288C2212yes—
78#19099288C2212yes—
79#19099273C2211yescharacteristic
80#19099272C2214yes—
81#19099272C2214yes—
82#19099272C2214yes—
83#19099272C2214yes—
84#19099272C2212yes—
85#19099272C2212yes—
86#19099272C2212yes—
87#19099271C2214yes—
88#19099271C2212yes—
89#19099271C2212yes—
90#19099270C2214yes—
91#19099270C2214yes—
92#19099270C2212yes—
93#19099270C2212yes—
94#19099270C2211yescharacteristic
95#19099268C2214yes—
96#19099268C2212yes—
97#19099267C2214yes—
98#19099267C2214yes—
99#19099265C2214yes—
100#19099262C2214yes—
101#19099259C2212yes—
102#19099256C2214yes—
103#19099256C2214yes—
104#19099255C2214yes—
105#19099255C2212yes—
106#19099255C2212yes—
107#19099254C2212yes—
108#19099253C2214yes—
109#19099253C2212yes—
110#19099253C2212yes—
111#19099253C2214yes—
112#19099253C2212yes—
113#19099252C2214yes—
114#19099252C2212yes—
115#19099251C2214yes—
116#19099250C2214yes—
117#19099250C2214yes—
118#19099250C2214yes—
119#19099250C2214yes—
120#19099250C2214yes—
121#19099250C2214yes—
122#19099250C2214yes—
123#19099250C2214yes—
124#19099249C2214yes—
125#19099249C2214yes—
126#19099248C2214yes—
127#19099248C2214yes—
128#19099248C2212yes—
129#19099248C2214yes—
130#19099247C2212yes—
131#19099247C2212yes—
132#19099246C2214yes—
133#19099246C2214yes—
134#19099246C2214yes—
135#19099246C2214yes—
136#19099246C2214yes—
137#19099217C2211yescharacteristic
138#19099212C2212yes—
139#19099212C2212yes—
140#19099212C2212yes—
141#19099194C2212yes—
142#19099194C2214yes—
143#19099193C2212yes—
144#19099193C2214yes—
145#19099193C2214yes—
146#19099192C2214yes—
147#19099192C2214yes—
148#19099192C2212yes—
149#19099192C2214yes—
150#19099192C2212yes—
151#19099191C2214yes—
152#19099191C2212yes—
153#19099191C2212yes—
154#19099191C2212yes—
155#19099191C2211yescharacteristic
156#19099191C2211yescharacteristic
157#19099191C2214yes—
158#19099190C2212yes—
159#19099176C2214yes—
160#19099176C2214yes—
161#19099175C2214yes—
162#19099175C2212yes—
163#19099175C2214yes—
164#19099174C2212yes—
165#19099174C2212yes—
166#19099173C2214yes—
167#19099173C2212yes—
168#19099173C2212yes—
169#19099173C2212yes—
170#19099173C2212yes—
171#19099173C2214yes—
172#19099172C2214yes—
173#19099172C2214yes—
174#19099172C2214yes—
175#19099172C2214yes—
176#19099171C2214yes—
177#19099171C2212yes—
178#19099171C2212yes—
179#19099171C2214yes—
180#19099170C2214yes—
181#19099170C2214yes—
182#19099170C2214yes—
183#19099170C2214yes—
184#19099170C2214yes—
185#19099170C2214yes—
186#19099170C2214yes—
187#19099170C2214yes—
188#19099162C2212yes—
189#19099160C2214yes—
190#19099158C2212yes—
191#19099158C2214yes—
192#19099158C2214yes—
193#19099157C2214yes—
194#19099157C2214yes—
195#19099157C2214yes—
196#19099157C2214yes—
197#19099157C2214yes—
198#19099156C2214yes—
199#19099155C2214yes—
200#19099155C2214yes—
201#19099155C2214yes—
202#19099154C2214yes—
203#19099120C2211yescharacteristic
204#19099120C2211yescharacteristic
205#19099120C2212yes—
206#19099118C2212yes—
207#19099117C2212yes—
208#19099117C2212yes—
209#19099116C2212yes—
210#19099116C2214yes—
211#19099115C2212yes—
212#19099115C2212yes—
213#19099115C2214yes—
214#19099097C2211yescharacteristic
215#19099097C2212yes—
216#19099095C2212yes—
217#19099094C2214yes—
218#19099093C2212yes—
219#19099093C2212yes—
220#19099093C2214yes—
221#19099091C2212yes—
222#19099090C2214yes—
223#19099090C2214yes—
224C2×#14579153C2212yes—
225C2×#14579153C2212yes—
226C2×#14579153C2211yescharacteristic
227C2×#14579152C2214yes—
228C2×#14579152C2214yes—
229C2×#14579152C2212yes—
230C2×#14579151C2214yes—
231C2×#14579151C2214yes—
232C2×#14579151C2214yes—
233C2×#14579151C2214yes—
234#125×D79C2212yes—
235#19099046C2211yescharacteristic
236#19099046C2212yes—
237#19099046C2211yescharacteristic
238#19099042C2212yes—
239#19099042C2212yes—
240#41×Dic79C2212yes—
241C4×#11929623C2212yes—
242#557×C79C2211yescharacteristic
243#554×C79C2211yescharacteristic
244#554×C79C2211yescharacteristic
245#553×C79C2212yes—
246#552×C79C2212yes—
247#552×C79C2214yes—
248#552×C79C2212yes—
249#547×C79C2211yescharacteristic
250#547×C79C2212yes—
251#541×C79C2212yes—
252#539×C79C2214yes—
253#533×C79C2211yescharacteristic
254#529×C79C2211yescharacteristic
255#529×C79C2212yes—
256C2×#125×C79C2212yes—
257#520×C79C2212yes—
258C4×#41×C79C2211yescharacteristic
259C2×#11929623C2312yes—
260#14579161C2312yes—
261#14579161C2311yescharacteristic
262#14579161C2314yes—
263#14579161C2312yes—
264#14579161C2314yes—
265#14579161C2311yescharacteristic
266#14579161C2311yescharacteristic
267#14579161C2311yescharacteristic
268#14579161C2312yes—
269#14579160C2314yes—
270#14579160C2314yes—
271#14579160C2314yes—
272#14579160C2314yes—
273#14579160C2314yes—
274#14579160C2314yes—
275#14579160C2314yes—
276#14579160C2314yes—
277#14579160C2314yes—
278#14579160C2312yes—
279#14579160C2312yes—
280#14579160C2312yes—
281#14579160C2312yes—
282#14579160C2312yes—
283#14579160C2312yes—
284#14579159C2314yes—
285#14579159C2312yes—
286#14579159C2312yes—
287#14579159C2314yes—
288#14579159C2312yes—
289#14579159C2314yes—
290#14579159C2312yes—
291#14579156C2314yes—
292#14579156C2314yes—
293#14579156C2314yes—
294#14579156C2314yes—
295#14579156C2314yes—
296#14579156C2314yes—
297#14579156C2314yes—
298#14579156C2314yes—
299#14579156C2312yes—
300#14579156C2312yes—
301#14579156C2314yes—
302#14579156C2312yes—
303#14579155C2314yes—
304#14579155C2314yes—
305#14579155C2314yes—
306#14579155C2312yes—
307#14579154C2314yes—
308#14579154C2314yes—
309#14579154C2314yes—
310#14579154C2314yes—
311#14579154C2314yes—
312#14579154C2314yes—
313#14579154C2314yes—
314#14579154C2314yes—
315#14579154C2314yes—
316#14579154C2314yes—
317#14579154C2314yes—
318#14579154C2314yes—
319#14579154C2314yes—
320#14579154C2312yes—
321#14579154C2312yes—
322#14579154C2312yes—
323#14579154C2314yes—
324#14579154C2314yes—
325#14579154C2312yes—
326#14579154C2312yes—
327#14579153C2314yes—
328#14579153C2314yes—
329#14579153C2314yes—
330#14579153C2314yes—
331#14579153C2312yes—
332#14579153C2312yes—
333#14579153C2312yes—
334#14579153C2314yes—
335#14579153C2314yes—
336#14579153C2314yes—
337#14579153C2312yes—
338#14579153C2312yes—
339#14579153C2314yes—
340#14579153C2312yes—
341#14579153C2312yes—
342#14579153C2312yes—
343#14579153C2311yescharacteristic
344#14579153C2312yes—
345#14579153C2311yescharacteristic
346#14579153C2311yescharacteristic
347#14579153C2312yes—
348#14579152C2314yes—
349#14579152C2314yes—
350#14579152C2314yes—
351#14579152C2314yes—
352#14579152C2314yes—
353#14579152C2314yes—
354#14579152C2314yes—
355#14579152C2314yes—
356#14579152C2314yes—
357#14579152C2314yes—
358#14579152C2314yes—
359#14579152C2314yes—
360#14579152C2314yes—
361#14579152C2314yes—
362#14579152C2312yes—
363#14579152C2314yes—
364#14579152C2312yes—
365#14579152C2314yes—
366#14579152C2314yes—
367#14579152C2314yes—
368#14579152C2312yes—
369#14579152C2312yes—
370#14579152C2312yes—
371#14579152C2314yes—
372#14579152C2312yes—
373#14579152C2314yes—
374#14579152C2314yes—
375#14579152C2312yes—
376#14579152C2314yes—
377#14579152C2312yes—
378#14579152C2312yes—
379#14579152C2314yes—
380#14579151C2314yes—
381#14579151C2314yes—
382#14579151C2314yes—
383#14579151C2314yes—
384#14579151C2314yes—
385#14579151C2314yes—
386#14579151C2314yes—
387#14579151C2314yes—
388#14579151C2314yes—
389#14579151C2314yes—
390#14579151C2314yes—
391#14579151C2314yes—
392#14579151C2314yes—
393#14579151C2314yes—
394#14579151C2314yes—
395#14579151C2314yes—
396#14579151C2314yes—
397#14579151C2314yes—
398#14579151C2314yes—
399#14579151C2314yes—
400#14579151C2314yes—
401#14579151C2314yes—
402#14579151C2314yes—
403#14579151C2314yes—
404#14579151C2314yes—
405#14579151C2314yes—
406#14579151C2314yes—
407#14579151C2314yes—
408#14579151C2314yes—
409#14579151C2314yes—
410#14579151C2314yes—
411#14579151C2314yes—
412#14579151C2314yes—
413#14579151C2314yes—
414#14579151C2314yes—
415#14579151C2314yes—
416#14579151C2314yes—
417#14579151C2314yes—
418#14579151C2314yes—
419#14579151C2314yes—
420#14579151C2314yes—
421#14579151C2312yes—
422#14579151C2312yes—
423#14579151C2314yes—
424#14579151C2314yes—
425#14579151C2312yes—
426#14579151C2312yes—
427#14579151C2314yes—
428#14579151C2312yes—
429#14579151C2314yes—
430#14579149C2311yescharacteristic
431#14579148C2312yes—
432#14579147C2312yes—
433#14579147C2312yes—
434#14579147C2312yes—
435#14579146C2314yes—
436#14579146C2312yes—
437#14579145C2314yes—
438#14579145C2314yes—
439#14579145C2314yes—
440#14579145C2312yes—
441#14579145C2312yes—
442#14579144C2314yes—
443#14579144C2312yes—
444#14579144C2314yes—
445#14579144C2314yes—
446#14579144C2314yes—
447#14579143C2314yes—
448#14579143C2314yes—
449#14579143C2312yes—
450#14579143C2314yes—
451#14579143C2312yes—
452#14579143C2312yes—
453#14579142C2314yes—
454#14579142C2314yes—
455#14579142C2314yes—
456#14579142C2314yes—
457#14579142C2314yes—
458#14579142C2312yes—
459#14579142C2312yes—
460#14579141C2314yes—
461#14579141C2314yes—
462#14579141C2314yes—
463#14579141C2314yes—
464#14579141C2312yes—
465#14579141C2312yes—
466#14579141C2312yes—
467#14579140C2312yes—
468#14579140C2314yes—
469#14579140C2314yes—
470#14579140C2314yes—
471#14579140C2314yes—
472#14579140C2314yes—
473#14579140C2314yes—
474#14579140C2312yes—
475#14579140C2312yes—
476#14579140C2312yes—
477#14579140C2312yes—
478#14579140C2312yes—
479#14579140C2311yescharacteristic
480#14579140C2314yes—
481#14579140C2312yes—
482#14579139C2314yes—
483#14579139C2314yes—
484#14579139C2314yes—
485#14579139C2314yes—
486#14579139C2314yes—
487#14579139C2312yes—
488#14579139C2312yes—
489#14579139C2312yes—
490#14579138C2314yes—
491#14579138C2314yes—
492#14579138C2314yes—
493#14579138C2314yes—
494#14579138C2314yes—
495#14579138C2314yes—
496#14579138C2314yes—
497#14579138C2314yes—
498#14579138C2314yes—
499#14579138C2314yes—
500#14579138C2314yes—
501#14579138C2314yes—
502#14579138C2314yes—
503#14579138C2314yes—
504#14579138C2314yes—
505#14579138C2314yes—
506#14579138C2312yes—
507#14579138C2312yes—
508#14579138C2312yes—
509#14579138C2312yes—
510#14579138C2314yes—
511#14579138C2312yes—
512#14579138C2314yes—
513#14579138C2314yes—
514#14579138C2312yes—
515#14579137C2314yes—
516#14579137C2312yes—
517#14579137C2312yes—
518#14579137C2312yes—
519#14579137C2312yes—
520#14579135C2312yes—
521#14579135C2311yescharacteristic
522#14579134C2312yes—
523#14579133C2312yes—
524#14579133C2314yes—
525#14579133C2314yes—
526#14579133C2314yes—
527#14579133C2312yes—
528#14579132C2312yes—
529Q8×Dic79C2314yes—
530Q8×Dic79C2312yes—
531Q8×Dic79C2312yes—
532Q8×Dic79C2312yes—
533Q8×Dic79C2312yes—
534Q8×Dic79C2312yes—
535Q8×Dic79C2312yes—
536C4×Dic158C2312yes—
537C4×Dic158C2314yes—
538C4×Dic158C2312yes—
539C4×Dic158C2314yes—
540C4×Dic158C2314yes—
541C4×Dic158C2314yes—
542C4×Dic158C2314yes—
543C4×Dic158C2312yes—
544C4×Dic158C2312yes—
545C4×Dic158C2314yes—
546C4×Dic158C2314yes—
547C4×Dic158C2314yes—
548C4×Dic158C2312yes—
549C4×Dic158C2312yes—
550C4×Dic158C2311yescharacteristic
551C4×Dic158C2312yes—
552C4×Dic158C2312yes—
553C4×Dic158C2312yes—
554#14579126C2314yes—
555#14579126C2314yes—
556#14579126C2314yes—
557#14579126C2314yes—
558#14579126C2314yes—
559#14579126C2314yes—
560#14579126C2314yes—
561#14579126C2314yes—
562#14579126C2314yes—
563#14579126C2312yes—
564#14579126C2312yes—
565#14579126C2312yes—
566C4×D316C2312yes—
567C4×D316C2311yescharacteristic
568D4×Dic79C2314yes—
569D4×Dic79C2314yes—
570D4×Dic79C2314yes—
571D4×Dic79C2314yes—
572D4×Dic79C2314yes—
573D4×Dic79C2314yes—
574D4×Dic79C2314yes—
575D4×Dic79C2312yes—
576D4×Dic79C2312yes—
577D4×Dic79C2312yes—
578C4×C22⋊D79C2314yes—
579C4×C22⋊D79C2314yes—
580C4×C22⋊D79C2314yes—
581C4×C22⋊D79C2314yes—
582C4×C22⋊D79C2312yes—
583C4×C22⋊D79C2312yes—
584C4×C22⋊D79C2312yes—
585(C22⋊D79)⋊C4C2314yes—
586(C22⋊D79)⋊C4C2314yes—
587(C22⋊D79)⋊C4C2314yes—
588(C22⋊D79)⋊C4C2314yes—
589(C22⋊D79)⋊C4C2314yes—
590#14579120C2311yescharacteristic
591#14579120C2311yescharacteristic
592#14579120C2312yes—
593#14579120C2312yes—
594#14579120C2314yes—
595#14579120C2312yes—
596#14579120C2314yes—
597#14579120C2312yes—
598#14579120C2312yes—
599#14579120C2314yes—
600#14579119C2314yes—
601#14579119C2314yes—
602#14579119C2314yes—
603#14579119C2312yes—
604#14579118C2312yes—
605#14579118C2312yes—
606#14579118C2314yes—
607#14579118C2314yes—
608#14579118C2314yes—
609#14579117C2314yes—
610#14579117C2314yes—
611#14579117C2314yes—
612#14579117C2314yes—
613#14579117C2314yes—
614#14579117C2314yes—
615#14579117C2314yes—
616#14579117C2314yes—
617#14579117C2314yes—
618C2×C4⋊Dic79C2312yes—
619C2×C4⋊Dic79C2314yes—
620C2×C4⋊Dic79C2312yes—
621C2×C4⋊Dic79C2314yes—
622C2×C4⋊Dic79C2311yescharacteristic
623C2×C4⋊Dic79C2312yes—
624C2×C4⋊Dic79C2311yescharacteristic
625C2×C4⋊Dic79C2312yes—
626C2×C4⋊Dic79C2312yes—
627C2×C4⋊Dic79C2314yes—
628C2×Dic79⋊C4C2314yes—
629C2×Dic79⋊C4C2314yes—
630C2×Dic79⋊C4C2314yes—
631C2×Dic79⋊C4C2312yes—
632C2×Dic79⋊C4C2312yes—
633C2×Dic79⋊C4C2314yes—
634C2×Dic79⋊C4C2314yes—
635C2×Dic79⋊C4C2314yes—
636C2×Dic79⋊C4C2314yes—
637C2×Dic79⋊C4C2314yes—
638C2×Dic79⋊C4C2314yes—
639C4⋊C4×D79C2314yes—
640C4⋊C4×D79C2314yes—
641C4⋊C4×D79C2312yes—
642C4⋊C4×D79C2312yes—
643C2×C4×Dic79C2314yes—
644C2×C4×Dic79C2314yes—
645C2×C4×Dic79C2312yes—
646C42×D79C2312yes—
647C2×#41×C79C2311yescharacteristic
648C2×#41×C79C2312yes—
649C4⋊Q8×C79C2311yescharacteristic
650C4⋊Q8×C79C2312yes—
651C4⋊Q8×C79C2311yescharacteristic
652#126×C79C2314yes—
653#126×C79C2312yes—
654#126×C79C2314yes—
655#126×C79C2314yes—
656#125×C79C2312yes—
657#125×C79C2312yes—
658#125×C79C2314yes—
659#125×C79C2314yes—
660#125×C79C2314yes—
661#125×C79C2312yes—
662#125×C79C2311yescharacteristic
663#125×C79C2312yes—
664#125×C79C2314yes—
665#124×C79C2311yescharacteristic
666#123×C79C2314yes—
667#123×C79C2314yes—
668#123×C79C2314yes—
669#123×C79C2314yes—
670#123×C79C2312yes—
671C22⋊Q8×C79C2312yes—
672C22⋊Q8×C79C2312yes—
673C22⋊Q8×C79C2314yes—
674C22⋊Q8×C79C2312yes—
675C22⋊Q8×C79C2312yes—
676C22⋊Q8×C79C2312yes—
677C22⋊Q8×C79C2311yescharacteristic
678C22⋊Q8×C79C2314yes—
679#121×C79C2312yes—
680#121×C79C2311yescharacteristic
681#121×C79C2314yes—
682C4×Q8×C79C2311yescharacteristic
683C4×Q8×C79C2312yes—
684C4×Q8×C79C2312yes—
685C4×Q8×C79C2312yes—
686C4×Q8×C79C2311yescharacteristic
687C4×Q8×C79C2312yes—
688C4×Q8×C79C2311yescharacteristic
689C4×D4×C79C2312yes—
690C4×D4×C79C2312yes—
691C4×D4×C79C2314yes—
692C4×D4×C79C2311yescharacteristic
693C4×D4×C79C2312yes—
694C4×D4×C79C2311yescharacteristic
695C4×D4×C79C2314yes—
696C4×D4×C79C2312yes—
697C4×D4×C79C2311yescharacteristic
698C4×D4×C79C2312yes—
699#117×C79C2312yes—
700#117×C79C2312yes—
701#117×C79C2314yes—
702#117×C79C2312yes—
703#117×C79C2311yescharacteristic
704#117×C79C2314yes—
705C2×C4⋊C4×C79C2314yes—
706C2×C4⋊C4×C79C2312yes—
707C2×C4⋊C4×C79C2312yes—
708C2×C4⋊C4×C79C2314yes—
709C2×C4⋊C4×C79C2312yes—
710C2×C42×C79C2312yes—
711C2×C42×C79C2311yescharacteristic
712#11929623—28no—
713C2×Dic158C2412yes—
714C2×Dic158C2414yes—
715C2×Dic158C2414yes—
716C2×Dic158C2412yes—
717C2×Dic158C2414yes—
718C2×Dic158C2412yes—
719C2×Dic158C2412yes—
720C2×Dic158C2412yes—
721C2×Dic158C2412yes—
722C2×Dic158C2414yes—
723C2×Dic158C2411yescharacteristic
724C2×D316C2411yescharacteristic
725C2×C22⋊D79C2414yes—
726C2×C22⋊D79C2412yes—
727C2×C22⋊D79C2412yes—
728C2×C22⋊D79C2412yes—
729C22×Dic79C2414yes—
730C22×Dic79C2414yes—
731C22×Dic79C2414yes—
732C22×Dic79C2414yes—
733C22×Dic79C2412yes—
734C22×Dic79C2412yes—
735C22×Dic79C2412yes—
736C22×Dic79C2412yes—
737C22×Dic79C2414yes—
738C2×C4×D79C2412yes—
739C2×C4×D79C2412yes—
740C2×C4×D79C2412yes—
741C2×C4×D79C2414yes—
742C2×C4×D79C2414yes—
743C4⋊Dic79C2412yes—
744C4⋊Dic79C2412yes—
745C4⋊Dic79C2414yes—
746C4⋊Dic79C2414yes—
747C4⋊Dic79C2412yes—
748C4⋊Dic79C2412yes—
749C4⋊Dic79C2414yes—
750C4⋊Dic79C2412yes—
751C4⋊Dic79C2411yescharacteristic
752C4⋊Dic79C2412yes—
753C4⋊Dic79C2411yescharacteristic
754C4⋊Dic79C2411yescharacteristic
755C4⋊Dic79C2412yes—
756C4⋊Dic79C2411yescharacteristic
757C4⋊Dic79C2414yes—
758C4⋊Dic79C2414yes—
759C4⋊Dic79C2414yes—
760C4⋊Dic79C2414yes—
761C4⋊Dic79C2412yes—
762C4⋊Dic79C2412yes—
763C4⋊Dic79C2414yes—
764C4⋊Dic79C2414yes—
765C4⋊Dic79C2414yes—
766C4⋊Dic79C2414yes—
767C4⋊Dic79C2414yes—
768C4⋊Dic79C2414yes—
769C4⋊Dic79C2411yescharacteristic
770C4⋊Dic79C2412yes—
771C4⋊Dic79C2411yescharacteristic
772C4⋊Dic79C2414yes—
773C4⋊Dic79C2414yes—
774C4⋊Dic79C2412yes—
775C4⋊Dic79C2412yes—
776C4⋊Dic79C2412yes—
777C4⋊Dic79C2412yes—
778Dic79⋊C4C2414yes—
779Dic79⋊C4C2414yes—
780Dic79⋊C4C2414yes—
781Dic79⋊C4C2414yes—
782Dic79⋊C4C2414yes—
783Dic79⋊C4C2414yes—
784Dic79⋊C4C2412yes—
785Dic79⋊C4C2412yes—
786Dic79⋊C4C2412yes—
787Dic79⋊C4C2412yes—
788Dic79⋊C4C2412yes—
789Dic79⋊C4C2412yes—
790Dic79⋊C4C2412yes—
791Dic79⋊C4C2412yes—
792Dic79⋊C4C2414yes—
793Dic79⋊C4C2414yes—
794Dic79⋊C4C2414yes—
795Dic79⋊C4C2414yes—
796Dic79⋊C4C2414yes—
797Dic79⋊C4C2414yes—
798Dic79⋊C4C2414yes—
799Dic79⋊C4C2414yes—
800Dic79⋊C4C2414yes—
801Dic79⋊C4C2414yes—
802Dic79⋊C4C2414yes—
803Dic79⋊C4C2414yes—
804Dic79⋊C4C2414yes—
805Dic79⋊C4C2414yes—
806Dic79⋊C4C2414yes—
807Dic79⋊C4C2414yes—
808Dic79⋊C4C2414yes—
809Dic79⋊C4C2414yes—
810Dic79⋊C4C2414yes—
811Dic79⋊C4C2414yes—
812Dic79⋊C4C2414yes—
813Dic79⋊C4C2414yes—
814Dic79⋊C4C2414yes—
815Dic79⋊C4C2414yes—
816Dic79⋊C4C2412yes—
817Dic79⋊C4C2412yes—
818Dic79⋊C4C2414yes—
819Dic79⋊C4C2414yes—
820Dic79⋊C4C2412yes—
821Dic79⋊C4C2412yes—
822Dic79⋊C4C2414yes—
823Dic79⋊C4C2414yes—
824Dic79⋊C4C2414yes—
825Dic79⋊C4C2412yes—
826Dic79⋊C4C2412yes—
827Dic79⋊C4C2412yes—
828Dic79⋊C4C2412yes—
829C22⋊Dic79C2414yes—
830C22⋊Dic79C2412yes—
831C22⋊Dic79C2412yes—
832C22⋊Dic79C2414yes—
833C22⋊Dic79C2414yes—
834C22⋊Dic79C2414yes—
835C22⋊Dic79C2414yes—
836C22⋊Dic79C2414yes—
837C22⋊Dic79C2412yes—
838C22⋊Dic79C2412yes—
839C22⋊Dic79C2412yes—
840C22⋊Dic79C2412yes—
841C22⋊Dic79C2412yes—
842C22⋊Dic79C2414yes—
843(C2×D79)⋊C4C2414yes—
844(C2×D79)⋊C4C2412yes—
845(C2×D79)⋊C4C2412yes—
846(C2×D79)⋊C4C2414yes—
847(C2×D79)⋊C4C2414yes—
848(C2×D79)⋊C4C2412yes—
849(C2×D79)⋊C4C2412yes—
850(C2×D79)⋊C4C2412yes—
851(C2×D79)⋊C4C2412yes—
852(C2×D79)⋊C4C2412yes—
853(C2×D79)⋊C4C2412yes—
854(C2×D79)⋊C4C2414yes—
855(C2×D79)⋊C4C2414yes—
856C4×Dic79C2412yes—
857C4×Dic79C2412yes—
858C4×Dic79C2412yes—
859C4×Dic79C2412yes—
860C4×Dic79C2414yes—
861C4×Dic79C2414yes—
862C4×Dic79C2412yes—
863C4×Dic79C2412yes—
864C4×Dic79C2412yes—
865C4×Dic79C2414yes—
866C4×Dic79C2414yes—
867C4×Dic79C2414yes—
868C4×Dic79C2414yes—
869C4×Dic79C2414yes—
870C4×Dic79C2414yes—
871C4×Dic79C2414yes—
872C4×Dic79C2414yes—
873C4×Dic79C2414yes—
874C4×Dic79C2414yes—
875C4×Dic79C2414yes—
876C4×Dic79C2414yes—
877#41×C79—24no—
878#41×C79—28no—
879C2×Q8×C79C2411yescharacteristic
880C2×Q8×C79C2412yes—
881C2×Q8×C79C2411yescharacteristic
882C2×Q8×C79C2412yes—
883C2×D4×C79C2412yes—
884C2×D4×C79C2414yes—
885C2×D4×C79C2411yescharacteristic
886C2×D4×C79C2412yes—
887C2×D4×C79C2411yescharacteristic
888C22×C4×C79C2412yes—
889C22×C4×C79C2411yescharacteristic
890C22×C4×C79C2414yes—
891C22×C4×C79C2412yes—
892C22×C4×C79C2412yes—
893C22×C4×C79C2412yes—
894C22×C4×C79C2411yescharacteristic
895C22×C4×C79C2411yescharacteristic
896C22×C4×C79C2414yes—
897C22×C4×C79C2414yes—
898C4⋊C4×C79C2411yescharacteristic
899C4⋊C4×C79C2414yes—
900C4⋊C4×C79C2412yes—
901C4⋊C4×C79C2411yescharacteristic
902C4⋊C4×C79C2412yes—
903C4⋊C4×C79C2411yescharacteristic
904C4⋊C4×C79C2412yes—
905C4⋊C4×C79C2412yes—
906C4⋊C4×C79C2414yes—
907C4⋊C4×C79C2412yes—
908C4⋊C4×C79C2414yes—
909C4⋊C4×C79C2414yes—
910C4⋊C4×C79C2414yes—
911C4⋊C4×C79C2414yes—
912C4⋊C4×C79C2414yes—
913C4⋊C4×C79C2414yes—
914C4⋊C4×C79C2412yes—
915C4⋊C4×C79C2411yescharacteristic
916C4⋊C4×C79C2412yes—
917C4⋊C4×C79C2412yes—
918C4⋊C4×C79C2414yes—
919C4⋊C4×C79C2412yes—
920C4⋊C4×C79C2412yes—
921C4⋊C4×C79C2414yes—
922C22⋊C4×C79C2412yes—
923C22⋊C4×C79C2412yes—
924C22⋊C4×C79C2412yes—
925C22⋊C4×C79C2412yes—
926C22⋊C4×C79C2414yes—
927C22⋊C4×C79C2412yes—
928C22⋊C4×C79C2412yes—
929C22⋊C4×C79C2414yes—
930C22⋊C4×C79C2414yes—
931C22⋊C4×C79C2414yes—
932C22⋊C4×C79C2412yes—
933C22⋊C4×C79C2412yes—
934C42×C79C2411yescharacteristic
935C42×C79C2412yes—
936C42×C79C2411yescharacteristic
937C42×C79C2411yescharacteristic
938C42×C79C2412yes—
939C42×C79C2411yescharacteristic
940C42×C79C2412yes—
941C42×C79C2414yes—
942C42×C79C2414yes—
943C42×C79C2412yes—
944C23×C79C2511yescharacteristic
945C23×C79C2512yes—
946C23×C79C2512yes—
947C22×D79C2512yes—
948Q8×C79—22no—
949Q8×C79—24no—
950Q8×C79—41no—
951Q8×C79—42no—
952D4×C79—24no—
953D4×C79—28no—
954D4×C79—41no—
955D4×C79—42no—
956D4×C792−1+414yes—
957C2×C4×C79—24no—
958C2×C4×C79—28no—
959C2×C4×C79—22no—
960C2×C4×C79—24no—
961C2×C4×C79—41no—
962C2×C4×C79—42no—
963C2×C4×C79—42no—
964C2×C4×C79—44no—
965C2×C4×C79—41no—
966C2×C4×C79—44no—
967C2×C4×C79C2514yes—
968C2×C4×C79C2512yes—
969C2×C4×C79C2512yes—
970C2×C4×C79C2511yescharacteristic
971C2×C4×C79C2514yes—
972C2×C4×C79C2512yes—
973C2×C4×C79C2512yes—
974C2×C4×C79C2512yes—
975C2×C4×C79C2511yescharacteristic
976C2×C4×C79C2511yescharacteristic
977C2×C4×C79C2512yes—
978C2×C4×C79C2511yescharacteristic
979C2×C4×C79C2511yescharacteristic
980C2×C4×C79C2511yescharacteristic
981C22⋊D79—28no—
982C22⋊D79—42no—
983C22⋊D79—42no—
984C22⋊D79—42no—
985C2×Dic79—28no—
986C2×Dic79—44no—
987C2×Dic79—42no—
988C2×Dic79—42no—
989C2×Dic79—44no—
990C2×Dic79—44no—
991C2×Dic79—42no—
992C2×Dic79—44no—
993C2×Dic79—42no—
994C2×Dic79C2512yes—
995C2×Dic79C2512yes—
996C2×Dic79C2512yes—
997C2×Dic79C2514yes—
998C2×Dic79C2514yes—
999C2×Dic79C2512yes—
1000C2×Dic79C2514yes—
1001C2×Dic79C2514yes—
1002C2×Dic79C2512yes—
1003C2×Dic79C2512yes—
1004C2×Dic79C2512yes—
1005D316—41no—
1006C4×D79—24no—
1007C4×D79—42no—
1008C4×D79—42no—
1009C4×D79—44no—
1010C4×D79—44no—
1011Dic158—24no—
1012Dic158—42no—
1013Dic158—42no—
1014Dic158—42no—
1015Dic158—42no—
1016Dic158—44no—
1017Dic158—41no—
1018Dic158—44no—
1019Dic158—44no—
1020Dic158—42no—
1021Dic158—44no—
1022C22×C79—22no—
1023C22×C79—22no—
1024C22×C79—21no—
1025C22×C79—22no—
1026C22×C79—21no—
1027C22×C79—22no—
1028C22×C79—22no—
1029C22×C79—21no—
1030C22×C79C2×2−1+414yes—
1031C22×C79C2611yescharacteristic
1032C2×D79—22no—
1033C2×D79—22no—
1034C2×D79—22no—
1035C4×C79—22no—
1036C4×C79—21no—
1037C4×C79—22no—
1038C4×C79—24no—
1039C4×C79—21no—
1040C4×C79—22no—
1041C4×C79—21no—
1042C4×C79—22no—
1043C4×C79—24no—
1044C4×C79—21no—
1045C4×C79—21no—
1046C4×C79—22no—
1047C4×C79—22no—
1048C4×C79C2×2−1+412yes—
1049Dic79—24no—
1050Dic79—22no—
1051Dic79—22no—
1052Dic79—22no—
1053Dic79—22no—
1054Dic79—22no—
1055Dic79—22no—
1056Dic79—22no—
1057Dic79—24no—
1058Dic79—24no—
1059Dic79—24no—
1060#63067—791nomaximal, Sylow
1061C2×C79—24no—
1062C2×C79—41no—
1063C2×C79—42no—
1064C2×C79C22×2−1+411yescharacteristic
1065C2×C792−1+611yescharacteristic
1066C2×C792−1+611yescharacteristic
1067D79—42no—
1068#3563—792no—
1069#3563—794no—
1070#3563—794no—
1071#3563—792no—
1072#3563—794no—
1073#3563—792no—
1074#3563—792no—
1075#3563—794no—
1076#3563—791no—
1077#3563—791no—
1078#3563—792no—
1079#3563—792no—
1080#3556—792no—
1081#3556—792no—
1082#3556—791no—
1083#3553—794no—
1084#3553—794no—
1085#3553—792no—
1086#3531—791no—
1087C2×#564—792no—
1088#3515—792no—
1089#3515—792no—
1090#3515—792no—
1091#3515—792no—
1092#3515—791no—
1093#3515D7911yescharacteristic, complemented
1094#3504—792no—
1095#3504—792no—
1096#3504—791no—
1097C79#6306711yescharacteristic, complemented, Sylow
1098#564—791no—
1099#564—794no—
1100#564—794no—
1101#564—792no—
1102#564—794no—
1103#564—794no—
1104#564—794no—
1105#564—794no—
1106#564—792no—
1107#564—792no—
1108#564—794no—
1109#564—794no—
1110#564—792no—
1111#563—792no—
1112#563—792no—
1113#563—794no—
1114#563—794no—
1115#563—791no—
1116#563—792no—
1117#563—791no—
1118#563—792no—
1119#563—792no—
1120#563—794no—
1121#563—792no—
1122#563—794no—
1123#562—791no—
1124#562—792no—
1125#562—792no—
1126#557—792no—
1127#557—792no—
1128#557—792no—
1129#557—792no—
1130#557—792no—
1131#557—792no—
1132#557—794no—
1133#557—794no—
1134#557—794no—
1135#557—792no—
1136#557—792no—
1137#557—792no—
1138#557—792no—
1139#557—792no—
1140#557—792no—
1141#557—791no—
1142#557—792no—
1143#557—794no—
1144#557—792no—
1145#557—792no—
1146#557—792no—
1147#557C2×D7911yescharacteristic
1148#554—794no—
1149#554—794no—
1150#554—794no—
1151#554—792no—
1152#554—792no—
1153#554—791no—
1154#554—792no—
1155#554—791no—
1156#554—794no—
1157#554—794no—
1158#554—792no—
1159#554—792no—
1160#554—792no—
1161#554—792no—
1162#554—794no—
1163#554—794no—
1164#554—794no—
1165#554—794no—
1166#554—794no—
1167#554—792no—
1168#554C2×D7911yescharacteristic
1169#554C2×D7911yescharacteristic
1170#553—794no—
1171#553—794no—
1172#553—794no—
1173#553—792no—
1174#553—794no—
1175#553C2×D7912yes—
1176#552—794no—
1177#552—794no—
1178#552—794no—
1179#552—794no—
1180#552—794no—
1181#552—794no—
1182#552—794no—
1183#552—794no—
1184#552—794no—
1185#552—794no—
1186#552—794no—
1187#552—792no—
1188#552—792no—
1189#552—792no—
1190#552—792no—
1191#552—794no—
1192#552—792no—
1193#552—792no—
1194#552—792no—
1195#552—794no—
1196#552—792no—
1197#552—794no—
1198#552—794no—
1199#552—794no—
1200#552—794no—
1201#552—794no—
1202#552—794no—
1203#552—792no—
1204#552—794no—
1205#552—792no—
1206#552—794no—
1207#552—794no—
1208#552—794no—
1209#552C2×D7912yes—
1210#552C2×D7914yes—
1211#552C2×D7912yes—
1212#547—792no—
1213#547—792no—
1214#547—792no—
1215#547—791no—
1216#547C2×D7912yes—
1217#547C2×D7911yescharacteristic
1218#544—792no—
1219#544—792no—
1220#544—794no—
1221#544—794no—
1222#544—794no—
1223#544—794no—
1224#544—792no—
1225#544—792no—
1226#544—794no—
1227#544—794no—
1228#544—792no—
1229#544—792no—
1230#544—792no—
1231#544—791no—
1232#544—791no—
1233#544—794no—
1234#544—794no—
1235#544—792no—
1236#541—792no—
1237#541—792no—
1238#541—794no—
1239#541—794no—
1240#541—794no—
1241#541—794no—
1242#541—794no—
1243#541—794no—
1244#541—794no—
1245#541—794no—
1246#541—794no—
1247#541—794no—
1248#541—794no—
1249#541—794no—
1250#541—794no—
1251#541—794no—
1252#541—792no—
1253#541—792no—
1254#541—792no—
1255#541—792no—
1256#541—794no—
1257#541—794no—
1258#541—792no—
1259#541—792no—
1260#541—794no—
1261#541—794no—
1262#541—792no—
1263#541—794no—
1264#541—794no—
1265#541C2×D7912yes—
1266#539—794no—
1267#539—794no—
1268#539—794no—
1269#539—794no—
1270#539—794no—
1271#539—794no—
1272#539—794no—
1273#539—792no—
1274#539—794no—
1275#539—794no—
1276#539—792no—
1277#539—794no—
1278#539—794no—
1279#539—794no—
1280#539—794no—
1281#539C2×D7914yes—
1282#533—792no—
1283#533—794no—
1284#533—792no—
1285#533—792no—
1286#533—792no—
1287#533—792no—
1288#533—792no—
1289#533—794no—
1290#533—791no—
1291#533—792no—
1292#533—791no—
1293#533C2×D7911yescharacteristic
1294#529—794no—
1295#529—794no—
1296#529—794no—
1297#529—792no—
1298#529—792no—
1299#529—792no—
1300#529—794no—
1301#529—792no—
1302#529—791no—
1303#529—792no—
1304#529C2×D7911yescharacteristic
1305#529C2×D7912yes—
1306C2×#125—792no—
1307C2×#125—794no—
1308C2×#125—794no—
1309C2×#125—792no—
1310C2×#125—794no—
1311C2×#125—794no—
1312C2×#125—794no—
1313C2×#125—794no—
1314C2×#125—792no—
1315C2×#125—791no—
1316C2×#125—792no—
1317C2×#125C2×D7912yes—
1318#520—792no—
1319#520—791no—
1320#520—791no—
1321#520—792no—
1322#520—792no—
1323#520C2×D7912yes—
1324C4×#41—792no—
1325C4×#41—792no—
1326C4×#41C2×D7911yescharacteristic
1327C2×#41—792no—
1328C2×#41C22×D7912yes—
1329C2×#41C22×D7911yescharacteristic
1330C4⋊Q8—794no—
1331C4⋊Q8—792no—
1332C4⋊Q8—792no—
1333C4⋊Q8—792no—
1334C4⋊Q8—792no—
1335C4⋊Q8—794no—
1336C4⋊Q8—794no—
1337C4⋊Q8—794no—
1338C4⋊Q8—794no—
1339C4⋊Q8—794no—
1340C4⋊Q8—792no—
1341C4⋊Q8—792no—
1342C4⋊Q8—792no—
1343C4⋊Q8—792no—
1344C4⋊Q8—792no—
1345C4⋊Q8—792no—
1346C4⋊Q8—794no—
1347C4⋊Q8—794no—
1348C4⋊Q8—794no—
1349C4⋊Q8—794no—
1350C4⋊Q8—794no—
1351C4⋊Q8—794no—
1352C4⋊Q8—792no—
1353C4⋊Q8—792no—
1354C4⋊Q8—791no—
1355C4⋊Q8—792no—
1356C4⋊Q8—791no—
1357C4⋊Q8—791no—
1358C4⋊Q8—791no—
1359C4⋊Q8—794no—
1360C4⋊Q8—794no—
1361C4⋊Q8C22×D7912yes—
1362C4⋊Q8C22×D7911yescharacteristic
1363C4⋊Q8C22×D7911yescharacteristic
1364#126—794no—
1365#126—794no—
1366#126—794no—
1367#126—792no—
1368#126—792no—
1369#126—792no—
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—792no—
1382#126—792no—
1383#126—792no—
1384#126—792no—
1385#126—792no—
1386#126—794no—
1387#126—794no—
1388#126—794no—
1389#126—794no—
1390#126—794no—
1391#126—794no—
1392#126—794no—
1393#126—794no—
1394#126—794no—
1395#126—794no—
1396#126—794no—
1397#126—792no—
1398#126—794no—
1399#126—794no—
1400#126C22×D7914yes—
1401#126C22×D7912yes—
1402#126C22×D7914yes—
1403#126C22×D7914yes—
1404#125—792no—
1405#125—792no—
1406#125—792no—
1407#125—792no—
1408#125—792no—
1409#125—792no—
1410#125—794no—
1411#125—794no—
1412#125—794no—
1413#125—794no—
1414#125—794no—
1415#125—794no—
1416#125—794no—
1417#125—794no—
1418#125—794no—
1419#125—794no—
1420#125—794no—
1421#125—794no—
1422#125—794no—
1423#125—794no—
1424#125—794no—
1425#125—794no—
1426#125—794no—
1427#125—794no—
1428#125—794no—
1429#125—794no—
1430#125—794no—
1431#125—794no—
1432#125—794no—
1433#125—794no—
1434#125—794no—
1435#125—794no—
1436#125—794no—
1437#125—794no—
1438#125—794no—
1439#125—794no—
1440#125—794no—
1441#125—794no—
1442#125—794no—
1443#125—794no—
1444#125—794no—
1445#125—794no—
1446#125—794no—
1447#125—794no—
1448#125—794no—
1449#125—794no—
1450#125—792no—
1451#125—792no—
1452#125—792no—
1453#125—792no—
1454#125—792no—
1455#125—792no—
1456#125—794no—
1457#125—794no—
1458#125—794no—
1459#125—794no—
1460#125—792no—
1461#125—792no—
1462#125—794no—
1463#125—794no—
1464#125—794no—
1465#125—794no—
1466#125—794no—
1467#125—794no—
1468#125—794no—
1469#125—794no—
1470#125—794no—
1471#125—794no—
1472#125—794no—
1473#125—794no—
1474#125—794no—
1475#125—794no—
1476#125—794no—
1477#125—794no—
1478#125—794no—
1479#125—794no—
1480#125—794no—
1481#125—794no—
1482#125—794no—
1483#125—794no—
1484#125—794no—
1485#125—794no—
1486#125—791no—
1487#125—791no—
1488#125—792no—
1489#125—792no—
1490#125—794no—
1491#125—794no—
1492#125—794no—
1493#125—792no—
1494#125—792no—
1495#125—792no—
1496#125—794no—
1497#125—792no—
1498#125—792no—
1499#125—792no—
1500#125—792no—
1501#125—792no—
1502#125—791no—
1503#125—794no—
1504#125—794no—
1505#125—794no—
1506#125—794no—
1507#125C22×D7912yes—
1508#125C22×D7911yescharacteristic
1509#125C22×D7912yes—
1510#125C22×D7914yes—
1511#125C22×D7912yes—
1512#125C22×D7912yes—
1513#125C22×D7914yes—
1514#125C22×D7914yes—
1515#125C22×D7914yes—
1516#124—792no—
1517#124—792no—
1518#124—792no—
1519#124—792no—
1520#124—791no—
1521#124C22×D7911yescharacteristic
1522#123—794no—
1523#123—794no—
1524#123—794no—
1525#123—792no—
1526#123—792no—
1527#123—794no—
1528#123—794no—
1529#123—794no—
1530#123—794no—
1531#123—794no—
1532#123—792no—
1533#123—794no—
1534#123—792no—
1535#123—794no—
1536#123—794no—
1537#123—792no—
1538#123—792no—
1539#123—792no—
1540#123—792no—
1541#123—792no—
1542#123—794no—
1543#123—794no—
1544#123—794no—
1545#123—794no—
1546#123—794no—
1547#123C22×D7914yes—
1548#123C22×D7914yes—
1549#123C22×D7914yes—
1550#123C22×D7912yes—
1551#123C22×D7914yes—
1552C22⋊Q8—792no—
1553C22⋊Q8—792no—
1554C22⋊Q8—792no—
1555C22⋊Q8—792no—
1556C22⋊Q8—794no—
1557C22⋊Q8—791no—
1558C22⋊Q8—794no—
1559C22⋊Q8—792no—
1560C22⋊Q8—792no—
1561C22⋊Q8—794no—
1562C22⋊Q8—794no—
1563C22⋊Q8—794no—
1564C22⋊Q8—792no—
1565C22⋊Q8—792no—
1566C22⋊Q8—792no—
1567C22⋊Q8—792no—
1568C22⋊Q8—792no—
1569C22⋊Q8—794no—
1570C22⋊Q8—794no—
1571C22⋊Q8—794no—
1572C22⋊Q8—792no—
1573C22⋊Q8—792no—
1574C22⋊Q8—794no—
1575C22⋊Q8—794no—
1576C22⋊Q8—792no—
1577C22⋊Q8—792no—
1578C22⋊Q8—792no—
1579C22⋊Q8—792no—
1580C22⋊Q8—794no—
1581C22⋊Q8—794no—
1582C22⋊Q8—794no—
1583C22⋊Q8—794no—
1584C22⋊Q8—794no—
1585C22⋊Q8—794no—
1586C22⋊Q8—794no—
1587C22⋊Q8—792no—
1588C22⋊Q8—792no—
1589C22⋊Q8—794no—
1590C22⋊Q8—794no—
1591C22⋊Q8—794no—
1592C22⋊Q8—794no—
1593C22⋊Q8—794no—
1594C22⋊Q8—794no—
1595C22⋊Q8—794no—
1596C22⋊Q8—794no—
1597C22⋊Q8—794no—
1598C22⋊Q8—794no—
1599C22⋊Q8—794no—
1600C22⋊Q8—792no—
1601C22⋊Q8—792no—
1602C22⋊Q8—792no—
1603C22⋊Q8—792no—
1604C22⋊Q8—794no—
1605C22⋊Q8—794no—
1606C22⋊Q8—794no—
1607C22⋊Q8—794no—
1608C22⋊Q8—794no—
1609C22⋊Q8—794no—
1610C22⋊Q8—794no—
1611C22⋊Q8—794no—
1612C22⋊Q8C22×D7911yescharacteristic
1613C22⋊Q8C22×D7912yes—
1614C22⋊Q8C22×D7914yes—
1615C22⋊Q8C22×D7912yes—
1616C22⋊Q8C22×D7912yes—
1617C22⋊Q8C22×D7912yes—
1618C22⋊Q8C22×D7912yes—
1619C22⋊Q8C22×D7914yes—
1620#121—794no—
1621#121—794no—
1622#121—794no—
1623#121—792no—
1624#121—792no—
1625#121—792no—
1626#121—792no—
1627#121—791no—
1628#121—792no—
1629#121C22×D7914yes—
1630#121C22×D7912yes—
1631#121C22×D7911yescharacteristic
1632C4×Q8—792no—
1633C4×Q8—792no—
1634C4×Q8—792no—
1635C4×Q8—792no—
1636C4×Q8—792no—
1637C4×Q8—792no—
1638C4×Q8—794no—
1639C4×Q8—792no—
1640C4×Q8—792no—
1641C4×Q8—792no—
1642C4×Q8—794no—
1643C4×Q8—794no—
1644C4×Q8—794no—
1645C4×Q8—794no—
1646C4×Q8—794no—
1647C4×Q8—794no—
1648C4×Q8—794no—
1649C4×Q8—794no—
1650C4×Q8—794no—
1651C4×Q8—792no—
1652C4×Q8—792no—
1653C4×Q8—792no—
1654C4×Q8—792no—
1655C4×Q8—792no—
1656C4×Q8—792no—
1657C4×Q8—792no—
1658C4×Q8—791no—
1659C4×Q8—794no—
1660C4×Q8—792no—
1661C4×Q8—794no—
1662C4×Q8—792no—
1663C4×Q8—794no—
1664C4×Q8—794no—
1665C4×Q8—794no—
1666C4×Q8—794no—
1667C4×Q8—794no—
1668C4×Q8—794no—
1669C4×Q8C22×D7911yescharacteristic
1670C4×Q8C22×D7911yescharacteristic
1671C4×Q8C22×D7912yes—
1672C4×Q8C22×D7912yes—
1673C4×Q8C22×D7911yescharacteristic
1674C4×Q8C22×D7912yes—
1675C4×Q8C22×D7912yes—
1676C4×D4—792no—
1677C4×D4—792no—
1678C4×D4—792no—
1679C4×D4—794no—
1680C4×D4—794no—
1681C4×D4—794no—
1682C4×D4—794no—
1683C4×D4—794no—
1684C4×D4—794no—
1685C4×D4—794no—
1686C4×D4—794no—
1687C4×D4—794no—
1688C4×D4—794no—
1689C4×D4—792no—
1690C4×D4—792no—
1691C4×D4—792no—
1692C4×D4—794no—
1693C4×D4—794no—
1694C4×D4—794no—
1695C4×D4—794no—
1696C4×D4—794no—
1697C4×D4—794no—
1698C4×D4—791no—
1699C4×D4—792no—
1700C4×D4C22×D7912yes—
1701C4×D4C22×D7911yescharacteristic
1702C4×D4C22×D7911yescharacteristic
1703C4×D4C22×D7912yes—
1704C4×D4C22×D7912yes—
1705C4×D4C22×D7914yes—
1706C4×D4C22×D7914yes—
1707C4×D4C22×D7911yescharacteristic
1708C4×D4C22×D7912yes—
1709C4×D4C22×D7912yes—
1710#117—792no—
1711#117—794no—
1712#117—792no—
1713#117—791no—
1714#117—791no—
1715#117—794no—
1716#117—792no—
1717#117—792no—
1718#117—794no—
1719#117—792no—
1720#117—792no—
1721#117—794no—
1722#117—794no—
1723#117—794no—
1724#117—794no—
1725#117—794no—
1726#117—794no—
1727#117—794no—
1728#117—794no—
1729#117—794no—
1730#117—794no—
1731#117—794no—
1732#117—794no—
1733#117—792no—
1734#117—792no—
1735#117—794no—
1736#117—794no—
1737#117—794no—
1738#117C22×D7911yescharacteristic
1739#117C22×D7912yes—
1740#117C22×D7912yes—
1741#117C22×D7914yes—
1742#117C22×D7914yes—
1743#117C22×D7912yes—
1744C2×C4⋊C4—794no—
1745C2×C4⋊C4—794no—
1746C2×C4⋊C4—794no—
1747C2×C4⋊C4—792no—
1748C2×C4⋊C4—792no—
1749C2×C4⋊C4—792no—
1750C2×C4⋊C4—791no—
1751C2×C4⋊C4—791no—
1752C2×C4⋊C4—794no—
1753C2×C4⋊C4—794no—
1754C2×C4⋊C4—794no—
1755C2×C4⋊C4—792no—
1756C2×C4⋊C4—794no—
1757C2×C4⋊C4—794no—
1758C2×C4⋊C4—794no—
1759C2×C4⋊C4—794no—
1760C2×C4⋊C4—792no—
1761C2×C4⋊C4—794no—
1762C2×C4⋊C4—792no—
1763C2×C4⋊C4—792no—
1764C2×C4⋊C4—794no—
1765C2×C4⋊C4—792no—
1766C2×C4⋊C4—792no—
1767C2×C4⋊C4—794no—
1768C2×C4⋊C4—794no—
1769C2×C4⋊C4C22×D7914yes—
1770C2×C4⋊C4C22×D7912yes—
1771C2×C4⋊C4C22×D7914yes—
1772C2×C4⋊C4C22×D7912yes—
1773C2×C4⋊C4C22×D7912yes—
1774C2×C42—794no—
1775C2×C42—794no—
1776C2×C42—792no—
1777C2×C42—792no—
1778C2×C42C22×D7912yes—
1779C2×C42C22×D7911yescharacteristic
1780#41—28no—
1781#41—24no—
1782#41—1588no—
1783C2×Q8—794no—
1784C2×Q8—794no—
1785C2×Q8—794no—
1786C2×Q8—794no—
1787C2×Q8—792no—
1788C2×Q8—792no—
1789C2×Q8—791no—
1790C2×Q8—792no—
1791C2×Q8—792no—
1792C2×Q8—792no—
1793C2×Q8—792no—
1794C2×Q8C23×D7912yes—
1795C2×Q8C23×D7911yescharacteristic
1796C2×Q8C23×D7912yes—
1797C2×Q8C23×D7911yescharacteristic
1798C2×D4—792no—
1799C2×D4—792no—
1800C2×D4—792no—
1801C2×D4—794no—
1802C2×D4—791no—
1803C2×D4C23×D7914yes—
1804C2×D4C23×D7912yes—
1805C2×D4C23×D7912yes—
1806C2×D4C23×D7911yescharacteristic
1807C2×D4C23×D7911yescharacteristic
1808C22×C4—794no—
1809C22×C4—794no—
1810C22×C4—794no—
1811C22×C4—792no—
1812C22×C4—792no—
1813C22×C4—792no—
1814C22×C4—792no—
1815C22×C4—794no—
1816C22×C4—792no—
1817C22×C4—792no—
1818C22×C4—794no—
1819C22×C4—794no—
1820C22×C4—794no—
1821C22×C4—792no—
1822C22×C4C23×D7914yes—
1823C22×C4C23×D7912yes—
1824C22×C4C23×D7912yes—
1825C22×C4C23×D7911yescharacteristic
1826C22×C4C23×D7914yes—
1827C22×C4C23×D7912yes—
1828C22×C4C23×D7912yes—
1829C22×C4C23×D7911yescharacteristic
1830C22×C4C23×D7911yescharacteristic
1831C22×C4C23×D7914yes—
1832C4⋊C4—794no—
1833C4⋊C4—794no—
1834C4⋊C4—792no—
1835C4⋊C4—792no—
1836C4⋊C4—792no—
1837C4⋊C4—792no—
1838C4⋊C4—792no—
1839C4⋊C4—792no—
1840C4⋊C4—792no—
1841C4⋊C4—792no—
1842C4⋊C4—794no—
1843C4⋊C4—794no—
1844C4⋊C4—794no—
1845C4⋊C4—794no—
1846C4⋊C4—794no—
1847C4⋊C4—794no—
1848C4⋊C4—794no—
1849C4⋊C4—794no—
1850C4⋊C4—794no—
1851C4⋊C4—794no—
1852C4⋊C4—794no—
1853C4⋊C4—794no—
1854C4⋊C4—794no—
1855C4⋊C4—794no—
1856C4⋊C4—794no—
1857C4⋊C4—794no—
1858C4⋊C4—794no—
1859C4⋊C4—794no—
1860C4⋊C4—794no—
1861C4⋊C4—794no—
1862C4⋊C4—794no—
1863C4⋊C4—794no—
1864C4⋊C4—794no—
1865C4⋊C4—794no—
1866C4⋊C4—794no—
1867C4⋊C4—794no—
1868C4⋊C4—794no—
1869C4⋊C4—794no—
1870C4⋊C4—792no—
1871C4⋊C4—792no—
1872C4⋊C4—794no—
1873C4⋊C4—794no—
1874C4⋊C4—792no—
1875C4⋊C4—792no—
1876C4⋊C4—792no—
1877C4⋊C4—792no—
1878C4⋊C4—792no—
1879C4⋊C4—792no—
1880C4⋊C4—794no—
1881C4⋊C4—794no—
1882C4⋊C4—794no—
1883C4⋊C4—792no—
1884C4⋊C4—792no—
1885C4⋊C4—792no—
1886C4⋊C4—794no—
1887C4⋊C4—792no—
1888C4⋊C4—792no—
1889C4⋊C4—792no—
1890C4⋊C4—791no—
1891C4⋊C4—791no—
1892C4⋊C4—791no—
1893C4⋊C4—792no—
1894C4⋊C4—791no—
1895C4⋊C4—794no—
1896C4⋊C4—794no—
1897C4⋊C4—794no—
1898C4⋊C4—794no—
1899C4⋊C4—792no—
1900C4⋊C4—792no—
1901C4⋊C4—794no—
1902C4⋊C4—794no—
1903C4⋊C4—794no—
1904C4⋊C4—794no—
1905C4⋊C4—794no—
1906C4⋊C4—794no—
1907C4⋊C4—794no—
1908C4⋊C4—794no—
1909C4⋊C4—792no—
1910C4⋊C4—791no—
1911C4⋊C4—791no—
1912C4⋊C4—794no—
1913C4⋊C4—794no—
1914C4⋊C4—792no—
1915C4⋊C4—792no—
1916C4⋊C4—792no—
1917C4⋊C4—792no—
1918C4⋊C4C23×D7911yescharacteristic
1919C4⋊C4C23×D7912yes—
1920C4⋊C4C23×D7914yes—
1921C4⋊C4C23×D7914yes—
1922C4⋊C4C23×D7911yescharacteristic
1923C4⋊C4C23×D7914yes—
1924C4⋊C4C23×D7912yes—
1925C4⋊C4C23×D7912yes—
1926C4⋊C4C23×D7911yescharacteristic
1927C4⋊C4C23×D7911yescharacteristic
1928C4⋊C4C23×D7914yes—
1929C4⋊C4C23×D7914yes—
1930C4⋊C4C23×D7914yes—
1931C4⋊C4C23×D7912yes—
1932C4⋊C4C23×D7912yes—
1933C4⋊C4C23×D7914yes—
1934C4⋊C4C23×D7914yes—
1935C4⋊C4C23×D7914yes—
1936C4⋊C4C23×D7912yes—
1937C4⋊C4C23×D7912yes—
1938C4⋊C4C23×D7912yes—
1939C4⋊C4C23×D7912yes—
1940C4⋊C4C23×D7914yes—
1941C4⋊C4C23×D7912yes—
1942C22⋊C4—794no—
1943C22⋊C4—794no—
1944C22⋊C4—794no—
1945C22⋊C4—794no—
1946C22⋊C4—794no—
1947C22⋊C4—794no—
1948C22⋊C4—792no—
1949C22⋊C4—792no—
1950C22⋊C4—792no—
1951C22⋊C4—792no—
1952C22⋊C4—792no—
1953C22⋊C4—792no—
1954C22⋊C4—792no—
1955C22⋊C4—794no—
1956C22⋊C4—794no—
1957C22⋊C4—794no—
1958C22⋊C4—794no—
1959C22⋊C4—794no—
1960C22⋊C4—792no—
1961C22⋊C4—792no—
1962C22⋊C4—792no—
1963C22⋊C4—792no—
1964C22⋊C4—792no—
1965C22⋊C4—792no—
1966C22⋊C4—792no—
1967C22⋊C4—792no—
1968C22⋊C4—794no—
1969C22⋊C4C23×D7912yes—
1970C22⋊C4C23×D7914yes—
1971C22⋊C4C23×D7914yes—
1972C22⋊C4C23×D7912yes—
1973C22⋊C4C23×D7912yes—
1974C22⋊C4C23×D7914yes—
1975C22⋊C4C23×D7914yes—
1976C22⋊C4C23×D7912yes—
1977C22⋊C4C23×D7912yes—
1978C22⋊C4C23×D7912yes—
1979C22⋊C4C23×D7912yes—
1980C22⋊C4C23×D7912yes—
1981C42—792no—
1982C42—792no—
1983C42—794no—
1984C42—794no—
1985C42—792no—
1986C42—792no—
1987C42—792no—
1988C42—792no—
1989C42—792no—
1990C42—794no—
1991C42—794no—
1992C42—794no—
1993C42—794no—
1994C42—794no—
1995C42—794no—
1996C42—794no—
1997C42—794no—
1998C42—794no—
1999C42—794no—
2000C42—794no—
2001C42—794no—
2002C42C23×D7912yes—
2003C42C23×D7911yescharacteristic
2004C42C23×D7912yes—
2005C42C23×D7911yescharacteristic
2006C42C23×D7911yescharacteristic
2007C42C23×D7911yescharacteristic
2008C42C23×D7912yes—
2009C42C23×D7912yes—
2010C42C23×D7914yes—
2011C42C23×D7914yes—
2012C23—792no—
2013C23C24×D7911yescharacteristic
2014C23C24×D7912yes—
2015C23C24×D7912yes—
2016Q8—24no—
2017Q8—22no—
2018Q8—41no—
2019Q8—42no—
2020Q8—3164no—
2021Q8—3162no—
2022Q8—3162no—
2023Q8—3162no—
2024Q8—3164no—
2025Q8—3161no—
2026Q8—3164no—
2027Q8—3162no—
2028Q8—3164no—
2029Q8—3162no—
2030Q8—1584no—
2031D4—28no—
2032D4—24no—
2033D4—41no—
2034D4—42no—
2035D4—3161no—
2036D4—3162no—
2037D4—3162no—
2038D4—3162no—
2039D4—1588no—
2040D4#1457920814yes—
2041C2×C4—28no—
2042C2×C4—24no—
2043C2×C4—24no—
2044C2×C4—22no—
2045C2×C4—42no—
2046C2×C4—41no—
2047C2×C4—42no—
2048C2×C4—41no—
2049C2×C4—44no—
2050C2×C4—44no—
2051C2×C4—3164no—
2052C2×C4—3162no—
2053C2×C4—3162no—
2054C2×C4—3164no—
2055C2×C4—3164no—
2056C2×C4—3164no—
2057C2×C4—3162no—
2058C2×C4—3162no—
2059C2×C4—3164no—
2060C2×C4—3164no—
2061C2×C4—3162no—
2062C2×C4—3162no—
2063C2×C4—792no—
2064C2×C4—792no—
2065C2×C4—792no—
2066C2×C4—794no—
2067C2×C4—792no—
2068C2×C4—794no—
2069C2×C4—794no—
2070C2×C4—794no—
2071C2×C4—792no—
2072C2×C4—792no—
2073C2×C4—792no—
2074C2×C4—1588no—
2075C2×C4—1584no—
2076C2×C4C24×D7911yescharacteristic
2077C2×C4C24×D7914yes—
2078C2×C4C24×D7912yes—
2079C2×C4C24×D7912yes—
2080C2×C4C24×D7912yes—
2081C2×C4C24×D7914yes—
2082C2×C4C24×D7912yes—
2083C2×C4C24×D7912yes—
2084C2×C4C24×D7911yescharacteristic
2085C2×C4C24×D7911yescharacteristic
2086C2×C4C24×D7912yes—
2087C2×C4C24×D7911yescharacteristic
2088C2×C4C24×D7911yescharacteristic
2089C2×C4C24×D7911yescharacteristic
2090C22—22no—
2091C22—22no—
2092C22—21no—
2093C22—22no—
2094C22—21no—
2095C22—22no—
2096C22—22no—
2097C22—21no—
2098C22—1582no—
2099C22—1582no—
2100C22—1582no—
2101C22C2×#1457920814yes—
2102C22C25×D7911yescharacteristic
2103C4—22no—
2104C4—21no—
2105C4—24no—
2106C4—22no—
2107C4—21no—
2108C4—22no—
2109C4—21no—
2110C4—22no—
2111C4—21no—
2112C4—22no—
2113C4—22no—
2114C4—24no—
2115C4—21no—
2116C4—1582no—
2117C4—1584no—
2118C4—1582no—
2119C4—1582no—
2120C4—1584no—
2121C4—1584no—
2122C4—1582no—
2123C4—1582no—
2124C4—1584no—
2125C4—1582no—
2126C4—1582no—
2127C4C2×#1457920812yes—
2128C2—24no—
2129C2—41no—
2130C2—42no—
2131C2—3162no—
2132C2C22×#1457920811yescharacteristic
2133C2#2377821211yescharacteristic
2134C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3515C2
hypercenter#3515D79
hypocenterC79#63067
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3515

Complements

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

NH ≅ G/Ntype
1. #23778010C2semidirect
2. #23778008C2semidirect
3. #23778007C2semidirect
4. #23778006C2semidirect
5. #23778005C2semidirect
6. #23778004C2semidirect
7. #23778003C2semidirect
8. #23778003C2semidirect
9. #23778001C2semidirect
10. #23778001C2semidirect
11. #23777997C2semidirect
12. #23777997C2semidirect
13. #23777895C2semidirect
14. #23777893C2semidirect
15. #23777892C2semidirect
16. #23777853C2semidirect
17. #23777850C2semidirect
18. #23777848C2semidirect
19. #23777545C2semidirect
20. C2×C79⋊#564C2semidirect
21. #23777378C2semidirect
22. #23777369C2semidirect
23. #23777368C2semidirect
24. #23777365C2semidirect
25. #23777365C2semidirect
26. #23777226C2semidirect
27. #23777222C2semidirect
28. #23777220C2semidirect
29. C79×#3515C2semidirect
1093. #3515D79semidirect
1097. C79#63067semidirect

Maximal subgroups

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

subgroupindex
#237780102
#237780082
#237780072
#237780062
#237780052
#237780042
#237780032
#237780012
#237779972
#237778952
#237778932
#237778922
#237778532
#237778502
#237778482
#237775452
C2×C79⋊#5642
#237773782
#237773692
#237773682
#237773652
#237772262
#237772222
#237772202
C79×#35152
#6306779