Finite Group Databasebeta

← #29484117

Subgroups — #29484117

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#21438605C211yesmaximal, characteristic, complemented
2#21438077C211yesmaximal, characteristic, complemented
3#21437152C211yesmaximal, characteristic, complemented
4#21437150C211yesmaximal, characteristic, complemented
5#21436856C211yesmaximal, characteristic, complemented
6#21436848C211yesmaximal, characteristic, complemented
7#21436367C211yesmaximal, characteristic, complemented
8#21436365C211yesmaximal, characteristic, complemented
9#21436171C211yesmaximal, characteristic, complemented
10#21436115C211yesmaximal, characteristic, complemented
11#21436113C211yesmaximal, characteristic, complemented
12#21435694C211yesmaximal, characteristic, complemented
13#21435693C211yesmaximal, characteristic, complemented
14#21435648C211yesmaximal, characteristic, complemented
15#21435644C211yesmaximal, characteristic, complemented
16#21435626C211yesmaximal, characteristic, complemented
17#21435617C211yesmaximal, characteristic, complemented
18#21435525C211yesmaximal, characteristic, complemented
19#21435523C211yesmaximal, characteristic, complemented
20#21435485C211yesmaximal, characteristic, complemented
21#21435166C211yesmaximal, characteristic, complemented
22#21435164C211yesmaximal, characteristic, complemented
23#21435100C211yesmaximal, characteristic, complemented
24#21434361C211yesmaximal, characteristic, complemented
25#21434353C211yesmaximal, characteristic, complemented
26#21434245C211yesmaximal, characteristic, complemented
27#21433640C211yesmaximal, characteristic, complemented
28#21433634C211yesmaximal, characteristic, complemented
29#21433587C211yesmaximal, characteristic, complemented
30#21433262C211yesmaximal, characteristic, complemented
31C59×#3314C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic, complemented
33C2×#14273755C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic
35C2×#14273753C2211yescharacteristic, complemented
36C2×#14273749C2211yescharacteristic, complemented
37C2×#14273747C2211yescharacteristic, complemented
38#16838149—21no—
39#16838145—21no—
40#16838135C2211yescharacteristic
41#16838134C2211yescharacteristic
42#16838130C2211yescharacteristic, complemented
43#16838113C2211yescharacteristic, complemented
44#16838102—21no—
45#16838090—21no—
46#16838087C2211yescharacteristic, complemented
47#16838087C2211yescharacteristic, complemented
48#16838086—21no—
49#16838086—21no—
50#16838062C2211yescharacteristic
51#16838059C2211yescharacteristic
52#16838057C2211yescharacteristic, complemented
53#16838054C2211yescharacteristic, complemented
54#16838054C2211yescharacteristic, complemented
55#16838049—21no—
56#16838048C2211yescharacteristic
57#16838042—21no—
58#16838036C2211yescharacteristic
59D4×C22⋊D59C2211yescharacteristic
60#16838025C2211yescharacteristic
61#16838019C2211yescharacteristic
62#16838012C2211yescharacteristic, complemented
63#16838012C2211yescharacteristic, complemented
64#16837998—21no—
65#16837998—21no—
66#16837990—21no—
67#16837988—21no—
68#16837984—21no—
69#16837969C2211yescharacteristic
70#16837966C2211yescharacteristic
71#16837962—21no—
72#16837957C2211yescharacteristic, complemented
73#16837949C2211yescharacteristic
74#16837934—21no—
75#16837934C2211yescharacteristic
76#125×D59—21no—
77#124×D59C2211yescharacteristic
78#16837883C2211yescharacteristic, complemented
79#16837883C2211yescharacteristic, complemented
80C4×#11745689C2211yescharacteristic, complemented
81#16837797C2211yescharacteristic, complemented
82#16837796C2211yescharacteristic, complemented
83#16837795C2211yescharacteristic, complemented
84#16837793C2211yescharacteristic, complemented
85#16837773C2211yescharacteristic
86#16837773C2211yescharacteristic
87#16837765C2211yescharacteristic
88#16837765C2211yescharacteristic
89#16837764C2211yescharacteristic, complemented
90#16837758C2211yescharacteristic, complemented
91#16837755C2211yescharacteristic, complemented
92#16837737C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837715C2211yescharacteristic
96#16837708C2211yescharacteristic, complemented
97#16837707C2211yescharacteristic, complemented
98#16837705C2211yescharacteristic, complemented
99#16837704C2211yescharacteristic, complemented
100#16837696C2211yescharacteristic, complemented
101#16837696C2211yescharacteristic, complemented
102#16837685C2211yescharacteristic, complemented
103#16837681C2211yescharacteristic, complemented
104#16837679C2211yescharacteristic, complemented
105#16837660C2211yescharacteristic, complemented
106#16837658C2211yescharacteristic, complemented
107#16837650C2211yescharacteristic
108#16837649C2211yescharacteristic, complemented
109#16837649C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837647C2211yescharacteristic, complemented
112#16837641C2211yescharacteristic, complemented
113#16837631C2211yescharacteristic
114#16837629C2211yescharacteristic
115#16837627C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837623C2211yescharacteristic, complemented
121#16837623C2211yescharacteristic, complemented
122#16837623C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837620C2211yescharacteristic, complemented
125#16837620C2211yescharacteristic, complemented
126#16837618C2211yescharacteristic, complemented
127#16837616C2211yescharacteristic, complemented
128#16837616C2211yescharacteristic, complemented
129#16837614C2211yescharacteristic, complemented
130#16837611C2211yescharacteristic, complemented
131#16837610C2211yescharacteristic, complemented
132#16837608C2211yescharacteristic, complemented
133#16837607C2211yescharacteristic, complemented
134#16837606C2211yescharacteristic, complemented
135#16837605C2211yescharacteristic, complemented
136#16837601C2211yescharacteristic
137#16837601C2211yescharacteristic
138#16837601C2211yescharacteristic, complemented
139#16837601C2211yescharacteristic, complemented
140#16837600C2211yescharacteristic, complemented
141#16837596C2211yescharacteristic
142#16837596C2211yescharacteristic
143#16837596C2211yescharacteristic, complemented
144#16837566C2211yescharacteristic, complemented
145#16837566C2211yescharacteristic, complemented
146#16837564C2211yescharacteristic, complemented
147#16837562C2211yescharacteristic, complemented
148#16837562C2211yescharacteristic, complemented
149#16837559C2211yescharacteristic, complemented
150#16837559C2211yescharacteristic, complemented
151#16837555C2211yescharacteristic, complemented
152#16837554C2211yescharacteristic
153#16837554C2211yescharacteristic
154#16837553C2211yescharacteristic, complemented
155#16837552C2211yescharacteristic, complemented
156#16837550C2211yescharacteristic, complemented
157#16837549C2211yescharacteristic
158#16837546C2211yescharacteristic, complemented
159#16837545C2211yescharacteristic
160#16837531C2211yescharacteristic, complemented
161#16837530C2211yescharacteristic, complemented
162#16837515C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837505C2211yescharacteristic, complemented
165#16837501C2211yescharacteristic, complemented
166#16837501C2211yescharacteristic, complemented
167#16837500C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169#16837496C2211yescharacteristic, complemented
170#16837494C2211yescharacteristic, complemented
171#16837484C2211yescharacteristic, complemented
172#16837482C2211yescharacteristic, complemented
173#16837478C2211yescharacteristic, complemented
174#16837477C2211yescharacteristic, complemented
175#16837474C2211yescharacteristic, complemented
176#16837473C2211yescharacteristic, complemented
177#16837470C2211yescharacteristic, complemented
178#16837460C2211yescharacteristic, complemented
179#16837460C2211yescharacteristic, complemented
180#16837457C2211yescharacteristic, complemented
181#16837430C2211yescharacteristic, complemented
182#16837428C2211yescharacteristic, complemented
183#16837424C2211yescharacteristic, complemented
184#16837409C2211yescharacteristic, complemented
185#16837405C2211yescharacteristic
186#16837401C2211yescharacteristic, complemented
187C2×#14273647C2211yescharacteristic, complemented
188C59×#554C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic
193C59×#474C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic
195C59×#467C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×C22⋊D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213#14273759—42no—
214#14273755—42no—
215#14273754—42no—
216#14273753—42no—
217#14273749—42no—
218#14273747—42no—
219C2×Dic236C2311yescharacteristic
220C2×Dic236C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745672C2311yescharacteristic
223C2×#11745672C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745660C2311yescharacteristic
228C2×#11745660C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C22×C59⋊C8C2311yescharacteristic
244#14273727C2311yescharacteristic
245#14273726C2311yescharacteristic
246#14273725C2311yescharacteristic
247#14273725C2311yescharacteristic
248#14273723C2311yescharacteristic
249#14273723C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273722—21no—
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#14273719—21no—
262#14273718—21no—
263#14273718—21no—
264#14273718—21no—
265#14273718D411yescharacteristic
266#14273718C2311yescharacteristic
267#14273718C2311yescharacteristic
268#14273717—21no—
269#14273717—21no—
270#14273717—21no—
271#14273717—21no—
272#14273717—21no—
273#14273717—21no—
274#14273716C2311yescharacteristic
275#14273716C2311yescharacteristic
276#14273715C2311yescharacteristic
277#14273714—21no—
278#14273714—21no—
279#14273714D411yescharacteristic
280#14273714C2311yescharacteristic
281#14273714C2311yescharacteristic
282#14273713—21no—
283#14273713—21no—
284#14273713—21no—
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273713—21no—
289#14273712—21no—
290#14273712—21no—
291#14273712—21no—
292#14273711—21no—
293#14273710—21no—
294#14273710—21no—
295#14273710—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273709—21no—
300#14273709—21no—
301#14273709—21no—
302#14273709—21no—
303#14273709D411yescharacteristic
304#14273709D411yescharacteristic
305#14273708—21no—
306#14273707—21no—
307#14273707—21no—
308#14273707D411yescharacteristic
309#14273707C2311yescharacteristic
310#14273707C2311yescharacteristic
311#14273706—21no—
312#14273706C2311yescharacteristic
313#14273706C2311yescharacteristic
314#14273706C2311yescharacteristic
315#14273705—21no—
316#14273704—21no—
317#14273703—21no—
318#14273703—21no—
319#14273703—21no—
320#14273702C2311yescharacteristic
321#14273701—21no—
322#14273701—21no—
323#14273701C2311yescharacteristic
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273700—21no—
330#14273699—21no—
331#14273698—21no—
332#14273698—21no—
333#14273698—21no—
334#14273698—21no—
335#14273698D411yescharacteristic
336#14273698C2311yescharacteristic
337#14273697—21no—
338#14273696—21no—
339#14273696—21no—
340#14273696—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345#14273695—21no—
346Q8×Dic59—21no—
347Q8×Dic59C2311yescharacteristic
348Q8×Dic59C2311yescharacteristic
349C4×Dic118—21no—
350C4×Dic118C2311yescharacteristic
351#14273692C2311yescharacteristic
352#14273692C2311yescharacteristic
353#14273692C2311yescharacteristic
354#14273692C2311yescharacteristic
355#14273692C2311yescharacteristic
356C4×D236—21no—
357C4×D236C2311yescharacteristic
358C4×D236C2311yescharacteristic
359D4×Dic59C2311yescharacteristic
360#14273689—21no—
361#14273689—21no—
362#14273689C2311yescharacteristic
363#14273689C2311yescharacteristic
364#14273689C2311yescharacteristic
365#14273689C2311yescharacteristic
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59C2311yescharacteristic
374C4×C22⋊D59C2311yescharacteristic
375(C22⋊D59)⋊C4—21no—
376#14273686—21no—
377#14273686—21no—
378#14273686C2311yescharacteristic
379#14273686C2311yescharacteristic
380#14273685—21no—
381#14273685—21no—
382#14273685—21no—
383#14273685—21no—
384#14273685C2311yescharacteristic
385C4⋊C4×D59—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59—21no—
388C4⋊C4×D59—21no—
389C4⋊C4×D59—21no—
390C4⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C42×D59—21no—
395C42×D59C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
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#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436#14273638C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C22×D4×C59C2311yescharacteristic
443C2×Q16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×M16×C59C2311yescharacteristic
447C22×C8×C59C2311yescharacteristic
448C4⋊Q8×C59C2311yescharacteristic
449#125×C59—21no—
450#124×C59C2311yescharacteristic
451#123×C59—21no—
452C22⋊Q8×C59—21no—
453C22⋊Q8×C59—21no—
454C22⋊Q8×C59C2311yescharacteristic
455C22⋊Q8×C59C2311yescharacteristic
456C22⋊Q8×C59C2311yescharacteristic
457#121×C59—21no—
458#121×C59C2311yescharacteristic
459#120×C59—21no—
460C4×Q8×C59C2311yescharacteristic
461C4×D4×C59—21no—
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C2×C4⋊C4×C59C2311yescharacteristic
465C2×C4⋊C4×C59C2311yescharacteristic
466C2×C22⋊C4×C59—21no—
467#107×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#107×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×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59C2411yescharacteristic
505C22×C4×C59C2411yescharacteristic
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—82no—
519C2×C22⋊D59C2×D411yescharacteristic
520C2×C22⋊D59C2×D411yescharacteristic
521C22×Dic59—21no—
522#11745689—22no—
523#11745689—41no—
524Q8×D59—41no—
525Q8×D59—41no—
526D4×D59—41no—
527D4×D59—41no—
528D4×D59—82no—
529#11745685—22no—
530#11745685—22no—
531#11745685—41no—
532#11745685—41no—
533#11745685—41no—
534#11745685—41no—
535#11745685—82no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—41no—
540C2×D236—41no—
541C2×D236C2411yescharacteristic
542C2×D236C2411yescharacteristic
543C2×D236C2411yescharacteristic
544C2×C4×D59—21no—
545C2×C4×D59—21no—
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×D59C2×D411yescharacteristic
556C2×C4×D59C2×D411yescharacteristic
557C2×C4×D59C2411yescharacteristic
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118C2×D411yescharacteristic
561C2×Dic118C2411yescharacteristic
562C2×Dic118C2411yescharacteristic
563C2×Dic118C2411yescharacteristic
564Q16×C59—41no—
565SD16×C59—41no—
566SD16×C59—41no—
567M16×C59—41no—
568C2×C8×C59—41no—
569C2×C8×C59C2411yescharacteristic
570C2×C8×C59C2411yescharacteristic
571C2×C8×C59C2411yescharacteristic
572C2×C8×C59C2411yescharacteristic
573C4⋊C4×C59—21no—
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×C59C2411yescharacteristic
582C4⋊C4×C59C2411yescharacteristic
583C4⋊C4×C59C2411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59C2×D411yescharacteristic
593C22⋊C4×C59C2×D411yescharacteristic
594C42×C59—21no—
595C42×C59C2411yescharacteristic
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59C2×D411yescharacteristic
606C22⋊Dic59C2×D411yescharacteristic
607C22⋊Dic59C2×D411yescharacteristic
608C22⋊Dic59C2×D411yescharacteristic
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#11745670—41no—
621#11745669—22no—
622#11745669—22no—
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)⋊C4C2×D411yescharacteristic
641(C2×D59)⋊C4C2×D411yescharacteristic
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59C2×D411yescharacteristic
651C4⋊Dic59C2×D411yescharacteristic
652C4⋊Dic59C2×D411yescharacteristic
653C4⋊Dic59C2×D411yescharacteristic
654C4⋊Dic59C2×D411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
656C4⋊Dic59C2411yescharacteristic
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4C2×D411yescharacteristic
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2411yescharacteristic
687C4×Dic59C2411yescharacteristic
688C4×Dic59C2411yescharacteristic
689#11745664—41no—
690C2×C59⋊C8—41no—
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695Dic236—41no—
696Dic236—41no—
697D472—22no—
698D472—22no—
699#11745660—22no—
700#11745660—41no—
701#11745660—41no—
702#11745660—41no—
703#11745660—41no—
704#11745659—41no—
705#11745659—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—42no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59C22×D411yescharacteristic
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—81no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—41no—
733D4×C59—81no—
734D4×C59—81no—
735D4×C59—81no—
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—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—81no—
747C2×C4×C59—81no—
748C2×C4×C59—81no—
749C2×C4×C59—81no—
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C2511yescharacteristic
755C22⋊D59—41no—
756C22⋊D59—41no—
757C22⋊D59—42no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—81no—
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782D236—21no—
783D236—21no—
784D236—21no—
785D236—21no—
786D236—21no—
787D236—42no—
788D236—42no—
789D236—81no—
790D236H(5,𝔽2)12yes—
791C4×D59—21no—
792C4×D59—21no—
793C4×D59—41no—
794C4×D59—41no—
795C4×D59—42no—
796C4×D59—42no—
797C4×D59—42no—
798C4×D59—42no—
799C4×D59—81no—
800C4×D59—81no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806Dic118—21no—
807Dic118—21no—
808Dic118—21no—
809Dic118—21no—
810Dic118—21no—
811Dic118—21no—
812Dic118—41no—
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#62089—591nomaximal, Sylow
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—21no—
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—162no—
837C22×C59C23×D411yescharacteristic
838C2×D59—21no—
839C2×D59—21no—
840C2×D59—21no—
841C2×D59—22no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—162no—
851C2×D59—162no—
852C4×C59—21no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59C2×H(5,𝔽2)11yescharacteristic
863C4×C59#58511yescharacteristic
864Dic59—21no—
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—21no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876#3558—591no—
877#3515—591no—
878#3400—591no—
879#3400—591no—
880#3370—591no—
881#3370—591no—
882#3327—591no—
883#3327—591no—
884#3314—591no—
885#3314D5911yescharacteristic, complemented
886#3310—591no—
887#3310—591no—
888#3272—591no—
889#3272—591no—
890#3269—591no—
891#3269—591no—
892#3267—591no—
893#3267—591no—
894#3258—591no—
895#3258—591no—
896#3254—591no—
897#3222—591no—
898#3222—591no—
899#3215—591no—
900#3124—591no—
901#3124—591no—
902#3115—591no—
903#3045—591no—
904#3045—591no—
905#3040—591no—
906#2995—591no—
907C2×C59—41no—
908C2×C59—41no—
909C2×C59—81no—
910C2×C59—81no—
911C2×C59#348811yescharacteristic
912C2×C59#358511yescharacteristic
913C2×C59#358611yescharacteristic
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—
922C2×#135—591no—
923C2×#135—591no—
924#562—1181no—
925H(3,𝔽4)—1181no—
926#559—591no—
927#559—591no—
928#557—591no—
929#554—591no—
930#554C2×D5911yescharacteristic, complemented
931#553—1181no—
932#552—591no—
933#552—591no—
934#552—1181no—
935#552—1181no—
936#552—1181no—
937#548—591no—
938#548—591no—
939#547—591no—
940#547—591no—
941#547—591no—
942#546—591no—
943#546—1181no—
944#546—1181no—
945#546C2×D5911yescharacteristic
946D42—591no—
947D42—591no—
948#542—591no—
949#542—591no—
950#541—591no—
951#541—591no—
952#539—1181no—
953#539—1181no—
954#538—1181no—
955#538—1181no—
956#538—1181no—
957#535—591no—
958#535—591no—
959#534—1181no—
960#533—591no—
961#532—591no—
962#529—591no—
963#529—1181no—
964C2×#125—1181no—
965C2×#124—591no—
966#520—591no—
967#520—591no—
968C4×#41—591no—
969#497—591no—
970#497—591no—
971#497—591no—
972#497—591no—
973#492—591no—
974#492—591no—
975#490—591no—
976#490—591no—
977#489—591no—
978#489C2×D5911yescharacteristic, complemented
979#488—591no—
980#488—591no—
981#484—591no—
982#484C2×D5911yescharacteristic, complemented
983#482—591no—
984#482—591no—
985#480—591no—
986#480C2×D5911yescharacteristic
987#479—591no—
988#479—591no—
989#478—591no—
990#478—591no—
991#477—591no—
992#477—591no—
993#475—591no—
994#474—591no—
995#474—591no—
996#474C2×D5911yescharacteristic, complemented
997#470—591no—
998#470—591no—
999#468—591no—
1000#468—591no—
1001#468—591no—
1002#468—591no—
1003#468—591no—
1004#468C2×D5911yescharacteristic
1005#467—591no—
1006#467C2×D5911yescharacteristic, complemented
1007#465—591no—
1008#465—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464—591no—
1015#464—591no—
1016#464—591no—
1017#464—591no—
1018#464C2×D5911yescharacteristic, complemented
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#462—591no—
1026#462—591no—
1027#461—591no—
1028#461—591no—
1029#461—591no—
1030#461—591no—
1031#460—591no—
1032#460—591no—
1033#460—591no—
1034#460—591no—
1035#460—591no—
1036#459—591no—
1037#459—591no—
1038#459—591no—
1039#452—591no—
1040#452—591no—
1041#452—591no—
1042#452—591no—
1043#452—591no—
1044#452C2×D5911yescharacteristic, complemented
1045#451—591no—
1046#451—591no—
1047#450—591no—
1048#450—591no—
1049#450—591no—
1050#450—591no—
1051#450—591no—
1052#450C2×D5911yescharacteristic, complemented
1053#449—591no—
1054#449—591no—
1055#449—591no—
1056#449—591no—
1057#446—591no—
1058#446—591no—
1059#442—591no—
1060#442—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440C2×D5911yescharacteristic, complemented
1067C4×Q16—591no—
1068C4×Q16—591no—
1069C4×D8—591no—
1070C4×D8—591no—
1071#436—591no—
1072#436—591no—
1073#435—591no—
1074#435—591no—
1075#435—591no—
1076#435C2×D5911yescharacteristic, complemented
1077#433—591no—
1078#433—591no—
1079#432—591no—
1080#424—591no—
1081#424—591no—
1082#423—591no—
1083#419—591no—
1084#418—591no—
1085#417—591no—
1086#417C2×D5911yescharacteristic, complemented
1087C2×#102—591no—
1088C2×#102C2×D5911yescharacteristic, complemented
1089C59#6208911yescharacteristic, complemented, Sylow
1090C2×#41—591no—
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—591no—
1094C2×#41—1181no—
1095C2×#41C22×D5911yescharacteristic
1096C22×Q8—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—1181no—
1100C22×D4—1181no—
1101C22×D4C22×D5911yescharacteristic
1102#137—2362no—
1103AGL(1,ℤ/8)—2362no—
1104AGL(1,ℤ/8)—2362no—
1105AGL(1,ℤ/8)—2362no—
1106#135—2362no—
1107#135—2362no—
1108C2×Q16—591no—
1109C2×Q16—591no—
1110C2×Q16—591no—
1111C2×Q16—591no—
1112C2×Q16—591no—
1113C2×Q16C22×D5911yescharacteristic
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—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16C22×D5911yescharacteristic
1127C2×SD16C22×D5911yescharacteristic
1128C2×D8—591no—
1129C2×D8—591no—
1130C2×D8—591no—
1131C2×D8—591no—
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⋊Q8C22×D5911yescharacteristic
1143#127—591no—
1144#127—591no—
1145#127—591no—
1146#126—591no—
1147#126—591no—
1148#126—1181no—
1149#126—1181no—
1150#126—1181no—
1151#126—1181no—
1152#126—1181no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#125—21no—
1157#125—591no—
1158#125—591no—
1159#125—591no—
1160#125—1181no—
1161#125—1181no—
1162#125—1181no—
1163#125—1181no—
1164#125—1181no—
1165#125—1181no—
1166#125—1181no—
1167#125—1181no—
1168#125—1181no—
1169#125—1181no—
1170#124—591no—
1171#124—591no—
1172#124—591no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—1181no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124C22×D5911yescharacteristic
1186#123—21no—
1187#123—591no—
1188#123—591no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
1206C22⋊Q8—591no—
1207C22⋊Q8—591no—
1208C22⋊Q8—591no—
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⋊Q8C22×D5911yescharacteristic
1221C22⋊Q8C22×D5911yescharacteristic
1222C22⋊Q8C22×D5911yescharacteristic
1223#121—21no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121C22×D5911yescharacteristic
1242#120—21no—
1243#120—1181no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×Q8—591no—
1259C4×Q8—591no—
1260C4×Q8—1181no—
1261C4×Q8—1181no—
1262C4×Q8C22×D5911yescharacteristic
1263C4×D4—21no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—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—1181no—
1290#117—1181no—
1291#117—1181no—
1292#117—1181no—
1293#117—1181no—
1294#117—1181no—
1295C2×C4⋊C4—1181no—
1296C2×C4⋊C4—1181no—
1297C2×C4⋊C4—1181no—
1298C2×C4⋊C4—1181no—
1299C2×C4⋊C4—1181no—
1300C2×C4⋊C4—1181no—
1301C2×C4⋊C4C22×D5911yescharacteristic
1302C2×C4⋊C4C22×D5911yescharacteristic
1303C2×C22⋊C4—21no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C42—591no—
1308C2×C42—1181no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#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⋊C8—591no—
1324C4⋊C8—591no—
1325C4⋊C8—591no—
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#103C22×D5911yescharacteristic
1338#103C22×D5911yescharacteristic
1339#103C22×D5911yescharacteristic
1340#103C22×D5911yescharacteristic
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102C22×D5911yescharacteristic
1354#102C22×D5911yescharacteristic
1355#102C22×D5911yescharacteristic
1356#102C22×D5911yescharacteristic
1357#102C22×D5911yescharacteristic
1358#102C22×D5911yescharacteristic
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8—591no—
1362C22⋊C8—591no—
1363C22⋊C8C22×D5911yescharacteristic
1364C22⋊C8C22×D5911yescharacteristic
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368#97C22×D5911yescharacteristic
1369C4×C8—591no—
1370C4×C8—591no—
1371C24—21no—
1372C24—1181no—
1373C24—1181no—
1374#41—41no—
1375#41—41no—
1376#41—1182no—
1377#41—1182no—
1378#41—1182no—
1379#41—4722no—
1380#41—2361no—
1381#41—2361no—
1382#41—2361no—
1383#41—2361no—
1384#41—2361no—
1385C2×Q8—21no—
1386C2×Q8—591no—
1387C2×Q8—591no—
1388C2×Q8—591no—
1389C2×Q8—591no—
1390C2×Q8—1181no—
1391C2×Q8—1181no—
1392C2×Q8—2361no—
1393C2×Q8—2361no—
1394C2×Q8C23×D5911yescharacteristic
1395C2×Q8C23×D5911yescharacteristic
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—591no—
1402C2×D4—591no—
1403C2×D4—591no—
1404C2×D4—591no—
1405C2×D4—591no—
1406C2×D4—1181no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—1181no—
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—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—4722no—
1422C2×D4—4722no—
1423C2×D4—2361no—
1424C2×D4—2361no—
1425C2×D4—2361no—
1426C2×D4—2361no—
1427C2×D4D4×D5911yescharacteristic
1428C2×D4C23×D5911yescharacteristic
1429C2×D4C23×D5911yescharacteristic
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—591no—
1435C22×C4—591no—
1436C22×C4—591no—
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×C4C23×D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451Q16—41no—
1452Q16—2361no—
1453Q16—2361no—
1454Q16—2361no—
1455Q16—2361no—
1456Q16—2361no—
1457SD16—41no—
1458SD16—41no—
1459SD16—1182no—
1460SD16—1182no—
1461SD16—2361no—
1462SD16—2361no—
1463SD16—2361no—
1464SD16—2361no—
1465SD16—2361no—
1466SD16—2361no—
1467SD16—2361no—
1468SD16—2361no—
1469SD16—2361no—
1470SD16—2361no—
1471D8—1182no—
1472D8—1182no—
1473D8—1182no—
1474D8—1182no—
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—21no—
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—591no—
1506C4⋊C4—591no—
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⋊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⋊C4D4×D5911yescharacteristic
1531C4⋊C4C23×D5911yescharacteristic
1532C4⋊C4C23×D5911yescharacteristic
1533C4⋊C4C23×D5911yescharacteristic
1534C4⋊C4C23×D5911yescharacteristic
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—591no—
1543C22⋊C4—591no—
1544C22⋊C4—591no—
1545C22⋊C4—591no—
1546C22⋊C4—591no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—591no—
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—591no—
1580C42—591no—
1581C42—591no—
1582C42—591no—
1583C42—591no—
1584C42—1181no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42—1181no—
1591C42—1181no—
1592C42C23×D5911yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—81no—
1596C23—81no—
1597C23—81no—
1598C23—591no—
1599C23—1181no—
1600C23—1181no—
1601C23—1181no—
1602C23—4721no—
1603C23—4721no—
1604C23—4721no—
1605C23—4721no—
1606C23—4721no—
1607C23—2362no—
1608C23C2×D4×D5911yescharacteristic
1609C23C2×D4×D5911yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—81no—
1615Q8—1181no—
1616Q8—1181no—
1617Q8—1181no—
1618Q8—1181no—
1619Q8—1181no—
1620Q8—1181no—
1621Q8—4721no—
1622Q8—4721no—
1623Q8—2361no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—41no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—592no—
1633D4—1181no—
1634D4—1181no—
1635D4—1181no—
1636D4—1181no—
1637D4—1181no—
1638D4—4721no—
1639D4—4721no—
1640D4—4721no—
1641D4—4721no—
1642D4—4721no—
1643D4—4721no—
1644D4—4721no—
1645D4—4721no—
1646D4—4721no—
1647D4—4721no—
1648D4—2362no—
1649D4—2362no—
1650D4—2361no—
1651D4—2361no—
1652D4—2362no—
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—21no—
1664C2×C4—21no—
1665C2×C4—81no—
1666C2×C4—81no—
1667C2×C4—81no—
1668C2×C4—81no—
1669C2×C4—591no—
1670C2×C4—591no—
1671C2×C4—591no—
1672C2×C4—591no—
1673C2×C4—591no—
1674C2×C4—591no—
1675C2×C4—591no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4—4721no—
1689C2×C4—4721no—
1690C2×C4—4721no—
1691C2×C4—2361no—
1692C2×C4—2361no—
1693C2×C4—2362no—
1694C2×C4—2362no—
1695C2×C4—2362no—
1696C2×C4—2362no—
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—21no—
1714C22—21no—
1715C22—21no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—162no—
1723C22—1181no—
1724C22—1182no—
1725C22—1181no—
1726C22—1181no—
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—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—1181no—
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#1683823811yescharacteristic
1762C2—41no—
1763C2—41no—
1764C2—81no—
1765C2—81no—
1766C2—4721no—
1767C2—4721no—
1768C2—2361no—
1769C2—2362no—
1770C2#2143775911yescharacteristic
1771C2#2143887111yescharacteristic
1772C2#2143887911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3314C2
socleC22×C59C23×D4
hypercenter#3314D59
hypocenterC59#62089
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #21438605C2semidirect
2. #21438077C2semidirect
3. #21437152C2semidirect
4. #21437150C2semidirect
5. #21436856C2semidirect
6. #21436848C2semidirect
7. #21436367C2semidirect
8. #21436365C2semidirect
9. #21436171C2semidirect
10. #21436115C2semidirect
11. #21436113C2semidirect
12. #21435694C2semidirect
13. #21435693C2semidirect
14. #21435648C2semidirect
15. #21435644C2semidirect
16. #21435626C2semidirect
17. #21435617C2semidirect
18. #21435525C2semidirect
19. #21435523C2semidirect
20. #21435485C2semidirect
21. #21435166C2semidirect
22. #21435164C2semidirect
23. #21435100C2semidirect
24. #21434361C2semidirect
25. #21434353C2semidirect
26. #21434245C2semidirect
27. #21433640C2semidirect
28. #21433634C2semidirect
29. #21433587C2semidirect
30. #21433262C2semidirect
31. C59×#3314C2semidirect
32. C2×#14273759C22semidirect
33. C2×#14273755C22semidirect
35. C2×#14273753C22semidirect
36. C2×#14273749C22semidirect
37. C2×#14273747C22semidirect
42. #16838130C22semidirect
43. #16838113C22semidirect
46. #16838087C22semidirect
47. #16838087C22semidirect
52. #16838057C22semidirect
53. #16838054C22semidirect
54. #16838054C22semidirect
62. #16838012C22semidirect
63. #16838012C22semidirect
72. #16837957C22semidirect
78. #16837883C22semidirect
79. #16837883C22semidirect
80. C4×#11745689C22semidirect
81. #16837797C22semidirect
82. #16837796C22semidirect
83. #16837795C22semidirect
84. #16837793C22semidirect
89. #16837764C22semidirect
90. #16837758C22semidirect
91. #16837755C22semidirect
92. #16837737C22semidirect
93. #16837729C22semidirect
94. #16837725C22semidirect
96. #16837708C22semidirect
97. #16837707C22semidirect
98. #16837705C22semidirect
99. #16837704C22semidirect
100. #16837696C22semidirect
101. #16837696C22semidirect
102. #16837685C22semidirect
103. #16837681C22semidirect
104. #16837679C22semidirect
105. #16837660C22semidirect
106. #16837658C22semidirect
108. #16837649C22semidirect
109. #16837649C22semidirect
110. #16837647C22semidirect
111. #16837647C22semidirect
112. #16837641C22semidirect
115. #16837627C22semidirect
116. #16837627C22semidirect
117. #16837627C22semidirect
118. #16837626C22semidirect
119. #16837624C22semidirect
120. #16837623C22semidirect
121. #16837623C22semidirect
122. #16837623C22semidirect
123. #16837622C22semidirect
124. #16837620C22semidirect
125. #16837620C22semidirect
126. #16837618C22semidirect
127. #16837616C22semidirect
128. #16837616C22semidirect
129. #16837614C22semidirect
130. #16837611C22semidirect
131. #16837610C22semidirect
132. #16837608C22semidirect
133. #16837607C22semidirect
134. #16837606C22semidirect
135. #16837605C22semidirect
138. #16837601C22semidirect
139. #16837601C22semidirect
140. #16837600C22semidirect
143. #16837596C22semidirect
144. #16837566C22semidirect
145. #16837566C22semidirect
146. #16837564C22semidirect
147. #16837562C22semidirect
148. #16837562C22semidirect
149. #16837559C22semidirect
150. #16837559C22semidirect
151. #16837555C22semidirect
154. #16837553C22semidirect
155. #16837552C22semidirect
156. #16837550C22semidirect
158. #16837546C22semidirect
160. #16837531C22semidirect
161. #16837530C22semidirect
162. #16837515C22semidirect
163. #16837512C22semidirect
164. #16837505C22semidirect
165. #16837501C22semidirect
166. #16837501C22semidirect
167. #16837500C22semidirect
168. #16837499C22semidirect
169. #16837496C22semidirect
170. #16837494C22semidirect
171. #16837484C22semidirect
172. #16837482C22semidirect
173. #16837478C22semidirect
174. #16837477C22semidirect
175. #16837474C22semidirect
176. #16837473C22semidirect
177. #16837470C22semidirect
178. #16837460C22semidirect
179. #16837460C22semidirect
180. #16837457C22semidirect
181. #16837430C22semidirect
182. #16837428C22semidirect
183. #16837424C22semidirect
184. #16837409C22semidirect
186. #16837401C22semidirect
187. C2×#14273647C22semidirect
188. C59×#554C22semidirect
190. C59×#489C22semidirect
191. C59×#484C22semidirect
193. C59×#474C22semidirect
195. C59×#467C22semidirect
196. C59×#464C22semidirect
197. C59×#452C22semidirect
198. C59×#450C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C2×#102×C59C22semidirect
885. #3314D59semidirect
930. #554C2×D59semidirect
978. #489C2×D59semidirect
982. #484C2×D59semidirect
996. #474C2×D59semidirect
1006. #467C2×D59semidirect
1018. #464C2×D59semidirect
1044. #452C2×D59semidirect
1052. #450C2×D59semidirect
1066. #440C2×D59semidirect
1076. #435C2×D59semidirect
1086. #417C2×D59semidirect
1088. C2×#102C2×D59semidirect
1089. C59#62089semidirect

Maximal subgroups

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

subgroupindex
#214386052
#214380772
#214371522
#214371502
#214368562
#214368482
#214363672
#214363652
#214361712
#214361152
#214361132
#214356942
#214356932
#214356482
#214356442
#214356262
#214356172
#214355252
#214355232
#214354852
#214351662
#214351642
#214351002
#214343612
#214343532
#214342452
#214336402
#214336342
#214335872
#214332622
C59×#33142
#6208959