Finite Group Databasebeta

← #29466455

Subgroups — #29466455

Order 15104.

2156 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437804C211yesmaximal, characteristic, complemented
2#21437764C211yesmaximal, characteristic, complemented
3#21436427C211yesmaximal, characteristic, complemented
4#21436300C211yesmaximal, characteristic, complemented
5#21436299C211yesmaximal, characteristic, complemented
6#21436172C211yesmaximal, characteristic, complemented
7#21436171C211yesmaximal, characteristic, complemented
8#21436124C211yesmaximal, characteristic, complemented
9#21436112C211yesmaximal, characteristic, complemented
10#21436103C211yesmaximal, characteristic, complemented
11#21436102C211yesmaximal, characteristic, complemented
12#21436088C211yesmaximal, characteristic, complemented
13#21436084C211yesmaximal, characteristic, complemented
14#21435988C211yesmaximal, characteristic, complemented
15#21435976C211yesmaximal, characteristic, complemented
16#21435908C211yesmaximal, characteristic, complemented
17#21435907C211yesmaximal, characteristic, complemented
18#21434445C211yesmaximal, characteristic, complemented
19#21434069C211yesmaximal, characteristic, complemented
20#480×D59C211yesmaximal, characteristic, complemented
21#21433944C211yesmaximal, characteristic, complemented
22#21433764C211yesmaximal, characteristic, complemented
23#21433710C211yesmaximal, characteristic, complemented
24#21433632C211yesmaximal, characteristic, complemented
25#21433404C211yesmaximal, characteristic, complemented
26#21433317C211yesmaximal, characteristic, complemented
27#21432971C211yesmaximal, characteristic, complemented
28#21432825C211yesmaximal, characteristic, complemented
29#21432620C211yesmaximal, characteristic, complemented
30#417×D59C211yesmaximal, characteristic, complemented
31C59×#3333C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273750C2211yescharacteristic
36C2×#14273748C2211yescharacteristic, complemented
37C2×#14273735C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39#16838110C2211yescharacteristic, complemented
40#16838106—21no—
41#16838101—21no—
42#16838100C2211yescharacteristic, complemented
43#16838098C2211yescharacteristic, complemented
44#16838093C2211yescharacteristic, complemented
45#16838086C2211yescharacteristic, complemented
46#16838084—21no—
47#16838071C2211yescharacteristic
48#16838064C2211yescharacteristic
49#16838059C2211yescharacteristic
50#16838055C2211yescharacteristic, complemented
51#16838054—21no—
52#16838053C2211yescharacteristic, complemented
53#16838049—21no—
54#16838049C2211yescharacteristic
55#16838048—21no—
56#16838048C2211yescharacteristic
57#16838037—21no—
58#16838037C2211yescharacteristic
59#16838036—21no—
60#16838036C2211yescharacteristic
61#16838029C2211yescharacteristic, complemented
62#16838000—21no—
63#16837998—21no—
64#16837982C2211yescharacteristic, complemented
65#16837981—21no—
66#16837981C2211yescharacteristic
67#16837965—21no—
68#16837965C2211yescharacteristic
69#16837915—21no—
70#16837915C2211yescharacteristic, complemented
71#16837911—21no—
72#16837911—21no—
73#16837911C2211yescharacteristic
74#121×D59—21no—
75#121×D59C2211yescharacteristic
76#16837884C2211yescharacteristic
77#16837884C2211yescharacteristic, complemented
78#16837883C2211yescharacteristic, complemented
79C2×C4⋊C4×D59C2211yescharacteristic, complemented
80#16837766C2211yescharacteristic, complemented
81#16837765C2211yescharacteristic, complemented
82#16837764C2211yescharacteristic, complemented
83#16837760C2211yescharacteristic, complemented
84#16837757C2211yescharacteristic, complemented
85#16837755C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837745C2211yescharacteristic, complemented
88#16837744C2211yescharacteristic, complemented
89#16837739C2211yescharacteristic, complemented
90#16837737C2211yescharacteristic, complemented
91#16837725C2211yescharacteristic, complemented
92#16837723C2211yescharacteristic, complemented
93#16837717C2211yescharacteristic, complemented
94#16837717C2211yescharacteristic, complemented
95#16837716C2211yescharacteristic, complemented
96#16837715C2211yescharacteristic, complemented
97#16837714C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837713C2211yescharacteristic, complemented
101#16837709C2211yescharacteristic, complemented
102#16837707C2211yescharacteristic, complemented
103#16837705C2211yescharacteristic, complemented
104#16837703C2211yescharacteristic, complemented
105#16837695C2211yescharacteristic, complemented
106#16837681C2211yescharacteristic, complemented
107#16837679C2211yescharacteristic, complemented
108#16837655C2211yescharacteristic, complemented
109#16837653C2211yescharacteristic, complemented
110#16837650C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic, complemented
112#16837648C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837642C2211yescharacteristic, complemented
115#16837641C2211yescharacteristic, complemented
116#16837639C2211yescharacteristic, complemented
117#16837637C2211yescharacteristic, complemented
118#16837637C2211yescharacteristic, complemented
119#16837636C2211yescharacteristic, complemented
120#16837634C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837624C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837618C2211yescharacteristic, complemented
125#16837616C2211yescharacteristic, complemented
126#16837600C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837594C2211yescharacteristic, complemented
129#16837563C2211yescharacteristic, complemented
130#16837562C2211yescharacteristic, complemented
131#16837556C2211yescharacteristic, complemented
132#16837552C2211yescharacteristic, complemented
133#16837551C2211yescharacteristic, complemented
134#16837551C2211yescharacteristic, complemented
135#16837550C2211yescharacteristic, complemented
136#16837549C2211yescharacteristic, complemented
137#16837547C2211yescharacteristic, complemented
138#16837547C2211yescharacteristic, complemented
139#16837542C2211yescharacteristic, complemented
140#16837538C2211yescharacteristic, complemented
141#16837537C2211yescharacteristic, complemented
142#16837537C2211yescharacteristic, complemented
143#16837505C2211yescharacteristic, complemented
144#16837505C2211yescharacteristic, complemented
145#16837500C2211yescharacteristic, complemented
146#16837500C2211yescharacteristic, complemented
147Q16×Dic59C2211yescharacteristic, complemented
148C4×D472C2211yescharacteristic, complemented
149#16837484C2211yescharacteristic, complemented
150#16837477C2211yescharacteristic, complemented
151#16837474C2211yescharacteristic, complemented
152#16837472C2211yescharacteristic, complemented
153#16837471C2211yescharacteristic, complemented
154#16837471C2211yescharacteristic, complemented
155C8×D236C2211yescharacteristic, complemented
156(C22⋊D59)⋊C8C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#107×D59C2211yescharacteristic, complemented
159#107×D59C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837408C2211yescharacteristic, complemented
162#16837405C2211yescharacteristic, complemented
163#16837405C2211yescharacteristic, complemented
164#16837404C2211yescharacteristic, complemented
165#16837403C2211yescharacteristic, complemented
166#16837402C2211yescharacteristic
167#16837402C2211yescharacteristic
168#16837402C2211yescharacteristic, complemented
169#16837402C2211yescharacteristic, complemented
170#16837401C2211yescharacteristic, complemented
171#16837400C2211yescharacteristic, complemented
172#16837400C2211yescharacteristic, complemented
173#16837398C2211yescharacteristic, complemented
174#16837397C2211yescharacteristic
175#16837397C2211yescharacteristic, complemented
176#16837395C2211yescharacteristic, complemented
177#103×D59C2211yescharacteristic, complemented
178#103×D59C2211yescharacteristic, complemented
179C2×#14273647C2211yescharacteristic, complemented
180#102×D59C2211yescharacteristic, complemented
181#102×D59C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186C22⋊C8×D59C2211yescharacteristic, complemented
187#16837356C2211yescharacteristic, complemented
188C59×#554C2211yescharacteristic, complemented
189C59×#550C2211yescharacteristic
190C59×#486C2211yescharacteristic, complemented
191C59×#480C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#477C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C4×Q16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203#14273773—24no—
204#14273773—42no—
205C2×#11745689—21no—
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745685—21no—
210C2×#11745685—21no—
211C2×#11745685—21no—
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745687—21no—
215C2×#11745687C2311yescharacteristic
216#41×D59—24no—
217#41×D59—42no—
218C2×Q8×D59C2311yescharacteristic
219C22×D236—21no—
220C22×D236C2311yescharacteristic
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C22×C4×D59—21no—
231C22×C4×D59—21no—
232C22×C4×D59C2311yescharacteristic
233#14273754—42no—
234#14273750—24no—
235#14273748—42no—
236C2×#11745672C2311yescharacteristic
237C2×#11745660C2311yescharacteristic
238C2×#11745671C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240C2×#11745671C2311yescharacteristic
241C2×D472C2311yescharacteristic
242C2×D472C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745669C2311yescharacteristic
245#14273735—42no—
246C2×#11745664C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic
250M16×D59—42no—
251C22×C59⋊C8C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254C2×C8×D59C2311yescharacteristic
255C2×C8×D59C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257#14273726C2311yescharacteristic
258#14273725—21no—
259#14273723—21no—
260#14273723C2311yescharacteristic
261#14273722—21no—
262#14273722—21no—
263#14273721—21no—
264#14273720—21no—
265#14273719C2311yescharacteristic
266#14273718C2311yescharacteristic
267#14273717—21no—
268#14273717—21no—
269#14273717—21no—
270#14273717—21no—
271#14273715—21no—
272#14273715C2311yescharacteristic
273#14273714—21no—
274#14273714C2311yescharacteristic
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712D411yescharacteristic
283#14273710—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709D411yescharacteristic
288#14273707—21no—
289#14273707—21no—
290#14273707C2311yescharacteristic
291#14273706—21no—
292#14273706C2311yescharacteristic
293#14273705—21no—
294#14273705—21no—
295#14273705—21no—
296#14273705D411yescharacteristic
297#14273704—21no—
298#14273704—21no—
299#14273704D411yescharacteristic
300#14273703—21no—
301#14273703—21no—
302#14273703C2311yescharacteristic
303#14273703C2311yescharacteristic
304#14273702—21no—
305#14273702—21no—
306#14273702C2311yescharacteristic
307#14273702C2311yescharacteristic
308#14273702C2311yescharacteristic
309#14273701—21no—
310#14273701—21no—
311#14273701C2311yescharacteristic
312#14273701C2311yescharacteristic
313#14273701C2311yescharacteristic
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#14273699—21no—
326#14273699D411yescharacteristic
327#14273698—21no—
328#14273698—21no—
329#14273698—21no—
330#14273698—21no—
331#14273698—21no—
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273697—21no—
335#14273697—21no—
336#14273697D411yescharacteristic
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695D411yescharacteristic
345Q8×Dic59C2311yescharacteristic
346Q8×Dic59C2311yescharacteristic
347#14273692—21no—
348C4×D236—21no—
349C4×D236—21no—
350C4×D236—21no—
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353C4×D236C2311yescharacteristic
354#14273689—21no—
355#14273689—21no—
356#14273689—21no—
357#14273689—21no—
358#14273689C2311yescharacteristic
359#14273689C2311yescharacteristic
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59C2311yescharacteristic
366C4×C22⋊D59C2311yescharacteristic
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370#14273686C2311yescharacteristic
371#14273685—21no—
372#14273685C2311yescharacteristic
373#14273685C2311yescharacteristic
374#14273684—21no—
375#14273684—21no—
376#14273684—21no—
377#14273684C2311yescharacteristic
378C2×C4⋊Dic59C2311yescharacteristic
379C2×Dic59⋊C4—21no—
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59—21no—
383C4⋊C4×D59—21no—
384C4⋊C4×D59C2311yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C4⋊C4×D59C2311yescharacteristic
388C4⋊C4×D59C2311yescharacteristic
389C4⋊C4×D59C2311yescharacteristic
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
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#14273638C2311yescharacteristic
442#14273637C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452#127×C59—21no—
453#127×C59C2311yescharacteristic
454#125×C59—21no—
455C22⋊Q8×C59—21no—
456C22⋊Q8×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458C22⋊Q8×C59C2311yescharacteristic
459#121×C59—21no—
460#121×C59—21no—
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×D4×C59—21no—
466C4×D4×C59—21no—
467C4×D4×C59C2311yescharacteristic
468C2×C4⋊C4×C59C2311yescharacteristic
469C2×C4⋊C4×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472#107×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486C4×C8×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59C2×D411yescharacteristic
492#41×C59—22no—
493#41×C59—22no—
494#41×C59—41no—
495#41×C59—41no—
496C2×Q8×C59—21no—
497C2×Q8×C59C2411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59C2411yescharacteristic
513C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59C2×D411yescharacteristic
527C2×C22⋊D59C2×D411yescharacteristic
528C2×C22⋊D59C2×D411yescharacteristic
529C2×C22⋊D59C2×D411yescharacteristic
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59C2×D411yescharacteristic
533#11745689—22no—
534#11745689—22no—
535#11745689—22no—
536#11745689—22no—
537#11745689—41no—
538#11745689—82no—
539#11745689#4114yescomplemented
540Q8×D59—22no—
541Q8×D59—41no—
542#11745687—22no—
543#11745687—22no—
544#11745687—44no—
545D4×D59—22no—
546D4×D59—22no—
547D4×D59—22no—
548D4×D59—22no—
549D4×D59—41no—
550D4×D59—41no—
551D4×D59—44no—
552D4×D59—44no—
553D4×D59—44no—
554D4×D59—82no—
555D4×D59—82no—
556D4×D59—82no—
557#11745685—22no—
558#11745685—22no—
559#11745685—22no—
560#11745685—44no—
561#11745685—41no—
562#11745685—44no—
563#11745685—82no—
564C2×D236—21no—
565C2×D236—22no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236—21no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—41no—
573C2×D236—44no—
574C2×D236C2×D411yescharacteristic
575C2×D236C2×D411yescharacteristic
576C2×D236C2411yescharacteristic
577C2×D236C2411yescharacteristic
578C2×D236C2411yescharacteristic
579C2×C4×D59—21no—
580C2×C4×D59—22no—
581C2×C4×D59—22no—
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—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—44no—
597C2×C4×D59—82no—
598C2×C4×D59C2×D411yescharacteristic
599C2×C4×D59C2×D411yescharacteristic
600C2×C4×D59C2411yescharacteristic
601C2×C4×D59C2411yescharacteristic
602C2×C4×D59C2411yescharacteristic
603C2×Dic118—21no—
604C2×Dic118—21no—
605C2×Dic118C2×D411yescharacteristic
606C2×Dic118C2411yescharacteristic
607Q16×C59—22no—
608SD16×C59—41no—
609SD16×C59—41no—
610M16×C59—41no—
611M16×C59—41no—
612C2×C8×C59C2411yescharacteristic
613C2×C8×C59C2411yescharacteristic
614C2×C8×C59C2411yescharacteristic
615C2×C8×C59C2411yescharacteristic
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59C2×D411yescharacteristic
624C4⋊C4×C59C2411yescharacteristic
625C4⋊C4×C59C2411yescharacteristic
626C4⋊C4×C59C2411yescharacteristic
627C4⋊C4×C59C2411yescharacteristic
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59C2×D411yescharacteristic
633C22⋊C4×C59C2×D411yescharacteristic
634C42×C59—21no—
635C42×C59—21no—
636C42×C59C2411yescharacteristic
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59C2×D411yescharacteristic
644C22⋊Dic59C2×D411yescharacteristic
645#11745672—41no—
646#11745671—22no—
647#11745671—22no—
648#11745671—41no—
649#11745669—41no—
650#11745669—41no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4C2×D411yescharacteristic
669(C2×D59)⋊C4C2×D411yescharacteristic
670(C2×D59)⋊C4C2×D411yescharacteristic
671(C2×D59)⋊C4C2×D411yescharacteristic
672(C2×D59)⋊C4C2×D411yescharacteristic
673(C2×D59)⋊C4C2×D411yescharacteristic
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59—21no—
679C4⋊Dic59C2×D411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681C4⋊Dic59C2411yescharacteristic
682C4⋊Dic59C2411yescharacteristic
683C4⋊Dic59C2411yescharacteristic
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697Dic59⋊C4C2×D411yescharacteristic
698Dic59⋊C4C2×D411yescharacteristic
699Dic59⋊C4C2×D411yescharacteristic
700Dic59⋊C4C2×D411yescharacteristic
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59—21no—
704C4×Dic59—21no—
705C4×Dic59—21no—
706C4×Dic59C2411yescharacteristic
707#11745664—41no—
708C2×C59⋊C8—41no—
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712C2×C59⋊C8C2411yescharacteristic
713D472—22no—
714D472—41no—
715#11745660—41no—
716#11745659—22no—
717#11745659—22no—
718#11745659—41no—
719C8×D59—22no—
720C8×D59—22no—
721C8×D59—41no—
722C8×D59—41no—
723C8×D59—41no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59C22×D411yescharacteristic
727C23×C59C22×D411yescharacteristic
728C22×D59—21no—
729C22×D59—22no—
730C22×D59—22no—
731C22×D59—21no—
732C22×D59—21no—
733C22×D59—41no—
734C22×D59—42no—
735C22×D59—42no—
736C22×D59—42no—
737C22×D59—42no—
738C22×D59—42no—
739C22×D59—81no—
740C22×D59—81no—
741C22×D59—81no—
742C22×D59—81no—
743C22×D59—81no—
744C22×D59—81no—
745C22×D59—81no—
746C22×D59C22×D411yescharacteristic
747C22×D59C22×D411yescharacteristic
748C22×D59C22×D411yescharacteristic
749Q8×C59—21no—
750Q8×C59—21no—
751Q8×C59—21no—
752Q8×C59—81no—
753Q8×C59C2×#4112yes—
754D4×C59—21no—
755D4×C59—21no—
756D4×C59—21no—
757D4×C59—21no—
758D4×C59—41no—
759D4×C59—42no—
760D4×C59—42no—
761D4×C59—81no—
762D4×C59—81no—
763D4×C59—81no—
764D4×C59—81no—
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—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—42no—
776C2×C4×C59—42no—
777C2×C4×C59—81no—
778C2×C4×C59—81no—
779C2×C4×C59C22×D411yescharacteristic
780C2×C4×C59C22×D411yescharacteristic
781C2×C4×C59C22×D411yescharacteristic
782C2×C4×C59C22×D411yescharacteristic
783C2×C4×C59C2511yescharacteristic
784C22⋊D59—22no—
785C22⋊D59—22no—
786C22⋊D59—22no—
787C22⋊D59—41no—
788C22⋊D59—42no—
789C22⋊D59—42no—
790C22⋊D59—42no—
791C22⋊D59—42no—
792C22⋊D59—42no—
793C22⋊D59—42no—
794C22⋊D59—42no—
795C22⋊D59—81no—
796C22⋊D59—81no—
797C22⋊D59—81no—
798C22⋊D59—81no—
799C22⋊D59—81no—
800C2×Dic59—22no—
801C2×Dic59—21no—
802C2×Dic59—21no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—42no—
807C2×Dic59—81no—
808C2×Dic59C22×D411yescharacteristic
809C2×Dic59C22×D411yescharacteristic
810C2×Dic59C22×D411yescharacteristic
811C2×Dic59C22×D411yescharacteristic
812C2×Dic59C22×D411yescharacteristic
813D236—24no—
814D236—22no—
815D236—22no—
816D236—21no—
817D236—21no—
818D236—21no—
819D236—21no—
820D236—21no—
821D236—42no—
822D236—42no—
823D236—42no—
824D236—42no—
825D236—42no—
826D236—81no—
827D236C2×#4112yes—
828C4×D59—22no—
829C4×D59—21no—
830C4×D59—21no—
831C4×D59—21no—
832C4×D59—21no—
833C4×D59—22no—
834C4×D59—24no—
835C4×D59—42no—
836C4×D59—42no—
837C4×D59—42no—
838C4×D59—42no—
839C4×D59—42no—
840C4×D59—42no—
841C4×D59—81no—
842C4×D59—81no—
843C4×D59—81no—
844C4×D59—81no—
845C4×D59—81no—
846C4×D59—81no—
847C4×D59—81no—
848C4×D59—81no—
849C4×D59C2×#4112yes—
850C4×D59H(5,𝔽2)12yes—
851Dic118—22no—
852Dic118—21no—
853Dic118—21no—
854Dic118—42no—
855Dic118—81no—
856C8×C59—21no—
857C8×C59—21no—
858C8×C59—21no—
859C8×C59—21no—
860C59⋊C8—21no—
861C59⋊C8—21no—
862C59⋊C8—21no—
863C59⋊C8—21no—
864#61191—591nomaximal, Sylow
865C22×C59—21no—
866C22×C59—21no—
867C22×C59—21no—
868C22×C59—21no—
869C22×C59—21no—
870C22×C59—21no—
871C22×C59—41no—
872C22×C59—41no—
873C22×C59—41no—
874C22×C59—41no—
875C22×C59—41no—
876C22×C59—41no—
877C22×C59C23×D411yescharacteristic
878C2×D59—21no—
879C2×D59—21no—
880C2×D59—21no—
881C2×D59—21no—
882C2×D59—21no—
883C2×D59—22no—
884C2×D59—21no—
885C2×D59—21no—
886C2×D59—44no—
887C2×D59—41no—
888C2×D59—41no—
889C2×D59—41no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—84no—
896C2×D59—162no—
897C2×D59—162no—
898C2×D59—162no—
899C2×D59#54612yes—
900C2×D59#57612yes—
901C4×C59—21no—
902C4×C59—21no—
903C4×C59—22no—
904C4×C59—21no—
905C4×C59—21no—
906C4×C59—41no—
907C4×C59—41no—
908C4×C59—41no—
909C4×C59—41no—
910C4×C59—41no—
911C4×C59C22×#4111yescharacteristic
912C4×C59C2×H(5,𝔽2)11yescharacteristic
913Dic59—21no—
914Dic59—21no—
915Dic59—21no—
916Dic59—21no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921Dic59—41no—
922Dic59#54612yes—
923#3492—591no—
924#3488—591no—
925#3333—591no—
926#3333D5911yescharacteristic, complemented
927#3322—591no—
928#3322—591no—
929#3314—591no—
930#3314—591no—
931#3310—591no—
932#3310—591no—
933#3309—591no—
934#3309—591no—
935#3308—591no—
936#3308—591no—
937#3300—591no—
938#3300—591no—
939#3294—591no—
940#3294—591no—
941#3136—591no—
942#3098—591no—
943C2×#480—591no—
944#3083—591no—
945#3061—591no—
946#3055—591no—
947#3045—591no—
948#3012—591no—
949#3002—591no—
950#2951—591no—
951#2933—591no—
952#2897—591no—
953C2×#417—591no—
954C2×C59—41no—
955C2×C59—41no—
956C2×C59—81no—
957C2×C59—81no—
958C2×C59C2×#54611yescharacteristic
959C2×C59C2×#57611yescharacteristic
960C2×C59#358611yescharacteristic
961D59—22no—
962D59—22no—
963D59—41no—
964D59—42no—
965D59—81no—
966D59—81no—
967C2×H(5,𝔽2)—591no—
968C22×#41—591no—
969C2×AGL(1,ℤ/8)—591no—
970C2×#135—591no—
971C2×#135—591no—
972C2×#131—591no—
973C22×M16—591no—
974#554—591no—
975#554—1181no—
976#554C2×D5911yescharacteristic, complemented
977#553—591no—
978#553—591no—
979#553—1181no—
980#552—591no—
981#552—591no—
982#552—1181no—
983#550—591no—
984#550C2×D5911yescharacteristic
985#548—591no—
986#548—591no—
987#547—591no—
988#547—591no—
989#547—1181no—
990#546—591no—
991#546—591no—
992#546—1181no—
993#546—1181no—
994D42—591no—
995D42—591no—
996D42—1181no—
997D42—1181no—
998#544—591no—
999#539—1181no—
1000#539—1181no—
1001#537—591no—
1002#537—591no—
1003#537—1181no—
1004#535—591no—
1005#535—1181no—
1006#525—591no—
1007#525—591no—
1008#525—1181no—
1009#525—1181no—
1010#525—1181no—
1011C2×#121—591no—
1012C2×#121—1181no—
1013#520—591no—
1014#520—591no—
1015#520—591no—
1016C22×C4⋊C4—591no—
1017#490—591no—
1018#490—591no—
1019#489—591no—
1020#489—591no—
1021#488—591no—
1022#488—591no—
1023#486—591no—
1024#486C2×D5911yescharacteristic, complemented
1025#485—591no—
1026#485—591no—
1027#484—591no—
1028#484—591no—
1029#482—591no—
1030#482—591no—
1031#480—591no—
1032#480—591no—
1033#480—591no—
1034#480—591no—
1035#480—591no—
1036#480—591no—
1037#480—591no—
1038#480—591no—
1039#480C2×D5911yescharacteristic, complemented
1040#480C2×D5911yescharacteristic, complemented
1041#479—591no—
1042#479—591no—
1043#478—591no—
1044#478—591no—
1045#477—591no—
1046#477C2×D5911yescharacteristic, complemented
1047#474—591no—
1048#474—591no—
1049#469—591no—
1050#469—591no—
1051#468—591no—
1052#468—591no—
1053#468—591no—
1054#468—591no—
1055#468C2×D5911yescharacteristic, complemented
1056#468C2×D5911yescharacteristic, complemented
1057#467—591no—
1058#467—591no—
1059#466—591no—
1060#466—591no—
1061#466—591no—
1062#466—591no—
1063#465—591no—
1064#465—591no—
1065#464—591no—
1066#464—591no—
1067#463—591no—
1068#463—591no—
1069#460—591no—
1070#460C2×D5911yescharacteristic, complemented
1071#459—591no—
1072#459—591no—
1073#452—591no—
1074#452—591no—
1075#452C2×D5911yescharacteristic, complemented
1076#452C2×D5911yescharacteristic, complemented
1077#451—591no—
1078#450—591no—
1079#450—591no—
1080#450—591no—
1081#449—591no—
1082#449—591no—
1083#449—591no—
1084#449—591no—
1085#448—591no—
1086#447—591no—
1087#447—591no—
1088#447—591no—
1089#440—591no—
1090#440—591no—
1091#440—591no—
1092#440—591no—
1093C4×Q16—591no—
1094C4×Q16C2×D5911yescharacteristic, complemented
1095C4×D8—591no—
1096C4×D8—591no—
1097#436—591no—
1098#436C2×D5911yescharacteristic, complemented
1099#435—591no—
1100#435—591no—
1101#435—591no—
1102#435—591no—
1103C8×D4—591no—
1104C8×D4—591no—
1105#428—591no—
1106C2×#107—591no—
1107C2×#107—591no—
1108#424—591no—
1109#418—591no—
1110#418—591no—
1111#418—591no—
1112#417—591no—
1113#417—591no—
1114#417—591no—
1115#417—591no—
1116#417—591no—
1117#417—591no—
1118#417—591no—
1119#417—591no—
1120#417—591no—
1121#417C2×D5911yescharacteristic, complemented
1122#417C2×D5911yescharacteristic, complemented
1123#416—591no—
1124#416—591no—
1125#416—591no—
1126#416—591no—
1127C2×#103—591no—
1128C2×#103—591no—
1129C2×#102—591no—
1130C2×#102—591no—
1131C2×#102—591no—
1132C2×#102—591no—
1133C2×#102—591no—
1134C2×#102—591no—
1135#408—591no—
1136C2×C22⋊C8—591no—
1137#405—591no—
1138C59#6119111yescharacteristic, complemented, Sylow
1139H(5,𝔽2)—1184no—
1140H(5,𝔽2)—2362no—
1141C2×#41—591no—
1142C2×#41—591no—
1143C2×#41—591no—
1144C2×#41—591no—
1145C2×#41—591no—
1146C2×#41—591no—
1147C2×#41—1181no—
1148C2×#41—1181no—
1149C2×#41—1181no—
1150C2×#41—1181no—
1151C2×#41—1181no—
1152C2×#41—1184no—
1153C2×#41—2362no—
1154C2×#41C22×D5911yescharacteristic
1155C2×#41C22×D5911yescharacteristic
1156C22×Q8—591no—
1157C22×D4—591no—
1158C22×D4—591no—
1159C22×D4—591no—
1160C22×D4—591no—
1161C22×D4—1181no—
1162C22×D4—1181no—
1163C22×D4—1181no—
1164C22×D4—1181no—
1165C22×D4—1181no—
1166C22×D4—1181no—
1167C22×D4—1181no—
1168C23×C4—591no—
1169C23×C4—1181no—
1170C23×C4—1181no—
1171AGL(1,ℤ/8)—2362no—
1172#135—1184no—
1173#135—2362no—
1174C2×Q16—591no—
1175C2×Q16C22×D5911yescharacteristic
1176C2×SD16—591no—
1177C2×SD16—591no—
1178C2×SD16—591no—
1179C2×SD16—591no—
1180C2×SD16C22×D5911yescharacteristic
1181C2×SD16C22×D5911yescharacteristic
1182C2×D8—591no—
1183C2×D8—591no—
1184C2×D8—591no—
1185C2×D8—591no—
1186#131—2362no—
1187C2×M16—591no—
1188C2×M16—591no—
1189C2×M16—591no—
1190C2×M16—591no—
1191C2×M16—2362no—
1192C2×M16C22×D5911yescharacteristic
1193C2×M16C22×D5911yescharacteristic
1194C22×C8—591no—
1195C22×C8—591no—
1196C22×C8—591no—
1197C22×C8—591no—
1198C22×C8—591no—
1199C22×C8—591no—
1200C4⋊Q8—591no—
1201C4⋊Q8—1181no—
1202C4⋊Q8C22×D5911yescharacteristic
1203#127—21no—
1204#127—591no—
1205#127—1181no—
1206#127C22×D5911yescharacteristic
1207#126—1181no—
1208#126—1181no—
1209#126—1181no—
1210#126—1181no—
1211#125—21no—
1212#125—591no—
1213#125—591no—
1214#125—1181no—
1215#125—1181no—
1216#125—1181no—
1217#125—1181no—
1218#124—591no—
1219#124—591no—
1220#124—1181no—
1221#124—1181no—
1222#123—591no—
1223#123—591no—
1224#123—1181no—
1225#123—1181no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229#123—1181no—
1230#123—1181no—
1231#123—1181no—
1232#123—1181no—
1233#123—1181no—
1234#123—1181no—
1235C22⋊Q8—21no—
1236C22⋊Q8—21no—
1237C22⋊Q8—591no—
1238C22⋊Q8—591no—
1239C22⋊Q8—591no—
1240C22⋊Q8—591no—
1241C22⋊Q8—591no—
1242C22⋊Q8—591no—
1243C22⋊Q8—1181no—
1244C22⋊Q8—1181no—
1245C22⋊Q8—1181no—
1246C22⋊Q8—1181no—
1247C22⋊Q8—1181no—
1248C22⋊Q8—1181no—
1249C22⋊Q8—1181no—
1250C22⋊Q8—1181no—
1251C22⋊Q8—1181no—
1252C22⋊Q8—1181no—
1253C22⋊Q8C22×D5911yescharacteristic
1254C22⋊Q8C22×D5911yescharacteristic
1255#121—21no—
1256#121—21no—
1257#121—591no—
1258#121—591no—
1259#121—591no—
1260#121—591no—
1261#121—591no—
1262#121—591no—
1263#121—591no—
1264#121—591no—
1265#121—591no—
1266#121—591no—
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#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121—1181no—
1282#121—1181no—
1283#121—1181no—
1284#121—1181no—
1285#121—1181no—
1286#121—1181no—
1287#121C22×D5911yescharacteristic
1288#121C22×D5911yescharacteristic
1289#120—591no—
1290#120—591no—
1291#120—1181no—
1292#120—1181no—
1293#120—1181no—
1294#120—1181no—
1295#120—1181no—
1296#120—1181no—
1297#120—1181no—
1298#120—1181no—
1299#120—1181no—
1300C4×Q8—591no—
1301C4×Q8—591no—
1302C4×Q8—1181no—
1303C4×Q8C22×D5911yescharacteristic
1304C4×Q8C22×D5911yescharacteristic
1305C4×D4—21no—
1306C4×D4—21no—
1307C4×D4—591no—
1308C4×D4—591no—
1309C4×D4—591no—
1310C4×D4—591no—
1311C4×D4—591no—
1312C4×D4—591no—
1313C4×D4—591no—
1314C4×D4—1181no—
1315C4×D4—1181no—
1316C4×D4—1181no—
1317C4×D4—1181no—
1318C4×D4—1181no—
1319C4×D4—1181no—
1320C4×D4—1181no—
1321C4×D4—1181no—
1322C4×D4—1181no—
1323C4×D4—1181no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4—1181no—
1328C4×D4—1181no—
1329C4×D4C22×D5911yescharacteristic
1330#117—591no—
1331#117—591no—
1332#117—591no—
1333#117—591no—
1334#117—1181no—
1335#117—1181no—
1336#117—1181no—
1337#117—1181no—
1338C2×C4⋊C4—591no—
1339C2×C4⋊C4—591no—
1340C2×C4⋊C4—591no—
1341C2×C4⋊C4—591no—
1342C2×C4⋊C4—591no—
1343C2×C4⋊C4—591no—
1344C2×C4⋊C4—591no—
1345C2×C4⋊C4—1181no—
1346C2×C4⋊C4—1181no—
1347C2×C4⋊C4—1181no—
1348C2×C4⋊C4—1181no—
1349C2×C4⋊C4—1181no—
1350C2×C4⋊C4C22×D5911yescharacteristic
1351C2×C4⋊C4C22×D5911yescharacteristic
1352C2×C22⋊C4—1181no—
1353C2×C22⋊C4—1181no—
1354C2×C22⋊C4—1181no—
1355#107—591no—
1356#107—591no—
1357#107—591no—
1358#107—591no—
1359#107—591no—
1360#107—591no—
1361#107—591no—
1362#107C22×D5911yescharacteristic
1363#107C22×D5911yescharacteristic
1364#107C22×D5911yescharacteristic
1365#106—591no—
1366#106—591no—
1367C4⋊C8—591no—
1368C4⋊C8—591no—
1369C4⋊C8—591no—
1370C4⋊C8C22×D5911yescharacteristic
1371#103—591no—
1372#103—591no—
1373#103—591no—
1374#103—591no—
1375#103—591no—
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103—591no—
1380#103—591no—
1381#103C22×D5911yescharacteristic
1382#103C22×D5911yescharacteristic
1383#103C22×D5911yescharacteristic
1384#103C22×D5911yescharacteristic
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#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102C22×D5911yescharacteristic
1406#102C22×D5911yescharacteristic
1407#102C22×D5911yescharacteristic
1408#102C22×D5911yescharacteristic
1409#102C22×D5911yescharacteristic
1410#102C22×D5911yescharacteristic
1411C22⋊C8—591no—
1412C22⋊C8—591no—
1413C22⋊C8—591no—
1414C22⋊C8—591no—
1415C22⋊C8—591no—
1416C22⋊C8—591no—
1417C22⋊C8C22×D5911yescharacteristic
1418C22⋊C8C22×D5911yescharacteristic
1419#97—591no—
1420#97—591no—
1421C4×C8—591no—
1422C4×C8C22×D5911yescharacteristic
1423C24—591no—
1424C24—1181no—
1425C24—1181no—
1426C24—1181no—
1427C24—1181no—
1428#41—22no—
1429#41—22no—
1430#41—41no—
1431#41—41no—
1432#41—594no—
1433#41—1182no—
1434#41—1182no—
1435#41—1182no—
1436#41—1182no—
1437#41—1182no—
1438#41—1182no—
1439#41—1182no—
1440#41—1182no—
1441#41—1182no—
1442#41—4722no—
1443#41—4722no—
1444#41—2361no—
1445#41—2364no—
1446#41—2364no—
1447#41—2364no—
1448#41—2361no—
1449C2×Q8—21no—
1450C2×Q8—591no—
1451C2×Q8—591no—
1452C2×Q8—1181no—
1453C2×Q8—1181no—
1454C2×Q8—1182no—
1455C2×Q8—2361no—
1456C2×Q8C23×D5911yescharacteristic
1457C2×Q8C23×D5911yescharacteristic
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—591no—
1465C2×D4—591no—
1466C2×D4—591no—
1467C2×D4—591no—
1468C2×D4—591no—
1469C2×D4—591no—
1470C2×D4—591no—
1471C2×D4—591no—
1472C2×D4—591no—
1473C2×D4—1182no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—1181no—
1478C2×D4—1181no—
1479C2×D4—1181no—
1480C2×D4—1182no—
1481C2×D4—1182no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1182no—
1488C2×D4—1182no—
1489C2×D4—1181no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—4722no—
1498C2×D4—4722no—
1499C2×D4—4722no—
1500C2×D4—2361no—
1501C2×D4—2364no—
1502C2×D4—2361no—
1503C2×D4—2361no—
1504C2×D4—2364no—
1505C2×D4—2364no—
1506C2×D4—2364no—
1507C2×D4D4×D5911yescharacteristic
1508C2×D4C23×D5911yescharacteristic
1509C2×D4C23×D5911yescharacteristic
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—591no—
1515C22×C4—591no—
1516C22×C4—591no—
1517C22×C4—591no—
1518C22×C4—591no—
1519C22×C4—591no—
1520C22×C4—1181no—
1521C22×C4—1182no—
1522C22×C4—1182no—
1523C22×C4—1181no—
1524C22×C4—1181no—
1525C22×C4—1181no—
1526C22×C4—1181no—
1527C22×C4—1181no—
1528C22×C4—1181no—
1529C22×C4—1181no—
1530C22×C4—1181no—
1531C22×C4—1181no—
1532C22×C4—1181no—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—4722no—
1540C22×C4—2364no—
1541C22×C4C23×D5911yescharacteristic
1542C22×C4C23×D5911yescharacteristic
1543Q16—22no—
1544Q16—2361no—
1545SD16—41no—
1546SD16—41no—
1547SD16—1182no—
1548SD16—1182no—
1549SD16—2361no—
1550SD16—2361no—
1551D8—1182no—
1552D8—2361no—
1553D8—2361no—
1554D8—2361no—
1555M16—41no—
1556M16—41no—
1557M16—1182no—
1558M16—1182no—
1559M16—2361no—
1560M16—2361no—
1561C2×C8—591no—
1562C2×C8—591no—
1563C2×C8—591no—
1564C2×C8—591no—
1565C2×C8—1182no—
1566C2×C8—1182no—
1567C2×C8—2361no—
1568C2×C8—2361no—
1569C2×C8—2361no—
1570C2×C8—2361no—
1571C2×C8C23×D5911yescharacteristic
1572C2×C8C23×D5911yescharacteristic
1573C2×C8C23×D5911yescharacteristic
1574C2×C8C23×D5911yescharacteristic
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—591no—
1583C4⋊C4—591no—
1584C4⋊C4—591no—
1585C4⋊C4—591no—
1586C4⋊C4—591no—
1587C4⋊C4—591no—
1588C4⋊C4—591no—
1589C4⋊C4—591no—
1590C4⋊C4—591no—
1591C4⋊C4—1181no—
1592C4⋊C4—1181no—
1593C4⋊C4—1181no—
1594C4⋊C4—1181no—
1595C4⋊C4—1181no—
1596C4⋊C4—1181no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4D4×D5911yescharacteristic
1610C4⋊C4C23×D5911yescharacteristic
1611C4⋊C4C23×D5911yescharacteristic
1612C4⋊C4C23×D5911yescharacteristic
1613C4⋊C4C23×D5911yescharacteristic
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—591no—
1619C22⋊C4—591no—
1620C22⋊C4—591no—
1621C22⋊C4—591no—
1622C22⋊C4—591no—
1623C22⋊C4—591no—
1624C22⋊C4—591no—
1625C22⋊C4—591no—
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⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4D4×D5911yescharacteristic
1650C22⋊C4D4×D5911yescharacteristic
1651C42—21no—
1652C42—21no—
1653C42—591no—
1654C42—1181no—
1655C42—1181no—
1656C42—1181no—
1657C42—1181no—
1658C42—1181no—
1659C42C23×D5911yescharacteristic
1660C23—21no—
1661C23—21no—
1662C23—591no—
1663C23—591no—
1664C23—591no—
1665C23—1182no—
1666C23—1182no—
1667C23—1181no—
1668C23—1181no—
1669C23—1181no—
1670C23—4721no—
1671C23—4721no—
1672C23—4721no—
1673C23—4721no—
1674C23—4721no—
1675C23—4721no—
1676C23—4721no—
1677C23—2361no—
1678C23—2362no—
1679C23—2362no—
1680C23—2362no—
1681C23—2362no—
1682C23—2362no—
1683C23C2×D4×D5911yescharacteristic
1684C23C2×D4×D5911yescharacteristic
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—81no—
1689Q8—1182no—
1690Q8—1181no—
1691Q8—1181no—
1692Q8—4721no—
1693Q8—2362no—
1694Q8#41×D5912yes—
1695D4—21no—
1696D4—21no—
1697D4—21no—
1698D4—21no—
1699D4—41no—
1700D4—42no—
1701D4—42no—
1702D4—81no—
1703D4—81no—
1704D4—81no—
1705D4—81no—
1706D4—592no—
1707D4—1182no—
1708D4—1182no—
1709D4—1184no—
1710D4—1182no—
1711D4—1182no—
1712D4—1182no—
1713D4—1181no—
1714D4—1181no—
1715D4—1181no—
1716D4—1181no—
1717D4—1181no—
1718D4—4721no—
1719D4—4721no—
1720D4—4721no—
1721D4—4721no—
1722D4—4721no—
1723D4—4721no—
1724D4—2362no—
1725D4—2362no—
1726D4—2362no—
1727D4—2362no—
1728D4—2362no—
1729D4—2362no—
1730D4—2361no—
1731D4—2362no—
1732D4—2362no—
1733D4—2362no—
1734D4—2362no—
1735D4—2362no—
1736D4—2362no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—42no—
1748C2×C4—42no—
1749C2×C4—81no—
1750C2×C4—81no—
1751C2×C4—591no—
1752C2×C4—592no—
1753C2×C4—592no—
1754C2×C4—591no—
1755C2×C4—591no—
1756C2×C4—591no—
1757C2×C4—591no—
1758C2×C4—1182no—
1759C2×C4—1184no—
1760C2×C4—1182no—
1761C2×C4—1182no—
1762C2×C4—1181no—
1763C2×C4—1181no—
1764C2×C4—1181no—
1765C2×C4—1181no—
1766C2×C4—1181no—
1767C2×C4—1181no—
1768C2×C4—1181no—
1769C2×C4—1181no—
1770C2×C4—1181no—
1771C2×C4—4721no—
1772C2×C4—4721no—
1773C2×C4—4721no—
1774C2×C4—4721no—
1775C2×C4—4721no—
1776C2×C4—4721no—
1777C2×C4—4721no—
1778C2×C4—4721no—
1779C2×C4—4721no—
1780C2×C4—2362no—
1781C2×C4—2362no—
1782C2×C4—2362no—
1783C2×C4—2362no—
1784C2×C4—2362no—
1785C2×C4—2362no—
1786C2×C4—2362no—
1787C2×C4C2×D4×D5911yescharacteristic
1788C2×C4C2×D4×D5911yescharacteristic
1789C2×C4C2×D4×D5911yescharacteristic
1790C2×C4C2×D4×D5911yescharacteristic
1791C2×C4C24×D5911yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—1181no—
1797C8—1181no—
1798C8—1181no—
1799C8—1181no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—592no—
1813C22—592no—
1814C22—1181no—
1815C22—1181no—
1816C22—1181no—
1817C22—1181no—
1818C22—1182no—
1819C22—1181no—
1820C22—1181no—
1821C22—1181no—
1822C22—9442no—
1823C22—9442no—
1824C22—9442no—
1825C22—4724no—
1826C22—2364no—
1827C22—2361no—
1828C22—2361no—
1829C22—2361no—
1830C22—2361no—
1831C22—2361no—
1832C22—2361no—
1833C22—2361no—
1834C22—2361no—
1835C22C22×D4×D5911yescharacteristic
1836C4—21no—
1837C4—21no—
1838C4—22no—
1839C4—21no—
1840C4—21no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—592no—
1847C4—1181no—
1848C4—1181no—
1849C4—1181no—
1850C4—1181no—
1851C4—2361no—
1852C4—2361no—
1853C4—2361no—
1854C4—2361no—
1855C4—2361no—
1856C4C2×#41×D5911yescharacteristic
1857C4H(5,𝔽2)×D5911yescharacteristic
1858C2—41no—
1859C2—41no—
1860C2—81no—
1861C2—81no—
1862C2—1182no—
1863C2—1182no—
1864C2—4721no—
1865C2—4721no—
1866C2—2361no—
1867C2—2362no—
1868C2#546×D5911yescharacteristic
1869C2#576×D5911yescharacteristic
1870C2#2143887911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3333C2
socleC22×C59C23×D4
hypercenter#3333D59
hypocenterC59#61191
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3333

Complements

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

NH ≅ G/Ntype
1. #21437804C2semidirect
2. #21437764C2semidirect
3. #21436427C2semidirect
4. #21436300C2semidirect
5. #21436299C2semidirect
6. #21436172C2semidirect
7. #21436171C2semidirect
8. #21436124C2semidirect
9. #21436112C2semidirect
10. #21436103C2semidirect
11. #21436102C2semidirect
12. #21436088C2semidirect
13. #21436084C2semidirect
14. #21435988C2semidirect
15. #21435976C2semidirect
16. #21435908C2semidirect
17. #21435907C2semidirect
18. #21434445C2semidirect
19. #21434069C2semidirect
20. #480×D59C2semidirect
21. #21433944C2semidirect
22. #21433764C2semidirect
23. #21433710C2semidirect
24. #21433632C2semidirect
25. #21433404C2semidirect
26. #21433317C2semidirect
27. #21432971C2semidirect
28. #21432825C2semidirect
29. #21432620C2semidirect
30. #417×D59C2semidirect
31. C59×#3333C2semidirect
34. C2×#14273754C22semidirect
36. C2×#14273748C22semidirect
37. C2×#14273735C22semidirect
38. C2×M16×D59C22semidirect
39. #16838110C22semidirect
42. #16838100C22semidirect
43. #16838098C22semidirect
44. #16838093C22semidirect
45. #16838086C22semidirect
50. #16838055C22semidirect
52. #16838053C22semidirect
61. #16838029C22semidirect
64. #16837982C22semidirect
70. #16837915C22semidirect
77. #16837884C22semidirect
78. #16837883C22semidirect
79. C2×C4⋊C4×D59C22semidirect
80. #16837766C22semidirect
81. #16837765C22semidirect
82. #16837764C22semidirect
83. #16837760C22semidirect
84. #16837757C22semidirect
85. #16837755C22semidirect
86. #16837747C22semidirect
87. #16837745C22semidirect
88. #16837744C22semidirect
89. #16837739C22semidirect
90. #16837737C22semidirect
91. #16837725C22semidirect
92. #16837723C22semidirect
93. #16837717C22semidirect
94. #16837717C22semidirect
95. #16837716C22semidirect
96. #16837715C22semidirect
97. #16837714C22semidirect
98. #16837714C22semidirect
99. #16837714C22semidirect
100. #16837713C22semidirect
101. #16837709C22semidirect
102. #16837707C22semidirect
103. #16837705C22semidirect
104. #16837703C22semidirect
105. #16837695C22semidirect
106. #16837681C22semidirect
107. #16837679C22semidirect
108. #16837655C22semidirect
109. #16837653C22semidirect
110. #16837650C22semidirect
111. #16837649C22semidirect
112. #16837648C22semidirect
113. #16837645C22semidirect
114. #16837642C22semidirect
115. #16837641C22semidirect
116. #16837639C22semidirect
117. #16837637C22semidirect
118. #16837637C22semidirect
119. #16837636C22semidirect
120. #16837634C22semidirect
121. #16837628C22semidirect
122. #16837624C22semidirect
123. #16837622C22semidirect
124. #16837618C22semidirect
125. #16837616C22semidirect
126. #16837600C22semidirect
127. #16837596C22semidirect
128. #16837594C22semidirect
129. #16837563C22semidirect
130. #16837562C22semidirect
131. #16837556C22semidirect
132. #16837552C22semidirect
133. #16837551C22semidirect
134. #16837551C22semidirect
135. #16837550C22semidirect
136. #16837549C22semidirect
137. #16837547C22semidirect
138. #16837547C22semidirect
139. #16837542C22semidirect
140. #16837538C22semidirect
141. #16837537C22semidirect
142. #16837537C22semidirect
143. #16837505C22semidirect
144. #16837505C22semidirect
145. #16837500C22semidirect
146. #16837500C22semidirect
147. Q16×Dic59C22semidirect
148. C4×D472C22semidirect
149. #16837484C22semidirect
150. #16837477C22semidirect
151. #16837474C22semidirect
152. #16837472C22semidirect
153. #16837471C22semidirect
154. #16837471C22semidirect
155. C8×D236C22semidirect
156. (C22⋊D59)⋊C8C22semidirect
157. #16837443C22semidirect
158. #107×D59C22semidirect
159. #107×D59C22semidirect
160. #16837427C22semidirect
161. #16837408C22semidirect
162. #16837405C22semidirect
163. #16837405C22semidirect
164. #16837404C22semidirect
165. #16837403C22semidirect
168. #16837402C22semidirect
169. #16837402C22semidirect
170. #16837401C22semidirect
171. #16837400C22semidirect
172. #16837400C22semidirect
173. #16837398C22semidirect
175. #16837397C22semidirect
176. #16837395C22semidirect
177. #103×D59C22semidirect
178. #103×D59C22semidirect
179. C2×#14273647C22semidirect
180. #102×D59C22semidirect
181. #102×D59C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. C22⋊C8×D59C22semidirect
187. #16837356C22semidirect
188. C59×#554C22semidirect
190. C59×#486C22semidirect
191. C59×#480C22semidirect
192. C59×#480C22semidirect
193. C59×#477C22semidirect
194. C59×#468C22semidirect
195. C59×#468C22semidirect
196. C59×#460C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C4×Q16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#417C22semidirect
202. C59×#417C22semidirect
539. #11745689#41semidirect
926. #3333D59semidirect
976. #554C2×D59semidirect
1024. #486C2×D59semidirect
1039. #480C2×D59semidirect
1040. #480C2×D59semidirect
1046. #477C2×D59semidirect
1055. #468C2×D59semidirect
1056. #468C2×D59semidirect
1070. #460C2×D59semidirect
1075. #452C2×D59semidirect
1076. #452C2×D59semidirect
1094. C4×Q16C2×D59semidirect
1098. #436C2×D59semidirect
1121. #417C2×D59semidirect
1122. #417C2×D59semidirect
1138. C59#61191semidirect

Maximal subgroups

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

subgroupindex
#214378042
#214377642
#214364272
#214363002
#214362992
#214361722
#214361712
#214361242
#214361122
#214361032
#214361022
#214360882
#214360842
#214359882
#214359762
#214359082
#214359072
#214344452
#214340692
#480×D592
#214339442
#214337642
#214337102
#214336322
#214334042
#214333172
#214329712
#214328252
#214326202
#417×D592
C59×#33332
#6119159