Finite Group Databasebeta

← Group #11863730

Character table — Group #11863730

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ3111111111111111111111111-1-1-1-1-111-1-1-1-111111-1-111-1-1-1-1-111-1-111-1-1111111111111111111111111-1-1-1-1-111-1-1-1-111111-1-111-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-111
χ51111111111111111111111-1-111111111111-111-1-111-1-11111-111-1-1-1-1-1-11111111111111111111111-1-111111111111-111-1-111-1-11111-111-1-1-1-1-1-1
χ61111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111
χ81111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111111-1-11111-1-11111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111111-1-11111-1-1
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χ852-2-22222-2-2-22-2-222-22-2-22-2200000002-20000000000000000000000-2200-222-2-2-2-2222-222-2-22-222-22-20000000-2200000000000000000000002-200
χ862-2-2222-22-2-22-2-222-22-22-22-20000000-22000002-2000000000002-2000000-222-2-2-22-222-222-2-22-22-22-2200000002-200000-2200000000000-22000000
χ872-2-2222-22-2-22-2-222-22-22-22-20000000-2200000-2200000000000-22000000-222-2-2-22-222-222-2-22-22-22-2200000002-2000002-2000000000002-2000000
χ882-2-22-12-221-2-11-22-11-11-1-2210003−3001-13−33−302-20000003−33−30-11000000-222-21-22-2-121-12-21-11-112-2-1000−3300-11−33−330-22000000−33−3301-1000000
χ892-2-22-12-221-2-11-22-11-11-1-2210003−3001-13−33−30-22000000−33−3301-1000000-222-21-22-2-121-12-21-11-112-2-1000−3300-11−33−3302-20000003−33−30-11000000
χ902-2-22-12-221-2-11-22-11-11-1-221000−33001-1−33−3302-2000000−33−330-11000000-222-21-22-2-121-12-21-11-112-2-10003−300-113−33−30-220000003−33−301-1000000
χ912-2-22-12-221-2-11-22-11-11-1-221000−33001-1−33−330-220000003−33−301-1000000-222-21-22-2-121-12-21-11-112-2-10003−300-113−33−302-2000000−33−330-11000000
χ924444-24-4-4-24-2-244-2-2-2-22-4-4200000002200000000000000000000000000-4-4-4-42-4442-422-4-42222-244-20000000-2-200000000000000000000000000
χ934444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-21111110000000000000000000000-4-4-4-422-4-4222222-1-1-1-1222200-42222-1-1-1-1-1-10000000000000000000000
χ944444-2-244-2-2-2-2-2-21111-2-2-2-200-4222211-1-1-1-10000000000000000000000-4-4-4-422-4-4222222-1-1-1-12222004-2-2-2-2-1-111110000000000000000000000
χ954444-2-2-4-4-2-2-2-2-2-21111222200000−2i32i3-1-1i3i3−i3−i30000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-2000002i3−2i311−i3−i3i3i30000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-211112222000002i3−2i3-1-1−i3−i3i3i30000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-200000−2i32i311i3i3−i3−i30000000000000000000000
χ9744-4-44-2004-2-4-422-2-22200004i−4i000000000000000000−2i2i0000000000000-4-444-4200-4244-2-222-2-20000−4i4i0000000000000000002i−2i0000000000000
χ9844-4-44-2004-2-4-422-2-2220000−4i4i0000000000000000002i−2i0000000000000-4-444-4200-4244-2-222-2-200004i−4i000000000000000000−2i2i0000000000000
χ9944-4-4-2400-2422-4-4-2-2220000000000000000000000−2i22i200i2i2−i2−i2000000000-4-4442-4002-4-2-24422-2-200000000000000000000002i2−2i200−i2−i2i2i2000000000
χ10044-4-4-2400-2422-4-4-2-22200000000000000000000002i2−2i200−i2−i2i2i2000000000-4-4442-4002-4-2-24422-2-20000000000000000000000−2i22i200i2i2−i2−i2000000000
χ1014-44-44400-4-4-444-44-4-44000000000000000000000000000000000000000-44-44-4-400444-4-44-444-4000000000000000000000000000000000000000
χ1024-44-44-200-42-44-22-222-200000000000000000000−2i32i300000000000000000-44-44-42004-24-42-22-2-22000000000000000000002i3−2i300000000000000000
χ1034-44-44-200-42-44-22-222-2000000000000000000002i3−2i300000000000000000-44-44-42004-24-42-22-2-2200000000000000000000−2i32i300000000000000000
χ1044-44-4-24002-42-24-4-222-200000000000000000000000000i6−i6−i6i6000000000-44-442-400-24-22-442-2-2200000000000000000000000000−i6i6i6−i6000000000
χ1054-44-4-24002-42-24-4-222-200000000000000000000000000−i6i6i6−i6000000000-44-442-400-24-22-442-2-2200000000000000000000000000i6−i6−i6i6000000000
χ1064-4-444-24-4-424-42-2-22-22-4-2240000000-2200000000000000000000000000-444-4-42-444-2-44-222-22-242-2-400000002-200000000000000000000000000
χ1074-4-444-2-44-424-42-2-22-2242-2-400000002-200000000000000000000000000-444-4-424-44-2-44-222-22-2-4-2240000000-2200000000000000000000000000
χ1084-4-44-244-42-4-22-44-22-2224-4-20000000-2200000000000000000000000000-444-42-4-44-242-24-42-22-2-2-44200000002-200000000000000000000000000
χ1094-4-44-2-24-422-222-21-11-12-22-200000001-13i−3i−3i3i0000000000000000000000-444-422-44-2-22-2-22-11-11-22-220000000-11−3i3i3i−3i0000000000000000000000
χ1104-4-44-2-24-422-222-21-11-12-22-200000001-1−3i3i3i−3i0000000000000000000000-444-422-44-2-22-2-22-11-11-22-220000000-113i−3i−3i3i0000000000000000000000
χ1114-4-44-2-2-4422-222-21-11-1-22-2200023−2300-11−33−330000000000000000000000-444-4224-4-2-22-2-22-11-112-22-2000−2323001-13−33−30000000000000000000000
χ1124-4-44-2-2-4422-222-21-11-1-22-22000−232300-113−33−30000000000000000000000-444-4224-4-2-22-2-22-11-112-22-200023−23001-1−33−330000000000000000000000
χ11388-8-8-4-400-4-4444422-2-2000000000000000000000000000000000000000-8-888440044-4-4-4-4-2-222000000000000000000000000000000000000000
χ1148-88-8-4-400444-4-442-2-22000000000000000000000000000000000000000-88-884400-4-4-444-4-222-2000000000000000000000000000000000000000

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