Finite Group Databasebeta

← #29485895

Subgroups — #29485895

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#21438043C211yesmaximal, characteristic, complemented
3#21437054C211yesmaximal, characteristic, complemented
4#21436968C211yesmaximal, characteristic, complemented
5#21436862C211yesmaximal, characteristic, complemented
6#21436757C211yesmaximal, characteristic, complemented
7#21436684C211yesmaximal, characteristic, complemented
8#21436650C211yesmaximal, characteristic, complemented
9#21436649C211yesmaximal, characteristic, complemented
10#21436622C211yesmaximal, characteristic, complemented
11#21436532C211yesmaximal, characteristic, complemented
12#21436325C211yesmaximal, characteristic, complemented
13#21436315C211yesmaximal, characteristic, complemented
14#21436291C211yesmaximal, characteristic, complemented
15#21436258C211yesmaximal, characteristic, complemented
16#21436243C211yesmaximal, characteristic, complemented
17#21435933C211yesmaximal, characteristic, complemented
18#21435551C211yesmaximal, characteristic, complemented
19#21435500C211yesmaximal, characteristic, complemented
20#21435496C211yesmaximal, characteristic, complemented
21#21435392C211yesmaximal, characteristic, complemented
22#21435353C211yesmaximal, characteristic, complemented
23#21435276C211yesmaximal, characteristic, complemented
24#21434376C211yesmaximal, characteristic, complemented
25#21434275C211yesmaximal, characteristic, complemented
26#21434141C211yesmaximal, characteristic, complemented
27#21433952C211yesmaximal, characteristic, complemented
28#21433930C211yesmaximal, characteristic, complemented
29#21433891C211yesmaximal, characteristic, complemented
30#21433246C211yesmaximal, characteristic, complemented
31C59×#3339C211yesmaximal, characteristic, complemented
32#16838154—21no—
33#16838147—21no—
34#16838135C2211yescharacteristic
35#16838129C2211yescharacteristic, complemented
36#16838122—21no—
37#16838120C2211yescharacteristic
38#16838116C2211yescharacteristic, complemented
39#16838111C2211yescharacteristic, complemented
40#16838108C2211yescharacteristic
41#16838104C2211yescharacteristic
42#16838102—21no—
43#16838092C2211yescharacteristic, complemented
44#16838091C2211yescharacteristic
45#16838089—21no—
46#16838087C2211yescharacteristic, complemented
47#16838080—21no—
48#16838077—21no—
49#16838053C2211yescharacteristic
50#16838049—21no—
51#16838049C2211yescharacteristic
52#16838048C2211yescharacteristic
53#16838036C2211yescharacteristic
54#16838033C2211yescharacteristic, complemented
55#16838030C2211yescharacteristic, complemented
56#16838020—21no—
57#16838019—21no—
58#16838019C2211yescharacteristic
59#16838019C2211yescharacteristic, complemented
60#16838019C2211yescharacteristic, complemented
61#16838009—21no—
62#16838005C2211yescharacteristic
63#16837994—21no—
64#16837993—21no—
65#16837984—21no—
66#16837958C2211yescharacteristic, complemented
67#16837937C2211yescharacteristic
68#16837934C2211yescharacteristic
69#16837934C2211yescharacteristic, complemented
70#16837911—21no—
71#123×D59—21no—
72#16837883C2211yescharacteristic
73#16837876C2211yescharacteristic
74C4×D4×D59C2211yescharacteristic
75#16837810C2211yescharacteristic, complemented
76#16837809C2211yescharacteristic, complemented
77#16837802C2211yescharacteristic, complemented
78#16837801C2211yescharacteristic, complemented
79#16837799C2211yescharacteristic, complemented
80#16837765C2211yescharacteristic
81#16837760C2211yescharacteristic, complemented
82#16837759C2211yescharacteristic, complemented
83#16837757C2211yescharacteristic, complemented
84#16837755C2211yescharacteristic, complemented
85#16837747C2211yescharacteristic
86#16837746C2211yescharacteristic, complemented
87#16837745C2211yescharacteristic, complemented
88#16837743C2211yescharacteristic, complemented
89#16837743C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837733C2211yescharacteristic, complemented
92#16837732C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic
94#16837728C2211yescharacteristic
95#16837727C2211yescharacteristic, complemented
96#16837723C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837718C2211yescharacteristic
99#16837715C2211yescharacteristic, complemented
100#16837708C2211yescharacteristic, complemented
101#16837708C2211yescharacteristic, complemented
102#16837708C2211yescharacteristic, complemented
103#16837706C2211yescharacteristic, complemented
104#16837705C2211yescharacteristic
105#16837705C2211yescharacteristic
106#16837705C2211yescharacteristic, complemented
107#16837704C2211yescharacteristic, complemented
108#16837704C2211yescharacteristic, complemented
109#16837703C2211yescharacteristic
110#16837702C2211yescharacteristic, complemented
111#16837701C2211yescharacteristic
112#16837701C2211yescharacteristic, complemented
113#16837699C2211yescharacteristic
114#16837696C2211yescharacteristic, complemented
115#16837696C2211yescharacteristic, complemented
116#16837696C2211yescharacteristic, complemented
117#16837691C2211yescharacteristic
118#16837691C2211yescharacteristic, complemented
119#16837691C2211yescharacteristic, complemented
120#16837690C2211yescharacteristic, complemented
121#16837686C2211yescharacteristic, complemented
122#16837681C2211yescharacteristic
123#16837681C2211yescharacteristic
124#16837681C2211yescharacteristic
125#16837681C2211yescharacteristic, complemented
126#16837680C2211yescharacteristic, complemented
127#16837680C2211yescharacteristic, complemented
128#16837661C2211yescharacteristic, complemented
129#16837654C2211yescharacteristic
130#16837653C2211yescharacteristic, complemented
131#16837649C2211yescharacteristic
132#16837647C2211yescharacteristic, complemented
133#16837646C2211yescharacteristic
134#16837646C2211yescharacteristic, complemented
135#16837646C2211yescharacteristic, complemented
136#16837643C2211yescharacteristic, complemented
137#16837631C2211yescharacteristic, complemented
138#16837625C2211yescharacteristic, complemented
139#16837623C2211yescharacteristic, complemented
140#16837623C2211yescharacteristic, complemented
141#16837617C2211yescharacteristic, complemented
142#16837616C2211yescharacteristic
143#16837616C2211yescharacteristic, complemented
144#16837615C2211yescharacteristic, complemented
145#16837615C2211yescharacteristic, complemented
146#16837601C2211yescharacteristic
147#16837595C2211yescharacteristic
148#16837566C2211yescharacteristic
149#16837555C2211yescharacteristic
150#16837554C2211yescharacteristic
151#16837545C2211yescharacteristic
152#16837535C2211yescharacteristic
153#16837534C2211yescharacteristic
154#16837529C2211yescharacteristic, complemented
155C8×Dic118C2211yescharacteristic, complemented
156#16837511C2211yescharacteristic
157#16837511C2211yescharacteristic
158#16837508C2211yescharacteristic, complemented
159#16837501C2211yescharacteristic, complemented
160#16837493C2211yescharacteristic, complemented
161C4×#11745660C2211yescharacteristic
162#16837489C2211yescharacteristic
163#16837489C2211yescharacteristic
164C4×#11745670C2211yescharacteristic, complemented
165C4×#11745669C2211yescharacteristic
166#16837482C2211yescharacteristic, complemented
167#16837480C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic
169#16837477C2211yescharacteristic, complemented
170#16837473C2211yescharacteristic
171#16837473C2211yescharacteristic, complemented
172#16837460C2211yescharacteristic, complemented
173#16837460C2211yescharacteristic, complemented
174#16837453C2211yescharacteristic, complemented
175#16837445C2211yescharacteristic, complemented
176#16837443C2211yescharacteristic, complemented
177#16837442C2211yescharacteristic, complemented
178#16837441C2211yescharacteristic, complemented
179#16837428C2211yescharacteristic, complemented
180#16837428C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837406C2211yescharacteristic
183#16837405C2211yescharacteristic
184#16837405C2211yescharacteristic
185#16837401C2211yescharacteristic
186#16837399C2211yescharacteristic
187C2×#14273649C2211yescharacteristic
188C59×#553C2211yescharacteristic
189C59×#553C2211yescharacteristic, complemented
190C59×#499C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic
192C59×#482C2211yescharacteristic, complemented
193C59×#481C2211yescharacteristic, complemented
194C59×#481C2211yescharacteristic, complemented
195C59×#478C2211yescharacteristic, complemented
196C59×#478C2211yescharacteristic, complemented
197C59×#466C2211yescharacteristic
198C59×#466C2211yescharacteristic, complemented
199C4×D8×C59C2211yescharacteristic, complemented
200C8×D4×C59C2211yescharacteristic, complemented
201C59×#427C2211yescharacteristic, complemented
202C2×#107×C59C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C22×D236C2311yescharacteristic
206C2×D4×D59—21no—
207C2×D4×D59C2311yescharacteristic
208C22×C4×D59—21no—
209C2×Dic236C2311yescharacteristic
210C2×#11745660C2311yescharacteristic
211C2×#11745660C2311yescharacteristic
212C2×#11745670C2311yescharacteristic
213C2×#11745670C2311yescharacteristic
214C2×#11745669C2311yescharacteristic
215C2×#11745669C2311yescharacteristic
216C2×#11745664C2311yescharacteristic
217C2×#11745664C2311yescharacteristic
218C2×#11745659C2311yescharacteristic
219C2×#11745659C2311yescharacteristic
220#14273727—21no—
221#14273726—21no—
222#14273726—21no—
223#14273726C2311yescharacteristic
224#14273726C2311yescharacteristic
225#14273726C2311yescharacteristic
226#14273726C2311yescharacteristic
227#14273726C2311yescharacteristic
228#14273723C2311yescharacteristic
229#14273722—21no—
230#14273722—21no—
231#14273721—21no—
232#14273720—21no—
233#14273720—21no—
234#14273720—21no—
235#14273720—21no—
236#14273720—21no—
237#14273720—21no—
238#14273720—21no—
239#14273720—21no—
240#14273720D411yescharacteristic
241#14273720D411yescharacteristic
242#14273719—21no—
243#14273719—21no—
244#14273719C2311yescharacteristic
245#14273718—21no—
246#14273718D411yescharacteristic
247#14273718C2311yescharacteristic
248#14273718C2311yescharacteristic
249#14273718C2311yescharacteristic
250#14273718C2311yescharacteristic
251#14273717—21no—
252#14273717—21no—
253#14273717—21no—
254#14273717—21no—
255#14273715C2311yescharacteristic
256#14273714—21no—
257#14273714—21no—
258#14273714—21no—
259#14273714—21no—
260#14273714D411yescharacteristic
261#14273714C2311yescharacteristic
262#14273714C2311yescharacteristic
263#14273713—21no—
264#14273713—21no—
265#14273713—21no—
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273711—21no—
270#14273711—21no—
271#14273710—21no—
272#14273710—21no—
273#14273710—21no—
274#14273709—21no—
275#14273709—21no—
276#14273709—21no—
277#14273709—21no—
278#14273709—21no—
279#14273709D411yescharacteristic
280#14273709D411yescharacteristic
281#14273708—21no—
282#14273708—21no—
283#14273708—21no—
284#14273708—21no—
285#14273707—21no—
286#14273707D411yescharacteristic
287#14273707C2311yescharacteristic
288#14273707C2311yescharacteristic
289#14273706—21no—
290#14273706—21no—
291#14273706—21no—
292#14273706C2311yescharacteristic
293#14273706C2311yescharacteristic
294#14273706C2311yescharacteristic
295#14273705—21no—
296#14273705—21no—
297#14273705—21no—
298#14273705—21no—
299#14273705—21no—
300#14273704—21no—
301#14273704—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704—21no—
306#14273704—21no—
307#14273702C2311yescharacteristic
308#14273701C2311yescharacteristic
309#14273700—21no—
310#14273700—21no—
311#14273699—21no—
312#14273699—21no—
313#14273699—21no—
314#14273698—21no—
315#14273698—21no—
316#14273698D411yescharacteristic
317#14273698C2311yescharacteristic
318#14273697—21no—
319#14273695—21no—
320#14273695—21no—
321#14273695—21no—
322C4×Dic118—21no—
323C4×Dic118C2311yescharacteristic
324C4×Dic118C2311yescharacteristic
325#14273692—21no—
326#14273692—21no—
327#14273692—21no—
328#14273692C2311yescharacteristic
329#14273692C2311yescharacteristic
330#14273692C2311yescharacteristic
331#14273692C2311yescharacteristic
332C4×D236—21no—
333C4×D236—21no—
334C4×D236C2311yescharacteristic
335D4×Dic59—21no—
336D4×Dic59C2311yescharacteristic
337D4×Dic59C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339#14273689—21no—
340#14273689C2311yescharacteristic
341#14273689C2311yescharacteristic
342#14273689C2311yescharacteristic
343#14273689C2311yescharacteristic
344#14273689C2311yescharacteristic
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59C2311yescharacteristic
351C4×C22⋊D59C2311yescharacteristic
352(C22⋊D59)⋊C4—21no—
353#14273686—21no—
354#14273686—21no—
355#14273686C2311yescharacteristic
356#14273686C2311yescharacteristic
357#14273686C2311yescharacteristic
358#14273685—21no—
359#14273685—21no—
360#14273685C2311yescharacteristic
361#14273685C2311yescharacteristic
362#14273684—21no—
363#14273683—21no—
364#14273683—21no—
365C2×C4⋊Dic59C2311yescharacteristic
366C2×Dic59⋊C4—21no—
367C4⋊C4×D59—21no—
368C4⋊C4×D59—21no—
369C4⋊C4×D59C2311yescharacteristic
370C22⋊C4×D59—21no—
371C22⋊C4×D59—21no—
372C22⋊C4×D59—21no—
373C22⋊C4×D59—21no—
374C22⋊C4×D59—21no—
375C42×D59C2311yescharacteristic
376#14273661C2311yescharacteristic
377#14273660C2311yescharacteristic
378#14273660C2311yescharacteristic
379#14273660C2311yescharacteristic
380#14273660C2311yescharacteristic
381#14273660C2311yescharacteristic
382#14273660C2311yescharacteristic
383#14273659C2311yescharacteristic
384#14273659C2311yescharacteristic
385#14273658C2311yescharacteristic
386#14273658C2311yescharacteristic
387#14273658C2311yescharacteristic
388#14273658C2311yescharacteristic
389#14273658C2311yescharacteristic
390#14273658C2311yescharacteristic
391C4⋊(C59⋊C8)C2311yescharacteristic
392Dic59⋊C8C2311yescharacteristic
393Dic59⋊C8C2311yescharacteristic
394Dic59⋊C8C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400#14273652C2311yescharacteristic
401#14273652C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273650C2311yescharacteristic
405#14273650C2311yescharacteristic
406#14273650C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
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×D8×C59C2311yescharacteristic
436C22×C8×C59C2311yescharacteristic
437C22×C8×C59C2311yescharacteristic
438#126×C59—21no—
439#126×C59—21no—
440#125×C59C2311yescharacteristic
441#125×C59C2311yescharacteristic
442#123×C59—21no—
443#123×C59—21no—
444#121×C59—21no—
445#121×C59—21no—
446#121×C59C2311yescharacteristic
447#121×C59C2311yescharacteristic
448#121×C59C2311yescharacteristic
449#121×C59C2311yescharacteristic
450C4×D4×C59—21no—
451C4×D4×C59—21no—
452C4×D4×C59C2311yescharacteristic
453C4×D4×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455#117×C59C2311yescharacteristic
456#117×C59C2311yescharacteristic
457C2×C4⋊C4×C59C2311yescharacteristic
458C2×C4⋊C4×C59C2311yescharacteristic
459#107×C59C2311yescharacteristic
460#107×C59C2311yescharacteristic
461#107×C59C2311yescharacteristic
462#107×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#106×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468C4⋊C8×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
478C23×D59—21no—
479C23×D59—21no—
480C2×D4×C59—21no—
481C2×D4×C59—21no—
482C2×D4×C59—21no—
483C2×D4×C59—21no—
484C2×D4×C59C2×D411yescharacteristic
485C2×D4×C59C2411yescharacteristic
486C2×D4×C59C2411yescharacteristic
487C22×C4×C59—21no—
488C22×C4×C59—21no—
489C22×C4×C59—21no—
490C22×C4×C59—21no—
491C22×C4×C59C2411yescharacteristic
492C22×C4×C59C2411yescharacteristic
493C2×C22⋊D59—21no—
494C2×C22⋊D59—21no—
495C2×C22⋊D59—21no—
496C2×C22⋊D59—21no—
497C2×C22⋊D59—21no—
498C2×C22⋊D59—21no—
499C2×C22⋊D59C2×D411yescharacteristic
500C2×C22⋊D59C2×D411yescharacteristic
501C22×Dic59—21no—
502C22×Dic59—21no—
503C22×Dic59—21no—
504C22×Dic59—21no—
505D4×D59—22no—
506D4×D59—41no—
507D4×D59—82no—
508#11745685—22no—
509#11745685—41no—
510#11745685—82no—
511C2×D236—22no—
512C2×D236—21no—
513C2×D236—21no—
514C2×D236—41no—
515C2×D236C2411yescharacteristic
516C2×D236C2411yescharacteristic
517C2×C4×D59—21no—
518C2×C4×D59—21no—
519C2×C4×D59—21no—
520C2×C4×D59—21no—
521C2×C4×D59—21no—
522C2×C4×D59—21no—
523C2×C4×D59—21no—
524C2×C4×D59—21no—
525C2×C4×D59—82no—
526C2×C4×D59C2×D411yescharacteristic
527C2×C4×D59C2×D411yescharacteristic
528C2×C4×D59C2411yescharacteristic
529C2×Dic118—21no—
530C2×Dic118—21no—
531C2×Dic118—21no—
532C2×Dic118—21no—
533C2×Dic118—21no—
534C2×Dic118C2×D411yescharacteristic
535C2×Dic118C2411yescharacteristic
536C2×Dic118C2411yescharacteristic
537D8×C59—41no—
538C2×C8×C59—41no—
539C2×C8×C59—41no—
540C2×C8×C59C2411yescharacteristic
541C2×C8×C59C2411yescharacteristic
542C2×C8×C59C2411yescharacteristic
543C2×C8×C59C2411yescharacteristic
544C4⋊C4×C59—21no—
545C4⋊C4×C59—21no—
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
555C4⋊C4×C59C2411yescharacteristic
556C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
565C22⋊C4×C59C2×D411yescharacteristic
566C22⋊C4×C59C2×D411yescharacteristic
567C42×C59—21no—
568C42×C59—21no—
569C42×C59C2411yescharacteristic
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⋊Dic59C2×D411yescharacteristic
583C22⋊Dic59C2×D411yescharacteristic
584C22⋊Dic59C2×D411yescharacteristic
585C22⋊Dic59C2×D411yescharacteristic
586C22⋊Dic59C2×D411yescharacteristic
587C22⋊Dic59C2×D411yescharacteristic
588#11745670—41no—
589#11745670—41no—
590#11745669—22no—
591#11745669—41no—
592(C2×D59)⋊C4—21no—
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)⋊C4—21no—
604(C2×D59)⋊C4—21no—
605(C2×D59)⋊C4—21no—
606(C2×D59)⋊C4C2×D411yescharacteristic
607(C2×D59)⋊C4C2×D411yescharacteristic
608C4⋊Dic59—21no—
609C4⋊Dic59—21no—
610C4⋊Dic59—21no—
611C4⋊Dic59—21no—
612C4⋊Dic59—21no—
613C4⋊Dic59—21no—
614C4⋊Dic59—21no—
615C4⋊Dic59C2×D411yescharacteristic
616C4⋊Dic59C2×D411yescharacteristic
617C4⋊Dic59C2×D411yescharacteristic
618C4⋊Dic59C2×D411yescharacteristic
619C4⋊Dic59C2×D411yescharacteristic
620C4⋊Dic59C2411yescharacteristic
621C4⋊Dic59C2411yescharacteristic
622C4⋊Dic59C2411yescharacteristic
623C4⋊Dic59C2411yescharacteristic
624Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
645Dic59⋊C4C2×D411yescharacteristic
646Dic59⋊C4C2×D411yescharacteristic
647Dic59⋊C4C2×D411yescharacteristic
648C4×Dic59—21no—
649C4×Dic59—21no—
650C4×Dic59—21no—
651C4×Dic59—21no—
652C4×Dic59—21no—
653C4×Dic59—21no—
654C4×Dic59—21no—
655C4×Dic59—21no—
656C4×Dic59C2×D411yescharacteristic
657C4×Dic59C2×D411yescharacteristic
658C4×Dic59C2411yescharacteristic
659C4×Dic59C2411yescharacteristic
660C4×Dic59C2411yescharacteristic
661#11745664—41no—
662#11745664—41no—
663C2×C59⋊C8C2411yescharacteristic
664C2×C59⋊C8C2411yescharacteristic
665C2×C59⋊C8C2411yescharacteristic
666C2×C59⋊C8C2411yescharacteristic
667Dic236—41no—
668#11745660—22no—
669#11745660—41no—
670#11745659—41no—
671#11745659—41no—
672C23×C59—21no—
673C23×C59—21no—
674C23×C59C22×D411yescharacteristic
675C23×C59C22×D411yescharacteristic
676C22×D59—21no—
677C22×D59—21no—
678C22×D59—42no—
679C22×D59—42no—
680C22×D59—42no—
681C22×D59—81no—
682C22×D59—81no—
683C22×D59—81no—
684C22×D59C22×D411yescharacteristic
685D4×C59—21no—
686D4×C59—21no—
687D4×C59—21no—
688D4×C59—21no—
689D4×C59—41no—
690D4×C59—81no—
691D4×C59—81no—
692D4×C59—81no—
693D4×C59—81no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—81no—
705C2×C4×C59—81no—
706C2×C4×C59—81no—
707C2×C4×C59—81no—
708C2×C4×C59C22×D411yescharacteristic
709C2×C4×C59C22×D411yescharacteristic
710C2×C4×C59C22×D411yescharacteristic
711C2×C4×C59C22×D411yescharacteristic
712C2×C4×C59C2511yescharacteristic
713C22⋊D59—41no—
714C22⋊D59—41no—
715C22⋊D59—42no—
716C22⋊D59—42no—
717C22⋊D59—81no—
718C22⋊D59—81no—
719C22⋊D59—81no—
720C22⋊D59—81no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—81no—
728C2×Dic59—81no—
729C2×Dic59—81no—
730C2×Dic59—81no—
731C2×Dic59C22×D411yescharacteristic
732C2×Dic59C22×D411yescharacteristic
733C2×Dic59C22×D411yescharacteristic
734C2×Dic59C22×D411yescharacteristic
735C2×Dic59C22×D411yescharacteristic
736C2×Dic59C22×D411yescharacteristic
737C2×Dic59C22×D411yescharacteristic
738D236—21no—
739D236—21no—
740D236—21no—
741D236—42no—
742D236—42no—
743D2362−1+412yes—
744C4×D59—21no—
745C4×D59—21no—
746C4×D59—41no—
747C4×D59—41no—
748C4×D59—42no—
749C4×D59—42no—
750C4×D59—81no—
751C4×D59—81no—
752C4×D59—81no—
753C4×D59—81no—
754C4×D59—81no—
755C4×D59—81no—
756Dic118—21no—
757Dic118—21no—
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—21no—
780C22×C59—21no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59C23×D411yescharacteristic
788C2×D59—21no—
789C2×D59—21no—
790C2×D59—21no—
791C2×D59—22no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—84no—
798C2×D59—162no—
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×C59—41no—
809C4×C59C2×2−1+411yescharacteristic
810C4×C59#58511yescharacteristic
811Dic59—21no—
812Dic59—21no—
813Dic59—21no—
814Dic59—21no—
815Dic59—21no—
816Dic59—21no—
817Dic59—21no—
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#3339D5911yescharacteristic, complemented
836#3324—591no—
837#3323—591no—
838#3322—591no—
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—41no—
856C2×C59—41no—
857C2×C59—81no—
858C2×C59—81no—
859C2×C59#348911yescharacteristic
860C2×C59#358411yescharacteristic
861C2×C59#358511yescharacteristic
862D59—41no—
863D59—42no—
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—1181no—
876#553C2×D5911yescharacteristic
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—591no—
887#546—1181no—
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#499C2×D5911yescharacteristic, complemented
915#498—591no—
916#490—591no—
917#489—591no—
918#488—591no—
919#488—591no—
920#488—591no—
921#486—591no—
922#485—591no—
923#485—591no—
924#485—591no—
925#485—591no—
926#484—591no—
927#483—591no—
928#483—591no—
929#482—591no—
930#482—591no—
931#482—591no—
932#482—591no—
933#482C2×D5911yescharacteristic
934#482C2×D5911yescharacteristic, complemented
935#481—591no—
936#481—591no—
937#481C2×D5911yescharacteristic, complemented
938#481C2×D5911yescharacteristic, complemented
939#480—591no—
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#478C2×D5911yescharacteristic, complemented
955#478C2×D5911yescharacteristic, complemented
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#469—591no—
973#468—591no—
974#468—591no—
975#468—591no—
976#468—591no—
977#468—591no—
978#467—591no—
979#466C2×D5911yescharacteristic
980#466C2×D5911yescharacteristic, complemented
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#463—591no—
990#460—591no—
991#459—591no—
992#452—591no—
993#450—591no—
994#450—591no—
995#449—591no—
996#447—591no—
997#447—591no—
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, complemented
1012#436—591no—
1013#436—591no—
1014#436—591no—
1015#435—591no—
1016#435—591no—
1017C8×D4C2×D5911yescharacteristic, complemented
1018#433—591no—
1019#433—591no—
1020#431—591no—
1021#428—591no—
1022#428—591no—
1023#428—591no—
1024#428—591no—
1025#427C2×D5911yescharacteristic, complemented
1026C2×#107C2×D5911yescharacteristic, complemented
1027#424—591no—
1028#424—591no—
1029#423—591no—
1030#418—591no—
1031#418—591no—
1032#418—591no—
1033#417—591no—
1034#416—591no—
1035C2×#102—591no—
1036C59#6217511yescharacteristic, complemented, Sylow
1037C2×#41—591no—
1038C2×#41—1181no—
1039C22×D4—591no—
1040C22×D4—591no—
1041C22×D4—1181no—
1042C23×C4—1181no—
1043C2×Q16—591no—
1044C2×SD16—591no—
1045C2×SD16—591no—
1046C2×SD16—591no—
1047C2×SD16—591no—
1048C2×D8—591no—
1049C2×D8—591no—
1050C2×D8C22×D5911yescharacteristic
1051C2×M16—591no—
1052C2×M16—591no—
1053C2×M16—591no—
1054C2×M16—591no—
1055C22×C8C22×D5911yescharacteristic
1056C22×C8C22×D5911yescharacteristic
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—21no—
1068#126—591no—
1069#126—591no—
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—1181no—
1088#125—1181no—
1089#125—1181no—
1090#125—1181no—
1091#125—1181no—
1092#125—1181no—
1093#125—1181no—
1094#125C22×D5911yescharacteristic
1095#125C22×D5911yescharacteristic
1096#124—591no—
1097#124—591no—
1098#124—591no—
1099#124—591no—
1100#124—1181no—
1101#124—1181no—
1102#124—1181no—
1103#124—1181no—
1104#124—1181no—
1105#124—1181no—
1106#124—1181no—
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—591no—
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⋊Q8—1181no—
1150#121—21no—
1151#121—21no—
1152#121—591no—
1153#121—591no—
1154#121—591no—
1155#121—591no—
1156#121—1181no—
1157#121—1181no—
1158#121—1181no—
1159#121—1181no—
1160#121—1181no—
1161#121—1181no—
1162#121—1181no—
1163#121C22×D5911yescharacteristic
1164#121C22×D5911yescharacteristic
1165#121C22×D5911yescharacteristic
1166#121C22×D5911yescharacteristic
1167#120—1181no—
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—21no—
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—591no—
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—1181no—
1213#117—1181no—
1214#117—1181no—
1215#117—1181no—
1216#117—1181no—
1217#117—1181no—
1218#117—1181no—
1219#117C22×D5911yescharacteristic
1220#117C22×D5911yescharacteristic
1221C2×C4⋊C4—591no—
1222C2×C4⋊C4—591no—
1223C2×C4⋊C4—1181no—
1224C2×C4⋊C4—1181no—
1225C2×C4⋊C4—1181no—
1226C2×C4⋊C4C22×D5911yescharacteristic
1227C2×C4⋊C4C22×D5911yescharacteristic
1228C2×C22⋊C4—1181no—
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#107C22×D5911yescharacteristic
1242#107C22×D5911yescharacteristic
1243#107C22×D5911yescharacteristic
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#106C22×D5911yescharacteristic
1255#106C22×D5911yescharacteristic
1256#106C22×D5911yescharacteristic
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#103—591no—
1276#103—591no—
1277#103—591no—
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#102—591no—
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—1181no—
1313C24—1181no—
1314#41—1182no—
1315#41—4722no—
1316#41—2361no—
1317C2×Q8—591no—
1318C2×Q8—591no—
1319C2×Q8—591no—
1320C2×Q8—1181no—
1321C2×Q8—1181no—
1322C2×Q8—1181no—
1323C2×Q8—1181no—
1324C2×Q8—1181no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—591no—
1330C2×D4—591no—
1331C2×D4—591no—
1332C2×D4—591no—
1333C2×D4—1182no—
1334C2×D4—1181no—
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×D4—2361no—
1346C2×D4D4×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—1182no—
1373SD16—2361no—
1374SD16—2361no—
1375SD16—2361no—
1376D8—41no—
1377D8—1182no—
1378D8—2361no—
1379M16—2361no—
1380M16—2361no—
1381M16—2361no—
1382M16—2361no—
1383C2×C8—41no—
1384C2×C8—41no—
1385C2×C8—591no—
1386C2×C8—591no—
1387C2×C8—591no—
1388C2×C8—591no—
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—21no—
1398C4⋊C4—21no—
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⋊C4D4×D5911yescharacteristic
1440C4⋊C4C23×D5911yescharacteristic
1441C4⋊C4C23×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—591no—
1455C22⋊C4—591no—
1456C22⋊C4—591no—
1457C22⋊C4—591no—
1458C22⋊C4—591no—
1459C22⋊C4—591no—
1460C22⋊C4—591no—
1461C22⋊C4—591no—
1462C22⋊C4—1181no—
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—21no—
1492C42—591no—
1493C42—591no—
1494C42—591no—
1495C42—591no—
1496C42—591no—
1497C42—1181no—
1498C42—1181no—
1499C42—1181no—
1500C42—1181no—
1501C42—1181no—
1502C42—1181no—
1503C42—1181no—
1504C42—1181no—
1505C42C23×D5911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—591no—
1509C23—1181no—
1510C23—1181no—
1511C23—4721no—
1512C23—4721no—
1513C23—4721no—
1514C23—2362no—
1515C23—2362no—
1516C23—2362no—
1517C23C2×D4×D5911yescharacteristic
1518C23C2×D4×D5911yescharacteristic
1519Q8—1181no—
1520Q8—1181no—
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—41no—
1534D4—81no—
1535D4—81no—
1536D4—81no—
1537D4—81no—
1538D4—592no—
1539D4—1181no—
1540D4—1181no—
1541D4—1181no—
1542D4—4721no—
1543D4—4721no—
1544D4—4721no—
1545D4—4721no—
1546D4—2362no—
1547D4—2362no—
1548D4—2361no—
1549D4—2361no—
1550D4—2362no—
1551D4—2362no—
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—21no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—591no—
1567C2×C4—591no—
1568C2×C4—591no—
1569C2×C4—591no—
1570C2×C4—591no—
1571C2×C4—591no—
1572C2×C4—591no—
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—2361no—
1592C2×C4—2361no—
1593C2×C4—2362no—
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—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—1181no—
1621C22—1182no—
1622C22—1181no—
1623C22—1181no—
1624C22—9442no—
1625C22—4724no—
1626C22—2361no—
1627C22—2361no—
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—41no—
1642C4—1181no—
1643C4—1181no—
1644C4—1181no—
1645C4—1181no—
1646C4—1181no—
1647C4—1181no—
1648C4—1181no—
1649C4—2361no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C42−1+4×D5911yescharacteristic
1656C4#1683823811yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—81no—
1660C2—81no—
1661C2—4721no—
1662C2—2361no—
1663C2—2362no—
1664C2#2143777011yescharacteristic
1665C2#2143886511yescharacteristic
1666C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3339C2
socleC22×C59C23×D4
hypercenter#3339D59
hypocenterC59#62175
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3339

Complements

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

NH ≅ G/Ntype
1. #21438731C2semidirect
2. #21438043C2semidirect
3. #21437054C2semidirect
4. #21436968C2semidirect
5. #21436862C2semidirect
6. #21436757C2semidirect
7. #21436684C2semidirect
8. #21436650C2semidirect
9. #21436649C2semidirect
10. #21436622C2semidirect
11. #21436532C2semidirect
12. #21436325C2semidirect
13. #21436315C2semidirect
14. #21436291C2semidirect
15. #21436258C2semidirect
16. #21436243C2semidirect
17. #21435933C2semidirect
18. #21435551C2semidirect
19. #21435500C2semidirect
20. #21435496C2semidirect
21. #21435392C2semidirect
22. #21435353C2semidirect
23. #21435276C2semidirect
24. #21434376C2semidirect
25. #21434275C2semidirect
26. #21434141C2semidirect
27. #21433952C2semidirect
28. #21433930C2semidirect
29. #21433891C2semidirect
30. #21433246C2semidirect
31. C59×#3339C2semidirect
35. #16838129C22semidirect
38. #16838116C22semidirect
39. #16838111C22semidirect
43. #16838092C22semidirect
46. #16838087C22semidirect
54. #16838033C22semidirect
55. #16838030C22semidirect
59. #16838019C22semidirect
60. #16838019C22semidirect
66. #16837958C22semidirect
69. #16837934C22semidirect
75. #16837810C22semidirect
76. #16837809C22semidirect
77. #16837802C22semidirect
78. #16837801C22semidirect
79. #16837799C22semidirect
81. #16837760C22semidirect
82. #16837759C22semidirect
83. #16837757C22semidirect
84. #16837755C22semidirect
86. #16837746C22semidirect
87. #16837745C22semidirect
88. #16837743C22semidirect
89. #16837743C22semidirect
90. #16837739C22semidirect
91. #16837733C22semidirect
92. #16837732C22semidirect
95. #16837727C22semidirect
96. #16837723C22semidirect
97. #16837719C22semidirect
99. #16837715C22semidirect
100. #16837708C22semidirect
101. #16837708C22semidirect
102. #16837708C22semidirect
103. #16837706C22semidirect
106. #16837705C22semidirect
107. #16837704C22semidirect
108. #16837704C22semidirect
110. #16837702C22semidirect
112. #16837701C22semidirect
114. #16837696C22semidirect
115. #16837696C22semidirect
116. #16837696C22semidirect
118. #16837691C22semidirect
119. #16837691C22semidirect
120. #16837690C22semidirect
121. #16837686C22semidirect
125. #16837681C22semidirect
126. #16837680C22semidirect
127. #16837680C22semidirect
128. #16837661C22semidirect
130. #16837653C22semidirect
132. #16837647C22semidirect
134. #16837646C22semidirect
135. #16837646C22semidirect
136. #16837643C22semidirect
137. #16837631C22semidirect
138. #16837625C22semidirect
139. #16837623C22semidirect
140. #16837623C22semidirect
141. #16837617C22semidirect
143. #16837616C22semidirect
144. #16837615C22semidirect
145. #16837615C22semidirect
154. #16837529C22semidirect
155. C8×Dic118C22semidirect
158. #16837508C22semidirect
159. #16837501C22semidirect
160. #16837493C22semidirect
164. C4×#11745670C22semidirect
166. #16837482C22semidirect
167. #16837480C22semidirect
169. #16837477C22semidirect
171. #16837473C22semidirect
172. #16837460C22semidirect
173. #16837460C22semidirect
174. #16837453C22semidirect
175. #16837445C22semidirect
176. #16837443C22semidirect
177. #16837442C22semidirect
178. #16837441C22semidirect
179. #16837428C22semidirect
180. #16837428C22semidirect
181. #16837424C22semidirect
189. C59×#553C22semidirect
190. C59×#499C22semidirect
192. C59×#482C22semidirect
193. C59×#481C22semidirect
194. C59×#481C22semidirect
195. C59×#478C22semidirect
196. C59×#478C22semidirect
198. C59×#466C22semidirect
199. C4×D8×C59C22semidirect
200. C8×D4×C59C22semidirect
201. C59×#427C22semidirect
202. C2×#107×C59C22semidirect
835. #3339D59semidirect
877. #553C2×D59semidirect
914. #499C2×D59semidirect
934. #482C2×D59semidirect
937. #481C2×D59semidirect
938. #481C2×D59semidirect
954. #478C2×D59semidirect
955. #478C2×D59semidirect
980. #466C2×D59semidirect
1011. C4×D8C2×D59semidirect
1017. C8×D4C2×D59semidirect
1025. #427C2×D59semidirect
1026. C2×#107C2×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
#214380432
#214370542
#214369682
#214368622
#214367572
#214366842
#214366502
#214366492
#214366222
#214365322
#214363252
#214363152
#214362912
#214362582
#214362432
#214359332
#214355512
#214355002
#214354962
#214353922
#214353532
#214352762
#214343762
#214342752
#214341412
#214339522
#214339302
#214338912
#214332462
C59×#33392
#6217559