Finite Group Databasebeta

← #35197129

Subgroups — #35197129

Order 20224.

6528 conjugacy classes of subgroups.

The subgroup lattice has 2550 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778046C212yesmaximal, complemented
2#23778039C212yesmaximal, complemented
3#23778011C214yesmaximal, complemented
4#23777904C214yesmaximal, complemented
5#23777875C212yesmaximal, complemented
6#23777866C212yesmaximal, complemented
7#23777846C211yesmaximal, characteristic, complemented
8#23777838C211yesmaximal, characteristic, complemented
9#23777741C211yesmaximal, characteristic, complemented
10#23777741C211yesmaximal, characteristic, complemented
11#23777608C214yesmaximal, complemented
12#23777492C212yesmaximal, complemented
13#23777479C212yesmaximal, complemented
14#23777452C212yesmaximal, complemented
15#23777446C212yesmaximal, complemented
16#23777417C211yesmaximal, characteristic, complemented
17#23777415C211yesmaximal, characteristic, complemented
18#23777380C212yesmaximal, complemented
19#23777373C211yesmaximal, characteristic, complemented
20#23777372C212yesmaximal, complemented
21#23777289C212yesmaximal, complemented
22#23777263C211yesmaximal, characteristic, complemented
23#23777259C214yesmaximal, complemented
24#23777250C211yesmaximal, characteristic, complemented
25#23777224C212yesmaximal, complemented
26#23777204C211yesmaximal, characteristic, complemented
27#23777197C211yesmaximal, characteristic, complemented
28#23777153C212yesmaximal, complemented
29#23777151C212yesmaximal, complemented
30#23777144C212yesmaximal, complemented
31#23777128C212yesmaximal, complemented
32#23776693C211yesmaximal, characteristic, complemented
33#533×D79C211yesmaximal, characteristic, complemented
34#529×D79C211yesmaximal, characteristic, complemented
35C79×#3515C211yesmaximal, characteristic, complemented
36#19099317C2214yescomplemented
37#19099316C2214yescomplemented
38#19099316C2214yescomplemented
39#19099315C2214yescomplemented
40#19099314C2214yescomplemented
41#19099314C2214yescomplemented
42#19099310C2214yescomplemented
43#19099308C2214yescomplemented
44#19099297C2214yescomplemented
45#19099297C2214yescomplemented
46#19099296C2214yescomplemented
47#19099296C2212yescomplemented
48Q8×Dic158C2212yescomplemented
49Q8×Dic158C2211yescharacteristic, complemented
50Q8×Dic158C2211yescharacteristic, complemented
51#19099292C2212yescomplemented
52#19099290C2214yescomplemented
53#19099290C2212yescomplemented
54#19099290C2212yescomplemented
55#19099290C2214yescomplemented
56#19099290C2214yescomplemented
57#19099288C2211yescharacteristic, complemented
58#19099288C2212yescomplemented
59#19099286C2211yescharacteristic, complemented
60#19099284C2212yescomplemented
61#19099284C2214yescomplemented
62#19099284C2212yescomplemented
63#19099283C2211yescharacteristic, complemented
64#19099283C2212yescomplemented
65#19099283C2212yescomplemented
66#19099281C2214yescomplemented
67#19099281C2212yescomplemented
68#19099281C2214yescomplemented
69#19099281C2214yescomplemented
70#19099280C2214yescomplemented
71#19099280C2214yescomplemented
72#19099280C2214yescomplemented
73#19099278C2212yes—
74#19099278C2211yescharacteristic, complemented
75#19099278C2211yescharacteristic, complemented
76#19099277C2212yes—
77#19099274C2211yescharacteristic, complemented
78#19099274C2211yescharacteristic, complemented
79#19099273C2212yescomplemented
80#19099271C2214yescomplemented
81#19099270C2212yescomplemented
82#19099269C2214yes—
83#19099269C2214yes—
84#19099269C2212yescomplemented
85#19099268C2214yes—
86#19099268C2214yes—
87#19099268C2212yescomplemented
88#19099268C2214yescomplemented
89#19099268C2212yescomplemented
90#19099268C2214yescomplemented
91#19099266C2212yes—
92#19099261C2212yescomplemented
93#19099260C2212yes—
94#19099260C2212yescomplemented
95#19099257C2212yes—
96#19099254C2214yescomplemented
97#19099253C2214yescomplemented
98#19099253C2214yescomplemented
99#19099252C2214yes—
100#19099252C2212yescomplemented
101#19099251C2212yescomplemented
102#19099251C2214yescomplemented
103#19099251C2212yescomplemented
104#19099249C2214yescomplemented
105#19099249C2214yescomplemented
106#19099248C2214yescomplemented
107#19099248C2212yescomplemented
108#19099247C2212yescomplemented
109#19099247C2212yescomplemented
110#19099247C2212yescomplemented
111#19099247C2212yescomplemented
112#19099245C2214yes—
113#19099245C2214yescomplemented
114#19099245C2214yescomplemented
115#19099242C2214yes—
116#19099242C2214yes—
117#19099241C2214yes—
118#19099241C2214yes—
119#19099238C2214yes—
120#19099238C2214yes—
121#19099238C2214yes—
122#19099237C2214yes—
123#19099232C2212yescomplemented
124Q8×D316C2211yescharacteristic, complemented
125D4×Dic158C2211yescharacteristic, complemented
126#19099228C2212yescomplemented
127#19099226C2212yescomplemented
128#19099226C2212yescomplemented
129#19099225C2212yescomplemented
130#19099222C2212yescomplemented
131#19099220C2212yescomplemented
132#19099220C2212yescomplemented
133#19099218C2212yes—
134#19099218C2214yescomplemented
135#19099218C2212yescomplemented
136#19099216C2211yescharacteristic, complemented
137#19099215C2212yescomplemented
138#19099214C2212yes—
139#19099214C2214yescomplemented
140#19099214C2212yescomplemented
141#19099210C2214yes—
142#19099205C2214yes—
143#19099194C2212yescomplemented
144#19099194C2212yescomplemented
145#19099194C2212yescomplemented
146#19099193C2214yes—
147#19099193C2212yes—
148#19099193C2212yes—
149#19099193C2212yescomplemented
150#19099193C2212yescomplemented
151#19099193C2212yescomplemented
152#19099188C2214yes—
153#19099186C2212yescomplemented
154#19099186C2212yescomplemented
155#19099185C2212yescomplemented
156#19099184C2212yescomplemented
157#19099184C2214yescomplemented
158#19099181C2214yes—
159#19099181C2214yescomplemented
160#19099181C2214yescomplemented
161#19099180C2212yescomplemented
162#19099180C2214yescomplemented
163#19099179C2214yescomplemented
164#19099178C2212yescomplemented
165#19099178C2214yescomplemented
166#19099178C2212yescomplemented
167#19099178C2212yescomplemented
168#19099178C2214yescomplemented
169#19099175C2214yescomplemented
170#19099173C2212yescomplemented
171#19099172C2214yescomplemented
172#19099172C2214yescomplemented
173#19099171C2212yescomplemented
174#19099171C2212yescomplemented
175#19099170C2214yescomplemented
176#19099170C2214yescomplemented
177#19099163C2214yes—
178#19099161C2214yescomplemented
179#19099161C2214yescomplemented
180#19099160C2214yescomplemented
181#19099159C2214yes—
182#19099159C2214yescomplemented
183#19099157C2214yescomplemented
184#19099156C2214yescomplemented
185#19099156C2214yescomplemented
186#19099156C2214yescomplemented
187#19099156C2214yescomplemented
188#19099149C2214yes—
189#19099138C2212yescomplemented
190#19099136C2212yes—
191#19099136C2214yescomplemented
192#19099136C2214yescomplemented
193#19099134C2212yescomplemented
194#19099129C2212yes—
195#19099120C2212yescomplemented
196#19099120C2211yescharacteristic, complemented
197#19099119C2212yes—
198#19099119C2212yescomplemented
199#19099119C2214yescomplemented
200#19099118C2212yes—
201#19099118C2211yescharacteristic
202#19099118C2211yescharacteristic
203#19099117C2212yes—
204#19099117C2212yes—
205#19099117C2212yes—
206#19099117C2211yescharacteristic
207#19099117C2211yescharacteristic, complemented
208#19099116C2211yescharacteristic, complemented
209#19099116C2212yescomplemented
210#19099115C2212yescomplemented
211#19099115C2212yescomplemented
212#19099110C2214yes—
213#19099110C2211yescharacteristic
214#19099110C2211yescharacteristic, complemented
215#19099109C2211yescharacteristic, complemented
216C4⋊Q8×D79C2211yescharacteristic, complemented
217C4⋊Q8×D79C2211yescharacteristic, complemented
218#19099100C2211yescharacteristic
219#19099100C2211yescharacteristic
220#19099100C2211yescharacteristic, complemented
221#19099099C2211yescharacteristic
222#19099098C2211yescharacteristic
223#19099098C2212yes—
224#19099098C2212yescomplemented
225#19099097C2211yescharacteristic
226#19099097C2212yescomplemented
227#19099096C2214yes—
228#19099096C2212yes—
229#19099095C2211yescharacteristic
230#19099095C2211yescharacteristic
231#19099095C2212yes—
232#19099095C2211yescharacteristic, complemented
233#19099094C2211yescharacteristic
234#19099093C2212yes—
235#19099093C2212yescomplemented
236#19099093C2212yescomplemented
237#19099092C2211yescharacteristic
238#19099092C2212yescomplemented
239#19099091C2212yes—
240#19099091C2212yes—
241#19099091C2214yescomplemented
242#19099091C2212yescomplemented
243#19099090C2212yes—
244#126×D79C2212yes—
245#125×D79C2211yescharacteristic
246#125×D79C2212yescomplemented
247#125×D79C2212yescomplemented
248#124×D79C2211yescharacteristic
249#19099076C2212yes—
250#19099075C2211yescharacteristic
251#19099072C2212yes—
252#19099072C2212yes—
253#19099070C2212yes—
254#19099070C2211yescharacteristic
255#123×D79C2212yes—
256C2×#14579141C2212yes—
257C22⋊Q8×D79C2212yes—
258C22⋊Q8×D79C2212yes—
259C22⋊Q8×D79C2211yescharacteristic
260C22⋊Q8×D79C2212yes—
261#121×D79C2211yescharacteristic
262#19099045C2212yescomplemented
263#19099044C2212yes—
264#19099044C2212yes—
265#19099044C2214yescomplemented
266#19099043C2214yescomplemented
267#19099040C2212yescomplemented
268#19099039C2212yes—
269#19099039C2212yescomplemented
270#19099035C2212yes—
271C4×#11929624C2212yes—
272C4×#11929624C2212yescomplemented
273C4×#11929624C2211yescharacteristic, complemented
274C4×Q8×D79C2211yescharacteristic
275C4×Q8×D79C2212yescomplemented
276C4×Q8×D79C2212yescomplemented
277C4×D4×D79C2212yes—
278C4×D4×D79C2211yescharacteristic
279#117×D79C2212yes—
280#117×D79C2212yes—
281C2×C42×D79C2211yescharacteristic
282#557×C79C2211yescharacteristic, complemented
283#554×C79C2211yescharacteristic, complemented
284#554×C79C2211yescharacteristic, complemented
285#553×C79C2212yes—
286#552×C79C2212yescomplemented
287#552×C79C2212yescomplemented
288#552×C79C2214yescomplemented
289#547×C79C2211yescharacteristic, complemented
290#547×C79C2212yescomplemented
291#541×C79C2212yescomplemented
292#539×C79C2214yescomplemented
293#533×C79C2211yescharacteristic, complemented
294#529×C79C2211yescharacteristic
295#529×C79C2212yescomplemented
296C2×#125×C79C2212yescomplemented
297#520×C79C2212yescomplemented
298C4×#41×C79C2211yescharacteristic, complemented
299C2×#11929625C2312yes—
300C2×#11929624C2312yes—
301C2×#11929624C2314yes—
302C2×#11929624C2314yes—
303C2×#11929624C2312yes—
304C2×#11929624C2311yescharacteristic
305C22×Dic158C2312yes—
306C2×Q8×D79C2311yescharacteristic
307C2×Q8×D79C2312yes—
308C2×Q8×D79C2312yes—
309C2×Q8×D79C2312yes—
310C2×D4×D79C2311yescharacteristic
311C2×D4×D79C2312yes—
312C22×C4×D79C2311yescharacteristic
313C22×C4×D79C2311yescharacteristic
314C22×C4×D79C2311yescharacteristic
315C22×C4×D79C2312yes—
316#14579161C2314yes—
317#14579161C2312yes—
318#14579161C2312yes—
319#14579161C2312yes—
320#14579161C2311yescharacteristic
321#14579161C2311yescharacteristic
322#14579160C2314yes—
323#14579160C2314yes—
324#14579160C2314yes—
325#14579160C2314yes—
326#14579160C2314yes—
327#14579160C2314yes—
328#14579160C2314yes—
329#14579160C2314yes—
330#14579160C2312yes—
331#14579160C2312yes—
332#14579160C2312yes—
333#14579160C2312yes—
334#14579160C2314yes—
335#14579160C2314yes—
336#14579160C2312yes—
337#14579160C2312yes—
338#14579160C2311yescharacteristic
339#14579160C2311yescharacteristic
340#14579160C2312yes—
341#14579159C2312yes—
342#14579159C2312yes—
343#14579159C2311yescharacteristic
344#14579159C2312yes—
345#14579157C2314yes—
346#14579157C2311yescharacteristic
347#14579156C2314yes—
348#14579156C2314yes—
349#14579156C2314yes—
350#14579156C2314yes—
351#14579156C2312yes—
352#14579156C2314yes—
353#14579156C2314yes—
354#14579156C2312yes—
355#14579156C2314yes—
356#14579156C2314yes—
357#14579156C2312yes—
358#14579156C2312yes—
359#14579156C2312yes—
360#14579155C2314yes—
361#14579155C2314yes—
362#14579155C2314yes—
363#14579155C2312yes—
364#14579154C2314yes—
365#14579154C2312yes—
366#14579154C2314yes—
367#14579154C2314yes—
368#14579154C2314yes—
369#14579154C2314yes—
370#14579154C2314yes—
371#14579154C2314yes—
372#14579154C2314yes—
373#14579154C2314yes—
374#14579154C2312yes—
375#14579154C2314yes—
376#14579154C2314yes—
377#14579154C2314yes—
378#14579154C2312yes—
379#14579154C2312yes—
380#14579154C2312yes—
381#14579153C2314yes—
382#14579153C2314yes—
383#14579153C2311yescharacteristic
384#14579153C2312yes—
385#14579152C2314yes—
386#14579152C2314yes—
387#14579152C2314yes—
388#14579152C2314yes—
389#14579152C2314yes—
390#14579152C2311yescharacteristic
391#14579152C2312yes—
392#14579152C2311yescharacteristic
393#14579152C2312yes—
394#14579152C2312yes—
395#14579152C2311yescharacteristic
396#14579152C2311yescharacteristic
397#14579152C2312yes—
398#14579152C2312yes—
399#14579151C2314yes—
400#14579151C2314yes—
401#14579151C2314yes—
402#14579151C2314yes—
403#14579151C2314yes—
404#14579151C2314yes—
405#14579151C2314yes—
406#14579151C2314yes—
407#14579151C2314yes—
408#14579151C2314yes—
409#14579151C2314yes—
410#14579151C2312yes—
411#14579151C2314yes—
412#14579151C2314yes—
413#14579151C2314yes—
414#14579151C2314yes—
415#14579151C2312yes—
416#14579151C2312yes—
417#14579151C2312yes—
418#14579150C2311yescharacteristic
419#14579150C2311yescharacteristic
420#14579149C2312yes—
421#14579149C2314yes—
422#14579149C2311yescharacteristic
423#14579148C2311yescharacteristic
424#14579148C2311yescharacteristic
425#14579148C2314yes—
426#14579148C2314yes—
427#14579148C2312yes—
428#14579148C2314yes—
429#14579147C2314yes—
430#14579147C2314yes—
431#14579147C2314yes—
432#14579147C2314yes—
433#14579147C2314yes—
434#14579147C2312yes—
435#14579147C2314yes—
436#14579147C2314yes—
437#14579147C2314yes—
438#14579147C2314yes—
439#14579147C2314yes—
440#14579147C2312yes—
441#14579147C2312yes—
442#14579147C2312yes—
443#14579146C2314yes—
444#14579146C2312yes—
445#14579146C2312yes—
446#14579146C2314yes—
447#14579146C2314yes—
448#14579146C2314yes—
449#14579146C2314yes—
450#14579146C2314yes—
451#14579146C2314yes—
452#14579146C2314yes—
453#14579146C2312yes—
454#14579146C2312yes—
455#14579145C2312yes—
456#14579145C2312yes—
457#14579144C2314yes—
458#14579144C2314yes—
459#14579144C2312yes—
460#14579144C2314yes—
461#14579144C2314yes—
462#14579143C2314yes—
463#14579143C2312yes—
464#14579143C2312yes—
465#14579143C2314yes—
466#14579143C2314yes—
467#14579143C2314yes—
468#14579143C2314yes—
469#14579143C2314yes—
470#14579143C2314yes—
471#14579143C2314yes—
472#14579143C2314yes—
473#14579143C2312yes—
474#14579143C2312yes—
475#14579142C2312yes—
476#14579142C2314yes—
477#14579142C2314yes—
478#14579142C2314yes—
479#14579142C2312yes—
480#14579141C2312yes—
481#14579141C2314yes—
482#14579141C2314yes—
483#14579141C2312yes—
484#14579141C2314yes—
485#14579141C2314yes—
486#14579141C2314yes—
487#14579141C2312yes—
488#14579141C2312yes—
489#14579141C2314yes—
490#14579141C2314yes—
491#14579141C2311yescharacteristic
492#14579141C2311yescharacteristic
493#14579141C2312yes—
494#14579141C2311yescharacteristic
495#14579140C2312yes—
496#14579140C2314yes—
497#14579140C2314yes—
498#14579140C2314yes—
499#14579140C2314yes—
500#14579140C2314yes—
501#14579140C2314yes—
502#14579140C2312yes—
503#14579140C2314yes—
504#14579140C2314yes—
505#14579140C2312yes—
506#14579140C2314yes—
507#14579140C2314yes—
508#14579140C2312yes—
509#14579140C2311yescharacteristic
510#14579139C2314yes—
511#14579139C2314yes—
512#14579139C2314yes—
513#14579139C2314yes—
514#14579139C2314yes—
515#14579139C2314yes—
516#14579139C2314yes—
517#14579139C2314yes—
518#14579139C2314yes—
519#14579139C2314yes—
520#14579139C2314yes—
521#14579139C2312yes—
522#14579139C2314yes—
523#14579139C2314yes—
524#14579139C2314yes—
525#14579139C2314yes—
526#14579139C2312yes—
527#14579139C2312yes—
528#14579138C2314yes—
529#14579138C2314yes—
530#14579138C2314yes—
531#14579138C2314yes—
532#14579138C2314yes—
533#14579138C2312yes—
534#14579138C2312yes—
535#14579138C2314yes—
536#14579138C2312yes—
537#14579137C2312yes—
538#14579137C2314yes—
539#14579137C2314yes—
540#14579137C2312yes—
541#14579137C2312yes—
542#14579137C2311yescharacteristic
543#14579137C2311yescharacteristic
544#14579137C2311yescharacteristic
545#14579137C2312yes—
546#14579136C2314yes—
547#14579136C2312yes—
548#14579136C2311yescharacteristic
549#14579136C2311yescharacteristic
550#14579136C2311yescharacteristic
551#14579135C2314yes—
552#14579135C2312yes—
553#14579135C2312yes—
554#14579135C2311yescharacteristic
555#14579134C2312yes—
556#14579134C2314yes—
557#14579134C2312yes—
558#14579134C2312yes—
559#14579133C2314yes—
560#14579133C2312yes—
561#14579133C2312yes—
562#14579133C2312yes—
563#14579132C2314yes—
564#14579132C2314yes—
565#14579132C2314yes—
566#14579132C2312yes—
567#14579132C2312yes—
568#14579132C2311yescharacteristic
569#14579132C2311yescharacteristic
570#14579132C2311yescharacteristic
571#14579131C2314yes—
572#14579131C2312yes—
573#14579129C2314yes—
574#14579129C2312yes—
575Q8×Dic79C2312yes—
576Q8×Dic79C2312yes—
577Q8×Dic79C2312yes—
578Q8×Dic79C2312yes—
579Q8×Dic79C2311yescharacteristic
580Q8×Dic79C2312yes—
581C4×Dic158C2314yes—
582C4×Dic158C2314yes—
583C4×Dic158C2311yescharacteristic
584C4×Dic158C2312yes—
585C4×Dic158C2312yes—
586C4×Dic158C2314yes—
587C4×Dic158C2312yes—
588C4×Dic158C2312yes—
589C4×Dic158C2314yes—
590C4×Dic158C2312yes—
591C4×Dic158C2314yes—
592C4×Dic158C2311yescharacteristic
593C4×Dic158C2314yes—
594C4×Dic158C2312yes—
595C4×Dic158C2311yescharacteristic
596C4×Dic158C2312yes—
597C4×Dic158C2312yes—
598C4×Dic158C2312yes—
599C4×Dic158C2312yes—
600#14579126C2314yes—
601#14579126C2314yes—
602#14579126C2314yes—
603#14579126C2314yes—
604#14579126C2312yes—
605#14579126C2314yes—
606#14579126C2312yes—
607#14579126C2314yes—
608#14579126C2314yes—
609#14579126C2314yes—
610#14579126C2312yes—
611#14579126C2311yescharacteristic
612#14579126C2314yes—
613#14579126C2314yes—
614#14579126C2312yes—
615#14579126C2312yes—
616C4×D316C2312yes—
617C4×D316C2314yes—
618C4×D316C2311yescharacteristic
619C4×D316C2314yes—
620C4×D316C2312yes—
621C4×D316C2311yescharacteristic
622C4×D316C2311yescharacteristic
623C4×D316C2312yes—
624C4×D316C2312yes—
625C4×D316C2312yes—
626C4×D316C2312yes—
627D4×Dic79C2312yes—
628D4×Dic79C2312yes—
629D4×Dic79C2311yescharacteristic
630#14579123C2314yes—
631#14579123C2314yes—
632#14579123C2314yes—
633#14579123C2312yes—
634#14579123C2314yes—
635#14579123C2312yes—
636#14579123C2312yes—
637#14579123C2311yescharacteristic
638C4×C22⋊D79C2314yes—
639C4×C22⋊D79C2312yes—
640C4×C22⋊D79C2312yes—
641C4×C22⋊D79C2314yes—
642C4×C22⋊D79C2314yes—
643C4×C22⋊D79C2314yes—
644C4×C22⋊D79C2312yes—
645C4×C22⋊D79C2314yes—
646C4×C22⋊D79C2314yes—
647C4×C22⋊D79C2314yes—
648C4×C22⋊D79C2314yes—
649C4×C22⋊D79C2312yes—
650C4×C22⋊D79C2312yes—
651C4×C22⋊D79C2312yes—
652C4×C22⋊D79C2312yes—
653C4×C22⋊D79C2312yes—
654C4×C22⋊D79C2312yes—
655C4×C22⋊D79C2312yes—
656C4×C22⋊D79C2312yes—
657C4×C22⋊D79C2312yes—
658C4×C22⋊D79C2312yes—
659(C22⋊D79)⋊C4C2312yes—
660(C22⋊D79)⋊C4C2312yes—
661(C22⋊D79)⋊C4C2314yes—
662(C22⋊D79)⋊C4C2314yes—
663(C22⋊D79)⋊C4C2314yes—
664(C22⋊D79)⋊C4C2314yes—
665(C22⋊D79)⋊C4C2312yes—
666#14579120C2312yes—
667#14579120C2312yes—
668#14579120C2314yes—
669#14579120C2312yes—
670#14579120C2312yes—
671#14579120C2312yes—
672#14579120C2311yescharacteristic
673#14579120C2312yes—
674#14579120C2312yes—
675#14579119C2312yes—
676#14579119C2314yes—
677#14579119C2314yes—
678#14579119C2314yes—
679#14579119C2314yes—
680#14579119C2314yes—
681#14579119C2314yes—
682#14579119C2312yes—
683#14579119C2312yes—
684#14579119C2312yes—
685#14579119C2312yes—
686#14579119C2312yes—
687#14579119C2312yes—
688#14579118C2312yes—
689#14579118C2312yes—
690#14579118C2312yes—
691#14579118C2314yes—
692#14579118C2314yes—
693#14579118C2312yes—
694#14579118C2314yes—
695#14579118C2314yes—
696#14579118C2312yes—
697#14579118C2312yes—
698#14579118C2312yes—
699#14579117C2314yes—
700#14579117C2314yes—
701#14579117C2314yes—
702#14579117C2312yes—
703#14579117C2312yes—
704C2×C4⋊Dic79C2314yes—
705C4⋊C4×D79C2312yes—
706C4⋊C4×D79C2314yes—
707C4⋊C4×D79C2314yes—
708C4⋊C4×D79C2314yes—
709C4⋊C4×D79C2312yes—
710C4⋊C4×D79C2314yes—
711C4⋊C4×D79C2311yescharacteristic
712C4⋊C4×D79C2311yescharacteristic
713C4⋊C4×D79C2312yes—
714C4⋊C4×D79C2312yes—
715C4⋊C4×D79C2312yes—
716C4⋊C4×D79C2312yes—
717C4⋊C4×D79C2314yes—
718C4⋊C4×D79C2312yes—
719C4⋊C4×D79C2312yes—
720C4⋊C4×D79C2312yes—
721C4⋊C4×D79C2312yes—
722C4⋊C4×D79C2312yes—
723C2×(C2×D79)⋊C4C2314yes—
724C22⋊C4×D79C2312yes—
725C22⋊C4×D79C2314yes—
726C22⋊C4×D79C2314yes—
727C22⋊C4×D79C2312yes—
728C22⋊C4×D79C2312yes—
729C22⋊C4×D79C2312yes—
730C22⋊C4×D79C2312yes—
731C2×C4×Dic79C2311yescharacteristic
732C2×C4×Dic79C2311yescharacteristic
733C2×C4×Dic79C2311yescharacteristic
734C42×D79C2311yescharacteristic
735C42×D79C2311yescharacteristic
736C42×D79C2311yescharacteristic
737C42×D79C2311yescharacteristic
738C42×D79C2311yescharacteristic
739C42×D79C2311yescharacteristic
740C42×D79C2311yescharacteristic
741C42×D79C2311yescharacteristic
742C42×D79C2312yes—
743C42×D79C2314yes—
744C42×D79C2312yes—
745C2×#41×C79C2311yescharacteristic
746C2×#41×C79C2312yes—
747C4⋊Q8×C79C2312yes—
748C4⋊Q8×C79C2311yescharacteristic
749C4⋊Q8×C79C2311yescharacteristic
750#126×C79C2314yes—
751#126×C79C2314yes—
752#126×C79C2314yes—
753#126×C79C2312yes—
754#125×C79C2314yes—
755#125×C79C2314yes—
756#125×C79C2314yes—
757#125×C79C2312yes—
758#125×C79C2312yes—
759#125×C79C2312yes—
760#125×C79C2314yes—
761#125×C79C2311yescharacteristic
762#125×C79C2312yes—
763#124×C79C2311yescharacteristic
764#123×C79C2314yes—
765#123×C79C2314yes—
766#123×C79C2314yes—
767#123×C79C2314yes—
768#123×C79C2312yes—
769C22⋊Q8×C79C2312yes—
770C22⋊Q8×C79C2314yes—
771C22⋊Q8×C79C2314yes—
772C22⋊Q8×C79C2312yes—
773C22⋊Q8×C79C2312yes—
774C22⋊Q8×C79C2312yes—
775C22⋊Q8×C79C2312yes—
776C22⋊Q8×C79C2311yescharacteristic
777#121×C79C2314yes—
778#121×C79C2312yes—
779#121×C79C2311yescharacteristic
780C4×Q8×C79C2312yes—
781C4×Q8×C79C2312yes—
782C4×Q8×C79C2312yes—
783C4×Q8×C79C2311yescharacteristic
784C4×Q8×C79C2311yescharacteristic
785C4×Q8×C79C2311yescharacteristic
786C4×Q8×C79C2312yes—
787C4×D4×C79C2311yescharacteristic
788C4×D4×C79C2312yes—
789C4×D4×C79C2312yes—
790C4×D4×C79C2312yes—
791C4×D4×C79C2314yes—
792C4×D4×C79C2314yes—
793C4×D4×C79C2312yes—
794C4×D4×C79C2311yescharacteristic
795C4×D4×C79C2311yescharacteristic
796C4×D4×C79C2312yes—
797#117×C79C2314yes—
798#117×C79C2312yes—
799#117×C79C2314yes—
800#117×C79C2311yescharacteristic
801#117×C79C2312yes—
802#117×C79C2312yes—
803C2×C4⋊C4×C79C2314yes—
804C2×C4⋊C4×C79C2312yes—
805C2×C4⋊C4×C79C2312yes—
806C2×C4⋊C4×C79C2312yes—
807C2×C4⋊C4×C79C2314yes—
808C2×C42×C79C2312yes—
809C2×C42×C79C2311yescharacteristic
810C23×D79C2411yescharacteristic
811C23×D79C2412yes—
812#11929625—44no—
813#11929624—28no—
814#11929624—48no—
815#11929624—44no—
816#11929624—48no—
817#11929624—42no—
818C2×Dic158—44no—
819C2×Dic158C2412yes—
820C2×Dic158C2412yes—
821C2×Dic158C2411yescharacteristic
822C2×Dic158C2411yescharacteristic
823C2×Dic158C2412yes—
824C2×Dic158C2414yes—
825C2×Dic158C2414yes—
826C2×Dic158C2414yes—
827C2×Dic158C2412yes—
828C2×Dic158C2414yes—
829C2×Dic158C2414yes—
830C2×Dic158C2412yes—
831C2×Dic158C2414yes—
832Q8×D79—24no—
833Q8×D79—44no—
834Q8×D79—44no—
835Q8×D79—44no—
836C2×D316C2412yes—
837C2×D316C2412yes—
838C2×D316C2411yescharacteristic
839C2×D316C2412yes—
840C2×D316C2411yescharacteristic
841C2×D316C2414yes—
842C2×C22⋊D79C2412yes—
843C2×C22⋊D79C2412yes—
844C2×C22⋊D79C2412yes—
845C2×C22⋊D79C2412yes—
846C2×C22⋊D79C2412yes—
847C2×C22⋊D79C2414yes—
848C2×C22⋊D79C2414yes—
849C2×C22⋊D79C2412yes—
850C2×C22⋊D79C2412yes—
851C2×C22⋊D79C2412yes—
852D4×D79—24no—
853D4×D79—44no—
854C22×Dic79C2411yescharacteristic
855C22×Dic79C2414yes—
856C22×Dic79C2411yescharacteristic
857C22×Dic79C2411yescharacteristic
858C22×Dic79C2412yes—
859C2×C4×D79—24no—
860C2×C4×D79—44no—
861C2×C4×D79—42no—
862C2×C4×D79—42no—
863C2×C4×D79C2411yescharacteristic
864C2×C4×D79C2411yescharacteristic
865C2×C4×D79C2414yes—
866C2×C4×D79C2412yes—
867C2×C4×D79C2412yes—
868C2×C4×D79C2411yescharacteristic
869C2×C4×D79C2412yes—
870C2×C4×D79C2411yescharacteristic
871C2×C4×D79C2411yescharacteristic
872C2×C4×D79C2411yescharacteristic
873C2×C4×D79C2411yescharacteristic
874C2×C4×D79C2414yes—
875C2×C4×D79C2414yes—
876C2×C4×D79C2412yes—
877C2×C4×D79C2412yes—
878C2×C4×D79C2414yes—
879C2×C4×D79C2414yes—
880C2×C4×D79C2414yes—
881C2×C4×D79C2411yescharacteristic
882C2×C4×D79C2411yescharacteristic
883C2×C4×D79C2411yescharacteristic
884C2×C4×D79C2411yescharacteristic
885C2×C4×D79C2412yes—
886C2×C4×D79C2412yes—
887C2×C4×D79C2412yes—
888C2×C4×D79C2411yescharacteristic
889C4⋊Dic79C2411yescharacteristic
890C4⋊Dic79C2411yescharacteristic
891C4⋊Dic79C2414yes—
892C4⋊Dic79C2411yescharacteristic
893C4⋊Dic79C2414yes—
894C4⋊Dic79C2412yes—
895C4⋊Dic79C2412yes—
896C4⋊Dic79C2412yes—
897C4⋊Dic79C2412yes—
898C4⋊Dic79C2412yes—
899C4⋊Dic79C2412yes—
900C4⋊Dic79C2414yes—
901C4⋊Dic79C2414yes—
902C4⋊Dic79C2412yes—
903C4⋊Dic79C2412yes—
904C4⋊Dic79C2412yes—
905C4⋊Dic79C2414yes—
906C4⋊Dic79C2414yes—
907C4⋊Dic79C2414yes—
908C4⋊Dic79C2414yes—
909C4⋊Dic79C2411yescharacteristic
910C4⋊Dic79C2412yes—
911C4⋊Dic79C2412yes—
912C4⋊Dic79C2412yes—
913Dic79⋊C4C2412yes—
914Dic79⋊C4C2412yes—
915Dic79⋊C4C2412yes—
916Dic79⋊C4C2414yes—
917Dic79⋊C4C2412yes—
918Dic79⋊C4C2414yes—
919Dic79⋊C4C2412yes—
920Dic79⋊C4C2412yes—
921Dic79⋊C4C2414yes—
922Dic79⋊C4C2414yes—
923Dic79⋊C4C2412yes—
924Dic79⋊C4C2414yes—
925Dic79⋊C4C2414yes—
926Dic79⋊C4C2412yes—
927Dic79⋊C4C2414yes—
928Dic79⋊C4C2412yes—
929Dic79⋊C4C2414yes—
930Dic79⋊C4C2414yes—
931Dic79⋊C4C2414yes—
932Dic79⋊C4C2412yes—
933Dic79⋊C4C2414yes—
934Dic79⋊C4C2414yes—
935Dic79⋊C4C2414yes—
936Dic79⋊C4C2412yes—
937Dic79⋊C4C2412yes—
938Dic79⋊C4C2414yes—
939Dic79⋊C4C2414yes—
940Dic79⋊C4C2412yes—
941Dic79⋊C4C2412yes—
942Dic79⋊C4C2412yes—
943Dic79⋊C4C2412yes—
944Dic79⋊C4C2412yes—
945Dic79⋊C4C2412yes—
946Dic79⋊C4C2412yes—
947Dic79⋊C4C2412yes—
948Dic79⋊C4C2414yes—
949Dic79⋊C4C2414yes—
950Dic79⋊C4C2414yes—
951C22⋊Dic79C2414yes—
952C22⋊Dic79C2412yes—
953C22⋊Dic79C2412yes—
954C22⋊Dic79C2412yes—
955C22⋊Dic79C2414yes—
956C22⋊Dic79C2412yes—
957C22⋊Dic79C2412yes—
958C22⋊Dic79C2414yes—
959C22⋊Dic79C2412yes—
960C22⋊Dic79C2412yes—
961C22⋊Dic79C2414yes—
962C22⋊Dic79C2414yes—
963C22⋊Dic79C2412yes—
964C22⋊Dic79C2412yes—
965C22⋊Dic79C2412yes—
966C22⋊Dic79C2414yes—
967(C2×D79)⋊C4C2414yes—
968(C2×D79)⋊C4C2412yes—
969(C2×D79)⋊C4C2412yes—
970(C2×D79)⋊C4C2414yes—
971(C2×D79)⋊C4C2412yes—
972(C2×D79)⋊C4C2412yes—
973(C2×D79)⋊C4C2412yes—
974(C2×D79)⋊C4C2412yes—
975(C2×D79)⋊C4C2412yes—
976(C2×D79)⋊C4C2412yes—
977(C2×D79)⋊C4C2412yes—
978(C2×D79)⋊C4C2412yes—
979(C2×D79)⋊C4C2412yes—
980(C2×D79)⋊C4C2412yes—
981(C2×D79)⋊C4C2414yes—
982(C2×D79)⋊C4C2414yes—
983(C2×D79)⋊C4C2412yes—
984(C2×D79)⋊C4C2412yes—
985(C2×D79)⋊C4C2412yes—
986(C2×D79)⋊C4C2412yes—
987(C2×D79)⋊C4C2414yes—
988(C2×D79)⋊C4C2412yes—
989(C2×D79)⋊C4C2412yes—
990(C2×D79)⋊C4C2412yes—
991(C2×D79)⋊C4C2412yes—
992(C2×D79)⋊C4C2414yes—
993(C2×D79)⋊C4C2414yes—
994(C2×D79)⋊C4C2414yes—
995(C2×D79)⋊C4C2414yes—
996(C2×D79)⋊C4C2414yes—
997C4×Dic79C2411yescharacteristic
998C4×Dic79C2411yescharacteristic
999C4×Dic79C2411yescharacteristic
1000C4×Dic79C2411yescharacteristic
1001C4×Dic79C2411yescharacteristic
1002C4×Dic79C2411yescharacteristic
1003C4×Dic79C2411yescharacteristic
1004C4×Dic79C2411yescharacteristic
1005C4×Dic79C2411yescharacteristic
1006C4×Dic79C2411yescharacteristic
1007C4×Dic79C2411yescharacteristic
1008C4×Dic79C2411yescharacteristic
1009C4×Dic79C2412yes—
1010C4×Dic79C2414yes—
1011C4×Dic79C2412yes—
1012C4×Dic79C2412yes—
1013C4×Dic79C2414yes—
1014C4×Dic79C2414yes—
1015C4×Dic79C2412yes—
1016C4×Dic79C2412yes—
1017C4×Dic79C2412yes—
1018C4×Dic79C2414yes—
1019C4×Dic79C2414yes—
1020C4×Dic79C2414yes—
1021C4×Dic79C2414yes—
1022C4×Dic79C2414yes—
1023C4×Dic79C2414yes—
1024C4×Dic79C2414yes—
1025#41×C79—44no—
1026#41×C79—42no—
1027C2×Q8×C79C2411yescharacteristic
1028C2×Q8×C79C2412yes—
1029C2×Q8×C79C2411yescharacteristic
1030C2×Q8×C79C2412yes—
1031C2×D4×C79C2411yescharacteristic
1032C2×D4×C79C2411yescharacteristic
1033C2×D4×C79C2412yes—
1034C2×D4×C79C2414yes—
1035C2×D4×C79C2412yes—
1036C22×C4×C79C2412yes—
1037C22×C4×C79C2412yes—
1038C22×C4×C79C2411yescharacteristic
1039C22×C4×C79C2411yescharacteristic
1040C22×C4×C79C2412yes—
1041C22×C4×C79C2414yes—
1042C22×C4×C79C2414yes—
1043C22×C4×C79C2412yes—
1044C22×C4×C79C2411yescharacteristic
1045C22×C4×C79C2414yes—
1046C4⋊C4×C79C2411yescharacteristic
1047C4⋊C4×C79C2414yes—
1048C4⋊C4×C79C2412yes—
1049C4⋊C4×C79C2411yescharacteristic
1050C4⋊C4×C79C2412yes—
1051C4⋊C4×C79C2411yescharacteristic
1052C4⋊C4×C79C2412yes—
1053C4⋊C4×C79C2412yes—
1054C4⋊C4×C79C2414yes—
1055C4⋊C4×C79C2412yes—
1056C4⋊C4×C79C2414yes—
1057C4⋊C4×C79C2414yes—
1058C4⋊C4×C79C2414yes—
1059C4⋊C4×C79C2414yes—
1060C4⋊C4×C79C2414yes—
1061C4⋊C4×C79C2414yes—
1062C4⋊C4×C79C2412yes—
1063C4⋊C4×C79C2411yescharacteristic
1064C4⋊C4×C79C2412yes—
1065C4⋊C4×C79C2412yes—
1066C4⋊C4×C79C2414yes—
1067C4⋊C4×C79C2412yes—
1068C4⋊C4×C79C2412yes—
1069C4⋊C4×C79C2414yes—
1070C22⋊C4×C79C2412yes—
1071C22⋊C4×C79C2412yes—
1072C22⋊C4×C79C2412yes—
1073C22⋊C4×C79C2412yes—
1074C22⋊C4×C79C2414yes—
1075C22⋊C4×C79C2412yes—
1076C22⋊C4×C79C2412yes—
1077C22⋊C4×C79C2414yes—
1078C22⋊C4×C79C2414yes—
1079C22⋊C4×C79C2414yes—
1080C22⋊C4×C79C2412yes—
1081C22⋊C4×C79C2412yes—
1082C42×C79C2411yescharacteristic
1083C42×C79C2412yes—
1084C42×C79C2411yescharacteristic
1085C42×C79C2411yescharacteristic
1086C42×C79C2412yes—
1087C42×C79C2411yescharacteristic
1088C42×C79C2412yes—
1089C42×C79C2414yes—
1090C42×C79C2414yes—
1091C42×C79C2412yes—
1092C23×C79C2512yes—
1093C23×C79C2512yes—
1094C23×C79C2511yescharacteristic
1095C22×D79—22no—
1096C22×D79—22no—
1097C22×D79—24no—
1098C22×D79—41no—
1099C22×D79—42no—
1100C22×D79—42no—
1101C22×D79C2512yes—
1102C22×D79C2512yes—
1103C22×D79C2511yescharacteristic
1104C22×D79C2511yescharacteristic
1105Q8×C79—22no—
1106Q8×C79—22no—
1107Q8×C79—24no—
1108Q8×C79—42no—
1109D4×C79—22no—
1110D4×C79—22no—
1111D4×C79—42no—
1112D4×C79—42no—
1113D4×C79—44no—
1114C2×C4×C79—22no—
1115C2×C4×C79—24no—
1116C2×C4×C79—24no—
1117C2×C4×C79—22no—
1118C2×C4×C79—41no—
1119C2×C4×C79—42no—
1120C2×C4×C79—44no—
1121C2×C4×C79—44no—
1122C2×C4×C79—44no—
1123C2×C4×C79—42no—
1124C2×C4×C79C2511yescharacteristic
1125C2×C4×C79C2512yes—
1126C2×C4×C79C2511yescharacteristic
1127C2×C4×C79C2511yescharacteristic
1128C2×C4×C79C2512yes—
1129C2×C4×C79C2512yes—
1130C2×C4×C79C2511yescharacteristic
1131C2×C4×C79C2512yes—
1132C2×C4×C79C2512yes—
1133C2×C4×C79C2514yes—
1134C2×C4×C79C2514yes—
1135C2×C4×C79C2512yes—
1136C2×C4×C79C2511yescharacteristic
1137C2×C4×C79C2511yescharacteristic
1138C22⋊D79—24no—
1139C22⋊D79—24no—
1140C22⋊D79—24no—
1141C22⋊D79—24no—
1142C22⋊D79—24no—
1143C22⋊D79—42no—
1144C22⋊D79—44no—
1145C22⋊D79—44no—
1146C22⋊D79—42no—
1147C22⋊D79—42no—
1148C2×Dic79—22no—
1149C2×Dic79—41no—
1150C2×Dic79—41no—
1151C2×Dic79—42no—
1152C2×Dic79—44no—
1153C2×Dic79C2511yescharacteristic
1154C2×Dic79C2512yes—
1155C2×Dic79C2512yes—
1156C2×Dic79C2514yes—
1157C2×Dic79C2511yescharacteristic
1158C2×Dic79C2514yes—
1159C2×Dic79C2511yescharacteristic
1160C2×Dic79C2511yescharacteristic
1161C2×Dic79C2512yes—
1162C2×Dic79C2512yes—
1163C2×Dic79C2511yescharacteristic
1164C2×Dic79C2512yes—
1165C2×Dic79C2512yes—
1166C2×Dic79C2511yescharacteristic
1167D316—24no—
1168D316—24no—
1169D316—24no—
1170D316—22no—
1171D316—22no—
1172D316—44no—
1173C4×D79—22no—
1174C4×D79—24no—
1175C4×D79—22no—
1176C4×D79—22no—
1177C4×D79—28no—
1178C4×D79—22no—
1179C4×D79—24no—
1180C4×D79—22no—
1181C4×D79—22no—
1182C4×D79—24no—
1183C4×D79—22no—
1184C4×D79—41no—
1185C4×D79—41no—
1186C4×D79—41no—
1187C4×D79—42no—
1188C4×D79—42no—
1189C4×D79—41no—
1190C4×D79—42no—
1191C4×D79—44no—
1192C4×D79—44no—
1193C4×D79—44no—
1194C4×D79—42no—
1195C4×D79—44no—
1196C4×D79—42no—
1197C4×D79—44no—
1198C4×D792−1+414yes—
1199Dic158—22no—
1200Dic158—24no—
1201Dic158—22no—
1202Dic158—24no—
1203Dic158—24no—
1204Dic158—42no—
1205Dic158—44no—
1206Dic158—44no—
1207Dic158—44no—
1208Dic158—44no—
1209Dic158—44no—
1210Dic158—44no—
1211Dic158—42no—
1212C22×C79—22no—
1213C22×C79—22no—
1214C22×C79—21no—
1215C22×C79—22no—
1216C22×C79—22no—
1217C22×C79—21no—
1218C22×C79—21no—
1219C22×C79—22no—
1220C22×C79—22no—
1221C22×C79C2611yescharacteristic
1222C2×D79—21no—
1223C2×D79—21no—
1224C2×D79—21no—
1225C2×D79—21no—
1226C2×D79—22no—
1227C2×D79—22no—
1228C2×D79—22no—
1229C2×D79—22no—
1230C2×D79—22no—
1231C2×D79—22no—
1232C2×D79—44no—
1233C2×D79—84no—
1234C2×D79C2×2−1+412yes—
1235C2×D79#58512yes—
1236C4×C79—22no—
1237C4×C79—21no—
1238C4×C79—22no—
1239C4×C79—22no—
1240C4×C79—21no—
1241C4×C79—22no—
1242C4×C79—21no—
1243C4×C79—22no—
1244C4×C79—24no—
1245C4×C79—22no—
1246C4×C79—24no—
1247C4×C79—21no—
1248C4×C79C2×2−1+412yes—
1249C4×C79#58512yes—
1250Dic79—22no—
1251Dic79—22no—
1252Dic79—21no—
1253Dic79—22no—
1254Dic79—22no—
1255Dic79—24no—
1256Dic79—21no—
1257Dic79—22no—
1258Dic79—24no—
1259Dic79—21no—
1260Dic79—21no—
1261Dic79—22no—
1262Dic79—21no—
1263Dic79C2×2−1+412yes—
1264#62831—791nomaximal, Sylow
1265C2×C79—41no—
1266C2×C79—42no—
1267C2×C79—42no—
1268C2×C79C22×2−1+411yescharacteristic
1269C2×C79C2×#58511yescharacteristic
1270C2×C79C2×#58511yescharacteristic
1271D79—22no—
1272D79—22no—
1273D79—42no—
1274D79—42no—
1275#3565—792no—
1276#3565—792no—
1277#3564—794no—
1278#3557—794no—
1279#3555—792no—
1280#3554—792no—
1281#3552—791no—
1282#3552—791no—
1283#3544—791no—
1284#3544—791no—
1285#3535—794no—
1286#3523—792no—
1287#3522—792no—
1288#3520—792no—
1289#3520—792no—
1290#3518—791no—
1291#3518—791no—
1292#3515—791no—
1293#3515—792no—
1294#3515—792no—
1295#3515D7911yescharacteristic, complemented
1296#3510—792no—
1297#3507—791no—
1298#3507—794no—
1299#3506—791no—
1300#3504—792no—
1301#3502—791no—
1302#3501—791no—
1303#3495—792no—
1304#3495—792no—
1305#3495—792no—
1306#3494—792no—
1307#3444—791no—
1308C2×#533—791no—
1309C2×#529—791no—
1310C79#6283111yescharacteristic, complemented, Sylow
1311#563—794no—
1312#563—794no—
1313#563—794no—
1314#563—794no—
1315#563—794no—
1316#563—794no—
1317#562—794no—
1318#562—794no—
1319#559—794no—
1320#559—794no—
1321#559—792no—
1322#559—794no—
1323Q82—791no—
1324Q82—791no—
1325Q82—792no—
1326#557—791no—
1327#557—792no—
1328#557—794no—
1329#557—792no—
1330#557—794no—
1331#557—794no—
1332#557—792no—
1333#557—792no—
1334#557C2×D7911yescharacteristic, complemented
1335#556—794no—
1336#556—794no—
1337#556—794no—
1338#556—792no—
1339#556—792no—
1340#556—794no—
1341#556—791no—
1342#556—792no—
1343#556—791no—
1344#556—792no—
1345#556—794no—
1346#556—794no—
1347#556—794no—
1348#556—792no—
1349#555—792no—
1350#555—792no—
1351#555—791no—
1352#555—791no—
1353#554—791no—
1354#554—791no—
1355#554—794no—
1356#554—794no—
1357#554—792no—
1358#554—794no—
1359#554—792no—
1360#554—792no—
1361#554—794no—
1362#554—794no—
1363#554—792no—
1364#554—792no—
1365#554—794no—
1366#554—794no—
1367#554C2×D7911yescharacteristic, complemented
1368#554C2×D7911yescharacteristic, complemented
1369#553—792no—
1370#553—792no—
1371#553—792no—
1372#553—792no—
1373#553—792no—
1374#553C2×D7912yes—
1375#552—794no—
1376#552—794no—
1377#552—794no—
1378#552—794no—
1379#552—794no—
1380#552—794no—
1381#552—792no—
1382#552—792no—
1383#552—792no—
1384#552—792no—
1385#552—792no—
1386#552—792no—
1387#552—794no—
1388#552—794no—
1389#552—794no—
1390#552—794no—
1391#552—792no—
1392#552—794no—
1393#552—792no—
1394#552C2×D7912yescomplemented
1395#552C2×D7914yescomplemented
1396#552C2×D7912yescomplemented
1397#551—794no—
1398#551—794no—
1399#551—794no—
1400#551—794no—
1401#551—794no—
1402#551—794no—
1403#551—794no—
1404#551—794no—
1405#550—792no—
1406D4×Q8—792no—
1407D4×Q8—792no—
1408D4×Q8—792no—
1409D4×Q8—791no—
1410D4×Q8—791no—
1411#548—792no—
1412#548—792no—
1413#548—792no—
1414#548—792no—
1415#547—791no—
1416#547—792no—
1417#547—792no—
1418#547—794no—
1419#547—792no—
1420#547—792no—
1421#547—794no—
1422#547—792no—
1423#547C2×D7911yescharacteristic, complemented
1424#547C2×D7912yescomplemented
1425#546—794no—
1426#546—794no—
1427#544—792no—
1428#544—792no—
1429#544—794no—
1430#544—792no—
1431#544—792no—
1432#544—792no—
1433#544—792no—
1434#544—792no—
1435#544—792no—
1436#543—794no—
1437#542—794no—
1438#542—794no—
1439#542—794no—
1440#542—794no—
1441#542—792no—
1442#542—792no—
1443#542—792no—
1444#542—794no—
1445#542—792no—
1446#542—792no—
1447#542—792no—
1448#542—792no—
1449#542—794no—
1450#542—794no—
1451#542—792no—
1452#542—794no—
1453#541—794no—
1454#541—794no—
1455#541—794no—
1456#541—794no—
1457#541—792no—
1458#541—792no—
1459#541—792no—
1460#541—794no—
1461#541C2×D7912yescomplemented
1462#540—794no—
1463#539—794no—
1464#539—794no—
1465#539—794no—
1466#539—794no—
1467#539—794no—
1468#539—794no—
1469#539—794no—
1470#539—794no—
1471#539—794no—
1472#539—794no—
1473#539C2×D7914yescomplemented
1474#538—794no—
1475#536—792no—
1476#536—792no—
1477#536—792no—
1478#536—794no—
1479#536—794no—
1480#535—792no—
1481#533—791no—
1482#533—791no—
1483#533—792no—
1484#533—792no—
1485#533—794no—
1486#533—792no—
1487#533—792no—
1488#533—792no—
1489#533—792no—
1490#533—792no—
1491#533—791no—
1492#533—791no—
1493#533—792no—
1494#533—792no—
1495#533—791no—
1496#533—791no—
1497#533—792no—
1498#533C2×D7911yescharacteristic, complemented
1499#532—791no—
1500#532—791no—
1501#532—791no—
1502#532—794no—
1503C2×C4⋊Q8—791no—
1504C2×C4⋊Q8—791no—
1505#529—792no—
1506#529—794no—
1507#529—791no—
1508#529—792no—
1509#529—792no—
1510#529—791no—
1511#529—792no—
1512#529—792no—
1513#529—791no—
1514#529—791no—
1515#529—791no—
1516#529—791no—
1517#529—791no—
1518#529—792no—
1519#529—791no—
1520#529—791no—
1521#529—792no—
1522#529—792no—
1523#529—791no—
1524#529—792no—
1525#529—792no—
1526#529—792no—
1527#529—792no—
1528#529—794no—
1529#529—791no—
1530#529—792no—
1531#529C2×D7911yescharacteristic
1532#529C2×D7912yescomplemented
1533C2×#126—792no—
1534C2×#125—791no—
1535C2×#125—792no—
1536C2×#125—792no—
1537C2×#125C2×D7912yescomplemented
1538C2×#124—791no—
1539#525—791no—
1540#525—792no—
1541#525—792no—
1542#525—792no—
1543#525—792no—
1544#525—791no—
1545C2×#123—792no—
1546C2×C22⋊Q8—791no—
1547C2×C22⋊Q8—792no—
1548C2×C22⋊Q8—792no—
1549C2×C22⋊Q8—792no—
1550C2×C22⋊Q8—792no—
1551C2×#121—791no—
1552#520—792no—
1553#520—794no—
1554#520—792no—
1555#520—792no—
1556#520—794no—
1557#520C2×D7912yescomplemented
1558#519—792no—
1559#519—792no—
1560#519—792no—
1561#518—792no—
1562C4×#41—792no—
1563C4×#41—792no—
1564C4×#41—791no—
1565C4×#41C2×D7911yescharacteristic, complemented
1566C2×C4×Q8—791no—
1567C2×C4×Q8—792no—
1568C2×C4×Q8—792no—
1569C2×C4×D4—791no—
1570C2×C4×D4—792no—
1571C2×#117—792no—
1572C2×#117—792no—
1573C22×C42—791no—
1574C2×#41—792no—
1575C2×#41—792no—
1576C2×#41—791no—
1577C2×#41—794no—
1578C2×#41—794no—
1579C2×#41—792no—
1580C2×#41C22×D7911yescharacteristic
1581C2×#41C22×D7912yes—
1582C22×Q8—792no—
1583C22×Q8—792no—
1584C22×Q8—792no—
1585C22×Q8—791no—
1586C22×Q8—792no—
1587C22×D4—792no—
1588C22×D4—791no—
1589C23×C4—792no—
1590C23×C4—791no—
1591C23×C4—791no—
1592C23×C4—791no—
1593C4⋊Q8—792no—
1594C4⋊Q8—792no—
1595C4⋊Q8—791no—
1596C4⋊Q8—792no—
1597C4⋊Q8—792no—
1598C4⋊Q8—792no—
1599C4⋊Q8—792no—
1600C4⋊Q8—792no—
1601C4⋊Q8—791no—
1602C4⋊Q8—791no—
1603C4⋊Q8—794no—
1604C4⋊Q8—794no—
1605C4⋊Q8—792no—
1606C4⋊Q8—794no—
1607C4⋊Q8—792no—
1608C4⋊Q8—792no—
1609C4⋊Q8—794no—
1610C4⋊Q8—794no—
1611C4⋊Q8—794no—
1612C4⋊Q8—794no—
1613C4⋊Q8—794no—
1614C4⋊Q8—794no—
1615C4⋊Q8—794no—
1616C4⋊Q8—791no—
1617C4⋊Q8—791no—
1618C4⋊Q8—792no—
1619C4⋊Q8—792no—
1620C4⋊Q8—792no—
1621C4⋊Q8—794no—
1622C4⋊Q8C22×D7911yescharacteristic
1623C4⋊Q8C22×D7911yescharacteristic
1624C4⋊Q8C22×D7912yes—
1625#127—791no—
1626#127—794no—
1627#126—792no—
1628#126—792no—
1629#126—792no—
1630#126—792no—
1631#126—792no—
1632#126—794no—
1633#126—794no—
1634#126—794no—
1635#126—794no—
1636#126—794no—
1637#126—794no—
1638#126—794no—
1639#126—794no—
1640#126—792no—
1641#126—792no—
1642#126—792no—
1643#126—792no—
1644#126—792no—
1645#126—794no—
1646#126—794no—
1647#126—794no—
1648#126—794no—
1649#126—794no—
1650#126—794no—
1651#126—794no—
1652#126—794no—
1653#126—794no—
1654#126—794no—
1655#126—794no—
1656#126—794no—
1657#126—792no—
1658#126—794no—
1659#126—794no—
1660#126—794no—
1661#126C22×D7912yes—
1662#126C22×D7914yes—
1663#126C22×D7914yes—
1664#126C22×D7914yes—
1665#125—791no—
1666#125—791no—
1667#125—792no—
1668#125—792no—
1669#125—794no—
1670#125—794no—
1671#125—792no—
1672#125—792no—
1673#125—794no—
1674#125—794no—
1675#125—792no—
1676#125—792no—
1677#125—792no—
1678#125—791no—
1679#125—791no—
1680#125—792no—
1681#125—794no—
1682#125—792no—
1683#125—794no—
1684#125—794no—
1685#125—794no—
1686#125—794no—
1687#125—794no—
1688#125—794no—
1689#125—794no—
1690#125—794no—
1691#125—794no—
1692#125—794no—
1693#125—794no—
1694#125—794no—
1695#125—794no—
1696#125—794no—
1697#125—794no—
1698#125—791no—
1699#125—792no—
1700#125—794no—
1701#125—794no—
1702#125C22×D7912yes—
1703#125C22×D7911yescharacteristic
1704#125C22×D7914yes—
1705#125C22×D7914yes—
1706#125C22×D7912yes—
1707#125C22×D7912yes—
1708#125C22×D7912yes—
1709#125C22×D7914yes—
1710#125C22×D7914yes—
1711#124—791no—
1712#124—791no—
1713#124—791no—
1714#124—791no—
1715#124—792no—
1716#124—794no—
1717#124—794no—
1718#124—794no—
1719#124—792no—
1720#124—792no—
1721#124—792no—
1722#124—792no—
1723#124—794no—
1724#124—794no—
1725#124—794no—
1726#124—794no—
1727#124—794no—
1728#124—794no—
1729#124—794no—
1730#124—794no—
1731#124—794no—
1732#124—794no—
1733#124—791no—
1734#124—792no—
1735#124—794no—
1736#124C22×D7911yescharacteristic
1737#123—792no—
1738#123—792no—
1739#123—794no—
1740#123—794no—
1741#123—794no—
1742#123—792no—
1743#123—794no—
1744#123—794no—
1745#123—794no—
1746#123—794no—
1747#123—792no—
1748#123—792no—
1749#123—792no—
1750#123—792no—
1751#123—794no—
1752#123—794no—
1753#123—794no—
1754#123—794no—
1755#123—794no—
1756#123—794no—
1757#123—794no—
1758#123—794no—
1759#123—792no—
1760#123—792no—
1761#123—792no—
1762#123—792no—
1763#123—792no—
1764#123—792no—
1765#123—794no—
1766#123—794no—
1767#123—794no—
1768#123—794no—
1769#123—794no—
1770#123—794no—
1771#123—794no—
1772#123—794no—
1773#123—794no—
1774#123C22×D7912yes—
1775#123C22×D7914yes—
1776#123C22×D7914yes—
1777#123C22×D7914yes—
1778#123C22×D7914yes—
1779C22⋊Q8—791no—
1780C22⋊Q8—792no—
1781C22⋊Q8—791no—
1782C22⋊Q8—792no—
1783C22⋊Q8—791no—
1784C22⋊Q8—792no—
1785C22⋊Q8—792no—
1786C22⋊Q8—794no—
1787C22⋊Q8—794no—
1788C22⋊Q8—791no—
1789C22⋊Q8—792no—
1790C22⋊Q8—792no—
1791C22⋊Q8—792no—
1792C22⋊Q8—792no—
1793C22⋊Q8—794no—
1794C22⋊Q8—794no—
1795C22⋊Q8—794no—
1796C22⋊Q8—794no—
1797C22⋊Q8—794no—
1798C22⋊Q8—794no—
1799C22⋊Q8—794no—
1800C22⋊Q8—794no—
1801C22⋊Q8—794no—
1802C22⋊Q8—794no—
1803C22⋊Q8—792no—
1804C22⋊Q8—791no—
1805C22⋊Q8—792no—
1806C22⋊Q8—791no—
1807C22⋊Q8—792no—
1808C22⋊Q8—794no—
1809C22⋊Q8—794no—
1810C22⋊Q8—794no—
1811C22⋊Q8—792no—
1812C22⋊Q8—792no—
1813C22⋊Q8—794no—
1814C22⋊Q8—794no—
1815C22⋊Q8—792no—
1816C22⋊Q8—792no—
1817C22⋊Q8—791no—
1818C22⋊Q8—792no—
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—794no—
1835C22⋊Q8—794no—
1836C22⋊Q8—792no—
1837C22⋊Q8—794no—
1838C22⋊Q8—794no—
1839C22⋊Q8—794no—
1840C22⋊Q8—792no—
1841C22⋊Q8—792no—
1842C22⋊Q8—794no—
1843C22⋊Q8—794no—
1844C22⋊Q8—794no—
1845C22⋊Q8C22×D7911yescharacteristic
1846C22⋊Q8C22×D7912yes—
1847C22⋊Q8C22×D7912yes—
1848C22⋊Q8C22×D7912yes—
1849C22⋊Q8C22×D7912yes—
1850C22⋊Q8C22×D7912yes—
1851C22⋊Q8C22×D7914yes—
1852C22⋊Q8C22×D7914yes—
1853#121—792no—
1854#121—791no—
1855#121—791no—
1856#121—792no—
1857#121—791no—
1858#121—792no—
1859#121—792no—
1860#121—792no—
1861#121—794no—
1862#121—794no—
1863#121—794no—
1864#121—794no—
1865#121—791no—
1866#121—792no—
1867#121—792no—
1868#121—794no—
1869#121—791no—
1870#121—791no—
1871#121—791no—
1872#121—792no—
1873#121—794no—
1874#121—792no—
1875#121—792no—
1876#121—792no—
1877#121—794no—
1878#121C22×D7911yescharacteristic
1879#121C22×D7912yes—
1880#121C22×D7914yes—
1881#120—792no—
1882#120—794no—
1883#120—792no—
1884#120—794no—
1885C4×Q8—791no—
1886C4×Q8—792no—
1887C4×Q8—792no—
1888C4×Q8—792no—
1889C4×Q8—792no—
1890C4×Q8—792no—
1891C4×Q8—791no—
1892C4×Q8—792no—
1893C4×Q8—792no—
1894C4×Q8—794no—
1895C4×Q8—794no—
1896C4×Q8—792no—
1897C4×Q8—792no—
1898C4×Q8—792no—
1899C4×Q8—794no—
1900C4×Q8—794no—
1901C4×Q8—794no—
1902C4×Q8—794no—
1903C4×Q8—794no—
1904C4×Q8—794no—
1905C4×Q8—794no—
1906C4×Q8—794no—
1907C4×Q8—792no—
1908C4×Q8—791no—
1909C4×Q8—792no—
1910C4×Q8—794no—
1911C4×Q8—794no—
1912C4×Q8—792no—
1913C4×Q8—791no—
1914C4×Q8—792no—
1915C4×Q8—791no—
1916C4×Q8—792no—
1917C4×Q8—792no—
1918C4×Q8—792no—
1919C4×Q8—792no—
1920C4×Q8—794no—
1921C4×Q8—792no—
1922C4×Q8—792no—
1923C4×Q8—794no—
1924C4×Q8—794no—
1925C4×Q8—794no—
1926C4×Q8C22×D7912yes—
1927C4×Q8C22×D7911yescharacteristic
1928C4×Q8C22×D7912yes—
1929C4×Q8C22×D7911yescharacteristic
1930C4×Q8C22×D7911yescharacteristic
1931C4×Q8C22×D7912yes—
1932C4×Q8C22×D7912yes—
1933C4×D4—792no—
1934C4×D4—791no—
1935C4×D4—792no—
1936C4×D4—792no—
1937C4×D4—792no—
1938C4×D4—792no—
1939C4×D4—792no—
1940C4×D4—792no—
1941C4×D4—792no—
1942C4×D4—792no—
1943C4×D4—792no—
1944C4×D4—792no—
1945C4×D4—792no—
1946C4×D4—792no—
1947C4×D4—792no—
1948C4×D4—792no—
1949C4×D4—794no—
1950C4×D4—794no—
1951C4×D4—794no—
1952C4×D4—794no—
1953C4×D4—794no—
1954C4×D4—794no—
1955C4×D4—794no—
1956C4×D4—794no—
1957C4×D4—792no—
1958C4×D4—791no—
1959C4×D4—792no—
1960C4×D4—794no—
1961C4×D4—794no—
1962C4×D4—794no—
1963C4×D4—794no—
1964C4×D4—792no—
1965C4×D4—792no—
1966C4×D4—792no—
1967C4×D4—792no—
1968C4×D4—794no—
1969C4×D4—794no—
1970C4×D4—794no—
1971C4×D4—794no—
1972C4×D4—792no—
1973C4×D4—791no—
1974C4×D4—792no—
1975C4×D4—791no—
1976C4×D4—792no—
1977C4×D4—792no—
1978C4×D4—792no—
1979C4×D4—791no—
1980C4×D4—792no—
1981C4×D4—794no—
1982C4×D4—794no—
1983C4×D4C22×D7912yes—
1984C4×D4C22×D7911yescharacteristic
1985C4×D4C22×D7911yescharacteristic
1986C4×D4C22×D7912yes—
1987C4×D4C22×D7912yes—
1988C4×D4C22×D7911yescharacteristic
1989C4×D4C22×D7912yes—
1990C4×D4C22×D7912yes—
1991C4×D4C22×D7914yes—
1992C4×D4C22×D7914yes—
1993#117—792no—
1994#117—792no—
1995#117—791no—
1996#117—792no—
1997#117—792no—
1998#117—792no—
1999#117—794no—
2000#117—792no—
2001#117—792no—
2002#117—792no—
2003#117—792no—
2004#117—792no—
2005#117—792no—
2006#117—792no—
2007#117—794no—
2008#117—794no—
2009#117—794no—
2010#117—794no—
2011#117—794no—
2012#117—794no—
2013#117—792no—
2014#117—792no—
2015#117—792no—
2016#117—792no—
2017#117—794no—
2018#117—794no—
2019#117—794no—
2020#117—792no—
2021#117—792no—
2022#117—794no—
2023#117—792no—
2024#117—792no—
2025#117—792no—
2026#117—792no—
2027#117—792no—
2028#117—794no—
2029#117—794no—
2030#117—794no—
2031#117C22×D7912yes—
2032#117C22×D7912yes—
2033#117C22×D7911yescharacteristic
2034#117C22×D7912yes—
2035#117C22×D7914yes—
2036#117C22×D7914yes—
2037C2×C4⋊C4—794no—
2038C2×C4⋊C4—792no—
2039C2×C4⋊C4—792no—
2040C2×C4⋊C4—792no—
2041C2×C4⋊C4—792no—
2042C2×C4⋊C4—791no—
2043C2×C4⋊C4—792no—
2044C2×C4⋊C4—791no—
2045C2×C4⋊C4—794no—
2046C2×C4⋊C4—794no—
2047C2×C4⋊C4—792no—
2048C2×C4⋊C4—792no—
2049C2×C4⋊C4—792no—
2050C2×C4⋊C4—794no—
2051C2×C4⋊C4—792no—
2052C2×C4⋊C4—794no—
2053C2×C4⋊C4—794no—
2054C2×C4⋊C4—792no—
2055C2×C4⋊C4—792no—
2056C2×C4⋊C4C22×D7914yes—
2057C2×C4⋊C4C22×D7912yes—
2058C2×C4⋊C4C22×D7912yes—
2059C2×C4⋊C4C22×D7912yes—
2060C2×C4⋊C4C22×D7914yes—
2061C2×C22⋊C4—794no—
2062C2×C22⋊C4—792no—
2063C2×C22⋊C4—794no—
2064C2×C22⋊C4—792no—
2065C2×C22⋊C4—792no—
2066C2×C22⋊C4—792no—
2067C2×C22⋊C4—792no—
2068C2×C22⋊C4—794no—
2069C2×C42—791no—
2070C2×C42—791no—
2071C2×C42—791no—
2072C2×C42—791no—
2073C2×C42—792no—
2074C2×C42—794no—
2075C2×C42—791no—
2076C2×C42—791no—
2077C2×C42—791no—
2078C2×C42—792no—
2079C2×C42—791no—
2080C2×C42—791no—
2081C2×C42—791no—
2082C2×C42—791no—
2083C2×C42C22×D7912yes—
2084C2×C42C22×D7911yescharacteristic
2085C24—792no—
2086C24—791no—
2087#41—44no—
2088#41—42no—
2089#41—3162no—
2090#41—3164no—
2091#41—3168no—
2092#41—3168no—
2093#41—3164no—
2094#41—1588no—
2095C2×Q8—3164no—
2096C2×Q8—3164no—
2097C2×Q8—3164no—
2098C2×Q8—3164no—
2099C2×Q8—794no—
2100C2×Q8—794no—
2101C2×Q8—794no—
2102C2×Q8—794no—
2103C2×Q8—792no—
2104C2×Q8—794no—
2105C2×Q8—794no—
2106C2×Q8—792no—
2107C2×Q8—791no—
2108C2×Q8—792no—
2109C2×Q8—792no—
2110C2×Q8—792no—
2111C2×Q8—791no—
2112C2×Q8—1584no—
2113C2×Q8C23×D7911yescharacteristic
2114C2×Q8C23×D7911yescharacteristic
2115C2×Q8C23×D7912yes—
2116C2×Q8C23×D7912yes—
2117C2×D4—3164no—
2118C2×D4—792no—
2119C2×D4—794no—
2120C2×D4—794no—
2121C2×D4—792no—
2122C2×D4—792no—
2123C2×D4—792no—
2124C2×D4—792no—
2125C2×D4—792no—
2126C2×D4—792no—
2127C2×D4—792no—
2128C2×D4—794no—
2129C2×D4—792no—
2130C2×D4—791no—
2131C2×D4—792no—
2132C2×D4—792no—
2133C2×D4—791no—
2134C2×D4—1584no—
2135C2×D4C23×D7911yescharacteristic
2136C2×D4C23×D7911yescharacteristic
2137C2×D4C23×D7912yes—
2138C2×D4C23×D7912yes—
2139C2×D4C23×D7914yes—
2140C22×C4—3164no—
2141C22×C4—3162no—
2142C22×C4—3162no—
2143C22×C4—791no—
2144C22×C4—791no—
2145C22×C4—794no—
2146C22×C4—792no—
2147C22×C4—791no—
2148C22×C4—791no—
2149C22×C4—791no—
2150C22×C4—791no—
2151C22×C4—794no—
2152C22×C4—792no—
2153C22×C4—792no—
2154C22×C4—792no—
2155C22×C4—792no—
2156C22×C4—794no—
2157C22×C4—794no—
2158C22×C4—794no—
2159C22×C4—794no—
2160C22×C4—792no—
2161C22×C4—791no—
2162C22×C4—791no—
2163C22×C4—791no—
2164C22×C4—791no—
2165C22×C4—791no—
2166C22×C4—791no—
2167C22×C4—791no—
2168C22×C4—791no—
2169C22×C4—791no—
2170C22×C4—792no—
2171C22×C4—794no—
2172C22×C4—792no—
2173C22×C4—792no—
2174C22×C4—1584no—
2175C22×C4C23×D7911yescharacteristic
2176C22×C4C23×D7911yescharacteristic
2177C22×C4C23×D7912yes—
2178C22×C4C23×D7912yes—
2179C22×C4C23×D7911yescharacteristic
2180C22×C4C23×D7912yes—
2181C22×C4C23×D7912yes—
2182C22×C4C23×D7914yes—
2183C22×C4C23×D7914yes—
2184C22×C4C23×D7914yes—
2185C4⋊C4—792no—
2186C4⋊C4—792no—
2187C4⋊C4—792no—
2188C4⋊C4—794no—
2189C4⋊C4—792no—
2190C4⋊C4—794no—
2191C4⋊C4—792no—
2192C4⋊C4—792no—
2193C4⋊C4—794no—
2194C4⋊C4—794no—
2195C4⋊C4—792no—
2196C4⋊C4—792no—
2197C4⋊C4—794no—
2198C4⋊C4—794no—
2199C4⋊C4—792no—
2200C4⋊C4—794no—
2201C4⋊C4—794no—
2202C4⋊C4—794no—
2203C4⋊C4—794no—
2204C4⋊C4—794no—
2205C4⋊C4—794no—
2206C4⋊C4—794no—
2207C4⋊C4—792no—
2208C4⋊C4—792no—
2209C4⋊C4—792no—
2210C4⋊C4—792no—
2211C4⋊C4—792no—
2212C4⋊C4—792no—
2213C4⋊C4—792no—
2214C4⋊C4—792no—
2215C4⋊C4—792no—
2216C4⋊C4—792no—
2217C4⋊C4—792no—
2218C4⋊C4—794no—
2219C4⋊C4—794no—
2220C4⋊C4—794no—
2221C4⋊C4—794no—
2222C4⋊C4—794no—
2223C4⋊C4—791no—
2224C4⋊C4—791no—
2225C4⋊C4—794no—
2226C4⋊C4—791no—
2227C4⋊C4—792no—
2228C4⋊C4—794no—
2229C4⋊C4—792no—
2230C4⋊C4—792no—
2231C4⋊C4—792no—
2232C4⋊C4—792no—
2233C4⋊C4—792no—
2234C4⋊C4—792no—
2235C4⋊C4—794no—
2236C4⋊C4—794no—
2237C4⋊C4—794no—
2238C4⋊C4—792no—
2239C4⋊C4—792no—
2240C4⋊C4—791no—
2241C4⋊C4—794no—
2242C4⋊C4—792no—
2243C4⋊C4—792no—
2244C4⋊C4—792no—
2245C4⋊C4—794no—
2246C4⋊C4—794no—
2247C4⋊C4C23×D7912yes—
2248C4⋊C4C23×D7912yes—
2249C4⋊C4C23×D7914yes—
2250C4⋊C4C23×D7912yes—
2251C4⋊C4C23×D7914yes—
2252C4⋊C4C23×D7911yescharacteristic
2253C4⋊C4C23×D7911yescharacteristic
2254C4⋊C4C23×D7912yes—
2255C4⋊C4C23×D7912yes—
2256C4⋊C4C23×D7914yes—
2257C4⋊C4C23×D7912yes—
2258C4⋊C4C23×D7912yes—
2259C4⋊C4C23×D7912yes—
2260C4⋊C4C23×D7911yescharacteristic
2261C4⋊C4C23×D7914yes—
2262C4⋊C4C23×D7914yes—
2263C4⋊C4C23×D7914yes—
2264C4⋊C4C23×D7914yes—
2265C4⋊C4C23×D7914yes—
2266C4⋊C4C23×D7911yescharacteristic
2267C4⋊C4C23×D7912yes—
2268C4⋊C4C23×D7914yes—
2269C4⋊C4C23×D7914yes—
2270C4⋊C4C23×D7912yes—
2271C22⋊C4—794no—
2272C22⋊C4—792no—
2273C22⋊C4—792no—
2274C22⋊C4—792no—
2275C22⋊C4—794no—
2276C22⋊C4—792no—
2277C22⋊C4—792no—
2278C22⋊C4—792no—
2279C22⋊C4—794no—
2280C22⋊C4—792no—
2281C22⋊C4—794no—
2282C22⋊C4—794no—
2283C22⋊C4—792no—
2284C22⋊C4—792no—
2285C22⋊C4—792no—
2286C22⋊C4—794no—
2287C22⋊C4—794no—
2288C22⋊C4—792no—
2289C22⋊C4—792no—
2290C22⋊C4—794no—
2291C22⋊C4—792no—
2292C22⋊C4—792no—
2293C22⋊C4—792no—
2294C22⋊C4—792no—
2295C22⋊C4—792no—
2296C22⋊C4—792no—
2297C22⋊C4—792no—
2298C22⋊C4—792no—
2299C22⋊C4—794no—
2300C22⋊C4—794no—
2301C22⋊C4—792no—
2302C22⋊C4—792no—
2303C22⋊C4—792no—
2304C22⋊C4—792no—
2305C22⋊C4—792no—
2306C22⋊C4—792no—
2307C22⋊C4—794no—
2308C22⋊C4—794no—
2309C22⋊C4—794no—
2310C22⋊C4—794no—
2311C22⋊C4—792no—
2312C22⋊C4—792no—
2313C22⋊C4—792no—
2314C22⋊C4—792no—
2315C22⋊C4—794no—
2316C22⋊C4—794no—
2317C22⋊C4C23×D7912yes—
2318C22⋊C4C23×D7912yes—
2319C22⋊C4C23×D7914yes—
2320C22⋊C4C23×D7912yes—
2321C22⋊C4C23×D7914yes—
2322C22⋊C4C23×D7912yes—
2323C22⋊C4C23×D7912yes—
2324C22⋊C4C23×D7912yes—
2325C22⋊C4C23×D7914yes—
2326C22⋊C4C23×D7912yes—
2327C22⋊C4C23×D7912yes—
2328C22⋊C4C23×D7914yes—
2329C42—791no—
2330C42—791no—
2331C42—791no—
2332C42—791no—
2333C42—791no—
2334C42—791no—
2335C42—791no—
2336C42—791no—
2337C42—791no—
2338C42—791no—
2339C42—791no—
2340C42—791no—
2341C42—792no—
2342C42—792no—
2343C42—792no—
2344C42—792no—
2345C42—794no—
2346C42—792no—
2347C42—794no—
2348C42—792no—
2349C42—794no—
2350C42—794no—
2351C42—794no—
2352C42—794no—
2353C42—794no—
2354C42—794no—
2355C42—794no—
2356C42—794no—
2357C42C23×D7911yescharacteristic
2358C42C23×D7911yescharacteristic
2359C42C23×D7911yescharacteristic
2360C42C23×D7911yescharacteristic
2361C42C23×D7914yes—
2362C42C23×D7912yes—
2363C42C23×D7912yes—
2364C42C23×D7912yes—
2365C42C23×D7912yes—
2366C42C23×D7914yes—
2367C23—3161no—
2368C23—3162no—
2369C23—3162no—
2370C23—791no—
2371C23—791no—
2372C23—792no—
2373C23—792no—
2374C23—1582no—
2375C23—1582no—
2376C23—1584no—
2377C23C24×D7912yes—
2378C23C24×D7911yescharacteristic
2379C23C24×D7912yes—
2380Q8—22no—
2381Q8—22no—
2382Q8—24no—
2383Q8—42no—
2384Q8—3164no—
2385Q8—3162no—
2386Q8—3164no—
2387Q8—3164no—
2388Q8—3164no—
2389Q8—3164no—
2390Q8—3162no—
2391Q8—3164no—
2392Q8—1584no—
2393Q8—1584no—
2394Q8—1582no—
2395Q8—1584no—
2396Q8—1582no—
2397D4—22no—
2398D4—22no—
2399D4—42no—
2400D4—44no—
2401D4—42no—
2402D4—3164no—
2403D4—3162no—
2404D4—3162no—
2405D4—3164no—
2406D4—3164no—
2407D4—3162no—
2408D4—1584no—
2409D4—1584no—
2410D4—1584no—
2411D4—1584no—
2412D4—1584no—
2413D4—1584no—
2414D4—1584no—
2415D4—1584no—
2416D4—1582no—
2417D4—1582no—
2418C2×C4—22no—
2419C2×C4—24no—
2420C2×C4—24no—
2421C2×C4—22no—
2422C2×C4—41no—
2423C2×C4—42no—
2424C2×C4—44no—
2425C2×C4—42no—
2426C2×C4—44no—
2427C2×C4—44no—
2428C2×C4—3161no—
2429C2×C4—3161no—
2430C2×C4—3161no—
2431C2×C4—3161no—
2432C2×C4—3162no—
2433C2×C4—3162no—
2434C2×C4—3162no—
2435C2×C4—3164no—
2436C2×C4—3164no—
2437C2×C4—3162no—
2438C2×C4—3164no—
2439C2×C4—3164no—
2440C2×C4—3162no—
2441C2×C4—3164no—
2442C2×C4—3161no—
2443C2×C4—3162no—
2444C2×C4—3161no—
2445C2×C4—3164no—
2446C2×C4—791no—
2447C2×C4—794no—
2448C2×C4—791no—
2449C2×C4—792no—
2450C2×C4—792no—
2451C2×C4—794no—
2452C2×C4—791no—
2453C2×C4—791no—
2454C2×C4—794no—
2455C2×C4—791no—
2456C2×C4—792no—
2457C2×C4—792no—
2458C2×C4—792no—
2459C2×C4—791no—
2460C2×C4—792no—
2461C2×C4—1582no—
2462C2×C4—1582no—
2463C2×C4—1582no—
2464C2×C4—1582no—
2465C2×C4—1588no—
2466C2×C4—1584no—
2467C2×C4—1582no—
2468C2×C4—1582no—
2469C2×C4—1584no—
2470C2×C4—1582no—
2471C2×C4—1582no—
2472C2×C4—1584no—
2473C2×C4C24×D7911yescharacteristic
2474C2×C4C24×D7911yescharacteristic
2475C2×C4C24×D7911yescharacteristic
2476C2×C4C24×D7912yes—
2477C2×C4C24×D7912yes—
2478C2×C4C24×D7912yes—
2479C2×C4C24×D7911yescharacteristic
2480C2×C4C24×D7912yes—
2481C2×C4C24×D7914yes—
2482C2×C4C24×D7912yes—
2483C2×C4C24×D7914yes—
2484C2×C4C24×D7912yes—
2485C2×C4C24×D7911yescharacteristic
2486C2×C4C24×D7911yescharacteristic
2487C22—21no—
2488C22—22no—
2489C22—22no—
2490C22—22no—
2491C22—22no—
2492C22—21no—
2493C22—22no—
2494C22—21no—
2495C22—22no—
2496C22—3164no—
2497C22—792no—
2498C22—792no—
2499C22—6324no—
2500C22—1582no—
2501C22—1582no—
2502C22—1582no—
2503C22—1582no—
2504C22—1582no—
2505C22—1582no—
2506C22—1581no—
2507C22—1581no—
2508C22—1581no—
2509C22—1581no—
2510C22C25×D7911yescharacteristic
2511C4—21no—
2512C4—22no—
2513C4—22no—
2514C4—21no—
2515C4—22no—
2516C4—24no—
2517C4—22no—
2518C4—21no—
2519C4—21no—
2520C4—22no—
2521C4—24no—
2522C4—22no—
2523C4—792no—
2524C4—1581no—
2525C4—1582no—
2526C4—1582no—
2527C4—1582no—
2528C4—1582no—
2529C4—1581no—
2530C4—1581no—
2531C4—1584no—
2532C4—1581no—
2533C4—1582no—
2534C4—1582no—
2535C4—1584no—
2536C4—1581no—
2537C42−1+4×D7912yes—
2538C4#1909939912yes—
2539C2—41no—
2540C2—42no—
2541C2—42no—
2542C2—3162no—
2543C2—3162no—
2544C2—1582no—
2545C2—1582no—
2546C2C2×2−1+4×D7911yescharacteristic
2547C2#585×D7911yescharacteristic
2548C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3515C2
hypercenter#3515D79
hypocenterC79#62831
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3515

Complements

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

NH ≅ G/Ntype
1. #23778046C2semidirect
2. #23778039C2semidirect
3. #23778011C2semidirect
4. #23777904C2semidirect
5. #23777875C2semidirect
6. #23777866C2semidirect
7. #23777846C2semidirect
8. #23777838C2semidirect
9. #23777741C2semidirect
10. #23777741C2semidirect
11. #23777608C2semidirect
12. #23777492C2semidirect
13. #23777479C2semidirect
14. #23777452C2semidirect
15. #23777446C2semidirect
16. #23777417C2semidirect
17. #23777415C2semidirect
18. #23777380C2semidirect
19. #23777373C2semidirect
20. #23777372C2semidirect
21. #23777289C2semidirect
22. #23777263C2semidirect
23. #23777259C2semidirect
24. #23777250C2semidirect
25. #23777224C2semidirect
26. #23777204C2semidirect
27. #23777197C2semidirect
28. #23777153C2semidirect
29. #23777151C2semidirect
30. #23777144C2semidirect
31. #23777128C2semidirect
32. #23776693C2semidirect
33. #533×D79C2semidirect
34. #529×D79C2semidirect
35. C79×#3515C2semidirect
36. #19099317C22semidirect
37. #19099316C22semidirect
38. #19099316C22semidirect
39. #19099315C22semidirect
40. #19099314C22semidirect
41. #19099314C22semidirect
42. #19099310C22semidirect
43. #19099308C22semidirect
44. #19099297C22semidirect
45. #19099297C22semidirect
46. #19099296C22semidirect
47. #19099296C22semidirect
48. Q8×Dic158C22semidirect
49. Q8×Dic158C22semidirect
50. Q8×Dic158C22semidirect
51. #19099292C22semidirect
52. #19099290C22semidirect
53. #19099290C22semidirect
54. #19099290C22semidirect
55. #19099290C22semidirect
56. #19099290C22semidirect
57. #19099288C22semidirect
58. #19099288C22semidirect
59. #19099286C22semidirect
60. #19099284C22semidirect
61. #19099284C22semidirect
62. #19099284C22semidirect
63. #19099283C22semidirect
64. #19099283C22semidirect
65. #19099283C22semidirect
66. #19099281C22semidirect
67. #19099281C22semidirect
68. #19099281C22semidirect
69. #19099281C22semidirect
70. #19099280C22semidirect
71. #19099280C22semidirect
72. #19099280C22semidirect
74. #19099278C22semidirect
75. #19099278C22semidirect
77. #19099274C22semidirect
78. #19099274C22semidirect
79. #19099273C22semidirect
80. #19099271C22semidirect
81. #19099270C22semidirect
84. #19099269C22semidirect
87. #19099268C22semidirect
88. #19099268C22semidirect
89. #19099268C22semidirect
90. #19099268C22semidirect
92. #19099261C22semidirect
94. #19099260C22semidirect
96. #19099254C22semidirect
97. #19099253C22semidirect
98. #19099253C22semidirect
100. #19099252C22semidirect
101. #19099251C22semidirect
102. #19099251C22semidirect
103. #19099251C22semidirect
104. #19099249C22semidirect
105. #19099249C22semidirect
106. #19099248C22semidirect
107. #19099248C22semidirect
108. #19099247C22semidirect
109. #19099247C22semidirect
110. #19099247C22semidirect
111. #19099247C22semidirect
113. #19099245C22semidirect
114. #19099245C22semidirect
123. #19099232C22semidirect
124. Q8×D316C22semidirect
125. D4×Dic158C22semidirect
126. #19099228C22semidirect
127. #19099226C22semidirect
128. #19099226C22semidirect
129. #19099225C22semidirect
130. #19099222C22semidirect
131. #19099220C22semidirect
132. #19099220C22semidirect
134. #19099218C22semidirect
135. #19099218C22semidirect
136. #19099216C22semidirect
137. #19099215C22semidirect
139. #19099214C22semidirect
140. #19099214C22semidirect
143. #19099194C22semidirect
144. #19099194C22semidirect
145. #19099194C22semidirect
149. #19099193C22semidirect
150. #19099193C22semidirect
151. #19099193C22semidirect
153. #19099186C22semidirect
154. #19099186C22semidirect
155. #19099185C22semidirect
156. #19099184C22semidirect
157. #19099184C22semidirect
159. #19099181C22semidirect
160. #19099181C22semidirect
161. #19099180C22semidirect
162. #19099180C22semidirect
163. #19099179C22semidirect
164. #19099178C22semidirect
165. #19099178C22semidirect
166. #19099178C22semidirect
167. #19099178C22semidirect
168. #19099178C22semidirect
169. #19099175C22semidirect
170. #19099173C22semidirect
171. #19099172C22semidirect
172. #19099172C22semidirect
173. #19099171C22semidirect
174. #19099171C22semidirect
175. #19099170C22semidirect
176. #19099170C22semidirect
178. #19099161C22semidirect
179. #19099161C22semidirect
180. #19099160C22semidirect
182. #19099159C22semidirect
183. #19099157C22semidirect
184. #19099156C22semidirect
185. #19099156C22semidirect
186. #19099156C22semidirect
187. #19099156C22semidirect
189. #19099138C22semidirect
191. #19099136C22semidirect
192. #19099136C22semidirect
193. #19099134C22semidirect
195. #19099120C22semidirect
196. #19099120C22semidirect
198. #19099119C22semidirect
199. #19099119C22semidirect
207. #19099117C22semidirect
208. #19099116C22semidirect
209. #19099116C22semidirect
210. #19099115C22semidirect
211. #19099115C22semidirect
214. #19099110C22semidirect
215. #19099109C22semidirect
216. C4⋊Q8×D79C22semidirect
217. C4⋊Q8×D79C22semidirect
220. #19099100C22semidirect
224. #19099098C22semidirect
226. #19099097C22semidirect
232. #19099095C22semidirect
235. #19099093C22semidirect
236. #19099093C22semidirect
238. #19099092C22semidirect
241. #19099091C22semidirect
242. #19099091C22semidirect
246. #125×D79C22semidirect
247. #125×D79C22semidirect
262. #19099045C22semidirect
265. #19099044C22semidirect
266. #19099043C22semidirect
267. #19099040C22semidirect
269. #19099039C22semidirect
272. C4×#11929624C22semidirect
273. C4×#11929624C22semidirect
275. C4×Q8×D79C22semidirect
276. C4×Q8×D79C22semidirect
282. #557×C79C22semidirect
283. #554×C79C22semidirect
284. #554×C79C22semidirect
286. #552×C79C22semidirect
287. #552×C79C22semidirect
288. #552×C79C22semidirect
289. #547×C79C22semidirect
290. #547×C79C22semidirect
291. #541×C79C22semidirect
292. #539×C79C22semidirect
293. #533×C79C22semidirect
295. #529×C79C22semidirect
296. C2×#125×C79C22semidirect
297. #520×C79C22semidirect
298. C4×#41×C79C22semidirect
1295. #3515D79semidirect
1310. C79#62831semidirect
1334. #557C2×D79semidirect
1367. #554C2×D79semidirect
1368. #554C2×D79semidirect
1394. #552C2×D79semidirect
1395. #552C2×D79semidirect
1396. #552C2×D79semidirect
1423. #547C2×D79semidirect
1424. #547C2×D79semidirect
1461. #541C2×D79semidirect
1473. #539C2×D79semidirect
1498. #533C2×D79semidirect
1532. #529C2×D79semidirect
1537. C2×#125C2×D79semidirect
1557. #520C2×D79semidirect
1565. C4×#41C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780462
#237780392
#237780112
#237779042
#237778752
#237778662
#237778462
#237778382
#237777412
#237776082
#237774922
#237774792
#237774522
#237774462
#237774172
#237774152
#237773802
#237773732
#237773722
#237772892
#237772632
#237772592
#237772502
#237772242
#237772042
#237771972
#237771532
#237771512
#237771442
#237771282
#237766932
#533×D792
#529×D792
C79×#35152
#6283179