Finite Group Databasebeta

← #29471289

Subgroups — #29471289

Order 15104.

1882 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438143C211yesmaximal, characteristic, complemented
2#21438135C211yesmaximal, characteristic, complemented
3#21437079C211yesmaximal, characteristic, complemented
4#21436946C211yesmaximal, characteristic, complemented
5#21436817C211yesmaximal, characteristic, complemented
6#21436809C211yesmaximal, characteristic, complemented
7#21436487C211yesmaximal, characteristic, complemented
8#21436483C211yesmaximal, characteristic, complemented
9#21436438C211yesmaximal, characteristic, complemented
10#21436399C211yesmaximal, characteristic, complemented
11#21436394C211yesmaximal, characteristic, complemented
12#21436184C211yesmaximal, characteristic, complemented
13#21436180C211yesmaximal, characteristic, complemented
14#21436174C211yesmaximal, characteristic, complemented
15#21436170C211yesmaximal, characteristic, complemented
16#21435811C211yesmaximal, characteristic, complemented
17#21435779C211yesmaximal, characteristic, complemented
18#21435776C211yesmaximal, characteristic, complemented
19#21434733C211yesmaximal, characteristic, complemented
20#21434729C211yesmaximal, characteristic, complemented
21#21434679C211yesmaximal, characteristic, complemented
22#21434364C211yesmaximal, characteristic, complemented
23#21434360C211yesmaximal, characteristic, complemented
24#21434354C211yesmaximal, characteristic, complemented
25#21434193C211yesmaximal, characteristic, complemented
26#21434193C211yesmaximal, characteristic, complemented
27#21433069C211yesmaximal, characteristic, complemented
28#21432969C211yesmaximal, characteristic, complemented
29#21432968C211yesmaximal, characteristic, complemented
30C4×D8×D59C211yesmaximal, characteristic, complemented
31C59×#3124C211yesmaximal, characteristic, complemented
32C2×#14273748C2211yescharacteristic
33C2×#14273747C2211yescharacteristic
34C2×D8×D59C2211yescharacteristic
35#16838124C2211yescharacteristic, complemented
36#16838121C2211yescharacteristic, complemented
37#16838113C2211yescharacteristic
38#16838112C2211yescharacteristic
39#16838110C2211yescharacteristic
40#16838107C2211yescharacteristic
41#16838088—21no—
42#16838085—21no—
43#16838082—21no—
44#16838081—21no—
45#16838077—21no—
46#16838076—21no—
47D4×Dic118C2211yescharacteristic, complemented
48#16838067C2211yescharacteristic, complemented
49#16838061—21no—
50#16838060—21no—
51#16838054C2211yescharacteristic, complemented
52#16838053C2211yescharacteristic, complemented
53#16838052C2211yescharacteristic, complemented
54#16838051C2211yescharacteristic, complemented
55#16838049C2211yescharacteristic
56#16838047C2211yescharacteristic
57#16838045C2211yescharacteristic
58#16838040C2211yescharacteristic
59#16838024C2211yescharacteristic, complemented
60#16838023C2211yescharacteristic, complemented
61#16838017C2211yescharacteristic, complemented
62#16837999—21no—
63#16837998—21no—
64#16837995—21no—
65#16837994—21no—
66#16837956C2211yescharacteristic
67#16837956C2211yescharacteristic
68#16837930C2211yescharacteristic
69#16837911—21no—
70#16837910—21no—
71C2×#14273705—21no—
72C22⋊Q8×D59—21no—
73#16837884C2211yescharacteristic, complemented
74#16837882C2211yescharacteristic, complemented
75#16837881C2211yescharacteristic, complemented
76C4×D4×D59C2211yescharacteristic
77C4×D4×D59C2211yescharacteristic
78#16837806C2211yescharacteristic, complemented
79#16837806C2211yescharacteristic, complemented
80#16837805C2211yescharacteristic, complemented
81#16837784C2211yescharacteristic
82#16837783C2211yescharacteristic
83#16837780C2211yescharacteristic, complemented
84#16837764C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837761C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837751C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic
91#16837739C2211yescharacteristic
92#16837739C2211yescharacteristic, complemented
93#16837738C2211yescharacteristic, complemented
94#16837736C2211yescharacteristic
95#16837736C2211yescharacteristic
96#16837736C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic, complemented
98#16837716C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837698C2211yescharacteristic, complemented
101#16837696C2211yescharacteristic, complemented
102#16837695C2211yescharacteristic, complemented
103#16837683C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837681C2211yescharacteristic, complemented
106#16837681C2211yescharacteristic, complemented
107#16837680C2211yescharacteristic, complemented
108#16837680C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837650C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic, complemented
112#16837646C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837644C2211yescharacteristic
115#16837642C2211yescharacteristic
116#16837642C2211yescharacteristic
117#16837642C2211yescharacteristic, complemented
118#16837641C2211yescharacteristic, complemented
119#16837640C2211yescharacteristic
120#16837637C2211yescharacteristic
121#16837636C2211yescharacteristic
122#16837626C2211yescharacteristic, complemented
123#16837625C2211yescharacteristic, complemented
124#16837623C2211yescharacteristic, complemented
125#16837620C2211yescharacteristic
126#16837618C2211yescharacteristic
127#16837615C2211yescharacteristic
128#16837606C2211yescharacteristic, complemented
129#16837606C2211yescharacteristic, complemented
130#16837605C2211yescharacteristic, complemented
131#16837605C2211yescharacteristic, complemented
132#16837566C2211yescharacteristic, complemented
133#16837565C2211yescharacteristic, complemented
134#16837563C2211yescharacteristic, complemented
135#16837554C2211yescharacteristic
136#16837554C2211yescharacteristic
137#16837551C2211yescharacteristic
138#16837551C2211yescharacteristic
139#16837550C2211yescharacteristic
140#16837549C2211yescharacteristic
141#16837544C2211yescharacteristic
142#16837531C2211yescharacteristic, complemented
143#16837526C2211yescharacteristic, complemented
144#16837504C2211yescharacteristic, complemented
145#16837504C2211yescharacteristic, complemented
146#16837503C2211yescharacteristic, complemented
147#16837502C2211yescharacteristic, complemented
148#16837502C2211yescharacteristic, complemented
149#16837502C2211yescharacteristic, complemented
150#16837501C2211yescharacteristic, complemented
151#16837500C2211yescharacteristic, complemented
152#16837500C2211yescharacteristic, complemented
153#16837500C2211yescharacteristic, complemented
154C4×Dic236C2211yescharacteristic, complemented
155C4×#11745672C2211yescharacteristic, complemented
156C4×#11745672C2211yescharacteristic, complemented
157C4×#11745672C2211yescharacteristic, complemented
158#16837494C2211yescharacteristic, complemented
159C4×D472C2211yescharacteristic
160D8×Dic59C2211yescharacteristic
161#16837484C2211yescharacteristic
162C4×#11745669C2211yescharacteristic
163C4×#11745669C2211yescharacteristic
164C4×#11745669C2211yescharacteristic
165#16837482C2211yescharacteristic
166#16837482C2211yescharacteristic
167#16837482C2211yescharacteristic
168#16837477C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic
170#16837472C2211yescharacteristic
171#16837467C2211yescharacteristic
172(C22⋊D59)⋊C8C2211yescharacteristic
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837461C2211yescharacteristic, complemented
175#16837457C2211yescharacteristic
176C2×#14273660C2211yescharacteristic, complemented
177#107×D59C2211yescharacteristic
178#107×D59C2211yescharacteristic, complemented
179#16837403C2211yescharacteristic, complemented
180#16837402C2211yescharacteristic, complemented
181#16837401C2211yescharacteristic, complemented
182#16837400C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic
185#16837359C2211yescharacteristic, complemented
186#16837358C2211yescharacteristic, complemented
187C4×C8×D59C2211yescharacteristic
188C59×#542C2211yescharacteristic, complemented
189C59×#520C2211yescharacteristic, complemented
190C59×#484C2211yescharacteristic, complemented
191C59×#480C2211yescharacteristic, complemented
192C59×#477C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic
196C59×#452C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic
198C59×#440C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C4×Q16×C59C2211yescharacteristic, complemented
201C4×D8×C59C2211yescharacteristic
202C59×#433C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×#11745687C2311yescharacteristic
208C22×Dic118—21no—
209C2×Q8×D59—21no—
210C2×D4×D59C2311yescharacteristic
211C2×D4×D59C2311yescharacteristic
212C22×C4×D59—21no—
213C22×C4×D59—21no—
214#14273748—24no—
215#14273747—24no—
216C2×Dic236C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×D472C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228D8×D59—24no—
229C2×#11745664C2311yescharacteristic
230C2×#11745659C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232C2×C8×D59C2311yescharacteristic
233C2×C8×D59C2311yescharacteristic
234C2×C8×D59C2311yescharacteristic
235#14273727C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273726C2311yescharacteristic
239#14273726C2311yescharacteristic
240#14273725C2311yescharacteristic
241#14273725C2311yescharacteristic
242#14273722—21no—
243#14273722—21no—
244#14273722D411yescharacteristic
245#14273721—21no—
246#14273721—21no—
247#14273720—21no—
248#14273720—21no—
249#14273720—21no—
250#14273720D411yescharacteristic
251#14273719—21no—
252#14273718—21no—
253#14273717—21no—
254#14273717—21no—
255#14273717—21no—
256#14273717—21no—
257#14273717D411yescharacteristic
258#14273716C2311yescharacteristic
259#14273715—21no—
260#14273715C2311yescharacteristic
261#14273714C2311yescharacteristic
262#14273713—21no—
263#14273713—21no—
264#14273713D411yescharacteristic
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273712D411yescharacteristic
269#14273711—21no—
270#14273710—21no—
271#14273710—21no—
272#14273710—21no—
273#14273710—21no—
274#14273709—21no—
275#14273709—21no—
276#14273709—21no—
277#14273709—21no—
278#14273709—21no—
279#14273709D411yescharacteristic
280#14273708—21no—
281#14273708—21no—
282#14273707—21no—
283#14273707C2311yescharacteristic
284#14273707C2311yescharacteristic
285#14273707C2311yescharacteristic
286#14273706—21no—
287#14273706—21no—
288#14273706—21no—
289#14273706C2311yescharacteristic
290#14273705—21no—
291#14273705—21no—
292#14273705—21no—
293#14273705—21no—
294#14273705—21no—
295#14273705—21no—
296#14273705—21no—
297#14273705—21no—
298#14273705—21no—
299#14273705—21no—
300#14273705—21no—
301#14273705D411yescharacteristic
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704—21no—
306#14273704—21no—
307#14273703—21no—
308#14273703—21no—
309#14273703—21no—
310#14273703C2311yescharacteristic
311#14273703C2311yescharacteristic
312#14273703C2311yescharacteristic
313#14273702C2311yescharacteristic
314#14273701—21no—
315#14273701C2311yescharacteristic
316#14273700—21no—
317#14273700—21no—
318#14273700D411yescharacteristic
319#14273699—21no—
320#14273699—21no—
321#14273698—21no—
322#14273698C2311yescharacteristic
323#14273697—21no—
324#14273697—21no—
325#14273695—21no—
326#14273695—21no—
327Q8×Dic59C2311yescharacteristic
328C4×Dic118—21no—
329C4×Dic118—21no—
330C4×Dic118C2311yescharacteristic
331C4×Dic118C2311yescharacteristic
332C4×Dic118C2311yescharacteristic
333C4×Dic118C2311yescharacteristic
334#14273692C2311yescharacteristic
335C4×D236—21no—
336C4×D236—21no—
337C4×D236C2311yescharacteristic
338C4×D236C2311yescharacteristic
339C4×D236C2311yescharacteristic
340C4×D236C2311yescharacteristic
341D4×Dic59C2311yescharacteristic
342D4×Dic59C2311yescharacteristic
343D4×Dic59C2311yescharacteristic
344#14273689—21no—
345#14273689—21no—
346#14273689C2311yescharacteristic
347#14273689C2311yescharacteristic
348#14273689C2311yescharacteristic
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59C2311yescharacteristic
354C4×C22⋊D59C2311yescharacteristic
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361#14273685—21no—
362#14273684—21no—
363#14273684—21no—
364#14273684—21no—
365#14273684—21no—
366#14273684C2311yescharacteristic
367#14273683—21no—
368#14273683—21no—
369C2×C4⋊Dic59C2311yescharacteristic
370C2×Dic59⋊C4—21no—
371C2×Dic59⋊C4—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59—21no—
374C4⋊C4×D59—21no—
375C4⋊C4×D59C2311yescharacteristic
376C4⋊C4×D59C2311yescharacteristic
377C4⋊C4×D59C2311yescharacteristic
378C4⋊C4×D59C2311yescharacteristic
379C2×(C2×D59)⋊C4—21no—
380C2×(C2×D59)⋊C4—21no—
381C22⋊C4×D59—21no—
382C22⋊C4×D59—21no—
383C22⋊C4×D59—21no—
384C22⋊C4×D59—21no—
385C42×D59C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273638C2311yescharacteristic
431#14273638C2311yescharacteristic
432#14273637C2311yescharacteristic
433C4×C59⋊C8C2311yescharacteristic
434C4×C59⋊C8C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×#41×C59C2311yescharacteristic
439C2×Q16×C59C2311yescharacteristic
440C2×SD16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C4⋊Q8×C59C2311yescharacteristic
444#126×C59—21no—
445#124×C59—21no—
446#124×C59C2311yescharacteristic
447#123×C59—21no—
448C22⋊Q8×C59—21no—
449C22⋊Q8×C59C2311yescharacteristic
450#121×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×Q8×C59C2311yescharacteristic
453C4×Q8×C59C2311yescharacteristic
454C4×D4×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459#117×C59—21no—
460#117×C59C2311yescharacteristic
461C2×C4⋊C4×C59—21no—
462C2×C4⋊C4×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483#41×C59—22no—
484#41×C59—41no—
485C2×Q8×C59—21no—
486C2×Q8×C59C2411yescharacteristic
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59C2411yescharacteristic
491C2×D4×C59C2411yescharacteristic
492C22×C4×C59—21no—
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59C2411yescharacteristic
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59C2×D411yescharacteristic
505C2×C22⋊D59C2×D411yescharacteristic
506C22×Dic59—21no—
507C22×Dic59—21no—
508C22×Dic59—21no—
509C22×Dic59—21no—
510C22×Dic59—21no—
511#11745689—22no—
512#11745689—41no—
513Q8×D59—82no—
514#11745687—22no—
515#11745687—41no—
516#11745687—82no—
517D4×D59—22no—
518D4×D59—22no—
519D4×D59—41no—
520D4×D59—41no—
521#11745685—22no—
522#11745685—41no—
523#11745685—82no—
524C2×D236—21no—
525C2×D236—21no—
526C2×D236C2×D411yescharacteristic
527C2×D236C2411yescharacteristic
528C2×D236C2411yescharacteristic
529C2×C4×D59—21no—
530C2×C4×D59—21no—
531C2×C4×D59—21no—
532C2×C4×D59—21no—
533C2×C4×D59—21no—
534C2×C4×D59—21no—
535C2×C4×D59—21no—
536C2×C4×D59—21no—
537C2×C4×D59—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—82no—
542C2×C4×D59—82no—
543C2×C4×D59C2×D411yescharacteristic
544C2×C4×D59C2×D411yescharacteristic
545C2×C4×D59C2411yescharacteristic
546C2×C4×D59C2411yescharacteristic
547C2×Dic118—21no—
548C2×Dic118—21no—
549C2×Dic118—21no—
550C2×Dic118—21no—
551C2×Dic118—21no—
552C2×Dic118—82no—
553C2×Dic118C2×D411yescharacteristic
554C2×Dic118C2411yescharacteristic
555C2×Dic118C2411yescharacteristic
556Q16×C59—41no—
557SD16×C59—22no—
558SD16×C59—41no—
559D8×C59—22no—
560C2×C8×C59C2411yescharacteristic
561C2×C8×C59C2411yescharacteristic
562C2×C8×C59C2411yescharacteristic
563C2×C8×C59C2411yescharacteristic
564C4⋊C4×C59—21no—
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59C2×D411yescharacteristic
571C4⋊C4×C59C2×D411yescharacteristic
572C4⋊C4×C59C2411yescharacteristic
573C4⋊C4×C59C2411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C4⋊C4×C59C2411yescharacteristic
576C22⋊C4×C59—21no—
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59C2×D411yescharacteristic
584C22⋊C4×C59C2×D411yescharacteristic
585C42×C59—21no—
586C42×C59—21no—
587C42×C59—21no—
588C42×C59C2411yescharacteristic
589C42×C59C2411yescharacteristic
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59C2×D411yescharacteristic
598C22⋊Dic59C2×D411yescharacteristic
599#11745672—22no—
600#11745672—22no—
601#11745671—22no—
602#11745671—41no—
603#11745670—22no—
604#11745670—41no—
605#11745669—22no—
606#11745669#4114yescomplemented
607(C2×D59)⋊C4—21no—
608(C2×D59)⋊C4—21no—
609(C2×D59)⋊C4—21no—
610(C2×D59)⋊C4—21no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4C2×D411yescharacteristic
626(C2×D59)⋊C4C2×D411yescharacteristic
627(C2×D59)⋊C4C2×D411yescharacteristic
628(C2×D59)⋊C4C2×D411yescharacteristic
629(C2×D59)⋊C4C2×D411yescharacteristic
630(C2×D59)⋊C4C2×D411yescharacteristic
631C4⋊Dic59—21no—
632C4⋊Dic59—21no—
633C4⋊Dic59—21no—
634C4⋊Dic59—21no—
635C4⋊Dic59—21no—
636C4⋊Dic59—21no—
637C4⋊Dic59C2×D411yescharacteristic
638C4⋊Dic59C2×D411yescharacteristic
639C4⋊Dic59C2411yescharacteristic
640C4⋊Dic59C2411yescharacteristic
641C4⋊Dic59C2411yescharacteristic
642C4⋊Dic59C2411yescharacteristic
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4C2×D411yescharacteristic
664Dic59⋊C4C2×D411yescharacteristic
665Dic59⋊C4C2×D411yescharacteristic
666Dic59⋊C4C2×D411yescharacteristic
667Dic59⋊C4C2×D411yescharacteristic
668Dic59⋊C4C2×D411yescharacteristic
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2411yescharacteristic
677C4×Dic59C2411yescharacteristic
678#11745664—41no—
679C2×C59⋊C8—22no—
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684Dic236—41no—
685D472—22no—
686#11745660—22no—
687#11745660—41no—
688#11745659—41no—
689C8×D59—22no—
690C8×D59—22no—
691C8×D59—41no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59C22×D411yescharacteristic
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—42no—
698C22×D59—42no—
699C22×D59—42no—
700C22×D59—42no—
701C22×D59—81no—
702C22×D59—81no—
703C22×D59C22×D411yescharacteristic
704C22×D59C22×D411yescharacteristic
705Q8×C59—21no—
706Q8×C59—21no—
707Q8×C59—21no—
708Q8×C59—21no—
709Q8×C59—81no—
710D4×C59—21no—
711D4×C59—21no—
712D4×C59—21no—
713D4×C59—42no—
714D4×C59—81no—
715D4×C59C2×#4112yes—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—42no—
725C2×C4×C59—81no—
726C2×C4×C59—81no—
727C2×C4×C59—81no—
728C2×C4×C59—81no—
729C2×C4×C59C22×D411yescharacteristic
730C2×C4×C59C22×D411yescharacteristic
731C2×C4×C59C22×D411yescharacteristic
732C2×C4×C59C22×D411yescharacteristic
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C2511yescharacteristic
735C22⋊D59—22no—
736C22⋊D59—22no—
737C22⋊D59—42no—
738C22⋊D59—42no—
739C22⋊D59—42no—
740C22⋊D59—42no—
741C22⋊D59—81no—
742C22⋊D59—81no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—42no—
750C2×Dic59—42no—
751C2×Dic59—42no—
752C2×Dic59—81no—
753C2×Dic59—81no—
754C2×Dic59C22×D411yescharacteristic
755C2×Dic59C22×D411yescharacteristic
756C2×Dic59C22×D411yescharacteristic
757C2×Dic59C22×D411yescharacteristic
758C2×Dic59C22×D411yescharacteristic
759C2×Dic59C22×D411yescharacteristic
760D236—22no—
761D236—21no—
762D236—21no—
763D236—21no—
764D236—42no—
765D236—81no—
766D236C2×#4112yes—
767C4×D59—22no—
768C4×D59—21no—
769C4×D59—21no—
770C4×D59—21no—
771C4×D59—21no—
772C4×D59—22no—
773C4×D59—42no—
774C4×D59—42no—
775C4×D59—42no—
776C4×D59—42no—
777C4×D59—81no—
778C4×D59—81no—
779C4×D59—81no—
780C4×D59—81no—
781C4×D59—81no—
782C4×D59—81no—
783C4×D59—81no—
784C4×D59—81no—
785Dic118—22no—
786Dic118—21no—
787Dic118—21no—
788Dic118—21no—
789Dic118—21no—
790Dic118—42no—
791Dic118—42no—
792Dic118—81no—
793Dic118—81no—
794Dic118—81no—
795C8×C59—21no—
796C8×C59—21no—
797C8×C59—21no—
798C8×C59—21no—
799C59⋊C8—21no—
800C59⋊C8—21no—
801C59⋊C8—21no—
802C59⋊C8C2×#4112yes—
803#61482—591nomaximal, Sylow
804C22×C59—22no—
805C22×C59—21no—
806C22×C59—21no—
807C22×C59—21no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59C23×D411yescharacteristic
814C2×D59—21no—
815C2×D59—21no—
816C2×D59—21no—
817C2×D59—22no—
818C2×D59—21no—
819C2×D59—21no—
820C2×D59—41no—
821C2×D59—41no—
822C2×D59—41no—
823C2×D59—41no—
824C2×D59—41no—
825C2×D59—84no—
826C2×D59—84no—
827C2×D59#57812yes—
828C4×C59—21no—
829C4×C59—21no—
830C4×C59—21no—
831C4×C59—21no—
832C4×C59—21no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836C4×C59—41no—
837C4×C59—41no—
838C4×C59—41no—
839C4×C59C22×#4111yescharacteristic
840C4×C59#58511yescharacteristic
841Dic59—21no—
842Dic59—21no—
843Dic59—21no—
844Dic59—21no—
845Dic59—21no—
846Dic59—41no—
847Dic59—41no—
848Dic59—41no—
849Dic59—41no—
850Dic59—41no—
851Dic59—41no—
852Dic59#57612yes—
853#3520—591no—
854#3520—591no—
855#3393—591no—
856Q8×D8—591no—
857#3367—591no—
858#3367—591no—
859#3338—591no—
860#3338—591no—
861#3334—591no—
862#3330—591no—
863#3330—591no—
864#3314—591no—
865#3314—591no—
866#3314—591no—
867#3314—591no—
868#3283—591no—
869#3280—591no—
870#3280—591no—
871#3175—591no—
872#3175—591no—
873#3170—591no—
874#3124—591no—
875#3124—591no—
876#3124—591no—
877#3124D5911yescharacteristic, complemented
878#3110—591no—
879#3110—591no—
880#2966—591no—
881#2951—591no—
882#2951—591no—
883C2×C4×D8—591no—
884C2×C59—42no—
885C2×C59—41no—
886C2×C59—81no—
887C2×C59D4×#4111yescharacteristic
888C2×C59C2×#57611yescharacteristic
889C2×C59C2×#57811yescharacteristic
890D59—22no—
891D59—41no—
892D59—42no—
893D59—81no—
894C2×#135—591no—
895C2×#135—591no—
896C22×D8—591no—
897#556—591no—
898#556—591no—
899#554—591no—
900#554—591no—
901#554—591no—
902#554—591no—
903#552—1181no—
904#552—1181no—
905#551—1181no—
906#551—1181no—
907#551—1181no—
908#551—1181no—
909D4×Q8—591no—
910D4×Q8—591no—
911#548—1181no—
912#548—1181no—
913#547—591no—
914#547—591no—
915#547—591no—
916#547—591no—
917#546—591no—
918#546—591no—
919#546—591no—
920#546—591no—
921#542—591no—
922#542—591no—
923#542—591no—
924#542C2×D5911yescharacteristic, complemented
925#539—1181no—
926#539—1181no—
927#539—1181no—
928#539—1181no—
929#533—591no—
930#533—591no—
931#529—591no—
932#525—1181no—
933#525—1181no—
934C2×C22⋊Q8—1181no—
935C2×C22⋊Q8—1181no—
936#520—591no—
937#520—591no—
938#520—591no—
939#520C2×D5911yescharacteristic, complemented
940C2×C4×D4—591no—
941C2×C4×D4—591no—
942#500—591no—
943#500—591no—
944#500—591no—
945#495—591no—
946#495—591no—
947#494—591no—
948#489—591no—
949#489—591no—
950#489—591no—
951#489—591no—
952#487—591no—
953#487—591no—
954#484—591no—
955#484—591no—
956#484—591no—
957#484—591no—
958#484—591no—
959#484—591no—
960#484—591no—
961#484C2×D5911yescharacteristic, complemented
962#480—591no—
963#480—591no—
964#480—591no—
965#480C2×D5911yescharacteristic, complemented
966#477—591no—
967#477—591no—
968#477—591no—
969#477C2×D5911yescharacteristic, complemented
970#474—591no—
971#474—591no—
972#474—591no—
973#474—591no—
974#474—591no—
975#474—591no—
976#474—591no—
977#474C2×D5911yescharacteristic, complemented
978#468—591no—
979#468—591no—
980#468—591no—
981#468—591no—
982#467—591no—
983#467—591no—
984#467—591no—
985#467—591no—
986#467—591no—
987#467—591no—
988#466—591no—
989#466—591no—
990#464—591no—
991#464—591no—
992#464—591no—
993#464C2×D5911yescharacteristic, complemented
994#463—591no—
995#463—591no—
996#463—591no—
997#463C2×D5911yescharacteristic
998#461—591no—
999#461—591no—
1000#461—591no—
1001#461—591no—
1002#452—591no—
1003#452—591no—
1004#452—591no—
1005#452C2×D5911yescharacteristic, complemented
1006#450—591no—
1007#450—591no—
1008#450—591no—
1009#450—591no—
1010#449—591no—
1011#449—591no—
1012#449—591no—
1013#449C2×D5911yescharacteristic
1014#446—591no—
1015C8×Q8—591no—
1016#440—591no—
1017#440—591no—
1018#440—591no—
1019#440—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024#440—591no—
1025#440—591no—
1026#440C2×D5911yescharacteristic, complemented
1027#440C2×D5911yescharacteristic, complemented
1028C4×Q16—591no—
1029C4×Q16—591no—
1030C4×Q16—591no—
1031C4×Q16—591no—
1032C4×Q16—591no—
1033C4×Q16C2×D5911yescharacteristic, complemented
1034C4×D8—591no—
1035C4×D8—591no—
1036C4×D8—591no—
1037C4×D8—591no—
1038C4×D8—591no—
1039C4×D8—591no—
1040C4×D8—591no—
1041C4×D8—591no—
1042C4×D8—591no—
1043C4×D8C2×D5911yescharacteristic
1044#436—591no—
1045#435—591no—
1046#435—591no—
1047C8×D4—591no—
1048C8×D4—591no—
1049C8×D4—591no—
1050#433—591no—
1051#433C2×D5911yescharacteristic, complemented
1052#432—591no—
1053C2×#107—591no—
1054C2×#107—591no—
1055C2×#107—591no—
1056#417—591no—
1057#417—591no—
1058#417—591no—
1059#417—591no—
1060C2×#102—591no—
1061C2×#102—591no—
1062#405—591no—
1063#405—591no—
1064C2×C4×C8—591no—
1065C59#6148211yescharacteristic, complemented, Sylow
1066C2×#41—591no—
1067C2×#41—591no—
1068C2×#41—591no—
1069C2×#41—1181no—
1070C2×#41—1181no—
1071C2×#41C22×D5911yescharacteristic
1072C22×Q8—1181no—
1073C22×Q8—1181no—
1074C22×D4—591no—
1075C22×D4—591no—
1076C23×C4—1181no—
1077C23×C4—1181no—
1078#135—1184no—
1079#135—1184no—
1080C2×Q16—591no—
1081C2×Q16—591no—
1082C2×Q16—591no—
1083C2×Q16C22×D5911yescharacteristic
1084C2×SD16—591no—
1085C2×SD16—591no—
1086C2×SD16—591no—
1087C2×SD16—591no—
1088C2×SD16—591no—
1089C2×SD16—591no—
1090C2×SD16C22×D5911yescharacteristic
1091C2×SD16C22×D5911yescharacteristic
1092C2×D8—591no—
1093C2×D8—591no—
1094C2×D8—591no—
1095C2×D8—1184no—
1096C2×D8C22×D5911yescharacteristic
1097C2×M16—591no—
1098C2×M16—591no—
1099C22×C8—591no—
1100C22×C8—591no—
1101C22×C8—591no—
1102C22×C8—591no—
1103C4⋊Q8—591no—
1104C4⋊Q8—591no—
1105C4⋊Q8—591no—
1106C4⋊Q8—591no—
1107C4⋊Q8—591no—
1108C4⋊Q8—591no—
1109C4⋊Q8—591no—
1110C4⋊Q8C22×D5911yescharacteristic
1111#126—21no—
1112#126—591no—
1113#126—591no—
1114#126—1181no—
1115#126—1181no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#125—591no—
1122#125—1181no—
1123#125—1181no—
1124#125—1181no—
1125#125—1181no—
1126#125—1181no—
1127#125—1181no—
1128#124—21no—
1129#124—591no—
1130#124—591no—
1131#124—591no—
1132#124—591no—
1133#124—1181no—
1134#124—1181no—
1135#124—1181no—
1136#124C22×D5911yescharacteristic
1137#123—21no—
1138#123—591no—
1139#123—591no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143#123—1181no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151#123—1181no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155C22⋊Q8—21no—
1156C22⋊Q8—591no—
1157C22⋊Q8—591no—
1158C22⋊Q8—591no—
1159C22⋊Q8—591no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—591no—
1163C22⋊Q8—591no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8—1181no—
1170C22⋊Q8—1181no—
1171C22⋊Q8—1181no—
1172C22⋊Q8—1181no—
1173C22⋊Q8—1181no—
1174C22⋊Q8—1181no—
1175C22⋊Q8—1181no—
1176C22⋊Q8—1181no—
1177C22⋊Q8—1181no—
1178C22⋊Q8—1181no—
1179C22⋊Q8—1181no—
1180C22⋊Q8—1181no—
1181C22⋊Q8—1181no—
1182C22⋊Q8—1181no—
1183C22⋊Q8—1181no—
1184C22⋊Q8—1181no—
1185C22⋊Q8—1181no—
1186C22⋊Q8—1181no—
1187C22⋊Q8C22×D5911yescharacteristic
1188#121—591no—
1189#121—591no—
1190#121—591no—
1191#121—591no—
1192#121—1181no—
1193#121—1181no—
1194#121—1181no—
1195#121—1181no—
1196#121—1181no—
1197#121—1181no—
1198#121C22×D5911yescharacteristic
1199#120—1181no—
1200#120—1181no—
1201#120—1181no—
1202#120—1181no—
1203C4×Q8—591no—
1204C4×Q8—591no—
1205C4×Q8—591no—
1206C4×Q8—591no—
1207C4×Q8—591no—
1208C4×Q8—591no—
1209C4×Q8—1181no—
1210C4×Q8—1181no—
1211C4×Q8C22×D5911yescharacteristic
1212C4×Q8C22×D5911yescharacteristic
1213C4×Q8C22×D5911yescharacteristic
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—591no—
1221C4×D4—591no—
1222C4×D4—591no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—591no—
1226C4×D4—591no—
1227C4×D4—591no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4C22×D5911yescharacteristic
1243C4×D4C22×D5911yescharacteristic
1244C4×D4C22×D5911yescharacteristic
1245#117—21no—
1246#117—591no—
1247#117—1181no—
1248#117—1181no—
1249#117—1181no—
1250#117—1181no—
1251#117—1181no—
1252#117—1181no—
1253#117—1181no—
1254#117C22×D5911yescharacteristic
1255C2×C4⋊C4—21no—
1256C2×C4⋊C4—591no—
1257C2×C4⋊C4—591no—
1258C2×C4⋊C4—591no—
1259C2×C4⋊C4—591no—
1260C2×C4⋊C4—591no—
1261C2×C4⋊C4—1181no—
1262C2×C4⋊C4—1181no—
1263C2×C4⋊C4—1181no—
1264C2×C4⋊C4—1181no—
1265C2×C4⋊C4—1181no—
1266C2×C4⋊C4C22×D5911yescharacteristic
1267C2×C22⋊C4—1181no—
1268C2×C22⋊C4—1181no—
1269C2×C22⋊C4—1181no—
1270C2×C22⋊C4—1181no—
1271C2×C22⋊C4—1181no—
1272C2×C22⋊C4—1181no—
1273C2×C42—591no—
1274#107—591no—
1275#107—591no—
1276#107—591no—
1277#107—591no—
1278#107—591no—
1279#107—591no—
1280#107—591no—
1281#107—591no—
1282#107—591no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107C22×D5911yescharacteristic
1287#107C22×D5911yescharacteristic
1288#107C22×D5911yescharacteristic
1289#107C22×D5911yescharacteristic
1290C4⋊C8—591no—
1291C4⋊C8—591no—
1292C4⋊C8—591no—
1293C4⋊C8—591no—
1294C4⋊C8C22×D5911yescharacteristic
1295C4⋊C8C22×D5911yescharacteristic
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103—591no—
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103C22×D5911yescharacteristic
1309#103C22×D5911yescharacteristic
1310#103C22×D5911yescharacteristic
1311#103C22×D5911yescharacteristic
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102C22×D5911yescharacteristic
1325#102C22×D5911yescharacteristic
1326#102C22×D5911yescharacteristic
1327#102C22×D5911yescharacteristic
1328C22⋊C8—591no—
1329C22⋊C8—591no—
1330C22⋊C8—591no—
1331C22⋊C8—591no—
1332C22⋊C8C22×D5911yescharacteristic
1333C22⋊C8C22×D5911yescharacteristic
1334#97—591no—
1335#97—591no—
1336#97—591no—
1337#97C22×D5911yescharacteristic
1338C4×C8—591no—
1339C4×C8—591no—
1340C4×C8—591no—
1341C4×C8—591no—
1342C4×C8—591no—
1343C4×C8C22×D5911yescharacteristic
1344C24—1181no—
1345C24—1181no—
1346#41—22no—
1347#41—41no—
1348#41—1182no—
1349#41—1182no—
1350#41—1182no—
1351#41—4722no—
1352#41—4722no—
1353#41—2361no—
1354#41—2361no—
1355#41—2361no—
1356C2×Q8—21no—
1357C2×Q8—591no—
1358C2×Q8—591no—
1359C2×Q8—591no—
1360C2×Q8—1181no—
1361C2×Q8—1181no—
1362C2×Q8—1181no—
1363C2×Q8—1181no—
1364C2×Q8—1181no—
1365C2×Q8—4722no—
1366C2×Q8—4722no—
1367C2×Q8C23×D5911yescharacteristic
1368C2×Q8C23×D5911yescharacteristic
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—591no—
1372C2×D4—591no—
1373C2×D4—591no—
1374C2×D4—591no—
1375C2×D4—591no—
1376C2×D4—1181no—
1377C2×D4—1181no—
1378C2×D4—1181no—
1379C2×D4—1181no—
1380C2×D4—1182no—
1381C2×D4—1182no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—2361no—
1387C2×D4—2361no—
1388C2×D4C23×D5911yescharacteristic
1389C2×D4C23×D5911yescharacteristic
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—591no—
1396C22×C4—591no—
1397C22×C4—591no—
1398C22×C4—591no—
1399C22×C4—1181no—
1400C22×C4—1181no—
1401C22×C4—1181no—
1402C22×C4—1181no—
1403C22×C4—1181no—
1404C22×C4—1181no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—1181no—
1408C22×C4—1181no—
1409C22×C4—1181no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—1181no—
1416C22×C4—4722no—
1417C22×C4—4722no—
1418C22×C4C23×D5911yescharacteristic
1419Q16—41no—
1420Q16—1182no—
1421Q16—1182no—
1422Q16—2361no—
1423SD16—22no—
1424SD16—41no—
1425SD16—1182no—
1426SD16—1182no—
1427SD16—1182no—
1428SD16—2361no—
1429SD16—2361no—
1430SD16—2361no—
1431D8—22no—
1432D8—594no—
1433D8—1182no—
1434D8—1182no—
1435M16—2361no—
1436M16—2361no—
1437C2×C8—591no—
1438C2×C8—591no—
1439C2×C8—591no—
1440C2×C8—591no—
1441C2×C8—1182no—
1442C2×C8—1182no—
1443C2×C8—1182no—
1444C2×C8—2361no—
1445C2×C8C23×D5911yescharacteristic
1446C2×C8C23×D5911yescharacteristic
1447C2×C8C23×D5911yescharacteristic
1448C2×C8C23×D5911yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—591no—
1456C4⋊C4—591no—
1457C4⋊C4—591no—
1458C4⋊C4—591no—
1459C4⋊C4—591no—
1460C4⋊C4—591no—
1461C4⋊C4—591no—
1462C4⋊C4—591no—
1463C4⋊C4—591no—
1464C4⋊C4—591no—
1465C4⋊C4—591no—
1466C4⋊C4—591no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4D4×D5911yescharacteristic
1494C4⋊C4D4×D5911yescharacteristic
1495C4⋊C4C23×D5911yescharacteristic
1496C4⋊C4C23×D5911yescharacteristic
1497C4⋊C4C23×D5911yescharacteristic
1498C4⋊C4C23×D5911yescharacteristic
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—591no—
1507C22⋊C4—591no—
1508C22⋊C4—591no—
1509C22⋊C4—591no—
1510C22⋊C4—591no—
1511C22⋊C4—591no—
1512C22⋊C4—591no—
1513C22⋊C4—591no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4D4×D5911yescharacteristic
1540C22⋊C4D4×D5911yescharacteristic
1541C42—21no—
1542C42—21no—
1543C42—21no—
1544C42—591no—
1545C42—591no—
1546C42—591no—
1547C42—591no—
1548C42—1181no—
1549C42—1181no—
1550C42—1181no—
1551C42—1181no—
1552C42—1181no—
1553C42C23×D5911yescharacteristic
1554C42C23×D5911yescharacteristic
1555C23—21no—
1556C23—21no—
1557C23—591no—
1558C23—591no—
1559C23—1181no—
1560C23—1181no—
1561C23—4721no—
1562C23—4721no—
1563C23—2362no—
1564C23—2362no—
1565C23—2362no—
1566C23—2362no—
1567C23C2×D4×D5911yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—21no—
1572Q8—81no—
1573Q8—1182no—
1574Q8—1181no—
1575Q8—1181no—
1576Q8—1181no—
1577Q8—1181no—
1578Q8—4721no—
1579Q8—4721no—
1580Q8—4721no—
1581Q8—2362no—
1582Q8—2362no—
1583D4—21no—
1584D4—21no—
1585D4—21no—
1586D4—42no—
1587D4—81no—
1588D4—592no—
1589D4—1182no—
1590D4—1182no—
1591D4—1182no—
1592D4—1181no—
1593D4—1181no—
1594D4—1181no—
1595D4—4721no—
1596D4—4721no—
1597D4—4721no—
1598D4—2362no—
1599D4—2362no—
1600D4—2362no—
1601D4—2362no—
1602D4—2362no—
1603D4#41×D5912yes—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—42no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—591no—
1618C2×C4—591no—
1619C2×C4—591no—
1620C2×C4—591no—
1621C2×C4—591no—
1622C2×C4—591no—
1623C2×C4—1182no—
1624C2×C4—1182no—
1625C2×C4—1181no—
1626C2×C4—1181no—
1627C2×C4—1181no—
1628C2×C4—1181no—
1629C2×C4—1181no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—4721no—
1636C2×C4—4721no—
1637C2×C4—4721no—
1638C2×C4—4721no—
1639C2×C4—4721no—
1640C2×C4—4721no—
1641C2×C4—4721no—
1642C2×C4—4721no—
1643C2×C4—4721no—
1644C2×C4—4721no—
1645C2×C4—2362no—
1646C2×C4—2362no—
1647C2×C4—2362no—
1648C2×C4—2362no—
1649C2×C4—2362no—
1650C2×C4—2362no—
1651C2×C4—2362no—
1652C2×C4C2×D4×D5911yescharacteristic
1653C2×C4C2×D4×D5911yescharacteristic
1654C2×C4C2×D4×D5911yescharacteristic
1655C2×C4C2×D4×D5911yescharacteristic
1656C2×C4C2×D4×D5911yescharacteristic
1657C2×C4C24×D5911yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—21no—
1662C8—592no—
1663C8—1181no—
1664C8—1181no—
1665C8—1181no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—22no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—592no—
1676C22—1181no—
1677C22—1181no—
1678C22—1181no—
1679C22—1181no—
1680C22—1181no—
1681C22—1182no—
1682C22—4724no—
1683C22—4724no—
1684C22—2361no—
1685C22—2361no—
1686C22—2361no—
1687C22—2361no—
1688C22—2361no—
1689C22C22×D4×D5911yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—592no—
1702C4—1181no—
1703C4—1181no—
1704C4—1181no—
1705C4—1181no—
1706C4—1181no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C4—2361no—
1711C4—2361no—
1712C4—2361no—
1713C4C2×#41×D5911yescharacteristic
1714C4#1683823811yescharacteristic
1715C2—41no—
1716C2—42no—
1717C2—81no—
1718C2—1182no—
1719C2—4721no—
1720C2—2361no—
1721C2—2362no—
1722C2#2143757911yescharacteristic
1723C2#576×D5911yescharacteristic
1724C2#578×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3124C2
socleC22×C59C23×D4
hypercenter#3124D59
hypocenterC59#61482
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3124

Complements

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

NH ≅ G/Ntype
1. #21438143C2semidirect
2. #21438135C2semidirect
3. #21437079C2semidirect
4. #21436946C2semidirect
5. #21436817C2semidirect
6. #21436809C2semidirect
7. #21436487C2semidirect
8. #21436483C2semidirect
9. #21436438C2semidirect
10. #21436399C2semidirect
11. #21436394C2semidirect
12. #21436184C2semidirect
13. #21436180C2semidirect
14. #21436174C2semidirect
15. #21436170C2semidirect
16. #21435811C2semidirect
17. #21435779C2semidirect
18. #21435776C2semidirect
19. #21434733C2semidirect
20. #21434729C2semidirect
21. #21434679C2semidirect
22. #21434364C2semidirect
23. #21434360C2semidirect
24. #21434354C2semidirect
25. #21434193C2semidirect
26. #21434193C2semidirect
27. #21433069C2semidirect
28. #21432969C2semidirect
29. #21432968C2semidirect
30. C4×D8×D59C2semidirect
31. C59×#3124C2semidirect
35. #16838124C22semidirect
36. #16838121C22semidirect
47. D4×Dic118C22semidirect
48. #16838067C22semidirect
51. #16838054C22semidirect
52. #16838053C22semidirect
53. #16838052C22semidirect
54. #16838051C22semidirect
59. #16838024C22semidirect
60. #16838023C22semidirect
61. #16838017C22semidirect
73. #16837884C22semidirect
74. #16837882C22semidirect
75. #16837881C22semidirect
78. #16837806C22semidirect
79. #16837806C22semidirect
80. #16837805C22semidirect
83. #16837780C22semidirect
84. #16837764C22semidirect
85. #16837763C22semidirect
86. #16837761C22semidirect
87. #16837760C22semidirect
88. #16837751C22semidirect
89. #16837751C22semidirect
92. #16837739C22semidirect
93. #16837738C22semidirect
96. #16837736C22semidirect
97. #16837717C22semidirect
98. #16837716C22semidirect
99. #16837714C22semidirect
100. #16837698C22semidirect
101. #16837696C22semidirect
102. #16837695C22semidirect
103. #16837683C22semidirect
104. #16837681C22semidirect
105. #16837681C22semidirect
106. #16837681C22semidirect
107. #16837680C22semidirect
108. #16837680C22semidirect
109. #16837680C22semidirect
110. #16837650C22semidirect
111. #16837649C22semidirect
112. #16837646C22semidirect
113. #16837645C22semidirect
117. #16837642C22semidirect
118. #16837641C22semidirect
122. #16837626C22semidirect
123. #16837625C22semidirect
124. #16837623C22semidirect
128. #16837606C22semidirect
129. #16837606C22semidirect
130. #16837605C22semidirect
131. #16837605C22semidirect
132. #16837566C22semidirect
133. #16837565C22semidirect
134. #16837563C22semidirect
142. #16837531C22semidirect
143. #16837526C22semidirect
144. #16837504C22semidirect
145. #16837504C22semidirect
146. #16837503C22semidirect
147. #16837502C22semidirect
148. #16837502C22semidirect
149. #16837502C22semidirect
150. #16837501C22semidirect
151. #16837500C22semidirect
152. #16837500C22semidirect
153. #16837500C22semidirect
154. C4×Dic236C22semidirect
155. C4×#11745672C22semidirect
156. C4×#11745672C22semidirect
157. C4×#11745672C22semidirect
158. #16837494C22semidirect
168. #16837477C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837461C22semidirect
176. C2×#14273660C22semidirect
178. #107×D59C22semidirect
179. #16837403C22semidirect
180. #16837402C22semidirect
181. #16837401C22semidirect
182. #16837400C22semidirect
185. #16837359C22semidirect
186. #16837358C22semidirect
188. C59×#542C22semidirect
189. C59×#520C22semidirect
190. C59×#484C22semidirect
191. C59×#480C22semidirect
192. C59×#477C22semidirect
193. C59×#474C22semidirect
194. C59×#464C22semidirect
196. C59×#452C22semidirect
198. C59×#440C22semidirect
199. C59×#440C22semidirect
200. C4×Q16×C59C22semidirect
202. C59×#433C22semidirect
606. #11745669#41semidirect
877. #3124D59semidirect
924. #542C2×D59semidirect
939. #520C2×D59semidirect
961. #484C2×D59semidirect
965. #480C2×D59semidirect
969. #477C2×D59semidirect
977. #474C2×D59semidirect
993. #464C2×D59semidirect
1005. #452C2×D59semidirect
1026. #440C2×D59semidirect
1027. #440C2×D59semidirect
1033. C4×Q16C2×D59semidirect
1051. #433C2×D59semidirect
1065. C59#61482semidirect

Maximal subgroups

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

subgroupindex
#214381432
#214381352
#214370792
#214369462
#214368172
#214368092
#214364872
#214364832
#214364382
#214363992
#214363942
#214361842
#214361802
#214361742
#214361702
#214358112
#214357792
#214357762
#214347332
#214347292
#214346792
#214343642
#214343602
#214343542
#214341932
#214330692
#214329692
#214329682
C4×D8×D592
C59×#31242
#6148259