Finite Group Databasebeta

← #29475932

Subgroups — #29475932

Order 15104.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438456C211yesmaximal, characteristic, complemented
2#21437882C211yesmaximal, characteristic, complemented
3#21436344C211yesmaximal, characteristic, complemented
4#21436290C211yesmaximal, characteristic, complemented
5#21436169C211yesmaximal, characteristic, complemented
6#21436137C211yesmaximal, characteristic, complemented
7#21436089C211yesmaximal, characteristic, complemented
8#21436057C211yesmaximal, characteristic, complemented
9#21436004C211yesmaximal, characteristic, complemented
10#21435950C211yesmaximal, characteristic, complemented
11#21435801C211yesmaximal, characteristic, complemented
12#21435775C211yesmaximal, characteristic, complemented
13#21435725C211yesmaximal, characteristic, complemented
14#21435701C211yesmaximal, characteristic, complemented
15#21435677C211yesmaximal, characteristic, complemented
16#21435590C211yesmaximal, characteristic, complemented
17#21435571C211yesmaximal, characteristic, complemented
18#21435078C211yesmaximal, characteristic, complemented
19#21435065C211yesmaximal, characteristic, complemented
20#21434977C211yesmaximal, characteristic, complemented
21#21434964C211yesmaximal, characteristic, complemented
22#21434956C211yesmaximal, characteristic, complemented
23#21434945C211yesmaximal, characteristic, complemented
24#21434209C211yesmaximal, characteristic, complemented
25#21434153C211yesmaximal, characteristic, complemented
26#21433407C211yesmaximal, characteristic, complemented
27#21433399C211yesmaximal, characteristic, complemented
28#21433379C211yesmaximal, characteristic, complemented
29#21433359C211yesmaximal, characteristic, complemented
30#21433168C211yesmaximal, characteristic, complemented
31C59×#3268C211yesmaximal, characteristic, complemented
32C2×#14273774C2211yescharacteristic, complemented
33C2×#14273772C2211yescharacteristic, complemented
34C2×#14273757C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic
36C2×#14273751C2211yescharacteristic, complemented
37C2×#14273747C2211yescharacteristic, complemented
38C2×SD16×D59C2211yescharacteristic, complemented
39C2×D8×D59C2211yescharacteristic
40#16838140—21no—
41#16838140—21no—
42#16838125C2211yescharacteristic, complemented
43#16838104C2211yescharacteristic, complemented
44#16838104C2211yescharacteristic, complemented
45#16838072—21no—
46#16838062C2211yescharacteristic, complemented
47#16838061C2211yescharacteristic, complemented
48#16838060C2211yescharacteristic
49#16838058C2211yescharacteristic, complemented
50#16838056C2211yescharacteristic, complemented
51#16838047—21no—
52#16838047C2211yescharacteristic
53#16838046C2211yescharacteristic, complemented
54#16838044—21no—
55#16838042—21no—
56#16838041—21no—
57#16838040C2211yescharacteristic, complemented
58#16838040C2211yescharacteristic, complemented
59#16838040C2211yescharacteristic, complemented
60#16838039—21no—
61#16838037C2211yescharacteristic, complemented
62#16838017—21no—
63#16837989—21no—
64#16837989—21no—
65#16837980C2211yescharacteristic
66#16837980C2211yescharacteristic, complemented
67#16837975C2211yescharacteristic, complemented
68#16837974—21no—
69#16837968C2211yescharacteristic
70#16837968C2211yescharacteristic, complemented
71#16837968C2211yescharacteristic, complemented
72#16837967—21no—
73#16837965—21no—
74#16837950C2211yescharacteristic, complemented
75#16837949C2211yescharacteristic
76#16837947—21no—
77#16837939C2211yescharacteristic, complemented
78C2×#14273713—21no—
79#124×D59C2211yescharacteristic, complemented
80C4×#11745687C2211yescharacteristic, complemented
81#16837789C2211yescharacteristic, complemented
82#16837787C2211yescharacteristic, complemented
83#16837783C2211yescharacteristic, complemented
84#16837762C2211yescharacteristic, complemented
85#16837761C2211yescharacteristic, complemented
86#16837758C2211yescharacteristic, complemented
87#16837755C2211yescharacteristic, complemented
88#16837745C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837738C2211yescharacteristic, complemented
92#16837730C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837724C2211yescharacteristic, complemented
96#16837724C2211yescharacteristic, complemented
97#16837724C2211yescharacteristic, complemented
98#16837718C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837708C2211yescharacteristic, complemented
101#16837700C2211yescharacteristic, complemented
102#16837698C2211yescharacteristic, complemented
103#16837692C2211yescharacteristic, complemented
104#16837659C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837653C2211yescharacteristic, complemented
108#16837648C2211yescharacteristic, complemented
109#16837645C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837640C2211yescharacteristic, complemented
112#16837638C2211yescharacteristic, complemented
113#16837635C2211yescharacteristic, complemented
114#16837634C2211yescharacteristic, complemented
115#16837633C2211yescharacteristic, complemented
116#16837630C2211yescharacteristic, complemented
117#16837629C2211yescharacteristic, complemented
118#16837627C2211yescharacteristic, complemented
119#16837624C2211yescharacteristic, complemented
120#16837619C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic, complemented
127#16837599C2211yescharacteristic, complemented
128#16837564C2211yescharacteristic, complemented
129#16837561C2211yescharacteristic, complemented
130#16837561C2211yescharacteristic, complemented
131#16837561C2211yescharacteristic, complemented
132#16837556C2211yescharacteristic, complemented
133#16837556C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837551C2211yescharacteristic, complemented
136#16837551C2211yescharacteristic, complemented
137#16837551C2211yescharacteristic, complemented
138#16837549C2211yescharacteristic
139#16837548C2211yescharacteristic
140#16837547C2211yescharacteristic, complemented
141#16837547C2211yescharacteristic, complemented
142#16837545C2211yescharacteristic, complemented
143#16837544C2211yescharacteristic
144#16837544C2211yescharacteristic, complemented
145#16837544C2211yescharacteristic, complemented
146#16837544C2211yescharacteristic, complemented
147#16837543C2211yescharacteristic, complemented
148#16837542C2211yescharacteristic, complemented
149#16837540C2211yescharacteristic, complemented
150#16837539C2211yescharacteristic, complemented
151#16837539C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic
154#16837537C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic
156#16837534C2211yescharacteristic
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837512C2211yescharacteristic, complemented
161#16837507C2211yescharacteristic, complemented
162#16837504C2211yescharacteristic, complemented
163#16837493C2211yescharacteristic, complemented
164#16837493C2211yescharacteristic, complemented
165D8×Dic59C2211yescharacteristic, complemented
166D8×Dic59C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837409C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837404C2211yescharacteristic, complemented
179#16837403C2211yescharacteristic, complemented
180#16837395C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182C2×#14273652C2211yescharacteristic, complemented
183C2×#14273648C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837368C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C2×#135×C59C2211yescharacteristic, complemented
190C59×#550C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic, complemented
192C59×#496C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203#14273774—42no—
204#14273774—42no—
205#14273772—42no—
206#14273772—42no—
207C2×#11745685—21no—
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745687—21no—
212C2×#11745687—21no—
213C2×#11745687—21no—
214C2×#11745687—21no—
215C2×#11745687—21no—
216C2×#11745687C2311yescharacteristic
217C2×#11745687C2311yescharacteristic
218C2×#11745687C2311yescharacteristic
219C22×Dic118—21no—
220C22×Dic118C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C22×C22⋊D59—21no—
224C22×C22⋊D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231#14273757—42no—
232#14273751—42no—
233#14273751—42no—
234#14273747—42no—
235C2×#11745672C2311yescharacteristic
236C2×#11745672C2311yescharacteristic
237C2×#11745660C2311yescharacteristic
238C2×#11745660C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745670C2311yescharacteristic
241C2×#11745670C2311yescharacteristic
242C2×#11745670C2311yescharacteristic
243C2×#11745671C2311yescharacteristic
244C2×#11745671C2311yescharacteristic
245SD16×D59—42no—
246C2×D472C2311yescharacteristic
247C2×#11745669C2311yescharacteristic
248C2×#11745669C2311yescharacteristic
249C2×#11745669C2311yescharacteristic
250C2×#11745669C2311yescharacteristic
251D8×D59—42no—
252C2×#11745664C2311yescharacteristic
253C2×#11745659C2311yescharacteristic
254C2×#11745659C2311yescharacteristic
255C22×C59⋊C8C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257C2×C8×D59C2311yescharacteristic
258#14273727C2311yescharacteristic
259#14273726—21no—
260#14273726D411yescharacteristic
261#14273723—21no—
262#14273723—21no—
263#14273723—21no—
264#14273723D411yescharacteristic
265#14273722—21no—
266#14273722—21no—
267#14273722—21no—
268#14273720—21no—
269#14273720—21no—
270#14273718C2311yescharacteristic
271#14273716C2311yescharacteristic
272#14273716C2311yescharacteristic
273#14273715—21no—
274#14273715C2311yescharacteristic
275#14273714—21no—
276#14273714C2311yescharacteristic
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713—21no—
285#14273713—21no—
286#14273713—21no—
287#14273713D411yescharacteristic
288#14273713D411yescharacteristic
289#14273712—21no—
290#14273712—21no—
291#14273711—21no—
292#14273711—21no—
293#14273711—21no—
294#14273711—21no—
295#14273711—21no—
296#14273710—21no—
297#14273710—21no—
298#14273710—21no—
299#14273709—21no—
300#14273708—21no—
301#14273707—21no—
302#14273707C2311yescharacteristic
303#14273706—21no—
304#14273706—21no—
305#14273706C2311yescharacteristic
306#14273705—21no—
307#14273705—21no—
308#14273704—21no—
309#14273704—21no—
310#14273703C2311yescharacteristic
311#14273703C2311yescharacteristic
312#14273703C2311yescharacteristic
313#14273703C2311yescharacteristic
314#14273702D411yescharacteristic
315#14273702C2311yescharacteristic
316#14273702C2311yescharacteristic
317#14273701—21no—
318#14273701—21no—
319#14273701—21no—
320#14273701C2311yescharacteristic
321#14273701C2311yescharacteristic
322#14273701C2311yescharacteristic
323#14273700—21no—
324#14273700—21no—
325#14273700D411yescharacteristic
326#14273700D411yescharacteristic
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273699—21no—
336#14273699—21no—
337#14273699—21no—
338#14273699—21no—
339#14273698—21no—
340#14273698—21no—
341#14273698D411yescharacteristic
342#14273698C2311yescharacteristic
343#14273698C2311yescharacteristic
344#14273698C2311yescharacteristic
345#14273698C2311yescharacteristic
346#14273698C2311yescharacteristic
347#14273697—21no—
348#14273697—21no—
349#14273697—21no—
350#14273697—21no—
351#14273696—21no—
352#14273695—21no—
353#14273695—21no—
354#14273695—21no—
355#14273695—21no—
356#14273695—21no—
357#14273695—21no—
358#14273695—21no—
359#14273695—21no—
360C4×Dic118—21no—
361C4×Dic118C2311yescharacteristic
362#14273692C2311yescharacteristic
363C4×D236—21no—
364C4×D236C2311yescharacteristic
365C4×D236C2311yescharacteristic
366D4×Dic59—21no—
367D4×Dic59—21no—
368D4×Dic59—21no—
369D4×Dic59—21no—
370D4×Dic59C2311yescharacteristic
371D4×Dic59C2311yescharacteristic
372D4×Dic59C2311yescharacteristic
373#14273689—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59C2311yescharacteristic
376C4×C22⋊D59C2311yescharacteristic
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380#14273685C2311yescharacteristic
381#14273685C2311yescharacteristic
382#14273685C2311yescharacteristic
383#14273684—21no—
384#14273683—21no—
385C2×C4⋊Dic59C2311yescharacteristic
386C2×C4⋊Dic59C2311yescharacteristic
387C2×C22⋊Dic59—21no—
388C2×(C2×D59)⋊C4—21no—
389C2×(C2×D59)⋊C4—21no—
390C2×(C2×D59)⋊C4—21no—
391C2×(C2×D59)⋊C4—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C2×C4×Dic59—21no—
395C42×D59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273661C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442#14273638C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449AGL(1,ℤ/8)×C59—42no—
450#135×C59—42no—
451C2×Q16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×D8×C59C2311yescharacteristic
457C2×D8×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×M16×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic
462#127×C59—21no—
463#127×C59C2311yescharacteristic
464#124×C59C2311yescharacteristic
465#123×C59—21no—
466C22⋊Q8×C59C2311yescharacteristic
467#121×C59—21no—
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#121×C59C2311yescharacteristic
473#120×C59—21no—
474C4×Q8×C59C2311yescharacteristic
475C4×D4×C59—21no—
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C2×C22⋊C4×C59—21no—
479#107×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495#41×C59—22no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499#41×C59—41no—
500#41×C59—41no—
501C2×Q8×C59C2411yescharacteristic
502C2×Q8×C59C2411yescharacteristic
503C2×D4×C59—22no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59—41no—
514C2×D4×C59C2×D411yescharacteristic
515C2×D4×C59C2411yescharacteristic
516C2×D4×C59C2411yescharacteristic
517C2×D4×C59C2411yescharacteristic
518C2×D4×C59C2411yescharacteristic
519C22×C4×C59—21no—
520C22×C4×C59—21no—
521C22×C4×C59—21no—
522C22×C4×C59—21no—
523C22×C4×C59C2411yescharacteristic
524C22×C4×C59C2411yescharacteristic
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—44no—
542C2×C22⋊D59—44no—
543C2×C22⋊D59C2×D411yescharacteristic
544C2×C22⋊D59C2×D411yescharacteristic
545C2×C22⋊D59C2×D411yescharacteristic
546C2×C22⋊D59C2×D411yescharacteristic
547C2×C22⋊D59C2×D411yescharacteristic
548C2×C22⋊D59C2×D411yescharacteristic
549C22×Dic59—21no—
550C22×Dic59—21no—
551C22×Dic59—21no—
552C22×Dic59—21no—
553C22×Dic59—21no—
554C22×Dic59—21no—
555C22×Dic59—21no—
556C22×Dic59—21no—
557C22×Dic59—21no—
558Q8×D59—22no—
559Q8×D59—41no—
560Q8×D59—41no—
561Q8×D59—41no—
562#11745687—22no—
563#11745687—22no—
564#11745687—22no—
565#11745687—22no—
566#11745687—41no—
567#11745687—41no—
568#11745687—44no—
569#11745687—44no—
570#11745687—44no—
571#11745687—82no—
572#11745687—82no—
573D4×D59—22no—
574D4×D59—41no—
575D4×D59—41no—
576D4×D59—41no—
577D4×D59—41no—
578D4×D59—41no—
579D4×D59—41no—
580D4×D59—41no—
581D4×D59—44no—
582D4×D59—82no—
583#11745685—22no—
584#11745685—41no—
585#11745685—41no—
586#11745685—41no—
587#11745685—41no—
588#11745685—41no—
589#11745685—44no—
590C2×D236—21no—
591C2×D236—21no—
592C2×D236C2×D411yescharacteristic
593C2×D236C2×D411yescharacteristic
594C2×D236C2×D411yescharacteristic
595C2×D236C2411yescharacteristic
596C2×D236C2411yescharacteristic
597C2×C4×D59—21no—
598C2×C4×D59—21no—
599C2×C4×D59—21no—
600C2×C4×D59—21no—
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2411yescharacteristic
604C2×C4×D59C2411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×Dic118—22no—
607C2×Dic118—21no—
608C2×Dic118—21no—
609C2×Dic118—21no—
610C2×Dic118—21no—
611C2×Dic118—41no—
612C2×Dic118—44no—
613C2×Dic118C2×D411yescharacteristic
614C2×Dic118C2×D411yescharacteristic
615C2×Dic118C2411yescharacteristic
616C2×Dic118C2411yescharacteristic
617Q16×C59—41no—
618SD16×C59—22no—
619SD16×C59—41no—
620SD16×C59—41no—
621SD16×C59—41no—
622D8×C59—22no—
623D8×C59—22no—
624D8×C59—41no—
625D8×C59—41no—
626M16×C59—41no—
627C2×C8×C59—41no—
628C2×C8×C59C2411yescharacteristic
629C2×C8×C59C2411yescharacteristic
630C2×C8×C59C2411yescharacteristic
631C2×C8×C59C2411yescharacteristic
632C4⋊C4×C59—21no—
633C4⋊C4×C59—21no—
634C4⋊C4×C59C2×D411yescharacteristic
635C4⋊C4×C59C2411yescharacteristic
636C4⋊C4×C59C2411yescharacteristic
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59C2×D411yescharacteristic
645C22⋊C4×C59C2×D411yescharacteristic
646C42×C59—21no—
647C42×C59C2411yescharacteristic
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59C2×D411yescharacteristic
660C22⋊Dic59C2×D411yescharacteristic
661#11745672—22no—
662#11745672—41no—
663#11745671—41no—
664#11745671—41no—
665#11745670—22no—
666#11745670—22no—
667#11745670—41no—
668#11745670—41no—
669#11745669—22no—
670#11745669—41no—
671#11745669—41no—
672#11745669—41no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4C2×D411yescharacteristic
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696(C2×D59)⋊C4C2×D411yescharacteristic
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59—21no—
700C4⋊Dic59—21no—
701C4⋊Dic59—21no—
702C4⋊Dic59C2×D411yescharacteristic
703C4⋊Dic59C2411yescharacteristic
704C4⋊Dic59C2411yescharacteristic
705C4⋊Dic59C2411yescharacteristic
706C4⋊Dic59C2411yescharacteristic
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4C2×D411yescharacteristic
716Dic59⋊C4C2×D411yescharacteristic
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59C2×D411yescharacteristic
723C4×Dic59C2×D411yescharacteristic
724C4×Dic59C2411yescharacteristic
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731D472—41no—
732#11745660—22no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59—21no—
742C23×C59—42no—
743C23×C59—81no—
744C23×C59—81no—
745C23×C59C22×D411yescharacteristic
746C23×C59C22×D411yescharacteristic
747C22×D59—21no—
748C22×D59—21no—
749C22×D59—42no—
750C22×D59—42no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763C22×D59C22×D411yescharacteristic
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768D4×C59—21no—
769D4×C59—21no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—41no—
776D4×C59—42no—
777D4×C59—42no—
778D4×C59—42no—
779D4×C59—81no—
780D4×C59—81no—
781D4×C59—81no—
782D4×C59—81no—
783D4×C59—81no—
784D4×C59—81no—
785D4×C59H(5,𝔽2)12yes—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—42no—
795C2×C4×C59—81no—
796C2×C4×C59—81no—
797C2×C4×C59—81no—
798C2×C4×C59C22×D411yescharacteristic
799C2×C4×C59C22×D411yescharacteristic
800C2×C4×C59C22×D411yescharacteristic
801C2×C4×C59C22×D411yescharacteristic
802C2×C4×C59C2511yescharacteristic
803C22⋊D59—24no—
804C22⋊D59—41no—
805C22⋊D59—41no—
806C22⋊D59—41no—
807C22⋊D59—41no—
808C22⋊D59—41no—
809C22⋊D59—41no—
810C22⋊D59—42no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—81no—
816C22⋊D59—81no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C2×Dic59—24no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—21no—
830C2×Dic59—21no—
831C2×Dic59—21no—
832C2×Dic59—42no—
833C2×Dic59—42no—
834C2×Dic59—42no—
835C2×Dic59—81no—
836C2×Dic59—81no—
837C2×Dic59—81no—
838C2×Dic59—81no—
839C2×Dic59—81no—
840C2×Dic59C22×D411yescharacteristic
841C2×Dic59C22×D411yescharacteristic
842C2×Dic59C22×D411yescharacteristic
843C2×Dic59C22×D411yescharacteristic
844C2×Dic59C22×D411yescharacteristic
845D236—21no—
846D236—21no—
847D236—21no—
848D236—21no—
849D236—41no—
850D236—41no—
851D236—41no—
852D236—81no—
853D236—81no—
854C4×D59—21no—
855C4×D59—21no—
856C4×D59—21no—
857C4×D59—21no—
858C4×D59—21no—
859C4×D59—21no—
860C4×D59—41no—
861C4×D59—41no—
862C4×D59—42no—
863C4×D59—42no—
864C4×D59—42no—
865C4×D59—42no—
866Dic118—21no—
867Dic118—21no—
868Dic118—21no—
869Dic118—41no—
870Dic118—41no—
871Dic118—42no—
872Dic118—42no—
873Dic118—42no—
874Dic118—42no—
875Dic118H(5,𝔽2)12yes—
876C8×C59—21no—
877C8×C59—21no—
878C8×C59—21no—
879C8×C59—21no—
880C59⋊C8—21no—
881C59⋊C8—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884#61690—591nomaximal, Sylow
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—22no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—41no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—162no—
904C22×C59C23×D411yescharacteristic
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—21no—
909C2×D59—21no—
910C2×D59—21no—
911C2×D59—21no—
912C2×D59—21no—
913C2×D59—21no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—162no—
921C2×D59—162no—
922C2×D59—162no—
923C2×D59—162no—
924C4×C59—21no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—21no—
928C4×C59—41no—
929C4×C59—41no—
930C4×C59—41no—
931C4×C59—41no—
932C4×C59C2×H(5,𝔽2)11yescharacteristic
933C4×C59C2×H(5,𝔽2)11yescharacteristic
934Dic59—21no—
935Dic59—21no—
936Dic59—22no—
937Dic59—21no—
938Dic59—21no—
939Dic59—21no—
940Dic59—41no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945#3546—591no—
946#3500—591no—
947#3326—591no—
948#3322—591no—
949#3313—591no—
950#3311—591no—
951#3308—591no—
952#3306—591no—
953#3301—591no—
954#3297—591no—
955#3282—591no—
956#3280—591no—
957#3275—591no—
958#3273—591no—
959#3271—591no—
960#3268D5911yescharacteristic, complemented
961#3265—591no—
962#3264—591no—
963#3213—591no—
964#3211—591no—
965#3201—591no—
966#3200—591no—
967#3199—591no—
968#3198—591no—
969#3111—591no—
970#3106—591no—
971#3013—591no—
972#3012—591no—
973#3010—591no—
974#3008—591no—
975#2981—591no—
976C2×C59—42no—
977C2×C59—41no—
978C2×C59—41no—
979C2×C59—81no—
980C2×C59—81no—
981C2×C59—81no—
982C2×C59#348411yescharacteristic
983C2×C59#358411yescharacteristic
984C2×C59#358511yescharacteristic
985D59—41no—
986D59—41no—
987D59—41no—
988D59—81no—
989D59—81no—
990C2×2−1+4—591no—
991C2×H(5,𝔽2)—591no—
992C2×#137—591no—
993C2×AGL(1,ℤ/8)—591no—
994C2×AGL(1,ℤ/8)—591no—
995C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
996C2×#135—591no—
997C2×#135C2×D5911yescharacteristic, complemented
998C22×SD16—591no—
999C22×D8—591no—
1000#560—1181no—
1001#560—1181no—
1002#556—591no—
1003#553—591no—
1004#553—591no—
1005#550—1181no—
1006#550C2×D5911yescharacteristic, complemented
1007#548—591no—
1008#548—591no—
1009#548—591no—
1010#548—591no—
1011#547—591no—
1012#546—591no—
1013#546—591no—
1014#546—591no—
1015#546—591no—
1016#546—591no—
1017#546—1181no—
1018#546—1181no—
1019#546—1181no—
1020#546—1181no—
1021#546—1181no—
1022#546C2×D5911yescharacteristic, complemented
1023D42—591no—
1024#542—1181no—
1025#538—1181no—
1026#538—1181no—
1027#537—591no—
1028#537—591no—
1029#536—591no—
1030#536—1181no—
1031#535—591no—
1032#535—591no—
1033#535—591no—
1034#535—1181no—
1035#535—1181no—
1036#532—591no—
1037#532—591no—
1038#532—1181no—
1039#529—591no—
1040C2×#124—591no—
1041C2×#124—1181no—
1042C4×#41—591no—
1043#496—591no—
1044#496C2×D5911yescharacteristic, complemented
1045#495—591no—
1046#495—591no—
1047#489—591no—
1048#489—591no—
1049#488—591no—
1050#488—591no—
1051#485—591no—
1052#485—591no—
1053#485—591no—
1054#484—591no—
1055#483—591no—
1056#482—591no—
1057#482—591no—
1058#482—591no—
1059#482—591no—
1060#482—591no—
1061#481—591no—
1062#480—591no—
1063#479—591no—
1064#478—591no—
1065#477—591no—
1066#476—591no—
1067#470—591no—
1068#469—591no—
1069#469—591no—
1070#469—591no—
1071#468—591no—
1072#468—591no—
1073#468—591no—
1074#468C2×D5911yescharacteristic, complemented
1075#467—591no—
1076#466—591no—
1077#466—591no—
1078#466C2×D5911yescharacteristic, complemented
1079#465—591no—
1080#465—591no—
1081#465—591no—
1082#465—591no—
1083#464—591no—
1084#464—591no—
1085#464C2×D5911yescharacteristic, complemented
1086#463—591no—
1087#463—591no—
1088#463—591no—
1089#463—591no—
1090#463—591no—
1091#463—591no—
1092#463—591no—
1093#460—591no—
1094#459C2×D5911yescharacteristic, complemented
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452C2×D5911yescharacteristic, complemented
1100#451—591no—
1101#451—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449C2×D5911yescharacteristic, complemented
1116#449C2×D5911yescharacteristic, complemented
1117#448—591no—
1118#448—591no—
1119#448—591no—
1120#448—591no—
1121#448—591no—
1122#448—591no—
1123#447—591no—
1124#447—591no—
1125#447—591no—
1126#447—591no—
1127#447—591no—
1128#447—591no—
1129#447—591no—
1130#447C2×D5911yescharacteristic, complemented
1131#442—591no—
1132#441—591no—
1133#440—591no—
1134#440C2×D5911yescharacteristic, complemented
1135C4×SD16—591no—
1136C4×SD16—591no—
1137C4×D8—591no—
1138C4×D8—591no—
1139#436—591no—
1140#436—591no—
1141#435—591no—
1142#435—591no—
1143#435—591no—
1144#435C2×D5911yescharacteristic, complemented
1145C8×D4—591no—
1146C8×D4—591no—
1147#432—591no—
1148#431—591no—
1149#419—591no—
1150#418—591no—
1151#417—591no—
1152#417—591no—
1153#416—591no—
1154#416—591no—
1155C2×#103—591no—
1156C2×#102—591no—
1157#408—591no—
1158#408—591no—
1159#408—591no—
1160#408—591no—
1161C59#6169011yescharacteristic, complemented, Sylow
11622−1+4—2362no—
11632−1+4—2362no—
1164H(5,𝔽2)—2362no—
1165H(5,𝔽2)—2362no—
1166C2×#41—591no—
1167C2×#41—591no—
1168C2×#41—591no—
1169C2×#41—591no—
1170C2×#41—591no—
1171C2×#41—591no—
1172C2×#41—1181no—
1173C2×#41—1181no—
1174C2×#41—1181no—
1175C2×#41—1181no—
1176C2×#41—1181no—
1177C2×#41—1181no—
1178C2×#41C22×D5911yescharacteristic
1179C2×#41C22×D5911yescharacteristic
1180C2×#41C22×D5911yescharacteristic
1181C22×Q8—591no—
1182C22×Q8—591no—
1183C22×Q8—591no—
1184C22×Q8—1181no—
1185C22×D4—591no—
1186C22×D4—591no—
1187C22×D4—591no—
1188C22×D4—591no—
1189C22×D4—1181no—
1190C22×D4—1181no—
1191C22×D4—1181no—
1192C22×D4—1181no—
1193C22×D4C22×D5911yescharacteristic
1194#137—2362no—
1195AGL(1,ℤ/8)—42no—
1196AGL(1,ℤ/8)—2362no—
1197AGL(1,ℤ/8)—2362no—
1198#135—42no—
1199#135—2362no—
1200C2×Q16—591no—
1201C2×Q16—591no—
1202C2×Q16C22×D5911yescharacteristic
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—2362no—
1212C2×SD16C22×D5911yescharacteristic
1213C2×SD16C22×D5911yescharacteristic
1214C2×SD16C22×D5911yescharacteristic
1215C2×SD16C22×D5911yescharacteristic
1216C2×D8—591no—
1217C2×D8—591no—
1218C2×D8—591no—
1219C2×D8—591no—
1220C2×D8—591no—
1221C2×D8—2362no—
1222C2×D8C22×D5911yescharacteristic
1223C2×D8C22×D5911yescharacteristic
1224C2×D8C22×D5911yescharacteristic
1225C2×D8C22×D5911yescharacteristic
1226C2×M16—591no—
1227C2×M16—591no—
1228C2×M16—591no—
1229C2×M16C22×D5911yescharacteristic
1230C22×C8—591no—
1231C22×C8—591no—
1232C22×C8—591no—
1233C22×C8C22×D5911yescharacteristic
1234C4⋊Q8—591no—
1235C4⋊Q8—591no—
1236C4⋊Q8—1181no—
1237#127—21no—
1238#127—591no—
1239#127—1181no—
1240#127—1181no—
1241#127—1181no—
1242#127C22×D5911yescharacteristic
1243#126—1181no—
1244#126—1181no—
1245#126—1181no—
1246#126—1181no—
1247#126—1181no—
1248#125—591no—
1249#124—591no—
1250#124—591no—
1251#124—591no—
1252#124—591no—
1253#124—591no—
1254#124—591no—
1255#124—1181no—
1256#124—1181no—
1257#124—1181no—
1258#124—1181no—
1259#124—1181no—
1260#124—1181no—
1261#124—1181no—
1262#124—1181no—
1263#124—1181no—
1264#124—1181no—
1265#124—1181no—
1266#124—1181no—
1267#124C22×D5911yescharacteristic
1268#123—21no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278#123—1181no—
1279#123—1181no—
1280#123—1181no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8C22×D5911yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121C22×D5911yescharacteristic
1332#121C22×D5911yescharacteristic
1333#121C22×D5911yescharacteristic
1334#120—21no—
1335#120—1181no—
1336#120—1181no—
1337#120—1181no—
1338#120—1181no—
1339#120—1181no—
1340#120—1181no—
1341#120—1181no—
1342#120—1181no—
1343#120—1181no—
1344#120—1181no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348C4×Q8—591no—
1349C4×Q8—591no—
1350C4×Q8—1181no—
1351C4×Q8C22×D5911yescharacteristic
1352C4×D4—21no—
1353C4×D4—591no—
1354C4×D4—591no—
1355C4×D4—591no—
1356C4×D4—591no—
1357C4×D4—591no—
1358C4×D4—591no—
1359C4×D4—591no—
1360C4×D4—1181no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4—1181no—
1366C4×D4—1181no—
1367C4×D4—1181no—
1368C4×D4—1181no—
1369C4×D4—1181no—
1370C4×D4C22×D5911yescharacteristic
1371C4×D4C22×D5911yescharacteristic
1372#117—591no—
1373#117—591no—
1374#117—591no—
1375#117—1181no—
1376#117—1181no—
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4—591no—
1379C2×C22⋊C4—21no—
1380C2×C22⋊C4—1181no—
1381C2×C22⋊C4—1181no—
1382C2×C22⋊C4—1181no—
1383C2×C22⋊C4—1181no—
1384C2×C22⋊C4—1181no—
1385C2×C22⋊C4—1181no—
1386C2×C22⋊C4—1181no—
1387C2×C42—591no—
1388C2×C42—1181no—
1389#107—591no—
1390#107—591no—
1391#107—591no—
1392#107C22×D5911yescharacteristic
1393#106—591no—
1394#106—591no—
1395#106—591no—
1396#106—591no—
1397C4⋊C8—591no—
1398C4⋊C8—591no—
1399C4⋊C8—591no—
1400C4⋊C8C22×D5911yescharacteristic
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103C22×D5911yescharacteristic
1414#103C22×D5911yescharacteristic
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102C22×D5911yescharacteristic
1430#102C22×D5911yescharacteristic
1431#102C22×D5911yescharacteristic
1432#102C22×D5911yescharacteristic
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8—591no—
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8C22×D5911yescharacteristic
1444C22⋊C8C22×D5911yescharacteristic
1445#97—591no—
1446#97C22×D5911yescharacteristic
1447C4×C8—591no—
1448C4×C8—591no—
1449C24—21no—
1450C24—1181no—
1451C24—1181no—
1452C24—1181no—
1453C24—1181no—
1454#41—22no—
1455#41—41no—
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—41no—
1460#41—1182no—
1461#41—1182no—
1462#41—1182no—
1463#41—1182no—
1464#41—1182no—
1465#41—4722no—
1466#41—4722no—
1467#41—2361no—
1468#41—2361no—
1469#41—2361no—
1470#41—2361no—
1471#41—2361no—
1472#41—2364no—
1473#41—2361no—
1474#41—2361no—
1475#41—2364no—
1476#41—2364no—
1477#41—2364no—
1478C2×Q8—591no—
1479C2×Q8—591no—
1480C2×Q8—591no—
1481C2×Q8—591no—
1482C2×Q8—1181no—
1483C2×Q8—1181no—
1484C2×Q8—1182no—
1485C2×Q8—1181no—
1486C2×Q8—1181no—
1487C2×Q8—1182no—
1488C2×Q8—2361no—
1489C2×Q8—2364no—
1490C2×Q8—2361no—
1491C2×Q8—2361no—
1492C2×Q8—2361no—
1493C2×Q8C23×D5911yescharacteristic
1494C2×Q8C23×D5911yescharacteristic
1495C2×D4—22no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—41no—
1506C2×D4—591no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—591no—
1513C2×D4—591no—
1514C2×D4—591no—
1515C2×D4—591no—
1516C2×D4—591no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1182no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—4722no—
1537C2×D4—2361no—
1538C2×D4—2361no—
1539C2×D4—2361no—
1540C2×D4—2361no—
1541C2×D4—2361no—
1542C2×D4—2361no—
1543C2×D4—2361no—
1544C2×D4—2364no—
1545C2×D4—2364no—
1546C2×D4—2364no—
1547C2×D4D4×D5911yescharacteristic
1548C2×D4C23×D5911yescharacteristic
1549C2×D4C23×D5911yescharacteristic
1550C2×D4C23×D5911yescharacteristic
1551C2×D4C23×D5911yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—591no—
1557C22×C4—591no—
1558C22×C4—591no—
1559C22×C4—591no—
1560C22×C4—591no—
1561C22×C4—1181no—
1562C22×C4—1181no—
1563C22×C4—1181no—
1564C22×C4—1181no—
1565C22×C4—1181no—
1566C22×C4—1181no—
1567C22×C4—1181no—
1568C22×C4—1181no—
1569C22×C4—1181no—
1570C22×C4—1181no—
1571C22×C4—1181no—
1572C22×C4—1181no—
1573C22×C4—1181no—
1574C22×C4C23×D5911yescharacteristic
1575C22×C4C23×D5911yescharacteristic
1576Q16—41no—
1577Q16—1182no—
1578Q16—2361no—
1579SD16—22no—
1580SD16—41no—
1581SD16—41no—
1582SD16—41no—
1583SD16—1182no—
1584SD16—1182no—
1585SD16—1182no—
1586SD16—2361no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591D8—22no—
1592D8—22no—
1593D8—41no—
1594D8—41no—
1595D8—1182no—
1596D8—2361no—
1597D8—2361no—
1598D8—2361no—
1599D8—2361no—
1600M16—41no—
1601M16—2361no—
1602M16—2361no—
1603M16—2361no—
1604C2×C8—41no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—591no—
1609C2×C8—2361no—
1610C2×C8—2361no—
1611C2×C8—2361no—
1612C2×C8C23×D5911yescharacteristic
1613C2×C8C23×D5911yescharacteristic
1614C2×C8C23×D5911yescharacteristic
1615C2×C8C23×D5911yescharacteristic
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—591no—
1619C4⋊C4—591no—
1620C4⋊C4—591no—
1621C4⋊C4—591no—
1622C4⋊C4—591no—
1623C4⋊C4—591no—
1624C4⋊C4—591no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
1636C4⋊C4—1181no—
1637C4⋊C4—1181no—
1638C4⋊C4D4×D5911yescharacteristic
1639C4⋊C4C23×D5911yescharacteristic
1640C4⋊C4C23×D5911yescharacteristic
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—591no—
1649C22⋊C4—591no—
1650C22⋊C4—591no—
1651C22⋊C4—591no—
1652C22⋊C4—591no—
1653C22⋊C4—591no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4D4×D5911yescharacteristic
1686C22⋊C4D4×D5911yescharacteristic
1687C42—21no—
1688C42—591no—
1689C42—591no—
1690C42—591no—
1691C42—1181no—
1692C42—1181no—
1693C42—1181no—
1694C42—1181no—
1695C42—1181no—
1696C42C23×D5911yescharacteristic
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—42no—
1702C23—81no—
1703C23—81no—
1704C23—591no—
1705C23—591no—
1706C23—591no—
1707C23—1181no—
1708C23—1181no—
1709C23—4721no—
1710C23—4721no—
1711C23—4721no—
1712C23—4721no—
1713C23—4721no—
1714C23—4721no—
1715C23—4721no—
1716C23—4721no—
1717C23—4721no—
1718C23—4721no—
1719C23—2362no—
1720C23—2362no—
1721C23C2×D4×D5911yescharacteristic
1722C23C2×D4×D5911yescharacteristic
1723Q8—21no—
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—592no—
1728Q8—1181no—
1729Q8—1181no—
1730Q8—1181no—
1731Q8—2361no—
1732Q8—2361no—
1733Q8—2362no—
1734Q8—2362no—
1735Q8—2362no—
1736Q8—2362no—
1737D4—21no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—41no—
1745D4—42no—
1746D4—42no—
1747D4—42no—
1748D4—81no—
1749D4—81no—
1750D4—81no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754D4—1184no—
1755D4—1181no—
1756D4—1181no—
1757D4—1181no—
1758D4—1181no—
1759D4—4721no—
1760D4—4721no—
1761D4—4721no—
1762D4—4721no—
1763D4—4721no—
1764D4—4721no—
1765D4—4721no—
1766D4—4721no—
1767D4—4721no—
1768D4—4721no—
1769D4—4721no—
1770D4—4721no—
1771D4—2361no—
1772D4—2361no—
1773D4—2361no—
1774D4—2361no—
1775D4—2361no—
1776D4—2361no—
1777D4—2361no—
1778D4—2361no—
1779D4—2361no—
1780D4—2362no—
1781D4—2362no—
1782D4—2362no—
1783D4—2362no—
1784D4—2362no—
1785D4#1427377212yes—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—42no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4—81no—
1798C2×C4—591no—
1799C2×C4—591no—
1800C2×C4—591no—
1801C2×C4—591no—
1802C2×C4—591no—
1803C2×C4—1184no—
1804C2×C4—1181no—
1805C2×C4—1181no—
1806C2×C4—1181no—
1807C2×C4—1181no—
1808C2×C4—1181no—
1809C2×C4—1181no—
1810C2×C4—1181no—
1811C2×C4—1181no—
1812C2×C4—1181no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—1181no—
1816C2×C4—4721no—
1817C2×C4—4721no—
1818C2×C4—4721no—
1819C2×C4—4721no—
1820C2×C4—4721no—
1821C2×C4—2361no—
1822C2×C4—2361no—
1823C2×C4—2362no—
1824C2×C4—2362no—
1825C2×C4—2362no—
1826C2×C4—2362no—
1827C2×C4—2362no—
1828C2×C4—2362no—
1829C2×C4—2362no—
1830C2×C4C2×D4×D5911yescharacteristic
1831C2×C4C2×D4×D5911yescharacteristic
1832C2×C4C2×D4×D5911yescharacteristic
1833C2×C4C2×D4×D5911yescharacteristic
1834C2×C4C24×D5911yescharacteristic
1835C8—21no—
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—1181no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C22—21no—
1844C22—21no—
1845C22—22no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—162no—
1862C22—1181no—
1863C22—1181no—
1864C22—1181no—
1865C22—1181no—
1866C22—1181no—
1867C22—1181no—
1868C22—1181no—
1869C22—1181no—
1870C22—1181no—
1871C22—9442no—
1872C22—9442no—
1873C22—9442no—
1874C22—9442no—
1875C22—2361no—
1876C22—2361no—
1877C22—2361no—
1878C22—2361no—
1879C22—2361no—
1880C22—2361no—
1881C22C22×D4×D5911yescharacteristic
1882C4—21no—
1883C4—21no—
1884C4—21no—
1885C4—21no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—1181no—
1891C4—1181no—
1892C4—1181no—
1893C4—1182no—
1894C4—1181no—
1895C4—1181no—
1896C4—2361no—
1897C4—2361no—
1898C4—2361no—
1899C4—2361no—
1900C4—2361no—
1901C4H(5,𝔽2)×D5911yescharacteristic
1902C4C2×#1427377211yescharacteristic
1903C2—41no—
1904C2—41no—
1905C2—42no—
1906C2—81no—
1907C2—81no—
1908C2—81no—
1909C2—4721no—
1910C2—4721no—
1911C2—2361no—
1912C2—2361no—
1913C2—2361no—
1914C2#2143772411yescharacteristic
1915C2#2143886411yescharacteristic
1916C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3268C2
socleC22×C59C23×D4
hypercenter#3268D59
hypocenterC59#61690
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #21438456C2semidirect
2. #21437882C2semidirect
3. #21436344C2semidirect
4. #21436290C2semidirect
5. #21436169C2semidirect
6. #21436137C2semidirect
7. #21436089C2semidirect
8. #21436057C2semidirect
9. #21436004C2semidirect
10. #21435950C2semidirect
11. #21435801C2semidirect
12. #21435775C2semidirect
13. #21435725C2semidirect
14. #21435701C2semidirect
15. #21435677C2semidirect
16. #21435590C2semidirect
17. #21435571C2semidirect
18. #21435078C2semidirect
19. #21435065C2semidirect
20. #21434977C2semidirect
21. #21434964C2semidirect
22. #21434956C2semidirect
23. #21434945C2semidirect
24. #21434209C2semidirect
25. #21434153C2semidirect
26. #21433407C2semidirect
27. #21433399C2semidirect
28. #21433379C2semidirect
29. #21433359C2semidirect
30. #21433168C2semidirect
31. C59×#3268C2semidirect
32. C2×#14273774C22semidirect
33. C2×#14273772C22semidirect
34. C2×#14273757C22semidirect
36. C2×#14273751C22semidirect
37. C2×#14273747C22semidirect
38. C2×SD16×D59C22semidirect
42. #16838125C22semidirect
43. #16838104C22semidirect
44. #16838104C22semidirect
46. #16838062C22semidirect
47. #16838061C22semidirect
49. #16838058C22semidirect
50. #16838056C22semidirect
53. #16838046C22semidirect
57. #16838040C22semidirect
58. #16838040C22semidirect
59. #16838040C22semidirect
61. #16838037C22semidirect
66. #16837980C22semidirect
67. #16837975C22semidirect
70. #16837968C22semidirect
71. #16837968C22semidirect
74. #16837950C22semidirect
77. #16837939C22semidirect
79. #124×D59C22semidirect
80. C4×#11745687C22semidirect
81. #16837789C22semidirect
82. #16837787C22semidirect
83. #16837783C22semidirect
84. #16837762C22semidirect
85. #16837761C22semidirect
86. #16837758C22semidirect
87. #16837755C22semidirect
88. #16837745C22semidirect
89. #16837742C22semidirect
90. #16837742C22semidirect
91. #16837738C22semidirect
92. #16837730C22semidirect
93. #16837729C22semidirect
94. #16837729C22semidirect
95. #16837724C22semidirect
96. #16837724C22semidirect
97. #16837724C22semidirect
98. #16837718C22semidirect
99. #16837716C22semidirect
100. #16837708C22semidirect
101. #16837700C22semidirect
102. #16837698C22semidirect
103. #16837692C22semidirect
104. #16837659C22semidirect
105. #16837654C22semidirect
106. #16837653C22semidirect
107. #16837653C22semidirect
108. #16837648C22semidirect
109. #16837645C22semidirect
110. #16837645C22semidirect
111. #16837640C22semidirect
112. #16837638C22semidirect
113. #16837635C22semidirect
114. #16837634C22semidirect
115. #16837633C22semidirect
116. #16837630C22semidirect
117. #16837629C22semidirect
118. #16837627C22semidirect
119. #16837624C22semidirect
120. #16837619C22semidirect
121. #16837619C22semidirect
122. #16837619C22semidirect
123. #16837618C22semidirect
124. #16837615C22semidirect
125. #16837615C22semidirect
126. #16837614C22semidirect
127. #16837599C22semidirect
128. #16837564C22semidirect
129. #16837561C22semidirect
130. #16837561C22semidirect
131. #16837561C22semidirect
132. #16837556C22semidirect
133. #16837556C22semidirect
134. #16837554C22semidirect
135. #16837551C22semidirect
136. #16837551C22semidirect
137. #16837551C22semidirect
140. #16837547C22semidirect
141. #16837547C22semidirect
142. #16837545C22semidirect
144. #16837544C22semidirect
145. #16837544C22semidirect
146. #16837544C22semidirect
147. #16837543C22semidirect
148. #16837542C22semidirect
149. #16837540C22semidirect
150. #16837539C22semidirect
151. #16837539C22semidirect
152. #16837539C22semidirect
154. #16837537C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837512C22semidirect
161. #16837507C22semidirect
162. #16837504C22semidirect
163. #16837493C22semidirect
164. #16837493C22semidirect
165. D8×Dic59C22semidirect
166. D8×Dic59C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837475C22semidirect
170. #16837474C22semidirect
171. #16837472C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837454C22semidirect
176. #16837409C22semidirect
177. #16837405C22semidirect
178. #16837404C22semidirect
179. #16837403C22semidirect
180. #16837395C22semidirect
181. #16837395C22semidirect
182. C2×#14273652C22semidirect
183. C2×#14273648C22semidirect
184. #16837370C22semidirect
185. #16837368C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C2×#135×C59C22semidirect
190. C59×#550C22semidirect
191. C59×#546C22semidirect
192. C59×#496C22semidirect
193. C59×#468C22semidirect
194. C59×#466C22semidirect
195. C59×#464C22semidirect
196. C59×#459C22semidirect
197. C59×#452C22semidirect
198. C59×#449C22semidirect
199. C59×#449C22semidirect
200. C59×#447C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
960. #3268D59semidirect
995. C2×AGL(1,ℤ/8)C2×D59semidirect
997. C2×#135C2×D59semidirect
1006. #550C2×D59semidirect
1022. #546C2×D59semidirect
1044. #496C2×D59semidirect
1074. #468C2×D59semidirect
1078. #466C2×D59semidirect
1085. #464C2×D59semidirect
1094. #459C2×D59semidirect
1099. #452C2×D59semidirect
1115. #449C2×D59semidirect
1116. #449C2×D59semidirect
1130. #447C2×D59semidirect
1134. #440C2×D59semidirect
1144. #435C2×D59semidirect
1161. C59#61690semidirect

Maximal subgroups

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

subgroupindex
#214384562
#214378822
#214363442
#214362902
#214361692
#214361372
#214360892
#214360572
#214360042
#214359502
#214358012
#214357752
#214357252
#214357012
#214356772
#214355902
#214355712
#214350782
#214350652
#214349772
#214349642
#214349562
#214349452
#214342092
#214341532
#214334072
#214333992
#214333792
#214333592
#214331682
C59×#32682
#6169059