Finite Group Databasebeta

← #29484074

Subgroups — #29484074

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#21438667C211yesmaximal, characteristic, complemented
2#21438047C211yesmaximal, characteristic, complemented
3#21437167C211yesmaximal, characteristic, complemented
4#21437158C211yesmaximal, characteristic, complemented
5#21436815C211yesmaximal, characteristic, complemented
6#21436812C211yesmaximal, characteristic, complemented
7#21436392C211yesmaximal, characteristic, complemented
8#21436388C211yesmaximal, characteristic, complemented
9#21436257C211yesmaximal, characteristic, complemented
10#21436250C211yesmaximal, characteristic, complemented
11#21436165C211yesmaximal, characteristic, complemented
12#21436160C211yesmaximal, characteristic, complemented
13#21435707C211yesmaximal, characteristic, complemented
14#21435706C211yesmaximal, characteristic, complemented
15#21435610C211yesmaximal, characteristic, complemented
16#21435608C211yesmaximal, characteristic, complemented
17#21435595C211yesmaximal, characteristic, complemented
18#21435589C211yesmaximal, characteristic, complemented
19#21435556C211yesmaximal, characteristic, complemented
20#21435552C211yesmaximal, characteristic, complemented
21#21435485C211yesmaximal, characteristic, complemented
22#21435207C211yesmaximal, characteristic, complemented
23#21435202C211yesmaximal, characteristic, complemented
24#21435081C211yesmaximal, characteristic, complemented
25#21434285C211yesmaximal, characteristic, complemented
26#21434260C211yesmaximal, characteristic, complemented
27#21433608C211yesmaximal, characteristic, complemented
28#21433606C211yesmaximal, characteristic, complemented
29#21433585C211yesmaximal, characteristic, complemented
30#21433261C211yesmaximal, characteristic, complemented
31C59×#3118C211yesmaximal, characteristic, complemented
32C2×#14273756C2211yescharacteristic
33C2×#14273753C2211yescharacteristic
34C2×#14273751C2211yescharacteristic
35C2×#14273751C2211yescharacteristic
36C22×#11745670C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38#16838154—21no—
39#16838149—21no—
40#16838135C2211yescharacteristic, complemented
41#16838124C2211yescharacteristic, complemented
42#16838122C2211yescharacteristic, complemented
43#16838120C2211yescharacteristic, complemented
44#16838117C2211yescharacteristic
45#16838115C2211yescharacteristic
46#16838081—21no—
47#16838078—21no—
48#16838077—21no—
49#16838075—21no—
50Q8×D236C2211yescharacteristic, complemented
51D4×Dic118C2211yescharacteristic, complemented
52#16838065C2211yescharacteristic, complemented
53#16838062C2211yescharacteristic
54#16838061—21no—
55#16838058C2211yescharacteristic
56#16838049C2211yescharacteristic, complemented
57#16838047C2211yescharacteristic
58#16838047C2211yescharacteristic, complemented
59#16838046C2211yescharacteristic
60#16838042—21no—
61D4×C22⋊D59C2211yescharacteristic, complemented
62#16838027—21no—
63#16838026C2211yescharacteristic, complemented
64#16838025—21no—
65#16838023C2211yescharacteristic, complemented
66#16838021—21no—
67#16838017C2211yescharacteristic, complemented
68#16837990—21no—
69#16837986—21no—
70#16837985—21no—
71#16837978C2211yescharacteristic, complemented
72#16837972C2211yescharacteristic, complemented
73#16837957C2211yescharacteristic, complemented
74#16837949C2211yescharacteristic
75#16837932—21no—
76#16837930C2211yescharacteristic
77C2×#14273713—21no—
78#124×D59C2211yescharacteristic, complemented
79#16837874C2211yescharacteristic, complemented
80C4×#11745687C2211yescharacteristic
81#16837796C2211yescharacteristic, complemented
82#16837793C2211yescharacteristic, complemented
83#16837790C2211yescharacteristic
84#16837788C2211yescharacteristic
85#16837786C2211yescharacteristic, complemented
86#16837785C2211yescharacteristic, complemented
87#16837763C2211yescharacteristic, complemented
88#16837762C2211yescharacteristic, complemented
89#16837760C2211yescharacteristic, complemented
90#16837760C2211yescharacteristic, complemented
91#16837753C2211yescharacteristic, complemented
92#16837751C2211yescharacteristic, complemented
93#16837746C2211yescharacteristic, complemented
94#16837746C2211yescharacteristic, complemented
95#16837746C2211yescharacteristic, complemented
96#16837728C2211yescharacteristic, complemented
97#16837697C2211yescharacteristic, complemented
98#16837696C2211yescharacteristic, complemented
99#16837696C2211yescharacteristic, complemented
100#16837696C2211yescharacteristic, complemented
101#16837694C2211yescharacteristic, complemented
102#16837682C2211yescharacteristic, complemented
103#16837681C2211yescharacteristic, complemented
104#16837679C2211yescharacteristic, complemented
105#16837650C2211yescharacteristic, complemented
106#16837649C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837647C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837647C2211yescharacteristic, complemented
112#16837646C2211yescharacteristic, complemented
113#16837644C2211yescharacteristic, complemented
114#16837641C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic
116#16837636C2211yescharacteristic
117#16837627C2211yescharacteristic, complemented
118#16837625C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837623C2211yescharacteristic, complemented
121#16837623C2211yescharacteristic, complemented
122#16837621C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic
124#16837618C2211yescharacteristic, complemented
125#16837617C2211yescharacteristic
126#16837617C2211yescharacteristic
127#16837617C2211yescharacteristic, complemented
128#16837617C2211yescharacteristic, complemented
129#16837617C2211yescharacteristic, complemented
130#16837616C2211yescharacteristic, complemented
131#16837616C2211yescharacteristic, complemented
132#16837615C2211yescharacteristic
133#16837615C2211yescharacteristic
134#16837614C2211yescharacteristic, complemented
135#16837613C2211yescharacteristic, complemented
136#16837608C2211yescharacteristic, complemented
137#16837607C2211yescharacteristic, complemented
138#16837607C2211yescharacteristic, complemented
139#16837607C2211yescharacteristic, complemented
140#16837607C2211yescharacteristic, complemented
141#16837606C2211yescharacteristic, complemented
142#16837605C2211yescharacteristic, complemented
143#16837601C2211yescharacteristic, complemented
144#16837601C2211yescharacteristic, complemented
145#16837566C2211yescharacteristic, complemented
146#16837565C2211yescharacteristic
147#16837565C2211yescharacteristic
148#16837565C2211yescharacteristic, complemented
149#16837560C2211yescharacteristic, complemented
150#16837559C2211yescharacteristic, complemented
151#16837554C2211yescharacteristic, complemented
152#16837549C2211yescharacteristic
153#16837544C2211yescharacteristic
154#16837543C2211yescharacteristic, complemented
155#16837542C2211yescharacteristic, complemented
156#16837539C2211yescharacteristic, complemented
157#16837539C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic
159#16837537C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837532C2211yescharacteristic, complemented
162#16837530C2211yescharacteristic, complemented
163#16837513C2211yescharacteristic, complemented
164#16837508C2211yescharacteristic, complemented
165#16837508C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic, complemented
167#16837499C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169#16837489C2211yescharacteristic, complemented
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#16837410C2211yescharacteristic, complemented
183#16837409C2211yescharacteristic, complemented
184#16837409C2211yescharacteristic, complemented
185#16837405C2211yescharacteristic, complemented
186#16837396C2211yescharacteristic, complemented
187#16837395C2211yescharacteristic, complemented
188C59×#542C2211yescharacteristic, complemented
189C59×#518C2211yescharacteristic, complemented
190C59×#485C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#476C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic
195C59×#463C2211yescharacteristic, complemented
196C59×#450C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic
198C59×#442C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C4×SD16×C59C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic
202C59×#433C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C2×#11745687C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C22×Dic118—21no—
208C22×Dic118C2311yescharacteristic
209C2×Q8×D59C2311yescharacteristic
210C2×Q8×D59C2311yescharacteristic
211C22×C22⋊D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214#14273756—42no—
215#14273753—42no—
216#14273751—42no—
217#14273751—42no—
218C2×Dic236C2311yescharacteristic
219C2×Dic236C2311yescharacteristic
220C2×Dic236C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745670—42no—
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235SD16×D59—42no—
236C2×D472C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245C2×C8×D59C2311yescharacteristic
246#14273727—21no—
247#14273727C2311yescharacteristic
248#14273727C2311yescharacteristic
249#14273727C2311yescharacteristic
250#14273726—21no—
251#14273726C2311yescharacteristic
252#14273726C2311yescharacteristic
253#14273725C2311yescharacteristic
254#14273723C2311yescharacteristic
255#14273722—21no—
256#14273722—21no—
257#14273722—21no—
258#14273722D411yescharacteristic
259#14273721—21no—
260#14273721—21no—
261#14273720—21no—
262#14273720—21no—
263#14273720—21no—
264#14273720—21no—
265#14273720D411yescharacteristic
266#14273718—21no—
267#14273717D411yescharacteristic
268#14273716—21no—
269#14273716C2311yescharacteristic
270#14273715—21no—
271#14273715C2311yescharacteristic
272#14273715C2311yescharacteristic
273#14273715C2311yescharacteristic
274#14273714C2311yescharacteristic
275#14273714C2311yescharacteristic
276#14273714C2311yescharacteristic
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713—21no—
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273713—21no—
289#14273713D411yescharacteristic
290#14273712—21no—
291#14273712D411yescharacteristic
292#14273711—21no—
293#14273711—21no—
294#14273711—21no—
295#14273711—21no—
296#14273710—21no—
297#14273710—21no—
298#14273709—21no—
299#14273709—21no—
300#14273709—21no—
301#14273709—21no—
302#14273709—21no—
303#14273709D411yescharacteristic
304#14273708—21no—
305#14273707—21no—
306#14273707—21no—
307#14273707—21no—
308#14273707—21no—
309#14273707C2311yescharacteristic
310#14273707C2311yescharacteristic
311#14273707C2311yescharacteristic
312#14273707C2311yescharacteristic
313#14273706—21no—
314#14273706—21no—
315#14273706—21no—
316#14273706C2311yescharacteristic
317#14273705—21no—
318#14273705—21no—
319#14273705—21no—
320#14273705—21no—
321#14273705D411yescharacteristic
322#14273704—21no—
323#14273704—21no—
324#14273704—21no—
325#14273704—21no—
326#14273704—21no—
327#14273704—21no—
328#14273703—21no—
329#14273703—21no—
330#14273702C2311yescharacteristic
331#14273702C2311yescharacteristic
332#14273701—21no—
333#14273701—21no—
334#14273701—21no—
335#14273701C2311yescharacteristic
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700D411yescharacteristic
340#14273699—21no—
341#14273699—21no—
342#14273699—21no—
343#14273698—21no—
344#14273698C2311yescharacteristic
345#14273698C2311yescharacteristic
346#14273697—21no—
347#14273697—21no—
348#14273696—21no—
349#14273696—21no—
350#14273695—21no—
351#14273695—21no—
352Q8×Dic59—21no—
353C4×Dic118—21no—
354C4×Dic118C2311yescharacteristic
355C4×Dic118C2311yescharacteristic
356#14273692C2311yescharacteristic
357#14273692C2311yescharacteristic
358#14273692C2311yescharacteristic
359#14273692C2311yescharacteristic
360C4×D236—21no—
361C4×D236C2311yescharacteristic
362C4×D236C2311yescharacteristic
363D4×Dic59—21no—
364D4×Dic59C2311yescharacteristic
365D4×Dic59C2311yescharacteristic
366#14273689—21no—
367#14273689C2311yescharacteristic
368#14273689C2311yescharacteristic
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59C2311yescharacteristic
374C4×C22⋊D59C2311yescharacteristic
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378#14273686—21no—
379#14273686—21no—
380#14273685—21no—
381#14273685C2311yescharacteristic
382#14273685C2311yescharacteristic
383#14273684—21no—
384#14273684—21no—
385#14273684C2311yescharacteristic
386#14273683—21no—
387C2×C22⋊Dic59—21no—
388C2×(C2×D59)⋊C4—21no—
389C2×(C2×D59)⋊C4—21no—
390C2×(C2×D59)⋊C4—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C2×C4×Dic59—21no—
396C42×D59C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273660C2311yescharacteristic
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#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273650C2311yescharacteristic
424#14273650C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
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
441C22×D4×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C4⋊Q8×C59C2311yescharacteristic
447#126×C59—21no—
448#124×C59—21no—
449#124×C59C2311yescharacteristic
450#123×C59—21no—
451C22⋊Q8×C59—21no—
452C22⋊Q8×C59C2311yescharacteristic
453#121×C59C2311yescharacteristic
454C4×Q8×C59C2311yescharacteristic
455C4×D4×C59—21no—
456C4×D4×C59—21no—
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462#117×C59C2311yescharacteristic
463#117×C59C2311yescharacteristic
464C2×C22⋊C4×C59—21no—
465C2×C22⋊C4×C59—21no—
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C2×Q8×C59—21no—
488C2×Q8×C59C2411yescharacteristic
489C2×D4×C59—22no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—41no—
493C2×D4×C59C2411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59C2411yescharacteristic
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
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⋊D59—82no—
513C2×C22⋊D59C2×D411yescharacteristic
514C2×C22⋊D59C2×D411yescharacteristic
515C22×Dic59—21no—
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520Q8×D59—41no—
521Q8×D59—41no—
522Q8×D59—41no—
523Q8×D59—41no—
524#11745687—22no—
525#11745687—41no—
526#11745687—41no—
527#11745687—41no—
528D4×D59—22no—
529D4×D59—41no—
530D4×D59—41no—
531D4×D59—41no—
532#11745685—41no—
533#11745685—41no—
534#11745685—82no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236C2×D411yescharacteristic
538C2×D236C2411yescharacteristic
539C2×D236C2411yescharacteristic
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59C2×D411yescharacteristic
547C2×C4×D59C2×D411yescharacteristic
548C2×C4×D59C2411yescharacteristic
549C2×C4×D59C2411yescharacteristic
550C2×Dic118—21no—
551C2×Dic118—21no—
552C2×Dic118—21no—
553C2×Dic118—21no—
554C2×Dic118—21no—
555C2×Dic118—21no—
556C2×Dic118—41no—
557C2×Dic118—41no—
558C2×Dic118—82no—
559C2×Dic118C2×D411yescharacteristic
560C2×Dic118C2411yescharacteristic
561C2×Dic118C2411yescharacteristic
562C2×Dic118C2411yescharacteristic
563C2×Dic118C2411yescharacteristic
564SD16×C59—22no—
565SD16×C59—41no—
566D8×C59—22no—
567D8×C59—41no—
568C2×C8×C59C2411yescharacteristic
569C2×C8×C59C2411yescharacteristic
570C2×C8×C59C2411yescharacteristic
571C2×C8×C59C2411yescharacteristic
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59C2×D411yescharacteristic
576C4⋊C4×C59C2×D411yescharacteristic
577C4⋊C4×C59C2411yescharacteristic
578C4⋊C4×C59C2411yescharacteristic
579C4⋊C4×C59C2411yescharacteristic
580C4⋊C4×C59C2411yescharacteristic
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59C2×D411yescharacteristic
592C22⋊C4×C59C2×D411yescharacteristic
593C42×C59—21no—
594C42×C59—21no—
595C42×C59C2411yescharacteristic
596C42×C59C2411yescharacteristic
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59C2×D411yescharacteristic
609C22⋊Dic59C2×D411yescharacteristic
610#11745672—41no—
611#11745671—41no—
612#11745670—22no—
613#11745670—22no—
614#11745670—22no—
615#11745670—41no—
616#11745670—41no—
617#11745670—41no—
618#11745670—41no—
619#11745669—22no—
620#11745669—41no—
621#11745669—41no—
622(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
643(C2×D59)⋊C4C2×D411yescharacteristic
644(C2×D59)⋊C4C2×D411yescharacteristic
645(C2×D59)⋊C4C2×D411yescharacteristic
646(C2×D59)⋊C4C2×D411yescharacteristic
647(C2×D59)⋊C4C2×D411yescharacteristic
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59C2×D411yescharacteristic
658C4⋊Dic59C2×D411yescharacteristic
659C4⋊Dic59C2411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4C2×D411yescharacteristic
672Dic59⋊C4C2×D411yescharacteristic
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2411yescharacteristic
687C4×Dic59C2411yescharacteristic
688#11745664—41no—
689C2×C59⋊C8—41no—
690C2×C59⋊C8C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694Dic236—41no—
695Dic236—41no—
696Dic236—41no—
697D472—41no—
698#11745660—41no—
699#11745660—41no—
700#11745660—41no—
701#11745660—41no—
702#11745659—41no—
703#11745659—41no—
704#11745659—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—42no—
710C23×C59—81no—
711C23×C59—81no—
712C23×C59C22×D411yescharacteristic
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—42no—
716C22×D59—42no—
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—81no—
726D4×C59—21no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—42no—
732D4×C59—81no—
733D4×C59H(5,𝔽2)12yes—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—81no—
742C2×C4×C59—81no—
743C2×C4×C59—81no—
744C2×C4×C59—81no—
745C2×C4×C59—81no—
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C2511yescharacteristic
752C22⋊D59—41no—
753C22⋊D59—41no—
754C22⋊D59—42no—
755C22⋊D59—42no—
756C22⋊D59—42no—
757C22⋊D59—81no—
758C22⋊D59—81no—
759C22⋊D59—81no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—42no—
771C2×Dic59—42no—
772C2×Dic59—81no—
773C2×Dic59—81no—
774C2×Dic59—81no—
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781D236—21no—
782D236—21no—
783D236—21no—
784D236—21no—
785D236—41no—
786D236—81no—
787D236—81no—
788C4×D59—21no—
789C4×D59—21no—
790C4×D59—21no—
791C4×D59—21no—
792C4×D59—41no—
793C4×D59—41no—
794C4×D59—81no—
795C4×D59—81no—
796C4×D59—81no—
797C4×D59—81no—
798C4×D59—81no—
799C4×D59—81no—
800Dic118—21no—
801Dic118—21no—
802Dic118—21no—
803Dic118—21no—
804Dic118—21no—
805Dic118—21no—
806Dic118—21no—
807Dic118—21no—
808Dic118—41no—
809Dic118—42no—
810Dic118—81no—
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—22no—
827C22×C59—21no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—162no—
837C22×C59C23×D411yescharacteristic
838C2×D59—21no—
839C2×D59—21no—
840C2×D59—21no—
841C2×D59—21no—
842C2×D59—21no—
843C2×D59—21no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
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×C59C2×H(5,𝔽2)11yescharacteristic
863C4×C59#58511yescharacteristic
864Dic59—21no—
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—41no—
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#3225—591no—
899#3213—591no—
900#3118—591no—
901#3118D5911yescharacteristic, complemented
902#3116—591no—
903#3042—591no—
904#3042—591no—
905#3040—591no—
906#2995—591no—
907C2×C59—42no—
908C2×C59—41no—
909C2×C59—81no—
910C2×C59—81no—
911C2×C59#348811yescharacteristic
912C2×C59#358511yescharacteristic
913C2×C59#358611yescharacteristic
914D59—41no—
915D59—41no—
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#536—591no—
960#533—591no—
961#532—591no—
962#529—591no—
963#529—1181no—
964C2×#124—591no—
965C2×#124—1181no—
966#518—591no—
967#518C2×D5911yescharacteristic, complemented
968C4×#41—591no—
969#497—591no—
970#497—591no—
971#496—591no—
972#496—591no—
973#495—591no—
974#495—591no—
975#489—591no—
976#489—591no—
977#489—591no—
978#489—591no—
979#487—591no—
980#487—591no—
981#485—591no—
982#485—591no—
983#485—591no—
984#485C2×D5911yescharacteristic, complemented
985#482—591no—
986#482C2×D5911yescharacteristic, complemented
987#477—591no—
988#477—591no—
989#477—591no—
990#477—591no—
991#477—591no—
992#476C2×D5911yescharacteristic, complemented
993#474—591no—
994#474—591no—
995#474—591no—
996#474C2×D5911yescharacteristic, complemented
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#464—591no—
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#463C2×D5911yescharacteristic
1028#463C2×D5911yescharacteristic, complemented
1029#462—591no—
1030#461—591no—
1031#461—591no—
1032#461—591no—
1033#461—591no—
1034#461—591no—
1035#461—591no—
1036#461—591no—
1037#460—591no—
1038#460—591no—
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#452—591no—
1043#451—591no—
1044#451—591no—
1045#450—591no—
1046#450C2×D5911yescharacteristic, complemented
1047#449—591no—
1048#449—591no—
1049#448—591no—
1050#448—591no—
1051#448—591no—
1052#448—591no—
1053#447—591no—
1054#447—591no—
1055#447—591no—
1056#447C2×D5911yescharacteristic
1057#446—591no—
1058#446—591no—
1059#442—591no—
1060#442C2×D5911yescharacteristic, complemented
1061#441—591no—
1062#441—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440C2×D5911yescharacteristic, complemented
1067C4×SD16—591no—
1068C4×SD16C2×D5911yescharacteristic, complemented
1069C4×D8—591no—
1070C4×D8C2×D5911yescharacteristic
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—591no—
1093C2×#41—1181no—
1094C22×Q8—591no—
1095C22×Q8—591no—
1096C22×Q8—591no—
1097C22×Q8—1181no—
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—1181no—
1101C22×D4C22×D5911yescharacteristic
1102#137—2362no—
1103AGL(1,ℤ/8)—2362no—
1104AGL(1,ℤ/8)—2362no—
1105AGL(1,ℤ/8)—2362no—
1106C2×Q16—591no—
1107C2×Q16—591no—
1108C2×Q16—591no—
1109C2×Q16—591no—
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—591no—
1121C2×SD16—591no—
1122C2×SD16—2362no—
1123C2×SD16—2362no—
1124C2×SD16C22×D5911yescharacteristic
1125C2×SD16C22×D5911yescharacteristic
1126C2×D8—591no—
1127C2×D8—591no—
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8C22×D5911yescharacteristic
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—591no—
1143C4⋊Q8—591no—
1144C4⋊Q8—1181no—
1145C4⋊Q8—1181no—
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—591no—
1170#124—591no—
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#124—1181no—
1184#124—1181no—
1185#124C22×D5911yescharacteristic
1186#123—21no—
1187#123—591no—
1188#123—591no—
1189#123—1181no—
1190#123—1181no—
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—591no—
1204C22⋊Q8—591no—
1205C22⋊Q8—591no—
1206C22⋊Q8—591no—
1207C22⋊Q8—591no—
1208C22⋊Q8—591no—
1209C22⋊Q8—1181no—
1210C22⋊Q8—1181no—
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—21no—
1262C4×D4—21no—
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—1181no—
1272C4×D4—1181no—
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×D4C22×D5911yescharacteristic
1282C4×D4C22×D5911yescharacteristic
1283C4×D4C22×D5911yescharacteristic
1284C4×D4C22×D5911yescharacteristic
1285C4×D4C22×D5911yescharacteristic
1286#117—591no—
1287#117—591no—
1288#117—591no—
1289#117—1181no—
1290#117—1181no—
1291#117—1181no—
1292#117—1181no—
1293#117—1181no—
1294#117—1181no—
1295#117C22×D5911yescharacteristic
1296#117C22×D5911yescharacteristic
1297C2×C22⋊C4—21no—
1298C2×C22⋊C4—21no—
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#107C22×D5911yescharacteristic
1314#107C22×D5911yescharacteristic
1315#106C22×D5911yescharacteristic
1316#106C22×D5911yescharacteristic
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#103—591no—
1340#103—591no—
1341#103—591no—
1342#103—591no—
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#102C22×D5911yescharacteristic
1354#102C22×D5911yescharacteristic
1355#102C22×D5911yescharacteristic
1356#102C22×D5911yescharacteristic
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—21no—
1372C24—1181no—
1373C24—1181no—
1374#41—1182no—
1375#41—4722no—
1376#41—2361no—
1377#41—2361no—
1378#41—2361no—
1379#41—2361no—
1380#41—2361no—
1381C2×Q8—21no—
1382C2×Q8—591no—
1383C2×Q8—591no—
1384C2×Q8—591no—
1385C2×Q8—591no—
1386C2×Q8—591no—
1387C2×Q8—1181no—
1388C2×Q8—1181no—
1389C2×Q8—1181no—
1390C2×Q8—1181no—
1391C2×Q8—1181no—
1392C2×Q8—1181no—
1393C2×Q8—4722no—
1394C2×Q8—2361no—
1395C2×Q8—2361no—
1396C2×Q8—2361no—
1397C2×Q8—2361no—
1398C2×Q8—2361no—
1399C2×Q8—2361no—
1400C2×Q8C23×D5911yescharacteristic
1401C2×D4—22no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—41no—
1405C2×D4—591no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—591no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1182no—
1417C2×D4—1181no—
1418C2×D4—1181no—
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×D4C23×D5911yescharacteristic
1428C2×D4C23×D5911yescharacteristic
1429C2×D4C23×D5911yescharacteristic
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—591no—
1436C22×C4—591no—
1437C22×C4—591no—
1438C22×C4—591no—
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—2361no—
1452Q16—2361no—
1453Q16—2361no—
1454Q16—2361no—
1455SD16—22no—
1456SD16—41no—
1457SD16—1182no—
1458SD16—1182no—
1459SD16—1182no—
1460SD16—2361no—
1461SD16—2361no—
1462SD16—2361no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469D8—22no—
1470D8—41no—
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—591no—
1493C4⋊C4—591no—
1494C4⋊C4—591no—
1495C4⋊C4—591no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—591no—
1501C4⋊C4—591no—
1502C4⋊C4—1181no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1522C4⋊C4D4×D5911yescharacteristic
1523C4⋊C4C23×D5911yescharacteristic
1524C4⋊C4C23×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—21no—
1537C22⋊C4—591no—
1538C22⋊C4—591no—
1539C22⋊C4—591no—
1540C22⋊C4—591no—
1541C22⋊C4—591no—
1542C22⋊C4—591no—
1543C22⋊C4—591no—
1544C22⋊C4—591no—
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—21no—
1580C42—591no—
1581C42—591no—
1582C42—591no—
1583C42—591no—
1584C42—1181no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42—1181no—
1591C42C23×D5911yescharacteristic
1592C42C23×D5911yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—42no—
1597C23—81no—
1598C23—81no—
1599C23—591no—
1600C23—591no—
1601C23—1181no—
1602C23—1181no—
1603C23—4721no—
1604C23—4721no—
1605C23—4721no—
1606C23—4721no—
1607C23—2362no—
1608C23—2362no—
1609C23C2×D4×D5911yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—81no—
1613Q8—1181no—
1614Q8—1181no—
1615Q8—1181no—
1616Q8—1181no—
1617Q8—1181no—
1618Q8—1181no—
1619Q8—1181no—
1620Q8—1181no—
1621Q8—4721no—
1622Q8—4721no—
1623Q8—4721no—
1624Q8—4721no—
1625Q8—4721no—
1626Q8—2361no—
1627Q8—2362no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—42no—
1634D4—81no—
1635D4—1181no—
1636D4—1181no—
1637D4—1181no—
1638D4—1181no—
1639D4—4721no—
1640D4—4721no—
1641D4—4721no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—2361no—
1649D4—2361no—
1650D4—2361no—
1651D4—2362no—
1652D4—2362no—
1653D4—2362no—
1654D4#1427377312yes—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—591no—
1668C2×C4—591no—
1669C2×C4—591no—
1670C2×C4—591no—
1671C2×C4—591no—
1672C2×C4—591no—
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—1181no—
1682C2×C4—1181no—
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—22no—
1712C22—21no—
1713C22—21no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—162no—
1723C22—1181no—
1724C22—1181no—
1725C22—1181no—
1726C22—1181no—
1727C22—1181no—
1728C22—1181no—
1729C22—9442no—
1730C22—9442no—
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—1181no—
1749C4—1181no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—1181no—
1754C4—2361no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4C2×#1427377311yescharacteristic
1761C4#1683823811yescharacteristic
1762C2—41no—
1763C2—42no—
1764C2—81no—
1765C2—81no—
1766C2—4721no—
1767C2—4721no—
1768C2—2361no—
1769C2—2361no—
1770C2#2143775711yescharacteristic
1771C2#2143887111yescharacteristic
1772C2#2143887811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3118C2
socleC22×C59C23×D4
hypercenter#3118D59
hypocenterC59#62087
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #21438667C2semidirect
2. #21438047C2semidirect
3. #21437167C2semidirect
4. #21437158C2semidirect
5. #21436815C2semidirect
6. #21436812C2semidirect
7. #21436392C2semidirect
8. #21436388C2semidirect
9. #21436257C2semidirect
10. #21436250C2semidirect
11. #21436165C2semidirect
12. #21436160C2semidirect
13. #21435707C2semidirect
14. #21435706C2semidirect
15. #21435610C2semidirect
16. #21435608C2semidirect
17. #21435595C2semidirect
18. #21435589C2semidirect
19. #21435556C2semidirect
20. #21435552C2semidirect
21. #21435485C2semidirect
22. #21435207C2semidirect
23. #21435202C2semidirect
24. #21435081C2semidirect
25. #21434285C2semidirect
26. #21434260C2semidirect
27. #21433608C2semidirect
28. #21433606C2semidirect
29. #21433585C2semidirect
30. #21433261C2semidirect
31. C59×#3118C2semidirect
36. C22×#11745670C22semidirect
37. C2×SD16×D59C22semidirect
40. #16838135C22semidirect
41. #16838124C22semidirect
42. #16838122C22semidirect
43. #16838120C22semidirect
50. Q8×D236C22semidirect
51. D4×Dic118C22semidirect
52. #16838065C22semidirect
56. #16838049C22semidirect
58. #16838047C22semidirect
61. D4×C22⋊D59C22semidirect
63. #16838026C22semidirect
65. #16838023C22semidirect
67. #16838017C22semidirect
71. #16837978C22semidirect
72. #16837972C22semidirect
73. #16837957C22semidirect
78. #124×D59C22semidirect
79. #16837874C22semidirect
81. #16837796C22semidirect
82. #16837793C22semidirect
85. #16837786C22semidirect
86. #16837785C22semidirect
87. #16837763C22semidirect
88. #16837762C22semidirect
89. #16837760C22semidirect
90. #16837760C22semidirect
91. #16837753C22semidirect
92. #16837751C22semidirect
93. #16837746C22semidirect
94. #16837746C22semidirect
95. #16837746C22semidirect
96. #16837728C22semidirect
97. #16837697C22semidirect
98. #16837696C22semidirect
99. #16837696C22semidirect
100. #16837696C22semidirect
101. #16837694C22semidirect
102. #16837682C22semidirect
103. #16837681C22semidirect
104. #16837679C22semidirect
105. #16837650C22semidirect
106. #16837649C22semidirect
107. #16837649C22semidirect
108. #16837649C22semidirect
109. #16837647C22semidirect
110. #16837647C22semidirect
111. #16837647C22semidirect
112. #16837646C22semidirect
113. #16837644C22semidirect
114. #16837641C22semidirect
117. #16837627C22semidirect
118. #16837625C22semidirect
119. #16837624C22semidirect
120. #16837623C22semidirect
121. #16837623C22semidirect
122. #16837621C22semidirect
124. #16837618C22semidirect
127. #16837617C22semidirect
128. #16837617C22semidirect
129. #16837617C22semidirect
130. #16837616C22semidirect
131. #16837616C22semidirect
134. #16837614C22semidirect
135. #16837613C22semidirect
136. #16837608C22semidirect
137. #16837607C22semidirect
138. #16837607C22semidirect
139. #16837607C22semidirect
140. #16837607C22semidirect
141. #16837606C22semidirect
142. #16837605C22semidirect
143. #16837601C22semidirect
144. #16837601C22semidirect
145. #16837566C22semidirect
148. #16837565C22semidirect
149. #16837560C22semidirect
150. #16837559C22semidirect
151. #16837554C22semidirect
154. #16837543C22semidirect
155. #16837542C22semidirect
156. #16837539C22semidirect
157. #16837539C22semidirect
159. #16837537C22semidirect
160. #16837534C22semidirect
161. #16837532C22semidirect
162. #16837530C22semidirect
163. #16837513C22semidirect
164. #16837508C22semidirect
165. #16837508C22semidirect
166. #16837499C22semidirect
167. #16837499C22semidirect
168. #16837499C22semidirect
169. #16837489C22semidirect
171. #16837481C22semidirect
172. #16837477C22semidirect
173. #16837476C22semidirect
174. #16837475C22semidirect
175. #16837470C22semidirect
176. #16837470C22semidirect
177. #16837462C22semidirect
178. #16837458C22semidirect
179. #16837429C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
182. #16837410C22semidirect
183. #16837409C22semidirect
184. #16837409C22semidirect
185. #16837405C22semidirect
186. #16837396C22semidirect
187. #16837395C22semidirect
188. C59×#542C22semidirect
189. C59×#518C22semidirect
190. C59×#485C22semidirect
191. C59×#482C22semidirect
192. C59×#476C22semidirect
193. C59×#474C22semidirect
195. C59×#463C22semidirect
196. C59×#450C22semidirect
198. C59×#442C22semidirect
199. C59×#440C22semidirect
200. C4×SD16×C59C22semidirect
202. C59×#433C22semidirect
901. #3118D59semidirect
954. #542C2×D59semidirect
967. #518C2×D59semidirect
984. #485C2×D59semidirect
986. #482C2×D59semidirect
992. #476C2×D59semidirect
996. #474C2×D59semidirect
1028. #463C2×D59semidirect
1046. #450C2×D59semidirect
1060. #442C2×D59semidirect
1066. #440C2×D59semidirect
1068. C4×SD16C2×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
#214386672
#214380472
#214371672
#214371582
#214368152
#214368122
#214363922
#214363882
#214362572
#214362502
#214361652
#214361602
#214357072
#214357062
#214356102
#214356082
#214355952
#214355892
#214355562
#214355522
#214354852
#214352072
#214352022
#214350812
#214342852
#214342602
#214336082
#214336062
#214335852
#214332612
C59×#31182
#6208759