Finite Group Databasebeta

← #35201871

Subgroups — #35201871

Order 20224.

6384 conjugacy classes of subgroups.

The subgroup lattice has 1938 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778051C213yesmaximal, complemented
2#23778050C213yesmaximal, complemented
3#23778007C213yesmaximal, complemented
4#23777930C213yesmaximal, complemented
5#23777902C213yesmaximal, complemented
6#23777899C213yesmaximal, complemented
7#23777870C213yesmaximal, complemented
8#23777861C213yesmaximal, complemented
9#23777845C213yesmaximal, complemented
10#23777839C213yesmaximal, complemented
11#23777812C213yesmaximal, complemented
12#23777792C213yesmaximal, complemented
13#23777784C213yesmaximal, complemented
14#23777742C213yesmaximal, complemented
15#23777740C213yesmaximal, complemented
16#23777545C213yesmaximal, complemented
17#23777510C211yesmaximal, characteristic, complemented
18#23777509C211yesmaximal, characteristic, complemented
19#23777498C211yesmaximal, characteristic, complemented
20#23777479C211yesmaximal, characteristic, complemented
21#23777476C211yesmaximal, characteristic, complemented
22#23777411C211yesmaximal, characteristic, complemented
23#23777401C211yesmaximal, characteristic, complemented
24#23777386C211yesmaximal, characteristic, complemented
25#23777382C211yesmaximal, characteristic, complemented
26#23777225C211yesmaximal, characteristic, complemented
27#23777219C211yesmaximal, characteristic, complemented
28#23777213C211yesmaximal, characteristic, complemented
29#23777206C211yesmaximal, characteristic, complemented
30#23777204C211yesmaximal, characteristic, complemented
31C79×#3524C211yesmaximal, characteristic, complemented
32C79⋊#564C2213yes—
33#19099317C2213yes—
34#19099316C2213yes—
35#19099316C2213yes—
36#19099316C2216yes—
37#19099315C2211yescharacteristic
38#19099315C2213yes—
39#19099315C2213yes—
40#19099315C2213yes—
41#19099315C2216yes—
42#19099315C2216yes—
43#19099314C2213yes—
44#19099314C2213yes—
45#19099313C2213yes—
46#19099310C2213yes—
47#19099310C2213yes—
48#19099308C2216yes—
49#19099308C2213yes—
50#19099308C2213yes—
51#19099307C2213yes—
52#19099307C2216yes—
53#19099299C2213yes—
54#19099296C2213yes—
55#19099296C2213yes—
56#19099295C2213yes—
57#19099295C2213yes—
58Q8×Dic158C2213yes—
59Q8×Dic158C2213yes—
60Q8×Dic158C2211yescharacteristic
61Q8×Dic158C2211yescharacteristic
62Q8×Dic158C2211yescharacteristic
63#19099292C2213yes—
64#19099292C2211yescharacteristic
65#19099292C2211yescharacteristic
66#19099292C2211yescharacteristic
67#19099290C2213yes—
68#19099290C2213yes—
69#19099289C2213yes—
70#19099289C2213yes—
71#19099289C2211yescharacteristic
72#19099289C2211yescharacteristic
73#19099289C2211yescharacteristic
74#19099288C2213yes—
75#19099286C2213yes—
76#19099285C2213yes—
77#19099282C2216yes—
78#19099282C2213yes—
79#19099282C2213yes—
80#19099281C2213yes—
81#19099278C2213yes—
82#19099277C2213yes—
83#19099276C2213yes—
84#19099276C2213yes—
85#19099274C2213yes—
86#19099273C2213yes—
87#19099272C2213yes—
88#19099272C2213yes—
89#19099271C2213yes—
90#19099271C2213yes—
91#19099270C2213yes—
92#19099270C2213yes—
93#19099270C2213yes—
94#19099269C2213yes—
95#19099269C2213yes—
96#19099268C2213yes—
97#19099265C2213yes—
98#19099265C2213yes—
99#19099265C2213yes—
100#19099265C2213yes—
101#19099263C2213yes—
102#19099260C2213yes—
103#19099260C2213yes—
104#19099255C2213yes—
105#19099255C2216yes—
106#19099253C2213yes—
107#19099253C2213yes—
108#19099252C2216yes—
109#19099252C2213yes—
110#19099249C2216yes—
111#19099247C2213yes—
112#19099246C2216yes—
113#19099233C2213yes—
114#19099232C2211yescharacteristic
115#19099232C2211yescharacteristic
116D4×Dic158C2213yes—
117D4×Dic158C2216yes—
118D4×Dic158C2213yes—
119D4×Dic158C2213yes—
120D4×Dic158C2213yes—
121Q8×C22⋊D79C2211yescharacteristic
122#19099225C2211yescharacteristic
123#19099224C2211yescharacteristic
124#19099222C2216yes—
125#19099220C2211yescharacteristic
126#19099220C2211yescharacteristic
127#19099219C2216yes—
128#19099218C2213yes—
129#19099217C2213yes—
130#19099217C2213yes—
131#19099214C2213yes—
132#19099213C2213yes—
133#19099213C2216yes—
134#19099211C2216yes—
135#19099194C2213yes—
136#19099193C2213yes—
137#19099193C2213yes—
138#19099193C2213yes—
139#19099193C2216yes—
140#19099191C2213yes—
141#19099191C2213yes—
142#19099191C2213yes—
143#19099191C2213yes—
144#19099191C2213yes—
145#19099190C2213yes—
146#19099186C2213yes—
147#19099185C2213yes—
148#19099184C2213yes—
149#19099184C2213yes—
150#19099182C2216yes—
151#19099182C2216yes—
152#19099182C2213yes—
153#19099182C2213yes—
154#19099182C2213yes—
155#19099181C2216yes—
156#19099180C2213yes—
157#19099180C2213yes—
158#19099179C2216yes—
159#19099178C2213yes—
160#19099178C2213yes—
161#19099178C2216yes—
162#19099177C2216yes—
163#19099175C2216yes—
164#19099173C2213yes—
165#19099173C2213yes—
166#19099170C2216yes—
167#19099167C2213yes—
168#19099166C2213yes—
169#19099166C2213yes—
170#19099166C2213yes—
171#19099164C2213yes—
172#19099158C2216yes—
173#19099157C2216yes—
174#19099157C2216yes—
175#19099156C2216yes—
176#19099156C2216yes—
177#19099155C2216yes—
178#19099142C2216yes—
179#19099139C2216yes—
180#19099135C2216yes—
181#19099135C2216yes—
182#19099135C2216yes—
183#19099120C2213yes—
184#19099118C2213yes—
185#19099117C2213yes—
186#19099117C2213yes—
187#19099117C2213yes—
188#19099116C2213yes—
189#19099116C2213yes—
190#19099116C2213yes—
191#19099111C2213yes—
192#19099110C2213yes—
193#19099108C2213yes—
194C2×#14579161C2213yes—
195C2×#14579160C2213yes—
196#19099099C2213yes—
197#19099097C2213yes—
198#19099097C2213yes—
199#19099095C2213yes—
200#19099095C2213yes—
201#19099094C2213yes—
202#19099094C2213yes—
203#19099093C2213yes—
204#19099093C2213yes—
205#19099093C2213yes—
206#19099093C2213yes—
207#19099092C2213yes—
208#19099091C2213yes—
209#19099091C2213yes—
210#125×D79C2213yes—
211#19099046C2211yescharacteristic
212#19099046C2211yescharacteristic
213#19099046C2211yescharacteristic
214#19099045C2211yescharacteristic
215#19099045C2211yescharacteristic
216#19099041C2211yescharacteristic
217#19099039C2211yescharacteristic
218#19099039C2211yescharacteristic
219#41×Dic79C2211yescharacteristic
220C4×#11929625C2211yescharacteristic
221C2×Q8×Dic79C2211yescharacteristic
222C4×Q8×D79C2211yescharacteristic
223#559×C79C2213yes—
224#557×C79C2211yescharacteristic
225#555×C79C2213yes—
226#553×C79C2213yes—
227#552×C79C2213yes—
228#550×C79C2211yescharacteristic
229#548×C79C2211yescharacteristic
230#548×C79C2211yescharacteristic
231#542×C79C2213yes—
232#540×C79C2213yes—
233#529×C79C2213yes—
234#529×C79C2213yes—
235#520×C79C2211yescharacteristic
236#519×C79C2211yescharacteristic
237C4×#41×C79C2211yescharacteristic
238C2×#11929625C2311yescharacteristic
239C2×#11929624C2316yes—
240C2×#11929623C2316yes—
241C2×#11929623C2316yes—
242C22×Dic158C2316yes—
243C22×Dic158C2316yes—
244C2×Q8×D79C2311yescharacteristic
245#14579161C2316yes—
246#14579161C2316yes—
247#14579161C2313yes—
248#14579161C2313yes—
249#14579161C2313yes—
250#14579161C2313yes—
251#14579161C2313yes—
252#14579161C2313yes—
253#14579161C2313yes—
254#14579161C2311yescharacteristic
255#14579160C2316yes—
256#14579160C2313yes—
257#14579160C2313yes—
258#14579160C2316yes—
259#14579160C2313yes—
260#14579160C2313yes—
261#14579160C2313yes—
262#14579160C2313yes—
263#14579160C2313yes—
264#14579160C2313yes—
265#14579160C2316yes—
266#14579160C2313yes—
267#14579160C2316yes—
268#14579160C2313yes—
269#14579160C2313yes—
270#14579160C2313yes—
271#14579160C2313yes—
272#14579160C2311yescharacteristic
273#14579160C2313yes—
274#14579159C2313yes—
275#14579159C2313yes—
276#14579159C2313yes—
277#14579157C2313yes—
278#14579157C2313yes—
279#14579156C2313yes—
280#14579156C2316yes—
281#14579156C2313yes—
282#14579156C2313yes—
283#14579156C2313yes—
284#14579156C2313yes—
285#14579156C2311yescharacteristic
286#14579155C2316yes—
287#14579155C2311yescharacteristic
288#14579155C2313yes—
289#14579154C2316yes—
290#14579154C2316yes—
291#14579154C2316yes—
292#14579154C2316yes—
293#14579154C2316yes—
294#14579154C2313yes—
295#14579154C2316yes—
296#14579154C2313yes—
297#14579154C2313yes—
298#14579154C2316yes—
299#14579154C2313yes—
300#14579154C2313yes—
301#14579154C2313yes—
302#14579154C2313yes—
303#14579154C2313yes—
304#14579154C2313yes—
305#14579154C2311yescharacteristic
306#14579153C2316yes—
307#14579153C2313yes—
308#14579153C2313yes—
309#14579153C2313yes—
310#14579153C2313yes—
311#14579153C2313yes—
312#14579153C2313yes—
313#14579152C2313yes—
314#14579152C2316yes—
315#14579152C2313yes—
316#14579152C2313yes—
317#14579152C2313yes—
318#14579152C2313yes—
319#14579152C2313yes—
320#14579152C2316yes—
321#14579152C2313yes—
322#14579152C2313yes—
323#14579152C2313yes—
324#14579152C2313yes—
325#14579152C2313yes—
326#14579152C2313yes—
327#14579152C2313yes—
328#14579152C2313yes—
329#14579152C2311yescharacteristic
330#14579151C2313yes—
331#14579151C2313yes—
332#14579151C2316yes—
333#14579151C2316yes—
334#14579151C2316yes—
335#14579151C2313yes—
336#14579151C2313yes—
337#14579151C2313yes—
338#14579151C2316yes—
339#14579151C2313yes—
340#14579151C2313yes—
341#14579151C2313yes—
342#14579151C2311yescharacteristic
343#14579151C2313yes—
344#14579150C2313yes—
345#14579149C2313yes—
346#14579149C2316yes—
347#14579149C2313yes—
348#14579148C2316yes—
349#14579148C2313yes—
350#14579148C2313yes—
351#14579148C2313yes—
352#14579148C2313yes—
353#14579147C2313yes—
354#14579147C2316yes—
355#14579147C2316yes—
356#14579147C2316yes—
357#14579147C2316yes—
358#14579147C2313yes—
359#14579147C2313yes—
360#14579147C2313yes—
361#14579147C2316yes—
362#14579147C2313yes—
363#14579147C2311yescharacteristic
364#14579146C2313yes—
365#14579146C2313yes—
366#14579145C2313yes—
367#14579145C2316yes—
368#14579145C2316yes—
369#14579145C2316yes—
370#14579145C2313yes—
371#14579145C2316yes—
372#14579145C2313yes—
373#14579145C2316yes—
374#14579145C2311yescharacteristic
375#14579144C2316yes—
376#14579144C2313yes—
377#14579144C2313yes—
378#14579144C2316yes—
379#14579143C2316yes—
380#14579143C2316yes—
381#14579143C2316yes—
382#14579143C2316yes—
383#14579143C2313yes—
384#14579143C2313yes—
385#14579143C2313yes—
386#14579143C2313yes—
387#14579143C2311yescharacteristic
388#14579143C2313yes—
389#14579142C2316yes—
390#14579142C2316yes—
391#14579142C2313yes—
392#14579142C2313yes—
393#14579142C2316yes—
394#14579142C2313yes—
395#14579142C2313yes—
396#14579141C2313yes—
397#14579141C2316yes—
398#14579141C2316yes—
399#14579141C2316yes—
400#14579141C2313yes—
401#14579141C2313yes—
402#14579141C2313yes—
403#14579141C2311yescharacteristic
404#14579140C2316yes—
405#14579140C2313yes—
406#14579140C2313yes—
407#14579140C2316yes—
408#14579140C2316yes—
409#14579140C2313yes—
410#14579140C2313yes—
411#14579140C2313yes—
412#14579140C2313yes—
413#14579140C2313yes—
414#14579140C2313yes—
415#14579139C2316yes—
416#14579139C2313yes—
417#14579139C2316yes—
418#14579139C2316yes—
419#14579139C2316yes—
420#14579139C2313yes—
421#14579139C2313yes—
422#14579139C2313yes—
423#14579139C2313yes—
424#14579139C2311yescharacteristic
425#14579138C2316yes—
426#14579138C2316yes—
427#14579138C2316yes—
428#14579138C2313yes—
429#14579138C2316yes—
430#14579138C2313yes—
431#14579138C2316yes—
432#14579138C2316yes—
433#14579138C2316yes—
434#14579138C2316yes—
435#14579138C2313yes—
436#14579138C2316yes—
437#14579138C2313yes—
438#14579138C2313yes—
439#14579138C2313yes—
440#14579138C2316yes—
441#14579138C2313yes—
442#14579138C2313yes—
443#14579138C2313yes—
444#14579138C2311yescharacteristic
445#14579138C2313yes—
446#14579138C2311yescharacteristic
447#14579137C2316yes—
448#14579137C2313yes—
449#14579137C2313yes—
450#14579137C2313yes—
451#14579137C2313yes—
452#14579136C2313yes—
453#14579135C2313yes—
454#14579135C2313yes—
455#14579135C2313yes—
456#14579135C2313yes—
457#14579134C2313yes—
458#14579134C2316yes—
459#14579134C2313yes—
460#14579133C2313yes—
461#14579133C2316yes—
462#14579133C2316yes—
463#14579133C2316yes—
464#14579133C2313yes—
465#14579133C2313yes—
466#14579133C2313yes—
467#14579132C2313yes—
468#14579132C2316yes—
469#14579132C2316yes—
470#14579132C2313yes—
471#14579132C2313yes—
472#14579132C2313yes—
473#14579132C2313yes—
474#14579132C2313yes—
475Q8×Dic79C2313yes—
476Q8×Dic79C2313yes—
477Q8×Dic79C2316yes—
478Q8×Dic79C2313yes—
479Q8×Dic79C2313yes—
480Q8×Dic79C2311yescharacteristic
481Q8×Dic79C2311yescharacteristic
482Q8×Dic79C2311yescharacteristic
483Q8×Dic79C2311yescharacteristic
484Q8×Dic79C2311yescharacteristic
485Q8×Dic79C2311yescharacteristic
486C4×Dic158C2316yes—
487C4×Dic158C2316yes—
488C4×Dic158C2316yes—
489C4×Dic158C2313yes—
490C4×Dic158C2313yes—
491C4×Dic158C2313yes—
492C4×Dic158C2313yes—
493C4×Dic158C2313yes—
494C4×Dic158C2313yes—
495C4×Dic158C2313yes—
496C4×Dic158C2313yes—
497C4×Dic158C2313yes—
498C4×Dic158C2313yes—
499C4×Dic158C2313yes—
500C4×Dic158C2313yes—
501#14579126C2316yes—
502#14579126C2313yes—
503#14579126C2313yes—
504#14579126C2313yes—
505C4×D316C2313yes—
506C4×D316C2313yes—
507C4×D316C2313yes—
508C4×D316C2313yes—
509D4×Dic79C2316yes—
510D4×Dic79C2316yes—
511D4×Dic79C2316yes—
512D4×Dic79C2313yes—
513D4×Dic79C2313yes—
514D4×Dic79C2313yes—
515D4×Dic79C2313yes—
516D4×Dic79C2313yes—
517D4×Dic79C2313yes—
518D4×Dic79C2313yes—
519D4×Dic79C2313yes—
520#14579123C2313yes—
521#14579123C2313yes—
522#14579123C2313yes—
523C4×C22⋊D79C2316yes—
524C4×C22⋊D79C2316yes—
525C4×C22⋊D79C2313yes—
526C4×C22⋊D79C2313yes—
527C4×C22⋊D79C2313yes—
528C4×C22⋊D79C2313yes—
529C4×C22⋊D79C2313yes—
530C4×C22⋊D79C2313yes—
531(C22⋊D79)⋊C4C2316yes—
532(C22⋊D79)⋊C4C2316yes—
533(C22⋊D79)⋊C4C2316yes—
534#14579120C2313yes—
535#14579120C2313yes—
536#14579120C2313yes—
537#14579120C2313yes—
538#14579120C2313yes—
539#14579120C2313yes—
540#14579119C2316yes—
541#14579119C2313yes—
542#14579119C2313yes—
543#14579119C2313yes—
544#14579118C2313yes—
545#14579118C2313yes—
546#14579118C2313yes—
547#14579118C2313yes—
548#14579118C2316yes—
549#14579118C2316yes—
550#14579117C2316yes—
551#14579117C2316yes—
552#14579117C2316yes—
553C2×C4⋊Dic79C2316yes—
554C2×C4⋊Dic79C2313yes—
555C2×C4⋊Dic79C2313yes—
556C2×C4⋊Dic79C2313yes—
557C2×C4⋊Dic79C2313yes—
558C2×Dic79⋊C4C2316yes—
559C4⋊C4×D79C2316yes—
560C4⋊C4×D79C2316yes—
561C4⋊C4×D79C2313yes—
562C4⋊C4×D79C2313yes—
563C4⋊C4×D79C2313yes—
564C2×C4×Dic79C2313yes—
565C2×C4×Dic79C2313yes—
566C42×D79C2313yes—
567C42×D79C2313yes—
568C2×#41×C79C2311yescharacteristic
569C2×#41×C79C2311yescharacteristic
570C22×Q8×C79C2311yescharacteristic
571C4⋊Q8×C79C2313yes—
572#127×C79C2313yes—
573#126×C79C2316yes—
574#126×C79C2311yescharacteristic
575#126×C79C2313yes—
576#125×C79C2313yes—
577#125×C79C2313yes—
578#125×C79C2313yes—
579#124×C79C2316yes—
580#124×C79C2313yes—
581#124×C79C2313yes—
582#124×C79C2313yes—
583#123×C79C2316yes—
584#123×C79C2316yes—
585#123×C79C2313yes—
586#123×C79C2313yes—
587C22⋊Q8×C79C2313yes—
588C22⋊Q8×C79C2313yes—
589C22⋊Q8×C79C2313yes—
590#121×C79C2316yes—
591#121×C79C2313yes—
592#121×C79C2313yes—
593#121×C79C2313yes—
594#121×C79C2313yes—
595#121×C79C2313yes—
596C4×Q8×C79C2313yes—
597C4×Q8×C79C2311yescharacteristic
598C4×Q8×C79C2311yescharacteristic
599C4×Q8×C79C2313yes—
600C4×Q8×C79C2311yescharacteristic
601C4×Q8×C79C2311yescharacteristic
602C4×Q8×C79C2313yes—
603C4×D4×C79C2316yes—
604C4×D4×C79C2313yes—
605C4×D4×C79C2313yes—
606C4×D4×C79C2313yes—
607C4×D4×C79C2313yes—
608C4×D4×C79C2313yes—
609C4×D4×C79C2313yes—
610C4×D4×C79C2313yes—
611#117×C79C2316yes—
612#117×C79C2313yes—
613#117×C79C2313yes—
614#117×C79C2313yes—
615#117×C79C2313yes—
616C2×C4⋊C4×C79C2313yes—
617C2×C42×C79C2313yes—
618#11929625—24no—
619#11929624—86no—
620#11929623—86no—
621#11929623—86no—
622C2×Dic158—86no—
623C2×Dic158—86no—
624C2×Dic158C2413yes—
625C2×Dic158C2413yes—
626C2×Dic158C2416yes—
627C2×Dic158C2413yes—
628C2×Dic158C2413yes—
629C2×Dic158C2413yes—
630C2×Dic158C2416yes—
631C2×Dic158C2416yes—
632C2×Dic158C2413yes—
633C2×Dic158C2411yescharacteristic
634C2×Dic158C2411yescharacteristic
635C2×Dic158C2413yes—
636C2×Dic158C2411yescharacteristic
637Q8×D79—24no—
638C2×D316C2413yes—
639C2×D316C2413yes—
640C2×C22⋊D79C2413yes—
641C2×C22⋊D79C2416yes—
642C2×C22⋊D79C2416yes—
643C2×C22⋊D79C2413yes—
644C2×C22⋊D79C2413yes—
645C2×C22⋊D79C2413yes—
646C2×C22⋊D79C2411yescharacteristic
647C2×C22⋊D79C2413yes—
648C22×Dic79C2413yes—
649C22×Dic79C2416yes—
650C22×Dic79C2416yes—
651C22×Dic79C2416yes—
652C22×Dic79C2413yes—
653C22×Dic79C2411yescharacteristic
654C22×Dic79C2413yes—
655C2×C4×D79C2413yes—
656C2×C4×D79C2413yes—
657C2×C4×D79C2413yes—
658C2×C4×D79C2416yes—
659C2×C4×D79C2413yes—
660C2×C4×D79C2411yescharacteristic
661C2×C4×D79C2413yes—
662C2×C4×D79C2416yes—
663C4⋊Dic79C2413yes—
664C4⋊Dic79C2413yes—
665C4⋊Dic79C2413yes—
666C4⋊Dic79C2416yes—
667C4⋊Dic79C2413yes—
668C4⋊Dic79C2413yes—
669C4⋊Dic79C2413yes—
670C4⋊Dic79C2413yes—
671C4⋊Dic79C2413yes—
672C4⋊Dic79C2413yes—
673C4⋊Dic79C2413yes—
674C4⋊Dic79C2413yes—
675C4⋊Dic79C2413yes—
676C4⋊Dic79C2416yes—
677C4⋊Dic79C2416yes—
678C4⋊Dic79C2411yescharacteristic
679C4⋊Dic79C2411yescharacteristic
680C4⋊Dic79C2411yescharacteristic
681C4⋊Dic79C2413yes—
682C4⋊Dic79C2413yes—
683C4⋊Dic79C2413yes—
684C4⋊Dic79C2416yes—
685C4⋊Dic79C2413yes—
686C4⋊Dic79C2411yescharacteristic
687C4⋊Dic79C2413yes—
688C4⋊Dic79C2411yescharacteristic
689C4⋊Dic79C2411yescharacteristic
690C4⋊Dic79C2413yes—
691Dic79⋊C4C2413yes—
692Dic79⋊C4C2413yes—
693Dic79⋊C4C2413yes—
694Dic79⋊C4C2413yes—
695Dic79⋊C4C2416yes—
696Dic79⋊C4C2416yes—
697Dic79⋊C4C2416yes—
698Dic79⋊C4C2413yes—
699Dic79⋊C4C2413yes—
700Dic79⋊C4C2416yes—
701Dic79⋊C4C2413yes—
702Dic79⋊C4C2413yes—
703Dic79⋊C4C2416yes—
704Dic79⋊C4C2413yes—
705Dic79⋊C4C2411yescharacteristic
706Dic79⋊C4C2411yescharacteristic
707Dic79⋊C4C2413yes—
708Dic79⋊C4C2413yes—
709Dic79⋊C4C2413yes—
710Dic79⋊C4C2413yes—
711Dic79⋊C4C2413yes—
712Dic79⋊C4C2413yes—
713Dic79⋊C4C2413yes—
714Dic79⋊C4C2413yes—
715Dic79⋊C4C2413yes—
716Dic79⋊C4C2411yescharacteristic
717Dic79⋊C4C2411yescharacteristic
718Dic79⋊C4C2413yes—
719Dic79⋊C4C2413yes—
720Dic79⋊C4C2413yes—
721Dic79⋊C4C2413yes—
722Dic79⋊C4C2413yes—
723Dic79⋊C4C2413yes—
724Dic79⋊C4C2411yescharacteristic
725Dic79⋊C4C2411yescharacteristic
726Dic79⋊C4C2413yes—
727Dic79⋊C4C2411yescharacteristic
728C22⋊Dic79C2416yes—
729C22⋊Dic79C2413yes—
730C22⋊Dic79C2413yes—
731C22⋊Dic79C2411yescharacteristic
732C22⋊Dic79C2413yes—
733C22⋊Dic79C2413yes—
734C22⋊Dic79C2413yes—
735C22⋊Dic79C2413yes—
736C22⋊Dic79C2416yes—
737C22⋊Dic79C2413yes—
738C22⋊Dic79C2413yes—
739C22⋊Dic79C2411yescharacteristic
740C22⋊Dic79C2413yes—
741C22⋊Dic79C2413yes—
742C22⋊Dic79C2416yes—
743C22⋊Dic79C2413yes—
744C22⋊Dic79C2413yes—
745(C2×D79)⋊C4C2411yescharacteristic
746(C2×D79)⋊C4C2411yescharacteristic
747(C2×D79)⋊C4C2413yes—
748(C2×D79)⋊C4C2416yes—
749(C2×D79)⋊C4C2413yes—
750(C2×D79)⋊C4C2413yes—
751(C2×D79)⋊C4C2416yes—
752(C2×D79)⋊C4C2413yes—
753(C2×D79)⋊C4C2413yes—
754(C2×D79)⋊C4C2413yes—
755(C2×D79)⋊C4C2413yes—
756(C2×D79)⋊C4C2413yes—
757(C2×D79)⋊C4C2416yes—
758(C2×D79)⋊C4C2413yes—
759(C2×D79)⋊C4C2413yes—
760(C2×D79)⋊C4C2411yescharacteristic
761(C2×D79)⋊C4C2411yescharacteristic
762(C2×D79)⋊C4C2413yes—
763(C2×D79)⋊C4C2411yescharacteristic
764C4×Dic79C2411yescharacteristic
765C4×Dic79C2413yes—
766C4×Dic79C2413yes—
767C4×Dic79C2413yes—
768C4×Dic79C2413yes—
769C4×Dic79C2413yes—
770C4×Dic79C2411yescharacteristic
771C4×Dic79C2413yes—
772C4×Dic79C2413yes—
773C4×Dic79C2413yes—
774C4×Dic79C2413yes—
775C4×Dic79C2413yes—
776C4×Dic79C2413yes—
777C4×Dic79C2413yes—
778C4×Dic79C2416yes—
779C4×Dic79C2416yes—
780C4×Dic79C2416yes—
781#41×C79—24no—
782#41×C79—24no—
783C2×Q8×C79—24no—
784C2×Q8×C79C2413yes—
785C2×Q8×C79C2413yes—
786C2×Q8×C79C2411yescharacteristic
787C2×D4×C79C2413yes—
788C2×D4×C79C2413yes—
789C2×D4×C79C2413yes—
790C2×D4×C79C2413yes—
791C2×D4×C79C2413yes—
792C2×D4×C79C2416yes—
793C22×C4×C79C2413yes—
794C22×C4×C79C2413yes—
795C22×C4×C79C2413yes—
796C22×C4×C79C2413yes—
797C22×C4×C79C2416yes—
798C22×C4×C79C2413yes—
799C4⋊C4×C79C2413yes—
800C4⋊C4×C79C2413yes—
801C4⋊C4×C79C2413yes—
802C4⋊C4×C79C2411yescharacteristic
803C4⋊C4×C79C2413yes—
804C4⋊C4×C79C2413yes—
805C4⋊C4×C79C2413yes—
806C4⋊C4×C79C2413yes—
807C4⋊C4×C79C2413yes—
808C4⋊C4×C79C2416yes—
809C4⋊C4×C79C2411yescharacteristic
810C4⋊C4×C79C2413yes—
811C4⋊C4×C79C2413yes—
812C4⋊C4×C79C2411yescharacteristic
813C4⋊C4×C79C2413yes—
814C22⋊C4×C79C2411yescharacteristic
815C22⋊C4×C79C2413yes—
816C22⋊C4×C79C2413yes—
817C22⋊C4×C79C2413yes—
818C22⋊C4×C79C2416yes—
819C22⋊C4×C79C2413yes—
820C22⋊C4×C79C2416yes—
821C22⋊C4×C79C2411yescharacteristic
822C22⋊C4×C79C2413yes—
823C22⋊C4×C79C2411yescharacteristic
824C22⋊C4×C79C2413yes—
825C22⋊C4×C79C2416yes—
826C22⋊C4×C79C2413yes—
827C42×C79C2411yescharacteristic
828C42×C79C2413yes—
829C42×C79C2413yes—
830C42×C79C2413yes—
831C42×C79C2416yes—
832C42×C79C2413yes—
833C42×C79C2413yes—
834C23×C79C2511yescharacteristic
835C23×C79C2513yes—
836C23×C79C2513yes—
837C22×D79C2511yescharacteristic
838C22×D79C2513yes—
839Q8×C79—26no—
840Q8×C79—43no—
841Q8×C792−1+414yes—
842D4×C79—26no—
843D4×C79—26no—
844D4×C79—43no—
845D4×C79—43no—
846D4×C79—43no—
847D4×C79—46no—
848C2×C4×C79—26no—
849C2×C4×C79—26no—
850C2×C4×C79—26no—
851C2×C4×C79—43no—
852C2×C4×C79—46no—
853C2×C4×C79—43no—
854C2×C4×C79C2513yes—
855C2×C4×C79C2511yescharacteristic
856C2×C4×C79C2511yescharacteristic
857C2×C4×C79C2513yes—
858C2×C4×C79C2513yes—
859C2×C4×C79C2511yescharacteristic
860C2×C4×C79C2513yes—
861C2×C4×C79C2511yescharacteristic
862C2×C4×C79C2511yescharacteristic
863C2×C4×C79C2511yescharacteristic
864C2×C4×C79C2513yes—
865C2×C4×C79C2513yes—
866C22⋊D79—43no—
867C22⋊D79—43no—
868C22⋊D79—41no—
869C22⋊D79—43no—
870C22⋊D79—46no—
871C22⋊D79—43no—
872C22⋊D79—46no—
873C22⋊D79—43no—
874C2×Dic79—41no—
875C2×Dic79—43no—
876C2×Dic79—43no—
877C2×Dic79—46no—
878C2×Dic79—46no—
879C2×Dic79—46no—
880C2×Dic79—43no—
881C2×Dic79C2511yescharacteristic
882C2×Dic79C2513yes—
883C2×Dic79C2511yescharacteristic
884C2×Dic79C2511yescharacteristic
885C2×Dic79C2511yescharacteristic
886C2×Dic79C2511yescharacteristic
887C2×Dic79C2513yes—
888C2×Dic79C2513yes—
889C2×Dic79C2511yescharacteristic
890C2×Dic79C2513yes—
891C2×Dic79C2513yes—
892C2×Dic79C2511yescharacteristic
893C2×Dic79C2513yes—
894C2×Dic79C2513yes—
895D316—26no—
896D316—43no—
897C4×D79—26no—
898C4×D79—26no—
899C4×D79—41no—
900C4×D79—43no—
901C4×D79—46no—
902C4×D79—43no—
903C4×D79—46no—
904C4×D79—43no—
905Dic158—26no—
906Dic158—43no—
907Dic158—43no—
908Dic158—46no—
909Dic158—43no—
910Dic158—43no—
911Dic158—46no—
912Dic158—46no—
913Dic158—41no—
914Dic158—41no—
915Dic158—41no—
916Dic158—43no—
917Dic158—43no—
918C22×C79—21no—
919C22×C79—23no—
920C22×C79—23no—
921C22×C79—23no—
922C22×C79—21no—
923C22×C79—23no—
924C22×C79—23no—
925C22×C79—21no—
926C22×C79—23no—
927C22×C79C2611yescharacteristic
928C2×D79—21no—
929C2×D79—23no—
930C2×D79—23no—
931C2×D79—21no—
932C2×D79—21no—
933C2×D79—23no—
934C4×C79—21no—
935C4×C79—21no—
936C4×C79—23no—
937C4×C79—21no—
938C4×C79—23no—
939C4×C79—23no—
940C4×C79—21no—
941C4×C79—21no—
942C4×C79—23no—
943C4×C79—23no—
944C4×C79—21no—
945C4×C79C2×2−1+416yes—
946Dic79—23no—
947Dic79—21no—
948Dic79—23no—
949Dic79—23no—
950Dic79—23no—
951Dic79—23no—
952Dic79—21no—
953Dic79—23no—
954Dic79—21no—
955Dic79—21no—
956Dic79—21no—
957Dic79—23no—
958Dic79—21no—
959Dic79—21no—
960#63061—791nomaximal, Sylow
961C2×C79—41no—
962C2×C79—43no—
963C2×C79—43no—
964C2×C79C22×2−1+411yescharacteristic
965C2×C79H(7,𝔽2)11yescharacteristic
966C2×C792−1+611yescharacteristic
967D79—41no—
968D79—43no—
969#3565—793no—
970#3565—793no—
971#3563—793no—
972#3559—793no—
973#3557—793no—
974#3557—793no—
975#3554—793no—
976#3554—793no—
977#3552—793no—
978#3552—793no—
979#3550—793no—
980#3547—793no—
981#3547—793no—
982#3544—793no—
983#3544—793no—
984#3531—793no—
985#3524—791no—
986#3524—791no—
987#3524—791no—
988#3524D7911yescharacteristic, complemented
989#3522—791no—
990#3522—791no—
991#3518—791no—
992#3517—791no—
993#3516—791no—
994#3516—791no—
995#3504—791no—
996#3503—791no—
997#3503—791no—
998#3502—791no—
999#3502—791no—
1000C79#6306111yescharacteristic, complemented, Sylow
1001#564—793no—
1002#563—791no—
1003#563—793no—
1004#563—793no—
1005#563—793no—
1006#563—796no—
1007#563—796no—
1008#563—793no—
1009#563—793no—
1010#563—793no—
1011#563—793no—
1012#563—796no—
1013#563—793no—
1014#563—793no—
1015#562—793no—
1016#562—796no—
1017#562—793no—
1018#562—793no—
1019#562—793no—
1020#562—793no—
1021#562—796no—
1022#559—793no—
1023#559—793no—
1024#559—793no—
1025#559—793no—
1026#559—793no—
1027#559C2×D7913yes—
1028Q82—791no—
1029Q82—791no—
1030Q82—793no—
1031Q82—793no—
1032Q82—791no—
1033#557—793no—
1034#557—793no—
1035#557—793no—
1036#557—791no—
1037#557—791no—
1038#557—793no—
1039#557—793no—
1040#557—791no—
1041#557—791no—
1042#557—791no—
1043#557—793no—
1044#557—791no—
1045#557C2×D7911yescharacteristic
1046#556—793no—
1047#556—793no—
1048#556—796no—
1049#556—793no—
1050#556—793no—
1051#556—793no—
1052#555—793no—
1053#555—793no—
1054#555—793no—
1055#555—793no—
1056#555C2×D7913yes—
1057#554—793no—
1058#554—793no—
1059#554—793no—
1060#554—793no—
1061#554—793no—
1062#554—793no—
1063#554—793no—
1064#554—793no—
1065#554—793no—
1066#554—793no—
1067#554—793no—
1068#554—793no—
1069#553—793no—
1070#553—793no—
1071#553—793no—
1072#553—793no—
1073#553—793no—
1074#553—793no—
1075#553—793no—
1076#553C2×D7913yes—
1077#552—796no—
1078#552—793no—
1079#552—793no—
1080#552—796no—
1081#552—793no—
1082#552—793no—
1083#552—796no—
1084#552—793no—
1085#552—796no—
1086#552C2×D7913yes—
1087#550—791no—
1088#550—791no—
1089#550—793no—
1090#550C2×D7911yescharacteristic
1091D4×Q8—791no—
1092D4×Q8—793no—
1093D4×Q8—793no—
1094D4×Q8—793no—
1095D4×Q8—793no—
1096D4×Q8—796no—
1097#548—791no—
1098#548—791no—
1099#548—791no—
1100#548—796no—
1101#548—791no—
1102#548—796no—
1103#548C2×D7911yescharacteristic
1104#548C2×D7911yescharacteristic
1105#547—796no—
1106#547—793no—
1107#547—796no—
1108#547—793no—
1109#547—793no—
1110#547—793no—
1111#547—793no—
1112#544—793no—
1113#544—793no—
1114#544—793no—
1115#544—793no—
1116#544—796no—
1117#544—793no—
1118#544—793no—
1119#544—793no—
1120#544—793no—
1121#544—793no—
1122#544—793no—
1123#542—796no—
1124#542—796no—
1125#542—793no—
1126#542—793no—
1127#542—793no—
1128#542—796no—
1129#542—796no—
1130#542—796no—
1131#542—793no—
1132#542—793no—
1133#542—793no—
1134#542—793no—
1135#542—793no—
1136#542—793no—
1137#542—796no—
1138#542—793no—
1139#542—793no—
1140#542C2×D7913yes—
1141#541—796no—
1142#541—793no—
1143#541—793no—
1144#541—796no—
1145#540—793no—
1146#540—793no—
1147#540—793no—
1148#540—793no—
1149#540—793no—
1150#540C2×D7913yes—
1151#539—796no—
1152#539—796no—
1153#539—796no—
1154#539—796no—
1155#539—796no—
1156#539—796no—
1157#537—796no—
1158#536—796no—
1159#536—796no—
1160#536—796no—
1161#536—796no—
1162#533—793no—
1163#533—793no—
1164#533—793no—
1165#533—793no—
1166#533—793no—
1167#533—793no—
1168#533—793no—
1169#533—793no—
1170#532—793no—
1171#532—793no—
1172#532—793no—
1173C2×C4⋊Q8—793no—
1174C2×C4⋊Q8—793no—
1175#529—793no—
1176#529—793no—
1177#529—793no—
1178#529—793no—
1179#529—793no—
1180#529—793no—
1181#529—793no—
1182#529—793no—
1183#529—793no—
1184#529—793no—
1185#529—793no—
1186#529—793no—
1187#529—793no—
1188#529—793no—
1189#529C2×D7913yes—
1190#529C2×D7913yes—
1191C2×#125—793no—
1192#520—791no—
1193#520—791no—
1194#520—791no—
1195#520—791no—
1196#520—791no—
1197#520C2×D7911yescharacteristic
1198#519—791no—
1199#519—791no—
1200#519—791no—
1201#519C2×D7911yescharacteristic
1202C4×#41—791no—
1203C4×#41—791no—
1204C4×#41C2×D7911yescharacteristic
1205C2×C4×Q8—791no—
1206C2×C4×Q8—791no—
1207C2×#41—791no—
1208C2×#41—796no—
1209C2×#41—796no—
1210C2×#41—796no—
1211C2×#41C22×D7911yescharacteristic
1212C2×#41C22×D7911yescharacteristic
1213C22×Q8—791no—
1214C22×Q8—796no—
1215C22×Q8—796no—
1216C22×Q8C22×D7911yescharacteristic
1217C4⋊Q8—793no—
1218C4⋊Q8—793no—
1219C4⋊Q8—793no—
1220C4⋊Q8—793no—
1221C4⋊Q8—796no—
1222C4⋊Q8—793no—
1223C4⋊Q8—793no—
1224C4⋊Q8—793no—
1225C4⋊Q8—793no—
1226C4⋊Q8—793no—
1227C4⋊Q8—793no—
1228C4⋊Q8—791no—
1229C4⋊Q8—793no—
1230C4⋊Q8—793no—
1231C4⋊Q8—793no—
1232C4⋊Q8—793no—
1233C4⋊Q8—793no—
1234C4⋊Q8—793no—
1235C4⋊Q8—793no—
1236C4⋊Q8—796no—
1237C4⋊Q8—796no—
1238C4⋊Q8—796no—
1239C4⋊Q8—793no—
1240C4⋊Q8—796no—
1241C4⋊Q8—793no—
1242C4⋊Q8—793no—
1243C4⋊Q8—793no—
1244C4⋊Q8—793no—
1245C4⋊Q8—793no—
1246C4⋊Q8—791no—
1247C4⋊Q8—793no—
1248C4⋊Q8—796no—
1249C4⋊Q8C22×D7913yes—
1250#127—793no—
1251#127—793no—
1252#127C22×D7913yes—
1253#126—791no—
1254#126—793no—
1255#126—793no—
1256#126—793no—
1257#126—793no—
1258#126—793no—
1259#126—796no—
1260#126—791no—
1261#126—793no—
1262#126—796no—
1263#126—796no—
1264#126—793no—
1265#126—793no—
1266#126—793no—
1267#126—793no—
1268#126—793no—
1269#126—793no—
1270#126—793no—
1271#126—793no—
1272#126—796no—
1273#126—796no—
1274#126—796no—
1275#126—796no—
1276#126—796no—
1277#126—791no—
1278#126—793no—
1279#126—796no—
1280#126C22×D7911yescharacteristic
1281#126C22×D7913yes—
1282#126C22×D7916yes—
1283#125—793no—
1284#125—796no—
1285#125—793no—
1286#125—793no—
1287#125—791no—
1288#125—793no—
1289#125—793no—
1290#125—793no—
1291#125—793no—
1292#125—793no—
1293#125—793no—
1294#125—793no—
1295#125—793no—
1296#125—793no—
1297#125—793no—
1298#125—791no—
1299#125—793no—
1300#125—793no—
1301#125—793no—
1302#125—793no—
1303#125—793no—
1304#125—793no—
1305#125—793no—
1306#125—793no—
1307#125—793no—
1308#125—793no—
1309#125—796no—
1310#125—796no—
1311#125—796no—
1312#125—796no—
1313#125—796no—
1314#125—793no—
1315#125—793no—
1316#125—793no—
1317#125—793no—
1318#125—793no—
1319#125—793no—
1320#125—796no—
1321#125C22×D7913yes—
1322#125C22×D7913yes—
1323#125C22×D7913yes—
1324#124—793no—
1325#124—793no—
1326#124—793no—
1327#124—793no—
1328#124—793no—
1329#124—796no—
1330#124—791no—
1331#124—793no—
1332#124—793no—
1333#124—793no—
1334#124—793no—
1335#124—793no—
1336#124—796no—
1337#124—796no—
1338#124—796no—
1339#124—796no—
1340#124—796no—
1341#124—793no—
1342#124—793no—
1343#124—796no—
1344#124C22×D7913yes—
1345#124C22×D7913yes—
1346#124C22×D7913yes—
1347#124C22×D7916yes—
1348#123—793no—
1349#123—793no—
1350#123—796no—
1351#123—793no—
1352#123—793no—
1353#123—796no—
1354#123—796no—
1355#123—796no—
1356#123—793no—
1357#123—793no—
1358#123—796no—
1359#123—793no—
1360#123—793no—
1361#123—791no—
1362#123—793no—
1363#123—791no—
1364#123—796no—
1365#123—793no—
1366#123—793no—
1367#123—793no—
1368#123—793no—
1369#123—793no—
1370#123—793no—
1371#123—793no—
1372#123—796no—
1373#123—796no—
1374#123—796no—
1375#123—796no—
1376#123—796no—
1377#123—796no—
1378#123—796no—
1379#123—796no—
1380#123C22×D7913yes—
1381#123C22×D7913yes—
1382#123C22×D7916yes—
1383#123C22×D7916yes—
1384C22⋊Q8—793no—
1385C22⋊Q8—793no—
1386C22⋊Q8—793no—
1387C22⋊Q8—793no—
1388C22⋊Q8—796no—
1389C22⋊Q8—793no—
1390C22⋊Q8—793no—
1391C22⋊Q8—793no—
1392C22⋊Q8—793no—
1393C22⋊Q8—793no—
1394C22⋊Q8—793no—
1395C22⋊Q8—793no—
1396C22⋊Q8—793no—
1397C22⋊Q8—796no—
1398C22⋊Q8—796no—
1399C22⋊Q8—796no—
1400C22⋊Q8—791no—
1401C22⋊Q8—793no—
1402C22⋊Q8—793no—
1403C22⋊Q8—793no—
1404C22⋊Q8—791no—
1405C22⋊Q8—796no—
1406C22⋊Q8—793no—
1407C22⋊Q8—793no—
1408C22⋊Q8—796no—
1409C22⋊Q8—793no—
1410C22⋊Q8—793no—
1411C22⋊Q8—793no—
1412C22⋊Q8—793no—
1413C22⋊Q8—796no—
1414C22⋊Q8—796no—
1415C22⋊Q8—796no—
1416C22⋊Q8—796no—
1417C22⋊Q8—796no—
1418C22⋊Q8—791no—
1419C22⋊Q8—793no—
1420C22⋊Q8—793no—
1421C22⋊Q8—793no—
1422C22⋊Q8—793no—
1423C22⋊Q8—791no—
1424C22⋊Q8—796no—
1425C22⋊Q8—793no—
1426C22⋊Q8—793no—
1427C22⋊Q8—793no—
1428C22⋊Q8—793no—
1429C22⋊Q8—793no—
1430C22⋊Q8—793no—
1431C22⋊Q8—796no—
1432C22⋊Q8—796no—
1433C22⋊Q8—796no—
1434C22⋊Q8—796no—
1435C22⋊Q8—796no—
1436C22⋊Q8—796no—
1437C22⋊Q8—796no—
1438C22⋊Q8—796no—
1439C22⋊Q8—796no—
1440C22⋊Q8C22×D7913yes—
1441C22⋊Q8C22×D7913yes—
1442C22⋊Q8C22×D7913yes—
1443#121—793no—
1444#121—793no—
1445#121—793no—
1446#121—793no—
1447#121—793no—
1448#121—793no—
1449#121—793no—
1450#121—796no—
1451#121—793no—
1452#121—793no—
1453#121—793no—
1454#121—796no—
1455#121—796no—
1456#121—796no—
1457#121—796no—
1458#121—793no—
1459#121—793no—
1460#121—793no—
1461#121—793no—
1462#121—793no—
1463#121—793no—
1464#121—793no—
1465#121—796no—
1466#121C22×D7913yes—
1467#121C22×D7913yes—
1468#121C22×D7913yes—
1469#121C22×D7913yes—
1470#121C22×D7913yes—
1471#121C22×D7916yes—
1472C4×Q8—791no—
1473C4×Q8—791no—
1474C4×Q8—791no—
1475C4×Q8—793no—
1476C4×Q8—793no—
1477C4×Q8—791no—
1478C4×Q8—791no—
1479C4×Q8—791no—
1480C4×Q8—793no—
1481C4×Q8—793no—
1482C4×Q8—796no—
1483C4×Q8—793no—
1484C4×Q8—793no—
1485C4×Q8—793no—
1486C4×Q8—796no—
1487C4×Q8—793no—
1488C4×Q8—793no—
1489C4×Q8—793no—
1490C4×Q8—793no—
1491C4×Q8—793no—
1492C4×Q8—793no—
1493C4×Q8—793no—
1494C4×Q8—793no—
1495C4×Q8—793no—
1496C4×Q8—793no—
1497C4×Q8—793no—
1498C4×Q8—793no—
1499C4×Q8—796no—
1500C4×Q8—796no—
1501C4×Q8—796no—
1502C4×Q8C22×D7911yescharacteristic
1503C4×Q8C22×D7911yescharacteristic
1504C4×Q8C22×D7911yescharacteristic
1505C4×Q8C22×D7911yescharacteristic
1506C4×Q8C22×D7913yes—
1507C4×Q8C22×D7913yes—
1508C4×Q8C22×D7913yes—
1509C4×D4—793no—
1510C4×D4—793no—
1511C4×D4—793no—
1512C4×D4—793no—
1513C4×D4—793no—
1514C4×D4—793no—
1515C4×D4—793no—
1516C4×D4—793no—
1517C4×D4—796no—
1518C4×D4—796no—
1519C4×D4—796no—
1520C4×D4—793no—
1521C4×D4—793no—
1522C4×D4—793no—
1523C4×D4—793no—
1524C4×D4—793no—
1525C4×D4—793no—
1526C4×D4—796no—
1527C4×D4—796no—
1528C4×D4—793no—
1529C4×D4—793no—
1530C4×D4—793no—
1531C4×D4—796no—
1532C4×D4—796no—
1533C4×D4—796no—
1534C4×D4—793no—
1535C4×D4—793no—
1536C4×D4—793no—
1537C4×D4—793no—
1538C4×D4C22×D7913yes—
1539C4×D4C22×D7913yes—
1540C4×D4C22×D7913yes—
1541C4×D4C22×D7913yes—
1542C4×D4C22×D7913yes—
1543C4×D4C22×D7913yes—
1544C4×D4C22×D7913yes—
1545C4×D4C22×D7916yes—
1546#117—793no—
1547#117—793no—
1548#117—793no—
1549#117—793no—
1550#117—793no—
1551#117—793no—
1552#117—793no—
1553#117—793no—
1554#117—793no—
1555#117—796no—
1556#117—796no—
1557#117—796no—
1558#117—796no—
1559#117—793no—
1560#117—793no—
1561#117—793no—
1562#117—793no—
1563#117—796no—
1564#117—796no—
1565#117C22×D7913yes—
1566#117C22×D7913yes—
1567#117C22×D7913yes—
1568#117C22×D7913yes—
1569#117C22×D7916yes—
1570C2×C4⋊C4—793no—
1571C2×C4⋊C4—793no—
1572C2×C4⋊C4—793no—
1573C2×C4⋊C4—793no—
1574C2×C4⋊C4—796no—
1575C2×C4⋊C4—796no—
1576C2×C4⋊C4—793no—
1577C2×C4⋊C4—793no—
1578C2×C4⋊C4—793no—
1579C2×C4⋊C4—796no—
1580C2×C4⋊C4—796no—
1581C2×C4⋊C4C22×D7913yes—
1582C2×C42—793no—
1583C2×C42—793no—
1584C2×C42—793no—
1585C2×C42—793no—
1586C2×C42C22×D7913yes—
1587#41—24no—
1588#41—24no—
1589#41—6326no—
1590#41—6326no—
1591#41—6326no—
1592#41—1584no—
1593C2×Q8—24no—
1594C2×Q8—791no—
1595C2×Q8—791no—
1596C2×Q8—793no—
1597C2×Q8—791no—
1598C2×Q8—793no—
1599C2×Q8—793no—
1600C2×Q8—796no—
1601C2×Q8—796no—
1602C2×Q8—796no—
1603C2×Q8—793no—
1604C2×Q8—793no—
1605C2×Q8—793no—
1606C2×Q8—793no—
1607C2×Q8—6326no—
1608C2×Q8—6326no—
1609C2×Q8—1584no—
1610C2×Q8C23×D7913yes—
1611C2×Q8C23×D7913yes—
1612C2×Q8C23×D7911yescharacteristic
1613C2×D4—793no—
1614C2×D4—791no—
1615C2×D4—793no—
1616C2×D4—793no—
1617C2×D4—793no—
1618C2×D4—793no—
1619C2×D4—796no—
1620C2×D4—796no—
1621C2×D4—793no—
1622C2×D4—793no—
1623C2×D4C23×D7913yes—
1624C2×D4C23×D7913yes—
1625C2×D4C23×D7913yes—
1626C2×D4C23×D7916yes—
1627C2×D4C23×D7913yes—
1628C2×D4C23×D7913yes—
1629C22×C4—791no—
1630C22×C4—793no—
1631C22×C4—793no—
1632C22×C4—793no—
1633C22×C4—796no—
1634C22×C4—796no—
1635C22×C4—796no—
1636C22×C4—791no—
1637C22×C4—793no—
1638C22×C4—793no—
1639C22×C4—793no—
1640C22×C4—796no—
1641C22×C4—796no—
1642C22×C4—793no—
1643C22×C4—793no—
1644C22×C4C23×D7913yes—
1645C22×C4C23×D7913yes—
1646C22×C4C23×D7913yes—
1647C22×C4C23×D7913yes—
1648C22×C4C23×D7913yes—
1649C22×C4C23×D7916yes—
1650C4⋊C4—793no—
1651C4⋊C4—793no—
1652C4⋊C4—796no—
1653C4⋊C4—793no—
1654C4⋊C4—793no—
1655C4⋊C4—793no—
1656C4⋊C4—793no—
1657C4⋊C4—796no—
1658C4⋊C4—796no—
1659C4⋊C4—796no—
1660C4⋊C4—791no—
1661C4⋊C4—791no—
1662C4⋊C4—793no—
1663C4⋊C4—793no—
1664C4⋊C4—793no—
1665C4⋊C4—793no—
1666C4⋊C4—793no—
1667C4⋊C4—793no—
1668C4⋊C4—796no—
1669C4⋊C4—793no—
1670C4⋊C4—793no—
1671C4⋊C4—793no—
1672C4⋊C4—793no—
1673C4⋊C4—791no—
1674C4⋊C4—791no—
1675C4⋊C4—793no—
1676C4⋊C4—793no—
1677C4⋊C4—793no—
1678C4⋊C4—793no—
1679C4⋊C4—793no—
1680C4⋊C4—793no—
1681C4⋊C4—793no—
1682C4⋊C4—793no—
1683C4⋊C4—791no—
1684C4⋊C4—791no—
1685C4⋊C4—791no—
1686C4⋊C4—793no—
1687C4⋊C4—793no—
1688C4⋊C4—793no—
1689C4⋊C4—793no—
1690C4⋊C4—793no—
1691C4⋊C4—793no—
1692C4⋊C4—793no—
1693C4⋊C4—793no—
1694C4⋊C4—796no—
1695C4⋊C4—793no—
1696C4⋊C4—793no—
1697C4⋊C4—793no—
1698C4⋊C4—793no—
1699C4⋊C4—793no—
1700C4⋊C4—796no—
1701C4⋊C4—796no—
1702C4⋊C4—791no—
1703C4⋊C4—791no—
1704C4⋊C4—791no—
1705C4⋊C4—793no—
1706C4⋊C4—793no—
1707C4⋊C4—793no—
1708C4⋊C4—796no—
1709C4⋊C4—793no—
1710C4⋊C4—791no—
1711C4⋊C4—793no—
1712C4⋊C4—791no—
1713C4⋊C4—791no—
1714C4⋊C4—793no—
1715C4⋊C4C23×D7913yes—
1716C4⋊C4C23×D7913yes—
1717C4⋊C4C23×D7913yes—
1718C4⋊C4C23×D7916yes—
1719C4⋊C4C23×D7913yes—
1720C4⋊C4C23×D7913yes—
1721C4⋊C4C23×D7913yes—
1722C4⋊C4C23×D7913yes—
1723C4⋊C4C23×D7911yescharacteristic
1724C4⋊C4C23×D7913yes—
1725C4⋊C4C23×D7913yes—
1726C4⋊C4C23×D7913yes—
1727C4⋊C4C23×D7911yescharacteristic
1728C4⋊C4C23×D7913yes—
1729C4⋊C4C23×D7911yescharacteristic
1730C22⋊C4—793no—
1731C22⋊C4—791no—
1732C22⋊C4—796no—
1733C22⋊C4—793no—
1734C22⋊C4—793no—
1735C22⋊C4—793no—
1736C22⋊C4—793no—
1737C22⋊C4—793no—
1738C22⋊C4—796no—
1739C22⋊C4—793no—
1740C22⋊C4—793no—
1741C22⋊C4—793no—
1742C22⋊C4—793no—
1743C22⋊C4—796no—
1744C22⋊C4—793no—
1745C22⋊C4—793no—
1746C22⋊C4—791no—
1747C22⋊C4—791no—
1748C22⋊C4—793no—
1749C22⋊C4—791no—
1750C22⋊C4—793no—
1751C22⋊C4—793no—
1752C22⋊C4—793no—
1753C22⋊C4—796no—
1754C22⋊C4—796no—
1755C22⋊C4—796no—
1756C22⋊C4—793no—
1757C22⋊C4—793no—
1758C22⋊C4—793no—
1759C22⋊C4—793no—
1760C22⋊C4—791no—
1761C22⋊C4—793no—
1762C22⋊C4—791no—
1763C22⋊C4—793no—
1764C22⋊C4—791no—
1765C22⋊C4—793no—
1766C22⋊C4C23×D7913yes—
1767C22⋊C4C23×D7913yes—
1768C22⋊C4C23×D7916yes—
1769C22⋊C4C23×D7913yes—
1770C22⋊C4C23×D7911yescharacteristic
1771C22⋊C4C23×D7913yes—
1772C22⋊C4C23×D7916yes—
1773C22⋊C4C23×D7913yes—
1774C22⋊C4C23×D7913yes—
1775C22⋊C4C23×D7916yes—
1776C22⋊C4C23×D7911yescharacteristic
1777C22⋊C4C23×D7913yes—
1778C22⋊C4C23×D7911yescharacteristic
1779C42—791no—
1780C42—791no—
1781C42—793no—
1782C42—793no—
1783C42—793no—
1784C42—793no—
1785C42—793no—
1786C42—793no—
1787C42—793no—
1788C42—793no—
1789C42—793no—
1790C42—793no—
1791C42—793no—
1792C42—793no—
1793C42—796no—
1794C42—796no—
1795C42—796no—
1796C42C23×D7913yes—
1797C42C23×D7913yes—
1798C42C23×D7911yescharacteristic
1799C42C23×D7913yes—
1800C42C23×D7913yes—
1801C42C23×D7913yes—
1802C42C23×D7916yes—
1803C23—791no—
1804C23—793no—
1805C23C24×D7911yescharacteristic
1806C23C24×D7913yes—
1807C23C24×D7913yes—
1808Q8—26no—
1809Q8—43no—
1810Q8—3166no—
1811Q8—3163no—
1812Q8—3163no—
1813Q8—3163no—
1814Q8—3163no—
1815Q8—3166no—
1816Q8—3166no—
1817Q8—3163no—
1818Q8—3161no—
1819Q8—3161no—
1820Q8—3163no—
1821Q8—3161no—
1822Q8—1586no—
1823Q8#1457920814yes—
1824D4—26no—
1825D4—26no—
1826D4—43no—
1827D4—46no—
1828D4—43no—
1829D4—43no—
1830D4—3163no—
1831D4—3163no—
1832D4—3161no—
1833D4—3163no—
1834D4—3163no—
1835D4—3163no—
1836D4—3166no—
1837D4—3166no—
1838D4—3163no—
1839D4—1586no—
1840C2×C4—26no—
1841C2×C4—26no—
1842C2×C4—26no—
1843C2×C4—43no—
1844C2×C4—43no—
1845C2×C4—46no—
1846C2×C4—3166no—
1847C2×C4—3163no—
1848C2×C4—3163no—
1849C2×C4—3166no—
1850C2×C4—3163no—
1851C2×C4—3161no—
1852C2×C4—3163no—
1853C2×C4—3166no—
1854C2×C4—3166no—
1855C2×C4—3166no—
1856C2×C4—3163no—
1857C2×C4—3163no—
1858C2×C4—3161no—
1859C2×C4—793no—
1860C2×C4—791no—
1861C2×C4—791no—
1862C2×C4—791no—
1863C2×C4—791no—
1864C2×C4—791no—
1865C2×C4—791no—
1866C2×C4—791no—
1867C2×C4—793no—
1868C2×C4—793no—
1869C2×C4—793no—
1870C2×C4—793no—
1871C2×C4—793no—
1872C2×C4—793no—
1873C2×C4—1586no—
1874C2×C4—1586no—
1875C2×C4C24×D7913yes—
1876C2×C4C24×D7911yescharacteristic
1877C2×C4C24×D7911yescharacteristic
1878C2×C4C24×D7913yes—
1879C2×C4C24×D7913yes—
1880C2×C4C24×D7911yescharacteristic
1881C2×C4C24×D7913yes—
1882C2×C4C24×D7911yescharacteristic
1883C2×C4C24×D7911yescharacteristic
1884C2×C4C24×D7911yescharacteristic
1885C2×C4C24×D7913yes—
1886C2×C4C24×D7913yes—
1887C22—21no—
1888C22—23no—
1889C22—23no—
1890C22—23no—
1891C22—23no—
1892C22—21no—
1893C22—23no—
1894C22—21no—
1895C22—23no—
1896C22—1581no—
1897C22—1583no—
1898C22—1581no—
1899C22—1583no—
1900C22—1583no—
1901C22—1581no—
1902C22C25×D7911yescharacteristic
1903C4—21no—
1904C4—21no—
1905C4—23no—
1906C4—23no—
1907C4—21no—
1908C4—23no—
1909C4—21no—
1910C4—21no—
1911C4—23no—
1912C4—23no—
1913C4—21no—
1914C4—1581no—
1915C4—1583no—
1916C4—1583no—
1917C4—1583no—
1918C4—1583no—
1919C4—1583no—
1920C4—1583no—
1921C4—1581no—
1922C4—1581no—
1923C4—1583no—
1924C4—1581no—
1925C4—1581no—
1926C4—1581no—
1927C4—1581no—
1928C4C2×#1457920816yes—
1929C2—41no—
1930C2—43no—
1931C2—43no—
1932C2—3161no—
1933C2—3163no—
1934C2C22×#1457920811yescharacteristic
1935C2#2377821111yescharacteristic
1936C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3524C2
hypercenter#3524D79
hypocenterC79#63061
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3524

Complements

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

NH ≅ G/Ntype
1. #23778051C2semidirect
2. #23778050C2semidirect
3. #23778007C2semidirect
4. #23777930C2semidirect
5. #23777902C2semidirect
6. #23777899C2semidirect
7. #23777870C2semidirect
8. #23777861C2semidirect
9. #23777845C2semidirect
10. #23777839C2semidirect
11. #23777812C2semidirect
12. #23777792C2semidirect
13. #23777784C2semidirect
14. #23777742C2semidirect
15. #23777740C2semidirect
16. #23777545C2semidirect
17. #23777510C2semidirect
18. #23777509C2semidirect
19. #23777498C2semidirect
20. #23777479C2semidirect
21. #23777476C2semidirect
22. #23777411C2semidirect
23. #23777401C2semidirect
24. #23777386C2semidirect
25. #23777382C2semidirect
26. #23777225C2semidirect
27. #23777219C2semidirect
28. #23777213C2semidirect
29. #23777206C2semidirect
30. #23777204C2semidirect
31. C79×#3524C2semidirect
988. #3524D79semidirect
1000. C79#63061semidirect

Maximal subgroups

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

subgroupindex
#237780512
#237780502
#237780072
#237779302
#237779022
#237778992
#237778702
#237778612
#237778452
#237778392
#237778122
#237777922
#237777842
#237777422
#237777402
#237775452
#237775102
#237775092
#237774982
#237774792
#237774762
#237774112
#237774012
#237773862
#237773822
#237772252
#237772192
#237772132
#237772062
#237772042
C79×#35242
#6306179