Finite Group Databasebeta

← #29482497

Subgroups — #29482497

Order 15104.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438689C211yesmaximal, characteristic, complemented
2#21438031C211yesmaximal, characteristic, complemented
3#21437169C211yesmaximal, characteristic, complemented
4#21437108C211yesmaximal, characteristic, complemented
5#21436856C211yesmaximal, characteristic, complemented
6#21436750C211yesmaximal, characteristic, complemented
7#21436367C211yesmaximal, characteristic, complemented
8#21436350C211yesmaximal, characteristic, complemented
9#21436223C211yesmaximal, characteristic, complemented
10#21436051C211yesmaximal, characteristic, complemented
11#21435944C211yesmaximal, characteristic, complemented
12#21435806C211yesmaximal, characteristic, complemented
13#21435709C211yesmaximal, characteristic, complemented
14#21435708C211yesmaximal, characteristic, complemented
15#21435704C211yesmaximal, characteristic, complemented
16#21435622C211yesmaximal, characteristic, complemented
17#21435598C211yesmaximal, characteristic, complemented
18#21435538C211yesmaximal, characteristic, complemented
19#21435514C211yesmaximal, characteristic, complemented
20#21435493C211yesmaximal, characteristic, complemented
21#21435208C211yesmaximal, characteristic, complemented
22#21435144C211yesmaximal, characteristic, complemented
23#21435069C211yesmaximal, characteristic, complemented
24#21434336C211yesmaximal, characteristic, complemented
25#21434305C211yesmaximal, characteristic, complemented
26#21434146C211yesmaximal, characteristic, complemented
27#21433634C211yesmaximal, characteristic, complemented
28#21433603C211yesmaximal, characteristic, complemented
29#21433559C211yesmaximal, characteristic, complemented
30#21433242C211yesmaximal, characteristic, complemented
31C59×#3330C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic
33C2×#14273755C2211yescharacteristic
34C2×#14273754C2211yescharacteristic
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273747C2211yescharacteristic
37C2×SD16×D59C2211yescharacteristic, complemented
38#16838149—21no—
39#16838140—21no—
40#16838135C2211yescharacteristic, complemented
41#16838135C2211yescharacteristic, complemented
42#16838126C2211yescharacteristic, complemented
43#16838113C2211yescharacteristic, complemented
44#16838100—21no—
45#16838100C2211yescharacteristic
46#16838097—21no—
47#16838087C2211yescharacteristic, complemented
48#16838080—21no—
49#16838079—21no—
50#16838075—21no—
51#16838071C2211yescharacteristic
52#16838062C2211yescharacteristic
53#16838059C2211yescharacteristic, complemented
54#16838049C2211yescharacteristic
55#16838048C2211yescharacteristic
56#16838048C2211yescharacteristic, complemented
57#16838043C2211yescharacteristic, complemented
58#16838040—21no—
59#16838036C2211yescharacteristic, complemented
60#16838026C2211yescharacteristic, complemented
61#16838012C2211yescharacteristic, complemented
62#16838005C2211yescharacteristic
63#16838004—21no—
64#16838003C2211yescharacteristic, complemented
65#16837999—21no—
66#16837998—21no—
67#16837988—21no—
68#16837988—21no—
69#16837984—21no—
70#16837977C2211yescharacteristic, complemented
71#16837966C2211yescharacteristic, complemented
72#16837948C2211yescharacteristic, complemented
73#16837938C2211yescharacteristic, complemented
74#16837933C2211yescharacteristic, complemented
75#16837932C2211yescharacteristic
76#16837909—21no—
77#123×D59—21no—
78#16837883C2211yescharacteristic
79#16837874C2211yescharacteristic, complemented
80C2×#14273689C2211yescharacteristic, complemented
81#16837794C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic
83#16837786C2211yescharacteristic, complemented
84#16837785C2211yescharacteristic, complemented
85#16837783C2211yescharacteristic, complemented
86#16837777C2211yescharacteristic
87#16837765C2211yescharacteristic, complemented
88#16837764C2211yescharacteristic, complemented
89#16837758C2211yescharacteristic, complemented
90#16837758C2211yescharacteristic, complemented
91#16837755C2211yescharacteristic, complemented
92#16837732C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837720C2211yescharacteristic, complemented
96#16837711C2211yescharacteristic, complemented
97#16837711C2211yescharacteristic, complemented
98#16837708C2211yescharacteristic, complemented
99#16837708C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837705C2211yescharacteristic, complemented
103#16837700C2211yescharacteristic, complemented
104#16837689C2211yescharacteristic, complemented
105#16837658C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837653C2211yescharacteristic
108#16837649C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837648C2211yescharacteristic, complemented
111#16837639C2211yescharacteristic
112#16837633C2211yescharacteristic, complemented
113#16837630C2211yescharacteristic, complemented
114#16837629C2211yescharacteristic, complemented
115#16837627C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837622C2211yescharacteristic, complemented
118#16837620C2211yescharacteristic
119#16837620C2211yescharacteristic
120#16837620C2211yescharacteristic
121#16837620C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837618C2211yescharacteristic
125#16837618C2211yescharacteristic, complemented
126#16837617C2211yescharacteristic, complemented
127#16837617C2211yescharacteristic, complemented
128#16837616C2211yescharacteristic, complemented
129#16837616C2211yescharacteristic, complemented
130#16837616C2211yescharacteristic, complemented
131#16837611C2211yescharacteristic, complemented
132#16837606C2211yescharacteristic, complemented
133#16837606C2211yescharacteristic, complemented
134#16837605C2211yescharacteristic, complemented
135#16837604C2211yescharacteristic, complemented
136#16837601C2211yescharacteristic, complemented
137#16837601C2211yescharacteristic, complemented
138#16837601C2211yescharacteristic, complemented
139#16837600C2211yescharacteristic, complemented
140#16837596C2211yescharacteristic
141#16837596C2211yescharacteristic
142#16837596C2211yescharacteristic, complemented
143#16837595C2211yescharacteristic, complemented
144#16837567C2211yescharacteristic, complemented
145#16837566C2211yescharacteristic
146#16837566C2211yescharacteristic, complemented
147#16837564C2211yescharacteristic, complemented
148#16837562C2211yescharacteristic
149#16837559C2211yescharacteristic, complemented
150#16837552C2211yescharacteristic, complemented
151#16837550C2211yescharacteristic
152#16837547C2211yescharacteristic, complemented
153#16837545C2211yescharacteristic
154#16837542C2211yescharacteristic, complemented
155#16837538C2211yescharacteristic
156#16837538C2211yescharacteristic, complemented
157#16837537C2211yescharacteristic
158#16837535C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837531C2211yescharacteristic, complemented
161C8×Dic118C2211yescharacteristic, complemented
162#16837512C2211yescharacteristic, complemented
163#16837512C2211yescharacteristic, complemented
164#16837506C2211yescharacteristic, complemented
165#16837501C2211yescharacteristic, complemented
166#16837496C2211yescharacteristic, complemented
167#16837487C2211yescharacteristic, complemented
168#16837487C2211yescharacteristic, complemented
169#16837487C2211yescharacteristic, complemented
170C4×D472C2211yescharacteristic
171#16837484C2211yescharacteristic
172#16837484C2211yescharacteristic, complemented
173#16837478C2211yescharacteristic, complemented
174#16837477C2211yescharacteristic, complemented
175#16837474C2211yescharacteristic, complemented
176#16837471C2211yescharacteristic, complemented
177(C22⋊D59)⋊C8C2211yescharacteristic, complemented
178#16837461C2211yescharacteristic, complemented
179#16837460C2211yescharacteristic, complemented
180#16837452C2211yescharacteristic, complemented
181#16837430C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183#16837425C2211yescharacteristic, complemented
184#16837409C2211yescharacteristic, complemented
185#16837401C2211yescharacteristic, complemented
186#16837397C2211yescharacteristic, complemented
187C2×#14273647C2211yescharacteristic, complemented
188C59×#547C2211yescharacteristic
189C59×#547C2211yescharacteristic, complemented
190C59×#487C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#484C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C4×D8×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×Q8×D59C2311yescharacteristic
207C22×D236C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C2×D4×D59—21no—
210C2×D4×D59C2311yescharacteristic
211C22×C4×D59—21no—
212#14273755—42no—
213#14273755—42no—
214#14273754—42no—
215#14273752—42no—
216#14273747—42no—
217C2×Dic236C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230SD16×D59—42no—
231C2×D472C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×D472C2311yescharacteristic
234C2×D472C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C2×#11745659C2311yescharacteristic
241C22×C59⋊C8C2311yescharacteristic
242C2×C8×D59C2311yescharacteristic
243#14273725C2311yescharacteristic
244#14273723—21no—
245#14273723C2311yescharacteristic
246#14273723C2311yescharacteristic
247#14273723C2311yescharacteristic
248#14273722—21no—
249#14273722—21no—
250#14273722—21no—
251#14273722—21no—
252#14273722—21no—
253#14273722—21no—
254#14273722D411yescharacteristic
255#14273720—21no—
256#14273720—21no—
257#14273720—21no—
258#14273720D411yescharacteristic
259#14273718—21no—
260#14273718C2311yescharacteristic
261#14273718C2311yescharacteristic
262#14273718C2311yescharacteristic
263#14273717—21no—
264#14273717—21no—
265#14273717D411yescharacteristic
266#14273716—21no—
267#14273716C2311yescharacteristic
268#14273716C2311yescharacteristic
269#14273716C2311yescharacteristic
270#14273715C2311yescharacteristic
271#14273715C2311yescharacteristic
272#14273714—21no—
273#14273714C2311yescharacteristic
274#14273714C2311yescharacteristic
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273713D411yescharacteristic
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273711—21no—
287#14273711—21no—
288#14273711D411yescharacteristic
289#14273710—21no—
290#14273710—21no—
291#14273710—21no—
292#14273710—21no—
293#14273709—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273709—21no—
298#14273708—21no—
299#14273708D411yescharacteristic
300#14273707—21no—
301#14273707—21no—
302#14273707C2311yescharacteristic
303#14273706—21no—
304#14273706C2311yescharacteristic
305#14273706C2311yescharacteristic
306#14273705—21no—
307#14273705—21no—
308#14273705—21no—
309#14273704D411yescharacteristic
310#14273703—21no—
311#14273703—21no—
312#14273703—21no—
313#14273702—21no—
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273701—21no—
317#14273701—21no—
318#14273701—21no—
319#14273701—21no—
320#14273701—21no—
321#14273701C2311yescharacteristic
322#14273701C2311yescharacteristic
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699D411yescharacteristic
332#14273698—21no—
333#14273698—21no—
334#14273698—21no—
335#14273698—21no—
336#14273698C2311yescharacteristic
337#14273697—21no—
338#14273697—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345Q8×Dic59C2311yescharacteristic
346Q8×Dic59C2311yescharacteristic
347C4×Dic118C2311yescharacteristic
348#14273692C2311yescharacteristic
349#14273692C2311yescharacteristic
350#14273692C2311yescharacteristic
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353D4×Dic59—21no—
354D4×Dic59C2311yescharacteristic
355#14273689—21no—
356#14273689—21no—
357#14273689—21no—
358#14273689C2311yescharacteristic
359#14273689C2311yescharacteristic
360#14273689C2311yescharacteristic
361#14273689C2311yescharacteristic
362#14273689C2311yescharacteristic
363#14273689C2311yescharacteristic
364C4×C22⋊D59—21no—
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59C2311yescharacteristic
375C4×C22⋊D59C2311yescharacteristic
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378#14273686—21no—
379#14273686C2311yescharacteristic
380#14273685—21no—
381#14273685—21no—
382#14273685—21no—
383#14273685C2311yescharacteristic
384#14273684C2311yescharacteristic
385#14273683—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59—21no—
388C2×(C2×D59)⋊C4—21no—
389C2×(C2×D59)⋊C4—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C2×C4×Dic59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436#14273638C2311yescharacteristic
437#14273637C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×#41×C59—21no—
442C2×#41×C59C2311yescharacteristic
443C2×#41×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×D8×C59C2311yescharacteristic
447C2×M16×C59C2311yescharacteristic
448C2×M16×C59C2311yescharacteristic
449C4⋊Q8×C59C2311yescharacteristic
450C4⋊Q8×C59C2311yescharacteristic
451#123×C59—21no—
452#123×C59—21no—
453#123×C59—21no—
454#123×C59—21no—
455C22⋊Q8×C59—21no—
456C22⋊Q8×C59C2311yescharacteristic
457C22⋊Q8×C59C2311yescharacteristic
458#121×C59—21no—
459#121×C59C2311yescharacteristic
460#121×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463C4×D4×C59C2311yescharacteristic
464C2×C4⋊C4×C59—21no—
465C2×C4⋊C4×C59C2311yescharacteristic
466C2×C4⋊C4×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#107×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487#41×C59—41no—
488#41×C59—41no—
489#41×C59—41no—
490#41×C59—41no—
491#41×C59—82no—
492C2×Q8×C59—21no—
493C2×Q8×C59C2411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59C2×D411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C22×C4×C59—21no—
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59C2411yescharacteristic
509C22×C4×C59C2411yescharacteristic
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—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59C2×D411yescharacteristic
523C2×C22⋊D59C2×D411yescharacteristic
524C22×Dic59—21no—
525C22×Dic59C2×D411yescharacteristic
526C22×Dic59C2×D411yescharacteristic
527#11745689—41no—
528#11745689—41no—
529Q8×D59—41no—
530Q8×D59—41no—
531D4×D59—22no—
532D4×D59—41no—
533D4×D59—82no—
534#11745685—22no—
535#11745685—41no—
536#11745685—41no—
537#11745685—41no—
538C2×D236—22no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—41no—
545C2×D236—41no—
546C2×D236—41no—
547C2×D236C2411yescharacteristic
548C2×D236C2411yescharacteristic
549C2×D236C2411yescharacteristic
550C2×D236C2411yescharacteristic
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×D59C2411yescharacteristic
565C2×Dic118—21no—
566C2×Dic118C2×D411yescharacteristic
567C2×Dic118C2411yescharacteristic
568C2×Dic118C2411yescharacteristic
569SD16×C59—41no—
570SD16×C59—41no—
571D8×C59—41no—
572M16×C59—41no—
573M16×C59—41no—
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C2×C8×C59C2411yescharacteristic
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
585C4⋊C4×C59C2×D411yescharacteristic
586C4⋊C4×C59C2411yescharacteristic
587C4⋊C4×C59C2411yescharacteristic
588C4⋊C4×C59C2411yescharacteristic
589C4⋊C4×C59C2411yescharacteristic
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59C2×D411yescharacteristic
597C22⋊C4×C59C2×D411yescharacteristic
598C42×C59C2411yescharacteristic
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59C2×D411yescharacteristic
608C22⋊Dic59C2×D411yescharacteristic
609C22⋊Dic59C2×D411yescharacteristic
610C22⋊Dic59C2×D411yescharacteristic
611#11745672—41no—
612#11745672—41no—
613#11745671—22no—
614#11745671—22no—
615#11745671—41no—
616#11745671—41no—
617#11745670—41no—
618#11745670—41no—
619#11745669—22no—
620#11745669—41no—
621#11745669—41no—
622#11745669—41no—
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)⋊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)⋊C4C2×D411yescharacteristic
648(C2×D59)⋊C4C2×D411yescharacteristic
649(C2×D59)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59C2×D411yescharacteristic
658C4⋊Dic59C2×D411yescharacteristic
659C4⋊Dic59C2×D411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2411yescharacteristic
687C4×Dic59C2411yescharacteristic
688C4×Dic59C2411yescharacteristic
689#11745664—41no—
690C2×C59⋊C8—41no—
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695Dic236—41no—
696D472—22no—
697D472—22no—
698D472—41no—
699D472—41no—
700#11745660—22no—
701#11745660—41no—
702#11745660—41no—
703#11745660—41no—
704#11745659—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59C22×D411yescharacteristic
709C23×C59C22×D411yescharacteristic
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—42no—
715C22×D59—42no—
716C22×D59—42no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59—81no—
723C22×D59C22×D411yescharacteristic
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—21no—
728Q8×C59—81no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—41no—
734D4×C59—42no—
735D4×C59—81no—
736D4×C59—81no—
737D4×C59—81no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—42no—
749C2×C4×C59—81no—
750C2×C4×C59—81no—
751C2×C4×C59—81no—
752C2×C4×C59—81no—
753C2×C4×C59—81no—
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C2511yescharacteristic
759C22⋊D59—41no—
760C22⋊D59—41no—
761C22⋊D59—42no—
762C22⋊D59—42no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—41no—
778C2×Dic59—41no—
779C2×Dic59—81no—
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786C2×Dic59C22×D411yescharacteristic
787D236—21no—
788D236—21no—
789D236—21no—
790D236—21no—
791D236—21no—
792D236—21no—
793D236—21no—
794D236—42no—
795D236—81no—
796D236—81no—
797D236—81no—
798D236—81no—
799D236H(5,𝔽2)12yes—
800C4×D59—21no—
801C4×D59—21no—
802C4×D59—42no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807C4×D59—81no—
808C4×D59—81no—
809C4×D59—81no—
810C4×D59—81no—
811C4×D59—81no—
812C4×D59—81no—
813C4×D59—81no—
814Dic118—21no—
815Dic118—21no—
816Dic118—21no—
817Dic118—21no—
818Dic118—41no—
819Dic118—81no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823C8×C59—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827C59⋊C8—21no—
828#62027—591nomaximal, Sylow
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—21no—
833C22×C59—21no—
834C22×C59—21no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59C23×D411yescharacteristic
842C2×D59—21no—
843C2×D59—21no—
844C2×D59—21no—
845C2×D59—22no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—84no—
858C2×D59—162no—
859C2×D59—162no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—21no—
863C4×C59—21no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59—41no—
869C4×C59—41no—
870C4×C59C2×H(5,𝔽2)11yescharacteristic
871C4×C59#58511yescharacteristic
872Dic59—21no—
873Dic59—21no—
874Dic59—21no—
875Dic59—21no—
876Dic59—21no—
877Dic59—21no—
878Dic59—21no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883#3562—591no—
884#3513—591no—
885#3401—591no—
886#3396—591no—
887#3370—591no—
888#3360—591no—
889#3330D5911yescharacteristic, complemented
890#3327—591no—
891#3326—591no—
892#3317—591no—
893#3306—591no—
894#3297—591no—
895#3282—591no—
896#3274—591no—
897#3273—591no—
898#3273—591no—
899#3267—591no—
900#3265—591no—
901#3260—591no—
902#3257—591no—
903#3256—591no—
904#3225—591no—
905#3220—591no—
906#3212—591no—
907#3122—591no—
908#3120—591no—
909#3105—591no—
910#3045—591no—
911#3042—591no—
912#3036—591no—
913#2993—591no—
914C2×C59—41no—
915C2×C59—41no—
916C2×C59—81no—
917C2×C59—81no—
918C2×C59#348811yescharacteristic
919C2×C59#358411yescharacteristic
920C2×C59#358511yescharacteristic
921D59—41no—
922D59—42no—
923D59—81no—
924D59—81no—
925D59—81no—
926C2×AGL(1,ℤ/8)—591no—
927C2×AGL(1,ℤ/8)—591no—
928C2×AGL(1,ℤ/8)—591no—
929C2×AGL(1,ℤ/8)—591no—
930C2×#135—591no—
931C22×SD16—591no—
932#562—1181no—
933#560—1181no—
934#559—591no—
935#559—591no—
936#556—591no—
937#554—591no—
938#553—591no—
939#553—1181no—
940#553—1181no—
941#552—591no—
942#551—1181no—
943#551—1181no—
944#551—1181no—
945#550—591no—
946#548—591no—
947#548—591no—
948#547C2×D5911yescharacteristic
949#547C2×D5911yescharacteristic, complemented
950#546—591no—
951#546—591no—
952#546—591no—
953#546—591no—
954#546—1181no—
955D42—591no—
956#542—591no—
957#541—591no—
958#540—591no—
959#540—591no—
960#540—1181no—
961#539—1181no—
962#539—1181no—
963#538—1181no—
964#538—1181no—
965#538—1181no—
966#536—591no—
967#535—591no—
968#532—591no—
969#529—591no—
970#529—591no—
971#529—591no—
972#525—1181no—
973C2×#123—1181no—
974#520—591no—
975#518—591no—
976C2×C4×D4—591no—
977#497—591no—
978#496—591no—
979#495—591no—
980#495—591no—
981#495—591no—
982#493—591no—
983#490—591no—
984#489—591no—
985#488—591no—
986#488—591no—
987#488—591no—
988#487C2×D5911yescharacteristic, complemented
989#484C2×D5911yescharacteristic, complemented
990#484C2×D5911yescharacteristic, complemented
991#483—591no—
992#482—591no—
993#482—591no—
994#481—591no—
995#479—591no—
996#479—591no—
997#479—591no—
998#479—591no—
999#478—591no—
1000#478—591no—
1001#478—591no—
1002#478—591no—
1003#476—591no—
1004#474C2×D5911yescharacteristic, complemented
1005#470—591no—
1006#469—591no—
1007#469—591no—
1008#468—591no—
1009#468—591no—
1010#468—591no—
1011#468C2×D5911yescharacteristic, complemented
1012#468C2×D5911yescharacteristic, complemented
1013#466—591no—
1014#465—591no—
1015#465—591no—
1016#465—591no—
1017#464—591no—
1018#464—591no—
1019#464—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463—591no—
1032#463—591no—
1033#462—591no—
1034#461—591no—
1035#461—591no—
1036#461—591no—
1037#461—591no—
1038#461C2×D5911yescharacteristic, complemented
1039#460—591no—
1040#460—591no—
1041#460—591no—
1042#460—591no—
1043#459—591no—
1044#459—591no—
1045#459—591no—
1046#459—591no—
1047#452—591no—
1048#452—591no—
1049#452—591no—
1050#452—591no—
1051#452—591no—
1052#451—591no—
1053#450—591no—
1054#449—591no—
1055#449—591no—
1056#449—591no—
1057#449C2×D5911yescharacteristic, complemented
1058#449C2×D5911yescharacteristic, complemented
1059#448—591no—
1060#447—591no—
1061#447—591no—
1062#447—591no—
1063#447—591no—
1064#447—591no—
1065#446—591no—
1066C8×Q8—591no—
1067#442—591no—
1068#442—591no—
1069#441—591no—
1070#440—591no—
1071C4×Q16—591no—
1072C4×SD16—591no—
1073C4×SD16—591no—
1074C4×SD16—591no—
1075C4×D8—591no—
1076C4×D8—591no—
1077C4×D8—591no—
1078C4×D8C2×D5911yescharacteristic, complemented
1079#436—591no—
1080#436—591no—
1081#436C2×D5911yescharacteristic, complemented
1082#435—591no—
1083#435—591no—
1084C8×D4—591no—
1085#433—591no—
1086#433—591no—
1087#431—591no—
1088#424—591no—
1089#424—591no—
1090#423—591no—
1091#419—591no—
1092#417—591no—
1093#417C2×D5911yescharacteristic, complemented
1094#417C2×D5911yescharacteristic, complemented
1095#416—591no—
1096C2×#102—591no—
1097C59#6202711yescharacteristic, complemented, Sylow
1098C2×#41—21no—
1099C2×#41—591no—
1100C2×#41—591no—
1101C2×#41—591no—
1102C2×#41C22×D5911yescharacteristic
1103C2×#41C22×D5911yescharacteristic
1104C22×Q8—591no—
1105C22×D4—591no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—1181no—
1109C23×C4—1181no—
1110AGL(1,ℤ/8)—2362no—
1111AGL(1,ℤ/8)—2362no—
1112AGL(1,ℤ/8)—2362no—
1113AGL(1,ℤ/8)—2362no—
1114#135—2362no—
1115C2×Q16—591no—
1116C2×Q16—591no—
1117C2×Q16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—591no—
1128C2×SD16—2362no—
1129C2×SD16C22×D5911yescharacteristic
1130C2×SD16C22×D5911yescharacteristic
1131C2×D8—591no—
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8—591no—
1135C2×D8—591no—
1136C2×D8—591no—
1137C2×D8—591no—
1138C2×D8—591no—
1139C2×D8C22×D5911yescharacteristic
1140C2×M16—591no—
1141C2×M16—591no—
1142C2×M16C22×D5911yescharacteristic
1143C2×M16C22×D5911yescharacteristic
1144C22×C8—591no—
1145C22×C8—591no—
1146C4⋊Q8—591no—
1147C4⋊Q8C22×D5911yescharacteristic
1148C4⋊Q8C22×D5911yescharacteristic
1149#127—591no—
1150#127—591no—
1151#127—591no—
1152#127—1181no—
1153#126—591no—
1154#126—591no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#126—1181no—
1163#126—1181no—
1164#125—591no—
1165#125—591no—
1166#125—591no—
1167#125—591no—
1168#125—1181no—
1169#125—1181no—
1170#125—1181no—
1171#124—591no—
1172#124—591no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—591no—
1177#124—591no—
1178#124—591no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—591no—
1189#123—591no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209C22⋊Q8—21no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—591no—
1213C22⋊Q8—591no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8C22×D5911yescharacteristic
1224C22⋊Q8C22×D5911yescharacteristic
1225#121—21no—
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
1230#121—591no—
1231#121—591no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121C22×D5911yescharacteristic
1251#121C22×D5911yescharacteristic
1252#120—1181no—
1253#120—1181no—
1254#120—1181no—
1255#120—1181no—
1256#120—1181no—
1257#120—1181no—
1258#120—1181no—
1259#120—1181no—
1260C4×Q8—591no—
1261C4×Q8—591no—
1262C4×Q8—591no—
1263C4×Q8—591no—
1264C4×Q8—591no—
1265C4×Q8—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4C22×D5911yescharacteristic
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296#117—591no—
1297#117—591no—
1298#117—591no—
1299#117—1181no—
1300#117—1181no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304C2×C4⋊C4—21no—
1305C2×C4⋊C4—1181no—
1306C2×C4⋊C4—1181no—
1307C2×C4⋊C4C22×D5911yescharacteristic
1308C2×C4⋊C4C22×D5911yescharacteristic
1309C2×C22⋊C4—1181no—
1310C2×C22⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C42—591no—
1317#107—591no—
1318#107C22×D5911yescharacteristic
1319#107C22×D5911yescharacteristic
1320#107C22×D5911yescharacteristic
1321#106—591no—
1322#106—591no—
1323#106—591no—
1324#106—591no—
1325C4⋊C8—591no—
1326C4⋊C8—591no—
1327C4⋊C8—591no—
1328C4⋊C8—591no—
1329C4⋊C8—591no—
1330C4⋊C8—591no—
1331C4⋊C8—591no—
1332C4⋊C8—591no—
1333C4⋊C8—591no—
1334C4⋊C8C22×D5911yescharacteristic
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#103—591no—
1342#103—591no—
1343#103C22×D5911yescharacteristic
1344#103C22×D5911yescharacteristic
1345#103C22×D5911yescharacteristic
1346#103C22×D5911yescharacteristic
1347#103C22×D5911yescharacteristic
1348#103C22×D5911yescharacteristic
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#102C22×D5911yescharacteristic
1364#102C22×D5911yescharacteristic
1365#102C22×D5911yescharacteristic
1366#102C22×D5911yescharacteristic
1367C22⋊C8—591no—
1368C22⋊C8—591no—
1369C22⋊C8—591no—
1370C22⋊C8—591no—
1371C22⋊C8C22×D5911yescharacteristic
1372C22⋊C8C22×D5911yescharacteristic
1373#97—591no—
1374#97—591no—
1375C4×C8—591no—
1376C4×C8—591no—
1377C4×C8—591no—
1378C4×C8C22×D5911yescharacteristic
1379C24—1181no—
1380C24—1181no—
1381C24—1181no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—82no—
1387#41—1182no—
1388#41—2361no—
1389#41—2361no—
1390#41—2361no—
1391#41—2361no—
1392#41—2361no—
1393C2×Q8—21no—
1394C2×Q8—591no—
1395C2×Q8—591no—
1396C2×Q8—591no—
1397C2×Q8—1181no—
1398C2×Q8—2361no—
1399C2×Q8—2361no—
1400C2×Q8C23×D5911yescharacteristic
1401C2×Q8C23×D5911yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—591no—
1410C2×D4—591no—
1411C2×D4—591no—
1412C2×D4—1182no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1182no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—4722no—
1432C2×D4—2361no—
1433C2×D4—2361no—
1434C2×D4—2361no—
1435C2×D4—2361no—
1436C2×D4D4×D5911yescharacteristic
1437C2×D4C23×D5911yescharacteristic
1438C2×D4C23×D5911yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—591no—
1446C22×C4—591no—
1447C22×C4—591no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—4722no—
1462C22×C4C23×D5911yescharacteristic
1463C22×C4C23×D5911yescharacteristic
1464Q16—2361no—
1465Q16—2361no—
1466Q16—2361no—
1467SD16—41no—
1468SD16—41no—
1469SD16—1182no—
1470SD16—1182no—
1471SD16—1182no—
1472SD16—2361no—
1473SD16—2361no—
1474SD16—2361no—
1475SD16—2361no—
1476SD16—2361no—
1477SD16—2361no—
1478SD16—2361no—
1479D8—41no—
1480D8—1182no—
1481D8—1182no—
1482D8—1182no—
1483D8—2361no—
1484D8—2361no—
1485D8—2361no—
1486D8—2361no—
1487D8—2361no—
1488M16—41no—
1489M16—41no—
1490M16—2361no—
1491M16—2361no—
1492C2×C8—591no—
1493C2×C8—591no—
1494C2×C8—591no—
1495C2×C8—591no—
1496C2×C8—2361no—
1497C2×C8—2361no—
1498C2×C8C23×D5911yescharacteristic
1499C2×C8C23×D5911yescharacteristic
1500C2×C8C23×D5911yescharacteristic
1501C2×C8C23×D5911yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
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—1181no—
1521C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1537C4⋊C4C23×D5911yescharacteristic
1538C4⋊C4C23×D5911yescharacteristic
1539C4⋊C4C23×D5911yescharacteristic
1540C4⋊C4C23×D5911yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—591no—
1550C22⋊C4—591no—
1551C22⋊C4—591no—
1552C22⋊C4—591no—
1553C22⋊C4—591no—
1554C22⋊C4—591no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
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—591no—
1590C42—591no—
1591C42—591no—
1592C42—591no—
1593C42—591no—
1594C42—1181no—
1595C42—1181no—
1596C42—1181no—
1597C42—1181no—
1598C42—1181no—
1599C42—1181no—
1600C42C23×D5911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—591no—
1604C23—1181no—
1605C23—1181no—
1606C23—1181no—
1607C23—1181no—
1608C23—4721no—
1609C23—4721no—
1610C23—4721no—
1611C23—4721no—
1612C23—4721no—
1613C23—4721no—
1614C23—2362no—
1615C23—2362no—
1616C23—2362no—
1617C23C2×D4×D5911yescharacteristic
1618C23C2×D4×D5911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—81no—
1624Q8—1181no—
1625Q8—1181no—
1626Q8—1181no—
1627Q8—1181no—
1628Q8—4721no—
1629Q8—2361no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—41no—
1635D4—42no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—592no—
1640D4—1181no—
1641D4—1181no—
1642D4—1181no—
1643D4—1181no—
1644D4—1181no—
1645D4—1181no—
1646D4—1181no—
1647D4—4721no—
1648D4—4721no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—4721no—
1653D4—4721no—
1654D4—4721no—
1655D4—4721no—
1656D4—4721no—
1657D4—4721no—
1658D4—4721no—
1659D4—4721no—
1660D4—4721no—
1661D4—2362no—
1662D4—2361no—
1663D4—2361no—
1664D4—2362no—
1665D4—2362no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—42no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—81no—
1681C2×C4—81no—
1682C2×C4—591no—
1683C2×C4—591no—
1684C2×C4—591no—
1685C2×C4—591no—
1686C2×C4—591no—
1687C2×C4—591no—
1688C2×C4—591no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—4721no—
1696C2×C4—4721no—
1697C2×C4—4721no—
1698C2×C4—4721no—
1699C2×C4—4721no—
1700C2×C4—4721no—
1701C2×C4—4721no—
1702C2×C4—4721no—
1703C2×C4—4721no—
1704C2×C4—4721no—
1705C2×C4—4721no—
1706C2×C4—4721no—
1707C2×C4—2362no—
1708C2×C4—2361no—
1709C2×C4—2361no—
1710C2×C4C2×D4×D5911yescharacteristic
1711C2×C4C2×D4×D5911yescharacteristic
1712C2×C4C2×D4×D5911yescharacteristic
1713C2×C4C2×D4×D5911yescharacteristic
1714C2×C4C24×D5911yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1181no—
1720C8—1181no—
1721C8—1181no—
1722C8—1181no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—1181no—
1736C22—1182no—
1737C22—1181no—
1738C22—1181no—
1739C22—9442no—
1740C22—9442no—
1741C22—4724no—
1742C22—2361no—
1743C22—2361no—
1744C22—2361no—
1745C22—2361no—
1746C22—2361no—
1747C22—2361no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22C22×D4×D5911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—1181no—
1765C4—1181no—
1766C4—1181no—
1767C4—1181no—
1768C4—1181no—
1769C4—1181no—
1770C4—1181no—
1771C4—2361no—
1772C4—2361no—
1773C4—2361no—
1774C4—2361no—
1775C4H(5,𝔽2)×D5911yescharacteristic
1776C4#1683823811yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—81no—
1780C2—81no—
1781C2—4721no—
1782C2—4721no—
1783C2—4721no—
1784C2—2361no—
1785C2—2362no—
1786C2#2143775911yescharacteristic
1787C2#2143886611yescharacteristic
1788C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3330C2
socleC22×C59C23×D4
hypercenter#3330D59
hypocenterC59#62027
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3330

Complements

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

NH ≅ G/Ntype
1. #21438689C2semidirect
2. #21438031C2semidirect
3. #21437169C2semidirect
4. #21437108C2semidirect
5. #21436856C2semidirect
6. #21436750C2semidirect
7. #21436367C2semidirect
8. #21436350C2semidirect
9. #21436223C2semidirect
10. #21436051C2semidirect
11. #21435944C2semidirect
12. #21435806C2semidirect
13. #21435709C2semidirect
14. #21435708C2semidirect
15. #21435704C2semidirect
16. #21435622C2semidirect
17. #21435598C2semidirect
18. #21435538C2semidirect
19. #21435514C2semidirect
20. #21435493C2semidirect
21. #21435208C2semidirect
22. #21435144C2semidirect
23. #21435069C2semidirect
24. #21434336C2semidirect
25. #21434305C2semidirect
26. #21434146C2semidirect
27. #21433634C2semidirect
28. #21433603C2semidirect
29. #21433559C2semidirect
30. #21433242C2semidirect
31. C59×#3330C2semidirect
35. C2×#14273752C22semidirect
37. C2×SD16×D59C22semidirect
40. #16838135C22semidirect
41. #16838135C22semidirect
42. #16838126C22semidirect
43. #16838113C22semidirect
47. #16838087C22semidirect
53. #16838059C22semidirect
56. #16838048C22semidirect
57. #16838043C22semidirect
59. #16838036C22semidirect
60. #16838026C22semidirect
61. #16838012C22semidirect
64. #16838003C22semidirect
70. #16837977C22semidirect
71. #16837966C22semidirect
72. #16837948C22semidirect
73. #16837938C22semidirect
74. #16837933C22semidirect
79. #16837874C22semidirect
80. C2×#14273689C22semidirect
81. #16837794C22semidirect
83. #16837786C22semidirect
84. #16837785C22semidirect
85. #16837783C22semidirect
87. #16837765C22semidirect
88. #16837764C22semidirect
89. #16837758C22semidirect
90. #16837758C22semidirect
91. #16837755C22semidirect
92. #16837732C22semidirect
93. #16837729C22semidirect
94. #16837724C22semidirect
95. #16837720C22semidirect
96. #16837711C22semidirect
97. #16837711C22semidirect
98. #16837708C22semidirect
99. #16837708C22semidirect
100. #16837705C22semidirect
101. #16837705C22semidirect
102. #16837705C22semidirect
103. #16837700C22semidirect
104. #16837689C22semidirect
105. #16837658C22semidirect
106. #16837654C22semidirect
108. #16837649C22semidirect
109. #16837648C22semidirect
110. #16837648C22semidirect
112. #16837633C22semidirect
113. #16837630C22semidirect
114. #16837629C22semidirect
115. #16837627C22semidirect
116. #16837627C22semidirect
117. #16837622C22semidirect
121. #16837620C22semidirect
122. #16837620C22semidirect
123. #16837619C22semidirect
125. #16837618C22semidirect
126. #16837617C22semidirect
127. #16837617C22semidirect
128. #16837616C22semidirect
129. #16837616C22semidirect
130. #16837616C22semidirect
131. #16837611C22semidirect
132. #16837606C22semidirect
133. #16837606C22semidirect
134. #16837605C22semidirect
135. #16837604C22semidirect
136. #16837601C22semidirect
137. #16837601C22semidirect
138. #16837601C22semidirect
139. #16837600C22semidirect
142. #16837596C22semidirect
143. #16837595C22semidirect
144. #16837567C22semidirect
146. #16837566C22semidirect
147. #16837564C22semidirect
149. #16837559C22semidirect
150. #16837552C22semidirect
152. #16837547C22semidirect
154. #16837542C22semidirect
156. #16837538C22semidirect
158. #16837535C22semidirect
159. #16837534C22semidirect
160. #16837531C22semidirect
161. C8×Dic118C22semidirect
162. #16837512C22semidirect
163. #16837512C22semidirect
164. #16837506C22semidirect
165. #16837501C22semidirect
166. #16837496C22semidirect
167. #16837487C22semidirect
168. #16837487C22semidirect
169. #16837487C22semidirect
172. #16837484C22semidirect
173. #16837478C22semidirect
174. #16837477C22semidirect
175. #16837474C22semidirect
176. #16837471C22semidirect
177. (C22⋊D59)⋊C8C22semidirect
178. #16837461C22semidirect
179. #16837460C22semidirect
180. #16837452C22semidirect
181. #16837430C22semidirect
182. #16837427C22semidirect
183. #16837425C22semidirect
184. #16837409C22semidirect
185. #16837401C22semidirect
186. #16837397C22semidirect
187. C2×#14273647C22semidirect
189. C59×#547C22semidirect
190. C59×#487C22semidirect
191. C59×#484C22semidirect
192. C59×#484C22semidirect
193. C59×#474C22semidirect
194. C59×#468C22semidirect
195. C59×#468C22semidirect
196. C59×#461C22semidirect
197. C59×#449C22semidirect
198. C59×#449C22semidirect
199. C4×D8×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#417C22semidirect
202. C59×#417C22semidirect
889. #3330D59semidirect
949. #547C2×D59semidirect
988. #487C2×D59semidirect
989. #484C2×D59semidirect
990. #484C2×D59semidirect
1004. #474C2×D59semidirect
1011. #468C2×D59semidirect
1012. #468C2×D59semidirect
1038. #461C2×D59semidirect
1057. #449C2×D59semidirect
1058. #449C2×D59semidirect
1078. C4×D8C2×D59semidirect
1081. #436C2×D59semidirect
1093. #417C2×D59semidirect
1094. #417C2×D59semidirect
1097. C59#62027semidirect

Maximal subgroups

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

subgroupindex
#214386892
#214380312
#214371692
#214371082
#214368562
#214367502
#214363672
#214363502
#214362232
#214360512
#214359442
#214358062
#214357092
#214357082
#214357042
#214356222
#214355982
#214355382
#214355142
#214354932
#214352082
#214351442
#214350692
#214343362
#214343052
#214341462
#214336342
#214336032
#214335592
#214332422
C59×#33302
#6202759