Finite Group Databasebeta

← #29481962

Subgroups — #29481962

Order 15104.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438422C211yesmaximal, characteristic, complemented
2#21438024C211yesmaximal, characteristic, complemented
3#21437184C211yesmaximal, characteristic, complemented
4#21437141C211yesmaximal, characteristic, complemented
5#21436846C211yesmaximal, characteristic, complemented
6#21436807C211yesmaximal, characteristic, complemented
7#21436238C211yesmaximal, characteristic, complemented
8#21436118C211yesmaximal, characteristic, complemented
9#21436098C211yesmaximal, characteristic, complemented
10#21436064C211yesmaximal, characteristic, complemented
11#21435932C211yesmaximal, characteristic, complemented
12#21435912C211yesmaximal, characteristic, complemented
13#21435776C211yesmaximal, characteristic, complemented
14D8×C22⋊D59C211yesmaximal, characteristic, complemented
15#21435630C211yesmaximal, characteristic, complemented
16#21435576C211yesmaximal, characteristic, complemented
17#21435571C211yesmaximal, characteristic, complemented
18#21435570C211yesmaximal, characteristic, complemented
19#21435533C211yesmaximal, characteristic, complemented
20#21435509C211yesmaximal, characteristic, complemented
21#21435445C211yesmaximal, characteristic, complemented
22#21435190C211yesmaximal, characteristic, complemented
23#21435143C211yesmaximal, characteristic, complemented
24#21435113C211yesmaximal, characteristic, complemented
25#21434339C211yesmaximal, characteristic, complemented
26#21434292C211yesmaximal, characteristic, complemented
27#21434233C211yesmaximal, characteristic, complemented
28#21433636C211yesmaximal, characteristic, complemented
29#459×D59C211yesmaximal, characteristic, complemented
30#21433233C211yesmaximal, characteristic, complemented
31C59×#3041C211yesmaximal, characteristic, complemented
32C2×#14273751C2211yescharacteristic, complemented
33C2×#14273748C2211yescharacteristic, complemented
34C2×D8×D59C2211yescharacteristic, complemented
35C2×D8×D59C2211yescharacteristic, complemented
36#16838141—21no—
37#16838140—21no—
38#16838135C2211yescharacteristic, complemented
39#16838134C2211yescharacteristic, complemented
40#16838109C2211yescharacteristic, complemented
41#16838098—21no—
42#16838096C2211yescharacteristic, complemented
43#16838091C2211yescharacteristic, complemented
44#16838081—21no—
45#16838078—21no—
46#16838072C2211yescharacteristic, complemented
47#16838071C2211yescharacteristic, complemented
48#16838057C2211yescharacteristic, complemented
49#16838047C2211yescharacteristic, complemented
50#16838046C2211yescharacteristic, complemented
51#16838045C2211yescharacteristic, complemented
52#16838042—21no—
53#16838041—21no—
54#16838040C2211yescharacteristic
55#16838037C2211yescharacteristic, complemented
56D4×C22⋊D59C2211yescharacteristic
57D4×C22⋊D59C2211yescharacteristic, complemented
58D4×C22⋊D59C2211yescharacteristic, complemented
59#16838034—21no—
60#16838023C2211yescharacteristic, complemented
61#16838007C2211yescharacteristic, complemented
62#16838006C2211yescharacteristic, complemented
63#16838003C2211yescharacteristic, complemented
64#16838002—21no—
65#16837994—21no—
66#16837990—21no—
67#16837970C2211yescharacteristic, complemented
68#16837967—21no—
69#16837962—21no—
70#16837960—21no—
71#127×D59C2211yescharacteristic, complemented
72#16837934C2211yescharacteristic, complemented
73#16837931C2211yescharacteristic, complemented
74#16837930C2211yescharacteristic
75#16837911—21no—
76C2×#14273709—21no—
77#16837881C2211yescharacteristic, complemented
78C4×D4×D59C2211yescharacteristic, complemented
79#16837790C2211yescharacteristic, complemented
80#16837790C2211yescharacteristic, complemented
81#16837789C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837784C2211yescharacteristic, complemented
84#16837777C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837765C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic, complemented
88#16837761C2211yescharacteristic, complemented
89#16837758C2211yescharacteristic, complemented
90#16837748C2211yescharacteristic, complemented
91#16837731C2211yescharacteristic, complemented
92#16837726C2211yescharacteristic, complemented
93#16837726C2211yescharacteristic, complemented
94#16837719C2211yescharacteristic, complemented
95#16837714C2211yescharacteristic, complemented
96#16837714C2211yescharacteristic, complemented
97#16837711C2211yescharacteristic, complemented
98#16837710C2211yescharacteristic, complemented
99#16837704C2211yescharacteristic, complemented
100#16837704C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic, complemented
102#16837702C2211yescharacteristic, complemented
103#16837702C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837693C2211yescharacteristic, complemented
106#16837683C2211yescharacteristic, complemented
107#16837655C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic, complemented
109#16837652C2211yescharacteristic, complemented
110#16837648C2211yescharacteristic, complemented
111#16837642C2211yescharacteristic, complemented
112#16837638C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic, complemented
114#16837635C2211yescharacteristic
115#16837635C2211yescharacteristic, complemented
116#16837631C2211yescharacteristic, complemented
117#16837630C2211yescharacteristic, complemented
118#16837628C2211yescharacteristic, complemented
119#16837627C2211yescharacteristic, complemented
120#16837622C2211yescharacteristic, complemented
121#16837621C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837618C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic, complemented
127#16837603C2211yescharacteristic, complemented
128#16837601C2211yescharacteristic, complemented
129#16837599C2211yescharacteristic, complemented
130#16837598C2211yescharacteristic, complemented
131#16837597C2211yescharacteristic, complemented
132#16837597C2211yescharacteristic, complemented
133#16837596C2211yescharacteristic, complemented
134#16837596C2211yescharacteristic, complemented
135#16837595C2211yescharacteristic
136#16837595C2211yescharacteristic, complemented
137#16837595C2211yescharacteristic, complemented
138#16837595C2211yescharacteristic, complemented
139#16837595C2211yescharacteristic, complemented
140#16837594C2211yescharacteristic, complemented
141#16837564C2211yescharacteristic, complemented
142#16837554C2211yescharacteristic, complemented
143#16837554C2211yescharacteristic, complemented
144#16837553C2211yescharacteristic, complemented
145#16837551C2211yescharacteristic, complemented
146#16837550C2211yescharacteristic, complemented
147#16837547C2211yescharacteristic, complemented
148#16837546C2211yescharacteristic, complemented
149#16837544C2211yescharacteristic, complemented
150#16837544C2211yescharacteristic, complemented
151#16837537C2211yescharacteristic, complemented
152#16837536C2211yescharacteristic, complemented
153#16837536C2211yescharacteristic, complemented
154#16837536C2211yescharacteristic, complemented
155#16837534C2211yescharacteristic
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837531C2211yescharacteristic, complemented
160#16837529C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837514C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837512C2211yescharacteristic, complemented
165#16837511C2211yescharacteristic, complemented
166#16837505C2211yescharacteristic, complemented
167#16837503C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169#16837493C2211yescharacteristic, complemented
170D8×Dic59C2211yescharacteristic, complemented
171C4×#11745669C2211yescharacteristic, complemented
172C4×#11745669C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837472C2211yescharacteristic, complemented
175#16837471C2211yescharacteristic, complemented
176#16837471C2211yescharacteristic, complemented
177#16837467C2211yescharacteristic, complemented
178C8×C22⋊D59C2211yescharacteristic, complemented
179#16837463C2211yescharacteristic, complemented
180#16837462C2211yescharacteristic, complemented
181#16837458C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183C4⋊C8×D59C2211yescharacteristic, complemented
184#16837402C2211yescharacteristic, complemented
185#102×D59C2211yescharacteristic, complemented
186#102×D59C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C22×D8×C59C2211yescharacteristic, complemented
190C59×#535C2211yescharacteristic, complemented
191C59×#518C2211yescharacteristic, complemented
192C59×#463C2211yescharacteristic, complemented
193C59×#463C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#459C2211yescharacteristic, complemented
198C59×#459C2211yescharacteristic, complemented
199C59×#459C2211yescharacteristic, complemented
200C59×#424C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745687—21no—
206C2×#11745687C2311yescharacteristic
207C22×C22⋊D59—21no—
208C22×C22⋊D59—21no—
209C22×C22⋊D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59—21no—
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215C2×D4×D59C2311yescharacteristic
216C2×D4×D59C2311yescharacteristic
217C22×C4×D59—21no—
218#14273751—42no—
219#14273748—42no—
220C2×#11745672C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×D472C2311yescharacteristic
228C2×D472C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236D8×D59—42no—
237D8×D59—42no—
238C2×#11745659C2311yescharacteristic
239C2×C8×D59C2311yescharacteristic
240C2×C8×D59C2311yescharacteristic
241C2×C8×D59C2311yescharacteristic
242#14273727C2311yescharacteristic
243#14273724C2311yescharacteristic
244#14273723—21no—
245#14273723—21no—
246#14273723—21no—
247#14273723C2311yescharacteristic
248#14273723C2311yescharacteristic
249#14273723C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273722—21no—
252#14273722D411yescharacteristic
253#14273721—21no—
254#14273720—21no—
255#14273720—21no—
256#14273720—21no—
257#14273720D411yescharacteristic
258#14273719—21no—
259#14273719C2311yescharacteristic
260#14273718C2311yescharacteristic
261#14273718C2311yescharacteristic
262#14273717D411yescharacteristic
263#14273716C2311yescharacteristic
264#14273715C2311yescharacteristic
265#14273714C2311yescharacteristic
266#14273713—21no—
267#14273713—21no—
268#14273713—21no—
269#14273713D411yescharacteristic
270#14273712—21no—
271#14273712—21no—
272#14273712D411yescharacteristic
273#14273711—21no—
274#14273711—21no—
275#14273710—21no—
276#14273710—21no—
277#14273710—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709D411yescharacteristic
290#14273708—21no—
291#14273708—21no—
292#14273708—21no—
293#14273707C2311yescharacteristic
294#14273706—21no—
295#14273706—21no—
296#14273706C2311yescharacteristic
297#14273705—21no—
298#14273705D411yescharacteristic
299#14273704—21no—
300#14273704—21no—
301#14273703C2311yescharacteristic
302#14273702C2311yescharacteristic
303#14273701—21no—
304#14273701—21no—
305#14273701—21no—
306#14273701C2311yescharacteristic
307#14273701C2311yescharacteristic
308#14273701C2311yescharacteristic
309#14273700—21no—
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700D411yescharacteristic
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#14273698—21no—
327#14273698—21no—
328#14273698—21no—
329#14273698C2311yescharacteristic
330#14273698C2311yescharacteristic
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273696—21no—
339#14273696—21no—
340#14273696—21no—
341#14273696—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345#14273695—21no—
346#14273695—21no—
347#14273695—21no—
348Q8×Dic59C2311yescharacteristic
349C4×Dic118C2311yescharacteristic
350C4×Dic118C2311yescharacteristic
351#14273692C2311yescharacteristic
352C4×D236—21no—
353C4×D236C2311yescharacteristic
354C4×D236C2311yescharacteristic
355C4×D236C2311yescharacteristic
356C4×D236C2311yescharacteristic
357D4×Dic59C2311yescharacteristic
358D4×Dic59C2311yescharacteristic
359D4×Dic59C2311yescharacteristic
360D4×Dic59C2311yescharacteristic
361D4×Dic59C2311yescharacteristic
362#14273689C2311yescharacteristic
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59C2311yescharacteristic
369C4×C22⋊D59C2311yescharacteristic
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374#14273686—21no—
375#14273684—21no—
376#14273684C2311yescharacteristic
377#14273683—21no—
378#14273683—21no—
379C2×C4⋊Dic59—21no—
380C2×Dic59⋊C4—21no—
381C4⋊C4×D59C2311yescharacteristic
382C4⋊C4×D59C2311yescharacteristic
383C2×C22⋊Dic59—21no—
384C2×(C2×D59)⋊C4—21no—
385C2×(C2×D59)⋊C4—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C42×D59C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273661C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273659C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273648C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428C22⋊(C59⋊C8)C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C22×D4×C59C2311yescharacteristic
441C22×D4×C59C2311yescharacteristic
442AGL(1,ℤ/8)×C59—42no—
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×D8×C59—42no—
446C2×D8×C59C2311yescharacteristic
447C2×D8×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454#127×C59C2311yescharacteristic
455#127×C59C2311yescharacteristic
456#124×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#121×C59—21no—
459#121×C59—21no—
460#120×C59—21no—
461#120×C59—21no—
462C4×D4×C59—21no—
463C4×D4×C59—21no—
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59C2311yescharacteristic
469#117×C59C2311yescharacteristic
470C2×C22⋊C4×C59—21no—
471C2×C22⋊C4×C59—21no—
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490#41×C59—41no—
491#41×C59—41no—
492C2×Q8×C59C2411yescharacteristic
493C2×D4×C59—22no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—41no—
502C2×D4×C59—41no—
503C2×D4×C59—41no—
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59C2411yescharacteristic
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—82no—
537C2×C22⋊D59—82no—
538C2×C22⋊D59—82no—
539C2×C22⋊D59C2×D411yescharacteristic
540C2×C22⋊D59C2×D411yescharacteristic
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59—21no—
545C22×Dic59—21no—
546C22×Dic59—21no—
547#11745689—41no—
548#11745689—41no—
549#11745687—22no—
550#11745687—41no—
551#11745687—82no—
552D4×D59—22no—
553D4×D59—41no—
554D4×D59—41no—
555D4×D59—41no—
556D4×D59—41no—
557D4×D59—41no—
558D4×D59—41no—
559D4×D59—41no—
560D4×D59—82no—
561D4×D59—82no—
562D4×D59—82no—
563#11745685—82no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236C2×D411yescharacteristic
569C2×D236C2411yescharacteristic
570C2×D236C2411yescharacteristic
571C2×D236C2411yescharacteristic
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—82no—
580C2×C4×D59C2×D411yescharacteristic
581C2×C4×D59C2×D411yescharacteristic
582C2×C4×D59C2411yescharacteristic
583C2×C4×D59C2411yescharacteristic
584C2×Dic118—21no—
585C2×Dic118C2×D411yescharacteristic
586C2×Dic118C2411yescharacteristic
587SD16×C59—22no—
588SD16×C59—41no—
589D8×C59—22no—
590D8×C59—22no—
591D8×C59—22no—
592D8×C59—41no—
593D8×C59—41no—
594D8×C59—41no—
595M16×C59—41no—
596C2×C8×C59—41no—
597C2×C8×C59C2411yescharacteristic
598C2×C8×C59C2411yescharacteristic
599C2×C8×C59C2411yescharacteristic
600C2×C8×C59C2411yescharacteristic
601C4⋊C4×C59C2×D411yescharacteristic
602C4⋊C4×C59C2×D411yescharacteristic
603C4⋊C4×C59C2411yescharacteristic
604C4⋊C4×C59C2411yescharacteristic
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59—21no—
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
613C22⋊C4×C59—21no—
614C22⋊C4×C59C2×D411yescharacteristic
615C22⋊C4×C59C2×D411yescharacteristic
616C42×C59—21no—
617C42×C59C2411yescharacteristic
618C42×C59C2411yescharacteristic
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59C2×D411yescharacteristic
633C22⋊Dic59C2×D411yescharacteristic
634#11745672—41no—
635#11745671—41no—
636#11745670—41no—
637#11745670—41no—
638#11745670—41no—
639#11745669—22no—
640#11745669—22no—
641#11745669—41no—
642#11745669—41no—
643#11745669—41no—
644#11745669—41no—
645#11745669—41no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662(C2×D59)⋊C4C2×D411yescharacteristic
663(C2×D59)⋊C4C2×D411yescharacteristic
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666C4⋊Dic59—21no—
667C4⋊Dic59—21no—
668C4⋊Dic59—21no—
669C4⋊Dic59—21no—
670C4⋊Dic59—21no—
671C4⋊Dic59C2×D411yescharacteristic
672C4⋊Dic59C2×D411yescharacteristic
673C4⋊Dic59C2411yescharacteristic
674C4⋊Dic59C2411yescharacteristic
675C4⋊Dic59C2411yescharacteristic
676C4⋊Dic59C2411yescharacteristic
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4C2×D411yescharacteristic
688Dic59⋊C4C2×D411yescharacteristic
689Dic59⋊C4C2×D411yescharacteristic
690Dic59⋊C4C2×D411yescharacteristic
691Dic59⋊C4C2×D411yescharacteristic
692Dic59⋊C4C2×D411yescharacteristic
693C4×Dic59—21no—
694C4×Dic59—21no—
695C4×Dic59—21no—
696C4×Dic59C2×D411yescharacteristic
697C4×Dic59C2×D411yescharacteristic
698C4×Dic59C2411yescharacteristic
699C4×Dic59C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704D472—41no—
705D472—41no—
706#11745660—41no—
707#11745660—41no—
708#11745659—41no—
709C8×D59—41no—
710C8×D59—41no—
711C8×D59—41no—
712C23×C59—21no—
713C23×C59—21no—
714C23×C59—21no—
715C23×C59—21no—
716C23×C59—21no—
717C23×C59—42no—
718C23×C59—81no—
719C23×C59—81no—
720C23×C59—81no—
721C23×C59—81no—
722C23×C59—81no—
723C23×C59C22×D411yescharacteristic
724C22×D59—21no—
725C22×D59—21no—
726C22×D59—21no—
727C22×D59—42no—
728C22×D59—42no—
729C22×D59—42no—
730C22×D59—42no—
731C22×D59—81no—
732C22×D59—81no—
733C22×D59—81no—
734C22×D59—81no—
735C22×D59—81no—
736C22×D59—81no—
737C22×D59—81no—
738C22×D59—81no—
739C22×D59C22×D411yescharacteristic
740C22×D59C22×D411yescharacteristic
741Q8×C59—21no—
742Q8×C59—21no—
743D4×C59—21no—
744D4×C59—21no—
745D4×C59—21no—
746D4×C59—21no—
747D4×C59—21no—
748D4×C59—21no—
749D4×C59—21no—
750D4×C59—21no—
751D4×C59—21no—
752D4×C59—42no—
753D4×C59—81no—
754D4×C59—81no—
755D4×C59—81no—
756D4×C59—81no—
757D4×C59—81no—
758D4×C59—81no—
759D4×C59H(5,𝔽2)12yes—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—81no—
766C2×C4×C59—81no—
767C2×C4×C59—81no—
768C2×C4×C59—81no—
769C2×C4×C59—81no—
770C2×C4×C59C22×D411yescharacteristic
771C2×C4×C59C22×D411yescharacteristic
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C2511yescharacteristic
776C22⋊D59—22no—
777C22⋊D59—41no—
778C22⋊D59—42no—
779C22⋊D59—42no—
780C22⋊D59—42no—
781C22⋊D59—42no—
782C22⋊D59—42no—
783C22⋊D59—42no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C22⋊D59—81no—
788C22⋊D59—81no—
789C22⋊D59—81no—
790C22⋊D59—81no—
791C22⋊D59—81no—
792C22⋊D59—81no—
793C22⋊D59—81no—
794C22⋊D59—81no—
795C22⋊D59—81no—
796C22⋊D59—81no—
797C22⋊D59—81no—
798C22⋊D59—81no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—21no—
803C2×Dic59—21no—
804C2×Dic59—42no—
805C2×Dic59—42no—
806C2×Dic59—81no—
807C2×Dic59—81no—
808C2×Dic59—81no—
809C2×Dic59—81no—
810C2×Dic59C22×D411yescharacteristic
811C2×Dic59C22×D411yescharacteristic
812C2×Dic59C22×D411yescharacteristic
813C2×Dic59C22×D411yescharacteristic
814C2×Dic59C22×D411yescharacteristic
815C2×Dic59C22×D411yescharacteristic
816D236—22no—
817D236—21no—
818D236—21no—
819D236—21no—
820D236—21no—
821D236—21no—
822D236—21no—
823D236—81no—
824D236—81no—
825D236—81no—
826D236—81no—
827C4×D59—22no—
828C4×D59—21no—
829C4×D59—21no—
830C4×D59—21no—
831C4×D59—21no—
832C4×D59—41no—
833C4×D59—42no—
834C4×D59—81no—
835C4×D59—81no—
836C4×D59—81no—
837C4×D59—81no—
838C4×D59—81no—
839C4×D59—81no—
840Dic118—21no—
841Dic118—21no—
842Dic118—41no—
843Dic118—81no—
844C8×C59—21no—
845C8×C59—21no—
846C8×C59—21no—
847C8×C59—21no—
848C59⋊C8—21no—
849C59⋊C8—21no—
850C59⋊C8—21no—
851C59⋊C8—21no—
852#62007—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—22no—
855C22×C59—21no—
856C22×C59—21no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59—41no—
866C22×C59—41no—
867C22×C59—41no—
868C22×C59—41no—
869C22×C59—41no—
870C22×C59—41no—
871C22×C59—162no—
872C22×C59—162no—
873C22×C59C23×D411yescharacteristic
874C2×D59—21no—
875C2×D59—21no—
876C2×D59—21no—
877C2×D59—21no—
878C2×D59—21no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—41no—
882C2×D59—41no—
883C2×D59—41no—
884C2×D59—41no—
885C2×D59—41no—
886C2×D59—41no—
887C2×D59—41no—
888C2×D59—84no—
889C2×D59—162no—
890C2×D59—162no—
891C2×D59—162no—
892C2×D59#57612yes—
893C4×C59—21no—
894C4×C59—21no—
895C4×C59—21no—
896C4×C59—21no—
897C4×C59—21no—
898C4×C59—41no—
899C4×C59—41no—
900C4×C59—41no—
901C4×C59C2×H(5,𝔽2)11yescharacteristic
902C4×C59#58511yescharacteristic
903Dic59—21no—
904Dic59—21no—
905Dic59—21no—
906Dic59—21no—
907Dic59—21no—
908Dic59—21no—
909Dic59—41no—
910Dic59—41no—
911Dic59—41no—
912Dic59—41no—
913Dic59—41no—
914#3543—591no—
915#3513—591no—
916#3403—591no—
917#3399—591no—
918#3370—591no—
919#3366—591no—
920#3318—591no—
921#3310—591no—
922#3309—591no—
923#3306—591no—
924#3296—591no—
925#3294—591no—
926#3280—591no—
927D4×D8—591no—
928#3268—591no—
929#3264—591no—
930#3264—591no—
931#3264—591no—
932#3259—591no—
933#3257—591no—
934#3250—591no—
935#3224—591no—
936#3220—591no—
937#3217—591no—
938#3122—591no—
939#3119—591no—
940#3114—591no—
941#3045—591no—
942#3041D5911yescharacteristic, complemented
943C2×#459—591no—
944#2992—591no—
945C2×C59—42no—
946C2×C59—41no—
947C2×C59—81no—
948C2×C59—81no—
949C2×C59—81no—
950C2×C59—81no—
951C2×C59#348811yescharacteristic
952C2×C59C2×#57611yescharacteristic
953C2×C59#358511yescharacteristic
954D59—22no—
955D59—41no—
956D59—81no—
957D59—81no—
958D59—81no—
959C2×AGL(1,ℤ/8)—591no—
960C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
961C2×#135—591no—
962C22×D8—591no—
963C22×D8—591no—
964C22×D8C2×D5911yescharacteristic, complemented
965#560—1181no—
966#560—1181no—
967#559—591no—
968#559—591no—
969#554—591no—
970#553—591no—
971#553—1181no—
972#552—591no—
973#551—1181no—
974#551—1181no—
975#550—591no—
976#550—591no—
977#547—591no—
978#546—591no—
979#546—591no—
980#546—591no—
981#546—591no—
982#546—1181no—
983#546—1181no—
984D42—591no—
985D42—591no—
986D42—591no—
987D42—591no—
988D42—1181no—
989#542—591no—
990#540—591no—
991#540—591no—
992#540—591no—
993#540—1181no—
994#539—1181no—
995#538—1181no—
996#535—591no—
997#535—1181no—
998#535C2×D5911yescharacteristic, complemented
999#534—1181no—
1000#534—1181no—
1001C2×#127—591no—
1002#529—591no—
1003#529—591no—
1004#529—591no—
1005#525—1181no—
1006C2×#123—1181no—
1007#520—591no—
1008#518C2×D5911yescharacteristic, complemented
1009C2×C4×D4—591no—
1010#496—591no—
1011#496—591no—
1012#496—591no—
1013#496—591no—
1014#495—591no—
1015#493—591no—
1016#490—591no—
1017#490—591no—
1018#490—591no—
1019#489—591no—
1020#488—591no—
1021#486—591no—
1022#483—591no—
1023#482—591no—
1024#482—591no—
1025#481—591no—
1026#480—591no—
1027#480—591no—
1028#479—591no—
1029#479—591no—
1030#478—591no—
1031#478—591no—
1032#478—591no—
1033#478—591no—
1034#478—591no—
1035#478—591no—
1036#476—591no—
1037#474—591no—
1038#469—591no—
1039#469—591no—
1040#469—591no—
1041#468—591no—
1042#467—591no—
1043#466—591no—
1044#466—591no—
1045#466—591no—
1046#466—591no—
1047#465—591no—
1048#465—591no—
1049#465—591no—
1050#464—591no—
1051#464—591no—
1052#464—591no—
1053#463—591no—
1054#463—591no—
1055#463—591no—
1056#463—591no—
1057#463—591no—
1058#463C2×D5911yescharacteristic, complemented
1059#463C2×D5911yescharacteristic, complemented
1060#463C2×D5911yescharacteristic, complemented
1061#463C2×D5911yescharacteristic, complemented
1062#460—591no—
1063#460—591no—
1064#460—591no—
1065#459—591no—
1066#459—591no—
1067#459—591no—
1068#459—591no—
1069#459—591no—
1070#459—591no—
1071#459—591no—
1072#459—591no—
1073#459—591no—
1074#459—591no—
1075#459—591no—
1076#459C2×D5911yescharacteristic, complemented
1077#459C2×D5911yescharacteristic, complemented
1078#459C2×D5911yescharacteristic, complemented
1079#459C2×D5911yescharacteristic, complemented
1080#452—591no—
1081#450—591no—
1082#450—591no—
1083#450—591no—
1084#450—591no—
1085#449—591no—
1086#449—591no—
1087#449—591no—
1088#449—591no—
1089#449—591no—
1090#447—591no—
1091#447—591no—
1092#447—591no—
1093#447—591no—
1094#447—591no—
1095#447—591no—
1096#447—591no—
1097#447—591no—
1098#446—591no—
1099#446—591no—
1100#442—591no—
1101#442—591no—
1102#442—591no—
1103#442—591no—
1104#442—591no—
1105#440—591no—
1106#440—591no—
1107#440—591no—
1108C4×SD16—591no—
1109C4×D8—591no—
1110C4×D8—591no—
1111C4×D8—591no—
1112#435—591no—
1113#435—591no—
1114#435—591no—
1115#435—591no—
1116C8×D4—591no—
1117C8×D4—591no—
1118#433—591no—
1119#433—591no—
1120#432—591no—
1121#424—591no—
1122#424C2×D5911yescharacteristic, complemented
1123C2×C4⋊C8—591no—
1124#418C2×D5911yescharacteristic, complemented
1125#417—591no—
1126#416C2×D5911yescharacteristic, complemented
1127C2×#102—591no—
1128C2×#102—591no—
1129C2×#102—591no—
1130C59#6200711yescharacteristic, complemented, Sylow
1131C2×#41—591no—
1132C2×#41—591no—
1133C2×#41—1181no—
1134C2×#41—1181no—
1135C2×#41C22×D5911yescharacteristic
1136C22×D4—591no—
1137C22×D4—591no—
1138C22×D4—591no—
1139C22×D4—591no—
1140C22×D4—1181no—
1141C22×D4—1181no—
1142C22×D4—1181no—
1143C22×D4—1181no—
1144C22×D4—1181no—
1145C22×D4—1181no—
1146C22×D4C22×D5911yescharacteristic
1147C22×D4C22×D5911yescharacteristic
1148C23×C4—1181no—
1149AGL(1,ℤ/8)—42no—
1150AGL(1,ℤ/8)—2362no—
1151#135—2362no—
1152C2×Q16—591no—
1153C2×SD16—591no—
1154C2×SD16—591no—
1155C2×SD16—591no—
1156C2×SD16—591no—
1157C2×SD16—591no—
1158C2×SD16—591no—
1159C2×SD16C22×D5911yescharacteristic
1160C2×SD16C22×D5911yescharacteristic
1161C2×D8—42no—
1162C2×D8—591no—
1163C2×D8—591no—
1164C2×D8—591no—
1165C2×D8—591no—
1166C2×D8—591no—
1167C2×D8—591no—
1168C2×D8—591no—
1169C2×D8—591no—
1170C2×D8—591no—
1171C2×D8—2362no—
1172C2×D8—2362no—
1173C2×D8C22×D5911yescharacteristic
1174C2×D8C22×D5911yescharacteristic
1175C2×D8C22×D5911yescharacteristic
1176C2×D8C22×D5911yescharacteristic
1177C2×D8C22×D5911yescharacteristic
1178C2×D8C22×D5911yescharacteristic
1179C2×M16—591no—
1180C2×M16C22×D5911yescharacteristic
1181C22×C8—591no—
1182C22×C8—591no—
1183C22×C8—591no—
1184C22×C8C22×D5911yescharacteristic
1185C4⋊Q8—591no—
1186#127—591no—
1187#127—591no—
1188#127—591no—
1189#127—591no—
1190#127—591no—
1191#127—1181no—
1192#127—1181no—
1193#127—1181no—
1194#127C22×D5911yescharacteristic
1195#127C22×D5911yescharacteristic
1196#126—591no—
1197#126—591no—
1198#126—1181no—
1199#126—1181no—
1200#126—1181no—
1201#126—1181no—
1202#126—1181no—
1203#125—591no—
1204#125—591no—
1205#125—591no—
1206#125—591no—
1207#125—1181no—
1208#124—591no—
1209#124—591no—
1210#124—591no—
1211#124—591no—
1212#124—1181no—
1213#124—1181no—
1214#124—1181no—
1215#124C22×D5911yescharacteristic
1216#124C22×D5911yescharacteristic
1217#123—591no—
1218#123—591no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224#123—1181no—
1225#123—1181no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229#123—1181no—
1230#123—1181no—
1231#123—1181no—
1232#123—1181no—
1233#123—1181no—
1234#123—1181no—
1235#123—1181no—
1236#123—1181no—
1237#123—1181no—
1238#123—1181no—
1239#123—1181no—
1240C22⋊Q8—591no—
1241C22⋊Q8—591no—
1242C22⋊Q8—591no—
1243C22⋊Q8—591no—
1244C22⋊Q8—1181no—
1245C22⋊Q8—1181no—
1246C22⋊Q8—1181no—
1247C22⋊Q8—1181no—
1248C22⋊Q8—1181no—
1249#121—21no—
1250#121—21no—
1251#121—591no—
1252#121—591no—
1253#121—591no—
1254#121—591no—
1255#121—591no—
1256#121—591no—
1257#121—591no—
1258#121—591no—
1259#121—591no—
1260#121—591no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121—1181no—
1272#121—1181no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121—1181no—
1282#121—1181no—
1283#120—21no—
1284#120—21no—
1285#120—1181no—
1286#120—1181no—
1287#120—1181no—
1288#120—1181no—
1289#120—1181no—
1290#120—1181no—
1291#120—1181no—
1292#120—1181no—
1293#120—1181no—
1294#120—1181no—
1295#120—1181no—
1296#120—1181no—
1297#120—1181no—
1298#120—1181no—
1299C4×Q8—591no—
1300C4×Q8—591no—
1301C4×Q8—591no—
1302C4×Q8—591no—
1303C4×D4—21no—
1304C4×D4—21no—
1305C4×D4—591no—
1306C4×D4—591no—
1307C4×D4—591no—
1308C4×D4—591no—
1309C4×D4—591no—
1310C4×D4—591no—
1311C4×D4—591no—
1312C4×D4—591no—
1313C4×D4—591no—
1314C4×D4—591no—
1315C4×D4—591no—
1316C4×D4—591no—
1317C4×D4—1181no—
1318C4×D4—1181no—
1319C4×D4—1181no—
1320C4×D4—1181no—
1321C4×D4—1181no—
1322C4×D4—1181no—
1323C4×D4—1181no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4C22×D5911yescharacteristic
1328C4×D4C22×D5911yescharacteristic
1329C4×D4C22×D5911yescharacteristic
1330C4×D4C22×D5911yescharacteristic
1331#117—591no—
1332#117—1181no—
1333#117—1181no—
1334#117—1181no—
1335#117—1181no—
1336#117C22×D5911yescharacteristic
1337#117C22×D5911yescharacteristic
1338C2×C4⋊C4—591no—
1339C2×C4⋊C4—591no—
1340C2×C4⋊C4—1181no—
1341C2×C4⋊C4—1181no—
1342C2×C22⋊C4—21no—
1343C2×C22⋊C4—21no—
1344C2×C22⋊C4—1181no—
1345C2×C22⋊C4—1181no—
1346C2×C22⋊C4—1181no—
1347C2×C22⋊C4—1181no—
1348C2×C22⋊C4—1181no—
1349C2×C42—591no—
1350#107—591no—
1351#107—591no—
1352#107—591no—
1353#107—591no—
1354#106—591no—
1355#106—591no—
1356#106—591no—
1357#106—591no—
1358C4⋊C8—591no—
1359C4⋊C8—591no—
1360C4⋊C8—591no—
1361C4⋊C8—591no—
1362C4⋊C8—591no—
1363C4⋊C8—591no—
1364C4⋊C8C22×D5911yescharacteristic
1365C4⋊C8C22×D5911yescharacteristic
1366C4⋊C8C22×D5911yescharacteristic
1367C4⋊C8C22×D5911yescharacteristic
1368#103—591no—
1369#103—591no—
1370#103—591no—
1371#103—591no—
1372#103C22×D5911yescharacteristic
1373#103C22×D5911yescharacteristic
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102C22×D5911yescharacteristic
1395#102C22×D5911yescharacteristic
1396#102C22×D5911yescharacteristic
1397#102C22×D5911yescharacteristic
1398#102C22×D5911yescharacteristic
1399#102C22×D5911yescharacteristic
1400C22⋊C8—591no—
1401C22⋊C8—591no—
1402C22⋊C8—591no—
1403C22⋊C8—591no—
1404C22⋊C8—591no—
1405C22⋊C8—591no—
1406#97—591no—
1407#97—591no—
1408#97—591no—
1409#97—591no—
1410C4×C8—591no—
1411C4×C8—591no—
1412C24—21no—
1413C24—21no—
1414C24—1181no—
1415C24—1181no—
1416C24—1181no—
1417C24—1181no—
1418#41—41no—
1419#41—41no—
1420#41—1182no—
1421#41—4722no—
1422#41—4722no—
1423#41—2361no—
1424#41—2361no—
1425#41—2361no—
1426C2×Q8—591no—
1427C2×Q8—591no—
1428C2×Q8—1181no—
1429C2×Q8C23×D5911yescharacteristic
1430C2×D4—22no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—41no—
1439C2×D4—41no—
1440C2×D4—41no—
1441C2×D4—591no—
1442C2×D4—591no—
1443C2×D4—591no—
1444C2×D4—591no—
1445C2×D4—591no—
1446C2×D4—591no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—1181no—
1459C2×D4—1181no—
1460C2×D4—1181no—
1461C2×D4—1182no—
1462C2×D4—1181no—
1463C2×D4—1181no—
1464C2×D4—1181no—
1465C2×D4—1181no—
1466C2×D4—1181no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1181no—
1471C2×D4—1181no—
1472C2×D4—1181no—
1473C2×D4—4722no—
1474C2×D4—4722no—
1475C2×D4—4722no—
1476C2×D4—4722no—
1477C2×D4—4722no—
1478C2×D4—4722no—
1479C2×D4—2361no—
1480C2×D4—2361no—
1481C2×D4—2361no—
1482C2×D4—2361no—
1483C2×D4—2361no—
1484C2×D4—2361no—
1485C2×D4—2361no—
1486C2×D4C23×D5911yescharacteristic
1487C2×D4C23×D5911yescharacteristic
1488C2×D4C23×D5911yescharacteristic
1489C2×D4C23×D5911yescharacteristic
1490C2×D4C23×D5911yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—591no—
1497C22×C4—591no—
1498C22×C4—591no—
1499C22×C4—591no—
1500C22×C4—1181no—
1501C22×C4—1181no—
1502C22×C4—1181no—
1503C22×C4—1181no—
1504C22×C4—1181no—
1505C22×C4—1181no—
1506C22×C4—1181no—
1507C22×C4—1181no—
1508C22×C4—1181no—
1509C22×C4—1181no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—1181no—
1513C22×C4—4722no—
1514C22×C4C23×D5911yescharacteristic
1515Q16—2361no—
1516SD16—22no—
1517SD16—41no—
1518SD16—2361no—
1519SD16—2361no—
1520SD16—2361no—
1521SD16—2361no—
1522SD16—2361no—
1523SD16—2361no—
1524D8—22no—
1525D8—22no—
1526D8—22no—
1527D8—41no—
1528D8—41no—
1529D8—41no—
1530D8—1182no—
1531D8—1182no—
1532D8—2361no—
1533D8—2361no—
1534D8—2361no—
1535D8—2361no—
1536D8—2361no—
1537D8—2361no—
1538D8—2361no—
1539M16—41no—
1540M16—2361no—
1541C2×C8—41no—
1542C2×C8—591no—
1543C2×C8—591no—
1544C2×C8—591no—
1545C2×C8—591no—
1546C2×C8—2361no—
1547C2×C8—2361no—
1548C2×C8—2361no—
1549C2×C8C23×D5911yescharacteristic
1550C2×C8C23×D5911yescharacteristic
1551C2×C8C23×D5911yescharacteristic
1552C2×C8C23×D5911yescharacteristic
1553C4⋊C4—591no—
1554C4⋊C4—591no—
1555C4⋊C4—591no—
1556C4⋊C4—591no—
1557C4⋊C4—591no—
1558C4⋊C4—591no—
1559C4⋊C4—591no—
1560C4⋊C4—591no—
1561C4⋊C4—591no—
1562C4⋊C4—591no—
1563C4⋊C4—591no—
1564C4⋊C4—591no—
1565C4⋊C4—1181no—
1566C4⋊C4—1181no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4D4×D5911yescharacteristic
1581C4⋊C4D4×D5911yescharacteristic
1582C4⋊C4C23×D5911yescharacteristic
1583C4⋊C4C23×D5911yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—591no—
1594C22⋊C4—591no—
1595C22⋊C4—591no—
1596C22⋊C4—591no—
1597C22⋊C4—591no—
1598C22⋊C4—591no—
1599C22⋊C4—591no—
1600C22⋊C4—591no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
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—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4D4×D5911yescharacteristic
1629C22⋊C4D4×D5911yescharacteristic
1630C42—21no—
1631C42—591no—
1632C42—591no—
1633C42—591no—
1634C42—591no—
1635C42—1181no—
1636C42—1181no—
1637C42—1181no—
1638C42C23×D5911yescharacteristic
1639C42C23×D5911yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—42no—
1646C23—81no—
1647C23—81no—
1648C23—81no—
1649C23—81no—
1650C23—81no—
1651C23—591no—
1652C23—591no—
1653C23—1181no—
1654C23—1181no—
1655C23—1181no—
1656C23—4721no—
1657C23—4721no—
1658C23—4721no—
1659C23—4721no—
1660C23—4721no—
1661C23—4721no—
1662C23—4721no—
1663C23—4721no—
1664C23—2362no—
1665C23—2362no—
1666C23—2362no—
1667C23—2362no—
1668C23C2×D4×D5911yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—1181no—
1672Q8—1181no—
1673Q8—4721no—
1674Q8—2361no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—42no—
1685D4—81no—
1686D4—81no—
1687D4—81no—
1688D4—81no—
1689D4—81no—
1690D4—81no—
1691D4—1182no—
1692D4—1182no—
1693D4—1181no—
1694D4—1181no—
1695D4—1181no—
1696D4—1181no—
1697D4—1181no—
1698D4—1181no—
1699D4—4721no—
1700D4—4721no—
1701D4—4721no—
1702D4—4721no—
1703D4—4721no—
1704D4—4721no—
1705D4—4721no—
1706D4—4721no—
1707D4—4721no—
1708D4—4721no—
1709D4—4721no—
1710D4—4721no—
1711D4—4721no—
1712D4—4721no—
1713D4—4721no—
1714D4—4721no—
1715D4—4721no—
1716D4—4721no—
1717D4—4721no—
1718D4—2361no—
1719D4—2362no—
1720D4—2362no—
1721D4—2362no—
1722D4—2362no—
1723D4—2362no—
1724D4—2362no—
1725D4#1427377212yes—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—81no—
1732C2×C4—81no—
1733C2×C4—81no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—591no—
1737C2×C4—591no—
1738C2×C4—591no—
1739C2×C4—591no—
1740C2×C4—591no—
1741C2×C4—591no—
1742C2×C4—1182no—
1743C2×C4—1181no—
1744C2×C4—1181no—
1745C2×C4—1181no—
1746C2×C4—1181no—
1747C2×C4—1181no—
1748C2×C4—1181no—
1749C2×C4—1181no—
1750C2×C4—1181no—
1751C2×C4—1181no—
1752C2×C4—4721no—
1753C2×C4—4721no—
1754C2×C4—4721no—
1755C2×C4—4721no—
1756C2×C4—4721no—
1757C2×C4—4721no—
1758C2×C4—4721no—
1759C2×C4—4721no—
1760C2×C4—4721no—
1761C2×C4—4721no—
1762C2×C4—2361no—
1763C2×C4—2362no—
1764C2×C4—2362no—
1765C2×C4—2362no—
1766C2×C4C2×D4×D5911yescharacteristic
1767C2×C4C2×D4×D5911yescharacteristic
1768C2×C4C2×D4×D5911yescharacteristic
1769C2×C4C2×D4×D5911yescharacteristic
1770C2×C4C2×D4×D5911yescharacteristic
1771C2×C4C24×D5911yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1181no—
1777C8—1181no—
1778C8—1181no—
1779C8—1181no—
1780C22—21no—
1781C22—22no—
1782C22—21no—
1783C22—21no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—162no—
1799C22—162no—
1800C22—592no—
1801C22—1181no—
1802C22—1181no—
1803C22—1181no—
1804C22—1181no—
1805C22—1181no—
1806C22—9442no—
1807C22—9442no—
1808C22—9442no—
1809C22—4724no—
1810C22—2361no—
1811C22—2361no—
1812C22—2361no—
1813C22—2361no—
1814C22—2361no—
1815C22—2361no—
1816C22—2361no—
1817C22—2361no—
1818C22—2361no—
1819C22C22×D4×D5911yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—1181no—
1829C4—1181no—
1830C4—1181no—
1831C4—1181no—
1832C4—1181no—
1833C4—1181no—
1834C4—2361no—
1835C4—2361no—
1836C4—2361no—
1837C4—2361no—
1838C4—2361no—
1839C4C2×#1427377211yescharacteristic
1840C4#1683823811yescharacteristic
1841C2—41no—
1842C2—42no—
1843C2—81no—
1844C2—81no—
1845C2—81no—
1846C2—81no—
1847C2—1182no—
1848C2—4721no—
1849C2—4721no—
1850C2—4721no—
1851C2—2361no—
1852C2#2143776111yescharacteristic
1853C2#576×D5911yescharacteristic
1854C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3041C2
socleC22×C59C23×D4
hypercenter#3041D59
hypocenterC59#62007
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3041

Complements

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

NH ≅ G/Ntype
1. #21438422C2semidirect
2. #21438024C2semidirect
3. #21437184C2semidirect
4. #21437141C2semidirect
5. #21436846C2semidirect
6. #21436807C2semidirect
7. #21436238C2semidirect
8. #21436118C2semidirect
9. #21436098C2semidirect
10. #21436064C2semidirect
11. #21435932C2semidirect
12. #21435912C2semidirect
13. #21435776C2semidirect
14. D8×C22⋊D59C2semidirect
15. #21435630C2semidirect
16. #21435576C2semidirect
17. #21435571C2semidirect
18. #21435570C2semidirect
19. #21435533C2semidirect
20. #21435509C2semidirect
21. #21435445C2semidirect
22. #21435190C2semidirect
23. #21435143C2semidirect
24. #21435113C2semidirect
25. #21434339C2semidirect
26. #21434292C2semidirect
27. #21434233C2semidirect
28. #21433636C2semidirect
29. #459×D59C2semidirect
30. #21433233C2semidirect
31. C59×#3041C2semidirect
32. C2×#14273751C22semidirect
33. C2×#14273748C22semidirect
34. C2×D8×D59C22semidirect
35. C2×D8×D59C22semidirect
38. #16838135C22semidirect
39. #16838134C22semidirect
40. #16838109C22semidirect
42. #16838096C22semidirect
43. #16838091C22semidirect
46. #16838072C22semidirect
47. #16838071C22semidirect
48. #16838057C22semidirect
49. #16838047C22semidirect
50. #16838046C22semidirect
51. #16838045C22semidirect
55. #16838037C22semidirect
57. D4×C22⋊D59C22semidirect
58. D4×C22⋊D59C22semidirect
60. #16838023C22semidirect
61. #16838007C22semidirect
62. #16838006C22semidirect
63. #16838003C22semidirect
67. #16837970C22semidirect
71. #127×D59C22semidirect
72. #16837934C22semidirect
73. #16837931C22semidirect
77. #16837881C22semidirect
78. C4×D4×D59C22semidirect
79. #16837790C22semidirect
80. #16837790C22semidirect
81. #16837789C22semidirect
82. #16837788C22semidirect
83. #16837784C22semidirect
84. #16837777C22semidirect
85. #16837765C22semidirect
86. #16837765C22semidirect
87. #16837765C22semidirect
88. #16837761C22semidirect
89. #16837758C22semidirect
90. #16837748C22semidirect
91. #16837731C22semidirect
92. #16837726C22semidirect
93. #16837726C22semidirect
94. #16837719C22semidirect
95. #16837714C22semidirect
96. #16837714C22semidirect
97. #16837711C22semidirect
98. #16837710C22semidirect
99. #16837704C22semidirect
100. #16837704C22semidirect
101. #16837703C22semidirect
102. #16837702C22semidirect
103. #16837702C22semidirect
104. #16837700C22semidirect
105. #16837693C22semidirect
106. #16837683C22semidirect
107. #16837655C22semidirect
108. #16837654C22semidirect
109. #16837652C22semidirect
110. #16837648C22semidirect
111. #16837642C22semidirect
112. #16837638C22semidirect
113. #16837637C22semidirect
115. #16837635C22semidirect
116. #16837631C22semidirect
117. #16837630C22semidirect
118. #16837628C22semidirect
119. #16837627C22semidirect
120. #16837622C22semidirect
121. #16837621C22semidirect
122. #16837619C22semidirect
123. #16837618C22semidirect
124. #16837618C22semidirect
125. #16837615C22semidirect
126. #16837614C22semidirect
127. #16837603C22semidirect
128. #16837601C22semidirect
129. #16837599C22semidirect
130. #16837598C22semidirect
131. #16837597C22semidirect
132. #16837597C22semidirect
133. #16837596C22semidirect
134. #16837596C22semidirect
136. #16837595C22semidirect
137. #16837595C22semidirect
138. #16837595C22semidirect
139. #16837595C22semidirect
140. #16837594C22semidirect
141. #16837564C22semidirect
142. #16837554C22semidirect
143. #16837554C22semidirect
144. #16837553C22semidirect
145. #16837551C22semidirect
146. #16837550C22semidirect
147. #16837547C22semidirect
148. #16837546C22semidirect
149. #16837544C22semidirect
150. #16837544C22semidirect
151. #16837537C22semidirect
152. #16837536C22semidirect
153. #16837536C22semidirect
154. #16837536C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837531C22semidirect
160. #16837529C22semidirect
161. #16837514C22semidirect
162. #16837514C22semidirect
163. #16837512C22semidirect
164. #16837512C22semidirect
165. #16837511C22semidirect
166. #16837505C22semidirect
167. #16837503C22semidirect
168. #16837499C22semidirect
169. #16837493C22semidirect
170. D8×Dic59C22semidirect
171. C4×#11745669C22semidirect
172. C4×#11745669C22semidirect
173. #16837473C22semidirect
174. #16837472C22semidirect
175. #16837471C22semidirect
176. #16837471C22semidirect
177. #16837467C22semidirect
178. C8×C22⋊D59C22semidirect
179. #16837463C22semidirect
180. #16837462C22semidirect
181. #16837458C22semidirect
182. #16837427C22semidirect
183. C4⋊C8×D59C22semidirect
184. #16837402C22semidirect
185. #102×D59C22semidirect
186. #102×D59C22semidirect
187. #102×D59C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C22×D8×C59C22semidirect
190. C59×#535C22semidirect
191. C59×#518C22semidirect
192. C59×#463C22semidirect
193. C59×#463C22semidirect
194. C59×#463C22semidirect
195. C59×#463C22semidirect
196. C59×#459C22semidirect
197. C59×#459C22semidirect
198. C59×#459C22semidirect
199. C59×#459C22semidirect
200. C59×#424C22semidirect
201. C59×#418C22semidirect
202. C59×#416C22semidirect
942. #3041D59semidirect
960. C2×AGL(1,ℤ/8)C2×D59semidirect
964. C22×D8C2×D59semidirect
998. #535C2×D59semidirect
1008. #518C2×D59semidirect
1058. #463C2×D59semidirect
1059. #463C2×D59semidirect
1060. #463C2×D59semidirect
1061. #463C2×D59semidirect
1076. #459C2×D59semidirect
1077. #459C2×D59semidirect
1078. #459C2×D59semidirect
1079. #459C2×D59semidirect
1122. #424C2×D59semidirect
1124. #418C2×D59semidirect
1126. #416C2×D59semidirect
1130. C59#62007semidirect

Maximal subgroups

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

subgroupindex
#214384222
#214380242
#214371842
#214371412
#214368462
#214368072
#214362382
#214361182
#214360982
#214360642
#214359322
#214359122
#214357762
D8×C22⋊D592
#214356302
#214355762
#214355712
#214355702
#214355332
#214355092
#214354452
#214351902
#214351432
#214351132
#214343392
#214342922
#214342332
#214336362
#459×D592
#214332332
C59×#30412
#6200759