Finite Group Databasebeta

← #29457157

Subgroups — #29457157

Order 15104.

2218 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437483C211yesmaximal, characteristic, complemented
2#518×D59C211yesmaximal, characteristic, complemented
3#21434347C211yesmaximal, characteristic, complemented
4#21434345C211yesmaximal, characteristic, complemented
5#21434344C211yesmaximal, characteristic, complemented
6#21434342C211yesmaximal, characteristic, complemented
7#21434338C211yesmaximal, characteristic, complemented
8#21434336C211yesmaximal, characteristic, complemented
9#21434335C211yesmaximal, characteristic, complemented
10#21434333C211yesmaximal, characteristic, complemented
11#21434287C211yesmaximal, characteristic, complemented
12#21434285C211yesmaximal, characteristic, complemented
13#21434282C211yesmaximal, characteristic, complemented
14#21434280C211yesmaximal, characteristic, complemented
15#21434279C211yesmaximal, characteristic, complemented
16#21434277C211yesmaximal, characteristic, complemented
17#21434274C211yesmaximal, characteristic, complemented
18#21434028C211yesmaximal, characteristic, complemented
19#21434024C211yesmaximal, characteristic, complemented
20#21433894C211yesmaximal, characteristic, complemented
21#21433888C211yesmaximal, characteristic, complemented
22#21433558C211yesmaximal, characteristic, complemented
23#21433558C211yesmaximal, characteristic, complemented
24#21433324C211yesmaximal, characteristic, complemented
25#21433320C211yesmaximal, characteristic, complemented
26#21432907C211yesmaximal, characteristic, complemented
27C4×#14273754C211yesmaximal, characteristic, complemented
28#21432901C211yesmaximal, characteristic, complemented
29C4×#14273751C211yesmaximal, characteristic, complemented
30#21432730C211yesmaximal, characteristic, complemented
31C59×#3118C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C2×#14273754C2211yescharacteristic
34C2×#14273754C2211yescharacteristic
35C2×#14273751C2211yescharacteristic
36C2×#14273751C2211yescharacteristic
37#16838026C2211yescharacteristic, complemented
38#16838023C2211yescharacteristic, complemented
39#16838021C2211yescharacteristic, complemented
40#16838012C2211yescharacteristic, complemented
41#16838010C2211yescharacteristic, complemented
42#16838005C2211yescharacteristic, complemented
43#16838003C2211yescharacteristic, complemented
44#16837998—21no—
45#16837993—21no—
46#16837988—21no—
47#16837986—21no—
48#16837957C2211yescharacteristic, complemented
49#16837951C2211yescharacteristic, complemented
50#16837938—21no—
51#16837935—21no—
52#16837931—21no—
53#16837929—21no—
54#16837915C2211yescharacteristic
55#16837912C2211yescharacteristic
56#16837877C2211yescharacteristic
57#16837876C2211yescharacteristic
58#16837876C2211yescharacteristic
59#16837875—21no—
60#16837875—21no—
61#16837874—21no—
62#16837874—21no—
63#16837874C2211yescharacteristic
64#16837874C2211yescharacteristic
65#16837874C2211yescharacteristic
66#16837874C2211yescharacteristic
67C4×#11745689C2211yescharacteristic, complemented
68C4×#11745687C2211yescharacteristic, complemented
69C4×D4×D59—21no—
70C4×D4×D59—21no—
71C4×D4×D59C2211yescharacteristic
72C4×D4×D59C2211yescharacteristic
73C4×D4×D59C2211yescharacteristic
74C4×D4×D59C2211yescharacteristic
75#117×D59C2211yescharacteristic
76#117×D59C2211yescharacteristic
77C2×C22⋊C4×D59—21no—
78C2×C22⋊C4×D59—21no—
79#16837746C2211yescharacteristic, complemented
80#16837745C2211yescharacteristic, complemented
81#16837744C2211yescharacteristic, complemented
82#16837743C2211yescharacteristic, complemented
83#16837742C2211yescharacteristic, complemented
84#16837741C2211yescharacteristic, complemented
85#16837740C2211yescharacteristic, complemented
86#16837729C2211yescharacteristic, complemented
87#16837728C2211yescharacteristic, complemented
88#16837727C2211yescharacteristic, complemented
89#16837726C2211yescharacteristic, complemented
90#16837725C2211yescharacteristic, complemented
91#16837724C2211yescharacteristic, complemented
92#16837723C2211yescharacteristic, complemented
93#16837705C2211yescharacteristic, complemented
94#16837705C2211yescharacteristic, complemented
95#16837704C2211yescharacteristic, complemented
96#16837704C2211yescharacteristic, complemented
97#16837701C2211yescharacteristic, complemented
98#16837701C2211yescharacteristic, complemented
99#16837700C2211yescharacteristic, complemented
100#16837700C2211yescharacteristic, complemented
101#16837693C2211yescharacteristic, complemented
102#16837692C2211yescharacteristic, complemented
103#16837689C2211yescharacteristic, complemented
104#16837683C2211yescharacteristic, complemented
105#16837682C2211yescharacteristic, complemented
106#16837679C2211yescharacteristic, complemented
107#16837618C2211yescharacteristic, complemented
108#16837618C2211yescharacteristic, complemented
109#16837617C2211yescharacteristic, complemented
110#16837617C2211yescharacteristic, complemented
111#16837614C2211yescharacteristic, complemented
112#16837614C2211yescharacteristic, complemented
113#16837606C2211yescharacteristic, complemented
114#16837606C2211yescharacteristic, complemented
115#16837605C2211yescharacteristic, complemented
116#16837605C2211yescharacteristic, complemented
117#16837596C2211yescharacteristic, complemented
118#16837596C2211yescharacteristic, complemented
119#16837595C2211yescharacteristic, complemented
120#16837595C2211yescharacteristic, complemented
121#16837555C2211yescharacteristic
122#16837554C2211yescharacteristic
123#16837554C2211yescharacteristic
124#16837553C2211yescharacteristic
125#16837552C2211yescharacteristic
126#16837551C2211yescharacteristic
127#16837551C2211yescharacteristic
128#16837538C2211yescharacteristic
129#16837537C2211yescharacteristic
130#16837537C2211yescharacteristic
131#16837536C2211yescharacteristic
132#16837535C2211yescharacteristic
133#16837534C2211yescharacteristic
134#16837534C2211yescharacteristic
135#16837515C2211yescharacteristic, complemented
136#16837514C2211yescharacteristic, complemented
137#16837513C2211yescharacteristic, complemented
138#16837512C2211yescharacteristic, complemented
139#16837512C2211yescharacteristic, complemented
140#16837511C2211yescharacteristic, complemented
141#16837511C2211yescharacteristic, complemented
142#16837505C2211yescharacteristic, complemented
143#16837504C2211yescharacteristic, complemented
144#16837503C2211yescharacteristic, complemented
145#16837502C2211yescharacteristic, complemented
146#16837501C2211yescharacteristic, complemented
147#16837500C2211yescharacteristic, complemented
148#16837499C2211yescharacteristic, complemented
149#16837493C2211yescharacteristic, complemented
150C4×#11745660C2211yescharacteristic, complemented
151SD16×Dic59C2211yescharacteristic, complemented
152C4×#11745671C2211yescharacteristic, complemented
153#16837489C2211yescharacteristic, complemented
154C4×#11745670C2211yescharacteristic, complemented
155#16837487C2211yescharacteristic, complemented
156C4×D472C2211yescharacteristic, complemented
157D8×Dic59C2211yescharacteristic, complemented
158#16837484C2211yescharacteristic, complemented
159C4×#11745669C2211yescharacteristic, complemented
160C4×#11745669C2211yescharacteristic, complemented
161#16837482C2211yescharacteristic, complemented
162#16837482C2211yescharacteristic, complemented
163#16837464C2211yescharacteristic, complemented
164#16837463C2211yescharacteristic, complemented
165#16837462C2211yescharacteristic, complemented
166#16837462C2211yescharacteristic, complemented
167#16837461C2211yescharacteristic, complemented
168#16837460C2211yescharacteristic, complemented
169#16837460C2211yescharacteristic, complemented
170#16837443C2211yescharacteristic, complemented
171#16837443C2211yescharacteristic, complemented
172#16837441C2211yescharacteristic, complemented
173#16837441C2211yescharacteristic, complemented
174#16837424C2211yescharacteristic, complemented
175#16837424C2211yescharacteristic, complemented
176#16837405C2211yescharacteristic
177#16837405C2211yescharacteristic
178#16837405C2211yescharacteristic
179#16837405C2211yescharacteristic
180#16837402C2211yescharacteristic, complemented
181#16837402C2211yescharacteristic, complemented
182#16837400C2211yescharacteristic, complemented
183#16837400C2211yescharacteristic, complemented
184#16837364C2211yescharacteristic
185#16837364C2211yescharacteristic
186#16837354C2211yescharacteristic, complemented
187C4×#11745659C2211yescharacteristic, complemented
188C59×#542C2211yescharacteristic, complemented
189C59×#518C2211yescharacteristic
190C59×#485C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#476C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#450C2211yescharacteristic
197C59×#447C2211yescharacteristic
198C59×#442C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C4×SD16×C59C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C24×D59—21no—
204C2×#11745689C2311yescharacteristic
205C2×#11745687C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C22×C22⋊D59—21no—
208C2×D4×D59—24no—
209C2×D4×D59—24no—
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215C2×D4×D59C2311yescharacteristic
216C22×C4×D59—21no—
217C22×C4×D59—21no—
218C22×C4×D59—21no—
219C22×C4×D59—21no—
220C22×C4×D59C2311yescharacteristic
221#14273754—24no—
222#14273754—24no—
223#14273751—24no—
224#14273751—24no—
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745659C2311yescharacteristic
238C2×#11745659C2311yescharacteristic
239C2×#11745659C2311yescharacteristic
240C2×#11745659C2311yescharacteristic
241#14273727C2311yescharacteristic, complemented
242#14273725C2311yescharacteristic, complemented
243#14273723C2311yescharacteristic, complemented
244#14273722—21no—
245#14273722—21no—
246#14273722—21no—
247#14273721—21no—
248#14273720—21no—
249#14273720—21no—
250#14273720—21no—
251#14273719—21no—
252#14273718—21no—
253#14273718C2311yescharacteristic, complemented
254#14273718C2311yescharacteristic, complemented
255#14273717—21no—
256#14273717—21no—
257#14273716—21no—
258#14273715C2311yescharacteristic, complemented
259#14273713—21no—
260#14273713—21no—
261#14273712—21no—
262#14273712—21no—
263#14273711—21no—
264#14273711—21no—
265#14273710—21no—
266#14273709—21no—
267#14273709—21no—
268#14273709—21no—
269#14273709—21no—
270#14273707—21no—
271#14273707C2311yescharacteristic
272#14273706C2311yescharacteristic
273#14273705—21no—
274#14273704—21no—
275#14273703—21no—
276#14273703—21no—
277#14273703C2311yescharacteristic
278#14273702C2311yescharacteristic
279#14273701—21no—
280#14273701C2311yescharacteristic
281#14273700—21no—
282#14273700—21no—
283#14273700—21no—
284#14273699—21no—
285#14273698—21no—
286#14273698C2311yescharacteristic
287#14273697—21no—
288#14273695—21no—
289Q8×Dic59—21no—
290Q8×Dic59C2311yescharacteristic, complemented
291C4×Dic118C2311yescharacteristic, complemented
292#14273692—21no—
293#14273692C2311yescharacteristic, complemented
294C4×D236—21no—
295C4×D236—21no—
296C4×D236—21no—
297C4×D236C2311yescharacteristic
298C4×D236C2311yescharacteristic
299C4×D236C2311yescharacteristic
300C4×D236C2311yescharacteristic
301C4×D236C2311yescharacteristic, complemented
302D4×Dic59—21no—
303D4×Dic59—21no—
304D4×Dic59—21no—
305D4×Dic59C2311yescharacteristic
306D4×Dic59C2311yescharacteristic
307D4×Dic59C2311yescharacteristic
308D4×Dic59C2311yescharacteristic
309D4×Dic59C2311yescharacteristic, complemented
310#14273689—21no—
311#14273689—21no—
312#14273689—21no—
313#14273689—21no—
314#14273689C2311yescharacteristic
315#14273689C2311yescharacteristic
316#14273689C2311yescharacteristic
317#14273689C2311yescharacteristic
318#14273689C2311yescharacteristic, complemented
319C4×C22⋊D59—21no—
320C4×C22⋊D59—21no—
321C4×C22⋊D59—21no—
322C4×C22⋊D59—21no—
323C4×C22⋊D59—21no—
324C4×C22⋊D59—21no—
325C4×C22⋊D59—21no—
326C4×C22⋊D59—21no—
327C4×C22⋊D59—21no—
328(C22⋊D59)⋊C4—21no—
329(C22⋊D59)⋊C4—21no—
330(C22⋊D59)⋊C4—21no—
331(C22⋊D59)⋊C4—21no—
332(C22⋊D59)⋊C4—21no—
333(C22⋊D59)⋊C4—21no—
334(C22⋊D59)⋊C4—21no—
335(C22⋊D59)⋊C4—21no—
336(C22⋊D59)⋊C4—21no—
337(C22⋊D59)⋊C4—21no—
338(C22⋊D59)⋊C4—21no—
339(C22⋊D59)⋊C4—21no—
340(C22⋊D59)⋊C4—21no—
341#14273686C2311yescharacteristic
342#14273686C2311yescharacteristic
343#14273685—21no—
344#14273685D411yescharacteristic
345#14273685D411yescharacteristic
346#14273685C2311yescharacteristic
347#14273685C2311yescharacteristic
348#14273685C2311yescharacteristic
349#14273685C2311yescharacteristic
350#14273684—21no—
351#14273684C2311yescharacteristic
352#14273684C2311yescharacteristic
353#14273683—21no—
354#14273683—21no—
355#14273683D411yescharacteristic
356#14273683D411yescharacteristic
357C4⋊C4×D59D411yescharacteristic
358C4⋊C4×D59D411yescharacteristic
359C4⋊C4×D59C2311yescharacteristic
360C4⋊C4×D59C2311yescharacteristic
361C2×C22⋊Dic59—21no—
362C2×C22⋊Dic59—21no—
363C2×(C2×D59)⋊C4—21no—
364C2×(C2×D59)⋊C4—21no—
365C2×(C2×D59)⋊C4—21no—
366C2×(C2×D59)⋊C4—21no—
367C22⋊C4×D59—21no—
368C22⋊C4×D59—21no—
369C22⋊C4×D59—21no—
370C22⋊C4×D59—21no—
371C22⋊C4×D59—21no—
372C22⋊C4×D59—21no—
373C22⋊C4×D59—21no—
374C22⋊C4×D59—21no—
375C22⋊C4×D59—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59D411yescharacteristic
381C22⋊C4×D59D411yescharacteristic
382C2×C4×Dic59—21no—
383C42×D59—21no—
384C42×D59—21no—
385C42×D59C2311yescharacteristic
386C42×D59C2311yescharacteristic
387#14273661C2311yescharacteristic, complemented
388#14273661C2311yescharacteristic, complemented
389#14273660C2311yescharacteristic, complemented
390#14273660C2311yescharacteristic, complemented
391#14273660C2311yescharacteristic, complemented
392#14273660C2311yescharacteristic, complemented
393#14273659C2311yescharacteristic, complemented
394#14273659C2311yescharacteristic, complemented
395#14273658C2311yescharacteristic, complemented
396#14273658C2311yescharacteristic, complemented
397#14273658C2311yescharacteristic, complemented
398#14273658C2311yescharacteristic, complemented
399C4⋊(C59⋊C8)C2311yescharacteristic, complemented
400C4⋊(C59⋊C8)C2311yescharacteristic, complemented
401Dic59⋊C8C2311yescharacteristic, complemented
402Dic59⋊C8C2311yescharacteristic, complemented
403Dic59⋊C8C2311yescharacteristic, complemented
404Dic59⋊C8C2311yescharacteristic, complemented
405#14273652C2311yescharacteristic, complemented
406#14273652C2311yescharacteristic, complemented
407#14273651C2311yescharacteristic, complemented
408#14273651C2311yescharacteristic, complemented
409#14273650C2311yescharacteristic, complemented
410#14273650C2311yescharacteristic, complemented
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic, complemented
416#14273649C2311yescharacteristic, complemented
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic, complemented
422#14273648C2311yescharacteristic, complemented
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic, complemented
428#14273647C2311yescharacteristic, complemented
429C22⋊(C59⋊C8)C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435#14273638C2311yescharacteristic, complemented
436#14273637C2311yescharacteristic, complemented
437#14273637C2311yescharacteristic, complemented
438C4×C59⋊C8C2311yescharacteristic, complemented
439C8×Dic59C2311yescharacteristic, complemented
440C8×Dic59C2311yescharacteristic, complemented
441C22×D4×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C4⋊Q8×C59C2311yescharacteristic, complemented
447#126×C59—21no—
448#124×C59—21no—
449#124×C59C2311yescharacteristic, complemented
450#123×C59—21no—
451C22⋊Q8×C59—21no—
452C22⋊Q8×C59C2311yescharacteristic
453#121×C59C2311yescharacteristic
454C4×Q8×C59C2311yescharacteristic, complemented
455C4×D4×C59—21no—
456C4×D4×C59—21no—
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic, complemented
462#117×C59C2311yescharacteristic
463#117×C59C2311yescharacteristic
464C2×C22⋊C4×C59—21no—
465C2×C22⋊C4×C59—21no—
466#107×C59C2311yescharacteristic, complemented
467#107×C59C2311yescharacteristic, complemented
468#106×C59C2311yescharacteristic, complemented
469#106×C59C2311yescharacteristic, complemented
470C4⋊C8×C59C2311yescharacteristic, complemented
471C4⋊C8×C59C2311yescharacteristic, complemented
472#103×C59C2311yescharacteristic, complemented
473#103×C59C2311yescharacteristic, complemented
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic, complemented
479#102×C59C2311yescharacteristic, complemented
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic, complemented
483C4×C8×C59C2311yescharacteristic, complemented
484C24×C59—21no—
485C23×D59—28no—
486C23×D59—21no—
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59—82no—
492C23×D59—82no—
493C23×D59C2×D411yescharacteristic
494C2×Q8×C59—21no—
495C2×Q8×C59C2411yescharacteristic
496C2×D4×C59—22no—
497C2×D4×C59—22no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59C2411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59C2411yescharacteristic
509C2×C22⋊D59—28no—
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—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59C2×D411yescharacteristic
526#11745689—22no—
527#11745689—22no—
528#11745687—22no—
529#11745687—22no—
530D4×D59—28no—
531D4×D59—28no—
532D4×D59—22no—
533D4×D59—22no—
534D4×D59—22no—
535D4×D59—22no—
536D4×D59—22no—
537D4×D59—22no—
538D4×D59#4114yes—
539D4×D59#4114yes—
540C2×D236—21no—
541C2×D236—22no—
542C2×D236—22no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236C2411yescharacteristic
546C2×D236C2411yescharacteristic
547C2×D236C2411yescharacteristic
548C2×C4×D59—22no—
549C2×C4×D59—22no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—82no—
564C2×C4×D59—82no—
565C2×C4×D59—82no—
566C2×C4×D59—82no—
567C2×C4×D59C2×D411yescharacteristic
568C2×C4×D59C2×D411yescharacteristic
569C2×C4×D59C2×D411yescharacteristic
570C2×C4×D59C2×D411yescharacteristic
571C2×C4×D59C2×D411yescharacteristic
572C2×C4×D59C2×D411yescharacteristic
573C2×C4×D59C2411yescharacteristic
574C2×C4×D59C2411yescharacteristic
575C2×Dic118—21no—
576C2×Dic118C2411yescharacteristic
577SD16×C59—22no—
578SD16×C59—22no—
579D8×C59—22no—
580D8×C59—22no—
581C2×C8×C59C2411yescharacteristic
582C2×C8×C59C2411yescharacteristic
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C4⋊C4×C59—21no—
586C4⋊C4×C59—21no—
587C4⋊C4×C59—21no—
588C4⋊C4×C59C2×D411yescharacteristic
589C4⋊C4×C59C2×D411yescharacteristic
590C4⋊C4×C59C2411yescharacteristic
591C4⋊C4×C59C2411yescharacteristic
592C4⋊C4×C59C2411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59C2×D411yescharacteristic
605C22⋊C4×C59C2×D411yescharacteristic
606C42×C59—21no—
607C42×C59—21no—
608C42×C59C2411yescharacteristic
609C42×C59C2411yescharacteristic
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59C2×D411yescharacteristic
619C22⋊Dic59C2×D411yescharacteristic
620#11745671—22no—
621#11745671—22no—
622#11745670—22no—
623#11745670—22no—
624#11745669—22no—
625#11745669—22no—
626#11745669—22no—
627#11745669—22no—
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)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4C2×D411yescharacteristic
649(C2×D59)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59C2×D411yescharacteristic
658C4⋊Dic59C2×D411yescharacteristic
659C4⋊Dic59C2411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662C4⋊Dic59C2411yescharacteristic
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695D472—22no—
696D472—22no—
697#11745660—22no—
698#11745660—22no—
699#11745659—22no—
700#11745659—22no—
701#11745659—22no—
702#11745659—22no—
703C23×C59—24no—
704C23×C59—21no—
705C23×C59—21no—
706C23×C59—21no—
707C23×C59—81no—
708C23×C59—81no—
709C23×C59C22×D411yescharacteristic
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—24no—
713C22×D59—24no—
714C22×D59—24no—
715C22×D59—22no—
716C22×D59—24no—
717C22×D59—24no—
718C22×D59—21no—
719C22×D59—41no—
720C22×D59—41no—
721C22×D59—42no—
722C22×D59—42no—
723C22×D59—42no—
724C22×D59—42no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—816no—
730C22×D59—81no—
731C22×D59—81no—
732C22×D59C22×D411yescharacteristic
733C22×D59C22×D411yescharacteristic
734Q8×C59—21no—
735Q8×C59—21no—
736Q8×C59—81no—
737D4×C59—24no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—81no—
743D4×C59C2×#4112yes—
744D4×C59C2×#4112yes—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—81no—
753C2×C4×C59—81no—
754C2×C4×C59—81no—
755C2×C4×C59—81no—
756C2×C4×C59—81no—
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C2511yescharacteristic
763C22⋊D59—24no—
764C22⋊D59—24no—
765C22⋊D59—24no—
766C22⋊D59—24no—
767C22⋊D59—42no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C2×Dic59—22no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—42no—
779C2×Dic59—81no—
780C2×Dic59—81no—
781C2×Dic59—81no—
782C2×Dic59—81no—
783C2×Dic59—81no—
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789C2×Dic59C22×D411yescharacteristic
790D236—24no—
791D236—21no—
792D236—21no—
793D236—21no—
794D236—21no—
795D236—42no—
796D236—81no—
797D236C2×#4112yes—
798D236C2×#4112yes—
799C4×D59—22no—
800C4×D59—21no—
801C4×D59—21no—
802C4×D59—22no—
803C4×D59—41no—
804C4×D59—41no—
805C4×D59—41no—
806C4×D59—41no—
807C4×D59—42no—
808C4×D59—42no—
809C4×D59—42no—
810C4×D59—81no—
811C4×D59—81no—
812C4×D59—81no—
813C4×D59—81no—
814C4×D59—81no—
815C4×D59—81no—
816C4×D59—81no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59C2×#4112yes—
821C4×D59C2×#4112yes—
822Dic118—21no—
823Dic118—21no—
824Dic118—81no—
825C8×C59—21no—
826C8×C59—21no—
827C8×C59—21no—
828C8×C59—21no—
829C59⋊C8—21no—
830C59⋊C8—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833#60564—591nomaximal, Sylow
834C22×C59—21no—
835C22×C59—21no—
836C22×C59—21no—
837C22×C59—22no—
838C22×C59—22no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—84no—
847C22×C59C23×D411yescharacteristic
848C2×D59—21no—
849C2×D59—21no—
850C2×D59—21no—
851C2×D59—21no—
852C2×D59—21no—
853C2×D59—22no—
854C2×D59—22no—
855C2×D59—48no—
856C2×D59—48no—
857C2×D59—44no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—84no—
866C2×D59—84no—
867C2×D59—84no—
868C2×D59#52512yes—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—21no—
873C4×C59—21no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59—41no—
879C4×C59C22×#4111yescharacteristic
880C4×C59C22×#4111yescharacteristic
881Dic59—21no—
882Dic59—21no—
883Dic59—21no—
884Dic59—21no—
885Dic59—21no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891Dic59#52512yes—
892#3455—591no—
893C2×#518—591no—
894#3123—591no—
895#3123—591no—
896#3123—591no—
897#3123—591no—
898#3122—591no—
899#3122—591no—
900#3122—591no—
901#3122—591no—
902#3118—591no—
903#3118—591no—
904#3118—591no—
905#3118—591no—
906#3118—591no—
907#3118—591no—
908#3118—591no—
909#3118D5911yescharacteristic, complemented
910#3093—591no—
911#3093—591no—
912#3077—591no—
913#3077—591no—
914#3036—591no—
915#3036—591no—
916#3003—591no—
917#3003—591no—
918C4×AGL(1,ℤ/8)—591no—
919C4×AGL(1,ℤ/8)—591no—
920C4×AGL(1,ℤ/8)—591no—
921C4×AGL(1,ℤ/8)—591no—
922#2921—591no—
923C2×C59—41no—
924C2×C59—42no—
925C2×C59—42no—
926C2×C59—81no—
927C2×C59C2×#52511yescharacteristic
928C2×C59#358511yescharacteristic
929C2×C59#358511yescharacteristic
930D59—22no—
931D59—41no—
932D59—42no—
933D59—42no—
934D59—81no—
935C23×D4—591no—
936C2×AGL(1,ℤ/8)—591no—
937C2×AGL(1,ℤ/8)—591no—
938C2×AGL(1,ℤ/8)—591no—
939C2×AGL(1,ℤ/8)—591no—
940#542—591no—
941#542—591no—
942#542—591no—
943#542C2×D5911yescharacteristic, complemented
944#541—591no—
945#541—591no—
946#540—591no—
947#540—591no—
948#539—1181no—
949#539—1181no—
950#538—1181no—
951#538—1181no—
952#533—591no—
953#532—591no—
954#529—1181no—
955#529—1181no—
956#529—1181no—
957#529—1181no—
958#525—591no—
959#525—591no—
960#518—591no—
961#518—591no—
962#518—591no—
963#518—591no—
964#518—591no—
965#518—591no—
966#518—591no—
967#518—1181no—
968#518—1181no—
969#518—1181no—
970#518—1181no—
971#518C2×D5911yescharacteristic
972C4×#41—591no—
973C4×#41—591no—
974C2×C4×D4—591no—
975C2×C4×D4—591no—
976C2×C4×D4—591no—
977C2×C4×D4—591no—
978C2×C4×D4—1181no—
979C2×C4×D4—1181no—
980C2×#117—591no—
981C2×#117—591no—
982C22×C22⋊C4—1181no—
983C22×C22⋊C4—1181no—
984#485—591no—
985#485—591no—
986#485—591no—
987#485—591no—
988#485—591no—
989#485—591no—
990#485—591no—
991#485C2×D5911yescharacteristic, complemented
992#482—591no—
993#482—591no—
994#482—591no—
995#482—591no—
996#482—591no—
997#482—591no—
998#482—591no—
999#482C2×D5911yescharacteristic, complemented
1000#478—591no—
1001#478—591no—
1002#478—591no—
1003#478—591no—
1004#478—591no—
1005#478—591no—
1006#478—591no—
1007#478—591no—
1008#476—591no—
1009#476—591no—
1010#476—591no—
1011#476C2×D5911yescharacteristic, complemented
1012#474—591no—
1013#474—591no—
1014#474—591no—
1015#474C2×D5911yescharacteristic, complemented
1016#463—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463C2×D5911yescharacteristic, complemented
1023#463C2×D5911yescharacteristic, complemented
1024#461—591no—
1025#461—591no—
1026#461—591no—
1027#461—591no—
1028#459—591no—
1029#459—591no—
1030#459—591no—
1031#459—591no—
1032#450—591no—
1033#450—591no—
1034#450—591no—
1035#450—591no—
1036#450—591no—
1037#450—591no—
1038#450—591no—
1039#450C2×D5911yescharacteristic
1040#447—591no—
1041#447—591no—
1042#447—591no—
1043#447—591no—
1044#447—591no—
1045#447—591no—
1046#447—591no—
1047#447C2×D5911yescharacteristic
1048#442—591no—
1049#442—591no—
1050#442—591no—
1051#442—591no—
1052#442—591no—
1053#442—591no—
1054#442—591no—
1055#442C2×D5911yescharacteristic, complemented
1056#440—591no—
1057#440—591no—
1058#440—591no—
1059#440—591no—
1060#440—591no—
1061#440—591no—
1062#440—591no—
1063#440C2×D5911yescharacteristic, complemented
1064C4×SD16—591no—
1065C4×SD16—591no—
1066C4×SD16—591no—
1067C4×SD16—591no—
1068C4×SD16—591no—
1069C4×SD16—591no—
1070C4×SD16—591no—
1071C4×SD16C2×D5911yescharacteristic, complemented
1072C4×D8—591no—
1073C4×D8—591no—
1074C4×D8—591no—
1075C4×D8—591no—
1076C4×D8—591no—
1077C4×D8—591no—
1078C4×D8—591no—
1079C4×D8C2×D5911yescharacteristic, complemented
1080#433—591no—
1081#433—591no—
1082#433—591no—
1083#433—591no—
1084#433—591no—
1085#433—591no—
1086#433—591no—
1087#433C2×D5911yescharacteristic, complemented
1088#428—591no—
1089#428—591no—
1090#428—591no—
1091#428—591no—
1092#423—591no—
1093#423—591no—
1094#418—591no—
1095#418—591no—
1096#418—591no—
1097#418—591no—
1098#417—591no—
1099#417—591no—
1100#417—591no—
1101#417—591no—
1102#407—591no—
1103#407—591no—
1104C4×M16—591no—
1105C4×M16—591no—
1106C59#6056411yescharacteristic, complemented, Sylow
1107C25—1181no—
1108C2×#41—591no—
1109C2×#41—591no—
1110C22×D4—591no—
1111C22×D4—591no—
1112C22×D4—591no—
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—1181no—
1116C22×D4—1181no—
1117C22×D4—1181no—
1118C22×D4—1184no—
1119C22×D4—1184no—
1120C22×D4C22×D5911yescharacteristic
1121C23×C4—591no—
1122C23×C4—1181no—
1123C23×C4—1181no—
1124C23×C4—1181no—
1125C23×C4—1181no—
1126AGL(1,ℤ/8)—1184no—
1127AGL(1,ℤ/8)—1184no—
1128AGL(1,ℤ/8)—1184no—
1129AGL(1,ℤ/8)—1184no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—591no—
1136C2×SD16C22×D5911yescharacteristic
1137C2×SD16C22×D5911yescharacteristic
1138C2×D8—591no—
1139C2×D8—591no—
1140C2×D8—591no—
1141C2×D8—591no—
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8C22×D5911yescharacteristic
1145C2×D8C22×D5911yescharacteristic
1146C2×M16—591no—
1147C2×M16—591no—
1148C2×M16—591no—
1149C2×M16—591no—
1150C4⋊Q8—591no—
1151C4⋊Q8—591no—
1152C4⋊Q8C22×D5911yescharacteristic, complemented
1153#127—591no—
1154#126—21no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#125—591no—
1163#125—591no—
1164#125—1181no—
1165#125—1181no—
1166#125—1181no—
1167#125—1181no—
1168#124—21no—
1169#124—591no—
1170#124—1181no—
1171#124—1181no—
1172#124—1181no—
1173#124C22×D5911yescharacteristic, complemented
1174#123—21no—
1175#123—1181no—
1176#123—1181no—
1177#123—1181no—
1178#123—1181no—
1179#123—1181no—
1180#123—1181no—
1181#123—1181no—
1182#123—1181no—
1183#123—1181no—
1184C22⋊Q8—21no—
1185C22⋊Q8—591no—
1186C22⋊Q8—591no—
1187C22⋊Q8—591no—
1188C22⋊Q8—1181no—
1189C22⋊Q8—1181no—
1190C22⋊Q8—1181no—
1191C22⋊Q8—1181no—
1192C22⋊Q8—1181no—
1193C22⋊Q8C22×D5911yescharacteristic
1194#121—591no—
1195#121—591no—
1196#121—591no—
1197#121—1181no—
1198#121—1181no—
1199#121—1181no—
1200#121—1181no—
1201#121—1181no—
1202#121—1181no—
1203#121C22×D5911yescharacteristic
1204#120—1181no—
1205#120—1181no—
1206C4×Q8—591no—
1207C4×Q8—591no—
1208C4×Q8—591no—
1209C4×Q8—1181no—
1210C4×Q8—1181no—
1211C4×Q8C22×D5911yescharacteristic, complemented
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—591no—
1221C4×D4—591no—
1222C4×D4—591no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—591no—
1226C4×D4—591no—
1227C4×D4—591no—
1228C4×D4—591no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×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×D4—1181no—
1261C4×D4C22×D5911yescharacteristic
1262C4×D4C22×D5911yescharacteristic
1263C4×D4C22×D5911yescharacteristic
1264C4×D4C22×D5911yescharacteristic
1265C4×D4C22×D5911yescharacteristic, complemented
1266#117—591no—
1267#117—591no—
1268#117—591no—
1269#117—591no—
1270#117—591no—
1271#117—591no—
1272#117—591no—
1273#117—591no—
1274#117—591no—
1275#117—591no—
1276#117—591no—
1277#117—591no—
1278#117—1181no—
1279#117—1181no—
1280#117—1181no—
1281#117—1181no—
1282#117C22×D5911yescharacteristic
1283#117C22×D5911yescharacteristic
1284C2×C4⋊C4—591no—
1285C2×C4⋊C4—591no—
1286C2×C4⋊C4—591no—
1287C2×C4⋊C4—591no—
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—21no—
1290C2×C22⋊C4—591no—
1291C2×C22⋊C4—591no—
1292C2×C22⋊C4—1181no—
1293C2×C22⋊C4—1181no—
1294C2×C22⋊C4—1181no—
1295C2×C22⋊C4—1181no—
1296C2×C22⋊C4—1181no—
1297C2×C22⋊C4—1181no—
1298C2×C22⋊C4—1181no—
1299C2×C22⋊C4—1181no—
1300C2×C22⋊C4—1181no—
1301C2×C22⋊C4—1181no—
1302C2×C22⋊C4—1181no—
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C22⋊C4—1181no—
1306C2×C22⋊C4—1181no—
1307C2×C22⋊C4—1181no—
1308C2×C22⋊C4—1181no—
1309C2×C22⋊C4—1181no—
1310C2×C22⋊C4—1181no—
1311C2×C42—591no—
1312C2×C42—591no—
1313C2×C42—1181no—
1314C2×C42—1181no—
1315C2×C42—1181no—
1316#107—591no—
1317#107—591no—
1318#107—591no—
1319#107—591no—
1320#107—591no—
1321#107—591no—
1322#107C22×D5911yescharacteristic, complemented
1323#107C22×D5911yescharacteristic, complemented
1324#106—591no—
1325#106—591no—
1326#106—591no—
1327#106—591no—
1328#106—591no—
1329#106—591no—
1330#106C22×D5911yescharacteristic, complemented
1331#106C22×D5911yescharacteristic, complemented
1332C4⋊C8—591no—
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8C22×D5911yescharacteristic, complemented
1339C4⋊C8C22×D5911yescharacteristic, complemented
1340#103—591no—
1341#103—591no—
1342#103—591no—
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103C22×D5911yescharacteristic, complemented
1347#103C22×D5911yescharacteristic, complemented
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102C22×D5911yescharacteristic
1367#102C22×D5911yescharacteristic
1368#102C22×D5911yescharacteristic
1369#102C22×D5911yescharacteristic
1370#102C22×D5911yescharacteristic, complemented
1371#102C22×D5911yescharacteristic, complemented
1372C22⋊C8—591no—
1373C22⋊C8—591no—
1374C22⋊C8—591no—
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8C22×D5911yescharacteristic
1379C22⋊C8C22×D5911yescharacteristic
1380#97—591no—
1381#97—591no—
1382#97—591no—
1383#97C22×D5911yescharacteristic, complemented
1384C4×C8—591no—
1385C4×C8—591no—
1386C4×C8—591no—
1387C4×C8C22×D5911yescharacteristic, complemented
1388C24—21no—
1389C24—591no—
1390C24—1181no—
1391C24—1181no—
1392C24—1181no—
1393C24—1181no—
1394C24—1188no—
1395C24—1181no—
1396C24—4722no—
1397C24—4722no—
1398#41—1182no—
1399#41—1182no—
1400#41—1182no—
1401#41—1182no—
1402C2×Q8—21no—
1403C2×Q8—591no—
1404C2×Q8—1181no—
1405C2×Q8C23×D5911yescharacteristic
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—594no—
1411C2×D4—594no—
1412C2×D4—591no—
1413C2×D4—591no—
1414C2×D4—591no—
1415C2×D4—1182no—
1416C2×D4—1182no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1182no—
1420C2×D4—1182no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1182no—
1428C2×D4—1182no—
1429C2×D4—1188no—
1430C2×D4—1188no—
1431C2×D4—1188no—
1432C2×D4—1182no—
1433C2×D4—1182no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4C23×D5911yescharacteristic
1439C2×D4C23×D5911yescharacteristic
1440C2×D4C23×D5911yescharacteristic
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—591no—
1447C22×C4—591no—
1448C22×C4—591no—
1449C22×C4—591no—
1450C22×C4—591no—
1451C22×C4—591no—
1452C22×C4—591no—
1453C22×C4—591no—
1454C22×C4—591no—
1455C22×C4—1182no—
1456C22×C4—1182no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—4722no—
1477C22×C4—4722no—
1478C22×C4—4722no—
1479C22×C4—4722no—
1480C22×C4C23×D5911yescharacteristic
1481SD16—22no—
1482SD16—22no—
1483SD16—1182no—
1484SD16—1182no—
1485SD16—1182no—
1486SD16—1182no—
1487SD16—1182no—
1488SD16—1182no—
1489D8—22no—
1490D8—22no—
1491D8—1182no—
1492D8—1182no—
1493D8—1182no—
1494D8—1182no—
1495D8—1182no—
1496D8—1182no—
1497M16—1182no—
1498M16—1182no—
1499M16—1182no—
1500M16—1182no—
1501C2×C8—591no—
1502C2×C8—591no—
1503C2×C8—591no—
1504C2×C8—591no—
1505C2×C8C23×D5911yescharacteristic
1506C2×C8C23×D5911yescharacteristic
1507C2×C8C23×D5911yescharacteristic
1508C2×C8C23×D5911yescharacteristic
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—591no—
1513C4⋊C4—591no—
1514C4⋊C4—591no—
1515C4⋊C4—591no—
1516C4⋊C4—591no—
1517C4⋊C4—591no—
1518C4⋊C4—591no—
1519C4⋊C4—591no—
1520C4⋊C4—591no—
1521C4⋊C4—591no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4D4×D5911yescharacteristic
1538C4⋊C4D4×D5911yescharacteristic
1539C4⋊C4C23×D5911yescharacteristic
1540C4⋊C4C23×D5911yescharacteristic
1541C4⋊C4C23×D5911yescharacteristic
1542C4⋊C4C23×D5911yescharacteristic
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—591no—
1554C22⋊C4—591no—
1555C22⋊C4—591no—
1556C22⋊C4—591no—
1557C22⋊C4—591no—
1558C22⋊C4—591no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4D4×D5911yescharacteristic
1588C22⋊C4D4×D5911yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—591no—
1592C42—591no—
1593C42—591no—
1594C42—591no—
1595C42—591no—
1596C42—591no—
1597C42—1181no—
1598C42—1181no—
1599C42—1181no—
1600C42—1181no—
1601C42—1181no—
1602C42—1181no—
1603C42—1181no—
1604C42—1181no—
1605C42C23×D5911yescharacteristic
1606C42C23×D5911yescharacteristic
1607C23—24no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—81no—
1612C23—81no—
1613C23—591no—
1614C23—591no—
1615C23—1182no—
1616C23—1184no—
1617C23—1184no—
1618C23—1184no—
1619C23—1184no—
1620C23—1184no—
1621C23—1181no—
1622C23—1181no—
1623C23—1181no—
1624C23—4721no—
1625C23—4721no—
1626C23—4721no—
1627C23—4721no—
1628C23—4721no—
1629C23—4721no—
1630C23—47216no—
1631C23—2361no—
1632C23—2361no—
1633C23—2362no—
1634C23—2362no—
1635C23—2362no—
1636C23—2362no—
1637C23C2×D4×D5911yescharacteristic
1638Q8—21no—
1639Q8—21no—
1640Q8—81no—
1641Q8—1181no—
1642Q8—1181no—
1643Q8—4721no—
1644D4—24no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—81no—
1650D4—592no—
1651D4—592no—
1652D4—1184no—
1653D4—1184no—
1654D4—1184no—
1655D4—1184no—
1656D4—1184no—
1657D4—1181no—
1658D4—1181no—
1659D4—1181no—
1660D4—1181no—
1661D4—4721no—
1662D4—4721no—
1663D4—4721no—
1664D4—4721no—
1665D4—4721no—
1666D4—2362no—
1667D4—2362no—
1668D4#41×D5912yes—
1669D4#41×D5912yes—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—591no—
1683C2×C4—592no—
1684C2×C4—592no—
1685C2×C4—591no—
1686C2×C4—591no—
1687C2×C4—591no—
1688C2×C4—591no—
1689C2×C4—591no—
1690C2×C4—1182no—
1691C2×C4—1182no—
1692C2×C4—1182no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—1181no—
1697C2×C4—1181no—
1698C2×C4—1181no—
1699C2×C4—1181no—
1700C2×C4—4721no—
1701C2×C4—4721no—
1702C2×C4—4721no—
1703C2×C4—4721no—
1704C2×C4—4721no—
1705C2×C4—4721no—
1706C2×C4—4721no—
1707C2×C4—4721no—
1708C2×C4—4721no—
1709C2×C4—4721no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—2361no—
1716C2×C4—2361no—
1717C2×C4—2361no—
1718C2×C4—2361no—
1719C2×C4—2362no—
1720C2×C4—2362no—
1721C2×C4—2362no—
1722C2×C4—2362no—
1723C2×C4C2×D4×D5911yescharacteristic
1724C2×C4C2×D4×D5911yescharacteristic
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C24×D5911yescharacteristic
1729C8—21no—
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—1181no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C22—21no—
1738C22—22no—
1739C22—22no—
1740C22—21no—
1741C22—21no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—84no—
1750C22—592no—
1751C22—1181no—
1752C22—1181no—
1753C22—1181no—
1754C22—1182no—
1755C22—1182no—
1756C22—1181no—
1757C22—1181no—
1758C22—4724no—
1759C22—4724no—
1760C22—4724no—
1761C22—2364no—
1762C22—2368no—
1763C22—2368no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22—2361no—
1769C22—2361no—
1770C22—2361no—
1771C22C22×D4×D5911yescharacteristic
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—21no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—592no—
1783C4—1181no—
1784C4—1181no—
1785C4—1181no—
1786C4—1181no—
1787C4—1181no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4—2361no—
1792C4—2361no—
1793C4C2×#41×D5911yescharacteristic
1794C4C2×#41×D5911yescharacteristic
1795C2—41no—
1796C2—42no—
1797C2—42no—
1798C2—81no—
1799C2—1182no—
1800C2—4721no—
1801C2—2361no—
1802C2—2362no—
1803C2—2362no—
1804C2#525×D5911yescharacteristic
1805C2#2143887111yescharacteristic
1806C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3118C2
socleC22×C59C23×D4
hypercenter#3118D59
hypocenterC59#60564
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #21437483C2semidirect
2. #518×D59C2semidirect
3. #21434347C2semidirect
4. #21434345C2semidirect
5. #21434344C2semidirect
6. #21434342C2semidirect
7. #21434338C2semidirect
8. #21434336C2semidirect
9. #21434335C2semidirect
10. #21434333C2semidirect
11. #21434287C2semidirect
12. #21434285C2semidirect
13. #21434282C2semidirect
14. #21434280C2semidirect
15. #21434279C2semidirect
16. #21434277C2semidirect
17. #21434274C2semidirect
18. #21434028C2semidirect
19. #21434024C2semidirect
20. #21433894C2semidirect
21. #21433888C2semidirect
22. #21433558C2semidirect
23. #21433558C2semidirect
24. #21433324C2semidirect
25. #21433320C2semidirect
26. #21432907C2semidirect
27. C4×#14273754C2semidirect
28. #21432901C2semidirect
29. C4×#14273751C2semidirect
30. #21432730C2semidirect
31. C59×#3118C2semidirect
37. #16838026C22semidirect
38. #16838023C22semidirect
39. #16838021C22semidirect
40. #16838012C22semidirect
41. #16838010C22semidirect
42. #16838005C22semidirect
43. #16838003C22semidirect
48. #16837957C22semidirect
49. #16837951C22semidirect
67. C4×#11745689C22semidirect
68. C4×#11745687C22semidirect
79. #16837746C22semidirect
80. #16837745C22semidirect
81. #16837744C22semidirect
82. #16837743C22semidirect
83. #16837742C22semidirect
84. #16837741C22semidirect
85. #16837740C22semidirect
86. #16837729C22semidirect
87. #16837728C22semidirect
88. #16837727C22semidirect
89. #16837726C22semidirect
90. #16837725C22semidirect
91. #16837724C22semidirect
92. #16837723C22semidirect
93. #16837705C22semidirect
94. #16837705C22semidirect
95. #16837704C22semidirect
96. #16837704C22semidirect
97. #16837701C22semidirect
98. #16837701C22semidirect
99. #16837700C22semidirect
100. #16837700C22semidirect
101. #16837693C22semidirect
102. #16837692C22semidirect
103. #16837689C22semidirect
104. #16837683C22semidirect
105. #16837682C22semidirect
106. #16837679C22semidirect
107. #16837618C22semidirect
108. #16837618C22semidirect
109. #16837617C22semidirect
110. #16837617C22semidirect
111. #16837614C22semidirect
112. #16837614C22semidirect
113. #16837606C22semidirect
114. #16837606C22semidirect
115. #16837605C22semidirect
116. #16837605C22semidirect
117. #16837596C22semidirect
118. #16837596C22semidirect
119. #16837595C22semidirect
120. #16837595C22semidirect
135. #16837515C22semidirect
136. #16837514C22semidirect
137. #16837513C22semidirect
138. #16837512C22semidirect
139. #16837512C22semidirect
140. #16837511C22semidirect
141. #16837511C22semidirect
142. #16837505C22semidirect
143. #16837504C22semidirect
144. #16837503C22semidirect
145. #16837502C22semidirect
146. #16837501C22semidirect
147. #16837500C22semidirect
148. #16837499C22semidirect
149. #16837493C22semidirect
150. C4×#11745660C22semidirect
151. SD16×Dic59C22semidirect
152. C4×#11745671C22semidirect
153. #16837489C22semidirect
154. C4×#11745670C22semidirect
155. #16837487C22semidirect
156. C4×D472C22semidirect
157. D8×Dic59C22semidirect
158. #16837484C22semidirect
159. C4×#11745669C22semidirect
160. C4×#11745669C22semidirect
161. #16837482C22semidirect
162. #16837482C22semidirect
163. #16837464C22semidirect
164. #16837463C22semidirect
165. #16837462C22semidirect
166. #16837462C22semidirect
167. #16837461C22semidirect
168. #16837460C22semidirect
169. #16837460C22semidirect
170. #16837443C22semidirect
171. #16837443C22semidirect
172. #16837441C22semidirect
173. #16837441C22semidirect
174. #16837424C22semidirect
175. #16837424C22semidirect
180. #16837402C22semidirect
181. #16837402C22semidirect
182. #16837400C22semidirect
183. #16837400C22semidirect
186. #16837354C22semidirect
187. C4×#11745659C22semidirect
188. C59×#542C22semidirect
190. C59×#485C22semidirect
191. C59×#482C22semidirect
192. C59×#476C22semidirect
193. C59×#474C22semidirect
194. C59×#463C22semidirect
195. C59×#463C22semidirect
198. C59×#442C22semidirect
199. C59×#440C22semidirect
200. C4×SD16×C59C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#433C22semidirect
241. #14273727C23semidirect
242. #14273725C23semidirect
243. #14273723C23semidirect
253. #14273718C23semidirect
254. #14273718C23semidirect
258. #14273715C23semidirect
290. Q8×Dic59C23semidirect
291. C4×Dic118C23semidirect
293. #14273692C23semidirect
301. C4×D236C23semidirect
309. D4×Dic59C23semidirect
318. #14273689C23semidirect
387. #14273661C23semidirect
388. #14273661C23semidirect
389. #14273660C23semidirect
390. #14273660C23semidirect
391. #14273660C23semidirect
392. #14273660C23semidirect
393. #14273659C23semidirect
394. #14273659C23semidirect
395. #14273658C23semidirect
396. #14273658C23semidirect
397. #14273658C23semidirect
398. #14273658C23semidirect
399. C4⋊(C59⋊C8)C23semidirect
400. C4⋊(C59⋊C8)C23semidirect
401. Dic59⋊C8C23semidirect
402. Dic59⋊C8C23semidirect
403. Dic59⋊C8C23semidirect
404. Dic59⋊C8C23semidirect
405. #14273652C23semidirect
406. #14273652C23semidirect
407. #14273651C23semidirect
408. #14273651C23semidirect
409. #14273650C23semidirect
410. #14273650C23semidirect
415. #14273649C23semidirect
416. #14273649C23semidirect
421. #14273648C23semidirect
422. #14273648C23semidirect
427. #14273647C23semidirect
428. #14273647C23semidirect
435. #14273638C23semidirect
436. #14273637C23semidirect
437. #14273637C23semidirect
438. C4×C59⋊C8C23semidirect
439. C8×Dic59C23semidirect
440. C8×Dic59C23semidirect
446. C4⋊Q8×C59C23semidirect
449. #124×C59C23semidirect
454. C4×Q8×C59C23semidirect
461. C4×D4×C59C23semidirect
466. #107×C59C23semidirect
467. #107×C59C23semidirect
468. #106×C59C23semidirect
469. #106×C59C23semidirect
470. C4⋊C8×C59C23semidirect
471. C4⋊C8×C59C23semidirect
472. #103×C59C23semidirect
473. #103×C59C23semidirect
478. #102×C59C23semidirect
479. #102×C59C23semidirect
482. #97×C59C23semidirect
483. C4×C8×C59C23semidirect
909. #3118D59semidirect
943. #542C2×D59semidirect
991. #485C2×D59semidirect
999. #482C2×D59semidirect
1011. #476C2×D59semidirect
1015. #474C2×D59semidirect
1022. #463C2×D59semidirect
1023. #463C2×D59semidirect
1055. #442C2×D59semidirect
1063. #440C2×D59semidirect
1071. C4×SD16C2×D59semidirect
1079. C4×D8C2×D59semidirect
1087. #433C2×D59semidirect
1106. C59#60564semidirect
1152. C4⋊Q8C22×D59semidirect
1173. #124C22×D59semidirect
1211. C4×Q8C22×D59semidirect
1265. C4×D4C22×D59semidirect
1322. #107C22×D59semidirect
1323. #107C22×D59semidirect
1330. #106C22×D59semidirect
1331. #106C22×D59semidirect
1338. C4⋊C8C22×D59semidirect
1339. C4⋊C8C22×D59semidirect
1346. #103C22×D59semidirect
1347. #103C22×D59semidirect
1370. #102C22×D59semidirect
1371. #102C22×D59semidirect
1383. #97C22×D59semidirect
1387. C4×C8C22×D59semidirect

Maximal subgroups

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

subgroupindex
#214374832
#518×D592
#214343472
#214343452
#214343442
#214343422
#214343382
#214343362
#214343352
#214343332
#214342872
#214342852
#214342822
#214342802
#214342792
#214342772
#214342742
#214340282
#214340242
#214338942
#214338882
#214335582
#214333242
#214333202
#214329072
C4×#142737542
#214329012
C4×#142737512
#214327302
C59×#31182
#6056459