Finite Group Databasebeta

← #28278001

Subgroups — #28278001

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#20289044C211yesmaximal, characteristic, complemented
2#20288674C211yesmaximal, characteristic, complemented
3#20287752C211yesmaximal, characteristic, complemented
4#20287722C211yesmaximal, characteristic, complemented
5#20287510C211yesmaximal, characteristic, complemented
6#20287349C211yesmaximal, characteristic, complemented
7#20286954C211yesmaximal, characteristic, complemented
8#20286952C211yesmaximal, characteristic, complemented
9#20286941C211yesmaximal, characteristic, complemented
10#20286877C211yesmaximal, characteristic, complemented
11#20286868C211yesmaximal, characteristic, complemented
12#20286649C211yesmaximal, characteristic, complemented
13#20286389C211yesmaximal, characteristic, complemented
14#20286332C211yesmaximal, characteristic, complemented
15#20286323C211yesmaximal, characteristic, complemented
16#20286321C211yesmaximal, characteristic, complemented
17#20286201C211yesmaximal, characteristic, complemented
18#20286192C211yesmaximal, characteristic, complemented
19#20286132C211yesmaximal, characteristic, complemented
20#20286076C211yesmaximal, characteristic, complemented
21#20285814C211yesmaximal, characteristic, complemented
22#20285803C211yesmaximal, characteristic, complemented
23#20285632C211yesmaximal, characteristic, complemented
24#20284960C211yesmaximal, characteristic, complemented
25#20284953C211yesmaximal, characteristic, complemented
26#20284740C211yesmaximal, characteristic, complemented
27#20284219C211yesmaximal, characteristic, complemented
28#20284213C211yesmaximal, characteristic, complemented
29#20284192C211yesmaximal, characteristic, complemented
30#20283862C211yesmaximal, characteristic, complemented
31C53×#3257C211yesmaximal, characteristic, complemented
32C2×#13133245C2211yescharacteristic, complemented
33C2×#13133244C2211yescharacteristic, complemented
34C2×#13133244C2211yescharacteristic, complemented
35C2×#13133241C2211yescharacteristic, complemented
36C22×D424C2211yescharacteristic, complemented
37C2×D8×D53C2211yescharacteristic, complemented
38#16811363—21no—
39#16811361—21no—
40#16811356C2211yescharacteristic, complemented
41#16811355C2211yescharacteristic, complemented
42#16811344C2211yescharacteristic, complemented
43#16811339C2211yescharacteristic, complemented
44#16811337C2211yescharacteristic, complemented
45#16811301—21no—
46#16811300—21no—
47#16811294C2211yescharacteristic, complemented
48#16811291C2211yescharacteristic
49#16811288C2211yescharacteristic, complemented
50#16811283—21no—
51#16811270C2211yescharacteristic, complemented
52#16811268C2211yescharacteristic, complemented
53#16811266C2211yescharacteristic, complemented
54#16811265—21no—
55#16811265—21no—
56#16811264C2211yescharacteristic, complemented
57D4×D212C2211yescharacteristic, complemented
58#16811257—21no—
59#16811257C2211yescharacteristic
60#16811257C2211yescharacteristic, complemented
61#16811257C2211yescharacteristic, complemented
62#16811245C2211yescharacteristic, complemented
63#16811229C2211yescharacteristic, complemented
64#16811225—21no—
65#16811212—21no—
66#16811207—21no—
67#16811192C2211yescharacteristic, complemented
68#16811189—21no—
69#16811186C2211yescharacteristic, complemented
70#16811184—21no—
71#16811181—21no—
72#16811170C2211yescharacteristic, complemented
73#127×D53C2211yescharacteristic, complemented
74#16811158C2211yescharacteristic, complemented
75#16811156—21no—
76#16811151C2211yescharacteristic
77#124×D53—21no—
78#16811097C2211yescharacteristic, complemented
79#16811095C2211yescharacteristic, complemented
80C4×#11719949C2211yescharacteristic, complemented
81#16811013C2211yescharacteristic, complemented
82#16811009C2211yescharacteristic, complemented
83#16811005C2211yescharacteristic, complemented
84#16811004C2211yescharacteristic, complemented
85#16810998C2211yescharacteristic
86#16810998C2211yescharacteristic, complemented
87#16810985C2211yescharacteristic, complemented
88#16810981C2211yescharacteristic, complemented
89#16810971C2211yescharacteristic, complemented
90#16810968C2211yescharacteristic, complemented
91#16810968C2211yescharacteristic, complemented
92#16810968C2211yescharacteristic, complemented
93#16810966C2211yescharacteristic, complemented
94#16810950C2211yescharacteristic, complemented
95#16810949C2211yescharacteristic, complemented
96#16810949C2211yescharacteristic, complemented
97#16810944C2211yescharacteristic, complemented
98#16810944C2211yescharacteristic, complemented
99#16810920C2211yescharacteristic, complemented
100#16810920C2211yescharacteristic, complemented
101#16810912C2211yescharacteristic, complemented
102#16810907C2211yescharacteristic, complemented
103#16810902C2211yescharacteristic, complemented
104#16810902C2211yescharacteristic, complemented
105#16810877C2211yescharacteristic, complemented
106#16810877C2211yescharacteristic, complemented
107#16810875C2211yescharacteristic, complemented
108#16810872C2211yescharacteristic, complemented
109#16810870C2211yescharacteristic, complemented
110#16810868C2211yescharacteristic, complemented
111#16810860C2211yescharacteristic, complemented
112#16810855C2211yescharacteristic, complemented
113#16810845C2211yescharacteristic, complemented
114#16810841C2211yescharacteristic, complemented
115#16810841C2211yescharacteristic, complemented
116#16810839C2211yescharacteristic, complemented
117#16810839C2211yescharacteristic, complemented
118#16810839C2211yescharacteristic, complemented
119#16810839C2211yescharacteristic, complemented
120#16810838C2211yescharacteristic, complemented
121#16810837C2211yescharacteristic, complemented
122#16810836C2211yescharacteristic, complemented
123#16810823C2211yescharacteristic, complemented
124#16810822C2211yescharacteristic, complemented
125#16810821C2211yescharacteristic, complemented
126#16810821C2211yescharacteristic, complemented
127#16810819C2211yescharacteristic, complemented
128#16810819C2211yescharacteristic, complemented
129#16810819C2211yescharacteristic, complemented
130#16810819C2211yescharacteristic, complemented
131#16810818C2211yescharacteristic, complemented
132#16810817C2211yescharacteristic
133#16810817C2211yescharacteristic, complemented
134#16810817C2211yescharacteristic, complemented
135#16810817C2211yescharacteristic, complemented
136#16810816C2211yescharacteristic, complemented
137#16810815C2211yescharacteristic, complemented
138#16810815C2211yescharacteristic, complemented
139#16810788C2211yescharacteristic, complemented
140#16810783C2211yescharacteristic, complemented
141#16810782C2211yescharacteristic, complemented
142#16810773C2211yescharacteristic, complemented
143#16810772C2211yescharacteristic, complemented
144#16810771C2211yescharacteristic
145#16810769C2211yescharacteristic, complemented
146#16810766C2211yescharacteristic, complemented
147#16810758C2211yescharacteristic, complemented
148#16810758C2211yescharacteristic, complemented
149#16810758C2211yescharacteristic, complemented
150#16810758C2211yescharacteristic, complemented
151#16810758C2211yescharacteristic, complemented
152#16810756C2211yescharacteristic, complemented
153#16810756C2211yescharacteristic, complemented
154#16810756C2211yescharacteristic, complemented
155#16810755C2211yescharacteristic, complemented
156#16810755C2211yescharacteristic, complemented
157#16810752C2211yescharacteristic, complemented
158#16810747C2211yescharacteristic, complemented
159#16810734C2211yescharacteristic, complemented
160#16810733C2211yescharacteristic, complemented
161#16810733C2211yescharacteristic, complemented
162#16810732C2211yescharacteristic, complemented
163#16810715C2211yescharacteristic, complemented
164#16810710C2211yescharacteristic, complemented
165#16810708C2211yescharacteristic, complemented
166#16810705C2211yescharacteristic, complemented
167#16810705C2211yescharacteristic, complemented
168C4×#11719922C2211yescharacteristic, complemented
169C4×#11719922C2211yescharacteristic, complemented
170#16810703C2211yescharacteristic, complemented
171#16810700C2211yescharacteristic, complemented
172#16810699C2211yescharacteristic, complemented
173#16810699C2211yescharacteristic, complemented
174#16810694C2211yescharacteristic, complemented
175#16810693C2211yescharacteristic, complemented
176C8×C22⋊D53C2211yescharacteristic, complemented
177#16810684C2211yescharacteristic, complemented
178#16810683C2211yescharacteristic, complemented
179#16810675C2211yescharacteristic, complemented
180#16810648C2211yescharacteristic, complemented
181#16810645C2211yescharacteristic, complemented
182#16810629C2211yescharacteristic, complemented
183#16810626C2211yescharacteristic, complemented
184#16810626C2211yescharacteristic, complemented
185#16810626C2211yescharacteristic, complemented
186#16810620C2211yescharacteristic, complemented
187#16810616C2211yescharacteristic, complemented
188C53×#542C2211yescharacteristic, complemented
189C53×#540C2211yescharacteristic, complemented
190C53×#479C2211yescharacteristic, complemented
191C53×#478C2211yescharacteristic, complemented
192C53×#476C2211yescharacteristic, complemented
193C53×#474C2211yescharacteristic, complemented
194C53×#469C2211yescharacteristic, complemented
195C53×#468C2211yescharacteristic, complemented
196C53×#466C2211yescharacteristic, complemented
197C53×#465C2211yescharacteristic, complemented
198C53×#463C2211yescharacteristic, complemented
199C53×#463C2211yescharacteristic, complemented
200C53×#460C2211yescharacteristic, complemented
201C53×#459C2211yescharacteristic, complemented
202C53×#424C2211yescharacteristic, complemented
203C2×#11719949C2311yescharacteristic
204C2×#11719945—21no—
205C2×#11719945—21no—
206C2×#11719945C2311yescharacteristic
207C2×#11719947C2311yescharacteristic
208C2×Q8×D53—21no—
209C22×D212—21no—
210C22×D212C2311yescharacteristic
211C22×D212C2311yescharacteristic
212C2×D4×D53—21no—
213C2×D4×D53—21no—
214C2×D4×D53—21no—
215C2×D4×D53—21no—
216C2×D4×D53—21no—
217C2×D4×D53C2311yescharacteristic
218C2×D4×D53C2311yescharacteristic
219C2×D4×D53C2311yescharacteristic
220C2×D4×D53C2311yescharacteristic
221#13133245—42no—
222#13133244—42no—
223#13133244—42no—
224#13133241—42no—
225C2×#11719925C2311yescharacteristic
226C2×#11719913C2311yescharacteristic
227C2×#11719913C2311yescharacteristic
228C2×#11719923C2311yescharacteristic
229C2×#11719924C2311yescharacteristic
230C2×#11719924C2311yescharacteristic
231C2×#11719924C2311yescharacteristic
232C2×D424—42no—
233C2×D424C2311yescharacteristic
234C2×D424C2311yescharacteristic
235C2×D424C2311yescharacteristic
236C2×D424C2311yescharacteristic
237C2×D424C2311yescharacteristic
238C2×D424C2311yescharacteristic
239C2×#11719922C2311yescharacteristic
240C2×#11719922C2311yescharacteristic
241C2×#11719922C2311yescharacteristic
242C2×#11719922C2311yescharacteristic
243C2×#11719922C2311yescharacteristic
244C2×#11719922C2311yescharacteristic
245C2×#11719922C2311yescharacteristic
246D8×D53—42no—
247C2×#11719912C2311yescharacteristic
248C2×#11719912C2311yescharacteristic
249C2×#11719912C2311yescharacteristic
250C2×C8×D53C2311yescharacteristic
251#13133216C2311yescharacteristic
252#13133216C2311yescharacteristic
253#13133214C2311yescharacteristic
254#13133214C2311yescharacteristic
255#13133213—21no—
256#13133213—21no—
257#13133213—21no—
258#13133213C2311yescharacteristic
259#13133213C2311yescharacteristic
260#13133213C2311yescharacteristic
261#13133213C2311yescharacteristic
262#13133212—21no—
263#13133212—21no—
264#13133212D411yescharacteristic
265#13133211—21no—
266#13133210—21no—
267#13133210D411yescharacteristic
268#13133207D411yescharacteristic
269#13133206—21no—
270#13133206—21no—
271#13133206C2311yescharacteristic
272#13133205—21no—
273#13133205C2311yescharacteristic
274#13133205C2311yescharacteristic
275#13133204—21no—
276#13133204C2311yescharacteristic
277#13133203—21no—
278#13133203—21no—
279#13133203—21no—
280#13133203—21no—
281#13133203—21no—
282#13133203D411yescharacteristic
283#13133202—21no—
284#13133202—21no—
285#13133202—21no—
286#13133202—21no—
287#13133202—21no—
288#13133202D411yescharacteristic
289#13133201—21no—
290#13133201—21no—
291#13133200—21no—
292#13133199—21no—
293#13133199—21no—
294#13133199—21no—
295#13133199—21no—
296#13133199D411yescharacteristic
297#13133197C2311yescharacteristic
298#13133195—21no—
299#13133195—21no—
300#13133195—21no—
301#13133195D411yescharacteristic
302#13133193—21no—
303#13133193C2311yescharacteristic
304#13133192—21no—
305#13133192—21no—
306#13133192—21no—
307#13133192—21no—
308#13133192—21no—
309#13133192—21no—
310#13133192C2311yescharacteristic
311#13133192C2311yescharacteristic
312#13133192C2311yescharacteristic
313#13133192C2311yescharacteristic
314#13133192C2311yescharacteristic
315#13133191—21no—
316#13133191—21no—
317#13133191—21no—
318#13133190—21no—
319#13133190—21no—
320#13133190—21no—
321#13133190—21no—
322#13133190—21no—
323#13133190—21no—
324#13133190—21no—
325#13133190—21no—
326#13133190D411yescharacteristic
327#13133189—21no—
328#13133189—21no—
329#13133189—21no—
330#13133189—21no—
331#13133188—21no—
332#13133188C2311yescharacteristic
333#13133187—21no—
334#13133187—21no—
335#13133187—21no—
336#13133187—21no—
337#13133187—21no—
338#13133187—21no—
339#13133187—21no—
340#13133187—21no—
341#13133187—21no—
342#13133187—21no—
343#13133185—21no—
344#13133185—21no—
345#13133185—21no—
346#13133185—21no—
347#13133185—21no—
348#13133185—21no—
349Q8×Dic53C2311yescharacteristic
350C4×Dic106C2311yescharacteristic
351#13133182—21no—
352#13133182C2311yescharacteristic
353C4×D212—21no—
354C4×D212C2311yescharacteristic
355C4×D212C2311yescharacteristic
356C4×D212C2311yescharacteristic
357C4×D212C2311yescharacteristic
358C4×D212C2311yescharacteristic
359D4×Dic53C2311yescharacteristic
360#13133179—21no—
361#13133179—21no—
362#13133179—21no—
363#13133179—21no—
364#13133179C2311yescharacteristic
365#13133179C2311yescharacteristic
366#13133179C2311yescharacteristic
367#13133179C2311yescharacteristic
368#13133179C2311yescharacteristic
369C4×C22⋊D53—21no—
370C4×C22⋊D53—21no—
371C4×C22⋊D53—21no—
372C4×C22⋊D53C2311yescharacteristic
373C4×C22⋊D53C2311yescharacteristic
374#13133177—21no—
375#13133177—21no—
376#13133177—21no—
377#13133176C2311yescharacteristic
378#13133175—21no—
379#13133175—21no—
380#13133175—21no—
381#13133175C2311yescharacteristic
382#13133175C2311yescharacteristic
383#13133174C2311yescharacteristic
384#13133173—21no—
385C2×#11719921—21no—
386C2×#11719921—21no—
387C22⋊C4×D53—21no—
388C22⋊C4×D53—21no—
389C22⋊C4×D53—21no—
390C22⋊C4×D53—21no—
391C22⋊C4×D53—21no—
392C22⋊C4×D53—21no—
393C42×D53—21no—
394C42×D53C2311yescharacteristic
395#13133150C2311yescharacteristic
396#13133150C2311yescharacteristic
397#13133148C2311yescharacteristic
398#13133148C2311yescharacteristic
399C4⋊#88322C2311yescharacteristic
400C4⋊#88322C2311yescharacteristic
401#13133146C2311yescharacteristic
402#13133146C2311yescharacteristic
403#13133146C2311yescharacteristic
404#13133146C2311yescharacteristic
405#13133142C2311yescharacteristic
406#13133142C2311yescharacteristic
407#13133140C2311yescharacteristic
408#13133140C2311yescharacteristic
409#13133139C2311yescharacteristic
410#13133139C2311yescharacteristic
411#13133139C2311yescharacteristic
412#13133139C2311yescharacteristic
413#13133139C2311yescharacteristic
414#13133139C2311yescharacteristic
415#13133138C2311yescharacteristic
416#13133138C2311yescharacteristic
417#13133138C2311yescharacteristic
418#13133138C2311yescharacteristic
419#13133137C2311yescharacteristic
420#13133137C2311yescharacteristic
421#13133137C2311yescharacteristic
422#13133137C2311yescharacteristic
423#13133137C2311yescharacteristic
424#13133137C2311yescharacteristic
425#13133137C2311yescharacteristic
426#13133137C2311yescharacteristic
427#13133137C2311yescharacteristic
428#13133137C2311yescharacteristic
429C22⋊#88322C2311yescharacteristic
430C22⋊#88322C2311yescharacteristic
431#13133129C2311yescharacteristic
432#13133129C2311yescharacteristic
433#13133129C2311yescharacteristic
434#13133129C2311yescharacteristic
435#13133128C2311yescharacteristic
436#13133127C2311yescharacteristic
437C4×#88322C2311yescharacteristic
438C8×Dic53C2311yescharacteristic
439C8×Dic53C2311yescharacteristic
440C8×Dic53C2311yescharacteristic
441C2×SD16×C53C2311yescharacteristic
442C2×SD16×C53C2311yescharacteristic
443C2×D8×C53C2311yescharacteristic
444C2×D8×C53C2311yescharacteristic
445C2×M16×C53C2311yescharacteristic
446C22×C8×C53C2311yescharacteristic
447C4⋊Q8×C53C2311yescharacteristic
448#127×C53C2311yescharacteristic
449#126×C53—21no—
450#125×C53C2311yescharacteristic
451#124×C53—21no—
452#124×C53C2311yescharacteristic
453#123×C53—21no—
454#123×C53—21no—
455#123×C53—21no—
456C22⋊Q8×C53—21no—
457C22⋊Q8×C53C2311yescharacteristic
458#121×C53—21no—
459#121×C53—21no—
460#121×C53C2311yescharacteristic
461#121×C53C2311yescharacteristic
462#121×C53C2311yescharacteristic
463C4×Q8×C53C2311yescharacteristic
464C4×D4×C53C2311yescharacteristic
465C4×D4×C53C2311yescharacteristic
466C4×D4×C53C2311yescharacteristic
467#117×C53C2311yescharacteristic
468#107×C53C2311yescharacteristic
469#107×C53C2311yescharacteristic
470#106×C53C2311yescharacteristic
471#106×C53C2311yescharacteristic
472C4⋊C8×C53C2311yescharacteristic
473C4⋊C8×C53C2311yescharacteristic
474C4⋊C8×C53C2311yescharacteristic
475C4⋊C8×C53C2311yescharacteristic
476#103×C53C2311yescharacteristic
477#103×C53C2311yescharacteristic
478#102×C53C2311yescharacteristic
479#102×C53C2311yescharacteristic
480#102×C53C2311yescharacteristic
481#102×C53C2311yescharacteristic
482#102×C53C2311yescharacteristic
483#102×C53C2311yescharacteristic
484C23×D53—21no—
485C23×D53—21no—
486C23×D53—21no—
487C23×D53—21no—
488C23×D53—21no—
489C23×D53—21no—
490C2×Q8×C53—21no—
491C2×Q8×C53C2411yescharacteristic
492C2×D4×C53—21no—
493C2×D4×C53—21no—
494C2×D4×C53—21no—
495C2×D4×C53—21no—
496C2×D4×C53—21no—
497C2×D4×C53C2411yescharacteristic
498C2×D4×C53C2411yescharacteristic
499C2×D4×C53C2411yescharacteristic
500C22×C4×C53—21no—
501C22×C4×C53—21no—
502C22×C4×C53—21no—
503C22×C4×C53C2411yescharacteristic
504C2×C22⋊D53—21no—
505C2×C22⋊D53—21no—
506C2×C22⋊D53—21no—
507C2×C22⋊D53—21no—
508C2×C22⋊D53—21no—
509C2×C22⋊D53—21no—
510C2×C22⋊D53—21no—
511C2×C22⋊D53—21no—
512C2×C22⋊D53—21no—
513C2×C22⋊D53—21no—
514C2×C22⋊D53—21no—
515C2×C22⋊D53—21no—
516C2×C22⋊D53—21no—
517C2×C22⋊D53—21no—
518C2×C22⋊D53—21no—
519C2×C22⋊D53C2×D411yescharacteristic
520C2×C22⋊D53C2×D411yescharacteristic
521C22×Dic53—21no—
522C22×Dic53—21no—
523#11719949—22no—
524#11719949—41no—
525Q8×D53—82no—
526#11719947—41no—
527#11719947—41no—
528D4×D53—22no—
529D4×D53—41no—
530D4×D53—41no—
531D4×D53—41no—
532D4×D53—41no—
533D4×D53—41no—
534D4×D53—41no—
535D4×D53—41no—
536D4×D53—82no—
537D4×D53—82no—
538D4×D53—82no—
539D4×D53—82no—
540D4×D53—82no—
541#11719945—41no—
542#11719945—41no—
543#11719945—82no—
544#11719945—82no—
545C2×D212—22no—
546C2×D212—21no—
547C2×D212—21no—
548C2×D212—21no—
549C2×D212—21no—
550C2×D212—21no—
551C2×D212—21no—
552C2×D212—21no—
553C2×D212—21no—
554C2×D212—21no—
555C2×D212—21no—
556C2×D212—21no—
557C2×D212—21no—
558C2×D212—41no—
559C2×D212—41no—
560C2×D212—41no—
561C2×D212—82no—
562C2×D212C2×D411yescharacteristic
563C2×D212C2411yescharacteristic
564C2×D212C2411yescharacteristic
565C2×D212C2411yescharacteristic
566C2×D212C2411yescharacteristic
567C2×D212C2411yescharacteristic
568C2×C4×D53—21no—
569C2×C4×D53—21no—
570C2×C4×D53—21no—
571C2×C4×D53—21no—
572C2×C4×D53—21no—
573C2×C4×D53—21no—
574C2×C4×D53—21no—
575C2×C4×D53—21no—
576C2×C4×D53—21no—
577C2×C4×D53—21no—
578C2×C4×D53—21no—
579C2×C4×D53C2×D411yescharacteristic
580C2×C4×D53C2×D411yescharacteristic
581C2×C4×D53C2411yescharacteristic
582C2×C4×D53C2411yescharacteristic
583C2×Dic106—21no—
584C2×Dic106—21no—
585C2×Dic106C2×D411yescharacteristic
586C2×Dic106C2411yescharacteristic
587SD16×C53—41no—
588SD16×C53—41no—
589D8×C53—41no—
590D8×C53—41no—
591M16×C53—41no—
592C2×C8×C53—41no—
593C2×C8×C53C2411yescharacteristic
594C2×C8×C53C2411yescharacteristic
595C2×C8×C53C2411yescharacteristic
596C2×C8×C53C2411yescharacteristic
597C4⋊C4×C53—21no—
598C4⋊C4×C53—21no—
599C4⋊C4×C53—21no—
600C4⋊C4×C53—21no—
601C4⋊C4×C53—21no—
602C4⋊C4×C53C2×D411yescharacteristic
603C4⋊C4×C53C2×D411yescharacteristic
604C4⋊C4×C53C2411yescharacteristic
605C4⋊C4×C53C2411yescharacteristic
606C4⋊C4×C53C2411yescharacteristic
607C4⋊C4×C53C2411yescharacteristic
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×C53—21no—
615C22⋊C4×C53—21no—
616C22⋊C4×C53—21no—
617C22⋊C4×C53C2×D411yescharacteristic
618C22⋊C4×C53C2×D411yescharacteristic
619C42×C53—21no—
620C42×C53C2411yescharacteristic
621C42×C53C2411yescharacteristic
622C22⋊Dic53—21no—
623C22⋊Dic53—21no—
624C22⋊Dic53—21no—
625C22⋊Dic53—21no—
626C22⋊Dic53—21no—
627C22⋊Dic53C2×D411yescharacteristic
628C22⋊Dic53C2×D411yescharacteristic
629#11719925—41no—
630#11719924—41no—
631#11719924—41no—
632#11719924—41no—
633#11719923—41no—
634#11719922—22no—
635#11719922—22no—
636#11719922—41no—
637#11719922—41no—
638#11719922—41no—
639#11719922—41no—
640#11719922—41no—
641#11719921—21no—
642#11719921—21no—
643#11719921—21no—
644#11719921—21no—
645#11719921—21no—
646#11719921—21no—
647#11719921—21no—
648#11719921—21no—
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#11719921—21no—
664#11719921—21no—
665#11719921C2×D411yescharacteristic
666#11719921C2×D411yescharacteristic
667#11719921C2×D411yescharacteristic
668#11719921C2×D411yescharacteristic
669#11719921C2×D411yescharacteristic
670#11719921C2×D411yescharacteristic
671C4⋊Dic53—21no—
672C4⋊Dic53—21no—
673C4⋊Dic53C2×D411yescharacteristic
674C4⋊Dic53C2×D411yescharacteristic
675C4⋊Dic53C2411yescharacteristic
676C4⋊Dic53C2411yescharacteristic
677#11719919—21no—
678#11719919—21no—
679#11719919—21no—
680#11719919—21no—
681#11719919C2×D411yescharacteristic
682#11719919C2×D411yescharacteristic
683#11719919C2×D411yescharacteristic
684#11719919C2×D411yescharacteristic
685#11719919C2×D411yescharacteristic
686#11719919C2×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
696C2×#88322C2411yescharacteristic
697C2×#88322C2411yescharacteristic
698C2×#88322C2411yescharacteristic
699C2×#88322C2411yescharacteristic
700D424—22no—
701D424—22no—
702D424—22no—
703D424—41no—
704D424—41no—
705D424—41no—
706#11719913—22no—
707#11719913—41no—
708#11719912—41no—
709#11719912—41no—
710#11719912—41no—
711C8×D53—41no—
712C23×C53—21no—
713C23×C53—21no—
714C23×C53—21no—
715C23×C53C22×D411yescharacteristic
716C22×D53—21no—
717C22×D53—21no—
718C22×D53—21no—
719C22×D53—21no—
720C22×D53—21no—
721C22×D53—42no—
722C22×D53—42no—
723C22×D53—42no—
724C22×D53—42no—
725C22×D53—81no—
726C22×D53—81no—
727C22×D53—81no—
728C22×D53—81no—
729C22×D53—81no—
730C22×D53—81no—
731C22×D53—81no—
732C22×D53—81no—
733C22×D53—81no—
734C22×D53—81no—
735C22×D53—81no—
736C22×D53—81no—
737C22×D53—81no—
738C22×D53—81no—
739C22×D53C22×D411yescharacteristic
740C22×D53C22×D411yescharacteristic
741Q8×C53—21no—
742Q8×C53—21no—
743Q8×C53—81no—
744D4×C53—21no—
745D4×C53—21no—
746D4×C53—21no—
747D4×C53—21no—
748D4×C53—21no—
749D4×C53—21no—
750D4×C53—81no—
751D4×C53—81no—
752D4×C53—81no—
753D4×C53—81no—
754D4×C53—81no—
755C2×C4×C53—21no—
756C2×C4×C53—21no—
757C2×C4×C53—21no—
758C2×C4×C53—21no—
759C2×C4×C53—21no—
760C2×C4×C53—21no—
761C2×C4×C53—21no—
762C2×C4×C53—81no—
763C2×C4×C53—81no—
764C2×C4×C53—81no—
765C2×C4×C53C22×D411yescharacteristic
766C2×C4×C53C22×D411yescharacteristic
767C2×C4×C53C22×D411yescharacteristic
768C2×C4×C53C22×D411yescharacteristic
769C2×C4×C53C22×D411yescharacteristic
770C2×C4×C53C2511yescharacteristic
771C22⋊D53—22no—
772C22⋊D53—41no—
773C22⋊D53—42no—
774C22⋊D53—42no—
775C22⋊D53—42no—
776C22⋊D53—42no—
777C22⋊D53—81no—
778C22⋊D53—81no—
779C22⋊D53—81no—
780C22⋊D53—81no—
781C22⋊D53—81no—
782C22⋊D53—81no—
783C22⋊D53—81no—
784C22⋊D53—81no—
785C22⋊D53—81no—
786C22⋊D53—81no—
787C22⋊D53—81no—
788C2×Dic53—21no—
789C2×Dic53—21no—
790C2×Dic53—21no—
791C2×Dic53—81no—
792C2×Dic53—81no—
793C2×Dic53C22×D411yescharacteristic
794C2×Dic53C22×D411yescharacteristic
795C2×Dic53C22×D411yescharacteristic
796C2×Dic53C22×D411yescharacteristic
797C2×Dic53C22×D411yescharacteristic
798C2×Dic53C22×D411yescharacteristic
799D212—21no—
800D212—21no—
801D212—21no—
802D212—21no—
803D212—21no—
804D212—21no—
805D212—21no—
806D212—21no—
807D212—21no—
808D212—41no—
809D212—42no—
810D212—42no—
811D212—42no—
812D212—81no—
813D212—81no—
814D212—81no—
815D212—81no—
816D212—81no—
817D212—81no—
818D212—81no—
819D212—81no—
820D212—81no—
821D212H(5,𝔽2)12yes—
822C4×D53—21no—
823C4×D53—21no—
824C4×D53—21no—
825C4×D53—21no—
826C4×D53—22no—
827C4×D53—41no—
828C4×D53—42no—
829C4×D53—42no—
830C4×D53—42no—
831C4×D53—81no—
832C4×D53—81no—
833C4×D53—81no—
834C4×D53—81no—
835C4×D53—81no—
836C4×D53—81no—
837C4×D53—81no—
838C4×D53—81no—
839Dic106—22no—
840Dic106—21no—
841Dic106—21no—
842Dic106—42no—
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—21no—
856C22×C53—41no—
857C22×C53—41no—
858C22×C53—41no—
859C22×C53—41no—
860C22×C53—41no—
861C22×C53—41no—
862C22×C53—41no—
863C22×C53—41no—
864C22×C53—41no—
865C22×C53C23×D411yescharacteristic
866C2×D53—21no—
867C2×D53—21no—
868C2×D53—21no—
869C2×D53—21no—
870C2×D53—22no—
871C2×D53—21no—
872C2×D53—21no—
873C2×D53—41no—
874C2×D53—41no—
875C2×D53—41no—
876C2×D53—41no—
877C2×D53—41no—
878C2×D53—41no—
879C2×D53—41no—
880C2×D53—41no—
881C2×D53—41no—
882C2×D53—41no—
883C2×D53—41no—
884C2×D53—41no—
885C2×D53—41no—
886C2×D53—41no—
887C2×D53—162no—
888C2×D53—162no—
889C2×D53—162no—
890C2×D53—162no—
891C2×D53—162no—
892C2×D53—162no—
893C4×C53—21no—
894C4×C53—21no—
895C4×C53—21no—
896C4×C53—21no—
897C4×C53—21no—
898C4×C53—41no—
899C4×C53—41no—
900C4×C53—41no—
901C4×C53—41no—
902C4×C53—41no—
903C4×C53C2×H(5,𝔽2)11yescharacteristic
904C4×C53#58511yescharacteristic
905Dic53—21no—
906Dic53—21no—
907Dic53—21no—
908Dic53—21no—
909Dic53—21no—
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#3264—531no—
932#3257—531no—
933#3257D5311yescharacteristic, complemented
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—81no—
947C2×C53—81no—
948C2×C53—81no—
949C2×C53#348811yescharacteristic
950C2×C53C2×#57611yescharacteristic
951C2×C53#358511yescharacteristic
952D53—41no—
953D53—41no—
954D53—42no—
955D53—81no—
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)—531no—
963C22×D8—531no—
964C22×D8—531no—
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—531no—
982#546—1061no—
983#546—1061no—
984D42—531no—
985D42—531no—
986D42—531no—
987D42—531no—
988D42—1061no—
989#542—531no—
990#542C2×D5311yescharacteristic, complemented
991#540—531no—
992#540—1061no—
993#540C2×D5311yescharacteristic, complemented
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#496—531no—
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#479C2×D5311yescharacteristic, complemented
1029#478—531no—
1030#478—531no—
1031#478C2×D5311yescharacteristic, complemented
1032#476—531no—
1033#476C2×D5311yescharacteristic, complemented
1034#475—531no—
1035#474—531no—
1036#474—531no—
1037#474C2×D5311yescharacteristic, complemented
1038#469—531no—
1039#469—531no—
1040#469—531no—
1041#469C2×D5311yescharacteristic, complemented
1042#468—531no—
1043#468—531no—
1044#468—531no—
1045#468C2×D5311yescharacteristic, complemented
1046#466—531no—
1047#466C2×D5311yescharacteristic, complemented
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#463C2×D5311yescharacteristic, complemented
1061#463C2×D5311yescharacteristic, complemented
1062#460—531no—
1063#460—531no—
1064#460—531no—
1065#460—531no—
1066#460C2×D5311yescharacteristic, complemented
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#450—531no—
1085#449—531no—
1086#449—531no—
1087#449—531no—
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#447—531no—
1097#447—531no—
1098#446—531no—
1099C8×Q8—531no—
1100#442—531no—
1101#442—531no—
1102#442—531no—
1103#442—531no—
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#435—531no—
1117C8×D4—531no—
1118#433—531no—
1119#433—531no—
1120#431—531no—
1121#424—531no—
1122#424C2×D5311yescharacteristic, complemented
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—531no—
1134C2×#41—1061no—
1135C2×#41—1061no—
1136C22×Q8—1061no—
1137C22×D4—531no—
1138C22×D4—531no—
1139C22×D4—531no—
1140C22×D4—531no—
1141C22×D4—531no—
1142C22×D4—531no—
1143C22×D4—1061no—
1144C22×D4—1061no—
1145C22×D4—1061no—
1146C22×D4—1061no—
1147C22×D4—1061no—
1148C22×D4—1061no—
1149AGL(1,ℤ/8)—2122no—
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×SD16—531no—
1160C2×SD16C22×D5311yescharacteristic
1161C2×SD16C22×D5311yescharacteristic
1162C2×D8—531no—
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—531no—
1173C2×D8—531no—
1174C2×D8—531no—
1175C2×D8—2122no—
1176C2×D8—2122no—
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⋊Q8C22×D5311yescharacteristic
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—21no—
1199#126—531no—
1200#126—531no—
1201#126—1061no—
1202#126—1061no—
1203#126—1061no—
1204#126—1061no—
1205#125—531no—
1206#125C22×D5311yescharacteristic
1207#124—21no—
1208#124—531no—
1209#124—531no—
1210#124—531no—
1211#124—531no—
1212#124—531no—
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—21no—
1225#123—21no—
1226#123—531no—
1227#123—531no—
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—21no—
1241C22⋊Q8—531no—
1242C22⋊Q8—531no—
1243C22⋊Q8—531no—
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—1061no—
1284#120—1061no—
1285#120—1061no—
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—1061no—
1303C4×Q8C22×D5311yescharacteristic
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—1061no—
1336#117—1061no—
1337#117—1061no—
1338#117—1061no—
1339#117C22×D5311yescharacteristic
1340C2×C22⋊C4—1061no—
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#107C22×D5311yescharacteristic
1353#107C22×D5311yescharacteristic
1354#106—531no—
1355#106—531no—
1356#106C22×D5311yescharacteristic
1357#106C22×D5311yescharacteristic
1358C4⋊C8—531no—
1359C4⋊C8—531no—
1360C4⋊C8—531no—
1361C4⋊C8—531no—
1362C4⋊C8—531no—
1363C4⋊C8—531no—
1364C4⋊C8C22×D5311yescharacteristic
1365C4⋊C8C22×D5311yescharacteristic
1366C4⋊C8C22×D5311yescharacteristic
1367C4⋊C8C22×D5311yescharacteristic
1368#103—531no—
1369#103—531no—
1370#103—531no—
1371#103—531no—
1372#103C22×D5311yescharacteristic
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#102C22×D5311yescharacteristic
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⋊C8—531no—
1405C22⋊C8—531no—
1406#97—531no—
1407#97—531no—
1408C4×C8—531no—
1409C4×C8—531no—
1410C4×C8—531no—
1411C4×C8—531no—
1412C24—1061no—
1413C24—1061no—
1414C24—1061no—
1415C24—1061no—
1416C24—1061no—
1417C24—1061no—
1418#41—1062no—
1419#41—4242no—
1420#41—4242no—
1421#41—2121no—
1422#41—2121no—
1423#41—2121no—
1424#41—2121no—
1425#41—2121no—
1426C2×Q8—21no—
1427C2×Q8—531no—
1428C2×Q8—531no—
1429C2×Q8—1061no—
1430C2×Q8—1061no—
1431C2×Q8—4242no—
1432C2×Q8C23×D5311yescharacteristic
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—531no—
1439C2×D4—531no—
1440C2×D4—531no—
1441C2×D4—531no—
1442C2×D4—531no—
1443C2×D4—531no—
1444C2×D4—531no—
1445C2×D4—531no—
1446C2×D4—1062no—
1447C2×D4—1061no—
1448C2×D4—1061no—
1449C2×D4—1061no—
1450C2×D4—1061no—
1451C2×D4—1061no—
1452C2×D4—1061no—
1453C2×D4—1061no—
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—1062no—
1466C2×D4—1061no—
1467C2×D4—1061no—
1468C2×D4—1061no—
1469C2×D4—1061no—
1470C2×D4—1061no—
1471C2×D4—1061no—
1472C2×D4—1061no—
1473C2×D4—1061no—
1474C2×D4—1061no—
1475C2×D4—4242no—
1476C2×D4—4242no—
1477C2×D4—4242no—
1478C2×D4—4242no—
1479C2×D4—4242no—
1480C2×D4—4242no—
1481C2×D4—2121no—
1482C2×D4—2121no—
1483C2×D4—2121no—
1484C2×D4—2121no—
1485C2×D4—2121no—
1486C2×D4—2121no—
1487C2×D4—2121no—
1488C2×D4—2121no—
1489C2×D4—2121no—
1490C2×D4—2121no—
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—531no—
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×C4—1061no—
1514C22×C4C23×D5311yescharacteristic
1515Q16—2121no—
1516SD16—41no—
1517SD16—41no—
1518SD16—1062no—
1519SD16—2121no—
1520SD16—2121no—
1521SD16—2121no—
1522SD16—2121no—
1523SD16—2121no—
1524D8—41no—
1525D8—41no—
1526D8—1062no—
1527D8—1062no—
1528D8—1062no—
1529D8—1062no—
1530D8—1062no—
1531D8—2121no—
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—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
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—531no—
1568C4⋊C4—1061no—
1569C4⋊C4—1061no—
1570C4⋊C4—1061no—
1571C4⋊C4—1061no—
1572C4⋊C4—1061no—
1573C4⋊C4—1061no—
1574C4⋊C4D4×D5311yescharacteristic
1575C4⋊C4D4×D5311yescharacteristic
1576C4⋊C4C23×D5311yescharacteristic
1577C4⋊C4C23×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—21no—
1589C22⋊C4—531no—
1590C22⋊C4—531no—
1591C22⋊C4—531no—
1592C22⋊C4—531no—
1593C22⋊C4—531no—
1594C22⋊C4—531no—
1595C22⋊C4—531no—
1596C22⋊C4—531no—
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—21no—
1629C42—531no—
1630C42—531no—
1631C42—531no—
1632C42—531no—
1633C42—1061no—
1634C42—1061no—
1635C42—1061no—
1636C42—1061no—
1637C42—1061no—
1638C42C23×D5311yescharacteristic
1639C42C23×D5311yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—531no—
1644C23—531no—
1645C23—1061no—
1646C23—1061no—
1647C23—1061no—
1648C23—1061no—
1649C23—1061no—
1650C23—4241no—
1651C23—4241no—
1652C23—4241no—
1653C23—4241no—
1654C23—4241no—
1655C23—4241no—
1656C23—4241no—
1657C23—4241no—
1658C23—4241no—
1659C23—4241no—
1660C23—4241no—
1661C23—4241no—
1662C23—4241no—
1663C23—4241no—
1664C23—2122no—
1665C23—2122no—
1666C23—2122no—
1667C23—2122no—
1668C23C2×D4×D5311yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—81no—
1672Q8—1062no—
1673Q8—1061no—
1674Q8—1061no—
1675Q8—4241no—
1676Q8—2122no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—81no—
1684D4—81no—
1685D4—81no—
1686D4—81no—
1687D4—81no—
1688D4—532no—
1689D4—1062no—
1690D4—1061no—
1691D4—1061no—
1692D4—1061no—
1693D4—1061no—
1694D4—1061no—
1695D4—1061no—
1696D4—1061no—
1697D4—1061no—
1698D4—1061no—
1699D4—4241no—
1700D4—4241no—
1701D4—4241no—
1702D4—4241no—
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—2121no—
1720D4—2122no—
1721D4—2122no—
1722D4—2122no—
1723D4—2122no—
1724D4—2122no—
1725D4—2122no—
1726D4—2121no—
1727D4—2122no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—81no—
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—1062no—
1745C2×C4—1061no—
1746C2×C4—1061no—
1747C2×C4—1061no—
1748C2×C4—1061no—
1749C2×C4—1061no—
1750C2×C4—1061no—
1751C2×C4—1061no—
1752C2×C4—4241no—
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—2121no—
1763C2×C4—2122no—
1764C2×C4—2122no—
1765C2×C4—2122no—
1766C2×C4C2×D4×D5311yescharacteristic
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—21no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—8482no—
1793C22—8482no—
1794C22—8482no—
1795C22—8482no—
1796C22—8482no—
1797C22—8482no—
1798C22—1061no—
1799C22—1061no—
1800C22—1062no—
1801C22—1061no—
1802C22—1061no—
1803C22—1061no—
1804C22—1061no—
1805C22—2121no—
1806C22—2121no—
1807C22—2121no—
1808C22—2121no—
1809C22—2121no—
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—21no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—532no—
1831C4—1061no—
1832C4—1061no—
1833C4—1061no—
1834C4—1061no—
1835C4—1061no—
1836C4—2121no—
1837C4—2121no—
1838C4—2121no—
1839C4H(5,𝔽2)×D5311yescharacteristic
1840C4#1681146011yescharacteristic
1841C2—41no—
1842C2—81no—
1843C2—81no—
1844C2—81no—
1845C2—4241no—
1846C2—4241no—
1847C2—4241no—
1848C2—4241no—
1849C2—2121no—
1850C2—2121no—
1851C2—2122no—
1852C2#2028837911yescharacteristic
1853C2#576×D5311yescharacteristic
1854C2#2028949311yescharacteristic
subgroupG/H
centerC22C22×D4×D53
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC53×#3257C2
socleC22×C53C23×D4
hypercenter#3257D53
hypocenterC53#62031
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ #117 ◁ #3257

Complements

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

NH ≅ G/Ntype
1. #20289044C2semidirect
2. #20288674C2semidirect
3. #20287752C2semidirect
4. #20287722C2semidirect
5. #20287510C2semidirect
6. #20287349C2semidirect
7. #20286954C2semidirect
8. #20286952C2semidirect
9. #20286941C2semidirect
10. #20286877C2semidirect
11. #20286868C2semidirect
12. #20286649C2semidirect
13. #20286389C2semidirect
14. #20286332C2semidirect
15. #20286323C2semidirect
16. #20286321C2semidirect
17. #20286201C2semidirect
18. #20286192C2semidirect
19. #20286132C2semidirect
20. #20286076C2semidirect
21. #20285814C2semidirect
22. #20285803C2semidirect
23. #20285632C2semidirect
24. #20284960C2semidirect
25. #20284953C2semidirect
26. #20284740C2semidirect
27. #20284219C2semidirect
28. #20284213C2semidirect
29. #20284192C2semidirect
30. #20283862C2semidirect
31. C53×#3257C2semidirect
32. C2×#13133245C22semidirect
33. C2×#13133244C22semidirect
34. C2×#13133244C22semidirect
35. C2×#13133241C22semidirect
36. C22×D424C22semidirect
37. C2×D8×D53C22semidirect
40. #16811356C22semidirect
41. #16811355C22semidirect
42. #16811344C22semidirect
43. #16811339C22semidirect
44. #16811337C22semidirect
47. #16811294C22semidirect
49. #16811288C22semidirect
51. #16811270C22semidirect
52. #16811268C22semidirect
53. #16811266C22semidirect
56. #16811264C22semidirect
57. D4×D212C22semidirect
60. #16811257C22semidirect
61. #16811257C22semidirect
62. #16811245C22semidirect
63. #16811229C22semidirect
67. #16811192C22semidirect
69. #16811186C22semidirect
72. #16811170C22semidirect
73. #127×D53C22semidirect
74. #16811158C22semidirect
78. #16811097C22semidirect
79. #16811095C22semidirect
80. C4×#11719949C22semidirect
81. #16811013C22semidirect
82. #16811009C22semidirect
83. #16811005C22semidirect
84. #16811004C22semidirect
86. #16810998C22semidirect
87. #16810985C22semidirect
88. #16810981C22semidirect
89. #16810971C22semidirect
90. #16810968C22semidirect
91. #16810968C22semidirect
92. #16810968C22semidirect
93. #16810966C22semidirect
94. #16810950C22semidirect
95. #16810949C22semidirect
96. #16810949C22semidirect
97. #16810944C22semidirect
98. #16810944C22semidirect
99. #16810920C22semidirect
100. #16810920C22semidirect
101. #16810912C22semidirect
102. #16810907C22semidirect
103. #16810902C22semidirect
104. #16810902C22semidirect
105. #16810877C22semidirect
106. #16810877C22semidirect
107. #16810875C22semidirect
108. #16810872C22semidirect
109. #16810870C22semidirect
110. #16810868C22semidirect
111. #16810860C22semidirect
112. #16810855C22semidirect
113. #16810845C22semidirect
114. #16810841C22semidirect
115. #16810841C22semidirect
116. #16810839C22semidirect
117. #16810839C22semidirect
118. #16810839C22semidirect
119. #16810839C22semidirect
120. #16810838C22semidirect
121. #16810837C22semidirect
122. #16810836C22semidirect
123. #16810823C22semidirect
124. #16810822C22semidirect
125. #16810821C22semidirect
126. #16810821C22semidirect
127. #16810819C22semidirect
128. #16810819C22semidirect
129. #16810819C22semidirect
130. #16810819C22semidirect
131. #16810818C22semidirect
133. #16810817C22semidirect
134. #16810817C22semidirect
135. #16810817C22semidirect
136. #16810816C22semidirect
137. #16810815C22semidirect
138. #16810815C22semidirect
139. #16810788C22semidirect
140. #16810783C22semidirect
141. #16810782C22semidirect
142. #16810773C22semidirect
143. #16810772C22semidirect
145. #16810769C22semidirect
146. #16810766C22semidirect
147. #16810758C22semidirect
148. #16810758C22semidirect
149. #16810758C22semidirect
150. #16810758C22semidirect
151. #16810758C22semidirect
152. #16810756C22semidirect
153. #16810756C22semidirect
154. #16810756C22semidirect
155. #16810755C22semidirect
156. #16810755C22semidirect
157. #16810752C22semidirect
158. #16810747C22semidirect
159. #16810734C22semidirect
160. #16810733C22semidirect
161. #16810733C22semidirect
162. #16810732C22semidirect
163. #16810715C22semidirect
164. #16810710C22semidirect
165. #16810708C22semidirect
166. #16810705C22semidirect
167. #16810705C22semidirect
168. C4×#11719922C22semidirect
169. C4×#11719922C22semidirect
170. #16810703C22semidirect
171. #16810700C22semidirect
172. #16810699C22semidirect
173. #16810699C22semidirect
174. #16810694C22semidirect
175. #16810693C22semidirect
176. C8×C22⋊D53C22semidirect
177. #16810684C22semidirect
178. #16810683C22semidirect
179. #16810675C22semidirect
180. #16810648C22semidirect
181. #16810645C22semidirect
182. #16810629C22semidirect
183. #16810626C22semidirect
184. #16810626C22semidirect
185. #16810626C22semidirect
186. #16810620C22semidirect
187. #16810616C22semidirect
188. C53×#542C22semidirect
189. C53×#540C22semidirect
190. C53×#479C22semidirect
191. C53×#478C22semidirect
192. C53×#476C22semidirect
193. C53×#474C22semidirect
194. C53×#469C22semidirect
195. C53×#468C22semidirect
196. C53×#466C22semidirect
197. C53×#465C22semidirect
198. C53×#463C22semidirect
199. C53×#463C22semidirect
200. C53×#460C22semidirect
201. C53×#459C22semidirect
202. C53×#424C22semidirect
933. #3257D53semidirect
990. #542C2×D53semidirect
993. #540C2×D53semidirect
1028. #479C2×D53semidirect
1031. #478C2×D53semidirect
1033. #476C2×D53semidirect
1037. #474C2×D53semidirect
1041. #469C2×D53semidirect
1045. #468C2×D53semidirect
1047. #466C2×D53semidirect
1049. #465C2×D53semidirect
1060. #463C2×D53semidirect
1061. #463C2×D53semidirect
1066. #460C2×D53semidirect
1079. #459C2×D53semidirect
1122. #424C2×D53semidirect
1130. C53#62031semidirect

Maximal subgroups

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

subgroupindex
#202890442
#202886742
#202877522
#202877222
#202875102
#202873492
#202869542
#202869522
#202869412
#202868772
#202868682
#202866492
#202863892
#202863322
#202863232
#202863212
#202862012
#202861922
#202861322
#202860762
#202858142
#202858032
#202856322
#202849602
#202849532
#202847402
#202842192
#202842132
#202841922
#202838622
C53×#32572
#6203153