Finite Group Databasebeta

← #35197178

Subgroups — #35197178

Order 20224.

7148 conjugacy classes of subgroups.

The subgroup lattice has 2680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777964C214yesmaximal, complemented
2#23777933C212yesmaximal, complemented
3#23777930C212yesmaximal, complemented
4#23777862C214yesmaximal, complemented
5#23777809C212yesmaximal, complemented
6#23777795C212yesmaximal, complemented
7#23777791C211yesmaximal, characteristic, complemented
8#23777789C211yesmaximal, characteristic, complemented
9#23777783C211yesmaximal, characteristic, complemented
10#23777619C214yesmaximal, complemented
11#23777481C214yesmaximal, complemented
12#23777446C212yesmaximal, complemented
13#23777442C212yesmaximal, complemented
14#23777308C211yesmaximal, characteristic, complemented
15#23777302C212yesmaximal, complemented
16#23777300C212yesmaximal, complemented
17#23777300C211yesmaximal, characteristic, complemented
18#23777272C212yesmaximal, complemented
19#23777259C212yesmaximal, complemented
20#23777250C211yesmaximal, characteristic, complemented
21#23777242C211yesmaximal, characteristic, complemented
22#23777215C212yesmaximal, complemented
23#23777197C211yesmaximal, characteristic, complemented
24#23777195C211yesmaximal, characteristic, complemented
25#23777184C211yesmaximal, characteristic, complemented
26#23777179C211yesmaximal, characteristic, complemented
27#23777168C212yesmaximal, complemented
28#23777134C212yesmaximal, complemented
29#23777128C212yesmaximal, complemented
30#23777078C212yesmaximal, complemented
31#23777075C212yesmaximal, complemented
32#23776694C211yesmaximal, characteristic, complemented
33#533×D79C211yesmaximal, characteristic, complemented
34#532×D79C211yesmaximal, characteristic, complemented
35C79×#3547C211yesmaximal, characteristic, complemented
36C2×#14579209C2212yescomplemented
37C2×#14579208C2212yescomplemented
38C2×#41×D79C2212yes—
39#19099316C2214yescomplemented
40#19099312C2214yescomplemented
41#19099310C2214yescomplemented
42#19099309C2214yescomplemented
43#19099309C2214yescomplemented
44#19099308C2214yescomplemented
45#19099308C2214yescomplemented
46#19099297C2214yescomplemented
47#19099297C2214yescomplemented
48#19099297C2214yescomplemented
49#19099295C2214yescomplemented
50#19099293C2214yescomplemented
51#19099290C2214yescomplemented
52#19099284C2212yescomplemented
53#19099284C2212yescomplemented
54#19099281C2212yescomplemented
55#19099281C2212yescomplemented
56#19099281C2214yescomplemented
57#19099280C2214yescomplemented
58#19099279C2211yescharacteristic, complemented
59#19099278C2212yescomplemented
60#19099278C2211yescharacteristic, complemented
61#19099278C2211yescharacteristic, complemented
62#19099277C2212yescomplemented
63#19099276C2212yescomplemented
64#19099274C2212yescomplemented
65#19099274C2211yescharacteristic, complemented
66#19099273C2211yescharacteristic, complemented
67#19099272C2212yescomplemented
68#19099271C2212yescomplemented
69#19099271C2214yescomplemented
70#19099270C2212yescomplemented
71#19099270C2211yescharacteristic, complemented
72#19099269C2214yes—
73#19099269C2212yescomplemented
74#19099268C2212yescomplemented
75#19099267C2214yes—
76#19099267C2214yescomplemented
77#19099267C2214yescomplemented
78#19099266C2212yescomplemented
79#19099265C2212yescomplemented
80#19099263C2212yescomplemented
81#19099261C2212yescomplemented
82#19099260C2212yescomplemented
83#19099260C2212yescomplemented
84#19099260C2212yescomplemented
85#19099259C2212yescomplemented
86#19099257C2212yescomplemented
87#19099257C2212yescomplemented
88#19099257C2212yescomplemented
89#19099254C2212yescomplemented
90#19099253C2212yescomplemented
91#19099251C2212yescomplemented
92#19099243C2214yes—
93#19099242C2214yes—
94#19099238C2214yes—
95#19099237C2214yes—
96#19099232C2212yescomplemented
97#19099231C2212yescomplemented
98#19099231C2214yescomplemented
99#19099231C2214yescomplemented
100Q8×D316C2211yescharacteristic, complemented
101D4×Dic158C2211yescharacteristic, complemented
102#19099228C2214yes—
103#19099228C2211yescharacteristic, complemented
104Q8×C22⋊D79C2212yescomplemented
105Q8×C22⋊D79C2212yescomplemented
106#19099226C2214yes—
107#19099226C2212yescomplemented
108#19099226C2212yescomplemented
109#19099226C2214yescomplemented
110#19099225C2212yescomplemented
111#19099223C2214yescomplemented
112#19099222C2214yescomplemented
113#19099222C2212yescomplemented
114#19099221C2214yescomplemented
115#19099221C2214yescomplemented
116#19099221C2214yescomplemented
117#19099221C2212yescomplemented
118#19099219C2214yescomplemented
119#19099218C2212yescomplemented
120#19099218C2211yescharacteristic, complemented
121#19099217C2211yescharacteristic, complemented
122#19099216C2214yescomplemented
123#19099216C2212yescomplemented
124#19099216C2211yescharacteristic, complemented
125#19099215C2212yescomplemented
126#19099215C2214yescomplemented
127#19099215C2214yescomplemented
128#19099214C2212yescomplemented
129#19099214C2212yescomplemented
130#19099213C2212yescomplemented
131#19099213C2214yescomplemented
132#19099213C2214yescomplemented
133#19099213C2212yescomplemented
134#19099212C2212yescomplemented
135#19099211C2214yescomplemented
136#19099211C2214yescomplemented
137#19099211C2214yescomplemented
138#19099210C2214yes—
139#19099206C2214yes—
140#19099205C2214yes—
141#19099205C2214yes—
142#19099205C2214yes—
143#19099202C2214yes—
144#19099202C2214yes—
145#19099202C2214yes—
146#19099193C2212yes—
147#19099193C2212yescomplemented
148#19099191C2212yescomplemented
149#19099190C2212yes—
150#19099190C2212yescomplemented
151#19099188C2214yes—
152#19099188C2214yes—
153#19099185C2214yescomplemented
154#19099183C2214yescomplemented
155#19099181C2214yescomplemented
156#19099181C2214yescomplemented
157#19099179C2214yescomplemented
158#19099179C2214yescomplemented
159#19099177C2214yescomplemented
160#19099177C2214yescomplemented
161#19099177C2214yescomplemented
162#19099177C2214yescomplemented
163#19099177C2214yescomplemented
164#19099169C2212yescomplemented
165#19099168C2212yescomplemented
166#19099167C2212yescomplemented
167#19099163C2214yescomplemented
168#19099163C2214yescomplemented
169#19099161C2214yescomplemented
170#19099161C2214yescomplemented
171#19099159C2214yescomplemented
172#19099158C2214yescomplemented
173#19099157C2214yescomplemented
174#19099156C2214yescomplemented
175#19099149C2214yes—
176#19099147C2214yes—
177#19099143C2212yescomplemented
178#19099143C2212yescomplemented
179#19099143C2214yescomplemented
180#19099142C2214yescomplemented
181#19099142C2212yescomplemented
182#19099142C2212yescomplemented
183#19099142C2214yescomplemented
184#19099141C2212yescomplemented
185#19099140C2214yescomplemented
186#19099136C2212yescomplemented
187#19099136C2212yescomplemented
188#19099136C2212yescomplemented
189#19099136C2212yescomplemented
190#19099136C2214yescomplemented
191#19099135C2214yescomplemented
192#19099134C2212yescomplemented
193#19099129C2212yes—
194#19099129C2212yes—
195#19099120C2211yescharacteristic, complemented
196#19099119C2212yes—
197#19099119C2212yescomplemented
198#19099119C2211yescharacteristic, complemented
199#19099118C2211yescharacteristic
200#19099118C2211yescharacteristic
201#19099117C2212yes—
202#19099117C2211yescharacteristic
203#19099117C2212yes—
204#19099116C2212yescomplemented
205#19099116C2212yescomplemented
206#19099115C2212yescomplemented
207#19099115C2211yescharacteristic, complemented
208#19099115C2212yescomplemented
209#19099114C2211yescharacteristic
210#19099113C2211yescharacteristic
211#19099112C2212yes—
212#19099112C2214yescomplemented
213#19099112C2211yescharacteristic, complemented
214#19099111C2211yescharacteristic
215#19099110C2211yescharacteristic
216#19099110C2211yescharacteristic
217#19099110C2212yes—
218#19099110C2211yescharacteristic
219#19099110C2212yescomplemented
220#19099110C2212yescomplemented
221#19099110C2214yescomplemented
222#19099109C2212yes—
223#19099108C2211yescharacteristic
224#19099108C2211yescharacteristic
225#19099108C2212yes—
226#19099108C2211yescharacteristic, complemented
227#19099108C2212yescomplemented
228#19099108C2212yescomplemented
229C2×#14579160C2212yescomplemented
230C4⋊Q8×D79C2211yescharacteristic
231C4⋊Q8×D79C2211yescharacteristic, complemented
232C4⋊Q8×D79C2212yescomplemented
233C4⋊Q8×D79C2211yescharacteristic, complemented
234#127×D79C2211yescharacteristic
235#19099098C2211yescharacteristic
236#19099097C2211yescharacteristic, complemented
237#19099096C2212yes—
238#19099096C2214yescomplemented
239#19099096C2212yescomplemented
240#19099092C2211yescharacteristic
241#19099091C2214yescomplemented
242#19099091C2212yescomplemented
243#19099090C2212yescomplemented
244#125×D79C2212yescomplemented
245#124×D79C2212yes—
246#19099076C2211yescharacteristic
247#19099076C2212yes—
248#19099075C2212yes—
249#19099073C2211yescharacteristic
250#19099073C2212yes—
251#19099072C2212yes—
252#19099071C2212yes—
253#19099070C2212yes—
254C2×#14579141C2212yes—
255C2×#14579137C2212yes—
256C22⋊Q8×D79C2212yes—
257C22⋊Q8×D79C2212yes—
258C22⋊Q8×D79C2212yes—
259C22⋊Q8×D79C2212yes—
260#121×D79C2212yes—
261#121×D79C2211yescharacteristic
262#121×D79C2211yescharacteristic
263#19099044C2212yes—
264#19099044C2212yescomplemented
265#19099043C2212yes—
266#19099043C2212yescomplemented
267#19099043C2214yescomplemented
268#19099042C2214yescomplemented
269#19099035C2212yes—
270#19099035C2212yes—
271C4×#11929625C2211yescharacteristic, complemented
272#19099031C2212yes—
273C4×#11929623C2212yescomplemented
274C4×#11929623C2211yescharacteristic, complemented
275C4×Q8×D79C2212yescomplemented
276C4×Q8×D79C2212yescomplemented
277C4×D4×D79C2212yes—
278C4×D4×D79C2211yescharacteristic
279C4×D4×D79C2211yescharacteristic
280#117×D79C2212yes—
281C2×C42×D79C2211yescharacteristic
282#562×C79C2214yescomplemented
283#555×C79C2212yescomplemented
284#555×C79C2211yescharacteristic, complemented
285#554×C79C2211yescharacteristic, complemented
286#553×C79C2212yescomplemented
287#552×C79C2212yescomplemented
288D4×Q8×C79C2211yescharacteristic, complemented
289#548×C79C2212yescomplemented
290#547×C79C2211yescharacteristic, complemented
291#544×C79C2212yescomplemented
292#542×C79C2214yescomplemented
293#540×C79C2212yescomplemented
294#537×C79C2212yescomplemented
295#536×C79C2212yescomplemented
296#533×C79C2211yescharacteristic, complemented
297#532×C79C2211yescharacteristic
298#529×C79C2211yescharacteristic, complemented
299#14579209—48no—
300#14579208—48no—
301C2×#11929625C2311yescharacteristic
302C2×#11929625C2314yes—
303C2×#11929625C2312yes—
304C2×#11929625C2312yes—
305C2×#11929624C2312yes—
306C2×#11929624C2312yes—
307C2×#11929624C2312yes—
308C2×#11929624C2312yes—
309C2×#11929624C2314yes—
310C2×#11929624C2314yes—
311C2×#11929624C2312yes—
312C2×#11929624C2314yes—
313C2×#11929624C2314yes—
314C2×#11929623C2311yescharacteristic
315C2×#11929623C2312yes—
316C2×#11929623C2314yes—
317C2×#11929623C2314yes—
318C2×#11929623C2312yes—
319C2×#11929623C2314yes—
320C2×#11929623C2312yes—
321C2×#11929623C2312yes—
322C2×#11929623C2312yes—
323#41×D79—48no—
324C22×Dic158C2314yes—
325C22×Dic158C2312yes—
326C2×Q8×D79C2312yes—
327C2×Q8×D79C2312yes—
328C2×Q8×D79C2314yes—
329C2×Q8×D79C2312yes—
330C2×Q8×D79C2312yes—
331C2×Q8×D79C2312yes—
332C2×D4×D79C2311yescharacteristic
333C2×D4×D79C2311yescharacteristic
334C2×D4×D79C2312yes—
335C2×D4×D79C2312yes—
336C2×D4×D79C2312yes—
337C2×D4×D79C2312yes—
338C22×C4×D79C2311yescharacteristic
339C22×C4×D79C2311yescharacteristic
340C22×C4×D79C2311yescharacteristic
341C22×C4×D79C2312yes—
342C22×C4×D79C2312yes—
343#14579161C2311yescharacteristic
344#14579161C2312yes—
345#14579161C2311yescharacteristic
346#14579161C2311yescharacteristic
347#14579160C2314yes—
348#14579160C2312yes—
349#14579160C2314yes—
350#14579160C2314yes—
351#14579160C2314yes—
352#14579160C2314yes—
353#14579160C2314yes—
354#14579160C2312yes—
355#14579160C2312yes—
356#14579160C2312yes—
357#14579160C2312yes—
358#14579160C2311yescharacteristic
359#14579160C2311yescharacteristic
360#14579160C2311yescharacteristic
361#14579160C2311yescharacteristic
362#14579160C2312yes—
363#14579160C2312yes—
364#14579159C2312yes—
365#14579159C2314yes—
366#14579159C2314yes—
367#14579159C2314yes—
368#14579159C2312yes—
369#14579159C2311yescharacteristic
370#14579159C2312yes—
371#14579158C2311yescharacteristic
372#14579157C2314yes—
373#14579157C2314yes—
374#14579157C2311yescharacteristic
375#14579157C2312yes—
376#14579157C2312yes—
377#14579157C2311yescharacteristic
378#14579157C2311yescharacteristic
379#14579156C2314yes—
380#14579156C2312yes—
381#14579156C2314yes—
382#14579156C2314yes—
383#14579155C2314yes—
384#14579155C2314yes—
385#14579155C2312yes—
386#14579155C2314yes—
387#14579154C2314yes—
388#14579154C2314yes—
389#14579154C2314yes—
390#14579154C2312yes—
391#14579154C2314yes—
392#14579154C2314yes—
393#14579153C2312yes—
394#14579153C2312yes—
395#14579153C2311yescharacteristic
396#14579152C2314yes—
397#14579152C2312yes—
398#14579152C2312yes—
399#14579152C2312yes—
400#14579152C2312yes—
401#14579151C2314yes—
402#14579151C2314yes—
403#14579151C2314yes—
404#14579151C2314yes—
405#14579151C2314yes—
406#14579151C2312yes—
407#14579151C2314yes—
408#14579151C2312yes—
409#14579150C2314yes—
410#14579150C2312yes—
411#14579149C2312yes—
412#14579149C2314yes—
413#14579149C2311yescharacteristic
414#14579148C2314yes—
415#14579148C2312yes—
416#14579147C2312yes—
417#14579147C2314yes—
418#14579147C2314yes—
419#14579147C2314yes—
420#14579147C2314yes—
421#14579147C2314yes—
422#14579147C2314yes—
423#14579147C2314yes—
424#14579147C2314yes—
425#14579147C2314yes—
426#14579147C2314yes—
427#14579147C2314yes—
428#14579147C2314yes—
429#14579147C2312yes—
430#14579147C2312yes—
431#14579147C2312yes—
432#14579147C2312yes—
433#14579147C2312yes—
434#14579146C2314yes—
435#14579146C2314yes—
436#14579146C2314yes—
437#14579146C2314yes—
438#14579146C2314yes—
439#14579146C2314yes—
440#14579146C2314yes—
441#14579146C2314yes—
442#14579146C2314yes—
443#14579146C2314yes—
444#14579146C2312yes—
445#14579146C2312yes—
446#14579145C2314yes—
447#14579145C2314yes—
448#14579144C2314yes—
449#14579144C2314yes—
450#14579144C2312yes—
451#14579143C2314yes—
452#14579143C2314yes—
453#14579143C2314yes—
454#14579143C2314yes—
455#14579143C2314yes—
456#14579143C2314yes—
457#14579143C2314yes—
458#14579143C2314yes—
459#14579143C2312yes—
460#14579143C2312yes—
461#14579142C2314yes—
462#14579142C2314yes—
463#14579142C2314yes—
464#14579142C2314yes—
465#14579142C2314yes—
466#14579142C2314yes—
467#14579141C2312yes—
468#14579141C2312yes—
469#14579141C2312yes—
470#14579141C2314yes—
471#14579141C2314yes—
472#14579141C2314yes—
473#14579141C2312yes—
474#14579141C2314yes—
475#14579141C2314yes—
476#14579141C2311yescharacteristic
477#14579141C2312yes—
478#14579140C2311yescharacteristic
479#14579140C2312yes—
480#14579140C2312yes—
481#14579140C2314yes—
482#14579140C2312yes—
483#14579140C2314yes—
484#14579140C2314yes—
485#14579140C2312yes—
486#14579140C2312yes—
487#14579139C2314yes—
488#14579139C2314yes—
489#14579139C2314yes—
490#14579139C2314yes—
491#14579139C2314yes—
492#14579139C2314yes—
493#14579139C2312yes—
494#14579139C2314yes—
495#14579139C2314yes—
496#14579139C2314yes—
497#14579139C2312yes—
498#14579139C2314yes—
499#14579139C2314yes—
500#14579139C2314yes—
501#14579139C2314yes—
502#14579139C2312yes—
503#14579138C2314yes—
504#14579138C2314yes—
505#14579138C2314yes—
506#14579138C2314yes—
507#14579138C2314yes—
508#14579138C2314yes—
509#14579138C2314yes—
510#14579138C2314yes—
511#14579138C2314yes—
512#14579138C2314yes—
513#14579138C2312yes—
514#14579138C2314yes—
515#14579138C2314yes—
516#14579138C2314yes—
517#14579137C2312yes—
518#14579137C2312yes—
519#14579137C2312yes—
520#14579137C2314yes—
521#14579137C2314yes—
522#14579137C2314yes—
523#14579137C2312yes—
524#14579137C2314yes—
525#14579137C2314yes—
526#14579137C2314yes—
527#14579137C2311yescharacteristic
528#14579137C2312yes—
529#14579136C2312yes—
530#14579136C2314yes—
531#14579136C2312yes—
532#14579136C2314yes—
533#14579136C2314yes—
534#14579136C2312yes—
535#14579136C2312yes—
536#14579136C2311yescharacteristic
537#14579136C2311yescharacteristic
538#14579136C2311yescharacteristic
539#14579135C2314yes—
540#14579135C2311yescharacteristic
541#14579135C2312yes—
542#14579135C2312yes—
543#14579135C2312yes—
544#14579135C2311yescharacteristic
545#14579135C2311yescharacteristic
546#14579135C2312yes—
547#14579134C2314yes—
548#14579134C2314yes—
549#14579134C2312yes—
550#14579134C2314yes—
551#14579134C2314yes—
552#14579134C2314yes—
553#14579134C2314yes—
554#14579134C2314yes—
555#14579134C2314yes—
556#14579134C2314yes—
557#14579134C2312yes—
558#14579134C2312yes—
559#14579134C2312yes—
560#14579134C2312yes—
561#14579134C2312yes—
562#14579134C2312yes—
563#14579133C2312yes—
564#14579133C2314yes—
565#14579133C2314yes—
566#14579133C2314yes—
567#14579133C2314yes—
568#14579133C2312yes—
569#14579133C2314yes—
570#14579133C2314yes—
571#14579133C2314yes—
572#14579133C2312yes—
573#14579133C2312yes—
574#14579133C2312yes—
575#14579132C2314yes—
576#14579132C2314yes—
577#14579132C2312yes—
578#14579132C2314yes—
579#14579132C2314yes—
580#14579132C2312yes—
581#14579132C2312yes—
582#14579132C2312yes—
583#14579132C2311yescharacteristic
584#14579132C2311yescharacteristic
585#14579132C2311yescharacteristic
586#14579131C2314yes—
587#14579131C2314yes—
588#14579131C2312yes—
589#14579129C2314yes—
590#14579129C2314yes—
591#14579129C2312yes—
592Q8×Dic79C2311yescharacteristic
593Q8×Dic79C2312yes—
594Q8×Dic79C2312yes—
595C4×Dic158C2312yes—
596C4×Dic158C2314yes—
597C4×Dic158C2314yes—
598C4×Dic158C2314yes—
599C4×Dic158C2314yes—
600C4×Dic158C2312yes—
601C4×Dic158C2314yes—
602C4×Dic158C2311yescharacteristic
603C4×Dic158C2312yes—
604#14579126C2314yes—
605#14579126C2314yes—
606#14579126C2314yes—
607#14579126C2311yescharacteristic
608#14579126C2312yes—
609#14579126C2314yes—
610#14579126C2314yes—
611#14579126C2312yes—
612#14579126C2312yes—
613#14579126C2312yes—
614#14579126C2312yes—
615C4×D316C2314yes—
616C4×D316C2314yes—
617C4×D316C2314yes—
618C4×D316C2312yes—
619C4×D316C2312yes—
620C4×D316C2314yes—
621C4×D316C2312yes—
622C4×D316C2311yescharacteristic
623C4×D316C2311yescharacteristic
624C4×D316C2311yescharacteristic
625C4×D316C2312yes—
626D4×Dic79C2312yes—
627D4×Dic79C2314yes—
628D4×Dic79C2312yes—
629D4×Dic79C2312yes—
630D4×Dic79C2311yescharacteristic
631D4×Dic79C2312yes—
632D4×Dic79C2311yescharacteristic
633D4×Dic79C2311yescharacteristic
634#14579123C2314yes—
635#14579123C2312yes—
636#14579123C2314yes—
637#14579123C2312yes—
638#14579123C2312yes—
639#14579123C2312yes—
640#14579123C2312yes—
641#14579123C2311yescharacteristic
642#14579123C2312yes—
643#14579123C2311yescharacteristic
644#14579123C2311yescharacteristic
645C4×C22⋊D79C2314yes—
646C4×C22⋊D79C2314yes—
647C4×C22⋊D79C2314yes—
648C4×C22⋊D79C2314yes—
649C4×C22⋊D79C2314yes—
650C4×C22⋊D79C2314yes—
651C4×C22⋊D79C2314yes—
652C4×C22⋊D79C2314yes—
653C4×C22⋊D79C2312yes—
654C4×C22⋊D79C2312yes—
655C4×C22⋊D79C2312yes—
656C4×C22⋊D79C2312yes—
657C4×C22⋊D79C2312yes—
658C4×C22⋊D79C2312yes—
659C4×C22⋊D79C2312yes—
660(C22⋊D79)⋊C4C2314yes—
661(C22⋊D79)⋊C4C2314yes—
662(C22⋊D79)⋊C4C2314yes—
663(C22⋊D79)⋊C4C2314yes—
664(C22⋊D79)⋊C4C2314yes—
665(C22⋊D79)⋊C4C2312yes—
666(C22⋊D79)⋊C4C2314yes—
667(C22⋊D79)⋊C4C2314yes—
668(C22⋊D79)⋊C4C2314yes—
669(C22⋊D79)⋊C4C2314yes—
670(C22⋊D79)⋊C4C2312yes—
671(C22⋊D79)⋊C4C2314yes—
672(C22⋊D79)⋊C4C2312yes—
673(C22⋊D79)⋊C4C2312yes—
674(C22⋊D79)⋊C4C2312yes—
675(C22⋊D79)⋊C4C2312yes—
676(C22⋊D79)⋊C4C2312yes—
677(C22⋊D79)⋊C4C2312yes—
678(C22⋊D79)⋊C4C2312yes—
679(C22⋊D79)⋊C4C2312yes—
680(C22⋊D79)⋊C4C2312yes—
681#14579120C2312yes—
682#14579120C2312yes—
683#14579120C2312yes—
684#14579119C2312yes—
685#14579119C2311yescharacteristic
686#14579119C2311yescharacteristic
687#14579119C2312yes—
688#14579119C2312yes—
689#14579119C2312yes—
690#14579119C2314yes—
691#14579119C2312yes—
692#14579119C2312yes—
693#14579119C2312yes—
694#14579119C2312yes—
695#14579118C2312yes—
696#14579118C2314yes—
697#14579118C2312yes—
698#14579118C2314yes—
699#14579117C2314yes—
700#14579117C2312yes—
701#14579117C2312yes—
702#14579117C2312yes—
703#14579117C2314yes—
704C2×C4⋊Dic79C2312yes—
705C2×C4⋊Dic79C2314yes—
706C2×C4⋊Dic79C2312yes—
707C2×Dic79⋊C4C2314yes—
708C2×Dic79⋊C4C2314yes—
709C4⋊C4×D79C2314yes—
710C4⋊C4×D79C2312yes—
711C4⋊C4×D79C2312yes—
712C4⋊C4×D79C2314yes—
713C4⋊C4×D79C2312yes—
714C4⋊C4×D79C2314yes—
715C4⋊C4×D79C2314yes—
716C4⋊C4×D79C2311yescharacteristic
717C4⋊C4×D79C2312yes—
718C4⋊C4×D79C2311yescharacteristic
719C4⋊C4×D79C2312yes—
720C4⋊C4×D79C2312yes—
721C4⋊C4×D79C2314yes—
722C4⋊C4×D79C2312yes—
723C4⋊C4×D79C2312yes—
724C4⋊C4×D79C2312yes—
725C2×(C2×D79)⋊C4C2314yes—
726C2×(C2×D79)⋊C4C2314yes—
727C22⋊C4×D79C2312yes—
728C22⋊C4×D79C2312yes—
729C22⋊C4×D79C2314yes—
730C22⋊C4×D79C2314yes—
731C22⋊C4×D79C2314yes—
732C22⋊C4×D79C2312yes—
733C22⋊C4×D79C2312yes—
734C2×C4×Dic79C2311yescharacteristic
735C2×C4×Dic79C2311yescharacteristic
736C2×C4×Dic79C2311yescharacteristic
737C2×C4×Dic79C2312yes—
738C42×D79C2311yescharacteristic
739C42×D79C2311yescharacteristic
740C42×D79C2311yescharacteristic
741C42×D79C2311yescharacteristic
742C42×D79C2311yescharacteristic
743C42×D79C2311yescharacteristic
744C42×D79C2311yescharacteristic
745C42×D79C2311yescharacteristic
746C42×D79C2314yes—
747C42×D79C2312yes—
748C2×#41×C79C2312yes—
749C2×#41×C79C2312yes—
750C22×Q8×C79C2312yes—
751C4⋊Q8×C79C2312yes—
752C4⋊Q8×C79C2311yescharacteristic
753C4⋊Q8×C79C2314yes—
754C4⋊Q8×C79C2311yescharacteristic
755C4⋊Q8×C79C2311yescharacteristic
756#127×C79C2311yescharacteristic
757#126×C79C2312yes—
758#126×C79C2314yes—
759#125×C79C2314yes—
760#125×C79C2312yes—
761#125×C79C2312yes—
762#125×C79C2311yescharacteristic
763#124×C79C2314yes—
764#124×C79C2314yes—
765#124×C79C2312yes—
766#124×C79C2314yes—
767#124×C79C2311yescharacteristic
768#123×C79C2314yes—
769#123×C79C2314yes—
770#123×C79C2314yes—
771#123×C79C2314yes—
772#123×C79C2312yes—
773C22⋊Q8×C79C2311yescharacteristic
774C22⋊Q8×C79C2312yes—
775C22⋊Q8×C79C2314yes—
776C22⋊Q8×C79C2312yes—
777C22⋊Q8×C79C2312yes—
778C22⋊Q8×C79C2314yes—
779C22⋊Q8×C79C2312yes—
780C22⋊Q8×C79C2314yes—
781C22⋊Q8×C79C2314yes—
782C22⋊Q8×C79C2312yes—
783#121×C79C2314yes—
784#121×C79C2311yescharacteristic
785#121×C79C2314yes—
786#121×C79C2314yes—
787#121×C79C2312yes—
788#121×C79C2314yes—
789#121×C79C2312yes—
790#121×C79C2311yescharacteristic
791#121×C79C2311yescharacteristic
792#121×C79C2312yes—
793#121×C79C2312yes—
794C4×Q8×C79C2312yes—
795C4×Q8×C79C2312yes—
796C4×Q8×C79C2311yescharacteristic
797C4×D4×C79C2311yescharacteristic
798C4×D4×C79C2311yescharacteristic
799C4×D4×C79C2312yes—
800C4×D4×C79C2314yes—
801C4×D4×C79C2312yes—
802C4×D4×C79C2311yescharacteristic
803C4×D4×C79C2312yes—
804C4×D4×C79C2312yes—
805#117×C79C2312yes—
806#117×C79C2314yes—
807#117×C79C2312yes—
808#117×C79C2312yes—
809#117×C79C2312yes—
810C2×C4⋊C4×C79C2312yes—
811C2×C4⋊C4×C79C2312yes—
812C2×C42×C79C2311yescharacteristic
813C23×D79C2411yescharacteristic
814C23×D79C2412yes—
815C23×D79C2412yes—
816#11929625—24no—
817#11929625—44no—
818#11929625—44no—
819#11929625—48no—
820#11929624—28no—
821#11929624—28no—
822#11929624—28no—
823#11929624—48no—
824#11929624—48no—
825#11929624—48no—
826#11929624—48no—
827#11929624—44no—
828#11929624—44no—
829#11929623—24no—
830#11929623—44no—
831#11929623—48no—
832#11929623—44no—
833#11929623—44no—
834#11929623—48no—
835#11929623—48no—
836#11929623—44no—
837#11929623—44no—
838C2×Dic158—44no—
839C2×Dic158—48no—
840C2×Dic158C2412yes—
841C2×Dic158C2411yescharacteristic
842C2×Dic158C2414yes—
843C2×Dic158C2412yes—
844C2×Dic158C2412yes—
845C2×Dic158C2414yes—
846C2×Dic158C2412yes—
847C2×Dic158C2414yes—
848C2×Dic158C2414yes—
849C2×Dic158C2412yes—
850C2×Dic158C2412yes—
851C2×Dic158C2414yes—
852C2×Dic158C2412yes—
853Q8×D79—28no—
854Q8×D79—44no—
855Q8×D79—44no—
856Q8×D79—44no—
857Q8×D79—44no—
858Q8×D79—48no—
859C2×D316C2412yes—
860C2×D316C2412yes—
861C2×D316C2411yescharacteristic
862C2×D316C2412yes—
863C2×D316C2412yes—
864C2×D316C2411yescharacteristic
865C2×D316C2411yescharacteristic
866C2×D316C2414yes—
867C2×D316C2412yes—
868C2×D316C2414yes—
869C2×D316C2412yes—
870C2×C22⋊D79C2412yes—
871C2×C22⋊D79C2412yes—
872C2×C22⋊D79C2412yes—
873C2×C22⋊D79C2412yes—
874C2×C22⋊D79C2412yes—
875C2×C22⋊D79C2412yes—
876C2×C22⋊D79C2412yes—
877C2×C22⋊D79C2412yes—
878C2×C22⋊D79C2412yes—
879C2×C22⋊D79C2412yes—
880C2×C22⋊D79C2412yes—
881C2×C22⋊D79C2414yes—
882C2×C22⋊D79C2412yes—
883C2×C22⋊D79C2412yes—
884C2×C22⋊D79C2414yes—
885C2×C22⋊D79C2412yes—
886C2×C22⋊D79C2412yes—
887C2×C22⋊D79C2414yes—
888C2×C22⋊D79C2414yes—
889D4×D79—24no—
890D4×D79—24no—
891D4×D79—44no—
892D4×D79—44no—
893D4×D79—44no—
894D4×D79—44no—
895C22×Dic79C2412yes—
896C22×Dic79C2411yescharacteristic
897C22×Dic79C2412yes—
898C22×Dic79C2411yescharacteristic
899C22×Dic79C2411yescharacteristic
900C22×Dic79C2414yes—
901C22×Dic79C2414yes—
902C22×Dic79C2412yes—
903C22×Dic79C2412yes—
904C22×Dic79C2414yes—
905C2×C4×D79—24no—
906C2×C4×D79—24no—
907C2×C4×D79—44no—
908C2×C4×D79—44no—
909C2×C4×D79—42no—
910C2×C4×D79C2412yes—
911C2×C4×D79C2411yescharacteristic
912C2×C4×D79C2411yescharacteristic
913C2×C4×D79C2414yes—
914C2×C4×D79C2412yes—
915C2×C4×D79C2412yes—
916C2×C4×D79C2411yescharacteristic
917C2×C4×D79C2412yes—
918C2×C4×D79C2412yes—
919C2×C4×D79C2411yescharacteristic
920C2×C4×D79C2411yescharacteristic
921C2×C4×D79C2411yescharacteristic
922C2×C4×D79C2411yescharacteristic
923C2×C4×D79C2411yescharacteristic
924C2×C4×D79C2414yes—
925C2×C4×D79C2414yes—
926C2×C4×D79C2414yes—
927C2×C4×D79C2414yes—
928C2×C4×D79C2414yes—
929C2×C4×D79C2412yes—
930C2×C4×D79C2412yes—
931C2×C4×D79C2412yes—
932C2×C4×D79C2412yes—
933C2×C4×D79C2414yes—
934C2×C4×D79C2414yes—
935C2×C4×D79C2411yescharacteristic
936C2×C4×D79C2411yescharacteristic
937C2×C4×D79C2411yescharacteristic
938C2×C4×D79C2411yescharacteristic
939C4⋊Dic79C2411yescharacteristic
940C4⋊Dic79C2411yescharacteristic
941C4⋊Dic79C2412yes—
942C4⋊Dic79C2412yes—
943C4⋊Dic79C2412yes—
944C4⋊Dic79C2414yes—
945C4⋊Dic79C2411yescharacteristic
946C4⋊Dic79C2414yes—
947C4⋊Dic79C2412yes—
948C4⋊Dic79C2412yes—
949C4⋊Dic79C2414yes—
950C4⋊Dic79C2412yes—
951C4⋊Dic79C2414yes—
952C4⋊Dic79C2414yes—
953C4⋊Dic79C2414yes—
954C4⋊Dic79C2411yescharacteristic
955C4⋊Dic79C2412yes—
956Dic79⋊C4C2412yes—
957Dic79⋊C4C2412yes—
958Dic79⋊C4C2414yes—
959Dic79⋊C4C2414yes—
960Dic79⋊C4C2412yes—
961Dic79⋊C4C2414yes—
962Dic79⋊C4C2414yes—
963Dic79⋊C4C2414yes—
964Dic79⋊C4C2412yes—
965Dic79⋊C4C2412yes—
966Dic79⋊C4C2414yes—
967Dic79⋊C4C2414yes—
968Dic79⋊C4C2414yes—
969Dic79⋊C4C2414yes—
970Dic79⋊C4C2414yes—
971Dic79⋊C4C2414yes—
972Dic79⋊C4C2414yes—
973Dic79⋊C4C2414yes—
974Dic79⋊C4C2414yes—
975Dic79⋊C4C2414yes—
976Dic79⋊C4C2414yes—
977Dic79⋊C4C2412yes—
978Dic79⋊C4C2412yes—
979Dic79⋊C4C2412yes—
980Dic79⋊C4C2412yes—
981Dic79⋊C4C2412yes—
982Dic79⋊C4C2412yes—
983Dic79⋊C4C2412yes—
984Dic79⋊C4C2412yes—
985Dic79⋊C4C2412yes—
986C22⋊Dic79C2414yes—
987C22⋊Dic79C2412yes—
988C22⋊Dic79C2412yes—
989C22⋊Dic79C2414yes—
990C22⋊Dic79C2414yes—
991C22⋊Dic79C2412yes—
992C22⋊Dic79C2412yes—
993C22⋊Dic79C2412yes—
994C22⋊Dic79C2414yes—
995C22⋊Dic79C2412yes—
996C22⋊Dic79C2412yes—
997C22⋊Dic79C2414yes—
998C22⋊Dic79C2414yes—
999(C2×D79)⋊C4C2412yes—
1000(C2×D79)⋊C4C2412yes—
1001(C2×D79)⋊C4C2414yes—
1002(C2×D79)⋊C4C2414yes—
1003(C2×D79)⋊C4C2412yes—
1004(C2×D79)⋊C4C2412yes—
1005(C2×D79)⋊C4C2412yes—
1006(C2×D79)⋊C4C2412yes—
1007(C2×D79)⋊C4C2412yes—
1008(C2×D79)⋊C4C2412yes—
1009(C2×D79)⋊C4C2412yes—
1010(C2×D79)⋊C4C2412yes—
1011(C2×D79)⋊C4C2414yes—
1012(C2×D79)⋊C4C2414yes—
1013(C2×D79)⋊C4C2414yes—
1014(C2×D79)⋊C4C2414yes—
1015(C2×D79)⋊C4C2412yes—
1016(C2×D79)⋊C4C2412yes—
1017(C2×D79)⋊C4C2414yes—
1018(C2×D79)⋊C4C2412yes—
1019(C2×D79)⋊C4C2412yes—
1020(C2×D79)⋊C4C2412yes—
1021(C2×D79)⋊C4C2414yes—
1022(C2×D79)⋊C4C2414yes—
1023(C2×D79)⋊C4C2414yes—
1024(C2×D79)⋊C4C2412yes—
1025(C2×D79)⋊C4C2414yes—
1026(C2×D79)⋊C4C2414yes—
1027(C2×D79)⋊C4C2412yes—
1028(C2×D79)⋊C4C2412yes—
1029C4×Dic79C2411yescharacteristic
1030C4×Dic79C2411yescharacteristic
1031C4×Dic79C2411yescharacteristic
1032C4×Dic79C2411yescharacteristic
1033C4×Dic79C2411yescharacteristic
1034C4×Dic79C2411yescharacteristic
1035C4×Dic79C2411yescharacteristic
1036C4×Dic79C2411yescharacteristic
1037C4×Dic79C2411yescharacteristic
1038C4×Dic79C2411yescharacteristic
1039C4×Dic79C2411yescharacteristic
1040C4×Dic79C2411yescharacteristic
1041C4×Dic79C2412yes—
1042C4×Dic79C2414yes—
1043C4×Dic79C2414yes—
1044C4×Dic79C2414yes—
1045C4×Dic79C2412yes—
1046C4×Dic79C2412yes—
1047C4×Dic79C2412yes—
1048C4×Dic79C2412yes—
1049C4×Dic79C2414yes—
1050C4×Dic79C2414yes—
1051C4×Dic79C2414yes—
1052#41×C79—44no—
1053#41×C79—44no—
1054C2×Q8×C79—44no—
1055C2×Q8×C79C2411yescharacteristic
1056C2×Q8×C79C2412yes—
1057C2×Q8×C79C2414yes—
1058C2×Q8×C79C2412yes—
1059C2×Q8×C79C2412yes—
1060C2×D4×C79C2411yescharacteristic
1061C2×D4×C79C2411yescharacteristic
1062C2×D4×C79C2411yescharacteristic
1063C2×D4×C79C2414yes—
1064C2×D4×C79C2412yes—
1065C2×D4×C79C2414yes—
1066C2×D4×C79C2412yes—
1067C2×D4×C79C2412yes—
1068C2×D4×C79C2412yes—
1069C2×D4×C79C2412yes—
1070C22×C4×C79C2412yes—
1071C22×C4×C79C2411yescharacteristic
1072C22×C4×C79C2412yes—
1073C22×C4×C79C2412yes—
1074C22×C4×C79C2411yescharacteristic
1075C22×C4×C79C2414yes—
1076C22×C4×C79C2414yes—
1077C22×C4×C79C2414yes—
1078C22×C4×C79C2411yescharacteristic
1079C4⋊C4×C79C2411yescharacteristic
1080C4⋊C4×C79C2411yescharacteristic
1081C4⋊C4×C79C2412yes—
1082C4⋊C4×C79C2412yes—
1083C4⋊C4×C79C2414yes—
1084C4⋊C4×C79C2414yes—
1085C4⋊C4×C79C2412yes—
1086C4⋊C4×C79C2411yescharacteristic
1087C4⋊C4×C79C2411yescharacteristic
1088C4⋊C4×C79C2412yes—
1089C4⋊C4×C79C2414yes—
1090C4⋊C4×C79C2412yes—
1091C4⋊C4×C79C2412yes—
1092C4⋊C4×C79C2412yes—
1093C4⋊C4×C79C2414yes—
1094C4⋊C4×C79C2414yes—
1095C4⋊C4×C79C2414yes—
1096C4⋊C4×C79C2412yes—
1097C4⋊C4×C79C2412yes—
1098C22⋊C4×C79C2412yes—
1099C22⋊C4×C79C2412yes—
1100C22⋊C4×C79C2414yes—
1101C22⋊C4×C79C2412yes—
1102C22⋊C4×C79C2414yes—
1103C22⋊C4×C79C2414yes—
1104C22⋊C4×C79C2414yes—
1105C22⋊C4×C79C2412yes—
1106C22⋊C4×C79C2412yes—
1107C22⋊C4×C79C2414yes—
1108C22⋊C4×C79C2412yes—
1109C22⋊C4×C79C2414yes—
1110C22⋊C4×C79C2412yes—
1111C22⋊C4×C79C2412yes—
1112C22⋊C4×C79C2412yes—
1113C42×C79C2411yescharacteristic
1114C42×C79C2411yescharacteristic
1115C42×C79C2411yescharacteristic
1116C42×C79C2411yescharacteristic
1117C42×C79C2414yes—
1118C42×C79C2414yes—
1119C42×C79C2412yes—
1120C23×C79C2512yes—
1121C23×C79C2512yes—
1122C23×C79C2511yescharacteristic
1123C23×C79C2512yes—
1124C22×D79—22no—
1125C22×D79—22no—
1126C22×D79—24no—
1127C22×D79—24no—
1128C22×D79—41no—
1129C22×D79—42no—
1130C22×D79—42no—
1131C22×D79—42no—
1132C22×D79—42no—
1133C22×D79C2512yes—
1134C22×D79C2512yes—
1135C22×D79C2512yes—
1136C22×D79C2511yescharacteristic
1137C22×D79C2511yescharacteristic
1138Q8×C79—24no—
1139Q8×C79—22no—
1140Q8×C79—44no—
1141Q8×C79—42no—
1142Q8×C79—42no—
1143D4×C79—22no—
1144D4×C79—22no—
1145D4×C79—22no—
1146D4×C79—42no—
1147D4×C79—42no—
1148D4×C79—42no—
1149D4×C79—42no—
1150D4×C79—44no—
1151D4×C79—42no—
1152D4×C79—44no—
1153C2×C4×C79—22no—
1154C2×C4×C79—24no—
1155C2×C4×C79—24no—
1156C2×C4×C79—22no—
1157C2×C4×C79—24no—
1158C2×C4×C79—41no—
1159C2×C4×C79—44no—
1160C2×C4×C79—44no—
1161C2×C4×C79—44no—
1162C2×C4×C79C2511yescharacteristic
1163C2×C4×C79C2512yes—
1164C2×C4×C79C2511yescharacteristic
1165C2×C4×C79C2514yes—
1166C2×C4×C79C2512yes—
1167C2×C4×C79C2511yescharacteristic
1168C2×C4×C79C2511yescharacteristic
1169C2×C4×C79C2512yes—
1170C2×C4×C79C2512yes—
1171C2×C4×C79C2514yes—
1172C2×C4×C79C2512yes—
1173C2×C4×C79C2511yescharacteristic
1174C2×C4×C79C2511yescharacteristic
1175C22⋊D79—24no—
1176C22⋊D79—24no—
1177C22⋊D79—24no—
1178C22⋊D79—24no—
1179C22⋊D79—24no—
1180C22⋊D79—24no—
1181C22⋊D79—24no—
1182C22⋊D79—24no—
1183C22⋊D79—24no—
1184C22⋊D79—24no—
1185C22⋊D79—24no—
1186C22⋊D79—42no—
1187C22⋊D79—42no—
1188C22⋊D79—44no—
1189C22⋊D79—42no—
1190C22⋊D79—42no—
1191C22⋊D79—44no—
1192C22⋊D79—44no—
1193C22⋊D79—44no—
1194C2×Dic79—22no—
1195C2×Dic79—24no—
1196C2×Dic79—22no—
1197C2×Dic79—22no—
1198C2×Dic79—24no—
1199C2×Dic79—42no—
1200C2×Dic79—42no—
1201C2×Dic79—44no—
1202C2×Dic79—44no—
1203C2×Dic79—44no—
1204C2×Dic79C2512yes—
1205C2×Dic79C2511yescharacteristic
1206C2×Dic79C2514yes—
1207C2×Dic79C2511yescharacteristic
1208C2×Dic79C2511yescharacteristic
1209C2×Dic79C2512yes—
1210C2×Dic79C2512yes—
1211C2×Dic79C2512yes—
1212C2×Dic79C2514yes—
1213C2×Dic79C2512yes—
1214C2×Dic79C2511yescharacteristic
1215C2×Dic79C2511yescharacteristic
1216C2×Dic79C2511yescharacteristic
1217D316—24no—
1218D316—24no—
1219D316—24no—
1220D316—24no—
1221D316—22no—
1222D316—22no—
1223D316—22no—
1224D316—42no—
1225D316—42no—
1226D316—44no—
1227D316—44no—
1228C4×D79—22no—
1229C4×D79—28no—
1230C4×D79—22no—
1231C4×D79—22no—
1232C4×D79—24no—
1233C4×D79—24no—
1234C4×D79—22no—
1235C4×D79—24no—
1236C4×D79—22no—
1237C4×D79—24no—
1238C4×D79—22no—
1239C4×D79—22no—
1240C4×D79—22no—
1241C4×D79—24no—
1242C4×D79—41no—
1243C4×D79—41no—
1244C4×D79—42no—
1245C4×D79—42no—
1246C4×D79—42no—
1247C4×D79—42no—
1248C4×D79—44no—
1249C4×D79—44no—
1250C4×D79—44no—
1251C4×D79—44no—
1252C4×D79—44no—
1253C4×D79—44no—
1254C4×D79—44no—
1255C4×D79H(5,𝔽2)14yes—
1256C4×D792−1+414yescomplemented
1257Dic158—24no—
1258Dic158—22no—
1259Dic158—28no—
1260Dic158—24no—
1261Dic158—24no—
1262Dic158—24no—
1263Dic158—28no—
1264Dic158—44no—
1265Dic158—44no—
1266Dic158—42no—
1267Dic158—42no—
1268Dic158—44no—
1269Dic158—42no—
1270C22×C79—22no—
1271C22×C79—22no—
1272C22×C79—22no—
1273C22×C79—21no—
1274C22×C79—22no—
1275C22×C79—22no—
1276C22×C79—22no—
1277C22×C79—21no—
1278C22×C79—22no—
1279C22×C79—22no—
1280C22×C79—22no—
1281C22×C79—21no—
1282C22×C79C2611yescharacteristic
1283C2×D79—21no—
1284C2×D79—21no—
1285C2×D79—21no—
1286C2×D79—21no—
1287C2×D79—22no—
1288C2×D79—22no—
1289C2×D79—22no—
1290C2×D79—22no—
1291C2×D79—22no—
1292C2×D79—22no—
1293C2×D79—22no—
1294C2×D79—22no—
1295C2×D79—22no—
1296C2×D79—44no—
1297C2×D79—84no—
1298C2×D79—84no—
1299C2×D79C2×H(5,𝔽2)12yes—
1300C2×D79C2×2−1+412yes—
1301C4×C79—22no—
1302C4×C79—21no—
1303C4×C79—22no—
1304C4×C79—24no—
1305C4×C79—22no—
1306C4×C79—22no—
1307C4×C79—21no—
1308C4×C79—22no—
1309C4×C79—21no—
1310C4×C79—24no—
1311C4×C79—21no—
1312C4×C79C2×H(5,𝔽2)12yes—
1313C4×C79C2×2−1+412yes—
1314Dic79—22no—
1315Dic79—22no—
1316Dic79—22no—
1317Dic79—24no—
1318Dic79—21no—
1319Dic79—22no—
1320Dic79—21no—
1321Dic79—24no—
1322Dic79—21no—
1323Dic79—22no—
1324Dic79C2×H(5,𝔽2)12yes—
1325Dic79C2×2−1+412yes—
1326Dic79#58512yes—
1327#62835—791nomaximal, Sylow
1328C2×C79—41no—
1329C2×C79—42no—
1330C2×C79—42no—
1331C2×C79—42no—
1332C2×C79C22×H(5,𝔽2)11yescharacteristic
1333C2×C79C22×2−1+411yescharacteristic
1334C2×C79C2×#58511yescharacteristic
1335D79—22no—
1336D79—22no—
1337D79—42no—
1338D79—42no—
1339D79—42no—
1340#3561—794no—
1341#3559—792no—
1342#3559—792no—
1343#3554—794no—
1344#3550—792no—
1345#3548—792no—
1346#3547—791no—
1347#3547—791no—
1348#3547—791no—
1349#3547D7911yescharacteristic, complemented
1350#3536—794no—
1351#3522—794no—
1352#3520—792no—
1353#3520—792no—
1354#3511—791no—
1355#3511—792no—
1356#3511—791no—
1357#3511—792no—
1358#3508—792no—
1359#3507—792no—
1360#3506—791no—
1361#3506—791no—
1362#3503—792no—
1363#3501—791no—
1364#3501—791no—
1365#3499—791no—
1366#3499—791no—
1367#3497—792no—
1368#3494—792no—
1369#3494—792no—
1370#3489—792no—
1371#3489—792no—
1372#3444—791no—
1373C2×#533—791no—
1374C2×#532—791no—
1375C79#6283511yescharacteristic, complemented, Sylow
1376C2×2−1+4—792no—
1377C2×2−1+4—792no—
1378C22×#41—792no—
1379#563—794no—
1380#563—794no—
1381#562—794no—
1382#562—794no—
1383#562—794no—
1384#562—794no—
1385#562—794no—
1386#562C2×D7914yescomplemented
1387#559—794no—
1388#559—794no—
1389#559—794no—
1390#559—794no—
1391Q82—794no—
1392#557—794no—
1393#556—794no—
1394#556—792no—
1395#556—792no—
1396#556—792no—
1397#556—794no—
1398#556—792no—
1399#555—791no—
1400#555—792no—
1401#555—792no—
1402#555—791no—
1403#555—791no—
1404#555—792no—
1405#555C2×D7912yescomplemented
1406#555C2×D7911yescharacteristic, complemented
1407#554—791no—
1408#554—792no—
1409#554—794no—
1410#554—792no—
1411#554—794no—
1412#554—794no—
1413#554—794no—
1414#554—792no—
1415#554—794no—
1416#554—791no—
1417#554—791no—
1418#554—792no—
1419#554—792no—
1420#554—792no—
1421#554C2×D7911yescharacteristic, complemented
1422#553—792no—
1423#553—792no—
1424#553—792no—
1425#553—792no—
1426#553—792no—
1427#553—792no—
1428#553—792no—
1429#553—792no—
1430#553—792no—
1431#553—792no—
1432#553—792no—
1433#553C2×D7912yescomplemented
1434#552—792no—
1435#552—792no—
1436#552—792no—
1437#552C2×D7912yescomplemented
1438#551—794no—
1439#551—794no—
1440#551—794no—
1441#551—794no—
1442#550—792no—
1443#550—792no—
1444#550—794no—
1445#550—794no—
1446D4×Q8—792no—
1447D4×Q8—792no—
1448D4×Q8—794no—
1449D4×Q8—791no—
1450D4×Q8—794no—
1451D4×Q8—792no—
1452D4×Q8—794no—
1453D4×Q8—792no—
1454D4×Q8—791no—
1455D4×Q8—791no—
1456D4×Q8C2×D7911yescharacteristic, complemented
1457#548—794no—
1458#548—794no—
1459#548—792no—
1460#548—794no—
1461#548—794no—
1462#548—794no—
1463#548—792no—
1464#548—794no—
1465#548—792no—
1466#548C2×D7912yescomplemented
1467#547—792no—
1468#547—794no—
1469#547—792no—
1470#547—791no—
1471#547—794no—
1472#547—794no—
1473#547—794no—
1474#547—794no—
1475#547—792no—
1476#547—794no—
1477#547—794no—
1478#547—794no—
1479#547—792no—
1480#547—792no—
1481#547—791no—
1482#547—792no—
1483#547—791no—
1484#547—792no—
1485#547—792no—
1486#547C2×D7911yescharacteristic, complemented
1487#546—794no—
1488#546—794no—
1489#546—794no—
1490#546—794no—
1491#546—794no—
1492#546—794no—
1493#546—794no—
1494#546—794no—
1495#544—792no—
1496#544—792no—
1497#544—792no—
1498#544—792no—
1499#544—792no—
1500#544C2×D7912yescomplemented
1501#543—794no—
1502#543—794no—
1503#542—794no—
1504#542—794no—
1505#542—794no—
1506#542—794no—
1507#542—794no—
1508#542—794no—
1509#542—794no—
1510#542—794no—
1511#542—794no—
1512#542—794no—
1513#542—794no—
1514#542C2×D7914yescomplemented
1515#540—792no—
1516#540—792no—
1517#540—794no—
1518#540—794no—
1519#540—792no—
1520#540C2×D7912yescomplemented
1521#539—794no—
1522#539—794no—
1523#539—794no—
1524#539—794no—
1525#539—794no—
1526#539—794no—
1527#538—794no—
1528#538—794no—
1529#537—792no—
1530#537—792no—
1531#537—792no—
1532#537—794no—
1533#537—794no—
1534#537—792no—
1535#537—792no—
1536#537—794no—
1537#537—794no—
1538#537C2×D7912yescomplemented
1539#536—792no—
1540#536—794no—
1541#536—792no—
1542#536—792no—
1543#536—792no—
1544#536—792no—
1545#536—794no—
1546#536C2×D7912yescomplemented
1547#535—792no—
1548#535—792no—
1549#533—791no—
1550#533—791no—
1551#533—792no—
1552#533—791no—
1553#533—792no—
1554#533—792no—
1555#533—792no—
1556#533—791no—
1557#533—792no—
1558#533—792no—
1559#533—791no—
1560#533—792no—
1561#533—792no—
1562#533—791no—
1563#533C2×D7911yescharacteristic, complemented
1564#532—792no—
1565#532—791no—
1566#532—791no—
1567#532—792no—
1568#532—791no—
1569#532—794no—
1570#532—791no—
1571#532—791no—
1572#532—792no—
1573#532—791no—
1574#532—792no—
1575#532—792no—
1576#532—792no—
1577#532—791no—
1578#532—791no—
1579#532—791no—
1580#532—794no—
1581#532—792no—
1582#532—792no—
1583#532—791no—
1584#532C2×D7911yescharacteristic
1585C2×C4⋊Q8—791no—
1586C2×C4⋊Q8—791no—
1587C2×C4⋊Q8—791no—
1588C2×C4⋊Q8—792no—
1589C2×C4⋊Q8—792no—
1590C2×#127—791no—
1591#529—792no—
1592#529—792no—
1593#529—794no—
1594#529—791no—
1595#529—791no—
1596#529—792no—
1597#529—792no—
1598#529—794no—
1599#529—791no—
1600#529C2×D7911yescharacteristic, complemented
1601C2×#125—792no—
1602C2×#124—792no—
1603#525—792no—
1604#525—792no—
1605#525—791no—
1606#525—792no—
1607#525—791no—
1608#525—792no—
1609#525—792no—
1610#525—792no—
1611C2×C22⋊Q8—792no—
1612C2×C22⋊Q8—792no—
1613C2×C22⋊Q8—792no—
1614C2×C22⋊Q8—792no—
1615C2×C22⋊Q8—792no—
1616C2×C22⋊Q8—792no—
1617C2×#121—791no—
1618C2×#121—791no—
1619C2×#121—792no—
1620#520—794no—
1621#520—792no—
1622#520—792no—
1623#520—794no—
1624#520—792no—
1625#520—792no—
1626#518—792no—
1627#518—792no—
1628C4×#41—791no—
1629C4×#41—791no—
1630C4×#41—792no—
1631C4×#41—792no—
1632C2×C4×Q8—792no—
1633C2×C4×Q8—792no—
1634C2×C4×D4—791no—
1635C2×C4×D4—791no—
1636C2×C4×D4—792no—
1637C2×#117—792no—
1638C22×C42—791no—
16392−1+4—3168no—
16402−1+4—3168no—
1641C2×#41—3168no—
1642C2×#41—792no—
1643C2×#41—792no—
1644C2×#41—794no—
1645C2×#41—791no—
1646C2×#41—792no—
1647C2×#41—794no—
1648C2×#41—792no—
1649C2×#41—792no—
1650C2×#41—792no—
1651C2×#41—792no—
1652C2×#41—794no—
1653C2×#41—794no—
1654C2×#41—791no—
1655C2×#41—794no—
1656C2×#41—792no—
1657C2×#41—792no—
1658C2×#41—794no—
1659C2×#41—794no—
1660C2×#41—794no—
1661C2×#41—792no—
1662C2×#41—792no—
1663C2×#41—792no—
1664C2×#41C22×D7912yes—
1665C2×#41C22×D7912yes—
1666C22×Q8—792no—
1667C22×Q8—792no—
1668C22×Q8—792no—
1669C22×Q8—792no—
1670C22×Q8—794no—
1671C22×Q8—792no—
1672C22×Q8—792no—
1673C22×Q8—794no—
1674C22×Q8C22×D7912yes—
1675C22×D4—792no—
1676C22×D4—792no—
1677C22×D4—792no—
1678C22×D4—792no—
1679C22×D4—791no—
1680C22×D4—791no—
1681C23×C4—792no—
1682C23×C4—792no—
1683C23×C4—791no—
1684C23×C4—791no—
1685C23×C4—791no—
1686C4⋊Q8—792no—
1687C4⋊Q8—792no—
1688C4⋊Q8—792no—
1689C4⋊Q8—794no—
1690C4⋊Q8—791no—
1691C4⋊Q8—794no—
1692C4⋊Q8—794no—
1693C4⋊Q8—791no—
1694C4⋊Q8—792no—
1695C4⋊Q8—791no—
1696C4⋊Q8—792no—
1697C4⋊Q8—792no—
1698C4⋊Q8—792no—
1699C4⋊Q8—792no—
1700C4⋊Q8—794no—
1701C4⋊Q8—794no—
1702C4⋊Q8—794no—
1703C4⋊Q8—792no—
1704C4⋊Q8—792no—
1705C4⋊Q8—791no—
1706C4⋊Q8—791no—
1707C4⋊Q8—794no—
1708C4⋊Q8—794no—
1709C4⋊Q8—794no—
1710C4⋊Q8—791no—
1711C4⋊Q8—791no—
1712C4⋊Q8—791no—
1713C4⋊Q8—792no—
1714C4⋊Q8C22×D7911yescharacteristic
1715C4⋊Q8C22×D7911yescharacteristic
1716C4⋊Q8C22×D7911yescharacteristic
1717C4⋊Q8C22×D7912yes—
1718C4⋊Q8C22×D7914yes—
1719#127—791no—
1720#127—791no—
1721#127—792no—
1722#127—792no—
1723#127—791no—
1724#127—794no—
1725#127—794no—
1726#127—791no—
1727#127C22×D7911yescharacteristic
1728#126—792no—
1729#126—794no—
1730#126—794no—
1731#126—794no—
1732#126—792no—
1733#126—794no—
1734#126—794no—
1735#126—794no—
1736#126—794no—
1737#126—794no—
1738#126—792no—
1739#126—794no—
1740#126—794no—
1741#126—794no—
1742#126C22×D7912yes—
1743#126C22×D7914yes—
1744#125—794no—
1745#125—792no—
1746#125—792no—
1747#125—794no—
1748#125—792no—
1749#125—792no—
1750#125—794no—
1751#125—794no—
1752#125—792no—
1753#125—792no—
1754#125—794no—
1755#125—794no—
1756#125—794no—
1757#125—792no—
1758#125—791no—
1759#125—792no—
1760#125C22×D7912yes—
1761#125C22×D7911yescharacteristic
1762#125C22×D7912yes—
1763#125C22×D7914yes—
1764#124—792no—
1765#124—794no—
1766#124—792no—
1767#124—794no—
1768#124—792no—
1769#124—792no—
1770#124—792no—
1771#124—792no—
1772#124—792no—
1773#124—792no—
1774#124—794no—
1775#124—794no—
1776#124—794no—
1777#124—794no—
1778#124—794no—
1779#124—794no—
1780#124—794no—
1781#124—794no—
1782#124—794no—
1783#124—794no—
1784#124—794no—
1785#124—794no—
1786#124—792no—
1787#124—791no—
1788#124—794no—
1789#124C22×D7912yes—
1790#124C22×D7911yescharacteristic
1791#124C22×D7914yes—
1792#124C22×D7914yes—
1793#124C22×D7914yes—
1794#123—794no—
1795#123—794no—
1796#123—794no—
1797#123—794no—
1798#123—794no—
1799#123—794no—
1800#123—792no—
1801#123—794no—
1802#123—794no—
1803#123—792no—
1804#123—792no—
1805#123—794no—
1806#123—794no—
1807#123—794no—
1808#123—794no—
1809#123—794no—
1810#123—794no—
1811#123—794no—
1812#123—794no—
1813#123—794no—
1814#123—794no—
1815#123—792no—
1816#123—792no—
1817#123—794no—
1818#123—794no—
1819#123—794no—
1820#123—794no—
1821#123—794no—
1822#123—794no—
1823#123—794no—
1824#123—794no—
1825#123—794no—
1826#123—794no—
1827#123C22×D7912yes—
1828#123C22×D7914yes—
1829#123C22×D7914yes—
1830#123C22×D7914yes—
1831#123C22×D7914yes—
1832C22⋊Q8—791no—
1833C22⋊Q8—792no—
1834C22⋊Q8—792no—
1835C22⋊Q8—792no—
1836C22⋊Q8—792no—
1837C22⋊Q8—794no—
1838C22⋊Q8—794no—
1839C22⋊Q8—792no—
1840C22⋊Q8—794no—
1841C22⋊Q8—794no—
1842C22⋊Q8—794no—
1843C22⋊Q8—794no—
1844C22⋊Q8—792no—
1845C22⋊Q8—792no—
1846C22⋊Q8—792no—
1847C22⋊Q8—792no—
1848C22⋊Q8—791no—
1849C22⋊Q8—792no—
1850C22⋊Q8—794no—
1851C22⋊Q8—794no—
1852C22⋊Q8—794no—
1853C22⋊Q8—791no—
1854C22⋊Q8—792no—
1855C22⋊Q8—792no—
1856C22⋊Q8—794no—
1857C22⋊Q8—794no—
1858C22⋊Q8—792no—
1859C22⋊Q8—792no—
1860C22⋊Q8—794no—
1861C22⋊Q8—794no—
1862C22⋊Q8—794no—
1863C22⋊Q8—794no—
1864C22⋊Q8—792no—
1865C22⋊Q8—792no—
1866C22⋊Q8—792no—
1867C22⋊Q8—792no—
1868C22⋊Q8—794no—
1869C22⋊Q8—794no—
1870C22⋊Q8—794no—
1871C22⋊Q8—794no—
1872C22⋊Q8—794no—
1873C22⋊Q8—794no—
1874C22⋊Q8—794no—
1875C22⋊Q8—794no—
1876C22⋊Q8—794no—
1877C22⋊Q8—794no—
1878C22⋊Q8—794no—
1879C22⋊Q8—794no—
1880C22⋊Q8—794no—
1881C22⋊Q8—794no—
1882C22⋊Q8—794no—
1883C22⋊Q8—794no—
1884C22⋊Q8—792no—
1885C22⋊Q8—794no—
1886C22⋊Q8—794no—
1887C22⋊Q8—794no—
1888C22⋊Q8—794no—
1889C22⋊Q8—794no—
1890C22⋊Q8—794no—
1891C22⋊Q8—794no—
1892C22⋊Q8—794no—
1893C22⋊Q8—794no—
1894C22⋊Q8C22×D7912yes—
1895C22⋊Q8C22×D7912yes—
1896C22⋊Q8C22×D7912yes—
1897C22⋊Q8C22×D7912yes—
1898C22⋊Q8C22×D7911yescharacteristic
1899C22⋊Q8C22×D7912yes—
1900C22⋊Q8C22×D7914yes—
1901C22⋊Q8C22×D7914yes—
1902C22⋊Q8C22×D7914yes—
1903C22⋊Q8C22×D7914yes—
1904#121—792no—
1905#121—792no—
1906#121—792no—
1907#121—792no—
1908#121—792no—
1909#121—791no—
1910#121—791no—
1911#121—791no—
1912#121—792no—
1913#121—792no—
1914#121—792no—
1915#121—792no—
1916#121—794no—
1917#121—794no—
1918#121—794no—
1919#121—794no—
1920#121—794no—
1921#121—794no—
1922#121—794no—
1923#121—794no—
1924#121—794no—
1925#121—794no—
1926#121—794no—
1927#121—791no—
1928#121—791no—
1929#121—792no—
1930#121—791no—
1931#121—792no—
1932#121—792no—
1933#121—792no—
1934#121—794no—
1935#121—792no—
1936#121—791no—
1937#121—791no—
1938#121—791no—
1939#121—792no—
1940#121—792no—
1941#121—792no—
1942#121—794no—
1943#121—794no—
1944#121—794no—
1945#121—792no—
1946#121—792no—
1947#121—792no—
1948#121—792no—
1949#121—792no—
1950#121—792no—
1951#121—792no—
1952#121—794no—
1953#121—794no—
1954#121—794no—
1955#121—794no—
1956#121—794no—
1957#121—794no—
1958#121—794no—
1959#121—794no—
1960#121—794no—
1961#121C22×D7911yescharacteristic
1962#121C22×D7911yescharacteristic
1963#121C22×D7912yes—
1964#121C22×D7911yescharacteristic
1965#121C22×D7912yes—
1966#121C22×D7912yes—
1967#121C22×D7912yes—
1968#121C22×D7914yes—
1969#121C22×D7914yes—
1970#121C22×D7914yes—
1971#121C22×D7914yes—
1972#120—792no—
1973#120—794no—
1974#120—794no—
1975#120—792no—
1976#120—794no—
1977#120—794no—
1978C4×Q8—792no—
1979C4×Q8—792no—
1980C4×Q8—791no—
1981C4×Q8—792no—
1982C4×Q8—794no—
1983C4×Q8—794no—
1984C4×Q8—792no—
1985C4×Q8—791no—
1986C4×Q8—792no—
1987C4×Q8—792no—
1988C4×Q8—792no—
1989C4×Q8—794no—
1990C4×Q8—794no—
1991C4×Q8—794no—
1992C4×Q8—794no—
1993C4×Q8—792no—
1994C4×Q8—792no—
1995C4×Q8—794no—
1996C4×Q8—791no—
1997C4×Q8—792no—
1998C4×Q8—794no—
1999C4×Q8—794no—
2000C4×Q8—794no—
2001C4×Q8C22×D7912yes—
2002C4×Q8C22×D7912yes—
2003C4×Q8C22×D7911yescharacteristic
2004C4×D4—792no—
2005C4×D4—791no—
2006C4×D4—791no—
2007C4×D4—792no—
2008C4×D4—791no—
2009C4×D4—792no—
2010C4×D4—792no—
2011C4×D4—794no—
2012C4×D4—792no—
2013C4×D4—792no—
2014C4×D4—792no—
2015C4×D4—792no—
2016C4×D4—792no—
2017C4×D4—792no—
2018C4×D4—792no—
2019C4×D4—794no—
2020C4×D4—794no—
2021C4×D4—794no—
2022C4×D4—794no—
2023C4×D4—794no—
2024C4×D4—794no—
2025C4×D4—794no—
2026C4×D4—794no—
2027C4×D4—792no—
2028C4×D4—791no—
2029C4×D4—791no—
2030C4×D4—792no—
2031C4×D4—792no—
2032C4×D4—792no—
2033C4×D4—791no—
2034C4×D4—792no—
2035C4×D4—792no—
2036C4×D4—794no—
2037C4×D4—794no—
2038C4×D4—792no—
2039C4×D4—792no—
2040C4×D4—792no—
2041C4×D4—792no—
2042C4×D4—792no—
2043C4×D4—792no—
2044C4×D4—792no—
2045C4×D4—792no—
2046C4×D4—792no—
2047C4×D4—792no—
2048C4×D4—792no—
2049C4×D4—794no—
2050C4×D4—794no—
2051C4×D4—794no—
2052C4×D4—794no—
2053C4×D4—794no—
2054C4×D4—794no—
2055C4×D4—794no—
2056C4×D4—794no—
2057C4×D4—794no—
2058C4×D4—794no—
2059C4×D4—791no—
2060C4×D4—791no—
2061C4×D4—792no—
2062C4×D4—792no—
2063C4×D4—791no—
2064C4×D4—792no—
2065C4×D4—792no—
2066C4×D4—794no—
2067C4×D4—794no—
2068C4×D4—794no—
2069C4×D4—794no—
2070C4×D4C22×D7911yescharacteristic
2071C4×D4C22×D7911yescharacteristic
2072C4×D4C22×D7912yes—
2073C4×D4C22×D7912yes—
2074C4×D4C22×D7911yescharacteristic
2075C4×D4C22×D7912yes—
2076C4×D4C22×D7912yes—
2077C4×D4C22×D7914yes—
2078#117—792no—
2079#117—792no—
2080#117—792no—
2081#117—792no—
2082#117—792no—
2083#117—791no—
2084#117—791no—
2085#117—792no—
2086#117—792no—
2087#117—792no—
2088#117—792no—
2089#117—794no—
2090#117—792no—
2091#117—792no—
2092#117—794no—
2093#117—792no—
2094#117—792no—
2095#117—792no—
2096#117—794no—
2097#117—794no—
2098#117—792no—
2099#117—792no—
2100#117—794no—
2101#117C22×D7912yes—
2102#117C22×D7912yes—
2103#117C22×D7912yes—
2104#117C22×D7914yes—
2105#117C22×D7912yes—
2106C2×C4⋊C4—792no—
2107C2×C4⋊C4—794no—
2108C2×C4⋊C4—794no—
2109C2×C4⋊C4—794no—
2110C2×C4⋊C4—792no—
2111C2×C4⋊C4—792no—
2112C2×C4⋊C4—792no—
2113C2×C4⋊C4—791no—
2114C2×C4⋊C4—791no—
2115C2×C4⋊C4—792no—
2116C2×C4⋊C4—792no—
2117C2×C4⋊C4—794no—
2118C2×C4⋊C4—794no—
2119C2×C4⋊C4—792no—
2120C2×C4⋊C4—792no—
2121C2×C4⋊C4—792no—
2122C2×C4⋊C4—794no—
2123C2×C4⋊C4—794no—
2124C2×C4⋊C4—794no—
2125C2×C4⋊C4—792no—
2126C2×C4⋊C4—792no—
2127C2×C4⋊C4C22×D7912yes—
2128C2×C4⋊C4C22×D7912yes—
2129C2×C22⋊C4—794no—
2130C2×C22⋊C4—794no—
2131C2×C22⋊C4—794no—
2132C2×C22⋊C4—792no—
2133C2×C22⋊C4—792no—
2134C2×C22⋊C4—792no—
2135C2×C22⋊C4—792no—
2136C2×C22⋊C4—794no—
2137C2×C22⋊C4—794no—
2138C2×C42—792no—
2139C2×C42—791no—
2140C2×C42—791no—
2141C2×C42—791no—
2142C2×C42—794no—
2143C2×C42—791no—
2144C2×C42—791no—
2145C2×C42—791no—
2146C2×C42—791no—
2147C2×C42—792no—
2148C2×C42—791no—
2149C2×C42—791no—
2150C2×C42—791no—
2151C2×C42—791no—
2152C2×C42C22×D7911yescharacteristic
2153C24—792no—
2154C24—792no—
2155C24—791no—
2156#41—44no—
2157#41—44no—
2158#41—3164no—
2159#41—3164no—
2160#41—3168no—
2161#41—3168no—
2162#41—3168no—
2163#41—3168no—
2164#41—3164no—
2165#41—3164no—
2166#41—3164no—
2167#41—3168no—
2168#41—3168no—
2169#41—3164no—
2170#41—3168no—
2171#41—3164no—
2172#41—3164no—
2173#41—3168no—
2174#41—3164no—
2175#41—1588no—
2176#41—1588no—
2177#41—1588no—
2178#41—1584no—
2179#41—1584no—
2180C2×Q8—44no—
2181C2×Q8—3164no—
2182C2×Q8—3168no—
2183C2×Q8—3164no—
2184C2×Q8—3164no—
2185C2×Q8—3164no—
2186C2×Q8—3164no—
2187C2×Q8—3168no—
2188C2×Q8—792no—
2189C2×Q8—792no—
2190C2×Q8—794no—
2191C2×Q8—794no—
2192C2×Q8—794no—
2193C2×Q8—792no—
2194C2×Q8—792no—
2195C2×Q8—794no—
2196C2×Q8—791no—
2197C2×Q8—792no—
2198C2×Q8—792no—
2199C2×Q8—794no—
2200C2×Q8—792no—
2201C2×Q8—1588no—
2202C2×Q8C23×D7911yescharacteristic
2203C2×Q8C23×D7912yes—
2204C2×Q8C23×D7912yes—
2205C2×Q8C23×D7914yes—
2206C2×Q8C23×D7912yes—
2207C2×D4—3164no—
2208C2×D4—3164no—
2209C2×D4—3164no—
2210C2×D4—3164no—
2211C2×D4—792no—
2212C2×D4—794no—
2213C2×D4—794no—
2214C2×D4—792no—
2215C2×D4—794no—
2216C2×D4—794no—
2217C2×D4—792no—
2218C2×D4—792no—
2219C2×D4—792no—
2220C2×D4—792no—
2221C2×D4—792no—
2222C2×D4—792no—
2223C2×D4—792no—
2224C2×D4—792no—
2225C2×D4—792no—
2226C2×D4—792no—
2227C2×D4—792no—
2228C2×D4—792no—
2229C2×D4—792no—
2230C2×D4—794no—
2231C2×D4—792no—
2232C2×D4—794no—
2233C2×D4—792no—
2234C2×D4—792no—
2235C2×D4—791no—
2236C2×D4—791no—
2237C2×D4—792no—
2238C2×D4—792no—
2239C2×D4—792no—
2240C2×D4—791no—
2241C2×D4—1584no—
2242C2×D4—1584no—
2243C2×D4C23×D7911yescharacteristic
2244C2×D4C23×D7911yescharacteristic
2245C2×D4C23×D7911yescharacteristic
2246C2×D4C23×D7912yes—
2247C2×D4C23×D7914yes—
2248C2×D4C23×D7912yes—
2249C2×D4C23×D7914yes—
2250C2×D4C23×D7912yes—
2251C2×D4C23×D7912yes—
2252C2×D4C23×D7912yes—
2253C22×C4—3164no—
2254C22×C4—3164no—
2255C22×C4—3162no—
2256C22×C4—794no—
2257C22×C4—794no—
2258C22×C4—792no—
2259C22×C4—792no—
2260C22×C4—794no—
2261C22×C4—791no—
2262C22×C4—791no—
2263C22×C4—794no—
2264C22×C4—792no—
2265C22×C4—792no—
2266C22×C4—794no—
2267C22×C4—794no—
2268C22×C4—794no—
2269C22×C4—794no—
2270C22×C4—792no—
2271C22×C4—792no—
2272C22×C4—794no—
2273C22×C4—794no—
2274C22×C4—791no—
2275C22×C4—791no—
2276C22×C4—791no—
2277C22×C4—791no—
2278C22×C4—791no—
2279C22×C4—792no—
2280C22×C4—792no—
2281C22×C4—791no—
2282C22×C4—791no—
2283C22×C4—791no—
2284C22×C4—791no—
2285C22×C4—791no—
2286C22×C4—791no—
2287C22×C4—791no—
2288C22×C4—791no—
2289C22×C4—794no—
2290C22×C4—792no—
2291C22×C4—792no—
2292C22×C4—792no—
2293C22×C4—792no—
2294C22×C4—792no—
2295C22×C4—1584no—
2296C22×C4—1584no—
2297C22×C4C23×D7911yescharacteristic
2298C22×C4C23×D7911yescharacteristic
2299C22×C4C23×D7912yes—
2300C22×C4C23×D7912yes—
2301C22×C4C23×D7912yes—
2302C22×C4C23×D7911yescharacteristic
2303C22×C4C23×D7914yes—
2304C22×C4C23×D7914yes—
2305C22×C4C23×D7914yes—
2306C4⋊C4—792no—
2307C4⋊C4—792no—
2308C4⋊C4—794no—
2309C4⋊C4—792no—
2310C4⋊C4—794no—
2311C4⋊C4—794no—
2312C4⋊C4—794no—
2313C4⋊C4—794no—
2314C4⋊C4—794no—
2315C4⋊C4—792no—
2316C4⋊C4—792no—
2317C4⋊C4—794no—
2318C4⋊C4—794no—
2319C4⋊C4—794no—
2320C4⋊C4—794no—
2321C4⋊C4—794no—
2322C4⋊C4—794no—
2323C4⋊C4—794no—
2324C4⋊C4—794no—
2325C4⋊C4—794no—
2326C4⋊C4—794no—
2327C4⋊C4—792no—
2328C4⋊C4—792no—
2329C4⋊C4—792no—
2330C4⋊C4—792no—
2331C4⋊C4—792no—
2332C4⋊C4—792no—
2333C4⋊C4—792no—
2334C4⋊C4—792no—
2335C4⋊C4—792no—
2336C4⋊C4—791no—
2337C4⋊C4—792no—
2338C4⋊C4—791no—
2339C4⋊C4—792no—
2340C4⋊C4—791no—
2341C4⋊C4—792no—
2342C4⋊C4—794no—
2343C4⋊C4—794no—
2344C4⋊C4—792no—
2345C4⋊C4—792no—
2346C4⋊C4—794no—
2347C4⋊C4—794no—
2348C4⋊C4—794no—
2349C4⋊C4—794no—
2350C4⋊C4—792no—
2351C4⋊C4—791no—
2352C4⋊C4—792no—
2353C4⋊C4C23×D7911yescharacteristic
2354C4⋊C4C23×D7911yescharacteristic
2355C4⋊C4C23×D7912yes—
2356C4⋊C4C23×D7912yes—
2357C4⋊C4C23×D7914yes—
2358C4⋊C4C23×D7911yescharacteristic
2359C4⋊C4C23×D7912yes—
2360C4⋊C4C23×D7912yes—
2361C4⋊C4C23×D7914yes—
2362C4⋊C4C23×D7914yes—
2363C4⋊C4C23×D7914yes—
2364C4⋊C4C23×D7912yes—
2365C4⋊C4C23×D7914yes—
2366C4⋊C4C23×D7914yes—
2367C4⋊C4C23×D7911yescharacteristic
2368C4⋊C4C23×D7912yes—
2369C4⋊C4C23×D7912yes—
2370C4⋊C4C23×D7912yes—
2371C4⋊C4C23×D7912yes—
2372C22⋊C4—794no—
2373C22⋊C4—792no—
2374C22⋊C4—792no—
2375C22⋊C4—794no—
2376C22⋊C4—794no—
2377C22⋊C4—792no—
2378C22⋊C4—792no—
2379C22⋊C4—792no—
2380C22⋊C4—794no—
2381C22⋊C4—794no—
2382C22⋊C4—792no—
2383C22⋊C4—794no—
2384C22⋊C4—792no—
2385C22⋊C4—792no—
2386C22⋊C4—792no—
2387C22⋊C4—794no—
2388C22⋊C4—794no—
2389C22⋊C4—792no—
2390C22⋊C4—792no—
2391C22⋊C4—792no—
2392C22⋊C4—792no—
2393C22⋊C4—794no—
2394C22⋊C4—794no—
2395C22⋊C4—794no—
2396C22⋊C4—794no—
2397C22⋊C4—792no—
2398C22⋊C4—792no—
2399C22⋊C4—792no—
2400C22⋊C4—792no—
2401C22⋊C4—792no—
2402C22⋊C4—792no—
2403C22⋊C4—792no—
2404C22⋊C4—792no—
2405C22⋊C4—794no—
2406C22⋊C4—794no—
2407C22⋊C4—794no—
2408C22⋊C4—794no—
2409C22⋊C4—792no—
2410C22⋊C4—792no—
2411C22⋊C4—794no—
2412C22⋊C4—794no—
2413C22⋊C4—792no—
2414C22⋊C4—792no—
2415C22⋊C4C23×D7912yes—
2416C22⋊C4C23×D7914yes—
2417C22⋊C4C23×D7912yes—
2418C22⋊C4C23×D7914yes—
2419C22⋊C4C23×D7914yes—
2420C22⋊C4C23×D7912yes—
2421C22⋊C4C23×D7912yes—
2422C22⋊C4C23×D7912yes—
2423C22⋊C4C23×D7912yes—
2424C22⋊C4C23×D7912yes—
2425C22⋊C4C23×D7914yes—
2426C22⋊C4C23×D7914yes—
2427C22⋊C4C23×D7912yes—
2428C22⋊C4C23×D7912yes—
2429C22⋊C4C23×D7914yes—
2430C42—791no—
2431C42—791no—
2432C42—791no—
2433C42—791no—
2434C42—791no—
2435C42—791no—
2436C42—791no—
2437C42—791no—
2438C42—791no—
2439C42—791no—
2440C42—791no—
2441C42—791no—
2442C42—794no—
2443C42—792no—
2444C42—792no—
2445C42—792no—
2446C42—792no—
2447C42—792no—
2448C42—794no—
2449C42—794no—
2450C42—794no—
2451C42—794no—
2452C42—794no—
2453C42C23×D7911yescharacteristic
2454C42C23×D7911yescharacteristic
2455C42C23×D7911yescharacteristic
2456C42C23×D7911yescharacteristic
2457C42C23×D7914yes—
2458C42C23×D7912yes—
2459C42C23×D7914yes—
2460C23—3161no—
2461C23—3162no—
2462C23—3162no—
2463C23—3162no—
2464C23—3162no—
2465C23—791no—
2466C23—791no—
2467C23—792no—
2468C23—792no—
2469C23—792no—
2470C23—1582no—
2471C23—1582no—
2472C23—1584no—
2473C23—1584no—
2474C23C24×D7912yes—
2475C23C24×D7912yes—
2476C23C24×D7911yescharacteristic
2477C23C24×D7912yes—
2478Q8—22no—
2479Q8—24no—
2480Q8—44no—
2481Q8—42no—
2482Q8—42no—
2483Q8—3164no—
2484Q8—3164no—
2485Q8—3164no—
2486Q8—3162no—
2487Q8—3162no—
2488Q8—3162no—
2489Q8—1584no—
2490Q8—1584no—
2491Q8—1588no—
2492Q8—1588no—
2493Q8—1584no—
2494Q8—1582no—
2495Q8—1584no—
2496D4—22no—
2497D4—22no—
2498D4—22no—
2499D4—42no—
2500D4—42no—
2501D4—42no—
2502D4—42no—
2503D4—44no—
2504D4—42no—
2505D4—44no—
2506D4—3162no—
2507D4—3162no—
2508D4—3164no—
2509D4—3164no—
2510D4—3162no—
2511D4—3162no—
2512D4—3162no—
2513D4—3164no—
2514D4—3164no—
2515D4—3162no—
2516D4—3164no—
2517D4—3164no—
2518D4—1584no—
2519D4—1584no—
2520D4—1584no—
2521D4—1584no—
2522D4—1584no—
2523D4—1584no—
2524D4—1584no—
2525D4—1584no—
2526D4—1584no—
2527D4—1584no—
2528D4—1584no—
2529D4—1584no—
2530D4—1584no—
2531D4—1584no—
2532D4—1584no—
2533D4—1582no—
2534D4—1582no—
2535D4—1582no—
2536C2×C4—24no—
2537C2×C4—24no—
2538C2×C4—22no—
2539C2×C4—22no—
2540C2×C4—24no—
2541C2×C4—41no—
2542C2×C4—44no—
2543C2×C4—44no—
2544C2×C4—44no—
2545C2×C4—3162no—
2546C2×C4—3162no—
2547C2×C4—3162no—
2548C2×C4—3162no—
2549C2×C4—3161no—
2550C2×C4—3161no—
2551C2×C4—3164no—
2552C2×C4—3164no—
2553C2×C4—3164no—
2554C2×C4—3164no—
2555C2×C4—3164no—
2556C2×C4—3164no—
2557C2×C4—3164no—
2558C2×C4—3162no—
2559C2×C4—3162no—
2560C2×C4—3164no—
2561C2×C4—3164no—
2562C2×C4—3164no—
2563C2×C4—791no—
2564C2×C4—791no—
2565C2×C4—791no—
2566C2×C4—794no—
2567C2×C4—794no—
2568C2×C4—792no—
2569C2×C4—791no—
2570C2×C4—794no—
2571C2×C4—791no—
2572C2×C4—791no—
2573C2×C4—792no—
2574C2×C4—792no—
2575C2×C4—794no—
2576C2×C4—792no—
2577C2×C4—792no—
2578C2×C4—1582no—
2579C2×C4—1582no—
2580C2×C4—1582no—
2581C2×C4—1582no—
2582C2×C4—1584no—
2583C2×C4—1584no—
2584C2×C4—1582no—
2585C2×C4—1582no—
2586C2×C4—1588no—
2587C2×C4—1582no—
2588C2×C4—1582no—
2589C2×C4—1582no—
2590C2×C4—1584no—
2591C2×C4—1584no—
2592C2×C4—1582no—
2593C2×C4—1584no—
2594C2×C4—1584no—
2595C2×C4—1582no—
2596C2×C4—1584no—
2597C2×C4C24×D7911yescharacteristic
2598C2×C4C24×D7912yes—
2599C2×C4C24×D7911yescharacteristic
2600C2×C4C24×D7914yes—
2601C2×C4C24×D7911yescharacteristic
2602C2×C4C24×D7911yescharacteristic
2603C2×C4C24×D7912yes—
2604C2×C4C24×D7912yes—
2605C2×C4C24×D7912yes—
2606C2×C4C24×D7914yes—
2607C2×C4C24×D7912yes—
2608C2×C4C24×D7911yescharacteristic
2609C2×C4C24×D7911yescharacteristic
2610C22—22no—
2611C22—22no—
2612C22—21no—
2613C22—22no—
2614C22—21no—
2615C22—22no—
2616C22—22no—
2617C22—22no—
2618C22—22no—
2619C22—21no—
2620C22—22no—
2621C22—22no—
2622C22—3164no—
2623C22—792no—
2624C22—792no—
2625C22—6324no—
2626C22—6324no—
2627C22—1582no—
2628C22—1582no—
2629C22—1582no—
2630C22—1582no—
2631C22—1582no—
2632C22—1582no—
2633C22—1582no—
2634C22—1582no—
2635C22—1582no—
2636C22—1581no—
2637C22—1581no—
2638C22—1581no—
2639C22—1581no—
2640C22C25×D7911yescharacteristic
2641C4—22no—
2642C4—22no—
2643C4—21no—
2644C4—24no—
2645C4—22no—
2646C4—21no—
2647C4—22no—
2648C4—22no—
2649C4—24no—
2650C4—21no—
2651C4—21no—
2652C4—792no—
2653C4—792no—
2654C4—792no—
2655C4—1581no—
2656C4—1584no—
2657C4—1582no—
2658C4—1582no—
2659C4—1582no—
2660C4—1581no—
2661C4—1582no—
2662C4—1582no—
2663C4—1584no—
2664C4—1581no—
2665C4H(5,𝔽2)×D7912yes—
2666C42−1+4×D7912yes—
2667C2—41no—
2668C2—42no—
2669C2—42no—
2670C2—42no—
2671C2—3162no—
2672C2—3162no—
2673C2—3162no—
2674C2—1582no—
2675C2—1582no—
2676C2C2×H(5,𝔽2)×D7911yescharacteristic
2677C2C2×2−1+4×D7911yescharacteristic
2678C2#585×D7911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3547C2
hypercenter#3547D79
hypocenterC79#62835
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3547

Complements

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

NH ≅ G/Ntype
1. #23777964C2semidirect
2. #23777933C2semidirect
3. #23777930C2semidirect
4. #23777862C2semidirect
5. #23777809C2semidirect
6. #23777795C2semidirect
7. #23777791C2semidirect
8. #23777789C2semidirect
9. #23777783C2semidirect
10. #23777619C2semidirect
11. #23777481C2semidirect
12. #23777446C2semidirect
13. #23777442C2semidirect
14. #23777308C2semidirect
15. #23777302C2semidirect
16. #23777300C2semidirect
17. #23777300C2semidirect
18. #23777272C2semidirect
19. #23777259C2semidirect
20. #23777250C2semidirect
21. #23777242C2semidirect
22. #23777215C2semidirect
23. #23777197C2semidirect
24. #23777195C2semidirect
25. #23777184C2semidirect
26. #23777179C2semidirect
27. #23777168C2semidirect
28. #23777134C2semidirect
29. #23777128C2semidirect
30. #23777078C2semidirect
31. #23777075C2semidirect
32. #23776694C2semidirect
33. #533×D79C2semidirect
34. #532×D79C2semidirect
35. C79×#3547C2semidirect
36. C2×#14579209C22semidirect
37. C2×#14579208C22semidirect
39. #19099316C22semidirect
40. #19099312C22semidirect
41. #19099310C22semidirect
42. #19099309C22semidirect
43. #19099309C22semidirect
44. #19099308C22semidirect
45. #19099308C22semidirect
46. #19099297C22semidirect
47. #19099297C22semidirect
48. #19099297C22semidirect
49. #19099295C22semidirect
50. #19099293C22semidirect
51. #19099290C22semidirect
52. #19099284C22semidirect
53. #19099284C22semidirect
54. #19099281C22semidirect
55. #19099281C22semidirect
56. #19099281C22semidirect
57. #19099280C22semidirect
58. #19099279C22semidirect
59. #19099278C22semidirect
60. #19099278C22semidirect
61. #19099278C22semidirect
62. #19099277C22semidirect
63. #19099276C22semidirect
64. #19099274C22semidirect
65. #19099274C22semidirect
66. #19099273C22semidirect
67. #19099272C22semidirect
68. #19099271C22semidirect
69. #19099271C22semidirect
70. #19099270C22semidirect
71. #19099270C22semidirect
73. #19099269C22semidirect
74. #19099268C22semidirect
76. #19099267C22semidirect
77. #19099267C22semidirect
78. #19099266C22semidirect
79. #19099265C22semidirect
80. #19099263C22semidirect
81. #19099261C22semidirect
82. #19099260C22semidirect
83. #19099260C22semidirect
84. #19099260C22semidirect
85. #19099259C22semidirect
86. #19099257C22semidirect
87. #19099257C22semidirect
88. #19099257C22semidirect
89. #19099254C22semidirect
90. #19099253C22semidirect
91. #19099251C22semidirect
96. #19099232C22semidirect
97. #19099231C22semidirect
98. #19099231C22semidirect
99. #19099231C22semidirect
100. Q8×D316C22semidirect
101. D4×Dic158C22semidirect
103. #19099228C22semidirect
104. Q8×C22⋊D79C22semidirect
105. Q8×C22⋊D79C22semidirect
107. #19099226C22semidirect
108. #19099226C22semidirect
109. #19099226C22semidirect
110. #19099225C22semidirect
111. #19099223C22semidirect
112. #19099222C22semidirect
113. #19099222C22semidirect
114. #19099221C22semidirect
115. #19099221C22semidirect
116. #19099221C22semidirect
117. #19099221C22semidirect
118. #19099219C22semidirect
119. #19099218C22semidirect
120. #19099218C22semidirect
121. #19099217C22semidirect
122. #19099216C22semidirect
123. #19099216C22semidirect
124. #19099216C22semidirect
125. #19099215C22semidirect
126. #19099215C22semidirect
127. #19099215C22semidirect
128. #19099214C22semidirect
129. #19099214C22semidirect
130. #19099213C22semidirect
131. #19099213C22semidirect
132. #19099213C22semidirect
133. #19099213C22semidirect
134. #19099212C22semidirect
135. #19099211C22semidirect
136. #19099211C22semidirect
137. #19099211C22semidirect
147. #19099193C22semidirect
148. #19099191C22semidirect
150. #19099190C22semidirect
153. #19099185C22semidirect
154. #19099183C22semidirect
155. #19099181C22semidirect
156. #19099181C22semidirect
157. #19099179C22semidirect
158. #19099179C22semidirect
159. #19099177C22semidirect
160. #19099177C22semidirect
161. #19099177C22semidirect
162. #19099177C22semidirect
163. #19099177C22semidirect
164. #19099169C22semidirect
165. #19099168C22semidirect
166. #19099167C22semidirect
167. #19099163C22semidirect
168. #19099163C22semidirect
169. #19099161C22semidirect
170. #19099161C22semidirect
171. #19099159C22semidirect
172. #19099158C22semidirect
173. #19099157C22semidirect
174. #19099156C22semidirect
177. #19099143C22semidirect
178. #19099143C22semidirect
179. #19099143C22semidirect
180. #19099142C22semidirect
181. #19099142C22semidirect
182. #19099142C22semidirect
183. #19099142C22semidirect
184. #19099141C22semidirect
185. #19099140C22semidirect
186. #19099136C22semidirect
187. #19099136C22semidirect
188. #19099136C22semidirect
189. #19099136C22semidirect
190. #19099136C22semidirect
191. #19099135C22semidirect
192. #19099134C22semidirect
195. #19099120C22semidirect
197. #19099119C22semidirect
198. #19099119C22semidirect
204. #19099116C22semidirect
205. #19099116C22semidirect
206. #19099115C22semidirect
207. #19099115C22semidirect
208. #19099115C22semidirect
212. #19099112C22semidirect
213. #19099112C22semidirect
219. #19099110C22semidirect
220. #19099110C22semidirect
221. #19099110C22semidirect
226. #19099108C22semidirect
227. #19099108C22semidirect
228. #19099108C22semidirect
229. C2×#14579160C22semidirect
231. C4⋊Q8×D79C22semidirect
232. C4⋊Q8×D79C22semidirect
233. C4⋊Q8×D79C22semidirect
236. #19099097C22semidirect
238. #19099096C22semidirect
239. #19099096C22semidirect
241. #19099091C22semidirect
242. #19099091C22semidirect
243. #19099090C22semidirect
244. #125×D79C22semidirect
264. #19099044C22semidirect
266. #19099043C22semidirect
267. #19099043C22semidirect
268. #19099042C22semidirect
271. C4×#11929625C22semidirect
273. C4×#11929623C22semidirect
274. C4×#11929623C22semidirect
275. C4×Q8×D79C22semidirect
276. C4×Q8×D79C22semidirect
282. #562×C79C22semidirect
283. #555×C79C22semidirect
284. #555×C79C22semidirect
285. #554×C79C22semidirect
286. #553×C79C22semidirect
287. #552×C79C22semidirect
288. D4×Q8×C79C22semidirect
289. #548×C79C22semidirect
290. #547×C79C22semidirect
291. #544×C79C22semidirect
292. #542×C79C22semidirect
293. #540×C79C22semidirect
294. #537×C79C22semidirect
295. #536×C79C22semidirect
296. #533×C79C22semidirect
298. #529×C79C22semidirect
1256. C4×D792−1+4semidirect
1349. #3547D79semidirect
1375. C79#62835semidirect
1386. #562C2×D79semidirect
1405. #555C2×D79semidirect
1406. #555C2×D79semidirect
1421. #554C2×D79semidirect
1433. #553C2×D79semidirect
1437. #552C2×D79semidirect
1456. D4×Q8C2×D79semidirect
1466. #548C2×D79semidirect
1486. #547C2×D79semidirect
1500. #544C2×D79semidirect
1514. #542C2×D79semidirect
1520. #540C2×D79semidirect
1538. #537C2×D79semidirect
1546. #536C2×D79semidirect
1563. #533C2×D79semidirect
1600. #529C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779642
#237779332
#237779302
#237778622
#237778092
#237777952
#237777912
#237777892
#237777832
#237776192
#237774812
#237774462
#237774422
#237773082
#237773022
#237773002
#237772722
#237772592
#237772502
#237772422
#237772152
#237771972
#237771952
#237771842
#237771792
#237771682
#237771342
#237771282
#237770782
#237770752
#237766942
#533×D792
#532×D792
C79×#35472
#6283579