Finite Group Databasebeta

← Group #11869401

Character table — Group #11869401

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222444444446688888888888121212121212121212121212122424242424363636361111222222222244444444668888888888812121212121212121212121212242424242436363636
order122233446666663666121212122241212121212121212121244466881212242424244121212124488222266446666666666121212122241212121212121212121244466881212242424244121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111-1-111-1-1-1-11-1-111-1-1-1-1111111111111111111111111111111111111-1-111-1-111-1-1-1-11-1-111-1-1-1-1
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
χ9222222-2-22222222222-2-2-2-22200000-2-20000-2002200-2-20000000000000222222-2-22222222222-2-2-2-22200000-2-20000-2002200-2-20000000000000
χ10222222-2-22222222222-2-2-2-2-2-200000-2-20000200-2-200220000000000000222222-2-22222222222-2-2-2-2-2-200000-2-20000200-2-200220000000000000
χ1122222-122-122-12-1-1-1-1-12-1-1222222-1-1-1-1-1-1-1-1200-1-100-1-10000200-1-1000022222-122-122-12-1-1-1-1-12-1-1222222-1-1-1-1-1-1-1-1200-1-100-1-10000200-1-10000
χ1222222-122-122-12-1-1-1-1-12-1-1222-2-2-211-1-11111200-1-100-1-10000-20011000022222-122-122-12-1-1-1-1-12-1-1222-2-2-211-1-11111200-1-100-1-10000-200110000
χ1322222-122-122-12-1-1-1-1-12-1-12-2-2222-1-1-1-1-1-1-1-1-2001100110000-20011000022222-122-122-12-1-1-1-1-12-1-12-2-2222-1-1-1-1-1-1-1-1-2001100110000-200110000
χ1422222-122-122-12-1-1-1-1-12-1-12-2-2-2-2-211-1-11111-2001100110000200-1-1000022222-122-122-12-1-1-1-1-12-1-12-2-2-2-2-211-1-11111-2001100110000200-1-10000
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χ1622222-1-2-2-122-12-1-1-1-1-1-211-222000i3−i311i3i3−i3−i3-200-1-100110000000i3−i3000022222-1-2-2-122-12-1-1-1-1-1-211-222000i3−i311i3i3−i3−i3-200-1-100110000000i3−i30000
χ1722222-1-2-2-122-12-1-1-1-1-1-211-2-2-2000−i3i311−i3−i3i3i32001100-1-10000000i3−i3000022222-1-2-2-122-12-1-1-1-1-1-211-2-2-2000−i3i311−i3−i3i3i32001100-1-10000000i3−i30000
χ1822222-1-2-2-122-12-1-1-1-1-1-211-2-2-2000i3−i311i3i3−i3−i32001100-1-10000000−i3i3000022222-1-2-2-122-12-1-1-1-1-1-211-2-2-2000i3−i311i3i3−i3−i32001100-1-10000000−i3i30000
χ192222-12222-1-12-12-1-1-1-1-122-1002-1-122-1-1-1-1-1-1022002200-1-1-1-10-1-10000002222-12222-1-12-12-1-1-1-1-122-1002-1-122-1-1-1-1-1-1022002200-1-1-1-10-1-1000000
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χ312-2-2222002-2-2-22-222-2-200002-2000000000000002-2−i2i200−i2i2−i2i20000000−i2i22-2-2222002-2-2-22-222-2-200002-2000000000000002-2−i2i200−i2i2−i2i20000000−i2i2
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χ354444-24-4-44-2-24-24-2-2-2-22-4-42000000022000000000000000000000000004444-24-4-44-2-24-24-2-2-2-22-4-4200000002200000000000000000000000000
χ364444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-211111100000000000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-2004-2-2-2-21111110000000000000000000000
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χ4344-4-4-2400-42-242-4-222-2000000000000000000000000006−6−6600000000044-4-4-2400-42-242-4-222-2000000000000000000000000006−6−66000000000
χ4444-4-4-2400-42-242-4-222-200000000000000000000000000−666−600000000044-4-4-2400-42-242-4-222-200000000000000000000000000−666−6000000000
χ454-44-44-24-424-42-4-2-22-22-4-2240000000-22000000000000000000000000004-44-44-24-424-42-4-2-22-22-4-2240000000-2200000000000000000000000000
χ464-44-44-2-4424-42-4-2-22-2242-2-400000002-2000000000000000000000000004-44-44-2-4424-42-4-2-22-2242-2-400000002-200000000000000000000000000
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χ58111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ59111111111111111111111111111111111111-1-111-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-111-1-11111
χ60111111111111111111111111-1-1-1-1-111-1-1-1-111111-1-111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-111-1-111111-1-111-1-111
χ61111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-111-1-1-1-1-1-1-1-1-1-11111111-1-1
χ621111111111111111111111-1-111111111111-111-1-111-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11-1-1111111
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χ641111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1-11111111111-1-1-1-1-111-1-1
χ651111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111111-1-111-1-1-1-1-111-1-1-1-111
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χ852-22-2-122-2-2-11-212-11-1112-2-10003−300-113−33−30−2i2i000000i3i3−i3−i30i−i000000-22-221-2-2221-12-1-21-11-1-1-221000−33001-1−33−3302i−2i000000−i3−i3i3i30−ii000000
χ862-22-2-122-2-2-11-212-11-1112-2-1000−3300-11−33−3302i−2i000000i3i3−i3−i30−ii000000-22-221-2-2221-12-1-21-11-1-1-2210003−3001-13−33−30−2i2i000000−i3−i3i3i30i−i000000
χ872-22-2-122-2-2-11-212-11-1112-2-1000−3300-11−33−330−2i2i000000−i3−i3i3i30i−i000000-22-221-2-2221-12-1-21-11-1-1-2210003−3001-13−33−302i−2i000000i3i3−i3−i30−ii000000
χ882-2-2222002-2-2-22-222-2-200002-2000000000000002-2−i2i200−i2i2−i2i20000000−i2i2-222-2-2-200-2222-22-2-2220000-2200000000000000-22i2−i200i2−i2i2−i20000000i2−i2
χ892-2-2222002-2-2-22-222-2-200002-2000000000000002-2i2−i200i2−i2i2−i20000000i2−i2-222-2-2-200-2222-22-2-2220000-2200000000000000-22−i2i200−i2i2−i2i20000000−i2i2
χ902-2-2222002-2-2-22-222-2-20000-2200000000000000-22−i2i200−i2i2−i2i20000000i2−i2-222-2-2-200-2222-22-2-22200002-2000000000000002-2i2−i200i2−i2i2−i20000000−i2i2
χ912-2-2222002-2-2-22-222-2-20000-2200000000000000-22i2−i200i2−i2i2−i20000000−i2i2-222-2-2-200-2222-22-2-22200002-2000000000000002-2−i2i200−i2i2−i2i20000000i2−i2
χ924444-24-4-44-2-24-24-2-2-2-22-4-4200000002200000000000000000000000000-4-4-4-42-444-422-42-42222-244-20000000-2-200000000000000000000000000
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
χ9744-4-44400-4-444-4-44-4-44000000000000000000000000000000000000000-4-444-4-40044-4-444-444-4000000000000000000000000000000000000000
χ9844-4-44-2002-44-2-42-222-200000000000000000000000023−230000000000000-4-444-4200-24-424-22-2-22000000000000000000000000−23230000000000000
χ9944-4-44-2002-44-2-42-222-2000000000000000000000000−23230000000000000-4-444-4200-24-424-22-2-2200000000000000000000000023−230000000000000
χ10044-4-4-2400-42-242-4-222-2000000000000000000000000006−6−66000000000-4-4442-4004-22-4-242-2-2200000000000000000000000000−666−6000000000
χ10144-4-4-2400-42-242-4-222-200000000000000000000000000−666−6000000000-4-4442-4004-22-4-242-2-22000000000000000000000000006−6−66000000000
χ1024-44-44-24-424-42-4-2-22-22-4-2240000000-2200000000000000000000000000-44-44-42-44-2-44-2422-22-242-2-400000002-200000000000000000000000000
χ1034-44-44-2-4424-42-4-2-22-2242-2-400000002-200000000000000000000000000-44-44-424-4-2-44-2422-22-2-4-2240000000-2200000000000000000000000000
χ1044-44-4-24-44-4-22-424-22-22-2-44200000002-200000000000000000000000000-44-442-44-442-24-2-42-22-224-4-20000000-2200000000000000000000000000
χ1054-44-4-2-24-42-2222-21-11-12-22-200023−23001-1−33−330000000000000000000000-44-4422-44-22-2-2-22-11-11-22-22000−232300-113−33−30000000000000000000000
χ1064-44-4-2-24-42-2222-21-11-12-22-2000−2323001-13−33−30000000000000000000000-44-4422-44-22-2-2-22-11-11-22-2200023−2300-11−33−330000000000000000000000
χ1074-44-4-2-2-442-2222-21-11-1-22-220000000-113i−3i−3i3i0000000000000000000000-44-44224-4-22-2-2-22-11-112-22-200000001-1−3i3i3i−3i0000000000000000000000
χ1084-44-4-2-2-442-2222-21-11-1-22-220000000-11−3i3i3i−3i0000000000000000000000-44-44224-4-22-2-2-22-11-112-22-200000001-13i−3i−3i3i0000000000000000000000
χ1094-4-444-200-2-4-4242-2-22200004-400000000000000-2200000000000000000-444-4-4200244-2-4-222-2-20000-44000000000000002-200000000000000000
χ1104-4-444-200-2-4-4242-2-2220000-44000000000000002-200000000000000000-444-4-4200244-2-4-222-2-200004-400000000000000-2200000000000000000
χ1114-4-44-2400422-4-2-4-2-2220000000000000000000000−2i22i200i2−i2i2−i2000000000-444-42-400-4-2-242422-2-200000000000000000000002i2−2i200−i2i2−i2i2000000000
χ1124-4-44-2400422-4-2-4-2-22200000000000000000000002i2−2i200−i2i2−i2i2000000000-444-42-400-4-2-242422-2-20000000000000000000000−2i22i200i2−i2i2−i2000000000
χ11388-8-8-4-40044-4-4442-2-22000000000000000000000000000000000000000-8-8884400-4-444-4-4-222-2000000000000000000000000000000000000000
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).