Finite Group Databasebeta

← #29484084

Subgroups — #29484084

Order 15104.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438657C211yesmaximal, characteristic, complemented
2#21438055C211yesmaximal, characteristic, complemented
3#21437168C211yesmaximal, characteristic, complemented
4#21437161C211yesmaximal, characteristic, complemented
5#21436819C211yesmaximal, characteristic, complemented
6#21436811C211yesmaximal, characteristic, complemented
7#21436389C211yesmaximal, characteristic, complemented
8#21436383C211yesmaximal, characteristic, complemented
9#21436256C211yesmaximal, characteristic, complemented
10#21436251C211yesmaximal, characteristic, complemented
11#21436166C211yesmaximal, characteristic, complemented
12#21436155C211yesmaximal, characteristic, complemented
13#21435705C211yesmaximal, characteristic, complemented
14#21435700C211yesmaximal, characteristic, complemented
15#21435605C211yesmaximal, characteristic, complemented
16#21435599C211yesmaximal, characteristic, complemented
17#21435594C211yesmaximal, characteristic, complemented
18#21435584C211yesmaximal, characteristic, complemented
19#21435555C211yesmaximal, characteristic, complemented
20#21435552C211yesmaximal, characteristic, complemented
21#21435480C211yesmaximal, characteristic, complemented
22#21435212C211yesmaximal, characteristic, complemented
23#21435081C211yesmaximal, characteristic, complemented
24#21434282C211yesmaximal, characteristic, complemented
25#21434279C211yesmaximal, characteristic, complemented
26#21434257C211yesmaximal, characteristic, complemented
27#21433604C211yesmaximal, characteristic, complemented
28#21433603C211yesmaximal, characteristic, complemented
29#21433587C211yesmaximal, characteristic, complemented
30#21433261C211yesmaximal, characteristic, complemented
31C59×#3225C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic
33C2×#14273754C2211yescharacteristic
34C2×#14273754C2211yescharacteristic
35C2×#14273752C2211yescharacteristic
36C22×#11745671C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38#16838153—21no—
39#16838149—21no—
40#16838134C2211yescharacteristic, complemented
41#16838126C2211yescharacteristic, complemented
42#16838123C2211yescharacteristic, complemented
43#16838121C2211yescharacteristic, complemented
44#16838118C2211yescharacteristic
45#16838116C2211yescharacteristic
46#16838080—21no—
47#16838080—21no—
48#16838079—21no—
49#16838079—21no—
50#16838067C2211yescharacteristic, complemented
51#16838067C2211yescharacteristic, complemented
52Q8×C22⋊D59C2211yescharacteristic, complemented
53#16838063C2211yescharacteristic
54#16838062—21no—
55#16838059C2211yescharacteristic
56#16838045C2211yescharacteristic
57#16838045C2211yescharacteristic, complemented
58#16838044—21no—
59#16838043C2211yescharacteristic
60#16838040C2211yescharacteristic, complemented
61#16838036C2211yescharacteristic, complemented
62#16838027—21no—
63#16838024C2211yescharacteristic, complemented
64#16838023C2211yescharacteristic, complemented
65#16838022—21no—
66#16838021C2211yescharacteristic, complemented
67#16838020—21no—
68#16837991—21no—
69#16837988—21no—
70#16837986—21no—
71#16837977C2211yescharacteristic, complemented
72#16837957C2211yescharacteristic, complemented
73#16837949C2211yescharacteristic
74#16837935—21no—
75#16837930C2211yescharacteristic
76#124×D59—21no—
77#124×D59C2211yescharacteristic, complemented
78#16837876C2211yescharacteristic, complemented
79#16837874C2211yescharacteristic, complemented
80C4×#11745689C2211yescharacteristic
81#16837795C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic
83#16837788C2211yescharacteristic
84#16837787C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837741C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837697C2211yescharacteristic, complemented
96#16837695C2211yescharacteristic, complemented
97#16837695C2211yescharacteristic, complemented
98#16837695C2211yescharacteristic, complemented
99#16837694C2211yescharacteristic, complemented
100#16837693C2211yescharacteristic, complemented
101#16837683C2211yescharacteristic, complemented
102#16837682C2211yescharacteristic, complemented
103#16837680C2211yescharacteristic, complemented
104#16837679C2211yescharacteristic, complemented
105#16837651C2211yescharacteristic, complemented
106#16837651C2211yescharacteristic, complemented
107#16837651C2211yescharacteristic, complemented
108#16837650C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837645C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837641C2211yescharacteristic, complemented
114#16837640C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic
116#16837636C2211yescharacteristic
117#16837626C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837622C2211yescharacteristic, complemented
121#16837621C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic
123#16837620C2211yescharacteristic
124#16837619C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic, complemented
126#16837618C2211yescharacteristic
127#16837618C2211yescharacteristic, complemented
128#16837617C2211yescharacteristic, complemented
129#16837616C2211yescharacteristic
130#16837614C2211yescharacteristic
131#16837614C2211yescharacteristic
132#16837614C2211yescharacteristic, complemented
133#16837614C2211yescharacteristic, complemented
134#16837614C2211yescharacteristic, complemented
135#16837606C2211yescharacteristic, complemented
136#16837605C2211yescharacteristic, complemented
137#16837604C2211yescharacteristic, complemented
138#16837604C2211yescharacteristic, complemented
139#16837604C2211yescharacteristic, complemented
140#16837604C2211yescharacteristic, complemented
141#16837600C2211yescharacteristic, complemented
142#16837600C2211yescharacteristic, complemented
143#16837563C2211yescharacteristic
144#16837563C2211yescharacteristic
145#16837563C2211yescharacteristic, complemented
146#16837556C2211yescharacteristic, complemented
147#16837555C2211yescharacteristic, complemented
148#16837551C2211yescharacteristic, complemented
149#16837550C2211yescharacteristic
150#16837542C2211yescharacteristic, complemented
151#16837542C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837538C2211yescharacteristic
154#16837537C2211yescharacteristic, complemented
155#16837534C2211yescharacteristic
156#16837534C2211yescharacteristic, complemented
157#16837532C2211yescharacteristic, complemented
158#16837530C2211yescharacteristic, complemented
159#16837515C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic, complemented
161#16837509C2211yescharacteristic, complemented
162#16837509C2211yescharacteristic, complemented
163#16837505C2211yescharacteristic, complemented
164#16837505C2211yescharacteristic, complemented
165#16837505C2211yescharacteristic, complemented
166#16837504C2211yescharacteristic, complemented
167C4×#11745660C2211yescharacteristic, complemented
168SD16×Dic59C2211yescharacteristic, complemented
169C4×D472C2211yescharacteristic
170#16837482C2211yescharacteristic
171#16837481C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837476C2211yescharacteristic, complemented
174#16837475C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837470C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837458C2211yescharacteristic, complemented
179#16837429C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837411C2211yescharacteristic, complemented
183#16837409C2211yescharacteristic, complemented
184#16837409C2211yescharacteristic, complemented
185#16837405C2211yescharacteristic, complemented
186#16837398C2211yescharacteristic, complemented
187#16837397C2211yescharacteristic, complemented
188C59×#542C2211yescharacteristic, complemented
189C59×#536C2211yescharacteristic, complemented
190C59×#497C2211yescharacteristic, complemented
191C59×#495C2211yescharacteristic, complemented
192C59×#489C2211yescharacteristic, complemented
193C59×#487C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#461C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#451C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic
201C59×#448C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×Q8×D59—21no—
207C2×Q8×D59C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C2×D4×D59—21no—
211C2×D4×D59C2311yescharacteristic
212C2×D4×D59C2311yescharacteristic
213#14273759—42no—
214#14273754—42no—
215#14273754—42no—
216#14273752—42no—
217C2×#11745672C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745671—42no—
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229SD16×D59—42no—
230C2×D472C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745664C2311yescharacteristic
236C2×#11745659C2311yescharacteristic
237C2×#11745659C2311yescharacteristic
238C2×#11745659C2311yescharacteristic
239C22×C59⋊C8C2311yescharacteristic
240C2×C8×D59C2311yescharacteristic
241#14273727C2311yescharacteristic
242#14273726—21no—
243#14273726C2311yescharacteristic
244#14273726C2311yescharacteristic
245#14273725—21no—
246#14273725C2311yescharacteristic
247#14273723C2311yescharacteristic
248#14273722—21no—
249#14273722—21no—
250#14273722—21no—
251#14273722—21no—
252#14273722D411yescharacteristic
253#14273721—21no—
254#14273720—21no—
255#14273720—21no—
256#14273720—21no—
257#14273720—21no—
258#14273720D411yescharacteristic
259#14273718—21no—
260#14273717D411yescharacteristic
261#14273716—21no—
262#14273716—21no—
263#14273716—21no—
264#14273716C2311yescharacteristic
265#14273716C2311yescharacteristic
266#14273716C2311yescharacteristic
267#14273715—21no—
268#14273715C2311yescharacteristic
269#14273714—21no—
270#14273714—21no—
271#14273714C2311yescharacteristic
272#14273713—21no—
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713D411yescharacteristic
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712D411yescharacteristic
286#14273711—21no—
287#14273711—21no—
288#14273710—21no—
289#14273709—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709D411yescharacteristic
294#14273707—21no—
295#14273707—21no—
296#14273706—21no—
297#14273706—21no—
298#14273706C2311yescharacteristic
299#14273705—21no—
300#14273705—21no—
301#14273705—21no—
302#14273705—21no—
303#14273705—21no—
304#14273705—21no—
305#14273705—21no—
306#14273705—21no—
307#14273705D411yescharacteristic
308#14273704—21no—
309#14273704—21no—
310#14273703—21no—
311#14273703—21no—
312#14273703—21no—
313#14273703C2311yescharacteristic
314#14273703C2311yescharacteristic
315#14273703C2311yescharacteristic
316#14273703C2311yescharacteristic
317#14273702—21no—
318#14273702—21no—
319#14273702C2311yescharacteristic
320#14273702C2311yescharacteristic
321#14273701—21no—
322#14273701C2311yescharacteristic
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700D411yescharacteristic
328#14273699—21no—
329#14273699—21no—
330#14273698—21no—
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273697—21no—
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273695—21no—
338#14273695—21no—
339Q8×Dic59C2311yescharacteristic
340Q8×Dic59C2311yescharacteristic
341Q8×Dic59C2311yescharacteristic
342Q8×Dic59C2311yescharacteristic
343C4×Dic118C2311yescharacteristic
344C4×Dic118C2311yescharacteristic
345#14273692—21no—
346#14273692—21no—
347C4×D236—21no—
348C4×D236C2311yescharacteristic
349C4×D236C2311yescharacteristic
350C4×D236C2311yescharacteristic
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353C4×D236C2311yescharacteristic
354D4×Dic59C2311yescharacteristic
355D4×Dic59C2311yescharacteristic
356#14273689—21no—
357#14273689—21no—
358#14273689—21no—
359#14273689—21no—
360#14273689C2311yescharacteristic
361#14273689C2311yescharacteristic
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59C2311yescharacteristic
368C4×C22⋊D59C2311yescharacteristic
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371#14273686C2311yescharacteristic
372#14273685—21no—
373#14273685—21no—
374#14273685—21no—
375#14273685—21no—
376#14273685C2311yescharacteristic
377#14273685C2311yescharacteristic
378#14273684C2311yescharacteristic
379#14273683—21no—
380#14273683—21no—
381C2×(C2×D59)⋊C4—21no—
382C2×(C2×D59)⋊C4—21no—
383C22⋊C4×D59—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C42×D59—21no—
392C42×D59C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273659C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439#14273637C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C22×Q8×C59C2311yescharacteristic
443C2×Q16×C59C2311yescharacteristic
444C2×Q16×C59C2311yescharacteristic
445C2×Q16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452C4⋊Q8×C59C2311yescharacteristic
453C4⋊Q8×C59C2311yescharacteristic
454#126×C59—21no—
455#124×C59—21no—
456#124×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460#123×C59—21no—
461#123×C59—21no—
462C22⋊Q8×C59—21no—
463C22⋊Q8×C59—21no—
464C22⋊Q8×C59—21no—
465C22⋊Q8×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467C4×Q8×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469#117×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487#41×C59—41no—
488#41×C59—41no—
489C2×Q8×C59—21no—
490C2×Q8×C59—21no—
491C2×Q8×C59—41no—
492C2×Q8×C59—41no—
493C2×Q8×C59C2411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59C2411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59C2411yescharacteristic
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59C2×D411yescharacteristic
513C2×C22⋊D59C2×D411yescharacteristic
514C22×Dic59—21no—
515C22×Dic59—21no—
516#11745689—22no—
517#11745689—41no—
518#11745689—41no—
519#11745689—41no—
520Q8×D59—41no—
521Q8×D59—41no—
522Q8×D59—41no—
523Q8×D59—41no—
524Q8×D59—82no—
525D4×D59—22no—
526D4×D59—41no—
527D4×D59—41no—
528D4×D59—41no—
529D4×D59—82no—
530#11745685—82no—
531C2×D236—22no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—41no—
538C2×D236C2×D411yescharacteristic
539C2×D236C2411yescharacteristic
540C2×D236C2411yescharacteristic
541C2×D236C2411yescharacteristic
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59C2×D411yescharacteristic
554C2×C4×D59C2×D411yescharacteristic
555C2×C4×D59C2411yescharacteristic
556C2×C4×D59C2411yescharacteristic
557C2×Dic118—21no—
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118—21no—
561C2×Dic118—21no—
562C2×Dic118C2×D411yescharacteristic
563C2×Dic118C2411yescharacteristic
564Q16×C59—41no—
565Q16×C59—41no—
566Q16×C59—41no—
567SD16×C59—41no—
568SD16×C59—41no—
569SD16×C59—41no—
570SD16×C59—41no—
571D8×C59—41no—
572C2×C8×C59C2411yescharacteristic
573C2×C8×C59C2411yescharacteristic
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59C2×D411yescharacteristic
584C4⋊C4×C59C2×D411yescharacteristic
585C4⋊C4×C59C2411yescharacteristic
586C4⋊C4×C59C2411yescharacteristic
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59C2×D411yescharacteristic
597C22⋊C4×C59C2×D411yescharacteristic
598C42×C59—21no—
599C42×C59C2411yescharacteristic
600C42×C59C2411yescharacteristic
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59C2×D411yescharacteristic
610C22⋊Dic59C2×D411yescharacteristic
611#11745672—41no—
612#11745671—22no—
613#11745671—22no—
614#11745671—22no—
615#11745671—41no—
616#11745671—41no—
617#11745671—41no—
618#11745671—41no—
619#11745670—41no—
620#11745669—22no—
621#11745669—41no—
622#11745669—41no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4C2×D411yescharacteristic
648(C2×D59)⋊C4C2×D411yescharacteristic
649(C2×D59)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652(C2×D59)⋊C4C2×D411yescharacteristic
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59C2×D411yescharacteristic
659C4⋊Dic59C2×D411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662C4⋊Dic59C2411yescharacteristic
663C4⋊Dic59C2411yescharacteristic
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C4×Dic59C2411yescharacteristic
692#11745664—41no—
693C2×C59⋊C8—41no—
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698D472—22no—
699D472—41no—
700#11745660—22no—
701#11745660—41no—
702#11745659—41no—
703#11745659—41no—
704#11745659—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59C22×D411yescharacteristic
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—42no—
713C22×D59—42no—
714C22×D59—42no—
715C22×D59—81no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59C22×D411yescharacteristic
722C22×D59C22×D411yescharacteristic
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—21no—
728Q8×C59—21no—
729Q8×C59—21no—
730Q8×C59—21no—
731Q8×C59—81no—
732Q8×C59—81no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—81no—
738D4×C59—81no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—81no—
748C2×C4×C59—81no—
749C2×C4×C59—81no—
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C2511yescharacteristic
756C22⋊D59—41no—
757C22⋊D59—41no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—81no—
771C2×Dic59—81no—
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778D236—21no—
779D236—21no—
780D236—21no—
781D236—21no—
782D236—21no—
783D236—41no—
784D236—42no—
785D236—42no—
786D236—81no—
787D236—81no—
788D236—81no—
789D236H(5,𝔽2)12yes—
790C4×D59—21no—
791C4×D59—21no—
792C4×D59—21no—
793C4×D59—21no—
794C4×D59—41no—
795C4×D59—41no—
796C4×D59—42no—
797C4×D59—42no—
798C4×D59—81no—
799C4×D59—81no—
800C4×D59—81no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807Dic118—21no—
808Dic118—21no—
809Dic118—41no—
810Dic118—42no—
811Dic118—81no—
812Dic118—81no—
813Dic118—81no—
814Dic118—81no—
815C8×C59—21no—
816C8×C59—21no—
817C8×C59—21no—
818C8×C59—21no—
819C59⋊C8—21no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823#62087—591nomaximal, Sylow
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59C23×D411yescharacteristic
834C2×D59—21no—
835C2×D59—21no—
836C2×D59—21no—
837C2×D59—21no—
838C2×D59—21no—
839C2×D59—21no—
840C2×D59—22no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—162no—
850C2×D59—162no—
851C2×D59—162no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59C2×H(5,𝔽2)11yescharacteristic
864C4×C59#58511yescharacteristic
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—21no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876#3561—591no—
877#3514—591no—
878#3401—591no—
879#3401—591no—
880#3367—591no—
881#3367—591no—
882#3329—591no—
883#3329—591no—
884#3319—591no—
885#3319—591no—
886#3313—591no—
887#3313—591no—
888#3273—591no—
889#3273—591no—
890#3266—591no—
891#3266—591no—
892#3265—591no—
893#3265—591no—
894#3262—591no—
895#3262—591no—
896#3254—591no—
897#3225—591no—
898#3225D5911yescharacteristic, complemented
899#3213—591no—
900#3118—591no—
901#3118—591no—
902#3116—591no—
903#3042—591no—
904#3042—591no—
905#3040—591no—
906#2995—591no—
907C2×C59—41no—
908C2×C59—81no—
909C2×C59—81no—
910C2×C59#348811yescharacteristic
911C2×C59#358511yescharacteristic
912C2×C59#358611yescharacteristic
913D59—41no—
914D59—41no—
915D59—42no—
916D59—81no—
917D59—81no—
918C2×#137—591no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C2×AGL(1,ℤ/8)—591no—
922C22×SD16—591no—
923C22×SD16—591no—
924#563—1181no—
925#562—1181no—
926#559—591no—
927#556—591no—
928#556—591no—
929#556—591no—
930#555—591no—
931#555—591no—
932#551—1181no—
933#551—1181no—
934#551—1181no—
935#551—1181no—
936D4×Q8—591no—
937D4×Q8—591no—
938D4×Q8—591no—
939#548—591no—
940#548—591no—
941#548—1181no—
942#546—591no—
943#546—591no—
944#546—591no—
945#546—591no—
946#546—1181no—
947D42—591no—
948#543—1181no—
949#542—591no—
950#542—591no—
951#542—591no—
952#542—1181no—
953#542—1181no—
954#542C2×D5911yescharacteristic, complemented
955#538—1181no—
956#538—1181no—
957#538—1181no—
958#536—591no—
959#536C2×D5911yescharacteristic, complemented
960#533—591no—
961#532—591no—
962#529—591no—
963#529—1181no—
964C2×#124—591no—
965C2×#124—1181no—
966#518—591no—
967#518—591no—
968C4×#41—591no—
969#497—591no—
970#497C2×D5911yescharacteristic, complemented
971#496—591no—
972#496—591no—
973#495—591no—
974#495C2×D5911yescharacteristic, complemented
975#489—591no—
976#489—591no—
977#489—591no—
978#489C2×D5911yescharacteristic, complemented
979#487—591no—
980#487C2×D5911yescharacteristic, complemented
981#485—591no—
982#485—591no—
983#485—591no—
984#485—591no—
985#482—591no—
986#482—591no—
987#477—591no—
988#477—591no—
989#477—591no—
990#477—591no—
991#477—591no—
992#476—591no—
993#474—591no—
994#474—591no—
995#474—591no—
996#474—591no—
997#468—591no—
998#468—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468—591no—
1004#468—591no—
1005#467—591no—
1006#467—591no—
1007#466—591no—
1008#466—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464C2×D5911yescharacteristic, complemented
1015#463—591no—
1016#463—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463C2×D5911yescharacteristic, complemented
1029#462C2×D5911yescharacteristic, complemented
1030#461—591no—
1031#461—591no—
1032#461—591no—
1033#461—591no—
1034#461—591no—
1035#461—591no—
1036#461C2×D5911yescharacteristic, complemented
1037#460—591no—
1038#460—591no—
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#452C2×D5911yescharacteristic, complemented
1043#451—591no—
1044#451C2×D5911yescharacteristic, complemented
1045#450—591no—
1046#450—591no—
1047#449—591no—
1048#449C2×D5911yescharacteristic
1049#448—591no—
1050#448—591no—
1051#448—591no—
1052#448C2×D5911yescharacteristic, complemented
1053#447—591no—
1054#447—591no—
1055#447—591no—
1056#447—591no—
1057#446—591no—
1058#446—591no—
1059#442—591no—
1060#442—591no—
1061#441—591no—
1062#441—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440—591no—
1067C4×SD16—591no—
1068C4×SD16—591no—
1069C4×D8—591no—
1070C4×D8—591no—
1071#436—591no—
1072#436—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#435—591no—
1077#433—591no—
1078#433C2×D5911yescharacteristic, complemented
1079#432—591no—
1080#424—591no—
1081#424—591no—
1082#423—591no—
1083#419—591no—
1084#419—591no—
1085#419—591no—
1086#418—591no—
1087#416—591no—
1088#416—591no—
1089C59#6208711yescharacteristic, complemented, Sylow
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—1181no—
1093C2×#41C22×D5911yescharacteristic
1094C22×Q8—591no—
1095C22×Q8—591no—
1096C22×Q8—1181no—
1097C22×Q8C22×D5911yescharacteristic
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—591no—
1101C22×D4—1181no—
1102#137—2362no—
1103AGL(1,ℤ/8)—2362no—
1104AGL(1,ℤ/8)—2362no—
1105AGL(1,ℤ/8)—2362no—
1106C2×Q16—591no—
1107C2×Q16C22×D5911yescharacteristic
1108C2×Q16C22×D5911yescharacteristic
1109C2×Q16C22×D5911yescharacteristic
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—2362no—
1121C2×SD16—2362no—
1122C2×SD16C22×D5911yescharacteristic
1123C2×SD16C22×D5911yescharacteristic
1124C2×SD16C22×D5911yescharacteristic
1125C2×SD16C22×D5911yescharacteristic
1126C2×D8—591no—
1127C2×D8—591no—
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8—591no—
1131C2×D8C22×D5911yescharacteristic
1132C2×M16—591no—
1133C2×M16—591no—
1134C2×M16—591no—
1135C2×M16—591no—
1136C22×C8—591no—
1137C22×C8—591no—
1138C4⋊Q8—591no—
1139C4⋊Q8—591no—
1140C4⋊Q8—591no—
1141C4⋊Q8—591no—
1142C4⋊Q8—1181no—
1143C4⋊Q8—1181no—
1144C4⋊Q8C22×D5911yescharacteristic
1145C4⋊Q8C22×D5911yescharacteristic
1146C4⋊Q8C22×D5911yescharacteristic
1147#127—591no—
1148#126—21no—
1149#126—591no—
1150#126—591no—
1151#126—1181no—
1152#126—1181no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#125—591no—
1161#125—1181no—
1162#124—21no—
1163#124—591no—
1164#124—591no—
1165#124—591no—
1166#124—591no—
1167#124—591no—
1168#124—591no—
1169#124—1181no—
1170#124—1181no—
1171#124—1181no—
1172#124—1181no—
1173#124—1181no—
1174#124—1181no—
1175#124—1181no—
1176#124—1181no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124C22×D5911yescharacteristic
1184#124C22×D5911yescharacteristic
1185#124C22×D5911yescharacteristic
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—591no—
1190#123—591no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—591no—
1206C22⋊Q8—591no—
1207C22⋊Q8—591no—
1208C22⋊Q8—591no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8—1181no—
1225C22⋊Q8—1181no—
1226C22⋊Q8—1181no—
1227C22⋊Q8—1181no—
1228C22⋊Q8C22×D5911yescharacteristic
1229#121—591no—
1230#121—591no—
1231#121—591no—
1232#121—591no—
1233#121—591no—
1234#121—591no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121C22×D5911yescharacteristic
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×Q8—1181no—
1259C4×Q8—1181no—
1260C4×Q8C22×D5911yescharacteristic
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4C22×D5911yescharacteristic
1286#117—591no—
1287#117—591no—
1288#117—591no—
1289#117—591no—
1290#117—1181no—
1291#117—1181no—
1292#117—1181no—
1293#117—1181no—
1294#117—1181no—
1295#117—1181no—
1296#117C22×D5911yescharacteristic
1297C2×C22⋊C4—1181no—
1298C2×C22⋊C4—1181no—
1299C2×C22⋊C4—1181no—
1300C2×C22⋊C4—1181no—
1301C2×C22⋊C4—1181no—
1302C2×C22⋊C4—1181no—
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C42—591no—
1308C2×C42—1181no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107—591no—
1314#107—591no—
1315#106—591no—
1316#106—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8—591no—
1325C4⋊C8C22×D5911yescharacteristic
1326C4⋊C8C22×D5911yescharacteristic
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103C22×D5911yescharacteristic
1340#103C22×D5911yescharacteristic
1341#103C22×D5911yescharacteristic
1342#103C22×D5911yescharacteristic
1343#103C22×D5911yescharacteristic
1344#103C22×D5911yescharacteristic
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102C22×D5911yescharacteristic
1358#102C22×D5911yescharacteristic
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363C22⋊C8C22×D5911yescharacteristic
1364C22⋊C8C22×D5911yescharacteristic
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368#97C22×D5911yescharacteristic
1369C4×C8—591no—
1370C4×C8C22×D5911yescharacteristic
1371C24—1181no—
1372C24—1181no—
1373C24—1181no—
1374#41—41no—
1375#41—41no—
1376#41—1182no—
1377#41—4722no—
1378#41—2361no—
1379#41—2361no—
1380#41—2361no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—41no—
1384C2×Q8—41no—
1385C2×Q8—591no—
1386C2×Q8—591no—
1387C2×Q8—1181no—
1388C2×Q8—1181no—
1389C2×Q8—1181no—
1390C2×Q8—1181no—
1391C2×Q8—1181no—
1392C2×Q8—4722no—
1393C2×Q8—2361no—
1394C2×Q8—2361no—
1395C2×Q8—2361no—
1396C2×Q8—2361no—
1397C2×Q8C23×D5911yescharacteristic
1398C2×Q8C23×D5911yescharacteristic
1399C2×Q8C23×D5911yescharacteristic
1400C2×Q8C23×D5911yescharacteristic
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—591no—
1404C2×D4—591no—
1405C2×D4—591no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—1182no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1182no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—4722no—
1424C2×D4—2361no—
1425C2×D4—2361no—
1426C2×D4—2361no—
1427C2×D4—2361no—
1428C2×D4C23×D5911yescharacteristic
1429C2×D4C23×D5911yescharacteristic
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—591no—
1434C22×C4—591no—
1435C22×C4—591no—
1436C22×C4—591no—
1437C22×C4—1181no—
1438C22×C4—1181no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4C23×D5911yescharacteristic
1451Q16—41no—
1452Q16—41no—
1453Q16—41no—
1454Q16—2361no—
1455SD16—41no—
1456SD16—41no—
1457SD16—41no—
1458SD16—41no—
1459SD16—1182no—
1460SD16—1182no—
1461SD16—1182no—
1462SD16—1182no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469D8—41no—
1470D8—1182no—
1471D8—1182no—
1472D8—2361no—
1473D8—2361no—
1474D8—2361no—
1475M16—2361no—
1476M16—2361no—
1477M16—2361no—
1478M16—2361no—
1479C2×C8—591no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—2361no—
1484C2×C8—2361no—
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C2×C8C23×D5911yescharacteristic
1488C2×C8C23×D5911yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—591no—
1501C4⋊C4—591no—
1502C4⋊C4—591no—
1503C4⋊C4—591no—
1504C4⋊C4—591no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—591no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4D4×D5911yescharacteristic
1524C4⋊C4D4×D5911yescharacteristic
1525C4⋊C4C23×D5911yescharacteristic
1526C4⋊C4C23×D5911yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—591no—
1537C22⋊C4—591no—
1538C22⋊C4—591no—
1539C22⋊C4—591no—
1540C22⋊C4—591no—
1541C22⋊C4—591no—
1542C22⋊C4—591no—
1543C22⋊C4—591no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4D4×D5911yescharacteristic
1577C22⋊C4D4×D5911yescharacteristic
1578C42—21no—
1579C42—591no—
1580C42—591no—
1581C42—591no—
1582C42—591no—
1583C42—1181no—
1584C42—1181no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42—1181no—
1591C42C23×D5911yescharacteristic
1592C42C23×D5911yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—591no—
1596C23—591no—
1597C23—1181no—
1598C23—1181no—
1599C23—1181no—
1600C23—4721no—
1601C23—4721no—
1602C23—4721no—
1603C23—4721no—
1604C23—4721no—
1605C23—4721no—
1606C23—2362no—
1607C23—2362no—
1608C23—2362no—
1609C23C2×D4×D5911yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—81no—
1619Q8—81no—
1620Q8—1181no—
1621Q8—1181no—
1622Q8—4721no—
1623Q8—4721no—
1624Q8—4721no—
1625Q8—4721no—
1626Q8—2361no—
1627Q8—2362no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—81no—
1633D4—81no—
1634D4—592no—
1635D4—1181no—
1636D4—1181no—
1637D4—1181no—
1638D4—1181no—
1639D4—1181no—
1640D4—4721no—
1641D4—4721no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—2361no—
1649D4—2362no—
1650D4—2362no—
1651D4—2361no—
1652D4—2361no—
1653D4—2362no—
1654D4—2362no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—81no—
1666C2×C4—591no—
1667C2×C4—591no—
1668C2×C4—591no—
1669C2×C4—591no—
1670C2×C4—591no—
1671C2×C4—591no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—4721no—
1682C2×C4—4721no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4—4721no—
1689C2×C4—4721no—
1690C2×C4—4721no—
1691C2×C4—4721no—
1692C2×C4—2361no—
1693C2×C4—2361no—
1694C2×C4—2362no—
1695C2×C4—2362no—
1696C2×C4C2×D4×D5911yescharacteristic
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C2×D4×D5911yescharacteristic
1700C2×C4C2×D4×D5911yescharacteristic
1701C2×C4C24×D5911yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1181no—
1707C8—1181no—
1708C8—1181no—
1709C8—1181no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—1181no—
1720C22—1181no—
1721C22—1182no—
1722C22—1181no—
1723C22—1181no—
1724C22—1181no—
1725C22—1181no—
1726C22—9442no—
1727C22—9442no—
1728C22—9442no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22C22×D4×D5911yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—1181no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—1181no—
1754C4—1181no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4H(5,𝔽2)×D5911yescharacteristic
1761C4#1683823711yescharacteristic
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—4721no—
1766C2—4721no—
1767C2—2361no—
1768C2—2361no—
1769C2—2362no—
1770C2#2143776311yescharacteristic
1771C2#2143887411yescharacteristic
1772C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3225C2
socleC22×C59C23×D4
hypercenter#3225D59
hypocenterC59#62087
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3225

Complements

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

NH ≅ G/Ntype
1. #21438657C2semidirect
2. #21438055C2semidirect
3. #21437168C2semidirect
4. #21437161C2semidirect
5. #21436819C2semidirect
6. #21436811C2semidirect
7. #21436389C2semidirect
8. #21436383C2semidirect
9. #21436256C2semidirect
10. #21436251C2semidirect
11. #21436166C2semidirect
12. #21436155C2semidirect
13. #21435705C2semidirect
14. #21435700C2semidirect
15. #21435605C2semidirect
16. #21435599C2semidirect
17. #21435594C2semidirect
18. #21435584C2semidirect
19. #21435555C2semidirect
20. #21435552C2semidirect
21. #21435480C2semidirect
22. #21435212C2semidirect
23. #21435081C2semidirect
24. #21434282C2semidirect
25. #21434279C2semidirect
26. #21434257C2semidirect
27. #21433604C2semidirect
28. #21433603C2semidirect
29. #21433587C2semidirect
30. #21433261C2semidirect
31. C59×#3225C2semidirect
36. C22×#11745671C22semidirect
37. C2×SD16×D59C22semidirect
40. #16838134C22semidirect
41. #16838126C22semidirect
42. #16838123C22semidirect
43. #16838121C22semidirect
50. #16838067C22semidirect
51. #16838067C22semidirect
52. Q8×C22⋊D59C22semidirect
57. #16838045C22semidirect
60. #16838040C22semidirect
61. #16838036C22semidirect
63. #16838024C22semidirect
64. #16838023C22semidirect
66. #16838021C22semidirect
71. #16837977C22semidirect
72. #16837957C22semidirect
77. #124×D59C22semidirect
78. #16837876C22semidirect
79. #16837874C22semidirect
81. #16837795C22semidirect
84. #16837787C22semidirect
85. #16837763C22semidirect
86. #16837763C22semidirect
87. #16837760C22semidirect
88. #16837751C22semidirect
89. #16837744C22semidirect
90. #16837741C22semidirect
91. #16837741C22semidirect
92. #16837741C22semidirect
93. #16837727C22semidirect
94. #16837725C22semidirect
95. #16837697C22semidirect
96. #16837695C22semidirect
97. #16837695C22semidirect
98. #16837695C22semidirect
99. #16837694C22semidirect
100. #16837693C22semidirect
101. #16837683C22semidirect
102. #16837682C22semidirect
103. #16837680C22semidirect
104. #16837679C22semidirect
105. #16837651C22semidirect
106. #16837651C22semidirect
107. #16837651C22semidirect
108. #16837650C22semidirect
109. #16837646C22semidirect
110. #16837645C22semidirect
111. #16837645C22semidirect
112. #16837645C22semidirect
113. #16837641C22semidirect
114. #16837640C22semidirect
117. #16837626C22semidirect
118. #16837626C22semidirect
119. #16837624C22semidirect
120. #16837622C22semidirect
121. #16837621C22semidirect
124. #16837619C22semidirect
125. #16837619C22semidirect
127. #16837618C22semidirect
128. #16837617C22semidirect
132. #16837614C22semidirect
133. #16837614C22semidirect
134. #16837614C22semidirect
135. #16837606C22semidirect
136. #16837605C22semidirect
137. #16837604C22semidirect
138. #16837604C22semidirect
139. #16837604C22semidirect
140. #16837604C22semidirect
141. #16837600C22semidirect
142. #16837600C22semidirect
145. #16837563C22semidirect
146. #16837556C22semidirect
147. #16837555C22semidirect
148. #16837551C22semidirect
150. #16837542C22semidirect
151. #16837542C22semidirect
152. #16837539C22semidirect
154. #16837537C22semidirect
156. #16837534C22semidirect
157. #16837532C22semidirect
158. #16837530C22semidirect
159. #16837515C22semidirect
160. #16837514C22semidirect
161. #16837509C22semidirect
162. #16837509C22semidirect
163. #16837505C22semidirect
164. #16837505C22semidirect
165. #16837505C22semidirect
166. #16837504C22semidirect
167. C4×#11745660C22semidirect
168. SD16×Dic59C22semidirect
171. #16837481C22semidirect
172. #16837477C22semidirect
173. #16837476C22semidirect
174. #16837475C22semidirect
175. #16837470C22semidirect
176. #16837470C22semidirect
177. #16837462C22semidirect
178. #16837458C22semidirect
179. #16837429C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
182. #16837411C22semidirect
183. #16837409C22semidirect
184. #16837409C22semidirect
185. #16837405C22semidirect
186. #16837398C22semidirect
187. #16837397C22semidirect
188. C59×#542C22semidirect
189. C59×#536C22semidirect
190. C59×#497C22semidirect
191. C59×#495C22semidirect
192. C59×#489C22semidirect
193. C59×#487C22semidirect
194. C59×#464C22semidirect
195. C59×#463C22semidirect
196. C59×#462C22semidirect
197. C59×#461C22semidirect
198. C59×#452C22semidirect
199. C59×#451C22semidirect
201. C59×#448C22semidirect
202. C59×#433C22semidirect
898. #3225D59semidirect
954. #542C2×D59semidirect
959. #536C2×D59semidirect
970. #497C2×D59semidirect
974. #495C2×D59semidirect
978. #489C2×D59semidirect
980. #487C2×D59semidirect
1014. #464C2×D59semidirect
1028. #463C2×D59semidirect
1029. #462C2×D59semidirect
1036. #461C2×D59semidirect
1042. #452C2×D59semidirect
1044. #451C2×D59semidirect
1052. #448C2×D59semidirect
1078. #433C2×D59semidirect
1089. C59#62087semidirect

Maximal subgroups

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

subgroupindex
#214386572
#214380552
#214371682
#214371612
#214368192
#214368112
#214363892
#214363832
#214362562
#214362512
#214361662
#214361552
#214357052
#214357002
#214356052
#214355992
#214355942
#214355842
#214355552
#214355522
#214354802
#214352122
#214350812
#214342822
#214342792
#214342572
#214336042
#214336032
#214335872
#214332612
C59×#32252
#6208759