Finite Group Databasebeta

← #29471138

Subgroups — #29471138

Order 15104.

1834 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438104C211yesmaximal, characteristic, complemented
2#21438053C211yesmaximal, characteristic, complemented
3#21437095C211yesmaximal, characteristic, complemented
4#21436955C211yesmaximal, characteristic, complemented
5#21436911C211yesmaximal, characteristic, complemented
6#21436811C211yesmaximal, characteristic, complemented
7#21436509C211yesmaximal, characteristic, complemented
8#21436507C211yesmaximal, characteristic, complemented
9#21436502C211yesmaximal, characteristic, complemented
10#21436375C211yesmaximal, characteristic, complemented
11#21436333C211yesmaximal, characteristic, complemented
12#21436278C211yesmaximal, characteristic, complemented
13#21436138C211yesmaximal, characteristic, complemented
14#21436134C211yesmaximal, characteristic, complemented
15#21435806C211yesmaximal, characteristic, complemented
16#21435804C211yesmaximal, characteristic, complemented
17#21435785C211yesmaximal, characteristic, complemented
18#21434712C211yesmaximal, characteristic, complemented
19#21434708C211yesmaximal, characteristic, complemented
20#21434650C211yesmaximal, characteristic, complemented
21#21434332C211yesmaximal, characteristic, complemented
22#21434318C211yesmaximal, characteristic, complemented
23#21434279C211yesmaximal, characteristic, complemented
24#21434275C211yesmaximal, characteristic, complemented
25#21434253C211yesmaximal, characteristic, complemented
26#21434240C211yesmaximal, characteristic, complemented
27#21433066C211yesmaximal, characteristic, complemented
28#21432952C211yesmaximal, characteristic, complemented
29#21432951C211yesmaximal, characteristic, complemented
30#21432864C211yesmaximal, characteristic, complemented
31C59×#3321C211yesmaximal, characteristic, complemented
32C2×#14273747C2211yescharacteristic
33C22×#11745671C2211yescharacteristic
34C2×SD16×D59C2211yescharacteristic
35#16838135C2211yescharacteristic
36Q8×Dic118C2211yescharacteristic, complemented
37#16838123—21no—
38#16838123C2211yescharacteristic, complemented
39#16838122—21no—
40#16838122C2211yescharacteristic, complemented
41#16838121—21no—
42#16838121C2211yescharacteristic, complemented
43#16838120C2211yescharacteristic
44#16838116—21no—
45#16838116C2211yescharacteristic
46#16838115C2211yescharacteristic
47#16838082—21no—
48#16838076—21no—
49#16838067C2211yescharacteristic
50Q8×C22⋊D59C2211yescharacteristic
51#16838060—21no—
52#16838059C2211yescharacteristic, complemented
53#16838049C2211yescharacteristic
54#16838048C2211yescharacteristic
55#16838041—21no—
56#16838036C2211yescharacteristic
57#16838026C2211yescharacteristic
58#16838021—21no—
59#16838021C2211yescharacteristic, complemented
60#16838019—21no—
61#16838019C2211yescharacteristic
62#16838019C2211yescharacteristic, complemented
63#16837986—21no—
64#16837984—21no—
65#16837954—21no—
66#16837954C2211yescharacteristic, complemented
67#16837947C2211yescharacteristic
68#16837932—21no—
69#16837932C2211yescharacteristic
70#16837930—21no—
71#124×D59—21no—
72#16837880C2211yescharacteristic, complemented
73#16837878C2211yescharacteristic, complemented
74#16837876C2211yescharacteristic
75#16837874C2211yescharacteristic
76#41×Dic59C2211yescharacteristic, complemented
77#16837870C2211yescharacteristic
78#16837799C2211yescharacteristic, complemented
79#16837799C2211yescharacteristic, complemented
80#16837798C2211yescharacteristic, complemented
81#16837785C2211yescharacteristic, complemented
82#16837784C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic
84#16837762C2211yescharacteristic, complemented
85#16837760C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic
89#16837746C2211yescharacteristic, complemented
90#16837744C2211yescharacteristic, complemented
91#16837743C2211yescharacteristic, complemented
92#16837743C2211yescharacteristic, complemented
93#16837741C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic
95#16837727C2211yescharacteristic, complemented
96#16837725C2211yescharacteristic, complemented
97#16837723C2211yescharacteristic
98#16837723C2211yescharacteristic, complemented
99#16837696C2211yescharacteristic, complemented
100#16837695C2211yescharacteristic, complemented
101#16837694C2211yescharacteristic, complemented
102#16837693C2211yescharacteristic
103#16837691C2211yescharacteristic
104#16837691C2211yescharacteristic
105#16837685C2211yescharacteristic, complemented
106#16837685C2211yescharacteristic, complemented
107#16837682C2211yescharacteristic, complemented
108#16837681C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837660C2211yescharacteristic, complemented
111#16837659C2211yescharacteristic, complemented
112#16837654C2211yescharacteristic
113#16837634C2211yescharacteristic
114#16837633C2211yescharacteristic, complemented
115#16837631C2211yescharacteristic, complemented
116#16837630C2211yescharacteristic, complemented
117#16837629C2211yescharacteristic
118#16837629C2211yescharacteristic, complemented
119#16837629C2211yescharacteristic, complemented
120#16837625C2211yescharacteristic, complemented
121#16837624C2211yescharacteristic, complemented
122#16837622C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic
125#16837616C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic
127#16837611C2211yescharacteristic, complemented
128#16837606C2211yescharacteristic
129#16837600C2211yescharacteristic
130#16837595C2211yescharacteristic
131#16837566C2211yescharacteristic
132#16837562C2211yescharacteristic
133#16837559C2211yescharacteristic, complemented
134#16837558C2211yescharacteristic, complemented
135#16837555C2211yescharacteristic
136#16837551C2211yescharacteristic
137#16837547C2211yescharacteristic, complemented
138#16837542C2211yescharacteristic
139#16837535C2211yescharacteristic
140#16837534C2211yescharacteristic
141#16837530C2211yescharacteristic, complemented
142#16837526C2211yescharacteristic, complemented
143#16837514C2211yescharacteristic, complemented
144#16837511C2211yescharacteristic, complemented
145#16837508C2211yescharacteristic, complemented
146#16837506C2211yescharacteristic, complemented
147#16837505C2211yescharacteristic
148#16837505C2211yescharacteristic
149#16837505C2211yescharacteristic, complemented
150#16837505C2211yescharacteristic, complemented
151#16837504C2211yescharacteristic
152#16837503C2211yescharacteristic, complemented
153#16837501C2211yescharacteristic
154#16837494C2211yescharacteristic, complemented
155#16837494C2211yescharacteristic, complemented
156#16837493C2211yescharacteristic, complemented
157#16837493C2211yescharacteristic, complemented
158#16837493C2211yescharacteristic, complemented
159SD16×Dic59C2211yescharacteristic, complemented
160C4×#11745671C2211yescharacteristic
161#16837489C2211yescharacteristic, complemented
162C4×#11745670C2211yescharacteristic, complemented
163#16837487C2211yescharacteristic
164#16837487C2211yescharacteristic
165#16837487C2211yescharacteristic
166#16837487C2211yescharacteristic, complemented
167#16837487C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic
169#16837482C2211yescharacteristic
170#16837478C2211yescharacteristic
171#16837473C2211yescharacteristic, complemented
172D4×C59⋊C8C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic
174(C22⋊D59)⋊C8C2211yescharacteristic, complemented
175#16837462C2211yescharacteristic, complemented
176#16837460C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837439C2211yescharacteristic, complemented
179#16837438C2211yescharacteristic, complemented
180#16837438C2211yescharacteristic, complemented
181#16837409C2211yescharacteristic, complemented
182#16837408C2211yescharacteristic
183#16837405C2211yescharacteristic
184#16837399C2211yescharacteristic
185#16837360C2211yescharacteristic, complemented
186#16837359C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C59×#555C2211yescharacteristic
189C59×#548C2211yescharacteristic, complemented
190C59×#489C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#475C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic
195C59×#465C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#448C2211yescharacteristic
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#419C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C2×Q8×D59—21no—
206C2×Q8×D59C2311yescharacteristic
207C22×D236C2311yescharacteristic
208C2×D4×D59—21no—
209C2×D4×D59C2311yescharacteristic
210#14273747—24no—
211C2×Dic236C2311yescharacteristic
212C2×#11745672C2311yescharacteristic
213C2×#11745672C2311yescharacteristic
214C2×#11745660C2311yescharacteristic
215C2×#11745660C2311yescharacteristic
216C2×#11745670C2311yescharacteristic
217C2×#11745670C2311yescharacteristic
218C2×#11745671—24no—
219C2×#11745671C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223SD16×D59—24no—
224C2×#11745669C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745659C2311yescharacteristic
227C22×C59⋊C8C2311yescharacteristic
228C22×C59⋊C8C2311yescharacteristic
229C2×C8×D59C2311yescharacteristic
230#14273727—21no—
231#14273727C2311yescharacteristic
232#14273726—21no—
233#14273726—21no—
234#14273726C2311yescharacteristic
235#14273726C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273725—21no—
239#14273725C2311yescharacteristic
240#14273723C2311yescharacteristic
241#14273722—21no—
242#14273722—21no—
243#14273722D411yescharacteristic
244#14273721—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273720—21no—
249#14273720—21no—
250#14273720—21no—
251#14273720—21no—
252#14273720—21no—
253#14273720—21no—
254#14273720D411yescharacteristic
255#14273717—21no—
256#14273717D411yescharacteristic
257#14273716—21no—
258#14273715—21no—
259#14273715C2311yescharacteristic
260#14273714—21no—
261#14273714—21no—
262#14273714—21no—
263#14273714—21no—
264#14273714—21no—
265#14273714C2311yescharacteristic
266#14273714C2311yescharacteristic
267#14273713—21no—
268#14273713—21no—
269#14273713—21no—
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713D411yescharacteristic
275#14273712—21no—
276#14273712—21no—
277#14273711—21no—
278#14273711D411yescharacteristic
279#14273710—21no—
280#14273709—21no—
281#14273709—21no—
282#14273708—21no—
283#14273708—21no—
284#14273708D411yescharacteristic
285#14273707C2311yescharacteristic
286#14273706—21no—
287#14273706—21no—
288#14273706C2311yescharacteristic
289#14273706C2311yescharacteristic
290#14273706C2311yescharacteristic
291#14273705—21no—
292#14273705—21no—
293#14273704—21no—
294#14273704—21no—
295#14273704—21no—
296#14273704—21no—
297#14273704—21no—
298#14273704D411yescharacteristic
299#14273703—21no—
300#14273703—21no—
301#14273703—21no—
302#14273703C2311yescharacteristic
303#14273702C2311yescharacteristic
304#14273701C2311yescharacteristic
305#14273700—21no—
306#14273700—21no—
307#14273700—21no—
308#14273699—21no—
309#14273699—21no—
310#14273699D411yescharacteristic
311#14273698—21no—
312#14273698—21no—
313#14273698C2311yescharacteristic
314#14273697—21no—
315#14273695—21no—
316#14273695—21no—
317#14273695—21no—
318Q8×Dic59—21no—
319Q8×Dic59—21no—
320Q8×Dic59C2311yescharacteristic
321Q8×Dic59C2311yescharacteristic
322Q8×Dic59C2311yescharacteristic
323Q8×Dic59C2311yescharacteristic
324Q8×Dic59C2311yescharacteristic
325C4×Dic118—21no—
326C4×Dic118—21no—
327C4×Dic118—21no—
328C4×Dic118C2311yescharacteristic
329C4×Dic118C2311yescharacteristic
330#14273692—21no—
331#14273692—21no—
332#14273692—21no—
333#14273692—21no—
334#14273692C2311yescharacteristic
335#14273692C2311yescharacteristic
336#14273692C2311yescharacteristic
337C4×D236—21no—
338C4×D236—21no—
339C4×D236C2311yescharacteristic
340D4×Dic59—21no—
341D4×Dic59—21no—
342D4×Dic59C2311yescharacteristic
343D4×Dic59C2311yescharacteristic
344D4×Dic59C2311yescharacteristic
345#14273689C2311yescharacteristic
346#14273689C2311yescharacteristic
347#14273689C2311yescharacteristic
348#14273689C2311yescharacteristic
349#14273689C2311yescharacteristic
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59C2311yescharacteristic
355C4×C22⋊D59C2311yescharacteristic
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360#14273686—21no—
361#14273686—21no—
362#14273686—21no—
363#14273686C2311yescharacteristic
364#14273686C2311yescharacteristic
365#14273686C2311yescharacteristic
366#14273685—21no—
367#14273685C2311yescharacteristic
368#14273685C2311yescharacteristic
369#14273684—21no—
370#14273684—21no—
371#14273684—21no—
372#14273684C2311yescharacteristic
373#14273683—21no—
374#14273683—21no—
375#14273683—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C2×C4×Dic59—21no—
383C2×C4×Dic59C2311yescharacteristic
384C42×D59—21no—
385#14273661C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429#14273637C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432C4×C59⋊C8C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×#41×C59C2311yescharacteristic
439C22×Q8×C59C2311yescharacteristic
440C2×SD16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C2×M16×C59C2311yescharacteristic
444C22×C8×C59C2311yescharacteristic
445C4⋊Q8×C59C2311yescharacteristic
446#124×C59—21no—
447#124×C59—21no—
448#124×C59—21no—
449#124×C59C2311yescharacteristic
450C22⋊Q8×C59—21no—
451C22⋊Q8×C59C2311yescharacteristic
452#121×C59—21no—
453#121×C59—21no—
454#121×C59C2311yescharacteristic
455#121×C59C2311yescharacteristic
456#121×C59C2311yescharacteristic
457C4×Q8×C59C2311yescharacteristic
458C4×D4×C59—21no—
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461#117×C59—21no—
462#117×C59C2311yescharacteristic
463#117×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468#103×C59C2311yescharacteristic
469#103×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
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483#41×C59—22no—
484#41×C59—41no—
485C2×Q8×C59—21no—
486C2×Q8×C59—21no—
487C2×Q8×C59—22no—
488C2×Q8×C59—41no—
489C2×Q8×C59C2411yescharacteristic
490C2×Q8×C59C2411yescharacteristic
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59C2×D411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59C2411yescharacteristic
502C22×C4×C59C2411yescharacteristic
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59C2×D411yescharacteristic
510C2×C22⋊D59C2×D411yescharacteristic
511C22×Dic59—21no—
512C22×Dic59—21no—
513C22×Dic59—21no—
514C22×Dic59C2×D411yescharacteristic
515C22×Dic59C2×D411yescharacteristic
516Q8×D59—22no—
517Q8×D59—41no—
518Q8×D59—82no—
519#11745687—82no—
520D4×D59—22no—
521D4×D59—41no—
522D4×D59—82no—
523#11745685—22no—
524#11745685—41no—
525C2×D236—22no—
526C2×D236—21no—
527C2×D236—21no—
528C2×D236—41no—
529C2×D236C2411yescharacteristic
530C2×D236C2411yescharacteristic
531C2×C4×D59—21no—
532C2×C4×D59—21no—
533C2×C4×D59—21no—
534C2×C4×D59—21no—
535C2×C4×D59—21no—
536C2×C4×D59—21no—
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59C2411yescharacteristic
540C2×Dic118—21no—
541C2×Dic118—21no—
542C2×Dic118—21no—
543C2×Dic118—21no—
544C2×Dic118—21no—
545C2×Dic118—21no—
546C2×Dic118C2×D411yescharacteristic
547C2×Dic118C2411yescharacteristic
548C2×Dic118C2411yescharacteristic
549SD16×C59—22no—
550SD16×C59—41no—
551D8×C59—41no—
552M16×C59—41no—
553C2×C8×C59—41no—
554C2×C8×C59C2411yescharacteristic
555C2×C8×C59C2411yescharacteristic
556C2×C8×C59C2411yescharacteristic
557C2×C8×C59C2411yescharacteristic
558C4⋊C4×C59—21no—
559C4⋊C4×C59—21no—
560C4⋊C4×C59—21no—
561C4⋊C4×C59C2×D411yescharacteristic
562C4⋊C4×C59C2411yescharacteristic
563C4⋊C4×C59C2411yescharacteristic
564C4⋊C4×C59C2411yescharacteristic
565C4⋊C4×C59C2411yescharacteristic
566C22⋊C4×C59—21no—
567C22⋊C4×C59—21no—
568C22⋊C4×C59—21no—
569C22⋊C4×C59—21no—
570C22⋊C4×C59—21no—
571C22⋊C4×C59—21no—
572C22⋊C4×C59—21no—
573C22⋊C4×C59—21no—
574C22⋊C4×C59—21no—
575C22⋊C4×C59C2×D411yescharacteristic
576C22⋊C4×C59C2×D411yescharacteristic
577C42×C59—21no—
578C42×C59—21no—
579C42×C59—21no—
580C42×C59C2411yescharacteristic
581C22⋊Dic59—21no—
582C22⋊Dic59—21no—
583C22⋊Dic59—21no—
584C22⋊Dic59—21no—
585C22⋊Dic59—21no—
586C22⋊Dic59—21no—
587C22⋊Dic59—21no—
588C22⋊Dic59—21no—
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59C2×D411yescharacteristic
595C22⋊Dic59C2×D411yescharacteristic
596C22⋊Dic59C2×D411yescharacteristic
597C22⋊Dic59C2×D411yescharacteristic
598#11745672—22no—
599#11745672—41no—
600#11745671—22no—
601#11745671—22no—
602#11745671—22no—
603#11745671#4114yescomplemented
604#11745670—22no—
605#11745670—22no—
606#11745669—22no—
607#11745669—41no—
608(C2×D59)⋊C4—21no—
609(C2×D59)⋊C4—21no—
610(C2×D59)⋊C4—21no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4C2×D411yescharacteristic
623(C2×D59)⋊C4C2×D411yescharacteristic
624(C2×D59)⋊C4C2×D411yescharacteristic
625(C2×D59)⋊C4C2×D411yescharacteristic
626C4⋊Dic59—21no—
627C4⋊Dic59—21no—
628C4⋊Dic59—21no—
629C4⋊Dic59—21no—
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59—21no—
633C4⋊Dic59C2×D411yescharacteristic
634C4⋊Dic59C2×D411yescharacteristic
635C4⋊Dic59C2×D411yescharacteristic
636C4⋊Dic59C2411yescharacteristic
637C4⋊Dic59C2411yescharacteristic
638C4⋊Dic59C2411yescharacteristic
639C4⋊Dic59C2411yescharacteristic
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4C2×D411yescharacteristic
655Dic59⋊C4C2×D411yescharacteristic
656Dic59⋊C4C2×D411yescharacteristic
657Dic59⋊C4C2×D411yescharacteristic
658Dic59⋊C4C2×D411yescharacteristic
659Dic59⋊C4C2×D411yescharacteristic
660C4×Dic59—21no—
661C4×Dic59—21no—
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2411yescharacteristic
676C4×Dic59C2411yescharacteristic
677C4×Dic59C2411yescharacteristic
678C2×C59⋊C8—22no—
679C2×C59⋊C8—22no—
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684Dic236—41no—
685#11745660—22no—
686#11745660—41no—
687#11745659—41no—
688C8×D59—22no—
689C23×C59—21no—
690C23×C59—21no—
691C23×C59C22×D411yescharacteristic
692C23×C59C22×D411yescharacteristic
693C22×D59—21no—
694C22×D59—21no—
695C22×D59—42no—
696C22×D59—42no—
697C22×D59—81no—
698C22×D59—81no—
699C22×D59—81no—
700C22×D59—81no—
701C22×D59C22×D411yescharacteristic
702Q8×C59—21no—
703Q8×C59—21no—
704Q8×C59—21no—
705Q8×C59—42no—
706Q8×C59—81no—
707Q8×C59C2×#4112yes—
708D4×C59—21no—
709D4×C59—21no—
710D4×C59—21no—
711D4×C59—21no—
712D4×C59—41no—
713D4×C59—42no—
714D4×C59—81no—
715D4×C59—81no—
716D4×C59—81no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—42no—
728C2×C4×C59—42no—
729C2×C4×C59—81no—
730C2×C4×C59C22×D411yescharacteristic
731C2×C4×C59C22×D411yescharacteristic
732C2×C4×C59C22×D411yescharacteristic
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C2511yescharacteristic
735C22⋊D59—22no—
736C22⋊D59—41no—
737C22⋊D59—42no—
738C22⋊D59—42no—
739C22⋊D59—42no—
740C22⋊D59—81no—
741C22⋊D59—81no—
742C22⋊D59—81no—
743C2×Dic59—22no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—41no—
751C2×Dic59—42no—
752C2×Dic59—81no—
753C2×Dic59—81no—
754C2×Dic59C22×D411yescharacteristic
755C2×Dic59C22×D411yescharacteristic
756C2×Dic59C22×D411yescharacteristic
757C2×Dic59C22×D411yescharacteristic
758C2×Dic59C22×D411yescharacteristic
759C2×Dic59C22×D411yescharacteristic
760C2×Dic59C22×D411yescharacteristic
761D236—21no—
762D236—21no—
763D236—21no—
764D236—42no—
765D236—81no—
766D236C2×#4112yes—
767C4×D59—21no—
768C4×D59—21no—
769C4×D59—42no—
770C4×D59—42no—
771C4×D59—42no—
772C4×D59—81no—
773C4×D59—81no—
774C4×D59—81no—
775C4×D59—81no—
776C4×D59—81no—
777Dic118—22no—
778Dic118—21no—
779Dic118—21no—
780Dic118—21no—
781Dic118—21no—
782Dic118—42no—
783Dic118—42no—
784Dic118—81no—
785Dic118—81no—
786Dic118—81no—
787Dic118—81no—
788C8×C59—21no—
789C8×C59—21no—
790C8×C59—21no—
791C8×C59—21no—
792C59⋊C8—21no—
793C59⋊C8—21no—
794C59⋊C8—21no—
795C59⋊C8C2×#4112yes—
796#61474—591nomaximal, Sylow
797C22×C59—21no—
798C22×C59—21no—
799C22×C59—21no—
800C22×C59—21no—
801C22×C59—21no—
802C22×C59—21no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59C23×D411yescharacteristic
810C2×D59—21no—
811C2×D59—21no—
812C2×D59—22no—
813C2×D59—21no—
814C2×D59—41no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—162no—
820C2×D59—162no—
821C4×C59—21no—
822C4×C59—22no—
823C4×C59—21no—
824C4×C59—21no—
825C4×C59—21no—
826C4×C59—41no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59C22×#4111yescharacteristic
832C4×C59#58511yescharacteristic
833Dic59—21no—
834Dic59—21no—
835Dic59—21no—
836Dic59—21no—
837Dic59—21no—
838Dic59—21no—
839Dic59—41no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59#57712yes—
846#3518—591no—
847#3514—591no—
848#3394—591no—
849Q8×SD16—591no—
850#3375—591no—
851#3367—591no—
852#3340—591no—
853#3340—591no—
854#3340—591no—
855#3328—591no—
856#3325—591no—
857#3321—591no—
858#3321D5911yescharacteristic, complemented
859#3311—591no—
860#3311—591no—
861#3282—591no—
862#3282—591no—
863D4×SD16—591no—
864#3173—591no—
865#3173—591no—
866#3167—591no—
867#3121—591no—
868#3121—591no—
869#3118—591no—
870#3118—591no—
871#3116—591no—
872#3115—591no—
873#2966—591no—
874#2949—591no—
875#2949—591no—
876C4×#135—591no—
877C2×C59—41no—
878C2×C59—41no—
879C2×C59—81no—
880C2×C59—81no—
881C2×C59D4×#4111yescharacteristic
882C2×C59C2×#57711yescharacteristic
883C2×C59#358411yescharacteristic
884D59—41no—
885D59—42no—
886D59—81no—
887C2×#135—591no—
888C22×SD16—591no—
889C22×SD16—591no—
890#559—591no—
891Q82—591no—
892#556—591no—
893#556—591no—
894#556—591no—
895#556—591no—
896#556—1181no—
897#556—1181no—
898#556—1181no—
899#555—591no—
900#555—591no—
901#555—1181no—
902#555C2×D5911yescharacteristic
903#551—1181no—
904#551—1181no—
905D4×Q8—591no—
906D4×Q8—591no—
907#548—591no—
908#548—1181no—
909#548C2×D5911yescharacteristic, complemented
910#546—591no—
911#546—591no—
912#546—1181no—
913D42—591no—
914#542—591no—
915#542—591no—
916#542—591no—
917#542—591no—
918#542—1181no—
919#542—1181no—
920#538—1181no—
921#538—1181no—
922#533—591no—
923#533—1181no—
924#532—591no—
925#529—591no—
926#529—1181no—
927#529—1181no—
928C2×#124—1181no—
929#519—591no—
930#519—591no—
931#518—591no—
932#518—591no—
933C4×#41—591no—
934C4×#41—591no—
935#498—591no—
936#498—591no—
937#498—591no—
938#495—591no—
939#495—591no—
940#492—591no—
941#489—591no—
942#489—591no—
943#489—591no—
944#489C2×D5911yescharacteristic, complemented
945#487—591no—
946#486—591no—
947#485—591no—
948#485—591no—
949#485—591no—
950#485—591no—
951#485—591no—
952#485C2×D5911yescharacteristic, complemented
953#482—591no—
954#482—591no—
955#482—591no—
956#482—591no—
957#482—591no—
958#482C2×D5911yescharacteristic, complemented
959#477—591no—
960#477—591no—
961#477—591no—
962#476—591no—
963#476—591no—
964#476—591no—
965#475—591no—
966#475—591no—
967#475C2×D5911yescharacteristic, complemented
968#474—591no—
969#474—591no—
970#474—591no—
971#470—591no—
972#470—591no—
973#469—591no—
974#469C2×D5911yescharacteristic
975#465—591no—
976#465—591no—
977#465—591no—
978#465—591no—
979#465—591no—
980#465—591no—
981#465—591no—
982#465C2×D5911yescharacteristic, complemented
983#464—591no—
984#464—591no—
985#464—591no—
986#464—591no—
987#463—591no—
988#463—591no—
989#463—591no—
990#463C2×D5911yescharacteristic, complemented
991#462—591no—
992#461—591no—
993#460—591no—
994#459—591no—
995#452—591no—
996#452—591no—
997#451—591no—
998#451—591no—
999#450—591no—
1000#450—591no—
1001#449—591no—
1002#449C2×D5911yescharacteristic, complemented
1003#448—591no—
1004#448C2×D5911yescharacteristic
1005#447—591no—
1006#447—591no—
1007#446—591no—
1008C8×Q8—591no—
1009#442—591no—
1010#442—591no—
1011#441—591no—
1012#441—591no—
1013#440—591no—
1014#440—591no—
1015#440—591no—
1016#440—591no—
1017#440—591no—
1018#440—591no—
1019#440—591no—
1020#440C2×D5911yescharacteristic, complemented
1021C4×Q16—591no—
1022C4×Q16—591no—
1023C4×SD16—591no—
1024C4×SD16—591no—
1025C4×SD16—591no—
1026C4×SD16—591no—
1027C4×SD16—591no—
1028C4×SD16—591no—
1029C4×SD16—591no—
1030C4×SD16—591no—
1031C4×SD16—591no—
1032C4×SD16—591no—
1033C4×SD16—591no—
1034C4×SD16—591no—
1035C4×D8—591no—
1036C4×D8—591no—
1037#436—591no—
1038#435—591no—
1039#435C2×D5911yescharacteristic, complemented
1040C8×D4—591no—
1041C8×D4—591no—
1042C8×D4—591no—
1043#433—591no—
1044#433—591no—
1045#432—591no—
1046#427—591no—
1047#427—591no—
1048#427—591no—
1049#419—591no—
1050#419C2×D5911yescharacteristic, complemented
1051#418—591no—
1052#418—591no—
1053#416—591no—
1054#416C2×D5911yescharacteristic, complemented
1055#405—591no—
1056#405—591no—
1057C2×C4×C8—591no—
1058C59#6147411yescharacteristic, complemented, Sylow
1059C2×#41—591no—
1060C2×#41—1181no—
1061C2×#41C22×D5911yescharacteristic
1062C22×Q8—591no—
1063C22×Q8—1181no—
1064C22×Q8C22×D5911yescharacteristic
1065C22×D4—591no—
1066C22×D4—591no—
1067C22×D4—1181no—
1068#135—1184no—
1069C2×Q16—591no—
1070C2×Q16—591no—
1071C2×Q16—591no—
1072C2×SD16—591no—
1073C2×SD16—591no—
1074C2×SD16—591no—
1075C2×SD16—591no—
1076C2×SD16—591no—
1077C2×SD16—591no—
1078C2×SD16—591no—
1079C2×SD16—591no—
1080C2×SD16—1184no—
1081C2×SD16—1184no—
1082C2×SD16C22×D5911yescharacteristic
1083C2×SD16C22×D5911yescharacteristic
1084C2×D8—591no—
1085C2×D8—591no—
1086C2×D8C22×D5911yescharacteristic
1087C2×M16—591no—
1088C2×M16C22×D5911yescharacteristic
1089C22×C8—591no—
1090C22×C8—591no—
1091C22×C8—591no—
1092C22×C8C22×D5911yescharacteristic
1093C4⋊Q8—591no—
1094C4⋊Q8—591no—
1095C4⋊Q8—591no—
1096C4⋊Q8—591no—
1097C4⋊Q8—591no—
1098C4⋊Q8—591no—
1099C4⋊Q8—1181no—
1100C4⋊Q8—1181no—
1101C4⋊Q8—1181no—
1102C4⋊Q8—1181no—
1103C4⋊Q8C22×D5911yescharacteristic
1104#127—591no—
1105#126—591no—
1106#126—591no—
1107#126—1181no—
1108#126—1181no—
1109#126—1181no—
1110#126—1181no—
1111#126—1181no—
1112#126—1181no—
1113#126—1181no—
1114#126—1181no—
1115#126—1181no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#125—591no—
1120#125—1181no—
1121#124—21no—
1122#124—21no—
1123#124—21no—
1124#124—591no—
1125#124—591no—
1126#124—591no—
1127#124—591no—
1128#124—1181no—
1129#124—1181no—
1130#124—1181no—
1131#124—1181no—
1132#124—1181no—
1133#124—1181no—
1134#124—1181no—
1135#124—1181no—
1136#124—1181no—
1137#124—1181no—
1138#124—1181no—
1139#124—1181no—
1140#124—1181no—
1141#124—1181no—
1142#124C22×D5911yescharacteristic
1143#123—591no—
1144#123—591no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151#123—1181no—
1152#123—1181no—
1153C22⋊Q8—21no—
1154C22⋊Q8—591no—
1155C22⋊Q8—591no—
1156C22⋊Q8—591no—
1157C22⋊Q8—591no—
1158C22⋊Q8—591no—
1159C22⋊Q8—591no—
1160C22⋊Q8—1181no—
1161C22⋊Q8—1181no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8—1181no—
1170C22⋊Q8—1181no—
1171C22⋊Q8—1181no—
1172C22⋊Q8C22×D5911yescharacteristic
1173#121—21no—
1174#121—21no—
1175#121—591no—
1176#121—591no—
1177#121—591no—
1178#121—591no—
1179#121—1181no—
1180#121—1181no—
1181#121—1181no—
1182#121—1181no—
1183#121—1181no—
1184#121—1181no—
1185#121—1181no—
1186#121C22×D5911yescharacteristic
1187#121C22×D5911yescharacteristic
1188#121C22×D5911yescharacteristic
1189#120—1181no—
1190#120—1181no—
1191#120—1181no—
1192#120—1181no—
1193C4×Q8—591no—
1194C4×Q8—591no—
1195C4×Q8—591no—
1196C4×Q8—591no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8—591no—
1200C4×Q8—591no—
1201C4×Q8—591no—
1202C4×Q8—591no—
1203C4×Q8—1181no—
1204C4×Q8—1181no—
1205C4×Q8—1181no—
1206C4×Q8—1181no—
1207C4×Q8—1181no—
1208C4×Q8—1181no—
1209C4×Q8—1181no—
1210C4×Q8—1181no—
1211C4×Q8—1181no—
1212C4×Q8C22×D5911yescharacteristic
1213C4×D4—21no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—591no—
1221C4×D4—591no—
1222C4×D4—591no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4C22×D5911yescharacteristic
1238C4×D4C22×D5911yescharacteristic
1239#117—21no—
1240#117—591no—
1241#117—591no—
1242#117—591no—
1243#117—591no—
1244#117—591no—
1245#117—591no—
1246#117—1181no—
1247#117—1181no—
1248#117—1181no—
1249#117—1181no—
1250#117—1181no—
1251#117—1181no—
1252#117—1181no—
1253#117—1181no—
1254#117—1181no—
1255#117—1181no—
1256#117C22×D5911yescharacteristic
1257#117C22×D5911yescharacteristic
1258C2×C22⋊C4—1181no—
1259C2×C22⋊C4—1181no—
1260C2×C22⋊C4—1181no—
1261C2×C22⋊C4—1181no—
1262C2×C22⋊C4—1181no—
1263C2×C22⋊C4—1181no—
1264C2×C42—591no—
1265C2×C42—1181no—
1266C2×C42—1181no—
1267#107—591no—
1268#107—591no—
1269#107—591no—
1270#107—591no—
1271#107—591no—
1272#107C22×D5911yescharacteristic
1273#106—591no—
1274#106—591no—
1275#106—591no—
1276#106—591no—
1277#106—591no—
1278#106—591no—
1279#106—591no—
1280#106—591no—
1281#106C22×D5911yescharacteristic
1282#106C22×D5911yescharacteristic
1283C4⋊C8—591no—
1284C4⋊C8—591no—
1285C4⋊C8—591no—
1286C4⋊C8—591no—
1287C4⋊C8—591no—
1288C4⋊C8C22×D5911yescharacteristic
1289#103—591no—
1290#103—591no—
1291#103—591no—
1292#103—591no—
1293#103—591no—
1294#103—591no—
1295#103—591no—
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103C22×D5911yescharacteristic
1300#103C22×D5911yescharacteristic
1301#103C22×D5911yescharacteristic
1302#103C22×D5911yescharacteristic
1303#103C22×D5911yescharacteristic
1304#103C22×D5911yescharacteristic
1305#102—591no—
1306#102—591no—
1307#102—591no—
1308#102—591no—
1309#102—591no—
1310#102—591no—
1311#102—591no—
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102C22×D5911yescharacteristic
1318#102C22×D5911yescharacteristic
1319#102C22×D5911yescharacteristic
1320#102C22×D5911yescharacteristic
1321C22⋊C8—591no—
1322C22⋊C8—591no—
1323C22⋊C8—591no—
1324C22⋊C8—591no—
1325C22⋊C8C22×D5911yescharacteristic
1326C22⋊C8C22×D5911yescharacteristic
1327#97—591no—
1328#97—591no—
1329#97—591no—
1330#97C22×D5911yescharacteristic
1331C4×C8—591no—
1332C4×C8—591no—
1333C4×C8—591no—
1334C4×C8—591no—
1335C4×C8—591no—
1336C4×C8—591no—
1337C24—1181no—
1338C24—1181no—
1339#41—22no—
1340#41—41no—
1341#41—1182no—
1342#41—4722no—
1343#41—2361no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—22no—
1347C2×Q8—41no—
1348C2×Q8—591no—
1349C2×Q8—591no—
1350C2×Q8—591no—
1351C2×Q8—1181no—
1352C2×Q8—1181no—
1353C2×Q8—1181no—
1354C2×Q8—1181no—
1355C2×Q8—1181no—
1356C2×Q8—1181no—
1357C2×Q8—1182no—
1358C2×Q8—4722no—
1359C2×Q8—2361no—
1360C2×Q8C23×D5911yescharacteristic
1361C2×Q8C23×D5911yescharacteristic
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—591no—
1367C2×D4—591no—
1368C2×D4—591no—
1369C2×D4—591no—
1370C2×D4—1182no—
1371C2×D4—1181no—
1372C2×D4—1181no—
1373C2×D4—1181no—
1374C2×D4—1181no—
1375C2×D4—1182no—
1376C2×D4—1181no—
1377C2×D4—1181no—
1378C2×D4—1181no—
1379C2×D4—1181no—
1380C2×D4—4722no—
1381C2×D4—2361no—
1382C2×D4—2361no—
1383C2×D4D4×D5911yescharacteristic
1384C2×D4C23×D5911yescharacteristic
1385C2×D4C23×D5911yescharacteristic
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—591no—
1390C22×C4—591no—
1391C22×C4—591no—
1392C22×C4—1181no—
1393C22×C4—1181no—
1394C22×C4—1181no—
1395C22×C4—1181no—
1396C22×C4—1181no—
1397C22×C4—1181no—
1398C22×C4—1181no—
1399C22×C4—1181no—
1400C22×C4—1181no—
1401C22×C4—1181no—
1402C22×C4—1181no—
1403C22×C4C23×D5911yescharacteristic
1404C22×C4C23×D5911yescharacteristic
1405Q16—1182no—
1406Q16—2361no—
1407Q16—2361no—
1408SD16—22no—
1409SD16—41no—
1410SD16—594no—
1411SD16—1182no—
1412SD16—1182no—
1413SD16—1182no—
1414SD16—1182no—
1415SD16—1182no—
1416SD16—1182no—
1417SD16—2361no—
1418D8—41no—
1419D8—1182no—
1420D8—2361no—
1421M16—41no—
1422M16—2361no—
1423C2×C8—41no—
1424C2×C8—591no—
1425C2×C8—591no—
1426C2×C8—591no—
1427C2×C8—591no—
1428C2×C8—1182no—
1429C2×C8—1182no—
1430C2×C8—1182no—
1431C2×C8C23×D5911yescharacteristic
1432C2×C8C23×D5911yescharacteristic
1433C2×C8C23×D5911yescharacteristic
1434C2×C8C23×D5911yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—591no—
1439C4⋊C4—591no—
1440C4⋊C4—591no—
1441C4⋊C4—591no—
1442C4⋊C4—591no—
1443C4⋊C4—591no—
1444C4⋊C4—591no—
1445C4⋊C4—591no—
1446C4⋊C4—591no—
1447C4⋊C4—591no—
1448C4⋊C4—591no—
1449C4⋊C4—591no—
1450C4⋊C4—591no—
1451C4⋊C4—1181no—
1452C4⋊C4—1181no—
1453C4⋊C4—1181no—
1454C4⋊C4—1181no—
1455C4⋊C4—1181no—
1456C4⋊C4—1181no—
1457C4⋊C4—1181no—
1458C4⋊C4—1181no—
1459C4⋊C4—1181no—
1460C4⋊C4—1181no—
1461C4⋊C4—1181no—
1462C4⋊C4—1181no—
1463C4⋊C4—1181no—
1464C4⋊C4—1181no—
1465C4⋊C4—1181no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4D4×D5911yescharacteristic
1473C4⋊C4C23×D5911yescharacteristic
1474C4⋊C4C23×D5911yescharacteristic
1475C4⋊C4C23×D5911yescharacteristic
1476C4⋊C4C23×D5911yescharacteristic
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—591no—
1487C22⋊C4—591no—
1488C22⋊C4—591no—
1489C22⋊C4—591no—
1490C22⋊C4—591no—
1491C22⋊C4—591no—
1492C22⋊C4—591no—
1493C22⋊C4—591no—
1494C22⋊C4—1181no—
1495C22⋊C4—1181no—
1496C22⋊C4—1181no—
1497C22⋊C4—1181no—
1498C22⋊C4—1181no—
1499C22⋊C4—1181no—
1500C22⋊C4—1181no—
1501C22⋊C4—1181no—
1502C22⋊C4—1181no—
1503C22⋊C4—1181no—
1504C22⋊C4—1181no—
1505C22⋊C4—1181no—
1506C22⋊C4—1181no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4D4×D5911yescharacteristic
1522C22⋊C4D4×D5911yescharacteristic
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—591no—
1527C42—591no—
1528C42—591no—
1529C42—591no—
1530C42—591no—
1531C42—1181no—
1532C42—1181no—
1533C42—1181no—
1534C42—1181no—
1535C42—1181no—
1536C42—1181no—
1537C42—1181no—
1538C42—1181no—
1539C42—1181no—
1540C42—1181no—
1541C42—1181no—
1542C42—1181no—
1543C42—1181no—
1544C42C23×D5911yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—591no—
1548C23—1181no—
1549C23—1181no—
1550C23—4721no—
1551C23—4721no—
1552C23—4721no—
1553C23—4721no—
1554C23—2362no—
1555C23—2362no—
1556C23C2×D4×D5911yescharacteristic
1557C23C2×D4×D5911yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—42no—
1562Q8—81no—
1563Q8—1182no—
1564Q8—1181no—
1565Q8—1181no—
1566Q8—1181no—
1567Q8—1181no—
1568Q8—4721no—
1569Q8—4721no—
1570Q8—4721no—
1571Q8—4721no—
1572Q8—2362no—
1573Q8—2362no—
1574Q8#41×D5912yes—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—21no—
1579D4—41no—
1580D4—42no—
1581D4—81no—
1582D4—81no—
1583D4—81no—
1584D4—592no—
1585D4—1182no—
1586D4—1181no—
1587D4—1181no—
1588D4—1181no—
1589D4—4721no—
1590D4—4721no—
1591D4—4721no—
1592D4—4721no—
1593D4—2362no—
1594D4—2362no—
1595D4—2361no—
1596D4—2362no—
1597D4—2362no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—81no—
1611C2×C4—591no—
1612C2×C4—591no—
1613C2×C4—591no—
1614C2×C4—591no—
1615C2×C4—591no—
1616C2×C4—591no—
1617C2×C4—591no—
1618C2×C4—1182no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—1181no—
1625C2×C4—1181no—
1626C2×C4—1181no—
1627C2×C4—4721no—
1628C2×C4—4721no—
1629C2×C4—4721no—
1630C2×C4—4721no—
1631C2×C4—4721no—
1632C2×C4—4721no—
1633C2×C4—4721no—
1634C2×C4—2362no—
1635C2×C4—2362no—
1636C2×C4—2362no—
1637C2×C4—2362no—
1638C2×C4—2361no—
1639C2×C4C2×D4×D5911yescharacteristic
1640C2×C4C2×D4×D5911yescharacteristic
1641C2×C4C2×D4×D5911yescharacteristic
1642C2×C4C2×D4×D5911yescharacteristic
1643C2×C4C24×D5911yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—592no—
1649C8—1181no—
1650C8—1181no—
1651C8—1181no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—1181no—
1665C22—1181no—
1666C22—1182no—
1667C22—1181no—
1668C22—9442no—
1669C22—9442no—
1670C22—2361no—
1671C22—2361no—
1672C22—2361no—
1673C22—2361no—
1674C22—2361no—
1675C22C22×D4×D5911yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—22no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—592no—
1687C4—1181no—
1688C4—1181no—
1689C4—1181no—
1690C4—1181no—
1691C4—1181no—
1692C4—1181no—
1693C4—2361no—
1694C4—2361no—
1695C4—2361no—
1696C4—2361no—
1697C4—2361no—
1698C4—2361no—
1699C4C2×#41×D5911yescharacteristic
1700C4#1683823711yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—81no—
1704C2—81no—
1705C2—4721no—
1706C2—2361no—
1707C2—2362no—
1708C2#2143758011yescharacteristic
1709C2#577×D5911yescharacteristic
1710C2#2143886911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3321C2
socleC22×C59C23×D4
hypercenter#3321D59
hypocenterC59#61474
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3321

Complements

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

NH ≅ G/Ntype
1. #21438104C2semidirect
2. #21438053C2semidirect
3. #21437095C2semidirect
4. #21436955C2semidirect
5. #21436911C2semidirect
6. #21436811C2semidirect
7. #21436509C2semidirect
8. #21436507C2semidirect
9. #21436502C2semidirect
10. #21436375C2semidirect
11. #21436333C2semidirect
12. #21436278C2semidirect
13. #21436138C2semidirect
14. #21436134C2semidirect
15. #21435806C2semidirect
16. #21435804C2semidirect
17. #21435785C2semidirect
18. #21434712C2semidirect
19. #21434708C2semidirect
20. #21434650C2semidirect
21. #21434332C2semidirect
22. #21434318C2semidirect
23. #21434279C2semidirect
24. #21434275C2semidirect
25. #21434253C2semidirect
26. #21434240C2semidirect
27. #21433066C2semidirect
28. #21432952C2semidirect
29. #21432951C2semidirect
30. #21432864C2semidirect
31. C59×#3321C2semidirect
36. Q8×Dic118C22semidirect
38. #16838123C22semidirect
40. #16838122C22semidirect
42. #16838121C22semidirect
52. #16838059C22semidirect
59. #16838021C22semidirect
62. #16838019C22semidirect
66. #16837954C22semidirect
72. #16837880C22semidirect
73. #16837878C22semidirect
76. #41×Dic59C22semidirect
78. #16837799C22semidirect
79. #16837799C22semidirect
80. #16837798C22semidirect
81. #16837785C22semidirect
82. #16837784C22semidirect
84. #16837762C22semidirect
85. #16837760C22semidirect
86. #16837760C22semidirect
87. #16837751C22semidirect
89. #16837746C22semidirect
90. #16837744C22semidirect
91. #16837743C22semidirect
92. #16837743C22semidirect
93. #16837741C22semidirect
95. #16837727C22semidirect
96. #16837725C22semidirect
98. #16837723C22semidirect
99. #16837696C22semidirect
100. #16837695C22semidirect
101. #16837694C22semidirect
105. #16837685C22semidirect
106. #16837685C22semidirect
107. #16837682C22semidirect
108. #16837681C22semidirect
109. #16837680C22semidirect
110. #16837660C22semidirect
111. #16837659C22semidirect
114. #16837633C22semidirect
115. #16837631C22semidirect
116. #16837630C22semidirect
118. #16837629C22semidirect
119. #16837629C22semidirect
120. #16837625C22semidirect
121. #16837624C22semidirect
122. #16837622C22semidirect
123. #16837622C22semidirect
125. #16837616C22semidirect
127. #16837611C22semidirect
133. #16837559C22semidirect
134. #16837558C22semidirect
137. #16837547C22semidirect
141. #16837530C22semidirect
142. #16837526C22semidirect
143. #16837514C22semidirect
144. #16837511C22semidirect
145. #16837508C22semidirect
146. #16837506C22semidirect
149. #16837505C22semidirect
150. #16837505C22semidirect
152. #16837503C22semidirect
154. #16837494C22semidirect
155. #16837494C22semidirect
156. #16837493C22semidirect
157. #16837493C22semidirect
158. #16837493C22semidirect
159. SD16×Dic59C22semidirect
161. #16837489C22semidirect
162. C4×#11745670C22semidirect
166. #16837487C22semidirect
167. #16837487C22semidirect
171. #16837473C22semidirect
172. D4×C59⋊C8C22semidirect
174. (C22⋊D59)⋊C8C22semidirect
175. #16837462C22semidirect
176. #16837460C22semidirect
177. #16837456C22semidirect
178. #16837439C22semidirect
179. #16837438C22semidirect
180. #16837438C22semidirect
181. #16837409C22semidirect
185. #16837360C22semidirect
186. #16837359C22semidirect
187. C2×C8×Dic59C22semidirect
189. C59×#548C22semidirect
190. C59×#489C22semidirect
191. C59×#485C22semidirect
192. C59×#482C22semidirect
193. C59×#475C22semidirect
195. C59×#465C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#419C22semidirect
202. C59×#416C22semidirect
603. #11745671#41semidirect
858. #3321D59semidirect
909. #548C2×D59semidirect
944. #489C2×D59semidirect
952. #485C2×D59semidirect
958. #482C2×D59semidirect
967. #475C2×D59semidirect
982. #465C2×D59semidirect
990. #463C2×D59semidirect
1002. #449C2×D59semidirect
1020. #440C2×D59semidirect
1039. #435C2×D59semidirect
1050. #419C2×D59semidirect
1054. #416C2×D59semidirect
1058. C59#61474semidirect

Maximal subgroups

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

subgroupindex
#214381042
#214380532
#214370952
#214369552
#214369112
#214368112
#214365092
#214365072
#214365022
#214363752
#214363332
#214362782
#214361382
#214361342
#214358062
#214358042
#214357852
#214347122
#214347082
#214346502
#214343322
#214343182
#214342792
#214342752
#214342532
#214342402
#214330662
#214329522
#214329512
#214328642
C59×#33212
#6147459