Finite Group Databasebeta

← #29470321

Subgroups — #29470321

Order 15104.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437686C211yesmaximal, characteristic, complemented
2D4×#11745687C211yesmaximal, characteristic, complemented
3#21437135C211yesmaximal, characteristic, complemented
4#21437018C211yesmaximal, characteristic, complemented
5#21436883C211yesmaximal, characteristic, complemented
6#21436820C211yesmaximal, characteristic, complemented
7#21436675C211yesmaximal, characteristic, complemented
8#21436572C211yesmaximal, characteristic, complemented
9#21436568C211yesmaximal, characteristic, complemented
10#21436416C211yesmaximal, characteristic, complemented
11#21436320C211yesmaximal, characteristic, complemented
12#21436241C211yesmaximal, characteristic, complemented
13#21436237C211yesmaximal, characteristic, complemented
14#21436091C211yesmaximal, characteristic, complemented
15#21436087C211yesmaximal, characteristic, complemented
16#21435710C211yesmaximal, characteristic, complemented
17#21435591C211yesmaximal, characteristic, complemented
18#21434688C211yesmaximal, characteristic, complemented
19#21434684C211yesmaximal, characteristic, complemented
20#21434670C211yesmaximal, characteristic, complemented
21#21434155C211yesmaximal, characteristic, complemented
22#21434149C211yesmaximal, characteristic, complemented
23#21434144C211yesmaximal, characteristic, complemented
24#21434142C211yesmaximal, characteristic, complemented
25#21434122C211yesmaximal, characteristic, complemented
26#21434091C211yesmaximal, characteristic, complemented
27#21433056C211yesmaximal, characteristic, complemented
28AGL(1,ℤ/8)×Dic59C211yesmaximal, characteristic, complemented
29#21432901C211yesmaximal, characteristic, complemented
30C2×SD16×Dic59C211yesmaximal, characteristic, complemented
31C59×#3265C211yesmaximal, characteristic, complemented
32C22×#11745687—21no—
33C2×#14273754C2211yescharacteristic
34#16838134—21no—
35#16838134C2211yescharacteristic, complemented
36#16838128C2211yescharacteristic, complemented
37#16838123—21no—
38#16838123C2211yescharacteristic, complemented
39#16838104—21no—
40#16838104C2211yescharacteristic, complemented
41#16838098—21no—
42#16838098C2211yescharacteristic, complemented
43#16838072C2211yescharacteristic
44#16838071C2211yescharacteristic, complemented
45D4×Dic118C2211yescharacteristic
46#16838063C2211yescharacteristic, complemented
47#16838058—21no—
48#16838056C2211yescharacteristic
49#16838052C2211yescharacteristic
50#16838052C2211yescharacteristic
51#16838046—21no—
52#16838039—21no—
53#16838039—21no—
54D4×C22⋊D59C2211yescharacteristic
55D4×C22⋊D59C2211yescharacteristic
56#16837950C2211yescharacteristic
57#16837947—21no—
58#16837947C2211yescharacteristic
59#16837947C2211yescharacteristic
60#16837947C2211yescharacteristic, complemented
61#16837938—21no—
62#16837938C2211yescharacteristic, complemented
63#16837931—21no—
64#16837931C2211yescharacteristic, complemented
65#16837912—21no—
66#16837908—21no—
67#16837908—21no—
68#41×Dic59C2211yescharacteristic, complemented
69C4×#11745689C2211yescharacteristic, complemented
70C4×#11745687—21no—
71C4×#11745687C2211yescharacteristic
72C2×Q8×Dic59C2211yescharacteristic, complemented
73C2×D4×Dic59C2211yescharacteristic
74C2×D4×Dic59C2211yescharacteristic
75C4×D4×D59C2211yescharacteristic
76#16837811C2211yescharacteristic, complemented
77#16837810C2211yescharacteristic, complemented
78#16837806C2211yescharacteristic, complemented
79#16837788C2211yescharacteristic, complemented
80#16837777C2211yescharacteristic, complemented
81#16837766C2211yescharacteristic, complemented
82#16837765C2211yescharacteristic, complemented
83#16837763C2211yescharacteristic, complemented
84#16837761C2211yescharacteristic, complemented
85#16837747C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837736C2211yescharacteristic, complemented
88#16837735C2211yescharacteristic, complemented
89#16837727C2211yescharacteristic, complemented
90#16837725C2211yescharacteristic, complemented
91#16837725C2211yescharacteristic, complemented
92#16837723C2211yescharacteristic, complemented
93#16837721C2211yescharacteristic, complemented
94#16837721C2211yescharacteristic, complemented
95#16837719C2211yescharacteristic, complemented
96#16837718C2211yescharacteristic, complemented
97#16837716C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic, complemented
99#16837704C2211yescharacteristic
100#16837704C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic, complemented
102#16837702C2211yescharacteristic
103#16837697C2211yescharacteristic, complemented
104#16837695C2211yescharacteristic, complemented
105#16837693C2211yescharacteristic, complemented
106#16837690C2211yescharacteristic, complemented
107#16837685C2211yescharacteristic, complemented
108#16837685C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic
110#16837680C2211yescharacteristic, complemented
111#16837655C2211yescharacteristic, complemented
112#16837653C2211yescharacteristic, complemented
113#16837652C2211yescharacteristic, complemented
114#16837652C2211yescharacteristic, complemented
115#16837650C2211yescharacteristic, complemented
116#16837645C2211yescharacteristic, complemented
117#16837645C2211yescharacteristic, complemented
118#16837638C2211yescharacteristic, complemented
119#16837636C2211yescharacteristic, complemented
120#16837636C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic
122#16837619C2211yescharacteristic, complemented
123#16837614C2211yescharacteristic, complemented
124#16837600C2211yescharacteristic, complemented
125#16837600C2211yescharacteristic, complemented
126#16837600C2211yescharacteristic, complemented
127#16837595C2211yescharacteristic
128#16837595C2211yescharacteristic, complemented
129#16837595C2211yescharacteristic, complemented
130#16837594C2211yescharacteristic, complemented
131#16837551C2211yescharacteristic
132#16837547C2211yescharacteristic, complemented
133#16837546C2211yescharacteristic, complemented
134#16837546C2211yescharacteristic, complemented
135#16837541C2211yescharacteristic, complemented
136#16837536C2211yescharacteristic
137#16837536C2211yescharacteristic
138#16837534C2211yescharacteristic
139#16837531C2211yescharacteristic, complemented
140#16837530C2211yescharacteristic, complemented
141#16837515C2211yescharacteristic, complemented
142#16837514C2211yescharacteristic
143#16837514C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic
145#16837503C2211yescharacteristic
146#16837503C2211yescharacteristic, complemented
147#16837500C2211yescharacteristic, complemented
148SD16×Dic59C2211yescharacteristic
149SD16×Dic59C2211yescharacteristic
150SD16×Dic59C2211yescharacteristic
151SD16×Dic59C2211yescharacteristic
152SD16×Dic59C2211yescharacteristic, complemented
153SD16×Dic59C2211yescharacteristic, complemented
154SD16×Dic59C2211yescharacteristic, complemented
155SD16×Dic59C2211yescharacteristic, complemented
156SD16×Dic59C2211yescharacteristic, complemented
157SD16×Dic59C2211yescharacteristic, complemented
158#16837487C2211yescharacteristic, complemented
159#16837487C2211yescharacteristic, complemented
160D8×Dic59C2211yescharacteristic
161D8×Dic59C2211yescharacteristic, complemented
162D8×Dic59C2211yescharacteristic, complemented
163#16837484C2211yescharacteristic, complemented
164#16837482C2211yescharacteristic
165#16837482C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837482C2211yescharacteristic, complemented
168#16837478C2211yescharacteristic, complemented
169#16837477C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic, complemented
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#16837407C2211yescharacteristic
180#16837405C2211yescharacteristic
181#16837403C2211yescharacteristic, complemented
182#16837402C2211yescharacteristic, complemented
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, complemented
191D42×C59C2211yescharacteristic
192C59×#496C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic
198C59×#449C2211yescharacteristic, complemented
199C59×#448C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic
201C59×#440C2211yescharacteristic
202C59×#435C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687—21no—
206C2×#11745687—21no—
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687—21no—
212C2×#11745687—48no—
213C2×#11745687D411yescharacteristic
214C22×Dic118—21no—
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C2×D4×D59C2311yescharacteristic
218C23×Dic59—21no—
219C23×Dic59—21no—
220C22×C4×D59—21no—
221#14273754—24no—
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×D472C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745664C2311yescharacteristic
230C2×#11745659C2311yescharacteristic
231C2×#11745659C2311yescharacteristic
232C22×C59⋊C8C2311yescharacteristic
233#14273727C2311yescharacteristic
234#14273726—21no—
235#14273726C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273723—21no—
239#14273723C2311yescharacteristic
240#14273723C2311yescharacteristic
241#14273723C2311yescharacteristic
242#14273722—21no—
243#14273722—21no—
244#14273722—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273719—21no—
249#14273719C2311yescharacteristic
250#14273718—21no—
251#14273718C2311yescharacteristic
252#14273716—21no—
253#14273716C2311yescharacteristic
254#14273714—21no—
255#14273713—21no—
256#14273713—21no—
257#14273713—21no—
258#14273713—21no—
259#14273713—21no—
260#14273711—21no—
261#14273711—21no—
262#14273711—21no—
263#14273711—21no—
264#14273711—21no—
265#14273709—21no—
266#14273709—21no—
267#14273709—21no—
268#14273709—21no—
269#14273709—21no—
270#14273708—21no—
271#14273708—21no—
272#14273707—21no—
273#14273706—21no—
274#14273704—21no—
275#14273704—21no—
276#14273704—21no—
277#14273704—21no—
278#14273703—21no—
279#14273703C2311yescharacteristic
280#14273701—21no—
281#14273701—21no—
282#14273701C2311yescharacteristic
283#14273701C2311yescharacteristic
284#14273701C2311yescharacteristic
285#14273701C2311yescharacteristic
286#14273699—21no—
287#14273699—21no—
288#14273699—21no—
289#14273699—21no—
290#14273699—21no—
291#14273699—21no—
292#14273699—21no—
293#14273699—21no—
294#14273699—21no—
295#14273698—21no—
296#14273698—21no—
297#14273698—21no—
298#14273698C2311yescharacteristic
299#14273698C2311yescharacteristic
300#14273698C2311yescharacteristic
301#14273696—21no—
302#14273696—21no—
303#14273695—21no—
304#14273695—21no—
305Q8×Dic59—21no—
306Q8×Dic59—21no—
307Q8×Dic59C2311yescharacteristic
308Q8×Dic59C2311yescharacteristic
309Q8×Dic59C2311yescharacteristic
310Q8×Dic59C2311yescharacteristic
311Q8×Dic59C2311yescharacteristic
312C4×Dic118—21no—
313C4×Dic118C2311yescharacteristic
314#14273692—21no—
315#14273692D411yescharacteristic
316C4×D236—21no—
317C4×D236C2311yescharacteristic
318C4×D236C2311yescharacteristic
319D4×Dic59—21no—
320D4×Dic59—21no—
321D4×Dic59—21no—
322D4×Dic59—21no—
323D4×Dic59—21no—
324D4×Dic59—21no—
325D4×Dic59—21no—
326D4×Dic59—21no—
327D4×Dic59D411yescharacteristic
328D4×Dic59C2311yescharacteristic
329D4×Dic59C2311yescharacteristic
330D4×Dic59C2311yescharacteristic
331D4×Dic59C2311yescharacteristic
332D4×Dic59C2311yescharacteristic
333D4×Dic59C2311yescharacteristic
334D4×Dic59C2311yescharacteristic
335D4×Dic59C2311yescharacteristic
336D4×Dic59C2311yescharacteristic
337#14273689—21no—
338#14273689C2311yescharacteristic
339#14273689C2311yescharacteristic
340C4×C22⋊D59—21no—
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59C2311yescharacteristic
344C4×C22⋊D59C2311yescharacteristic
345(C22⋊D59)⋊C4—21no—
346(C22⋊D59)⋊C4—21no—
347(C22⋊D59)⋊C4—21no—
348(C22⋊D59)⋊C4—21no—
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4D411yescharacteristic
354(C22⋊D59)⋊C4D411yescharacteristic
355#14273686—21no—
356#14273686C2311yescharacteristic
357#14273685—21no—
358#14273685—21no—
359#14273685D411yescharacteristic
360#14273685C2311yescharacteristic
361#14273683—21no—
362#14273683D411yescharacteristic
363#14273683D411yescharacteristic
364C2×C4⋊Dic59—21no—
365C2×C4⋊Dic59C2311yescharacteristic
366C2×C4⋊Dic59C2311yescharacteristic
367C2×C4⋊Dic59C2311yescharacteristic
368C4⋊C4×D59C2311yescharacteristic
369C2×C22⋊Dic59—21no—
370C2×C22⋊Dic59—21no—
371C22⋊C4×D59—21no—
372C2×C4×Dic59—21no—
373C2×C4×Dic59—21no—
374C2×C4×Dic59C2311yescharacteristic
375C2×C4×Dic59C2311yescharacteristic
376C42×D59—21no—
377C42×D59C2311yescharacteristic
378#14273661C2311yescharacteristic
379#14273661C2311yescharacteristic
380#14273661C2311yescharacteristic
381#14273660C2311yescharacteristic
382#14273660C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273660C2311yescharacteristic
385#14273659C2311yescharacteristic
386#14273659C2311yescharacteristic
387#14273659C2311yescharacteristic
388#14273659C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393C4⋊(C59⋊C8)C2311yescharacteristic
394Dic59⋊C8C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398#14273651C2311yescharacteristic
399#14273651C2311yescharacteristic
400#14273651C2311yescharacteristic
401#14273651C2311yescharacteristic
402#14273651C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273649C2311yescharacteristic
405#14273649C2311yescharacteristic
406#14273649C2311yescharacteristic
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
423#14273647C2311yescharacteristic
424C22⋊(C59⋊C8)C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428#14273638C2311yescharacteristic
429#14273637C2311yescharacteristic
430#14273637C2311yescharacteristic
431C8×Dic59C2311yescharacteristic
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C2×#41×C59C2311yescharacteristic
438C22×Q8×C59C2311yescharacteristic
439C22×D4×C59—21no—
440C22×D4×C59C2311yescharacteristic
441C22×D4×C59C2311yescharacteristic
442AGL(1,ℤ/8)×C59—24no—
443C2×SD16×C59—24no—
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×M16×C59C2311yescharacteristic
454C22×C8×C59C2311yescharacteristic
455#127×C59C2311yescharacteristic
456#124×C59—21no—
457#124×C59C2311yescharacteristic
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59C2311yescharacteristic
460#121×C59—21no—
461#121×C59—21no—
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#120×C59—21no—
466#120×C59—21no—
467C4×Q8×C59C2311yescharacteristic
468C4×D4×C59—21no—
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C24×C59—21no—
483C24×C59—21no—
484C23×D59—21no—
485#41×C59—22no—
486#41×C59—41no—
487C2×Q8×C59—21no—
488C2×Q8×C59—22no—
489C2×Q8×C59—41no—
490C2×Q8×C59C2411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—22no—
493C2×D4×C59—22no—
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—21no—
501C2×D4×C59—21no—
502C2×D4×C59—41no—
503C2×D4×C59—41no—
504C2×D4×C59—44no—
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—44no—
530C2×C22⋊D59—44no—
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59—21no—
545C22×Dic59—44no—
546C22×Dic59—44no—
547C22×Dic59C2×D411yescharacteristic
548C22×Dic59C2×D411yescharacteristic
549C22×Dic59C2×D411yescharacteristic
550C22×Dic59C2×D411yescharacteristic
551#11745689—22no—
552#11745689—41no—
553#11745687—24no—
554#11745687—44no—
555#11745687—44no—
556#11745687—44no—
557#11745687—44no—
558#11745687—44no—
559#11745687—44no—
560#11745687—44no—
561#11745687—44no—
562D4×D59—22no—
563D4×D59—41no—
564C2×D236—21no—
565C2×D236C2411yescharacteristic
566C2×D236C2411yescharacteristic
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—44no—
574C2×C4×D59C2×D411yescharacteristic
575C2×C4×D59C2×D411yescharacteristic
576C2×C4×D59C2411yescharacteristic
577C2×Dic118—21no—
578C2×Dic118—21no—
579C2×Dic118—21no—
580C2×Dic118—21no—
581C2×Dic118—44no—
582C2×Dic118C2×D411yescharacteristic
583SD16×C59—22no—
584SD16×C59—22no—
585SD16×C59—22no—
586SD16×C59—22no—
587SD16×C59—41no—
588SD16×C59#4114yescomplemented
589D8×C59—22no—
590D8×C59—22no—
591D8×C59—41no—
592M16×C59—22no—
593C2×C8×C59—22no—
594C2×C8×C59C2411yescharacteristic
595C2×C8×C59C2411yescharacteristic
596C2×C8×C59C2411yescharacteristic
597C2×C8×C59C2411yescharacteristic
598C4⋊C4×C59—21no—
599C4⋊C4×C59—21no—
600C4⋊C4×C59C2×D411yescharacteristic
601C4⋊C4×C59C2411yescharacteristic
602C4⋊C4×C59C2411yescharacteristic
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59C2×D411yescharacteristic
611C22⋊C4×C59C2×D411yescharacteristic
612C42×C59—21no—
613C42×C59C2411yescharacteristic
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59C2×D411yescharacteristic
628C22⋊Dic59C2×D411yescharacteristic
629#11745671—22no—
630#11745671—41no—
631#11745669—22no—
632#11745669—41no—
633#11745669—41no—
634#11745669—41no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4C2×D411yescharacteristic
648(C2×D59)⋊C4C2×D411yescharacteristic
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59C2×D411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662C4⋊Dic59C2411yescharacteristic
663C4⋊Dic59C2411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694#11745664—41no—
695C2×C59⋊C8—41no—
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700D472—22no—
701#11745659—22no—
702#11745659—41no—
703C23×C59—21no—
704C23×C59—21no—
705C23×C59—21no—
706C23×C59—21no—
707C23×C59—42no—
708C23×C59—42no—
709C23×C59—42no—
710C23×C59—42no—
711C23×C59—81no—
712C23×C59—81no—
713C23×C59C22×D411yescharacteristic
714C23×C59C22×D411yescharacteristic
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—81no—
720C22×D59C22×D411yescharacteristic
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—21no—
724Q8×C59—42no—
725Q8×C59C2×#4112yescomplemented
726D4×C59—22no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—42no—
735D4×C59—42no—
736D4×C59—42no—
737D4×C59—42no—
738D4×C59—42no—
739D4×C59—42no—
740D4×C59—42no—
741D4×C59—81no—
742D4×C59C2×#4112yes—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—42no—
752C2×C4×C59—42no—
753C2×C4×C59—42no—
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C2511yescharacteristic
759C22⋊D59—22no—
760C22⋊D59—22no—
761C22⋊D59—42no—
762C22⋊D59—42no—
763C22⋊D59—42no—
764C22⋊D59—42no—
765C22⋊D59—42no—
766C22⋊D59—42no—
767C22⋊D59—42no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C2×Dic59—22no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—41no—
783C2×Dic59—41no—
784C2×Dic59—42no—
785C2×Dic59—42no—
786C2×Dic59—42no—
787C2×Dic59—42no—
788C2×Dic59—42no—
789C2×Dic59—42no—
790C2×Dic59—42no—
791C2×Dic59—42no—
792C2×Dic59—42no—
793C2×Dic59—42no—
794C2×Dic59—81no—
795C2×Dic59—81no—
796C2×Dic59AGL(1,ℤ/8)14yescomplemented
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804D236—21no—
805D236—21no—
806D236—21no—
807D236—21no—
808D236—42no—
809C4×D59—21no—
810C4×D59—21no—
811C4×D59—22no—
812C4×D59—41no—
813C4×D59—42no—
814C4×D59—42no—
815C4×D59—42no—
816C4×D59—42no—
817C4×D59—42no—
818C4×D59—81no—
819Dic118—22no—
820Dic118—42no—
821Dic118—42no—
822Dic118—42no—
823Dic118—42no—
824C8×C59—21no—
825C8×C59—21no—
826C8×C59—21no—
827C8×C59C2×#4112yescomplemented
828C59⋊C8—21no—
829C59⋊C8—21no—
830C59⋊C8—21no—
831C59⋊C8—21no—
832#61439—591nomaximal, Sylow
833C22×C59—21no—
834C22×C59—21no—
835C22×C59—21no—
836C22×C59—22no—
837C22×C59—21no—
838C22×C59—21no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—84no—
851C22×C59—84no—
852C22×C59C2×AGL(1,ℤ/8)12yes—
853C22×C59C23×D411yescharacteristic
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—84no—
864C4×C59—21no—
865C4×C59—22no—
866C4×C59—21no—
867C4×C59—21no—
868C4×C59—21no—
869C4×C59—41no—
870C4×C59—41no—
871C4×C59—41no—
872C4×C59C22×#4111yescharacteristic
873C4×C59#58511yescharacteristic
874Dic59—21no—
875Dic59—21no—
876Dic59—21no—
877Dic59—21no—
878Dic59—21no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883Dic59—41no—
884Dic59—41no—
885Dic59C2×AGL(1,ℤ/8)12yes—
886Dic59C2×AGL(1,ℤ/8)12yes—
887#3480—591no—
888D4×#41—591no—
889#3399—591no—
890#3386—591no—
891#3373—591no—
892#3368—591no—
893#3353—591no—
894#3345—591no—
895#3345—591no—
896#3332—591no—
897#3324—591no—
898#3318—591no—
899#3318—591no—
900#3308—591no—
901#3308—591no—
902#3274—591no—
903#3265—591no—
904#3265D5911yescharacteristic, complemented
905#3171—591no—
906#3171—591no—
907#3169—591no—
908#3106—591no—
909#3106—591no—
910#3105—591no—
911#3105—591no—
912#3103—591no—
913#3100—591no—
914#2965—591no—
915C4×AGL(1,ℤ/8)—591no—
916C4×AGL(1,ℤ/8)—591no—
917C2×C4×SD16—591no—
918C2×C59—22no—
919C2×C59—42no—
920C2×C59—41no—
921C2×C59—81no—
922C2×C59—81no—
923C2×C59—81no—
924C2×C59D4×#4111yescharacteristic
925C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
926C2×C59#358411yescharacteristic
927D59—41no—
928D59—81no—
929D59—81no—
930C22×#41—1181no—
931C2×AGL(1,ℤ/8)—591no—
932C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
933C22×SD16C2×D5911yescharacteristic
934#559—591no—
935#559—1181no—
936#557—591no—
937#556—591no—
938#556—1181no—
939#553—591no—
940#553—591no—
941#553—1181no—
942#553—1181no—
943#550—591no—
944#550—591no—
945D4×Q8—591no—
946#548—591no—
947#548—1181no—
948#548C2×D5911yescharacteristic, complemented
949#547—591no—
950#547—591no—
951#547—591no—
952#546—1181no—
953#546—1181no—
954#546—1181no—
955D42—591no—
956D42—591no—
957D42C2×D5911yescharacteristic
958#532—591no—
959#532—591no—
960#532—591no—
961#532—591no—
962#532—1181no—
963#529—591no—
964#529—591no—
965#529—1181no—
966#529—1181no—
967#525—1181no—
968#525—1181no—
969#525—1181no—
970C4×#41—591no—
971C4×#41—591no—
972C4×#41—591no—
973C4×#41—1181no—
974C2×C4×Q8—591no—
975C2×C4×D4—591no—
976C2×C4×D4—591no—
977C2×C4×D4—591no—
978#501—591no—
979#501—591no—
980#500—591no—
981#496—591no—
982#496C2×D5911yescharacteristic, complemented
983#493—591no—
984#490—591no—
985#490—591no—
986#489—591no—
987#489—591no—
988#486—591no—
989#486—591no—
990#484—591no—
991#484—591no—
992#482—591no—
993#482—591no—
994#482—591no—
995#482—591no—
996#481—591no—
997#481—591no—
998#481—591no—
999#481—591no—
1000#480—591no—
1001#480—591no—
1002#478—591no—
1003#478—591no—
1004#478—591no—
1005#478—591no—
1006#477—591no—
1007#477—591no—
1008#476—591no—
1009#476—591no—
1010#475—591no—
1011#475—591no—
1012#474—591no—
1013#474—591no—
1014#469—591no—
1015#469—591no—
1016#469—591no—
1017#469—591no—
1018#468—591no—
1019#468—591no—
1020#468—591no—
1021#468C2×D5911yescharacteristic, complemented
1022#466—591no—
1023#466—591no—
1024#466—591no—
1025#466C2×D5911yescharacteristic, complemented
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463C2×D5911yescharacteristic
1030#460—591no—
1031#460—591no—
1032#460—591no—
1033#460C2×D5911yescharacteristic, complemented
1034#459—591no—
1035#459—591no—
1036#459—591no—
1037#459—591no—
1038#450—591no—
1039#450C2×D5911yescharacteristic
1040#449—591no—
1041#449—591no—
1042#449—591no—
1043#449C2×D5911yescharacteristic, complemented
1044#448—591no—
1045#448C2×D5911yescharacteristic, complemented
1046#447—591no—
1047#447—591no—
1048#447—591no—
1049#447C2×D5911yescharacteristic
1050#446—591no—
1051#446—591no—
1052#442—591no—
1053#442—591no—
1054#442—591no—
1055#442—591no—
1056#440—591no—
1057#440—591no—
1058#440—591no—
1059#440C2×D5911yescharacteristic
1060C4×SD16—591no—
1061C4×SD16—591no—
1062C4×SD16—591no—
1063C4×SD16—591no—
1064C4×SD16—591no—
1065C4×SD16—591no—
1066C4×SD16—591no—
1067C4×SD16—591no—
1068C4×SD16—591no—
1069C4×SD16—591no—
1070C4×SD16—591no—
1071C4×SD16—591no—
1072C4×D8—591no—
1073C4×D8—591no—
1074C4×D8—591no—
1075C4×D8—591no—
1076C4×D8—591no—
1077C4×D8—591no—
1078C4×D8—591no—
1079C4×D8—591no—
1080#436—591no—
1081#436—591no—
1082#435—591no—
1083#435—591no—
1084#435—591no—
1085#435C2×D5911yescharacteristic, complemented
1086#431—591no—
1087#431—591no—
1088#431—591no—
1089#428—591no—
1090#428—591no—
1091C2×#106—591no—
1092#418—591no—
1093#418—591no—
1094#417—591no—
1095#417—591no—
1096C2×#103—591no—
1097C2×#102—591no—
1098C4×M16—591no—
1099C4×M16—591no—
1100C2×C4×C8—591no—
1101C59#6143911yescharacteristic, complemented, Sylow
1102C2×#41—591no—
1103C2×#41—591no—
1104C2×#41—1181no—
1105C2×#41—1181no—
1106C2×#41—1181no—
1107C2×#41—1181no—
1108C2×#41—1181no—
1109C2×#41—1181no—
1110C2×#41—1181no—
1111C2×#41—1181no—
1112C2×#41—2368no—
1113C2×#41C22×D5911yescharacteristic
1114C22×Q8—1181no—
1115C22×Q8C22×D5911yescharacteristic
1116C22×D4—21no—
1117C22×D4—591no—
1118C22×D4—1181no—
1119C22×D4—1181no—
1120C22×D4C22×D5911yescharacteristic
1121C22×D4C22×D5911yescharacteristic
1122C23×C4—1181no—
1123C23×C4—1181no—
1124C23×C4—1181no—
1125AGL(1,ℤ/8)—24no—
1126AGL(1,ℤ/8)—1184no—
1127C2×SD16—24no—
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16C22×D5911yescharacteristic
1131C2×SD16C22×D5911yescharacteristic
1132C2×SD16C22×D5911yescharacteristic
1133C2×SD16C22×D5911yescharacteristic
1134C2×SD16C22×D5911yescharacteristic
1135C2×SD16C22×D5911yescharacteristic
1136C2×D8—591no—
1137C2×D8—591no—
1138C2×D8—591no—
1139C2×D8—591no—
1140C2×D8—591no—
1141C2×D8C22×D5911yescharacteristic
1142C2×D8C22×D5911yescharacteristic
1143C2×D8C22×D5911yescharacteristic
1144C2×M16—591no—
1145C2×M16—591no—
1146C2×M16—591no—
1147C2×M16C22×D5911yescharacteristic
1148C22×C8—591no—
1149C22×C8C22×D5911yescharacteristic
1150C4⋊Q8—591no—
1151C4⋊Q8—591no—
1152C4⋊Q8—591no—
1153C4⋊Q8—591no—
1154C4⋊Q8—1181no—
1155#127—591no—
1156#127—591no—
1157#127—591no—
1158#127—1181no—
1159#127C22×D5911yescharacteristic
1160#126—1181no—
1161#126—1181no—
1162#126—1181no—
1163#126—1181no—
1164#126—1181no—
1165#126—1181no—
1166#125—591no—
1167#125—591no—
1168#125—1181no—
1169#125—1181no—
1170#124—21no—
1171#124—591no—
1172#124—1181no—
1173#124—1181no—
1174#124—1181no—
1175#124—1181no—
1176#124—1181no—
1177#124—1181no—
1178#124—1181no—
1179#124C22×D5911yescharacteristic
1180#123—1181no—
1181#123—1181no—
1182#123—1181no—
1183#123—1181no—
1184#123—1181no—
1185#123—1181no—
1186#123—1181no—
1187#123—1181no—
1188#123—1181no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192C22⋊Q8—21no—
1193C22⋊Q8—591no—
1194C22⋊Q8—1181no—
1195C22⋊Q8—1181no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8—1181no—
1201C22⋊Q8C22×D5911yescharacteristic
1202#121—21no—
1203#121—21no—
1204#121—591no—
1205#121—591no—
1206#121—591no—
1207#121—591no—
1208#121—591no—
1209#121—591no—
1210#121—591no—
1211#121—1181no—
1212#121—1181no—
1213#121—1181no—
1214#121—1181no—
1215#121—1181no—
1216#121—1181no—
1217#121—1181no—
1218#121—1181no—
1219#121—1181no—
1220#121—1181no—
1221#121—1181no—
1222#121—1181no—
1223#121—1181no—
1224#121—1181no—
1225#121C22×D5911yescharacteristic
1226#121C22×D5911yescharacteristic
1227#121C22×D5911yescharacteristic
1228#120—21no—
1229#120—21no—
1230#120—1181no—
1231#120—1181no—
1232#120—1181no—
1233#120—1181no—
1234C4×Q8—591no—
1235C4×Q8—591no—
1236C4×Q8—591no—
1237C4×Q8—591no—
1238C4×Q8—591no—
1239C4×Q8—591no—
1240C4×Q8—591no—
1241C4×Q8—1181no—
1242C4×Q8—1181no—
1243C4×Q8—1181no—
1244C4×Q8—1181no—
1245C4×Q8C22×D5911yescharacteristic
1246C4×D4—21no—
1247C4×D4—591no—
1248C4×D4—591no—
1249C4×D4—591no—
1250C4×D4—591no—
1251C4×D4—591no—
1252C4×D4—591no—
1253C4×D4—591no—
1254C4×D4—591no—
1255C4×D4—591no—
1256C4×D4—591no—
1257C4×D4—591no—
1258C4×D4—591no—
1259C4×D4—591no—
1260C4×D4—591no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—1181no—
1266C4×D4—1181no—
1267C4×D4—1181no—
1268C4×D4—1181no—
1269C4×D4—1181no—
1270C4×D4—1181no—
1271C4×D4—1181no—
1272C4×D4—1181no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4C22×D5911yescharacteristic
1287C4×D4C22×D5911yescharacteristic
1288#117—591no—
1289#117—591no—
1290#117—591no—
1291#117—591no—
1292#117—591no—
1293#117—1181no—
1294#117—1181no—
1295#117—1181no—
1296#117—1181no—
1297C2×C4⋊C4—591no—
1298C2×C4⋊C4—591no—
1299C2×C4⋊C4—591no—
1300C2×C4⋊C4—591no—
1301C2×C4⋊C4—1181no—
1302C2×C22⋊C4—1181no—
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C42—591no—
1306C2×C42—591no—
1307C2×C42—591no—
1308C2×C42—1181no—
1309C2×C42—1181no—
1310C2×C42—1181no—
1311#107—591no—
1312#107—591no—
1313#107—591no—
1314#107—591no—
1315#107—591no—
1316#107—591no—
1317#107—591no—
1318#107C22×D5911yescharacteristic
1319#106—591no—
1320#106—591no—
1321#106—591no—
1322#106—591no—
1323#106—591no—
1324#106—591no—
1325#106—591no—
1326#106—591no—
1327C4⋊C8—591no—
1328C4⋊C8—591no—
1329C4⋊C8—591no—
1330C4⋊C8—591no—
1331C4⋊C8—591no—
1332C4⋊C8C22×D5911yescharacteristic
1333#103—591no—
1334#103—591no—
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103C22×D5911yescharacteristic
1340#103C22×D5911yescharacteristic
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102C22×D5911yescharacteristic
1362#102C22×D5911yescharacteristic
1363#102C22×D5911yescharacteristic
1364#102C22×D5911yescharacteristic
1365C22⋊C8—591no—
1366C22⋊C8—591no—
1367C22⋊C8—591no—
1368C22⋊C8—591no—
1369C22⋊C8C22×D5911yescharacteristic
1370C22⋊C8C22×D5911yescharacteristic
1371#97—591no—
1372#97—591no—
1373#97—591no—
1374#97C22×D5911yescharacteristic
1375C4×C8—591no—
1376C4×C8—591no—
1377C4×C8—591no—
1378C4×C8—591no—
1379C4×C8—591no—
1380C4×C8—591no—
1381C24—21no—
1382C24—21no—
1383C24—1181no—
1384#41—22no—
1385#41—41no—
1386#41—1184no—
1387#41—1182no—
1388#41—2364no—
1389#41—2364no—
1390#41—2364no—
1391#41—2364no—
1392#41—2361no—
1393#41—2364no—
1394#41—2364no—
1395#41—2364no—
1396#41—2364no—
1397C2×Q8—21no—
1398C2×Q8—22no—
1399C2×Q8—41no—
1400C2×Q8—591no—
1401C2×Q8—1181no—
1402C2×Q8—1181no—
1403C2×Q8—1181no—
1404C2×Q8—1181no—
1405C2×Q8—2364no—
1406C2×Q8C23×D5911yescharacteristic
1407C2×Q8C23×D5911yescharacteristic
1408C2×D4—22no—
1409C2×D4—22no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—44no—
1421C2×D4—591no—
1422C2×D4—591no—
1423C2×D4—591no—
1424C2×D4—591no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1182no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—2361no—
1442C2×D4—2364no—
1443C2×D4—2364no—
1444C2×D4D4×D5911yescharacteristic
1445C2×D4C23×D5911yescharacteristic
1446C2×D4C23×D5911yescharacteristic
1447C2×D4C23×D5911yescharacteristic
1448C2×D4C23×D5911yescharacteristic
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—591no—
1453C22×C4—591no—
1454C22×C4—591no—
1455C22×C4—591no—
1456C22×C4—591no—
1457C22×C4—591no—
1458C22×C4—591no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—2364no—
1478C22×C4—2364no—
1479C22×C4—2364no—
1480C22×C4C23×D5911yescharacteristic
1481C22×C4C23×D5911yescharacteristic
1482SD16—22no—
1483SD16—22no—
1484SD16—22no—
1485SD16—22no—
1486SD16—41no—
1487SD16—1182no—
1488SD16—2361no—
1489SD16#1174568714yescomplemented
1490D8—22no—
1491D8—22no—
1492D8—41no—
1493D8—1182no—
1494D8—1182no—
1495D8—2361no—
1496D8—2361no—
1497D8—2361no—
1498M16—22no—
1499M16—1182no—
1500M16—2361no—
1501M16—2361no—
1502C2×C8—22no—
1503C2×C8—591no—
1504C2×C8—591no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—2361no—
1508C2×C8C23×D5911yescharacteristic
1509C2×C8C23×D5911yescharacteristic
1510C2×C8C23×D5911yescharacteristic
1511C2×C8C23×D5911yescharacteristic
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—591no—
1515C4⋊C4—591no—
1516C4⋊C4—591no—
1517C4⋊C4—591no—
1518C4⋊C4—591no—
1519C4⋊C4—591no—
1520C4⋊C4—591no—
1521C4⋊C4—591no—
1522C4⋊C4—591no—
1523C4⋊C4—591no—
1524C4⋊C4—591no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4D4×D5911yescharacteristic
1544C4⋊C4C23×D5911yescharacteristic
1545C4⋊C4C23×D5911yescharacteristic
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—591no—
1554C22⋊C4—591no—
1555C22⋊C4—591no—
1556C22⋊C4—591no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4D4×D5911yescharacteristic
1583C22⋊C4D4×D5911yescharacteristic
1584C42—21no—
1585C42—591no—
1586C42—591no—
1587C42—591no—
1588C42—591no—
1589C42—591no—
1590C42—591no—
1591C42—591no—
1592C42—591no—
1593C42—591no—
1594C42—1181no—
1595C42—1181no—
1596C42—1181no—
1597C42—1181no—
1598C42—1181no—
1599C42—1181no—
1600C42—1181no—
1601C42C23×D5911yescharacteristic
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—42no—
1607C23—42no—
1608C23—42no—
1609C23—42no—
1610C23—81no—
1611C23—81no—
1612C23—591no—
1613C23—1181no—
1614C23—1181no—
1615C23—4721no—
1616C23—2362no—
1617C23—2362no—
1618C23C2×D4×D5911yescharacteristic
1619C23C2×D4×D5911yescharacteristic
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—42no—
1624Q8—1182no—
1625Q8—2362no—
1626Q8—2362no—
1627Q8—2362no—
1628Q8—2362no—
1629Q8C2×#1174568712yescomplemented
1630D4—22no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—42no—
1639D4—42no—
1640D4—42no—
1641D4—42no—
1642D4—42no—
1643D4—42no—
1644D4—42no—
1645D4—81no—
1646D4—1182no—
1647D4—1182no—
1648D4—1181no—
1649D4—1181no—
1650D4—1181no—
1651D4—1181no—
1652D4—4721no—
1653D4—4721no—
1654D4—4721no—
1655D4—4721no—
1656D4—4721no—
1657D4—2362no—
1658D4—2362no—
1659D4—2362no—
1660D4—2362no—
1661D4—2362no—
1662D4—2362no—
1663D4—2362no—
1664D4—2362no—
1665D4—2362no—
1666D4—2362no—
1667D4C2×#1174568712yes—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—42no—
1677C2×C4—42no—
1678C2×C4—42no—
1679C2×C4—594no—
1680C2×C4—591no—
1681C2×C4—591no—
1682C2×C4—591no—
1683C2×C4—591no—
1684C2×C4—591no—
1685C2×C4—591no—
1686C2×C4—591no—
1687C2×C4—1182no—
1688C2×C4—1182no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—1181no—
1697C2×C4—4721no—
1698C2×C4—4721no—
1699C2×C4—4721no—
1700C2×C4—2361no—
1701C2×C4—2362no—
1702C2×C4—2362no—
1703C2×C4—2362no—
1704C2×C4—2362no—
1705C2×C4—2362no—
1706C2×C4—2362no—
1707C2×C4—2362no—
1708C2×C4—2362no—
1709C2×C4—2362no—
1710C2×C4—2362no—
1711C2×C4—2362no—
1712C2×C4—2361no—
1713C2×C4—2361no—
1714C2×C4—2362no—
1715C2×C4—2362no—
1716C2×C4—2362no—
1717C2×C4—2362no—
1718C2×C4C2×D4×D5911yescharacteristic
1719C2×C4C2×D4×D5911yescharacteristic
1720C2×C4C2×D4×D5911yescharacteristic
1721C2×C4C2×D4×D5911yescharacteristic
1722C2×C4C24×D5911yescharacteristic
1723C8—21no—
1724C8—21no—
1725C8—21no—
1726C8—1181no—
1727C8—1181no—
1728C8—1181no—
1729C8—1181no—
1730C8C2×#1174568712yescomplemented
1731C22—21no—
1732C22—21no—
1733C22—21no—
1734C22—21no—
1735C22—22no—
1736C22—21no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—84no—
1749C22—84no—
1750C22—1181no—
1751C22—1181no—
1752C22—1181no—
1753C22—4724no—
1754C22—2361no—
1755C22—2361no—
1756C22—2361no—
1757C22—2361no—
1758C22—2361no—
1759C22—2361no—
1760C22AGL(1,ℤ/8)×D5912yes—
1761C22C22×D4×D5911yescharacteristic
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—22no—
1766C4—21no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—592no—
1771C4—592no—
1772C4—1181no—
1773C4—1181no—
1774C4—1181no—
1775C4—1181no—
1776C4—1181no—
1777C4—2361no—
1778C4—2361no—
1779C4—2361no—
1780C4—2361no—
1781C4—2361no—
1782C4—2361no—
1783C4C22×#1174568711yescharacteristic
1784C4#1683823711yescharacteristic
1785C2—22no—
1786C2—41no—
1787C2—42no—
1788C2—81no—
1789C2—81no—
1790C2—81no—
1791C2—4721no—
1792C2—4721no—
1793C2—2361no—
1794C2D4×#1174568711yescharacteristic
1795C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1796C2#2143886811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3265C2
socleC22×C59C23×D4
hypercenter#3265D59
hypocenterC59#61439
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. #21437686C2semidirect
2. D4×#11745687C2semidirect
3. #21437135C2semidirect
4. #21437018C2semidirect
5. #21436883C2semidirect
6. #21436820C2semidirect
7. #21436675C2semidirect
8. #21436572C2semidirect
9. #21436568C2semidirect
10. #21436416C2semidirect
11. #21436320C2semidirect
12. #21436241C2semidirect
13. #21436237C2semidirect
14. #21436091C2semidirect
15. #21436087C2semidirect
16. #21435710C2semidirect
17. #21435591C2semidirect
18. #21434688C2semidirect
19. #21434684C2semidirect
20. #21434670C2semidirect
21. #21434155C2semidirect
22. #21434149C2semidirect
23. #21434144C2semidirect
24. #21434142C2semidirect
25. #21434122C2semidirect
26. #21434091C2semidirect
27. #21433056C2semidirect
28. AGL(1,ℤ/8)×Dic59C2semidirect
29. #21432901C2semidirect
30. C2×SD16×Dic59C2semidirect
31. C59×#3265C2semidirect
35. #16838134C22semidirect
36. #16838128C22semidirect
38. #16838123C22semidirect
40. #16838104C22semidirect
42. #16838098C22semidirect
44. #16838071C22semidirect
46. #16838063C22semidirect
60. #16837947C22semidirect
62. #16837938C22semidirect
64. #16837931C22semidirect
68. #41×Dic59C22semidirect
69. C4×#11745689C22semidirect
72. C2×Q8×Dic59C22semidirect
76. #16837811C22semidirect
77. #16837810C22semidirect
78. #16837806C22semidirect
79. #16837788C22semidirect
80. #16837777C22semidirect
81. #16837766C22semidirect
82. #16837765C22semidirect
83. #16837763C22semidirect
84. #16837761C22semidirect
85. #16837747C22semidirect
86. #16837747C22semidirect
87. #16837736C22semidirect
88. #16837735C22semidirect
89. #16837727C22semidirect
90. #16837725C22semidirect
91. #16837725C22semidirect
92. #16837723C22semidirect
93. #16837721C22semidirect
94. #16837721C22semidirect
95. #16837719C22semidirect
96. #16837718C22semidirect
97. #16837716C22semidirect
98. #16837713C22semidirect
100. #16837704C22semidirect
101. #16837703C22semidirect
103. #16837697C22semidirect
104. #16837695C22semidirect
105. #16837693C22semidirect
106. #16837690C22semidirect
107. #16837685C22semidirect
108. #16837685C22semidirect
110. #16837680C22semidirect
111. #16837655C22semidirect
112. #16837653C22semidirect
113. #16837652C22semidirect
114. #16837652C22semidirect
115. #16837650C22semidirect
116. #16837645C22semidirect
117. #16837645C22semidirect
118. #16837638C22semidirect
119. #16837636C22semidirect
120. #16837636C22semidirect
122. #16837619C22semidirect
123. #16837614C22semidirect
124. #16837600C22semidirect
125. #16837600C22semidirect
126. #16837600C22semidirect
128. #16837595C22semidirect
129. #16837595C22semidirect
130. #16837594C22semidirect
132. #16837547C22semidirect
133. #16837546C22semidirect
134. #16837546C22semidirect
135. #16837541C22semidirect
139. #16837531C22semidirect
140. #16837530C22semidirect
141. #16837515C22semidirect
143. #16837514C22semidirect
146. #16837503C22semidirect
147. #16837500C22semidirect
152. SD16×Dic59C22semidirect
153. SD16×Dic59C22semidirect
154. SD16×Dic59C22semidirect
155. SD16×Dic59C22semidirect
156. SD16×Dic59C22semidirect
157. SD16×Dic59C22semidirect
158. #16837487C22semidirect
159. #16837487C22semidirect
161. D8×Dic59C22semidirect
162. D8×Dic59C22semidirect
163. #16837484C22semidirect
165. #16837482C22semidirect
166. #16837482C22semidirect
167. #16837482C22semidirect
168. #16837478C22semidirect
169. #16837477C22semidirect
170. #16837474C22semidirect
171. #16837473C22semidirect
172. #16837470C22semidirect
173. #16837454C22semidirect
174. #16837452C22semidirect
175. #16837452C22semidirect
176. #16837444C22semidirect
177. #16837443C22semidirect
178. C2×#14273659C22semidirect
181. #16837403C22semidirect
182. #16837402C22semidirect
183. C2×#14273651C22semidirect
185. #16837354C22semidirect
186. M16×Dic59C22semidirect
187. C2×C8×Dic59C22semidirect
190. C59×#548C22semidirect
192. C59×#496C22semidirect
193. C59×#468C22semidirect
194. C59×#466C22semidirect
196. C59×#460C22semidirect
198. C59×#449C22semidirect
199. C59×#448C22semidirect
202. C59×#435C22semidirect
588. SD16×C59#41semidirect
725. Q8×C59C2×#41semidirect
796. C2×Dic59AGL(1,ℤ/8)semidirect
827. C8×C59C2×#41semidirect
904. #3265D59semidirect
948. #548C2×D59semidirect
982. #496C2×D59semidirect
1021. #468C2×D59semidirect
1025. #466C2×D59semidirect
1033. #460C2×D59semidirect
1043. #449C2×D59semidirect
1045. #448C2×D59semidirect
1085. #435C2×D59semidirect
1101. C59#61439semidirect
1489. SD16#11745687semidirect
1629. Q8C2×#11745687semidirect
1730. C8C2×#11745687semidirect

Maximal subgroups

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

subgroupindex
#214376862
D4×#117456872
#214371352
#214370182
#214368832
#214368202
#214366752
#214365722
#214365682
#214364162
#214363202
#214362412
#214362372
#214360912
#214360872
#214357102
#214355912
#214346882
#214346842
#214346702
#214341552
#214341492
#214341442
#214341422
#214341222
#214340912
#214330562
AGL(1,ℤ/8)×Dic592
#214329012
C2×SD16×Dic592
C59×#32652
#6143959