Finite Group Databasebeta

← #29471161

Subgroups — #29471161

Order 15104.

1900 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438053C211yesmaximal, characteristic, complemented
2#21438044C211yesmaximal, characteristic, complemented
3#21437103C211yesmaximal, characteristic, complemented
4#21436946C211yesmaximal, characteristic, complemented
5#21436889C211yesmaximal, characteristic, complemented
6#21436885C211yesmaximal, characteristic, complemented
7#21436521C211yesmaximal, characteristic, complemented
8#21436514C211yesmaximal, characteristic, complemented
9#21436513C211yesmaximal, characteristic, complemented
10#21436323C211yesmaximal, characteristic, complemented
11#21436322C211yesmaximal, characteristic, complemented
12#21436258C211yesmaximal, characteristic, complemented
13#21436254C211yesmaximal, characteristic, complemented
14#21436248C211yesmaximal, characteristic, complemented
15#21435779C211yesmaximal, characteristic, complemented
16#21435777C211yesmaximal, characteristic, complemented
17#21435766C211yesmaximal, characteristic, complemented
18#21434734C211yesmaximal, characteristic, complemented
19#21434730C211yesmaximal, characteristic, complemented
20#21434670C211yesmaximal, characteristic, complemented
21#21434287C211yesmaximal, characteristic, complemented
22#21434283C211yesmaximal, characteristic, complemented
23#21434277C211yesmaximal, characteristic, complemented
24#21434273C211yesmaximal, characteristic, complemented
25#21434242C211yesmaximal, characteristic, complemented
26#21434240C211yesmaximal, characteristic, complemented
27#21433066C211yesmaximal, characteristic, complemented
28#21432945C211yesmaximal, characteristic, complemented
29#21432944C211yesmaximal, characteristic, complemented
30#21432864C211yesmaximal, characteristic, complemented
31C59×#3319C211yesmaximal, characteristic, complemented
32C2×#14273747C2211yescharacteristic
33C22×#11745669C2211yescharacteristic
34C2×D8×D59C2211yescharacteristic
35#16838135C2211yescharacteristic, complemented
36#16838134C2211yescharacteristic, complemented
37#16838123C2211yescharacteristic
38#16838120C2211yescharacteristic
39#16838117C2211yescharacteristic, complemented
40#16838116C2211yescharacteristic, complemented
41#16838115C2211yescharacteristic, complemented
42#16838082—21no—
43#16838078—21no—
44#16838076—21no—
45#16838075—21no—
46D4×Dic118C2211yescharacteristic, complemented
47#16838067C2211yescharacteristic, complemented
48#16838060—21no—
49#16838058—21no—
50#16838049C2211yescharacteristic, complemented
51#16838048C2211yescharacteristic, complemented
52#16838041—21no—
53#16838040C2211yescharacteristic, complemented
54#16838039—21no—
55#16838036C2211yescharacteristic
56D4×C22⋊D59C2211yescharacteristic
57#16838026C2211yescharacteristic, complemented
58#16838025C2211yescharacteristic, complemented
59#16838021C2211yescharacteristic, complemented
60#16838019C2211yescharacteristic, complemented
61#16837989—21no—
62#16837987—21no—
63#16837986—21no—
64#16837984—21no—
65#16837947C2211yescharacteristic, complemented
66#16837947C2211yescharacteristic, complemented
67#16837932C2211yescharacteristic
68#16837930—21no—
69#16837929—21no—
70C2×#14273713—21no—
71#124×D59—21no—
72#16837877C2211yescharacteristic, complemented
73#16837876C2211yescharacteristic, complemented
74#16837874C2211yescharacteristic, complemented
75#16837874C2211yescharacteristic, complemented
76#41×Dic59C2211yescharacteristic, complemented
77#16837870C2211yescharacteristic, complemented
78#16837806C2211yescharacteristic, complemented
79#16837806C2211yescharacteristic, complemented
80#16837805C2211yescharacteristic, complemented
81#16837784C2211yescharacteristic, complemented
82#16837783C2211yescharacteristic, complemented
83#16837777C2211yescharacteristic
84#16837763C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837745C2211yescharacteristic, complemented
90#16837744C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837729C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837726C2211yescharacteristic, complemented
95#16837726C2211yescharacteristic, complemented
96#16837724C2211yescharacteristic, complemented
97#16837723C2211yescharacteristic, complemented
98#16837723C2211yescharacteristic, complemented
99#16837692C2211yescharacteristic, complemented
100#16837691C2211yescharacteristic, complemented
101#16837690C2211yescharacteristic, complemented
102#16837689C2211yescharacteristic, complemented
103#16837686C2211yescharacteristic, complemented
104#16837685C2211yescharacteristic, complemented
105#16837683C2211yescharacteristic, complemented
106#16837681C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic, complemented
108#16837680C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837648C2211yescharacteristic, complemented
112#16837647C2211yescharacteristic, complemented
113#16837642C2211yescharacteristic, complemented
114#16837641C2211yescharacteristic, complemented
115#16837638C2211yescharacteristic, complemented
116#16837637C2211yescharacteristic
117#16837636C2211yescharacteristic
118#16837636C2211yescharacteristic, complemented
119#16837636C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837617C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic, complemented
127#16837601C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837596C2211yescharacteristic
130#16837595C2211yescharacteristic
131#16837554C2211yescharacteristic, complemented
132#16837553C2211yescharacteristic, complemented
133#16837552C2211yescharacteristic, complemented
134#16837551C2211yescharacteristic, complemented
135#16837549C2211yescharacteristic, complemented
136#16837547C2211yescharacteristic, complemented
137#16837545C2211yescharacteristic, complemented
138#16837538C2211yescharacteristic
139#16837537C2211yescharacteristic
140#16837534C2211yescharacteristic
141#16837530C2211yescharacteristic, complemented
142#16837526C2211yescharacteristic, complemented
143#16837515C2211yescharacteristic, complemented
144#16837514C2211yescharacteristic, complemented
145#16837513C2211yescharacteristic, complemented
146#16837511C2211yescharacteristic, complemented
147#16837511C2211yescharacteristic, complemented
148#16837511C2211yescharacteristic, complemented
149#16837511C2211yescharacteristic, complemented
150#16837505C2211yescharacteristic, complemented
151#16837503C2211yescharacteristic, complemented
152#16837501C2211yescharacteristic, complemented
153#16837499C2211yescharacteristic, complemented
154#16837494C2211yescharacteristic, complemented
155#16837494C2211yescharacteristic, complemented
156#16837493C2211yescharacteristic, complemented
157#16837493C2211yescharacteristic, complemented
158#16837487C2211yescharacteristic, complemented
159#16837487C2211yescharacteristic, complemented
160D8×Dic59C2211yescharacteristic, complemented
161#16837484C2211yescharacteristic, complemented
162C4×#11745669C2211yescharacteristic
163C4×#11745669C2211yescharacteristic, complemented
164#16837482C2211yescharacteristic
165#16837482C2211yescharacteristic
166#16837482C2211yescharacteristic
167#16837482C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837482C2211yescharacteristic, complemented
170#16837478C2211yescharacteristic
171#16837473C2211yescharacteristic, complemented
172D4×C59⋊C8C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic
174(C22⋊D59)⋊C8C2211yescharacteristic, complemented
175#16837462C2211yescharacteristic, complemented
176#16837460C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837438C2211yescharacteristic, complemented
179#16837438C2211yescharacteristic, complemented
180#16837437C2211yescharacteristic, complemented
181#16837408C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837399C2211yescharacteristic, complemented
185#16837360C2211yescharacteristic, complemented
186#16837359C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C59×#555C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic, complemented
190C59×#489C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#482C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#466C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687—21no—
206C22×Dic118—21no—
207C2×Q8×D59—21no—
208C22×D236C2311yescharacteristic
209C22×C22⋊D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59C2311yescharacteristic
212C2×D4×D59C2311yescharacteristic
213#14273747—24no—
214C2×#11745672C2311yescharacteristic
215C2×#11745660C2311yescharacteristic
216C2×#11745670C2311yescharacteristic
217C2×#11745670C2311yescharacteristic
218C2×#11745671C2311yescharacteristic
219C2×#11745671C2311yescharacteristic
220C2×D472C2311yescharacteristic
221C2×D472C2311yescharacteristic
222C2×#11745669—24no—
223C2×#11745669C2311yescharacteristic
224C2×#11745669C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228D8×D59—24no—
229C2×#11745659C2311yescharacteristic
230C22×C59⋊C8C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232C2×C8×D59C2311yescharacteristic
233#14273727C2311yescharacteristic
234#14273726C2311yescharacteristic
235#14273726C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273723C2311yescharacteristic
239#14273723C2311yescharacteristic
240#14273722—21no—
241#14273722—21no—
242#14273722—21no—
243#14273722D411yescharacteristic
244#14273721—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273720—21no—
249#14273720D411yescharacteristic
250#14273717D411yescharacteristic
251#14273716—21no—
252#14273716C2311yescharacteristic
253#14273715—21no—
254#14273715C2311yescharacteristic
255#14273714—21no—
256#14273714—21no—
257#14273714C2311yescharacteristic
258#14273713—21no—
259#14273713—21no—
260#14273713—21no—
261#14273713—21no—
262#14273713—21no—
263#14273713—21no—
264#14273713—21no—
265#14273713—21no—
266#14273713—21no—
267#14273713—21no—
268#14273713—21no—
269#14273713—21no—
270#14273713D411yescharacteristic
271#14273712—21no—
272#14273712—21no—
273#14273711—21no—
274#14273711—21no—
275#14273711D411yescharacteristic
276#14273710—21no—
277#14273710—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709—21no—
282#14273708—21no—
283#14273708D411yescharacteristic
284#14273707—21no—
285#14273707C2311yescharacteristic
286#14273706—21no—
287#14273706C2311yescharacteristic
288#14273705—21no—
289#14273705—21no—
290#14273704—21no—
291#14273704—21no—
292#14273704—21no—
293#14273704—21no—
294#14273704D411yescharacteristic
295#14273703—21no—
296#14273703—21no—
297#14273703C2311yescharacteristic
298#14273702C2311yescharacteristic
299#14273701C2311yescharacteristic
300#14273701C2311yescharacteristic
301#14273701C2311yescharacteristic
302#14273700—21no—
303#14273700—21no—
304#14273700—21no—
305#14273699—21no—
306#14273699—21no—
307#14273699—21no—
308#14273699—21no—
309#14273699—21no—
310#14273699D411yescharacteristic
311#14273698—21no—
312#14273698—21no—
313#14273698C2311yescharacteristic
314#14273697—21no—
315#14273696—21no—
316#14273695—21no—
317#14273695—21no—
318#14273695—21no—
319#14273695—21no—
320#14273695—21no—
321Q8×Dic59C2311yescharacteristic
322Q8×Dic59C2311yescharacteristic
323C4×Dic118—21no—
324C4×Dic118C2311yescharacteristic
325#14273692—21no—
326#14273692C2311yescharacteristic
327#14273692C2311yescharacteristic
328C4×D236—21no—
329C4×D236—21no—
330C4×D236C2311yescharacteristic
331C4×D236C2311yescharacteristic
332D4×Dic59—21no—
333D4×Dic59—21no—
334D4×Dic59—21no—
335D4×Dic59—21no—
336D4×Dic59C2311yescharacteristic
337D4×Dic59C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340D4×Dic59C2311yescharacteristic
341D4×Dic59C2311yescharacteristic
342#14273689C2311yescharacteristic
343#14273689C2311yescharacteristic
344#14273689C2311yescharacteristic
345#14273689C2311yescharacteristic
346#14273689C2311yescharacteristic
347#14273689C2311yescharacteristic
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59C2311yescharacteristic
352C4×C22⋊D59C2311yescharacteristic
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360#14273686—21no—
361#14273686C2311yescharacteristic
362#14273686C2311yescharacteristic
363#14273686C2311yescharacteristic
364#14273685—21no—
365#14273685C2311yescharacteristic
366#14273685C2311yescharacteristic
367#14273684—21no—
368#14273684—21no—
369#14273684C2311yescharacteristic
370#14273683—21no—
371C2×C22⋊Dic59—21no—
372C2×C22⋊Dic59—21no—
373C2×(C2×D59)⋊C4—21no—
374C2×(C2×D59)⋊C4—21no—
375C2×(C2×D59)⋊C4—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C2×C4×Dic59—21no—
383C2×C4×Dic59C2311yescharacteristic
384C42×D59—21no—
385#14273661C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273659C2311yescharacteristic
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#14273651C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429#14273637C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432C4×C59⋊C8C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×#41×C59C2311yescharacteristic
439C22×D4×C59C2311yescharacteristic
440C2×SD16×C59C2311yescharacteristic
441C2×D8×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C2×M16×C59C2311yescharacteristic
444C22×C8×C59C2311yescharacteristic
445C4⋊Q8×C59C2311yescharacteristic
446#124×C59—21no—
447#124×C59—21no—
448#124×C59C2311yescharacteristic
449#123×C59—21no—
450C22⋊Q8×C59C2311yescharacteristic
451#121×C59—21no—
452#121×C59—21no—
453#121×C59C2311yescharacteristic
454#121×C59C2311yescharacteristic
455#121×C59C2311yescharacteristic
456#120×C59—21no—
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460#117×C59—21no—
461#117×C59C2311yescharacteristic
462#117×C59C2311yescharacteristic
463C2×C22⋊C4×C59—21no—
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468#103×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×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—
482C23×D59—21no—
483C23×D59—21no—
484C23×D59—21no—
485#41×C59—22no—
486#41×C59—41no—
487C2×Q8×C59—21no—
488C2×Q8×C59C2411yescharacteristic
489C2×D4×C59—22no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—41no—
496C2×D4×C59C2×D411yescharacteristic
497C2×D4×C59C2411yescharacteristic
498C2×D4×C59C2411yescharacteristic
499C2×D4×C59C2411yescharacteristic
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59C2411yescharacteristic
504C22×C4×C59C2411yescharacteristic
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—82no—
517C2×C22⋊D59C2×D411yescharacteristic
518C2×C22⋊D59C2×D411yescharacteristic
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59C2×D411yescharacteristic
526C22×Dic59C2×D411yescharacteristic
527Q8×D59—82no—
528#11745687—82no—
529#11745687—82no—
530D4×D59—22no—
531D4×D59—22no—
532D4×D59—41no—
533D4×D59—41no—
534D4×D59—82no—
535#11745685—22no—
536#11745685—41no—
537C2×D236—22no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—41no—
541C2×D236C2411yescharacteristic
542C2×D236C2411yescharacteristic
543C2×D236C2411yescharacteristic
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—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59C2411yescharacteristic
554C2×Dic118—21no—
555C2×Dic118—21no—
556C2×Dic118—21no—
557C2×Dic118—21no—
558C2×Dic118—21no—
559C2×Dic118—82no—
560C2×Dic118C2×D411yescharacteristic
561C2×Dic118C2411yescharacteristic
562SD16×C59—41no—
563D8×C59—22no—
564D8×C59—41no—
565M16×C59—41no—
566C2×C8×C59—41no—
567C2×C8×C59C2411yescharacteristic
568C2×C8×C59C2411yescharacteristic
569C2×C8×C59C2411yescharacteristic
570C2×C8×C59C2411yescharacteristic
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59C2×D411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C4⋊C4×C59C2411yescharacteristic
576C4⋊C4×C59C2411yescharacteristic
577C4⋊C4×C59C2411yescharacteristic
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—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59C2×D411yescharacteristic
589C22⋊C4×C59C2×D411yescharacteristic
590C42×C59—21no—
591C42×C59—21no—
592C42×C59C2411yescharacteristic
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⋊Dic59C2×D411yescharacteristic
606C22⋊Dic59C2×D411yescharacteristic
607C22⋊Dic59C2×D411yescharacteristic
608C22⋊Dic59C2×D411yescharacteristic
609#11745672—22no—
610#11745671—22no—
611#11745671—41no—
612#11745670—22no—
613#11745670—41no—
614#11745669—22no—
615#11745669—22no—
616#11745669—22no—
617#11745669—22no—
618#11745669#4114yescomplemented
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)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4C2×D411yescharacteristic
640(C2×D59)⋊C4C2×D411yescharacteristic
641(C2×D59)⋊C4C2×D411yescharacteristic
642(C2×D59)⋊C4C2×D411yescharacteristic
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59C2×D411yescharacteristic
648C4⋊Dic59C2×D411yescharacteristic
649C4⋊Dic59C2×D411yescharacteristic
650C4⋊Dic59C2411yescharacteristic
651C4⋊Dic59C2411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
663Dic59⋊C4C2×D411yescharacteristic
664Dic59⋊C4C2×D411yescharacteristic
665Dic59⋊C4C2×D411yescharacteristic
666Dic59⋊C4C2×D411yescharacteristic
667Dic59⋊C4C2×D411yescharacteristic
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59—21no—
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2411yescharacteristic
679C4×Dic59C2411yescharacteristic
680C4×Dic59C2411yescharacteristic
681C2×C59⋊C8—22no—
682C2×C59⋊C8—22no—
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687D472—22no—
688D472—41no—
689#11745660—41no—
690#11745659—41no—
691C8×D59—22no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—21no—
695C23×C59—42no—
696C23×C59—81no—
697C23×C59—81no—
698C23×C59C22×D411yescharacteristic
699C23×C59C22×D411yescharacteristic
700C22×D59—21no—
701C22×D59—21no—
702C22×D59—21no—
703C22×D59—42no—
704C22×D59—42no—
705C22×D59—42no—
706C22×D59—81no—
707C22×D59—81no—
708C22×D59—81no—
709C22×D59—81no—
710C22×D59—81no—
711C22×D59—81no—
712C22×D59C22×D411yescharacteristic
713Q8×C59—21no—
714Q8×C59—21no—
715Q8×C59—81no—
716D4×C59—21no—
717D4×C59—21no—
718D4×C59—21no—
719D4×C59—21no—
720D4×C59—21no—
721D4×C59—41no—
722D4×C59—42no—
723D4×C59—42no—
724D4×C59—81no—
725D4×C59—81no—
726D4×C59—81no—
727D4×C59C2×#4112yes—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—42no—
738C2×C4×C59—81no—
739C2×C4×C59—81no—
740C2×C4×C59C22×D411yescharacteristic
741C2×C4×C59C22×D411yescharacteristic
742C2×C4×C59C22×D411yescharacteristic
743C2×C4×C59C22×D411yescharacteristic
744C2×C4×C59C2511yescharacteristic
745C22⋊D59—22no—
746C22⋊D59—41no—
747C22⋊D59—42no—
748C22⋊D59—42no—
749C22⋊D59—42no—
750C22⋊D59—42no—
751C22⋊D59—42no—
752C22⋊D59—81no—
753C22⋊D59—81no—
754C22⋊D59—81no—
755C22⋊D59—81no—
756C22⋊D59—81no—
757C22⋊D59—81no—
758C2×Dic59—22no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—41no—
765C2×Dic59—42no—
766C2×Dic59—81no—
767C2×Dic59—81no—
768C2×Dic59—81no—
769C2×Dic59—81no—
770C2×Dic59—81no—
771C2×Dic59C22×D411yescharacteristic
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778D236—21no—
779D236—21no—
780D236—21no—
781D236—21no—
782D236—21no—
783D236—42no—
784D236—81no—
785D236C2×#4112yes—
786C4×D59—21no—
787C4×D59—21no—
788C4×D59—42no—
789C4×D59—42no—
790C4×D59—81no—
791C4×D59—81no—
792C4×D59—81no—
793C4×D59—81no—
794C4×D59—81no—
795C4×D59—81no—
796C4×D59—81no—
797Dic118—22no—
798Dic118—21no—
799Dic118—21no—
800Dic118—42no—
801Dic118—42no—
802Dic118—81no—
803Dic118—81no—
804Dic118—81no—
805C8×C59—21no—
806C8×C59—21no—
807C8×C59—21no—
808C8×C59—21no—
809C59⋊C8—21no—
810C59⋊C8—21no—
811C59⋊C8—21no—
812C59⋊C8C2×#4112yes—
813#61475—591nomaximal, Sylow
814C22×C59—21no—
815C22×C59—21no—
816C22×C59—21no—
817C22×C59—22no—
818C22×C59—21no—
819C22×C59—21no—
820C22×C59—21no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—162no—
830C22×C59C23×D411yescharacteristic
831C2×D59—21no—
832C2×D59—21no—
833C2×D59—22no—
834C2×D59—21no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—162no—
844C2×D59—162no—
845C2×D59—162no—
846C4×C59—21no—
847C4×C59—21no—
848C4×C59—21no—
849C4×C59—21no—
850C4×C59—41no—
851C4×C59—41no—
852C4×C59—41no—
853C4×C59—41no—
854C4×C59—41no—
855C4×C59C22×#4111yescharacteristic
856C4×C59#58511yescharacteristic
857Dic59—21no—
858Dic59—21no—
859Dic59—21no—
860Dic59—21no—
861Dic59—21no—
862Dic59—21no—
863Dic59—41no—
864Dic59—41no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868Dic59#57612yes—
869#3514—591no—
870#3514—591no—
871#3396—591no—
872Q8×D8—591no—
873#3373—591no—
874#3373—591no—
875#3342—591no—
876#3341—591no—
877#3341—591no—
878#3324—591no—
879#3324—591no—
880#3319—591no—
881#3319—591no—
882#3319—591no—
883#3319D5911yescharacteristic, complemented
884#3280—591no—
885#3280—591no—
886D4×D8—591no—
887#3175—591no—
888#3175—591no—
889#3169—591no—
890#3118—591no—
891#3118—591no—
892#3118—591no—
893#3118—591no—
894#3115—591no—
895#3115—591no—
896#2966—591no—
897#2948—591no—
898#2948—591no—
899C4×#135—591no—
900C2×C59—41no—
901C2×C59—42no—
902C2×C59—41no—
903C2×C59—81no—
904C2×C59—81no—
905C2×C59D4×#4111yescharacteristic
906C2×C59C2×#57611yescharacteristic
907C2×C59#358411yescharacteristic
908D59—41no—
909D59—42no—
910D59—81no—
911D59—81no—
912C2×#135—591no—
913C22×D8—591no—
914C22×D8—591no—
915#559—591no—
916#559—591no—
917#556—591no—
918#556—591no—
919#555—591no—
920#555—591no—
921#555—591no—
922#555C2×D5911yescharacteristic, complemented
923#551—1181no—
924#551—1181no—
925#551—1181no—
926#551—1181no—
927D4×Q8—591no—
928D4×Q8—591no—
929#548—1181no—
930#548—1181no—
931#546—591no—
932#546—591no—
933#546—591no—
934#546—1181no—
935#546—1181no—
936#546C2×D5911yescharacteristic, complemented
937D42—591no—
938D42—591no—
939#542—591no—
940#542—591no—
941#542—591no—
942#542—591no—
943#538—1181no—
944#538—1181no—
945#538—1181no—
946#538—1181no—
947#532—591no—
948#532—591no—
949#529—591no—
950#529—1181no—
951#529—1181no—
952C2×#124—1181no—
953C2×#124—1181no—
954#518—591no—
955#518—591no—
956#518—591no—
957#518—591no—
958C4×#41—591no—
959C4×#41—591no—
960#500—591no—
961#500—591no—
962#500—591no—
963#495—591no—
964#495—591no—
965#493—591no—
966#489—591no—
967#489—591no—
968#489—591no—
969#489C2×D5911yescharacteristic, complemented
970#486—591no—
971#486—591no—
972#485—591no—
973#485—591no—
974#485—591no—
975#485C2×D5911yescharacteristic, complemented
976#482—591no—
977#482—591no—
978#482—591no—
979#482—591no—
980#482—591no—
981#482—591no—
982#482—591no—
983#482C2×D5911yescharacteristic, complemented
984#476—591no—
985#476—591no—
986#476—591no—
987#476—591no—
988#475—591no—
989#475—591no—
990#474—591no—
991#474—591no—
992#474—591no—
993#474—591no—
994#474—591no—
995#474C2×D5911yescharacteristic, complemented
996#468—591no—
997#468—591no—
998#468—591no—
999#468C2×D5911yescharacteristic, complemented
1000#467—591no—
1001#467—591no—
1002#466—591no—
1003#466—591no—
1004#466—591no—
1005#466—591no—
1006#466—591no—
1007#466C2×D5911yescharacteristic, complemented
1008#463—591no—
1009#463—591no—
1010#463—591no—
1011#463—591no—
1012#463—591no—
1013#463—591no—
1014#463—591no—
1015#463C2×D5911yescharacteristic, complemented
1016#460—591no—
1017#460—591no—
1018#459—591no—
1019#459—591no—
1020#450—591no—
1021#450—591no—
1022#450—591no—
1023#450—591no—
1024#449—591no—
1025#449—591no—
1026#449—591no—
1027#449C2×D5911yescharacteristic, complemented
1028#447—591no—
1029#447—591no—
1030#447—591no—
1031#447C2×D5911yescharacteristic
1032#446—591no—
1033C8×Q8—591no—
1034#442—591no—
1035#442—591no—
1036#442—591no—
1037#442—591no—
1038#442—591no—
1039#442—591no—
1040#442—591no—
1041#442C2×D5911yescharacteristic, complemented
1042#440—591no—
1043#440—591no—
1044#440—591no—
1045#440—591no—
1046C4×Q16—591no—
1047C4×Q16—591no—
1048C4×SD16—591no—
1049C4×SD16—591no—
1050C4×SD16—591no—
1051C4×SD16—591no—
1052C4×D8—591no—
1053C4×D8—591no—
1054C4×D8—591no—
1055C4×D8—591no—
1056C4×D8—591no—
1057C4×D8—591no—
1058C4×D8—591no—
1059C4×D8—591no—
1060C4×D8—591no—
1061C4×D8—591no—
1062#436—591no—
1063#435—591no—
1064#435C2×D5911yescharacteristic, complemented
1065C8×D4—591no—
1066C8×D4—591no—
1067C8×D4—591no—
1068#433—591no—
1069#433—591no—
1070#432—591no—
1071#427—591no—
1072#427—591no—
1073#427—591no—
1074#418—591no—
1075#418—591no—
1076#418—591no—
1077#418C2×D5911yescharacteristic, complemented
1078#416—591no—
1079#416C2×D5911yescharacteristic, complemented
1080#405—591no—
1081#405—591no—
1082C2×C4×C8—591no—
1083C59#6147511yescharacteristic, complemented, Sylow
1084C2×#41—591no—
1085C2×#41—1181no—
1086C2×#41—1181no—
1087C2×#41C22×D5911yescharacteristic
1088C22×Q8—1181no—
1089C22×Q8—1181no—
1090C22×D4—591no—
1091C22×D4—591no—
1092C22×D4—591no—
1093C22×D4—1181no—
1094C22×D4—1181no—
1095C22×D4C22×D5911yescharacteristic
1096#135—1184no—
1097C2×Q16—591no—
1098C2×SD16—591no—
1099C2×SD16—591no—
1100C2×SD16—591no—
1101C2×SD16—591no—
1102C2×SD16—591no—
1103C2×SD16C22×D5911yescharacteristic
1104C2×D8—591no—
1105C2×D8—591no—
1106C2×D8—591no—
1107C2×D8—591no—
1108C2×D8—591no—
1109C2×D8—591no—
1110C2×D8—591no—
1111C2×D8—1184no—
1112C2×D8—1184no—
1113C2×D8C22×D5911yescharacteristic
1114C2×D8C22×D5911yescharacteristic
1115C2×M16—591no—
1116C2×M16C22×D5911yescharacteristic
1117C22×C8—591no—
1118C22×C8—591no—
1119C22×C8—591no—
1120C22×C8C22×D5911yescharacteristic
1121C4⋊Q8—591no—
1122C4⋊Q8—591no—
1123C4⋊Q8—591no—
1124C4⋊Q8—591no—
1125C4⋊Q8—591no—
1126C4⋊Q8C22×D5911yescharacteristic
1127#127—591no—
1128#127—591no—
1129#126—591no—
1130#126—591no—
1131#126—1181no—
1132#126—1181no—
1133#126—1181no—
1134#126—1181no—
1135#126—1181no—
1136#126—1181no—
1137#126—1181no—
1138#126—1181no—
1139#125—591no—
1140#124—21no—
1141#124—21no—
1142#124—591no—
1143#124—591no—
1144#124—591no—
1145#124—591no—
1146#124—1181no—
1147#124—1181no—
1148#124—1181no—
1149#124—1181no—
1150#124—1181no—
1151#124—1181no—
1152#124—1181no—
1153#124—1181no—
1154#124—1181no—
1155#124—1181no—
1156#124—1181no—
1157#124—1181no—
1158#124—1181no—
1159#124—1181no—
1160#124—1181no—
1161#124—1181no—
1162#124C22×D5911yescharacteristic
1163#123—21no—
1164#123—591no—
1165#123—591no—
1166#123—1181no—
1167#123—1181no—
1168#123—1181no—
1169#123—1181no—
1170#123—1181no—
1171#123—1181no—
1172#123—1181no—
1173#123—1181no—
1174#123—1181no—
1175#123—1181no—
1176#123—1181no—
1177C22⋊Q8—591no—
1178C22⋊Q8—591no—
1179C22⋊Q8—591no—
1180C22⋊Q8—591no—
1181C22⋊Q8—1181no—
1182C22⋊Q8—1181no—
1183C22⋊Q8—1181no—
1184C22⋊Q8—1181no—
1185C22⋊Q8—1181no—
1186C22⋊Q8—1181no—
1187C22⋊Q8—1181no—
1188C22⋊Q8—1181no—
1189C22⋊Q8—1181no—
1190C22⋊Q8—1181no—
1191C22⋊Q8C22×D5911yescharacteristic
1192#121—21no—
1193#121—21no—
1194#121—591no—
1195#121—591no—
1196#121—591no—
1197#121—591no—
1198#121—591no—
1199#121—591no—
1200#121—1181no—
1201#121—1181no—
1202#121—1181no—
1203#121—1181no—
1204#121—1181no—
1205#121—1181no—
1206#121—1181no—
1207#121—1181no—
1208#121—1181no—
1209#121—1181no—
1210#121C22×D5911yescharacteristic
1211#121C22×D5911yescharacteristic
1212#121C22×D5911yescharacteristic
1213#120—21no—
1214#120—1181no—
1215#120—1181no—
1216#120—1181no—
1217#120—1181no—
1218#120—1181no—
1219#120—1181no—
1220#120—1181no—
1221C4×Q8—591no—
1222C4×Q8—591no—
1223C4×Q8—591no—
1224C4×Q8—591no—
1225C4×Q8—591no—
1226C4×Q8—1181no—
1227C4×Q8—1181no—
1228C4×D4—591no—
1229C4×D4—591no—
1230C4×D4—591no—
1231C4×D4—591no—
1232C4×D4—591no—
1233C4×D4—591no—
1234C4×D4—591no—
1235C4×D4—591no—
1236C4×D4—591no—
1237C4×D4—591no—
1238C4×D4—591no—
1239C4×D4—591no—
1240C4×D4—591no—
1241C4×D4—591no—
1242C4×D4—591no—
1243C4×D4—591no—
1244C4×D4—1181no—
1245C4×D4—1181no—
1246C4×D4—1181no—
1247C4×D4—1181no—
1248C4×D4—1181no—
1249C4×D4—1181no—
1250C4×D4—1181no—
1251C4×D4—1181no—
1252C4×D4—1181no—
1253C4×D4—1181no—
1254C4×D4—1181no—
1255C4×D4—1181no—
1256C4×D4—1181no—
1257C4×D4—1181no—
1258C4×D4—1181no—
1259C4×D4—1181no—
1260C4×D4C22×D5911yescharacteristic
1261C4×D4C22×D5911yescharacteristic
1262C4×D4C22×D5911yescharacteristic
1263#117—21no—
1264#117—591no—
1265#117—591no—
1266#117—591no—
1267#117—591no—
1268#117—591no—
1269#117—591no—
1270#117—1181no—
1271#117—1181no—
1272#117—1181no—
1273#117—1181no—
1274#117—1181no—
1275#117C22×D5911yescharacteristic
1276#117C22×D5911yescharacteristic
1277C2×C22⋊C4—21no—
1278C2×C22⋊C4—1181no—
1279C2×C22⋊C4—1181no—
1280C2×C22⋊C4—1181no—
1281C2×C22⋊C4—1181no—
1282C2×C22⋊C4—1181no—
1283C2×C22⋊C4—1181no—
1284C2×C22⋊C4—1181no—
1285C2×C22⋊C4—1181no—
1286C2×C22⋊C4—1181no—
1287C2×C22⋊C4—1181no—
1288C2×C22⋊C4—1181no—
1289C2×C42—591no—
1290C2×C42—1181no—
1291C2×C42—1181no—
1292#107—591no—
1293#107—591no—
1294#107—591no—
1295#107—591no—
1296#107—591no—
1297#107—591no—
1298#107—591no—
1299#107—591no—
1300#107C22×D5911yescharacteristic
1301#107C22×D5911yescharacteristic
1302#106—591no—
1303#106—591no—
1304#106—591no—
1305#106—591no—
1306#106—591no—
1307#106C22×D5911yescharacteristic
1308C4⋊C8—591no—
1309C4⋊C8—591no—
1310C4⋊C8—591no—
1311C4⋊C8—591no—
1312C4⋊C8—591no—
1313C4⋊C8C22×D5911yescharacteristic
1314#103—591no—
1315#103—591no—
1316#103—591no—
1317#103—591no—
1318#103—591no—
1319#103C22×D5911yescharacteristic
1320#103C22×D5911yescharacteristic
1321#103C22×D5911yescharacteristic
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#102—591no—
1334#102—591no—
1335#102—591no—
1336#102—591no—
1337#102—591no—
1338#102—591no—
1339#102C22×D5911yescharacteristic
1340#102C22×D5911yescharacteristic
1341#102C22×D5911yescharacteristic
1342#102C22×D5911yescharacteristic
1343#102C22×D5911yescharacteristic
1344#102C22×D5911yescharacteristic
1345#102C22×D5911yescharacteristic
1346C22⋊C8—591no—
1347C22⋊C8—591no—
1348C22⋊C8—591no—
1349C22⋊C8—591no—
1350C22⋊C8C22×D5911yescharacteristic
1351C22⋊C8C22×D5911yescharacteristic
1352#97—591no—
1353#97—591no—
1354#97—591no—
1355#97C22×D5911yescharacteristic
1356C4×C8—591no—
1357C4×C8—591no—
1358C4×C8—591no—
1359C4×C8—591no—
1360C4×C8—591no—
1361C4×C8—591no—
1362C24—21no—
1363C24—1181no—
1364C24—1181no—
1365C24—1181no—
1366#41—22no—
1367#41—41no—
1368#41—1182no—
1369#41—4722no—
1370#41—4722no—
1371#41—2361no—
1372C2×Q8—21no—
1373C2×Q8—591no—
1374C2×Q8—591no—
1375C2×Q8—1181no—
1376C2×Q8—1181no—
1377C2×Q8—1181no—
1378C2×Q8—1181no—
1379C2×Q8—1181no—
1380C2×Q8—4722no—
1381C2×Q8—4722no—
1382C2×Q8C23×D5911yescharacteristic
1383C2×D4—22no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—41no—
1390C2×D4—591no—
1391C2×D4—591no—
1392C2×D4—591no—
1393C2×D4—591no—
1394C2×D4—591no—
1395C2×D4—1182no—
1396C2×D4—1181no—
1397C2×D4—1181no—
1398C2×D4—1181no—
1399C2×D4—1181no—
1400C2×D4—1181no—
1401C2×D4—1181no—
1402C2×D4—1181no—
1403C2×D4—1182no—
1404C2×D4—1182no—
1405C2×D4—1181no—
1406C2×D4—1181no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—4722no—
1412C2×D4—4722no—
1413C2×D4—2361no—
1414C2×D4—2361no—
1415C2×D4—2361no—
1416C2×D4D4×D5911yescharacteristic
1417C2×D4C23×D5911yescharacteristic
1418C2×D4C23×D5911yescharacteristic
1419C2×D4C23×D5911yescharacteristic
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—591no—
1424C22×C4—591no—
1425C22×C4—591no—
1426C22×C4—1181no—
1427C22×C4—1181no—
1428C22×C4—1181no—
1429C22×C4—1181no—
1430C22×C4—1181no—
1431C22×C4—1181no—
1432C22×C4—1181no—
1433C22×C4—1181no—
1434C22×C4—1181no—
1435C22×C4—1181no—
1436C22×C4—1181no—
1437C22×C4—1181no—
1438C22×C4—1181no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4C23×D5911yescharacteristic
1442C22×C4C23×D5911yescharacteristic
1443Q16—1182no—
1444SD16—41no—
1445SD16—1182no—
1446SD16—1182no—
1447SD16—2361no—
1448SD16—2361no—
1449SD16—2361no—
1450D8—22no—
1451D8—41no—
1452D8—594no—
1453D8—1182no—
1454D8—1182no—
1455D8—1182no—
1456D8—1182no—
1457D8—1182no—
1458D8—2361no—
1459M16—41no—
1460M16—2361no—
1461C2×C8—41no—
1462C2×C8—591no—
1463C2×C8—591no—
1464C2×C8—591no—
1465C2×C8—591no—
1466C2×C8—1182no—
1467C2×C8—1182no—
1468C2×C8—1182no—
1469C2×C8C23×D5911yescharacteristic
1470C2×C8C23×D5911yescharacteristic
1471C2×C8C23×D5911yescharacteristic
1472C2×C8C23×D5911yescharacteristic
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—591no—
1476C4⋊C4—591no—
1477C4⋊C4—591no—
1478C4⋊C4—591no—
1479C4⋊C4—591no—
1480C4⋊C4—591no—
1481C4⋊C4—591no—
1482C4⋊C4—591no—
1483C4⋊C4—591no—
1484C4⋊C4—591no—
1485C4⋊C4—591no—
1486C4⋊C4—591no—
1487C4⋊C4—591no—
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⋊C4—1181no—
1499C4⋊C4—1181no—
1500C4⋊C4D4×D5911yescharacteristic
1501C4⋊C4C23×D5911yescharacteristic
1502C4⋊C4C23×D5911yescharacteristic
1503C4⋊C4C23×D5911yescharacteristic
1504C4⋊C4C23×D5911yescharacteristic
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—591no—
1516C22⋊C4—591no—
1517C22⋊C4—591no—
1518C22⋊C4—591no—
1519C22⋊C4—591no—
1520C22⋊C4—591no—
1521C22⋊C4—591no—
1522C22⋊C4—591no—
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—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4D4×D5911yescharacteristic
1556C22⋊C4D4×D5911yescharacteristic
1557C42—21no—
1558C42—21no—
1559C42—591no—
1560C42—591no—
1561C42—591no—
1562C42—591no—
1563C42—591no—
1564C42—1181no—
1565C42—1181no—
1566C42—1181no—
1567C42—1181no—
1568C42—1181no—
1569C42—1181no—
1570C42—1181no—
1571C42—1181no—
1572C42C23×D5911yescharacteristic
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—42no—
1577C23—81no—
1578C23—81no—
1579C23—591no—
1580C23—1181no—
1581C23—1181no—
1582C23—1181no—
1583C23—4721no—
1584C23—4721no—
1585C23—4721no—
1586C23—4721no—
1587C23—4721no—
1588C23—4721no—
1589C23—2362no—
1590C23—2362no—
1591C23—2362no—
1592C23C2×D4×D5911yescharacteristic
1593C23C2×D4×D5911yescharacteristic
1594Q8—21no—
1595Q8—21no—
1596Q8—81no—
1597Q8—1182no—
1598Q8—1181no—
1599Q8—1181no—
1600Q8—4721no—
1601Q8—4721no—
1602Q8—4721no—
1603Q8—2362no—
1604Q8—2362no—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—21no—
1609D4—21no—
1610D4—41no—
1611D4—42no—
1612D4—42no—
1613D4—81no—
1614D4—81no—
1615D4—81no—
1616D4—592no—
1617D4—1182no—
1618D4—1181no—
1619D4—1181no—
1620D4—1181no—
1621D4—1181no—
1622D4—1181no—
1623D4—4721no—
1624D4—4721no—
1625D4—4721no—
1626D4—4721no—
1627D4—4721no—
1628D4—4721no—
1629D4—4721no—
1630D4—2362no—
1631D4—2362no—
1632D4—2362no—
1633D4—2361no—
1634D4—2362no—
1635D4—2362no—
1636D4—2362no—
1637D4#41×D5912yes—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—42no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—591no—
1651C2×C4—591no—
1652C2×C4—591no—
1653C2×C4—591no—
1654C2×C4—591no—
1655C2×C4—591no—
1656C2×C4—591no—
1657C2×C4—1182no—
1658C2×C4—1181no—
1659C2×C4—1181no—
1660C2×C4—1181no—
1661C2×C4—1181no—
1662C2×C4—1181no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—4721no—
1666C2×C4—4721no—
1667C2×C4—4721no—
1668C2×C4—4721no—
1669C2×C4—4721no—
1670C2×C4—4721no—
1671C2×C4—4721no—
1672C2×C4—4721no—
1673C2×C4—4721no—
1674C2×C4—4721no—
1675C2×C4—4721no—
1676C2×C4—4721no—
1677C2×C4—2362no—
1678C2×C4—2362no—
1679C2×C4—2362no—
1680C2×C4—2361no—
1681C2×C4C2×D4×D5911yescharacteristic
1682C2×C4C2×D4×D5911yescharacteristic
1683C2×C4C2×D4×D5911yescharacteristic
1684C2×C4C2×D4×D5911yescharacteristic
1685C2×C4C24×D5911yescharacteristic
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—21no—
1690C8—592no—
1691C8—1181no—
1692C8—1181no—
1693C8—1181no—
1694C22—21no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—22no—
1699C22—21no—
1700C22—21no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—162no—
1710C22—1181no—
1711C22—1181no—
1712C22—1182no—
1713C22—1181no—
1714C22—9442no—
1715C22—9442no—
1716C22—9442no—
1717C22—2361no—
1718C22—2361no—
1719C22—2361no—
1720C22—2361no—
1721C22—2361no—
1722C22—2361no—
1723C22—2361no—
1724C22—2361no—
1725C22C22×D4×D5911yescharacteristic
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—592no—
1736C4—1181no—
1737C4—1181no—
1738C4—1181no—
1739C4—1181no—
1740C4—1181no—
1741C4—1181no—
1742C4—2361no—
1743C4—2361no—
1744C4—2361no—
1745C4—2361no—
1746C4—2361no—
1747C4C2×#41×D5911yescharacteristic
1748C4#1683823711yescharacteristic
1749C2—41no—
1750C2—41no—
1751C2—42no—
1752C2—81no—
1753C2—81no—
1754C2—4721no—
1755C2—4721no—
1756C2—2361no—
1757C2—2362no—
1758C2#2143758011yescharacteristic
1759C2#576×D5911yescharacteristic
1760C2#2143886911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3319C2
socleC22×C59C23×D4
hypercenter#3319D59
hypocenterC59#61475
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #21438053C2semidirect
2. #21438044C2semidirect
3. #21437103C2semidirect
4. #21436946C2semidirect
5. #21436889C2semidirect
6. #21436885C2semidirect
7. #21436521C2semidirect
8. #21436514C2semidirect
9. #21436513C2semidirect
10. #21436323C2semidirect
11. #21436322C2semidirect
12. #21436258C2semidirect
13. #21436254C2semidirect
14. #21436248C2semidirect
15. #21435779C2semidirect
16. #21435777C2semidirect
17. #21435766C2semidirect
18. #21434734C2semidirect
19. #21434730C2semidirect
20. #21434670C2semidirect
21. #21434287C2semidirect
22. #21434283C2semidirect
23. #21434277C2semidirect
24. #21434273C2semidirect
25. #21434242C2semidirect
26. #21434240C2semidirect
27. #21433066C2semidirect
28. #21432945C2semidirect
29. #21432944C2semidirect
30. #21432864C2semidirect
31. C59×#3319C2semidirect
35. #16838135C22semidirect
36. #16838134C22semidirect
39. #16838117C22semidirect
40. #16838116C22semidirect
41. #16838115C22semidirect
46. D4×Dic118C22semidirect
47. #16838067C22semidirect
50. #16838049C22semidirect
51. #16838048C22semidirect
53. #16838040C22semidirect
57. #16838026C22semidirect
58. #16838025C22semidirect
59. #16838021C22semidirect
60. #16838019C22semidirect
65. #16837947C22semidirect
66. #16837947C22semidirect
72. #16837877C22semidirect
73. #16837876C22semidirect
74. #16837874C22semidirect
75. #16837874C22semidirect
76. #41×Dic59C22semidirect
77. #16837870C22semidirect
78. #16837806C22semidirect
79. #16837806C22semidirect
80. #16837805C22semidirect
81. #16837784C22semidirect
82. #16837783C22semidirect
84. #16837763C22semidirect
85. #16837762C22semidirect
86. #16837760C22semidirect
87. #16837747C22semidirect
88. #16837747C22semidirect
89. #16837745C22semidirect
90. #16837744C22semidirect
91. #16837742C22semidirect
92. #16837729C22semidirect
93. #16837727C22semidirect
94. #16837726C22semidirect
95. #16837726C22semidirect
96. #16837724C22semidirect
97. #16837723C22semidirect
98. #16837723C22semidirect
99. #16837692C22semidirect
100. #16837691C22semidirect
101. #16837690C22semidirect
102. #16837689C22semidirect
103. #16837686C22semidirect
104. #16837685C22semidirect
105. #16837683C22semidirect
106. #16837681C22semidirect
107. #16837681C22semidirect
108. #16837680C22semidirect
109. #16837680C22semidirect
110. #16837651C22semidirect
111. #16837648C22semidirect
112. #16837647C22semidirect
113. #16837642C22semidirect
114. #16837641C22semidirect
115. #16837638C22semidirect
118. #16837636C22semidirect
119. #16837636C22semidirect
120. #16837620C22semidirect
121. #16837620C22semidirect
122. #16837618C22semidirect
123. #16837617C22semidirect
124. #16837615C22semidirect
125. #16837615C22semidirect
126. #16837614C22semidirect
127. #16837601C22semidirect
128. #16837600C22semidirect
131. #16837554C22semidirect
132. #16837553C22semidirect
133. #16837552C22semidirect
134. #16837551C22semidirect
135. #16837549C22semidirect
136. #16837547C22semidirect
137. #16837545C22semidirect
141. #16837530C22semidirect
142. #16837526C22semidirect
143. #16837515C22semidirect
144. #16837514C22semidirect
145. #16837513C22semidirect
146. #16837511C22semidirect
147. #16837511C22semidirect
148. #16837511C22semidirect
149. #16837511C22semidirect
150. #16837505C22semidirect
151. #16837503C22semidirect
152. #16837501C22semidirect
153. #16837499C22semidirect
154. #16837494C22semidirect
155. #16837494C22semidirect
156. #16837493C22semidirect
157. #16837493C22semidirect
158. #16837487C22semidirect
159. #16837487C22semidirect
160. D8×Dic59C22semidirect
161. #16837484C22semidirect
163. C4×#11745669C22semidirect
167. #16837482C22semidirect
168. #16837482C22semidirect
169. #16837482C22semidirect
171. #16837473C22semidirect
172. D4×C59⋊C8C22semidirect
174. (C22⋊D59)⋊C8C22semidirect
175. #16837462C22semidirect
176. #16837460C22semidirect
177. #16837456C22semidirect
178. #16837438C22semidirect
179. #16837438C22semidirect
180. #16837437C22semidirect
181. #16837408C22semidirect
182. #16837405C22semidirect
183. #16837405C22semidirect
184. #16837399C22semidirect
185. #16837360C22semidirect
186. #16837359C22semidirect
187. C2×C8×Dic59C22semidirect
188. C59×#555C22semidirect
189. C59×#546C22semidirect
190. C59×#489C22semidirect
191. C59×#485C22semidirect
192. C59×#482C22semidirect
193. C59×#474C22semidirect
194. C59×#468C22semidirect
195. C59×#466C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#418C22semidirect
202. C59×#416C22semidirect
618. #11745669#41semidirect
883. #3319D59semidirect
922. #555C2×D59semidirect
936. #546C2×D59semidirect
969. #489C2×D59semidirect
975. #485C2×D59semidirect
983. #482C2×D59semidirect
995. #474C2×D59semidirect
999. #468C2×D59semidirect
1007. #466C2×D59semidirect
1015. #463C2×D59semidirect
1027. #449C2×D59semidirect
1041. #442C2×D59semidirect
1064. #435C2×D59semidirect
1077. #418C2×D59semidirect
1079. #416C2×D59semidirect
1083. C59#61475semidirect

Maximal subgroups

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

subgroupindex
#214380532
#214380442
#214371032
#214369462
#214368892
#214368852
#214365212
#214365142
#214365132
#214363232
#214363222
#214362582
#214362542
#214362482
#214357792
#214357772
#214357662
#214347342
#214347302
#214346702
#214342872
#214342832
#214342772
#214342732
#214342422
#214342402
#214330662
#214329452
#214329442
#214328642
C59×#33192
#6147559