Finite Group Databasebeta

← #29485911

Subgroups — #29485911

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#21438744C211yesmaximal, characteristic, complemented
2#21438043C211yesmaximal, characteristic, complemented
3#21437057C211yesmaximal, characteristic, complemented
4#21436974C211yesmaximal, characteristic, complemented
5#21436860C211yesmaximal, characteristic, complemented
6#21436759C211yesmaximal, characteristic, complemented
7#21436687C211yesmaximal, characteristic, complemented
8#21436657C211yesmaximal, characteristic, complemented
9#21436630C211yesmaximal, characteristic, complemented
10#21436534C211yesmaximal, characteristic, complemented
11#21436492C211yesmaximal, characteristic, complemented
12#21436322C211yesmaximal, characteristic, complemented
13#21436307C211yesmaximal, characteristic, complemented
14#21436299C211yesmaximal, characteristic, complemented
15#21436250C211yesmaximal, characteristic, complemented
16#21436235C211yesmaximal, characteristic, complemented
17#21435925C211yesmaximal, characteristic, complemented
18#21435553C211yesmaximal, characteristic, complemented
19#21435502C211yesmaximal, characteristic, complemented
20#21435499C211yesmaximal, characteristic, complemented
21#21435390C211yesmaximal, characteristic, complemented
22#21435355C211yesmaximal, characteristic, complemented
23#21435276C211yesmaximal, characteristic, complemented
24#21434368C211yesmaximal, characteristic, complemented
25#21434283C211yesmaximal, characteristic, complemented
26#21434147C211yesmaximal, characteristic, complemented
27#21433946C211yesmaximal, characteristic, complemented
28#21433925C211yesmaximal, characteristic, complemented
29#21433891C211yesmaximal, characteristic, complemented
30#21433240C211yesmaximal, characteristic, complemented
31C59×#3351C211yesmaximal, characteristic, complemented
32#16838156—21no—
33#16838149—21no—
34#16838135C2211yescharacteristic
35#16838128C2211yescharacteristic, complemented
36#16838123C2211yescharacteristic
37#16838119—21no—
38#16838115C2211yescharacteristic, complemented
39#16838108C2211yescharacteristic
40#16838108C2211yescharacteristic, complemented
41#16838102—21no—
42#16838100C2211yescharacteristic
43#16838098C2211yescharacteristic, complemented
44#16838094C2211yescharacteristic, complemented
45#16838091—21no—
46#16838091C2211yescharacteristic
47#16838080—21no—
48#16838077—21no—
49#16838053C2211yescharacteristic
50#16838049—21no—
51#16838049C2211yescharacteristic
52#16838048C2211yescharacteristic
53#16838036C2211yescharacteristic
54#16838033C2211yescharacteristic, complemented
55#16838030C2211yescharacteristic, complemented
56#16838025C2211yescharacteristic, complemented
57#16838025C2211yescharacteristic, complemented
58#16838023—21no—
59#16838020—21no—
60#16838019C2211yescharacteristic
61#16838015—21no—
62#16838005C2211yescharacteristic
63#16837993—21no—
64#16837993—21no—
65#16837984—21no—
66#16837958C2211yescharacteristic, complemented
67#16837939C2211yescharacteristic, complemented
68#16837937C2211yescharacteristic
69#16837934C2211yescharacteristic
70#16837911—21no—
71#123×D59—21no—
72#16837883C2211yescharacteristic
73#16837876C2211yescharacteristic
74C4×D4×D59C2211yescharacteristic
75#16837809C2211yescharacteristic, complemented
76#16837809C2211yescharacteristic, complemented
77#16837803C2211yescharacteristic, 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#16837744C2211yescharacteristic, complemented
89#16837736C2211yescharacteristic, complemented
90#16837732C2211yescharacteristic, complemented
91#16837729C2211yescharacteristic
92#16837728C2211yescharacteristic
93#16837726C2211yescharacteristic, complemented
94#16837726C2211yescharacteristic, complemented
95#16837723C2211yescharacteristic
96#16837722C2211yescharacteristic, complemented
97#16837720C2211yescharacteristic, complemented
98#16837718C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837712C2211yescharacteristic, complemented
101#16837712C2211yescharacteristic, complemented
102#16837707C2211yescharacteristic, complemented
103#16837705C2211yescharacteristic
104#16837705C2211yescharacteristic, complemented
105#16837705C2211yescharacteristic, complemented
106#16837703C2211yescharacteristic
107#16837702C2211yescharacteristic, complemented
108#16837701C2211yescharacteristic
109#16837701C2211yescharacteristic
110#16837701C2211yescharacteristic, complemented
111#16837700C2211yescharacteristic, complemented
112#16837699C2211yescharacteristic
113#16837699C2211yescharacteristic, complemented
114#16837696C2211yescharacteristic, complemented
115#16837696C2211yescharacteristic, complemented
116#16837695C2211yescharacteristic, 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#16837681C2211yescharacteristic, complemented
127#16837680C2211yescharacteristic, complemented
128#16837659C2211yescharacteristic, complemented
129#16837656C2211yescharacteristic
130#16837655C2211yescharacteristic, complemented
131#16837651C2211yescharacteristic
132#16837649C2211yescharacteristic, complemented
133#16837648C2211yescharacteristic, complemented
134#16837641C2211yescharacteristic, complemented
135#16837636C2211yescharacteristic
136#16837636C2211yescharacteristic, complemented
137#16837633C2211yescharacteristic, complemented
138#16837627C2211yescharacteristic, complemented
139#16837624C2211yescharacteristic, complemented
140#16837622C2211yescharacteristic, complemented
141#16837620C2211yescharacteristic
142#16837620C2211yescharacteristic, complemented
143#16837619C2211yescharacteristic, complemented
144#16837618C2211yescharacteristic, complemented
145#16837616C2211yescharacteristic, complemented
146#16837600C2211yescharacteristic
147#16837596C2211yescharacteristic
148#16837562C2211yescharacteristic
149#16837552C2211yescharacteristic
150#16837551C2211yescharacteristic
151#16837549C2211yescharacteristic
152#16837538C2211yescharacteristic
153#16837537C2211yescharacteristic
154#16837532C2211yescharacteristic, complemented
155#16837526C2211yescharacteristic, complemented
156#16837513C2211yescharacteristic
157#16837513C2211yescharacteristic
158#16837506C2211yescharacteristic, complemented
159#16837505C2211yescharacteristic, complemented
160C4×#11745671C2211yescharacteristic
161#16837489C2211yescharacteristic, complemented
162#16837487C2211yescharacteristic
163#16837487C2211yescharacteristic
164C4×D472C2211yescharacteristic
165#16837484C2211yescharacteristic, 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#16837443C2211yescharacteristic, complemented
176#16837441C2211yescharacteristic, complemented
177#16837438C2211yescharacteristic, complemented
178C2×#14273660C2211yescharacteristic, complemented
179#16837430C2211yescharacteristic, complemented
180#16837430C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837408C2211yescharacteristic
183#16837405C2211yescharacteristic
184#16837405C2211yescharacteristic
185#16837404C2211yescharacteristic
186#16837396C2211yescharacteristic
187C2×#14273647C2211yescharacteristic
188C59×#553C2211yescharacteristic
189C59×#552C2211yescharacteristic, complemented
190C59×#499C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#482C2211yescharacteristic, complemented
194C59×#481C2211yescharacteristic
195C59×#479C2211yescharacteristic, complemented
196C59×#478C2211yescharacteristic, complemented
197C59×#468C2211yescharacteristic
198C59×#468C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#428C2211yescharacteristic, complemented
202C59×#428C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C22×D236C2311yescharacteristic
206C2×D4×D59—21no—
207C2×D4×D59C2311yescharacteristic
208C22×C4×D59—21no—
209C2×#11745672C2311yescharacteristic
210C2×#11745660C2311yescharacteristic
211C2×#11745671C2311yescharacteristic
212C2×#11745671C2311yescharacteristic
213C2×D472C2311yescharacteristic
214C2×D472C2311yescharacteristic
215C2×#11745669C2311yescharacteristic
216C2×#11745659C2311yescharacteristic
217C2×#11745659C2311yescharacteristic
218C22×C59⋊C8C2311yescharacteristic
219C22×C59⋊C8C2311yescharacteristic
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#14273722—21no—
232#14273722—21no—
233#14273722—21no—
234#14273722—21no—
235#14273722—21no—
236#14273722—21no—
237#14273720—21no—
238#14273720—21no—
239#14273720—21no—
240#14273720D411yescharacteristic
241#14273720D411yescharacteristic
242#14273719—21no—
243#14273719—21no—
244#14273719—21no—
245#14273719C2311yescharacteristic
246#14273718—21no—
247#14273718—21no—
248#14273718—21no—
249#14273718D411yescharacteristic
250#14273718C2311yescharacteristic
251#14273718C2311yescharacteristic
252#14273718C2311yescharacteristic
253#14273718C2311yescharacteristic
254#14273716C2311yescharacteristic
255#14273715—21no—
256#14273715C2311yescharacteristic
257#14273714—21no—
258#14273714D411yescharacteristic
259#14273714C2311yescharacteristic
260#14273713—21no—
261#14273713—21no—
262#14273713—21no—
263#14273713—21no—
264#14273713—21no—
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273712—21no—
269#14273712—21no—
270#14273711—21no—
271#14273711—21no—
272#14273710—21no—
273#14273710—21no—
274#14273709—21no—
275#14273709—21no—
276#14273709—21no—
277#14273709—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709D411yescharacteristic
282#14273709D411yescharacteristic
283#14273708—21no—
284#14273707—21no—
285#14273707—21no—
286#14273707—21no—
287#14273707—21no—
288#14273707D411yescharacteristic
289#14273707C2311yescharacteristic
290#14273706—21no—
291#14273706—21no—
292#14273706C2311yescharacteristic
293#14273705—21no—
294#14273705—21no—
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#14273703C2311yescharacteristic
304#14273702C2311yescharacteristic
305#14273702C2311yescharacteristic
306#14273701—21no—
307#14273701C2311yescharacteristic
308#14273701C2311yescharacteristic
309#14273701C2311yescharacteristic
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273699—21no—
314#14273699—21no—
315#14273698—21no—
316#14273698—21no—
317#14273698D411yescharacteristic
318#14273697—21no—
319#14273695—21no—
320#14273695—21no—
321#14273695—21no—
322Q8×Dic59C2311yescharacteristic
323Q8×Dic59C2311yescharacteristic
324C4×Dic118—21no—
325C4×Dic118C2311yescharacteristic
326#14273692—21no—
327#14273692—21no—
328#14273692—21no—
329#14273692C2311yescharacteristic
330#14273692C2311yescharacteristic
331C4×D236—21no—
332C4×D236—21no—
333C4×D236—21no—
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336D4×Dic59C2311yescharacteristic
337#14273689—21no—
338#14273689C2311yescharacteristic
339#14273689C2311yescharacteristic
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(C22⋊D59)⋊C4—21no—
354#14273686C2311yescharacteristic
355#14273686C2311yescharacteristic
356#14273686C2311yescharacteristic
357#14273685—21no—
358#14273685—21no—
359#14273685C2311yescharacteristic
360#14273685C2311yescharacteristic
361#14273684—21no—
362#14273684—21no—
363#14273684—21no—
364#14273683—21no—
365C2×C4⋊Dic59C2311yescharacteristic
366C4⋊C4×D59—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#14273661C2311yescharacteristic
378#14273660C2311yescharacteristic
379#14273660C2311yescharacteristic
380#14273660C2311yescharacteristic
381#14273660C2311yescharacteristic
382#14273660C2311yescharacteristic
383#14273660C2311yescharacteristic
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#14273651C2311yescharacteristic
404#14273650C2311yescharacteristic
405#14273650C2311yescharacteristic
406#14273650C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273647C2311yescharacteristic
418#14273647C2311yescharacteristic
419#14273647C2311yescharacteristic
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×SD16×C59C2311yescharacteristic
436C2×M16×C59C2311yescharacteristic
437C2×M16×C59C2311yescharacteristic
438#126×C59—21no—
439#126×C59—21no—
440#125×C59—21no—
441#125×C59C2311yescharacteristic
442#125×C59C2311yescharacteristic
443#123×C59—21no—
444#123×C59—21no—
445C22⋊Q8×C59C2311yescharacteristic
446C22⋊Q8×C59C2311yescharacteristic
447#121×C59—21no—
448#121×C59C2311yescharacteristic
449#121×C59C2311yescharacteristic
450C4×Q8×C59C2311yescharacteristic
451C4×D4×C59—21no—
452C4×D4×C59C2311yescharacteristic
453C4×D4×C59C2311yescharacteristic
454#117×C59—21no—
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#106×C59C2311yescharacteristic
464#106×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×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×Q8×C59C2411yescharacteristic
481C2×D4×C59—21no—
482C2×D4×C59—21no—
483C2×D4×C59C2×D411yescharacteristic
484C2×D4×C59C2411yescharacteristic
485C22×C4×C59—21no—
486C22×C4×C59—21no—
487C22×C4×C59—21no—
488C22×C4×C59C2411yescharacteristic
489C22×C4×C59C2411yescharacteristic
490C2×C22⋊D59—21no—
491C2×C22⋊D59—21no—
492C2×C22⋊D59—21no—
493C2×C22⋊D59—21no—
494C2×C22⋊D59—21no—
495C2×C22⋊D59—21no—
496C2×C22⋊D59—21no—
497C2×C22⋊D59C2×D411yescharacteristic
498C2×C22⋊D59C2×D411yescharacteristic
499C22×Dic59—21no—
500C22×Dic59—21no—
501D4×D59—22no—
502D4×D59—41no—
503D4×D59—82no—
504#11745685—22no—
505#11745685—41no—
506#11745685—82no—
507C2×D236—22no—
508C2×D236—21no—
509C2×D236—21no—
510C2×D236—21no—
511C2×D236—41no—
512C2×D236C2411yescharacteristic
513C2×D236C2411yescharacteristic
514C2×D236C2411yescharacteristic
515C2×C4×D59—21no—
516C2×C4×D59—21no—
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—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—
538M16×C59—41no—
539M16×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×C59—21no—
551C4⋊C4×C59—21no—
552C4⋊C4×C59—21no—
553C4⋊C4×C59C2×D411yescharacteristic
554C4⋊C4×C59C2411yescharacteristic
555C4⋊C4×C59C2411yescharacteristic
556C4⋊C4×C59C2411yescharacteristic
557C4⋊C4×C59C2411yescharacteristic
558C4⋊C4×C59C2411yescharacteristic
559C4⋊C4×C59C2411yescharacteristic
560C22⋊C4×C59—21no—
561C22⋊C4×C59—21no—
562C22⋊C4×C59—21no—
563C22⋊C4×C59—21no—
564C22⋊C4×C59—21no—
565C22⋊C4×C59—21no—
566C22⋊C4×C59—21no—
567C22⋊C4×C59C2×D411yescharacteristic
568C22⋊C4×C59C2×D411yescharacteristic
569C42×C59—21no—
570C42×C59—21no—
571C42×C59—21no—
572C42×C59C2411yescharacteristic
573C22⋊Dic59—21no—
574C22⋊Dic59—21no—
575C22⋊Dic59—21no—
576C22⋊Dic59—21no—
577C22⋊Dic59—21no—
578C22⋊Dic59C2×D411yescharacteristic
579C22⋊Dic59C2×D411yescharacteristic
580C22⋊Dic59C2×D411yescharacteristic
581C22⋊Dic59C2×D411yescharacteristic
582C22⋊Dic59C2×D411yescharacteristic
583C22⋊Dic59C2×D411yescharacteristic
584#11745672—41no—
585#11745671—22no—
586#11745671—41no—
587#11745669—41no—
588(C2×D59)⋊C4—21no—
589(C2×D59)⋊C4—21no—
590(C2×D59)⋊C4—21no—
591(C2×D59)⋊C4—21no—
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)⋊C4—21no—
607(C2×D59)⋊C4—21no—
608(C2×D59)⋊C4—21no—
609(C2×D59)⋊C4—21no—
610(C2×D59)⋊C4C2×D411yescharacteristic
611(C2×D59)⋊C4C2×D411yescharacteristic
612C4⋊Dic59—21no—
613C4⋊Dic59—21no—
614C4⋊Dic59—21no—
615C4⋊Dic59—21no—
616C4⋊Dic59—21no—
617C4⋊Dic59—21no—
618C4⋊Dic59—21no—
619C4⋊Dic59—21no—
620C4⋊Dic59C2×D411yescharacteristic
621C4⋊Dic59C2×D411yescharacteristic
622C4⋊Dic59C2×D411yescharacteristic
623C4⋊Dic59C2×D411yescharacteristic
624C4⋊Dic59C2×D411yescharacteristic
625C4⋊Dic59C2411yescharacteristic
626C4⋊Dic59C2411yescharacteristic
627C4⋊Dic59C2411yescharacteristic
628C4⋊Dic59C2411yescharacteristic
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×Dic59C2×D411yescharacteristic
657C4×Dic59C2×D411yescharacteristic
658C4×Dic59C2411yescharacteristic
659C4×Dic59C2411yescharacteristic
660C4×Dic59C2411yescharacteristic
661C2×C59⋊C8—41no—
662C2×C59⋊C8—41no—
663C2×C59⋊C8C2411yescharacteristic
664C2×C59⋊C8C2411yescharacteristic
665C2×C59⋊C8C2411yescharacteristic
666C2×C59⋊C8C2411yescharacteristic
667D472—22no—
668D472—41no—
669#11745660—41no—
670#11745659—41no—
671#11745659—41no—
672C23×C59—21no—
673C23×C59C22×D411yescharacteristic
674C23×C59C22×D411yescharacteristic
675C22×D59—21no—
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
685Q8×C59—21no—
686Q8×C59—21no—
687D4×C59—21no—
688D4×C59—21no—
689D4×C59—41no—
690D4×C59—81no—
691D4×C59—81no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
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—81no—
704C2×C4×C59—81no—
705C2×C4×C59—81no—
706C2×C4×C59C22×D411yescharacteristic
707C2×C4×C59C22×D411yescharacteristic
708C2×C4×C59C22×D411yescharacteristic
709C2×C4×C59C22×D411yescharacteristic
710C2×C4×C59C2511yescharacteristic
711C22⋊D59—41no—
712C22⋊D59—41no—
713C22⋊D59—42no—
714C22⋊D59—42no—
715C22⋊D59—81no—
716C22⋊D59—81no—
717C22⋊D59—81no—
718C22⋊D59—81no—
719C22⋊D59—81no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—81no—
726C2×Dic59—81no—
727C2×Dic59C22×D411yescharacteristic
728C2×Dic59C22×D411yescharacteristic
729C2×Dic59C22×D411yescharacteristic
730C2×Dic59C22×D411yescharacteristic
731C2×Dic59C22×D411yescharacteristic
732C2×Dic59C22×D411yescharacteristic
733C2×Dic59C22×D411yescharacteristic
734D236—21no—
735D236—21no—
736D236—21no—
737D236—21no—
738D236—21no—
739D236—42no—
740D236—42no—
741D236—81no—
742D2362−1+412yes—
743C4×D59—21no—
744C4×D59—21no—
745C4×D59—41no—
746C4×D59—41no—
747C4×D59—42no—
748C4×D59—42no—
749C4×D59—81no—
750C4×D59—81no—
751C4×D59—81no—
752C4×D59—81no—
753C4×D59—81no—
754C4×D59—81no—
755C4×D59—81no—
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—21no—
780C22×C59—21no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59C23×D411yescharacteristic
785C2×D59—21no—
786C2×D59—21no—
787C2×D59—21no—
788C2×D59—22no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
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×C59—41no—
810C4×C59C2×2−1+411yescharacteristic
811C4×C59#58511yescharacteristic
812Dic59—21no—
813Dic59—21no—
814Dic59—21no—
815Dic59—21no—
816Dic59—21no—
817Dic59—21no—
818Dic59—21no—
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#3351D5911yescharacteristic, complemented
833#3349—591no—
834#3343—591no—
835#3339—591no—
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#348911yescharacteristic
859C2×C59#358411yescharacteristic
860C2×C59#358511yescharacteristic
861D59—41no—
862D59—42no—
863D59—81no—
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
878#552—591no—
879#552—591no—
880#552—1181no—
881#552C2×D5911yescharacteristic, complemented
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#485C2×D5911yescharacteristic, complemented
926#484—591no—
927#483—591no—
928#483C2×D5911yescharacteristic, complemented
929#482—591no—
930#482—591no—
931#482—591no—
932#482—591no—
933#482—591no—
934#482C2×D5911yescharacteristic, complemented
935#481—591no—
936#481—591no—
937#481—591no—
938#481C2×D5911yescharacteristic
939#480—591no—
940#479—591no—
941#479—591no—
942#479—591no—
943#479C2×D5911yescharacteristic, complemented
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, 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#468C2×D5911yescharacteristic
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#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×SD16C2×D5911yescharacteristic, complemented
1009C4×D8—591no—
1010C4×D8—591no—
1011C4×D8—591no—
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#428C2×D5911yescharacteristic, complemented
1024#428C2×D5911yescharacteristic, complemented
1025#427—591no—
1026C2×#107—591no—
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×SD16C22×D5911yescharacteristic
1048C2×D8—591no—
1049C2×D8—591no—
1050C2×D8—591no—
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—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—21no—
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#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—1181no—
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⋊Q8C22×D5911yescharacteristic
1149C22⋊Q8C22×D5911yescharacteristic
1150#121—21no—
1151#121—591no—
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#121—1181no—
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—1181no—
1177C4×Q8—1181no—
1178C4×Q8—1181no—
1179C4×Q8—1181no—
1180C4×Q8C22×D5911yescharacteristic
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—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×D4—1181no—
1205C4×D4C22×D5911yescharacteristic
1206C4×D4C22×D5911yescharacteristic
1207#117—21no—
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#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#107—591no—
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#106C22×D5911yescharacteristic
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#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#102—591no—
1294#102—591no—
1295#102—591no—
1296#102—591no—
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—1181no—
1320C2×Q8—1181no—
1321C2×Q8—1181no—
1322C2×Q8—1181no—
1323C2×Q8—1181no—
1324C2×Q8C23×D5911yescharacteristic
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—591no—
1328C2×D4—591no—
1329C2×D4—591no—
1330C2×D4—591no—
1331C2×D4—591no—
1332C2×D4—1182no—
1333C2×D4—1181no—
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—1181no—
1344C2×D4—4722no—
1345C2×D4—2361no—
1346C2×D4—2361no—
1347C2×D4D4×D5911yescharacteristic
1348C2×D4C23×D5911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—591no—
1353C22×C4—591no—
1354C22×C4—591no—
1355C22×C4—1181no—
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—1182no—
1377D8—2361no—
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—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
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—591no—
1413C4⋊C4—591no—
1414C4⋊C4—591no—
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—591no—
1454C22⋊C4—591no—
1455C22⋊C4—591no—
1456C22⋊C4—591no—
1457C22⋊C4—591no—
1458C22⋊C4—591no—
1459C22⋊C4—591no—
1460C22⋊C4—591no—
1461C22⋊C4—1181no—
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—21no—
1493C42—591no—
1494C42—591no—
1495C42—591no—
1496C42—591no—
1497C42—591no—
1498C42—1181no—
1499C42—1181no—
1500C42—1181no—
1501C42—1181no—
1502C42—1181no—
1503C42—1181no—
1504C42—1181no—
1505C42C23×D5911yescharacteristic
1506C23—21no—
1507C23—591no—
1508C23—1181no—
1509C23—1181no—
1510C23—1181no—
1511C23—4721no—
1512C23—4721no—
1513C23—4721no—
1514C23—2362no—
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—41no—
1532D4—81no—
1533D4—81no—
1534D4—592no—
1535D4—1181no—
1536D4—1181no—
1537D4—1181no—
1538D4—1181no—
1539D4—1181no—
1540D4—4721no—
1541D4—4721no—
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—21no—
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—4721no—
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—1181no—
1618C22—1182no—
1619C22—1181no—
1620C22—1181no—
1621C22—9442no—
1622C22—4724no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
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—41no—
1643C4—1181no—
1644C4—1181no—
1645C4—1181no—
1646C4—1181no—
1647C4—1181no—
1648C4—1181no—
1649C4—1181no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C42−1+4×D5911yescharacteristic
1656C4#1683823811yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—81no—
1660C2—4721no—
1661C2—4721no—
1662C2—2361no—
1663C2—2362no—
1664C2#2143777011yescharacteristic
1665C2#2143886911yescharacteristic
1666C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3351C2
socleC22×C59C23×D4
hypercenter#3351D59
hypocenterC59#62175
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3351

Complements

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

NH ≅ G/Ntype
1. #21438744C2semidirect
2. #21438043C2semidirect
3. #21437057C2semidirect
4. #21436974C2semidirect
5. #21436860C2semidirect
6. #21436759C2semidirect
7. #21436687C2semidirect
8. #21436657C2semidirect
9. #21436630C2semidirect
10. #21436534C2semidirect
11. #21436492C2semidirect
12. #21436322C2semidirect
13. #21436307C2semidirect
14. #21436299C2semidirect
15. #21436250C2semidirect
16. #21436235C2semidirect
17. #21435925C2semidirect
18. #21435553C2semidirect
19. #21435502C2semidirect
20. #21435499C2semidirect
21. #21435390C2semidirect
22. #21435355C2semidirect
23. #21435276C2semidirect
24. #21434368C2semidirect
25. #21434283C2semidirect
26. #21434147C2semidirect
27. #21433946C2semidirect
28. #21433925C2semidirect
29. #21433891C2semidirect
30. #21433240C2semidirect
31. C59×#3351C2semidirect
35. #16838128C22semidirect
38. #16838115C22semidirect
40. #16838108C22semidirect
43. #16838098C22semidirect
44. #16838094C22semidirect
54. #16838033C22semidirect
55. #16838030C22semidirect
56. #16838025C22semidirect
57. #16838025C22semidirect
66. #16837958C22semidirect
67. #16837939C22semidirect
75. #16837809C22semidirect
76. #16837809C22semidirect
77. #16837803C22semidirect
78. #16837801C22semidirect
79. #16837799C22semidirect
81. #16837760C22semidirect
82. #16837759C22semidirect
83. #16837757C22semidirect
84. #16837755C22semidirect
86. #16837746C22semidirect
87. #16837745C22semidirect
88. #16837744C22semidirect
89. #16837736C22semidirect
90. #16837732C22semidirect
93. #16837726C22semidirect
94. #16837726C22semidirect
96. #16837722C22semidirect
97. #16837720C22semidirect
98. #16837718C22semidirect
99. #16837716C22semidirect
100. #16837712C22semidirect
101. #16837712C22semidirect
102. #16837707C22semidirect
104. #16837705C22semidirect
105. #16837705C22semidirect
107. #16837702C22semidirect
110. #16837701C22semidirect
111. #16837700C22semidirect
113. #16837699C22semidirect
114. #16837696C22semidirect
115. #16837696C22semidirect
116. #16837695C22semidirect
118. #16837691C22semidirect
119. #16837691C22semidirect
120. #16837690C22semidirect
121. #16837686C22semidirect
125. #16837681C22semidirect
126. #16837681C22semidirect
127. #16837680C22semidirect
128. #16837659C22semidirect
130. #16837655C22semidirect
132. #16837649C22semidirect
133. #16837648C22semidirect
134. #16837641C22semidirect
136. #16837636C22semidirect
137. #16837633C22semidirect
138. #16837627C22semidirect
139. #16837624C22semidirect
140. #16837622C22semidirect
142. #16837620C22semidirect
143. #16837619C22semidirect
144. #16837618C22semidirect
145. #16837616C22semidirect
154. #16837532C22semidirect
155. #16837526C22semidirect
158. #16837506C22semidirect
159. #16837505C22semidirect
161. #16837489C22semidirect
165. #16837484C22semidirect
166. C4×#11745669C22semidirect
168. #16837478C22semidirect
170. #16837470C22semidirect
171. D4×C59⋊C8C22semidirect
172. #16837460C22semidirect
173. #16837460C22semidirect
174. #16837453C22semidirect
175. #16837443C22semidirect
176. #16837441C22semidirect
177. #16837438C22semidirect
178. C2×#14273660C22semidirect
179. #16837430C22semidirect
180. #16837430C22semidirect
181. #16837424C22semidirect
189. C59×#552C22semidirect
190. C59×#499C22semidirect
191. C59×#485C22semidirect
192. C59×#483C22semidirect
193. C59×#482C22semidirect
195. C59×#479C22semidirect
196. C59×#478C22semidirect
198. C59×#468C22semidirect
199. C4×SD16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#428C22semidirect
202. C59×#428C22semidirect
832. #3351D59semidirect
881. #552C2×D59semidirect
914. #499C2×D59semidirect
925. #485C2×D59semidirect
928. #483C2×D59semidirect
934. #482C2×D59semidirect
943. #479C2×D59semidirect
955. #478C2×D59semidirect
977. #468C2×D59semidirect
1008. C4×SD16C2×D59semidirect
1014. #436C2×D59semidirect
1023. #428C2×D59semidirect
1024. #428C2×D59semidirect
1036. C59#62175semidirect

Maximal subgroups

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

subgroupindex
#214387442
#214380432
#214370572
#214369742
#214368602
#214367592
#214366872
#214366572
#214366302
#214365342
#214364922
#214363222
#214363072
#214362992
#214362502
#214362352
#214359252
#214355532
#214355022
#214354992
#214353902
#214353552
#214352762
#214343682
#214342832
#214341472
#214339462
#214339252
#214338912
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