Finite Group Databasebeta

← #29485891

Subgroups — #29485891

Order 15104.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438731C211yesmaximal, characteristic, complemented
2#21438025C211yesmaximal, characteristic, complemented
3#21437052C211yesmaximal, characteristic, complemented
4#21436966C211yesmaximal, characteristic, complemented
5#21436870C211yesmaximal, characteristic, complemented
6#21436751C211yesmaximal, characteristic, complemented
7#21436686C211yesmaximal, characteristic, complemented
8#21436658C211yesmaximal, characteristic, complemented
9#21436651C211yesmaximal, characteristic, complemented
10#21436624C211yesmaximal, characteristic, complemented
11#21436540C211yesmaximal, characteristic, complemented
12#21436492C211yesmaximal, characteristic, complemented
13#21436323C211yesmaximal, characteristic, complemented
14#21436313C211yesmaximal, characteristic, complemented
15#21436256C211yesmaximal, characteristic, complemented
16#21436241C211yesmaximal, characteristic, complemented
17#21435931C211yesmaximal, characteristic, complemented
18#21435553C211yesmaximal, characteristic, complemented
19#21435508C211yesmaximal, characteristic, complemented
20#21435494C211yesmaximal, characteristic, complemented
21#21435400C211yesmaximal, characteristic, complemented
22#21435345C211yesmaximal, characteristic, complemented
23#21435270C211yesmaximal, characteristic, complemented
24#21434374C211yesmaximal, characteristic, complemented
25#21434273C211yesmaximal, characteristic, complemented
26#21434141C211yesmaximal, characteristic, complemented
27#21433951C211yesmaximal, characteristic, complemented
28#21433929C211yesmaximal, characteristic, complemented
29#21433891C211yesmaximal, characteristic, complemented
30#21433240C211yesmaximal, characteristic, complemented
31C59×#3322C211yesmaximal, characteristic, complemented
32#16838154—21no—
33#16838147—21no—
34#16838134C2211yescharacteristic
35#16838129C2211yescharacteristic, complemented
36#16838122—21no—
37#16838120C2211yescharacteristic
38#16838116C2211yescharacteristic, complemented
39#16838111C2211yescharacteristic
40#16838111C2211yescharacteristic, complemented
41#16838104C2211yescharacteristic
42#16838098C2211yescharacteristic
43#16838095—21no—
44#16838092C2211yescharacteristic, complemented
45#16838089—21no—
46#16838087C2211yescharacteristic, complemented
47#16838086C2211yescharacteristic
48#16838078—21no—
49#16838075—21no—
50#16838052C2211yescharacteristic
51#16838040C2211yescharacteristic
52#16838039—21no—
53D4×C22⋊D59C2211yescharacteristic
54#16838033C2211yescharacteristic, complemented
55#16838030C2211yescharacteristic, complemented
56#16838025C2211yescharacteristic
57#16838020—21no—
58#16838019—21no—
59#16838019C2211yescharacteristic, complemented
60#16838019C2211yescharacteristic, complemented
61#16838009—21no—
62#16838005C2211yescharacteristic
63#16837996—21no—
64#16837994—21no—
65#16837987—21no—
66#16837958C2211yescharacteristic, complemented
67#16837934C2211yescharacteristic
68#16837934C2211yescharacteristic, complemented
69#16837931C2211yescharacteristic
70#16837912—21no—
71C2×#14273709—21no—
72#16837885C2211yescharacteristic
73#16837877C2211yescharacteristic
74C4×D4×D59C2211yescharacteristic
75#16837810C2211yescharacteristic, complemented
76#16837810C2211yescharacteristic, complemented
77#16837804C2211yescharacteristic, complemented
78#16837803C2211yescharacteristic, complemented
79#16837801C2211yescharacteristic, complemented
80#16837799C2211yescharacteristic, complemented
81#16837765C2211yescharacteristic
82#16837763C2211yescharacteristic, complemented
83#16837758C2211yescharacteristic, complemented
84#16837756C2211yescharacteristic, complemented
85#16837747C2211yescharacteristic
86#16837744C2211yescharacteristic, complemented
87#16837742C2211yescharacteristic, complemented
88#16837741C2211yescharacteristic, complemented
89#16837739C2211yescharacteristic, complemented
90#16837733C2211yescharacteristic, complemented
91#16837730C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837726C2211yescharacteristic
94#16837725C2211yescharacteristic
95#16837724C2211yescharacteristic
96#16837723C2211yescharacteristic, complemented
97#16837723C2211yescharacteristic, complemented
98#16837721C2211yescharacteristic
99#16837720C2211yescharacteristic, complemented
100#16837719C2211yescharacteristic, complemented
101#16837718C2211yescharacteristic, complemented
102#16837712C2211yescharacteristic, complemented
103#16837710C2211yescharacteristic, complemented
104#16837707C2211yescharacteristic, complemented
105#16837707C2211yescharacteristic, complemented
106#16837705C2211yescharacteristic, complemented
107#16837704C2211yescharacteristic
108#16837704C2211yescharacteristic
109#16837704C2211yescharacteristic, complemented
110#16837703C2211yescharacteristic, complemented
111#16837702C2211yescharacteristic
112#16837702C2211yescharacteristic, complemented
113#16837700C2211yescharacteristic
114#16837700C2211yescharacteristic, complemented
115#16837700C2211yescharacteristic, complemented
116#16837699C2211yescharacteristic, complemented
117#16837696C2211yescharacteristic, complemented
118#16837695C2211yescharacteristic, complemented
119#16837695C2211yescharacteristic, complemented
120#16837691C2211yescharacteristic, complemented
121#16837690C2211yescharacteristic
122#16837690C2211yescharacteristic, complemented
123#16837690C2211yescharacteristic, complemented
124#16837685C2211yescharacteristic, complemented
125#16837681C2211yescharacteristic, complemented
126#16837680C2211yescharacteristic
127#16837680C2211yescharacteristic
128#16837680C2211yescharacteristic
129#16837680C2211yescharacteristic, complemented
130#16837680C2211yescharacteristic, complemented
131#16837659C2211yescharacteristic, complemented
132#16837652C2211yescharacteristic
133#16837648C2211yescharacteristic
134#16837648C2211yescharacteristic, complemented
135#16837647C2211yescharacteristic
136#16837645C2211yescharacteristic, complemented
137#16837641C2211yescharacteristic, complemented
138#16837636C2211yescharacteristic
139#16837636C2211yescharacteristic, complemented
140#16837629C2211yescharacteristic, complemented
141#16837627C2211yescharacteristic, complemented
142#16837622C2211yescharacteristic, complemented
143#16837621C2211yescharacteristic, complemented
144#16837619C2211yescharacteristic, complemented
145#16837616C2211yescharacteristic, complemented
146#16837615C2211yescharacteristic
147#16837615C2211yescharacteristic, complemented
148#16837601C2211yescharacteristic
149#16837595C2211yescharacteristic
150#16837564C2211yescharacteristic
151#16837554C2211yescharacteristic
152#16837553C2211yescharacteristic
153#16837534C2211yescharacteristic
154#16837532C2211yescharacteristic, complemented
155#16837526C2211yescharacteristic, complemented
156#16837514C2211yescharacteristic
157#16837514C2211yescharacteristic
158#16837506C2211yescharacteristic, complemented
159#16837499C2211yescharacteristic, complemented
160#16837493C2211yescharacteristic
161#16837493C2211yescharacteristic
162C4×#11745660C2211yescharacteristic, complemented
163SD16×Dic59C2211yescharacteristic, complemented
164C4×#11745670C2211yescharacteristic
165D8×Dic59C2211yescharacteristic, complemented
166C4×#11745669C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic
168#16837478C2211yescharacteristic, complemented
169#16837470C2211yescharacteristic
170#16837470C2211yescharacteristic, complemented
171D4×C59⋊C8C2211yescharacteristic, complemented
172#16837460C2211yescharacteristic, complemented
173#16837460C2211yescharacteristic, complemented
174#16837453C2211yescharacteristic, complemented
175#16837444C2211yescharacteristic, complemented
176#16837444C2211yescharacteristic, complemented
177#16837443C2211yescharacteristic, complemented
178#16837441C2211yescharacteristic, complemented
179#16837438C2211yescharacteristic, complemented
180C2×#14273660C2211yescharacteristic, complemented
181#16837430C2211yescharacteristic, complemented
182#16837430C2211yescharacteristic, complemented
183#16837424C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic
185#16837405C2211yescharacteristic
186#16837398C2211yescharacteristic
187C2×#14273648C2211yescharacteristic
188C59×#553C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic
190C59×#488C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic
194C59×#469C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic
198C59×#447C2211yescharacteristic
199C4×D8×C59C2211yescharacteristic
200C59×#436C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic
202C59×#417C2211yescharacteristic
203C2×#11745687—21no—
204C22×C22⋊D59—21no—
205C2×D4×D59C2311yescharacteristic
206C22×C4×D59—21no—
207C2×#11745672C2311yescharacteristic
208C2×#11745660C2311yescharacteristic
209C2×#11745670C2311yescharacteristic
210C2×#11745670C2311yescharacteristic
211C2×#11745669C2311yescharacteristic
212C2×#11745659C2311yescharacteristic
213C2×#11745659C2311yescharacteristic
214C22×C59⋊C8C2311yescharacteristic
215C22×C59⋊C8C2311yescharacteristic
216#14273727—21no—
217#14273726—21no—
218#14273726—21no—
219#14273726C2311yescharacteristic
220#14273726C2311yescharacteristic
221#14273726C2311yescharacteristic
222#14273726C2311yescharacteristic
223#14273726C2311yescharacteristic
224#14273723C2311yescharacteristic
225#14273722—21no—
226#14273722—21no—
227#14273722—21no—
228#14273721—21no—
229#14273720—21no—
230#14273720—21no—
231#14273720—21no—
232#14273720—21no—
233#14273720—21no—
234#14273720—21no—
235#14273720—21no—
236#14273720—21no—
237#14273720D411yescharacteristic
238#14273720D411yescharacteristic
239#14273719—21no—
240#14273719C2311yescharacteristic
241#14273719C2311yescharacteristic
242#14273718—21no—
243#14273718D411yescharacteristic
244#14273718C2311yescharacteristic
245#14273718C2311yescharacteristic
246#14273718C2311yescharacteristic
247#14273718C2311yescharacteristic
248#14273717—21no—
249#14273717—21no—
250#14273717—21no—
251#14273717—21no—
252#14273717—21no—
253#14273716C2311yescharacteristic
254#14273714—21no—
255#14273714—21no—
256#14273714—21no—
257#14273714D411yescharacteristic
258#14273714C2311yescharacteristic
259#14273713—21no—
260#14273713—21no—
261#14273713—21no—
262#14273713—21no—
263#14273711—21no—
264#14273711—21no—
265#14273711—21no—
266#14273710—21no—
267#14273710—21no—
268#14273709—21no—
269#14273709—21no—
270#14273709—21no—
271#14273709—21no—
272#14273709—21no—
273#14273709—21no—
274#14273709—21no—
275#14273709—21no—
276#14273709D411yescharacteristic
277#14273709D411yescharacteristic
278#14273708—21no—
279#14273708—21no—
280#14273708—21no—
281#14273708—21no—
282#14273707—21no—
283#14273707D411yescharacteristic
284#14273707C2311yescharacteristic
285#14273706—21no—
286#14273706—21no—
287#14273706—21no—
288#14273706—21no—
289#14273706C2311yescharacteristic
290#14273706C2311yescharacteristic
291#14273705—21no—
292#14273705—21no—
293#14273704—21no—
294#14273704—21no—
295#14273704—21no—
296#14273704—21no—
297#14273704—21no—
298#14273704—21no—
299#14273704—21no—
300#14273704—21no—
301#14273704—21no—
302#14273703C2311yescharacteristic
303#14273701C2311yescharacteristic
304#14273701C2311yescharacteristic
305#14273699—21no—
306#14273699—21no—
307#14273699—21no—
308#14273699—21no—
309#14273699—21no—
310#14273699—21no—
311#14273698—21no—
312#14273698D411yescharacteristic
313#14273698C2311yescharacteristic
314#14273698C2311yescharacteristic
315#14273696—21no—
316#14273695—21no—
317#14273695—21no—
318Q8×Dic59C2311yescharacteristic
319Q8×Dic59C2311yescharacteristic
320C4×Dic118—21no—
321C4×Dic118C2311yescharacteristic
322C4×Dic118C2311yescharacteristic
323#14273692—21no—
324#14273692—21no—
325#14273692—21no—
326#14273692C2311yescharacteristic
327#14273692C2311yescharacteristic
328C4×D236C2311yescharacteristic
329D4×Dic59—21no—
330D4×Dic59—21no—
331D4×Dic59—21no—
332D4×Dic59—21no—
333D4×Dic59—21no—
334D4×Dic59C2311yescharacteristic
335D4×Dic59C2311yescharacteristic
336D4×Dic59C2311yescharacteristic
337D4×Dic59C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340D4×Dic59C2311yescharacteristic
341#14273689C2311yescharacteristic
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59C2311yescharacteristic
345C4×C22⋊D59C2311yescharacteristic
346(C22⋊D59)⋊C4—21no—
347(C22⋊D59)⋊C4—21no—
348(C22⋊D59)⋊C4—21no—
349(C22⋊D59)⋊C4—21no—
350#14273686—21no—
351#14273686—21no—
352#14273686—21no—
353#14273686C2311yescharacteristic
354#14273686C2311yescharacteristic
355#14273686C2311yescharacteristic
356#14273686C2311yescharacteristic
357#14273685—21no—
358#14273685C2311yescharacteristic
359#14273685C2311yescharacteristic
360#14273683—21no—
361#14273683—21no—
362#14273683—21no—
363C2×C4⋊Dic59—21no—
364C2×C4⋊Dic59C2311yescharacteristic
365C2×C4⋊Dic59C2311yescharacteristic
366C2×Dic59⋊C4—21no—
367C2×Dic59⋊C4—21no—
368C4⋊C4×D59C2311yescharacteristic
369C2×C22⋊Dic59—21no—
370C2×C22⋊Dic59—21no—
371C2×(C2×D59)⋊C4—21no—
372C22⋊C4×D59—21no—
373C42×D59C2311yescharacteristic
374#14273661C2311yescharacteristic
375#14273661C2311yescharacteristic
376#14273661C2311yescharacteristic
377#14273661C2311yescharacteristic
378#14273660C2311yescharacteristic
379#14273660C2311yescharacteristic
380#14273660C2311yescharacteristic
381#14273660C2311yescharacteristic
382#14273660C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273659C2311yescharacteristic
385#14273659C2311yescharacteristic
386#14273659C2311yescharacteristic
387#14273659C2311yescharacteristic
388#14273659C2311yescharacteristic
389#14273658C2311yescharacteristic
390#14273658C2311yescharacteristic
391#14273658C2311yescharacteristic
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#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432C4×C59⋊C8C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C2×#41×C59C2311yescharacteristic
436C22×D4×C59C2311yescharacteristic
437C2×SD16×C59C2311yescharacteristic
438C2×D8×C59C2311yescharacteristic
439C2×D8×C59C2311yescharacteristic
440C2×M16×C59C2311yescharacteristic
441C2×M16×C59C2311yescharacteristic
442#126×C59—21no—
443#125×C59C2311yescharacteristic
444#124×C59C2311yescharacteristic
445#123×C59—21no—
446#123×C59—21no—
447C22⋊Q8×C59C2311yescharacteristic
448#121×C59—21no—
449#121×C59—21no—
450#121×C59C2311yescharacteristic
451#121×C59C2311yescharacteristic
452#121×C59C2311yescharacteristic
453#120×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458#117×C59C2311yescharacteristic
459C2×C4⋊C4×C59C2311yescharacteristic
460C2×C22⋊C4×C59—21no—
461#107×C59C2311yescharacteristic
462#107×C59C2311yescharacteristic
463#106×C59C2311yescharacteristic
464C4⋊C8×C59C2311yescharacteristic
465#103×C59C2311yescharacteristic
466#103×C59C2311yescharacteristic
467#103×C59C2311yescharacteristic
468#102×C59C2311yescharacteristic
469#102×C59C2311yescharacteristic
470#102×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475C22⋊C8×C59C2311yescharacteristic
476C22⋊C8×C59C2311yescharacteristic
477C4×C8×C59C2311yescharacteristic
478C24×C59—21no—
479C23×D59—21no—
480#41×C59—22no—
481#41×C59—41no—
482C2×Q8×C59C2411yescharacteristic
483C2×D4×C59—22no—
484C2×D4×C59—21no—
485C2×D4×C59—21no—
486C2×D4×C59—21no—
487C2×D4×C59—21no—
488C2×D4×C59—21no—
489C2×D4×C59—41no—
490C2×D4×C59C2×D411yescharacteristic
491C2×D4×C59C2411yescharacteristic
492C2×D4×C59C2411yescharacteristic
493C2×D4×C59C2411yescharacteristic
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59C2411yescharacteristic
499C22×C4×C59C2411yescharacteristic
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—82no—
508C2×C22⋊D59C2×D411yescharacteristic
509C2×C22⋊D59C2×D411yescharacteristic
510C22×Dic59—21no—
511C22×Dic59—21no—
512C22×Dic59—21no—
513C22×Dic59—21no—
514C22×Dic59—21no—
515C22×Dic59—21no—
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519#11745687—82no—
520D4×D59—22no—
521D4×D59—41no—
522C2×D236C2411yescharacteristic
523C2×C4×D59—21no—
524C2×C4×D59—21no—
525C2×C4×D59—21no—
526C2×C4×D59—82no—
527C2×C4×D59C2×D411yescharacteristic
528C2×C4×D59C2×D411yescharacteristic
529C2×C4×D59C2411yescharacteristic
530C2×Dic118—21no—
531C2×Dic118—21no—
532C2×Dic118—21no—
533C2×Dic118—21no—
534C2×Dic118—21no—
535C2×Dic118C2×D411yescharacteristic
536C2×Dic118C2411yescharacteristic
537SD16×C59—41no—
538D8×C59—22no—
539D8×C59—41no—
540M16×C59—41no—
541M16×C59—41no—
542C2×C8×C59C2411yescharacteristic
543C2×C8×C59C2411yescharacteristic
544C2×C8×C59C2411yescharacteristic
545C2×C8×C59C2411yescharacteristic
546C4⋊C4×C59—21no—
547C4⋊C4×C59—21no—
548C4⋊C4×C59—21no—
549C4⋊C4×C59—21no—
550C4⋊C4×C59C2×D411yescharacteristic
551C4⋊C4×C59C2411yescharacteristic
552C4⋊C4×C59C2411yescharacteristic
553C4⋊C4×C59C2411yescharacteristic
554C4⋊C4×C59C2411yescharacteristic
555C22⋊C4×C59—21no—
556C22⋊C4×C59—21no—
557C22⋊C4×C59—21no—
558C22⋊C4×C59—21no—
559C22⋊C4×C59—21no—
560C22⋊C4×C59—21no—
561C22⋊C4×C59—21no—
562C22⋊C4×C59—21no—
563C22⋊C4×C59—21no—
564C22⋊C4×C59C2×D411yescharacteristic
565C22⋊C4×C59C2×D411yescharacteristic
566C42×C59—21no—
567C42×C59C2411yescharacteristic
568C22⋊Dic59—21no—
569C22⋊Dic59—21no—
570C22⋊Dic59—21no—
571C22⋊Dic59—21no—
572C22⋊Dic59—21no—
573C22⋊Dic59—21no—
574C22⋊Dic59—21no—
575C22⋊Dic59—21no—
576C22⋊Dic59—21no—
577C22⋊Dic59—21no—
578C22⋊Dic59—21no—
579C22⋊Dic59—21no—
580C22⋊Dic59—21no—
581C22⋊Dic59—21no—
582C22⋊Dic59—21no—
583C22⋊Dic59C2×D411yescharacteristic
584C22⋊Dic59C2×D411yescharacteristic
585C22⋊Dic59C2×D411yescharacteristic
586C22⋊Dic59C2×D411yescharacteristic
587C22⋊Dic59C2×D411yescharacteristic
588C22⋊Dic59C2×D411yescharacteristic
589#11745672—41no—
590#11745670—22no—
591#11745670—41no—
592#11745669—41no—
593(C2×D59)⋊C4—21no—
594(C2×D59)⋊C4—21no—
595(C2×D59)⋊C4—21no—
596(C2×D59)⋊C4—21no—
597(C2×D59)⋊C4—21no—
598(C2×D59)⋊C4—21no—
599(C2×D59)⋊C4—21no—
600(C2×D59)⋊C4—21no—
601(C2×D59)⋊C4—21no—
602(C2×D59)⋊C4—21no—
603(C2×D59)⋊C4C2×D411yescharacteristic
604(C2×D59)⋊C4C2×D411yescharacteristic
605C4⋊Dic59—21no—
606C4⋊Dic59—21no—
607C4⋊Dic59—21no—
608C4⋊Dic59—21no—
609C4⋊Dic59—21no—
610C4⋊Dic59—21no—
611C4⋊Dic59—21no—
612C4⋊Dic59—21no—
613C4⋊Dic59—21no—
614C4⋊Dic59C2×D411yescharacteristic
615C4⋊Dic59C2×D411yescharacteristic
616C4⋊Dic59C2×D411yescharacteristic
617C4⋊Dic59C2×D411yescharacteristic
618C4⋊Dic59C2×D411yescharacteristic
619C4⋊Dic59C2411yescharacteristic
620C4⋊Dic59C2411yescharacteristic
621C4⋊Dic59C2411yescharacteristic
622C4⋊Dic59C2411yescharacteristic
623C4⋊Dic59C2411yescharacteristic
624C4⋊Dic59C2411yescharacteristic
625Dic59⋊C4—21no—
626Dic59⋊C4—21no—
627Dic59⋊C4—21no—
628Dic59⋊C4—21no—
629Dic59⋊C4—21no—
630Dic59⋊C4—21no—
631Dic59⋊C4—21no—
632Dic59⋊C4—21no—
633Dic59⋊C4—21no—
634Dic59⋊C4—21no—
635Dic59⋊C4—21no—
636Dic59⋊C4—21no—
637Dic59⋊C4—21no—
638Dic59⋊C4—21no—
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4C2×D411yescharacteristic
646Dic59⋊C4C2×D411yescharacteristic
647Dic59⋊C4C2×D411yescharacteristic
648Dic59⋊C4C2×D411yescharacteristic
649C4×Dic59—21no—
650C4×Dic59—21no—
651C4×Dic59—21no—
652C4×Dic59—21no—
653C4×Dic59—21no—
654C4×Dic59—21no—
655C4×Dic59—21no—
656C4×Dic59—21no—
657C4×Dic59—21no—
658C4×Dic59C2×D411yescharacteristic
659C4×Dic59C2×D411yescharacteristic
660C4×Dic59C2411yescharacteristic
661C4×Dic59C2411yescharacteristic
662C4×Dic59C2411yescharacteristic
663C2×C59⋊C8—41no—
664C2×C59⋊C8—41no—
665C2×C59⋊C8C2411yescharacteristic
666C2×C59⋊C8C2411yescharacteristic
667C2×C59⋊C8C2411yescharacteristic
668C2×C59⋊C8C2411yescharacteristic
669#11745660—41no—
670#11745659—41no—
671#11745659—41no—
672C23×C59—21no—
673C23×C59—21no—
674C23×C59—21no—
675C23×C59—42no—
676C23×C59—81no—
677C23×C59—81no—
678C23×C59C22×D411yescharacteristic
679C23×C59C22×D411yescharacteristic
680C22×D59—21no—
681C22×D59—42no—
682C22×D59—42no—
683C22×D59—81no—
684C22×D59C22×D411yescharacteristic
685Q8×C59—21no—
686Q8×C59—21no—
687D4×C59—21no—
688D4×C59—21no—
689D4×C59—21no—
690D4×C59—21no—
691D4×C59—21no—
692D4×C59—41no—
693D4×C59—42no—
694D4×C59—42no—
695D4×C59—81no—
696D4×C59—81no—
697D4×C59—81no—
698D4×C592−1+412yes—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—42no—
709C2×C4×C59—81no—
710C2×C4×C59—81no—
711C2×C4×C59—81no—
712C2×C4×C59C22×D411yescharacteristic
713C2×C4×C59C22×D411yescharacteristic
714C2×C4×C59C22×D411yescharacteristic
715C2×C4×C59C22×D411yescharacteristic
716C2×C4×C59C2511yescharacteristic
717C22⋊D59—41no—
718C22⋊D59—41no—
719C22⋊D59—42no—
720C22⋊D59—42no—
721C22⋊D59—81no—
722C22⋊D59—81no—
723C22⋊D59—81no—
724C22⋊D59—81no—
725C22⋊D59—81no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—81no—
734C2×Dic59—81no—
735C2×Dic59—81no—
736C2×Dic59—81no—
737C2×Dic59—81no—
738C2×Dic59—81no—
739C2×Dic59—81no—
740C2×Dic59—81no—
741C2×Dic59—81no—
742C2×Dic59C22×D411yescharacteristic
743C2×Dic59C22×D411yescharacteristic
744C2×Dic59C22×D411yescharacteristic
745C2×Dic59C22×D411yescharacteristic
746C2×Dic59C22×D411yescharacteristic
747C2×Dic59C22×D411yescharacteristic
748C2×Dic59C22×D411yescharacteristic
749D236—21no—
750D236—21no—
751C4×D59—21no—
752C4×D59—21no—
753C4×D59—41no—
754C4×D59—41no—
755C4×D59—42no—
756C4×D59—81no—
757C4×D59—81no—
758Dic118—21no—
759Dic118—21no—
760Dic118—41no—
761Dic118—81no—
762Dic118—81no—
763Dic118—81no—
764Dic118—81no—
765Dic118—81no—
766C8×C59—21no—
767C8×C59—21no—
768C8×C59—21no—
769C8×C59—21no—
770C59⋊C8—21no—
771C59⋊C8—21no—
772C59⋊C8—21no—
773C59⋊C8—21no—
774#62175—591nomaximal, Sylow
775C22×C59—21no—
776C22×C59—21no—
777C22×C59—21no—
778C22×C59—21no—
779C22×C59—22no—
780C22×C59—21no—
781C22×C59—21no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59—41no—
788C22×C59—41no—
789C22×C59—41no—
790C22×C59—162no—
791C22×C59C23×D411yescharacteristic
792C2×D59—21no—
793C2×D59—21no—
794C2×D59—21no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—41no—
798C2×D59—84no—
799C4×C59—21no—
800C4×C59—21no—
801C4×C59—21no—
802C4×C59—21no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59C2×2−1+411yescharacteristic
809C4×C59#58511yescharacteristic
810Dic59—21no—
811Dic59—21no—
812Dic59—21no—
813Dic59—21no—
814Dic59—21no—
815Dic59—21no—
816Dic59—21no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823Dic59—41no—
824#3565—591no—
825#3513—591no—
826#3389—591no—
827#3381—591no—
828#3371—591no—
829#3361—591no—
830#3354—591no—
831#3351—591no—
832#3351—591no—
833#3349—591no—
834#3343—591no—
835#3339—591no—
836#3324—591no—
837#3323—591no—
838#3322D5911yescharacteristic, complemented
839#3319—591no—
840#3318—591no—
841#3296—591no—
842#3262—591no—
843#3257—591no—
844#3256—591no—
845#3244—591no—
846#3241—591no—
847#3233—591no—
848#3125—591no—
849#3118—591no—
850#3105—591no—
851#3083—591no—
852#3081—591no—
853#3077—591no—
854#2993—591no—
855C2×C59—42no—
856C2×C59—41no—
857C2×C59—41no—
858C2×C59—81no—
859C2×C59—81no—
860C2×C59#348911yescharacteristic
861C2×C59#358411yescharacteristic
862C2×C59#358511yescharacteristic
863D59—41no—
864D59—81no—
865#563—1181no—
866#562—1181no—
867#559—591no—
868#557—591no—
869#556—591no—
870#556—1181no—
871#555—591no—
872#554—591no—
873#554—591no—
874#553—591no—
875#553—591no—
876#553—1181no—
877#553C2×D5911yescharacteristic, complemented
878#552—591no—
879#552—591no—
880#552—591no—
881#552—1181no—
882#551—1181no—
883#551—1181no—
884#547—591no—
885#546—591no—
886#546—1181no—
887#546C2×D5911yescharacteristic
888D42—591no—
889#544—591no—
890#544—591no—
891#542—591no—
892#542—591no—
893#542—591no—
894#542—1181no—
895#542—1181no—
896#541—1181no—
897#540—591no—
898#539—1181no—
899#539—1181no—
900#538—1181no—
901#533—591no—
902#529—591no—
903#529—591no—
904#529—591no—
905#525—1181no—
906C2×#123—1181no—
907#520—591no—
908#518—591no—
909C2×C4×D4—591no—
910#501—591no—
911#501—591no—
912#499—591no—
913#499—591no—
914#499—591no—
915#498—591no—
916#490—591no—
917#489—591no—
918#488—591no—
919#488—591no—
920#488C2×D5911yescharacteristic, complemented
921#486—591no—
922#485—591no—
923#485—591no—
924#485—591no—
925#485C2×D5911yescharacteristic, complemented
926#484—591no—
927#483—591no—
928#483—591no—
929#482—591no—
930#482—591no—
931#482—591no—
932#482—591no—
933#482—591no—
934#482—591no—
935#481—591no—
936#481—591no—
937#481—591no—
938#481—591no—
939#480C2×D5911yescharacteristic, complemented
940#479—591no—
941#479—591no—
942#479—591no—
943#479—591no—
944#478—591no—
945#478—591no—
946#478—591no—
947#478—591no—
948#478—591no—
949#478—591no—
950#478—591no—
951#478—591no—
952#478—591no—
953#478—591no—
954#478—591no—
955#478C2×D5911yescharacteristic
956#477—591no—
957#477—591no—
958#477—591no—
959#476—591no—
960#476—591no—
961#476—591no—
962#476—591no—
963#475—591no—
964#474—591no—
965#474—591no—
966#474—591no—
967#474—591no—
968#474—591no—
969#474—591no—
970#470—591no—
971#469—591no—
972#469C2×D5911yescharacteristic, complemented
973#468—591no—
974#468—591no—
975#468—591no—
976#468—591no—
977#468C2×D5911yescharacteristic, complemented
978#467—591no—
979#466—591no—
980#466—591no—
981#465—591no—
982#464—591no—
983#464—591no—
984#464—591no—
985#463—591no—
986#463—591no—
987#463—591no—
988#463—591no—
989#463C2×D5911yescharacteristic, complemented
990#460—591no—
991#459—591no—
992#452—591no—
993#450—591no—
994#450—591no—
995#449C2×D5911yescharacteristic
996#447—591no—
997#447C2×D5911yescharacteristic
998#446—591no—
999C8×Q8—591no—
1000#442—591no—
1001#442—591no—
1002#441—591no—
1003#440—591no—
1004C4×SD16—591no—
1005C4×SD16—591no—
1006C4×SD16—591no—
1007C4×SD16—591no—
1008C4×SD16—591no—
1009C4×D8—591no—
1010C4×D8—591no—
1011C4×D8C2×D5911yescharacteristic
1012#436—591no—
1013#436—591no—
1014#436C2×D5911yescharacteristic, complemented
1015#435—591no—
1016#435—591no—
1017C8×D4—591no—
1018#433—591no—
1019#433—591no—
1020#431—591no—
1021#428—591no—
1022#428—591no—
1023#428—591no—
1024#428—591no—
1025#427—591no—
1026C2×#107—591no—
1027#424—591no—
1028#424—591no—
1029#423—591no—
1030#418—591no—
1031#418—591no—
1032#418C2×D5911yescharacteristic
1033#417C2×D5911yescharacteristic
1034#416—591no—
1035C2×#102—591no—
1036C59#6217511yescharacteristic, complemented, Sylow
1037C2×#41—1181no—
1038C2×#41C22×D5911yescharacteristic
1039C22×D4—591no—
1040C22×D4—1181no—
1041C22×D4C22×D5911yescharacteristic
1042C23×C4—1181no—
1043C2×Q16—591no—
1044C2×SD16—591no—
1045C2×SD16—591no—
1046C2×SD16—591no—
1047C2×SD16C22×D5911yescharacteristic
1048C2×D8—591no—
1049C2×D8C22×D5911yescharacteristic
1050C2×D8C22×D5911yescharacteristic
1051C2×M16—591no—
1052C2×M16—591no—
1053C2×M16C22×D5911yescharacteristic
1054C2×M16C22×D5911yescharacteristic
1055C22×C8—591no—
1056C22×C8—591no—
1057C4⋊Q8—591no—
1058C4⋊Q8—591no—
1059C4⋊Q8—591no—
1060C4⋊Q8—591no—
1061C4⋊Q8—591no—
1062C4⋊Q8—1181no—
1063C4⋊Q8—1181no—
1064C4⋊Q8—1181no—
1065#127—591no—
1066#126—21no—
1067#126—591no—
1068#126—591no—
1069#126—1181no—
1070#126—1181no—
1071#126—1181no—
1072#126—1181no—
1073#126—1181no—
1074#126—1181no—
1075#126—1181no—
1076#126—1181no—
1077#126—1181no—
1078#126—1181no—
1079#126—1181no—
1080#126—1181no—
1081#125—591no—
1082#125—591no—
1083#125—591no—
1084#125—591no—
1085#125—591no—
1086#125—591no—
1087#125—591no—
1088#125—1181no—
1089#125—1181no—
1090#125—1181no—
1091#125—1181no—
1092#125—1181no—
1093#125—1181no—
1094#125—1181no—
1095#125C22×D5911yescharacteristic
1096#124—591no—
1097#124—591no—
1098#124—591no—
1099#124—1181no—
1100#124—1181no—
1101#124—1181no—
1102#124—1181no—
1103#124—1181no—
1104#124—1181no—
1105#124—1181no—
1106#124C22×D5911yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—591no—
1110#123—591no—
1111#123—1181no—
1112#123—1181no—
1113#123—1181no—
1114#123—1181no—
1115#123—1181no—
1116#123—1181no—
1117#123—1181no—
1118#123—1181no—
1119#123—1181no—
1120#123—1181no—
1121#123—1181no—
1122#123—1181no—
1123#123—1181no—
1124#123—1181no—
1125#123—1181no—
1126#123—1181no—
1127#123—1181no—
1128C22⋊Q8—591no—
1129C22⋊Q8—591no—
1130C22⋊Q8—591no—
1131C22⋊Q8—591no—
1132C22⋊Q8—591no—
1133C22⋊Q8—1181no—
1134C22⋊Q8—1181no—
1135C22⋊Q8—1181no—
1136C22⋊Q8—1181no—
1137C22⋊Q8—1181no—
1138C22⋊Q8—1181no—
1139C22⋊Q8—1181no—
1140C22⋊Q8—1181no—
1141C22⋊Q8—1181no—
1142C22⋊Q8—1181no—
1143C22⋊Q8—1181no—
1144C22⋊Q8—1181no—
1145C22⋊Q8—1181no—
1146C22⋊Q8—1181no—
1147C22⋊Q8—1181no—
1148C22⋊Q8—1181no—
1149C22⋊Q8C22×D5911yescharacteristic
1150#121—21no—
1151#121—21no—
1152#121—591no—
1153#121—591no—
1154#121—591no—
1155#121—591no—
1156#121—591no—
1157#121—1181no—
1158#121—1181no—
1159#121—1181no—
1160#121—1181no—
1161#121—1181no—
1162#121—1181no—
1163#121—1181no—
1164#121C22×D5911yescharacteristic
1165#121C22×D5911yescharacteristic
1166#121C22×D5911yescharacteristic
1167#120—21no—
1168#120—1181no—
1169#120—1181no—
1170#120—1181no—
1171C4×Q8—591no—
1172C4×Q8—591no—
1173C4×Q8—591no—
1174C4×Q8—591no—
1175C4×Q8—591no—
1176C4×Q8—591no—
1177C4×Q8—1181no—
1178C4×Q8—1181no—
1179C4×Q8—1181no—
1180C4×Q8—1181no—
1181C4×D4—21no—
1182C4×D4—591no—
1183C4×D4—591no—
1184C4×D4—591no—
1185C4×D4—591no—
1186C4×D4—591no—
1187C4×D4—591no—
1188C4×D4—591no—
1189C4×D4—591no—
1190C4×D4—591no—
1191C4×D4—591no—
1192C4×D4—591no—
1193C4×D4—1181no—
1194C4×D4—1181no—
1195C4×D4—1181no—
1196C4×D4—1181no—
1197C4×D4—1181no—
1198C4×D4—1181no—
1199C4×D4—1181no—
1200C4×D4—1181no—
1201C4×D4—1181no—
1202C4×D4—1181no—
1203C4×D4—1181no—
1204C4×D4C22×D5911yescharacteristic
1205C4×D4C22×D5911yescharacteristic
1206C4×D4C22×D5911yescharacteristic
1207#117—591no—
1208#117—591no—
1209#117—591no—
1210#117—591no—
1211#117—591no—
1212#117—591no—
1213#117—1181no—
1214#117—1181no—
1215#117—1181no—
1216#117—1181no—
1217#117—1181no—
1218#117—1181no—
1219#117—1181no—
1220#117C22×D5911yescharacteristic
1221C2×C4⋊C4—591no—
1222C2×C4⋊C4—591no—
1223C2×C4⋊C4—591no—
1224C2×C4⋊C4—1181no—
1225C2×C4⋊C4—1181no—
1226C2×C4⋊C4—1181no—
1227C2×C4⋊C4C22×D5911yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—1181no—
1230C2×C22⋊C4—1181no—
1231C2×C22⋊C4—1181no—
1232C2×C22⋊C4—1181no—
1233C2×C42—591no—
1234#107—591no—
1235#107—591no—
1236#107—591no—
1237#107—591no—
1238#107—591no—
1239#107—591no—
1240#107—591no—
1241#107—591no—
1242#107—591no—
1243#107—591no—
1244#107C22×D5911yescharacteristic
1245#107C22×D5911yescharacteristic
1246#106—591no—
1247#106—591no—
1248#106—591no—
1249#106—591no—
1250#106—591no—
1251#106—591no—
1252#106—591no—
1253#106—591no—
1254#106—591no—
1255#106—591no—
1256#106—591no—
1257#106C22×D5911yescharacteristic
1258C4⋊C8—591no—
1259C4⋊C8—591no—
1260C4⋊C8—591no—
1261C4⋊C8—591no—
1262C4⋊C8—591no—
1263C4⋊C8—591no—
1264C4⋊C8—591no—
1265C4⋊C8—591no—
1266C4⋊C8—591no—
1267C4⋊C8C22×D5911yescharacteristic
1268#103—591no—
1269#103—591no—
1270#103—591no—
1271#103—591no—
1272#103—591no—
1273#103—591no—
1274#103—591no—
1275#103C22×D5911yescharacteristic
1276#103C22×D5911yescharacteristic
1277#103C22×D5911yescharacteristic
1278#102—591no—
1279#102—591no—
1280#102—591no—
1281#102—591no—
1282#102—591no—
1283#102—591no—
1284#102—591no—
1285#102—591no—
1286#102—591no—
1287#102—591no—
1288#102—591no—
1289#102—591no—
1290#102—591no—
1291#102—591no—
1292#102—591no—
1293#102C22×D5911yescharacteristic
1294#102C22×D5911yescharacteristic
1295#102C22×D5911yescharacteristic
1296#102C22×D5911yescharacteristic
1297#102C22×D5911yescharacteristic
1298#102C22×D5911yescharacteristic
1299#102C22×D5911yescharacteristic
1300C22⋊C8—591no—
1301C22⋊C8—591no—
1302C22⋊C8—591no—
1303C22⋊C8—591no—
1304C22⋊C8C22×D5911yescharacteristic
1305C22⋊C8C22×D5911yescharacteristic
1306#97—591no—
1307#97—591no—
1308C4×C8—591no—
1309C4×C8—591no—
1310C4×C8—591no—
1311C4×C8C22×D5911yescharacteristic
1312C24—21no—
1313C24—1181no—
1314#41—22no—
1315#41—41no—
1316#41—4722no—
1317C2×Q8—591no—
1318C2×Q8—591no—
1319C2×Q8—1181no—
1320C2×Q8—1181no—
1321C2×Q8—1181no—
1322C2×Q8—1181no—
1323C2×Q8—1181no—
1324C2×Q8C23×D5911yescharacteristic
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—41no—
1332C2×D4—591no—
1333C2×D4—591no—
1334C2×D4—591no—
1335C2×D4—1181no—
1336C2×D4—1181no—
1337C2×D4—1181no—
1338C2×D4—1182no—
1339C2×D4—1181no—
1340C2×D4—1181no—
1341C2×D4—1181no—
1342C2×D4—1181no—
1343C2×D4—4722no—
1344C2×D4—2361no—
1345C2×D4D4×D5911yescharacteristic
1346C2×D4C23×D5911yescharacteristic
1347C2×D4C23×D5911yescharacteristic
1348C2×D4C23×D5911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—591no—
1354C22×C4—591no—
1355C22×C4—591no—
1356C22×C4—1181no—
1357C22×C4—1181no—
1358C22×C4—1181no—
1359C22×C4—1181no—
1360C22×C4—1181no—
1361C22×C4—1181no—
1362C22×C4—1181no—
1363C22×C4—1181no—
1364C22×C4—1181no—
1365C22×C4—1181no—
1366C22×C4—1181no—
1367C22×C4—1181no—
1368C22×C4—4722no—
1369C22×C4C23×D5911yescharacteristic
1370C22×C4C23×D5911yescharacteristic
1371Q16—2361no—
1372SD16—41no—
1373SD16—1182no—
1374SD16—2361no—
1375SD16—2361no—
1376D8—22no—
1377D8—41no—
1378D8—2361no—
1379M16—41no—
1380M16—41no—
1381M16—2361no—
1382M16—2361no—
1383C2×C8—591no—
1384C2×C8—591no—
1385C2×C8—591no—
1386C2×C8—591no—
1387C2×C8—2361no—
1388C2×C8—2361no—
1389C2×C8C23×D5911yescharacteristic
1390C2×C8C23×D5911yescharacteristic
1391C2×C8C23×D5911yescharacteristic
1392C2×C8C23×D5911yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—591no—
1398C4⋊C4—591no—
1399C4⋊C4—591no—
1400C4⋊C4—591no—
1401C4⋊C4—591no—
1402C4⋊C4—591no—
1403C4⋊C4—591no—
1404C4⋊C4—591no—
1405C4⋊C4—591no—
1406C4⋊C4—591no—
1407C4⋊C4—591no—
1408C4⋊C4—591no—
1409C4⋊C4—591no—
1410C4⋊C4—591no—
1411C4⋊C4—591no—
1412C4⋊C4—1181no—
1413C4⋊C4—1181no—
1414C4⋊C4—1181no—
1415C4⋊C4—1181no—
1416C4⋊C4—1181no—
1417C4⋊C4—1181no—
1418C4⋊C4—1181no—
1419C4⋊C4—1181no—
1420C4⋊C4—1181no—
1421C4⋊C4—1181no—
1422C4⋊C4—1181no—
1423C4⋊C4—1181no—
1424C4⋊C4—1181no—
1425C4⋊C4—1181no—
1426C4⋊C4—1181no—
1427C4⋊C4—1181no—
1428C4⋊C4—1181no—
1429C4⋊C4—1181no—
1430C4⋊C4—1181no—
1431C4⋊C4—1181no—
1432C4⋊C4—1181no—
1433C4⋊C4—1181no—
1434C4⋊C4—1181no—
1435C4⋊C4—1181no—
1436C4⋊C4—1181no—
1437C4⋊C4—1181no—
1438C4⋊C4—1181no—
1439C4⋊C4—1181no—
1440C4⋊C4—1181no—
1441C4⋊C4D4×D5911yescharacteristic
1442C4⋊C4C23×D5911yescharacteristic
1443C4⋊C4C23×D5911yescharacteristic
1444C4⋊C4C23×D5911yescharacteristic
1445C4⋊C4C23×D5911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—591no—
1456C22⋊C4—591no—
1457C22⋊C4—591no—
1458C22⋊C4—591no—
1459C22⋊C4—591no—
1460C22⋊C4—591no—
1461C22⋊C4—591no—
1462C22⋊C4—591no—
1463C22⋊C4—1181no—
1464C22⋊C4—1181no—
1465C22⋊C4—1181no—
1466C22⋊C4—1181no—
1467C22⋊C4—1181no—
1468C22⋊C4—1181no—
1469C22⋊C4—1181no—
1470C22⋊C4—1181no—
1471C22⋊C4—1181no—
1472C22⋊C4—1181no—
1473C22⋊C4—1181no—
1474C22⋊C4—1181no—
1475C22⋊C4—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⋊C4D4×D5911yescharacteristic
1489C22⋊C4D4×D5911yescharacteristic
1490C42—21no—
1491C42—591no—
1492C42—591no—
1493C42—591no—
1494C42—591no—
1495C42—591no—
1496C42—1181no—
1497C42—1181no—
1498C42—1181no—
1499C42—1181no—
1500C42—1181no—
1501C42—1181no—
1502C42—1181no—
1503C42—1181no—
1504C42—1181no—
1505C42C23×D5911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—42no—
1510C23—81no—
1511C23—81no—
1512C23—591no—
1513C23—1181no—
1514C23—4721no—
1515C23—2362no—
1516C23—2362no—
1517C23C2×D4×D5911yescharacteristic
1518C23C2×D4×D5911yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—1181no—
1522Q8—1181no—
1523Q8—4721no—
1524Q8—4721no—
1525Q8—4721no—
1526Q8—4721no—
1527Q8—4721no—
1528Q8—2361no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—41no—
1535D4—42no—
1536D4—42no—
1537D4—81no—
1538D4—81no—
1539D4—81no—
1540D4—1181no—
1541D4—1181no—
1542D4—4721no—
1543D4—4721no—
1544D4—4721no—
1545D4—4721no—
1546D4—4721no—
1547D4—2361no—
1548D4—2361no—
1549D4—2362no—
1550D4—2362no—
1551D4#1427377412yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—42no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—591no—
1566C2×C4—591no—
1567C2×C4—591no—
1568C2×C4—591no—
1569C2×C4—591no—
1570C2×C4—591no—
1571C2×C4—591no—
1572C2×C4—1181no—
1573C2×C4—1181no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—1181no—
1578C2×C4—1181no—
1579C2×C4—1181no—
1580C2×C4—1181no—
1581C2×C4—4721no—
1582C2×C4—4721no—
1583C2×C4—4721no—
1584C2×C4—4721no—
1585C2×C4—4721no—
1586C2×C4—4721no—
1587C2×C4—4721no—
1588C2×C4—4721no—
1589C2×C4—4721no—
1590C2×C4—4721no—
1591C2×C4—4721no—
1592C2×C4—2361no—
1593C2×C4—2361no—
1594C2×C4—2362no—
1595C2×C4C2×D4×D5911yescharacteristic
1596C2×C4C2×D4×D5911yescharacteristic
1597C2×C4C2×D4×D5911yescharacteristic
1598C2×C4C2×D4×D5911yescharacteristic
1599C2×C4C24×D5911yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1181no—
1605C8—1181no—
1606C8—1181no—
1607C8—1181no—
1608C22—21no—
1609C22—21no—
1610C22—22no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—162no—
1624C22—1181no—
1625C22—1181no—
1626C22—1181no—
1627C22—4724no—
1628C22—2361no—
1629C22—2361no—
1630C22—2361no—
1631C22C22×D4×D5911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—1181no—
1642C4—1181no—
1643C4—1181no—
1644C4—1181no—
1645C4—1181no—
1646C4—1181no—
1647C4—1181no—
1648C4—2361no—
1649C4—2361no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C4C2×#1427377411yescharacteristic
1656C4#1683823711yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—81no—
1662C2—4721no—
1663C2—2361no—
1664C2#2143776711yescharacteristic
1665C2#2143886911yescharacteristic
1666C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3322C2
socleC22×C59C23×D4
hypercenter#3322D59
hypocenterC59#62175
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #21438731C2semidirect
2. #21438025C2semidirect
3. #21437052C2semidirect
4. #21436966C2semidirect
5. #21436870C2semidirect
6. #21436751C2semidirect
7. #21436686C2semidirect
8. #21436658C2semidirect
9. #21436651C2semidirect
10. #21436624C2semidirect
11. #21436540C2semidirect
12. #21436492C2semidirect
13. #21436323C2semidirect
14. #21436313C2semidirect
15. #21436256C2semidirect
16. #21436241C2semidirect
17. #21435931C2semidirect
18. #21435553C2semidirect
19. #21435508C2semidirect
20. #21435494C2semidirect
21. #21435400C2semidirect
22. #21435345C2semidirect
23. #21435270C2semidirect
24. #21434374C2semidirect
25. #21434273C2semidirect
26. #21434141C2semidirect
27. #21433951C2semidirect
28. #21433929C2semidirect
29. #21433891C2semidirect
30. #21433240C2semidirect
31. C59×#3322C2semidirect
35. #16838129C22semidirect
38. #16838116C22semidirect
40. #16838111C22semidirect
44. #16838092C22semidirect
46. #16838087C22semidirect
54. #16838033C22semidirect
55. #16838030C22semidirect
59. #16838019C22semidirect
60. #16838019C22semidirect
66. #16837958C22semidirect
68. #16837934C22semidirect
75. #16837810C22semidirect
76. #16837810C22semidirect
77. #16837804C22semidirect
78. #16837803C22semidirect
79. #16837801C22semidirect
80. #16837799C22semidirect
82. #16837763C22semidirect
83. #16837758C22semidirect
84. #16837756C22semidirect
86. #16837744C22semidirect
87. #16837742C22semidirect
88. #16837741C22semidirect
89. #16837739C22semidirect
90. #16837733C22semidirect
91. #16837730C22semidirect
92. #16837727C22semidirect
96. #16837723C22semidirect
97. #16837723C22semidirect
99. #16837720C22semidirect
100. #16837719C22semidirect
101. #16837718C22semidirect
102. #16837712C22semidirect
103. #16837710C22semidirect
104. #16837707C22semidirect
105. #16837707C22semidirect
106. #16837705C22semidirect
109. #16837704C22semidirect
110. #16837703C22semidirect
112. #16837702C22semidirect
114. #16837700C22semidirect
115. #16837700C22semidirect
116. #16837699C22semidirect
117. #16837696C22semidirect
118. #16837695C22semidirect
119. #16837695C22semidirect
120. #16837691C22semidirect
122. #16837690C22semidirect
123. #16837690C22semidirect
124. #16837685C22semidirect
125. #16837681C22semidirect
129. #16837680C22semidirect
130. #16837680C22semidirect
131. #16837659C22semidirect
134. #16837648C22semidirect
136. #16837645C22semidirect
137. #16837641C22semidirect
139. #16837636C22semidirect
140. #16837629C22semidirect
141. #16837627C22semidirect
142. #16837622C22semidirect
143. #16837621C22semidirect
144. #16837619C22semidirect
145. #16837616C22semidirect
147. #16837615C22semidirect
154. #16837532C22semidirect
155. #16837526C22semidirect
158. #16837506C22semidirect
159. #16837499C22semidirect
162. C4×#11745660C22semidirect
163. SD16×Dic59C22semidirect
165. D8×Dic59C22semidirect
166. C4×#11745669C22semidirect
168. #16837478C22semidirect
170. #16837470C22semidirect
171. D4×C59⋊C8C22semidirect
172. #16837460C22semidirect
173. #16837460C22semidirect
174. #16837453C22semidirect
175. #16837444C22semidirect
176. #16837444C22semidirect
177. #16837443C22semidirect
178. #16837441C22semidirect
179. #16837438C22semidirect
180. C2×#14273660C22semidirect
181. #16837430C22semidirect
182. #16837430C22semidirect
183. #16837424C22semidirect
188. C59×#553C22semidirect
190. C59×#488C22semidirect
191. C59×#485C22semidirect
192. C59×#480C22semidirect
194. C59×#469C22semidirect
195. C59×#468C22semidirect
196. C59×#463C22semidirect
200. C59×#436C22semidirect
838. #3322D59semidirect
877. #553C2×D59semidirect
920. #488C2×D59semidirect
925. #485C2×D59semidirect
939. #480C2×D59semidirect
972. #469C2×D59semidirect
977. #468C2×D59semidirect
989. #463C2×D59semidirect
1014. #436C2×D59semidirect
1036. C59#62175semidirect

Maximal subgroups

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

subgroupindex
#214387312
#214380252
#214370522
#214369662
#214368702
#214367512
#214366862
#214366582
#214366512
#214366242
#214365402
#214364922
#214363232
#214363132
#214362562
#214362412
#214359312
#214355532
#214355082
#214354942
#214354002
#214353452
#214352702
#214343742
#214342732
#214341412
#214339512
#214339292
#214338912
#214332402
C59×#33222
#6217559