Finite Group Databasebeta

← #29483896

Subgroups — #29483896

Order 15104.

1900 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438422C211yesmaximal, characteristic, complemented
2#21438197C211yesmaximal, characteristic, complemented
3#21437184C211yesmaximal, characteristic, complemented
4#21437141C211yesmaximal, characteristic, complemented
5#21436861C211yesmaximal, characteristic, complemented
6#21436829C211yesmaximal, characteristic, complemented
7#21436341C211yesmaximal, characteristic, complemented
8#21436313C211yesmaximal, characteristic, complemented
9#21436259C211yesmaximal, characteristic, complemented
10#21436233C211yesmaximal, characteristic, complemented
11#21436113C211yesmaximal, characteristic, complemented
12#21436103C211yesmaximal, characteristic, complemented
13#21435722C211yesmaximal, characteristic, complemented
14#21435710C211yesmaximal, characteristic, complemented
15#21435681C211yesmaximal, characteristic, complemented
16#21435636C211yesmaximal, characteristic, complemented
17#21435586C211yesmaximal, characteristic, complemented
18#21435585C211yesmaximal, characteristic, complemented
19#21435533C211yesmaximal, characteristic, complemented
20#21435509C211yesmaximal, characteristic, complemented
21#21435494C211yesmaximal, characteristic, complemented
22#21435190C211yesmaximal, characteristic, complemented
23#21435143C211yesmaximal, characteristic, complemented
24#21435113C211yesmaximal, characteristic, complemented
25#21434385C211yesmaximal, characteristic, complemented
26#21434295C211yesmaximal, characteristic, complemented
27#21434204C211yesmaximal, characteristic, complemented
28#21433615C211yesmaximal, characteristic, complemented
29#21433573C211yesmaximal, characteristic, complemented
30#21433264C211yesmaximal, characteristic, complemented
31C59×#3045C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic, complemented
33C2×#14273754C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×SD16×D59C2211yescharacteristic, complemented
36#16838141—21no—
37#16838140—21no—
38#16838135—21no—
39#16838135C2211yescharacteristic, complemented
40#16838134C2211yescharacteristic
41#16838131C2211yescharacteristic, complemented
42#16838117—21no—
43#16838117C2211yescharacteristic, complemented
44#16838100—21no—
45#16838100C2211yescharacteristic, complemented
46#16838087—21no—
47#16838087C2211yescharacteristic, complemented
48#16838072C2211yescharacteristic
49#16838071C2211yescharacteristic
50#16838071C2211yescharacteristic, complemented
51#16838064C2211yescharacteristic, complemented
52#16838059C2211yescharacteristic, complemented
53#16838045C2211yescharacteristic
54#16838041—21no—
55#16838040C2211yescharacteristic
56#16838037C2211yescharacteristic
57D4×C22⋊D59C2211yescharacteristic
58D4×C22⋊D59C2211yescharacteristic
59#16838034—21no—
60#16838023—21no—
61#16838023C2211yescharacteristic, complemented
62#16838007C2211yescharacteristic
63#16838006C2211yescharacteristic
64#16838003—21no—
65#16838003C2211yescharacteristic, complemented
66#16838002—21no—
67#16837970C2211yescharacteristic
68#16837967—21no—
69#16837962—21no—
70#16837960—21no—
71#127×D59C2211yescharacteristic
72#16837934—21no—
73#16837934C2211yescharacteristic, complemented
74#16837931C2211yescharacteristic
75#16837930—21no—
76#16837930C2211yescharacteristic
77#16837878C2211yescharacteristic, complemented
78C4×#11745689C2211yescharacteristic, complemented
79#16837790C2211yescharacteristic
80#16837790C2211yescharacteristic, complemented
81#16837789C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837784C2211yescharacteristic, complemented
84#16837777C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic
86#16837765C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic, complemented
88#16837761C2211yescharacteristic, complemented
89#16837758C2211yescharacteristic, complemented
90#16837748C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837725C2211yescharacteristic
93#16837725C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837720C2211yescharacteristic, complemented
96#16837715C2211yescharacteristic, complemented
97#16837710C2211yescharacteristic, complemented
98#16837709C2211yescharacteristic, complemented
99#16837707C2211yescharacteristic, complemented
100#16837704C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic, complemented
102#16837702C2211yescharacteristic, complemented
103#16837700C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837693C2211yescharacteristic, complemented
106#16837683C2211yescharacteristic, complemented
107#16837659C2211yescharacteristic, complemented
108#16837655C2211yescharacteristic, complemented
109#16837654C2211yescharacteristic, complemented
110#16837652C2211yescharacteristic
111#16837652C2211yescharacteristic, complemented
112#16837648C2211yescharacteristic, complemented
113#16837647C2211yescharacteristic
114#16837645C2211yescharacteristic, complemented
115#16837638C2211yescharacteristic, complemented
116#16837637C2211yescharacteristic, complemented
117#16837635C2211yescharacteristic, complemented
118#16837631C2211yescharacteristic, complemented
119#16837627C2211yescharacteristic, complemented
120#16837626C2211yescharacteristic, complemented
121#16837622C2211yescharacteristic, complemented
122#16837621C2211yescharacteristic, complemented
123#16837618C2211yescharacteristic, complemented
124#16837618C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic, complemented
127#16837603C2211yescharacteristic, complemented
128#16837602C2211yescharacteristic, complemented
129#16837601C2211yescharacteristic, complemented
130#16837600C2211yescharacteristic
131#16837600C2211yescharacteristic, complemented
132#16837600C2211yescharacteristic, complemented
133#16837599C2211yescharacteristic, complemented
134#16837598C2211yescharacteristic, complemented
135#16837597C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic
137#16837596C2211yescharacteristic, complemented
138#16837595C2211yescharacteristic, complemented
139#16837595C2211yescharacteristic, complemented
140#16837594C2211yescharacteristic, complemented
141#16837564C2211yescharacteristic, complemented
142#16837563C2211yescharacteristic, complemented
143#16837554C2211yescharacteristic, complemented
144#16837554C2211yescharacteristic, complemented
145#16837553C2211yescharacteristic, complemented
146#16837550C2211yescharacteristic, complemented
147#16837547C2211yescharacteristic, complemented
148#16837547C2211yescharacteristic, complemented
149#16837547C2211yescharacteristic, complemented
150#16837546C2211yescharacteristic
151#16837546C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837539C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837531C2211yescharacteristic, complemented
160#16837529C2211yescharacteristic, complemented
161#16837512C2211yescharacteristic, complemented
162#16837511C2211yescharacteristic, complemented
163#16837509C2211yescharacteristic, complemented
164#16837505C2211yescharacteristic, complemented
165#16837503C2211yescharacteristic, complemented
166#16837503C2211yescharacteristic, complemented
167#16837500C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169#16837493C2211yescharacteristic, complemented
170SD16×Dic59C2211yescharacteristic, complemented
171C4×#11745671C2211yescharacteristic, complemented
172C4×#11745669C2211yescharacteristic, complemented
173#16837479C2211yescharacteristic, complemented
174#16837478C2211yescharacteristic, complemented
175#16837473C2211yescharacteristic, complemented
176#16837473C2211yescharacteristic, complemented
177#16837472C2211yescharacteristic, complemented
178#16837471C2211yescharacteristic, complemented
179#16837463C2211yescharacteristic, complemented
180#16837462C2211yescharacteristic, complemented
181#16837458C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183#16837424C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837405C2211yescharacteristic, complemented
186#16837405C2211yescharacteristic, complemented
187#16837397C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C2×#135×C59C2211yescharacteristic, complemented
190C59×#535C2211yescharacteristic
191C59×#520C2211yescharacteristic, complemented
192C59×#464C2211yescharacteristic, complemented
193C59×#464C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#460C2211yescharacteristic, complemented
198C59×#459C2211yescharacteristic, complemented
199C59×#459C2211yescharacteristic, complemented
200C59×#424C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745687—21no—
206C2×Q8×D59C2311yescharacteristic
207C22×C22⋊D59—21no—
208C22×C22⋊D59—21no—
209C2×D4×D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215#14273759—42no—
216#14273754—42no—
217#14273754—42no—
218C2×#11745672C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227SD16×D59—42no—
228C2×D472C2311yescharacteristic
229C2×D472C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745659C2311yescharacteristic
236C2×#11745659C2311yescharacteristic
237C2×#11745659C2311yescharacteristic
238C2×C8×D59C2311yescharacteristic
239#14273727—21no—
240#14273727C2311yescharacteristic
241#14273724C2311yescharacteristic
242#14273723—21no—
243#14273723—21no—
244#14273723—21no—
245#14273723—21no—
246#14273723C2311yescharacteristic
247#14273723C2311yescharacteristic
248#14273723C2311yescharacteristic
249#14273723C2311yescharacteristic
250#14273722—21no—
251#14273722—21no—
252#14273722—21no—
253#14273722D411yescharacteristic
254#14273720—21no—
255#14273720—21no—
256#14273720D411yescharacteristic
257#14273719C2311yescharacteristic
258#14273718—21no—
259#14273718—21no—
260#14273718C2311yescharacteristic
261#14273718C2311yescharacteristic
262#14273717—21no—
263#14273717D411yescharacteristic
264#14273716C2311yescharacteristic
265#14273715—21no—
266#14273715C2311yescharacteristic
267#14273714—21no—
268#14273714C2311yescharacteristic
269#14273713—21no—
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713D411yescharacteristic
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712D411yescharacteristic
279#14273711—21no—
280#14273710—21no—
281#14273710—21no—
282#14273710—21no—
283#14273710—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709—21no—
291#14273709D411yescharacteristic
292#14273708—21no—
293#14273708—21no—
294#14273707—21no—
295#14273707C2311yescharacteristic
296#14273706—21no—
297#14273706C2311yescharacteristic
298#14273705—21no—
299#14273705D411yescharacteristic
300#14273703C2311yescharacteristic
301#14273702—21no—
302#14273702C2311yescharacteristic
303#14273701—21no—
304#14273701—21no—
305#14273701—21no—
306#14273701—21no—
307#14273701—21no—
308#14273701C2311yescharacteristic
309#14273701C2311yescharacteristic
310#14273701C2311yescharacteristic
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700D411yescharacteristic
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273698—21no—
326#14273698—21no—
327#14273698—21no—
328#14273698—21no—
329#14273698—21no—
330#14273698C2311yescharacteristic
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273698C2311yescharacteristic
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273696—21no—
339#14273696—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345Q8×Dic59C2311yescharacteristic
346Q8×Dic59C2311yescharacteristic
347Q8×Dic59C2311yescharacteristic
348C4×Dic118—21no—
349C4×Dic118—21no—
350C4×Dic118C2311yescharacteristic
351C4×Dic118C2311yescharacteristic
352#14273692—21no—
353#14273692C2311yescharacteristic
354C4×D236—21no—
355C4×D236—21no—
356C4×D236C2311yescharacteristic
357C4×D236C2311yescharacteristic
358C4×D236C2311yescharacteristic
359C4×D236C2311yescharacteristic
360D4×Dic59C2311yescharacteristic
361D4×Dic59C2311yescharacteristic
362D4×Dic59C2311yescharacteristic
363#14273689—21no—
364#14273689C2311yescharacteristic
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59C2311yescharacteristic
372C4×C22⋊D59C2311yescharacteristic
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375#14273686—21no—
376#14273686—21no—
377#14273686—21no—
378#14273685—21no—
379#14273685—21no—
380#14273685C2311yescharacteristic
381#14273685C2311yescharacteristic
382#14273684—21no—
383#14273684C2311yescharacteristic
384#14273683—21no—
385C2×(C2×D59)⋊C4—21no—
386C22⋊C4×D59—21no—
387C42×D59—21no—
388C42×D59C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273661C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273659C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428C22⋊(C59⋊C8)C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C2×#41×C59C2311yescharacteristic
441C22×D4×C59C2311yescharacteristic
442AGL(1,ℤ/8)×C59—42no—
443#135×C59—42no—
444C2×Q16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454#127×C59C2311yescharacteristic
455#127×C59C2311yescharacteristic
456#124×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#121×C59—21no—
459#121×C59—21no—
460#120×C59—21no—
461#120×C59—21no—
462C4×Q8×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59—21no—
465C4×D4×C59—21no—
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59C2311yescharacteristic
470C2×C4⋊C4×C59—21no—
471C2×C4⋊C4×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—22no—
489#41×C59—41no—
490#41×C59—41no—
491#41×C59—41no—
492C2×Q8×C59C2411yescharacteristic
493C2×Q8×C59C2411yescharacteristic
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—41no—
502C2×D4×C59—41no—
503C2×D4×C59C2411yescharacteristic
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
513C2×C22⋊D59—21no—
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—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—82no—
533C2×C22⋊D59—82no—
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539#11745689—22no—
540#11745689—41no—
541#11745689—41no—
542#11745689—41no—
543Q8×D59—22no—
544Q8×D59—41no—
545#11745687—82no—
546D4×D59—41no—
547D4×D59—41no—
548D4×D59—41no—
549D4×D59—41no—
550D4×D59—41no—
551D4×D59—41no—
552D4×D59—82no—
553D4×D59—82no—
554D4×D59—82no—
555C2×D236—21no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236—21no—
559C2×D236—21no—
560C2×D236C2×D411yescharacteristic
561C2×D236C2411yescharacteristic
562C2×D236C2411yescharacteristic
563C2×D236C2411yescharacteristic
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59C2×D411yescharacteristic
572C2×C4×D59C2×D411yescharacteristic
573C2×C4×D59C2411yescharacteristic
574C2×C4×D59C2411yescharacteristic
575C2×Dic118—21no—
576C2×Dic118—21no—
577C2×Dic118C2×D411yescharacteristic
578C2×Dic118C2411yescharacteristic
579Q16×C59—22no—
580SD16×C59—22no—
581SD16×C59—22no—
582SD16×C59—22no—
583SD16×C59—41no—
584D8×C59—41no—
585D8×C59—41no—
586D8×C59—41no—
587M16×C59—41no—
588C2×C8×C59—41no—
589C2×C8×C59C2411yescharacteristic
590C2×C8×C59C2411yescharacteristic
591C2×C8×C59C2411yescharacteristic
592C2×C8×C59C2411yescharacteristic
593C4⋊C4×C59—21no—
594C4⋊C4×C59—21no—
595C4⋊C4×C59—21no—
596C4⋊C4×C59C2×D411yescharacteristic
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×C59—21no—
606C22⋊C4×C59C2×D411yescharacteristic
607C22⋊C4×C59C2×D411yescharacteristic
608C42×C59—21no—
609C42×C59—21no—
610C42×C59C2411yescharacteristic
611C42×C59C2411yescharacteristic
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⋊Dic59C2×D411yescharacteristic
624C22⋊Dic59C2×D411yescharacteristic
625#11745672—41no—
626#11745671—22no—
627#11745671—22no—
628#11745671—41no—
629#11745670—41no—
630#11745670—41no—
631#11745670—41no—
632#11745669—41no—
633#11745669—41no—
634#11745669—41no—
635#11745669—41no—
636#11745669—41no—
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)⋊C4—21no—
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
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⋊Dic59—21no—
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⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685Dic59⋊C4C2×D411yescharacteristic
686C4×Dic59—21no—
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
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701D472—41no—
702D472—41no—
703#11745660—41no—
704#11745660—41no—
705#11745659—41no—
706#11745659—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59—81no—
716C23×C59C22×D411yescharacteristic
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—81no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59C22×D411yescharacteristic
730C22×D59C22×D411yescharacteristic
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59H(5,𝔽2)12yes—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—42no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59—81no—
749D4×C59—81no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—42no—
757C2×C4×C59—81no—
758C2×C4×C59—81no—
759C2×C4×C59—81no—
760C2×C4×C59—81no—
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C2511yescharacteristic
767C22⋊D59—41no—
768C22⋊D59—41no—
769C22⋊D59—42no—
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—
787C22⋊D59—81no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—42no—
794C2×Dic59—81no—
795C2×Dic59—81no—
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—41no—
809D236—42no—
810D236—81no—
811D236—81no—
812D236—81no—
813D236—81no—
814C4×D59—21no—
815C4×D59—21no—
816C4×D59—21no—
817C4×D59—21no—
818C4×D59—41no—
819C4×D59—41no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826C4×D59—81no—
827Dic118—21no—
828Dic118—21no—
829Dic118—41no—
830Dic118—42no—
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#62081—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
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—162no—
857C22×C59C23×D411yescharacteristic
858C2×D59—21no—
859C2×D59—21no—
860C2×D59—21no—
861C2×D59—21no—
862C2×D59—21no—
863C2×D59—21no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—162no—
874C2×D59—162no—
875C2×D59—162no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—22no—
881C4×C59—21no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59C2×H(5,𝔽2)11yescharacteristic
886C4×C59#58511yescharacteristic
887Dic59—21no—
888Dic59—21no—
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—41no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898#3543—591no—
899#3524—591no—
900#3403—591no—
901#3399—591no—
902#3371—591no—
903#3368—591no—
904#3325—591no—
905#3323—591no—
906#3319—591no—
907#3318—591no—
908#3310—591no—
909#3309—591no—
910#3275—591no—
911#3274—591no—
912#3271—591no—
913#3268—591no—
914#3265—591no—
915#3265—591no—
916#3259—591no—
917#3257—591no—
918#3256—591no—
919#3224—591no—
920#3220—591no—
921#3217—591no—
922#3126—591no—
923#3119—591no—
924#3111—591no—
925#3045D5911yescharacteristic, complemented
926#3043—591no—
927#3038—591no—
928#2995—591no—
929C2×C59—41no—
930C2×C59—81no—
931C2×C59—81no—
932C2×C59—81no—
933C2×C59—81no—
934C2×C59#348811yescharacteristic
935C2×C59#358511yescharacteristic
936C2×C59#358511yescharacteristic
937D59—41no—
938D59—41no—
939D59—81no—
940D59—81no—
941D59—81no—
942C2×#137—591no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
946C2×#135C2×D5911yescharacteristic, complemented
947C22×SD16—591no—
948#560—1181no—
949#560—1181no—
950#559—591no—
951#559—591no—
952#559—1181no—
953#557—591no—
954#555—591no—
955#555—1181no—
956#553—591no—
957#553—1181no—
958#552—591no—
959#552—1181no—
960#550—591no—
961#550—591no—
962#550—591no—
963#548—591no—
964#548—591no—
965#546—591no—
966#546—591no—
967#546—1181no—
968D42—591no—
969D42—591no—
970D42—591no—
971D42—1181no—
972#542—591no—
973#542—1181no—
974#540—591no—
975#540—591no—
976#540—591no—
977#540—1181no—
978#540—1181no—
979#535—591no—
980#535—1181no—
981#535C2×D5911yescharacteristic
982#534—1181no—
983#534—1181no—
984C2×#127—591no—
985#529—591no—
986#529—591no—
987#529—591no—
988#529—1181no—
989#529—1181no—
990#520C2×D5911yescharacteristic, complemented
991#519—591no—
992C4×#41—591no—
993#496—591no—
994#496—591no—
995#496—591no—
996#496—591no—
997#495—591no—
998#493—591no—
999#490—591no—
1000#490—591no—
1001#490—591no—
1002#489—591no—
1003#488—591no—
1004#486—591no—
1005#485—591no—
1006#482—591no—
1007#482—591no—
1008#482—591no—
1009#481—591no—
1010#480—591no—
1011#479—591no—
1012#479—591no—
1013#479—591no—
1014#478—591no—
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#476—591no—
1020#474—591no—
1021#470—591no—
1022#469—591no—
1023#469—591no—
1024#469—591no—
1025#469—591no—
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#466—591no—
1030#466—591no—
1031#466—591no—
1032#465—591no—
1033#464—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464C2×D5911yescharacteristic, complemented
1038#464C2×D5911yescharacteristic, complemented
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463C2×D5911yescharacteristic, complemented
1044#463C2×D5911yescharacteristic, complemented
1045#460—591no—
1046#460—591no—
1047#460—591no—
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460C2×D5911yescharacteristic, complemented
1053#460C2×D5911yescharacteristic, complemented
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#459C2×D5911yescharacteristic, complemented
1063#452—591no—
1064#452—591no—
1065#450—591no—
1066#450—591no—
1067#450—591no—
1068#449—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#448—591no—
1075#448—591no—
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#446—591no—
1082#446—591no—
1083#442—591no—
1084#442—591no—
1085#441—591no—
1086#440—591no—
1087#440—591no—
1088#440—591no—
1089#440—591no—
1090#440—591no—
1091C4×SD16—591no—
1092C4×SD16—591no—
1093C4×SD16—591no—
1094C4×D8—591no—
1095#436—591no—
1096#436—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#433—591no—
1102#433—591no—
1103#432—591no—
1104#424—591no—
1105#424C2×D5911yescharacteristic, complemented
1106#423—591no—
1107#418—591no—
1108#418—591no—
1109#418—591no—
1110#417C2×D5911yescharacteristic, complemented
1111#416—591no—
1112C2×#102C2×D5911yescharacteristic, complemented
1113C59#6208111yescharacteristic, complemented, Sylow
1114C2×#41—591no—
1115C2×#41—591no—
1116C2×#41—1181no—
1117C2×#41C22×D5911yescharacteristic
1118C2×#41C22×D5911yescharacteristic
1119C22×Q8—591no—
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—1181no—
1124C22×D4—1181no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C22×D4C22×D5911yescharacteristic
1129#137—2362no—
1130AGL(1,ℤ/8)—42no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133#135—42no—
1134C2×Q16—591no—
1135C2×Q16C22×D5911yescharacteristic
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—2362no—
1145C2×SD16C22×D5911yescharacteristic
1146C2×SD16C22×D5911yescharacteristic
1147C2×SD16C22×D5911yescharacteristic
1148C2×SD16C22×D5911yescharacteristic
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8C22×D5911yescharacteristic
1157C2×D8C22×D5911yescharacteristic
1158C2×D8C22×D5911yescharacteristic
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16C22×D5911yescharacteristic
1163C22×C8—591no—
1164C22×C8C22×D5911yescharacteristic
1165C4⋊Q8—591no—
1166C4⋊Q8—1181no—
1167#127—591no—
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—1181no—
1173#127—1181no—
1174#127—1181no—
1175#127—1181no—
1176#127C22×D5911yescharacteristic
1177#127C22×D5911yescharacteristic
1178#126—591no—
1179#126—591no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#125—591no—
1186#125—591no—
1187#125—591no—
1188#125—591no—
1189#125—1181no—
1190#125—1181no—
1191#125—1181no—
1192#124—591no—
1193#124—591no—
1194#124—591no—
1195#124—591no—
1196#124—1181no—
1197#124—1181no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124C22×D5911yescharacteristic
1204#124C22×D5911yescharacteristic
1205#123—591no—
1206#123—591no—
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—
1222#123—1181no—
1223#123—1181no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
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—591no—
1241#121—591no—
1242#121—591no—
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#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#120—21no—
1268#120—21no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279C4×Q8—591no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8—1181no—
1286C4×Q8—1181no—
1287C4×Q8—1181no—
1288C4×Q8C22×D5911yescharacteristic
1289C4×Q8C22×D5911yescharacteristic
1290C4×D4—21no—
1291C4×D4—21no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—591no—
1300C4×D4—591no—
1301C4×D4—591no—
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×D4C22×D5911yescharacteristic
1314C4×D4C22×D5911yescharacteristic
1315#117—21no—
1316#117—591no—
1317#117—591no—
1318#117—591no—
1319#117—1181no—
1320#117—1181no—
1321#117—1181no—
1322#117—1181no—
1323#117—1181no—
1324#117—1181no—
1325#117—1181no—
1326#117C22×D5911yescharacteristic
1327C2×C4⋊C4—21no—
1328C2×C4⋊C4C22×D5911yescharacteristic
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C42—591no—
1332C2×C42—1181no—
1333#107—591no—
1334#107—591no—
1335#107—591no—
1336#107—591no—
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8C22×D5911yescharacteristic
1348C4⋊C8C22×D5911yescharacteristic
1349C4⋊C8C22×D5911yescharacteristic
1350C4⋊C8C22×D5911yescharacteristic
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103C22×D5911yescharacteristic
1358#103C22×D5911yescharacteristic
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#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
1382#102C22×D5911yescharacteristic
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8—591no—
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393C4×C8—591no—
1394C4×C8—591no—
1395C24—21no—
1396C24—1181no—
1397C24—1181no—
1398C24—1181no—
1399#41—22no—
1400#41—41no—
1401#41—41no—
1402#41—41no—
1403#41—1182no—
1404#41—4722no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408C2×Q8—591no—
1409C2×Q8—591no—
1410C2×Q8—1181no—
1411C2×Q8—1181no—
1412C2×Q8—1182no—
1413C2×Q8—2361no—
1414C2×Q8C23×D5911yescharacteristic
1415C2×Q8C23×D5911yescharacteristic
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—41no—
1424C2×D4—41no—
1425C2×D4—591no—
1426C2×D4—591no—
1427C2×D4—591no—
1428C2×D4—591no—
1429C2×D4—591no—
1430C2×D4—591no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
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—4722no—
1456C2×D4—4722no—
1457C2×D4—4722no—
1458C2×D4—4722no—
1459C2×D4—4722no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4—2361no—
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C2×D4C23×D5911yescharacteristic
1469C2×D4C23×D5911yescharacteristic
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—21no—
1475C22×C4—591no—
1476C22×C4—591no—
1477C22×C4—591no—
1478C22×C4—591no—
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
1490Q16—22no—
1491Q16—2361no—
1492SD16—22no—
1493SD16—22no—
1494SD16—22no—
1495SD16—41no—
1496SD16—1182no—
1497SD16—1182no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503SD16—2361no—
1504D8—41no—
1505D8—41no—
1506D8—41no—
1507D8—2361no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513D8—2361no—
1514M16—41no—
1515M16—2361no—
1516M16—2361no—
1517M16—2361no—
1518C2×C8—41no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—591no—
1523C2×C8—2361no—
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C2×C8C23×D5911yescharacteristic
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
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⋊C4D4×D5911yescharacteristic
1560C4⋊C4C23×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—591no—
1569C22⋊C4—591no—
1570C22⋊C4—591no—
1571C22⋊C4—591no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
1574C22⋊C4—591no—
1575C22⋊C4—591no—
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⋊C4D4×D5911yescharacteristic
1604C22⋊C4D4×D5911yescharacteristic
1605C42—21no—
1606C42—21no—
1607C42—591no—
1608C42—591no—
1609C42—591no—
1610C42—591no—
1611C42—1181no—
1612C42—1181no—
1613C42—1181no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42C23×D5911yescharacteristic
1619C42C23×D5911yescharacteristic
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—81no—
1625C23—81no—
1626C23—81no—
1627C23—591no—
1628C23—591no—
1629C23—1181no—
1630C23—1181no—
1631C23—1181no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—2362no—
1640C23—2362no—
1641C23C2×D4×D5911yescharacteristic
1642Q8—21no—
1643Q8—21no—
1644Q8—21no—
1645Q8—1181no—
1646Q8—1181no—
1647Q8—4721no—
1648Q8—2361no—
1649Q8—2362no—
1650Q8#1427377212yes—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—42no—
1660D4—81no—
1661D4—81no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—81no—
1666D4—1181no—
1667D4—1181no—
1668D4—1181no—
1669D4—1181no—
1670D4—1181no—
1671D4—1181no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
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—4721no—
1691D4—4721no—
1692D4—2361no—
1693D4—2362no—
1694D4—2361no—
1695D4—2361no—
1696D4—2362no—
1697D4—2362no—
1698D4—2362no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—42no—
1706C2×C4—81no—
1707C2×C4—81no—
1708C2×C4—81no—
1709C2×C4—81no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—591no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—2361no—
1733C2×C4—2361no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4C2×D4×D5911yescharacteristic
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C24×D5911yescharacteristic
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—162no—
1767C22—1181no—
1768C22—1181no—
1769C22—1181no—
1770C22—1181no—
1771C22—1181no—
1772C22—1181no—
1773C22—9442no—
1774C22—9442no—
1775C22—9442no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22C22×D4×D5911yescharacteristic
1786C4—21no—
1787C4—22no—
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—1181no—
1796C4—1181no—
1797C4—1181no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—2361no—
1802C4—2361no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4C2×#1427377211yescharacteristic
1807C4#1683823811yescharacteristic
1808C2—41no—
1809C2—81no—
1810C2—81no—
1811C2—81no—
1812C2—81no—
1813C2—4721no—
1814C2—4721no—
1815C2—4721no—
1816C2—2361no—
1817C2—2361no—
1818C2#2143776111yescharacteristic
1819C2#2143887111yescharacteristic
1820C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3045C2
socleC22×C59C23×D4
hypercenter#3045D59
hypocenterC59#62081
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3045

Complements

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

NH ≅ G/Ntype
1. #21438422C2semidirect
2. #21438197C2semidirect
3. #21437184C2semidirect
4. #21437141C2semidirect
5. #21436861C2semidirect
6. #21436829C2semidirect
7. #21436341C2semidirect
8. #21436313C2semidirect
9. #21436259C2semidirect
10. #21436233C2semidirect
11. #21436113C2semidirect
12. #21436103C2semidirect
13. #21435722C2semidirect
14. #21435710C2semidirect
15. #21435681C2semidirect
16. #21435636C2semidirect
17. #21435586C2semidirect
18. #21435585C2semidirect
19. #21435533C2semidirect
20. #21435509C2semidirect
21. #21435494C2semidirect
22. #21435190C2semidirect
23. #21435143C2semidirect
24. #21435113C2semidirect
25. #21434385C2semidirect
26. #21434295C2semidirect
27. #21434204C2semidirect
28. #21433615C2semidirect
29. #21433573C2semidirect
30. #21433264C2semidirect
31. C59×#3045C2semidirect
32. C2×#14273759C22semidirect
33. C2×#14273754C22semidirect
34. C2×#14273754C22semidirect
35. C2×SD16×D59C22semidirect
39. #16838135C22semidirect
41. #16838131C22semidirect
43. #16838117C22semidirect
45. #16838100C22semidirect
47. #16838087C22semidirect
50. #16838071C22semidirect
51. #16838064C22semidirect
52. #16838059C22semidirect
61. #16838023C22semidirect
65. #16838003C22semidirect
73. #16837934C22semidirect
77. #16837878C22semidirect
78. C4×#11745689C22semidirect
80. #16837790C22semidirect
81. #16837789C22semidirect
82. #16837788C22semidirect
83. #16837784C22semidirect
84. #16837777C22semidirect
86. #16837765C22semidirect
87. #16837765C22semidirect
88. #16837761C22semidirect
89. #16837758C22semidirect
90. #16837748C22semidirect
91. #16837742C22semidirect
93. #16837725C22semidirect
94. #16837724C22semidirect
95. #16837720C22semidirect
96. #16837715C22semidirect
97. #16837710C22semidirect
98. #16837709C22semidirect
99. #16837707C22semidirect
100. #16837704C22semidirect
101. #16837703C22semidirect
102. #16837702C22semidirect
103. #16837700C22semidirect
104. #16837700C22semidirect
105. #16837693C22semidirect
106. #16837683C22semidirect
107. #16837659C22semidirect
108. #16837655C22semidirect
109. #16837654C22semidirect
111. #16837652C22semidirect
112. #16837648C22semidirect
114. #16837645C22semidirect
115. #16837638C22semidirect
116. #16837637C22semidirect
117. #16837635C22semidirect
118. #16837631C22semidirect
119. #16837627C22semidirect
120. #16837626C22semidirect
121. #16837622C22semidirect
122. #16837621C22semidirect
123. #16837618C22semidirect
124. #16837618C22semidirect
125. #16837615C22semidirect
126. #16837614C22semidirect
127. #16837603C22semidirect
128. #16837602C22semidirect
129. #16837601C22semidirect
131. #16837600C22semidirect
132. #16837600C22semidirect
133. #16837599C22semidirect
134. #16837598C22semidirect
135. #16837597C22semidirect
137. #16837596C22semidirect
138. #16837595C22semidirect
139. #16837595C22semidirect
140. #16837594C22semidirect
141. #16837564C22semidirect
142. #16837563C22semidirect
143. #16837554C22semidirect
144. #16837554C22semidirect
145. #16837553C22semidirect
146. #16837550C22semidirect
147. #16837547C22semidirect
148. #16837547C22semidirect
149. #16837547C22semidirect
151. #16837546C22semidirect
152. #16837539C22semidirect
153. #16837539C22semidirect
154. #16837537C22semidirect
155. #16837536C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837531C22semidirect
160. #16837529C22semidirect
161. #16837512C22semidirect
162. #16837511C22semidirect
163. #16837509C22semidirect
164. #16837505C22semidirect
165. #16837503C22semidirect
166. #16837503C22semidirect
167. #16837500C22semidirect
168. #16837499C22semidirect
169. #16837493C22semidirect
170. SD16×Dic59C22semidirect
171. C4×#11745671C22semidirect
172. C4×#11745669C22semidirect
173. #16837479C22semidirect
174. #16837478C22semidirect
175. #16837473C22semidirect
176. #16837473C22semidirect
177. #16837472C22semidirect
178. #16837471C22semidirect
179. #16837463C22semidirect
180. #16837462C22semidirect
181. #16837458C22semidirect
182. #16837427C22semidirect
183. #16837424C22semidirect
184. #16837405C22semidirect
185. #16837405C22semidirect
186. #16837405C22semidirect
187. #16837397C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C2×#135×C59C22semidirect
191. C59×#520C22semidirect
192. C59×#464C22semidirect
193. C59×#464C22semidirect
194. C59×#463C22semidirect
195. C59×#463C22semidirect
196. C59×#460C22semidirect
197. C59×#460C22semidirect
198. C59×#459C22semidirect
199. C59×#459C22semidirect
200. C59×#424C22semidirect
201. C59×#417C22semidirect
202. C2×#102×C59C22semidirect
925. #3045D59semidirect
945. C2×AGL(1,ℤ/8)C2×D59semidirect
946. C2×#135C2×D59semidirect
990. #520C2×D59semidirect
1037. #464C2×D59semidirect
1038. #464C2×D59semidirect
1043. #463C2×D59semidirect
1044. #463C2×D59semidirect
1052. #460C2×D59semidirect
1053. #460C2×D59semidirect
1061. #459C2×D59semidirect
1062. #459C2×D59semidirect
1105. #424C2×D59semidirect
1110. #417C2×D59semidirect
1112. C2×#102C2×D59semidirect
1113. C59#62081semidirect

Maximal subgroups

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

subgroupindex
#214384222
#214381972
#214371842
#214371412
#214368612
#214368292
#214363412
#214363132
#214362592
#214362332
#214361132
#214361032
#214357222
#214357102
#214356812
#214356362
#214355862
#214355852
#214355332
#214355092
#214354942
#214351902
#214351432
#214351132
#214343852
#214342952
#214342042
#214336152
#214335732
#214332642
C59×#30452
#6208159