Finite Group Databasebeta

← #29497147

Subgroups — #29497147

Order 15104.

7104 conjugacy classes of subgroups.

The subgroup lattice has 1888 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438191C212yesmaximal, complemented
2#21438148C212yesmaximal, complemented
3#21438138C214yesmaximal, complemented
4#21438112C212yesmaximal, complemented
5#21438077C212yesmaximal, complemented
6#21438067C214yesmaximal, complemented
7#21437997C212yesmaximal, complemented
8#21437982C211yesmaximal, characteristic, complemented
9#21437975C212yesmaximal, complemented
10#21437912C211yesmaximal, characteristic, complemented
11#21437876C211yesmaximal, characteristic, complemented
12#21437849C212yesmaximal, complemented
13#21437846C214yesmaximal, complemented
14#21437771C212yesmaximal, complemented
15#21437715C212yesmaximal, complemented
16#21437712C214yesmaximal, complemented
17#21437708C212yesmaximal, complemented
18#21437675C212yesmaximal, complemented
19#21437655C214yesmaximal, complemented
20#21437653C212yesmaximal, complemented
21#21437524C212yesmaximal, complemented
22#21437522C214yesmaximal, complemented
23#21437391C211yesmaximal, characteristic, complemented
24#21437391C212yesmaximal, complemented
25C2×#16837957C211yesmaximal, characteristic, complemented
26#533×D59C212yesmaximal, complemented
27#21437307C212yesmaximal, complemented
28C4×#41×D59C211yesmaximal, characteristic, complemented
29C59×#3511C211yesmaximal, characteristic, complemented
30C2×#14273774C2212yes—
31C2×#41×D59C2211yescharacteristic
32#16838132C2212yescomplemented
33#16838130C2212yescomplemented
34#16838130C2212yescomplemented
35#16838129C2214yescomplemented
36#16838128C2214yescomplemented
37#16838127C2212yescomplemented
38#16838123C2214yescomplemented
39#16838122C2212yescomplemented
40#16838122C2212yescomplemented
41#16838121C2214yescomplemented
42#16838121C2218yescomplemented
43#16838120C2214yescomplemented
44#16838120C2214yescomplemented
45#16838116C2214yescomplemented
46#16838113C2212yescomplemented
47#16838111C2214yescomplemented
48#16838107C2214yes—
49#16838107C2214yescomplemented
50#16838106C2218yes—
51#16838102C2214yescomplemented
52#16838099C2214yescomplemented
53#16838093C2214yescomplemented
54#16838092C2214yescomplemented
55#16838092C2218yescomplemented
56#16838092C2214yescomplemented
57#16838091C2214yes—
58#16838091C2214yescomplemented
59#16838090C2214yescomplemented
60#16838089C2218yescomplemented
61#16838088C2218yes—
62#16838088C2218yescomplemented
63#16838087C2214yescomplemented
64#16838086C2214yescomplemented
65#16838086C2218yescomplemented
66#16838082C2218yes—
67#16838081C2218yes—
68#16838080C2218yes—
69D4×Dic118C2212yescomplemented
70D4×Dic118C2212yescomplemented
71#16838067C2212yescomplemented
72Q8×C22⋊D59C2214yescomplemented
73#16838065C2214yes—
74#16838060C2214yescomplemented
75#16838059C2214yescomplemented
76#16838058C2214yes—
77#16838057C2212yescomplemented
78#16838057C2212yescomplemented
79#16838054C2214yes—
80#16838052C2218yes—
81#16838052C2214yescomplemented
82#16838052C2214yescomplemented
83#16838051C2214yescomplemented
84#16838049C2214yes—
85#16838041C2218yes—
86#16838033C2212yescomplemented
87#16838029C2214yescomplemented
88#16838019C2214yescomplemented
89#16838019C2214yescomplemented
90#16838017C2214yescomplemented
91#16838016C2218yescomplemented
92#16838014C2214yescomplemented
93#16838012C2214yescomplemented
94#16838012C2214yescomplemented
95#16838010C2214yescomplemented
96#16838009C2218yescomplemented
97#16837998C2218yescomplemented
98#16837997C2218yescomplemented
99#16837995C2218yescomplemented
100#16837981C2214yes—
101#16837975C2214yes—
102#16837973C2212yes—
103#16837973C2212yescomplemented
104#16837972C2214yescomplemented
105#16837959C2212yescomplemented
106#16837959C2212yescomplemented
107#16837959C2211yescharacteristic, complemented
108#16837958C2214yes—
109#16837957C2212yes—
110#16837957C2212yes—
111#16837957C2211yescharacteristic
112#16837957C2212yes—
113#16837957C2212yes—
114#16837957C2212yescomplemented
115#16837957C2211yescharacteristic, complemented
116#16837957C2212yescomplemented
117#16837957C2212yescomplemented
118#16837957C2212yescomplemented
119#16837957C2212yescomplemented
120#16837956C2214yes—
121#16837956C2214yes—
122#16837955C2214yescomplemented
123#16837954C2214yescomplemented
124#16837954C2218yescomplemented
125#16837954C2214yescomplemented
126#16837954C2214yescomplemented
127#16837950C2211yescharacteristic
128#16837950C2211yescharacteristic, complemented
129#16837950C2212yescomplemented
130C2×#14273727C2211yescharacteristic, complemented
131C4⋊Q8×D59C2212yescomplemented
132C4⋊Q8×D59C2212yescomplemented
133#16837935C2218yescomplemented
134#16837934C2214yes—
135#16837934C2212yes—
136#16837934C2214yescomplemented
137#16837934C2212yescomplemented
138#16837933C2214yescomplemented
139#16837933C2212yescomplemented
140#16837933C2218yescomplemented
141#16837933C2214yescomplemented
142#16837933C2212yescomplemented
143#16837933C2214yescomplemented
144#16837931C2212yes—
145#16837931C2214yes—
146#16837931C2214yescomplemented
147#16837931C2218yescomplemented
148#16837931C2212yescomplemented
149#16837929C2218yescomplemented
150C2×#14273718C2212yescomplemented
151#125×D59C2214yescomplemented
152#16837912C2214yes—
153#16837912C2212yes—
154#16837912C2214yes—
155#16837912C2212yes—
156#16837909C2212yes—
157#16837909C2214yes—
158C2×#14273707C2212yes—
159C2×#14273703C2212yes—
160C22⋊Q8×D59C2214yes—
161C22⋊Q8×D59C2214yes—
162#16837883C2212yes—
163#16837883C2214yescomplemented
164#16837881C2214yescomplemented
165#16837881C2218yescomplemented
166#16837879C2212yescomplemented
167#16837879C2214yescomplemented
168#16837878C2214yescomplemented
169#41×Dic59C2211yescharacteristic
170#41×Dic59C2214yescomplemented
171#41×Dic59C2212yescomplemented
172C4×#11745689C2211yescharacteristic
173C4×#11745689C2211yescharacteristic
174C4×#11745685C2212yes—
175C4×#11745685C2211yescharacteristic
176#16837870C2212yes—
177#16837870C2211yescharacteristic
178#16837870C2214yescomplemented
179C4×#11745687C2211yescharacteristic
180C4×#11745687C2212yes—
181C4×#11745687C2212yes—
182C4×#11745687C2211yescharacteristic
183C4×#11745687C2212yes—
184C4×#11745687C2214yes—
185C4×#11745687C2212yescomplemented
186C4×#11745687C2218yescomplemented
187C4×#11745687C2214yescomplemented
188C2×Q8×Dic59C2212yescomplemented
189C2×#14273692C2214yescomplemented
190C2×#14273692C2212yescomplemented
191C4×Q8×D59C2211yescharacteristic
192C4×Q8×D59C2211yescharacteristic
193C4×Q8×D59C2214yescomplemented
194C4×Q8×D59C2214yescomplemented
195C4×D4×D59C2212yes—
196C4×D4×D59C2211yescharacteristic
197C4×D4×D59C2211yescharacteristic
198C4×D4×D59C2212yes—
199C2×#14273685C2212yes—
200#117×D59C2212yes—
201#117×D59C2211yescharacteristic
202#117×D59C2214yes—
203C2×C42×D59C2212yes—
204C2×C42×D59C2211yescharacteristic
205C59×#556C2212yescomplemented
206C59×#555C2212yescomplemented
207C59×#554C2212yescomplemented
208C59×#553C2214yescomplemented
209C59×#548C2214yescomplemented
210C59×#547C2212yescomplemented
211C59×#542C2214yescomplemented
212C59×#537C2212yes—
213C59×#533C2212yescomplemented
214C59×#532C2212yescomplemented
215C59×#532C2211yescharacteristic, complemented
216C2×C4⋊Q8×C59C2211yescharacteristic, complemented
217C59×#520C2212yescomplemented
218C4×#41×C59C2211yescharacteristic
219#14273774—216no—
220C2×#11745689C2311yescharacteristic
221C2×#11745685C2312yes—
222C2×#11745685C2314yes—
223C2×#11745685C2311yescharacteristic
224C2×#11745687C2312yes—
225C2×#11745687C2314yes—
226C2×#11745687C2312yes—
227C2×#11745687C2311yescharacteristic
228C2×#11745687C2318yes—
229C2×#11745687C2312yes—
230#41×D59—28no—
231C22×Dic118C2312yes—
232C22×Dic118C2314yes—
233C2×Q8×D59C2314yes—
234C2×Q8×D59C2311yescharacteristic
235C2×Q8×D59C2314yes—
236C2×D4×D59C2312yes—
237C2×D4×D59C2311yescharacteristic
238C22×C4×D59C2312yes—
239C22×C4×D59C2311yescharacteristic
240C22×C4×D59C2312yes—
241C22×C4×D59C2311yescharacteristic
242C22×C4×D59C2312yes—
243C22×C4×D59C2311yescharacteristic
244#14273727C2311yescharacteristic
245#14273727C2312yes—
246#14273727C2312yes—
247#14273727C2312yes—
248#14273727C2312yes—
249#14273727C2311yescharacteristic
250#14273726C2314yes—
251#14273726C2314yes—
252#14273726C2314yes—
253#14273726C2314yes—
254#14273726C2318yes—
255#14273726C2314yes—
256#14273725C2314yes—
257#14273725C2314yes—
258#14273725C2314yes—
259#14273725C2318yes—
260#14273722C2318yes—
261#14273721C2318yes—
262#14273720C2318yes—
263#14273720C2318yes—
264#14273720C2314yes—
265#14273720C2314yes—
266#14273720C2318yes—
267#14273720C2318yes—
268#14273720C2318yes—
269#14273720C2318yes—
270#14273720C2318yes—
271#14273720C2318yes—
272#14273719C2314yes—
273#14273719C2312yes—
274#14273719C2314yes—
275#14273719C2318yes—
276#14273718C2312yes—
277#14273718C2314yes—
278#14273718C2314yes—
279#14273718C2314yes—
280#14273718C2314yes—
281#14273718C2314yes—
282#14273718C2312yes—
283#14273718C2318yes—
284#14273718C2314yes—
285#14273717C2318yes—
286#14273717C2318yes—
287#14273717C2318yes—
288#14273717C2318yes—
289#14273717C2318yes—
290#14273717C2318yes—
291#14273717C2318yes—
292#14273714C2312yes—
293#14273714C2314yes—
294#14273714C2312yes—
295#14273714C2314yes—
296#14273714C2318yes—
297#14273713C2318yes—
298#14273713C2318yes—
299#14273712C2318yes—
300#14273710C2318yes—
301#14273709C2314yes—
302#14273709C2318yes—
303#14273709C2314yes—
304#14273709C2318yes—
305#14273709C2318yes—
306#14273709C2318yes—
307#14273709C2318yes—
308#14273708C2318yes—
309#14273708C2314yes—
310#14273708C2318yes—
311#14273708C2318yes—
312#14273708C2318yes—
313#14273707C2312yes—
314#14273707C2314yes—
315#14273707C2314yes—
316#14273707C2314yes—
317#14273707C2314yes—
318#14273707C2312yes—
319#14273707C2314yes—
320#14273706C2314yes—
321#14273706C2314yes—
322#14273706C2314yes—
323#14273706C2312yes—
324#14273706C2314yes—
325#14273706C2312yes—
326#14273706C2314yes—
327#14273706C2318yes—
328#14273706C2314yes—
329#14273706C2318yes—
330#14273705C2318yes—
331#14273705C2318yes—
332#14273705C2318yes—
333#14273704C2318yes—
334#14273704C2318yes—
335#14273704C2318yes—
336#14273704C2318yes—
337#14273704C2318yes—
338#14273704C2318yes—
339#14273703C2312yes—
340#14273703C2314yes—
341#14273703C2314yes—
342#14273703C2314yes—
343#14273703C2314yes—
344#14273703C2312yes—
345#14273703C2314yes—
346#14273703C2318yes—
347#14273700C2318yes—
348#14273699C2318yes—
349#14273698C2312yes—
350#14273698C2312yes—
351#14273698C2312yes—
352#14273698C2314yes—
353#14273698C2314yes—
354#14273698C2312yes—
355#14273698C2318yes—
356#14273695C2314yes—
357#14273695C2318yes—
358Q8×Dic59C2312yes—
359Q8×Dic59C2314yes—
360Q8×Dic59C2314yes—
361Q8×Dic59C2312yes—
362Q8×Dic59C2314yes—
363Q8×Dic59C2311yescharacteristic
364Q8×Dic59C2314yes—
365Q8×Dic59C2314yes—
366Q8×Dic59C2311yescharacteristic
367C4×Dic118C2314yes—
368C4×Dic118C2312yes—
369C4×Dic118C2314yes—
370C4×Dic118C2312yes—
371C4×Dic118C2318yes—
372C4×Dic118C2318yes—
373C4×Dic118C2314yes—
374C4×Dic118C2314yes—
375C4×Dic118C2311yescharacteristic
376C4×Dic118C2311yescharacteristic
377C4×Dic118C2318yes—
378C4×Dic118C2312yes—
379C4×Dic118C2312yes—
380#14273692C2318yes—
381#14273692C2318yes—
382#14273692C2312yes—
383#14273692C2314yes—
384#14273692C2314yes—
385#14273692C2312yes—
386#14273692C2314yes—
387#14273692C2312yes—
388#14273692C2314yes—
389#14273692C2314yes—
390#14273692C2312yes—
391#14273692C2314yes—
392#14273692C2314yes—
393#14273692C2318yes—
394#14273692C2314yes—
395#14273692C2311yescharacteristic
396#14273692C2311yescharacteristic
397C4×D236C2311yescharacteristic
398C4×D236C2311yescharacteristic
399C4×D236C2312yes—
400C4×D236C2312yes—
401D4×Dic59C2318yes—
402D4×Dic59C2314yes—
403D4×Dic59C2314yes—
404D4×Dic59C2318yes—
405D4×Dic59C2312yes—
406D4×Dic59C2314yes—
407D4×Dic59C2312yes—
408D4×Dic59C2312yes—
409D4×Dic59C2311yescharacteristic
410D4×Dic59C2312yes—
411D4×Dic59C2314yes—
412D4×Dic59C2312yes—
413D4×Dic59C2312yes—
414D4×Dic59C2311yescharacteristic
415#14273689C2312yes—
416#14273689C2312yes—
417#14273689C2314yes—
418#14273689C2311yescharacteristic
419#14273689C2311yescharacteristic
420C4×C22⋊D59C2314yes—
421C4×C22⋊D59C2318yes—
422C4×C22⋊D59C2318yes—
423C4×C22⋊D59C2314yes—
424C4×C22⋊D59C2318yes—
425C4×C22⋊D59C2312yes—
426C4×C22⋊D59C2312yes—
427C4×C22⋊D59C2312yes—
428C4×C22⋊D59C2312yes—
429C4×C22⋊D59C2318yes—
430C4×C22⋊D59C2312yes—
431C4×C22⋊D59C2312yes—
432(C22⋊D59)⋊C4C2314yes—
433(C22⋊D59)⋊C4C2318yes—
434(C22⋊D59)⋊C4C2314yes—
435(C22⋊D59)⋊C4C2318yes—
436(C22⋊D59)⋊C4C2312yes—
437(C22⋊D59)⋊C4C2312yes—
438(C22⋊D59)⋊C4C2312yes—
439(C22⋊D59)⋊C4C2312yes—
440(C22⋊D59)⋊C4C2318yes—
441(C22⋊D59)⋊C4C2312yes—
442(C22⋊D59)⋊C4C2312yes—
443#14273686C2312yes—
444#14273686C2314yes—
445#14273686C2314yes—
446#14273686C2318yes—
447#14273686C2314yes—
448#14273686C2311yescharacteristic
449#14273686C2312yes—
450#14273685C2314yes—
451#14273685C2312yes—
452#14273685C2314yes—
453#14273685C2312yes—
454#14273685C2314yes—
455#14273685C2314yes—
456#14273685C2314yes—
457#14273685C2318yes—
458#14273685C2312yes—
459#14273685C2311yescharacteristic
460#14273685C2312yes—
461#14273685C2311yescharacteristic
462#14273684C2318yes—
463#14273684C2312yes—
464#14273684C2312yes—
465#14273684C2318yes—
466#14273684C2312yes—
467#14273683C2318yes—
468#14273683C2318yes—
469#14273683C2314yes—
470#14273683C2314yes—
471#14273683C2318yes—
472#14273683C2318yes—
473#14273683C2318yes—
474#14273683C2312yes—
475#14273683C2312yes—
476#14273683C2312yes—
477C2×C4⋊Dic59C2312yes—
478C2×C4⋊Dic59C2314yes—
479C2×C4⋊Dic59C2312yes—
480C2×Dic59⋊C4C2314yes—
481C2×Dic59⋊C4C2318yes—
482C4⋊C4×D59C2318yes—
483C4⋊C4×D59C2318yes—
484C4⋊C4×D59C2314yes—
485C4⋊C4×D59C2314yes—
486C4⋊C4×D59C2314yes—
487C4⋊C4×D59C2314yes—
488C4⋊C4×D59C2312yes—
489C4⋊C4×D59C2311yescharacteristic
490C4⋊C4×D59C2312yes—
491C4⋊C4×D59C2311yescharacteristic
492C2×(C2×D59)⋊C4C2314yes—
493C22⋊C4×D59C2318yes—
494C22⋊C4×D59C2312yes—
495C22⋊C4×D59C2312yes—
496C22⋊C4×D59C2312yes—
497C2×C4×Dic59C2311yescharacteristic
498C2×C4×Dic59C2318yes—
499C2×C4×Dic59C2312yes—
500C2×C4×Dic59C2312yes—
501C2×C4×Dic59C2311yescharacteristic
502C2×C4×Dic59C2314yes—
503C2×C4×Dic59C2314yes—
504C2×C4×Dic59C2312yes—
505C2×C4×Dic59C2311yescharacteristic
506C42×D59C2312yes—
507C42×D59C2312yes—
508C42×D59C2311yescharacteristic
509C42×D59C2311yescharacteristic
510C42×D59C2312yes—
511C42×D59C2318yes—
512C42×D59C2312yes—
513C42×D59C2311yescharacteristic
514C42×D59C2311yescharacteristic
515C42×D59C2312yes—
516C42×D59C2311yescharacteristic
517C42×D59C2311yescharacteristic
518C42×D59C2311yescharacteristic
519C42×D59C2311yescharacteristic
520C42×D59C2312yes—
521C42×D59C2312yes—
522C2×#41×C59C2312yes—
523C2×#41×C59C2311yescharacteristic
524C2×#41×C59C2314yes—
525C22×Q8×C59C2312yes—
526C4⋊Q8×C59C2311yescharacteristic
527C4⋊Q8×C59C2312yes—
528C4⋊Q8×C59C2312yes—
529C4⋊Q8×C59C2312yes—
530C4⋊Q8×C59C2312yes—
531#127×C59C2311yescharacteristic
532#126×C59C2318yes—
533#125×C59C2314yes—
534#124×C59C2312yes—
535#124×C59C2314yes—
536#124×C59C2318yes—
537#123×C59C2318yes—
538C22⋊Q8×C59C2314yes—
539C22⋊Q8×C59C2314yes—
540C22⋊Q8×C59C2318yes—
541C22⋊Q8×C59C2314yes—
542#121×C59C2314yes—
543#121×C59C2312yes—
544#121×C59C2312yes—
545#121×C59C2314yes—
546#121×C59C2318yes—
547#121×C59C2314yes—
548C4×Q8×C59C2314yes—
549C4×Q8×C59C2314yes—
550C4×Q8×C59C2311yescharacteristic
551C4×Q8×C59C2311yescharacteristic
552C4×D4×C59C2314yes—
553C4×D4×C59C2312yes—
554C4×D4×C59C2312yes—
555C4×D4×C59C2314yes—
556C4×D4×C59C2312yes—
557C4×D4×C59C2312yes—
558C4×D4×C59C2311yescharacteristic
559C4×D4×C59C2311yescharacteristic
560C4×D4×C59C2318yes—
561#117×C59C2314yes—
562#117×C59C2312yes—
563#117×C59C2311yescharacteristic
564#117×C59C2314yes—
565C2×C4⋊C4×C59C2312yes—
566C2×C4⋊C4×C59C2312yes—
567C2×C4⋊C4×C59C2314yes—
568C2×C42×C59C2311yescharacteristic
569C2×C42×C59C2312yes—
570C23×D59C2412yes—
571C23×D59C2411yescharacteristic
572#41×C59—24no—
573#41×C59—28no—
574#41×C59—48no—
575C2×Q8×C59—44no—
576C2×Q8×C59C2411yescharacteristic
577C2×Q8×C59C2412yes—
578C2×Q8×C59C2414yes—
579C2×Q8×C59C2414yes—
580C2×D4×C59C2412yes—
581C2×D4×C59C2414yes—
582C2×D4×C59C2412yes—
583C2×D4×C59C2411yescharacteristic
584C2×D4×C59C2412yes—
585C2×D4×C59C2412yes—
586C2×D4×C59C2418yes—
587C22×C4×C59C2411yescharacteristic
588C22×C4×C59C2412yes—
589C22×C4×C59C2412yes—
590C22×C4×C59C2411yescharacteristic
591C22×C4×C59C2412yes—
592C22×C4×C59C2414yes—
593C22×C4×C59C2414yes—
594C22×C4×C59C2418yes—
595C22×C4×C59C2411yescharacteristic
596C2×C22⋊D59C2414yes—
597C2×C22⋊D59C2418yes—
598C2×C22⋊D59C2412yes—
599C2×C22⋊D59C2412yes—
600C2×C22⋊D59C2414yes—
601C2×C22⋊D59C2412yes—
602C22×Dic59C2411yescharacteristic
603C22×Dic59C2414yes—
604C22×Dic59C2411yescharacteristic
605C22×Dic59C2412yes—
606C22×Dic59C2412yes—
607C22×Dic59C2414yes—
608C22×Dic59C2418yes—
609C22×Dic59C2411yescharacteristic
610C22×Dic59C2412yes—
611C22×Dic59C2414yes—
612#11745689—24no—
613Q8×D59—216no—
614Q8×D59—24no—
615Q8×D59—48no—
616#11745687—28no—
617#11745687—232no—
618#11745687—216no—
619#11745687—28no—
620#11745687—24no—
621#11745687—44no—
622D4×D59—28no—
623D4×D59—24no—
624#11745685—216no—
625#11745685—28no—
626#11745685#4118yescomplemented
627C2×D236C2412yes—
628C2×D236C2411yescharacteristic
629C2×C4×D59—24no—
630C2×C4×D59—28no—
631C2×C4×D59—28no—
632C2×C4×D59—24no—
633C2×C4×D59—42no—
634C2×C4×D59—44no—
635C2×C4×D59C2412yes—
636C2×C4×D59C2411yescharacteristic
637C2×C4×D59C2411yescharacteristic
638C2×C4×D59C2412yes—
639C2×C4×D59C2411yescharacteristic
640C2×C4×D59C2412yes—
641C2×C4×D59C2412yes—
642C2×C4×D59C2412yes—
643C2×C4×D59C2411yescharacteristic
644C2×C4×D59C2412yes—
645C2×C4×D59C2411yescharacteristic
646C2×C4×D59C2411yescharacteristic
647C2×C4×D59C2411yescharacteristic
648C2×C4×D59C2411yescharacteristic
649C2×C4×D59C2411yescharacteristic
650C2×C4×D59C2418yes—
651C2×C4×D59C2411yescharacteristic
652C2×C4×D59C2412yes—
653C2×C4×D59C2412yes—
654C2×C4×D59C2411yescharacteristic
655C2×C4×D59C2418yes—
656C2×C4×D59C2412yes—
657C2×C4×D59C2411yescharacteristic
658C2×Dic118—28no—
659C2×Dic118—216no—
660C2×Dic118C2414yes—
661C2×Dic118C2412yes—
662C2×Dic118C2412yes—
663C2×Dic118C2418yes—
664C2×Dic118C2414yes—
665C2×Dic118C2412yes—
666C2×Dic118C2418yes—
667C2×Dic118C2411yescharacteristic
668C4⋊C4×C59C2411yescharacteristic
669C4⋊C4×C59C2414yes—
670C4⋊C4×C59C2414yes—
671C4⋊C4×C59C2414yes—
672C4⋊C4×C59C2418yes—
673C4⋊C4×C59C2414yes—
674C4⋊C4×C59C2411yescharacteristic
675C4⋊C4×C59C2412yes—
676C4⋊C4×C59C2412yes—
677C4⋊C4×C59C2412yes—
678C4⋊C4×C59C2412yes—
679C4⋊C4×C59C2418yes—
680C22⋊C4×C59C2412yes—
681C22⋊C4×C59C2418yes—
682C22⋊C4×C59C2412yes—
683C22⋊C4×C59C2412yes—
684C22⋊C4×C59C2418yes—
685C22⋊C4×C59C2418yes—
686C22⋊C4×C59C2414yes—
687C22⋊C4×C59C2414yes—
688C42×C59C2411yescharacteristic
689C42×C59C2412yes—
690C42×C59C2411yescharacteristic
691C42×C59C2412yes—
692C42×C59C2411yescharacteristic
693C42×C59C2411yescharacteristic
694C42×C59C2412yes—
695C42×C59C2418yes—
696C22⋊Dic59C2412yes—
697C22⋊Dic59C2412yes—
698C22⋊Dic59C2412yes—
699C22⋊Dic59C2418yes—
700C22⋊Dic59C2414yes—
701C22⋊Dic59C2414yes—
702C22⋊Dic59C2414yes—
703C22⋊Dic59C2414yes—
704C22⋊Dic59C2414yes—
705C22⋊Dic59C2418yes—
706C22⋊Dic59C2418yes—
707C22⋊Dic59C2418yes—
708(C2×D59)⋊C4C2414yes—
709(C2×D59)⋊C4C2418yes—
710(C2×D59)⋊C4C2412yes—
711(C2×D59)⋊C4C2412yes—
712(C2×D59)⋊C4C2412yes—
713(C2×D59)⋊C4C2412yes—
714(C2×D59)⋊C4C2412yes—
715(C2×D59)⋊C4C2412yes—
716(C2×D59)⋊C4C2418yes—
717(C2×D59)⋊C4C2418yes—
718(C2×D59)⋊C4C2414yes—
719C4⋊Dic59C2412yes—
720C4⋊Dic59C2412yes—
721C4⋊Dic59C2414yes—
722C4⋊Dic59C2414yes—
723C4⋊Dic59C2414yes—
724C4⋊Dic59C2418yes—
725C4⋊Dic59C2412yes—
726C4⋊Dic59C2411yescharacteristic
727C4⋊Dic59C2411yescharacteristic
728C4⋊Dic59C2412yes—
729C4⋊Dic59C2414yes—
730C4⋊Dic59C2418yes—
731C4⋊Dic59C2414yes—
732C4⋊Dic59C2412yes—
733C4⋊Dic59C2414yes—
734C4⋊Dic59C2412yes—
735C4⋊Dic59C2418yes—
736Dic59⋊C4C2414yes—
737Dic59⋊C4C2412yes—
738Dic59⋊C4C2418yes—
739Dic59⋊C4C2418yes—
740Dic59⋊C4C2418yes—
741Dic59⋊C4C2412yes—
742Dic59⋊C4C2412yes—
743Dic59⋊C4C2412yes—
744Dic59⋊C4C2412yes—
745Dic59⋊C4C2412yes—
746Dic59⋊C4C2418yes—
747Dic59⋊C4C2418yes—
748Dic59⋊C4C2418yes—
749Dic59⋊C4C2418yes—
750Dic59⋊C4C2418yes—
751Dic59⋊C4C2418yes—
752Dic59⋊C4C2414yes—
753Dic59⋊C4C2414yes—
754Dic59⋊C4C2418yes—
755Dic59⋊C4C2418yes—
756Dic59⋊C4C2414yes—
757C4×Dic59C2411yescharacteristic
758C4×Dic59C2411yescharacteristic
759C4×Dic59C2411yescharacteristic
760C4×Dic59C2412yes—
761C4×Dic59C2411yescharacteristic
762C4×Dic59C2411yescharacteristic
763C4×Dic59C2412yes—
764C4×Dic59C2411yescharacteristic
765C4×Dic59C2412yes—
766C4×Dic59C2414yes—
767C4×Dic59C2412yes—
768C4×Dic59C2412yes—
769C4×Dic59C2411yescharacteristic
770C4×Dic59C2411yescharacteristic
771C4×Dic59C2412yes—
772C4×Dic59C2411yescharacteristic
773C4×Dic59C2411yescharacteristic
774C4×Dic59C2411yescharacteristic
775C4×Dic59C2412yes—
776C4×Dic59C2412yes—
777C4×Dic59C2411yescharacteristic
778C4×Dic59C2412yes—
779C4×Dic59C2418yes—
780C4×Dic59C2418yes—
781C4×Dic59C2414yes—
782C4×Dic59C2418yes—
783C4×Dic59C2418yes—
784C4×Dic59C2418yes—
785C4×Dic59C2414yes—
786C23×C59C2512yes—
787C23×C59C2514yes—
788C23×C59C2511yescharacteristic
789C22×D59—22no—
790C22×D59—24no—
791C22×D59—24no—
792C22×D59—22no—
793C22×D59—42no—
794C22×D59—41no—
795C22×D59C2511yescharacteristic
796C22×D59C2512yes—
797C22×D59C2511yescharacteristic
798Q8×C59—24no—
799Q8×C59—22no—
800Q8×C59—28no—
801Q8×C59—44no—
802D4×C59—24no—
803D4×C59—28no—
804D4×C59—22no—
805D4×C59—24no—
806D4×C59—24no—
807D4×C59—24no—
808D4×C59—48no—
809C2×C4×C59—28no—
810C2×C4×C59—24no—
811C2×C4×C59—22no—
812C2×C4×C59—24no—
813C2×C4×C59—22no—
814C2×C4×C59—24no—
815C2×C4×C59—44no—
816C2×C4×C59—48no—
817C2×C4×C59C2×#4114yes—
818C2×C4×C59C2512yes—
819C2×C4×C59C2512yes—
820C2×C4×C59C2518yes—
821C2×C4×C59C2512yes—
822C2×C4×C59C2511yescharacteristic
823C2×C4×C59C2511yescharacteristic
824C2×C4×C59C2514yes—
825C2×C4×C59C2511yescharacteristic
826C2×C4×C59C2511yescharacteristic
827C2×C4×C59C2511yescharacteristic
828C2×C4×C59C2511yescharacteristic
829C22⋊D59—24no—
830C22⋊D59—216no—
831C22⋊D59—28no—
832C22⋊D59—24no—
833C22⋊D59—44no—
834C22⋊D59C2×#4118yes—
835C2×Dic59—28no—
836C2×Dic59—22no—
837C2×Dic59—216no—
838C2×Dic59—24no—
839C2×Dic59—22no—
840C2×Dic59—24no—
841C2×Dic59—28no—
842C2×Dic59—42no—
843C2×Dic59—41no—
844C2×Dic59—44no—
845C2×Dic59C2511yescharacteristic
846C2×Dic59C2511yescharacteristic
847C2×Dic59C2511yescharacteristic
848C2×Dic59C2511yescharacteristic
849C2×Dic59C2514yes—
850C2×Dic59C2514yes—
851C2×Dic59C2512yes—
852C2×Dic59C2512yes—
853C2×Dic59C2511yescharacteristic
854C2×Dic59C2518yes—
855C2×Dic59C2512yes—
856C2×Dic59C2511yescharacteristic
857D236—24no—
858D236C2×#4114yes—
859C4×D59—24no—
860C4×D59—216no—
861C4×D59—24no—
862C4×D59—22no—
863C4×D59—22no—
864C4×D59—22no—
865C4×D59—22no—
866C4×D59—22no—
867C4×D59—24no—
868C4×D59—22no—
869C4×D59—22no—
870C4×D59—22no—
871C4×D59—24no—
872C4×D59—24no—
873C4×D59—24no—
874C4×D59—22no—
875C4×D59—42no—
876C4×D59—42no—
877C4×D59—41no—
878C4×D59—41no—
879C4×D59—48no—
880C4×D59C2×#4118yes—
881C4×D592−1+414yescomplemented
882Dic118—28no—
883Dic118—28no—
884Dic118—24no—
885Dic118—24no—
886Dic118—216no—
887Dic118—24no—
888Dic118—48no—
889Dic118C2×#4114yes—
890#62805—591nomaximal, Sylow
891C22×C59—21no—
892C22×C59—21no—
893C22×C59—24no—
894C22×C59—22no—
895C22×C59—24no—
896C22×C59—22no—
897C22×C59—24no—
898C22×C59—22no—
899C22×C59C22×#4112yes—
900C22×C59C2611yescharacteristic
901C2×D59—21no—
902C2×D59—22no—
903C2×D59—22no—
904C2×D59—21no—
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—48no—
909C2×D59—44no—
910C2×D59C22×#4114yes—
911C2×D59C2×2−1+412yes—
912C4×C59—24no—
913C4×C59—22no—
914C4×C59—22no—
915C4×C59—21no—
916C4×C59—28no—
917C4×C59—22no—
918C4×C59—21no—
919C4×C59C22×#4112yes—
920C4×C59C22×#4112yes—
921C4×C59C2×2−1+412yes—
922C4×C59#58512yes—
923Dic59—28no—
924Dic59—21no—
925Dic59—21no—
926Dic59—24no—
927Dic59—21no—
928Dic59—22no—
929Dic59—24no—
930Dic59—22no—
931Dic59—21no—
932Dic59—21no—
933Dic59C22×#4114yes—
934Dic59C2×2−1+412yes—
935#3523—592no—
936#3520—594no—
937#3520—592no—
938#3518—592no—
939#3515—592no—
940#3515—594no—
941#3511—592no—
942#3511D5911yescharacteristic, complemented
943#3509—592no—
944#3509—591no—
945#3503—591no—
946#3499—591no—
947#3495—594no—
948#3495—592no—
949#3489—592no—
950#3482—592no—
951#3482—594no—
952#3482—592no—
953Q8×#41—592no—
954#3475—592no—
955#3475—594no—
956#3461—594no—
957#3461—592no—
958#3444—591no—
959#3444—592no—
960C2×#533—592no—
961C2×#533—591no—
962C4×2−1+4—592no—
963C2×C4×#41—591no—
964C2×C59—22no—
965C2×C59—42no—
966C2×C59—44no—
967C2×C59C23×#4111yescharacteristic
968C2×C59C22×2−1+411yescharacteristic
969C2×C59C2×#58511yescharacteristic
970D59—22no—
971D59—24no—
972D59—41no—
973C2×2−1+4—592no—
974C22×#41—591no—
975Q82—592no—
976#557—592no—
977#557—594no—
978#557—592no—
979#557—594no—
980#557—592no—
981#556—598no—
982#556—594no—
983#556—594no—
984#556—592no—
985#556—592no—
986#556—594no—
987#556—594no—
988#556C2×D5912yescomplemented
989#555—594no—
990#555C2×D5912yescomplemented
991#554—592no—
992#554—598no—
993#554—594no—
994#554—594no—
995#554—594no—
996#554C2×D5912yescomplemented
997#553—594no—
998#553—594no—
999#553C2×D5914yescomplemented
1000#552—598no—
1001#552—598no—
1002#552—594no—
1003#552—598no—
1004#552—598no—
1005#552—594no—
1006#552—594no—
1007#552—594no—
1008#552—598no—
1009#552—594no—
1010#552—594no—
1011#552—594no—
1012#552—594no—
1013#551—598no—
1014#551—598no—
1015#551—598no—
1016D4×Q8—594no—
1017D4×Q8—592no—
1018D4×Q8—594no—
1019D4×Q8—592no—
1020D4×Q8—592no—
1021#548—594no—
1022#548—594no—
1023#548—594no—
1024#548C2×D5914yescomplemented
1025#547—594no—
1026#547—594no—
1027#547—594no—
1028#547—598no—
1029#547—594no—
1030#547—592no—
1031#547—592no—
1032#547C2×D5912yescomplemented
1033#546—598no—
1034#546—594no—
1035#544—594no—
1036#544—592no—
1037#542—598no—
1038#542—594no—
1039#542—594no—
1040#542—594no—
1041#542C2×D5914yescomplemented
1042#541—598no—
1043#541—594no—
1044#541—594no—
1045#541—594no—
1046#541—594no—
1047#539—598no—
1048#539—598no—
1049#539—598no—
1050#537—594no—
1051#537C2×D5912yes—
1052#536—592no—
1053#536—592no—
1054#536—594no—
1055#536—594no—
1056#533—591no—
1057#533—592no—
1058#533—592no—
1059#533—592no—
1060#533—592no—
1061#533—592no—
1062#533—592no—
1063#533—592no—
1064#533—592no—
1065#533—592no—
1066#533—591no—
1067#533—594no—
1068#533—594no—
1069#533—594no—
1070#533—594no—
1071#533—598no—
1072#533—594no—
1073#533—594no—
1074#533—594no—
1075#533—592no—
1076#533—591no—
1077#533—592no—
1078#533C2×D5912yescomplemented
1079#532—591no—
1080#532—592no—
1081#532—591no—
1082#532C2×D5911yescharacteristic, complemented
1083#532C2×D5912yescomplemented
1084C2×C4⋊Q8—592no—
1085C2×C4⋊Q8—592no—
1086C2×C4⋊Q8—591no—
1087C2×C4⋊Q8C2×D5911yescharacteristic, complemented
1088#529—598no—
1089#529—592no—
1090#529—594no—
1091#529—592no—
1092#529—594no—
1093#529—598no—
1094#529—598no—
1095#529—594no—
1096#529—592no—
1097#529—592no—
1098#529—594no—
1099#529—598no—
1100#529—594no—
1101#529—594no—
1102#529—592no—
1103#529—594no—
1104#529—592no—
1105C2×#125—594no—
1106C2×#125—592no—
1107#525—592no—
1108#525—594no—
1109#525—592no—
1110#525—594no—
1111#525—594no—
1112#525—592no—
1113C2×C22⋊Q8—592no—
1114C2×C22⋊Q8—594no—
1115C2×C22⋊Q8—594no—
1116C2×C22⋊Q8—592no—
1117#520—594no—
1118#520—598no—
1119#520—592no—
1120#520—594no—
1121#520C2×D5912yescomplemented
1122#519—594no—
1123#519—592no—
1124#519—594no—
1125C4×#41—591no—
1126C4×#41—592no—
1127C4×#41—594no—
1128C4×#41—591no—
1129C4×#41—591no—
1130C4×#41—592no—
1131C4×#41—591no—
1132C4×#41—592no—
1133C4×#41—591no—
1134C4×#41—594no—
1135C4×#41—598no—
1136C4×#41—594no—
1137C4×#41—592no—
1138C4×#41—592no—
1139C4×#41—591no—
1140C4×#41—592no—
1141C4×#41—594no—
1142C4×#41—591no—
1143C4×#41—592no—
1144C4×#41C2×D5911yescharacteristic
1145C2×C4×Q8—592no—
1146C2×C4×Q8—591no—
1147C2×C4×Q8—591no—
1148C2×C4×Q8—594no—
1149C2×C4×Q8—594no—
1150C2×C4×Q8—592no—
1151C2×C4×Q8—594no—
1152C2×C4×D4—592no—
1153C2×C4×D4—591no—
1154C2×C4×D4—592no—
1155C2×C4×D4—591no—
1156C2×#117—591no—
1157C2×#117—592no—
1158C2×#117—594no—
1159C2×#117—592no—
1160C22×C42—591no—
1161C22×C42—592no—
1162C59#6280511yescharacteristic, complemented, Sylow
11632−1+4—11816no—
1164C2×#41—591no—
1165C2×#41—592no—
1166C2×#41—592no—
1167C2×#41—591no—
1168C2×#41—594no—
1169C2×#41—598no—
1170C2×#41—592no—
1171C2×#41—591no—
1172C2×#41—592no—
1173C2×#41—594no—
1174C2×#41—1188no—
1175C2×#41C22×D5911yescharacteristic
1176C2×#41C22×D5912yes—
1177C2×#41C22×D5914yes—
1178C22×Q8—591no—
1179C22×Q8—594no—
1180C22×Q8—594no—
1181C22×Q8—592no—
1182C22×Q8—594no—
1183C22×Q8C22×D5912yes—
1184C22×D4—592no—
1185C22×D4—591no—
1186C23×C4—591no—
1187C23×C4—592no—
1188C23×C4—592no—
1189C23×C4—591no—
1190C23×C4—591no—
1191C23×C4—592no—
1192C4⋊Q8—594no—
1193C4⋊Q8—594no—
1194C4⋊Q8—594no—
1195C4⋊Q8—598no—
1196C4⋊Q8—594no—
1197C4⋊Q8—594no—
1198C4⋊Q8—594no—
1199C4⋊Q8—594no—
1200C4⋊Q8—598no—
1201C4⋊Q8—594no—
1202C4⋊Q8—592no—
1203C4⋊Q8—591no—
1204C4⋊Q8—592no—
1205C4⋊Q8—592no—
1206C4⋊Q8—592no—
1207C4⋊Q8—591no—
1208C4⋊Q8C22×D5911yescharacteristic
1209C4⋊Q8C22×D5912yes—
1210C4⋊Q8C22×D5912yes—
1211C4⋊Q8C22×D5912yes—
1212C4⋊Q8C22×D5912yes—
1213#127C22×D5911yescharacteristic
1214#126—598no—
1215#126—594no—
1216#126—598no—
1217#126—594no—
1218#126—598no—
1219#126—598no—
1220#126—598no—
1221#126—598no—
1222#126—598no—
1223#126—598no—
1224#126—598no—
1225#126—598no—
1226#126C22×D5918yes—
1227#125—592no—
1228#125—594no—
1229#125—598no—
1230#125—594no—
1231#125—598no—
1232#125—594no—
1233#125—594no—
1234#125—594no—
1235#125—592no—
1236#125—598no—
1237#125—598no—
1238#125—598no—
1239#125—594no—
1240#125—598no—
1241#125—598no—
1242#125—598no—
1243#125—594no—
1244#125—592no—
1245#125—594no—
1246#125—598no—
1247#125C22×D5914yes—
1248#124—592no—
1249#124—594no—
1250#124—592no—
1251#124—594no—
1252#124—598no—
1253#124—598no—
1254#124—598no—
1255#124C22×D5912yes—
1256#124C22×D5914yes—
1257#124C22×D5918yes—
1258#123—598no—
1259#123—594no—
1260#123—598no—
1261#123—598no—
1262#123—598no—
1263#123—598no—
1264#123—598no—
1265#123—594no—
1266#123—598no—
1267#123—594no—
1268#123—598no—
1269#123—598no—
1270#123—598no—
1271#123—598no—
1272#123C22×D5918yes—
1273C22⋊Q8—594no—
1274C22⋊Q8—592no—
1275C22⋊Q8—594no—
1276C22⋊Q8—594no—
1277C22⋊Q8—594no—
1278C22⋊Q8—592no—
1279C22⋊Q8—594no—
1280C22⋊Q8—598no—
1281C22⋊Q8—594no—
1282C22⋊Q8—594no—
1283C22⋊Q8—594no—
1284C22⋊Q8—592no—
1285C22⋊Q8—592no—
1286C22⋊Q8—594no—
1287C22⋊Q8—594no—
1288C22⋊Q8—598no—
1289C22⋊Q8—594no—
1290C22⋊Q8—598no—
1291C22⋊Q8—592no—
1292C22⋊Q8—594no—
1293C22⋊Q8—594no—
1294C22⋊Q8—598no—
1295C22⋊Q8—594no—
1296C22⋊Q8—594no—
1297C22⋊Q8—598no—
1298C22⋊Q8—594no—
1299C22⋊Q8—592no—
1300C22⋊Q8—598no—
1301C22⋊Q8—598no—
1302C22⋊Q8—598no—
1303C22⋊Q8—598no—
1304C22⋊Q8—598no—
1305C22⋊Q8—598no—
1306C22⋊Q8—598no—
1307C22⋊Q8C22×D5914yes—
1308C22⋊Q8C22×D5914yes—
1309C22⋊Q8C22×D5914yes—
1310C22⋊Q8C22×D5918yes—
1311#121—592no—
1312#121—592no—
1313#121—592no—
1314#121—594no—
1315#121—594no—
1316#121—592no—
1317#121—598no—
1318#121—598no—
1319#121—598no—
1320#121C22×D5914yes—
1321#121C22×D5912yes—
1322#121C22×D5912yes—
1323#121C22×D5914yes—
1324#121C22×D5918yes—
1325#121C22×D5914yes—
1326#120—594no—
1327#120—598no—
1328C4×Q8—594no—
1329C4×Q8—592no—
1330C4×Q8—591no—
1331C4×Q8—591no—
1332C4×Q8—594no—
1333C4×Q8—594no—
1334C4×Q8—594no—
1335C4×Q8—592no—
1336C4×Q8—594no—
1337C4×Q8—591no—
1338C4×Q8—598no—
1339C4×Q8—592no—
1340C4×Q8—594no—
1341C4×Q8—594no—
1342C4×Q8—591no—
1343C4×Q8—592no—
1344C4×Q8—592no—
1345C4×Q8—594no—
1346C4×Q8—594no—
1347C4×Q8—594no—
1348C4×Q8—598no—
1349C4×Q8—594no—
1350C4×Q8—598no—
1351C4×Q8—594no—
1352C4×Q8—592no—
1353C4×Q8—594no—
1354C4×Q8—591no—
1355C4×Q8—591no—
1356C4×Q8—592no—
1357C4×Q8—592no—
1358C4×Q8—598no—
1359C4×Q8—594no—
1360C4×Q8—594no—
1361C4×Q8—598no—
1362C4×Q8—594no—
1363C4×Q8—598no—
1364C4×Q8—592no—
1365C4×Q8—594no—
1366C4×Q8—592no—
1367C4×Q8C22×D5911yescharacteristic
1368C4×Q8C22×D5911yescharacteristic
1369C4×Q8C22×D5914yes—
1370C4×Q8C22×D5914yes—
1371C4×D4—591no—
1372C4×D4—592no—
1373C4×D4—592no—
1374C4×D4—591no—
1375C4×D4—594no—
1376C4×D4—592no—
1377C4×D4—592no—
1378C4×D4—594no—
1379C4×D4—592no—
1380C4×D4—598no—
1381C4×D4—598no—
1382C4×D4—594no—
1383C4×D4—594no—
1384C4×D4—592no—
1385C4×D4—592no—
1386C4×D4—592no—
1387C4×D4—592no—
1388C4×D4—592no—
1389C4×D4—592no—
1390C4×D4—592no—
1391C4×D4—598no—
1392C4×D4—598no—
1393C4×D4—598no—
1394C4×D4—594no—
1395C4×D4—594no—
1396C4×D4—598no—
1397C4×D4—591no—
1398C4×D4—591no—
1399C4×D4—592no—
1400C4×D4—592no—
1401C4×D4—594no—
1402C4×D4—592no—
1403C4×D4—592no—
1404C4×D4—592no—
1405C4×D4—592no—
1406C4×D4—592no—
1407C4×D4—592no—
1408C4×D4—598no—
1409C4×D4—598no—
1410C4×D4—594no—
1411C4×D4—598no—
1412C4×D4—594no—
1413C4×D4—591no—
1414C4×D4—591no—
1415C4×D4—592no—
1416C4×D4—592no—
1417C4×D4C22×D5911yescharacteristic
1418C4×D4C22×D5912yes—
1419C4×D4C22×D5912yes—
1420C4×D4C22×D5911yescharacteristic
1421C4×D4C22×D5914yes—
1422C4×D4C22×D5918yes—
1423C4×D4C22×D5912yes—
1424C4×D4C22×D5912yes—
1425C4×D4C22×D5914yes—
1426#117—591no—
1427#117—592no—
1428#117—594no—
1429#117—592no—
1430#117—594no—
1431#117—594no—
1432#117—598no—
1433#117—592no—
1434#117—594no—
1435#117—591no—
1436#117—592no—
1437#117—592no—
1438#117—591no—
1439#117—594no—
1440#117—594no—
1441#117—594no—
1442#117—594no—
1443#117—598no—
1444#117—592no—
1445#117—592no—
1446#117—592no—
1447#117—592no—
1448#117—598no—
1449#117—598no—
1450#117—598no—
1451#117—598no—
1452#117—594no—
1453#117—598no—
1454#117—594no—
1455#117—592no—
1456#117—592no—
1457#117—592no—
1458#117—598no—
1459#117—598no—
1460#117C22×D5911yescharacteristic
1461#117C22×D5912yes—
1462#117C22×D5914yes—
1463#117C22×D5914yes—
1464C2×C4⋊C4—592no—
1465C2×C4⋊C4—594no—
1466C2×C4⋊C4—598no—
1467C2×C4⋊C4—594no—
1468C2×C4⋊C4—592no—
1469C2×C4⋊C4—592no—
1470C2×C4⋊C4—591no—
1471C2×C4⋊C4—592no—
1472C2×C4⋊C4—591no—
1473C2×C4⋊C4—594no—
1474C2×C4⋊C4—594no—
1475C2×C4⋊C4—598no—
1476C2×C4⋊C4—594no—
1477C2×C4⋊C4—598no—
1478C2×C4⋊C4—594no—
1479C2×C4⋊C4C22×D5912yes—
1480C2×C4⋊C4C22×D5912yes—
1481C2×C4⋊C4C22×D5914yes—
1482C2×C22⋊C4—594no—
1483C2×C22⋊C4—592no—
1484C2×C22⋊C4—592no—
1485C2×C22⋊C4—592no—
1486C2×C22⋊C4—598no—
1487C2×C42—594no—
1488C2×C42—591no—
1489C2×C42—591no—
1490C2×C42—598no—
1491C2×C42—594no—
1492C2×C42—592no—
1493C2×C42—591no—
1494C2×C42—592no—
1495C2×C42—592no—
1496C2×C42—591no—
1497C2×C42—592no—
1498C2×C42—598no—
1499C2×C42—591no—
1500C2×C42—592no—
1501C2×C42—592no—
1502C2×C42—591no—
1503C2×C42—592no—
1504C2×C42—592no—
1505C2×C42—591no—
1506C2×C42—592no—
1507C2×C42—591no—
1508C2×C42—591no—
1509C2×C42—592no—
1510C2×C42—591no—
1511C2×C42—591no—
1512C2×C42C22×D5911yescharacteristic
1513C2×C42C22×D5912yes—
1514C24—592no—
1515C24—591no—
1516#41—24no—
1517#41—28no—
1518#41—48no—
1519#41—598no—
1520#41—1188no—
1521#41—11816no—
1522#41—11816no—
1523#41—1188no—
1524#41—1188no—
1525#41—11832no—
1526#41—1184no—
1527#41—1184no—
1528#41—2364no—
1529C2×Q8—44no—
1530C2×Q8—591no—
1531C2×Q8—592no—
1532C2×Q8—598no—
1533C2×Q8—594no—
1534C2×Q8—594no—
1535C2×Q8—592no—
1536C2×Q8—592no—
1537C2×Q8—598no—
1538C2×Q8—11816no—
1539C2×Q8—11816no—
1540C2×Q8—1184no—
1541C2×Q8—1188no—
1542C2×Q8—2368no—
1543C2×Q8C23×D5914yes—
1544C2×Q8C23×D5912yes—
1545C2×Q8C23×D5911yescharacteristic
1546C2×Q8C23×D5914yes—
1547C2×D4—592no—
1548C2×D4—594no—
1549C2×D4—598no—
1550C2×D4—592no—
1551C2×D4—592no—
1552C2×D4—594no—
1553C2×D4—591no—
1554C2×D4—592no—
1555C2×D4—1188no—
1556C2×D4—1184no—
1557C2×D4C23×D5912yes—
1558C2×D4C23×D5912yes—
1559C2×D4C23×D5914yes—
1560C2×D4C23×D5912yes—
1561C2×D4C23×D5912yes—
1562C2×D4C23×D5911yescharacteristic
1563C2×D4C23×D5918yes—
1564C22×C4—591no—
1565C22×C4—592no—
1566C22×C4—591no—
1567C22×C4—594no—
1568C22×C4—591no—
1569C22×C4—592no—
1570C22×C4—592no—
1571C22×C4—594no—
1572C22×C4—598no—
1573C22×C4—591no—
1574C22×C4—592no—
1575C22×C4—594no—
1576C22×C4—592no—
1577C22×C4—591no—
1578C22×C4—591no—
1579C22×C4—591no—
1580C22×C4—592no—
1581C22×C4—592no—
1582C22×C4—592no—
1583C22×C4—592no—
1584C22×C4—592no—
1585C22×C4—591no—
1586C22×C4—591no—
1587C22×C4—591no—
1588C22×C4—591no—
1589C22×C4—591no—
1590C22×C4—591no—
1591C22×C4—598no—
1592C22×C4—591no—
1593C22×C4—592no—
1594C22×C4—592no—
1595C22×C4—591no—
1596C22×C4—598no—
1597C22×C4—1188no—
1598C22×C4—1184no—
1599C22×C4—1188no—
1600C22×C4—1184no—
1601C22×C4—2362no—
1602C22×C4—2364no—
1603C22×C4C23×D5911yescharacteristic
1604C22×C4C23×D5911yescharacteristic
1605C22×C4C23×D5912yes—
1606C22×C4C23×D5912yes—
1607C22×C4C23×D5912yes—
1608C22×C4C23×D5914yes—
1609C22×C4C23×D5914yes—
1610C22×C4C23×D5918yes—
1611C22×C4C23×D5911yescharacteristic
1612C4⋊C4—592no—
1613C4⋊C4—594no—
1614C4⋊C4—592no—
1615C4⋊C4—598no—
1616C4⋊C4—592no—
1617C4⋊C4—594no—
1618C4⋊C4—598no—
1619C4⋊C4—598no—
1620C4⋊C4—594no—
1621C4⋊C4—598no—
1622C4⋊C4—598no—
1623C4⋊C4—594no—
1624C4⋊C4—592no—
1625C4⋊C4—592no—
1626C4⋊C4—592no—
1627C4⋊C4—592no—
1628C4⋊C4—591no—
1629C4⋊C4—592no—
1630C4⋊C4—591no—
1631C4⋊C4—592no—
1632C4⋊C4—592no—
1633C4⋊C4—598no—
1634C4⋊C4—598no—
1635C4⋊C4—594no—
1636C4⋊C4—598no—
1637C4⋊C4—598no—
1638C4⋊C4—598no—
1639C4⋊C4—594no—
1640C4⋊C4—592no—
1641C4⋊C4—592no—
1642C4⋊C4—598no—
1643C4⋊C4—594no—
1644C4⋊C4—594no—
1645C4⋊C4—598no—
1646C4⋊C4—598no—
1647C4⋊C4—594no—
1648C4⋊C4—598no—
1649C4⋊C4—594no—
1650C4⋊C4C23×D5912yes—
1651C4⋊C4C23×D5912yes—
1652C4⋊C4C23×D5911yescharacteristic
1653C4⋊C4C23×D5914yes—
1654C4⋊C4C23×D5914yes—
1655C4⋊C4C23×D5918yes—
1656C4⋊C4C23×D5911yescharacteristic
1657C4⋊C4C23×D5912yes—
1658C4⋊C4C23×D5912yes—
1659C4⋊C4C23×D5918yes—
1660C4⋊C4C23×D5914yes—
1661C4⋊C4C23×D5914yes—
1662C22⋊C4—592no—
1663C22⋊C4—592no—
1664C22⋊C4—592no—
1665C22⋊C4—598no—
1666C22⋊C4—594no—
1667C22⋊C4—594no—
1668C22⋊C4—594no—
1669C22⋊C4—594no—
1670C22⋊C4—598no—
1671C22⋊C4—594no—
1672C22⋊C4—598no—
1673C22⋊C4—598no—
1674C22⋊C4—598no—
1675C22⋊C4—594no—
1676C22⋊C4—592no—
1677C22⋊C4—592no—
1678C22⋊C4—592no—
1679C22⋊C4—592no—
1680C22⋊C4—592no—
1681C22⋊C4—592no—
1682C22⋊C4—598no—
1683C22⋊C4—598no—
1684C22⋊C4—594no—
1685C22⋊C4C23×D5912yes—
1686C22⋊C4C23×D5912yes—
1687C22⋊C4C23×D5912yes—
1688C22⋊C4C23×D5918yes—
1689C22⋊C4C23×D5918yes—
1690C22⋊C4C23×D5918yes—
1691C22⋊C4C23×D5914yes—
1692C22⋊C4C23×D5914yes—
1693C42—592no—
1694C42—591no—
1695C42—591no—
1696C42—591no—
1697C42—591no—
1698C42—591no—
1699C42—592no—
1700C42—592no—
1701C42—598no—
1702C42—594no—
1703C42—591no—
1704C42—592no—
1705C42—591no—
1706C42—591no—
1707C42—591no—
1708C42—592no—
1709C42—592no—
1710C42—591no—
1711C42—592no—
1712C42—592no—
1713C42—591no—
1714C42—592no—
1715C42—591no—
1716C42—594no—
1717C42—598no—
1718C42—598no—
1719C42—598no—
1720C42—598no—
1721C42—594no—
1722C42C23×D5911yescharacteristic
1723C42C23×D5912yes—
1724C42C23×D5911yescharacteristic
1725C42C23×D5912yes—
1726C42C23×D5911yescharacteristic
1727C42C23×D5911yescharacteristic
1728C42C23×D5912yes—
1729C42C23×D5918yes—
1730C23—591no—
1731C23—592no—
1732C23—591no—
1733C23—1184no—
1734C23—1182no—
1735C23—1184no—
1736C23—1182no—
1737C23—2361no—
1738C23—2362no—
1739C23C24×D5912yes—
1740C23C24×D5914yes—
1741C23C24×D5911yescharacteristic
1742Q8—24no—
1743Q8—22no—
1744Q8—28no—
1745Q8—44no—
1746Q8—594no—
1747Q8—11816no—
1748Q8—1184no—
1749Q8—1188no—
1750Q8—1188no—
1751Q8—1184no—
1752Q8—1184no—
1753Q8—2368no—
1754D4—24no—
1755D4—28no—
1756D4—22no—
1757D4—24no—
1758D4—24no—
1759D4—24no—
1760D4—48no—
1761D4—598no—
1762D4—594no—
1763D4—1184no—
1764D4—1184no—
1765D4—1184no—
1766D4—1188no—
1767D4—11816no—
1768D4—2364no—
1769C2×C4—24no—
1770C2×C4—28no—
1771C2×C4—22no—
1772C2×C4—24no—
1773C2×C4—22no—
1774C2×C4—24no—
1775C2×C4—44no—
1776C2×C4—48no—
1777C2×C4—591no—
1778C2×C4—592no—
1779C2×C4—598no—
1780C2×C4—594no—
1781C2×C4—591no—
1782C2×C4—591no—
1783C2×C4—591no—
1784C2×C4—591no—
1785C2×C4—594no—
1786C2×C4—592no—
1787C2×C4—592no—
1788C2×C4—598no—
1789C2×C4—594no—
1790C2×C4—591no—
1791C2×C4—1184no—
1792C2×C4—1182no—
1793C2×C4—1184no—
1794C2×C4—1184no—
1795C2×C4—1182no—
1796C2×C4—1184no—
1797C2×C4—11816no—
1798C2×C4—1182no—
1799C2×C4—1184no—
1800C2×C4—1184no—
1801C2×C4—11816no—
1802C2×C4—1188no—
1803C2×C4—1182no—
1804C2×C4—1188no—
1805C2×C4—1182no—
1806C2×C4—1182no—
1807C2×C4—1182no—
1808C2×C4—1182no—
1809C2×C4—1184no—
1810C2×C4—1182no—
1811C2×C4—1182no—
1812C2×C4—1184no—
1813C2×C4—1182no—
1814C2×C4—2362no—
1815C2×C4—2362no—
1816C2×C4—2361no—
1817C2×C4—2361no—
1818C2×C4—2368no—
1819C2×C4—2361no—
1820C2×C4—2362no—
1821C2×C4—2364no—
1822C2×C4#41×D5914yes—
1823C2×C4C24×D5912yes—
1824C2×C4C24×D5912yes—
1825C2×C4C24×D5918yes—
1826C2×C4C24×D5911yescharacteristic
1827C2×C4C24×D5911yescharacteristic
1828C2×C4C24×D5914yes—
1829C2×C4C24×D5912yes—
1830C2×C4C24×D5911yescharacteristic
1831C2×C4C24×D5911yescharacteristic
1832C2×C4C24×D5911yescharacteristic
1833C2×C4C24×D5911yescharacteristic
1834C22—21no—
1835C22—21no—
1836C22—24no—
1837C22—22no—
1838C22—22no—
1839C22—24no—
1840C22—22no—
1841C22—24no—
1842C22—594no—
1843C22—592no—
1844C22—1181no—
1845C22—1182no—
1846C22—1182no—
1847C22—1181no—
1848C22—1181no—
1849C22—1181no—
1850C22—1181no—
1851C22—2364no—
1852C22—2368no—
1853C22C2×#41×D5912yes—
1854C22C25×D5911yescharacteristic
1855C4—22no—
1856C4—24no—
1857C4—22no—
1858C4—21no—
1859C4—22no—
1860C4—21no—
1861C4—28no—
1862C4—594no—
1863C4—592no—
1864C4—1181no—
1865C4—1181no—
1866C4—1188no—
1867C4—1181no—
1868C4—1182no—
1869C4—1184no—
1870C4—1181no—
1871C4—1181no—
1872C4—1182no—
1873C4—1184no—
1874C4C2×#41×D5912yes—
1875C4C2×#41×D5912yes—
1876C42−1+4×D5912yes—
1877C4#1683823712yes—
1878C2—22no—
1879C2—42no—
1880C2—44no—
1881C2—1182no—
1882C2—1184no—
1883C2—2361no—
1884C2C22×#41×D5911yescharacteristic
1885C2C2×2−1+4×D5911yescharacteristic
1886C2C2×#1683823711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D59
commutator, socle, cosocleC22×C59C26
FittingC59×#3511C2
hypercenter#3511D59
hypocenterC59#62805
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C22 ◁ #3511

Complements

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

NH ≅ G/Ntype
1. #21438191C2semidirect
2. #21438148C2semidirect
3. #21438138C2semidirect
4. #21438112C2semidirect
5. #21438077C2semidirect
6. #21438067C2semidirect
7. #21437997C2semidirect
8. #21437982C2semidirect
9. #21437975C2semidirect
10. #21437912C2semidirect
11. #21437876C2semidirect
12. #21437849C2semidirect
13. #21437846C2semidirect
14. #21437771C2semidirect
15. #21437715C2semidirect
16. #21437712C2semidirect
17. #21437708C2semidirect
18. #21437675C2semidirect
19. #21437655C2semidirect
20. #21437653C2semidirect
21. #21437524C2semidirect
22. #21437522C2semidirect
23. #21437391C2semidirect
24. #21437391C2semidirect
25. C2×#16837957C2semidirect
26. #533×D59C2semidirect
27. #21437307C2semidirect
28. C4×#41×D59C2semidirect
29. C59×#3511C2semidirect
32. #16838132C22semidirect
33. #16838130C22semidirect
34. #16838130C22semidirect
35. #16838129C22semidirect
36. #16838128C22semidirect
37. #16838127C22semidirect
38. #16838123C22semidirect
39. #16838122C22semidirect
40. #16838122C22semidirect
41. #16838121C22semidirect
42. #16838121C22semidirect
43. #16838120C22semidirect
44. #16838120C22semidirect
45. #16838116C22semidirect
46. #16838113C22semidirect
47. #16838111C22semidirect
49. #16838107C22semidirect
51. #16838102C22semidirect
52. #16838099C22semidirect
53. #16838093C22semidirect
54. #16838092C22semidirect
55. #16838092C22semidirect
56. #16838092C22semidirect
58. #16838091C22semidirect
59. #16838090C22semidirect
60. #16838089C22semidirect
62. #16838088C22semidirect
63. #16838087C22semidirect
64. #16838086C22semidirect
65. #16838086C22semidirect
69. D4×Dic118C22semidirect
70. D4×Dic118C22semidirect
71. #16838067C22semidirect
72. Q8×C22⋊D59C22semidirect
74. #16838060C22semidirect
75. #16838059C22semidirect
77. #16838057C22semidirect
78. #16838057C22semidirect
81. #16838052C22semidirect
82. #16838052C22semidirect
83. #16838051C22semidirect
86. #16838033C22semidirect
87. #16838029C22semidirect
88. #16838019C22semidirect
89. #16838019C22semidirect
90. #16838017C22semidirect
91. #16838016C22semidirect
92. #16838014C22semidirect
93. #16838012C22semidirect
94. #16838012C22semidirect
95. #16838010C22semidirect
96. #16838009C22semidirect
97. #16837998C22semidirect
98. #16837997C22semidirect
99. #16837995C22semidirect
103. #16837973C22semidirect
104. #16837972C22semidirect
105. #16837959C22semidirect
106. #16837959C22semidirect
107. #16837959C22semidirect
114. #16837957C22semidirect
115. #16837957C22semidirect
116. #16837957C22semidirect
117. #16837957C22semidirect
118. #16837957C22semidirect
119. #16837957C22semidirect
122. #16837955C22semidirect
123. #16837954C22semidirect
124. #16837954C22semidirect
125. #16837954C22semidirect
126. #16837954C22semidirect
128. #16837950C22semidirect
129. #16837950C22semidirect
130. C2×#14273727C22semidirect
131. C4⋊Q8×D59C22semidirect
132. C4⋊Q8×D59C22semidirect
133. #16837935C22semidirect
136. #16837934C22semidirect
137. #16837934C22semidirect
138. #16837933C22semidirect
139. #16837933C22semidirect
140. #16837933C22semidirect
141. #16837933C22semidirect
142. #16837933C22semidirect
143. #16837933C22semidirect
146. #16837931C22semidirect
147. #16837931C22semidirect
148. #16837931C22semidirect
149. #16837929C22semidirect
150. C2×#14273718C22semidirect
151. #125×D59C22semidirect
163. #16837883C22semidirect
164. #16837881C22semidirect
165. #16837881C22semidirect
166. #16837879C22semidirect
167. #16837879C22semidirect
168. #16837878C22semidirect
170. #41×Dic59C22semidirect
171. #41×Dic59C22semidirect
178. #16837870C22semidirect
185. C4×#11745687C22semidirect
186. C4×#11745687C22semidirect
187. C4×#11745687C22semidirect
188. C2×Q8×Dic59C22semidirect
189. C2×#14273692C22semidirect
190. C2×#14273692C22semidirect
193. C4×Q8×D59C22semidirect
194. C4×Q8×D59C22semidirect
205. C59×#556C22semidirect
206. C59×#555C22semidirect
207. C59×#554C22semidirect
208. C59×#553C22semidirect
209. C59×#548C22semidirect
210. C59×#547C22semidirect
211. C59×#542C22semidirect
213. C59×#533C22semidirect
214. C59×#532C22semidirect
215. C59×#532C22semidirect
216. C2×C4⋊Q8×C59C22semidirect
217. C59×#520C22semidirect
626. #11745685#41semidirect
881. C4×D592−1+4semidirect
942. #3511D59semidirect
988. #556C2×D59semidirect
990. #555C2×D59semidirect
996. #554C2×D59semidirect
999. #553C2×D59semidirect
1024. #548C2×D59semidirect
1032. #547C2×D59semidirect
1041. #542C2×D59semidirect
1078. #533C2×D59semidirect
1082. #532C2×D59semidirect
1083. #532C2×D59semidirect
1087. C2×C4⋊Q8C2×D59semidirect
1121. #520C2×D59semidirect
1162. C59#62805semidirect

Maximal subgroups

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

subgroupindex
#214381912
#214381482
#214381382
#214381122
#214380772
#214380672
#214379972
#214379822
#214379752
#214379122
#214378762
#214378492
#214378462
#214377712
#214377152
#214377122
#214377082
#214376752
#214376552
#214376532
#214375242
#214375222
#214373912
C2×#168379572
#533×D592
#214373072
C4×#41×D592
C59×#35112
#6280559