Finite Group Databasebeta

← #29475880

Subgroups — #29475880

Order 15104.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1984 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438460C211yesmaximal, characteristic, complemented
2#21437873C211yesmaximal, characteristic, complemented
3#21436416C211yesmaximal, characteristic, complemented
4#21436322C211yesmaximal, characteristic, complemented
5#21436244C211yesmaximal, characteristic, complemented
6#21436239C211yesmaximal, characteristic, complemented
7#21436107C211yesmaximal, characteristic, complemented
8#21436102C211yesmaximal, characteristic, complemented
9#21436028C211yesmaximal, characteristic, complemented
10#21435904C211yesmaximal, characteristic, complemented
11#21435850C211yesmaximal, characteristic, complemented
12#21435766C211yesmaximal, characteristic, complemented
13#21435710C211yesmaximal, characteristic, complemented
14#21435709C211yesmaximal, characteristic, complemented
15#21435631C211yesmaximal, characteristic, complemented
16#21435577C211yesmaximal, characteristic, complemented
17#21435575C211yesmaximal, characteristic, complemented
18#21435110C211yesmaximal, characteristic, complemented
19#21435013C211yesmaximal, characteristic, complemented
20#21434959C211yesmaximal, characteristic, complemented
21#21434956C211yesmaximal, characteristic, complemented
22#21434949C211yesmaximal, characteristic, complemented
23#21434947C211yesmaximal, characteristic, complemented
24#21434245C211yesmaximal, characteristic, complemented
25#21434113C211yesmaximal, characteristic, complemented
26#21433404C211yesmaximal, characteristic, complemented
27#21433396C211yesmaximal, characteristic, complemented
28#21433363C211yesmaximal, characteristic, complemented
29#21433361C211yesmaximal, characteristic, complemented
30#21433168C211yesmaximal, characteristic, complemented
31C59×#3268C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C2×#14273773C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273752C2211yescharacteristic, complemented
37C2×#14273750C2211yescharacteristic, complemented
38C22×#11745669C2211yescharacteristic, complemented
39C2×D8×D59C2211yescharacteristic, complemented
40#16838142—21no—
41#16838141—21no—
42#16838123C2211yescharacteristic, complemented
43#16838102C2211yescharacteristic, complemented
44#16838098C2211yescharacteristic, complemented
45#16838074C2211yescharacteristic, complemented
46#16838071C2211yescharacteristic
47#16838071C2211yescharacteristic, complemented
48#16838071C2211yescharacteristic, complemented
49#16838070—21no—
50#16838052C2211yescharacteristic, complemented
51#16838045C2211yescharacteristic, complemented
52#16838042—21no—
53D4×D236—21no—
54D4×D236C2211yescharacteristic, complemented
55#16838037—21no—
56#16838037C2211yescharacteristic, complemented
57#16838036—21no—
58#16838036—21no—
59#16838036C2211yescharacteristic
60#16838036C2211yescharacteristic, complemented
61D4×C22⋊D59C2211yescharacteristic, complemented
62#16838020—21no—
63#16837990—21no—
64#16837984—21no—
65#16837982C2211yescharacteristic, complemented
66#16837980C2211yescharacteristic, complemented
67#16837969C2211yescharacteristic, complemented
68#16837968—21no—
69#16837968—21no—
70#16837968C2211yescharacteristic, complemented
71#16837968C2211yescharacteristic, complemented
72#16837968C2211yescharacteristic, complemented
73#16837967—21no—
74#16837949—21no—
75#16837949C2211yescharacteristic
76#16837949C2211yescharacteristic, complemented
77#127×D59—21no—
78#127×D59C2211yescharacteristic, complemented
79#16837931C2211yescharacteristic, complemented
80C4×#11745689C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic, complemented
82#16837777C2211yescharacteristic, complemented
83#16837777C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837741C2211yescharacteristic, complemented
89#16837729C2211yescharacteristic, complemented
90#16837729C2211yescharacteristic, complemented
91#16837727C2211yescharacteristic, complemented
92#16837725C2211yescharacteristic, complemented
93#16837724C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837723C2211yescharacteristic, complemented
96#16837721C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837713C2211yescharacteristic, complemented
100#16837709C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic, complemented
102#16837685C2211yescharacteristic, complemented
103#16837681C2211yescharacteristic, complemented
104#16837655C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837653C2211yescharacteristic, complemented
108#16837652C2211yescharacteristic, complemented
109#16837652C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837638C2211yescharacteristic, complemented
112#16837637C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic, complemented
115#16837635C2211yescharacteristic, complemented
116#16837633C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837614C2211yescharacteristic, complemented
119#16837600C2211yescharacteristic, complemented
120#16837600C2211yescharacteristic, complemented
121#16837600C2211yescharacteristic, complemented
122#16837598C2211yescharacteristic, complemented
123#16837597C2211yescharacteristic, complemented
124#16837596C2211yescharacteristic, complemented
125#16837595C2211yescharacteristic, complemented
126#16837595C2211yescharacteristic, complemented
127#16837594C2211yescharacteristic, complemented
128#16837563C2211yescharacteristic, complemented
129#16837563C2211yescharacteristic, complemented
130#16837552C2211yescharacteristic, complemented
131#16837551C2211yescharacteristic, complemented
132#16837551C2211yescharacteristic, complemented
133#16837551C2211yescharacteristic, complemented
134#16837550C2211yescharacteristic, complemented
135#16837550C2211yescharacteristic, complemented
136#16837547C2211yescharacteristic, complemented
137#16837547C2211yescharacteristic, complemented
138#16837547C2211yescharacteristic, complemented
139#16837546C2211yescharacteristic
140#16837546C2211yescharacteristic, complemented
141#16837546C2211yescharacteristic, complemented
142#16837546C2211yescharacteristic, complemented
143#16837546C2211yescharacteristic, complemented
144#16837546C2211yescharacteristic, complemented
145#16837538C2211yescharacteristic, complemented
146#16837538C2211yescharacteristic, complemented
147#16837537C2211yescharacteristic, complemented
148#16837537C2211yescharacteristic, complemented
149#16837537C2211yescharacteristic, complemented
150#16837536C2211yescharacteristic, complemented
151#16837535C2211yescharacteristic, complemented
152#16837534C2211yescharacteristic, complemented
153#16837534C2211yescharacteristic, complemented
154#16837534C2211yescharacteristic, complemented
155#16837534C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837515C2211yescharacteristic, complemented
161#16837512C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163Q16×Dic59C2211yescharacteristic, complemented
164SD16×Dic59C2211yescharacteristic, complemented
165#16837487C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, 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#16837408C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837403C2211yescharacteristic, complemented
179#16837402C2211yescharacteristic, complemented
180#16837398C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182C2×#14273649C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, 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#14273773—42no—
204#14273773—42no—
205#14273773—42no—
206#14273773—42no—
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745685—21no—
212C2×#11745685—21no—
213C2×#11745685—21no—
214C2×#11745685C2311yescharacteristic
215C2×#11745685C2311yescharacteristic
216C2×#11745687—21no—
217C22×D236—21no—
218C22×D236—21no—
219C22×D236C2311yescharacteristic
220C22×D236C2311yescharacteristic
221C22×C22⋊D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59—21no—
231C2×D4×D59—21no—
232C2×D4×D59C2311yescharacteristic
233C2×D4×D59C2311yescharacteristic
234C2×D4×D59C2311yescharacteristic
235C2×D4×D59C2311yescharacteristic
236C2×D4×D59C2311yescharacteristic
237#14273754—42no—
238#14273754—42no—
239#14273752—42no—
240#14273750—42no—
241C2×#11745671C2311yescharacteristic
242C2×#11745671C2311yescharacteristic
243C2×#11745671C2311yescharacteristic
244C2×#11745671C2311yescharacteristic
245C2×D472C2311yescharacteristic
246C2×D472C2311yescharacteristic
247C2×D472C2311yescharacteristic
248C2×#11745669—42no—
249C2×#11745669C2311yescharacteristic
250C2×#11745669C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255C2×#11745669C2311yescharacteristic
256C2×#11745669C2311yescharacteristic
257D8×D59—42no—
258C2×#11745664C2311yescharacteristic
259C2×#11745659C2311yescharacteristic
260C2×#11745659C2311yescharacteristic
261C22×C59⋊C8C2311yescharacteristic
262C2×C8×D59C2311yescharacteristic
263C2×C8×D59C2311yescharacteristic
264#14273726D411yescharacteristic
265#14273726C2311yescharacteristic
266#14273724—21no—
267#14273724C2311yescharacteristic
268#14273723—21no—
269#14273723—21no—
270#14273723—21no—
271#14273723—21no—
272#14273723—21no—
273#14273723—21no—
274#14273723—21no—
275#14273723—21no—
276#14273723—21no—
277#14273723D411yescharacteristic
278#14273723C2311yescharacteristic
279#14273723C2311yescharacteristic
280#14273723C2311yescharacteristic
281#14273722—21no—
282#14273722—21no—
283#14273720—21no—
284#14273720—21no—
285#14273720—21no—
286#14273719C2311yescharacteristic
287#14273714—21no—
288#14273713—21no—
289#14273713—21no—
290#14273713—21no—
291#14273713—21no—
292#14273713—21no—
293#14273713D411yescharacteristic
294#14273713D411yescharacteristic
295#14273710—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273709—21no—
300#14273708—21no—
301#14273706—21no—
302#14273705—21no—
303#14273704—21no—
304#14273703C2311yescharacteristic
305#14273703C2311yescharacteristic
306#14273702—21no—
307#14273702—21no—
308#14273702—21no—
309#14273702—21no—
310#14273702D411yescharacteristic
311#14273702C2311yescharacteristic
312#14273702C2311yescharacteristic
313#14273702C2311yescharacteristic
314#14273701—21no—
315#14273701—21no—
316#14273701—21no—
317#14273701—21no—
318#14273701C2311yescharacteristic
319#14273701C2311yescharacteristic
320#14273701C2311yescharacteristic
321#14273701C2311yescharacteristic
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273700D411yescharacteristic
330#14273700D411yescharacteristic
331#14273699—21no—
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273698—21no—
336#14273698—21no—
337#14273698—21no—
338#14273698—21no—
339#14273698D411yescharacteristic
340#14273698C2311yescharacteristic
341#14273698C2311yescharacteristic
342#14273698C2311yescharacteristic
343#14273698C2311yescharacteristic
344#14273698C2311yescharacteristic
345#14273698C2311yescharacteristic
346#14273698C2311yescharacteristic
347#14273697—21no—
348#14273697—21no—
349#14273697—21no—
350#14273697—21no—
351#14273697—21no—
352#14273697—21no—
353#14273697—21no—
354#14273697—21no—
355#14273696—21no—
356#14273696—21no—
357#14273696—21no—
358#14273695—21no—
359#14273695—21no—
360#14273695—21no—
361#14273695—21no—
362#14273695—21no—
363#14273695—21no—
364#14273695—21no—
365#14273695—21no—
366Q8×Dic59C2311yescharacteristic
367Q8×Dic59C2311yescharacteristic
368#14273692—21no—
369C4×D236—21no—
370C4×D236—21no—
371C4×D236C2311yescharacteristic
372C4×D236C2311yescharacteristic
373C4×D236C2311yescharacteristic
374D4×Dic59C2311yescharacteristic
375#14273689—21no—
376#14273689C2311yescharacteristic
377C4×C22⋊D59—21no—
378C4×C22⋊D59—21no—
379C4×C22⋊D59—21no—
380C4×C22⋊D59—21no—
381C4×C22⋊D59—21no—
382C4×C22⋊D59C2311yescharacteristic
383C4×C22⋊D59C2311yescharacteristic
384(C22⋊D59)⋊C4—21no—
385(C22⋊D59)⋊C4—21no—
386#14273686C2311yescharacteristic
387#14273685—21no—
388#14273685C2311yescharacteristic
389#14273685C2311yescharacteristic
390#14273683—21no—
391C2×C4⋊Dic59C2311yescharacteristic
392C4⋊C4×D59C2311yescharacteristic
393C22⋊C4×D59—21no—
394C42×D59—21no—
395C42×D59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
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—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59—21no—
498#41×C59—22no—
499#41×C59—22no—
500#41×C59—41no—
501#41×C59—41no—
502#41×C59—41no—
503#41×C59—41no—
504C2×Q8×C59C2411yescharacteristic
505C2×Q8×C59C2411yescharacteristic
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—21no—
514C2×D4×C59—21no—
515C2×D4×C59—41no—
516C2×D4×C59—41no—
517C2×D4×C59C2×D411yescharacteristic
518C2×D4×C59C2411yescharacteristic
519C2×D4×C59C2411yescharacteristic
520C2×D4×C59C2411yescharacteristic
521C2×D4×C59C2411yescharacteristic
522C22×C4×C59—21no—
523C22×C4×C59—21no—
524C22×C4×C59—21no—
525C22×C4×C59—21no—
526C22×C4×C59C2411yescharacteristic
527C22×C4×C59C2411yescharacteristic
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—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—82no—
551C2×C22⋊D59C2×D411yescharacteristic
552C2×C22⋊D59C2×D411yescharacteristic
553C2×C22⋊D59C2×D411yescharacteristic
554C2×C22⋊D59C2×D411yescharacteristic
555C2×C22⋊D59C2×D411yescharacteristic
556C2×C22⋊D59C2×D411yescharacteristic
557C22×Dic59—21no—
558C22×Dic59—21no—
559#11745689—22no—
560#11745689—22no—
561#11745689—22no—
562#11745689—22no—
563#11745689—41no—
564#11745689—41no—
565#11745689—41no—
566#11745689—41no—
567#11745687—82no—
568D4×D59—22no—
569D4×D59—22no—
570D4×D59—41no—
571D4×D59—41no—
572D4×D59—41no—
573D4×D59—41no—
574D4×D59—41no—
575D4×D59—41no—
576D4×D59—41no—
577D4×D59—41no—
578D4×D59—44no—
579D4×D59—44no—
580D4×D59—44no—
581D4×D59—44no—
582D4×D59—82no—
583D4×D59—82no—
584D4×D59—82no—
585D4×D59—82no—
586D4×D59—82no—
587D4×D59—82no—
588#11745685—41no—
589#11745685—41no—
590#11745685—41no—
591#11745685—41no—
592#11745685—44no—
593#11745685—44no—
594#11745685—82no—
595C2×D236—21no—
596C2×D236—22no—
597C2×D236—22no—
598C2×D236—21no—
599C2×D236—21no—
600C2×D236—21no—
601C2×D236—21no—
602C2×D236—21no—
603C2×D236—21no—
604C2×D236—21no—
605C2×D236—21no—
606C2×D236—21no—
607C2×D236—21no—
608C2×D236—41no—
609C2×D236—41no—
610C2×D236—44no—
611C2×D236—44no—
612C2×D236C2×D411yescharacteristic
613C2×D236C2×D411yescharacteristic
614C2×D236C2×D411yescharacteristic
615C2×D236C2411yescharacteristic
616C2×D236C2411yescharacteristic
617C2×D236C2411yescharacteristic
618C2×D236C2411yescharacteristic
619C2×C4×D59—21no—
620C2×C4×D59—21no—
621C2×C4×D59—21no—
622C2×C4×D59—21no—
623C2×C4×D59—21no—
624C2×C4×D59—21no—
625C2×C4×D59—21no—
626C2×C4×D59—21no—
627C2×C4×D59C2×D411yescharacteristic
628C2×C4×D59C2×D411yescharacteristic
629C2×C4×D59C2411yescharacteristic
630C2×C4×D59C2411yescharacteristic
631C2×C4×D59C2411yescharacteristic
632C2×Dic118—21no—
633C2×Dic118C2×D411yescharacteristic
634C2×Dic118C2×D411yescharacteristic
635Q16×C59—22no—
636SD16×C59—22no—
637SD16×C59—22no—
638SD16×C59—41no—
639SD16×C59—41no—
640D8×C59—41no—
641D8×C59—41no—
642D8×C59—41no—
643D8×C59—41no—
644M16×C59—41no—
645C2×C8×C59—41no—
646C2×C8×C59C2411yescharacteristic
647C2×C8×C59C2411yescharacteristic
648C2×C8×C59C2411yescharacteristic
649C2×C8×C59C2411yescharacteristic
650C4⋊C4×C59—21no—
651C4⋊C4×C59—21no—
652C4⋊C4×C59C2×D411yescharacteristic
653C4⋊C4×C59C2411yescharacteristic
654C4⋊C4×C59C2411yescharacteristic
655C22⋊C4×C59—21no—
656C22⋊C4×C59—21no—
657C22⋊C4×C59—21no—
658C22⋊C4×C59—21no—
659C22⋊C4×C59—21no—
660C22⋊C4×C59—21no—
661C22⋊C4×C59—21no—
662C22⋊C4×C59C2×D411yescharacteristic
663C22⋊C4×C59C2×D411yescharacteristic
664C42×C59—21no—
665C42×C59C2411yescharacteristic
666C22⋊Dic59—21no—
667C22⋊Dic59—21no—
668C22⋊Dic59—21no—
669C22⋊Dic59—21no—
670C22⋊Dic59—21no—
671C22⋊Dic59—21no—
672C22⋊Dic59—21no—
673C22⋊Dic59—21no—
674C22⋊Dic59—21no—
675C22⋊Dic59C2×D411yescharacteristic
676C22⋊Dic59C2×D411yescharacteristic
677#11745671—22no—
678#11745671—22no—
679#11745671—41no—
680#11745671—41no—
681#11745669—22no—
682#11745669—22no—
683#11745669—41no—
684#11745669—41no—
685#11745669—41no—
686#11745669—41no—
687#11745669—41no—
688#11745669—41no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700(C2×D59)⋊C4—21no—
701(C2×D59)⋊C4—21no—
702(C2×D59)⋊C4—21no—
703(C2×D59)⋊C4C2×D411yescharacteristic
704(C2×D59)⋊C4C2×D411yescharacteristic
705(C2×D59)⋊C4C2×D411yescharacteristic
706(C2×D59)⋊C4C2×D411yescharacteristic
707C4⋊Dic59—21no—
708C4⋊Dic59—21no—
709C4⋊Dic59—21no—
710C4⋊Dic59C2×D411yescharacteristic
711C4⋊Dic59C2411yescharacteristic
712C4⋊Dic59C2411yescharacteristic
713C4⋊Dic59C2411yescharacteristic
714C4⋊Dic59C2411yescharacteristic
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719Dic59⋊C4—21no—
720Dic59⋊C4—21no—
721Dic59⋊C4C2×D411yescharacteristic
722Dic59⋊C4C2×D411yescharacteristic
723C4×Dic59—21no—
724C4×Dic59—21no—
725C4×Dic59—21no—
726C4×Dic59—21no—
727C4×Dic59—21no—
728C4×Dic59C2×D411yescharacteristic
729C4×Dic59C2×D411yescharacteristic
730C4×Dic59C2411yescharacteristic
731#11745664—41no—
732C2×C59⋊C8—41no—
733C2×C59⋊C8C2411yescharacteristic
734C2×C59⋊C8C2411yescharacteristic
735C2×C59⋊C8C2411yescharacteristic
736C2×C59⋊C8C2411yescharacteristic
737D472—22no—
738D472—41no—
739D472—41no—
740#11745659—41no—
741#11745659—41no—
742C8×D59—41no—
743C8×D59—41no—
744C23×C59—21no—
745C23×C59—21no—
746C23×C59—21no—
747C23×C59—21no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59—81no—
751C23×C59C22×D411yescharacteristic
752C23×C59C22×D411yescharacteristic
753C22×D59—21no—
754C22×D59—21no—
755C22×D59—21no—
756C22×D59—21no—
757C22×D59—42no—
758C22×D59—42no—
759C22×D59—42no—
760C22×D59—42no—
761C22×D59—42no—
762C22×D59—42no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
767C22×D59—81no—
768C22×D59—81no—
769C22×D59—81no—
770C22×D59—81no—
771C22×D59—81no—
772C22×D59—81no—
773C22×D59—81no—
774C22×D59—81no—
775C22×D59—81no—
776C22×D59—81no—
777C22×D59—81no—
778C22×D59C22×D411yescharacteristic
779C22×D59C22×D411yescharacteristic
780C22×D59C22×D411yescharacteristic
781Q8×C59—21no—
782Q8×C59—21no—
783Q8×C59—21no—
784Q8×C59H(5,𝔽2)12yes—
785D4×C59—21no—
786D4×C59—21no—
787D4×C59—21no—
788D4×C59—21no—
789D4×C59—21no—
790D4×C59—21no—
791D4×C59—21no—
792D4×C59—21no—
793D4×C59—41no—
794D4×C59—42no—
795D4×C59—42no—
796D4×C59—42no—
797D4×C59—81no—
798D4×C59—81no—
799D4×C59—81no—
800D4×C59—81no—
801D4×C59—81no—
802D4×C59—81no—
803C2×C4×C59—21no—
804C2×C4×C59—21no—
805C2×C4×C59—21no—
806C2×C4×C59—21no—
807C2×C4×C59—21no—
808C2×C4×C59—21no—
809C2×C4×C59—21no—
810C2×C4×C59—21no—
811C2×C4×C59—42no—
812C2×C4×C59—42no—
813C2×C4×C59—81no—
814C2×C4×C59—81no—
815C2×C4×C59C22×D411yescharacteristic
816C2×C4×C59C22×D411yescharacteristic
817C2×C4×C59C22×D411yescharacteristic
818C2×C4×C59C22×D411yescharacteristic
819C2×C4×C59C2511yescharacteristic
820C22⋊D59—22no—
821C22⋊D59—22no—
822C22⋊D59—41no—
823C22⋊D59—41no—
824C22⋊D59—41no—
825C22⋊D59—41no—
826C22⋊D59—42no—
827C22⋊D59—42no—
828C22⋊D59—42no—
829C22⋊D59—42no—
830C22⋊D59—42no—
831C22⋊D59—42no—
832C22⋊D59—42no—
833C22⋊D59—81no—
834C22⋊D59—81no—
835C22⋊D59—81no—
836C22⋊D59—81no—
837C22⋊D59—81no—
838C22⋊D59—81no—
839C22⋊D59—81no—
840C22⋊D59—81no—
841C22⋊D59—81no—
842C22⋊D59—81no—
843C22⋊D59—81no—
844C22⋊D59—81no—
845C22⋊D59—81no—
846C22⋊D59—81no—
847C22⋊D59—81no—
848C2×Dic59—21no—
849C2×Dic59—21no—
850C2×Dic59—21no—
851C2×Dic59—21no—
852C2×Dic59—42no—
853C2×Dic59—81no—
854C2×Dic59C22×D411yescharacteristic
855C2×Dic59C22×D411yescharacteristic
856C2×Dic59C22×D411yescharacteristic
857C2×Dic59C22×D411yescharacteristic
858C2×Dic59C22×D411yescharacteristic
859D236—24no—
860D236—21no—
861D236—21no—
862D236—21no—
863D236—21no—
864D236—21no—
865D236—21no—
866D236—21no—
867D236—41no—
868D236—41no—
869D236—41no—
870D236—42no—
871D236—42no—
872D236—42no—
873D236—42no—
874D236—42no—
875D236—81no—
876D236—81no—
877D236—81no—
878D236—81no—
879D236—81no—
880D236H(5,𝔽2)12yes—
881C4×D59—24no—
882C4×D59—21no—
883C4×D59—21no—
884C4×D59—21no—
885C4×D59—21no—
886C4×D59—21no—
887C4×D59—21no—
888C4×D59—22no—
889C4×D59—41no—
890C4×D59—42no—
891C4×D59—42no—
892C4×D59—42no—
893C4×D59—42no—
894C4×D59—81no—
895C4×D59—81no—
896C4×D59—81no—
897Dic118—41no—
898Dic118—41no—
899Dic118—42no—
900C8×C59—21no—
901C8×C59—21no—
902C8×C59—21no—
903C8×C59—21no—
904C59⋊C8—21no—
905C59⋊C8—21no—
906C59⋊C8—21no—
907C59⋊C8—21no—
908#61688—591nomaximal, Sylow
909C22×C59—21no—
910C22×C59—21no—
911C22×C59—21no—
912C22×C59—21no—
913C22×C59—21no—
914C22×C59—21no—
915C22×C59—41no—
916C22×C59—41no—
917C22×C59—41no—
918C22×C59—41no—
919C22×C59—41no—
920C22×C59—41no—
921C22×C59—41no—
922C22×C59—41no—
923C22×C59—41no—
924C22×C59—41no—
925C22×C59—41no—
926C22×C59—41no—
927C22×C59—162no—
928C22×C59C23×D411yescharacteristic
929C2×D59—21no—
930C2×D59—21no—
931C2×D59—21no—
932C2×D59—21no—
933C2×D59—22no—
934C2×D59—21no—
935C2×D59—21no—
936C2×D59—21no—
937C2×D59—21no—
938C2×D59—21no—
939C2×D59—41no—
940C2×D59—41no—
941C2×D59—41no—
942C2×D59—41no—
943C2×D59—41no—
944C2×D59—41no—
945C2×D59—41no—
946C2×D59—41no—
947C2×D59—41no—
948C2×D59—41no—
949C2×D59—41no—
950C2×D59—162no—
951C2×D59—162no—
952C2×D59—162no—
953C2×D59—162no—
954C2×D59—162no—
955C2×D59—162no—
956C2×D59—162no—
957C4×C59—21no—
958C4×C59—21no—
959C4×C59—21no—
960C4×C59—22no—
961C4×C59—21no—
962C4×C59—41no—
963C4×C59—41no—
964C4×C59—41no—
965C4×C59C2×H(5,𝔽2)11yescharacteristic
966C4×C59C2×H(5,𝔽2)11yescharacteristic
967Dic59—21no—
968Dic59—21no—
969Dic59—21no—
970Dic59—21no—
971Dic59—41no—
972Dic59—41no—
973Dic59—41no—
974Dic59—41no—
975Dic59#57612yes—
976#3546—591no—
977#3498—591no—
978#3332—591no—
979#3324—591no—
980#3318—591no—
981#3318—591no—
982#3309—591no—
983#3309—591no—
984#3304—591no—
985#3294—591no—
986#3287—591no—
987D4×D8—591no—
988#3274—591no—
989#3274—591no—
990#3268—591no—
991#3268D5911yescharacteristic, complemented
992#3264—591no—
993#3264—591no—
994#3217—591no—
995#3205—591no—
996#3199—591no—
997#3199—591no—
998#3198—591no—
999#3198—591no—
1000#3115—591no—
1001#3102—591no—
1002#3012—591no—
1003#3012—591no—
1004#3008—591no—
1005#3008—591no—
1006#2981—591no—
1007C2×C59—41no—
1008C2×C59—41no—
1009C2×C59—81no—
1010C2×C59—81no—
1011C2×C59—81no—
1012C2×C59—81no—
1013C2×C59#348411yescharacteristic
1014C2×C59C2×#57611yescharacteristic
1015C2×C59#358511yescharacteristic
1016D59—41no—
1017D59—41no—
1018D59—41no—
1019D59—42no—
1020D59—81no—
1021D59—81no—
1022D59—81no—
1023C2×H(5,𝔽2)—591no—
1024C2×H(5,𝔽2)—591no—
1025C2×AGL(1,ℤ/8)—591no—
1026C2×AGL(1,ℤ/8)—591no—
1027C2×AGL(1,ℤ/8)—591no—
1028C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1029C2×#135—591no—
1030C2×#135C2×D5911yescharacteristic, complemented
1031C22×D8—591no—
1032C22×D8—591no—
1033#560—1181no—
1034#560—1181no—
1035#556—591no—
1036#553—591no—
1037#553—591no—
1038#550—591no—
1039#550—591no—
1040#550—591no—
1041#550—591no—
1042#550—1181no—
1043#550C2×D5911yescharacteristic, complemented
1044#547—591no—
1045#546—591no—
1046#546—1181no—
1047#546C2×D5911yescharacteristic, complemented
1048D42—591no—
1049D42—591no—
1050D42—591no—
1051D42—591no—
1052D42—591no—
1053D42—1181no—
1054D42—1181no—
1055D42—1181no—
1056D42—1181no—
1057#542—1181no—
1058#538—1181no—
1059#538—1181no—
1060#537—591no—
1061#537—591no—
1062#535—591no—
1063#535—591no—
1064#535—591no—
1065#535—591no—
1066#535—1181no—
1067#535—1181no—
1068#535—1181no—
1069#532—591no—
1070#532—591no—
1071#532—1181no—
1072C2×#127—591no—
1073C2×#127—1181no—
1074#529—591no—
1075C4×#41—591no—
1076#496—591no—
1077#496C2×D5911yescharacteristic, complemented
1078#493—591no—
1079#493—591no—
1080#490—591no—
1081#490—591no—
1082#486—591no—
1083#486—591no—
1084#485—591no—
1085#482—591no—
1086#482—591no—
1087#482—591no—
1088#482—591no—
1089#482—591no—
1090#482—591no—
1091#482—591no—
1092#481—591no—
1093#481—591no—
1094#480—591no—
1095#480—591no—
1096#479—591no—
1097#478—591no—
1098#475—591no—
1099#474—591no—
1100#469—591no—
1101#469—591no—
1102#469—591no—
1103#469—591no—
1104#469—591no—
1105#469—591no—
1106#468—591no—
1107#468C2×D5911yescharacteristic, complemented
1108#466—591no—
1109#466—591no—
1110#466—591no—
1111#466—591no—
1112#466—591no—
1113#466C2×D5911yescharacteristic, complemented
1114#465—591no—
1115#465—591no—
1116#464C2×D5911yescharacteristic, complemented
1117#463—591no—
1118#460—591no—
1119#460—591no—
1120#460—591no—
1121#459—591no—
1122#459—591no—
1123#459—591no—
1124#459—591no—
1125#459—591no—
1126#459—591no—
1127#459C2×D5911yescharacteristic, complemented
1128#452—591no—
1129#452—591no—
1130#452C2×D5911yescharacteristic, complemented
1131#450—591no—
1132#450—591no—
1133#450—591no—
1134#450—591no—
1135#449—591no—
1136#449—591no—
1137#449—591no—
1138#449—591no—
1139#449—591no—
1140#449—591no—
1141#449—591no—
1142#449—591no—
1143#449—591no—
1144#449—591no—
1145#449—591no—
1146#449C2×D5911yescharacteristic, complemented
1147#449C2×D5911yescharacteristic, complemented
1148#447—591no—
1149#447—591no—
1150#447—591no—
1151#447—591no—
1152#447—591no—
1153#447—591no—
1154#447—591no—
1155#447—591no—
1156#447—591no—
1157#447—591no—
1158#447—591no—
1159#447—591no—
1160#447—591no—
1161#447—591no—
1162#447—591no—
1163#447C2×D5911yescharacteristic, complemented
1164#442—591no—
1165#442—591no—
1166#440—591no—
1167#440C2×D5911yescharacteristic, complemented
1168C4×Q16—591no—
1169C4×SD16—591no—
1170C4×SD16—591no—
1171C4×D8—591no—
1172#436—591no—
1173#436—591no—
1174#435—591no—
1175#435—591no—
1176#435—591no—
1177#435C2×D5911yescharacteristic, complemented
1178C8×D4—591no—
1179C8×D4—591no—
1180#432—591no—
1181#431—591no—
1182#418—591no—
1183#418—591no—
1184#417—591no—
1185#417—591no—
1186#416—591no—
1187#416—591no—
1188C2×#102—591no—
1189C2×#102—591no—
1190#408—591no—
1191#408—591no—
1192#408—591no—
1193#408—591no—
1194C59#6168811yescharacteristic, complemented, Sylow
1195H(5,𝔽2)—2362no—
1196H(5,𝔽2)—2362no—
1197H(5,𝔽2)—2362no—
1198H(5,𝔽2)—2362no—
1199C2×#41—591no—
1200C2×#41—591no—
1201C2×#41—591no—
1202C2×#41—591no—
1203C2×#41—591no—
1204C2×#41—591no—
1205C2×#41—1181no—
1206C2×#41—1181no—
1207C2×#41—1181no—
1208C2×#41—1181no—
1209C2×#41C22×D5911yescharacteristic
1210C2×#41C22×D5911yescharacteristic
1211C2×#41C22×D5911yescharacteristic
1212C22×D4—591no—
1213C22×D4—591no—
1214C22×D4—591no—
1215C22×D4—591no—
1216C22×D4—591no—
1217C22×D4—591no—
1218C22×D4—591no—
1219C22×D4—1181no—
1220C22×D4—1181no—
1221C22×D4—1181no—
1222C22×D4—1181no—
1223C22×D4—1181no—
1224C22×D4—1181no—
1225C22×D4—1181no—
1226C22×D4—1181no—
1227C22×D4—1181no—
1228C22×D4—1181no—
1229C22×D4—1181no—
1230C22×D4—1181no—
1231C22×D4—1181no—
1232C22×D4C22×D5911yescharacteristic
1233AGL(1,ℤ/8)—42no—
1234AGL(1,ℤ/8)—2362no—
1235AGL(1,ℤ/8)—2362no—
1236AGL(1,ℤ/8)—2362no—
1237#135—42no—
1238#135—2362no—
1239C2×Q16C22×D5911yescharacteristic
1240C2×SD16—591no—
1241C2×SD16—591no—
1242C2×SD16—591no—
1243C2×SD16—591no—
1244C2×SD16C22×D5911yescharacteristic
1245C2×SD16C22×D5911yescharacteristic
1246C2×SD16C22×D5911yescharacteristic
1247C2×SD16C22×D5911yescharacteristic
1248C2×D8—591no—
1249C2×D8—591no—
1250C2×D8—591no—
1251C2×D8—591no—
1252C2×D8—591no—
1253C2×D8—591no—
1254C2×D8—591no—
1255C2×D8—591no—
1256C2×D8—591no—
1257C2×D8—591no—
1258C2×D8—591no—
1259C2×D8—2362no—
1260C2×D8—2362no—
1261C2×D8C22×D5911yescharacteristic
1262C2×D8C22×D5911yescharacteristic
1263C2×D8C22×D5911yescharacteristic
1264C2×D8C22×D5911yescharacteristic
1265C2×M16—591no—
1266C2×M16—591no—
1267C2×M16—591no—
1268C2×M16C22×D5911yescharacteristic
1269C22×C8—591no—
1270C22×C8—591no—
1271C22×C8—591no—
1272C22×C8C22×D5911yescharacteristic
1273C4⋊Q8—591no—
1274C4⋊Q8—591no—
1275#127—21no—
1276#127—591no—
1277#127—591no—
1278#127—591no—
1279#127—591no—
1280#127—591no—
1281#127—1181no—
1282#127—1181no—
1283#127—1181no—
1284#127—1181no—
1285#127—1181no—
1286#127—1181no—
1287#127—1181no—
1288#127—1181no—
1289#127—1181no—
1290#127—1181no—
1291#127C22×D5911yescharacteristic
1292#126—1181no—
1293#126—1181no—
1294#126—1181no—
1295#126—1181no—
1296#126—1181no—
1297#125—591no—
1298#124—591no—
1299#124—591no—
1300#124—1181no—
1301#124—1181no—
1302#124—1181no—
1303#124—1181no—
1304#124—1181no—
1305#124—1181no—
1306#124C22×D5911yescharacteristic
1307#123—21no—
1308#123—1181no—
1309#123—1181no—
1310#123—1181no—
1311#123—1181no—
1312#123—1181no—
1313#123—1181no—
1314C22⋊Q8—591no—
1315C22⋊Q8—591no—
1316C22⋊Q8—1181no—
1317C22⋊Q8—1181no—
1318C22⋊Q8—1181no—
1319C22⋊Q8C22×D5911yescharacteristic
1320#121—21no—
1321#121—21no—
1322#121—21no—
1323#121—591no—
1324#121—591no—
1325#121—591no—
1326#121—591no—
1327#121—591no—
1328#121—591no—
1329#121—591no—
1330#121—591no—
1331#121—591no—
1332#121—591no—
1333#121—591no—
1334#121—591no—
1335#121—591no—
1336#121—591no—
1337#121—591no—
1338#121—591no—
1339#121—591no—
1340#121—591no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121—1181no—
1347#121—1181no—
1348#121—1181no—
1349#121—1181no—
1350#121—1181no—
1351#121—1181no—
1352#121—1181no—
1353#121—1181no—
1354#121—1181no—
1355#121—1181no—
1356#121—1181no—
1357#121—1181no—
1358#121—1181no—
1359#121—1181no—
1360#121—1181no—
1361#121—1181no—
1362#121—1181no—
1363#121—1181no—
1364#121C22×D5911yescharacteristic
1365#121C22×D5911yescharacteristic
1366#121C22×D5911yescharacteristic
1367#120—21no—
1368#120—1181no—
1369#120—1181no—
1370#120—1181no—
1371#120—1181no—
1372#120—1181no—
1373#120—1181no—
1374#120—1181no—
1375#120—1181no—
1376#120—1181no—
1377#120—1181no—
1378#120—1181no—
1379#120—1181no—
1380#120—1181no—
1381#120—1181no—
1382#120—1181no—
1383#120—1181no—
1384#120—1181no—
1385#120—1181no—
1386#120—1181no—
1387C4×Q8—591no—
1388C4×Q8—591no—
1389C4×Q8—1181no—
1390C4×Q8C22×D5911yescharacteristic
1391C4×D4—21no—
1392C4×D4—591no—
1393C4×D4—591no—
1394C4×D4—591no—
1395C4×D4—591no—
1396C4×D4—591no—
1397C4×D4—591no—
1398C4×D4—591no—
1399C4×D4—1181no—
1400C4×D4—1181no—
1401C4×D4—1181no—
1402C4×D4—1181no—
1403C4×D4—1181no—
1404C4×D4—1181no—
1405C4×D4—1181no—
1406C4×D4—1181no—
1407C4×D4—1181no—
1408C4×D4—1181no—
1409C4×D4C22×D5911yescharacteristic
1410C4×D4C22×D5911yescharacteristic
1411#117—591no—
1412#117—591no—
1413#117—591no—
1414#117—1181no—
1415#117—1181no—
1416C2×C4⋊C4—591no—
1417C2×C4⋊C4—591no—
1418C2×C22⋊C4—21no—
1419C2×C22⋊C4—1181no—
1420C2×C42—591no—
1421C2×C42—1181no—
1422#107—591no—
1423#107—591no—
1424#107—591no—
1425#107C22×D5911yescharacteristic
1426#106—591no—
1427#106—591no—
1428#106—591no—
1429#106—591no—
1430C4⋊C8—591no—
1431C4⋊C8—591no—
1432C4⋊C8—591no—
1433C4⋊C8C22×D5911yescharacteristic
1434#103—591no—
1435#103—591no—
1436#103—591no—
1437#103—591no—
1438#103C22×D5911yescharacteristic
1439#103C22×D5911yescharacteristic
1440#102—591no—
1441#102—591no—
1442#102—591no—
1443#102—591no—
1444#102—591no—
1445#102—591no—
1446#102—591no—
1447#102—591no—
1448#102—591no—
1449#102—591no—
1450#102—591no—
1451#102—591no—
1452#102—591no—
1453#102—591no—
1454#102—591no—
1455#102—591no—
1456#102—591no—
1457#102—591no—
1458#102—591no—
1459#102—591no—
1460#102—591no—
1461#102—591no—
1462#102C22×D5911yescharacteristic
1463#102C22×D5911yescharacteristic
1464#102C22×D5911yescharacteristic
1465#102C22×D5911yescharacteristic
1466C22⋊C8—591no—
1467C22⋊C8—591no—
1468C22⋊C8—591no—
1469C22⋊C8—591no—
1470C22⋊C8—591no—
1471C22⋊C8—591no—
1472C22⋊C8—591no—
1473C22⋊C8—591no—
1474C22⋊C8—591no—
1475C22⋊C8—591no—
1476C22⋊C8C22×D5911yescharacteristic
1477C22⋊C8C22×D5911yescharacteristic
1478#97—591no—
1479#97C22×D5911yescharacteristic
1480C4×C8—591no—
1481C4×C8—591no—
1482C24—21no—
1483C24—1181no—
1484C24—1181no—
1485C24—1181no—
1486C24—1181no—
1487C24—1181no—
1488C24—1181no—
1489C24—1181no—
1490#41—22no—
1491#41—22no—
1492#41—41no—
1493#41—41no—
1494#41—41no—
1495#41—41no—
1496#41—1182no—
1497#41—1182no—
1498#41—1182no—
1499#41—1182no—
1500#41—4722no—
1501#41—4722no—
1502#41—2361no—
1503#41—2361no—
1504#41—2361no—
1505#41—2361no—
1506#41—2364no—
1507#41—2364no—
1508#41—2361no—
1509#41—2361no—
1510#41—2361no—
1511#41—2361no—
1512C2×Q8—591no—
1513C2×Q8—591no—
1514C2×Q8—1181no—
1515C2×Q8C23×D5911yescharacteristic
1516C2×Q8C23×D5911yescharacteristic
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—41no—
1527C2×D4—41no—
1528C2×D4—591no—
1529C2×D4—591no—
1530C2×D4—591no—
1531C2×D4—591no—
1532C2×D4—591no—
1533C2×D4—591no—
1534C2×D4—591no—
1535C2×D4—591no—
1536C2×D4—591no—
1537C2×D4—591no—
1538C2×D4—591no—
1539C2×D4—591no—
1540C2×D4—591no—
1541C2×D4—1182no—
1542C2×D4—1182no—
1543C2×D4—1181no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—1181no—
1547C2×D4—1181no—
1548C2×D4—1181no—
1549C2×D4—1181no—
1550C2×D4—1181no—
1551C2×D4—1181no—
1552C2×D4—1181no—
1553C2×D4—1181no—
1554C2×D4—1181no—
1555C2×D4—1181no—
1556C2×D4—1181no—
1557C2×D4—1181no—
1558C2×D4—1181no—
1559C2×D4—1181no—
1560C2×D4—1181no—
1561C2×D4—1182no—
1562C2×D4—1182no—
1563C2×D4—1181no—
1564C2×D4—1181no—
1565C2×D4—1181no—
1566C2×D4—1181no—
1567C2×D4—1181no—
1568C2×D4—1181no—
1569C2×D4—1181no—
1570C2×D4—1181no—
1571C2×D4—1181no—
1572C2×D4—1181no—
1573C2×D4—1181no—
1574C2×D4—1181no—
1575C2×D4—1181no—
1576C2×D4—1181no—
1577C2×D4—1181no—
1578C2×D4—4722no—
1579C2×D4—4722no—
1580C2×D4—4722no—
1581C2×D4—4722no—
1582C2×D4—4722no—
1583C2×D4—4722no—
1584C2×D4—4722no—
1585C2×D4—2361no—
1586C2×D4—2361no—
1587C2×D4—2364no—
1588C2×D4—2364no—
1589C2×D4—2361no—
1590C2×D4—2361no—
1591C2×D4—2361no—
1592C2×D4—2361no—
1593C2×D4—2361no—
1594C2×D4—2361no—
1595C2×D4—2361no—
1596C2×D4—2361no—
1597C2×D4—2364no—
1598C2×D4—2364no—
1599C2×D4—2364no—
1600C2×D4—2364no—
1601C2×D4D4×D5911yescharacteristic
1602C2×D4C23×D5911yescharacteristic
1603C2×D4C23×D5911yescharacteristic
1604C2×D4C23×D5911yescharacteristic
1605C2×D4C23×D5911yescharacteristic
1606C22×C4—21no—
1607C22×C4—21no—
1608C22×C4—21no—
1609C22×C4—21no—
1610C22×C4—591no—
1611C22×C4—591no—
1612C22×C4—591no—
1613C22×C4—591no—
1614C22×C4—591no—
1615C22×C4—1181no—
1616C22×C4—1181no—
1617C22×C4—1181no—
1618C22×C4—1181no—
1619C22×C4—1181no—
1620C22×C4—1181no—
1621C22×C4—1181no—
1622C22×C4—1181no—
1623C22×C4—1181no—
1624C22×C4—1181no—
1625C22×C4C23×D5911yescharacteristic
1626C22×C4C23×D5911yescharacteristic
1627Q16—22no—
1628SD16—22no—
1629SD16—22no—
1630SD16—41no—
1631SD16—41no—
1632SD16—1182no—
1633SD16—1182no—
1634SD16—2361no—
1635SD16—2361no—
1636D8—41no—
1637D8—41no—
1638D8—41no—
1639D8—41no—
1640D8—1182no—
1641D8—1182no—
1642D8—1182no—
1643D8—2361no—
1644D8—2361no—
1645D8—2361no—
1646D8—2361no—
1647D8—2361no—
1648D8—2361no—
1649D8—2361no—
1650D8—2361no—
1651M16—41no—
1652M16—2361no—
1653M16—2361no—
1654M16—2361no—
1655C2×C8—41no—
1656C2×C8—591no—
1657C2×C8—591no—
1658C2×C8—591no—
1659C2×C8—591no—
1660C2×C8—2361no—
1661C2×C8—2361no—
1662C2×C8—2361no—
1663C2×C8C23×D5911yescharacteristic
1664C2×C8C23×D5911yescharacteristic
1665C2×C8C23×D5911yescharacteristic
1666C2×C8C23×D5911yescharacteristic
1667C4⋊C4—21no—
1668C4⋊C4—21no—
1669C4⋊C4—591no—
1670C4⋊C4—591no—
1671C4⋊C4—591no—
1672C4⋊C4—591no—
1673C4⋊C4—591no—
1674C4⋊C4—591no—
1675C4⋊C4—591no—
1676C4⋊C4—1181no—
1677C4⋊C4—1181no—
1678C4⋊C4—1181no—
1679C4⋊C4—1181no—
1680C4⋊C4—1181no—
1681C4⋊C4—1181no—
1682C4⋊C4—1181no—
1683C4⋊C4—1181no—
1684C4⋊C4—1181no—
1685C4⋊C4D4×D5911yescharacteristic
1686C4⋊C4C23×D5911yescharacteristic
1687C4⋊C4C23×D5911yescharacteristic
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—591no—
1696C22⋊C4—591no—
1697C22⋊C4—591no—
1698C22⋊C4—591no—
1699C22⋊C4—591no—
1700C22⋊C4—591no—
1701C22⋊C4—1181no—
1702C22⋊C4—1181no—
1703C22⋊C4—1181no—
1704C22⋊C4—1181no—
1705C22⋊C4—1181no—
1706C22⋊C4—1181no—
1707C22⋊C4—1181no—
1708C22⋊C4—1181no—
1709C22⋊C4—1181no—
1710C22⋊C4—1181no—
1711C22⋊C4—1181no—
1712C22⋊C4—1181no—
1713C22⋊C4—1181no—
1714C22⋊C4—1181no—
1715C22⋊C4—1181no—
1716C22⋊C4—1181no—
1717C22⋊C4—1181no—
1718C22⋊C4—1181no—
1719C22⋊C4—1181no—
1720C22⋊C4—1181no—
1721C22⋊C4—1181no—
1722C22⋊C4—1181no—
1723C22⋊C4—1181no—
1724C22⋊C4D4×D5911yescharacteristic
1725C22⋊C4D4×D5911yescharacteristic
1726C42—21no—
1727C42—591no—
1728C42—591no—
1729C42—591no—
1730C42—1181no—
1731C42—1181no—
1732C42—1181no—
1733C42—1181no—
1734C42—1181no—
1735C42C23×D5911yescharacteristic
1736C23—21no—
1737C23—21no—
1738C23—21no—
1739C23—21no—
1740C23—81no—
1741C23—81no—
1742C23—81no—
1743C23—591no—
1744C23—591no—
1745C23—591no—
1746C23—1181no—
1747C23—1181no—
1748C23—1181no—
1749C23—1181no—
1750C23—4721no—
1751C23—4721no—
1752C23—4721no—
1753C23—4721no—
1754C23—4721no—
1755C23—4721no—
1756C23—4721no—
1757C23—4721no—
1758C23—4721no—
1759C23—4721no—
1760C23—4721no—
1761C23—4721no—
1762C23—4721no—
1763C23—4721no—
1764C23—4721no—
1765C23—2362no—
1766C23—2362no—
1767C23—2362no—
1768C23—2362no—
1769C23—2362no—
1770C23—2362no—
1771C23C2×D4×D5911yescharacteristic
1772C23C2×D4×D5911yescharacteristic
1773Q8—21no—
1774Q8—21no—
1775Q8—21no—
1776Q8—2361no—
1777Q8—2361no—
1778Q8—2362no—
1779Q8#1427377212yes—
1780D4—21no—
1781D4—21no—
1782D4—21no—
1783D4—21no—
1784D4—21no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—41no—
1789D4—42no—
1790D4—42no—
1791D4—42no—
1792D4—81no—
1793D4—81no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—592no—
1799D4—1184no—
1800D4—1182no—
1801D4—1182no—
1802D4—1181no—
1803D4—1181no—
1804D4—1181no—
1805D4—1181no—
1806D4—1181no—
1807D4—1181no—
1808D4—1181no—
1809D4—4721no—
1810D4—4721no—
1811D4—4721no—
1812D4—4721no—
1813D4—4721no—
1814D4—4721no—
1815D4—4721no—
1816D4—4721no—
1817D4—4721no—
1818D4—4721no—
1819D4—4721no—
1820D4—4721no—
1821D4—4721no—
1822D4—4721no—
1823D4—4721no—
1824D4—4721no—
1825D4—4721no—
1826D4—4721no—
1827D4—4721no—
1828D4—4721no—
1829D4—2361no—
1830D4—2361no—
1831D4—2361no—
1832D4—2362no—
1833D4—2362no—
1834D4—2362no—
1835D4—2362no—
1836D4—2362no—
1837D4—2362no—
1838D4—2362no—
1839D4—2362no—
1840D4—2361no—
1841D4—2361no—
1842D4—2361no—
1843D4—2361no—
1844D4—2362no—
1845D4—2362no—
1846D4—2362no—
1847D4—2362no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—42no—
1857C2×C4—42no—
1858C2×C4—81no—
1859C2×C4—81no—
1860C2×C4—591no—
1861C2×C4—591no—
1862C2×C4—591no—
1863C2×C4—591no—
1864C2×C4—591no—
1865C2×C4—1182no—
1866C2×C4—1184no—
1867C2×C4—1181no—
1868C2×C4—1181no—
1869C2×C4—1181no—
1870C2×C4—1181no—
1871C2×C4—1181no—
1872C2×C4—1181no—
1873C2×C4—1181no—
1874C2×C4—1181no—
1875C2×C4—1181no—
1876C2×C4—1181no—
1877C2×C4—4721no—
1878C2×C4—4721no—
1879C2×C4—4721no—
1880C2×C4—4721no—
1881C2×C4—2361no—
1882C2×C4—2362no—
1883C2×C4—2362no—
1884C2×C4—2362no—
1885C2×C4—2362no—
1886C2×C4—2362no—
1887C2×C4C2×D4×D5911yescharacteristic
1888C2×C4C2×D4×D5911yescharacteristic
1889C2×C4C2×D4×D5911yescharacteristic
1890C2×C4C2×D4×D5911yescharacteristic
1891C2×C4C24×D5911yescharacteristic
1892C8—21no—
1893C8—21no—
1894C8—21no—
1895C8—21no—
1896C8—1181no—
1897C8—1181no—
1898C8—1181no—
1899C8—1181no—
1900C22—21no—
1901C22—21no—
1902C22—21no—
1903C22—21no—
1904C22—21no—
1905C22—21no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—162no—
1919C22—1182no—
1920C22—1181no—
1921C22—1181no—
1922C22—1181no—
1923C22—1181no—
1924C22—1181no—
1925C22—1181no—
1926C22—1181no—
1927C22—1181no—
1928C22—1181no—
1929C22—9442no—
1930C22—9442no—
1931C22—9442no—
1932C22—9442no—
1933C22—9442no—
1934C22—9442no—
1935C22—9442no—
1936C22—2361no—
1937C22—2361no—
1938C22—2361no—
1939C22—2361no—
1940C22—2361no—
1941C22—2361no—
1942C22—2361no—
1943C22—2361no—
1944C22—2361no—
1945C22—2361no—
1946C22—2361no—
1947C22C22×D4×D5911yescharacteristic
1948C4—21no—
1949C4—21no—
1950C4—22no—
1951C4—21no—
1952C4—21no—
1953C4—41no—
1954C4—41no—
1955C4—41no—
1956C4—592no—
1957C4—1181no—
1958C4—1181no—
1959C4—1181no—
1960C4—1181no—
1961C4—2361no—
1962C4—2361no—
1963C4—2361no—
1964C4—2361no—
1965C4H(5,𝔽2)×D5911yescharacteristic
1966C4C2×#1427377211yescharacteristic
1967C2—41no—
1968C2—41no—
1969C2—81no—
1970C2—81no—
1971C2—81no—
1972C2—81no—
1973C2—4721no—
1974C2—4721no—
1975C2—4721no—
1976C2—2361no—
1977C2—2361no—
1978C2—2361no—
1979C2—2362no—
1980C2#2143772411yescharacteristic
1981C2#576×D5911yescharacteristic
1982C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3268C2
socleC22×C59C23×D4
hypercenter#3268D59
hypocenterC59#61688
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. #21438460C2semidirect
2. #21437873C2semidirect
3. #21436416C2semidirect
4. #21436322C2semidirect
5. #21436244C2semidirect
6. #21436239C2semidirect
7. #21436107C2semidirect
8. #21436102C2semidirect
9. #21436028C2semidirect
10. #21435904C2semidirect
11. #21435850C2semidirect
12. #21435766C2semidirect
13. #21435710C2semidirect
14. #21435709C2semidirect
15. #21435631C2semidirect
16. #21435577C2semidirect
17. #21435575C2semidirect
18. #21435110C2semidirect
19. #21435013C2semidirect
20. #21434959C2semidirect
21. #21434956C2semidirect
22. #21434949C2semidirect
23. #21434947C2semidirect
24. #21434245C2semidirect
25. #21434113C2semidirect
26. #21433404C2semidirect
27. #21433396C2semidirect
28. #21433363C2semidirect
29. #21433361C2semidirect
30. #21433168C2semidirect
31. C59×#3268C2semidirect
32. C2×#14273773C22semidirect
33. C2×#14273773C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273752C22semidirect
37. C2×#14273750C22semidirect
38. C22×#11745669C22semidirect
39. C2×D8×D59C22semidirect
42. #16838123C22semidirect
43. #16838102C22semidirect
44. #16838098C22semidirect
45. #16838074C22semidirect
47. #16838071C22semidirect
48. #16838071C22semidirect
50. #16838052C22semidirect
51. #16838045C22semidirect
54. D4×D236C22semidirect
56. #16838037C22semidirect
60. #16838036C22semidirect
61. D4×C22⋊D59C22semidirect
65. #16837982C22semidirect
66. #16837980C22semidirect
67. #16837969C22semidirect
70. #16837968C22semidirect
71. #16837968C22semidirect
72. #16837968C22semidirect
76. #16837949C22semidirect
78. #127×D59C22semidirect
79. #16837931C22semidirect
80. C4×#11745689C22semidirect
81. #16837792C22semidirect
82. #16837777C22semidirect
83. #16837777C22semidirect
84. #16837767C22semidirect
85. #16837766C22semidirect
86. #16837747C22semidirect
87. #16837747C22semidirect
88. #16837741C22semidirect
89. #16837729C22semidirect
90. #16837729C22semidirect
91. #16837727C22semidirect
92. #16837725C22semidirect
93. #16837724C22semidirect
94. #16837724C22semidirect
95. #16837723C22semidirect
96. #16837721C22semidirect
97. #16837719C22semidirect
98. #16837717C22semidirect
99. #16837713C22semidirect
100. #16837709C22semidirect
101. #16837703C22semidirect
102. #16837685C22semidirect
103. #16837681C22semidirect
104. #16837655C22semidirect
105. #16837654C22semidirect
106. #16837653C22semidirect
107. #16837653C22semidirect
108. #16837652C22semidirect
109. #16837652C22semidirect
110. #16837651C22semidirect
111. #16837638C22semidirect
112. #16837637C22semidirect
113. #16837637C22semidirect
114. #16837636C22semidirect
115. #16837635C22semidirect
116. #16837633C22semidirect
117. #16837628C22semidirect
118. #16837614C22semidirect
119. #16837600C22semidirect
120. #16837600C22semidirect
121. #16837600C22semidirect
122. #16837598C22semidirect
123. #16837597C22semidirect
124. #16837596C22semidirect
125. #16837595C22semidirect
126. #16837595C22semidirect
127. #16837594C22semidirect
128. #16837563C22semidirect
129. #16837563C22semidirect
130. #16837552C22semidirect
131. #16837551C22semidirect
132. #16837551C22semidirect
133. #16837551C22semidirect
134. #16837550C22semidirect
135. #16837550C22semidirect
136. #16837547C22semidirect
137. #16837547C22semidirect
138. #16837547C22semidirect
140. #16837546C22semidirect
141. #16837546C22semidirect
142. #16837546C22semidirect
143. #16837546C22semidirect
144. #16837546C22semidirect
145. #16837538C22semidirect
146. #16837538C22semidirect
147. #16837537C22semidirect
148. #16837537C22semidirect
149. #16837537C22semidirect
150. #16837536C22semidirect
151. #16837535C22semidirect
152. #16837534C22semidirect
153. #16837534C22semidirect
154. #16837534C22semidirect
155. #16837534C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837515C22semidirect
161. #16837512C22semidirect
162. #16837500C22semidirect
163. Q16×Dic59C22semidirect
164. SD16×Dic59C22semidirect
165. #16837487C22semidirect
166. #16837482C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837475C22semidirect
170. #16837474C22semidirect
171. #16837472C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837454C22semidirect
176. #16837408C22semidirect
177. #16837405C22semidirect
178. #16837403C22semidirect
179. #16837402C22semidirect
180. #16837398C22semidirect
181. #16837397C22semidirect
182. C2×#14273649C22semidirect
183. #102×D59C22semidirect
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
991. #3268D59semidirect
1028. C2×AGL(1,ℤ/8)C2×D59semidirect
1030. C2×#135C2×D59semidirect
1043. #550C2×D59semidirect
1047. #546C2×D59semidirect
1077. #496C2×D59semidirect
1107. #468C2×D59semidirect
1113. #466C2×D59semidirect
1116. #464C2×D59semidirect
1127. #459C2×D59semidirect
1130. #452C2×D59semidirect
1146. #449C2×D59semidirect
1147. #449C2×D59semidirect
1163. #447C2×D59semidirect
1167. #440C2×D59semidirect
1177. #435C2×D59semidirect
1194. C59#61688semidirect

Maximal subgroups

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

subgroupindex
#214384602
#214378732
#214364162
#214363222
#214362442
#214362392
#214361072
#214361022
#214360282
#214359042
#214358502
#214357662
#214357102
#214357092
#214356312
#214355772
#214355752
#214351102
#214350132
#214349592
#214349562
#214349492
#214349472
#214342452
#214341132
#214334042
#214333962
#214333632
#214333612
#214331682
C59×#32682
#6168859