Finite Group Databasebeta

← #29475726

Subgroups — #29475726

Order 15104.

2224 conjugacy classes of subgroups.

The subgroup lattice has 1986 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438499C211yesmaximal, characteristic, complemented
2#21437855C211yesmaximal, characteristic, complemented
3#21436334C211yesmaximal, characteristic, complemented
4#21436331C211yesmaximal, characteristic, complemented
5#21436256C211yesmaximal, characteristic, complemented
6#21436253C211yesmaximal, characteristic, complemented
7#21436248C211yesmaximal, characteristic, complemented
8#21436245C211yesmaximal, characteristic, complemented
9#21436020C211yesmaximal, characteristic, complemented
10#21436017C211yesmaximal, characteristic, complemented
11D8×C22⋊D59C211yesmaximal, characteristic, complemented
12#21435766C211yesmaximal, characteristic, complemented
13#21435690C211yesmaximal, characteristic, complemented
14#21435689C211yesmaximal, characteristic, complemented
15#21435579C211yesmaximal, characteristic, complemented
16#21435576C211yesmaximal, characteristic, complemented
17#21435570C211yesmaximal, characteristic, complemented
18#21435569C211yesmaximal, characteristic, complemented
19#21435088C211yesmaximal, characteristic, complemented
20#21435027C211yesmaximal, characteristic, complemented
21#21434950C211yesmaximal, characteristic, complemented
22#21434948C211yesmaximal, characteristic, complemented
23#21434947C211yesmaximal, characteristic, complemented
24#21434945C211yesmaximal, characteristic, complemented
25#21434182C211yesmaximal, characteristic, complemented
26#21434091C211yesmaximal, characteristic, complemented
27#21433364C211yesmaximal, characteristic, complemented
28#21433359C211yesmaximal, characteristic, complemented
29#21433359C211yesmaximal, characteristic, complemented
30#21433169C211yesmaximal, characteristic, complemented
31C59×#3008C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic, complemented
33C2×#14273752C2211yescharacteristic, complemented
34C2×#14273751C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic, complemented
36C22×#11745669C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic, complemented
38C2×D8×D59C2211yescharacteristic, complemented
39#16838145—21no—
40#16838144—21no—
41#16838116C2211yescharacteristic, complemented
42#16838116C2211yescharacteristic, complemented
43#16838115C2211yescharacteristic, complemented
44#16838115C2211yescharacteristic, complemented
45#16838114—21no—
46#16838051—21no—
47#16838051C2211yescharacteristic, complemented
48#16838051C2211yescharacteristic, complemented
49#16838046—21no—
50#16838046C2211yescharacteristic, complemented
51#16838046C2211yescharacteristic, complemented
52#16838040—21no—
53#16838040C2211yescharacteristic, complemented
54#16838040C2211yescharacteristic, complemented
55#16838036C2211yescharacteristic, complemented
56#16838036C2211yescharacteristic, complemented
57D4×C22⋊D59—21no—
58D4×C22⋊D59C2211yescharacteristic, complemented
59D4×C22⋊D59C2211yescharacteristic, complemented
60D4×C22⋊D59C2211yescharacteristic, complemented
61D4×C22⋊D59C2211yescharacteristic, complemented
62#16838034—21no—
63#16837980C2211yescharacteristic, complemented
64#16837980C2211yescharacteristic, complemented
65#16837968C2211yescharacteristic, complemented
66#16837968C2211yescharacteristic, complemented
67#16837967—21no—
68#16837967—21no—
69#16837966C2211yescharacteristic, complemented
70#16837965—21no—
71#16837965—21no—
72#16837961—21no—
73#16837961—21no—
74#16837948C2211yescharacteristic
75#16837948C2211yescharacteristic, complemented
76#16837947C2211yescharacteristic, complemented
77#16837947C2211yescharacteristic, complemented
78C2×#14273699—21no—
79C2×#14273699—21no—
80C2×D4×Dic59C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837777C2211yescharacteristic, complemented
84#16837773C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837743C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837741C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837726C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837724C2211yescharacteristic, complemented
97#16837721C2211yescharacteristic, complemented
98#16837718C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837713C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837690C2211yescharacteristic, complemented
103#16837680C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837655C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837653C2211yescharacteristic, complemented
108#16837652C2211yescharacteristic, complemented
109#16837651C2211yescharacteristic, complemented
110#16837648C2211yescharacteristic, complemented
111#16837646C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837638C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic, complemented
116#16837635C2211yescharacteristic, complemented
117#16837634C2211yescharacteristic, complemented
118#16837631C2211yescharacteristic, complemented
119#16837629C2211yescharacteristic, complemented
120#16837628C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837616C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837606C2211yescharacteristic, complemented
126#16837605C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic, complemented
129#16837595C2211yescharacteristic, complemented
130#16837595C2211yescharacteristic, complemented
131#16837595C2211yescharacteristic, complemented
132#16837595C2211yescharacteristic, complemented
133#16837555C2211yescharacteristic, complemented
134#16837553C2211yescharacteristic, complemented
135#16837551C2211yescharacteristic, complemented
136#16837551C2211yescharacteristic, complemented
137#16837549C2211yescharacteristic, complemented
138#16837549C2211yescharacteristic, complemented
139#16837548C2211yescharacteristic, complemented
140#16837548C2211yescharacteristic, complemented
141#16837547C2211yescharacteristic, complemented
142#16837547C2211yescharacteristic, complemented
143#16837547C2211yescharacteristic, complemented
144#16837547C2211yescharacteristic, complemented
145#16837545C2211yescharacteristic, complemented
146#16837545C2211yescharacteristic, complemented
147#16837544C2211yescharacteristic, complemented
148#16837544C2211yescharacteristic, complemented
149#16837538C2211yescharacteristic, complemented
150#16837537C2211yescharacteristic, complemented
151#16837537C2211yescharacteristic, complemented
152#16837536C2211yescharacteristic, complemented
153#16837536C2211yescharacteristic, complemented
154#16837536C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic, complemented
156#16837536C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837514C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic, complemented
164#16837511C2211yescharacteristic, complemented
165D8×Dic59C2211yescharacteristic, complemented
166D8×Dic59C2211yescharacteristic, complemented
167#16837482C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837473C2211yescharacteristic, complemented
173#16837471C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175C8×C22⋊D59C2211yescharacteristic, complemented
176(C22⋊D59)⋊C8C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837452C2211yescharacteristic, complemented
179#16837407C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837405C2211yescharacteristic, complemented
182#16837398C2211yescharacteristic, complemented
183#16837395C2211yescharacteristic, complemented
184#16837395C2211yescharacteristic, complemented
185#16837369C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C59C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
190C22×D8×C59C2211yescharacteristic, complemented
191C59×#535C2211yescharacteristic, complemented
192C59×#449C2211yescharacteristic, complemented
193C59×#449C2211yescharacteristic, complemented
194C59×#449C2211yescharacteristic, complemented
195C59×#449C2211yescharacteristic, complemented
196C59×#447C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic, complemented
200C59×#418C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203#14273772—42no—
204#14273772—42no—
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687C2311yescharacteristic
211C2×#11745687C2311yescharacteristic
212C22×D236C2311yescharacteristic
213C22×C22⋊D59—21no—
214C22×C22⋊D59—21no—
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C22×C22⋊D59—21no—
218C22×C22⋊D59—21no—
219C2×D4×D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59C2311yescharacteristic
223C2×D4×D59C2311yescharacteristic
224C2×D4×D59C2311yescharacteristic
225C2×D4×D59C2311yescharacteristic
226C23×Dic59—21no—
227#14273752—42no—
228#14273751—42no—
229#14273751—42no—
230C2×#11745660C2311yescharacteristic
231C2×#11745660C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745670C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×#11745669—42no—
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745669C2311yescharacteristic
245C2×#11745669C2311yescharacteristic
246C2×#11745669C2311yescharacteristic
247D8×D59—42no—
248D8×D59—42no—
249C2×#11745664C2311yescharacteristic
250C2×#11745659C2311yescharacteristic
251C2×#11745659C2311yescharacteristic
252C22×C59⋊C8C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254C2×C8×D59C2311yescharacteristic
255#14273726C2311yescharacteristic
256#14273726C2311yescharacteristic
257#14273725D411yescharacteristic
258#14273725C2311yescharacteristic
259#14273723—21no—
260#14273723—21no—
261#14273723—21no—
262#14273723D411yescharacteristic
263#14273723C2311yescharacteristic
264#14273723C2311yescharacteristic
265#14273723C2311yescharacteristic
266#14273716—21no—
267#14273716D411yescharacteristic
268#14273716C2311yescharacteristic
269#14273715—21no—
270#14273715—21no—
271#14273714—21no—
272#14273714—21no—
273#14273714D411yescharacteristic
274#14273714C2311yescharacteristic
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273710—21no—
284#14273710—21no—
285#14273710—21no—
286#14273710—21no—
287#14273708—21no—
288#14273708—21no—
289#14273708—21no—
290#14273708—21no—
291#14273706—21no—
292#14273706C2311yescharacteristic
293#14273706C2311yescharacteristic
294#14273703—21no—
295#14273703C2311yescharacteristic
296#14273703C2311yescharacteristic
297#14273702C2311yescharacteristic
298#14273702C2311yescharacteristic
299#14273701—21no—
300#14273701C2311yescharacteristic
301#14273701C2311yescharacteristic
302#14273701C2311yescharacteristic
303#14273701C2311yescharacteristic
304#14273701C2311yescharacteristic
305#14273701C2311yescharacteristic
306#14273700—21no—
307#14273700—21no—
308#14273700—21no—
309#14273700—21no—
310#14273699—21no—
311#14273699—21no—
312#14273699—21no—
313#14273699—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699D411yescharacteristic
331#14273699D411yescharacteristic
332#14273699D411yescharacteristic
333#14273699D411yescharacteristic
334#14273698—21no—
335#14273698C2311yescharacteristic
336#14273698C2311yescharacteristic
337#14273698C2311yescharacteristic
338#14273698C2311yescharacteristic
339#14273697—21no—
340#14273697—21no—
341#14273697—21no—
342#14273697—21no—
343#14273696—21no—
344#14273696—21no—
345#14273696—21no—
346#14273696—21no—
347#14273696—21no—
348#14273696—21no—
349#14273695—21no—
350#14273695—21no—
351#14273695—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—
360#14273695—21no—
361D4×Dic59—21no—
362D4×Dic59—21no—
363D4×Dic59C2311yescharacteristic
364D4×Dic59C2311yescharacteristic
365D4×Dic59C2311yescharacteristic
366D4×Dic59C2311yescharacteristic
367D4×Dic59C2311yescharacteristic
368D4×Dic59C2311yescharacteristic
369#14273689C2311yescharacteristic
370#14273689C2311yescharacteristic
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59C2311yescharacteristic
374C4×C22⋊D59C2311yescharacteristic
375C4×C22⋊D59C2311yescharacteristic
376C4×C22⋊D59C2311yescharacteristic
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379#14273686C2311yescharacteristic
380#14273685C2311yescharacteristic
381#14273685C2311yescharacteristic
382#14273684—21no—
383#14273684—21no—
384#14273683—21no—
385#14273683—21no—
386C2×C4⋊Dic59C2311yescharacteristic
387C2×Dic59⋊C4—21no—
388C2×Dic59⋊C4—21no—
389C2×C22⋊Dic59—21no—
390C2×C22⋊Dic59—21no—
391C2×C22⋊Dic59—21no—
392C2×(C2×D59)⋊C4—21no—
393C2×(C2×D59)⋊C4—21no—
394C2×C4×Dic59C2311yescharacteristic
395#14273661C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439#14273637C2311yescharacteristic
440#14273637C2311yescharacteristic
441C8×Dic59C2311yescharacteristic
442C8×Dic59C2311yescharacteristic
443H(5,𝔽2)×C59—42no—
444H(5,𝔽2)×C59—42no—
445C2×#41×C59—21no—
446C2×#41×C59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C2×#41×C59C2311yescharacteristic
450C22×D4×C59—21no—
451C22×D4×C59—21no—
452C22×D4×C59—21no—
453C22×D4×C59C2311yescharacteristic
454C22×D4×C59C2311yescharacteristic
455C22×D4×C59C2311yescharacteristic
456C22×D4×C59C2311yescharacteristic
457AGL(1,ℤ/8)×C59—42no—
458C2×SD16×C59C2311yescharacteristic
459C2×SD16×C59C2311yescharacteristic
460C2×D8×C59—42no—
461C2×D8×C59C2311yescharacteristic
462C2×D8×C59C2311yescharacteristic
463C2×D8×C59C2311yescharacteristic
464C2×D8×C59C2311yescharacteristic
465C2×D8×C59C2311yescharacteristic
466C2×D8×C59C2311yescharacteristic
467C2×M16×C59C2311yescharacteristic
468C22×C8×C59C2311yescharacteristic
469#127×C59—21no—
470#124×C59—21no—
471#121×C59C2311yescharacteristic
472#121×C59C2311yescharacteristic
473#121×C59C2311yescharacteristic
474#121×C59C2311yescharacteristic
475#120×C59—21no—
476#120×C59—21no—
477#117×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C24×C59—21no—
493C24×C59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59—21no—
498C23×D59—21no—
499#41×C59—22no—
500#41×C59—22no—
501#41×C59—41no—
502#41×C59—41no—
503#41×C59—41no—
504#41×C59—41no—
505#41×C59—41no—
506#41×C59—41no—
507#41×C59—44no—
508C2×Q8×C59C2×D411yescharacteristic
509C2×Q8×C59C2411yescharacteristic
510C2×D4×C59—22no—
511C2×D4×C59—22no—
512C2×D4×C59—22no—
513C2×D4×C59—22no—
514C2×D4×C59—21no—
515C2×D4×C59—21no—
516C2×D4×C59—21no—
517C2×D4×C59—21no—
518C2×D4×C59—21no—
519C2×D4×C59—21no—
520C2×D4×C59—21no—
521C2×D4×C59—21no—
522C2×D4×C59—21no—
523C2×D4×C59—21no—
524C2×D4×C59—21no—
525C2×D4×C59—41no—
526C2×D4×C59—41no—
527C2×D4×C59—41no—
528C2×D4×C59—41no—
529C2×D4×C59—44no—
530C2×D4×C59—44no—
531C2×D4×C59—44no—
532C2×D4×C59C2×D411yescharacteristic
533C2×D4×C59C2×D411yescharacteristic
534C2×D4×C59C2×D411yescharacteristic
535C2×D4×C59C2411yescharacteristic
536C2×D4×C59C2411yescharacteristic
537C2×D4×C59C2411yescharacteristic
538C2×D4×C59C2411yescharacteristic
539C2×D4×C59C2411yescharacteristic
540C22×C4×C59—21no—
541C22×C4×C59—21no—
542C22×C4×C59—21no—
543C22×C4×C59C2411yescharacteristic
544C22×C4×C59C2411yescharacteristic
545C22×C4×C59C2411yescharacteristic
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—21no—
553C2×C22⋊D59—21no—
554C2×C22⋊D59—21no—
555C2×C22⋊D59—21no—
556C2×C22⋊D59—21no—
557C2×C22⋊D59—21no—
558C2×C22⋊D59—21no—
559C2×C22⋊D59—21no—
560C2×C22⋊D59—21no—
561C2×C22⋊D59—21no—
562C2×C22⋊D59—21no—
563C2×C22⋊D59—21no—
564C2×C22⋊D59—21no—
565C2×C22⋊D59—21no—
566C2×C22⋊D59—21no—
567C2×C22⋊D59—21no—
568C2×C22⋊D59—21no—
569C2×C22⋊D59—44no—
570C2×C22⋊D59—44no—
571C2×C22⋊D59—82no—
572C2×C22⋊D59—82no—
573C2×C22⋊D59—82no—
574C2×C22⋊D59—82no—
575C2×C22⋊D59C2×D411yescharacteristic
576C2×C22⋊D59C2×D411yescharacteristic
577C2×C22⋊D59C2×D411yescharacteristic
578C2×C22⋊D59C2×D411yescharacteristic
579C2×C22⋊D59C2×D411yescharacteristic
580C2×C22⋊D59C2×D411yescharacteristic
581C22×Dic59—21no—
582C22×Dic59—21no—
583C22×Dic59—21no—
584C22×Dic59—21no—
585C22×Dic59—21no—
586C22×Dic59—21no—
587C22×Dic59—21no—
588C22×Dic59—21no—
589C22×Dic59—21no—
590C22×Dic59—82no—
591C22×Dic59C2×D411yescharacteristic
592C22×Dic59C2×D411yescharacteristic
593#11745687—22no—
594#11745687—22no—
595#11745687—41no—
596#11745687—41no—
597#11745687—44no—
598#11745687—82no—
599#11745687—82no—
600D4×D59—22no—
601D4×D59—22no—
602D4×D59—41no—
603D4×D59—41no—
604D4×D59—41no—
605D4×D59—41no—
606D4×D59—41no—
607D4×D59—41no—
608D4×D59—44no—
609D4×D59—82no—
610D4×D59—82no—
611#11745685—41no—
612#11745685—41no—
613#11745685—41no—
614#11745685—41no—
615C2×D236—21no—
616C2×D236—21no—
617C2×D236—21no—
618C2×D236—41no—
619C2×D236—41no—
620C2×D236C2×D411yescharacteristic
621C2×D236C2411yescharacteristic
622C2×D236C2411yescharacteristic
623C2×D236C2411yescharacteristic
624C2×C4×D59—21no—
625C2×C4×D59—21no—
626C2×C4×D59—21no—
627C2×C4×D59C2411yescharacteristic
628C2×C4×D59C2411yescharacteristic
629C2×Dic118—21no—
630C2×Dic118—21no—
631C2×Dic118C2×D411yescharacteristic
632C2×Dic118C2411yescharacteristic
633SD16×C59—41no—
634SD16×C59—41no—
635D8×C59—22no—
636D8×C59—22no—
637D8×C59—22no—
638D8×C59—22no—
639D8×C59—41no—
640D8×C59—41no—
641M16×C59—41no—
642C2×C8×C59—41no—
643C2×C8×C59C2411yescharacteristic
644C2×C8×C59C2411yescharacteristic
645C2×C8×C59C2411yescharacteristic
646C2×C8×C59C2411yescharacteristic
647C4⋊C4×C59C2411yescharacteristic
648C4⋊C4×C59C2411yescharacteristic
649C22⋊C4×C59—21no—
650C22⋊C4×C59—21no—
651C22⋊C4×C59—21no—
652C22⋊C4×C59—21no—
653C22⋊C4×C59—21no—
654C42×C59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59—21no—
662C22⋊Dic59—21no—
663C22⋊Dic59—21no—
664C22⋊Dic59—21no—
665C22⋊Dic59—21no—
666C22⋊Dic59—21no—
667C22⋊Dic59—21no—
668C22⋊Dic59—21no—
669C22⋊Dic59—21no—
670C22⋊Dic59C2×D411yescharacteristic
671C22⋊Dic59C2×D411yescharacteristic
672C22⋊Dic59C2×D411yescharacteristic
673C22⋊Dic59C2×D411yescharacteristic
674#11745671—41no—
675#11745671—41no—
676#11745670—41no—
677#11745670—41no—
678#11745669—22no—
679#11745669—22no—
680#11745669—22no—
681#11745669—22no—
682#11745669—41no—
683#11745669—41no—
684#11745669—41no—
685#11745669—41no—
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)⋊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)⋊C4C2×D411yescharacteristic
703(C2×D59)⋊C4C2×D411yescharacteristic
704(C2×D59)⋊C4C2×D411yescharacteristic
705(C2×D59)⋊C4C2×D411yescharacteristic
706C4⋊Dic59—21no—
707C4⋊Dic59C2411yescharacteristic
708C4⋊Dic59C2411yescharacteristic
709C4⋊Dic59C2411yescharacteristic
710C4⋊Dic59C2411yescharacteristic
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719Dic59⋊C4C2×D411yescharacteristic
720Dic59⋊C4C2×D411yescharacteristic
721Dic59⋊C4C2×D411yescharacteristic
722Dic59⋊C4C2×D411yescharacteristic
723C4×Dic59—21no—
724C4×Dic59—21no—
725C4×Dic59—21no—
726C4×Dic59C2×D411yescharacteristic
727C4×Dic59C2×D411yescharacteristic
728C4×Dic59C2411yescharacteristic
729C4×Dic59C2411yescharacteristic
730#11745664—41no—
731C2×C59⋊C8—41no—
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734C2×C59⋊C8C2411yescharacteristic
735C2×C59⋊C8C2411yescharacteristic
736D472—41no—
737D472—41no—
738#11745660—41no—
739#11745660—41no—
740#11745659—41no—
741#11745659—41no—
742C8×D59—41no—
743C8×D59—41no—
744C23×C59—24no—
745C23×C59—21no—
746C23×C59—21no—
747C23×C59—21no—
748C23×C59—21no—
749C23×C59—21no—
750C23×C59—42no—
751C23×C59—42no—
752C23×C59—81no—
753C23×C59—81no—
754C23×C59—81no—
755C23×C59—81no—
756C23×C59—81no—
757C23×C59—81no—
758C23×C59—81no—
759C23×C59—81no—
760C23×C59—81no—
761C23×C59C22×D411yescharacteristic
762C23×C59C22×D411yescharacteristic
763C23×C59C22×D411yescharacteristic
764C22×D59—21no—
765C22×D59—21no—
766C22×D59—21no—
767C22×D59—42no—
768C22×D59—42no—
769C22×D59—81no—
770C22×D59—81no—
771C22×D59—81no—
772C22×D59—81no—
773C22×D59—81no—
774C22×D59—81no—
775C22×D59—81no—
776C22×D59—81no—
777C22×D59—81no—
778C22×D59—81no—
779C22×D59—81no—
780C22×D59—81no—
781C22×D59—81no—
782C22×D59C22×D411yescharacteristic
783C22×D59C22×D411yescharacteristic
784Q8×C59—21no—
785Q8×C59—21no—
786Q8×C59—41no—
787D4×C59—24no—
788D4×C59—21no—
789D4×C59—21no—
790D4×C59—21no—
791D4×C59—21no—
792D4×C59—21no—
793D4×C59—21no—
794D4×C59—21no—
795D4×C59—21no—
796D4×C59—41no—
797D4×C59—41no—
798D4×C59—41no—
799D4×C59—42no—
800D4×C59—42no—
801D4×C59—42no—
802D4×C59—42no—
803D4×C59—42no—
804D4×C59—81no—
805D4×C59—81no—
806D4×C59—81no—
807D4×C59—81no—
808D4×C59—81no—
809D4×C59H(5,𝔽2)12yes—
810D4×C59H(5,𝔽2)12yes—
811C2×C4×C59—21no—
812C2×C4×C59—21no—
813C2×C4×C59—21no—
814C2×C4×C59—21no—
815C2×C4×C59—21no—
816C2×C4×C59—21no—
817C2×C4×C59—21no—
818C2×C4×C59—21no—
819C2×C4×C59—21no—
820C2×C4×C59—42no—
821C2×C4×C59—42no—
822C2×C4×C59—42no—
823C2×C4×C59C22×D411yescharacteristic
824C2×C4×C59C22×D411yescharacteristic
825C2×C4×C59C22×D411yescharacteristic
826C2×C4×C59C2511yescharacteristic
827C22⋊D59—22no—
828C22⋊D59—22no—
829C22⋊D59—41no—
830C22⋊D59—41no—
831C22⋊D59—41no—
832C22⋊D59—41no—
833C22⋊D59—42no—
834C22⋊D59—42no—
835C22⋊D59—42no—
836C22⋊D59—42no—
837C22⋊D59—42no—
838C22⋊D59—42no—
839C22⋊D59—42no—
840C22⋊D59—42no—
841C22⋊D59—81no—
842C22⋊D59—81no—
843C22⋊D59—81no—
844C22⋊D59—81no—
845C22⋊D59—81no—
846C22⋊D59—81no—
847C22⋊D59—81no—
848C22⋊D59—81no—
849C22⋊D59—81no—
850C22⋊D59—81no—
851C22⋊D59—81no—
852C22⋊D59—81no—
853C22⋊D59—81no—
854C22⋊D59—81no—
855C22⋊D59—81no—
856C2×Dic59—22no—
857C2×Dic59—21no—
858C2×Dic59—21no—
859C2×Dic59—21no—
860C2×Dic59—21no—
861C2×Dic59—21no—
862C2×Dic59—41no—
863C2×Dic59—42no—
864C2×Dic59—42no—
865C2×Dic59—42no—
866C2×Dic59—42no—
867C2×Dic59—42no—
868C2×Dic59—42no—
869C2×Dic59—81no—
870C2×Dic59—81no—
871C2×Dic59—81no—
872C2×Dic59C22×D411yescharacteristic
873C2×Dic59C22×D411yescharacteristic
874C2×Dic59C22×D411yescharacteristic
875C2×Dic59C22×D411yescharacteristic
876C2×Dic59C22×D411yescharacteristic
877C2×Dic59C22×D411yescharacteristic
878D236—21no—
879D236—21no—
880D236—21no—
881D236—21no—
882D236—21no—
883D236—21no—
884D236—41no—
885D236—81no—
886D236—81no—
887D236—81no—
888C4×D59—21no—
889C4×D59—21no—
890C4×D59—21no—
891C4×D59—21no—
892C4×D59—42no—
893C4×D59—42no—
894C4×D59—42no—
895Dic118—21no—
896Dic118—21no—
897Dic118—41no—
898Dic118—81no—
899Dic118—81no—
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#61679—591nomaximal, Sylow
909C22×C59—21no—
910C22×C59—21no—
911C22×C59—21no—
912C22×C59—22no—
913C22×C59—22no—
914C22×C59—21no—
915C22×C59—21no—
916C22×C59—21no—
917C22×C59—21no—
918C22×C59—21no—
919C22×C59—21no—
920C22×C59—41no—
921C22×C59—41no—
922C22×C59—41no—
923C22×C59—41no—
924C22×C59—41no—
925C22×C59—41no—
926C22×C59—41no—
927C22×C59—41no—
928C22×C59—41no—
929C22×C59—41no—
930C22×C59—41no—
931C22×C59—41no—
932C22×C59—41no—
933C22×C59—84no—
934C22×C59—162no—
935C22×C59—162no—
936C22×C59—162no—
937C22×C59C23×D411yescharacteristic
938C2×D59—21no—
939C2×D59—21no—
940C2×D59—21no—
941C2×D59—21no—
942C2×D59—21no—
943C2×D59—21no—
944C2×D59—41no—
945C2×D59—41no—
946C2×D59—41no—
947C2×D59—41no—
948C2×D59—41no—
949C2×D59—41no—
950C2×D59—41no—
951C2×D59—41no—
952C2×D59—41no—
953C2×D59—162no—
954C2×D59—162no—
955C2×D59—162no—
956C2×D59—162no—
957C2×D59—162no—
958C4×C59—21no—
959C4×C59—21no—
960C4×C59—21no—
961C4×C59—41no—
962C4×C59—41no—
963C4×C59—41no—
964C4×C59C2×H(5,𝔽2)11yescharacteristic
965C4×C59C2×H(5,𝔽2)11yescharacteristic
966Dic59—21no—
967Dic59—21no—
968Dic59—21no—
969Dic59—21no—
970Dic59—21no—
971Dic59—41no—
972Dic59—41no—
973Dic59—41no—
974Dic59—41no—
975Dic59—41no—
976Dic59#57612yes—
977#3549—591no—
978#3496—591no—
979#3325—591no—
980#3325—591no—
981#3319—591no—
982#3319—591no—
983#3319—591no—
984#3319—591no—
985#3303—591no—
986#3303—591no—
987D4×D8—591no—
988D4×D8—591no—
989#3272—591no—
990#3272—591no—
991#3264—591no—
992#3264—591no—
993#3264—591no—
994#3264—591no—
995#3214—591no—
996#3207—591no—
997#3198—591no—
998#3198—591no—
999#3198—591no—
1000#3198—591no—
1001#3109—591no—
1002#3100—591no—
1003#3008—591no—
1004#3008—591no—
1005#3008—591no—
1006#3008D5911yescharacteristic, complemented
1007#2981—591no—
1008C2×C59—41no—
1009C2×C59—42no—
1010C2×C59—42no—
1011C2×C59—41no—
1012C2×C59—41no—
1013C2×C59—81no—
1014C2×C59—81no—
1015C2×C59—81no—
1016C2×C59#348411yescharacteristic
1017C2×C59C2×#57611yescharacteristic
1018C2×C59#358511yescharacteristic
1019D59—41no—
1020D59—41no—
1021D59—81no—
1022D59—81no—
1023D59—81no—
1024C2×H(5,𝔽2)—591no—
1025C2×H(5,𝔽2)C2×D5911yescharacteristic, complemented
1026C2×AGL(1,ℤ/8)—591no—
1027C2×AGL(1,ℤ/8)—591no—
1028C2×AGL(1,ℤ/8)—591no—
1029C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1030C22×D8—591no—
1031C22×D8—591no—
1032C22×D8—591no—
1033C22×D8C2×D5911yescharacteristic, complemented
1034H(3,𝔽4)—1181no—
1035H(3,𝔽4)—1181no—
1036#555—591no—
1037#555—591no—
1038#555—591no—
1039#555—591no—
1040#555—1181no—
1041#547—591no—
1042#547—591no—
1043#547—1181no—
1044#546—591no—
1045#546—591no—
1046#546—591no—
1047#546—591no—
1048#546—1181no—
1049#546—1181no—
1050D42—591no—
1051D42—591no—
1052D42—591no—
1053D42—591no—
1054D42—591no—
1055D42—591no—
1056D42—1181no—
1057D42—1181no—
1058#537—591no—
1059#537—591no—
1060#535—591no—
1061#535—591no—
1062#535—591no—
1063#535—1181no—
1064#535—1181no—
1065#535—1181no—
1066#535—1181no—
1067#535C2×D5911yescharacteristic, complemented
1068#534—1181no—
1069#534—1181no—
1070#532—591no—
1071#532—591no—
1072#532—591no—
1073#532—591no—
1074C2×#121—1181no—
1075C2×#121—1181no—
1076C2×C4×D4—591no—
1077#496—591no—
1078#496—591no—
1079#493—591no—
1080#492—591no—
1081#489—591no—
1082#489—591no—
1083#487—591no—
1084#486—591no—
1085#485—591no—
1086#485—591no—
1087#485—591no—
1088#485—591no—
1089#482—591no—
1090#482—591no—
1091#482—591no—
1092#482—591no—
1093#481—591no—
1094#481—591no—
1095#480—591no—
1096#480—591no—
1097#476—591no—
1098#476—591no—
1099#474—591no—
1100#474—591no—
1101#469—591no—
1102#469—591no—
1103#469—591no—
1104#469—591no—
1105#468—591no—
1106#468—591no—
1107#468—591no—
1108#468—591no—
1109#466—591no—
1110#466—591no—
1111#466—591no—
1112#466—591no—
1113#465—591no—
1114#465—591no—
1115#465—591no—
1116#465—591no—
1117#463—591no—
1118#463—591no—
1119#463—591no—
1120#463—591no—
1121#461—591no—
1122#461—591no—
1123#459—591no—
1124#459—591no—
1125#459—591no—
1126#459—591no—
1127#459—591no—
1128#459—591no—
1129#450—591no—
1130#450—591no—
1131#450—591no—
1132#450—591no—
1133#449—591no—
1134#449—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#449C2×D5911yescharacteristic, complemented
1146#449C2×D5911yescharacteristic, complemented
1147#449C2×D5911yescharacteristic, complemented
1148#449C2×D5911yescharacteristic, complemented
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#447C2×D5911yescharacteristic, complemented
1162#447C2×D5911yescharacteristic, complemented
1163#447C2×D5911yescharacteristic, complemented
1164#447C2×D5911yescharacteristic, complemented
1165#442—591no—
1166#442—591no—
1167#442—591no—
1168#442—591no—
1169C4×D8—591no—
1170C4×D8—591no—
1171C4×D8—591no—
1172C4×D8—591no—
1173#436—591no—
1174#436—591no—
1175#435—591no—
1176#435—591no—
1177#435—591no—
1178#435—591no—
1179C8×D4—591no—
1180C8×D4—591no—
1181#432—591no—
1182#431—591no—
1183#418—591no—
1184#418—591no—
1185#418—591no—
1186#418C2×D5911yescharacteristic, complemented
1187#416—591no—
1188#416—591no—
1189#416—591no—
1190#416C2×D5911yescharacteristic, complemented
1191#408—591no—
1192#408—591no—
1193#408—591no—
1194#408C2×D5911yescharacteristic, complemented
1195C59#6167911yescharacteristic, complemented, Sylow
1196H(5,𝔽2)—42no—
1197H(5,𝔽2)—42no—
1198H(5,𝔽2)—2362no—
1199H(5,𝔽2)—2362no—
1200C2×#41—21no—
1201C2×#41—591no—
1202C2×#41—591no—
1203C2×#41—591no—
1204C2×#41—591no—
1205C2×#41—1181no—
1206C2×#41—1181no—
1207C2×#41—1181no—
1208C2×#41C22×D5911yescharacteristic
1209C2×#41C22×D5911yescharacteristic
1210C2×#41C22×D5911yescharacteristic
1211C2×#41C22×D5911yescharacteristic
1212C22×D4—21no—
1213C22×D4—21no—
1214C22×D4—21no—
1215C22×D4—591no—
1216C22×D4—591no—
1217C22×D4—591no—
1218C22×D4—591no—
1219C22×D4—591no—
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×D4C22×D5911yescharacteristic
1230C22×D4C22×D5911yescharacteristic
1231C22×D4C22×D5911yescharacteristic
1232C22×D4C22×D5911yescharacteristic
1233C23×C4—1181no—
1234AGL(1,ℤ/8)—42no—
1235AGL(1,ℤ/8)—2362no—
1236AGL(1,ℤ/8)—2362no—
1237AGL(1,ℤ/8)—2362no—
1238C2×SD16—591no—
1239C2×SD16—591no—
1240C2×SD16—591no—
1241C2×SD16—591no—
1242C2×SD16—591no—
1243C2×SD16—591no—
1244C2×SD16C22×D5911yescharacteristic
1245C2×SD16C22×D5911yescharacteristic
1246C2×D8—42no—
1247C2×D8—591no—
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—2362no—
1258C2×D8—2362no—
1259C2×D8—2362no—
1260C2×D8C22×D5911yescharacteristic
1261C2×D8C22×D5911yescharacteristic
1262C2×D8C22×D5911yescharacteristic
1263C2×D8C22×D5911yescharacteristic
1264C2×D8C22×D5911yescharacteristic
1265C2×D8C22×D5911yescharacteristic
1266C2×M16—591no—
1267C2×M16—591no—
1268C2×M16—591no—
1269C2×M16C22×D5911yescharacteristic
1270C22×C8—591no—
1271C22×C8—591no—
1272C22×C8—591no—
1273C22×C8C22×D5911yescharacteristic
1274C4⋊Q8—591no—
1275C4⋊Q8—591no—
1276C4⋊Q8—591no—
1277C4⋊Q8—591no—
1278#127—21no—
1279#127—591no—
1280#127—591no—
1281#127—591no—
1282#127—591no—
1283#127—1181no—
1284#127—1181no—
1285#127—1181no—
1286#124—21no—
1287#124—591no—
1288#124—591no—
1289#124—591no—
1290#124—591no—
1291#124—1181no—
1292#124—1181no—
1293#124—1181no—
1294#124—1181no—
1295#124—1181no—
1296#124—1181no—
1297#124—1181no—
1298#124—1181no—
1299#124—1181no—
1300#124—1181no—
1301#124—1181no—
1302#124—1181no—
1303#124—1181no—
1304#123—1181no—
1305#123—1181no—
1306#123—1181no—
1307#123—1181no—
1308#123—1181no—
1309#123—1181no—
1310#123—1181no—
1311#123—1181no—
1312C22⋊Q8—591no—
1313C22⋊Q8—591no—
1314C22⋊Q8—591no—
1315C22⋊Q8—591no—
1316C22⋊Q8—1181no—
1317C22⋊Q8—1181no—
1318#121—591no—
1319#121—591no—
1320#121—591no—
1321#121—591no—
1322#121—591no—
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—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
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#121C22×D5911yescharacteristic
1361#121C22×D5911yescharacteristic
1362#121C22×D5911yescharacteristic
1363#121C22×D5911yescharacteristic
1364#120—21no—
1365#120—21no—
1366#120—1181no—
1367#120—1181no—
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—
1387#120—1181no—
1388C4×D4—591no—
1389C4×D4—591no—
1390C4×D4—591no—
1391C4×D4—591no—
1392C4×D4—591no—
1393C4×D4—591no—
1394C4×D4—591no—
1395C4×D4—591no—
1396C4×D4—591no—
1397C4×D4—591no—
1398C4×D4—591no—
1399C4×D4—591no—
1400C4×D4—1181no—
1401C4×D4—1181no—
1402C4×D4—1181no—
1403C4×D4—1181no—
1404C4×D4—1181no—
1405C4×D4—1181no—
1406#117—591no—
1407#117—591no—
1408#117—591no—
1409#117—1181no—
1410#117—1181no—
1411#117—1181no—
1412#117—1181no—
1413#117C22×D5911yescharacteristic
1414C2×C4⋊C4—591no—
1415C2×C4⋊C4—1181no—
1416C2×C4⋊C4—1181no—
1417C2×C22⋊C4—1181no—
1418C2×C22⋊C4—1181no—
1419C2×C22⋊C4—1181no—
1420C2×C22⋊C4—1181no—
1421C2×C22⋊C4—1181no—
1422C2×C42—591no—
1423#107—591no—
1424#107—591no—
1425#107—591no—
1426#107—591no—
1427#106—591no—
1428#106—591no—
1429#106—591no—
1430#106—591no—
1431C4⋊C8—591no—
1432C4⋊C8—591no—
1433C4⋊C8—591no—
1434C4⋊C8—591no—
1435#103—591no—
1436#103—591no—
1437#103—591no—
1438#103—591no—
1439#103—591no—
1440#103—591no—
1441#103C22×D5911yescharacteristic
1442#103C22×D5911yescharacteristic
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#102C22×D5911yescharacteristic
1462#102C22×D5911yescharacteristic
1463#102C22×D5911yescharacteristic
1464#102C22×D5911yescharacteristic
1465#102C22×D5911yescharacteristic
1466#102C22×D5911yescharacteristic
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⋊C8C22×D5911yescharacteristic
1476C22⋊C8C22×D5911yescharacteristic
1477C22⋊C8C22×D5911yescharacteristic
1478C22⋊C8C22×D5911yescharacteristic
1479#97—591no—
1480#97—591no—
1481C4×C8—591no—
1482C4×C8—591no—
1483C24—21no—
1484C24—21no—
1485C24—21no—
1486C24—21no—
1487C24—1181no—
1488C24—1181no—
1489C24—1181no—
1490C24—1181no—
1491C24—1181no—
1492#41—22no—
1493#41—22no—
1494#41—41no—
1495#41—41no—
1496#41—41no—
1497#41—41no—
1498#41—41no—
1499#41—41no—
1500#41—44no—
1501#41—1182no—
1502#41—1182no—
1503#41—4722no—
1504#41—4722no—
1505#41—2361no—
1506#41—2361no—
1507#41—2361no—
1508#41—2361no—
1509#41—2361no—
1510#41—2361no—
1511#41—2364no—
1512C2×Q8—591no—
1513C2×Q8—591no—
1514C2×Q8—1181no—
1515C2×Q8—1181no—
1516C2×Q8D4×D5911yescharacteristic
1517C2×Q8C23×D5911yescharacteristic
1518C2×D4—22no—
1519C2×D4—22no—
1520C2×D4—22no—
1521C2×D4—22no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—41no—
1534C2×D4—41no—
1535C2×D4—41no—
1536C2×D4—41no—
1537C2×D4—44no—
1538C2×D4—44no—
1539C2×D4—44no—
1540C2×D4—591no—
1541C2×D4—591no—
1542C2×D4—591no—
1543C2×D4—591no—
1544C2×D4—591no—
1545C2×D4—591no—
1546C2×D4—591no—
1547C2×D4—591no—
1548C2×D4—591no—
1549C2×D4—591no—
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—1181no—
1562C2×D4—1182no—
1563C2×D4—1182no—
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—2361no—
1585C2×D4—2361no—
1586C2×D4—2361no—
1587C2×D4—2361no—
1588C2×D4—2361no—
1589C2×D4—2361no—
1590C2×D4—2361no—
1591C2×D4—2361no—
1592C2×D4—2364no—
1593C2×D4—2364no—
1594C2×D4—2364no—
1595C2×D4D4×D5911yescharacteristic
1596C2×D4D4×D5911yescharacteristic
1597C2×D4D4×D5911yescharacteristic
1598C2×D4C23×D5911yescharacteristic
1599C2×D4C23×D5911yescharacteristic
1600C2×D4C23×D5911yescharacteristic
1601C2×D4C23×D5911yescharacteristic
1602C2×D4C23×D5911yescharacteristic
1603C22×C4—21no—
1604C22×C4—21no—
1605C22×C4—21no—
1606C22×C4—591no—
1607C22×C4—591no—
1608C22×C4—591no—
1609C22×C4—591no—
1610C22×C4—1181no—
1611C22×C4—1181no—
1612C22×C4—1181no—
1613C22×C4—1181no—
1614C22×C4—1181no—
1615C22×C4—1181no—
1616C22×C4—1181no—
1617C22×C4—1181no—
1618C22×C4—1181no—
1619C22×C4—1181no—
1620C22×C4—1181no—
1621C22×C4—1181no—
1622C22×C4—4722no—
1623C22×C4C23×D5911yescharacteristic
1624C22×C4C23×D5911yescharacteristic
1625C22×C4C23×D5911yescharacteristic
1626SD16—41no—
1627SD16—41no—
1628SD16—2361no—
1629SD16—2361no—
1630SD16—2361no—
1631SD16—2361no—
1632SD16—2361no—
1633SD16—2361no—
1634D8—22no—
1635D8—22no—
1636D8—22no—
1637D8—22no—
1638D8—41no—
1639D8—41no—
1640D8—1182no—
1641D8—1182no—
1642D8—1182no—
1643D8—1182no—
1644D8—2361no—
1645D8—2361no—
1646D8—2361no—
1647D8—2361no—
1648D8—2361no—
1649D8—2361no—
1650M16—41no—
1651M16—2361no—
1652M16—2361no—
1653M16—2361no—
1654C2×C8—41no—
1655C2×C8—591no—
1656C2×C8—591no—
1657C2×C8—591no—
1658C2×C8—591no—
1659C2×C8—2361no—
1660C2×C8—2361no—
1661C2×C8—2361no—
1662C2×C8C23×D5911yescharacteristic
1663C2×C8C23×D5911yescharacteristic
1664C2×C8C23×D5911yescharacteristic
1665C2×C8C23×D5911yescharacteristic
1666C4⋊C4—591no—
1667C4⋊C4—591no—
1668C4⋊C4—591no—
1669C4⋊C4—591no—
1670C4⋊C4—591no—
1671C4⋊C4—591no—
1672C4⋊C4—591no—
1673C4⋊C4—591no—
1674C4⋊C4—1181no—
1675C4⋊C4—1181no—
1676C4⋊C4—1181no—
1677C4⋊C4—1181no—
1678C4⋊C4—1181no—
1679C4⋊C4—1181no—
1680C4⋊C4—1181no—
1681C4⋊C4—1181no—
1682C4⋊C4—1181no—
1683C4⋊C4C23×D5911yescharacteristic
1684C4⋊C4C23×D5911yescharacteristic
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—591no—
1691C22⋊C4—591no—
1692C22⋊C4—591no—
1693C22⋊C4—591no—
1694C22⋊C4—591no—
1695C22⋊C4—591no—
1696C22⋊C4—591no—
1697C22⋊C4—591no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4—1181no—
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⋊C4—1181no—
1725C22⋊C4—1181no—
1726C22⋊C4—1181no—
1727C22⋊C4—1181no—
1728C22⋊C4—1181no—
1729C42—21no—
1730C42—591no—
1731C42—591no—
1732C42—591no—
1733C42—591no—
1734C42—1181no—
1735C42—1181no—
1736C42—1181no—
1737C23—24no—
1738C23—21no—
1739C23—21no—
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—42no—
1744C23—42no—
1745C23—81no—
1746C23—81no—
1747C23—81no—
1748C23—81no—
1749C23—81no—
1750C23—81no—
1751C23—81no—
1752C23—81no—
1753C23—81no—
1754C23—591no—
1755C23—591no—
1756C23—1181no—
1757C23—1181no—
1758C23—1181no—
1759C23—4721no—
1760C23—4721no—
1761C23—4721no—
1762C23—4721no—
1763C23—4721no—
1764C23—4721no—
1765C23—4721no—
1766C23—4721no—
1767C23—4721no—
1768C23—4721no—
1769C23—4721no—
1770C23—4721no—
1771C23—4721no—
1772C23—2362no—
1773C23—2362no—
1774C23C2×D4×D5911yescharacteristic
1775C23C2×D4×D5911yescharacteristic
1776C23C2×D4×D5911yescharacteristic
1777Q8—21no—
1778Q8—21no—
1779Q8—41no—
1780Q8—1181no—
1781Q8—1181no—
1782Q8—4721no—
1783Q8—4721no—
1784Q8—2361no—
1785D4—24no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—21no—
1792D4—21no—
1793D4—21no—
1794D4—41no—
1795D4—41no—
1796D4—41no—
1797D4—42no—
1798D4—42no—
1799D4—42no—
1800D4—42no—
1801D4—42no—
1802D4—81no—
1803D4—81no—
1804D4—81no—
1805D4—81no—
1806D4—81no—
1807D4—1182no—
1808D4—1182no—
1809D4—1181no—
1810D4—1181no—
1811D4—1181no—
1812D4—1181no—
1813D4—1181no—
1814D4—1181no—
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—4721no—
1830D4—4721no—
1831D4—4721no—
1832D4—4721no—
1833D4—2361no—
1834D4—2362no—
1835D4—2362no—
1836D4—2361no—
1837D4—2361no—
1838D4—2361no—
1839D4—2361no—
1840D4—2362no—
1841D4—2362no—
1842D4—2362no—
1843D4—2362no—
1844D4—2362no—
1845D4—2362no—
1846D4#1427377212yes—
1847D4#1427377212yes—
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—21no—
1857C2×C4—42no—
1858C2×C4—42no—
1859C2×C4—42no—
1860C2×C4—591no—
1861C2×C4—591no—
1862C2×C4—591no—
1863C2×C4—591no—
1864C2×C4—591no—
1865C2×C4—591no—
1866C2×C4—1182no—
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—4721no—
1877C2×C4—4721no—
1878C2×C4—4721no—
1879C2×C4—2362no—
1880C2×C4—2362no—
1881C2×C4—2362no—
1882C2×C4—2362no—
1883C2×C4—2362no—
1884C2×C4—2362no—
1885C2×C4—2361no—
1886C2×C4—2362no—
1887C2×C4—2362no—
1888C2×C4—2362no—
1889C2×C4C2×D4×D5911yescharacteristic
1890C2×C4C2×D4×D5911yescharacteristic
1891C2×C4C2×D4×D5911yescharacteristic
1892C2×C4C24×D5911yescharacteristic
1893C8—21no—
1894C8—21no—
1895C8—21no—
1896C8—21no—
1897C8—1181no—
1898C8—1181no—
1899C8—1181no—
1900C8—1181no—
1901C22—21no—
1902C22—21no—
1903C22—21no—
1904C22—22no—
1905C22—22no—
1906C22—21no—
1907C22—21no—
1908C22—21no—
1909C22—21no—
1910C22—21no—
1911C22—21no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—84no—
1926C22—162no—
1927C22—162no—
1928C22—162no—
1929C22—1181no—
1930C22—1181no—
1931C22—1181no—
1932C22—1181no—
1933C22—1181no—
1934C22—1181no—
1935C22—9442no—
1936C22—9442no—
1937C22—9442no—
1938C22—9442no—
1939C22—9442no—
1940C22—2361no—
1941C22—2361no—
1942C22—2361no—
1943C22—2361no—
1944C22—2361no—
1945C22—2361no—
1946C22—2361no—
1947C22—2361no—
1948C22—2361no—
1949C22C22×D4×D5911yescharacteristic
1950C4—21no—
1951C4—21no—
1952C4—21no—
1953C4—41no—
1954C4—41no—
1955C4—41no—
1956C4—592no—
1957C4—1181no—
1958C4—1181no—
1959C4—1181no—
1960C4—1181no—
1961C4—1181no—
1962C4—2361no—
1963C4—2361no—
1964C4—2361no—
1965C4—2361no—
1966C4—2361no—
1967C4C2×#1427377211yescharacteristic
1968C4C2×#1427377211yescharacteristic
1969C2—41no—
1970C2—41no—
1971C2—41no—
1972C2—42no—
1973C2—42no—
1974C2—81no—
1975C2—81no—
1976C2—81no—
1977C2—4721no—
1978C2—4721no—
1979C2—4721no—
1980C2—2361no—
1981C2—2361no—
1982C2#2143772511yescharacteristic
1983C2#576×D5911yescharacteristic
1984C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3008C2
socleC22×C59C23×D4
hypercenter#3008D59
hypocenterC59#61679
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3008

Complements

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

NH ≅ G/Ntype
1. #21438499C2semidirect
2. #21437855C2semidirect
3. #21436334C2semidirect
4. #21436331C2semidirect
5. #21436256C2semidirect
6. #21436253C2semidirect
7. #21436248C2semidirect
8. #21436245C2semidirect
9. #21436020C2semidirect
10. #21436017C2semidirect
11. D8×C22⋊D59C2semidirect
12. #21435766C2semidirect
13. #21435690C2semidirect
14. #21435689C2semidirect
15. #21435579C2semidirect
16. #21435576C2semidirect
17. #21435570C2semidirect
18. #21435569C2semidirect
19. #21435088C2semidirect
20. #21435027C2semidirect
21. #21434950C2semidirect
22. #21434948C2semidirect
23. #21434947C2semidirect
24. #21434945C2semidirect
25. #21434182C2semidirect
26. #21434091C2semidirect
27. #21433364C2semidirect
28. #21433359C2semidirect
29. #21433359C2semidirect
30. #21433169C2semidirect
31. C59×#3008C2semidirect
32. C2×#14273772C22semidirect
33. C2×#14273752C22semidirect
34. C2×#14273751C22semidirect
35. C2×#14273751C22semidirect
36. C22×#11745669C22semidirect
37. C2×D8×D59C22semidirect
38. C2×D8×D59C22semidirect
41. #16838116C22semidirect
42. #16838116C22semidirect
43. #16838115C22semidirect
44. #16838115C22semidirect
47. #16838051C22semidirect
48. #16838051C22semidirect
50. #16838046C22semidirect
51. #16838046C22semidirect
53. #16838040C22semidirect
54. #16838040C22semidirect
55. #16838036C22semidirect
56. #16838036C22semidirect
58. D4×C22⋊D59C22semidirect
59. D4×C22⋊D59C22semidirect
60. D4×C22⋊D59C22semidirect
61. D4×C22⋊D59C22semidirect
63. #16837980C22semidirect
64. #16837980C22semidirect
65. #16837968C22semidirect
66. #16837968C22semidirect
69. #16837966C22semidirect
75. #16837948C22semidirect
76. #16837947C22semidirect
77. #16837947C22semidirect
80. C2×D4×Dic59C22semidirect
81. #16837790C22semidirect
82. #16837788C22semidirect
83. #16837777C22semidirect
84. #16837773C22semidirect
85. #16837763C22semidirect
86. #16837760C22semidirect
87. #16837751C22semidirect
88. #16837747C22semidirect
89. #16837744C22semidirect
90. #16837743C22semidirect
91. #16837742C22semidirect
92. #16837741C22semidirect
93. #16837727C22semidirect
94. #16837726C22semidirect
95. #16837725C22semidirect
96. #16837724C22semidirect
97. #16837721C22semidirect
98. #16837718C22semidirect
99. #16837716C22semidirect
100. #16837713C22semidirect
101. #16837690C22semidirect
102. #16837690C22semidirect
103. #16837680C22semidirect
104. #16837680C22semidirect
105. #16837655C22semidirect
106. #16837654C22semidirect
107. #16837653C22semidirect
108. #16837652C22semidirect
109. #16837651C22semidirect
110. #16837648C22semidirect
111. #16837646C22semidirect
112. #16837645C22semidirect
113. #16837638C22semidirect
114. #16837637C22semidirect
115. #16837636C22semidirect
116. #16837635C22semidirect
117. #16837634C22semidirect
118. #16837631C22semidirect
119. #16837629C22semidirect
120. #16837628C22semidirect
121. #16837620C22semidirect
122. #16837619C22semidirect
123. #16837616C22semidirect
124. #16837615C22semidirect
125. #16837606C22semidirect
126. #16837605C22semidirect
127. #16837596C22semidirect
128. #16837595C22semidirect
129. #16837595C22semidirect
130. #16837595C22semidirect
131. #16837595C22semidirect
132. #16837595C22semidirect
133. #16837555C22semidirect
134. #16837553C22semidirect
135. #16837551C22semidirect
136. #16837551C22semidirect
137. #16837549C22semidirect
138. #16837549C22semidirect
139. #16837548C22semidirect
140. #16837548C22semidirect
141. #16837547C22semidirect
142. #16837547C22semidirect
143. #16837547C22semidirect
144. #16837547C22semidirect
145. #16837545C22semidirect
146. #16837545C22semidirect
147. #16837544C22semidirect
148. #16837544C22semidirect
149. #16837538C22semidirect
150. #16837537C22semidirect
151. #16837537C22semidirect
152. #16837536C22semidirect
153. #16837536C22semidirect
154. #16837536C22semidirect
155. #16837536C22semidirect
156. #16837536C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837534C22semidirect
161. #16837514C22semidirect
162. #16837514C22semidirect
163. #16837511C22semidirect
164. #16837511C22semidirect
165. D8×Dic59C22semidirect
166. D8×Dic59C22semidirect
167. #16837482C22semidirect
168. #16837482C22semidirect
169. #16837478C22semidirect
170. #16837477C22semidirect
171. #16837476C22semidirect
172. #16837473C22semidirect
173. #16837471C22semidirect
174. #16837470C22semidirect
175. C8×C22⋊D59C22semidirect
176. (C22⋊D59)⋊C8C22semidirect
177. #16837456C22semidirect
178. #16837452C22semidirect
179. #16837407C22semidirect
180. #16837405C22semidirect
181. #16837405C22semidirect
182. #16837398C22semidirect
183. #16837395C22semidirect
184. #16837395C22semidirect
185. #16837369C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C2×H(5,𝔽2)×C59C22semidirect
189. C2×AGL(1,ℤ/8)×C59C22semidirect
190. C22×D8×C59C22semidirect
191. C59×#535C22semidirect
192. C59×#449C22semidirect
193. C59×#449C22semidirect
194. C59×#449C22semidirect
195. C59×#449C22semidirect
196. C59×#447C22semidirect
197. C59×#447C22semidirect
198. C59×#447C22semidirect
199. C59×#447C22semidirect
200. C59×#418C22semidirect
201. C59×#416C22semidirect
202. C59×#408C22semidirect
1006. #3008D59semidirect
1025. C2×H(5,𝔽2)C2×D59semidirect
1029. C2×AGL(1,ℤ/8)C2×D59semidirect
1033. C22×D8C2×D59semidirect
1067. #535C2×D59semidirect
1145. #449C2×D59semidirect
1146. #449C2×D59semidirect
1147. #449C2×D59semidirect
1148. #449C2×D59semidirect
1161. #447C2×D59semidirect
1162. #447C2×D59semidirect
1163. #447C2×D59semidirect
1164. #447C2×D59semidirect
1186. #418C2×D59semidirect
1190. #416C2×D59semidirect
1194. #408C2×D59semidirect
1195. C59#61679semidirect

Maximal subgroups

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

subgroupindex
#214384992
#214378552
#214363342
#214363312
#214362562
#214362532
#214362482
#214362452
#214360202
#214360172
D8×C22⋊D592
#214357662
#214356902
#214356892
#214355792
#214355762
#214355702
#214355692
#214350882
#214350272
#214349502
#214349482
#214349472
#214349452
#214341822
#214340912
#214333642
#214333592
#214331692
C59×#30082
#6167959