Finite Group Databasebeta

← #28277996

Subgroups — #28277996

Order 13568.

1960 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289040C211yesmaximal, characteristic, complemented
2#20288663C211yesmaximal, characteristic, complemented
3#20287754C211yesmaximal, characteristic, complemented
4#20287722C211yesmaximal, characteristic, complemented
5#20287508C211yesmaximal, characteristic, complemented
6#20287345C211yesmaximal, characteristic, complemented
7#20286957C211yesmaximal, characteristic, complemented
8#20286952C211yesmaximal, characteristic, complemented
9#20286939C211yesmaximal, characteristic, complemented
10#20286873C211yesmaximal, characteristic, complemented
11#20286864C211yesmaximal, characteristic, complemented
12#20286649C211yesmaximal, characteristic, complemented
13D8×C22⋊D53C211yesmaximal, characteristic, complemented
14#20286333C211yesmaximal, characteristic, complemented
15#20286322C211yesmaximal, characteristic, complemented
16#20286320C211yesmaximal, characteristic, complemented
17#20286198C211yesmaximal, characteristic, complemented
18#20286129C211yesmaximal, characteristic, complemented
19#20286123C211yesmaximal, characteristic, complemented
20#20286070C211yesmaximal, characteristic, complemented
21#20285813C211yesmaximal, characteristic, complemented
22#20285804C211yesmaximal, characteristic, complemented
23#20285631C211yesmaximal, characteristic, complemented
24#20284957C211yesmaximal, characteristic, complemented
25#20284952C211yesmaximal, characteristic, complemented
26#20284726C211yesmaximal, characteristic, complemented
27#20284215C211yesmaximal, characteristic, complemented
28#20284213C211yesmaximal, characteristic, complemented
29#20284193C211yesmaximal, characteristic, complemented
30#20283857C211yesmaximal, characteristic, complemented
31C53×#3264C211yesmaximal, characteristic, complemented
32C2×#13133243C2211yescharacteristic, complemented
33C2×#13133242C2211yescharacteristic, complemented
34C2×#13133241C2211yescharacteristic, complemented
35C2×D8×D53C2211yescharacteristic, complemented
36#16811362—21no—
37#16811361—21no—
38#16811356C2211yescharacteristic, complemented
39#16811355C2211yescharacteristic, complemented
40#16811344C2211yescharacteristic, complemented
41#16811338C2211yescharacteristic, complemented
42#16811337C2211yescharacteristic, complemented
43#16811299—21no—
44#16811296—21no—
45#16811293C2211yescharacteristic, complemented
46#16811291C2211yescharacteristic
47D4×Dic106C2211yescharacteristic, complemented
48#16811279—21no—
49#16811269C2211yescharacteristic, complemented
50#16811267C2211yescharacteristic, complemented
51#16811261C2211yescharacteristic, complemented
52#16811260—21no—
53#16811260—21no—
54#16811257C2211yescharacteristic, complemented
55D4×C22⋊D53—21no—
56D4×C22⋊D53C2211yescharacteristic
57D4×C22⋊D53C2211yescharacteristic, complemented
58#16811246C2211yescharacteristic, complemented
59#16811242C2211yescharacteristic, complemented
60#16811226C2211yescharacteristic, complemented
61#16811224C2211yescharacteristic, complemented
62#16811223—21no—
63#16811210—21no—
64#16811208—21no—
65#16811190C2211yescharacteristic, complemented
66#16811188—21no—
67#16811186C2211yescharacteristic, complemented
68#16811183—21no—
69#16811182—21no—
70#16811168C2211yescharacteristic, complemented
71C2×#13133213C2211yescharacteristic, complemented
72#16811154C2211yescharacteristic, complemented
73#16811153C2211yescharacteristic
74#16811150—21no—
75C2×#13133203—21no—
76#16811098C2211yescharacteristic, complemented
77#16811095C2211yescharacteristic, complemented
78#41×Dic53C2211yescharacteristic, complemented
79#16811009C2211yescharacteristic, complemented
80#16811005C2211yescharacteristic, complemented
81#16811004C2211yescharacteristic, complemented
82#16810998C2211yescharacteristic
83#16810998C2211yescharacteristic, complemented
84#16810983C2211yescharacteristic, complemented
85#16810981C2211yescharacteristic, complemented
86#16810969C2211yescharacteristic, complemented
87#16810968C2211yescharacteristic, complemented
88#16810968C2211yescharacteristic, complemented
89#16810968C2211yescharacteristic, complemented
90#16810965C2211yescharacteristic, complemented
91#16810949C2211yescharacteristic, complemented
92#16810948C2211yescharacteristic, complemented
93#16810946C2211yescharacteristic, complemented
94#16810944C2211yescharacteristic, complemented
95#16810944C2211yescharacteristic, complemented
96#16810932C2211yescharacteristic, complemented
97#16810925C2211yescharacteristic, complemented
98#16810922C2211yescharacteristic, complemented
99#16810921C2211yescharacteristic, complemented
100#16810913C2211yescharacteristic, complemented
101#16810912C2211yescharacteristic, complemented
102#16810907C2211yescharacteristic, complemented
103#16810904C2211yescharacteristic, complemented
104#16810901C2211yescharacteristic, complemented
105#16810901C2211yescharacteristic, complemented
106#16810875C2211yescharacteristic, complemented
107#16810874C2211yescharacteristic, complemented
108#16810874C2211yescharacteristic, complemented
109#16810871C2211yescharacteristic, complemented
110#16810869C2211yescharacteristic, complemented
111#16810867C2211yescharacteristic, complemented
112#16810866C2211yescharacteristic, complemented
113#16810859C2211yescharacteristic, complemented
114#16810856C2211yescharacteristic, complemented
115#16810855C2211yescharacteristic, complemented
116#16810843C2211yescharacteristic, complemented
117#16810841C2211yescharacteristic, complemented
118#16810840C2211yescharacteristic, complemented
119#16810839C2211yescharacteristic, complemented
120#16810838C2211yescharacteristic, complemented
121#16810837C2211yescharacteristic, complemented
122#16810836C2211yescharacteristic, complemented
123#16810836C2211yescharacteristic, complemented
124#16810836C2211yescharacteristic, complemented
125#16810836C2211yescharacteristic, complemented
126#16810835C2211yescharacteristic, complemented
127#16810822C2211yescharacteristic, complemented
128#16810821C2211yescharacteristic, complemented
129#16810821C2211yescharacteristic, complemented
130#16810821C2211yescharacteristic, complemented
131#16810821C2211yescharacteristic, complemented
132#16810817C2211yescharacteristic, complemented
133#16810817C2211yescharacteristic, complemented
134#16810816C2211yescharacteristic
135#16810816C2211yescharacteristic, complemented
136#16810816C2211yescharacteristic, complemented
137#16810816C2211yescharacteristic, complemented
138#16810816C2211yescharacteristic, complemented
139#16810816C2211yescharacteristic, complemented
140#16810816C2211yescharacteristic, complemented
141#16810816C2211yescharacteristic, complemented
142#16810816C2211yescharacteristic, complemented
143#16810815C2211yescharacteristic, complemented
144#16810785C2211yescharacteristic, complemented
145#16810783C2211yescharacteristic, complemented
146#16810782C2211yescharacteristic, complemented
147#16810772C2211yescharacteristic, complemented
148#16810770C2211yescharacteristic, complemented
149#16810765C2211yescharacteristic, complemented
150#16810759C2211yescharacteristic, complemented
151#16810758C2211yescharacteristic, complemented
152#16810757C2211yescharacteristic, complemented
153#16810757C2211yescharacteristic, complemented
154#16810757C2211yescharacteristic, complemented
155#16810756C2211yescharacteristic, complemented
156#16810755C2211yescharacteristic, complemented
157#16810755C2211yescharacteristic, complemented
158#16810751C2211yescharacteristic, complemented
159#16810747C2211yescharacteristic, complemented
160#16810736C2211yescharacteristic, complemented
161#16810735C2211yescharacteristic, complemented
162#16810732C2211yescharacteristic, complemented
163#16810715C2211yescharacteristic, complemented
164#16810714C2211yescharacteristic, complemented
165SD16×Dic53C2211yescharacteristic, complemented
166D8×Dic53C2211yescharacteristic, complemented
167D8×Dic53C2211yescharacteristic, complemented
168C4×#11719922C2211yescharacteristic, complemented
169C4×#11719922C2211yescharacteristic, complemented
170#16810703C2211yescharacteristic, complemented
171#16810701C2211yescharacteristic, complemented
172#16810699C2211yescharacteristic, complemented
173#16810698C2211yescharacteristic, complemented
174#16810697C2211yescharacteristic, complemented
175C8×C22⋊D53C2211yescharacteristic, complemented
176#16810685C2211yescharacteristic, complemented
177#16810681C2211yescharacteristic, complemented
178#16810673C2211yescharacteristic, complemented
179#16810649C2211yescharacteristic, complemented
180#16810648C2211yescharacteristic, complemented
181#16810646C2211yescharacteristic, complemented
182#16810629C2211yescharacteristic, complemented
183#16810628C2211yescharacteristic, complemented
184#16810628C2211yescharacteristic, complemented
185#16810626C2211yescharacteristic, complemented
186#16810620C2211yescharacteristic, complemented
187#16810616C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C53C2211yescharacteristic, complemented
189C22×D8×C53C2211yescharacteristic, complemented
190C53×#546C2211yescharacteristic, complemented
191D42×C53C2211yescharacteristic, complemented
192C53×#496C2211yescharacteristic, complemented
193C53×#469C2211yescharacteristic, complemented
194C53×#465C2211yescharacteristic, complemented
195C53×#463C2211yescharacteristic, complemented
196C53×#459C2211yescharacteristic, complemented
197C53×#450C2211yescharacteristic, complemented
198C53×#449C2211yescharacteristic
199C53×#447C2211yescharacteristic, complemented
200C53×#447C2211yescharacteristic, complemented
201C53×#442C2211yescharacteristic, complemented
202C53×#435C2211yescharacteristic, complemented
203C2×#11719945C2311yescharacteristic
204C2×#11719947—21no—
205C2×#11719947—21no—
206C2×#11719947C2311yescharacteristic
207C22×Dic106—21no—
208C22×D212C2311yescharacteristic
209C22×C22⋊D53—21no—
210C22×C22⋊D53—21no—
211C22×C22⋊D53—21no—
212C22×C22⋊D53—21no—
213C2×D4×D53—21no—
214C2×D4×D53C2311yescharacteristic
215C2×D4×D53C2311yescharacteristic
216#13133243—42no—
217#13133242—42no—
218#13133241—42no—
219C2×#11719925C2311yescharacteristic
220C2×#11719913C2311yescharacteristic
221C2×#11719923C2311yescharacteristic
222C2×#11719923C2311yescharacteristic
223C2×#11719924C2311yescharacteristic
224C2×#11719924C2311yescharacteristic
225C2×D424C2311yescharacteristic
226C2×D424C2311yescharacteristic
227C2×#11719922C2311yescharacteristic
228C2×#11719922C2311yescharacteristic
229C2×#11719922C2311yescharacteristic
230C2×#11719922C2311yescharacteristic
231C2×#11719922C2311yescharacteristic
232C2×#11719922C2311yescharacteristic
233C2×#11719922C2311yescharacteristic
234D8×D53—42no—
235C2×#11719917C2311yescharacteristic
236C2×#11719917C2311yescharacteristic
237C2×#11719912C2311yescharacteristic
238C2×C8×D53C2311yescharacteristic
239#13133217C2311yescharacteristic
240#13133216C2311yescharacteristic
241#13133216C2311yescharacteristic
242#13133213—21no—
243#13133213—21no—
244#13133213—21no—
245#13133213C2311yescharacteristic
246#13133213C2311yescharacteristic
247#13133213C2311yescharacteristic
248#13133213C2311yescharacteristic
249#13133213C2311yescharacteristic
250#13133213C2311yescharacteristic
251#13133212—21no—
252#13133212—21no—
253#13133212D411yescharacteristic
254#13133210—21no—
255#13133210—21no—
256#13133210—21no—
257#13133210D411yescharacteristic
258#13133208C2311yescharacteristic
259#13133207D411yescharacteristic
260#13133206C2311yescharacteristic
261#13133205C2311yescharacteristic
262#13133204—21no—
263#13133204C2311yescharacteristic
264#13133204C2311yescharacteristic
265#13133203—21no—
266#13133203—21no—
267#13133203—21no—
268#13133203—21no—
269#13133203—21no—
270#13133203—21no—
271#13133203—21no—
272#13133203—21no—
273#13133203—21no—
274#13133203D411yescharacteristic
275#13133202—21no—
276#13133201—21no—
277#13133201—21no—
278#13133201—21no—
279#13133201D411yescharacteristic
280#13133200—21no—
281#13133200—21no—
282#13133200—21no—
283#13133199—21no—
284#13133199—21no—
285#13133199—21no—
286#13133199—21no—
287#13133199—21no—
288#13133198—21no—
289#13133198—21no—
290#13133198D411yescharacteristic
291#13133197—21no—
292#13133196—21no—
293#13133196C2311yescharacteristic
294#13133194—21no—
295#13133194—21no—
296#13133194—21no—
297#13133194D411yescharacteristic
298#13133193C2311yescharacteristic
299#13133192C2311yescharacteristic
300#13133191—21no—
301#13133191C2311yescharacteristic
302#13133191C2311yescharacteristic
303#13133191C2311yescharacteristic
304#13133190—21no—
305#13133190—21no—
306#13133190—21no—
307#13133190—21no—
308#13133189—21no—
309#13133189—21no—
310#13133189—21no—
311#13133189—21no—
312#13133189—21no—
313#13133189—21no—
314#13133189—21no—
315#13133189—21no—
316#13133189—21no—
317#13133189—21no—
318#13133189—21no—
319#13133189—21no—
320#13133189D411yescharacteristic
321#13133188—21no—
322#13133188—21no—
323#13133188—21no—
324#13133188—21no—
325#13133188—21no—
326#13133188C2311yescharacteristic
327#13133188C2311yescharacteristic
328#13133187—21no—
329#13133186—21no—
330#13133186—21no—
331#13133186—21no—
332#13133186—21no—
333#13133186—21no—
334#13133185—21no—
335#13133185—21no—
336#13133185—21no—
337#13133185—21no—
338#13133185—21no—
339#13133185—21no—
340#13133185—21no—
341Q8×Dic53C2311yescharacteristic
342Q8×Dic53C2311yescharacteristic
343C4×Dic106C2311yescharacteristic
344#13133182—21no—
345#13133182C2311yescharacteristic
346C4×D212C2311yescharacteristic
347C4×D212C2311yescharacteristic
348D4×Dic53—21no—
349D4×Dic53—21no—
350D4×Dic53—21no—
351D4×Dic53—21no—
352D4×Dic53—21no—
353D4×Dic53C2311yescharacteristic
354D4×Dic53C2311yescharacteristic
355D4×Dic53C2311yescharacteristic
356D4×Dic53C2311yescharacteristic
357D4×Dic53C2311yescharacteristic
358D4×Dic53C2311yescharacteristic
359D4×Dic53C2311yescharacteristic
360#13133179C2311yescharacteristic
361#13133179C2311yescharacteristic
362C4×C22⋊D53—21no—
363C4×C22⋊D53—21no—
364C4×C22⋊D53C2311yescharacteristic
365C4×C22⋊D53C2311yescharacteristic
366#13133177—21no—
367#13133177—21no—
368#13133177—21no—
369#13133177—21no—
370#13133176—21no—
371#13133176C2311yescharacteristic
372#13133176C2311yescharacteristic
373#13133176C2311yescharacteristic
374#13133175—21no—
375#13133175C2311yescharacteristic
376#13133174C2311yescharacteristic
377#13133173—21no—
378#13133173—21no—
379C2×C22⋊Dic53—21no—
380C2×C22⋊Dic53—21no—
381C2×C22⋊Dic53—21no—
382C2×#11719921—21no—
383C2×#11719921—21no—
384C22⋊C4×D53—21no—
385C22⋊C4×D53—21no—
386C2×C4×Dic53—21no—
387C2×C4×Dic53C2311yescharacteristic
388#13133151C2311yescharacteristic
389#13133151C2311yescharacteristic
390#13133150C2311yescharacteristic
391#13133150C2311yescharacteristic
392#13133149C2311yescharacteristic
393#13133148C2311yescharacteristic
394#13133148C2311yescharacteristic
395C4⋊#88322C2311yescharacteristic
396#13133146C2311yescharacteristic
397#13133146C2311yescharacteristic
398#13133146C2311yescharacteristic
399#13133146C2311yescharacteristic
400#13133146C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133142C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133141C2311yescharacteristic
408#13133140C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133139C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133138C2311yescharacteristic
420#13133138C2311yescharacteristic
421#13133138C2311yescharacteristic
422#13133138C2311yescharacteristic
423#13133138C2311yescharacteristic
424#13133138C2311yescharacteristic
425#13133138C2311yescharacteristic
426#13133138C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429#13133137C2311yescharacteristic
430C22⋊#88322C2311yescharacteristic
431C22⋊#88322C2311yescharacteristic
432#13133129C2311yescharacteristic
433#13133129C2311yescharacteristic
434#13133127C2311yescharacteristic
435C4×#88322C2311yescharacteristic
436C8×Dic53C2311yescharacteristic
437C8×Dic53C2311yescharacteristic
438C8×Dic53C2311yescharacteristic
439C2×#41×C53C2311yescharacteristic
440C22×D4×C53—21no—
441C22×D4×C53C2311yescharacteristic
442C22×D4×C53C2311yescharacteristic
443C22×D4×C53C2311yescharacteristic
444AGL(1,ℤ/8)×C53—42no—
445C2×SD16×C53C2311yescharacteristic
446C2×SD16×C53C2311yescharacteristic
447C2×SD16×C53C2311yescharacteristic
448C2×D8×C53—42no—
449C2×D8×C53C2311yescharacteristic
450C2×D8×C53C2311yescharacteristic
451C2×D8×C53C2311yescharacteristic
452C2×D8×C53C2311yescharacteristic
453C2×D8×C53C2311yescharacteristic
454C2×D8×C53C2311yescharacteristic
455C2×M16×C53C2311yescharacteristic
456C22×C8×C53C2311yescharacteristic
457#127×C53C2311yescharacteristic
458#124×C53C2311yescharacteristic
459#123×C53—21no—
460C22⋊Q8×C53C2311yescharacteristic
461#121×C53—21no—
462#121×C53—21no—
463#121×C53C2311yescharacteristic
464#121×C53C2311yescharacteristic
465#121×C53C2311yescharacteristic
466#120×C53—21no—
467#120×C53—21no—
468#120×C53—21no—
469C4×D4×C53C2311yescharacteristic
470C4×D4×C53C2311yescharacteristic
471C4×D4×C53C2311yescharacteristic
472C2×C22⋊C4×C53—21no—
473#106×C53C2311yescharacteristic
474C4⋊C8×C53C2311yescharacteristic
475#103×C53C2311yescharacteristic
476#102×C53C2311yescharacteristic
477#102×C53C2311yescharacteristic
478#102×C53C2311yescharacteristic
479#102×C53C2311yescharacteristic
480#102×C53C2311yescharacteristic
481C22⋊C8×C53C2311yescharacteristic
482C22⋊C8×C53C2311yescharacteristic
483#97×C53C2311yescharacteristic
484C24×C53—21no—
485C24×C53—21no—
486C24×C53—21no—
487C23×D53—21no—
488C23×D53—21no—
489C23×D53—21no—
490#41×C53—22no—
491#41×C53—41no—
492C2×Q8×C53C2411yescharacteristic
493C2×D4×C53—22no—
494C2×D4×C53—21no—
495C2×D4×C53—21no—
496C2×D4×C53—21no—
497C2×D4×C53—21no—
498C2×D4×C53—21no—
499C2×D4×C53—21no—
500C2×D4×C53—21no—
501C2×D4×C53—21no—
502C2×D4×C53—21no—
503C2×D4×C53—41no—
504C2×D4×C53—41no—
505C2×D4×C53—41no—
506C2×D4×C53—41no—
507C2×D4×C53—41no—
508C2×D4×C53—82no—
509C2×D4×C53C2×D411yescharacteristic
510C2×D4×C53C2411yescharacteristic
511C2×D4×C53C2411yescharacteristic
512C2×D4×C53C2411yescharacteristic
513C2×D4×C53C2411yescharacteristic
514C2×D4×C53C2411yescharacteristic
515C22×C4×C53—21no—
516C22×C4×C53—21no—
517C22×C4×C53—21no—
518C22×C4×C53C2411yescharacteristic
519C22×C4×C53C2411yescharacteristic
520C2×C22⋊D53—21no—
521C2×C22⋊D53—21no—
522C2×C22⋊D53—21no—
523C2×C22⋊D53—21no—
524C2×C22⋊D53—21no—
525C2×C22⋊D53—21no—
526C2×C22⋊D53—21no—
527C2×C22⋊D53—21no—
528C2×C22⋊D53—21no—
529C2×C22⋊D53—21no—
530C2×C22⋊D53—21no—
531C2×C22⋊D53—21no—
532C2×C22⋊D53—21no—
533C2×C22⋊D53—21no—
534C2×C22⋊D53—21no—
535C2×C22⋊D53—21no—
536C2×C22⋊D53—21no—
537C2×C22⋊D53—21no—
538C2×C22⋊D53—21no—
539C2×C22⋊D53—21no—
540C2×C22⋊D53—21no—
541C2×C22⋊D53—82no—
542C2×C22⋊D53—82no—
543C2×C22⋊D53—82no—
544C2×C22⋊D53—82no—
545C2×C22⋊D53C2×D411yescharacteristic
546C2×C22⋊D53C2×D411yescharacteristic
547C22×Dic53—21no—
548C22×Dic53—21no—
549C22×Dic53—21no—
550C22×Dic53—21no—
551C22×Dic53—21no—
552C22×Dic53—21no—
553C22×Dic53—21no—
554C22×Dic53—21no—
555C22×Dic53C2×D411yescharacteristic
556C22×Dic53C2×D411yescharacteristic
557#11719947—41no—
558#11719947—41no—
559#11719947—82no—
560#11719947—82no—
561D4×D53—22no—
562D4×D53—41no—
563D4×D53—41no—
564D4×D53—41no—
565D4×D53—82no—
566#11719945—41no—
567#11719945—41no—
568C2×D212—21no—
569C2×D212—21no—
570C2×D212—41no—
571C2×D212—41no—
572C2×D212C2411yescharacteristic
573C2×D212C2411yescharacteristic
574C2×D212C2411yescharacteristic
575C2×C4×D53—21no—
576C2×C4×D53—21no—
577C2×C4×D53—21no—
578C2×C4×D53—21no—
579C2×C4×D53—21no—
580C2×C4×D53C2411yescharacteristic
581C2×Dic106—21no—
582C2×Dic106—21no—
583C2×Dic106—21no—
584C2×Dic106—82no—
585C2×Dic106C2×D411yescharacteristic
586C2×Dic106C2411yescharacteristic
587SD16×C53—41no—
588SD16×C53—41no—
589SD16×C53—41no—
590D8×C53—22no—
591D8×C53—22no—
592D8×C53—22no—
593D8×C53—41no—
594D8×C53—41no—
595D8×C53—41no—
596M16×C53—41no—
597C2×C8×C53—41no—
598C2×C8×C53C2411yescharacteristic
599C2×C8×C53C2411yescharacteristic
600C2×C8×C53C2411yescharacteristic
601C2×C8×C53C2411yescharacteristic
602C4⋊C4×C53—21no—
603C4⋊C4×C53C2×D411yescharacteristic
604C4⋊C4×C53C2411yescharacteristic
605C4⋊C4×C53C2411yescharacteristic
606C22⋊C4×C53—21no—
607C22⋊C4×C53—21no—
608C22⋊C4×C53—21no—
609C22⋊C4×C53—21no—
610C22⋊C4×C53—21no—
611C22⋊C4×C53—21no—
612C22⋊C4×C53—21no—
613C22⋊C4×C53—21no—
614C22⋊C4×C53C2×D411yescharacteristic
615C22⋊C4×C53C2×D411yescharacteristic
616C42×C53C2411yescharacteristic
617C22⋊Dic53—21no—
618C22⋊Dic53—21no—
619C22⋊Dic53—21no—
620C22⋊Dic53—21no—
621C22⋊Dic53—21no—
622C22⋊Dic53—21no—
623C22⋊Dic53—21no—
624C22⋊Dic53—21no—
625C22⋊Dic53—21no—
626C22⋊Dic53—21no—
627C22⋊Dic53—21no—
628C22⋊Dic53—21no—
629C22⋊Dic53—21no—
630C22⋊Dic53—21no—
631C22⋊Dic53—21no—
632C22⋊Dic53—21no—
633C22⋊Dic53C2×D411yescharacteristic
634C22⋊Dic53C2×D411yescharacteristic
635C22⋊Dic53C2×D411yescharacteristic
636C22⋊Dic53C2×D411yescharacteristic
637#11719925—41no—
638#11719924—41no—
639#11719924—41no—
640#11719923—22no—
641#11719923—41no—
642#11719922—22no—
643#11719922—22no—
644#11719922—41no—
645#11719922—41no—
646#11719922—41no—
647#11719922—41no—
648#11719922—41no—
649#11719921—21no—
650#11719921—21no—
651#11719921—21no—
652#11719921—21no—
653#11719921—21no—
654#11719921—21no—
655#11719921—21no—
656#11719921—21no—
657#11719921—21no—
658#11719921—21no—
659#11719921—21no—
660#11719921—21no—
661#11719921—21no—
662#11719921—21no—
663#11719921C2×D411yescharacteristic
664#11719921C2×D411yescharacteristic
665#11719921C2×D411yescharacteristic
666#11719921C2×D411yescharacteristic
667C4⋊Dic53—21no—
668C4⋊Dic53—21no—
669C4⋊Dic53—21no—
670C4⋊Dic53—21no—
671C4⋊Dic53C2×D411yescharacteristic
672C4⋊Dic53C2×D411yescharacteristic
673C4⋊Dic53C2×D411yescharacteristic
674C4⋊Dic53C2411yescharacteristic
675C4⋊Dic53C2411yescharacteristic
676C4⋊Dic53C2411yescharacteristic
677C4⋊Dic53C2411yescharacteristic
678#11719919—21no—
679#11719919—21no—
680#11719919—21no—
681#11719919—21no—
682#11719919—21no—
683#11719919—21no—
684#11719919C2×D411yescharacteristic
685#11719919C2×D411yescharacteristic
686#11719919C2×D411yescharacteristic
687#11719919C2×D411yescharacteristic
688#11719919C2×D411yescharacteristic
689#11719919C2×D411yescharacteristic
690C4×Dic53—21no—
691C4×Dic53—21no—
692C4×Dic53—21no—
693C4×Dic53—21no—
694C4×Dic53—21no—
695C4×Dic53—21no—
696C4×Dic53C2×D411yescharacteristic
697C4×Dic53C2×D411yescharacteristic
698C4×Dic53C2411yescharacteristic
699C4×Dic53C2411yescharacteristic
700C4×Dic53C2411yescharacteristic
701#11719917—41no—
702#11719917—41no—
703C2×#88322C2411yescharacteristic
704C2×#88322C2411yescharacteristic
705C2×#88322C2411yescharacteristic
706C2×#88322C2411yescharacteristic
707D424—41no—
708D424—41no—
709#11719913—41no—
710#11719912—41no—
711C8×D53—41no—
712C23×C53—21no—
713C23×C53—21no—
714C23×C53—21no—
715C23×C53—21no—
716C23×C53—21no—
717C23×C53—42no—
718C23×C53—42no—
719C23×C53—81no—
720C23×C53—81no—
721C23×C53—81no—
722C23×C53—81no—
723C23×C53—81no—
724C23×C53—81no—
725C23×C53—81no—
726C23×C53C22×D411yescharacteristic
727C23×C53C22×D411yescharacteristic
728C22×D53—21no—
729C22×D53—21no—
730C22×D53—21no—
731C22×D53—42no—
732C22×D53—42no—
733C22×D53—81no—
734C22×D53—81no—
735C22×D53—81no—
736C22×D53—81no—
737C22×D53—81no—
738C22×D53—81no—
739C22×D53—81no—
740C22×D53C22×D411yescharacteristic
741Q8×C53—21no—
742Q8×C53—21no—
743D4×C53—21no—
744D4×C53—21no—
745D4×C53—21no—
746D4×C53—21no—
747D4×C53—21no—
748D4×C53—21no—
749D4×C53—21no—
750D4×C53—21no—
751D4×C53—21no—
752D4×C53—41no—
753D4×C53—42no—
754D4×C53—42no—
755D4×C53—42no—
756D4×C53—81no—
757D4×C53—81no—
758D4×C53—81no—
759D4×C53—81no—
760D4×C53—81no—
761D4×C53—81no—
762D4×C53H(5,𝔽2)12yes—
763C2×C4×C53—21no—
764C2×C4×C53—21no—
765C2×C4×C53—21no—
766C2×C4×C53—21no—
767C2×C4×C53—21no—
768C2×C4×C53—21no—
769C2×C4×C53—21no—
770C2×C4×C53—42no—
771C2×C4×C53—81no—
772C2×C4×C53—81no—
773C2×C4×C53C22×D411yescharacteristic
774C2×C4×C53C22×D411yescharacteristic
775C2×C4×C53C22×D411yescharacteristic
776C2×C4×C53C22×D411yescharacteristic
777C2×C4×C53C2511yescharacteristic
778C22⋊D53—22no—
779C22⋊D53—41no—
780C22⋊D53—42no—
781C22⋊D53—42no—
782C22⋊D53—42no—
783C22⋊D53—42no—
784C22⋊D53—81no—
785C22⋊D53—81no—
786C22⋊D53—81no—
787C22⋊D53—81no—
788C22⋊D53—81no—
789C22⋊D53—81no—
790C22⋊D53—81no—
791C22⋊D53—81no—
792C22⋊D53—81no—
793C22⋊D53—81no—
794C22⋊D53—81no—
795C22⋊D53—81no—
796C22⋊D53—81no—
797C22⋊D53—81no—
798C22⋊D53—81no—
799C22⋊D53—81no—
800C22⋊D53—81no—
801C2×Dic53—22no—
802C2×Dic53—21no—
803C2×Dic53—21no—
804C2×Dic53—21no—
805C2×Dic53—21no—
806C2×Dic53—21no—
807C2×Dic53—41no—
808C2×Dic53—42no—
809C2×Dic53—42no—
810C2×Dic53—81no—
811C2×Dic53—81no—
812C2×Dic53—81no—
813C2×Dic53—81no—
814C2×Dic53—81no—
815C2×Dic53—81no—
816C2×Dic53C22×D411yescharacteristic
817C2×Dic53C22×D411yescharacteristic
818C2×Dic53C22×D411yescharacteristic
819C2×Dic53C22×D411yescharacteristic
820C2×Dic53C22×D411yescharacteristic
821C2×Dic53C22×D411yescharacteristic
822C2×Dic53C22×D411yescharacteristic
823D212—21no—
824D212—21no—
825D212—21no—
826D212—21no—
827D212—21no—
828D212—21no—
829D212—81no—
830D212—81no—
831C4×D53—21no—
832C4×D53—21no—
833C4×D53—81no—
834C4×D53—81no—
835C4×D53—81no—
836C4×D53—81no—
837C4×D53—81no—
838Dic106—22no—
839Dic106—21no—
840Dic106—21no—
841Dic106—42no—
842Dic106—81no—
843Dic106—81no—
844C8×C53—21no—
845C8×C53—21no—
846C8×C53—21no—
847C8×C53—21no—
848#88322—21no—
849#88322—21no—
850#88322—21no—
851#88322—21no—
852#62031—531nomaximal, Sylow
853C22×C53—21no—
854C22×C53—21no—
855C22×C53—22no—
856C22×C53—21no—
857C22×C53—21no—
858C22×C53—21no—
859C22×C53—21no—
860C22×C53—41no—
861C22×C53—41no—
862C22×C53—41no—
863C22×C53—41no—
864C22×C53—41no—
865C22×C53—41no—
866C22×C53—41no—
867C22×C53—41no—
868C22×C53—41no—
869C22×C53—41no—
870C22×C53—41no—
871C22×C53—41no—
872C22×C53—41no—
873C22×C53—41no—
874C22×C53—162no—
875C22×C53—162no—
876C22×C53—162no—
877C22×C53C23×D411yescharacteristic
878C2×D53—21no—
879C2×D53—21no—
880C2×D53—21no—
881C2×D53—41no—
882C2×D53—41no—
883C2×D53—41no—
884C2×D53—41no—
885C2×D53—41no—
886C2×D53—41no—
887C2×D53—41no—
888C2×D53—41no—
889C2×D53—41no—
890C2×D53—162no—
891C2×D53—162no—
892C2×D53—162no—
893C4×C53—21no—
894C4×C53—21no—
895C4×C53—21no—
896C4×C53—21no—
897C4×C53—41no—
898C4×C53—41no—
899C4×C53—41no—
900C4×C53C2×H(5,𝔽2)11yescharacteristic
901C4×C53#58511yescharacteristic
902Dic53—21no—
903Dic53—21no—
904Dic53—21no—
905Dic53—21no—
906Dic53—21no—
907Dic53—21no—
908Dic53—41no—
909Dic53—41no—
910Dic53—41no—
911Dic53—41no—
912Dic53—41no—
913Dic53#57612yes—
914#3543—531no—
915#3514—531no—
916#3399—531no—
917#3396—531no—
918#3373—531no—
919#3358—531no—
920#3325—531no—
921#3325—531no—
922#3324—531no—
923#3319—531no—
924#3319—531no—
925#3304—531no—
926D4×D8—531no—
927#3274—531no—
928#3273—531no—
929#3273—531no—
930#3264—531no—
931#3264D5311yescharacteristic, complemented
932#3257—531no—
933#3257—531no—
934#3251—531no—
935#3224—531no—
936#3224—531no—
937#3205—531no—
938#3122—531no—
939#3122—531no—
940#3102—531no—
941#3041—531no—
942#3041—531no—
943#3038—531no—
944#2993—531no—
945C2×C53—41no—
946C2×C53—42no—
947C2×C53—41no—
948C2×C53—81no—
949C2×C53—81no—
950C2×C53—81no—
951C2×C53—81no—
952C2×C53#348811yescharacteristic
953C2×C53C2×#57611yescharacteristic
954C2×C53#358511yescharacteristic
955D53—41no—
956D53—81no—
957D53—81no—
958D53—81no—
959C2×AGL(1,ℤ/8)—531no—
960C2×AGL(1,ℤ/8)—531no—
961C2×AGL(1,ℤ/8)—531no—
962C2×AGL(1,ℤ/8)C2×D5311yescharacteristic, complemented
963C22×D8—531no—
964C22×D8C2×D5311yescharacteristic, complemented
965#560—1061no—
966#560—1061no—
967#559—531no—
968#559—531no—
969#556—531no—
970#555—531no—
971#555—531no—
972#551—1061no—
973#551—1061no—
974#550—531no—
975#550—531no—
976D4×Q8—531no—
977#548—1061no—
978#546—531no—
979#546—531no—
980#546—531no—
981#546—1061no—
982#546—1061no—
983#546C2×D5311yescharacteristic, complemented
984D42—531no—
985D42—531no—
986D42—531no—
987D42—1061no—
988D42C2×D5311yescharacteristic, complemented
989#542—531no—
990#542—531no—
991#540—531no—
992#540—531no—
993#540—1061no—
994#538—1061no—
995#538—1061no—
996#535—531no—
997#535—531no—
998#535—1061no—
999#534—1061no—
1000#534—1061no—
1001#532—531no—
1002C2×#127—531no—
1003#529—531no—
1004#529—531no—
1005#529—1061no—
1006C2×#124—1061no—
1007#518—531no—
1008#518—531no—
1009C4×#41—531no—
1010#496—531no—
1011#496C2×D5311yescharacteristic, complemented
1012#495—531no—
1013#495—531no—
1014#493—531no—
1015#493—531no—
1016#489—531no—
1017#489—531no—
1018#486—531no—
1019#486—531no—
1020#486—531no—
1021#486—531no—
1022#485—531no—
1023#482—531no—
1024#482—531no—
1025#482—531no—
1026#482—531no—
1027#482—531no—
1028#479—531no—
1029#478—531no—
1030#478—531no—
1031#478—531no—
1032#476—531no—
1033#476—531no—
1034#475—531no—
1035#474—531no—
1036#474—531no—
1037#474—531no—
1038#469—531no—
1039#469—531no—
1040#469—531no—
1041#469C2×D5311yescharacteristic, complemented
1042#468—531no—
1043#468—531no—
1044#468—531no—
1045#468—531no—
1046#466—531no—
1047#466—531no—
1048#465—531no—
1049#465C2×D5311yescharacteristic, complemented
1050#464—531no—
1051#463—531no—
1052#463—531no—
1053#463—531no—
1054#463—531no—
1055#463—531no—
1056#463—531no—
1057#463—531no—
1058#463—531no—
1059#463—531no—
1060#463—531no—
1061#463C2×D5311yescharacteristic, complemented
1062#460—531no—
1063#460—531no—
1064#460—531no—
1065#460—531no—
1066#460—531no—
1067#459—531no—
1068#459—531no—
1069#459—531no—
1070#459—531no—
1071#459—531no—
1072#459—531no—
1073#459—531no—
1074#459—531no—
1075#459—531no—
1076#459—531no—
1077#459—531no—
1078#459—531no—
1079#459C2×D5311yescharacteristic, complemented
1080#452—531no—
1081#452—531no—
1082#452—531no—
1083#450—531no—
1084#450C2×D5311yescharacteristic, complemented
1085#449—531no—
1086#449—531no—
1087#449C2×D5311yescharacteristic
1088#447—531no—
1089#447—531no—
1090#447—531no—
1091#447—531no—
1092#447—531no—
1093#447—531no—
1094#447—531no—
1095#447—531no—
1096#447C2×D5311yescharacteristic, complemented
1097#447C2×D5311yescharacteristic, complemented
1098#446—531no—
1099C8×Q8—531no—
1100#442—531no—
1101#442—531no—
1102#442—531no—
1103#442C2×D5311yescharacteristic, complemented
1104C4×Q16—531no—
1105C4×SD16—531no—
1106C4×SD16—531no—
1107C4×D8—531no—
1108C4×D8—531no—
1109C4×D8—531no—
1110C4×D8—531no—
1111C4×D8—531no—
1112#436—531no—
1113#436—531no—
1114#436—531no—
1115#435—531no—
1116#435C2×D5311yescharacteristic, complemented
1117C8×D4—531no—
1118#433—531no—
1119#433—531no—
1120#431—531no—
1121#424—531no—
1122#424—531no—
1123#423—531no—
1124#418—531no—
1125#418—531no—
1126#418—531no—
1127#418—531no—
1128#416—531no—
1129#416—531no—
1130C53#6203111yescharacteristic, complemented, Sylow
1131C2×#41—531no—
1132C2×#41—531no—
1133C2×#41—1061no—
1134C2×#41—1061no—
1135C2×#41C22×D5311yescharacteristic
1136C22×Q8—1061no—
1137C22×D4—21no—
1138C22×D4—531no—
1139C22×D4—531no—
1140C22×D4—531no—
1141C22×D4—1061no—
1142C22×D4—1061no—
1143C22×D4—1061no—
1144C22×D4—1061no—
1145C22×D4—1061no—
1146C22×D4C22×D5311yescharacteristic
1147C22×D4C22×D5311yescharacteristic
1148C22×D4C22×D5311yescharacteristic
1149AGL(1,ℤ/8)—42no—
1150AGL(1,ℤ/8)—2122no—
1151AGL(1,ℤ/8)—2122no—
1152AGL(1,ℤ/8)—2122no—
1153C2×Q16—531no—
1154C2×SD16—531no—
1155C2×SD16—531no—
1156C2×SD16—531no—
1157C2×SD16—531no—
1158C2×SD16—531no—
1159C2×SD16C22×D5311yescharacteristic
1160C2×SD16C22×D5311yescharacteristic
1161C2×SD16C22×D5311yescharacteristic
1162C2×D8—42no—
1163C2×D8—531no—
1164C2×D8—531no—
1165C2×D8—531no—
1166C2×D8—531no—
1167C2×D8—531no—
1168C2×D8—531no—
1169C2×D8—531no—
1170C2×D8—531no—
1171C2×D8—531no—
1172C2×D8—2122no—
1173C2×D8C22×D5311yescharacteristic
1174C2×D8C22×D5311yescharacteristic
1175C2×D8C22×D5311yescharacteristic
1176C2×D8C22×D5311yescharacteristic
1177C2×D8C22×D5311yescharacteristic
1178C2×D8C22×D5311yescharacteristic
1179C2×M16—531no—
1180C2×M16—531no—
1181C2×M16—531no—
1182C2×M16C22×D5311yescharacteristic
1183C22×C8—531no—
1184C22×C8C22×D5311yescharacteristic
1185C4⋊Q8—531no—
1186C4⋊Q8—531no—
1187C4⋊Q8—531no—
1188#127—531no—
1189#127—531no—
1190#127—531no—
1191#127—531no—
1192#127—531no—
1193#127—531no—
1194#127—1061no—
1195#127—1061no—
1196#127—1061no—
1197#127C22×D5311yescharacteristic
1198#126—531no—
1199#126—531no—
1200#126—1061no—
1201#126—1061no—
1202#126—1061no—
1203#126—1061no—
1204#126—1061no—
1205#125—531no—
1206#125—531no—
1207#124—531no—
1208#124—531no—
1209#124—531no—
1210#124—531no—
1211#124—531no—
1212#124—1061no—
1213#124—1061no—
1214#124—1061no—
1215#124—1061no—
1216#124—1061no—
1217#124—1061no—
1218#124—1061no—
1219#124—1061no—
1220#124—1061no—
1221#124—1061no—
1222#124C22×D5311yescharacteristic
1223#123—21no—
1224#123—531no—
1225#123—531no—
1226#123—1061no—
1227#123—1061no—
1228#123—1061no—
1229#123—1061no—
1230#123—1061no—
1231#123—1061no—
1232#123—1061no—
1233#123—1061no—
1234#123—1061no—
1235#123—1061no—
1236#123—1061no—
1237#123—1061no—
1238#123—1061no—
1239#123—1061no—
1240C22⋊Q8—531no—
1241C22⋊Q8—531no—
1242C22⋊Q8—531no—
1243C22⋊Q8—1061no—
1244C22⋊Q8—1061no—
1245C22⋊Q8—1061no—
1246C22⋊Q8—1061no—
1247C22⋊Q8—1061no—
1248C22⋊Q8C22×D5311yescharacteristic
1249#121—21no—
1250#121—21no—
1251#121—531no—
1252#121—531no—
1253#121—531no—
1254#121—531no—
1255#121—531no—
1256#121—531no—
1257#121—531no—
1258#121—1061no—
1259#121—1061no—
1260#121—1061no—
1261#121—1061no—
1262#121—1061no—
1263#121—1061no—
1264#121—1061no—
1265#121—1061no—
1266#121—1061no—
1267#121—1061no—
1268#121—1061no—
1269#121—1061no—
1270#121—1061no—
1271#121—1061no—
1272#121—1061no—
1273#121—1061no—
1274#121—1061no—
1275#121—1061no—
1276#121—1061no—
1277#121—1061no—
1278#121—1061no—
1279#121—1061no—
1280#121C22×D5311yescharacteristic
1281#121C22×D5311yescharacteristic
1282#121C22×D5311yescharacteristic
1283#120—21no—
1284#120—21no—
1285#120—21no—
1286#120—1061no—
1287#120—1061no—
1288#120—1061no—
1289#120—1061no—
1290#120—1061no—
1291#120—1061no—
1292#120—1061no—
1293#120—1061no—
1294#120—1061no—
1295#120—1061no—
1296#120—1061no—
1297#120—1061no—
1298#120—1061no—
1299C4×Q8—531no—
1300C4×Q8—531no—
1301C4×Q8—531no—
1302C4×Q8—531no—
1303C4×Q8—1061no—
1304C4×D4—531no—
1305C4×D4—531no—
1306C4×D4—531no—
1307C4×D4—531no—
1308C4×D4—531no—
1309C4×D4—531no—
1310C4×D4—531no—
1311C4×D4—531no—
1312C4×D4—531no—
1313C4×D4—531no—
1314C4×D4—531no—
1315C4×D4—531no—
1316C4×D4—531no—
1317C4×D4—1061no—
1318C4×D4—1061no—
1319C4×D4—1061no—
1320C4×D4—1061no—
1321C4×D4—1061no—
1322C4×D4—1061no—
1323C4×D4—1061no—
1324C4×D4—1061no—
1325C4×D4—1061no—
1326C4×D4—1061no—
1327C4×D4—1061no—
1328C4×D4C22×D5311yescharacteristic
1329C4×D4C22×D5311yescharacteristic
1330C4×D4C22×D5311yescharacteristic
1331#117—531no—
1332#117—531no—
1333#117—531no—
1334#117—531no—
1335#117—531no—
1336#117—1061no—
1337#117—1061no—
1338#117—1061no—
1339#117—1061no—
1340C2×C22⋊C4—21no—
1341C2×C22⋊C4—1061no—
1342C2×C22⋊C4—1061no—
1343C2×C22⋊C4—1061no—
1344C2×C22⋊C4—1061no—
1345C2×C22⋊C4—1061no—
1346C2×C22⋊C4—1061no—
1347C2×C22⋊C4—1061no—
1348C2×C42—531no—
1349C2×C42—1061no—
1350#107—531no—
1351#107—531no—
1352#107—531no—
1353#107—531no—
1354#106—531no—
1355#106—531no—
1356#106—531no—
1357#106C22×D5311yescharacteristic
1358C4⋊C8—531no—
1359C4⋊C8—531no—
1360C4⋊C8—531no—
1361C4⋊C8—531no—
1362C4⋊C8—531no—
1363C4⋊C8—531no—
1364C4⋊C8—531no—
1365C4⋊C8—531no—
1366C4⋊C8—531no—
1367C4⋊C8C22×D5311yescharacteristic
1368#103—531no—
1369#103—531no—
1370#103—531no—
1371#103—531no—
1372#103—531no—
1373#103C22×D5311yescharacteristic
1374#102—531no—
1375#102—531no—
1376#102—531no—
1377#102—531no—
1378#102—531no—
1379#102—531no—
1380#102—531no—
1381#102—531no—
1382#102—531no—
1383#102—531no—
1384#102—531no—
1385#102—531no—
1386#102—531no—
1387#102—531no—
1388#102—531no—
1389#102—531no—
1390#102—531no—
1391#102—531no—
1392#102—531no—
1393#102—531no—
1394#102—531no—
1395#102C22×D5311yescharacteristic
1396#102C22×D5311yescharacteristic
1397#102C22×D5311yescharacteristic
1398#102C22×D5311yescharacteristic
1399#102C22×D5311yescharacteristic
1400C22⋊C8—531no—
1401C22⋊C8—531no—
1402C22⋊C8—531no—
1403C22⋊C8—531no—
1404C22⋊C8C22×D5311yescharacteristic
1405C22⋊C8C22×D5311yescharacteristic
1406#97—531no—
1407#97C22×D5311yescharacteristic
1408C4×C8—531no—
1409C4×C8—531no—
1410C4×C8—531no—
1411C4×C8—531no—
1412C24—21no—
1413C24—21no—
1414C24—21no—
1415C24—1061no—
1416C24—1061no—
1417C24—1061no—
1418#41—22no—
1419#41—41no—
1420#41—4242no—
1421#41—4242no—
1422#41—2121no—
1423#41—2121no—
1424#41—2121no—
1425#41—2121no—
1426C2×Q8—531no—
1427C2×Q8—531no—
1428C2×Q8—1061no—
1429C2×Q8—1061no—
1430C2×Q8—1061no—
1431C2×Q8—4242no—
1432C2×Q8C23×D5311yescharacteristic
1433C2×D4—22no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—21no—
1441C2×D4—21no—
1442C2×D4—21no—
1443C2×D4—41no—
1444C2×D4—41no—
1445C2×D4—41no—
1446C2×D4—41no—
1447C2×D4—41no—
1448C2×D4—82no—
1449C2×D4—531no—
1450C2×D4—531no—
1451C2×D4—531no—
1452C2×D4—531no—
1453C2×D4—531no—
1454C2×D4—1061no—
1455C2×D4—1061no—
1456C2×D4—1061no—
1457C2×D4—1061no—
1458C2×D4—1061no—
1459C2×D4—1061no—
1460C2×D4—1061no—
1461C2×D4—1061no—
1462C2×D4—1061no—
1463C2×D4—1061no—
1464C2×D4—1061no—
1465C2×D4—1061no—
1466C2×D4—1061no—
1467C2×D4—1061no—
1468C2×D4—1061no—
1469C2×D4—1062no—
1470C2×D4—1061no—
1471C2×D4—1061no—
1472C2×D4—1061no—
1473C2×D4—1061no—
1474C2×D4—1061no—
1475C2×D4—1061no—
1476C2×D4—1061no—
1477C2×D4—1061no—
1478C2×D4—4242no—
1479C2×D4—4242no—
1480C2×D4—4242no—
1481C2×D4—4242no—
1482C2×D4—4242no—
1483C2×D4—2121no—
1484C2×D4—2121no—
1485C2×D4—2121no—
1486C2×D4—2121no—
1487C2×D4—2121no—
1488C2×D4D4×D5311yescharacteristic
1489C2×D4C23×D5311yescharacteristic
1490C2×D4C23×D5311yescharacteristic
1491C2×D4C23×D5311yescharacteristic
1492C2×D4C23×D5311yescharacteristic
1493C2×D4C23×D5311yescharacteristic
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—531no—
1498C22×C4—531no—
1499C22×C4—531no—
1500C22×C4—1061no—
1501C22×C4—1061no—
1502C22×C4—1061no—
1503C22×C4—1061no—
1504C22×C4—1061no—
1505C22×C4—1061no—
1506C22×C4—1061no—
1507C22×C4—1061no—
1508C22×C4—1061no—
1509C22×C4—1061no—
1510C22×C4—1061no—
1511C22×C4—1061no—
1512C22×C4—1061no—
1513C22×C4C23×D5311yescharacteristic
1514C22×C4C23×D5311yescharacteristic
1515Q16—2121no—
1516SD16—41no—
1517SD16—41no—
1518SD16—41no—
1519SD16—1062no—
1520SD16—2121no—
1521SD16—2121no—
1522SD16—2121no—
1523SD16—2121no—
1524D8—22no—
1525D8—22no—
1526D8—22no—
1527D8—41no—
1528D8—41no—
1529D8—41no—
1530D8—1062no—
1531D8—1062no—
1532D8—2121no—
1533D8—2121no—
1534D8—2121no—
1535D8—2121no—
1536D8—2121no—
1537D8—2121no—
1538D8—2121no—
1539M16—41no—
1540M16—2121no—
1541M16—2121no—
1542M16—2121no—
1543C2×C8—41no—
1544C2×C8—531no—
1545C2×C8—531no—
1546C2×C8—531no—
1547C2×C8—531no—
1548C2×C8—2121no—
1549C2×C8C23×D5311yescharacteristic
1550C2×C8C23×D5311yescharacteristic
1551C2×C8C23×D5311yescharacteristic
1552C2×C8C23×D5311yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—531no—
1555C4⋊C4—531no—
1556C4⋊C4—531no—
1557C4⋊C4—531no—
1558C4⋊C4—531no—
1559C4⋊C4—531no—
1560C4⋊C4—531no—
1561C4⋊C4—531no—
1562C4⋊C4—531no—
1563C4⋊C4—531no—
1564C4⋊C4—531no—
1565C4⋊C4—531no—
1566C4⋊C4—531no—
1567C4⋊C4—1061no—
1568C4⋊C4—1061no—
1569C4⋊C4—1061no—
1570C4⋊C4—1061no—
1571C4⋊C4—1061no—
1572C4⋊C4—1061no—
1573C4⋊C4—1061no—
1574C4⋊C4—1061no—
1575C4⋊C4—1061no—
1576C4⋊C4—1061no—
1577C4⋊C4D4×D5311yescharacteristic
1578C4⋊C4C23×D5311yescharacteristic
1579C4⋊C4C23×D5311yescharacteristic
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—21no—
1583C22⋊C4—21no—
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—531no—
1589C22⋊C4—531no—
1590C22⋊C4—531no—
1591C22⋊C4—531no—
1592C22⋊C4—531no—
1593C22⋊C4—531no—
1594C22⋊C4—531no—
1595C22⋊C4—531no—
1596C22⋊C4—1061no—
1597C22⋊C4—1061no—
1598C22⋊C4—1061no—
1599C22⋊C4—1061no—
1600C22⋊C4—1061no—
1601C22⋊C4—1061no—
1602C22⋊C4—1061no—
1603C22⋊C4—1061no—
1604C22⋊C4—1061no—
1605C22⋊C4—1061no—
1606C22⋊C4—1061no—
1607C22⋊C4—1061no—
1608C22⋊C4—1061no—
1609C22⋊C4—1061no—
1610C22⋊C4—1061no—
1611C22⋊C4—1061no—
1612C22⋊C4—1061no—
1613C22⋊C4—1061no—
1614C22⋊C4—1061no—
1615C22⋊C4—1061no—
1616C22⋊C4—1061no—
1617C22⋊C4—1061no—
1618C22⋊C4—1061no—
1619C22⋊C4—1061no—
1620C22⋊C4—1061no—
1621C22⋊C4—1061no—
1622C22⋊C4—1061no—
1623C22⋊C4—1061no—
1624C22⋊C4—1061no—
1625C22⋊C4—1061no—
1626C22⋊C4D4×D5311yescharacteristic
1627C22⋊C4D4×D5311yescharacteristic
1628C42—531no—
1629C42—531no—
1630C42—531no—
1631C42—531no—
1632C42—531no—
1633C42—1061no—
1634C42—1061no—
1635C42—1061no—
1636C42—1061no—
1637C42—1061no—
1638C42—1061no—
1639C42C23×D5311yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—42no—
1646C23—42no—
1647C23—81no—
1648C23—81no—
1649C23—81no—
1650C23—81no—
1651C23—81no—
1652C23—81no—
1653C23—81no—
1654C23—531no—
1655C23—1061no—
1656C23—1061no—
1657C23—1061no—
1658C23—4241no—
1659C23—4241no—
1660C23—4241no—
1661C23—4241no—
1662C23—4241no—
1663C23—4241no—
1664C23—4241no—
1665C23—2122no—
1666C23—2122no—
1667C23C2×D4×D5311yescharacteristic
1668C23C2×D4×D5311yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—1062no—
1672Q8—1061no—
1673Q8—1061no—
1674Q8—4241no—
1675Q8—4241no—
1676Q8—2122no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—21no—
1685D4—21no—
1686D4—41no—
1687D4—42no—
1688D4—42no—
1689D4—42no—
1690D4—81no—
1691D4—81no—
1692D4—81no—
1693D4—81no—
1694D4—81no—
1695D4—81no—
1696D4—1062no—
1697D4—1061no—
1698D4—1061no—
1699D4—1061no—
1700D4—1061no—
1701D4—1061no—
1702D4—1061no—
1703D4—4241no—
1704D4—4241no—
1705D4—4241no—
1706D4—4241no—
1707D4—4241no—
1708D4—4241no—
1709D4—4241no—
1710D4—4241no—
1711D4—4241no—
1712D4—4241no—
1713D4—4241no—
1714D4—4241no—
1715D4—4241no—
1716D4—4241no—
1717D4—4241no—
1718D4—4241no—
1719D4—4241no—
1720D4—4241no—
1721D4—4241no—
1722D4—2122no—
1723D4—2122no—
1724D4—2122no—
1725D4—2121no—
1726D4—2122no—
1727D4#1313326212yes—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—42no—
1736C2×C4—81no—
1737C2×C4—81no—
1738C2×C4—531no—
1739C2×C4—531no—
1740C2×C4—531no—
1741C2×C4—531no—
1742C2×C4—531no—
1743C2×C4—531no—
1744C2×C4—531no—
1745C2×C4—1062no—
1746C2×C4—1061no—
1747C2×C4—1061no—
1748C2×C4—1061no—
1749C2×C4—1061no—
1750C2×C4—1061no—
1751C2×C4—1061no—
1752C2×C4—1061no—
1753C2×C4—4241no—
1754C2×C4—4241no—
1755C2×C4—4241no—
1756C2×C4—4241no—
1757C2×C4—4241no—
1758C2×C4—4241no—
1759C2×C4—4241no—
1760C2×C4—4241no—
1761C2×C4—4241no—
1762C2×C4—4241no—
1763C2×C4—4241no—
1764C2×C4—2122no—
1765C2×C4—2122no—
1766C2×C4—2121no—
1767C2×C4C2×D4×D5311yescharacteristic
1768C2×C4C2×D4×D5311yescharacteristic
1769C2×C4C2×D4×D5311yescharacteristic
1770C2×C4C2×D4×D5311yescharacteristic
1771C2×C4C24×D5311yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1061no—
1777C8—1061no—
1778C8—1061no—
1779C8—1061no—
1780C22—21no—
1781C22—21no—
1782C22—22no—
1783C22—21no—
1784C22—21no—
1785C22—21no—
1786C22—21no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—162no—
1802C22—162no—
1803C22—162no—
1804C22—8482no—
1805C22—8482no—
1806C22—8482no—
1807C22—1061no—
1808C22—1061no—
1809C22—1061no—
1810C22—2121no—
1811C22—2121no—
1812C22—2121no—
1813C22—2121no—
1814C22—2121no—
1815C22—2121no—
1816C22—2121no—
1817C22—2121no—
1818C22—2121no—
1819C22C22×D4×D5311yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—532no—
1828C4—1061no—
1829C4—1061no—
1830C4—1061no—
1831C4—1061no—
1832C4—1061no—
1833C4—1061no—
1834C4—2121no—
1835C4—2121no—
1836C4—2121no—
1837C4—2121no—
1838C4—2121no—
1839C4C2×#1313326211yescharacteristic
1840C4#1681145811yescharacteristic
1841C2—41no—
1842C2—41no—
1843C2—42no—
1844C2—81no—
1845C2—81no—
1846C2—81no—
1847C2—81no—
1848C2—4241no—
1849C2—4241no—
1850C2—4241no—
1851C2—2121no—
1852C2#2028837511yescharacteristic
1853C2#576×D5311yescharacteristic
1854C2#2028949111yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3264C2
socleC22×C53C23×D4
hypercenter#3264D53
hypocenterC53#62031
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #20289040C2semidirect
2. #20288663C2semidirect
3. #20287754C2semidirect
4. #20287722C2semidirect
5. #20287508C2semidirect
6. #20287345C2semidirect
7. #20286957C2semidirect
8. #20286952C2semidirect
9. #20286939C2semidirect
10. #20286873C2semidirect
11. #20286864C2semidirect
12. #20286649C2semidirect
13. D8×C22⋊D53C2semidirect
14. #20286333C2semidirect
15. #20286322C2semidirect
16. #20286320C2semidirect
17. #20286198C2semidirect
18. #20286129C2semidirect
19. #20286123C2semidirect
20. #20286070C2semidirect
21. #20285813C2semidirect
22. #20285804C2semidirect
23. #20285631C2semidirect
24. #20284957C2semidirect
25. #20284952C2semidirect
26. #20284726C2semidirect
27. #20284215C2semidirect
28. #20284213C2semidirect
29. #20284193C2semidirect
30. #20283857C2semidirect
31. C53×#3264C2semidirect
32. C2×#13133243C22semidirect
33. C2×#13133242C22semidirect
34. C2×#13133241C22semidirect
35. C2×D8×D53C22semidirect
38. #16811356C22semidirect
39. #16811355C22semidirect
40. #16811344C22semidirect
41. #16811338C22semidirect
42. #16811337C22semidirect
45. #16811293C22semidirect
47. D4×Dic106C22semidirect
49. #16811269C22semidirect
50. #16811267C22semidirect
51. #16811261C22semidirect
54. #16811257C22semidirect
57. D4×C22⋊D53C22semidirect
58. #16811246C22semidirect
59. #16811242C22semidirect
60. #16811226C22semidirect
61. #16811224C22semidirect
65. #16811190C22semidirect
67. #16811186C22semidirect
70. #16811168C22semidirect
71. C2×#13133213C22semidirect
72. #16811154C22semidirect
76. #16811098C22semidirect
77. #16811095C22semidirect
78. #41×Dic53C22semidirect
79. #16811009C22semidirect
80. #16811005C22semidirect
81. #16811004C22semidirect
83. #16810998C22semidirect
84. #16810983C22semidirect
85. #16810981C22semidirect
86. #16810969C22semidirect
87. #16810968C22semidirect
88. #16810968C22semidirect
89. #16810968C22semidirect
90. #16810965C22semidirect
91. #16810949C22semidirect
92. #16810948C22semidirect
93. #16810946C22semidirect
94. #16810944C22semidirect
95. #16810944C22semidirect
96. #16810932C22semidirect
97. #16810925C22semidirect
98. #16810922C22semidirect
99. #16810921C22semidirect
100. #16810913C22semidirect
101. #16810912C22semidirect
102. #16810907C22semidirect
103. #16810904C22semidirect
104. #16810901C22semidirect
105. #16810901C22semidirect
106. #16810875C22semidirect
107. #16810874C22semidirect
108. #16810874C22semidirect
109. #16810871C22semidirect
110. #16810869C22semidirect
111. #16810867C22semidirect
112. #16810866C22semidirect
113. #16810859C22semidirect
114. #16810856C22semidirect
115. #16810855C22semidirect
116. #16810843C22semidirect
117. #16810841C22semidirect
118. #16810840C22semidirect
119. #16810839C22semidirect
120. #16810838C22semidirect
121. #16810837C22semidirect
122. #16810836C22semidirect
123. #16810836C22semidirect
124. #16810836C22semidirect
125. #16810836C22semidirect
126. #16810835C22semidirect
127. #16810822C22semidirect
128. #16810821C22semidirect
129. #16810821C22semidirect
130. #16810821C22semidirect
131. #16810821C22semidirect
132. #16810817C22semidirect
133. #16810817C22semidirect
135. #16810816C22semidirect
136. #16810816C22semidirect
137. #16810816C22semidirect
138. #16810816C22semidirect
139. #16810816C22semidirect
140. #16810816C22semidirect
141. #16810816C22semidirect
142. #16810816C22semidirect
143. #16810815C22semidirect
144. #16810785C22semidirect
145. #16810783C22semidirect
146. #16810782C22semidirect
147. #16810772C22semidirect
148. #16810770C22semidirect
149. #16810765C22semidirect
150. #16810759C22semidirect
151. #16810758C22semidirect
152. #16810757C22semidirect
153. #16810757C22semidirect
154. #16810757C22semidirect
155. #16810756C22semidirect
156. #16810755C22semidirect
157. #16810755C22semidirect
158. #16810751C22semidirect
159. #16810747C22semidirect
160. #16810736C22semidirect
161. #16810735C22semidirect
162. #16810732C22semidirect
163. #16810715C22semidirect
164. #16810714C22semidirect
165. SD16×Dic53C22semidirect
166. D8×Dic53C22semidirect
167. D8×Dic53C22semidirect
168. C4×#11719922C22semidirect
169. C4×#11719922C22semidirect
170. #16810703C22semidirect
171. #16810701C22semidirect
172. #16810699C22semidirect
173. #16810698C22semidirect
174. #16810697C22semidirect
175. C8×C22⋊D53C22semidirect
176. #16810685C22semidirect
177. #16810681C22semidirect
178. #16810673C22semidirect
179. #16810649C22semidirect
180. #16810648C22semidirect
181. #16810646C22semidirect
182. #16810629C22semidirect
183. #16810628C22semidirect
184. #16810628C22semidirect
185. #16810626C22semidirect
186. #16810620C22semidirect
187. #16810616C22semidirect
188. C2×AGL(1,ℤ/8)×C53C22semidirect
189. C22×D8×C53C22semidirect
190. C53×#546C22semidirect
191. D42×C53C22semidirect
192. C53×#496C22semidirect
193. C53×#469C22semidirect
194. C53×#465C22semidirect
195. C53×#463C22semidirect
196. C53×#459C22semidirect
197. C53×#450C22semidirect
199. C53×#447C22semidirect
200. C53×#447C22semidirect
201. C53×#442C22semidirect
202. C53×#435C22semidirect
931. #3264D53semidirect
962. C2×AGL(1,ℤ/8)C2×D53semidirect
964. C22×D8C2×D53semidirect
983. #546C2×D53semidirect
988. D42C2×D53semidirect
1011. #496C2×D53semidirect
1041. #469C2×D53semidirect
1049. #465C2×D53semidirect
1061. #463C2×D53semidirect
1079. #459C2×D53semidirect
1084. #450C2×D53semidirect
1096. #447C2×D53semidirect
1097. #447C2×D53semidirect
1103. #442C2×D53semidirect
1116. #435C2×D53semidirect
1130. C53#62031semidirect

Maximal subgroups

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

subgroupindex
#202890402
#202886632
#202877542
#202877222
#202875082
#202873452
#202869572
#202869522
#202869392
#202868732
#202868642
#202866492
D8×C22⋊D532
#202863332
#202863222
#202863202
#202861982
#202861292
#202861232
#202860702
#202858132
#202858042
#202856312
#202849572
#202849522
#202847262
#202842152
#202842132
#202841932
#202838572
C53×#32642
#6203153