Finite Group Databasebeta

← #28270352

Subgroups — #28270352

Order 13568.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289010C211yesmaximal, characteristic, complemented
2#20288379C211yesmaximal, characteristic, complemented
3#20286859C211yesmaximal, characteristic, complemented
4#20286836C211yesmaximal, characteristic, complemented
5#20286821C211yesmaximal, characteristic, complemented
6#20286754C211yesmaximal, characteristic, complemented
7#20286652C211yesmaximal, characteristic, complemented
8#20286620C211yesmaximal, characteristic, complemented
9#20286556C211yesmaximal, characteristic, complemented
10#20286534C211yesmaximal, characteristic, complemented
11#20286459C211yesmaximal, characteristic, complemented
12#20286442C211yesmaximal, characteristic, complemented
13#20286415C211yesmaximal, characteristic, complemented
14#20286404C211yesmaximal, characteristic, complemented
15#20286303C211yesmaximal, characteristic, complemented
16#20286288C211yesmaximal, characteristic, complemented
17#20286247C211yesmaximal, characteristic, complemented
18#20286217C211yesmaximal, characteristic, complemented
19#20285815C211yesmaximal, characteristic, complemented
20#20285785C211yesmaximal, characteristic, complemented
21#20285621C211yesmaximal, characteristic, complemented
22#20285485C211yesmaximal, characteristic, complemented
23#20285471C211yesmaximal, characteristic, complemented
24#20284987C211yesmaximal, characteristic, complemented
25#20284924C211yesmaximal, characteristic, complemented
26#20284022C211yesmaximal, characteristic, complemented
27#20283990C211yesmaximal, characteristic, complemented
28#20283936C211yesmaximal, characteristic, complemented
29#452×D53C211yesmaximal, characteristic, complemented
30#20283767C211yesmaximal, characteristic, complemented
31C53×#3201C211yesmaximal, characteristic, complemented
32C2×#13133263C2211yescharacteristic
33C2×#41×D53C2211yescharacteristic
34C2×#13133248C2211yescharacteristic, complemented
35C2×#13133245C2211yescharacteristic, complemented
36C2×#13133240C2211yescharacteristic, complemented
37C2×#13133239C2211yescharacteristic, complemented
38C2×#13133238C2211yescharacteristic, complemented
39C2×Q16×D53C2211yescharacteristic, complemented
40C22×#11719924C2211yescharacteristic, complemented
41C2×SD16×D53C2211yescharacteristic, complemented
42#16811372—21no—
43#16811370—21no—
44#16811341C2211yescharacteristic, complemented
45#16811334—21no—
46#16811331C2211yescharacteristic, complemented
47#16811318—21no—
48#16811317C2211yescharacteristic, complemented
49#16811315C2211yescharacteristic, complemented
50#16811291C2211yescharacteristic
51#16811291C2211yescharacteristic
52Q8×C22⋊D53C2211yescharacteristic, complemented
53#16811284C2211yescharacteristic, complemented
54#16811283C2211yescharacteristic
55#16811283C2211yescharacteristic
56#16811283C2211yescharacteristic, complemented
57#16811275C2211yescharacteristic, complemented
58#16811264C2211yescharacteristic
59#16811264C2211yescharacteristic
60#16811262—21no—
61#16811262—21no—
62#16811257—21no—
63#16811257—21no—
64#16811257C2211yescharacteristic
65#16811257C2211yescharacteristic
66#16811246C2211yescharacteristic, complemented
67#16811237—21no—
68#16811233C2211yescharacteristic, complemented
69#16811216—21no—
70#16811209—21no—
71#16811207—21no—
72#16811203—21no—
73#16811201C2211yescharacteristic, complemented
74#16811189—21no—
75#16811187C2211yescharacteristic
76#16811136—21no—
77#16811136C2211yescharacteristic, complemented
78#16811130C2211yescharacteristic
79C22⋊Q8×D53C2211yescharacteristic, complemented
80C2×#13133192C2211yescharacteristic
81#121×D53—21no—
82#16811104C2211yescharacteristic
83#16811016C2211yescharacteristic, complemented
84#16811009C2211yescharacteristic, complemented
85#16811008C2211yescharacteristic, complemented
86#16810994C2211yescharacteristic, complemented
87#16810986C2211yescharacteristic, complemented
88#16810984C2211yescharacteristic, complemented
89#16810979C2211yescharacteristic, complemented
90#16810968C2211yescharacteristic, complemented
91#16810953C2211yescharacteristic, complemented
92#16810951C2211yescharacteristic, complemented
93#16810950C2211yescharacteristic, complemented
94#16810950C2211yescharacteristic, complemented
95#16810943C2211yescharacteristic, complemented
96#16810943C2211yescharacteristic, complemented
97#16810941C2211yescharacteristic, complemented
98#16810939C2211yescharacteristic, complemented
99#16810929C2211yescharacteristic, complemented
100#16810926C2211yescharacteristic, complemented
101#16810912C2211yescharacteristic, complemented
102#16810907C2211yescharacteristic, complemented
103#16810879C2211yescharacteristic, complemented
104#16810874C2211yescharacteristic, complemented
105#16810860C2211yescharacteristic, complemented
106#16810860C2211yescharacteristic, complemented
107#16810855C2211yescharacteristic, complemented
108#16810855C2211yescharacteristic, complemented
109#16810855C2211yescharacteristic, complemented
110#16810855C2211yescharacteristic, complemented
111#16810854C2211yescharacteristic, complemented
112#16810853C2211yescharacteristic, complemented
113#16810853C2211yescharacteristic, complemented
114#16810850C2211yescharacteristic, complemented
115#16810848C2211yescharacteristic, complemented
116#16810848C2211yescharacteristic, complemented
117#16810847C2211yescharacteristic, complemented
118#16810847C2211yescharacteristic, complemented
119#16810841C2211yescharacteristic, complemented
120#16810841C2211yescharacteristic, complemented
121#16810832C2211yescharacteristic, complemented
122#16810827C2211yescharacteristic, complemented
123#16810822C2211yescharacteristic, complemented
124#16810821C2211yescharacteristic, complemented
125#16810821C2211yescharacteristic, complemented
126#16810817C2211yescharacteristic, complemented
127#16810788C2211yescharacteristic, complemented
128#16810787C2211yescharacteristic
129#16810787C2211yescharacteristic, complemented
130#16810786C2211yescharacteristic, complemented
131#16810785C2211yescharacteristic, complemented
132#16810784C2211yescharacteristic, complemented
133#16810783C2211yescharacteristic
134#16810783C2211yescharacteristic
135#16810783C2211yescharacteristic, complemented
136#16810783C2211yescharacteristic, complemented
137#16810783C2211yescharacteristic, complemented
138#16810782C2211yescharacteristic, complemented
139#16810777C2211yescharacteristic, complemented
140#16810776C2211yescharacteristic, complemented
141#16810776C2211yescharacteristic, complemented
142#16810773C2211yescharacteristic, complemented
143#16810773C2211yescharacteristic, complemented
144#16810773C2211yescharacteristic, complemented
145#16810773C2211yescharacteristic, complemented
146#16810772C2211yescharacteristic, complemented
147#16810771C2211yescharacteristic, complemented
148#16810771C2211yescharacteristic, complemented
149#16810770C2211yescharacteristic
150#16810770C2211yescharacteristic, complemented
151#16810768C2211yescharacteristic, complemented
152#16810766C2211yescharacteristic, complemented
153#16810763C2211yescharacteristic, complemented
154#16810763C2211yescharacteristic, complemented
155#16810763C2211yescharacteristic, complemented
156#16810759C2211yescharacteristic, complemented
157#16810759C2211yescharacteristic, complemented
158#16810758C2211yescharacteristic, complemented
159#16810734C2211yescharacteristic, complemented
160#16810727C2211yescharacteristic, complemented
161#16810727C2211yescharacteristic, complemented
162#16810722C2211yescharacteristic, complemented
163#16810717C2211yescharacteristic, complemented
164#16810710C2211yescharacteristic, complemented
165#16810708C2211yescharacteristic, complemented
166#16810708C2211yescharacteristic, complemented
167#16810697C2211yescharacteristic, complemented
168#16810697C2211yescharacteristic, complemented
169#16810692C2211yescharacteristic, complemented
170#16810692C2211yescharacteristic, complemented
171C8×C22⋊D53C2211yescharacteristic, complemented
172C8×C22⋊D53C2211yescharacteristic, complemented
173#16810686C2211yescharacteristic, complemented
174#16810686C2211yescharacteristic, complemented
175#16810681C2211yescharacteristic, complemented
176#16810681C2211yescharacteristic, complemented
177#16810627C2211yescharacteristic, complemented
178#16810625C2211yescharacteristic, complemented
179#16810618C2211yescharacteristic, complemented
180#16810617C2211yescharacteristic, complemented
181#16810616C2211yescharacteristic, complemented
182#103×D53C2211yescharacteristic, complemented
183C2×#13133139C2211yescharacteristic, complemented
184#102×D53C2211yescharacteristic, complemented
185#16810590C2211yescharacteristic, complemented
186C22⋊C8×D53C2211yescharacteristic, complemented
187C22⋊C8×D53C2211yescharacteristic, complemented
188C53×#537C2211yescharacteristic
189C53×#536C2211yescharacteristic, complemented
190C53×#485C2211yescharacteristic, complemented
191C53×#484C2211yescharacteristic, complemented
192C53×#483C2211yescharacteristic, complemented
193C53×#482C2211yescharacteristic, complemented
194C53×#470C2211yescharacteristic, complemented
195C53×#468C2211yescharacteristic, complemented
196C53×#467C2211yescharacteristic, complemented
197C53×#465C2211yescharacteristic, complemented
198C53×#452C2211yescharacteristic, complemented
199C53×#452C2211yescharacteristic, complemented
200C53×#451C2211yescharacteristic, complemented
201C53×#448C2211yescharacteristic, complemented
202C53×#408C2211yescharacteristic, complemented
203#13133263—42no—
204#13133263—42no—
205C2×#11719949—21no—
206C2×#11719949C2311yescharacteristic
207C2×#11719949C2311yescharacteristic
208C2×#11719945—21no—
209C2×#11719945C2311yescharacteristic
210C2×#11719945C2311yescharacteristic
211C2×#11719945C2311yescharacteristic
212C2×#11719945C2311yescharacteristic
213C2×#11719947—21no—
214C2×#11719947C2311yescharacteristic
215#41×D53—42no—
216#41×D53—42no—
217C2×Q8×D53C2311yescharacteristic
218C2×Q8×D53C2311yescharacteristic
219C22×D212—21no—
220C22×D212C2311yescharacteristic
221C22×D212C2311yescharacteristic
222C22×D212C2311yescharacteristic
223C2×D4×D53—21no—
224C2×D4×D53—21no—
225C2×D4×D53—21no—
226C2×D4×D53—21no—
227C2×D4×D53—21no—
228C2×D4×D53—21no—
229C2×D4×D53C2311yescharacteristic
230C22×C4×D53—21no—
231C22×C4×D53C2311yescharacteristic
232#13133248—42no—
233#13133245—42no—
234#13133240—42no—
235#13133239—42no—
236#13133238—42no—
237C2×Dic212C2311yescharacteristic
238C2×#11719925C2311yescharacteristic
239C2×#11719925C2311yescharacteristic
240C2×#11719925C2311yescharacteristic
241Q16×D53—42no—
242C2×#11719913C2311yescharacteristic
243C2×#11719913C2311yescharacteristic
244C2×#11719913C2311yescharacteristic
245C2×#11719913C2311yescharacteristic
246C2×#11719923C2311yescharacteristic
247C2×#11719924—42no—
248C2×#11719924C2311yescharacteristic
249C2×#11719924C2311yescharacteristic
250C2×#11719924C2311yescharacteristic
251C2×#11719924C2311yescharacteristic
252C2×#11719924C2311yescharacteristic
253C2×#11719924C2311yescharacteristic
254C2×#11719924C2311yescharacteristic
255SD16×D53—42no—
256C2×D424C2311yescharacteristic
257C2×D424C2311yescharacteristic
258C2×D424C2311yescharacteristic
259C2×#11719922C2311yescharacteristic
260C2×#11719917C2311yescharacteristic
261C22×#88322C2311yescharacteristic
262C2×C8×D53C2311yescharacteristic
263C2×C8×D53C2311yescharacteristic
264C2×C8×D53C2311yescharacteristic
265C2×C8×D53C2311yescharacteristic
266#13133216C2311yescharacteristic
267#13133215—21no—
268#13133215C2311yescharacteristic
269#13133213—21no—
270#13133213—21no—
271#13133213C2311yescharacteristic
272#13133213C2311yescharacteristic
273#13133212—21no—
274#13133212—21no—
275#13133211—21no—
276#13133211—21no—
277#13133210—21no—
278#13133210—21no—
279#13133210—21no—
280#13133208—21no—
281#13133208—21no—
282#13133208C2311yescharacteristic
283#13133207—21no—
284#13133207—21no—
285#13133206—21no—
286#13133206C2311yescharacteristic
287#13133206C2311yescharacteristic
288#13133206C2311yescharacteristic
289#13133203—21no—
290#13133203—21no—
291#13133203—21no—
292#13133203—21no—
293#13133203—21no—
294#13133202—21no—
295#13133202—21no—
296#13133202—21no—
297#13133202—21no—
298#13133201—21no—
299#13133199—21no—
300#13133199—21no—
301#13133199—21no—
302#13133198D411yescharacteristic
303#13133198D411yescharacteristic
304#13133197—21no—
305#13133197—21no—
306#13133197C2311yescharacteristic
307#13133196—21no—
308#13133196C2311yescharacteristic
309#13133196C2311yescharacteristic
310#13133195—21no—
311#13133195—21no—
312#13133195—21no—
313#13133195—21no—
314#13133194—21no—
315#13133194—21no—
316#13133193—21no—
317#13133193—21no—
318#13133193—21no—
319#13133193D411yescharacteristic
320#13133193D411yescharacteristic
321#13133193C2311yescharacteristic
322#13133193C2311yescharacteristic
323#13133192—21no—
324#13133192—21no—
325#13133192—21no—
326#13133192—21no—
327#13133192C2311yescharacteristic
328#13133192C2311yescharacteristic
329#13133192C2311yescharacteristic
330#13133192C2311yescharacteristic
331#13133192C2311yescharacteristic
332#13133191—21no—
333#13133191—21no—
334#13133191—21no—
335#13133191C2311yescharacteristic
336#13133191C2311yescharacteristic
337#13133190—21no—
338#13133190—21no—
339#13133190—21no—
340#13133190—21no—
341#13133190—21no—
342#13133190—21no—
343#13133190—21no—
344#13133190—21no—
345#13133190—21no—
346#13133189—21no—
347#13133189—21no—
348#13133189—21no—
349#13133189—21no—
350#13133188—21no—
351#13133188D411yescharacteristic
352#13133188D411yescharacteristic
353#13133187—21no—
354#13133187—21no—
355#13133187—21no—
356#13133187—21no—
357#13133187—21no—
358#13133185—21no—
359#13133185—21no—
360#13133185—21no—
361#13133185—21no—
362#13133185D411yescharacteristic
363#13133185D411yescharacteristic
364Q8×Dic53C2311yescharacteristic
365Q8×Dic53C2311yescharacteristic
366C4×Dic106—21no—
367#13133182C2311yescharacteristic
368#13133182C2311yescharacteristic
369#13133182C2311yescharacteristic
370C4×D212—21no—
371#13133179—21no—
372#13133179—21no—
373#13133179—21no—
374#13133179—21no—
375#13133179C2311yescharacteristic
376#13133179C2311yescharacteristic
377#13133179C2311yescharacteristic
378C4×C22⋊D53—21no—
379C4×C22⋊D53—21no—
380C4×C22⋊D53—21no—
381C4×C22⋊D53—21no—
382C4×C22⋊D53C2311yescharacteristic
383C4×C22⋊D53C2311yescharacteristic
384C4×C22⋊D53C2311yescharacteristic
385C4×C22⋊D53C2311yescharacteristic
386#13133177—21no—
387#13133177—21no—
388#13133177—21no—
389#13133177—21no—
390#13133176C2311yescharacteristic
391#13133175—21no—
392#13133175C2311yescharacteristic
393#13133173—21no—
394C2×C4⋊Dic53C2311yescharacteristic
395C4⋊C4×D53—21no—
396C4⋊C4×D53—21no—
397C4⋊C4×D53—21no—
398C4⋊C4×D53C2311yescharacteristic
399C2×#11719921—21no—
400C22⋊C4×D53—21no—
401C22⋊C4×D53—21no—
402C22⋊C4×D53—21no—
403#13133148C2311yescharacteristic
404#13133148C2311yescharacteristic
405#13133148C2311yescharacteristic
406#13133148C2311yescharacteristic
407#13133146C2311yescharacteristic
408#13133146C2311yescharacteristic
409#13133146C2311yescharacteristic
410#13133146C2311yescharacteristic
411#13133142C2311yescharacteristic
412#13133142C2311yescharacteristic
413#13133141C2311yescharacteristic
414#13133141C2311yescharacteristic
415#13133140C2311yescharacteristic
416#13133140C2311yescharacteristic
417#13133140C2311yescharacteristic
418#13133140C2311yescharacteristic
419#13133139C2311yescharacteristic
420#13133139C2311yescharacteristic
421#13133139C2311yescharacteristic
422#13133139C2311yescharacteristic
423#13133139C2311yescharacteristic
424#13133139C2311yescharacteristic
425#13133138C2311yescharacteristic
426#13133138C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429#13133137C2311yescharacteristic
430#13133137C2311yescharacteristic
431#13133137C2311yescharacteristic
432#13133137C2311yescharacteristic
433#13133137C2311yescharacteristic
434#13133137C2311yescharacteristic
435C22⋊#88322C2311yescharacteristic
436C22⋊#88322C2311yescharacteristic
437C22⋊#88322C2311yescharacteristic
438C22⋊#88322C2311yescharacteristic
439#13133129C2311yescharacteristic
440#13133129C2311yescharacteristic
441#13133129C2311yescharacteristic
442#13133129C2311yescharacteristic
443#13133127C2311yescharacteristic
444#13133127C2311yescharacteristic
445C8×Dic53C2311yescharacteristic
446C8×Dic53C2311yescharacteristic
447C2×#41×C53C2311yescharacteristic
448C2×#41×C53C2311yescharacteristic
449C22×Q8×C53C2311yescharacteristic
450C2×Q16×C53C2311yescharacteristic
451C2×Q16×C53C2311yescharacteristic
452C2×SD16×C53C2311yescharacteristic
453C2×SD16×C53C2311yescharacteristic
454C2×M16×C53C2311yescharacteristic
455C22×C8×C53C2311yescharacteristic
456C4⋊Q8×C53—21no—
457#124×C53—21no—
458#123×C53—21no—
459#123×C53—21no—
460C22⋊Q8×C53—21no—
461C22⋊Q8×C53C2311yescharacteristic
462C22⋊Q8×C53C2311yescharacteristic
463C22⋊Q8×C53C2311yescharacteristic
464C22⋊Q8×C53C2311yescharacteristic
465C22⋊Q8×C53C2311yescharacteristic
466C22⋊Q8×C53C2311yescharacteristic
467#121×C53—21no—
468#121×C53—21no—
469#121×C53—21no—
470#121×C53C2311yescharacteristic
471#121×C53C2311yescharacteristic
472#117×C53C2311yescharacteristic
473C2×C4⋊C4×C53C2311yescharacteristic
474#107×C53C2311yescharacteristic
475#107×C53C2311yescharacteristic
476#106×C53C2311yescharacteristic
477#106×C53C2311yescharacteristic
478#103×C53C2311yescharacteristic
479#103×C53C2311yescharacteristic
480#103×C53C2311yescharacteristic
481#103×C53C2311yescharacteristic
482#103×C53C2311yescharacteristic
483#103×C53C2311yescharacteristic
484#102×C53C2311yescharacteristic
485#102×C53C2311yescharacteristic
486C22⋊C8×C53C2311yescharacteristic
487C22⋊C8×C53C2311yescharacteristic
488C22⋊C8×C53C2311yescharacteristic
489C22⋊C8×C53C2311yescharacteristic
490C23×D53—21no—
491C23×D53—21no—
492C23×D53—21no—
493C23×D53—21no—
494C23×D53C2×D411yescharacteristic
495#41×C53—41no—
496#41×C53—41no—
497#41×C53—41no—
498#41×C53—41no—
499C2×Q8×C53—21no—
500C2×Q8×C53—41no—
501C2×Q8×C53—41no—
502C2×Q8×C53C2×D411yescharacteristic
503C2×Q8×C53C2411yescharacteristic
504C2×Q8×C53C2411yescharacteristic
505C2×Q8×C53C2411yescharacteristic
506C2×D4×C53—21no—
507C2×D4×C53—21no—
508C2×D4×C53—21no—
509C2×D4×C53C2×D411yescharacteristic
510C2×D4×C53C2×D411yescharacteristic
511C2×D4×C53C2×D411yescharacteristic
512C2×D4×C53C2411yescharacteristic
513C22×C4×C53—21no—
514C22×C4×C53—21no—
515C22×C4×C53—21no—
516C22×C4×C53C2411yescharacteristic
517C22×C4×C53C2411yescharacteristic
518C22×C4×C53C2411yescharacteristic
519C2×C22⋊D53—21no—
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⋊D53C2×D411yescharacteristic
532C2×C22⋊D53C2×D411yescharacteristic
533C2×C22⋊D53C2×D411yescharacteristic
534C2×C22⋊D53C2×D411yescharacteristic
535C22×Dic53—21no—
536C22×Dic53—21no—
537C22×Dic53C2×D411yescharacteristic
538#11719949—22no—
539#11719949—41no—
540#11719949—44no—
541#11719949—41no—
542#11719949—41no—
543Q8×D53—22no—
544Q8×D53—41no—
545Q8×D53—41no—
546Q8×D53—41no—
547#11719947—22no—
548#11719947—41no—
549#11719947—44no—
550D4×D53—22no—
551D4×D53—41no—
552D4×D53—44no—
553D4×D53—44no—
554D4×D53—44no—
555D4×D53—44no—
556D4×D53—82no—
557D4×D53—82no—
558#11719945—22no—
559#11719945—22no—
560#11719945—22no—
561#11719945—22no—
562#11719945—41no—
563#11719945—41no—
564#11719945—41no—
565#11719945—41no—
566#11719945—44no—
567C2×D212—22no—
568C2×D212—22no—
569C2×D212—21no—
570C2×D212—21no—
571C2×D212—21no—
572C2×D212—21no—
573C2×D212—21no—
574C2×D212—21no—
575C2×D212—21no—
576C2×D212—21no—
577C2×D212—21no—
578C2×D212—21no—
579C2×D212—41no—
580C2×D212—41no—
581C2×D212—41no—
582C2×D212—41no—
583C2×D212—82no—
584C2×D212C2411yescharacteristic
585C2×D212C2411yescharacteristic
586C2×D212C2411yescharacteristic
587C2×D212C2411yescharacteristic
588C2×C4×D53—21no—
589C2×C4×D53—21no—
590C2×C4×D53—21no—
591C2×C4×D53—21no—
592C2×C4×D53—21no—
593C2×C4×D53—21no—
594C2×C4×D53—21no—
595C2×C4×D53—21no—
596C2×C4×D53—21no—
597C2×C4×D53—21no—
598C2×C4×D53—21no—
599C2×C4×D53—21no—
600C2×C4×D53—41no—
601C2×C4×D53—41no—
602C2×C4×D53—44no—
603C2×C4×D53C2×D411yescharacteristic
604C2×C4×D53C2×D411yescharacteristic
605C2×C4×D53C2411yescharacteristic
606C2×C4×D53C2411yescharacteristic
607C2×Dic106—21no—
608C2×Dic106—21no—
609C2×Dic106—21no—
610C2×Dic106C2411yescharacteristic
611C2×Dic106C2411yescharacteristic
612Q16×C53—41no—
613Q16×C53—41no—
614SD16×C53—41no—
615SD16×C53—41no—
616M16×C53—41no—
617C2×C8×C53—41no—
618C2×C8×C53C2411yescharacteristic
619C2×C8×C53C2411yescharacteristic
620C2×C8×C53C2411yescharacteristic
621C2×C8×C53C2411yescharacteristic
622C4⋊C4×C53—21no—
623C4⋊C4×C53—21no—
624C4⋊C4×C53—21no—
625C4⋊C4×C53—21no—
626C4⋊C4×C53—21no—
627C4⋊C4×C53—21no—
628C4⋊C4×C53—21no—
629C4⋊C4×C53C2411yescharacteristic
630C4⋊C4×C53C2411yescharacteristic
631C4⋊C4×C53C2411yescharacteristic
632C4⋊C4×C53C2411yescharacteristic
633C22⋊C4×C53—21no—
634C22⋊C4×C53—21no—
635C22⋊C4×C53—21no—
636C22⋊C4×C53—21no—
637C22⋊C4×C53—21no—
638C22⋊C4×C53—21no—
639C22⋊C4×C53—21no—
640C22⋊C4×C53—21no—
641C22⋊C4×C53—21no—
642C42×C53—21no—
643C22⋊Dic53—21no—
644C22⋊Dic53—21no—
645C22⋊Dic53C2×D411yescharacteristic
646C22⋊Dic53C2×D411yescharacteristic
647C22⋊Dic53C2×D411yescharacteristic
648C22⋊Dic53C2×D411yescharacteristic
649C22⋊Dic53C2×D411yescharacteristic
650C22⋊Dic53C2×D411yescharacteristic
651#11719925—22no—
652#11719925—22no—
653#11719925—41no—
654#11719924—22no—
655#11719924—22no—
656#11719924—41no—
657#11719924—41no—
658#11719924—41no—
659#11719924—41no—
660#11719924—41no—
661#11719923—41no—
662#11719922—41no—
663#11719921—21no—
664#11719921—21no—
665#11719921—21no—
666#11719921—21no—
667#11719921—21no—
668#11719921—21no—
669#11719921—21no—
670#11719921—21no—
671#11719921—21no—
672#11719921—21no—
673#11719921—21no—
674#11719921—21no—
675#11719921—21no—
676#11719921—21no—
677#11719921—21no—
678#11719921—21no—
679#11719921—21no—
680#11719921—21no—
681#11719921—21no—
682#11719921—21no—
683#11719921C2×D411yescharacteristic
684#11719921C2×D411yescharacteristic
685#11719921C2×D411yescharacteristic
686#11719921C2×D411yescharacteristic
687C4⋊Dic53—21no—
688C4⋊Dic53—21no—
689C4⋊Dic53—21no—
690C4⋊Dic53—21no—
691C4⋊Dic53—21no—
692C4⋊Dic53C2×D411yescharacteristic
693C4⋊Dic53C2×D411yescharacteristic
694C4⋊Dic53C2411yescharacteristic
695C4⋊Dic53C2411yescharacteristic
696#11719919—21no—
697#11719919—21no—
698#11719919—21no—
699#11719919—21no—
700#11719919—21no—
701#11719919—21no—
702#11719919—21no—
703#11719919—21no—
704#11719919—21no—
705#11719919—21no—
706#11719919—21no—
707#11719919—21no—
708#11719919C2×D411yescharacteristic
709#11719919C2×D411yescharacteristic
710#11719919C2×D411yescharacteristic
711#11719919C2×D411yescharacteristic
712C4×Dic53—21no—
713C4×Dic53—21no—
714C4×Dic53—21no—
715C4×Dic53—21no—
716C4×Dic53—21no—
717C4×Dic53—21no—
718C4×Dic53C2411yescharacteristic
719C4×Dic53C2411yescharacteristic
720#11719917—41no—
721C2×#88322—41no—
722C2×#88322C2411yescharacteristic
723C2×#88322C2411yescharacteristic
724C2×#88322C2411yescharacteristic
725C2×#88322C2411yescharacteristic
726Dic212—22no—
727D424—22no—
728D424—41no—
729D424—41no—
730#11719913—22no—
731#11719913—22no—
732#11719913—41no—
733#11719913—41no—
734C8×D53—41no—
735C8×D53—41no—
736C8×D53—41no—
737C8×D53—41no—
738C23×C53—21no—
739C23×C53C22×D411yescharacteristic
740C23×C53C22×D411yescharacteristic
741C23×C53C22×D411yescharacteristic
742C22×D53—21no—
743C22×D53—22no—
744C22×D53—21no—
745C22×D53—21no—
746C22×D53—21no—
747C22×D53—41no—
748C22×D53—41no—
749C22×D53—42no—
750C22×D53—42no—
751C22×D53—42no—
752C22×D53—42no—
753C22×D53—42no—
754C22×D53—81no—
755C22×D53—81no—
756C22×D53—81no—
757C22×D53—81no—
758C22×D53—81no—
759C22×D53—81no—
760C22×D53—81no—
761C22×D53C22×D411yescharacteristic
762C22×D53C22×D411yescharacteristic
763Q8×C53—21no—
764Q8×C53—21no—
765Q8×C53—21no—
766Q8×C53—21no—
767Q8×C53—21no—
768Q8×C53—21no—
769Q8×C53—41no—
770Q8×C53—81no—
771D4×C53—21no—
772D4×C53—21no—
773D4×C53—41no—
774D4×C53—41no—
775D4×C53—41no—
776D4×C53—42no—
777D4×C53—81no—
778D4×C53—81no—
779C2×C4×C53—21no—
780C2×C4×C53—21no—
781C2×C4×C53—21no—
782C2×C4×C53—21no—
783C2×C4×C53—21no—
784C2×C4×C53—21no—
785C2×C4×C53—21no—
786C2×C4×C53—21no—
787C2×C4×C53—21no—
788C2×C4×C53—21no—
789C2×C4×C53—21no—
790C2×C4×C53—21no—
791C2×C4×C53—21no—
792C2×C4×C53—42no—
793C2×C4×C53—81no—
794C2×C4×C53—81no—
795C2×C4×C53C22×D411yescharacteristic
796C2×C4×C53C22×D411yescharacteristic
797C2×C4×C53C22×D411yescharacteristic
798C2×C4×C53C2511yescharacteristic
799C22⋊D53—24no—
800C22⋊D53—22no—
801C22⋊D53—22no—
802C22⋊D53—41no—
803C22⋊D53—41no—
804C22⋊D53—42no—
805C22⋊D53—42no—
806C22⋊D53—42no—
807C22⋊D53—42no—
808C22⋊D53—81no—
809C22⋊D53—81no—
810C22⋊D53—81no—
811C22⋊D53—81no—
812C22⋊D53—81no—
813C22⋊D53—81no—
814C22⋊D53—81no—
815C2×Dic53—21no—
816C2×Dic53—21no—
817C2×Dic53—21no—
818C2×Dic53—21no—
819C2×Dic53—41no—
820C2×Dic53—42no—
821C2×Dic53—81no—
822C2×Dic53C22×D411yescharacteristic
823C2×Dic53C22×D411yescharacteristic
824C2×Dic53C22×D411yescharacteristic
825C2×Dic53C22×D411yescharacteristic
826C2×Dic53C22×D411yescharacteristic
827C2×Dic53C22×D411yescharacteristic
828D212—21no—
829D212—21no—
830D212—21no—
831D212—21no—
832D212—21no—
833D212—21no—
834D212—21no—
835D212—42no—
836D212—42no—
837D212—42no—
838D212—42no—
839D212—42no—
840D212—42no—
841D212—42no—
842D212—81no—
843D212—81no—
844D212—81no—
845D212H(5,𝔽2)12yes—
846C4×D53—24no—
847C4×D53—21no—
848C4×D53—21no—
849C4×D53—21no—
850C4×D53—21no—
851C4×D53—41no—
852C4×D53—41no—
853C4×D53—42no—
854C4×D53—42no—
855C4×D53—42no—
856C4×D53—42no—
857C4×D53—81no—
858C4×D53—81no—
859C4×D53—81no—
860C4×D53—81no—
861C4×D53—81no—
862C4×D53—81no—
863C4×D53—81no—
864Dic106—21no—
865Dic106—21no—
866Dic106—21no—
867Dic106—42no—
868Dic106—81no—
869Dic106—81no—
870Dic106H(5,𝔽2)12yes—
871C8×C53—21no—
872C8×C53—21no—
873C8×C53—21no—
874C8×C53—21no—
875#88322—21no—
876#88322—21no—
877#88322—21no—
878#88322—21no—
879#61640—531nomaximal, Sylow
880C22×C53—21no—
881C22×C53—21no—
882C22×C53—21no—
883C22×C53—21no—
884C22×C53—21no—
885C22×C53—21no—
886C22×C53—21no—
887C22×C53—21no—
888C22×C53—21no—
889C22×C53—41no—
890C22×C53—41no—
891C22×C53—41no—
892C22×C53C23×D411yescharacteristic
893C2×D53—21no—
894C2×D53—21no—
895C2×D53—21no—
896C2×D53—22no—
897C2×D53—21no—
898C2×D53—21no—
899C2×D53—41no—
900C2×D53—41no—
901C2×D53—41no—
902C2×D53—41no—
903C2×D53—41no—
904C2×D53—41no—
905C2×D53—41no—
906C2×D53—41no—
907C2×D53—41no—
908C2×D53—41no—
909C2×D53—41no—
910C2×D53—82no—
911C2×D53—84no—
912C2×D53—162no—
913C2×D53—162no—
914C2×D53—162no—
915C2×D53#57712yes—
916C4×C53—21no—
917C4×C53—21no—
918C4×C53—21no—
919C4×C53—41no—
920C4×C53—41no—
921C4×C53—41no—
922C4×C53—41no—
923C4×C53—41no—
924C4×C53—41no—
925C4×C53—41no—
926C4×C53C2×H(5,𝔽2)11yescharacteristic
927C4×C53C2×H(5,𝔽2)11yescharacteristic
928Dic53—21no—
929Dic53—21no—
930Dic53—22no—
931Dic53—21no—
932Dic53—21no—
933Dic53—21no—
934Dic53—21no—
935Dic53—41no—
936Dic53—41no—
937Dic53—41no—
938#3541—531no—
939#3488—531no—
940#3318—531no—
941#3317—531no—
942#3316—531no—
943#3311—531no—
944#3304—531no—
945#3301—531no—
946#3296—531no—
947#3295—531no—
948#3285—531no—
949#3284—531no—
950#3282—531no—
951D4×SD16—531no—
952#3271—531no—
953#3270—531no—
954#3267—531no—
955#3265—531no—
956#3224—531no—
957#3222—531no—
958#3204—531no—
959#3201D5311yescharacteristic, complemented
960#3188—531no—
961#3187—531no—
962#3125—531no—
963#3120—531no—
964#3012—531no—
965#3009—531no—
966#3002—531no—
967C2×#452—531no—
968#2977—531no—
969C2×C53—41no—
970C2×C53—41no—
971C2×C53—41no—
972C2×C53—81no—
973C2×C53#348411yescharacteristic
974C2×C53C2×#57711yescharacteristic
975C2×C53#358411yescharacteristic
976D53—22no—
977D53—41no—
978D53—42no—
979D53—81no—
980D53—81no—
981D53—81no—
982C2×H(5,𝔽2)—531no—
983C22×#41—531no—
984C2×#137—531no—
985C2×AGL(1,ℤ/8)—531no—
986C2×#135—531no—
987C2×#135—531no—
988C2×#135—531no—
989C22×Q16—531no—
990C22×SD16—531no—
991C22×SD16—531no—
992#563—1061no—
993#562—1061no—
994#556—531no—
995#554—531no—
996#554—1061no—
997#553—531no—
998#553—1061no—
999#552—531no—
1000#550—531no—
1001#550—531no—
1002D4×Q8—531no—
1003#548—531no—
1004#548—531no—
1005#548—531no—
1006#548—531no—
1007#547—531no—
1008#546—531no—
1009#546—531no—
1010#546—1061no—
1011#546—1061no—
1012D42—531no—
1013D42—531no—
1014D42—1061no—
1015D42—1061no—
1016#542—531no—
1017#542—1061no—
1018#541—531no—
1019#539—1061no—
1020#538—1061no—
1021#538—1061no—
1022#537—531no—
1023#537—1061no—
1024#537C2×D5311yescharacteristic
1025#536C2×D5311yescharacteristic, complemented
1026#535—531no—
1027#535—1061no—
1028#525—531no—
1029#525—531no—
1030#525—1061no—
1031C2×C22⋊Q8—531no—
1032C2×#121—531no—
1033C2×#121—1061no—
1034#520—531no—
1035#497—531no—
1036#496—531no—
1037#495—531no—
1038#492—531no—
1039#490—531no—
1040#489—531no—
1041#488—531no—
1042#486—531no—
1043#485C2×D5311yescharacteristic, complemented
1044#484C2×D5311yescharacteristic, complemented
1045#483—531no—
1046#483—531no—
1047#483C2×D5311yescharacteristic, complemented
1048#482—531no—
1049#482—531no—
1050#482C2×D5311yescharacteristic, complemented
1051#481—531no—
1052#481—531no—
1053#481—531no—
1054#481—531no—
1055#479—531no—
1056#478—531no—
1057#476—531no—
1058#475—531no—
1059#470—531no—
1060#470C2×D5311yescharacteristic, complemented
1061#469—531no—
1062#468C2×D5311yescharacteristic, complemented
1063#467C2×D5311yescharacteristic, complemented
1064#466—531no—
1065#466—531no—
1066#465—531no—
1067#465—531no—
1068#465—531no—
1069#465—531no—
1070#465—531no—
1071#465—531no—
1072#465—531no—
1073#465—531no—
1074#465C2×D5311yescharacteristic, complemented
1075#464—531no—
1076#464—531no—
1077#464—531no—
1078#464—531no—
1079#463—531no—
1080#463—531no—
1081#462—531no—
1082#461—531no—
1083#460—531no—
1084#460—531no—
1085#460—531no—
1086#459—531no—
1087#452—531no—
1088#452—531no—
1089#452—531no—
1090#452—531no—
1091#452—531no—
1092#452—531no—
1093#452—531no—
1094#452—531no—
1095#452—531no—
1096#452—531no—
1097#452—531no—
1098#452—531no—
1099#452C2×D5311yescharacteristic, complemented
1100#452C2×D5311yescharacteristic, complemented
1101#451—531no—
1102#451C2×D5311yescharacteristic, complemented
1103#450—531no—
1104#450—531no—
1105#450—531no—
1106#450—531no—
1107#450—531no—
1108#450—531no—
1109#450—531no—
1110#449—531no—
1111#449—531no—
1112#449—531no—
1113#449—531no—
1114#449—531no—
1115#449—531no—
1116#448—531no—
1117#448—531no—
1118#448—531no—
1119#448C2×D5311yescharacteristic, complemented
1120#447—531no—
1121#447—531no—
1122#447—531no—
1123#442—531no—
1124#441—531no—
1125#441—531no—
1126#440—531no—
1127C4×Q16—531no—
1128C4×SD16—531no—
1129C4×SD16—531no—
1130C4×SD16—531no—
1131#435—531no—
1132#435—531no—
1133#435—531no—
1134#435—531no—
1135C8×D4—531no—
1136C8×D4—531no—
1137C8×D4—531no—
1138C8×D4—531no—
1139#433—531no—
1140#433—531no—
1141#418—531no—
1142#417—531no—
1143#416—531no—
1144#416—531no—
1145#416—531no—
1146C2×#103—531no—
1147C2×#102—531no—
1148C2×#102—531no—
1149#408—531no—
1150#408C2×D5311yescharacteristic, complemented
1151C2×C22⋊C8—531no—
1152C2×C22⋊C8—531no—
1153C53#6164011yescharacteristic, complemented, Sylow
1154H(5,𝔽2)—2122no—
1155H(5,𝔽2)—2122no—
1156C2×#41—531no—
1157C2×#41—531no—
1158C2×#41—531no—
1159C2×#41—531no—
1160C2×#41—531no—
1161C2×#41—531no—
1162C2×#41—531no—
1163C2×#41—1061no—
1164C2×#41—1061no—
1165C2×#41—1061no—
1166C2×#41—2122no—
1167C2×#41—2122no—
1168C2×#41C22×D5311yescharacteristic
1169C2×#41C22×D5311yescharacteristic
1170C22×Q8—531no—
1171C22×Q8—531no—
1172C22×Q8C22×D5311yescharacteristic
1173C22×D4—531no—
1174C22×D4—531no—
1175C22×D4—531no—
1176C22×D4—531no—
1177C22×D4—1061no—
1178C22×D4—1061no—
1179C22×D4—1061no—
1180C22×D4—1061no—
1181C22×D4—1061no—
1182C22×D4—1061no—
1183C22×D4—1061no—
1184C23×C4—531no—
1185C23×C4—1061no—
1186#137—2122no—
1187AGL(1,ℤ/8)—2122no—
1188#135—2122no—
1189#135—2122no—
1190#135—2122no—
1191C2×Q16—531no—
1192C2×Q16—531no—
1193C2×Q16—531no—
1194C2×Q16—531no—
1195C2×Q16—2122no—
1196C2×Q16C22×D5311yescharacteristic
1197C2×Q16C22×D5311yescharacteristic
1198C2×SD16—531no—
1199C2×SD16—531no—
1200C2×SD16—531no—
1201C2×SD16—531no—
1202C2×SD16—531no—
1203C2×SD16—531no—
1204C2×SD16—531no—
1205C2×SD16—531no—
1206C2×SD16—531no—
1207C2×SD16—531no—
1208C2×SD16—531no—
1209C2×SD16—531no—
1210C2×SD16—2122no—
1211C2×SD16—2122no—
1212C2×SD16C22×D5311yescharacteristic
1213C2×SD16C22×D5311yescharacteristic
1214C2×D8—531no—
1215C2×D8—531no—
1216C2×D8—531no—
1217C2×D8—531no—
1218C2×M16—531no—
1219C2×M16C22×D5311yescharacteristic
1220C22×C8—531no—
1221C22×C8—531no—
1222C22×C8—531no—
1223C22×C8—531no—
1224C22×C8—531no—
1225C22×C8C22×D5311yescharacteristic
1226C4⋊Q8—21no—
1227C4⋊Q8—531no—
1228C4⋊Q8—531no—
1229C4⋊Q8—1061no—
1230#127—531no—
1231#127—531no—
1232#127—1061no—
1233#127—1061no—
1234#126—1061no—
1235#126—1061no—
1236#126—1061no—
1237#126—1061no—
1238#126—1061no—
1239#126—1061no—
1240#126—1061no—
1241#125—531no—
1242#125—1061no—
1243#125—1061no—
1244#125—1061no—
1245#125—1061no—
1246#124—21no—
1247#124—531no—
1248#124—531no—
1249#124—531no—
1250#124—1061no—
1251#124—1061no—
1252#124—1061no—
1253#124—1061no—
1254#124—1061no—
1255#124—1061no—
1256#123—21no—
1257#123—21no—
1258#123—531no—
1259#123—531no—
1260#123—1061no—
1261#123—1061no—
1262#123—1061no—
1263#123—1061no—
1264#123—1061no—
1265#123—1061no—
1266#123—1061no—
1267#123—1061no—
1268C22⋊Q8—21no—
1269C22⋊Q8—531no—
1270C22⋊Q8—531no—
1271C22⋊Q8—531no—
1272C22⋊Q8—531no—
1273C22⋊Q8—531no—
1274C22⋊Q8—531no—
1275C22⋊Q8—531no—
1276C22⋊Q8—1061no—
1277C22⋊Q8—1061no—
1278C22⋊Q8—1061no—
1279C22⋊Q8—1061no—
1280C22⋊Q8—1061no—
1281C22⋊Q8—1061no—
1282C22⋊Q8—1061no—
1283C22⋊Q8—1061no—
1284C22⋊Q8—1061no—
1285C22⋊Q8—1061no—
1286C22⋊Q8—1061no—
1287C22⋊Q8—1061no—
1288C22⋊Q8C22×D5311yescharacteristic
1289C22⋊Q8C22×D5311yescharacteristic
1290C22⋊Q8C22×D5311yescharacteristic
1291C22⋊Q8C22×D5311yescharacteristic
1292C22⋊Q8C22×D5311yescharacteristic
1293C22⋊Q8C22×D5311yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—531no—
1298#121—531no—
1299#121—531no—
1300#121—531no—
1301#121—531no—
1302#121—531no—
1303#121—531no—
1304#121—531no—
1305#121—531no—
1306#121—1061no—
1307#121—1061no—
1308#121—1061no—
1309#121—1061no—
1310#121—1061no—
1311#121—1061no—
1312#121—1061no—
1313#121—1061no—
1314#121—1061no—
1315#121—1061no—
1316#121—1061no—
1317#121—1061no—
1318#121—1061no—
1319#121—1061no—
1320#121—1061no—
1321#121—1061no—
1322#121—1061no—
1323#121—1061no—
1324#121—1061no—
1325#121—1061no—
1326#121—1061no—
1327#121C22×D5311yescharacteristic
1328#121C22×D5311yescharacteristic
1329#120—531no—
1330#120—531no—
1331#120—1061no—
1332#120—1061no—
1333#120—1061no—
1334#120—1061no—
1335#120—1061no—
1336#120—1061no—
1337#120—1061no—
1338#120—1061no—
1339#120—1061no—
1340C4×Q8—531no—
1341C4×Q8—531no—
1342C4×Q8—531no—
1343C4×Q8—531no—
1344C4×Q8—531no—
1345C4×Q8—1061no—
1346C4×D4—531no—
1347C4×D4—531no—
1348C4×D4—531no—
1349C4×D4—531no—
1350C4×D4—531no—
1351C4×D4—531no—
1352C4×D4—531no—
1353C4×D4—1061no—
1354C4×D4—1061no—
1355C4×D4—1061no—
1356C4×D4—1061no—
1357C4×D4—1061no—
1358C4×D4—1061no—
1359C4×D4—1061no—
1360C4×D4—1061no—
1361C4×D4—1061no—
1362C4×D4—1061no—
1363C4×D4—1061no—
1364C4×D4—1061no—
1365C4×D4—1061no—
1366#117—531no—
1367#117—531no—
1368#117—1061no—
1369#117—1061no—
1370#117C22×D5311yescharacteristic
1371C2×C4⋊C4—531no—
1372C2×C4⋊C4—531no—
1373C2×C4⋊C4—1061no—
1374C2×C4⋊C4—1061no—
1375C2×C4⋊C4—1061no—
1376C2×C4⋊C4C22×D5311yescharacteristic
1377C2×C22⋊C4—1061no—
1378C2×C22⋊C4—1061no—
1379C2×C22⋊C4—1061no—
1380C2×C22⋊C4—1061no—
1381#107C22×D5311yescharacteristic
1382#107C22×D5311yescharacteristic
1383#106—531no—
1384#106—531no—
1385#106—531no—
1386#106—531no—
1387#106C22×D5311yescharacteristic
1388#106C22×D5311yescharacteristic
1389C4⋊C8—531no—
1390C4⋊C8—531no—
1391C4⋊C8—531no—
1392C4⋊C8—531no—
1393#103—531no—
1394#103—531no—
1395#103—531no—
1396#103—531no—
1397#103—531no—
1398#103—531no—
1399#103—531no—
1400#103—531no—
1401#103C22×D5311yescharacteristic
1402#103C22×D5311yescharacteristic
1403#103C22×D5311yescharacteristic
1404#103C22×D5311yescharacteristic
1405#103C22×D5311yescharacteristic
1406#103C22×D5311yescharacteristic
1407#102—531no—
1408#102—531no—
1409#102—531no—
1410#102—531no—
1411#102—531no—
1412#102—531no—
1413#102—531no—
1414#102—531no—
1415#102—531no—
1416#102—531no—
1417#102—531no—
1418#102—531no—
1419#102—531no—
1420#102—531no—
1421#102—531no—
1422#102—531no—
1423#102C22×D5311yescharacteristic
1424#102C22×D5311yescharacteristic
1425C22⋊C8—531no—
1426C22⋊C8—531no—
1427C22⋊C8—531no—
1428C22⋊C8—531no—
1429C22⋊C8—531no—
1430C22⋊C8—531no—
1431C22⋊C8—531no—
1432C22⋊C8—531no—
1433C22⋊C8C22×D5311yescharacteristic
1434C22⋊C8C22×D5311yescharacteristic
1435C22⋊C8C22×D5311yescharacteristic
1436C22⋊C8C22×D5311yescharacteristic
1437#97—531no—
1438#97—531no—
1439C4×C8—531no—
1440C4×C8—531no—
1441C24—531no—
1442C24—1061no—
1443C24—1061no—
1444C24—1061no—
1445C24—1061no—
1446#41—41no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—1062no—
1451#41—1062no—
1452#41—1062no—
1453#41—1062no—
1454#41—1062no—
1455#41—1062no—
1456#41—2121no—
1457#41—2121no—
1458#41—2121no—
1459#41—2121no—
1460#41—2124no—
1461#41—2121no—
1462#41—2121no—
1463#41—2121no—
1464#41—2121no—
1465#41—2124no—
1466#41—2124no—
1467C2×Q8—21no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—531no—
1471C2×Q8—531no—
1472C2×Q8—1061no—
1473C2×Q8—1061no—
1474C2×Q8—1061no—
1475C2×Q8—1062no—
1476C2×Q8—2121no—
1477C2×Q8—2121no—
1478C2×Q8—2121no—
1479C2×Q8D4×D5311yescharacteristic
1480C2×Q8C23×D5311yescharacteristic
1481C2×Q8C23×D5311yescharacteristic
1482C2×Q8C23×D5311yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—531no—
1487C2×D4—531no—
1488C2×D4—531no—
1489C2×D4—531no—
1490C2×D4—531no—
1491C2×D4—531no—
1492C2×D4—531no—
1493C2×D4—531no—
1494C2×D4—1062no—
1495C2×D4—1062no—
1496C2×D4—1061no—
1497C2×D4—1061no—
1498C2×D4—1061no—
1499C2×D4—1061no—
1500C2×D4—1061no—
1501C2×D4—1061no—
1502C2×D4—1061no—
1503C2×D4—1061no—
1504C2×D4—1061no—
1505C2×D4—1061no—
1506C2×D4—1061no—
1507C2×D4—1061no—
1508C2×D4—1062no—
1509C2×D4—1061no—
1510C2×D4—1061no—
1511C2×D4—1061no—
1512C2×D4—1061no—
1513C2×D4—1061no—
1514C2×D4—1061no—
1515C2×D4—1061no—
1516C2×D4—1061no—
1517C2×D4—1061no—
1518C2×D4—1061no—
1519C2×D4—4242no—
1520C2×D4—4242no—
1521C2×D4—4242no—
1522C2×D4—2121no—
1523C2×D4—2121no—
1524C2×D4—2121no—
1525C2×D4—2121no—
1526C2×D4—2121no—
1527C2×D4—2124no—
1528C2×D4—2124no—
1529C2×D4—2124no—
1530C2×D4—2124no—
1531C2×D4D4×D5311yescharacteristic
1532C2×D4D4×D5311yescharacteristic
1533C2×D4D4×D5311yescharacteristic
1534C2×D4C23×D5311yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—531no—
1539C22×C4—531no—
1540C22×C4—531no—
1541C22×C4—531no—
1542C22×C4—531no—
1543C22×C4—1061no—
1544C22×C4—1061no—
1545C22×C4—1061no—
1546C22×C4—1061no—
1547C22×C4—1061no—
1548C22×C4—1061no—
1549C22×C4—1061no—
1550C22×C4—1061no—
1551C22×C4—1061no—
1552C22×C4—1061no—
1553C22×C4—1061no—
1554C22×C4—1061no—
1555C22×C4—1061no—
1556C22×C4—1061no—
1557C22×C4—2121no—
1558C22×C4—2121no—
1559C22×C4—2124no—
1560C22×C4C23×D5311yescharacteristic
1561C22×C4C23×D5311yescharacteristic
1562C22×C4C23×D5311yescharacteristic
1563Q16—41no—
1564Q16—41no—
1565Q16—1062no—
1566Q16—1062no—
1567Q16—1062no—
1568Q16—2121no—
1569SD16—41no—
1570SD16—41no—
1571SD16—1062no—
1572SD16—1062no—
1573SD16—1062no—
1574SD16—1062no—
1575SD16—2121no—
1576SD16—2121no—
1577SD16—2121no—
1578SD16—2121no—
1579SD16—2121no—
1580SD16—2121no—
1581SD16—2121no—
1582SD16—2121no—
1583D8—1062no—
1584D8—2121no—
1585D8—2121no—
1586D8—2121no—
1587M16—41no—
1588M16—2121no—
1589C2×C8—41no—
1590C2×C8—531no—
1591C2×C8—531no—
1592C2×C8—531no—
1593C2×C8—531no—
1594C2×C8—2121no—
1595C2×C8—2121no—
1596C2×C8—2121no—
1597C2×C8—2121no—
1598C2×C8—2121no—
1599C2×C8C23×D5311yescharacteristic
1600C2×C8C23×D5311yescharacteristic
1601C2×C8C23×D5311yescharacteristic
1602C2×C8C23×D5311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—531no—
1611C4⋊C4—531no—
1612C4⋊C4—531no—
1613C4⋊C4—531no—
1614C4⋊C4—531no—
1615C4⋊C4—531no—
1616C4⋊C4—531no—
1617C4⋊C4—531no—
1618C4⋊C4—1061no—
1619C4⋊C4—1061no—
1620C4⋊C4—1061no—
1621C4⋊C4—1061no—
1622C4⋊C4—1061no—
1623C4⋊C4—1061no—
1624C4⋊C4—1061no—
1625C4⋊C4—1061no—
1626C4⋊C4—1061no—
1627C4⋊C4—1061no—
1628C4⋊C4—1061no—
1629C4⋊C4—1061no—
1630C4⋊C4—1061no—
1631C4⋊C4—1061no—
1632C4⋊C4—1061no—
1633C4⋊C4—1061no—
1634C4⋊C4—1061no—
1635C4⋊C4C23×D5311yescharacteristic
1636C4⋊C4C23×D5311yescharacteristic
1637C4⋊C4C23×D5311yescharacteristic
1638C4⋊C4C23×D5311yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—531no—
1649C22⋊C4—531no—
1650C22⋊C4—531no—
1651C22⋊C4—531no—
1652C22⋊C4—531no—
1653C22⋊C4—531no—
1654C22⋊C4—531no—
1655C22⋊C4—531no—
1656C22⋊C4—531no—
1657C22⋊C4—531no—
1658C22⋊C4—1061no—
1659C22⋊C4—1061no—
1660C22⋊C4—1061no—
1661C22⋊C4—1061no—
1662C22⋊C4—1061no—
1663C22⋊C4—1061no—
1664C22⋊C4—1061no—
1665C22⋊C4—1061no—
1666C22⋊C4—1061no—
1667C22⋊C4—1061no—
1668C22⋊C4—1061no—
1669C22⋊C4—1061no—
1670C22⋊C4—1061no—
1671C22⋊C4—1061no—
1672C22⋊C4—1061no—
1673C22⋊C4—1061no—
1674C22⋊C4—1061no—
1675C22⋊C4—1061no—
1676C22⋊C4—1061no—
1677C22⋊C4—1061no—
1678C22⋊C4—1061no—
1679C22⋊C4—1061no—
1680C42—21no—
1681C42—531no—
1682C42—531no—
1683C42—1061no—
1684C42—1061no—
1685C42—1061no—
1686C42—1061no—
1687C42—1061no—
1688C42—1061no—
1689C23—21no—
1690C23—531no—
1691C23—531no—
1692C23—1062no—
1693C23—1061no—
1694C23—1061no—
1695C23—1061no—
1696C23—1061no—
1697C23—4241no—
1698C23—4241no—
1699C23—4241no—
1700C23—4241no—
1701C23—4241no—
1702C23—4241no—
1703C23—4241no—
1704C23—2122no—
1705C23—2122no—
1706C23—2122no—
1707C23—2121no—
1708C23—2121no—
1709C23—2122no—
1710C23—2122no—
1711C23C2×D4×D5311yescharacteristic
1712C23C2×D4×D5311yescharacteristic
1713C23C2×D4×D5311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—41no—
1721Q8—81no—
1722Q8—532no—
1723Q8—1061no—
1724Q8—1061no—
1725Q8—1061no—
1726Q8—4241no—
1727Q8—4241no—
1728Q8—2122no—
1729D4—21no—
1730D4—21no—
1731D4—41no—
1732D4—41no—
1733D4—41no—
1734D4—42no—
1735D4—81no—
1736D4—81no—
1737D4—532no—
1738D4—1062no—
1739D4—1062no—
1740D4—1064no—
1741D4—1061no—
1742D4—1061no—
1743D4—1061no—
1744D4—1061no—
1745D4—1061no—
1746D4—1061no—
1747D4—1061no—
1748D4—4241no—
1749D4—4241no—
1750D4—4241no—
1751D4—4241no—
1752D4—4241no—
1753D4—4241no—
1754D4—4241no—
1755D4—4241no—
1756D4—4241no—
1757D4—4241no—
1758D4—2122no—
1759D4—2122no—
1760D4—2122no—
1761D4—2122no—
1762D4—2122no—
1763D4—2122no—
1764D4—2122no—
1765D4—2121no—
1766D4—2121no—
1767D4—2122no—
1768D4—2122no—
1769D4—2122no—
1770D4—2122no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—42no—
1785C2×C4—81no—
1786C2×C4—81no—
1787C2×C4—531no—
1788C2×C4—531no—
1789C2×C4—531no—
1790C2×C4—531no—
1791C2×C4—531no—
1792C2×C4—531no—
1793C2×C4—1064no—
1794C2×C4—1061no—
1795C2×C4—1061no—
1796C2×C4—1061no—
1797C2×C4—1061no—
1798C2×C4—1061no—
1799C2×C4—1061no—
1800C2×C4—1061no—
1801C2×C4—1061no—
1802C2×C4—4241no—
1803C2×C4—4241no—
1804C2×C4—4241no—
1805C2×C4—4241no—
1806C2×C4—4241no—
1807C2×C4—4241no—
1808C2×C4—4241no—
1809C2×C4—4241no—
1810C2×C4—2121no—
1811C2×C4—2121no—
1812C2×C4—2122no—
1813C2×C4—2122no—
1814C2×C4—2122no—
1815C2×C4—2122no—
1816C2×C4—2121no—
1817C2×C4—2122no—
1818C2×C4C2×D4×D5311yescharacteristic
1819C2×C4C2×D4×D5311yescharacteristic
1820C2×C4C2×D4×D5311yescharacteristic
1821C2×C4C24×D5311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1061no—
1827C8—1061no—
1828C8—1061no—
1829C8—1061no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—532no—
1843C22—8482no—
1844C22—8482no—
1845C22—8482no—
1846C22—1061no—
1847C22—1061no—
1848C22—1062no—
1849C22—1061no—
1850C22—1061no—
1851C22—1061no—
1852C22—4242no—
1853C22—4244no—
1854C22—2121no—
1855C22—2121no—
1856C22—2121no—
1857C22—2121no—
1858C22—2121no—
1859C22—2121no—
1860C22—2121no—
1861C22—2121no—
1862C22—2121no—
1863C22—2121no—
1864C22—2121no—
1865C22C22×D4×D5311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—1061no—
1877C4—1061no—
1878C4—1062no—
1879C4—1061no—
1880C4—1061no—
1881C4—1061no—
1882C4—1061no—
1883C4—2121no—
1884C4—2121no—
1885C4—2121no—
1886C4H(5,𝔽2)×D5311yescharacteristic
1887C4H(5,𝔽2)×D5311yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—81no—
1892C2—1062no—
1893C2—4241no—
1894C2—4241no—
1895C2—4241no—
1896C2—2122no—
1897C2—2121no—
1898C2#2028834711yescharacteristic
1899C2#577×D5311yescharacteristic
1900C2#2028948511yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3201C2
socleC22×C53C23×D4
hypercenter#3201D53
hypocenterC53#61640
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3201

Complements

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

NH ≅ G/Ntype
1. #20289010C2semidirect
2. #20288379C2semidirect
3. #20286859C2semidirect
4. #20286836C2semidirect
5. #20286821C2semidirect
6. #20286754C2semidirect
7. #20286652C2semidirect
8. #20286620C2semidirect
9. #20286556C2semidirect
10. #20286534C2semidirect
11. #20286459C2semidirect
12. #20286442C2semidirect
13. #20286415C2semidirect
14. #20286404C2semidirect
15. #20286303C2semidirect
16. #20286288C2semidirect
17. #20286247C2semidirect
18. #20286217C2semidirect
19. #20285815C2semidirect
20. #20285785C2semidirect
21. #20285621C2semidirect
22. #20285485C2semidirect
23. #20285471C2semidirect
24. #20284987C2semidirect
25. #20284924C2semidirect
26. #20284022C2semidirect
27. #20283990C2semidirect
28. #20283936C2semidirect
29. #452×D53C2semidirect
30. #20283767C2semidirect
31. C53×#3201C2semidirect
34. C2×#13133248C22semidirect
35. C2×#13133245C22semidirect
36. C2×#13133240C22semidirect
37. C2×#13133239C22semidirect
38. C2×#13133238C22semidirect
39. C2×Q16×D53C22semidirect
40. C22×#11719924C22semidirect
41. C2×SD16×D53C22semidirect
44. #16811341C22semidirect
46. #16811331C22semidirect
48. #16811317C22semidirect
49. #16811315C22semidirect
52. Q8×C22⋊D53C22semidirect
53. #16811284C22semidirect
56. #16811283C22semidirect
57. #16811275C22semidirect
66. #16811246C22semidirect
68. #16811233C22semidirect
73. #16811201C22semidirect
77. #16811136C22semidirect
79. C22⋊Q8×D53C22semidirect
83. #16811016C22semidirect
84. #16811009C22semidirect
85. #16811008C22semidirect
86. #16810994C22semidirect
87. #16810986C22semidirect
88. #16810984C22semidirect
89. #16810979C22semidirect
90. #16810968C22semidirect
91. #16810953C22semidirect
92. #16810951C22semidirect
93. #16810950C22semidirect
94. #16810950C22semidirect
95. #16810943C22semidirect
96. #16810943C22semidirect
97. #16810941C22semidirect
98. #16810939C22semidirect
99. #16810929C22semidirect
100. #16810926C22semidirect
101. #16810912C22semidirect
102. #16810907C22semidirect
103. #16810879C22semidirect
104. #16810874C22semidirect
105. #16810860C22semidirect
106. #16810860C22semidirect
107. #16810855C22semidirect
108. #16810855C22semidirect
109. #16810855C22semidirect
110. #16810855C22semidirect
111. #16810854C22semidirect
112. #16810853C22semidirect
113. #16810853C22semidirect
114. #16810850C22semidirect
115. #16810848C22semidirect
116. #16810848C22semidirect
117. #16810847C22semidirect
118. #16810847C22semidirect
119. #16810841C22semidirect
120. #16810841C22semidirect
121. #16810832C22semidirect
122. #16810827C22semidirect
123. #16810822C22semidirect
124. #16810821C22semidirect
125. #16810821C22semidirect
126. #16810817C22semidirect
127. #16810788C22semidirect
129. #16810787C22semidirect
130. #16810786C22semidirect
131. #16810785C22semidirect
132. #16810784C22semidirect
135. #16810783C22semidirect
136. #16810783C22semidirect
137. #16810783C22semidirect
138. #16810782C22semidirect
139. #16810777C22semidirect
140. #16810776C22semidirect
141. #16810776C22semidirect
142. #16810773C22semidirect
143. #16810773C22semidirect
144. #16810773C22semidirect
145. #16810773C22semidirect
146. #16810772C22semidirect
147. #16810771C22semidirect
148. #16810771C22semidirect
150. #16810770C22semidirect
151. #16810768C22semidirect
152. #16810766C22semidirect
153. #16810763C22semidirect
154. #16810763C22semidirect
155. #16810763C22semidirect
156. #16810759C22semidirect
157. #16810759C22semidirect
158. #16810758C22semidirect
159. #16810734C22semidirect
160. #16810727C22semidirect
161. #16810727C22semidirect
162. #16810722C22semidirect
163. #16810717C22semidirect
164. #16810710C22semidirect
165. #16810708C22semidirect
166. #16810708C22semidirect
167. #16810697C22semidirect
168. #16810697C22semidirect
169. #16810692C22semidirect
170. #16810692C22semidirect
171. C8×C22⋊D53C22semidirect
172. C8×C22⋊D53C22semidirect
173. #16810686C22semidirect
174. #16810686C22semidirect
175. #16810681C22semidirect
176. #16810681C22semidirect
177. #16810627C22semidirect
178. #16810625C22semidirect
179. #16810618C22semidirect
180. #16810617C22semidirect
181. #16810616C22semidirect
182. #103×D53C22semidirect
183. C2×#13133139C22semidirect
184. #102×D53C22semidirect
185. #16810590C22semidirect
186. C22⋊C8×D53C22semidirect
187. C22⋊C8×D53C22semidirect
189. C53×#536C22semidirect
190. C53×#485C22semidirect
191. C53×#484C22semidirect
192. C53×#483C22semidirect
193. C53×#482C22semidirect
194. C53×#470C22semidirect
195. C53×#468C22semidirect
196. C53×#467C22semidirect
197. C53×#465C22semidirect
198. C53×#452C22semidirect
199. C53×#452C22semidirect
200. C53×#451C22semidirect
201. C53×#448C22semidirect
202. C53×#408C22semidirect
959. #3201D53semidirect
1025. #536C2×D53semidirect
1043. #485C2×D53semidirect
1044. #484C2×D53semidirect
1047. #483C2×D53semidirect
1050. #482C2×D53semidirect
1060. #470C2×D53semidirect
1062. #468C2×D53semidirect
1063. #467C2×D53semidirect
1074. #465C2×D53semidirect
1099. #452C2×D53semidirect
1100. #452C2×D53semidirect
1102. #451C2×D53semidirect
1119. #448C2×D53semidirect
1150. #408C2×D53semidirect
1153. C53#61640semidirect

Maximal subgroups

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

subgroupindex
#202890102
#202883792
#202868592
#202868362
#202868212
#202867542
#202866522
#202866202
#202865562
#202865342
#202864592
#202864422
#202864152
#202864042
#202863032
#202862882
#202862472
#202862172
#202858152
#202857852
#202856212
#202854852
#202854712
#202849872
#202849242
#202840222
#202839902
#202839362
#452×D532
#202837672
C53×#32012
#6164053