Finite Group Databasebeta

← #35197180

Subgroups — #35197180

Order 20224.

7148 conjugacy classes of subgroups.

The subgroup lattice has 2634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777971C212yesmaximal, complemented
2#23777961C212yesmaximal, complemented
3#23777926C214yesmaximal, complemented
4#23777873C211yesmaximal, characteristic, complemented
5#23777871C211yesmaximal, characteristic, complemented
6#23777865C211yesmaximal, characteristic, complemented
7#23777808C212yesmaximal, complemented
8#23777794C212yesmaximal, complemented
9#23777780C214yesmaximal, complemented
10#23777619C214yesmaximal, complemented
11#23777484C212yesmaximal, complemented
12#23777482C212yesmaximal, complemented
13#23777441C214yesmaximal, complemented
14#23777310C212yesmaximal, complemented
15#23777306C212yesmaximal, complemented
16#23777305C212yesmaximal, complemented
17#23777273C211yesmaximal, characteristic, complemented
18#23777270C211yesmaximal, characteristic, complemented
19#23777266C211yesmaximal, characteristic, complemented
20#23777257C211yesmaximal, characteristic, complemented
21#23777248C212yesmaximal, complemented
22#23777217C211yesmaximal, characteristic, complemented
23#23777211C211yesmaximal, characteristic, complemented
24#23777199C212yesmaximal, complemented
25#23777182C212yesmaximal, complemented
26#23777170C211yesmaximal, characteristic, complemented
27#23777165C211yesmaximal, characteristic, complemented
28#23777133C212yesmaximal, complemented
29#23777127C212yesmaximal, complemented
30#23777079C212yesmaximal, complemented
31#23777074C212yesmaximal, complemented
32#23776694C211yesmaximal, characteristic, complemented
33#533×D79C211yesmaximal, characteristic, complemented
34#532×D79C211yesmaximal, characteristic, complemented
35C79×#3554C211yesmaximal, characteristic, complemented
36C2×#14579209C2212yescomplemented
37C2×#14579208C2212yescomplemented
38C2×#41×D79C2212yes—
39#19099315C2214yescomplemented
40#19099314C2214yescomplemented
41#19099310C2214yescomplemented
42#19099310C2214yescomplemented
43#19099310C2214yescomplemented
44#19099309C2214yescomplemented
45#19099308C2214yescomplemented
46#19099299C2211yescharacteristic, complemented
47#19099298C2212yescomplemented
48#19099298C2211yescharacteristic, complemented
49#19099298C2211yescharacteristic, complemented
50#19099296C2212yescomplemented
51#19099296C2212yescomplemented
52#19099295C2212yescomplemented
53#19099295C2212yescomplemented
54Q8×Dic158C2212yescomplemented
55#19099293C2212yescomplemented
56#19099292C2211yescharacteristic, complemented
57#19099291C2211yescharacteristic, complemented
58#19099288C2211yescharacteristic, complemented
59#19099287C2212yescomplemented
60#19099285C2212yescomplemented
61#19099285C2212yescomplemented
62#19099283C2212yescomplemented
63#19099282C2212yescomplemented
64#19099282C2212yescomplemented
65#19099280C2214yescomplemented
66#19099277C2214yescomplemented
67#19099275C2214yescomplemented
68#19099275C2214yescomplemented
69#19099273C2212yescomplemented
70#19099272C2212yescomplemented
71#19099272C2212yescomplemented
72#19099272C2212yescomplemented
73#19099269C2214yes—
74#19099269C2212yescomplemented
75#19099269C2212yescomplemented
76#19099269C2212yescomplemented
77#19099268C2214yescomplemented
78#19099267C2214yes—
79#19099267C2214yescomplemented
80#19099267C2214yescomplemented
81#19099264C2214yescomplemented
82#19099262C2214yescomplemented
83#19099258C2214yescomplemented
84#19099258C2214yescomplemented
85#19099258C2214yescomplemented
86#19099256C2214yescomplemented
87#19099250C2214yescomplemented
88#19099245C2214yescomplemented
89#19099241C2214yes—
90#19099240C2214yes—
91#19099238C2214yes—
92#19099236C2214yes—
93#19099235C2211yescharacteristic, complemented
94#19099234C2212yescomplemented
95#19099234C2212yescomplemented
96#19099234C2211yescharacteristic, complemented
97#19099233C2212yescomplemented
98#19099233C2212yescomplemented
99#19099233C2211yescharacteristic, complemented
100Q8×D316C2212yes—
101Q8×D316C2211yescharacteristic, complemented
102D4×Dic158C2212yescomplemented
103D4×Dic158C2211yescharacteristic, complemented
104#19099228C2212yes—
105#19099228C2212yescomplemented
106#19099228C2211yescharacteristic, complemented
107Q8×C22⋊D79C2212yes—
108#19099226C2212yes—
109#19099226C2214yescomplemented
110#19099226C2214yescomplemented
111#19099224C2212yescomplemented
112#19099223C2214yescomplemented
113#19099223C2212yescomplemented
114#19099223C2212yescomplemented
115#19099223C2214yescomplemented
116#19099222C2212yescomplemented
117#19099221C2214yescomplemented
118#19099220C2212yescomplemented
119#19099220C2212yescomplemented
120#19099219C2212yescomplemented
121#19099219C2214yescomplemented
122#19099218C2212yescomplemented
123#19099218C2214yescomplemented
124#19099215C2212yescomplemented
125#19099215C2214yescomplemented
126#19099215C2214yescomplemented
127#19099215C2214yescomplemented
128#19099214C2214yescomplemented
129#19099212C2212yescomplemented
130#19099211C2214yescomplemented
131#19099211C2214yescomplemented
132#19099211C2214yescomplemented
133#19099211C2214yescomplemented
134#19099211C2214yescomplemented
135#19099211C2214yescomplemented
136#19099210C2214yes—
137#19099210C2212yes—
138#19099208C2212yes—
139#19099206C2214yes—
140#19099206C2212yes—
141#19099205C2214yes—
142#19099205C2214yes—
143#19099202C2214yes—
144#19099202C2214yes—
145#19099201C2212yes—
146#19099193C2212yes—
147#19099193C2214yescomplemented
148#19099192C2214yescomplemented
149#19099190C2212yes—
150#19099188C2214yes—
151#19099188C2214yes—
152#19099187C2212yescomplemented
153#19099186C2212yescomplemented
154#19099186C2214yescomplemented
155#19099184C2212yescomplemented
156#19099184C2212yescomplemented
157#19099183C2214yescomplemented
158#19099183C2214yescomplemented
159#19099182C2212yescomplemented
160#19099182C2214yescomplemented
161#19099181C2214yescomplemented
162#19099181C2214yescomplemented
163#19099181C2214yescomplemented
164#19099180C2212yescomplemented
165#19099177C2214yescomplemented
166#19099168C2212yescomplemented
167#19099166C2212yescomplemented
168#19099166C2212yescomplemented
169#19099165C2214yescomplemented
170#19099163C2214yescomplemented
171#19099161C2214yescomplemented
172#19099161C2214yescomplemented
173#19099156C2214yescomplemented
174#19099155C2214yescomplemented
175#19099154C2214yescomplemented
176#19099149C2214yes—
177#19099147C2214yes—
178#19099143C2212yescomplemented
179#19099143C2214yescomplemented
180#19099142C2214yescomplemented
181#19099142C2214yescomplemented
182#19099142C2212yescomplemented
183#19099142C2214yescomplemented
184#19099140C2214yescomplemented
185#19099140C2214yescomplemented
186#19099139C2212yescomplemented
187#19099138C2212yescomplemented
188#19099138C2212yescomplemented
189#19099135C2214yescomplemented
190#19099133C2214yescomplemented
191#19099133C2212yescomplemented
192#19099133C2212yescomplemented
193#19099131C2212yes—
194#19099126C2212yes—
195#19099120C2211yescharacteristic, complemented
196#19099119C2212yes—
197#19099119C2211yescharacteristic
198#19099118C2211yescharacteristic
199#19099118C2211yescharacteristic
200#19099117C2212yes—
201#19099117C2211yescharacteristic
202#19099117C2211yescharacteristic
203#19099117C2212yescomplemented
204#19099117C2211yescharacteristic, complemented
205#19099116C2212yescomplemented
206#19099115C2211yescharacteristic, complemented
207#19099115C2212yescomplemented
208#19099115C2211yescharacteristic, complemented
209#19099115C2211yescharacteristic, complemented
210#19099115C2212yescomplemented
211#19099114C2211yescharacteristic
212#19099114C2212yescomplemented
213#19099113C2211yescharacteristic
214#19099112C2212yes—
215#19099112C2211yescharacteristic
216#19099112C2212yescomplemented
217#19099111C2211yescharacteristic
218#19099111C2212yescomplemented
219#19099110C2212yes—
220#19099110C2212yes—
221#19099110C2212yescomplemented
222#19099110C2212yescomplemented
223#19099110C2212yescomplemented
224#19099110C2211yescharacteristic, complemented
225#19099109C2212yes—
226#19099109C2212yescomplemented
227#19099108C2212yes—
228#19099108C2212yes—
229#19099108C2211yescharacteristic, complemented
230#19099108C2212yescomplemented
231C2×#14579159C2212yescomplemented
232C4⋊Q8×D79C2211yescharacteristic
233C4⋊Q8×D79C2211yescharacteristic, complemented
234C4⋊Q8×D79C2212yescomplemented
235C4⋊Q8×D79C2211yescharacteristic, complemented
236#127×D79C2211yescharacteristic
237#19099100C2212yescomplemented
238#19099098C2212yescomplemented
239#19099098C2211yescharacteristic, complemented
240#19099097C2211yescharacteristic, complemented
241#19099096C2212yes—
242#19099096C2212yescomplemented
243#19099095C2212yescomplemented
244#19099092C2212yescomplemented
245#19099092C2211yescharacteristic, complemented
246#19099091C2212yes—
247#19099090C2212yescomplemented
248#125×D79C2212yescomplemented
249#124×D79C2212yes—
250#19099076C2211yescharacteristic
251#19099073C2211yescharacteristic
252#19099072C2212yes—
253#19099072C2214yes—
254#19099071C2214yes—
255#19099071C2212yes—
256C2×#14579139C2214yes—
257C22⋊Q8×D79C2211yescharacteristic
258C22⋊Q8×D79C2211yescharacteristic
259C22⋊Q8×D79C2214yes—
260C22⋊Q8×D79C2212yes—
261#121×D79C2212yes—
262#121×D79C2212yes—
263#19099045C2212yes—
264#19099045C2212yescomplemented
265#19099044C2214yescomplemented
266#19099042C2212yes—
267#19099042C2212yescomplemented
268#19099042C2214yescomplemented
269#19099035C2212yes—
270#19099035C2212yes—
271C4×#11929625C2211yescharacteristic
272#19099031C2212yescomplemented
273C4×#11929623C2211yescharacteristic
274C4×#11929623C2212yescomplemented
275C4×Q8×D79C2211yescharacteristic, complemented
276C4×Q8×D79C2211yescharacteristic, complemented
277C4×Q8×D79C2212yescomplemented
278C4×D4×D79C2212yes—
279C4×D4×D79C2212yes—
280#117×D79C2212yes—
281C2×C42×D79C2211yescharacteristic
282#562×C79C2214yescomplemented
283#559×C79C2212yescomplemented
284#559×C79C2211yescharacteristic, complemented
285#557×C79C2211yescharacteristic, complemented
286#554×C79C2212yescomplemented
287#550×C79C2211yescharacteristic, complemented
288D4×Q8×C79C2211yescharacteristic, complemented
289#548×C79C2212yescomplemented
290#547×C79C2212yescomplemented
291#542×C79C2212yescomplemented
292#542×C79C2212yescomplemented
293#540×C79C2212yescomplemented
294#539×C79C2214yescomplemented
295#536×C79C2212yescomplemented
296#533×C79C2211yescharacteristic, complemented
297#532×C79C2211yescharacteristic
298#529×C79C2211yescharacteristic, complemented
299#14579209—48no—
300#14579208—48no—
301C2×#11929625C2312yes—
302C2×#11929625C2311yescharacteristic
303C2×#11929625C2312yes—
304C2×#11929625C2314yes—
305C2×#11929624C2312yes—
306C2×#11929624C2312yes—
307C2×#11929624C2314yes—
308C2×#11929624C2314yes—
309C2×#11929624C2314yes—
310C2×#11929624C2314yes—
311C2×#11929624C2314yes—
312C2×#11929624C2312yes—
313C2×#11929623C2312yes—
314C2×#11929623C2311yescharacteristic
315C2×#11929623C2312yes—
316C2×#11929623C2314yes—
317C2×#11929623C2314yes—
318C2×#11929623C2314yes—
319C2×#11929623C2314yes—
320C2×#11929623C2312yes—
321#41×D79—48no—
322C22×Dic158C2312yes—
323C22×Dic158C2314yes—
324C2×Q8×D79C2311yescharacteristic
325C2×Q8×D79C2311yescharacteristic
326C2×Q8×D79C2312yes—
327C2×Q8×D79C2312yes—
328C2×Q8×D79C2314yes—
329C2×Q8×D79C2312yes—
330C2×Q8×D79C2312yes—
331C2×D4×D79C2312yes—
332C2×D4×D79C2312yes—
333C2×D4×D79C2312yes—
334C2×D4×D79C2314yes—
335C22×C4×D79C2311yescharacteristic
336C22×C4×D79C2311yescharacteristic
337C22×C4×D79C2311yescharacteristic
338C22×C4×D79C2314yes—
339#14579161C2311yescharacteristic
340#14579161C2312yes—
341#14579161C2311yescharacteristic
342#14579161C2314yes—
343#14579161C2312yes—
344#14579161C2311yescharacteristic
345#14579160C2312yes—
346#14579160C2314yes—
347#14579160C2314yes—
348#14579160C2312yes—
349#14579160C2314yes—
350#14579160C2312yes—
351#14579160C2314yes—
352#14579160C2312yes—
353#14579160C2312yes—
354#14579160C2312yes—
355#14579160C2311yescharacteristic
356#14579160C2311yescharacteristic
357#14579160C2312yes—
358#14579160C2311yescharacteristic
359#14579160C2311yescharacteristic
360#14579159C2312yes—
361#14579159C2312yes—
362#14579159C2314yes—
363#14579159C2314yes—
364#14579159C2314yes—
365#14579159C2312yes—
366#14579159C2311yescharacteristic
367#14579159C2312yes—
368#14579159C2311yescharacteristic
369#14579159C2311yescharacteristic
370#14579158C2312yes—
371#14579158C2311yescharacteristic
372#14579157C2312yes—
373#14579157C2312yes—
374#14579157C2312yes—
375#14579157C2311yescharacteristic
376#14579157C2312yes—
377#14579157C2312yes—
378#14579156C2314yes—
379#14579156C2314yes—
380#14579156C2314yes—
381#14579156C2314yes—
382#14579156C2312yes—
383#14579156C2314yes—
384#14579155C2314yes—
385#14579155C2312yes—
386#14579154C2314yes—
387#14579154C2314yes—
388#14579154C2314yes—
389#14579154C2312yes—
390#14579154C2314yes—
391#14579154C2314yes—
392#14579153C2312yes—
393#14579153C2312yes—
394#14579153C2311yescharacteristic
395#14579152C2314yes—
396#14579152C2312yes—
397#14579152C2312yes—
398#14579152C2312yes—
399#14579152C2312yes—
400#14579151C2314yes—
401#14579151C2314yes—
402#14579151C2312yes—
403#14579151C2312yes—
404#14579151C2314yes—
405#14579151C2314yes—
406#14579151C2312yes—
407#14579151C2312yes—
408#14579151C2312yes—
409#14579151C2312yes—
410#14579150C2312yes—
411#14579150C2314yes—
412#14579150C2314yes—
413#14579150C2312yes—
414#14579150C2312yes—
415#14579149C2312yes—
416#14579149C2312yes—
417#14579149C2312yes—
418#14579149C2311yescharacteristic
419#14579148C2314yes—
420#14579148C2312yes—
421#14579148C2314yes—
422#14579148C2312yes—
423#14579148C2312yes—
424#14579147C2314yes—
425#14579147C2314yes—
426#14579147C2314yes—
427#14579147C2314yes—
428#14579147C2314yes—
429#14579147C2314yes—
430#14579147C2314yes—
431#14579147C2314yes—
432#14579147C2314yes—
433#14579147C2312yes—
434#14579147C2312yes—
435#14579147C2314yes—
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#14579145C2314yes—
449#14579145C2314yes—
450#14579144C2314yes—
451#14579144C2314yes—
452#14579144C2312yes—
453#14579143C2314yes—
454#14579143C2314yes—
455#14579143C2314yes—
456#14579143C2314yes—
457#14579143C2314yes—
458#14579143C2314yes—
459#14579143C2314yes—
460#14579143C2314yes—
461#14579143C2314yes—
462#14579143C2314yes—
463#14579143C2312yes—
464#14579143C2312yes—
465#14579142C2314yes—
466#14579142C2314yes—
467#14579141C2314yes—
468#14579141C2314yes—
469#14579141C2314yes—
470#14579141C2314yes—
471#14579141C2314yes—
472#14579141C2312yes—
473#14579141C2312yes—
474#14579141C2314yes—
475#14579141C2311yescharacteristic
476#14579141C2311yescharacteristic
477#14579141C2311yescharacteristic
478#14579140C2314yes—
479#14579140C2314yes—
480#14579140C2314yes—
481#14579140C2312yes—
482#14579140C2314yes—
483#14579140C2311yescharacteristic
484#14579140C2311yescharacteristic
485#14579140C2311yescharacteristic
486#14579140C2312yes—
487#14579139C2314yes—
488#14579139C2314yes—
489#14579139C2314yes—
490#14579139C2314yes—
491#14579139C2314yes—
492#14579139C2314yes—
493#14579139C2314yes—
494#14579139C2314yes—
495#14579139C2314yes—
496#14579139C2314yes—
497#14579139C2314yes—
498#14579139C2312yes—
499#14579139C2314yes—
500#14579139C2314yes—
501#14579139C2312yes—
502#14579139C2314yes—
503#14579139C2314yes—
504#14579139C2312yes—
505#14579139C2312yes—
506#14579139C2312yes—
507#14579139C2312yes—
508#14579139C2312yes—
509#14579138C2312yes—
510#14579138C2312yes—
511#14579138C2314yes—
512#14579138C2314yes—
513#14579138C2312yes—
514#14579138C2312yes—
515#14579138C2314yes—
516#14579138C2314yes—
517#14579138C2314yes—
518#14579138C2314yes—
519#14579138C2314yes—
520#14579138C2314yes—
521#14579138C2314yes—
522#14579138C2314yes—
523#14579138C2314yes—
524#14579138C2312yes—
525#14579137C2314yes—
526#14579137C2312yes—
527#14579137C2312yes—
528#14579137C2314yes—
529#14579137C2314yes—
530#14579137C2311yescharacteristic
531#14579137C2311yescharacteristic
532#14579137C2311yescharacteristic
533#14579136C2312yes—
534#14579136C2314yes—
535#14579136C2314yes—
536#14579136C2312yes—
537#14579136C2312yes—
538#14579136C2311yescharacteristic
539#14579135C2314yes—
540#14579135C2314yes—
541#14579135C2312yes—
542#14579135C2311yescharacteristic
543#14579135C2312yes—
544#14579135C2312yes—
545#14579134C2314yes—
546#14579134C2314yes—
547#14579134C2314yes—
548#14579134C2314yes—
549#14579134C2312yes—
550#14579134C2314yes—
551#14579134C2314yes—
552#14579134C2314yes—
553#14579134C2314yes—
554#14579134C2314yes—
555#14579134C2312yes—
556#14579134C2314yes—
557#14579134C2314yes—
558#14579134C2314yes—
559#14579134C2314yes—
560#14579134C2312yes—
561#14579133C2312yes—
562#14579133C2314yes—
563#14579133C2314yes—
564#14579133C2314yes—
565#14579133C2314yes—
566#14579133C2314yes—
567#14579133C2314yes—
568#14579133C2314yes—
569#14579133C2314yes—
570#14579133C2314yes—
571#14579133C2314yes—
572#14579133C2314yes—
573#14579132C2314yes—
574#14579132C2312yes—
575#14579132C2314yes—
576#14579132C2314yes—
577#14579132C2314yes—
578#14579132C2314yes—
579#14579132C2312yes—
580#14579132C2312yes—
581#14579132C2311yescharacteristic
582#14579131C2314yes—
583#14579131C2314yes—
584#14579131C2312yes—
585#14579129C2314yes—
586#14579129C2314yes—
587#14579129C2312yes—
588Q8×Dic79C2312yes—
589Q8×Dic79C2312yes—
590Q8×Dic79C2312yes—
591Q8×Dic79C2311yescharacteristic
592Q8×Dic79C2311yescharacteristic
593Q8×Dic79C2311yescharacteristic
594C4×Dic158C2314yes—
595C4×Dic158C2312yes—
596C4×Dic158C2312yes—
597C4×Dic158C2312yes—
598C4×Dic158C2311yescharacteristic
599C4×Dic158C2312yes—
600C4×Dic158C2311yescharacteristic
601C4×Dic158C2312yes—
602C4×Dic158C2312yes—
603C4×Dic158C2312yes—
604C4×Dic158C2312yes—
605C4×Dic158C2311yescharacteristic
606#14579126C2312yes—
607#14579126C2312yes—
608#14579126C2312yes—
609#14579126C2314yes—
610#14579126C2312yes—
611#14579126C2312yes—
612#14579126C2312yes—
613#14579126C2311yescharacteristic
614#14579126C2312yes—
615#14579126C2311yescharacteristic
616#14579126C2312yes—
617#14579126C2312yes—
618#14579126C2312yes—
619#14579126C2311yescharacteristic
620C4×D316C2314yes—
621C4×D316C2312yes—
622C4×D316C2314yes—
623C4×D316C2312yes—
624C4×D316C2312yes—
625C4×D316C2312yes—
626C4×D316C2312yes—
627C4×D316C2312yes—
628C4×D316C2311yescharacteristic
629C4×D316C2312yes—
630D4×Dic79C2312yes—
631D4×Dic79C2312yes—
632D4×Dic79C2312yes—
633D4×Dic79C2312yes—
634D4×Dic79C2314yes—
635D4×Dic79C2312yes—
636D4×Dic79C2312yes—
637D4×Dic79C2311yescharacteristic
638D4×Dic79C2312yes—
639#14579123C2314yes—
640#14579123C2314yes—
641#14579123C2314yes—
642#14579123C2312yes—
643#14579123C2312yes—
644#14579123C2314yes—
645#14579123C2312yes—
646#14579123C2312yes—
647#14579123C2312yes—
648#14579123C2312yes—
649#14579123C2312yes—
650#14579123C2312yes—
651#14579123C2312yes—
652#14579123C2311yescharacteristic
653C4×C22⋊D79C2314yes—
654C4×C22⋊D79C2314yes—
655C4×C22⋊D79C2314yes—
656C4×C22⋊D79C2314yes—
657C4×C22⋊D79C2314yes—
658C4×C22⋊D79C2314yes—
659C4×C22⋊D79C2314yes—
660C4×C22⋊D79C2314yes—
661C4×C22⋊D79C2314yes—
662C4×C22⋊D79C2312yes—
663C4×C22⋊D79C2312yes—
664C4×C22⋊D79C2312yes—
665C4×C22⋊D79C2314yes—
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)⋊C4C2312yes—
673(C22⋊D79)⋊C4C2312yes—
674(C22⋊D79)⋊C4C2312yes—
675(C22⋊D79)⋊C4C2314yes—
676(C22⋊D79)⋊C4C2312yes—
677(C22⋊D79)⋊C4C2312yes—
678(C22⋊D79)⋊C4C2314yes—
679(C22⋊D79)⋊C4C2312yes—
680(C22⋊D79)⋊C4C2312yes—
681#14579120C2312yes—
682#14579120C2314yes—
683#14579119C2312yes—
684#14579119C2312yes—
685#14579119C2314yes—
686#14579119C2311yescharacteristic
687#14579119C2311yescharacteristic
688#14579119C2312yes—
689#14579119C2312yes—
690#14579118C2312yes—
691#14579118C2312yes—
692#14579118C2314yes—
693#14579118C2312yes—
694#14579118C2312yes—
695#14579118C2314yes—
696#14579118C2314yes—
697#14579117C2312yes—
698#14579117C2312yes—
699#14579117C2312yes—
700#14579117C2314yes—
701#14579117C2314yes—
702#14579117C2314yes—
703#14579117C2312yes—
704#14579117C2312yes—
705C2×Dic79⋊C4C2314yes—
706C2×Dic79⋊C4C2314yes—
707C2×Dic79⋊C4C2314yes—
708C2×Dic79⋊C4C2314yes—
709C4⋊C4×D79C2312yes—
710C4⋊C4×D79C2311yescharacteristic
711C4⋊C4×D79C2314yes—
712C4⋊C4×D79C2314yes—
713C4⋊C4×D79C2312yes—
714C4⋊C4×D79C2311yescharacteristic
715C4⋊C4×D79C2314yes—
716C4⋊C4×D79C2314yes—
717C4⋊C4×D79C2312yes—
718C4⋊C4×D79C2314yes—
719C4⋊C4×D79C2312yes—
720C4⋊C4×D79C2312yes—
721C4⋊C4×D79C2312yes—
722C4⋊C4×D79C2312yes—
723C4⋊C4×D79C2312yes—
724C4⋊C4×D79C2312yes—
725C2×(C2×D79)⋊C4C2314yes—
726C2×(C2×D79)⋊C4C2314yes—
727C22⋊C4×D79C2314yes—
728C22⋊C4×D79C2314yes—
729C22⋊C4×D79C2314yes—
730C22⋊C4×D79C2312yes—
731C22⋊C4×D79C2312yes—
732C22⋊C4×D79C2314yes—
733C2×C4×Dic79C2311yescharacteristic
734C2×C4×Dic79C2311yescharacteristic
735C2×C4×Dic79C2311yescharacteristic
736C2×C4×Dic79C2312yes—
737C42×D79C2311yescharacteristic
738C42×D79C2311yescharacteristic
739C42×D79C2311yescharacteristic
740C42×D79C2311yescharacteristic
741C42×D79C2311yescharacteristic
742C42×D79C2311yescharacteristic
743C42×D79C2311yescharacteristic
744C42×D79C2311yescharacteristic
745C42×D79C2312yes—
746C42×D79C2312yes—
747C42×D79C2312yes—
748C2×#41×C79C2312yes—
749C2×#41×C79C2312yes—
750C22×Q8×C79C2312yes—
751C4⋊Q8×C79C2311yescharacteristic
752C4⋊Q8×C79C2312yes—
753C4⋊Q8×C79C2311yescharacteristic
754C4⋊Q8×C79C2312yes—
755C4⋊Q8×C79C2311yescharacteristic
756#127×C79C2312yes—
757#127×C79C2311yescharacteristic
758#126×C79C2312yes—
759#126×C79C2314yes—
760#125×C79C2312yes—
761#125×C79C2314yes—
762#125×C79C2312yes—
763#125×C79C2311yescharacteristic
764#124×C79C2314yes—
765#124×C79C2314yes—
766#124×C79C2312yes—
767#124×C79C2312yes—
768#124×C79C2311yescharacteristic
769#124×C79C2312yes—
770#123×C79C2314yes—
771#123×C79C2314yes—
772#123×C79C2314yes—
773#123×C79C2314yes—
774#123×C79C2314yes—
775#123×C79C2314yes—
776#123×C79C2312yes—
777C22⋊Q8×C79C2314yes—
778C22⋊Q8×C79C2312yes—
779C22⋊Q8×C79C2314yes—
780C22⋊Q8×C79C2314yes—
781C22⋊Q8×C79C2311yescharacteristic
782C22⋊Q8×C79C2314yes—
783C22⋊Q8×C79C2311yescharacteristic
784C22⋊Q8×C79C2314yes—
785C22⋊Q8×C79C2311yescharacteristic
786C22⋊Q8×C79C2312yes—
787#121×C79C2314yes—
788#121×C79C2314yes—
789#121×C79C2314yes—
790#121×C79C2312yes—
791#121×C79C2311yescharacteristic
792#121×C79C2312yes—
793#121×C79C2312yes—
794C4×Q8×C79C2312yes—
795C4×Q8×C79C2311yescharacteristic
796C4×Q8×C79C2311yescharacteristic
797C4×Q8×C79C2311yescharacteristic
798C4×Q8×C79C2312yes—
799C4×Q8×C79C2312yes—
800C4×D4×C79C2312yes—
801C4×D4×C79C2312yes—
802C4×D4×C79C2312yes—
803C4×D4×C79C2314yes—
804C4×D4×C79C2311yescharacteristic
805C4×D4×C79C2312yes—
806C4×D4×C79C2312yes—
807C4×D4×C79C2312yes—
808C4×D4×C79C2312yes—
809#117×C79C2312yes—
810#117×C79C2312yes—
811C2×C4⋊C4×C79C2314yes—
812C2×C42×C79C2311yescharacteristic
813C23×D79C2411yescharacteristic
814C23×D79C2414yes—
815#11929625—28no—
816#11929625—24no—
817#11929625—44no—
818#11929625—48no—
819#11929624—28no—
820#11929624—48no—
821#11929624—48no—
822#11929624—48no—
823#11929624—48no—
824#11929624—48no—
825#11929624—44no—
826#11929624—44no—
827#11929623—28no—
828#11929623—24no—
829#11929623—48no—
830#11929623—48no—
831#11929623—48no—
832#11929623—44no—
833#11929623—48no—
834#11929623—44no—
835C2×Dic158—44no—
836C2×Dic158—48no—
837C2×Dic158C2412yes—
838C2×Dic158C2411yescharacteristic
839C2×Dic158C2412yes—
840C2×Dic158C2412yes—
841C2×Dic158C2412yes—
842C2×Dic158C2411yescharacteristic
843C2×Dic158C2412yes—
844C2×Dic158C2412yes—
845C2×Dic158C2411yescharacteristic
846C2×Dic158C2414yes—
847C2×Dic158C2414yes—
848C2×Dic158C2414yes—
849C2×Dic158C2412yes—
850C2×Dic158C2414yes—
851C2×Dic158C2412yes—
852Q8×D79—24no—
853Q8×D79—24no—
854Q8×D79—44no—
855Q8×D79—44no—
856Q8×D79—44no—
857Q8×D79—44no—
858Q8×D79—48no—
859C2×D316C2412yes—
860C2×D316C2414yes—
861C2×D316C2412yes—
862C2×D316C2412yes—
863C2×D316C2411yescharacteristic
864C2×D316C2412yes—
865C2×D316C2414yes—
866C2×D316C2414yes—
867C2×D316C2412yes—
868C2×C22⋊D79C2412yes—
869C2×C22⋊D79C2412yes—
870C2×C22⋊D79C2414yes—
871C2×C22⋊D79C2414yes—
872C2×C22⋊D79C2412yes—
873C2×C22⋊D79C2414yes—
874C2×C22⋊D79C2414yes—
875C2×C22⋊D79C2414yes—
876C2×C22⋊D79C2414yes—
877C2×C22⋊D79C2414yes—
878C2×C22⋊D79C2412yes—
879C2×C22⋊D79C2412yes—
880C2×C22⋊D79C2414yes—
881C2×C22⋊D79C2414yes—
882D4×D79—28no—
883D4×D79—44no—
884D4×D79—48no—
885D4×D79—44no—
886C22×Dic79C2414yes—
887C22×Dic79C2411yescharacteristic
888C22×Dic79C2412yes—
889C22×Dic79C2411yescharacteristic
890C22×Dic79C2412yes—
891C22×Dic79C2411yescharacteristic
892C22×Dic79C2414yes—
893C22×Dic79C2414yes—
894C22×Dic79C2414yes—
895C2×C4×D79—24no—
896C2×C4×D79—24no—
897C2×C4×D79—48no—
898C2×C4×D79—42no—
899C2×C4×D79C2412yes—
900C2×C4×D79C2411yescharacteristic
901C2×C4×D79C2411yescharacteristic
902C2×C4×D79C2412yes—
903C2×C4×D79C2414yes—
904C2×C4×D79C2412yes—
905C2×C4×D79C2412yes—
906C2×C4×D79C2411yescharacteristic
907C2×C4×D79C2412yes—
908C2×C4×D79C2411yescharacteristic
909C2×C4×D79C2411yescharacteristic
910C2×C4×D79C2411yescharacteristic
911C2×C4×D79C2411yescharacteristic
912C2×C4×D79C2411yescharacteristic
913C2×C4×D79C2414yes—
914C2×C4×D79C2414yes—
915C2×C4×D79C2414yes—
916C2×C4×D79C2414yes—
917C2×C4×D79C2412yes—
918C2×C4×D79C2412yes—
919C2×C4×D79C2414yes—
920C2×C4×D79C2414yes—
921C2×C4×D79C2414yes—
922C2×C4×D79C2414yes—
923C2×C4×D79C2411yescharacteristic
924C2×C4×D79C2411yescharacteristic
925C2×C4×D79C2411yescharacteristic
926C2×C4×D79C2411yescharacteristic
927C4⋊Dic79C2414yes—
928C4⋊Dic79C2412yes—
929C4⋊Dic79C2412yes—
930C4⋊Dic79C2412yes—
931C4⋊Dic79C2411yescharacteristic
932C4⋊Dic79C2412yes—
933C4⋊Dic79C2414yes—
934C4⋊Dic79C2411yescharacteristic
935C4⋊Dic79C2414yes—
936C4⋊Dic79C2414yes—
937C4⋊Dic79C2412yes—
938C4⋊Dic79C2412yes—
939C4⋊Dic79C2412yes—
940C4⋊Dic79C2412yes—
941C4⋊Dic79C2412yes—
942C4⋊Dic79C2412yes—
943C4⋊Dic79C2411yescharacteristic
944C4⋊Dic79C2411yescharacteristic
945C4⋊Dic79C2412yes—
946Dic79⋊C4C2412yes—
947Dic79⋊C4C2412yes—
948Dic79⋊C4C2412yes—
949Dic79⋊C4C2412yes—
950Dic79⋊C4C2412yes—
951Dic79⋊C4C2412yes—
952Dic79⋊C4C2414yes—
953Dic79⋊C4C2414yes—
954Dic79⋊C4C2412yes—
955Dic79⋊C4C2412yes—
956Dic79⋊C4C2412yes—
957Dic79⋊C4C2412yes—
958Dic79⋊C4C2414yes—
959Dic79⋊C4C2412yes—
960Dic79⋊C4C2412yes—
961Dic79⋊C4C2414yes—
962Dic79⋊C4C2412yes—
963Dic79⋊C4C2412yes—
964Dic79⋊C4C2412yes—
965Dic79⋊C4C2412yes—
966Dic79⋊C4C2412yes—
967Dic79⋊C4C2412yes—
968Dic79⋊C4C2414yes—
969Dic79⋊C4C2414yes—
970Dic79⋊C4C2414yes—
971Dic79⋊C4C2414yes—
972Dic79⋊C4C2414yes—
973Dic79⋊C4C2414yes—
974Dic79⋊C4C2412yes—
975Dic79⋊C4C2412yes—
976Dic79⋊C4C2412yes—
977Dic79⋊C4C2412yes—
978Dic79⋊C4C2412yes—
979Dic79⋊C4C2412yes—
980Dic79⋊C4C2412yes—
981Dic79⋊C4C2412yes—
982C22⋊Dic79C2414yes—
983C22⋊Dic79C2412yes—
984C22⋊Dic79C2412yes—
985C22⋊Dic79C2414yes—
986C22⋊Dic79C2414yes—
987C22⋊Dic79C2414yes—
988C22⋊Dic79C2412yes—
989C22⋊Dic79C2414yes—
990C22⋊Dic79C2412yes—
991C22⋊Dic79C2414yes—
992C22⋊Dic79C2412yes—
993C22⋊Dic79C2414yes—
994(C2×D79)⋊C4C2412yes—
995(C2×D79)⋊C4C2412yes—
996(C2×D79)⋊C4C2412yes—
997(C2×D79)⋊C4C2412yes—
998(C2×D79)⋊C4C2412yes—
999(C2×D79)⋊C4C2412yes—
1000(C2×D79)⋊C4C2414yes—
1001(C2×D79)⋊C4C2414yes—
1002(C2×D79)⋊C4C2414yes—
1003(C2×D79)⋊C4C2414yes—
1004(C2×D79)⋊C4C2414yes—
1005(C2×D79)⋊C4C2414yes—
1006(C2×D79)⋊C4C2414yes—
1007(C2×D79)⋊C4C2414yes—
1008(C2×D79)⋊C4C2412yes—
1009(C2×D79)⋊C4C2414yes—
1010(C2×D79)⋊C4C2412yes—
1011(C2×D79)⋊C4C2412yes—
1012(C2×D79)⋊C4C2412yes—
1013(C2×D79)⋊C4C2414yes—
1014(C2×D79)⋊C4C2414yes—
1015(C2×D79)⋊C4C2414yes—
1016(C2×D79)⋊C4C2414yes—
1017(C2×D79)⋊C4C2412yes—
1018(C2×D79)⋊C4C2412yes—
1019(C2×D79)⋊C4C2414yes—
1020(C2×D79)⋊C4C2412yes—
1021(C2×D79)⋊C4C2412yes—
1022C4×Dic79C2411yescharacteristic
1023C4×Dic79C2411yescharacteristic
1024C4×Dic79C2411yescharacteristic
1025C4×Dic79C2411yescharacteristic
1026C4×Dic79C2411yescharacteristic
1027C4×Dic79C2411yescharacteristic
1028C4×Dic79C2411yescharacteristic
1029C4×Dic79C2411yescharacteristic
1030C4×Dic79C2411yescharacteristic
1031C4×Dic79C2411yescharacteristic
1032C4×Dic79C2411yescharacteristic
1033C4×Dic79C2411yescharacteristic
1034C4×Dic79C2412yes—
1035C4×Dic79C2412yes—
1036C4×Dic79C2412yes—
1037C4×Dic79C2412yes—
1038C4×Dic79C2412yes—
1039C4×Dic79C2412yes—
1040C4×Dic79C2412yes—
1041C4×Dic79C2412yes—
1042C4×Dic79C2412yes—
1043C4×Dic79C2412yes—
1044C4×Dic79C2412yes—
1045C4×Dic79C2414yes—
1046C4×Dic79C2414yes—
1047C4×Dic79C2414yes—
1048#41×C79—44no—
1049#41×C79—44no—
1050C2×Q8×C79—44no—
1051C2×Q8×C79C2411yescharacteristic
1052C2×Q8×C79C2412yes—
1053C2×Q8×C79C2411yescharacteristic
1054C2×Q8×C79C2411yescharacteristic
1055C2×Q8×C79C2414yes—
1056C2×Q8×C79C2412yes—
1057C2×D4×C79C2412yes—
1058C2×D4×C79C2411yescharacteristic
1059C2×D4×C79C2412yes—
1060C2×D4×C79C2414yes—
1061C2×D4×C79C2412yes—
1062C2×D4×C79C2414yes—
1063C2×D4×C79C2414yes—
1064C2×D4×C79C2412yes—
1065C22×C4×C79C2412yes—
1066C22×C4×C79C2411yescharacteristic
1067C22×C4×C79C2411yescharacteristic
1068C22×C4×C79C2414yes—
1069C22×C4×C79C2414yes—
1070C22×C4×C79C2414yes—
1071C22×C4×C79C2414yes—
1072C22×C4×C79C2411yescharacteristic
1073C4⋊C4×C79C2412yes—
1074C4⋊C4×C79C2412yes—
1075C4⋊C4×C79C2414yes—
1076C4⋊C4×C79C2414yes—
1077C4⋊C4×C79C2412yes—
1078C4⋊C4×C79C2412yes—
1079C4⋊C4×C79C2412yes—
1080C4⋊C4×C79C2412yes—
1081C4⋊C4×C79C2411yescharacteristic
1082C4⋊C4×C79C2411yescharacteristic
1083C4⋊C4×C79C2412yes—
1084C4⋊C4×C79C2412yes—
1085C4⋊C4×C79C2411yescharacteristic
1086C4⋊C4×C79C2412yes—
1087C4⋊C4×C79C2411yescharacteristic
1088C4⋊C4×C79C2412yes—
1089C4⋊C4×C79C2414yes—
1090C4⋊C4×C79C2412yes—
1091C4⋊C4×C79C2412yes—
1092C4⋊C4×C79C2414yes—
1093C4⋊C4×C79C2412yes—
1094C22⋊C4×C79C2412yes—
1095C22⋊C4×C79C2412yes—
1096C22⋊C4×C79C2412yes—
1097C22⋊C4×C79C2412yes—
1098C22⋊C4×C79C2412yes—
1099C22⋊C4×C79C2412yes—
1100C22⋊C4×C79C2414yes—
1101C22⋊C4×C79C2414yes—
1102C22⋊C4×C79C2414yes—
1103C22⋊C4×C79C2414yes—
1104C22⋊C4×C79C2414yes—
1105C22⋊C4×C79C2412yes—
1106C22⋊C4×C79C2414yes—
1107C22⋊C4×C79C2414yes—
1108C42×C79C2411yescharacteristic
1109C42×C79C2411yescharacteristic
1110C42×C79C2411yescharacteristic
1111C42×C79C2411yescharacteristic
1112C42×C79C2412yes—
1113C42×C79C2412yes—
1114C42×C79C2412yes—
1115C42×C79C2414yes—
1116C23×C79C2514yes—
1117C23×C79C2511yescharacteristic
1118C23×C79C2512yes—
1119C22×D79—22no—
1120C22×D79—22no—
1121C22×D79—28no—
1122C22×D79—41no—
1123C22×D79—44no—
1124C22×D79—44no—
1125C22×D79C2514yes—
1126C22×D79C2512yes—
1127C22×D79C2511yescharacteristic
1128C22×D79C2511yescharacteristic
1129Q8×C79—22no—
1130Q8×C79—22no—
1131Q8×C79—24no—
1132Q8×C79—22no—
1133Q8×C79—44no—
1134Q8×C79—42no—
1135D4×C79—24no—
1136D4×C79—24no—
1137D4×C79—22no—
1138D4×C79—44no—
1139D4×C79—42no—
1140D4×C79—44no—
1141D4×C79—42no—
1142D4×C79—44no—
1143C2×C4×C79—22no—
1144C2×C4×C79—24no—
1145C2×C4×C79—22no—
1146C2×C4×C79—44no—
1147C2×C4×C79—41no—
1148C2×C4×C79—44no—
1149C2×C4×C79—44no—
1150C2×C4×C79—44no—
1151C2×C4×C79C2512yes—
1152C2×C4×C79C2512yes—
1153C2×C4×C79C2511yescharacteristic
1154C2×C4×C79C2511yescharacteristic
1155C2×C4×C79C2512yes—
1156C2×C4×C79C2511yescharacteristic
1157C2×C4×C79C2511yescharacteristic
1158C2×C4×C79C2512yes—
1159C2×C4×C79C2512yes—
1160C2×C4×C79C2512yes—
1161C2×C4×C79C2514yes—
1162C2×C4×C79C2512yes—
1163C2×C4×C79C2511yescharacteristic
1164C2×C4×C79C2511yescharacteristic
1165C22⋊D79—28no—
1166C22⋊D79—24no—
1167C22⋊D79—24no—
1168C22⋊D79—24no—
1169C22⋊D79—28no—
1170C22⋊D79—28no—
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—28no—
1181C2×Dic79—22no—
1182C2×Dic79—24no—
1183C2×Dic79—22no—
1184C2×Dic79—24no—
1185C2×Dic79—44no—
1186C2×Dic79—44no—
1187C2×Dic79—44no—
1188C2×Dic79C2511yescharacteristic
1189C2×Dic79C2512yes—
1190C2×Dic79C2512yes—
1191C2×Dic79C2511yescharacteristic
1192C2×Dic79C2512yes—
1193C2×Dic79C2511yescharacteristic
1194C2×Dic79C2512yes—
1195C2×Dic79C2512yes—
1196C2×Dic79C2512yes—
1197C2×Dic79C2514yes—
1198C2×Dic79C2512yes—
1199C2×Dic79C2511yescharacteristic
1200C2×Dic79C2511yescharacteristic
1201C2×Dic79C2511yescharacteristic
1202D316—28no—
1203D316—24no—
1204D316—24no—
1205D316—24no—
1206D316—24no—
1207D316—22no—
1208D316—42no—
1209D316—44no—
1210D316—44no—
1211C4×D79—22no—
1212C4×D79—24no—
1213C4×D79—24no—
1214C4×D79—22no—
1215C4×D79—22no—
1216C4×D79—24no—
1217C4×D79—22no—
1218C4×D79—22no—
1219C4×D79—28no—
1220C4×D79—22no—
1221C4×D79—24no—
1222C4×D79—22no—
1223C4×D79—22no—
1224C4×D79—24no—
1225C4×D79—41no—
1226C4×D79—41no—
1227C4×D79—44no—
1228C4×D79—44no—
1229C4×D79—42no—
1230C4×D79—42no—
1231C4×D79—44no—
1232C4×D79—44no—
1233C4×D79—44no—
1234C4×D79—44no—
1235C4×D79—44no—
1236C4×D79—44no—
1237C4×D79H(5,𝔽2)14yes—
1238C4×D792−1+414yescomplemented
1239Dic158—22no—
1240Dic158—22no—
1241Dic158—24no—
1242Dic158—22no—
1243Dic158—24no—
1244Dic158—24no—
1245Dic158—24no—
1246Dic158—24no—
1247Dic158—24no—
1248Dic158—44no—
1249Dic158—44no—
1250Dic158—42no—
1251Dic158—44no—
1252Dic158—44no—
1253Dic158—42no—
1254C22×C79—22no—
1255C22×C79—24no—
1256C22×C79—21no—
1257C22×C79—24no—
1258C22×C79—22no—
1259C22×C79—21no—
1260C22×C79—24no—
1261C22×C79—22no—
1262C22×C79—21no—
1263C22×C79C2611yescharacteristic
1264C2×D79—21no—
1265C2×D79—21no—
1266C2×D79—21no—
1267C2×D79—21no—
1268C2×D79—22no—
1269C2×D79—24no—
1270C2×D79—24no—
1271C2×D79—22no—
1272C2×D79—24no—
1273C2×D79—22no—
1274C2×D79—44no—
1275C2×D79—88no—
1276C2×D79C2×H(5,𝔽2)12yes—
1277C2×D79C2×2−1+412yes—
1278C4×C79—21no—
1279C4×C79—22no—
1280C4×C79—22no—
1281C4×C79—24no—
1282C4×C79—22no—
1283C4×C79—21no—
1284C4×C79—22no—
1285C4×C79—22no—
1286C4×C79—22no—
1287C4×C79—21no—
1288C4×C79—21no—
1289C4×C79—22no—
1290C4×C79C2×H(5,𝔽2)12yes—
1291C4×C79C2×2−1+412yes—
1292Dic79—24no—
1293Dic79—22no—
1294Dic79—21no—
1295Dic79—22no—
1296Dic79—22no—
1297Dic79—22no—
1298Dic79—21no—
1299Dic79—22no—
1300Dic79—22no—
1301Dic79—21no—
1302Dic79—22no—
1303Dic79C2×H(5,𝔽2)12yes—
1304Dic79C2×2−1+412yes—
1305Dic79#58512yes—
1306#62835—791nomaximal, Sylow
1307C2×C79—41no—
1308C2×C79—44no—
1309C2×C79—42no—
1310C2×C79C22×H(5,𝔽2)11yescharacteristic
1311C2×C79C22×2−1+411yescharacteristic
1312C2×C79C2×#58511yescharacteristic
1313D79—22no—
1314D79—22no—
1315D79—42no—
1316D79—44no—
1317#3561—792no—
1318#3561—792no—
1319#3559—794no—
1320#3554—791no—
1321#3554—791no—
1322#3554—791no—
1323#3554D7911yescharacteristic, complemented
1324#3550—792no—
1325#3548—792no—
1326#3547—794no—
1327#3536—794no—
1328#3522—792no—
1329#3522—792no—
1330#3520—794no—
1331#3511—792no—
1332#3511—792no—
1333#3511—792no—
1334#3508—791no—
1335#3508—791no—
1336#3507—791no—
1337#3507—791no—
1338#3506—792no—
1339#3503—791no—
1340#3503—791no—
1341#3501—792no—
1342#3499—792no—
1343#3497—791no—
1344#3497—791no—
1345#3494—792no—
1346#3494—792no—
1347#3489—792no—
1348#3489—792no—
1349#3444—791no—
1350C2×#533—791no—
1351C2×#532—791no—
1352C79#6283511yescharacteristic, complemented, Sylow
1353C2×2−1+4—792no—
1354C2×2−1+4—792no—
1355C22×#41—792no—
1356#563—794no—
1357#563—794no—
1358#562—794no—
1359#562—794no—
1360#562—794no—
1361#562—794no—
1362#562—794no—
1363#562C2×D7914yescomplemented
1364#559—791no—
1365#559—792no—
1366#559—792no—
1367#559—792no—
1368#559—791no—
1369#559—791no—
1370#559—792no—
1371#559—792no—
1372#559C2×D7912yescomplemented
1373#559C2×D7911yescharacteristic, complemented
1374Q82—792no—
1375Q82—792no—
1376#557—791no—
1377#557—791no—
1378#557—791no—
1379#557C2×D7911yescharacteristic, complemented
1380#556—792no—
1381#556—794no—
1382#556—792no—
1383#556—792no—
1384#556—792no—
1385#556—792no—
1386#556—792no—
1387#555—794no—
1388#555—794no—
1389#555—794no—
1390#554—794no—
1391#554—792no—
1392#554—792no—
1393#554—792no—
1394#554—794no—
1395#554—794no—
1396#554—794no—
1397#554—792no—
1398#554—792no—
1399#554—792no—
1400#554—792no—
1401#554—794no—
1402#554C2×D7912yescomplemented
1403#553—794no—
1404#553—794no—
1405#553—794no—
1406#553—794no—
1407#553—794no—
1408#553—794no—
1409#552—794no—
1410#552—794no—
1411#551—794no—
1412#551—794no—
1413#551—794no—
1414#551—794no—
1415#550—792no—
1416#550—791no—
1417#550—792no—
1418#550—791no—
1419#550—792no—
1420#550—791no—
1421#550—792no—
1422#550C2×D7911yescharacteristic, complemented
1423D4×Q8—792no—
1424D4×Q8—792no—
1425D4×Q8—792no—
1426D4×Q8—791no—
1427D4×Q8—792no—
1428D4×Q8—794no—
1429D4×Q8—794no—
1430D4×Q8—792no—
1431D4×Q8—791no—
1432D4×Q8—792no—
1433D4×Q8—791no—
1434D4×Q8C2×D7911yescharacteristic, complemented
1435#548—792no—
1436#548—792no—
1437#548—792no—
1438#548—794no—
1439#548—792no—
1440#548—792no—
1441#548—794no—
1442#548—794no—
1443#548—792no—
1444#548—794no—
1445#548—792no—
1446#548C2×D7912yescomplemented
1447#547—792no—
1448#547—794no—
1449#547—794no—
1450#547—794no—
1451#547—794no—
1452#547—794no—
1453#547—794no—
1454#547—792no—
1455#547—794no—
1456#547—794no—
1457#547—794no—
1458#547—792no—
1459#547—794no—
1460#547—794no—
1461#547C2×D7912yescomplemented
1462#546—792no—
1463#546—794no—
1464#546—792no—
1465#546—794no—
1466#546—794no—
1467#546—794no—
1468#546—794no—
1469#546—794no—
1470#546—792no—
1471#546—792no—
1472#544—792no—
1473#544—792no—
1474#544—794no—
1475#544—794no—
1476#543—794no—
1477#543—794no—
1478#542—792no—
1479#542—794no—
1480#542—792no—
1481#542—794no—
1482#542—794no—
1483#542—794no—
1484#542—794no—
1485#542—794no—
1486#542—794no—
1487#542—792no—
1488#542—794no—
1489#542—792no—
1490#542—792no—
1491#542—792no—
1492#542C2×D7912yescomplemented
1493#542C2×D7912yescomplemented
1494#540—794no—
1495#540—794no—
1496#540—792no—
1497#540—792no—
1498#540—792no—
1499#540C2×D7912yescomplemented
1500#539—794no—
1501#539—794no—
1502#539—794no—
1503#539—794no—
1504#539—794no—
1505#539C2×D7914yescomplemented
1506#538—794no—
1507#538—794no—
1508#537—792no—
1509#537—794no—
1510#537—794no—
1511#537—794no—
1512#537—792no—
1513#537—794no—
1514#537—794no—
1515#537—794no—
1516#536—792no—
1517#536—792no—
1518#536—792no—
1519#536—794no—
1520#536—792no—
1521#536—794no—
1522#536—792no—
1523#536C2×D7912yescomplemented
1524#535—792no—
1525#535—792no—
1526#533—791no—
1527#533—791no—
1528#533—792no—
1529#533—791no—
1530#533—791no—
1531#533—791no—
1532#533—792no—
1533#533—791no—
1534#533—792no—
1535#533—792no—
1536#533—791no—
1537#533—791no—
1538#533—791no—
1539#533—792no—
1540#533—792no—
1541#533—791no—
1542#533C2×D7911yescharacteristic, complemented
1543#532—792no—
1544#532—792no—
1545#532—791no—
1546#532—792no—
1547#532—791no—
1548#532—792no—
1549#532—792no—
1550#532—791no—
1551#532—792no—
1552#532—792no—
1553#532—792no—
1554#532—791no—
1555#532—792no—
1556#532—792no—
1557#532—792no—
1558#532—791no—
1559#532—792no—
1560#532—792no—
1561#532—792no—
1562#532—791no—
1563#532C2×D7911yescharacteristic
1564C2×C4⋊Q8—792no—
1565C2×C4⋊Q8—791no—
1566C2×C4⋊Q8—791no—
1567C2×C4⋊Q8—791no—
1568C2×C4⋊Q8—792no—
1569C2×#127—791no—
1570#529—792no—
1571#529—792no—
1572#529—791no—
1573#529—792no—
1574#529—791no—
1575#529—792no—
1576#529—792no—
1577#529—792no—
1578#529—792no—
1579#529—792no—
1580#529—791no—
1581#529C2×D7911yescharacteristic, complemented
1582C2×#125—792no—
1583C2×#124—792no—
1584#525—792no—
1585#525—794no—
1586#525—791no—
1587#525—791no—
1588#525—792no—
1589#525—794no—
1590C2×C22⋊Q8—791no—
1591C2×C22⋊Q8—791no—
1592C2×C22⋊Q8—792no—
1593C2×C22⋊Q8—794no—
1594C2×C22⋊Q8—794no—
1595C2×#121—792no—
1596C2×#121—792no—
1597#520—792no—
1598#520—792no—
1599#520—792no—
1600#520—792no—
1601#520—794no—
1602#520—794no—
1603#518—792no—
1604#518—792no—
1605C4×#41—791no—
1606C4×#41—791no—
1607C4×#41—792no—
1608C4×#41—792no—
1609C2×C4×Q8—791no—
1610C2×C4×Q8—791no—
1611C2×C4×Q8—792no—
1612C2×C4×D4—792no—
1613C2×C4×D4—792no—
1614C2×#117—792no—
1615C22×C42—791no—
16162−1+4—3168no—
16172−1+4—3168no—
1618C2×#41—3168no—
1619C2×#41—792no—
1620C2×#41—794no—
1621C2×#41—791no—
1622C2×#41—792no—
1623C2×#41—792no—
1624C2×#41—794no—
1625C2×#41—794no—
1626C2×#41—794no—
1627C2×#41—792no—
1628C2×#41—794no—
1629C2×#41—791no—
1630C2×#41—792no—
1631C2×#41—794no—
1632C2×#41—794no—
1633C2×#41—794no—
1634C2×#41—792no—
1635C2×#41—792no—
1636C2×#41—794no—
1637C2×#41—794no—
1638C2×#41—792no—
1639C2×#41C22×D7912yes—
1640C2×#41C22×D7912yes—
1641C22×Q8—792no—
1642C22×Q8—794no—
1643C22×Q8—792no—
1644C22×Q8—792no—
1645C22×Q8—792no—
1646C22×Q8—791no—
1647C22×Q8—791no—
1648C22×Q8—794no—
1649C22×Q8—792no—
1650C22×Q8C22×D7912yes—
1651C22×D4—792no—
1652C22×D4—794no—
1653C22×D4—792no—
1654C22×D4—792no—
1655C23×C4—794no—
1656C23×C4—791no—
1657C23×C4—791no—
1658C23×C4—791no—
1659C4⋊Q8—791no—
1660C4⋊Q8—792no—
1661C4⋊Q8—791no—
1662C4⋊Q8—792no—
1663C4⋊Q8—792no—
1664C4⋊Q8—792no—
1665C4⋊Q8—794no—
1666C4⋊Q8—794no—
1667C4⋊Q8—791no—
1668C4⋊Q8—794no—
1669C4⋊Q8—791no—
1670C4⋊Q8—791no—
1671C4⋊Q8—792no—
1672C4⋊Q8—792no—
1673C4⋊Q8—792no—
1674C4⋊Q8—792no—
1675C4⋊Q8—792no—
1676C4⋊Q8—794no—
1677C4⋊Q8—794no—
1678C4⋊Q8—791no—
1679C4⋊Q8—791no—
1680C4⋊Q8—792no—
1681C4⋊Q8—792no—
1682C4⋊Q8—794no—
1683C4⋊Q8—794no—
1684C4⋊Q8—791no—
1685C4⋊Q8—791no—
1686C4⋊Q8—791no—
1687C4⋊Q8—792no—
1688C4⋊Q8—792no—
1689C4⋊Q8—794no—
1690C4⋊Q8C22×D7911yescharacteristic
1691C4⋊Q8C22×D7911yescharacteristic
1692C4⋊Q8C22×D7911yescharacteristic
1693C4⋊Q8C22×D7912yes—
1694C4⋊Q8C22×D7912yes—
1695#127—792no—
1696#127—792no—
1697#127—792no—
1698#127—791no—
1699#127—792no—
1700#127—792no—
1701#127—791no—
1702#127—792no—
1703#127C22×D7911yescharacteristic
1704#127C22×D7912yes—
1705#126—792no—
1706#126—794no—
1707#126—794no—
1708#126—794no—
1709#126—794no—
1710#126—794no—
1711#126—792no—
1712#126—794no—
1713#126—794no—
1714#126—794no—
1715#126—794no—
1716#126—794no—
1717#126—792no—
1718#126—794no—
1719#126C22×D7912yes—
1720#126C22×D7914yes—
1721#125—792no—
1722#125—792no—
1723#125—792no—
1724#125—792no—
1725#125—792no—
1726#125—792no—
1727#125—792no—
1728#125—792no—
1729#125—792no—
1730#125—792no—
1731#125—794no—
1732#125—794no—
1733#125—794no—
1734#125—794no—
1735#125—794no—
1736#125—792no—
1737#125—791no—
1738#125—792no—
1739#125C22×D7912yes—
1740#125C22×D7911yescharacteristic
1741#125C22×D7912yes—
1742#125C22×D7914yes—
1743#124—792no—
1744#124—792no—
1745#124—792no—
1746#124—794no—
1747#124—794no—
1748#124—792no—
1749#124—792no—
1750#124—792no—
1751#124—794no—
1752#124—794no—
1753#124—794no—
1754#124—794no—
1755#124—792no—
1756#124—792no—
1757#124—794no—
1758#124—794no—
1759#124—794no—
1760#124—794no—
1761#124—794no—
1762#124—794no—
1763#124—794no—
1764#124—794no—
1765#124—792no—
1766#124—791no—
1767#124—792no—
1768#124—792no—
1769#124C22×D7912yes—
1770#124C22×D7911yescharacteristic
1771#124C22×D7912yes—
1772#124C22×D7912yes—
1773#124C22×D7914yes—
1774#124C22×D7914yes—
1775#123—794no—
1776#123—794no—
1777#123—792no—
1778#123—794no—
1779#123—794no—
1780#123—792no—
1781#123—792no—
1782#123—794no—
1783#123—794no—
1784#123—794no—
1785#123—794no—
1786#123—794no—
1787#123—794no—
1788#123—794no—
1789#123—794no—
1790#123—792no—
1791#123—792no—
1792#123—794no—
1793#123—794no—
1794#123—794no—
1795#123—794no—
1796#123—794no—
1797#123—794no—
1798#123—794no—
1799#123—794no—
1800#123—794no—
1801#123—794no—
1802#123—794no—
1803#123—794no—
1804#123—794no—
1805#123—794no—
1806#123C22×D7912yes—
1807#123C22×D7914yes—
1808#123C22×D7914yes—
1809#123C22×D7914yes—
1810#123C22×D7914yes—
1811#123C22×D7914yes—
1812#123C22×D7914yes—
1813C22⋊Q8—792no—
1814C22⋊Q8—791no—
1815C22⋊Q8—791no—
1816C22⋊Q8—794no—
1817C22⋊Q8—791no—
1818C22⋊Q8—792no—
1819C22⋊Q8—794no—
1820C22⋊Q8—794no—
1821C22⋊Q8—791no—
1822C22⋊Q8—791no—
1823C22⋊Q8—792no—
1824C22⋊Q8—794no—
1825C22⋊Q8—791no—
1826C22⋊Q8—792no—
1827C22⋊Q8—794no—
1828C22⋊Q8—794no—
1829C22⋊Q8—794no—
1830C22⋊Q8—792no—
1831C22⋊Q8—792no—
1832C22⋊Q8—792no—
1833C22⋊Q8—792no—
1834C22⋊Q8—791no—
1835C22⋊Q8—791no—
1836C22⋊Q8—792no—
1837C22⋊Q8—792no—
1838C22⋊Q8—794no—
1839C22⋊Q8—794no—
1840C22⋊Q8—794no—
1841C22⋊Q8—794no—
1842C22⋊Q8—794no—
1843C22⋊Q8—794no—
1844C22⋊Q8—794no—
1845C22⋊Q8—791no—
1846C22⋊Q8—792no—
1847C22⋊Q8—792no—
1848C22⋊Q8—794no—
1849C22⋊Q8—792no—
1850C22⋊Q8—794no—
1851C22⋊Q8—794no—
1852C22⋊Q8—794no—
1853C22⋊Q8—794no—
1854C22⋊Q8—794no—
1855C22⋊Q8—794no—
1856C22⋊Q8—794no—
1857C22⋊Q8—794no—
1858C22⋊Q8—794no—
1859C22⋊Q8—794no—
1860C22⋊Q8—794no—
1861C22⋊Q8—794no—
1862C22⋊Q8—794no—
1863C22⋊Q8—792no—
1864C22⋊Q8—792no—
1865C22⋊Q8—792no—
1866C22⋊Q8—792no—
1867C22⋊Q8—794no—
1868C22⋊Q8—794no—
1869C22⋊Q8—792no—
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⋊Q8C22×D7911yescharacteristic
1880C22⋊Q8C22×D7911yescharacteristic
1881C22⋊Q8C22×D7912yes—
1882C22⋊Q8C22×D7914yes—
1883C22⋊Q8C22×D7911yescharacteristic
1884C22⋊Q8C22×D7912yes—
1885C22⋊Q8C22×D7914yes—
1886C22⋊Q8C22×D7914yes—
1887C22⋊Q8C22×D7914yes—
1888C22⋊Q8C22×D7914yes—
1889#121—792no—
1890#121—792no—
1891#121—794no—
1892#121—794no—
1893#121—791no—
1894#121—792no—
1895#121—794no—
1896#121—794no—
1897#121—794no—
1898#121—794no—
1899#121—794no—
1900#121—792no—
1901#121—794no—
1902#121—794no—
1903#121—794no—
1904#121—794no—
1905#121—794no—
1906#121—794no—
1907#121—794no—
1908#121—794no—
1909#121—794no—
1910#121—792no—
1911#121—792no—
1912#121—791no—
1913#121—792no—
1914#121—794no—
1915#121—794no—
1916#121—792no—
1917#121—792no—
1918#121—791no—
1919#121—794no—
1920#121—792no—
1921#121—794no—
1922#121—794no—
1923#121—794no—
1924#121—792no—
1925#121—792no—
1926#121—792no—
1927#121—794no—
1928#121—794no—
1929#121—794no—
1930#121—794no—
1931#121—794no—
1932#121—794no—
1933#121—794no—
1934#121—794no—
1935#121—794no—
1936#121—794no—
1937#121—794no—
1938#121C22×D7912yes—
1939#121C22×D7912yes—
1940#121C22×D7911yescharacteristic
1941#121C22×D7912yes—
1942#121C22×D7914yes—
1943#121C22×D7914yes—
1944#121C22×D7914yes—
1945#120—792no—
1946#120—794no—
1947#120—794no—
1948#120—792no—
1949#120—794no—
1950#120—794no—
1951C4×Q8—792no—
1952C4×Q8—791no—
1953C4×Q8—791no—
1954C4×Q8—791no—
1955C4×Q8—792no—
1956C4×Q8—792no—
1957C4×Q8—792no—
1958C4×Q8—792no—
1959C4×Q8—792no—
1960C4×Q8—792no—
1961C4×Q8—792no—
1962C4×Q8—791no—
1963C4×Q8—791no—
1964C4×Q8—792no—
1965C4×Q8—792no—
1966C4×Q8—792no—
1967C4×Q8—791no—
1968C4×Q8—792no—
1969C4×Q8—792no—
1970C4×Q8—794no—
1971C4×Q8—792no—
1972C4×Q8—792no—
1973C4×Q8—791no—
1974C4×Q8—791no—
1975C4×Q8—792no—
1976C4×Q8—792no—
1977C4×Q8—792no—
1978C4×Q8—792no—
1979C4×Q8—791no—
1980C4×Q8—792no—
1981C4×Q8—792no—
1982C4×Q8—794no—
1983C4×Q8C22×D7911yescharacteristic
1984C4×Q8C22×D7911yescharacteristic
1985C4×Q8C22×D7912yes—
1986C4×Q8C22×D7911yescharacteristic
1987C4×Q8C22×D7912yes—
1988C4×Q8C22×D7912yes—
1989C4×D4—792no—
1990C4×D4—792no—
1991C4×D4—792no—
1992C4×D4—791no—
1993C4×D4—792no—
1994C4×D4—792no—
1995C4×D4—792no—
1996C4×D4—792no—
1997C4×D4—794no—
1998C4×D4—794no—
1999C4×D4—794no—
2000C4×D4—792no—
2001C4×D4—792no—
2002C4×D4—792no—
2003C4×D4—794no—
2004C4×D4—794no—
2005C4×D4—794no—
2006C4×D4—794no—
2007C4×D4—794no—
2008C4×D4—794no—
2009C4×D4—794no—
2010C4×D4—794no—
2011C4×D4—792no—
2012C4×D4—792no—
2013C4×D4—792no—
2014C4×D4—792no—
2015C4×D4—792no—
2016C4×D4—791no—
2017C4×D4—792no—
2018C4×D4—792no—
2019C4×D4—794no—
2020C4×D4—794no—
2021C4×D4—794no—
2022C4×D4—792no—
2023C4×D4—792no—
2024C4×D4—794no—
2025C4×D4—794no—
2026C4×D4—794no—
2027C4×D4—792no—
2028C4×D4—792no—
2029C4×D4—792no—
2030C4×D4—792no—
2031C4×D4—792no—
2032C4×D4—792no—
2033C4×D4—792no—
2034C4×D4—794no—
2035C4×D4—794no—
2036C4×D4—794no—
2037C4×D4—794no—
2038C4×D4—794no—
2039C4×D4—794no—
2040C4×D4—792no—
2041C4×D4—792no—
2042C4×D4—792no—
2043C4×D4—791no—
2044C4×D4—792no—
2045C4×D4—792no—
2046C4×D4—794no—
2047C4×D4—794no—
2048C4×D4—792no—
2049C4×D4—792no—
2050C4×D4C22×D7912yes—
2051C4×D4C22×D7912yes—
2052C4×D4C22×D7912yes—
2053C4×D4C22×D7911yescharacteristic
2054C4×D4C22×D7912yes—
2055C4×D4C22×D7912yes—
2056C4×D4C22×D7914yes—
2057C4×D4C22×D7912yes—
2058C4×D4C22×D7912yes—
2059#117—792no—
2060#117—794no—
2061#117—792no—
2062#117—792no—
2063#117—791no—
2064#117—791no—
2065#117—792no—
2066#117—792no—
2067#117—794no—
2068#117—792no—
2069#117—792no—
2070#117—792no—
2071#117—792no—
2072#117—792no—
2073#117—794no—
2074#117—794no—
2075#117—794no—
2076#117—792no—
2077#117—792no—
2078#117—792no—
2079#117—792no—
2080#117—794no—
2081#117—794no—
2082#117—794no—
2083#117C22×D7912yes—
2084#117C22×D7912yes—
2085C2×C4⋊C4—794no—
2086C2×C4⋊C4—794no—
2087C2×C4⋊C4—794no—
2088C2×C4⋊C4—794no—
2089C2×C4⋊C4—792no—
2090C2×C4⋊C4—792no—
2091C2×C4⋊C4—792no—
2092C2×C4⋊C4—792no—
2093C2×C4⋊C4—791no—
2094C2×C4⋊C4—791no—
2095C2×C4⋊C4—792no—
2096C2×C4⋊C4—792no—
2097C2×C4⋊C4—792no—
2098C2×C4⋊C4—792no—
2099C2×C4⋊C4—792no—
2100C2×C4⋊C4—794no—
2101C2×C4⋊C4—794no—
2102C2×C4⋊C4—794no—
2103C2×C4⋊C4—794no—
2104C2×C4⋊C4—794no—
2105C2×C4⋊C4C22×D7914yes—
2106C2×C22⋊C4—794no—
2107C2×C22⋊C4—794no—
2108C2×C22⋊C4—792no—
2109C2×C22⋊C4—792no—
2110C2×C22⋊C4—794no—
2111C2×C22⋊C4—794no—
2112C2×C22⋊C4—794no—
2113C2×C22⋊C4—794no—
2114C2×C42—792no—
2115C2×C42—791no—
2116C2×C42—791no—
2117C2×C42—791no—
2118C2×C42—792no—
2119C2×C42—792no—
2120C2×C42—791no—
2121C2×C42—791no—
2122C2×C42—791no—
2123C2×C42—791no—
2124C2×C42—792no—
2125C2×C42—791no—
2126C2×C42—791no—
2127C2×C42—791no—
2128C2×C42—791no—
2129C2×C42C22×D7911yescharacteristic
2130C24—794no—
2131C24—791no—
2132#41—44no—
2133#41—44no—
2134#41—3164no—
2135#41—3164no—
2136#41—3168no—
2137#41—3168no—
2138#41—3168no—
2139#41—3168no—
2140#41—3168no—
2141#41—3164no—
2142#41—3168no—
2143#41—3168no—
2144#41—3168no—
2145#41—3164no—
2146#41—3168no—
2147#41—3168no—
2148#41—3164no—
2149#41—1588no—
2150#41—1588no—
2151#41—1584no—
2152#41—1588no—
2153#41—1584no—
2154C2×Q8—44no—
2155C2×Q8—3164no—
2156C2×Q8—3168no—
2157C2×Q8—3164no—
2158C2×Q8—3164no—
2159C2×Q8—3164no—
2160C2×Q8—3164no—
2161C2×Q8—3168no—
2162C2×Q8—792no—
2163C2×Q8—792no—
2164C2×Q8—794no—
2165C2×Q8—794no—
2166C2×Q8—794no—
2167C2×Q8—794no—
2168C2×Q8—791no—
2169C2×Q8—792no—
2170C2×Q8—792no—
2171C2×Q8—792no—
2172C2×Q8—792no—
2173C2×Q8—792no—
2174C2×Q8—792no—
2175C2×Q8—791no—
2176C2×Q8—791no—
2177C2×Q8—1584no—
2178C2×Q8—1584no—
2179C2×Q8C23×D7911yescharacteristic
2180C2×Q8C23×D7911yescharacteristic
2181C2×Q8C23×D7912yes—
2182C2×Q8C23×D7911yescharacteristic
2183C2×Q8C23×D7912yes—
2184C2×Q8C23×D7914yes—
2185C2×D4—3168no—
2186C2×D4—3164no—
2187C2×D4—3164no—
2188C2×D4—792no—
2189C2×D4—794no—
2190C2×D4—794no—
2191C2×D4—792no—
2192C2×D4—794no—
2193C2×D4—794no—
2194C2×D4—794no—
2195C2×D4—794no—
2196C2×D4—792no—
2197C2×D4—794no—
2198C2×D4—794no—
2199C2×D4—792no—
2200C2×D4—794no—
2201C2×D4—792no—
2202C2×D4—794no—
2203C2×D4—792no—
2204C2×D4—794no—
2205C2×D4—792no—
2206C2×D4—792no—
2207C2×D4—791no—
2208C2×D4—792no—
2209C2×D4—794no—
2210C2×D4—792no—
2211C2×D4—1588no—
2212C2×D4C23×D7912yes—
2213C2×D4C23×D7911yescharacteristic
2214C2×D4C23×D7912yes—
2215C2×D4C23×D7912yes—
2216C2×D4C23×D7914yes—
2217C2×D4C23×D7912yes—
2218C2×D4C23×D7914yes—
2219C2×D4C23×D7914yes—
2220C22×C4—3162no—
2221C22×C4—3168no—
2222C22×C4—794no—
2223C22×C4—794no—
2224C22×C4—794no—
2225C22×C4—791no—
2226C22×C4—791no—
2227C22×C4—792no—
2228C22×C4—792no—
2229C22×C4—794no—
2230C22×C4—794no—
2231C22×C4—794no—
2232C22×C4—794no—
2233C22×C4—794no—
2234C22×C4—794no—
2235C22×C4—794no—
2236C22×C4—794no—
2237C22×C4—791no—
2238C22×C4—791no—
2239C22×C4—791no—
2240C22×C4—791no—
2241C22×C4—791no—
2242C22×C4—792no—
2243C22×C4—792no—
2244C22×C4—794no—
2245C22×C4—791no—
2246C22×C4—791no—
2247C22×C4—791no—
2248C22×C4—791no—
2249C22×C4—791no—
2250C22×C4—791no—
2251C22×C4—791no—
2252C22×C4—791no—
2253C22×C4—792no—
2254C22×C4—792no—
2255C22×C4—792no—
2256C22×C4—792no—
2257C22×C4—792no—
2258C22×C4—794no—
2259C22×C4—1584no—
2260C22×C4—1584no—
2261C22×C4C23×D7911yescharacteristic
2262C22×C4C23×D7911yescharacteristic
2263C22×C4C23×D7912yes—
2264C22×C4C23×D7911yescharacteristic
2265C22×C4C23×D7914yes—
2266C22×C4C23×D7914yes—
2267C22×C4C23×D7914yes—
2268C22×C4C23×D7914yes—
2269C4⋊C4—792no—
2270C4⋊C4—792no—
2271C4⋊C4—792no—
2272C4⋊C4—794no—
2273C4⋊C4—792no—
2274C4⋊C4—792no—
2275C4⋊C4—792no—
2276C4⋊C4—792no—
2277C4⋊C4—794no—
2278C4⋊C4—792no—
2279C4⋊C4—792no—
2280C4⋊C4—792no—
2281C4⋊C4—794no—
2282C4⋊C4—794no—
2283C4⋊C4—792no—
2284C4⋊C4—792no—
2285C4⋊C4—794no—
2286C4⋊C4—794no—
2287C4⋊C4—794no—
2288C4⋊C4—794no—
2289C4⋊C4—794no—
2290C4⋊C4—794no—
2291C4⋊C4—792no—
2292C4⋊C4—792no—
2293C4⋊C4—792no—
2294C4⋊C4—792no—
2295C4⋊C4—792no—
2296C4⋊C4—792no—
2297C4⋊C4—792no—
2298C4⋊C4—792no—
2299C4⋊C4—792no—
2300C4⋊C4—792no—
2301C4⋊C4—792no—
2302C4⋊C4—792no—
2303C4⋊C4—792no—
2304C4⋊C4—792no—
2305C4⋊C4—794no—
2306C4⋊C4—792no—
2307C4⋊C4—792no—
2308C4⋊C4—792no—
2309C4⋊C4—791no—
2310C4⋊C4—791no—
2311C4⋊C4—792no—
2312C4⋊C4—794no—
2313C4⋊C4—794no—
2314C4⋊C4—794no—
2315C4⋊C4—792no—
2316C4⋊C4—792no—
2317C4⋊C4—792no—
2318C4⋊C4—792no—
2319C4⋊C4—792no—
2320C4⋊C4—792no—
2321C4⋊C4—791no—
2322C4⋊C4—791no—
2323C4⋊C4—792no—
2324C4⋊C4C23×D7912yes—
2325C4⋊C4C23×D7912yes—
2326C4⋊C4C23×D7912yes—
2327C4⋊C4C23×D7914yes—
2328C4⋊C4C23×D7912yes—
2329C4⋊C4C23×D7912yes—
2330C4⋊C4C23×D7912yes—
2331C4⋊C4C23×D7911yescharacteristic
2332C4⋊C4C23×D7912yes—
2333C4⋊C4C23×D7914yes—
2334C4⋊C4C23×D7914yes—
2335C4⋊C4C23×D7911yescharacteristic
2336C4⋊C4C23×D7912yes—
2337C4⋊C4C23×D7912yes—
2338C4⋊C4C23×D7912yes—
2339C4⋊C4C23×D7914yes—
2340C4⋊C4C23×D7911yescharacteristic
2341C4⋊C4C23×D7911yescharacteristic
2342C4⋊C4C23×D7912yes—
2343C4⋊C4C23×D7912yes—
2344C4⋊C4C23×D7912yes—
2345C22⋊C4—794no—
2346C22⋊C4—792no—
2347C22⋊C4—792no—
2348C22⋊C4—794no—
2349C22⋊C4—794no—
2350C22⋊C4—794no—
2351C22⋊C4—792no—
2352C22⋊C4—794no—
2353C22⋊C4—794no—
2354C22⋊C4—792no—
2355C22⋊C4—792no—
2356C22⋊C4—794no—
2357C22⋊C4—792no—
2358C22⋊C4—792no—
2359C22⋊C4—792no—
2360C22⋊C4—792no—
2361C22⋊C4—792no—
2362C22⋊C4—792no—
2363C22⋊C4—794no—
2364C22⋊C4—794no—
2365C22⋊C4—794no—
2366C22⋊C4—794no—
2367C22⋊C4—794no—
2368C22⋊C4—794no—
2369C22⋊C4—794no—
2370C22⋊C4—794no—
2371C22⋊C4—792no—
2372C22⋊C4—792no—
2373C22⋊C4—792no—
2374C22⋊C4—792no—
2375C22⋊C4—794no—
2376C22⋊C4—794no—
2377C22⋊C4—794no—
2378C22⋊C4—794no—
2379C22⋊C4—792no—
2380C22⋊C4—792no—
2381C22⋊C4—794no—
2382C22⋊C4—794no—
2383C22⋊C4—792no—
2384C22⋊C4—792no—
2385C22⋊C4C23×D7912yes—
2386C22⋊C4C23×D7912yes—
2387C22⋊C4C23×D7914yes—
2388C22⋊C4C23×D7914yes—
2389C22⋊C4C23×D7914yes—
2390C22⋊C4C23×D7914yes—
2391C22⋊C4C23×D7912yes—
2392C22⋊C4C23×D7914yes—
2393C22⋊C4C23×D7914yes—
2394C22⋊C4C23×D7912yes—
2395C22⋊C4C23×D7912yes—
2396C22⋊C4C23×D7914yes—
2397C22⋊C4C23×D7912yes—
2398C22⋊C4C23×D7912yes—
2399C42—791no—
2400C42—791no—
2401C42—791no—
2402C42—791no—
2403C42—791no—
2404C42—791no—
2405C42—791no—
2406C42—791no—
2407C42—791no—
2408C42—791no—
2409C42—791no—
2410C42—791no—
2411C42—792no—
2412C42—792no—
2413C42—792no—
2414C42—792no—
2415C42—792no—
2416C42—792no—
2417C42—792no—
2418C42—792no—
2419C42—792no—
2420C42—792no—
2421C42—792no—
2422C42—794no—
2423C42—794no—
2424C42—794no—
2425C42C23×D7911yescharacteristic
2426C42C23×D7911yescharacteristic
2427C42C23×D7911yescharacteristic
2428C42C23×D7911yescharacteristic
2429C42C23×D7912yes—
2430C42C23×D7912yes—
2431C42C23×D7912yes—
2432C42C23×D7914yes—
2433C23—3161no—
2434C23—3164no—
2435C23—3164no—
2436C23—791no—
2437C23—791no—
2438C23—794no—
2439C23—792no—
2440C23—1582no—
2441C23—1582no—
2442C23—1588no—
2443C23C24×D7911yescharacteristic
2444C23C24×D7914yes—
2445C23C24×D7912yes—
2446Q8—22no—
2447Q8—24no—
2448Q8—22no—
2449Q8—22no—
2450Q8—44no—
2451Q8—42no—
2452Q8—3164no—
2453Q8—3164no—
2454Q8—3164no—
2455Q8—3164no—
2456Q8—3162no—
2457Q8—3162no—
2458Q8—1584no—
2459Q8—1584no—
2460Q8—1584no—
2461Q8—1584no—
2462Q8—1584no—
2463Q8—1584no—
2464Q8—1582no—
2465Q8—1582no—
2466Q8—1582no—
2467D4—24no—
2468D4—24no—
2469D4—22no—
2470D4—42no—
2471D4—44no—
2472D4—44no—
2473D4—42no—
2474D4—44no—
2475D4—3162no—
2476D4—3164no—
2477D4—3164no—
2478D4—3164no—
2479D4—3164no—
2480D4—3162no—
2481D4—3164no—
2482D4—3164no—
2483D4—3162no—
2484D4—3164no—
2485D4—3164no—
2486D4—1588no—
2487D4—1584no—
2488D4—1584no—
2489D4—1588no—
2490D4—1588no—
2491D4—1584no—
2492D4—1588no—
2493D4—1584no—
2494D4—1584no—
2495D4—1584no—
2496D4—1584no—
2497D4—1582no—
2498C2×C4—22no—
2499C2×C4—24no—
2500C2×C4—22no—
2501C2×C4—41no—
2502C2×C4—44no—
2503C2×C4—44no—
2504C2×C4—44no—
2505C2×C4—44no—
2506C2×C4—3164no—
2507C2×C4—3164no—
2508C2×C4—3161no—
2509C2×C4—3161no—
2510C2×C4—3164no—
2511C2×C4—3164no—
2512C2×C4—3164no—
2513C2×C4—3164no—
2514C2×C4—3162no—
2515C2×C4—3162no—
2516C2×C4—3164no—
2517C2×C4—3164no—
2518C2×C4—3164no—
2519C2×C4—3164no—
2520C2×C4—3164no—
2521C2×C4—791no—
2522C2×C4—791no—
2523C2×C4—791no—
2524C2×C4—794no—
2525C2×C4—794no—
2526C2×C4—791no—
2527C2×C4—792no—
2528C2×C4—792no—
2529C2×C4—792no—
2530C2×C4—791no—
2531C2×C4—791no—
2532C2×C4—792no—
2533C2×C4—792no—
2534C2×C4—792no—
2535C2×C4—792no—
2536C2×C4—794no—
2537C2×C4—1582no—
2538C2×C4—1582no—
2539C2×C4—1582no—
2540C2×C4—1588no—
2541C2×C4—1582no—
2542C2×C4—1584no—
2543C2×C4—1584no—
2544C2×C4—1582no—
2545C2×C4—1582no—
2546C2×C4—1584no—
2547C2×C4—1584no—
2548C2×C4—1588no—
2549C2×C4—1582no—
2550C2×C4—1582no—
2551C2×C4—1582no—
2552C2×C4—1584no—
2553C2×C4—1584no—
2554C2×C4—1582no—
2555C2×C4—1584no—
2556C2×C4—1582no—
2557C2×C4C24×D7912yes—
2558C2×C4C24×D7912yes—
2559C2×C4C24×D7911yescharacteristic
2560C2×C4C24×D7911yescharacteristic
2561C2×C4C24×D7911yescharacteristic
2562C2×C4C24×D7911yescharacteristic
2563C2×C4C24×D7912yes—
2564C2×C4C24×D7912yes—
2565C2×C4C24×D7912yes—
2566C2×C4C24×D7912yes—
2567C2×C4C24×D7914yes—
2568C2×C4C24×D7912yes—
2569C2×C4C24×D7911yescharacteristic
2570C2×C4C24×D7911yescharacteristic
2571C22—22no—
2572C22—21no—
2573C22—24no—
2574C22—21no—
2575C22—22no—
2576C22—24no—
2577C22—24no—
2578C22—21no—
2579C22—22no—
2580C22—3164no—
2581C22—792no—
2582C22—792no—
2583C22—6328no—
2584C22—1582no—
2585C22—1584no—
2586C22—1582no—
2587C22—1584no—
2588C22—1584no—
2589C22—1582no—
2590C22—1581no—
2591C22—1581no—
2592C22—1581no—
2593C22—1581no—
2594C22C25×D7911yescharacteristic
2595C4—21no—
2596C4—22no—
2597C4—22no—
2598C4—24no—
2599C4—22no—
2600C4—21no—
2601C4—22no—
2602C4—22no—
2603C4—22no—
2604C4—21no—
2605C4—21no—
2606C4—22no—
2607C4—792no—
2608C4—792no—
2609C4—792no—
2610C4—1582no—
2611C4—1582no—
2612C4—1584no—
2613C4—1582no—
2614C4—1581no—
2615C4—1581no—
2616C4—1582no—
2617C4—1582no—
2618C4—1582no—
2619C4—1582no—
2620C4—1581no—
2621C4H(5,𝔽2)×D7912yes—
2622C42−1+4×D7912yes—
2623C2—41no—
2624C2—44no—
2625C2—42no—
2626C2—3164no—
2627C2—3162no—
2628C2—1582no—
2629C2—1582no—
2630C2C2×H(5,𝔽2)×D7911yescharacteristic
2631C2C2×2−1+4×D7911yescharacteristic
2632C2#585×D7911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3554C2
hypercenter#3554D79
hypocenterC79#62835
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3554

Complements

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

NH ≅ G/Ntype
1. #23777971C2semidirect
2. #23777961C2semidirect
3. #23777926C2semidirect
4. #23777873C2semidirect
5. #23777871C2semidirect
6. #23777865C2semidirect
7. #23777808C2semidirect
8. #23777794C2semidirect
9. #23777780C2semidirect
10. #23777619C2semidirect
11. #23777484C2semidirect
12. #23777482C2semidirect
13. #23777441C2semidirect
14. #23777310C2semidirect
15. #23777306C2semidirect
16. #23777305C2semidirect
17. #23777273C2semidirect
18. #23777270C2semidirect
19. #23777266C2semidirect
20. #23777257C2semidirect
21. #23777248C2semidirect
22. #23777217C2semidirect
23. #23777211C2semidirect
24. #23777199C2semidirect
25. #23777182C2semidirect
26. #23777170C2semidirect
27. #23777165C2semidirect
28. #23777133C2semidirect
29. #23777127C2semidirect
30. #23777079C2semidirect
31. #23777074C2semidirect
32. #23776694C2semidirect
33. #533×D79C2semidirect
34. #532×D79C2semidirect
35. C79×#3554C2semidirect
36. C2×#14579209C22semidirect
37. C2×#14579208C22semidirect
39. #19099315C22semidirect
40. #19099314C22semidirect
41. #19099310C22semidirect
42. #19099310C22semidirect
43. #19099310C22semidirect
44. #19099309C22semidirect
45. #19099308C22semidirect
46. #19099299C22semidirect
47. #19099298C22semidirect
48. #19099298C22semidirect
49. #19099298C22semidirect
50. #19099296C22semidirect
51. #19099296C22semidirect
52. #19099295C22semidirect
53. #19099295C22semidirect
54. Q8×Dic158C22semidirect
55. #19099293C22semidirect
56. #19099292C22semidirect
57. #19099291C22semidirect
58. #19099288C22semidirect
59. #19099287C22semidirect
60. #19099285C22semidirect
61. #19099285C22semidirect
62. #19099283C22semidirect
63. #19099282C22semidirect
64. #19099282C22semidirect
65. #19099280C22semidirect
66. #19099277C22semidirect
67. #19099275C22semidirect
68. #19099275C22semidirect
69. #19099273C22semidirect
70. #19099272C22semidirect
71. #19099272C22semidirect
72. #19099272C22semidirect
74. #19099269C22semidirect
75. #19099269C22semidirect
76. #19099269C22semidirect
77. #19099268C22semidirect
79. #19099267C22semidirect
80. #19099267C22semidirect
81. #19099264C22semidirect
82. #19099262C22semidirect
83. #19099258C22semidirect
84. #19099258C22semidirect
85. #19099258C22semidirect
86. #19099256C22semidirect
87. #19099250C22semidirect
88. #19099245C22semidirect
93. #19099235C22semidirect
94. #19099234C22semidirect
95. #19099234C22semidirect
96. #19099234C22semidirect
97. #19099233C22semidirect
98. #19099233C22semidirect
99. #19099233C22semidirect
101. Q8×D316C22semidirect
102. D4×Dic158C22semidirect
103. D4×Dic158C22semidirect
105. #19099228C22semidirect
106. #19099228C22semidirect
109. #19099226C22semidirect
110. #19099226C22semidirect
111. #19099224C22semidirect
112. #19099223C22semidirect
113. #19099223C22semidirect
114. #19099223C22semidirect
115. #19099223C22semidirect
116. #19099222C22semidirect
117. #19099221C22semidirect
118. #19099220C22semidirect
119. #19099220C22semidirect
120. #19099219C22semidirect
121. #19099219C22semidirect
122. #19099218C22semidirect
123. #19099218C22semidirect
124. #19099215C22semidirect
125. #19099215C22semidirect
126. #19099215C22semidirect
127. #19099215C22semidirect
128. #19099214C22semidirect
129. #19099212C22semidirect
130. #19099211C22semidirect
131. #19099211C22semidirect
132. #19099211C22semidirect
133. #19099211C22semidirect
134. #19099211C22semidirect
135. #19099211C22semidirect
147. #19099193C22semidirect
148. #19099192C22semidirect
152. #19099187C22semidirect
153. #19099186C22semidirect
154. #19099186C22semidirect
155. #19099184C22semidirect
156. #19099184C22semidirect
157. #19099183C22semidirect
158. #19099183C22semidirect
159. #19099182C22semidirect
160. #19099182C22semidirect
161. #19099181C22semidirect
162. #19099181C22semidirect
163. #19099181C22semidirect
164. #19099180C22semidirect
165. #19099177C22semidirect
166. #19099168C22semidirect
167. #19099166C22semidirect
168. #19099166C22semidirect
169. #19099165C22semidirect
170. #19099163C22semidirect
171. #19099161C22semidirect
172. #19099161C22semidirect
173. #19099156C22semidirect
174. #19099155C22semidirect
175. #19099154C22semidirect
178. #19099143C22semidirect
179. #19099143C22semidirect
180. #19099142C22semidirect
181. #19099142C22semidirect
182. #19099142C22semidirect
183. #19099142C22semidirect
184. #19099140C22semidirect
185. #19099140C22semidirect
186. #19099139C22semidirect
187. #19099138C22semidirect
188. #19099138C22semidirect
189. #19099135C22semidirect
190. #19099133C22semidirect
191. #19099133C22semidirect
192. #19099133C22semidirect
195. #19099120C22semidirect
203. #19099117C22semidirect
204. #19099117C22semidirect
205. #19099116C22semidirect
206. #19099115C22semidirect
207. #19099115C22semidirect
208. #19099115C22semidirect
209. #19099115C22semidirect
210. #19099115C22semidirect
212. #19099114C22semidirect
216. #19099112C22semidirect
218. #19099111C22semidirect
221. #19099110C22semidirect
222. #19099110C22semidirect
223. #19099110C22semidirect
224. #19099110C22semidirect
226. #19099109C22semidirect
229. #19099108C22semidirect
230. #19099108C22semidirect
231. C2×#14579159C22semidirect
233. C4⋊Q8×D79C22semidirect
234. C4⋊Q8×D79C22semidirect
235. C4⋊Q8×D79C22semidirect
237. #19099100C22semidirect
238. #19099098C22semidirect
239. #19099098C22semidirect
240. #19099097C22semidirect
242. #19099096C22semidirect
243. #19099095C22semidirect
244. #19099092C22semidirect
245. #19099092C22semidirect
247. #19099090C22semidirect
248. #125×D79C22semidirect
264. #19099045C22semidirect
265. #19099044C22semidirect
267. #19099042C22semidirect
268. #19099042C22semidirect
272. #19099031C22semidirect
274. C4×#11929623C22semidirect
275. C4×Q8×D79C22semidirect
276. C4×Q8×D79C22semidirect
277. C4×Q8×D79C22semidirect
282. #562×C79C22semidirect
283. #559×C79C22semidirect
284. #559×C79C22semidirect
285. #557×C79C22semidirect
286. #554×C79C22semidirect
287. #550×C79C22semidirect
288. D4×Q8×C79C22semidirect
289. #548×C79C22semidirect
290. #547×C79C22semidirect
291. #542×C79C22semidirect
292. #542×C79C22semidirect
293. #540×C79C22semidirect
294. #539×C79C22semidirect
295. #536×C79C22semidirect
296. #533×C79C22semidirect
298. #529×C79C22semidirect
1238. C4×D792−1+4semidirect
1323. #3554D79semidirect
1352. C79#62835semidirect
1363. #562C2×D79semidirect
1372. #559C2×D79semidirect
1373. #559C2×D79semidirect
1379. #557C2×D79semidirect
1402. #554C2×D79semidirect
1422. #550C2×D79semidirect
1434. D4×Q8C2×D79semidirect
1446. #548C2×D79semidirect
1461. #547C2×D79semidirect
1492. #542C2×D79semidirect
1493. #542C2×D79semidirect
1499. #540C2×D79semidirect
1505. #539C2×D79semidirect
1523. #536C2×D79semidirect
1542. #533C2×D79semidirect
1581. #529C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779712
#237779612
#237779262
#237778732
#237778712
#237778652
#237778082
#237777942
#237777802
#237776192
#237774842
#237774822
#237774412
#237773102
#237773062
#237773052
#237772732
#237772702
#237772662
#237772572
#237772482
#237772172
#237772112
#237771992
#237771822
#237771702
#237771652
#237771332
#237771272
#237770792
#237770742
#237766942
#533×D792
#532×D792
C79×#35542
#6283579