Finite Group Databasebeta

← #28252459

Subgroups — #28252459

Order 13568.

2038 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288099C211yesmaximal, characteristic, complemented
2#20287915C211yesmaximal, characteristic, complemented
3#20285017C211yesmaximal, characteristic, complemented
4#20285004C211yesmaximal, characteristic, complemented
5#20284995C211yesmaximal, characteristic, complemented
6#20284993C211yesmaximal, characteristic, complemented
7#20284972C211yesmaximal, characteristic, complemented
8#20284970C211yesmaximal, characteristic, complemented
9#20284969C211yesmaximal, characteristic, complemented
10#20284956C211yesmaximal, characteristic, complemented
11#20284942C211yesmaximal, characteristic, complemented
12#20284940C211yesmaximal, characteristic, complemented
13#20284931C211yesmaximal, characteristic, complemented
14#20284929C211yesmaximal, characteristic, complemented
15#20284908C211yesmaximal, characteristic, complemented
16#20284897C211yesmaximal, characteristic, complemented
17#20284895C211yesmaximal, characteristic, complemented
18#20284625C211yesmaximal, characteristic, complemented
19#20284623C211yesmaximal, characteristic, complemented
20#20284502C211yesmaximal, characteristic, complemented
21#20284500C211yesmaximal, characteristic, complemented
22#20284165C211yesmaximal, characteristic, complemented
23#20284163C211yesmaximal, characteristic, complemented
24#20283930C211yesmaximal, characteristic, complemented
25#20283930C211yesmaximal, characteristic, complemented
26#20283512C211yesmaximal, characteristic, complemented
27#20283510C211yesmaximal, characteristic, complemented
28C4×#13133238C211yesmaximal, characteristic, complemented
29C4×#13133236C211yesmaximal, characteristic, complemented
30#433×D53C211yesmaximal, characteristic, complemented
31C53×#3119C211yesmaximal, characteristic, complemented
32C2×#41×D53C2211yescharacteristic
33C2×#13133238C2211yescharacteristic
34C2×#13133238C2211yescharacteristic
35C2×#13133236C2211yescharacteristic
36C2×#13133236C2211yescharacteristic
37#16811240C2211yescharacteristic, complemented
38#16811240C2211yescharacteristic, complemented
39#16811238C2211yescharacteristic
40#16811238C2211yescharacteristic
41#16811236C2211yescharacteristic
42#16811235C2211yescharacteristic, complemented
43#16811227C2211yescharacteristic
44#16811216—21no—
45#16811216—21no—
46#16811205—21no—
47#16811205—21no—
48#16811179C2211yescharacteristic, complemented
49#16811171C2211yescharacteristic, complemented
50#16811154—21no—
51#16811154—21no—
52#16811150—21no—
53#16811150—21no—
54#16811133C2211yescharacteristic
55#16811133C2211yescharacteristic
56#16811106C2211yescharacteristic
57#16811104—21no—
58#16811104C2211yescharacteristic
59#16811103—21no—
60#16811103C2211yescharacteristic
61#16811099C2211yescharacteristic
62#16811099C2211yescharacteristic
63#16811095—21no—
64#16811095—21no—
65#16811095C2211yescharacteristic
66#16811095C2211yescharacteristic
67C4×#11719949C2211yescharacteristic
68C4×#11719949C2211yescharacteristic
69C4×#11719947—21no—
70C4×#11719947—21no—
71C4×#11719947C2211yescharacteristic
72C4×#11719947C2211yescharacteristic
73C4×#11719947C2211yescharacteristic, complemented
74C4×#11719947C2211yescharacteristic, complemented
75C2×#13133175—21no—
76C2×#13133175C2211yescharacteristic
77#117×D53—21no—
78#117×D53C2211yescharacteristic
79#16810967C2211yescharacteristic
80#16810967C2211yescharacteristic
81#16810966C2211yescharacteristic
82#16810966C2211yescharacteristic
83#16810959C2211yescharacteristic, complemented
84#16810958C2211yescharacteristic, complemented
85#16810954C2211yescharacteristic, complemented
86#16810953C2211yescharacteristic, complemented
87#16810946C2211yescharacteristic
88#16810946C2211yescharacteristic
89#16810945C2211yescharacteristic
90#16810945C2211yescharacteristic
91#16810939C2211yescharacteristic, complemented
92#16810934C2211yescharacteristic, complemented
93#16810931C2211yescharacteristic, complemented
94#16810930C2211yescharacteristic, complemented
95#16810927C2211yescharacteristic, complemented
96#16810924C2211yescharacteristic, complemented
97#16810923C2211yescharacteristic, complemented
98#16810920C2211yescharacteristic, complemented
99#16810917C2211yescharacteristic, complemented
100#16810916C2211yescharacteristic, complemented
101#16810912C2211yescharacteristic, complemented
102#16810911C2211yescharacteristic, complemented
103#16810907C2211yescharacteristic, complemented
104#16810906C2211yescharacteristic, complemented
105#16810902C2211yescharacteristic, complemented
106#16810901C2211yescharacteristic, complemented
107#16810844C2211yescharacteristic, complemented
108#16810844C2211yescharacteristic, complemented
109#16810843C2211yescharacteristic, complemented
110#16810843C2211yescharacteristic, complemented
111#16810837C2211yescharacteristic, complemented
112#16810837C2211yescharacteristic, complemented
113#16810836C2211yescharacteristic, complemented
114#16810836C2211yescharacteristic, complemented
115#16810834C2211yescharacteristic, complemented
116#16810833C2211yescharacteristic, complemented
117#16810829C2211yescharacteristic, complemented
118#16810828C2211yescharacteristic, complemented
119#16810820C2211yescharacteristic, complemented
120#16810815C2211yescharacteristic, complemented
121#16810787C2211yescharacteristic
122#16810787C2211yescharacteristic
123#16810785C2211yescharacteristic
124#16810785C2211yescharacteristic
125#16810780C2211yescharacteristic
126#16810780C2211yescharacteristic
127#16810775C2211yescharacteristic
128#16810775C2211yescharacteristic
129#16810766C2211yescharacteristic
130#16810766C2211yescharacteristic
131#16810760C2211yescharacteristic
132#16810760C2211yescharacteristic
133#16810755C2211yescharacteristic
134#16810755C2211yescharacteristic
135#16810735C2211yescharacteristic, complemented
136#16810733C2211yescharacteristic, complemented
137#16810732C2211yescharacteristic, complemented
138#16810731C2211yescharacteristic, complemented
139#16810729C2211yescharacteristic, complemented
140#16810728C2211yescharacteristic, complemented
141#16810727C2211yescharacteristic, complemented
142#16810725C2211yescharacteristic, complemented
143#16810724C2211yescharacteristic, complemented
144#16810723C2211yescharacteristic, complemented
145#16810723C2211yescharacteristic, complemented
146#16810722C2211yescharacteristic, complemented
147#16810720C2211yescharacteristic, complemented
148#16810720C2211yescharacteristic, complemented
149C4×Dic212C2211yescharacteristic, complemented
150#16810717C2211yescharacteristic, complemented
151C4×#11719925C2211yescharacteristic, complemented
152#16810715C2211yescharacteristic, complemented
153#16810714C2211yescharacteristic, complemented
154#16810714C2211yescharacteristic, complemented
155C4×#11719913C2211yescharacteristic, complemented
156SD16×Dic53C2211yescharacteristic, complemented
157#16810710C2211yescharacteristic, complemented
158C4×#11719923C2211yescharacteristic, complemented
159C4×#11719923C2211yescharacteristic, complemented
160D8×Dic53C2211yescharacteristic, complemented
161C4×#11719922C2211yescharacteristic, complemented
162#16810703C2211yescharacteristic, complemented
163#16810685C2211yescharacteristic
164#16810684C2211yescharacteristic, complemented
165#16810683C2211yescharacteristic
166#16810683C2211yescharacteristic
167#16810682C2211yescharacteristic
168#16810681C2211yescharacteristic, complemented
169#16810681C2211yescharacteristic, complemented
170#16810660C2211yescharacteristic, complemented
171#16810660C2211yescharacteristic, complemented
172#16810658C2211yescharacteristic, complemented
173#16810658C2211yescharacteristic, complemented
174C4⋊C8×D53C2211yescharacteristic, complemented
175C4⋊C8×D53C2211yescharacteristic, complemented
176#16810618C2211yescharacteristic
177#16810618C2211yescharacteristic
178#16810616C2211yescharacteristic
179#16810616C2211yescharacteristic
180#16810616C2211yescharacteristic, complemented
181#16810616C2211yescharacteristic, complemented
182#16810616C2211yescharacteristic, complemented
183#16810616C2211yescharacteristic, complemented
184C22⋊C8×D53C2211yescharacteristic
185C22⋊C8×D53C2211yescharacteristic
186#97×D53C2211yescharacteristic, complemented
187C4×C8×D53C2211yescharacteristic, complemented
188C53×#540C2211yescharacteristic, complemented
189C53×#520C2211yescharacteristic
190C53×#481C2211yescharacteristic, complemented
191C53×#480C2211yescharacteristic, complemented
192C53×#479C2211yescharacteristic, complemented
193C53×#478C2211yescharacteristic, complemented
194C53×#460C2211yescharacteristic, complemented
195C53×#459C2211yescharacteristic, complemented
196C53×#449C2211yescharacteristic
197C53×#449C2211yescharacteristic
198C53×#442C2211yescharacteristic, complemented
199C53×#440C2211yescharacteristic, complemented
200C4×SD16×C53C2211yescharacteristic, complemented
201C4×D8×C53C2211yescharacteristic, complemented
202C53×#433C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719945—21no—
205C2×#11719945C2311yescharacteristic
206C2×#11719947—21no—
207C2×#11719947C2311yescharacteristic
208C2×#11719947C2311yescharacteristic
209C2×#11719947C2311yescharacteristic
210#41×D53—24no—
211#41×D53—24no—
212C2×Q8×D53C2311yescharacteristic
213C2×D4×D53—21no—
214C2×D4×D53C2311yescharacteristic
215C22×C4×D53—21no—
216C22×C4×D53C2311yescharacteristic
217#13133238—24no—
218#13133238—24no—
219#13133236—24no—
220#13133236—24no—
221C2×Dic212C2311yescharacteristic
222C2×Dic212C2311yescharacteristic
223C2×#11719925C2311yescharacteristic
224C2×#11719925C2311yescharacteristic
225C2×#11719913C2311yescharacteristic
226C2×#11719913C2311yescharacteristic
227C2×#11719923C2311yescharacteristic
228C2×#11719923C2311yescharacteristic
229C2×#11719923C2311yescharacteristic
230C2×#11719923C2311yescharacteristic
231C2×#11719922C2311yescharacteristic
232C2×#11719922C2311yescharacteristic
233C2×C8×D53C2311yescharacteristic
234C2×C8×D53C2311yescharacteristic
235C2×C8×D53C2311yescharacteristic
236C2×C8×D53C2311yescharacteristic
237#13133217C2311yescharacteristic
238#13133216C2311yescharacteristic
239#13133216C2311yescharacteristic
240#13133212—21no—
241#13133212—21no—
242#13133210—21no—
243#13133210—21no—
244#13133210—21no—
245#13133210—21no—
246#13133210—21no—
247#13133210—21no—
248#13133209C2311yescharacteristic
249#13133208—21no—
250#13133208—21no—
251#13133207—21no—
252#13133207—21no—
253#13133204—21no—
254#13133204—21no—
255#13133204C2311yescharacteristic
256#13133204C2311yescharacteristic
257#13133203—21no—
258#13133203—21no—
259#13133200—21no—
260#13133200—21no—
261#13133199—21no—
262#13133199—21no—
263#13133198—21no—
264#13133198—21no—
265#13133198—21no—
266#13133198—21no—
267#13133197C2311yescharacteristic
268#13133197C2311yescharacteristic
269#13133196—21no—
270#13133196—21no—
271#13133196C2311yescharacteristic
272#13133196C2311yescharacteristic
273#13133195—21no—
274#13133195—21no—
275#13133194—21no—
276#13133194—21no—
277#13133189—21no—
278#13133189—21no—
279#13133188—21no—
280#13133188—21no—
281#13133188C2311yescharacteristic
282#13133188C2311yescharacteristic
283#13133185—21no—
284#13133185—21no—
285Q8×Dic53C2311yescharacteristic
286Q8×Dic53C2311yescharacteristic
287C4×Dic106—21no—
288C4×Dic106—21no—
289C4×Dic106C2311yescharacteristic
290C4×Dic106C2311yescharacteristic
291C4×Dic106C2311yescharacteristic
292C4×Dic106C2311yescharacteristic
293#13133182—21no—
294#13133182—21no—
295#13133182—21no—
296#13133182—21no—
297#13133182C2311yescharacteristic
298#13133182C2311yescharacteristic
299#13133182C2311yescharacteristic
300#13133182C2311yescharacteristic
301C4×D212—21no—
302C4×D212—21no—
303C4×D212C2311yescharacteristic
304C4×D212C2311yescharacteristic
305D4×Dic53—21no—
306D4×Dic53—21no—
307D4×Dic53—21no—
308D4×Dic53—21no—
309D4×Dic53—21no—
310D4×Dic53—21no—
311D4×Dic53C2311yescharacteristic
312D4×Dic53C2311yescharacteristic
313D4×Dic53C2311yescharacteristic
314D4×Dic53C2311yescharacteristic
315#13133179—21no—
316#13133179—21no—
317#13133179C2311yescharacteristic
318#13133179C2311yescharacteristic
319C4×C22⋊D53—21no—
320C4×C22⋊D53—21no—
321C4×C22⋊D53—21no—
322C4×C22⋊D53—21no—
323C4×C22⋊D53—21no—
324C4×C22⋊D53—21no—
325C4×C22⋊D53—21no—
326C4×C22⋊D53—21no—
327#13133177—21no—
328#13133177—21no—
329#13133177—21no—
330#13133177—21no—
331#13133177—21no—
332#13133177—21no—
333#13133177—21no—
334#13133177—21no—
335#13133177—21no—
336#13133177—21no—
337#13133176—21no—
338#13133176C2311yescharacteristic
339#13133175—21no—
340#13133175—21no—
341#13133175—21no—
342#13133175—21no—
343#13133175—21no—
344#13133175—21no—
345#13133175—21no—
346#13133175—21no—
347#13133175D411yescharacteristic
348#13133175D411yescharacteristic
349#13133175C2311yescharacteristic
350#13133175C2311yescharacteristic
351#13133175C2311yescharacteristic
352#13133175C2311yescharacteristic
353#13133175C2311yescharacteristic
354#13133175C2311yescharacteristic
355#13133174—21no—
356#13133174—21no—
357#13133174C2311yescharacteristic
358#13133174C2311yescharacteristic
359#13133173—21no—
360#13133173—21no—
361#13133173—21no—
362#13133173—21no—
363#13133173D411yescharacteristic
364#13133173D411yescharacteristic
365C2×C4⋊Dic53—21no—
366C2×C4⋊Dic53C2311yescharacteristic
367C4⋊C4×D53—21no—
368C4⋊C4×D53—21no—
369C4⋊C4×D53D411yescharacteristic
370C4⋊C4×D53D411yescharacteristic
371C2×#11719921—21no—
372C2×#11719921—21no—
373C2×#11719921—21no—
374C22⋊C4×D53—21no—
375C22⋊C4×D53—21no—
376C22⋊C4×D53D411yescharacteristic
377C22⋊C4×D53D411yescharacteristic
378C2×C4×Dic53—21no—
379C2×C4×Dic53—21no—
380C2×C4×Dic53—21no—
381C2×C4×Dic53—21no—
382C2×C4×Dic53—21no—
383C42×D53—21no—
384C42×D53—21no—
385C42×D53C2311yescharacteristic
386C42×D53C2311yescharacteristic
387#13133151C2311yescharacteristic
388#13133151C2311yescharacteristic
389#13133150C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133150C2311yescharacteristic
392#13133150C2311yescharacteristic
393#13133149C2311yescharacteristic
394#13133149C2311yescharacteristic
395#13133148C2311yescharacteristic
396#13133148C2311yescharacteristic
397#13133148C2311yescharacteristic
398#13133148C2311yescharacteristic
399C4⋊#88322C2311yescharacteristic
400C4⋊#88322C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133146C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133142C2311yescharacteristic
408#13133142C2311yescharacteristic
409#13133142C2311yescharacteristic
410#13133142C2311yescharacteristic
411#13133141C2311yescharacteristic
412#13133141C2311yescharacteristic
413#13133140C2311yescharacteristic
414#13133140C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133140C2311yescharacteristic
417#13133140C2311yescharacteristic
418#13133140C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133138C2311yescharacteristic
426#13133138C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429C22⋊#88322C2311yescharacteristic
430C22⋊#88322C2311yescharacteristic
431#13133129C2311yescharacteristic
432#13133129C2311yescharacteristic
433#13133129C2311yescharacteristic
434#13133129C2311yescharacteristic
435#13133128C2311yescharacteristic
436#13133127C2311yescharacteristic
437#13133127C2311yescharacteristic
438C4×#88322C2311yescharacteristic
439C8×Dic53C2311yescharacteristic
440C8×Dic53C2311yescharacteristic
441C2×#41×C53C2311yescharacteristic
442C2×SD16×C53C2311yescharacteristic
443C2×SD16×C53C2311yescharacteristic
444C2×D8×C53C2311yescharacteristic
445C2×D8×C53C2311yescharacteristic
446#127×C53C2311yescharacteristic
447#125×C53C2311yescharacteristic
448#123×C53—21no—
449#123×C53—21no—
450#121×C53—21no—
451#121×C53—21no—
452#121×C53C2311yescharacteristic
453#121×C53C2311yescharacteristic
454C4×Q8×C53C2311yescharacteristic
455C4×Q8×C53C2311yescharacteristic
456C4×D4×C53—21no—
457C4×D4×C53—21no—
458C4×D4×C53C2311yescharacteristic
459C4×D4×C53C2311yescharacteristic
460C4×D4×C53C2311yescharacteristic
461C4×D4×C53C2311yescharacteristic
462#117×C53—21no—
463#117×C53C2311yescharacteristic
464C2×C4⋊C4×C53—21no—
465C2×C4⋊C4×C53C2311yescharacteristic
466#107×C53C2311yescharacteristic
467#107×C53C2311yescharacteristic
468#106×C53C2311yescharacteristic
469#106×C53C2311yescharacteristic
470C4⋊C8×C53C2311yescharacteristic
471C4⋊C8×C53C2311yescharacteristic
472#103×C53C2311yescharacteristic
473#103×C53C2311yescharacteristic
474#102×C53C2311yescharacteristic
475#102×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478#102×C53C2311yescharacteristic
479#102×C53C2311yescharacteristic
480C22⋊C8×C53C2311yescharacteristic
481C22⋊C8×C53C2311yescharacteristic
482#97×C53C2311yescharacteristic
483C4×C8×C53C2311yescharacteristic
484C23×D53—21no—
485C23×D53C2×D411yescharacteristic
486#41×C53—22no—
487#41×C53—22no—
488C2×Q8×C53C2411yescharacteristic
489C2×D4×C53—21no—
490C2×D4×C53—21no—
491C2×D4×C53—21no—
492C2×D4×C53—21no—
493C2×D4×C53—21no—
494C2×D4×C53C2411yescharacteristic
495C2×D4×C53C2411yescharacteristic
496C2×D4×C53C2411yescharacteristic
497C22×C4×C53—21no—
498C22×C4×C53—21no—
499C22×C4×C53—21no—
500C22×C4×C53—21no—
501C22×C4×C53—21no—
502C22×C4×C53—21no—
503C22×C4×C53C2411yescharacteristic
504C2×C22⋊D53—21no—
505C2×C22⋊D53—21no—
506C2×C22⋊D53—21no—
507C2×C22⋊D53—21no—
508C2×C22⋊D53—21no—
509C2×C22⋊D53—21no—
510C2×C22⋊D53—21no—
511C22×Dic53—21no—
512C22×Dic53—21no—
513C22×Dic53—21no—
514C22×Dic53—21no—
515C22×Dic53—21no—
516C22×Dic53—21no—
517C22×Dic53—21no—
518C22×Dic53—21no—
519C22×Dic53C2×D411yescharacteristic
520#11719949—22no—
521#11719949#4114yes—
522Q8×D53—22no—
523Q8×D53—22no—
524#11719947—28no—
525#11719947—22no—
526#11719947—22no—
527#11719947—22no—
528#11719947—22no—
529#11719947—22no—
530#11719947#4114yes—
531D4×D53—28no—
532D4×D53—22no—
533D4×D53—22no—
534#11719945—28no—
535#11719945—22no—
536#11719945—22no—
537C2×D212—21no—
538C2×D212C2411yescharacteristic
539C2×C4×D53—28no—
540C2×C4×D53—21no—
541C2×C4×D53—21no—
542C2×C4×D53—21no—
543C2×C4×D53—22no—
544C2×C4×D53—22no—
545C2×C4×D53—21no—
546C2×C4×D53—21no—
547C2×C4×D53—21no—
548C2×C4×D53—21no—
549C2×C4×D53C2×D411yescharacteristic
550C2×C4×D53C2×D411yescharacteristic
551C2×C4×D53C2×D411yescharacteristic
552C2×C4×D53C2×D411yescharacteristic
553C2×C4×D53C2×D411yescharacteristic
554C2×C4×D53C2×D411yescharacteristic
555C2×C4×D53C2411yescharacteristic
556C2×C4×D53C2411yescharacteristic
557C2×Dic106—21no—
558C2×Dic106—21no—
559C2×Dic106—21no—
560C2×Dic106C2411yescharacteristic
561C2×Dic106C2411yescharacteristic
562C2×Dic106C2411yescharacteristic
563SD16×C53—22no—
564SD16×C53—22no—
565D8×C53—22no—
566D8×C53—22no—
567C2×C8×C53C2411yescharacteristic
568C2×C8×C53C2411yescharacteristic
569C2×C8×C53C2411yescharacteristic
570C2×C8×C53C2411yescharacteristic
571C4⋊C4×C53—21no—
572C4⋊C4×C53—21no—
573C4⋊C4×C53—21no—
574C4⋊C4×C53—21no—
575C4⋊C4×C53—21no—
576C4⋊C4×C53C2×D411yescharacteristic
577C4⋊C4×C53C2×D411yescharacteristic
578C4⋊C4×C53C2411yescharacteristic
579C4⋊C4×C53C2411yescharacteristic
580C4⋊C4×C53C2411yescharacteristic
581C4⋊C4×C53C2411yescharacteristic
582C22⋊C4×C53—21no—
583C22⋊C4×C53—21no—
584C22⋊C4×C53—21no—
585C22⋊C4×C53—21no—
586C22⋊C4×C53—21no—
587C22⋊C4×C53—21no—
588C22⋊C4×C53C2×D411yescharacteristic
589C22⋊C4×C53C2×D411yescharacteristic
590C42×C53—21no—
591C42×C53—21no—
592C42×C53C2411yescharacteristic
593C42×C53C2411yescharacteristic
594C22⋊Dic53—21no—
595C22⋊Dic53—21no—
596C22⋊Dic53—21no—
597C22⋊Dic53—21no—
598C22⋊Dic53—21no—
599C22⋊Dic53—21no—
600C22⋊Dic53—21no—
601C22⋊Dic53—21no—
602C22⋊Dic53—21no—
603C22⋊Dic53—21no—
604C22⋊Dic53—21no—
605C22⋊Dic53—21no—
606C22⋊Dic53C2×D411yescharacteristic
607C22⋊Dic53C2×D411yescharacteristic
608#11719925—22no—
609#11719925—22no—
610#11719923—22no—
611#11719923—22no—
612#11719923—22no—
613#11719923—22no—
614#11719922—22no—
615#11719922—22no—
616#11719921—21no—
617#11719921—21no—
618#11719921—21no—
619#11719921—21no—
620#11719921—21no—
621#11719921—21no—
622#11719921—21no—
623#11719921—21no—
624#11719921—21no—
625#11719921—21no—
626#11719921—21no—
627#11719921—21no—
628#11719921C2×D411yescharacteristic
629#11719921C2×D411yescharacteristic
630#11719921C2×D411yescharacteristic
631#11719921C2×D411yescharacteristic
632C4⋊Dic53—21no—
633C4⋊Dic53—21no—
634C4⋊Dic53—21no—
635C4⋊Dic53—21no—
636C4⋊Dic53—21no—
637C4⋊Dic53—21no—
638C4⋊Dic53—21no—
639C4⋊Dic53C2×D411yescharacteristic
640C4⋊Dic53C2×D411yescharacteristic
641C4⋊Dic53C2411yescharacteristic
642C4⋊Dic53C2411yescharacteristic
643C4⋊Dic53C2411yescharacteristic
644C4⋊Dic53C2411yescharacteristic
645#11719919—21no—
646#11719919—21no—
647#11719919—21no—
648#11719919—21no—
649#11719919—21no—
650#11719919—21no—
651#11719919—21no—
652#11719919—21no—
653#11719919—21no—
654#11719919—21no—
655#11719919—21no—
656#11719919—21no—
657#11719919—21no—
658#11719919—21no—
659#11719919C2×D411yescharacteristic
660#11719919C2×D411yescharacteristic
661#11719919C2×D411yescharacteristic
662#11719919C2×D411yescharacteristic
663C4×Dic53—21no—
664C4×Dic53—21no—
665C4×Dic53—21no—
666C4×Dic53—21no—
667C4×Dic53—21no—
668C4×Dic53—21no—
669C4×Dic53—21no—
670C4×Dic53—21no—
671C4×Dic53—21no—
672C4×Dic53—21no—
673C4×Dic53—21no—
674C4×Dic53—21no—
675C4×Dic53—21no—
676C4×Dic53—21no—
677C4×Dic53—21no—
678C4×Dic53—21no—
679C4×Dic53C2×D411yescharacteristic
680C4×Dic53C2×D411yescharacteristic
681C4×Dic53C2×D411yescharacteristic
682C4×Dic53C2×D411yescharacteristic
683C4×Dic53C2411yescharacteristic
684C4×Dic53C2411yescharacteristic
685C2×#88322C2411yescharacteristic
686C2×#88322C2411yescharacteristic
687C2×#88322C2411yescharacteristic
688C2×#88322C2411yescharacteristic
689Dic212—22no—
690Dic212—22no—
691#11719913—22no—
692#11719913—22no—
693C8×D53—22no—
694C8×D53—22no—
695C8×D53—22no—
696C8×D53—22no—
697C23×C53—21no—
698C23×C53—21no—
699C23×C53—21no—
700C23×C53C22×D411yescharacteristic
701C22×D53—21no—
702C22×D53—24no—
703C22×D53—22no—
704C22×D53—41no—
705C22×D53—41no—
706C22×D53—81no—
707C22×D53—81no—
708C22×D53C22×D411yescharacteristic
709C22×D53C22×D411yescharacteristic
710Q8×C53—21no—
711Q8×C53C2×#4112yes—
712D4×C53—24no—
713D4×C53—21no—
714D4×C53—21no—
715D4×C53—21no—
716D4×C53—21no—
717D4×C53—21no—
718D4×C53—81no—
719D4×C53—81no—
720D4×C53—81no—
721D4×C53—81no—
722D4×C53C2×#4112yes—
723C2×C4×C53—24no—
724C2×C4×C53—21no—
725C2×C4×C53—21no—
726C2×C4×C53—21no—
727C2×C4×C53—21no—
728C2×C4×C53—21no—
729C2×C4×C53—21no—
730C2×C4×C53—21no—
731C2×C4×C53—81no—
732C2×C4×C53—81no—
733C2×C4×C53—81no—
734C2×C4×C53—81no—
735C2×C4×C53—81no—
736C2×C4×C53C22×D411yescharacteristic
737C2×C4×C53C22×D411yescharacteristic
738C2×C4×C53C22×D411yescharacteristic
739C2×C4×C53C22×D411yescharacteristic
740C2×C4×C53C22×D411yescharacteristic
741C2×C4×C53C2511yescharacteristic
742C22⋊D53—24no—
743C22⋊D53—24no—
744C22⋊D53—24no—
745C22⋊D53—42no—
746C22⋊D53—42no—
747C22⋊D53—81no—
748C22⋊D53—81no—
749C2×Dic53—21no—
750C2×Dic53—22no—
751C2×Dic53—24no—
752C2×Dic53—21no—
753C2×Dic53—21no—
754C2×Dic53—21no—
755C2×Dic53—21no—
756C2×Dic53—21no—
757C2×Dic53—21no—
758C2×Dic53—42no—
759C2×Dic53—42no—
760C2×Dic53—81no—
761C2×Dic53—81no—
762C2×Dic53—81no—
763C2×Dic53—81no—
764C2×Dic53—81no—
765C2×Dic53C22×D411yescharacteristic
766C2×Dic53C22×D411yescharacteristic
767C2×Dic53C22×D411yescharacteristic
768C2×Dic53C22×D411yescharacteristic
769C2×Dic53C22×D411yescharacteristic
770C2×Dic53C22×D411yescharacteristic
771D212—24no—
772D212—21no—
773D212C2×#4112yes—
774C4×D53—24no—
775C4×D53—24no—
776C4×D53—22no—
777C4×D53—21no—
778C4×D53—21no—
779C4×D53—22no—
780C4×D53—24no—
781C4×D53—41no—
782C4×D53—41no—
783C4×D53—41no—
784C4×D53—41no—
785C4×D53—81no—
786C4×D53—81no—
787C4×D53—81no—
788C4×D53—81no—
789C4×D53C2×#4112yes—
790C4×D53C2×#4112yes—
791Dic106—24no—
792Dic106—21no—
793Dic106—21no—
794Dic106—21no—
795Dic106—21no—
796Dic106—21no—
797Dic106—81no—
798Dic106—81no—
799Dic106C2×#4112yes—
800C8×C53—21no—
801C8×C53—21no—
802C8×C53—21no—
803C8×C53—21no—
804#88322—21no—
805#88322—21no—
806#88322—21no—
807#88322—21no—
808#60557—531nomaximal, Sylow
809C22×C53—21no—
810C22×C53—21no—
811C22×C53—21no—
812C22×C53—22no—
813C22×C53—41no—
814C22×C53—41no—
815C22×C53—41no—
816C22×C53—41no—
817C22×C53—41no—
818C22×C53—41no—
819C22×C53—41no—
820C22×C53—41no—
821C22×C53C23×D411yescharacteristic
822C2×D53—21no—
823C2×D53—21no—
824C2×D53—21no—
825C2×D53—21no—
826C2×D53—21no—
827C2×D53—22no—
828C2×D53—41no—
829C2×D53—41no—
830C2×D53—82no—
831C2×D53—84no—
832C2×D53#52512yes—
833C4×C53—21no—
834C4×C53—21no—
835C4×C53—21no—
836C4×C53—21no—
837C4×C53—22no—
838C4×C53—21no—
839C4×C53—41no—
840C4×C53—41no—
841C4×C53—41no—
842C4×C53—41no—
843C4×C53C22×#4111yescharacteristic
844C4×C53C22×#4111yescharacteristic
845Dic53—21no—
846Dic53—21no—
847Dic53—21no—
848Dic53—21no—
849Dic53—21no—
850Dic53—22no—
851Dic53—41no—
852Dic53—41no—
853Dic53—41no—
854Dic53—41no—
855Dic53—41no—
856Dic53—41no—
857Dic53#52512yes—
858#3455—531no—
859#3428—531no—
860#3127—531no—
861#3126—531no—
862#3125—531no—
863#3125—531no—
864#3124—531no—
865#3124—531no—
866#3123—531no—
867#3122—531no—
868#3121—531no—
869#3121—531no—
870#3120—531no—
871#3120—531no—
872#3119—531no—
873#3119D5311yescharacteristic, complemented
874#3118—531no—
875#3118—531no—
876#3091—531no—
877#3091—531no—
878#3076—531no—
879#3076—531no—
880#3035—531no—
881#3035—531no—
882#3002—531no—
883#3002—531no—
884#2943—531no—
885#2943—531no—
886C4×#135—531no—
887C4×#135—531no—
888C2×#433—531no—
889C2×C53—41no—
890C2×C53—42no—
891C2×C53—81no—
892C2×C53—81no—
893C2×C53C2×#52511yescharacteristic
894C2×C53#358411yescharacteristic
895C2×C53#358411yescharacteristic
896D53—22no—
897D53—41no—
898D53—42no—
899C22×#41—531no—
900C2×#135—531no—
901C2×#135—531no—
902C2×#135—531no—
903C2×#135—531no—
904#542—531no—
905#542—531no—
906#542—531no—
907#542—531no—
908#541—531no—
909#541—531no—
910#540—531no—
911#540C2×D5311yescharacteristic, complemented
912#539—1061no—
913#539—1061no—
914#538—1061no—
915#538—1061no—
916#533—531no—
917#532—531no—
918#529—1061no—
919#529—1061no—
920#529—1061no—
921#529—1061no—
922#525—531no—
923#525—531no—
924#520—531no—
925#520—531no—
926#520—531no—
927#520—1061no—
928#520—1061no—
929#520C2×D5311yescharacteristic
930#519—531no—
931#519—531no—
932#518—531no—
933#518—531no—
934#518—1061no—
935#518—1061no—
936C4×#41—531no—
937C4×#41—531no—
938C4×#41—531no—
939C4×#41—531no—
940C4×#41—531no—
941C4×#41—531no—
942C4×#41—1061no—
943C4×#41—1061no—
944C2×#117—531no—
945C2×#117—531no—
946C2×#117—1061no—
947C2×#117—1061no—
948#485—531no—
949#485—531no—
950#485—531no—
951#485—531no—
952#484—531no—
953#484—531no—
954#483—531no—
955#483—531no—
956#482—531no—
957#482—531no—
958#482—531no—
959#482—531no—
960#481—531no—
961#481C2×D5311yescharacteristic, complemented
962#480—531no—
963#480C2×D5311yescharacteristic, complemented
964#479—531no—
965#479—531no—
966#479—531no—
967#479C2×D5311yescharacteristic, complemented
968#478—531no—
969#478—531no—
970#478—531no—
971#478C2×D5311yescharacteristic, complemented
972#477—531no—
973#477—531no—
974#476—531no—
975#476—531no—
976#475—531no—
977#475—531no—
978#474—531no—
979#474—531no—
980#464—531no—
981#464—531no—
982#464—531no—
983#464—531no—
984#463—531no—
985#463—531no—
986#463—531no—
987#463—531no—
988#462—531no—
989#462—531no—
990#461—531no—
991#461—531no—
992#460—531no—
993#460C2×D5311yescharacteristic, complemented
994#459—531no—
995#459C2×D5311yescharacteristic, complemented
996#452—531no—
997#452—531no—
998#452—531no—
999#452—531no—
1000#451—531no—
1001#451—531no—
1002#450—531no—
1003#450—531no—
1004#449—531no—
1005#449—531no—
1006#449C2×D5311yescharacteristic
1007#449C2×D5311yescharacteristic
1008#448—531no—
1009#448—531no—
1010#447—531no—
1011#447—531no—
1012#442—531no—
1013#442—531no—
1014#442—531no—
1015#442C2×D5311yescharacteristic, complemented
1016#441—531no—
1017#441—531no—
1018#441—531no—
1019#441—531no—
1020#440—531no—
1021#440—531no—
1022#440—531no—
1023#440—531no—
1024#440—531no—
1025#440—531no—
1026#440—531no—
1027#440C2×D5311yescharacteristic, complemented
1028C4×Q16—531no—
1029C4×Q16—531no—
1030C4×Q16—531no—
1031C4×Q16—531no—
1032C4×SD16—531no—
1033C4×SD16—531no—
1034C4×SD16—531no—
1035C4×SD16—531no—
1036C4×SD16—531no—
1037C4×SD16—531no—
1038C4×SD16—531no—
1039C4×SD16C2×D5311yescharacteristic, complemented
1040C4×D8—531no—
1041C4×D8—531no—
1042C4×D8—531no—
1043C4×D8C2×D5311yescharacteristic, complemented
1044#433—531no—
1045#433—531no—
1046#433—531no—
1047#433—531no—
1048#433—531no—
1049#433—531no—
1050#433—531no—
1051#433C2×D5311yescharacteristic, complemented
1052#427—531no—
1053#427—531no—
1054#427—531no—
1055#427—531no—
1056C2×C4⋊C8—531no—
1057C2×C4⋊C8—531no—
1058#416—531no—
1059#416—531no—
1060#416—531no—
1061#416—531no—
1062#416—531no—
1063#416—531no—
1064#416—531no—
1065#416—531no—
1066C2×C22⋊C8—531no—
1067C2×C22⋊C8—531no—
1068C2×#97—531no—
1069C2×C4×C8—531no—
1070C53#6055711yescharacteristic, complemented, Sylow
1071C2×#41—531no—
1072C2×#41—531no—
1073C2×#41—531no—
1074C2×#41—531no—
1075C2×#41—531no—
1076C2×#41—1061no—
1077C2×#41—1061no—
1078C2×#41—1064no—
1079C2×#41—1064no—
1080C2×#41C22×D5311yescharacteristic
1081C22×Q8—531no—
1082C22×D4—531no—
1083C22×D4—1061no—
1084C23×C4—531no—
1085C23×C4—1061no—
1086#135—1064no—
1087#135—1064no—
1088#135—1064no—
1089#135—1064no—
1090C2×Q16—531no—
1091C2×Q16—531no—
1092C2×Q16—531no—
1093C2×Q16—531no—
1094C2×SD16—531no—
1095C2×SD16—531no—
1096C2×SD16—531no—
1097C2×SD16—531no—
1098C2×SD16—531no—
1099C2×SD16—531no—
1100C2×SD16C22×D5311yescharacteristic
1101C2×SD16C22×D5311yescharacteristic
1102C2×D8—531no—
1103C2×D8—531no—
1104C2×D8C22×D5311yescharacteristic
1105C2×D8C22×D5311yescharacteristic
1106C22×C8—531no—
1107C22×C8—531no—
1108C22×C8—531no—
1109C22×C8—531no—
1110C4⋊Q8—531no—
1111C4⋊Q8—531no—
1112C4⋊Q8—531no—
1113#127C22×D5311yescharacteristic
1114#126—1061no—
1115#126—1061no—
1116#126—1061no—
1117#126—1061no—
1118#126—1061no—
1119#126—1061no—
1120#126—1061no—
1121#126—1061no—
1122#125—531no—
1123#125—1061no—
1124#125—1061no—
1125#125—1061no—
1126#125—1061no—
1127#125C22×D5311yescharacteristic
1128#124—531no—
1129#124—531no—
1130#124—1061no—
1131#124—1061no—
1132#124—1061no—
1133#124—1061no—
1134#123—21no—
1135#123—21no—
1136#123—1061no—
1137#123—1061no—
1138#123—1061no—
1139#123—1061no—
1140#123—1061no—
1141#123—1061no—
1142#123—1061no—
1143#123—1061no—
1144C22⋊Q8—531no—
1145C22⋊Q8—531no—
1146C22⋊Q8—531no—
1147C22⋊Q8—531no—
1148C22⋊Q8—1061no—
1149C22⋊Q8—1061no—
1150C22⋊Q8—1061no—
1151C22⋊Q8—1061no—
1152C22⋊Q8—1061no—
1153C22⋊Q8—1061no—
1154#121—21no—
1155#121—21no—
1156#121—531no—
1157#121—531no—
1158#121—1061no—
1159#121—1061no—
1160#121—1061no—
1161#121—1061no—
1162#121C22×D5311yescharacteristic
1163#121C22×D5311yescharacteristic
1164#120—1061no—
1165#120—1061no—
1166C4×Q8—531no—
1167C4×Q8—531no—
1168C4×Q8—531no—
1169C4×Q8—531no—
1170C4×Q8—531no—
1171C4×Q8—531no—
1172C4×Q8—531no—
1173C4×Q8—531no—
1174C4×Q8—531no—
1175C4×Q8—531no—
1176C4×Q8—1061no—
1177C4×Q8—1061no—
1178C4×Q8—1061no—
1179C4×Q8—1061no—
1180C4×Q8—1061no—
1181C4×Q8—1061no—
1182C4×Q8C22×D5311yescharacteristic
1183C4×Q8C22×D5311yescharacteristic
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—531no—
1187C4×D4—531no—
1188C4×D4—531no—
1189C4×D4—531no—
1190C4×D4—531no—
1191C4×D4—531no—
1192C4×D4—531no—
1193C4×D4—531no—
1194C4×D4—1061no—
1195C4×D4—1061no—
1196C4×D4—1061no—
1197C4×D4—1061no—
1198C4×D4—1061no—
1199C4×D4—1061no—
1200C4×D4—1061no—
1201C4×D4—1061no—
1202C4×D4—1061no—
1203C4×D4—1061no—
1204C4×D4—1061no—
1205C4×D4—1061no—
1206C4×D4—1061no—
1207C4×D4—1061no—
1208C4×D4—1061no—
1209C4×D4—1061no—
1210C4×D4—1061no—
1211C4×D4—1061no—
1212C4×D4—1061no—
1213C4×D4—1061no—
1214C4×D4—1061no—
1215C4×D4—1061no—
1216C4×D4—1061no—
1217C4×D4—1061no—
1218C4×D4—1061no—
1219C4×D4—1061no—
1220C4×D4—1061no—
1221C4×D4—1061no—
1222C4×D4C22×D5311yescharacteristic
1223C4×D4C22×D5311yescharacteristic
1224C4×D4C22×D5311yescharacteristic
1225C4×D4C22×D5311yescharacteristic
1226#117—21no—
1227#117—531no—
1228#117—531no—
1229#117—531no—
1230#117—531no—
1231#117—531no—
1232#117—531no—
1233#117—531no—
1234#117—531no—
1235#117—531no—
1236#117—531no—
1237#117—531no—
1238#117—531no—
1239#117—531no—
1240#117—1061no—
1241#117—1061no—
1242#117—1061no—
1243#117—1061no—
1244#117—1061no—
1245#117—1061no—
1246#117—1061no—
1247#117—1061no—
1248#117—1061no—
1249#117—1061no—
1250#117—1061no—
1251#117—1061no—
1252#117—1061no—
1253#117—1061no—
1254#117—1061no—
1255#117C22×D5311yescharacteristic
1256C2×C4⋊C4—21no—
1257C2×C4⋊C4—531no—
1258C2×C4⋊C4—531no—
1259C2×C4⋊C4—531no—
1260C2×C4⋊C4—1061no—
1261C2×C4⋊C4—1061no—
1262C2×C4⋊C4—1061no—
1263C2×C4⋊C4C22×D5311yescharacteristic
1264C2×C22⋊C4—531no—
1265C2×C22⋊C4—531no—
1266C2×C22⋊C4—1061no—
1267C2×C22⋊C4—1061no—
1268C2×C22⋊C4—1061no—
1269C2×C22⋊C4—1061no—
1270C2×C22⋊C4—1061no—
1271C2×C42—531no—
1272C2×C42—531no—
1273C2×C42—1061no—
1274C2×C42—1061no—
1275C2×C42—1061no—
1276C2×C42—1061no—
1277C2×C42—1061no—
1278C2×C42—1061no—
1279C2×C42—1061no—
1280#107—531no—
1281#107—531no—
1282#107—531no—
1283#107—531no—
1284#107—531no—
1285#107—531no—
1286#107C22×D5311yescharacteristic
1287#107C22×D5311yescharacteristic
1288#106—531no—
1289#106—531no—
1290#106—531no—
1291#106—531no—
1292#106—531no—
1293#106—531no—
1294#106C22×D5311yescharacteristic
1295#106C22×D5311yescharacteristic
1296C4⋊C8—531no—
1297C4⋊C8—531no—
1298C4⋊C8—531no—
1299C4⋊C8—531no—
1300C4⋊C8—531no—
1301C4⋊C8—531no—
1302C4⋊C8C22×D5311yescharacteristic
1303C4⋊C8C22×D5311yescharacteristic
1304#103—531no—
1305#103—531no—
1306#103—531no—
1307#103—531no—
1308#103—531no—
1309#103—531no—
1310#103—531no—
1311#103—531no—
1312#103—531no—
1313#103—531no—
1314#103—531no—
1315#103—531no—
1316#103—531no—
1317#103—531no—
1318#103C22×D5311yescharacteristic
1319#103C22×D5311yescharacteristic
1320#102—531no—
1321#102—531no—
1322#102—531no—
1323#102—531no—
1324#102—531no—
1325#102—531no—
1326#102—531no—
1327#102—531no—
1328#102—531no—
1329#102—531no—
1330#102C22×D5311yescharacteristic
1331#102C22×D5311yescharacteristic
1332#102C22×D5311yescharacteristic
1333#102C22×D5311yescharacteristic
1334#102C22×D5311yescharacteristic
1335#102C22×D5311yescharacteristic
1336C22⋊C8—531no—
1337C22⋊C8—531no—
1338C22⋊C8—531no—
1339C22⋊C8—531no—
1340C22⋊C8—531no—
1341C22⋊C8—531no—
1342C22⋊C8C22×D5311yescharacteristic
1343C22⋊C8C22×D5311yescharacteristic
1344#97—531no—
1345#97—531no—
1346#97—531no—
1347#97C22×D5311yescharacteristic
1348C4×C8—531no—
1349C4×C8—531no—
1350C4×C8—531no—
1351C4×C8C22×D5311yescharacteristic
1352C24—531no—
1353C24—1061no—
1354#41—22no—
1355#41—22no—
1356#41—534no—
1357#41—534no—
1358#41—1062no—
1359#41—1062no—
1360#41—1068no—
1361#41—1062no—
1362#41—1062no—
1363#41—1062no—
1364#41—1062no—
1365#41—1062no—
1366#41—1062no—
1367#41—1068no—
1368C2×Q8—531no—
1369C2×Q8—531no—
1370C2×Q8—531no—
1371C2×Q8—1061no—
1372C2×Q8—1061no—
1373C2×Q8—1061no—
1374C2×Q8—1062no—
1375C2×Q8—1062no—
1376C2×Q8C23×D5311yescharacteristic
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—531no—
1383C2×D4—1061no—
1384C2×D4—1061no—
1385C2×D4—1062no—
1386C2×D4—1068no—
1387C2×D4—1061no—
1388C2×D4—1061no—
1389C2×D4—1062no—
1390C2×D4—1061no—
1391C2×D4—1061no—
1392C2×D4—1061no—
1393C2×D4—1061no—
1394C2×D4C23×D5311yescharacteristic
1395C2×D4C23×D5311yescharacteristic
1396C2×D4C23×D5311yescharacteristic
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—531no—
1404C22×C4—531no—
1405C22×C4—531no—
1406C22×C4—531no—
1407C22×C4—531no—
1408C22×C4—531no—
1409C22×C4—531no—
1410C22×C4—531no—
1411C22×C4—531no—
1412C22×C4—1061no—
1413C22×C4—1062no—
1414C22×C4—1062no—
1415C22×C4—1061no—
1416C22×C4—1061no—
1417C22×C4—1061no—
1418C22×C4—1068no—
1419C22×C4—1061no—
1420C22×C4—1061no—
1421C22×C4—1061no—
1422C22×C4—1061no—
1423C22×C4—1061no—
1424C22×C4—1061no—
1425C22×C4—1061no—
1426C22×C4—1061no—
1427C22×C4—1061no—
1428C22×C4—1061no—
1429C22×C4—1061no—
1430C22×C4C23×D5311yescharacteristic
1431Q16—1062no—
1432Q16—1062no—
1433Q16—1062no—
1434Q16—1062no—
1435SD16—22no—
1436SD16—22no—
1437SD16—1062no—
1438SD16—1062no—
1439SD16—1062no—
1440SD16—1062no—
1441SD16—1062no—
1442SD16—1062no—
1443D8—22no—
1444D8—22no—
1445D8—1062no—
1446D8—1062no—
1447C2×C8—531no—
1448C2×C8—531no—
1449C2×C8—531no—
1450C2×C8—531no—
1451C2×C8—1062no—
1452C2×C8—1062no—
1453C2×C8—1062no—
1454C2×C8—1062no—
1455C2×C8C23×D5311yescharacteristic
1456C2×C8C23×D5311yescharacteristic
1457C2×C8C23×D5311yescharacteristic
1458C2×C8C23×D5311yescharacteristic
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—531no—
1465C4⋊C4—531no—
1466C4⋊C4—531no—
1467C4⋊C4—531no—
1468C4⋊C4—531no—
1469C4⋊C4—531no—
1470C4⋊C4—531no—
1471C4⋊C4—531no—
1472C4⋊C4—531no—
1473C4⋊C4—531no—
1474C4⋊C4—1061no—
1475C4⋊C4—1061no—
1476C4⋊C4—1061no—
1477C4⋊C4—1061no—
1478C4⋊C4—1061no—
1479C4⋊C4—1061no—
1480C4⋊C4—1061no—
1481C4⋊C4—1061no—
1482C4⋊C4—1061no—
1483C4⋊C4—1061no—
1484C4⋊C4—1061no—
1485C4⋊C4—1061no—
1486C4⋊C4—1061no—
1487C4⋊C4—1061no—
1488C4⋊C4—1061no—
1489C4⋊C4—1061no—
1490C4⋊C4—1061no—
1491C4⋊C4—1061no—
1492C4⋊C4—1061no—
1493C4⋊C4—1061no—
1494C4⋊C4—1061no—
1495C4⋊C4D4×D5311yescharacteristic
1496C4⋊C4D4×D5311yescharacteristic
1497C4⋊C4C23×D5311yescharacteristic
1498C4⋊C4C23×D5311yescharacteristic
1499C4⋊C4C23×D5311yescharacteristic
1500C4⋊C4C23×D5311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—531no—
1508C22⋊C4—531no—
1509C22⋊C4—531no—
1510C22⋊C4—531no—
1511C22⋊C4—531no—
1512C22⋊C4—531no—
1513C22⋊C4—1061no—
1514C22⋊C4—1061no—
1515C22⋊C4—1061no—
1516C22⋊C4—1061no—
1517C22⋊C4—1061no—
1518C22⋊C4—1061no—
1519C22⋊C4—1061no—
1520C22⋊C4—1061no—
1521C22⋊C4—1061no—
1522C22⋊C4—1061no—
1523C22⋊C4—1061no—
1524C22⋊C4—1061no—
1525C22⋊C4—1061no—
1526C22⋊C4—1061no—
1527C22⋊C4—1061no—
1528C22⋊C4—1061no—
1529C22⋊C4—1061no—
1530C22⋊C4—1061no—
1531C22⋊C4—1061no—
1532C22⋊C4—1061no—
1533C22⋊C4—1061no—
1534C22⋊C4—1061no—
1535C22⋊C4—1061no—
1536C22⋊C4—1061no—
1537C22⋊C4D4×D5311yescharacteristic
1538C22⋊C4D4×D5311yescharacteristic
1539C42—21no—
1540C42—21no—
1541C42—531no—
1542C42—531no—
1543C42—531no—
1544C42—531no—
1545C42—531no—
1546C42—531no—
1547C42—1061no—
1548C42—1061no—
1549C42—1061no—
1550C42—1061no—
1551C42—1061no—
1552C42—1061no—
1553C42—1061no—
1554C42—1061no—
1555C42—1061no—
1556C42—1061no—
1557C42—1061no—
1558C42—1061no—
1559C42—1061no—
1560C42—1061no—
1561C42—1061no—
1562C42—1061no—
1563C42C23×D5311yescharacteristic
1564C42C23×D5311yescharacteristic
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—531no—
1569C23—531no—
1570C23—1062no—
1571C23—1064no—
1572C23—1061no—
1573C23—4241no—
1574C23—4241no—
1575C23—2121no—
1576C23—2121no—
1577C23C2×D4×D5311yescharacteristic
1578Q8—21no—
1579Q8—532no—
1580Q8—1064no—
1581Q8—1061no—
1582Q8—1061no—
1583Q8—1061no—
1584Q8—1061no—
1585Q8—1061no—
1586Q8—4241no—
1587Q8—4241no—
1588Q8#41×D5312yes—
1589D4—24no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—81no—
1599D4—532no—
1600D4—1064no—
1601D4—1064no—
1602D4—1064no—
1603D4—1064no—
1604D4—1061no—
1605D4—4241no—
1606D4—4241no—
1607D4—2122no—
1608D4—2122no—
1609D4#41×D5312yes—
1610C2×C4—24no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—531no—
1624C2×C4—532no—
1625C2×C4—532no—
1626C2×C4—531no—
1627C2×C4—531no—
1628C2×C4—531no—
1629C2×C4—531no—
1630C2×C4—531no—
1631C2×C4—1062no—
1632C2×C4—1064no—
1633C2×C4—1062no—
1634C2×C4—1064no—
1635C2×C4—1064no—
1636C2×C4—1062no—
1637C2×C4—1064no—
1638C2×C4—1061no—
1639C2×C4—1061no—
1640C2×C4—1061no—
1641C2×C4—1061no—
1642C2×C4—1061no—
1643C2×C4—1061no—
1644C2×C4—1061no—
1645C2×C4—1061no—
1646C2×C4—1061no—
1647C2×C4—4241no—
1648C2×C4—4241no—
1649C2×C4—4241no—
1650C2×C4—4241no—
1651C2×C4—4241no—
1652C2×C4—4241no—
1653C2×C4—4241no—
1654C2×C4—4241no—
1655C2×C4—4241no—
1656C2×C4—2121no—
1657C2×C4—2121no—
1658C2×C4—2121no—
1659C2×C4—2121no—
1660C2×C4—2122no—
1661C2×C4—2122no—
1662C2×C4C2×D4×D5311yescharacteristic
1663C2×C4C2×D4×D5311yescharacteristic
1664C2×C4C2×D4×D5311yescharacteristic
1665C2×C4C2×D4×D5311yescharacteristic
1666C2×C4C2×D4×D5311yescharacteristic
1667C2×C4C24×D5311yescharacteristic
1668C8—21no—
1669C8—21no—
1670C8—21no—
1671C8—21no—
1672C8—1061no—
1673C8—1061no—
1674C8—1061no—
1675C8—1061no—
1676C22—21no—
1677C22—21no—
1678C22—22no—
1679C22—21no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—532no—
1689C22—1061no—
1690C22—1061no—
1691C22—1061no—
1692C22—1061no—
1693C22—1062no—
1694C22—1061no—
1695C22—4242no—
1696C22—4244no—
1697C22—2121no—
1698C22—2121no—
1699C22C22×D4×D5311yescharacteristic
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—22no—
1704C4—21no—
1705C4—21no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—532no—
1711C4—1061no—
1712C4—1061no—
1713C4—1061no—
1714C4—1062no—
1715C4—1061no—
1716C4—1061no—
1717C4—2121no—
1718C4—2121no—
1719C4—2121no—
1720C4—2121no—
1721C4—2121no—
1722C4—2121no—
1723C4C2×#41×D5311yescharacteristic
1724C4C2×#41×D5311yescharacteristic
1725C2—41no—
1726C2—42no—
1727C2—81no—
1728C2—81no—
1729C2—1062no—
1730C2—2121no—
1731C2—2122no—
1732C2#525×D5311yescharacteristic
1733C2#2028948311yescharacteristic
1734C2#2028948711yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3119C2
socleC22×C53C23×D4
hypercenter#3119D53
hypocenterC53#60557
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3119

Complements

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

NH ≅ G/Ntype
1. #20288099C2semidirect
2. #20287915C2semidirect
3. #20285017C2semidirect
4. #20285004C2semidirect
5. #20284995C2semidirect
6. #20284993C2semidirect
7. #20284972C2semidirect
8. #20284970C2semidirect
9. #20284969C2semidirect
10. #20284956C2semidirect
11. #20284942C2semidirect
12. #20284940C2semidirect
13. #20284931C2semidirect
14. #20284929C2semidirect
15. #20284908C2semidirect
16. #20284897C2semidirect
17. #20284895C2semidirect
18. #20284625C2semidirect
19. #20284623C2semidirect
20. #20284502C2semidirect
21. #20284500C2semidirect
22. #20284165C2semidirect
23. #20284163C2semidirect
24. #20283930C2semidirect
25. #20283930C2semidirect
26. #20283512C2semidirect
27. #20283510C2semidirect
28. C4×#13133238C2semidirect
29. C4×#13133236C2semidirect
30. #433×D53C2semidirect
31. C53×#3119C2semidirect
37. #16811240C22semidirect
38. #16811240C22semidirect
42. #16811235C22semidirect
48. #16811179C22semidirect
49. #16811171C22semidirect
73. C4×#11719947C22semidirect
74. C4×#11719947C22semidirect
83. #16810959C22semidirect
84. #16810958C22semidirect
85. #16810954C22semidirect
86. #16810953C22semidirect
91. #16810939C22semidirect
92. #16810934C22semidirect
93. #16810931C22semidirect
94. #16810930C22semidirect
95. #16810927C22semidirect
96. #16810924C22semidirect
97. #16810923C22semidirect
98. #16810920C22semidirect
99. #16810917C22semidirect
100. #16810916C22semidirect
101. #16810912C22semidirect
102. #16810911C22semidirect
103. #16810907C22semidirect
104. #16810906C22semidirect
105. #16810902C22semidirect
106. #16810901C22semidirect
107. #16810844C22semidirect
108. #16810844C22semidirect
109. #16810843C22semidirect
110. #16810843C22semidirect
111. #16810837C22semidirect
112. #16810837C22semidirect
113. #16810836C22semidirect
114. #16810836C22semidirect
115. #16810834C22semidirect
116. #16810833C22semidirect
117. #16810829C22semidirect
118. #16810828C22semidirect
119. #16810820C22semidirect
120. #16810815C22semidirect
135. #16810735C22semidirect
136. #16810733C22semidirect
137. #16810732C22semidirect
138. #16810731C22semidirect
139. #16810729C22semidirect
140. #16810728C22semidirect
141. #16810727C22semidirect
142. #16810725C22semidirect
143. #16810724C22semidirect
144. #16810723C22semidirect
145. #16810723C22semidirect
146. #16810722C22semidirect
147. #16810720C22semidirect
148. #16810720C22semidirect
149. C4×Dic212C22semidirect
150. #16810717C22semidirect
151. C4×#11719925C22semidirect
152. #16810715C22semidirect
153. #16810714C22semidirect
154. #16810714C22semidirect
155. C4×#11719913C22semidirect
156. SD16×Dic53C22semidirect
157. #16810710C22semidirect
158. C4×#11719923C22semidirect
159. C4×#11719923C22semidirect
160. D8×Dic53C22semidirect
161. C4×#11719922C22semidirect
162. #16810703C22semidirect
164. #16810684C22semidirect
168. #16810681C22semidirect
169. #16810681C22semidirect
170. #16810660C22semidirect
171. #16810660C22semidirect
172. #16810658C22semidirect
173. #16810658C22semidirect
174. C4⋊C8×D53C22semidirect
175. C4⋊C8×D53C22semidirect
180. #16810616C22semidirect
181. #16810616C22semidirect
182. #16810616C22semidirect
183. #16810616C22semidirect
186. #97×D53C22semidirect
187. C4×C8×D53C22semidirect
188. C53×#540C22semidirect
190. C53×#481C22semidirect
191. C53×#480C22semidirect
192. C53×#479C22semidirect
193. C53×#478C22semidirect
194. C53×#460C22semidirect
195. C53×#459C22semidirect
198. C53×#442C22semidirect
199. C53×#440C22semidirect
200. C4×SD16×C53C22semidirect
201. C4×D8×C53C22semidirect
202. C53×#433C22semidirect
873. #3119D53semidirect
911. #540C2×D53semidirect
961. #481C2×D53semidirect
963. #480C2×D53semidirect
967. #479C2×D53semidirect
971. #478C2×D53semidirect
993. #460C2×D53semidirect
995. #459C2×D53semidirect
1015. #442C2×D53semidirect
1027. #440C2×D53semidirect
1039. C4×SD16C2×D53semidirect
1043. C4×D8C2×D53semidirect
1051. #433C2×D53semidirect
1070. C53#60557semidirect

Maximal subgroups

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

subgroupindex
#202880992
#202879152
#202850172
#202850042
#202849952
#202849932
#202849722
#202849702
#202849692
#202849562
#202849422
#202849402
#202849312
#202849292
#202849082
#202848972
#202848952
#202846252
#202846232
#202845022
#202845002
#202841652
#202841632
#202839302
#202835122
#202835102
C4×#131332382
C4×#131332362
#433×D532
C53×#31192
#6055753