Finite Group Databasebeta

← Group #11790494

Character table — Group #11790494

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order122222334444666666666636666666661212121212121212888844121212121212121212121212121212121212121288888824242424242424244488121212122424242424242424444488
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
χ911-1-11-111-11-1111-1-1-1-111-1-111-111-1-1-11-111-1-1-111-111-1-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i1-1ii−i−i1111-1-1-1-1i−i1-1ii−i−iii−i−i11-1-1i−ii−i1-1
χ1011-1-11-111-11-1111-1-1-1-111-1-111-111-1-1-11-111-1-1-111-111-1-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i1-1−i−iii1111-1-1-1-1i−i-11ii−i−i−i−iii-1-111−ii−ii-11
χ1111-1-11-111-11-1111-1-1-1-111-1-111-111-1-1-11-111-1-1-111-111-1-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii1-1ii−i−i1111-1-1-1-1−ii-11−i−iiiii−i−i-1-111i−ii−i-11
χ1211-1-11-111-11-1111-1-1-1-111-1-111-111-1-1-11-111-1-1-111-111-1-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii1-1−i−iii1111-1-1-1-1−ii1-1−i−iii−i−iii11-1-1−ii−ii1-1
χ1311-1-11-111-11-1111-1-1-1-111-1-111-111-1-1-11-111-1-1-111-1-1-111i−iii−i−iii−i−i11-1-1iiii−i−i−i−i-11ii−i−i-1-1-1-11111−ii1-1−i−iiiii−i−i11-1-1−ii−ii-11
χ1411-1-11-111-11-1111-1-1-1-111-1-111-111-1-1-11-111-1-1-111-1-1-111i−iii−i−iii−i−i11-1-1iiii−i−i−i−i-11−i−iii-1-1-1-11111−ii-11−i−iii−i−iii-1-111i−ii−i1-1
χ1511-1-11-111-11-1111-1-1-1-111-1-111-111-1-1-11-111-1-1-111-1-1-111−ii−i−iii−i−iii11-1-1−i−i−i−iiiii-11ii−i−i-1-1-1-11111i−i-11ii−i−iii−i−i-1-111−ii−ii1-1
χ1611-1-11-111-11-1111-1-1-1-111-1-111-111-1-1-11-111-1-1-111-1-1-111−ii−i−iii−i−iii11-1-1−i−i−i−iiiii-11−i−iii-1-1-1-11111i−i1-1ii−i−i−i−iii11-1-1i−ii−i-11
χ1722222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-200000000002i−2i2i−2i00000000000000002i−2i2i−2i0000000000
χ1822222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-200000000000000-2-2-2-20000000000−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000
χ192222222-1222222222-12-1-12-1-1-1-1-1-1-1-1-1-12-122-12-1-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022220000000000220000-1-1-1-1-1-1-1-1000000
χ202222222-1222222222-12-1-12-1-1-1-1-1-1-1-1-1-12-122-12-1-1000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000000000-2-2000011111111000000
χ212222222-1222222222-12-1-12-1-1-1-1-1-1-1-1-1-12-122-12-1-10000-2-21111-2-2-2-2-1-1-1-1111111110022220000000000-2-20000-1-1-1-11111000000
χ222222222-1222222222-12-1-12-1-1-1-1-1-1-1-1-1-12-122-12-1-10000-2-21111-2-2-2-2-1-1-1-11111111100-2-2-2-200000000002200001111-1-1-1-1000000
χ232222222-1-2-2-2-222222-12-1-12-1-1-1-1-1-1-1-1-1-1-21-2-21-211000000−i3i3−i3i300001111−i3−i3i3i3−i3−i3i3i3002i−2i2i−2i0000000000000000−ii−ii3−33−3000000
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χ252222222-1-2-2-2-222222-12-1-12-1-1-1-1-1-1-1-1-1-1-21-2-21-211000000i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i3002i−2i2i−2i0000000000000000−ii−ii−33−33000000
χ262222222-1-2-2-2-222222-12-1-12-1-1-1-1-1-1-1-1-1-1-21-2-21-211000000i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i300−2i2i−2i2i0000000000000000i−ii−i3−33−3000000
χ27222222-122222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-1-12-1-12-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-1-1-1-1-12200-1-1-1-100000000000000
χ28222222-122222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-1-12-1-12-1222222-2-2-2-2-2-21111-1-1-1-111111111220000-1-1-1-1-1-1-1-1-2-200111100000000000000
χ29222222-122222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-1-12-1-12-122-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000011111111-2-200111100000000000000
χ30222222-122222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-1-12-1-12-122-2-2-2-2-2-2-2-2-2-21111-1-1-1-111111111-2-20000111111112200-1-1-1-100000000000000
χ312222-2-2222-2-22-2-22-2-2222222-2-2-2-22-2-2222-22-22-22-2000000000000002-22-20000000000000000000000000000000000000022-2-200
χ322222-2-2222-2-22-2-22-2-2222222-2-2-2-22-2-2222-22-22-22-2000000000000002-22-200000000000000000000000000000000000000-2-22200
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χ4022-2-22-2222-22-222-2-2-2-222-2-222-222-2-2-22-2-2-2222-2-2200000000000000-2-2220000000000-222-20000000000000000-222-20000000000
χ4122-2-22-22-12-22-222-2-2-212-11-2-1-11-1-1111-11-2122-1-21-10000003−3−33000011-1-133−3−3−3−333002-2-220000000000000000-111-1−333−3000000
χ4222-2-22-22-12-22-222-2-2-212-11-2-1-11-1-1111-11-2122-1-21-10000003−3−33000011-1-133−3−3−3−33300-222-200000000000000001-1-113−3−33000000
χ4322-2-22-22-12-22-222-2-2-212-11-2-1-11-1-1111-11-2122-1-21-1000000−333−3000011-1-1−3−33333−3−3002-2-220000000000000000-111-13−3−33000000
χ4422-2-22-22-12-22-222-2-2-212-11-2-1-11-1-1111-11-2122-1-21-1000000−333−3000011-1-1−3−33333−3−300-222-200000000000000001-1-11−333−3000000
χ4522-2-22-22-1-22-2222-2-2-212-11-2-1-11-1-1111-112-1-2-212-1100002i−2i−i−iii2i2i−2i−2i-1-111−i−i−i−iiiii002i2i−2i−2i00000000002-20000−i−iii-1-111000000
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χ944-4-4400-240000−2i32i322i3−2i3-42-44-2-200−2i32i322i3−2i32-200000000−222222−2200000000000000000000000000002−2−i6i6−22i6−i60000000000000000000000
χ954-4-4400-2400002i3−2i32−2i32i3-42-44-2-2002i3−2i32−2i32i32-20000000022−22−22220000000000000000000000000000−22−i6i62−2i6−i60000000000000000000000
χ964-4-4400-2400002i3−2i32−2i32i3-42-44-2-2002i3−2i32−2i32i32-200000000−222222−2200000000000000000000000000002−2i6−i6−22−i6i60000000000000000000000
χ978-88-8008-4000000800-4-844-8-40000-400440000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000−4i34i3-4−4i34i3-444442002i3−2i322i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-400004i3−4i3-44i3−4i3-44444200−2i32i32−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88008-4000000-8004-84-48-400004004-40000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-40000−4i34i344i3−4i3444-4-42002i3−2i3-2−2i32i3-220000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004i3−4i34−4i34i3444-4-4200−2i32i3-22i3−2i3-220000000000000000000000000000000000000000000000000000000000000000000000

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