Finite Group Databasebeta

← #29482213

Subgroups — #29482213

Order 15104.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438667C211yesmaximal, characteristic, complemented
2#21438118C211yesmaximal, characteristic, complemented
3#21437117C211yesmaximal, characteristic, complemented
4#21437114C211yesmaximal, characteristic, complemented
5#21436924C211yesmaximal, characteristic, complemented
6#21436919C211yesmaximal, characteristic, complemented
7#21436285C211yesmaximal, characteristic, complemented
8#21436280C211yesmaximal, characteristic, complemented
9#21436272C211yesmaximal, characteristic, complemented
10#21436270C211yesmaximal, characteristic, complemented
11#21435951C211yesmaximal, characteristic, complemented
12#21435949C211yesmaximal, characteristic, complemented
13SD16×D236C211yesmaximal, characteristic, complemented
14#21435790C211yesmaximal, characteristic, complemented
15#21435595C211yesmaximal, characteristic, complemented
16#21435589C211yesmaximal, characteristic, complemented
17#21435578C211yesmaximal, characteristic, complemented
18#21435574C211yesmaximal, characteristic, complemented
19#21435507C211yesmaximal, characteristic, complemented
20#21435506C211yesmaximal, characteristic, complemented
21#21435414C211yesmaximal, characteristic, complemented
22#21435159C211yesmaximal, characteristic, complemented
23#21435154C211yesmaximal, characteristic, complemented
24#21435081C211yesmaximal, characteristic, complemented
25#21434287C211yesmaximal, characteristic, complemented
26#21434197C211yesmaximal, characteristic, complemented
27#21433608C211yesmaximal, characteristic, complemented
28#21433606C211yesmaximal, characteristic, complemented
29#463×D59C211yesmaximal, characteristic, complemented
30#21433230C211yesmaximal, characteristic, complemented
31C59×#3118C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic
33C2×#14273751C2211yescharacteristic
34C22×#11745670C2211yescharacteristic, complemented
35C2×SD16×D59C2211yescharacteristic
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×D8×D59C2211yescharacteristic
38#16838154—21no—
39#16838149—21no—
40#16838124C2211yescharacteristic, complemented
41#16838122C2211yescharacteristic, complemented
42#16838115C2211yescharacteristic, complemented
43#16838111C2211yescharacteristic, complemented
44#16838102C2211yescharacteristic
45#16838101—21no—
46#16838096C2211yescharacteristic
47#16838077—21no—
48#16838075—21no—
49#16838073C2211yescharacteristic, complemented
50Q8×D236C2211yescharacteristic, complemented
51#16838065C2211yescharacteristic, complemented
52#16838062C2211yescharacteristic, complemented
53#16838058C2211yescharacteristic, complemented
54#16838049C2211yescharacteristic, complemented
55#16838048—21no—
56#16838047C2211yescharacteristic, complemented
57#16838042—21no—
58#16838042—21no—
59D4×D236C2211yescharacteristic
60D4×C22⋊D59C2211yescharacteristic
61D4×C22⋊D59C2211yescharacteristic, complemented
62#16838027—21no—
63#16838026C2211yescharacteristic, complemented
64#16838025—21no—
65#16838021—21no—
66#16838007C2211yescharacteristic, complemented
67#16838003C2211yescharacteristic, complemented
68#16837990—21no—
69#16837986—21no—
70#16837985—21no—
71#16837978C2211yescharacteristic, complemented
72#16837972C2211yescharacteristic, complemented
73#16837957C2211yescharacteristic, complemented
74#16837949C2211yescharacteristic
75#16837930C2211yescharacteristic
76#124×D59C2211yescharacteristic, complemented
77#16837911—21no—
78C2×#14273700—21no—
79#16837874C2211yescharacteristic, complemented
80C4×D4×D59C2211yescharacteristic
81#16837791C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic, complemented
83#16837790C2211yescharacteristic, complemented
84#16837788C2211yescharacteristic, complemented
85#16837775C2211yescharacteristic, complemented
86#16837773C2211yescharacteristic, complemented
87#16837771C2211yescharacteristic, complemented
88#16837769C2211yescharacteristic, complemented
89#16837763C2211yescharacteristic, complemented
90#16837760C2211yescharacteristic, complemented
91#16837757C2211yescharacteristic, complemented
92#16837755C2211yescharacteristic, complemented
93#16837745C2211yescharacteristic, complemented
94#16837739C2211yescharacteristic, complemented
95#16837739C2211yescharacteristic, complemented
96#16837729C2211yescharacteristic, complemented
97#16837712C2211yescharacteristic, complemented
98#16837709C2211yescharacteristic, complemented
99#16837702C2211yescharacteristic, complemented
100#16837701C2211yescharacteristic, complemented
101#16837689C2211yescharacteristic, complemented
102#16837686C2211yescharacteristic, complemented
103#16837686C2211yescharacteristic, complemented
104#16837679C2211yescharacteristic, complemented
105#16837656C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837650C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837637C2211yescharacteristic, complemented
110#16837636C2211yescharacteristic, complemented
111#16837633C2211yescharacteristic, complemented
112#16837632C2211yescharacteristic, complemented
113#16837632C2211yescharacteristic, complemented
114#16837632C2211yescharacteristic, complemented
115#16837630C2211yescharacteristic, complemented
116#16837630C2211yescharacteristic, complemented
117#16837620C2211yescharacteristic, complemented
118#16837619C2211yescharacteristic
119#16837618C2211yescharacteristic, complemented
120#16837618C2211yescharacteristic, complemented
121#16837617C2211yescharacteristic
122#16837617C2211yescharacteristic
123#16837617C2211yescharacteristic, complemented
124#16837617C2211yescharacteristic, complemented
125#16837616C2211yescharacteristic, complemented
126#16837616C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic
128#16837615C2211yescharacteristic
129#16837614C2211yescharacteristic, complemented
130#16837614C2211yescharacteristic, complemented
131#16837608C2211yescharacteristic, complemented
132#16837608C2211yescharacteristic, complemented
133#16837607C2211yescharacteristic, complemented
134#16837607C2211yescharacteristic, complemented
135#16837607C2211yescharacteristic, complemented
136#16837607C2211yescharacteristic, complemented
137#16837606C2211yescharacteristic, complemented
138#16837605C2211yescharacteristic, complemented
139#16837602C2211yescharacteristic, complemented
140#16837601C2211yescharacteristic, complemented
141#16837601C2211yescharacteristic, complemented
142#16837601C2211yescharacteristic, complemented
143#16837597C2211yescharacteristic, complemented
144#16837596C2211yescharacteristic, complemented
145#16837554C2211yescharacteristic
146#16837554C2211yescharacteristic
147#16837554C2211yescharacteristic, complemented
148#16837549C2211yescharacteristic, complemented
149#16837549C2211yescharacteristic, complemented
150#16837548C2211yescharacteristic, complemented
151#16837544C2211yescharacteristic, complemented
152#16837543C2211yescharacteristic, complemented
153#16837543C2211yescharacteristic, complemented
154#16837542C2211yescharacteristic, complemented
155#16837542C2211yescharacteristic, complemented
156#16837539C2211yescharacteristic, complemented
157#16837539C2211yescharacteristic, complemented
158#16837537C2211yescharacteristic
159#16837537C2211yescharacteristic, complemented
160#16837534C2211yescharacteristic, complemented
161#16837532C2211yescharacteristic, complemented
162#16837530C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic
164#16837501C2211yescharacteristic, complemented
165#16837501C2211yescharacteristic, complemented
166#16837501C2211yescharacteristic, complemented
167#16837499C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169#16837493C2211yescharacteristic, complemented
170#16837484C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837476C2211yescharacteristic, complemented
173#16837475C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175C8×D236C2211yescharacteristic, complemented
176(C22⋊D59)⋊C8C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837458C2211yescharacteristic, complemented
179#16837429C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181C4⋊C8×D59C2211yescharacteristic, complemented
182#16837410C2211yescharacteristic, complemented
183#16837409C2211yescharacteristic, complemented
184#16837396C2211yescharacteristic, complemented
185#16837395C2211yescharacteristic, complemented
186#103×D59C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C59×#542C2211yescharacteristic, complemented
189C59×#518C2211yescharacteristic, complemented
190C59×#485C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#476C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic
195C59×#463C2211yescharacteristic, complemented
196C59×#450C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic
198C59×#442C2211yescharacteristic
199C59×#440C2211yescharacteristic, complemented
200C4×SD16×C59C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C22×Dic118C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C2×Q8×D59C2311yescharacteristic
210C22×D236—21no—
211C22×C22⋊D59—21no—
212C22×C22⋊D59—21no—
213C2×D4×D59C2311yescharacteristic
214C2×D4×D59C2311yescharacteristic
215C2×D4×D59C2311yescharacteristic
216C22×C4×D59—21no—
217#14273753—42no—
218#14273751—42no—
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745670—42no—
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234SD16×D59—42no—
235SD16×D59—42no—
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242D8×D59—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C22×C59⋊C8C2311yescharacteristic
246C2×C8×D59C2311yescharacteristic
247C2×C8×D59C2311yescharacteristic
248C2×C8×D59C2311yescharacteristic
249#14273727—21no—
250#14273727C2311yescharacteristic
251#14273727C2311yescharacteristic
252#14273726—21no—
253#14273726C2311yescharacteristic
254#14273725C2311yescharacteristic
255#14273724C2311yescharacteristic
256#14273723C2311yescharacteristic
257#14273723C2311yescharacteristic
258#14273722—21no—
259#14273722—21no—
260#14273722D411yescharacteristic
261#14273721—21no—
262#14273721—21no—
263#14273720—21no—
264#14273720—21no—
265#14273720—21no—
266#14273720D411yescharacteristic
267#14273719C2311yescharacteristic
268#14273718—21no—
269#14273718C2311yescharacteristic
270#14273717D411yescharacteristic
271#14273716—21no—
272#14273716C2311yescharacteristic
273#14273715—21no—
274#14273715C2311yescharacteristic
275#14273715C2311yescharacteristic
276#14273714C2311yescharacteristic
277#14273714C2311yescharacteristic
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713D411yescharacteristic
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712D411yescharacteristic
289#14273711—21no—
290#14273711—21no—
291#14273711—21no—
292#14273710—21no—
293#14273710—21no—
294#14273709—21no—
295#14273709—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709—21no—
299#14273709D411yescharacteristic
300#14273707—21no—
301#14273707—21no—
302#14273707—21no—
303#14273707—21no—
304#14273707C2311yescharacteristic
305#14273707C2311yescharacteristic
306#14273707C2311yescharacteristic
307#14273706—21no—
308#14273706—21no—
309#14273705—21no—
310#14273705—21no—
311#14273705—21no—
312#14273705D411yescharacteristic
313#14273704—21no—
314#14273704—21no—
315#14273704—21no—
316#14273704—21no—
317#14273704—21no—
318#14273704—21no—
319#14273703—21no—
320#14273703—21no—
321#14273702C2311yescharacteristic
322#14273702C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273701—21no—
325#14273701—21no—
326#14273701—21no—
327#14273701—21no—
328#14273701C2311yescharacteristic
329#14273701C2311yescharacteristic
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700D411yescharacteristic
341#14273699—21no—
342#14273699—21no—
343#14273699—21no—
344#14273698—21no—
345#14273698C2311yescharacteristic
346#14273698C2311yescharacteristic
347#14273697—21no—
348#14273697—21no—
349#14273697—21no—
350#14273696—21no—
351#14273696—21no—
352#14273695—21no—
353#14273695—21no—
354#14273695—21no—
355Q8×Dic59—21no—
356C4×Dic118C2311yescharacteristic
357#14273692C2311yescharacteristic
358#14273692C2311yescharacteristic
359#14273692C2311yescharacteristic
360C4×D236—21no—
361C4×D236—21no—
362C4×D236C2311yescharacteristic
363C4×D236C2311yescharacteristic
364C4×D236C2311yescharacteristic
365D4×Dic59—21no—
366D4×Dic59C2311yescharacteristic
367D4×Dic59C2311yescharacteristic
368#14273689—21no—
369#14273689C2311yescharacteristic
370#14273689C2311yescharacteristic
371#14273689C2311yescharacteristic
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59—21no—
376C4×C22⋊D59C2311yescharacteristic
377C4×C22⋊D59C2311yescharacteristic
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381#14273686—21no—
382#14273685—21no—
383#14273685C2311yescharacteristic
384#14273684—21no—
385#14273684—21no—
386#14273684C2311yescharacteristic
387C2×Dic59⋊C4—21no—
388C4⋊C4×D59C2311yescharacteristic
389C2×(C2×D59)⋊C4—21no—
390C2×(C2×D59)⋊C4—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396C42×D59C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
439#14273637C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C22×D4×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×D8×C59C2311yescharacteristic
446C4⋊Q8×C59C2311yescharacteristic
447#126×C59—21no—
448#124×C59—21no—
449#124×C59C2311yescharacteristic
450#123×C59—21no—
451C22⋊Q8×C59—21no—
452C22⋊Q8×C59C2311yescharacteristic
453#121×C59C2311yescharacteristic
454C4×Q8×C59C2311yescharacteristic
455C4×D4×C59—21no—
456C4×D4×C59—21no—
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462#117×C59C2311yescharacteristic
463#117×C59C2311yescharacteristic
464C2×C22⋊C4×C59—21no—
465C2×C22⋊C4×C59—21no—
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470C4⋊C8×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C2×Q8×C59—21no—
489C2×Q8×C59C2411yescharacteristic
490C2×D4×C59—22no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—41no—
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C2×D4×C59C2411yescharacteristic
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59C2411yescharacteristic
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—82no—
517C2×C22⋊D59—82no—
518C2×C22⋊D59C2×D411yescharacteristic
519C2×C22⋊D59C2×D411yescharacteristic
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524Q8×D59—41no—
525Q8×D59—41no—
526Q8×D59—41no—
527Q8×D59—41no—
528#11745687—41no—
529#11745687—41no—
530D4×D59—22no—
531D4×D59—22no—
532D4×D59—41no—
533D4×D59—41no—
534D4×D59—41no—
535D4×D59—41no—
536#11745685—41no—
537#11745685—41no—
538#11745685—82no—
539#11745685—82no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—21no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—82no—
546C2×D236C2×D411yescharacteristic
547C2×D236C2411yescharacteristic
548C2×D236C2411yescharacteristic
549C2×D236C2411yescharacteristic
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—82no—
560C2×C4×D59C2×D411yescharacteristic
561C2×C4×D59C2×D411yescharacteristic
562C2×C4×D59C2411yescharacteristic
563C2×C4×D59C2411yescharacteristic
564C2×Dic118—21no—
565C2×Dic118—21no—
566C2×Dic118—21no—
567C2×Dic118—21no—
568C2×Dic118—41no—
569C2×Dic118—41no—
570C2×Dic118C2×D411yescharacteristic
571C2×Dic118C2411yescharacteristic
572C2×Dic118C2411yescharacteristic
573C2×Dic118C2411yescharacteristic
574SD16×C59—22no—
575SD16×C59—41no—
576D8×C59—22no—
577D8×C59—41no—
578C2×C8×C59C2411yescharacteristic
579C2×C8×C59C2411yescharacteristic
580C2×C8×C59C2411yescharacteristic
581C2×C8×C59C2411yescharacteristic
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
585C4⋊C4×C59C2×D411yescharacteristic
586C4⋊C4×C59C2×D411yescharacteristic
587C4⋊C4×C59C2411yescharacteristic
588C4⋊C4×C59C2411yescharacteristic
589C4⋊C4×C59C2411yescharacteristic
590C4⋊C4×C59C2411yescharacteristic
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
602C22⋊C4×C59C2×D411yescharacteristic
603C42×C59—21no—
604C42×C59—21no—
605C42×C59C2411yescharacteristic
606C42×C59C2411yescharacteristic
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59C2×D411yescharacteristic
616C22⋊Dic59C2×D411yescharacteristic
617#11745671—41no—
618#11745671—41no—
619#11745670—22no—
620#11745670—22no—
621#11745670—22no—
622#11745670—41no—
623#11745670—41no—
624#11745670—41no—
625#11745669—22no—
626#11745669—41no—
627#11745669—41no—
628#11745669—41no—
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)⋊C4—21no—
649(C2×D59)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651(C2×D59)⋊C4C2×D411yescharacteristic
652(C2×D59)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2×D411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691#11745664—41no—
692C2×C59⋊C8—41no—
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697D472—41no—
698D472—41no—
699#11745660—41no—
700#11745660—41no—
701#11745660—41no—
702#11745660—41no—
703#11745660—41no—
704#11745660—41no—
705#11745659—41no—
706C8×D59—41no—
707C8×D59—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—42no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59C22×D411yescharacteristic
716C22×D59—21no—
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—42no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59C22×D411yescharacteristic
729C22×D59C22×D411yescharacteristic
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—81no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—42no—
739D4×C59—81no—
740D4×C59H(5,𝔽2)12yes—
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—81no—
749C2×C4×C59—81no—
750C2×C4×C59—81no—
751C2×C4×C59—81no—
752C2×C4×C59—81no—
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C2511yescharacteristic
759C22⋊D59—22no—
760C22⋊D59—41no—
761C22⋊D59—42no—
762C22⋊D59—42no—
763C22⋊D59—42no—
764C22⋊D59—42no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—42no—
780C2×Dic59—81no—
781C2×Dic59—81no—
782C2×Dic59—81no—
783C2×Dic59C22×D411yescharacteristic
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789D236—22no—
790D236—21no—
791D236—21no—
792D236—21no—
793D236—21no—
794D236—21no—
795D236—21no—
796D236—42no—
797D236—81no—
798D236—81no—
799D236—81no—
800D236—81no—
801C4×D59—22no—
802C4×D59—21no—
803C4×D59—21no—
804C4×D59—21no—
805C4×D59—21no—
806C4×D59—41no—
807C4×D59—42no—
808C4×D59—81no—
809C4×D59—81no—
810C4×D59—81no—
811C4×D59—81no—
812C4×D59—81no—
813C4×D59—81no—
814C4×D59—81no—
815C4×D59—81no—
816Dic118—21no—
817Dic118—21no—
818Dic118—21no—
819Dic118—21no—
820Dic118—21no—
821Dic118—21no—
822Dic118—41no—
823Dic118—81no—
824Dic118—81no—
825Dic118—81no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#62016—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—22no—
839C22×C59—21no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—162no—
849C22×C59C23×D411yescharacteristic
850C2×D59—21no—
851C2×D59—21no—
852C2×D59—21no—
853C2×D59—21no—
854C2×D59—21no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—84no—
865C2×D59—162no—
866C2×D59—162no—
867C2×D59#57712yes—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—21no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59C2×H(5,𝔽2)11yescharacteristic
879C4×C59#58511yescharacteristic
880Dic59—21no—
881Dic59—21no—
882Dic59—21no—
883Dic59—21no—
884Dic59—21no—
885Dic59—21no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3561—591no—
892#3519—591no—
893#3397—591no—
894#3397—591no—
895#3376—591no—
896#3376—591no—
897#3321—591no—
898#3321—591no—
899#3320—591no—
900#3320—591no—
901#3297—591no—
902#3297—591no—
903D4×SD16—591no—
904D4×SD16—591no—
905#3265—591no—
906#3265—591no—
907#3264—591no—
908#3264—591no—
909#3257—591no—
910#3257—591no—
911#3246—591no—
912#3221—591no—
913#3221—591no—
914#3213—591no—
915#3118—591no—
916#3118D5911yescharacteristic, complemented
917#3110—591no—
918#3042—591no—
919#3042—591no—
920C2×#463—591no—
921#2992—591no—
922C2×C59—42no—
923C2×C59—41no—
924C2×C59—81no—
925C2×C59—81no—
926C2×C59#348811yescharacteristic
927C2×C59C2×#57711yescharacteristic
928C2×C59#358511yescharacteristic
929D59—22no—
930D59—41no—
931D59—81no—
932D59—81no—
933D59—81no—
934C2×AGL(1,ℤ/8)—591no—
935C2×AGL(1,ℤ/8)—591no—
936C22×SD16—591no—
937C22×SD16—591no—
938C22×SD16—591no—
939C22×D8—591no—
940#563—1181no—
941#562—1181no—
942#556—591no—
943#556—591no—
944#555—591no—
945#554—591no—
946#553—591no—
947#553—591no—
948#553—1181no—
949#551—1181no—
950#551—1181no—
951#550—591no—
952D4×Q8—591no—
953D4×Q8—591no—
954#548—591no—
955#548—591no—
956#546—591no—
957#546—591no—
958#546—1181no—
959#546—1181no—
960#546—1181no—
961D42—591no—
962D42—591no—
963D42—591no—
964#543—1181no—
965#542—591no—
966#542—1181no—
967#542—1181no—
968#542C2×D5911yescharacteristic, complemented
969#540—591no—
970#540—591no—
971#538—1181no—
972#538—1181no—
973#538—1181no—
974#536—591no—
975#536—591no—
976#533—591no—
977#532—591no—
978#529—591no—
979C2×#124—591no—
980#525—1181no—
981C2×#121—1181no—
982#518—591no—
983#518C2×D5911yescharacteristic, complemented
984C2×C4×D4—591no—
985#496—591no—
986#496—591no—
987#496—591no—
988#496—591no—
989#492—591no—
990#492—591no—
991#491—591no—
992#491—591no—
993#489—591no—
994#489—591no—
995#488—591no—
996#488—591no—
997#485—591no—
998#485C2×D5911yescharacteristic, complemented
999#484—591no—
1000#484—591no—
1001#482—591no—
1002#482C2×D5911yescharacteristic, complemented
1003#479—591no—
1004#479—591no—
1005#478—591no—
1006#478—591no—
1007#476—591no—
1008#476C2×D5911yescharacteristic, complemented
1009#475—591no—
1010#475—591no—
1011#474—591no—
1012#474C2×D5911yescharacteristic, complemented
1013#469—591no—
1014#469—591no—
1015#468—591no—
1016#468—591no—
1017#466—591no—
1018#466—591no—
1019#465—591no—
1020#465—591no—
1021#465—591no—
1022#465—591no—
1023#465—591no—
1024#465—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#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463—591no—
1039#463C2×D5911yescharacteristic
1040#463C2×D5911yescharacteristic, complemented
1041#461—591no—
1042#461—591no—
1043#461—591no—
1044#461—591no—
1045#461—591no—
1046#461—591no—
1047#461—591no—
1048#461—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#459—591no—
1054#459—591no—
1055#450—591no—
1056#450—591no—
1057#450—591no—
1058#450C2×D5911yescharacteristic, complemented
1059#449—591no—
1060#449—591no—
1061#449—591no—
1062#449—591no—
1063#448—591no—
1064#448—591no—
1065#448—591no—
1066#448—591no—
1067#448—591no—
1068#448—591no—
1069#447—591no—
1070#447—591no—
1071#447—591no—
1072#447C2×D5911yescharacteristic
1073#446—591no—
1074#446—591no—
1075#442—591no—
1076#442C2×D5911yescharacteristic
1077#440—591no—
1078#440—591no—
1079#440—591no—
1080#440—591no—
1081#440—591no—
1082#440C2×D5911yescharacteristic, complemented
1083C4×SD16—591no—
1084C4×SD16C2×D5911yescharacteristic, complemented
1085C4×D8—591no—
1086C4×D8C2×D5911yescharacteristic, complemented
1087#435—591no—
1088#435—591no—
1089#435—591no—
1090#435—591no—
1091C8×D4—591no—
1092C8×D4—591no—
1093#433—591no—
1094#433C2×D5911yescharacteristic, complemented
1095#432—591no—
1096#424—591no—
1097#424—591no—
1098C2×C4⋊C8—591no—
1099#419—591no—
1100#419—591no—
1101#416—591no—
1102#416—591no—
1103C2×#103—591no—
1104C2×#102—591no—
1105C59#6201611yescharacteristic, complemented, Sylow
1106C2×#41—591no—
1107C2×#41—591no—
1108C2×#41—1181no—
1109C2×#41—1181no—
1110C22×Q8—591no—
1111C22×Q8—591no—
1112C22×Q8—591no—
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—1181no—
1117C22×D4—1181no—
1118C22×D4—1181no—
1119C22×D4C22×D5911yescharacteristic
1120C23×C4—1181no—
1121AGL(1,ℤ/8)—2362no—
1122AGL(1,ℤ/8)—2362no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—591no—
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—591no—
1136C2×SD16—591no—
1137C2×SD16—2362no—
1138C2×SD16—2362no—
1139C2×SD16—2362no—
1140C2×SD16C22×D5911yescharacteristic
1141C2×SD16C22×D5911yescharacteristic
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—2362no—
1149C2×D8C22×D5911yescharacteristic
1150C2×D8C22×D5911yescharacteristic
1151C2×M16—591no—
1152C2×M16—591no—
1153C22×C8—591no—
1154C22×C8—591no—
1155C22×C8—591no—
1156C22×C8—591no—
1157C4⋊Q8—591no—
1158C4⋊Q8—591no—
1159C4⋊Q8—591no—
1160C4⋊Q8—591no—
1161C4⋊Q8—1181no—
1162C4⋊Q8—1181no—
1163C4⋊Q8C22×D5911yescharacteristic
1164#127—591no—
1165#127—591no—
1166#127—591no—
1167#126—21no—
1168#126—591no—
1169#126—591no—
1170#126—1181no—
1171#126—1181no—
1172#126—1181no—
1173#126—1181no—
1174#126—1181no—
1175#126—1181no—
1176#126—1181no—
1177#125—591no—
1178#125—591no—
1179#125—591no—
1180#125—1181no—
1181#124—21no—
1182#124—591no—
1183#124—591no—
1184#124—591no—
1185#124—591no—
1186#124—591no—
1187#124—591no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#124—1181no—
1193#124—1181no—
1194#124—1181no—
1195#124—1181no—
1196#124C22×D5911yescharacteristic
1197#123—21no—
1198#123—591no—
1199#123—591no—
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—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213C22⋊Q8—21no—
1214C22⋊Q8—591no—
1215C22⋊Q8—591no—
1216C22⋊Q8—591no—
1217C22⋊Q8—591no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8—1181no—
1225C22⋊Q8—1181no—
1226C22⋊Q8—1181no—
1227C22⋊Q8—1181no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8C22×D5911yescharacteristic
1236#121—591no—
1237#121—591no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—591no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121C22×D5911yescharacteristic
1263#120—1181no—
1264#120—1181no—
1265#120—1181no—
1266#120—1181no—
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271C4×Q8—591no—
1272C4×Q8—591no—
1273C4×Q8—591no—
1274C4×Q8—591no—
1275C4×Q8—1181no—
1276C4×Q8C22×D5911yescharacteristic
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—591no—
1280C4×D4—591no—
1281C4×D4—591no—
1282C4×D4—591no—
1283C4×D4—591no—
1284C4×D4—591no—
1285C4×D4—591no—
1286C4×D4—591no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4C22×D5911yescharacteristic
1301C4×D4C22×D5911yescharacteristic
1302C4×D4C22×D5911yescharacteristic
1303C4×D4C22×D5911yescharacteristic
1304C4×D4C22×D5911yescharacteristic
1305#117—591no—
1306#117—591no—
1307#117—1181no—
1308#117—1181no—
1309#117—1181no—
1310#117—1181no—
1311#117C22×D5911yescharacteristic
1312#117C22×D5911yescharacteristic
1313C2×C4⋊C4—591no—
1314C2×C4⋊C4—1181no—
1315C2×C22⋊C4—21no—
1316C2×C22⋊C4—21no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C22⋊C4—1181no—
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C42—591no—
1325#107—591no—
1326#107—591no—
1327#107C22×D5911yescharacteristic
1328#107C22×D5911yescharacteristic
1329#106—591no—
1330#106—591no—
1331#106C22×D5911yescharacteristic
1332#106C22×D5911yescharacteristic
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8—591no—
1340C4⋊C8—591no—
1341C4⋊C8C22×D5911yescharacteristic
1342C4⋊C8C22×D5911yescharacteristic
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103C22×D5911yescharacteristic
1358#103C22×D5911yescharacteristic
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102C22×D5911yescharacteristic
1370#102C22×D5911yescharacteristic
1371#102C22×D5911yescharacteristic
1372#102C22×D5911yescharacteristic
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8C22×D5911yescharacteristic
1380C22⋊C8C22×D5911yescharacteristic
1381#97—591no—
1382#97—591no—
1383#97—591no—
1384#97C22×D5911yescharacteristic
1385C4×C8—591no—
1386C4×C8C22×D5911yescharacteristic
1387C24—21no—
1388C24—1181no—
1389C24—1181no—
1390C24—1181no—
1391#41—4722no—
1392#41—4722no—
1393#41—2361no—
1394#41—2361no—
1395#41—2361no—
1396#41—2361no—
1397C2×Q8—21no—
1398C2×Q8—591no—
1399C2×Q8—591no—
1400C2×Q8—591no—
1401C2×Q8—591no—
1402C2×Q8—1181no—
1403C2×Q8—1181no—
1404C2×Q8—1181no—
1405C2×Q8—1181no—
1406C2×Q8—2361no—
1407C2×Q8—2361no—
1408C2×Q8—2361no—
1409C2×Q8—2361no—
1410C2×Q8—2361no—
1411C2×Q8—2361no—
1412C2×Q8C23×D5911yescharacteristic
1413C2×D4—22no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—41no—
1417C2×D4—591no—
1418C2×D4—591no—
1419C2×D4—591no—
1420C2×D4—591no—
1421C2×D4—591no—
1422C2×D4—591no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1182no—
1434C2×D4—1182no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—4722no—
1444C2×D4—4722no—
1445C2×D4—4722no—
1446C2×D4—2361no—
1447C2×D4—2361no—
1448C2×D4—2361no—
1449C2×D4—2361no—
1450C2×D4C23×D5911yescharacteristic
1451C2×D4C23×D5911yescharacteristic
1452C2×D4C23×D5911yescharacteristic
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—591no—
1459C22×C4—591no—
1460C22×C4—591no—
1461C22×C4—591no—
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—4722no—
1476C22×C4C23×D5911yescharacteristic
1477SD16—22no—
1478SD16—41no—
1479SD16—1182no—
1480SD16—1182no—
1481SD16—1182no—
1482SD16—2361no—
1483SD16—2361no—
1484SD16—2361no—
1485SD16—2361no—
1486SD16—2361no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492SD16—2361no—
1493D8—22no—
1494D8—41no—
1495D8—1182no—
1496D8—2361no—
1497D8—2361no—
1498D8—2361no—
1499D8—2361no—
1500D8—2361no—
1501M16—2361no—
1502M16—2361no—
1503C2×C8—591no—
1504C2×C8—591no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—2361no—
1508C2×C8—2361no—
1509C2×C8—2361no—
1510C2×C8—2361no—
1511C2×C8C23×D5911yescharacteristic
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—591no—
1519C4⋊C4—591no—
1520C4⋊C4—591no—
1521C4⋊C4—591no—
1522C4⋊C4—591no—
1523C4⋊C4—591no—
1524C4⋊C4—591no—
1525C4⋊C4—591no—
1526C4⋊C4—591no—
1527C4⋊C4—591no—
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⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4D4×D5911yescharacteristic
1547C4⋊C4D4×D5911yescharacteristic
1548C4⋊C4C23×D5911yescharacteristic
1549C4⋊C4C23×D5911yescharacteristic
1550C4⋊C4C23×D5911yescharacteristic
1551C4⋊C4C23×D5911yescharacteristic
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—591no—
1563C22⋊C4—591no—
1564C22⋊C4—591no—
1565C22⋊C4—591no—
1566C22⋊C4—591no—
1567C22⋊C4—591no—
1568C22⋊C4—591no—
1569C22⋊C4—591no—
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⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4D4×D5911yescharacteristic
1599C22⋊C4D4×D5911yescharacteristic
1600C42—21no—
1601C42—21no—
1602C42—591no—
1603C42—591no—
1604C42—591no—
1605C42—591no—
1606C42—1181no—
1607C42—1181no—
1608C42—1181no—
1609C42—1181no—
1610C42C23×D5911yescharacteristic
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—81no—
1617C23—81no—
1618C23—591no—
1619C23—591no—
1620C23—1181no—
1621C23—1181no—
1622C23—1181no—
1623C23—4721no—
1624C23—4721no—
1625C23—4721no—
1626C23—4721no—
1627C23—4721no—
1628C23—2362no—
1629C23—2362no—
1630C23—2362no—
1631C23—2362no—
1632C23C2×D4×D5911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—81no—
1636Q8—1181no—
1637Q8—1181no—
1638Q8—1181no—
1639Q8—1181no—
1640Q8—1181no—
1641Q8—1181no—
1642Q8—4721no—
1643Q8—4721no—
1644Q8—4721no—
1645Q8—4721no—
1646Q8—2361no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—42no—
1653D4—81no—
1654D4—1182no—
1655D4—1182no—
1656D4—1181no—
1657D4—1181no—
1658D4—1181no—
1659D4—1181no—
1660D4—1181no—
1661D4—1181no—
1662D4—4721no—
1663D4—4721no—
1664D4—4721no—
1665D4—4721no—
1666D4—4721no—
1667D4—4721no—
1668D4—4721no—
1669D4—4721no—
1670D4—4721no—
1671D4—4721no—
1672D4—4721no—
1673D4—4721no—
1674D4—4721no—
1675D4—2362no—
1676D4—2361no—
1677D4—2362no—
1678D4—2362no—
1679D4—2362no—
1680D4—2362no—
1681D4#1427377312yes—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—81no—
1694C2×C4—591no—
1695C2×C4—591no—
1696C2×C4—591no—
1697C2×C4—591no—
1698C2×C4—591no—
1699C2×C4—591no—
1700C2×C4—1182no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—1181no—
1707C2×C4—1181no—
1708C2×C4—1181no—
1709C2×C4—1181no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—4721no—
1716C2×C4—4721no—
1717C2×C4—4721no—
1718C2×C4—4721no—
1719C2×C4—4721no—
1720C2×C4—4721no—
1721C2×C4—2361no—
1722C2×C4—2362no—
1723C2×C4—2362no—
1724C2×C4C2×D4×D5911yescharacteristic
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C2×D4×D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—21no—
1739C22—22no—
1740C22—21no—
1741C22—21no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—162no—
1751C22—592no—
1752C22—1181no—
1753C22—1181no—
1754C22—1181no—
1755C22—1181no—
1756C22—1181no—
1757C22—9442no—
1758C22—9442no—
1759C22—4724no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22—2361no—
1769C22C22×D4×D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—1181no—
1781C4—1181no—
1782C4—1181no—
1783C4—1181no—
1784C4—1181no—
1785C4—1181no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4C2×#1427377311yescharacteristic
1792C4#1683823811yescharacteristic
1793C2—41no—
1794C2—42no—
1795C2—81no—
1796C2—81no—
1797C2—1182no—
1798C2—4721no—
1799C2—4721no—
1800C2—4721no—
1801C2—2361no—
1802C2#2143775711yescharacteristic
1803C2#577×D5911yescharacteristic
1804C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3118C2
socleC22×C59C23×D4
hypercenter#3118D59
hypocenterC59#62016
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. #21438667C2semidirect
2. #21438118C2semidirect
3. #21437117C2semidirect
4. #21437114C2semidirect
5. #21436924C2semidirect
6. #21436919C2semidirect
7. #21436285C2semidirect
8. #21436280C2semidirect
9. #21436272C2semidirect
10. #21436270C2semidirect
11. #21435951C2semidirect
12. #21435949C2semidirect
13. SD16×D236C2semidirect
14. #21435790C2semidirect
15. #21435595C2semidirect
16. #21435589C2semidirect
17. #21435578C2semidirect
18. #21435574C2semidirect
19. #21435507C2semidirect
20. #21435506C2semidirect
21. #21435414C2semidirect
22. #21435159C2semidirect
23. #21435154C2semidirect
24. #21435081C2semidirect
25. #21434287C2semidirect
26. #21434197C2semidirect
27. #21433608C2semidirect
28. #21433606C2semidirect
29. #463×D59C2semidirect
30. #21433230C2semidirect
31. C59×#3118C2semidirect
34. C22×#11745670C22semidirect
36. C2×SD16×D59C22semidirect
40. #16838124C22semidirect
41. #16838122C22semidirect
42. #16838115C22semidirect
43. #16838111C22semidirect
49. #16838073C22semidirect
50. Q8×D236C22semidirect
51. #16838065C22semidirect
52. #16838062C22semidirect
53. #16838058C22semidirect
54. #16838049C22semidirect
56. #16838047C22semidirect
61. D4×C22⋊D59C22semidirect
63. #16838026C22semidirect
66. #16838007C22semidirect
67. #16838003C22semidirect
71. #16837978C22semidirect
72. #16837972C22semidirect
73. #16837957C22semidirect
76. #124×D59C22semidirect
79. #16837874C22semidirect
81. #16837791C22semidirect
82. #16837790C22semidirect
83. #16837790C22semidirect
84. #16837788C22semidirect
85. #16837775C22semidirect
86. #16837773C22semidirect
87. #16837771C22semidirect
88. #16837769C22semidirect
89. #16837763C22semidirect
90. #16837760C22semidirect
91. #16837757C22semidirect
92. #16837755C22semidirect
93. #16837745C22semidirect
94. #16837739C22semidirect
95. #16837739C22semidirect
96. #16837729C22semidirect
97. #16837712C22semidirect
98. #16837709C22semidirect
99. #16837702C22semidirect
100. #16837701C22semidirect
101. #16837689C22semidirect
102. #16837686C22semidirect
103. #16837686C22semidirect
104. #16837679C22semidirect
105. #16837656C22semidirect
106. #16837653C22semidirect
107. #16837650C22semidirect
108. #16837647C22semidirect
109. #16837637C22semidirect
110. #16837636C22semidirect
111. #16837633C22semidirect
112. #16837632C22semidirect
113. #16837632C22semidirect
114. #16837632C22semidirect
115. #16837630C22semidirect
116. #16837630C22semidirect
117. #16837620C22semidirect
119. #16837618C22semidirect
120. #16837618C22semidirect
123. #16837617C22semidirect
124. #16837617C22semidirect
125. #16837616C22semidirect
126. #16837616C22semidirect
129. #16837614C22semidirect
130. #16837614C22semidirect
131. #16837608C22semidirect
132. #16837608C22semidirect
133. #16837607C22semidirect
134. #16837607C22semidirect
135. #16837607C22semidirect
136. #16837607C22semidirect
137. #16837606C22semidirect
138. #16837605C22semidirect
139. #16837602C22semidirect
140. #16837601C22semidirect
141. #16837601C22semidirect
142. #16837601C22semidirect
143. #16837597C22semidirect
144. #16837596C22semidirect
147. #16837554C22semidirect
148. #16837549C22semidirect
149. #16837549C22semidirect
150. #16837548C22semidirect
151. #16837544C22semidirect
152. #16837543C22semidirect
153. #16837543C22semidirect
154. #16837542C22semidirect
155. #16837542C22semidirect
156. #16837539C22semidirect
157. #16837539C22semidirect
159. #16837537C22semidirect
160. #16837534C22semidirect
161. #16837532C22semidirect
162. #16837530C22semidirect
164. #16837501C22semidirect
165. #16837501C22semidirect
166. #16837501C22semidirect
167. #16837499C22semidirect
168. #16837499C22semidirect
169. #16837493C22semidirect
170. #16837484C22semidirect
171. #16837476C22semidirect
172. #16837476C22semidirect
173. #16837475C22semidirect
174. #16837470C22semidirect
175. C8×D236C22semidirect
176. (C22⋊D59)⋊C8C22semidirect
177. #16837462C22semidirect
178. #16837458C22semidirect
179. #16837429C22semidirect
180. #16837427C22semidirect
181. C4⋊C8×D59C22semidirect
182. #16837410C22semidirect
183. #16837409C22semidirect
184. #16837396C22semidirect
185. #16837395C22semidirect
186. #103×D59C22semidirect
187. #102×D59C22semidirect
188. C59×#542C22semidirect
189. C59×#518C22semidirect
190. C59×#485C22semidirect
191. C59×#482C22semidirect
192. C59×#476C22semidirect
193. C59×#474C22semidirect
195. C59×#463C22semidirect
196. C59×#450C22semidirect
199. C59×#440C22semidirect
200. C4×SD16×C59C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#433C22semidirect
916. #3118D59semidirect
968. #542C2×D59semidirect
983. #518C2×D59semidirect
998. #485C2×D59semidirect
1002. #482C2×D59semidirect
1008. #476C2×D59semidirect
1012. #474C2×D59semidirect
1040. #463C2×D59semidirect
1058. #450C2×D59semidirect
1082. #440C2×D59semidirect
1084. C4×SD16C2×D59semidirect
1086. C4×D8C2×D59semidirect
1094. #433C2×D59semidirect
1105. C59#62016semidirect

Maximal subgroups

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

subgroupindex
#214386672
#214381182
#214371172
#214371142
#214369242
#214369192
#214362852
#214362802
#214362722
#214362702
#214359512
#214359492
SD16×D2362
#214357902
#214355952
#214355892
#214355782
#214355742
#214355072
#214355062
#214354142
#214351592
#214351542
#214350812
#214342872
#214341972
#214336082
#214336062
#463×D592
#214332302
C59×#31182
#6201659