Finite Group Databasebeta

← #29485894

Subgroups — #29485894

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#21438743C211yesmaximal, characteristic, complemented
2#21438042C211yesmaximal, characteristic, complemented
3#21437049C211yesmaximal, characteristic, complemented
4#21436970C211yesmaximal, characteristic, complemented
5#21436861C211yesmaximal, characteristic, complemented
6#21436751C211yesmaximal, characteristic, complemented
7#21436694C211yesmaximal, characteristic, complemented
8#21436662C211yesmaximal, characteristic, complemented
9#21436651C211yesmaximal, characteristic, complemented
10#21436632C211yesmaximal, characteristic, complemented
11#21436533C211yesmaximal, characteristic, complemented
12#21436493C211yesmaximal, characteristic, complemented
13#21436322C211yesmaximal, characteristic, complemented
14#21436319C211yesmaximal, characteristic, complemented
15#21436303C211yesmaximal, characteristic, complemented
16#21436259C211yesmaximal, characteristic, complemented
17#21436243C211yesmaximal, characteristic, complemented
18#21435937C211yesmaximal, characteristic, complemented
19#21435504C211yesmaximal, characteristic, complemented
20#21435495C211yesmaximal, characteristic, complemented
21#21435388C211yesmaximal, characteristic, complemented
22#21435356C211yesmaximal, characteristic, complemented
23#21435280C211yesmaximal, characteristic, complemented
24#21434372C211yesmaximal, characteristic, complemented
25#21434274C211yesmaximal, characteristic, complemented
26#21434142C211yesmaximal, characteristic, complemented
27#21433944C211yesmaximal, characteristic, complemented
28#21433928C211yesmaximal, characteristic, complemented
29#21433888C211yesmaximal, characteristic, complemented
30#21433243C211yesmaximal, characteristic, complemented
31C59×#3262C211yesmaximal, characteristic, complemented
32#16838154—21no—
33#16838149—21no—
34#16838134C2211yescharacteristic
35#16838131C2211yescharacteristic, complemented
36#16838123C2211yescharacteristic
37#16838119—21no—
38#16838117C2211yescharacteristic, complemented
39#16838113C2211yescharacteristic
40#16838111C2211yescharacteristic, complemented
41#16838104C2211yescharacteristic
42#16838103—21no—
43#16838099C2211yescharacteristic
44#16838099C2211yescharacteristic, complemented
45#16838094C2211yescharacteristic, complemented
46#16838093C2211yescharacteristic, complemented
47#16838089—21no—
48#16838086C2211yescharacteristic
49#16838082—21no—
50#16838077—21no—
51#16838055C2211yescharacteristic
52#16838045—21no—
53#16838045C2211yescharacteristic
54#16838043C2211yescharacteristic
55#16838036C2211yescharacteristic
56#16838030C2211yescharacteristic, complemented
57#16838029C2211yescharacteristic, complemented
58#16838021—21no—
59#16838021C2211yescharacteristic, complemented
60#16838016—21no—
61#16838012—21no—
62#16838003C2211yescharacteristic
63#16838001—21no—
64#16837998—21no—
65#16837988—21no—
66#16837957C2211yescharacteristic, complemented
67#16837939C2211yescharacteristic
68#16837931C2211yescharacteristic, complemented
69#16837930C2211yescharacteristic
70#16837915—21no—
71#123×D59—21no—
72#16837884C2211yescharacteristic
73#16837876C2211yescharacteristic
74C4×D4×D59C2211yescharacteristic
75#16837810C2211yescharacteristic, complemented
76#16837808C2211yescharacteristic, complemented
77#16837803C2211yescharacteristic, complemented
78#16837803C2211yescharacteristic, complemented
79#16837803C2211yescharacteristic, complemented
80#16837798C2211yescharacteristic, complemented
81#16837765C2211yescharacteristic
82#16837761C2211yescharacteristic, complemented
83#16837758C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837756C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic
87#16837742C2211yescharacteristic, complemented
88#16837742C2211yescharacteristic, complemented
89#16837740C2211yescharacteristic, complemented
90#16837740C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837730C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic
95#16837729C2211yescharacteristic
96#16837729C2211yescharacteristic, complemented
97#16837724C2211yescharacteristic, complemented
98#16837723C2211yescharacteristic
99#16837723C2211yescharacteristic, complemented
100#16837719C2211yescharacteristic, complemented
101#16837719C2211yescharacteristic, complemented
102#16837719C2211yescharacteristic, complemented
103#16837718C2211yescharacteristic
104#16837717C2211yescharacteristic, complemented
105#16837711C2211yescharacteristic, complemented
106#16837711C2211yescharacteristic, complemented
107#16837709C2211yescharacteristic, complemented
108#16837707C2211yescharacteristic, complemented
109#16837705C2211yescharacteristic
110#16837705C2211yescharacteristic
111#16837705C2211yescharacteristic
112#16837704C2211yescharacteristic, complemented
113#16837704C2211yescharacteristic, complemented
114#16837704C2211yescharacteristic, complemented
115#16837703C2211yescharacteristic
116#16837703C2211yescharacteristic
117#16837703C2211yescharacteristic, complemented
118#16837703C2211yescharacteristic, complemented
119#16837702C2211yescharacteristic, complemented
120#16837700C2211yescharacteristic, complemented
121#16837695C2211yescharacteristic, complemented
122#16837693C2211yescharacteristic
123#16837693C2211yescharacteristic, complemented
124#16837692C2211yescharacteristic, complemented
125#16837689C2211yescharacteristic, complemented
126#16837687C2211yescharacteristic, complemented
127#16837683C2211yescharacteristic
128#16837683C2211yescharacteristic, complemented
129#16837681C2211yescharacteristic
130#16837679C2211yescharacteristic
131#16837657C2211yescharacteristic, complemented
132#16837654C2211yescharacteristic
133#16837654C2211yescharacteristic, complemented
134#16837651C2211yescharacteristic
135#16837645C2211yescharacteristic, complemented
136#16837645C2211yescharacteristic, complemented
137#16837635C2211yescharacteristic, complemented
138#16837634C2211yescharacteristic, complemented
139#16837626C2211yescharacteristic, complemented
140#16837619C2211yescharacteristic, complemented
141#16837614C2211yescharacteristic
142#16837614C2211yescharacteristic, complemented
143#16837600C2211yescharacteristic
144#16837595C2211yescharacteristic
145#16837563C2211yescharacteristic
146#16837552C2211yescharacteristic
147#16837551C2211yescharacteristic
148#16837546C2211yescharacteristic
149#16837535C2211yescharacteristic
150#16837534C2211yescharacteristic
151#16837531C2211yescharacteristic, complemented
152#16837526C2211yescharacteristic, complemented
153#16837512C2211yescharacteristic
154#16837511C2211yescharacteristic
155#16837509C2211yescharacteristic, complemented
156#16837500C2211yescharacteristic, complemented
157SD16×Dic59C2211yescharacteristic, complemented
158SD16×Dic59C2211yescharacteristic, complemented
159C4×#11745671C2211yescharacteristic
160#16837487C2211yescharacteristic
161#16837487C2211yescharacteristic
162D8×Dic59C2211yescharacteristic, complemented
163C4×#11745669C2211yescharacteristic, complemented
164#16837482C2211yescharacteristic
165#16837479C2211yescharacteristic, complemented
166#16837478C2211yescharacteristic
167#16837478C2211yescharacteristic, complemented
168#16837473C2211yescharacteristic
169#16837472C2211yescharacteristic, complemented
170C8×C22⋊D59C2211yescharacteristic, complemented
171#16837463C2211yescharacteristic, complemented
172#16837462C2211yescharacteristic, complemented
173#16837454C2211yescharacteristic, complemented
174#16837444C2211yescharacteristic, complemented
175#16837443C2211yescharacteristic, complemented
176#16837443C2211yescharacteristic, complemented
177#16837443C2211yescharacteristic, complemented
178#16837440C2211yescharacteristic, complemented
179#107×D59C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837408C2211yescharacteristic
183#16837405C2211yescharacteristic
184#16837405C2211yescharacteristic
185#16837402C2211yescharacteristic
186#16837397C2211yescharacteristic
187C2×#14273649C2211yescharacteristic
188C59×#542C2211yescharacteristic
189C59×#542C2211yescharacteristic, complemented
190C59×#477C2211yescharacteristic, complemented
191C59×#477C2211yescharacteristic, complemented
192C59×#474C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic
195C59×#468C2211yescharacteristic, complemented
196C59×#467C2211yescharacteristic, complemented
197C59×#466C2211yescharacteristic
198C59×#464C2211yescharacteristic, complemented
199C59×#464C2211yescharacteristic, complemented
200C59×#463C2211yescharacteristic, complemented
201C59×#463C2211yescharacteristic, complemented
202C59×#424C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745689C2311yescharacteristic
205C22×D236C2311yescharacteristic
206C2×D4×D59—21no—
207C2×D4×D59C2311yescharacteristic
208C22×C4×D59—21no—
209C2×#11745671C2311yescharacteristic
210C2×#11745671C2311yescharacteristic
211C2×#11745669C2311yescharacteristic
212C2×#11745669C2311yescharacteristic
213C2×#11745659C2311yescharacteristic
214C2×#11745659C2311yescharacteristic
215C2×#11745659C2311yescharacteristic
216C2×C8×D59C2311yescharacteristic
217#14273727—21no—
218#14273727C2311yescharacteristic
219#14273727C2311yescharacteristic
220#14273726—21no—
221#14273726C2311yescharacteristic
222#14273725—21no—
223#14273723C2311yescharacteristic
224#14273722—21no—
225#14273722—21no—
226#14273722—21no—
227#14273722D411yescharacteristic
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#14273720D411yescharacteristic
237#14273719C2311yescharacteristic
238#14273719C2311yescharacteristic
239#14273718—21no—
240#14273718—21no—
241#14273718—21no—
242#14273718—21no—
243#14273718C2311yescharacteristic
244#14273718C2311yescharacteristic
245#14273718C2311yescharacteristic
246#14273718C2311yescharacteristic
247#14273718C2311yescharacteristic
248#14273717—21no—
249#14273717—21no—
250#14273717—21no—
251#14273717D411yescharacteristic
252#14273716C2311yescharacteristic
253#14273713—21no—
254#14273713—21no—
255#14273713—21no—
256#14273713—21no—
257#14273713—21no—
258#14273713D411yescharacteristic
259#14273712—21no—
260#14273712—21no—
261#14273712—21no—
262#14273712—21no—
263#14273712—21no—
264#14273712D411yescharacteristic
265#14273711—21no—
266#14273711—21no—
267#14273711—21no—
268#14273711—21no—
269#14273710—21no—
270#14273709—21no—
271#14273709—21no—
272#14273709—21no—
273#14273709—21no—
274#14273709—21no—
275#14273709D411yescharacteristic
276#14273708—21no—
277#14273708—21no—
278#14273707—21no—
279#14273707—21no—
280#14273706—21no—
281#14273705—21no—
282#14273705D411yescharacteristic
283#14273704—21no—
284#14273704—21no—
285#14273704—21no—
286#14273704—21no—
287#14273704—21no—
288#14273703—21no—
289#14273703—21no—
290#14273703—21no—
291#14273703—21no—
292#14273703—21no—
293#14273703C2311yescharacteristic
294#14273703C2311yescharacteristic
295#14273703C2311yescharacteristic
296#14273702—21no—
297#14273702C2311yescharacteristic
298#14273702C2311yescharacteristic
299#14273701—21no—
300#14273701—21no—
301#14273700—21no—
302#14273700—21no—
303#14273700—21no—
304#14273700D411yescharacteristic
305#14273699—21no—
306#14273698—21no—
307#14273698—21no—
308#14273698C2311yescharacteristic
309#14273698C2311yescharacteristic
310#14273698C2311yescharacteristic
311#14273697—21no—
312#14273697—21no—
313#14273697—21no—
314#14273695—21no—
315Q8×Dic59—21no—
316Q8×Dic59C2311yescharacteristic
317Q8×Dic59C2311yescharacteristic
318Q8×Dic59C2311yescharacteristic
319C4×Dic118—21no—
320C4×Dic118C2311yescharacteristic
321#14273692—21no—
322#14273692—21no—
323C4×D236—21no—
324C4×D236—21no—
325C4×D236C2311yescharacteristic
326C4×D236C2311yescharacteristic
327C4×D236C2311yescharacteristic
328C4×D236C2311yescharacteristic
329C4×D236C2311yescharacteristic
330D4×Dic59—21no—
331D4×Dic59C2311yescharacteristic
332D4×Dic59C2311yescharacteristic
333D4×Dic59C2311yescharacteristic
334#14273689—21no—
335#14273689—21no—
336#14273689—21no—
337#14273689C2311yescharacteristic
338#14273689C2311yescharacteristic
339C4×C22⋊D59—21no—
340C4×C22⋊D59C2311yescharacteristic
341C4×C22⋊D59C2311yescharacteristic
342(C22⋊D59)⋊C4—21no—
343(C22⋊D59)⋊C4—21no—
344(C22⋊D59)⋊C4—21no—
345(C22⋊D59)⋊C4—21no—
346(C22⋊D59)⋊C4—21no—
347#14273686—21no—
348#14273686C2311yescharacteristic
349#14273686C2311yescharacteristic
350#14273685—21no—
351#14273685C2311yescharacteristic
352#14273685C2311yescharacteristic
353#14273685C2311yescharacteristic
354#14273684—21no—
355#14273684—21no—
356#14273684—21no—
357#14273684C2311yescharacteristic
358#14273683—21no—
359#14273683—21no—
360C2×C4⋊Dic59C2311yescharacteristic
361C2×Dic59⋊C4—21no—
362C4⋊C4×D59—21no—
363C4⋊C4×D59—21no—
364C4⋊C4×D59C2311yescharacteristic
365C4⋊C4×D59C2311yescharacteristic
366C4⋊C4×D59C2311yescharacteristic
367C22⋊C4×D59—21no—
368C22⋊C4×D59—21no—
369C22⋊C4×D59—21no—
370C22⋊C4×D59—21no—
371C22⋊C4×D59—21no—
372C42×D59C2311yescharacteristic
373#14273661C2311yescharacteristic
374#14273661C2311yescharacteristic
375#14273661C2311yescharacteristic
376#14273661C2311yescharacteristic
377#14273660C2311yescharacteristic
378#14273660C2311yescharacteristic
379#14273660C2311yescharacteristic
380#14273660C2311yescharacteristic
381#14273659C2311yescharacteristic
382#14273659C2311yescharacteristic
383#14273659C2311yescharacteristic
384#14273659C2311yescharacteristic
385#14273658C2311yescharacteristic
386#14273658C2311yescharacteristic
387#14273658C2311yescharacteristic
388#14273658C2311yescharacteristic
389#14273658C2311yescharacteristic
390#14273658C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393C4⋊(C59⋊C8)C2311yescharacteristic
394C4⋊(C59⋊C8)C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399#14273651C2311yescharacteristic
400#14273651C2311yescharacteristic
401#14273651C2311yescharacteristic
402#14273651C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273649C2311yescharacteristic
406#14273649C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273648C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423C22⋊(C59⋊C8)C2311yescharacteristic
424C22⋊(C59⋊C8)C2311yescharacteristic
425(C2×D59)⋊C8C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429#14273638C2311yescharacteristic
430#14273637C2311yescharacteristic
431C4×C59⋊C8C2311yescharacteristic
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C2×Q16×C59C2311yescharacteristic
436C2×SD16×C59C2311yescharacteristic
437C2×SD16×C59C2311yescharacteristic
438C2×D8×C59C2311yescharacteristic
439C2×M16×C59C2311yescharacteristic
440C22×C8×C59C2311yescharacteristic
441C4⋊Q8×C59C2311yescharacteristic
442C4⋊Q8×C59C2311yescharacteristic
443#126×C59—21no—
444#126×C59—21no—
445#124×C59—21no—
446#124×C59—21no—
447#124×C59C2311yescharacteristic
448#124×C59C2311yescharacteristic
449#123×C59—21no—
450#123×C59—21no—
451C22⋊Q8×C59—21no—
452C22⋊Q8×C59—21no—
453C22⋊Q8×C59C2311yescharacteristic
454C22⋊Q8×C59C2311yescharacteristic
455#121×C59C2311yescharacteristic
456#121×C59C2311yescharacteristic
457C4×Q8×C59C2311yescharacteristic
458C4×Q8×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461#117×C59C2311yescharacteristic
462#107×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466C4⋊C8×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469C4⋊C8×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C23×D59—21no—
479C23×D59—21no—
480C2×Q8×C59—21no—
481C2×Q8×C59—21no—
482C2×Q8×C59C2411yescharacteristic
483C2×Q8×C59C2411yescharacteristic
484C2×D4×C59—21no—
485C2×D4×C59—21no—
486C2×D4×C59C2411yescharacteristic
487C2×D4×C59C2411yescharacteristic
488C22×C4×C59—21no—
489C22×C4×C59—21no—
490C22×C4×C59C2411yescharacteristic
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—
501C22×Dic59—21no—
502C22×Dic59—21no—
503#11745689—22no—
504#11745689—41no—
505#11745689—82no—
506D4×D59—22no—
507D4×D59—41no—
508D4×D59—82no—
509C2×D236—22no—
510C2×D236—21no—
511C2×D236—21no—
512C2×D236—21no—
513C2×D236—21no—
514C2×D236—41no—
515C2×D236C2×D411yescharacteristic
516C2×D236C2411yescharacteristic
517C2×D236C2411yescharacteristic
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—21no—
527C2×C4×D59—21no—
528C2×C4×D59—82no—
529C2×C4×D59C2×D411yescharacteristic
530C2×C4×D59C2×D411yescharacteristic
531C2×C4×D59C2411yescharacteristic
532C2×C4×D59C2411yescharacteristic
533C2×Dic118—21no—
534C2×Dic118—21no—
535C2×Dic118—21no—
536C2×Dic118C2×D411yescharacteristic
537Q16×C59—41no—
538SD16×C59—41no—
539SD16×C59—41no—
540D8×C59—41no—
541M16×C59—41no—
542C2×C8×C59—41no—
543C2×C8×C59C2411yescharacteristic
544C2×C8×C59C2411yescharacteristic
545C2×C8×C59C2411yescharacteristic
546C2×C8×C59C2411yescharacteristic
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×C59C2×D411yescharacteristic
555C4⋊C4×C59C2411yescharacteristic
556C4⋊C4×C59C2411yescharacteristic
557C4⋊C4×C59C2411yescharacteristic
558C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
566C22⋊C4×C59—21no—
567C22⋊C4×C59—21no—
568C22⋊C4×C59—21no—
569C22⋊C4×C59C2×D411yescharacteristic
570C22⋊C4×C59C2×D411yescharacteristic
571C42×C59—21no—
572C42×C59—21no—
573C42×C59C2411yescharacteristic
574C42×C59C2411yescharacteristic
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
585#11745671—22no—
586#11745671—41no—
587#11745669—22no—
588#11745669—41no—
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)⋊C4C2×D411yescharacteristic
606(C2×D59)⋊C4C2×D411yescharacteristic
607(C2×D59)⋊C4C2×D411yescharacteristic
608(C2×D59)⋊C4C2×D411yescharacteristic
609(C2×D59)⋊C4C2×D411yescharacteristic
610(C2×D59)⋊C4C2×D411yescharacteristic
611C4⋊Dic59—21no—
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⋊Dic59—21no—
621C4⋊Dic59—21no—
622C4⋊Dic59C2×D411yescharacteristic
623C4⋊Dic59C2×D411yescharacteristic
624C4⋊Dic59C2411yescharacteristic
625C4⋊Dic59C2411yescharacteristic
626C4⋊Dic59C2411yescharacteristic
627C4⋊Dic59C2411yescharacteristic
628C4⋊Dic59C2411yescharacteristic
629C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
646Dic59⋊C4C2×D411yescharacteristic
647Dic59⋊C4C2×D411yescharacteristic
648Dic59⋊C4C2×D411yescharacteristic
649Dic59⋊C4C2×D411yescharacteristic
650Dic59⋊C4C2×D411yescharacteristic
651Dic59⋊C4C2×D411yescharacteristic
652C4×Dic59—21no—
653C4×Dic59—21no—
654C4×Dic59—21no—
655C4×Dic59—21no—
656C4×Dic59—21no—
657C4×Dic59—21no—
658C4×Dic59—21no—
659C4×Dic59—21no—
660C4×Dic59C2×D411yescharacteristic
661C4×Dic59C2×D411yescharacteristic
662C4×Dic59C2411yescharacteristic
663C4×Dic59C2411yescharacteristic
664C2×C59⋊C8C2411yescharacteristic
665C2×C59⋊C8C2411yescharacteristic
666C2×C59⋊C8C2411yescharacteristic
667C2×C59⋊C8C2411yescharacteristic
668#11745659—41no—
669#11745659—41no—
670#11745659—41no—
671C8×D59—41no—
672C23×C59—21no—
673C23×C59—21no—
674C23×C59C22×D411yescharacteristic
675C22×D59—21no—
676C22×D59—21no—
677C22×D59—42no—
678C22×D59—42no—
679C22×D59—42no—
680C22×D59—81no—
681C22×D59—81no—
682C22×D59—81no—
683C22×D59C22×D411yescharacteristic
684C22×D59C22×D411yescharacteristic
685Q8×C59—21no—
686Q8×C59—21no—
687Q8×C59—21no—
688Q8×C59—21no—
689Q8×C59—81no—
690Q8×C59—81no—
691D4×C59—21no—
692D4×C59—21no—
693D4×C59—21no—
694D4×C59—21no—
695D4×C59—81no—
696D4×C59—81no—
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—21no—
705C2×C4×C59—81no—
706C2×C4×C59—81no—
707C2×C4×C59C22×D411yescharacteristic
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—81no—
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
737D236—21no—
738D236—21no—
739D236—21no—
740D236—41no—
741D236—42no—
742D236—42no—
743D236—42no—
744D236—81no—
745D2362−1+412yes—
746C4×D59—21no—
747C4×D59—21no—
748C4×D59—21no—
749C4×D59—21no—
750C4×D59—41no—
751C4×D59—41no—
752C4×D59—42no—
753C4×D59—42no—
754C4×D59—81no—
755C4×D59—81no—
756C4×D59—81no—
757C4×D59—81no—
758C4×D59—81no—
759C4×D59—81no—
760C4×D59—81no—
761C4×D59—81no—
762Dic118—41no—
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—41no—
779C22×C59—41no—
780C22×C59—41no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59C23×D411yescharacteristic
785C2×D59—21no—
786C2×D59—21no—
787C2×D59—21no—
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—21no—
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—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#3322—591no—
839#3319—591no—
840#3318—591no—
841#3296—591no—
842#3262D5911yescharacteristic, complemented
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—81no—
857C2×C59—81no—
858C2×C59#348911yescharacteristic
859C2×C59#358411yescharacteristic
860C2×C59#358511yescharacteristic
861D59—41no—
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—591no—
876#553—591no—
877#553—1181no—
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—1181no—
893#542—1181no—
894#542C2×D5911yescharacteristic
895#542C2×D5911yescharacteristic, complemented
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#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#482—591no—
934#482—591no—
935#481—591no—
936#481—591no—
937#481—591no—
938#481—591no—
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#478—591no—
955#478—591no—
956#477—591no—
957#477C2×D5911yescharacteristic, complemented
958#477C2×D5911yescharacteristic, complemented
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#474C2×D5911yescharacteristic, complemented
969#474C2×D5911yescharacteristic, complemented
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#467C2×D5911yescharacteristic, complemented
979#466—591no—
980#466C2×D5911yescharacteristic
981#465—591no—
982#464—591no—
983#464C2×D5911yescharacteristic, complemented
984#464C2×D5911yescharacteristic, complemented
985#463—591no—
986#463—591no—
987#463—591no—
988#463C2×D5911yescharacteristic, complemented
989#463C2×D5911yescharacteristic, complemented
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×D8—591no—
1012#436—591no—
1013#436—591no—
1014#436—591no—
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#424C2×D5911yescharacteristic, complemented
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×Q16C22×D5911yescharacteristic
1044C2×SD16—591no—
1045C2×SD16—591no—
1046C2×SD16C22×D5911yescharacteristic
1047C2×SD16C22×D5911yescharacteristic
1048C2×D8—591no—
1049C2×D8—591no—
1050C2×D8C22×D5911yescharacteristic
1051C2×M16—591no—
1052C2×M16—591no—
1053C2×M16—591no—
1054C2×M16C22×D5911yescharacteristic
1055C22×C8—591no—
1056C22×C8C22×D5911yescharacteristic
1057C4⋊Q8—591no—
1058C4⋊Q8—591no—
1059C4⋊Q8—591no—
1060C4⋊Q8—1181no—
1061C4⋊Q8—1181no—
1062C4⋊Q8—1181no—
1063C4⋊Q8C22×D5911yescharacteristic
1064C4⋊Q8C22×D5911yescharacteristic
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—591no—
1088#125—591no—
1089#125—1181no—
1090#125—1181no—
1091#125—1181no—
1092#125—1181no—
1093#125—1181no—
1094#125—1181no—
1095#125—1181no—
1096#124—21no—
1097#124—21no—
1098#124—591no—
1099#124—591no—
1100#124—1181no—
1101#124—1181no—
1102#124—1181no—
1103#124—1181no—
1104#124—1181no—
1105#124C22×D5911yescharacteristic
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—21no—
1129C22⋊Q8—21no—
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⋊Q8C22×D5911yescharacteristic
1149C22⋊Q8C22×D5911yescharacteristic
1150#121—591no—
1151#121—591no—
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#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—1181no—
1176C4×Q8—1181no—
1177C4×Q8—1181no—
1178C4×Q8—1181no—
1179C4×Q8C22×D5911yescharacteristic
1180C4×Q8C22×D5911yescharacteristic
1181C4×D4—591no—
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×D4—1181no—
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—591no—
1225C2×C4⋊C4—1181no—
1226C2×C4⋊C4—1181no—
1227C2×C4⋊C4—1181no—
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#106—591no—
1254#106—591no—
1255#106—591no—
1256#106—591no—
1257#106—591no—
1258C4⋊C8—591no—
1259C4⋊C8—591no—
1260C4⋊C8—591no—
1261C4⋊C8—591no—
1262C4⋊C8—591no—
1263C4⋊C8—591no—
1264C4⋊C8C22×D5911yescharacteristic
1265C4⋊C8C22×D5911yescharacteristic
1266C4⋊C8C22×D5911yescharacteristic
1267C4⋊C8C22×D5911yescharacteristic
1268#103—591no—
1269#103—591no—
1270#103—591no—
1271#103—591no—
1272#103—591no—
1273#103—591no—
1274#103C22×D5911yescharacteristic
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#102C22×D5911yescharacteristic
1297#102C22×D5911yescharacteristic
1298#102C22×D5911yescharacteristic
1299#102C22×D5911yescharacteristic
1300C22⋊C8—591no—
1301C22⋊C8—591no—
1302C22⋊C8—591no—
1303C22⋊C8—591no—
1304C22⋊C8—591no—
1305C22⋊C8—591no—
1306#97—591no—
1307#97—591no—
1308C4×C8—591no—
1309C4×C8—591no—
1310C4×C8—591no—
1311C4×C8—591no—
1312C24—1181no—
1313C24—1181no—
1314#41—1182no—
1315#41—4722no—
1316#41—2361no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—591no—
1320C2×Q8—1181no—
1321C2×Q8—1181no—
1322C2×Q8—1181no—
1323C2×Q8C23×D5911yescharacteristic
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—1181no—
1339C2×D4—1182no—
1340C2×D4—1181no—
1341C2×D4—1181no—
1342C2×D4—1181no—
1343C2×D4—1181no—
1344C2×D4—4722no—
1345C2×D4—2361no—
1346C2×D4—2361no—
1347C2×D4C23×D5911yescharacteristic
1348C2×D4C23×D5911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—591no—
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—1181no—
1369C22×C4—4722no—
1370C22×C4C23×D5911yescharacteristic
1371Q16—41no—
1372SD16—41no—
1373SD16—41no—
1374SD16—1182no—
1375SD16—2361no—
1376D8—41no—
1377D8—1182no—
1378D8—2361no—
1379M16—41no—
1380M16—2361no—
1381M16—2361no—
1382M16—2361no—
1383C2×C8—41no—
1384C2×C8—591no—
1385C2×C8—591no—
1386C2×C8—591no—
1387C2×C8—591no—
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—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—591no—
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⋊C4D4×D5911yescharacteristic
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—21no—
1456C22⋊C4—591no—
1457C22⋊C4—591no—
1458C22⋊C4—591no—
1459C22⋊C4—591no—
1460C22⋊C4—591no—
1461C22⋊C4—591no—
1462C22⋊C4—591no—
1463C22⋊C4—591no—
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—1181no—
1497C42—1181no—
1498C42—1181no—
1499C42—1181no—
1500C42—1181no—
1501C42—1181no—
1502C42—1181no—
1503C42—1181no—
1504C42C23×D5911yescharacteristic
1505C42C23×D5911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—591no—
1509C23—591no—
1510C23—1181no—
1511C23—1181no—
1512C23—4721no—
1513C23—4721no—
1514C23—4721no—
1515C23—2362no—
1516C23—2362no—
1517C23—2362no—
1518C23C2×D4×D5911yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—81no—
1524Q8—81no—
1525Q8—4721no—
1526Q8—4721no—
1527Q8—4721no—
1528Q8—2361no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—81no—
1534D4—81no—
1535D4—592no—
1536D4—1181no—
1537D4—1181no—
1538D4—1181no—
1539D4—4721no—
1540D4—4721no—
1541D4—4721no—
1542D4—4721no—
1543D4—4721no—
1544D4—4721no—
1545D4—2361no—
1546D4—2362no—
1547D4—2362no—
1548D4—2362no—
1549D4—2361no—
1550D4—2361no—
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—81no—
1561C2×C4—81no—
1562C2×C4—591no—
1563C2×C4—591no—
1564C2×C4—591no—
1565C2×C4—591no—
1566C2×C4—591no—
1567C2×C4—591no—
1568C2×C4—1181no—
1569C2×C4—1181no—
1570C2×C4—1181no—
1571C2×C4—1181no—
1572C2×C4—1181no—
1573C2×C4—1181no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—1181no—
1578C2×C4—4721no—
1579C2×C4—4721no—
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—2361no—
1591C2×C4—2361no—
1592C2×C4—2362no—
1593C2×C4—2362no—
1594C2×C4C2×D4×D5911yescharacteristic
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—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—1181no—
1618C22—1181no—
1619C22—1182no—
1620C22—1181no—
1621C22—1181no—
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—21no—
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—2361no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C42−1+4×D5911yescharacteristic
1656C4#1683823711yescharacteristic
1657C2—41no—
1658C2—81no—
1659C2—81no—
1660C2—4721no—
1661C2—2361no—
1662C2—2361no—
1663C2—2362no—
1664C2#2143777111yescharacteristic
1665C2#2143886611yescharacteristic
1666C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3262C2
socleC22×C59C23×D4
hypercenter#3262D59
hypocenterC59#62175
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3262

Complements

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

NH ≅ G/Ntype
1. #21438743C2semidirect
2. #21438042C2semidirect
3. #21437049C2semidirect
4. #21436970C2semidirect
5. #21436861C2semidirect
6. #21436751C2semidirect
7. #21436694C2semidirect
8. #21436662C2semidirect
9. #21436651C2semidirect
10. #21436632C2semidirect
11. #21436533C2semidirect
12. #21436493C2semidirect
13. #21436322C2semidirect
14. #21436319C2semidirect
15. #21436303C2semidirect
16. #21436259C2semidirect
17. #21436243C2semidirect
18. #21435937C2semidirect
19. #21435504C2semidirect
20. #21435495C2semidirect
21. #21435388C2semidirect
22. #21435356C2semidirect
23. #21435280C2semidirect
24. #21434372C2semidirect
25. #21434274C2semidirect
26. #21434142C2semidirect
27. #21433944C2semidirect
28. #21433928C2semidirect
29. #21433888C2semidirect
30. #21433243C2semidirect
31. C59×#3262C2semidirect
35. #16838131C22semidirect
38. #16838117C22semidirect
40. #16838111C22semidirect
44. #16838099C22semidirect
45. #16838094C22semidirect
46. #16838093C22semidirect
56. #16838030C22semidirect
57. #16838029C22semidirect
59. #16838021C22semidirect
66. #16837957C22semidirect
68. #16837931C22semidirect
75. #16837810C22semidirect
76. #16837808C22semidirect
77. #16837803C22semidirect
78. #16837803C22semidirect
79. #16837803C22semidirect
80. #16837798C22semidirect
82. #16837761C22semidirect
83. #16837758C22semidirect
84. #16837758C22semidirect
85. #16837756C22semidirect
87. #16837742C22semidirect
88. #16837742C22semidirect
89. #16837740C22semidirect
90. #16837740C22semidirect
91. #16837736C22semidirect
92. #16837731C22semidirect
93. #16837730C22semidirect
96. #16837729C22semidirect
97. #16837724C22semidirect
99. #16837723C22semidirect
100. #16837719C22semidirect
101. #16837719C22semidirect
102. #16837719C22semidirect
104. #16837717C22semidirect
105. #16837711C22semidirect
106. #16837711C22semidirect
107. #16837709C22semidirect
108. #16837707C22semidirect
112. #16837704C22semidirect
113. #16837704C22semidirect
114. #16837704C22semidirect
117. #16837703C22semidirect
118. #16837703C22semidirect
119. #16837702C22semidirect
120. #16837700C22semidirect
121. #16837695C22semidirect
123. #16837693C22semidirect
124. #16837692C22semidirect
125. #16837689C22semidirect
126. #16837687C22semidirect
128. #16837683C22semidirect
131. #16837657C22semidirect
133. #16837654C22semidirect
135. #16837645C22semidirect
136. #16837645C22semidirect
137. #16837635C22semidirect
138. #16837634C22semidirect
139. #16837626C22semidirect
140. #16837619C22semidirect
142. #16837614C22semidirect
151. #16837531C22semidirect
152. #16837526C22semidirect
155. #16837509C22semidirect
156. #16837500C22semidirect
157. SD16×Dic59C22semidirect
158. SD16×Dic59C22semidirect
162. D8×Dic59C22semidirect
163. C4×#11745669C22semidirect
165. #16837479C22semidirect
167. #16837478C22semidirect
169. #16837472C22semidirect
170. C8×C22⋊D59C22semidirect
171. #16837463C22semidirect
172. #16837462C22semidirect
173. #16837454C22semidirect
174. #16837444C22semidirect
175. #16837443C22semidirect
176. #16837443C22semidirect
177. #16837443C22semidirect
178. #16837440C22semidirect
179. #107×D59C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
189. C59×#542C22semidirect
190. C59×#477C22semidirect
191. C59×#477C22semidirect
192. C59×#474C22semidirect
193. C59×#474C22semidirect
195. C59×#468C22semidirect
196. C59×#467C22semidirect
198. C59×#464C22semidirect
199. C59×#464C22semidirect
200. C59×#463C22semidirect
201. C59×#463C22semidirect
202. C59×#424C22semidirect
842. #3262D59semidirect
895. #542C2×D59semidirect
957. #477C2×D59semidirect
958. #477C2×D59semidirect
968. #474C2×D59semidirect
969. #474C2×D59semidirect
977. #468C2×D59semidirect
978. #467C2×D59semidirect
983. #464C2×D59semidirect
984. #464C2×D59semidirect
988. #463C2×D59semidirect
989. #463C2×D59semidirect
1028. #424C2×D59semidirect
1036. C59#62175semidirect

Maximal subgroups

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

subgroupindex
#214387432
#214380422
#214370492
#214369702
#214368612
#214367512
#214366942
#214366622
#214366512
#214366322
#214365332
#214364932
#214363222
#214363192
#214363032
#214362592
#214362432
#214359372
#214355042
#214354952
#214353882
#214353562
#214352802
#214343722
#214342742
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