Finite Group Databasebeta

← #29497144

Subgroups — #29497144

Order 15104.

7104 conjugacy classes of subgroups.

The subgroup lattice has 2598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438191C211yesmaximal, characteristic, complemented
2#21438189C211yesmaximal, characteristic, complemented
3#21438146C211yesmaximal, characteristic, complemented
4#21438142C212yesmaximal, complemented
5#21438138C212yesmaximal, complemented
6#21438136C211yesmaximal, characteristic, complemented
7#21438106C212yesmaximal, complemented
8#21438063C214yesmaximal, complemented
9#21438061C212yesmaximal, complemented
10#21438002C212yesmaximal, complemented
11#21438000C211yesmaximal, characteristic, complemented
12#21437979C211yesmaximal, characteristic, complemented
13#21437974C212yesmaximal, complemented
14#21437907C211yesmaximal, characteristic, complemented
15#21437875C211yesmaximal, characteristic, complemented
16#21437841C212yesmaximal, complemented
17#21437839C214yesmaximal, complemented
18#21437770C212yesmaximal, complemented
19#21437714C211yesmaximal, characteristic, complemented
20#21437713C212yesmaximal, complemented
21#21437711C211yesmaximal, characteristic, complemented
22#21437711C211yesmaximal, characteristic, complemented
23#21437709C212yesmaximal, complemented
24#21437674C212yesmaximal, complemented
25#21437658C212yesmaximal, complemented
26#21437648C214yesmaximal, complemented
27#21437527C212yesmaximal, complemented
28#21437525C214yesmaximal, complemented
29#21437390C212yesmaximal, complemented
30#21437389C211yesmaximal, characteristic, complemented
31C2×#16837956C212yesmaximal, complemented
32#533×D59C211yesmaximal, characteristic, complemented
33C4×#14273774C212yesmaximal, complemented
34C4×#41×D59C211yesmaximal, characteristic, complemented
35C59×#3482C211yesmaximal, characteristic, complemented
36C2×#14273774C2212yes—
37C2×#41×D59C2211yescharacteristic
38#16838132C2212yescomplemented
39#16838130C2211yescharacteristic, complemented
40#16838130C2211yescharacteristic, complemented
41#16838129C2212yescomplemented
42#16838129C2214yescomplemented
43#16838128C2212yescomplemented
44#16838127C2211yescharacteristic, complemented
45#16838127C2212yescomplemented
46#16838126C2211yescharacteristic, complemented
47#16838125C2211yescharacteristic, complemented
48#16838125C2211yescharacteristic, complemented
49#16838124C2212yescomplemented
50#16838124C2214yescomplemented
51#16838124C2212yescomplemented
52#16838123C2212yescomplemented
53#16838121C2212yescomplemented
54#16838120C2212yescomplemented
55#16838120C2212yescomplemented
56#16838119C2214yescomplemented
57#16838119C2214yescomplemented
58#16838115C2212yescomplemented
59#16838114C2214yescomplemented
60#16838113C2212yes—
61#16838111C2212yescomplemented
62#16838110C2212yes—
63#16838110C2212yescomplemented
64#16838108C2214yes—
65#16838106C2214yes—
66#16838106C2214yescomplemented
67#16838106C2214yescomplemented
68#16838103C2214yescomplemented
69#16838101C2214yescomplemented
70#16838095C2214yescomplemented
71#16838094C2212yescomplemented
72#16838093C2212yes—
73#16838093C2212yescomplemented
74#16838093C2214yescomplemented
75#16838092C2212yescomplemented
76#16838092C2212yescomplemented
77#16838091C2212yes—
78#16838090C2212yescomplemented
79#16838089C2214yescomplemented
80#16838089C2214yescomplemented
81#16838088C2214yes—
82#16838088C2214yescomplemented
83#16838087C2212yescomplemented
84#16838087C2214yescomplemented
85#16838086C2212yescomplemented
86#16838085C2214yescomplemented
87#16838085C2214yescomplemented
88#16838085C2214yescomplemented
89#16838084C2214yes—
90#16838084C2214yescomplemented
91#16838084C2214yescomplemented
92#16838082C2214yes—
93#16838081C2214yes—
94#16838079C2214yes—
95#16838077C2214yes—
96#16838076C2214yes—
97#16838075C2214yes—
98D4×Dic118C2211yescharacteristic, complemented
99D4×Dic118C2211yescharacteristic, complemented
100#16838067C2212yes—
101#16838067C2211yescharacteristic, complemented
102Q8×C22⋊D59C2212yescomplemented
103#16838065C2212yes—
104#16838065C2212yescomplemented
105#16838065C2212yescomplemented
106#16838064C2212yescomplemented
107#16838063C2212yescomplemented
108#16838062C2212yes—
109#16838061C2212yes—
110#16838061C2212yescomplemented
111#16838060C2212yescomplemented
112#16838058C2212yescomplemented
113#16838056C2211yescharacteristic, complemented
114#16838056C2211yescharacteristic, complemented
115#16838055C2211yescharacteristic, complemented
116#16838054C2212yescomplemented
117#16838053C2214yes—
118#16838053C2212yescomplemented
119#16838052C2212yescomplemented
120#16838051C2212yes—
121#16838051C2212yescomplemented
122#16838051C2212yescomplemented
123#16838050C2214yes—
124#16838050C2214yescomplemented
125#16838047C2212yes—
126#16838044C2214yes—
127#16838041C2214yes—
128#16838040C2212yes—
129#16838031C2214yescomplemented
130#16838029C2212yescomplemented
131#16838026C2212yescomplemented
132#16838025C2212yescomplemented
133#16838022C2214yescomplemented
134#16838018C2214yescomplemented
135#16838018C2214yescomplemented
136#16838016C2214yescomplemented
137#16838016C2214yescomplemented
138#16838013C2212yescomplemented
139#16838012C2212yescomplemented
140#16838011C2214yescomplemented
141#16838011C2214yescomplemented
142#16838011C2214yescomplemented
143#16838009C2214yescomplemented
144#16838009C2214yescomplemented
145#16838001C2214yescomplemented
146#16838000C2214yescomplemented
147#16837998C2214yescomplemented
148#16837997C2214yescomplemented
149#16837996C2214yescomplemented
150#16837996C2214yescomplemented
151#16837982C2212yes—
152#16837979C2214yes—
153#16837977C2212yes—
154#16837975C2212yescomplemented
155#16837974C2214yes—
156#16837974C2214yescomplemented
157#16837959C2211yescharacteristic, complemented
158#16837958C2212yes—
159#16837958C2212yescomplemented
160#16837957C2211yescharacteristic
161#16837957C2211yescharacteristic
162#16837956C2214yes—
163#16837956C2212yes—
164#16837956C2212yes—
165#16837956C2212yes—
166#16837956C2212yes—
167#16837956C2211yescharacteristic
168#16837956C2214yes—
169#16837956C2212yescomplemented
170#16837956C2212yescomplemented
171#16837956C2212yescomplemented
172#16837956C2214yescomplemented
173#16837956C2212yescomplemented
174#16837956C2212yescomplemented
175#16837956C2211yescharacteristic, complemented
176#16837956C2214yescomplemented
177#16837956C2214yescomplemented
178#16837955C2214yescomplemented
179#16837955C2211yescharacteristic, complemented
180#16837955C2212yescomplemented
181#16837954C2212yescomplemented
182#16837954C2212yescomplemented
183#16837954C2212yescomplemented
184#16837951C2212yescomplemented
185#16837949C2211yescharacteristic
186#16837949C2211yescharacteristic, complemented
187#16837948C2211yescharacteristic, complemented
188#16837947C2212yescomplemented
189C2×#14273726C2212yescomplemented
190C2×#14273725C2212yescomplemented
191C4⋊Q8×D59C2211yescharacteristic, complemented
192C4⋊Q8×D59C2211yescharacteristic, complemented
193#16837939C2211yescharacteristic
194#16837939C2211yescharacteristic, complemented
195#16837939C2214yescomplemented
196#16837939C2212yescomplemented
197#16837937C2212yes—
198#16837936C2212yescomplemented
199#16837936C2212yescomplemented
200#16837936C2214yescomplemented
201#16837935C2214yes—
202#16837935C2214yescomplemented
203#16837934C2211yescharacteristic
204#16837934C2211yescharacteristic, complemented
205#16837932C2214yescomplemented
206#16837932C2214yescomplemented
207#16837932C2214yescomplemented
208#16837932C2212yescomplemented
209#16837932C2212yescomplemented
210#16837931C2212yes—
211#16837930C2212yes—
212#16837930C2214yescomplemented
213#16837930C2214yescomplemented
214#16837930C2214yescomplemented
215#16837930C2212yescomplemented
216#16837929C2214yescomplemented
217C2×#14273717C2214yescomplemented
218#125×D59C2212yescomplemented
219#16837915C2212yes—
220#16837914C2211yescharacteristic
221#16837912C2212yes—
222#16837911C2212yes—
223#16837911C2212yes—
224#16837911C2214yes—
225#16837910C2214yes—
226#16837909C2211yescharacteristic
227C2×#14273707C2212yes—
228C2×#14273705C2214yes—
229C2×#14273703C2212yes—
230C22⋊Q8×D59C2212yes—
231C22⋊Q8×D59C2212yes—
232#16837885C2212yescomplemented
233#16837882C2212yescomplemented
234#16837882C2214yescomplemented
235#16837881C2212yes—
236#16837881C2214yescomplemented
237#16837881C2212yescomplemented
238#16837881C2214yescomplemented
239#16837879C2214yescomplemented
240#16837879C2212yescomplemented
241#16837878C2212yescomplemented
242#16837878C2212yescomplemented
243#41×Dic59C2211yescharacteristic
244C4×#11745689C2211yescharacteristic
245C4×#11745689C2211yescharacteristic
246C4×#11745689C2212yescomplemented
247C4×#11745685C2212yes—
248C4×#11745685C2211yescharacteristic
249C4×#11745685C2212yes—
250C4×#11745685C2211yescharacteristic, complemented
251C4×#11745685C2214yescomplemented
252C4×#11745685C2212yescomplemented
253#16837870C2212yes—
254#16837870C2211yescharacteristic
255#16837870C2214yes—
256C4×#11745687C2212yes—
257C4×#11745687C2212yes—
258C4×#11745687C2211yescharacteristic
259C4×#11745687C2211yescharacteristic
260C4×#11745687C2212yescomplemented
261C4×#11745687C2214yescomplemented
262C4×#11745687C2212yescomplemented
263C4×#11745687C2214yescomplemented
264C2×C4×Dic118C2212yescomplemented
265C2×C4×Dic118C2212yescomplemented
266C2×C4×Dic118C2214yescomplemented
267C4×Q8×D59C2211yescharacteristic
268C4×Q8×D59C2211yescharacteristic
269C4×Q8×D59C2212yescomplemented
270C4×Q8×D59C2212yescomplemented
271C4×Q8×D59C2212yescomplemented
272C4×D4×D59C2211yescharacteristic
273C4×D4×D59C2212yes—
274C4×D4×D59C2212yes—
275C4×D4×D59C2211yescharacteristic
276C2×#14273684C2214yes—
277#117×D59C2212yes—
278#117×D59C2211yescharacteristic
279#117×D59C2212yes—
280C2×C42×D59C2211yescharacteristic
281C2×C42×D59C2212yes—
282C59×#557C2211yescharacteristic, complemented
283C59×#556C2211yescharacteristic, complemented
284C59×#556C2212yescomplemented
285C59×#552C2212yescomplemented
286C59×#552C2214yescomplemented
287D4×Q8×C59C2211yescharacteristic, complemented
288C59×#548C2212yescomplemented
289C59×#547C2212yes—
290C59×#547C2211yescharacteristic, complemented
291C59×#533C2211yescharacteristic, complemented
292C59×#533C2212yescomplemented
293C59×#529C2212yescomplemented
294C59×#529C2214yescomplemented
295C4×#41×C59C2211yescharacteristic
296C4×#41×C59C2211yescharacteristic, complemented
297C4×#41×C59C2212yescomplemented
298C2×C4×Q8×C59C2212yescomplemented
299#14273774—216no—
300C2×#11745689C2311yescharacteristic
301C2×#11745689C2312yes—
302C2×#11745685C2312yes—
303C2×#11745685C2312yes—
304C2×#11745685C2312yes—
305C2×#11745685C2311yescharacteristic
306C2×#11745685C2314yes—
307C2×#11745685C2311yescharacteristic
308C2×#11745687C2314yes—
309C2×#11745687C2312yes—
310C2×#11745687C2314yes—
311C2×#11745687C2312yes—
312C2×#11745687C2312yes—
313C2×#11745687C2311yescharacteristic
314#41×D59—28no—
315C22×Dic118C2314yes—
316C22×Dic118C2312yes—
317C22×Dic118C2312yes—
318C2×Q8×D59C2312yes—
319C2×Q8×D59C2311yescharacteristic
320C2×Q8×D59C2312yes—
321C2×Q8×D59C2312yes—
322C2×D4×D59C2311yescharacteristic
323C2×D4×D59C2312yes—
324C22×C4×D59C2311yescharacteristic
325C22×C4×D59C2312yes—
326C22×C4×D59C2311yescharacteristic
327C22×C4×D59C2312yes—
328C22×C4×D59C2311yescharacteristic
329C22×C4×D59C2312yes—
330#14273727C2311yescharacteristic
331#14273727C2311yescharacteristic
332#14273726C2312yes—
333#14273726C2312yes—
334#14273726C2312yes—
335#14273726C2312yes—
336#14273726C2311yescharacteristic
337#14273726C2314yes—
338#14273726C2314yes—
339#14273726C2312yes—
340#14273726C2312yes—
341#14273726C2311yescharacteristic
342#14273726C2314yes—
343#14273726C2314yes—
344#14273726C2314yes—
345#14273726C2312yes—
346#14273725C2312yes—
347#14273725C2312yes—
348#14273725C2311yescharacteristic
349#14273725C2314yes—
350#14273725C2312yes—
351#14273725C2312yes—
352#14273725C2314yes—
353#14273725C2312yes—
354#14273725C2314yes—
355#14273723C2311yescharacteristic
356#14273722C2314yes—
357#14273722C2312yes—
358#14273722C2312yes—
359#14273722C2314yes—
360#14273722C2314yes—
361#14273722C2314yes—
362#14273722C2314yes—
363#14273722C2314yes—
364#14273722C2314yes—
365#14273722C2314yes—
366#14273722C2314yes—
367#14273721C2314yes—
368#14273721C2314yes—
369#14273721C2314yes—
370#14273721C2314yes—
371#14273720C2314yes—
372#14273720C2312yes—
373#14273720C2312yes—
374#14273720C2314yes—
375#14273720C2314yes—
376#14273720C2314yes—
377#14273720C2314yes—
378#14273720C2314yes—
379#14273719C2312yes—
380#14273719C2312yes—
381#14273719C2314yes—
382#14273719C2312yes—
383#14273718C2312yes—
384#14273718C2312yes—
385#14273718C2311yescharacteristic
386#14273718C2311yescharacteristic
387#14273718C2314yes—
388#14273718C2312yes—
389#14273718C2314yes—
390#14273718C2314yes—
391#14273717C2314yes—
392#14273717C2314yes—
393#14273717C2312yes—
394#14273717C2314yes—
395#14273717C2314yes—
396#14273717C2314yes—
397#14273717C2314yes—
398#14273717C2314yes—
399#14273717C2314yes—
400#14273717C2312yes—
401#14273717C2314yes—
402#14273717C2314yes—
403#14273717C2314yes—
404#14273717C2314yes—
405#14273717C2314yes—
406#14273717C2314yes—
407#14273717C2314yes—
408#14273717C2314yes—
409#14273717C2314yes—
410#14273716C2311yescharacteristic
411#14273716C2312yes—
412#14273716C2314yes—
413#14273715C2312yes—
414#14273715C2312yes—
415#14273715C2314yes—
416#14273714C2311yescharacteristic
417#14273713C2312yes—
418#14273713C2312yes—
419#14273713C2314yes—
420#14273713C2314yes—
421#14273713C2314yes—
422#14273713C2314yes—
423#14273713C2314yes—
424#14273713C2314yes—
425#14273712C2312yes—
426#14273712C2312yes—
427#14273712C2314yes—
428#14273712C2314yes—
429#14273712C2314yes—
430#14273712C2314yes—
431#14273712C2314yes—
432#14273712C2314yes—
433#14273712C2314yes—
434#14273711C2312yes—
435#14273711C2314yes—
436#14273711C2314yes—
437#14273711C2314yes—
438#14273710C2314yes—
439#14273710C2314yes—
440#14273710C2314yes—
441#14273710C2314yes—
442#14273709C2312yes—
443#14273709C2312yes—
444#14273709C2314yes—
445#14273709C2314yes—
446#14273709C2314yes—
447#14273709C2314yes—
448#14273708C2312yes—
449#14273708C2314yes—
450#14273708C2314yes—
451#14273708C2314yes—
452#14273707C2312yes—
453#14273707C2312yes—
454#14273707C2311yescharacteristic
455#14273707C2314yes—
456#14273707C2314yes—
457#14273707C2312yes—
458#14273707C2312yes—
459#14273707C2311yescharacteristic
460#14273707C2312yes—
461#14273707C2314yes—
462#14273706C2312yes—
463#14273706C2312yes—
464#14273706C2312yes—
465#14273706C2312yes—
466#14273706C2314yes—
467#14273705C2314yes—
468#14273705C2314yes—
469#14273705C2312yes—
470#14273705C2314yes—
471#14273705C2314yes—
472#14273705C2314yes—
473#14273705C2314yes—
474#14273705C2314yes—
475#14273705C2314yes—
476#14273705C2314yes—
477#14273705C2312yes—
478#14273705C2314yes—
479#14273705C2314yes—
480#14273705C2314yes—
481#14273705C2314yes—
482#14273705C2314yes—
483#14273705C2314yes—
484#14273704C2314yes—
485#14273704C2314yes—
486#14273704C2314yes—
487#14273704C2312yes—
488#14273704C2312yes—
489#14273704C2314yes—
490#14273704C2314yes—
491#14273704C2314yes—
492#14273704C2314yes—
493#14273704C2314yes—
494#14273704C2314yes—
495#14273704C2314yes—
496#14273703C2312yes—
497#14273703C2312yes—
498#14273703C2311yescharacteristic
499#14273703C2314yes—
500#14273703C2314yes—
501#14273703C2312yes—
502#14273703C2312yes—
503#14273703C2311yescharacteristic
504#14273703C2312yes—
505#14273703C2314yes—
506#14273703C2312yes—
507#14273703C2314yes—
508#14273702C2311yescharacteristic
509#14273702C2311yescharacteristic
510#14273702C2314yes—
511#14273702C2312yes—
512#14273701C2312yes—
513#14273701C2314yes—
514#14273701C2312yes—
515#14273700C2312yes—
516#14273700C2314yes—
517#14273700C2312yes—
518#14273700C2314yes—
519#14273700C2314yes—
520#14273700C2314yes—
521#14273699C2314yes—
522#14273699C2312yes—
523#14273699C2312yes—
524#14273699C2314yes—
525#14273699C2314yes—
526#14273699C2314yes—
527#14273698C2311yescharacteristic
528#14273698C2311yescharacteristic
529#14273697C2314yes—
530#14273697C2312yes—
531#14273695C2312yes—
532#14273695C2314yes—
533Q8×Dic59C2312yes—
534Q8×Dic59C2312yes—
535Q8×Dic59C2312yes—
536Q8×Dic59C2311yescharacteristic
537Q8×Dic59C2312yes—
538Q8×Dic59C2311yescharacteristic
539C4×Dic118C2312yes—
540C4×Dic118C2314yes—
541C4×Dic118C2314yes—
542C4×Dic118C2314yes—
543C4×Dic118C2312yes—
544C4×Dic118C2314yes—
545C4×Dic118C2314yes—
546C4×Dic118C2312yes—
547C4×Dic118C2312yes—
548C4×Dic118C2311yescharacteristic
549C4×Dic118C2311yescharacteristic
550C4×Dic118C2312yes—
551C4×Dic118C2312yes—
552C4×Dic118C2312yes—
553C4×Dic118C2314yes—
554C4×Dic118C2314yes—
555C4×Dic118C2314yes—
556C4×Dic118C2314yes—
557C4×Dic118C2312yes—
558C4×Dic118C2312yes—
559C4×Dic118C2314yes—
560C4×Dic118C2312yes—
561C4×Dic118C2311yescharacteristic
562C4×Dic118C2314yes—
563C4×Dic118C2314yes—
564C4×Dic118C2312yes—
565C4×Dic118C2311yescharacteristic
566C4×Dic118C2312yes—
567#14273692C2314yes—
568#14273692C2314yes—
569#14273692C2314yes—
570#14273692C2312yes—
571#14273692C2312yes—
572#14273692C2312yes—
573#14273692C2314yes—
574#14273692C2314yes—
575#14273692C2312yes—
576#14273692C2312yes—
577#14273692C2311yescharacteristic
578#14273692C2314yes—
579#14273692C2314yes—
580#14273692C2312yes—
581#14273692C2312yes—
582#14273692C2311yescharacteristic
583C4×D236C2314yes—
584C4×D236C2312yes—
585C4×D236C2312yes—
586C4×D236C2312yes—
587C4×D236C2312yes—
588C4×D236C2312yes—
589C4×D236C2311yescharacteristic
590C4×D236C2311yescharacteristic
591C4×D236C2311yescharacteristic
592C4×D236C2311yescharacteristic
593C4×D236C2312yes—
594C4×D236C2314yes—
595D4×Dic59C2314yes—
596D4×Dic59C2312yes—
597D4×Dic59C2312yes—
598D4×Dic59C2312yes—
599D4×Dic59C2311yescharacteristic
600D4×Dic59C2314yes—
601D4×Dic59C2312yes—
602D4×Dic59C2311yescharacteristic
603#14273689C2314yes—
604#14273689C2314yes—
605#14273689C2314yes—
606#14273689C2312yes—
607#14273689C2312yes—
608#14273689C2311yescharacteristic
609#14273689C2312yes—
610#14273689C2311yescharacteristic
611C4×C22⋊D59C2312yes—
612C4×C22⋊D59C2312yes—
613C4×C22⋊D59C2312yes—
614C4×C22⋊D59C2314yes—
615C4×C22⋊D59C2312yes—
616C4×C22⋊D59C2314yes—
617C4×C22⋊D59C2312yes—
618C4×C22⋊D59C2312yes—
619C4×C22⋊D59C2312yes—
620C4×C22⋊D59C2312yes—
621C4×C22⋊D59C2312yes—
622C4×C22⋊D59C2312yes—
623C4×C22⋊D59C2312yes—
624C4×C22⋊D59C2312yes—
625C4×C22⋊D59C2314yes—
626C4×C22⋊D59C2312yes—
627C4×C22⋊D59C2312yes—
628C4×C22⋊D59C2312yes—
629C4×C22⋊D59C2314yes—
630C4×C22⋊D59C2312yes—
631(C22⋊D59)⋊C4C2314yes—
632(C22⋊D59)⋊C4C2314yes—
633(C22⋊D59)⋊C4C2314yes—
634(C22⋊D59)⋊C4C2314yes—
635(C22⋊D59)⋊C4C2314yes—
636(C22⋊D59)⋊C4C2314yes—
637(C22⋊D59)⋊C4C2314yes—
638(C22⋊D59)⋊C4C2312yes—
639(C22⋊D59)⋊C4C2312yes—
640(C22⋊D59)⋊C4C2314yes—
641(C22⋊D59)⋊C4C2312yes—
642(C22⋊D59)⋊C4C2314yes—
643(C22⋊D59)⋊C4C2314yes—
644(C22⋊D59)⋊C4C2312yes—
645(C22⋊D59)⋊C4C2312yes—
646(C22⋊D59)⋊C4C2312yes—
647#14273686C2311yescharacteristic
648#14273686C2312yes—
649#14273686C2312yes—
650#14273686C2312yes—
651#14273686C2314yes—
652#14273686C2311yescharacteristic
653#14273686C2312yes—
654#14273685C2312yes—
655#14273685C2312yes—
656#14273685C2314yes—
657#14273685C2314yes—
658#14273685C2312yes—
659#14273685C2312yes—
660#14273685C2311yescharacteristic
661#14273685C2312yes—
662#14273685C2312yes—
663#14273685C2314yes—
664#14273685C2312yes—
665#14273685C2311yescharacteristic
666#14273684C2314yes—
667#14273684C2312yes—
668#14273684C2312yes—
669#14273684C2312yes—
670#14273684C2314yes—
671#14273684C2314yes—
672#14273684C2314yes—
673#14273684C2312yes—
674#14273684C2312yes—
675#14273684C2314yes—
676#14273684C2314yes—
677#14273684C2314yes—
678#14273684C2314yes—
679#14273684C2314yes—
680#14273684C2314yes—
681#14273684C2312yes—
682#14273684C2312yes—
683#14273684C2312yes—
684#14273683C2314yes—
685#14273683C2314yes—
686#14273683C2314yes—
687#14273683C2314yes—
688#14273683C2312yes—
689#14273683C2312yes—
690#14273683C2314yes—
691#14273683C2314yes—
692#14273683C2314yes—
693#14273683C2312yes—
694C2×C4⋊Dic59C2312yes—
695C2×C4⋊Dic59C2314yes—
696C2×C4⋊Dic59C2312yes—
697C2×Dic59⋊C4C2314yes—
698C2×Dic59⋊C4C2314yes—
699C2×Dic59⋊C4C2314yes—
700C2×Dic59⋊C4C2314yes—
701C2×Dic59⋊C4C2314yes—
702C2×Dic59⋊C4C2314yes—
703C4⋊C4×D59C2314yes—
704C4⋊C4×D59C2314yes—
705C4⋊C4×D59C2312yes—
706C4⋊C4×D59C2312yes—
707C4⋊C4×D59C2312yes—
708C4⋊C4×D59C2312yes—
709C4⋊C4×D59C2314yes—
710C4⋊C4×D59C2312yes—
711C4⋊C4×D59C2312yes—
712C4⋊C4×D59C2311yescharacteristic
713C4⋊C4×D59C2312yes—
714C4⋊C4×D59C2311yescharacteristic
715C2×(C2×D59)⋊C4C2314yes—
716C2×(C2×D59)⋊C4C2314yes—
717C22⋊C4×D59C2314yes—
718C22⋊C4×D59C2312yes—
719C22⋊C4×D59C2312yes—
720C22⋊C4×D59C2312yes—
721C2×C4×Dic59C2312yes—
722C2×C4×Dic59C2311yescharacteristic
723C2×C4×Dic59C2311yescharacteristic
724C2×C4×Dic59C2314yes—
725C2×C4×Dic59C2314yes—
726C2×C4×Dic59C2312yes—
727C2×C4×Dic59C2311yescharacteristic
728C2×C4×Dic59C2312yes—
729C42×D59C2311yescharacteristic
730C42×D59C2311yescharacteristic
731C42×D59C2312yes—
732C42×D59C2314yes—
733C42×D59C2314yes—
734C42×D59C2312yes—
735C42×D59C2311yescharacteristic
736C42×D59C2311yescharacteristic
737C42×D59C2312yes—
738C42×D59C2312yes—
739C42×D59C2312yes—
740C42×D59C2311yescharacteristic
741C42×D59C2311yescharacteristic
742C42×D59C2312yes—
743C42×D59C2312yes—
744C42×D59C2311yescharacteristic
745C42×D59C2312yes—
746C42×D59C2311yescharacteristic
747C2×#41×C59C2311yescharacteristic
748C2×#41×C59C2312yes—
749C2×#41×C59C2311yescharacteristic
750C22×Q8×C59C2312yes—
751C4⋊Q8×C59C2311yescharacteristic
752C4⋊Q8×C59C2311yescharacteristic
753C4⋊Q8×C59C2312yes—
754C4⋊Q8×C59C2312yes—
755#126×C59C2314yes—
756#126×C59C2314yes—
757#126×C59C2314yes—
758#125×C59C2312yes—
759#125×C59C2312yes—
760#125×C59C2314yes—
761#125×C59C2314yes—
762#124×C59C2312yes—
763#124×C59C2314yes—
764#123×C59C2314yes—
765#123×C59C2314yes—
766#123×C59C2314yes—
767C22⋊Q8×C59C2312yes—
768C22⋊Q8×C59C2312yes—
769C22⋊Q8×C59C2312yes—
770C22⋊Q8×C59C2312yes—
771C22⋊Q8×C59C2312yes—
772C22⋊Q8×C59C2314yes—
773C22⋊Q8×C59C2314yes—
774#121×C59C2312yes—
775#121×C59C2314yes—
776C4×Q8×C59C2311yescharacteristic
777C4×Q8×C59C2311yescharacteristic
778C4×Q8×C59C2314yes—
779C4×Q8×C59C2312yes—
780C4×Q8×C59C2312yes—
781C4×Q8×C59C2312yes—
782C4×Q8×C59C2312yes—
783C4×Q8×C59C2314yes—
784C4×Q8×C59C2311yescharacteristic
785C4×Q8×C59C2311yescharacteristic
786C4×Q8×C59C2312yes—
787C4×D4×C59C2312yes—
788C4×D4×C59C2312yes—
789C4×D4×C59C2314yes—
790C4×D4×C59C2312yes—
791C4×D4×C59C2311yescharacteristic
792C4×D4×C59C2311yescharacteristic
793C4×D4×C59C2312yes—
794C4×D4×C59C2311yescharacteristic
795C4×D4×C59C2312yes—
796C4×D4×C59C2311yescharacteristic
797C4×D4×C59C2314yes—
798#117×C59C2311yescharacteristic
799#117×C59C2312yes—
800#117×C59C2312yes—
801#117×C59C2314yes—
802#117×C59C2312yes—
803#117×C59C2311yescharacteristic
804#117×C59C2314yes—
805#117×C59C2312yes—
806C2×C4⋊C4×C59C2314yes—
807C2×C4⋊C4×C59C2312yes—
808C2×C42×C59C2312yes—
809C2×C42×C59C2314yes—
810C2×C42×C59C2312yes—
811C2×C42×C59C2311yescharacteristic
812C23×D59C2411yescharacteristic
813C23×D59C2412yes—
814#41×C59—24no—
815#41×C59—28no—
816#41×C59—42no—
817C2×Q8×C59—44no—
818C2×Q8×C59C2411yescharacteristic
819C2×Q8×C59C2412yes—
820C2×Q8×C59C2412yes—
821C2×Q8×C59C2411yescharacteristic
822C2×Q8×C59C2414yes—
823C2×D4×C59C2414yes—
824C2×D4×C59C2412yes—
825C2×D4×C59C2411yescharacteristic
826C2×D4×C59C2412yes—
827C2×D4×C59C2411yescharacteristic
828C22×C4×C59C2412yes—
829C22×C4×C59C2412yes—
830C22×C4×C59C2414yes—
831C22×C4×C59C2412yes—
832C22×C4×C59C2412yes—
833C22×C4×C59C2411yescharacteristic
834C22×C4×C59C2411yescharacteristic
835C22×C4×C59C2411yescharacteristic
836C22×C4×C59C2412yes—
837C22×C4×C59C2414yes—
838C22×C4×C59C2412yes—
839C2×C22⋊D59C2412yes—
840C2×C22⋊D59C2412yes—
841C2×C22⋊D59C2412yes—
842C2×C22⋊D59C2414yes—
843C2×C22⋊D59C2412yes—
844C2×C22⋊D59C2412yes—
845C2×C22⋊D59C2412yes—
846C2×C22⋊D59C2414yes—
847C2×C22⋊D59C2412yes—
848C2×C22⋊D59C2412yes—
849C22×Dic59C2412yes—
850C22×Dic59C2411yescharacteristic
851C22×Dic59C2411yescharacteristic
852C22×Dic59C2414yes—
853C22×Dic59C2414yes—
854C22×Dic59C2412yes—
855C22×Dic59C2411yescharacteristic
856C22×Dic59C2414yes—
857C22×Dic59C2414yes—
858C22×Dic59C2412yes—
859#11745689—24no—
860#11745689—44no—
861Q8×D59—28no—
862Q8×D59—24no—
863Q8×D59—28no—
864Q8×D59—44no—
865#11745687—28no—
866#11745687—216no—
867#11745687—28no—
868#11745687—216no—
869#11745687—44no—
870#11745687#4118yescomplemented
871D4×D59—24no—
872D4×D59—28no—
873#11745685—28no—
874#11745685—216no—
875#11745685—28no—
876#11745685—28no—
877#11745685—24no—
878#11745685—42no—
879C2×D236C2412yes—
880C2×D236C2412yes—
881C2×D236C2411yescharacteristic
882C2×D236C2411yescharacteristic
883C2×D236C2412yes—
884C2×D236C2414yes—
885C2×C4×D59—28no—
886C2×C4×D59—24no—
887C2×C4×D59—24no—
888C2×C4×D59—28no—
889C2×C4×D59—44no—
890C2×C4×D59—42no—
891C2×C4×D59C2411yescharacteristic
892C2×C4×D59C2411yescharacteristic
893C2×C4×D59C2411yescharacteristic
894C2×C4×D59C2412yes—
895C2×C4×D59C2412yes—
896C2×C4×D59C2411yescharacteristic
897C2×C4×D59C2411yescharacteristic
898C2×C4×D59C2411yescharacteristic
899C2×C4×D59C2412yes—
900C2×C4×D59C2411yescharacteristic
901C2×C4×D59C2411yescharacteristic
902C2×C4×D59C2412yes—
903C2×C4×D59C2412yes—
904C2×C4×D59C2412yes—
905C2×C4×D59C2412yes—
906C2×C4×D59C2412yes—
907C2×C4×D59C2414yes—
908C2×C4×D59C2414yes—
909C2×C4×D59C2412yes—
910C2×C4×D59C2412yes—
911C2×C4×D59C2411yescharacteristic
912C2×C4×D59C2411yescharacteristic
913C2×C4×D59C2412yes—
914C2×C4×D59C2414yes—
915C2×C4×D59C2412yes—
916C2×C4×D59C2414yes—
917C2×C4×D59C2411yescharacteristic
918C2×C4×D59C2411yescharacteristic
919C2×Dic118—216no—
920C2×Dic118—28no—
921C2×Dic118—44no—
922C2×Dic118C2412yes—
923C2×Dic118C2412yes—
924C2×Dic118C2414yes—
925C2×Dic118C2414yes—
926C2×Dic118C2412yes—
927C2×Dic118C2412yes—
928C2×Dic118C2412yes—
929C2×Dic118C2414yes—
930C2×Dic118C2411yescharacteristic
931C2×Dic118C2414yes—
932C2×Dic118C2414yes—
933C2×Dic118C2411yescharacteristic
934C4⋊C4×C59C2411yescharacteristic
935C4⋊C4×C59C2412yes—
936C4⋊C4×C59C2412yes—
937C4⋊C4×C59C2414yes—
938C4⋊C4×C59C2414yes—
939C4⋊C4×C59C2414yes—
940C4⋊C4×C59C2414yes—
941C4⋊C4×C59C2411yescharacteristic
942C4⋊C4×C59C2414yes—
943C4⋊C4×C59C2412yes—
944C4⋊C4×C59C2411yescharacteristic
945C4⋊C4×C59C2412yes—
946C4⋊C4×C59C2412yes—
947C4⋊C4×C59C2411yescharacteristic
948C4⋊C4×C59C2412yes—
949C4⋊C4×C59C2414yes—
950C4⋊C4×C59C2412yes—
951C4⋊C4×C59C2414yes—
952C4⋊C4×C59C2412yes—
953C4⋊C4×C59C2414yes—
954C22⋊C4×C59C2412yes—
955C22⋊C4×C59C2412yes—
956C22⋊C4×C59C2414yes—
957C22⋊C4×C59C2412yes—
958C22⋊C4×C59C2412yes—
959C22⋊C4×C59C2412yes—
960C22⋊C4×C59C2412yes—
961C22⋊C4×C59C2414yes—
962C22⋊C4×C59C2414yes—
963C22⋊C4×C59C2414yes—
964C22⋊C4×C59C2414yes—
965C42×C59C2411yescharacteristic
966C42×C59C2411yescharacteristic
967C42×C59C2412yes—
968C42×C59C2411yescharacteristic
969C42×C59C2412yes—
970C42×C59C2414yes—
971C42×C59C2412yes—
972C42×C59C2412yes—
973C42×C59C2414yes—
974C42×C59C2411yescharacteristic
975C42×C59C2412yes—
976C42×C59C2412yes—
977C42×C59C2414yes—
978C22⋊Dic59C2412yes—
979C22⋊Dic59C2412yes—
980C22⋊Dic59C2412yes—
981C22⋊Dic59C2414yes—
982C22⋊Dic59C2414yes—
983C22⋊Dic59C2412yes—
984C22⋊Dic59C2412yes—
985C22⋊Dic59C2414yes—
986C22⋊Dic59C2412yes—
987C22⋊Dic59C2412yes—
988C22⋊Dic59C2412yes—
989(C2×D59)⋊C4C2414yes—
990(C2×D59)⋊C4C2414yes—
991(C2×D59)⋊C4C2412yes—
992(C2×D59)⋊C4C2412yes—
993(C2×D59)⋊C4C2412yes—
994(C2×D59)⋊C4C2412yes—
995(C2×D59)⋊C4C2412yes—
996(C2×D59)⋊C4C2412yes—
997(C2×D59)⋊C4C2412yes—
998(C2×D59)⋊C4C2412yes—
999(C2×D59)⋊C4C2414yes—
1000(C2×D59)⋊C4C2414yes—
1001(C2×D59)⋊C4C2414yes—
1002(C2×D59)⋊C4C2414yes—
1003(C2×D59)⋊C4C2412yes—
1004(C2×D59)⋊C4C2412yes—
1005(C2×D59)⋊C4C2412yes—
1006(C2×D59)⋊C4C2414yes—
1007(C2×D59)⋊C4C2412yes—
1008(C2×D59)⋊C4C2412yes—
1009(C2×D59)⋊C4C2414yes—
1010(C2×D59)⋊C4C2414yes—
1011(C2×D59)⋊C4C2412yes—
1012(C2×D59)⋊C4C2412yes—
1013(C2×D59)⋊C4C2412yes—
1014(C2×D59)⋊C4C2414yes—
1015(C2×D59)⋊C4C2414yes—
1016(C2×D59)⋊C4C2414yes—
1017C4⋊Dic59C2411yescharacteristic
1018C4⋊Dic59C2412yes—
1019C4⋊Dic59C2412yes—
1020C4⋊Dic59C2414yes—
1021C4⋊Dic59C2414yes—
1022C4⋊Dic59C2411yescharacteristic
1023C4⋊Dic59C2412yes—
1024C4⋊Dic59C2412yes—
1025C4⋊Dic59C2412yes—
1026C4⋊Dic59C2412yes—
1027C4⋊Dic59C2414yes—
1028C4⋊Dic59C2411yescharacteristic
1029C4⋊Dic59C2412yes—
1030C4⋊Dic59C2414yes—
1031C4⋊Dic59C2414yes—
1032C4⋊Dic59C2411yescharacteristic
1033C4⋊Dic59C2414yes—
1034C4⋊Dic59C2412yes—
1035C4⋊Dic59C2412yes—
1036C4⋊Dic59C2412yes—
1037Dic59⋊C4C2412yes—
1038Dic59⋊C4C2414yes—
1039Dic59⋊C4C2414yes—
1040Dic59⋊C4C2414yes—
1041Dic59⋊C4C2414yes—
1042Dic59⋊C4C2414yes—
1043Dic59⋊C4C2414yes—
1044Dic59⋊C4C2414yes—
1045Dic59⋊C4C2414yes—
1046Dic59⋊C4C2412yes—
1047Dic59⋊C4C2412yes—
1048Dic59⋊C4C2412yes—
1049Dic59⋊C4C2412yes—
1050Dic59⋊C4C2412yes—
1051Dic59⋊C4C2414yes—
1052Dic59⋊C4C2414yes—
1053Dic59⋊C4C2412yes—
1054Dic59⋊C4C2412yes—
1055Dic59⋊C4C2412yes—
1056Dic59⋊C4C2414yes—
1057Dic59⋊C4C2412yes—
1058Dic59⋊C4C2414yes—
1059Dic59⋊C4C2412yes—
1060Dic59⋊C4C2414yes—
1061Dic59⋊C4C2414yes—
1062Dic59⋊C4C2414yes—
1063Dic59⋊C4C2414yes—
1064Dic59⋊C4C2414yes—
1065Dic59⋊C4C2414yes—
1066Dic59⋊C4C2412yes—
1067Dic59⋊C4C2412yes—
1068Dic59⋊C4C2414yes—
1069Dic59⋊C4C2414yes—
1070Dic59⋊C4C2414yes—
1071Dic59⋊C4C2414yes—
1072Dic59⋊C4C2412yes—
1073Dic59⋊C4C2412yes—
1074Dic59⋊C4C2412yes—
1075C4×Dic59C2411yescharacteristic
1076C4×Dic59C2412yes—
1077C4×Dic59C2411yescharacteristic
1078C4×Dic59C2411yescharacteristic
1079C4×Dic59C2412yes—
1080C4×Dic59C2412yes—
1081C4×Dic59C2412yes—
1082C4×Dic59C2411yescharacteristic
1083C4×Dic59C2412yes—
1084C4×Dic59C2411yescharacteristic
1085C4×Dic59C2411yescharacteristic
1086C4×Dic59C2411yescharacteristic
1087C4×Dic59C2411yescharacteristic
1088C4×Dic59C2412yes—
1089C4×Dic59C2411yescharacteristic
1090C4×Dic59C2412yes—
1091C4×Dic59C2411yescharacteristic
1092C4×Dic59C2412yes—
1093C4×Dic59C2411yescharacteristic
1094C4×Dic59C2411yescharacteristic
1095C4×Dic59C2412yes—
1096C4×Dic59C2414yes—
1097C4×Dic59C2412yes—
1098C4×Dic59C2414yes—
1099C4×Dic59C2412yes—
1100C4×Dic59C2414yes—
1101C4×Dic59C2414yes—
1102C4×Dic59C2414yes—
1103C4×Dic59C2412yes—
1104C4×Dic59C2414yes—
1105C4×Dic59C2414yes—
1106C4×Dic59C2414yes—
1107C4×Dic59C2414yes—
1108C23×C59C2511yescharacteristic
1109C23×C59C2512yes—
1110C23×C59C2512yes—
1111C22×D59—24no—
1112C22×D59—22no—
1113C22×D59—22no—
1114C22×D59—24no—
1115C22×D59—41no—
1116C22×D59—42no—
1117C22×D59C2512yes—
1118C22×D59C2512yes—
1119C22×D59C2511yescharacteristic
1120C22×D59C2511yescharacteristic
1121Q8×C59—24no—
1122Q8×C59—22no—
1123Q8×C59—24no—
1124Q8×C59—22no—
1125Q8×C59—44no—
1126D4×C59—24no—
1127D4×C59—28no—
1128D4×C59—22no—
1129D4×C59—42no—
1130D4×C59C2×#4114yes—
1131C2×C4×C59—28no—
1132C2×C4×C59—24no—
1133C2×C4×C59—24no—
1134C2×C4×C59—22no—
1135C2×C4×C59—24no—
1136C2×C4×C59—22no—
1137C2×C4×C59—24no—
1138C2×C4×C59—24no—
1139C2×C4×C59—22no—
1140C2×C4×C59—44no—
1141C2×C4×C59—42no—
1142C2×C4×C59C2512yes—
1143C2×C4×C59C2511yescharacteristic
1144C2×C4×C59C2511yescharacteristic
1145C2×C4×C59C2512yes—
1146C2×C4×C59C2514yes—
1147C2×C4×C59C2512yes—
1148C2×C4×C59C2511yescharacteristic
1149C2×C4×C59C2512yes—
1150C2×C4×C59C2514yes—
1151C2×C4×C59C2512yes—
1152C2×C4×C59C2512yes—
1153C2×C4×C59C2511yescharacteristic
1154C2×C4×C59C2511yescharacteristic
1155C2×C4×C59C2511yescharacteristic
1156C22⋊D59—24no—
1157C22⋊D59—28no—
1158C22⋊D59—24no—
1159C22⋊D59—24no—
1160C22⋊D59—24no—
1161C22⋊D59—24no—
1162C22⋊D59—24no—
1163C22⋊D59—42no—
1164C22⋊D59—44no—
1165C22⋊D59C2×#4118yes—
1166C2×Dic59—28no—
1167C2×Dic59—28no—
1168C2×Dic59—22no—
1169C2×Dic59—24no—
1170C2×Dic59—22no—
1171C2×Dic59—44no—
1172C2×Dic59—41no—
1173C2×Dic59—42no—
1174C2×Dic59—44no—
1175C2×Dic59C2×#4118yes—
1176C2×Dic59C2511yescharacteristic
1177C2×Dic59C2511yescharacteristic
1178C2×Dic59C2512yes—
1179C2×Dic59C2512yes—
1180C2×Dic59C2512yes—
1181C2×Dic59C2511yescharacteristic
1182C2×Dic59C2514yes—
1183C2×Dic59C2512yes—
1184C2×Dic59C2514yes—
1185C2×Dic59C2512yes—
1186C2×Dic59C2511yescharacteristic
1187C2×Dic59C2511yescharacteristic
1188C2×Dic59C2512yes—
1189C2×Dic59C2511yescharacteristic
1190D236—24no—
1191D236—24no—
1192D236—24no—
1193D236—22no—
1194D236—22no—
1195D236—44no—
1196C4×D59—22no—
1197C4×D59—28no—
1198C4×D59—24no—
1199C4×D59—22no—
1200C4×D59—22no—
1201C4×D59—24no—
1202C4×D59—22no—
1203C4×D59—24no—
1204C4×D59—24no—
1205C4×D59—22no—
1206C4×D59—24no—
1207C4×D59—22no—
1208C4×D59—22no—
1209C4×D59—24no—
1210C4×D59—24no—
1211C4×D59—24no—
1212C4×D59—28no—
1213C4×D59—22no—
1214C4×D59—24no—
1215C4×D59—41no—
1216C4×D59—42no—
1217C4×D59—42no—
1218C4×D59—41no—
1219C4×D59—42no—
1220C4×D59—44no—
1221C4×D59—44no—
1222C4×D59C2×#4114yes—
1223C4×D592−1+414yescomplemented
1224Dic118—24no—
1225Dic118—22no—
1226Dic118—24no—
1227Dic118—24no—
1228Dic118—28no—
1229Dic118—28no—
1230Dic118—28no—
1231Dic118—24no—
1232Dic118—24no—
1233Dic118—44no—
1234Dic118—44no—
1235Dic118C2×#4114yes—
1236#62805—591nomaximal, Sylow
1237C22×C59—22no—
1238C22×C59—22no—
1239C22×C59—22no—
1240C22×C59—21no—
1241C22×C59—21no—
1242C22×C59—22no—
1243C22×C59—22no—
1244C22×C59—21no—
1245C22×C59C22×#4114yes—
1246C22×C59C2611yescharacteristic
1247C2×D59—21no—
1248C2×D59—21no—
1249C2×D59—21no—
1250C2×D59—21no—
1251C2×D59—22no—
1252C2×D59—22no—
1253C2×D59—22no—
1254C2×D59—22no—
1255C2×D59—22no—
1256C2×D59—22no—
1257C2×D59—44no—
1258C2×D59—48no—
1259C2×D59C22×#4112yes—
1260C2×D59C2×2−1+412yes—
1261C4×C59—22no—
1262C4×C59—24no—
1263C4×C59—22no—
1264C4×C59—21no—
1265C4×C59—22no—
1266C4×C59—22no—
1267C4×C59—21no—
1268C4×C59—22no—
1269C4×C59—24no—
1270C4×C59—21no—
1271C4×C59—22no—
1272C4×C59C22×#4112yes—
1273C4×C59C2×2−1+412yes—
1274C4×C59#58512yes—
1275Dic59—24no—
1276Dic59—22no—
1277Dic59—21no—
1278Dic59—22no—
1279Dic59—21no—
1280Dic59—22no—
1281Dic59—22no—
1282Dic59—24no—
1283Dic59—21no—
1284Dic59—21no—
1285Dic59—22no—
1286Dic59C22×#4112yes—
1287Dic59C22×#4114yes—
1288Dic59C2×2−1+412yes—
1289#3523—591no—
1290#3523—591no—
1291#3520—592no—
1292#3520—591no—
1293#3520—592no—
1294#3520—591no—
1295#3518—592no—
1296#3515—594no—
1297#3515—592no—
1298#3511—591no—
1299#3511—592no—
1300#3509—591no—
1301#3509—592no—
1302#3503—591no—
1303#3499—591no—
1304#3495—592no—
1305#3495—594no—
1306#3489—592no—
1307#3482—591no—
1308#3482—592no—
1309#3482—591no—
1310#3482—591no—
1311#3482—592no—
1312#3482D5911yescharacteristic, complemented
1313Q8×#41—592no—
1314#3475—594no—
1315#3475—592no—
1316#3461—592no—
1317#3461—594no—
1318#3444—592no—
1319#3444—591no—
1320C2×#533—591no—
1321C2×#533—592no—
1322C4×2−1+4—592no—
1323C2×C4×#41—591no—
1324C2×C59—24no—
1325C2×C59—41no—
1326C2×C59—42no—
1327C2×C59C23×#4111yescharacteristic
1328C2×C59C22×2−1+411yescharacteristic
1329C2×C59C2×#58511yescharacteristic
1330D59—22no—
1331D59—22no—
1332D59—42no—
1333D59—42no—
1334C2×2−1+4—592no—
1335C22×#41—591no—
1336Q82—592no—
1337#557—592no—
1338#557—591no—
1339#557—594no—
1340#557—592no—
1341#557—591no—
1342#557—592no—
1343#557—591no—
1344#557C2×D5911yescharacteristic, complemented
1345#556—591no—
1346#556—594no—
1347#556—594no—
1348#556—592no—
1349#556—592no—
1350#556—592no—
1351#556—594no—
1352#556—591no—
1353#556—592no—
1354#556—591no—
1355#556—592no—
1356#556—592no—
1357#556C2×D5912yescomplemented
1358#556C2×D5911yescharacteristic, complemented
1359#555—594no—
1360#555—592no—
1361#554—592no—
1362#554—594no—
1363#554—594no—
1364#554—594no—
1365#554—592no—
1366#554—594no—
1367#554—592no—
1368#554—592no—
1369#553—594no—
1370#553—594no—
1371#553—594no—
1372#552—594no—
1373#552—594no—
1374#552—594no—
1375#552—594no—
1376#552—594no—
1377#552—592no—
1378#552—594no—
1379#552—594no—
1380#552—592no—
1381#552—592no—
1382#552—592no—
1383#552—594no—
1384#552—592no—
1385#552—592no—
1386#552—592no—
1387#552—592no—
1388#552—594no—
1389#552—594no—
1390#552—594no—
1391#552—594no—
1392#552—592no—
1393#552C2×D5914yescomplemented
1394#552C2×D5912yescomplemented
1395#551—594no—
1396#551—594no—
1397#551—594no—
1398#551—594no—
1399#551—594no—
1400#551—594no—
1401D4×Q8—592no—
1402D4×Q8—592no—
1403D4×Q8—591no—
1404D4×Q8—592no—
1405D4×Q8—592no—
1406D4×Q8—592no—
1407D4×Q8—591no—
1408D4×Q8—591no—
1409D4×Q8C2×D5911yescharacteristic, complemented
1410#548—592no—
1411#548—592no—
1412#548—592no—
1413#548—592no—
1414#548—592no—
1415#548—592no—
1416#548—592no—
1417#548C2×D5912yescomplemented
1418#547—592no—
1419#547—592no—
1420#547—592no—
1421#547—591no—
1422#547—594no—
1423#547—594no—
1424#547—592no—
1425#547—592no—
1426#547—591no—
1427#547—591no—
1428#547—594no—
1429#547—592no—
1430#547C2×D5912yes—
1431#547C2×D5911yescharacteristic, complemented
1432#546—592no—
1433#546—594no—
1434#546—594no—
1435#546—592no—
1436#544—592no—
1437#544—594no—
1438#542—592no—
1439#542—594no—
1440#542—594no—
1441#542—594no—
1442#542—594no—
1443#542—594no—
1444#542—592no—
1445#541—592no—
1446#541—594no—
1447#541—594no—
1448#541—594no—
1449#541—594no—
1450#541—594no—
1451#541—592no—
1452#539—594no—
1453#539—594no—
1454#539—594no—
1455#539—594no—
1456#539—594no—
1457#539—594no—
1458#537—592no—
1459#537—594no—
1460#536—592no—
1461#536—594no—
1462#536—594no—
1463#536—592no—
1464#533—591no—
1465#533—591no—
1466#533—592no—
1467#533—592no—
1468#533—592no—
1469#533—592no—
1470#533—592no—
1471#533—592no—
1472#533—591no—
1473#533—594no—
1474#533—592no—
1475#533—594no—
1476#533—592no—
1477#533—592no—
1478#533—594no—
1479#533—592no—
1480#533—592no—
1481#533—592no—
1482#533—592no—
1483#533—594no—
1484#533—591no—
1485#533—594no—
1486#533—592no—
1487#533—592no—
1488#533—591no—
1489#533—594no—
1490#533—591no—
1491#533C2×D5911yescharacteristic, complemented
1492#533C2×D5912yescomplemented
1493#532—591no—
1494#532—592no—
1495#532—592no—
1496#532—591no—
1497#532—591no—
1498C2×C4⋊Q8—592no—
1499C2×C4⋊Q8—591no—
1500C2×C4⋊Q8—591no—
1501C2×C4⋊Q8—592no—
1502#529—594no—
1503#529—594no—
1504#529—592no—
1505#529—592no—
1506#529—594no—
1507#529—591no—
1508#529—591no—
1509#529—594no—
1510#529—592no—
1511#529—592no—
1512#529—592no—
1513#529—594no—
1514#529—594no—
1515#529—594no—
1516#529—591no—
1517#529—591no—
1518#529—592no—
1519#529—594no—
1520#529—592no—
1521#529—594no—
1522#529—594no—
1523#529—592no—
1524#529—594no—
1525#529—592no—
1526#529C2×D5912yescomplemented
1527#529C2×D5914yescomplemented
1528C2×#125—592no—
1529C2×#125—594no—
1530#525—591no—
1531#525—594no—
1532#525—592no—
1533#525—592no—
1534#525—592no—
1535#525—594no—
1536#525—592no—
1537#525—591no—
1538C2×C22⋊Q8—592no—
1539C2×C22⋊Q8—592no—
1540C2×C22⋊Q8—592no—
1541C2×C22⋊Q8—594no—
1542C2×C22⋊Q8—592no—
1543#520—592no—
1544#520—592no—
1545#520—594no—
1546#520—592no—
1547#520—594no—
1548#520—592no—
1549#520—594no—
1550#519—592no—
1551#519—592no—
1552#519—594no—
1553#519—592no—
1554C4×#41—591no—
1555C4×#41—591no—
1556C4×#41—591no—
1557C4×#41—592no—
1558C4×#41—591no—
1559C4×#41—592no—
1560C4×#41—591no—
1561C4×#41—592no—
1562C4×#41—594no—
1563C4×#41—592no—
1564C4×#41—594no—
1565C4×#41—592no—
1566C4×#41—592no—
1567C4×#41—591no—
1568C4×#41—594no—
1569C4×#41—592no—
1570C4×#41—591no—
1571C4×#41—592no—
1572C4×#41—594no—
1573C4×#41—592no—
1574C4×#41—591no—
1575C4×#41C2×D5911yescharacteristic
1576C4×#41C2×D5912yescomplemented
1577C4×#41C2×D5911yescharacteristic, complemented
1578C2×C4×Q8—591no—
1579C2×C4×Q8—591no—
1580C2×C4×Q8—592no—
1581C2×C4×Q8—592no—
1582C2×C4×Q8—592no—
1583C2×C4×Q8—594no—
1584C2×C4×Q8—592no—
1585C2×C4×Q8—592no—
1586C2×C4×Q8C2×D5912yescomplemented
1587C2×C4×D4—591no—
1588C2×C4×D4—592no—
1589C2×C4×D4—591no—
1590C2×C4×D4—592no—
1591C2×#117—591no—
1592C2×#117—592no—
1593C2×#117—592no—
1594C2×#117—594no—
1595C22×C42—592no—
1596C22×C42—591no—
1597C59#6280511yescharacteristic, complemented, Sylow
15982−1+4—11816no—
1599C2×#41—591no—
1600C2×#41—592no—
1601C2×#41—591no—
1602C2×#41—592no—
1603C2×#41—594no—
1604C2×#41—592no—
1605C2×#41—594no—
1606C2×#41—592no—
1607C2×#41—592no—
1608C2×#41—592no—
1609C2×#41—591no—
1610C2×#41—592no—
1611C2×#41—594no—
1612C2×#41—591no—
1613C2×#41—1188no—
1614C2×#41C22×D5911yescharacteristic
1615C2×#41C22×D5912yes—
1616C2×#41C22×D5911yescharacteristic
1617C22×Q8—591no—
1618C22×Q8—592no—
1619C22×Q8—592no—
1620C22×Q8—592no—
1621C22×Q8—594no—
1622C22×Q8—592no—
1623C22×Q8—592no—
1624C22×Q8C22×D5912yes—
1625C22×D4—592no—
1626C22×D4—591no—
1627C23×C4—592no—
1628C23×C4—591no—
1629C23×C4—592no—
1630C23×C4—591no—
1631C23×C4—592no—
1632C23×C4—591no—
1633C4⋊Q8—592no—
1634C4⋊Q8—591no—
1635C4⋊Q8—594no—
1636C4⋊Q8—592no—
1637C4⋊Q8—592no—
1638C4⋊Q8—592no—
1639C4⋊Q8—594no—
1640C4⋊Q8—592no—
1641C4⋊Q8—594no—
1642C4⋊Q8—592no—
1643C4⋊Q8—591no—
1644C4⋊Q8—594no—
1645C4⋊Q8—592no—
1646C4⋊Q8—592no—
1647C4⋊Q8—594no—
1648C4⋊Q8—592no—
1649C4⋊Q8—592no—
1650C4⋊Q8—592no—
1651C4⋊Q8—591no—
1652C4⋊Q8—594no—
1653C4⋊Q8—594no—
1654C4⋊Q8—594no—
1655C4⋊Q8—592no—
1656C4⋊Q8—591no—
1657C4⋊Q8—591no—
1658C4⋊Q8C22×D5911yescharacteristic
1659C4⋊Q8C22×D5911yescharacteristic
1660C4⋊Q8C22×D5912yes—
1661C4⋊Q8C22×D5912yes—
1662#127—591no—
1663#126—592no—
1664#126—594no—
1665#126—592no—
1666#126—594no—
1667#126—594no—
1668#126—594no—
1669#126—594no—
1670#126—594no—
1671#126—594no—
1672#126—594no—
1673#126—594no—
1674#126—592no—
1675#126—594no—
1676#126—592no—
1677#126—594no—
1678#126—594no—
1679#126—594no—
1680#126—594no—
1681#126—594no—
1682#126—594no—
1683#126—594no—
1684#126—594no—
1685#126—594no—
1686#126C22×D5914yes—
1687#126C22×D5914yes—
1688#126C22×D5914yes—
1689#125—594no—
1690#125—592no—
1691#125—594no—
1692#125—594no—
1693#125—592no—
1694#125—592no—
1695#125—594no—
1696#125—594no—
1697#125—594no—
1698#125—594no—
1699#125—594no—
1700#125—594no—
1701#125—592no—
1702#125—591no—
1703#125—591no—
1704#125—594no—
1705#125—594no—
1706#125—594no—
1707#125—594no—
1708#125—594no—
1709#125—594no—
1710#125—592no—
1711#125—594no—
1712#125—594no—
1713#125—594no—
1714#125—594no—
1715#125—594no—
1716#125—592no—
1717#125—592no—
1718#125—594no—
1719#125—592no—
1720#125C22×D5912yes—
1721#125C22×D5912yes—
1722#125C22×D5914yes—
1723#125C22×D5914yes—
1724#124—591no—
1725#124—592no—
1726#124—594no—
1727#124—591no—
1728#124—592no—
1729#124—592no—
1730#124—594no—
1731#124—594no—
1732#124—594no—
1733#124—594no—
1734#124—594no—
1735#124—594no—
1736#124—592no—
1737#124—592no—
1738#124—594no—
1739#124C22×D5912yes—
1740#124C22×D5914yes—
1741#123—592no—
1742#123—594no—
1743#123—594no—
1744#123—594no—
1745#123—594no—
1746#123—594no—
1747#123—594no—
1748#123—594no—
1749#123—594no—
1750#123—592no—
1751#123—592no—
1752#123—594no—
1753#123—594no—
1754#123—594no—
1755#123—594no—
1756#123—594no—
1757#123—594no—
1758#123—594no—
1759#123—592no—
1760#123—592no—
1761#123—592no—
1762#123—594no—
1763#123—594no—
1764#123—594no—
1765#123—594no—
1766#123—594no—
1767#123—594no—
1768#123C22×D5914yes—
1769#123C22×D5914yes—
1770#123C22×D5914yes—
1771C22⋊Q8—592no—
1772C22⋊Q8—591no—
1773C22⋊Q8—594no—
1774C22⋊Q8—592no—
1775C22⋊Q8—592no—
1776C22⋊Q8—592no—
1777C22⋊Q8—594no—
1778C22⋊Q8—591no—
1779C22⋊Q8—592no—
1780C22⋊Q8—594no—
1781C22⋊Q8—592no—
1782C22⋊Q8—594no—
1783C22⋊Q8—592no—
1784C22⋊Q8—592no—
1785C22⋊Q8—592no—
1786C22⋊Q8—592no—
1787C22⋊Q8—594no—
1788C22⋊Q8—594no—
1789C22⋊Q8—592no—
1790C22⋊Q8—592no—
1791C22⋊Q8—591no—
1792C22⋊Q8—594no—
1793C22⋊Q8—594no—
1794C22⋊Q8—594no—
1795C22⋊Q8—594no—
1796C22⋊Q8—594no—
1797C22⋊Q8—592no—
1798C22⋊Q8—594no—
1799C22⋊Q8—594no—
1800C22⋊Q8—592no—
1801C22⋊Q8—592no—
1802C22⋊Q8—594no—
1803C22⋊Q8—594no—
1804C22⋊Q8—594no—
1805C22⋊Q8—591no—
1806C22⋊Q8—592no—
1807C22⋊Q8—594no—
1808C22⋊Q8—594no—
1809C22⋊Q8—594no—
1810C22⋊Q8—594no—
1811C22⋊Q8—592no—
1812C22⋊Q8—594no—
1813C22⋊Q8—594no—
1814C22⋊Q8—594no—
1815C22⋊Q8—594no—
1816C22⋊Q8—594no—
1817C22⋊Q8—592no—
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—594no—
1827C22⋊Q8C22×D5912yes—
1828C22⋊Q8C22×D5912yes—
1829C22⋊Q8C22×D5912yes—
1830C22⋊Q8C22×D5914yes—
1831C22⋊Q8C22×D5912yes—
1832C22⋊Q8C22×D5912yes—
1833C22⋊Q8C22×D5914yes—
1834#121—591no—
1835#121—592no—
1836#121—591no—
1837#121—594no—
1838#121—592no—
1839#121—594no—
1840#121—594no—
1841#121—594no—
1842#121—592no—
1843#121—594no—
1844#121—592no—
1845#121—591no—
1846#121—591no—
1847#121—594no—
1848#121—592no—
1849#121—592no—
1850#121—594no—
1851#121—592no—
1852#121—594no—
1853#121—594no—
1854#121—594no—
1855#121C22×D5912yes—
1856#121C22×D5914yes—
1857#120—594no—
1858#120—592no—
1859#120—592no—
1860#120—594no—
1861C4×Q8—591no—
1862C4×Q8—591no—
1863C4×Q8—592no—
1864C4×Q8—592no—
1865C4×Q8—592no—
1866C4×Q8—592no—
1867C4×Q8—591no—
1868C4×Q8—592no—
1869C4×Q8—591no—
1870C4×Q8—592no—
1871C4×Q8—594no—
1872C4×Q8—592no—
1873C4×Q8—592no—
1874C4×Q8—594no—
1875C4×Q8—592no—
1876C4×Q8—594no—
1877C4×Q8—594no—
1878C4×Q8—594no—
1879C4×Q8—592no—
1880C4×Q8—592no—
1881C4×Q8—594no—
1882C4×Q8—594no—
1883C4×Q8—591no—
1884C4×Q8—594no—
1885C4×Q8—594no—
1886C4×Q8—592no—
1887C4×Q8—594no—
1888C4×Q8—592no—
1889C4×Q8—592no—
1890C4×Q8—591no—
1891C4×Q8—592no—
1892C4×Q8—591no—
1893C4×Q8—592no—
1894C4×Q8—594no—
1895C4×Q8—594no—
1896C4×Q8—594no—
1897C4×Q8—594no—
1898C4×Q8—592no—
1899C4×Q8—592no—
1900C4×Q8—594no—
1901C4×Q8—594no—
1902C4×Q8—594no—
1903C4×Q8—592no—
1904C4×Q8—592no—
1905C4×Q8—594no—
1906C4×Q8—592no—
1907C4×Q8—594no—
1908C4×Q8—591no—
1909C4×Q8—592no—
1910C4×Q8—592no—
1911C4×Q8C22×D5912yes—
1912C4×Q8C22×D5912yes—
1913C4×Q8C22×D5911yescharacteristic
1914C4×Q8C22×D5911yescharacteristic
1915C4×Q8C22×D5911yescharacteristic
1916C4×Q8C22×D5914yes—
1917C4×Q8C22×D5912yes—
1918C4×Q8C22×D5912yes—
1919C4×Q8C22×D5914yes—
1920C4×Q8C22×D5912yes—
1921C4×Q8C22×D5911yescharacteristic
1922C4×D4—591no—
1923C4×D4—592no—
1924C4×D4—591no—
1925C4×D4—592no—
1926C4×D4—594no—
1927C4×D4—592no—
1928C4×D4—594no—
1929C4×D4—592no—
1930C4×D4—592no—
1931C4×D4—592no—
1932C4×D4—592no—
1933C4×D4—592no—
1934C4×D4—592no—
1935C4×D4—592no—
1936C4×D4—594no—
1937C4×D4—592no—
1938C4×D4—592no—
1939C4×D4—592no—
1940C4×D4—592no—
1941C4×D4—594no—
1942C4×D4—594no—
1943C4×D4—592no—
1944C4×D4—594no—
1945C4×D4—592no—
1946C4×D4—592no—
1947C4×D4—592no—
1948C4×D4—592no—
1949C4×D4—592no—
1950C4×D4—592no—
1951C4×D4—591no—
1952C4×D4—592no—
1953C4×D4—591no—
1954C4×D4—594no—
1955C4×D4—594no—
1956C4×D4—594no—
1957C4×D4—592no—
1958C4×D4—592no—
1959C4×D4—592no—
1960C4×D4—592no—
1961C4×D4—592no—
1962C4×D4—592no—
1963C4×D4—592no—
1964C4×D4—594no—
1965C4×D4—594no—
1966C4×D4—594no—
1967C4×D4—594no—
1968C4×D4—594no—
1969C4×D4—594no—
1970C4×D4—594no—
1971C4×D4—594no—
1972C4×D4—594no—
1973C4×D4—594no—
1974C4×D4—591no—
1975C4×D4—592no—
1976C4×D4—591no—
1977C4×D4—592no—
1978C4×D4—592no—
1979C4×D4—591no—
1980C4×D4—592no—
1981C4×D4—594no—
1982C4×D4—594no—
1983C4×D4—592no—
1984C4×D4—592no—
1985C4×D4—591no—
1986C4×D4C22×D5911yescharacteristic
1987C4×D4C22×D5912yes—
1988C4×D4C22×D5911yescharacteristic
1989C4×D4C22×D5912yes—
1990C4×D4C22×D5914yes—
1991C4×D4C22×D5911yescharacteristic
1992C4×D4C22×D5912yes—
1993C4×D4C22×D5914yes—
1994C4×D4C22×D5912yes—
1995C4×D4C22×D5912yes—
1996C4×D4C22×D5911yescharacteristic
1997#117—591no—
1998#117—592no—
1999#117—592no—
2000#117—592no—
2001#117—594no—
2002#117—591no—
2003#117—592no—
2004#117—591no—
2005#117—591no—
2006#117—592no—
2007#117—592no—
2008#117—592no—
2009#117—592no—
2010#117—594no—
2011#117—594no—
2012#117—592no—
2013#117—592no—
2014#117—592no—
2015#117—594no—
2016#117—592no—
2017#117—592no—
2018#117—592no—
2019#117—594no—
2020#117—594no—
2021#117—594no—
2022#117—594no—
2023#117—594no—
2024#117—594no—
2025#117—594no—
2026#117—594no—
2027#117—592no—
2028#117—592no—
2029#117—592no—
2030#117—592no—
2031#117—594no—
2032#117—594no—
2033#117—594no—
2034#117—594no—
2035#117—594no—
2036#117—594no—
2037#117—592no—
2038#117—592no—
2039#117—594no—
2040#117—594no—
2041#117—594no—
2042#117—592no—
2043#117—592no—
2044#117C22×D5912yes—
2045#117C22×D5911yescharacteristic
2046#117C22×D5912yes—
2047#117C22×D5914yes—
2048#117C22×D5914yes—
2049#117C22×D5912yes—
2050#117C22×D5911yescharacteristic
2051#117C22×D5912yes—
2052C2×C4⋊C4—594no—
2053C2×C4⋊C4—594no—
2054C2×C4⋊C4—594no—
2055C2×C4⋊C4—594no—
2056C2×C4⋊C4—594no—
2057C2×C4⋊C4—594no—
2058C2×C4⋊C4—592no—
2059C2×C4⋊C4—594no—
2060C2×C4⋊C4—592no—
2061C2×C4⋊C4—592no—
2062C2×C4⋊C4—591no—
2063C2×C4⋊C4—592no—
2064C2×C4⋊C4—591no—
2065C2×C4⋊C4—592no—
2066C2×C4⋊C4—592no—
2067C2×C4⋊C4—594no—
2068C2×C4⋊C4—592no—
2069C2×C4⋊C4—594no—
2070C2×C4⋊C4—592no—
2071C2×C4⋊C4—594no—
2072C2×C4⋊C4—592no—
2073C2×C4⋊C4C22×D5914yes—
2074C2×C4⋊C4C22×D5912yes—
2075C2×C22⋊C4—594no—
2076C2×C22⋊C4—594no—
2077C2×C22⋊C4—592no—
2078C2×C22⋊C4—592no—
2079C2×C22⋊C4—592no—
2080C2×C22⋊C4—594no—
2081C2×C42—594no—
2082C2×C42—592no—
2083C2×C42—594no—
2084C2×C42—592no—
2085C2×C42—591no—
2086C2×C42—591no—
2087C2×C42—592no—
2088C2×C42—591no—
2089C2×C42—592no—
2090C2×C42—591no—
2091C2×C42—594no—
2092C2×C42—592no—
2093C2×C42—591no—
2094C2×C42—592no—
2095C2×C42—591no—
2096C2×C42—591no—
2097C2×C42—591no—
2098C2×C42—594no—
2099C2×C42—592no—
2100C2×C42—592no—
2101C2×C42—591no—
2102C2×C42—592no—
2103C2×C42—592no—
2104C2×C42—591no—
2105C2×C42—592no—
2106C2×C42—591no—
2107C2×C42C22×D5914yes—
2108C2×C42C22×D5912yes—
2109C2×C42C22×D5912yes—
2110C2×C42C22×D5911yescharacteristic
2111C24—591no—
2112C24—592no—
2113#41—24no—
2114#41—28no—
2115#41—42no—
2116#41—598no—
2117#41—1188no—
2118#41—1188no—
2119#41—1188no—
2120#41—11816no—
2121#41—1184no—
2122#41—1188no—
2123#41—11816no—
2124#41—1184no—
2125#41—11816no—
2126#41—1188no—
2127#41—2362no—
2128#41—2364no—
2129#41—2364no—
2130C2×Q8—44no—
2131C2×Q8—591no—
2132C2×Q8—592no—
2133C2×Q8—594no—
2134C2×Q8—594no—
2135C2×Q8—592no—
2136C2×Q8—594no—
2137C2×Q8—592no—
2138C2×Q8—592no—
2139C2×Q8—591no—
2140C2×Q8—592no—
2141C2×Q8—594no—
2142C2×Q8—594no—
2143C2×Q8—11816no—
2144C2×Q8—1188no—
2145C2×Q8—1188no—
2146C2×Q8—1184no—
2147C2×Q8—1188no—
2148C2×Q8—2364no—
2149C2×Q8—2364no—
2150C2×Q8C23×D5912yes—
2151C2×Q8C23×D5912yes—
2152C2×Q8C23×D5911yescharacteristic
2153C2×Q8C23×D5911yescharacteristic
2154C2×Q8C23×D5914yes—
2155C2×D4—592no—
2156C2×D4—592no—
2157C2×D4—592no—
2158C2×D4—592no—
2159C2×D4—594no—
2160C2×D4—592no—
2161C2×D4—592no—
2162C2×D4—592no—
2163C2×D4—594no—
2164C2×D4—592no—
2165C2×D4—592no—
2166C2×D4—592no—
2167C2×D4—592no—
2168C2×D4—591no—
2169C2×D4—591no—
2170C2×D4—594no—
2171C2×D4—1188no—
2172C2×D4—1184no—
2173C2×D4C23×D5914yes—
2174C2×D4C23×D5912yes—
2175C2×D4C23×D5911yescharacteristic
2176C2×D4C23×D5912yes—
2177C2×D4C23×D5911yescharacteristic
2178C22×C4—592no—
2179C22×C4—591no—
2180C22×C4—591no—
2181C22×C4—592no—
2182C22×C4—591no—
2183C22×C4—591no—
2184C22×C4—594no—
2185C22×C4—594no—
2186C22×C4—592no—
2187C22×C4—591no—
2188C22×C4—594no—
2189C22×C4—594no—
2190C22×C4—591no—
2191C22×C4—591no—
2192C22×C4—591no—
2193C22×C4—592no—
2194C22×C4—591no—
2195C22×C4—591no—
2196C22×C4—591no—
2197C22×C4—592no—
2198C22×C4—591no—
2199C22×C4—592no—
2200C22×C4—592no—
2201C22×C4—592no—
2202C22×C4—592no—
2203C22×C4—594no—
2204C22×C4—594no—
2205C22×C4—592no—
2206C22×C4—591no—
2207C22×C4—592no—
2208C22×C4—592no—
2209C22×C4—592no—
2210C22×C4—591no—
2211C22×C4—591no—
2212C22×C4—592no—
2213C22×C4—594no—
2214C22×C4—594no—
2215C22×C4—592no—
2216C22×C4—1188no—
2217C22×C4—1184no—
2218C22×C4—1188no—
2219C22×C4—1184no—
2220C22×C4—2364no—
2221C22×C4—2362no—
2222C22×C4C23×D5912yes—
2223C22×C4C23×D5912yes—
2224C22×C4C23×D5911yescharacteristic
2225C22×C4C23×D5911yescharacteristic
2226C22×C4C23×D5914yes—
2227C22×C4C23×D5912yes—
2228C22×C4C23×D5912yes—
2229C22×C4C23×D5912yes—
2230C22×C4C23×D5911yescharacteristic
2231C22×C4C23×D5914yes—
2232C22×C4C23×D5912yes—
2233C4⋊C4—592no—
2234C4⋊C4—591no—
2235C4⋊C4—594no—
2236C4⋊C4—594no—
2237C4⋊C4—592no—
2238C4⋊C4—592no—
2239C4⋊C4—594no—
2240C4⋊C4—594no—
2241C4⋊C4—592no—
2242C4⋊C4—594no—
2243C4⋊C4—592no—
2244C4⋊C4—591no—
2245C4⋊C4—592no—
2246C4⋊C4—594no—
2247C4⋊C4—594no—
2248C4⋊C4—592no—
2249C4⋊C4—594no—
2250C4⋊C4—594no—
2251C4⋊C4—592no—
2252C4⋊C4—594no—
2253C4⋊C4—594no—
2254C4⋊C4—594no—
2255C4⋊C4—592no—
2256C4⋊C4—594no—
2257C4⋊C4—592no—
2258C4⋊C4—592no—
2259C4⋊C4—592no—
2260C4⋊C4—592no—
2261C4⋊C4—591no—
2262C4⋊C4—592no—
2263C4⋊C4—592no—
2264C4⋊C4—592no—
2265C4⋊C4—594no—
2266C4⋊C4—594no—
2267C4⋊C4—594no—
2268C4⋊C4—594no—
2269C4⋊C4—592no—
2270C4⋊C4—592no—
2271C4⋊C4—594no—
2272C4⋊C4—594no—
2273C4⋊C4—594no—
2274C4⋊C4—594no—
2275C4⋊C4—594no—
2276C4⋊C4—594no—
2277C4⋊C4—592no—
2278C4⋊C4—591no—
2279C4⋊C4—592no—
2280C4⋊C4—594no—
2281C4⋊C4—592no—
2282C4⋊C4—592no—
2283C4⋊C4—594no—
2284C4⋊C4—594no—
2285C4⋊C4—592no—
2286C4⋊C4—594no—
2287C4⋊C4—592no—
2288C4⋊C4—594no—
2289C4⋊C4—592no—
2290C4⋊C4—592no—
2291C4⋊C4C23×D5912yes—
2292C4⋊C4C23×D5914yes—
2293C4⋊C4C23×D5912yes—
2294C4⋊C4C23×D5914yes—
2295C4⋊C4C23×D5911yescharacteristic
2296C4⋊C4C23×D5912yes—
2297C4⋊C4C23×D5911yescharacteristic
2298C4⋊C4C23×D5912yes—
2299C4⋊C4C23×D5912yes—
2300C4⋊C4C23×D5912yes—
2301C4⋊C4C23×D5911yescharacteristic
2302C4⋊C4C23×D5912yes—
2303C4⋊C4C23×D5914yes—
2304C4⋊C4C23×D5914yes—
2305C4⋊C4C23×D5914yes—
2306C4⋊C4C23×D5911yescharacteristic
2307C4⋊C4C23×D5914yes—
2308C4⋊C4C23×D5914yes—
2309C4⋊C4C23×D5914yes—
2310C4⋊C4C23×D5912yes—
2311C22⋊C4—592no—
2312C22⋊C4—592no—
2313C22⋊C4—592no—
2314C22⋊C4—594no—
2315C22⋊C4—594no—
2316C22⋊C4—592no—
2317C22⋊C4—592no—
2318C22⋊C4—592no—
2319C22⋊C4—592no—
2320C22⋊C4—592no—
2321C22⋊C4—594no—
2322C22⋊C4—594no—
2323C22⋊C4—594no—
2324C22⋊C4—592no—
2325C22⋊C4—592no—
2326C22⋊C4—592no—
2327C22⋊C4—592no—
2328C22⋊C4—592no—
2329C22⋊C4—592no—
2330C22⋊C4—592no—
2331C22⋊C4—592no—
2332C22⋊C4—594no—
2333C22⋊C4—594no—
2334C22⋊C4—594no—
2335C22⋊C4—594no—
2336C22⋊C4—592no—
2337C22⋊C4—592no—
2338C22⋊C4—592no—
2339C22⋊C4—592no—
2340C22⋊C4—592no—
2341C22⋊C4—594no—
2342C22⋊C4—594no—
2343C22⋊C4—594no—
2344C22⋊C4—594no—
2345C22⋊C4—592no—
2346C22⋊C4—592no—
2347C22⋊C4—594no—
2348C22⋊C4—594no—
2349C22⋊C4—592no—
2350C22⋊C4C23×D5912yes—
2351C22⋊C4C23×D5912yes—
2352C22⋊C4C23×D5912yes—
2353C22⋊C4C23×D5914yes—
2354C22⋊C4C23×D5914yes—
2355C22⋊C4C23×D5912yes—
2356C22⋊C4C23×D5914yes—
2357C22⋊C4C23×D5914yes—
2358C22⋊C4C23×D5914yes—
2359C22⋊C4C23×D5912yes—
2360C22⋊C4C23×D5912yes—
2361C42—591no—
2362C42—591no—
2363C42—592no—
2364C42—591no—
2365C42—592no—
2366C42—592no—
2367C42—591no—
2368C42—591no—
2369C42—592no—
2370C42—591no—
2371C42—592no—
2372C42—591no—
2373C42—592no—
2374C42—591no—
2375C42—592no—
2376C42—591no—
2377C42—592no—
2378C42—591no—
2379C42—594no—
2380C42—594no—
2381C42—592no—
2382C42—594no—
2383C42—594no—
2384C42—594no—
2385C42—594no—
2386C42—594no—
2387C42—594no—
2388C42—592no—
2389C42—591no—
2390C42—592no—
2391C42—591no—
2392C42—592no—
2393C42—594no—
2394C42C23×D5911yescharacteristic
2395C42C23×D5912yes—
2396C42C23×D5911yescharacteristic
2397C42C23×D5912yes—
2398C42C23×D5914yes—
2399C42C23×D5914yes—
2400C42C23×D5912yes—
2401C42C23×D5912yes—
2402C42C23×D5911yescharacteristic
2403C42C23×D5911yescharacteristic
2404C42C23×D5912yes—
2405C42C23×D5914yes—
2406C42C23×D5912yes—
2407C23—591no—
2408C23—591no—
2409C23—592no—
2410C23—592no—
2411C23—1182no—
2412C23—1184no—
2413C23—1182no—
2414C23—1184no—
2415C23—2362no—
2416C23—2361no—
2417C23C24×D5911yescharacteristic
2418C23C24×D5912yes—
2419C23C24×D5912yes—
2420Q8—24no—
2421Q8—22no—
2422Q8—22no—
2423Q8—24no—
2424Q8—44no—
2425Q8—594no—
2426Q8—1184no—
2427Q8—1188no—
2428Q8—1188no—
2429Q8—1188no—
2430Q8—1184no—
2431Q8—1184no—
2432Q8—1184no—
2433Q8—1182no—
2434Q8—1184no—
2435Q8—2364no—
2436Q8—2364no—
2437D4—24no—
2438D4—28no—
2439D4—22no—
2440D4—42no—
2441D4—598no—
2442D4—1184no—
2443D4—1184no—
2444D4—1184no—
2445D4—1184no—
2446D4—1184no—
2447D4—1184no—
2448D4—1184no—
2449D4—1184no—
2450D4—1184no—
2451D4—1188no—
2452D4—1182no—
2453D4—1182no—
2454D4—2364no—
2455D4—2362no—
2456D4—2364no—
2457D4#41×D5914yes—
2458C2×C4—24no—
2459C2×C4—28no—
2460C2×C4—22no—
2461C2×C4—24no—
2462C2×C4—24no—
2463C2×C4—22no—
2464C2×C4—24no—
2465C2×C4—24no—
2466C2×C4—22no—
2467C2×C4—44no—
2468C2×C4—42no—
2469C2×C4—598no—
2470C2×C4—591no—
2471C2×C4—591no—
2472C2×C4—592no—
2473C2×C4—594no—
2474C2×C4—594no—
2475C2×C4—591no—
2476C2×C4—591no—
2477C2×C4—592no—
2478C2×C4—592no—
2479C2×C4—592no—
2480C2×C4—591no—
2481C2×C4—594no—
2482C2×C4—592no—
2483C2×C4—594no—
2484C2×C4—592no—
2485C2×C4—591no—
2486C2×C4—1182no—
2487C2×C4—1184no—
2488C2×C4—1182no—
2489C2×C4—1184no—
2490C2×C4—1184no—
2491C2×C4—1184no—
2492C2×C4—1188no—
2493C2×C4—1184no—
2494C2×C4—1182no—
2495C2×C4—1182no—
2496C2×C4—1188no—
2497C2×C4—1184no—
2498C2×C4—1182no—
2499C2×C4—1182no—
2500C2×C4—1188no—
2501C2×C4—1188no—
2502C2×C4—1182no—
2503C2×C4—1184no—
2504C2×C4—1182no—
2505C2×C4—1184no—
2506C2×C4—1184no—
2507C2×C4—1182no—
2508C2×C4—1182no—
2509C2×C4—1184no—
2510C2×C4—2361no—
2511C2×C4—2361no—
2512C2×C4—2362no—
2513C2×C4—2362no—
2514C2×C4—2364no—
2515C2×C4—2362no—
2516C2×C4—2364no—
2517C2×C4—2362no—
2518C2×C4—2361no—
2519C2×C4—2364no—
2520C2×C4—2364no—
2521C2×C4C24×D5912yes—
2522C2×C4C24×D5911yescharacteristic
2523C2×C4C24×D5911yescharacteristic
2524C2×C4C24×D5912yes—
2525C2×C4C24×D5911yescharacteristic
2526C2×C4C24×D5912yes—
2527C2×C4C24×D5914yes—
2528C2×C4C24×D5914yes—
2529C2×C4C24×D5912yes—
2530C2×C4C24×D5912yes—
2531C2×C4C24×D5912yes—
2532C2×C4C24×D5911yescharacteristic
2533C2×C4C24×D5911yescharacteristic
2534C2×C4C24×D5911yescharacteristic
2535C22—22no—
2536C22—22no—
2537C22—22no—
2538C22—21no—
2539C22—21no—
2540C22—22no—
2541C22—21no—
2542C22—22no—
2543C22—592no—
2544C22—592no—
2545C22—1181no—
2546C22—1181no—
2547C22—1181no—
2548C22—1181no—
2549C22—1182no—
2550C22—1182no—
2551C22—1182no—
2552C22—1182no—
2553C22—1182no—
2554C22—1182no—
2555C22—2368no—
2556C22—2364no—
2557C22C2×#41×D5914yes—
2558C22C25×D5911yescharacteristic
2559C4—21no—
2560C4—22no—
2561C4—22no—
2562C4—24no—
2563C4—22no—
2564C4—21no—
2565C4—22no—
2566C4—21no—
2567C4—22no—
2568C4—22no—
2569C4—24no—
2570C4—592no—
2571C4—594no—
2572C4—592no—
2573C4—1181no—
2574C4—1184no—
2575C4—1182no—
2576C4—1181no—
2577C4—1182no—
2578C4—1182no—
2579C4—1181no—
2580C4—1182no—
2581C4—1181no—
2582C4—1184no—
2583C4—1182no—
2584C4C2×#41×D5912yes—
2585C42−1+4×D5912yes—
2586C4#1683823812yes—
2587C2—24no—
2588C2—41no—
2589C2—42no—
2590C2—1182no—
2591C2—1182no—
2592C2—2362no—
2593C2—2362no—
2594C2C22×#41×D5911yescharacteristic
2595C2C2×2−1+4×D5911yescharacteristic
2596C2C2×#1683823811yescharacteristic
subgroupG/H
centerC2×C4C24×D59
commutator, socle, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC59×#3482C2
hypercenter#3482D59
hypocenterC59#62805
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ #3482

Complements

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

NH ≅ G/Ntype
1. #21438191C2semidirect
2. #21438189C2semidirect
3. #21438146C2semidirect
4. #21438142C2semidirect
5. #21438138C2semidirect
6. #21438136C2semidirect
7. #21438106C2semidirect
8. #21438063C2semidirect
9. #21438061C2semidirect
10. #21438002C2semidirect
11. #21438000C2semidirect
12. #21437979C2semidirect
13. #21437974C2semidirect
14. #21437907C2semidirect
15. #21437875C2semidirect
16. #21437841C2semidirect
17. #21437839C2semidirect
18. #21437770C2semidirect
19. #21437714C2semidirect
20. #21437713C2semidirect
21. #21437711C2semidirect
22. #21437711C2semidirect
23. #21437709C2semidirect
24. #21437674C2semidirect
25. #21437658C2semidirect
26. #21437648C2semidirect
27. #21437527C2semidirect
28. #21437525C2semidirect
29. #21437390C2semidirect
30. #21437389C2semidirect
31. C2×#16837956C2semidirect
32. #533×D59C2semidirect
33. C4×#14273774C2semidirect
34. C4×#41×D59C2semidirect
35. C59×#3482C2semidirect
38. #16838132C22semidirect
39. #16838130C22semidirect
40. #16838130C22semidirect
41. #16838129C22semidirect
42. #16838129C22semidirect
43. #16838128C22semidirect
44. #16838127C22semidirect
45. #16838127C22semidirect
46. #16838126C22semidirect
47. #16838125C22semidirect
48. #16838125C22semidirect
49. #16838124C22semidirect
50. #16838124C22semidirect
51. #16838124C22semidirect
52. #16838123C22semidirect
53. #16838121C22semidirect
54. #16838120C22semidirect
55. #16838120C22semidirect
56. #16838119C22semidirect
57. #16838119C22semidirect
58. #16838115C22semidirect
59. #16838114C22semidirect
61. #16838111C22semidirect
63. #16838110C22semidirect
66. #16838106C22semidirect
67. #16838106C22semidirect
68. #16838103C22semidirect
69. #16838101C22semidirect
70. #16838095C22semidirect
71. #16838094C22semidirect
73. #16838093C22semidirect
74. #16838093C22semidirect
75. #16838092C22semidirect
76. #16838092C22semidirect
78. #16838090C22semidirect
79. #16838089C22semidirect
80. #16838089C22semidirect
82. #16838088C22semidirect
83. #16838087C22semidirect
84. #16838087C22semidirect
85. #16838086C22semidirect
86. #16838085C22semidirect
87. #16838085C22semidirect
88. #16838085C22semidirect
90. #16838084C22semidirect
91. #16838084C22semidirect
98. D4×Dic118C22semidirect
99. D4×Dic118C22semidirect
101. #16838067C22semidirect
102. Q8×C22⋊D59C22semidirect
104. #16838065C22semidirect
105. #16838065C22semidirect
106. #16838064C22semidirect
107. #16838063C22semidirect
110. #16838061C22semidirect
111. #16838060C22semidirect
112. #16838058C22semidirect
113. #16838056C22semidirect
114. #16838056C22semidirect
115. #16838055C22semidirect
116. #16838054C22semidirect
118. #16838053C22semidirect
119. #16838052C22semidirect
121. #16838051C22semidirect
122. #16838051C22semidirect
124. #16838050C22semidirect
129. #16838031C22semidirect
130. #16838029C22semidirect
131. #16838026C22semidirect
132. #16838025C22semidirect
133. #16838022C22semidirect
134. #16838018C22semidirect
135. #16838018C22semidirect
136. #16838016C22semidirect
137. #16838016C22semidirect
138. #16838013C22semidirect
139. #16838012C22semidirect
140. #16838011C22semidirect
141. #16838011C22semidirect
142. #16838011C22semidirect
143. #16838009C22semidirect
144. #16838009C22semidirect
145. #16838001C22semidirect
146. #16838000C22semidirect
147. #16837998C22semidirect
148. #16837997C22semidirect
149. #16837996C22semidirect
150. #16837996C22semidirect
154. #16837975C22semidirect
156. #16837974C22semidirect
157. #16837959C22semidirect
159. #16837958C22semidirect
169. #16837956C22semidirect
170. #16837956C22semidirect
171. #16837956C22semidirect
172. #16837956C22semidirect
173. #16837956C22semidirect
174. #16837956C22semidirect
175. #16837956C22semidirect
176. #16837956C22semidirect
177. #16837956C22semidirect
178. #16837955C22semidirect
179. #16837955C22semidirect
180. #16837955C22semidirect
181. #16837954C22semidirect
182. #16837954C22semidirect
183. #16837954C22semidirect
184. #16837951C22semidirect
186. #16837949C22semidirect
187. #16837948C22semidirect
188. #16837947C22semidirect
189. C2×#14273726C22semidirect
190. C2×#14273725C22semidirect
191. C4⋊Q8×D59C22semidirect
192. C4⋊Q8×D59C22semidirect
194. #16837939C22semidirect
195. #16837939C22semidirect
196. #16837939C22semidirect
198. #16837936C22semidirect
199. #16837936C22semidirect
200. #16837936C22semidirect
202. #16837935C22semidirect
204. #16837934C22semidirect
205. #16837932C22semidirect
206. #16837932C22semidirect
207. #16837932C22semidirect
208. #16837932C22semidirect
209. #16837932C22semidirect
212. #16837930C22semidirect
213. #16837930C22semidirect
214. #16837930C22semidirect
215. #16837930C22semidirect
216. #16837929C22semidirect
217. C2×#14273717C22semidirect
218. #125×D59C22semidirect
232. #16837885C22semidirect
233. #16837882C22semidirect
234. #16837882C22semidirect
236. #16837881C22semidirect
237. #16837881C22semidirect
238. #16837881C22semidirect
239. #16837879C22semidirect
240. #16837879C22semidirect
241. #16837878C22semidirect
242. #16837878C22semidirect
246. C4×#11745689C22semidirect
250. C4×#11745685C22semidirect
251. C4×#11745685C22semidirect
252. C4×#11745685C22semidirect
260. C4×#11745687C22semidirect
261. C4×#11745687C22semidirect
262. C4×#11745687C22semidirect
263. C4×#11745687C22semidirect
264. C2×C4×Dic118C22semidirect
265. C2×C4×Dic118C22semidirect
266. C2×C4×Dic118C22semidirect
269. C4×Q8×D59C22semidirect
270. C4×Q8×D59C22semidirect
271. C4×Q8×D59C22semidirect
282. C59×#557C22semidirect
283. C59×#556C22semidirect
284. C59×#556C22semidirect
285. C59×#552C22semidirect
286. C59×#552C22semidirect
287. D4×Q8×C59C22semidirect
288. C59×#548C22semidirect
290. C59×#547C22semidirect
291. C59×#533C22semidirect
292. C59×#533C22semidirect
293. C59×#529C22semidirect
294. C59×#529C22semidirect
296. C4×#41×C59C22semidirect
297. C4×#41×C59C22semidirect
298. C2×C4×Q8×C59C22semidirect
870. #11745687#41semidirect
1223. C4×D592−1+4semidirect
1312. #3482D59semidirect
1344. #557C2×D59semidirect
1357. #556C2×D59semidirect
1358. #556C2×D59semidirect
1393. #552C2×D59semidirect
1394. #552C2×D59semidirect
1409. D4×Q8C2×D59semidirect
1417. #548C2×D59semidirect
1431. #547C2×D59semidirect
1491. #533C2×D59semidirect
1492. #533C2×D59semidirect
1526. #529C2×D59semidirect
1527. #529C2×D59semidirect
1576. C4×#41C2×D59semidirect
1577. C4×#41C2×D59semidirect
1586. C2×C4×Q8C2×D59semidirect
1597. C59#62805semidirect

Maximal subgroups

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

subgroupindex
#214381912
#214381892
#214381462
#214381422
#214381382
#214381362
#214381062
#214380632
#214380612
#214380022
#214380002
#214379792
#214379742
#214379072
#214378752
#214378412
#214378392
#214377702
#214377142
#214377132
#214377112
#214377092
#214376742
#214376582
#214376482
#214375272
#214375252
#214373902
#214373892
C2×#168379562
#533×D592
C4×#142737742
C4×#41×D592
C59×#34822
#6280559