Finite Group Databasebeta

← #29469272

Subgroups — #29469272

Order 15104.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437678C211yesmaximal, characteristic, complemented
2#554×D59C211yesmaximal, characteristic, complemented
3#21437056C211yesmaximal, characteristic, complemented
4#21437053C211yesmaximal, characteristic, complemented
5#21437051C211yesmaximal, characteristic, complemented
6#21437050C211yesmaximal, characteristic, complemented
7#21437048C211yesmaximal, characteristic, complemented
8#21437046C211yesmaximal, characteristic, complemented
9#21437035C211yesmaximal, characteristic, complemented
10#21437009C211yesmaximal, characteristic, complemented
11#21437007C211yesmaximal, characteristic, complemented
12#21436992C211yesmaximal, characteristic, complemented
13#21436990C211yesmaximal, characteristic, complemented
14#21436974C211yesmaximal, characteristic, complemented
15#21436972C211yesmaximal, characteristic, complemented
16#21436960C211yesmaximal, characteristic, complemented
17#21436958C211yesmaximal, characteristic, complemented
18#21434647C211yesmaximal, characteristic, complemented
19#21434644C211yesmaximal, characteristic, complemented
20#21434641C211yesmaximal, characteristic, complemented
21#21433915C211yesmaximal, characteristic, complemented
22#21433915C211yesmaximal, characteristic, complemented
23#21433906C211yesmaximal, characteristic, complemented
24#21433894C211yesmaximal, characteristic, complemented
25#21433891C211yesmaximal, characteristic, complemented
26#21433891C211yesmaximal, characteristic, complemented
27#21433048C211yesmaximal, characteristic, complemented
28C4×#14273754C211yesmaximal, characteristic
29#21432901C211yesmaximal, characteristic
30#21432901C211yesmaximal, characteristic
31C59×#3388C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic
33Q8×Dic118C2211yescharacteristic, complemented
34#16838128C2211yescharacteristic, complemented
35#16838128C2211yescharacteristic, complemented
36#16838113C2211yescharacteristic
37#16838112—21no—
38#16838112C2211yescharacteristic
39#16838112C2211yescharacteristic, complemented
40#16838111C2211yescharacteristic
41#16838111C2211yescharacteristic
42#16838110—21no—
43#16838109C2211yescharacteristic
44#16838108—21no—
45#16838108—21no—
46#16838108C2211yescharacteristic
47#16838108C2211yescharacteristic
48#16838108C2211yescharacteristic, complemented
49#16838108C2211yescharacteristic, complemented
50#16838107—21no—
51#16838106—21no—
52#16838106—21no—
53#16838067—21no—
54#16838067C2211yescharacteristic, complemented
55#16837958—21no—
56#16837958—21no—
57#16837958C2211yescharacteristic
58#16837958C2211yescharacteristic
59#16837957—21no—
60#16837957C2211yescharacteristic
61C4⋊Q8×D59C2211yescharacteristic
62#125×D59C2211yescharacteristic
63#125×D59C2211yescharacteristic
64C22⋊Q8×D59—21no—
65C22⋊Q8×D59—21no—
66C22⋊Q8×D59—21no—
67C4×#11745689C2211yescharacteristic
68C4×#11745689C2211yescharacteristic
69C4×#11745689C2211yescharacteristic
70C4×Q8×D59—21no—
71C4×Q8×D59C2211yescharacteristic
72C4×D4×D59C2211yescharacteristic
73C4×D4×D59C2211yescharacteristic
74C4×D4×D59C2211yescharacteristic
75C2×C4⋊C4×D59—21no—
76#16837812C2211yescharacteristic, complemented
77#16837812C2211yescharacteristic, complemented
78#16837811C2211yescharacteristic, complemented
79#16837811C2211yescharacteristic, complemented
80#16837810C2211yescharacteristic, complemented
81#16837810C2211yescharacteristic, complemented
82#16837809C2211yescharacteristic, complemented
83#16837809C2211yescharacteristic, complemented
84#16837808C2211yescharacteristic, complemented
85#16837808C2211yescharacteristic, complemented
86#16837806C2211yescharacteristic, complemented
87#16837806C2211yescharacteristic, complemented
88#16837804C2211yescharacteristic, complemented
89#16837803C2211yescharacteristic, complemented
90#16837803C2211yescharacteristic, complemented
91#16837802C2211yescharacteristic, complemented
92#16837802C2211yescharacteristic, complemented
93#16837801C2211yescharacteristic, complemented
94#16837801C2211yescharacteristic, complemented
95#16837799C2211yescharacteristic, complemented
96#16837799C2211yescharacteristic, complemented
97#16837711C2211yescharacteristic, complemented
98#16837711C2211yescharacteristic, complemented
99#16837709C2211yescharacteristic, complemented
100#16837709C2211yescharacteristic, complemented
101#16837707C2211yescharacteristic, complemented
102#16837707C2211yescharacteristic, complemented
103#16837705C2211yescharacteristic, complemented
104#16837705C2211yescharacteristic, complemented
105#16837703C2211yescharacteristic
106#16837703C2211yescharacteristic
107#16837703C2211yescharacteristic, complemented
108#16837703C2211yescharacteristic, complemented
109#16837702C2211yescharacteristic
110#16837702C2211yescharacteristic
111#16837701C2211yescharacteristic
112#16837701C2211yescharacteristic
113#16837701C2211yescharacteristic, complemented
114#16837701C2211yescharacteristic, complemented
115#16837700C2211yescharacteristic
116#16837700C2211yescharacteristic
117#16837699C2211yescharacteristic
118#16837699C2211yescharacteristic
119#16837699C2211yescharacteristic, complemented
120#16837699C2211yescharacteristic, complemented
121#16837695C2211yescharacteristic, complemented
122#16837695C2211yescharacteristic, complemented
123#16837691C2211yescharacteristic
124#16837691C2211yescharacteristic
125#16837691C2211yescharacteristic, complemented
126#16837691C2211yescharacteristic, complemented
127#16837690C2211yescharacteristic
128#16837690C2211yescharacteristic
129#16837689C2211yescharacteristic
130#16837687C2211yescharacteristic, complemented
131#16837683C2211yescharacteristic
132#16837683C2211yescharacteristic, complemented
133#16837682C2211yescharacteristic
134#16837681C2211yescharacteristic
135#16837681C2211yescharacteristic
136#16837680C2211yescharacteristic
137#16837680C2211yescharacteristic
138#16837679C2211yescharacteristic, complemented
139#16837533C2211yescharacteristic, complemented
140#16837531C2211yescharacteristic, complemented
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837530C2211yescharacteristic, complemented
144C8×Dic118C2211yescharacteristic, complemented
145#16837526C2211yescharacteristic, complemented
146#16837515C2211yescharacteristic
147#16837515C2211yescharacteristic
148#16837513C2211yescharacteristic
149#16837512C2211yescharacteristic
150#16837512C2211yescharacteristic
151#16837511C2211yescharacteristic
152#16837505C2211yescharacteristic
153#16837503C2211yescharacteristic
154#16837500C2211yescharacteristic
155#16837500C2211yescharacteristic
156SD16×Dic59C2211yescharacteristic
157SD16×Dic59C2211yescharacteristic
158C4×#11745671C2211yescharacteristic
159#16837487C2211yescharacteristic
160#16837487C2211yescharacteristic
161C4×D472C2211yescharacteristic
162#16837484C2211yescharacteristic
163#16837484C2211yescharacteristic
164C4×#11745669C2211yescharacteristic
165#16837482C2211yescharacteristic
166#16837482C2211yescharacteristic
167#16837443C2211yescharacteristic
168#16837443C2211yescharacteristic
169#16837443C2211yescharacteristic
170#16837443C2211yescharacteristic
171#16837441C2211yescharacteristic
172#16837441C2211yescharacteristic
173#16837441C2211yescharacteristic
174#16837441C2211yescharacteristic
175#16837441C2211yescharacteristic
176#16837424C2211yescharacteristic
177#16837424C2211yescharacteristic
178#16837424C2211yescharacteristic
179#16837405C2211yescharacteristic
180#16837405C2211yescharacteristic
181#16837405C2211yescharacteristic
182#16837402C2211yescharacteristic
183#16837402C2211yescharacteristic
184#16837402C2211yescharacteristic
185#16837354C2211yescharacteristic
186#16837354C2211yescharacteristic
187C4×#11745659C2211yescharacteristic
188C59×#557C2211yescharacteristic, complemented
189C59×#554C2211yescharacteristic
190C59×#501C2211yescharacteristic, complemented
191C59×#501C2211yescharacteristic, complemented
192C59×#499C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#479C2211yescharacteristic, complemented
195C59×#478C2211yescharacteristic
196C59×#478C2211yescharacteristic
197C59×#476C2211yescharacteristic
198C59×#475C2211yescharacteristic, complemented
199C59×#446C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic
201C59×#440C2211yescharacteristic
202C4×SD16×C59C2211yescharacteristic
203C2×#11745689C2311yescharacteristic
204C2×Q8×D59—21no—
205C2×Q8×D59—21no—
206C2×Q8×D59D411yescharacteristic
207C2×D4×D59C2311yescharacteristic
208C22×C4×D59—21no—
209C22×C4×D59—21no—
210C22×C4×D59—21no—
211#14273754Q818yescomplemented
212C2×#11745671C2311yescharacteristic
213C2×D472C2311yescharacteristic
214C2×#11745669C2311yescharacteristic
215C2×#11745659C2311yescharacteristic
216C2×#11745659C2311yescharacteristic
217C2×#11745659C2311yescharacteristic
218C2×#11745659C2311yescharacteristic
219#14273727—21no—
220#14273727C2311yescharacteristic
221#14273727C2311yescharacteristic
222#14273726—21no—
223#14273726—21no—
224#14273726—21no—
225#14273726—21no—
226#14273726—21no—
227#14273726C2311yescharacteristic
228#14273726C2311yescharacteristic
229#14273726C2311yescharacteristic
230#14273726C2311yescharacteristic
231#14273726C2311yescharacteristic
232#14273726C2311yescharacteristic
233#14273725—21no—
234#14273719—21no—
235#14273719—21no—
236#14273719C2311yescharacteristic
237#14273719C2311yescharacteristic
238#14273719C2311yescharacteristic
239#14273719C2311yescharacteristic
240#14273718—21no—
241#14273718—21no—
242#14273718C2311yescharacteristic
243#14273718C2311yescharacteristic
244#14273718C2311yescharacteristic
245#14273718C2311yescharacteristic
246#14273718C2311yescharacteristic
247#14273718C2311yescharacteristic
248#14273717—21no—
249#14273717—21no—
250#14273717—21no—
251#14273717—21no—
252#14273707—21no—
253#14273707—21no—
254#14273707—21no—
255#14273707—21no—
256#14273707—21no—
257#14273707—21no—
258#14273706—21no—
259#14273706—21no—
260#14273706—21no—
261#14273705—21no—
262#14273705—21no—
263#14273705—21no—
264#14273705—21no—
265#14273705—21no—
266#14273705—21no—
267#14273705—21no—
268#14273705—21no—
269#14273705—21no—
270#14273705—21no—
271#14273705—21no—
272#14273705—21no—
273#14273705—21no—
274#14273705—21no—
275#14273705—21no—
276#14273705—21no—
277#14273705—21no—
278#14273705—21no—
279#14273704—21no—
280#14273704—21no—
281#14273704—21no—
282#14273704—21no—
283#14273704—21no—
284#14273704—21no—
285#14273703—21no—
286#14273703—21no—
287#14273703—21no—
288#14273703—21no—
289#14273703—21no—
290#14273703—21no—
291Q8×Dic59—21no—
292Q8×Dic59D411yescharacteristic
293Q8×Dic59C2311yescharacteristic
294Q8×Dic59C2311yescharacteristic
295Q8×Dic59C2311yescharacteristic
296C4×Dic118—21no—
297C4×Dic118—21no—
298C4×Dic118—21no—
299C4×Dic118C2311yescharacteristic
300C4×Dic118C2311yescharacteristic
301C4×Dic118C2311yescharacteristic
302#14273692—21no—
303#14273692—21no—
304#14273692—21no—
305#14273692—21no—
306#14273692—21no—
307#14273692D411yescharacteristic
308#14273692D411yescharacteristic
309#14273692D411yescharacteristic
310C4×D236—21no—
311C4×D236—21no—
312C4×D236—21no—
313C4×D236C2311yescharacteristic
314C4×D236C2311yescharacteristic
315C4×D236C2311yescharacteristic
316C4×D236C2311yescharacteristic
317C4×D236C2311yescharacteristic
318C4×D236C2311yescharacteristic
319D4×Dic59C2311yescharacteristic
320D4×Dic59C2311yescharacteristic
321D4×Dic59C2311yescharacteristic
322#14273689—21no—
323#14273689—21no—
324#14273689—21no—
325#14273689C2311yescharacteristic
326#14273689C2311yescharacteristic
327#14273689C2311yescharacteristic
328#14273689C2311yescharacteristic
329#14273689C2311yescharacteristic
330#14273689C2311yescharacteristic
331C4×C22⋊D59—21no—
332C4×C22⋊D59—21no—
333C4×C22⋊D59—21no—
334(C22⋊D59)⋊C4—21no—
335(C22⋊D59)⋊C4—21no—
336(C22⋊D59)⋊C4—21no—
337#14273685—21no—
338#14273685—21no—
339#14273685—21no—
340#14273685C2311yescharacteristic
341#14273685C2311yescharacteristic
342#14273685C2311yescharacteristic
343C2×C4⋊Dic59—21no—
344C2×Dic59⋊C4—21no—
345C2×Dic59⋊C4—21no—
346C4⋊C4×D59—21no—
347C4⋊C4×D59—21no—
348C4⋊C4×D59—21no—
349C4⋊C4×D59—21no—
350C4⋊C4×D59—21no—
351C4⋊C4×D59—21no—
352C4⋊C4×D59—21no—
353C4⋊C4×D59—21no—
354C4⋊C4×D59—21no—
355C4⋊C4×D59—21no—
356C4⋊C4×D59—21no—
357C4⋊C4×D59—21no—
358C4⋊C4×D59D411yescharacteristic
359C4⋊C4×D59D411yescharacteristic
360C4⋊C4×D59D411yescharacteristic
361C4⋊C4×D59C2311yescharacteristic
362C4⋊C4×D59C2311yescharacteristic
363C4⋊C4×D59C2311yescharacteristic
364C22⋊C4×D59—21no—
365C22⋊C4×D59—21no—
366C22⋊C4×D59—21no—
367C42×D59—21no—
368C42×D59—21no—
369C42×D59—21no—
370C42×D59C2311yescharacteristic
371C42×D59C2311yescharacteristic
372C42×D59C2311yescharacteristic
373#14273661C2311yescharacteristic
374#14273661C2311yescharacteristic
375#14273661C2311yescharacteristic
376#14273661C2311yescharacteristic
377#14273661C2311yescharacteristic
378#14273660C2311yescharacteristic
379#14273660C2311yescharacteristic
380#14273660C2311yescharacteristic
381#14273660C2311yescharacteristic
382#14273660C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273660C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273659C2311yescharacteristic
388#14273659C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400C4⋊(C59⋊C8)C2311yescharacteristic
401C4⋊(C59⋊C8)C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273638C2311yescharacteristic
428#14273638C2311yescharacteristic
429#14273637C2311yescharacteristic
430#14273637C2311yescharacteristic
431C4×C59⋊C8C2311yescharacteristic
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C2×SD16×C59C2311yescharacteristic
437C4⋊Q8×C59—21no—
438C4⋊Q8×C59C2311yescharacteristic
439C4⋊Q8×C59C2311yescharacteristic
440#125×C59—21no—
441#125×C59—21no—
442#125×C59C2311yescharacteristic
443#125×C59C2311yescharacteristic
444#125×C59C2311yescharacteristic
445#125×C59C2311yescharacteristic
446C22⋊Q8×C59—21no—
447C22⋊Q8×C59—21no—
448C22⋊Q8×C59—21no—
449C4×Q8×C59—21no—
450C4×Q8×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×Q8×C59C2311yescharacteristic
453C4×Q8×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C2×C4⋊C4×C59—21no—
458#107×C59C2311yescharacteristic
459#107×C59C2311yescharacteristic
460#107×C59C2311yescharacteristic
461#107×C59C2311yescharacteristic
462#106×C59C2311yescharacteristic
463#106×C59C2311yescharacteristic
464#106×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469C4⋊C8×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#97×C59C2311yescharacteristic
477#97×C59C2311yescharacteristic
478C4×C8×C59C2311yescharacteristic
479C23×D59—21no—
480C2×Q8×C59—21no—
481C2×Q8×C59—21no—
482C2×Q8×C59C2×D411yescharacteristic
483C2×Q8×C59C2411yescharacteristic
484C2×D4×C59C2411yescharacteristic
485C22×C4×C59—21no—
486C22×C4×C59—21no—
487C22×C4×C59—21no—
488C2×C22⋊D59—21no—
489C22×Dic59—21no—
490C22×Dic59—21no—
491C22×Dic59—21no—
492#11745689—22no—
493#11745689C2×Q814yes—
494Q8×D59—42no—
495Q8×D59—44no—
496Q8×D59—82no—
497D4×D59—22no—
498D4×D59C2×Q814yescomplemented
499C2×D236—21no—
500C2×D236C2411yescharacteristic
501C2×D236C2411yescharacteristic
502C2×C4×D59—21no—
503C2×C4×D59—21no—
504C2×C4×D59—21no—
505C2×C4×D59—21no—
506C2×C4×D59—21no—
507C2×C4×D59—21no—
508C2×C4×D59—21no—
509C2×C4×D59—21no—
510C2×C4×D59—21no—
511C2×C4×D59—21no—
512C2×C4×D59—21no—
513C2×C4×D59—21no—
514C2×C4×D59—21no—
515C2×C4×D59—21no—
516C2×C4×D59—21no—
517C2×C4×D59—21no—
518C2×C4×D59—44no—
519C2×C4×D59—82no—
520C2×C4×D59—82no—
521C2×C4×D59C2×D411yescharacteristic
522C2×C4×D59C2×D411yescharacteristic
523C2×C4×D59C2×D411yescharacteristic
524C2×C4×D59C2×D411yescharacteristic
525C2×C4×D59C2×D411yescharacteristic
526C2×C4×D59C2×D411yescharacteristic
527C2×C4×D59C2411yescharacteristic
528C2×Dic118—21no—
529C2×Dic118—21no—
530C2×Dic118—21no—
531C2×Dic118—21no—
532C2×Dic118—21no—
533C2×Dic118—21no—
534C2×Dic118—21no—
535C2×Dic118—21no—
536C2×Dic118C2×D411yescharacteristic
537C2×Dic118C2×D411yescharacteristic
538C2×Dic118C2×D411yescharacteristic
539SD16×C59C2×Q814yescomplemented
540C2×C8×C59C2411yescharacteristic
541C2×C8×C59C2411yescharacteristic
542C2×C8×C59C2411yescharacteristic
543C2×C8×C59C2411yescharacteristic
544C4⋊C4×C59—21no—
545C4⋊C4×C59—21no—
546C4⋊C4×C59—21no—
547C4⋊C4×C59—21no—
548C4⋊C4×C59—21no—
549C4⋊C4×C59—21no—
550C4⋊C4×C59—21no—
551C4⋊C4×C59—21no—
552C4⋊C4×C59—21no—
553C4⋊C4×C59—21no—
554C4⋊C4×C59—21no—
555C4⋊C4×C59—21no—
556C4⋊C4×C59—21no—
557C4⋊C4×C59C2×D411yescharacteristic
558C4⋊C4×C59C2×D411yescharacteristic
559C4⋊C4×C59C2×D411yescharacteristic
560C4⋊C4×C59C2411yescharacteristic
561C4⋊C4×C59C2411yescharacteristic
562C4⋊C4×C59C2411yescharacteristic
563C4⋊C4×C59C2411yescharacteristic
564C4⋊C4×C59C2411yescharacteristic
565C4⋊C4×C59C2411yescharacteristic
566C22⋊C4×C59—21no—
567C22⋊C4×C59—21no—
568C22⋊C4×C59—21no—
569C42×C59—21no—
570C42×C59—21no—
571C42×C59—21no—
572C42×C59C2411yescharacteristic
573C42×C59C2411yescharacteristic
574C42×C59C2411yescharacteristic
575C22⋊Dic59—21no—
576C22⋊Dic59—21no—
577C22⋊Dic59—21no—
578#11745671C2×Q814yescomplemented
579#11745669C2×Q814yescomplemented
580(C2×D59)⋊C4—21no—
581(C2×D59)⋊C4—21no—
582(C2×D59)⋊C4—21no—
583(C2×D59)⋊C4—21no—
584(C2×D59)⋊C4—21no—
585(C2×D59)⋊C4—21no—
586(C2×D59)⋊C4—21no—
587(C2×D59)⋊C4—21no—
588(C2×D59)⋊C4—21no—
589(C2×D59)⋊C4—21no—
590(C2×D59)⋊C4—21no—
591(C2×D59)⋊C4—21no—
592(C2×D59)⋊C4—21no—
593(C2×D59)⋊C4—21no—
594(C2×D59)⋊C4—21no—
595C4⋊Dic59—21no—
596C4⋊Dic59—21no—
597C4⋊Dic59—21no—
598C4⋊Dic59—21no—
599C4⋊Dic59—21no—
600C4⋊Dic59—21no—
601C4⋊Dic59—21no—
602C4⋊Dic59—21no—
603C4⋊Dic59—21no—
604C4⋊Dic59—21no—
605C4⋊Dic59—21no—
606C4⋊Dic59C2×D411yescharacteristic
607C4⋊Dic59C2×D411yescharacteristic
608C4⋊Dic59C2×D411yescharacteristic
609C4⋊Dic59C2411yescharacteristic
610C4⋊Dic59C2411yescharacteristic
611C4⋊Dic59C2411yescharacteristic
612C4⋊Dic59C2411yescharacteristic
613C4⋊Dic59C2411yescharacteristic
614C4⋊Dic59C2411yescharacteristic
615Dic59⋊C4—21no—
616Dic59⋊C4—21no—
617Dic59⋊C4—21no—
618Dic59⋊C4—21no—
619Dic59⋊C4—21no—
620Dic59⋊C4—21no—
621Dic59⋊C4—21no—
622Dic59⋊C4—21no—
623Dic59⋊C4—21no—
624Dic59⋊C4—21no—
625Dic59⋊C4—21no—
626Dic59⋊C4—21no—
627Dic59⋊C4—21no—
628Dic59⋊C4—21no—
629Dic59⋊C4—21no—
630Dic59⋊C4—21no—
631Dic59⋊C4—21no—
632Dic59⋊C4—21no—
633Dic59⋊C4—21no—
634Dic59⋊C4—21no—
635Dic59⋊C4—21no—
636Dic59⋊C4—21no—
637Dic59⋊C4—21no—
638Dic59⋊C4C2×D411yescharacteristic
639Dic59⋊C4C2×D411yescharacteristic
640Dic59⋊C4C2×D411yescharacteristic
641Dic59⋊C4C2×D411yescharacteristic
642Dic59⋊C4C2×D411yescharacteristic
643Dic59⋊C4C2×D411yescharacteristic
644C4×Dic59—21no—
645C4×Dic59—21no—
646C4×Dic59—21no—
647C4×Dic59—21no—
648C4×Dic59—21no—
649C4×Dic59—21no—
650C4×Dic59C2×D411yescharacteristic
651C4×Dic59C2×D411yescharacteristic
652C4×Dic59C2×D411yescharacteristic
653C4×Dic59C2×D411yescharacteristic
654C4×Dic59C2×D411yescharacteristic
655C4×Dic59C2×D411yescharacteristic
656C4×Dic59C2411yescharacteristic
657C4×Dic59C2411yescharacteristic
658C4×Dic59C2411yescharacteristic
659C2×C59⋊C8C2411yescharacteristic
660C2×C59⋊C8C2411yescharacteristic
661C2×C59⋊C8C2411yescharacteristic
662C2×C59⋊C8C2411yescharacteristic
663D472C2×Q814yescomplemented
664#11745659—22no—
665#11745659—22no—
666#11745659—22no—
667#11745659C2×Q814yescomplemented
668C23×C59—21no—
669C22×D59—21no—
670C22×D59—21no—
671C22×D59—24no—
672C22×D59—42no—
673C22×D59—42no—
674C22×D59C22×D411yescharacteristic
675Q8×C59—21no—
676Q8×C59—41no—
677Q8×C59—42no—
678Q8×C59—81no—
679Q8×C59C22×Q812yes—
680D4×C59—21no—
681D4×C59C22×Q812yes—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—42no—
690C2×C4×C59—81no—
691C2×C4×C59—81no—
692C2×C4×C59C22×D411yescharacteristic
693C2×C4×C59C22×D411yescharacteristic
694C2×C4×C59C22×D411yescharacteristic
695C2×C4×C59C22×D411yescharacteristic
696C2×C4×C59C22×D411yescharacteristic
697C2×C4×C59C22×D411yescharacteristic
698C2×C4×C59C2511yescharacteristic
699C22⋊D59—24no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—42no—
707C2×Dic59—81no—
708C2×Dic59—81no—
709C2×Dic59C22×D411yescharacteristic
710C2×Dic59C22×D411yescharacteristic
711C2×Dic59C22×D411yescharacteristic
712C2×Dic59C22×D411yescharacteristic
713C2×Dic59C22×D411yescharacteristic
714C2×Dic59C22×D411yescharacteristic
715C2×Dic59C22×D411yescharacteristic
716D236—24no—
717D236—21no—
718D236—21no—
719D236C22×Q812yes—
720D236C22×Q812yes—
721C4×D59—24no—
722C4×D59—22no—
723C4×D59—41no—
724C4×D59—41no—
725C4×D59—41no—
726C4×D59—41no—
727C4×D59—41no—
728C4×D59—42no—
729C4×D59—42no—
730C4×D59—42no—
731C4×D59—42no—
732C4×D59—42no—
733C4×D59—42no—
734C4×D59—42no—
735C4×D59—42no—
736C4×D59—81no—
737C4×D59—81no—
738C4×D59—81no—
739C4×D59—81no—
740C4×D59—81no—
741C4×D59—81no—
742C4×D59—81no—
743C4×D59C22×Q812yes—
744C4×D592−1+412yes—
745Dic118—22no—
746Dic118—22no—
747Dic118—41no—
748Dic118—42no—
749Dic118—42no—
750Dic118—81no—
751Dic118—81no—
752Dic118—81no—
753Dic118—81no—
754Dic118—81no—
755Dic118—81no—
756C8×C59—21no—
757C8×C59—21no—
758C8×C59—21no—
759C8×C59C22×Q812yes—
760C59⋊C8—21no—
761C59⋊C8—21no—
762C59⋊C8—21no—
763C59⋊C8C22×Q812yes—
764#61367—591nomaximal, Sylow
765C22×C59—22no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59C23×D411yescharacteristic
769C2×D59—21no—
770C2×D59—21no—
771C2×D59—22no—
772C2×D59—22no—
773C2×D59—48no—
774C2×D59—41no—
775C2×D59—41no—
776C2×D59—41no—
777C2×D59—41no—
778C2×D59D4×Q812yes—
779C4×C59—21no—
780C4×C59—21no—
781C4×C59—21no—
782C4×C59—22no—
783C4×C59—21no—
784C4×C59—21no—
785C4×C59—21no—
786C4×C59—41no—
787C4×C59—41no—
788C4×C59—41no—
789C4×C59—41no—
790C4×C59—41no—
791C4×C59—41no—
792C4×C59C23×Q811yescharacteristic
793C4×C59C2×2−1+411yescharacteristic
794Dic59—21no—
795Dic59—21no—
796Dic59—21no—
797Dic59—21no—
798Dic59—21no—
799Dic59—41no—
800Dic59—41no—
801Dic59—41no—
802Dic59—41no—
803Dic59—41no—
804Dic59—41no—
805Dic59D4×Q812yes—
806Dic59#57512yes—
807Q8×#41—591no—
808C2×#554—591no—
809#3389—591no—
810#3389—591no—
811#3389—591no—
812#3389—591no—
813#3388—591no—
814#3388—591no—
815#3388—591no—
816#3388D5911yescharacteristic, complemented
817#3385—591no—
818#3385—591no—
819#3384—591no—
820#3384—591no—
821#3381—591no—
822#3381—591no—
823#3380—591no—
824#3380—591no—
825#3166—591no—
826#3166—591no—
827#3165—591no—
828#3080—591no—
829#3080—591no—
830#3079—591no—
831#3077—591no—
832#3077—591no—
833#3077—591no—
834Q8×M16—591no—
835C4×AGL(1,ℤ/8)—591no—
836C4×AGL(1,ℤ/8)—591no—
837C4×AGL(1,ℤ/8)—591no—
838C2×C59—42no—
839C2×C59C2×D4×Q811yescharacteristic
840C2×C59C2×#57511yescharacteristic
841C2×C59#358511yescharacteristic
842D59—22no—
843D59—42no—
844D59—42no—
845C2×AGL(1,ℤ/8)—591no—
846Q82—591no—
847#557—591no—
848#557—591no—
849#557C2×D5911yescharacteristic, complemented
850#554—591no—
851#554—591no—
852#554—591no—
853#554—591no—
854#554—591no—
855#554—591no—
856#554—591no—
857#554—591no—
858#554—591no—
859#554—591no—
860#554—1181no—
861#554—1181no—
862#554—1181no—
863#554—1181no—
864#554—1181no—
865#554—1181no—
866#554—1181no—
867#554C2×D5911yescharacteristic
868D4×Q8—591no—
869D4×Q8—1181no—
870#533—591no—
871#533—591no—
872#533—591no—
873#533—1181no—
874#533—1181no—
875#533—1181no—
876C2×C4⋊Q8—591no—
877C2×#125—591no—
878C2×#125—591no—
879C2×C22⋊Q8—1181no—
880C2×C22⋊Q8—1181no—
881C2×C22⋊Q8—1181no—
882C4×#41—591no—
883C4×#41—591no—
884C4×#41—591no—
885C2×C4×Q8—591no—
886C2×C4×Q8—1181no—
887C2×C4×D4—591no—
888C2×C4×D4—591no—
889C2×C4×D4—591no—
890C22×C4⋊C4—1181no—
891#501—591no—
892#501—591no—
893#501—591no—
894#501—591no—
895#501—591no—
896#501—591no—
897#501—591no—
898#501—591no—
899#501—591no—
900#501—591no—
901#501C2×D5911yescharacteristic, complemented
902#501C2×D5911yescharacteristic, complemented
903#500—591no—
904#500—591no—
905#499—591no—
906#499—591no—
907#499—591no—
908#499—591no—
909#499—591no—
910#499—591no—
911#499—591no—
912#499C2×D5911yescharacteristic, complemented
913#498—591no—
914#498—591no—
915#479—591no—
916#479—591no—
917#479—591no—
918#479—591no—
919#479—591no—
920#479—591no—
921#479C2×D5911yescharacteristic, complemented
922#479C2×D5911yescharacteristic, complemented
923#478—591no—
924#478—591no—
925#478—591no—
926#478—591no—
927#478—591no—
928#478—591no—
929#478—591no—
930#478—591no—
931#478—591no—
932#478—591no—
933#478—591no—
934#478—591no—
935#478—591no—
936#478—591no—
937#478—591no—
938#478—591no—
939#478—591no—
940#478—591no—
941#478C2×D5911yescharacteristic
942#478C2×D5911yescharacteristic
943#477—591no—
944#477—591no—
945#476—591no—
946#476—591no—
947#476—591no—
948#476—591no—
949#476—591no—
950#476—591no—
951#476—591no—
952#476C2×D5911yescharacteristic
953#475—591no—
954#475C2×D5911yescharacteristic, complemented
955#474—591no—
956#474—591no—
957#474—591no—
958#474—591no—
959#474—591no—
960#474—591no—
961#474—591no—
962#474—591no—
963#446—591no—
964#446—591no—
965#446—591no—
966#446—591no—
967#446—591no—
968#446C2×D5911yescharacteristic, complemented
969C8×Q8—591no—
970C8×Q8—591no—
971#442—591no—
972#442—591no—
973#442—591no—
974#442—591no—
975#442—591no—
976#442—591no—
977#440—591no—
978#440—591no—
979#440—591no—
980#440—591no—
981#440C2×D5911yescharacteristic
982#440C2×D5911yescharacteristic
983C4×SD16—591no—
984C4×SD16—591no—
985C4×SD16—591no—
986C4×SD16—591no—
987C4×SD16—591no—
988C4×SD16C2×D5911yescharacteristic
989C4×D8—591no—
990C4×D8—591no—
991C4×D8—591no—
992C4×D8—591no—
993C4×D8—591no—
994C4×D8—591no—
995#428—591no—
996#428—591no—
997#428—591no—
998#428—591no—
999#428—591no—
1000#428—591no—
1001#428—591no—
1002#428—591no—
1003#428—591no—
1004#423—591no—
1005#423—591no—
1006#423—591no—
1007#418—591no—
1008#418—591no—
1009#418—591no—
1010#417—591no—
1011#417—591no—
1012#417—591no—
1013C4×M16—591no—
1014C4×M16—591no—
1015C4×M16—591no—
1016C59#6136711yescharacteristic, complemented, Sylow
1017C2×#41—591no—
1018C22×Q8—591no—
1019C22×Q8—1181no—
1020C22×Q8—1181no—
1021C22×D4—591no—
1022C23×C4—1181no—
1023C23×C4—1181no—
1024C23×C4—1181no—
1025AGL(1,ℤ/8)—598no—
1026C2×SD16—591no—
1027C2×SD16C22×D5911yescharacteristic
1028C2×D8—591no—
1029C2×D8—591no—
1030C2×M16—591no—
1031C2×M16—591no—
1032C2×M16—591no—
1033C2×M16—591no—
1034C4⋊Q8—21no—
1035C4⋊Q8—591no—
1036C4⋊Q8—591no—
1037C4⋊Q8—591no—
1038C4⋊Q8—591no—
1039C4⋊Q8—591no—
1040C4⋊Q8—591no—
1041C4⋊Q8—591no—
1042C4⋊Q8—591no—
1043C4⋊Q8—1181no—
1044C4⋊Q8—1181no—
1045C4⋊Q8—1181no—
1046C4⋊Q8—1181no—
1047C4⋊Q8—1181no—
1048C4⋊Q8—1181no—
1049C4⋊Q8—1181no—
1050C4⋊Q8C22×D5911yescharacteristic
1051C4⋊Q8C22×D5911yescharacteristic
1052#125—21no—
1053#125—21no—
1054#125—591no—
1055#125—591no—
1056#125—591no—
1057#125—591no—
1058#125—591no—
1059#125—591no—
1060#125—591no—
1061#125—591no—
1062#125—591no—
1063#125—591no—
1064#125—1181no—
1065#125—1181no—
1066#125—1181no—
1067#125—1181no—
1068#125—1181no—
1069#125—1181no—
1070#125—1181no—
1071#125—1181no—
1072#125C22×D5911yescharacteristic
1073#125C22×D5911yescharacteristic
1074#125C22×D5911yescharacteristic
1075#125C22×D5911yescharacteristic
1076C22⋊Q8—21no—
1077C22⋊Q8—21no—
1078C22⋊Q8—21no—
1079C22⋊Q8—1181no—
1080C22⋊Q8—1181no—
1081C22⋊Q8—1181no—
1082C22⋊Q8—1181no—
1083C22⋊Q8—1181no—
1084C22⋊Q8—1181no—
1085C22⋊Q8—1181no—
1086C22⋊Q8—1181no—
1087C22⋊Q8—1181no—
1088C22⋊Q8—1181no—
1089C22⋊Q8—1181no—
1090C22⋊Q8—1181no—
1091C22⋊Q8—1181no—
1092C22⋊Q8—1181no—
1093C22⋊Q8—1181no—
1094C22⋊Q8—1181no—
1095C22⋊Q8—1181no—
1096C22⋊Q8—1181no—
1097C22⋊Q8—1181no—
1098C22⋊Q8—1181no—
1099C22⋊Q8—1181no—
1100C22⋊Q8—1181no—
1101C22⋊Q8—1181no—
1102C22⋊Q8—1181no—
1103C22⋊Q8—1181no—
1104C22⋊Q8—1181no—
1105C22⋊Q8—1181no—
1106C22⋊Q8—1181no—
1107C22⋊Q8—1181no—
1108C22⋊Q8—1181no—
1109C22⋊Q8—1181no—
1110C22⋊Q8—1181no—
1111C22⋊Q8—1181no—
1112C22⋊Q8—1181no—
1113C22⋊Q8—1181no—
1114C22⋊Q8—1181no—
1115C22⋊Q8—1181no—
1116C22⋊Q8—1181no—
1117C22⋊Q8—1181no—
1118C4×Q8—21no—
1119C4×Q8—591no—
1120C4×Q8—591no—
1121C4×Q8—591no—
1122C4×Q8—591no—
1123C4×Q8—591no—
1124C4×Q8—591no—
1125C4×Q8—591no—
1126C4×Q8—591no—
1127C4×Q8—591no—
1128C4×Q8—591no—
1129C4×Q8—1181no—
1130C4×Q8—1181no—
1131C4×Q8—1181no—
1132C4×Q8—1181no—
1133C4×Q8—1181no—
1134C4×Q8—1181no—
1135C4×Q8—1181no—
1136C4×Q8—1181no—
1137C4×Q8—1181no—
1138C4×Q8C22×D5911yescharacteristic
1139C4×Q8C22×D5911yescharacteristic
1140C4×Q8C22×D5911yescharacteristic
1141C4×Q8C22×D5911yescharacteristic
1142C4×D4—591no—
1143C4×D4—591no—
1144C4×D4—591no—
1145C4×D4—591no—
1146C4×D4—591no—
1147C4×D4—591no—
1148C4×D4—591no—
1149C4×D4—591no—
1150C4×D4—591no—
1151C4×D4—591no—
1152C4×D4—591no—
1153C4×D4—591no—
1154C4×D4—591no—
1155C4×D4—591no—
1156C4×D4—591no—
1157C4×D4—1181no—
1158C4×D4—1181no—
1159C4×D4—1181no—
1160C4×D4—1181no—
1161C4×D4—1181no—
1162C4×D4—1181no—
1163C4×D4—1181no—
1164C4×D4—1181no—
1165C4×D4—1181no—
1166C4×D4—1181no—
1167C4×D4—1181no—
1168C4×D4—1181no—
1169C4×D4C22×D5911yescharacteristic
1170C4×D4C22×D5911yescharacteristic
1171C4×D4C22×D5911yescharacteristic
1172#117—591no—
1173#117—591no—
1174#117—591no—
1175#117—1181no—
1176#117—1181no—
1177#117—1181no—
1178C2×C4⋊C4—21no—
1179C2×C4⋊C4—591no—
1180C2×C4⋊C4—591no—
1181C2×C4⋊C4—591no—
1182C2×C4⋊C4—591no—
1183C2×C4⋊C4—591no—
1184C2×C4⋊C4—591no—
1185C2×C4⋊C4—1181no—
1186C2×C4⋊C4—1181no—
1187C2×C4⋊C4—1181no—
1188C2×C4⋊C4—1181no—
1189C2×C4⋊C4—1181no—
1190C2×C4⋊C4—1181no—
1191C2×C4⋊C4—1181no—
1192C2×C4⋊C4—1181no—
1193C2×C4⋊C4—1181no—
1194C2×C4⋊C4—1181no—
1195C2×C4⋊C4—1181no—
1196C2×C4⋊C4—1181no—
1197C2×C4⋊C4—1181no—
1198C2×C4⋊C4—1181no—
1199C2×C4⋊C4—1181no—
1200C2×C22⋊C4—1181no—
1201C2×C22⋊C4—1181no—
1202C2×C22⋊C4—1181no—
1203C2×C42—591no—
1204C2×C42—591no—
1205C2×C42—591no—
1206C2×C42—1181no—
1207C2×C42—1181no—
1208C2×C42—1181no—
1209#107—591no—
1210#107—591no—
1211#107—591no—
1212#107—591no—
1213#107—591no—
1214#107—591no—
1215#107—591no—
1216#107—591no—
1217#107—591no—
1218#107—591no—
1219#107—591no—
1220#107—591no—
1221#107—591no—
1222#107—591no—
1223#107C22×D5911yescharacteristic
1224#107C22×D5911yescharacteristic
1225#107C22×D5911yescharacteristic
1226#107C22×D5911yescharacteristic
1227#106—591no—
1228#106—591no—
1229#106—591no—
1230#106—591no—
1231#106—591no—
1232#106—591no—
1233#106—591no—
1234#106—591no—
1235#106—591no—
1236#106—591no—
1237#106—591no—
1238#106—591no—
1239#106—591no—
1240#106C22×D5911yescharacteristic
1241#106C22×D5911yescharacteristic
1242#106C22×D5911yescharacteristic
1243#106C22×D5911yescharacteristic
1244#106C22×D5911yescharacteristic
1245C4⋊C8—591no—
1246C4⋊C8—591no—
1247C4⋊C8—591no—
1248C4⋊C8—591no—
1249C4⋊C8—591no—
1250C4⋊C8—591no—
1251C4⋊C8—591no—
1252C4⋊C8—591no—
1253C4⋊C8—591no—
1254C4⋊C8C22×D5911yescharacteristic
1255C4⋊C8C22×D5911yescharacteristic
1256C4⋊C8C22×D5911yescharacteristic
1257#103—591no—
1258#103—591no—
1259#103—591no—
1260#103C22×D5911yescharacteristic
1261#103C22×D5911yescharacteristic
1262#103C22×D5911yescharacteristic
1263#102—591no—
1264#102—591no—
1265#102—591no—
1266#102—591no—
1267#102—591no—
1268#102—591no—
1269#102—591no—
1270#102—591no—
1271#102—591no—
1272#102—591no—
1273#102—591no—
1274#102—591no—
1275#102—591no—
1276#102—591no—
1277#102—591no—
1278#102C22×D5911yescharacteristic
1279#102C22×D5911yescharacteristic
1280#102C22×D5911yescharacteristic
1281#97—591no—
1282#97—591no—
1283#97—591no—
1284#97—591no—
1285#97C22×D5911yescharacteristic
1286#97C22×D5911yescharacteristic
1287C4×C8—591no—
1288C4×C8—591no—
1289C4×C8—591no—
1290C4×C8—591no—
1291C4×C8—591no—
1292C4×C8C22×D5911yescharacteristic
1293C24—1181no—
1294#41—594no—
1295#41—1182no—
1296C2×Q8—21no—
1297C2×Q8—21no—
1298C2×Q8—591no—
1299C2×Q8—591no—
1300C2×Q8—591no—
1301C2×Q8—1181no—
1302C2×Q8—1181no—
1303C2×Q8—1181no—
1304C2×Q8—1181no—
1305C2×Q8—1181no—
1306C2×Q8—1181no—
1307C2×Q8—1181no—
1308C2×Q8—1181no—
1309C2×Q8—4722no—
1310C2×Q8—2362no—
1311C2×Q8—2364no—
1312C2×Q8D4×D5911yescharacteristic
1313C2×Q8C23×D5911yescharacteristic
1314C2×D4—594no—
1315C2×D4—591no—
1316C2×D4—591no—
1317C2×D4—1181no—
1318C2×D4—1182no—
1319C2×D4—1181no—
1320C2×D4C23×D5911yescharacteristic
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—591no—
1325C22×C4—591no—
1326C22×C4—591no—
1327C22×C4—591no—
1328C22×C4—591no—
1329C22×C4—591no—
1330C22×C4—591no—
1331C22×C4—1181no—
1332C22×C4—1181no—
1333C22×C4—1181no—
1334C22×C4—1181no—
1335C22×C4—1181no—
1336C22×C4—1181no—
1337C22×C4—1181no—
1338C22×C4—1181no—
1339C22×C4—1181no—
1340C22×C4—1181no—
1341C22×C4—1181no—
1342C22×C4—1181no—
1343C22×C4—1181no—
1344C22×C4—1181no—
1345C22×C4—1181no—
1346C22×C4—1181no—
1347C22×C4—1181no—
1348C22×C4—1181no—
1349C22×C4—1181no—
1350C22×C4—4722no—
1351C22×C4—4722no—
1352C22×C4—2364no—
1353SD16—594no—
1354SD16Q8×D5914yescomplemented
1355D8—594no—
1356D8—594no—
1357M16—594no—
1358M16—1182no—
1359M16—1182no—
1360M16—1182no—
1361C2×C8—591no—
1362C2×C8—591no—
1363C2×C8—591no—
1364C2×C8—591no—
1365C2×C8C23×D5911yescharacteristic
1366C2×C8C23×D5911yescharacteristic
1367C2×C8C23×D5911yescharacteristic
1368C2×C8C23×D5911yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—591no—
1383C4⋊C4—591no—
1384C4⋊C4—591no—
1385C4⋊C4—591no—
1386C4⋊C4—591no—
1387C4⋊C4—591no—
1388C4⋊C4—591no—
1389C4⋊C4—591no—
1390C4⋊C4—591no—
1391C4⋊C4—591no—
1392C4⋊C4—591no—
1393C4⋊C4—591no—
1394C4⋊C4—591no—
1395C4⋊C4—591no—
1396C4⋊C4—591no—
1397C4⋊C4—1181no—
1398C4⋊C4—1181no—
1399C4⋊C4—1181no—
1400C4⋊C4—1181no—
1401C4⋊C4—1181no—
1402C4⋊C4—1181no—
1403C4⋊C4—1181no—
1404C4⋊C4—1181no—
1405C4⋊C4—1181no—
1406C4⋊C4—1181no—
1407C4⋊C4—1181no—
1408C4⋊C4—1181no—
1409C4⋊C4—1181no—
1410C4⋊C4—1181no—
1411C4⋊C4—1181no—
1412C4⋊C4—1181no—
1413C4⋊C4—1181no—
1414C4⋊C4—1181no—
1415C4⋊C4—1181no—
1416C4⋊C4—1181no—
1417C4⋊C4—1181no—
1418C4⋊C4—1181no—
1419C4⋊C4—1181no—
1420C4⋊C4—1181no—
1421C4⋊C4—1181no—
1422C4⋊C4—1181no—
1423C4⋊C4—1181no—
1424C4⋊C4—1181no—
1425C4⋊C4—1181no—
1426C4⋊C4—1181no—
1427C4⋊C4—1181no—
1428C4⋊C4—1181no—
1429C4⋊C4—1181no—
1430C4⋊C4—1181no—
1431C4⋊C4D4×D5911yescharacteristic
1432C4⋊C4D4×D5911yescharacteristic
1433C4⋊C4D4×D5911yescharacteristic
1434C4⋊C4C23×D5911yescharacteristic
1435C4⋊C4C23×D5911yescharacteristic
1436C4⋊C4C23×D5911yescharacteristic
1437C4⋊C4C23×D5911yescharacteristic
1438C4⋊C4C23×D5911yescharacteristic
1439C4⋊C4C23×D5911yescharacteristic
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—1181no—
1444C22⋊C4—1181no—
1445C22⋊C4—1181no—
1446C22⋊C4—1181no—
1447C22⋊C4—1181no—
1448C22⋊C4—1181no—
1449C22⋊C4—1181no—
1450C22⋊C4—1181no—
1451C22⋊C4—1181no—
1452C22⋊C4—1181no—
1453C22⋊C4—1181no—
1454C22⋊C4—1181no—
1455C22⋊C4—1181no—
1456C22⋊C4—1181no—
1457C22⋊C4—1181no—
1458C22⋊C4—1181no—
1459C22⋊C4—1181no—
1460C22⋊C4—1181no—
1461C42—21no—
1462C42—21no—
1463C42—21no—
1464C42—591no—
1465C42—591no—
1466C42—591no—
1467C42—591no—
1468C42—591no—
1469C42—591no—
1470C42—591no—
1471C42—591no—
1472C42—591no—
1473C42—1181no—
1474C42—1181no—
1475C42—1181no—
1476C42—1181no—
1477C42—1181no—
1478C42—1181no—
1479C42C23×D5911yescharacteristic
1480C42C23×D5911yescharacteristic
1481C42C23×D5911yescharacteristic
1482C23—21no—
1483C23—591no—
1484C23—1184no—
1485C23—1181no—
1486C23—1181no—
1487C23—2362no—
1488C23—2362no—
1489Q8—21no—
1490Q8—41no—
1491Q8—42no—
1492Q8—81no—
1493Q8—1182no—
1494Q8—1182no—
1495Q8—4721no—
1496Q8—4721no—
1497Q8—4721no—
1498Q8—4721no—
1499Q8—4721no—
1500Q8—4721no—
1501Q8—2361no—
1502Q8—2362no—
1503Q8—2362no—
1504Q8C2×Q8×D5912yes—
1505D4—21no—
1506D4—592no—
1507D4—592no—
1508D4—1184no—
1509D4—1184no—
1510D4—1181no—
1511D4—1181no—
1512D4C2×Q8×D5912yes—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—42no—
1521C2×C4—81no—
1522C2×C4—81no—
1523C2×C4—591no—
1524C2×C4—591no—
1525C2×C4—592no—
1526C2×C4—592no—
1527C2×C4—591no—
1528C2×C4—591no—
1529C2×C4—591no—
1530C2×C4—591no—
1531C2×C4—591no—
1532C2×C4—1182no—
1533C2×C4—1184no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—4721no—
1541C2×C4—4721no—
1542C2×C4—4721no—
1543C2×C4—4721no—
1544C2×C4—4721no—
1545C2×C4—4721no—
1546C2×C4—4721no—
1547C2×C4—4721no—
1548C2×C4—4721no—
1549C2×C4—2361no—
1550C2×C4—2361no—
1551C2×C4—2361no—
1552C2×C4—2361no—
1553C2×C4—2361no—
1554C2×C4—2362no—
1555C2×C4—2362no—
1556C2×C4—2362no—
1557C2×C4—2362no—
1558C2×C4—2362no—
1559C2×C4—2362no—
1560C2×C4—2362no—
1561C2×C4—2362no—
1562C2×C4—2362no—
1563C2×C4C2×D4×D5911yescharacteristic
1564C2×C4C2×D4×D5911yescharacteristic
1565C2×C4C2×D4×D5911yescharacteristic
1566C2×C4C2×D4×D5911yescharacteristic
1567C2×C4C2×D4×D5911yescharacteristic
1568C2×C4C2×D4×D5911yescharacteristic
1569C2×C4C24×D5911yescharacteristic
1570C8—21no—
1571C8—21no—
1572C8—21no—
1573C8—592no—
1574C8—1181no—
1575C8—1181no—
1576C8—1181no—
1577C8C2×Q8×D5912yes—
1578C22—22no—
1579C22—41no—
1580C22—41no—
1581C22—592no—
1582C22—1181no—
1583C22—1181no—
1584C22—1182no—
1585C22—1182no—
1586C22—2368no—
1587C22—2361no—
1588C22—2361no—
1589C22—2361no—
1590C22—2361no—
1591C22C22×D4×D5911yescharacteristic
1592C4—21no—
1593C4—21no—
1594C4—21no—
1595C4—22no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—592no—
1606C4—592no—
1607C4—1181no—
1608C4—1181no—
1609C4—1181no—
1610C4—1181no—
1611C4—1181no—
1612C4—2361no—
1613C4—2361no—
1614C4—2361no—
1615C4—2361no—
1616C4—2361no—
1617C4—2361no—
1618C4C22×Q8×D5911yescharacteristic
1619C42−1+4×D5911yescharacteristic
1620C2—42no—
1621C2—1182no—
1622C2—2362no—
1623C2—2362no—
1624C2D4×Q8×D5911yescharacteristic
1625C2#575×D5911yescharacteristic
1626C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3388C2
socleC22×C59C23×D4
prime radicalC2×#14273754C22
hypercenter#3388D59
hypocenterC59#61367
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #21437678C2semidirect
2. #554×D59C2semidirect
3. #21437056C2semidirect
4. #21437053C2semidirect
5. #21437051C2semidirect
6. #21437050C2semidirect
7. #21437048C2semidirect
8. #21437046C2semidirect
9. #21437035C2semidirect
10. #21437009C2semidirect
11. #21437007C2semidirect
12. #21436992C2semidirect
13. #21436990C2semidirect
14. #21436974C2semidirect
15. #21436972C2semidirect
16. #21436960C2semidirect
17. #21436958C2semidirect
18. #21434647C2semidirect
19. #21434644C2semidirect
20. #21434641C2semidirect
21. #21433915C2semidirect
22. #21433915C2semidirect
23. #21433906C2semidirect
24. #21433894C2semidirect
25. #21433891C2semidirect
26. #21433891C2semidirect
27. #21433048C2semidirect
31. C59×#3388C2semidirect
33. Q8×Dic118C22semidirect
34. #16838128C22semidirect
35. #16838128C22semidirect
39. #16838112C22semidirect
48. #16838108C22semidirect
49. #16838108C22semidirect
54. #16838067C22semidirect
76. #16837812C22semidirect
77. #16837812C22semidirect
78. #16837811C22semidirect
79. #16837811C22semidirect
80. #16837810C22semidirect
81. #16837810C22semidirect
82. #16837809C22semidirect
83. #16837809C22semidirect
84. #16837808C22semidirect
85. #16837808C22semidirect
86. #16837806C22semidirect
87. #16837806C22semidirect
88. #16837804C22semidirect
89. #16837803C22semidirect
90. #16837803C22semidirect
91. #16837802C22semidirect
92. #16837802C22semidirect
93. #16837801C22semidirect
94. #16837801C22semidirect
95. #16837799C22semidirect
96. #16837799C22semidirect
97. #16837711C22semidirect
98. #16837711C22semidirect
99. #16837709C22semidirect
100. #16837709C22semidirect
101. #16837707C22semidirect
102. #16837707C22semidirect
103. #16837705C22semidirect
104. #16837705C22semidirect
107. #16837703C22semidirect
108. #16837703C22semidirect
113. #16837701C22semidirect
114. #16837701C22semidirect
119. #16837699C22semidirect
120. #16837699C22semidirect
121. #16837695C22semidirect
122. #16837695C22semidirect
125. #16837691C22semidirect
126. #16837691C22semidirect
130. #16837687C22semidirect
132. #16837683C22semidirect
138. #16837679C22semidirect
139. #16837533C22semidirect
140. #16837531C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
143. #16837530C22semidirect
144. C8×Dic118C22semidirect
145. #16837526C22semidirect
188. C59×#557C22semidirect
190. C59×#501C22semidirect
191. C59×#501C22semidirect
192. C59×#499C22semidirect
193. C59×#479C22semidirect
194. C59×#479C22semidirect
198. C59×#475C22semidirect
199. C59×#446C22semidirect
211. #14273754Q8semidirect
498. D4×D59C2×Q8semidirect
539. SD16×C59C2×Q8semidirect
578. #11745671C2×Q8semidirect
579. #11745669C2×Q8semidirect
663. D472C2×Q8semidirect
667. #11745659C2×Q8semidirect
816. #3388D59semidirect
849. #557C2×D59semidirect
901. #501C2×D59semidirect
902. #501C2×D59semidirect
912. #499C2×D59semidirect
921. #479C2×D59semidirect
922. #479C2×D59semidirect
954. #475C2×D59semidirect
968. #446C2×D59semidirect
1016. C59#61367semidirect
1354. SD16Q8×D59semidirect

Maximal subgroups

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

subgroupindex
#214376782
#554×D592
#214370562
#214370532
#214370512
#214370502
#214370482
#214370462
#214370352
#214370092
#214370072
#214369922
#214369902
#214369742
#214369722
#214369602
#214369582
#214346472
#214346442
#214346412
#214339152
#214339062
#214338942
#214338912
#214330482
C4×#142737542
#214329012
C59×#33882
#6136759