Finite Group Databasebeta

← #35197179

Subgroups — #35197179

Order 20224.

7148 conjugacy classes of subgroups.

The subgroup lattice has 2626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777958C214yesmaximal, complemented
2#23777932C212yesmaximal, complemented
3#23777929C212yesmaximal, complemented
4#23777869C212yesmaximal, complemented
5#23777861C212yesmaximal, complemented
6#23777808C212yesmaximal, complemented
7#23777794C212yesmaximal, complemented
8#23777784C212yesmaximal, complemented
9#23777776C212yesmaximal, complemented
10#23777615C214yesmaximal, complemented
11#23777483C212yesmaximal, complemented
12#23777477C212yesmaximal, complemented
13#23777438C214yesmaximal, complemented
14#23777302C212yesmaximal, complemented
15#23777302C212yesmaximal, complemented
16#23777300C212yesmaximal, complemented
17#23777275C211yesmaximal, characteristic, complemented
18#23777271C211yesmaximal, characteristic, complemented
19#23777256C212yesmaximal, complemented
20#23777251C211yesmaximal, characteristic, complemented
21#23777245C211yesmaximal, characteristic, complemented
22#23777215C211yesmaximal, characteristic, complemented
23#23777213C211yesmaximal, characteristic, complemented
24#23777202C211yesmaximal, characteristic, complemented
25#23777198C211yesmaximal, characteristic, complemented
26#23777179C212yesmaximal, complemented
27#23777166C212yesmaximal, complemented
28#23777137C211yesmaximal, characteristic, complemented
29#23777135C211yesmaximal, characteristic, complemented
30#23777129C211yesmaximal, characteristic, complemented
31#23777071C214yesmaximal, complemented
32#23776692C211yesmaximal, characteristic, complemented
33C2×#19099116C211yesmaximal, characteristic, complemented
34C2×#19099108C211yesmaximal, characteristic, complemented
35C79×#3494C211yesmaximal, characteristic, complemented
36C2×#14579208C2214yescomplemented
37C22×#11929623C2212yes—
38#19099315C2214yescomplemented
39#19099314C2214yescomplemented
40#19099310C2214yescomplemented
41#19099310C2214yescomplemented
42#19099310C2214yescomplemented
43#19099308C2214yescomplemented
44#19099308C2214yescomplemented
45#19099307C2214yescomplemented
46#19099299C2212yescomplemented
47#19099298C2212yescomplemented
48#19099296C2212yescomplemented
49#19099296C2212yescomplemented
50#19099296C2212yescomplemented
51#19099295C2212yescomplemented
52#19099295C2212yescomplemented
53#19099295C2212yescomplemented
54Q8×Dic158C2212yescomplemented
55#19099293C2212yescomplemented
56#19099290C2212yescomplemented
57#19099289C2212yescomplemented
58#19099285C2212yescomplemented
59#19099282C2212yescomplemented
60#19099281C2214yescomplemented
61#19099280C2214yescomplemented
62#19099280C2214yescomplemented
63#19099278C2212yescomplemented
64#19099277C2212yescomplemented
65#19099277C2212yescomplemented
66#19099276C2212yescomplemented
67#19099276C2212yescomplemented
68#19099274C2212yescomplemented
69#19099274C2212yescomplemented
70#19099272C2214yes—
71#19099272C2212yescomplemented
72#19099272C2212yescomplemented
73#19099272C2212yescomplemented
74#19099272C2212yescomplemented
75#19099272C2212yescomplemented
76#19099270C2212yescomplemented
77#19099270C2212yescomplemented
78#19099269C2212yescomplemented
79#19099269C2212yescomplemented
80#19099269C2212yescomplemented
81#19099269C2212yescomplemented
82#19099269C2212yescomplemented
83#19099267C2214yes—
84#19099265C2212yescomplemented
85#19099265C2212yescomplemented
86#19099261C2212yescomplemented
87#19099261C2212yescomplemented
88#19099260C2212yescomplemented
89#19099260C2212yescomplemented
90#19099259C2212yescomplemented
91#19099259C2212yescomplemented
92#19099257C2212yescomplemented
93#19099257C2212yescomplemented
94#19099249C2214yescomplemented
95#19099246C2214yescomplemented
96#19099239C2214yes—
97#19099237C2214yes—
98#19099236C2214yes—
99#19099234C2212yescomplemented
100#19099234C2212yescomplemented
101#19099234C2212yescomplemented
102#19099233C2212yescomplemented
103#19099233C2212yescomplemented
104#19099233C2212yescomplemented
105D4×Dic158C2214yes—
106D4×Dic158C2212yescomplemented
107D4×Dic158C2212yescomplemented
108D4×Dic158C2212yescomplemented
109#19099228C2212yescomplemented
110#19099228C2212yescomplemented
111#19099228C2212yescomplemented
112#19099226C2214yes—
113#19099226C2214yescomplemented
114#19099222C2214yescomplemented
115#19099222C2214yescomplemented
116#19099222C2214yescomplemented
117#19099221C2214yescomplemented
118#19099221C2214yescomplemented
119#19099221C2214yescomplemented
120#19099219C2214yescomplemented
121#19099219C2214yescomplemented
122#19099217C2214yescomplemented
123#19099217C2212yescomplemented
124#19099214C2212yescomplemented
125#19099214C2212yescomplemented
126#19099213C2214yescomplemented
127#19099213C2214yescomplemented
128#19099213C2212yescomplemented
129#19099213C2212yescomplemented
130#19099212C2214yescomplemented
131#19099212C2214yescomplemented
132#19099211C2214yescomplemented
133#19099211C2214yescomplemented
134#19099211C2214yescomplemented
135#19099211C2214yescomplemented
136#19099211C2214yescomplemented
137#19099207C2214yes—
138#19099203C2214yes—
139#19099203C2214yes—
140#19099203C2214yes—
141#19099200C2214yes—
142#19099200C2214yes—
143#19099200C2214yes—
144#19099194C2211yescharacteristic
145#19099194C2212yescomplemented
146#19099193C2212yescomplemented
147#19099191C2211yescharacteristic
148#19099191C2211yescharacteristic
149#19099191C2212yescomplemented
150#19099190C2212yescomplemented
151#19099189C2214yes—
152#19099188C2214yes—
153#19099186C2212yescomplemented
154#19099184C2212yescomplemented
155#19099184C2214yescomplemented
156#19099181C2214yescomplemented
157#19099181C2214yescomplemented
158#19099180C2212yescomplemented
159#19099179C2214yescomplemented
160#19099179C2214yescomplemented
161#19099179C2214yescomplemented
162#19099178C2214yescomplemented
163#19099177C2214yescomplemented
164#19099177C2214yescomplemented
165#19099177C2214yescomplemented
166#19099168C2212yescomplemented
167#19099166C2212yescomplemented
168#19099166C2212yescomplemented
169#19099166C2212yescomplemented
170#19099166C2212yescomplemented
171#19099164C2212yescomplemented
172#19099164C2212yescomplemented
173#19099162C2214yescomplemented
174#19099157C2214yescomplemented
175#19099157C2214yescomplemented
176#19099156C2214yescomplemented
177#19099155C2214yescomplemented
178#19099154C2214yescomplemented
179#19099148C2214yes—
180#19099146C2214yes—
181#19099142C2214yescomplemented
182#19099142C2214yescomplemented
183#19099141C2214yescomplemented
184#19099140C2214yescomplemented
185#19099140C2214yescomplemented
186#19099140C2214yescomplemented
187#19099140C2214yescomplemented
188#19099136C2214yescomplemented
189#19099135C2214yescomplemented
190#19099135C2214yescomplemented
191#19099135C2214yescomplemented
192#19099133C2214yescomplemented
193#19099132C2211yescharacteristic
194#19099130C2211yescharacteristic
195#19099127C2211yescharacteristic
196#19099119C2212yescomplemented
197#19099116C2212yes—
198#19099116C2212yes—
199#19099116C2211yescharacteristic
200#19099116C2211yescharacteristic
201#19099116C2211yescharacteristic
202#19099116C2211yescharacteristic
203#19099116C2211yescharacteristic
204#19099116C2212yescomplemented
205#19099116C2211yescharacteristic, complemented
206#19099116C2212yescomplemented
207#19099116C2211yescharacteristic, complemented
208#19099116C2212yescomplemented
209#19099116C2211yescharacteristic, complemented
210#19099116C2211yescharacteristic, complemented
211#19099115C2211yescharacteristic, complemented
212#19099115C2211yescharacteristic, complemented
213#19099113C2212yescomplemented
214#19099110C2212yescomplemented
215#19099110C2212yescomplemented
216#19099109C2211yescharacteristic
217#19099108C2212yes—
218#19099108C2212yes—
219#19099108C2212yes—
220#19099108C2212yes—
221#19099108C2212yes—
222#19099108C2212yes—
223#19099108C2212yes—
224#19099108C2212yes—
225#19099108C2211yescharacteristic, complemented
226#19099108C2212yescomplemented
227#19099108C2212yescomplemented
228#19099108C2212yescomplemented
229#19099108C2212yescomplemented
230#19099108C2211yescharacteristic, complemented
231C2×#14579160C2211yescharacteristic
232C2×#14579160C2211yescharacteristic, complemented
233C2×#14579160C2212yescomplemented
234C2×#14579160C2211yescharacteristic, complemented
235C4⋊Q8×D79C2212yescomplemented
236C2×#14579157C2211yescharacteristic
237#19099099C2211yescharacteristic, complemented
238#19099099C2212yescomplemented
239#19099099C2211yescharacteristic, complemented
240#19099097C2212yescomplemented
241#19099094C2211yescharacteristic, complemented
242#19099094C2212yescomplemented
243#19099094C2211yescharacteristic, complemented
244#19099093C2212yescomplemented
245#19099093C2212yescomplemented
246#19099090C2212yes—
247#19099090C2212yes—
248C2×#14579152C2211yescharacteristic, complemented
249C2×#14579152C2211yescharacteristic, complemented
250C2×#14579147C2212yes—
251#19099074C2211yescharacteristic
252#19099072C2214yes—
253#19099069C2212yes—
254#19099069C2214yes—
255#19099069C2212yes—
256C2×#14579138C2212yes—
257C2×#14579138C2214yes—
258C2×#14579138C2212yes—
259C22⋊Q8×D79C2214yes—
260C2×#14579135C2211yescharacteristic
261C2×#14579133C2212yes—
262#19099046C2211yescharacteristic
263#19099044C2211yescharacteristic
264#19099043C2211yescharacteristic
265#19099043C2214yescomplemented
266#19099042C2214yescomplemented
267#19099042C2214yescomplemented
268#19099038C2211yescharacteristic
269#19099037C2211yescharacteristic
270#19099037C2211yescharacteristic
271#41×Dic79C2211yescharacteristic
272#19099031C2211yescharacteristic
273C4×#11929623C2212yescomplemented
274C4×#11929623C2212yescomplemented
275C2×C4×Dic158C2212yescomplemented
276C2×C4×Dic158C2212yescomplemented
277C2×D4×Dic79C2211yescharacteristic
278C2×#14579123C2211yescharacteristic
279C2×(C22⋊D79)⋊C4C2212yes—
280C2×#14579120C2211yescharacteristic
281C22×C4×Dic79C2211yescharacteristic
282#555×C79C2212yescomplemented
283#553×C79C2212yescomplemented
284#553×C79C2212yescomplemented
285#551×C79C2214yes—
286#547×C79C2212yescomplemented
287#546×C79C2214yes—
288#544×C79C2211yescharacteristic
289#542×C79C2212yescomplemented
290#540×C79C2212yescomplemented
291#535×C79C2211yescharacteristic
292#532×C79C2212yescomplemented
293#529×C79C2212yescomplemented
294#525×C79C2211yescharacteristic
295C2×#121×C79C2211yescharacteristic
296#520×C79C2211yescharacteristic
297#518×C79C2211yescharacteristic
298C2×#117×C79C2211yescharacteristic
299#14579208—416no—
300C2×#11929624C2311yescharacteristic
301C2×#11929624C2314yes—
302C2×#11929624C2314yes—
303C2×#11929624C2314yes—
304C2×#11929624C2314yes—
305C2×#11929623—48no—
306C2×#11929623C2312yes—
307C2×#11929623C2314yes—
308C2×#11929623C2312yes—
309C2×#11929623C2314yes—
310C2×#11929623C2314yes—
311C2×#11929623C2314yes—
312C2×#11929623C2314yes—
313C2×#11929623C2314yes—
314C2×#11929623C2314yes—
315C2×#11929623C2314yes—
316C2×#11929623C2314yes—
317C22×Dic158C2312yes—
318C22×Dic158C2314yes—
319C22×Dic158C2314yes—
320C22×Dic158C2312yes—
321C22×Dic158C2312yes—
322C2×Q8×D79C2314yes—
323C2×Q8×D79C2314yes—
324C22×D316C2311yescharacteristic
325C22×C22⋊D79C2312yes—
326C22×C22⋊D79C2312yes—
327C22×C22⋊D79C2312yes—
328C23×Dic79C2311yescharacteristic
329C23×Dic79C2311yescharacteristic
330C23×Dic79C2312yes—
331C22×C4×D79C2312yes—
332#14579161C2312yes—
333#14579161C2314yes—
334#14579161C2312yes—
335#14579160C2312yes—
336#14579160C2314yes—
337#14579160C2314yes—
338#14579160C2312yes—
339#14579160C2314yes—
340#14579160C2314yes—
341#14579160C2312yes—
342#14579160C2312yes—
343#14579160C2312yes—
344#14579160C2312yes—
345#14579160C2312yes—
346#14579160C2312yes—
347#14579160C2312yes—
348#14579160C2311yescharacteristic
349#14579160C2314yes—
350#14579160C2311yescharacteristic
351#14579160C2311yescharacteristic
352#14579160C2312yes—
353#14579160C2311yescharacteristic
354#14579160C2311yescharacteristic
355#14579160C2312yes—
356#14579160C2311yescharacteristic
357#14579160C2311yescharacteristic
358#14579160C2312yes—
359#14579160C2311yescharacteristic
360#14579160C2311yescharacteristic
361#14579160C2311yescharacteristic
362#14579159C2314yes—
363#14579159C2314yes—
364#14579159C2311yescharacteristic
365#14579158C2312yes—
366#14579157C2312yes—
367#14579157C2312yes—
368#14579157C2312yes—
369#14579157C2311yescharacteristic
370#14579157C2312yes—
371#14579157C2312yes—
372#14579157C2312yes—
373#14579156C2314yes—
374#14579156C2312yes—
375#14579156C2314yes—
376#14579156C2314yes—
377#14579156C2312yes—
378#14579156C2314yes—
379#14579155C2314yes—
380#14579155C2314yes—
381#14579154C2314yes—
382#14579154C2314yes—
383#14579154C2312yes—
384#14579154C2314yes—
385#14579154C2312yes—
386#14579154C2314yes—
387#14579153C2314yes—
388#14579153C2312yes—
389#14579153C2312yes—
390#14579152C2312yes—
391#14579152C2312yes—
392#14579152C2314yes—
393#14579152C2311yescharacteristic
394#14579152C2311yescharacteristic
395#14579152C2311yescharacteristic
396#14579152C2311yescharacteristic
397#14579152C2312yes—
398#14579152C2312yes—
399#14579152C2312yes—
400#14579152C2312yes—
401#14579152C2311yescharacteristic
402#14579152C2311yescharacteristic
403#14579152C2311yescharacteristic
404#14579152C2311yescharacteristic
405#14579152C2311yescharacteristic
406#14579152C2311yescharacteristic
407#14579152C2312yes—
408#14579152C2312yes—
409#14579151C2314yes—
410#14579151C2314yes—
411#14579151C2312yes—
412#14579151C2312yes—
413#14579150C2312yes—
414#14579150C2311yescharacteristic
415#14579149C2314yes—
416#14579149C2314yes—
417#14579149C2312yes—
418#14579148C2314yes—
419#14579148C2314yes—
420#14579148C2312yes—
421#14579148C2311yescharacteristic
422#14579147C2314yes—
423#14579147C2314yes—
424#14579147C2314yes—
425#14579147C2314yes—
426#14579147C2314yes—
427#14579147C2314yes—
428#14579147C2314yes—
429#14579147C2314yes—
430#14579147C2314yes—
431#14579147C2314yes—
432#14579147C2314yes—
433#14579147C2314yes—
434#14579147C2312yes—
435#14579147C2314yes—
436#14579147C2312yes—
437#14579147C2314yes—
438#14579146C2314yes—
439#14579146C2314yes—
440#14579146C2314yes—
441#14579146C2314yes—
442#14579145C2314yes—
443#14579145C2314yes—
444#14579145C2314yes—
445#14579145C2314yes—
446#14579145C2314yes—
447#14579145C2314yes—
448#14579145C2312yes—
449#14579145C2312yes—
450#14579144C2314yes—
451#14579144C2314yes—
452#14579144C2314yes—
453#14579144C2314yes—
454#14579144C2312yes—
455#14579143C2314yes—
456#14579143C2314yes—
457#14579143C2314yes—
458#14579143C2314yes—
459#14579143C2314yes—
460#14579143C2314yes—
461#14579143C2314yes—
462#14579143C2314yes—
463#14579143C2314yes—
464#14579143C2314yes—
465#14579142C2314yes—
466#14579142C2314yes—
467#14579142C2314yes—
468#14579142C2314yes—
469#14579142C2312yes—
470#14579142C2312yes—
471#14579141C2314yes—
472#14579141C2314yes—
473#14579141C2314yes—
474#14579141C2314yes—
475#14579141C2314yes—
476#14579140C2314yes—
477#14579140C2314yes—
478#14579140C2314yes—
479#14579140C2314yes—
480#14579140C2314yes—
481#14579140C2311yescharacteristic
482#14579140C2314yes—
483#14579140C2314yes—
484#14579140C2311yescharacteristic
485#14579139C2314yes—
486#14579139C2314yes—
487#14579139C2314yes—
488#14579139C2314yes—
489#14579139C2314yes—
490#14579139C2314yes—
491#14579139C2314yes—
492#14579139C2314yes—
493#14579139C2314yes—
494#14579139C2314yes—
495#14579139C2314yes—
496#14579139C2314yes—
497#14579138C2312yes—
498#14579138C2312yes—
499#14579138C2314yes—
500#14579138C2314yes—
501#14579138C2314yes—
502#14579138C2314yes—
503#14579138C2314yes—
504#14579138C2314yes—
505#14579138C2312yes—
506#14579138C2312yes—
507#14579138C2314yes—
508#14579138C2314yes—
509#14579138C2312yes—
510#14579138C2312yes—
511#14579138C2314yes—
512#14579138C2312yes—
513#14579138C2314yes—
514#14579138C2314yes—
515#14579138C2314yes—
516#14579138C2314yes—
517#14579138C2312yes—
518#14579138C2314yes—
519#14579138C2314yes—
520#14579138C2312yes—
521#14579138C2312yes—
522#14579138C2312yes—
523#14579138C2312yes—
524#14579138C2312yes—
525#14579138C2312yes—
526#14579138C2314yes—
527#14579138C2312yes—
528#14579138C2312yes—
529#14579138C2312yes—
530#14579138C2312yes—
531#14579138C2312yes—
532#14579138C2312yes—
533#14579137C2314yes—
534#14579137C2314yes—
535#14579137C2314yes—
536#14579137C2314yes—
537#14579136C2312yes—
538#14579136C2312yes—
539#14579135C2314yes—
540#14579135C2314yes—
541#14579135C2314yes—
542#14579135C2314yes—
543#14579135C2311yescharacteristic
544#14579135C2312yes—
545#14579135C2312yes—
546#14579135C2312yes—
547#14579135C2312yes—
548#14579135C2312yes—
549#14579135C2312yes—
550#14579135C2311yescharacteristic
551#14579134C2314yes—
552#14579134C2314yes—
553#14579134C2314yes—
554#14579134C2314yes—
555#14579134C2314yes—
556#14579134C2314yes—
557#14579134C2314yes—
558#14579134C2314yes—
559#14579133C2312yes—
560#14579133C2312yes—
561#14579133C2314yes—
562#14579133C2314yes—
563#14579133C2314yes—
564#14579133C2314yes—
565#14579133C2314yes—
566#14579133C2314yes—
567#14579133C2314yes—
568#14579133C2314yes—
569#14579133C2314yes—
570#14579133C2314yes—
571#14579133C2314yes—
572#14579133C2314yes—
573#14579133C2312yes—
574#14579133C2314yes—
575#14579133C2314yes—
576#14579133C2312yes—
577#14579132C2314yes—
578#14579132C2314yes—
579#14579132C2314yes—
580#14579132C2314yes—
581#14579132C2314yes—
582#14579132C2312yes—
583#14579132C2312yes—
584#14579131C2314yes—
585#14579130C2314yes—
586#14579130C2312yes—
587#14579129C2314yes—
588Q8×Dic79C2312yes—
589Q8×Dic79C2311yescharacteristic
590Q8×Dic79C2311yescharacteristic
591C4×Dic158C2312yes—
592C4×Dic158C2312yes—
593C4×Dic158C2314yes—
594C4×Dic158C2312yes—
595C4×Dic158C2312yes—
596C4×Dic158C2314yes—
597C4×Dic158C2312yes—
598C4×Dic158C2312yes—
599C4×Dic158C2312yes—
600C4×Dic158C2312yes—
601C4×Dic158C2312yes—
602C4×Dic158C2312yes—
603C4×Dic158C2312yes—
604C4×Dic158C2312yes—
605C4×Dic158C2312yes—
606C4×Dic158C2312yes—
607C4×Dic158C2312yes—
608C4×Dic158C2312yes—
609C4×Dic158C2312yes—
610C4×Dic158C2312yes—
611C4×Dic158C2312yes—
612#14579126C2312yes—
613#14579126C2314yes—
614#14579126C2314yes—
615#14579126C2312yes—
616#14579126C2312yes—
617#14579126C2311yescharacteristic
618#14579126C2311yescharacteristic
619C4×D316C2314yes—
620C4×D316C2312yes—
621C4×D316C2312yes—
622C4×D316C2312yes—
623C4×D316C2312yes—
624C4×D316C2314yes—
625C4×D316C2312yes—
626D4×Dic79C2314yes—
627D4×Dic79C2314yes—
628D4×Dic79C2314yes—
629D4×Dic79C2312yes—
630D4×Dic79C2312yes—
631D4×Dic79C2312yes—
632D4×Dic79C2312yes—
633D4×Dic79C2312yes—
634D4×Dic79C2312yes—
635D4×Dic79C2312yes—
636D4×Dic79C2312yes—
637D4×Dic79C2312yes—
638D4×Dic79C2312yes—
639D4×Dic79C2311yescharacteristic
640D4×Dic79C2312yes—
641D4×Dic79C2311yescharacteristic
642D4×Dic79C2312yes—
643D4×Dic79C2312yes—
644#14579123C2312yes—
645#14579123C2312yes—
646#14579123C2312yes—
647#14579123C2312yes—
648#14579123C2312yes—
649#14579123C2312yes—
650#14579123C2311yescharacteristic
651#14579123C2312yes—
652#14579123C2311yescharacteristic
653#14579123C2312yes—
654#14579123C2312yes—
655C4×C22⋊D79C2314yes—
656C4×C22⋊D79C2314yes—
657C4×C22⋊D79C2314yes—
658C4×C22⋊D79C2314yes—
659C4×C22⋊D79C2314yes—
660C4×C22⋊D79C2312yes—
661C4×C22⋊D79C2312yes—
662C4×C22⋊D79C2312yes—
663C4×C22⋊D79C2312yes—
664(C22⋊D79)⋊C4C2314yes—
665(C22⋊D79)⋊C4C2314yes—
666(C22⋊D79)⋊C4C2314yes—
667(C22⋊D79)⋊C4C2314yes—
668(C22⋊D79)⋊C4C2314yes—
669(C22⋊D79)⋊C4C2314yes—
670(C22⋊D79)⋊C4C2314yes—
671(C22⋊D79)⋊C4C2314yes—
672(C22⋊D79)⋊C4C2314yes—
673(C22⋊D79)⋊C4C2312yes—
674(C22⋊D79)⋊C4C2312yes—
675(C22⋊D79)⋊C4C2312yes—
676(C22⋊D79)⋊C4C2312yes—
677(C22⋊D79)⋊C4C2312yes—
678(C22⋊D79)⋊C4C2314yes—
679(C22⋊D79)⋊C4C2312yes—
680(C22⋊D79)⋊C4C2314yes—
681#14579120C2312yes—
682#14579120C2312yes—
683#14579120C2311yescharacteristic
684#14579120C2311yescharacteristic
685#14579120C2311yescharacteristic
686#14579120C2312yes—
687#14579120C2312yes—
688#14579120C2311yescharacteristic
689#14579120C2311yescharacteristic
690#14579119C2312yes—
691#14579119C2312yes—
692#14579119C2314yes—
693#14579119C2312yes—
694#14579119C2312yes—
695#14579118C2312yes—
696#14579118C2314yes—
697#14579118C2314yes—
698#14579117C2312yes—
699#14579117C2312yes—
700#14579117C2314yes—
701#14579117C2312yes—
702#14579117C2314yes—
703#14579117C2312yes—
704C2×C4⋊Dic79C2312yes—
705C2×C4⋊Dic79C2314yes—
706C2×C4⋊Dic79C2311yescharacteristic
707C2×C4⋊Dic79C2312yes—
708C2×C4⋊Dic79C2311yescharacteristic
709C2×C4⋊Dic79C2312yes—
710C2×C4⋊Dic79C2311yescharacteristic
711C2×Dic79⋊C4C2312yes—
712C2×Dic79⋊C4C2312yes—
713C2×Dic79⋊C4C2314yes—
714C2×Dic79⋊C4C2314yes—
715C2×Dic79⋊C4C2314yes—
716C2×Dic79⋊C4C2312yes—
717C2×Dic79⋊C4C2312yes—
718C2×Dic79⋊C4C2312yes—
719C4⋊C4×D79C2314yes—
720C4⋊C4×D79C2314yes—
721C4⋊C4×D79C2314yes—
722C4⋊C4×D79C2314yes—
723C4⋊C4×D79C2312yes—
724C4⋊C4×D79C2312yes—
725C2×C22⋊Dic79C2312yes—
726C2×C22⋊Dic79C2314yes—
727C2×C22⋊Dic79C2312yes—
728C2×(C2×D79)⋊C4C2312yes—
729C2×(C2×D79)⋊C4C2312yes—
730C22⋊C4×D79C2314yes—
731C22⋊C4×D79C2314yes—
732C2×C4×Dic79C2311yescharacteristic
733C2×C4×Dic79C2311yescharacteristic
734C2×C4×Dic79C2311yescharacteristic
735C2×C4×Dic79C2311yescharacteristic
736C2×C4×Dic79C2311yescharacteristic
737C2×C4×Dic79C2311yescharacteristic
738C2×C4×Dic79C2311yescharacteristic
739C2×C4×Dic79C2311yescharacteristic
740C2×C4×Dic79C2311yescharacteristic
741C2×C4×Dic79C2311yescharacteristic
742C2×C4×Dic79C2311yescharacteristic
743C2×C4×Dic79C2311yescharacteristic
744C2×C4×Dic79C2312yes—
745C2×C4×Dic79C2312yes—
746C42×D79C2312yes—
747C2×#41×C79C2311yescharacteristic
748C2×#41×C79C2314yes—
749C22×D4×C79C2311yescharacteristic
750C22×D4×C79C2312yes—
751C23×C4×C79C2311yescharacteristic
752C4⋊Q8×C79C2312yes—
753C4⋊Q8×C79C2312yes—
754#127×C79C2312yes—
755#126×C79C2314yes—
756#126×C79C2314yes—
757#125×C79C2312yes—
758#125×C79C2312yes—
759#124×C79C2314yes—
760#124×C79C2314yes—
761#124×C79C2312yes—
762#123×C79C2314yes—
763#123×C79C2314yes—
764#123×C79C2314yes—
765#123×C79C2314yes—
766#123×C79C2312yes—
767C22⋊Q8×C79C2314yes—
768C22⋊Q8×C79C2311yescharacteristic
769C22⋊Q8×C79C2314yes—
770C22⋊Q8×C79C2311yescharacteristic
771#121×C79C2314yes—
772#121×C79C2314yes—
773#121×C79C2314yes—
774#121×C79C2311yescharacteristic
775#121×C79C2312yes—
776#121×C79C2312yes—
777#121×C79C2312yes—
778#121×C79C2312yes—
779#121×C79C2312yes—
780#121×C79C2312yes—
781#121×C79C2311yescharacteristic
782#120×C79C2314yes—
783#120×C79C2312yes—
784C4×Q8×C79C2312yes—
785C4×D4×C79C2314yes—
786C4×D4×C79C2314yes—
787C4×D4×C79C2312yes—
788C4×D4×C79C2312yes—
789C4×D4×C79C2314yes—
790C4×D4×C79C2312yes—
791C4×D4×C79C2312yes—
792C4×D4×C79C2312yes—
793C4×D4×C79C2312yes—
794C4×D4×C79C2312yes—
795#117×C79C2312yes—
796#117×C79C2314yes—
797#117×C79C2311yescharacteristic
798#117×C79C2311yescharacteristic
799#117×C79C2312yes—
800#117×C79C2312yes—
801#117×C79C2311yescharacteristic
802#117×C79C2311yescharacteristic
803#117×C79C2311yescharacteristic
804C2×C4⋊C4×C79C2311yescharacteristic
805C2×C4⋊C4×C79C2312yes—
806C2×C4⋊C4×C79C2311yescharacteristic
807C2×C4⋊C4×C79C2311yescharacteristic
808C2×C22⋊C4×C79C2314yes—
809C2×C22⋊C4×C79C2312yes—
810C2×C22⋊C4×C79C2312yes—
811C2×C42×C79C2312yes—
812C23×D79C2412yes—
813#11929624—24no—
814#11929624—48no—
815#11929624—48no—
816#11929624—48no—
817#11929624—48no—
818#11929623—216no—
819#11929623—28no—
820#11929623—48no—
821#11929623—48no—
822#11929623—48no—
823#11929623—48no—
824#11929623—48no—
825#11929623—48no—
826#11929623—48no—
827#11929623—48no—
828#11929623—44no—
829C2×Dic158—28no—
830C2×Dic158—44no—
831C2×Dic158—44no—
832C2×Dic158—48no—
833C2×Dic158—48no—
834C2×Dic158C2412yes—
835C2×Dic158C2412yes—
836C2×Dic158C2412yes—
837C2×Dic158C2414yes—
838C2×Dic158C2412yes—
839C2×Dic158C2412yes—
840C2×Dic158C2412yes—
841C2×Dic158C2412yes—
842C2×Dic158C2411yescharacteristic
843C2×Dic158C2414yes—
844C2×Dic158C2414yes—
845C2×Dic158C2414yes—
846C2×Dic158C2414yes—
847C2×Dic158C2412yes—
848C2×Dic158C2412yes—
849C2×Dic158C2412yes—
850Q8×D79—48no—
851Q8×D79—48no—
852C2×D316—24no—
853C2×D316C2411yescharacteristic
854C2×D316C2412yes—
855C2×D316C2412yes—
856C2×D316C2414yes—
857C2×D316C2414yes—
858C2×C22⋊D79—44no—
859C2×C22⋊D79—44no—
860C2×C22⋊D79—44no—
861C2×C22⋊D79C2412yes—
862C2×C22⋊D79C2412yes—
863C2×C22⋊D79C2414yes—
864C2×C22⋊D79C2414yes—
865C2×C22⋊D79C2414yes—
866C2×C22⋊D79C2412yes—
867C2×C22⋊D79C2414yes—
868C2×C22⋊D79C2414yes—
869C2×C22⋊D79C2414yes—
870C2×C22⋊D79C2414yes—
871C2×C22⋊D79C2414yes—
872C2×C22⋊D79C2412yes—
873C2×C22⋊D79C2412yes—
874C2×C22⋊D79C2414yes—
875C2×C22⋊D79C2414yes—
876C22×Dic79—24no—
877C22×Dic79—44no—
878C22×Dic79—42no—
879C22×Dic79C2412yes—
880C22×Dic79C2411yescharacteristic
881C22×Dic79C2411yescharacteristic
882C22×Dic79C2412yes—
883C22×Dic79C2414yes—
884C22×Dic79C2411yescharacteristic
885C22×Dic79C2411yescharacteristic
886C22×Dic79C2411yescharacteristic
887C22×Dic79C2412yes—
888C22×Dic79C2411yescharacteristic
889C22×Dic79C2411yescharacteristic
890C22×Dic79C2411yescharacteristic
891C22×Dic79C2414yes—
892C22×Dic79C2414yes—
893C22×Dic79C2412yes—
894C22×Dic79C2412yes—
895C22×Dic79C2414yes—
896C22×Dic79C2414yes—
897C22×Dic79C2411yescharacteristic
898C22×Dic79C2411yescharacteristic
899C22×Dic79C2411yescharacteristic
900C22×Dic79C2411yescharacteristic
901C2×C4×D79—44no—
902C2×C4×D79C2412yes—
903C2×C4×D79C2414yes—
904C2×C4×D79C2412yes—
905C2×C4×D79C2412yes—
906C2×C4×D79C2414yes—
907C2×C4×D79C2414yes—
908C2×C4×D79C2414yes—
909C2×C4×D79C2414yes—
910C2×C4×D79C2414yes—
911C2×C4×D79C2414yes—
912C2×C4×D79C2414yes—
913C4⋊Dic79C2412yes—
914C4⋊Dic79C2411yescharacteristic
915C4⋊Dic79C2412yes—
916C4⋊Dic79C2412yes—
917C4⋊Dic79C2414yes—
918C4⋊Dic79C2414yes—
919C4⋊Dic79C2411yescharacteristic
920C4⋊Dic79C2412yes—
921C4⋊Dic79C2411yescharacteristic
922C4⋊Dic79C2411yescharacteristic
923C4⋊Dic79C2412yes—
924C4⋊Dic79C2412yes—
925C4⋊Dic79C2412yes—
926C4⋊Dic79C2414yes—
927C4⋊Dic79C2414yes—
928C4⋊Dic79C2412yes—
929C4⋊Dic79C2412yes—
930C4⋊Dic79C2412yes—
931C4⋊Dic79C2412yes—
932C4⋊Dic79C2412yes—
933C4⋊Dic79C2412yes—
934C4⋊Dic79C2412yes—
935C4⋊Dic79C2411yescharacteristic
936C4⋊Dic79C2411yescharacteristic
937C4⋊Dic79C2412yes—
938C4⋊Dic79C2412yes—
939Dic79⋊C4C2412yes—
940Dic79⋊C4C2412yes—
941Dic79⋊C4C2412yes—
942Dic79⋊C4C2412yes—
943Dic79⋊C4C2412yes—
944Dic79⋊C4C2414yes—
945Dic79⋊C4C2414yes—
946Dic79⋊C4C2414yes—
947Dic79⋊C4C2414yes—
948Dic79⋊C4C2414yes—
949Dic79⋊C4C2412yes—
950Dic79⋊C4C2412yes—
951Dic79⋊C4C2412yes—
952Dic79⋊C4C2414yes—
953Dic79⋊C4C2412yes—
954Dic79⋊C4C2414yes—
955Dic79⋊C4C2414yes—
956Dic79⋊C4C2414yes—
957Dic79⋊C4C2412yes—
958Dic79⋊C4C2414yes—
959Dic79⋊C4C2412yes—
960Dic79⋊C4C2412yes—
961Dic79⋊C4C2412yes—
962Dic79⋊C4C2412yes—
963Dic79⋊C4C2412yes—
964Dic79⋊C4C2412yes—
965Dic79⋊C4C2412yes—
966Dic79⋊C4C2412yes—
967Dic79⋊C4C2412yes—
968Dic79⋊C4C2412yes—
969Dic79⋊C4C2412yes—
970Dic79⋊C4C2412yes—
971Dic79⋊C4C2412yes—
972Dic79⋊C4C2412yes—
973Dic79⋊C4C2412yes—
974Dic79⋊C4C2412yes—
975C22⋊Dic79C2412yes—
976C22⋊Dic79C2412yes—
977C22⋊Dic79C2412yes—
978C22⋊Dic79C2412yes—
979C22⋊Dic79C2412yes—
980C22⋊Dic79C2414yes—
981C22⋊Dic79C2414yes—
982C22⋊Dic79C2414yes—
983C22⋊Dic79C2414yes—
984C22⋊Dic79C2412yes—
985C22⋊Dic79C2412yes—
986C22⋊Dic79C2414yes—
987C22⋊Dic79C2414yes—
988C22⋊Dic79C2412yes—
989C22⋊Dic79C2412yes—
990C22⋊Dic79C2412yes—
991C22⋊Dic79C2412yes—
992C22⋊Dic79C2414yes—
993(C2×D79)⋊C4C2414yes—
994(C2×D79)⋊C4C2414yes—
995(C2×D79)⋊C4C2414yes—
996(C2×D79)⋊C4C2414yes—
997(C2×D79)⋊C4C2414yes—
998(C2×D79)⋊C4C2414yes—
999(C2×D79)⋊C4C2414yes—
1000(C2×D79)⋊C4C2414yes—
1001(C2×D79)⋊C4C2414yes—
1002(C2×D79)⋊C4C2412yes—
1003(C2×D79)⋊C4C2412yes—
1004(C2×D79)⋊C4C2414yes—
1005(C2×D79)⋊C4C2414yes—
1006(C2×D79)⋊C4C2412yes—
1007(C2×D79)⋊C4C2412yes—
1008(C2×D79)⋊C4C2412yes—
1009(C2×D79)⋊C4C2412yes—
1010(C2×D79)⋊C4C2414yes—
1011(C2×D79)⋊C4C2414yes—
1012(C2×D79)⋊C4C2414yes—
1013C4×Dic79C2411yescharacteristic
1014C4×Dic79C2412yes—
1015C4×Dic79C2412yes—
1016C4×Dic79C2411yescharacteristic
1017C4×Dic79C2411yescharacteristic
1018C4×Dic79C2411yescharacteristic
1019C4×Dic79C2411yescharacteristic
1020C4×Dic79C2411yescharacteristic
1021C4×Dic79C2411yescharacteristic
1022C4×Dic79C2411yescharacteristic
1023C4×Dic79C2411yescharacteristic
1024C4×Dic79C2411yescharacteristic
1025C4×Dic79C2411yescharacteristic
1026C4×Dic79C2411yescharacteristic
1027C4×Dic79C2411yescharacteristic
1028C4×Dic79C2411yescharacteristic
1029C4×Dic79C2411yescharacteristic
1030C4×Dic79C2411yescharacteristic
1031C4×Dic79C2412yes—
1032C4×Dic79C2412yes—
1033C4×Dic79C2412yes—
1034C4×Dic79C2412yes—
1035C4×Dic79C2412yes—
1036C4×Dic79C2412yes—
1037C4×Dic79C2412yes—
1038C4×Dic79C2414yes—
1039C4×Dic79C2414yes—
1040C4×Dic79C2414yes—
1041C24×C79C2411yescharacteristic
1042C24×C79C2412yes—
1043#41×C79—24no—
1044#41×C79—48no—
1045C2×Q8×C79C2411yescharacteristic
1046C2×Q8×C79C2414yes—
1047C2×D4×C79—24no—
1048C2×D4×C79—44no—
1049C2×D4×C79C2412yes—
1050C2×D4×C79C2414yes—
1051C2×D4×C79C2412yes—
1052C2×D4×C79C2412yes—
1053C2×D4×C79C2412yes—
1054C2×D4×C79C2411yescharacteristic
1055C2×D4×C79C2414yes—
1056C2×D4×C79C2414yes—
1057C2×D4×C79C2412yes—
1058C2×D4×C79C2414yes—
1059C22×C4×C79—24no—
1060C22×C4×C79C2412yes—
1061C22×C4×C79C2411yescharacteristic
1062C22×C4×C79C2411yescharacteristic
1063C22×C4×C79C2411yescharacteristic
1064C22×C4×C79C2412yes—
1065C22×C4×C79C2411yescharacteristic
1066C22×C4×C79C2411yescharacteristic
1067C22×C4×C79C2414yes—
1068C22×C4×C79C2414yes—
1069C22×C4×C79C2412yes—
1070C22×C4×C79C2412yes—
1071C22×C4×C79C2414yes—
1072C22×C4×C79C2411yescharacteristic
1073C4⋊C4×C79C2411yescharacteristic
1074C4⋊C4×C79C2412yes—
1075C4⋊C4×C79C2411yescharacteristic
1076C4⋊C4×C79C2411yescharacteristic
1077C4⋊C4×C79C2411yescharacteristic
1078C4⋊C4×C79C2412yes—
1079C4⋊C4×C79C2412yes—
1080C4⋊C4×C79C2412yes—
1081C4⋊C4×C79C2414yes—
1082C4⋊C4×C79C2412yes—
1083C4⋊C4×C79C2411yescharacteristic
1084C4⋊C4×C79C2411yescharacteristic
1085C4⋊C4×C79C2414yes—
1086C4⋊C4×C79C2414yes—
1087C4⋊C4×C79C2414yes—
1088C4⋊C4×C79C2412yes—
1089C22⋊C4×C79C2412yes—
1090C22⋊C4×C79C2412yes—
1091C22⋊C4×C79C2412yes—
1092C22⋊C4×C79C2412yes—
1093C22⋊C4×C79C2412yes—
1094C22⋊C4×C79C2414yes—
1095C22⋊C4×C79C2414yes—
1096C22⋊C4×C79C2414yes—
1097C22⋊C4×C79C2414yes—
1098C22⋊C4×C79C2414yes—
1099C22⋊C4×C79C2414yes—
1100C22⋊C4×C79C2412yes—
1101C22⋊C4×C79C2412yes—
1102C22⋊C4×C79C2414yes—
1103C22⋊C4×C79C2412yes—
1104C22⋊C4×C79C2412yes—
1105C42×C79C2412yes—
1106C42×C79C2412yes—
1107C42×C79C2412yes—
1108C42×C79C2412yes—
1109C42×C79C2414yes—
1110C42×C79C2412yes—
1111C23×C79—22no—
1112C23×C79—22no—
1113C23×C79—24no—
1114C23×C79—41no—
1115C23×C79—42no—
1116C23×C79—42no—
1117C23×C79C2514yes—
1118C23×C79C2511yescharacteristic
1119C23×C79C2512yes—
1120C23×C79C2511yescharacteristic
1121C23×C79C2511yescharacteristic
1122C22×D79—24no—
1123C22×D79—42no—
1124C22×D79—42no—
1125C22×D79C2514yes—
1126C22×D79C2512yes—
1127Q8×C79—22no—
1128Q8×C79—44no—
1129D4×C79—28no—
1130D4×C79—24no—
1131D4×C79—24no—
1132D4×C79—24no—
1133D4×C79—24no—
1134D4×C79—22no—
1135D4×C79—44no—
1136D4×C79—44no—
1137D4×C79—42no—
1138D4×C79—44no—
1139C2×C4×C79—24no—
1140C2×C4×C79—22no—
1141C2×C4×C79—22no—
1142C2×C4×C79—22no—
1143C2×C4×C79—22no—
1144C2×C4×C79—22no—
1145C2×C4×C79—24no—
1146C2×C4×C79—42no—
1147C2×C4×C79—44no—
1148C2×C4×C79—44no—
1149C2×C4×C79—42no—
1150C2×C4×C79—44no—
1151C2×C4×C792−1+414yescomplemented
1152C2×C4×C79C2511yescharacteristic
1153C2×C4×C79C2512yes—
1154C2×C4×C79C2511yescharacteristic
1155C2×C4×C79C2512yes—
1156C2×C4×C79C2512yes—
1157C2×C4×C79C2512yes—
1158C2×C4×C79C2514yes—
1159C2×C4×C79C2512yes—
1160C2×C4×C79C2512yes—
1161C2×C4×C79C2512yes—
1162C2×C4×C79C2511yescharacteristic
1163C2×C4×C79C2511yescharacteristic
1164C22⋊D79—28no—
1165C22⋊D79—24no—
1166C22⋊D79—24no—
1167C22⋊D79—28no—
1168C22⋊D79—24no—
1169C22⋊D79—28no—
1170C22⋊D79—44no—
1171C22⋊D79—44no—
1172C22⋊D79—44no—
1173C22⋊D79—44no—
1174C22⋊D79—42no—
1175C22⋊D79—42no—
1176C22⋊D79—44no—
1177C22⋊D79—44no—
1178C22⋊D79—44no—
1179C2×Dic79—22no—
1180C2×Dic79—24no—
1181C2×Dic79—22no—
1182C2×Dic79—22no—
1183C2×Dic79—22no—
1184C2×Dic79—22no—
1185C2×Dic79—28no—
1186C2×Dic79—24no—
1187C2×Dic79—22no—
1188C2×Dic79—22no—
1189C2×Dic79—22no—
1190C2×Dic79—24no—
1191C2×Dic79—41no—
1192C2×Dic79—41no—
1193C2×Dic79—41no—
1194C2×Dic79—42no—
1195C2×Dic79—44no—
1196C2×Dic79—42no—
1197C2×Dic79—44no—
1198C2×Dic79—44no—
1199C2×Dic79—44no—
1200C2×Dic79H(5,𝔽2)14yes—
1201C2×Dic79C2512yes—
1202C2×Dic79C2511yescharacteristic
1203C2×Dic79C2512yes—
1204C2×Dic79C2511yescharacteristic
1205C2×Dic79C2512yes—
1206C2×Dic79C2511yescharacteristic
1207C2×Dic79C2511yescharacteristic
1208C2×Dic79C2511yescharacteristic
1209C2×Dic79C2512yes—
1210C2×Dic79C2512yes—
1211C2×Dic79C2514yes—
1212C2×Dic79C2512yes—
1213C2×Dic79C2512yes—
1214C2×Dic79C2511yescharacteristic
1215C2×Dic79C2511yescharacteristic
1216C2×Dic79C2511yescharacteristic
1217D316—24no—
1218D316—24no—
1219D316—22no—
1220D316—44no—
1221D316—44no—
1222C4×D79—24no—
1223C4×D79—28no—
1224C4×D79—24no—
1225C4×D79—24no—
1226C4×D79—44no—
1227C4×D79—44no—
1228C4×D79—44no—
1229C4×D79—44no—
1230C4×D79—44no—
1231C4×D79—44no—
1232C4×D79—44no—
1233Dic158—22no—
1234Dic158—24no—
1235Dic158—24no—
1236Dic158—24no—
1237Dic158—28no—
1238Dic158—24no—
1239Dic158—24no—
1240Dic158—24no—
1241Dic158—24no—
1242Dic158—44no—
1243Dic158—44no—
1244Dic158—44no—
1245Dic158—42no—
1246Dic158—42no—
1247Dic158—44no—
1248Dic158—42no—
1249C22×C79—21no—
1250C22×C79—21no—
1251C22×C79—21no—
1252C22×C79—21no—
1253C22×C79—22no—
1254C22×C79—24no—
1255C22×C79—21no—
1256C22×C79—21no—
1257C22×C79—22no—
1258C22×C79—24no—
1259C22×C79—24no—
1260C22×C79—22no—
1261C22×C79—21no—
1262C22×C79—44no—
1263C22×C79—84no—
1264C22×C79C2×H(5,𝔽2)12yes—
1265C22×C79C2×2−1+412yes—
1266C22×C79C2611yescharacteristic
1267C2×D79—24no—
1268C2×D79—22no—
1269C2×D79—22no—
1270C2×D79—24no—
1271C2×D79—24no—
1272C2×D79—22no—
1273C2×D79—84no—
1274C4×C79—22no—
1275C4×C79—22no—
1276C4×C79—24no—
1277C4×C79—22no—
1278C4×C79—21no—
1279C4×C79—21no—
1280C4×C79—22no—
1281C4×C79—22no—
1282C4×C79—22no—
1283C4×C79—22no—
1284C4×C79C2×2−1+412yes—
1285C4×C79C2×2−1+412yes—
1286Dic79—24no—
1287Dic79—22no—
1288Dic79—21no—
1289Dic79—22no—
1290Dic79—22no—
1291Dic79—21no—
1292Dic79—22no—
1293Dic79—21no—
1294Dic79—22no—
1295Dic79—22no—
1296Dic79—21no—
1297Dic79—22no—
1298Dic79—21no—
1299Dic79C2×H(5,𝔽2)12yes—
1300Dic79C2×H(5,𝔽2)12yes—
1301Dic79#58512yes—
1302#62835—791nomaximal, Sylow
1303C2×C79—22no—
1304C2×C79—22no—
1305C2×C79—42no—
1306C2×C79—41no—
1307C2×C79—44no—
1308C2×C79C22×H(5,𝔽2)11yescharacteristic
1309C2×C79C22×2−1+411yescharacteristic
1310C2×C79C2×#58511yescharacteristic
1311D79—42no—
1312D79—44no—
1313#3561—794no—
1314#3559—792no—
1315#3559—792no—
1316#3554—792no—
1317#3554—792no—
1318#3550—792no—
1319#3548—792no—
1320#3547—792no—
1321#3547—792no—
1322#3536—794no—
1323#3522—792no—
1324#3522—792no—
1325#3520—794no—
1326#3511—792no—
1327#3511—792no—
1328#3511—792no—
1329#3508—791no—
1330#3508—791no—
1331#3507—792no—
1332#3506—791no—
1333#3506—791no—
1334#3503—791no—
1335#3503—791no—
1336#3501—791no—
1337#3501—791no—
1338#3499—792no—
1339#3497—792no—
1340#3494—791no—
1341#3494—791no—
1342#3494—791no—
1343#3494D7911yescharacteristic, complemented
1344#3489—794no—
1345#3444—791no—
1346C2×#533—791no—
1347C2×#532—791no—
1348C79#6283511yescharacteristic, complemented, Sylow
1349C2×2−1+4—794no—
1350C22×#41—792no—
1351#563—794no—
1352#563—794no—
1353#562—794no—
1354#562—794no—
1355#562—794no—
1356#562—794no—
1357#562—794no—
1358#562—794no—
1359#559—792no—
1360#559—792no—
1361#559—792no—
1362#559—792no—
1363#559—792no—
1364#559—792no—
1365#559—792no—
1366#559—792no—
1367Q82—792no—
1368Q82—792no—
1369#557—792no—
1370#557—792no—
1371#556—794no—
1372#556—794no—
1373#556—792no—
1374#556—792no—
1375#556—794no—
1376#555—792no—
1377#555—792no—
1378#555—792no—
1379#555—792no—
1380#555—792no—
1381#555C2×D7912yescomplemented
1382#554—792no—
1383#554—792no—
1384#554—792no—
1385#554—792no—
1386#554—792no—
1387#554—792no—
1388#554—792no—
1389#554—794no—
1390#554—792no—
1391#554—792no—
1392#554—794no—
1393#554—792no—
1394#554—792no—
1395#554—792no—
1396#554—792no—
1397#554—792no—
1398#553—792no—
1399#553—792no—
1400#553—792no—
1401#553—792no—
1402#553—792no—
1403#553—792no—
1404#553—792no—
1405#553—792no—
1406#553—792no—
1407#553—792no—
1408#553C2×D7912yescomplemented
1409#553C2×D7912yescomplemented
1410#552—794no—
1411#552—794no—
1412#551—794no—
1413#551—794no—
1414#551—794no—
1415#551C2×D7914yes—
1416#550—792no—
1417#550—792no—
1418#550—792no—
1419#550—792no—
1420#550—792no—
1421#550—792no—
1422D4×Q8—792no—
1423D4×Q8—792no—
1424D4×Q8—792no—
1425D4×Q8—794no—
1426D4×Q8—794no—
1427D4×Q8—794no—
1428D4×Q8—792no—
1429D4×Q8—792no—
1430D4×Q8—792no—
1431#548—794no—
1432#548—794no—
1433#548—794no—
1434#548—794no—
1435#548—794no—
1436#548—794no—
1437#548—794no—
1438#548—794no—
1439#547—794no—
1440#547—794no—
1441#547—794no—
1442#547—794no—
1443#547—794no—
1444#547—794no—
1445#547—794no—
1446#547—794no—
1447#547—794no—
1448#547—792no—
1449#547—792no—
1450#547—794no—
1451#547—792no—
1452#547—792no—
1453#547—792no—
1454#547C2×D7912yescomplemented
1455#546—794no—
1456#546—794no—
1457#546—794no—
1458#546—794no—
1459#546—794no—
1460#546—794no—
1461#546—794no—
1462#546C2×D7914yes—
1463#544—792no—
1464#544—792no—
1465#544—791no—
1466#544—791no—
1467#544—792no—
1468#544—791no—
1469#544—792no—
1470#544C2×D7911yescharacteristic
1471#543—794no—
1472#543—794no—
1473#542—794no—
1474#542—794no—
1475#542—794no—
1476#542—794no—
1477#542—794no—
1478#542—794no—
1479#542—794no—
1480#542—794no—
1481#542—792no—
1482#542—792no—
1483#542—794no—
1484#542—792no—
1485#542—794no—
1486#542C2×D7912yescomplemented
1487#540—792no—
1488#540—792no—
1489#540—792no—
1490#540—792no—
1491#540—792no—
1492#540—792no—
1493#540—792no—
1494#540C2×D7912yescomplemented
1495#539—794no—
1496#539—794no—
1497#539—794no—
1498#539—794no—
1499#539—794no—
1500#539—794no—
1501#538—794no—
1502#538—794no—
1503#537—794no—
1504#537—794no—
1505#537—794no—
1506#537—794no—
1507#537—794no—
1508#537—794no—
1509#537—794no—
1510#536—794no—
1511#536—794no—
1512#536—794no—
1513#536—794no—
1514#536—794no—
1515#535—791no—
1516#535—791no—
1517#535—791no—
1518#535C2×D7911yescharacteristic
1519#533—792no—
1520#533—791no—
1521#533—791no—
1522#533—791no—
1523#533—791no—
1524#533—791no—
1525#533—791no—
1526#533—791no—
1527#533—791no—
1528#533—792no—
1529#533—791no—
1530#533—791no—
1531#533—792no—
1532#533—792no—
1533#533—792no—
1534#533—791no—
1535#533—792no—
1536#532—791no—
1537#532—792no—
1538#532—792no—
1539#532—792no—
1540#532—792no—
1541#532—792no—
1542#532—792no—
1543#532—792no—
1544#532—792no—
1545#532—791no—
1546#532—791no—
1547#532—792no—
1548#532—792no—
1549#532—792no—
1550#532—792no—
1551#532—792no—
1552#532—792no—
1553#532—792no—
1554#532C2×D7912yescomplemented
1555C2×C4⋊Q8—792no—
1556C2×C4⋊Q8—791no—
1557C2×C4⋊Q8—791no—
1558C2×C4⋊Q8—791no—
1559C2×C4⋊Q8—792no—
1560C2×#127—791no—
1561#529—792no—
1562#529—792no—
1563#529—791no—
1564#529—791no—
1565#529—792no—
1566#529—791no—
1567#529—791no—
1568#529—792no—
1569#529—792no—
1570#529—792no—
1571#529—792no—
1572#529C2×D7912yescomplemented
1573C2×#125—791no—
1574C2×#125—791no—
1575C2×#124—792no—
1576#525—791no—
1577#525—792no—
1578#525—792no—
1579#525—794no—
1580#525—794no—
1581#525C2×D7911yescharacteristic
1582C2×C22⋊Q8—794no—
1583C2×C22⋊Q8—792no—
1584C2×C22⋊Q8—792no—
1585C2×C22⋊Q8—794no—
1586C2×#121—792no—
1587C2×#121—791no—
1588C2×#121C2×D7911yescharacteristic
1589#520—791no—
1590#520—794no—
1591#520—794no—
1592#520—791no—
1593#520—794no—
1594#520—791no—
1595#520C2×D7911yescharacteristic
1596#518—791no—
1597#518—791no—
1598#518—791no—
1599#518C2×D7911yescharacteristic
1600C4×#41—791no—
1601C4×#41—792no—
1602C4×#41—792no—
1603C4×#41—791no—
1604C2×C4×Q8—792no—
1605C2×C4×Q8—792no—
1606C2×C4×D4—791no—
1607C2×C4×D4—791no—
1608C2×C4×D4—792no—
1609C2×#117—791no—
1610C2×#117C2×D7911yescharacteristic
1611C22×C42—791no—
16122−1+4—31616no—
1613C2×#41—3168no—
1614C2×#41—792no—
1615C2×#41—794no—
1616C2×#41—794no—
1617C2×#41—794no—
1618C2×#41—794no—
1619C2×#41—794no—
1620C2×#41—794no—
1621C2×#41—794no—
1622C2×#41—794no—
1623C2×#41—792no—
1624C2×#41—794no—
1625C2×#41—794no—
1626C2×#41—794no—
1627C2×#41—794no—
1628C2×#41—794no—
1629C2×#41—791no—
1630C2×#41C22×D7911yescharacteristic
1631C2×#41C22×D7914yes—
1632C22×Q8—794no—
1633C22×Q8—794no—
1634C22×Q8—792no—
1635C22×Q8—794no—
1636C22×Q8—792no—
1637C22×Q8—794no—
1638C22×Q8—792no—
1639C22×D4—792no—
1640C22×D4—792no—
1641C22×D4—792no—
1642C22×D4—791no—
1643C22×D4C22×D7911yescharacteristic
1644C22×D4C22×D7912yes—
1645C23×C4—792no—
1646C23×C4—791no—
1647C23×C4—792no—
1648C23×C4—791no—
1649C23×C4C22×D7911yescharacteristic
1650C4⋊Q8—794no—
1651C4⋊Q8—791no—
1652C4⋊Q8—794no—
1653C4⋊Q8—791no—
1654C4⋊Q8—792no—
1655C4⋊Q8—791no—
1656C4⋊Q8—791no—
1657C4⋊Q8—791no—
1658C4⋊Q8—792no—
1659C4⋊Q8—792no—
1660C4⋊Q8—792no—
1661C4⋊Q8—792no—
1662C4⋊Q8—792no—
1663C4⋊Q8—792no—
1664C4⋊Q8—791no—
1665C4⋊Q8—791no—
1666C4⋊Q8—792no—
1667C4⋊Q8—791no—
1668C4⋊Q8—791no—
1669C4⋊Q8—794no—
1670C4⋊Q8—794no—
1671C4⋊Q8—794no—
1672C4⋊Q8—792no—
1673C4⋊Q8—792no—
1674C4⋊Q8—791no—
1675C4⋊Q8—791no—
1676C4⋊Q8—792no—
1677C4⋊Q8—792no—
1678C4⋊Q8—794no—
1679C4⋊Q8—794no—
1680C4⋊Q8—792no—
1681C4⋊Q8—792no—
1682C4⋊Q8—794no—
1683C4⋊Q8C22×D7912yes—
1684C4⋊Q8C22×D7912yes—
1685#127—792no—
1686#127—792no—
1687#127—792no—
1688#127—792no—
1689#127—791no—
1690#127—792no—
1691#127—792no—
1692#127—792no—
1693#127C22×D7912yes—
1694#126—792no—
1695#126—792no—
1696#126—794no—
1697#126—794no—
1698#126—794no—
1699#126—794no—
1700#126—792no—
1701#126—792no—
1702#126—794no—
1703#126—794no—
1704#126—794no—
1705#126—794no—
1706#126—794no—
1707#126—794no—
1708#126C22×D7914yes—
1709#126C22×D7914yes—
1710#125—792no—
1711#125—792no—
1712#125—791no—
1713#125—791no—
1714#125—791no—
1715#125—791no—
1716#125—791no—
1717#125—791no—
1718#125—791no—
1719#125—791no—
1720#125—792no—
1721#125—792no—
1722#125—792no—
1723#125—791no—
1724#125—791no—
1725#125—792no—
1726#125—792no—
1727#125—792no—
1728#125—792no—
1729#125—792no—
1730#125—794no—
1731#125—794no—
1732#125—794no—
1733#125—792no—
1734#125—792no—
1735#125—794no—
1736#125C22×D7912yes—
1737#125C22×D7912yes—
1738#124—791no—
1739#124—792no—
1740#124—791no—
1741#124—792no—
1742#124—794no—
1743#124—794no—
1744#124—794no—
1745#124—794no—
1746#124—794no—
1747#124—794no—
1748#124—792no—
1749#124—792no—
1750#124—794no—
1751#124—794no—
1752#124—794no—
1753#124—794no—
1754#124—794no—
1755#124—794no—
1756#124—794no—
1757#124—794no—
1758#124—794no—
1759#124—794no—
1760#124—792no—
1761#124—794no—
1762#124—794no—
1763#124C22×D7912yes—
1764#124C22×D7914yes—
1765#124C22×D7914yes—
1766#123—792no—
1767#123—792no—
1768#123—794no—
1769#123—794no—
1770#123—794no—
1771#123—794no—
1772#123—792no—
1773#123—794no—
1774#123—794no—
1775#123—794no—
1776#123—794no—
1777#123—794no—
1778#123—794no—
1779#123—794no—
1780#123—794no—
1781#123—792no—
1782#123—792no—
1783#123—794no—
1784#123—794no—
1785#123—794no—
1786#123—794no—
1787#123—794no—
1788#123—794no—
1789#123—794no—
1790#123—794no—
1791#123—794no—
1792#123—794no—
1793#123—794no—
1794#123—794no—
1795#123—794no—
1796#123—794no—
1797#123—794no—
1798#123—794no—
1799#123C22×D7912yes—
1800#123C22×D7914yes—
1801#123C22×D7914yes—
1802#123C22×D7914yes—
1803#123C22×D7914yes—
1804C22⋊Q8—794no—
1805C22⋊Q8—794no—
1806C22⋊Q8—794no—
1807C22⋊Q8—794no—
1808C22⋊Q8—794no—
1809C22⋊Q8—791no—
1810C22⋊Q8—791no—
1811C22⋊Q8—794no—
1812C22⋊Q8—794no—
1813C22⋊Q8—794no—
1814C22⋊Q8—794no—
1815C22⋊Q8—794no—
1816C22⋊Q8—794no—
1817C22⋊Q8—794no—
1818C22⋊Q8—794no—
1819C22⋊Q8—794no—
1820C22⋊Q8—794no—
1821C22⋊Q8—794no—
1822C22⋊Q8—794no—
1823C22⋊Q8—794no—
1824C22⋊Q8—794no—
1825C22⋊Q8—794no—
1826C22⋊Q8—794no—
1827C22⋊Q8—794no—
1828C22⋊Q8—794no—
1829C22⋊Q8—794no—
1830C22⋊Q8—794no—
1831C22⋊Q8—794no—
1832C22⋊Q8—794no—
1833C22⋊Q8—794no—
1834C22⋊Q8—792no—
1835C22⋊Q8—792no—
1836C22⋊Q8—792no—
1837C22⋊Q8—792no—
1838C22⋊Q8—792no—
1839C22⋊Q8—792no—
1840C22⋊Q8—792no—
1841C22⋊Q8—792no—
1842C22⋊Q8—792no—
1843C22⋊Q8—792no—
1844C22⋊Q8—792no—
1845C22⋊Q8—792no—
1846C22⋊Q8—792no—
1847C22⋊Q8—792no—
1848C22⋊Q8—792no—
1849C22⋊Q8—792no—
1850C22⋊Q8—792no—
1851C22⋊Q8—794no—
1852C22⋊Q8—794no—
1853C22⋊Q8—794no—
1854C22⋊Q8—794no—
1855C22⋊Q8—794no—
1856C22⋊Q8—794no—
1857C22⋊Q8—792no—
1858C22⋊Q8—792no—
1859C22⋊Q8—792no—
1860C22⋊Q8—794no—
1861C22⋊Q8—794no—
1862C22⋊Q8—794no—
1863C22⋊Q8—794no—
1864C22⋊Q8—794no—
1865C22⋊Q8—794no—
1866C22⋊Q8—794no—
1867C22⋊Q8—794no—
1868C22⋊Q8—794no—
1869C22⋊Q8—794no—
1870C22⋊Q8C22×D7914yes—
1871C22⋊Q8C22×D7911yescharacteristic
1872C22⋊Q8C22×D7911yescharacteristic
1873C22⋊Q8C22×D7914yes—
1874#121—794no—
1875#121—794no—
1876#121—794no—
1877#121—794no—
1878#121—792no—
1879#121—792no—
1880#121—792no—
1881#121—792no—
1882#121—794no—
1883#121—792no—
1884#121—792no—
1885#121—794no—
1886#121—794no—
1887#121—794no—
1888#121—794no—
1889#121—794no—
1890#121—794no—
1891#121—794no—
1892#121—794no—
1893#121—794no—
1894#121—794no—
1895#121—794no—
1896#121—794no—
1897#121—794no—
1898#121—794no—
1899#121—792no—
1900#121—792no—
1901#121—792no—
1902#121—792no—
1903#121—791no—
1904#121—791no—
1905#121—792no—
1906#121—792no—
1907#121—794no—
1908#121—794no—
1909#121—794no—
1910#121—794no—
1911#121—792no—
1912#121—792no—
1913#121—794no—
1914#121—794no—
1915#121—794no—
1916#121—794no—
1917#121—794no—
1918#121—794no—
1919#121—794no—
1920#121—794no—
1921#121C22×D7912yes—
1922#121C22×D7912yes—
1923#121C22×D7912yes—
1924#121C22×D7912yes—
1925#121C22×D7911yescharacteristic
1926#121C22×D7911yescharacteristic
1927#121C22×D7912yes—
1928#121C22×D7912yes—
1929#121C22×D7914yes—
1930#121C22×D7914yes—
1931#121C22×D7914yes—
1932#120—792no—
1933#120—794no—
1934#120—794no—
1935#120—794no—
1936#120C22×D7912yes—
1937#120C22×D7914yes—
1938C4×Q8—791no—
1939C4×Q8—791no—
1940C4×Q8—792no—
1941C4×Q8—792no—
1942C4×Q8—792no—
1943C4×Q8—791no—
1944C4×Q8—791no—
1945C4×Q8—792no—
1946C4×Q8—794no—
1947C4×Q8—794no—
1948C4×Q8—792no—
1949C4×Q8—792no—
1950C4×Q8—792no—
1951C4×Q8—792no—
1952C4×Q8—792no—
1953C4×Q8—792no—
1954C4×Q8—792no—
1955C4×Q8—792no—
1956C4×Q8—792no—
1957C4×Q8—792no—
1958C4×Q8—792no—
1959C4×Q8—792no—
1960C4×Q8—792no—
1961C4×Q8—792no—
1962C4×Q8—792no—
1963C4×Q8—792no—
1964C4×Q8—792no—
1965C4×Q8—792no—
1966C4×Q8—792no—
1967C4×Q8—794no—
1968C4×Q8—794no—
1969C4×Q8C22×D7912yes—
1970C4×D4—792no—
1971C4×D4—792no—
1972C4×D4—792no—
1973C4×D4—792no—
1974C4×D4—792no—
1975C4×D4—792no—
1976C4×D4—792no—
1977C4×D4—792no—
1978C4×D4—791no—
1979C4×D4—791no—
1980C4×D4—792no—
1981C4×D4—792no—
1982C4×D4—792no—
1983C4×D4—792no—
1984C4×D4—794no—
1985C4×D4—794no—
1986C4×D4—794no—
1987C4×D4—792no—
1988C4×D4—792no—
1989C4×D4—792no—
1990C4×D4—792no—
1991C4×D4—792no—
1992C4×D4—794no—
1993C4×D4—794no—
1994C4×D4—794no—
1995C4×D4—794no—
1996C4×D4—794no—
1997C4×D4—792no—
1998C4×D4—792no—
1999C4×D4—792no—
2000C4×D4—792no—
2001C4×D4—791no—
2002C4×D4—791no—
2003C4×D4—792no—
2004C4×D4—792no—
2005C4×D4—792no—
2006C4×D4—792no—
2007C4×D4—792no—
2008C4×D4—794no—
2009C4×D4—794no—
2010C4×D4—794no—
2011C4×D4—794no—
2012C4×D4—792no—
2013C4×D4—792no—
2014C4×D4—792no—
2015C4×D4—792no—
2016C4×D4—792no—
2017C4×D4—792no—
2018C4×D4—794no—
2019C4×D4—794no—
2020C4×D4—794no—
2021C4×D4—794no—
2022C4×D4—794no—
2023C4×D4—794no—
2024C4×D4—794no—
2025C4×D4—792no—
2026C4×D4—792no—
2027C4×D4—792no—
2028C4×D4—792no—
2029C4×D4—794no—
2030C4×D4—792no—
2031C4×D4—794no—
2032C4×D4C22×D7912yes—
2033C4×D4C22×D7912yes—
2034C4×D4C22×D7912yes—
2035C4×D4C22×D7912yes—
2036C4×D4C22×D7912yes—
2037C4×D4C22×D7912yes—
2038C4×D4C22×D7914yes—
2039C4×D4C22×D7914yes—
2040C4×D4C22×D7914yes—
2041C4×D4C22×D7912yes—
2042#117—791no—
2043#117—791no—
2044#117—792no—
2045#117—792no—
2046#117—791no—
2047#117—791no—
2048#117—791no—
2049#117—792no—
2050#117—792no—
2051#117—792no—
2052#117—792no—
2053#117—794no—
2054#117—792no—
2055#117—792no—
2056#117—792no—
2057#117—792no—
2058#117—792no—
2059#117—792no—
2060#117—794no—
2061#117—794no—
2062#117—792no—
2063#117—794no—
2064#117—794no—
2065#117C22×D7911yescharacteristic
2066#117C22×D7911yescharacteristic
2067#117C22×D7912yes—
2068#117C22×D7912yes—
2069#117C22×D7911yescharacteristic
2070#117C22×D7911yescharacteristic
2071#117C22×D7911yescharacteristic
2072#117C22×D7914yes—
2073#117C22×D7912yes—
2074C2×C4⋊C4—791no—
2075C2×C4⋊C4—791no—
2076C2×C4⋊C4—791no—
2077C2×C4⋊C4—792no—
2078C2×C4⋊C4—792no—
2079C2×C4⋊C4—792no—
2080C2×C4⋊C4—792no—
2081C2×C4⋊C4—792no—
2082C2×C4⋊C4—792no—
2083C2×C4⋊C4—792no—
2084C2×C4⋊C4—794no—
2085C2×C4⋊C4—794no—
2086C2×C4⋊C4—794no—
2087C2×C4⋊C4—794no—
2088C2×C4⋊C4—792no—
2089C2×C4⋊C4—794no—
2090C2×C4⋊C4—794no—
2091C2×C4⋊C4—794no—
2092C2×C4⋊C4—794no—
2093C2×C4⋊C4—792no—
2094C2×C4⋊C4—792no—
2095C2×C4⋊C4C22×D7911yescharacteristic
2096C2×C4⋊C4C22×D7911yescharacteristic
2097C2×C4⋊C4C22×D7911yescharacteristic
2098C2×C4⋊C4C22×D7912yes—
2099C2×C22⋊C4—792no—
2100C2×C22⋊C4—792no—
2101C2×C22⋊C4—794no—
2102C2×C22⋊C4—792no—
2103C2×C22⋊C4—792no—
2104C2×C22⋊C4—794no—
2105C2×C22⋊C4—794no—
2106C2×C22⋊C4C22×D7912yes—
2107C2×C22⋊C4C22×D7912yes—
2108C2×C22⋊C4C22×D7914yes—
2109C2×C42—792no—
2110C2×C42—791no—
2111C2×C42—791no—
2112C2×C42—791no—
2113C2×C42—791no—
2114C2×C42—792no—
2115C2×C42—791no—
2116C2×C42—791no—
2117C2×C42—791no—
2118C2×C42—791no—
2119C2×C42—791no—
2120C2×C42—791no—
2121C2×C42—791no—
2122C2×C42—791no—
2123C2×C42—792no—
2124C2×C42C22×D7912yes—
2125C24—792no—
2126C24C23×D7911yescharacteristic
2127C24C23×D7912yes—
2128#41—24no—
2129#41—48no—
2130#41—3168no—
2131#41—3168no—
2132#41—3168no—
2133#41—3168no—
2134#41—3168no—
2135#41—3168no—
2136#41—3168no—
2137#41—3168no—
2138#41—3168no—
2139#41—3168no—
2140#41—3168no—
2141#41—3168no—
2142#41—3164no—
2143#41—15816no—
2144#41—1588no—
2145#41—1584no—
2146C2×Q8—3164no—
2147C2×Q8—3164no—
2148C2×Q8—3168no—
2149C2×Q8—3168no—
2150C2×Q8—3168no—
2151C2×Q8—3168no—
2152C2×Q8—792no—
2153C2×Q8—792no—
2154C2×Q8—792no—
2155C2×Q8—794no—
2156C2×Q8—794no—
2157C2×Q8—794no—
2158C2×Q8—794no—
2159C2×Q8—791no—
2160C2×Q8—792no—
2161C2×Q8—792no—
2162C2×Q8—792no—
2163C2×Q8—792no—
2164C2×Q8—792no—
2165C2×Q8—794no—
2166C2×Q8—792no—
2167C2×Q8—792no—
2168C2×Q8—1588no—
2169C2×Q8C23×D7911yescharacteristic
2170C2×Q8C23×D7914yes—
2171C2×D4—24no—
2172C2×D4—44no—
2173C2×D4—3164no—
2174C2×D4—3164no—
2175C2×D4—3164no—
2176C2×D4—792no—
2177C2×D4—794no—
2178C2×D4—794no—
2179C2×D4—792no—
2180C2×D4—794no—
2181C2×D4—794no—
2182C2×D4—794no—
2183C2×D4—794no—
2184C2×D4—794no—
2185C2×D4—792no—
2186C2×D4—794no—
2187C2×D4—792no—
2188C2×D4—794no—
2189C2×D4—792no—
2190C2×D4—794no—
2191C2×D4—794no—
2192C2×D4—794no—
2193C2×D4—792no—
2194C2×D4—792no—
2195C2×D4—791no—
2196C2×D4—1584no—
2197C2×D4C23×D7912yes—
2198C2×D4C23×D7912yes—
2199C2×D4C23×D7912yes—
2200C2×D4C23×D7911yescharacteristic
2201C2×D4C23×D7912yes—
2202C2×D4C23×D7914yes—
2203C2×D4C23×D7912yes—
2204C2×D4C23×D7914yes—
2205C2×D4C23×D7914yes—
2206C2×D4C23×D7914yes—
2207C22×C4—24no—
2208C22×C4—3164no—
2209C22×C4—3162no—
2210C22×C4—3164no—
2211C22×C4—791no—
2212C22×C4—791no—
2213C22×C4—791no—
2214C22×C4—792no—
2215C22×C4—792no—
2216C22×C4—794no—
2217C22×C4—794no—
2218C22×C4—794no—
2219C22×C4—794no—
2220C22×C4—794no—
2221C22×C4—794no—
2222C22×C4—794no—
2223C22×C4—794no—
2224C22×C4—794no—
2225C22×C4—794no—
2226C22×C4—794no—
2227C22×C4—791no—
2228C22×C4—791no—
2229C22×C4—791no—
2230C22×C4—791no—
2231C22×C4—791no—
2232C22×C4—791no—
2233C22×C4—791no—
2234C22×C4—791no—
2235C22×C4—791no—
2236C22×C4—792no—
2237C22×C4—792no—
2238C22×C4—792no—
2239C22×C4—794no—
2240C22×C4—792no—
2241C22×C4—792no—
2242C22×C4—792no—
2243C22×C4—794no—
2244C22×C4—1584no—
2245C22×C4C23×D7911yescharacteristic
2246C22×C4C23×D7911yescharacteristic
2247C22×C4C23×D7911yescharacteristic
2248C22×C4C23×D7911yescharacteristic
2249C22×C4C23×D7911yescharacteristic
2250C22×C4C23×D7912yes—
2251C22×C4C23×D7912yes—
2252C22×C4C23×D7912yes—
2253C22×C4C23×D7912yes—
2254C22×C4C23×D7914yes—
2255C22×C4C23×D7914yes—
2256C22×C4C23×D7914yes—
2257C22×C4C23×D7911yescharacteristic
2258C4⋊C4—792no—
2259C4⋊C4—792no—
2260C4⋊C4—792no—
2261C4⋊C4—792no—
2262C4⋊C4—794no—
2263C4⋊C4—792no—
2264C4⋊C4—792no—
2265C4⋊C4—792no—
2266C4⋊C4—792no—
2267C4⋊C4—794no—
2268C4⋊C4—794no—
2269C4⋊C4—792no—
2270C4⋊C4—792no—
2271C4⋊C4—794no—
2272C4⋊C4—794no—
2273C4⋊C4—794no—
2274C4⋊C4—794no—
2275C4⋊C4—794no—
2276C4⋊C4—794no—
2277C4⋊C4—794no—
2278C4⋊C4—792no—
2279C4⋊C4—792no—
2280C4⋊C4—792no—
2281C4⋊C4—792no—
2282C4⋊C4—792no—
2283C4⋊C4—792no—
2284C4⋊C4—792no—
2285C4⋊C4—792no—
2286C4⋊C4—792no—
2287C4⋊C4—792no—
2288C4⋊C4—792no—
2289C4⋊C4—792no—
2290C4⋊C4—792no—
2291C4⋊C4—792no—
2292C4⋊C4—792no—
2293C4⋊C4—792no—
2294C4⋊C4—792no—
2295C4⋊C4—791no—
2296C4⋊C4—792no—
2297C4⋊C4—791no—
2298C4⋊C4—792no—
2299C4⋊C4—792no—
2300C4⋊C4—794no—
2301C4⋊C4—791no—
2302C4⋊C4—791no—
2303C4⋊C4—792no—
2304C4⋊C4—792no—
2305C4⋊C4—792no—
2306C4⋊C4—794no—
2307C4⋊C4—794no—
2308C4⋊C4—794no—
2309C4⋊C4—792no—
2310C4⋊C4—792no—
2311C4⋊C4—792no—
2312C4⋊C4—792no—
2313C4⋊C4—792no—
2314C4⋊C4—792no—
2315C4⋊C4—791no—
2316C4⋊C4—791no—
2317C4⋊C4—792no—
2318C4⋊C4—792no—
2319C4⋊C4—792no—
2320C4⋊C4C23×D7911yescharacteristic
2321C4⋊C4C23×D7914yes—
2322C4⋊C4C23×D7912yes—
2323C4⋊C4C23×D7914yes—
2324C4⋊C4C23×D7914yes—
2325C4⋊C4C23×D7911yescharacteristic
2326C4⋊C4C23×D7911yescharacteristic
2327C4⋊C4C23×D7911yescharacteristic
2328C4⋊C4C23×D7912yes—
2329C4⋊C4C23×D7912yes—
2330C4⋊C4C23×D7912yes—
2331C4⋊C4C23×D7914yes—
2332C4⋊C4C23×D7912yes—
2333C4⋊C4C23×D7912yes—
2334C4⋊C4C23×D7911yescharacteristic
2335C4⋊C4C23×D7911yescharacteristic
2336C22⋊C4—792no—
2337C22⋊C4—792no—
2338C22⋊C4—792no—
2339C22⋊C4—792no—
2340C22⋊C4—792no—
2341C22⋊C4—794no—
2342C22⋊C4—794no—
2343C22⋊C4—794no—
2344C22⋊C4—794no—
2345C22⋊C4—792no—
2346C22⋊C4—792no—
2347C22⋊C4—794no—
2348C22⋊C4—794no—
2349C22⋊C4—792no—
2350C22⋊C4—792no—
2351C22⋊C4—792no—
2352C22⋊C4—794no—
2353C22⋊C4—792no—
2354C22⋊C4—794no—
2355C22⋊C4—794no—
2356C22⋊C4—794no—
2357C22⋊C4—794no—
2358C22⋊C4—794no—
2359C22⋊C4—794no—
2360C22⋊C4—794no—
2361C22⋊C4—794no—
2362C22⋊C4—792no—
2363C22⋊C4—792no—
2364C22⋊C4—794no—
2365C22⋊C4—794no—
2366C22⋊C4—794no—
2367C22⋊C4—794no—
2368C22⋊C4—792no—
2369C22⋊C4—792no—
2370C22⋊C4—794no—
2371C22⋊C4—794no—
2372C22⋊C4—792no—
2373C22⋊C4—792no—
2374C22⋊C4C23×D7912yes—
2375C22⋊C4C23×D7912yes—
2376C22⋊C4C23×D7912yes—
2377C22⋊C4C23×D7914yes—
2378C22⋊C4C23×D7912yes—
2379C22⋊C4C23×D7912yes—
2380C22⋊C4C23×D7914yes—
2381C22⋊C4C23×D7914yes—
2382C22⋊C4C23×D7914yes—
2383C22⋊C4C23×D7912yes—
2384C22⋊C4C23×D7912yes—
2385C22⋊C4C23×D7914yes—
2386C22⋊C4C23×D7912yes—
2387C22⋊C4C23×D7912yes—
2388C22⋊C4C23×D7914yes—
2389C22⋊C4C23×D7914yes—
2390C42—791no—
2391C42—791no—
2392C42—791no—
2393C42—791no—
2394C42—791no—
2395C42—791no—
2396C42—791no—
2397C42—791no—
2398C42—791no—
2399C42—791no—
2400C42—791no—
2401C42—791no—
2402C42—791no—
2403C42—791no—
2404C42—791no—
2405C42—791no—
2406C42—792no—
2407C42—792no—
2408C42—792no—
2409C42—792no—
2410C42—792no—
2411C42—792no—
2412C42—792no—
2413C42—792no—
2414C42—792no—
2415C42—794no—
2416C42—794no—
2417C42—794no—
2418C42C23×D7912yes—
2419C42C23×D7912yes—
2420C42C23×D7912yes—
2421C42C23×D7912yes—
2422C42C23×D7912yes—
2423C42C23×D7914yes—
2424C23—22no—
2425C23—22no—
2426C23—24no—
2427C23—41no—
2428C23—42no—
2429C23—42no—
2430C23—3162no—
2431C23—3162no—
2432C23—794no—
2433C23—792no—
2434C23—1584no—
2435C23C24×D7914yes—
2436C23C24×D7911yescharacteristic
2437C23C24×D7912yes—
2438C23C24×D7911yescharacteristic
2439C23C24×D7911yescharacteristic
2440Q8—22no—
2441Q8—44no—
2442Q8—3164no—
2443Q8—3164no—
2444Q8—3164no—
2445Q8—3164no—
2446Q8—3162no—
2447Q8—3162no—
2448Q8—3162no—
2449Q8—1584no—
2450Q8—1588no—
2451Q8—1584no—
2452Q8—1584no—
2453Q8—1584no—
2454Q8—1584no—
2455Q8—1584no—
2456Q8—1584no—
2457Q8—1582no—
2458D4—28no—
2459D4—24no—
2460D4—24no—
2461D4—24no—
2462D4—24no—
2463D4—22no—
2464D4—44no—
2465D4—44no—
2466D4—42no—
2467D4—44no—
2468D4—3164no—
2469D4—3164no—
2470D4—3164no—
2471D4—3164no—
2472D4—3164no—
2473D4—3162no—
2474D4—3164no—
2475D4—3164no—
2476D4—3162no—
2477D4—3164no—
2478D4—3164no—
2479D4—1588no—
2480D4—1588no—
2481D4—1584no—
2482D4—1588no—
2483D4—1584no—
2484D4—1584no—
2485D4—1584no—
2486D4—1584no—
2487D4—1582no—
2488C2×C4—24no—
2489C2×C4—22no—
2490C2×C4—22no—
2491C2×C4—22no—
2492C2×C4—22no—
2493C2×C4—22no—
2494C2×C4—24no—
2495C2×C4—42no—
2496C2×C4—42no—
2497C2×C4—44no—
2498C2×C4—44no—
2499C2×C4—44no—
2500C2×C4—3164no—
2501C2×C4—3164no—
2502C2×C4—3164no—
2503C2×C4—3164no—
2504C2×C4—3164no—
2505C2×C4—3164no—
2506C2×C4—3164no—
2507C2×C4—3162no—
2508C2×C4—3164no—
2509C2×C4—3161no—
2510C2×C4—3161no—
2511C2×C4—3161no—
2512C2×C4—3164no—
2513C2×C4—3164no—
2514C2×C4—3162no—
2515C2×C4—3164no—
2516C2×C4—794no—
2517C2×C4—791no—
2518C2×C4—791no—
2519C2×C4—791no—
2520C2×C4—792no—
2521C2×C4—791no—
2522C2×C4—792no—
2523C2×C4—792no—
2524C2×C4—791no—
2525C2×C4—791no—
2526C2×C4—791no—
2527C2×C4—791no—
2528C2×C4—792no—
2529C2×C4—792no—
2530C2×C4—792no—
2531C2×C4—792no—
2532C2×C4—794no—
2533C2×C4—1588no—
2534C2×C4—1584no—
2535C2×C4—1584no—
2536C2×C4—1582no—
2537C2×C4—1582no—
2538C2×C4—1582no—
2539C2×C4—1588no—
2540C2×C4—1582no—
2541C2×C4—1582no—
2542C2×C4—1582no—
2543C2×C4—1582no—
2544C2×C4—1584no—
2545C2×C4—1584no—
2546C2×C4—1582no—
2547C2×C4—1584no—
2548C2×C4—1584no—
2549C2×C4#1457920814yescomplemented
2550C2×C4C24×D7911yescharacteristic
2551C2×C4C24×D7912yes—
2552C2×C4C24×D7911yescharacteristic
2553C2×C4C24×D7912yes—
2554C2×C4C24×D7912yes—
2555C2×C4C24×D7912yes—
2556C2×C4C24×D7914yes—
2557C2×C4C24×D7912yes—
2558C2×C4C24×D7912yes—
2559C2×C4C24×D7912yes—
2560C2×C4C24×D7911yescharacteristic
2561C2×C4C24×D7911yescharacteristic
2562C22—21no—
2563C22—21no—
2564C22—21no—
2565C22—21no—
2566C22—22no—
2567C22—24no—
2568C22—21no—
2569C22—21no—
2570C22—22no—
2571C22—24no—
2572C22—24no—
2573C22—21no—
2574C22—22no—
2575C22—44no—
2576C22—84no—
2577C22—6324no—
2578C22—1582no—
2579C22—1584no—
2580C22—1582no—
2581C22—1584no—
2582C22—1584no—
2583C22—1582no—
2584C22H(5,𝔽2)×D7912yes—
2585C22C2×#1457920812yes—
2586C22C25×D7911yescharacteristic
2587C4—22no—
2588C4—22no—
2589C4—24no—
2590C4—22no—
2591C4—21no—
2592C4—21no—
2593C4—22no—
2594C4—22no—
2595C4—22no—
2596C4—22no—
2597C4—792no—
2598C4—792no—
2599C4—792no—
2600C4—1581no—
2601C4—1582no—
2602C4—1582no—
2603C4—1584no—
2604C4—1582no—
2605C4—1581no—
2606C4—1582no—
2607C4—1582no—
2608C4—1582no—
2609C4—1582no—
2610C4—1581no—
2611C4—1581no—
2612C4—1581no—
2613C4C2×#1457920812yes—
2614C4C2×#1457920812yes—
2615C2—22no—
2616C2—22no—
2617C2—41no—
2618C2—44no—
2619C2—42no—
2620C2—3164no—
2621C2—3162no—
2622C2C2×H(5,𝔽2)×D7911yescharacteristic
2623C2C22×#1457920811yescharacteristic
2624C2#585×D7911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3494C2
hypercenter#3494D79
hypocenterC79#62835
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3494

Complements

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

NH ≅ G/Ntype
1. #23777958C2semidirect
2. #23777932C2semidirect
3. #23777929C2semidirect
4. #23777869C2semidirect
5. #23777861C2semidirect
6. #23777808C2semidirect
7. #23777794C2semidirect
8. #23777784C2semidirect
9. #23777776C2semidirect
10. #23777615C2semidirect
11. #23777483C2semidirect
12. #23777477C2semidirect
13. #23777438C2semidirect
14. #23777302C2semidirect
15. #23777302C2semidirect
16. #23777300C2semidirect
17. #23777275C2semidirect
18. #23777271C2semidirect
19. #23777256C2semidirect
20. #23777251C2semidirect
21. #23777245C2semidirect
22. #23777215C2semidirect
23. #23777213C2semidirect
24. #23777202C2semidirect
25. #23777198C2semidirect
26. #23777179C2semidirect
27. #23777166C2semidirect
28. #23777137C2semidirect
29. #23777135C2semidirect
30. #23777129C2semidirect
31. #23777071C2semidirect
32. #23776692C2semidirect
33. C2×#19099116C2semidirect
34. C2×#19099108C2semidirect
35. C79×#3494C2semidirect
36. C2×#14579208C22semidirect
38. #19099315C22semidirect
39. #19099314C22semidirect
40. #19099310C22semidirect
41. #19099310C22semidirect
42. #19099310C22semidirect
43. #19099308C22semidirect
44. #19099308C22semidirect
45. #19099307C22semidirect
46. #19099299C22semidirect
47. #19099298C22semidirect
48. #19099296C22semidirect
49. #19099296C22semidirect
50. #19099296C22semidirect
51. #19099295C22semidirect
52. #19099295C22semidirect
53. #19099295C22semidirect
54. Q8×Dic158C22semidirect
55. #19099293C22semidirect
56. #19099290C22semidirect
57. #19099289C22semidirect
58. #19099285C22semidirect
59. #19099282C22semidirect
60. #19099281C22semidirect
61. #19099280C22semidirect
62. #19099280C22semidirect
63. #19099278C22semidirect
64. #19099277C22semidirect
65. #19099277C22semidirect
66. #19099276C22semidirect
67. #19099276C22semidirect
68. #19099274C22semidirect
69. #19099274C22semidirect
71. #19099272C22semidirect
72. #19099272C22semidirect
73. #19099272C22semidirect
74. #19099272C22semidirect
75. #19099272C22semidirect
76. #19099270C22semidirect
77. #19099270C22semidirect
78. #19099269C22semidirect
79. #19099269C22semidirect
80. #19099269C22semidirect
81. #19099269C22semidirect
82. #19099269C22semidirect
84. #19099265C22semidirect
85. #19099265C22semidirect
86. #19099261C22semidirect
87. #19099261C22semidirect
88. #19099260C22semidirect
89. #19099260C22semidirect
90. #19099259C22semidirect
91. #19099259C22semidirect
92. #19099257C22semidirect
93. #19099257C22semidirect
94. #19099249C22semidirect
95. #19099246C22semidirect
99. #19099234C22semidirect
100. #19099234C22semidirect
101. #19099234C22semidirect
102. #19099233C22semidirect
103. #19099233C22semidirect
104. #19099233C22semidirect
106. D4×Dic158C22semidirect
107. D4×Dic158C22semidirect
108. D4×Dic158C22semidirect
109. #19099228C22semidirect
110. #19099228C22semidirect
111. #19099228C22semidirect
113. #19099226C22semidirect
114. #19099222C22semidirect
115. #19099222C22semidirect
116. #19099222C22semidirect
117. #19099221C22semidirect
118. #19099221C22semidirect
119. #19099221C22semidirect
120. #19099219C22semidirect
121. #19099219C22semidirect
122. #19099217C22semidirect
123. #19099217C22semidirect
124. #19099214C22semidirect
125. #19099214C22semidirect
126. #19099213C22semidirect
127. #19099213C22semidirect
128. #19099213C22semidirect
129. #19099213C22semidirect
130. #19099212C22semidirect
131. #19099212C22semidirect
132. #19099211C22semidirect
133. #19099211C22semidirect
134. #19099211C22semidirect
135. #19099211C22semidirect
136. #19099211C22semidirect
145. #19099194C22semidirect
146. #19099193C22semidirect
149. #19099191C22semidirect
150. #19099190C22semidirect
153. #19099186C22semidirect
154. #19099184C22semidirect
155. #19099184C22semidirect
156. #19099181C22semidirect
157. #19099181C22semidirect
158. #19099180C22semidirect
159. #19099179C22semidirect
160. #19099179C22semidirect
161. #19099179C22semidirect
162. #19099178C22semidirect
163. #19099177C22semidirect
164. #19099177C22semidirect
165. #19099177C22semidirect
166. #19099168C22semidirect
167. #19099166C22semidirect
168. #19099166C22semidirect
169. #19099166C22semidirect
170. #19099166C22semidirect
171. #19099164C22semidirect
172. #19099164C22semidirect
173. #19099162C22semidirect
174. #19099157C22semidirect
175. #19099157C22semidirect
176. #19099156C22semidirect
177. #19099155C22semidirect
178. #19099154C22semidirect
181. #19099142C22semidirect
182. #19099142C22semidirect
183. #19099141C22semidirect
184. #19099140C22semidirect
185. #19099140C22semidirect
186. #19099140C22semidirect
187. #19099140C22semidirect
188. #19099136C22semidirect
189. #19099135C22semidirect
190. #19099135C22semidirect
191. #19099135C22semidirect
192. #19099133C22semidirect
196. #19099119C22semidirect
204. #19099116C22semidirect
205. #19099116C22semidirect
206. #19099116C22semidirect
207. #19099116C22semidirect
208. #19099116C22semidirect
209. #19099116C22semidirect
210. #19099116C22semidirect
211. #19099115C22semidirect
212. #19099115C22semidirect
213. #19099113C22semidirect
214. #19099110C22semidirect
215. #19099110C22semidirect
225. #19099108C22semidirect
226. #19099108C22semidirect
227. #19099108C22semidirect
228. #19099108C22semidirect
229. #19099108C22semidirect
230. #19099108C22semidirect
232. C2×#14579160C22semidirect
233. C2×#14579160C22semidirect
234. C2×#14579160C22semidirect
235. C4⋊Q8×D79C22semidirect
237. #19099099C22semidirect
238. #19099099C22semidirect
239. #19099099C22semidirect
240. #19099097C22semidirect
241. #19099094C22semidirect
242. #19099094C22semidirect
243. #19099094C22semidirect
244. #19099093C22semidirect
245. #19099093C22semidirect
248. C2×#14579152C22semidirect
249. C2×#14579152C22semidirect
265. #19099043C22semidirect
266. #19099042C22semidirect
267. #19099042C22semidirect
273. C4×#11929623C22semidirect
274. C4×#11929623C22semidirect
275. C2×C4×Dic158C22semidirect
276. C2×C4×Dic158C22semidirect
282. #555×C79C22semidirect
283. #553×C79C22semidirect
284. #553×C79C22semidirect
286. #547×C79C22semidirect
289. #542×C79C22semidirect
290. #540×C79C22semidirect
292. #532×C79C22semidirect
293. #529×C79C22semidirect
1151. C2×C4×C792−1+4semidirect
1343. #3494D79semidirect
1348. C79#62835semidirect
1381. #555C2×D79semidirect
1408. #553C2×D79semidirect
1409. #553C2×D79semidirect
1454. #547C2×D79semidirect
1486. #542C2×D79semidirect
1494. #540C2×D79semidirect
1554. #532C2×D79semidirect
1572. #529C2×D79semidirect
2549. C2×C4#14579208semidirect

Maximal subgroups

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

subgroupindex
#237779582
#237779322
#237779292
#237778692
#237778612
#237778082
#237777942
#237777842
#237777762
#237776152
#237774832
#237774772
#237774382
#237773022
#237773002
#237772752
#237772712
#237772562
#237772512
#237772452
#237772152
#237772132
#237772022
#237771982
#237771792
#237771662
#237771372
#237771352
#237771292
#237770712
#237766922
C2×#190991162
C2×#190991082
C79×#34942
#6283579