Finite Group Databasebeta

← #29470678

Subgroups — #29470678

Order 15104.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437697C211yesmaximal, characteristic, complemented
2#21437661C211yesmaximal, characteristic, complemented
3#21437155C211yesmaximal, characteristic, complemented
4#21437053C211yesmaximal, characteristic, complemented
5#21436928C211yesmaximal, characteristic, complemented
6#21436844C211yesmaximal, characteristic, complemented
7#21436589C211yesmaximal, characteristic, complemented
8#21436551C211yesmaximal, characteristic, complemented
9#21436479C211yesmaximal, characteristic, complemented
10#21436253C211yesmaximal, characteristic, complemented
11#21436179C211yesmaximal, characteristic, complemented
12#21436067C211yesmaximal, characteristic, complemented
13#21435952C211yesmaximal, characteristic, complemented
14#21435927C211yesmaximal, characteristic, complemented
15#21435774C211yesmaximal, characteristic, complemented
16#21435619C211yesmaximal, characteristic, complemented
17#21435572C211yesmaximal, characteristic, complemented
18#21434818C211yesmaximal, characteristic, complemented
19#21434798C211yesmaximal, characteristic, complemented
20#21434793C211yesmaximal, characteristic, complemented
21#21434246C211yesmaximal, characteristic, complemented
22#21434235C211yesmaximal, characteristic, complemented
23#21434231C211yesmaximal, characteristic, complemented
24#21434210C211yesmaximal, characteristic, complemented
25#21434200C211yesmaximal, characteristic, complemented
26#21434190C211yesmaximal, characteristic, complemented
27#21433106C211yesmaximal, characteristic, complemented
28#21432900C211yesmaximal, characteristic, complemented
29#21432891C211yesmaximal, characteristic, complemented
30C2×#16837511C211yesmaximal, characteristic, complemented
31C59×#3310C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic
33C2×#14273748C2211yescharacteristic
34C22×#11745669C2211yescharacteristic
35#16838138C2211yescharacteristic, complemented
36#16838124C2211yescharacteristic, complemented
37#16838115C2211yescharacteristic, complemented
38#16838109C2211yescharacteristic
39#16838109C2211yescharacteristic, complemented
40#16838108C2211yescharacteristic, complemented
41#16838104—21no—
42#16838104C2211yescharacteristic
43#16838104C2211yescharacteristic, complemented
44#16838103—21no—
45#16838087C2211yescharacteristic, complemented
46#16838084—21no—
47#16838083—21no—
48#16838083—21no—
49#16838076—21no—
50#16838075—21no—
51#16838054C2211yescharacteristic, complemented
52#16838048C2211yescharacteristic
53#16838046—21no—
54#16838046C2211yescharacteristic
55#16838046C2211yescharacteristic, complemented
56#16838043C2211yescharacteristic, complemented
57#16837954C2211yescharacteristic, complemented
58#16837950C2211yescharacteristic, complemented
59#16837938C2211yescharacteristic, complemented
60#16837937—21no—
61#16837937C2211yescharacteristic, complemented
62#16837935—21no—
63#16837933—21no—
64#16837933C2211yescharacteristic
65#16837933C2211yescharacteristic, complemented
66#16837910—21no—
67#16837908—21no—
68#16837908—21no—
69C4×#11745689C2211yescharacteristic, complemented
70#16837870C2211yescharacteristic, complemented
71C4×#11745687C2211yescharacteristic
72C4×#11745687C2211yescharacteristic, complemented
73C2×D4×Dic59—21no—
74C2×D4×Dic59C2211yescharacteristic
75C2×D4×Dic59C2211yescharacteristic, complemented
76C2×#14273689C2211yescharacteristic, complemented
77#117×D59—21no—
78#16837812C2211yescharacteristic, complemented
79#16837809C2211yescharacteristic, complemented
80#16837803C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837789C2211yescharacteristic
83#16837783C2211yescharacteristic, complemented
84#16837769C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837758C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837745C2211yescharacteristic, complemented
90#16837743C2211yescharacteristic, complemented
91#16837738C2211yescharacteristic, complemented
92#16837735C2211yescharacteristic, complemented
93#16837732C2211yescharacteristic, complemented
94#16837730C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837724C2211yescharacteristic, complemented
97#16837724C2211yescharacteristic, complemented
98#16837716C2211yescharacteristic, complemented
99#16837708C2211yescharacteristic, complemented
100#16837706C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837705C2211yescharacteristic, complemented
103#16837701C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837700C2211yescharacteristic, complemented
106#16837687C2211yescharacteristic, complemented
107#16837683C2211yescharacteristic, complemented
108#16837680C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837658C2211yescharacteristic, complemented
111#16837653C2211yescharacteristic
112#16837648C2211yescharacteristic, complemented
113#16837643C2211yescharacteristic, complemented
114#16837641C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837637C2211yescharacteristic, complemented
117#16837630C2211yescharacteristic, complemented
118#16837630C2211yescharacteristic, complemented
119#16837629C2211yescharacteristic
120#16837625C2211yescharacteristic, complemented
121#16837623C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic
123#16837619C2211yescharacteristic, complemented
124#16837617C2211yescharacteristic
125#16837616C2211yescharacteristic, complemented
126#16837616C2211yescharacteristic, complemented
127#16837616C2211yescharacteristic, complemented
128#16837605C2211yescharacteristic, complemented
129#16837605C2211yescharacteristic, complemented
130#16837594C2211yescharacteristic
131#16837566C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837555C2211yescharacteristic, complemented
134#16837553C2211yescharacteristic
135#16837548C2211yescharacteristic
136#16837546C2211yescharacteristic, complemented
137#16837546C2211yescharacteristic, complemented
138#16837545C2211yescharacteristic
139#16837536C2211yescharacteristic
140#16837535C2211yescharacteristic
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837512C2211yescharacteristic
144#16837511C2211yescharacteristic
145#16837511C2211yescharacteristic
146#16837511C2211yescharacteristic
147#16837511C2211yescharacteristic
148#16837511C2211yescharacteristic, complemented
149#16837511C2211yescharacteristic, complemented
150#16837511C2211yescharacteristic, complemented
151#16837511C2211yescharacteristic, complemented
152#16837511C2211yescharacteristic, complemented
153#16837511C2211yescharacteristic, complemented
154#16837508C2211yescharacteristic, complemented
155#16837507C2211yescharacteristic, complemented
156#16837506C2211yescharacteristic, complemented
157#16837504C2211yescharacteristic, complemented
158#16837503C2211yescharacteristic, complemented
159#16837503C2211yescharacteristic, complemented
160#16837503C2211yescharacteristic, complemented
161#16837501C2211yescharacteristic, complemented
162#16837501C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164#16837499C2211yescharacteristic, complemented
165#16837499C2211yescharacteristic, complemented
166#16837493C2211yescharacteristic, complemented
167#16837493C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic
169#16837482C2211yescharacteristic, complemented
170#16837476C2211yescharacteristic, complemented
171#16837474C2211yescharacteristic
172#16837471C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic, complemented
174(C22⋊D59)⋊C8C2211yescharacteristic, complemented
175#16837458C2211yescharacteristic, complemented
176#16837456C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837445C2211yescharacteristic, complemented
179#16837439C2211yescharacteristic, complemented
180C2×#14273658C2211yescharacteristic, complemented
181#16837404C2211yescharacteristic, complemented
182#16837397C2211yescharacteristic, complemented
183#16837395C2211yescharacteristic, complemented
184C2×#14273649C2211yescharacteristic, complemented
185M16×Dic59C2211yescharacteristic, complemented
186C2×#14273637C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic
189D42×C59C2211yescharacteristic
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic
193C59×#478C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic
198C59×#450C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic
201C59×#418C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic
203C2×#11745689C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745687—21no—
206C2×#11745687D411yescharacteristic
207C2×#11745687C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C23×Dic59—21no—
210C23×Dic59—21no—
211C22×C4×D59—21no—
212#14273753—24no—
213#14273748—24no—
214C2×Dic236C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745660C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745669—24no—
222C2×#11745669C2311yescharacteristic
223C2×#11745669C2311yescharacteristic
224C2×#11745669C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745664C2311yescharacteristic
229C22×C59⋊C8C2311yescharacteristic
230C2×C8×D59C2311yescharacteristic
231C2×C8×D59C2311yescharacteristic
232#14273727C2311yescharacteristic
233#14273726C2311yescharacteristic
234#14273725C2311yescharacteristic
235#14273722—21no—
236#14273722—21no—
237#14273722—21no—
238#14273722—21no—
239#14273721—21no—
240#14273720—21no—
241#14273720—21no—
242#14273720—21no—
243#14273720—21no—
244#14273718—21no—
245#14273718C2311yescharacteristic
246#14273718C2311yescharacteristic
247#14273718C2311yescharacteristic
248#14273717—21no—
249#14273717—21no—
250#14273716C2311yescharacteristic
251#14273715—21no—
252#14273715C2311yescharacteristic
253#14273714—21no—
254#14273714—21no—
255#14273714C2311yescharacteristic
256#14273714C2311yescharacteristic
257#14273713—21no—
258#14273712—21no—
259#14273712—21no—
260#14273712—21no—
261#14273712—21no—
262#14273711—21no—
263#14273711—21no—
264#14273711—21no—
265#14273710—21no—
266#14273709—21no—
267#14273708—21no—
268#14273708—21no—
269#14273708—21no—
270#14273708—21no—
271#14273708—21no—
272#14273708—21no—
273#14273707—21no—
274#14273707C2311yescharacteristic
275#14273706—21no—
276#14273706C2311yescharacteristic
277#14273706C2311yescharacteristic
278#14273706C2311yescharacteristic
279#14273705—21no—
280#14273705—21no—
281#14273705—21no—
282#14273704—21no—
283#14273704—21no—
284#14273704—21no—
285#14273704—21no—
286#14273704—21no—
287#14273702—21no—
288#14273702C2311yescharacteristic
289#14273701C2311yescharacteristic
290#14273700—21no—
291#14273700—21no—
292#14273700—21no—
293#14273699—21no—
294#14273699—21no—
295#14273699—21no—
296#14273699—21no—
297#14273698—21no—
298#14273698C2311yescharacteristic
299#14273698C2311yescharacteristic
300#14273697—21no—
301#14273696—21no—
302#14273696—21no—
303#14273695—21no—
304Q8×Dic59C2311yescharacteristic
305C4×Dic118C2311yescharacteristic
306C4×Dic118C2311yescharacteristic
307#14273692—21no—
308#14273692D411yescharacteristic
309#14273692C2311yescharacteristic
310#14273692C2311yescharacteristic
311#14273692C2311yescharacteristic
312C4×D236—21no—
313C4×D236C2311yescharacteristic
314D4×Dic59—21no—
315D4×Dic59—21no—
316D4×Dic59—21no—
317D4×Dic59—21no—
318D4×Dic59—21no—
319D4×Dic59—21no—
320D4×Dic59—21no—
321D4×Dic59—21no—
322D4×Dic59—21no—
323D4×Dic59—21no—
324D4×Dic59—21no—
325D4×Dic59D411yescharacteristic
326D4×Dic59C2311yescharacteristic
327D4×Dic59C2311yescharacteristic
328D4×Dic59C2311yescharacteristic
329D4×Dic59C2311yescharacteristic
330D4×Dic59C2311yescharacteristic
331D4×Dic59C2311yescharacteristic
332D4×Dic59C2311yescharacteristic
333#14273689—21no—
334#14273689—21no—
335#14273689—21no—
336#14273689—21no—
337#14273689C2311yescharacteristic
338#14273689C2311yescharacteristic
339#14273689C2311yescharacteristic
340#14273689C2311yescharacteristic
341#14273689C2311yescharacteristic
342C4×C22⋊D59—21no—
343C4×C22⋊D59C2311yescharacteristic
344C4×C22⋊D59C2311yescharacteristic
345(C22⋊D59)⋊C4—21no—
346(C22⋊D59)⋊C4—21no—
347(C22⋊D59)⋊C4—21no—
348(C22⋊D59)⋊C4—21no—
349(C22⋊D59)⋊C4D411yescharacteristic
350(C22⋊D59)⋊C4D411yescharacteristic
351#14273686—21no—
352#14273685—21no—
353#14273685—21no—
354#14273685—21no—
355#14273685D411yescharacteristic
356#14273685C2311yescharacteristic
357#14273685C2311yescharacteristic
358#14273684—21no—
359#14273684—21no—
360#14273684—21no—
361#14273683—21no—
362#14273683—21no—
363#14273683—21no—
364#14273683—21no—
365#14273683D411yescharacteristic
366#14273683D411yescharacteristic
367C2×C4⋊Dic59—21no—
368C2×C4⋊Dic59C2311yescharacteristic
369C2×C4⋊Dic59C2311yescharacteristic
370C4⋊C4×D59—21no—
371C4⋊C4×D59—21no—
372C2×C22⋊Dic59—21no—
373C2×C22⋊Dic59—21no—
374C2×C22⋊Dic59—21no—
375C2×C22⋊Dic59—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C2×C4×Dic59—21no—
380C2×C4×Dic59C2311yescharacteristic
381C2×C4×Dic59C2311yescharacteristic
382C42×D59—21no—
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273658C2311yescharacteristic
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#14273651C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
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#14273638C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C22×D4×C59—21no—
439C22×D4×C59C2311yescharacteristic
440C22×D4×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×M16×C59C2311yescharacteristic
445C22×C8×C59C2311yescharacteristic
446#127×C59C2311yescharacteristic
447#126×C59—21no—
448#125×C59—21no—
449#125×C59C2311yescharacteristic
450#123×C59—21no—
451C22⋊Q8×C59C2311yescharacteristic
452C22⋊Q8×C59C2311yescharacteristic
453#121×C59—21no—
454#121×C59C2311yescharacteristic
455#121×C59C2311yescharacteristic
456#120×C59—21no—
457#120×C59—21no—
458C4×Q8×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461#117×C59—21no—
462#117×C59C2311yescharacteristic
463C2×C4⋊C4×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468#103×C59C2311yescharacteristic
469#102×C59C2311yescharacteristic
470#102×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C24×C59—21no—
482C24×C59—21no—
483C23×D59—21no—
484C2×Q8×C59C2411yescharacteristic
485C2×D4×C59—22no—
486C2×D4×C59—22no—
487C2×D4×C59—21no—
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—41no—
494C2×D4×C59—41no—
495C2×D4×C59—44no—
496C2×D4×C59C2×D411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C2×D4×C59C2411yescharacteristic
499C2×D4×C59C2411yescharacteristic
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59C2411yescharacteristic
503C22×C4×C59C2411yescharacteristic
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×Dic59—21no—
515C22×Dic59—21no—
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—82no—
522C22×Dic59—82no—
523C22×Dic59C2×D411yescharacteristic
524C22×Dic59C2×D411yescharacteristic
525C22×Dic59C2×D411yescharacteristic
526C22×Dic59C2×D411yescharacteristic
527#11745689—22no—
528#11745689—41no—
529#11745687—22no—
530#11745687—41no—
531#11745687—42no—
532#11745687—82no—
533#11745685—22no—
534#11745685—41no—
535C2×D236—22no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—41no—
540C2×D236C2411yescharacteristic
541C2×D236C2411yescharacteristic
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—44no—
551C2×C4×D59C2×D411yescharacteristic
552C2×C4×D59C2×D411yescharacteristic
553C2×C4×D59C2411yescharacteristic
554C2×Dic118—21no—
555C2×Dic118—21no—
556C2×Dic118C2×D411yescharacteristic
557C2×Dic118C2411yescharacteristic
558C2×Dic118C2411yescharacteristic
559SD16×C59—22no—
560SD16×C59—41no—
561SD16×C59—41no—
562M16×C59—41no—
563C2×C8×C59—41no—
564C2×C8×C59C2411yescharacteristic
565C2×C8×C59C2411yescharacteristic
566C2×C8×C59C2411yescharacteristic
567C2×C8×C59C2411yescharacteristic
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59C2×D411yescharacteristic
575C4⋊C4×C59C2411yescharacteristic
576C4⋊C4×C59C2411yescharacteristic
577C4⋊C4×C59C2411yescharacteristic
578C4⋊C4×C59C2411yescharacteristic
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59C2×D411yescharacteristic
586C22⋊C4×C59C2×D411yescharacteristic
587C42×C59—21no—
588C42×C59—21no—
589C42×C59C2411yescharacteristic
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59C2×D411yescharacteristic
607C22⋊Dic59C2×D411yescharacteristic
608#11745672—22no—
609#11745670—22no—
610#11745670—22no—
611#11745670—41no—
612#11745669—22no—
613#11745669—22no—
614#11745669—22no—
615#11745669—22no—
616#11745669—41no—
617#11745669#4114yescomplemented
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4C2×D411yescharacteristic
634(C2×D59)⋊C4C2×D411yescharacteristic
635C4⋊Dic59—21no—
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59—21no—
639C4⋊Dic59—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59C2×D411yescharacteristic
644C4⋊Dic59C2411yescharacteristic
645C4⋊Dic59C2411yescharacteristic
646C4⋊Dic59C2411yescharacteristic
647C4⋊Dic59C2411yescharacteristic
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4C2×D411yescharacteristic
662Dic59⋊C4C2×D411yescharacteristic
663Dic59⋊C4C2×D411yescharacteristic
664Dic59⋊C4C2×D411yescharacteristic
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59C2×D411yescharacteristic
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2411yescharacteristic
679C4×Dic59C2411yescharacteristic
680C4×Dic59C2411yescharacteristic
681#11745664—22no—
682C2×C59⋊C8—22no—
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687Dic236—41no—
688#11745660—22no—
689#11745660—41no—
690C8×D59—22no—
691C8×D59—41no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—21no—
695C23×C59—42no—
696C23×C59—42no—
697C23×C59—42no—
698C23×C59—42no—
699C23×C59—81no—
700C23×C59—81no—
701C23×C59C22×D411yescharacteristic
702C23×C59C22×D411yescharacteristic
703C22×D59—21no—
704C22×D59—21no—
705C22×D59—42no—
706C22×D59—42no—
707C22×D59—81no—
708C22×D59C22×D411yescharacteristic
709Q8×C59—21no—
710Q8×C59—21no—
711D4×C59—22no—
712D4×C59—21no—
713D4×C59—21no—
714D4×C59—21no—
715D4×C59—21no—
716D4×C59—21no—
717D4×C59—42no—
718D4×C59—42no—
719D4×C59—42no—
720D4×C59—42no—
721D4×C59—42no—
722D4×C59—81no—
723D4×C59C2×#4112yes—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—42no—
734C2×C4×C59—42no—
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C22×D411yescharacteristic
737C2×C4×C59C22×D411yescharacteristic
738C2×C4×C59C22×D411yescharacteristic
739C2×C4×C59C2511yescharacteristic
740C22⋊D59—22no—
741C22⋊D59—41no—
742C22⋊D59—42no—
743C22⋊D59—42no—
744C22⋊D59—81no—
745C22⋊D59—81no—
746C22⋊D59—81no—
747C2×Dic59—22no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—41no—
755C2×Dic59—41no—
756C2×Dic59—41no—
757C2×Dic59—42no—
758C2×Dic59—42no—
759C2×Dic59—42no—
760C2×Dic59—42no—
761C2×Dic59—81no—
762C2×Dic59—81no—
763C2×Dic59—81no—
764C2×Dic59—81no—
765C2×Dic59—81no—
766C2×Dic59—81no—
767C2×Dic59C22×D411yescharacteristic
768C2×Dic59C22×D411yescharacteristic
769C2×Dic59C22×D411yescharacteristic
770C2×Dic59C22×D411yescharacteristic
771C2×Dic59C22×D411yescharacteristic
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774D236—21no—
775D236—21no—
776D236—21no—
777D236—42no—
778D236—42no—
779D236—81no—
780D236C2×#4112yes—
781C4×D59—21no—
782C4×D59—21no—
783C4×D59—41no—
784C4×D59—41no—
785C4×D59—42no—
786C4×D59—42no—
787C4×D59—42no—
788C4×D59—42no—
789C4×D59—42no—
790C4×D59—42no—
791C4×D59—81no—
792C4×D59—81no—
793Dic118—21no—
794Dic118—21no—
795Dic118—21no—
796Dic118—21no—
797Dic118—41no—
798Dic118—81no—
799Dic118—81no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59—21no—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8C2×#4112yes—
808#61454—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—22no—
813C22×C59—21no—
814C22×C59—21no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—84no—
824C22×C59—84no—
825C22×C59#57512yes—
826C22×C59C23×D411yescharacteristic
827C2×D59—21no—
828C2×D59—21no—
829C2×D59—22no—
830C2×D59—21no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—84no—
837C4×C59—21no—
838C4×C59—21no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—41no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59—41no—
846C4×C59C22×#4111yescharacteristic
847C4×C59#58511yescharacteristic
848Dic59—21no—
849Dic59—21no—
850Dic59—21no—
851Dic59—21no—
852Dic59—21no—
853Dic59—21no—
854Dic59—21no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860Dic59—41no—
861#3481—591no—
862#3475—591no—
863#3401—591no—
864#3389—591no—
865#3376—591no—
866#3370—591no—
867#3347—591no—
868#3344—591no—
869#3337—591no—
870#3319—591no—
871#3314—591no—
872#3310D5911yescharacteristic, complemented
873#3307—591no—
874#3297—591no—
875#3296—591no—
876#3280—591no—
877#3267—591no—
878#3264—591no—
879#3183—591no—
880#3181—591no—
881#3180—591no—
882#3115—591no—
883#3114—591no—
884#3114—591no—
885#3111—591no—
886#3111—591no—
887#3110—591no—
888#2970—591no—
889C4×AGL(1,ℤ/8)—591no—
890#2943—591no—
891C2×#442—591no—
892C2×C59—22no—
893C2×C59—41no—
894C2×C59—42no—
895C2×C59—81no—
896C2×C59—81no—
897C2×C59D4×#4111yescharacteristic
898C2×C59C2×#57511yescharacteristic
899C2×C59#358511yescharacteristic
900D59—41no—
901D59—42no—
902D59—81no—
903C2×AGL(1,ℤ/8)—591no—
904C2×#135—591no—
905C22×D8—591no—
906#559—591no—
907#556—591no—
908#555—591no—
909#554—591no—
910#554—591no—
911#554—591no—
912#553—591no—
913#553—591no—
914#553—1181no—
915#553—1181no—
916#552—591no—
917#552—1181no—
918#552C2×D5911yescharacteristic
919#551—1181no—
920#551—1181no—
921#551—1181no—
922#551—1181no—
923#547—591no—
924#546—591no—
925#546—591no—
926#546—591no—
927#546—591no—
928#546—1181no—
929D42C2×D5911yescharacteristic
930#533—591no—
931#532—591no—
932#529—591no—
933#529—591no—
934#529—591no—
935#529—591no—
936#529—1181no—
937#529—1181no—
938#529—1181no—
939#525—1181no—
940#525—1181no—
941#525—1181no—
942C4×#41—591no—
943C4×#41—591no—
944C4×#41—591no—
945C4×#41—591no—
946C2×C4×D4—591no—
947C2×C4×D4—591no—
948C2×C4×D4—591no—
949C2×C4×D4—1181no—
950C2×#117—1181no—
951#501—591no—
952#501—591no—
953#499—591no—
954#497—591no—
955#496—591no—
956#495—591no—
957#491—591no—
958#490C2×D5911yescharacteristic, complemented
959#489—591no—
960#489—591no—
961#488—591no—
962#488—591no—
963#485—591no—
964#485—591no—
965#484—591no—
966#484—591no—
967#483—591no—
968#483—591no—
969#482—591no—
970#482—591no—
971#482—591no—
972#482C2×D5911yescharacteristic, complemented
973#480—591no—
974#480C2×D5911yescharacteristic
975#479—591no—
976#479—591no—
977#478—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#478C2×D5911yescharacteristic, complemented
983#475—591no—
984#474—591no—
985#474—591no—
986#474—591no—
987#470—591no—
988#469—591no—
989#468—591no—
990#468C2×D5911yescharacteristic, complemented
991#467—591no—
992#467—591no—
993#466—591no—
994#466—591no—
995#465—591no—
996#465—591no—
997#465—591no—
998#465C2×D5911yescharacteristic
999#464—591no—
1000#464—591no—
1001#463—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463—591no—
1006#463—591no—
1007#461—591no—
1008#461—591no—
1009#460C2×D5911yescharacteristic, complemented
1010#459—591no—
1011#452—591no—
1012#452—591no—
1013#450—591no—
1014#450—591no—
1015#450C2×D5911yescharacteristic
1016#450C2×D5911yescharacteristic, complemented
1017#449—591no—
1018#449—591no—
1019#449—591no—
1020#449—591no—
1021#447—591no—
1022#447—591no—
1023#446—591no—
1024#446—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442—591no—
1030#442—591no—
1031#442—591no—
1032#442—591no—
1033#442—591no—
1034#442—591no—
1035#442—591no—
1036#441—591no—
1037#441—591no—
1038#441—591no—
1039#440—591no—
1040#440—591no—
1041#440—591no—
1042#440—591no—
1043#440—591no—
1044#440—591no—
1045#440—591no—
1046#440—591no—
1047#440—591no—
1048#440C2×D5911yescharacteristic, complemented
1049C4×SD16—591no—
1050C4×SD16—591no—
1051C4×D8—591no—
1052C4×D8—591no—
1053#435—591no—
1054#435—591no—
1055#435—591no—
1056#435C2×D5911yescharacteristic
1057C8×D4—591no—
1058C8×D4—591no—
1059#432—591no—
1060#432—591no—
1061#432—591no—
1062#428—591no—
1063#427—591no—
1064C2×#106—591no—
1065#418C2×D5911yescharacteristic, complemented
1066#417—591no—
1067#416—591no—
1068#416—591no—
1069C2×#102—591no—
1070C2×#102C2×D5911yescharacteristic
1071C4×M16—591no—
1072C2×#97—591no—
1073C2×#97—591no—
1074C59#6145411yescharacteristic, complemented, Sylow
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—591no—
1078C2×#41—591no—
1079C2×#41—1181no—
1080C22×D4—21no—
1081C22×D4—591no—
1082C22×D4C22×D5911yescharacteristic
1083C22×D4C22×D5911yescharacteristic
1084C23×C4—1181no—
1085C23×C4—1181no—
1086C23×C4—1181no—
1087AGL(1,ℤ/8)—1184no—
1088#135—1184no—
1089C2×Q16—591no—
1090C2×Q16—591no—
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16C22×D5911yescharacteristic
1097C2×SD16C22×D5911yescharacteristic
1098C2×SD16C22×D5911yescharacteristic
1099C2×D8—591no—
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8—591no—
1105C2×D8—1184no—
1106C2×M16—591no—
1107C2×M16C22×D5911yescharacteristic
1108C22×C8—591no—
1109C22×C8—591no—
1110C22×C8—591no—
1111C22×C8C22×D5911yescharacteristic
1112C4⋊Q8—591no—
1113C4⋊Q8—591no—
1114C4⋊Q8—591no—
1115#127C22×D5911yescharacteristic
1116#126—21no—
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#126—1181no—
1122#126—1181no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#125—21no—
1127#125—591no—
1128#125—591no—
1129#125—591no—
1130#125—1181no—
1131#125—1181no—
1132#125—1181no—
1133#125C22×D5911yescharacteristic
1134#124—591no—
1135#124—591no—
1136#124—591no—
1137#124—591no—
1138#124—1181no—
1139#124—1181no—
1140#124—1181no—
1141#124—1181no—
1142#123—21no—
1143#123—1181no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151#123—1181no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158C22⋊Q8—591no—
1159C22⋊Q8—591no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
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
1173C22⋊Q8C22×D5911yescharacteristic
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#121—1181no—
1187#121—1181no—
1188#121C22×D5911yescharacteristic
1189#121C22×D5911yescharacteristic
1190#120—21no—
1191#120—21no—
1192#120—1181no—
1193#120—1181no—
1194#120—1181no—
1195#120—1181no—
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×Q8C22×D5911yescharacteristic
1205C4×D4—591no—
1206C4×D4—591no—
1207C4×D4—591no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
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—1181no—
1224C4×D4—1181no—
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×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×D4C22×D5911yescharacteristic
1245C4×D4C22×D5911yescharacteristic
1246#117—21no—
1247#117—591no—
1248#117—591no—
1249#117—591no—
1250#117—591no—
1251#117—591no—
1252#117—1181no—
1253#117—1181no—
1254#117—1181no—
1255#117—1181no—
1256#117—1181no—
1257#117—1181no—
1258#117—1181no—
1259#117—1181no—
1260#117—1181no—
1261#117—1181no—
1262#117—1181no—
1263#117C22×D5911yescharacteristic
1264C2×C4⋊C4—591no—
1265C2×C4⋊C4—591no—
1266C2×C4⋊C4—1181no—
1267C2×C4⋊C4—1181no—
1268C2×C4⋊C4—1181no—
1269C2×C4⋊C4C22×D5911yescharacteristic
1270C2×C22⋊C4—1181no—
1271C2×C22⋊C4—1181no—
1272C2×C22⋊C4—1181no—
1273C2×C22⋊C4—1181no—
1274C2×C22⋊C4—1181no—
1275C2×C22⋊C4—1181no—
1276C2×C22⋊C4—1181no—
1277C2×C42—591no—
1278C2×C42—591no—
1279C2×C42—591no—
1280C2×C42—1181no—
1281C2×C42—1181no—
1282C2×C42—1181no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107—591no—
1289#107C22×D5911yescharacteristic
1290#107C22×D5911yescharacteristic
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106—591no—
1296#106—591no—
1297#106—591no—
1298#106C22×D5911yescharacteristic
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8—591no—
1304C4⋊C8C22×D5911yescharacteristic
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103—591no—
1313#103—591no—
1314#103—591no—
1315#103—591no—
1316#103C22×D5911yescharacteristic
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328#102C22×D5911yescharacteristic
1329#102C22×D5911yescharacteristic
1330#102C22×D5911yescharacteristic
1331#102C22×D5911yescharacteristic
1332#102C22×D5911yescharacteristic
1333#102C22×D5911yescharacteristic
1334#102C22×D5911yescharacteristic
1335#102C22×D5911yescharacteristic
1336#102C22×D5911yescharacteristic
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8—591no—
1341C22⋊C8C22×D5911yescharacteristic
1342C22⋊C8C22×D5911yescharacteristic
1343#97—591no—
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347#97—591no—
1348#97—591no—
1349#97—591no—
1350#97C22×D5911yescharacteristic
1351C4×C8—591no—
1352C4×C8—591no—
1353C24—21no—
1354C24—21no—
1355C24—1181no—
1356#41—1182no—
1357#41—1182no—
1358#41—1182no—
1359#41—4722no—
1360#41—2361no—
1361#41—2362no—
1362#41—2361no—
1363#41—2361no—
1364C2×Q8—591no—
1365C2×Q8—591no—
1366C2×Q8—591no—
1367C2×Q8—1181no—
1368C2×Q8—1181no—
1369C2×Q8C23×D5911yescharacteristic
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—44no—
1381C2×D4—591no—
1382C2×D4—591no—
1383C2×D4—591no—
1384C2×D4—591no—
1385C2×D4—1182no—
1386C2×D4—1181no—
1387C2×D4—1181no—
1388C2×D4—1181no—
1389C2×D4—1181no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—1181no—
1393C2×D4—1181no—
1394C2×D4—2361no—
1395C2×D4D4×D5911yescharacteristic
1396C2×D4C23×D5911yescharacteristic
1397C2×D4C23×D5911yescharacteristic
1398C2×D4C23×D5911yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—591no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—1181no—
1409C22×C4—1181no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—1181no—
1416C22×C4—1181no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—1181no—
1421C22×C4—1181no—
1422C22×C4—1181no—
1423C22×C4—1181no—
1424C22×C4—1181no—
1425C22×C4—1181no—
1426C22×C4—4722no—
1427C22×C4—4722no—
1428C22×C4—2364no—
1429C22×C4C23×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431Q16—1182no—
1432Q16—2361no—
1433SD16—22no—
1434SD16—41no—
1435SD16—41no—
1436SD16—1182no—
1437SD16—1182no—
1438SD16—1182no—
1439SD16—2361no—
1440SD16—2361no—
1441D8—594no—
1442D8—1182no—
1443D8—1182no—
1444D8—1182no—
1445D8—1182no—
1446D8—2361no—
1447M16—41no—
1448M16—1182no—
1449C2×C8—41no—
1450C2×C8—591no—
1451C2×C8—591no—
1452C2×C8—591no—
1453C2×C8—591no—
1454C2×C8—1182no—
1455C2×C8—1182no—
1456C2×C8—2361no—
1457C2×C8C23×D5911yescharacteristic
1458C2×C8C23×D5911yescharacteristic
1459C2×C8C23×D5911yescharacteristic
1460C2×C8C23×D5911yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—591no—
1468C4⋊C4—591no—
1469C4⋊C4—591no—
1470C4⋊C4—591no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—591no—
1474C4⋊C4—591no—
1475C4⋊C4—591no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4—1181no—
1497C4⋊C4D4×D5911yescharacteristic
1498C4⋊C4C23×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C4⋊C4C23×D5911yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—591no—
1509C22⋊C4—591no—
1510C22⋊C4—591no—
1511C22⋊C4—591no—
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⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4D4×D5911yescharacteristic
1544C22⋊C4D4×D5911yescharacteristic
1545C42—21no—
1546C42—21no—
1547C42—591no—
1548C42—591no—
1549C42—591no—
1550C42—591no—
1551C42—591no—
1552C42—591no—
1553C42—591no—
1554C42—591no—
1555C42—591no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42—1181no—
1561C42—1181no—
1562C42—1181no—
1563C42C23×D5911yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—42no—
1568C23—42no—
1569C23—42no—
1570C23—42no—
1571C23—81no—
1572C23—81no—
1573C23—591no—
1574C23—1181no—
1575C23—1181no—
1576C23—4721no—
1577C23—2362no—
1578C23—2362no—
1579C23C2×D4×D5911yescharacteristic
1580C23C2×D4×D5911yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—1181no—
1584Q8—1181no—
1585Q8—1181no—
1586Q8—1181no—
1587Q8—4721no—
1588Q8—4721no—
1589Q8—2361no—
1590D4—22no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—42no—
1597D4—42no—
1598D4—42no—
1599D4—42no—
1600D4—42no—
1601D4—81no—
1602D4—592no—
1603D4—1182no—
1604D4—1181no—
1605D4—1181no—
1606D4—1181no—
1607D4—4721no—
1608D4—4721no—
1609D4—4721no—
1610D4—4721no—
1611D4—2362no—
1612D4—2362no—
1613D4—2361no—
1614D4—2362no—
1615D4—2362no—
1616D4#41×D5912yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—591no—
1629C2×C4—591no—
1630C2×C4—591no—
1631C2×C4—591no—
1632C2×C4—591no—
1633C2×C4—591no—
1634C2×C4—591no—
1635C2×C4—1182no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—4721no—
1645C2×C4—4721no—
1646C2×C4—4721no—
1647C2×C4—4721no—
1648C2×C4—4721no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—4721no—
1652C2×C4—2361no—
1653C2×C4—2361no—
1654C2×C4—2362no—
1655C2×C4—2362no—
1656C2×C4—2362no—
1657C2×C4—2362no—
1658C2×C4—2362no—
1659C2×C4—2362no—
1660C2×C4—2361no—
1661C2×C4—2361no—
1662C2×C4—2361no—
1663C2×C4—2362no—
1664C2×C4—2362no—
1665C2×C4—2362no—
1666C2×C4—2362no—
1667C2×C4C2×D4×D5911yescharacteristic
1668C2×C4C2×D4×D5911yescharacteristic
1669C2×C4C2×D4×D5911yescharacteristic
1670C2×C4C2×D4×D5911yescharacteristic
1671C2×C4C24×D5911yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—592no—
1677C8—1181no—
1678C8—1181no—
1679C8—1181no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—22no—
1685C22—21no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—84no—
1695C22—84no—
1696C22—1181no—
1697C22—1181no—
1698C22—1182no—
1699C22—1181no—
1700C22—4724no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22#1683819812yes—
1707C22C22×D4×D5911yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—1181no—
1718C4—1181no—
1719C4—1181no—
1720C4—1181no—
1721C4—1181no—
1722C4—1181no—
1723C4—1181no—
1724C4—2361no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4—2361no—
1729C4—2361no—
1730C4C2×#41×D5911yescharacteristic
1731C4#1683823711yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—42no—
1735C2—81no—
1736C2—81no—
1737C2—4721no—
1738C2—2361no—
1739C2—2362no—
1740C2#2143758011yescharacteristic
1741C2C2×#1683819811yescharacteristic
1742C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3310C2
socleC22×C59C23×D4
hypercenter#3310D59
hypocenterC59#61454
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #21437697C2semidirect
2. #21437661C2semidirect
3. #21437155C2semidirect
4. #21437053C2semidirect
5. #21436928C2semidirect
6. #21436844C2semidirect
7. #21436589C2semidirect
8. #21436551C2semidirect
9. #21436479C2semidirect
10. #21436253C2semidirect
11. #21436179C2semidirect
12. #21436067C2semidirect
13. #21435952C2semidirect
14. #21435927C2semidirect
15. #21435774C2semidirect
16. #21435619C2semidirect
17. #21435572C2semidirect
18. #21434818C2semidirect
19. #21434798C2semidirect
20. #21434793C2semidirect
21. #21434246C2semidirect
22. #21434235C2semidirect
23. #21434231C2semidirect
24. #21434210C2semidirect
25. #21434200C2semidirect
26. #21434190C2semidirect
27. #21433106C2semidirect
28. #21432900C2semidirect
29. #21432891C2semidirect
30. C2×#16837511C2semidirect
31. C59×#3310C2semidirect
35. #16838138C22semidirect
36. #16838124C22semidirect
37. #16838115C22semidirect
39. #16838109C22semidirect
40. #16838108C22semidirect
43. #16838104C22semidirect
45. #16838087C22semidirect
51. #16838054C22semidirect
55. #16838046C22semidirect
56. #16838043C22semidirect
57. #16837954C22semidirect
58. #16837950C22semidirect
59. #16837938C22semidirect
61. #16837937C22semidirect
65. #16837933C22semidirect
69. C4×#11745689C22semidirect
70. #16837870C22semidirect
72. C4×#11745687C22semidirect
75. C2×D4×Dic59C22semidirect
76. C2×#14273689C22semidirect
78. #16837812C22semidirect
79. #16837809C22semidirect
80. #16837803C22semidirect
81. #16837793C22semidirect
83. #16837783C22semidirect
84. #16837769C22semidirect
85. #16837762C22semidirect
86. #16837760C22semidirect
87. #16837758C22semidirect
88. #16837755C22semidirect
89. #16837745C22semidirect
90. #16837743C22semidirect
91. #16837738C22semidirect
92. #16837735C22semidirect
93. #16837732C22semidirect
94. #16837730C22semidirect
95. #16837728C22semidirect
96. #16837724C22semidirect
97. #16837724C22semidirect
98. #16837716C22semidirect
99. #16837708C22semidirect
100. #16837706C22semidirect
101. #16837705C22semidirect
102. #16837705C22semidirect
103. #16837701C22semidirect
104. #16837700C22semidirect
105. #16837700C22semidirect
106. #16837687C22semidirect
107. #16837683C22semidirect
108. #16837680C22semidirect
109. #16837680C22semidirect
110. #16837658C22semidirect
112. #16837648C22semidirect
113. #16837643C22semidirect
114. #16837641C22semidirect
115. #16837637C22semidirect
116. #16837637C22semidirect
117. #16837630C22semidirect
118. #16837630C22semidirect
120. #16837625C22semidirect
121. #16837623C22semidirect
123. #16837619C22semidirect
125. #16837616C22semidirect
126. #16837616C22semidirect
127. #16837616C22semidirect
128. #16837605C22semidirect
129. #16837605C22semidirect
131. #16837566C22semidirect
132. #16837565C22semidirect
133. #16837555C22semidirect
136. #16837546C22semidirect
137. #16837546C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
148. #16837511C22semidirect
149. #16837511C22semidirect
150. #16837511C22semidirect
151. #16837511C22semidirect
152. #16837511C22semidirect
153. #16837511C22semidirect
154. #16837508C22semidirect
155. #16837507C22semidirect
156. #16837506C22semidirect
157. #16837504C22semidirect
158. #16837503C22semidirect
159. #16837503C22semidirect
160. #16837503C22semidirect
161. #16837501C22semidirect
162. #16837501C22semidirect
163. #16837499C22semidirect
164. #16837499C22semidirect
165. #16837499C22semidirect
166. #16837493C22semidirect
167. #16837493C22semidirect
169. #16837482C22semidirect
170. #16837476C22semidirect
172. #16837471C22semidirect
173. C8×C22⋊D59C22semidirect
174. (C22⋊D59)⋊C8C22semidirect
175. #16837458C22semidirect
176. #16837456C22semidirect
177. #16837456C22semidirect
178. #16837445C22semidirect
179. #16837439C22semidirect
180. C2×#14273658C22semidirect
181. #16837404C22semidirect
182. #16837397C22semidirect
183. #16837395C22semidirect
184. C2×#14273649C22semidirect
185. M16×Dic59C22semidirect
186. C2×#14273637C22semidirect
187. #97×D59C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
193. C59×#478C22semidirect
194. C59×#468C22semidirect
196. C59×#460C22semidirect
198. C59×#450C22semidirect
199. C59×#440C22semidirect
201. C59×#418C22semidirect
617. #11745669#41semidirect
872. #3310D59semidirect
958. #490C2×D59semidirect
972. #482C2×D59semidirect
982. #478C2×D59semidirect
990. #468C2×D59semidirect
1009. #460C2×D59semidirect
1016. #450C2×D59semidirect
1048. #440C2×D59semidirect
1065. #418C2×D59semidirect
1074. C59#61454semidirect

Maximal subgroups

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

subgroupindex
#214376972
#214376612
#214371552
#214370532
#214369282
#214368442
#214365892
#214365512
#214364792
#214362532
#214361792
#214360672
#214359522
#214359272
#214357742
#214356192
#214355722
#214348182
#214347982
#214347932
#214342462
#214342352
#214342312
#214342102
#214342002
#214341902
#214331062
#214329002
#214328912
C2×#168375112
C59×#33102
#6145459