Finite Group Databasebeta

← #29483901

Subgroups — #29483901

Order 15104.

1900 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438430C211yesmaximal, characteristic, complemented
2#21438200C211yesmaximal, characteristic, complemented
3#21437134C211yesmaximal, characteristic, complemented
4#21436858C211yesmaximal, characteristic, complemented
5#21436827C211yesmaximal, characteristic, complemented
6#21436340C211yesmaximal, characteristic, complemented
7#21436319C211yesmaximal, characteristic, complemented
8#21436259C211yesmaximal, characteristic, complemented
9#21436244C211yesmaximal, characteristic, complemented
10#21436122C211yesmaximal, characteristic, complemented
11#21436107C211yesmaximal, characteristic, complemented
12#21435726C211yesmaximal, characteristic, complemented
13#21435719C211yesmaximal, characteristic, complemented
14#21435687C211yesmaximal, characteristic, complemented
15#21435635C211yesmaximal, characteristic, complemented
16#21435597C211yesmaximal, characteristic, complemented
17#21435590C211yesmaximal, characteristic, complemented
18#21435533C211yesmaximal, characteristic, complemented
19#21435504C211yesmaximal, characteristic, complemented
20#21435495C211yesmaximal, characteristic, complemented
21#21435183C211yesmaximal, characteristic, complemented
22#21435141C211yesmaximal, characteristic, complemented
23#21435110C211yesmaximal, characteristic, complemented
24#21434386C211yesmaximal, characteristic, complemented
25#21434291C211yesmaximal, characteristic, complemented
26#21434209C211yesmaximal, characteristic, complemented
27#21433636C211yesmaximal, characteristic, complemented
28#21433615C211yesmaximal, characteristic, complemented
29#21433571C211yesmaximal, characteristic, complemented
30#21433265C211yesmaximal, characteristic, complemented
31C59×#3403C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic, complemented
33C2×#14273751C2211yescharacteristic, complemented
34C2×#14273751C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C2×#14273748C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38#16838142—21no—
39#16838142—21no—
40#16838136—21no—
41#16838130C2211yescharacteristic, complemented
42#16838117C2211yescharacteristic, complemented
43#16838114—21no—
44#16838102C2211yescharacteristic, complemented
45#16838101—21no—
46#16838093C2211yescharacteristic, complemented
47#16838089—21no—
48#16838074C2211yescharacteristic
49#16838074C2211yescharacteristic
50#16838072C2211yescharacteristic, complemented
51#16838060C2211yescharacteristic, complemented
52#16838060C2211yescharacteristic, complemented
53#16838045—21no—
54#16838045C2211yescharacteristic
55#16838045C2211yescharacteristic
56D4×D236—21no—
57D4×D236C2211yescharacteristic
58D4×D236C2211yescharacteristic
59#16838037C2211yescharacteristic
60#16838021C2211yescharacteristic, complemented
61#16838016—21no—
62#16838006C2211yescharacteristic, complemented
63#16838004—21no—
64#16838003—21no—
65#16838003C2211yescharacteristic
66#16838003C2211yescharacteristic
67#16837970—21no—
68#16837970C2211yescharacteristic
69#16837970C2211yescharacteristic
70#16837963—21no—
71#16837963—21no—
72#127×D59C2211yescharacteristic
73#16837939C2211yescharacteristic
74#16837939C2211yescharacteristic
75#16837932—21no—
76#16837931C2211yescharacteristic, complemented
77#16837929—21no—
78#16837881C2211yescharacteristic, complemented
79#16837878C2211yescharacteristic, complemented
80C4×#11745687C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic, complemented
82#16837792C2211yescharacteristic, complemented
83#16837778C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837767C2211yescharacteristic, complemented
86#16837766C2211yescharacteristic
87#16837761C2211yescharacteristic, complemented
88#16837756C2211yescharacteristic, complemented
89#16837749C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837729C2211yescharacteristic
92#16837729C2211yescharacteristic, complemented
93#16837724C2211yescharacteristic, complemented
94#16837719C2211yescharacteristic, complemented
95#16837717C2211yescharacteristic, complemented
96#16837711C2211yescharacteristic, complemented
97#16837709C2211yescharacteristic, complemented
98#16837708C2211yescharacteristic, complemented
99#16837704C2211yescharacteristic, complemented
100#16837703C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic, complemented
102#16837702C2211yescharacteristic, complemented
103#16837700C2211yescharacteristic, complemented
104#16837692C2211yescharacteristic, complemented
105#16837683C2211yescharacteristic, complemented
106#16837657C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic
108#16837654C2211yescharacteristic, complemented
109#16837654C2211yescharacteristic, complemented
110#16837652C2211yescharacteristic, complemented
111#16837651C2211yescharacteristic
112#16837645C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837635C2211yescharacteristic, complemented
116#16837635C2211yescharacteristic, complemented
117#16837634C2211yescharacteristic, complemented
118#16837627C2211yescharacteristic, complemented
119#16837626C2211yescharacteristic, complemented
120#16837621C2211yescharacteristic, complemented
121#16837621C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837614C2211yescharacteristic, complemented
125#16837614C2211yescharacteristic, complemented
126#16837603C2211yescharacteristic, complemented
127#16837603C2211yescharacteristic, complemented
128#16837603C2211yescharacteristic, complemented
129#16837602C2211yescharacteristic, complemented
130#16837601C2211yescharacteristic, complemented
131#16837601C2211yescharacteristic, complemented
132#16837600C2211yescharacteristic, complemented
133#16837600C2211yescharacteristic, complemented
134#16837599C2211yescharacteristic
135#16837597C2211yescharacteristic, complemented
136#16837597C2211yescharacteristic, complemented
137#16837595C2211yescharacteristic, complemented
138#16837595C2211yescharacteristic, complemented
139#16837595C2211yescharacteristic, complemented
140#16837595C2211yescharacteristic, complemented
141#16837594C2211yescharacteristic, complemented
142#16837563C2211yescharacteristic, complemented
143#16837561C2211yescharacteristic, complemented
144#16837551C2211yescharacteristic, complemented
145#16837551C2211yescharacteristic, complemented
146#16837551C2211yescharacteristic, complemented
147#16837548C2211yescharacteristic
148#16837548C2211yescharacteristic, complemented
149#16837546C2211yescharacteristic, complemented
150#16837546C2211yescharacteristic, complemented
151#16837546C2211yescharacteristic, complemented
152#16837544C2211yescharacteristic, complemented
153#16837542C2211yescharacteristic, complemented
154#16837539C2211yescharacteristic, complemented
155#16837534C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837533C2211yescharacteristic, complemented
161#16837512C2211yescharacteristic, complemented
162#16837512C2211yescharacteristic, complemented
163#16837507C2211yescharacteristic, complemented
164#16837504C2211yescharacteristic, complemented
165#16837504C2211yescharacteristic, complemented
166#16837502C2211yescharacteristic, complemented
167C4×#11745660C2211yescharacteristic, complemented
168C4×#11745671C2211yescharacteristic, complemented
169C4×#11745670C2211yescharacteristic, complemented
170#16837481C2211yescharacteristic, complemented
171#16837479C2211yescharacteristic, complemented
172#16837475C2211yescharacteristic, complemented
173#16837475C2211yescharacteristic, complemented
174#16837472C2211yescharacteristic, complemented
175#16837472C2211yescharacteristic, complemented
176#16837464C2211yescharacteristic, complemented
177#16837461C2211yescharacteristic, complemented
178#16837457C2211yescharacteristic, complemented
179#16837427C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837402C2211yescharacteristic, complemented
186#16837397C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#559C2211yescharacteristic
189C59×#559C2211yescharacteristic, complemented
190C59×#496C2211yescharacteristic
191C59×#496C2211yescharacteristic, complemented
192C59×#495C2211yescharacteristic, complemented
193C59×#464C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#459C2211yescharacteristic
198C59×#459C2211yescharacteristic, complemented
199C59×#446C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C4×D8×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745689C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C22×D236—21no—
210C22×D236—21no—
211C2×D4×D59—21no—
212C2×D4×D59—21no—
213C2×D4×D59—21no—
214C2×D4×D59C2311yescharacteristic
215C2×D4×D59C2311yescharacteristic
216C2×D4×D59C2311yescharacteristic
217C2×D4×D59C2311yescharacteristic
218#14273759—42no—
219#14273751—42no—
220#14273751—42no—
221#14273751—42no—
222#14273748—42no—
223C2×#11745672C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232SD16×D59—42no—
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745659C2311yescharacteristic
240C2×#11745659C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244C2×C8×D59C2311yescharacteristic
245#14273727C2311yescharacteristic
246#14273725—21no—
247#14273724—21no—
248#14273724C2311yescharacteristic
249#14273724C2311yescharacteristic
250#14273724C2311yescharacteristic
251#14273723—21no—
252#14273723—21no—
253#14273723—21no—
254#14273723C2311yescharacteristic
255#14273723C2311yescharacteristic
256#14273722—21no—
257#14273722D411yescharacteristic
258#14273722D411yescharacteristic
259#14273721—21no—
260#14273720—21no—
261#14273720—21no—
262#14273720—21no—
263#14273719C2311yescharacteristic
264#14273719C2311yescharacteristic
265#14273718D411yescharacteristic
266#14273718C2311yescharacteristic
267#14273717—21no—
268#14273717—21no—
269#14273717—21no—
270#14273716D411yescharacteristic
271#14273716C2311yescharacteristic
272#14273713—21no—
273#14273713—21no—
274#14273713—21no—
275#14273713—21no—
276#14273713—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712D411yescharacteristic
280#14273712D411yescharacteristic
281#14273711—21no—
282#14273710—21no—
283#14273710—21no—
284#14273710—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273708—21no—
291#14273708—21no—
292#14273704—21no—
293#14273704—21no—
294#14273704—21no—
295#14273703D411yescharacteristic
296#14273703C2311yescharacteristic
297#14273703C2311yescharacteristic
298#14273703C2311yescharacteristic
299#14273702—21no—
300#14273702—21no—
301#14273702—21no—
302#14273702—21no—
303#14273702—21no—
304#14273702D411yescharacteristic
305#14273702C2311yescharacteristic
306#14273702C2311yescharacteristic
307#14273702C2311yescharacteristic
308#14273701—21no—
309#14273701—21no—
310#14273701—21no—
311#14273701—21no—
312#14273701—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273698—21no—
329#14273698C2311yescharacteristic
330#14273698C2311yescharacteristic
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273698C2311yescharacteristic
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273697—21no—
339#14273697—21no—
340#14273697—21no—
341#14273697—21no—
342#14273697—21no—
343#14273697—21no—
344#14273697—21no—
345#14273695—21no—
346#14273695—21no—
347Q8×Dic59C2311yescharacteristic
348C4×Dic118—21no—
349C4×Dic118C2311yescharacteristic
350C4×Dic118C2311yescharacteristic
351C4×Dic118C2311yescharacteristic
352#14273692—21no—
353#14273692—21no—
354#14273692C2311yescharacteristic
355C4×D236—21no—
356C4×D236—21no—
357C4×D236C2311yescharacteristic
358C4×D236C2311yescharacteristic
359C4×D236C2311yescharacteristic
360C4×D236C2311yescharacteristic
361C4×D236C2311yescharacteristic
362C4×D236C2311yescharacteristic
363D4×Dic59—21no—
364D4×Dic59C2311yescharacteristic
365D4×Dic59C2311yescharacteristic
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374#14273686—21no—
375#14273685—21no—
376#14273685C2311yescharacteristic
377#14273685C2311yescharacteristic
378#14273684—21no—
379#14273684—21no—
380#14273684—21no—
381#14273684C2311yescharacteristic
382#14273684C2311yescharacteristic
383#14273683—21no—
384#14273683—21no—
385#14273683—21no—
386C2×Dic59⋊C4—21no—
387C4⋊C4×D59C2311yescharacteristic
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C2×C4×Dic59—21no—
391C42×D59C2311yescharacteristic
392#14273661C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273659C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400C4⋊(C59⋊C8)C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438#14273638C2311yescharacteristic
439#14273638C2311yescharacteristic
440C4×C59⋊C8C2311yescharacteristic
441C2×Q16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×D8×C59C2311yescharacteristic
447C2×D8×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450#127×C59C2311yescharacteristic
451#127×C59C2311yescharacteristic
452#124×C59—21no—
453#124×C59—21no—
454#124×C59C2311yescharacteristic
455#124×C59C2311yescharacteristic
456#124×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#123×C59—21no—
459#123×C59—21no—
460#123×C59—21no—
461#123×C59—21no—
462C4×Q8×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×D4×C59—21no—
466C4×D4×C59—21no—
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C2×Q8×C59C2×D411yescharacteristic
489C2×Q8×C59C2411yescharacteristic
490C2×Q8×C59C2411yescharacteristic
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59C2411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C2×D4×C59C2411yescharacteristic
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523#11745689—41no—
524#11745689—41no—
525#11745689—41no—
526#11745689—41no—
527#11745689—82no—
528Q8×D59—22no—
529Q8×D59—41no—
530#11745687—22no—
531#11745687—22no—
532#11745687—41no—
533#11745687—41no—
534D4×D59—41no—
535D4×D59—41no—
536D4×D59—41no—
537D4×D59—41no—
538D4×D59—41no—
539D4×D59—41no—
540D4×D59—41no—
541D4×D59—41no—
542D4×D59—82no—
543D4×D59—82no—
544D4×D59—82no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—21no—
555C2×D236—21no—
556C2×D236—82no—
557C2×D236—82no—
558C2×D236C2×D411yescharacteristic
559C2×D236C2×D411yescharacteristic
560C2×D236C2×D411yescharacteristic
561C2×D236C2411yescharacteristic
562C2×D236C2411yescharacteristic
563C2×D236C2411yescharacteristic
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59C2×D411yescharacteristic
572C2×C4×D59C2×D411yescharacteristic
573C2×C4×D59C2411yescharacteristic
574C2×C4×D59C2411yescharacteristic
575C2×C4×D59C2411yescharacteristic
576C2×Dic118—21no—
577C2×Dic118—21no—
578C2×Dic118C2411yescharacteristic
579Q16×C59—41no—
580SD16×C59—41no—
581SD16×C59—41no—
582SD16×C59—41no—
583SD16×C59—41no—
584D8×C59—41no—
585D8×C59—41no—
586D8×C59—41no—
587D8×C59—41no—
588C2×C8×C59C2411yescharacteristic
589C2×C8×C59C2411yescharacteristic
590C2×C8×C59C2411yescharacteristic
591C2×C8×C59C2411yescharacteristic
592C4⋊C4×C59—21no—
593C4⋊C4×C59—21no—
594C4⋊C4×C59C2×D411yescharacteristic
595C4⋊C4×C59C2×D411yescharacteristic
596C4⋊C4×C59C2×D411yescharacteristic
597C4⋊C4×C59C2411yescharacteristic
598C4⋊C4×C59C2411yescharacteristic
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59—21no—
611C42×C59—21no—
612C42×C59—21no—
613C42×C59C2411yescharacteristic
614C42×C59C2411yescharacteristic
615C42×C59C2411yescharacteristic
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624#11745672—22no—
625#11745671—41no—
626#11745671—41no—
627#11745671—41no—
628#11745670—22no—
629#11745670—22no—
630#11745669—41no—
631#11745669—41no—
632#11745669—41no—
633#11745669—41no—
634#11745669—41no—
635#11745669—41no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652(C2×D59)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59C2×D411yescharacteristic
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2×D411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685Dic59⋊C4C2×D411yescharacteristic
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692C4×Dic59—21no—
693C4×Dic59C2×D411yescharacteristic
694C4×Dic59C2×D411yescharacteristic
695C4×Dic59C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700#11745660—22no—
701#11745660—22no—
702#11745660—22no—
703#11745659—41no—
704#11745659—41no—
705#11745659—41no—
706#11745659—41no—
707C8×D59—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—42no—
717C22×D59—42no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59C22×D411yescharacteristic
729C22×D59C22×D411yescharacteristic
730C22×D59C22×D411yescharacteristic
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—21no—
735Q8×C59—41no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—21no—
744D4×C59—42no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—81no—
753C2×C4×C59—81no—
754C2×C4×C59—81no—
755C2×C4×C59—81no—
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C2511yescharacteristic
763C22⋊D59—42no—
764C22⋊D59—42no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—42no—
785C2×Dic59—42no—
786C2×Dic59—81no—
787C2×Dic59—81no—
788C2×Dic59C22×D411yescharacteristic
789C2×Dic59C22×D411yescharacteristic
790C2×Dic59C22×D411yescharacteristic
791C2×Dic59C22×D411yescharacteristic
792C2×Dic59C22×D411yescharacteristic
793D236—21no—
794D236—21no—
795D236—21no—
796D236—21no—
797D236—21no—
798D236—21no—
799D236—41no—
800D236—41no—
801D236—41no—
802D236—42no—
803D236—42no—
804D236—81no—
805D236—81no—
806D236—81no—
807D236—81no—
808D236—81no—
809D236—81no—
810D236—81no—
811D236—81no—
812D236—81no—
813C4×D59—21no—
814C4×D59—21no—
815C4×D59—21no—
816C4×D59—21no—
817C4×D59—21no—
818C4×D59—21no—
819C4×D59—41no—
820C4×D59—41no—
821C4×D59—42no—
822C4×D59—42no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826C4×D59—81no—
827C4×D59—81no—
828Dic118—21no—
829Dic118—42no—
830Dic118—81no—
831Dic118H(5,𝔽2)12yes—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62081—591nomaximal, Sylow
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59C23×D411yescharacteristic
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—21no—
858C2×D59—21no—
859C2×D59—21no—
860C2×D59—21no—
861C2×D59—21no—
862C2×D59—21no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—162no—
873C2×D59—162no—
874C2×D59—162no—
875C2×D59—162no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—21no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59C2×H(5,𝔽2)11yescharacteristic
887C4×C59#58511yescharacteristic
888Dic59—21no—
889Dic59—21no—
890Dic59—22no—
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898#3543—591no—
899#3524—591no—
900#3403D5911yescharacteristic, complemented
901#3399—591no—
902#3371—591no—
903#3368—591no—
904#3325—591no—
905#3323—591no—
906#3319—591no—
907#3318—591no—
908#3310—591no—
909#3309—591no—
910#3275—591no—
911#3274—591no—
912#3271—591no—
913#3268—591no—
914#3265—591no—
915#3265—591no—
916#3259—591no—
917#3257—591no—
918#3256—591no—
919#3224—591no—
920#3220—591no—
921#3217—591no—
922#3126—591no—
923#3119—591no—
924#3111—591no—
925#3045—591no—
926#3043—591no—
927#3038—591no—
928#2995—591no—
929C2×C59—81no—
930C2×C59—81no—
931C2×C59—81no—
932C2×C59—81no—
933C2×C59#348811yescharacteristic
934C2×C59#358511yescharacteristic
935C2×C59#358511yescharacteristic
936D59—41no—
937D59—41no—
938D59—41no—
939D59—81no—
940D59—81no—
941D59—81no—
942C2×#137—591no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×#135—591no—
947C22×SD16—591no—
948#560—1181no—
949#560—1181no—
950#559—1181no—
951#559C2×D5911yescharacteristic
952#559C2×D5911yescharacteristic, complemented
953#557—591no—
954#555—591no—
955#555—1181no—
956#553—591no—
957#553—1181no—
958#552—591no—
959#552—1181no—
960#550—591no—
961#550—591no—
962#550—591no—
963#548—591no—
964#548—591no—
965#546—591no—
966#546—591no—
967#546—1181no—
968D42—591no—
969D42—591no—
970D42—591no—
971D42—1181no—
972#542—591no—
973#542—1181no—
974#540—591no—
975#540—591no—
976#540—591no—
977#540—1181no—
978#540—1181no—
979#535—591no—
980#535—591no—
981#535—1181no—
982#534—1181no—
983#534—1181no—
984C2×#127—591no—
985#529—591no—
986#529—591no—
987#529—591no—
988#529—1181no—
989#529—1181no—
990#520—591no—
991#519—591no—
992C4×#41—591no—
993#496—591no—
994#496—591no—
995#496C2×D5911yescharacteristic
996#496C2×D5911yescharacteristic, complemented
997#495C2×D5911yescharacteristic, complemented
998#493—591no—
999#490—591no—
1000#490—591no—
1001#490—591no—
1002#489—591no—
1003#488—591no—
1004#486—591no—
1005#485—591no—
1006#482—591no—
1007#482—591no—
1008#482—591no—
1009#481—591no—
1010#480—591no—
1011#479—591no—
1012#479—591no—
1013#479—591no—
1014#478—591no—
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#476—591no—
1020#474—591no—
1021#470—591no—
1022#469—591no—
1023#469—591no—
1024#469—591no—
1025#469—591no—
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#466—591no—
1030#466—591no—
1031#466—591no—
1032#465—591no—
1033#464—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464C2×D5911yescharacteristic, complemented
1038#464C2×D5911yescharacteristic, complemented
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463C2×D5911yescharacteristic, complemented
1044#463C2×D5911yescharacteristic, complemented
1045#460—591no—
1046#460—591no—
1047#460—591no—
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#460—591no—
1054#459—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459C2×D5911yescharacteristic
1062#459C2×D5911yescharacteristic, complemented
1063#452—591no—
1064#452—591no—
1065#450—591no—
1066#450—591no—
1067#450—591no—
1068#449—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#448—591no—
1075#448—591no—
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#446—591no—
1082#446C2×D5911yescharacteristic, complemented
1083#442—591no—
1084#442—591no—
1085#441—591no—
1086#440—591no—
1087#440—591no—
1088#440—591no—
1089#440C2×D5911yescharacteristic, complemented
1090#440C2×D5911yescharacteristic, complemented
1091C4×SD16—591no—
1092C4×SD16—591no—
1093C4×SD16—591no—
1094C4×D8C2×D5911yescharacteristic, complemented
1095#436—591no—
1096#436—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#433—591no—
1102#433—591no—
1103#432—591no—
1104#424—591no—
1105#424—591no—
1106#423—591no—
1107#418—591no—
1108#418—591no—
1109#418—591no—
1110#417—591no—
1111#416—591no—
1112C2×#102—591no—
1113C59#6208111yescharacteristic, complemented, Sylow
1114C2×#41—591no—
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—1181no—
1119C22×Q8—591no—
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—1181no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C22×D4—1181no—
1129#137—2362no—
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133#135—2362no—
1134C2×Q16—591no—
1135C2×Q16C22×D5911yescharacteristic
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—2362no—
1145C2×SD16C22×D5911yescharacteristic
1146C2×SD16C22×D5911yescharacteristic
1147C2×SD16C22×D5911yescharacteristic
1148C2×SD16C22×D5911yescharacteristic
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8C22×D5911yescharacteristic
1156C2×D8C22×D5911yescharacteristic
1157C2×D8C22×D5911yescharacteristic
1158C2×D8C22×D5911yescharacteristic
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C22×C8—591no—
1164C22×C8—591no—
1165C4⋊Q8—591no—
1166C4⋊Q8—1181no—
1167#127—591no—
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—1181no—
1173#127—1181no—
1174#127—1181no—
1175#127—1181no—
1176#127C22×D5911yescharacteristic
1177#127C22×D5911yescharacteristic
1178#126—591no—
1179#126—591no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#125—591no—
1186#125—591no—
1187#125—591no—
1188#125—591no—
1189#125—1181no—
1190#125—1181no—
1191#125—1181no—
1192#124—21no—
1193#124—21no—
1194#124—591no—
1195#124—591no—
1196#124—1181no—
1197#124—1181no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#124C22×D5911yescharacteristic
1202#124C22×D5911yescharacteristic
1203#124C22×D5911yescharacteristic
1204#124C22×D5911yescharacteristic
1205#123—21no—
1206#123—21no—
1207#123—21no—
1208#123—21no—
1209#123—591no—
1210#123—591no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231#121—591no—
1232#121—591no—
1233#121—591no—
1234#121—591no—
1235#121—591no—
1236#121—591no—
1237#121—591no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
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#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279C4×Q8—591no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—1181no—
1285C4×Q8—1181no—
1286C4×Q8—1181no—
1287C4×Q8C22×D5911yescharacteristic
1288C4×Q8C22×D5911yescharacteristic
1289C4×Q8C22×D5911yescharacteristic
1290C4×D4—21no—
1291C4×D4—21no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—591no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4C22×D5911yescharacteristic
1312C4×D4C22×D5911yescharacteristic
1313C4×D4C22×D5911yescharacteristic
1314C4×D4C22×D5911yescharacteristic
1315#117—591no—
1316#117—591no—
1317#117—591no—
1318#117—591no—
1319#117—1181no—
1320#117—1181no—
1321#117—1181no—
1322#117—1181no—
1323#117—1181no—
1324#117—1181no—
1325#117—1181no—
1326#117—1181no—
1327C2×C4⋊C4—591no—
1328C2×C4⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C42—591no—
1332C2×C42—1181no—
1333#107—591no—
1334#107—591no—
1335#107—591no—
1336#107C22×D5911yescharacteristic
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8C22×D5911yescharacteristic
1349C4⋊C8C22×D5911yescharacteristic
1350C4⋊C8C22×D5911yescharacteristic
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103C22×D5911yescharacteristic
1358#103C22×D5911yescharacteristic
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8—591no—
1389#97—591no—
1390#97—591no—
1391#97C22×D5911yescharacteristic
1392#97C22×D5911yescharacteristic
1393C4×C8—591no—
1394C4×C8C22×D5911yescharacteristic
1395C24—1181no—
1396C24—1181no—
1397C24—1181no—
1398C24—1181no—
1399#41—1182no—
1400#41—1182no—
1401#41—4722no—
1402#41—2361no—
1403#41—2361no—
1404#41—2361no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408C2×Q8—591no—
1409C2×Q8—1181no—
1410C2×Q8—1181no—
1411C2×Q8—1182no—
1412C2×Q8—2361no—
1413C2×Q8D4×D5911yescharacteristic
1414C2×Q8C23×D5911yescharacteristic
1415C2×Q8C23×D5911yescharacteristic
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—591no—
1421C2×D4—591no—
1422C2×D4—591no—
1423C2×D4—591no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—4722no—
1454C2×D4—4722no—
1455C2×D4—4722no—
1456C2×D4—4722no—
1457C2×D4—4722no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4—2361no—
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C2×D4C23×D5911yescharacteristic
1469C2×D4C23×D5911yescharacteristic
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—591no—
1475C22×C4—591no—
1476C22×C4—591no—
1477C22×C4—591no—
1478C22×C4—591no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4—1181no—
1489C22×C4—1181no—
1490Q16—41no—
1491Q16—1182no—
1492SD16—41no—
1493SD16—41no—
1494SD16—41no—
1495SD16—41no—
1496SD16—1182no—
1497SD16—1182no—
1498SD16—1182no—
1499SD16—1182no—
1500SD16—1182no—
1501SD16—2361no—
1502SD16—2361no—
1503SD16—2361no—
1504D8—41no—
1505D8—41no—
1506D8—41no—
1507D8—41no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513D8—2361no—
1514M16—2361no—
1515M16—2361no—
1516M16—2361no—
1517M16—2361no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—2361no—
1523C2×C8—2361no—
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C2×C8C23×D5911yescharacteristic
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—591no—
1531C4⋊C4—591no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4D4×D5911yescharacteristic
1558C4⋊C4D4×D5911yescharacteristic
1559C4⋊C4D4×D5911yescharacteristic
1560C4⋊C4C23×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—591no—
1575C22⋊C4—591no—
1576C22⋊C4—591no—
1577C22⋊C4—591no—
1578C22⋊C4—591no—
1579C22⋊C4—591no—
1580C22⋊C4—591no—
1581C22⋊C4—591no—
1582C22⋊C4—591no—
1583C22⋊C4—591no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C42—21no—
1606C42—21no—
1607C42—591no—
1608C42—591no—
1609C42—591no—
1610C42—1181no—
1611C42—1181no—
1612C42—1181no—
1613C42—1181no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42C23×D5911yescharacteristic
1618C42C23×D5911yescharacteristic
1619C42C23×D5911yescharacteristic
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—591no—
1625C23—591no—
1626C23—591no—
1627C23—1181no—
1628C23—1181no—
1629C23—1181no—
1630C23—4721no—
1631C23—4721no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—4721no—
1640C23—2362no—
1641C23—2362no—
1642Q8—21no—
1643Q8—21no—
1644Q8—21no—
1645Q8—21no—
1646Q8—41no—
1647Q8—592no—
1648Q8—1181no—
1649Q8—4721no—
1650Q8—2362no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—42no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—1181no—
1664D4—1181no—
1665D4—1181no—
1666D4—1181no—
1667D4—1181no—
1668D4—1181no—
1669D4—4721no—
1670D4—4721no—
1671D4—4721no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—4721no—
1691D4—4721no—
1692D4—2361no—
1693D4—2361no—
1694D4—2361no—
1695D4—2362no—
1696D4—2362no—
1697D4—2362no—
1698D4—2362no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—81no—
1704C2×C4—81no—
1705C2×C4—81no—
1706C2×C4—81no—
1707C2×C4—591no—
1708C2×C4—591no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—1181no—
1713C2×C4—1181no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—2361no—
1731C2×C4—2361no—
1732C2×C4—2362no—
1733C2×C4—2362no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4C2×D4×D5911yescharacteristic
1737C2×C4C2×D4×D5911yescharacteristic
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C24×D5911yescharacteristic
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—1181no—
1764C22—1181no—
1765C22—1181no—
1766C22—1181no—
1767C22—1181no—
1768C22—1181no—
1769C22—1181no—
1770C22—1181no—
1771C22—1181no—
1772C22—9442no—
1773C22—9442no—
1774C22—9442no—
1775C22—9442no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22C22×D4×D5911yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—1181no—
1797C4—1181no—
1798C4—1181no—
1799C4—1182no—
1800C4—1181no—
1801C4—1181no—
1802C4—2361no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4H(5,𝔽2)×D5911yescharacteristic
1807C4#1683823811yescharacteristic
1808C2—81no—
1809C2—81no—
1810C2—81no—
1811C2—81no—
1812C2—4721no—
1813C2—4721no—
1814C2—4721no—
1815C2—2361no—
1816C2—2361no—
1817C2—2361no—
1818C2#2143776411yescharacteristic
1819C2#2143887111yescharacteristic
1820C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3403C2
socleC22×C59C23×D4
hypercenter#3403D59
hypocenterC59#62081
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3403

Complements

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

NH ≅ G/Ntype
1. #21438430C2semidirect
2. #21438200C2semidirect
3. #21437134C2semidirect
4. #21436858C2semidirect
5. #21436827C2semidirect
6. #21436340C2semidirect
7. #21436319C2semidirect
8. #21436259C2semidirect
9. #21436244C2semidirect
10. #21436122C2semidirect
11. #21436107C2semidirect
12. #21435726C2semidirect
13. #21435719C2semidirect
14. #21435687C2semidirect
15. #21435635C2semidirect
16. #21435597C2semidirect
17. #21435590C2semidirect
18. #21435533C2semidirect
19. #21435504C2semidirect
20. #21435495C2semidirect
21. #21435183C2semidirect
22. #21435141C2semidirect
23. #21435110C2semidirect
24. #21434386C2semidirect
25. #21434291C2semidirect
26. #21434209C2semidirect
27. #21433636C2semidirect
28. #21433615C2semidirect
29. #21433571C2semidirect
30. #21433265C2semidirect
31. C59×#3403C2semidirect
32. C2×#14273759C22semidirect
33. C2×#14273751C22semidirect
34. C2×#14273751C22semidirect
35. C2×#14273751C22semidirect
36. C2×#14273748C22semidirect
37. C2×SD16×D59C22semidirect
41. #16838130C22semidirect
42. #16838117C22semidirect
44. #16838102C22semidirect
46. #16838093C22semidirect
50. #16838072C22semidirect
51. #16838060C22semidirect
52. #16838060C22semidirect
60. #16838021C22semidirect
62. #16838006C22semidirect
76. #16837931C22semidirect
78. #16837881C22semidirect
79. #16837878C22semidirect
80. C4×#11745687C22semidirect
81. #16837792C22semidirect
82. #16837792C22semidirect
83. #16837778C22semidirect
84. #16837767C22semidirect
85. #16837767C22semidirect
87. #16837761C22semidirect
88. #16837756C22semidirect
89. #16837749C22semidirect
90. #16837742C22semidirect
92. #16837729C22semidirect
93. #16837724C22semidirect
94. #16837719C22semidirect
95. #16837717C22semidirect
96. #16837711C22semidirect
97. #16837709C22semidirect
98. #16837708C22semidirect
99. #16837704C22semidirect
100. #16837703C22semidirect
101. #16837703C22semidirect
102. #16837702C22semidirect
103. #16837700C22semidirect
104. #16837692C22semidirect
105. #16837683C22semidirect
106. #16837657C22semidirect
108. #16837654C22semidirect
109. #16837654C22semidirect
110. #16837652C22semidirect
112. #16837645C22semidirect
113. #16837645C22semidirect
114. #16837637C22semidirect
115. #16837635C22semidirect
116. #16837635C22semidirect
117. #16837634C22semidirect
118. #16837627C22semidirect
119. #16837626C22semidirect
120. #16837621C22semidirect
121. #16837621C22semidirect
122. #16837619C22semidirect
123. #16837619C22semidirect
124. #16837614C22semidirect
125. #16837614C22semidirect
126. #16837603C22semidirect
127. #16837603C22semidirect
128. #16837603C22semidirect
129. #16837602C22semidirect
130. #16837601C22semidirect
131. #16837601C22semidirect
132. #16837600C22semidirect
133. #16837600C22semidirect
135. #16837597C22semidirect
136. #16837597C22semidirect
137. #16837595C22semidirect
138. #16837595C22semidirect
139. #16837595C22semidirect
140. #16837595C22semidirect
141. #16837594C22semidirect
142. #16837563C22semidirect
143. #16837561C22semidirect
144. #16837551C22semidirect
145. #16837551C22semidirect
146. #16837551C22semidirect
148. #16837548C22semidirect
149. #16837546C22semidirect
150. #16837546C22semidirect
151. #16837546C22semidirect
152. #16837544C22semidirect
153. #16837542C22semidirect
154. #16837539C22semidirect
155. #16837534C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837533C22semidirect
161. #16837512C22semidirect
162. #16837512C22semidirect
163. #16837507C22semidirect
164. #16837504C22semidirect
165. #16837504C22semidirect
166. #16837502C22semidirect
167. C4×#11745660C22semidirect
168. C4×#11745671C22semidirect
169. C4×#11745670C22semidirect
170. #16837481C22semidirect
171. #16837479C22semidirect
172. #16837475C22semidirect
173. #16837475C22semidirect
174. #16837472C22semidirect
175. #16837472C22semidirect
176. #16837464C22semidirect
177. #16837461C22semidirect
178. #16837457C22semidirect
179. #16837427C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
182. #16837405C22semidirect
183. #16837405C22semidirect
184. #16837405C22semidirect
185. #16837402C22semidirect
186. #16837397C22semidirect
187. #102×D59C22semidirect
189. C59×#559C22semidirect
191. C59×#496C22semidirect
192. C59×#495C22semidirect
193. C59×#464C22semidirect
194. C59×#464C22semidirect
195. C59×#463C22semidirect
196. C59×#463C22semidirect
198. C59×#459C22semidirect
199. C59×#446C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C4×D8×C59C22semidirect
900. #3403D59semidirect
952. #559C2×D59semidirect
996. #496C2×D59semidirect
997. #495C2×D59semidirect
1037. #464C2×D59semidirect
1038. #464C2×D59semidirect
1043. #463C2×D59semidirect
1044. #463C2×D59semidirect
1062. #459C2×D59semidirect
1082. #446C2×D59semidirect
1089. #440C2×D59semidirect
1090. #440C2×D59semidirect
1094. C4×D8C2×D59semidirect
1113. C59#62081semidirect

Maximal subgroups

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

subgroupindex
#214384302
#214382002
#214371342
#214368582
#214368272
#214363402
#214363192
#214362592
#214362442
#214361222
#214361072
#214357262
#214357192
#214356872
#214356352
#214355972
#214355902
#214355332
#214355042
#214354952
#214351832
#214351412
#214351102
#214343862
#214342912
#214342092
#214336362
#214336152
#214335712
#214332652
C59×#34032
#6208159