Finite Group Databasebeta

← #29470929

Subgroups — #29470929

Order 15104.

1918 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#21437702C211yesmaximal, characteristic, complemented
2#21437658C211yesmaximal, characteristic, complemented
3#21437087C211yesmaximal, characteristic, complemented
4#21436958C211yesmaximal, characteristic, complemented
5#21436751C211yesmaximal, characteristic, complemented
6#21436748C211yesmaximal, characteristic, complemented
7#21436720C211yesmaximal, characteristic, complemented
8#21436653C211yesmaximal, characteristic, complemented
9#21436649C211yesmaximal, characteristic, complemented
10#21436405C211yesmaximal, characteristic, complemented
11#21436336C211yesmaximal, characteristic, complemented
12#21436319C211yesmaximal, characteristic, complemented
13#21436310C211yesmaximal, characteristic, complemented
14#21436294C211yesmaximal, characteristic, complemented
15#21436290C211yesmaximal, characteristic, complemented
16#21435702C211yesmaximal, characteristic, complemented
17#21435700C211yesmaximal, characteristic, complemented
18#21435689C211yesmaximal, characteristic, complemented
19#21434828C211yesmaximal, characteristic, complemented
20#21434819C211yesmaximal, characteristic, complemented
21#21434811C211yesmaximal, characteristic, complemented
22#21434256C211yesmaximal, characteristic, complemented
23#21434238C211yesmaximal, characteristic, complemented
24#21434236C211yesmaximal, characteristic, complemented
25#21434209C211yesmaximal, characteristic, complemented
26#21434185C211yesmaximal, characteristic, complemented
27#21433113C211yesmaximal, characteristic, complemented
28#21432907C211yesmaximal, characteristic, complemented
29C4×#14273752C211yesmaximal, characteristic, complemented
30#21432901C211yesmaximal, characteristic, complemented
31C59×#3111C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic
33C2×#14273752C2211yescharacteristic
34C2×#14273751C2211yescharacteristic
35#16838134C2211yescharacteristic, complemented
36#16838124C2211yescharacteristic, complemented
37#16838115C2211yescharacteristic
38#16838111C2211yescharacteristic, complemented
39#16838110C2211yescharacteristic, complemented
40#16838108C2211yescharacteristic, complemented
41#16838105C2211yescharacteristic
42#16838104C2211yescharacteristic
43#16838103—21no—
44#16838101—21no—
45#16838093C2211yescharacteristic, complemented
46#16838091C2211yescharacteristic, complemented
47#16838085—21no—
48#16838081—21no—
49#16838077—21no—
50#16838076—21no—
51#16838075—21no—
52#16838051C2211yescharacteristic
53#16838047C2211yescharacteristic, complemented
54#16838045C2211yescharacteristic
55#16838044—21no—
56#16838043C2211yescharacteristic
57#16838040C2211yescharacteristic, complemented
58#16838036C2211yescharacteristic, complemented
59#16837956C2211yescharacteristic, complemented
60#16837949C2211yescharacteristic
61#16837939C2211yescharacteristic, complemented
62#16837939C2211yescharacteristic, complemented
63#16837936—21no—
64#16837936C2211yescharacteristic, complemented
65#16837932—21no—
66#16837930—21no—
67#16837914—21no—
68#16837911—21no—
69#16837911—21no—
70C4×#11745689C2211yescharacteristic
71C4×#11745685C2211yescharacteristic
72C4×#11745687C2211yescharacteristic, complemented
73C2×C4×D236C2211yescharacteristic, complemented
74C4×D4×D59—21no—
75C4×D4×D59C2211yescharacteristic, complemented
76C4×D4×D59C2211yescharacteristic, complemented
77C2×#14273684—21no—
78#16837806C2211yescharacteristic, complemented
79#16837802C2211yescharacteristic, complemented
80#16837801C2211yescharacteristic, complemented
81#16837787C2211yescharacteristic, complemented
82#16837784C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837759C2211yescharacteristic, complemented
85#16837758C2211yescharacteristic, complemented
86#16837758C2211yescharacteristic, complemented
87#16837756C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837746C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837742C2211yescharacteristic, complemented
93#16837733C2211yescharacteristic, complemented
94#16837731C2211yescharacteristic, complemented
95#16837729C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837708C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837704C2211yescharacteristic, complemented
103#16837703C2211yescharacteristic, complemented
104#16837703C2211yescharacteristic, complemented
105#16837700C2211yescharacteristic, complemented
106#16837695C2211yescharacteristic, complemented
107#16837691C2211yescharacteristic, complemented
108#16837691C2211yescharacteristic, complemented
109#16837690C2211yescharacteristic, complemented
110#16837658C2211yescharacteristic, complemented
111#16837657C2211yescharacteristic, complemented
112#16837656C2211yescharacteristic
113#16837653C2211yescharacteristic
114#16837651C2211yescharacteristic, complemented
115#16837651C2211yescharacteristic, complemented
116#16837651C2211yescharacteristic, complemented
117#16837650C2211yescharacteristic, complemented
118#16837649C2211yescharacteristic, complemented
119#16837647C2211yescharacteristic, complemented
120#16837646C2211yescharacteristic, complemented
121#16837645C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837620C2211yescharacteristic
124#16837619C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic, complemented
126#16837618C2211yescharacteristic
127#16837618C2211yescharacteristic, complemented
128#16837610C2211yescharacteristic, complemented
129#16837606C2211yescharacteristic, complemented
130#16837596C2211yescharacteristic
131#16837595C2211yescharacteristic
132#16837567C2211yescharacteristic
133#16837563C2211yescharacteristic
134#16837561C2211yescharacteristic, complemented
135#16837555C2211yescharacteristic, complemented
136#16837551C2211yescharacteristic, complemented
137#16837548C2211yescharacteristic
138#16837538C2211yescharacteristic
139#16837537C2211yescharacteristic
140#16837537C2211yescharacteristic, complemented
141#16837534C2211yescharacteristic, complemented
142#16837526C2211yescharacteristic, complemented
143#16837526C2211yescharacteristic, complemented
144#16837515C2211yescharacteristic
145#16837515C2211yescharacteristic, complemented
146#16837512C2211yescharacteristic
147#16837512C2211yescharacteristic, complemented
148#16837512C2211yescharacteristic, complemented
149#16837507C2211yescharacteristic, complemented
150#16837504C2211yescharacteristic, complemented
151#16837504C2211yescharacteristic, complemented
152#16837502C2211yescharacteristic, complemented
153#16837500C2211yescharacteristic, complemented
154#16837500C2211yescharacteristic, complemented
155#16837500C2211yescharacteristic, complemented
156#16837493C2211yescharacteristic, complemented
157SD16×Dic59C2211yescharacteristic, complemented
158C4×#11745671C2211yescharacteristic, complemented
159C4×#11745671C2211yescharacteristic, complemented
160#16837489C2211yescharacteristic, complemented
161#16837487C2211yescharacteristic, complemented
162D8×Dic59C2211yescharacteristic, complemented
163#16837484C2211yescharacteristic
164C4×#11745669C2211yescharacteristic
165C4×#11745669C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic
167#16837482C2211yescharacteristic
168#16837479C2211yescharacteristic, complemented
169#16837479C2211yescharacteristic, complemented
170#16837477C2211yescharacteristic, complemented
171#16837477C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837477C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837457C2211yescharacteristic, complemented
176#16837445C2211yescharacteristic, complemented
177#16837443C2211yescharacteristic, complemented
178#16837441C2211yescharacteristic, complemented
179#16837406C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837405C2211yescharacteristic, complemented
182#16837403C2211yescharacteristic, complemented
183#16837402C2211yescharacteristic
184#16837400C2211yescharacteristic, complemented
185C4×#11745664C2211yescharacteristic, complemented
186#16837354C2211yescharacteristic, complemented
187#16837354C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic, complemented
189C4×#41×C59C2211yescharacteristic, complemented
190C59×#485C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#479C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#452C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic
198C59×#442C2211yescharacteristic, complemented
199C59×#441C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#432C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685D411yescharacteristic
206C2×#11745687C2311yescharacteristic
207C22×D236C2311yescharacteristic
208C2×D4×D59—21no—
209C2×D4×D59C2311yescharacteristic
210C2×D4×D59C2311yescharacteristic
211C22×C4×D59—21no—
212C22×C4×D59—21no—
213C22×C4×D59—21no—
214#14273754—24no—
215#14273752—24no—
216#14273751—24no—
217C2×#11745672C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×D472C2311yescharacteristic
225C2×D472C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745664C2311yescharacteristic
230C2×#11745664C2311yescharacteristic
231C2×#11745659C2311yescharacteristic
232C2×#11745659C2311yescharacteristic
233C2×#11745659C2311yescharacteristic
234C2×#11745659C2311yescharacteristic
235#14273726C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273725C2311yescharacteristic
238#14273723C2311yescharacteristic
239#14273722—21no—
240#14273722—21no—
241#14273722—21no—
242#14273722—21no—
243#14273721—21no—
244#14273721—21no—
245#14273721—21no—
246#14273720—21no—
247#14273720—21no—
248#14273719—21no—
249#14273719C2311yescharacteristic
250#14273718C2311yescharacteristic
251#14273718C2311yescharacteristic
252#14273717—21no—
253#14273717—21no—
254#14273717—21no—
255#14273716C2311yescharacteristic
256#14273716C2311yescharacteristic
257#14273715—21no—
258#14273715C2311yescharacteristic
259#14273713—21no—
260#14273713—21no—
261#14273713—21no—
262#14273712—21no—
263#14273712—21no—
264#14273712—21no—
265#14273712—21no—
266#14273712—21no—
267#14273711—21no—
268#14273711—21no—
269#14273711—21no—
270#14273710—21no—
271#14273710—21no—
272#14273710—21no—
273#14273709—21no—
274#14273709—21no—
275#14273709—21no—
276#14273708—21no—
277#14273707—21no—
278#14273707—21no—
279#14273707C2311yescharacteristic
280#14273706—21no—
281#14273706C2311yescharacteristic
282#14273705—21no—
283#14273705—21no—
284#14273705—21no—
285#14273705—21no—
286#14273704—21no—
287#14273704—21no—
288#14273704—21no—
289#14273703C2311yescharacteristic
290#14273703C2311yescharacteristic
291#14273703C2311yescharacteristic
292#14273702—21no—
293#14273702—21no—
294#14273702C2311yescharacteristic
295#14273702C2311yescharacteristic
296#14273702C2311yescharacteristic
297#14273701—21no—
298#14273701C2311yescharacteristic
299#14273700—21no—
300#14273700—21no—
301#14273700—21no—
302#14273700—21no—
303#14273699—21no—
304#14273699—21no—
305#14273699—21no—
306#14273698C2311yescharacteristic
307#14273697—21no—
308#14273697—21no—
309#14273697—21no—
310#14273697—21no—
311#14273695—21no—
312#14273695—21no—
313Q8×Dic59C2311yescharacteristic
314C4×Dic118—21no—
315C4×Dic118D411yescharacteristic
316C4×Dic118C2311yescharacteristic
317C4×Dic118C2311yescharacteristic
318#14273692C2311yescharacteristic
319C4×D236—21no—
320C4×D236—21no—
321C4×D236—21no—
322C4×D236—21no—
323C4×D236—21no—
324C4×D236D411yescharacteristic
325C4×D236C2311yescharacteristic
326C4×D236C2311yescharacteristic
327C4×D236C2311yescharacteristic
328C4×D236C2311yescharacteristic
329C4×D236C2311yescharacteristic
330C4×D236C2311yescharacteristic
331D4×Dic59—21no—
332D4×Dic59C2311yescharacteristic
333D4×Dic59C2311yescharacteristic
334D4×Dic59C2311yescharacteristic
335#14273689—21no—
336#14273689—21no—
337#14273689C2311yescharacteristic
338#14273689C2311yescharacteristic
339#14273689C2311yescharacteristic
340C4×C22⋊D59—21no—
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59D411yescharacteristic
346C4×C22⋊D59D411yescharacteristic
347C4×C22⋊D59C2311yescharacteristic
348C4×C22⋊D59C2311yescharacteristic
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354#14273686D411yescharacteristic
355#14273685—21no—
356#14273685C2311yescharacteristic
357#14273685C2311yescharacteristic
358#14273684—21no—
359#14273684—21no—
360#14273684—21no—
361#14273684—21no—
362#14273684—21no—
363#14273684—21no—
364#14273684—21no—
365#14273684—21no—
366#14273684D411yescharacteristic
367#14273684D411yescharacteristic
368#14273683—21no—
369C2×C4⋊Dic59C2311yescharacteristic
370C2×Dic59⋊C4—21no—
371C2×Dic59⋊C4—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59C2311yescharacteristic
374C4⋊C4×D59C2311yescharacteristic
375C2×(C2×D59)⋊C4—21no—
376C2×(C2×D59)⋊C4—21no—
377C2×(C2×D59)⋊C4—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C2×C4×Dic59—21no—
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385C42×D59C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273638C2311yescharacteristic
431#14273638C2311yescharacteristic
432C4×C59⋊C8C2311yescharacteristic
433C4×C59⋊C8C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×#41×C59C2311yescharacteristic
439C2×Q16×C59C2311yescharacteristic
440C2×SD16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443#126×C59—21no—
444#125×C59C2311yescharacteristic
445#124×C59C2311yescharacteristic
446#123×C59—21no—
447C22⋊Q8×C59C2311yescharacteristic
448#121×C59C2311yescharacteristic
449C4×Q8×C59C2311yescharacteristic
450C4×Q8×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458#117×C59—21no—
459#117×C59—21no—
460#117×C59C2311yescharacteristic
461C2×C42×C59—21no—
462C2×C42×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483C23×D59—21no—
484#41×C59—22no—
485#41×C59—41no—
486C2×Q8×C59C2411yescharacteristic
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59C2411yescharacteristic
491C2×D4×C59C2411yescharacteristic
492C22×C4×C59—21no—
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59C2×D411yescharacteristic
497C22×C4×C59C2×D411yescharacteristic
498C22×C4×C59C2411yescharacteristic
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59C2×D411yescharacteristic
507C2×C22⋊D59C2×D411yescharacteristic
508C22×Dic59—21no—
509C22×Dic59—21no—
510C22×Dic59—21no—
511C22×Dic59—21no—
512C22×Dic59—21no—
513#11745689—22no—
514#11745689—41no—
515#11745687—22no—
516#11745687—41no—
517D4×D59—22no—
518D4×D59—22no—
519D4×D59—41no—
520D4×D59—41no—
521D4×D59—44no—
522#11745685—42no—
523#11745685—82no—
524C2×D236—22no—
525C2×D236—21no—
526C2×D236—21no—
527C2×D236—21no—
528C2×D236—21no—
529C2×D236—21no—
530C2×D236—41no—
531C2×D236C2×D411yescharacteristic
532C2×D236C2411yescharacteristic
533C2×D236C2411yescharacteristic
534C2×D236C2411yescharacteristic
535C2×C4×D59—21no—
536C2×C4×D59—21no—
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—44no—
547C2×C4×D59—82no—
548C2×C4×D59—82no—
549C2×C4×D59C2×D411yescharacteristic
550C2×C4×D59C2×D411yescharacteristic
551C2×C4×D59C2×D411yescharacteristic
552C2×C4×D59C2×D411yescharacteristic
553C2×C4×D59C2411yescharacteristic
554C2×C4×D59C2411yescharacteristic
555C2×Dic118—21no—
556C2×Dic118—21no—
557C2×Dic118C2×D411yescharacteristic
558C2×Dic118C2411yescharacteristic
559Q16×C59—41no—
560SD16×C59—22no—
561SD16×C59—41no—
562D8×C59—22no—
563C2×C8×C59C2411yescharacteristic
564C2×C8×C59C2411yescharacteristic
565C2×C8×C59C2411yescharacteristic
566C2×C8×C59C2411yescharacteristic
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59C2411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C4⋊C4×C59C2411yescharacteristic
576C4⋊C4×C59C2411yescharacteristic
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C42×C59—21no—
586C42×C59—21no—
587C42×C59—21no—
588C42×C59—21no—
589C42×C59C2×D411yescharacteristic
590C42×C59C2×D411yescharacteristic
591C42×C59C2411yescharacteristic
592C42×C59C2411yescharacteristic
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59C2×D411yescharacteristic
599C22⋊Dic59C2×D411yescharacteristic
600#11745672—41no—
601#11745671—22no—
602#11745671—22no—
603#11745671—22no—
604#11745670—22no—
605#11745669—22no—
606#11745669—41no—
607#11745669#4114yescomplemented
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)⋊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)⋊C4C2×D411yescharacteristic
633(C2×D59)⋊C4C2×D411yescharacteristic
634(C2×D59)⋊C4C2×D411yescharacteristic
635(C2×D59)⋊C4C2×D411yescharacteristic
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59—21no—
639C4⋊Dic59—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59C2×D411yescharacteristic
642C4⋊Dic59C2×D411yescharacteristic
643C4⋊Dic59C2411yescharacteristic
644C4⋊Dic59C2411yescharacteristic
645C4⋊Dic59C2411yescharacteristic
646C4⋊Dic59C2411yescharacteristic
647Dic59⋊C4—21no—
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⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4C2×D411yescharacteristic
664Dic59⋊C4C2×D411yescharacteristic
665Dic59⋊C4C2×D411yescharacteristic
666Dic59⋊C4C2×D411yescharacteristic
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×Dic59C2411yescharacteristic
677C4×Dic59C2411yescharacteristic
678#11745664—22no—
679#11745664—41no—
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684D472—22no—
685D472—41no—
686#11745660—22no—
687#11745660—41no—
688#11745659—22no—
689#11745659—22no—
690#11745659—41no—
691#11745659—41no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59C22×D411yescharacteristic
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—42no—
699C22×D59—42no—
700C22×D59—42no—
701C22×D59—42no—
702C22×D59—42no—
703C22×D59—42no—
704C22×D59—81no—
705C22×D59—81no—
706C22×D59—81no—
707C22×D59C22×D411yescharacteristic
708C22×D59C22×D411yescharacteristic
709Q8×C59—21no—
710Q8×C59—21no—
711Q8×C59—21no—
712Q8×C59—21no—
713D4×C59—21no—
714D4×C59—21no—
715D4×C59—21no—
716D4×C59—42no—
717D4×C59—42no—
718D4×C59C2×#4112yes—
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—41no—
728C2×C4×C59—41no—
729C2×C4×C59—42no—
730C2×C4×C59—42no—
731C2×C4×C59—42no—
732C2×C4×C59—81no—
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C22×D411yescharacteristic
737C2×C4×C59C22×D411yescharacteristic
738C2×C4×C59C2511yescharacteristic
739C22⋊D59—22no—
740C22⋊D59—41no—
741C22⋊D59—42no—
742C22⋊D59—42no—
743C22⋊D59—42no—
744C22⋊D59—42no—
745C22⋊D59—81no—
746C22⋊D59—81no—
747C22⋊D59—81no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—42no—
754C2×Dic59—42no—
755C2×Dic59—81no—
756C2×Dic59—81no—
757C2×Dic59—81no—
758C2×Dic59C22×D411yescharacteristic
759C2×Dic59C22×D411yescharacteristic
760C2×Dic59C22×D411yescharacteristic
761C2×Dic59C22×D411yescharacteristic
762C2×Dic59C22×D411yescharacteristic
763C2×Dic59C22×D411yescharacteristic
764D236—21no—
765D236—21no—
766D236—21no—
767D236—21no—
768D236—21no—
769D236—41no—
770D236—42no—
771D236—42no—
772D236—42no—
773D236—81no—
774D236—81no—
775D236C2×#4112yes—
776C4×D59—21no—
777C4×D59—21no—
778C4×D59—21no—
779C4×D59—21no—
780C4×D59—22no—
781C4×D59—41no—
782C4×D59—41no—
783C4×D59—41no—
784C4×D59—42no—
785C4×D59—42no—
786C4×D59—42no—
787C4×D59—42no—
788C4×D59—42no—
789C4×D59—42no—
790C4×D59—42no—
791C4×D59—81no—
792C4×D59—81no—
793C4×D59—81no—
794C4×D59—81no—
795Dic118—22no—
796Dic118—21no—
797Dic118—21no—
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#61464—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—22no—
811C22×C59—21no—
812C22×C59—21no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59C23×D411yescharacteristic
819C2×D59—21no—
820C2×D59—21no—
821C2×D59—21no—
822C2×D59—21no—
823C2×D59—22no—
824C2×D59—21no—
825C2×D59—21no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—84no—
835C2×D59—84no—
836C2×D59—84no—
837C4×C59—21no—
838C4×C59—21no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—21no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59—41no—
846C4×C59—41no—
847C4×C59—41no—
848C4×C59C22×#4111yescharacteristic
849C4×C59#58511yescharacteristic
850Dic59—21no—
851Dic59—21no—
852Dic59—21no—
853Dic59—21no—
854Dic59—21no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860Dic59#57512yes—
861#3481—591no—
862#3475—591no—
863#3394—591no—
864#3380—591no—
865#3361—591no—
866#3360—591no—
867#3357—591no—
868#3351—591no—
869#3351—591no—
870#3331—591no—
871#3325—591no—
872#3323—591no—
873#3323—591no—
874#3322—591no—
875#3322—591no—
876#3273—591no—
877#3273—591no—
878#3272—591no—
879#3183—591no—
880#3183—591no—
881#3182—591no—
882#3116—591no—
883#3114—591no—
884#3114—591no—
885#3111—591no—
886#3111D5911yescharacteristic, complemented
887#3109—591no—
888#2971—591no—
889C4×AGL(1,ℤ/8)—591no—
890C4×AGL(1,ℤ/8)—591no—
891C4×AGL(1,ℤ/8)—591no—
892C2×C59—41no—
893C2×C59—42no—
894C2×C59—81no—
895C2×C59D4×#4111yescharacteristic
896C2×C59C2×#57511yescharacteristic
897C2×C59#358511yescharacteristic
898D59—41no—
899D59—41no—
900D59—42no—
901D59—81no—
902D59—81no—
903C2×AGL(1,ℤ/8)—591no—
904C2×AGL(1,ℤ/8)—591no—
905C2×AGL(1,ℤ/8)—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—591no—
918#552—1181no—
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—
929D42—591no—
930#533—591no—
931#532—591no—
932#529—591no—
933#529—591no—
934#529—591no—
935#529—1181no—
936#529—1181no—
937#529—1181no—
938#529C2×D5911yescharacteristic, complemented
939#525—1181no—
940#525—1181no—
941#525—1181no—
942C4×#41—591no—
943C4×#41—591no—
944C4×#41—591no—
945C4×#41C2×D5911yescharacteristic, complemented
946C2×C4×D4—591no—
947C2×C4×D4—591no—
948C2×C4×D4—591no—
949C2×C4×D4—1181no—
950C2×#117—1181no—
951#500—591no—
952#499—591no—
953#499—591no—
954#495—591no—
955#495—591no—
956#492—591no—
957#488—591no—
958#488—591no—
959#488—591no—
960#488—591no—
961#487—591no—
962#486—591no—
963#485—591no—
964#485—591no—
965#485—591no—
966#485C2×D5911yescharacteristic, complemented
967#483—591no—
968#483—591no—
969#482—591no—
970#482C2×D5911yescharacteristic, complemented
971#481—591no—
972#481—591no—
973#480—591no—
974#480—591no—
975#479—591no—
976#479C2×D5911yescharacteristic, complemented
977#478—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#478C2×D5911yescharacteristic, complemented
983#477—591no—
984#476—591no—
985#476—591no—
986#476—591no—
987#470—591no—
988#470—591no—
989#469—591no—
990#469—591no—
991#468—591no—
992#468—591no—
993#468—591no—
994#468—591no—
995#468—591no—
996#468—591no—
997#468—591no—
998#468—591no—
999#464—591no—
1000#464C2×D5911yescharacteristic, complemented
1001#463—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463—591no—
1006#463C2×D5911yescharacteristic, complemented
1007#462—591no—
1008#461—591no—
1009#459—591no—
1010#459—591no—
1011#452—591no—
1012#452—591no—
1013#452—591no—
1014#452C2×D5911yescharacteristic, complemented
1015#450—591no—
1016#450—591no—
1017#449—591no—
1018#449C2×D5911yescharacteristic
1019#447—591no—
1020#447—591no—
1021#447—591no—
1022#447—591no—
1023C8×Q8—591no—
1024C8×Q8—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442—591no—
1030#442C2×D5911yescharacteristic, complemented
1031#441—591no—
1032#441C2×D5911yescharacteristic, complemented
1033#440—591no—
1034#440—591no—
1035#440—591no—
1036#440—591no—
1037#440—591no—
1038#440—591no—
1039#440C2×D5911yescharacteristic, complemented
1040#440C2×D5911yescharacteristic, complemented
1041C4×SD16—591no—
1042C4×SD16—591no—
1043C4×SD16—591no—
1044C4×SD16—591no—
1045C4×SD16—591no—
1046C4×SD16—591no—
1047C4×D8—591no—
1048C4×D8—591no—
1049C4×D8—591no—
1050C4×D8—591no—
1051C4×D8—591no—
1052C4×D8—591no—
1053#436—591no—
1054#436—591no—
1055#436—591no—
1056#436—591no—
1057#436—591no—
1058#436—591no—
1059#432—591no—
1060#432—591no—
1061#432C2×D5911yescharacteristic, complemented
1062#428—591no—
1063#428—591no—
1064#428—591no—
1065#418—591no—
1066#418—591no—
1067#418—591no—
1068#417—591no—
1069#417—591no—
1070#417—591no—
1071C4×M16—591no—
1072C4×M16—591no—
1073C4×M16—591no—
1074C59#6146411yescharacteristic, complemented, Sylow
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—591no—
1078C2×#41—1181no—
1079C2×#41C22×D5911yescharacteristic
1080C22×D4—591no—
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—1181no—
1084C23×C4—1181no—
1085C23×C4—1181no—
1086C23×C4—1181no—
1087AGL(1,ℤ/8)—1184no—
1088AGL(1,ℤ/8)—1184no—
1089AGL(1,ℤ/8)—1184no—
1090C2×Q16—591no—
1091C2×Q16C22×D5911yescharacteristic
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—591no—
1097C2×SD16—591no—
1098C2×SD16C22×D5911yescharacteristic
1099C2×SD16C22×D5911yescharacteristic
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8—591no—
1105C2×D8C22×D5911yescharacteristic
1106C2×M16—591no—
1107C2×M16—591no—
1108C2×M16—591no—
1109C2×M16—591no—
1110C2×M16—591no—
1111C2×M16—591no—
1112C4⋊Q8—591no—
1113C4⋊Q8—591no—
1114C4⋊Q8—591no—
1115#127—591no—
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—591no—
1127#125—591no—
1128#125—591no—
1129#125—1181no—
1130#125—1181no—
1131#125—1181no—
1132#125—1181no—
1133#125C22×D5911yescharacteristic
1134#124—591no—
1135#124—591no—
1136#124—591no—
1137#124—1181no—
1138#124—1181no—
1139#124—1181no—
1140#124—1181no—
1141#124C22×D5911yescharacteristic
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—591no—
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⋊Q8—1181no—
1173C22⋊Q8C22×D5911yescharacteristic
1174#121—591no—
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#121—1181no—
1189#121C22×D5911yescharacteristic
1190#120—1181no—
1191#120—1181no—
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—1181no—
1202C4×Q8C22×D5911yescharacteristic
1203C4×Q8C22×D5911yescharacteristic
1204C4×Q8C22×D5911yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
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—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×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4C22×D5911yescharacteristic
1244C4×D4C22×D5911yescharacteristic
1245C4×D4C22×D5911yescharacteristic
1246#117—21no—
1247#117—21no—
1248#117—591no—
1249#117—591no—
1250#117—591no—
1251#117—591no—
1252#117—591no—
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—591no—
1267C2×C4⋊C4—1181no—
1268C2×C4⋊C4—1181no—
1269C2×C4⋊C4—1181no—
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—21no—
1278C2×C42—591no—
1279C2×C42—591no—
1280C2×C42—1181no—
1281C2×C42—1181no—
1282C2×C42C22×D5911yescharacteristic
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#106C22×D5911yescharacteristic
1298#106C22×D5911yescharacteristic
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8C22×D5911yescharacteristic
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#103C22×D5911yescharacteristic
1314#103C22×D5911yescharacteristic
1315#103C22×D5911yescharacteristic
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#102—591no—
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
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#97C22×D5911yescharacteristic
1346#97C22×D5911yescharacteristic
1347C4×C8—591no—
1348C4×C8—591no—
1349C4×C8—591no—
1350C4×C8—591no—
1351C4×C8—591no—
1352C4×C8—591no—
1353C24—1181no—
1354C24—1181no—
1355C24—1181no—
1356#41—22no—
1357#41—41no—
1358#41—1182no—
1359#41—1182no—
1360#41—4722no—
1361#41—2362no—
1362#41—2361no—
1363#41—2361no—
1364C2×Q8—591no—
1365C2×Q8—591no—
1366C2×Q8—1181no—
1367C2×Q8—1181no—
1368C2×Q8C23×D5911yescharacteristic
1369C2×Q8C23×D5911yescharacteristic
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—591no—
1373C2×D4—591no—
1374C2×D4—591no—
1375C2×D4—591no—
1376C2×D4—591no—
1377C2×D4—591no—
1378C2×D4—1182no—
1379C2×D4—1181no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—1181no—
1387C2×D4—1182no—
1388C2×D4—1182no—
1389C2×D4—1181no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—1181no—
1393C2×D4—2361no—
1394C2×D4—2361no—
1395C2×D4—2361no—
1396C2×D4—2364no—
1397C2×D4C23×D5911yescharacteristic
1398C2×D4C23×D5911yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
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—4722no—
1426C22×C4—4722no—
1427C22×C4—2364no—
1428C22×C4D4×D5911yescharacteristic
1429C22×C4D4×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431Q16—41no—
1432Q16—2361no—
1433SD16—22no—
1434SD16—41no—
1435SD16—1182no—
1436SD16—1182no—
1437SD16—1182no—
1438SD16—1182no—
1439SD16—1182no—
1440SD16—2361no—
1441D8—22no—
1442D8—594no—
1443D8—1182no—
1444D8—1182no—
1445D8—2361no—
1446D8—2361no—
1447M16—1182no—
1448M16—1182no—
1449M16—1182no—
1450M16—2361no—
1451M16—2361no—
1452M16—2361no—
1453C2×C8—591no—
1454C2×C8—591no—
1455C2×C8—591no—
1456C2×C8—591no—
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—591no—
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⋊C4—1181no—
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—21no—
1509C22⋊C4—21no—
1510C22⋊C4—591no—
1511C22⋊C4—591no—
1512C22⋊C4—591no—
1513C22⋊C4—591no—
1514C22⋊C4—591no—
1515C22⋊C4—591no—
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⋊C4—1181no—
1544C22⋊C4—1181no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—591no—
1550C42—591no—
1551C42—591no—
1552C42—591no—
1553C42—591no—
1554C42—591no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42D4×D5911yescharacteristic
1561C42D4×D5911yescharacteristic
1562C42C23×D5911yescharacteristic
1563C42C23×D5911yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—591no—
1567C23—591no—
1568C23—1181no—
1569C23—1181no—
1570C23—1181no—
1571C23—4721no—
1572C23—4721no—
1573C23—4721no—
1574C23—2362no—
1575C23—2362no—
1576C23—2362no—
1577C23—2362no—
1578C23—2362no—
1579C23—2362no—
1580C23C2×D4×D5911yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—1182no—
1586Q8—1181no—
1587Q8—1181no—
1588Q8—4721no—
1589Q8—4721no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—42no—
1594D4—42no—
1595D4—592no—
1596D4—1182no—
1597D4—1181no—
1598D4—1181no—
1599D4—1181no—
1600D4—1181no—
1601D4—1181no—
1602D4—4721no—
1603D4—4721no—
1604D4—4721no—
1605D4—4721no—
1606D4—4721no—
1607D4—2361no—
1608D4—2362no—
1609D4—2362no—
1610D4—2362no—
1611D4—2362no—
1612D4—2361no—
1613D4—2362no—
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—41no—
1626C2×C4—41no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—81no—
1631C2×C4—591no—
1632C2×C4—591no—
1633C2×C4—591no—
1634C2×C4—591no—
1635C2×C4—591no—
1636C2×C4—591no—
1637C2×C4—1182no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—4721no—
1648C2×C4—4721no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—4721no—
1652C2×C4—4721no—
1653C2×C4—4721no—
1654C2×C4—2361no—
1655C2×C4—2361no—
1656C2×C4—2361no—
1657C2×C4—2362no—
1658C2×C4—2362no—
1659C2×C4—2362no—
1660C2×C4—2362no—
1661C2×C4—2362no—
1662C2×C4—2362no—
1663C2×C4—2362no—
1664C2×C4—2362no—
1665C2×C4—2362no—
1666C2×C4C2×D4×D5911yescharacteristic
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—22no—
1683C22—21no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—1181no—
1690C22—1181no—
1691C22—1181no—
1692C22—1181no—
1693C22—1182no—
1694C22—1181no—
1695C22—1181no—
1696C22—4724no—
1697C22—4724no—
1698C22—4724no—
1699C22—2361no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22—2361no—
1707C22C22×D4×D5911yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—592no—
1720C4—1181no—
1721C4—1181no—
1722C4—1181no—
1723C4—1181no—
1724C4—1181no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4—2361no—
1729C4—2361no—
1730C4C2×#41×D5911yescharacteristic
1731C4#1683823811yescharacteristic
1732C2—41no—
1733C2—42no—
1734C2—81no—
1735C2—4721no—
1736C2—4721no—
1737C2—2361no—
1738C2—2361no—
1739C2—2362no—
1740C2#2143757911yescharacteristic
1741C2#575×D5911yescharacteristic
1742C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3111C2
socleC22×C59C23×D4
hypercenter#3111D59
hypocenterC59#61464
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #21437702C2semidirect
2. #21437658C2semidirect
3. #21437087C2semidirect
4. #21436958C2semidirect
5. #21436751C2semidirect
6. #21436748C2semidirect
7. #21436720C2semidirect
8. #21436653C2semidirect
9. #21436649C2semidirect
10. #21436405C2semidirect
11. #21436336C2semidirect
12. #21436319C2semidirect
13. #21436310C2semidirect
14. #21436294C2semidirect
15. #21436290C2semidirect
16. #21435702C2semidirect
17. #21435700C2semidirect
18. #21435689C2semidirect
19. #21434828C2semidirect
20. #21434819C2semidirect
21. #21434811C2semidirect
22. #21434256C2semidirect
23. #21434238C2semidirect
24. #21434236C2semidirect
25. #21434209C2semidirect
26. #21434185C2semidirect
27. #21433113C2semidirect
28. #21432907C2semidirect
29. C4×#14273752C2semidirect
30. #21432901C2semidirect
31. C59×#3111C2semidirect
35. #16838134C22semidirect
36. #16838124C22semidirect
38. #16838111C22semidirect
39. #16838110C22semidirect
40. #16838108C22semidirect
45. #16838093C22semidirect
46. #16838091C22semidirect
53. #16838047C22semidirect
57. #16838040C22semidirect
58. #16838036C22semidirect
59. #16837956C22semidirect
61. #16837939C22semidirect
62. #16837939C22semidirect
64. #16837936C22semidirect
72. C4×#11745687C22semidirect
73. C2×C4×D236C22semidirect
75. C4×D4×D59C22semidirect
76. C4×D4×D59C22semidirect
78. #16837806C22semidirect
79. #16837802C22semidirect
80. #16837801C22semidirect
81. #16837787C22semidirect
82. #16837784C22semidirect
83. #16837773C22semidirect
84. #16837759C22semidirect
85. #16837758C22semidirect
86. #16837758C22semidirect
87. #16837756C22semidirect
88. #16837751C22semidirect
89. #16837747C22semidirect
90. #16837746C22semidirect
91. #16837742C22semidirect
92. #16837742C22semidirect
93. #16837733C22semidirect
94. #16837731C22semidirect
95. #16837729C22semidirect
96. #16837722C22semidirect
97. #16837719C22semidirect
98. #16837717C22semidirect
99. #16837716C22semidirect
100. #16837708C22semidirect
101. #16837705C22semidirect
102. #16837704C22semidirect
103. #16837703C22semidirect
104. #16837703C22semidirect
105. #16837700C22semidirect
106. #16837695C22semidirect
107. #16837691C22semidirect
108. #16837691C22semidirect
109. #16837690C22semidirect
110. #16837658C22semidirect
111. #16837657C22semidirect
114. #16837651C22semidirect
115. #16837651C22semidirect
116. #16837651C22semidirect
117. #16837650C22semidirect
118. #16837649C22semidirect
119. #16837647C22semidirect
120. #16837646C22semidirect
121. #16837645C22semidirect
122. #16837627C22semidirect
124. #16837619C22semidirect
125. #16837619C22semidirect
127. #16837618C22semidirect
128. #16837610C22semidirect
129. #16837606C22semidirect
134. #16837561C22semidirect
135. #16837555C22semidirect
136. #16837551C22semidirect
140. #16837537C22semidirect
141. #16837534C22semidirect
142. #16837526C22semidirect
143. #16837526C22semidirect
145. #16837515C22semidirect
147. #16837512C22semidirect
148. #16837512C22semidirect
149. #16837507C22semidirect
150. #16837504C22semidirect
151. #16837504C22semidirect
152. #16837502C22semidirect
153. #16837500C22semidirect
154. #16837500C22semidirect
155. #16837500C22semidirect
156. #16837493C22semidirect
157. SD16×Dic59C22semidirect
158. C4×#11745671C22semidirect
159. C4×#11745671C22semidirect
160. #16837489C22semidirect
161. #16837487C22semidirect
162. D8×Dic59C22semidirect
165. C4×#11745669C22semidirect
168. #16837479C22semidirect
169. #16837479C22semidirect
170. #16837477C22semidirect
171. #16837477C22semidirect
172. #16837477C22semidirect
173. #16837477C22semidirect
174. #16837457C22semidirect
175. #16837457C22semidirect
176. #16837445C22semidirect
177. #16837443C22semidirect
178. #16837441C22semidirect
179. #16837406C22semidirect
180. #16837405C22semidirect
181. #16837405C22semidirect
182. #16837403C22semidirect
184. #16837400C22semidirect
185. C4×#11745664C22semidirect
186. #16837354C22semidirect
187. #16837354C22semidirect
188. C59×#529C22semidirect
189. C4×#41×C59C22semidirect
190. C59×#485C22semidirect
191. C59×#482C22semidirect
192. C59×#479C22semidirect
193. C59×#478C22semidirect
194. C59×#464C22semidirect
195. C59×#463C22semidirect
196. C59×#452C22semidirect
198. C59×#442C22semidirect
199. C59×#441C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C59×#432C22semidirect
607. #11745669#41semidirect
886. #3111D59semidirect
938. #529C2×D59semidirect
945. C4×#41C2×D59semidirect
966. #485C2×D59semidirect
970. #482C2×D59semidirect
976. #479C2×D59semidirect
982. #478C2×D59semidirect
1000. #464C2×D59semidirect
1006. #463C2×D59semidirect
1014. #452C2×D59semidirect
1030. #442C2×D59semidirect
1032. #441C2×D59semidirect
1039. #440C2×D59semidirect
1040. #440C2×D59semidirect
1061. #432C2×D59semidirect
1074. C59#61464semidirect

Maximal subgroups

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

subgroupindex
#214377022
#214376582
#214370872
#214369582
#214367512
#214367482
#214367202
#214366532
#214366492
#214364052
#214363362
#214363192
#214363102
#214362942
#214362902
#214357022
#214357002
#214356892
#214348282
#214348192
#214348112
#214342562
#214342382
#214342362
#214342092
#214341852
#214331132
#214329072
C4×#142737522
#214329012
C59×#31112
#6146459