Finite Group Databasebeta

← #29484078

Subgroups — #29484078

Order 15104.

1842 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438667C211yesmaximal, characteristic, complemented
2#21438055C211yesmaximal, characteristic, complemented
3#21437166C211yesmaximal, characteristic, complemented
4#21437159C211yesmaximal, characteristic, complemented
5#21436817C211yesmaximal, characteristic, complemented
6#21436813C211yesmaximal, characteristic, complemented
7#21436387C211yesmaximal, characteristic, complemented
8#21436385C211yesmaximal, characteristic, complemented
9#21436258C211yesmaximal, characteristic, complemented
10#21436249C211yesmaximal, characteristic, complemented
11#21436168C211yesmaximal, characteristic, complemented
12#21436157C211yesmaximal, characteristic, complemented
13#21435704C211yesmaximal, characteristic, complemented
14#21435702C211yesmaximal, characteristic, complemented
15#21435603C211yesmaximal, characteristic, complemented
16#21435601C211yesmaximal, characteristic, complemented
17#21435598C211yesmaximal, characteristic, complemented
18#21435588C211yesmaximal, characteristic, complemented
19#21435559C211yesmaximal, characteristic, complemented
20#21435485C211yesmaximal, characteristic, complemented
21#21435210C211yesmaximal, characteristic, complemented
22#21435199C211yesmaximal, characteristic, complemented
23#21435081C211yesmaximal, characteristic, complemented
24#21434287C211yesmaximal, characteristic, complemented
25#21434274C211yesmaximal, characteristic, complemented
26#21434261C211yesmaximal, characteristic, complemented
27#21433609C211yesmaximal, characteristic, complemented
28#21433606C211yesmaximal, characteristic, complemented
29#21433587C211yesmaximal, characteristic, complemented
30#21433264C211yesmaximal, characteristic, complemented
31C59×#3262C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic
33C2×#14273755C2211yescharacteristic
34C2×#14273754C2211yescharacteristic
35C2×#14273751C2211yescharacteristic
36C22×#11745660C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38#16838154—21no—
39#16838149—21no—
40#16838134C2211yescharacteristic, complemented
41#16838124C2211yescharacteristic, complemented
42#16838123C2211yescharacteristic, complemented
43#16838122C2211yescharacteristic, complemented
44#16838118C2211yescharacteristic
45#16838116C2211yescharacteristic
46#16838080—21no—
47#16838079—21no—
48#16838077—21no—
49#16838075—21no—
50Q8×D236C2211yescharacteristic, complemented
51#16838067C2211yescharacteristic, complemented
52#16838065C2211yescharacteristic, complemented
53#16838062—21no—
54#16838062C2211yescharacteristic
55#16838058C2211yescharacteristic
56#16838049C2211yescharacteristic, complemented
57#16838047C2211yescharacteristic, complemented
58#16838045C2211yescharacteristic
59#16838044—21no—
60#16838043C2211yescharacteristic
61#16838036C2211yescharacteristic, complemented
62#16838027—21no—
63#16838026C2211yescharacteristic, complemented
64#16838025—21no—
65#16838024C2211yescharacteristic, complemented
66#16838021—21no—
67#16837991—21no—
68#16837986—21no—
69#16837986—21no—
70#16837978C2211yescharacteristic, complemented
71#16837972C2211yescharacteristic, complemented
72#16837957C2211yescharacteristic, complemented
73#16837949C2211yescharacteristic
74#16837935—21no—
75#16837930C2211yescharacteristic
76#124×D59—21no—
77#124×D59C2211yescharacteristic, complemented
78#16837876C2211yescharacteristic, complemented
79#16837874C2211yescharacteristic, complemented
80C4×#11745689C2211yescharacteristic
81#16837797C2211yescharacteristic, complemented
82#16837795C2211yescharacteristic, complemented
83#16837790C2211yescharacteristic
84#16837788C2211yescharacteristic
85#16837784C2211yescharacteristic, complemented
86#16837783C2211yescharacteristic, complemented
87#16837764C2211yescharacteristic, complemented
88#16837763C2211yescharacteristic, complemented
89#16837760C2211yescharacteristic, complemented
90#16837760C2211yescharacteristic, complemented
91#16837754C2211yescharacteristic, complemented
92#16837751C2211yescharacteristic, complemented
93#16837745C2211yescharacteristic, complemented
94#16837745C2211yescharacteristic, complemented
95#16837745C2211yescharacteristic, complemented
96#16837740C2211yescharacteristic, complemented
97#16837729C2211yescharacteristic, complemented
98#16837723C2211yescharacteristic, complemented
99#16837696C2211yescharacteristic, complemented
100#16837696C2211yescharacteristic, complemented
101#16837696C2211yescharacteristic, complemented
102#16837689C2211yescharacteristic, complemented
103#16837681C2211yescharacteristic, complemented
104#16837679C2211yescharacteristic, complemented
105#16837651C2211yescharacteristic, complemented
106#16837649C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837647C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837642C2211yescharacteristic, complemented
112#16837639C2211yescharacteristic
113#16837627C2211yescharacteristic, complemented
114#16837626C2211yescharacteristic, complemented
115#16837624C2211yescharacteristic, complemented
116#16837622C2211yescharacteristic, complemented
117#16837620C2211yescharacteristic
118#16837620C2211yescharacteristic, complemented
119#16837618C2211yescharacteristic
120#16837618C2211yescharacteristic
121#16837618C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837617C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic
125#16837616C2211yescharacteristic
126#16837615C2211yescharacteristic, complemented
127#16837614C2211yescharacteristic
128#16837614C2211yescharacteristic, complemented
129#16837612C2211yescharacteristic, complemented
130#16837608C2211yescharacteristic, complemented
131#16837608C2211yescharacteristic, complemented
132#16837608C2211yescharacteristic, complemented
133#16837608C2211yescharacteristic, complemented
134#16837607C2211yescharacteristic, complemented
135#16837606C2211yescharacteristic, complemented
136#16837605C2211yescharacteristic, complemented
137#16837601C2211yescharacteristic, complemented
138#16837601C2211yescharacteristic, complemented
139#16837567C2211yescharacteristic
140#16837567C2211yescharacteristic
141#16837562C2211yescharacteristic, complemented
142#16837561C2211yescharacteristic, complemented
143#16837557C2211yescharacteristic, complemented
144#16837556C2211yescharacteristic, complemented
145#16837554C2211yescharacteristic, complemented
146#16837552C2211yescharacteristic, complemented
147#16837548C2211yescharacteristic
148#16837545C2211yescharacteristic
149#16837542C2211yescharacteristic, complemented
150#16837542C2211yescharacteristic, complemented
151#16837540C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic
154#16837537C2211yescharacteristic, complemented
155#16837535C2211yescharacteristic
156#16837534C2211yescharacteristic, complemented
157#16837531C2211yescharacteristic, complemented
158#16837529C2211yescharacteristic, complemented
159#16837512C2211yescharacteristic, complemented
160#16837511C2211yescharacteristic, complemented
161#16837506C2211yescharacteristic, complemented
162#16837506C2211yescharacteristic, complemented
163#16837501C2211yescharacteristic, complemented
164#16837501C2211yescharacteristic, complemented
165#16837501C2211yescharacteristic, complemented
166#16837500C2211yescharacteristic, complemented
167#16837493C2211yescharacteristic, complemented
168C4×#11745671C2211yescharacteristic, complemented
169#16837484C2211yescharacteristic
170C4×#11745669C2211yescharacteristic
171#16837479C2211yescharacteristic, complemented
172#16837478C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175#16837472C2211yescharacteristic, complemented
176#16837471C2211yescharacteristic, complemented
177#16837463C2211yescharacteristic, complemented
178#16837462C2211yescharacteristic, complemented
179#16837458C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837412C2211yescharacteristic, complemented
183#16837409C2211yescharacteristic, complemented
184#16837409C2211yescharacteristic, complemented
185#16837405C2211yescharacteristic, complemented
186#16837399C2211yescharacteristic, complemented
187#16837395C2211yescharacteristic, complemented
188C59×#542C2211yescharacteristic, complemented
189C59×#542C2211yescharacteristic, complemented
190C59×#477C2211yescharacteristic, complemented
191C59×#477C2211yescharacteristic, complemented
192C59×#474C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#467C2211yescharacteristic, complemented
197C59×#466C2211yescharacteristic
198C59×#464C2211yescharacteristic, complemented
199C59×#464C2211yescharacteristic, complemented
200C59×#463C2211yescharacteristic, complemented
201C59×#463C2211yescharacteristic, complemented
202C59×#424C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C22×Dic118C2311yescharacteristic
208C2×Q8×D59—21no—
209C2×Q8×D59C2311yescharacteristic
210C2×Q8×D59C2311yescharacteristic
211C22×D236C2311yescharacteristic
212C2×D4×D59—21no—
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215#14273759—42no—
216#14273755—42no—
217#14273754—42no—
218#14273751—42no—
219C2×#11745672C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745660—42no—
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745660C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235SD16×D59—42no—
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244C2×C8×D59C2311yescharacteristic
245#14273727—21no—
246#14273727C2311yescharacteristic
247#14273727C2311yescharacteristic
248#14273726—21no—
249#14273726C2311yescharacteristic
250#14273726C2311yescharacteristic
251#14273725C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273722—21no—
254#14273722—21no—
255#14273722—21no—
256#14273722D411yescharacteristic
257#14273721—21no—
258#14273721—21no—
259#14273720—21no—
260#14273720—21no—
261#14273720—21no—
262#14273720D411yescharacteristic
263#14273718—21no—
264#14273717D411yescharacteristic
265#14273716—21no—
266#14273716—21no—
267#14273716—21no—
268#14273716C2311yescharacteristic
269#14273716C2311yescharacteristic
270#14273715—21no—
271#14273715C2311yescharacteristic
272#14273715C2311yescharacteristic
273#14273714—21no—
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#14273713—21no—
284#14273713D411yescharacteristic
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712D411yescharacteristic
289#14273711—21no—
290#14273711—21no—
291#14273711—21no—
292#14273711—21no—
293#14273709—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709D411yescharacteristic
299#14273707—21no—
300#14273707—21no—
301#14273707—21no—
302#14273707—21no—
303#14273707C2311yescharacteristic
304#14273707C2311yescharacteristic
305#14273707C2311yescharacteristic
306#14273706—21no—
307#14273705—21no—
308#14273705—21no—
309#14273705—21no—
310#14273705—21no—
311#14273705—21no—
312#14273705—21no—
313#14273705D411yescharacteristic
314#14273704—21no—
315#14273704—21no—
316#14273704—21no—
317#14273704—21no—
318#14273703—21no—
319#14273703—21no—
320#14273703—21no—
321#14273703C2311yescharacteristic
322#14273702—21no—
323#14273702—21no—
324#14273702C2311yescharacteristic
325#14273702C2311yescharacteristic
326#14273702C2311yescharacteristic
327#14273701—21no—
328#14273700—21no—
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700D411yescharacteristic
333#14273699—21no—
334#14273699—21no—
335#14273698—21no—
336#14273698C2311yescharacteristic
337#14273697—21no—
338#14273697—21no—
339#14273697—21no—
340#14273697—21no—
341#14273695—21no—
342#14273695—21no—
343Q8×Dic59—21no—
344Q8×Dic59C2311yescharacteristic
345C4×Dic118C2311yescharacteristic
346#14273692—21no—
347#14273692C2311yescharacteristic
348#14273692C2311yescharacteristic
349#14273692C2311yescharacteristic
350C4×D236—21no—
351C4×D236—21no—
352C4×D236C2311yescharacteristic
353C4×D236C2311yescharacteristic
354C4×D236C2311yescharacteristic
355C4×D236C2311yescharacteristic
356C4×D236C2311yescharacteristic
357D4×Dic59—21no—
358D4×Dic59C2311yescharacteristic
359#14273689—21no—
360#14273689—21no—
361#14273689—21no—
362#14273689—21no—
363#14273689C2311yescharacteristic
364#14273689C2311yescharacteristic
365#14273689C2311yescharacteristic
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59C2311yescharacteristic
369C4×C22⋊D59C2311yescharacteristic
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373#14273686—21no—
374#14273686C2311yescharacteristic
375#14273685—21no—
376#14273685—21no—
377#14273685—21no—
378#14273685C2311yescharacteristic
379#14273685C2311yescharacteristic
380#14273684—21no—
381#14273684C2311yescharacteristic
382#14273683—21no—
383C2×(C2×D59)⋊C4—21no—
384C2×(C2×D59)⋊C4—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—
393C42×D59—21no—
394C42×D59C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400C4⋊(C59⋊C8)C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429C22⋊(C59⋊C8)C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435#14273638C2311yescharacteristic
436#14273637C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C4×C59⋊C8C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×Q16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×M16×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447C4⋊Q8×C59C2311yescharacteristic
448C4⋊Q8×C59C2311yescharacteristic
449#126×C59—21no—
450#126×C59—21no—
451#124×C59—21no—
452#124×C59—21no—
453#124×C59C2311yescharacteristic
454#124×C59C2311yescharacteristic
455#123×C59—21no—
456#123×C59—21no—
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467#117×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#107×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C2×Q8×C59—21no—
488C2×Q8×C59—21no—
489C2×Q8×C59C2411yescharacteristic
490C2×Q8×C59C2411yescharacteristic
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59C2411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59C2411yescharacteristic
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59C2×D411yescharacteristic
506C2×C22⋊D59C2×D411yescharacteristic
507C22×Dic59—21no—
508C22×Dic59—21no—
509C22×Dic59—21no—
510#11745689—22no—
511#11745689—41no—
512Q8×D59—41no—
513Q8×D59—41no—
514Q8×D59—41no—
515Q8×D59—41no—
516Q8×D59—82no—
517#11745687—41no—
518#11745687—41no—
519D4×D59—22no—
520D4×D59—41no—
521D4×D59—41no—
522D4×D59—41no—
523D4×D59—82no—
524#11745685—41no—
525#11745685—41no—
526#11745685—82no—
527C2×D236—22no—
528C2×D236—21no—
529C2×D236—21no—
530C2×D236—21no—
531C2×D236—21no—
532C2×D236—21no—
533C2×D236—41no—
534C2×D236C2×D411yescharacteristic
535C2×D236C2411yescharacteristic
536C2×D236C2411yescharacteristic
537C2×D236C2411yescharacteristic
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59C2×D411yescharacteristic
550C2×C4×D59C2×D411yescharacteristic
551C2×C4×D59C2411yescharacteristic
552C2×C4×D59C2411yescharacteristic
553C2×Dic118—21no—
554C2×Dic118—21no—
555C2×Dic118—21no—
556C2×Dic118—21no—
557C2×Dic118—21no—
558C2×Dic118—41no—
559C2×Dic118—41no—
560C2×Dic118C2×D411yescharacteristic
561C2×Dic118C2411yescharacteristic
562C2×Dic118C2411yescharacteristic
563C2×Dic118C2411yescharacteristic
564Q16×C59—41no—
565SD16×C59—41no—
566SD16×C59—41no—
567D8×C59—41no—
568M16×C59—41no—
569C2×C8×C59—41no—
570C2×C8×C59C2411yescharacteristic
571C2×C8×C59C2411yescharacteristic
572C2×C8×C59C2411yescharacteristic
573C2×C8×C59C2411yescharacteristic
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59C2×D411yescharacteristic
581C4⋊C4×C59C2×D411yescharacteristic
582C4⋊C4×C59C2411yescharacteristic
583C4⋊C4×C59C2411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
585C4⋊C4×C59C2411yescharacteristic
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59C2×D411yescharacteristic
597C22⋊C4×C59C2×D411yescharacteristic
598C42×C59—21no—
599C42×C59—21no—
600C42×C59C2411yescharacteristic
601C42×C59C2411yescharacteristic
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59C2×D411yescharacteristic
610C22⋊Dic59C2×D411yescharacteristic
611#11745672—41no—
612#11745672—41no—
613#11745672—41no—
614#11745671—22no—
615#11745671—41no—
616#11745671—41no—
617#11745670—41no—
618#11745670—41no—
619#11745670—41no—
620#11745669—22no—
621#11745669—41no—
622#11745669—41no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4C2×D411yescharacteristic
648(C2×D59)⋊C4C2×D411yescharacteristic
649(C2×D59)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652(C2×D59)⋊C4C2×D411yescharacteristic
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
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⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
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×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C2×C59⋊C8C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694D472—22no—
695D472—41no—
696#11745660—22no—
697#11745660—22no—
698#11745660—22no—
699#11745660—41no—
700#11745660—41no—
701#11745660—41no—
702#11745659—41no—
703#11745659—41no—
704#11745659—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59C22×D411yescharacteristic
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—42no—
713C22×D59—42no—
714C22×D59—42no—
715C22×D59—81no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59C22×D411yescharacteristic
722C22×D59C22×D411yescharacteristic
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—81no—
728Q8×C59—81no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—81no—
734D4×C59—81no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—81no—
744C2×C4×C59—81no—
745C2×C4×C59C22×D411yescharacteristic
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C2511yescharacteristic
751C22⋊D59—41no—
752C22⋊D59—41no—
753C22⋊D59—42no—
754C22⋊D59—42no—
755C22⋊D59—81no—
756C22⋊D59—81no—
757C22⋊D59—81no—
758C22⋊D59—81no—
759C22⋊D59—81no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—81no—
766C2×Dic59—81no—
767C2×Dic59—81no—
768C2×Dic59C22×D411yescharacteristic
769C2×Dic59C22×D411yescharacteristic
770C2×Dic59C22×D411yescharacteristic
771C2×Dic59C22×D411yescharacteristic
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774D236—21no—
775D236—21no—
776D236—21no—
777D236—21no—
778D236—21no—
779D236—41no—
780D236—42no—
781D236—42no—
782D236—81no—
783D236—81no—
784D236—81no—
785D236H(5,𝔽2)12yes—
786C4×D59—21no—
787C4×D59—21no—
788C4×D59—21no—
789C4×D59—21no—
790C4×D59—41no—
791C4×D59—41no—
792C4×D59—42no—
793C4×D59—42no—
794C4×D59—81no—
795C4×D59—81no—
796C4×D59—81no—
797C4×D59—81no—
798C4×D59—81no—
799C4×D59—81no—
800C4×D59—81no—
801C4×D59—81no—
802C4×D59—81no—
803Dic118—21no—
804Dic118—21no—
805Dic118—21no—
806Dic118—21no—
807Dic118—21no—
808Dic118—21no—
809Dic118—41no—
810Dic118—42no—
811Dic118—81no—
812Dic118—81no—
813Dic118—81no—
814Dic118—81no—
815C8×C59—21no—
816C8×C59—21no—
817C8×C59—21no—
818C8×C59—21no—
819C59⋊C8—21no—
820C59⋊C8—21no—
821C59⋊C8—21no—
822C59⋊C8—21no—
823#62087—591nomaximal, Sylow
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59C23×D411yescharacteristic
834C2×D59—21no—
835C2×D59—21no—
836C2×D59—21no—
837C2×D59—21no—
838C2×D59—21no—
839C2×D59—21no—
840C2×D59—22no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—162no—
850C2×D59—162no—
851C2×D59—162no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59C2×H(5,𝔽2)11yescharacteristic
864C4×C59#58511yescharacteristic
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—21no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876#3561—591no—
877#3514—591no—
878#3401—591no—
879#3401—591no—
880#3367—591no—
881#3367—591no—
882#3329—591no—
883#3329—591no—
884#3319—591no—
885#3319—591no—
886#3313—591no—
887#3313—591no—
888#3273—591no—
889#3273—591no—
890#3266—591no—
891#3266—591no—
892#3265—591no—
893#3265—591no—
894#3262—591no—
895#3262D5911yescharacteristic, complemented
896#3254—591no—
897#3225—591no—
898#3225—591no—
899#3213—591no—
900#3118—591no—
901#3118—591no—
902#3116—591no—
903#3042—591no—
904#3042—591no—
905#3040—591no—
906#2995—591no—
907C2×C59—41no—
908C2×C59—81no—
909C2×C59—81no—
910C2×C59#348811yescharacteristic
911C2×C59#358511yescharacteristic
912C2×C59#358611yescharacteristic
913D59—41no—
914D59—41no—
915D59—42no—
916D59—81no—
917D59—81no—
918C2×#137—591no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)—591no—
921C2×AGL(1,ℤ/8)—591no—
922C22×SD16—591no—
923C22×SD16—591no—
924#563—1181no—
925#562—1181no—
926#559—591no—
927#556—591no—
928#556—591no—
929#556—591no—
930#555—591no—
931#555—591no—
932#551—1181no—
933#551—1181no—
934#551—1181no—
935#551—1181no—
936D4×Q8—591no—
937D4×Q8—591no—
938D4×Q8—591no—
939#548—591no—
940#548—591no—
941#548—1181no—
942#546—591no—
943#546—591no—
944#546—591no—
945#546—591no—
946#546—1181no—
947D42—591no—
948#543—1181no—
949#542—591no—
950#542—591no—
951#542—1181no—
952#542—1181no—
953#542C2×D5911yescharacteristic, complemented
954#542C2×D5911yescharacteristic, complemented
955#538—1181no—
956#538—1181no—
957#538—1181no—
958#536—591no—
959#536—591no—
960#533—591no—
961#532—591no—
962#529—591no—
963#529—1181no—
964C2×#124—591no—
965C2×#124—1181no—
966#518—591no—
967#518—591no—
968C4×#41—591no—
969#497—591no—
970#497—591no—
971#496—591no—
972#496—591no—
973#495—591no—
974#495—591no—
975#489—591no—
976#489—591no—
977#489—591no—
978#489—591no—
979#487—591no—
980#487—591no—
981#485—591no—
982#485—591no—
983#485—591no—
984#485—591no—
985#482—591no—
986#482—591no—
987#477—591no—
988#477—591no—
989#477—591no—
990#477C2×D5911yescharacteristic, complemented
991#477C2×D5911yescharacteristic, complemented
992#476—591no—
993#474—591no—
994#474—591no—
995#474C2×D5911yescharacteristic, complemented
996#474C2×D5911yescharacteristic, complemented
997#468—591no—
998#468—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468C2×D5911yescharacteristic, complemented
1004#468C2×D5911yescharacteristic, complemented
1005#467—591no—
1006#467C2×D5911yescharacteristic, complemented
1007#466—591no—
1008#466C2×D5911yescharacteristic
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464C2×D5911yescharacteristic, complemented
1014#464C2×D5911yescharacteristic, complemented
1015#463—591no—
1016#463—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463C2×D5911yescharacteristic, complemented
1028#463C2×D5911yescharacteristic, complemented
1029#462—591no—
1030#461—591no—
1031#461—591no—
1032#461—591no—
1033#461—591no—
1034#461—591no—
1035#461—591no—
1036#461—591no—
1037#460—591no—
1038#460—591no—
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#452—591no—
1043#451—591no—
1044#451—591no—
1045#450—591no—
1046#450—591no—
1047#449—591no—
1048#449—591no—
1049#448—591no—
1050#448—591no—
1051#448—591no—
1052#448—591no—
1053#447—591no—
1054#447—591no—
1055#447—591no—
1056#447—591no—
1057#446—591no—
1058#446—591no—
1059#442—591no—
1060#442—591no—
1061#441—591no—
1062#441—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440—591no—
1067C4×SD16—591no—
1068C4×SD16—591no—
1069C4×D8—591no—
1070C4×D8—591no—
1071#436—591no—
1072#436—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#435—591no—
1077#433—591no—
1078#433—591no—
1079#432—591no—
1080#424—591no—
1081#424C2×D5911yescharacteristic, complemented
1082#423—591no—
1083#419—591no—
1084#419—591no—
1085#419—591no—
1086#418—591no—
1087#416—591no—
1088#416—591no—
1089C59#6208711yescharacteristic, complemented, Sylow
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—1181no—
1094C22×Q8—591no—
1095C22×Q8—591no—
1096C22×Q8—591no—
1097C22×Q8—1181no—
1098C22×D4—591no—
1099C22×D4—591no—
1100C22×D4—591no—
1101C22×D4—1181no—
1102#137—2362no—
1103AGL(1,ℤ/8)—2362no—
1104AGL(1,ℤ/8)—2362no—
1105AGL(1,ℤ/8)—2362no—
1106C2×Q16—591no—
1107C2×Q16—591no—
1108C2×Q16—591no—
1109C2×Q16C22×D5911yescharacteristic
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—591no—
1116C2×SD16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—2362no—
1123C2×SD16—2362no—
1124C2×SD16C22×D5911yescharacteristic
1125C2×SD16C22×D5911yescharacteristic
1126C2×D8—591no—
1127C2×D8—591no—
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8—591no—
1131C2×D8C22×D5911yescharacteristic
1132C2×M16—591no—
1133C2×M16—591no—
1134C2×M16—591no—
1135C2×M16C22×D5911yescharacteristic
1136C22×C8—591no—
1137C22×C8C22×D5911yescharacteristic
1138C4⋊Q8—591no—
1139C4⋊Q8—591no—
1140C4⋊Q8—591no—
1141C4⋊Q8—591no—
1142C4⋊Q8—591no—
1143C4⋊Q8—1181no—
1144C4⋊Q8—1181no—
1145C4⋊Q8C22×D5911yescharacteristic
1146C4⋊Q8C22×D5911yescharacteristic
1147#127—591no—
1148#126—21no—
1149#126—21no—
1150#126—591no—
1151#126—591no—
1152#126—1181no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#125—591no—
1161#125—1181no—
1162#124—21no—
1163#124—21no—
1164#124—591no—
1165#124—591no—
1166#124—591no—
1167#124—591no—
1168#124—591no—
1169#124—591no—
1170#124—591no—
1171#124—1181no—
1172#124—1181no—
1173#124—1181no—
1174#124—1181no—
1175#124—1181no—
1176#124—1181no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124C22×D5911yescharacteristic
1185#124C22×D5911yescharacteristic
1186#123—21no—
1187#123—21no—
1188#123—591no—
1189#123—591no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202C22⋊Q8—21no—
1203C22⋊Q8—21no—
1204C22⋊Q8—591no—
1205C22⋊Q8—591no—
1206C22⋊Q8—591no—
1207C22⋊Q8—591no—
1208C22⋊Q8—591no—
1209C22⋊Q8—1181no—
1210C22⋊Q8—1181no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8—1181no—
1225C22⋊Q8—1181no—
1226C22⋊Q8—1181no—
1227C22⋊Q8C22×D5911yescharacteristic
1228C22⋊Q8C22×D5911yescharacteristic
1229#121—591no—
1230#121—591no—
1231#121—591no—
1232#121—591no—
1233#121—591no—
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#121C22×D5911yescharacteristic
1245#121C22×D5911yescharacteristic
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—1181no—
1258C4×Q8—1181no—
1259C4×Q8C22×D5911yescharacteristic
1260C4×Q8C22×D5911yescharacteristic
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—1181no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4C22×D5911yescharacteristic
1285C4×D4C22×D5911yescharacteristic
1286#117—591no—
1287#117—591no—
1288#117—591no—
1289#117—591no—
1290#117—1181no—
1291#117—1181no—
1292#117—1181no—
1293#117—1181no—
1294#117—1181no—
1295#117—1181no—
1296#117C22×D5911yescharacteristic
1297C2×C22⋊C4—1181no—
1298C2×C22⋊C4—1181no—
1299C2×C22⋊C4—1181no—
1300C2×C22⋊C4—1181no—
1301C2×C22⋊C4—1181no—
1302C2×C22⋊C4—1181no—
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C42—591no—
1308C2×C42—1181no—
1309#107—591no—
1310#107—591no—
1311#107C22×D5911yescharacteristic
1312#107C22×D5911yescharacteristic
1313#107C22×D5911yescharacteristic
1314#107C22×D5911yescharacteristic
1315#106—591no—
1316#106—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8C22×D5911yescharacteristic
1324C4⋊C8C22×D5911yescharacteristic
1325C4⋊C8C22×D5911yescharacteristic
1326C4⋊C8C22×D5911yescharacteristic
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#103C22×D5911yescharacteristic
1342#103C22×D5911yescharacteristic
1343#103C22×D5911yescharacteristic
1344#103C22×D5911yescharacteristic
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102C22×D5911yescharacteristic
1356#102C22×D5911yescharacteristic
1357#102C22×D5911yescharacteristic
1358#102C22×D5911yescharacteristic
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363C22⋊C8—591no—
1364C22⋊C8—591no—
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368#97—591no—
1369C4×C8—591no—
1370C4×C8—591no—
1371C24—1181no—
1372C24—1181no—
1373C24—1181no—
1374#41—1182no—
1375#41—4722no—
1376#41—2361no—
1377#41—2361no—
1378#41—2361no—
1379#41—2361no—
1380#41—2361no—
1381C2×Q8—21no—
1382C2×Q8—21no—
1383C2×Q8—591no—
1384C2×Q8—591no—
1385C2×Q8—591no—
1386C2×Q8—591no—
1387C2×Q8—1181no—
1388C2×Q8—1181no—
1389C2×Q8—1181no—
1390C2×Q8—1181no—
1391C2×Q8—1181no—
1392C2×Q8—4722no—
1393C2×Q8—2361no—
1394C2×Q8—2361no—
1395C2×Q8—2361no—
1396C2×Q8—2361no—
1397C2×Q8—2361no—
1398C2×Q8—2361no—
1399C2×Q8C23×D5911yescharacteristic
1400C2×Q8C23×D5911yescharacteristic
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—591no—
1404C2×D4—591no—
1405C2×D4—591no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—1182no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1182no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—4722no—
1424C2×D4—2361no—
1425C2×D4—2361no—
1426C2×D4—2361no—
1427C2×D4—2361no—
1428C2×D4C23×D5911yescharacteristic
1429C2×D4C23×D5911yescharacteristic
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—591no—
1433C22×C4—591no—
1434C22×C4—591no—
1435C22×C4—591no—
1436C22×C4—1181no—
1437C22×C4—1181no—
1438C22×C4—1181no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4C23×D5911yescharacteristic
1451Q16—41no—
1452Q16—2361no—
1453Q16—2361no—
1454Q16—2361no—
1455SD16—41no—
1456SD16—41no—
1457SD16—1182no—
1458SD16—1182no—
1459SD16—1182no—
1460SD16—1182no—
1461SD16—2361no—
1462SD16—2361no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469D8—41no—
1470D8—1182no—
1471D8—1182no—
1472D8—2361no—
1473D8—2361no—
1474D8—2361no—
1475M16—41no—
1476M16—2361no—
1477M16—2361no—
1478M16—2361no—
1479C2×C8—41no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—591no—
1483C2×C8—591no—
1484C2×C8—2361no—
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C2×C8C23×D5911yescharacteristic
1488C2×C8C23×D5911yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—591no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—591no—
1500C4⋊C4—591no—
1501C4⋊C4—591no—
1502C4⋊C4—591no—
1503C4⋊C4—591no—
1504C4⋊C4—591no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4D4×D5911yescharacteristic
1522C4⋊C4D4×D5911yescharacteristic
1523C4⋊C4C23×D5911yescharacteristic
1524C4⋊C4C23×D5911yescharacteristic
1525C4⋊C4C23×D5911yescharacteristic
1526C4⋊C4C23×D5911yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—591no—
1538C22⋊C4—591no—
1539C22⋊C4—591no—
1540C22⋊C4—591no—
1541C22⋊C4—591no—
1542C22⋊C4—591no—
1543C22⋊C4—591no—
1544C22⋊C4—591no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4D4×D5911yescharacteristic
1577C22⋊C4D4×D5911yescharacteristic
1578C42—21no—
1579C42—21no—
1580C42—591no—
1581C42—591no—
1582C42—591no—
1583C42—591no—
1584C42—1181no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42—1181no—
1591C42C23×D5911yescharacteristic
1592C42C23×D5911yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—591no—
1596C23—591no—
1597C23—1181no—
1598C23—1181no—
1599C23—1181no—
1600C23—4721no—
1601C23—4721no—
1602C23—4721no—
1603C23—4721no—
1604C23—4721no—
1605C23—4721no—
1606C23—2362no—
1607C23—2362no—
1608C23—2362no—
1609C23C2×D4×D5911yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—81no—
1615Q8—81no—
1616Q8—1181no—
1617Q8—1181no—
1618Q8—1181no—
1619Q8—1181no—
1620Q8—1181no—
1621Q8—1181no—
1622Q8—4721no—
1623Q8—4721no—
1624Q8—4721no—
1625Q8—4721no—
1626Q8—2361no—
1627Q8—2362no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—81no—
1633D4—81no—
1634D4—592no—
1635D4—1181no—
1636D4—1181no—
1637D4—1181no—
1638D4—1181no—
1639D4—1181no—
1640D4—4721no—
1641D4—4721no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—2361no—
1649D4—2362no—
1650D4—2362no—
1651D4—2361no—
1652D4—2361no—
1653D4—2362no—
1654D4—2362no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—591no—
1666C2×C4—591no—
1667C2×C4—591no—
1668C2×C4—591no—
1669C2×C4—591no—
1670C2×C4—591no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—4721no—
1681C2×C4—4721no—
1682C2×C4—4721no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4—4721no—
1689C2×C4—4721no—
1690C2×C4—4721no—
1691C2×C4—4721no—
1692C2×C4—2361no—
1693C2×C4—2361no—
1694C2×C4—2362no—
1695C2×C4—2362no—
1696C2×C4C2×D4×D5911yescharacteristic
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C2×D4×D5911yescharacteristic
1700C2×C4C2×D4×D5911yescharacteristic
1701C2×C4C24×D5911yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1181no—
1707C8—1181no—
1708C8—1181no—
1709C8—1181no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—1181no—
1720C22—1181no—
1721C22—1182no—
1722C22—1181no—
1723C22—1181no—
1724C22—1181no—
1725C22—1181no—
1726C22—9442no—
1727C22—9442no—
1728C22—9442no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22C22×D4×D5911yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—1181no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—1181no—
1754C4—1181no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4H(5,𝔽2)×D5911yescharacteristic
1761C4#1683823911yescharacteristic
1762C2—41no—
1763C2—81no—
1764C2—81no—
1765C2—4721no—
1766C2—4721no—
1767C2—2361no—
1768C2—2361no—
1769C2—2362no—
1770C2#2143776011yescharacteristic
1771C2#2143887111yescharacteristic
1772C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3262C2
socleC22×C59C23×D4
hypercenter#3262D59
hypocenterC59#62087
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3262

Complements

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

NH ≅ G/Ntype
1. #21438667C2semidirect
2. #21438055C2semidirect
3. #21437166C2semidirect
4. #21437159C2semidirect
5. #21436817C2semidirect
6. #21436813C2semidirect
7. #21436387C2semidirect
8. #21436385C2semidirect
9. #21436258C2semidirect
10. #21436249C2semidirect
11. #21436168C2semidirect
12. #21436157C2semidirect
13. #21435704C2semidirect
14. #21435702C2semidirect
15. #21435603C2semidirect
16. #21435601C2semidirect
17. #21435598C2semidirect
18. #21435588C2semidirect
19. #21435559C2semidirect
20. #21435485C2semidirect
21. #21435210C2semidirect
22. #21435199C2semidirect
23. #21435081C2semidirect
24. #21434287C2semidirect
25. #21434274C2semidirect
26. #21434261C2semidirect
27. #21433609C2semidirect
28. #21433606C2semidirect
29. #21433587C2semidirect
30. #21433264C2semidirect
31. C59×#3262C2semidirect
36. C22×#11745660C22semidirect
37. C2×SD16×D59C22semidirect
40. #16838134C22semidirect
41. #16838124C22semidirect
42. #16838123C22semidirect
43. #16838122C22semidirect
50. Q8×D236C22semidirect
51. #16838067C22semidirect
52. #16838065C22semidirect
56. #16838049C22semidirect
57. #16838047C22semidirect
61. #16838036C22semidirect
63. #16838026C22semidirect
65. #16838024C22semidirect
70. #16837978C22semidirect
71. #16837972C22semidirect
72. #16837957C22semidirect
77. #124×D59C22semidirect
78. #16837876C22semidirect
79. #16837874C22semidirect
81. #16837797C22semidirect
82. #16837795C22semidirect
85. #16837784C22semidirect
86. #16837783C22semidirect
87. #16837764C22semidirect
88. #16837763C22semidirect
89. #16837760C22semidirect
90. #16837760C22semidirect
91. #16837754C22semidirect
92. #16837751C22semidirect
93. #16837745C22semidirect
94. #16837745C22semidirect
95. #16837745C22semidirect
96. #16837740C22semidirect
97. #16837729C22semidirect
98. #16837723C22semidirect
99. #16837696C22semidirect
100. #16837696C22semidirect
101. #16837696C22semidirect
102. #16837689C22semidirect
103. #16837681C22semidirect
104. #16837679C22semidirect
105. #16837651C22semidirect
106. #16837649C22semidirect
107. #16837649C22semidirect
108. #16837649C22semidirect
109. #16837647C22semidirect
110. #16837647C22semidirect
111. #16837642C22semidirect
113. #16837627C22semidirect
114. #16837626C22semidirect
115. #16837624C22semidirect
116. #16837622C22semidirect
118. #16837620C22semidirect
121. #16837618C22semidirect
122. #16837618C22semidirect
123. #16837617C22semidirect
126. #16837615C22semidirect
128. #16837614C22semidirect
129. #16837612C22semidirect
130. #16837608C22semidirect
131. #16837608C22semidirect
132. #16837608C22semidirect
133. #16837608C22semidirect
134. #16837607C22semidirect
135. #16837606C22semidirect
136. #16837605C22semidirect
137. #16837601C22semidirect
138. #16837601C22semidirect
141. #16837562C22semidirect
142. #16837561C22semidirect
143. #16837557C22semidirect
144. #16837556C22semidirect
145. #16837554C22semidirect
146. #16837552C22semidirect
149. #16837542C22semidirect
150. #16837542C22semidirect
151. #16837540C22semidirect
152. #16837539C22semidirect
154. #16837537C22semidirect
156. #16837534C22semidirect
157. #16837531C22semidirect
158. #16837529C22semidirect
159. #16837512C22semidirect
160. #16837511C22semidirect
161. #16837506C22semidirect
162. #16837506C22semidirect
163. #16837501C22semidirect
164. #16837501C22semidirect
165. #16837501C22semidirect
166. #16837500C22semidirect
167. #16837493C22semidirect
168. C4×#11745671C22semidirect
171. #16837479C22semidirect
172. #16837478C22semidirect
173. #16837473C22semidirect
174. #16837473C22semidirect
175. #16837472C22semidirect
176. #16837471C22semidirect
177. #16837463C22semidirect
178. #16837462C22semidirect
179. #16837458C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
182. #16837412C22semidirect
183. #16837409C22semidirect
184. #16837409C22semidirect
185. #16837405C22semidirect
186. #16837399C22semidirect
187. #16837395C22semidirect
188. C59×#542C22semidirect
189. C59×#542C22semidirect
190. C59×#477C22semidirect
191. C59×#477C22semidirect
192. C59×#474C22semidirect
193. C59×#474C22semidirect
194. C59×#468C22semidirect
195. C59×#468C22semidirect
196. C59×#467C22semidirect
198. C59×#464C22semidirect
199. C59×#464C22semidirect
200. C59×#463C22semidirect
201. C59×#463C22semidirect
202. C59×#424C22semidirect
895. #3262D59semidirect
953. #542C2×D59semidirect
954. #542C2×D59semidirect
990. #477C2×D59semidirect
991. #477C2×D59semidirect
995. #474C2×D59semidirect
996. #474C2×D59semidirect
1003. #468C2×D59semidirect
1004. #468C2×D59semidirect
1006. #467C2×D59semidirect
1013. #464C2×D59semidirect
1014. #464C2×D59semidirect
1027. #463C2×D59semidirect
1028. #463C2×D59semidirect
1081. #424C2×D59semidirect
1089. C59#62087semidirect

Maximal subgroups

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

subgroupindex
#214386672
#214380552
#214371662
#214371592
#214368172
#214368132
#214363872
#214363852
#214362582
#214362492
#214361682
#214361572
#214357042
#214357022
#214356032
#214356012
#214355982
#214355882
#214355592
#214354852
#214352102
#214351992
#214350812
#214342872
#214342742
#214342612
#214336092
#214336062
#214335872
#214332642
C59×#32622
#6208759