Finite Group Databasebeta

← #29466539

Subgroups — #29466539

Order 15104.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437807C211yesmaximal, characteristic, complemented
2#21437762C211yesmaximal, characteristic, complemented
3#21436364C211yesmaximal, characteristic, complemented
4#21436360C211yesmaximal, characteristic, complemented
5#21436333C211yesmaximal, characteristic, complemented
6#21436332C211yesmaximal, characteristic, complemented
7#21436275C211yesmaximal, characteristic, complemented
8#21436135C211yesmaximal, characteristic, complemented
9#21436131C211yesmaximal, characteristic, complemented
10#21436120C211yesmaximal, characteristic, complemented
11#21436119C211yesmaximal, characteristic, complemented
12#21436107C211yesmaximal, characteristic, complemented
13#21436095C211yesmaximal, characteristic, complemented
14#21436032C211yesmaximal, characteristic, complemented
15#21436031C211yesmaximal, characteristic, complemented
16#21435953C211yesmaximal, characteristic, complemented
17#21435952C211yesmaximal, characteristic, complemented
18#21434447C211yesmaximal, characteristic, complemented
19#21434077C211yesmaximal, characteristic, complemented
20#482×D59C211yesmaximal, characteristic, complemented
21#21433955C211yesmaximal, characteristic, complemented
22#21433753C211yesmaximal, characteristic, complemented
23#21433714C211yesmaximal, characteristic, complemented
24#21433636C211yesmaximal, characteristic, complemented
25#21433398C211yesmaximal, characteristic, complemented
26#21433313C211yesmaximal, characteristic, complemented
27#21432968C211yesmaximal, characteristic, complemented
28#21432819C211yesmaximal, characteristic, complemented
29#21432618C211yesmaximal, characteristic, complemented
30#21432614C211yesmaximal, characteristic, complemented
31C59×#3321C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C22×#11745689C2211yescharacteristic
34C2×#14273751C2211yescharacteristic, complemented
35C2×#14273748C2211yescharacteristic
36C2×#14273748C2211yescharacteristic, complemented
37C2×#14273733C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39#16838126C2211yescharacteristic, complemented
40#16838121—21no—
41#16838120C2211yescharacteristic, complemented
42#16838116C2211yescharacteristic, complemented
43#16838114—21no—
44#16838104C2211yescharacteristic, complemented
45#16838102C2211yescharacteristic, complemented
46#16838095—21no—
47#16838092C2211yescharacteristic, complemented
48#16838091C2211yescharacteristic, complemented
49#16838085—21no—
50#16838074C2211yescharacteristic
51#16838071C2211yescharacteristic
52#16838063C2211yescharacteristic
53#16838045—21no—
54#16838045C2211yescharacteristic
55#16838043—21no—
56#16838043C2211yescharacteristic
57D4×D236—21no—
58D4×D236C2211yescharacteristic
59#16838036—21no—
60#16838036C2211yescharacteristic
61#16838029C2211yescharacteristic, complemented
62#16837986—21no—
63#16837984—21no—
64#16837982—21no—
65#16837982C2211yescharacteristic
66#16837981C2211yescharacteristic, complemented
67#16837970—21no—
68#16837970C2211yescharacteristic
69#16837931—21no—
70#16837930—21no—
71#16837912C2211yescharacteristic, complemented
72#16837911—21no—
73#16837911C2211yescharacteristic
74#121×D59—21no—
75#121×D59C2211yescharacteristic
76#16837884C2211yescharacteristic
77#16837882C2211yescharacteristic, complemented
78#16837881C2211yescharacteristic, complemented
79#117×D59C2211yescharacteristic, complemented
80#16837767C2211yescharacteristic, complemented
81#16837765C2211yescharacteristic, complemented
82#16837763C2211yescharacteristic, complemented
83#16837758C2211yescharacteristic, complemented
84#16837756C2211yescharacteristic, complemented
85#16837750C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837742C2211yescharacteristic, complemented
88#16837736C2211yescharacteristic, complemented
89#16837735C2211yescharacteristic, complemented
90#16837729C2211yescharacteristic, complemented
91#16837728C2211yescharacteristic, complemented
92#16837728C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837726C2211yescharacteristic, complemented
95#16837726C2211yescharacteristic, complemented
96#16837725C2211yescharacteristic, complemented
97#16837724C2211yescharacteristic, complemented
98#16837723C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic, complemented
100#16837716C2211yescharacteristic, complemented
101#16837711C2211yescharacteristic, complemented
102#16837709C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic, complemented
104#16837701C2211yescharacteristic, complemented
105#16837691C2211yescharacteristic, complemented
106#16837689C2211yescharacteristic, complemented
107#16837685C2211yescharacteristic, complemented
108#16837659C2211yescharacteristic, complemented
109#16837658C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837653C2211yescharacteristic, complemented
112#16837653C2211yescharacteristic, complemented
113#16837648C2211yescharacteristic, complemented
114#16837646C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837635C2211yescharacteristic, complemented
117#16837632C2211yescharacteristic, complemented
118#16837632C2211yescharacteristic, complemented
119#16837631C2211yescharacteristic, complemented
120#16837630C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837621C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837603C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837597C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837567C2211yescharacteristic, complemented
131#16837567C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837558C2211yescharacteristic, complemented
134#16837555C2211yescharacteristic, complemented
135#16837555C2211yescharacteristic, complemented
136#16837554C2211yescharacteristic, complemented
137#16837546C2211yescharacteristic, complemented
138#16837546C2211yescharacteristic, complemented
139#16837546C2211yescharacteristic, complemented
140#16837535C2211yescharacteristic, complemented
141#16837535C2211yescharacteristic, complemented
142#16837534C2211yescharacteristic, complemented
143#16837504C2211yescharacteristic, complemented
144#16837503C2211yescharacteristic, complemented
145#16837501C2211yescharacteristic, complemented
146C4×#11745672C2211yescharacteristic, complemented
147#16837494C2211yescharacteristic, complemented
148C4×#11745669C2211yescharacteristic, complemented
149#16837482C2211yescharacteristic, complemented
150#16837480C2211yescharacteristic, complemented
151#16837478C2211yescharacteristic, complemented
152#16837476C2211yescharacteristic, complemented
153#16837476C2211yescharacteristic, complemented
154#16837475C2211yescharacteristic, complemented
155#16837467C2211yescharacteristic, complemented
156C8×C22⋊D59C2211yescharacteristic, complemented
157#16837441C2211yescharacteristic, complemented
158#107×D59C2211yescharacteristic, complemented
159#106×D59C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837411C2211yescharacteristic, complemented
162#16837408C2211yescharacteristic, complemented
163#16837406C2211yescharacteristic, complemented
164#16837406C2211yescharacteristic, complemented
165#16837405C2211yescharacteristic, complemented
166#16837405C2211yescharacteristic, complemented
167#16837403C2211yescharacteristic, complemented
168#16837402C2211yescharacteristic
169#16837402C2211yescharacteristic
170#16837402C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic, complemented
172#16837402C2211yescharacteristic, complemented
173#16837400C2211yescharacteristic, complemented
174#16837397C2211yescharacteristic
175#16837397C2211yescharacteristic, complemented
176#16837397C2211yescharacteristic, complemented
177#16837397C2211yescharacteristic, complemented
178#16837397C2211yescharacteristic, complemented
179#16837397C2211yescharacteristic, complemented
180#16837397C2211yescharacteristic, complemented
181C2×#14273649C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186C22⋊C8×D59C2211yescharacteristic, complemented
187#16837359C2211yescharacteristic, complemented
188C59×#555C2211yescharacteristic, complemented
189C59×#548C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#475C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#419C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203#14273773—24no—
204#14273773—42no—
205C2×#11745689—21no—
206C2×#11745689—21no—
207C2×#11745689—24no—
208C2×#11745689—42no—
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745689C2311yescharacteristic
212C2×#11745689C2311yescharacteristic
213C2×#11745689C2311yescharacteristic
214C2×#11745685—21no—
215C2×#11745685C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217C22×D236—21no—
218C22×D236—21no—
219C22×D236C2311yescharacteristic
220C22×D236C2311yescharacteristic
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C22×C4×D59—21no—
229C22×C4×D59C2311yescharacteristic
230#14273751—42no—
231#14273748—24no—
232#14273748—42no—
233C2×#11745672C2311yescharacteristic
234C2×#11745672C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745660C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242#14273733—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745664C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248M16×D59—42no—
249C2×C8×D59C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254#14273726C2311yescharacteristic
255#14273725—21no—
256#14273724—21no—
257#14273724C2311yescharacteristic
258#14273723—21no—
259#14273723C2311yescharacteristic
260#14273722—21no—
261#14273722—21no—
262#14273721—21no—
263#14273720—21no—
264#14273720—21no—
265#14273720—21no—
266#14273720—21no—
267#14273720—21no—
268#14273719—21no—
269#14273719C2311yescharacteristic
270#14273718C2311yescharacteristic
271#14273717—21no—
272#14273717—21no—
273#14273716—21no—
274#14273716—21no—
275#14273716C2311yescharacteristic
276#14273714—21no—
277#14273713—21no—
278#14273713—21no—
279#14273712—21no—
280#14273712D411yescharacteristic
281#14273711—21no—
282#14273710—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709D411yescharacteristic
287#14273708—21no—
288#14273707C2311yescharacteristic
289#14273707C2311yescharacteristic
290#14273706C2311yescharacteristic
291#14273706C2311yescharacteristic
292#14273705—21no—
293#14273705—21no—
294#14273705D411yescharacteristic
295#14273704—21no—
296#14273704D411yescharacteristic
297#14273703—21no—
298#14273703—21no—
299#14273703C2311yescharacteristic
300#14273702—21no—
301#14273702—21no—
302#14273702—21no—
303#14273702—21no—
304#14273702—21no—
305#14273702C2311yescharacteristic
306#14273702C2311yescharacteristic
307#14273701—21no—
308#14273701—21no—
309#14273701C2311yescharacteristic
310#14273701C2311yescharacteristic
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700D411yescharacteristic
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699D411yescharacteristic
326#14273698—21no—
327#14273698—21no—
328#14273698C2311yescharacteristic
329#14273698C2311yescharacteristic
330#14273698C2311yescharacteristic
331#14273697—21no—
332#14273697—21no—
333#14273697—21no—
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273697D411yescharacteristic
339#14273695—21no—
340#14273695—21no—
341#14273695D411yescharacteristic
342Q8×Dic59—21no—
343Q8×Dic59C2311yescharacteristic
344C4×Dic118—21no—
345C4×Dic118—21no—
346C4×Dic118C2311yescharacteristic
347#14273692C2311yescharacteristic
348C4×D236—21no—
349C4×D236—21no—
350C4×D236—21no—
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353D4×Dic59—21no—
354D4×Dic59—21no—
355D4×Dic59C2311yescharacteristic
356#14273689—21no—
357#14273689C2311yescharacteristic
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59C2311yescharacteristic
363C4×C22⋊D59C2311yescharacteristic
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368#14273686C2311yescharacteristic
369#14273685C2311yescharacteristic
370#14273685C2311yescharacteristic
371#14273685C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273684—21no—
374#14273684—21no—
375#14273684—21no—
376#14273684C2311yescharacteristic
377#14273683—21no—
378#14273683—21no—
379#14273683—21no—
380#14273683—21no—
381C2×C4⋊Dic59C2311yescharacteristic
382C2×Dic59⋊C4—21no—
383C4⋊C4×D59—21no—
384C4⋊C4×D59C2311yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C4⋊C4×D59C2311yescharacteristic
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C42×D59—21no—
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273637C2311yescharacteristic
442C4×C59⋊C8C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C22×Q8×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C22×C8×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452#124×C59—21no—
453#124×C59—21no—
454#124×C59—21no—
455#124×C59C2311yescharacteristic
456C22⋊Q8×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458#121×C59—21no—
459#121×C59—21no—
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59—21no—
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467#117×C59—21no—
468#117×C59C2311yescharacteristic
469#117×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×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
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486#97×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59C2×D411yescharacteristic
492#41×C59—22no—
493#41×C59—41no—
494C2×Q8×C59—21no—
495C2×Q8×C59—21no—
496C2×Q8×C59—22no—
497C2×Q8×C59—41no—
498C2×Q8×C59C2411yescharacteristic
499C2×Q8×C59C2411yescharacteristic
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59C2411yescharacteristic
511C22×C4×C59C2411yescharacteristic
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—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59C2×D411yescharacteristic
523C2×C22⋊D59C2×D411yescharacteristic
524C2×C22⋊D59C2×D411yescharacteristic
525C2×C22⋊D59C2×D411yescharacteristic
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59C2×D411yescharacteristic
530#11745689—22no—
531#11745689—22no—
532#11745689—22no—
533#11745689—22no—
534#11745689—22no—
535#11745689—22no—
536#11745689—44no—
537#11745689—41no—
538#11745689—41no—
539#11745689—41no—
540#11745689—44no—
541#11745689#4114yes—
542#11745687—22no—
543#11745687—22no—
544D4×D59—22no—
545D4×D59—22no—
546D4×D59—22no—
547D4×D59—41no—
548D4×D59—44no—
549D4×D59—44no—
550D4×D59—82no—
551D4×D59—82no—
552D4×D59—82no—
553#11745685—22no—
554#11745685—22no—
555#11745685—44no—
556C2×D236—21no—
557C2×D236—22no—
558C2×D236—22no—
559C2×D236—21no—
560C2×D236—21no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236—21no—
569C2×D236—41no—
570C2×D236—41no—
571C2×D236—44no—
572C2×D236—44no—
573C2×D236C2×D411yescharacteristic
574C2×D236C2×D411yescharacteristic
575C2×D236C2411yescharacteristic
576C2×D236C2411yescharacteristic
577C2×D236C2411yescharacteristic
578C2×C4×D59—21no—
579C2×C4×D59—22no—
580C2×C4×D59—22no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—44no—
592C2×C4×D59C2×D411yescharacteristic
593C2×C4×D59C2×D411yescharacteristic
594C2×C4×D59C2411yescharacteristic
595C2×C4×D59C2411yescharacteristic
596C2×C4×D59C2411yescharacteristic
597C2×Dic118—21no—
598C2×Dic118C2×D411yescharacteristic
599C2×Dic118C2411yescharacteristic
600SD16×C59—22no—
601SD16×C59—41no—
602D8×C59—41no—
603M16×C59—41no—
604C2×C8×C59—41no—
605C2×C8×C59C2411yescharacteristic
606C2×C8×C59C2411yescharacteristic
607C2×C8×C59C2411yescharacteristic
608C2×C8×C59C2411yescharacteristic
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59—21no—
612C4⋊C4×C59C2×D411yescharacteristic
613C4⋊C4×C59C2411yescharacteristic
614C4⋊C4×C59C2411yescharacteristic
615C4⋊C4×C59C2411yescharacteristic
616C4⋊C4×C59C2411yescharacteristic
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59—21no—
626C22⋊C4×C59C2×D411yescharacteristic
627C22⋊C4×C59C2×D411yescharacteristic
628C42×C59—21no—
629C42×C59—21no—
630C42×C59—21no—
631C42×C59C2411yescharacteristic
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59C2×D411yescharacteristic
640C22⋊Dic59C2×D411yescharacteristic
641#11745672—22no—
642#11745672—41no—
643#11745670—41no—
644#11745669—22no—
645#11745669—41no—
646#11745669—41no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4C2×D411yescharacteristic
663(C2×D59)⋊C4C2×D411yescharacteristic
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666(C2×D59)⋊C4C2×D411yescharacteristic
667(C2×D59)⋊C4C2×D411yescharacteristic
668C4⋊Dic59—21no—
669C4⋊Dic59—21no—
670C4⋊Dic59—21no—
671C4⋊Dic59—21no—
672C4⋊Dic59—21no—
673C4⋊Dic59C2×D411yescharacteristic
674C4⋊Dic59C2411yescharacteristic
675C4⋊Dic59C2411yescharacteristic
676C4⋊Dic59C2411yescharacteristic
677C4⋊Dic59C2411yescharacteristic
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4C2×D411yescharacteristic
692Dic59⋊C4C2×D411yescharacteristic
693Dic59⋊C4C2×D411yescharacteristic
694Dic59⋊C4C2×D411yescharacteristic
695C4×Dic59—21no—
696C4×Dic59—21no—
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59C2411yescharacteristic
704#11745664—41no—
705#11745664—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710#11745660—22no—
711#11745660—41no—
712#11745660—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—41no—
716C8×D59—22no—
717C8×D59—22no—
718C8×D59—41no—
719C8×D59—41no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59C22×D411yescharacteristic
724C23×C59C22×D411yescharacteristic
725C22×D59—21no—
726C22×D59—22no—
727C22×D59—21no—
728C22×D59—21no—
729C22×D59—41no—
730C22×D59—41no—
731C22×D59—42no—
732C22×D59—42no—
733C22×D59—42no—
734C22×D59—42no—
735C22×D59—42no—
736C22×D59—81no—
737C22×D59—81no—
738C22×D59—81no—
739C22×D59—81no—
740C22×D59—81no—
741C22×D59—81no—
742C22×D59—81no—
743C22×D59C22×D411yescharacteristic
744C22×D59C22×D411yescharacteristic
745C22×D59C22×D411yescharacteristic
746Q8×C59—21no—
747Q8×C59—21no—
748Q8×C59—21no—
749Q8×C59—42no—
750Q8×C59—81no—
751Q8×C59C2×#4112yes—
752D4×C59—21no—
753D4×C59—21no—
754D4×C59—21no—
755D4×C59—21no—
756D4×C59—41no—
757D4×C59—42no—
758D4×C59—42no—
759D4×C59—81no—
760D4×C59—81no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—42no—
772C2×C4×C59—42no—
773C2×C4×C59—81no—
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C22×D411yescharacteristic
777C2×C4×C59C22×D411yescharacteristic
778C2×C4×C59C2511yescharacteristic
779C22⋊D59—22no—
780C22⋊D59—22no—
781C22⋊D59—41no—
782C22⋊D59—41no—
783C22⋊D59—42no—
784C22⋊D59—42no—
785C22⋊D59—42no—
786C22⋊D59—42no—
787C22⋊D59—81no—
788C22⋊D59—81no—
789C22⋊D59—81no—
790C22⋊D59—81no—
791C22⋊D59—81no—
792C22⋊D59—81no—
793C2×Dic59—22no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—42no—
800C2×Dic59—81no—
801C2×Dic59—81no—
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806C2×Dic59C22×D411yescharacteristic
807D236—24no—
808D236—22no—
809D236—21no—
810D236—21no—
811D236—21no—
812D236—21no—
813D236—21no—
814D236—41no—
815D236—42no—
816D236—42no—
817D236—42no—
818D236—42no—
819D236—42no—
820D236—42no—
821D236—81no—
822D236—81no—
823D236—81no—
824D236—81no—
825D236C2×#4112yes—
826C4×D59—22no—
827C4×D59—21no—
828C4×D59—21no—
829C4×D59—21no—
830C4×D59—21no—
831C4×D59—22no—
832C4×D59—24no—
833C4×D59—42no—
834C4×D59—42no—
835C4×D59—42no—
836C4×D59—42no—
837C4×D59—81no—
838C4×D59—81no—
839C4×D59—81no—
840C4×D59—81no—
841C4×D59—81no—
842C4×D59—81no—
843C4×D59C2×#4112yes—
844C4×D59H(5,𝔽2)12yes—
845Dic118—22no—
846Dic118—21no—
847Dic118—21no—
848Dic118—81no—
849C8×C59—21no—
850C8×C59—21no—
851C8×C59—21no—
852C8×C59—21no—
853C59⋊C8—21no—
854C59⋊C8—21no—
855C59⋊C8—21no—
856C59⋊C8—21no—
857#61195—591nomaximal, Sylow
858C22×C59—21no—
859C22×C59—21no—
860C22×C59—21no—
861C22×C59—21no—
862C22×C59—21no—
863C22×C59—21no—
864C22×C59—41no—
865C22×C59—41no—
866C22×C59—41no—
867C22×C59—41no—
868C22×C59—41no—
869C22×C59—41no—
870C22×C59C23×D411yescharacteristic
871C2×D59—21no—
872C2×D59—21no—
873C2×D59—21no—
874C2×D59—21no—
875C2×D59—21no—
876C2×D59—21no—
877C2×D59—21no—
878C2×D59—22no—
879C2×D59—21no—
880C2×D59—41no—
881C2×D59—41no—
882C2×D59—41no—
883C2×D59—41no—
884C2×D59—41no—
885C2×D59—41no—
886C2×D59—41no—
887C2×D59—41no—
888C2×D59—82no—
889C2×D59—84no—
890C2×D59—162no—
891C2×D59—162no—
892C2×D59—162no—
893C2×D59#54612yes—
894C4×C59—21no—
895C4×C59—21no—
896C4×C59—21no—
897C4×C59—21no—
898C4×C59—22no—
899C4×C59—41no—
900C4×C59—41no—
901C4×C59—41no—
902C4×C59—41no—
903C4×C59—41no—
904C4×C59C22×#4111yescharacteristic
905C4×C59C2×H(5,𝔽2)11yescharacteristic
906Dic59—21no—
907Dic59—21no—
908Dic59—21no—
909Dic59—21no—
910Dic59—41no—
911Dic59—41no—
912Dic59—41no—
913Dic59—41no—
914Dic59—41no—
915Dic59#54612yes—
916#3493—591no—
917#3488—591no—
918#3327—591no—
919#3327—591no—
920#3325—591no—
921#3325—591no—
922#3321—591no—
923#3321D5911yescharacteristic, complemented
924#3311—591no—
925#3311—591no—
926#3310—591no—
927#3310—591no—
928#3309—591no—
929#3309—591no—
930#3304—591no—
931#3304—591no—
932#3297—591no—
933#3297—591no—
934#3136—591no—
935#3098—591no—
936C2×#482—591no—
937#3084—591no—
938#3060—591no—
939#3055—591no—
940#3045—591no—
941#3012—591no—
942#3002—591no—
943#2951—591no—
944#2933—591no—
945#2897—591no—
946#2896—591no—
947C2×C59—41no—
948C2×C59—41no—
949C2×C59—81no—
950C2×C59—81no—
951C2×C59C2×#54611yescharacteristic
952C2×C59#358411yescharacteristic
953C2×C59#358511yescharacteristic
954D59—22no—
955D59—41no—
956D59—41no—
957D59—42no—
958D59—81no—
959D59—81no—
960C2×H(5,𝔽2)—591no—
961C22×#41—591no—
962C2×AGL(1,ℤ/8)—591no—
963C2×#135—591no—
964C2×#135—591no—
965C2×#131—591no—
966C22×M16—591no—
967#556—591no—
968#556—591no—
969#556—1181no—
970#555—591no—
971#555—1181no—
972#555C2×D5911yescharacteristic, complemented
973#553—591no—
974#553—591no—
975#553—1181no—
976#552—591no—
977#552—591no—
978#552—1181no—
979#550—591no—
980#550—591no—
981#548—591no—
982#548C2×D5911yescharacteristic
983#546—591no—
984#546—591no—
985#546—1181no—
986#546—1181no—
987D42—591no—
988D42—591no—
989D42—1181no—
990D42—1181no—
991#544—591no—
992#538—1181no—
993#538—1181no—
994#537—591no—
995#537—591no—
996#537—1181no—
997#535—591no—
998#535—1181no—
999#529—1181no—
1000#529—1181no—
1001#525—591no—
1002#525—591no—
1003#525—1181no—
1004C2×#121—591no—
1005C2×#121—1181no—
1006#520—591no—
1007#520—591no—
1008#520—591no—
1009C2×#117—591no—
1010#490—591no—
1011#490—591no—
1012#489—591no—
1013#489C2×D5911yescharacteristic, complemented
1014#488—591no—
1015#488—591no—
1016#486—591no—
1017#486—591no—
1018#485—591no—
1019#485C2×D5911yescharacteristic, complemented
1020#484—591no—
1021#484—591no—
1022#482—591no—
1023#482—591no—
1024#482—591no—
1025#482—591no—
1026#482—591no—
1027#482—591no—
1028#482—591no—
1029#482—591no—
1030#482—591no—
1031#482C2×D5911yescharacteristic, complemented
1032#480—591no—
1033#480—591no—
1034#479—591no—
1035#479—591no—
1036#478—591no—
1037#478—591no—
1038#476—591no—
1039#476—591no—
1040#475—591no—
1041#475C2×D5911yescharacteristic, complemented
1042#470—591no—
1043#470—591no—
1044#469—591no—
1045#469—591no—
1046#469—591no—
1047#469C2×D5911yescharacteristic, complemented
1048#468—591no—
1049#468—591no—
1050#466—591no—
1051#466—591no—
1052#465—591no—
1053#465—591no—
1054#465—591no—
1055#465—591no—
1056#465—591no—
1057#465C2×D5911yescharacteristic, complemented
1058#464—591no—
1059#464—591no—
1060#463—591no—
1061#463C2×D5911yescharacteristic, complemented
1062#460—591no—
1063#460—591no—
1064#459—591no—
1065#459—591no—
1066#452—591no—
1067#452—591no—
1068#452—591no—
1069#452—591no—
1070#451—591no—
1071#450—591no—
1072#450—591no—
1073#450—591no—
1074#449—591no—
1075#449—591no—
1076#449—591no—
1077#449C2×D5911yescharacteristic, complemented
1078#448C2×D5911yescharacteristic, complemented
1079#447—591no—
1080#447—591no—
1081#447—591no—
1082#440—591no—
1083#440—591no—
1084#440—591no—
1085#440C2×D5911yescharacteristic, complemented
1086C4×Q16—591no—
1087C4×Q16—591no—
1088C4×D8—591no—
1089C4×D8—591no—
1090#436—591no—
1091#436—591no—
1092#435—591no—
1093#435—591no—
1094#435—591no—
1095#435C2×D5911yescharacteristic, complemented
1096C8×D4—591no—
1097C8×D4—591no—
1098#428—591no—
1099C2×#107—591no—
1100C2×#106—591no—
1101#424—591no—
1102#419—591no—
1103#419C2×D5911yescharacteristic, complemented
1104#418—591no—
1105#418—591no—
1106#418—591no—
1107#418—591no—
1108#418—591no—
1109#417—591no—
1110#417—591no—
1111#417—591no—
1112#417—591no—
1113#417—591no—
1114#417—591no—
1115#417—591no—
1116#416—591no—
1117#416—591no—
1118#416—591no—
1119#416—591no—
1120#416—591no—
1121#416—591no—
1122#416—591no—
1123#416C2×D5911yescharacteristic, complemented
1124C2×#102—591no—
1125C2×#102—591no—
1126C2×#102—591no—
1127C2×#102—591no—
1128#408—591no—
1129C2×C22⋊C8—591no—
1130#405—591no—
1131C59#6119511yescharacteristic, complemented, Sylow
1132H(5,𝔽2)—1184no—
1133H(5,𝔽2)—2362no—
1134C2×#41—591no—
1135C2×#41—591no—
1136C2×#41—591no—
1137C2×#41—591no—
1138C2×#41—591no—
1139C2×#41—591no—
1140C2×#41—591no—
1141C2×#41—1181no—
1142C2×#41—1181no—
1143C2×#41—1181no—
1144C2×#41—1184no—
1145C2×#41—2362no—
1146C2×#41C22×D5911yescharacteristic
1147C22×Q8C22×D5911yescharacteristic
1148C22×D4—591no—
1149C22×D4—591no—
1150C22×D4—591no—
1151C22×D4—591no—
1152C22×D4—1181no—
1153C22×D4—1181no—
1154C22×D4—1181no—
1155C22×D4—1181no—
1156C22×D4—1181no—
1157C22×D4—1181no—
1158C22×D4—1181no—
1159C23×C4—591no—
1160C23×C4—1181no—
1161AGL(1,ℤ/8)—2362no—
1162#135—1184no—
1163#135—2362no—
1164C2×Q16—591no—
1165C2×Q16—591no—
1166C2×SD16—591no—
1167C2×SD16—591no—
1168C2×SD16—591no—
1169C2×SD16—591no—
1170C2×SD16C22×D5911yescharacteristic
1171C2×SD16C22×D5911yescharacteristic
1172C2×D8—591no—
1173C2×D8—591no—
1174C2×D8—591no—
1175C2×D8C22×D5911yescharacteristic
1176#131—2362no—
1177C2×M16—591no—
1178C2×M16—591no—
1179C2×M16—591no—
1180C2×M16—591no—
1181C2×M16—591no—
1182C2×M16—2362no—
1183C2×M16C22×D5911yescharacteristic
1184C22×C8—591no—
1185C22×C8—591no—
1186C22×C8—591no—
1187C22×C8—591no—
1188C22×C8—591no—
1189C22×C8C22×D5911yescharacteristic
1190C4⋊Q8—591no—
1191C4⋊Q8—1181no—
1192C4⋊Q8C22×D5911yescharacteristic
1193#127—591no—
1194#127—591no—
1195#127—1181no—
1196#127—1181no—
1197#126—1181no—
1198#126—1181no—
1199#126—1181no—
1200#126—1181no—
1201#126—1181no—
1202#126—1181no—
1203#126—1181no—
1204#126—1181no—
1205#125—591no—
1206#125—591no—
1207#125—1181no—
1208#125—1181no—
1209#125—1181no—
1210#124—21no—
1211#124—21no—
1212#124—21no—
1213#124—591no—
1214#124—1181no—
1215#124—1181no—
1216#124—1181no—
1217#124—1181no—
1218#124—1181no—
1219#124C22×D5911yescharacteristic
1220#123—591no—
1221#123—591no—
1222#123—1181no—
1223#123—1181no—
1224#123—1181no—
1225#123—1181no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229C22⋊Q8—21no—
1230C22⋊Q8—591no—
1231C22⋊Q8—591no—
1232C22⋊Q8—591no—
1233C22⋊Q8—591no—
1234C22⋊Q8—591no—
1235C22⋊Q8—591no—
1236C22⋊Q8—591no—
1237C22⋊Q8—1181no—
1238C22⋊Q8—1181no—
1239C22⋊Q8—1181no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8C22×D5911yescharacteristic
1243#121—21no—
1244#121—21no—
1245#121—591no—
1246#121—591no—
1247#121—591no—
1248#121—591no—
1249#121—591no—
1250#121—591no—
1251#121—591no—
1252#121—591no—
1253#121—591no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121—1181no—
1272#121—1181no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121C22×D5911yescharacteristic
1277#121C22×D5911yescharacteristic
1278#121C22×D5911yescharacteristic
1279#120—591no—
1280#120—591no—
1281#120—1181no—
1282#120—1181no—
1283#120—1181no—
1284#120—1181no—
1285#120—1181no—
1286#120—1181no—
1287#120—1181no—
1288#120—1181no—
1289#120—1181no—
1290C4×Q8—591no—
1291C4×Q8—591no—
1292C4×Q8—591no—
1293C4×Q8—1181no—
1294C4×Q8—1181no—
1295C4×Q8—1181no—
1296C4×Q8C22×D5911yescharacteristic
1297C4×D4—21no—
1298C4×D4—591no—
1299C4×D4—591no—
1300C4×D4—591no—
1301C4×D4—591no—
1302C4×D4—591no—
1303C4×D4—591no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4—1181no—
1313C4×D4—1181no—
1314C4×D4—1181no—
1315C4×D4—1181no—
1316C4×D4—1181no—
1317C4×D4—1181no—
1318C4×D4C22×D5911yescharacteristic
1319C4×D4C22×D5911yescharacteristic
1320#117—21no—
1321#117—591no—
1322#117—591no—
1323#117—591no—
1324#117—591no—
1325#117—591no—
1326#117—591no—
1327#117—1181no—
1328#117—1181no—
1329#117—1181no—
1330#117—1181no—
1331#117—1181no—
1332#117—1181no—
1333#117—1181no—
1334#117C22×D5911yescharacteristic
1335#117C22×D5911yescharacteristic
1336C2×C4⋊C4—591no—
1337C2×C4⋊C4—591no—
1338C2×C4⋊C4—591no—
1339C2×C4⋊C4—591no—
1340C2×C4⋊C4—591no—
1341C2×C4⋊C4—1181no—
1342C2×C4⋊C4—1181no—
1343C2×C22⋊C4—1181no—
1344C2×C22⋊C4—1181no—
1345C2×C22⋊C4—1181no—
1346C2×C22⋊C4—1181no—
1347C2×C42—1181no—
1348#107—591no—
1349#107—591no—
1350#107—591no—
1351#107—591no—
1352#107—591no—
1353#107C22×D5911yescharacteristic
1354#106—591no—
1355#106—591no—
1356#106—591no—
1357#106—591no—
1358#106C22×D5911yescharacteristic
1359#106C22×D5911yescharacteristic
1360C4⋊C8—591no—
1361C4⋊C8—591no—
1362C4⋊C8—591no—
1363C4⋊C8C22×D5911yescharacteristic
1364#103—591no—
1365#103—591no—
1366#103—591no—
1367#103—591no—
1368#103—591no—
1369#103—591no—
1370#103—591no—
1371#103—591no—
1372#103C22×D5911yescharacteristic
1373#103C22×D5911yescharacteristic
1374#103C22×D5911yescharacteristic
1375#103C22×D5911yescharacteristic
1376#103C22×D5911yescharacteristic
1377#103C22×D5911yescharacteristic
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102C22×D5911yescharacteristic
1401#102C22×D5911yescharacteristic
1402#102C22×D5911yescharacteristic
1403#102C22×D5911yescharacteristic
1404C22⋊C8—591no—
1405C22⋊C8—591no—
1406C22⋊C8—591no—
1407C22⋊C8—591no—
1408C22⋊C8—591no—
1409C22⋊C8—591no—
1410C22⋊C8C22×D5911yescharacteristic
1411C22⋊C8C22×D5911yescharacteristic
1412#97—591no—
1413#97C22×D5911yescharacteristic
1414C4×C8—591no—
1415C4×C8—591no—
1416C24—591no—
1417C24—1181no—
1418C24—1181no—
1419C24—1181no—
1420C24—1181no—
1421#41—22no—
1422#41—41no—
1423#41—594no—
1424#41—1182no—
1425#41—1182no—
1426#41—1182no—
1427#41—1182no—
1428#41—1182no—
1429#41—1182no—
1430#41—1182no—
1431#41—1182no—
1432#41—1182no—
1433#41—1182no—
1434#41—2364no—
1435#41—2364no—
1436#41—2361no—
1437#41—2361no—
1438#41—2361no—
1439#41—2364no—
1440C2×Q8—21no—
1441C2×Q8—21no—
1442C2×Q8—22no—
1443C2×Q8—41no—
1444C2×Q8—591no—
1445C2×Q8—591no—
1446C2×Q8—1181no—
1447C2×Q8C23×D5911yescharacteristic
1448C2×Q8C23×D5911yescharacteristic
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—591no—
1454C2×D4—591no—
1455C2×D4—591no—
1456C2×D4—591no—
1457C2×D4—591no—
1458C2×D4—591no—
1459C2×D4—591no—
1460C2×D4—591no—
1461C2×D4—591no—
1462C2×D4—1182no—
1463C2×D4—1182no—
1464C2×D4—1181no—
1465C2×D4—1181no—
1466C2×D4—1181no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1181no—
1471C2×D4—1182no—
1472C2×D4—1182no—
1473C2×D4—1181no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—1182no—
1478C2×D4—1181no—
1479C2×D4—1181no—
1480C2×D4—1181no—
1481C2×D4—1181no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—4722no—
1489C2×D4—4722no—
1490C2×D4—4722no—
1491C2×D4—2361no—
1492C2×D4—2361no—
1493C2×D4—2364no—
1494C2×D4—2364no—
1495C2×D4—2361no—
1496C2×D4—2364no—
1497C2×D4—2364no—
1498C2×D4D4×D5911yescharacteristic
1499C2×D4C23×D5911yescharacteristic
1500C2×D4C23×D5911yescharacteristic
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—591no—
1505C22×C4—591no—
1506C22×C4—591no—
1507C22×C4—591no—
1508C22×C4—591no—
1509C22×C4—591no—
1510C22×C4—1181no—
1511C22×C4—1182no—
1512C22×C4—1182no—
1513C22×C4—1181no—
1514C22×C4—1181no—
1515C22×C4—1181no—
1516C22×C4—1181no—
1517C22×C4—1181no—
1518C22×C4—1181no—
1519C22×C4—1181no—
1520C22×C4—1181no—
1521C22×C4—1181no—
1522C22×C4—1181no—
1523C22×C4—1181no—
1524C22×C4—1181no—
1525C22×C4—1181no—
1526C22×C4—2364no—
1527C22×C4C23×D5911yescharacteristic
1528C22×C4C23×D5911yescharacteristic
1529Q16—1182no—
1530Q16—2361no—
1531SD16—22no—
1532SD16—41no—
1533SD16—1182no—
1534SD16—2361no—
1535SD16—2361no—
1536SD16—2361no—
1537D8—41no—
1538D8—1182no—
1539D8—2361no—
1540D8—2361no—
1541M16—41no—
1542M16—1182no—
1543M16—1182no—
1544M16—2361no—
1545M16—2361no—
1546M16—2361no—
1547C2×C8—41no—
1548C2×C8—591no—
1549C2×C8—591no—
1550C2×C8—591no—
1551C2×C8—591no—
1552C2×C8—1182no—
1553C2×C8—1182no—
1554C2×C8—2361no—
1555C2×C8—2361no—
1556C2×C8—2361no—
1557C2×C8C23×D5911yescharacteristic
1558C2×C8C23×D5911yescharacteristic
1559C2×C8C23×D5911yescharacteristic
1560C2×C8C23×D5911yescharacteristic
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—591no—
1565C4⋊C4—591no—
1566C4⋊C4—591no—
1567C4⋊C4—591no—
1568C4⋊C4—591no—
1569C4⋊C4—591no—
1570C4⋊C4—591no—
1571C4⋊C4—591no—
1572C4⋊C4—591no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4—1181no—
1581C4⋊C4—1181no—
1582C4⋊C4—1181no—
1583C4⋊C4—1181no—
1584C4⋊C4—1181no—
1585C4⋊C4—1181no—
1586C4⋊C4—1181no—
1587C4⋊C4—1181no—
1588C4⋊C4—1181no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4D4×D5911yescharacteristic
1592C4⋊C4C23×D5911yescharacteristic
1593C4⋊C4C23×D5911yescharacteristic
1594C4⋊C4C23×D5911yescharacteristic
1595C4⋊C4C23×D5911yescharacteristic
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—591no—
1606C22⋊C4—591no—
1607C22⋊C4—591no—
1608C22⋊C4—591no—
1609C22⋊C4—591no—
1610C22⋊C4—591no—
1611C22⋊C4—591no—
1612C22⋊C4—591no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4—1181no—
1618C22⋊C4—1181no—
1619C22⋊C4—1181no—
1620C22⋊C4—1181no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4—1181no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4D4×D5911yescharacteristic
1636C22⋊C4D4×D5911yescharacteristic
1637C42—21no—
1638C42—21no—
1639C42—21no—
1640C42—591no—
1641C42—1181no—
1642C42—1181no—
1643C42—1181no—
1644C42—1181no—
1645C42—1181no—
1646C42—1181no—
1647C42—1181no—
1648C42—1181no—
1649C42C23×D5911yescharacteristic
1650C23—21no—
1651C23—21no—
1652C23—591no—
1653C23—591no—
1654C23—591no—
1655C23—1182no—
1656C23—1181no—
1657C23—1181no—
1658C23—1181no—
1659C23—4721no—
1660C23—4721no—
1661C23—4721no—
1662C23—4721no—
1663C23—4721no—
1664C23—4721no—
1665C23—4721no—
1666C23—2361no—
1667C23—2361no—
1668C23—2362no—
1669C23—2362no—
1670C23—2362no—
1671C23—2362no—
1672C23—2362no—
1673C23C2×D4×D5911yescharacteristic
1674C23C2×D4×D5911yescharacteristic
1675Q8—21no—
1676Q8—21no—
1677Q8—21no—
1678Q8—42no—
1679Q8—81no—
1680Q8—1182no—
1681Q8—1181no—
1682Q8—1181no—
1683Q8—4721no—
1684Q8#41×D5912yes—
1685D4—21no—
1686D4—21no—
1687D4—21no—
1688D4—21no—
1689D4—41no—
1690D4—42no—
1691D4—42no—
1692D4—81no—
1693D4—81no—
1694D4—592no—
1695D4—1182no—
1696D4—1184no—
1697D4—1182no—
1698D4—1182no—
1699D4—1181no—
1700D4—1181no—
1701D4—1181no—
1702D4—1181no—
1703D4—1181no—
1704D4—4721no—
1705D4—4721no—
1706D4—4721no—
1707D4—4721no—
1708D4—4721no—
1709D4—4721no—
1710D4—4721no—
1711D4—4721no—
1712D4—4721no—
1713D4—4721no—
1714D4—2361no—
1715D4—2362no—
1716D4—2362no—
1717D4—2362no—
1718D4—2362no—
1719D4—2362no—
1720D4—2362no—
1721D4—2362no—
1722D4—2361no—
1723D4—2361no—
1724D4—2362no—
1725D4—2362no—
1726D4—2362no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—42no—
1738C2×C4—42no—
1739C2×C4—81no—
1740C2×C4—591no—
1741C2×C4—592no—
1742C2×C4—592no—
1743C2×C4—591no—
1744C2×C4—591no—
1745C2×C4—591no—
1746C2×C4—591no—
1747C2×C4—1182no—
1748C2×C4—1184no—
1749C2×C4—1182no—
1750C2×C4—1182no—
1751C2×C4—1181no—
1752C2×C4—1181no—
1753C2×C4—1181no—
1754C2×C4—1181no—
1755C2×C4—1181no—
1756C2×C4—1181no—
1757C2×C4—1181no—
1758C2×C4—1181no—
1759C2×C4—1181no—
1760C2×C4—4721no—
1761C2×C4—4721no—
1762C2×C4—4721no—
1763C2×C4—4721no—
1764C2×C4—4721no—
1765C2×C4—4721no—
1766C2×C4—4721no—
1767C2×C4—4721no—
1768C2×C4—2362no—
1769C2×C4—2362no—
1770C2×C4—2362no—
1771C2×C4—2362no—
1772C2×C4—2362no—
1773C2×C4C2×D4×D5911yescharacteristic
1774C2×C4C2×D4×D5911yescharacteristic
1775C2×C4C2×D4×D5911yescharacteristic
1776C2×C4C2×D4×D5911yescharacteristic
1777C2×C4C24×D5911yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—1181no—
1783C8—1181no—
1784C8—1181no—
1785C8—1181no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—592no—
1799C22—1181no—
1800C22—1181no—
1801C22—1181no—
1802C22—1182no—
1803C22—1181no—
1804C22—1181no—
1805C22—1181no—
1806C22—1181no—
1807C22—1181no—
1808C22—9442no—
1809C22—9442no—
1810C22—9442no—
1811C22—4722no—
1812C22—4724no—
1813C22—2361no—
1814C22—2361no—
1815C22—2361no—
1816C22—2361no—
1817C22—2361no—
1818C22—2361no—
1819C22—2361no—
1820C22—2361no—
1821C22C22×D4×D5911yescharacteristic
1822C4—21no—
1823C4—21no—
1824C4—22no—
1825C4—21no—
1826C4—21no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—592no—
1833C4—1181no—
1834C4—1181no—
1835C4—1181no—
1836C4—1181no—
1837C4—2361no—
1838C4—2361no—
1839C4—2361no—
1840C4—2361no—
1841C4—2361no—
1842C4C2×#41×D5911yescharacteristic
1843C4H(5,𝔽2)×D5911yescharacteristic
1844C2—41no—
1845C2—41no—
1846C2—81no—
1847C2—81no—
1848C2—1182no—
1849C2—4721no—
1850C2—4721no—
1851C2—2361no—
1852C2—2361no—
1853C2—2362no—
1854C2#546×D5911yescharacteristic
1855C2#2143886811yescharacteristic
1856C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3321C2
socleC22×C59C23×D4
hypercenter#3321D59
hypocenterC59#61195
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3321

Complements

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

NH ≅ G/Ntype
1. #21437807C2semidirect
2. #21437762C2semidirect
3. #21436364C2semidirect
4. #21436360C2semidirect
5. #21436333C2semidirect
6. #21436332C2semidirect
7. #21436275C2semidirect
8. #21436135C2semidirect
9. #21436131C2semidirect
10. #21436120C2semidirect
11. #21436119C2semidirect
12. #21436107C2semidirect
13. #21436095C2semidirect
14. #21436032C2semidirect
15. #21436031C2semidirect
16. #21435953C2semidirect
17. #21435952C2semidirect
18. #21434447C2semidirect
19. #21434077C2semidirect
20. #482×D59C2semidirect
21. #21433955C2semidirect
22. #21433753C2semidirect
23. #21433714C2semidirect
24. #21433636C2semidirect
25. #21433398C2semidirect
26. #21433313C2semidirect
27. #21432968C2semidirect
28. #21432819C2semidirect
29. #21432618C2semidirect
30. #21432614C2semidirect
31. C59×#3321C2semidirect
34. C2×#14273751C22semidirect
36. C2×#14273748C22semidirect
37. C2×#14273733C22semidirect
38. C2×M16×D59C22semidirect
39. #16838126C22semidirect
41. #16838120C22semidirect
42. #16838116C22semidirect
44. #16838104C22semidirect
45. #16838102C22semidirect
47. #16838092C22semidirect
48. #16838091C22semidirect
61. #16838029C22semidirect
66. #16837981C22semidirect
71. #16837912C22semidirect
77. #16837882C22semidirect
78. #16837881C22semidirect
79. #117×D59C22semidirect
80. #16837767C22semidirect
81. #16837765C22semidirect
82. #16837763C22semidirect
83. #16837758C22semidirect
84. #16837756C22semidirect
85. #16837750C22semidirect
86. #16837747C22semidirect
87. #16837742C22semidirect
88. #16837736C22semidirect
89. #16837735C22semidirect
90. #16837729C22semidirect
91. #16837728C22semidirect
92. #16837728C22semidirect
93. #16837727C22semidirect
94. #16837726C22semidirect
95. #16837726C22semidirect
96. #16837725C22semidirect
97. #16837724C22semidirect
98. #16837723C22semidirect
99. #16837717C22semidirect
100. #16837716C22semidirect
101. #16837711C22semidirect
102. #16837709C22semidirect
103. #16837703C22semidirect
104. #16837701C22semidirect
105. #16837691C22semidirect
106. #16837689C22semidirect
107. #16837685C22semidirect
108. #16837659C22semidirect
109. #16837658C22semidirect
110. #16837654C22semidirect
111. #16837653C22semidirect
112. #16837653C22semidirect
113. #16837648C22semidirect
114. #16837646C22semidirect
115. #16837637C22semidirect
116. #16837635C22semidirect
117. #16837632C22semidirect
118. #16837632C22semidirect
119. #16837631C22semidirect
120. #16837630C22semidirect
121. #16837628C22semidirect
122. #16837627C22semidirect
123. #16837621C22semidirect
124. #16837619C22semidirect
125. #16837603C22semidirect
126. #16837601C22semidirect
127. #16837597C22semidirect
128. #16837595C22semidirect
129. #16837567C22semidirect
130. #16837567C22semidirect
131. #16837567C22semidirect
132. #16837564C22semidirect
133. #16837558C22semidirect
134. #16837555C22semidirect
135. #16837555C22semidirect
136. #16837554C22semidirect
137. #16837546C22semidirect
138. #16837546C22semidirect
139. #16837546C22semidirect
140. #16837535C22semidirect
141. #16837535C22semidirect
142. #16837534C22semidirect
143. #16837504C22semidirect
144. #16837503C22semidirect
145. #16837501C22semidirect
146. C4×#11745672C22semidirect
147. #16837494C22semidirect
148. C4×#11745669C22semidirect
149. #16837482C22semidirect
150. #16837480C22semidirect
151. #16837478C22semidirect
152. #16837476C22semidirect
153. #16837476C22semidirect
154. #16837475C22semidirect
155. #16837467C22semidirect
156. C8×C22⋊D59C22semidirect
157. #16837441C22semidirect
158. #107×D59C22semidirect
159. #106×D59C22semidirect
160. #16837427C22semidirect
161. #16837411C22semidirect
162. #16837408C22semidirect
163. #16837406C22semidirect
164. #16837406C22semidirect
165. #16837405C22semidirect
166. #16837405C22semidirect
167. #16837403C22semidirect
170. #16837402C22semidirect
171. #16837402C22semidirect
172. #16837402C22semidirect
173. #16837400C22semidirect
175. #16837397C22semidirect
176. #16837397C22semidirect
177. #16837397C22semidirect
178. #16837397C22semidirect
179. #16837397C22semidirect
180. #16837397C22semidirect
181. C2×#14273649C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. C22⋊C8×D59C22semidirect
187. #16837359C22semidirect
188. C59×#555C22semidirect
190. C59×#489C22semidirect
191. C59×#485C22semidirect
192. C59×#482C22semidirect
193. C59×#475C22semidirect
194. C59×#469C22semidirect
195. C59×#465C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#448C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#419C22semidirect
202. C59×#416C22semidirect
923. #3321D59semidirect
972. #555C2×D59semidirect
1013. #489C2×D59semidirect
1019. #485C2×D59semidirect
1031. #482C2×D59semidirect
1041. #475C2×D59semidirect
1047. #469C2×D59semidirect
1057. #465C2×D59semidirect
1061. #463C2×D59semidirect
1077. #449C2×D59semidirect
1078. #448C2×D59semidirect
1085. #440C2×D59semidirect
1095. #435C2×D59semidirect
1103. #419C2×D59semidirect
1123. #416C2×D59semidirect
1131. C59#61195semidirect

Maximal subgroups

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

subgroupindex
#214378072
#214377622
#214363642
#214363602
#214363332
#214363322
#214362752
#214361352
#214361312
#214361202
#214361192
#214361072
#214360952
#214360322
#214360312
#214359532
#214359522
#214344472
#214340772
#482×D592
#214339552
#214337532
#214337142
#214336362
#214333982
#214333132
#214329682
#214328192
#214326182
#214326142
C59×#33212
#6119559