Finite Group Databasebeta

← Group #11868356

Character table — Group #11868356

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222244444444448888888888121212121212121212121212181824242424242436363611112222222222444444444488888888881212121212121212121212121818242424242424363636
order122233446666662236661212121266666666121288882424242424242424444412121212444222266446666662266661212121266666666121288882424242424242424444412121212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-1-1-11111-1-1-11-1-111-1-1-11111111111111111111111111111111111-1-111-1-1-1-11111-1-1-11-1-111-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ511111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11-1-111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11-1-1
χ611111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11-1-111-11111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11-1-111-111
χ711111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11-111-1-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11-111-1-1-111
χ811111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
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χ1122222-1222-12-12-122-1-1-1-12-12-122-1-1-1-1-1-1-1-100220000-1-1-1-1000200-1-100022222-1222-12-12-122-1-1-1-12-12-122-1-1-1-1-1-1-1-100220000-1-1-1-1000200-1-1000
χ1222222-1222-12-12-122-1-1-1-12-12-122-1-1-1-1-1-1-1-100-2-200001111000-2001100022222-1222-12-12-122-1-1-1-12-12-122-1-1-1-1-1-1-1-100-2-200001111000-20011000
χ1322222-1222-12-12-1-2-2-1-1-1-12-12-1-2-2111111-1-100220000-1-1-1-1000-2001100022222-1222-12-12-1-2-2-1-1-1-12-12-1-2-2111111-1-100220000-1-1-1-1000-20011000
χ1422222-1222-12-12-1-2-2-1-1-1-12-12-1-2-2111111-1-100-2-200001111000200-1-100022222-1222-12-12-1-2-2-1-1-1-12-12-1-2-2111111-1-100-2-200001111000200-1-1000
χ152222-1222-12-12-1222-1-1-1-1-12-12-1-122-1-1-1-1-1-12200-1-1-1-100000020-1-1000002222-1222-12-12-1222-1-1-1-1-12-12-1-122-1-1-1-1-1-12200-1-1-1-100000020-1-100000
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χ172222-1222-12-12-12-2-2-1-1-1-1-12-1211-2-21111-1-12200-1-1-1-1000000-2011000002222-1222-12-12-12-2-2-1-1-1-1-12-1211-2-21111-1-12200-1-1-1-1000000-201100000
χ182222-1222-12-12-12-2-2-1-1-1-1-12-1211-2-21111-1-1-2-200111100000020-1-1000002222-1222-12-12-12-2-2-1-1-1-1-12-1211-2-21111-1-1-2-200111100000020-1-100000
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χ2822-2-2-122-21-2-121-22-2-111-1-121-2-112-2-1-111-110000−3−33300000000−330000022-2-2-122-21-2-121-22-2-111-1-121-2-112-2-1-111-110000−3−33300000000−3300000
χ2922-2-2-122-21-2-121-2-22-111-1-121-21-1-2211-1-1-11000033−3−300000000−330000022-2-2-122-21-2-121-2-22-111-1-121-21-1-2211-1-1-11000033−3−300000000−3300000
χ3022-2-2-122-21-2-121-2-22-111-1-121-21-1-2211-1-1-110000−3−333000000003−30000022-2-2-122-21-2-121-2-22-111-1-121-21-1-2211-1-1-110000−3−333000000003−300000
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χ59111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-111111
χ601111111111111111111111111111111111-1-111-1-1-1-11111-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-111-1-1111
χ611111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1
χ6211111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111
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χ6511111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-111
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χ8722-2-2-122-21-2-121-2-22-111-1-121-21-1-2211-1-1-110000−3−333000000003−300000-2-2221-2-22-121-2-122-21-1-111-2-12-112-2-1-1111-1000033−3−300000000−3300000
χ882-22-22200-22-2-22-20022-2-2000000000000002−2−i2i22−22−2−i2i2−i2i22i−2i000000000-22-22-2-2002-222-2200-2-22200000000000000−22i2−i2−22−22i2−i2i2−i2−2i2i000000000
χ892-22-22200-22-2-22-20022-2-2000000000000002−2i2−i22−22−2i2−i2i2−i2−2i2i000000000-22-22-2-2002-222-2200-2-22200000000000000−22−i2i2−22−22−i2i2−i2i22i−2i000000000
χ902-22-22200-22-2-22-20022-2-200000000000000−22−i2i2−22−22−i2i2−i2i2−2i2i000000000-22-22-2-2002-222-2200-2-222000000000000002−2i2−i22−22−2i2−i2i2−i22i−2i000000000
χ912-22-22200-22-2-22-20022-2-200000000000000−22i2−i2−22−22i2−i2i2−i22i−2i000000000-22-22-2-2002-222-2200-2-222000000000000002−2−i2i22−22−2−i2i2−i2i2−2i2i000000000
χ9244444-2-4-44-24-24-200-2-2-2-2-42-42000000002200000000000000000000000-4-4-4-4-4244-42-42-420022224-24-200000000-2-200000000000000000000000
χ934444-24-4-4-24-24-2400-2-2-2-22-42-4000000002200000000000000000000000-4-4-4-42-4442-42-42-4002222-24-2400000000-2-200000000000000000000000
χ944444-2-244-2-2-2-2-2-2441111-2-2-2-2-2-2-2-211111100000000000000000000000-4-4-4-422-4-4222222-4-4-1-1-1-122222222-1-1-1-1-1-100000000000000000000000
χ954444-2-244-2-2-2-2-2-2-4-41111-2-2-2-22222-1-1-1-11100000000000000000000000-4-4-4-422-4-422222244-1-1-1-12222-2-2-2-21111-1-100000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-2001111222200003-33-3-1-100000000000000000000000-4-4-4-4224422222200-1-1-1-1-2-2-2-20000-33-331100000000000000000000000
χ974444-2-2-4-4-2-2-2-2-2-200111122220000-33-33-1-100000000000000000000000-4-4-4-4224422222200-1-1-1-1-2-2-2-200003-33-31100000000000000000000000
χ9844-4-44-2-44-424-2-4200-222-2-424-2000000002-200000000000000000000000-4-444-424-44-2-424-2002-2-224-2-4200000000-2200000000000000000000000
χ9944-4-4-24-442-4-242-400-222-22-4-24000000002-200000000000000000000000-4-4442-44-4-242-4-24002-2-22-242-400000000-2200000000000000000000000
χ10044-4-4-2-24-422-2-2224-41-1-11-2-222-22-2211-1-11-100000000000000000000000-4-44422-44-2-222-2-2-44-111-122-2-22-22-2-1-111-1100000000000000000000000
χ10144-4-4-2-24-422-2-222-441-1-11-2-2222-22-2-1-1111-100000000000000000000000-4-44422-44-2-222-2-24-4-111-122-2-2-22-2211-1-1-1100000000000000000000000
χ10244-4-4-2-2-4422-2-222001-1-1122-2-200003-3-33-1100000000000000000000000-4-444224-4-2-222-2-200-111-1-2-2220000-333-31-100000000000000000000000
χ10344-4-4-2-2-4422-2-222001-1-1122-2-20000-333-3-1100000000000000000000000-4-444224-4-2-222-2-200-111-1-2-22200003-3-331-100000000000000000000000
χ1044-44-44-200-4-2-424200-2-2220000000000000000−2i22i20000i2−i2i2−i200000000000-44-44-4200424-2-4-20022-2-200000000000000002i2−2i20000−i2i2−i2i200000000000
χ1054-44-44-200-4-2-424200-2-22200000000000000002i2−2i20000−i2i2−i2i200000000000-44-44-4200424-2-4-20022-2-20000000000000000−2i22i20000i2−i2i2−i200000000000
χ1064-44-4-2400242-4-2-400-2-2220000000000000022−2200−22−22000000000000000-44-442-400-2-4-24240022-2-200000000000000−2222002−22−2000000000000000
χ1074-44-4-2400242-4-2-400-2-22200000000000000−2222002−22−2000000000000000-44-442-400-2-4-24240022-2-20000000000000022−2200−22−22000000000000000
χ1084-4-4444004-4-4-4-44004-44-40000000000000000000000000000000000000-444-4-4-400-44444-400-44-440000000000000000000000000000000000000
χ1094-4-444-20042-42-4-200-22-220000000000000000000000i6−i6−i6i600000000000-444-4-4200-4-24-242002-22-20000000000000000000000−i6i6i6−i600000000000
χ1104-4-444-20042-42-4-200-22-220000000000000000000000−i6i6i6−i600000000000-444-4-4200-4-24-242002-22-20000000000000000000000i6−i6−i6i600000000000
χ1114-4-44-2400-2-42-42400-22-220000000000000000006−6−66000000000000000-444-42-40024-24-2-4002-22-2000000000000000000−666−6000000000000000
χ1124-4-44-2400-2-42-42400-22-22000000000000000000−666−6000000000000000-444-42-40024-24-2-4002-22-20000000000000000006−6−66000000000000000
χ1138-88-8-4-4004-444-440022-2-20000000000000000000000000000000000000-88-884400-44-4-44-400-2-2220000000000000000000000000000000000000
χ1148-8-88-4-400-44444-4002-22-20000000000000000000000000000000000000-888-844004-4-4-4-4400-22-220000000000000000000000000000000000000

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