Finite Group Databasebeta

← #29466252

Subgroups — #29466252

Order 15104.

2092 conjugacy classes of subgroups.

The subgroup lattice has 1838 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437827C211yesmaximal, characteristic, complemented
2#21437775C211yesmaximal, characteristic, complemented
3#21436402C211yesmaximal, characteristic, complemented
4#21436396C211yesmaximal, characteristic, complemented
5#21436392C211yesmaximal, characteristic, complemented
6#21436386C211yesmaximal, characteristic, complemented
7#21436350C211yesmaximal, characteristic, complemented
8#21436296C211yesmaximal, characteristic, complemented
9#21436292C211yesmaximal, characteristic, complemented
10#21436271C211yesmaximal, characteristic, complemented
11#21436264C211yesmaximal, characteristic, complemented
12#21436259C211yesmaximal, characteristic, complemented
13#21436250C211yesmaximal, characteristic, complemented
14#21436087C211yesmaximal, characteristic, complemented
15#21436080C211yesmaximal, characteristic, complemented
16#21436075C211yesmaximal, characteristic, complemented
17#21436066C211yesmaximal, characteristic, complemented
18#21434460C211yesmaximal, characteristic, complemented
19#21434071C211yesmaximal, characteristic, complemented
20#21434039C211yesmaximal, characteristic, complemented
21#21433950C211yesmaximal, characteristic, complemented
22#21433773C211yesmaximal, characteristic, complemented
23#468×D59C211yesmaximal, characteristic, complemented
24#21433606C211yesmaximal, characteristic, complemented
25#21433377C211yesmaximal, characteristic, complemented
26#21433345C211yesmaximal, characteristic, complemented
27#21432923C211yesmaximal, characteristic, complemented
28#21432796C211yesmaximal, characteristic, complemented
29#21432628C211yesmaximal, characteristic, complemented
30#21432612C211yesmaximal, characteristic, complemented
31C59×#3326C211yesmaximal, characteristic, complemented
32C2×#14273775C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273754C2211yescharacteristic
35C2×#14273751C2211yescharacteristic
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×#14273735C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic
39#16838117C2211yescharacteristic
40#16838115C2211yescharacteristic
41#16838105C2211yescharacteristic
42#16838104C2211yescharacteristic
43#16838100C2211yescharacteristic, complemented
44#16838077—21no—
45#16838075—21no—
46Q8×D236C2211yescharacteristic, complemented
47Q8×C22⋊D59C2211yescharacteristic, complemented
48#16838059C2211yescharacteristic, complemented
49#16838057—21no—
50#16838057C2211yescharacteristic, complemented
51#16838056C2211yescharacteristic, complemented
52#16838054—21no—
53#16838054C2211yescharacteristic, complemented
54#16838052C2211yescharacteristic, complemented
55#16838049—21no—
56#16838049C2211yescharacteristic, complemented
57#16838047—21no—
58#16838045—21no—
59#16838045C2211yescharacteristic, complemented
60#16838041—21no—
61#16838032C2211yescharacteristic, complemented
62#16838018—21no—
63#16838004—21no—
64#16837981—21no—
65#16837981C2211yescharacteristic
66#16837972—21no—
67#16837972C2211yescharacteristic
68#16837968C2211yescharacteristic, complemented
69#16837947—21no—
70#16837932—21no—
71#16837911—21no—
72#16837911C2211yescharacteristic
73C22⋊Q8×D59—21no—
74C22⋊Q8×D59C2211yescharacteristic
75#121×D59C2211yescharacteristic
76#16837884C2211yescharacteristic
77#16837882C2211yescharacteristic, complemented
78#16837874C2211yescharacteristic, complemented
79C2×#14273685C2211yescharacteristic
80#16837772C2211yescharacteristic, complemented
81#16837769C2211yescharacteristic, complemented
82#16837761C2211yescharacteristic, complemented
83#16837760C2211yescharacteristic, complemented
84#16837755C2211yescharacteristic, complemented
85#16837753C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837746C2211yescharacteristic, complemented
88#16837746C2211yescharacteristic, complemented
89#16837746C2211yescharacteristic, complemented
90#16837743C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837742C2211yescharacteristic, complemented
93#16837739C2211yescharacteristic, complemented
94#16837738C2211yescharacteristic, complemented
95#16837738C2211yescharacteristic, complemented
96#16837735C2211yescharacteristic, complemented
97#16837732C2211yescharacteristic, complemented
98#16837724C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837713C2211yescharacteristic, complemented
101#16837711C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837697C2211yescharacteristic, complemented
105#16837695C2211yescharacteristic, complemented
106#16837683C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic, complemented
109#16837651C2211yescharacteristic
110#16837650C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic
112#16837648C2211yescharacteristic, complemented
113#16837648C2211yescharacteristic, complemented
114#16837647C2211yescharacteristic
115#16837647C2211yescharacteristic, complemented
116#16837646C2211yescharacteristic, complemented
117#16837645C2211yescharacteristic
118#16837636C2211yescharacteristic, complemented
119#16837635C2211yescharacteristic, complemented
120#16837632C2211yescharacteristic, complemented
121#16837629C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic, complemented
124#16837614C2211yescharacteristic, complemented
125#16837608C2211yescharacteristic, complemented
126#16837607C2211yescharacteristic, complemented
127#16837606C2211yescharacteristic, complemented
128#16837605C2211yescharacteristic, complemented
129#16837550C2211yescharacteristic, complemented
130#16837549C2211yescharacteristic
131#16837549C2211yescharacteristic, complemented
132#16837547C2211yescharacteristic
133#16837546C2211yescharacteristic, complemented
134#16837545C2211yescharacteristic
135#16837545C2211yescharacteristic, complemented
136#16837542C2211yescharacteristic
137#16837542C2211yescharacteristic, complemented
138#16837541C2211yescharacteristic, complemented
139#16837539C2211yescharacteristic
140#16837539C2211yescharacteristic, complemented
141#16837537C2211yescharacteristic
142#16837534C2211yescharacteristic
143#16837513C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic, complemented
145#16837503C2211yescharacteristic, complemented
146#16837500C2211yescharacteristic, complemented
147#16837487C2211yescharacteristic, complemented
148C4×D472C2211yescharacteristic, complemented
149#16837482C2211yescharacteristic, complemented
150#16837481C2211yescharacteristic, complemented
151#16837478C2211yescharacteristic, complemented
152#16837478C2211yescharacteristic, complemented
153#16837476C2211yescharacteristic, complemented
154#16837474C2211yescharacteristic, complemented
155#16837472C2211yescharacteristic, complemented
156#16837470C2211yescharacteristic, complemented
157#16837441C2211yescharacteristic, complemented
158#16837441C2211yescharacteristic, complemented
159#107×D59C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837409C2211yescharacteristic, complemented
162#16837409C2211yescharacteristic, complemented
163#16837409C2211yescharacteristic, complemented
164#16837409C2211yescharacteristic, complemented
165#16837409C2211yescharacteristic, complemented
166#16837405C2211yescharacteristic, complemented
167#16837405C2211yescharacteristic, complemented
168#16837404C2211yescharacteristic, complemented
169#16837404C2211yescharacteristic, complemented
170#16837403C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic
172#16837402C2211yescharacteristic, complemented
173#16837401C2211yescharacteristic, complemented
174#16837400C2211yescharacteristic
175#16837397C2211yescharacteristic
176#16837397C2211yescharacteristic
177#16837397C2211yescharacteristic, complemented
178#16837396C2211yescharacteristic, complemented
179#16837395C2211yescharacteristic
180#16837395C2211yescharacteristic
181C2×#14273651C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic
187#16837356C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#548C2211yescharacteristic, complemented
190C59×#488C2211yescharacteristic, complemented
191C59×#483C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic
198C59×#448C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#419C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203#14273775—24no—
204#14273775—42no—
205C2×#11745689—21no—
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685—21no—
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745687—21no—
215C2×#11745687—21no—
216C2×#11745687—21no—
217C2×#11745687C2311yescharacteristic
218#41×D59—24no—
219#41×D59—42no—
220C2×Q8×D59—21no—
221C2×Q8×D59C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C2×Q8×D59C2311yescharacteristic
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C22×C4×D59—21no—
229C22×C4×D59C2311yescharacteristic
230#14273754—24no—
231#14273751—42no—
232C2×#11745660C2311yescharacteristic
233C2×#11745660C2311yescharacteristic
234C2×#11745670C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×#11745671C2311yescharacteristic
238SD16×D59—42no—
239C2×D472C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242#14273735—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249M16×D59—42no—
250C22×C59⋊C8C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254#14273727—21no—
255#14273727C2311yescharacteristic
256#14273727C2311yescharacteristic
257#14273726—21no—
258#14273726C2311yescharacteristic
259#14273725—21no—
260#14273725C2311yescharacteristic
261#14273723—21no—
262#14273722—21no—
263#14273722—21no—
264#14273720—21no—
265#14273718C2311yescharacteristic
266#14273717—21no—
267#14273715—21no—
268#14273714—21no—
269#14273714C2311yescharacteristic
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273712—21no—
275#14273712—21no—
276#14273712—21no—
277#14273712D411yescharacteristic
278#14273711—21no—
279#14273711—21no—
280#14273711—21no—
281#14273709—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709D411yescharacteristic
290#14273708—21no—
291#14273707—21no—
292#14273707—21no—
293#14273707—21no—
294#14273707—21no—
295#14273707C2311yescharacteristic
296#14273707C2311yescharacteristic
297#14273706—21no—
298#14273706—21no—
299#14273706C2311yescharacteristic
300#14273706C2311yescharacteristic
301#14273705—21no—
302#14273705—21no—
303#14273705D411yescharacteristic
304#14273704—21no—
305#14273704—21no—
306#14273704—21no—
307#14273704—21no—
308#14273704—21no—
309#14273704D411yescharacteristic
310#14273703—21no—
311#14273703C2311yescharacteristic
312#14273702—21no—
313#14273702C2311yescharacteristic
314#14273702C2311yescharacteristic
315#14273701—21no—
316#14273701—21no—
317#14273701C2311yescharacteristic
318#14273701C2311yescharacteristic
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700D411yescharacteristic
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699D411yescharacteristic
329#14273698—21no—
330#14273698—21no—
331#14273698—21no—
332#14273698—21no—
333#14273698C2311yescharacteristic
334#14273698C2311yescharacteristic
335#14273698C2311yescharacteristic
336#14273697—21no—
337#14273697—21no—
338#14273697D411yescharacteristic
339#14273695—21no—
340#14273695—21no—
341#14273695D411yescharacteristic
342Q8×Dic59C2311yescharacteristic
343C4×Dic118—21no—
344C4×D236—21no—
345C4×D236—21no—
346C4×D236—21no—
347C4×D236C2311yescharacteristic
348C4×D236C2311yescharacteristic
349C4×D236C2311yescharacteristic
350D4×Dic59—21no—
351D4×Dic59C2311yescharacteristic
352#14273689—21no—
353#14273689—21no—
354#14273689C2311yescharacteristic
355#14273689C2311yescharacteristic
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59C2311yescharacteristic
361C4×C22⋊D59C2311yescharacteristic
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365#14273686—21no—
366#14273685—21no—
367#14273685—21no—
368#14273685C2311yescharacteristic
369#14273685C2311yescharacteristic
370#14273685C2311yescharacteristic
371#14273685C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273684—21no—
374#14273684—21no—
375#14273684C2311yescharacteristic
376C2×C4⋊Dic59C2311yescharacteristic
377C2×C4⋊Dic59C2311yescharacteristic
378C4⋊C4×D59—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
385C2×(C2×D59)⋊C4—21no—
386C2×(C2×D59)⋊C4—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C2×C4×Dic59—21no—
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273661C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273638C2311yescharacteristic
442#14273637C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C22×Q8×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451#126×C59—21no—
452#125×C59C2311yescharacteristic
453#124×C59—21no—
454#124×C59C2311yescharacteristic
455#123×C59—21no—
456C22⋊Q8×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458#121×C59—21no—
459#121×C59—21no—
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59—21no—
465C4×D4×C59—21no—
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59C2311yescharacteristic
469C2×C4⋊C4×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486C4×C8×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59C2×D411yescharacteristic
490#41×C59—22no—
491#41×C59—41no—
492C2×Q8×C59—21no—
493C2×Q8×C59—22no—
494C2×Q8×C59—41no—
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59C2×D411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59C2411yescharacteristic
509C22×C4×C59C2411yescharacteristic
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59C2×D411yescharacteristic
521C2×C22⋊D59C2×D411yescharacteristic
522C2×C22⋊D59C2×D411yescharacteristic
523C2×C22⋊D59C2×D411yescharacteristic
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59C2×D411yescharacteristic
529#11745689—22no—
530#11745689—22no—
531#11745689—41no—
532#11745689—44no—
533#11745689#4114yescomplemented
534Q8×D59—22no—
535Q8×D59—22no—
536Q8×D59—22no—
537Q8×D59—22no—
538Q8×D59—41no—
539Q8×D59—41no—
540Q8×D59—44no—
541#11745687—22no—
542#11745687—22no—
543#11745687—44no—
544#11745687—82no—
545#11745687—82no—
546D4×D59—22no—
547D4×D59—22no—
548D4×D59—22no—
549D4×D59—41no—
550D4×D59—44no—
551D4×D59—82no—
552#11745685—22no—
553#11745685—22no—
554#11745685—22no—
555#11745685—22no—
556#11745685—41no—
557#11745685—41no—
558#11745685—44no—
559#11745685—44no—
560#11745685—44no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236C2×D411yescharacteristic
566C2×D236C2×D411yescharacteristic
567C2×D236C2411yescharacteristic
568C2×D236C2411yescharacteristic
569C2×C4×D59—21no—
570C2×C4×D59—22no—
571C2×C4×D59—22no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—44no—
586C2×C4×D59C2×D411yescharacteristic
587C2×C4×D59C2×D411yescharacteristic
588C2×C4×D59C2411yescharacteristic
589C2×C4×D59C2411yescharacteristic
590C2×C4×D59C2411yescharacteristic
591C2×Dic118—21no—
592C2×Dic118—21no—
593C2×Dic118—21no—
594C2×Dic118—21no—
595C2×Dic118—21no—
596C2×Dic118C2×D411yescharacteristic
597C2×Dic118C2411yescharacteristic
598C2×Dic118C2411yescharacteristic
599SD16×C59—22no—
600SD16×C59—41no—
601D8×C59—41no—
602M16×C59—41no—
603M16×C59—41no—
604C2×C8×C59C2411yescharacteristic
605C2×C8×C59C2411yescharacteristic
606C2×C8×C59C2411yescharacteristic
607C2×C8×C59C2411yescharacteristic
608C4⋊C4×C59—21no—
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59—21no—
612C4⋊C4×C59—21no—
613C4⋊C4×C59C2×D411yescharacteristic
614C4⋊C4×C59C2411yescharacteristic
615C4⋊C4×C59C2411yescharacteristic
616C4⋊C4×C59C2411yescharacteristic
617C4⋊C4×C59C2411yescharacteristic
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59—21no—
626C22⋊C4×C59C2×D411yescharacteristic
627C22⋊C4×C59C2×D411yescharacteristic
628C42×C59—21no—
629C42×C59—21no—
630C42×C59C2411yescharacteristic
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59C2×D411yescharacteristic
640C22⋊Dic59C2×D411yescharacteristic
641#11745671—22no—
642#11745671—41no—
643#11745670—41no—
644#11745670—41no—
645#11745669—22no—
646#11745669—41no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4C2×D411yescharacteristic
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666(C2×D59)⋊C4C2×D411yescharacteristic
667(C2×D59)⋊C4C2×D411yescharacteristic
668(C2×D59)⋊C4C2×D411yescharacteristic
669C4⋊Dic59—21no—
670C4⋊Dic59—21no—
671C4⋊Dic59—21no—
672C4⋊Dic59—21no—
673C4⋊Dic59—21no—
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59C2×D411yescharacteristic
679C4⋊Dic59C2411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681C4⋊Dic59C2411yescharacteristic
682C4⋊Dic59C2411yescharacteristic
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4C2×D411yescharacteristic
694Dic59⋊C4C2×D411yescharacteristic
695Dic59⋊C4C2×D411yescharacteristic
696Dic59⋊C4C2×D411yescharacteristic
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59C2411yescharacteristic
704#11745664—41no—
705C2×C59⋊C8—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710D472—22no—
711#11745660—41no—
712#11745660—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—41no—
716#11745659—41no—
717#11745659—41no—
718C8×D59—22no—
719C8×D59—22no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59C22×D411yescharacteristic
724C23×C59C22×D411yescharacteristic
725C22×D59—21no—
726C22×D59—22no—
727C22×D59—21no—
728C22×D59—41no—
729C22×D59—41no—
730C22×D59—42no—
731C22×D59—42no—
732C22×D59—42no—
733C22×D59—81no—
734C22×D59—81no—
735C22×D59—81no—
736C22×D59C22×D411yescharacteristic
737C22×D59C22×D411yescharacteristic
738C22×D59C22×D411yescharacteristic
739Q8×C59—21no—
740Q8×C59—21no—
741Q8×C59—21no—
742Q8×C59—42no—
743Q8×C59C2×#4112yes—
744D4×C59—21no—
745D4×C59—21no—
746D4×C59—21no—
747D4×C59—21no—
748D4×C59—41no—
749D4×C59—42no—
750D4×C59—42no—
751D4×C59—81no—
752D4×C59—81no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—42no—
764C2×C4×C59—42no—
765C2×C4×C59—81no—
766C2×C4×C59—81no—
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C22×D411yescharacteristic
769C2×C4×C59C22×D411yescharacteristic
770C2×C4×C59C22×D411yescharacteristic
771C2×C4×C59C2511yescharacteristic
772C22⋊D59—22no—
773C22⋊D59—22no—
774C22⋊D59—41no—
775C22⋊D59—41no—
776C22⋊D59—42no—
777C22⋊D59—42no—
778C22⋊D59—42no—
779C22⋊D59—42no—
780C22⋊D59—42no—
781C22⋊D59—42no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C2×Dic59—22no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—42no—
794C2×Dic59—42no—
795C2×Dic59—81no—
796C2×Dic59—81no—
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802D236—24no—
803D236—22no—
804D236—21no—
805D236—21no—
806D236—21no—
807D236—41no—
808D236—42no—
809D236—81no—
810D236—81no—
811D236C2×#4112yes—
812C4×D59—22no—
813C4×D59—21no—
814C4×D59—21no—
815C4×D59—21no—
816C4×D59—21no—
817C4×D59—22no—
818C4×D59—24no—
819C4×D59—42no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—42no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—81no—
826C4×D59—81no—
827C4×D59—81no—
828C4×D59—81no—
829C4×D59—81no—
830C4×D59—81no—
831C4×D59—81no—
832C4×D59C2×#4112yes—
833C4×D59H(5,𝔽2)12yes—
834Dic118—22no—
835Dic118—21no—
836Dic118—21no—
837Dic118—21no—
838Dic118—21no—
839Dic118—42no—
840Dic118—42no—
841Dic118—42no—
842Dic118—81no—
843Dic118—81no—
844C8×C59—21no—
845C8×C59—21no—
846C8×C59—21no—
847C8×C59—21no—
848C59⋊C8—21no—
849C59⋊C8—21no—
850C59⋊C8—21no—
851C59⋊C8—21no—
852#61182—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—21no—
855C22×C59—21no—
856C22×C59—21no—
857C22×C59—21no—
858C22×C59—21no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59C23×D411yescharacteristic
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—21no—
869C2×D59—21no—
870C2×D59—21no—
871C2×D59—21no—
872C2×D59—21no—
873C2×D59—22no—
874C2×D59—21no—
875C2×D59—41no—
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—82no—
881C2×D59—84no—
882C2×D59—162no—
883C2×D59#54612yes—
884C4×C59—21no—
885C4×C59—21no—
886C4×C59—21no—
887C4×C59—22no—
888C4×C59—21no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59—41no—
892C4×C59—41no—
893C4×C59—41no—
894C4×C59C22×#4111yescharacteristic
895C4×C59C2×H(5,𝔽2)11yescharacteristic
896Dic59—21no—
897Dic59—21no—
898Dic59—21no—
899Dic59—21no—
900Dic59—41no—
901Dic59—41no—
902Dic59—41no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59#54612yes—
907#3494—591no—
908#3489—591no—
909#3330—591no—
910#3330—591no—
911#3329—591no—
912#3329—591no—
913#3326—591no—
914#3326D5911yescharacteristic, complemented
915#3322—591no—
916#3322—591no—
917#3320—591no—
918#3320—591no—
919#3319—591no—
920#3319—591no—
921#3308—591no—
922#3308—591no—
923#3307—591no—
924#3307—591no—
925#3137—591no—
926#3098—591no—
927#3095—591no—
928#3083—591no—
929#3062—591no—
930C2×#468—591no—
931#3042—591no—
932#3010—591no—
933#3006—591no—
934#2946—591no—
935#2930—591no—
936#2898—591no—
937#2896—591no—
938C2×C59—41no—
939C2×C59—41no—
940C2×C59—81no—
941C2×C59—81no—
942C2×C59C2×#54611yescharacteristic
943C2×C59#358511yescharacteristic
944C2×C59#358611yescharacteristic
945D59—22no—
946D59—41no—
947D59—41no—
948D59—42no—
949D59—81no—
950C2×2−1+4—591no—
951C22×#41—591no—
952C2×AGL(1,ℤ/8)—591no—
953C2×AGL(1,ℤ/8)—591no—
954C22×SD16—591no—
955C2×#131—591no—
956C22×M16—591no—
957#555—591no—
958#555—591no—
959#553—591no—
960#553—591no—
961#553—591no—
962#553C2×D5911yescharacteristic, complemented
963#551—1181no—
964#551—1181no—
965D4×Q8—591no—
966D4×Q8—591no—
967#548—591no—
968#548C2×D5911yescharacteristic, complemented
969#547—591no—
970#547—591no—
971#547—591no—
972#547—591no—
973#547—1181no—
974#547—1181no—
975#546—591no—
976#546—591no—
977#546—1181no—
978#546—1181no—
979#546—1181no—
980#546—1181no—
981#544—591no—
982#542—1181no—
983#540—1181no—
984#537—591no—
985#537—1181no—
986#536—591no—
987#536—1181no—
988#535—591no—
989#532—1181no—
990#529—1181no—
991#525—591no—
992#525—1181no—
993C2×C22⋊Q8—591no—
994C2×C22⋊Q8—1181no—
995C2×#121—591no—
996#520—591no—
997#520—591no—
998#518—591no—
999C2×#117—591no—
1000#491—591no—
1001#491—591no—
1002#489—591no—
1003#489—591no—
1004#488—591no—
1005#488C2×D5911yescharacteristic, complemented
1006#487—591no—
1007#487—591no—
1008#485—591no—
1009#485—591no—
1010#485—591no—
1011#485—591no—
1012#485—591no—
1013#485—591no—
1014#484—591no—
1015#484—591no—
1016#484—591no—
1017#484—591no—
1018#483—591no—
1019#483C2×D5911yescharacteristic, complemented
1020#482—591no—
1021#482C2×D5911yescharacteristic, complemented
1022#480—591no—
1023#480—591no—
1024#479—591no—
1025#479C2×D5911yescharacteristic, complemented
1026#478—591no—
1027#478—591no—
1028#477—591no—
1029#477—591no—
1030#474—591no—
1031#474—591no—
1032#469—591no—
1033#469C2×D5911yescharacteristic, complemented
1034#468—591no—
1035#468—591no—
1036#468—591no—
1037#468—591no—
1038#468—591no—
1039#468—591no—
1040#468—591no—
1041#468—591no—
1042#468—591no—
1043#468C2×D5911yescharacteristic, complemented
1044#466—591no—
1045#466—591no—
1046#465—591no—
1047#465—591no—
1048#463—591no—
1049#463—591no—
1050#463—591no—
1051#463C2×D5911yescharacteristic, complemented
1052#461—591no—
1053#461—591no—
1054#461—591no—
1055#461—591no—
1056#449—591no—
1057#449—591no—
1058#449—591no—
1059#449—591no—
1060#449—591no—
1061#449—591no—
1062#449—591no—
1063#449C2×D5911yescharacteristic
1064#448—591no—
1065#448—591no—
1066#448—591no—
1067#448—591no—
1068#448—591no—
1069#448C2×D5911yescharacteristic, complemented
1070#447—591no—
1071#447—591no—
1072#442—591no—
1073#442—591no—
1074#440—591no—
1075#440—591no—
1076C4×SD16—591no—
1077C4×SD16C2×D5911yescharacteristic, complemented
1078C4×D8—591no—
1079C4×D8—591no—
1080#436—591no—
1081#436—591no—
1082#436—591no—
1083#436C2×D5911yescharacteristic, complemented
1084#435—591no—
1085#435—591no—
1086#435—591no—
1087#435—591no—
1088#428—591no—
1089#428—591no—
1090C2×#107—591no—
1091#424—591no—
1092#419—591no—
1093#419—591no—
1094#419—591no—
1095#419—591no—
1096#419—591no—
1097#419C2×D5911yescharacteristic, complemented
1098#418—591no—
1099#418—591no—
1100#417—591no—
1101#417—591no—
1102#417—591no—
1103#417—591no—
1104#417—591no—
1105#417—591no—
1106#417—591no—
1107#417C2×D5911yescharacteristic, complemented
1108#416—591no—
1109#416—591no—
1110#416—591no—
1111#416—591no—
1112#416—591no—
1113#416—591no—
1114C2×#103—591no—
1115C2×#103—591no—
1116C2×#103—591no—
1117C2×#102—591no—
1118#408—591no—
1119#407—591no—
1120#405—591no—
1121C59#6118211yescharacteristic, complemented, Sylow
11222−1+4—1184no—
11232−1+4—2362no—
1124C2×#41—591no—
1125C2×#41—591no—
1126C2×#41—591no—
1127C2×#41—591no—
1128C2×#41—591no—
1129C2×#41—591no—
1130C2×#41—1181no—
1131C2×#41—1181no—
1132C2×#41—1181no—
1133C2×#41—1181no—
1134C2×#41—1181no—
1135C2×#41—1181no—
1136C2×#41—1181no—
1137C2×#41—1184no—
1138C2×#41—2362no—
1139C2×#41C22×D5911yescharacteristic
1140C22×Q8—591no—
1141C22×Q8—591no—
1142C22×Q8—591no—
1143C22×Q8—1181no—
1144C22×Q8C22×D5911yescharacteristic
1145C22×D4—591no—
1146C22×D4—591no—
1147C22×D4—1181no—
1148C22×D4—1181no—
1149C23×C4—591no—
1150C23×C4—1181no—
1151AGL(1,ℤ/8)—1184no—
1152AGL(1,ℤ/8)—2362no—
1153C2×SD16—591no—
1154C2×SD16—591no—
1155C2×SD16—591no—
1156C2×SD16—591no—
1157C2×SD16—591no—
1158C2×SD16—591no—
1159C2×SD16—2362no—
1160C2×SD16C22×D5911yescharacteristic
1161C2×SD16C22×D5911yescharacteristic
1162C2×D8—591no—
1163C2×D8—591no—
1164C2×D8—591no—
1165C2×D8C22×D5911yescharacteristic
1166#131—2362no—
1167C2×M16—591no—
1168C2×M16—591no—
1169C2×M16—591no—
1170C2×M16—591no—
1171C2×M16—591no—
1172C2×M16—591no—
1173C2×M16—2362no—
1174C2×M16C22×D5911yescharacteristic
1175C2×M16C22×D5911yescharacteristic
1176C22×C8—591no—
1177C22×C8—591no—
1178C22×C8—591no—
1179C22×C8—591no—
1180C4⋊Q8—591no—
1181C4⋊Q8—591no—
1182C4⋊Q8—591no—
1183C4⋊Q8—591no—
1184C4⋊Q8—1181no—
1185C4⋊Q8—1181no—
1186C4⋊Q8—1181no—
1187#127—1181no—
1188#126—21no—
1189#126—1181no—
1190#126—1181no—
1191#126—1181no—
1192#125—591no—
1193#125—1181no—
1194#125C22×D5911yescharacteristic
1195#124—21no—
1196#124—591no—
1197#124—1181no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124C22×D5911yescharacteristic
1204#123—21no—
1205#123—591no—
1206#123—591no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222C22⋊Q8—21no—
1223C22⋊Q8—591no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236C22⋊Q8—1181no—
1237C22⋊Q8—1181no—
1238C22⋊Q8—1181no—
1239C22⋊Q8—1181no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8—1181no—
1243C22⋊Q8—1181no—
1244C22⋊Q8C22×D5911yescharacteristic
1245#121—21no—
1246#121—21no—
1247#121—591no—
1248#121—591no—
1249#121—591no—
1250#121—591no—
1251#121—591no—
1252#121—591no—
1253#121—591no—
1254#121—591no—
1255#121—591no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121C22×D5911yescharacteristic
1272#121C22×D5911yescharacteristic
1273#121C22×D5911yescharacteristic
1274#120—591no—
1275#120—591no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280C4×Q8—591no—
1281C4×Q8—1181no—
1282C4×Q8C22×D5911yescharacteristic
1283C4×D4—21no—
1284C4×D4—21no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4C22×D5911yescharacteristic
1307C4×D4C22×D5911yescharacteristic
1308#117—591no—
1309#117—591no—
1310#117—591no—
1311#117—591no—
1312#117—591no—
1313#117—591no—
1314#117—1181no—
1315#117—1181no—
1316#117—1181no—
1317#117—1181no—
1318#117—1181no—
1319#117C22×D5911yescharacteristic
1320C2×C4⋊C4—591no—
1321C2×C4⋊C4—591no—
1322C2×C4⋊C4—591no—
1323C2×C4⋊C4—591no—
1324C2×C4⋊C4—591no—
1325C2×C4⋊C4—1181no—
1326C2×C4⋊C4—1181no—
1327C2×C4⋊C4—1181no—
1328C2×C4⋊C4—1181no—
1329C2×C4⋊C4C22×D5911yescharacteristic
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C22⋊C4—1181no—
1333C2×C22⋊C4—1181no—
1334C2×C22⋊C4—1181no—
1335C2×C22⋊C4—1181no—
1336C2×C22⋊C4—1181no—
1337C2×C42—1181no—
1338#107—591no—
1339#107—591no—
1340#107—591no—
1341#107—591no—
1342#107—591no—
1343#107—591no—
1344#107—591no—
1345#107C22×D5911yescharacteristic
1346#106—591no—
1347#106—591no—
1348#106C22×D5911yescharacteristic
1349#106C22×D5911yescharacteristic
1350C4⋊C8—591no—
1351C4⋊C8—591no—
1352C4⋊C8—591no—
1353C4⋊C8C22×D5911yescharacteristic
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#103—591no—
1361#103—591no—
1362#103—591no—
1363#103—591no—
1364#103—591no—
1365#103—591no—
1366#103—591no—
1367#103—591no—
1368#103—591no—
1369#103—591no—
1370#103—591no—
1371#103—591no—
1372#103C22×D5911yescharacteristic
1373#103C22×D5911yescharacteristic
1374#103C22×D5911yescharacteristic
1375#103C22×D5911yescharacteristic
1376#103C22×D5911yescharacteristic
1377#103C22×D5911yescharacteristic
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102C22×D5911yescharacteristic
1391#102C22×D5911yescharacteristic
1392#102C22×D5911yescharacteristic
1393#102C22×D5911yescharacteristic
1394C22⋊C8—591no—
1395C22⋊C8—591no—
1396C22⋊C8—591no—
1397C22⋊C8—591no—
1398C22⋊C8—591no—
1399C22⋊C8—591no—
1400C22⋊C8C22×D5911yescharacteristic
1401C22⋊C8C22×D5911yescharacteristic
1402#97—591no—
1403#97—591no—
1404C4×C8—591no—
1405C4×C8C22×D5911yescharacteristic
1406C24—591no—
1407C24—1181no—
1408C24—1181no—
1409#41—22no—
1410#41—41no—
1411#41—594no—
1412#41—1182no—
1413#41—1182no—
1414#41—1182no—
1415#41—1182no—
1416#41—1182no—
1417#41—1182no—
1418#41—1182no—
1419#41—1182no—
1420#41—4722no—
1421#41—4722no—
1422#41—2361no—
1423#41—2361no—
1424#41—2364no—
1425#41—2364no—
1426#41—2364no—
1427#41—2364no—
1428#41—2361no—
1429#41—2364no—
1430C2×Q8—21no—
1431C2×Q8—22no—
1432C2×Q8—41no—
1433C2×Q8—591no—
1434C2×Q8—591no—
1435C2×Q8—591no—
1436C2×Q8—1181no—
1437C2×Q8—1181no—
1438C2×Q8—1181no—
1439C2×Q8—1181no—
1440C2×Q8—1182no—
1441C2×Q8—1182no—
1442C2×Q8—1181no—
1443C2×Q8—1182no—
1444C2×Q8—1182no—
1445C2×Q8—2361no—
1446C2×Q8—2361no—
1447C2×Q8—2364no—
1448C2×Q8C23×D5911yescharacteristic
1449C2×Q8C23×D5911yescharacteristic
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—591no—
1455C2×D4—591no—
1456C2×D4—591no—
1457C2×D4—591no—
1458C2×D4—591no—
1459C2×D4—591no—
1460C2×D4—591no—
1461C2×D4—591no—
1462C2×D4—1181no—
1463C2×D4—1181no—
1464C2×D4—1181no—
1465C2×D4—1181no—
1466C2×D4—1182no—
1467C2×D4—1182no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1182no—
1471C2×D4—1181no—
1472C2×D4—1181no—
1473C2×D4—1181no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—1181no—
1478C2×D4—1181no—
1479C2×D4—4722no—
1480C2×D4—2361no—
1481C2×D4—2364no—
1482C2×D4D4×D5911yescharacteristic
1483C2×D4C23×D5911yescharacteristic
1484C2×D4C23×D5911yescharacteristic
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—591no—
1490C22×C4—591no—
1491C22×C4—591no—
1492C22×C4—591no—
1493C22×C4—591no—
1494C22×C4—591no—
1495C22×C4—1181no—
1496C22×C4—1182no—
1497C22×C4—1182no—
1498C22×C4—1181no—
1499C22×C4—1181no—
1500C22×C4—1181no—
1501C22×C4—1181no—
1502C22×C4—1181no—
1503C22×C4—1181no—
1504C22×C4—1181no—
1505C22×C4—1181no—
1506C22×C4—1181no—
1507C22×C4—1181no—
1508C22×C4—1181no—
1509C22×C4—1181no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—1181no—
1513C22×C4—1181no—
1514C22×C4—1181no—
1515C22×C4—2364no—
1516C22×C4C23×D5911yescharacteristic
1517C22×C4C23×D5911yescharacteristic
1518SD16—22no—
1519SD16—41no—
1520SD16—1182no—
1521SD16—2361no—
1522SD16—2361no—
1523SD16—2361no—
1524SD16—2361no—
1525SD16—2361no—
1526D8—41no—
1527D8—1182no—
1528D8—1182no—
1529D8—2361no—
1530M16—41no—
1531M16—41no—
1532M16—1182no—
1533M16—1182no—
1534M16—2361no—
1535M16—2361no—
1536M16—2361no—
1537M16—2361no—
1538C2×C8—591no—
1539C2×C8—591no—
1540C2×C8—591no—
1541C2×C8—591no—
1542C2×C8—1182no—
1543C2×C8—1182no—
1544C2×C8—2361no—
1545C2×C8—2361no—
1546C2×C8C23×D5911yescharacteristic
1547C2×C8C23×D5911yescharacteristic
1548C2×C8C23×D5911yescharacteristic
1549C2×C8C23×D5911yescharacteristic
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—591no—
1556C4⋊C4—591no—
1557C4⋊C4—591no—
1558C4⋊C4—591no—
1559C4⋊C4—591no—
1560C4⋊C4—591no—
1561C4⋊C4—591no—
1562C4⋊C4—591no—
1563C4⋊C4—591no—
1564C4⋊C4—1181no—
1565C4⋊C4—1181no—
1566C4⋊C4—1181no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4—1181no—
1581C4⋊C4—1181no—
1582C4⋊C4—1181no—
1583C4⋊C4D4×D5911yescharacteristic
1584C4⋊C4C23×D5911yescharacteristic
1585C4⋊C4C23×D5911yescharacteristic
1586C4⋊C4C23×D5911yescharacteristic
1587C4⋊C4C23×D5911yescharacteristic
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—591no—
1597C22⋊C4—591no—
1598C22⋊C4—591no—
1599C22⋊C4—591no—
1600C22⋊C4—591no—
1601C22⋊C4—591no—
1602C22⋊C4—591no—
1603C22⋊C4—591no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4—1181no—
1618C22⋊C4—1181no—
1619C22⋊C4—1181no—
1620C22⋊C4—1181no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4D4×D5911yescharacteristic
1629C22⋊C4D4×D5911yescharacteristic
1630C42—21no—
1631C42—21no—
1632C42—591no—
1633C42—1181no—
1634C42—1181no—
1635C42—1181no—
1636C42—1181no—
1637C42—1181no—
1638C42—1181no—
1639C42C23×D5911yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—591no—
1643C23—591no—
1644C23—591no—
1645C23—1182no—
1646C23—1181no—
1647C23—1181no—
1648C23—4721no—
1649C23—4721no—
1650C23—4721no—
1651C23—2361no—
1652C23—2361no—
1653C23—2362no—
1654C23—2362no—
1655C23—2362no—
1656C23C2×D4×D5911yescharacteristic
1657C23C2×D4×D5911yescharacteristic
1658Q8—21no—
1659Q8—21no—
1660Q8—21no—
1661Q8—42no—
1662Q8—1182no—
1663Q8—1181no—
1664Q8—1181no—
1665Q8—1181no—
1666Q8—1181no—
1667Q8—4721no—
1668Q8—4721no—
1669Q8—2362no—
1670Q8—2362no—
1671Q8—2362no—
1672Q8#41×D5912yes—
1673D4—21no—
1674D4—21no—
1675D4—21no—
1676D4—21no—
1677D4—41no—
1678D4—42no—
1679D4—42no—
1680D4—81no—
1681D4—81no—
1682D4—592no—
1683D4—1182no—
1684D4—1184no—
1685D4—1182no—
1686D4—1182no—
1687D4—1181no—
1688D4—1181no—
1689D4—1181no—
1690D4—4721no—
1691D4—4721no—
1692D4—4721no—
1693D4—4721no—
1694D4—4721no—
1695D4—4721no—
1696D4—2361no—
1697D4—2362no—
1698D4—2362no—
1699D4—2361no—
1700D4—2361no—
1701D4—2362no—
1702D4—2362no—
1703D4—2362no—
1704D4—2362no—
1705D4—2362no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—42no—
1717C2×C4—42no—
1718C2×C4—81no—
1719C2×C4—81no—
1720C2×C4—591no—
1721C2×C4—592no—
1722C2×C4—592no—
1723C2×C4—591no—
1724C2×C4—591no—
1725C2×C4—591no—
1726C2×C4—591no—
1727C2×C4—1182no—
1728C2×C4—1184no—
1729C2×C4—1182no—
1730C2×C4—1182no—
1731C2×C4—1181no—
1732C2×C4—1181no—
1733C2×C4—1181no—
1734C2×C4—1181no—
1735C2×C4—1181no—
1736C2×C4—1181no—
1737C2×C4—1181no—
1738C2×C4—1181no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—4721no—
1742C2×C4—4721no—
1743C2×C4—4721no—
1744C2×C4—4721no—
1745C2×C4—4721no—
1746C2×C4—4721no—
1747C2×C4—4721no—
1748C2×C4—4721no—
1749C2×C4—4721no—
1750C2×C4—2362no—
1751C2×C4—2362no—
1752C2×C4—2362no—
1753C2×C4—2362no—
1754C2×C4—2362no—
1755C2×C4—2362no—
1756C2×C4—2362no—
1757C2×C4—2362no—
1758C2×C4C2×D4×D5911yescharacteristic
1759C2×C4C2×D4×D5911yescharacteristic
1760C2×C4C2×D4×D5911yescharacteristic
1761C2×C4C2×D4×D5911yescharacteristic
1762C2×C4C24×D5911yescharacteristic
1763C8—21no—
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—1181no—
1768C8—1181no—
1769C8—1181no—
1770C8—1181no—
1771C22—21no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—592no—
1784C22—1181no—
1785C22—1181no—
1786C22—1181no—
1787C22—1182no—
1788C22—1181no—
1789C22—1181no—
1790C22—1181no—
1791C22—1181no—
1792C22—1181no—
1793C22—9442no—
1794C22—4722no—
1795C22—4724no—
1796C22—2361no—
1797C22—2361no—
1798C22—2361no—
1799C22—2361no—
1800C22—2361no—
1801C22C22×D4×D5911yescharacteristic
1802C4—21no—
1803C4—21no—
1804C4—22no—
1805C4—21no—
1806C4—21no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—592no—
1813C4—1181no—
1814C4—1181no—
1815C4—1181no—
1816C4—1181no—
1817C4—2361no—
1818C4—2361no—
1819C4—2361no—
1820C4—2361no—
1821C4—2361no—
1822C4—2361no—
1823C4C2×#41×D5911yescharacteristic
1824C4H(5,𝔽2)×D5911yescharacteristic
1825C2—41no—
1826C2—41no—
1827C2—81no—
1828C2—81no—
1829C2—1182no—
1830C2—4721no—
1831C2—2361no—
1832C2—2361no—
1833C2—2362no—
1834C2#546×D5911yescharacteristic
1835C2#2143887311yescharacteristic
1836C2#2143887811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3326C2
socleC22×C59C23×D4
hypercenter#3326D59
hypocenterC59#61182
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3326

Complements

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

NH ≅ G/Ntype
1. #21437827C2semidirect
2. #21437775C2semidirect
3. #21436402C2semidirect
4. #21436396C2semidirect
5. #21436392C2semidirect
6. #21436386C2semidirect
7. #21436350C2semidirect
8. #21436296C2semidirect
9. #21436292C2semidirect
10. #21436271C2semidirect
11. #21436264C2semidirect
12. #21436259C2semidirect
13. #21436250C2semidirect
14. #21436087C2semidirect
15. #21436080C2semidirect
16. #21436075C2semidirect
17. #21436066C2semidirect
18. #21434460C2semidirect
19. #21434071C2semidirect
20. #21434039C2semidirect
21. #21433950C2semidirect
22. #21433773C2semidirect
23. #468×D59C2semidirect
24. #21433606C2semidirect
25. #21433377C2semidirect
26. #21433345C2semidirect
27. #21432923C2semidirect
28. #21432796C2semidirect
29. #21432628C2semidirect
30. #21432612C2semidirect
31. C59×#3326C2semidirect
36. C2×SD16×D59C22semidirect
37. C2×#14273735C22semidirect
43. #16838100C22semidirect
46. Q8×D236C22semidirect
47. Q8×C22⋊D59C22semidirect
48. #16838059C22semidirect
50. #16838057C22semidirect
51. #16838056C22semidirect
53. #16838054C22semidirect
54. #16838052C22semidirect
56. #16838049C22semidirect
59. #16838045C22semidirect
61. #16838032C22semidirect
68. #16837968C22semidirect
77. #16837882C22semidirect
78. #16837874C22semidirect
80. #16837772C22semidirect
81. #16837769C22semidirect
82. #16837761C22semidirect
83. #16837760C22semidirect
84. #16837755C22semidirect
85. #16837753C22semidirect
86. #16837751C22semidirect
87. #16837746C22semidirect
88. #16837746C22semidirect
89. #16837746C22semidirect
90. #16837743C22semidirect
91. #16837742C22semidirect
92. #16837742C22semidirect
93. #16837739C22semidirect
94. #16837738C22semidirect
95. #16837738C22semidirect
96. #16837735C22semidirect
97. #16837732C22semidirect
98. #16837724C22semidirect
99. #16837714C22semidirect
100. #16837713C22semidirect
101. #16837711C22semidirect
102. #16837701C22semidirect
103. #16837699C22semidirect
104. #16837697C22semidirect
105. #16837695C22semidirect
106. #16837683C22semidirect
107. #16837681C22semidirect
108. #16837654C22semidirect
110. #16837650C22semidirect
112. #16837648C22semidirect
113. #16837648C22semidirect
115. #16837647C22semidirect
116. #16837646C22semidirect
118. #16837636C22semidirect
119. #16837635C22semidirect
120. #16837632C22semidirect
121. #16837629C22semidirect
122. #16837616C22semidirect
123. #16837615C22semidirect
124. #16837614C22semidirect
125. #16837608C22semidirect
126. #16837607C22semidirect
127. #16837606C22semidirect
128. #16837605C22semidirect
129. #16837550C22semidirect
131. #16837549C22semidirect
133. #16837546C22semidirect
135. #16837545C22semidirect
137. #16837542C22semidirect
138. #16837541C22semidirect
140. #16837539C22semidirect
143. #16837513C22semidirect
144. #16837512C22semidirect
145. #16837503C22semidirect
146. #16837500C22semidirect
147. #16837487C22semidirect
148. C4×D472C22semidirect
149. #16837482C22semidirect
150. #16837481C22semidirect
151. #16837478C22semidirect
152. #16837478C22semidirect
153. #16837476C22semidirect
154. #16837474C22semidirect
155. #16837472C22semidirect
156. #16837470C22semidirect
157. #16837441C22semidirect
158. #16837441C22semidirect
159. #107×D59C22semidirect
160. #16837427C22semidirect
161. #16837409C22semidirect
162. #16837409C22semidirect
163. #16837409C22semidirect
164. #16837409C22semidirect
165. #16837409C22semidirect
166. #16837405C22semidirect
167. #16837405C22semidirect
168. #16837404C22semidirect
169. #16837404C22semidirect
170. #16837403C22semidirect
172. #16837402C22semidirect
173. #16837401C22semidirect
177. #16837397C22semidirect
178. #16837396C22semidirect
181. C2×#14273651C22semidirect
182. #103×D59C22semidirect
183. #103×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
187. #16837356C22semidirect
188. C59×#553C22semidirect
189. C59×#548C22semidirect
190. C59×#488C22semidirect
191. C59×#483C22semidirect
192. C59×#482C22semidirect
193. C59×#479C22semidirect
194. C59×#469C22semidirect
195. C59×#468C22semidirect
196. C59×#463C22semidirect
198. C59×#448C22semidirect
199. C4×SD16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#419C22semidirect
202. C59×#417C22semidirect
533. #11745689#41semidirect
914. #3326D59semidirect
962. #553C2×D59semidirect
968. #548C2×D59semidirect
1005. #488C2×D59semidirect
1019. #483C2×D59semidirect
1021. #482C2×D59semidirect
1025. #479C2×D59semidirect
1033. #469C2×D59semidirect
1043. #468C2×D59semidirect
1051. #463C2×D59semidirect
1069. #448C2×D59semidirect
1077. C4×SD16C2×D59semidirect
1083. #436C2×D59semidirect
1097. #419C2×D59semidirect
1107. #417C2×D59semidirect
1121. C59#61182semidirect

Maximal subgroups

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

subgroupindex
#214378272
#214377752
#214364022
#214363962
#214363922
#214363862
#214363502
#214362962
#214362922
#214362712
#214362642
#214362592
#214362502
#214360872
#214360802
#214360752
#214360662
#214344602
#214340712
#214340392
#214339502
#214337732
#468×D592
#214336062
#214333772
#214333452
#214329232
#214327962
#214326282
#214326122
C59×#33262
#6118259