Finite Group Databasebeta

← #35197226

Subgroups — #35197226

Order 20224.

6428 conjugacy classes of subgroups.

The subgroup lattice has 2502 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777998C214yesmaximal, complemented
2#23777997C214yesmaximal, complemented
3#23777892C211yesmaximal, characteristic, complemented
4#23777892C211yesmaximal, characteristic, complemented
5#23777887C212yesmaximal, complemented
6#23777881C214yesmaximal, complemented
7#23777880C212yesmaximal, complemented
8#23777813C211yesmaximal, characteristic, complemented
9#23777807C211yesmaximal, characteristic, complemented
10#23777646C212yesmaximal, complemented
11#23777641C212yesmaximal, complemented
12#23777496C211yesmaximal, characteristic, complemented
13#23777494C211yesmaximal, characteristic, complemented
14#23777492C212yesmaximal, complemented
15#23777490C212yesmaximal, complemented
16#23777488C211yesmaximal, characteristic, complemented
17#23777283C211yesmaximal, characteristic, complemented
18#23777282C212yesmaximal, complemented
19#23777281C212yesmaximal, complemented
20#23777280C211yesmaximal, characteristic, complemented
21#23777278C212yesmaximal, complemented
22#23777261C212yesmaximal, complemented
23#23777256C212yesmaximal, complemented
24#23777217C211yesmaximal, characteristic, complemented
25#23777211C211yesmaximal, characteristic, complemented
26#23777211C212yesmaximal, complemented
27#23777207C212yesmaximal, complemented
28#23777205C212yesmaximal, complemented
29#23777147C212yesmaximal, complemented
30#23777143C214yesmaximal, complemented
31#23777140C212yesmaximal, complemented
32#23776694C211yesmaximal, characteristic
33C2×#19099117C211yesmaximal, characteristic, complemented
34#533×D79C211yesmaximal, characteristic, complemented
35C79×#3523C211yesmaximal, characteristic, complemented
36C79⋊#564C2214yescomplemented
37C79⋊#564C2214yescomplemented
38#19099317C2214yes—
39#19099315C2214yes—
40#19099315C2214yescomplemented
41#19099314C2214yes—
42#19099314C2214yescomplemented
43#19099312C2214yes—
44#19099296C2212yescomplemented
45#19099295C2212yescomplemented
46Q8×Dic158C2212yescomplemented
47Q8×Dic158C2212yescomplemented
48#19099293C2212yescomplemented
49#19099293C2212yescomplemented
50#19099293C2214yescomplemented
51#19099292C2211yescharacteristic, complemented
52#19099292C2211yescharacteristic, complemented
53#19099291C2212yescomplemented
54#19099291C2214yescomplemented
55#19099291C2214yescomplemented
56#19099291C2211yescharacteristic, complemented
57#19099291C2214yescomplemented
58#19099291C2212yescomplemented
59#19099291C2212yescomplemented
60#19099291C2212yescomplemented
61#19099291C2211yescharacteristic, complemented
62#19099290C2214yescomplemented
63#19099290C2214yescomplemented
64#19099290C2212yescomplemented
65#19099290C2214yescomplemented
66#19099290C2214yescomplemented
67#19099290C2212yescomplemented
68#19099290C2212yescomplemented
69#19099289C2212yescomplemented
70#19099289C2212yescomplemented
71#19099289C2212yescomplemented
72#19099288C2211yescharacteristic, complemented
73#19099288C2212yescomplemented
74#19099288C2212yescomplemented
75#19099288C2211yescharacteristic, complemented
76#19099288C2212yescomplemented
77#19099287C2211yescharacteristic, complemented
78#19099286C2211yescharacteristic, complemented
79#19099286C2212yescomplemented
80#19099285C2214yes—
81#19099285C2214yes—
82#19099285C2212yescomplemented
83#19099285C2212yescomplemented
84#19099284C2212yescomplemented
85#19099283C2211yescharacteristic, complemented
86#19099282C2212yescomplemented
87#19099282C2212yescomplemented
88#19099281C2212yescomplemented
89#19099281C2214yescomplemented
90#19099280C2214yes—
91#19099280C2214yes—
92#19099280C2214yescomplemented
93#19099280C2214yescomplemented
94#19099272C2214yes—
95#19099272C2212yescomplemented
96#19099269C2214yes—
97#19099269C2212yescomplemented
98#19099267C2214yes—
99#19099267C2214yes—
100#19099267C2214yescomplemented
101#19099255C2212yes—
102#19099254C2212yes—
103#19099254C2214yes—
104#19099253C2212yes—
105#19099252C2212yes—
106#19099252C2214yes—
107#19099251C2212yes—
108#19099250C2214yes—
109#19099250C2214yes—
110#19099249C2214yes—
111#19099249C2214yes—
112#19099249C2214yescomplemented
113#19099249C2214yescomplemented
114#19099248C2212yes—
115#19099248C2214yes—
116#19099247C2212yes—
117#19099246C2214yes—
118#19099246C2214yes—
119#19099246C2214yes—
120#19099246C2214yes—
121#19099246C2214yescomplemented
122#19099246C2214yescomplemented
123#19099245C2214yes—
124#19099245C2214yes—
125#19099245C2214yes—
126#19099245C2214yes—
127#19099242C2214yes—
128#19099240C2214yes—
129#19099237C2214yes—
130#19099236C2214yes—
131Q8×D316C2212yes—
132Q8×D316C2211yescharacteristic, complemented
133D4×Dic158C2212yes—
134D4×Dic158C2211yescharacteristic, complemented
135#19099228C2212yes—
136#19099228C2211yescharacteristic, complemented
137Q8×C22⋊D79C2212yes—
138Q8×C22⋊D79C2212yes—
139Q8×C22⋊D79C2212yescomplemented
140#19099226C2212yes—
141#19099226C2212yes—
142#19099226C2212yescomplemented
143#19099193C2214yes—
144#19099193C2212yes—
145#19099193C2214yescomplemented
146#19099192C2214yes—
147#19099192C2214yes—
148#19099192C2214yescomplemented
149#19099192C2214yescomplemented
150#19099191C2214yes—
151#19099190C2214yes—
152#19099190C2212yes—
153#19099190C2214yescomplemented
154#19099187C2212yes—
155#19099185C2212yes—
156#19099183C2214yes—
157#19099182C2212yes—
158#19099179C2214yes—
159#19099178C2212yes—
160#19099176C2212yes—
161#19099176C2212yes—
162#19099175C2212yescomplemented
163#19099175C2214yescomplemented
164#19099174C2212yes—
165#19099174C2212yes—
166#19099172C2214yes—
167#19099172C2214yes—
168#19099172C2214yescomplemented
169#19099172C2214yescomplemented
170#19099172C2214yescomplemented
171#19099172C2214yescomplemented
172#19099171C2212yes—
173#19099171C2212yes—
174#19099171C2212yes—
175#19099171C2212yes—
176#19099171C2212yescomplemented
177#19099171C2212yescomplemented
178#19099171C2214yescomplemented
179#19099171C2214yescomplemented
180#19099170C2214yescomplemented
181#19099170C2214yescomplemented
182#19099170C2214yescomplemented
183#19099170C2214yescomplemented
184#19099159C2214yes—
185#19099157C2214yes—
186#19099155C2214yes—
187#19099154C2214yes—
188#19099139C2212yes—
189#19099138C2212yes—
190#19099137C2212yes—
191#19099136C2212yes—
192#19099136C2212yes—
193#19099135C2214yes—
194#19099133C2212yes—
195#19099120C2212yes—
196#19099120C2211yescharacteristic
197#19099119C2212yes—
198#19099119C2214yes—
199#19099119C2211yescharacteristic
200#19099119C2212yescomplemented
201#19099118C2211yescharacteristic
202#19099118C2211yescharacteristic
203#19099117C2211yescharacteristic
204#19099117C2211yescharacteristic
205#19099117C2212yes—
206#19099117C2211yescharacteristic
207#19099117C2211yescharacteristic
208#19099117C2211yescharacteristic
209#19099117C2211yescharacteristic
210#19099117C2212yes—
211#19099117C2212yes—
212#19099117C2212yes—
213#19099117C2211yescharacteristic
214#19099117C2214yes—
215#19099117C2212yes—
216#19099117C2212yes—
217#19099117C2211yescharacteristic
218#19099117C2211yescharacteristic
219#19099117C2212yescomplemented
220#19099117C2212yescomplemented
221#19099116C2212yes—
222#19099116C2212yescomplemented
223#19099115C2212yes—
224#19099115C2212yes—
225#19099115C2212yes—
226#19099115C2212yes—
227#19099115C2211yescharacteristic
228#19099115C2212yescomplemented
229#19099115C2212yescomplemented
230#19099112C2211yescharacteristic
231#19099110C2211yescharacteristic
232#19099108C2211yescharacteristic
233C2×#14579160C2211yescharacteristic
234C2×#14579159C2211yescharacteristic
235C2×#14579159C2212yescomplemented
236C4⋊Q8×D79C2211yescharacteristic
237C4⋊Q8×D79C2211yescharacteristic
238C4⋊Q8×D79C2212yescomplemented
239#19099099C2212yes—
240#19099098C2211yescharacteristic
241#19099097C2212yes—
242#19099097C2211yescharacteristic
243#19099096C2212yes—
244#19099096C2214yes—
245#19099096C2212yes—
246#19099094C2212yes—
247#19099092C2211yescharacteristic
248#19099091C2214yes—
249#19099091C2212yes—
250#19099090C2212yes—
251C2×#14579151C2212yes—
252#125×D79C2212yes—
253#19099076C2211yescharacteristic
254#19099073C2211yescharacteristic
255#19099072C2212yes—
256#19099071C2212yes—
257C2×#14579141C2211yescharacteristic
258C2×#14579139C2212yes—
259C2×#14579137C2211yescharacteristic
260C22⋊Q8×D79C2212yes—
261C22⋊Q8×D79C2212yes—
262#19099045C2212yes—
263#19099042C2212yes—
264#19099042C2214yes—
265#19099040C2214yes—
266#19099040C2212yescomplemented
267#19099039C2212yes—
268#19099039C2212yes—
269#19099039C2212yescomplemented
270#19099039C2212yescomplemented
271C4×#11929625C2211yescharacteristic
272#19099031C2212yes—
273C4×#11929623C2211yescharacteristic
274C4×#11929623C2212yes—
275C2×C4×Dic158C2212yes—
276C2×C4×Dic158C2211yescharacteristic
277C4×Q8×D79C2212yes—
278C4×Q8×D79C2212yes—
279C2×#14579118C2212yes—
280#117×D79C2212yes—
281C2×C42×D79C2211yescharacteristic
282#557×C79C2211yescharacteristic, complemented
283#557×C79C2212yescomplemented
284#557×C79C2211yescharacteristic, complemented
285#556×C79C2211yescharacteristic, complemented
286#556×C79C2212yescomplemented
287#552×C79C2212yes—
288#552×C79C2214yes—
289D4×Q8×C79C2212yes—
290D4×Q8×C79C2211yescharacteristic, complemented
291#541×C79C2212yescomplemented
292#541×C79C2214yescomplemented
293#533×C79C2212yes—
294#533×C79C2211yescharacteristic
295#529×C79C2212yes—
296#529×C79C2211yescharacteristic
297#519×C79C2212yescomplemented
298C2×C4×Q8×C79C2211yescharacteristic
299C2×#11929625C2311yescharacteristic
300C2×#11929624C2312yes—
301C2×#11929623C2312yes—
302C2×#11929623C2311yescharacteristic
303C22×Dic158C2312yes—
304C22×Dic158C2312yes—
305C22×Dic158C2311yescharacteristic
306C2×Q8×D79C2312yes—
307C2×Q8×D79C2312yes—
308C2×Q8×D79C2312yes—
309C2×Q8×D79C2312yes—
310C22×C4×D79C2311yescharacteristic
311C22×C4×D79C2311yescharacteristic
312C22×C4×D79C2311yescharacteristic
313#14579161C2314yes—
314#14579161C2312yes—
315#14579161C2314yes—
316#14579161C2312yes—
317#14579161C2312yes—
318#14579161C2311yescharacteristic
319#14579161C2311yescharacteristic
320#14579160C2314yes—
321#14579160C2314yes—
322#14579160C2312yes—
323#14579160C2312yes—
324#14579160C2314yes—
325#14579160C2314yes—
326#14579160C2314yes—
327#14579160C2314yes—
328#14579160C2314yes—
329#14579160C2314yes—
330#14579160C2312yes—
331#14579160C2314yes—
332#14579160C2312yes—
333#14579160C2314yes—
334#14579160C2312yes—
335#14579160C2314yes—
336#14579160C2312yes—
337#14579160C2312yes—
338#14579160C2311yescharacteristic
339#14579160C2311yescharacteristic
340#14579160C2311yescharacteristic
341#14579160C2311yescharacteristic
342#14579160C2312yes—
343#14579160C2311yescharacteristic
344#14579160C2311yescharacteristic
345#14579159C2314yes—
346#14579159C2312yes—
347#14579159C2312yes—
348#14579159C2312yes—
349#14579159C2312yes—
350#14579159C2314yes—
351#14579159C2314yes—
352#14579159C2314yes—
353#14579159C2314yes—
354#14579159C2312yes—
355#14579159C2314yes—
356#14579159C2311yescharacteristic
357#14579159C2311yescharacteristic
358#14579159C2312yes—
359#14579159C2312yes—
360#14579159C2311yescharacteristic
361#14579159C2312yes—
362#14579159C2311yescharacteristic
363#14579159C2311yescharacteristic
364#14579157C2311yescharacteristic
365#14579156C2314yes—
366#14579156C2314yes—
367#14579156C2314yes—
368#14579156C2314yes—
369#14579156C2314yes—
370#14579156C2314yes—
371#14579156C2314yes—
372#14579156C2312yes—
373#14579156C2314yes—
374#14579156C2314yes—
375#14579156C2314yes—
376#14579156C2314yes—
377#14579156C2314yes—
378#14579156C2314yes—
379#14579156C2314yes—
380#14579155C2314yes—
381#14579155C2314yes—
382#14579155C2314yes—
383#14579155C2312yes—
384#14579155C2314yes—
385#14579155C2314yes—
386#14579155C2314yes—
387#14579154C2314yes—
388#14579154C2314yes—
389#14579154C2314yes—
390#14579154C2312yes—
391#14579154C2314yes—
392#14579154C2314yes—
393#14579154C2314yes—
394#14579154C2314yes—
395#14579154C2314yes—
396#14579153C2314yes—
397#14579153C2314yes—
398#14579153C2312yes—
399#14579153C2314yes—
400#14579153C2314yes—
401#14579153C2314yes—
402#14579153C2314yes—
403#14579153C2314yes—
404#14579153C2312yes—
405#14579153C2312yes—
406#14579153C2311yescharacteristic
407#14579152C2314yes—
408#14579152C2314yes—
409#14579152C2314yes—
410#14579152C2314yes—
411#14579152C2314yes—
412#14579152C2314yes—
413#14579152C2312yes—
414#14579152C2312yes—
415#14579152C2312yes—
416#14579152C2312yes—
417#14579152C2314yes—
418#14579152C2314yes—
419#14579152C2312yes—
420#14579152C2312yes—
421#14579151C2314yes—
422#14579151C2314yes—
423#14579151C2314yes—
424#14579151C2314yes—
425#14579151C2312yes—
426#14579151C2314yes—
427#14579151C2312yes—
428#14579151C2314yes—
429#14579151C2314yes—
430#14579151C2314yes—
431#14579151C2314yes—
432#14579151C2314yes—
433#14579151C2314yes—
434#14579151C2314yes—
435#14579151C2314yes—
436#14579151C2314yes—
437#14579151C2312yes—
438#14579151C2314yes—
439#14579151C2314yes—
440#14579151C2314yes—
441#14579151C2314yes—
442#14579151C2314yes—
443#14579151C2314yes—
444#14579151C2314yes—
445#14579151C2312yes—
446#14579151C2314yes—
447#14579151C2314yes—
448#14579151C2314yes—
449#14579151C2314yes—
450#14579151C2314yes—
451#14579151C2314yes—
452#14579151C2312yes—
453#14579151C2314yes—
454#14579151C2312yes—
455#14579151C2312yes—
456#14579151C2312yes—
457#14579151C2312yes—
458#14579151C2312yes—
459#14579150C2314yes—
460#14579150C2312yes—
461#14579149C2312yes—
462#14579149C2314yes—
463#14579149C2311yescharacteristic
464#14579148C2312yes—
465#14579147C2314yes—
466#14579147C2314yes—
467#14579147C2314yes—
468#14579147C2314yes—
469#14579147C2312yes—
470#14579147C2312yes—
471#14579146C2314yes—
472#14579146C2314yes—
473#14579146C2314yes—
474#14579146C2314yes—
475#14579146C2312yes—
476#14579146C2312yes—
477#14579145C2314yes—
478#14579145C2314yes—
479#14579145C2314yes—
480#14579144C2314yes—
481#14579144C2314yes—
482#14579144C2314yes—
483#14579144C2312yes—
484#14579143C2314yes—
485#14579143C2314yes—
486#14579143C2314yes—
487#14579143C2314yes—
488#14579143C2312yes—
489#14579143C2312yes—
490#14579142C2314yes—
491#14579141C2311yescharacteristic
492#14579141C2312yes—
493#14579141C2311yescharacteristic
494#14579141C2312yes—
495#14579141C2312yes—
496#14579141C2312yes—
497#14579141C2314yes—
498#14579141C2311yescharacteristic
499#14579141C2312yes—
500#14579141C2314yes—
501#14579141C2314yes—
502#14579141C2311yescharacteristic
503#14579141C2311yescharacteristic
504#14579141C2312yes—
505#14579140C2312yes—
506#14579140C2312yes—
507#14579140C2314yes—
508#14579140C2314yes—
509#14579140C2314yes—
510#14579140C2312yes—
511#14579140C2312yes—
512#14579140C2311yescharacteristic
513#14579139C2314yes—
514#14579139C2314yes—
515#14579139C2314yes—
516#14579139C2314yes—
517#14579139C2312yes—
518#14579139C2312yes—
519#14579139C2312yes—
520#14579139C2314yes—
521#14579139C2314yes—
522#14579139C2314yes—
523#14579139C2314yes—
524#14579139C2312yes—
525#14579139C2314yes—
526#14579139C2314yes—
527#14579139C2312yes—
528#14579139C2312yes—
529#14579139C2314yes—
530#14579139C2312yes—
531#14579139C2312yes—
532#14579139C2314yes—
533#14579139C2312yes—
534#14579139C2312yes—
535#14579139C2312yes—
536#14579138C2314yes—
537#14579138C2314yes—
538#14579138C2314yes—
539#14579138C2314yes—
540#14579138C2314yes—
541#14579138C2314yes—
542#14579138C2314yes—
543#14579138C2314yes—
544#14579138C2314yes—
545#14579138C2312yes—
546#14579138C2314yes—
547#14579138C2314yes—
548#14579138C2314yes—
549#14579137C2311yescharacteristic
550#14579137C2312yes—
551#14579137C2311yescharacteristic
552#14579137C2312yes—
553#14579137C2312yes—
554#14579137C2312yes—
555#14579137C2314yes—
556#14579137C2311yescharacteristic
557#14579137C2312yes—
558#14579137C2314yes—
559#14579137C2314yes—
560#14579137C2311yescharacteristic
561#14579137C2311yescharacteristic
562#14579137C2312yes—
563#14579136C2311yescharacteristic
564#14579135C2311yescharacteristic
565#14579134C2312yes—
566#14579134C2312yes—
567#14579134C2312yes—
568#14579133C2312yes—
569#14579132C2311yescharacteristic
570#14579131C2312yes—
571#14579129C2312yes—
572Q8×Dic79C2312yes—
573Q8×Dic79C2312yes—
574Q8×Dic79C2312yes—
575Q8×Dic79C2312yes—
576Q8×Dic79C2312yes—
577Q8×Dic79C2312yes—
578Q8×Dic79C2312yes—
579Q8×Dic79C2311yescharacteristic
580C4×Dic158C2312yes—
581C4×Dic158C2314yes—
582C4×Dic158C2314yes—
583C4×Dic158C2314yes—
584C4×Dic158C2312yes—
585C4×Dic158C2312yes—
586C4×Dic158C2312yes—
587C4×Dic158C2312yes—
588C4×Dic158C2311yescharacteristic
589C4×Dic158C2312yes—
590C4×Dic158C2314yes—
591C4×Dic158C2314yes—
592C4×Dic158C2314yes—
593C4×Dic158C2314yes—
594C4×Dic158C2314yes—
595C4×Dic158C2311yescharacteristic
596C4×Dic158C2314yes—
597C4×Dic158C2312yes—
598C4×Dic158C2314yes—
599C4×Dic158C2311yescharacteristic
600C4×Dic158C2311yescharacteristic
601C4×Dic158C2312yes—
602C4×Dic158C2314yes—
603C4×Dic158C2312yes—
604C4×Dic158C2312yes—
605C4×Dic158C2312yes—
606C4×Dic158C2312yes—
607C4×Dic158C2312yes—
608C4×Dic158C2312yes—
609C4×Dic158C2312yes—
610C4×Dic158C2312yes—
611C4×Dic158C2312yes—
612C4×Dic158C2311yescharacteristic
613C4×Dic158C2312yes—
614#14579126C2314yes—
615#14579126C2314yes—
616#14579126C2314yes—
617#14579126C2314yes—
618#14579126C2314yes—
619#14579126C2314yes—
620#14579126C2314yes—
621#14579126C2314yes—
622#14579126C2314yes—
623#14579126C2314yes—
624#14579126C2312yes—
625#14579126C2312yes—
626#14579126C2312yes—
627#14579126C2312yes—
628#14579126C2314yes—
629#14579126C2312yes—
630#14579126C2312yes—
631#14579126C2314yes—
632#14579126C2314yes—
633#14579126C2312yes—
634#14579126C2312yes—
635#14579126C2311yescharacteristic
636#14579126C2312yes—
637#14579126C2312yes—
638C4×D316C2314yes—
639C4×D316C2312yes—
640C4×D316C2312yes—
641C4×D316C2311yescharacteristic
642D4×Dic79C2314yes—
643D4×Dic79C2312yes—
644D4×Dic79C2312yes—
645D4×Dic79C2311yescharacteristic
646#14579123C2314yes—
647#14579123C2312yes—
648#14579123C2312yes—
649#14579123C2312yes—
650#14579123C2312yes—
651#14579123C2311yescharacteristic
652C4×C22⋊D79C2314yes—
653C4×C22⋊D79C2314yes—
654C4×C22⋊D79C2314yes—
655C4×C22⋊D79C2312yes—
656C4×C22⋊D79C2312yes—
657C4×C22⋊D79C2312yes—
658(C22⋊D79)⋊C4C2314yes—
659(C22⋊D79)⋊C4C2314yes—
660(C22⋊D79)⋊C4C2314yes—
661(C22⋊D79)⋊C4C2312yes—
662(C22⋊D79)⋊C4C2312yes—
663(C22⋊D79)⋊C4C2312yes—
664(C22⋊D79)⋊C4C2312yes—
665(C22⋊D79)⋊C4C2312yes—
666(C22⋊D79)⋊C4C2312yes—
667(C22⋊D79)⋊C4C2312yes—
668#14579120C2312yes—
669#14579120C2314yes—
670#14579120C2312yes—
671#14579119C2312yes—
672#14579119C2312yes—
673#14579119C2312yes—
674#14579119C2312yes—
675#14579119C2312yes—
676#14579119C2312yes—
677#14579119C2314yes—
678#14579119C2314yes—
679#14579119C2311yescharacteristic
680#14579119C2314yes—
681#14579119C2311yescharacteristic
682#14579119C2314yes—
683#14579118C2312yes—
684#14579118C2312yes—
685#14579118C2312yes—
686#14579118C2312yes—
687#14579118C2312yes—
688#14579118C2314yes—
689#14579118C2314yes—
690#14579118C2314yes—
691#14579118C2314yes—
692#14579118C2314yes—
693#14579118C2312yes—
694#14579118C2314yes—
695#14579118C2312yes—
696#14579118C2312yes—
697#14579118C2314yes—
698#14579118C2312yes—
699#14579118C2312yes—
700#14579117C2312yes—
701#14579117C2312yes—
702#14579117C2314yes—
703#14579117C2314yes—
704#14579117C2312yes—
705#14579117C2314yes—
706#14579117C2314yes—
707#14579117C2314yes—
708#14579117C2314yes—
709#14579117C2314yes—
710C2×C4⋊Dic79C2312yes—
711C2×C4⋊Dic79C2311yescharacteristic
712C2×Dic79⋊C4C2312yes—
713C2×Dic79⋊C4C2312yes—
714C2×Dic79⋊C4C2314yes—
715C2×Dic79⋊C4C2314yes—
716C2×Dic79⋊C4C2312yes—
717C2×Dic79⋊C4C2312yes—
718C2×Dic79⋊C4C2312yes—
719C4⋊C4×D79C2314yes—
720C4⋊C4×D79C2312yes—
721C4⋊C4×D79C2314yes—
722C4⋊C4×D79C2314yes—
723C4⋊C4×D79C2312yes—
724C4⋊C4×D79C2314yes—
725C4⋊C4×D79C2312yes—
726C4⋊C4×D79C2312yes—
727C2×(C2×D79)⋊C4C2312yes—
728C2×(C2×D79)⋊C4C2312yes—
729C22⋊C4×D79C2314yes—
730C2×C4×Dic79C2311yescharacteristic
731C2×C4×Dic79C2311yescharacteristic
732C2×C4×Dic79C2311yescharacteristic
733C2×C4×Dic79C2312yes—
734C2×C4×Dic79C2312yes—
735C42×D79C2311yescharacteristic
736C42×D79C2311yescharacteristic
737C42×D79C2311yescharacteristic
738C42×D79C2311yescharacteristic
739C42×D79C2311yescharacteristic
740C42×D79C2311yescharacteristic
741C42×D79C2311yescharacteristic
742C42×D79C2311yescharacteristic
743C42×D79C2314yes—
744C42×D79C2312yes—
745C22×Q8×C79C2312yes—
746C22×Q8×C79C2311yescharacteristic
747C4⋊Q8×C79C2312yes—
748C4⋊Q8×C79C2312yes—
749C4⋊Q8×C79C2312yes—
750C4⋊Q8×C79C2314yes—
751C4⋊Q8×C79C2311yescharacteristic
752C4⋊Q8×C79C2311yescharacteristic
753#126×C79C2314yes—
754#126×C79C2312yes—
755#126×C79C2314yes—
756#126×C79C2314yes—
757#126×C79C2314yes—
758#125×C79C2314yes—
759#125×C79C2314yes—
760#125×C79C2312yes—
761#125×C79C2314yes—
762#125×C79C2314yes—
763#125×C79C2312yes—
764#125×C79C2312yes—
765#125×C79C2314yes—
766#125×C79C2311yescharacteristic
767#124×C79C2312yes—
768#124×C79C2311yescharacteristic
769#123×C79C2314yes—
770#123×C79C2312yes—
771C22⋊Q8×C79C2312yes—
772C22⋊Q8×C79C2312yes—
773C22⋊Q8×C79C2314yes—
774C22⋊Q8×C79C2314yes—
775C22⋊Q8×C79C2314yes—
776C22⋊Q8×C79C2312yes—
777C22⋊Q8×C79C2312yes—
778C22⋊Q8×C79C2311yescharacteristic
779#121×C79C2311yescharacteristic
780C4×Q8×C79C2312yes—
781C4×Q8×C79C2312yes—
782C4×Q8×C79C2312yes—
783C4×Q8×C79C2312yes—
784C4×Q8×C79C2311yescharacteristic
785C4×Q8×C79C2312yes—
786C4×Q8×C79C2312yes—
787C4×Q8×C79C2314yes—
788C4×Q8×C79C2312yes—
789C4×Q8×C79C2311yescharacteristic
790C4×Q8×C79C2311yescharacteristic
791C4×Q8×C79C2311yescharacteristic
792C4×Q8×C79C2312yes—
793C4×Q8×C79C2314yes—
794C4×Q8×C79C2311yescharacteristic
795C4×Q8×C79C2312yes—
796C4×D4×C79C2314yes—
797C4×D4×C79C2312yes—
798C4×D4×C79C2312yes—
799C4×D4×C79C2311yescharacteristic
800#117×C79C2312yes—
801#117×C79C2314yes—
802#117×C79C2312yes—
803#117×C79C2314yes—
804#117×C79C2314yes—
805#117×C79C2312yes—
806C2×C4⋊C4×C79C2312yes—
807C2×C4⋊C4×C79C2311yescharacteristic
808C2×C42×C79C2311yescharacteristic
809C2×C42×C79C2312yes—
810C23×D79C2411yescharacteristic
811#11929625—24no—
812#11929624—44no—
813#11929623—28no—
814#11929623—24no—
815C2×Dic158—28no—
816C2×Dic158—42no—
817C2×Dic158—44no—
818C2×Dic158C2411yescharacteristic
819C2×Dic158C2412yes—
820C2×Dic158C2414yes—
821C2×Dic158C2412yes—
822C2×Dic158C2411yescharacteristic
823C2×Dic158C2412yes—
824C2×Dic158C2412yes—
825C2×Dic158C2412yes—
826C2×Dic158C2412yes—
827C2×Dic158C2412yes—
828C2×Dic158C2411yescharacteristic
829C2×Dic158C2414yes—
830C2×Dic158C2414yes—
831C2×Dic158C2414yes—
832C2×Dic158C2414yes—
833C2×Dic158C2412yes—
834C2×Dic158C2412yes—
835Q8×D79—28no—
836Q8×D79—44no—
837Q8×D79—44no—
838Q8×D79—44no—
839C2×D316C2412yes—
840C2×D316C2411yescharacteristic
841C2×D316C2412yes—
842C2×C22⋊D79C2412yes—
843C2×C22⋊D79C2412yes—
844C2×C22⋊D79C2412yes—
845C2×C22⋊D79C2412yes—
846C2×C22⋊D79C2412yes—
847C22×Dic79C2412yes—
848C22×Dic79C2412yes—
849C22×Dic79C2412yes—
850C22×Dic79C2411yescharacteristic
851C22×Dic79C2412yes—
852C22×Dic79C2414yes—
853C22×Dic79C2411yescharacteristic
854C22×Dic79C2411yescharacteristic
855C2×C4×D79—24no—
856C2×C4×D79—24no—
857C2×C4×D79—42no—
858C2×C4×D79C2412yes—
859C2×C4×D79C2411yescharacteristic
860C2×C4×D79C2414yes—
861C2×C4×D79C2412yes—
862C2×C4×D79C2411yescharacteristic
863C2×C4×D79C2412yes—
864C2×C4×D79C2411yescharacteristic
865C2×C4×D79C2411yescharacteristic
866C2×C4×D79C2411yescharacteristic
867C2×C4×D79C2411yescharacteristic
868C2×C4×D79C2411yescharacteristic
869C2×C4×D79C2411yescharacteristic
870C2×C4×D79C2411yescharacteristic
871C2×C4×D79C2414yes—
872C2×C4×D79C2414yes—
873C2×C4×D79C2414yes—
874C2×C4×D79C2411yescharacteristic
875C2×C4×D79C2411yescharacteristic
876C2×C4×D79C2411yescharacteristic
877C4⋊Dic79C2412yes—
878C4⋊Dic79C2412yes—
879C4⋊Dic79C2412yes—
880C4⋊Dic79C2412yes—
881C4⋊Dic79C2414yes—
882C4⋊Dic79C2414yes—
883C4⋊Dic79C2414yes—
884C4⋊Dic79C2414yes—
885C4⋊Dic79C2411yescharacteristic
886C4⋊Dic79C2411yescharacteristic
887C4⋊Dic79C2412yes—
888C4⋊Dic79C2412yes—
889C4⋊Dic79C2412yes—
890C4⋊Dic79C2412yes—
891C4⋊Dic79C2412yes—
892C4⋊Dic79C2411yescharacteristic
893C4⋊Dic79C2412yes—
894C4⋊Dic79C2411yescharacteristic
895C4⋊Dic79C2412yes—
896C4⋊Dic79C2414yes—
897C4⋊Dic79C2414yes—
898C4⋊Dic79C2414yes—
899C4⋊Dic79C2414yes—
900C4⋊Dic79C2414yes—
901C4⋊Dic79C2414yes—
902Dic79⋊C4C2412yes—
903Dic79⋊C4C2414yes—
904Dic79⋊C4C2414yes—
905Dic79⋊C4C2412yes—
906Dic79⋊C4C2414yes—
907Dic79⋊C4C2414yes—
908Dic79⋊C4C2414yes—
909Dic79⋊C4C2414yes—
910Dic79⋊C4C2414yes—
911Dic79⋊C4C2414yes—
912Dic79⋊C4C2412yes—
913Dic79⋊C4C2412yes—
914Dic79⋊C4C2412yes—
915Dic79⋊C4C2412yes—
916Dic79⋊C4C2412yes—
917Dic79⋊C4C2412yes—
918Dic79⋊C4C2412yes—
919Dic79⋊C4C2412yes—
920Dic79⋊C4C2412yes—
921Dic79⋊C4C2412yes—
922Dic79⋊C4C2412yes—
923Dic79⋊C4C2414yes—
924Dic79⋊C4C2414yes—
925Dic79⋊C4C2412yes—
926Dic79⋊C4C2414yes—
927Dic79⋊C4C2414yes—
928Dic79⋊C4C2412yes—
929Dic79⋊C4C2412yes—
930Dic79⋊C4C2412yes—
931Dic79⋊C4C2412yes—
932Dic79⋊C4C2412yes—
933Dic79⋊C4C2412yes—
934Dic79⋊C4C2412yes—
935Dic79⋊C4C2412yes—
936Dic79⋊C4C2412yes—
937Dic79⋊C4C2412yes—
938Dic79⋊C4C2412yes—
939Dic79⋊C4C2412yes—
940Dic79⋊C4C2414yes—
941Dic79⋊C4C2414yes—
942Dic79⋊C4C2414yes—
943Dic79⋊C4C2414yes—
944Dic79⋊C4C2414yes—
945Dic79⋊C4C2414yes—
946Dic79⋊C4C2412yes—
947Dic79⋊C4C2412yes—
948Dic79⋊C4C2412yes—
949Dic79⋊C4C2412yes—
950Dic79⋊C4C2414yes—
951Dic79⋊C4C2414yes—
952Dic79⋊C4C2414yes—
953Dic79⋊C4C2414yes—
954Dic79⋊C4C2414yes—
955Dic79⋊C4C2414yes—
956C22⋊Dic79C2414yes—
957C22⋊Dic79C2412yes—
958C22⋊Dic79C2414yes—
959C22⋊Dic79C2412yes—
960C22⋊Dic79C2412yes—
961C22⋊Dic79C2414yes—
962C22⋊Dic79C2414yes—
963(C2×D79)⋊C4C2414yes—
964(C2×D79)⋊C4C2414yes—
965(C2×D79)⋊C4C2412yes—
966(C2×D79)⋊C4C2412yes—
967(C2×D79)⋊C4C2412yes—
968(C2×D79)⋊C4C2412yes—
969(C2×D79)⋊C4C2412yes—
970(C2×D79)⋊C4C2412yes—
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)⋊C4C2414yes—
978(C2×D79)⋊C4C2414yes—
979(C2×D79)⋊C4C2414yes—
980(C2×D79)⋊C4C2412yes—
981(C2×D79)⋊C4C2412yes—
982(C2×D79)⋊C4C2414yes—
983(C2×D79)⋊C4C2414yes—
984(C2×D79)⋊C4C2414yes—
985(C2×D79)⋊C4C2412yes—
986(C2×D79)⋊C4C2412yes—
987(C2×D79)⋊C4C2412yes—
988(C2×D79)⋊C4C2412yes—
989C4×Dic79C2411yescharacteristic
990C4×Dic79C2411yescharacteristic
991C4×Dic79C2411yescharacteristic
992C4×Dic79C2411yescharacteristic
993C4×Dic79C2411yescharacteristic
994C4×Dic79C2411yescharacteristic
995C4×Dic79C2411yescharacteristic
996C4×Dic79C2411yescharacteristic
997C4×Dic79C2411yescharacteristic
998C4×Dic79C2411yescharacteristic
999C4×Dic79C2411yescharacteristic
1000C4×Dic79C2411yescharacteristic
1001C4×Dic79C2412yes—
1002C4×Dic79C2414yes—
1003C4×Dic79C2414yes—
1004C4×Dic79C2414yes—
1005C4×Dic79C2412yes—
1006C4×Dic79C2412yes—
1007C4×Dic79C2412yes—
1008C4×Dic79C2412yes—
1009C4×Dic79C2412yes—
1010C4×Dic79C2412yes—
1011C4×Dic79C2412yes—
1012C4×Dic79C2412yes—
1013C4×Dic79C2414yes—
1014C4×Dic79C2414yes—
1015C4×Dic79C2414yes—
1016C4×Dic79C2414yes—
1017C4×Dic79C2414yes—
1018C4×Dic79C2414yes—
1019C4×Dic79C2414yes—
1020C4×Dic79C2414yes—
1021C4×Dic79C2414yes—
1022C2×Q8×C79—42no—
1023C2×Q8×C79—44no—
1024C2×Q8×C79C2412yes—
1025C2×Q8×C79C2411yescharacteristic
1026C2×Q8×C79C2412yes—
1027C2×Q8×C79C2411yescharacteristic
1028C2×Q8×C79C2411yescharacteristic
1029C2×Q8×C79C2412yes—
1030C2×Q8×C79C2414yes—
1031C2×D4×C79C2412yes—
1032C2×D4×C79C2411yescharacteristic
1033C22×C4×C79C2412yes—
1034C22×C4×C79C2412yes—
1035C22×C4×C79C2411yescharacteristic
1036C22×C4×C79C2411yescharacteristic
1037C22×C4×C79C2411yescharacteristic
1038C22×C4×C79C2412yes—
1039C22×C4×C79C2414yes—
1040C4⋊C4×C79C2412yes—
1041C4⋊C4×C79C2411yescharacteristic
1042C4⋊C4×C79C2411yescharacteristic
1043C4⋊C4×C79C2412yes—
1044C4⋊C4×C79C2412yes—
1045C4⋊C4×C79C2412yes—
1046C4⋊C4×C79C2412yes—
1047C4⋊C4×C79C2412yes—
1048C4⋊C4×C79C2414yes—
1049C4⋊C4×C79C2414yes—
1050C4⋊C4×C79C2412yes—
1051C4⋊C4×C79C2412yes—
1052C4⋊C4×C79C2414yes—
1053C4⋊C4×C79C2412yes—
1054C4⋊C4×C79C2414yes—
1055C4⋊C4×C79C2412yes—
1056C4⋊C4×C79C2414yes—
1057C4⋊C4×C79C2412yes—
1058C4⋊C4×C79C2411yescharacteristic
1059C4⋊C4×C79C2414yes—
1060C4⋊C4×C79C2412yes—
1061C4⋊C4×C79C2411yescharacteristic
1062C4⋊C4×C79C2414yes—
1063C4⋊C4×C79C2414yes—
1064C4⋊C4×C79C2414yes—
1065C4⋊C4×C79C2412yes—
1066C4⋊C4×C79C2414yes—
1067C22⋊C4×C79C2412yes—
1068C22⋊C4×C79C2412yes—
1069C22⋊C4×C79C2414yes—
1070C22⋊C4×C79C2414yes—
1071C22⋊C4×C79C2412yes—
1072C22⋊C4×C79C2412yes—
1073C22⋊C4×C79C2414yes—
1074C22⋊C4×C79C2412yes—
1075C22⋊C4×C79C2414yes—
1076C42×C79C2411yescharacteristic
1077C42×C79C2412yes—
1078C42×C79C2411yescharacteristic
1079C42×C79C2412yes—
1080C42×C79C2411yescharacteristic
1081C42×C79C2412yes—
1082C42×C79C2411yescharacteristic
1083C42×C79C2412yes—
1084C42×C79C2414yes—
1085C42×C79C2414yes—
1086C42×C79C2414yes—
1087C42×C79C2412yes—
1088C42×C79C2414yes—
1089C23×C79C2512yes—
1090C23×C79C2511yescharacteristic
1091C22×D79—22no—
1092C22×D79—22no—
1093C22×D79—41no—
1094C22×D79C2511yescharacteristic
1095C22×D79C2512yes—
1096C22×D79C2511yescharacteristic
1097Q8×C79—24no—
1098Q8×C79—22no—
1099Q8×C79—24no—
1100Q8×C79—22no—
1101Q8×C79—22no—
1102Q8×C79—44no—
1103Q8×C79—42no—
1104D4×C79—24no—
1105D4×C79—22no—
1106C2×C4×C79—22no—
1107C2×C4×C79—24no—
1108C2×C4×C79—22no—
1109C2×C4×C79—22no—
1110C2×C4×C79—24no—
1111C2×C4×C79—42no—
1112C2×C4×C79—44no—
1113C2×C4×C79C2511yescharacteristic
1114C2×C4×C79C2511yescharacteristic
1115C2×C4×C79C2512yes—
1116C2×C4×C79C2512yes—
1117C2×C4×C79C2514yes—
1118C2×C4×C79C2512yes—
1119C2×C4×C79C2512yes—
1120C2×C4×C79C2511yescharacteristic
1121C2×C4×C79C2511yescharacteristic
1122C2×C4×C79C2514yes—
1123C2×C4×C79C2512yes—
1124C2×C4×C79C2512yes—
1125C2×C4×C79C2512yes—
1126C2×C4×C79C2511yescharacteristic
1127C2×C4×C79C2511yescharacteristic
1128C22⋊D79—24no—
1129C22⋊D79—24no—
1130C22⋊D79—24no—
1131C22⋊D79—42no—
1132C22⋊D79—42no—
1133C2×Dic79—24no—
1134C2×Dic79—22no—
1135C2×Dic79—24no—
1136C2×Dic79—24no—
1137C2×Dic79—41no—
1138C2×Dic79—42no—
1139C2×Dic79—44no—
1140C2×Dic792−1+414yes—
1141C2×Dic79C2512yes—
1142C2×Dic79C2512yes—
1143C2×Dic79C2514yes—
1144C2×Dic79C2512yes—
1145C2×Dic79C2512yes—
1146C2×Dic79C2512yes—
1147C2×Dic79C2512yes—
1148C2×Dic79C2511yescharacteristic
1149C2×Dic79C2514yes—
1150C2×Dic79C2512yes—
1151C2×Dic79C2511yescharacteristic
1152C2×Dic79C2511yescharacteristic
1153C2×Dic79C2511yescharacteristic
1154C2×Dic79C2511yescharacteristic
1155C2×Dic79C2511yescharacteristic
1156D316—24no—
1157D316—22no—
1158D316—42no—
1159C4×D79—22no—
1160C4×D79—28no—
1161C4×D79—22no—
1162C4×D79—22no—
1163C4×D79—22no—
1164C4×D79—24no—
1165C4×D79—22no—
1166C4×D79—22no—
1167C4×D79—22no—
1168C4×D79—22no—
1169C4×D79—22no—
1170C4×D79—24no—
1171C4×D79—24no—
1172C4×D79—41no—
1173C4×D79—41no—
1174C4×D79—44no—
1175C4×D79—44no—
1176C4×D79—44no—
1177C4×D792−1+414yes—
1178Dic158—24no—
1179Dic158—22no—
1180Dic158—24no—
1181Dic158—22no—
1182Dic158—22no—
1183Dic158—28no—
1184Dic158—24no—
1185Dic158—24no—
1186Dic158—24no—
1187Dic158—24no—
1188Dic158—24no—
1189Dic158—44no—
1190Dic158—44no—
1191Dic158—44no—
1192Dic158—44no—
1193Dic158—42no—
1194Dic158—42no—
1195C22×C79—21no—
1196C22×C79—21no—
1197C22×C79—22no—
1198C22×C79—22no—
1199C22×C79—22no—
1200C22×C79C2×2−1+412yes—
1201C22×C79C2611yescharacteristic
1202C2×D79—21no—
1203C2×D79—21no—
1204C2×D79—22no—
1205C2×D79—21no—
1206C2×D79—21no—
1207C2×D79—22no—
1208C2×D79—21no—
1209C2×D79—22no—
1210C2×D79—44no—
1211C2×D79C2×2−1+412yes—
1212C4×C79—22no—
1213C4×C79—22no—
1214C4×C79—21no—
1215C4×C79—21no—
1216C4×C79—21no—
1217C4×C79—22no—
1218C4×C79—24no—
1219C4×C79—22no—
1220C4×C79—22no—
1221C4×C79—21no—
1222C4×C79—22no—
1223C4×C79—22no—
1224C4×C79—24no—
1225C4×C79C2×2−1+412yes—
1226C4×C79#58512yes—
1227Dic79—22no—
1228Dic79—22no—
1229Dic79—24no—
1230Dic79—22no—
1231Dic79—22no—
1232Dic79—21no—
1233Dic79—21no—
1234Dic79—22no—
1235Dic79—22no—
1236Dic79—24no—
1237Dic79—22no—
1238Dic79—21no—
1239Dic79C2×2−1+412yes—
1240Dic79C2×2−1+412yes—
1241Dic79C2×2−1+412yes—
1242#62837—791nomaximal, Sylow
1243C2×C79—22no—
1244C2×C79—42no—
1245C2×C79C22×2−1+411yescharacteristic
1246C2×C79C22×2−1+411yescharacteristic
1247C2×C79C2×#58511yescharacteristic
1248D79—22no—
1249D79—42no—
1250D79—41no—
1251#3563—794no—
1252#3563—794no—
1253#3556—791no—
1254#3556—791no—
1255#3555—792no—
1256#3555—792no—
1257#3555—794no—
1258#3550—791no—
1259#3550—791no—
1260#3538—792no—
1261#3538—792no—
1262#3523—792no—
1263#3523—791no—
1264#3523—791no—
1265#3523—792no—
1266#3523—791no—
1267#3523D7911yescharacteristic, complemented
1268#3509—791no—
1269#3509—791no—
1270#3509—792no—
1271#3509—792no—
1272#3509—792no—
1273#3507—792no—
1274#3507—792no—
1275#3503—791no—
1276#3503—792no—
1277#3503—791no—
1278#3502—792no—
1279#3502—792no—
1280#3495—794no—
1281#3495—792no—
1282#3495—792no—
1283#3444—791no—
1284C2×#533—791no—
1285C2×#533—791no—
1286C79#6283711yescharacteristic, complemented, Sylow
1287#564—794no—
1288#564—794no—
1289#563—794no—
1290#563—794no—
1291#563—794no—
1292#563—794no—
1293#563—794no—
1294#563—794no—
1295#559—792no—
1296#559—792no—
1297Q82—792no—
1298Q82—794no—
1299Q82—792no—
1300Q82—792no—
1301Q82—792no—
1302#557—792no—
1303#557—792no—
1304#557—792no—
1305#557—791no—
1306#557—791no—
1307#557—792no—
1308#557—794no—
1309#557—794no—
1310#557—794no—
1311#557—794no—
1312#557—792no—
1313#557—792no—
1314#557—792no—
1315#557—792no—
1316#557—792no—
1317#557—792no—
1318#557—792no—
1319#557—794no—
1320#557—794no—
1321#557—794no—
1322#557—792no—
1323#557—792no—
1324#557—791no—
1325#557—791no—
1326#557—791no—
1327#557—791no—
1328#557C2×D7912yescomplemented
1329#557C2×D7911yescharacteristic, complemented
1330#557C2×D7911yescharacteristic, complemented
1331#556—791no—
1332#556—794no—
1333#556—794no—
1334#556—794no—
1335#556—794no—
1336#556—792no—
1337#556—792no—
1338#556—792no—
1339#556—794no—
1340#556—794no—
1341#556—792no—
1342#556—792no—
1343#556—792no—
1344#556—791no—
1345#556—791no—
1346#556—794no—
1347#556—792no—
1348#556C2×D7912yescomplemented
1349#556C2×D7911yescharacteristic, complemented
1350#554—794no—
1351#554—792no—
1352#554—794no—
1353#554—794no—
1354#554—794no—
1355#554—794no—
1356#554—792no—
1357#552—794no—
1358#552—794no—
1359#552—794no—
1360#552—794no—
1361#552—794no—
1362#552—794no—
1363#552—794no—
1364#552—794no—
1365#552—792no—
1366#552—794no—
1367#552—794no—
1368#552—792no—
1369#552—792no—
1370#552—794no—
1371#552—792no—
1372#552—792no—
1373#552—794no—
1374#552—794no—
1375#552—794no—
1376#552—794no—
1377#552—794no—
1378#552—794no—
1379#552—794no—
1380#552—792no—
1381#552—794no—
1382#552—792no—
1383#552C2×D7914yes—
1384#552C2×D7912yes—
1385#551—794no—
1386#551—794no—
1387#551—794no—
1388#551—794no—
1389D4×Q8—792no—
1390D4×Q8—792no—
1391D4×Q8—792no—
1392D4×Q8—792no—
1393D4×Q8—791no—
1394D4×Q8—792no—
1395D4×Q8—792no—
1396D4×Q8—792no—
1397D4×Q8—792no—
1398D4×Q8—791no—
1399D4×Q8—792no—
1400D4×Q8—791no—
1401D4×Q8C2×D7912yes—
1402D4×Q8C2×D7911yescharacteristic, complemented
1403#544—792no—
1404#544—794no—
1405#544—794no—
1406#544—792no—
1407#544—794no—
1408#544—794no—
1409#544—794no—
1410#544—794no—
1411#544—794no—
1412#544—794no—
1413#544—794no—
1414#542—792no—
1415#542—794no—
1416#542—792no—
1417#542—794no—
1418#542—792no—
1419#542—792no—
1420#541—792no—
1421#541—792no—
1422#541—794no—
1423#541—794no—
1424#541—794no—
1425#541—794no—
1426#541—794no—
1427#541—794no—
1428#541—794no—
1429#541—794no—
1430#541—794no—
1431#541—794no—
1432#541—792no—
1433#541—792no—
1434#541—792no—
1435#541—792no—
1436#541—792no—
1437#541—792no—
1438#541—792no—
1439#541—792no—
1440#541—794no—
1441#541—794no—
1442#541—792no—
1443#541—794no—
1444#541C2×D7912yescomplemented
1445#541C2×D7914yescomplemented
1446#539—794no—
1447#539—794no—
1448#539—794no—
1449#539—794no—
1450#536—792no—
1451#536—792no—
1452#536—792no—
1453#536—794no—
1454#536—792no—
1455#536—792no—
1456#536—792no—
1457#533—791no—
1458#533—791no—
1459#533—792no—
1460#533—791no—
1461#533—794no—
1462#533—792no—
1463#533—792no—
1464#533—792no—
1465#533—791no—
1466#533—792no—
1467#533—792no—
1468#533—792no—
1469#533—792no—
1470#533—792no—
1471#533—791no—
1472#533—791no—
1473#533—792no—
1474#533—791no—
1475#533—791no—
1476#533—791no—
1477#533—791no—
1478#533—791no—
1479#533—791no—
1480#533—792no—
1481#533—792no—
1482#533—792no—
1483#533—792no—
1484#533—791no—
1485#533—794no—
1486#533—792no—
1487#533—792no—
1488#533—792no—
1489#533—792no—
1490#533—791no—
1491#533—792no—
1492#533C2×D7911yescharacteristic
1493#533C2×D7912yes—
1494#532—791no—
1495#532—791no—
1496#532—791no—
1497C2×C4⋊Q8—791no—
1498C2×C4⋊Q8—792no—
1499C2×C4⋊Q8—791no—
1500C2×C4⋊Q8—791no—
1501C2×C4⋊Q8—792no—
1502C2×C4⋊Q8—791no—
1503#529—792no—
1504#529—792no—
1505#529—794no—
1506#529—791no—
1507#529—791no—
1508#529—792no—
1509#529—792no—
1510#529—792no—
1511#529—792no—
1512#529—794no—
1513#529—791no—
1514#529—792no—
1515#529C2×D7911yescharacteristic
1516#529C2×D7912yes—
1517C2×#125—792no—
1518C2×#125—792no—
1519#525—792no—
1520#525—791no—
1521#525—791no—
1522#525—792no—
1523C2×C22⋊Q8—791no—
1524C2×C22⋊Q8—792no—
1525C2×C22⋊Q8—792no—
1526C2×C22⋊Q8—792no—
1527C2×C22⋊Q8—791no—
1528#520—792no—
1529#520—794no—
1530#520—792no—
1531#519—792no—
1532#519—792no—
1533#519—792no—
1534#519—792no—
1535#519—794no—
1536#519—792no—
1537#519C2×D7912yescomplemented
1538C4×#41—791no—
1539C4×#41—791no—
1540C4×#41—792no—
1541C4×#41—792no—
1542C2×C4×Q8—792no—
1543C2×C4×Q8—792no—
1544C2×C4×Q8—792no—
1545C2×C4×Q8—791no—
1546C2×C4×Q8C2×D7911yescharacteristic
1547C2×#117—792no—
1548C2×#117—792no—
1549C22×C42—791no—
1550C2×#41—791no—
1551C2×#41—792no—
1552C2×#41—791no—
1553C2×#41—792no—
1554C22×Q8—792no—
1555C22×Q8—792no—
1556C22×Q8—792no—
1557C22×Q8—792no—
1558C22×Q8—791no—
1559C22×Q8—792no—
1560C22×Q8—792no—
1561C22×Q8C22×D7911yescharacteristic
1562C22×Q8C22×D7912yes—
1563C23×C4—791no—
1564C23×C4—791no—
1565C23×C4—791no—
1566C4⋊Q8—791no—
1567C4⋊Q8—792no—
1568C4⋊Q8—791no—
1569C4⋊Q8—792no—
1570C4⋊Q8—791no—
1571C4⋊Q8—791no—
1572C4⋊Q8—792no—
1573C4⋊Q8—792no—
1574C4⋊Q8—792no—
1575C4⋊Q8—792no—
1576C4⋊Q8—794no—
1577C4⋊Q8—794no—
1578C4⋊Q8—791no—
1579C4⋊Q8—792no—
1580C4⋊Q8—792no—
1581C4⋊Q8—794no—
1582C4⋊Q8—794no—
1583C4⋊Q8—794no—
1584C4⋊Q8—794no—
1585C4⋊Q8—792no—
1586C4⋊Q8—791no—
1587C4⋊Q8—791no—
1588C4⋊Q8—792no—
1589C4⋊Q8—792no—
1590C4⋊Q8—792no—
1591C4⋊Q8—792no—
1592C4⋊Q8—792no—
1593C4⋊Q8—791no—
1594C4⋊Q8—791no—
1595C4⋊Q8—794no—
1596C4⋊Q8—794no—
1597C4⋊Q8—791no—
1598C4⋊Q8—791no—
1599C4⋊Q8—794no—
1600C4⋊Q8—794no—
1601C4⋊Q8—794no—
1602C4⋊Q8—792no—
1603C4⋊Q8—792no—
1604C4⋊Q8—794no—
1605C4⋊Q8—794no—
1606C4⋊Q8—794no—
1607C4⋊Q8—794no—
1608C4⋊Q8—794no—
1609C4⋊Q8—794no—
1610C4⋊Q8—791no—
1611C4⋊Q8—791no—
1612C4⋊Q8—792no—
1613C4⋊Q8—792no—
1614C4⋊Q8—792no—
1615C4⋊Q8—794no—
1616C4⋊Q8—794no—
1617C4⋊Q8C22×D7911yescharacteristic
1618C4⋊Q8C22×D7911yescharacteristic
1619C4⋊Q8C22×D7912yes—
1620C4⋊Q8C22×D7912yes—
1621C4⋊Q8C22×D7912yes—
1622C4⋊Q8C22×D7914yes—
1623#127—791no—
1624#126—792no—
1625#126—794no—
1626#126—794no—
1627#126—794no—
1628#126—794no—
1629#126—794no—
1630#126—794no—
1631#126—794no—
1632#126—794no—
1633#126—794no—
1634#126—794no—
1635#126—794no—
1636#126—794no—
1637#126—794no—
1638#126—794no—
1639#126—792no—
1640#126—794no—
1641#126—794no—
1642#126—794no—
1643#126—794no—
1644#126—794no—
1645#126—794no—
1646#126—794no—
1647#126—794no—
1648#126—792no—
1649#126—794no—
1650#126—794no—
1651#126—794no—
1652#126—794no—
1653#126—794no—
1654#126—794no—
1655#126C22×D7912yes—
1656#126C22×D7914yes—
1657#126C22×D7914yes—
1658#126C22×D7914yes—
1659#126C22×D7914yes—
1660#125—792no—
1661#125—792no—
1662#125—794no—
1663#125—792no—
1664#125—792no—
1665#125—794no—
1666#125—792no—
1667#125—792no—
1668#125—792no—
1669#125—792no—
1670#125—792no—
1671#125—792no—
1672#125—792no—
1673#125—792no—
1674#125—794no—
1675#125—794no—
1676#125—792no—
1677#125—792no—
1678#125—794no—
1679#125—794no—
1680#125—794no—
1681#125—794no—
1682#125—792no—
1683#125—792no—
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—794no—
1699#125—794no—
1700#125—794no—
1701#125—794no—
1702#125—794no—
1703#125—794no—
1704#125—794no—
1705#125—794no—
1706#125—794no—
1707#125—794no—
1708#125—794no—
1709#125—794no—
1710#125—794no—
1711#125—794no—
1712#125—792no—
1713#125—791no—
1714#125—792no—
1715#125—794no—
1716#125—792no—
1717#125—794no—
1718#125—794no—
1719#125—794no—
1720#125—794no—
1721#125—794no—
1722#125—794no—
1723#125C22×D7912yes—
1724#125C22×D7911yescharacteristic
1725#125C22×D7912yes—
1726#125C22×D7914yes—
1727#125C22×D7912yes—
1728#125C22×D7914yes—
1729#125C22×D7914yes—
1730#125C22×D7914yes—
1731#125C22×D7914yes—
1732#124—792no—
1733#124—794no—
1734#124—792no—
1735#124—792no—
1736#124—792no—
1737#124—794no—
1738#124—794no—
1739#124—794no—
1740#124—794no—
1741#124—791no—
1742#124—792no—
1743#124—794no—
1744#124C22×D7911yescharacteristic
1745#124C22×D7912yes—
1746#123—794no—
1747#123—792no—
1748#123—794no—
1749#123—794no—
1750#123—794no—
1751#123—792no—
1752#123—792no—
1753#123—794no—
1754#123—794no—
1755#123—794no—
1756#123—794no—
1757#123—792no—
1758#123—792no—
1759#123—794no—
1760#123—794no—
1761#123—794no—
1762#123—794no—
1763#123—794no—
1764#123—794no—
1765#123—794no—
1766#123C22×D7912yes—
1767#123C22×D7914yes—
1768C22⋊Q8—791no—
1769C22⋊Q8—792no—
1770C22⋊Q8—791no—
1771C22⋊Q8—792no—
1772C22⋊Q8—792no—
1773C22⋊Q8—791no—
1774C22⋊Q8—791no—
1775C22⋊Q8—792no—
1776C22⋊Q8—791no—
1777C22⋊Q8—792no—
1778C22⋊Q8—792no—
1779C22⋊Q8—794no—
1780C22⋊Q8—794no—
1781C22⋊Q8—794no—
1782C22⋊Q8—792no—
1783C22⋊Q8—792no—
1784C22⋊Q8—791no—
1785C22⋊Q8—792no—
1786C22⋊Q8—792no—
1787C22⋊Q8—794no—
1788C22⋊Q8—794no—
1789C22⋊Q8—794no—
1790C22⋊Q8—792no—
1791C22⋊Q8—792no—
1792C22⋊Q8—792no—
1793C22⋊Q8—791no—
1794C22⋊Q8—791no—
1795C22⋊Q8—792no—
1796C22⋊Q8—792no—
1797C22⋊Q8—792no—
1798C22⋊Q8—792no—
1799C22⋊Q8—791no—
1800C22⋊Q8—791no—
1801C22⋊Q8—792no—
1802C22⋊Q8—792no—
1803C22⋊Q8—794no—
1804C22⋊Q8—792no—
1805C22⋊Q8—792no—
1806C22⋊Q8—794no—
1807C22⋊Q8—792no—
1808C22⋊Q8—792no—
1809C22⋊Q8—792no—
1810C22⋊Q8—791no—
1811C22⋊Q8—792no—
1812C22⋊Q8—792no—
1813C22⋊Q8—792no—
1814C22⋊Q8—794no—
1815C22⋊Q8—794no—
1816C22⋊Q8—794no—
1817C22⋊Q8—794no—
1818C22⋊Q8—794no—
1819C22⋊Q8—794no—
1820C22⋊Q8—794no—
1821C22⋊Q8—794no—
1822C22⋊Q8—794no—
1823C22⋊Q8—794no—
1824C22⋊Q8—794no—
1825C22⋊Q8—794no—
1826C22⋊Q8—794no—
1827C22⋊Q8—794no—
1828C22⋊Q8—794no—
1829C22⋊Q8—792no—
1830C22⋊Q8—794no—
1831C22⋊Q8—794no—
1832C22⋊Q8—794no—
1833C22⋊Q8—794no—
1834C22⋊Q8—794no—
1835C22⋊Q8—794no—
1836C22⋊Q8—794no—
1837C22⋊Q8—794no—
1838C22⋊Q8—794no—
1839C22⋊Q8—794no—
1840C22⋊Q8C22×D7912yes—
1841C22⋊Q8C22×D7912yes—
1842C22⋊Q8C22×D7911yescharacteristic
1843C22⋊Q8C22×D7912yes—
1844C22⋊Q8C22×D7912yes—
1845C22⋊Q8C22×D7914yes—
1846C22⋊Q8C22×D7914yes—
1847C22⋊Q8C22×D7914yes—
1848#121—792no—
1849#121—791no—
1850#121—791no—
1851#121—791no—
1852#121—792no—
1853#121—792no—
1854#121—792no—
1855#121C22×D7911yescharacteristic
1856#120—792no—
1857#120—792no—
1858C4×Q8—792no—
1859C4×Q8—792no—
1860C4×Q8—791no—
1861C4×Q8—792no—
1862C4×Q8—792no—
1863C4×Q8—792no—
1864C4×Q8—792no—
1865C4×Q8—792no—
1866C4×Q8—792no—
1867C4×Q8—794no—
1868C4×Q8—794no—
1869C4×Q8—792no—
1870C4×Q8—792no—
1871C4×Q8—792no—
1872C4×Q8—792no—
1873C4×Q8—791no—
1874C4×Q8—794no—
1875C4×Q8—792no—
1876C4×Q8—792no—
1877C4×Q8—792no—
1878C4×Q8—794no—
1879C4×Q8—794no—
1880C4×Q8—794no—
1881C4×Q8—794no—
1882C4×Q8—794no—
1883C4×Q8—794no—
1884C4×Q8—794no—
1885C4×Q8—794no—
1886C4×Q8—794no—
1887C4×Q8—792no—
1888C4×Q8—794no—
1889C4×Q8—792no—
1890C4×Q8—792no—
1891C4×Q8—791no—
1892C4×Q8—791no—
1893C4×Q8—794no—
1894C4×Q8—792no—
1895C4×Q8—791no—
1896C4×Q8—791no—
1897C4×Q8—794no—
1898C4×Q8—792no—
1899C4×Q8—792no—
1900C4×Q8—792no—
1901C4×Q8—792no—
1902C4×Q8—792no—
1903C4×Q8—792no—
1904C4×Q8—792no—
1905C4×Q8—792no—
1906C4×Q8—792no—
1907C4×Q8—792no—
1908C4×Q8—792no—
1909C4×Q8—791no—
1910C4×Q8—794no—
1911C4×Q8—792no—
1912C4×Q8—792no—
1913C4×Q8—792no—
1914C4×Q8—794no—
1915C4×Q8—794no—
1916C4×Q8—794no—
1917C4×Q8—794no—
1918C4×Q8—794no—
1919C4×Q8—794no—
1920C4×Q8—794no—
1921C4×Q8—792no—
1922C4×Q8—794no—
1923C4×Q8—792no—
1924C4×Q8C22×D7912yes—
1925C4×Q8C22×D7912yes—
1926C4×Q8C22×D7911yescharacteristic
1927C4×Q8C22×D7911yescharacteristic
1928C4×Q8C22×D7912yes—
1929C4×Q8C22×D7911yescharacteristic
1930C4×Q8C22×D7911yescharacteristic
1931C4×Q8C22×D7912yes—
1932C4×Q8C22×D7911yescharacteristic
1933C4×Q8C22×D7912yes—
1934C4×Q8C22×D7912yes—
1935C4×Q8C22×D7912yes—
1936C4×Q8C22×D7912yes—
1937C4×Q8C22×D7914yes—
1938C4×Q8C22×D7914yes—
1939C4×Q8C22×D7912yes—
1940C4×D4—792no—
1941C4×D4—791no—
1942C4×D4—794no—
1943C4×D4—792no—
1944C4×D4—792no—
1945C4×D4—792no—
1946C4×D4—792no—
1947C4×D4—794no—
1948C4×D4—794no—
1949C4×D4—794no—
1950C4×D4—792no—
1951C4×D4—792no—
1952C4×D4—792no—
1953C4×D4—791no—
1954C4×D4—794no—
1955C4×D4—792no—
1956C4×D4—792no—
1957C4×D4—792no—
1958C4×D4—792no—
1959C4×D4—792no—
1960C4×D4—792no—
1961C4×D4—792no—
1962C4×D4—792no—
1963C4×D4—794no—
1964C4×D4—794no—
1965C4×D4—794no—
1966C4×D4—792no—
1967C4×D4—791no—
1968C4×D4—794no—
1969C4×D4—792no—
1970C4×D4C22×D7912yes—
1971C4×D4C22×D7911yescharacteristic
1972C4×D4C22×D7914yes—
1973C4×D4C22×D7912yes—
1974#117—792no—
1975#117—792no—
1976#117—794no—
1977#117—792no—
1978#117—792no—
1979#117—791no—
1980#117—791no—
1981#117—792no—
1982#117—792no—
1983#117—794no—
1984#117—794no—
1985#117—792no—
1986#117—792no—
1987#117—794no—
1988#117—794no—
1989#117—794no—
1990#117—792no—
1991#117—792no—
1992#117—792no—
1993#117—794no—
1994#117—794no—
1995#117—794no—
1996#117—794no—
1997#117—794no—
1998#117—794no—
1999#117—792no—
2000#117—792no—
2001#117—792no—
2002#117—792no—
2003#117—792no—
2004#117—792no—
2005#117—794no—
2006#117—792no—
2007#117—792no—
2008#117—792no—
2009#117—792no—
2010#117—794no—
2011#117—794no—
2012#117—794no—
2013#117—794no—
2014#117—794no—
2015#117—794no—
2016#117C22×D7912yes—
2017#117C22×D7912yes—
2018#117C22×D7914yes—
2019#117C22×D7914yes—
2020#117C22×D7914yes—
2021#117C22×D7912yes—
2022C2×C4⋊C4—792no—
2023C2×C4⋊C4—792no—
2024C2×C4⋊C4—792no—
2025C2×C4⋊C4—792no—
2026C2×C4⋊C4—792no—
2027C2×C4⋊C4—792no—
2028C2×C4⋊C4—791no—
2029C2×C4⋊C4—794no—
2030C2×C4⋊C4—794no—
2031C2×C4⋊C4—792no—
2032C2×C4⋊C4—792no—
2033C2×C4⋊C4—792no—
2034C2×C4⋊C4—794no—
2035C2×C4⋊C4—794no—
2036C2×C4⋊C4—792no—
2037C2×C4⋊C4—794no—
2038C2×C4⋊C4—794no—
2039C2×C4⋊C4C22×D7912yes—
2040C2×C4⋊C4C22×D7911yescharacteristic
2041C2×C22⋊C4—792no—
2042C2×C22⋊C4—792no—
2043C2×C22⋊C4—794no—
2044C2×C42—792no—
2045C2×C42—791no—
2046C2×C42—792no—
2047C2×C42—791no—
2048C2×C42—791no—
2049C2×C42—794no—
2050C2×C42—791no—
2051C2×C42—791no—
2052C2×C42—792no—
2053C2×C42—791no—
2054C2×C42—791no—
2055C2×C42—791no—
2056C2×C42—791no—
2057C2×C42—791no—
2058C2×C42—791no—
2059C2×C42C22×D7912yes—
2060C2×C42C22×D7911yescharacteristic
2061C24—791no—
2062#41—3164no—
2063#41—1588no—
2064#41—1584no—
2065#41—1584no—
2066C2×Q8—42no—
2067C2×Q8—44no—
2068C2×Q8—3162no—
2069C2×Q8—3164no—
2070C2×Q8—3164no—
2071C2×Q8—3164no—
2072C2×Q8—3164no—
2073C2×Q8—794no—
2074C2×Q8—792no—
2075C2×Q8—794no—
2076C2×Q8—794no—
2077C2×Q8—794no—
2078C2×Q8—792no—
2079C2×Q8—792no—
2080C2×Q8—794no—
2081C2×Q8—792no—
2082C2×Q8—792no—
2083C2×Q8—792no—
2084C2×Q8—792no—
2085C2×Q8—792no—
2086C2×Q8—791no—
2087C2×Q8—792no—
2088C2×Q8—791no—
2089C2×Q8—791no—
2090C2×Q8—1588no—
2091C2×Q8—1588no—
2092C2×Q8C23×D7912yes—
2093C2×Q8C23×D7911yescharacteristic
2094C2×Q8C23×D7912yes—
2095C2×Q8C23×D7911yescharacteristic
2096C2×Q8C23×D7911yescharacteristic
2097C2×Q8C23×D7912yes—
2098C2×Q8C23×D7914yes—
2099C2×D4—792no—
2100C2×D4—792no—
2101C2×D4—792no—
2102C2×D4—792no—
2103C2×D4—792no—
2104C2×D4—792no—
2105C2×D4—792no—
2106C2×D4—791no—
2107C2×D4C23×D7912yes—
2108C2×D4C23×D7911yescharacteristic
2109C22×C4—3162no—
2110C22×C4—791no—
2111C22×C4—792no—
2112C22×C4—794no—
2113C22×C4—791no—
2114C22×C4—791no—
2115C22×C4—794no—
2116C22×C4—794no—
2117C22×C4—794no—
2118C22×C4—791no—
2119C22×C4—791no—
2120C22×C4—791no—
2121C22×C4—792no—
2122C22×C4—792no—
2123C22×C4—792no—
2124C22×C4—791no—
2125C22×C4—791no—
2126C22×C4—791no—
2127C22×C4—791no—
2128C22×C4—791no—
2129C22×C4—791no—
2130C22×C4—791no—
2131C22×C4—791no—
2132C22×C4—791no—
2133C22×C4—794no—
2134C22×C4—792no—
2135C22×C4—792no—
2136C22×C4—792no—
2137C22×C4—1584no—
2138C22×C4—1584no—
2139C22×C4C23×D7911yescharacteristic
2140C22×C4C23×D7911yescharacteristic
2141C22×C4C23×D7911yescharacteristic
2142C22×C4C23×D7912yes—
2143C22×C4C23×D7912yes—
2144C22×C4C23×D7912yes—
2145C22×C4C23×D7914yes—
2146C4⋊C4—792no—
2147C4⋊C4—794no—
2148C4⋊C4—794no—
2149C4⋊C4—792no—
2150C4⋊C4—792no—
2151C4⋊C4—792no—
2152C4⋊C4—792no—
2153C4⋊C4—794no—
2154C4⋊C4—792no—
2155C4⋊C4—794no—
2156C4⋊C4—792no—
2157C4⋊C4—792no—
2158C4⋊C4—792no—
2159C4⋊C4—792no—
2160C4⋊C4—792no—
2161C4⋊C4—792no—
2162C4⋊C4—792no—
2163C4⋊C4—792no—
2164C4⋊C4—794no—
2165C4⋊C4—794no—
2166C4⋊C4—794no—
2167C4⋊C4—794no—
2168C4⋊C4—792no—
2169C4⋊C4—792no—
2170C4⋊C4—794no—
2171C4⋊C4—794no—
2172C4⋊C4—792no—
2173C4⋊C4—792no—
2174C4⋊C4—794no—
2175C4⋊C4—792no—
2176C4⋊C4—792no—
2177C4⋊C4—794no—
2178C4⋊C4—792no—
2179C4⋊C4—792no—
2180C4⋊C4—792no—
2181C4⋊C4—792no—
2182C4⋊C4—792no—
2183C4⋊C4—792no—
2184C4⋊C4—792no—
2185C4⋊C4—792no—
2186C4⋊C4—792no—
2187C4⋊C4—792no—
2188C4⋊C4—794no—
2189C4⋊C4—794no—
2190C4⋊C4—794no—
2191C4⋊C4—794no—
2192C4⋊C4—794no—
2193C4⋊C4—794no—
2194C4⋊C4—794no—
2195C4⋊C4—794no—
2196C4⋊C4—794no—
2197C4⋊C4—794no—
2198C4⋊C4—794no—
2199C4⋊C4—794no—
2200C4⋊C4—792no—
2201C4⋊C4—791no—
2202C4⋊C4—791no—
2203C4⋊C4—792no—
2204C4⋊C4—792no—
2205C4⋊C4—792no—
2206C4⋊C4—794no—
2207C4⋊C4—794no—
2208C4⋊C4—794no—
2209C4⋊C4—792no—
2210C4⋊C4—792no—
2211C4⋊C4—792no—
2212C4⋊C4—794no—
2213C4⋊C4—792no—
2214C4⋊C4—792no—
2215C4⋊C4—791no—
2216C4⋊C4—791no—
2217C4⋊C4—792no—
2218C4⋊C4—792no—
2219C4⋊C4—794no—
2220C4⋊C4—794no—
2221C4⋊C4—794no—
2222C4⋊C4—794no—
2223C4⋊C4—794no—
2224C4⋊C4—794no—
2225C4⋊C4C23×D7912yes—
2226C4⋊C4C23×D7914yes—
2227C4⋊C4C23×D7912yes—
2228C4⋊C4C23×D7912yes—
2229C4⋊C4C23×D7912yes—
2230C4⋊C4C23×D7914yes—
2231C4⋊C4C23×D7914yes—
2232C4⋊C4C23×D7914yes—
2233C4⋊C4C23×D7911yescharacteristic
2234C4⋊C4C23×D7912yes—
2235C4⋊C4C23×D7911yescharacteristic
2236C4⋊C4C23×D7912yes—
2237C4⋊C4C23×D7912yes—
2238C4⋊C4C23×D7912yes—
2239C4⋊C4C23×D7912yes—
2240C4⋊C4C23×D7911yescharacteristic
2241C4⋊C4C23×D7912yes—
2242C4⋊C4C23×D7911yescharacteristic
2243C4⋊C4C23×D7912yes—
2244C4⋊C4C23×D7914yes—
2245C4⋊C4C23×D7914yes—
2246C4⋊C4C23×D7912yes—
2247C4⋊C4C23×D7912yes—
2248C4⋊C4C23×D7914yes—
2249C4⋊C4C23×D7914yes—
2250C4⋊C4C23×D7914yes—
2251C4⋊C4C23×D7914yes—
2252C22⋊C4—794no—
2253C22⋊C4—792no—
2254C22⋊C4—794no—
2255C22⋊C4—792no—
2256C22⋊C4—792no—
2257C22⋊C4—794no—
2258C22⋊C4—794no—
2259C22⋊C4—792no—
2260C22⋊C4—792no—
2261C22⋊C4—792no—
2262C22⋊C4—792no—
2263C22⋊C4—794no—
2264C22⋊C4—792no—
2265C22⋊C4—792no—
2266C22⋊C4—792no—
2267C22⋊C4—794no—
2268C22⋊C4—792no—
2269C22⋊C4—792no—
2270C22⋊C4—792no—
2271C22⋊C4—792no—
2272C22⋊C4—792no—
2273C22⋊C4—794no—
2274C22⋊C4—794no—
2275C22⋊C4—792no—
2276C22⋊C4—792no—
2277C22⋊C4—792no—
2278C22⋊C4—792no—
2279C22⋊C4—792no—
2280C22⋊C4—792no—
2281C22⋊C4—794no—
2282C22⋊C4—794no—
2283C22⋊C4—794no—
2284C22⋊C4—794no—
2285C22⋊C4C23×D7914yes—
2286C22⋊C4C23×D7912yes—
2287C22⋊C4C23×D7912yes—
2288C22⋊C4C23×D7912yes—
2289C22⋊C4C23×D7912yes—
2290C22⋊C4C23×D7912yes—
2291C22⋊C4C23×D7914yes—
2292C22⋊C4C23×D7914yes—
2293C22⋊C4C23×D7914yes—
2294C42—791no—
2295C42—791no—
2296C42—791no—
2297C42—791no—
2298C42—791no—
2299C42—791no—
2300C42—791no—
2301C42—791no—
2302C42—791no—
2303C42—791no—
2304C42—791no—
2305C42—791no—
2306C42—794no—
2307C42—792no—
2308C42—792no—
2309C42—792no—
2310C42—792no—
2311C42—792no—
2312C42—792no—
2313C42—792no—
2314C42—794no—
2315C42—794no—
2316C42—792no—
2317C42—792no—
2318C42—794no—
2319C42—794no—
2320C42—794no—
2321C42—794no—
2322C42—794no—
2323C42—794no—
2324C42—794no—
2325C42—794no—
2326C42—794no—
2327C42C23×D7911yescharacteristic
2328C42C23×D7911yescharacteristic
2329C42C23×D7911yescharacteristic
2330C42C23×D7911yescharacteristic
2331C42C23×D7914yes—
2332C42C23×D7912yes—
2333C42C23×D7912yes—
2334C42C23×D7912yes—
2335C42C23×D7912yes—
2336C42C23×D7912yes—
2337C42C23×D7914yes—
2338C42C23×D7914yes—
2339C42C23×D7914yes—
2340C23—3161no—
2341C23—791no—
2342C23—791no—
2343C23—792no—
2344C23—1582no—
2345C23—1582no—
2346C23C24×D7912yes—
2347C23C24×D7911yescharacteristic
2348Q8—24no—
2349Q8—22no—
2350Q8—22no—
2351Q8—22no—
2352Q8—24no—
2353Q8—42no—
2354Q8—44no—
2355Q8—3162no—
2356Q8—3164no—
2357Q8—3164no—
2358Q8—3164no—
2359Q8—3164no—
2360Q8—3162no—
2361Q8—1584no—
2362Q8—1584no—
2363Q8—1584no—
2364Q8—1584no—
2365Q8—1588no—
2366Q8—1584no—
2367Q8—1584no—
2368Q8—1582no—
2369Q8—1582no—
2370Q8—1582no—
2371Q8—1584no—
2372D4—24no—
2373D4—22no—
2374D4—3162no—
2375D4—3162no—
2376D4—3162no—
2377D4—1584no—
2378D4—1584no—
2379D4—1584no—
2380D4—1584no—
2381D4—1582no—
2382C2×C4—22no—
2383C2×C4—24no—
2384C2×C4—22no—
2385C2×C4—22no—
2386C2×C4—24no—
2387C2×C4—42no—
2388C2×C4—44no—
2389C2×C4—3161no—
2390C2×C4—3161no—
2391C2×C4—3164no—
2392C2×C4—3164no—
2393C2×C4—3164no—
2394C2×C4—3161no—
2395C2×C4—3162no—
2396C2×C4—3164no—
2397C2×C4—794no—
2398C2×C4—791no—
2399C2×C4—791no—
2400C2×C4—791no—
2401C2×C4—794no—
2402C2×C4—794no—
2403C2×C4—792no—
2404C2×C4—792no—
2405C2×C4—792no—
2406C2×C4—792no—
2407C2×C4—792no—
2408C2×C4—791no—
2409C2×C4—794no—
2410C2×C4—792no—
2411C2×C4—792no—
2412C2×C4—791no—
2413C2×C4—791no—
2414C2×C4—1582no—
2415C2×C4—1582no—
2416C2×C4—1582no—
2417C2×C4—1582no—
2418C2×C4—1582no—
2419C2×C4—1584no—
2420C2×C4—1584no—
2421C2×C4—1582no—
2422C2×C4—1588no—
2423C2×C4—1582no—
2424C2×C4—1584no—
2425C2×C4—1584no—
2426C2×C4—1584no—
2427C2×C4—1582no—
2428C2×C4—1582no—
2429C2×C4—1582no—
2430C2×C4—1584no—
2431C2×C4C24×D7911yescharacteristic
2432C2×C4C24×D7911yescharacteristic
2433C2×C4C24×D7912yes—
2434C2×C4C24×D7912yes—
2435C2×C4C24×D7914yes—
2436C2×C4C24×D7912yes—
2437C2×C4C24×D7912yes—
2438C2×C4C24×D7911yescharacteristic
2439C2×C4C24×D7911yescharacteristic
2440C2×C4C24×D7914yes—
2441C2×C4C24×D7912yes—
2442C2×C4C24×D7912yes—
2443C2×C4C24×D7912yes—
2444C2×C4C24×D7911yescharacteristic
2445C2×C4C24×D7911yescharacteristic
2446C22—21no—
2447C22—21no—
2448C22—22no—
2449C22—22no—
2450C22—22no—
2451C22—3164no—
2452C22—792no—
2453C22—1581no—
2454C22—1581no—
2455C22—1582no—
2456C22—1582no—
2457C22—1582no—
2458C22—1581no—
2459C22—1581no—
2460C22—1581no—
2461C222−1+4×D7912yes—
2462C22C25×D7911yescharacteristic
2463C4—21no—
2464C4—21no—
2465C4—21no—
2466C4—22no—
2467C4—22no—
2468C4—22no—
2469C4—22no—
2470C4—24no—
2471C4—21no—
2472C4—22no—
2473C4—22no—
2474C4—22no—
2475C4—24no—
2476C4—792no—
2477C4—792no—
2478C4—792no—
2479C4—1581no—
2480C4—1582no—
2481C4—1582no—
2482C4—1582no—
2483C4—1582no—
2484C4—1584no—
2485C4—1582no—
2486C4—1584no—
2487C4—1582no—
2488C4—1581no—
2489C4—1581no—
2490C4—1582no—
2491C42−1+4×D7912yes—
2492C4#1909939912yes—
2493C2—22no—
2494C2—42no—
2495C2—3161no—
2496C2—3162no—
2497C2—1582no—
2498C2C2×2−1+4×D7911yescharacteristic
2499C2C2×2−1+4×D7911yescharacteristic
2500C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3523C2
prime radical#23776694C2
hypercenter#3523D79
hypocenterC79#62837
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3523

Complements

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

NH ≅ G/Ntype
1. #23777998C2semidirect
2. #23777997C2semidirect
3. #23777892C2semidirect
4. #23777892C2semidirect
5. #23777887C2semidirect
6. #23777881C2semidirect
7. #23777880C2semidirect
8. #23777813C2semidirect
9. #23777807C2semidirect
10. #23777646C2semidirect
11. #23777641C2semidirect
12. #23777496C2semidirect
13. #23777494C2semidirect
14. #23777492C2semidirect
15. #23777490C2semidirect
16. #23777488C2semidirect
17. #23777283C2semidirect
18. #23777282C2semidirect
19. #23777281C2semidirect
20. #23777280C2semidirect
21. #23777278C2semidirect
22. #23777261C2semidirect
23. #23777256C2semidirect
24. #23777217C2semidirect
25. #23777211C2semidirect
26. #23777211C2semidirect
27. #23777207C2semidirect
28. #23777205C2semidirect
29. #23777147C2semidirect
30. #23777143C2semidirect
31. #23777140C2semidirect
33. C2×#19099117C2semidirect
34. #533×D79C2semidirect
35. C79×#3523C2semidirect
36. C79⋊#564C22semidirect
37. C79⋊#564C22semidirect
40. #19099315C22semidirect
42. #19099314C22semidirect
44. #19099296C22semidirect
45. #19099295C22semidirect
46. Q8×Dic158C22semidirect
47. Q8×Dic158C22semidirect
48. #19099293C22semidirect
49. #19099293C22semidirect
50. #19099293C22semidirect
51. #19099292C22semidirect
52. #19099292C22semidirect
53. #19099291C22semidirect
54. #19099291C22semidirect
55. #19099291C22semidirect
56. #19099291C22semidirect
57. #19099291C22semidirect
58. #19099291C22semidirect
59. #19099291C22semidirect
60. #19099291C22semidirect
61. #19099291C22semidirect
62. #19099290C22semidirect
63. #19099290C22semidirect
64. #19099290C22semidirect
65. #19099290C22semidirect
66. #19099290C22semidirect
67. #19099290C22semidirect
68. #19099290C22semidirect
69. #19099289C22semidirect
70. #19099289C22semidirect
71. #19099289C22semidirect
72. #19099288C22semidirect
73. #19099288C22semidirect
74. #19099288C22semidirect
75. #19099288C22semidirect
76. #19099288C22semidirect
77. #19099287C22semidirect
78. #19099286C22semidirect
79. #19099286C22semidirect
82. #19099285C22semidirect
83. #19099285C22semidirect
84. #19099284C22semidirect
85. #19099283C22semidirect
86. #19099282C22semidirect
87. #19099282C22semidirect
88. #19099281C22semidirect
89. #19099281C22semidirect
92. #19099280C22semidirect
93. #19099280C22semidirect
95. #19099272C22semidirect
97. #19099269C22semidirect
100. #19099267C22semidirect
112. #19099249C22semidirect
113. #19099249C22semidirect
121. #19099246C22semidirect
122. #19099246C22semidirect
132. Q8×D316C22semidirect
134. D4×Dic158C22semidirect
136. #19099228C22semidirect
139. Q8×C22⋊D79C22semidirect
142. #19099226C22semidirect
145. #19099193C22semidirect
148. #19099192C22semidirect
149. #19099192C22semidirect
153. #19099190C22semidirect
162. #19099175C22semidirect
163. #19099175C22semidirect
168. #19099172C22semidirect
169. #19099172C22semidirect
170. #19099172C22semidirect
171. #19099172C22semidirect
176. #19099171C22semidirect
177. #19099171C22semidirect
178. #19099171C22semidirect
179. #19099171C22semidirect
180. #19099170C22semidirect
181. #19099170C22semidirect
182. #19099170C22semidirect
183. #19099170C22semidirect
200. #19099119C22semidirect
219. #19099117C22semidirect
220. #19099117C22semidirect
222. #19099116C22semidirect
228. #19099115C22semidirect
229. #19099115C22semidirect
235. C2×#14579159C22semidirect
238. C4⋊Q8×D79C22semidirect
266. #19099040C22semidirect
269. #19099039C22semidirect
270. #19099039C22semidirect
282. #557×C79C22semidirect
283. #557×C79C22semidirect
284. #557×C79C22semidirect
285. #556×C79C22semidirect
286. #556×C79C22semidirect
290. D4×Q8×C79C22semidirect
291. #541×C79C22semidirect
292. #541×C79C22semidirect
297. #519×C79C22semidirect
1267. #3523D79semidirect
1286. C79#62837semidirect
1328. #557C2×D79semidirect
1329. #557C2×D79semidirect
1330. #557C2×D79semidirect
1348. #556C2×D79semidirect
1349. #556C2×D79semidirect
1402. D4×Q8C2×D79semidirect
1444. #541C2×D79semidirect
1445. #541C2×D79semidirect
1537. #519C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779982
#237779972
#237778922
#237778872
#237778812
#237778802
#237778132
#237778072
#237776462
#237776412
#237774962
#237774942
#237774922
#237774902
#237774882
#237772832
#237772822
#237772812
#237772802
#237772782
#237772612
#237772562
#237772172
#237772112
#237772072
#237772052
#237771472
#237771432
#237771402
#237766942
C2×#190991172
#533×D792
C79×#35232
#6283779