Finite Group Databasebeta

← #29496560

Subgroups — #29496560

Order 15104.

6624 conjugacy classes of subgroups.

The subgroup lattice has 2590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438772C214yesmaximal, complemented
2#21438764C214yesmaximal, complemented
3#21438745C212yesmaximal, complemented
4#21438741C212yesmaximal, complemented
5#21438688C212yesmaximal, complemented
6#21438684C212yesmaximal, complemented
7#21438586C211yesmaximal, characteristic, complemented
8#21438584C211yesmaximal, characteristic, complemented
9#21438569C211yesmaximal, characteristic, complemented
10#21438567C211yesmaximal, characteristic, complemented
11#21438487C211yesmaximal, characteristic, complemented
12#21438485C211yesmaximal, characteristic, complemented
13#21438470C211yesmaximal, characteristic, complemented
14#21438468C211yesmaximal, characteristic, complemented
15#21438371C212yesmaximal, complemented
16#21438364C212yesmaximal, complemented
17#21438356C212yesmaximal, complemented
18#21438352C212yesmaximal, complemented
19#21438234C214yesmaximal, complemented
20#21437722C211yesmaximal, characteristic, complemented
21#21437718C211yesmaximal, characteristic, complemented
22#21437711C211yesmaximal, characteristic, complemented
23#21437706C211yesmaximal, characteristic, complemented
24#21437689C212yesmaximal, complemented
25#21437687C212yesmaximal, complemented
26#21437660C212yesmaximal, complemented
27#21437652C212yesmaximal, complemented
28#21437527C212yesmaximal, complemented
29#21437523C212yesmaximal, complemented
30#21437512C212yesmaximal, complemented
31#21437510C212yesmaximal, complemented
32#21437479C214yesmaximal, complemented
33#21437392C211yesmaximal, characteristic, complemented
34#21437392C211yesmaximal, characteristic, complemented
35C59×#3444C211yesmaximal, characteristic, complemented
36#16838155C2214yescomplemented
37#16838153C2214yescomplemented
38#16838153C2214yescomplemented
39#16838149C2214yescomplemented
40#16838149C2214yescomplemented
41#16838148C2214yescomplemented
42#16838148C2214yescomplemented
43#16838147C2214yescomplemented
44#16838147C2214yescomplemented
45#16838145C2214yescomplemented
46#16838142C2214yes—
47#16838141C2214yescomplemented
48#16838141C2214yescomplemented
49#16838141C2214yescomplemented
50#16838140C2214yes—
51#16838140C2214yescomplemented
52#16838137C2211yescharacteristic, complemented
53#16838137C2212yescomplemented
54#16838136C2214yescomplemented
55#16838135C2214yescomplemented
56#16838134C2212yescomplemented
57Q8×Dic118C2211yescharacteristic, complemented
58#16838131C2211yescharacteristic, complemented
59#16838130C2211yescharacteristic, complemented
60#16838130C2212yescomplemented
61#16838129C2212yescomplemented
62#16838125C2211yescharacteristic, complemented
63#16838125C2212yescomplemented
64#16838124C2214yescomplemented
65#16838123C2212yescomplemented
66#16838122C2211yescharacteristic, complemented
67#16838122C2212yescomplemented
68#16838122C2212yescomplemented
69#16838121C2212yescomplemented
70#16838120C2212yescomplemented
71#16838119C2214yescomplemented
72#16838117C2212yes—
73#16838117C2211yescharacteristic, complemented
74#16838117C2212yescomplemented
75#16838116C2212yes—
76#16838115C2212yescomplemented
77#16838115C2214yescomplemented
78#16838112C2211yescharacteristic, complemented
79#16838112C2212yescomplemented
80#16838109C2211yescharacteristic, complemented
81#16838108C2212yescomplemented
82#16838105C2212yescomplemented
83#16838103C2214yescomplemented
84#16838102C2214yescomplemented
85#16838101C2214yescomplemented
86#16838101C2214yescomplemented
87#16838099C2212yescomplemented
88#16838098C2212yes—
89#16838098C2212yescomplemented
90#16838098C2212yescomplemented
91#16838097C2214yescomplemented
92#16838097C2214yescomplemented
93#16838096C2212yes—
94#16838093C2214yescomplemented
95#16838092C2212yescomplemented
96#16838092C2212yescomplemented
97#16838092C2212yescomplemented
98#16838091C2212yescomplemented
99#16838091C2214yescomplemented
100#16838090C2212yescomplemented
101#16838088C2214yescomplemented
102#16838086C2212yescomplemented
103#16838085C2214yescomplemented
104#16838081C2214yescomplemented
105#16838081C2214yescomplemented
106#16838080C2214yescomplemented
107#16838077C2214yescomplemented
108#16838076C2214yescomplemented
109#16838074C2211yescharacteristic, complemented
110#16838073C2212yes—
111#16838073C2211yescharacteristic, complemented
112#16838073C2212yescomplemented
113#16838071C2212yescomplemented
114#16838070C2212yes—
115Q8×D236C2211yescharacteristic, complemented
116D4×Dic118C2211yescharacteristic, complemented
117#16838062C2212yescomplemented
118#16838061C2212yes—
119#16838061C2212yescomplemented
120#16838061C2212yescomplemented
121#16838060C2212yescomplemented
122#16838059C2212yes—
123#16838057C2211yescharacteristic, complemented
124#16838057C2212yescomplemented
125#16838057C2212yescomplemented
126#16838056C2211yescharacteristic, complemented
127#16838054C2212yescomplemented
128#16838051C2212yescomplemented
129#16838049C2212yes—
130#16838048C2212yes—
131#16838048C2212yes—
132#16838048C2212yescomplemented
133#16838045C2212yescomplemented
134#16838040C2212yes—
135D4×D236C2211yescharacteristic, complemented
136#16838030C2212yescomplemented
137#16838030C2212yescomplemented
138#16838029C2212yescomplemented
139#16838029C2212yescomplemented
140#16838026C2212yescomplemented
141#16838026C2212yescomplemented
142#16838025C2212yescomplemented
143#16838024C2214yescomplemented
144#16838023C2212yes—
145#16838023C2212yescomplemented
146#16838023C2212yescomplemented
147#16838023C2212yescomplemented
148#16838022C2214yescomplemented
149#16838022C2214yescomplemented
150#16838020C2214yescomplemented
151#16838019C2212yes—
152#16838018C2214yescomplemented
153#16838017C2214yescomplemented
154#16838016C2214yescomplemented
155#16838016C2214yescomplemented
156#16838014C2212yescomplemented
157#16838014C2212yescomplemented
158#16838013C2212yescomplemented
159#16838012C2212yescomplemented
160#16838011C2214yescomplemented
161#16838011C2214yescomplemented
162#16838010C2214yescomplemented
163#16838009C2214yescomplemented
164#16838007C2212yescomplemented
165#16838007C2212yescomplemented
166#16838006C2212yescomplemented
167#16838005C2212yescomplemented
168#16838004C2214yescomplemented
169#16838003C2214yescomplemented
170#16838002C2214yescomplemented
171#16838002C2214yescomplemented
172#16838000C2214yescomplemented
173#16838000C2214yescomplemented
174#16837998C2214yescomplemented
175#16837998C2214yescomplemented
176#16837995C2214yescomplemented
177#16837994C2214yescomplemented
178#16837994C2214yescomplemented
179#16837993C2214yescomplemented
180#16837991C2214yescomplemented
181#16837988C2214yescomplemented
182#16837986C2214yescomplemented
183#16837986C2214yescomplemented
184#16837985C2214yescomplemented
185#16837985C2214yescomplemented
186#16837984C2214yescomplemented
187#16837984C2214yescomplemented
188#16837982C2212yes—
189#16837981C2212yescomplemented
190#16837980C2212yes—
191#16837980C2212yescomplemented
192#16837978C2212yescomplemented
193#16837977C2212yescomplemented
194#16837975C2212yescomplemented
195#16837973C2212yescomplemented
196#16837971C2212yescomplemented
197#16837968C2212yes—
198#16837966C2212yes—
199#16837965C2212yescomplemented
200#16837959C2211yescharacteristic, complemented
201#16837959C2211yescharacteristic, complemented
202#16837959C2211yescharacteristic, complemented
203#16837959C2212yescomplemented
204#16837959C2211yescharacteristic, complemented
205#16837959C2211yescharacteristic, complemented
206#16837959C2211yescharacteristic, complemented
207#16837956C2212yescomplemented
208#16837956C2214yescomplemented
209#16837952C2211yescharacteristic
210#16837952C2211yescharacteristic
211#16837952C2211yescharacteristic
212#16837952C2211yescharacteristic
213#16837952C2211yescharacteristic
214#16837952C2211yescharacteristic
215#16837952C2212yescomplemented
216#16837949C2214yescomplemented
217#16837949C2212yescomplemented
218#16837949C2214yescomplemented
219#16837948C2214yescomplemented
220#16837939C2212yescomplemented
221#16837939C2214yescomplemented
222#16837936C2211yescharacteristic
223#16837936C2211yescharacteristic
224#16837936C2212yescomplemented
225#16837936C2212yescomplemented
226#16837936C2211yescharacteristic, complemented
227#16837936C2212yescomplemented
228#16837936C2212yescomplemented
229#16837936C2212yescomplemented
230#16837936C2212yescomplemented
231#16837936C2212yescomplemented
232#16837936C2212yescomplemented
233#16837936C2212yescomplemented
234#16837936C2212yescomplemented
235#16837936C2212yescomplemented
236#16837936C2212yescomplemented
237#16837936C2211yescharacteristic, complemented
238#16837934C2214yescomplemented
239#16837934C2212yescomplemented
240#16837934C2214yescomplemented
241#16837932C2214yescomplemented
242#16837932C2214yescomplemented
243#16837932C2214yescomplemented
244#16837930C2214yescomplemented
245#16837930C2214yescomplemented
246#16837930C2214yescomplemented
247#16837930C2214yescomplemented
248#16837913C2211yescharacteristic
249#16837913C2212yescomplemented
250#16837913C2212yescomplemented
251#16837913C2212yescomplemented
252#16837913C2212yescomplemented
253#16837913C2211yescharacteristic, complemented
254#16837913C2212yescomplemented
255#16837911C2214yes—
256#16837911C2214yescomplemented
257#16837911C2214yescomplemented
258#16837909C2214yescomplemented
259C4×#11745689C2212yescomplemented
260C4×#11745685C2211yescharacteristic
261C4×#11745685C2211yescharacteristic, complemented
262C4×#11745685C2212yescomplemented
263C4×#11745685C2212yescomplemented
264C4×#11745685C2212yescomplemented
265C4×#11745685C2212yescomplemented
266C4×#11745685C2212yescomplemented
267C4×#11745685C2212yescomplemented
268C4×#11745685C2212yescomplemented
269#16837870C2214yescomplemented
270C4×#11745687C2212yescomplemented
271C2×C4×Dic118C2212yescomplemented
272C4×Q8×D59C2212yescomplemented
273C2×C4×D236C2212yescomplemented
274C4×D4×D59C2212yescomplemented
275#117×D59C2214yescomplemented
276C59×#533C2211yescharacteristic, complemented
277C59×#533C2211yescharacteristic, complemented
278C59×#533C2211yescharacteristic, complemented
279C59×#532C2211yescharacteristic
280C59×#532C2211yescharacteristic
281C59×#532C2211yescharacteristic
282C59×#529C2211yescharacteristic
283C59×#529C2211yescharacteristic
284C59×#529C2212yescomplemented
285C59×#529C2211yescharacteristic, complemented
286C59×#529C2212yescomplemented
287C59×#529C2212yescomplemented
288C59×#529C2212yescomplemented
289C59×#529C2211yescharacteristic, complemented
290C59×#525C2211yescharacteristic
291C59×#525C2212yescomplemented
292C59×#525C2211yescharacteristic, complemented
293C59×#525C2212yescomplemented
294C4×#41×C59C2211yescharacteristic
295C4×#41×C59C2211yescharacteristic, complemented
296C4×#41×C59C2212yescomplemented
297C4×#41×C59C2212yescomplemented
298C22×C42×C59C2211yescharacteristic, complemented
299C2×#11745689C2312yes—
300C2×#11745685C2312yes—
301C2×#11745685C2312yes—
302C2×#11745685C2314yes—
303C2×#11745685C2311yescharacteristic
304C2×#11745685C2312yes—
305C2×#11745685C2312yes—
306C2×#11745685C2312yes—
307C2×#11745685C2311yescharacteristic
308C2×#11745685C2312yes—
309C2×#11745685C2312yes—
310C2×#11745687C2312yes—
311C22×Dic118C2312yes—
312C2×Q8×D59C2312yes—
313C22×D236C2312yes—
314C2×D4×D59C2312yes—
315C22×C4×D59C2314yes—
316#14273727C2311yescharacteristic
317#14273727C2311yescharacteristic
318#14273727C2311yescharacteristic
319#14273727C2311yescharacteristic
320#14273727C2311yescharacteristic
321#14273727C2311yescharacteristic
322#14273727C2312yes—
323#14273727C2312yes—
324#14273727C2312yes—
325#14273726C2314yes—
326#14273726C2314yes—
327#14273726C2312yes—
328#14273726C2314yes—
329#14273726C2312yes—
330#14273725C2314yes—
331#14273725C2314yes—
332#14273725C2312yes—
333#14273724C2311yescharacteristic
334#14273724C2311yescharacteristic
335#14273724C2312yes—
336#14273723C2314yes—
337#14273723C2312yes—
338#14273723C2314yes—
339#14273723C2314yes—
340#14273722C2314yes—
341#14273722C2314yes—
342#14273722C2314yes—
343#14273722C2314yes—
344#14273722C2314yes—
345#14273722C2314yes—
346#14273722C2314yes—
347#14273722C2314yes—
348#14273722C2314yes—
349#14273722C2314yes—
350#14273721C2312yes—
351#14273721C2312yes—
352#14273721C2314yes—
353#14273721C2314yes—
354#14273721C2312yes—
355#14273721C2312yes—
356#14273721C2314yes—
357#14273721C2314yes—
358#14273720C2314yes—
359#14273720C2314yes—
360#14273720C2314yes—
361#14273720C2314yes—
362#14273720C2314yes—
363#14273720C2314yes—
364#14273720C2314yes—
365#14273720C2314yes—
366#14273720C2314yes—
367#14273720C2314yes—
368#14273720C2314yes—
369#14273720C2314yes—
370#14273719C2311yescharacteristic
371#14273719C2311yescharacteristic
372#14273719C2312yes—
373#14273719C2312yes—
374#14273719C2312yes—
375#14273719C2312yes—
376#14273719C2312yes—
377#14273719C2312yes—
378#14273719C2312yes—
379#14273719C2314yes—
380#14273718C2314yes—
381#14273718C2314yes—
382#14273718C2312yes—
383#14273718C2314yes—
384#14273718C2312yes—
385#14273717C2314yes—
386#14273717C2314yes—
387#14273717C2314yes—
388#14273717C2314yes—
389#14273717C2314yes—
390#14273717C2314yes—
391#14273717C2314yes—
392#14273717C2314yes—
393#14273717C2314yes—
394#14273717C2314yes—
395#14273716C2314yes—
396#14273716C2314yes—
397#14273716C2312yes—
398#14273715C2311yescharacteristic
399#14273715C2312yes—
400#14273715C2312yes—
401#14273715C2312yes—
402#14273715C2312yes—
403#14273715C2311yescharacteristic
404#14273715C2312yes—
405#14273715C2312yes—
406#14273715C2312yes—
407#14273715C2314yes—
408#14273714C2314yes—
409#14273714C2314yes—
410#14273714C2314yes—
411#14273714C2312yes—
412#14273713C2314yes—
413#14273713C2314yes—
414#14273713C2314yes—
415#14273713C2314yes—
416#14273713C2314yes—
417#14273713C2314yes—
418#14273713C2314yes—
419#14273713C2314yes—
420#14273713C2314yes—
421#14273713C2314yes—
422#14273713C2314yes—
423#14273713C2314yes—
424#14273712C2314yes—
425#14273712C2314yes—
426#14273712C2314yes—
427#14273712C2314yes—
428#14273712C2314yes—
429#14273712C2314yes—
430#14273712C2314yes—
431#14273712C2314yes—
432#14273712C2314yes—
433#14273712C2314yes—
434#14273711C2314yes—
435#14273711C2314yes—
436#14273711C2314yes—
437#14273710C2312yes—
438#14273710C2314yes—
439#14273710C2312yes—
440#14273710C2312yes—
441#14273710C2312yes—
442#14273710C2314yes—
443#14273710C2314yes—
444#14273710C2312yes—
445#14273710C2312yes—
446#14273710C2314yes—
447#14273710C2314yes—
448#14273709C2314yes—
449#14273709C2314yes—
450#14273709C2314yes—
451#14273709C2314yes—
452#14273709C2314yes—
453#14273709C2314yes—
454#14273709C2314yes—
455#14273709C2314yes—
456#14273709C2314yes—
457#14273709C2314yes—
458#14273709C2314yes—
459#14273709C2314yes—
460#14273708C2314yes—
461#14273708C2314yes—
462#14273708C2314yes—
463#14273708C2314yes—
464#14273708C2314yes—
465#14273707C2314yes—
466#14273707C2314yes—
467#14273707C2312yes—
468#14273707C2312yes—
469#14273707C2314yes—
470#14273706C2312yes—
471#14273706C2312yes—
472#14273706C2312yes—
473#14273706C2312yes—
474#14273706C2311yescharacteristic
475#14273706C2311yescharacteristic
476#14273706C2311yescharacteristic
477#14273706C2311yescharacteristic
478#14273706C2312yes—
479#14273706C2312yes—
480#14273706C2312yes—
481#14273706C2312yes—
482#14273706C2312yes—
483#14273706C2312yes—
484#14273706C2312yes—
485#14273706C2312yes—
486#14273706C2312yes—
487#14273706C2312yes—
488#14273706C2314yes—
489#14273705C2314yes—
490#14273705C2314yes—
491#14273705C2314yes—
492#14273705C2314yes—
493#14273705C2314yes—
494#14273705C2314yes—
495#14273705C2314yes—
496#14273705C2314yes—
497#14273705C2314yes—
498#14273705C2314yes—
499#14273704C2314yes—
500#14273704C2314yes—
501#14273704C2314yes—
502#14273704C2314yes—
503#14273704C2314yes—
504#14273704C2314yes—
505#14273703C2314yes—
506#14273703C2314yes—
507#14273703C2312yes—
508#14273703C2314yes—
509#14273703C2314yes—
510#14273703C2312yes—
511#14273702C2314yes—
512#14273702C2314yes—
513#14273702C2314yes—
514#14273702C2312yes—
515#14273702C2312yes—
516#14273701C2312yes—
517#14273701C2312yes—
518#14273701C2312yes—
519#14273701C2312yes—
520#14273701C2311yescharacteristic
521#14273701C2311yescharacteristic
522#14273701C2312yes—
523#14273701C2312yes—
524#14273701C2311yescharacteristic
525#14273701C2312yes—
526#14273701C2312yes—
527#14273701C2312yes—
528#14273701C2312yes—
529#14273701C2311yescharacteristic
530#14273701C2312yes—
531#14273701C2312yes—
532#14273701C2312yes—
533#14273701C2312yes—
534#14273701C2314yes—
535#14273700C2314yes—
536#14273700C2314yes—
537#14273700C2314yes—
538#14273700C2314yes—
539#14273700C2314yes—
540#14273700C2314yes—
541#14273700C2314yes—
542#14273700C2314yes—
543#14273700C2314yes—
544#14273700C2314yes—
545#14273700C2314yes—
546#14273700C2314yes—
547#14273699C2314yes—
548#14273699C2314yes—
549#14273699C2314yes—
550#14273699C2314yes—
551#14273699C2314yes—
552#14273699C2314yes—
553#14273699C2314yes—
554#14273699C2314yes—
555#14273699C2314yes—
556#14273699C2314yes—
557#14273698C2314yes—
558#14273698C2314yes—
559#14273698C2314yes—
560#14273698C2314yes—
561#14273698C2312yes—
562#14273698C2314yes—
563#14273698C2314yes—
564#14273698C2312yes—
565#14273697C2314yes—
566#14273697C2314yes—
567#14273697C2314yes—
568#14273696C2312yes—
569#14273696C2314yes—
570#14273696C2312yes—
571#14273695C2314yes—
572#14273695C2314yes—
573#14273695C2314yes—
574#14273695C2314yes—
575#14273695C2314yes—
576Q8×Dic59C2312yes—
577Q8×Dic59C2312yes—
578C4×Dic118C2314yes—
579C4×Dic118C2314yes—
580C4×Dic118C2312yes—
581C4×Dic118C2312yes—
582C4×Dic118C2311yescharacteristic
583C4×Dic118C2311yescharacteristic
584C4×Dic118C2311yescharacteristic
585C4×Dic118C2312yes—
586C4×Dic118C2312yes—
587C4×Dic118C2312yes—
588C4×Dic118C2312yes—
589C4×Dic118C2312yes—
590C4×Dic118C2312yes—
591C4×Dic118C2311yescharacteristic
592C4×Dic118C2312yes—
593C4×Dic118C2312yes—
594C4×Dic118C2314yes—
595C4×Dic118C2312yes—
596C4×Dic118C2312yes—
597C4×Dic118C2312yes—
598C4×Dic118C2312yes—
599#14273692C2314yes—
600#14273692C2314yes—
601#14273692C2314yes—
602#14273692C2312yes—
603#14273692C2312yes—
604C4×D236C2314yes—
605C4×D236C2312yes—
606C4×D236C2314yes—
607C4×D236C2311yescharacteristic
608C4×D236C2311yescharacteristic
609C4×D236C2312yes—
610C4×D236C2312yes—
611C4×D236C2311yescharacteristic
612C4×D236C2312yes—
613C4×D236C2312yes—
614C4×D236C2312yes—
615C4×D236C2312yes—
616C4×D236C2312yes—
617C4×D236C2312yes—
618C4×D236C2311yescharacteristic
619C4×D236C2312yes—
620C4×D236C2314yes—
621C4×D236C2312yes—
622C4×D236C2312yes—
623C4×D236C2312yes—
624C4×D236C2312yes—
625D4×Dic59C2312yes—
626D4×Dic59C2312yes—
627#14273689C2314yes—
628#14273689C2314yes—
629#14273689C2314yes—
630#14273689C2312yes—
631#14273689C2312yes—
632C4×C22⋊D59C2312yes—
633C4×C22⋊D59C2314yes—
634C4×C22⋊D59C2314yes—
635C4×C22⋊D59C2314yes—
636C4×C22⋊D59C2312yes—
637C4×C22⋊D59C2314yes—
638C4×C22⋊D59C2314yes—
639C4×C22⋊D59C2314yes—
640C4×C22⋊D59C2312yes—
641C4×C22⋊D59C2312yes—
642C4×C22⋊D59C2312yes—
643C4×C22⋊D59C2312yes—
644C4×C22⋊D59C2312yes—
645C4×C22⋊D59C2314yes—
646C4×C22⋊D59C2314yes—
647C4×C22⋊D59C2312yes—
648C4×C22⋊D59C2312yes—
649C4×C22⋊D59C2312yes—
650C4×C22⋊D59C2312yes—
651C4×C22⋊D59C2314yes—
652C4×C22⋊D59C2314yes—
653C4×C22⋊D59C2312yes—
654C4×C22⋊D59C2314yes—
655C4×C22⋊D59C2314yes—
656(C22⋊D59)⋊C4C2314yes—
657(C22⋊D59)⋊C4C2314yes—
658(C22⋊D59)⋊C4C2314yes—
659(C22⋊D59)⋊C4C2314yes—
660(C22⋊D59)⋊C4C2314yes—
661(C22⋊D59)⋊C4C2314yes—
662#14273686C2314yes—
663#14273686C2311yescharacteristic
664#14273686C2312yes—
665#14273686C2312yes—
666#14273686C2312yes—
667#14273686C2312yes—
668#14273686C2311yescharacteristic
669#14273686C2312yes—
670#14273686C2312yes—
671#14273686C2312yes—
672#14273685C2312yes—
673#14273685C2312yes—
674#14273685C2314yes—
675#14273685C2314yes—
676#14273685C2314yes—
677#14273684C2314yes—
678#14273684C2314yes—
679#14273684C2314yes—
680#14273684C2312yes—
681#14273684C2312yes—
682#14273684C2312yes—
683#14273684C2312yes—
684#14273684C2312yes—
685#14273684C2314yes—
686#14273684C2314yes—
687#14273684C2312yes—
688#14273684C2314yes—
689#14273684C2314yes—
690#14273683C2314yes—
691#14273683C2314yes—
692#14273683C2314yes—
693C2×C4⋊Dic59C2312yes—
694C2×C4⋊Dic59C2312yes—
695C2×Dic59⋊C4C2314yes—
696C4⋊C4×D59C2312yes—
697C4⋊C4×D59C2312yes—
698C4⋊C4×D59C2314yes—
699C4⋊C4×D59C2314yes—
700C4⋊C4×D59C2314yes—
701C2×(C2×D59)⋊C4C2314yes—
702C22⋊C4×D59C2314yes—
703C22⋊C4×D59C2314yes—
704C22⋊C4×D59C2314yes—
705C2×C4×Dic59C2314yes—
706C42×D59C2314yes—
707C42×D59C2314yes—
708C42×D59C2314yes—
709C42×D59C2312yes—
710C42×D59C2312yes—
711C2×#41×C59C2312yes—
712C2×#41×C59C2312yes—
713C2×#41×C59C2311yescharacteristic
714C2×#41×C59C2311yescharacteristic
715C23×C4×C59C2311yescharacteristic
716C23×C4×C59C2311yescharacteristic
717C23×C4×C59C2311yescharacteristic
718C4⋊Q8×C59C2311yescharacteristic
719C4⋊Q8×C59C2311yescharacteristic
720C4⋊Q8×C59C2311yescharacteristic
721#127×C59C2311yescharacteristic
722#126×C59C2312yes—
723#126×C59C2312yes—
724#126×C59C2312yes—
725#126×C59C2312yes—
726#125×C59C2312yes—
727#125×C59C2312yes—
728#125×C59C2311yescharacteristic
729#125×C59C2311yescharacteristic
730#124×C59C2312yes—
731#124×C59C2312yes—
732#124×C59C2311yescharacteristic
733#124×C59C2311yescharacteristic
734#123×C59C2312yes—
735#123×C59C2312yes—
736#123×C59C2312yes—
737#123×C59C2312yes—
738#123×C59C2312yes—
739#123×C59C2312yes—
740C22⋊Q8×C59C2312yes—
741C22⋊Q8×C59C2312yes—
742C22⋊Q8×C59C2311yescharacteristic
743C22⋊Q8×C59C2311yescharacteristic
744C22⋊Q8×C59C2312yes—
745C22⋊Q8×C59C2312yes—
746C22⋊Q8×C59C2311yescharacteristic
747C22⋊Q8×C59C2311yescharacteristic
748#121×C59C2312yes—
749#121×C59C2312yes—
750#121×C59C2311yescharacteristic
751#121×C59C2311yescharacteristic
752#121×C59C2312yes—
753#121×C59C2312yes—
754#121×C59C2311yescharacteristic
755#121×C59C2311yescharacteristic
756#120×C59C2312yes—
757#120×C59C2312yes—
758C4×Q8×C59C2312yes—
759C4×Q8×C59C2311yescharacteristic
760C4×Q8×C59C2311yescharacteristic
761C4×Q8×C59C2312yes—
762C4×Q8×C59C2311yescharacteristic
763C4×Q8×C59C2311yescharacteristic
764C4×Q8×C59C2312yes—
765C4×Q8×C59C2312yes—
766C4×D4×C59C2312yes—
767C4×D4×C59C2312yes—
768C4×D4×C59C2312yes—
769C4×D4×C59C2312yes—
770C4×D4×C59C2312yes—
771C4×D4×C59C2311yescharacteristic
772C4×D4×C59C2311yescharacteristic
773C4×D4×C59C2312yes—
774C4×D4×C59C2312yes—
775C4×D4×C59C2312yes—
776C4×D4×C59C2311yescharacteristic
777C4×D4×C59C2312yes—
778C4×D4×C59C2312yes—
779C4×D4×C59C2312yes—
780C4×D4×C59C2311yescharacteristic
781C4×D4×C59C2312yes—
782C4×D4×C59C2312yes—
783C4×D4×C59C2312yes—
784C4×D4×C59C2312yes—
785C4×D4×C59C2312yes—
786#117×C59C2312yes—
787#117×C59C2312yes—
788#117×C59C2312yes—
789#117×C59C2312yes—
790#117×C59C2312yes—
791#117×C59C2312yes—
792#117×C59C2312yes—
793#117×C59C2311yescharacteristic
794#117×C59C2311yescharacteristic
795#117×C59C2312yes—
796C2×C42×C59C2311yescharacteristic
797C2×C42×C59C2311yescharacteristic
798C2×C42×C59C2311yescharacteristic
799C2×C42×C59C2311yescharacteristic
800C2×C42×C59C2311yescharacteristic
801C2×C42×C59C2311yescharacteristic
802C2×C42×C59C2311yescharacteristic
803C2×C42×C59C2311yescharacteristic
804C2×C42×C59C2311yescharacteristic
805C2×C42×C59C2312yes—
806C2×C42×C59C2312yes—
807C2×C42×C59C2311yescharacteristic
808C2×C42×C59C2311yescharacteristic
809C2×C42×C59C2311yescharacteristic
810C24×C59C2411yescharacteristic
811C23×D59C2414yes—
812#41×C59—44no—
813#41×C59—44no—
814#41×C59—42no—
815#41×C59—42no—
816C2×Q8×C59C2411yescharacteristic
817C2×Q8×C59C2411yescharacteristic
818C2×Q8×C59C2412yes—
819C2×Q8×C59C2412yes—
820C2×D4×C59C2411yescharacteristic
821C2×D4×C59C2411yescharacteristic
822C2×D4×C59C2412yes—
823C2×D4×C59C2412yes—
824C2×D4×C59C2412yes—
825C2×D4×C59C2412yes—
826C2×D4×C59C2412yes—
827C2×D4×C59C2412yes—
828C2×D4×C59C2412yes—
829C2×D4×C59C2412yes—
830C22×C4×C59—42no—
831C22×C4×C59—42no—
832C22×C4×C59—42no—
833C22×C4×C59C2411yescharacteristic
834C22×C4×C59C2411yescharacteristic
835C22×C4×C59C2411yescharacteristic
836C22×C4×C59C2411yescharacteristic
837C22×C4×C59C2411yescharacteristic
838C22×C4×C59C2411yescharacteristic
839C22×C4×C59C2411yescharacteristic
840C22×C4×C59C2411yescharacteristic
841C22×C4×C59C2411yescharacteristic
842C22×C4×C59C2412yes—
843C22×C4×C59C2412yes—
844C22×C4×C59C2412yes—
845C22×C4×C59C2412yes—
846C22×C4×C59C2411yescharacteristic
847C22×C4×C59C2411yescharacteristic
848C22×C4×C59C2411yescharacteristic
849C22×C4×C59C2411yescharacteristic
850C22×C4×C59C2411yescharacteristic
851C22×C4×C59C2411yescharacteristic
852C22×C4×C59C2411yescharacteristic
853C22×C4×C59C2411yescharacteristic
854C22×C4×C59C2411yescharacteristic
855C22×C4×C59C2412yes—
856C22×C4×C59C2412yes—
857C2×C22⋊D59C2414yes—
858C2×C22⋊D59C2414yes—
859C2×C22⋊D59C2414yes—
860C2×C22⋊D59C2414yes—
861C2×C22⋊D59C2412yes—
862C2×C22⋊D59C2412yes—
863C2×C22⋊D59C2412yes—
864C2×C22⋊D59C2414yes—
865C2×C22⋊D59C2414yes—
866C2×C22⋊D59C2414yes—
867C2×C22⋊D59C2414yes—
868C2×C22⋊D59C2412yes—
869C2×C22⋊D59C2412yes—
870C2×C22⋊D59C2412yes—
871C2×C22⋊D59C2414yes—
872C22×Dic59C2414yes—
873C22×Dic59C2414yes—
874C22×Dic59C2414yes—
875#11745689—44no—
876Q8×D59—44no—
877#11745687—44no—
878D4×D59—44no—
879#11745685—42no—
880#11745685—44no—
881#11745685—44no—
882#11745685—44no—
883#11745685—42no—
884#11745685—44no—
885#11745685—44no—
886#11745685—44no—
887#11745685—48no—
888#11745685—44no—
889C2×D236—44no—
890C2×D236C2412yes—
891C2×D236C2411yescharacteristic
892C2×D236C2412yes—
893C2×D236C2411yescharacteristic
894C2×D236C2414yes—
895C2×D236C2414yes—
896C2×D236C2412yes—
897C2×D236C2412yes—
898C2×D236C2412yes—
899C2×D236C2414yes—
900C2×C4×D59—48no—
901C2×C4×D59C2412yes—
902C2×C4×D59C2414yes—
903C2×C4×D59C2412yes—
904C2×C4×D59C2412yes—
905C2×C4×D59C2412yes—
906C2×C4×D59C2412yes—
907C2×C4×D59C2414yes—
908C2×C4×D59C2414yes—
909C2×C4×D59C2414yes—
910C2×C4×D59C2414yes—
911C2×C4×D59C2414yes—
912C2×C4×D59C2412yes—
913C2×C4×D59C2414yes—
914C2×C4×D59C2414yes—
915C2×C4×D59C2414yes—
916C2×Dic118—44no—
917C2×Dic118C2412yes—
918C2×Dic118C2411yescharacteristic
919C2×Dic118C2412yes—
920C2×Dic118C2411yescharacteristic
921C2×Dic118C2414yes—
922C2×Dic118C2414yes—
923C2×Dic118C2412yes—
924C2×Dic118C2412yes—
925C2×Dic118C2412yes—
926C2×Dic118C2414yes—
927C4⋊C4×C59C2411yescharacteristic
928C4⋊C4×C59C2411yescharacteristic
929C4⋊C4×C59C2411yescharacteristic
930C4⋊C4×C59C2411yescharacteristic
931C4⋊C4×C59C2412yes—
932C4⋊C4×C59C2412yes—
933C4⋊C4×C59C2412yes—
934C4⋊C4×C59C2412yes—
935C4⋊C4×C59C2412yes—
936C4⋊C4×C59C2412yes—
937C4⋊C4×C59C2412yes—
938C4⋊C4×C59C2412yes—
939C4⋊C4×C59C2412yes—
940C4⋊C4×C59C2412yes—
941C4⋊C4×C59C2412yes—
942C4⋊C4×C59C2412yes—
943C4⋊C4×C59C2412yes—
944C4⋊C4×C59C2412yes—
945C4⋊C4×C59C2412yes—
946C4⋊C4×C59C2412yes—
947C22⋊C4×C59C2412yes—
948C22⋊C4×C59C2412yes—
949C22⋊C4×C59C2412yes—
950C22⋊C4×C59C2412yes—
951C22⋊C4×C59C2412yes—
952C22⋊C4×C59C2412yes—
953C22⋊C4×C59C2412yes—
954C22⋊C4×C59C2412yes—
955C22⋊C4×C59C2412yes—
956C22⋊C4×C59C2412yes—
957C22⋊C4×C59C2412yes—
958C22⋊C4×C59C2412yes—
959C22⋊C4×C59C2412yes—
960C22⋊C4×C59C2412yes—
961C22⋊C4×C59C2412yes—
962C22⋊C4×C59C2412yes—
963C22⋊C4×C59C2412yes—
964C22⋊C4×C59C2412yes—
965C42×C59C2411yescharacteristic
966C42×C59C2411yescharacteristic
967C42×C59C2411yescharacteristic
968C42×C59C2411yescharacteristic
969C42×C59C2411yescharacteristic
970C42×C59C2411yescharacteristic
971C42×C59C2411yescharacteristic
972C42×C59C2411yescharacteristic
973C42×C59C2411yescharacteristic
974C42×C59C2411yescharacteristic
975C42×C59C2411yescharacteristic
976C42×C59C2411yescharacteristic
977C42×C59C2411yescharacteristic
978C42×C59C2411yescharacteristic
979C42×C59C2411yescharacteristic
980C42×C59C2411yescharacteristic
981C42×C59C2412yes—
982C42×C59C2412yes—
983C42×C59C2412yes—
984C42×C59C2412yes—
985C42×C59C2412yes—
986C42×C59C2412yes—
987C22⋊Dic59C2414yes—
988C22⋊Dic59C2414yes—
989C22⋊Dic59C2414yes—
990C22⋊Dic59C2414yes—
991C22⋊Dic59C2414yes—
992C22⋊Dic59C2412yes—
993C22⋊Dic59C2412yes—
994C22⋊Dic59C2412yes—
995C22⋊Dic59C2414yes—
996C22⋊Dic59C2414yes—
997C22⋊Dic59C2414yes—
998C22⋊Dic59C2412yes—
999C22⋊Dic59C2412yes—
1000C22⋊Dic59C2412yes—
1001C22⋊Dic59C2414yes—
1002(C2×D59)⋊C4C2412yes—
1003(C2×D59)⋊C4C2412yes—
1004(C2×D59)⋊C4C2414yes—
1005(C2×D59)⋊C4C2414yes—
1006(C2×D59)⋊C4C2414yes—
1007(C2×D59)⋊C4C2414yes—
1008(C2×D59)⋊C4C2412yes—
1009(C2×D59)⋊C4C2414yes—
1010(C2×D59)⋊C4C2414yes—
1011(C2×D59)⋊C4C2414yes—
1012(C2×D59)⋊C4C2412yes—
1013(C2×D59)⋊C4C2412yes—
1014(C2×D59)⋊C4C2412yes—
1015(C2×D59)⋊C4C2414yes—
1016(C2×D59)⋊C4C2414yes—
1017(C2×D59)⋊C4C2412yes—
1018(C2×D59)⋊C4C2412yes—
1019(C2×D59)⋊C4C2414yes—
1020(C2×D59)⋊C4C2414yes—
1021(C2×D59)⋊C4C2414yes—
1022(C2×D59)⋊C4C2412yes—
1023(C2×D59)⋊C4C2414yes—
1024(C2×D59)⋊C4C2414yes—
1025(C2×D59)⋊C4C2412yes—
1026(C2×D59)⋊C4C2412yes—
1027(C2×D59)⋊C4C2414yes—
1028(C2×D59)⋊C4C2412yes—
1029(C2×D59)⋊C4C2414yes—
1030(C2×D59)⋊C4C2414yes—
1031(C2×D59)⋊C4C2414yes—
1032C4⋊Dic59C2412yes—
1033C4⋊Dic59C2412yes—
1034C4⋊Dic59C2414yes—
1035C4⋊Dic59C2414yes—
1036C4⋊Dic59C2414yes—
1037C4⋊Dic59C2411yescharacteristic
1038C4⋊Dic59C2411yescharacteristic
1039C4⋊Dic59C2412yes—
1040C4⋊Dic59C2412yes—
1041C4⋊Dic59C2414yes—
1042C4⋊Dic59C2414yes—
1043C4⋊Dic59C2414yes—
1044C4⋊Dic59C2411yescharacteristic
1045C4⋊Dic59C2411yescharacteristic
1046C4⋊Dic59C2412yes—
1047C4⋊Dic59C2412yes—
1048C4⋊Dic59C2412yes—
1049C4⋊Dic59C2412yes—
1050C4⋊Dic59C2412yes—
1051C4⋊Dic59C2412yes—
1052Dic59⋊C4C2412yes—
1053Dic59⋊C4C2412yes—
1054Dic59⋊C4C2414yes—
1055Dic59⋊C4C2414yes—
1056Dic59⋊C4C2414yes—
1057Dic59⋊C4C2414yes—
1058Dic59⋊C4C2414yes—
1059Dic59⋊C4C2414yes—
1060Dic59⋊C4C2412yes—
1061Dic59⋊C4C2414yes—
1062Dic59⋊C4C2414yes—
1063Dic59⋊C4C2414yes—
1064Dic59⋊C4C2414yes—
1065Dic59⋊C4C2412yes—
1066Dic59⋊C4C2412yes—
1067Dic59⋊C4C2412yes—
1068Dic59⋊C4C2414yes—
1069Dic59⋊C4C2414yes—
1070Dic59⋊C4C2412yes—
1071Dic59⋊C4C2412yes—
1072Dic59⋊C4C2414yes—
1073Dic59⋊C4C2414yes—
1074Dic59⋊C4C2414yes—
1075Dic59⋊C4C2414yes—
1076Dic59⋊C4C2412yes—
1077Dic59⋊C4C2414yes—
1078Dic59⋊C4C2414yes—
1079Dic59⋊C4C2412yes—
1080Dic59⋊C4C2412yes—
1081Dic59⋊C4C2412yes—
1082C4×Dic59C2412yes—
1083C4×Dic59C2414yes—
1084C4×Dic59C2412yes—
1085C4×Dic59C2412yes—
1086C4×Dic59C2414yes—
1087C4×Dic59C2414yes—
1088C4×Dic59C2414yes—
1089C4×Dic59C2414yes—
1090C4×Dic59C2412yes—
1091C4×Dic59C2414yes—
1092C4×Dic59C2412yes—
1093C4×Dic59C2412yes—
1094C4×Dic59C2414yes—
1095C4×Dic59C2414yes—
1096C4×Dic59C2414yes—
1097C23×C59—41no—
1098C23×C59—41no—
1099C23×C59—41no—
1100C23×C59C2512yes—
1101C23×C59C2511yescharacteristic
1102C23×C59C2511yescharacteristic
1103C23×C59C2511yescharacteristic
1104C23×C59C2512yes—
1105C22×D59—44no—
1106C22×D59—44no—
1107C22×D59—44no—
1108C22×D59C2512yes—
1109C22×D59C2514yes—
1110C22×D59C2512yes—
1111Q8×C59—22no—
1112Q8×C59—22no—
1113Q8×C59—42no—
1114Q8×C59—42no—
1115D4×C59—22no—
1116D4×C59—22no—
1117D4×C59—42no—
1118D4×C59—42no—
1119D4×C59—42no—
1120D4×C59—42no—
1121D4×C59—42no—
1122D4×C59—42no—
1123D4×C59—42no—
1124D4×C59—42no—
1125C2×C4×C59—24no—
1126C2×C4×C59—24no—
1127C2×C4×C59—24no—
1128C2×C4×C59—22no—
1129C2×C4×C59—22no—
1130C2×C4×C59—22no—
1131C2×C4×C59—22no—
1132C2×C4×C59—22no—
1133C2×C4×C59—22no—
1134C2×C4×C59—24no—
1135C2×C4×C59—22no—
1136C2×C4×C59—22no—
1137C2×C4×C59—22no—
1138C2×C4×C59—41no—
1139C2×C4×C59—41no—
1140C2×C4×C59—41no—
1141C2×C4×C59—41no—
1142C2×C4×C59—41no—
1143C2×C4×C59—41no—
1144C2×C4×C59—41no—
1145C2×C4×C59—41no—
1146C2×C4×C59—41no—
1147C2×C4×C59—42no—
1148C2×C4×C59—42no—
1149C2×C4×C59C2511yescharacteristic
1150C2×C4×C59C2511yescharacteristic
1151C2×C4×C59C2511yescharacteristic
1152C2×C4×C59C2512yes—
1153C2×C4×C59C2512yes—
1154C2×C4×C59C2512yes—
1155C2×C4×C59C2512yes—
1156C2×C4×C59C2512yes—
1157C2×C4×C59C2511yescharacteristic
1158C2×C4×C59C2511yescharacteristic
1159C2×C4×C59C2511yescharacteristic
1160C2×C4×C59C2511yescharacteristic
1161C2×C4×C59C2511yescharacteristic
1162C2×C4×C59C2511yescharacteristic
1163C2×C4×C59C2512yes—
1164C2×C4×C59C2511yescharacteristic
1165C2×C4×C59C2511yescharacteristic
1166C2×C4×C59C2511yescharacteristic
1167C22⋊D59—42no—
1168C22⋊D59—44no—
1169C22⋊D59—44no—
1170C22⋊D59—44no—
1171C22⋊D59—42no—
1172C22⋊D59—44no—
1173C22⋊D59—42no—
1174C22⋊D59—42no—
1175C22⋊D59—44no—
1176C22⋊D59—44no—
1177C22⋊D59—44no—
1178C22⋊D59—42no—
1179C22⋊D59—42no—
1180C22⋊D59—44no—
1181C22⋊D59—44no—
1182C2×Dic59—44no—
1183C2×Dic59—44no—
1184C2×Dic59—44no—
1185C2×Dic59C2512yes—
1186C2×Dic59C2512yes—
1187C2×Dic59C2512yes—
1188C2×Dic59C2514yes—
1189C2×Dic59C2514yes—
1190C2×Dic59C2514yes—
1191C2×Dic59C2512yes—
1192C2×Dic59C2512yes—
1193C2×Dic59C2512yes—
1194D236—22no—
1195D236—24no—
1196D236—22no—
1197D236—24no—
1198D236—44no—
1199D236—42no—
1200D236—42no—
1201D236—42no—
1202D236—44no—
1203D236—44no—
1204C4×D59—24no—
1205C4×D59—28no—
1206C4×D59—24no—
1207C4×D59—24no—
1208C4×D59—24no—
1209C4×D59—44no—
1210C4×D59—44no—
1211C4×D59—42no—
1212C4×D59—44no—
1213C4×D59—44no—
1214C4×D59—44no—
1215C4×D59—44no—
1216C4×D59—42no—
1217C4×D59—44no—
1218C4×D59—44no—
1219Dic118—22no—
1220Dic118—24no—
1221Dic118—22no—
1222Dic118—24no—
1223Dic118—44no—
1224Dic118—42no—
1225Dic118—44no—
1226Dic118—42no—
1227Dic118—42no—
1228Dic118—44no—
1229#62762—591nomaximal, Sylow
1230C22×C59—22no—
1231C22×C59—22no—
1232C22×C59—22no—
1233C22×C59—21no—
1234C22×C59—21no—
1235C22×C59—21no—
1236C22×C59—21no—
1237C22×C59—21no—
1238C22×C59—21no—
1239C22×C59—22no—
1240C22×C59—22no—
1241C22×C59—22no—
1242C22×C59—21no—
1243C22×C59—21no—
1244C22×C59—21no—
1245C22×C59—44no—
1246C22×C59C2611yescharacteristic
1247C2×D59—22no—
1248C2×D59—22no—
1249C2×D59—24no—
1250C2×D59—22no—
1251C2×D59—22no—
1252C2×D59—22no—
1253C2×D59—24no—
1254C2×D59—24no—
1255C2×D59—22no—
1256C2×D59—88no—
1257C4×C59—22no—
1258C4×C59—22no—
1259C4×C59—21no—
1260C4×C59—21no—
1261C4×C59—21no—
1262C4×C59—22no—
1263C4×C59—21no—
1264C4×C59—21no—
1265C4×C59—21no—
1266C4×C59—22no—
1267C4×C59—22no—
1268C4×C59—22no—
1269C4×C59—21no—
1270C4×C59—21no—
1271C4×C59—21no—
1272C4×C59#58512yes—
1273C4×C59#58512yes—
1274C4×C59#58512yes—
1275Dic59—22no—
1276Dic59—24no—
1277Dic59—24no—
1278Dic59—22no—
1279Dic59—22no—
1280Dic59—22no—
1281Dic59—24no—
1282Dic59—22no—
1283Dic59—22no—
1284#3566—594no—
1285#3566—594no—
1286#3565—592no—
1287#3565—592no—
1288#3562—592no—
1289#3562—592no—
1290#3555—591no—
1291#3555—591no—
1292#3554—591no—
1293#3554—591no—
1294#3547—591no—
1295#3547—591no—
1296#3546—591no—
1297#3546—591no—
1298#3540—592no—
1299#3540—592no—
1300#3539—592no—
1301#3539—592no—
1302#3529—594no—
1303#3483—591no—
1304#3482—591no—
1305#3482—591no—
1306#3481—591no—
1307#3480—592no—
1308#3480—592no—
1309#3475—592no—
1310#3475—592no—
1311#3461—592no—
1312#3461—592no—
1313#3460—592no—
1314#3460—592no—
1315#3455—594no—
1316#3444—591no—
1317#3444—591no—
1318#3444D5911yescharacteristic, complemented
1319C2×C59—42no—
1320C2×C59—42no—
1321C2×C59—41no—
1322C2×C59—41no—
1323C2×C59—41no—
1324C2×C59C2×#58511yescharacteristic
1325C2×C59C2×#58511yescharacteristic
1326C2×C59C2×#58511yescharacteristic
1327D59—42no—
1328D59—44no—
1329D59—42no—
1330#563—594no—
1331#563—594no—
1332#563—594no—
1333#562—594no—
1334#562—594no—
1335#562—594no—
1336#562—594no—
1337#562—594no—
1338#562—594no—
1339H(3,𝔽4)—594no—
1340#560—594no—
1341#560—594no—
1342#560—594no—
1343#560—594no—
1344#560—594no—
1345#560—594no—
1346#559—592no—
1347#559—594no—
1348#559—592no—
1349#559—591no—
1350#559—594no—
1351Q82—591no—
1352#557—592no—
1353#557—592no—
1354#557—591no—
1355#557—591no—
1356#556—594no—
1357#556—592no—
1358#556—592no—
1359#556—592no—
1360#556—594no—
1361#556—591no—
1362#556—592no—
1363#556—592no—
1364#556—591no—
1365#556—592no—
1366#555—592no—
1367#555—592no—
1368#555—592no—
1369#555—591no—
1370#555—592no—
1371#555—594no—
1372#554—592no—
1373#554—592no—
1374#554—591no—
1375#554—591no—
1376#553—594no—
1377#553—592no—
1378#553—594no—
1379#553—594no—
1380#553—592no—
1381#553—594no—
1382#553—592no—
1383#553—592no—
1384#553—594no—
1385#553—594no—
1386#553—592no—
1387#553—592no—
1388#552—594no—
1389#552—592no—
1390#552—592no—
1391#552—594no—
1392#552—592no—
1393#552—592no—
1394#552—592no—
1395#552—594no—
1396#552—592no—
1397#552—594no—
1398#551—594no—
1399#551—594no—
1400#551—594no—
1401#551—594no—
1402#551—594no—
1403#550—592no—
1404#550—592no—
1405#550—591no—
1406#550—592no—
1407#550—592no—
1408#550—591no—
1409D4×Q8—591no—
1410D4×Q8—591no—
1411#548—592no—
1412#548—592no—
1413#548—592no—
1414#548—592no—
1415#548—592no—
1416#548—592no—
1417#547—592no—
1418#547—592no—
1419#547—592no—
1420#547—591no—
1421#547—592no—
1422#547—591no—
1423#546—592no—
1424#546—592no—
1425#546—592no—
1426#546—592no—
1427#546—592no—
1428#546—592no—
1429D42—591no—
1430#544—592no—
1431#544—592no—
1432#544—592no—
1433#544—592no—
1434#542—592no—
1435#542—592no—
1436#542—594no—
1437#542—594no—
1438#542—594no—
1439#542—594no—
1440#542—594no—
1441#542—594no—
1442#542—592no—
1443#542—592no—
1444#542—594no—
1445#542—594no—
1446#542—592no—
1447#542—592no—
1448#542—592no—
1449#542—592no—
1450#541—592no—
1451#541—594no—
1452#541—594no—
1453#541—594no—
1454#541—592no—
1455#541—594no—
1456#541—592no—
1457#541—592no—
1458#540—592no—
1459#540—594no—
1460#540—594no—
1461#540—594no—
1462#540—592no—
1463#540—594no—
1464#540—592no—
1465#540—592no—
1466#539—594no—
1467#539—594no—
1468#539—594no—
1469#539—594no—
1470#539—594no—
1471#539—594no—
1472#539—594no—
1473#539—594no—
1474#538—594no—
1475#538—594no—
1476#538—594no—
1477#538—594no—
1478#538—594no—
1479#538—594no—
1480#538—594no—
1481#538—594no—
1482#537—592no—
1483#537—592no—
1484#537—592no—
1485#537—592no—
1486#536—592no—
1487#536—592no—
1488#536—592no—
1489#536—592no—
1490#535—592no—
1491#535—592no—
1492#535—592no—
1493#535—592no—
1494#533—594no—
1495#533—592no—
1496#533—591no—
1497#533—591no—
1498#533—591no—
1499#533—591no—
1500#533—591no—
1501#533—591no—
1502#533—592no—
1503#533C2×D5911yescharacteristic, complemented
1504#533C2×D5911yescharacteristic, complemented
1505#533C2×D5911yescharacteristic, complemented
1506#532—594no—
1507#532—594no—
1508#532—592no—
1509#532—594no—
1510#532—591no—
1511#532—591no—
1512#532—591no—
1513#532—591no—
1514#532—591no—
1515#532—591no—
1516#532—592no—
1517#532C2×D5911yescharacteristic
1518#532C2×D5911yescharacteristic
1519#532C2×D5911yescharacteristic
1520#529—594no—
1521#529—592no—
1522#529—594no—
1523#529—594no—
1524#529—594no—
1525#529—594no—
1526#529—592no—
1527#529—594no—
1528#529—594no—
1529#529—594no—
1530#529—594no—
1531#529—594no—
1532#529—591no—
1533#529—591no—
1534#529—592no—
1535#529—592no—
1536#529—592no—
1537#529—591no—
1538#529—591no—
1539#529—592no—
1540#529—592no—
1541#529—592no—
1542#529—592no—
1543#529—592no—
1544#529—592no—
1545#529—592no—
1546#529—592no—
1547#529—592no—
1548#529C2×D5911yescharacteristic
1549#529C2×D5911yescharacteristic
1550#529C2×D5912yescomplemented
1551#529C2×D5911yescharacteristic, complemented
1552#529C2×D5911yescharacteristic, complemented
1553#529C2×D5912yescomplemented
1554#529C2×D5912yescomplemented
1555#529C2×D5912yescomplemented
1556#525—594no—
1557#525—591no—
1558#525—592no—
1559#525—592no—
1560#525—591no—
1561#525—592no—
1562#525—592no—
1563#525—592no—
1564#525—594no—
1565#525—594no—
1566#525—594no—
1567#525C2×D5911yescharacteristic
1568#525C2×D5912yescomplemented
1569#525C2×D5911yescharacteristic, complemented
1570#525C2×D5912yescomplemented
1571C4×#41—592no—
1572C4×#41—592no—
1573C4×#41—594no—
1574C4×#41—592no—
1575C4×#41—592no—
1576C4×#41—592no—
1577C4×#41—592no—
1578C4×#41—592no—
1579C4×#41—591no—
1580C4×#41—591no—
1581C4×#41—592no—
1582C4×#41—592no—
1583C4×#41C2×D5911yescharacteristic
1584C4×#41C2×D5912yescomplemented
1585C4×#41C2×D5912yescomplemented
1586C4×#41C2×D5911yescharacteristic, complemented
1587C2×C4×Q8—592no—
1588C2×C4×Q8—592no—
1589C2×C4×D4—592no—
1590C2×C4×D4—592no—
1591C2×#117—594no—
1592C22×C42C2×D5911yescharacteristic, complemented
1593C59#6276211yescharacteristic, complemented, Sylow
1594C2×#41—592no—
1595C2×#41—592no—
1596C2×#41—592no—
1597C2×#41—592no—
1598C2×#41—594no—
1599C2×#41—592no—
1600C2×#41—591no—
1601C2×#41—592no—
1602C2×#41—592no—
1603C2×#41—591no—
1604C2×#41—592no—
1605C2×#41—592no—
1606C2×#41C22×D5911yescharacteristic
1607C2×#41C22×D5912yes—
1608C2×#41C22×D5912yes—
1609C2×#41C22×D5911yescharacteristic
1610C22×Q8—592no—
1611C22×Q8—592no—
1612C22×D4—592no—
1613C22×D4—592no—
1614C23×C4—594no—
1615C23×C4C22×D5911yescharacteristic
1616C23×C4C22×D5911yescharacteristic
1617C23×C4C22×D5911yescharacteristic
1618C4⋊Q8—594no—
1619C4⋊Q8—594no—
1620C4⋊Q8—592no—
1621C4⋊Q8—594no—
1622C4⋊Q8—592no—
1623C4⋊Q8—594no—
1624C4⋊Q8—594no—
1625C4⋊Q8—592no—
1626C4⋊Q8—591no—
1627C4⋊Q8—591no—
1628C4⋊Q8—591no—
1629C4⋊Q8—591no—
1630C4⋊Q8—591no—
1631C4⋊Q8—591no—
1632C4⋊Q8—592no—
1633C4⋊Q8—592no—
1634C4⋊Q8—592no—
1635C4⋊Q8C22×D5911yescharacteristic
1636C4⋊Q8C22×D5911yescharacteristic
1637C4⋊Q8C22×D5911yescharacteristic
1638#127—592no—
1639#127—594no—
1640#127—594no—
1641#127—594no—
1642#127—591no—
1643#127—591no—
1644#127—592no—
1645#127C22×D5911yescharacteristic
1646#126—594no—
1647#126—594no—
1648#126—594no—
1649#126—594no—
1650#126—594no—
1651#126—594no—
1652#126—594no—
1653#126—594no—
1654#126—594no—
1655#126—594no—
1656#126—594no—
1657#126—594no—
1658#126—594no—
1659#126—594no—
1660#126—594no—
1661#126—594no—
1662#126—594no—
1663#126—594no—
1664#126—594no—
1665#126—594no—
1666#126—594no—
1667#126—594no—
1668#126—592no—
1669#126—594no—
1670#126—594no—
1671#126—592no—
1672#126—592no—
1673#126—592no—
1674#126—594no—
1675#126—594no—
1676#126C22×D5912yes—
1677#126C22×D5912yes—
1678#126C22×D5912yes—
1679#126C22×D5912yes—
1680#125—594no—
1681#125—594no—
1682#125—594no—
1683#125—594no—
1684#125—594no—
1685#125—594no—
1686#125—592no—
1687#125—594no—
1688#125—594no—
1689#125—594no—
1690#125—594no—
1691#125—592no—
1692#125—594no—
1693#125—594no—
1694#125—594no—
1695#125—592no—
1696#125—592no—
1697#125—592no—
1698#125—592no—
1699#125—592no—
1700#125—591no—
1701#125—591no—
1702#125—592no—
1703#125—592no—
1704#125—594no—
1705#125C22×D5911yescharacteristic
1706#125C22×D5911yescharacteristic
1707#125C22×D5912yes—
1708#125C22×D5912yes—
1709#124—594no—
1710#124—592no—
1711#124—594no—
1712#124—592no—
1713#124—594no—
1714#124—594no—
1715#124—594no—
1716#124—594no—
1717#124—594no—
1718#124—594no—
1719#124—594no—
1720#124—594no—
1721#124—594no—
1722#124—594no—
1723#124—594no—
1724#124—594no—
1725#124—594no—
1726#124—594no—
1727#124—594no—
1728#124—592no—
1729#124—592no—
1730#124—592no—
1731#124—592no—
1732#124—591no—
1733#124—591no—
1734#124—592no—
1735#124—592no—
1736#124—592no—
1737#124—594no—
1738#124C22×D5911yescharacteristic
1739#124C22×D5912yes—
1740#124C22×D5912yes—
1741#124C22×D5911yescharacteristic
1742#123—594no—
1743#123—594no—
1744#123—594no—
1745#123—594no—
1746#123—594no—
1747#123—592no—
1748#123—594no—
1749#123—594no—
1750#123—592no—
1751#123—592no—
1752#123—592no—
1753#123—592no—
1754#123—594no—
1755#123—592no—
1756#123—594no—
1757#123—594no—
1758#123—594no—
1759#123—594no—
1760#123—594no—
1761#123—594no—
1762#123—594no—
1763#123—594no—
1764#123—594no—
1765#123—594no—
1766#123—594no—
1767#123—594no—
1768#123—594no—
1769#123—594no—
1770#123—594no—
1771#123—594no—
1772#123—594no—
1773#123—594no—
1774#123—594no—
1775#123—594no—
1776#123—594no—
1777#123—594no—
1778#123—594no—
1779#123—594no—
1780#123—594no—
1781#123—594no—
1782#123—594no—
1783#123C22×D5912yes—
1784#123C22×D5912yes—
1785#123C22×D5912yes—
1786#123C22×D5912yes—
1787#123C22×D5912yes—
1788#123C22×D5912yes—
1789C22⋊Q8—594no—
1790C22⋊Q8—594no—
1791C22⋊Q8—592no—
1792C22⋊Q8—594no—
1793C22⋊Q8—594no—
1794C22⋊Q8—592no—
1795C22⋊Q8—591no—
1796C22⋊Q8—592no—
1797C22⋊Q8—592no—
1798C22⋊Q8—591no—
1799C22⋊Q8—592no—
1800C22⋊Q8—592no—
1801C22⋊Q8—591no—
1802C22⋊Q8—592no—
1803C22⋊Q8—592no—
1804C22⋊Q8—591no—
1805C22⋊Q8—592no—
1806C22⋊Q8—592no—
1807C22⋊Q8—592no—
1808C22⋊Q8—592no—
1809C22⋊Q8—592no—
1810C22⋊Q8—592no—
1811C22⋊Q8—592no—
1812C22⋊Q8—592no—
1813C22⋊Q8—594no—
1814C22⋊Q8—594no—
1815C22⋊Q8—594no—
1816C22⋊Q8—594no—
1817C22⋊Q8—594no—
1818C22⋊Q8—594no—
1819C22⋊Q8—592no—
1820C22⋊Q8—594no—
1821C22⋊Q8—594no—
1822C22⋊Q8—594no—
1823C22⋊Q8—594no—
1824C22⋊Q8—594no—
1825C22⋊Q8—594no—
1826C22⋊Q8—592no—
1827C22⋊Q8—594no—
1828C22⋊Q8—594no—
1829C22⋊Q8—594no—
1830C22⋊Q8—594no—
1831C22⋊Q8—594no—
1832C22⋊Q8—594no—
1833C22⋊Q8—594no—
1834C22⋊Q8—594no—
1835C22⋊Q8C22×D5911yescharacteristic
1836C22⋊Q8C22×D5911yescharacteristic
1837C22⋊Q8C22×D5911yescharacteristic
1838C22⋊Q8C22×D5911yescharacteristic
1839C22⋊Q8C22×D5912yes—
1840C22⋊Q8C22×D5912yes—
1841C22⋊Q8C22×D5912yes—
1842C22⋊Q8C22×D5912yes—
1843#121—594no—
1844#121—594no—
1845#121—594no—
1846#121—594no—
1847#121—594no—
1848#121—594no—
1849#121—592no—
1850#121—594no—
1851#121—594no—
1852#121—594no—
1853#121—594no—
1854#121—594no—
1855#121—592no—
1856#121—594no—
1857#121—594no—
1858#121—594no—
1859#121—594no—
1860#121—594no—
1861#121—591no—
1862#121—592no—
1863#121—592no—
1864#121—591no—
1865#121—592no—
1866#121—592no—
1867#121—591no—
1868#121—592no—
1869#121—592no—
1870#121—591no—
1871#121—592no—
1872#121—592no—
1873#121—592no—
1874#121—592no—
1875#121—592no—
1876#121—592no—
1877#121—592no—
1878#121—592no—
1879#121—594no—
1880#121—594no—
1881#121—592no—
1882#121—592no—
1883#121—594no—
1884#121—594no—
1885#121—594no—
1886#121—594no—
1887#121—594no—
1888#121—594no—
1889#121—594no—
1890#121—594no—
1891#121—594no—
1892#121—594no—
1893#121—594no—
1894#121—594no—
1895#121—594no—
1896#121—594no—
1897#121C22×D5911yescharacteristic
1898#121C22×D5911yescharacteristic
1899#121C22×D5911yescharacteristic
1900#121C22×D5912yes—
1901#121C22×D5912yes—
1902#121C22×D5911yescharacteristic
1903#121C22×D5912yes—
1904#121C22×D5912yes—
1905#120—592no—
1906#120—594no—
1907#120—592no—
1908#120—594no—
1909#120—594no—
1910#120—594no—
1911#120—594no—
1912#120—594no—
1913#120—594no—
1914#120—594no—
1915#120—594no—
1916#120C22×D5912yes—
1917#120C22×D5912yes—
1918C4×Q8—592no—
1919C4×Q8—592no—
1920C4×Q8—592no—
1921C4×Q8—594no—
1922C4×Q8—594no—
1923C4×Q8—594no—
1924C4×Q8—592no—
1925C4×Q8—591no—
1926C4×Q8—592no—
1927C4×Q8—592no—
1928C4×Q8—594no—
1929C4×Q8—594no—
1930C4×Q8—592no—
1931C4×Q8—592no—
1932C4×Q8—594no—
1933C4×Q8—591no—
1934C4×Q8—592no—
1935C4×Q8—592no—
1936C4×Q8—592no—
1937C4×Q8—592no—
1938C4×Q8—592no—
1939C4×Q8—592no—
1940C4×Q8—591no—
1941C4×Q8—591no—
1942C4×Q8—592no—
1943C4×Q8—592no—
1944C4×Q8—592no—
1945C4×Q8—592no—
1946C4×Q8C22×D5911yescharacteristic
1947C4×Q8C22×D5911yescharacteristic
1948C4×Q8C22×D5911yescharacteristic
1949C4×Q8C22×D5912yes—
1950C4×Q8C22×D5911yescharacteristic
1951C4×Q8C22×D5912yes—
1952C4×Q8C22×D5912yes—
1953C4×Q8C22×D5912yes—
1954C4×D4—592no—
1955C4×D4—592no—
1956C4×D4—594no—
1957C4×D4—592no—
1958C4×D4—592no—
1959C4×D4—594no—
1960C4×D4—594no—
1961C4×D4—594no—
1962C4×D4—594no—
1963C4×D4—592no—
1964C4×D4—592no—
1965C4×D4—594no—
1966C4×D4—592no—
1967C4×D4—594no—
1968C4×D4—594no—
1969C4×D4—592no—
1970C4×D4—592no—
1971C4×D4—592no—
1972C4×D4—592no—
1973C4×D4—592no—
1974C4×D4—592no—
1975C4×D4—594no—
1976C4×D4—594no—
1977C4×D4—592no—
1978C4×D4—594no—
1979C4×D4—594no—
1980C4×D4—592no—
1981C4×D4—594no—
1982C4×D4—594no—
1983C4×D4—594no—
1984C4×D4—592no—
1985C4×D4—594no—
1986C4×D4—594no—
1987C4×D4—594no—
1988C4×D4—594no—
1989C4×D4—594no—
1990C4×D4—594no—
1991C4×D4—591no—
1992C4×D4—592no—
1993C4×D4—592no—
1994C4×D4—594no—
1995C4×D4—592no—
1996C4×D4—592no—
1997C4×D4—594no—
1998C4×D4—591no—
1999C4×D4—592no—
2000C4×D4—594no—
2001C4×D4—592no—
2002C4×D4—592no—
2003C4×D4—592no—
2004C4×D4—591no—
2005C4×D4—592no—
2006C4×D4—592no—
2007C4×D4—592no—
2008C4×D4—591no—
2009C4×D4—592no—
2010C4×D4—592no—
2011C4×D4—592no—
2012C4×D4C22×D5911yescharacteristic
2013C4×D4C22×D5911yescharacteristic
2014C4×D4C22×D5912yes—
2015C4×D4C22×D5912yes—
2016C4×D4C22×D5911yescharacteristic
2017C4×D4C22×D5912yes—
2018C4×D4C22×D5912yes—
2019C4×D4C22×D5912yes—
2020C4×D4C22×D5912yes—
2021C4×D4C22×D5912yes—
2022C4×D4C22×D5912yes—
2023C4×D4C22×D5912yes—
2024C4×D4C22×D5912yes—
2025C4×D4C22×D5912yes—
2026C4×D4C22×D5912yes—
2027C4×D4C22×D5912yes—
2028C4×D4C22×D5912yes—
2029C4×D4C22×D5912yes—
2030C4×D4C22×D5911yescharacteristic
2031C4×D4C22×D5912yes—
2032#117—594no—
2033#117—592no—
2034#117—592no—
2035#117—592no—
2036#117—591no—
2037#117—592no—
2038#117—592no—
2039#117—591no—
2040#117—592no—
2041#117—592no—
2042#117—594no—
2043#117—594no—
2044#117—592no—
2045#117—592no—
2046#117—594no—
2047#117—594no—
2048#117—594no—
2049#117—594no—
2050#117—592no—
2051#117—594no—
2052#117—592no—
2053#117—594no—
2054#117—594no—
2055#117—592no—
2056#117—592no—
2057#117—592no—
2058#117—594no—
2059#117—594no—
2060#117—592no—
2061#117—594no—
2062#117—594no—
2063#117C22×D5912yes—
2064#117C22×D5912yes—
2065#117C22×D5911yescharacteristic
2066#117C22×D5912yes—
2067#117C22×D5911yescharacteristic
2068#117C22×D5912yes—
2069#117C22×D5912yes—
2070#117C22×D5912yes—
2071#117C22×D5912yes—
2072#117C22×D5912yes—
2073C2×C4⋊C4—592no—
2074C2×C4⋊C4—592no—
2075C2×C4⋊C4—594no—
2076C2×C4⋊C4—594no—
2077C2×C4⋊C4—594no—
2078C2×C4⋊C4—592no—
2079C2×C4⋊C4—592no—
2080C2×C4⋊C4—594no—
2081C2×C22⋊C4—594no—
2082C2×C22⋊C4—594no—
2083C2×C22⋊C4—594no—
2084C2×C22⋊C4—594no—
2085C2×C42—594no—
2086C2×C42—594no—
2087C2×C42—594no—
2088C2×C42—592no—
2089C2×C42—592no—
2090C2×C42—594no—
2091C2×C42C22×D5912yes—
2092C2×C42C22×D5912yes—
2093C2×C42C22×D5911yescharacteristic
2094C2×C42C22×D5911yescharacteristic
2095C2×C42C22×D5911yescharacteristic
2096C2×C42C22×D5911yescharacteristic
2097C2×C42C22×D5911yescharacteristic
2098C2×C42C22×D5911yescharacteristic
2099C2×C42C22×D5911yescharacteristic
2100C2×C42C22×D5911yescharacteristic
2101C2×C42C22×D5911yescharacteristic
2102C2×C42C22×D5911yescharacteristic
2103C2×C42C22×D5911yescharacteristic
2104C2×C42C22×D5911yescharacteristic
2105C24—594no—
2106C24C23×D5911yescharacteristic
2107#41—44no—
2108#41—44no—
2109#41—42no—
2110#41—42no—
2111#41—2364no—
2112#41—2364no—
2113#41—2364no—
2114#41—2368no—
2115#41—2362no—
2116#41—2364no—
2117#41—2364no—
2118#41—2362no—
2119#41—2364no—
2120#41—2364no—
2121#41—2364no—
2122#41—2364no—
2123C2×Q8—591no—
2124C2×Q8—592no—
2125C2×Q8—592no—
2126C2×Q8—591no—
2127C2×Q8—594no—
2128C2×Q8—594no—
2129C2×Q8—592no—
2130C2×Q8—592no—
2131C2×Q8—592no—
2132C2×Q8—594no—
2133C2×Q8—2364no—
2134C2×Q8—2364no—
2135C2×Q8C23×D5911yescharacteristic
2136C2×Q8C23×D5911yescharacteristic
2137C2×Q8C23×D5912yes—
2138C2×Q8C23×D5912yes—
2139C2×D4—592no—
2140C2×D4—592no—
2141C2×D4—592no—
2142C2×D4—594no—
2143C2×D4—594no—
2144C2×D4—594no—
2145C2×D4—594no—
2146C2×D4—594no—
2147C2×D4—592no—
2148C2×D4—594no—
2149C2×D4—594no—
2150C2×D4—592no—
2151C2×D4—592no—
2152C2×D4—594no—
2153C2×D4—594no—
2154C2×D4—591no—
2155C2×D4—592no—
2156C2×D4—592no—
2157C2×D4—591no—
2158C2×D4—592no—
2159C2×D4—592no—
2160C2×D4—592no—
2161C2×D4—594no—
2162C2×D4—594no—
2163C2×D4—594no—
2164C2×D4—2364no—
2165C2×D4—2364no—
2166C2×D4C23×D5911yescharacteristic
2167C2×D4C23×D5911yescharacteristic
2168C2×D4C23×D5912yes—
2169C2×D4C23×D5912yes—
2170C2×D4C23×D5912yes—
2171C2×D4C23×D5912yes—
2172C2×D4C23×D5912yes—
2173C2×D4C23×D5912yes—
2174C2×D4C23×D5912yes—
2175C2×D4C23×D5912yes—
2176C22×C4—42no—
2177C22×C4—42no—
2178C22×C4—42no—
2179C22×C4—594no—
2180C22×C4—594no—
2181C22×C4—594no—
2182C22×C4—592no—
2183C22×C4—592no—
2184C22×C4—592no—
2185C22×C4—594no—
2186C22×C4—592no—
2187C22×C4—592no—
2188C22×C4—594no—
2189C22×C4—594no—
2190C22×C4—594no—
2191C22×C4—594no—
2192C22×C4—592no—
2193C22×C4—594no—
2194C22×C4—594no—
2195C22×C4—594no—
2196C22×C4—594no—
2197C22×C4—2368no—
2198C22×C4C23×D5911yescharacteristic
2199C22×C4C23×D5911yescharacteristic
2200C22×C4C23×D5911yescharacteristic
2201C22×C4C23×D5911yescharacteristic
2202C22×C4C23×D5911yescharacteristic
2203C22×C4C23×D5911yescharacteristic
2204C22×C4C23×D5912yes—
2205C22×C4C23×D5912yes—
2206C22×C4C23×D5912yes—
2207C22×C4C23×D5911yescharacteristic
2208C22×C4C23×D5911yescharacteristic
2209C22×C4C23×D5911yescharacteristic
2210C22×C4C23×D5912yes—
2211C22×C4C23×D5911yescharacteristic
2212C22×C4C23×D5911yescharacteristic
2213C22×C4C23×D5911yescharacteristic
2214C22×C4C23×D5911yescharacteristic
2215C22×C4C23×D5911yescharacteristic
2216C22×C4C23×D5911yescharacteristic
2217C22×C4C23×D5911yescharacteristic
2218C22×C4C23×D5911yescharacteristic
2219C22×C4C23×D5911yescharacteristic
2220C22×C4C23×D5912yes—
2221C22×C4C23×D5912yes—
2222C4⋊C4—592no—
2223C4⋊C4—592no—
2224C4⋊C4—591no—
2225C4⋊C4—591no—
2226C4⋊C4—592no—
2227C4⋊C4—592no—
2228C4⋊C4—592no—
2229C4⋊C4—592no—
2230C4⋊C4—592no—
2231C4⋊C4—594no—
2232C4⋊C4—594no—
2233C4⋊C4—594no—
2234C4⋊C4—594no—
2235C4⋊C4—594no—
2236C4⋊C4—594no—
2237C4⋊C4—594no—
2238C4⋊C4—594no—
2239C4⋊C4—594no—
2240C4⋊C4—594no—
2241C4⋊C4—594no—
2242C4⋊C4—594no—
2243C4⋊C4—594no—
2244C4⋊C4—594no—
2245C4⋊C4—591no—
2246C4⋊C4—592no—
2247C4⋊C4—591no—
2248C4⋊C4—592no—
2249C4⋊C4—592no—
2250C4⋊C4—592no—
2251C4⋊C4—592no—
2252C4⋊C4—592no—
2253C4⋊C4—594no—
2254C4⋊C4—594no—
2255C4⋊C4—594no—
2256C4⋊C4—594no—
2257C4⋊C4—594no—
2258C4⋊C4—594no—
2259C4⋊C4—594no—
2260C4⋊C4—594no—
2261C4⋊C4—594no—
2262C4⋊C4—594no—
2263C4⋊C4—592no—
2264C4⋊C4—592no—
2265C4⋊C4—592no—
2266C4⋊C4—592no—
2267C4⋊C4—592no—
2268C4⋊C4—592no—
2269C4⋊C4—592no—
2270C4⋊C4—592no—
2271C4⋊C4—592no—
2272C4⋊C4C23×D5912yes—
2273C4⋊C4C23×D5912yes—
2274C4⋊C4C23×D5911yescharacteristic
2275C4⋊C4C23×D5911yescharacteristic
2276C4⋊C4C23×D5912yes—
2277C4⋊C4C23×D5911yescharacteristic
2278C4⋊C4C23×D5912yes—
2279C4⋊C4C23×D5911yescharacteristic
2280C4⋊C4C23×D5912yes—
2281C4⋊C4C23×D5912yes—
2282C4⋊C4C23×D5912yes—
2283C4⋊C4C23×D5912yes—
2284C4⋊C4C23×D5912yes—
2285C4⋊C4C23×D5912yes—
2286C4⋊C4C23×D5912yes—
2287C4⋊C4C23×D5912yes—
2288C4⋊C4C23×D5912yes—
2289C4⋊C4C23×D5912yes—
2290C4⋊C4C23×D5912yes—
2291C4⋊C4C23×D5912yes—
2292C22⋊C4—594no—
2293C22⋊C4—594no—
2294C22⋊C4—594no—
2295C22⋊C4—594no—
2296C22⋊C4—592no—
2297C22⋊C4—592no—
2298C22⋊C4—592no—
2299C22⋊C4—594no—
2300C22⋊C4—594no—
2301C22⋊C4—594no—
2302C22⋊C4—592no—
2303C22⋊C4—592no—
2304C22⋊C4—592no—
2305C22⋊C4—594no—
2306C22⋊C4—594no—
2307C22⋊C4—592no—
2308C22⋊C4—592no—
2309C22⋊C4—592no—
2310C22⋊C4—594no—
2311C22⋊C4—594no—
2312C22⋊C4—594no—
2313C22⋊C4—594no—
2314C22⋊C4—594no—
2315C22⋊C4—594no—
2316C22⋊C4—594no—
2317C22⋊C4—592no—
2318C22⋊C4—592no—
2319C22⋊C4—592no—
2320C22⋊C4—592no—
2321C22⋊C4—592no—
2322C22⋊C4—592no—
2323C22⋊C4—594no—
2324C22⋊C4—594no—
2325C22⋊C4—594no—
2326C22⋊C4—594no—
2327C22⋊C4—594no—
2328C22⋊C4—594no—
2329C22⋊C4—594no—
2330C22⋊C4—594no—
2331C22⋊C4—594no—
2332C22⋊C4—594no—
2333C22⋊C4—592no—
2334C22⋊C4—592no—
2335C22⋊C4—592no—
2336C22⋊C4—594no—
2337C22⋊C4C23×D5912yes—
2338C22⋊C4C23×D5912yes—
2339C22⋊C4C23×D5912yes—
2340C22⋊C4C23×D5912yes—
2341C22⋊C4C23×D5912yes—
2342C22⋊C4C23×D5912yes—
2343C22⋊C4C23×D5912yes—
2344C22⋊C4C23×D5912yes—
2345C22⋊C4C23×D5912yes—
2346C22⋊C4C23×D5912yes—
2347C22⋊C4C23×D5912yes—
2348C22⋊C4C23×D5912yes—
2349C22⋊C4C23×D5912yes—
2350C22⋊C4C23×D5912yes—
2351C22⋊C4C23×D5912yes—
2352C22⋊C4C23×D5912yes—
2353C22⋊C4C23×D5912yes—
2354C22⋊C4C23×D5912yes—
2355C42—594no—
2356C42—592no—
2357C42—594no—
2358C42—594no—
2359C42—592no—
2360C42—592no—
2361C42—592no—
2362C42—594no—
2363C42—594no—
2364C42—594no—
2365C42—594no—
2366C42—594no—
2367C42—592no—
2368C42—592no—
2369C42—594no—
2370C42C23×D5911yescharacteristic
2371C42C23×D5911yescharacteristic
2372C42C23×D5911yescharacteristic
2373C42C23×D5911yescharacteristic
2374C42C23×D5911yescharacteristic
2375C42C23×D5911yescharacteristic
2376C42C23×D5911yescharacteristic
2377C42C23×D5911yescharacteristic
2378C42C23×D5911yescharacteristic
2379C42C23×D5911yescharacteristic
2380C42C23×D5911yescharacteristic
2381C42C23×D5911yescharacteristic
2382C42C23×D5912yes—
2383C42C23×D5912yes—
2384C42C23×D5912yes—
2385C42C23×D5912yes—
2386C42C23×D5911yescharacteristic
2387C42C23×D5911yescharacteristic
2388C42C23×D5912yes—
2389C42C23×D5912yes—
2390C42C23×D5911yescharacteristic
2391C42C23×D5911yescharacteristic
2392C23—41no—
2393C23—41no—
2394C23—41no—
2395C23—592no—
2396C23—594no—
2397C23—592no—
2398C23—2364no—
2399C23—2364no—
2400C23—2364no—
2401C23C24×D5912yes—
2402C23C24×D5911yescharacteristic
2403C23C24×D5911yescharacteristic
2404C23C24×D5911yescharacteristic
2405C23C24×D5912yes—
2406Q8—22no—
2407Q8—22no—
2408Q8—42no—
2409Q8—42no—
2410Q8—1182no—
2411Q8—1184no—
2412Q8—1184no—
2413Q8—1182no—
2414Q8—2364no—
2415Q8—2364no—
2416Q8—2362no—
2417Q8—2362no—
2418Q8—2362no—
2419Q8—2364no—
2420D4—22no—
2421D4—22no—
2422D4—42no—
2423D4—42no—
2424D4—42no—
2425D4—42no—
2426D4—42no—
2427D4—42no—
2428D4—42no—
2429D4—42no—
2430D4—1182no—
2431D4—1184no—
2432D4—1184no—
2433D4—1182no—
2434D4—2364no—
2435D4—2362no—
2436D4—2362no—
2437D4—2362no—
2438D4—2364no—
2439D4—2364no—
2440D4—2364no—
2441D4—2362no—
2442D4—2362no—
2443D4—2364no—
2444D4—2364no—
2445D4—2362no—
2446D4—2362no—
2447D4—2364no—
2448D4—2362no—
2449D4—2364no—
2450D4—2364no—
2451D4—2364no—
2452D4—2364no—
2453D4—2364no—
2454D4—2362no—
2455C2×C4—22no—
2456C2×C4—22no—
2457C2×C4—22no—
2458C2×C4—22no—
2459C2×C4—22no—
2460C2×C4—22no—
2461C2×C4—22no—
2462C2×C4—22no—
2463C2×C4—22no—
2464C2×C4—24no—
2465C2×C4—24no—
2466C2×C4—24no—
2467C2×C4—24no—
2468C2×C4—41no—
2469C2×C4—41no—
2470C2×C4—41no—
2471C2×C4—41no—
2472C2×C4—41no—
2473C2×C4—41no—
2474C2×C4—41no—
2475C2×C4—41no—
2476C2×C4—41no—
2477C2×C4—42no—
2478C2×C4—42no—
2479C2×C4—592no—
2480C2×C4—592no—
2481C2×C4—592no—
2482C2×C4—594no—
2483C2×C4—594no—
2484C2×C4—594no—
2485C2×C4—592no—
2486C2×C4—592no—
2487C2×C4—592no—
2488C2×C4—1184no—
2489C2×C4—1188no—
2490C2×C4—1184no—
2491C2×C4—1184no—
2492C2×C4—1184no—
2493C2×C4—2364no—
2494C2×C4—2364no—
2495C2×C4—2364no—
2496C2×C4—2362no—
2497C2×C4—2364no—
2498C2×C4—2364no—
2499C2×C4—2362no—
2500C2×C4—2364no—
2501C2×C4—2364no—
2502C2×C4—2364no—
2503C2×C4—2364no—
2504C2×C4—2364no—
2505C2×C4—2364no—
2506C2×C4C24×D5911yescharacteristic
2507C2×C4C24×D5911yescharacteristic
2508C2×C4C24×D5911yescharacteristic
2509C2×C4C24×D5912yes—
2510C2×C4C24×D5912yes—
2511C2×C4C24×D5912yes—
2512C2×C4C24×D5912yes—
2513C2×C4C24×D5912yes—
2514C2×C4C24×D5911yescharacteristic
2515C2×C4C24×D5911yescharacteristic
2516C2×C4C24×D5911yescharacteristic
2517C2×C4C24×D5911yescharacteristic
2518C2×C4C24×D5911yescharacteristic
2519C2×C4C24×D5911yescharacteristic
2520C2×C4C24×D5912yes—
2521C2×C4C24×D5911yescharacteristic
2522C2×C4C24×D5911yescharacteristic
2523C2×C4C24×D5911yescharacteristic
2524C22—21no—
2525C22—21no—
2526C22—21no—
2527C22—21no—
2528C22—21no—
2529C22—21no—
2530C22—21no—
2531C22—21no—
2532C22—21no—
2533C22—22no—
2534C22—22no—
2535C22—22no—
2536C22—22no—
2537C22—22no—
2538C22—22no—
2539C22—44no—
2540C22—1182no—
2541C22—1182no—
2542C22—1184no—
2543C22—1182no—
2544C22—1182no—
2545C22—1182no—
2546C22—1184no—
2547C22—1184no—
2548C22—1182no—
2549C22—4728no—
2550C22C25×D5911yescharacteristic
2551C4—21no—
2552C4—21no—
2553C4—21no—
2554C4—21no—
2555C4—21no—
2556C4—21no—
2557C4—21no—
2558C4—21no—
2559C4—21no—
2560C4—22no—
2561C4—22no—
2562C4—22no—
2563C4—22no—
2564C4—22no—
2565C4—22no—
2566C4—1182no—
2567C4—1182no—
2568C4—1184no—
2569C4—1182no—
2570C4—1182no—
2571C4—1182no—
2572C4—1184no—
2573C4—1184no—
2574C4—1182no—
2575C4#1683823812yes—
2576C4#1683823812yes—
2577C4#1683823812yes—
2578C2—41no—
2579C2—41no—
2580C2—41no—
2581C2—42no—
2582C2—42no—
2583C2—2362no—
2584C2—2364no—
2585C2—2362no—
2586C2C2×#1683823811yescharacteristic
2587C2C2×#1683823811yescharacteristic
2588C2C2×#1683823811yescharacteristic
subgroupG/H
centerC2×C4C24×D59
commutator, socle, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC59×#3444C2
hypercenter#3444D59
hypocenterC59#62762
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #21438772C2semidirect
2. #21438764C2semidirect
3. #21438745C2semidirect
4. #21438741C2semidirect
5. #21438688C2semidirect
6. #21438684C2semidirect
7. #21438586C2semidirect
8. #21438584C2semidirect
9. #21438569C2semidirect
10. #21438567C2semidirect
11. #21438487C2semidirect
12. #21438485C2semidirect
13. #21438470C2semidirect
14. #21438468C2semidirect
15. #21438371C2semidirect
16. #21438364C2semidirect
17. #21438356C2semidirect
18. #21438352C2semidirect
19. #21438234C2semidirect
20. #21437722C2semidirect
21. #21437718C2semidirect
22. #21437711C2semidirect
23. #21437706C2semidirect
24. #21437689C2semidirect
25. #21437687C2semidirect
26. #21437660C2semidirect
27. #21437652C2semidirect
28. #21437527C2semidirect
29. #21437523C2semidirect
30. #21437512C2semidirect
31. #21437510C2semidirect
32. #21437479C2semidirect
33. #21437392C2semidirect
34. #21437392C2semidirect
35. C59×#3444C2semidirect
36. #16838155C22semidirect
37. #16838153C22semidirect
38. #16838153C22semidirect
39. #16838149C22semidirect
40. #16838149C22semidirect
41. #16838148C22semidirect
42. #16838148C22semidirect
43. #16838147C22semidirect
44. #16838147C22semidirect
45. #16838145C22semidirect
47. #16838141C22semidirect
48. #16838141C22semidirect
49. #16838141C22semidirect
51. #16838140C22semidirect
52. #16838137C22semidirect
53. #16838137C22semidirect
54. #16838136C22semidirect
55. #16838135C22semidirect
56. #16838134C22semidirect
57. Q8×Dic118C22semidirect
58. #16838131C22semidirect
59. #16838130C22semidirect
60. #16838130C22semidirect
61. #16838129C22semidirect
62. #16838125C22semidirect
63. #16838125C22semidirect
64. #16838124C22semidirect
65. #16838123C22semidirect
66. #16838122C22semidirect
67. #16838122C22semidirect
68. #16838122C22semidirect
69. #16838121C22semidirect
70. #16838120C22semidirect
71. #16838119C22semidirect
73. #16838117C22semidirect
74. #16838117C22semidirect
76. #16838115C22semidirect
77. #16838115C22semidirect
78. #16838112C22semidirect
79. #16838112C22semidirect
80. #16838109C22semidirect
81. #16838108C22semidirect
82. #16838105C22semidirect
83. #16838103C22semidirect
84. #16838102C22semidirect
85. #16838101C22semidirect
86. #16838101C22semidirect
87. #16838099C22semidirect
89. #16838098C22semidirect
90. #16838098C22semidirect
91. #16838097C22semidirect
92. #16838097C22semidirect
94. #16838093C22semidirect
95. #16838092C22semidirect
96. #16838092C22semidirect
97. #16838092C22semidirect
98. #16838091C22semidirect
99. #16838091C22semidirect
100. #16838090C22semidirect
101. #16838088C22semidirect
102. #16838086C22semidirect
103. #16838085C22semidirect
104. #16838081C22semidirect
105. #16838081C22semidirect
106. #16838080C22semidirect
107. #16838077C22semidirect
108. #16838076C22semidirect
109. #16838074C22semidirect
111. #16838073C22semidirect
112. #16838073C22semidirect
113. #16838071C22semidirect
115. Q8×D236C22semidirect
116. D4×Dic118C22semidirect
117. #16838062C22semidirect
119. #16838061C22semidirect
120. #16838061C22semidirect
121. #16838060C22semidirect
123. #16838057C22semidirect
124. #16838057C22semidirect
125. #16838057C22semidirect
126. #16838056C22semidirect
127. #16838054C22semidirect
128. #16838051C22semidirect
132. #16838048C22semidirect
133. #16838045C22semidirect
135. D4×D236C22semidirect
136. #16838030C22semidirect
137. #16838030C22semidirect
138. #16838029C22semidirect
139. #16838029C22semidirect
140. #16838026C22semidirect
141. #16838026C22semidirect
142. #16838025C22semidirect
143. #16838024C22semidirect
145. #16838023C22semidirect
146. #16838023C22semidirect
147. #16838023C22semidirect
148. #16838022C22semidirect
149. #16838022C22semidirect
150. #16838020C22semidirect
152. #16838018C22semidirect
153. #16838017C22semidirect
154. #16838016C22semidirect
155. #16838016C22semidirect
156. #16838014C22semidirect
157. #16838014C22semidirect
158. #16838013C22semidirect
159. #16838012C22semidirect
160. #16838011C22semidirect
161. #16838011C22semidirect
162. #16838010C22semidirect
163. #16838009C22semidirect
164. #16838007C22semidirect
165. #16838007C22semidirect
166. #16838006C22semidirect
167. #16838005C22semidirect
168. #16838004C22semidirect
169. #16838003C22semidirect
170. #16838002C22semidirect
171. #16838002C22semidirect
172. #16838000C22semidirect
173. #16838000C22semidirect
174. #16837998C22semidirect
175. #16837998C22semidirect
176. #16837995C22semidirect
177. #16837994C22semidirect
178. #16837994C22semidirect
179. #16837993C22semidirect
180. #16837991C22semidirect
181. #16837988C22semidirect
182. #16837986C22semidirect
183. #16837986C22semidirect
184. #16837985C22semidirect
185. #16837985C22semidirect
186. #16837984C22semidirect
187. #16837984C22semidirect
189. #16837981C22semidirect
191. #16837980C22semidirect
192. #16837978C22semidirect
193. #16837977C22semidirect
194. #16837975C22semidirect
195. #16837973C22semidirect
196. #16837971C22semidirect
199. #16837965C22semidirect
200. #16837959C22semidirect
201. #16837959C22semidirect
202. #16837959C22semidirect
203. #16837959C22semidirect
204. #16837959C22semidirect
205. #16837959C22semidirect
206. #16837959C22semidirect
207. #16837956C22semidirect
208. #16837956C22semidirect
215. #16837952C22semidirect
216. #16837949C22semidirect
217. #16837949C22semidirect
218. #16837949C22semidirect
219. #16837948C22semidirect
220. #16837939C22semidirect
221. #16837939C22semidirect
224. #16837936C22semidirect
225. #16837936C22semidirect
226. #16837936C22semidirect
227. #16837936C22semidirect
228. #16837936C22semidirect
229. #16837936C22semidirect
230. #16837936C22semidirect
231. #16837936C22semidirect
232. #16837936C22semidirect
233. #16837936C22semidirect
234. #16837936C22semidirect
235. #16837936C22semidirect
236. #16837936C22semidirect
237. #16837936C22semidirect
238. #16837934C22semidirect
239. #16837934C22semidirect
240. #16837934C22semidirect
241. #16837932C22semidirect
242. #16837932C22semidirect
243. #16837932C22semidirect
244. #16837930C22semidirect
245. #16837930C22semidirect
246. #16837930C22semidirect
247. #16837930C22semidirect
249. #16837913C22semidirect
250. #16837913C22semidirect
251. #16837913C22semidirect
252. #16837913C22semidirect
253. #16837913C22semidirect
254. #16837913C22semidirect
256. #16837911C22semidirect
257. #16837911C22semidirect
258. #16837909C22semidirect
259. C4×#11745689C22semidirect
261. C4×#11745685C22semidirect
262. C4×#11745685C22semidirect
263. C4×#11745685C22semidirect
264. C4×#11745685C22semidirect
265. C4×#11745685C22semidirect
266. C4×#11745685C22semidirect
267. C4×#11745685C22semidirect
268. C4×#11745685C22semidirect
269. #16837870C22semidirect
270. C4×#11745687C22semidirect
271. C2×C4×Dic118C22semidirect
272. C4×Q8×D59C22semidirect
273. C2×C4×D236C22semidirect
274. C4×D4×D59C22semidirect
275. #117×D59C22semidirect
276. C59×#533C22semidirect
277. C59×#533C22semidirect
278. C59×#533C22semidirect
284. C59×#529C22semidirect
285. C59×#529C22semidirect
286. C59×#529C22semidirect
287. C59×#529C22semidirect
288. C59×#529C22semidirect
289. C59×#529C22semidirect
291. C59×#525C22semidirect
292. C59×#525C22semidirect
293. C59×#525C22semidirect
295. C4×#41×C59C22semidirect
296. C4×#41×C59C22semidirect
297. C4×#41×C59C22semidirect
298. C22×C42×C59C22semidirect
1318. #3444D59semidirect
1503. #533C2×D59semidirect
1504. #533C2×D59semidirect
1505. #533C2×D59semidirect
1550. #529C2×D59semidirect
1551. #529C2×D59semidirect
1552. #529C2×D59semidirect
1553. #529C2×D59semidirect
1554. #529C2×D59semidirect
1555. #529C2×D59semidirect
1568. #525C2×D59semidirect
1569. #525C2×D59semidirect
1570. #525C2×D59semidirect
1584. C4×#41C2×D59semidirect
1585. C4×#41C2×D59semidirect
1586. C4×#41C2×D59semidirect
1592. C22×C42C2×D59semidirect
1593. C59#62762semidirect

Maximal subgroups

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

subgroupindex
#214387722
#214387642
#214387452
#214387412
#214386882
#214386842
#214385862
#214385842
#214385692
#214385672
#214384872
#214384852
#214384702
#214384682
#214383712
#214383642
#214383562
#214383522
#214382342
#214377222
#214377182
#214377112
#214377062
#214376892
#214376872
#214376602
#214376522
#214375272
#214375232
#214375122
#214375102
#214374792
#214373922
C59×#34442
#6276259