Finite Group Databasebeta

← #29481250

Subgroups — #29481250

Order 15104.

1930 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438059C211yesmaximal, characteristic, complemented
2#21437702C211yesmaximal, characteristic, complemented
3#21437183C211yesmaximal, characteristic, complemented
4#21437159C211yesmaximal, characteristic, complemented
5#21436926C211yesmaximal, characteristic, complemented
6#21436852C211yesmaximal, characteristic, complemented
7#21436344C211yesmaximal, characteristic, complemented
8#21436292C211yesmaximal, characteristic, complemented
9#21436264C211yesmaximal, characteristic, complemented
10#21436234C211yesmaximal, characteristic, complemented
11#21436202C211yesmaximal, characteristic, complemented
12#21436172C211yesmaximal, characteristic, complemented
13#21435724C211yesmaximal, characteristic, complemented
14#21435704C211yesmaximal, characteristic, complemented
15#21435601C211yesmaximal, characteristic, complemented
16#21435598C211yesmaximal, characteristic, complemented
17#21435583C211yesmaximal, characteristic, complemented
18#21435582C211yesmaximal, characteristic, complemented
19#21435457C211yesmaximal, characteristic, complemented
20#21435450C211yesmaximal, characteristic, complemented
21#21435129C211yesmaximal, characteristic, complemented
22#21435081C211yesmaximal, characteristic, complemented
23#21435065C211yesmaximal, characteristic, complemented
24#21434230C211yesmaximal, characteristic, complemented
25#21434212C211yesmaximal, characteristic, complemented
26#21434148C211yesmaximal, characteristic, complemented
27#21433587C211yesmaximal, characteristic, complemented
28#21433562C211yesmaximal, characteristic, complemented
29#463×D59C211yesmaximal, characteristic, complemented
30#21433210C211yesmaximal, characteristic, complemented
31C59×#3256C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic, complemented
33C2×#14273755C2211yescharacteristic, complemented
34C2×#14273755C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic
38#16838137C2211yescharacteristic, complemented
39#16838134C2211yescharacteristic, complemented
40#16838122C2211yescharacteristic, complemented
41#16838117—21no—
42#16838110C2211yescharacteristic, complemented
43#16838108C2211yescharacteristic, complemented
44#16838105C2211yescharacteristic
45#16838104C2211yescharacteristic, complemented
46#16838103—21no—
47#16838077—21no—
48#16838077—21no—
49#16838077—21no—
50#16838075—21no—
51Q8×D236C2211yescharacteristic, complemented
52#16838062C2211yescharacteristic
53#16838062C2211yescharacteristic, complemented
54#16838049C2211yescharacteristic
55#16838049C2211yescharacteristic, complemented
56#16838048—21no—
57#16838045C2211yescharacteristic
58#16838044—21no—
59#16838043C2211yescharacteristic, complemented
60D4×D236C2211yescharacteristic, complemented
61#16838036C2211yescharacteristic, complemented
62#16838023—21no—
63#16837988—21no—
64#16837988—21no—
65#16837952C2211yescharacteristic, complemented
66#16837949C2211yescharacteristic, complemented
67#16837939C2211yescharacteristic, complemented
68#16837937C2211yescharacteristic, complemented
69#16837937C2211yescharacteristic, complemented
70#16837930—21no—
71#124×D59C2211yescharacteristic, complemented
72#124×D59C2211yescharacteristic, complemented
73#16837914—21no—
74#16837911—21no—
75#16837876—21no—
76C4×#11745689C2211yescharacteristic, complemented
77C4×#11745685C2211yescharacteristic
78C2×C4×D236C2211yescharacteristic, complemented
79C4×D4×D59—21no—
80C4×D4×D59C2211yescharacteristic, complemented
81#16837797C2211yescharacteristic, complemented
82#16837792C2211yescharacteristic, complemented
83#16837790C2211yescharacteristic
84#16837788C2211yescharacteristic, complemented
85#16837787C2211yescharacteristic, complemented
86#16837783C2211yescharacteristic, complemented
87#16837772C2211yescharacteristic, complemented
88#16837768C2211yescharacteristic, complemented
89#16837763C2211yescharacteristic, complemented
90#16837760C2211yescharacteristic, complemented
91#16837758C2211yescharacteristic, complemented
92#16837755C2211yescharacteristic, complemented
93#16837746C2211yescharacteristic, complemented
94#16837739C2211yescharacteristic, complemented
95#16837730C2211yescharacteristic, complemented
96#16837729C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic, complemented
99#16837708C2211yescharacteristic, complemented
100#16837701C2211yescharacteristic, complemented
101#16837699C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837686C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837656C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837642C2211yescharacteristic, complemented
110#16837639C2211yescharacteristic
111#16837634C2211yescharacteristic, complemented
112#16837632C2211yescharacteristic, complemented
113#16837627C2211yescharacteristic, complemented
114#16837626C2211yescharacteristic, complemented
115#16837624C2211yescharacteristic, complemented
116#16837624C2211yescharacteristic, complemented
117#16837622C2211yescharacteristic, complemented
118#16837620C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837618C2211yescharacteristic, complemented
125#16837618C2211yescharacteristic, complemented
126#16837617C2211yescharacteristic, complemented
127#16837617C2211yescharacteristic, complemented
128#16837616C2211yescharacteristic
129#16837616C2211yescharacteristic
130#16837615C2211yescharacteristic, complemented
131#16837614C2211yescharacteristic
132#16837614C2211yescharacteristic, complemented
133#16837608C2211yescharacteristic, complemented
134#16837608C2211yescharacteristic, complemented
135#16837601C2211yescharacteristic, complemented
136#16837598C2211yescharacteristic
137#16837598C2211yescharacteristic, complemented
138#16837596C2211yescharacteristic, complemented
139#16837567C2211yescharacteristic, complemented
140#16837562C2211yescharacteristic, complemented
141#16837562C2211yescharacteristic, complemented
142#16837556C2211yescharacteristic, complemented
143#16837554C2211yescharacteristic, complemented
144#16837552C2211yescharacteristic, complemented
145#16837551C2211yescharacteristic, complemented
146#16837550C2211yescharacteristic
147#16837545C2211yescharacteristic, complemented
148#16837545C2211yescharacteristic, complemented
149#16837542C2211yescharacteristic, complemented
150#16837542C2211yescharacteristic, complemented
151#16837539C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic
153#16837537C2211yescharacteristic
154#16837537C2211yescharacteristic, complemented
155#16837535C2211yescharacteristic
156#16837534C2211yescharacteristic, complemented
157#16837531C2211yescharacteristic, complemented
158#16837531C2211yescharacteristic, complemented
159#16837513C2211yescharacteristic, complemented
160#16837512C2211yescharacteristic
161#16837512C2211yescharacteristic, complemented
162#16837506C2211yescharacteristic, complemented
163#16837505C2211yescharacteristic, complemented
164#16837501C2211yescharacteristic, complemented
165#16837500C2211yescharacteristic, complemented
166#16837500C2211yescharacteristic, complemented
167#16837493C2211yescharacteristic, complemented
168#16837489C2211yescharacteristic, complemented
169#16837484C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic, complemented
172#16837478C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174#16837472C2211yescharacteristic, complemented
175#16837471C2211yescharacteristic, complemented
176#16837471C2211yescharacteristic, complemented
177#16837459C2211yescharacteristic, complemented
178#16837458C2211yescharacteristic, complemented
179#16837454C2211yescharacteristic, complemented
180#16837424C2211yescharacteristic, complemented
181C4⋊C8×D59C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837404C2211yescharacteristic, complemented
185#16837404C2211yescharacteristic, complemented
186#103×D59C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic, complemented
189C59×#529C2211yescharacteristic, complemented
190C59×#479C2211yescharacteristic, complemented
191C59×#479C2211yescharacteristic, complemented
192C59×#478C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#469C2211yescharacteristic
196C59×#468C2211yescharacteristic, complemented
197C59×#468C2211yescharacteristic, complemented
198C59×#464C2211yescharacteristic, complemented
199C59×#464C2211yescharacteristic, complemented
200C59×#463C2211yescharacteristic, complemented
201C59×#463C2211yescharacteristic, complemented
202C59×#423C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685D411yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C2×Q8×D59C2311yescharacteristic
210C22×D236—21no—
211C22×D236C2311yescharacteristic
212C2×D4×D59—21no—
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215C2×D4×D59C2311yescharacteristic
216C22×C4×D59—21no—
217C22×C4×D59—21no—
218#14273759—42no—
219#14273755—42no—
220#14273755—42no—
221#14273754—42no—
222C2×#11745672C2311yescharacteristic
223C2×#11745672C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234SD16×D59—42no—
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×D472C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243D8×D59—42no—
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×C8×D59C2311yescharacteristic
247C2×C8×D59C2311yescharacteristic
248#14273727—21no—
249#14273727C2311yescharacteristic
250#14273726C2311yescharacteristic
251#14273724C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273722—21no—
254#14273722—21no—
255#14273722—21no—
256#14273722—21no—
257#14273720—21no—
258#14273720—21no—
259#14273720—21no—
260#14273718C2311yescharacteristic
261#14273717—21no—
262#14273716C2311yescharacteristic
263#14273716C2311yescharacteristic
264#14273716C2311yescharacteristic
265#14273715—21no—
266#14273715C2311yescharacteristic
267#14273715C2311yescharacteristic
268#14273714C2311yescharacteristic
269#14273714C2311yescharacteristic
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273711—21no—
286#14273711—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709—21no—
291#14273707—21no—
292#14273707—21no—
293#14273707—21no—
294#14273707—21no—
295#14273707C2311yescharacteristic
296#14273707C2311yescharacteristic
297#14273706—21no—
298#14273705—21no—
299#14273705—21no—
300#14273705—21no—
301#14273705—21no—
302#14273704—21no—
303#14273703C2311yescharacteristic
304#14273702—21no—
305#14273702—21no—
306#14273702C2311yescharacteristic
307#14273702C2311yescharacteristic
308#14273702C2311yescharacteristic
309#14273702C2311yescharacteristic
310#14273701—21no—
311#14273701—21no—
312#14273701—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273699—21no—
319#14273698—21no—
320#14273698—21no—
321#14273698C2311yescharacteristic
322#14273697—21no—
323#14273697—21no—
324#14273697—21no—
325#14273697—21no—
326#14273697—21no—
327#14273695—21no—
328#14273695—21no—
329#14273695—21no—
330Q8×Dic59C2311yescharacteristic
331C4×Dic118D411yescharacteristic
332C4×Dic118C2311yescharacteristic
333#14273692C2311yescharacteristic
334#14273692C2311yescharacteristic
335C4×D236—21no—
336C4×D236—21no—
337C4×D236—21no—
338C4×D236—21no—
339C4×D236—21no—
340C4×D236—21no—
341C4×D236—21no—
342C4×D236—21no—
343C4×D236D411yescharacteristic
344C4×D236C2311yescharacteristic
345C4×D236C2311yescharacteristic
346C4×D236C2311yescharacteristic
347C4×D236C2311yescharacteristic
348C4×D236C2311yescharacteristic
349D4×Dic59—21no—
350D4×Dic59C2311yescharacteristic
351#14273689—21no—
352#14273689—21no—
353#14273689—21no—
354#14273689—21no—
355#14273689—21no—
356#14273689—21no—
357#14273689C2311yescharacteristic
358#14273689C2311yescharacteristic
359#14273689C2311yescharacteristic
360#14273689C2311yescharacteristic
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59D411yescharacteristic
364C4×C22⋊D59D411yescharacteristic
365C4×C22⋊D59C2311yescharacteristic
366C4×C22⋊D59C2311yescharacteristic
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370#14273686—21no—
371#14273686D411yescharacteristic
372#14273685—21no—
373#14273685—21no—
374#14273685—21no—
375#14273685C2311yescharacteristic
376#14273684—21no—
377#14273684D411yescharacteristic
378#14273684D411yescharacteristic
379C2×C4⋊Dic59C2311yescharacteristic
380C4⋊C4×D59—21no—
381C4⋊C4×D59C2311yescharacteristic
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—
391C22⋊C4×D59—21no—
392C42×D59—21no—
393C42×D59C2311yescharacteristic
394C42×D59C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400C4⋊(C59⋊C8)C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429C22⋊(C59⋊C8)C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435#14273638C2311yescharacteristic
436#14273638C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×Q16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×M16×C59C2311yescharacteristic
446C2×M16×C59C2311yescharacteristic
447#126×C59—21no—
448#126×C59—21no—
449#125×C59C2311yescharacteristic
450#125×C59C2311yescharacteristic
451#124×C59C2311yescharacteristic
452#124×C59C2311yescharacteristic
453#123×C59—21no—
454#123×C59—21no—
455C22⋊Q8×C59C2311yescharacteristic
456C22⋊Q8×C59C2311yescharacteristic
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459C4×Q8×C59C2311yescharacteristic
460C4×Q8×C59C2311yescharacteristic
461C4×D4×C59—21no—
462C4×D4×C59—21no—
463C4×D4×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465#117×C59—21no—
466#117×C59—21no—
467C2×C42×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#107×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475C4⋊C8×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
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C2×Q8×C59C2411yescharacteristic
489C2×Q8×C59C2411yescharacteristic
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59C2411yescharacteristic
493C2×D4×C59C2411yescharacteristic
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59C2×D411yescharacteristic
497C22×C4×C59C2×D411yescharacteristic
498C22×C4×C59C2411yescharacteristic
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59C2×D411yescharacteristic
508C2×C22⋊D59C2×D411yescharacteristic
509C22×Dic59—21no—
510C22×Dic59—21no—
511#11745689—22no—
512#11745689—41no—
513Q8×D59—41no—
514Q8×D59—41no—
515Q8×D59—41no—
516Q8×D59—41no—
517D4×D59—22no—
518D4×D59—41no—
519D4×D59—41no—
520D4×D59—41no—
521D4×D59—41no—
522D4×D59—41no—
523D4×D59—44no—
524#11745685—41no—
525#11745685—41no—
526#11745685—41no—
527#11745685—41no—
528#11745685—42no—
529#11745685—82no—
530C2×D236—22no—
531C2×D236—21no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—41no—
540C2×D236—44no—
541C2×D236C2×D411yescharacteristic
542C2×D236C2411yescharacteristic
543C2×D236C2411yescharacteristic
544C2×D236C2411yescharacteristic
545C2×D236C2411yescharacteristic
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×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—82no—
561C2×C4×D59—82no—
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2×D411yescharacteristic
564C2×C4×D59C2×D411yescharacteristic
565C2×C4×D59C2×D411yescharacteristic
566C2×C4×D59C2411yescharacteristic
567C2×C4×D59C2411yescharacteristic
568C2×Dic118—21no—
569C2×Dic118—21no—
570C2×Dic118—21no—
571C2×Dic118C2×D411yescharacteristic
572C2×Dic118C2411yescharacteristic
573C2×Dic118C2411yescharacteristic
574Q16×C59—41no—
575SD16×C59—41no—
576SD16×C59—41no—
577D8×C59—41no—
578M16×C59—41no—
579M16×C59—41no—
580C2×C8×C59C2411yescharacteristic
581C2×C8×C59C2411yescharacteristic
582C2×C8×C59C2411yescharacteristic
583C2×C8×C59C2411yescharacteristic
584C4⋊C4×C59—21no—
585C4⋊C4×C59—21no—
586C4⋊C4×C59—21no—
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59C2411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C42×C59—21no—
607C42×C59—21no—
608C42×C59C2×D411yescharacteristic
609C42×C59C2×D411yescharacteristic
610C42×C59C2411yescharacteristic
611C42×C59C2411yescharacteristic
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59C2×D411yescharacteristic
619C22⋊Dic59C2×D411yescharacteristic
620#11745672—41no—
621#11745672—41no—
622#11745671—22no—
623#11745671—41no—
624#11745671—41no—
625#11745671—41no—
626#11745670—41no—
627#11745670—41no—
628#11745669—22no—
629#11745669—41no—
630#11745669—41no—
631#11745669—41no—
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)⋊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)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59—21no—
668C4⋊Dic59—21no—
669C4⋊Dic59C2×D411yescharacteristic
670C4⋊Dic59C2×D411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697D472—22no—
698D472—22no—
699D472—41no—
700D472—41no—
701#11745660—22no—
702#11745660—22no—
703#11745660—41no—
704#11745660—41no—
705#11745659—41no—
706#11745659—41no—
707C8×D59—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59C22×D411yescharacteristic
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—42no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59C22×D411yescharacteristic
729C22×D59C22×D411yescharacteristic
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—42no—
739D4×C59—81no—
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—21no—
748C2×C4×C59—41no—
749C2×C4×C59—41no—
750C2×C4×C59—42no—
751C2×C4×C59—42no—
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C2511yescharacteristic
758C22⋊D59—22no—
759C22⋊D59—41no—
760C22⋊D59—42no—
761C22⋊D59—42no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—81no—
773C2×Dic59—81no—
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780D236—22no—
781D236—21no—
782D236—21no—
783D236—21no—
784D236—21no—
785D236—21no—
786D236—21no—
787D236—21no—
788D236—42no—
789D236—42no—
790D236—42no—
791D236—42no—
792D236—42no—
793D236—42no—
794D236—81no—
795D236—81no—
796D236H(5,𝔽2)12yes—
797C4×D59—22no—
798C4×D59—21no—
799C4×D59—21no—
800C4×D59—21no—
801C4×D59—21no—
802C4×D59—41no—
803C4×D59—41no—
804C4×D59—41no—
805C4×D59—42no—
806C4×D59—42no—
807C4×D59—42no—
808C4×D59—42no—
809C4×D59—81no—
810C4×D59—81no—
811C4×D59—81no—
812C4×D59—81no—
813C4×D59—81no—
814C4×D59—81no—
815C4×D59—81no—
816C4×D59—81no—
817C4×D59—81no—
818C4×D59—81no—
819Dic118—21no—
820Dic118—21no—
821Dic118—21no—
822Dic118—21no—
823Dic118—41no—
824Dic118—81no—
825Dic118—81no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#61971—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—21no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59C23×D411yescharacteristic
846C2×D59—21no—
847C2×D59—21no—
848C2×D59—21no—
849C2×D59—21no—
850C2×D59—22no—
851C2×D59—21no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—84no—
864C2×D59—84no—
865C2×D59—162no—
866C2×D59—162no—
867C2×D59#57512yes—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—21no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59—41no—
879C4×C59C2×H(5,𝔽2)11yescharacteristic
880C4×C59#58511yescharacteristic
881Dic59—21no—
882Dic59—21no—
883Dic59—21no—
884Dic59—21no—
885Dic59—21no—
886Dic59—21no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3514—591no—
892#3481—591no—
893#3403—591no—
894#3401—591no—
895#3376—591no—
896#3370—591no—
897#3326—591no—
898#3322—591no—
899#3320—591no—
900#3318—591no—
901#3316—591no—
902#3314—591no—
903#3275—591no—
904#3273—591no—
905#3266—591no—
906#3265—591no—
907#3264—591no—
908#3264—591no—
909#3256D5911yescharacteristic, complemented
910#3251—591no—
911#3250—591no—
912#3219—591no—
913#3213—591no—
914#3211—591no—
915#3114—591no—
916#3111—591no—
917#3105—591no—
918#3040—591no—
919#3036—591no—
920C2×#463—591no—
921#2989—591no—
922C2×C59—41no—
923C2×C59—81no—
924C2×C59—81no—
925C2×C59#348811yescharacteristic
926C2×C59C2×#57511yescharacteristic
927C2×C59#358511yescharacteristic
928D59—22no—
929D59—41no—
930D59—42no—
931D59—81no—
932D59—81no—
933D59—81no—
934C2×#137—591no—
935C2×AGL(1,ℤ/8)—591no—
936C2×AGL(1,ℤ/8)—591no—
937C2×AGL(1,ℤ/8)—591no—
938C22×SD16—591no—
939C22×D8—591no—
940#559—591no—
941#559—591no—
942#556—591no—
943#555—1181no—
944#554—591no—
945#554—591no—
946#553—591no—
947#553—591no—
948#553—1181no—
949#551—1181no—
950#551—1181no—
951#551—1181no—
952#551—1181no—
953D4×Q8—591no—
954#548—591no—
955#548—591no—
956#546—591no—
957#546—591no—
958#546—591no—
959#546—591no—
960#546—1181no—
961#546—1181no—
962D42—591no—
963D42—591no—
964#542—1181no—
965#538—1181no—
966#538—1181no—
967#532—591no—
968#532—591no—
969#529—591no—
970#529—591no—
971#529—591no—
972#529—1181no—
973#529C2×D5911yescharacteristic, complemented
974#529C2×D5911yescharacteristic, complemented
975C2×#124—591no—
976C2×#124—591no—
977#525—1181no—
978#525—1181no—
979#518—1181no—
980C4×#41—591no—
981C4×#41—591no—
982C2×C4×D4—591no—
983C2×C4×D4—591no—
984C2×C4×D4—1181no—
985#497—591no—
986#496—591no—
987#496—591no—
988#496—591no—
989#495—591no—
990#495—591no—
991#491—591no—
992#490—591no—
993#489—591no—
994#489—591no—
995#488—591no—
996#488—591no—
997#485—591no—
998#484—591no—
999#483—591no—
1000#482—591no—
1001#481—591no—
1002#480—591no—
1003#479—591no—
1004#479C2×D5911yescharacteristic, complemented
1005#479C2×D5911yescharacteristic, complemented
1006#478—591no—
1007#478—591no—
1008#478—591no—
1009#478C2×D5911yescharacteristic, complemented
1010#478C2×D5911yescharacteristic, complemented
1011#475—591no—
1012#474—591no—
1013#470C2×D5911yescharacteristic, complemented
1014#469—591no—
1015#469—591no—
1016#469C2×D5911yescharacteristic
1017#468—591no—
1018#468—591no—
1019#468C2×D5911yescharacteristic, complemented
1020#468C2×D5911yescharacteristic, complemented
1021#467—591no—
1022#466—591no—
1023#465—591no—
1024#465—591no—
1025#464—591no—
1026#464—591no—
1027#464—591no—
1028#464—591no—
1029#464—591no—
1030#464C2×D5911yescharacteristic, complemented
1031#464C2×D5911yescharacteristic, complemented
1032#463—591no—
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463C2×D5911yescharacteristic, complemented
1048#463C2×D5911yescharacteristic, complemented
1049#461—591no—
1050#461—591no—
1051#460—591no—
1052#459—591no—
1053#459—591no—
1054#459—591no—
1055#452—591no—
1056#452—591no—
1057#452—591no—
1058#451—591no—
1059#450—591no—
1060#450—591no—
1061#450—591no—
1062#449—591no—
1063#449—591no—
1064#449—591no—
1065#448—591no—
1066#448—591no—
1067#448—591no—
1068#447—591no—
1069#447—591no—
1070#447—591no—
1071#447—591no—
1072#447—591no—
1073#446—591no—
1074#446—591no—
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#441—591no—
1079#440—591no—
1080#440—591no—
1081#440—591no—
1082#440—591no—
1083C4×SD16—591no—
1084C4×SD16—591no—
1085C4×D8—591no—
1086C4×D8—591no—
1087#436—591no—
1088#436—591no—
1089#435—591no—
1090#435—591no—
1091#435—591no—
1092#435—591no—
1093#432—591no—
1094#432—591no—
1095#431—591no—
1096#423—591no—
1097#423C2×D5911yescharacteristic, complemented
1098C2×C4⋊C8—591no—
1099#419—591no—
1100#418—591no—
1101#417—591no—
1102#417—591no—
1103C2×#103—591no—
1104C2×#102—591no—
1105C59#6197111yescharacteristic, complemented, Sylow
1106C2×#41—591no—
1107C2×#41—591no—
1108C2×#41—591no—
1109C2×#41—591no—
1110C2×#41—1181no—
1111C22×Q8—591no—
1112C22×Q8—591no—
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—1181no—
1118C22×D4—1181no—
1119C23×C4—1181no—
1120C23×C4—1181no—
1121#137—2362no—
1122AGL(1,ℤ/8)—2362no—
1123AGL(1,ℤ/8)—2362no—
1124AGL(1,ℤ/8)—2362no—
1125C2×Q16—591no—
1126C2×Q16—591no—
1127C2×Q16C22×D5911yescharacteristic
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—2362no—
1139C2×SD16C22×D5911yescharacteristic
1140C2×SD16C22×D5911yescharacteristic
1141C2×D8—591no—
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—591no—
1149C2×D8—2362no—
1150C2×D8C22×D5911yescharacteristic
1151C2×M16—591no—
1152C2×M16—591no—
1153C2×M16C22×D5911yescharacteristic
1154C2×M16C22×D5911yescharacteristic
1155C22×C8—591no—
1156C22×C8—591no—
1157C4⋊Q8—591no—
1158C4⋊Q8—591no—
1159C4⋊Q8—1181no—
1160#127—591no—
1161#127—591no—
1162#126—21no—
1163#126—21no—
1164#126—1181no—
1165#126—1181no—
1166#126—1181no—
1167#126—1181no—
1168#126—1181no—
1169#126—1181no—
1170#126—1181no—
1171#125—591no—
1172#125—1181no—
1173#125C22×D5911yescharacteristic
1174#125C22×D5911yescharacteristic
1175#124—591no—
1176#124—591no—
1177#124—591no—
1178#124—591no—
1179#124—591no—
1180#124—591no—
1181#124—591no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124C22×D5911yescharacteristic
1192#124C22×D5911yescharacteristic
1193#123—21no—
1194#123—21no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
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⋊Q8C22×D5911yescharacteristic
1222C22⋊Q8C22×D5911yescharacteristic
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121C22×D5911yescharacteristic
1242#121C22×D5911yescharacteristic
1243#120—1181no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251C4×Q8—591no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8C22×D5911yescharacteristic
1257C4×Q8C22×D5911yescharacteristic
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—591no—
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—591no—
1274C4×D4—591no—
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×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4C22×D5911yescharacteristic
1296C4×D4C22×D5911yescharacteristic
1297#117—21no—
1298#117—21no—
1299#117—591no—
1300#117—591no—
1301#117—591no—
1302#117—591no—
1303#117—1181no—
1304#117—1181no—
1305#117—1181no—
1306#117—1181no—
1307#117—1181no—
1308C2×C4⋊C4—591no—
1309C2×C4⋊C4—591no—
1310C2×C4⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C42—591no—
1322C2×C42—591no—
1323C2×C42—1181no—
1324C2×C42C22×D5911yescharacteristic
1325#107—591no—
1326#107—591no—
1327#107C22×D5911yescharacteristic
1328#107C22×D5911yescharacteristic
1329#106—591no—
1330#106—591no—
1331#106C22×D5911yescharacteristic
1332#106C22×D5911yescharacteristic
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8C22×D5911yescharacteristic
1340C4⋊C8C22×D5911yescharacteristic
1341C4⋊C8C22×D5911yescharacteristic
1342C4⋊C8C22×D5911yescharacteristic
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103C22×D5911yescharacteristic
1354#103C22×D5911yescharacteristic
1355#103C22×D5911yescharacteristic
1356#103C22×D5911yescharacteristic
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102C22×D5911yescharacteristic
1372#102C22×D5911yescharacteristic
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8—591no—
1380C22⋊C8—591no—
1381#97—591no—
1382#97—591no—
1383#97—591no—
1384#97—591no—
1385C4×C8—591no—
1386C4×C8—591no—
1387C24—1181no—
1388C24—1181no—
1389C24—1181no—
1390C24—1181no—
1391#41—1182no—
1392#41—4722no—
1393#41—2361no—
1394#41—2361no—
1395#41—2361no—
1396#41—2361no—
1397#41—2362no—
1398#41—2361no—
1399C2×Q8—591no—
1400C2×Q8—591no—
1401C2×Q8—591no—
1402C2×Q8—1181no—
1403C2×Q8—1181no—
1404C2×Q8—1181no—
1405C2×Q8—2361no—
1406C2×Q8—2361no—
1407C2×Q8—2361no—
1408C2×Q8—2361no—
1409C2×Q8C23×D5911yescharacteristic
1410C2×Q8C23×D5911yescharacteristic
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—591no—
1414C2×D4—591no—
1415C2×D4—591no—
1416C2×D4—591no—
1417C2×D4—591no—
1418C2×D4—591no—
1419C2×D4—591no—
1420C2×D4—1182no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1182no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—2361no—
1439C2×D4—2364no—
1440C2×D4—2361no—
1441C2×D4—2361no—
1442C2×D4—2361no—
1443C2×D4—2361no—
1444C2×D4—2361no—
1445C2×D4—2364no—
1446C2×D4C23×D5911yescharacteristic
1447C2×D4C23×D5911yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—591no—
1451C22×C4—591no—
1452C22×C4—591no—
1453C22×C4—591no—
1454C22×C4—591no—
1455C22×C4—591no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—4722no—
1473C22×C4—4722no—
1474C22×C4D4×D5911yescharacteristic
1475C22×C4D4×D5911yescharacteristic
1476C22×C4C23×D5911yescharacteristic
1477Q16—41no—
1478Q16—2361no—
1479Q16—2361no—
1480SD16—41no—
1481SD16—41no—
1482SD16—1182no—
1483SD16—1182no—
1484SD16—1182no—
1485SD16—2361no—
1486SD16—2361no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492D8—41no—
1493D8—1182no—
1494D8—1182no—
1495D8—1182no—
1496D8—2361no—
1497D8—2361no—
1498D8—2361no—
1499D8—2361no—
1500D8—2361no—
1501M16—41no—
1502M16—41no—
1503M16—2361no—
1504M16—2361no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—591no—
1508C2×C8—591no—
1509C2×C8—2361no—
1510C2×C8—2361no—
1511C2×C8C23×D5911yescharacteristic
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—21no—
1523C4⋊C4—591no—
1524C4⋊C4—591no—
1525C4⋊C4—591no—
1526C4⋊C4—591no—
1527C4⋊C4—591no—
1528C4⋊C4—591no—
1529C4⋊C4—591no—
1530C4⋊C4—591no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4C23×D5911yescharacteristic
1545C4⋊C4C23×D5911yescharacteristic
1546C4⋊C4C23×D5911yescharacteristic
1547C4⋊C4C23×D5911yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—591no—
1559C22⋊C4—591no—
1560C22⋊C4—591no—
1561C22⋊C4—591no—
1562C22⋊C4—591no—
1563C22⋊C4—591no—
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⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C42—21no—
1597C42—21no—
1598C42—591no—
1599C42—591no—
1600C42—591no—
1601C42—591no—
1602C42—591no—
1603C42—591no—
1604C42—1181no—
1605C42—1181no—
1606C42—1181no—
1607C42—1181no—
1608C42D4×D5911yescharacteristic
1609C42D4×D5911yescharacteristic
1610C42C23×D5911yescharacteristic
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—591no—
1615C23—591no—
1616C23—1181no—
1617C23—1181no—
1618C23—1181no—
1619C23—1181no—
1620C23—4721no—
1621C23—4721no—
1622C23—4721no—
1623C23—4721no—
1624C23—4721no—
1625C23—4721no—
1626C23—2362no—
1627C23—2362no—
1628C23—2362no—
1629C23—2362no—
1630C23—2362no—
1631C23—2362no—
1632C23C2×D4×D5911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—1181no—
1638Q8—1181no—
1639Q8—1181no—
1640Q8—1181no—
1641Q8—4721no—
1642Q8—4721no—
1643Q8—4721no—
1644Q8—2361no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—42no—
1650D4—81no—
1651D4—592no—
1652D4—1182no—
1653D4—1182no—
1654D4—1181no—
1655D4—1181no—
1656D4—1181no—
1657D4—1181no—
1658D4—1181no—
1659D4—1181no—
1660D4—1181no—
1661D4—4721no—
1662D4—4721no—
1663D4—4721no—
1664D4—4721no—
1665D4—4721no—
1666D4—4721no—
1667D4—4721no—
1668D4—4721no—
1669D4—2362no—
1670D4—2362no—
1671D4—2362no—
1672D4—2362no—
1673D4—2362no—
1674D4—2362no—
1675D4—2361no—
1676D4—2362no—
1677D4—2362no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—42no—
1689C2×C4—42no—
1690C2×C4—591no—
1691C2×C4—591no—
1692C2×C4—591no—
1693C2×C4—591no—
1694C2×C4—591no—
1695C2×C4—591no—
1696C2×C4—1182no—
1697C2×C4—1181no—
1698C2×C4—1181no—
1699C2×C4—1181no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—4721no—
1706C2×C4—4721no—
1707C2×C4—4721no—
1708C2×C4—4721no—
1709C2×C4—4721no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—4721no—
1716C2×C4—4721no—
1717C2×C4—2361no—
1718C2×C4—2361no—
1719C2×C4—2361no—
1720C2×C4—2362no—
1721C2×C4—2362no—
1722C2×C4—2362no—
1723C2×C4—2362no—
1724C2×C4C2×D4×D5911yescharacteristic
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C2×D4×D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—592no—
1748C22—1181no—
1749C22—1181no—
1750C22—1181no—
1751C22—1182no—
1752C22—1181no—
1753C22—1181no—
1754C22—9442no—
1755C22—9442no—
1756C22—4724no—
1757C22—4724no—
1758C22—2361no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22—2361no—
1769C22C22×D4×D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—1181no—
1782C4—1181no—
1783C4—1181no—
1784C4—1181no—
1785C4—1181no—
1786C4—1181no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4H(5,𝔽2)×D5911yescharacteristic
1792C4#1683823911yescharacteristic
1793C2—41no—
1794C2—81no—
1795C2—81no—
1796C2—1182no—
1797C2—4721no—
1798C2—4721no—
1799C2—4721no—
1800C2—2361no—
1801C2—2362no—
1802C2#2143776011yescharacteristic
1803C2#575×D5911yescharacteristic
1804C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3256C2
socleC22×C59C23×D4
hypercenter#3256D59
hypocenterC59#61971
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3256

Complements

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

NH ≅ G/Ntype
1. #21438059C2semidirect
2. #21437702C2semidirect
3. #21437183C2semidirect
4. #21437159C2semidirect
5. #21436926C2semidirect
6. #21436852C2semidirect
7. #21436344C2semidirect
8. #21436292C2semidirect
9. #21436264C2semidirect
10. #21436234C2semidirect
11. #21436202C2semidirect
12. #21436172C2semidirect
13. #21435724C2semidirect
14. #21435704C2semidirect
15. #21435601C2semidirect
16. #21435598C2semidirect
17. #21435583C2semidirect
18. #21435582C2semidirect
19. #21435457C2semidirect
20. #21435450C2semidirect
21. #21435129C2semidirect
22. #21435081C2semidirect
23. #21435065C2semidirect
24. #21434230C2semidirect
25. #21434212C2semidirect
26. #21434148C2semidirect
27. #21433587C2semidirect
28. #21433562C2semidirect
29. #463×D59C2semidirect
30. #21433210C2semidirect
31. C59×#3256C2semidirect
32. C2×#14273759C22semidirect
33. C2×#14273755C22semidirect
34. C2×#14273755C22semidirect
36. C2×SD16×D59C22semidirect
38. #16838137C22semidirect
39. #16838134C22semidirect
40. #16838122C22semidirect
42. #16838110C22semidirect
43. #16838108C22semidirect
45. #16838104C22semidirect
51. Q8×D236C22semidirect
53. #16838062C22semidirect
55. #16838049C22semidirect
59. #16838043C22semidirect
60. D4×D236C22semidirect
61. #16838036C22semidirect
65. #16837952C22semidirect
66. #16837949C22semidirect
67. #16837939C22semidirect
68. #16837937C22semidirect
69. #16837937C22semidirect
71. #124×D59C22semidirect
72. #124×D59C22semidirect
76. C4×#11745689C22semidirect
78. C2×C4×D236C22semidirect
80. C4×D4×D59C22semidirect
81. #16837797C22semidirect
82. #16837792C22semidirect
84. #16837788C22semidirect
85. #16837787C22semidirect
86. #16837783C22semidirect
87. #16837772C22semidirect
88. #16837768C22semidirect
89. #16837763C22semidirect
90. #16837760C22semidirect
91. #16837758C22semidirect
92. #16837755C22semidirect
93. #16837746C22semidirect
94. #16837739C22semidirect
95. #16837730C22semidirect
96. #16837729C22semidirect
97. #16837722C22semidirect
98. #16837713C22semidirect
99. #16837708C22semidirect
100. #16837701C22semidirect
101. #16837699C22semidirect
102. #16837699C22semidirect
103. #16837686C22semidirect
104. #16837681C22semidirect
105. #16837656C22semidirect
106. #16837654C22semidirect
107. #16837649C22semidirect
108. #16837647C22semidirect
109. #16837642C22semidirect
111. #16837634C22semidirect
112. #16837632C22semidirect
113. #16837627C22semidirect
114. #16837626C22semidirect
115. #16837624C22semidirect
116. #16837624C22semidirect
117. #16837622C22semidirect
118. #16837620C22semidirect
119. #16837620C22semidirect
120. #16837620C22semidirect
121. #16837619C22semidirect
122. #16837618C22semidirect
123. #16837618C22semidirect
124. #16837618C22semidirect
125. #16837618C22semidirect
126. #16837617C22semidirect
127. #16837617C22semidirect
130. #16837615C22semidirect
132. #16837614C22semidirect
133. #16837608C22semidirect
134. #16837608C22semidirect
135. #16837601C22semidirect
137. #16837598C22semidirect
138. #16837596C22semidirect
139. #16837567C22semidirect
140. #16837562C22semidirect
141. #16837562C22semidirect
142. #16837556C22semidirect
143. #16837554C22semidirect
144. #16837552C22semidirect
145. #16837551C22semidirect
147. #16837545C22semidirect
148. #16837545C22semidirect
149. #16837542C22semidirect
150. #16837542C22semidirect
151. #16837539C22semidirect
154. #16837537C22semidirect
156. #16837534C22semidirect
157. #16837531C22semidirect
158. #16837531C22semidirect
159. #16837513C22semidirect
161. #16837512C22semidirect
162. #16837506C22semidirect
163. #16837505C22semidirect
164. #16837501C22semidirect
165. #16837500C22semidirect
166. #16837500C22semidirect
167. #16837493C22semidirect
168. #16837489C22semidirect
169. #16837484C22semidirect
170. #16837482C22semidirect
171. #16837478C22semidirect
172. #16837478C22semidirect
173. #16837472C22semidirect
174. #16837472C22semidirect
175. #16837471C22semidirect
176. #16837471C22semidirect
177. #16837459C22semidirect
178. #16837458C22semidirect
179. #16837454C22semidirect
180. #16837424C22semidirect
181. C4⋊C8×D59C22semidirect
182. #16837409C22semidirect
183. #16837405C22semidirect
184. #16837404C22semidirect
185. #16837404C22semidirect
186. #103×D59C22semidirect
187. #102×D59C22semidirect
188. C59×#529C22semidirect
189. C59×#529C22semidirect
190. C59×#479C22semidirect
191. C59×#479C22semidirect
192. C59×#478C22semidirect
193. C59×#478C22semidirect
194. C59×#470C22semidirect
196. C59×#468C22semidirect
197. C59×#468C22semidirect
198. C59×#464C22semidirect
199. C59×#464C22semidirect
200. C59×#463C22semidirect
201. C59×#463C22semidirect
202. C59×#423C22semidirect
909. #3256D59semidirect
973. #529C2×D59semidirect
974. #529C2×D59semidirect
1004. #479C2×D59semidirect
1005. #479C2×D59semidirect
1009. #478C2×D59semidirect
1010. #478C2×D59semidirect
1013. #470C2×D59semidirect
1019. #468C2×D59semidirect
1020. #468C2×D59semidirect
1030. #464C2×D59semidirect
1031. #464C2×D59semidirect
1047. #463C2×D59semidirect
1048. #463C2×D59semidirect
1097. #423C2×D59semidirect
1105. C59#61971semidirect

Maximal subgroups

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

subgroupindex
#214380592
#214377022
#214371832
#214371592
#214369262
#214368522
#214363442
#214362922
#214362642
#214362342
#214362022
#214361722
#214357242
#214357042
#214356012
#214355982
#214355832
#214355822
#214354572
#214354502
#214351292
#214350812
#214350652
#214342302
#214342122
#214341482
#214335872
#214335622
#463×D592
#214332102
C59×#32562
#6197159