Finite Group Databasebeta

← Group #11786736

Character table — Group #11786736

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order122222334444666666666636666666661212121212121212441212121212121212121212121212121212121212444444444444121212121212121288121212121212121224242424224488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ91-1-11-11111-11-1-1-111-111-1-1-111-111-1-1-11-1111-1-1-1-11i−iii−i−iii−i−i11-1-1iiii−i−i−i−ii−ii−iii−i−i11-1-11111-1-1-1-11-1i−ii−iii−i−i11-1-11-11-1i−i
χ101-1-11-11111-11-1-1-111-111-1-1-111-111-1-1-11-1111-1-1-1-11i−iii−i−iii−i−i11-1-1iiii−i−i−i−ii−ii−i−i−iii-1-111-1-1-1-111111-1i−ii−i−i−iii11-1-1-11-11−ii
χ111-1-11-11111-11-1-1-111-111-1-1-111-111-1-1-11-1111-1-1-1-11i−iii−i−iii−i−i11-1-1iiii−i−i−i−i−ii−iiii−i−i11-1-11111-1-1-1-1-11−ii−iiii−i−i-1-111-11-11−ii
χ121-1-11-11111-11-1-1-111-111-1-1-111-111-1-1-11-1111-1-1-1-11i−iii−i−iii−i−i11-1-1iiii−i−i−i−i−ii−ii−i−iii-1-111-1-1-1-11111-11−ii−ii−i−iii-1-1111-11-1i−i
χ131-1-11-11111-11-1-1-111-111-1-1-111-111-1-1-11-1111-1-1-1-11−ii−i−iii−i−iii11-1-1−i−i−i−iiiiii−ii−iii−i−i-1-111-1-1-1-11111-11i−ii−iii−i−i-1-1111-11-1−ii
χ141-1-11-11111-11-1-1-111-111-1-1-111-111-1-1-11-1111-1-1-1-11−ii−i−iii−i−iii11-1-1−i−i−i−iiiiii−ii−i−i−iii11-1-11111-1-1-1-1-11i−ii−i−i−iii-1-111-11-11i−i
χ151-1-11-11111-11-1-1-111-111-1-1-111-111-1-1-11-1111-1-1-1-11−ii−i−iii−i−iii11-1-1−i−i−i−iiiii−ii−iiii−i−i-1-111-1-1-1-111111-1−ii−iiii−i−i11-1-1-11-11i−i
χ161-1-11-11111-11-1-1-111-111-1-1-111-111-1-1-11-1111-1-1-1-11−ii−i−iii−i−iii11-1-1−i−i−i−iiiii−ii−ii−i−iii11-1-11111-1-1-1-11-1−ii−ii−i−iii11-1-11-11-1−ii
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000002-22-20000000000000000002-22-20000000000
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000-22-22000000000000000000-22-220000000000
χ192222222-12222222-1222-1-12-1-1-1-1-1-1-1-1-1-122-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000022-1-1-1-10000-1-1-1-1000000
χ202222222-12222222-1222-1-12-1-1-1-1-1-1-1-1-1-122-122-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000000-2-2111100001111000000
χ212222222-12222222-1222-1-12-1-1-1-1-1-1-1-1-1-122-122-1-1-1-2-2-2-2-2-21111-1-1-1-11111111122220000000000000000-2-2-1-1-1-100001111000000
χ222222222-12222222-1222-1-12-1-1-1-1-1-1-1-1-1-122-122-1-1-1-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-200000000000000002211110000-1-1-1-1000000
χ23222222-122222-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-12-1-122222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022222222-1-1-1-1-1-1-1-1000000-1-1-1-10000000000
χ24222222-122222-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-12-1-122222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-21111111100000011110000000000
χ25222222-122222-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-12-1-1222-2-21111-2-2-2-2-1-1-1-11111111100002222-2-2-2-211111111000000-1-1-1-10000000000
χ26222222-122222-1-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-12-1-1222-2-21111-2-2-2-2-1-1-1-1111111110000-2-2-2-22222-1-1-1-1-1-1-1-100000011110000000000
χ27222222-12-2-2-2-2-1-1-12-1-1-122-1-122-1-1-1-1-1-1-111-211-2-2-200−i3i3−i3i300001111−i3−i3i3i3−i3−i3i3i300002-22-20000−i3−i3i3i3−i3−i3i3i3000000-11-110000000000
χ28222222-12-2-2-2-2-1-1-12-1-1-122-1-122-1-1-1-1-1-1-111-211-2-2-200−i3i3−i3i300001111−i3−i3i3i3−i3−i3i3i30000-22-220000i3i3−i3−i3i3i3−i3−i30000001-11-10000000000
χ29222222-12-2-2-2-2-1-1-12-1-1-122-1-122-1-1-1-1-1-1-111-211-2-2-200i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i300002-22-20000i3i3−i3−i3i3i3−i3−i3000000-11-110000000000
χ30222222-12-2-2-2-2-1-1-12-1-1-122-1-122-1-1-1-1-1-1-111-211-2-2-200i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i30000-22-220000−i3−i3i3i3−i3−i3i3i30000001-11-10000000000
χ312222-2-2222-2-22-2-2222-2-22222-2-2-2-22-2-2222-222-22-2-200000000002-22-200000000000000000000000000000000000000000022-2-200
χ322222-2-2222-2-22-2-2222-2-22222-2-2-2-22-2-2222-222-22-2-200000000002-22-2000000000000000000000000000000000000000000-2-22200
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χ382222-2-22-1-222-2-2-22-12-2-2-1-12-11111-111-1-1-221-221-1-1000000i3−i3i3−i31-11-1i3−i3i3−i3i3−i3i3−i3-2-222000000000000000000-1-1110000−i3i3−i3i3000000
χ392-2-222-22222-2-22222-2-2-2-2-2-22-22-2-2-2222-22-22-22-22-200000000002-2-220000000000000000000000000000000000000000002-2-2200
χ402-2-222-22222-2-22222-2-2-2-2-2-22-22-2-2-2222-22-22-22-22-200000000002-2-22000000000000000000000000000000000000000000-222-200
χ412-2-222-222-2-2222222-2-2-2-2-2-22-22-2-2-2222-2-22-22-22-220000000000-222-2000000002i−2i−2i2i000000000000000000−2i2i2i−2i00000000000000
χ422-2-222-222-2-2222222-2-2-2-2-2-22-22-2-2-2222-2-22-22-22-220000000000-222-200000000−2i2i2i−2i0000000000000000002i−2i−2i2i00000000000000
χ432-2-222-22-1-2-222222-1-2-2-211-2-11-1111-1-1-11-2212-2-11-10000003−3−331-1-113−33−3−33−332i−2i−2i2i000000000000000000i−i−ii0000−i3i3i3−i3000000
χ442-2-222-22-1-2-222222-1-2-2-211-2-11-1111-1-1-11-2212-2-11-10000003−3−331-1-113−33−3−33−33−2i2i2i−2i000000000000000000−iii−i0000i3−i3−i3i3000000
χ452-2-222-22-1-2-222222-1-2-2-211-2-11-1111-1-1-11-2212-2-11-1000000−333−31-1-11−33−333−33−32i−2i−2i2i000000000000000000i−i−ii0000i3−i3−i3i3000000
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χ522-2-22-222-12-22-2-2-22-1-22211-2-1-11-1-1111-1122-1-2-211-1−2i2i−2i−2i2i2iii−i−i-1-111iiii−i−i−i−i−2i2i−2i2i00000000000000002-2i−ii−i0000-1-111000000
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χ542-2-22-22-122-22-211-121-1-1-2-21-12-2-1-1111-11-1-1211-2-222i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii0000−2i−2i2i2i-2-2221111-1-1-1-1000000ii−i−i0000000000
χ552-2-22-22-122-22-211-121-1-1-2-21-12-2-1-1111-11-1-1211-2-22−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i00002i2i−2i−2i-2-2221111-1-1-1-1000000−i−iii0000000000
χ562-2-22-22-122-22-211-121-1-1-2-21-12-2-1-1111-11-1-1211-2-22−2i2iii−i−i−2i−2i2i2i-1-111iiii−i−i−i−i0000−2i−2i2i2i22-2-2-1-1-1-11111000000ii−i−i0000000000
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χ904-4-444-4-2-2-4-444-2-2-2-222222212-2-1-1-1111-12-22-22-22-200000023−23−2323-111-1−33−333−33−30000000000000000000000000000000000000000
χ914-4-444-4-2-2-4-444-2-2-2-222222212-2-1-1-1111-12-22-22-22-2000000−232323−23-111-13−33−3−33−330000000000000000000000000000000000000000
χ924-4-44-444-2-44-44-4-44-2-44422-4-2-22-2-2222-22-4-4244-2-22000000000022-2-2000000000000000000000000000000000000000000000000
χ934-4-44-44-2-24-44-422-2-22-2-22221-2211-1-1-11-1-2-2-22222-24i−4i−2i−2i2i2i−2i−2i2i2i11-1-1iiii−i−i−i−i0000000000000000000000000000000000000000
χ944-4-44-44-2-24-44-422-2-22-2-22221-2211-1-1-11-1-2-2-22222-2−4i4i2i2i−2i−2i2i2i−2i−2i11-1-1−i−i−i−iiiii0000000000000000000000000000000000000000
χ954-4-44-44-2-2-44-4422-2-22-2-22221-2211-1-1-11-1222-2-2-2-220023−23−23230000-1-111−3−33333−3−30000000000000000000000000000000000000000
χ964-4-44-44-2-2-44-4422-2-22-2-22221-2211-1-1-11-1222-2-2-2-2200−232323−230000-1-11133−3−3−3−3330000000000000000000000000000000000000000
χ9788-8-8008-4000000-848004-4-8-400004004-40000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000−4i34i344-4−4i34i34-442002i3−2i3-22i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400004i3−4i344-44i3−4i34-44200−2i32i3-2−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-4000000-84-800-448-40000-400440000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-40000−4i34i34444i3−4i3-44-4200−2i32i322i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004i3−4i3444−4i34i3-44-42002i3−2i32−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.