Finite Group Databasebeta

← #29484187

Subgroups — #29484187

Order 15104.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1820 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438610C211yesmaximal, characteristic, complemented
2#21438093C211yesmaximal, characteristic, complemented
3#21437143C211yesmaximal, characteristic, complemented
4#21437141C211yesmaximal, characteristic, complemented
5#21436860C211yesmaximal, characteristic, complemented
6#21436857C211yesmaximal, characteristic, complemented
7#21436355C211yesmaximal, characteristic, complemented
8#21436351C211yesmaximal, characteristic, complemented
9#21436237C211yesmaximal, characteristic, complemented
10#21436230C211yesmaximal, characteristic, complemented
11#21436061C211yesmaximal, characteristic, complemented
12#21436052C211yesmaximal, characteristic, complemented
13#21435710C211yesmaximal, characteristic, complemented
14#21435679C211yesmaximal, characteristic, complemented
15#21435677C211yesmaximal, characteristic, complemented
16#21435630C211yesmaximal, characteristic, complemented
17#21435629C211yesmaximal, characteristic, complemented
18#21435508C211yesmaximal, characteristic, complemented
19#21435503C211yesmaximal, characteristic, complemented
20#21435473C211yesmaximal, characteristic, complemented
21#21435142C211yesmaximal, characteristic, complemented
22#21435139C211yesmaximal, characteristic, complemented
23#21435080C211yesmaximal, characteristic, complemented
24#21434379C211yesmaximal, characteristic, complemented
25#21434374C211yesmaximal, characteristic, complemented
26#21434240C211yesmaximal, characteristic, complemented
27#21433639C211yesmaximal, characteristic, complemented
28#21433632C211yesmaximal, characteristic, complemented
29#21433588C211yesmaximal, characteristic, complemented
30#21433260C211yesmaximal, characteristic, complemented
31C59×#3274C211yesmaximal, characteristic, complemented
32C2×#14273757C2211yescharacteristic, complemented
33C2×#14273754C2211yescharacteristic, complemented
34C2×#14273748C2211yescharacteristic, complemented
35C2×#14273747C2211yescharacteristic, complemented
36#16838147—21no—
37#16838145—21no—
38#16838138C2211yescharacteristic
39#16838135C2211yescharacteristic
40#16838128C2211yescharacteristic, complemented
41#16838099—21no—
42#16838099C2211yescharacteristic, complemented
43#16838098—21no—
44#16838098C2211yescharacteristic, complemented
45#16838072—21no—
46#16838072C2211yescharacteristic, complemented
47#16838071C2211yescharacteristic, complemented
48#16838071C2211yescharacteristic, complemented
49#16838061C2211yescharacteristic
50#16838058C2211yescharacteristic
51#16838052—21no—
52#16838052C2211yescharacteristic, complemented
53#16838049C2211yescharacteristic
54#16838046—21no—
55#16838046C2211yescharacteristic
56#16838039—21no—
57D4×C22⋊D59C2211yescharacteristic
58#16838019C2211yescharacteristic
59#16838017C2211yescharacteristic
60#16838006—21no—
61#16838006C2211yescharacteristic, complemented
62#16838005—21no—
63#16838005C2211yescharacteristic, complemented
64#16837987—21no—
65#16837987—21no—
66#16837984—21no—
67#16837969C2211yescharacteristic
68#16837965C2211yescharacteristic
69#16837961—21no—
70#16837947—21no—
71#16837947C2211yescharacteristic
72#16837947C2211yescharacteristic, complemented
73#16837932—21no—
74#16837932C2211yescharacteristic
75C2×#14273714C2211yescharacteristic
76#16837885C2211yescharacteristic, complemented
77#16837884C2211yescharacteristic, complemented
78#41×Dic59C2211yescharacteristic, complemented
79#16837790C2211yescharacteristic, complemented
80#16837790C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837789C2211yescharacteristic, complemented
83#16837777C2211yescharacteristic
84#16837766C2211yescharacteristic
85#16837765C2211yescharacteristic
86#16837760C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837757C2211yescharacteristic, complemented
89#16837755C2211yescharacteristic, complemented
90#16837734C2211yescharacteristic, complemented
91#16837733C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837723C2211yescharacteristic, complemented
94#16837719C2211yescharacteristic
95#16837718C2211yescharacteristic
96#16837712C2211yescharacteristic, complemented
97#16837710C2211yescharacteristic, complemented
98#16837702C2211yescharacteristic, complemented
99#16837700C2211yescharacteristic, complemented
100#16837691C2211yescharacteristic, complemented
101#16837691C2211yescharacteristic, complemented
102#16837690C2211yescharacteristic, complemented
103#16837690C2211yescharacteristic, complemented
104#16837685C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837655C2211yescharacteristic, complemented
107#16837653C2211yescharacteristic, complemented
108#16837653C2211yescharacteristic, complemented
109#16837652C2211yescharacteristic
110#16837648C2211yescharacteristic, complemented
111#16837647C2211yescharacteristic, complemented
112#16837636C2211yescharacteristic
113#16837635C2211yescharacteristic
114#16837630C2211yescharacteristic, complemented
115#16837629C2211yescharacteristic, complemented
116#16837624C2211yescharacteristic, complemented
117#16837622C2211yescharacteristic, complemented
118#16837622C2211yescharacteristic, complemented
119#16837622C2211yescharacteristic, complemented
120#16837622C2211yescharacteristic, complemented
121#16837622C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837616C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837615C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837615C2211yescharacteristic, complemented
130#16837615C2211yescharacteristic, complemented
131#16837615C2211yescharacteristic, complemented
132#16837601C2211yescharacteristic, complemented
133#16837600C2211yescharacteristic
134#16837600C2211yescharacteristic, complemented
135#16837599C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic, complemented
137#16837596C2211yescharacteristic, complemented
138#16837595C2211yescharacteristic
139#16837595C2211yescharacteristic, complemented
140#16837595C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic, complemented
142#16837595C2211yescharacteristic, complemented
143#16837594C2211yescharacteristic
144#16837567C2211yescharacteristic, complemented
145#16837564C2211yescharacteristic, complemented
146#16837549C2211yescharacteristic, complemented
147#16837547C2211yescharacteristic, complemented
148#16837546C2211yescharacteristic
149#16837545C2211yescharacteristic, complemented
150#16837544C2211yescharacteristic, complemented
151#16837544C2211yescharacteristic, complemented
152#16837543C2211yescharacteristic, complemented
153#16837540C2211yescharacteristic, complemented
154#16837536C2211yescharacteristic
155#16837536C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837532C2211yescharacteristic, complemented
159#16837531C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837512C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic, complemented
164#16837507C2211yescharacteristic, complemented
165#16837506C2211yescharacteristic, complemented
166#16837505C2211yescharacteristic, complemented
167#16837503C2211yescharacteristic, complemented
168#16837493C2211yescharacteristic, complemented
169C4×#11745660C2211yescharacteristic, complemented
170SD16×Dic59C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic, complemented
172#16837476C2211yescharacteristic, complemented
173#16837474C2211yescharacteristic, complemented
174#16837471C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837461C2211yescharacteristic, complemented
177#16837460C2211yescharacteristic, complemented
178#16837456C2211yescharacteristic, complemented
179#16837430C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837425C2211yescharacteristic, complemented
182#16837412C2211yescharacteristic, complemented
183#16837407C2211yescharacteristic
184#16837404C2211yescharacteristic, complemented
185#16837400C2211yescharacteristic, complemented
186C2×#14273648C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
190C59×#550C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic
192C59×#493C2211yescharacteristic
193C59×#469C2211yescharacteristic
194C59×#469C2211yescharacteristic, complemented
195C59×#460C2211yescharacteristic
196C59×#459C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic
198C59×#449C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic
200C59×#447C2211yescharacteristic, complemented
201C4×SD16×C59C2211yescharacteristic, complemented
202C59×#436C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745687—21no—
206C2×#11745687—21no—
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687C2311yescharacteristic
210C22×Dic118C2311yescharacteristic
211C22×C22⋊D59—21no—
212C2×D4×D59C2311yescharacteristic
213#14273757—42no—
214#14273754—42no—
215#14273748—42no—
216#14273747—42no—
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×D472C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745664C2311yescharacteristic
233C2×#11745659C2311yescharacteristic
234C22×C59⋊C8C2311yescharacteristic
235C2×C8×D59C2311yescharacteristic
236#14273726—21no—
237#14273726C2311yescharacteristic
238#14273726C2311yescharacteristic
239#14273723—21no—
240#14273723—21no—
241#14273723C2311yescharacteristic
242#14273723C2311yescharacteristic
243#14273723C2311yescharacteristic
244#14273723C2311yescharacteristic
245#14273722—21no—
246#14273722D411yescharacteristic
247#14273720—21no—
248#14273720—21no—
249#14273720—21no—
250#14273720D411yescharacteristic
251#14273719—21no—
252#14273719C2311yescharacteristic
253#14273718—21no—
254#14273718C2311yescharacteristic
255#14273717D411yescharacteristic
256#14273715C2311yescharacteristic
257#14273714—21no—
258#14273714—21no—
259#14273714—21no—
260#14273714—21no—
261#14273714C2311yescharacteristic
262#14273714C2311yescharacteristic
263#14273714C2311yescharacteristic
264#14273714C2311yescharacteristic
265#14273714C2311yescharacteristic
266#14273713—21no—
267#14273713—21no—
268#14273713—21no—
269#14273713—21no—
270#14273713—21no—
271#14273713—21no—
272#14273713D411yescharacteristic
273#14273711—21no—
274#14273711D411yescharacteristic
275#14273710—21no—
276#14273710—21no—
277#14273709—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709—21no—
282#14273708—21no—
283#14273708—21no—
284#14273708—21no—
285#14273708—21no—
286#14273708—21no—
287#14273708—21no—
288#14273708—21no—
289#14273708—21no—
290#14273708D411yescharacteristic
291#14273707C2311yescharacteristic
292#14273706—21no—
293#14273706C2311yescharacteristic
294#14273705—21no—
295#14273704—21no—
296#14273704—21no—
297#14273704—21no—
298#14273704D411yescharacteristic
299#14273701—21no—
300#14273701—21no—
301#14273701C2311yescharacteristic
302#14273701C2311yescharacteristic
303#14273701C2311yescharacteristic
304#14273699—21no—
305#14273699—21no—
306#14273699—21no—
307#14273699—21no—
308#14273699—21no—
309#14273699—21no—
310#14273699—21no—
311#14273699—21no—
312#14273699—21no—
313#14273699—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699D411yescharacteristic
319#14273698—21no—
320#14273698—21no—
321#14273698—21no—
322#14273698—21no—
323#14273698—21no—
324#14273698—21no—
325#14273698—21no—
326#14273698—21no—
327#14273698C2311yescharacteristic
328#14273698C2311yescharacteristic
329#14273698C2311yescharacteristic
330#14273696—21no—
331#14273696—21no—
332#14273696—21no—
333#14273696—21no—
334#14273695—21no—
335#14273695—21no—
336#14273695—21no—
337#14273695—21no—
338Q8×Dic59C2311yescharacteristic
339Q8×Dic59C2311yescharacteristic
340Q8×Dic59C2311yescharacteristic
341C4×Dic118—21no—
342C4×Dic118C2311yescharacteristic
343C4×Dic118C2311yescharacteristic
344#14273692C2311yescharacteristic
345C4×D236—21no—
346C4×D236C2311yescharacteristic
347D4×Dic59—21no—
348D4×Dic59—21no—
349D4×Dic59—21no—
350D4×Dic59—21no—
351D4×Dic59—21no—
352D4×Dic59—21no—
353D4×Dic59C2311yescharacteristic
354D4×Dic59C2311yescharacteristic
355D4×Dic59C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357D4×Dic59C2311yescharacteristic
358D4×Dic59C2311yescharacteristic
359#14273689—21no—
360#14273689C2311yescharacteristic
361#14273689C2311yescharacteristic
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59C2311yescharacteristic
366C4×C22⋊D59C2311yescharacteristic
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372#14273686—21no—
373#14273686—21no—
374#14273686C2311yescharacteristic
375#14273686C2311yescharacteristic
376#14273684—21no—
377#14273684C2311yescharacteristic
378C2×C4⋊Dic59—21no—
379C2×C4⋊Dic59C2311yescharacteristic
380C4⋊C4×D59—21no—
381C4⋊C4×D59C2311yescharacteristic
382C2×C22⋊Dic59—21no—
383C2×C22⋊Dic59—21no—
384C2×C22⋊Dic59—21no—
385C22⋊C4×D59—21no—
386C2×C4×Dic59—21no—
387C2×C4×Dic59C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273658C2311yescharacteristic
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#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
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
437#14273637C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C2×#41×C59C2311yescharacteristic
441C22×D4×C59—21no—
442C22×D4×C59C2311yescharacteristic
443C22×D4×C59C2311yescharacteristic
444AGL(1,ℤ/8)×C59—42no—
445AGL(1,ℤ/8)×C59—42no—
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×D8×C59C2311yescharacteristic
455C2×M16×C59C2311yescharacteristic
456C2×M16×C59C2311yescharacteristic
457#127×C59—21no—
458#127×C59C2311yescharacteristic
459#127×C59C2311yescharacteristic
460#121×C59—21no—
461#121×C59—21no—
462#121×C59—21no—
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467#120×C59—21no—
468#120×C59—21no—
469C4×Q8×C59C2311yescharacteristic
470C4×D4×C59—21no—
471C4×D4×C59C2311yescharacteristic
472C4×D4×C59C2311yescharacteristic
473#106×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C23×D59—21no—
487#41×C59—22no—
488#41×C59—22no—
489#41×C59—41no—
490#41×C59—41no—
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—21no—
493C2×D4×C59—21no—
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—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—41no—
505C2×D4×C59—41no—
506C2×D4×C59—41no—
507C2×D4×C59—41no—
508C2×D4×C59—82no—
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59C2411yescharacteristic
519C22×C4×C59C2411yescharacteristic
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—21no—
537C2×C22⋊D59—82no—
538C2×C22⋊D59C2×D411yescharacteristic
539C2×C22⋊D59C2×D411yescharacteristic
540C22×Dic59—21no—
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59—21no—
545C22×Dic59—21no—
546C22×Dic59—21no—
547C22×Dic59—21no—
548C22×Dic59—21no—
549C22×Dic59C2×D411yescharacteristic
550C22×Dic59C2×D411yescharacteristic
551#11745689—22no—
552#11745689—41no—
553#11745687—41no—
554#11745687—41no—
555#11745687—82no—
556#11745687—82no—
557#11745687—82no—
558#11745687—82no—
559D4×D59—41no—
560D4×D59—41no—
561#11745685—41no—
562#11745685—41no—
563C2×D236—21no—
564C2×D236C2411yescharacteristic
565C2×D236C2411yescharacteristic
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59C2411yescharacteristic
573C2×Dic118—21no—
574C2×Dic118—21no—
575C2×Dic118—21no—
576C2×Dic118—41no—
577C2×Dic118—41no—
578C2×Dic118C2×D411yescharacteristic
579C2×Dic118C2411yescharacteristic
580C2×Dic118C2411yescharacteristic
581SD16×C59—22no—
582SD16×C59—22no—
583SD16×C59—22no—
584D8×C59—41no—
585D8×C59—41no—
586D8×C59—41no—
587D8×C59—41no—
588D8×C59—41no—
589D8×C59—41no—
590M16×C59—41no—
591M16×C59—41no—
592C2×C8×C59C2411yescharacteristic
593C2×C8×C59C2411yescharacteristic
594C2×C8×C59C2411yescharacteristic
595C2×C8×C59C2411yescharacteristic
596C4⋊C4×C59—21no—
597C4⋊C4×C59C2×D411yescharacteristic
598C4⋊C4×C59C2411yescharacteristic
599C4⋊C4×C59C2411yescharacteristic
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59C2×D411yescharacteristic
606C22⋊C4×C59C2×D411yescharacteristic
607C42×C59—21no—
608C42×C59C2411yescharacteristic
609C22⋊Dic59—21no—
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⋊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⋊Dic59C2×D411yescharacteristic
631C22⋊Dic59C2×D411yescharacteristic
632C22⋊Dic59C2×D411yescharacteristic
633C22⋊Dic59C2×D411yescharacteristic
634#11745672—22no—
635#11745672—22no—
636#11745671—22no—
637#11745670—41no—
638#11745670—41no—
639#11745670—41no—
640#11745670—41no—
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)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59C2×D411yescharacteristic
666C4⋊Dic59C2×D411yescharacteristic
667C4⋊Dic59C2×D411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669C4⋊Dic59C2411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685Dic59⋊C4C2×D411yescharacteristic
686Dic59⋊C4C2×D411yescharacteristic
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692C4×Dic59—21no—
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—
705#11745660—41no—
706#11745660—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—21no—
714C23×C59—42no—
715C23×C59—81no—
716C23×C59—81no—
717C23×C59—81no—
718C23×C59—81no—
719C23×C59—81no—
720C23×C59C22×D411yescharacteristic
721C23×C59C22×D411yescharacteristic
722C22×D59—21no—
723C22×D59—21no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59C22×D411yescharacteristic
728Q8×C59—21no—
729Q8×C59H(5,𝔽2)12yes—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—41no—
741D4×C59—42no—
742D4×C59—42no—
743D4×C59—42no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59—81no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59—81no—
752D4×C59—81no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—42no—
761C2×C4×C59—42no—
762C2×C4×C59—81no—
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C2511yescharacteristic
768C22⋊D59—41no—
769C22⋊D59—41no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—41no—
794C2×Dic59—41no—
795C2×Dic59—42no—
796C2×Dic59—81no—
797C2×Dic59—81no—
798C2×Dic59—81no—
799C2×Dic59—81no—
800C2×Dic59—81no—
801C2×Dic59—81no—
802C2×Dic59—81no—
803C2×Dic59—81no—
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806C2×Dic59C22×D411yescharacteristic
807C2×Dic59C22×D411yescharacteristic
808C2×Dic59C22×D411yescharacteristic
809C2×Dic59C22×D411yescharacteristic
810C2×Dic59C22×D411yescharacteristic
811D236—21no—
812D236—21no—
813D236—21no—
814D236—21no—
815D236—42no—
816C4×D59—21no—
817C4×D59—21no—
818C4×D59—42no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59—81no—
823C4×D59—81no—
824Dic118—21no—
825Dic118—21no—
826Dic118—21no—
827Dic118—21no—
828Dic118—41no—
829Dic118—42no—
830Dic118—81no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62093—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—21no—
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—162no—
863C22×C59—162no—
864C22×C59C23×D411yescharacteristic
865C2×D59—21no—
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—162no—
875C4×C59—21no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—22no—
879C4×C59—21no—
880C4×C59—41no—
881C4×C59—41no—
882C4×C59C2×H(5,𝔽2)11yescharacteristic
883C4×C59#58511yescharacteristic
884Dic59—21no—
885Dic59—21no—
886Dic59—21no—
887Dic59—21no—
888Dic59—21no—
889Dic59—21no—
890Dic59—21no—
891Dic59—41no—
892Dic59—41no—
893Dic59—41no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897#3558—591no—
898#3517—591no—
899#3399—591no—
900#3399—591no—
901#3371—591no—
902#3371—591no—
903#3326—591no—
904#3326—591no—
905#3318—591no—
906#3318—591no—
907#3306—591no—
908#3306—591no—
909#3274—591no—
910#3274D5911yescharacteristic, complemented
911#3271—591no—
912#3271—591no—
913#3268—591no—
914#3268—591no—
915#3257—591no—
916#3257—591no—
917#3253—591no—
918#3220—591no—
919#3220—591no—
920#3213—591no—
921#3125—591no—
922#3125—591no—
923#3115—591no—
924#3045—591no—
925#3045—591no—
926#3040—591no—
927#2995—591no—
928C2×C59—41no—
929C2×C59—41no—
930C2×C59—81no—
931C2×C59—81no—
932C2×C59—81no—
933C2×C59—81no—
934C2×C59—81no—
935C2×C59#348811yescharacteristic
936C2×C59#358511yescharacteristic
937C2×C59#358511yescharacteristic
938D59—41no—
939D59—81no—
940D59—81no—
941C2×#137—591no—
942C2×AGL(1,ℤ/8)—591no—
943C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
944C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
945C2×#135—591no—
946C2×#135—591no—
947#562—1181no—
948H(3,𝔽4)—1181no—
949#559—591no—
950#559—591no—
951#557—591no—
952#553—591no—
953#553—591no—
954#553—1181no—
955#553—1181no—
956#550—591no—
957#550—591no—
958#550—591no—
959#550—1181no—
960#550C2×D5911yescharacteristic, complemented
961#548—591no—
962#548—591no—
963#547—591no—
964#547—1181no—
965#546—591no—
966#546—591no—
967#546—1181no—
968#546—1181no—
969D42—591no—
970D42C2×D5911yescharacteristic
971#542—591no—
972#542—591no—
973#540—591no—
974#540—591no—
975#540—1181no—
976#540—1181no—
977#538—1181no—
978#538—1181no—
979#538—1181no—
980#535—591no—
981#535—591no—
982#534—1181no—
983#532—591no—
984#532—591no—
985#532—1181no—
986#529—591no—
987#529—1181no—
988C2×#124—591no—
989#520—591no—
990#520—591no—
991C4×#41—591no—
992#496—591no—
993#496—591no—
994#496—591no—
995#496—591no—
996#493—591no—
997#493C2×D5911yescharacteristic
998#490—591no—
999#490—591no—
1000#489—591no—
1001#489—591no—
1002#488—591no—
1003#488—591no—
1004#483—591no—
1005#483—591no—
1006#482—591no—
1007#482—591no—
1008#481—591no—
1009#481—591no—
1010#479—591no—
1011#479—591no—
1012#478—591no—
1013#478—591no—
1014#476—591no—
1015#476—591no—
1016#476—591no—
1017#476—591no—
1018#475—591no—
1019#474—591no—
1020#469—591no—
1021#469—591no—
1022#469—591no—
1023#469—591no—
1024#469C2×D5911yescharacteristic
1025#469C2×D5911yescharacteristic, complemented
1026#468—591no—
1027#468—591no—
1028#466—591no—
1029#466—591no—
1030#465—591no—
1031#465—591no—
1032#464—591no—
1033#464—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463—591no—
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460C2×D5911yescharacteristic
1053#459—591no—
1054#459—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459C2×D5911yescharacteristic, complemented
1062#452—591no—
1063#452—591no—
1064#449—591no—
1065#449—591no—
1066#449—591no—
1067#449—591no—
1068#449—591no—
1069#449—591no—
1070#449C2×D5911yescharacteristic
1071#449C2×D5911yescharacteristic, complemented
1072#448—591no—
1073#448—591no—
1074#447—591no—
1075#447—591no—
1076#447—591no—
1077#447—591no—
1078#447C2×D5911yescharacteristic
1079#447C2×D5911yescharacteristic, complemented
1080#446—591no—
1081#446—591no—
1082#442—591no—
1083#442—591no—
1084#442—591no—
1085#442—591no—
1086#441—591no—
1087#441—591no—
1088#440—591no—
1089#440—591no—
1090C4×SD16—591no—
1091C4×SD16—591no—
1092C4×SD16—591no—
1093C4×SD16C2×D5911yescharacteristic, complemented
1094#436—591no—
1095#436C2×D5911yescharacteristic, complemented
1096#435—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#433—591no—
1101#433—591no—
1102#432—591no—
1103#424—591no—
1104#424—591no—
1105#423—591no—
1106#419—591no—
1107#418—591no—
1108#417—591no—
1109#417—591no—
1110C2×#102—591no—
1111C2×#102—591no—
1112C59#6209311yescharacteristic, complemented, Sylow
1113C2×#41—591no—
1114C2×#41—591no—
1115C2×#41—591no—
1116C2×#41—1181no—
1117C2×#41—1181no—
1118C2×#41—1181no—
1119C2×#41—1181no—
1120C2×#41C22×D5911yescharacteristic
1121C2×#41C22×D5911yescharacteristic
1122C22×Q8—591no—
1123C22×D4—21no—
1124C22×D4—591no—
1125C22×D4—1181no—
1126C22×D4C22×D5911yescharacteristic
1127C22×D4C22×D5911yescharacteristic
1128#137—2362no—
1129AGL(1,ℤ/8)—42no—
1130AGL(1,ℤ/8)—42no—
1131AGL(1,ℤ/8)—2362no—
1132#135—2362no—
1133#135—2362no—
1134C2×Q16—591no—
1135C2×Q16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16C22×D5911yescharacteristic
1144C2×SD16C22×D5911yescharacteristic
1145C2×SD16C22×D5911yescharacteristic
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—591no—
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8C22×D5911yescharacteristic
1153C2×D8C22×D5911yescharacteristic
1154C2×D8C22×D5911yescharacteristic
1155C2×D8C22×D5911yescharacteristic
1156C2×D8C22×D5911yescharacteristic
1157C2×D8C22×D5911yescharacteristic
1158C2×M16—591no—
1159C2×M16—591no—
1160C2×M16C22×D5911yescharacteristic
1161C2×M16C22×D5911yescharacteristic
1162C22×C8—591no—
1163C22×C8—591no—
1164C4⋊Q8—591no—
1165C4⋊Q8—591no—
1166C4⋊Q8—1181no—
1167#127—21no—
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—1181no—
1173#127—1181no—
1174#127C22×D5911yescharacteristic
1175#127C22×D5911yescharacteristic
1176#126—591no—
1177#126—591no—
1178#126—1181no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#125—591no—
1183#125—591no—
1184#125—591no—
1185#125—1181no—
1186#125—1181no—
1187#124—591no—
1188#124—591no—
1189#124—591no—
1190#124—591no—
1191#124—591no—
1192#124—591no—
1193#124—591no—
1194#124—1181no—
1195#124—1181no—
1196#124—1181no—
1197#124—1181no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124—1181no—
1204#123—591no—
1205#123—591no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222C22⋊Q8—591no—
1223C22⋊Q8—591no—
1224C22⋊Q8—591no—
1225C22⋊Q8—1181no—
1226C22⋊Q8—1181no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230#121—21no—
1231#121—21no—
1232#121—21no—
1233#121—591no—
1234#121—591no—
1235#121—591no—
1236#121—591no—
1237#121—591no—
1238#121—591no—
1239#121—591no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121C22×D5911yescharacteristic
1265#121C22×D5911yescharacteristic
1266#121C22×D5911yescharacteristic
1267#121C22×D5911yescharacteristic
1268#120—21no—
1269#120—21no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278C4×Q8—591no—
1279C4×Q8—591no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—1181no—
1285C4×Q8C22×D5911yescharacteristic
1286C4×D4—21no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4—1181no—
1313C4×D4—1181no—
1314C4×D4C22×D5911yescharacteristic
1315C4×D4C22×D5911yescharacteristic
1316#117—591no—
1317#117—591no—
1318#117—591no—
1319#117—1181no—
1320#117—1181no—
1321#117—1181no—
1322C2×C4⋊C4—591no—
1323C2×C4⋊C4—591no—
1324C2×C4⋊C4—1181no—
1325C2×C4⋊C4—1181no—
1326C2×C22⋊C4—1181no—
1327C2×C22⋊C4—1181no—
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C42—591no—
1331C2×C42—1181no—
1332#107—591no—
1333#107—591no—
1334#106—591no—
1335#106—591no—
1336#106—591no—
1337#106—591no—
1338#106—591no—
1339#106C22×D5911yescharacteristic
1340C4⋊C8—591no—
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8C22×D5911yescharacteristic
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103C22×D5911yescharacteristic
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#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382C22⋊C8—591no—
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8C22×D5911yescharacteristic
1387C22⋊C8C22×D5911yescharacteristic
1388#97—591no—
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392C4×C8—591no—
1393C4×C8C22×D5911yescharacteristic
1394C24—21no—
1395C24—21no—
1396C24—1181no—
1397#41—22no—
1398#41—22no—
1399#41—41no—
1400#41—41no—
1401#41—1182no—
1402#41—4722no—
1403#41—4722no—
1404#41—4722no—
1405#41—4722no—
1406#41—2361no—
1407#41—2361no—
1408#41—2361no—
1409#41—2361no—
1410#41—2361no—
1411C2×Q8—591no—
1412C2×Q8—591no—
1413C2×Q8—591no—
1414C2×Q8—1181no—
1415C2×Q8—1181no—
1416C2×Q8—1181no—
1417C2×Q8—2361no—
1418C2×Q8—2361no—
1419C2×Q8C23×D5911yescharacteristic
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—41no—
1433C2×D4—41no—
1434C2×D4—41no—
1435C2×D4—41no—
1436C2×D4—82no—
1437C2×D4—591no—
1438C2×D4—591no—
1439C2×D4—591no—
1440C2×D4—591no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
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—4722no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4D4×D5911yescharacteristic
1463C2×D4C23×D5911yescharacteristic
1464C2×D4C23×D5911yescharacteristic
1465C2×D4C23×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—591no—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4—1181no—
1489C22×C4C23×D5911yescharacteristic
1490C22×C4C23×D5911yescharacteristic
1491Q16—1182no—
1492Q16—1182no—
1493SD16—22no—
1494SD16—22no—
1495SD16—22no—
1496SD16—1182no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503D8—41no—
1504D8—41no—
1505D8—41no—
1506D8—41no—
1507D8—41no—
1508D8—41no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513D8—2361no—
1514D8—2361no—
1515M16—41no—
1516M16—41no—
1517M16—2361no—
1518M16—2361no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—591no—
1523C2×C8—2361no—
1524C2×C8—2361no—
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C2×C8C23×D5911yescharacteristic
1528C2×C8C23×D5911yescharacteristic
1529C4⋊C4—21no—
1530C4⋊C4—591no—
1531C4⋊C4—591no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—591no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4D4×D5911yescharacteristic
1559C4⋊C4C23×D5911yescharacteristic
1560C4⋊C4C23×D5911yescharacteristic
1561C22⋊C4—21no—
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—591no—
1567C22⋊C4—591no—
1568C22⋊C4—591no—
1569C22⋊C4—591no—
1570C22⋊C4—591no—
1571C22⋊C4—591no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
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⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4D4×D5911yescharacteristic
1605C22⋊C4D4×D5911yescharacteristic
1606C42—21no—
1607C42—591no—
1608C42—591no—
1609C42—591no—
1610C42—591no—
1611C42—591no—
1612C42—1181no—
1613C42—1181no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42C23×D5911yescharacteristic
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—42no—
1625C23—81no—
1626C23—81no—
1627C23—81no—
1628C23—81no—
1629C23—81no—
1630C23—591no—
1631C23—1181no—
1632C23—1181no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23C2×D4×D5911yescharacteristic
1637C23C2×D4×D5911yescharacteristic
1638Q8—21no—
1639Q8—1181no—
1640Q8—1181no—
1641Q8—1181no—
1642Q8—1181no—
1643Q8—4721no—
1644Q8—4721no—
1645Q8—2361no—
1646Q8—2362no—
1647Q8#1427377212yes—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—41no—
1659D4—42no—
1660D4—42no—
1661D4—42no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—81no—
1667D4—81no—
1668D4—81no—
1669D4—81no—
1670D4—81no—
1671D4—1181no—
1672D4—1181no—
1673D4—1181no—
1674D4—1181no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—2362no—
1691D4—2361no—
1692D4—2361no—
1693D4—2362no—
1694D4—2362no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—42no—
1703C2×C4—42no—
1704C2×C4—81no—
1705C2×C4—591no—
1706C2×C4—591no—
1707C2×C4—591no—
1708C2×C4—591no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—1181no—
1713C2×C4—1181no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—4721no—
1721C2×C4—4721no—
1722C2×C4—4721no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—2362no—
1734C2×C4—2361no—
1735C2×C4—2361no—
1736C2×C4—2362no—
1737C2×C4C2×D4×D5911yescharacteristic
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C24×D5911yescharacteristic
1742C8—21no—
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—1181no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C22—21no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—21no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—162no—
1772C22—162no—
1773C22—1181no—
1774C22—1181no—
1775C22—1181no—
1776C22—9442no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22C22×D4×D5911yescharacteristic
1784C4—21no—
1785C4—21no—
1786C4—22no—
1787C4—21no—
1788C4—21no—
1789C4—41no—
1790C4—41no—
1791C4—1181no—
1792C4—1181no—
1793C4—1181no—
1794C4—1181no—
1795C4—1181no—
1796C4—1181no—
1797C4—1181no—
1798C4—2361no—
1799C4—2361no—
1800C4—2361no—
1801C4—2361no—
1802C4—2361no—
1803C4—2361no—
1804C4C2×#1427377211yescharacteristic
1805C4#1683823711yescharacteristic
1806C2—41no—
1807C2—41no—
1808C2—81no—
1809C2—81no—
1810C2—81no—
1811C2—81no—
1812C2—81no—
1813C2—4721no—
1814C2—4721no—
1815C2—2361no—
1816C2#2143775611yescharacteristic
1817C2#2143887111yescharacteristic
1818C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3274C2
socleC22×C59C23×D4
hypercenter#3274D59
hypocenterC59#62093
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3274

Complements

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

NH ≅ G/Ntype
1. #21438610C2semidirect
2. #21438093C2semidirect
3. #21437143C2semidirect
4. #21437141C2semidirect
5. #21436860C2semidirect
6. #21436857C2semidirect
7. #21436355C2semidirect
8. #21436351C2semidirect
9. #21436237C2semidirect
10. #21436230C2semidirect
11. #21436061C2semidirect
12. #21436052C2semidirect
13. #21435710C2semidirect
14. #21435679C2semidirect
15. #21435677C2semidirect
16. #21435630C2semidirect
17. #21435629C2semidirect
18. #21435508C2semidirect
19. #21435503C2semidirect
20. #21435473C2semidirect
21. #21435142C2semidirect
22. #21435139C2semidirect
23. #21435080C2semidirect
24. #21434379C2semidirect
25. #21434374C2semidirect
26. #21434240C2semidirect
27. #21433639C2semidirect
28. #21433632C2semidirect
29. #21433588C2semidirect
30. #21433260C2semidirect
31. C59×#3274C2semidirect
32. C2×#14273757C22semidirect
33. C2×#14273754C22semidirect
34. C2×#14273748C22semidirect
35. C2×#14273747C22semidirect
40. #16838128C22semidirect
42. #16838099C22semidirect
44. #16838098C22semidirect
46. #16838072C22semidirect
47. #16838071C22semidirect
48. #16838071C22semidirect
52. #16838052C22semidirect
61. #16838006C22semidirect
63. #16838005C22semidirect
72. #16837947C22semidirect
76. #16837885C22semidirect
77. #16837884C22semidirect
78. #41×Dic59C22semidirect
79. #16837790C22semidirect
80. #16837790C22semidirect
81. #16837790C22semidirect
82. #16837789C22semidirect
86. #16837760C22semidirect
87. #16837760C22semidirect
88. #16837757C22semidirect
89. #16837755C22semidirect
90. #16837734C22semidirect
91. #16837733C22semidirect
92. #16837727C22semidirect
93. #16837723C22semidirect
96. #16837712C22semidirect
97. #16837710C22semidirect
98. #16837702C22semidirect
99. #16837700C22semidirect
100. #16837691C22semidirect
101. #16837691C22semidirect
102. #16837690C22semidirect
103. #16837690C22semidirect
104. #16837685C22semidirect
105. #16837680C22semidirect
106. #16837655C22semidirect
107. #16837653C22semidirect
108. #16837653C22semidirect
110. #16837648C22semidirect
111. #16837647C22semidirect
114. #16837630C22semidirect
115. #16837629C22semidirect
116. #16837624C22semidirect
117. #16837622C22semidirect
118. #16837622C22semidirect
119. #16837622C22semidirect
120. #16837622C22semidirect
121. #16837622C22semidirect
122. #16837618C22semidirect
123. #16837616C22semidirect
124. #16837616C22semidirect
125. #16837615C22semidirect
126. #16837615C22semidirect
127. #16837615C22semidirect
128. #16837615C22semidirect
129. #16837615C22semidirect
130. #16837615C22semidirect
131. #16837615C22semidirect
132. #16837601C22semidirect
134. #16837600C22semidirect
135. #16837599C22semidirect
136. #16837596C22semidirect
137. #16837596C22semidirect
139. #16837595C22semidirect
140. #16837595C22semidirect
141. #16837595C22semidirect
142. #16837595C22semidirect
144. #16837567C22semidirect
145. #16837564C22semidirect
146. #16837549C22semidirect
147. #16837547C22semidirect
149. #16837545C22semidirect
150. #16837544C22semidirect
151. #16837544C22semidirect
152. #16837543C22semidirect
153. #16837540C22semidirect
155. #16837536C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837532C22semidirect
159. #16837531C22semidirect
160. #16837514C22semidirect
161. #16837514C22semidirect
162. #16837512C22semidirect
163. #16837511C22semidirect
164. #16837507C22semidirect
165. #16837506C22semidirect
166. #16837505C22semidirect
167. #16837503C22semidirect
168. #16837493C22semidirect
169. C4×#11745660C22semidirect
170. SD16×Dic59C22semidirect
171. #16837478C22semidirect
172. #16837476C22semidirect
173. #16837474C22semidirect
174. #16837471C22semidirect
175. #16837470C22semidirect
176. #16837461C22semidirect
177. #16837460C22semidirect
178. #16837456C22semidirect
179. #16837430C22semidirect
180. #16837427C22semidirect
181. #16837425C22semidirect
182. #16837412C22semidirect
184. #16837404C22semidirect
185. #16837400C22semidirect
186. C2×#14273648C22semidirect
187. #102×D59C22semidirect
189. C2×AGL(1,ℤ/8)×C59C22semidirect
190. C59×#550C22semidirect
194. C59×#469C22semidirect
196. C59×#459C22semidirect
198. C59×#449C22semidirect
200. C59×#447C22semidirect
201. C4×SD16×C59C22semidirect
202. C59×#436C22semidirect
910. #3274D59semidirect
944. C2×AGL(1,ℤ/8)C2×D59semidirect
960. #550C2×D59semidirect
1025. #469C2×D59semidirect
1061. #459C2×D59semidirect
1071. #449C2×D59semidirect
1079. #447C2×D59semidirect
1093. C4×SD16C2×D59semidirect
1095. #436C2×D59semidirect
1112. C59#62093semidirect

Maximal subgroups

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

subgroupindex
#214386102
#214380932
#214371432
#214371412
#214368602
#214368572
#214363552
#214363512
#214362372
#214362302
#214360612
#214360522
#214357102
#214356792
#214356772
#214356302
#214356292
#214355082
#214355032
#214354732
#214351422
#214351392
#214350802
#214343792
#214343742
#214342402
#214336392
#214336322
#214335882
#214332602
C59×#32742
#6209359