Finite Group Databasebeta

← #29475694

Subgroups — #29475694

Order 15104.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438516C211yesmaximal, characteristic, complemented
2#21437852C211yesmaximal, characteristic, complemented
3#21436316C211yesmaximal, characteristic, complemented
4#21436292C211yesmaximal, characteristic, complemented
5#21436244C211yesmaximal, characteristic, complemented
6#21436194C211yesmaximal, characteristic, complemented
7#21436117C211yesmaximal, characteristic, complemented
8#21436077C211yesmaximal, characteristic, complemented
9#21435950C211yesmaximal, characteristic, complemented
10#21435926C211yesmaximal, characteristic, complemented
11#21435806C211yesmaximal, characteristic, complemented
12#21435781C211yesmaximal, characteristic, complemented
13#21435727C211yesmaximal, characteristic, complemented
14#21435707C211yesmaximal, characteristic, complemented
15#21435657C211yesmaximal, characteristic, complemented
16#21435617C211yesmaximal, characteristic, complemented
17#21435590C211yesmaximal, characteristic, complemented
18#21435128C211yesmaximal, characteristic, complemented
19#21435070C211yesmaximal, characteristic, complemented
20#21435007C211yesmaximal, characteristic, complemented
21#21434995C211yesmaximal, characteristic, complemented
22#21434971C211yesmaximal, characteristic, complemented
23#21434944C211yesmaximal, characteristic, complemented
24#21434232C211yesmaximal, characteristic, complemented
25#21434142C211yesmaximal, characteristic, complemented
26#21433399C211yesmaximal, characteristic, complemented
27#21433395C211yesmaximal, characteristic, complemented
28#21433368C211yesmaximal, characteristic, complemented
29#21433360C211yesmaximal, characteristic, complemented
30#21433168C211yesmaximal, characteristic, complemented
31C59×#3264C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C2×#14273772C2211yescharacteristic, complemented
34C2×#14273756C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C2×#14273747C2211yescharacteristic, complemented
38C2×#14273746C2211yescharacteristic, complemented
39C2×SD16×D59C2211yescharacteristic, complemented
40#16838155—21no—
41#16838141—21no—
42#16838116—21no—
43#16838104C2211yescharacteristic, complemented
44#16838102C2211yescharacteristic, complemented
45#16838092C2211yescharacteristic, complemented
46#16838086C2211yescharacteristic, complemented
47#16838078—21no—
48#16838060C2211yescharacteristic, complemented
49#16838059C2211yescharacteristic, complemented
50#16838057C2211yescharacteristic
51#16838056C2211yescharacteristic, complemented
52#16838052—21no—
53#16838049C2211yescharacteristic
54#16838049C2211yescharacteristic, complemented
55#16838046C2211yescharacteristic
56#16838046C2211yescharacteristic, complemented
57#16838046C2211yescharacteristic, complemented
58#16838039—21no—
59#16838039—21no—
60#16838037C2211yescharacteristic, complemented
61D4×C22⋊D59—21no—
62#16838004—21no—
63#16838002—21no—
64#16837990—21no—
65#16837987—21no—
66#16837981C2211yescharacteristic
67#16837981C2211yescharacteristic, complemented
68#16837981C2211yescharacteristic, complemented
69#16837980C2211yescharacteristic, complemented
70#16837975C2211yescharacteristic, complemented
71#16837969C2211yescharacteristic, complemented
72#16837962—21no—
73#16837962—21no—
74#16837950C2211yescharacteristic, complemented
75#16837949C2211yescharacteristic
76#16837934C2211yescharacteristic, complemented
77#16837931C2211yescharacteristic, complemented
78C2×#14273698—21no—
79#121×D59—21no—
80C4×D4×D59C2211yescharacteristic, complemented
81#16837797C2211yescharacteristic, complemented
82#16837785C2211yescharacteristic, complemented
83#16837785C2211yescharacteristic, complemented
84#16837771C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic, complemented
86#16837755C2211yescharacteristic, complemented
87#16837755C2211yescharacteristic, complemented
88#16837746C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837738C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837734C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837723C2211yescharacteristic, complemented
96#16837719C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837713C2211yescharacteristic, complemented
100#16837703C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837700C2211yescharacteristic, complemented
104#16837660C2211yescharacteristic, complemented
105#16837658C2211yescharacteristic, complemented
106#16837652C2211yescharacteristic, complemented
107#16837647C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837643C2211yescharacteristic, complemented
112#16837642C2211yescharacteristic, complemented
113#16837635C2211yescharacteristic, complemented
114#16837635C2211yescharacteristic, complemented
115#16837630C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837629C2211yescharacteristic, complemented
118#16837622C2211yescharacteristic, complemented
119#16837622C2211yescharacteristic, complemented
120#16837616C2211yescharacteristic, complemented
121#16837615C2211yescharacteristic, complemented
122#16837615C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic, complemented
124#16837614C2211yescharacteristic, complemented
125#16837613C2211yescharacteristic, complemented
126#16837607C2211yescharacteristic, complemented
127#16837599C2211yescharacteristic, complemented
128#16837566C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837565C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837564C2211yescharacteristic, complemented
134#16837562C2211yescharacteristic, complemented
135#16837561C2211yescharacteristic, complemented
136#16837561C2211yescharacteristic, complemented
137#16837561C2211yescharacteristic, complemented
138#16837559C2211yescharacteristic, complemented
139#16837554C2211yescharacteristic, complemented
140#16837553C2211yescharacteristic, complemented
141#16837553C2211yescharacteristic, complemented
142#16837553C2211yescharacteristic, complemented
143#16837551C2211yescharacteristic, complemented
144#16837551C2211yescharacteristic, complemented
145#16837545C2211yescharacteristic, complemented
146#16837544C2211yescharacteristic, complemented
147#16837544C2211yescharacteristic, complemented
148#16837544C2211yescharacteristic, complemented
149#16837544C2211yescharacteristic, complemented
150#16837544C2211yescharacteristic, complemented
151#16837544C2211yescharacteristic, complemented
152#16837544C2211yescharacteristic, complemented
153#16837544C2211yescharacteristic, complemented
154#16837539C2211yescharacteristic, complemented
155#16837534C2211yescharacteristic
156#16837534C2211yescharacteristic
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837512C2211yescharacteristic, complemented
161#16837504C2211yescharacteristic, complemented
162#16837502C2211yescharacteristic, complemented
163SD16×Dic59C2211yescharacteristic, complemented
164#16837487C2211yescharacteristic, complemented
165D8×Dic59C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837407C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837404C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180#16837399C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182C2×#14273648C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837370C2211yescharacteristic, complemented
185#16837368C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C22×D8×C59C2211yescharacteristic, complemented
190C59×#546C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic
192C59×#496C2211yescharacteristic, complemented
193C59×#469C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#442C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203#14273772—42no—
204#14273772—42no—
205#14273772—42no—
206#14273772—42no—
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745687—21no—
212C2×#11745687—21no—
213C2×#11745687C2311yescharacteristic
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217C2×#11745687C2311yescharacteristic
218C2×Q8×D59C2311yescharacteristic
219C22×C22⋊D59—21no—
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C22×C4×D59—21no—
230#14273756—42no—
231#14273753—42no—
232#14273751—42no—
233#14273747—42no—
234#14273746—42no—
235C2×Dic236C2311yescharacteristic
236C2×Dic236C2311yescharacteristic
237C2×#11745672C2311yescharacteristic
238C2×#11745672C2311yescharacteristic
239C2×#11745660C2311yescharacteristic
240C2×#11745670C2311yescharacteristic
241C2×#11745670C2311yescharacteristic
242C2×#11745670C2311yescharacteristic
243C2×#11745670C2311yescharacteristic
244C2×#11745670C2311yescharacteristic
245C2×#11745670C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248SD16×D59—42no—
249C2×#11745669C2311yescharacteristic
250C2×#11745669C2311yescharacteristic
251C2×#11745664C2311yescharacteristic
252C2×#11745659C2311yescharacteristic
253C2×#11745659C2311yescharacteristic
254C22×C59⋊C8C2311yescharacteristic
255C2×C8×D59C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257#14273727C2311yescharacteristic
258#14273726—21no—
259#14273726D411yescharacteristic
260#14273723—21no—
261#14273723D411yescharacteristic
262#14273720—21no—
263#14273720—21no—
264#14273720—21no—
265#14273720—21no—
266#14273720—21no—
267#14273720—21no—
268#14273719C2311yescharacteristic
269#14273718C2311yescharacteristic
270#14273717—21no—
271#14273717—21no—
272#14273714—21no—
273#14273714—21no—
274#14273714C2311yescharacteristic
275#14273714C2311yescharacteristic
276#14273714C2311yescharacteristic
277#14273713—21no—
278#14273713—21no—
279#14273713D411yescharacteristic
280#14273713D411yescharacteristic
281#14273712—21no—
282#14273711—21no—
283#14273711—21no—
284#14273711—21no—
285#14273710—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273708—21no—
295#14273708—21no—
296#14273708—21no—
297#14273708—21no—
298#14273707C2311yescharacteristic
299#14273707C2311yescharacteristic
300#14273707C2311yescharacteristic
301#14273706—21no—
302#14273706—21no—
303#14273706C2311yescharacteristic
304#14273706C2311yescharacteristic
305#14273706C2311yescharacteristic
306#14273706C2311yescharacteristic
307#14273704—21no—
308#14273704—21no—
309#14273704—21no—
310#14273704—21no—
311#14273703C2311yescharacteristic
312#14273703C2311yescharacteristic
313#14273702D411yescharacteristic
314#14273701—21no—
315#14273701—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700D411yescharacteristic
322#14273700D411yescharacteristic
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273698—21no—
333#14273698—21no—
334#14273698—21no—
335#14273698—21no—
336#14273698—21no—
337#14273698—21no—
338#14273698—21no—
339#14273698—21no—
340#14273698—21no—
341#14273698—21no—
342#14273698D411yescharacteristic
343#14273698C2311yescharacteristic
344#14273698C2311yescharacteristic
345#14273698C2311yescharacteristic
346#14273698C2311yescharacteristic
347#14273698C2311yescharacteristic
348#14273698C2311yescharacteristic
349#14273698C2311yescharacteristic
350#14273696—21no—
351#14273696—21no—
352#14273696—21no—
353#14273696—21no—
354#14273696—21no—
355#14273695—21no—
356#14273695—21no—
357#14273695—21no—
358#14273695—21no—
359Q8×Dic59C2311yescharacteristic
360C4×Dic118C2311yescharacteristic
361C4×D236C2311yescharacteristic
362C4×D236C2311yescharacteristic
363D4×Dic59—21no—
364D4×Dic59—21no—
365D4×Dic59—21no—
366D4×Dic59C2311yescharacteristic
367D4×Dic59C2311yescharacteristic
368#14273689C2311yescharacteristic
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59C2311yescharacteristic
374C4×C22⋊D59C2311yescharacteristic
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378#14273686—21no—
379#14273686C2311yescharacteristic
380#14273685—21no—
381#14273685C2311yescharacteristic
382#14273683—21no—
383#14273683—21no—
384C2×C4⋊Dic59—21no—
385C2×C4⋊Dic59C2311yescharacteristic
386C4⋊C4×D59—21no—
387C4⋊C4×D59C2311yescharacteristic
388C4⋊C4×D59C2311yescharacteristic
389C2×C22⋊Dic59—21no—
390C2×C22⋊Dic59—21no—
391C2×C22⋊Dic59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C42×D59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273659C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442#14273638C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C22×D4×C59—21no—
447C22×D4×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449C22×D4×C59C2311yescharacteristic
450AGL(1,ℤ/8)×C59—42no—
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×D8×C59—42no—
455C2×D8×C59C2311yescharacteristic
456C2×D8×C59C2311yescharacteristic
457C2×D8×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×D8×C59C2311yescharacteristic
461C2×M16×C59C2311yescharacteristic
462C22×C8×C59C2311yescharacteristic
463#127×C59C2311yescharacteristic
464#124×C59C2311yescharacteristic
465#123×C59—21no—
466C22⋊Q8×C59C2311yescharacteristic
467#121×C59—21no—
468#121×C59—21no—
469#121×C59C2311yescharacteristic
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#120×C59—21no—
473#120×C59—21no—
474#120×C59—21no—
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C2×C22⋊C4×C59—21no—
479#106×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C24×C59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496#41×C59—41no—
497#41×C59—41no—
498C2×Q8×C59C2411yescharacteristic
499C2×D4×C59—22no—
500C2×D4×C59—22no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—41no—
511C2×D4×C59—41no—
512C2×D4×C59—41no—
513C2×D4×C59—41no—
514C2×D4×C59—82no—
515C2×D4×C59C2×D411yescharacteristic
516C2×D4×C59C2411yescharacteristic
517C2×D4×C59C2411yescharacteristic
518C2×D4×C59C2411yescharacteristic
519C2×D4×C59C2411yescharacteristic
520C2×D4×C59C2411yescharacteristic
521C22×C4×C59—21no—
522C22×C4×C59—21no—
523C22×C4×C59—21no—
524C22×C4×C59C2411yescharacteristic
525C22×C4×C59C2411yescharacteristic
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—44no—
544C2×C22⋊D59—44no—
545C2×C22⋊D59—44no—
546C2×C22⋊D59—44no—
547C2×C22⋊D59C2×D411yescharacteristic
548C2×C22⋊D59C2×D411yescharacteristic
549C2×C22⋊D59C2×D411yescharacteristic
550C2×C22⋊D59C2×D411yescharacteristic
551C2×C22⋊D59C2×D411yescharacteristic
552C2×C22⋊D59C2×D411yescharacteristic
553C22×Dic59—21no—
554C22×Dic59—21no—
555C22×Dic59—21no—
556C22×Dic59—21no—
557C22×Dic59—21no—
558C22×Dic59—21no—
559C22×Dic59—21no—
560C22×Dic59—21no—
561Q8×D59—41no—
562Q8×D59—41no—
563#11745687—22no—
564#11745687—22no—
565#11745687—41no—
566#11745687—41no—
567#11745687—41no—
568#11745687—41no—
569#11745687—41no—
570#11745687—41no—
571#11745687—41no—
572#11745687—41no—
573#11745687—44no—
574#11745687—44no—
575D4×D59—22no—
576D4×D59—22no—
577D4×D59—22no—
578D4×D59—22no—
579D4×D59—41no—
580D4×D59—41no—
581D4×D59—44no—
582D4×D59—44no—
583D4×D59—82no—
584#11745685—22no—
585#11745685—22no—
586#11745685—41no—
587#11745685—41no—
588#11745685—41no—
589#11745685—41no—
590#11745685—41no—
591#11745685—41no—
592C2×D236C2×D411yescharacteristic
593C2×D236C2×D411yescharacteristic
594C2×D236C2×D411yescharacteristic
595C2×D236C2411yescharacteristic
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59—21no—
599C2×C4×D59—21no—
600C2×C4×D59—21no—
601C2×C4×D59—21no—
602C2×C4×D59—21no—
603C2×C4×D59—82no—
604C2×C4×D59C2×D411yescharacteristic
605C2×C4×D59C2×D411yescharacteristic
606C2×C4×D59C2411yescharacteristic
607C2×C4×D59C2411yescharacteristic
608C2×C4×D59C2411yescharacteristic
609C2×Dic118—21no—
610C2×Dic118C2×D411yescharacteristic
611C2×Dic118C2×D411yescharacteristic
612C2×Dic118C2411yescharacteristic
613C2×Dic118C2411yescharacteristic
614C2×Dic118C2411yescharacteristic
615SD16×C59—22no—
616SD16×C59—41no—
617SD16×C59—41no—
618D8×C59—22no—
619D8×C59—22no—
620D8×C59—41no—
621D8×C59—41no—
622D8×C59—41no—
623D8×C59—41no—
624M16×C59—41no—
625C2×C8×C59—41no—
626C2×C8×C59C2411yescharacteristic
627C2×C8×C59C2411yescharacteristic
628C2×C8×C59C2411yescharacteristic
629C2×C8×C59C2411yescharacteristic
630C4⋊C4×C59—21no—
631C4⋊C4×C59C2×D411yescharacteristic
632C4⋊C4×C59C2411yescharacteristic
633C4⋊C4×C59C2411yescharacteristic
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C22⋊C4×C59C2×D411yescharacteristic
643C22⋊C4×C59C2×D411yescharacteristic
644C42×C59C2411yescharacteristic
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59—21no—
648C22⋊Dic59—21no—
649C22⋊Dic59—21no—
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59—21no—
662C22⋊Dic59—21no—
663C22⋊Dic59—21no—
664C22⋊Dic59—21no—
665C22⋊Dic59C2×D411yescharacteristic
666C22⋊Dic59C2×D411yescharacteristic
667#11745672—41no—
668#11745672—41no—
669#11745671—22no—
670#11745670—22no—
671#11745670—41no—
672#11745670—41no—
673#11745670—41no—
674#11745670—41no—
675#11745670—41no—
676#11745670—41no—
677#11745669—22no—
678#11745669—22no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4C2×D411yescharacteristic
688(C2×D59)⋊C4C2×D411yescharacteristic
689(C2×D59)⋊C4C2×D411yescharacteristic
690(C2×D59)⋊C4C2×D411yescharacteristic
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59C2×D411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
701C4⋊Dic59C2411yescharacteristic
702C4⋊Dic59C2411yescharacteristic
703C4⋊Dic59C2411yescharacteristic
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4C2×D411yescharacteristic
717Dic59⋊C4C2×D411yescharacteristic
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59C2×D411yescharacteristic
723C4×Dic59C2×D411yescharacteristic
724C4×Dic59C2411yescharacteristic
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731Dic236—41no—
732Dic236—41no—
733#11745660—22no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—42no—
744C23×C59—42no—
745C23×C59—81no—
746C23×C59—81no—
747C23×C59—81no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59—81no—
751C23×C59—81no—
752C23×C59C22×D411yescharacteristic
753C23×C59C22×D411yescharacteristic
754C22×D59—21no—
755C22×D59—24no—
756C22×D59—42no—
757C22×D59—42no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59C22×D411yescharacteristic
765C22×D59C22×D411yescharacteristic
766C22×D59C22×D411yescharacteristic
767Q8×C59—21no—
768Q8×C59—21no—
769D4×C59—21no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—21no—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—41no—
779D4×C59—42no—
780D4×C59—42no—
781D4×C59—42no—
782D4×C59—81no—
783D4×C59—81no—
784D4×C59—81no—
785D4×C59—81no—
786D4×C59—81no—
787D4×C59—81no—
788D4×C59H(5,𝔽2)12yes—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—42no—
797C2×C4×C59—81no—
798C2×C4×C59—81no—
799C2×C4×C59C22×D411yescharacteristic
800C2×C4×C59C22×D411yescharacteristic
801C2×C4×C59C22×D411yescharacteristic
802C2×C4×C59C22×D411yescharacteristic
803C2×C4×C59C2511yescharacteristic
804C22⋊D59—24no—
805C22⋊D59—41no—
806C22⋊D59—41no—
807C22⋊D59—41no—
808C22⋊D59—41no—
809C22⋊D59—41no—
810C22⋊D59—41no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—42no—
816C22⋊D59—42no—
817C22⋊D59—42no—
818C22⋊D59—42no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C22⋊D59—81no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—21no—
830C2×Dic59—21no—
831C2×Dic59—21no—
832C2×Dic59—21no—
833C2×Dic59—21no—
834C2×Dic59—42no—
835C2×Dic59—42no—
836C2×Dic59—42no—
837C2×Dic59—42no—
838C2×Dic59—81no—
839C2×Dic59—81no—
840C2×Dic59—81no—
841C2×Dic59—81no—
842C2×Dic59C22×D411yescharacteristic
843C2×Dic59C22×D411yescharacteristic
844C2×Dic59C22×D411yescharacteristic
845C2×Dic59C22×D411yescharacteristic
846C2×Dic59C22×D411yescharacteristic
847D236—21no—
848D236—41no—
849D236—41no—
850D236—41no—
851D236H(5,𝔽2)12yes—
852C4×D59—21no—
853C4×D59—21no—
854C4×D59—21no—
855C4×D59—21no—
856C4×D59—21no—
857C4×D59—21no—
858C4×D59—41no—
859C4×D59—41no—
860C4×D59—42no—
861C4×D59—42no—
862C4×D59—42no—
863C4×D59—81no—
864C4×D59—81no—
865C4×D59—81no—
866C4×D59—81no—
867Dic118—21no—
868Dic118—21no—
869Dic118—21no—
870Dic118—21no—
871Dic118—21no—
872Dic118—21no—
873Dic118—41no—
874Dic118—41no—
875Dic118—81no—
876C8×C59—21no—
877C8×C59—21no—
878C8×C59—21no—
879C8×C59—21no—
880C59⋊C8—21no—
881C59⋊C8—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884#61678—591nomaximal, Sylow
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—22no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—41no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—162no—
907C22×C59—162no—
908C22×C59—162no—
909C22×C59C23×D411yescharacteristic
910C2×D59—21no—
911C2×D59—21no—
912C2×D59—21no—
913C2×D59—21no—
914C2×D59—21no—
915C2×D59—21no—
916C2×D59—21no—
917C2×D59—21no—
918C2×D59—21no—
919C2×D59—22no—
920C2×D59—41no—
921C2×D59—41no—
922C2×D59—84no—
923C2×D59—162no—
924C2×D59—162no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—21no—
928C4×C59—21no—
929C4×C59—41no—
930C4×C59—41no—
931C4×C59—41no—
932C4×C59C2×H(5,𝔽2)11yescharacteristic
933C4×C59C2×H(5,𝔽2)11yescharacteristic
934Dic59—21no—
935Dic59—21no—
936Dic59—21no—
937Dic59—21no—
938Dic59—21no—
939Dic59—41no—
940Dic59—41no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945Dic59—41no—
946#3551—591no—
947#3496—591no—
948#3323—591no—
949#3322—591no—
950#3318—591no—
951#3315—591no—
952#3310—591no—
953#3307—591no—
954#3297—591no—
955#3296—591no—
956#3282—591no—
957#3280—591no—
958#3275—591no—
959#3273—591no—
960#3269—591no—
961#3267—591no—
962#3265—591no—
963#3264D5911yescharacteristic, complemented
964#3219—591no—
965#3212—591no—
966#3204—591no—
967#3203—591no—
968#3201—591no—
969#3198—591no—
970#3114—591no—
971#3105—591no—
972#3012—591no—
973#3012—591no—
974#3009—591no—
975#3008—591no—
976#2981—591no—
977C2×C59—42no—
978C2×C59—41no—
979C2×C59—41no—
980C2×C59—81no—
981C2×C59—81no—
982C2×C59—81no—
983C2×C59—81no—
984C2×C59#348411yescharacteristic
985C2×C59#358411yescharacteristic
986C2×C59#358511yescharacteristic
987D59—41no—
988D59—41no—
989D59—41no—
990D59—42no—
991C2×H(5,𝔽2)—591no—
992C2×H(5,𝔽2)—591no—
993C2×#137—591no—
994C2×AGL(1,ℤ/8)—591no—
995C2×AGL(1,ℤ/8)—591no—
996C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
997C2×#135—591no—
998C2×#135—591no—
999C22×SD16—591no—
1000C22×D8C2×D5911yescharacteristic, complemented
1001#563—1181no—
1002#560—1181no—
1003#555—1181no—
1004#553—591no—
1005#553—591no—
1006#552—591no—
1007#552—591no—
1008#551—1181no—
1009#548—591no—
1010#548—591no—
1011#547—591no—
1012#547—591no—
1013#547—1181no—
1014#546—591no—
1015#546—591no—
1016#546—591no—
1017#546—591no—
1018#546—591no—
1019#546—1181no—
1020#546—1181no—
1021#546C2×D5911yescharacteristic, complemented
1022D42—591no—
1023D42—1181no—
1024D42C2×D5911yescharacteristic
1025#540—1181no—
1026#540—1181no—
1027#538—1181no—
1028#538—1181no—
1029#537—591no—
1030#537—591no—
1031#537—591no—
1032#537—591no—
1033#536—591no—
1034#535—591no—
1035#534—1181no—
1036#534—1181no—
1037#532—591no—
1038#532—591no—
1039#529—591no—
1040#529—591no—
1041C2×#121—1181no—
1042C2×#121—1181no—
1043C2×C4×D4—591no—
1044#497—591no—
1045#496C2×D5911yescharacteristic, complemented
1046#495—591no—
1047#495—591no—
1048#491—591no—
1049#490—591no—
1050#488—591no—
1051#488—591no—
1052#485—591no—
1053#485—591no—
1054#484—591no—
1055#484—591no—
1056#483—591no—
1057#483—591no—
1058#482—591no—
1059#482—591no—
1060#481—591no—
1061#481—591no—
1062#480—591no—
1063#480—591no—
1064#478—591no—
1065#478—591no—
1066#478—591no—
1067#478—591no—
1068#470—591no—
1069#470—591no—
1070#469—591no—
1071#469C2×D5911yescharacteristic, complemented
1072#468—591no—
1073#468—591no—
1074#468—591no—
1075#468—591no—
1076#467—591no—
1077#467—591no—
1078#466—591no—
1079#466—591no—
1080#465—591no—
1081#465—591no—
1082#465—591no—
1083#465C2×D5911yescharacteristic, complemented
1084#464—591no—
1085#464—591no—
1086#463—591no—
1087#463—591no—
1088#463—591no—
1089#463—591no—
1090#463—591no—
1091#463C2×D5911yescharacteristic, complemented
1092#462—591no—
1093#461—591no—
1094#460—591no—
1095#459C2×D5911yescharacteristic, complemented
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452—591no—
1100#452—591no—
1101#452—591no—
1102#452—591no—
1103#452—591no—
1104#452—591no—
1105#452—591no—
1106#451—591no—
1107#450—591no—
1108#450—591no—
1109#450—591no—
1110#450—591no—
1111#450—591no—
1112#450—591no—
1113#450C2×D5911yescharacteristic, complemented
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#449—591no—
1118#449—591no—
1119#449—591no—
1120#449—591no—
1121#449—591no—
1122#449—591no—
1123#449C2×D5911yescharacteristic, complemented
1124#448—591no—
1125#447—591no—
1126#447—591no—
1127#447—591no—
1128#447—591no—
1129#447—591no—
1130#447C2×D5911yescharacteristic, complemented
1131#447C2×D5911yescharacteristic, complemented
1132#442—591no—
1133#442C2×D5911yescharacteristic, complemented
1134#440—591no—
1135#440—591no—
1136C4×SD16—591no—
1137C4×SD16—591no—
1138C4×D8—591no—
1139C4×D8—591no—
1140#436—591no—
1141#436—591no—
1142#435—591no—
1143#435—591no—
1144#435—591no—
1145#435C2×D5911yescharacteristic, complemented
1146C8×D4—591no—
1147C8×D4—591no—
1148#432—591no—
1149#431—591no—
1150#418—591no—
1151#418—591no—
1152#417—591no—
1153#417—591no—
1154#416—591no—
1155#416—591no—
1156C2×#102—591no—
1157C2×#102—591no—
1158#408—591no—
1159#408—591no—
1160#408—591no—
1161#408—591no—
1162C59#6167811yescharacteristic, complemented, Sylow
1163H(5,𝔽2)—2362no—
1164H(5,𝔽2)—2362no—
1165H(5,𝔽2)—2362no—
1166H(5,𝔽2)—2362no—
1167C2×#41—591no—
1168C2×#41—591no—
1169C2×#41—591no—
1170C2×#41—591no—
1171C2×#41—591no—
1172C2×#41—591no—
1173C2×#41—591no—
1174C2×#41—591no—
1175C2×#41—591no—
1176C2×#41—1181no—
1177C2×#41—1181no—
1178C2×#41C22×D5911yescharacteristic
1179C22×Q8—591no—
1180C22×D4—21no—
1181C22×D4—591no—
1182C22×D4—591no—
1183C22×D4—591no—
1184C22×D4—1181no—
1185C22×D4—1181no—
1186C22×D4—1181no—
1187C22×D4—1181no—
1188C22×D4—1181no—
1189C22×D4—1181no—
1190C22×D4—1181no—
1191C22×D4C22×D5911yescharacteristic
1192C22×D4C22×D5911yescharacteristic
1193C22×D4C22×D5911yescharacteristic
1194C23×C4—1181no—
1195#137—2362no—
1196AGL(1,ℤ/8)—42no—
1197AGL(1,ℤ/8)—2362no—
1198AGL(1,ℤ/8)—2362no—
1199#135—2362no—
1200#135—2362no—
1201C2×Q16—591no—
1202C2×Q16—591no—
1203C2×Q16—591no—
1204C2×Q16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—591no—
1212C2×SD16—591no—
1213C2×SD16—591no—
1214C2×SD16—2362no—
1215C2×SD16C22×D5911yescharacteristic
1216C2×SD16C22×D5911yescharacteristic
1217C2×SD16C22×D5911yescharacteristic
1218C2×D8—42no—
1219C2×D8—591no—
1220C2×D8—591no—
1221C2×D8C22×D5911yescharacteristic
1222C2×D8C22×D5911yescharacteristic
1223C2×D8C22×D5911yescharacteristic
1224C2×D8C22×D5911yescharacteristic
1225C2×D8C22×D5911yescharacteristic
1226C2×D8C22×D5911yescharacteristic
1227C2×M16—591no—
1228C2×M16—591no—
1229C2×M16—591no—
1230C2×M16C22×D5911yescharacteristic
1231C22×C8—591no—
1232C22×C8—591no—
1233C22×C8—591no—
1234C22×C8C22×D5911yescharacteristic
1235C4⋊Q8—591no—
1236C4⋊Q8—591no—
1237C4⋊Q8—1181no—
1238#127—591no—
1239#127—1181no—
1240#127C22×D5911yescharacteristic
1241#126—1181no—
1242#126—1181no—
1243#126—1181no—
1244#126—1181no—
1245#126—1181no—
1246#126—1181no—
1247#125—591no—
1248#125—591no—
1249#125—1181no—
1250#125—1181no—
1251#124—591no—
1252#124—591no—
1253#124—591no—
1254#124—591no—
1255#124—591no—
1256#124—1181no—
1257#124—1181no—
1258#124—1181no—
1259#124—1181no—
1260#124C22×D5911yescharacteristic
1261#123—21no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278#123—1181no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—591no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8C22×D5911yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—591no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—1181no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121C22×D5911yescharacteristic
1335#121C22×D5911yescharacteristic
1336#121C22×D5911yescharacteristic
1337#120—21no—
1338#120—21no—
1339#120—21no—
1340#120—1181no—
1341#120—1181no—
1342#120—1181no—
1343#120—1181no—
1344#120—1181no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348#120—1181no—
1349C4×Q8—591no—
1350C4×Q8—591no—
1351C4×D4—591no—
1352C4×D4—591no—
1353C4×D4—591no—
1354C4×D4—591no—
1355C4×D4—591no—
1356C4×D4—591no—
1357C4×D4—591no—
1358C4×D4—1181no—
1359C4×D4—1181no—
1360C4×D4—1181no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4—1181no—
1366C4×D4—1181no—
1367C4×D4—1181no—
1368C4×D4C22×D5911yescharacteristic
1369C4×D4C22×D5911yescharacteristic
1370C4×D4C22×D5911yescharacteristic
1371#117—591no—
1372#117—591no—
1373#117—1181no—
1374#117—1181no—
1375#117—1181no—
1376#117—1181no—
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4—591no—
1379C2×C4⋊C4—591no—
1380C2×C4⋊C4—1181no—
1381C2×C4⋊C4—1181no—
1382C2×C22⋊C4—21no—
1383C2×C22⋊C4—1181no—
1384C2×C22⋊C4—1181no—
1385C2×C22⋊C4—1181no—
1386C2×C22⋊C4—1181no—
1387C2×C22⋊C4—1181no—
1388C2×C22⋊C4—1181no—
1389C2×C42—591no—
1390#107—591no—
1391#107—591no—
1392#107—591no—
1393#107—591no—
1394#106—591no—
1395#106—591no—
1396#106—591no—
1397#106C22×D5911yescharacteristic
1398C4⋊C8—591no—
1399C4⋊C8—591no—
1400C4⋊C8—591no—
1401C4⋊C8C22×D5911yescharacteristic
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103C22×D5911yescharacteristic
1414#102—591no—
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102C22×D5911yescharacteristic
1430#102C22×D5911yescharacteristic
1431#102C22×D5911yescharacteristic
1432#102C22×D5911yescharacteristic
1433#102C22×D5911yescharacteristic
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8—591no—
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8—591no—
1444C22⋊C8C22×D5911yescharacteristic
1445C22⋊C8C22×D5911yescharacteristic
1446#97—591no—
1447#97C22×D5911yescharacteristic
1448C4×C8—591no—
1449C4×C8—591no—
1450C24—21no—
1451C24—21no—
1452C24—21no—
1453C24—1181no—
1454C24—1181no—
1455C24—1181no—
1456#41—41no—
1457#41—41no—
1458#41—1182no—
1459#41—1182no—
1460#41—1182no—
1461#41—1182no—
1462#41—2361no—
1463#41—2361no—
1464#41—2361no—
1465#41—2361no—
1466#41—2361no—
1467#41—2361no—
1468#41—2361no—
1469#41—2361no—
1470#41—2361no—
1471#41—2361no—
1472#41—2361no—
1473#41—2361no—
1474#41—2361no—
1475#41—2361no—
1476#41—2364no—
1477#41—2364no—
1478C2×Q8—591no—
1479C2×Q8—591no—
1480C2×Q8—591no—
1481C2×Q8—591no—
1482C2×Q8—591no—
1483C2×Q8—1181no—
1484C2×Q8—2361no—
1485C2×Q8—2361no—
1486C2×Q8C23×D5911yescharacteristic
1487C2×D4—22no—
1488C2×D4—22no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—41no—
1499C2×D4—41no—
1500C2×D4—41no—
1501C2×D4—41no—
1502C2×D4—82no—
1503C2×D4—591no—
1504C2×D4—591no—
1505C2×D4—591no—
1506C2×D4—591no—
1507C2×D4—591no—
1508C2×D4—591no—
1509C2×D4—591no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—591no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—1182no—
1517C2×D4—1182no—
1518C2×D4—1182no—
1519C2×D4—1182no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—4722no—
1535C2×D4—2361no—
1536C2×D4—2361no—
1537C2×D4—2364no—
1538C2×D4—2364no—
1539C2×D4—2364no—
1540C2×D4—2364no—
1541C2×D4—2364no—
1542C2×D4—2364no—
1543C2×D4D4×D5911yescharacteristic
1544C2×D4C23×D5911yescharacteristic
1545C2×D4C23×D5911yescharacteristic
1546C2×D4C23×D5911yescharacteristic
1547C2×D4C23×D5911yescharacteristic
1548C2×D4C23×D5911yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—591no—
1553C22×C4—591no—
1554C22×C4—591no—
1555C22×C4—591no—
1556C22×C4—591no—
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—4722no—
1573C22×C4C23×D5911yescharacteristic
1574C22×C4C23×D5911yescharacteristic
1575Q16—2361no—
1576Q16—2361no—
1577Q16—2361no—
1578Q16—2361no—
1579SD16—22no—
1580SD16—41no—
1581SD16—41no—
1582SD16—1182no—
1583SD16—1182no—
1584SD16—1182no—
1585SD16—2361no—
1586SD16—2361no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591D8—22no—
1592D8—22no—
1593D8—41no—
1594D8—41no—
1595D8—41no—
1596D8—41no—
1597D8—1182no—
1598D8—1182no—
1599M16—41no—
1600M16—2361no—
1601M16—2361no—
1602M16—2361no—
1603C2×C8—41no—
1604C2×C8—591no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—2361no—
1609C2×C8—2361no—
1610C2×C8—2361no—
1611C2×C8C23×D5911yescharacteristic
1612C2×C8C23×D5911yescharacteristic
1613C2×C8C23×D5911yescharacteristic
1614C2×C8C23×D5911yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—591no—
1617C4⋊C4—591no—
1618C4⋊C4—591no—
1619C4⋊C4—591no—
1620C4⋊C4—591no—
1621C4⋊C4—591no—
1622C4⋊C4—591no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
1636C4⋊C4—1181no—
1637C4⋊C4—1181no—
1638C4⋊C4—1181no—
1639C4⋊C4—1181no—
1640C4⋊C4—1181no—
1641C4⋊C4—1181no—
1642C4⋊C4—1181no—
1643C4⋊C4D4×D5911yescharacteristic
1644C4⋊C4C23×D5911yescharacteristic
1645C4⋊C4C23×D5911yescharacteristic
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—591no—
1655C22⋊C4—591no—
1656C22⋊C4—591no—
1657C22⋊C4—591no—
1658C22⋊C4—591no—
1659C22⋊C4—591no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4D4×D5911yescharacteristic
1689C22⋊C4D4×D5911yescharacteristic
1690C42—591no—
1691C42—591no—
1692C42—591no—
1693C42—1181no—
1694C42—1181no—
1695C42—1181no—
1696C42—1181no—
1697C42C23×D5911yescharacteristic
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—42no—
1704C23—42no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—81no—
1709C23—81no—
1710C23—81no—
1711C23—81no—
1712C23—591no—
1713C23—591no—
1714C23—591no—
1715C23—1184no—
1716C23—1181no—
1717C23—4721no—
1718C23—4721no—
1719C23—4721no—
1720C23—4721no—
1721C23—4721no—
1722C23—4721no—
1723C23—2362no—
1724C23—2362no—
1725C23C2×D4×D5911yescharacteristic
1726C23C2×D4×D5911yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—1181no—
1730Q8—1181no—
1731Q8—1181no—
1732Q8—1181no—
1733Q8—1181no—
1734Q8—1181no—
1735Q8—4721no—
1736Q8—2361no—
1737Q8—2361no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—21no—
1747D4—41no—
1748D4—42no—
1749D4—42no—
1750D4—42no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754D4—81no—
1755D4—81no—
1756D4—81no—
1757D4—592no—
1758D4—1184no—
1759D4—1181no—
1760D4—4721no—
1761D4—4721no—
1762D4—4721no—
1763D4—4721no—
1764D4—4721no—
1765D4—4721no—
1766D4—4721no—
1767D4—4721no—
1768D4—2361no—
1769D4—2361no—
1770D4—2361no—
1771D4—2361no—
1772D4—2361no—
1773D4—2361no—
1774D4—2361no—
1775D4—2361no—
1776D4—2361no—
1777D4—2362no—
1778D4—2362no—
1779D4—2362no—
1780D4—2362no—
1781D4—2362no—
1782D4—2362no—
1783D4—2362no—
1784D4—2362no—
1785D4#1427377212yes—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—42no—
1794C2×C4—81no—
1795C2×C4—81no—
1796C2×C4—591no—
1797C2×C4—591no—
1798C2×C4—591no—
1799C2×C4—591no—
1800C2×C4—591no—
1801C2×C4—1181no—
1802C2×C4—1181no—
1803C2×C4—1181no—
1804C2×C4—1181no—
1805C2×C4—1181no—
1806C2×C4—1181no—
1807C2×C4—1181no—
1808C2×C4—1181no—
1809C2×C4—1181no—
1810C2×C4—1181no—
1811C2×C4—1181no—
1812C2×C4—1181no—
1813C2×C4—1181no—
1814C2×C4—4721no—
1815C2×C4—4721no—
1816C2×C4—4721no—
1817C2×C4—4721no—
1818C2×C4—4721no—
1819C2×C4—4721no—
1820C2×C4—4721no—
1821C2×C4—4721no—
1822C2×C4—2361no—
1823C2×C4—2361no—
1824C2×C4—2362no—
1825C2×C4—2362no—
1826C2×C4—2362no—
1827C2×C4—2362no—
1828C2×C4—2362no—
1829C2×C4—2362no—
1830C2×C4—2362no—
1831C2×C4C2×D4×D5911yescharacteristic
1832C2×C4C2×D4×D5911yescharacteristic
1833C2×C4C2×D4×D5911yescharacteristic
1834C2×C4C2×D4×D5911yescharacteristic
1835C2×C4C24×D5911yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C8—1181no—
1844C22—21no—
1845C22—21no—
1846C22—22no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—162no—
1866C22—162no—
1867C22—162no—
1868C22—1181no—
1869C22—1181no—
1870C22—1181no—
1871C22—1182no—
1872C22—1181no—
1873C22—1181no—
1874C22—1181no—
1875C22—1181no—
1876C22—1181no—
1877C22—1181no—
1878C22—9442no—
1879C22—9442no—
1880C22—4724no—
1881C22—2361no—
1882C22—2361no—
1883C22C22×D4×D5911yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—1181no—
1892C4—1181no—
1893C4—1181no—
1894C4—1181no—
1895C4—1181no—
1896C4—2361no—
1897C4—2361no—
1898C4—2361no—
1899C4—2361no—
1900C4—2361no—
1901C4—2361no—
1902C4—2361no—
1903C4H(5,𝔽2)×D5911yescharacteristic
1904C4C2×#1427377211yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—42no—
1908C2—81no—
1909C2—81no—
1910C2—81no—
1911C2—81no—
1912C2—2361no—
1913C2—2361no—
1914C2—2361no—
1915C2—2362no—
1916C2#2143772411yescharacteristic
1917C2#2143886411yescharacteristic
1918C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3264C2
socleC22×C59C23×D4
hypercenter#3264D59
hypocenterC59#61678
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #21438516C2semidirect
2. #21437852C2semidirect
3. #21436316C2semidirect
4. #21436292C2semidirect
5. #21436244C2semidirect
6. #21436194C2semidirect
7. #21436117C2semidirect
8. #21436077C2semidirect
9. #21435950C2semidirect
10. #21435926C2semidirect
11. #21435806C2semidirect
12. #21435781C2semidirect
13. #21435727C2semidirect
14. #21435707C2semidirect
15. #21435657C2semidirect
16. #21435617C2semidirect
17. #21435590C2semidirect
18. #21435128C2semidirect
19. #21435070C2semidirect
20. #21435007C2semidirect
21. #21434995C2semidirect
22. #21434971C2semidirect
23. #21434944C2semidirect
24. #21434232C2semidirect
25. #21434142C2semidirect
26. #21433399C2semidirect
27. #21433395C2semidirect
28. #21433368C2semidirect
29. #21433360C2semidirect
30. #21433168C2semidirect
31. C59×#3264C2semidirect
33. C2×#14273772C22semidirect
34. C2×#14273756C22semidirect
35. C2×#14273753C22semidirect
36. C2×#14273751C22semidirect
37. C2×#14273747C22semidirect
38. C2×#14273746C22semidirect
39. C2×SD16×D59C22semidirect
43. #16838104C22semidirect
44. #16838102C22semidirect
45. #16838092C22semidirect
46. #16838086C22semidirect
48. #16838060C22semidirect
49. #16838059C22semidirect
51. #16838056C22semidirect
54. #16838049C22semidirect
56. #16838046C22semidirect
57. #16838046C22semidirect
60. #16838037C22semidirect
67. #16837981C22semidirect
68. #16837981C22semidirect
69. #16837980C22semidirect
70. #16837975C22semidirect
71. #16837969C22semidirect
74. #16837950C22semidirect
76. #16837934C22semidirect
77. #16837931C22semidirect
80. C4×D4×D59C22semidirect
81. #16837797C22semidirect
82. #16837785C22semidirect
83. #16837785C22semidirect
84. #16837771C22semidirect
85. #16837766C22semidirect
86. #16837755C22semidirect
87. #16837755C22semidirect
88. #16837746C22semidirect
89. #16837744C22semidirect
90. #16837738C22semidirect
91. #16837736C22semidirect
92. #16837734C22semidirect
93. #16837734C22semidirect
94. #16837724C22semidirect
95. #16837723C22semidirect
96. #16837719C22semidirect
97. #16837719C22semidirect
98. #16837714C22semidirect
99. #16837713C22semidirect
100. #16837703C22semidirect
101. #16837702C22semidirect
102. #16837701C22semidirect
103. #16837700C22semidirect
104. #16837660C22semidirect
105. #16837658C22semidirect
106. #16837652C22semidirect
107. #16837647C22semidirect
108. #16837647C22semidirect
109. #16837646C22semidirect
110. #16837645C22semidirect
111. #16837643C22semidirect
112. #16837642C22semidirect
113. #16837635C22semidirect
114. #16837635C22semidirect
115. #16837630C22semidirect
116. #16837629C22semidirect
117. #16837629C22semidirect
118. #16837622C22semidirect
119. #16837622C22semidirect
120. #16837616C22semidirect
121. #16837615C22semidirect
122. #16837615C22semidirect
123. #16837615C22semidirect
124. #16837614C22semidirect
125. #16837613C22semidirect
126. #16837607C22semidirect
127. #16837599C22semidirect
128. #16837566C22semidirect
129. #16837566C22semidirect
130. #16837565C22semidirect
131. #16837565C22semidirect
132. #16837565C22semidirect
133. #16837564C22semidirect
134. #16837562C22semidirect
135. #16837561C22semidirect
136. #16837561C22semidirect
137. #16837561C22semidirect
138. #16837559C22semidirect
139. #16837554C22semidirect
140. #16837553C22semidirect
141. #16837553C22semidirect
142. #16837553C22semidirect
143. #16837551C22semidirect
144. #16837551C22semidirect
145. #16837545C22semidirect
146. #16837544C22semidirect
147. #16837544C22semidirect
148. #16837544C22semidirect
149. #16837544C22semidirect
150. #16837544C22semidirect
151. #16837544C22semidirect
152. #16837544C22semidirect
153. #16837544C22semidirect
154. #16837539C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837512C22semidirect
161. #16837504C22semidirect
162. #16837502C22semidirect
163. SD16×Dic59C22semidirect
164. #16837487C22semidirect
165. D8×Dic59C22semidirect
166. #16837482C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837475C22semidirect
170. #16837474C22semidirect
171. #16837472C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837454C22semidirect
176. #16837407C22semidirect
177. #16837405C22semidirect
178. #16837404C22semidirect
179. #16837400C22semidirect
180. #16837399C22semidirect
181. #16837395C22semidirect
182. C2×#14273648C22semidirect
183. #102×D59C22semidirect
184. #16837370C22semidirect
185. #16837368C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C22×D8×C59C22semidirect
190. C59×#546C22semidirect
192. C59×#496C22semidirect
193. C59×#469C22semidirect
194. C59×#465C22semidirect
195. C59×#463C22semidirect
196. C59×#459C22semidirect
197. C59×#450C22semidirect
198. C59×#449C22semidirect
199. C59×#447C22semidirect
200. C59×#447C22semidirect
201. C59×#442C22semidirect
202. C59×#435C22semidirect
963. #3264D59semidirect
996. C2×AGL(1,ℤ/8)C2×D59semidirect
1000. C22×D8C2×D59semidirect
1021. #546C2×D59semidirect
1045. #496C2×D59semidirect
1071. #469C2×D59semidirect
1083. #465C2×D59semidirect
1091. #463C2×D59semidirect
1095. #459C2×D59semidirect
1113. #450C2×D59semidirect
1123. #449C2×D59semidirect
1130. #447C2×D59semidirect
1131. #447C2×D59semidirect
1133. #442C2×D59semidirect
1145. #435C2×D59semidirect
1162. C59#61678semidirect

Maximal subgroups

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

subgroupindex
#214385162
#214378522
#214363162
#214362922
#214362442
#214361942
#214361172
#214360772
#214359502
#214359262
#214358062
#214357812
#214357272
#214357072
#214356572
#214356172
#214355902
#214351282
#214350702
#214350072
#214349952
#214349712
#214349442
#214342322
#214341422
#214333992
#214333952
#214333682
#214333602
#214331682
C59×#32642
#6167859