Finite Group Databasebeta

← #29475787

Subgroups — #29475787

Order 15104.

2140 conjugacy classes of subgroups.

The subgroup lattice has 1930 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438499C211yesmaximal, characteristic, complemented
2#21437863C211yesmaximal, characteristic, complemented
3#21436386C211yesmaximal, characteristic, complemented
4#21436383C211yesmaximal, characteristic, complemented
5#21436286C211yesmaximal, characteristic, complemented
6#21436283C211yesmaximal, characteristic, complemented
7#21436278C211yesmaximal, characteristic, complemented
8#21436275C211yesmaximal, characteristic, complemented
9#21436042C211yesmaximal, characteristic, complemented
10#21436039C211yesmaximal, characteristic, complemented
11SD16×C22⋊D59C211yesmaximal, characteristic, complemented
12#21435785C211yesmaximal, characteristic, complemented
13#21435710C211yesmaximal, characteristic, complemented
14#21435709C211yesmaximal, characteristic, complemented
15#21435594C211yesmaximal, characteristic, complemented
16#21435591C211yesmaximal, characteristic, complemented
17#21435585C211yesmaximal, characteristic, complemented
18#21435584C211yesmaximal, 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#21434213C211yesmaximal, characteristic, complemented
26#21434122C211yesmaximal, characteristic, complemented
27#21433382C211yesmaximal, characteristic, complemented
28#21433377C211yesmaximal, characteristic, complemented
29#21433377C211yesmaximal, characteristic, complemented
30#21433169C211yesmaximal, characteristic, complemented
31C59×#3010C211yesmaximal, characteristic, complemented
32C2×#14273775C2211yescharacteristic, complemented
33C2×#14273754C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic, complemented
36C22×#11745671C2211yescharacteristic, complemented
37C2×SD16×D59C2211yescharacteristic, complemented
38C2×SD16×D59C2211yescharacteristic, complemented
39#16838145—21no—
40#16838144—21no—
41#16838116C2211yescharacteristic
42#16838116C2211yescharacteristic
43#16838115C2211yescharacteristic
44#16838115C2211yescharacteristic
45#16838114—21no—
46#16838071—21no—
47#16838071C2211yescharacteristic, complemented
48#16838071C2211yescharacteristic, complemented
49Q8×C22⋊D59—21no—
50Q8×C22⋊D59C2211yescharacteristic, complemented
51Q8×C22⋊D59C2211yescharacteristic, complemented
52#16838063—21no—
53#16838063C2211yescharacteristic, complemented
54#16838063C2211yescharacteristic, complemented
55#16838059—21no—
56#16838059C2211yescharacteristic, complemented
57#16838059C2211yescharacteristic, complemented
58#16838036C2211yescharacteristic
59#16838036C2211yescharacteristic
60D4×C22⋊D59C2211yescharacteristic
61D4×C22⋊D59C2211yescharacteristic
62#16838034—21no—
63#16837980—21no—
64#16837980—21no—
65#16837980C2211yescharacteristic, complemented
66#16837980C2211yescharacteristic, complemented
67#16837968C2211yescharacteristic
68#16837968C2211yescharacteristic
69#16837967—21no—
70#16837967—21no—
71#16837966C2211yescharacteristic
72#16837965—21no—
73#16837965—21no—
74#16837948—21no—
75#16837948—21no—
76#16837948C2211yescharacteristic
77#16837948C2211yescharacteristic, complemented
78#16837947C2211yescharacteristic
79#16837947C2211yescharacteristic
80C2×Q8×Dic59C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic
82#16837788C2211yescharacteristic
83#16837777C2211yescharacteristic
84#16837773C2211yescharacteristic
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#16837695C2211yescharacteristic, complemented
102#16837695C2211yescharacteristic, complemented
103#16837685C2211yescharacteristic, complemented
104#16837685C2211yescharacteristic, 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#16837600C2211yescharacteristic
128#16837600C2211yescharacteristic
129#16837600C2211yescharacteristic
130#16837600C2211yescharacteristic
131#16837596C2211yescharacteristic, complemented
132#16837595C2211yescharacteristic, complemented
133#16837555C2211yescharacteristic, complemented
134#16837553C2211yescharacteristic, complemented
135#16837551C2211yescharacteristic, complemented
136#16837551C2211yescharacteristic, complemented
137#16837550C2211yescharacteristic, complemented
138#16837550C2211yescharacteristic, complemented
139#16837549C2211yescharacteristic, complemented
140#16837549C2211yescharacteristic, complemented
141#16837547C2211yescharacteristic, complemented
142#16837547C2211yescharacteristic, complemented
143#16837547C2211yescharacteristic, complemented
144#16837547C2211yescharacteristic, complemented
145#16837546C2211yescharacteristic, complemented
146#16837546C2211yescharacteristic, complemented
147#16837545C2211yescharacteristic, complemented
148#16837545C2211yescharacteristic, complemented
149#16837542C2211yescharacteristic, complemented
150#16837542C2211yescharacteristic, complemented
151#16837541C2211yescharacteristic, complemented
152#16837541C2211yescharacteristic, complemented
153#16837541C2211yescharacteristic, complemented
154#16837541C2211yescharacteristic, complemented
155#16837539C2211yescharacteristic, complemented
156#16837539C2211yescharacteristic, complemented
157#16837538C2211yescharacteristic, complemented
158#16837536C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837505C2211yescharacteristic, complemented
162#16837505C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic, complemented
164#16837503C2211yescharacteristic, complemented
165SD16×Dic59C2211yescharacteristic, complemented
166SD16×Dic59C2211yescharacteristic, complemented
167#16837487C2211yescharacteristic, complemented
168#16837487C2211yescharacteristic, 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#16837411C2211yescharacteristic, complemented
180#16837409C2211yescharacteristic, complemented
181#16837409C2211yescharacteristic, complemented
182#16837398C2211yescharacteristic, complemented
183#16837397C2211yescharacteristic, complemented
184#16837397C2211yescharacteristic, complemented
185#16837369C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C2×2−1+4×C59C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
190C22×SD16×C59C2211yescharacteristic, complemented
191C59×#535C2211yescharacteristic
192C59×#449C2211yescharacteristic, complemented
193C59×#449C2211yescharacteristic, complemented
194C59×#449C2211yescharacteristic, complemented
195C59×#449C2211yescharacteristic, complemented
196C59×#448C2211yescharacteristic, complemented
197C59×#448C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic, complemented
199C59×#448C2211yescharacteristic, complemented
200C59×#419C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203#14273775—42no—
204#14273775—42no—
205C2×#11745689—21no—
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745687—21no—
213C2×#11745687—21no—
214C2×Q8×D59—21no—
215C2×Q8×D59C2311yescharacteristic
216C2×Q8×D59C2311yescharacteristic
217C22×D236C2311yescharacteristic
218C22×C22⋊D59—21no—
219C22×C22⋊D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59C2311yescharacteristic
223C2×D4×D59C2311yescharacteristic
224#14273754—42no—
225#14273754—42no—
226#14273752—42no—
227C2×#11745660C2311yescharacteristic
228C2×#11745660C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745671—42no—
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×#11745671C2311yescharacteristic
238SD16×D59—42no—
239SD16×D59—42no—
240C2×D472C2311yescharacteristic
241C2×D472C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745669C2311yescharacteristic
245C2×#11745669C2311yescharacteristic
246C2×#11745664C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C22×C59⋊C8C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252#14273726C2311yescharacteristic
253#14273726C2311yescharacteristic
254#14273725—21no—
255#14273725—21no—
256#14273725D411yescharacteristic
257#14273725C2311yescharacteristic
258#14273723—21no—
259#14273723—21no—
260#14273723—21no—
261#14273723—21no—
262#14273723—21no—
263#14273723D411yescharacteristic
264#14273723C2311yescharacteristic
265#14273723C2311yescharacteristic
266#14273723C2311yescharacteristic
267#14273716—21no—
268#14273716—21no—
269#14273716—21no—
270#14273716D411yescharacteristic
271#14273716C2311yescharacteristic
272#14273715—21no—
273#14273715—21no—
274#14273714—21no—
275#14273714—21no—
276#14273714—21no—
277#14273714—21no—
278#14273714D411yescharacteristic
279#14273714C2311yescharacteristic
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713—21no—
285#14273713—21no—
286#14273713—21no—
287#14273713—21no—
288#14273706—21no—
289#14273706—21no—
290#14273706—21no—
291#14273706—21no—
292#14273706—21no—
293#14273706C2311yescharacteristic
294#14273706C2311yescharacteristic
295#14273703—21no—
296#14273703—21no—
297#14273703—21no—
298#14273703—21no—
299#14273703—21no—
300#14273703C2311yescharacteristic
301#14273703C2311yescharacteristic
302#14273702C2311yescharacteristic
303#14273702C2311yescharacteristic
304#14273701—21no—
305#14273701—21no—
306#14273701—21no—
307#14273701—21no—
308#14273701—21no—
309#14273701C2311yescharacteristic
310#14273701C2311yescharacteristic
311#14273701C2311yescharacteristic
312#14273701C2311yescharacteristic
313#14273701C2311yescharacteristic
314#14273701C2311yescharacteristic
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—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#14273699—21no—
331#14273699D411yescharacteristic
332#14273699D411yescharacteristic
333#14273699D411yescharacteristic
334#14273699D411yescharacteristic
335#14273698—21no—
336#14273698—21no—
337#14273698—21no—
338#14273698—21no—
339#14273698—21no—
340#14273698C2311yescharacteristic
341#14273698C2311yescharacteristic
342#14273698C2311yescharacteristic
343#14273698C2311yescharacteristic
344#14273697—21no—
345#14273697—21no—
346#14273697—21no—
347#14273697—21no—
348#14273696—21no—
349#14273696—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—
358Q8×Dic59—21no—
359Q8×Dic59—21no—
360Q8×Dic59C2311yescharacteristic
361Q8×Dic59C2311yescharacteristic
362Q8×Dic59C2311yescharacteristic
363Q8×Dic59C2311yescharacteristic
364D4×Dic59C2311yescharacteristic
365D4×Dic59C2311yescharacteristic
366#14273689C2311yescharacteristic
367#14273689C2311yescharacteristic
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59—21no—
376C4×C22⋊D59—21no—
377C4×C22⋊D59—21no—
378C4×C22⋊D59C2311yescharacteristic
379C4×C22⋊D59C2311yescharacteristic
380C4×C22⋊D59C2311yescharacteristic
381C4×C22⋊D59C2311yescharacteristic
382(C22⋊D59)⋊C4—21no—
383(C22⋊D59)⋊C4—21no—
384#14273686C2311yescharacteristic
385#14273685C2311yescharacteristic
386#14273685C2311yescharacteristic
387#14273684—21no—
388#14273684—21no—
389#14273683—21no—
390#14273683—21no—
391C2×C4⋊Dic59—21no—
392C2×C4⋊Dic59C2311yescharacteristic
393C2×C4×Dic59—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#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
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
4432−1+4×C59—42no—
4442−1+4×C59—42no—
445C2×#41×C59—21no—
446C2×#41×C59—21no—
447C2×#41×C59—21no—
448C2×#41×C59C2311yescharacteristic
449C2×#41×C59C2311yescharacteristic
450C2×#41×C59C2311yescharacteristic
451C2×#41×C59C2311yescharacteristic
452C22×Q8×C59—21no—
453C22×Q8×C59C2311yescharacteristic
454C22×Q8×C59C2311yescharacteristic
455C22×Q8×C59C2311yescharacteristic
456C22×D4×C59C2311yescharacteristic
457AGL(1,ℤ/8)×C59—42no—
458C2×SD16×C59—42no—
459C2×SD16×C59C2311yescharacteristic
460C2×SD16×C59C2311yescharacteristic
461C2×SD16×C59C2311yescharacteristic
462C2×SD16×C59C2311yescharacteristic
463C2×SD16×C59C2311yescharacteristic
464C2×SD16×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#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494#41×C59—22no—
495#41×C59—22no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499#41×C59—41no—
500#41×C59—41no—
501#41×C59—41no—
502#41×C59—44no—
503#41×C59—44no—
504#41×C59—44no—
505C2×Q8×C59—22no—
506C2×Q8×C59—22no—
507C2×Q8×C59—21no—
508C2×Q8×C59—21no—
509C2×Q8×C59—21no—
510C2×Q8×C59—22no—
511C2×Q8×C59—22no—
512C2×Q8×C59—41no—
513C2×Q8×C59—41no—
514C2×Q8×C59—44no—
515C2×Q8×C59C2×D411yescharacteristic
516C2×Q8×C59C2411yescharacteristic
517C2×Q8×C59C2411yescharacteristic
518C2×Q8×C59C2411yescharacteristic
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—21no—
526C2×D4×C59—21no—
527C2×D4×C59—41no—
528C2×D4×C59—41no—
529C2×D4×C59C2×D411yescharacteristic
530C2×D4×C59C2×D411yescharacteristic
531C2×D4×C59C2×D411yescharacteristic
532C2×D4×C59C2411yescharacteristic
533C2×D4×C59C2411yescharacteristic
534C2×D4×C59C2411yescharacteristic
535C22×C4×C59—21no—
536C22×C4×C59—21no—
537C22×C4×C59—21no—
538C22×C4×C59—21no—
539C22×C4×C59—21no—
540C22×C4×C59—21no—
541C22×C4×C59C2411yescharacteristic
542C22×C4×C59C2411yescharacteristic
543C22×C4×C59C2411yescharacteristic
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—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—82no—
564C2×C22⋊D59—82no—
565C2×C22⋊D59C2×D411yescharacteristic
566C2×C22⋊D59C2×D411yescharacteristic
567C2×C22⋊D59C2×D411yescharacteristic
568C2×C22⋊D59C2×D411yescharacteristic
569C2×C22⋊D59C2×D411yescharacteristic
570C2×C22⋊D59C2×D411yescharacteristic
571C22×Dic59—21no—
572C22×Dic59—21no—
573C22×Dic59—21no—
574C22×Dic59C2×D411yescharacteristic
575C22×Dic59C2×D411yescharacteristic
576#11745689—22no—
577#11745689—22no—
578#11745689—41no—
579#11745689—41no—
580#11745689—44no—
581Q8×D59—22no—
582Q8×D59—22no—
583Q8×D59—41no—
584Q8×D59—41no—
585Q8×D59—44no—
586#11745687—82no—
587#11745687—82no—
588D4×D59—41no—
589D4×D59—41no—
590D4×D59—41no—
591D4×D59—41no—
592D4×D59—82no—
593D4×D59—82no—
594#11745685—41no—
595#11745685—41no—
596#11745685—41no—
597#11745685—41no—
598#11745685—44no—
599#11745685—44no—
600C2×D236—21no—
601C2×D236—21no—
602C2×D236—21no—
603C2×D236—21no—
604C2×D236—21no—
605C2×D236—41no—
606C2×D236—41no—
607C2×D236C2×D411yescharacteristic
608C2×D236C2411yescharacteristic
609C2×D236C2411yescharacteristic
610C2×D236C2411yescharacteristic
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—21no—
614C2×C4×D59—21no—
615C2×C4×D59—21no—
616C2×C4×D59—21no—
617C2×C4×D59—21no—
618C2×C4×D59C2411yescharacteristic
619C2×C4×D59C2411yescharacteristic
620C2×Dic118—21no—
621C2×Dic118—21no—
622C2×Dic118—21no—
623C2×Dic118—21no—
624C2×Dic118C2×D411yescharacteristic
625C2×Dic118C2411yescharacteristic
626SD16×C59—22no—
627SD16×C59—22no—
628SD16×C59—22no—
629SD16×C59—22no—
630SD16×C59—41no—
631SD16×C59—41no—
632D8×C59—41no—
633D8×C59—41no—
634M16×C59—41no—
635C2×C8×C59—41no—
636C2×C8×C59C2411yescharacteristic
637C2×C8×C59C2411yescharacteristic
638C2×C8×C59C2411yescharacteristic
639C2×C8×C59C2411yescharacteristic
640C4⋊C4×C59C2411yescharacteristic
641C4⋊C4×C59C2411yescharacteristic
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C42×C59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59C2×D411yescharacteristic
660C22⋊Dic59C2×D411yescharacteristic
661C22⋊Dic59C2×D411yescharacteristic
662C22⋊Dic59C2×D411yescharacteristic
663#11745671—22no—
664#11745671—22no—
665#11745671—22no—
666#11745671—22no—
667#11745671—41no—
668#11745671—41no—
669#11745670—41no—
670#11745670—41no—
671#11745669—41no—
672#11745669—41no—
673#11745669—41no—
674#11745669—41no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4C2×D411yescharacteristic
692(C2×D59)⋊C4C2×D411yescharacteristic
693(C2×D59)⋊C4C2×D411yescharacteristic
694(C2×D59)⋊C4C2×D411yescharacteristic
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59—21no—
700C4⋊Dic59C2411yescharacteristic
701C4⋊Dic59C2411yescharacteristic
702C4⋊Dic59C2411yescharacteristic
703C4⋊Dic59C2411yescharacteristic
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4C2×D411yescharacteristic
713Dic59⋊C4C2×D411yescharacteristic
714Dic59⋊C4C2×D411yescharacteristic
715Dic59⋊C4C2×D411yescharacteristic
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59—21no—
723C4×Dic59C2×D411yescharacteristic
724C4×Dic59C2×D411yescharacteristic
725C4×Dic59C2411yescharacteristic
726C4×Dic59C2411yescharacteristic
727#11745664—41no—
728C2×C59⋊C8—41no—
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733D472—41no—
734D472—41no—
735#11745660—41no—
736#11745660—41no—
737#11745659—41no—
738#11745659—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—21no—
744C23×C59—81no—
745C23×C59—81no—
746C23×C59—81no—
747C23×C59C22×D411yescharacteristic
748C23×C59C22×D411yescharacteristic
749C23×C59C22×D411yescharacteristic
750C22×D59—21no—
751C22×D59—21no—
752C22×D59—21no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59C22×D411yescharacteristic
763C22×D59C22×D411yescharacteristic
764Q8×C59—24no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—41no—
770Q8×C59—42no—
771Q8×C59—42no—
772Q8×C59H(5,𝔽2)12yes—
773Q8×C59H(5,𝔽2)12yes—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—21no—
780D4×C59—41no—
781D4×C59—41no—
782D4×C59—41no—
783D4×C59—42no—
784D4×C59—42no—
785D4×C59—42no—
786D4×C59—81no—
787D4×C59—81no—
788D4×C59—81no—
789D4×C59—81no—
790D4×C59—81no—
791C2×C4×C59—24no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—21no—
803C2×C4×C59—42no—
804C2×C4×C59—42no—
805C2×C4×C59—42no—
806C2×C4×C59—42no—
807C2×C4×C59—42no—
808C2×C4×C59C22×D411yescharacteristic
809C2×C4×C59C22×D411yescharacteristic
810C2×C4×C59C22×D411yescharacteristic
811C2×C4×C59C2511yescharacteristic
812C22⋊D59—22no—
813C22⋊D59—22no—
814C22⋊D59—41no—
815C22⋊D59—41no—
816C22⋊D59—41no—
817C22⋊D59—41no—
818C22⋊D59—42no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—42no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C22⋊D59—81no—
827C22⋊D59—81no—
828C22⋊D59—81no—
829C22⋊D59—81no—
830C22⋊D59—81no—
831C22⋊D59—81no—
832C22⋊D59—81no—
833C22⋊D59—81no—
834C22⋊D59—81no—
835C22⋊D59—81no—
836C22⋊D59—81no—
837C2×Dic59—22no—
838C2×Dic59—21no—
839C2×Dic59—21no—
840C2×Dic59—21no—
841C2×Dic59—21no—
842C2×Dic59—21no—
843C2×Dic59—41no—
844C2×Dic59—42no—
845C2×Dic59—42no—
846C2×Dic59—81no—
847C2×Dic59C22×D411yescharacteristic
848C2×Dic59C22×D411yescharacteristic
849C2×Dic59C22×D411yescharacteristic
850C2×Dic59C22×D411yescharacteristic
851C2×Dic59C22×D411yescharacteristic
852C2×Dic59C22×D411yescharacteristic
853D236—21no—
854D236—21no—
855D236—21no—
856D236—21no—
857D236—21no—
858D236—21no—
859D236—41no—
860D236—42no—
861D236—42no—
862D236—81no—
863D236—81no—
864D236—81no—
865C4×D59—21no—
866C4×D59—21no—
867C4×D59—21no—
868C4×D59—21no—
869C4×D59—42no—
870C4×D59—42no—
871C4×D59—42no—
872C4×D59—42no—
873C4×D59—42no—
874C4×D59—42no—
875C4×D59—42no—
876Dic118—21no—
877Dic118—21no—
878Dic118—41no—
879Dic118—42no—
880Dic118—42no—
881Dic118—81no—
882Dic118—81no—
883C8×C59—21no—
884C8×C59—21no—
885C8×C59—21no—
886C8×C59—21no—
887C59⋊C8—21no—
888C59⋊C8—21no—
889C59⋊C8—21no—
890C59⋊C8—21no—
891#61682—591nomaximal, Sylow
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—21no—
895C22×C59—21no—
896C22×C59—21no—
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—21no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—41no—
910C22×C59—162no—
911C22×C59C23×D411yescharacteristic
912C2×D59—21no—
913C2×D59—21no—
914C2×D59—21no—
915C2×D59—21no—
916C2×D59—21no—
917C2×D59—21no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—41no—
921C2×D59—41no—
922C2×D59—41no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—41no—
926C2×D59—41no—
927C2×D59—162no—
928C2×D59—162no—
929C2×D59—162no—
930C4×C59—22no—
931C4×C59—22no—
932C4×C59—21no—
933C4×C59—21no—
934C4×C59—21no—
935C4×C59—41no—
936C4×C59—41no—
937C4×C59—41no—
938C4×C59C2×H(5,𝔽2)11yescharacteristic
939C4×C59C2×H(5,𝔽2)11yescharacteristic
940Dic59—21no—
941Dic59—21no—
942Dic59—21no—
943Dic59—21no—
944Dic59—21no—
945Dic59—41no—
946Dic59—41no—
947Dic59—41no—
948Dic59—41no—
949Dic59—41no—
950Dic59#57712yes—
951#3549—591no—
952#3497—591no—
953#3329—591no—
954#3329—591no—
955#3321—591no—
956#3321—591no—
957#3321—591no—
958#3321—591no—
959#3305—591no—
960#3305—591no—
961D4×SD16—591no—
962D4×SD16—591no—
963#3274—591no—
964#3274—591no—
965#3265—591no—
966#3265—591no—
967#3265—591no—
968#3265—591no—
969#3214—591no—
970#3207—591no—
971#3198—591no—
972#3198—591no—
973#3198—591no—
974#3198—591no—
975#3112—591no—
976#3103—591no—
977#3010—591no—
978#3010—591no—
979#3010—591no—
980#3010D5911yescharacteristic, complemented
981#2981—591no—
982C2×C59—41no—
983C2×C59—41no—
984C2×C59—41no—
985C2×C59—81no—
986C2×C59—81no—
987C2×C59—81no—
988C2×C59#348411yescharacteristic
989C2×C59C2×#57711yescharacteristic
990C2×C59#358511yescharacteristic
991D59—41no—
992D59—41no—
993D59—81no—
994D59—81no—
995D59—81no—
996C2×2−1+4—591no—
997C2×2−1+4C2×D5911yescharacteristic, complemented
998C2×AGL(1,ℤ/8)—591no—
999C2×AGL(1,ℤ/8)—591no—
1000C2×AGL(1,ℤ/8)—591no—
1001C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1002C22×SD16—591no—
1003C22×SD16—591no—
1004C22×SD16—591no—
1005C22×SD16C2×D5911yescharacteristic, complemented
1006H(3,𝔽4)—1181no—
1007H(3,𝔽4)—1181no—
1008#555—591no—
1009#555—591no—
1010#555—591no—
1011#555—591no—
1012#555—1181no—
1013#550—591no—
1014#550—591no—
1015#550—1181no—
1016D4×Q8—591no—
1017D4×Q8—591no—
1018D4×Q8—1181no—
1019#548—591no—
1020#548—591no—
1021#548—591no—
1022#548—591no—
1023#548—1181no—
1024#548—1181no—
1025D42—591no—
1026D42—591no—
1027D42—591no—
1028D42—591no—
1029D42—1181no—
1030#537—591no—
1031#537—591no—
1032#537—1181no—
1033#537—1181no—
1034#535—591no—
1035#535—591no—
1036#535—591no—
1037#535—1181no—
1038#535—1181no—
1039#535—1181no—
1040#535—1181no—
1041#535C2×D5911yescharacteristic
1042#532—591no—
1043#532—591no—
1044#532—591no—
1045#532—591no—
1046#532—1181no—
1047#532—1181no—
1048C2×C4×Q8—591no—
1049#496—591no—
1050#496—591no—
1051#493—591no—
1052#492—591no—
1053#489—591no—
1054#489—591no—
1055#487—591no—
1056#486—591no—
1057#485—591no—
1058#485—591no—
1059#485—591no—
1060#485—591no—
1061#482—591no—
1062#482—591no—
1063#482—591no—
1064#482—591no—
1065#481—591no—
1066#481—591no—
1067#480—591no—
1068#480—591no—
1069#477—591no—
1070#477—591no—
1071#475—591no—
1072#475—591no—
1073#469—591no—
1074#469—591no—
1075#469—591no—
1076#469—591no—
1077#468—591no—
1078#468—591no—
1079#468—591no—
1080#468—591no—
1081#466—591no—
1082#466—591no—
1083#466—591no—
1084#466—591no—
1085#465—591no—
1086#465—591no—
1087#465—591no—
1088#465—591no—
1089#463—591no—
1090#463—591no—
1091#463—591no—
1092#463—591no—
1093#461—591no—
1094#461—591no—
1095#460—591no—
1096#460—591no—
1097#460—591no—
1098#460—591no—
1099#459—591no—
1100#459—591no—
1101#450—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#449C2×D5911yescharacteristic, complemented
1118#449C2×D5911yescharacteristic, complemented
1119#449C2×D5911yescharacteristic, complemented
1120#449C2×D5911yescharacteristic, complemented
1121#448—591no—
1122#448—591no—
1123#448—591no—
1124#448—591no—
1125#448—591no—
1126#448—591no—
1127#448—591no—
1128#448—591no—
1129#448C2×D5911yescharacteristic, complemented
1130#448C2×D5911yescharacteristic, complemented
1131#448C2×D5911yescharacteristic, complemented
1132#448C2×D5911yescharacteristic, complemented
1133#447—591no—
1134#447—591no—
1135#447—591no—
1136#447—591no—
1137#440—591no—
1138#440—591no—
1139#440—591no—
1140#440—591no—
1141C4×SD16—591no—
1142C4×SD16—591no—
1143C4×SD16—591no—
1144C4×SD16—591no—
1145#436—591no—
1146#436—591no—
1147#435—591no—
1148#435—591no—
1149#435—591no—
1150#435—591no—
1151C8×D4—591no—
1152C8×D4—591no—
1153#432—591no—
1154#431—591no—
1155#419—591no—
1156#419—591no—
1157#419—591no—
1158#419C2×D5911yescharacteristic, complemented
1159#416—591no—
1160#416—591no—
1161#416—591no—
1162#416C2×D5911yescharacteristic, complemented
1163#408—591no—
1164#408—591no—
1165#408—591no—
1166#408C2×D5911yescharacteristic, complemented
1167C59#6168211yescharacteristic, complemented, Sylow
11682−1+4—42no—
11692−1+4—42no—
11702−1+4—2362no—
11712−1+4—2362no—
1172C2×#41—21no—
1173C2×#41—21no—
1174C2×#41—21no—
1175C2×#41—591no—
1176C2×#41—591no—
1177C2×#41—591no—
1178C2×#41—591no—
1179C2×#41—1181no—
1180C2×#41—1181no—
1181C2×#41—1181no—
1182C2×#41—1181no—
1183C2×#41—1181no—
1184C2×#41C22×D5911yescharacteristic
1185C2×#41C22×D5911yescharacteristic
1186C2×#41C22×D5911yescharacteristic
1187C2×#41C22×D5911yescharacteristic
1188C22×Q8—21no—
1189C22×Q8—591no—
1190C22×Q8—591no—
1191C22×Q8—1181no—
1192C22×Q8C22×D5911yescharacteristic
1193C22×Q8C22×D5911yescharacteristic
1194C22×Q8C22×D5911yescharacteristic
1195C22×D4—591no—
1196C22×D4—591no—
1197C22×D4—591no—
1198C22×D4—1181no—
1199C22×D4—1181no—
1200C22×D4—1181no—
1201C22×D4—1181no—
1202C22×D4C22×D5911yescharacteristic
1203AGL(1,ℤ/8)—42no—
1204AGL(1,ℤ/8)—2362no—
1205AGL(1,ℤ/8)—2362no—
1206AGL(1,ℤ/8)—2362no—
1207C2×SD16—42no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—591no—
1212C2×SD16—591no—
1213C2×SD16—591no—
1214C2×SD16—591no—
1215C2×SD16—591no—
1216C2×SD16—591no—
1217C2×SD16—591no—
1218C2×SD16—2362no—
1219C2×SD16—2362no—
1220C2×SD16—2362no—
1221C2×SD16C22×D5911yescharacteristic
1222C2×SD16C22×D5911yescharacteristic
1223C2×SD16C22×D5911yescharacteristic
1224C2×SD16C22×D5911yescharacteristic
1225C2×SD16C22×D5911yescharacteristic
1226C2×SD16C22×D5911yescharacteristic
1227C2×D8—591no—
1228C2×D8—591no—
1229C2×D8—591no—
1230C2×D8—591no—
1231C2×D8—591no—
1232C2×D8—591no—
1233C2×D8C22×D5911yescharacteristic
1234C2×D8C22×D5911yescharacteristic
1235C2×M16—591no—
1236C2×M16—591no—
1237C2×M16—591no—
1238C2×M16C22×D5911yescharacteristic
1239C22×C8—591no—
1240C22×C8—591no—
1241C22×C8—591no—
1242C22×C8C22×D5911yescharacteristic
1243C4⋊Q8—591no—
1244C4⋊Q8—591no—
1245C4⋊Q8—591no—
1246C4⋊Q8—591no—
1247C4⋊Q8—1181no—
1248C4⋊Q8—1181no—
1249#127—21no—
1250#127—591no—
1251#127—591no—
1252#127—591no—
1253#127—591no—
1254#127—1181no—
1255#127—1181no—
1256#127—1181no—
1257#127—1181no—
1258#127—1181no—
1259#124—21no—
1260#124—591no—
1261#124—591no—
1262#124—591no—
1263#124—591no—
1264#124—1181no—
1265#124—1181no—
1266#124—1181no—
1267#124—1181no—
1268#124—1181no—
1269#124—1181no—
1270#124—1181no—
1271#124—1181no—
1272#124—1181no—
1273#124—1181no—
1274#124—1181no—
1275#124—1181no—
1276#124—1181no—
1277#124—1181no—
1278#124—1181no—
1279#124—1181no—
1280#124—1181no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295#121—591no—
1296#121—591no—
1297#121—591no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121C22×D5911yescharacteristic
1338#121C22×D5911yescharacteristic
1339#121C22×D5911yescharacteristic
1340#121C22×D5911yescharacteristic
1341#120—21no—
1342#120—21no—
1343#120—1181no—
1344#120—1181no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348#120—1181no—
1349#120—1181no—
1350#120—1181no—
1351#120—1181no—
1352#120—1181no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357C4×Q8—591no—
1358C4×Q8—591no—
1359C4×Q8—591no—
1360C4×Q8—591no—
1361C4×Q8—1181no—
1362C4×Q8—1181no—
1363C4×D4—591no—
1364C4×D4—591no—
1365C4×D4—591no—
1366C4×D4—591no—
1367C4×D4—591no—
1368C4×D4—591no—
1369C4×D4—591no—
1370C4×D4—591no—
1371C4×D4—1181no—
1372C4×D4—1181no—
1373C4×D4—1181no—
1374C4×D4—1181no—
1375C4×D4—1181no—
1376C4×D4—1181no—
1377C4×D4—1181no—
1378C4×D4—1181no—
1379C4×D4—1181no—
1380C4×D4—1181no—
1381C4×D4—1181no—
1382C4×D4—1181no—
1383#117—591no—
1384#117—591no—
1385#117—591no—
1386#117—1181no—
1387#117—1181no—
1388#117—1181no—
1389#117—1181no—
1390#117C22×D5911yescharacteristic
1391C2×C4⋊C4—591no—
1392C2×C4⋊C4—1181no—
1393C2×C42—591no—
1394C2×C42—1181no—
1395#107—591no—
1396#107—591no—
1397#107—591no—
1398#107—591no—
1399#106—591no—
1400#106—591no—
1401#106—591no—
1402#106—591no—
1403C4⋊C8—591no—
1404C4⋊C8—591no—
1405C4⋊C8—591no—
1406C4⋊C8—591no—
1407#103—591no—
1408#103—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#103—591no—
1415#103—591no—
1416#103—591no—
1417#103C22×D5911yescharacteristic
1418#103C22×D5911yescharacteristic
1419#103C22×D5911yescharacteristic
1420#103C22×D5911yescharacteristic
1421#103C22×D5911yescharacteristic
1422#103C22×D5911yescharacteristic
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102C22×D5911yescharacteristic
1438#102C22×D5911yescharacteristic
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8—591no—
1444C22⋊C8—591no—
1445C22⋊C8—591no—
1446C22⋊C8—591no—
1447C22⋊C8C22×D5911yescharacteristic
1448C22⋊C8C22×D5911yescharacteristic
1449C22⋊C8C22×D5911yescharacteristic
1450C22⋊C8C22×D5911yescharacteristic
1451#97—591no—
1452#97—591no—
1453C4×C8—591no—
1454C4×C8—591no—
1455C24—21no—
1456C24—1181no—
1457C24—1181no—
1458C24—1181no—
1459#41—22no—
1460#41—22no—
1461#41—41no—
1462#41—41no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—44no—
1468#41—44no—
1469#41—44no—
1470#41—1182no—
1471#41—1182no—
1472#41—4722no—
1473#41—4722no—
1474#41—2361no—
1475#41—2361no—
1476#41—2361no—
1477#41—2361no—
1478#41—2364no—
1479#41—2364no—
1480#41—2361no—
1481#41—2361no—
1482#41—2364no—
1483C2×Q8—22no—
1484C2×Q8—22no—
1485C2×Q8—21no—
1486C2×Q8—21no—
1487C2×Q8—21no—
1488C2×Q8—22no—
1489C2×Q8—22no—
1490C2×Q8—41no—
1491C2×Q8—41no—
1492C2×Q8—44no—
1493C2×Q8—591no—
1494C2×Q8—591no—
1495C2×Q8—1181no—
1496C2×Q8—1181no—
1497C2×Q8—1181no—
1498C2×Q8—1181no—
1499C2×Q8—1182no—
1500C2×Q8—1182no—
1501C2×Q8—2361no—
1502C2×Q8—2361no—
1503C2×Q8—2364no—
1504C2×Q8D4×D5911yescharacteristic
1505C2×Q8C23×D5911yescharacteristic
1506C2×Q8C23×D5911yescharacteristic
1507C2×Q8C23×D5911yescharacteristic
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—41no—
1517C2×D4—41no—
1518C2×D4—591no—
1519C2×D4—591no—
1520C2×D4—591no—
1521C2×D4—591no—
1522C2×D4—591no—
1523C2×D4—591no—
1524C2×D4—591no—
1525C2×D4—591no—
1526C2×D4—591no—
1527C2×D4—591no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—1181no—
1542C2×D4—1181no—
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—4722no—
1553C2×D4—4722no—
1554C2×D4—4722no—
1555C2×D4—4722no—
1556C2×D4—2361no—
1557C2×D4—2361no—
1558C2×D4—2361no—
1559C2×D4—2361no—
1560C2×D4—2361no—
1561C2×D4—2361no—
1562C2×D4D4×D5911yescharacteristic
1563C2×D4D4×D5911yescharacteristic
1564C2×D4D4×D5911yescharacteristic
1565C2×D4C23×D5911yescharacteristic
1566C2×D4C23×D5911yescharacteristic
1567C2×D4C23×D5911yescharacteristic
1568C22×C4—21no—
1569C22×C4—21no—
1570C22×C4—21no—
1571C22×C4—21no—
1572C22×C4—21no—
1573C22×C4—21no—
1574C22×C4—591no—
1575C22×C4—591no—
1576C22×C4—591no—
1577C22×C4—591no—
1578C22×C4—1181no—
1579C22×C4—1181no—
1580C22×C4—1181no—
1581C22×C4—1181no—
1582C22×C4—1181no—
1583C22×C4—1181no—
1584C22×C4—1181no—
1585C22×C4—1181no—
1586C22×C4—1181no—
1587C22×C4—1181no—
1588C22×C4C23×D5911yescharacteristic
1589C22×C4C23×D5911yescharacteristic
1590C22×C4C23×D5911yescharacteristic
1591SD16—22no—
1592SD16—22no—
1593SD16—22no—
1594SD16—22no—
1595SD16—41no—
1596SD16—41no—
1597SD16—1182no—
1598SD16—1182no—
1599SD16—1182no—
1600SD16—1182no—
1601SD16—2361no—
1602SD16—2361no—
1603SD16—2361no—
1604SD16—2361no—
1605SD16—2361no—
1606SD16—2361no—
1607D8—41no—
1608D8—41no—
1609D8—2361no—
1610D8—2361no—
1611D8—2361no—
1612D8—2361no—
1613D8—2361no—
1614D8—2361no—
1615M16—41no—
1616M16—2361no—
1617M16—2361no—
1618M16—2361no—
1619C2×C8—41no—
1620C2×C8—591no—
1621C2×C8—591no—
1622C2×C8—591no—
1623C2×C8—591no—
1624C2×C8—2361no—
1625C2×C8—2361no—
1626C2×C8—2361no—
1627C2×C8C23×D5911yescharacteristic
1628C2×C8C23×D5911yescharacteristic
1629C2×C8C23×D5911yescharacteristic
1630C2×C8C23×D5911yescharacteristic
1631C4⋊C4—591no—
1632C4⋊C4—591no—
1633C4⋊C4—591no—
1634C4⋊C4—591no—
1635C4⋊C4—591no—
1636C4⋊C4—591no—
1637C4⋊C4—591no—
1638C4⋊C4—591no—
1639C4⋊C4—1181no—
1640C4⋊C4—1181no—
1641C4⋊C4—1181no—
1642C4⋊C4—1181no—
1643C4⋊C4—1181no—
1644C4⋊C4—1181no—
1645C4⋊C4—1181no—
1646C4⋊C4—1181no—
1647C4⋊C4—1181no—
1648C4⋊C4—1181no—
1649C4⋊C4—1181no—
1650C4⋊C4—1181no—
1651C4⋊C4—1181no—
1652C4⋊C4C23×D5911yescharacteristic
1653C4⋊C4C23×D5911yescharacteristic
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—591no—
1660C22⋊C4—591no—
1661C22⋊C4—591no—
1662C22⋊C4—591no—
1663C22⋊C4—591no—
1664C22⋊C4—591no—
1665C22⋊C4—591no—
1666C22⋊C4—591no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C42—21no—
1695C42—591no—
1696C42—591no—
1697C42—591no—
1698C42—591no—
1699C42—1181no—
1700C42—1181no—
1701C42—1181no—
1702C42—1181no—
1703C42—1181no—
1704C42—1181no—
1705C42—1181no—
1706C23—21no—
1707C23—21no—
1708C23—21no—
1709C23—81no—
1710C23—81no—
1711C23—81no—
1712C23—591no—
1713C23—591no—
1714C23—1181no—
1715C23—1181no—
1716C23—1181no—
1717C23—4721no—
1718C23—4721no—
1719C23—4721no—
1720C23—4721no—
1721C23—4721no—
1722C23—4721no—
1723C23—4721no—
1724C23—4721no—
1725C23—4721no—
1726C23C2×D4×D5911yescharacteristic
1727C23C2×D4×D5911yescharacteristic
1728C23C2×D4×D5911yescharacteristic
1729Q8—24no—
1730Q8—21no—
1731Q8—21no—
1732Q8—21no—
1733Q8—21no—
1734Q8—41no—
1735Q8—42no—
1736Q8—42no—
1737Q8—1181no—
1738Q8—1181no—
1739Q8—4721no—
1740Q8—4721no—
1741Q8—2361no—
1742Q8—2362no—
1743Q8—2362no—
1744Q8#1427377212yes—
1745Q8#1427377212yes—
1746D4—21no—
1747D4—21no—
1748D4—21no—
1749D4—21no—
1750D4—21no—
1751D4—21no—
1752D4—41no—
1753D4—41no—
1754D4—41no—
1755D4—42no—
1756D4—42no—
1757D4—42no—
1758D4—81no—
1759D4—81no—
1760D4—81no—
1761D4—81no—
1762D4—81no—
1763D4—1182no—
1764D4—1182no—
1765D4—1181no—
1766D4—1181no—
1767D4—1181no—
1768D4—1181no—
1769D4—1181no—
1770D4—1181no—
1771D4—4721no—
1772D4—4721no—
1773D4—4721no—
1774D4—4721no—
1775D4—4721no—
1776D4—4721no—
1777D4—4721no—
1778D4—4721no—
1779D4—4721no—
1780D4—4721no—
1781D4—4721no—
1782D4—4721no—
1783D4—4721no—
1784D4—4721no—
1785D4—4721no—
1786D4—4721no—
1787D4—4721no—
1788D4—4721no—
1789D4—2361no—
1790D4—2362no—
1791D4—2362no—
1792D4—2362no—
1793D4—2362no—
1794D4—2361no—
1795D4—2361no—
1796D4—2361no—
1797D4—2361no—
1798D4—2362no—
1799D4—2362no—
1800C2×C4—24no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—42no—
1813C2×C4—42no—
1814C2×C4—42no—
1815C2×C4—42no—
1816C2×C4—42no—
1817C2×C4—591no—
1818C2×C4—591no—
1819C2×C4—591no—
1820C2×C4—591no—
1821C2×C4—591no—
1822C2×C4—591no—
1823C2×C4—1182no—
1824C2×C4—1181no—
1825C2×C4—1181no—
1826C2×C4—1181no—
1827C2×C4—1181no—
1828C2×C4—1181no—
1829C2×C4—1181no—
1830C2×C4—1181no—
1831C2×C4—1181no—
1832C2×C4—1181no—
1833C2×C4—4721no—
1834C2×C4—2362no—
1835C2×C4—2362no—
1836C2×C4—2362no—
1837C2×C4—2362no—
1838C2×C4—2362no—
1839C2×C4—2362no—
1840C2×C4—2362no—
1841C2×C4—2362no—
1842C2×C4—2361no—
1843C2×C4—2362no—
1844C2×C4C2×D4×D5911yescharacteristic
1845C2×C4C2×D4×D5911yescharacteristic
1846C2×C4C2×D4×D5911yescharacteristic
1847C2×C4C24×D5911yescharacteristic
1848C8—21no—
1849C8—21no—
1850C8—21no—
1851C8—21no—
1852C8—1181no—
1853C8—1181no—
1854C8—1181no—
1855C8—1181no—
1856C22—21no—
1857C22—21no—
1858C22—21no—
1859C22—21no—
1860C22—21no—
1861C22—21no—
1862C22—21no—
1863C22—21no—
1864C22—21no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—162no—
1875C22—1181no—
1876C22—1181no—
1877C22—1181no—
1878C22—1181no—
1879C22—1181no—
1880C22—1181no—
1881C22—9442no—
1882C22—9442no—
1883C22—9442no—
1884C22—2361no—
1885C22—2361no—
1886C22—2361no—
1887C22—2361no—
1888C22—2361no—
1889C22—2361no—
1890C22—2361no—
1891C22—2361no—
1892C22—2361no—
1893C22C22×D4×D5911yescharacteristic
1894C4—22no—
1895C4—22no—
1896C4—21no—
1897C4—21no—
1898C4—21no—
1899C4—41no—
1900C4—41no—
1901C4—41no—
1902C4—592no—
1903C4—1181no—
1904C4—1181no—
1905C4—1181no—
1906C4—1181no—
1907C4—1181no—
1908C4—2361no—
1909C4—2361no—
1910C4—2361no—
1911C4—2361no—
1912C4—2361no—
1913C4C2×#1427377211yescharacteristic
1914C4C2×#1427377211yescharacteristic
1915C2—41no—
1916C2—41no—
1917C2—41no—
1918C2—81no—
1919C2—81no—
1920C2—81no—
1921C2—4721no—
1922C2—4721no—
1923C2—4721no—
1924C2—2361no—
1925C2—2361no—
1926C2#2143772511yescharacteristic
1927C2#577×D5911yescharacteristic
1928C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3010C2
socleC22×C59C23×D4
hypercenter#3010D59
hypocenterC59#61682
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3010

Complements

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

NH ≅ G/Ntype
1. #21438499C2semidirect
2. #21437863C2semidirect
3. #21436386C2semidirect
4. #21436383C2semidirect
5. #21436286C2semidirect
6. #21436283C2semidirect
7. #21436278C2semidirect
8. #21436275C2semidirect
9. #21436042C2semidirect
10. #21436039C2semidirect
11. SD16×C22⋊D59C2semidirect
12. #21435785C2semidirect
13. #21435710C2semidirect
14. #21435709C2semidirect
15. #21435594C2semidirect
16. #21435591C2semidirect
17. #21435585C2semidirect
18. #21435584C2semidirect
19. #21435088C2semidirect
20. #21435027C2semidirect
21. #21434950C2semidirect
22. #21434948C2semidirect
23. #21434947C2semidirect
24. #21434945C2semidirect
25. #21434213C2semidirect
26. #21434122C2semidirect
27. #21433382C2semidirect
28. #21433377C2semidirect
29. #21433377C2semidirect
30. #21433169C2semidirect
31. C59×#3010C2semidirect
32. C2×#14273775C22semidirect
33. C2×#14273754C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273752C22semidirect
36. C22×#11745671C22semidirect
37. C2×SD16×D59C22semidirect
38. C2×SD16×D59C22semidirect
47. #16838071C22semidirect
48. #16838071C22semidirect
50. Q8×C22⋊D59C22semidirect
51. Q8×C22⋊D59C22semidirect
53. #16838063C22semidirect
54. #16838063C22semidirect
56. #16838059C22semidirect
57. #16838059C22semidirect
65. #16837980C22semidirect
66. #16837980C22semidirect
77. #16837948C22semidirect
80. C2×Q8×Dic59C22semidirect
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. #16837695C22semidirect
102. #16837695C22semidirect
103. #16837685C22semidirect
104. #16837685C22semidirect
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
131. #16837596C22semidirect
132. #16837595C22semidirect
133. #16837555C22semidirect
134. #16837553C22semidirect
135. #16837551C22semidirect
136. #16837551C22semidirect
137. #16837550C22semidirect
138. #16837550C22semidirect
139. #16837549C22semidirect
140. #16837549C22semidirect
141. #16837547C22semidirect
142. #16837547C22semidirect
143. #16837547C22semidirect
144. #16837547C22semidirect
145. #16837546C22semidirect
146. #16837546C22semidirect
147. #16837545C22semidirect
148. #16837545C22semidirect
149. #16837542C22semidirect
150. #16837542C22semidirect
151. #16837541C22semidirect
152. #16837541C22semidirect
153. #16837541C22semidirect
154. #16837541C22semidirect
155. #16837539C22semidirect
156. #16837539C22semidirect
157. #16837538C22semidirect
158. #16837536C22semidirect
159. #16837534C22semidirect
160. #16837534C22semidirect
161. #16837505C22semidirect
162. #16837505C22semidirect
163. #16837503C22semidirect
164. #16837503C22semidirect
165. SD16×Dic59C22semidirect
166. SD16×Dic59C22semidirect
167. #16837487C22semidirect
168. #16837487C22semidirect
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. #16837411C22semidirect
180. #16837409C22semidirect
181. #16837409C22semidirect
182. #16837398C22semidirect
183. #16837397C22semidirect
184. #16837397C22semidirect
185. #16837369C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C2×2−1+4×C59C22semidirect
189. C2×AGL(1,ℤ/8)×C59C22semidirect
190. C22×SD16×C59C22semidirect
192. C59×#449C22semidirect
193. C59×#449C22semidirect
194. C59×#449C22semidirect
195. C59×#449C22semidirect
196. C59×#448C22semidirect
197. C59×#448C22semidirect
198. C59×#448C22semidirect
199. C59×#448C22semidirect
200. C59×#419C22semidirect
201. C59×#416C22semidirect
202. C59×#408C22semidirect
980. #3010D59semidirect
997. C2×2−1+4C2×D59semidirect
1001. C2×AGL(1,ℤ/8)C2×D59semidirect
1005. C22×SD16C2×D59semidirect
1117. #449C2×D59semidirect
1118. #449C2×D59semidirect
1119. #449C2×D59semidirect
1120. #449C2×D59semidirect
1129. #448C2×D59semidirect
1130. #448C2×D59semidirect
1131. #448C2×D59semidirect
1132. #448C2×D59semidirect
1158. #419C2×D59semidirect
1162. #416C2×D59semidirect
1166. #408C2×D59semidirect
1167. C59#61682semidirect

Maximal subgroups

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

subgroupindex
#214384992
#214378632
#214363862
#214363832
#214362862
#214362832
#214362782
#214362752
#214360422
#214360392
SD16×C22⋊D592
#214357852
#214357102
#214357092
#214355942
#214355912
#214355852
#214355842
#214350882
#214350272
#214349502
#214349482
#214349472
#214349452
#214342132
#214341222
#214333822
#214333772
#214331692
C59×#30102
#6168259