Finite Group Databasebeta

← #29465842

Subgroups — #29465842

Order 15104.

2188 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#553×D59C211yesmaximal, characteristic, complemented
2#21437580C211yesmaximal, characteristic, complemented
3#21436351C211yesmaximal, characteristic, complemented
4#21436343C211yesmaximal, characteristic, complemented
5#21436297C211yesmaximal, characteristic, complemented
6#21436270C211yesmaximal, characteristic, complemented
7#21436262C211yesmaximal, characteristic, complemented
8#21436238C211yesmaximal, characteristic, complemented
9#21436230C211yesmaximal, characteristic, complemented
10#21436105C211yesmaximal, characteristic, complemented
11#21436097C211yesmaximal, characteristic, complemented
12#21436073C211yesmaximal, characteristic, complemented
13#21436065C211yesmaximal, characteristic, complemented
14#21436005C211yesmaximal, characteristic, complemented
15#21435997C211yesmaximal, characteristic, complemented
16#21435951C211yesmaximal, characteristic, complemented
17#21435943C211yesmaximal, characteristic, complemented
18#21434493C211yesmaximal, characteristic, complemented
19#21434028C211yesmaximal, characteristic, complemented
20#21434015C211yesmaximal, characteristic, complemented
21#21433913C211yesmaximal, characteristic, complemented
22#21433714C211yesmaximal, characteristic, complemented
23#21433710C211yesmaximal, characteristic, complemented
24#21433558C211yesmaximal, characteristic, complemented
25#21433345C211yesmaximal, characteristic, complemented
26#21433343C211yesmaximal, characteristic, complemented
27C4×#14273751C211yesmaximal, characteristic, complemented
28#21432832C211yesmaximal, characteristic, complemented
29#21432610C211yesmaximal, characteristic, complemented
30#417×D59C211yesmaximal, characteristic, complemented
31C59×#3322C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273751C2211yescharacteristic
36C2×#14273751C2211yescharacteristic, complemented
37C2×M16×D59C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39#16838105C2211yescharacteristic, complemented
40#16838104C2211yescharacteristic, complemented
41#16838103—21no—
42#16838102C2211yescharacteristic, complemented
43#16838101—21no—
44#16838100C2211yescharacteristic, complemented
45#16838099C2211yescharacteristic
46#16838098C2211yescharacteristic, complemented
47#16838097—21no—
48#16838096C2211yescharacteristic
49#16838095—21no—
50#16838070C2211yescharacteristic, complemented
51#16838065C2211yescharacteristic, complemented
52#16838061C2211yescharacteristic, complemented
53#16838060C2211yescharacteristic, complemented
54#16838051C2211yescharacteristic, complemented
55#16838050—21no—
56#16838047C2211yescharacteristic, complemented
57#16838042—21no—
58#16838041—21no—
59D4×C22⋊D59C2211yescharacteristic, complemented
60#16838034—21no—
61#16837951C2211yescharacteristic
62#16837947—21no—
63#126×D59—21no—
64#125×D59C2211yescharacteristic, complemented
65#16837915C2211yescharacteristic
66#16837912C2211yescharacteristic
67#16837910—21no—
68#16837908—21no—
69#123×D59—21no—
70#121×D59—21no—
71#121×D59C2211yescharacteristic, complemented
72#121×D59C2211yescharacteristic, complemented
73C4×#11745687C2211yescharacteristic
74C2×(C22⋊D59)⋊C4—21no—
75C4×D4×D59—21no—
76C4×D4×D59C2211yescharacteristic
77C4×D4×D59C2211yescharacteristic, complemented
78#117×D59C2211yescharacteristic, complemented
79C2×C4⋊C4×D59C2211yescharacteristic, complemented
80#16837769C2211yescharacteristic, complemented
81#16837769C2211yescharacteristic, complemented
82#16837765C2211yescharacteristic, complemented
83#16837765C2211yescharacteristic, complemented
84#16837759C2211yescharacteristic, complemented
85#16837757C2211yescharacteristic, complemented
86#16837756C2211yescharacteristic, complemented
87#16837742C2211yescharacteristic, complemented
88#16837741C2211yescharacteristic, complemented
89#16837740C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837733C2211yescharacteristic, complemented
93#16837732C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837727C2211yescharacteristic, complemented
97#16837726C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic, complemented
100#16837713C2211yescharacteristic, complemented
101#16837712C2211yescharacteristic, complemented
102#16837710C2211yescharacteristic, complemented
103#16837708C2211yescharacteristic, complemented
104#16837706C2211yescharacteristic, complemented
105#16837704C2211yescharacteristic, complemented
106#16837702C2211yescharacteristic, complemented
107#16837700C2211yescharacteristic, complemented
108#16837655C2211yescharacteristic, complemented
109#16837653C2211yescharacteristic, complemented
110#16837653C2211yescharacteristic, complemented
111#16837650C2211yescharacteristic, complemented
112#16837648C2211yescharacteristic, complemented
113#16837646C2211yescharacteristic, complemented
114#16837639C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837637C2211yescharacteristic, complemented
117#16837635C2211yescharacteristic, complemented
118#16837634C2211yescharacteristic, complemented
119#16837632C2211yescharacteristic, complemented
120#16837630C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837617C2211yescharacteristic, complemented
124#16837614C2211yescharacteristic, complemented
125#16837606C2211yescharacteristic, complemented
126#16837605C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic, complemented
129#16837549C2211yescharacteristic, complemented
130#16837548C2211yescharacteristic, complemented
131#16837548C2211yescharacteristic, complemented
132#16837547C2211yescharacteristic, complemented
133#16837545C2211yescharacteristic, complemented
134#16837544C2211yescharacteristic, complemented
135#16837544C2211yescharacteristic, complemented
136#16837543C2211yescharacteristic, complemented
137#16837542C2211yescharacteristic, complemented
138#16837540C2211yescharacteristic, complemented
139#16837539C2211yescharacteristic, complemented
140#16837537C2211yescharacteristic, complemented
141#16837536C2211yescharacteristic, complemented
142#16837534C2211yescharacteristic, complemented
143#16837514C2211yescharacteristic, complemented
144#16837511C2211yescharacteristic, complemented
145#16837501C2211yescharacteristic, complemented
146#16837499C2211yescharacteristic, complemented
147C4×#11745660C2211yescharacteristic, complemented
148C4×#11745670C2211yescharacteristic, complemented
149C4×#11745669C2211yescharacteristic, complemented
150#16837480C2211yescharacteristic, complemented
151#16837476C2211yescharacteristic, complemented
152#16837476C2211yescharacteristic, complemented
153#16837471C2211yescharacteristic, complemented
154#16837471C2211yescharacteristic, complemented
155C8×D236C2211yescharacteristic, complemented
156#16837467C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837443C2211yescharacteristic, complemented
159#16837441C2211yescharacteristic, complemented
160#16837424C2211yescharacteristic, complemented
161#16837412C2211yescharacteristic, complemented
162#16837410C2211yescharacteristic, complemented
163#16837407C2211yescharacteristic, complemented
164#16837405C2211yescharacteristic, complemented
165#16837404C2211yescharacteristic, complemented
166#16837403C2211yescharacteristic, complemented
167#16837402C2211yescharacteristic, complemented
168#16837402C2211yescharacteristic, complemented
169#16837402C2211yescharacteristic, complemented
170#16837401C2211yescharacteristic, complemented
171#16837400C2211yescharacteristic
172#16837400C2211yescharacteristic
173#16837400C2211yescharacteristic
174#16837400C2211yescharacteristic, complemented
175#16837400C2211yescharacteristic, complemented
176#16837400C2211yescharacteristic, complemented
177#16837395C2211yescharacteristic, complemented
178#16837395C2211yescharacteristic, complemented
179#16837395C2211yescharacteristic, complemented
180#16837395C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187C4×#11745659C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic, complemented
190C59×#488C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C4×D8×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687—24no—
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—42no—
211C2×#11745687C2311yescharacteristic
212C2×#11745687C2311yescharacteristic
213C2×#11745687C2311yescharacteristic
214C2×#11745687C2311yescharacteristic
215#41×D59—24no—
216#41×D59—42no—
217C22×Dic118C2311yescharacteristic
218C2×Q8×D59C2311yescharacteristic
219C22×C22⋊D59—21no—
220C22×C22⋊D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59D411yescharacteristic
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C23×Dic59—21no—
228C22×C4×D59—21no—
229C22×C4×D59—21no—
230C22×C4×D59—21no—
231C22×C4×D59C2311yescharacteristic
232C22×C4×D59C2311yescharacteristic
233#14273754—42no—
234#14273751—24no—
235#14273751—42no—
236C2×#11745660C2311yescharacteristic
237C2×#11745660C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745671C2311yescharacteristic
241C2×D472C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745669C2311yescharacteristic
245C2×#11745664C2311yescharacteristic
246C2×#11745664C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic
250C2×#11745659C2311yescharacteristic
251M16×D59—42no—
252M16×D59—42no—
253C2×C8×D59C2311yescharacteristic
254C2×C8×D59C2311yescharacteristic
255C2×C8×D59C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257#14273726—21no—
258#14273725C2311yescharacteristic
259#14273723—21no—
260#14273723C2311yescharacteristic
261#14273722—21no—
262#14273722—21no—
263#14273722—21no—
264#14273721—21no—
265#14273720—21no—
266#14273720—21no—
267#14273720—21no—
268#14273719C2311yescharacteristic
269#14273718C2311yescharacteristic
270#14273718C2311yescharacteristic
271#14273717—21no—
272#14273717—21no—
273#14273715C2311yescharacteristic
274#14273713—21no—
275#14273713—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273711—21no—
280#14273711—21no—
281#14273710—21no—
282#14273710—21no—
283#14273709—21no—
284#14273709—21no—
285#14273709—21no—
286#14273708—21no—
287#14273708—21no—
288#14273707C2311yescharacteristic
289#14273706C2311yescharacteristic
290#14273705—21no—
291#14273705—21no—
292#14273704—21no—
293#14273704—21no—
294#14273703C2311yescharacteristic
295#14273702—21no—
296#14273702C2311yescharacteristic
297#14273702C2311yescharacteristic
298#14273702C2311yescharacteristic
299#14273701—21no—
300#14273701—21no—
301#14273701C2311yescharacteristic
302#14273701C2311yescharacteristic
303#14273701C2311yescharacteristic
304#14273700—21no—
305#14273700—21no—
306#14273700—21no—
307#14273700—21no—
308#14273700—21no—
309#14273700—21no—
310#14273700—21no—
311#14273700—21no—
312#14273699—21no—
313#14273699—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273698—21no—
321#14273698C2311yescharacteristic
322#14273698C2311yescharacteristic
323#14273698C2311yescharacteristic
324#14273697—21no—
325#14273697—21no—
326#14273696—21no—
327#14273695—21no—
328#14273695—21no—
329C4×Dic118C2311yescharacteristic
330#14273692C2311yescharacteristic
331C4×D236—21no—
332C4×D236C2311yescharacteristic
333C4×D236C2311yescharacteristic
334D4×Dic59—21no—
335D4×Dic59—21no—
336D4×Dic59D411yescharacteristic
337D4×Dic59C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339#14273689—21no—
340#14273689—21no—
341#14273689D411yescharacteristic
342#14273689C2311yescharacteristic
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59C2311yescharacteristic
348C4×C22⋊D59C2311yescharacteristic
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4D411yescharacteristic
362(C22⋊D59)⋊C4D411yescharacteristic
363#14273686C2311yescharacteristic
364#14273685C2311yescharacteristic
365#14273685C2311yescharacteristic
366#14273685C2311yescharacteristic
367#14273684—21no—
368#14273683—21no—
369#14273683—21no—
370C2×C4⋊Dic59C2311yescharacteristic
371C2×Dic59⋊C4—21no—
372C2×Dic59⋊C4—21no—
373C4⋊C4×D59—21no—
374C4⋊C4×D59—21no—
375C4⋊C4×D59—21no—
376C4⋊C4×D59—21no—
377C4⋊C4×D59D411yescharacteristic
378C4⋊C4×D59C2311yescharacteristic
379C4⋊C4×D59C2311yescharacteristic
380C4⋊C4×D59C2311yescharacteristic
381C4⋊C4×D59C2311yescharacteristic
382C4⋊C4×D59C2311yescharacteristic
383C2×(C2×D59)⋊C4—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59D411yescharacteristic
389C22⋊C4×D59D411yescharacteristic
390C2×C4×Dic59—21no—
391C42×D59—21no—
392C42×D59C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273659C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273637C2311yescharacteristic
442#14273637C2311yescharacteristic
443C4×C59⋊C8C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C22×D4×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×D8×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451#126×C59—21no—
452#125×C59C2311yescharacteristic
453#124×C59C2311yescharacteristic
454#123×C59—21no—
455#123×C59—21no—
456C22⋊Q8×C59C2311yescharacteristic
457#121×C59—21no—
458#121×C59—21no—
459#121×C59C2311yescharacteristic
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#120×C59—21no—
463C4×D4×C59—21no—
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467#117×C59C2311yescharacteristic
468C2×C4⋊C4×C59C2311yescharacteristic
469C2×C22⋊C4×C59—21no—
470#107×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486C4×C8×C59C2311yescharacteristic
487C24×C59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59C2×D411yescharacteristic
491C23×D59C2×D411yescharacteristic
492#41×C59—22no—
493#41×C59—41no—
494C2×Q8×C59C2411yescharacteristic
495C2×D4×C59—22no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—41no—
502C2×D4×C59C2×D411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59C2411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—44no—
528C2×C22⋊D59—44no—
529C2×C22⋊D59C2×D411yescharacteristic
530C2×C22⋊D59C2×D411yescharacteristic
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—44no—
540C22×Dic59C2×D411yescharacteristic
541C22×Dic59C2×D411yescharacteristic
542#11745689—22no—
543#11745689—22no—
544Q8×D59—22no—
545Q8×D59—41no—
546#11745687—22no—
547#11745687—22no—
548#11745687—22no—
549#11745687—22no—
550#11745687—22no—
551#11745687—41no—
552#11745687—41no—
553#11745687—44no—
554#11745687—44no—
555#11745687—44no—
556#11745687#4114yes—
557D4×D59—22no—
558D4×D59—22no—
559D4×D59—22no—
560D4×D59—41no—
561D4×D59—42no—
562D4×D59—44no—
563D4×D59—44no—
564D4×D59—82no—
565#11745685—22no—
566#11745685—41no—
567#11745685—44no—
568C2×D236—21no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236C2×D411yescharacteristic
573C2×D236C2411yescharacteristic
574C2×D236C2411yescharacteristic
575C2×C4×D59—22no—
576C2×C4×D59—22no—
577C2×C4×D59—22no—
578C2×C4×D59—22no—
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—44no—
590C2×C4×D59—82no—
591C2×C4×D59—82no—
592C2×C4×D59C2×D411yescharacteristic
593C2×C4×D59C2×D411yescharacteristic
594C2×C4×D59C2×D411yescharacteristic
595C2×C4×D59C2×D411yescharacteristic
596C2×C4×D59C2×D411yescharacteristic
597C2×C4×D59C2×D411yescharacteristic
598C2×C4×D59C2411yescharacteristic
599C2×C4×D59C2411yescharacteristic
600C2×C4×D59C2411yescharacteristic
601C2×Dic118—22no—
602C2×Dic118—21no—
603C2×Dic118—21no—
604C2×Dic118—41no—
605C2×Dic118C2411yescharacteristic
606C2×Dic118C2411yescharacteristic
607SD16×C59—41no—
608D8×C59—22no—
609D8×C59—41no—
610M16×C59—41no—
611M16×C59—41no—
612C2×C8×C59C2411yescharacteristic
613C2×C8×C59C2411yescharacteristic
614C2×C8×C59C2411yescharacteristic
615C2×C8×C59C2411yescharacteristic
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59C2×D411yescharacteristic
621C4⋊C4×C59C2411yescharacteristic
622C4⋊C4×C59C2411yescharacteristic
623C4⋊C4×C59C2411yescharacteristic
624C4⋊C4×C59C2411yescharacteristic
625C22⋊C4×C59—21no—
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59C2×D411yescharacteristic
635C22⋊C4×C59C2×D411yescharacteristic
636C42×C59—21no—
637C42×C59C2411yescharacteristic
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59C2×D411yescharacteristic
646C22⋊Dic59C2×D411yescharacteristic
647#11745671—41no—
648#11745670—22no—
649#11745670—41no—
650#11745669—22no—
651#11745669—41no—
652#11745669—41no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4C2×D411yescharacteristic
669(C2×D59)⋊C4C2×D411yescharacteristic
670(C2×D59)⋊C4C2×D411yescharacteristic
671(C2×D59)⋊C4C2×D411yescharacteristic
672C4⋊Dic59—21no—
673C4⋊Dic59—21no—
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59C2×D411yescharacteristic
677C4⋊Dic59C2411yescharacteristic
678C4⋊Dic59C2411yescharacteristic
679C4⋊Dic59C2411yescharacteristic
680C4⋊Dic59C2411yescharacteristic
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4C2×D411yescharacteristic
697Dic59⋊C4C2×D411yescharacteristic
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59—21no—
704C4×Dic59C2×D411yescharacteristic
705C4×Dic59C2×D411yescharacteristic
706C4×Dic59C2411yescharacteristic
707#11745664—41no—
708#11745664—41no—
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712C2×C59⋊C8C2411yescharacteristic
713D472—41no—
714#11745660—22no—
715#11745660—41no—
716#11745659—22no—
717#11745659—22no—
718#11745659—22no—
719#11745659—22no—
720C8×D59—41no—
721C8×D59—41no—
722C8×D59—41no—
723C8×D59—41no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59—21no—
727C23×C59—42no—
728C23×C59—42no—
729C23×C59—81no—
730C23×C59C22×D411yescharacteristic
731C23×C59C22×D411yescharacteristic
732C22×D59—22no—
733C22×D59—22no—
734C22×D59—22no—
735C22×D59—21no—
736C22×D59—21no—
737C22×D59—41no—
738C22×D59—41no—
739C22×D59—41no—
740C22×D59—42no—
741C22×D59—42no—
742C22×D59—42no—
743C22×D59—42no—
744C22×D59—42no—
745C22×D59—81no—
746C22×D59C22×D411yescharacteristic
747C22×D59C22×D411yescharacteristic
748C22×D59C22×D411yescharacteristic
749Q8×C59—21no—
750Q8×C59—21no—
751D4×C59—21no—
752D4×C59—21no—
753D4×C59—21no—
754D4×C59—21no—
755D4×C59—21no—
756D4×C59—41no—
757D4×C59—42no—
758D4×C59—42no—
759D4×C59—42no—
760D4×C59—81no—
761D4×C59—81no—
762D4×C59C2×#4112yes—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—42no—
773C2×C4×C59—81no—
774C2×C4×C59—81no—
775C2×C4×C59—81no—
776C2×C4×C59C22×D411yescharacteristic
777C2×C4×C59C22×D411yescharacteristic
778C2×C4×C59C22×D411yescharacteristic
779C2×C4×C59C22×D411yescharacteristic
780C2×C4×C59C2511yescharacteristic
781C22⋊D59—24no—
782C22⋊D59—22no—
783C22⋊D59—41no—
784C22⋊D59—42no—
785C22⋊D59—42no—
786C22⋊D59—42no—
787C22⋊D59—42no—
788C22⋊D59—42no—
789C22⋊D59—42no—
790C22⋊D59—42no—
791C22⋊D59—42no—
792C22⋊D59—42no—
793C22⋊D59—42no—
794C22⋊D59—42no—
795C22⋊D59—81no—
796C22⋊D59—81no—
797C22⋊D59—81no—
798C2×Dic59—21no—
799C2×Dic59—22no—
800C2×Dic59—22no—
801C2×Dic59—24no—
802C2×Dic59—21no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—42no—
808C2×Dic59—42no—
809C2×Dic59—42no—
810C2×Dic59—42no—
811C2×Dic59—42no—
812C2×Dic59—81no—
813C2×Dic59—81no—
814C2×Dic59C22×D411yescharacteristic
815C2×Dic59C22×D411yescharacteristic
816C2×Dic59C22×D411yescharacteristic
817C2×Dic59C22×D411yescharacteristic
818C2×Dic59C22×D411yescharacteristic
819D236—22no—
820D236—21no—
821D236—21no—
822D236—21no—
823D236—21no—
824D236—42no—
825D236—42no—
826D236—81no—
827D236—81no—
828C4×D59—22no—
829C4×D59—22no—
830C4×D59—21no—
831C4×D59—21no—
832C4×D59—21no—
833C4×D59—21no—
834C4×D59—22no—
835C4×D59—22no—
836C4×D59—41no—
837C4×D59—41no—
838C4×D59—42no—
839C4×D59—42no—
840C4×D59—42no—
841C4×D59—42no—
842C4×D59—42no—
843C4×D59—42no—
844C4×D59—81no—
845C4×D59—81no—
846C4×D59—81no—
847C4×D59—81no—
848C4×D59C2×#4112yes—
849C4×D59H(5,𝔽2)12yes—
850Dic118—21no—
851Dic118—21no—
852Dic118—21no—
853Dic118—42no—
854Dic118—42no—
855Dic118C2×#4112yes—
856C8×C59—21no—
857C8×C59—21no—
858C8×C59—21no—
859C8×C59—21no—
860C59⋊C8—21no—
861C59⋊C8—21no—
862C59⋊C8—21no—
863C59⋊C8—21no—
864#61164—591nomaximal, Sylow
865C22×C59—21no—
866C22×C59—21no—
867C22×C59—21no—
868C22×C59—22no—
869C22×C59—21no—
870C22×C59—21no—
871C22×C59—21no—
872C22×C59—41no—
873C22×C59—41no—
874C22×C59—41no—
875C22×C59—41no—
876C22×C59—41no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—84no—
881C22×C59C23×D411yescharacteristic
882C2×D59—21no—
883C2×D59—21no—
884C2×D59—21no—
885C2×D59—21no—
886C2×D59—21no—
887C2×D59—21no—
888C2×D59—21no—
889C2×D59—44no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—82no—
897C2×D59—84no—
898C2×D59—84no—
899C2×D59#54612yes—
900C2×D59#57512yes—
901C4×C59—21no—
902C4×C59—21no—
903C4×C59—21no—
904C4×C59—21no—
905C4×C59—41no—
906C4×C59—41no—
907C4×C59—41no—
908C4×C59—41no—
909C4×C59—41no—
910C4×C59C22×#4111yescharacteristic
911C4×C59C2×H(5,𝔽2)11yescharacteristic
912Dic59—21no—
913Dic59—22no—
914Dic59—21no—
915Dic59—21no—
916Dic59—21no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921Dic59—41no—
922Dic59#54612yes—
923C2×#553—591no—
924D4×#41—591no—
925#3326—591no—
926#3326—591no—
927#3322—591no—
928#3322D5911yescharacteristic, complemented
929#3320—591no—
930#3320—591no—
931#3318—591no—
932#3318—591no—
933#3309—591no—
934#3309—591no—
935#3307—591no—
936#3307—591no—
937#3301—591no—
938#3301—591no—
939#3297—591no—
940#3297—591no—
941#3142—591no—
942#3093—591no—
943#3092—591no—
944#3080—591no—
945#3055—591no—
946#3055—591no—
947#3036—591no—
948#3006—591no—
949#3006—591no—
950C4×AGL(1,ℤ/8)—591no—
951D4×M16—591no—
952#2896—591no—
953C2×#417—591no—
954C2×C59—41no—
955C2×C59—41no—
956C2×C59—42no—
957C2×C59—81no—
958C2×C59—81no—
959C2×C59C2×#54611yescharacteristic
960C2×C59C2×#57511yescharacteristic
961C2×C59#358511yescharacteristic
962D59—22no—
963D59—22no—
964D59—41no—
965D59—81no—
966D59—81no—
967C22×#41—591no—
968C22×#41—591no—
969C2×AGL(1,ℤ/8)—591no—
970C2×AGL(1,ℤ/8)—591no—
971C2×AGL(1,ℤ/8)—591no—
972C22×M16—591no—
973C22×M16—591no—
974#553—591no—
975#553—591no—
976#553—591no—
977#553—591no—
978#553—591no—
979#553—591no—
980#553—591no—
981#553—1181no—
982#553—1181no—
983#553—1181no—
984#553—1181no—
985#553C2×D5911yescharacteristic, complemented
986#550—591no—
987D4×Q8—591no—
988#548—591no—
989#548—591no—
990#547—591no—
991#547—1181no—
992#546—591no—
993#546—1181no—
994#546—1181no—
995#546C2×D5911yescharacteristic, complemented
996D42—591no—
997D42—1181no—
998#532—591no—
999#532—1181no—
1000C2×#126—1181no—
1001C2×#125—591no—
1002#525—591no—
1003#525—591no—
1004#525—1181no—
1005#525—1181no—
1006C2×#123—1181no—
1007C2×#121—591no—
1008C2×#121—591no—
1009C2×#121—1181no—
1010C4×#41—591no—
1011C2×C4×D4—591no—
1012C2×C4×D4—591no—
1013C2×C4×D4—1181no—
1014C2×C4×D4—1181no—
1015C2×#117—591no—
1016C22×C4⋊C4—591no—
1017#491—591no—
1018#491—591no—
1019#490—591no—
1020#490—591no—
1021#488—591no—
1022#488—591no—
1023#488—591no—
1024#488C2×D5911yescharacteristic, complemented
1025#485—591no—
1026#485—591no—
1027#485—591no—
1028#485C2×D5911yescharacteristic, complemented
1029#484—591no—
1030#484—591no—
1031#483—591no—
1032#483—591no—
1033#482—591no—
1034#482—591no—
1035#482—591no—
1036#482—591no—
1037#481—591no—
1038#481—591no—
1039#480—591no—
1040#480C2×D5911yescharacteristic, complemented
1041#479—591no—
1042#479—591no—
1043#479—591no—
1044#479—591no—
1045#478—591no—
1046#478—591no—
1047#478—591no—
1048#478C2×D5911yescharacteristic, complemented
1049#469—591no—
1050#469—591no—
1051#469—591no—
1052#469C2×D5911yescharacteristic, complemented
1053#468—591no—
1054#468—591no—
1055#468—591no—
1056#468C2×D5911yescharacteristic, complemented
1057#466—591no—
1058#466—591no—
1059#466—591no—
1060#466—591no—
1061#465—591no—
1062#465—591no—
1063#465—591no—
1064#465—591no—
1065#463—591no—
1066#463—591no—
1067#463—591no—
1068#463C2×D5911yescharacteristic, complemented
1069#461—591no—
1070#461—591no—
1071#459—591no—
1072#459—591no—
1073#449—591no—
1074#449—591no—
1075#449—591no—
1076#449—591no—
1077#449—591no—
1078#449—591no—
1079#449—591no—
1080#449C2×D5911yescharacteristic, complemented
1081#448—591no—
1082#448—591no—
1083#448—591no—
1084#448—591no—
1085#447—591no—
1086#447—591no—
1087#447—591no—
1088#447C2×D5911yescharacteristic, complemented
1089#442—591no—
1090#442—591no—
1091#440—591no—
1092#440—591no—
1093C4×SD16—591no—
1094C4×SD16—591no—
1095C4×D8—591no—
1096C4×D8C2×D5911yescharacteristic, complemented
1097#436—591no—
1098#436C2×D5911yescharacteristic, complemented
1099#435—591no—
1100#435—591no—
1101#435—591no—
1102#435—591no—
1103C8×D4—591no—
1104C8×D4—591no—
1105#428—591no—
1106#428—591no—
1107#428—591no—
1108#423—591no—
1109#419—591no—
1110#419—591no—
1111#418—591no—
1112#418—591no—
1113#418C2×D5911yescharacteristic, complemented
1114#417—591no—
1115#417—591no—
1116#417—591no—
1117#417—591no—
1118#417—591no—
1119#417—591no—
1120#417—591no—
1121#417—591no—
1122#417—591no—
1123#417—591no—
1124#417—591no—
1125#417—591no—
1126#417C2×D5911yescharacteristic, complemented
1127#416—591no—
1128#416—591no—
1129#416—591no—
1130#416—591no—
1131C2×#103—591no—
1132C2×#103—591no—
1133C2×#102—591no—
1134C2×#102—591no—
1135#407—591no—
1136#407—591no—
1137C4×M16—591no—
1138C59#6116411yescharacteristic, complemented, Sylow
1139C2×#41—591no—
1140C2×#41—591no—
1141C2×#41—591no—
1142C2×#41—591no—
1143C2×#41—591no—
1144C2×#41—591no—
1145C2×#41—1181no—
1146C2×#41—1181no—
1147C2×#41—1181no—
1148C2×#41—1181no—
1149C2×#41—1184no—
1150C2×#41—1184no—
1151C2×#41—2362no—
1152C2×#41—2362no—
1153C2×#41C22×D5911yescharacteristic
1154C22×Q8—591no—
1155C22×Q8—591no—
1156C22×D4—591no—
1157C22×D4—591no—
1158C22×D4—591no—
1159C22×D4—1181no—
1160C22×D4—1181no—
1161C22×D4—1181no—
1162C22×D4—1181no—
1163C22×D4—1181no—
1164C22×D4C22×D5911yescharacteristic
1165C23×C4—591no—
1166C23×C4—591no—
1167C23×C4—1181no—
1168C23×C4—1181no—
1169C23×C4—1181no—
1170C23×C4—1181no—
1171AGL(1,ℤ/8)—1184no—
1172AGL(1,ℤ/8)—2362no—
1173AGL(1,ℤ/8)—2362no—
1174C2×SD16—591no—
1175C2×SD16—591no—
1176C2×SD16—591no—
1177C2×SD16—591no—
1178C2×SD16—591no—
1179C2×SD16C22×D5911yescharacteristic
1180C2×D8—591no—
1181C2×D8—591no—
1182C2×D8—591no—
1183C2×D8—591no—
1184C2×D8C22×D5911yescharacteristic
1185C2×D8C22×D5911yescharacteristic
1186C2×M16—591no—
1187C2×M16—591no—
1188C2×M16—591no—
1189C2×M16—591no—
1190C2×M16—591no—
1191C2×M16—591no—
1192C2×M16—2362no—
1193C2×M16—2362no—
1194C2×M16C22×D5911yescharacteristic
1195C2×M16C22×D5911yescharacteristic
1196C22×C8—591no—
1197C22×C8—591no—
1198C22×C8—591no—
1199C22×C8—591no—
1200C4⋊Q8—591no—
1201C4⋊Q8—1181no—
1202#127—591no—
1203#127—1181no—
1204#126—21no—
1205#126—1181no—
1206#126—1181no—
1207#126—1181no—
1208#126—1181no—
1209#126—1181no—
1210#126—1181no—
1211#126—1181no—
1212#125—591no—
1213#125—591no—
1214#125—591no—
1215#125—1181no—
1216#125—1181no—
1217#125C22×D5911yescharacteristic
1218#124—591no—
1219#124—1181no—
1220#124—1181no—
1221#124C22×D5911yescharacteristic
1222#123—21no—
1223#123—21no—
1224#123—1181no—
1225#123—1181no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229#123—1181no—
1230#123—1181no—
1231#123—1181no—
1232#123—1181no—
1233#123—1181no—
1234#123—1181no—
1235#123—1181no—
1236C22⋊Q8—591no—
1237C22⋊Q8—591no—
1238C22⋊Q8—591no—
1239C22⋊Q8—1181no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8—1181no—
1243C22⋊Q8C22×D5911yescharacteristic
1244#121—21no—
1245#121—21no—
1246#121—591no—
1247#121—591no—
1248#121—591no—
1249#121—591no—
1250#121—591no—
1251#121—591no—
1252#121—591no—
1253#121—591no—
1254#121—591no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121—1181no—
1272#121—1181no—
1273#121—1181no—
1274#121—1181no—
1275#121C22×D5911yescharacteristic
1276#121C22×D5911yescharacteristic
1277#121C22×D5911yescharacteristic
1278#120—21no—
1279#120—1181no—
1280#120—1181no—
1281#120—1181no—
1282#120—1181no—
1283#120—1181no—
1284C4×Q8—591no—
1285C4×Q8—591no—
1286C4×D4—21no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4—1181no—
1313C4×D4—1181no—
1314C4×D4—1181no—
1315C4×D4—1181no—
1316C4×D4—1181no—
1317C4×D4—1181no—
1318C4×D4—1181no—
1319C4×D4C22×D5911yescharacteristic
1320C4×D4C22×D5911yescharacteristic
1321C4×D4C22×D5911yescharacteristic
1322#117—591no—
1323#117—591no—
1324#117—591no—
1325#117—591no—
1326#117—1181no—
1327#117—1181no—
1328#117—1181no—
1329#117C22×D5911yescharacteristic
1330C2×C4⋊C4—591no—
1331C2×C4⋊C4—591no—
1332C2×C4⋊C4—591no—
1333C2×C4⋊C4—591no—
1334C2×C4⋊C4—591no—
1335C2×C4⋊C4—591no—
1336C2×C4⋊C4—591no—
1337C2×C4⋊C4—1181no—
1338C2×C4⋊C4—1181no—
1339C2×C4⋊C4—1181no—
1340C2×C4⋊C4—1181no—
1341C2×C4⋊C4—1181no—
1342C2×C4⋊C4—1181no—
1343C2×C4⋊C4C22×D5911yescharacteristic
1344C2×C22⋊C4—21no—
1345C2×C22⋊C4—591no—
1346C2×C22⋊C4—591no—
1347C2×C22⋊C4—1181no—
1348C2×C22⋊C4—1181no—
1349C2×C22⋊C4—1181no—
1350C2×C22⋊C4—1181no—
1351C2×C22⋊C4—1181no—
1352C2×C42—591no—
1353C2×C42—1181no—
1354C2×C42—1181no—
1355#107—591no—
1356#107—591no—
1357#107—591no—
1358#107—591no—
1359#107C22×D5911yescharacteristic
1360#107C22×D5911yescharacteristic
1361#106—591no—
1362#106—591no—
1363#106—591no—
1364#106—591no—
1365#106—591no—
1366#106C22×D5911yescharacteristic
1367C4⋊C8—591no—
1368C4⋊C8—591no—
1369C4⋊C8—591no—
1370C4⋊C8C22×D5911yescharacteristic
1371#103—591no—
1372#103—591no—
1373#103—591no—
1374#103—591no—
1375#103—591no—
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103—591no—
1380#103—591no—
1381#103—591no—
1382#103—591no—
1383#103—591no—
1384#103—591no—
1385#103—591no—
1386#103C22×D5911yescharacteristic
1387#103C22×D5911yescharacteristic
1388#103C22×D5911yescharacteristic
1389#102—591no—
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102C22×D5911yescharacteristic
1405#102C22×D5911yescharacteristic
1406#102C22×D5911yescharacteristic
1407#102C22×D5911yescharacteristic
1408#102C22×D5911yescharacteristic
1409#102C22×D5911yescharacteristic
1410#102C22×D5911yescharacteristic
1411C22⋊C8—591no—
1412C22⋊C8—591no—
1413C22⋊C8—591no—
1414C22⋊C8—591no—
1415C22⋊C8—591no—
1416C22⋊C8—591no—
1417C22⋊C8C22×D5911yescharacteristic
1418C22⋊C8C22×D5911yescharacteristic
1419#97—591no—
1420#97—591no—
1421C4×C8—591no—
1422C4×C8C22×D5911yescharacteristic
1423C24—21no—
1424C24—591no—
1425C24—591no—
1426C24—1181no—
1427C24—1181no—
1428#41—22no—
1429#41—41no—
1430#41—594no—
1431#41—1182no—
1432#41—1182no—
1433#41—1182no—
1434#41—1182no—
1435#41—1182no—
1436#41—1182no—
1437#41—1182no—
1438#41—1182no—
1439#41—2361no—
1440#41—2364no—
1441#41—2364no—
1442#41—2364no—
1443#41—2361no—
1444#41—2361no—
1445#41—2364no—
1446C2×Q8—591no—
1447C2×Q8—591no—
1448C2×Q8—1181no—
1449C2×Q8—1182no—
1450C2×Q8—1181no—
1451C2×Q8—1182no—
1452C2×Q8—2361no—
1453C2×Q8—2361no—
1454C2×Q8C23×D5911yescharacteristic
1455C2×D4—22no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—41no—
1462C2×D4—591no—
1463C2×D4—591no—
1464C2×D4—591no—
1465C2×D4—591no—
1466C2×D4—591no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1181no—
1470C2×D4—1181no—
1471C2×D4—1182no—
1472C2×D4—1182no—
1473C2×D4—1181no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—1181no—
1478C2×D4—1182no—
1479C2×D4—1181no—
1480C2×D4—1181no—
1481C2×D4—1181no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—4722no—
1490C2×D4—2361no—
1491C2×D4—2362no—
1492C2×D4—2364no—
1493C2×D4—2364no—
1494C2×D4—2364no—
1495C2×D4—2364no—
1496C2×D4D4×D5911yescharacteristic
1497C2×D4C23×D5911yescharacteristic
1498C2×D4C23×D5911yescharacteristic
1499C2×D4C23×D5911yescharacteristic
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—591no—
1505C22×C4—591no—
1506C22×C4—591no—
1507C22×C4—591no—
1508C22×C4—591no—
1509C22×C4—591no—
1510C22×C4—591no—
1511C22×C4—591no—
1512C22×C4—591no—
1513C22×C4—591no—
1514C22×C4—591no—
1515C22×C4—1182no—
1516C22×C4—1182no—
1517C22×C4—1182no—
1518C22×C4—1182no—
1519C22×C4—1181no—
1520C22×C4—1181no—
1521C22×C4—1181no—
1522C22×C4—1181no—
1523C22×C4—1181no—
1524C22×C4—1181no—
1525C22×C4—1181no—
1526C22×C4—1181no—
1527C22×C4—1181no—
1528C22×C4—1181no—
1529C22×C4—1181no—
1530C22×C4—1181no—
1531C22×C4—1181no—
1532C22×C4—1181no—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—4722no—
1538C22×C4—4722no—
1539C22×C4—2364no—
1540C22×C4—2364no—
1541C22×C4C23×D5911yescharacteristic
1542C22×C4C23×D5911yescharacteristic
1543SD16—41no—
1544SD16—1182no—
1545SD16—1182no—
1546SD16—2361no—
1547SD16—2361no—
1548SD16—2361no—
1549D8—22no—
1550D8—41no—
1551D8—1182no—
1552D8—2361no—
1553D8—2361no—
1554D8—2361no—
1555M16—41no—
1556M16—41no—
1557M16—1182no—
1558M16—1182no—
1559M16—1182no—
1560M16—1182no—
1561M16—2361no—
1562M16—2361no—
1563C2×C8—591no—
1564C2×C8—591no—
1565C2×C8—591no—
1566C2×C8—591no—
1567C2×C8—2361no—
1568C2×C8—2361no—
1569C2×C8—2361no—
1570C2×C8—2361no—
1571C2×C8C23×D5911yescharacteristic
1572C2×C8C23×D5911yescharacteristic
1573C2×C8C23×D5911yescharacteristic
1574C2×C8C23×D5911yescharacteristic
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—591no—
1580C4⋊C4—591no—
1581C4⋊C4—591no—
1582C4⋊C4—591no—
1583C4⋊C4—591no—
1584C4⋊C4—591no—
1585C4⋊C4—591no—
1586C4⋊C4—1181no—
1587C4⋊C4—1181no—
1588C4⋊C4—1181no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4—1181no—
1592C4⋊C4—1181no—
1593C4⋊C4—1181no—
1594C4⋊C4—1181no—
1595C4⋊C4—1181no—
1596C4⋊C4—1181no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4D4×D5911yescharacteristic
1606C4⋊C4C23×D5911yescharacteristic
1607C4⋊C4C23×D5911yescharacteristic
1608C4⋊C4C23×D5911yescharacteristic
1609C4⋊C4C23×D5911yescharacteristic
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—591no—
1620C22⋊C4—591no—
1621C22⋊C4—591no—
1622C22⋊C4—591no—
1623C22⋊C4—591no—
1624C22⋊C4—591no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4—1181no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4D4×D5911yescharacteristic
1648C22⋊C4D4×D5911yescharacteristic
1649C42—21no—
1650C42—591no—
1651C42—591no—
1652C42—591no—
1653C42—1181no—
1654C42—1181no—
1655C42—1181no—
1656C42—1181no—
1657C42—1181no—
1658C42—1181no—
1659C42C23×D5911yescharacteristic
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—42no—
1664C23—42no—
1665C23—81no—
1666C23—591no—
1667C23—591no—
1668C23—591no—
1669C23—1182no—
1670C23—1182no—
1671C23—1182no—
1672C23—1181no—
1673C23—1181no—
1674C23—4721no—
1675C23—2361no—
1676C23—2361no—
1677C23—2361no—
1678C23—2362no—
1679C23—2362no—
1680C23—2362no—
1681C23—2362no—
1682C23—2362no—
1683C23C2×D4×D5911yescharacteristic
1684C23C2×D4×D5911yescharacteristic
1685Q8—21no—
1686Q8—21no—
1687Q8—592no—
1688Q8—1181no—
1689Q8—1181no—
1690Q8—1181no—
1691Q8—2362no—
1692Q8—2362no—
1693D4—21no—
1694D4—21no—
1695D4—21no—
1696D4—21no—
1697D4—21no—
1698D4—41no—
1699D4—42no—
1700D4—42no—
1701D4—42no—
1702D4—81no—
1703D4—81no—
1704D4—1182no—
1705D4—1182no—
1706D4—1184no—
1707D4—1181no—
1708D4—1181no—
1709D4—1181no—
1710D4—1181no—
1711D4—4721no—
1712D4—4721no—
1713D4—4721no—
1714D4—4721no—
1715D4—4721no—
1716D4—2362no—
1717D4—2362no—
1718D4—2362no—
1719D4—2361no—
1720D4—2362no—
1721D4—2362no—
1722D4—2362no—
1723D4—2362no—
1724D4—2362no—
1725D4—2362no—
1726D4—2362no—
1727D4—2362no—
1728D4—2362no—
1729D4—2362no—
1730D4#41×D5912yes—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—42no—
1741C2×C4—81no—
1742C2×C4—81no—
1743C2×C4—81no—
1744C2×C4—591no—
1745C2×C4—592no—
1746C2×C4—592no—
1747C2×C4—591no—
1748C2×C4—591no—
1749C2×C4—591no—
1750C2×C4—591no—
1751C2×C4—1182no—
1752C2×C4—1182no—
1753C2×C4—1182no—
1754C2×C4—1182no—
1755C2×C4—1182no—
1756C2×C4—1182no—
1757C2×C4—1184no—
1758C2×C4—1181no—
1759C2×C4—1181no—
1760C2×C4—1181no—
1761C2×C4—1181no—
1762C2×C4—1181no—
1763C2×C4—1181no—
1764C2×C4—1181no—
1765C2×C4—1181no—
1766C2×C4—1181no—
1767C2×C4—1181no—
1768C2×C4—4721no—
1769C2×C4—4721no—
1770C2×C4—4721no—
1771C2×C4—4721no—
1772C2×C4—4721no—
1773C2×C4—4721no—
1774C2×C4—2361no—
1775C2×C4—2361no—
1776C2×C4—2362no—
1777C2×C4—2362no—
1778C2×C4—2362no—
1779C2×C4—2362no—
1780C2×C4—2362no—
1781C2×C4—2362no—
1782C2×C4—2362no—
1783C2×C4—2362no—
1784C2×C4—2362no—
1785C2×C4—2362no—
1786C2×C4—2362no—
1787C2×C4C2×D4×D5911yescharacteristic
1788C2×C4C2×D4×D5911yescharacteristic
1789C2×C4C2×D4×D5911yescharacteristic
1790C2×C4C2×D4×D5911yescharacteristic
1791C2×C4C24×D5911yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—1181no—
1797C8—1181no—
1798C8—1181no—
1799C8—1181no—
1800C22—21no—
1801C22—21no—
1802C22—22no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—84no—
1816C22—592no—
1817C22—592no—
1818C22—1181no—
1819C22—1181no—
1820C22—1181no—
1821C22—1181no—
1822C22—1181no—
1823C22—1181no—
1824C22—1181no—
1825C22—4724no—
1826C22—4722no—
1827C22—4724no—
1828C22—2364no—
1829C22—2361no—
1830C22—2361no—
1831C22—2361no—
1832C22—2361no—
1833C22—2361no—
1834C22—2361no—
1835C22C22×D4×D5911yescharacteristic
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—592no—
1846C4—1181no—
1847C4—1181no—
1848C4—1182no—
1849C4—1181no—
1850C4—1181no—
1851C4—2361no—
1852C4—2361no—
1853C4—2361no—
1854C4—2361no—
1855C4—2361no—
1856C4C2×#41×D5911yescharacteristic
1857C4H(5,𝔽2)×D5911yescharacteristic
1858C2—41no—
1859C2—41no—
1860C2—42no—
1861C2—81no—
1862C2—81no—
1863C2—1182no—
1864C2—1182no—
1865C2—4721no—
1866C2—4721no—
1867C2—2361no—
1868C2#546×D5911yescharacteristic
1869C2#575×D5911yescharacteristic
1870C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3322C2
socleC22×C59C23×D4
hypercenter#3322D59
hypocenterC59#61164
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #553×D59C2semidirect
2. #21437580C2semidirect
3. #21436351C2semidirect
4. #21436343C2semidirect
5. #21436297C2semidirect
6. #21436270C2semidirect
7. #21436262C2semidirect
8. #21436238C2semidirect
9. #21436230C2semidirect
10. #21436105C2semidirect
11. #21436097C2semidirect
12. #21436073C2semidirect
13. #21436065C2semidirect
14. #21436005C2semidirect
15. #21435997C2semidirect
16. #21435951C2semidirect
17. #21435943C2semidirect
18. #21434493C2semidirect
19. #21434028C2semidirect
20. #21434015C2semidirect
21. #21433913C2semidirect
22. #21433714C2semidirect
23. #21433710C2semidirect
24. #21433558C2semidirect
25. #21433345C2semidirect
26. #21433343C2semidirect
27. C4×#14273751C2semidirect
28. #21432832C2semidirect
29. #21432610C2semidirect
30. #417×D59C2semidirect
31. C59×#3322C2semidirect
34. C2×#14273754C22semidirect
36. C2×#14273751C22semidirect
37. C2×M16×D59C22semidirect
38. C2×M16×D59C22semidirect
39. #16838105C22semidirect
40. #16838104C22semidirect
42. #16838102C22semidirect
44. #16838100C22semidirect
46. #16838098C22semidirect
50. #16838070C22semidirect
51. #16838065C22semidirect
52. #16838061C22semidirect
53. #16838060C22semidirect
54. #16838051C22semidirect
56. #16838047C22semidirect
59. D4×C22⋊D59C22semidirect
64. #125×D59C22semidirect
71. #121×D59C22semidirect
72. #121×D59C22semidirect
77. C4×D4×D59C22semidirect
78. #117×D59C22semidirect
79. C2×C4⋊C4×D59C22semidirect
80. #16837769C22semidirect
81. #16837769C22semidirect
82. #16837765C22semidirect
83. #16837765C22semidirect
84. #16837759C22semidirect
85. #16837757C22semidirect
86. #16837756C22semidirect
87. #16837742C22semidirect
88. #16837741C22semidirect
89. #16837740C22semidirect
90. #16837739C22semidirect
91. #16837739C22semidirect
92. #16837733C22semidirect
93. #16837732C22semidirect
94. #16837729C22semidirect
95. #16837728C22semidirect
96. #16837727C22semidirect
97. #16837726C22semidirect
98. #16837719C22semidirect
99. #16837719C22semidirect
100. #16837713C22semidirect
101. #16837712C22semidirect
102. #16837710C22semidirect
103. #16837708C22semidirect
104. #16837706C22semidirect
105. #16837704C22semidirect
106. #16837702C22semidirect
107. #16837700C22semidirect
108. #16837655C22semidirect
109. #16837653C22semidirect
110. #16837653C22semidirect
111. #16837650C22semidirect
112. #16837648C22semidirect
113. #16837646C22semidirect
114. #16837639C22semidirect
115. #16837637C22semidirect
116. #16837637C22semidirect
117. #16837635C22semidirect
118. #16837634C22semidirect
119. #16837632C22semidirect
120. #16837630C22semidirect
121. #16837628C22semidirect
122. #16837618C22semidirect
123. #16837617C22semidirect
124. #16837614C22semidirect
125. #16837606C22semidirect
126. #16837605C22semidirect
127. #16837596C22semidirect
128. #16837595C22semidirect
129. #16837549C22semidirect
130. #16837548C22semidirect
131. #16837548C22semidirect
132. #16837547C22semidirect
133. #16837545C22semidirect
134. #16837544C22semidirect
135. #16837544C22semidirect
136. #16837543C22semidirect
137. #16837542C22semidirect
138. #16837540C22semidirect
139. #16837539C22semidirect
140. #16837537C22semidirect
141. #16837536C22semidirect
142. #16837534C22semidirect
143. #16837514C22semidirect
144. #16837511C22semidirect
145. #16837501C22semidirect
146. #16837499C22semidirect
147. C4×#11745660C22semidirect
148. C4×#11745670C22semidirect
149. C4×#11745669C22semidirect
150. #16837480C22semidirect
151. #16837476C22semidirect
152. #16837476C22semidirect
153. #16837471C22semidirect
154. #16837471C22semidirect
155. C8×D236C22semidirect
156. #16837467C22semidirect
157. #16837443C22semidirect
158. #16837443C22semidirect
159. #16837441C22semidirect
160. #16837424C22semidirect
161. #16837412C22semidirect
162. #16837410C22semidirect
163. #16837407C22semidirect
164. #16837405C22semidirect
165. #16837404C22semidirect
166. #16837403C22semidirect
167. #16837402C22semidirect
168. #16837402C22semidirect
169. #16837402C22semidirect
170. #16837401C22semidirect
174. #16837400C22semidirect
175. #16837400C22semidirect
176. #16837400C22semidirect
177. #16837395C22semidirect
178. #16837395C22semidirect
179. #16837395C22semidirect
180. #16837395C22semidirect
181. #103×D59C22semidirect
182. #103×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837364C22semidirect
186. #16837364C22semidirect
187. C4×#11745659C22semidirect
188. C59×#553C22semidirect
189. C59×#546C22semidirect
190. C59×#488C22semidirect
191. C59×#485C22semidirect
192. C59×#480C22semidirect
193. C59×#478C22semidirect
194. C59×#469C22semidirect
195. C59×#468C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#447C22semidirect
199. C4×D8×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#418C22semidirect
202. C59×#417C22semidirect
928. #3322D59semidirect
985. #553C2×D59semidirect
995. #546C2×D59semidirect
1024. #488C2×D59semidirect
1028. #485C2×D59semidirect
1040. #480C2×D59semidirect
1048. #478C2×D59semidirect
1052. #469C2×D59semidirect
1056. #468C2×D59semidirect
1068. #463C2×D59semidirect
1080. #449C2×D59semidirect
1088. #447C2×D59semidirect
1096. C4×D8C2×D59semidirect
1098. #436C2×D59semidirect
1113. #418C2×D59semidirect
1126. #417C2×D59semidirect
1138. C59#61164semidirect

Maximal subgroups

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

subgroupindex
#553×D592
#214375802
#214363512
#214363432
#214362972
#214362702
#214362622
#214362382
#214362302
#214361052
#214360972
#214360732
#214360652
#214360052
#214359972
#214359512
#214359432
#214344932
#214340282
#214340152
#214339132
#214337142
#214337102
#214335582
#214333452
#214333432
C4×#142737512
#214328322
#214326102
#417×D592
C59×#33222
#6116459