Finite Group Databasebeta

← #29470736

Subgroups — #29470736

Order 15104.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437697C211yesmaximal, characteristic, complemented
2#21437686C211yesmaximal, characteristic, complemented
3#21437181C211yesmaximal, characteristic, complemented
4#21437046C211yesmaximal, characteristic, complemented
5#21436857C211yesmaximal, characteristic, complemented
6#21436846C211yesmaximal, characteristic, complemented
7#21436636C211yesmaximal, characteristic, complemented
8#21436583C211yesmaximal, characteristic, complemented
9#21436501C211yesmaximal, characteristic, complemented
10#21436237C211yesmaximal, characteristic, complemented
11#21436207C211yesmaximal, characteristic, complemented
12#21436125C211yesmaximal, characteristic, complemented
13#21436095C211yesmaximal, characteristic, complemented
14#21436002C211yesmaximal, characteristic, complemented
15#21435950C211yesmaximal, characteristic, complemented
16#21435803C211yesmaximal, characteristic, complemented
17#21435630C211yesmaximal, characteristic, complemented
18#21434818C211yesmaximal, characteristic, complemented
19#21434791C211yesmaximal, characteristic, complemented
20#21434789C211yesmaximal, characteristic, complemented
21#21434262C211yesmaximal, characteristic, complemented
22#21434246C211yesmaximal, characteristic, complemented
23#21434235C211yesmaximal, characteristic, complemented
24#21434202C211yesmaximal, characteristic, complemented
25#21434198C211yesmaximal, characteristic, complemented
26#21434182C211yesmaximal, characteristic, complemented
27#21433106C211yesmaximal, characteristic, complemented
28AGL(1,ℤ/8)×Dic59C211yesmaximal, characteristic, complemented
29#21432891C211yesmaximal, characteristic, complemented
30C2×#16837503C211yesmaximal, characteristic, complemented
31C59×#3265C211yesmaximal, characteristic, complemented
32C2×#14273748C2211yescharacteristic
33#16838138C2211yescharacteristic
34#16838134—21no—
35#16838134C2211yescharacteristic, complemented
36#16838128C2211yescharacteristic, complemented
37#16838123—21no—
38#16838123C2211yescharacteristic, complemented
39#16838109C2211yescharacteristic
40#16838109C2211yescharacteristic
41#16838104—21no—
42#16838104—21no—
43#16838104C2211yescharacteristic
44#16838104C2211yescharacteristic
45#16838104C2211yescharacteristic, complemented
46#16838098—21no—
47#16838098C2211yescharacteristic
48#16838083—21no—
49#16838083—21no—
50#16838071C2211yescharacteristic, complemented
51#16838063C2211yescharacteristic, complemented
52#16838046—21no—
53#16838046C2211yescharacteristic
54#16838046C2211yescharacteristic
55#16837950C2211yescharacteristic
56#16837947—21no—
57#16837947C2211yescharacteristic, complemented
58#16837938—21no—
59#16837938C2211yescharacteristic, complemented
60#16837933—21no—
61#16837933C2211yescharacteristic
62#16837933C2211yescharacteristic
63#16837931—21no—
64#16837931C2211yescharacteristic, complemented
65#16837908—21no—
66#16837908—21no—
67#41×Dic59C2211yescharacteristic, complemented
68C4×#11745689C2211yescharacteristic, complemented
69C4×#11745687—21no—
70C4×#11745687C2211yescharacteristic
71C4×#11745687C2211yescharacteristic
72C2×Q8×Dic59C2211yescharacteristic, complemented
73C2×D4×Dic59—21no—
74C2×D4×Dic59C2211yescharacteristic
75C2×D4×Dic59C2211yescharacteristic
76#16837811C2211yescharacteristic, complemented
77#16837810C2211yescharacteristic, complemented
78#16837803C2211yescharacteristic, complemented
79#16837790C2211yescharacteristic, complemented
80#16837783C2211yescharacteristic, complemented
81#16837766C2211yescharacteristic
82#16837765C2211yescharacteristic, complemented
83#16837761C2211yescharacteristic, complemented
84#16837760C2211yescharacteristic, complemented
85#16837758C2211yescharacteristic, complemented
86#16837755C2211yescharacteristic, complemented
87#16837744C2211yescharacteristic, complemented
88#16837741C2211yescharacteristic, complemented
89#16837738C2211yescharacteristic, complemented
90#16837730C2211yescharacteristic, complemented
91#16837724C2211yescharacteristic, complemented
92#16837724C2211yescharacteristic, complemented
93#16837724C2211yescharacteristic, complemented
94#16837723C2211yescharacteristic
95#16837721C2211yescharacteristic, complemented
96#16837718C2211yescharacteristic
97#16837718C2211yescharacteristic, complemented
98#16837716C2211yescharacteristic, complemented
99#16837711C2211yescharacteristic, complemented
100#16837711C2211yescharacteristic, complemented
101#16837710C2211yescharacteristic, complemented
102#16837707C2211yescharacteristic, complemented
103#16837702C2211yescharacteristic
104#16837700C2211yescharacteristic
105#16837700C2211yescharacteristic, complemented
106#16837700C2211yescharacteristic, complemented
107#16837690C2211yescharacteristic
108#16837690C2211yescharacteristic, complemented
109#16837687C2211yescharacteristic, complemented
110#16837683C2211yescharacteristic, complemented
111#16837658C2211yescharacteristic, complemented
112#16837653C2211yescharacteristic
113#16837648C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic
115#16837635C2211yescharacteristic, complemented
116#16837635C2211yescharacteristic, complemented
117#16837631C2211yescharacteristic, complemented
118#16837629C2211yescharacteristic, complemented
119#16837628C2211yescharacteristic, complemented
120#16837628C2211yescharacteristic, complemented
121#16837622C2211yescharacteristic, complemented
122#16837622C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837621C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic
126#16837619C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic
129#16837595C2211yescharacteristic, complemented
130#16837594C2211yescharacteristic
131#16837564C2211yescharacteristic, complemented
132#16837561C2211yescharacteristic
133#16837558C2211yescharacteristic, complemented
134#16837546C2211yescharacteristic, complemented
135#16837546C2211yescharacteristic, complemented
136#16837544C2211yescharacteristic
137#16837536C2211yescharacteristic
138#16837536C2211yescharacteristic
139#16837531C2211yescharacteristic, complemented
140#16837530C2211yescharacteristic, complemented
141#16837514C2211yescharacteristic
142#16837514C2211yescharacteristic, complemented
143#16837514C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic
145#16837511C2211yescharacteristic
146#16837511C2211yescharacteristic, complemented
147#16837511C2211yescharacteristic, complemented
148#16837507C2211yescharacteristic, complemented
149#16837506C2211yescharacteristic, complemented
150#16837506C2211yescharacteristic, complemented
151#16837504C2211yescharacteristic, complemented
152#16837503C2211yescharacteristic
153#16837503C2211yescharacteristic
154#16837503C2211yescharacteristic
155#16837503C2211yescharacteristic
156#16837503C2211yescharacteristic, complemented
157#16837503C2211yescharacteristic, complemented
158#16837503C2211yescharacteristic, complemented
159#16837503C2211yescharacteristic, complemented
160#16837503C2211yescharacteristic, complemented
161#16837503C2211yescharacteristic, complemented
162#16837501C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164SD16×Dic59C2211yescharacteristic
165SD16×Dic59C2211yescharacteristic, complemented
166D8×Dic59C2211yescharacteristic
167D8×Dic59C2211yescharacteristic, complemented
168#16837476C2211yescharacteristic, complemented
169#16837474C2211yescharacteristic
170#16837471C2211yescharacteristic, complemented
171C8×C22⋊D59C2211yescharacteristic, complemented
172(C22⋊D59)⋊C8C2211yescharacteristic, complemented
173#16837458C2211yescharacteristic, complemented
174#16837456C2211yescharacteristic, complemented
175#16837456C2211yescharacteristic, complemented
176#16837444C2211yescharacteristic, complemented
177#16837439C2211yescharacteristic, complemented
178C2×#14273661C2211yescharacteristic, complemented
179#16837407C2211yescharacteristic
180#16837403C2211yescharacteristic, complemented
181#16837397C2211yescharacteristic, complemented
182#16837395C2211yescharacteristic
183C2×#14273651C2211yescharacteristic, complemented
184C2×#14273648C2211yescharacteristic
185M16×Dic59C2211yescharacteristic, complemented
186C2×#14273637C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
189C22×SD16×C59C2211yescharacteristic
190C59×#548C2211yescharacteristic
191D42×C59C2211yescharacteristic
192C59×#496C2211yescharacteristic
193C59×#468C2211yescharacteristic
194C59×#466C2211yescharacteristic
195C59×#463C2211yescharacteristic
196C59×#460C2211yescharacteristic
197C59×#450C2211yescharacteristic
198C59×#449C2211yescharacteristic
199C59×#448C2211yescharacteristic
200C59×#447C2211yescharacteristic
201C59×#440C2211yescharacteristic
202C59×#435C2211yescharacteristic
203C2×#11745689C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687—21no—
206C2×#11745687D411yescharacteristic
207C2×#11745687C2311yescharacteristic
208C23×Dic59—21no—
209C23×Dic59—21no—
210#14273748—24no—
211C2×#11745672C2311yescharacteristic
212C2×#11745672C2311yescharacteristic
213C2×#11745660C2311yescharacteristic
214C2×#11745670C2311yescharacteristic
215C2×#11745669C2311yescharacteristic
216C2×#11745669C2311yescharacteristic
217C2×#11745669C2311yescharacteristic
218C2×#11745664C2311yescharacteristic
219C22×C59⋊C8C2311yescharacteristic
220C2×C8×D59C2311yescharacteristic
221C2×C8×D59C2311yescharacteristic
222#14273727C2311yescharacteristic
223#14273726—21no—
224#14273726C2311yescharacteristic
225#14273723—21no—
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#14273719—21no—
238#14273719C2311yescharacteristic
239#14273718—21no—
240#14273718—21no—
241#14273718C2311yescharacteristic
242#14273718C2311yescharacteristic
243#14273718C2311yescharacteristic
244#14273716—21no—
245#14273716C2311yescharacteristic
246#14273714—21no—
247#14273714—21no—
248#14273714C2311yescharacteristic
249#14273714C2311yescharacteristic
250#14273713—21no—
251#14273713—21no—
252#14273713—21no—
253#14273711—21no—
254#14273711—21no—
255#14273711—21no—
256#14273711—21no—
257#14273711—21no—
258#14273709—21no—
259#14273709—21no—
260#14273709—21no—
261#14273708—21no—
262#14273708—21no—
263#14273708—21no—
264#14273708—21no—
265#14273708—21no—
266#14273708—21no—
267#14273706—21no—
268#14273706C2311yescharacteristic
269#14273706C2311yescharacteristic
270#14273704—21no—
271#14273704—21no—
272#14273704—21no—
273#14273704—21no—
274#14273703—21no—
275#14273703C2311yescharacteristic
276#14273701—21no—
277#14273701—21no—
278#14273701C2311yescharacteristic
279#14273701C2311yescharacteristic
280#14273699—21no—
281#14273699—21no—
282#14273699—21no—
283#14273699—21no—
284#14273699—21no—
285#14273699—21no—
286#14273699—21no—
287#14273698—21no—
288#14273698—21no—
289#14273698C2311yescharacteristic
290#14273698C2311yescharacteristic
291#14273698C2311yescharacteristic
292#14273696—21no—
293#14273696—21no—
294Q8×Dic59—21no—
295Q8×Dic59—21no—
296Q8×Dic59C2311yescharacteristic
297Q8×Dic59C2311yescharacteristic
298Q8×Dic59C2311yescharacteristic
299Q8×Dic59C2311yescharacteristic
300Q8×Dic59C2311yescharacteristic
301C4×Dic118—21no—
302C4×Dic118C2311yescharacteristic
303C4×Dic118C2311yescharacteristic
304#14273692—21no—
305#14273692D411yescharacteristic
306#14273692C2311yescharacteristic
307C4×D236—21no—
308C4×D236C2311yescharacteristic
309D4×Dic59—21no—
310D4×Dic59—21no—
311D4×Dic59—21no—
312D4×Dic59—21no—
313D4×Dic59—21no—
314D4×Dic59—21no—
315D4×Dic59—21no—
316D4×Dic59—21no—
317D4×Dic59—21no—
318D4×Dic59—21no—
319D4×Dic59—21no—
320D4×Dic59—21no—
321D4×Dic59—21no—
322D4×Dic59—21no—
323D4×Dic59D411yescharacteristic
324D4×Dic59C2311yescharacteristic
325D4×Dic59C2311yescharacteristic
326D4×Dic59C2311yescharacteristic
327D4×Dic59C2311yescharacteristic
328D4×Dic59C2311yescharacteristic
329D4×Dic59C2311yescharacteristic
330D4×Dic59C2311yescharacteristic
331D4×Dic59C2311yescharacteristic
332D4×Dic59C2311yescharacteristic
333#14273689—21no—
334#14273689C2311yescharacteristic
335C4×C22⋊D59—21no—
336C4×C22⋊D59—21no—
337C4×C22⋊D59—21no—
338C4×C22⋊D59C2311yescharacteristic
339C4×C22⋊D59C2311yescharacteristic
340(C22⋊D59)⋊C4—21no—
341(C22⋊D59)⋊C4—21no—
342(C22⋊D59)⋊C4—21no—
343(C22⋊D59)⋊C4—21no—
344(C22⋊D59)⋊C4—21no—
345(C22⋊D59)⋊C4—21no—
346(C22⋊D59)⋊C4D411yescharacteristic
347(C22⋊D59)⋊C4D411yescharacteristic
348#14273686—21no—
349#14273686C2311yescharacteristic
350#14273685—21no—
351#14273685—21no—
352#14273685D411yescharacteristic
353#14273685C2311yescharacteristic
354#14273685C2311yescharacteristic
355#14273683—21no—
356#14273683—21no—
357#14273683—21no—
358#14273683—21no—
359#14273683D411yescharacteristic
360#14273683D411yescharacteristic
361C2×C4⋊Dic59—21no—
362C2×C4⋊Dic59—21no—
363C2×C4⋊Dic59C2311yescharacteristic
364C2×C4⋊Dic59C2311yescharacteristic
365C2×C4⋊Dic59C2311yescharacteristic
366C2×C22⋊Dic59—21no—
367C2×C22⋊Dic59—21no—
368C2×C22⋊Dic59—21no—
369C2×C22⋊Dic59—21no—
370C2×C4×Dic59—21no—
371C2×C4×Dic59—21no—
372C2×C4×Dic59—21no—
373C2×C4×Dic59C2311yescharacteristic
374C2×C4×Dic59C2311yescharacteristic
375C42×D59—21no—
376C42×D59C2311yescharacteristic
377#14273661C2311yescharacteristic
378#14273661C2311yescharacteristic
379#14273661C2311yescharacteristic
380#14273661C2311yescharacteristic
381#14273661C2311yescharacteristic
382#14273661C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273659C2311yescharacteristic
385#14273659C2311yescharacteristic
386#14273659C2311yescharacteristic
387#14273658C2311yescharacteristic
388#14273658C2311yescharacteristic
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#14273638C2311yescharacteristic
428#14273637C2311yescharacteristic
429#14273637C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C2×#41×C59C2311yescharacteristic
437C22×Q8×C59C2311yescharacteristic
438C22×D4×C59—21no—
439C22×D4×C59C2311yescharacteristic
440C22×D4×C59C2311yescharacteristic
441AGL(1,ℤ/8)×C59—24no—
442C2×SD16×C59—24no—
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454#127×C59C2311yescharacteristic
455#124×C59—21no—
456#124×C59C2311yescharacteristic
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic
459#121×C59—21no—
460#121×C59—21no—
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464#120×C59—21no—
465#120×C59—21no—
466C4×Q8×C59C2311yescharacteristic
467C4×D4×C59—21no—
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
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
480#97×C59C2311yescharacteristic
481C24×C59—21no—
482C24×C59—21no—
483#41×C59—22no—
484#41×C59—41no—
485C2×Q8×C59—21no—
486C2×Q8×C59—22no—
487C2×Q8×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—21no—
499C2×D4×C59—21no—
500C2×D4×C59—41no—
501C2×D4×C59—41no—
502C2×D4×C59—44no—
503C2×D4×C59C2×D411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59C2411yescharacteristic
512C22×C4×C59C2411yescharacteristic
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⋊D59C2×D411yescharacteristic
522C2×C22⋊D59C2×D411yescharacteristic
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—21no—
536C22×Dic59—82no—
537C22×Dic59—82no—
538C22×Dic59C2×D411yescharacteristic
539C22×Dic59C2×D411yescharacteristic
540C22×Dic59C2×D411yescharacteristic
541C22×Dic59C2×D411yescharacteristic
542#11745689—22no—
543#11745689—41no—
544#11745687—22no—
545#11745687—41no—
546#11745687—42no—
547#11745687—44no—
548#11745687—82no—
549C2×D236—21no—
550C2×D236C2411yescharacteristic
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59C2×D411yescharacteristic
555C2×C4×D59C2×D411yescharacteristic
556C2×C4×D59C2411yescharacteristic
557C2×Dic118—21no—
558C2×Dic118—21no—
559C2×Dic118C2×D411yescharacteristic
560C2×Dic118C2411yescharacteristic
561SD16×C59—22no—
562SD16×C59—22no—
563SD16×C59—22no—
564SD16×C59—22no—
565SD16×C59—41no—
566SD16×C59#4114yescomplemented
567D8×C59—22no—
568D8×C59—22no—
569D8×C59—41no—
570M16×C59—22no—
571C2×C8×C59—22no—
572C2×C8×C59C2411yescharacteristic
573C2×C8×C59C2411yescharacteristic
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59C2×D411yescharacteristic
579C4⋊C4×C59C2411yescharacteristic
580C4⋊C4×C59C2411yescharacteristic
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×C59C2×D411yescharacteristic
589C22⋊C4×C59C2×D411yescharacteristic
590C42×C59—21no—
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⋊Dic59—21no—
611C22⋊Dic59C2×D411yescharacteristic
612C22⋊Dic59C2×D411yescharacteristic
613#11745672—22no—
614#11745672—41no—
615#11745670—41no—
616#11745669—22no—
617#11745669—41no—
618#11745669—41no—
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)⋊C4—21no—
628(C2×D59)⋊C4C2×D411yescharacteristic
629(C2×D59)⋊C4C2×D411yescharacteristic
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59—21no—
633C4⋊Dic59—21no—
634C4⋊Dic59—21no—
635C4⋊Dic59—21no—
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59—21no—
639C4⋊Dic59—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59C2×D411yescharacteristic
643C4⋊Dic59C2411yescharacteristic
644C4⋊Dic59C2411yescharacteristic
645C4⋊Dic59C2411yescharacteristic
646C4⋊Dic59C2411yescharacteristic
647C4⋊Dic59C2411yescharacteristic
648C4⋊Dic59C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
661Dic59⋊C4C2×D411yescharacteristic
662Dic59⋊C4C2×D411yescharacteristic
663Dic59⋊C4C2×D411yescharacteristic
664C4×Dic59—21no—
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—
684C2×C59⋊C8—41no—
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689#11745660—22no—
690C8×D59—22no—
691C8×D59—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×D59C22×D411yescharacteristic
706Q8×C59—21no—
707Q8×C59—21no—
708Q8×C59—21no—
709Q8×C59—42no—
710Q8×C59C2×#4112yes—
711D4×C59—22no—
712D4×C59—21no—
713D4×C59—21no—
714D4×C59—21no—
715D4×C59—21no—
716D4×C59—21no—
717D4×C59—21no—
718D4×C59—21no—
719D4×C59—42no—
720D4×C59—42no—
721D4×C59—42no—
722D4×C59—42no—
723D4×C59—42no—
724D4×C59—42no—
725D4×C59—42no—
726D4×C59—81no—
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—42no—
739C2×C4×C59C22×D411yescharacteristic
740C2×C4×C59C22×D411yescharacteristic
741C2×C4×C59C22×D411yescharacteristic
742C2×C4×C59C22×D411yescharacteristic
743C2×C4×C59C2511yescharacteristic
744C22⋊D59—22no—
745C22⋊D59—41no—
746C22⋊D59—42no—
747C22⋊D59—42no—
748C22⋊D59—42no—
749C22⋊D59—81no—
750C22⋊D59—81no—
751C22⋊D59—81no—
752C22⋊D59—81no—
753C22⋊D59—81no—
754C2×Dic59—22no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—41no—
763C2×Dic59—41no—
764C2×Dic59—41no—
765C2×Dic59—42no—
766C2×Dic59—42no—
767C2×Dic59—42no—
768C2×Dic59—42no—
769C2×Dic59—42no—
770C2×Dic59—81no—
771C2×Dic59—81no—
772C2×Dic59—81no—
773C2×Dic59—81no—
774C2×Dic59—81no—
775C2×Dic59—81no—
776C2×Dic59—81no—
777C2×Dic59—81no—
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784C2×Dic59C22×D411yescharacteristic
785D236—21no—
786D236—21no—
787D236—42no—
788C4×D59—21no—
789C4×D59—21no—
790C4×D59—41no—
791C4×D59—41no—
792C4×D59—42no—
793C4×D59—42no—
794C4×D59—81no—
795Dic118—21no—
796Dic118—21no—
797Dic118—41no—
798Dic118—42no—
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#61456—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—22no—
813C22×C59—21no—
814C22×C59—21no—
815C22×C59—41no—
816C22×C59—41no—
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—84no—
827C22×C59—84no—
828C22×C59#57512yes—
829C22×C59C23×D411yescharacteristic
830C2×D59—21no—
831C2×D59—21no—
832C2×D59—21no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C4×C59—21no—
837C4×C59—22no—
838C4×C59—21no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—41no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59C22×#4111yescharacteristic
845C4×C59#58511yescharacteristic
846Dic59—21no—
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—
860#3481—591no—
861#3480—591no—
862#3403—591no—
863#3388—591no—
864#3371—591no—
865#3370—591no—
866#3350—591no—
867#3346—591no—
868#3339—591no—
869#3318—591no—
870#3316—591no—
871#3311—591no—
872#3309—591no—
873#3301—591no—
874#3297—591no—
875#3282—591no—
876#3268—591no—
877#3265D5911yescharacteristic, complemented
878#3183—591no—
879#3180—591no—
880#3180—591no—
881#3117—591no—
882#3115—591no—
883#3114—591no—
884#3111—591no—
885#3111—591no—
886#3109—591no—
887#2970—591no—
888C4×AGL(1,ℤ/8)—591no—
889#2943—591no—
890C2×#440—591no—
891C2×C59—22no—
892C2×C59—41no—
893C2×C59—42no—
894C2×C59—81no—
895C2×C59—81no—
896C2×C59—81no—
897C2×C59D4×#4111yescharacteristic
898C2×C59C2×#57511yescharacteristic
899C2×C59#358511yescharacteristic
900D59—41no—
901D59—81no—
902C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
903C2×#135—591no—
904C22×SD16C2×D5911yescharacteristic
905#559—591no—
906#559—591no—
907#559—1181no—
908#557—591no—
909#556—591no—
910#556—1181no—
911#554—591no—
912#554—591no—
913#553—591no—
914#553—591no—
915#553—591no—
916#553—591no—
917#553—1181no—
918#553—1181no—
919#553—1181no—
920#551—1181no—
921#551—1181no—
922#550—591no—
923#548—591no—
924#548C2×D5911yescharacteristic
925#546—591no—
926#546—591no—
927#546—1181no—
928D42C2×D5911yescharacteristic
929#532—591no—
930#532—591no—
931#532—1181no—
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—
941C4×#41—591no—
942C4×#41—591no—
943C4×#41—591no—
944C4×#41—591no—
945C4×#41—1181no—
946C2×C4×Q8—591no—
947C2×C4×D4—591no—
948C2×C4×D4—591no—
949C2×C4×D4—1181no—
950#501—591no—
951#501—591no—
952#499—591no—
953#496—591no—
954#496C2×D5911yescharacteristic
955#495—591no—
956#490—591no—
957#490—591no—
958#489—591no—
959#489—591no—
960#488—591no—
961#488—591no—
962#485—591no—
963#485—591no—
964#484—591no—
965#483—591no—
966#482—591no—
967#482—591no—
968#482—591no—
969#482—591no—
970#481—591no—
971#481—591no—
972#481—591no—
973#480—591no—
974#479—591no—
975#479—591no—
976#479—591no—
977#479—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#476—591no—
983#476—591no—
984#475—591no—
985#474—591no—
986#470—591no—
987#469—591no—
988#468—591no—
989#468C2×D5911yescharacteristic
990#466—591no—
991#466—591no—
992#466—591no—
993#466C2×D5911yescharacteristic
994#465—591no—
995#465—591no—
996#465—591no—
997#465—591no—
998#464—591no—
999#464—591no—
1000#464—591no—
1001#464—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463C2×D5911yescharacteristic
1006#460C2×D5911yescharacteristic
1007#459—591no—
1008#459—591no—
1009#459—591no—
1010#452—591no—
1011#452—591no—
1012#451—591no—
1013#450C2×D5911yescharacteristic
1014#449—591no—
1015#449—591no—
1016#449—591no—
1017#449C2×D5911yescharacteristic
1018#448C2×D5911yescharacteristic
1019#447—591no—
1020#447—591no—
1021#447C2×D5911yescharacteristic
1022#446—591no—
1023#446—591no—
1024#442—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#441—591no—
1034#440—591no—
1035#440—591no—
1036#440—591no—
1037#440—591no—
1038#440—591no—
1039#440—591no—
1040#440—591no—
1041#440—591no—
1042#440—591no—
1043#440—591no—
1044#440—591no—
1045#440—591no—
1046#440—591no—
1047#440C2×D5911yescharacteristic
1048C4×SD16—591no—
1049C4×SD16—591no—
1050C4×D8—591no—
1051C4×D8—591no—
1052#435—591no—
1053#435—591no—
1054#435—591no—
1055#435C2×D5911yescharacteristic
1056C8×D4—591no—
1057C8×D4—591no—
1058#432—591no—
1059#432—591no—
1060#432—591no—
1061#428—591no—
1062#427—591no—
1063C2×#107—591no—
1064#418—591no—
1065#417—591no—
1066#416—591no—
1067#416—591no—
1068C2×#103—591no—
1069C2×#102—591no—
1070C4×M16—591no—
1071C2×#97—591no—
1072C2×#97—591no—
1073C59#6145611yescharacteristic, complemented, Sylow
1074C2×#41—591no—
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—1181no—
1078C2×#41—1181no—
1079C2×#41C22×D5911yescharacteristic
1080C22×Q8C22×D5911yescharacteristic
1081C22×D4—21no—
1082C22×D4C22×D5911yescharacteristic
1083C22×D4C22×D5911yescharacteristic
1084C23×C4—1181no—
1085C23×C4—1181no—
1086AGL(1,ℤ/8)—24no—
1087#135—1184no—
1088C2×Q16—591no—
1089C2×Q16—591no—
1090C2×SD16—24no—
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16C22×D5911yescharacteristic
1094C2×SD16C22×D5911yescharacteristic
1095C2×SD16C22×D5911yescharacteristic
1096C2×SD16C22×D5911yescharacteristic
1097C2×SD16C22×D5911yescharacteristic
1098C2×SD16C22×D5911yescharacteristic
1099C2×D8—591no—
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8C22×D5911yescharacteristic
1103C2×D8C22×D5911yescharacteristic
1104C2×D8C22×D5911yescharacteristic
1105C2×M16—591no—
1106C2×M16C22×D5911yescharacteristic
1107C22×C8—591no—
1108C22×C8—591no—
1109C22×C8—591no—
1110C22×C8C22×D5911yescharacteristic
1111C4⋊Q8—591no—
1112C4⋊Q8—591no—
1113C4⋊Q8—1181no—
1114#127—591no—
1115#127—1181no—
1116#127C22×D5911yescharacteristic
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#126—1181no—
1127#125—591no—
1128#125—591no—
1129#125—591no—
1130#125—591no—
1131#125—1181no—
1132#125—1181no—
1133#125—1181no—
1134#124—21no—
1135#124—591no—
1136#124—591no—
1137#124—591no—
1138#124—1181no—
1139#124—1181no—
1140#124—1181no—
1141#124—1181no—
1142#124—1181no—
1143#124—1181no—
1144#124C22×D5911yescharacteristic
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—
1158#123—1181no—
1159C22⋊Q8—21no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—591no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8C22×D5911yescharacteristic
1170#121—21no—
1171#121—21no—
1172#121—591no—
1173#121—591no—
1174#121—591no—
1175#121—591no—
1176#121—591no—
1177#121—1181no—
1178#121—1181no—
1179#121—1181no—
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#121C22×D5911yescharacteristic
1191#120—21no—
1192#120—21no—
1193#120—1181no—
1194#120—1181no—
1195C4×Q8—591no—
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×Q8—1181no—
1206C4×Q8—1181no—
1207C4×Q8—1181no—
1208C4×Q8C22×D5911yescharacteristic
1209C4×D4—21no—
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—591no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—591no—
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×D4—1181no—
1244C4×D4—1181no—
1245C4×D4—1181no—
1246C4×D4—1181no—
1247C4×D4—1181no—
1248C4×D4—1181no—
1249C4×D4—1181no—
1250C4×D4—1181no—
1251C4×D4C22×D5911yescharacteristic
1252C4×D4C22×D5911yescharacteristic
1253#117—591no—
1254#117—591no—
1255#117—591no—
1256#117—591no—
1257#117—591no—
1258#117—591no—
1259#117—1181no—
1260#117—1181no—
1261#117—1181no—
1262#117—1181no—
1263#117—1181no—
1264#117—1181no—
1265#117—1181no—
1266C2×C4⋊C4—591no—
1267C2×C4⋊C4—591no—
1268C2×C4⋊C4—591no—
1269C2×C4⋊C4—1181no—
1270C2×C4⋊C4—1181no—
1271C2×C22⋊C4—1181no—
1272C2×C22⋊C4—1181no—
1273C2×C22⋊C4—1181no—
1274C2×C22⋊C4—1181no—
1275C2×C42—591no—
1276C2×C42—591no—
1277C2×C42—591no—
1278C2×C42—1181no—
1279C2×C42—1181no—
1280C2×C42—1181no—
1281C2×C42—1181no—
1282#107—591no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107—591no—
1289#107C22×D5911yescharacteristic
1290#106—591no—
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106—591no—
1296#106—591no—
1297#106—591no—
1298C4⋊C8—591no—
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8C22×D5911yescharacteristic
1304#103—591no—
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#103C22×D5911yescharacteristic
1315#103C22×D5911yescharacteristic
1316#102—591no—
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#102C22×D5911yescharacteristic
1333#102C22×D5911yescharacteristic
1334#102C22×D5911yescharacteristic
1335#102C22×D5911yescharacteristic
1336C22⋊C8—591no—
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8C22×D5911yescharacteristic
1341C22⋊C8C22×D5911yescharacteristic
1342#97—591no—
1343#97—591no—
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347#97—591no—
1348#97—591no—
1349#97C22×D5911yescharacteristic
1350C4×C8—591no—
1351C4×C8—591no—
1352C24—21no—
1353C24—21no—
1354#41—22no—
1355#41—41no—
1356#41—1182no—
1357#41—1182no—
1358#41—4722no—
1359#41—2362no—
1360#41—2361no—
1361#41—2364no—
1362#41—2361no—
1363C2×Q8—21no—
1364C2×Q8—22no—
1365C2×Q8—41no—
1366C2×Q8—591no—
1367C2×Q8—591no—
1368C2×Q8—1181no—
1369C2×Q8—1181no—
1370C2×Q8C23×D5911yescharacteristic
1371C2×Q8C23×D5911yescharacteristic
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—44no—
1385C2×D4—591no—
1386C2×D4—591no—
1387C2×D4—591no—
1388C2×D4—1181no—
1389C2×D4—1181no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—1181no—
1393C2×D4—1181no—
1394C2×D4—1181no—
1395C2×D4—1181no—
1396C2×D4—1181no—
1397C2×D4D4×D5911yescharacteristic
1398C2×D4C23×D5911yescharacteristic
1399C2×D4C23×D5911yescharacteristic
1400C2×D4C23×D5911yescharacteristic
1401C2×D4C23×D5911yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—591no—
1410C22×C4—591no—
1411C22×C4—591no—
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—1181no—
1427C22×C4—1181no—
1428C22×C4—4722no—
1429C22×C4—4722no—
1430C22×C4C23×D5911yescharacteristic
1431C22×C4C23×D5911yescharacteristic
1432Q16—1182no—
1433Q16—2361no—
1434SD16—22no—
1435SD16—22no—
1436SD16—22no—
1437SD16—22no—
1438SD16—41no—
1439SD16—1182no—
1440SD16—2361no—
1441SD16#1174568714yescomplemented
1442D8—22no—
1443D8—22no—
1444D8—41no—
1445D8—1182no—
1446D8—2361no—
1447D8—2361no—
1448M16—22no—
1449M16—2361no—
1450C2×C8—22no—
1451C2×C8—591no—
1452C2×C8—591no—
1453C2×C8—591no—
1454C2×C8—591no—
1455C2×C8—1182no—
1456C2×C8—2361no—
1457C2×C8—2361no—
1458C2×C8C23×D5911yescharacteristic
1459C2×C8C23×D5911yescharacteristic
1460C2×C8C23×D5911yescharacteristic
1461C2×C8C23×D5911yescharacteristic
1462C4⋊C4—21no—
1463C4⋊C4—21no—
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—591no—
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⋊C4D4×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—591no—
1509C22⋊C4—591no—
1510C22⋊C4—591no—
1511C22⋊C4—591no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1541C22⋊C4D4×D5911yescharacteristic
1542C42—21no—
1543C42—591no—
1544C42—591no—
1545C42—591no—
1546C42—591no—
1547C42—591no—
1548C42—591no—
1549C42—591no—
1550C42—591no—
1551C42—591no—
1552C42—1181no—
1553C42—1181no—
1554C42—1181no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42—1181no—
1561C42—1181no—
1562C42C23×D5911yescharacteristic
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—42no—
1568C23—42no—
1569C23—42no—
1570C23—42no—
1571C23—81no—
1572C23—81no—
1573C23—591no—
1574C23—1181no—
1575C23C2×D4×D5911yescharacteristic
1576C23C2×D4×D5911yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—42no—
1581Q8—1181no—
1582Q8—1181no—
1583Q8—4721no—
1584Q8—2361no—
1585Q8—2362no—
1586Q8C2×#1174568712yes—
1587D4—22no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—42no—
1596D4—42no—
1597D4—42no—
1598D4—42no—
1599D4—42no—
1600D4—42no—
1601D4—42no—
1602D4—81no—
1603D4—1182no—
1604D4—1181no—
1605D4—1181no—
1606D4—4721no—
1607D4—4721no—
1608D4—4721no—
1609D4—4721no—
1610D4—4721no—
1611D4—2362no—
1612D4—2361no—
1613D4—2362no—
1614D4—2362no—
1615D4—2362no—
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—42no—
1628C2×C4—591no—
1629C2×C4—591no—
1630C2×C4—591no—
1631C2×C4—591no—
1632C2×C4—591no—
1633C2×C4—591no—
1634C2×C4—591no—
1635C2×C4—1182no—
1636C2×C4—1181no—
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—4721no—
1646C2×C4—4721no—
1647C2×C4—4721no—
1648C2×C4—4721no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—4721no—
1652C2×C4—4721no—
1653C2×C4—4721no—
1654C2×C4—2361no—
1655C2×C4—2361no—
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×C4C2×D4×D5911yescharacteristic
1667C2×C4C2×D4×D5911yescharacteristic
1668C2×C4C2×D4×D5911yescharacteristic
1669C2×C4C2×D4×D5911yescharacteristic
1670C2×C4C24×D5911yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—1181no—
1675C8—1181no—
1676C8—1181no—
1677C8—1181no—
1678C8C2×#1174568712yes—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—22no—
1684C22—21no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—84no—
1697C22—84no—
1698C22—1181no—
1699C22—1181no—
1700C22—1181no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22#1683819812yes—
1705C22C22×D4×D5911yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—22no—
1710C4—21no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—1181no—
1715C4—1181no—
1716C4—1181no—
1717C4—1181no—
1718C4—1181no—
1719C4—1181no—
1720C4—1181no—
1721C4—2361no—
1722C4—2361no—
1723C4—2361no—
1724C4—2361no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4C22×#1174568711yescharacteristic
1729C4#1683823711yescharacteristic
1730C2—22no—
1731C2—41no—
1732C2—42no—
1733C2—81no—
1734C2—81no—
1735C2—81no—
1736C2—4721no—
1737C2—2361no—
1738C2D4×#1174568711yescharacteristic
1739C2C2×#1683819811yescharacteristic
1740C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3265C2
socleC22×C59C23×D4
hypercenter#3265D59
hypocenterC59#61456
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #21437697C2semidirect
2. #21437686C2semidirect
3. #21437181C2semidirect
4. #21437046C2semidirect
5. #21436857C2semidirect
6. #21436846C2semidirect
7. #21436636C2semidirect
8. #21436583C2semidirect
9. #21436501C2semidirect
10. #21436237C2semidirect
11. #21436207C2semidirect
12. #21436125C2semidirect
13. #21436095C2semidirect
14. #21436002C2semidirect
15. #21435950C2semidirect
16. #21435803C2semidirect
17. #21435630C2semidirect
18. #21434818C2semidirect
19. #21434791C2semidirect
20. #21434789C2semidirect
21. #21434262C2semidirect
22. #21434246C2semidirect
23. #21434235C2semidirect
24. #21434202C2semidirect
25. #21434198C2semidirect
26. #21434182C2semidirect
27. #21433106C2semidirect
28. AGL(1,ℤ/8)×Dic59C2semidirect
29. #21432891C2semidirect
30. C2×#16837503C2semidirect
31. C59×#3265C2semidirect
35. #16838134C22semidirect
36. #16838128C22semidirect
38. #16838123C22semidirect
45. #16838104C22semidirect
50. #16838071C22semidirect
51. #16838063C22semidirect
57. #16837947C22semidirect
59. #16837938C22semidirect
64. #16837931C22semidirect
67. #41×Dic59C22semidirect
68. C4×#11745689C22semidirect
72. C2×Q8×Dic59C22semidirect
76. #16837811C22semidirect
77. #16837810C22semidirect
78. #16837803C22semidirect
79. #16837790C22semidirect
80. #16837783C22semidirect
82. #16837765C22semidirect
83. #16837761C22semidirect
84. #16837760C22semidirect
85. #16837758C22semidirect
86. #16837755C22semidirect
87. #16837744C22semidirect
88. #16837741C22semidirect
89. #16837738C22semidirect
90. #16837730C22semidirect
91. #16837724C22semidirect
92. #16837724C22semidirect
93. #16837724C22semidirect
95. #16837721C22semidirect
97. #16837718C22semidirect
98. #16837716C22semidirect
99. #16837711C22semidirect
100. #16837711C22semidirect
101. #16837710C22semidirect
102. #16837707C22semidirect
105. #16837700C22semidirect
106. #16837700C22semidirect
108. #16837690C22semidirect
109. #16837687C22semidirect
110. #16837683C22semidirect
111. #16837658C22semidirect
113. #16837648C22semidirect
115. #16837635C22semidirect
116. #16837635C22semidirect
117. #16837631C22semidirect
118. #16837629C22semidirect
119. #16837628C22semidirect
120. #16837628C22semidirect
121. #16837622C22semidirect
122. #16837622C22semidirect
123. #16837622C22semidirect
124. #16837621C22semidirect
126. #16837619C22semidirect
127. #16837615C22semidirect
129. #16837595C22semidirect
131. #16837564C22semidirect
133. #16837558C22semidirect
134. #16837546C22semidirect
135. #16837546C22semidirect
139. #16837531C22semidirect
140. #16837530C22semidirect
142. #16837514C22semidirect
143. #16837514C22semidirect
146. #16837511C22semidirect
147. #16837511C22semidirect
148. #16837507C22semidirect
149. #16837506C22semidirect
150. #16837506C22semidirect
151. #16837504C22semidirect
156. #16837503C22semidirect
157. #16837503C22semidirect
158. #16837503C22semidirect
159. #16837503C22semidirect
160. #16837503C22semidirect
161. #16837503C22semidirect
162. #16837501C22semidirect
163. #16837499C22semidirect
165. SD16×Dic59C22semidirect
167. D8×Dic59C22semidirect
168. #16837476C22semidirect
170. #16837471C22semidirect
171. C8×C22⋊D59C22semidirect
172. (C22⋊D59)⋊C8C22semidirect
173. #16837458C22semidirect
174. #16837456C22semidirect
175. #16837456C22semidirect
176. #16837444C22semidirect
177. #16837439C22semidirect
178. C2×#14273661C22semidirect
180. #16837403C22semidirect
181. #16837397C22semidirect
183. C2×#14273651C22semidirect
185. M16×Dic59C22semidirect
186. C2×#14273637C22semidirect
187. #97×D59C22semidirect
566. SD16×C59#41semidirect
877. #3265D59semidirect
1073. C59#61456semidirect
1441. SD16#11745687semidirect

Maximal subgroups

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

subgroupindex
#214376972
#214376862
#214371812
#214370462
#214368572
#214368462
#214366362
#214365832
#214365012
#214362372
#214362072
#214361252
#214360952
#214360022
#214359502
#214358032
#214356302
#214348182
#214347912
#214347892
#214342622
#214342462
#214342352
#214342022
#214341982
#214341822
#214331062
AGL(1,ℤ/8)×Dic592
#214328912
C2×#168375032
C59×#32652
#6145659