Finite Group Databasebeta

← #29483979

Subgroups — #29483979

Order 15104.

1906 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#21438471C211yesmaximal, characteristic, complemented
2#21438035C211yesmaximal, characteristic, complemented
3#21437134C211yesmaximal, characteristic, complemented
4#21436917C211yesmaximal, characteristic, complemented
5#21436805C211yesmaximal, characteristic, complemented
6#21436425C211yesmaximal, characteristic, complemented
7#21436319C211yesmaximal, characteristic, complemented
8#21436242C211yesmaximal, characteristic, complemented
9#21436227C211yesmaximal, characteristic, complemented
10#21436079C211yesmaximal, characteristic, complemented
11#21436064C211yesmaximal, characteristic, complemented
12#21435711C211yesmaximal, characteristic, complemented
13#21435705C211yesmaximal, characteristic, complemented
14#21435631C211yesmaximal, characteristic, complemented
15#21435620C211yesmaximal, characteristic, complemented
16#21435582C211yesmaximal, characteristic, complemented
17#21435575C211yesmaximal, characteristic, complemented
18#21435564C211yesmaximal, characteristic, complemented
19#21435505C211yesmaximal, characteristic, complemented
20#21435455C211yesmaximal, characteristic, complemented
21#21435183C211yesmaximal, characteristic, complemented
22#21435141C211yesmaximal, characteristic, complemented
23#21435130C211yesmaximal, characteristic, complemented
24#21434371C211yesmaximal, characteristic, complemented
25#21434286C211yesmaximal, characteristic, complemented
26#21434185C211yesmaximal, characteristic, complemented
27#21433638C211yesmaximal, characteristic, complemented
28#21433597C211yesmaximal, characteristic, complemented
29#21433561C211yesmaximal, characteristic, complemented
30#21433265C211yesmaximal, characteristic, complemented
31C59×#3401C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic
33C2×#14273754C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273750C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic
38#16838143—21no—
39#16838143—21no—
40#16838112C2211yescharacteristic, complemented
41#16838102C2211yescharacteristic
42#16838097—21no—
43#16838096—21no—
44#16838093C2211yescharacteristic, complemented
45#16838082—21no—
46#16838081—21no—
47#16838074C2211yescharacteristic
48#16838074C2211yescharacteristic, complemented
49#16838074C2211yescharacteristic, complemented
50#16838057C2211yescharacteristic, complemented
51#16838055C2211yescharacteristic, complemented
52#16838045C2211yescharacteristic
53#16838045C2211yescharacteristic
54#16838045C2211yescharacteristic, complemented
55#16838045C2211yescharacteristic, complemented
56#16838044—21no—
57#16838043—21no—
58D4×D236C2211yescharacteristic, complemented
59#16838037C2211yescharacteristic, complemented
60#16838024C2211yescharacteristic, complemented
61#16838024C2211yescharacteristic, complemented
62#16838021C2211yescharacteristic, complemented
63#16838006C2211yescharacteristic, complemented
64#16837995—21no—
65#16837991—21no—
66#16837991—21no—
67#16837986—21no—
68#16837982—21no—
69#16837971—21no—
70#16837970C2211yescharacteristic, complemented
71#16837970C2211yescharacteristic, complemented
72#16837953C2211yescharacteristic, complemented
73#16837949C2211yescharacteristic, complemented
74#16837939C2211yescharacteristic
75#16837931C2211yescharacteristic, complemented
76#16837911—21no—
77#123×D59—21no—
78#16837884C2211yescharacteristic, complemented
79#16837874C2211yescharacteristic, complemented
80C4×D4×D59C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic, complemented
82#16837792C2211yescharacteristic, complemented
83#16837778C2211yescharacteristic, complemented
84#16837770C2211yescharacteristic, complemented
85#16837767C2211yescharacteristic, complemented
86#16837767C2211yescharacteristic, complemented
87#16837761C2211yescharacteristic, complemented
88#16837756C2211yescharacteristic, complemented
89#16837749C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837731C2211yescharacteristic, complemented
92#16837728C2211yescharacteristic, complemented
93#16837722C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837719C2211yescharacteristic, complemented
96#16837709C2211yescharacteristic, complemented
97#16837703C2211yescharacteristic, complemented
98#16837703C2211yescharacteristic, complemented
99#16837702C2211yescharacteristic, complemented
100#16837693C2211yescharacteristic, complemented
101#16837691C2211yescharacteristic, complemented
102#16837690C2211yescharacteristic, complemented
103#16837687C2211yescharacteristic, complemented
104#16837685C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837657C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic
108#16837654C2211yescharacteristic, complemented
109#16837654C2211yescharacteristic, complemented
110#16837652C2211yescharacteristic
111#16837651C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837634C2211yescharacteristic, complemented
116#16837628C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837626C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic
127#16837614C2211yescharacteristic
128#16837614C2211yescharacteristic, complemented
129#16837614C2211yescharacteristic, complemented
130#16837604C2211yescharacteristic, complemented
131#16837602C2211yescharacteristic, complemented
132#16837600C2211yescharacteristic, complemented
133#16837598C2211yescharacteristic
134#16837598C2211yescharacteristic, complemented
135#16837598C2211yescharacteristic, complemented
136#16837597C2211yescharacteristic, complemented
137#16837597C2211yescharacteristic, complemented
138#16837596C2211yescharacteristic
139#16837595C2211yescharacteristic, complemented
140#16837595C2211yescharacteristic, complemented
141#16837594C2211yescharacteristic, complemented
142#16837563C2211yescharacteristic, complemented
143#16837563C2211yescharacteristic, complemented
144#16837563C2211yescharacteristic, complemented
145#16837563C2211yescharacteristic, complemented
146#16837551C2211yescharacteristic, complemented
147#16837551C2211yescharacteristic, complemented
148#16837550C2211yescharacteristic
149#16837546C2211yescharacteristic, complemented
150#16837546C2211yescharacteristic, complemented
151#16837546C2211yescharacteristic, complemented
152#16837546C2211yescharacteristic, complemented
153#16837546C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic
155#16837537C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic
157#16837534C2211yescharacteristic
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837533C2211yescharacteristic, complemented
161#16837515C2211yescharacteristic, complemented
162#16837515C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic
164#16837512C2211yescharacteristic, complemented
165#16837512C2211yescharacteristic, complemented
166#16837500C2211yescharacteristic, complemented
167C4×#11745671C2211yescharacteristic, complemented
168C4×#11745671C2211yescharacteristic, complemented
169C4×D472C2211yescharacteristic, 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#16837402C2211yescharacteristic, complemented
184#16837402C2211yescharacteristic, complemented
185#16837402C2211yescharacteristic, complemented
186#16837397C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#559C2211yescharacteristic, complemented
189C59×#556C2211yescharacteristic, complemented
190C59×#497C2211yescharacteristic, complemented
191C59×#496C2211yescharacteristic
192C59×#495C2211yescharacteristic, complemented
193C59×#464C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#461C2211yescharacteristic, complemented
198C59×#460C2211yescharacteristic, complemented
199C59×#446C2211yescharacteristic, complemented
200C59×#442C2211yescharacteristic, complemented
201C59×#441C2211yescharacteristic, complemented
202C4×SD16×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745685—21no—
210C2×#11745685—21no—
211C22×D236—21no—
212C2×D4×D59—21no—
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215C2×D4×D59C2311yescharacteristic
216C2×D4×D59C2311yescharacteristic
217C22×C4×D59—21no—
218#14273754—42no—
219#14273754—42no—
220#14273754—42no—
221#14273754—42no—
222#14273750—42no—
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×D472C2311yescharacteristic
229C2×D472C2311yescharacteristic
230C2×D472C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238D8×D59—42no—
239C2×#11745659C2311yescharacteristic
240C2×#11745659C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×C8×D59C2311yescharacteristic
244C2×C8×D59C2311yescharacteristic
245#14273727C2311yescharacteristic
246#14273726C2311yescharacteristic
247#14273724—21no—
248#14273724—21no—
249#14273724C2311yescharacteristic
250#14273724C2311yescharacteristic
251#14273724C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273722D411yescharacteristic
254#14273722D411yescharacteristic
255#14273721—21no—
256#14273721—21no—
257#14273721—21no—
258#14273720—21no—
259#14273720—21no—
260#14273720—21no—
261#14273719C2311yescharacteristic
262#14273719C2311yescharacteristic
263#14273718D411yescharacteristic
264#14273717—21no—
265#14273716D411yescharacteristic
266#14273716C2311yescharacteristic
267#14273716C2311yescharacteristic
268#14273715—21no—
269#14273715—21no—
270#14273713—21no—
271#14273713—21no—
272#14273712—21no—
273#14273712—21no—
274#14273712—21no—
275#14273712—21no—
276#14273712—21no—
277#14273712D411yescharacteristic
278#14273712D411yescharacteristic
279#14273711—21no—
280#14273710—21no—
281#14273709—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273708—21no—
289#14273708—21no—
290#14273706—21no—
291#14273705—21no—
292#14273705—21no—
293#14273705—21no—
294#14273705—21no—
295#14273704—21no—
296#14273703—21no—
297#14273703D411yescharacteristic
298#14273703C2311yescharacteristic
299#14273703C2311yescharacteristic
300#14273703C2311yescharacteristic
301#14273703C2311yescharacteristic
302#14273702—21no—
303#14273702—21no—
304#14273702—21no—
305#14273702—21no—
306#14273702—21no—
307#14273702—21no—
308#14273702—21no—
309#14273702—21no—
310#14273702—21no—
311#14273702—21no—
312#14273702D411yescharacteristic
313#14273702C2311yescharacteristic
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273701—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273699—21no—
328#14273699—21no—
329#14273698—21no—
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×D236—21no—
349C4×D236—21no—
350C4×D236—21no—
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353C4×D236C2311yescharacteristic
354C4×D236C2311yescharacteristic
355C4×D236C2311yescharacteristic
356C4×D236C2311yescharacteristic
357C4×D236C2311yescharacteristic
358C4×D236C2311yescharacteristic
359C4×D236C2311yescharacteristic
360D4×Dic59C2311yescharacteristic
361D4×Dic59C2311yescharacteristic
362#14273689—21no—
363#14273689—21no—
364#14273689—21no—
365#14273689C2311yescharacteristic
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373#14273685C2311yescharacteristic
374#14273684—21no—
375#14273684—21no—
376#14273684C2311yescharacteristic
377#14273684C2311yescharacteristic
378#14273683—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C2×(C2×D59)⋊C4—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C42×D59C2311yescharacteristic
392#14273661C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273659C2311yescharacteristic
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#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273647C2311yescharacteristic
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×Q16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C4⋊Q8×C59C2311yescharacteristic
451#127×C59C2311yescharacteristic
452#126×C59—21no—
453#126×C59—21no—
454#124×C59—21no—
455#124×C59C2311yescharacteristic
456#124×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460#123×C59—21no—
461C22⋊Q8×C59—21no—
462C4×Q8×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×Q8×C59C2311yescharacteristic
466C4×D4×C59—21no—
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470#117×C59—21no—
471#106×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×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×Q8×C59C2411yescharacteristic
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—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—
511C22×Dic59—21no—
512C22×Dic59—21no—
513#11745689—22no—
514#11745689—41no—
515#11745689—41no—
516#11745689—41no—
517#11745689—41no—
518#11745689—41no—
519#11745689—41no—
520#11745689—41no—
521#11745689—41no—
522#11745689—41no—
523#11745689—82no—
524D4×D59—22no—
525D4×D59—22no—
526D4×D59—41no—
527D4×D59—41no—
528D4×D59—41no—
529D4×D59—41no—
530D4×D59—41no—
531D4×D59—41no—
532D4×D59—82no—
533#11745685—82no—
534#11745685—82no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—82no—
550C2×D236C2×D411yescharacteristic
551C2×D236C2×D411yescharacteristic
552C2×D236C2×D411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×D236C2411yescharacteristic
555C2×D236C2411yescharacteristic
556C2×D236C2411yescharacteristic
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
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×D59—82no—
572C2×C4×D59C2×D411yescharacteristic
573C2×C4×D59C2×D411yescharacteristic
574C2×C4×D59C2411yescharacteristic
575C2×C4×D59C2411yescharacteristic
576C2×C4×D59C2411yescharacteristic
577C2×Dic118—21no—
578C2×Dic118—21no—
579Q16×C59—41no—
580Q16×C59—41no—
581SD16×C59—41no—
582SD16×C59—41no—
583SD16×C59—41no—
584SD16×C59—41no—
585SD16×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×C59—21no—
595C4⋊C4×C59—21no—
596C4⋊C4×C59—21no—
597C4⋊C4×C59C2×D411yescharacteristic
598C4⋊C4×C59C2×D411yescharacteristic
599C4⋊C4×C59C2×D411yescharacteristic
600C4⋊C4×C59C2411yescharacteristic
601C4⋊C4×C59C2411yescharacteristic
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—
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
613C42×C59—21no—
614C42×C59—21no—
615C42×C59—21no—
616C42×C59C2411yescharacteristic
617C42×C59C2411yescharacteristic
618C42×C59C2411yescharacteristic
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626#11745671—22no—
627#11745671—22no—
628#11745671—41no—
629#11745671—41no—
630#11745671—41no—
631#11745669—22no—
632#11745669—41no—
633#11745669—41no—
634#11745669—41no—
635#11745669—41no—
636#11745669—41no—
637#11745669—41no—
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)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662(C2×D59)⋊C4C2×D411yescharacteristic
663(C2×D59)⋊C4C2×D411yescharacteristic
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666(C2×D59)⋊C4C2×D411yescharacteristic
667C4⋊Dic59—21no—
668C4⋊Dic59—21no—
669C4⋊Dic59C2×D411yescharacteristic
670C4⋊Dic59C2×D411yescharacteristic
671C4⋊Dic59C2×D411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673C4⋊Dic59C2411yescharacteristic
674C4⋊Dic59C2411yescharacteristic
675C4⋊Dic59C2411yescharacteristic
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4C2×D411yescharacteristic
688Dic59⋊C4C2×D411yescharacteristic
689Dic59⋊C4C2×D411yescharacteristic
690Dic59⋊C4C2×D411yescharacteristic
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
700D472—22no—
701D472—22no—
702D472—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—
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—42no—
717C22×D59—42no—
718C22×D59—42no—
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—21no—
736Q8×C59—21no—
737Q8×C59—41no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—21no—
744D4×C59—81no—
745D4×C59—81no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—42no—
752C2×C4×C59—81no—
753C2×C4×C59—81no—
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C2511yescharacteristic
761C22⋊D59—42no—
762C22⋊D59—42no—
763C22⋊D59—42no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—81no—
777C2×Dic59—81no—
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783D236—21no—
784D236—21no—
785D236—21no—
786D236—21no—
787D236—21no—
788D236—21no—
789D236—21no—
790D236—41no—
791D236—41no—
792D236—41no—
793D236—42no—
794D236—42no—
795D236—81no—
796D236—81no—
797D236—81no—
798D236—81no—
799D236—81no—
800D236—81no—
801D236—81no—
802D236—81no—
803D236—81no—
804D236—81no—
805D236—81no—
806D236—81no—
807D236H(5,𝔽2)12yes—
808C4×D59—21no—
809C4×D59—21no—
810C4×D59—21no—
811C4×D59—21no—
812C4×D59—21no—
813C4×D59—21no—
814C4×D59—41no—
815C4×D59—41no—
816C4×D59—42no—
817C4×D59—42no—
818C4×D59—42no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826C4×D59—81no—
827C4×D59—81no—
828C4×D59—81no—
829C4×D59—81no—
830Dic118—81no—
831Dic118—81no—
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#62083—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×C59C23×D411yescharacteristic
851C2×D59—21no—
852C2×D59—21no—
853C2×D59—21no—
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—21no—
858C2×D59—21no—
859C2×D59—21no—
860C2×D59—22no—
861C2×D59—41no—
862C2×D59—41no—
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—84no—
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×C59—41no—
887C4×C59C2×H(5,𝔽2)11yescharacteristic
888C4×C59#58511yescharacteristic
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898#3546—591no—
899#3513—591no—
900#3401D5911yescharacteristic, complemented
901#3399—591no—
902#3376—591no—
903#3366—591no—
904#3332—591no—
905#3323—591no—
906#3318—591no—
907#3317—591no—
908#3307—591no—
909#3306—591no—
910#3274—591no—
911#3273—591no—
912#3268—591no—
913#3267—591no—
914#3264—591no—
915#3264—591no—
916#3263—591no—
917#3257—591no—
918#3251—591no—
919#3224—591no—
920#3220—591no—
921#3219—591no—
922#3125—591no—
923#3118—591no—
924#3109—591no—
925#3045—591no—
926#3041—591no—
927#3036—591no—
928#2995—591no—
929C2×C59—81no—
930C2×C59—81no—
931C2×C59—81no—
932C2×C59#348811yescharacteristic
933C2×C59#358511yescharacteristic
934C2×C59#358511yescharacteristic
935D59—41no—
936D59—41no—
937D59—41no—
938D59—42no—
939D59—81no—
940D59—81no—
941D59—81no—
942C2×AGL(1,ℤ/8)—591no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×#135—591no—
947C22×D8—591no—
948#560—1181no—
949#560—1181no—
950#559C2×D5911yescharacteristic, complemented
951#556C2×D5911yescharacteristic, complemented
952#554—591no—
953#553—591no—
954#553—1181no—
955#553—1181no—
956#552—591no—
957#551—1181no—
958#551—1181no—
959#550—591no—
960#550—591no—
961#550—591no—
962#547—591no—
963#547—591no—
964#546—591no—
965#546—591no—
966#546—591no—
967#546—591no—
968#546—1181no—
969#546—1181no—
970D42—591no—
971D42—591no—
972#542—591no—
973#542—591no—
974#542—591no—
975#540—591no—
976#539—1181no—
977#538—1181no—
978#538—1181no—
979#538—1181no—
980#537—1181no—
981#535—591no—
982#535—591no—
983#535—1181no—
984#532—591no—
985#532—591no—
986#529—591no—
987#529—591no—
988#525—1181no—
989C2×#123—1181no—
990#520—591no—
991#518—591no—
992C2×C4×D4—591no—
993#497C2×D5911yescharacteristic, complemented
994#496—591no—
995#496—591no—
996#496C2×D5911yescharacteristic
997#495C2×D5911yescharacteristic, complemented
998#493—591no—
999#491—591no—
1000#490—591no—
1001#490—591no—
1002#489—591no—
1003#488—591no—
1004#486—591no—
1005#485—591no—
1006#483—591no—
1007#482—591no—
1008#481—591no—
1009#481—591no—
1010#481—591no—
1011#479—591no—
1012#478—591no—
1013#478—591no—
1014#478—591no—
1015#476—591no—
1016#476—591no—
1017#476—591no—
1018#475—591no—
1019#475—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#465—591no—
1031#465—591no—
1032#465—591no—
1033#464—591no—
1034#464—591no—
1035#464C2×D5911yescharacteristic, complemented
1036#464C2×D5911yescharacteristic, complemented
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463C2×D5911yescharacteristic, complemented
1048#463C2×D5911yescharacteristic, complemented
1049#461—591no—
1050#461C2×D5911yescharacteristic, complemented
1051#460—591no—
1052#460—591no—
1053#460C2×D5911yescharacteristic, complemented
1054#459—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459—591no—
1063#452—591no—
1064#452—591no—
1065#452—591no—
1066#452—591no—
1067#450—591no—
1068#450—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#449—591no—
1075#447—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#442—591no—
1086#442—591no—
1087#442—591no—
1088#442C2×D5911yescharacteristic, complemented
1089#441C2×D5911yescharacteristic, complemented
1090#440—591no—
1091C4×SD16—591no—
1092C4×SD16—591no—
1093C4×SD16C2×D5911yescharacteristic, complemented
1094C4×D8—591no—
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#417—591no—
1109#417—591no—
1110#417—591no—
1111#416—591no—
1112C2×#102—591no—
1113C59#6208311yescharacteristic, complemented, Sylow
1114C2×#41—591no—
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—591no—
1118C2×#41—591no—
1119C2×#41—1181no—
1120C2×#41—1181no—
1121C2×#41—1181no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—591no—
1125C22×D4—591no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C23×C4—1181no—
1129AGL(1,ℤ/8)—2362no—
1130AGL(1,ℤ/8)—2362no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133#135—2362no—
1134C2×Q16C22×D5911yescharacteristic
1135C2×Q16C22×D5911yescharacteristic
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16C22×D5911yescharacteristic
1142C2×SD16C22×D5911yescharacteristic
1143C2×SD16C22×D5911yescharacteristic
1144C2×SD16C22×D5911yescharacteristic
1145C2×SD16C22×D5911yescharacteristic
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—591no—
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—2362no—
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—591no—
1167C4⋊Q8C22×D5911yescharacteristic
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—1181no—
1173#127—1181no—
1174#127C22×D5911yescharacteristic
1175#126—21no—
1176#126—21no—
1177#126—591no—
1178#126—591no—
1179#126—1181no—
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—1181no—
1189#124—21no—
1190#124—591no—
1191#124—591no—
1192#124—591no—
1193#124—1181no—
1194#124—1181no—
1195#124—1181no—
1196#124—1181no—
1197#124C22×D5911yescharacteristic
1198#124C22×D5911yescharacteristic
1199#124C22×D5911yescharacteristic
1200#124C22×D5911yescharacteristic
1201#123—21no—
1202#123—21no—
1203#123—591no—
1204#123—591no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
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—
1221C22⋊Q8—21no—
1222C22⋊Q8—591no—
1223C22⋊Q8—591no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234#121—591no—
1235#121—591no—
1236#121—591no—
1237#121—591no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
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×Q8C22×D5911yescharacteristic
1281C4×Q8C22×D5911yescharacteristic
1282C4×Q8C22×D5911yescharacteristic
1283C4×Q8C22×D5911yescharacteristic
1284C4×D4—21no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
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×D4C22×D5911yescharacteristic
1311C4×D4C22×D5911yescharacteristic
1312C4×D4C22×D5911yescharacteristic
1313#117—21no—
1314#117—591no—
1315#117—591no—
1316#117—591no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320C2×C4⋊C4—591no—
1321C2×C4⋊C4—591no—
1322C2×C4⋊C4—1181no—
1323C2×C4⋊C4—1181no—
1324C2×C4⋊C4—1181no—
1325C2×C22⋊C4—1181no—
1326C2×C22⋊C4—1181no—
1327C2×C22⋊C4—1181no—
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C42—591no—
1333#107—591no—
1334#107—591no—
1335#106—591no—
1336#106—591no—
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106C22×D5911yescharacteristic
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#103—591no—
1358#103C22×D5911yescharacteristic
1359#103C22×D5911yescharacteristic
1360#103C22×D5911yescharacteristic
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#102—591no—
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—4722no—
1401#41—4722no—
1402#41—4722no—
1403#41—2361no—
1404#41—2361no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408#41—2361no—
1409#41—2361no—
1410#41—2361no—
1411#41—2361no—
1412C2×Q8—1181no—
1413C2×Q8—1181no—
1414C2×Q8D4×D5911yescharacteristic
1415C2×Q8C23×D5911yescharacteristic
1416C2×Q8C23×D5911yescharacteristic
1417C2×Q8C23×D5911yescharacteristic
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—591no—
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—1182no—
1442C2×D4—1182no—
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—1181no—
1454C2×D4—4722no—
1455C2×D4—4722no—
1456C2×D4—2361no—
1457C2×D4—2361no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4C23×D5911yescharacteristic
1463C2×D4C23×D5911yescharacteristic
1464C2×D4C23×D5911yescharacteristic
1465C22×C4—21no—
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—591no—
1469C22×C4—591no—
1470C22×C4—591no—
1471C22×C4—591no—
1472C22×C4—591no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
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—4722no—
1490Q16—41no—
1491Q16—41no—
1492SD16—41no—
1493SD16—41no—
1494SD16—41no—
1495SD16—41no—
1496SD16—41no—
1497SD16—1182no—
1498SD16—1182no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502D8—41no—
1503D8—41no—
1504D8—1182no—
1505D8—1182no—
1506D8—1182no—
1507D8—1182no—
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—21no—
1531C4⋊C4—21no—
1532C4⋊C4—21no—
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—591no—
1542C4⋊C4—591no—
1543C4⋊C4—591no—
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—591no—
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—1181no—
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—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C42—21no—
1610C42—21no—
1611C42—21no—
1612C42—591no—
1613C42—591no—
1614C42—591no—
1615C42—1181no—
1616C42—1181no—
1617C42C23×D5911yescharacteristic
1618C42C23×D5911yescharacteristic
1619C42C23×D5911yescharacteristic
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—591no—
1624C23—591no—
1625C23—591no—
1626C23—1181no—
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—2362no—
1640C23—2362no—
1641C23—2362no—
1642Q8—21no—
1643Q8—21no—
1644Q8—21no—
1645Q8—21no—
1646Q8—21no—
1647Q8—21no—
1648Q8—41no—
1649Q8—4721no—
1650Q8—4721no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—81no—
1658D4—81no—
1659D4—592no—
1660D4—1181no—
1661D4—1181no—
1662D4—1181no—
1663D4—1181no—
1664D4—1181no—
1665D4—1181no—
1666D4—1181no—
1667D4—4721no—
1668D4—4721no—
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—2361no—
1688D4—2361no—
1689D4—2361no—
1690D4—2362no—
1691D4—2362no—
1692D4—2362no—
1693D4—2362no—
1694D4—2362no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—42no—
1701C2×C4—81no—
1702C2×C4—81no—
1703C2×C4—591no—
1704C2×C4—591no—
1705C2×C4—591no—
1706C2×C4—591no—
1707C2×C4—591no—
1708C2×C4—1181no—
1709C2×C4—1181no—
1710C2×C4—1181no—
1711C2×C4—1181no—
1712C2×C4—1181no—
1713C2×C4—1181no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—4721no—
1719C2×C4—4721no—
1720C2×C4—4721no—
1721C2×C4—4721no—
1722C2×C4—4721no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—2361no—
1732C2×C4—2361no—
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—1181no—
1761C22—1181no—
1762C22—1181no—
1763C22—1182no—
1764C22—1181no—
1765C22—1181no—
1766C22—1181no—
1767C22—1181no—
1768C22—1181no—
1769C22—1181no—
1770C22—9442no—
1771C22—9442no—
1772C22—9442no—
1773C22—4724no—
1774C22—2361no—
1775C22—2361no—
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—41no—
1797C4—1181no—
1798C4—1181no—
1799C4—1181no—
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—4721no—
1812C2—4721no—
1813C2—4721no—
1814C2—2361no—
1815C2—2361no—
1816C2—2361no—
1817C2—2362no—
1818C2#2143776411yescharacteristic
1819C2#2143887311yescharacteristic
1820C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3401C2
socleC22×C59C23×D4
hypercenter#3401D59
hypocenterC59#62083
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3401

Complements

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

NH ≅ G/Ntype
1. #21438471C2semidirect
2. #21438035C2semidirect
3. #21437134C2semidirect
4. #21436917C2semidirect
5. #21436805C2semidirect
6. #21436425C2semidirect
7. #21436319C2semidirect
8. #21436242C2semidirect
9. #21436227C2semidirect
10. #21436079C2semidirect
11. #21436064C2semidirect
12. #21435711C2semidirect
13. #21435705C2semidirect
14. #21435631C2semidirect
15. #21435620C2semidirect
16. #21435582C2semidirect
17. #21435575C2semidirect
18. #21435564C2semidirect
19. #21435505C2semidirect
20. #21435455C2semidirect
21. #21435183C2semidirect
22. #21435141C2semidirect
23. #21435130C2semidirect
24. #21434371C2semidirect
25. #21434286C2semidirect
26. #21434185C2semidirect
27. #21433638C2semidirect
28. #21433597C2semidirect
29. #21433561C2semidirect
30. #21433265C2semidirect
31. C59×#3401C2semidirect
33. C2×#14273754C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273750C22semidirect
40. #16838112C22semidirect
44. #16838093C22semidirect
48. #16838074C22semidirect
49. #16838074C22semidirect
50. #16838057C22semidirect
51. #16838055C22semidirect
54. #16838045C22semidirect
55. #16838045C22semidirect
58. D4×D236C22semidirect
59. #16838037C22semidirect
60. #16838024C22semidirect
61. #16838024C22semidirect
62. #16838021C22semidirect
63. #16838006C22semidirect
70. #16837970C22semidirect
71. #16837970C22semidirect
72. #16837953C22semidirect
73. #16837949C22semidirect
75. #16837931C22semidirect
78. #16837884C22semidirect
79. #16837874C22semidirect
80. C4×D4×D59C22semidirect
81. #16837792C22semidirect
82. #16837792C22semidirect
83. #16837778C22semidirect
84. #16837770C22semidirect
85. #16837767C22semidirect
86. #16837767C22semidirect
87. #16837761C22semidirect
88. #16837756C22semidirect
89. #16837749C22semidirect
90. #16837742C22semidirect
91. #16837731C22semidirect
92. #16837728C22semidirect
93. #16837722C22semidirect
94. #16837722C22semidirect
95. #16837719C22semidirect
96. #16837709C22semidirect
97. #16837703C22semidirect
98. #16837703C22semidirect
99. #16837702C22semidirect
100. #16837693C22semidirect
101. #16837691C22semidirect
102. #16837690C22semidirect
103. #16837687C22semidirect
104. #16837685C22semidirect
105. #16837680C22semidirect
106. #16837657C22semidirect
108. #16837654C22semidirect
109. #16837654C22semidirect
111. #16837651C22semidirect
112. #16837645C22semidirect
113. #16837645C22semidirect
114. #16837637C22semidirect
115. #16837634C22semidirect
116. #16837628C22semidirect
117. #16837628C22semidirect
118. #16837626C22semidirect
119. #16837626C22semidirect
120. #16837620C22semidirect
121. #16837620C22semidirect
122. #16837619C22semidirect
123. #16837619C22semidirect
124. #16837619C22semidirect
125. #16837619C22semidirect
128. #16837614C22semidirect
129. #16837614C22semidirect
130. #16837604C22semidirect
131. #16837602C22semidirect
132. #16837600C22semidirect
134. #16837598C22semidirect
135. #16837598C22semidirect
136. #16837597C22semidirect
137. #16837597C22semidirect
139. #16837595C22semidirect
140. #16837595C22semidirect
141. #16837594C22semidirect
142. #16837563C22semidirect
143. #16837563C22semidirect
144. #16837563C22semidirect
145. #16837563C22semidirect
146. #16837551C22semidirect
147. #16837551C22semidirect
149. #16837546C22semidirect
150. #16837546C22semidirect
151. #16837546C22semidirect
152. #16837546C22semidirect
153. #16837546C22semidirect
155. #16837537C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837533C22semidirect
161. #16837515C22semidirect
162. #16837515C22semidirect
164. #16837512C22semidirect
165. #16837512C22semidirect
166. #16837500C22semidirect
167. C4×#11745671C22semidirect
168. C4×#11745671C22semidirect
169. C4×D472C22semidirect
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. #16837402C22semidirect
184. #16837402C22semidirect
185. #16837402C22semidirect
186. #16837397C22semidirect
187. #102×D59C22semidirect
188. C59×#559C22semidirect
189. C59×#556C22semidirect
190. C59×#497C22semidirect
192. C59×#495C22semidirect
193. C59×#464C22semidirect
194. C59×#464C22semidirect
195. C59×#463C22semidirect
196. C59×#463C22semidirect
197. C59×#461C22semidirect
198. C59×#460C22semidirect
199. C59×#446C22semidirect
200. C59×#442C22semidirect
201. C59×#441C22semidirect
202. C4×SD16×C59C22semidirect
900. #3401D59semidirect
950. #559C2×D59semidirect
951. #556C2×D59semidirect
993. #497C2×D59semidirect
997. #495C2×D59semidirect
1035. #464C2×D59semidirect
1036. #464C2×D59semidirect
1047. #463C2×D59semidirect
1048. #463C2×D59semidirect
1050. #461C2×D59semidirect
1053. #460C2×D59semidirect
1082. #446C2×D59semidirect
1088. #442C2×D59semidirect
1089. #441C2×D59semidirect
1093. C4×SD16C2×D59semidirect
1113. C59#62083semidirect

Maximal subgroups

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

subgroupindex
#214384712
#214380352
#214371342
#214369172
#214368052
#214364252
#214363192
#214362422
#214362272
#214360792
#214360642
#214357112
#214357052
#214356312
#214356202
#214355822
#214355752
#214355642
#214355052
#214354552
#214351832
#214351412
#214351302
#214343712
#214342862
#214341852
#214336382
#214335972
#214335612
#214332652
C59×#34012
#6208359