Finite Group Databasebeta

← #29474613

Subgroups — #29474613

Order 15104.

2156 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438316C211yesmaximal, characteristic, complemented
2#21437764C211yesmaximal, characteristic, complemented
3#21436434C211yesmaximal, characteristic, complemented
4#21436427C211yesmaximal, characteristic, complemented
5#21436179C211yesmaximal, characteristic, complemented
6#21436172C211yesmaximal, characteristic, complemented
7#21436092C211yesmaximal, characteristic, complemented
8#21436080C211yesmaximal, characteristic, complemented
9#21435912C211yesmaximal, characteristic, complemented
10#21435904C211yesmaximal, characteristic, complemented
11#21435832C211yesmaximal, characteristic, complemented
12#21435831C211yesmaximal, characteristic, complemented
13#21435707C211yesmaximal, characteristic, complemented
14#21435703C211yesmaximal, characteristic, complemented
15#21435630C211yesmaximal, characteristic, complemented
16#21435594C211yesmaximal, characteristic, complemented
17#21435590C211yesmaximal, characteristic, complemented
18#21435187C211yesmaximal, characteristic, complemented
19#21435185C211yesmaximal, characteristic, complemented
20#21434995C211yesmaximal, characteristic, complemented
21#21434992C211yesmaximal, characteristic, complemented
22#21434897C211yesmaximal, characteristic, complemented
23#21434845C211yesmaximal, characteristic, complemented
24#21434357C211yesmaximal, characteristic, complemented
25#21434356C211yesmaximal, characteristic, complemented
26#21433398C211yesmaximal, characteristic, complemented
27#21433396C211yesmaximal, characteristic, complemented
28#21433344C211yesmaximal, characteristic, complemented
29#452×D59C211yesmaximal, characteristic, complemented
30#21433143C211yesmaximal, characteristic, complemented
31C59×#3268C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C2×#41×D59C2211yescharacteristic
34C2×#14273753C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C2×#14273748C2211yescharacteristic, complemented
38C2×Q16×D59C2211yescharacteristic, complemented
39C2×SD16×D59C2211yescharacteristic, complemented
40#16838149—21no—
41#16838147—21no—
42#16838110C2211yescharacteristic, complemented
43#16838109C2211yescharacteristic, complemented
44#16838071C2211yescharacteristic
45#16838064C2211yescharacteristic, complemented
46#16838060C2211yescharacteristic, complemented
47#16838059C2211yescharacteristic, complemented
48#16838059C2211yescharacteristic, complemented
49#16838057C2211yescharacteristic, complemented
50#16838052C2211yescharacteristic, complemented
51#16838049—21no—
52#16838049C2211yescharacteristic
53#16838048—21no—
54#16838048C2211yescharacteristic
55#16838046C2211yescharacteristic, complemented
56#16838042—21no—
57#16838039—21no—
58#16838037—21no—
59#16838037C2211yescharacteristic, complemented
60#16838036—21no—
61#16838036C2211yescharacteristic, complemented
62#16838028—21no—
63#16838021C2211yescharacteristic, complemented
64#16838017C2211yescharacteristic, complemented
65#16837995—21no—
66#16837987—21no—
67#16837981—21no—
68#16837981—21no—
69#16837981C2211yescharacteristic, complemented
70#16837981C2211yescharacteristic, complemented
71#16837980C2211yescharacteristic, complemented
72#16837965—21no—
73#16837965C2211yescharacteristic, complemented
74#16837911—21no—
75#16837911C2211yescharacteristic
76C22⋊Q8×D59C2211yescharacteristic, complemented
77C2×#14273698C2211yescharacteristic, complemented
78#121×D59—21no—
79#121×D59C2211yescharacteristic
80#16837884C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837785C2211yescharacteristic, complemented
83#16837784C2211yescharacteristic, complemented
84#16837762C2211yescharacteristic, complemented
85#16837760C2211yescharacteristic, complemented
86#16837748C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837739C2211yescharacteristic, complemented
89#16837739C2211yescharacteristic, complemented
90#16837738C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837717C2211yescharacteristic, complemented
93#16837716C2211yescharacteristic, complemented
94#16837714C2211yescharacteristic, complemented
95#16837714C2211yescharacteristic, complemented
96#16837714C2211yescharacteristic, complemented
97#16837714C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic, complemented
99#16837713C2211yescharacteristic, complemented
100#16837697C2211yescharacteristic, complemented
101#16837695C2211yescharacteristic, complemented
102#16837683C2211yescharacteristic, complemented
103#16837681C2211yescharacteristic, complemented
104#16837650C2211yescharacteristic, complemented
105#16837648C2211yescharacteristic, complemented
106#16837647C2211yescharacteristic, complemented
107#16837646C2211yescharacteristic, complemented
108#16837646C2211yescharacteristic, complemented
109#16837646C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837643C2211yescharacteristic, complemented
112#16837642C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837635C2211yescharacteristic, complemented
116#16837635C2211yescharacteristic, complemented
117#16837635C2211yescharacteristic, complemented
118#16837625C2211yescharacteristic, complemented
119#16837622C2211yescharacteristic, complemented
120#16837622C2211yescharacteristic, complemented
121#16837617C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic, complemented
124#16837614C2211yescharacteristic, complemented
125#16837600C2211yescharacteristic, complemented
126#16837599C2211yescharacteristic, complemented
127#16837595C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837565C2211yescharacteristic, complemented
131#16837565C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837564C2211yescharacteristic, complemented
134#16837564C2211yescharacteristic, complemented
135#16837563C2211yescharacteristic, complemented
136#16837563C2211yescharacteristic, complemented
137#16837562C2211yescharacteristic, complemented
138#16837561C2211yescharacteristic, complemented
139#16837555C2211yescharacteristic, complemented
140#16837554C2211yescharacteristic, complemented
141#16837551C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837546C2211yescharacteristic
144#16837546C2211yescharacteristic
145#16837546C2211yescharacteristic, complemented
146#16837544C2211yescharacteristic, complemented
147#16837544C2211yescharacteristic, complemented
148#16837544C2211yescharacteristic, complemented
149#16837542C2211yescharacteristic, complemented
150#16837539C2211yescharacteristic, complemented
151#16837539C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837536C2211yescharacteristic, complemented
154#16837535C2211yescharacteristic, complemented
155#16837534C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837505C2211yescharacteristic, complemented
161#16837504C2211yescharacteristic, complemented
162#16837503C2211yescharacteristic, complemented
163Q16×Dic59C2211yescharacteristic, complemented
164C4×#11745672C2211yescharacteristic, complemented
165C4×#11745669C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837480C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic, complemented
170#16837475C2211yescharacteristic, complemented
171#16837471C2211yescharacteristic, complemented
172#16837467C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic, complemented
174#16837464C2211yescharacteristic, complemented
175#16837462C2211yescharacteristic, complemented
176#16837404C2211yescharacteristic, complemented
177#16837403C2211yescharacteristic, complemented
178#16837403C2211yescharacteristic, complemented
179#16837402C2211yescharacteristic, complemented
180#103×D59C2211yescharacteristic, complemented
181C2×#14273649C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837368C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837365C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C2×#135×C59C2211yescharacteristic, complemented
190C59×#550C2211yescharacteristic
191C59×#546C2211yescharacteristic, complemented
192C59×#496C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745685—21no—
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745687—21no—
213C2×#11745687—21no—
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216#41×D59—42no—
217#41×D59—42no—
218C2×Q8×D59C2311yescharacteristic
219C2×Q8×D59C2311yescharacteristic
220C22×D236—21no—
221C22×D236C2311yescharacteristic
222C22×C22⋊D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C2×D4×D59C2311yescharacteristic
232C22×C4×D59—21no—
233C22×C4×D59C2311yescharacteristic
234#14273753—42no—
235#14273752—42no—
236#14273751—42no—
237#14273748—42no—
238C2×Dic236C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241Q16×D59—42no—
242C2×#11745660C2311yescharacteristic
243C2×#11745660C2311yescharacteristic
244C2×#11745670C2311yescharacteristic
245C2×#11745670C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745670C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250SD16×D59—42no—
251C2×#11745669C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255C2×#11745664C2311yescharacteristic
256C2×#11745664C2311yescharacteristic
257C2×#11745659C2311yescharacteristic
258C2×C8×D59C2311yescharacteristic
259C2×C8×D59C2311yescharacteristic
260C2×C8×D59C2311yescharacteristic
261#14273727C2311yescharacteristic
262#14273726C2311yescharacteristic
263#14273723—21no—
264#14273723C2311yescharacteristic
265#14273720—21no—
266#14273720—21no—
267#14273718—21no—
268#14273717—21no—
269#14273715—21no—
270#14273715C2311yescharacteristic
271#14273714—21no—
272#14273714—21no—
273#14273714C2311yescharacteristic
274#14273714C2311yescharacteristic
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273712—21no—
279#14273712D411yescharacteristic
280#14273711—21no—
281#14273710—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273709D411yescharacteristic
287#14273708—21no—
288#14273708—21no—
289#14273707—21no—
290#14273707—21no—
291#14273707C2311yescharacteristic
292#14273707C2311yescharacteristic
293#14273706—21no—
294#14273706—21no—
295#14273706—21no—
296#14273706—21no—
297#14273706—21no—
298#14273706C2311yescharacteristic
299#14273706C2311yescharacteristic
300#14273706C2311yescharacteristic
301#14273705—21no—
302#14273705D411yescharacteristic
303#14273704—21no—
304#14273704—21no—
305#14273704—21no—
306#14273704—21no—
307#14273704—21no—
308#14273704—21no—
309#14273704—21no—
310#14273704—21no—
311#14273704—21no—
312#14273704D411yescharacteristic
313#14273703C2311yescharacteristic
314#14273703C2311yescharacteristic
315#14273702—21no—
316#14273702C2311yescharacteristic
317#14273701—21no—
318#14273701—21no—
319#14273701C2311yescharacteristic
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700D411yescharacteristic
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273699D411yescharacteristic
336#14273698—21no—
337#14273698—21no—
338#14273698—21no—
339#14273698—21no—
340#14273698—21no—
341#14273698—21no—
342#14273698—21no—
343#14273698—21no—
344#14273698—21no—
345#14273698C2311yescharacteristic
346#14273698C2311yescharacteristic
347#14273698C2311yescharacteristic
348#14273698C2311yescharacteristic
349#14273698C2311yescharacteristic
350#14273698C2311yescharacteristic
351#14273698C2311yescharacteristic
352#14273697—21no—
353#14273697D411yescharacteristic
354#14273696—21no—
355#14273695—21no—
356#14273695—21no—
357#14273695—21no—
358#14273695—21no—
359#14273695—21no—
360#14273695—21no—
361#14273695—21no—
362#14273695D411yescharacteristic
363Q8×Dic59C2311yescharacteristic
364Q8×Dic59C2311yescharacteristic
365C4×Dic118C2311yescharacteristic
366C4×D236—21no—
367C4×D236—21no—
368C4×D236C2311yescharacteristic
369C4×D236C2311yescharacteristic
370D4×Dic59—21no—
371D4×Dic59C2311yescharacteristic
372#14273689—21no—
373#14273689C2311yescharacteristic
374C4×C22⋊D59—21no—
375C4×C22⋊D59—21no—
376C4×C22⋊D59—21no—
377C4×C22⋊D59C2311yescharacteristic
378C4×C22⋊D59C2311yescharacteristic
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381#14273684—21no—
382#14273684C2311yescharacteristic
383C2×C4⋊Dic59C2311yescharacteristic
384C2×C4⋊Dic59C2311yescharacteristic
385C4⋊C4×D59—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59C2311yescharacteristic
388C4⋊C4×D59C2311yescharacteristic
389C4⋊C4×D59C2311yescharacteristic
390C2×C22⋊Dic59—21no—
391C2×C22⋊Dic59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C22⋊C4×D59—21no—
395C22⋊C4×D59—21no—
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273661C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273660C2311yescharacteristic
401#14273660C2311yescharacteristic
402#14273660C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273647C2311yescharacteristic
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#14273637C2311yescharacteristic
443C4×C59⋊C8C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449AGL(1,ℤ/8)×C59—42no—
450#135×C59—42no—
451C2×Q16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×D8×C59C2311yescharacteristic
457C2×D8×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×M16×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic
462#127×C59—21no—
463#127×C59C2311yescharacteristic
464#124×C59C2311yescharacteristic
465#123×C59—21no—
466C22⋊Q8×C59C2311yescharacteristic
467#121×C59—21no—
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#121×C59C2311yescharacteristic
473#120×C59—21no—
474C4×Q8×C59C2311yescharacteristic
475C4×D4×C59—21no—
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C2×C22⋊C4×C59—21no—
479#107×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×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—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59C2×D411yescharacteristic
496#41×C59—22no—
497#41×C59—22no—
498#41×C59—41no—
499#41×C59—41no—
500#41×C59—41no—
501#41×C59—41no—
502C2×Q8×C59C2411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
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—21no—
511C2×D4×C59—21no—
512C2×D4×C59—21no—
513C2×D4×C59—41no—
514C2×D4×C59—41no—
515C2×D4×C59C2×D411yescharacteristic
516C2×D4×C59C2411yescharacteristic
517C2×D4×C59C2411yescharacteristic
518C2×D4×C59C2411yescharacteristic
519C2×D4×C59C2411yescharacteristic
520C22×C4×C59—21no—
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—82no—
543C2×C22⋊D59C2×D411yescharacteristic
544C2×C22⋊D59C2×D411yescharacteristic
545C2×C22⋊D59C2×D411yescharacteristic
546C2×C22⋊D59C2×D411yescharacteristic
547C22×Dic59—21no—
548C22×Dic59—21no—
549C22×Dic59—21no—
550C22×Dic59—21no—
551C22×Dic59—21no—
552C22×Dic59C2×D411yescharacteristic
553#11745689—22no—
554#11745689—22no—
555#11745689—22no—
556#11745689—41no—
557Q8×D59—22no—
558Q8×D59—41no—
559Q8×D59—41no—
560Q8×D59—41no—
561#11745687—41no—
562#11745687—41no—
563#11745687—41no—
564#11745687—41no—
565#11745687—44no—
566#11745687—82no—
567D4×D59—22no—
568D4×D59—22no—
569D4×D59—41no—
570D4×D59—41no—
571D4×D59—41no—
572D4×D59—41no—
573D4×D59—44no—
574D4×D59—44no—
575D4×D59—44no—
576D4×D59—82no—
577D4×D59—82no—
578D4×D59—82no—
579#11745685—22no—
580#11745685—41no—
581#11745685—41no—
582#11745685—41no—
583#11745685—44no—
584#11745685—44no—
585#11745685—82no—
586C2×D236—21no—
587C2×D236—22no—
588C2×D236—21no—
589C2×D236—21no—
590C2×D236—21no—
591C2×D236—41no—
592C2×D236—44no—
593C2×D236C2×D411yescharacteristic
594C2×D236C2×D411yescharacteristic
595C2×D236C2411yescharacteristic
596C2×D236C2411yescharacteristic
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—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—41no—
608C2×C4×D59—41no—
609C2×C4×D59—44no—
610C2×C4×D59C2×D411yescharacteristic
611C2×C4×D59C2×D411yescharacteristic
612C2×C4×D59C2411yescharacteristic
613C2×C4×D59C2411yescharacteristic
614C2×C4×D59C2411yescharacteristic
615C2×Dic118—21no—
616C2×Dic118—21no—
617C2×Dic118—21no—
618C2×Dic118—21no—
619C2×Dic118C2×D411yescharacteristic
620C2×Dic118C2411yescharacteristic
621C2×Dic118C2411yescharacteristic
622Q16×C59—22no—
623SD16×C59—22no—
624SD16×C59—22no—
625SD16×C59—41no—
626SD16×C59—41no—
627D8×C59—41no—
628D8×C59—41no—
629D8×C59—41no—
630D8×C59—41no—
631M16×C59—41no—
632C2×C8×C59—41no—
633C2×C8×C59C2411yescharacteristic
634C2×C8×C59C2411yescharacteristic
635C2×C8×C59C2411yescharacteristic
636C2×C8×C59C2411yescharacteristic
637C4⋊C4×C59—21no—
638C4⋊C4×C59—21no—
639C4⋊C4×C59C2×D411yescharacteristic
640C4⋊C4×C59C2411yescharacteristic
641C4⋊C4×C59C2411yescharacteristic
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59C2×D411yescharacteristic
650C22⋊C4×C59C2×D411yescharacteristic
651C42×C59—21no—
652C42×C59C2411yescharacteristic
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⋊Dic59—21no—
666C22⋊Dic59—21no—
667C22⋊Dic59—21no—
668C22⋊Dic59C2×D411yescharacteristic
669C22⋊Dic59C2×D411yescharacteristic
670#11745672—22no—
671#11745672—41no—
672#11745671—22no—
673#11745671—41no—
674#11745670—41no—
675#11745670—41no—
676#11745670—41no—
677#11745670—41no—
678#11745669—22no—
679#11745669—22no—
680#11745669—41no—
681#11745669—41no—
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)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4C2×D411yescharacteristic
693(C2×D59)⋊C4C2×D411yescharacteristic
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696(C2×D59)⋊C4C2×D411yescharacteristic
697(C2×D59)⋊C4C2×D411yescharacteristic
698C4⋊Dic59—21no—
699C4⋊Dic59—21no—
700C4⋊Dic59—21no—
701C4⋊Dic59—21no—
702C4⋊Dic59—21no—
703C4⋊Dic59—21no—
704C4⋊Dic59—21no—
705C4⋊Dic59C2×D411yescharacteristic
706C4⋊Dic59C2411yescharacteristic
707C4⋊Dic59C2411yescharacteristic
708C4⋊Dic59C2411yescharacteristic
709C4⋊Dic59C2411yescharacteristic
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719Dic59⋊C4—21no—
720Dic59⋊C4C2×D411yescharacteristic
721Dic59⋊C4C2×D411yescharacteristic
722Dic59⋊C4C2×D411yescharacteristic
723Dic59⋊C4C2×D411yescharacteristic
724C4×Dic59—21no—
725C4×Dic59—21no—
726C4×Dic59—21no—
727C4×Dic59C2411yescharacteristic
728#11745664—41no—
729#11745664—41no—
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734Dic236—41no—
735#11745660—22no—
736#11745660—41no—
737#11745659—41no—
738C8×D59—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—21no—
744C23×C59—21no—
745C23×C59—42no—
746C23×C59—81no—
747C23×C59—81no—
748C23×C59C22×D411yescharacteristic
749C23×C59C22×D411yescharacteristic
750C22×D59—21no—
751C22×D59—22no—
752C22×D59—21no—
753C22×D59—41no—
754C22×D59—41no—
755C22×D59—42no—
756C22×D59—42no—
757C22×D59—42no—
758C22×D59—42no—
759C22×D59—42no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
767C22×D59C22×D411yescharacteristic
768C22×D59C22×D411yescharacteristic
769C22×D59C22×D411yescharacteristic
770Q8×C59—21no—
771Q8×C59—21no—
772Q8×C59—21no—
773Q8×C59H(5,𝔽2)12yes—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—21no—
780D4×C59—21no—
781D4×C59—21no—
782D4×C59—41no—
783D4×C59—42no—
784D4×C59—42no—
785D4×C59—81no—
786D4×C59—81no—
787D4×C59—81no—
788D4×C59—81no—
789D4×C59—81no—
790D4×C59—81no—
791D4×C59—81no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—42no—
801C2×C4×C59—42no—
802C2×C4×C59—81no—
803C2×C4×C59—81no—
804C2×C4×C59C22×D411yescharacteristic
805C2×C4×C59C22×D411yescharacteristic
806C2×C4×C59C22×D411yescharacteristic
807C2×C4×C59C22×D411yescharacteristic
808C2×C4×C59C2511yescharacteristic
809C22⋊D59—22no—
810C22⋊D59—41no—
811C22⋊D59—41no—
812C22⋊D59—41no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—42no—
816C22⋊D59—42no—
817C22⋊D59—42no—
818C22⋊D59—42no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—81no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C22⋊D59—81no—
827C22⋊D59—81no—
828C22⋊D59—81no—
829C2×Dic59—21no—
830C2×Dic59—21no—
831C2×Dic59—21no—
832C2×Dic59—21no—
833C2×Dic59—21no—
834C2×Dic59—21no—
835C2×Dic59—41no—
836C2×Dic59—42no—
837C2×Dic59—81no—
838C2×Dic59—81no—
839C2×Dic59—81no—
840C2×Dic59—81no—
841C2×Dic59C22×D411yescharacteristic
842C2×Dic59C22×D411yescharacteristic
843C2×Dic59C22×D411yescharacteristic
844C2×Dic59C22×D411yescharacteristic
845C2×Dic59C22×D411yescharacteristic
846D236—24no—
847D236—22no—
848D236—21no—
849D236—21no—
850D236—21no—
851D236—41no—
852D236—42no—
853D236—42no—
854D236—42no—
855D236H(5,𝔽2)12yes—
856C4×D59—24no—
857C4×D59—21no—
858C4×D59—21no—
859C4×D59—21no—
860C4×D59—21no—
861C4×D59—21no—
862C4×D59—21no—
863C4×D59—41no—
864C4×D59—41no—
865C4×D59—42no—
866C4×D59—42no—
867C4×D59—42no—
868C4×D59—42no—
869C4×D59—81no—
870C4×D59—81no—
871C4×D59—81no—
872C4×D59—81no—
873C4×D59—81no—
874Dic118—21no—
875Dic118—21no—
876Dic118—21no—
877Dic118—21no—
878Dic118—41no—
879Dic118—42no—
880Dic118—81no—
881Dic118—81no—
882Dic118—81no—
883C8×C59—21no—
884C8×C59—21no—
885C8×C59—21no—
886C8×C59—21no—
887C59⋊C8—21no—
888C59⋊C8—21no—
889C59⋊C8—21no—
890C59⋊C8—21no—
891#61624—591nomaximal, Sylow
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—21no—
895C22×C59—21no—
896C22×C59—21no—
897C22×C59—21no—
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—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—41no—
910C22×C59—162no—
911C22×C59C23×D411yescharacteristic
912C2×D59—21no—
913C2×D59—21no—
914C2×D59—21no—
915C2×D59—21no—
916C2×D59—21no—
917C2×D59—22no—
918C2×D59—21no—
919C2×D59—21no—
920C2×D59—21no—
921C2×D59—41no—
922C2×D59—41no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—41no—
926C2×D59—82no—
927C2×D59—84no—
928C2×D59—162no—
929C2×D59—162no—
930C2×D59—162no—
931C2×D59#57612yes—
932C4×C59—21no—
933C4×C59—22no—
934C4×C59—21no—
935C4×C59—21no—
936C4×C59—21no—
937C4×C59—41no—
938C4×C59—41no—
939C4×C59—41no—
940C4×C59C2×H(5,𝔽2)11yescharacteristic
941C4×C59C2×H(5,𝔽2)11yescharacteristic
942Dic59—21no—
943Dic59—21no—
944Dic59—21no—
945Dic59—21no—
946Dic59—21no—
947Dic59—41no—
948Dic59—41no—
949Dic59—41no—
950Dic59—41no—
951Dic59—41no—
952Dic59—41no—
953#3536—591no—
954#3488—591no—
955#3333—591no—
956#3333—591no—
957#3314—591no—
958#3314—591no—
959#3308—591no—
960#3308—591no—
961#3294—591no—
962#3294—591no—
963#3285—591no—
964#3285—591no—
965#3273—591no—
966#3273—591no—
967#3268—591no—
968#3268D5911yescharacteristic, complemented
969#3265—591no—
970#3265—591no—
971#3224—591no—
972#3224—591no—
973#3203—591no—
974#3203—591no—
975#3193—591no—
976#3186—591no—
977#3124—591no—
978#3124—591no—
979#3012—591no—
980#3012—591no—
981#3006—591no—
982C2×#452—591no—
983#2976—591no—
984C2×C59—41no—
985C2×C59—41no—
986C2×C59—81no—
987C2×C59—81no—
988C2×C59—81no—
989C2×C59—81no—
990C2×C59#348411yescharacteristic
991C2×C59C2×#57611yescharacteristic
992C2×C59#358611yescharacteristic
993D59—22no—
994D59—41no—
995D59—41no—
996D59—42no—
997D59—81no—
998C2×H(5,𝔽2)—591no—
999C22×#41—591no—
1000C2×AGL(1,ℤ/8)—591no—
1001C2×AGL(1,ℤ/8)—591no—
1002C2×AGL(1,ℤ/8)—591no—
1003C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1004C2×#135—591no—
1005C2×#135C2×D5911yescharacteristic, complemented
1006C22×Q16—591no—
1007C22×SD16—591no—
1008#562—1181no—
1009#562—1181no—
1010#554—591no—
1011#554—591no—
1012#550—591no—
1013#550C2×D5911yescharacteristic
1014#548—591no—
1015#548—591no—
1016#548—591no—
1017#548—591no—
1018#547—591no—
1019#547—591no—
1020#546—591no—
1021#546—591no—
1022#546—591no—
1023#546—1181no—
1024#546—1181no—
1025#546—1181no—
1026#546—1181no—
1027#546C2×D5911yescharacteristic, complemented
1028D42—591no—
1029D42—591no—
1030D42—1181no—
1031D42—1181no—
1032#543—1181no—
1033#542—591no—
1034#542—591no—
1035#539—1181no—
1036#538—1181no—
1037#537—591no—
1038#537—591no—
1039#537—591no—
1040#537—1181no—
1041#537—1181no—
1042#535—591no—
1043#535—1181no—
1044#525—591no—
1045#525—1181no—
1046C2×C22⋊Q8—591no—
1047C2×#121—591no—
1048C2×#121—591no—
1049C2×#121—1181no—
1050#520—591no—
1051#496—591no—
1052#496C2×D5911yescharacteristic, complemented
1053#495—591no—
1054#495—591no—
1055#489—591no—
1056#489—591no—
1057#486—591no—
1058#486—591no—
1059#484—591no—
1060#484—591no—
1061#484—591no—
1062#484—591no—
1063#480—591no—
1064#480—591no—
1065#480—591no—
1066#480—591no—
1067#480—591no—
1068#480—591no—
1069#480—591no—
1070#480—591no—
1071#477—591no—
1072#477—591no—
1073#474—591no—
1074#474—591no—
1075#468—591no—
1076#468—591no—
1077#468—591no—
1078#468—591no—
1079#468—591no—
1080#468—591no—
1081#468—591no—
1082#468C2×D5911yescharacteristic, complemented
1083#467—591no—
1084#467—591no—
1085#466—591no—
1086#466—591no—
1087#466—591no—
1088#466—591no—
1089#466—591no—
1090#466C2×D5911yescharacteristic, complemented
1091#464—591no—
1092#464—591no—
1093#464—591no—
1094#464C2×D5911yescharacteristic, complemented
1095#463—591no—
1096#463—591no—
1097#463—591no—
1098#463—591no—
1099#460—591no—
1100#460—591no—
1101#459—591no—
1102#459C2×D5911yescharacteristic, complemented
1103#452—591no—
1104#452—591no—
1105#452—591no—
1106#452—591no—
1107#452—591no—
1108#452—591no—
1109#452—591no—
1110#452—591no—
1111#452—591no—
1112#452—591no—
1113#452—591no—
1114#452C2×D5911yescharacteristic, complemented
1115#450—591no—
1116#450—591no—
1117#450—591no—
1118#450—591no—
1119#449—591no—
1120#449—591no—
1121#449—591no—
1122#449—591no—
1123#449—591no—
1124#449—591no—
1125#449C2×D5911yescharacteristic, complemented
1126#449C2×D5911yescharacteristic, complemented
1127#448—591no—
1128#448—591no—
1129#448—591no—
1130#448—591no—
1131#447—591no—
1132#447—591no—
1133#447—591no—
1134#447—591no—
1135#447—591no—
1136#447—591no—
1137#447—591no—
1138#447C2×D5911yescharacteristic, complemented
1139#440—591no—
1140#440—591no—
1141#440—591no—
1142#440C2×D5911yescharacteristic, complemented
1143C4×Q16—591no—
1144C4×Q16—591no—
1145C4×D8—591no—
1146C4×D8—591no—
1147#436—591no—
1148#436—591no—
1149#435—591no—
1150#435—591no—
1151#435—591no—
1152#435C2×D5911yescharacteristic, complemented
1153C8×D4—591no—
1154C8×D4—591no—
1155#433—591no—
1156#433—591no—
1157#417—591no—
1158#417—591no—
1159#417—591no—
1160#417—591no—
1161C2×#103—591no—
1162C2×#102—591no—
1163C2×#102—591no—
1164C2×#102—591no—
1165#408—591no—
1166#408—591no—
1167#407—591no—
1168C2×C22⋊C8—591no—
1169C59#6162411yescharacteristic, complemented, Sylow
1170H(5,𝔽2)—2362no—
1171H(5,𝔽2)—2362no—
1172C2×#41—591no—
1173C2×#41—591no—
1174C2×#41—591no—
1175C2×#41—591no—
1176C2×#41—591no—
1177C2×#41—591no—
1178C2×#41—1181no—
1179C2×#41—1181no—
1180C2×#41—1181no—
1181C2×#41—1181no—
1182C2×#41—1181no—
1183C2×#41—2362no—
1184C2×#41—2362no—
1185C2×#41C22×D5911yescharacteristic
1186C2×#41C22×D5911yescharacteristic
1187C2×#41C22×D5911yescharacteristic
1188C22×Q8—591no—
1189C22×Q8—591no—
1190C22×D4—591no—
1191C22×D4—591no—
1192C22×D4—591no—
1193C22×D4—591no—
1194C22×D4—1181no—
1195C22×D4—1181no—
1196C22×D4—1181no—
1197C22×D4—1181no—
1198C22×D4—1181no—
1199C22×D4—1181no—
1200C22×D4—1181no—
1201C22×D4—1181no—
1202C22×D4C22×D5911yescharacteristic
1203C23×C4—591no—
1204C23×C4—1181no—
1205AGL(1,ℤ/8)—42no—
1206AGL(1,ℤ/8)—2362no—
1207AGL(1,ℤ/8)—2362no—
1208AGL(1,ℤ/8)—2362no—
1209#135—42no—
1210#135—2362no—
1211C2×Q16—591no—
1212C2×Q16—591no—
1213C2×Q16—591no—
1214C2×Q16—2362no—
1215C2×Q16C22×D5911yescharacteristic
1216C2×SD16—591no—
1217C2×SD16—591no—
1218C2×SD16—591no—
1219C2×SD16—591no—
1220C2×SD16—591no—
1221C2×SD16—591no—
1222C2×SD16—591no—
1223C2×SD16—591no—
1224C2×SD16—2362no—
1225C2×SD16C22×D5911yescharacteristic
1226C2×SD16C22×D5911yescharacteristic
1227C2×SD16C22×D5911yescharacteristic
1228C2×SD16C22×D5911yescharacteristic
1229C2×D8—591no—
1230C2×D8—591no—
1231C2×D8—591no—
1232C2×D8—591no—
1233C2×D8C22×D5911yescharacteristic
1234C2×D8C22×D5911yescharacteristic
1235C2×D8C22×D5911yescharacteristic
1236C2×D8C22×D5911yescharacteristic
1237C2×M16—591no—
1238C2×M16—591no—
1239C2×M16—591no—
1240C2×M16C22×D5911yescharacteristic
1241C22×C8—591no—
1242C22×C8—591no—
1243C22×C8—591no—
1244C22×C8C22×D5911yescharacteristic
1245C4⋊Q8—591no—
1246C4⋊Q8—591no—
1247#127—21no—
1248#127—591no—
1249#127—1181no—
1250#127C22×D5911yescharacteristic
1251#126—1181no—
1252#126—1181no—
1253#125—1181no—
1254#125—1181no—
1255#124—591no—
1256#124—591no—
1257#124—591no—
1258#124—1181no—
1259#124—1181no—
1260#124—1181no—
1261#124—1181no—
1262#124—1181no—
1263#124—1181no—
1264#124C22×D5911yescharacteristic
1265#123—21no—
1266#123—591no—
1267#123—591no—
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—
1277C22⋊Q8—591no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—591no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8—1181no—
1295C22⋊Q8—1181no—
1296C22⋊Q8—1181no—
1297C22⋊Q8—1181no—
1298C22⋊Q8—1181no—
1299C22⋊Q8—1181no—
1300C22⋊Q8—1181no—
1301C22⋊Q8—1181no—
1302C22⋊Q8—1181no—
1303C22⋊Q8C22×D5911yescharacteristic
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
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#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121C22×D5911yescharacteristic
1345#121C22×D5911yescharacteristic
1346#121C22×D5911yescharacteristic
1347#120—21no—
1348#120—591no—
1349#120—591no—
1350#120—1181no—
1351#120—1181no—
1352#120—1181no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358#120—1181no—
1359C4×Q8—591no—
1360C4×Q8—591no—
1361C4×Q8—591no—
1362C4×Q8C22×D5911yescharacteristic
1363C4×D4—21no—
1364C4×D4—591no—
1365C4×D4—591no—
1366C4×D4—591no—
1367C4×D4—591no—
1368C4×D4—591no—
1369C4×D4—591no—
1370C4×D4—1181no—
1371C4×D4—1181no—
1372C4×D4—1181no—
1373C4×D4—1181no—
1374C4×D4—1181no—
1375C4×D4—1181no—
1376C4×D4—1181no—
1377C4×D4—1181no—
1378C4×D4—1181no—
1379C4×D4C22×D5911yescharacteristic
1380C4×D4C22×D5911yescharacteristic
1381#117—591no—
1382#117—1181no—
1383C2×C4⋊C4—591no—
1384C2×C4⋊C4—591no—
1385C2×C4⋊C4—591no—
1386C2×C4⋊C4—591no—
1387C2×C4⋊C4—591no—
1388C2×C4⋊C4—1181no—
1389C2×C4⋊C4—1181no—
1390C2×C22⋊C4—21no—
1391C2×C22⋊C4—1181no—
1392C2×C22⋊C4—1181no—
1393C2×C22⋊C4—1181no—
1394C2×C22⋊C4—1181no—
1395C2×C22⋊C4—1181no—
1396C2×C22⋊C4—1181no—
1397#107—591no—
1398#107—591no—
1399#107—591no—
1400#107—591no—
1401#107—591no—
1402#107—591no—
1403#107—591no—
1404#107C22×D5911yescharacteristic
1405C4⋊C8—591no—
1406C4⋊C8—591no—
1407C4⋊C8—591no—
1408C4⋊C8C22×D5911yescharacteristic
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#103—591no—
1415#103—591no—
1416#103—591no—
1417#103—591no—
1418#103—591no—
1419#103C22×D5911yescharacteristic
1420#103C22×D5911yescharacteristic
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#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102C22×D5911yescharacteristic
1438#102C22×D5911yescharacteristic
1439#102C22×D5911yescharacteristic
1440#102C22×D5911yescharacteristic
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8—591no—
1444C22⋊C8—591no—
1445C22⋊C8—591no—
1446C22⋊C8—591no—
1447C22⋊C8—591no—
1448C22⋊C8—591no—
1449C22⋊C8—591no—
1450C22⋊C8—591no—
1451C22⋊C8C22×D5911yescharacteristic
1452C22⋊C8C22×D5911yescharacteristic
1453#97—591no—
1454#97C22×D5911yescharacteristic
1455C4×C8—591no—
1456C4×C8—591no—
1457C24—21no—
1458C24—591no—
1459C24—1181no—
1460C24—1181no—
1461C24—1181no—
1462C24—1181no—
1463#41—22no—
1464#41—22no—
1465#41—41no—
1466#41—41no—
1467#41—41no—
1468#41—41no—
1469#41—1182no—
1470#41—1182no—
1471#41—1182no—
1472#41—1182no—
1473#41—4722no—
1474#41—4722no—
1475#41—2361no—
1476#41—2361no—
1477#41—2361no—
1478#41—2364no—
1479#41—2364no—
1480#41—2361no—
1481#41—2361no—
1482#41—2361no—
1483#41—2361no—
1484#41—2364no—
1485#41—2361no—
1486C2×Q8—591no—
1487C2×Q8—591no—
1488C2×Q8—591no—
1489C2×Q8—1181no—
1490C2×Q8—1181no—
1491C2×Q8—1181no—
1492C2×Q8—1181no—
1493C2×Q8—1182no—
1494C2×Q8—2361no—
1495C2×Q8—2361no—
1496C2×Q8—2361no—
1497C2×Q8C23×D5911yescharacteristic
1498C2×Q8C23×D5911yescharacteristic
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—591no—
1511C2×D4—591no—
1512C2×D4—591no—
1513C2×D4—591no—
1514C2×D4—591no—
1515C2×D4—591no—
1516C2×D4—591no—
1517C2×D4—591no—
1518C2×D4—1182no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1182no—
1528C2×D4—1182no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—4722no—
1542C2×D4—4722no—
1543C2×D4—4722no—
1544C2×D4—4722no—
1545C2×D4—2361no—
1546C2×D4—2364no—
1547C2×D4—2361no—
1548C2×D4—2361no—
1549C2×D4—2361no—
1550C2×D4—2361no—
1551C2×D4—2364no—
1552C2×D4—2364no—
1553C2×D4—2364no—
1554C2×D4D4×D5911yescharacteristic
1555C2×D4C23×D5911yescharacteristic
1556C2×D4C23×D5911yescharacteristic
1557C2×D4C23×D5911yescharacteristic
1558C2×D4C23×D5911yescharacteristic
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—21no—
1562C22×C4—21no—
1563C22×C4—591no—
1564C22×C4—591no—
1565C22×C4—591no—
1566C22×C4—591no—
1567C22×C4—591no—
1568C22×C4—591no—
1569C22×C4—1181no—
1570C22×C4—1181no—
1571C22×C4—1181no—
1572C22×C4—1181no—
1573C22×C4—1181no—
1574C22×C4—1181no—
1575C22×C4—1181no—
1576C22×C4—1181no—
1577C22×C4—1181no—
1578C22×C4—1181no—
1579C22×C4—1181no—
1580C22×C4—1181no—
1581C22×C4—1181no—
1582C22×C4—1181no—
1583C22×C4—1181no—
1584C22×C4—2361no—
1585C22×C4—2361no—
1586C22×C4—2364no—
1587C22×C4C23×D5911yescharacteristic
1588C22×C4C23×D5911yescharacteristic
1589Q16—22no—
1590Q16—1182no—
1591Q16—2361no—
1592Q16—2361no—
1593SD16—22no—
1594SD16—22no—
1595SD16—41no—
1596SD16—41no—
1597SD16—1182no—
1598SD16—1182no—
1599SD16—2361no—
1600SD16—2361no—
1601SD16—2361no—
1602SD16—2361no—
1603SD16—2361no—
1604SD16—2361no—
1605D8—41no—
1606D8—41no—
1607D8—41no—
1608D8—41no—
1609D8—1182no—
1610D8—1182no—
1611D8—2361no—
1612D8—2361no—
1613M16—41no—
1614M16—2361no—
1615M16—2361no—
1616M16—2361no—
1617C2×C8—41no—
1618C2×C8—591no—
1619C2×C8—591no—
1620C2×C8—591no—
1621C2×C8—591no—
1622C2×C8—2361no—
1623C2×C8—2361no—
1624C2×C8—2361no—
1625C2×C8C23×D5911yescharacteristic
1626C2×C8C23×D5911yescharacteristic
1627C2×C8C23×D5911yescharacteristic
1628C2×C8C23×D5911yescharacteristic
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—591no—
1632C4⋊C4—591no—
1633C4⋊C4—591no—
1634C4⋊C4—591no—
1635C4⋊C4—591no—
1636C4⋊C4—591no—
1637C4⋊C4—591no—
1638C4⋊C4—591no—
1639C4⋊C4—591no—
1640C4⋊C4—1181no—
1641C4⋊C4—1181no—
1642C4⋊C4—1181no—
1643C4⋊C4—1181no—
1644C4⋊C4—1181no—
1645C4⋊C4—1181no—
1646C4⋊C4—1181no—
1647C4⋊C4—1181no—
1648C4⋊C4—1181no—
1649C4⋊C4—1181no—
1650C4⋊C4—1181no—
1651C4⋊C4—1181no—
1652C4⋊C4—1181no—
1653C4⋊C4—1181no—
1654C4⋊C4—1181no—
1655C4⋊C4—1181no—
1656C4⋊C4—1181no—
1657C4⋊C4D4×D5911yescharacteristic
1658C4⋊C4C23×D5911yescharacteristic
1659C4⋊C4C23×D5911yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—591no—
1668C22⋊C4—591no—
1669C22⋊C4—591no—
1670C22⋊C4—591no—
1671C22⋊C4—591no—
1672C22⋊C4—591no—
1673C22⋊C4—591no—
1674C22⋊C4—591no—
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⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4D4×D5911yescharacteristic
1701C22⋊C4D4×D5911yescharacteristic
1702C42—21no—
1703C42—591no—
1704C42—1181no—
1705C42—1181no—
1706C42—1181no—
1707C42C23×D5911yescharacteristic
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—42no—
1713C23—81no—
1714C23—81no—
1715C23—591no—
1716C23—591no—
1717C23—591no—
1718C23—1182no—
1719C23—1181no—
1720C23—1181no—
1721C23—4721no—
1722C23—4721no—
1723C23—4721no—
1724C23—4721no—
1725C23—4721no—
1726C23—4721no—
1727C23—4721no—
1728C23—2361no—
1729C23—2361no—
1730C23—2362no—
1731C23—2362no—
1732C23—2362no—
1733C23—2362no—
1734C23—2362no—
1735C23C2×D4×D5911yescharacteristic
1736C23C2×D4×D5911yescharacteristic
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—1181no—
1741Q8—1181no—
1742Q8—1181no—
1743Q8—1181no—
1744Q8—4721no—
1745Q8—4721no—
1746Q8—4721no—
1747Q8—2361no—
1748Q8—2362no—
1749Q8#1427377212yes—
1750D4—21no—
1751D4—21no—
1752D4—21no—
1753D4—21no—
1754D4—21no—
1755D4—21no—
1756D4—21no—
1757D4—21no—
1758D4—41no—
1759D4—42no—
1760D4—42no—
1761D4—81no—
1762D4—81no—
1763D4—81no—
1764D4—81no—
1765D4—81no—
1766D4—81no—
1767D4—81no—
1768D4—592no—
1769D4—1182no—
1770D4—1184no—
1771D4—1182no—
1772D4—1181no—
1773D4—1181no—
1774D4—1181no—
1775D4—4721no—
1776D4—4721no—
1777D4—4721no—
1778D4—4721no—
1779D4—4721no—
1780D4—4721no—
1781D4—4721no—
1782D4—4721no—
1783D4—2361no—
1784D4—2362no—
1785D4—2362no—
1786D4—2362no—
1787D4—2361no—
1788D4—2361no—
1789D4—2361no—
1790D4—2362no—
1791D4—2362no—
1792D4—2362no—
1793D4—2362no—
1794D4—2362no—
1795D4—2362no—
1796D4—2362no—
1797D4—2362no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—42no—
1807C2×C4—42no—
1808C2×C4—81no—
1809C2×C4—81no—
1810C2×C4—591no—
1811C2×C4—591no—
1812C2×C4—591no—
1813C2×C4—591no—
1814C2×C4—591no—
1815C2×C4—1184no—
1816C2×C4—1181no—
1817C2×C4—1181no—
1818C2×C4—1181no—
1819C2×C4—1181no—
1820C2×C4—1181no—
1821C2×C4—1181no—
1822C2×C4—1181no—
1823C2×C4—1181no—
1824C2×C4—1181no—
1825C2×C4—1181no—
1826C2×C4—1181no—
1827C2×C4—1181no—
1828C2×C4—4721no—
1829C2×C4—4721no—
1830C2×C4—4721no—
1831C2×C4—4721no—
1832C2×C4—4721no—
1833C2×C4—4721no—
1834C2×C4—4721no—
1835C2×C4—4721no—
1836C2×C4—4721no—
1837C2×C4—2361no—
1838C2×C4—2361no—
1839C2×C4—2362no—
1840C2×C4—2362no—
1841C2×C4—2362no—
1842C2×C4—2362no—
1843C2×C4—2361no—
1844C2×C4—2362no—
1845C2×C4C2×D4×D5911yescharacteristic
1846C2×C4C2×D4×D5911yescharacteristic
1847C2×C4C2×D4×D5911yescharacteristic
1848C2×C4C2×D4×D5911yescharacteristic
1849C2×C4C24×D5911yescharacteristic
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—21no—
1854C8—1181no—
1855C8—1181no—
1856C8—1181no—
1857C8—1181no—
1858C22—21no—
1859C22—21no—
1860C22—21no—
1861C22—21no—
1862C22—21no—
1863C22—21no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—162no—
1877C22—592no—
1878C22—1181no—
1879C22—1181no—
1880C22—1182no—
1881C22—1181no—
1882C22—1181no—
1883C22—1181no—
1884C22—1181no—
1885C22—1181no—
1886C22—1181no—
1887C22—9442no—
1888C22—9442no—
1889C22—9442no—
1890C22—4722no—
1891C22—4724no—
1892C22—2361no—
1893C22—2361no—
1894C22—2361no—
1895C22—2361no—
1896C22—2361no—
1897C22C22×D4×D5911yescharacteristic
1898C4—21no—
1899C4—21no—
1900C4—22no—
1901C4—21no—
1902C4—21no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—1181no—
1907C4—1181no—
1908C4—1181no—
1909C4—1181no—
1910C4—1181no—
1911C4—2361no—
1912C4—2361no—
1913C4—2361no—
1914C4—2361no—
1915C4—2361no—
1916C4—2361no—
1917C4H(5,𝔽2)×D5911yescharacteristic
1918C4C2×#1427377211yescharacteristic
1919C2—41no—
1920C2—41no—
1921C2—81no—
1922C2—81no—
1923C2—81no—
1924C2—81no—
1925C2—1182no—
1926C2—4721no—
1927C2—2361no—
1928C2—2361no—
1929C2—2362no—
1930C2#2143772411yescharacteristic
1931C2#576×D5911yescharacteristic
1932C2#2143888011yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3268C2
socleC22×C59C23×D4
hypercenter#3268D59
hypocenterC59#61624
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #21438316C2semidirect
2. #21437764C2semidirect
3. #21436434C2semidirect
4. #21436427C2semidirect
5. #21436179C2semidirect
6. #21436172C2semidirect
7. #21436092C2semidirect
8. #21436080C2semidirect
9. #21435912C2semidirect
10. #21435904C2semidirect
11. #21435832C2semidirect
12. #21435831C2semidirect
13. #21435707C2semidirect
14. #21435703C2semidirect
15. #21435630C2semidirect
16. #21435594C2semidirect
17. #21435590C2semidirect
18. #21435187C2semidirect
19. #21435185C2semidirect
20. #21434995C2semidirect
21. #21434992C2semidirect
22. #21434897C2semidirect
23. #21434845C2semidirect
24. #21434357C2semidirect
25. #21434356C2semidirect
26. #21433398C2semidirect
27. #21433396C2semidirect
28. #21433344C2semidirect
29. #452×D59C2semidirect
30. #21433143C2semidirect
31. C59×#3268C2semidirect
32. C2×#14273773C22semidirect
34. C2×#14273753C22semidirect
35. C2×#14273752C22semidirect
36. C2×#14273751C22semidirect
37. C2×#14273748C22semidirect
38. C2×Q16×D59C22semidirect
39. C2×SD16×D59C22semidirect
42. #16838110C22semidirect
43. #16838109C22semidirect
45. #16838064C22semidirect
46. #16838060C22semidirect
47. #16838059C22semidirect
48. #16838059C22semidirect
49. #16838057C22semidirect
50. #16838052C22semidirect
55. #16838046C22semidirect
59. #16838037C22semidirect
61. #16838036C22semidirect
63. #16838021C22semidirect
64. #16838017C22semidirect
69. #16837981C22semidirect
70. #16837981C22semidirect
71. #16837980C22semidirect
73. #16837965C22semidirect
76. C22⋊Q8×D59C22semidirect
77. C2×#14273698C22semidirect
80. #16837884C22semidirect
81. #16837790C22semidirect
82. #16837785C22semidirect
83. #16837784C22semidirect
84. #16837762C22semidirect
85. #16837760C22semidirect
86. #16837748C22semidirect
87. #16837747C22semidirect
88. #16837739C22semidirect
89. #16837739C22semidirect
90. #16837738C22semidirect
91. #16837736C22semidirect
92. #16837717C22semidirect
93. #16837716C22semidirect
94. #16837714C22semidirect
95. #16837714C22semidirect
96. #16837714C22semidirect
97. #16837714C22semidirect
98. #16837713C22semidirect
99. #16837713C22semidirect
100. #16837697C22semidirect
101. #16837695C22semidirect
102. #16837683C22semidirect
103. #16837681C22semidirect
104. #16837650C22semidirect
105. #16837648C22semidirect
106. #16837647C22semidirect
107. #16837646C22semidirect
108. #16837646C22semidirect
109. #16837646C22semidirect
110. #16837645C22semidirect
111. #16837643C22semidirect
112. #16837642C22semidirect
113. #16837637C22semidirect
114. #16837637C22semidirect
115. #16837635C22semidirect
116. #16837635C22semidirect
117. #16837635C22semidirect
118. #16837625C22semidirect
119. #16837622C22semidirect
120. #16837622C22semidirect
121. #16837617C22semidirect
122. #16837616C22semidirect
123. #16837615C22semidirect
124. #16837614C22semidirect
125. #16837600C22semidirect
126. #16837599C22semidirect
127. #16837595C22semidirect
128. #16837567C22semidirect
129. #16837566C22semidirect
130. #16837565C22semidirect
131. #16837565C22semidirect
132. #16837564C22semidirect
133. #16837564C22semidirect
134. #16837564C22semidirect
135. #16837563C22semidirect
136. #16837563C22semidirect
137. #16837562C22semidirect
138. #16837561C22semidirect
139. #16837555C22semidirect
140. #16837554C22semidirect
141. #16837551C22semidirect
142. #16837551C22semidirect
145. #16837546C22semidirect
146. #16837544C22semidirect
147. #16837544C22semidirect
148. #16837544C22semidirect
149. #16837542C22semidirect
150. #16837539C22semidirect
151. #16837539C22semidirect
152. #16837539C22semidirect
153. #16837536C22semidirect
154. #16837535C22semidirect
155. #16837534C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837505C22semidirect
161. #16837504C22semidirect
162. #16837503C22semidirect
163. Q16×Dic59C22semidirect
164. C4×#11745672C22semidirect
165. C4×#11745669C22semidirect
166. #16837482C22semidirect
167. #16837480C22semidirect
168. #16837477C22semidirect
169. #16837476C22semidirect
170. #16837475C22semidirect
171. #16837471C22semidirect
172. #16837467C22semidirect
173. C8×C22⋊D59C22semidirect
174. #16837464C22semidirect
175. #16837462C22semidirect
176. #16837404C22semidirect
177. #16837403C22semidirect
178. #16837403C22semidirect
179. #16837402C22semidirect
180. #103×D59C22semidirect
181. C2×#14273649C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #16837368C22semidirect
185. #16837367C22semidirect
186. #16837365C22semidirect
187. C22⋊C8×D59C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C2×#135×C59C22semidirect
191. C59×#546C22semidirect
192. C59×#496C22semidirect
193. C59×#468C22semidirect
194. C59×#466C22semidirect
195. C59×#464C22semidirect
196. C59×#459C22semidirect
197. C59×#452C22semidirect
198. C59×#449C22semidirect
199. C59×#449C22semidirect
200. C59×#447C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
968. #3268D59semidirect
1003. C2×AGL(1,ℤ/8)C2×D59semidirect
1005. C2×#135C2×D59semidirect
1027. #546C2×D59semidirect
1052. #496C2×D59semidirect
1082. #468C2×D59semidirect
1090. #466C2×D59semidirect
1094. #464C2×D59semidirect
1102. #459C2×D59semidirect
1114. #452C2×D59semidirect
1125. #449C2×D59semidirect
1126. #449C2×D59semidirect
1138. #447C2×D59semidirect
1142. #440C2×D59semidirect
1152. #435C2×D59semidirect
1169. C59#61624semidirect

Maximal subgroups

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

subgroupindex
#214383162
#214377642
#214364342
#214364272
#214361792
#214361722
#214360922
#214360802
#214359122
#214359042
#214358322
#214358312
#214357072
#214357032
#214356302
#214355942
#214355902
#214351872
#214351852
#214349952
#214349922
#214348972
#214348452
#214343572
#214343562
#214333982
#214333962
#214333442
#452×D592
#214331432
C59×#32682
#6162459