Finite Group Databasebeta

← #29481152

Subgroups — #29481152

Order 15104.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437964C211yesmaximal, characteristic, complemented
2#21437659C211yesmaximal, characteristic, complemented
3#21437169C211yesmaximal, characteristic, complemented
4#21437161C211yesmaximal, characteristic, complemented
5#21436854C211yesmaximal, characteristic, complemented
6#21436846C211yesmaximal, characteristic, complemented
7#21436318C211yesmaximal, characteristic, complemented
8#21436316C211yesmaximal, characteristic, complemented
9#21436254C211yesmaximal, characteristic, complemented
10#21436252C211yesmaximal, characteristic, complemented
11#21436228C211yesmaximal, characteristic, complemented
12#21436226C211yesmaximal, characteristic, complemented
13#21435701C211yesmaximal, characteristic, complemented
14#21435700C211yesmaximal, characteristic, complemented
15#21435640C211yesmaximal, characteristic, complemented
16#21435636C211yesmaximal, characteristic, complemented
17#21435622C211yesmaximal, characteristic, complemented
18#21435480C211yesmaximal, characteristic, complemented
19#21435464C211yesmaximal, characteristic, complemented
20#21435417C211yesmaximal, characteristic, complemented
21#21435117C211yesmaximal, characteristic, complemented
22#21435102C211yesmaximal, characteristic, complemented
23#21435075C211yesmaximal, characteristic, complemented
24#21434251C211yesmaximal, characteristic, complemented
25#21434185C211yesmaximal, characteristic, complemented
26#21434149C211yesmaximal, characteristic, complemented
27#21433574C211yesmaximal, characteristic, complemented
28#21433558C211yesmaximal, characteristic, complemented
29#21433547C211yesmaximal, characteristic, complemented
30#21433208C211yesmaximal, characteristic, complemented
31C59×#3267C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic, complemented
33C2×#14273752C2211yescharacteristic
34C2×#14273751C2211yescharacteristic, complemented
35C2×#14273747C2211yescharacteristic, complemented
36#16838136—21no—
37#16838135C2211yescharacteristic, complemented
38#16838134C2211yescharacteristic, complemented
39#16838126C2211yescharacteristic, complemented
40#16838117C2211yescharacteristic
41#16838109C2211yescharacteristic, complemented
42#16838104—21no—
43#16838087—21no—
44#16838086C2211yescharacteristic
45#16838086C2211yescharacteristic, complemented
46#16838075—21no—
47#16838075—21no—
48#16838071C2211yescharacteristic
49#16838070—21no—
50#16838070C2211yescharacteristic
51#16838048C2211yescharacteristic, complemented
52#16838046C2211yescharacteristic
53#16838043C2211yescharacteristic
54#16838042—21no—
55#16838040C2211yescharacteristic
56#16838040C2211yescharacteristic, complemented
57#16838039—21no—
58#16838004—21no—
59#16838002—21no—
60#16837967—21no—
61#16837957C2211yescharacteristic, complemented
62#16837954C2211yescharacteristic, complemented
63#16837951C2211yescharacteristic
64#16837949C2211yescharacteristic
65#16837948C2211yescharacteristic, complemented
66#16837947C2211yescharacteristic, complemented
67C2×#14273723C2211yescharacteristic, complemented
68#16837938C2211yescharacteristic
69#16837938C2211yescharacteristic, complemented
70#16837929—21no—
71#16837929—21no—
72#16837912—21no—
73#16837875—21no—
74#41×Dic59C2211yescharacteristic
75#41×Dic59C2211yescharacteristic, complemented
76C4×#11745687C2211yescharacteristic
77C4×D4×D59C2211yescharacteristic, complemented
78C2×#14273685—21no—
79#16837794C2211yescharacteristic, complemented
80#16837788C2211yescharacteristic
81#16837788C2211yescharacteristic
82#16837787C2211yescharacteristic, complemented
83#16837783C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837762C2211yescharacteristic, complemented
87#16837761C2211yescharacteristic, complemented
88#16837758C2211yescharacteristic, complemented
89#16837755C2211yescharacteristic, complemented
90#16837744C2211yescharacteristic, complemented
91#16837740C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837723C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837719C2211yescharacteristic, complemented
96#16837712C2211yescharacteristic, complemented
97#16837711C2211yescharacteristic, complemented
98#16837701C2211yescharacteristic, complemented
99#16837700C2211yescharacteristic, complemented
100#16837695C2211yescharacteristic, complemented
101#16837695C2211yescharacteristic, complemented
102#16837691C2211yescharacteristic, complemented
103#16837690C2211yescharacteristic, complemented
104#16837683C2211yescharacteristic, complemented
105#16837682C2211yescharacteristic, complemented
106#16837658C2211yescharacteristic, complemented
107#16837651C2211yescharacteristic, complemented
108#16837651C2211yescharacteristic, complemented
109#16837650C2211yescharacteristic
110#16837648C2211yescharacteristic
111#16837645C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837638C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic, complemented
115#16837633C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837626C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837622C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837617C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic, complemented
127#16837610C2211yescharacteristic, complemented
128#16837610C2211yescharacteristic, complemented
129#16837606C2211yescharacteristic, complemented
130#16837605C2211yescharacteristic, complemented
131#16837604C2211yescharacteristic, complemented
132#16837600C2211yescharacteristic, complemented
133#16837600C2211yescharacteristic, complemented
134#16837600C2211yescharacteristic, complemented
135#16837600C2211yescharacteristic, complemented
136#16837600C2211yescharacteristic, complemented
137#16837600C2211yescharacteristic, complemented
138#16837596C2211yescharacteristic
139#16837596C2211yescharacteristic
140#16837595C2211yescharacteristic
141#16837595C2211yescharacteristic
142#16837595C2211yescharacteristic
143#16837595C2211yescharacteristic
144#16837564C2211yescharacteristic
145#16837563C2211yescharacteristic, complemented
146#16837563C2211yescharacteristic, complemented
147#16837562C2211yescharacteristic, complemented
148#16837561C2211yescharacteristic, complemented
149#16837561C2211yescharacteristic, complemented
150#16837552C2211yescharacteristic, complemented
151#16837549C2211yescharacteristic, complemented
152#16837547C2211yescharacteristic, complemented
153#16837547C2211yescharacteristic, complemented
154#16837538C2211yescharacteristic
155#16837537C2211yescharacteristic, complemented
156#16837536C2211yescharacteristic
157#16837534C2211yescharacteristic, complemented
158#16837531C2211yescharacteristic, complemented
159#16837530C2211yescharacteristic, complemented
160#16837515C2211yescharacteristic, complemented
161#16837512C2211yescharacteristic, complemented
162#16837512C2211yescharacteristic, complemented
163#16837509C2211yescharacteristic, complemented
164#16837506C2211yescharacteristic, complemented
165#16837503C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic, complemented
167SD16×Dic59C2211yescharacteristic, complemented
168#16837487C2211yescharacteristic, complemented
169D8×Dic59C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic
172#16837477C2211yescharacteristic
173#16837474C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837452C2211yescharacteristic, complemented
179#16837425C2211yescharacteristic, complemented
180#16837424C2211yescharacteristic, complemented
181C2×Dic59⋊C8C2211yescharacteristic, complemented
182#16837408C2211yescharacteristic, complemented
183#16837407C2211yescharacteristic, complemented
184#16837402C2211yescharacteristic, complemented
185#16837400C2211yescharacteristic, complemented
186#16837399C2211yescharacteristic, complemented
187#16837398C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
189C2×#135×C59C2211yescharacteristic, complemented
190C59×#547C2211yescharacteristic
191C59×#546C2211yescharacteristic, complemented
192C59×#497C2211yescharacteristic, complemented
193C59×#470C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic
198C59×#452C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C59×#442C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×#11745687D411yescharacteristic
208C2×#11745687C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×C22⋊D59—21no—
211C22×C22⋊D59—21no—
212C2×D4×D59C2311yescharacteristic
213C22×C4×D59—21no—
214#14273754—42no—
215#14273752—42no—
216#14273751—42no—
217#14273747—42no—
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×D472C2311yescharacteristic
228C2×D472C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745664C2311yescharacteristic
234C2×#11745659C2311yescharacteristic
235C2×#11745659C2311yescharacteristic
236C22×C59⋊C8C2311yescharacteristic
237#14273727C2311yescharacteristic
238#14273726C2311yescharacteristic
239#14273725C2311yescharacteristic
240#14273723—21no—
241#14273723—21no—
242#14273723—21no—
243#14273723—21no—
244#14273723C2311yescharacteristic
245#14273723C2311yescharacteristic
246#14273723C2311yescharacteristic
247#14273723C2311yescharacteristic
248#14273722—21no—
249#14273722—21no—
250#14273722—21no—
251#14273722—21no—
252#14273720—21no—
253#14273720—21no—
254#14273718—21no—
255#14273718C2311yescharacteristic
256#14273718C2311yescharacteristic
257#14273717—21no—
258#14273717—21no—
259#14273717—21no—
260#14273716C2311yescharacteristic
261#14273716C2311yescharacteristic
262#14273716C2311yescharacteristic
263#14273715C2311yescharacteristic
264#14273714C2311yescharacteristic
265#14273713—21no—
266#14273713—21no—
267#14273713—21no—
268#14273713—21no—
269#14273713—21no—
270#14273713—21no—
271#14273712—21no—
272#14273712—21no—
273#14273711—21no—
274#14273711—21no—
275#14273711—21no—
276#14273710—21no—
277#14273710—21no—
278#14273710—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709—21no—
282#14273709—21no—
283#14273708—21no—
284#14273707—21no—
285#14273707—21no—
286#14273706—21no—
287#14273706C2311yescharacteristic
288#14273704—21no—
289#14273704—21no—
290#14273704—21no—
291#14273703C2311yescharacteristic
292#14273703C2311yescharacteristic
293#14273702—21no—
294#14273702C2311yescharacteristic
295#14273701—21no—
296#14273701C2311yescharacteristic
297#14273701C2311yescharacteristic
298#14273701C2311yescharacteristic
299#14273700—21no—
300#14273700—21no—
301#14273700—21no—
302#14273700—21no—
303#14273700—21no—
304#14273699—21no—
305#14273699—21no—
306#14273699—21no—
307#14273699—21no—
308#14273699—21no—
309#14273699—21no—
310#14273699—21no—
311#14273698—21no—
312#14273698—21no—
313#14273698C2311yescharacteristic
314#14273697—21no—
315#14273696—21no—
316#14273695—21no—
317#14273695—21no—
318#14273695—21no—
319Q8×Dic59C2311yescharacteristic
320Q8×Dic59C2311yescharacteristic
321Q8×Dic59C2311yescharacteristic
322Q8×Dic59C2311yescharacteristic
323Q8×Dic59C2311yescharacteristic
324C4×Dic118C2311yescharacteristic
325#14273692—21no—
326#14273692—21no—
327#14273692D411yescharacteristic
328#14273692C2311yescharacteristic
329C4×D236C2311yescharacteristic
330C4×D236C2311yescharacteristic
331D4×Dic59—21no—
332D4×Dic59—21no—
333D4×Dic59—21no—
334D4×Dic59—21no—
335D4×Dic59D411yescharacteristic
336D4×Dic59C2311yescharacteristic
337D4×Dic59C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340#14273689C2311yescharacteristic
341#14273689C2311yescharacteristic
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59C2311yescharacteristic
349C4×C22⋊D59C2311yescharacteristic
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4D411yescharacteristic
359(C22⋊D59)⋊C4D411yescharacteristic
360#14273686—21no—
361#14273686—21no—
362#14273686C2311yescharacteristic
363#14273686C2311yescharacteristic
364#14273685—21no—
365#14273685—21no—
366#14273685—21no—
367#14273685—21no—
368#14273685—21no—
369#14273685—21no—
370#14273685—21no—
371#14273685D411yescharacteristic
372#14273683—21no—
373#14273683D411yescharacteristic
374#14273683D411yescharacteristic
375C2×C4⋊Dic59—21no—
376C4⋊C4×D59C2311yescharacteristic
377C2×C22⋊Dic59—21no—
378C2×(C2×D59)⋊C4—21no—
379C2×(C2×D59)⋊C4—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C22⋊C4×D59—21no—
383C2×C4×Dic59—21no—
384C2×C4×Dic59—21no—
385C2×C4×Dic59C2311yescharacteristic
386C2×C4×Dic59C2311yescharacteristic
387C42×D59C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434#14273638C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C2×#41×C59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C22×D4×C59C2311yescharacteristic
443AGL(1,ℤ/8)×C59—42no—
444#135×C59—42no—
445C2×Q16×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456C4⋊Q8×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#123×C59—21no—
459#123×C59—21no—
460#123×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463C22⋊Q8×C59C2311yescharacteristic
464#121×C59—21no—
465#121×C59—21no—
466#121×C59C2311yescharacteristic
467#120×C59—21no—
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471C2×C4⋊C4×C59—21no—
472C2×C22⋊C4×C59—21no—
473#106×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487#41×C59—22no—
488#41×C59—22no—
489#41×C59—41no—
490#41×C59—41no—
491#41×C59—41no—
492#41×C59—41no—
493C2×Q8×C59C2411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×Q8×C59C2411yescharacteristic
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×C59C2×D411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59C2411yescharacteristic
513C22×C4×C59C2411yescharacteristic
514C2×C22⋊D59—21no—
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—44no—
530C2×C22⋊D59—82no—
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59C2×D411yescharacteristic
539C22×Dic59C2×D411yescharacteristic
540C22×Dic59C2×D411yescharacteristic
541C22×Dic59C2×D411yescharacteristic
542#11745689—41no—
543#11745689—41no—
544#11745687—41no—
545#11745687—41no—
546#11745687—42no—
547#11745687—82no—
548D4×D59—22no—
549D4×D59—41no—
550#11745685—41no—
551#11745685—41no—
552#11745685—82no—
553C2×D236—21no—
554C2×D236—21no—
555C2×D236—21no—
556C2×D236—41no—
557C2×D236—41no—
558C2×D236C2411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×D236C2411yescharacteristic
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—44no—
569C2×C4×D59C2×D411yescharacteristic
570C2×C4×D59C2×D411yescharacteristic
571C2×C4×D59C2411yescharacteristic
572C2×Dic118—21no—
573C2×Dic118—21no—
574C2×Dic118C2×D411yescharacteristic
575C2×Dic118C2411yescharacteristic
576Q16×C59—41no—
577Q16×C59—41no—
578SD16×C59—22no—
579SD16×C59—41no—
580SD16×C59—41no—
581SD16×C59—41no—
582SD16×C59—41no—
583D8×C59—22no—
584D8×C59—22no—
585M16×C59—41no—
586C2×C8×C59—41no—
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C2×C8×C59C2411yescharacteristic
590C2×C8×C59C2411yescharacteristic
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59—21no—
594C4⋊C4×C59—21no—
595C4⋊C4×C59—21no—
596C4⋊C4×C59C2×D411yescharacteristic
597C4⋊C4×C59C2411yescharacteristic
598C4⋊C4×C59C2411yescharacteristic
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59C2×D411yescharacteristic
608C22⋊C4×C59C2×D411yescharacteristic
609C42×C59C2411yescharacteristic
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59C2×D411yescharacteristic
621C22⋊Dic59C2×D411yescharacteristic
622#11745672—41no—
623#11745672—41no—
624#11745671—41no—
625#11745671—41no—
626#11745671—41no—
627#11745671—41no—
628#11745671—41no—
629#11745670—22no—
630#11745669—22no—
631#11745669—22no—
632#11745669—41no—
633#11745669—41no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59C2×D411yescharacteristic
663C4⋊Dic59C2411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2×D411yescharacteristic
693C4×Dic59C2×D411yescharacteristic
694C4×Dic59C2×D411yescharacteristic
695C4×Dic59C2411yescharacteristic
696C4×Dic59C2411yescharacteristic
697C4×Dic59C2411yescharacteristic
698#11745664—41no—
699C2×C59⋊C8—41no—
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704D472—41no—
705D472—41no—
706#11745660—41no—
707#11745659—41no—
708#11745659—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—42no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59C22×D411yescharacteristic
716C23×C59C22×D411yescharacteristic
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—42no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59C22×D411yescharacteristic
727Q8×C59—21no—
728Q8×C59—21no—
729Q8×C59—21no—
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—41no—
739D4×C59—42no—
740D4×C59—42no—
741D4×C59—81no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59H(5,𝔽2)12yes—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—42no—
755C2×C4×C59—42no—
756C2×C4×C59—42no—
757C2×C4×C59—81no—
758C2×C4×C59—81no—
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C2511yescharacteristic
764C22⋊D59—41no—
765C22⋊D59—41no—
766C22⋊D59—42no—
767C22⋊D59—42no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—42no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C2×Dic59—22no—
782C2×Dic59—22no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—41no—
789C2×Dic59—41no—
790C2×Dic59—42no—
791C2×Dic59—81no—
792C2×Dic59—81no—
793C2×Dic59—81no—
794C2×Dic59—81no—
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802D236—21no—
803D236—21no—
804D236—21no—
805D236—21no—
806D236—21no—
807D236—21no—
808D236—81no—
809D236—81no—
810D236—81no—
811C4×D59—21no—
812C4×D59—21no—
813C4×D59—22no—
814C4×D59—41no—
815C4×D59—42no—
816C4×D59—42no—
817C4×D59—42no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822Dic118—21no—
823Dic118—21no—
824Dic118—41no—
825Dic118—42no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#61968—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—22no—
839C22×C59—21no—
840C22×C59—21no—
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—162no—
852C22×C59C23×D411yescharacteristic
853C2×D59—21no—
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—84no—
866C2×D59—162no—
867C4×C59—21no—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59C2×H(5,𝔽2)11yescharacteristic
877C4×C59#58511yescharacteristic
878Dic59—21no—
879Dic59—21no—
880Dic59—21no—
881Dic59—21no—
882Dic59—21no—
883Dic59—21no—
884Dic59—41no—
885Dic59—41no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59#57512yes—
890#3508—591no—
891#3475—591no—
892#3401—591no—
893#3401—591no—
894#3370—591no—
895#3370—591no—
896#3323—591no—
897#3323—591no—
898#3319—591no—
899#3319—591no—
900#3317—591no—
901#3317—591no—
902#3273—591no—
903#3273—591no—
904#3268—591no—
905#3268—591no—
906#3267—591no—
907#3267D5911yescharacteristic, complemented
908#3254—591no—
909#3252—591no—
910#3247—591no—
911#3217—591no—
912#3216—591no—
913#3212—591no—
914#3116—591no—
915#3109—591no—
916#3106—591no—
917#3038—591no—
918#3036—591no—
919#3035—591no—
920#2989—591no—
921C2×C59—42no—
922C2×C59—41no—
923C2×C59—41no—
924C2×C59—81no—
925C2×C59—81no—
926C2×C59#348811yescharacteristic
927C2×C59C2×#57511yescharacteristic
928C2×C59#358511yescharacteristic
929D59—41no—
930D59—81no—
931D59—81no—
932D59—81no—
933C2×AGL(1,ℤ/8)—591no—
934C2×AGL(1,ℤ/8)—591no—
935C2×AGL(1,ℤ/8)—591no—
936C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
937C2×#135—591no—
938C2×#135C2×D5911yescharacteristic, complemented
939#559—591no—
940#559—591no—
941#559—1181no—
942#556—591no—
943#555—591no—
944#554—591no—
945#553—1181no—
946#552—591no—
947#552—591no—
948#552—1181no—
949#551—1181no—
950#551—1181no—
951#550—591no—
952#550—591no—
953#550—1181no—
954#547C2×D5911yescharacteristic
955#546—591no—
956#546—591no—
957#546—591no—
958#546—591no—
959#546—591no—
960#546—1181no—
961#546—1181no—
962#546C2×D5911yescharacteristic, complemented
963#540—1181no—
964#540—1181no—
965#535—1181no—
966#533—591no—
967#533—591no—
968#532—591no—
969#532—591no—
970#532—591no—
971#532—591no—
972C2×#127—591no—
973#529—591no—
974#529—591no—
975#529—1181no—
976#529—1181no—
977#525—1181no—
978#518—1181no—
979C4×#41—591no—
980C4×#41—591no—
981C4×#41—591no—
982C2×C4×D4—591no—
983C2×#117—1181no—
984#497—591no—
985#497C2×D5911yescharacteristic, complemented
986#496—591no—
987#496—591no—
988#495—591no—
989#495—591no—
990#490—591no—
991#490—591no—
992#489—591no—
993#489—591no—
994#488—591no—
995#488—591no—
996#485—591no—
997#485—591no—
998#482—591no—
999#482—591no—
1000#481—591no—
1001#481—591no—
1002#479—591no—
1003#479—591no—
1004#478—591no—
1005#478—591no—
1006#477—591no—
1007#477—591no—
1008#476—591no—
1009#476—591no—
1010#474—591no—
1011#474—591no—
1012#470—591no—
1013#470C2×D5911yescharacteristic, complemented
1014#468—591no—
1015#468—591no—
1016#468—591no—
1017#468—591no—
1018#468—591no—
1019#468—591no—
1020#466—591no—
1021#466—591no—
1022#465—591no—
1023#465C2×D5911yescharacteristic, complemented
1024#464—591no—
1025#464—591no—
1026#464—591no—
1027#464—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463—591no—
1032#463—591no—
1033#463—591no—
1034#463—591no—
1035#463C2×D5911yescharacteristic, complemented
1036#462—591no—
1037#462—591no—
1038#461—591no—
1039#461—591no—
1040#461—591no—
1041#461C2×D5911yescharacteristic, complemented
1042#460—591no—
1043#460—591no—
1044#460—591no—
1045#460—591no—
1046#460—591no—
1047#460—591no—
1048#459—591no—
1049#459—591no—
1050#459—591no—
1051#459—591no—
1052#459—591no—
1053#459—591no—
1054#452—591no—
1055#452—591no—
1056#452—591no—
1057#452—591no—
1058#452—591no—
1059#452—591no—
1060#452C2×D5911yescharacteristic
1061#452C2×D5911yescharacteristic, complemented
1062#450—591no—
1063#450C2×D5911yescharacteristic, complemented
1064#449—591no—
1065#449—591no—
1066#449—591no—
1067#449C2×D5911yescharacteristic, complemented
1068#447—591no—
1069#447—591no—
1070#447—591no—
1071#447—591no—
1072#446—591no—
1073#446—591no—
1074#442—591no—
1075#442—591no—
1076#442—591no—
1077#442C2×D5911yescharacteristic, complemented
1078#441—591no—
1079#441—591no—
1080#440—591no—
1081#440—591no—
1082C4×SD16—591no—
1083C4×SD16—591no—
1084C4×D8—591no—
1085C4×D8—591no—
1086#436—591no—
1087#436—591no—
1088#435—591no—
1089#435—591no—
1090#435—591no—
1091#435C2×D5911yescharacteristic, complemented
1092#432—591no—
1093#432—591no—
1094#431—591no—
1095#423—591no—
1096#423—591no—
1097C2×C4⋊C8—591no—
1098#418—591no—
1099#418—591no—
1100#417—591no—
1101#417—591no—
1102#416—591no—
1103#416—591no—
1104C59#6196811yescharacteristic, complemented, Sylow
1105C2×#41—591no—
1106C2×#41—591no—
1107C2×#41—591no—
1108C2×#41—591no—
1109C2×#41—1181no—
1110C2×#41—1181no—
1111C2×#41C22×D5911yescharacteristic
1112C2×#41C22×D5911yescharacteristic
1113C2×#41C22×D5911yescharacteristic
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—1181no—
1117C22×D4—1181no—
1118C22×D4C22×D5911yescharacteristic
1119C23×C4—1181no—
1120AGL(1,ℤ/8)—42no—
1121AGL(1,ℤ/8)—2362no—
1122AGL(1,ℤ/8)—2362no—
1123AGL(1,ℤ/8)—2362no—
1124#135—42no—
1125#135—2362no—
1126C2×Q16—591no—
1127C2×Q16—591no—
1128C2×Q16C22×D5911yescharacteristic
1129C2×Q16C22×D5911yescharacteristic
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—591no—
1136C2×SD16—591no—
1137C2×SD16C22×D5911yescharacteristic
1138C2×SD16C22×D5911yescharacteristic
1139C2×SD16C22×D5911yescharacteristic
1140C2×SD16C22×D5911yescharacteristic
1141C2×SD16C22×D5911yescharacteristic
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8C22×D5911yescharacteristic
1149C2×D8C22×D5911yescharacteristic
1150C2×M16—591no—
1151C2×M16—591no—
1152C2×M16—591no—
1153C2×M16C22×D5911yescharacteristic
1154C22×C8—591no—
1155C22×C8C22×D5911yescharacteristic
1156C4⋊Q8—591no—
1157C4⋊Q8—591no—
1158C4⋊Q8—591no—
1159C4⋊Q8C22×D5911yescharacteristic
1160#127—591no—
1161#127—591no—
1162#127—591no—
1163#127—591no—
1164#127—1181no—
1165#127—1181no—
1166#127—1181no—
1167#127—1181no—
1168#126—1181no—
1169#126—1181no—
1170#126—1181no—
1171#126—1181no—
1172#126—1181no—
1173#126—1181no—
1174#125—591no—
1175#125—591no—
1176#125—1181no—
1177#125—1181no—
1178#125—1181no—
1179#125—1181no—
1180#124—591no—
1181#124—591no—
1182#124—591no—
1183#124—591no—
1184#124—591no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124C22×D5911yescharacteristic
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208C22⋊Q8—591no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8C22×D5911yescharacteristic
1218C22⋊Q8C22×D5911yescharacteristic
1219C22⋊Q8C22×D5911yescharacteristic
1220#121—21no—
1221#121—21no—
1222#121—591no—
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—1181no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121C22×D5911yescharacteristic
1244#120—21no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250C4×Q8—591no—
1251C4×Q8—591no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×Q8—1181no—
1259C4×Q8—1181no—
1260C4×D4—591no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4C22×D5911yescharacteristic
1292C4×D4C22×D5911yescharacteristic
1293C4×D4C22×D5911yescharacteristic
1294#117—591no—
1295#117—591no—
1296#117—591no—
1297#117—591no—
1298#117—591no—
1299#117—1181no—
1300#117—1181no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304#117—1181no—
1305#117—1181no—
1306#117—1181no—
1307#117—1181no—
1308#117—1181no—
1309C2×C4⋊C4—21no—
1310C2×C4⋊C4—591no—
1311C2×C4⋊C4—1181no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C42—591no—
1320C2×C42—591no—
1321C2×C42—591no—
1322C2×C42—1181no—
1323C2×C42—1181no—
1324#107—591no—
1325#107—591no—
1326#107—591no—
1327#107—591no—
1328#106—591no—
1329#106—591no—
1330#106—591no—
1331#106C22×D5911yescharacteristic
1332C4⋊C8—591no—
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8—591no—
1340C4⋊C8—591no—
1341C4⋊C8C22×D5911yescharacteristic
1342#103—591no—
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103C22×D5911yescharacteristic
1352#103C22×D5911yescharacteristic
1353#103C22×D5911yescharacteristic
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102C22×D5911yescharacteristic
1372#102C22×D5911yescharacteristic
1373#102C22×D5911yescharacteristic
1374C22⋊C8—591no—
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8C22×D5911yescharacteristic
1379C22⋊C8C22×D5911yescharacteristic
1380#97—591no—
1381#97—591no—
1382#97—591no—
1383#97C22×D5911yescharacteristic
1384C4×C8—591no—
1385C4×C8—591no—
1386C24—21no—
1387C24—1181no—
1388C24—1181no—
1389#41—22no—
1390#41—22no—
1391#41—41no—
1392#41—41no—
1393#41—41no—
1394#41—41no—
1395#41—4722no—
1396#41—4722no—
1397#41—2361no—
1398#41—2361no—
1399#41—2362no—
1400#41—2361no—
1401#41—2361no—
1402#41—2361no—
1403#41—2361no—
1404C2×Q8—591no—
1405C2×Q8—591no—
1406C2×Q8—1181no—
1407C2×Q8—1181no—
1408C2×Q8C23×D5911yescharacteristic
1409C2×Q8C23×D5911yescharacteristic
1410C2×Q8C23×D5911yescharacteristic
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—591no—
1419C2×D4—591no—
1420C2×D4—591no—
1421C2×D4—591no—
1422C2×D4—591no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1182no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—4722no—
1443C2×D4—2361no—
1444C2×D4—2361no—
1445C2×D4—2361no—
1446C2×D4—2364no—
1447C2×D4D4×D5911yescharacteristic
1448C2×D4C23×D5911yescharacteristic
1449C2×D4C23×D5911yescharacteristic
1450C2×D4C23×D5911yescharacteristic
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—591no—
1457C22×C4—591no—
1458C22×C4—591no—
1459C22×C4—591no—
1460C22×C4—591no—
1461C22×C4—591no—
1462C22×C4—591no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—2364no—
1476C22×C4C23×D5911yescharacteristic
1477C22×C4C23×D5911yescharacteristic
1478Q16—41no—
1479Q16—41no—
1480Q16—2361no—
1481Q16—2361no—
1482SD16—22no—
1483SD16—41no—
1484SD16—41no—
1485SD16—41no—
1486SD16—41no—
1487SD16—1182no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492SD16—2361no—
1493SD16—2361no—
1494D8—22no—
1495D8—22no—
1496D8—1182no—
1497D8—1182no—
1498D8—2361no—
1499D8—2361no—
1500D8—2361no—
1501D8—2361no—
1502M16—41no—
1503M16—2361no—
1504M16—2361no—
1505M16—2361no—
1506C2×C8—41no—
1507C2×C8—591no—
1508C2×C8—591no—
1509C2×C8—591no—
1510C2×C8—591no—
1511C2×C8—2361no—
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C2×C8C23×D5911yescharacteristic
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—591no—
1522C4⋊C4—591no—
1523C4⋊C4—591no—
1524C4⋊C4—591no—
1525C4⋊C4—591no—
1526C4⋊C4—591no—
1527C4⋊C4—591no—
1528C4⋊C4—591no—
1529C4⋊C4—591no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4D4×D5911yescharacteristic
1549C4⋊C4C23×D5911yescharacteristic
1550C4⋊C4C23×D5911yescharacteristic
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—591no—
1560C22⋊C4—591no—
1561C22⋊C4—591no—
1562C22⋊C4—591no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
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⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4D4×D5911yescharacteristic
1592C22⋊C4D4×D5911yescharacteristic
1593C42—591no—
1594C42—591no—
1595C42—591no—
1596C42—591no—
1597C42—591no—
1598C42—591no—
1599C42—591no—
1600C42—591no—
1601C42—591no—
1602C42—1181no—
1603C42—1181no—
1604C42—1181no—
1605C42—1181no—
1606C42—1181no—
1607C42—1181no—
1608C42—1181no—
1609C42—1181no—
1610C42C23×D5911yescharacteristic
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—42no—
1615C23—81no—
1616C23—81no—
1617C23—591no—
1618C23—1181no—
1619C23—1181no—
1620C23—1181no—
1621C23—4721no—
1622C23—4721no—
1623C23—4721no—
1624C23—2362no—
1625C23—2362no—
1626C23—2362no—
1627C23C2×D4×D5911yescharacteristic
1628C23C2×D4×D5911yescharacteristic
1629Q8—21no—
1630Q8—21no—
1631Q8—21no—
1632Q8—21no—
1633Q8—21no—
1634Q8—21no—
1635Q8—1181no—
1636Q8—1181no—
1637Q8—4721no—
1638Q8—2361no—
1639Q8—2362no—
1640D4—21no—
1641D4—21no—
1642D4—21no—
1643D4—21no—
1644D4—21no—
1645D4—41no—
1646D4—42no—
1647D4—42no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—1181no—
1652D4—1181no—
1653D4—1181no—
1654D4—1181no—
1655D4—1181no—
1656D4—1181no—
1657D4—4721no—
1658D4—4721no—
1659D4—4721no—
1660D4—4721no—
1661D4—4721no—
1662D4—4721no—
1663D4—4721no—
1664D4—4721no—
1665D4—4721no—
1666D4—4721no—
1667D4—4721no—
1668D4—2362no—
1669D4—2362no—
1670D4—2361no—
1671D4—2361no—
1672D4—2362no—
1673D4—2362no—
1674D4—2362no—
1675D4—2362no—
1676D4—2362no—
1677D4#1427377212yes—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—42no—
1688C2×C4—42no—
1689C2×C4—42no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—591no—
1693C2×C4—591no—
1694C2×C4—591no—
1695C2×C4—591no—
1696C2×C4—591no—
1697C2×C4—591no—
1698C2×C4—591no—
1699C2×C4—1182no—
1700C2×C4—1182no—
1701C2×C4—1182no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—1181no—
1707C2×C4—1181no—
1708C2×C4—1181no—
1709C2×C4—4721no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—4721no—
1716C2×C4—4721no—
1717C2×C4—2361no—
1718C2×C4—2362no—
1719C2×C4—2362no—
1720C2×C4—2362no—
1721C2×C4—2362no—
1722C2×C4—2361no—
1723C2×C4—2361no—
1724C2×C4C2×D4×D5911yescharacteristic
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C24×D5911yescharacteristic
1729C8—21no—
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—1181no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C22—21no—
1738C22—21no—
1739C22—22no—
1740C22—21no—
1741C22—21no—
1742C22—21no—
1743C22—21no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—162no—
1753C22—1181no—
1754C22—1181no—
1755C22—1181no—
1756C22—9442no—
1757C22—4724no—
1758C22—2361no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22C22×D4×D5911yescharacteristic
1768C4—21no—
1769C4—21no—
1770C4—21no—
1771C4—21no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—592no—
1778C4—1181no—
1779C4—1181no—
1780C4—1181no—
1781C4—1181no—
1782C4—1181no—
1783C4—1181no—
1784C4—2361no—
1785C4—2361no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4C2×#1427377211yescharacteristic
1790C4#1683823711yescharacteristic
1791C2—41no—
1792C2—41no—
1793C2—42no—
1794C2—81no—
1795C2—81no—
1796C2—4721no—
1797C2—4721no—
1798C2—4721no—
1799C2—2361no—
1800C2#2143775611yescharacteristic
1801C2#575×D5911yescharacteristic
1802C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3267C2
socleC22×C59C23×D4
hypercenter#3267D59
hypocenterC59#61968
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. #21437964C2semidirect
2. #21437659C2semidirect
3. #21437169C2semidirect
4. #21437161C2semidirect
5. #21436854C2semidirect
6. #21436846C2semidirect
7. #21436318C2semidirect
8. #21436316C2semidirect
9. #21436254C2semidirect
10. #21436252C2semidirect
11. #21436228C2semidirect
12. #21436226C2semidirect
13. #21435701C2semidirect
14. #21435700C2semidirect
15. #21435640C2semidirect
16. #21435636C2semidirect
17. #21435622C2semidirect
18. #21435480C2semidirect
19. #21435464C2semidirect
20. #21435417C2semidirect
21. #21435117C2semidirect
22. #21435102C2semidirect
23. #21435075C2semidirect
24. #21434251C2semidirect
25. #21434185C2semidirect
26. #21434149C2semidirect
27. #21433574C2semidirect
28. #21433558C2semidirect
29. #21433547C2semidirect
30. #21433208C2semidirect
31. C59×#3267C2semidirect
32. C2×#14273754C22semidirect
34. C2×#14273751C22semidirect
35. C2×#14273747C22semidirect
37. #16838135C22semidirect
38. #16838134C22semidirect
39. #16838126C22semidirect
41. #16838109C22semidirect
45. #16838086C22semidirect
51. #16838048C22semidirect
56. #16838040C22semidirect
61. #16837957C22semidirect
62. #16837954C22semidirect
65. #16837948C22semidirect
66. #16837947C22semidirect
67. C2×#14273723C22semidirect
69. #16837938C22semidirect
75. #41×Dic59C22semidirect
77. C4×D4×D59C22semidirect
79. #16837794C22semidirect
82. #16837787C22semidirect
83. #16837783C22semidirect
84. #16837765C22semidirect
85. #16837765C22semidirect
86. #16837762C22semidirect
87. #16837761C22semidirect
88. #16837758C22semidirect
89. #16837755C22semidirect
90. #16837744C22semidirect
91. #16837740C22semidirect
92. #16837727C22semidirect
93. #16837723C22semidirect
94. #16837722C22semidirect
95. #16837719C22semidirect
96. #16837712C22semidirect
97. #16837711C22semidirect
98. #16837701C22semidirect
99. #16837700C22semidirect
100. #16837695C22semidirect
101. #16837695C22semidirect
102. #16837691C22semidirect
103. #16837690C22semidirect
104. #16837683C22semidirect
105. #16837682C22semidirect
106. #16837658C22semidirect
107. #16837651C22semidirect
108. #16837651C22semidirect
111. #16837645C22semidirect
112. #16837645C22semidirect
113. #16837638C22semidirect
114. #16837636C22semidirect
115. #16837633C22semidirect
116. #16837627C22semidirect
117. #16837626C22semidirect
118. #16837626C22semidirect
119. #16837622C22semidirect
120. #16837620C22semidirect
121. #16837619C22semidirect
122. #16837619C22semidirect
123. #16837618C22semidirect
124. #16837617C22semidirect
125. #16837615C22semidirect
126. #16837614C22semidirect
127. #16837610C22semidirect
128. #16837610C22semidirect
129. #16837606C22semidirect
130. #16837605C22semidirect
131. #16837604C22semidirect
132. #16837600C22semidirect
133. #16837600C22semidirect
134. #16837600C22semidirect
135. #16837600C22semidirect
136. #16837600C22semidirect
137. #16837600C22semidirect
145. #16837563C22semidirect
146. #16837563C22semidirect
147. #16837562C22semidirect
148. #16837561C22semidirect
149. #16837561C22semidirect
150. #16837552C22semidirect
151. #16837549C22semidirect
152. #16837547C22semidirect
153. #16837547C22semidirect
155. #16837537C22semidirect
157. #16837534C22semidirect
158. #16837531C22semidirect
159. #16837530C22semidirect
160. #16837515C22semidirect
161. #16837512C22semidirect
162. #16837512C22semidirect
163. #16837509C22semidirect
164. #16837506C22semidirect
165. #16837503C22semidirect
166. #16837499C22semidirect
167. SD16×Dic59C22semidirect
168. #16837487C22semidirect
169. D8×Dic59C22semidirect
170. #16837482C22semidirect
173. #16837474C22semidirect
174. #16837473C22semidirect
175. #16837470C22semidirect
176. #16837457C22semidirect
177. #16837456C22semidirect
178. #16837452C22semidirect
179. #16837425C22semidirect
180. #16837424C22semidirect
181. C2×Dic59⋊C8C22semidirect
182. #16837408C22semidirect
183. #16837407C22semidirect
184. #16837402C22semidirect
185. #16837400C22semidirect
186. #16837399C22semidirect
187. #16837398C22semidirect
189. C2×#135×C59C22semidirect
191. C59×#546C22semidirect
192. C59×#497C22semidirect
193. C59×#470C22semidirect
194. C59×#465C22semidirect
195. C59×#463C22semidirect
196. C59×#461C22semidirect
198. C59×#452C22semidirect
199. C59×#450C22semidirect
200. C59×#449C22semidirect
201. C59×#442C22semidirect
202. C59×#435C22semidirect
907. #3267D59semidirect
938. C2×#135C2×D59semidirect
962. #546C2×D59semidirect
985. #497C2×D59semidirect
1013. #470C2×D59semidirect
1023. #465C2×D59semidirect
1035. #463C2×D59semidirect
1041. #461C2×D59semidirect
1061. #452C2×D59semidirect
1063. #450C2×D59semidirect
1067. #449C2×D59semidirect
1077. #442C2×D59semidirect
1091. #435C2×D59semidirect
1104. C59#61968semidirect

Maximal subgroups

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

subgroupindex
#214379642
#214376592
#214371692
#214371612
#214368542
#214368462
#214363182
#214363162
#214362542
#214362522
#214362282
#214362262
#214357012
#214357002
#214356402
#214356362
#214356222
#214354802
#214354642
#214354172
#214351172
#214351022
#214350752
#214342512
#214341852
#214341492
#214335742
#214335582
#214335472
#214332082
C59×#32672
#6196859