Finite Group Databasebeta

← Group #11865705

Character table — Group #11865705

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ3111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-1111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ51111111111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-11111111111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1
χ61111111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-111111111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-11
χ71111111111111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-111111111111111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-11
χ81111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11-11111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-11-1
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χ8422-2-2-12-2211-22-2-1-111-1-212-1000−i3i31-1−i3i3−i3i32-2000000−i3−i3i3i300000000-1100-2-2221-22-2-1-12-2211-1-112-1-21000i3−i3-11i3−i3i3−i3-22000000i3i3−i3−i3000000001-100
χ8522-2-2-12-2211-22-2-1-111-1-212-1000−i3i31-1−i3i3−i3i3-22000000i3i3−i3−i3000000001-100-2-2221-22-2-1-12-2211-1-112-1-21000i3−i3-11i3−i3i3−i32-2000000−i3−i3i3i300000000-1100
χ8622-2-2-12-2211-22-2-1-111-1-212-1000i3−i31-1i3−i3i3−i32-2000000i3i3−i3−i300000000-1100-2-2221-22-2-1-12-2211-1-112-1-21000−i3i3-11−i3i3−i3i3-22000000−i3−i3i3i3000000001-100
χ8722-2-2-12-2211-22-2-1-111-1-212-1000i3−i31-1i3−i3i3−i3-22000000−i3−i3i3i3000000001-100-2-2221-22-2-1-12-2211-1-112-1-21000−i3i3-11−i3i3−i3i32-2000000i3i3−i3−i300000000-1100
χ882-2-2222002-2-2-22-222-2-200000000000000000002−2−i2i22−22−2−i2i2−i2i22i−2i000000-222-2-2-200-2222-22-2-2220000000000000000000−22i2−i2−22−22i2−i2i2−i2−2i2i000000
χ892-2-2222002-2-2-22-222-2-200000000000000000002−2i2−i22−22−2i2−i2i2−i2−2i2i000000-222-2-2-200-2222-22-2-2220000000000000000000−22−i2i2−22−22−i2i2−i2i22i−2i000000
χ902-2-2222002-2-2-22-222-2-20000000000000000000−22−i2i2−22−22−i2i2−i2i2−2i2i000000-222-2-2-200-2222-22-2-22200000000000000000002−2i2−i22−22−2i2−i2i2−i22i−2i000000
χ912-2-2222002-2-2-22-222-2-20000000000000000000−22i2−i2−22−22i2−i2i2−i22i−2i000000-222-2-2-200-2222-22-2-22200000000000000000002−2−i2i22−22−2−i2i2−i2i2−2i2i000000
χ9244444-2-4-444-2-2-24-2-2-2-22-42-400000220000000000000000000000000000-4-4-4-4-4244-4-4222-42222-24-2400000-2-20000000000000000000000000000
χ934444-24-4-4-2-2444-2-2-2-2-2-42-4200000220000000000000000000000000000-4-4-4-42-44422-4-4-4222224-24-200000-2-20000000000000000000000000000
χ944444-2-244-2-2-2-2-2-21111-2-2-2-24-2-2-2-2111111000000000000000000000000-4-4-4-422-4-4222222-1-1-1-12222-42222-1-1-1-1-1-1000000000000000000000000
χ954444-2-244-2-2-2-2-2-21111-2-2-2-2-4222211-1-1-1-1000000000000000000000000-4-4-4-422-4-4222222-1-1-1-122224-2-2-2-2-1-11111000000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-21111222200000-1-13-3-33000000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-20000011-333-3000000000000000000000000
χ974444-2-2-4-4-2-2-2-2-2-21111222200000-1-1-333-3000000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-200000113-3-33000000000000000000000000
χ9844-4-44-2-44-4-42-224-222-22-4-24000002-20000000000000000000000000000-4-444-424-444-22-2-42-2-22-242-400000-220000000000000000000000000000
χ9944-4-4-244-422-44-4-2-222-24-2-4200000-220000000000000000000000000000-4-4442-4-44-2-24-4422-2-22-424-2000002-20000000000000000000000000000
χ10044-4-4-2-24-4222-22-21-1-11-2-2220−2i32i3001-1i3i3−i3−i3000000000000000000000000-4-44422-44-2-2-22-22-111-122-2-202i3−2i300-11−i3−i3i3i3000000000000000000000000
χ10144-4-4-2-24-4222-22-21-1-11-2-22202i3−2i3001-1−i3−i3i3i3000000000000000000000000-4-44422-44-2-2-22-22-111-122-2-20−2i32i300-11i3i3−i3−i3000000000000000000000000
χ10244-4-4-2-2-44222-22-21-1-1122-2-2000−2i32i3-11i3−i3i3−i3000000000000000000000000-4-444224-4-2-2-22-22-111-1-2-2220002i3−2i31-1−i3i3−i3i3000000000000000000000000
χ10344-4-4-2-2-44222-22-21-1-1122-2-20002i3−2i3-11−i3i3−i3i3000000000000000000000000-4-444224-4-2-2-22-22-111-1-2-222000−2i32i31-1i3−i3i3−i3000000000000000000000000
χ1044-44-44400-444-4-4-44-44-4000000000000000000000000000000000000000-44-44-4-4004-4-4444-44-44000000000000000000000000000000000000000
χ1054-44-44-200-44-222-4-22-22000000000000000000000000000i6−i6−i6i600000000-44-44-42004-42-2-242-22-2000000000000000000000000000−i6i6i6−i600000000
χ1064-44-44-200-44-222-4-22-22000000000000000000000000000−i6i6i6−i600000000-44-44-42004-42-2-242-22-2000000000000000000000000000i6−i6−i6i600000000
χ1074-44-4-24002-24-4-42-22-2200000000000000000000000i6−i6−i6i6000000000000-44-442-400-22-444-22-22-200000000000000000000000−i6i6i6−i6000000000000
χ1084-44-4-24002-24-4-42-22-2200000000000000000000000−i6i6i6−i6000000000000-44-442-400-22-444-22-22-200000000000000000000000i6−i6−i6i6000000000000
χ1094-4-444-2004-422-2-4-2-222000000000000000000000−2i22i20000i2−i2i2−i200000000-444-4-4200-44-2-22422-2-20000000000000000000002i2−2i20000−i2i2−i2i200000000
χ1104-4-444-2004-422-2-4-2-2220000000000000000000002i2−2i20000−i2i2−i2i200000000-444-4-4200-44-2-22422-2-2000000000000000000000−2i22i20000i2−i2i2−i200000000
χ1114-4-44-2400-22-4-442-2-222000000000000000000022−2200−22−22000000000000-444-42-4002-244-4-222-2-20000000000000000000−2222002−22−2000000000000
χ1124-4-44-2400-22-4-442-2-2220000000000000000000−2222002−22−2000000000000-444-42-4002-244-4-222-2-2000000000000000000022−2200−22−22000000000000
χ1138-88-8-4-4004-4-44442-22-2000000000000000000000000000000000000000-88-884400-444-4-4-4-22-22000000000000000000000000000000000000000
χ1148-8-88-4-400-4444-4422-2-2000000000000000000000000000000000000000-888-844004-4-4-44-4-2-222000000000000000000000000000000000000000

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