Finite Group Databasebeta

← #29484098

Subgroups — #29484098

Order 15104.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438605C211yesmaximal, characteristic, complemented
2#21438060C211yesmaximal, characteristic, complemented
3#21437185C211yesmaximal, characteristic, complemented
4#21437183C211yesmaximal, characteristic, complemented
5#21436891C211yesmaximal, characteristic, complemented
6#21436885C211yesmaximal, characteristic, complemented
7#21436336C211yesmaximal, characteristic, complemented
8#21436334C211yesmaximal, characteristic, complemented
9#21436280C211yesmaximal, characteristic, complemented
10#21436278C211yesmaximal, characteristic, complemented
11#21436126C211yesmaximal, characteristic, complemented
12#21435724C211yesmaximal, characteristic, complemented
13#21435720C211yesmaximal, characteristic, complemented
14#21435581C211yesmaximal, characteristic, complemented
15#21435580C211yesmaximal, characteristic, complemented
16#21435577C211yesmaximal, characteristic, complemented
17#21435573C211yesmaximal, characteristic, complemented
18#21435562C211yesmaximal, characteristic, complemented
19#21435560C211yesmaximal, characteristic, complemented
20#21435476C211yesmaximal, characteristic, complemented
21#21435196C211yesmaximal, characteristic, complemented
22#21435194C211yesmaximal, characteristic, complemented
23#21435084C211yesmaximal, characteristic, complemented
24#21434283C211yesmaximal, characteristic, complemented
25#21434275C211yesmaximal, characteristic, complemented
26#21434245C211yesmaximal, characteristic, complemented
27#21433602C211yesmaximal, characteristic, complemented
28#21433598C211yesmaximal, characteristic, complemented
29#21433587C211yesmaximal, characteristic, complemented
30#21433262C211yesmaximal, characteristic, complemented
31C59×#3311C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic, complemented
33C2×#14273755C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic
35C2×#14273752C2211yescharacteristic, complemented
36C22×D472C2211yescharacteristic, complemented
37C22×#11745669C2211yescharacteristic, complemented
38#16838149—21no—
39#16838145—21no—
40#16838137C2211yescharacteristic, complemented
41#16838135C2211yescharacteristic, complemented
42#16838134C2211yescharacteristic, complemented
43#16838115C2211yescharacteristic, complemented
44#16838115C2211yescharacteristic, complemented
45#16838077—21no—
46#16838077—21no—
47#16838067C2211yescharacteristic, complemented
48#16838064—21no—
49#16838062C2211yescharacteristic, complemented
50#16838059C2211yescharacteristic, complemented
51#16838049—21no—
52#16838048C2211yescharacteristic
53#16838045—21no—
54#16838043C2211yescharacteristic, complemented
55#16838043C2211yescharacteristic, complemented
56#16838042—21no—
57D4×D236C2211yescharacteristic, complemented
58#16838036C2211yescharacteristic, complemented
59D4×C22⋊D59C2211yescharacteristic, complemented
60#16838025C2211yescharacteristic, complemented
61#16838025C2211yescharacteristic, complemented
62#16838025C2211yescharacteristic, complemented
63#16838019C2211yescharacteristic, complemented
64#16837991—21no—
65#16837991—21no—
66#16837990—21no—
67#16837988—21no—
68#16837984—21no—
69#16837969C2211yescharacteristic, complemented
70#16837966C2211yescharacteristic, complemented
71#16837962—21no—
72#16837953C2211yescharacteristic, complemented
73#16837949C2211yescharacteristic, complemented
74#16837939—21no—
75#16837934C2211yescharacteristic
76#124×D59—21no—
77#124×D59C2211yescharacteristic, complemented
78#16837876C2211yescharacteristic, complemented
79#16837876C2211yescharacteristic, complemented
80C4×#11745689C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic, complemented
82#16837791C2211yescharacteristic, complemented
83#16837788C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837787C2211yescharacteristic, complemented
86#16837783C2211yescharacteristic, complemented
87#16837764C2211yescharacteristic, complemented
88#16837763C2211yescharacteristic, complemented
89#16837760C2211yescharacteristic, complemented
90#16837747C2211yescharacteristic, complemented
91#16837747C2211yescharacteristic, complemented
92#16837743C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837726C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837691C2211yescharacteristic, complemented
97#16837691C2211yescharacteristic, complemented
98#16837691C2211yescharacteristic, complemented
99#16837690C2211yescharacteristic, complemented
100#16837689C2211yescharacteristic, complemented
101#16837686C2211yescharacteristic, complemented
102#16837685C2211yescharacteristic, complemented
103#16837685C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837658C2211yescharacteristic, complemented
106#16837656C2211yescharacteristic, complemented
107#16837656C2211yescharacteristic, complemented
108#16837655C2211yescharacteristic
109#16837654C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837653C2211yescharacteristic
112#16837633C2211yescharacteristic, complemented
113#16837633C2211yescharacteristic, complemented
114#16837631C2211yescharacteristic, complemented
115#16837627C2211yescharacteristic, complemented
116#16837626C2211yescharacteristic, complemented
117#16837626C2211yescharacteristic, complemented
118#16837624C2211yescharacteristic, complemented
119#16837622C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837620C2211yescharacteristic, complemented
124#16837620C2211yescharacteristic, complemented
125#16837620C2211yescharacteristic, complemented
126#16837619C2211yescharacteristic, complemented
127#16837618C2211yescharacteristic, complemented
128#16837616C2211yescharacteristic, complemented
129#16837616C2211yescharacteristic, complemented
130#16837616C2211yescharacteristic, complemented
131#16837616C2211yescharacteristic, complemented
132#16837616C2211yescharacteristic, complemented
133#16837614C2211yescharacteristic, complemented
134#16837600C2211yescharacteristic, complemented
135#16837598C2211yescharacteristic, complemented
136#16837597C2211yescharacteristic, complemented
137#16837596C2211yescharacteristic
138#16837596C2211yescharacteristic
139#16837596C2211yescharacteristic, complemented
140#16837596C2211yescharacteristic, complemented
141#16837596C2211yescharacteristic, complemented
142#16837596C2211yescharacteristic, complemented
143#16837596C2211yescharacteristic, complemented
144#16837562C2211yescharacteristic, complemented
145#16837555C2211yescharacteristic, complemented
146#16837552C2211yescharacteristic, complemented
147#16837552C2211yescharacteristic, complemented
148#16837550C2211yescharacteristic, complemented
149#16837549C2211yescharacteristic, complemented
150#16837547C2211yescharacteristic, complemented
151#16837546C2211yescharacteristic, complemented
152#16837542C2211yescharacteristic, complemented
153#16837542C2211yescharacteristic, complemented
154#16837538C2211yescharacteristic
155#16837538C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic, complemented
158#16837536C2211yescharacteristic, complemented
159#16837535C2211yescharacteristic
160#16837531C2211yescharacteristic, complemented
161#16837530C2211yescharacteristic, complemented
162#16837515C2211yescharacteristic, complemented
163#16837513C2211yescharacteristic, complemented
164#16837512C2211yescharacteristic, complemented
165#16837511C2211yescharacteristic, complemented
166#16837505C2211yescharacteristic, complemented
167#16837501C2211yescharacteristic, complemented
168#16837500C2211yescharacteristic, complemented
169#16837489C2211yescharacteristic, complemented
170#16837487C2211yescharacteristic, complemented
171#16837484C2211yescharacteristic, complemented
172#16837482C2211yescharacteristic, complemented
173#16837478C2211yescharacteristic, complemented
174#16837477C2211yescharacteristic, complemented
175#16837474C2211yescharacteristic, complemented
176#16837473C2211yescharacteristic, complemented
177#16837470C2211yescharacteristic, complemented
178#16837460C2211yescharacteristic, complemented
179#16837460C2211yescharacteristic, complemented
180#16837457C2211yescharacteristic, complemented
181#16837430C2211yescharacteristic, complemented
182#16837428C2211yescharacteristic, complemented
183#16837424C2211yescharacteristic, complemented
184#16837409C2211yescharacteristic, complemented
185#16837406C2211yescharacteristic, complemented
186#16837405C2211yescharacteristic, complemented
187#16837396C2211yescharacteristic, complemented
188C59×#556C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#476C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685C2311yescharacteristic
207C2×Q8×D59—21no—
208C2×Q8×D59C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C22×D236C2311yescharacteristic
212C22×C22⋊D59—21no—
213C2×D4×D59—21no—
214C2×D4×D59—21no—
215C2×D4×D59C2311yescharacteristic
216#14273759—42no—
217#14273755—42no—
218#14273754—42no—
219#14273752—42no—
220C2×#11745672C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×D472—42no—
230C2×D472C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×D472C2311yescharacteristic
234C2×D472C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×#11745669—42no—
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C22×C59⋊C8C2311yescharacteristic
247#14273726C2311yescharacteristic
248#14273726C2311yescharacteristic
249#14273726C2311yescharacteristic
250#14273724C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273723C2311yescharacteristic
254#14273722—21no—
255#14273722—21no—
256#14273722—21no—
257#14273720—21no—
258#14273720D411yescharacteristic
259#14273720D411yescharacteristic
260#14273718D411yescharacteristic
261#14273716—21no—
262#14273716C2311yescharacteristic
263#14273716C2311yescharacteristic
264#14273716C2311yescharacteristic
265#14273716C2311yescharacteristic
266#14273715—21no—
267#14273715—21no—
268#14273715—21no—
269#14273715C2311yescharacteristic
270#14273714—21no—
271#14273714—21no—
272#14273714D411yescharacteristic
273#14273714C2311yescharacteristic
274#14273714C2311yescharacteristic
275#14273713—21no—
276#14273713—21no—
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#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273712—21no—
291#14273711—21no—
292#14273710—21no—
293#14273709—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709D411yescharacteristic
299#14273709D411yescharacteristic
300#14273708—21no—
301#14273707—21no—
302#14273707—21no—
303#14273707—21no—
304#14273707D411yescharacteristic
305#14273706—21no—
306#14273706C2311yescharacteristic
307#14273705—21no—
308#14273705—21no—
309#14273705—21no—
310#14273704—21no—
311#14273703—21no—
312#14273702—21no—
313#14273702—21no—
314#14273702—21no—
315#14273702—21no—
316#14273702C2311yescharacteristic
317#14273702C2311yescharacteristic
318#14273702C2311yescharacteristic
319#14273701—21no—
320#14273701—21no—
321#14273701C2311yescharacteristic
322#14273701C2311yescharacteristic
323#14273701C2311yescharacteristic
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273700—21no—
330#14273699—21no—
331#14273698—21no—
332#14273698—21no—
333#14273698—21no—
334#14273698D411yescharacteristic
335#14273698C2311yescharacteristic
336#14273697—21no—
337#14273697—21no—
338#14273697—21no—
339#14273697—21no—
340#14273697—21no—
341#14273696—21no—
342#14273696—21no—
343#14273696—21no—
344#14273695—21no—
345#14273695—21no—
346#14273695—21no—
347#14273695—21no—
348#14273695—21no—
349Q8×Dic59C2311yescharacteristic
350Q8×Dic59C2311yescharacteristic
351C4×Dic118C2311yescharacteristic
352#14273692C2311yescharacteristic
353C4×D236—21no—
354C4×D236—21no—
355C4×D236—21no—
356C4×D236—21no—
357C4×D236—21no—
358C4×D236—21no—
359C4×D236C2311yescharacteristic
360C4×D236C2311yescharacteristic
361D4×Dic59C2311yescharacteristic
362#14273689—21no—
363#14273689—21no—
364#14273689—21no—
365#14273689C2311yescharacteristic
366#14273689C2311yescharacteristic
367#14273689C2311yescharacteristic
368#14273689C2311yescharacteristic
369#14273689C2311yescharacteristic
370#14273689C2311yescharacteristic
371#14273689C2311yescharacteristic
372#14273689C2311yescharacteristic
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59—21no—
376C4×C22⋊D59C2311yescharacteristic
377C4×C22⋊D59C2311yescharacteristic
378(C22⋊D59)⋊C4—21no—
379#14273686C2311yescharacteristic
380#14273686C2311yescharacteristic
381#14273685—21no—
382#14273685C2311yescharacteristic
383#14273684—21no—
384#14273684—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—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C42×D59—21no—
395C42×D59C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436#14273638C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C22×D4×C59C2311yescharacteristic
443C2×Q16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×M16×C59C2311yescharacteristic
447C22×C8×C59C2311yescharacteristic
448C4⋊Q8×C59C2311yescharacteristic
449#126×C59—21no—
450#126×C59—21no—
451#124×C59—21no—
452#124×C59C2311yescharacteristic
453#123×C59—21no—
454C22⋊Q8×C59C2311yescharacteristic
455C22⋊Q8×C59C2311yescharacteristic
456C22⋊Q8×C59C2311yescharacteristic
457#121×C59—21no—
458#121×C59C2311yescharacteristic
459#120×C59—21no—
460C4×Q8×C59—21no—
461C4×Q8×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464#117×C59C2311yescharacteristic
465#117×C59C2311yescharacteristic
466C2×C22⋊C4×C59—21no—
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C23×D59—21no—
489#41×C59—41no—
490#41×C59—41no—
491C2×Q8×C59—21no—
492C2×Q8×C59C2411yescharacteristic
493C2×Q8×C59C2411yescharacteristic
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—41no—
498C2×D4×C59—41no—
499C2×D4×C59C2×D411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59C2411yescharacteristic
505C22×C4×C59C2411yescharacteristic
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—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—82no—
519C2×C22⋊D59C2×D411yescharacteristic
520C2×C22⋊D59C2×D411yescharacteristic
521C22×Dic59—21no—
522#11745689—22no—
523#11745689—41no—
524#11745689—82no—
525Q8×D59—41no—
526Q8×D59—41no—
527Q8×D59—82no—
528D4×D59—41no—
529D4×D59—41no—
530D4×D59—82no—
531D4×D59—82no—
532#11745685—41no—
533#11745685—41no—
534#11745685—82no—
535C2×D236—22no—
536C2×D236—22no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—41no—
547C2×D236—41no—
548C2×D236—41no—
549C2×D236—41no—
550C2×D236C2411yescharacteristic
551C2×D236C2411yescharacteristic
552C2×D236C2411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×D236C2411yescharacteristic
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59C2×D411yescharacteristic
569C2×C4×D59C2×D411yescharacteristic
570C2×C4×D59C2411yescharacteristic
571C2×Dic118—21no—
572C2×Dic118—21no—
573C2×Dic118—21no—
574C2×Dic118—21no—
575C2×Dic118C2×D411yescharacteristic
576C2×Dic118C2411yescharacteristic
577Q16×C59—41no—
578SD16×C59—41no—
579SD16×C59—41no—
580M16×C59—41no—
581C2×C8×C59—41no—
582C2×C8×C59C2411yescharacteristic
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C4⋊C4×C59—21no—
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59C2×D411yescharacteristic
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×C59C2×D411yescharacteristic
606C22⋊C4×C59C2×D411yescharacteristic
607C42×C59—21no—
608C42×C59—21no—
609C42×C59—21no—
610C42×C59C2411yescharacteristic
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59C2×D411yescharacteristic
619C22⋊Dic59C2×D411yescharacteristic
620C22⋊Dic59C2×D411yescharacteristic
621C22⋊Dic59C2×D411yescharacteristic
622C22⋊Dic59C2×D411yescharacteristic
623C22⋊Dic59C2×D411yescharacteristic
624#11745672—41no—
625#11745671—22no—
626#11745671—41no—
627#11745671—41no—
628#11745671—41no—
629#11745671—41no—
630#11745669—22no—
631#11745669—22no—
632#11745669—41no—
633#11745669—41no—
634#11745669—41no—
635#11745669—41no—
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)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4C2×D411yescharacteristic
664(C2×D59)⋊C4C2×D411yescharacteristic
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59C2×D411yescharacteristic
668C4⋊Dic59C2×D411yescharacteristic
669C4⋊Dic59C2×D411yescharacteristic
670C4⋊Dic59C2×D411yescharacteristic
671C4⋊Dic59C2×D411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673C4⋊Dic59C2411yescharacteristic
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×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C4×Dic59C2411yescharacteristic
692#11745664—41no—
693C2×C59⋊C8—41no—
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698D472—22no—
699D472—22no—
700D472—41no—
701D472—41no—
702D472—41no—
703D472—41no—
704#11745660—22no—
705#11745660—41no—
706#11745660—41no—
707#11745659—41no—
708#11745659—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—81no—
712C23×C59—81no—
713C23×C59—81no—
714C23×C59C22×D411yescharacteristic
715C23×C59C22×D411yescharacteristic
716C22×D59—21no—
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—21no—
721C22×D59—42no—
722C22×D59—42no—
723C22×D59—42no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59—81no—
731C22×D59—81no—
732C22×D59—81no—
733C22×D59C22×D411yescharacteristic
734Q8×C59—21no—
735Q8×C59—21no—
736Q8×C59—21no—
737Q8×C59—21no—
738Q8×C59—42no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—41no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—81no—
758C2×C4×C59—81no—
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C2511yescharacteristic
764C22⋊D59—41no—
765C22⋊D59—41no—
766C22⋊D59—42no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—81no—
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789D236—21no—
790D236—21no—
791D236—21no—
792D236—21no—
793D236—21no—
794D236—21no—
795D236—21no—
796D236—21no—
797D236—21no—
798D236—42no—
799D236—42no—
800D236—42no—
801D236—42no—
802D236—42no—
803D236—81no—
804D236—81no—
805D236—81no—
806D236—81no—
807D236H(5,𝔽2)12yes—
808C4×D59—21no—
809C4×D59—21no—
810C4×D59—41no—
811C4×D59—41no—
812C4×D59—42no—
813C4×D59—42no—
814C4×D59—81no—
815C4×D59—81no—
816C4×D59—81no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825Dic118—21no—
826Dic118—21no—
827Dic118—41no—
828Dic118—81no—
829Dic118—81no—
830Dic118—81no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62088—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—21no—
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—162no—
854C22×C59C23×D411yescharacteristic
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—21no—
858C2×D59—22no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—162no—
874C2×D59—162no—
875C2×D59—162no—
876C2×D59—162no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59—41no—
887C4×C59C2×H(5,𝔽2)11yescharacteristic
888C4×C59#58511yescharacteristic
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—21no—
895Dic59—21no—
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899#3558—591no—
900#3514—591no—
901#3403—591no—
902#3403—591no—
903#3373—591no—
904#3373—591no—
905#3325—591no—
906#3325—591no—
907#3321—591no—
908#3321—591no—
909#3311—591no—
910#3311D5911yescharacteristic, complemented
911#3275—591no—
912#3275—591no—
913#3264—591no—
914#3264—591no—
915#3264—591no—
916#3264—591no—
917#3263—591no—
918#3263—591no—
919#3253—591no—
920#3224—591no—
921#3224—591no—
922#3213—591no—
923#3118—591no—
924#3118—591no—
925#3115—591no—
926#3041—591no—
927#3041—591no—
928#3040—591no—
929#2995—591no—
930C2×C59—41no—
931C2×C59—41no—
932C2×C59—81no—
933C2×C59—81no—
934C2×C59#348811yescharacteristic
935C2×C59#358511yescharacteristic
936C2×C59#358511yescharacteristic
937D59—41no—
938D59—42no—
939D59—81no—
940D59—81no—
941D59—81no—
942D59—81no—
943C2×#137—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×AGL(1,ℤ/8)—591no—
947C22×D8—591no—
948C22×D8—591no—
949#562—1181no—
950H(3,𝔽4)—1181no—
951#559—591no—
952#559—591no—
953#559—591no—
954#556C2×D5911yescharacteristic, complemented
955#555—591no—
956#555—591no—
957#551—1181no—
958#551—1181no—
959D4×Q8—591no—
960#548—591no—
961#548—591no—
962#548—1181no—
963#546—591no—
964#546—591no—
965#546—591no—
966#546—1181no—
967#546—1181no—
968#546—1181no—
969#546C2×D5911yescharacteristic
970D42—591no—
971D42—591no—
972D42—591no—
973#542—591no—
974#542—591no—
975#542—591no—
976#542—591no—
977#538—1181no—
978#538—1181no—
979#538—1181no—
980#538—1181no—
981#538—1181no—
982#535—591no—
983#535—591no—
984#534—1181no—
985#532—591no—
986#532—591no—
987#529—591no—
988#529—1181no—
989C2×#124—591no—
990C2×#124—1181no—
991#518—591no—
992#518—591no—
993C4×#41—591no—
994#496—591no—
995#496—591no—
996#496—591no—
997#496—591no—
998#495—591no—
999#495—591no—
1000#489—591no—
1001#489—591no—
1002#489—591no—
1003#489C2×D5911yescharacteristic, complemented
1004#486—591no—
1005#486—591no—
1006#485—591no—
1007#485C2×D5911yescharacteristic, complemented
1008#482—591no—
1009#482—591no—
1010#482—591no—
1011#482C2×D5911yescharacteristic, complemented
1012#476—591no—
1013#476—591no—
1014#476—591no—
1015#476—591no—
1016#476—591no—
1017#476C2×D5911yescharacteristic, complemented
1018#475—591no—
1019#475—591no—
1020#475—591no—
1021#474—591no—
1022#470—591no—
1023#470C2×D5911yescharacteristic, complemented
1024#469—591no—
1025#469—591no—
1026#469—591no—
1027#469—591no—
1028#469—591no—
1029#469—591no—
1030#465—591no—
1031#465—591no—
1032#465—591no—
1033#465C2×D5911yescharacteristic, complemented
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464—591no—
1038#464—591no—
1039#464C2×D5911yescharacteristic, complemented
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463—591no—
1048#463—591no—
1049#463—591no—
1050#463—591no—
1051#463—591no—
1052#463—591no—
1053#463—591no—
1054#460—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459—591no—
1063#459—591no—
1064#452—591no—
1065#452C2×D5911yescharacteristic, complemented
1066#450—591no—
1067#450—591no—
1068#450—591no—
1069#450C2×D5911yescharacteristic, complemented
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#448—591no—
1075#448—591no—
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#447—591no—
1082#446—591no—
1083#446—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442—591no—
1088#440—591no—
1089#440—591no—
1090#440—591no—
1091#440C2×D5911yescharacteristic, complemented
1092C4×SD16—591no—
1093C4×SD16—591no—
1094C4×D8—591no—
1095C4×D8—591no—
1096#436—591no—
1097#436—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#435C2×D5911yescharacteristic, complemented
1102#433—591no—
1103#433—591no—
1104#432—591no—
1105#424—591no—
1106#424—591no—
1107#423—591no—
1108#419—591no—
1109#418—591no—
1110#418—591no—
1111#418C2×D5911yescharacteristic, complemented
1112#416—591no—
1113#416C2×D5911yescharacteristic, complemented
1114C59#6208811yescharacteristic, complemented, Sylow
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—1181no—
1118C2×#41—1181no—
1119C2×#41C22×D5911yescharacteristic
1120C22×Q8—591no—
1121C22×Q8—1181no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—591no—
1125C22×D4—591no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C22×D4—1181no—
1129C22×D4C22×D5911yescharacteristic
1130#137—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133AGL(1,ℤ/8)—2362no—
1134C2×Q16—591no—
1135C2×Q16C22×D5911yescharacteristic
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16C22×D5911yescharacteristic
1145C2×SD16C22×D5911yescharacteristic
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—591no—
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—591no—
1158C2×D8—2362no—
1159C2×D8—2362no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C2×M16C22×D5911yescharacteristic
1164C22×C8—591no—
1165C22×C8C22×D5911yescharacteristic
1166C4⋊Q8—591no—
1167C4⋊Q8—591no—
1168C4⋊Q8—591no—
1169C4⋊Q8C22×D5911yescharacteristic
1170#127—591no—
1171#127—591no—
1172#127—591no—
1173#127—591no—
1174#126—21no—
1175#126—21no—
1176#126—591no—
1177#126—591no—
1178#126—1181no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#125—591no—
1183#124—21no—
1184#124—591no—
1185#124—591no—
1186#124—591no—
1187#124—591no—
1188#124—591no—
1189#124—591no—
1190#124—591no—
1191#124—591no—
1192#124—1181no—
1193#124—1181no—
1194#124—1181no—
1195#124—1181no—
1196#124—1181no—
1197#124—1181no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124—1181no—
1204#124—1181no—
1205#124—1181no—
1206#124—1181no—
1207#124—1181no—
1208#124—1181no—
1209#124C22×D5911yescharacteristic
1210#123—21no—
1211#123—591no—
1212#123—591no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224#123—1181no—
1225#123—1181no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236C22⋊Q8—1181no—
1237C22⋊Q8C22×D5911yescharacteristic
1238C22⋊Q8C22×D5911yescharacteristic
1239C22⋊Q8C22×D5911yescharacteristic
1240#121—21no—
1241#121—591no—
1242#121—591no—
1243#121—591no—
1244#121—591no—
1245#121—591no—
1246#121—591no—
1247#121—591no—
1248#121—591no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121C22×D5911yescharacteristic
1266#120—21no—
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280C4×Q8—21no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8C22×D5911yescharacteristic
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4C22×D5911yescharacteristic
1313C4×D4C22×D5911yescharacteristic
1314#117—591no—
1315#117—591no—
1316#117—591no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320#117C22×D5911yescharacteristic
1321#117C22×D5911yescharacteristic
1322C2×C22⋊C4—21no—
1323C2×C22⋊C4—1181no—
1324C2×C22⋊C4—1181no—
1325C2×C22⋊C4—1181no—
1326C2×C22⋊C4—1181no—
1327C2×C22⋊C4—1181no—
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C42—591no—
1333C2×C42—1181no—
1334#107—591no—
1335#107C22×D5911yescharacteristic
1336#106—591no—
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106C22×D5911yescharacteristic
1341#106C22×D5911yescharacteristic
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8—591no—
1350C4⋊C8—591no—
1351C4⋊C8C22×D5911yescharacteristic
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103C22×D5911yescharacteristic
1359#103C22×D5911yescharacteristic
1360#103C22×D5911yescharacteristic
1361#103C22×D5911yescharacteristic
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#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383#102C22×D5911yescharacteristic
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8C22×D5911yescharacteristic
1389C22⋊C8C22×D5911yescharacteristic
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393#97C22×D5911yescharacteristic
1394C4×C8—591no—
1395C4×C8—591no—
1396C24—21no—
1397C24—1181no—
1398C24—1181no—
1399C24—1181no—
1400C24—1181no—
1401#41—41no—
1402#41—41no—
1403#41—1182no—
1404#41—4722no—
1405#41—4722no—
1406#41—2361no—
1407#41—2361no—
1408#41—2361no—
1409C2×Q8—21no—
1410C2×Q8—591no—
1411C2×Q8—591no—
1412C2×Q8—1181no—
1413C2×Q8—1181no—
1414C2×Q8—1181no—
1415C2×Q8—1181no—
1416C2×Q8—4722no—
1417C2×Q8—2361no—
1418C2×Q8—2361no—
1419C2×Q8C23×D5911yescharacteristic
1420C2×Q8C23×D5911yescharacteristic
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—591no—
1427C2×D4—591no—
1428C2×D4—591no—
1429C2×D4—591no—
1430C2×D4—591no—
1431C2×D4—591no—
1432C2×D4—591no—
1433C2×D4—1182no—
1434C2×D4—1182no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—4722no—
1457C2×D4—4722no—
1458C2×D4—4722no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4D4×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—591no—
1471C22×C4—591no—
1472C22×C4—591no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4C23×D5911yescharacteristic
1488C22×C4C23×D5911yescharacteristic
1489Q16—41no—
1490Q16—2361no—
1491SD16—41no—
1492SD16—41no—
1493SD16—1182no—
1494SD16—1182no—
1495SD16—2361no—
1496SD16—2361no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501D8—1182no—
1502D8—1182no—
1503D8—1182no—
1504D8—1182no—
1505D8—2361no—
1506D8—2361no—
1507D8—2361no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513M16—41no—
1514M16—2361no—
1515M16—2361no—
1516M16—2361no—
1517C2×C8—41no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—2361no—
1523C2×C8C23×D5911yescharacteristic
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—591no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4D4×D5911yescharacteristic
1551C4⋊C4C23×D5911yescharacteristic
1552C4⋊C4C23×D5911yescharacteristic
1553C4⋊C4C23×D5911yescharacteristic
1554C4⋊C4C23×D5911yescharacteristic
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—591no—
1565C22⋊C4—591no—
1566C22⋊C4—591no—
1567C22⋊C4—591no—
1568C22⋊C4—591no—
1569C22⋊C4—591no—
1570C22⋊C4—591no—
1571C22⋊C4—591no—
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—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4D4×D5911yescharacteristic
1607C22⋊C4D4×D5911yescharacteristic
1608C42—21no—
1609C42—21no—
1610C42—21no—
1611C42—591no—
1612C42—591no—
1613C42—591no—
1614C42—591no—
1615C42—591no—
1616C42—1181no—
1617C42—1181no—
1618C42—1181no—
1619C42—1181no—
1620C42C23×D5911yescharacteristic
1621C23—21no—
1622C23—21no—
1623C23—81no—
1624C23—81no—
1625C23—81no—
1626C23—591no—
1627C23—1181no—
1628C23—1181no—
1629C23—1181no—
1630C23—1181no—
1631C23—1181no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—4721no—
1640C23—4721no—
1641C23—2362no—
1642C23—2362no—
1643C23—2362no—
1644C23C2×D4×D5911yescharacteristic
1645C23C2×D4×D5911yescharacteristic
1646Q8—21no—
1647Q8—21no—
1648Q8—21no—
1649Q8—21no—
1650Q8—42no—
1651Q8—1181no—
1652Q8—1181no—
1653Q8—4721no—
1654Q8—4721no—
1655Q8—4721no—
1656Q8—4721no—
1657Q8—2361no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—21no—
1662D4—41no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—592no—
1667D4—1181no—
1668D4—1181no—
1669D4—1181no—
1670D4—1181no—
1671D4—1181no—
1672D4—1181no—
1673D4—1181no—
1674D4—1181no—
1675D4—1181no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—4721no—
1691D4—2362no—
1692D4—2362no—
1693D4—2362no—
1694D4—2362no—
1695D4—2362no—
1696D4—2361no—
1697D4—2361no—
1698D4—2362no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—81no—
1710C2×C4—81no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—591no—
1716C2×C4—591no—
1717C2×C4—591no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—4721no—
1734C2×C4—4721no—
1735C2×C4—2361no—
1736C2×C4—2361no—
1737C2×C4—2362no—
1738C2×C4—2362no—
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C2×D4×D5911yescharacteristic
1743C2×C4C24×D5911yescharacteristic
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—21no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C8—1181no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—21no—
1757C22—21no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—162no—
1765C22—1181no—
1766C22—1182no—
1767C22—1181no—
1768C22—1181no—
1769C22—9442no—
1770C22—9442no—
1771C22—9442no—
1772C22—9442no—
1773C22—2361no—
1774C22—2361no—
1775C22—2361no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22—2361no—
1787C22C22×D4×D5911yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—1181no—
1802C4—1181no—
1803C4—1181no—
1804C4—1181no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4H(5,𝔽2)×D5911yescharacteristic
1809C4#1683823811yescharacteristic
1810C2—41no—
1811C2—41no—
1812C2—81no—
1813C2—81no—
1814C2—4721no—
1815C2—4721no—
1816C2—4721no—
1817C2—4721no—
1818C2—2361no—
1819C2—2362no—
1820C2#2143775911yescharacteristic
1821C2#2143887311yescharacteristic
1822C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3311C2
socleC22×C59C23×D4
hypercenter#3311D59
hypocenterC59#62088
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. #21438605C2semidirect
2. #21438060C2semidirect
3. #21437185C2semidirect
4. #21437183C2semidirect
5. #21436891C2semidirect
6. #21436885C2semidirect
7. #21436336C2semidirect
8. #21436334C2semidirect
9. #21436280C2semidirect
10. #21436278C2semidirect
11. #21436126C2semidirect
12. #21435724C2semidirect
13. #21435720C2semidirect
14. #21435581C2semidirect
15. #21435580C2semidirect
16. #21435577C2semidirect
17. #21435573C2semidirect
18. #21435562C2semidirect
19. #21435560C2semidirect
20. #21435476C2semidirect
21. #21435196C2semidirect
22. #21435194C2semidirect
23. #21435084C2semidirect
24. #21434283C2semidirect
25. #21434275C2semidirect
26. #21434245C2semidirect
27. #21433602C2semidirect
28. #21433598C2semidirect
29. #21433587C2semidirect
30. #21433262C2semidirect
31. C59×#3311C2semidirect
32. C2×#14273759C22semidirect
33. C2×#14273755C22semidirect
35. C2×#14273752C22semidirect
36. C22×D472C22semidirect
37. C22×#11745669C22semidirect
40. #16838137C22semidirect
41. #16838135C22semidirect
42. #16838134C22semidirect
43. #16838115C22semidirect
44. #16838115C22semidirect
47. #16838067C22semidirect
49. #16838062C22semidirect
50. #16838059C22semidirect
54. #16838043C22semidirect
55. #16838043C22semidirect
57. D4×D236C22semidirect
58. #16838036C22semidirect
59. D4×C22⋊D59C22semidirect
60. #16838025C22semidirect
61. #16838025C22semidirect
62. #16838025C22semidirect
63. #16838019C22semidirect
69. #16837969C22semidirect
70. #16837966C22semidirect
72. #16837953C22semidirect
73. #16837949C22semidirect
77. #124×D59C22semidirect
78. #16837876C22semidirect
79. #16837876C22semidirect
80. C4×#11745689C22semidirect
81. #16837792C22semidirect
82. #16837791C22semidirect
83. #16837788C22semidirect
84. #16837788C22semidirect
85. #16837787C22semidirect
86. #16837783C22semidirect
87. #16837764C22semidirect
88. #16837763C22semidirect
89. #16837760C22semidirect
90. #16837747C22semidirect
91. #16837747C22semidirect
92. #16837743C22semidirect
93. #16837729C22semidirect
94. #16837726C22semidirect
95. #16837725C22semidirect
96. #16837691C22semidirect
97. #16837691C22semidirect
98. #16837691C22semidirect
99. #16837690C22semidirect
100. #16837689C22semidirect
101. #16837686C22semidirect
102. #16837685C22semidirect
103. #16837685C22semidirect
104. #16837681C22semidirect
105. #16837658C22semidirect
106. #16837656C22semidirect
107. #16837656C22semidirect
109. #16837654C22semidirect
110. #16837654C22semidirect
112. #16837633C22semidirect
113. #16837633C22semidirect
114. #16837631C22semidirect
115. #16837627C22semidirect
116. #16837626C22semidirect
117. #16837626C22semidirect
118. #16837624C22semidirect
119. #16837622C22semidirect
120. #16837620C22semidirect
121. #16837620C22semidirect
122. #16837620C22semidirect
123. #16837620C22semidirect
124. #16837620C22semidirect
125. #16837620C22semidirect
126. #16837619C22semidirect
127. #16837618C22semidirect
128. #16837616C22semidirect
129. #16837616C22semidirect
130. #16837616C22semidirect
131. #16837616C22semidirect
132. #16837616C22semidirect
133. #16837614C22semidirect
134. #16837600C22semidirect
135. #16837598C22semidirect
136. #16837597C22semidirect
139. #16837596C22semidirect
140. #16837596C22semidirect
141. #16837596C22semidirect
142. #16837596C22semidirect
143. #16837596C22semidirect
144. #16837562C22semidirect
145. #16837555C22semidirect
146. #16837552C22semidirect
147. #16837552C22semidirect
148. #16837550C22semidirect
149. #16837549C22semidirect
150. #16837547C22semidirect
151. #16837546C22semidirect
152. #16837542C22semidirect
153. #16837542C22semidirect
155. #16837538C22semidirect
156. #16837537C22semidirect
157. #16837537C22semidirect
158. #16837536C22semidirect
160. #16837531C22semidirect
161. #16837530C22semidirect
162. #16837515C22semidirect
163. #16837513C22semidirect
164. #16837512C22semidirect
165. #16837511C22semidirect
166. #16837505C22semidirect
167. #16837501C22semidirect
168. #16837500C22semidirect
169. #16837489C22semidirect
170. #16837487C22semidirect
171. #16837484C22semidirect
172. #16837482C22semidirect
173. #16837478C22semidirect
174. #16837477C22semidirect
175. #16837474C22semidirect
176. #16837473C22semidirect
177. #16837470C22semidirect
178. #16837460C22semidirect
179. #16837460C22semidirect
180. #16837457C22semidirect
181. #16837430C22semidirect
182. #16837428C22semidirect
183. #16837424C22semidirect
184. #16837409C22semidirect
185. #16837406C22semidirect
186. #16837405C22semidirect
187. #16837396C22semidirect
188. C59×#556C22semidirect
190. C59×#489C22semidirect
191. C59×#485C22semidirect
192. C59×#482C22semidirect
193. C59×#476C22semidirect
194. C59×#470C22semidirect
195. C59×#465C22semidirect
196. C59×#464C22semidirect
197. C59×#452C22semidirect
198. C59×#450C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C59×#416C22semidirect
910. #3311D59semidirect
954. #556C2×D59semidirect
1003. #489C2×D59semidirect
1007. #485C2×D59semidirect
1011. #482C2×D59semidirect
1017. #476C2×D59semidirect
1023. #470C2×D59semidirect
1033. #465C2×D59semidirect
1039. #464C2×D59semidirect
1065. #452C2×D59semidirect
1069. #450C2×D59semidirect
1091. #440C2×D59semidirect
1101. #435C2×D59semidirect
1111. #418C2×D59semidirect
1113. #416C2×D59semidirect
1114. C59#62088semidirect

Maximal subgroups

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

subgroupindex
#214386052
#214380602
#214371852
#214371832
#214368912
#214368852
#214363362
#214363342
#214362802
#214362782
#214361262
#214357242
#214357202
#214355812
#214355802
#214355772
#214355732
#214355622
#214355602
#214354762
#214351962
#214351942
#214350842
#214342832
#214342752
#214342452
#214336022
#214335982
#214335872
#214332622
C59×#33112
#6208859