Finite Group Databasebeta

← #29470605

Subgroups — #29470605

Order 15104.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437701C211yesmaximal, characteristic, complemented
2D4×#11745687C211yesmaximal, characteristic, complemented
3#21437135C211yesmaximal, characteristic, complemented
4#21436996C211yesmaximal, characteristic, complemented
5#21436883C211yesmaximal, characteristic, complemented
6#21436798C211yesmaximal, characteristic, complemented
7#21436568C211yesmaximal, characteristic, complemented
8#21436561C211yesmaximal, characteristic, complemented
9#21436448C211yesmaximal, characteristic, complemented
10#21436237C211yesmaximal, characteristic, complemented
11#21436230C211yesmaximal, characteristic, complemented
12#21436057C211yesmaximal, characteristic, complemented
13#21436050C211yesmaximal, characteristic, complemented
14#21435913C211yesmaximal, characteristic, complemented
15#21435902C211yesmaximal, characteristic, complemented
16D8×C22⋊D59C211yesmaximal, characteristic, complemented
17#21435570C211yesmaximal, characteristic, complemented
18#21434829C211yesmaximal, characteristic, complemented
19#21434791C211yesmaximal, characteristic, complemented
20#21434787C211yesmaximal, characteristic, complemented
21#21434240C211yesmaximal, characteristic, complemented
22#21434235C211yesmaximal, characteristic, complemented
23#21434233C211yesmaximal, characteristic, complemented
24#21434186C211yesmaximal, characteristic, complemented
25#21434182C211yesmaximal, characteristic, complemented
26#21434182C211yesmaximal, characteristic, complemented
27#21433106C211yesmaximal, characteristic, complemented
28AGL(1,ℤ/8)×Dic59C211yesmaximal, characteristic, complemented
29C2×#16837514C211yesmaximal, characteristic, complemented
30#442×D59C211yesmaximal, characteristic, complemented
31C59×#3264C211yesmaximal, characteristic, complemented
32C22×#11745687—21no—
33C2×D8×D59C2211yescharacteristic
34#16838134C2211yescharacteristic, complemented
35#16838111C2211yescharacteristic, complemented
36#16838110C2211yescharacteristic, complemented
37#16838099C2211yescharacteristic, complemented
38#16838098C2211yescharacteristic, complemented
39#16838095—21no—
40#16838078—21no—
41#16838075—21no—
42#16838072C2211yescharacteristic, complemented
43D4×Dic118C2211yescharacteristic, complemented
44#16838058—21no—
45#16838056C2211yescharacteristic, complemented
46#16838052C2211yescharacteristic
47#16838052C2211yescharacteristic, complemented
48#16838046—21no—
49#16838040C2211yescharacteristic, complemented
50#16838039—21no—
51#16838039—21no—
52#16838039—21no—
53D4×C22⋊D59C2211yescharacteristic
54D4×C22⋊D59C2211yescharacteristic, complemented
55D4×C22⋊D59C2211yescharacteristic, complemented
56#16837950C2211yescharacteristic, complemented
57#16837947C2211yescharacteristic, complemented
58#16837947C2211yescharacteristic, complemented
59#16837947C2211yescharacteristic, complemented
60#16837938C2211yescharacteristic, complemented
61#16837931C2211yescharacteristic, complemented
62#16837929—21no—
63#16837912—21no—
64#16837912—21no—
65#16837908—21no—
66#16837908—21no—
67#16837908—21no—
68#41×Dic59C2211yescharacteristic, complemented
69C4×#11745687C2211yescharacteristic
70C2×D4×Dic59C2211yescharacteristic, complemented
71C2×D4×Dic59C2211yescharacteristic, complemented
72C2×D4×Dic59C2211yescharacteristic, complemented
73C2×(C22⋊D59)⋊C4—21no—
74C4×D4×D59C2211yescharacteristic, complemented
75C4×D4×D59C2211yescharacteristic, complemented
76#16837811C2211yescharacteristic, complemented
77#16837809C2211yescharacteristic, complemented
78#16837799C2211yescharacteristic, 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#16837731C2211yescharacteristic, complemented
88#16837730C2211yescharacteristic, complemented
89#16837727C2211yescharacteristic, complemented
90#16837723C2211yescharacteristic, complemented
91#16837721C2211yescharacteristic, complemented
92#16837721C2211yescharacteristic, complemented
93#16837719C2211yescharacteristic, complemented
94#16837719C2211yescharacteristic, complemented
95#16837718C2211yescharacteristic, complemented
96#16837718C2211yescharacteristic, complemented
97#16837716C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837703C2211yescharacteristic, complemented
100#16837702C2211yescharacteristic, complemented
101#16837700C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837693C2211yescharacteristic, complemented
104#16837692C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837690C2211yescharacteristic, complemented
107#16837690C2211yescharacteristic, complemented
108#16837690C2211yescharacteristic, complemented
109#16837685C2211yescharacteristic, complemented
110#16837680C2211yescharacteristic, complemented
111#16837655C2211yescharacteristic, complemented
112#16837653C2211yescharacteristic, complemented
113#16837653C2211yescharacteristic, complemented
114#16837638C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic, complemented
116#16837635C2211yescharacteristic, complemented
117#16837635C2211yescharacteristic, complemented
118#16837633C2211yescharacteristic, complemented
119#16837628C2211yescharacteristic, complemented
120#16837628C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837619C2211yescharacteristic, complemented
123#16837614C2211yescharacteristic, complemented
124#16837600C2211yescharacteristic, complemented
125#16837595C2211yescharacteristic
126#16837595C2211yescharacteristic, complemented
127#16837595C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic, complemented
129#16837595C2211yescharacteristic, complemented
130#16837594C2211yescharacteristic, complemented
131#16837551C2211yescharacteristic, complemented
132#16837547C2211yescharacteristic, complemented
133#16837536C2211yescharacteristic
134#16837536C2211yescharacteristic, complemented
135#16837536C2211yescharacteristic, complemented
136#16837534C2211yescharacteristic
137#16837534C2211yescharacteristic, complemented
138#16837534C2211yescharacteristic, complemented
139#16837531C2211yescharacteristic, complemented
140#16837530C2211yescharacteristic, complemented
141#16837515C2211yescharacteristic, complemented
142#16837514C2211yescharacteristic
143#16837514C2211yescharacteristic
144#16837514C2211yescharacteristic, complemented
145#16837514C2211yescharacteristic, complemented
146#16837514C2211yescharacteristic, complemented
147#16837514C2211yescharacteristic, complemented
148#16837514C2211yescharacteristic, complemented
149#16837514C2211yescharacteristic, complemented
150#16837514C2211yescharacteristic, complemented
151#16837514C2211yescharacteristic, complemented
152#16837513C2211yescharacteristic, complemented
153#16837512C2211yescharacteristic, complemented
154#16837512C2211yescharacteristic, complemented
155#16837511C2211yescharacteristic, complemented
156#16837511C2211yescharacteristic, complemented
157#16837511C2211yescharacteristic, complemented
158#16837511C2211yescharacteristic, complemented
159#16837511C2211yescharacteristic, complemented
160#16837505C2211yescharacteristic, complemented
161#16837503C2211yescharacteristic, complemented
162#16837503C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic, complemented
164SD16×Dic59C2211yescharacteristic, complemented
165SD16×Dic59C2211yescharacteristic, complemented
166D8×Dic59C2211yescharacteristic
167D8×Dic59C2211yescharacteristic, complemented
168#16837476C2211yescharacteristic, complemented
169#16837474C2211yescharacteristic, complemented
170#16837471C2211yescharacteristic, complemented
171C8×C22⋊D59C2211yescharacteristic, complemented
172(C22⋊D59)⋊C8C2211yescharacteristic, complemented
173#16837458C2211yescharacteristic, complemented
174#16837456C2211yescharacteristic, complemented
175#16837456C2211yescharacteristic, complemented
176#16837444C2211yescharacteristic, complemented
177C2×#14273659C2211yescharacteristic, complemented
178#106×D59C2211yescharacteristic, complemented
179#16837407C2211yescharacteristic, complemented
180#16837403C2211yescharacteristic, complemented
181C2×#14273648C2211yescharacteristic, complemented
182C2×#14273648C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185M16×Dic59C2211yescharacteristic, complemented
186C2×#14273637C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
189C22×D8×C59C2211yescharacteristic
190C59×#546C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic, complemented
192C59×#496C2211yescharacteristic, complemented
193C59×#469C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#442C2211yescharacteristic
202C59×#435C2211yescharacteristic, complemented
203C2×#11745687—21no—
204C2×#11745687—21no—
205C2×#11745687—21no—
206C2×#11745687—21no—
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687—48no—
212C2×#11745687D411yescharacteristic
213C22×Dic118—21no—
214C22×C22⋊D59—21no—
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C2×D4×D59C2311yescharacteristic
218C2×D4×D59C2311yescharacteristic
219C23×Dic59—21no—
220C23×Dic59—21no—
221C23×Dic59—21no—
222C22×C4×D59—21no—
223C22×C4×D59—21no—
224C2×#11745671C2311yescharacteristic
225C2×D472C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231D8×D59—24no—
232C2×#11745664C2311yescharacteristic
233C22×C59⋊C8C2311yescharacteristic
234C2×C8×D59C2311yescharacteristic
235C2×C8×D59C2311yescharacteristic
236#14273727C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273726C2311yescharacteristic
239#14273726C2311yescharacteristic
240#14273723C2311yescharacteristic
241#14273723C2311yescharacteristic
242#14273723C2311yescharacteristic
243#14273722—21no—
244#14273722—21no—
245#14273720—21no—
246#14273720—21no—
247#14273719C2311yescharacteristic
248#14273718C2311yescharacteristic
249#14273717—21no—
250#14273716C2311yescharacteristic
251#14273714—21no—
252#14273713—21no—
253#14273713—21no—
254#14273713—21no—
255#14273713—21no—
256#14273711—21no—
257#14273711—21no—
258#14273711—21no—
259#14273711—21no—
260#14273710—21no—
261#14273709—21no—
262#14273709—21no—
263#14273709—21no—
264#14273709—21no—
265#14273709—21no—
266#14273708—21no—
267#14273708—21no—
268#14273708—21no—
269#14273707—21no—
270#14273707—21no—
271#14273706—21no—
272#14273706—21no—
273#14273704—21no—
274#14273704—21no—
275#14273704—21no—
276#14273704—21no—
277#14273704—21no—
278#14273704—21no—
279#14273704—21no—
280#14273703C2311yescharacteristic
281#14273701C2311yescharacteristic
282#14273701C2311yescharacteristic
283#14273701C2311yescharacteristic
284#14273701C2311yescharacteristic
285#14273699—21no—
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#14273696—21no—
304#14273695—21no—
305#14273695—21no—
306#14273695—21no—
307#14273695—21no—
308Q8×Dic59C2311yescharacteristic
309Q8×Dic59C2311yescharacteristic
310C4×Dic118C2311yescharacteristic
311#14273692D411yescharacteristic
312C4×D236C2311yescharacteristic
313C4×D236C2311yescharacteristic
314D4×Dic59—21no—
315D4×Dic59—21no—
316D4×Dic59—21no—
317D4×Dic59—21no—
318D4×Dic59—21no—
319D4×Dic59—21no—
320D4×Dic59—21no—
321D4×Dic59—21no—
322D4×Dic59—21no—
323D4×Dic59D411yescharacteristic
324D4×Dic59C2311yescharacteristic
325D4×Dic59C2311yescharacteristic
326D4×Dic59C2311yescharacteristic
327D4×Dic59C2311yescharacteristic
328D4×Dic59C2311yescharacteristic
329D4×Dic59C2311yescharacteristic
330D4×Dic59C2311yescharacteristic
331D4×Dic59C2311yescharacteristic
332D4×Dic59C2311yescharacteristic
333D4×Dic59C2311yescharacteristic
334D4×Dic59C2311yescharacteristic
335D4×Dic59C2311yescharacteristic
336#14273689C2311yescharacteristic
337#14273689C2311yescharacteristic
338C4×C22⋊D59—21no—
339C4×C22⋊D59—21no—
340C4×C22⋊D59C2311yescharacteristic
341C4×C22⋊D59C2311yescharacteristic
342(C22⋊D59)⋊C4—21no—
343(C22⋊D59)⋊C4—21no—
344(C22⋊D59)⋊C4—21no—
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#14273685D411yescharacteristic
359#14273683—21no—
360#14273683D411yescharacteristic
361#14273683D411yescharacteristic
362C2×C4⋊Dic59C2311yescharacteristic
363C2×C4⋊Dic59C2311yescharacteristic
364C2×C4⋊Dic59C2311yescharacteristic
365C2×Dic59⋊C4—21no—
366C4⋊C4×D59C2311yescharacteristic
367C4⋊C4×D59C2311yescharacteristic
368C2×C22⋊Dic59—21no—
369C2×C22⋊Dic59—21no—
370C2×C22⋊Dic59—21no—
371C2×(C2×D59)⋊C4—21no—
372C22⋊C4×D59—21no—
373C22⋊C4×D59—21no—
374C2×C4×Dic59—21no—
375C2×C4×Dic59C2311yescharacteristic
376C2×C4×Dic59C2311yescharacteristic
377C42×D59C2311yescharacteristic
378#14273661C2311yescharacteristic
379#14273661C2311yescharacteristic
380#14273661C2311yescharacteristic
381#14273660C2311yescharacteristic
382#14273659C2311yescharacteristic
383#14273659C2311yescharacteristic
384#14273659C2311yescharacteristic
385#14273659C2311yescharacteristic
386#14273659C2311yescharacteristic
387#14273659C2311yescharacteristic
388#14273658C2311yescharacteristic
389#14273658C2311yescharacteristic
390#14273658C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393C4⋊(C59⋊C8)C2311yescharacteristic
394Dic59⋊C8C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398#14273651C2311yescharacteristic
399#14273651C2311yescharacteristic
400#14273651C2311yescharacteristic
401#14273649C2311yescharacteristic
402#14273649C2311yescharacteristic
403#14273649C2311yescharacteristic
404#14273649C2311yescharacteristic
405#14273649C2311yescharacteristic
406#14273649C2311yescharacteristic
407#14273648C2311yescharacteristic
408#14273648C2311yescharacteristic
409#14273648C2311yescharacteristic
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
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C2×#41×C59C2311yescharacteristic
438C22×D4×C59—21no—
439C22×D4×C59C2311yescharacteristic
440C22×D4×C59C2311yescharacteristic
441C22×D4×C59C2311yescharacteristic
442AGL(1,ℤ/8)×C59—24no—
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×D8×C59—24no—
447C2×D8×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×M16×C59C2311yescharacteristic
454C22×C8×C59C2311yescharacteristic
455#127×C59C2311yescharacteristic
456#124×C59C2311yescharacteristic
457#123×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—
466#120×C59—21no—
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470C2×C22⋊C4×C59—21no—
471#106×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#102×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—
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487#41×C59—22no—
488#41×C59—41no—
489C2×Q8×C59C2411yescharacteristic
490C2×D4×C59—22no—
491C2×D4×C59—22no—
492C2×D4×C59—22no—
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—21no—
501C2×D4×C59—21no—
502C2×D4×C59—41no—
503C2×D4×C59—41no—
504C2×D4×C59—41no—
505C2×D4×C59—44no—
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
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—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—44no—
533C2×C22⋊D59—44no—
534C2×C22⋊D59—44no—
535C2×C22⋊D59C2×D411yescharacteristic
536C2×C22⋊D59C2×D411yescharacteristic
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—21no—
546C22×Dic59—21no—
547C22×Dic59—21no—
548C22×Dic59—21no—
549C22×Dic59—21no—
550C22×Dic59—21no—
551C22×Dic59—21no—
552C22×Dic59—44no—
553C22×Dic59—44no—
554C22×Dic59—82no—
555C22×Dic59C2×D411yescharacteristic
556C22×Dic59C2×D411yescharacteristic
557C22×Dic59C2×D411yescharacteristic
558C22×Dic59C2×D411yescharacteristic
559#11745687—24no—
560#11745687—44no—
561#11745687—44no—
562#11745687—44no—
563#11745687—44no—
564#11745687—44no—
565#11745687—44no—
566#11745687—44no—
567#11745687—82no—
568D4×D59—22no—
569D4×D59—22no—
570D4×D59—41no—
571D4×D59—41no—
572C2×D236C2411yescharacteristic
573C2×D236C2411yescharacteristic
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—44no—
581C2×C4×D59—82no—
582C2×C4×D59C2×D411yescharacteristic
583C2×C4×D59C2×D411yescharacteristic
584C2×C4×D59C2411yescharacteristic
585C2×Dic118—21no—
586C2×Dic118—21no—
587C2×Dic118—21no—
588C2×Dic118—21no—
589C2×Dic118—44no—
590C2×Dic118C2×D411yescharacteristic
591SD16×C59—22no—
592SD16×C59—22no—
593SD16×C59—41no—
594D8×C59—22no—
595D8×C59—22no—
596D8×C59—22no—
597D8×C59—22no—
598D8×C59—41no—
599D8×C59#4114yescomplemented
600M16×C59—22no—
601C2×C8×C59—22no—
602C2×C8×C59C2411yescharacteristic
603C2×C8×C59C2411yescharacteristic
604C2×C8×C59C2411yescharacteristic
605C2×C8×C59C2411yescharacteristic
606C4⋊C4×C59—21no—
607C4⋊C4×C59C2×D411yescharacteristic
608C4⋊C4×C59C2411yescharacteristic
609C4⋊C4×C59C2411yescharacteristic
610C22⋊C4×C59—21no—
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
613C22⋊C4×C59—21no—
614C22⋊C4×C59—21no—
615C22⋊C4×C59—21no—
616C22⋊C4×C59—21no—
617C22⋊C4×C59—21no—
618C22⋊C4×C59C2×D411yescharacteristic
619C22⋊C4×C59C2×D411yescharacteristic
620C42×C59C2411yescharacteristic
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59—21no—
635C22⋊Dic59—21no—
636C22⋊Dic59—21no—
637C22⋊Dic59C2×D411yescharacteristic
638C22⋊Dic59C2×D411yescharacteristic
639#11745671—41no—
640#11745669—22no—
641#11745669—22no—
642#11745669—41no—
643#11745669—41no—
644#11745669—41no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59C2×D411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669C4⋊Dic59C2411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2×D411yescharacteristic
693C4×Dic59C2×D411yescharacteristic
694C4×Dic59C2411yescharacteristic
695C4×Dic59C2411yescharacteristic
696C4×Dic59C2411yescharacteristic
697#11745664—41no—
698C2×C59⋊C8—41no—
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703D472—22no—
704C8×D59—22no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—42no—
712C23×C59—42no—
713C23×C59—42no—
714C23×C59—42no—
715C23×C59—42no—
716C23×C59—42no—
717C23×C59—81no—
718C23×C59—81no—
719C23×C59—81no—
720C23×C59C22×D411yescharacteristic
721C23×C59C22×D411yescharacteristic
722C22×D59—21no—
723C22×D59—21no—
724C22×D59—42no—
725C22×D59—42no—
726C22×D59—42no—
727C22×D59—42no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59C22×D411yescharacteristic
731Q8×C59—21no—
732Q8×C59—21no—
733D4×C59—22no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—42no—
743D4×C59—42no—
744D4×C59—42no—
745D4×C59—42no—
746D4×C59—42no—
747D4×C59—42no—
748D4×C59—42no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59C2×#4112yes—
752D4×C59C2×#4112yescomplemented
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—42no—
761C2×C4×C59—42no—
762C2×C4×C59—81no—
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C2511yescharacteristic
768C22⋊D59—22no—
769C22⋊D59—42no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—42no—
773C22⋊D59—42no—
774C22⋊D59—42no—
775C22⋊D59—42no—
776C22⋊D59—42no—
777C22⋊D59—42no—
778C22⋊D59—42no—
779C22⋊D59—42no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C22⋊D59AGL(1,ℤ/8)14yescomplemented
785C2×Dic59—22no—
786C2×Dic59—22no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—41no—
794C2×Dic59—41no—
795C2×Dic59—42no—
796C2×Dic59—42no—
797C2×Dic59—42no—
798C2×Dic59—42no—
799C2×Dic59—42no—
800C2×Dic59—42no—
801C2×Dic59—42no—
802C2×Dic59—42no—
803C2×Dic59—42no—
804C2×Dic59—42no—
805C2×Dic59—42no—
806C2×Dic59—42no—
807C2×Dic59—81no—
808C2×Dic59—81no—
809C2×Dic59—81no—
810C2×Dic59C22×D411yescharacteristic
811C2×Dic59C22×D411yescharacteristic
812C2×Dic59C22×D411yescharacteristic
813C2×Dic59C22×D411yescharacteristic
814C2×Dic59C22×D411yescharacteristic
815C2×Dic59C22×D411yescharacteristic
816C2×Dic59C22×D411yescharacteristic
817D236—21no—
818D236—21no—
819D236—21no—
820D236—21no—
821C4×D59—22no—
822C4×D59—21no—
823C4×D59—21no—
824C4×D59—41no—
825C4×D59—42no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—42no—
829C4×D59—81no—
830C4×D59—81no—
831Dic118—22no—
832Dic118—42no—
833Dic118—42no—
834Dic118—42no—
835Dic118—81no—
836C8×C59—21no—
837C8×C59—21no—
838C8×C59—21no—
839C8×C59C2×#4112yescomplemented
840C59⋊C8—21no—
841C59⋊C8—21no—
842C59⋊C8—21no—
843C59⋊C8—21no—
844#61451—591nomaximal, Sylow
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—21no—
848C22×C59—22no—
849C22×C59—22no—
850C22×C59—21no—
851C22×C59—21no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59—84no—
866C22×C59—84no—
867C22×C59—84no—
868C22×C59C2×AGL(1,ℤ/8)12yes—
869C22×C59C23×D411yescharacteristic
870C2×D59—21no—
871C2×D59—21no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—41no—
875C2×D59—41no—
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—84no—
879C2×D59—84no—
880C2×D59C2×AGL(1,ℤ/8)12yes—
881C4×C59—21no—
882C4×C59—21no—
883C4×C59—21no—
884C4×C59—21no—
885C4×C59—41no—
886C4×C59—41no—
887C4×C59—41no—
888C4×C59C22×#4111yescharacteristic
889C4×C59#58511yescharacteristic
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—21no—
895Dic59—21no—
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899Dic59—41no—
900Dic59—41no—
901Dic59—41no—
902Dic59C2×AGL(1,ℤ/8)12yes—
903#3481—591no—
904D4×#41—591no—
905#3399—591no—
906#3384—591no—
907#3373—591no—
908#3366—591no—
909#3345—591no—
910#3345—591no—
911#3335—591no—
912#3318—591no—
913#3318—591no—
914#3306—591no—
915#3306—591no—
916#3295—591no—
917#3294—591no—
918D4×D8—591no—
919#3264—591no—
920#3264D5911yescharacteristic, complemented
921#3184—591no—
922#3180—591no—
923#3180—591no—
924#3115—591no—
925#3114—591no—
926#3114—591no—
927#3109—591no—
928#3109—591no—
929#3109—591no—
930#2970—591no—
931C4×AGL(1,ℤ/8)—591no—
932C2×#442—591no—
933C2×#442—591no—
934C2×C59—22no—
935C2×C59—42no—
936C2×C59—42no—
937C2×C59—41no—
938C2×C59—81no—
939C2×C59—81no—
940C2×C59—81no—
941C2×C59D4×#4111yescharacteristic
942C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
943C2×C59#358511yescharacteristic
944D59—22no—
945D59—81no—
946D59—81no—
947C22×#41—1181no—
948C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
949C22×D8—591no—
950C22×D8C2×D5911yescharacteristic
951#559—591no—
952#554—591no—
953#554—591no—
954#553—591no—
955#553—591no—
956#553—1181no—
957#551—1181no—
958#551—1181no—
959#550—591no—
960D4×Q8—591no—
961#548—1181no—
962#547—591no—
963#547—591no—
964#547—591no—
965#546—591no—
966#546—1181no—
967#546—1181no—
968#546—1181no—
969#546—1181no—
970#546C2×D5911yescharacteristic, complemented
971D42—591no—
972D42—591no—
973D42—591no—
974D42C2×D5911yescharacteristic, complemented
975#532—591no—
976#532—591no—
977#532—591no—
978#532—591no—
979#529—591no—
980#529—591no—
981#529—1181no—
982#525—1181no—
983#525—1181no—
984#525—1181no—
985#525—1181no—
986#525—1181no—
987C4×#41—591no—
988C4×#41—591no—
989C2×C4×D4—591no—
990C2×C4×D4—591no—
991C2×C4×D4—591no—
992C2×C4×D4—591no—
993C2×C4×D4—591no—
994C2×C4×D4—1181no—
995#501—591no—
996#501—591no—
997#498—591no—
998#496—591no—
999#496C2×D5911yescharacteristic, complemented
1000#493—591no—
1001#490—591no—
1002#490—591no—
1003#489—591no—
1004#489—591no—
1005#486—591no—
1006#486—591no—
1007#483—591no—
1008#483—591no—
1009#482—591no—
1010#482—591no—
1011#481—591no—
1012#481—591no—
1013#481—591no—
1014#481—591no—
1015#481—591no—
1016#481—591no—
1017#480—591no—
1018#480—591no—
1019#478—591no—
1020#478—591no—
1021#478—591no—
1022#478—591no—
1023#476—591no—
1024#476—591no—
1025#476—591no—
1026#476—591no—
1027#476—591no—
1028#476—591no—
1029#475—591no—
1030#474—591no—
1031#469—591no—
1032#469—591no—
1033#469—591no—
1034#469C2×D5911yescharacteristic, complemented
1035#466—591no—
1036#466—591no—
1037#466—591no—
1038#466—591no—
1039#465—591no—
1040#465—591no—
1041#465—591no—
1042#465C2×D5911yescharacteristic, complemented
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463C2×D5911yescharacteristic, complemented
1047#460—591no—
1048#459—591no—
1049#459—591no—
1050#459—591no—
1051#459—591no—
1052#459—591no—
1053#459—591no—
1054#459C2×D5911yescharacteristic, complemented
1055#450—591no—
1056#450C2×D5911yescharacteristic, complemented
1057#449—591no—
1058#449C2×D5911yescharacteristic, complemented
1059#447—591no—
1060#447—591no—
1061#447—591no—
1062#447—591no—
1063#447—591no—
1064#447—591no—
1065#447C2×D5911yescharacteristic, complemented
1066#447C2×D5911yescharacteristic, complemented
1067#446—591no—
1068#446—591no—
1069#442—591no—
1070#442—591no—
1071#442—591no—
1072#442—591no—
1073#442—591no—
1074#442—591no—
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#442—591no—
1079#442—591no—
1080#442—591no—
1081#442—591no—
1082#442—591no—
1083#442—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442—591no—
1088#442C2×D5911yescharacteristic
1089#440—591no—
1090#440—591no—
1091#440—591no—
1092#440—591no—
1093C4×SD16—591no—
1094C4×SD16—591no—
1095C4×D8—591no—
1096C4×D8—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435C2×D5911yescharacteristic, complemented
1101C8×D4—591no—
1102C8×D4—591no—
1103#432—591no—
1104#432—591no—
1105#432—591no—
1106#428—591no—
1107C2×#106—591no—
1108C2×#106—591no—
1109#418—591no—
1110#417—591no—
1111C2×#102—591no—
1112C2×#102—591no—
1113C2×#102—591no—
1114C2×#102—591no—
1115C4×M16—591no—
1116C2×#97—591no—
1117C2×#97—591no—
1118C59#6145111yescharacteristic, complemented, Sylow
1119C2×#41—591no—
1120C2×#41—1181no—
1121C2×#41—1181no—
1122C2×#41—1181no—
1123C2×#41—1181no—
1124C2×#41—1181no—
1125C2×#41—1181no—
1126C2×#41—1181no—
1127C2×#41—1181no—
1128C2×#41—2368no—
1129C2×#41C22×D5911yescharacteristic
1130C22×Q8—1181no—
1131C22×D4—21no—
1132C22×D4—591no—
1133C22×D4—591no—
1134C22×D4—1181no—
1135C22×D4—1181no—
1136C22×D4—1181no—
1137C22×D4C22×D5911yescharacteristic
1138C22×D4C22×D5911yescharacteristic
1139C22×D4C22×D5911yescharacteristic
1140C23×C4—1181no—
1141C23×C4—1181no—
1142C23×C4—1181no—
1143C23×C4—1181no—
1144C23×C4—1181no—
1145AGL(1,ℤ/8)—24no—
1146C2×SD16—591no—
1147C2×SD16C22×D5911yescharacteristic
1148C2×SD16C22×D5911yescharacteristic
1149C2×SD16C22×D5911yescharacteristic
1150C2×D8—24no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—1184no—
1158C2×D8C22×D5911yescharacteristic
1159C2×D8C22×D5911yescharacteristic
1160C2×D8C22×D5911yescharacteristic
1161C2×D8C22×D5911yescharacteristic
1162C2×D8C22×D5911yescharacteristic
1163C2×D8C22×D5911yescharacteristic
1164C2×M16—591no—
1165C2×M16C22×D5911yescharacteristic
1166C22×C8—591no—
1167C22×C8—591no—
1168C22×C8—591no—
1169C22×C8C22×D5911yescharacteristic
1170C4⋊Q8—591no—
1171C4⋊Q8—591no—
1172C4⋊Q8—591no—
1173C4⋊Q8—591no—
1174#127—591no—
1175#127—591no—
1176#127—591no—
1177#127C22×D5911yescharacteristic
1178#126—1181no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#125—591no—
1183#125—591no—
1184#125—1181no—
1185#124—591no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124C22×D5911yescharacteristic
1192#123—21no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206C22⋊Q8—591no—
1207C22⋊Q8—1181no—
1208C22⋊Q8—1181no—
1209C22⋊Q8—1181no—
1210C22⋊Q8—1181no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8C22×D5911yescharacteristic
1219#121—21no—
1220#121—21no—
1221#121—591no—
1222#121—591no—
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121C22×D5911yescharacteristic
1242#121C22×D5911yescharacteristic
1243#121C22×D5911yescharacteristic
1244#120—21no—
1245#120—21no—
1246#120—21no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252#120—1181no—
1253#120—1181no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×D4—591no—
1259C4×D4—591no—
1260C4×D4—591no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4C22×D5911yescharacteristic
1302C4×D4C22×D5911yescharacteristic
1303C4×D4C22×D5911yescharacteristic
1304#117—591no—
1305#117—591no—
1306#117—591no—
1307#117—591no—
1308#117—1181no—
1309#117—1181no—
1310#117—1181no—
1311C2×C4⋊C4—591no—
1312C2×C4⋊C4—591no—
1313C2×C4⋊C4—591no—
1314C2×C4⋊C4—591no—
1315C2×C4⋊C4—591no—
1316C2×C4⋊C4—1181no—
1317C2×C22⋊C4—21no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C22⋊C4—1181no—
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C42—591no—
1325C2×C42—591no—
1326C2×C42—591no—
1327C2×C42—1181no—
1328#107—591no—
1329#107—591no—
1330#107—591no—
1331#107—591no—
1332#106—591no—
1333#106—591no—
1334#106—591no—
1335#106—591no—
1336#106—591no—
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341#106—591no—
1342#106—591no—
1343#106C22×D5911yescharacteristic
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8C22×D5911yescharacteristic
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103C22×D5911yescharacteristic
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382C22⋊C8—591no—
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8C22×D5911yescharacteristic
1387C22⋊C8C22×D5911yescharacteristic
1388#97—591no—
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393#97—591no—
1394#97—591no—
1395#97C22×D5911yescharacteristic
1396C4×C8—591no—
1397C4×C8—591no—
1398C24—21no—
1399C24—21no—
1400C24—21no—
1401C24—1181no—
1402C24—1181no—
1403#41—22no—
1404#41—41no—
1405#41—1184no—
1406#41—4722no—
1407#41—2364no—
1408#41—2364no—
1409#41—2364no—
1410#41—2364no—
1411#41—2364no—
1412#41—2364no—
1413#41—2364no—
1414C2×Q8—591no—
1415C2×Q8—1181no—
1416C2×Q8—1181no—
1417C2×Q8—1181no—
1418C2×Q8—1181no—
1419C2×Q8—2364no—
1420C2×Q8C23×D5911yescharacteristic
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—22no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—41no—
1434C2×D4—41no—
1435C2×D4—41no—
1436C2×D4—44no—
1437C2×D4—591no—
1438C2×D4—591no—
1439C2×D4—591no—
1440C2×D4—591no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1182no—
1450C2×D4—1182no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2364no—
1461C2×D4—2364no—
1462C2×D4—2364no—
1463C2×D4D4×D5911yescharacteristic
1464C2×D4C23×D5911yescharacteristic
1465C2×D4C23×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C2×D4C23×D5911yescharacteristic
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—591no—
1475C22×C4—591no—
1476C22×C4—591no—
1477C22×C4—591no—
1478C22×C4—591no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4—1181no—
1489C22×C4—1181no—
1490C22×C4—1181no—
1491C22×C4—1181no—
1492C22×C4—1181no—
1493C22×C4—1181no—
1494C22×C4—1181no—
1495C22×C4—1181no—
1496C22×C4—1181no—
1497C22×C4—1181no—
1498C22×C4—1181no—
1499C22×C4—1181no—
1500C22×C4—4722no—
1501C22×C4—4722no—
1502C22×C4—2364no—
1503C22×C4—2364no—
1504C22×C4—2364no—
1505C22×C4C23×D5911yescharacteristic
1506C22×C4C23×D5911yescharacteristic
1507SD16—22no—
1508SD16—22no—
1509SD16—41no—
1510SD16—2361no—
1511D8—22no—
1512D8—22no—
1513D8—22no—
1514D8—22no—
1515D8—41no—
1516D8—1182no—
1517D8—1182no—
1518D8—1182no—
1519D8—2361no—
1520D8—2361no—
1521D8—2361no—
1522D8#1174568714yescomplemented
1523M16—22no—
1524M16—2361no—
1525C2×C8—22no—
1526C2×C8—591no—
1527C2×C8—591no—
1528C2×C8—591no—
1529C2×C8—591no—
1530C2×C8—1182no—
1531C2×C8—2361no—
1532C2×C8—2361no—
1533C2×C8C23×D5911yescharacteristic
1534C2×C8C23×D5911yescharacteristic
1535C2×C8C23×D5911yescharacteristic
1536C2×C8C23×D5911yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—591no—
1543C4⋊C4—591no—
1544C4⋊C4—591no—
1545C4⋊C4—591no—
1546C4⋊C4—591no—
1547C4⋊C4—591no—
1548C4⋊C4—591no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4—1181no—
1561C4⋊C4—1181no—
1562C4⋊C4—1181no—
1563C4⋊C4—1181no—
1564C4⋊C4—1181no—
1565C4⋊C4D4×D5911yescharacteristic
1566C4⋊C4C23×D5911yescharacteristic
1567C4⋊C4C23×D5911yescharacteristic
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—591no—
1577C22⋊C4—591no—
1578C22⋊C4—591no—
1579C22⋊C4—591no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4D4×D5911yescharacteristic
1608C22⋊C4D4×D5911yescharacteristic
1609C42—591no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—591no—
1614C42—591no—
1615C42—591no—
1616C42—591no—
1617C42—591no—
1618C42—1181no—
1619C42—1181no—
1620C42—1181no—
1621C42C23×D5911yescharacteristic
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—42no—
1628C23—42no—
1629C23—42no—
1630C23—42no—
1631C23—42no—
1632C23—42no—
1633C23—81no—
1634C23—81no—
1635C23—81no—
1636C23—591no—
1637C23—1181no—
1638C23—1181no—
1639C23—4721no—
1640C23—4721no—
1641C23—2362no—
1642C23—2362no—
1643C23—2362no—
1644C23—2362no—
1645C23C2×D4×D5911yescharacteristic
1646C23C2×D4×D5911yescharacteristic
1647Q8—21no—
1648Q8—21no—
1649Q8—1182no—
1650Q8—4721no—
1651Q8—2362no—
1652Q8—2362no—
1653Q8—2362no—
1654D4—22no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—21no—
1662D4—21no—
1663D4—42no—
1664D4—42no—
1665D4—42no—
1666D4—42no—
1667D4—42no—
1668D4—42no—
1669D4—42no—
1670D4—81no—
1671D4—81no—
1672D4—594no—
1673D4—1182no—
1674D4—1181no—
1675D4—1181no—
1676D4—1181no—
1677D4—1181no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—2362no—
1683D4—2362no—
1684D4—2362no—
1685D4—2362no—
1686D4—2362no—
1687D4—2362no—
1688D4—2362no—
1689D4—2362no—
1690D4—2362no—
1691D4—2362no—
1692D4—2362no—
1693D4C2×#1174568712yes—
1694D4C2×#1174568712yescomplemented
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—42no—
1703C2×C4—42no—
1704C2×C4—81no—
1705C2×C4—591no—
1706C2×C4—591no—
1707C2×C4—591no—
1708C2×C4—591no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—1182no—
1713C2×C4—1182no—
1714C2×C4—1182no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—4721no—
1724C2×C4—4721no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—2361no—
1729C2×C4—2362no—
1730C2×C4—2362no—
1731C2×C4—2362no—
1732C2×C4—2362no—
1733C2×C4—2362no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4—2361no—
1737C2×C4—2361no—
1738C2×C4—2362no—
1739C2×C4—2362no—
1740C2×C4—2362no—
1741C2×C4—2362no—
1742C2×C4—2362no—
1743C2×C4—2362no—
1744C2×C4—2362no—
1745C2×C4—2362no—
1746C2×C4—2362no—
1747C2×C4C2×D4×D5911yescharacteristic
1748C2×C4C2×D4×D5911yescharacteristic
1749C2×C4C2×D4×D5911yescharacteristic
1750C2×C4C2×D4×D5911yescharacteristic
1751C2×C4C24×D5911yescharacteristic
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—1181no—
1756C8—1181no—
1757C8—1181no—
1758C8—1181no—
1759C8C2×#1174568712yescomplemented
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—22no—
1765C22—22no—
1766C22—21no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—84no—
1781C22—84no—
1782C22—84no—
1783C22—592no—
1784C22—1181no—
1785C22—1181no—
1786C22—4724no—
1787C22—4724no—
1788C22—2361no—
1789C22—2361no—
1790C22—2361no—
1791C22—2361no—
1792C22—2361no—
1793C22—2361no—
1794C22AGL(1,ℤ/8)×D5912yes—
1795C22C22×D4×D5911yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—592no—
1804C4—1181no—
1805C4—1181no—
1806C4—1181no—
1807C4—1181no—
1808C4—1181no—
1809C4—1181no—
1810C4—2361no—
1811C4—2361no—
1812C4—2361no—
1813C4—2361no—
1814C4—2361no—
1815C4—2361no—
1816C4C22×#1174568711yescharacteristic
1817C4#1683823711yescharacteristic
1818C2—22no—
1819C2—41no—
1820C2—42no—
1821C2—42no—
1822C2—81no—
1823C2—81no—
1824C2—81no—
1825C2—1182no—
1826C2—4721no—
1827C2—4721no—
1828C2D4×#1174568711yescharacteristic
1829C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1830C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3264C2
socleC22×C59C23×D4
hypercenter#3264D59
hypocenterC59#61451
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #21437701C2semidirect
2. D4×#11745687C2semidirect
3. #21437135C2semidirect
4. #21436996C2semidirect
5. #21436883C2semidirect
6. #21436798C2semidirect
7. #21436568C2semidirect
8. #21436561C2semidirect
9. #21436448C2semidirect
10. #21436237C2semidirect
11. #21436230C2semidirect
12. #21436057C2semidirect
13. #21436050C2semidirect
14. #21435913C2semidirect
15. #21435902C2semidirect
16. D8×C22⋊D59C2semidirect
17. #21435570C2semidirect
18. #21434829C2semidirect
19. #21434791C2semidirect
20. #21434787C2semidirect
21. #21434240C2semidirect
22. #21434235C2semidirect
23. #21434233C2semidirect
24. #21434186C2semidirect
25. #21434182C2semidirect
26. #21434182C2semidirect
27. #21433106C2semidirect
28. AGL(1,ℤ/8)×Dic59C2semidirect
29. C2×#16837514C2semidirect
30. #442×D59C2semidirect
31. C59×#3264C2semidirect
34. #16838134C22semidirect
35. #16838111C22semidirect
36. #16838110C22semidirect
37. #16838099C22semidirect
38. #16838098C22semidirect
42. #16838072C22semidirect
43. D4×Dic118C22semidirect
45. #16838056C22semidirect
47. #16838052C22semidirect
49. #16838040C22semidirect
54. D4×C22⋊D59C22semidirect
55. D4×C22⋊D59C22semidirect
56. #16837950C22semidirect
57. #16837947C22semidirect
58. #16837947C22semidirect
59. #16837947C22semidirect
60. #16837938C22semidirect
61. #16837931C22semidirect
68. #41×Dic59C22semidirect
70. C2×D4×Dic59C22semidirect
71. C2×D4×Dic59C22semidirect
72. C2×D4×Dic59C22semidirect
74. C4×D4×D59C22semidirect
75. C4×D4×D59C22semidirect
76. #16837811C22semidirect
77. #16837809C22semidirect
78. #16837799C22semidirect
79. #16837788C22semidirect
80. #16837777C22semidirect
81. #16837766C22semidirect
82. #16837765C22semidirect
83. #16837763C22semidirect
84. #16837761C22semidirect
85. #16837747C22semidirect
86. #16837747C22semidirect
87. #16837731C22semidirect
88. #16837730C22semidirect
89. #16837727C22semidirect
90. #16837723C22semidirect
91. #16837721C22semidirect
92. #16837721C22semidirect
93. #16837719C22semidirect
94. #16837719C22semidirect
95. #16837718C22semidirect
96. #16837718C22semidirect
97. #16837716C22semidirect
98. #16837714C22semidirect
99. #16837703C22semidirect
100. #16837702C22semidirect
101. #16837700C22semidirect
102. #16837700C22semidirect
103. #16837693C22semidirect
104. #16837692C22semidirect
105. #16837690C22semidirect
106. #16837690C22semidirect
107. #16837690C22semidirect
108. #16837690C22semidirect
109. #16837685C22semidirect
110. #16837680C22semidirect
111. #16837655C22semidirect
112. #16837653C22semidirect
113. #16837653C22semidirect
114. #16837638C22semidirect
115. #16837636C22semidirect
116. #16837635C22semidirect
117. #16837635C22semidirect
118. #16837633C22semidirect
119. #16837628C22semidirect
120. #16837628C22semidirect
121. #16837619C22semidirect
122. #16837619C22semidirect
123. #16837614C22semidirect
124. #16837600C22semidirect
126. #16837595C22semidirect
127. #16837595C22semidirect
128. #16837595C22semidirect
129. #16837595C22semidirect
130. #16837594C22semidirect
131. #16837551C22semidirect
132. #16837547C22semidirect
134. #16837536C22semidirect
135. #16837536C22semidirect
137. #16837534C22semidirect
138. #16837534C22semidirect
139. #16837531C22semidirect
140. #16837530C22semidirect
141. #16837515C22semidirect
144. #16837514C22semidirect
145. #16837514C22semidirect
146. #16837514C22semidirect
147. #16837514C22semidirect
148. #16837514C22semidirect
149. #16837514C22semidirect
150. #16837514C22semidirect
151. #16837514C22semidirect
152. #16837513C22semidirect
153. #16837512C22semidirect
154. #16837512C22semidirect
155. #16837511C22semidirect
156. #16837511C22semidirect
157. #16837511C22semidirect
158. #16837511C22semidirect
159. #16837511C22semidirect
160. #16837505C22semidirect
161. #16837503C22semidirect
162. #16837503C22semidirect
163. #16837503C22semidirect
164. SD16×Dic59C22semidirect
165. SD16×Dic59C22semidirect
167. D8×Dic59C22semidirect
168. #16837476C22semidirect
169. #16837474C22semidirect
170. #16837471C22semidirect
171. C8×C22⋊D59C22semidirect
172. (C22⋊D59)⋊C8C22semidirect
173. #16837458C22semidirect
174. #16837456C22semidirect
175. #16837456C22semidirect
176. #16837444C22semidirect
177. C2×#14273659C22semidirect
178. #106×D59C22semidirect
179. #16837407C22semidirect
180. #16837403C22semidirect
181. C2×#14273648C22semidirect
182. C2×#14273648C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. M16×Dic59C22semidirect
186. C2×#14273637C22semidirect
187. #97×D59C22semidirect
190. C59×#546C22semidirect
191. D42×C59C22semidirect
192. C59×#496C22semidirect
193. C59×#469C22semidirect
194. C59×#465C22semidirect
195. C59×#463C22semidirect
196. C59×#459C22semidirect
197. C59×#450C22semidirect
198. C59×#449C22semidirect
199. C59×#447C22semidirect
200. C59×#447C22semidirect
202. C59×#435C22semidirect
599. D8×C59#41semidirect
752. D4×C59C2×#41semidirect
784. C22⋊D59AGL(1,ℤ/8)semidirect
839. C8×C59C2×#41semidirect
920. #3264D59semidirect
970. #546C2×D59semidirect
974. D42C2×D59semidirect
999. #496C2×D59semidirect
1034. #469C2×D59semidirect
1042. #465C2×D59semidirect
1046. #463C2×D59semidirect
1054. #459C2×D59semidirect
1056. #450C2×D59semidirect
1058. #449C2×D59semidirect
1065. #447C2×D59semidirect
1066. #447C2×D59semidirect
1100. #435C2×D59semidirect
1118. C59#61451semidirect
1522. D8#11745687semidirect
1694. D4C2×#11745687semidirect
1759. C8C2×#11745687semidirect

Maximal subgroups

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

subgroupindex
#214377012
D4×#117456872
#214371352
#214369962
#214368832
#214367982
#214365682
#214365612
#214364482
#214362372
#214362302
#214360572
#214360502
#214359132
#214359022
D8×C22⋊D592
#214355702
#214348292
#214347912
#214347872
#214342402
#214342352
#214342332
#214341862
#214341822
#214331062
AGL(1,ℤ/8)×Dic592
C2×#168375142
#442×D592
C59×#32642
#6145159