Finite Group Databasebeta

← #29470928

Subgroups — #29470928

Order 15104.

1918 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437701C211yesmaximal, characteristic, complemented
2#21437647C211yesmaximal, characteristic, complemented
3#21437089C211yesmaximal, characteristic, complemented
4#21436963C211yesmaximal, characteristic, complemented
5#21436751C211yesmaximal, characteristic, complemented
6#21436740C211yesmaximal, characteristic, complemented
7#21436717C211yesmaximal, characteristic, complemented
8#21436662C211yesmaximal, characteristic, complemented
9#21436658C211yesmaximal, characteristic, complemented
10#21436405C211yesmaximal, characteristic, complemented
11#21436331C211yesmaximal, characteristic, complemented
12#21436312C211yesmaximal, characteristic, complemented
13#21436305C211yesmaximal, characteristic, complemented
14#21436301C211yesmaximal, characteristic, complemented
15#21436297C211yesmaximal, characteristic, complemented
16#21435701C211yesmaximal, characteristic, complemented
17#21435690C211yesmaximal, characteristic, complemented
18#21434822C211yesmaximal, characteristic, complemented
19#21434818C211yesmaximal, characteristic, complemented
20#21434809C211yesmaximal, characteristic, complemented
21#21434251C211yesmaximal, characteristic, complemented
22#21434233C211yesmaximal, characteristic, complemented
23#21434229C211yesmaximal, characteristic, complemented
24#21434206C211yesmaximal, characteristic, complemented
25#21434202C211yesmaximal, characteristic, complemented
26#21434182C211yesmaximal, characteristic, complemented
27#21433112C211yesmaximal, characteristic, complemented
28AGL(1,ℤ/8)×Dic59C211yesmaximal, characteristic, complemented
29AGL(1,ℤ/8)×Dic59C211yesmaximal, characteristic, complemented
30C4×#14273751C211yesmaximal, characteristic, complemented
31C59×#3273C211yesmaximal, characteristic, complemented
32C2×#14273751C2211yescharacteristic
33#16838134C2211yescharacteristic, complemented
34#16838121C2211yescharacteristic, complemented
35#16838116C2211yescharacteristic
36#16838111C2211yescharacteristic, complemented
37#16838111C2211yescharacteristic, complemented
38#16838110C2211yescharacteristic, complemented
39#16838099C2211yescharacteristic
40#16838098C2211yescharacteristic
41#16838095—21no—
42#16838095—21no—
43#16838094C2211yescharacteristic, complemented
44#16838092C2211yescharacteristic, complemented
45#16838089—21no—
46#16838083—21no—
47#16838078—21no—
48#16838078—21no—
49#16838075—21no—
50#16838051C2211yescharacteristic
51#16838046C2211yescharacteristic, complemented
52#16838040C2211yescharacteristic
53#16838039—21no—
54D4×C22⋊D59C2211yescharacteristic, complemented
55#16837954C2211yescharacteristic, complemented
56#16837947C2211yescharacteristic
57#16837938C2211yescharacteristic, complemented
58#16837933—21no—
59#16837933C2211yescharacteristic, complemented
60#16837931C2211yescharacteristic, complemented
61#16837931C2211yescharacteristic, complemented
62#16837929—21no—
63#16837929—21no—
64#16837912—21no—
65#16837908—21no—
66#16837908—21no—
67#41×Dic59C2211yescharacteristic
68#41×Dic59C2211yescharacteristic, complemented
69C4×#11745687C2211yescharacteristic
70C4×#11745687C2211yescharacteristic, complemented
71C2×D4×Dic59C2211yescharacteristic, complemented
72C2×D4×Dic59C2211yescharacteristic, complemented
73C2×(C22⋊D59)⋊C4—21no—
74C4×D4×D59C2211yescharacteristic, complemented
75C2×#14273683—21no—
76#16837806C2211yescharacteristic, complemented
77#16837804C2211yescharacteristic, complemented
78#16837803C2211yescharacteristic, complemented
79#16837783C2211yescharacteristic, complemented
80#16837773C2211yescharacteristic, complemented
81#16837758C2211yescharacteristic, complemented
82#16837756C2211yescharacteristic, complemented
83#16837756C2211yescharacteristic, complemented
84#16837755C2211yescharacteristic, complemented
85#16837751C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837744C2211yescharacteristic, complemented
88#16837741C2211yescharacteristic, complemented
89#16837740C2211yescharacteristic, complemented
90#16837740C2211yescharacteristic, complemented
91#16837733C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837721C2211yescharacteristic, complemented
96#16837718C2211yescharacteristic, complemented
97#16837714C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic, complemented
99#16837711C2211yescharacteristic, complemented
100#16837710C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837704C2211yescharacteristic, complemented
103#16837704C2211yescharacteristic, complemented
104#16837703C2211yescharacteristic, complemented
105#16837702C2211yescharacteristic, complemented
106#16837702C2211yescharacteristic, complemented
107#16837695C2211yescharacteristic, complemented
108#16837690C2211yescharacteristic, complemented
109#16837690C2211yescharacteristic, complemented
110#16837690C2211yescharacteristic, complemented
111#16837658C2211yescharacteristic, complemented
112#16837657C2211yescharacteristic, complemented
113#16837653C2211yescharacteristic
114#16837652C2211yescharacteristic
115#16837650C2211yescharacteristic, complemented
116#16837648C2211yescharacteristic, complemented
117#16837648C2211yescharacteristic, complemented
118#16837646C2211yescharacteristic, complemented
119#16837645C2211yescharacteristic, complemented
120#16837645C2211yescharacteristic, complemented
121#16837626C2211yescharacteristic, complemented
122#16837621C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic
125#16837615C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic, complemented
127#16837610C2211yescharacteristic, complemented
128#16837605C2211yescharacteristic, complemented
129#16837595C2211yescharacteristic
130#16837595C2211yescharacteristic
131#16837564C2211yescharacteristic
132#16837561C2211yescharacteristic, complemented
133#16837553C2211yescharacteristic, complemented
134#16837551C2211yescharacteristic, complemented
135#16837547C2211yescharacteristic
136#16837544C2211yescharacteristic
137#16837536C2211yescharacteristic, complemented
138#16837534C2211yescharacteristic
139C8×Dic118C2211yescharacteristic, complemented
140#16837526C2211yescharacteristic, complemented
141#16837514C2211yescharacteristic
142#16837514C2211yescharacteristic
143#16837514C2211yescharacteristic, complemented
144#16837514C2211yescharacteristic, complemented
145#16837511C2211yescharacteristic, complemented
146#16837511C2211yescharacteristic, complemented
147#16837509C2211yescharacteristic, complemented
148#16837506C2211yescharacteristic, complemented
149#16837505C2211yescharacteristic, complemented
150#16837503C2211yescharacteristic, complemented
151#16837503C2211yescharacteristic, complemented
152#16837503C2211yescharacteristic, complemented
153#16837503C2211yescharacteristic, complemented
154#16837501C2211yescharacteristic, complemented
155#16837499C2211yescharacteristic, complemented
156#16837499C2211yescharacteristic, complemented
157C4×#11745660C2211yescharacteristic, complemented
158SD16×Dic59C2211yescharacteristic, complemented
159SD16×Dic59C2211yescharacteristic, complemented
160SD16×Dic59C2211yescharacteristic, complemented
161SD16×Dic59C2211yescharacteristic, complemented
162C4×#11745670C2211yescharacteristic, complemented
163D8×Dic59C2211yescharacteristic
164D8×Dic59C2211yescharacteristic
165D8×Dic59C2211yescharacteristic
166D8×Dic59C2211yescharacteristic, complemented
167C4×#11745669C2211yescharacteristic, complemented
168#16837480C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic, complemented
170#16837478C2211yescharacteristic, complemented
171#16837477C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837458C2211yescharacteristic, complemented
174#16837456C2211yescharacteristic, complemented
175#16837456C2211yescharacteristic, complemented
176#16837444C2211yescharacteristic, complemented
177#16837444C2211yescharacteristic, complemented
178#16837443C2211yescharacteristic, complemented
179#16837407C2211yescharacteristic, complemented
180#16837407C2211yescharacteristic, complemented
181#16837405C2211yescharacteristic, complemented
182#16837403C2211yescharacteristic
183#16837403C2211yescharacteristic, complemented
184#16837400C2211yescharacteristic, complemented
185M16×Dic59C2211yescharacteristic, complemented
186M16×Dic59C2211yescharacteristic, complemented
187C4×#11745659C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
190C59×#546C2211yescharacteristic
191C59×#546C2211yescharacteristic, complemented
192C59×#495C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic
196C59×#463C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic
198C59×#452C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic
200C59×#447C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic
202C59×#436C2211yescharacteristic, complemented
203C2×#11745687—21no—
204C2×#11745687D411yescharacteristic
205C2×#11745687C2311yescharacteristic
206C22×C22⋊D59—21no—
207C2×D4×D59C2311yescharacteristic
208C23×Dic59—21no—
209C23×Dic59—21no—
210C22×C4×D59—21no—
211#14273751—24no—
212C2×#11745672C2311yescharacteristic
213C2×#11745660C2311yescharacteristic
214C2×#11745670C2311yescharacteristic
215C2×#11745670C2311yescharacteristic
216C2×#11745671C2311yescharacteristic
217C2×#11745669C2311yescharacteristic
218C2×#11745669C2311yescharacteristic
219C2×#11745664C2311yescharacteristic
220C2×#11745664C2311yescharacteristic
221C2×#11745659C2311yescharacteristic
222C2×#11745659C2311yescharacteristic
223#14273726C2311yescharacteristic
224#14273726C2311yescharacteristic
225#14273725C2311yescharacteristic
226#14273723C2311yescharacteristic
227#14273722—21no—
228#14273722—21no—
229#14273722—21no—
230#14273720—21no—
231#14273720—21no—
232#14273720—21no—
233#14273720—21no—
234#14273720—21no—
235#14273720—21no—
236#14273720—21no—
237#14273719C2311yescharacteristic
238#14273719C2311yescharacteristic
239#14273718—21no—
240#14273718C2311yescharacteristic
241#14273718C2311yescharacteristic
242#14273717—21no—
243#14273717—21no—
244#14273717—21no—
245#14273716C2311yescharacteristic
246#14273714—21no—
247#14273714C2311yescharacteristic
248#14273713—21no—
249#14273713—21no—
250#14273713—21no—
251#14273711—21no—
252#14273711—21no—
253#14273711—21no—
254#14273710—21no—
255#14273710—21no—
256#14273709—21no—
257#14273709—21no—
258#14273709—21no—
259#14273709—21no—
260#14273708—21no—
261#14273708—21no—
262#14273708—21no—
263#14273708—21no—
264#14273708—21no—
265#14273707—21no—
266#14273706—21no—
267#14273706—21no—
268#14273706C2311yescharacteristic
269#14273706C2311yescharacteristic
270#14273704—21no—
271#14273704—21no—
272#14273704—21no—
273#14273704—21no—
274#14273704—21no—
275#14273704—21no—
276#14273704—21no—
277#14273703C2311yescharacteristic
278#14273703C2311yescharacteristic
279#14273701C2311yescharacteristic
280#14273701C2311yescharacteristic
281#14273699—21no—
282#14273699—21no—
283#14273699—21no—
284#14273699—21no—
285#14273699—21no—
286#14273699—21no—
287#14273699—21no—
288#14273698—21no—
289#14273698C2311yescharacteristic
290#14273698C2311yescharacteristic
291#14273696—21no—
292#14273696—21no—
293#14273695—21no—
294#14273695—21no—
295Q8×Dic59C2311yescharacteristic
296Q8×Dic59C2311yescharacteristic
297Q8×Dic59C2311yescharacteristic
298Q8×Dic59C2311yescharacteristic
299C4×Dic118C2311yescharacteristic
300C4×Dic118C2311yescharacteristic
301#14273692—21no—
302#14273692D411yescharacteristic
303#14273692C2311yescharacteristic
304C4×D236C2311yescharacteristic
305D4×Dic59—21no—
306D4×Dic59—21no—
307D4×Dic59—21no—
308D4×Dic59—21no—
309D4×Dic59—21no—
310D4×Dic59—21no—
311D4×Dic59—21no—
312D4×Dic59—21no—
313D4×Dic59—21no—
314D4×Dic59D411yescharacteristic
315D4×Dic59C2311yescharacteristic
316D4×Dic59C2311yescharacteristic
317D4×Dic59C2311yescharacteristic
318D4×Dic59C2311yescharacteristic
319D4×Dic59C2311yescharacteristic
320D4×Dic59C2311yescharacteristic
321D4×Dic59C2311yescharacteristic
322D4×Dic59C2311yescharacteristic
323D4×Dic59C2311yescharacteristic
324D4×Dic59C2311yescharacteristic
325#14273689C2311yescharacteristic
326C4×C22⋊D59—21no—
327C4×C22⋊D59—21no—
328C4×C22⋊D59C2311yescharacteristic
329C4×C22⋊D59C2311yescharacteristic
330(C22⋊D59)⋊C4—21no—
331(C22⋊D59)⋊C4—21no—
332(C22⋊D59)⋊C4—21no—
333(C22⋊D59)⋊C4—21no—
334(C22⋊D59)⋊C4—21no—
335(C22⋊D59)⋊C4—21no—
336(C22⋊D59)⋊C4—21no—
337(C22⋊D59)⋊C4—21no—
338(C22⋊D59)⋊C4—21no—
339(C22⋊D59)⋊C4—21no—
340(C22⋊D59)⋊C4D411yescharacteristic
341(C22⋊D59)⋊C4D411yescharacteristic
342#14273686—21no—
343#14273686—21no—
344#14273686C2311yescharacteristic
345#14273686C2311yescharacteristic
346#14273685—21no—
347#14273685D411yescharacteristic
348#14273685C2311yescharacteristic
349#14273683—21no—
350#14273683—21no—
351#14273683—21no—
352#14273683—21no—
353#14273683—21no—
354#14273683—21no—
355#14273683—21no—
356#14273683—21no—
357#14273683—21no—
358#14273683D411yescharacteristic
359#14273683D411yescharacteristic
360C2×C4⋊Dic59C2311yescharacteristic
361C2×C4⋊Dic59C2311yescharacteristic
362C2×Dic59⋊C4—21no—
363C2×Dic59⋊C4—21no—
364C2×Dic59⋊C4—21no—
365C4⋊C4×D59C2311yescharacteristic
366C2×C22⋊Dic59—21no—
367C2×C22⋊Dic59—21no—
368C2×C22⋊Dic59—21no—
369C2×(C2×D59)⋊C4—21no—
370C22⋊C4×D59—21no—
371C2×C4×Dic59—21no—
372C2×C4×Dic59—21no—
373C2×C4×Dic59—21no—
374C2×C4×Dic59C2311yescharacteristic
375C2×C4×Dic59C2311yescharacteristic
376C42×D59C2311yescharacteristic
377#14273661C2311yescharacteristic
378#14273661C2311yescharacteristic
379#14273661C2311yescharacteristic
380#14273661C2311yescharacteristic
381#14273660C2311yescharacteristic
382#14273660C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273659C2311yescharacteristic
385#14273659C2311yescharacteristic
386#14273659C2311yescharacteristic
387#14273659C2311yescharacteristic
388#14273659C2311yescharacteristic
389#14273658C2311yescharacteristic
390#14273658C2311yescharacteristic
391#14273658C2311yescharacteristic
392C4⋊(C59⋊C8)C2311yescharacteristic
393Dic59⋊C8C2311yescharacteristic
394Dic59⋊C8C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397#14273652C2311yescharacteristic
398#14273652C2311yescharacteristic
399#14273652C2311yescharacteristic
400#14273651C2311yescharacteristic
401#14273651C2311yescharacteristic
402#14273651C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273650C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273648C2311yescharacteristic
411#14273648C2311yescharacteristic
412#14273648C2311yescharacteristic
413#14273648C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273647C2311yescharacteristic
423C22⋊(C59⋊C8)C2311yescharacteristic
424C22⋊(C59⋊C8)C2311yescharacteristic
425(C2×D59)⋊C8C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427#14273637C2311yescharacteristic
428#14273637C2311yescharacteristic
429#14273637C2311yescharacteristic
430#14273637C2311yescharacteristic
431C4×C59⋊C8C2311yescharacteristic
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C2×#41×C59C2311yescharacteristic
437C2×#41×C59C2311yescharacteristic
438C22×D4×C59C2311yescharacteristic
439C22×D4×C59C2311yescharacteristic
440AGL(1,ℤ/8)×C59—24no—
441AGL(1,ℤ/8)×C59—24no—
442C2×Q16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×D8×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×M16×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453#124×C59C2311yescharacteristic
454#124×C59C2311yescharacteristic
455#123×C59—21no—
456#123×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458C22⋊Q8×C59C2311yescharacteristic
459#121×C59—21no—
460#121×C59—21no—
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463#120×C59—21no—
464#120×C59—21no—
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468C2×C22⋊C4×C59—21no—
469C2×C22⋊C4×C59—21no—
470#107×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C24×C59—21no—
482C24×C59—21no—
483C23×D59—21no—
484#41×C59—22no—
485#41×C59—22no—
486#41×C59—41no—
487#41×C59—41no—
488C2×Q8×C59C2411yescharacteristic
489C2×Q8×C59C2411yescharacteristic
490C2×D4×C59—22no—
491C2×D4×C59—22no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—41no—
499C2×D4×C59—41no—
500C2×D4×C59C2×D411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59C2411yescharacteristic
510C22×C4×C59C2411yescharacteristic
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—44no—
520C2×C22⋊D59C2×D411yescharacteristic
521C2×C22⋊D59C2×D411yescharacteristic
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—44no—
536C22×Dic59—82no—
537C22×Dic59C2×D411yescharacteristic
538C22×Dic59C2×D411yescharacteristic
539C22×Dic59C2×D411yescharacteristic
540C22×Dic59C2×D411yescharacteristic
541#11745687—22no—
542#11745687—41no—
543#11745687—42no—
544#11745687—82no—
545D4×D59—22no—
546D4×D59—41no—
547C2×D236C2411yescharacteristic
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—82no—
552C2×C4×D59C2×D411yescharacteristic
553C2×C4×D59C2×D411yescharacteristic
554C2×C4×D59C2411yescharacteristic
555C2×Dic118—21no—
556C2×Dic118—21no—
557C2×Dic118C2×D411yescharacteristic
558C2×Dic118C2411yescharacteristic
559Q16×C59—41no—
560SD16×C59—22no—
561SD16×C59—22no—
562SD16×C59—22no—
563SD16×C59—22no—
564D8×C59—22no—
565D8×C59—22no—
566D8×C59—41no—
567D8×C59#4114yescomplemented
568M16×C59—22no—
569M16×C59—22no—
570C2×C8×C59C2411yescharacteristic
571C2×C8×C59C2411yescharacteristic
572C2×C8×C59C2411yescharacteristic
573C2×C8×C59C2411yescharacteristic
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59C2×D411yescharacteristic
577C4⋊C4×C59C2411yescharacteristic
578C4⋊C4×C59C2411yescharacteristic
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59C2×D411yescharacteristic
590C22⋊C4×C59C2×D411yescharacteristic
591C42×C59C2411yescharacteristic
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59C2×D411yescharacteristic
611C22⋊Dic59C2×D411yescharacteristic
612#11745672—41no—
613#11745671—41no—
614#11745670—22no—
615#11745670—41no—
616#11745669—22no—
617#11745669—41no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4C2×D411yescharacteristic
628(C2×D59)⋊C4C2×D411yescharacteristic
629C4⋊Dic59—21no—
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59—21no—
633C4⋊Dic59—21no—
634C4⋊Dic59—21no—
635C4⋊Dic59—21no—
636C4⋊Dic59—21no—
637C4⋊Dic59C2×D411yescharacteristic
638C4⋊Dic59C2411yescharacteristic
639C4⋊Dic59C2411yescharacteristic
640C4⋊Dic59C2411yescharacteristic
641C4⋊Dic59C2411yescharacteristic
642C4⋊Dic59C2411yescharacteristic
643C4⋊Dic59C2411yescharacteristic
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4C2×D411yescharacteristic
662Dic59⋊C4C2×D411yescharacteristic
663Dic59⋊C4C2×D411yescharacteristic
664Dic59⋊C4C2×D411yescharacteristic
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2×D411yescharacteristic
679C4×Dic59C2×D411yescharacteristic
680C4×Dic59C2411yescharacteristic
681C4×Dic59C2411yescharacteristic
682C4×Dic59C2411yescharacteristic
683#11745664—41no—
684#11745664—41no—
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689#11745660—22no—
690#11745659—22no—
691#11745659—41no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—21no—
695C23×C59—21no—
696C23×C59—42no—
697C23×C59—42no—
698C23×C59—42no—
699C23×C59—42no—
700C23×C59—81no—
701C23×C59—81no—
702C23×C59C22×D411yescharacteristic
703C23×C59C22×D411yescharacteristic
704C22×D59—21no—
705C22×D59—42no—
706C22×D59—42no—
707C22×D59—81no—
708C22×D59C22×D411yescharacteristic
709Q8×C59—21no—
710Q8×C59—21no—
711Q8×C59—21no—
712Q8×C59—21no—
713D4×C59—21no—
714D4×C59—21no—
715D4×C59—21no—
716D4×C59—21no—
717D4×C59—21no—
718D4×C59—21no—
719D4×C59—41no—
720D4×C59—42no—
721D4×C59—42no—
722D4×C59—42no—
723D4×C59—42no—
724D4×C59—81no—
725D4×C59—81no—
726D4×C59C2×#4112yes—
727D4×C59C2×#4112yes—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—42no—
737C2×C4×C59—42no—
738C2×C4×C59—81no—
739C2×C4×C59—81no—
740C2×C4×C59C22×D411yescharacteristic
741C2×C4×C59C22×D411yescharacteristic
742C2×C4×C59C22×D411yescharacteristic
743C2×C4×C59C22×D411yescharacteristic
744C2×C4×C59C2511yescharacteristic
745C22⋊D59—22no—
746C22⋊D59—41no—
747C22⋊D59—42no—
748C22⋊D59—42no—
749C22⋊D59—42no—
750C22⋊D59—42no—
751C22⋊D59—42no—
752C22⋊D59—81no—
753C22⋊D59—81no—
754C22⋊D59—81no—
755C2×Dic59—22no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—41no—
764C2×Dic59—41no—
765C2×Dic59—41no—
766C2×Dic59—42no—
767C2×Dic59—42no—
768C2×Dic59—42no—
769C2×Dic59—42no—
770C2×Dic59—42no—
771C2×Dic59—42no—
772C2×Dic59—42no—
773C2×Dic59—42no—
774C2×Dic59—42no—
775C2×Dic59—81no—
776C2×Dic59—81no—
777C2×Dic59—81no—
778C2×Dic59—81no—
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786D236—21no—
787D236—21no—
788C4×D59—21no—
789C4×D59—21no—
790C4×D59—41no—
791C4×D59—41no—
792C4×D59—42no—
793C4×D59—81no—
794C4×D59—81no—
795Dic118—22no—
796Dic118—21no—
797Dic118—21no—
798Dic118—81no—
799Dic118—81no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59C2×#4112yes—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8—21no—
808#61464—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—22no—
812C22×C59—22no—
813C22×C59—21no—
814C22×C59—21no—
815C22×C59—21no—
816C22×C59—21no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—84no—
828C22×C59—84no—
829C22×C59C23×D411yescharacteristic
830C2×D59—21no—
831C2×D59—21no—
832C2×D59—21no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—84no—
837C4×C59—21no—
838C4×C59—21no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—41no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59C22×#4111yescharacteristic
846C4×C59#58511yescharacteristic
847Dic59—21no—
848Dic59—21no—
849Dic59—21no—
850Dic59—21no—
851Dic59—21no—
852Dic59—21no—
853Dic59—41no—
854Dic59—41no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860Dic59#57512yes—
861#3481—591no—
862#3475—591no—
863#3394—591no—
864#3380—591no—
865#3361—591no—
866#3360—591no—
867#3357—591no—
868#3351—591no—
869#3351—591no—
870#3331—591no—
871#3325—591no—
872#3323—591no—
873#3323—591no—
874#3322—591no—
875#3322—591no—
876#3273—591no—
877#3273D5911yescharacteristic, complemented
878#3272—591no—
879#3183—591no—
880#3183—591no—
881#3182—591no—
882#3116—591no—
883#3114—591no—
884#3114—591no—
885#3111—591no—
886#3111—591no—
887#3109—591no—
888#2971—591no—
889C4×AGL(1,ℤ/8)—591no—
890C4×AGL(1,ℤ/8)—591no—
891C4×AGL(1,ℤ/8)—591no—
892C2×C59—42no—
893C2×C59—41no—
894C2×C59—41no—
895C2×C59—42no—
896C2×C59—81no—
897C2×C59—81no—
898C2×C59D4×#4111yescharacteristic
899C2×C59C2×#57511yescharacteristic
900C2×C59#358511yescharacteristic
901D59—41no—
902D59—81no—
903C2×AGL(1,ℤ/8)—591no—
904C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
905C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
906#559—591no—
907#556—591no—
908#555—591no—
909#554—591no—
910#554—591no—
911#554—591no—
912#553—591no—
913#553—591no—
914#553—1181no—
915#553—1181no—
916#552—591no—
917#552—591no—
918#552—1181no—
919#551—1181no—
920#551—1181no—
921#551—1181no—
922#551—1181no—
923#547—591no—
924#546—591no—
925#546—591no—
926#546—1181no—
927#546C2×D5911yescharacteristic
928#546C2×D5911yescharacteristic, complemented
929D42—591no—
930#533—591no—
931#532—591no—
932#529—591no—
933#529—591no—
934#529—591no—
935#529—591no—
936#529—1181no—
937#529—1181no—
938#529—1181no—
939#525—1181no—
940#525—1181no—
941#525—1181no—
942C4×#41—591no—
943C4×#41—591no—
944C4×#41—591no—
945C4×#41—591no—
946C2×C4×D4—591no—
947C2×C4×D4—591no—
948C2×C4×D4—591no—
949C2×C4×D4—1181no—
950C2×#117—1181no—
951#500—591no—
952#499—591no—
953#499—591no—
954#495—591no—
955#495C2×D5911yescharacteristic, complemented
956#492—591no—
957#488—591no—
958#488—591no—
959#488—591no—
960#488—591no—
961#487—591no—
962#486—591no—
963#485—591no—
964#485—591no—
965#485—591no—
966#485—591no—
967#483—591no—
968#483—591no—
969#482—591no—
970#482—591no—
971#481—591no—
972#481—591no—
973#480—591no—
974#480—591no—
975#479—591no—
976#479—591no—
977#478—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#478—591no—
983#477—591no—
984#476—591no—
985#476—591no—
986#476—591no—
987#470—591no—
988#470—591no—
989#469—591no—
990#469—591no—
991#468—591no—
992#468—591no—
993#468—591no—
994#468—591no—
995#468—591no—
996#468—591no—
997#468C2×D5911yescharacteristic, complemented
998#468C2×D5911yescharacteristic, complemented
999#464—591no—
1000#464—591no—
1001#463—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463C2×D5911yescharacteristic
1006#463C2×D5911yescharacteristic, complemented
1007#462—591no—
1008#461—591no—
1009#459—591no—
1010#459—591no—
1011#452—591no—
1012#452—591no—
1013#452C2×D5911yescharacteristic
1014#452C2×D5911yescharacteristic, complemented
1015#450—591no—
1016#450—591no—
1017#449—591no—
1018#449—591no—
1019#447—591no—
1020#447—591no—
1021#447C2×D5911yescharacteristic
1022#447C2×D5911yescharacteristic, complemented
1023C8×Q8—591no—
1024C8×Q8—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442—591no—
1030#442—591no—
1031#441—591no—
1032#441—591no—
1033#440—591no—
1034#440—591no—
1035#440—591no—
1036#440—591no—
1037#440—591no—
1038#440—591no—
1039#440—591no—
1040#440—591no—
1041C4×SD16—591no—
1042C4×SD16—591no—
1043C4×SD16—591no—
1044C4×SD16—591no—
1045C4×SD16—591no—
1046C4×SD16—591no—
1047C4×D8—591no—
1048C4×D8—591no—
1049C4×D8—591no—
1050C4×D8—591no—
1051C4×D8—591no—
1052C4×D8C2×D5911yescharacteristic
1053#436—591no—
1054#436—591no—
1055#436—591no—
1056#436—591no—
1057#436—591no—
1058#436C2×D5911yescharacteristic, complemented
1059#432—591no—
1060#432—591no—
1061#432—591no—
1062#428—591no—
1063#428—591no—
1064#428—591no—
1065#418—591no—
1066#418—591no—
1067#418—591no—
1068#417—591no—
1069#417—591no—
1070#417—591no—
1071C4×M16—591no—
1072C4×M16—591no—
1073C4×M16—591no—
1074C59#6146411yescharacteristic, complemented, Sylow
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—1181no—
1078C2×#41C22×D5911yescharacteristic
1079C2×#41C22×D5911yescharacteristic
1080C22×D4—591no—
1081C22×D4—1181no—
1082C22×D4C22×D5911yescharacteristic
1083C22×D4C22×D5911yescharacteristic
1084C23×C4—1181no—
1085C23×C4—1181no—
1086C23×C4—1181no—
1087AGL(1,ℤ/8)—24no—
1088AGL(1,ℤ/8)—24no—
1089AGL(1,ℤ/8)—1184no—
1090C2×Q16—591no—
1091C2×Q16C22×D5911yescharacteristic
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16C22×D5911yescharacteristic
1097C2×SD16C22×D5911yescharacteristic
1098C2×SD16C22×D5911yescharacteristic
1099C2×SD16C22×D5911yescharacteristic
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8C22×D5911yescharacteristic
1103C2×D8C22×D5911yescharacteristic
1104C2×D8C22×D5911yescharacteristic
1105C2×D8C22×D5911yescharacteristic
1106C2×M16—591no—
1107C2×M16—591no—
1108C2×M16—591no—
1109C2×M16—591no—
1110C2×M16C22×D5911yescharacteristic
1111C2×M16C22×D5911yescharacteristic
1112C4⋊Q8—591no—
1113C4⋊Q8—591no—
1114C4⋊Q8—591no—
1115#127—591no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#126—1181no—
1122#126—1181no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#125—591no—
1127#125—591no—
1128#125—591no—
1129#125—591no—
1130#125—1181no—
1131#125—1181no—
1132#125—1181no—
1133#125—1181no—
1134#124—591no—
1135#124—591no—
1136#124—1181no—
1137#124—1181no—
1138#124—1181no—
1139#124—1181no—
1140#124C22×D5911yescharacteristic
1141#124C22×D5911yescharacteristic
1142#123—21no—
1143#123—21no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151#123—1181no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158C22⋊Q8—591no—
1159C22⋊Q8—591no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8—1181no—
1170C22⋊Q8—1181no—
1171C22⋊Q8—1181no—
1172C22⋊Q8C22×D5911yescharacteristic
1173C22⋊Q8C22×D5911yescharacteristic
1174#121—21no—
1175#121—21no—
1176#121—591no—
1177#121—591no—
1178#121—591no—
1179#121—591no—
1180#121—1181no—
1181#121—1181no—
1182#121—1181no—
1183#121—1181no—
1184#121—1181no—
1185#121—1181no—
1186#121—1181no—
1187#121—1181no—
1188#121C22×D5911yescharacteristic
1189#121C22×D5911yescharacteristic
1190#120—21no—
1191#120—21no—
1192#120—1181no—
1193#120—1181no—
1194#120—1181no—
1195#120—1181no—
1196C4×Q8—591no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8—591no—
1200C4×Q8—591no—
1201C4×Q8—591no—
1202C4×Q8—591no—
1203C4×Q8—591no—
1204C4×Q8—1181no—
1205C4×D4—591no—
1206C4×D4—591no—
1207C4×D4—591no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—591no—
1221C4×D4—591no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4—1181no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4C22×D5911yescharacteristic
1244C4×D4C22×D5911yescharacteristic
1245C4×D4C22×D5911yescharacteristic
1246#117—591no—
1247#117—591no—
1248#117—591no—
1249#117—591no—
1250#117—591no—
1251#117—591no—
1252#117—1181no—
1253#117—1181no—
1254#117—1181no—
1255#117—1181no—
1256#117—1181no—
1257#117—1181no—
1258#117—1181no—
1259#117—1181no—
1260#117—1181no—
1261#117—1181no—
1262#117—1181no—
1263#117—1181no—
1264C2×C4⋊C4—591no—
1265C2×C4⋊C4—591no—
1266C2×C4⋊C4—591no—
1267C2×C4⋊C4—1181no—
1268C2×C4⋊C4—1181no—
1269C2×C4⋊C4—1181no—
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—1181no—
1273C2×C22⋊C4—1181no—
1274C2×C22⋊C4—1181no—
1275C2×C22⋊C4—1181no—
1276C2×C22⋊C4—1181no—
1277C2×C42—591no—
1278C2×C42—591no—
1279C2×C42—591no—
1280C2×C42—1181no—
1281C2×C42—1181no—
1282C2×C42—1181no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107—591no—
1289#107—591no—
1290#107C22×D5911yescharacteristic
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106—591no—
1296#106—591no—
1297#106—591no—
1298#106—591no—
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8—591no—
1304C4⋊C8C22×D5911yescharacteristic
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103—591no—
1313#103—591no—
1314#103—591no—
1315#103C22×D5911yescharacteristic
1316#103C22×D5911yescharacteristic
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
1333#102C22×D5911yescharacteristic
1334#102C22×D5911yescharacteristic
1335#102C22×D5911yescharacteristic
1336#102C22×D5911yescharacteristic
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8—591no—
1341C22⋊C8C22×D5911yescharacteristic
1342C22⋊C8C22×D5911yescharacteristic
1343#97—591no—
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347C4×C8—591no—
1348C4×C8—591no—
1349C4×C8—591no—
1350C4×C8—591no—
1351C4×C8—591no—
1352C4×C8C22×D5911yescharacteristic
1353C24—21no—
1354C24—21no—
1355C24—1181no—
1356#41—22no—
1357#41—22no—
1358#41—41no—
1359#41—41no—
1360#41—1182no—
1361#41—4722no—
1362#41—2361no—
1363#41—2362no—
1364C2×Q8—591no—
1365C2×Q8—591no—
1366C2×Q8—1181no—
1367C2×Q8—1181no—
1368C2×Q8C23×D5911yescharacteristic
1369C2×Q8C23×D5911yescharacteristic
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—591no—
1381C2×D4—591no—
1382C2×D4—591no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—1182no—
1387C2×D4—1181no—
1388C2×D4—1181no—
1389C2×D4—1181no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—2361no—
1393C2×D4—2364no—
1394C2×D4D4×D5911yescharacteristic
1395C2×D4C23×D5911yescharacteristic
1396C2×D4C23×D5911yescharacteristic
1397C2×D4C23×D5911yescharacteristic
1398C2×D4C23×D5911yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—591no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—1181no—
1416C22×C4—1181no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—1181no—
1421C22×C4—1181no—
1422C22×C4—1181no—
1423C22×C4—1181no—
1424C22×C4—1181no—
1425C22×C4—1181no—
1426C22×C4—4722no—
1427C22×C4—4722no—
1428C22×C4—2364no—
1429C22×C4C23×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431Q16—41no—
1432Q16—2361no—
1433SD16—22no—
1434SD16—22no—
1435SD16—22no—
1436SD16—22no—
1437SD16—1182no—
1438SD16—1182no—
1439SD16—2361no—
1440SD16—2361no—
1441D8—22no—
1442D8—22no—
1443D8—41no—
1444D8—1182no—
1445D8—2361no—
1446D8#1174568714yescomplemented
1447M16—22no—
1448M16—22no—
1449M16—1182no—
1450M16—2361no—
1451M16—2361no—
1452M16—2361no—
1453C2×C8—591no—
1454C2×C8—591no—
1455C2×C8—591no—
1456C2×C8—591no—
1457C2×C8C23×D5911yescharacteristic
1458C2×C8C23×D5911yescharacteristic
1459C2×C8C23×D5911yescharacteristic
1460C2×C8C23×D5911yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—591no—
1464C4⋊C4—591no—
1465C4⋊C4—591no—
1466C4⋊C4—591no—
1467C4⋊C4—591no—
1468C4⋊C4—591no—
1469C4⋊C4—591no—
1470C4⋊C4—591no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—591no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4—1181no—
1497C4⋊C4—1181no—
1498C4⋊C4—1181no—
1499C4⋊C4D4×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C4⋊C4C23×D5911yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—591no—
1513C22⋊C4—591no—
1514C22⋊C4—591no—
1515C22⋊C4—591no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
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—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4D4×D5911yescharacteristic
1544C22⋊C4D4×D5911yescharacteristic
1545C42—591no—
1546C42—591no—
1547C42—591no—
1548C42—591no—
1549C42—591no—
1550C42—591no—
1551C42—591no—
1552C42—591no—
1553C42—591no—
1554C42—1181no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42—1181no—
1561C42—1181no—
1562C42—1181no—
1563C42C23×D5911yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—42no—
1569C23—42no—
1570C23—42no—
1571C23—42no—
1572C23—81no—
1573C23—81no—
1574C23—591no—
1575C23—1181no—
1576C23—4721no—
1577C23—2362no—
1578C23—2362no—
1579C23C2×D4×D5911yescharacteristic
1580C23C2×D4×D5911yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—1182no—
1586Q8—1181no—
1587Q8—1181no—
1588Q8—4721no—
1589Q8—4721no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—41no—
1597D4—42no—
1598D4—42no—
1599D4—42no—
1600D4—42no—
1601D4—81no—
1602D4—81no—
1603D4—1182no—
1604D4—1181no—
1605D4—1181no—
1606D4—4721no—
1607D4—4721no—
1608D4—4721no—
1609D4—2362no—
1610D4—2361no—
1611D4—2362no—
1612D4—2362no—
1613D4—2362no—
1614D4—2362no—
1615D4C2×#1174568712yes—
1616D4C2×#1174568712yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—42no—
1626C2×C4—42no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—591no—
1630C2×C4—591no—
1631C2×C4—591no—
1632C2×C4—591no—
1633C2×C4—591no—
1634C2×C4—591no—
1635C2×C4—591no—
1636C2×C4—1182no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—4721no—
1647C2×C4—4721no—
1648C2×C4—4721no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—4721no—
1652C2×C4—2361no—
1653C2×C4—2361no—
1654C2×C4—2362no—
1655C2×C4—2362no—
1656C2×C4—2362no—
1657C2×C4—2362no—
1658C2×C4—2361no—
1659C2×C4—2361no—
1660C2×C4—2361no—
1661C2×C4—2362no—
1662C2×C4—2362no—
1663C2×C4—2362no—
1664C2×C4—2362no—
1665C2×C4—2362no—
1666C2×C4—2362no—
1667C2×C4C2×D4×D5911yescharacteristic
1668C2×C4C2×D4×D5911yescharacteristic
1669C2×C4C2×D4×D5911yescharacteristic
1670C2×C4C2×D4×D5911yescharacteristic
1671C2×C4C24×D5911yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—1181no—
1676C8—1181no—
1677C8—1181no—
1678C8—1181no—
1679C8C2×#1174568712yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—22no—
1685C22—22no—
1686C22—21no—
1687C22—21no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—84no—
1699C22—84no—
1700C22—1181no—
1701C22—1181no—
1702C22—1181no—
1703C22—4724no—
1704C22—2361no—
1705C22—2361no—
1706C22—2361no—
1707C22C22×D4×D5911yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—592no—
1717C4—1181no—
1718C4—1181no—
1719C4—1181no—
1720C4—1181no—
1721C4—1181no—
1722C4—1181no—
1723C4—2361no—
1724C4—2361no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4—2361no—
1729C4—2361no—
1730C4C22×#1174568711yescharacteristic
1731C4#1683823711yescharacteristic
1732C2—41no—
1733C2—41no—
1734C2—42no—
1735C2—42no—
1736C2—81no—
1737C2—81no—
1738C2—4721no—
1739C2—2361no—
1740C2D4×#1174568711yescharacteristic
1741C2#575×D5911yescharacteristic
1742C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3273C2
socleC22×C59C23×D4
hypercenter#3273D59
hypocenterC59#61464
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3273

Complements

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

NH ≅ G/Ntype
1. #21437701C2semidirect
2. #21437647C2semidirect
3. #21437089C2semidirect
4. #21436963C2semidirect
5. #21436751C2semidirect
6. #21436740C2semidirect
7. #21436717C2semidirect
8. #21436662C2semidirect
9. #21436658C2semidirect
10. #21436405C2semidirect
11. #21436331C2semidirect
12. #21436312C2semidirect
13. #21436305C2semidirect
14. #21436301C2semidirect
15. #21436297C2semidirect
16. #21435701C2semidirect
17. #21435690C2semidirect
18. #21434822C2semidirect
19. #21434818C2semidirect
20. #21434809C2semidirect
21. #21434251C2semidirect
22. #21434233C2semidirect
23. #21434229C2semidirect
24. #21434206C2semidirect
25. #21434202C2semidirect
26. #21434182C2semidirect
27. #21433112C2semidirect
28. AGL(1,ℤ/8)×Dic59C2semidirect
29. AGL(1,ℤ/8)×Dic59C2semidirect
30. C4×#14273751C2semidirect
31. C59×#3273C2semidirect
33. #16838134C22semidirect
34. #16838121C22semidirect
36. #16838111C22semidirect
37. #16838111C22semidirect
38. #16838110C22semidirect
43. #16838094C22semidirect
44. #16838092C22semidirect
51. #16838046C22semidirect
54. D4×C22⋊D59C22semidirect
55. #16837954C22semidirect
57. #16837938C22semidirect
59. #16837933C22semidirect
60. #16837931C22semidirect
61. #16837931C22semidirect
68. #41×Dic59C22semidirect
70. C4×#11745687C22semidirect
71. C2×D4×Dic59C22semidirect
72. C2×D4×Dic59C22semidirect
74. C4×D4×D59C22semidirect
76. #16837806C22semidirect
77. #16837804C22semidirect
78. #16837803C22semidirect
79. #16837783C22semidirect
80. #16837773C22semidirect
81. #16837758C22semidirect
82. #16837756C22semidirect
83. #16837756C22semidirect
84. #16837755C22semidirect
85. #16837751C22semidirect
86. #16837747C22semidirect
87. #16837744C22semidirect
88. #16837741C22semidirect
89. #16837740C22semidirect
90. #16837740C22semidirect
91. #16837733C22semidirect
92. #16837731C22semidirect
93. #16837727C22semidirect
94. #16837724C22semidirect
95. #16837721C22semidirect
96. #16837718C22semidirect
97. #16837714C22semidirect
98. #16837713C22semidirect
99. #16837711C22semidirect
100. #16837710C22semidirect
101. #16837704C22semidirect
102. #16837704C22semidirect
103. #16837704C22semidirect
104. #16837703C22semidirect
105. #16837702C22semidirect
106. #16837702C22semidirect
107. #16837695C22semidirect
108. #16837690C22semidirect
109. #16837690C22semidirect
110. #16837690C22semidirect
111. #16837658C22semidirect
112. #16837657C22semidirect
115. #16837650C22semidirect
116. #16837648C22semidirect
117. #16837648C22semidirect
118. #16837646C22semidirect
119. #16837645C22semidirect
120. #16837645C22semidirect
121. #16837626C22semidirect
122. #16837621C22semidirect
123. #16837619C22semidirect
125. #16837615C22semidirect
126. #16837614C22semidirect
127. #16837610C22semidirect
128. #16837605C22semidirect
132. #16837561C22semidirect
133. #16837553C22semidirect
134. #16837551C22semidirect
137. #16837536C22semidirect
139. C8×Dic118C22semidirect
140. #16837526C22semidirect
143. #16837514C22semidirect
144. #16837514C22semidirect
145. #16837511C22semidirect
146. #16837511C22semidirect
147. #16837509C22semidirect
148. #16837506C22semidirect
149. #16837505C22semidirect
150. #16837503C22semidirect
151. #16837503C22semidirect
152. #16837503C22semidirect
153. #16837503C22semidirect
154. #16837501C22semidirect
155. #16837499C22semidirect
156. #16837499C22semidirect
157. C4×#11745660C22semidirect
158. SD16×Dic59C22semidirect
159. SD16×Dic59C22semidirect
160. SD16×Dic59C22semidirect
161. SD16×Dic59C22semidirect
162. C4×#11745670C22semidirect
166. D8×Dic59C22semidirect
167. C4×#11745669C22semidirect
168. #16837480C22semidirect
169. #16837478C22semidirect
170. #16837478C22semidirect
171. #16837477C22semidirect
172. #16837477C22semidirect
173. #16837458C22semidirect
174. #16837456C22semidirect
175. #16837456C22semidirect
176. #16837444C22semidirect
177. #16837444C22semidirect
178. #16837443C22semidirect
179. #16837407C22semidirect
180. #16837407C22semidirect
181. #16837405C22semidirect
183. #16837403C22semidirect
184. #16837400C22semidirect
185. M16×Dic59C22semidirect
186. M16×Dic59C22semidirect
187. C4×#11745659C22semidirect
191. C59×#546C22semidirect
192. C59×#495C22semidirect
193. C59×#468C22semidirect
194. C59×#468C22semidirect
196. C59×#463C22semidirect
198. C59×#452C22semidirect
200. C59×#447C22semidirect
202. C59×#436C22semidirect
567. D8×C59#41semidirect
877. #3273D59semidirect
928. #546C2×D59semidirect
955. #495C2×D59semidirect
997. #468C2×D59semidirect
998. #468C2×D59semidirect
1006. #463C2×D59semidirect
1014. #452C2×D59semidirect
1022. #447C2×D59semidirect
1058. #436C2×D59semidirect
1074. C59#61464semidirect
1446. D8#11745687semidirect

Maximal subgroups

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

subgroupindex
#214377012
#214376472
#214370892
#214369632
#214367512
#214367402
#214367172
#214366622
#214366582
#214364052
#214363312
#214363122
#214363052
#214363012
#214362972
#214357012
#214356902
#214348222
#214348182
#214348092
#214342512
#214342332
#214342292
#214342062
#214342022
#214341822
#214331122
AGL(1,ℤ/8)×Dic592
C4×#142737512
C59×#32732
#6146459