Finite Group Databasebeta

← Group #11791881

Character table — Group #11791881

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122222334444666666666636666666661212121212121212444444121212121212121212121212121212121212121244888812121212121212124488121212122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-11-1ii−i−i1111-1-1-1-11-1i−i11-1-1ii−i−iii−i−iii−i−ii−i
χ1011111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-11-1−i−iii1111-1-1-1-11-1−ii11-1-1−i−iii−i−iii−i−iii−ii
χ1111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111111-1ii−i−i1111-1-1-1-1-11−ii-1-111ii−i−i−i−iiiii−i−i−ii
χ1211111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111111-1−i−iii1111-1-1-1-1-11i−i-1-111−i−iiiii−i−i−i−iiii−i
χ1311111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-1-1-11111-1-1-1-1-11ii−i−i-1-1-1-11111-11i−i-1-111ii−i−iii−i−i−i−iii−ii
χ1411111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-1-1-11111-1-1-1-1-11−i−iii-1-1-1-11111-11−ii-1-111−i−iii−i−iiiii−i−ii−i
χ1511111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-11-1-111-1-111-1-1-1-1-1-1-1-11111-11ii−i−i-1-1-1-111111-1−ii11-1-1ii−i−i−i−iii−i−iiii−i
χ1611111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-11-1-111-1-111-1-1-1-1-1-1-1-11111-11−i−iii-1-1-1-111111-1i−i11-1-1−i−iiiii−i−iii−i−i−ii
χ172222222-122222222-12-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022220000000000220000-1-1-1-1-1-1-1-1000000
χ182222222-122222222-12-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000-2-2000011111111000000
χ192222222-122222222-12-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-2-21111-2-2-2-2-1-1-1-1111111110022220000000000-2-20000-1-1-1-11111000000
χ202222222-122222222-12-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-2-21111-2-2-2-2-1-1-1-11111111100-2-2-2-200000000002200001111-1-1-1-1000000
χ212222222-1-2-2-2-22222-12-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100002-2-1-11122-2-21111-1-1-1-11111002i2i−2i−2i00000000002i−2i0000−i−iii−i−iii000000
χ222222222-1-2-2-2-22222-12-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100002-2-1-11122-2-21111-1-1-1-1111100−2i−2i2i2i0000000000−2i2i0000ii−i−iii−i−i000000
χ232222222-1-2-2-2-22222-12-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-2211-1-1-2-22211111111-1-1-1-1002i2i−2i−2i0000000000−2i2i0000−i−iiiii−i−i000000
χ242222222-1-2-2-2-22222-12-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-2211-1-1-2-22211111111-1-1-1-100−2i−2i2i2i00000000002i−2i0000ii−i−i−i−iii000000
χ25222222-122222-1-1-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-12200-1-1-1-100000000000000
χ26222222-122222-1-1-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-21111-1-1-1-111111111220000-1-1-1-1-1-1-1-1-2-200111100000000000000
χ27222222-122222-1-1-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000011111111-2-200111100000000000000
χ28222222-122222-1-1-1-12-122-1-1-122-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-21111-1-1-1-111111111-2-20000111111112200-1-1-1-100000000000000
χ29222222-12-2-2-2-2-1-1-1-12-122-1-1-122-1-1-1-1-1-1-11111-2-2-2-222-2-22-222-2-2-1-1111111-1-1-1-111112-20000-1-1-1-111112-200-1-11100000000000000
χ30222222-12-2-2-2-2-1-1-1-12-122-1-1-122-1-1-1-1-1-1-11111-2-2-2-222-2-2-22-2-22211-1-111111111-1-1-1-12-20000-1-1-1-11111-220011-1-100000000000000
χ31222222-12-2-2-2-2-1-1-1-12-122-1-1-122-1-1-1-1-1-1-11111-2-2-2-2-2-2222-222-2-2-1-1111111-1-1-1-11111-2200001111-1-1-1-1-220011-1-100000000000000
χ32222222-12-2-2-2-2-1-1-1-12-122-1-1-122-1-1-1-1-1-1-11111-2-2-2-2-2-222-22-2-22211-1-111111111-1-1-1-1-2200001111-1-1-1-12-200-1-11100000000000000
χ332222-2-2222-2-22-2-2-2-22222222-2-22-2-2-2-22222-2-22-22-222-2-2000000000022-2-200000000-22000022-2-222-2-20000000000000000000000
χ342222-2-2222-2-22-2-2-2-22222222-2-22-2-2-2-22222-2-22-22-2-2-222000000000022-2-2000000002-20000-2-222-2-2220000000000000000000000
χ352222-2-222-222-2-2-2-2-22222222-2-22-2-2-2-222-2-222-22-2222220000000000-2-22200000000-2-2000022-2-2-2-2220000000000000000000000
χ362222-2-222-222-2-2-2-2-22222222-2-22-2-2-2-222-2-222-22-22-2-2-2-20000000000-2-22200000000220000-2-22222-2-20000000000000000000000
χ372222-2-2-122-2-2211112-122-1-1-1-2-2-11111-1-1-1-1112-22-222-2-2000000−i3i3−i3i3-1-111−i3−i3i3i3−i3−i3i3i3-220000-1-111-1-1110000−i3i3−i3i300000000000000
χ382222-2-2-122-2-2211112-122-1-1-1-2-2-11111-1-1-1-1112-22-222-2-2000000i3−i3i3−i3-1-111i3i3−i3−i3i3i3−i3−i3-220000-1-111-1-1110000i3−i3i3−i300000000000000
χ392222-2-2-122-2-2211112-122-1-1-1-2-2-11111-1-1-1-1112-22-2-2-222000000−i3i3−i3i3-1-111−i3−i3i3i3−i3−i3i3i32-2000011-1-111-1-10000i3−i3i3−i300000000000000
χ402222-2-2-122-2-2211112-122-1-1-1-2-2-11111-1-1-1-1112-22-2-2-222000000i3−i3i3−i3-1-111i3i3−i3−i3i3i3−i3−i32-2000011-1-111-1-10000−i3i3−i3i300000000000000
χ412222-2-2-12-222-211112-122-1-1-1-2-2-11111-1-111-1-1-22-222222000000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i3-2-20000-1-11111-1-10000−i3i3i3−i300000000000000
χ422222-2-2-12-222-211112-122-1-1-1-2-2-11111-1-111-1-1-22-222222000000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i3-2-20000-1-11111-1-10000i3−i3−i3i300000000000000
χ432222-2-2-12-222-211112-122-1-1-1-2-2-11111-1-111-1-1-22-22-2-2-2-2000000−i3i3i3−i311-1-1−i3−i3i3i3i3i3−i3−i322000011-1-1-1-1110000i3−i3−i3i300000000000000
χ442222-2-2-12-222-211112-122-1-1-1-2-2-11111-1-111-1-1-22-22-2-2-2-2000000i3−i3−i3i311-1-1i3i3−i3−i3−i3−i3i3i322000011-1-1-1-1110000−i3i3i3−i300000000000000
χ4522-2-22-22222-2-222-2-2-222-2-2-222-2-222-2-22-22-22-22-2-22000000000000002-22-200000000002-22-200000000000000002-22-20000000000
χ4622-2-22-22222-2-222-2-2-222-2-2-222-2-222-2-22-22-22-22-2-22000000000000002-22-20000000000-22-220000000000000000-22-220000000000
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χ4822-2-22-222-2-22222-2-2-222-2-2-222-2-222-2-22-2-22-22-222-200000000000000-22-220000000000−2i2i2i−2i0000000000000000−2i2i2i−2i0000000000
χ4922-2-22-22-122-2-222-2-212-11-2-2-1-111-1-111-112-22-2-111-10000003−33−30000-11-113−33−33−33−3002-22-20000000000000000-11-113−33−3000000
χ5022-2-22-22-122-2-222-2-212-11-2-2-1-111-1-111-112-22-2-111-10000003−33−30000-11-113−33−33−33−300-22-2200000000000000001-11-1−33−33000000
χ5122-2-22-22-122-2-222-2-212-11-2-2-1-111-1-111-112-22-2-111-1000000−33−330000-11-11−33−33−33−33002-22-20000000000000000-11-11−33−33000000
χ5222-2-22-22-122-2-222-2-212-11-2-2-1-111-1-111-112-22-2-111-1000000−33−330000-11-11−33−33−33−3300-22-2200000000000000001-11-13−33−3000000
χ5322-2-22-22-1-2-22222-2-212-11-2-2-1-111-1-111-11-22-221-1-110000003−3−3300001-11-13−33−3−33−33002i−2i−2i2i0000000000000000−iii−ii3−i3−i3i3000000
χ5422-2-22-22-1-2-22222-2-212-11-2-2-1-111-1-111-11-22-221-1-110000003−3−3300001-11-13−33−3−33−3300−2i2i2i−2i0000000000000000i−i−ii−i3i3i3−i3000000
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χ988-88-800-4-40000−4i34i3−4i34i3-4444-4420022i3−2i32i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-400004i3−4i34i3−4i3-4444-442002−2i32i3−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-4000000004-84-4-88-400400004-40000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000−4i34i34i3−4i3444-44-4200-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004i3−4i3−4i34i3444-44-4200-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).