Finite Group Databasebeta

← #29482075

Subgroups — #29482075

Order 15104.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438674C211yesmaximal, characteristic, complemented
2#21438060C211yesmaximal, characteristic, complemented
3#21437185C211yesmaximal, characteristic, complemented
4#21437165C211yesmaximal, characteristic, complemented
5#21436891C211yesmaximal, characteristic, complemented
6#21436811C211yesmaximal, characteristic, complemented
7#21436285C211yesmaximal, characteristic, complemented
8#21436253C211yesmaximal, characteristic, complemented
9#21436156C211yesmaximal, characteristic, complemented
10#21436042C211yesmaximal, characteristic, complemented
11#21436022C211yesmaximal, characteristic, complemented
12#21435800C211yesmaximal, characteristic, complemented
13#21435774C211yesmaximal, characteristic, complemented
14#21435639C211yesmaximal, characteristic, complemented
15#21435628C211yesmaximal, characteristic, complemented
16#21435596C211yesmaximal, characteristic, complemented
17#21435577C211yesmaximal, characteristic, complemented
18#21435517C211yesmaximal, characteristic, complemented
19#21435510C211yesmaximal, characteristic, complemented
20#21435424C211yesmaximal, characteristic, complemented
21#21435209C211yesmaximal, characteristic, complemented
22#21435194C211yesmaximal, characteristic, complemented
23#21435092C211yesmaximal, characteristic, complemented
24#21434344C211yesmaximal, characteristic, complemented
25#21434335C211yesmaximal, characteristic, complemented
26#21434203C211yesmaximal, characteristic, complemented
27#21433611C211yesmaximal, characteristic, complemented
28#21433598C211yesmaximal, characteristic, complemented
29#21433550C211yesmaximal, characteristic, complemented
30#21433231C211yesmaximal, characteristic, complemented
31C59×#3311C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic
33C2×#14273752C2211yescharacteristic
34C2×#14273750C2211yescharacteristic, complemented
35C2×#14273748C2211yescharacteristic
36C22×#11745660C2211yescharacteristic, complemented
37C22×#11745669C2211yescharacteristic
38#16838149—21no—
39#16838141—21no—
40#16838137C2211yescharacteristic, complemented
41#16838135C2211yescharacteristic, complemented
42#16838121C2211yescharacteristic, complemented
43#16838115C2211yescharacteristic
44#16838115C2211yescharacteristic, complemented
45#16838099—21no—
46#16838078—21no—
47#16838077—21no—
48#16838077—21no—
49#16838071C2211yescharacteristic, complemented
50#16838067C2211yescharacteristic, complemented
51#16838064—21no—
52#16838061C2211yescharacteristic
53#16838058C2211yescharacteristic, complemented
54#16838054C2211yescharacteristic, complemented
55#16838046C2211yescharacteristic, complemented
56#16838045—21no—
57#16838043C2211yescharacteristic
58#16838043C2211yescharacteristic, complemented
59D4×D236C2211yescharacteristic
60#16838025C2211yescharacteristic
61#16838025C2211yescharacteristic, complemented
62#16838012C2211yescharacteristic, complemented
63#16838005C2211yescharacteristic, complemented
64#16838002—21no—
65#16837995—21no—
66#16837991—21no—
67#16837991—21no—
68#16837990—21no—
69#16837987—21no—
70#16837973C2211yescharacteristic, complemented
71#16837969C2211yescharacteristic, complemented
72#16837953C2211yescharacteristic, complemented
73#16837951C2211yescharacteristic, complemented
74#16837939—21no—
75#16837934C2211yescharacteristic
76#16837934C2211yescharacteristic, complemented
77#124×D59—21no—
78#16837876C2211yescharacteristic
79#16837876C2211yescharacteristic, complemented
80C4×#11745689C2211yescharacteristic, complemented
81#16837795C2211yescharacteristic, complemented
82#16837792C2211yescharacteristic
83#16837791C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837783C2211yescharacteristic, complemented
86#16837783C2211yescharacteristic, complemented
87#16837764C2211yescharacteristic, complemented
88#16837760C2211yescharacteristic, complemented
89#16837760C2211yescharacteristic, complemented
90#16837751C2211yescharacteristic, complemented
91#16837747C2211yescharacteristic, complemented
92#16837745C2211yescharacteristic, complemented
93#16837743C2211yescharacteristic, complemented
94#16837726C2211yescharacteristic, complemented
95#16837724C2211yescharacteristic, complemented
96#16837711C2211yescharacteristic, complemented
97#16837705C2211yescharacteristic, complemented
98#16837701C2211yescharacteristic, complemented
99#16837701C2211yescharacteristic, complemented
100#16837695C2211yescharacteristic, complemented
101#16837694C2211yescharacteristic, complemented
102#16837691C2211yescharacteristic, complemented
103#16837686C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837653C2211yescharacteristic
106#16837650C2211yescharacteristic, complemented
107#16837648C2211yescharacteristic
108#16837641C2211yescharacteristic, complemented
109#16837638C2211yescharacteristic, complemented
110#16837637C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic, complemented
112#16837633C2211yescharacteristic
113#16837632C2211yescharacteristic, complemented
114#16837632C2211yescharacteristic, complemented
115#16837627C2211yescharacteristic, complemented
116#16837626C2211yescharacteristic, complemented
117#16837624C2211yescharacteristic, complemented
118#16837622C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic, complemented
120#16837619C2211yescharacteristic, complemented
121#16837618C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic
123#16837616C2211yescharacteristic
124#16837616C2211yescharacteristic
125#16837616C2211yescharacteristic, complemented
126#16837616C2211yescharacteristic, complemented
127#16837616C2211yescharacteristic, complemented
128#16837616C2211yescharacteristic, complemented
129#16837614C2211yescharacteristic
130#16837610C2211yescharacteristic, complemented
131#16837606C2211yescharacteristic, complemented
132#16837606C2211yescharacteristic, complemented
133#16837606C2211yescharacteristic, complemented
134#16837606C2211yescharacteristic, complemented
135#16837606C2211yescharacteristic, complemented
136#16837603C2211yescharacteristic, complemented
137#16837600C2211yescharacteristic, complemented
138#16837597C2211yescharacteristic
139#16837596C2211yescharacteristic
140#16837596C2211yescharacteristic
141#16837596C2211yescharacteristic, complemented
142#16837596C2211yescharacteristic, complemented
143#16837596C2211yescharacteristic, complemented
144#16837567C2211yescharacteristic, complemented
145#16837562C2211yescharacteristic, complemented
146#16837557C2211yescharacteristic, complemented
147#16837555C2211yescharacteristic
148#16837552C2211yescharacteristic
149#16837550C2211yescharacteristic, complemented
150#16837550C2211yescharacteristic, complemented
151#16837549C2211yescharacteristic
152#16837548C2211yescharacteristic, complemented
153#16837548C2211yescharacteristic, complemented
154#16837547C2211yescharacteristic
155#16837546C2211yescharacteristic
156#16837543C2211yescharacteristic, complemented
157#16837538C2211yescharacteristic, complemented
158#16837536C2211yescharacteristic
159#16837535C2211yescharacteristic
160#16837531C2211yescharacteristic, complemented
161#16837530C2211yescharacteristic, complemented
162#16837513C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic
164#16837511C2211yescharacteristic, complemented
165#16837507C2211yescharacteristic, complemented
166#16837505C2211yescharacteristic, complemented
167#16837504C2211yescharacteristic, complemented
168#16837501C2211yescharacteristic, complemented
169#16837489C2211yescharacteristic, complemented
170#16837487C2211yescharacteristic, complemented
171#16837484C2211yescharacteristic, complemented
172#16837482C2211yescharacteristic
173#16837476C2211yescharacteristic, complemented
174#16837474C2211yescharacteristic
175#16837471C2211yescharacteristic, complemented
176C8×C22⋊D59C2211yescharacteristic, complemented
177(C22⋊D59)⋊C8C2211yescharacteristic, complemented
178#16837460C2211yescharacteristic, complemented
179#16837460C2211yescharacteristic, complemented
180#16837457C2211yescharacteristic, complemented
181#16837430C2211yescharacteristic, complemented
182#16837428C2211yescharacteristic, complemented
183C4⋊C8×D59C2211yescharacteristic, complemented
184#16837410C2211yescharacteristic, complemented
185#16837397C2211yescharacteristic, complemented
186#16837396C2211yescharacteristic, complemented
187#16837395C2211yescharacteristic, complemented
188C59×#556C2211yescharacteristic
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
201C59×#418C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745689C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C22×Dic118C2311yescharacteristic
209C2×Q8×D59—21no—
210C22×D236C2311yescharacteristic
211C22×D236C2311yescharacteristic
212C2×D4×D59—21no—
213#14273755—42no—
214#14273752—42no—
215#14273750—42no—
216#14273748—42no—
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745660—42no—
220C2×#11745660C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×D472C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×#11745669—42no—
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C22×C59⋊C8C2311yescharacteristic
242C2×C8×D59C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244#14273726C2311yescharacteristic
245#14273726C2311yescharacteristic
246#14273725C2311yescharacteristic
247#14273725C2311yescharacteristic
248#14273724C2311yescharacteristic
249#14273723—21no—
250#14273723C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273722—21no—
253#14273722—21no—
254#14273720—21no—
255#14273720—21no—
256#14273720—21no—
257#14273720—21no—
258#14273720—21no—
259#14273720D411yescharacteristic
260#14273720D411yescharacteristic
261#14273718—21no—
262#14273718D411yescharacteristic
263#14273718C2311yescharacteristic
264#14273717—21no—
265#14273716—21no—
266#14273716C2311yescharacteristic
267#14273716C2311yescharacteristic
268#14273715—21no—
269#14273715—21no—
270#14273715—21no—
271#14273715C2311yescharacteristic
272#14273714D411yescharacteristic
273#14273714C2311yescharacteristic
274#14273714C2311yescharacteristic
275#14273714C2311yescharacteristic
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273711—21no—
289#14273710—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709D411yescharacteristic
297#14273709D411yescharacteristic
298#14273708—21no—
299#14273708—21no—
300#14273708—21no—
301#14273707—21no—
302#14273707—21no—
303#14273707D411yescharacteristic
304#14273707C2311yescharacteristic
305#14273706—21no—
306#14273706—21no—
307#14273706C2311yescharacteristic
308#14273705—21no—
309#14273705—21no—
310#14273705—21no—
311#14273704—21no—
312#14273704—21no—
313#14273703—21no—
314#14273702—21no—
315#14273702—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702C2311yescharacteristic
319#14273702C2311yescharacteristic
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#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699—21no—
333#14273698—21no—
334#14273698—21no—
335#14273698—21no—
336#14273698—21no—
337#14273698D411yescharacteristic
338#14273698C2311yescharacteristic
339#14273697—21no—
340#14273697—21no—
341#14273697—21no—
342#14273697—21no—
343#14273696—21no—
344#14273696—21no—
345#14273696—21no—
346Q8×Dic59C2311yescharacteristic
347Q8×Dic59C2311yescharacteristic
348C4×Dic118C2311yescharacteristic
349C4×Dic118C2311yescharacteristic
350#14273692C2311yescharacteristic
351C4×D236—21no—
352C4×D236—21no—
353C4×D236—21no—
354C4×D236—21no—
355C4×D236—21no—
356C4×D236—21no—
357C4×D236C2311yescharacteristic
358D4×Dic59—21no—
359D4×Dic59C2311yescharacteristic
360#14273689—21no—
361#14273689—21no—
362#14273689C2311yescharacteristic
363#14273689C2311yescharacteristic
364#14273689C2311yescharacteristic
365#14273689C2311yescharacteristic
366#14273689C2311yescharacteristic
367#14273689C2311yescharacteristic
368#14273689C2311yescharacteristic
369#14273689C2311yescharacteristic
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#14273686C2311yescharacteristic
380#14273686C2311yescharacteristic
381#14273685—21no—
382#14273685C2311yescharacteristic
383#14273684—21no—
384#14273684—21no—
385#14273683—21no—
386C4⋊C4×D59—21no—
387C2×C22⋊Dic59—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#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
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#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
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—
487#41×C59—41no—
488#41×C59—41no—
489C2×Q8×C59—21no—
490C2×Q8×C59C2411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—41no—
496C2×D4×C59—41no—
497C2×D4×C59C2×D411yescharacteristic
498C2×D4×C59C2411yescharacteristic
499C2×D4×C59C2411yescharacteristic
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59C2411yescharacteristic
503C22×C4×C59C2411yescharacteristic
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—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59C2×D411yescharacteristic
515C2×C22⋊D59C2×D411yescharacteristic
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519#11745689—22no—
520#11745689—41no—
521#11745689—41no—
522#11745689—41no—
523#11745689—82no—
524Q8×D59—82no—
525#11745687—41no—
526#11745687—41no—
527D4×D59—82no—
528#11745685—41no—
529#11745685—41no—
530C2×D236—22no—
531C2×D236—22no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—41no—
541C2×D236—41no—
542C2×D236C2411yescharacteristic
543C2×D236C2411yescharacteristic
544C2×D236C2411yescharacteristic
545C2×D236C2411yescharacteristic
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59C2×D411yescharacteristic
559C2×C4×D59C2×D411yescharacteristic
560C2×C4×D59C2411yescharacteristic
561C2×Dic118—21no—
562C2×Dic118—21no—
563C2×Dic118—21no—
564C2×Dic118—41no—
565C2×Dic118—41no—
566C2×Dic118C2×D411yescharacteristic
567C2×Dic118C2411yescharacteristic
568C2×Dic118C2411yescharacteristic
569Q16×C59—41no—
570SD16×C59—41no—
571SD16×C59—41no—
572M16×C59—41no—
573C2×C8×C59—41no—
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C2×C8×C59C2411yescharacteristic
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59C2×D411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
585C4⋊C4×C59C2411yescharacteristic
586C4⋊C4×C59C2411yescharacteristic
587C4⋊C4×C59C2411yescharacteristic
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59C2×D411yescharacteristic
598C22⋊C4×C59C2×D411yescharacteristic
599C42×C59—21no—
600C42×C59—21no—
601C42×C59—21no—
602C42×C59C2411yescharacteristic
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59C2×D411yescharacteristic
613C22⋊Dic59C2×D411yescharacteristic
614C22⋊Dic59C2×D411yescharacteristic
615C22⋊Dic59C2×D411yescharacteristic
616C22⋊Dic59C2×D411yescharacteristic
617C22⋊Dic59C2×D411yescharacteristic
618#11745672—41no—
619#11745672—41no—
620#11745671—22no—
621#11745671—41no—
622#11745671—41no—
623#11745671—41no—
624#11745669—22no—
625#11745669—22no—
626#11745669—41no—
627#11745669—41no—
628#11745669—41no—
629#11745669—41no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊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)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59C2×D411yescharacteristic
659C4⋊Dic59C2×D411yescharacteristic
660C4⋊Dic59C2×D411yescharacteristic
661C4⋊Dic59C2×D411yescharacteristic
662C4⋊Dic59C2×D411yescharacteristic
663C4⋊Dic59C2411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
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
688C4×Dic59C2411yescharacteristic
689#11745664—41no—
690C2×C59⋊C8—41no—
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695D472—22no—
696D472—41no—
697D472—41no—
698#11745660—22no—
699#11745660—22no—
700#11745660—41no—
701#11745660—41no—
702#11745660—41no—
703#11745660—41no—
704C8×D59—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—81no—
709C23×C59—81no—
710C23×C59—81no—
711C23×C59C22×D411yescharacteristic
712C23×C59C22×D411yescharacteristic
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59C22×D411yescharacteristic
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—21no—
728Q8×C59—42no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—41no—
734D4×C59—81no—
735D4×C59—81no—
736D4×C59—81no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—81no—
748C2×C4×C59—81no—
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C2511yescharacteristic
754C22⋊D59—41no—
755C22⋊D59—41no—
756C22⋊D59—81no—
757C22⋊D59—81no—
758C22⋊D59—81no—
759C22⋊D59—81no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—81no—
771C2×Dic59—81no—
772C2×Dic59—81no—
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780D236—21no—
781D236—21no—
782D236—21no—
783D236—21no—
784D236—21no—
785D236—21no—
786D236—21no—
787D236—42no—
788D236—42no—
789D236—42no—
790D236—42no—
791D236—81no—
792D236—81no—
793D236—81no—
794D236—81no—
795D236H(5,𝔽2)12yes—
796C4×D59—21no—
797C4×D59—21no—
798C4×D59—41no—
799C4×D59—41no—
800C4×D59—42no—
801C4×D59—42no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807C4×D59—81no—
808C4×D59—81no—
809C4×D59—81no—
810C4×D59—81no—
811C4×D59—81no—
812Dic118—21no—
813Dic118—21no—
814Dic118—21no—
815Dic118—21no—
816Dic118—41no—
817Dic118—81no—
818Dic118—81no—
819Dic118—81no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823C8×C59—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827C59⋊C8—21no—
828#62011—591nomaximal, Sylow
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—21no—
833C22×C59—21no—
834C22×C59—21no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—162no—
842C22×C59C23×D411yescharacteristic
843C2×D59—21no—
844C2×D59—21no—
845C2×D59—21no—
846C2×D59—22no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—162no—
859C2×D59—162no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—21no—
863C4×C59—21no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59—41no—
869C4×C59—41no—
870C4×C59C2×H(5,𝔽2)11yescharacteristic
871C4×C59#58511yescharacteristic
872Dic59—21no—
873Dic59—21no—
874Dic59—21no—
875Dic59—21no—
876Dic59—21no—
877Dic59—21no—
878Dic59—21no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883#3562—591no—
884#3514—591no—
885#3403—591no—
886#3401—591no—
887#3373—591no—
888#3367—591no—
889#3321—591no—
890#3319—591no—
891#3313—591no—
892#3311D5911yescharacteristic, complemented
893#3305—591no—
894#3303—591no—
895#3282—591no—
896#3280—591no—
897#3268—591no—
898#3267—591no—
899#3265—591no—
900#3264—591no—
901#3258—591no—
902#3257—591no—
903#3247—591no—
904#3225—591no—
905#3224—591no—
906#3214—591no—
907#3123—591no—
908#3122—591no—
909#3111—591no—
910#3042—591no—
911#3041—591no—
912#3035—591no—
913#2992—591no—
914C2×C59—41no—
915C2×C59—41no—
916C2×C59—81no—
917C2×C59—81no—
918C2×C59#348811yescharacteristic
919C2×C59#358411yescharacteristic
920C2×C59#358511yescharacteristic
921D59—41no—
922D59—42no—
923D59—81no—
924D59—81no—
925D59—81no—
926C2×AGL(1,ℤ/8)—591no—
927C2×AGL(1,ℤ/8)—591no—
928C2×#135—591no—
929C2×#135—591no—
930C22×SD16—591no—
931C22×D8—591no—
932#562—1181no—
933#560—1181no—
934#559—591no—
935#559—591no—
936#556—591no—
937#556C2×D5911yescharacteristic
938#555—591no—
939#555—591no—
940#553—1181no—
941#551—1181no—
942#551—1181no—
943#551—1181no—
944#550—591no—
945D4×Q8—591no—
946#548—591no—
947#548—591no—
948#548—1181no—
949#547—591no—
950#546—591no—
951#546—591no—
952#546—591no—
953#546—1181no—
954#546C2×D5911yescharacteristic
955D42—591no—
956#542—591no—
957#542—591no—
958#541—591no—
959#540—591no—
960#540—1181no—
961#539—1181no—
962#538—1181no—
963#538—1181no—
964#538—1181no—
965#538—1181no—
966#536—591no—
967#535—591no—
968#532—591no—
969#532—591no—
970#529—591no—
971#529—591no—
972#529—1181no—
973C2×#124—1181no—
974#518—591no—
975#518—591no—
976C4×#41—591no—
977#497—591no—
978#496—591no—
979#496—591no—
980#496—591no—
981#495—591no—
982#495—591no—
983#489—591no—
984#489—591no—
985#489—591no—
986#489C2×D5911yescharacteristic, complemented
987#487—591no—
988#486—591no—
989#485—591no—
990#485—591no—
991#485C2×D5911yescharacteristic, complemented
992#482—591no—
993#482—591no—
994#482C2×D5911yescharacteristic, complemented
995#479—591no—
996#478—591no—
997#478—591no—
998#478—591no—
999#477—591no—
1000#477—591no—
1001#476—591no—
1002#476C2×D5911yescharacteristic, complemented
1003#475—591no—
1004#474—591no—
1005#470C2×D5911yescharacteristic, complemented
1006#469—591no—
1007#468—591no—
1008#468—591no—
1009#467—591no—
1010#466—591no—
1011#466—591no—
1012#466—591no—
1013#465—591no—
1014#465—591no—
1015#465—591no—
1016#465C2×D5911yescharacteristic, complemented
1017#464—591no—
1018#464—591no—
1019#464—591no—
1020#464—591no—
1021#464C2×D5911yescharacteristic, complemented
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463—591no—
1032#463—591no—
1033#462—591no—
1034#461—591no—
1035#461—591no—
1036#461—591no—
1037#461—591no—
1038#461—591no—
1039#460—591no—
1040#460—591no—
1041#459—591no—
1042#459—591no—
1043#459—591no—
1044#459—591no—
1045#459—591no—
1046#459—591no—
1047#452—591no—
1048#452—591no—
1049#452C2×D5911yescharacteristic, complemented
1050#451—591no—
1051#450—591no—
1052#450—591no—
1053#450C2×D5911yescharacteristic, complemented
1054#449—591no—
1055#449—591no—
1056#449—591no—
1057#449—591no—
1058#449—591no—
1059#449—591no—
1060#449—591no—
1061#448—591no—
1062#447—591no—
1063#447—591no—
1064#447—591no—
1065#446—591no—
1066#446—591no—
1067#442—591no—
1068#442—591no—
1069#442—591no—
1070#441—591no—
1071#440—591no—
1072#440—591no—
1073#440—591no—
1074#440C2×D5911yescharacteristic, complemented
1075C4×SD16—591no—
1076C4×SD16—591no—
1077C4×D8—591no—
1078C4×D8—591no—
1079#435—591no—
1080#435—591no—
1081#435—591no—
1082#435C2×D5911yescharacteristic
1083C8×D4—591no—
1084C8×D4—591no—
1085#433—591no—
1086#433—591no—
1087#432—591no—
1088#424—591no—
1089#424—591no—
1090C2×C4⋊C8—591no—
1091#419—591no—
1092#418C2×D5911yescharacteristic, complemented
1093#416—591no—
1094#416—591no—
1095#416—591no—
1096#416C2×D5911yescharacteristic, complemented
1097C59#6201111yescharacteristic, complemented, Sylow
1098C2×#41—591no—
1099C2×#41—591no—
1100C2×#41—591no—
1101C2×#41—591no—
1102C2×#41—1181no—
1103C2×#41C22×D5911yescharacteristic
1104C22×Q8—591no—
1105C22×Q8—1181no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—1181no—
1109C22×D4C22×D5911yescharacteristic
1110AGL(1,ℤ/8)—2362no—
1111AGL(1,ℤ/8)—2362no—
1112#135—2362no—
1113#135—2362no—
1114C2×Q16—591no—
1115C2×Q16—591no—
1116C2×Q16C22×D5911yescharacteristic
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—2362no—
1128C2×SD16C22×D5911yescharacteristic
1129C2×SD16C22×D5911yescharacteristic
1130C2×D8—591no—
1131C2×D8—591no—
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8—591no—
1135C2×D8—591no—
1136C2×D8—591no—
1137C2×D8—591no—
1138C2×D8—591no—
1139C2×D8—2362no—
1140C2×M16—591no—
1141C2×M16C22×D5911yescharacteristic
1142C22×C8—591no—
1143C22×C8—591no—
1144C22×C8—591no—
1145C22×C8C22×D5911yescharacteristic
1146C4⋊Q8—591no—
1147C4⋊Q8—591no—
1148C4⋊Q8—591no—
1149C4⋊Q8—591no—
1150C4⋊Q8C22×D5911yescharacteristic
1151#127—591no—
1152#127—591no—
1153#127—591no—
1154#127—1181no—
1155#126—21no—
1156#126—21no—
1157#126—591no—
1158#126—591no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#126—1181no—
1163#126—1181no—
1164#126—1181no—
1165#126—1181no—
1166#125—591no—
1167#125—591no—
1168#125—1181no—
1169#125—1181no—
1170#124—21no—
1171#124—591no—
1172#124—591no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—591no—
1177#124—591no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124C22×D5911yescharacteristic
1190#123—21no—
1191#123—591no—
1192#123—591no—
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—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
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⋊Q8C22×D5911yescharacteristic
1223C22⋊Q8C22×D5911yescharacteristic
1224C22⋊Q8C22×D5911yescharacteristic
1225#121—21no—
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
1230#121—591no—
1231#121—591no—
1232#121—591no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121C22×D5911yescharacteristic
1252#120—21no—
1253#120—1181no—
1254#120—1181no—
1255#120—1181no—
1256#120—1181no—
1257#120—1181no—
1258#120—1181no—
1259#120—1181no—
1260C4×Q8—21no—
1261C4×Q8—591no—
1262C4×Q8—591no—
1263C4×Q8—591no—
1264C4×Q8—591no—
1265C4×Q8—591no—
1266C4×Q8C22×D5911yescharacteristic
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296#117—591no—
1297#117—591no—
1298#117—591no—
1299#117—1181no—
1300#117—1181no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304#117C22×D5911yescharacteristic
1305#117C22×D5911yescharacteristic
1306C2×C4⋊C4—1181no—
1307C2×C22⋊C4—21no—
1308C2×C22⋊C4—1181no—
1309C2×C22⋊C4—1181no—
1310C2×C22⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C42—591no—
1316C2×C42—1181no—
1317#107—591no—
1318#107—591no—
1319#107—591no—
1320#107C22×D5911yescharacteristic
1321#106—591no—
1322#106—591no—
1323#106C22×D5911yescharacteristic
1324#106C22×D5911yescharacteristic
1325C4⋊C8—591no—
1326C4⋊C8—591no—
1327C4⋊C8—591no—
1328C4⋊C8—591no—
1329C4⋊C8—591no—
1330C4⋊C8—591no—
1331C4⋊C8—591no—
1332C4⋊C8—591no—
1333C4⋊C8—591no—
1334C4⋊C8C22×D5911yescharacteristic
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#103—591no—
1344#103—591no—
1345#103C22×D5911yescharacteristic
1346#103C22×D5911yescharacteristic
1347#103C22×D5911yescharacteristic
1348#103C22×D5911yescharacteristic
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102C22×D5911yescharacteristic
1362#102C22×D5911yescharacteristic
1363#102C22×D5911yescharacteristic
1364#102C22×D5911yescharacteristic
1365#102C22×D5911yescharacteristic
1366#102C22×D5911yescharacteristic
1367C22⋊C8—591no—
1368C22⋊C8—591no—
1369C22⋊C8—591no—
1370C22⋊C8—591no—
1371C22⋊C8C22×D5911yescharacteristic
1372C22⋊C8C22×D5911yescharacteristic
1373#97—591no—
1374#97—591no—
1375#97—591no—
1376#97C22×D5911yescharacteristic
1377C4×C8—591no—
1378C4×C8—591no—
1379C24—21no—
1380C24—1181no—
1381C24—1181no—
1382#41—41no—
1383#41—41no—
1384#41—1182no—
1385#41—4722no—
1386#41—2361no—
1387#41—2361no—
1388#41—2361no—
1389#41—2361no—
1390#41—2361no—
1391#41—2361no—
1392#41—2361no—
1393C2×Q8—21no—
1394C2×Q8—591no—
1395C2×Q8—591no—
1396C2×Q8—591no—
1397C2×Q8—1181no—
1398C2×Q8—1181no—
1399C2×Q8—1181no—
1400C2×Q8—4722no—
1401C2×Q8—2361no—
1402C2×Q8—2361no—
1403C2×Q8C23×D5911yescharacteristic
1404C2×Q8C23×D5911yescharacteristic
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—591no—
1411C2×D4—591no—
1412C2×D4—591no—
1413C2×D4—591no—
1414C2×D4—591no—
1415C2×D4—591no—
1416C2×D4—1182no—
1417C2×D4—1182no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—4722no—
1437C2×D4—2361no—
1438C2×D4—2361no—
1439C2×D4D4×D5911yescharacteristic
1440C2×D4C23×D5911yescharacteristic
1441C2×D4C23×D5911yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—591no—
1445C22×C4—591no—
1446C22×C4—591no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4C23×D5911yescharacteristic
1463C22×C4C23×D5911yescharacteristic
1464Q16—41no—
1465Q16—2361no—
1466Q16—2361no—
1467SD16—41no—
1468SD16—41no—
1469SD16—1182no—
1470SD16—1182no—
1471SD16—1182no—
1472SD16—2361no—
1473SD16—2361no—
1474SD16—2361no—
1475SD16—2361no—
1476SD16—2361no—
1477SD16—2361no—
1478SD16—2361no—
1479D8—1182no—
1480D8—1182no—
1481D8—1182no—
1482D8—2361no—
1483D8—2361no—
1484D8—2361no—
1485D8—2361no—
1486D8—2361no—
1487D8—2361no—
1488M16—41no—
1489M16—2361no—
1490C2×C8—41no—
1491C2×C8—591no—
1492C2×C8—591no—
1493C2×C8—591no—
1494C2×C8—591no—
1495C2×C8—2361no—
1496C2×C8—2361no—
1497C2×C8—2361no—
1498C2×C8C23×D5911yescharacteristic
1499C2×C8C23×D5911yescharacteristic
1500C2×C8C23×D5911yescharacteristic
1501C2×C8C23×D5911yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—591no—
1513C4⋊C4—591no—
1514C4⋊C4—591no—
1515C4⋊C4—591no—
1516C4⋊C4—591no—
1517C4⋊C4—591no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4D4×D5911yescharacteristic
1533C4⋊C4C23×D5911yescharacteristic
1534C4⋊C4C23×D5911yescharacteristic
1535C4⋊C4C23×D5911yescharacteristic
1536C4⋊C4C23×D5911yescharacteristic
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—591no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—591no—
1550C22⋊C4—591no—
1551C22⋊C4—591no—
1552C22⋊C4—591no—
1553C22⋊C4—591no—
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⋊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⋊C4D4×D5911yescharacteristic
1586C22⋊C4D4×D5911yescharacteristic
1587C42—21no—
1588C42—21no—
1589C42—21no—
1590C42—591no—
1591C42—591no—
1592C42—591no—
1593C42—591no—
1594C42—591no—
1595C42—1181no—
1596C42—1181no—
1597C42—1181no—
1598C42—1181no—
1599C42—1181no—
1600C42C23×D5911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—81no—
1604C23—81no—
1605C23—81no—
1606C23—591no—
1607C23—1181no—
1608C23—1181no—
1609C23—1181no—
1610C23—1181no—
1611C23—4721no—
1612C23—4721no—
1613C23—4721no—
1614C23—4721no—
1615C23—2362no—
1616C23—2362no—
1617C23C2×D4×D5911yescharacteristic
1618C23C2×D4×D5911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—42no—
1624Q8—1181no—
1625Q8—1181no—
1626Q8—1181no—
1627Q8—1181no—
1628Q8—4721no—
1629Q8—4721no—
1630Q8—4721no—
1631Q8—2361no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—41no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—592no—
1641D4—1181no—
1642D4—1181no—
1643D4—1181no—
1644D4—1181no—
1645D4—1181no—
1646D4—1181no—
1647D4—1181no—
1648D4—4721no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—4721no—
1653D4—4721no—
1654D4—4721no—
1655D4—4721no—
1656D4—4721no—
1657D4—4721no—
1658D4—4721no—
1659D4—4721no—
1660D4—4721no—
1661D4—4721no—
1662D4—2362no—
1663D4—2362no—
1664D4—2362no—
1665D4—2362no—
1666D4—2361no—
1667D4—2361no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—591no—
1681C2×C4—591no—
1682C2×C4—591no—
1683C2×C4—591no—
1684C2×C4—591no—
1685C2×C4—591no—
1686C2×C4—591no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—4721no—
1694C2×C4—4721no—
1695C2×C4—4721no—
1696C2×C4—4721no—
1697C2×C4—4721no—
1698C2×C4—4721no—
1699C2×C4—4721no—
1700C2×C4—4721no—
1701C2×C4—4721no—
1702C2×C4—4721no—
1703C2×C4—4721no—
1704C2×C4—4721no—
1705C2×C4—4721no—
1706C2×C4—2361no—
1707C2×C4—2361no—
1708C2×C4—2362no—
1709C2×C4—2362no—
1710C2×C4C2×D4×D5911yescharacteristic
1711C2×C4C2×D4×D5911yescharacteristic
1712C2×C4C2×D4×D5911yescharacteristic
1713C2×C4C2×D4×D5911yescharacteristic
1714C2×C4C24×D5911yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1181no—
1720C8—1181no—
1721C8—1181no—
1722C8—1181no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—162no—
1736C22—1181no—
1737C22—1182no—
1738C22—1181no—
1739C22—1181no—
1740C22—9442no—
1741C22—9442no—
1742C22—2361no—
1743C22—2361no—
1744C22—2361no—
1745C22—2361no—
1746C22—2361no—
1747C22—2361no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22C22×D4×D5911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—1181no—
1765C4—1181no—
1766C4—1181no—
1767C4—1181no—
1768C4—1181no—
1769C4—1181no—
1770C4—1181no—
1771C4—2361no—
1772C4—2361no—
1773C4—2361no—
1774C4—2361no—
1775C4H(5,𝔽2)×D5911yescharacteristic
1776C4#1683823811yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—81no—
1780C2—81no—
1781C2—4721no—
1782C2—4721no—
1783C2—4721no—
1784C2—2361no—
1785C2—2362no—
1786C2#2143775911yescharacteristic
1787C2#2143886811yescharacteristic
1788C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3311C2
socleC22×C59C23×D4
hypercenter#3311D59
hypocenterC59#62011
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. #21438674C2semidirect
2. #21438060C2semidirect
3. #21437185C2semidirect
4. #21437165C2semidirect
5. #21436891C2semidirect
6. #21436811C2semidirect
7. #21436285C2semidirect
8. #21436253C2semidirect
9. #21436156C2semidirect
10. #21436042C2semidirect
11. #21436022C2semidirect
12. #21435800C2semidirect
13. #21435774C2semidirect
14. #21435639C2semidirect
15. #21435628C2semidirect
16. #21435596C2semidirect
17. #21435577C2semidirect
18. #21435517C2semidirect
19. #21435510C2semidirect
20. #21435424C2semidirect
21. #21435209C2semidirect
22. #21435194C2semidirect
23. #21435092C2semidirect
24. #21434344C2semidirect
25. #21434335C2semidirect
26. #21434203C2semidirect
27. #21433611C2semidirect
28. #21433598C2semidirect
29. #21433550C2semidirect
30. #21433231C2semidirect
31. C59×#3311C2semidirect
34. C2×#14273750C22semidirect
36. C22×#11745660C22semidirect
40. #16838137C22semidirect
41. #16838135C22semidirect
42. #16838121C22semidirect
44. #16838115C22semidirect
49. #16838071C22semidirect
50. #16838067C22semidirect
53. #16838058C22semidirect
54. #16838054C22semidirect
55. #16838046C22semidirect
58. #16838043C22semidirect
61. #16838025C22semidirect
62. #16838012C22semidirect
63. #16838005C22semidirect
70. #16837973C22semidirect
71. #16837969C22semidirect
72. #16837953C22semidirect
73. #16837951C22semidirect
76. #16837934C22semidirect
79. #16837876C22semidirect
80. C4×#11745689C22semidirect
81. #16837795C22semidirect
83. #16837791C22semidirect
84. #16837788C22semidirect
85. #16837783C22semidirect
86. #16837783C22semidirect
87. #16837764C22semidirect
88. #16837760C22semidirect
89. #16837760C22semidirect
90. #16837751C22semidirect
91. #16837747C22semidirect
92. #16837745C22semidirect
93. #16837743C22semidirect
94. #16837726C22semidirect
95. #16837724C22semidirect
96. #16837711C22semidirect
97. #16837705C22semidirect
98. #16837701C22semidirect
99. #16837701C22semidirect
100. #16837695C22semidirect
101. #16837694C22semidirect
102. #16837691C22semidirect
103. #16837686C22semidirect
104. #16837680C22semidirect
106. #16837650C22semidirect
108. #16837641C22semidirect
109. #16837638C22semidirect
110. #16837637C22semidirect
111. #16837637C22semidirect
113. #16837632C22semidirect
114. #16837632C22semidirect
115. #16837627C22semidirect
116. #16837626C22semidirect
117. #16837624C22semidirect
118. #16837622C22semidirect
119. #16837620C22semidirect
120. #16837619C22semidirect
121. #16837618C22semidirect
125. #16837616C22semidirect
126. #16837616C22semidirect
127. #16837616C22semidirect
128. #16837616C22semidirect
130. #16837610C22semidirect
131. #16837606C22semidirect
132. #16837606C22semidirect
133. #16837606C22semidirect
134. #16837606C22semidirect
135. #16837606C22semidirect
136. #16837603C22semidirect
137. #16837600C22semidirect
141. #16837596C22semidirect
142. #16837596C22semidirect
143. #16837596C22semidirect
144. #16837567C22semidirect
145. #16837562C22semidirect
146. #16837557C22semidirect
149. #16837550C22semidirect
150. #16837550C22semidirect
152. #16837548C22semidirect
153. #16837548C22semidirect
156. #16837543C22semidirect
157. #16837538C22semidirect
160. #16837531C22semidirect
161. #16837530C22semidirect
162. #16837513C22semidirect
164. #16837511C22semidirect
165. #16837507C22semidirect
166. #16837505C22semidirect
167. #16837504C22semidirect
168. #16837501C22semidirect
169. #16837489C22semidirect
170. #16837487C22semidirect
171. #16837484C22semidirect
173. #16837476C22semidirect
175. #16837471C22semidirect
176. C8×C22⋊D59C22semidirect
177. (C22⋊D59)⋊C8C22semidirect
178. #16837460C22semidirect
179. #16837460C22semidirect
180. #16837457C22semidirect
181. #16837430C22semidirect
182. #16837428C22semidirect
183. C4⋊C8×D59C22semidirect
184. #16837410C22semidirect
185. #16837397C22semidirect
186. #16837396C22semidirect
187. #16837395C22semidirect
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
201. C59×#418C22semidirect
202. C59×#416C22semidirect
892. #3311D59semidirect
986. #489C2×D59semidirect
991. #485C2×D59semidirect
994. #482C2×D59semidirect
1002. #476C2×D59semidirect
1005. #470C2×D59semidirect
1016. #465C2×D59semidirect
1021. #464C2×D59semidirect
1049. #452C2×D59semidirect
1053. #450C2×D59semidirect
1074. #440C2×D59semidirect
1092. #418C2×D59semidirect
1096. #416C2×D59semidirect
1097. C59#62011semidirect

Maximal subgroups

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

subgroupindex
#214386742
#214380602
#214371852
#214371652
#214368912
#214368112
#214362852
#214362532
#214361562
#214360422
#214360222
#214358002
#214357742
#214356392
#214356282
#214355962
#214355772
#214355172
#214355102
#214354242
#214352092
#214351942
#214350922
#214343442
#214343352
#214342032
#214336112
#214335982
#214335502
#214332312
C59×#33112
#6201159