Finite Group Databasebeta

← #29470463

Subgroups — #29470463

Order 15104.

1904 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437712C211yesmaximal, characteristic, complemented
2#21437697C211yesmaximal, characteristic, complemented
3#21437157C211yesmaximal, characteristic, complemented
4#21437046C211yesmaximal, characteristic, complemented
5#21436920C211yesmaximal, characteristic, complemented
6#21436857C211yesmaximal, characteristic, complemented
7#21436651C211yesmaximal, characteristic, complemented
8#21436572C211yesmaximal, characteristic, complemented
9#21436553C211yesmaximal, characteristic, complemented
10#21436342C211yesmaximal, characteristic, complemented
11#21436316C211yesmaximal, characteristic, complemented
12#21436271C211yesmaximal, characteristic, complemented
13#21436207C211yesmaximal, characteristic, complemented
14#21436117C211yesmaximal, characteristic, complemented
15#21436061C211yesmaximal, characteristic, complemented
16#21435727C211yesmaximal, characteristic, complemented
17#21435606C211yesmaximal, characteristic, complemented
18#21434695C211yesmaximal, characteristic, complemented
19#21434688C211yesmaximal, characteristic, complemented
20#21434661C211yesmaximal, characteristic, complemented
21#21434171C211yesmaximal, characteristic, complemented
22#21434138C211yesmaximal, characteristic, complemented
23#21434126C211yesmaximal, characteristic, complemented
24#21434111C211yesmaximal, characteristic, complemented
25#21434107C211yesmaximal, characteristic, complemented
26#21434099C211yesmaximal, characteristic, complemented
27#21433056C211yesmaximal, characteristic, complemented
28#21432918C211yesmaximal, characteristic, complemented
29AGL(1,ℤ/8)×Dic59C211yesmaximal, characteristic, complemented
30C2×SD16×Dic59C211yesmaximal, characteristic, complemented
31C59×#3265C211yesmaximal, characteristic, complemented
32C2×#14273756C2211yescharacteristic
33#16838138C2211yescharacteristic
34#16838128C2211yescharacteristic, complemented
35#16838121—21no—
36#16838121C2211yescharacteristic, complemented
37#16838109C2211yescharacteristic
38#16838109C2211yescharacteristic
39#16838104—21no—
40#16838104C2211yescharacteristic
41#16838104C2211yescharacteristic
42#16838092—21no—
43#16838092C2211yescharacteristic
44#16838086—21no—
45#16838086C2211yescharacteristic, complemented
46#16838083—21no—
47#16838083—21no—
48Q8×C22⋊D59C2211yescharacteristic, complemented
49#16838059C2211yescharacteristic, complemented
50#16838052—21no—
51#16838052C2211yescharacteristic, complemented
52#16838046—21no—
53#16838046C2211yescharacteristic
54#16838046C2211yescharacteristic
55#16837954—21no—
56#16837954C2211yescharacteristic, complemented
57#16837950C2211yescharacteristic
58#16837933—21no—
59#16837933—21no—
60#16837933C2211yescharacteristic
61#16837933C2211yescharacteristic
62#16837933C2211yescharacteristic, complemented
63#16837931—21no—
64#16837931C2211yescharacteristic, complemented
65#16837908—21no—
66#16837908—21no—
67#41×Dic59C2211yescharacteristic, complemented
68C4×#11745687—21no—
69C4×#11745687C2211yescharacteristic
70C4×#11745687C2211yescharacteristic
71C2×Q8×Dic59C2211yescharacteristic, complemented
72C4×Q8×D59C2211yescharacteristic, complemented
73C2×D4×Dic59—21no—
74C2×D4×Dic59C2211yescharacteristic
75C2×D4×Dic59C2211yescharacteristic
76#16837811C2211yescharacteristic, complemented
77#16837810C2211yescharacteristic, complemented
78#16837803C2211yescharacteristic, complemented
79#16837793C2211yescharacteristic, complemented
80#16837785C2211yescharacteristic, complemented
81#16837769C2211yescharacteristic, complemented
82#16837766C2211yescharacteristic
83#16837761C2211yescharacteristic, complemented
84#16837760C2211yescharacteristic, complemented
85#16837755C2211yescharacteristic, complemented
86#16837755C2211yescharacteristic, complemented
87#16837744C2211yescharacteristic, complemented
88#16837742C2211yescharacteristic, complemented
89#16837738C2211yescharacteristic, complemented
90#16837733C2211yescharacteristic, complemented
91#16837733C2211yescharacteristic, complemented
92#16837730C2211yescharacteristic, complemented
93#16837725C2211yescharacteristic, complemented
94#16837723C2211yescharacteristic
95#16837719C2211yescharacteristic, complemented
96#16837719C2211yescharacteristic, complemented
97#16837718C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic
99#16837711C2211yescharacteristic, complemented
100#16837710C2211yescharacteristic, complemented
101#16837707C2211yescharacteristic, complemented
102#16837707C2211yescharacteristic, complemented
103#16837704C2211yescharacteristic, complemented
104#16837702C2211yescharacteristic
105#16837700C2211yescharacteristic
106#16837700C2211yescharacteristic, complemented
107#16837690C2211yescharacteristic
108#16837690C2211yescharacteristic, complemented
109#16837688C2211yescharacteristic, complemented
110#16837687C2211yescharacteristic, complemented
111#16837660C2211yescharacteristic, complemented
112#16837658C2211yescharacteristic, complemented
113#16837652C2211yescharacteristic, complemented
114#16837652C2211yescharacteristic, complemented
115#16837646C2211yescharacteristic
116#16837645C2211yescharacteristic, complemented
117#16837645C2211yescharacteristic, complemented
118#16837643C2211yescharacteristic, complemented
119#16837629C2211yescharacteristic
120#16837629C2211yescharacteristic, complemented
121#16837622C2211yescharacteristic, complemented
122#16837622C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837621C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic
126#16837615C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic, complemented
128#16837605C2211yescharacteristic
129#16837605C2211yescharacteristic, complemented
130#16837599C2211yescharacteristic
131#16837564C2211yescharacteristic, complemented
132#16837561C2211yescharacteristic
133#16837558C2211yescharacteristic, complemented
134#16837553C2211yescharacteristic
135#16837553C2211yescharacteristic
136#16837544C2211yescharacteristic
137#16837539C2211yescharacteristic, complemented
138#16837539C2211yescharacteristic, complemented
139#16837531C2211yescharacteristic, complemented
140#16837530C2211yescharacteristic, complemented
141#16837514C2211yescharacteristic
142#16837514C2211yescharacteristic, complemented
143#16837510C2211yescharacteristic, complemented
144#16837507C2211yescharacteristic, complemented
145#16837503C2211yescharacteristic
146#16837503C2211yescharacteristic, complemented
147#16837502C2211yescharacteristic
148#16837496C2211yescharacteristic, complemented
149#16837494C2211yescharacteristic, complemented
150#16837494C2211yescharacteristic, complemented
151#16837493C2211yescharacteristic
152#16837493C2211yescharacteristic, complemented
153#16837493C2211yescharacteristic, complemented
154#16837493C2211yescharacteristic, complemented
155SD16×Dic59C2211yescharacteristic
156SD16×Dic59C2211yescharacteristic
157SD16×Dic59C2211yescharacteristic
158SD16×Dic59C2211yescharacteristic
159SD16×Dic59C2211yescharacteristic, complemented
160SD16×Dic59C2211yescharacteristic, complemented
161SD16×Dic59C2211yescharacteristic, complemented
162SD16×Dic59C2211yescharacteristic, complemented
163SD16×Dic59C2211yescharacteristic, complemented
164SD16×Dic59C2211yescharacteristic, complemented
165D8×Dic59C2211yescharacteristic
166D8×Dic59C2211yescharacteristic, complemented
167D8×Dic59C2211yescharacteristic, complemented
168#16837478C2211yescharacteristic, complemented
169#16837477C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic
171#16837473C2211yescharacteristic, complemented
172#16837470C2211yescharacteristic, complemented
173#16837454C2211yescharacteristic, complemented
174#16837452C2211yescharacteristic, complemented
175#16837452C2211yescharacteristic, complemented
176#16837444C2211yescharacteristic, complemented
177#16837443C2211yescharacteristic, complemented
178C2×#14273659C2211yescharacteristic, complemented
179#16837409C2211yescharacteristic, complemented
180#16837407C2211yescharacteristic
181#16837403C2211yescharacteristic, complemented
182#16837400C2211yescharacteristic
183C2×#14273651C2211yescharacteristic, complemented
184C2×#14273648C2211yescharacteristic
185#16837354C2211yescharacteristic, complemented
186M16×Dic59C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, 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×#11745687—21no—
204C2×#11745687—21no—
205C2×#11745687D411yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C23×Dic59—21no—
209C23×Dic59—21no—
210#14273756—24no—
211C2×Dic236C2311yescharacteristic
212C2×#11745672C2311yescharacteristic
213C2×#11745672C2311yescharacteristic
214C2×#11745670C2311yescharacteristic
215C2×#11745670C2311yescharacteristic
216C2×#11745670C2311yescharacteristic
217C2×#11745670C2311yescharacteristic
218C2×#11745664C2311yescharacteristic
219C2×#11745659C2311yescharacteristic
220C2×#11745659C2311yescharacteristic
221C22×C59⋊C8C2311yescharacteristic
222#14273727C2311yescharacteristic
223#14273726—21no—
224#14273726C2311yescharacteristic
225#14273725—21no—
226#14273725C2311yescharacteristic
227#14273720—21no—
228#14273720—21no—
229#14273720—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#14273717—21no—
245#14273717—21no—
246#14273717—21no—
247#14273714—21no—
248#14273714—21no—
249#14273714—21no—
250#14273714C2311yescharacteristic
251#14273714C2311yescharacteristic
252#14273714C2311yescharacteristic
253#14273711—21no—
254#14273711—21no—
255#14273709—21no—
256#14273709—21no—
257#14273709—21no—
258#14273708—21no—
259#14273708—21no—
260#14273708—21no—
261#14273708—21no—
262#14273708—21no—
263#14273708—21no—
264#14273708—21no—
265#14273708—21no—
266#14273708—21no—
267#14273706—21no—
268#14273706—21no—
269#14273706—21no—
270#14273706C2311yescharacteristic
271#14273706C2311yescharacteristic
272#14273706C2311yescharacteristic
273#14273706C2311yescharacteristic
274#14273704—21no—
275#14273704—21no—
276#14273704—21no—
277#14273704—21no—
278#14273704—21no—
279#14273704—21no—
280#14273704—21no—
281#14273703—21no—
282#14273703C2311yescharacteristic
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×Dic118—21no—
303C4×Dic118C2311yescharacteristic
304C4×Dic118C2311yescharacteristic
305C4×Dic118C2311yescharacteristic
306#14273692—21no—
307#14273692—21no—
308#14273692D411yescharacteristic
309#14273692C2311yescharacteristic
310#14273692C2311yescharacteristic
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×Dic59—21no—
324D4×Dic59—21no—
325D4×Dic59D411yescharacteristic
326D4×Dic59C2311yescharacteristic
327D4×Dic59C2311yescharacteristic
328D4×Dic59C2311yescharacteristic
329D4×Dic59C2311yescharacteristic
330D4×Dic59C2311yescharacteristic
331D4×Dic59C2311yescharacteristic
332D4×Dic59C2311yescharacteristic
333D4×Dic59C2311yescharacteristic
334D4×Dic59C2311yescharacteristic
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)⋊C4D411yescharacteristic
343(C22⋊D59)⋊C4D411yescharacteristic
344#14273686—21no—
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#14273683D411yescharacteristic
358#14273683D411yescharacteristic
359C2×C4⋊Dic59—21no—
360C2×C4⋊Dic59—21no—
361C2×C4⋊Dic59C2311yescharacteristic
362C2×C4⋊Dic59C2311yescharacteristic
363C2×C4⋊Dic59C2311yescharacteristic
364C4⋊C4×D59—21no—
365C4⋊C4×D59C2311yescharacteristic
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#14273660C2311yescharacteristic
381#14273660C2311yescharacteristic
382#14273659C2311yescharacteristic
383#14273659C2311yescharacteristic
384#14273659C2311yescharacteristic
385#14273659C2311yescharacteristic
386#14273659C2311yescharacteristic
387#14273659C2311yescharacteristic
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#14273652C2311yescharacteristic
401#14273652C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273648C2311yescharacteristic
412#14273648C2311yescharacteristic
413#14273648C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423C22⋊(C59⋊C8)C2311yescharacteristic
424C22⋊(C59⋊C8)C2311yescharacteristic
425(C2×D59)⋊C8C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427#14273638C2311yescharacteristic
428#14273637C2311yescharacteristic
429#14273637C2311yescharacteristic
430C8×Dic59C2311yescharacteristic
431C8×Dic59C2311yescharacteristic
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
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⋊D59C2×D411yescharacteristic
518C2×C22⋊D59C2×D411yescharacteristic
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
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—82no—
533C22×Dic59—82no—
534C22×Dic59C2×D411yescharacteristic
535C22×Dic59C2×D411yescharacteristic
536C22×Dic59C2×D411yescharacteristic
537C22×Dic59C2×D411yescharacteristic
538Q8×D59—22no—
539Q8×D59—41no—
540#11745687—22no—
541#11745687—41no—
542#11745687—42no—
543#11745687—44no—
544#11745687—82no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59C2×D411yescharacteristic
548C2×C4×D59C2×D411yescharacteristic
549C2×C4×D59C2411yescharacteristic
550C2×Dic118—21no—
551C2×Dic118—21no—
552C2×Dic118—21no—
553C2×Dic118C2×D411yescharacteristic
554C2×Dic118C2411yescharacteristic
555C2×Dic118C2411yescharacteristic
556SD16×C59—22no—
557SD16×C59—22no—
558SD16×C59—22no—
559SD16×C59—22no—
560SD16×C59—41no—
561SD16×C59#4114yescomplemented
562D8×C59—22no—
563D8×C59—22no—
564D8×C59—41no—
565M16×C59—22no—
566C2×C8×C59—22no—
567C2×C8×C59C2411yescharacteristic
568C2×C8×C59C2411yescharacteristic
569C2×C8×C59C2411yescharacteristic
570C2×C8×C59C2411yescharacteristic
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59C2×D411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C4⋊C4×C59C2411yescharacteristic
576C22⋊C4×C59—21no—
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59C2×D411yescharacteristic
584C22⋊C4×C59C2×D411yescharacteristic
585C42×C59—21no—
586C42×C59C2411yescharacteristic
587C22⋊Dic59—21no—
588C22⋊Dic59—21no—
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
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—22no—
613#11745672—41no—
614#11745670—22no—
615#11745670—41no—
616#11745670—41no—
617#11745670—41no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4C2×D411yescharacteristic
621(C2×D59)⋊C4C2×D411yescharacteristic
622C4⋊Dic59—21no—
623C4⋊Dic59—21no—
624C4⋊Dic59—21no—
625C4⋊Dic59—21no—
626C4⋊Dic59—21no—
627C4⋊Dic59—21no—
628C4⋊Dic59—21no—
629C4⋊Dic59—21no—
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59—21no—
633C4⋊Dic59—21no—
634C4⋊Dic59C2×D411yescharacteristic
635C4⋊Dic59C2411yescharacteristic
636C4⋊Dic59C2411yescharacteristic
637C4⋊Dic59C2411yescharacteristic
638C4⋊Dic59C2411yescharacteristic
639C4⋊Dic59C2411yescharacteristic
640C4⋊Dic59C2411yescharacteristic
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
660Dic59⋊C4C2×D411yescharacteristic
661Dic59⋊C4C2×D411yescharacteristic
662Dic59⋊C4C2×D411yescharacteristic
663C4×Dic59—21no—
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
689Dic236—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×D59C22×D411yescharacteristic
705Q8×C59—21no—
706Q8×C59—21no—
707Q8×C59—21no—
708Q8×C59—42no—
709Q8×C59C2×#4112yes—
710D4×C59—22no—
711D4×C59—21no—
712D4×C59—21no—
713D4×C59—21no—
714D4×C59—21no—
715D4×C59—21no—
716D4×C59—21no—
717D4×C59—21no—
718D4×C59—42no—
719D4×C59—42no—
720D4×C59—42no—
721D4×C59—42no—
722D4×C59—42no—
723D4×C59—42no—
724D4×C59—42no—
725D4×C59—81no—
726D4×C59C2×#4112yes—
727C2×C4×C59—21no—
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—42no—
736C2×C4×C59—42no—
737C2×C4×C59—42no—
738C2×C4×C59C22×D411yescharacteristic
739C2×C4×C59C22×D411yescharacteristic
740C2×C4×C59C22×D411yescharacteristic
741C2×C4×C59C22×D411yescharacteristic
742C2×C4×C59C2511yescharacteristic
743C22⋊D59—22no—
744C22⋊D59—41no—
745C22⋊D59—42no—
746C22⋊D59—42no—
747C22⋊D59—81no—
748C22⋊D59—81no—
749C2×Dic59—22no—
750C2×Dic59—22no—
751C2×Dic59—22no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—41no—
761C2×Dic59—42no—
762C2×Dic59—42no—
763C2×Dic59—42no—
764C2×Dic59—42no—
765C2×Dic59—42no—
766C2×Dic59—42no—
767C2×Dic59—42no—
768C2×Dic59—81no—
769C2×Dic59—81no—
770C2×Dic59—81no—
771C2×Dic59—81no—
772C2×Dic59—81no—
773C2×Dic59—81no—
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C4×D59—21no—
782C4×D59—21no—
783C4×D59—22no—
784C4×D59—41no—
785C4×D59—42no—
786C4×D59—42no—
787Dic118—21no—
788Dic118—21no—
789Dic118—21no—
790Dic118—21no—
791Dic118—41no—
792Dic118—42no—
793Dic118—42no—
794Dic118—81no—
795C8×C59—21no—
796C8×C59—21no—
797C8×C59—21no—
798C8×C59C2×#4112yes—
799C59⋊C8—21no—
800C59⋊C8—21no—
801C59⋊C8—21no—
802C59⋊C8—21no—
803#61445—591nomaximal, Sylow
804C22×C59—21no—
805C22×C59—21no—
806C22×C59—22no—
807C22×C59—21no—
808C22×C59—21no—
809C22×C59—21no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—84no—
822C22×C59—84no—
823C22×C59#57512yes—
824C22×C59C23×D411yescharacteristic
825C2×D59—21no—
826C2×D59—21no—
827C2×D59—21no—
828C4×C59—22no—
829C4×C59—21no—
830C4×C59—21no—
831C4×C59—21no—
832C4×C59—21no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836C4×C59C22×#4111yescharacteristic
837C4×C59#58511yescharacteristic
838Dic59—21no—
839Dic59—21no—
840Dic59—21no—
841Dic59—21no—
842Dic59—21no—
843Dic59—21no—
844Dic59—41no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59—41no—
849Dic59—41no—
850Dic59—41no—
851Dic59—41no—
852Dic59#57712yes—
853#3482—591no—
854#3481—591no—
855#3401—591no—
856#3388—591no—
857#3376—591no—
858#3371—591no—
859#3351—591no—
860#3345—591no—
861#3344—591no—
862#3326—591no—
863#3323—591no—
864#3320—591no—
865#3316—591no—
866#3310—591no—
867#3306—591no—
868#3275—591no—
869#3266—591no—
870#3265D5911yescharacteristic, complemented
871#3172—591no—
872#3171—591no—
873#3168—591no—
874#3108—591no—
875#3105—591no—
876#3103—591no—
877#3102—591no—
878#3102—591no—
879#3101—591no—
880#2965—591no—
881C4×#137—591no—
882C4×AGL(1,ℤ/8)—591no—
883C2×C4×SD16—591no—
884C2×C59—22no—
885C2×C59—41no—
886C2×C59—42no—
887C2×C59—81no—
888C2×C59—81no—
889C2×C59—81no—
890C2×C59D4×#4111yescharacteristic
891C2×C59C2×#57511yescharacteristic
892C2×C59C2×#57711yescharacteristic
893D59—41no—
894C2×#137—591no—
895C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
896C22×SD16C2×D5911yescharacteristic
897#559—591no—
898#557—591no—
899#556—591no—
900#556—1181no—
901#554—591no—
902#554—591no—
903#553—591no—
904#553—591no—
905#553—1181no—
906#552—591no—
907#552—591no—
908#552—1181no—
909#552—1181no—
910#551—1181no—
911#551—1181no—
912D4×Q8—591no—
913#548—591no—
914#548C2×D5911yescharacteristic
915#547—591no—
916#547—1181no—
917#546—591no—
918#546—591no—
919#546—1181no—
920D42C2×D5911yescharacteristic
921#533—591no—
922#533—1181no—
923#532—591no—
924#529—591no—
925#529—591no—
926#529—591no—
927#529—591no—
928#529—1181no—
929#529—1181no—
930#529—1181no—
931#525—1181no—
932#525—1181no—
933C4×#41—591no—
934C4×#41—591no—
935C4×#41—591no—
936C4×#41—1181no—
937C2×C4×Q8—591no—
938C2×C4×Q8—591no—
939C2×C4×D4—591no—
940C2×C4×D4—591no—
941C2×C4×D4—1181no—
942#501—591no—
943#501—591no—
944#499—591no—
945#497—591no—
946#496C2×D5911yescharacteristic
947#495—591no—
948#491—591no—
949#490—591no—
950#489—591no—
951#489—591no—
952#488—591no—
953#488—591no—
954#485—591no—
955#485—591no—
956#484—591no—
957#483—591no—
958#483—591no—
959#483—591no—
960#482—591no—
961#482—591no—
962#481—591no—
963#481—591no—
964#481—591no—
965#480—591no—
966#479—591no—
967#479—591no—
968#479—591no—
969#479—591no—
970#478—591no—
971#478—591no—
972#478—591no—
973#478—591no—
974#476—591no—
975#476—591no—
976#475—591no—
977#475—591no—
978#470—591no—
979#470—591no—
980#469—591no—
981#469—591no—
982#468—591no—
983#468—591no—
984#468—591no—
985#468C2×D5911yescharacteristic
986#467—591no—
987#466C2×D5911yescharacteristic
988#465—591no—
989#465—591no—
990#464—591no—
991#464—591no—
992#464—591no—
993#464—591no—
994#463—591no—
995#463—591no—
996#463—591no—
997#463C2×D5911yescharacteristic
998#461—591no—
999#461—591no—
1000#460—591no—
1001#460C2×D5911yescharacteristic
1002#452—591no—
1003#452—591no—
1004#451—591no—
1005#450—591no—
1006#450—591no—
1007#450C2×D5911yescharacteristic
1008#449—591no—
1009#449C2×D5911yescharacteristic
1010#448—591no—
1011#448—591no—
1012#448C2×D5911yescharacteristic
1013#447C2×D5911yescharacteristic
1014#446—591no—
1015#446—591no—
1016#442—591no—
1017#442—591no—
1018#441—591no—
1019#441—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440C2×D5911yescharacteristic
1024C4×Q16—591no—
1025C4×Q16—591no—
1026C4×Q16—591no—
1027C4×SD16—591no—
1028C4×SD16—591no—
1029C4×SD16—591no—
1030C4×SD16—591no—
1031C4×SD16—591no—
1032C4×SD16—591no—
1033C4×SD16—591no—
1034C4×SD16—591no—
1035C4×SD16—591no—
1036C4×SD16—591no—
1037C4×SD16—591no—
1038C4×SD16—591no—
1039C4×SD16—591no—
1040C4×SD16—591no—
1041C4×D8—591no—
1042C4×D8—591no—
1043C4×D8—591no—
1044#436—591no—
1045#436—591no—
1046#435—591no—
1047#435—591no—
1048#435—591no—
1049#435C2×D5911yescharacteristic
1050#431—591no—
1051#431—591no—
1052#431—591no—
1053#428—591no—
1054#428—591no—
1055C2×#106—591no—
1056#419—591no—
1057#418—591no—
1058#417—591no—
1059#417—591no—
1060C2×#103—591no—
1061C2×#102—591no—
1062C4×M16—591no—
1063C4×M16—591no—
1064C2×C4×C8—591no—
1065C59#6144511yescharacteristic, complemented, Sylow
1066C2×#41—591no—
1067C2×#41—591no—
1068C2×#41—1181no—
1069C2×#41—1181no—
1070C2×#41C22×D5911yescharacteristic
1071C22×Q8—591no—
1072C22×Q8C22×D5911yescharacteristic
1073C22×D4—21no—
1074C22×D4C22×D5911yescharacteristic
1075C22×D4C22×D5911yescharacteristic
1076C23×C4—1181no—
1077C23×C4—1181no—
1078#137—1184no—
1079AGL(1,ℤ/8)—24no—
1080C2×Q16—591no—
1081C2×Q16—591no—
1082C2×Q16—591no—
1083C2×SD16—24no—
1084C2×SD16—591no—
1085C2×SD16—591no—
1086C2×SD16—591no—
1087C2×SD16—591no—
1088C2×SD16C22×D5911yescharacteristic
1089C2×SD16C22×D5911yescharacteristic
1090C2×SD16C22×D5911yescharacteristic
1091C2×SD16C22×D5911yescharacteristic
1092C2×SD16C22×D5911yescharacteristic
1093C2×SD16C22×D5911yescharacteristic
1094C2×D8C22×D5911yescharacteristic
1095C2×D8C22×D5911yescharacteristic
1096C2×D8C22×D5911yescharacteristic
1097C2×M16—591no—
1098C2×M16—591no—
1099C2×M16—591no—
1100C2×M16C22×D5911yescharacteristic
1101C22×C8—591no—
1102C22×C8C22×D5911yescharacteristic
1103C4⋊Q8—591no—
1104C4⋊Q8—591no—
1105C4⋊Q8—591no—
1106C4⋊Q8—1181no—
1107C4⋊Q8—1181no—
1108#127C22×D5911yescharacteristic
1109#126—1181no—
1110#126—1181no—
1111#126—1181no—
1112#126—1181no—
1113#126—1181no—
1114#126—1181no—
1115#126—1181no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#125—591no—
1120#125—591no—
1121#125—591no—
1122#125—591no—
1123#125—1181no—
1124#125—1181no—
1125#125—1181no—
1126#125—1181no—
1127#125—1181no—
1128#125—1181no—
1129#124—21no—
1130#124—591no—
1131#124—591no—
1132#124—591no—
1133#124—1181no—
1134#124—1181no—
1135#124—1181no—
1136#124C22×D5911yescharacteristic
1137#123—1181no—
1138#123—1181no—
1139#123—1181no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143#123—1181no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151C22⋊Q8—21no—
1152C22⋊Q8—591no—
1153C22⋊Q8—591no—
1154C22⋊Q8—591no—
1155C22⋊Q8—591no—
1156C22⋊Q8—591no—
1157C22⋊Q8—1181no—
1158C22⋊Q8—1181no—
1159C22⋊Q8—1181no—
1160C22⋊Q8—1181no—
1161C22⋊Q8—1181no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8C22×D5911yescharacteristic
1169#121—21no—
1170#121—21no—
1171#121—591no—
1172#121—591no—
1173#121—591no—
1174#121—1181no—
1175#121—1181no—
1176#121—1181no—
1177#121—1181no—
1178#121—1181no—
1179#121—1181no—
1180#121C22×D5911yescharacteristic
1181#121C22×D5911yescharacteristic
1182#121C22×D5911yescharacteristic
1183#120—21no—
1184#120—21no—
1185#120—1181no—
1186#120—1181no—
1187C4×Q8—591no—
1188C4×Q8—591no—
1189C4×Q8—591no—
1190C4×Q8—591no—
1191C4×Q8—591no—
1192C4×Q8—591no—
1193C4×Q8—591no—
1194C4×Q8—591no—
1195C4×Q8—591no—
1196C4×Q8—591no—
1197C4×Q8—591no—
1198C4×Q8—1181no—
1199C4×Q8—1181no—
1200C4×Q8—1181no—
1201C4×Q8—1181no—
1202C4×Q8—1181no—
1203C4×Q8—1181no—
1204C4×Q8C22×D5911yescharacteristic
1205C4×D4—21no—
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—1181no—
1221C4×D4—1181no—
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×D4C22×D5911yescharacteristic
1240C4×D4C22×D5911yescharacteristic
1241#117—591no—
1242#117—591no—
1243#117—591no—
1244#117—591no—
1245#117—591no—
1246#117—1181no—
1247#117—1181no—
1248#117—1181no—
1249#117—1181no—
1250#117—1181no—
1251#117—1181no—
1252#117—1181no—
1253#117—1181no—
1254#117—1181no—
1255#117—1181no—
1256C2×C4⋊C4—591no—
1257C2×C4⋊C4—591no—
1258C2×C4⋊C4—591no—
1259C2×C4⋊C4—591no—
1260C2×C4⋊C4—1181no—
1261C2×C4⋊C4—1181no—
1262C2×C4⋊C4—1181no—
1263C2×C22⋊C4—1181no—
1264C2×C22⋊C4—1181no—
1265C2×C22⋊C4—1181no—
1266C2×C22⋊C4—1181no—
1267C2×C42—591no—
1268C2×C42—591no—
1269C2×C42—591no—
1270C2×C42—1181no—
1271C2×C42—1181no—
1272C2×C42—1181no—
1273C2×C42—1181no—
1274#107—591no—
1275#107—591no—
1276#107—591no—
1277#107—591no—
1278#107—591no—
1279#107C22×D5911yescharacteristic
1280#106—591no—
1281#106—591no—
1282#106—591no—
1283#106—591no—
1284#106—591no—
1285#106—591no—
1286#106—591no—
1287#106—591no—
1288#106—591no—
1289#106—591no—
1290C4⋊C8—591no—
1291C4⋊C8—591no—
1292C4⋊C8—591no—
1293C4⋊C8—591no—
1294C4⋊C8—591no—
1295C4⋊C8C22×D5911yescharacteristic
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103—591no—
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103C22×D5911yescharacteristic
1311#103C22×D5911yescharacteristic
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
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#102C22×D5911yescharacteristic
1325#102C22×D5911yescharacteristic
1326#102C22×D5911yescharacteristic
1327#102C22×D5911yescharacteristic
1328C22⋊C8—591no—
1329C22⋊C8—591no—
1330C22⋊C8—591no—
1331C22⋊C8—591no—
1332C22⋊C8C22×D5911yescharacteristic
1333C22⋊C8C22×D5911yescharacteristic
1334#97—591no—
1335#97—591no—
1336#97—591no—
1337#97C22×D5911yescharacteristic
1338C4×C8—591no—
1339C4×C8—591no—
1340C4×C8—591no—
1341C4×C8—591no—
1342C4×C8—591no—
1343C4×C8—591no—
1344C24—21no—
1345C24—21no—
1346#41—22no—
1347#41—41no—
1348#41—1182no—
1349#41—4722no—
1350#41—2362no—
1351#41—2361no—
1352#41—2364no—
1353C2×Q8—21no—
1354C2×Q8—22no—
1355C2×Q8—41no—
1356C2×Q8—591no—
1357C2×Q8—591no—
1358C2×Q8—591no—
1359C2×Q8—1181no—
1360C2×Q8—1181no—
1361C2×Q8—1181no—
1362C2×Q8—1182no—
1363C2×Q8—2361no—
1364C2×Q8C23×D5911yescharacteristic
1365C2×Q8C23×D5911yescharacteristic
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—44no—
1379C2×D4—591no—
1380C2×D4—591no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4D4×D5911yescharacteristic
1386C2×D4C23×D5911yescharacteristic
1387C2×D4C23×D5911yescharacteristic
1388C2×D4C23×D5911yescharacteristic
1389C2×D4C23×D5911yescharacteristic
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—591no—
1394C22×C4—591no—
1395C22×C4—591no—
1396C22×C4—591no—
1397C22×C4—591no—
1398C22×C4—591no—
1399C22×C4—591no—
1400C22×C4—1181no—
1401C22×C4—1181no—
1402C22×C4—1181no—
1403C22×C4—1181no—
1404C22×C4—1181no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—1181no—
1408C22×C4—1181no—
1409C22×C4—1181no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—4722no—
1416C22×C4—4722no—
1417C22×C4C23×D5911yescharacteristic
1418C22×C4C23×D5911yescharacteristic
1419Q16—1182no—
1420Q16—1182no—
1421Q16—2361no—
1422SD16—22no—
1423SD16—22no—
1424SD16—22no—
1425SD16—22no—
1426SD16—41no—
1427SD16—1182no—
1428SD16—2361no—
1429SD16—2361no—
1430SD16—2361no—
1431SD16#1174568714yescomplemented
1432D8—22no—
1433D8—22no—
1434D8—41no—
1435M16—22no—
1436M16—1182no—
1437M16—2361no—
1438M16—2361no—
1439C2×C8—22no—
1440C2×C8—591no—
1441C2×C8—591no—
1442C2×C8—591no—
1443C2×C8—591no—
1444C2×C8—2361no—
1445C2×C8C23×D5911yescharacteristic
1446C2×C8C23×D5911yescharacteristic
1447C2×C8C23×D5911yescharacteristic
1448C2×C8C23×D5911yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—591no—
1452C4⋊C4—591no—
1453C4⋊C4—591no—
1454C4⋊C4—591no—
1455C4⋊C4—591no—
1456C4⋊C4—591no—
1457C4⋊C4—591no—
1458C4⋊C4—591no—
1459C4⋊C4—591no—
1460C4⋊C4—591no—
1461C4⋊C4—591no—
1462C4⋊C4—1181no—
1463C4⋊C4—1181no—
1464C4⋊C4—1181no—
1465C4⋊C4—1181no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1493C4⋊C4C23×D5911yescharacteristic
1494C4⋊C4C23×D5911yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—591no—
1503C22⋊C4—591no—
1504C22⋊C4—591no—
1505C22⋊C4—591no—
1506C22⋊C4—1181no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1532C22⋊C4D4×D5911yescharacteristic
1533C42—21no—
1534C42—591no—
1535C42—591no—
1536C42—591no—
1537C42—591no—
1538C42—591no—
1539C42—591no—
1540C42—591no—
1541C42—591no—
1542C42—591no—
1543C42—1181no—
1544C42—1181no—
1545C42—1181no—
1546C42—1181no—
1547C42—1181no—
1548C42—1181no—
1549C42—1181no—
1550C42—1181no—
1551C42—1181no—
1552C42—1181no—
1553C42—1181no—
1554C42C23×D5911yescharacteristic
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—42no—
1560C23—42no—
1561C23—42no—
1562C23—42no—
1563C23—81no—
1564C23—81no—
1565C23—591no—
1566C23C2×D4×D5911yescharacteristic
1567C23C2×D4×D5911yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—42no—
1572Q8—1181no—
1573Q8—1181no—
1574Q8—1181no—
1575Q8—1181no—
1576Q8—4721no—
1577Q8—2361no—
1578Q8—2362no—
1579Q8—2362no—
1580Q8C2×#1174568712yes—
1581D4—22no—
1582D4—21no—
1583D4—21no—
1584D4—21no—
1585D4—21no—
1586D4—21no—
1587D4—21no—
1588D4—21no—
1589D4—42no—
1590D4—42no—
1591D4—42no—
1592D4—42no—
1593D4—42no—
1594D4—42no—
1595D4—42no—
1596D4—81no—
1597D4—1182no—
1598D4—4721no—
1599D4—4721no—
1600D4—2361no—
1601D4—2362no—
1602D4—2362no—
1603D4C2×#1174568712yes—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—42no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—591no—
1616C2×C4—591no—
1617C2×C4—591no—
1618C2×C4—591no—
1619C2×C4—591no—
1620C2×C4—591no—
1621C2×C4—591no—
1622C2×C4—1182no—
1623C2×C4—1182no—
1624C2×C4—1182no—
1625C2×C4—1182no—
1626C2×C4—1181no—
1627C2×C4—1181no—
1628C2×C4—1181no—
1629C2×C4—1181no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—4721no—
1637C2×C4—4721no—
1638C2×C4—4721no—
1639C2×C4—4721no—
1640C2×C4—4721no—
1641C2×C4—4721no—
1642C2×C4—2361no—
1643C2×C4—2362no—
1644C2×C4—2362no—
1645C2×C4—2362no—
1646C2×C4—2362no—
1647C2×C4—2362no—
1648C2×C4—2362no—
1649C2×C4—2361no—
1650C2×C4—2362no—
1651C2×C4—2362no—
1652C2×C4—2362no—
1653C2×C4C2×D4×D5911yescharacteristic
1654C2×C4C2×D4×D5911yescharacteristic
1655C2×C4C2×D4×D5911yescharacteristic
1656C2×C4C2×D4×D5911yescharacteristic
1657C2×C4C24×D5911yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—1181no—
1662C8—1181no—
1663C8—1181no—
1664C8—1181no—
1665C8C2×#1174568712yes—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—22no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—84no—
1684C22—84no—
1685C22—1181no—
1686C22—1181no—
1687C22—1181no—
1688C22#1683819812yes—
1689C22C22×D4×D5911yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—22no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—592no—
1699C4—1181no—
1700C4—1181no—
1701C4—1181no—
1702C4—1181no—
1703C4—1181no—
1704C4—1181no—
1705C4—2361no—
1706C4—2361no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C4—2361no—
1711C4—2361no—
1712C4—2361no—
1713C4C22×#1174568711yescharacteristic
1714C4#1683823711yescharacteristic
1715C2—22no—
1716C2—41no—
1717C2—42no—
1718C2—81no—
1719C2—81no—
1720C2—81no—
1721C2—2361no—
1722C2D4×#1174568711yescharacteristic
1723C2C2×#1683819811yescharacteristic
1724C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3265C2
socleC22×C59C23×D4
hypercenter#3265D59
hypocenterC59#61445
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. #21437712C2semidirect
2. #21437697C2semidirect
3. #21437157C2semidirect
4. #21437046C2semidirect
5. #21436920C2semidirect
6. #21436857C2semidirect
7. #21436651C2semidirect
8. #21436572C2semidirect
9. #21436553C2semidirect
10. #21436342C2semidirect
11. #21436316C2semidirect
12. #21436271C2semidirect
13. #21436207C2semidirect
14. #21436117C2semidirect
15. #21436061C2semidirect
16. #21435727C2semidirect
17. #21435606C2semidirect
18. #21434695C2semidirect
19. #21434688C2semidirect
20. #21434661C2semidirect
21. #21434171C2semidirect
22. #21434138C2semidirect
23. #21434126C2semidirect
24. #21434111C2semidirect
25. #21434107C2semidirect
26. #21434099C2semidirect
27. #21433056C2semidirect
28. #21432918C2semidirect
29. AGL(1,ℤ/8)×Dic59C2semidirect
30. C2×SD16×Dic59C2semidirect
31. C59×#3265C2semidirect
34. #16838128C22semidirect
36. #16838121C22semidirect
45. #16838086C22semidirect
48. Q8×C22⋊D59C22semidirect
49. #16838059C22semidirect
51. #16838052C22semidirect
56. #16837954C22semidirect
62. #16837933C22semidirect
64. #16837931C22semidirect
67. #41×Dic59C22semidirect
71. C2×Q8×Dic59C22semidirect
72. C4×Q8×D59C22semidirect
76. #16837811C22semidirect
77. #16837810C22semidirect
78. #16837803C22semidirect
79. #16837793C22semidirect
80. #16837785C22semidirect
81. #16837769C22semidirect
83. #16837761C22semidirect
84. #16837760C22semidirect
85. #16837755C22semidirect
86. #16837755C22semidirect
87. #16837744C22semidirect
88. #16837742C22semidirect
89. #16837738C22semidirect
90. #16837733C22semidirect
91. #16837733C22semidirect
92. #16837730C22semidirect
93. #16837725C22semidirect
95. #16837719C22semidirect
96. #16837719C22semidirect
97. #16837718C22semidirect
99. #16837711C22semidirect
100. #16837710C22semidirect
101. #16837707C22semidirect
102. #16837707C22semidirect
103. #16837704C22semidirect
106. #16837700C22semidirect
108. #16837690C22semidirect
109. #16837688C22semidirect
110. #16837687C22semidirect
111. #16837660C22semidirect
112. #16837658C22semidirect
113. #16837652C22semidirect
114. #16837652C22semidirect
116. #16837645C22semidirect
117. #16837645C22semidirect
118. #16837643C22semidirect
120. #16837629C22semidirect
121. #16837622C22semidirect
122. #16837622C22semidirect
123. #16837622C22semidirect
124. #16837621C22semidirect
126. #16837615C22semidirect
127. #16837615C22semidirect
129. #16837605C22semidirect
131. #16837564C22semidirect
133. #16837558C22semidirect
137. #16837539C22semidirect
138. #16837539C22semidirect
139. #16837531C22semidirect
140. #16837530C22semidirect
142. #16837514C22semidirect
143. #16837510C22semidirect
144. #16837507C22semidirect
146. #16837503C22semidirect
148. #16837496C22semidirect
149. #16837494C22semidirect
150. #16837494C22semidirect
152. #16837493C22semidirect
153. #16837493C22semidirect
154. #16837493C22semidirect
159. SD16×Dic59C22semidirect
160. SD16×Dic59C22semidirect
161. SD16×Dic59C22semidirect
162. SD16×Dic59C22semidirect
163. SD16×Dic59C22semidirect
164. SD16×Dic59C22semidirect
166. D8×Dic59C22semidirect
167. D8×Dic59C22semidirect
168. #16837478C22semidirect
169. #16837477C22semidirect
171. #16837473C22semidirect
172. #16837470C22semidirect
173. #16837454C22semidirect
174. #16837452C22semidirect
175. #16837452C22semidirect
176. #16837444C22semidirect
177. #16837443C22semidirect
178. C2×#14273659C22semidirect
179. #16837409C22semidirect
181. #16837403C22semidirect
183. C2×#14273651C22semidirect
185. #16837354C22semidirect
186. M16×Dic59C22semidirect
187. C2×C8×Dic59C22semidirect
561. SD16×C59#41semidirect
870. #3265D59semidirect
1065. C59#61445semidirect
1431. SD16#11745687semidirect

Maximal subgroups

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

subgroupindex
#214377122
#214376972
#214371572
#214370462
#214369202
#214368572
#214366512
#214365722
#214365532
#214363422
#214363162
#214362712
#214362072
#214361172
#214360612
#214357272
#214356062
#214346952
#214346882
#214346612
#214341712
#214341382
#214341262
#214341112
#214341072
#214340992
#214330562
#214329182
AGL(1,ℤ/8)×Dic592
C2×SD16×Dic592
C59×#32652
#6144559