Finite Group Databasebeta

← Group #11863781

Character table — Group #11863781

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ3111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1
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
χ61111111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-111111111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-11
χ71111111111111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-111111111111111111111111-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-11
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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χ852-2-222-1-22-2-211-12-111-112-1-20−i3i3001-1−i3−i3i3i3-22000000i3−i3i3−i30000001-10000-222-2-212-222-1-11-21-1-11-1-2120i3−i300-11i3i3−i3−i32-2000000−i3i3−i3i3000000-110000
χ862-2-222-1-22-2-211-12-111-112-1-20i3−i3001-1i3i3−i3−i32-2000000i3−i3i3−i3000000-110000-222-2-212-222-1-11-21-1-11-1-2120−i3i300-11−i3−i3i3i3-22000000−i3i3−i3i30000001-10000
χ872-2-222-1-22-2-211-12-111-112-1-20i3−i3001-1i3i3−i3−i3-22000000−i3i3−i3i30000001-10000-222-2-212-222-1-11-21-1-11-1-2120−i3i300-11−i3−i3i3i32-2000000i3−i3i3−i3000000-110000
χ882-2-22-122-211-2-22-1-111-121-2-1000−i3i3-11−i3i3−i3i3002-200000000−i3i3−i3i30000-1100-222-21-2-22-1-122-211-1-11-2-121000i3−i31-1i3−i3i3−i300-2200000000i3−i3i3−i300001-100
χ892-2-22-122-211-2-22-1-111-121-2-1000−i3i3-11−i3i3−i3i300-2200000000i3−i3i3−i300001-100-222-21-2-22-1-122-211-1-11-2-121000i3−i31-1i3−i3i3−i3002-200000000−i3i3−i3i30000-1100
χ902-2-22-122-211-2-22-1-111-121-2-1000i3−i3-11i3−i3i3−i3002-200000000i3−i3i3−i30000-1100-222-21-2-22-1-122-211-1-11-2-121000−i3i31-1−i3i3−i3i300-2200000000−i3i3−i3i300001-100
χ912-2-22-122-211-2-22-1-111-121-2-1000i3−i3-11i3−i3i3−i300-2200000000−i3i3−i3i300001-100-222-21-2-22-1-122-211-1-11-2-121000−i3i31-1−i3i3−i3i3002-200000000i3−i3i3−i30000-1100
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
χ9844-4-44400-44-44-4-44-44-4000000000000000000000000000000000000000-4-444-4-4004-44-444-44-44000000000000000000000000000000000000000
χ9944-4-44-200-442-22-4-22-22000000000000000000000006−6−66000000000000-4-444-42004-4-22-242-22-200000000000000000000000−666−6000000000000
χ10044-4-44-200-442-22-4-22-2200000000000000000000000−666−6000000000000-4-444-42004-4-22-242-22-2000000000000000000000006−6−66000000000000
χ10144-4-4-24002-2-44-42-22-22000000000000000000000000000i6−i6−i6i600000000-4-4442-400-224-44-22-22-2000000000000000000000000000−i6i6i6−i600000000
χ10244-4-4-24002-2-44-42-22-22000000000000000000000000000−i6i6i6−i600000000-4-4442-400-224-44-22-22-2000000000000000000000000000i6−i6−i6i600000000
χ1034-44-44-2004-4-222-4-2-2220000000000000000000−2i22i200i2i2−i2−i2000000000000-44-44-4200-442-2-2422-2-200000000000000000002i2−2i200−i2−i2i2i2000000000000
χ1044-44-44-2004-4-222-4-2-22200000000000000000002i2−2i200−i2−i2i2i2000000000000-44-44-4200-442-2-2422-2-20000000000000000000−2i22i200i2i2−i2−i2000000000000
χ1054-44-4-2400-224-4-42-2-22200000000000000000000022−220000−2−22200000000-44-442-4002-2-444-222-2-2000000000000000000000−2222000022−2−200000000
χ1064-44-4-2400-224-4-42-2-222000000000000000000000−2222000022−2−200000000-44-442-4002-2-444-222-2-200000000000000000000022−220000−2−22200000000
χ1074-4-444-24-4-4-422-24-222-2-2-42400000-220000000000000000000000000000-444-4-42-4444-2-22-42-2-2224-2-4000002-20000000000000000000000000000
χ1084-4-44-24-4422-4-44-2-222-2-4-242000002-20000000000000000000000000000-444-42-44-4-2-244-422-2-2242-4-200000-220000000000000000000000000000
χ1094-4-44-2-24-42222-2-21-1-11-222-2000−2i32i31-1i3−i3i3−i3000000000000000000000000-444-422-44-2-2-2-222-111-12-2-220002i3−2i3-11−i3i3−i3i3000000000000000000000000
χ1104-4-44-2-24-42222-2-21-1-11-222-20002i3−2i31-1−i3i3−i3i3000000000000000000000000-444-422-44-2-2-2-222-111-12-2-22000−2i32i3-11i3−i3i3−i3000000000000000000000000
χ1114-4-44-2-2-442222-2-21-1-112-2-220−2i32i300-11i3i3−i3−i3000000000000000000000000-444-4224-4-2-2-2-222-111-1-222-202i3−2i3001-1−i3−i3i3i3000000000000000000000000
χ1124-4-44-2-2-442222-2-21-1-112-2-2202i3−2i300-11−i3−i3i3i3000000000000000000000000-444-4224-4-2-2-2-222-111-1-222-20−2i32i3001-1i3i3−i3−i3000000000000000000000000
χ11388-8-8-4-4004-44-4442-22-2000000000000000000000000000000000000000-8-8884400-44-44-4-4-22-22000000000000000000000000000000000000000
χ1148-88-8-4-400-44-444422-2-2000000000000000000000000000000000000000-88-8844004-44-4-4-4-2-222000000000000000000000000000000000000000

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