Finite Group Databasebeta

← Group #11865549

Character table — Group #11865549

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222244444444448888888888121212121212121212121212181824242424242436363611112222222222444444444488888888881212121212121212121212121818242424242424363636
order12223344666666223666121212126666666612128888242424242424242444246612124442222664466666622666612121212666666661212888824242424242424244424661212444
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
χ9222222-2-2222222002222-2-2-2-200000000-2-200000000000022000000-200222222-2-2222222002222-2-2-2-200000000-2-200000000000022000000-200
χ10222222-2-2222222002222-2-2-2-200000000-2-2000000000000-2-2000000200222222-2-2222222002222-2-2-2-200000000-2-2000000000000-2-2000000200
χ1122222-12222-1-1-1222-1-1-1-1-12-1222-1-1-1-1-1-1-1-12200-1-1-1-100000020-1-10000022222-12222-1-1-1222-1-1-1-1-12-1222-1-1-1-1-1-1-1-12200-1-1-1-100000020-1-100000
χ1222222-12222-1-1-1222-1-1-1-1-12-1222-1-1-1-1-1-1-1-1-2-2001111000000-20110000022222-12222-1-1-1222-1-1-1-1-12-1222-1-1-1-1-1-1-1-1-2-2001111000000-201100000
χ1322222-12222-1-1-12-2-2-1-1-1-1-12-12-2-2111111-1-12200-1-1-1-1000000-20110000022222-12222-1-1-12-2-2-1-1-1-1-12-12-2-2111111-1-12200-1-1-1-1000000-201100000
χ1422222-12222-1-1-12-2-2-1-1-1-1-12-12-2-2111111-1-1-2-200111100000020-1-10000022222-12222-1-1-12-2-2-1-1-1-1-12-12-2-2111111-1-1-2-200111100000020-1-100000
χ152222-1222-1-1222-122-1-1-1-12-12-1-1-122-1-1-1-1-1-100220000-1-1-1-1000200-1-10002222-1222-1-1222-122-1-1-1-12-12-1-1-122-1-1-1-1-1-100220000-1-1-1-1000200-1-1000
χ162222-1222-1-1222-122-1-1-1-12-12-1-1-122-1-1-1-1-1-100-2-200001111000-200110002222-1222-1-1222-122-1-1-1-12-12-1-1-122-1-1-1-1-1-100-2-200001111000-20011000
χ172222-1222-1-1222-1-2-2-1-1-1-12-12-111-2-21111-1-100220000-1-1-1-1000-200110002222-1222-1-1222-1-2-2-1-1-1-12-12-111-2-21111-1-100220000-1-1-1-1000-20011000
χ182222-1222-1-1222-1-2-2-1-1-1-12-12-111-2-21111-1-100-2-200001111000200-1-10002222-1222-1-1222-1-2-2-1-1-1-12-12-111-2-21111-1-100-2-200001111000200-1-1000
χ1922-2-2222-2-2-2-2-222002-2-2222-2-2000000002-20000000000000000000002i−2i22-2-2222-2-2-2-2-222002-2-2222-2-2000000002-20000000000000000000002i−2i
χ2022-2-2222-2-2-2-2-222002-2-2222-2-2000000002-2000000000000000000000−2i2i22-2-2222-2-2-2-2-222002-2-2222-2-2000000002-2000000000000000000000−2i2i
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χ2722-2-2-12-2211-2-22-12-2-111-1-212-1-112-2-1-1111-100000000−i3−i3i3i3000000−i3i300022-2-2-12-2211-2-22-12-2-111-1-212-1-112-2-1-1111-100000000−i3−i3i3i3000000−i3i3000
χ2822-2-2-12-2211-2-22-12-2-111-1-212-1-112-2-1-1111-100000000i3i3−i3−i3000000i3−i300022-2-2-12-2211-2-22-12-2-111-1-212-1-112-2-1-1111-100000000i3i3−i3−i3000000i3−i3000
χ2922-2-2-12-2211-2-22-1-22-111-1-212-11-1-2211-1-11-100000000−i3−i3i3i3000000i3−i300022-2-2-12-2211-2-22-1-22-111-1-212-11-1-2211-1-11-100000000−i3−i3i3i3000000i3−i3000
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χ3544444-2-4-444-2-2-2400-2-2-2-22-42-400000000220000000000000000000000044444-2-4-444-2-2-2400-2-2-2-22-42-4000000002200000000000000000000000
χ364444-24-4-4-2-2444-200-2-2-2-2-42-420000000022000000000000000000000004444-24-4-4-2-2444-200-2-2-2-2-42-42000000002200000000000000000000000
χ374444-2-244-2-2-2-2-2-2441111-2-2-2-2-2-2-2-2111111000000000000000000000004444-2-244-2-2-2-2-2-2441111-2-2-2-2-2-2-2-211111100000000000000000000000
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χ404444-2-2-4-4-2-2-2-2-2-200111122220000-33-33-1-1000000000000000000000004444-2-2-4-4-2-2-2-2-2-200111122220000-33-33-1-100000000000000000000000
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χ4544-4-4-2-2-442222-2-24-41-1-1122-2-2-22-2211-1-1-110000000000000000000000044-4-4-2-2-442222-2-24-41-1-1122-2-2-22-2211-1-1-1100000000000000000000000
χ4644-4-4-2-2-442222-2-2-441-1-1122-2-22-22-2-1-111-110000000000000000000000044-4-4-2-2-442222-2-2-441-1-1122-2-22-22-2-1-111-1100000000000000000000000
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χ568-88-8-4-400-44-44440022-2-200000000000000000000000000000000000008-88-8-4-400-44-44440022-2-20000000000000000000000000000000000000
χ578-8-88-4-4004-44-444002-22-200000000000000000000000000000000000008-8-88-4-4004-44-444002-22-20000000000000000000000000000000000000
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
χ59111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-111111
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
χ6311111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111-111-1-11-1-1
χ6411111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-111-11-1-1111-1-1
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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χ67222222-2-2222222002222-2-2-2-200000000-2-2000000000000-2-2000000200-2-2-2-2-2-222-2-2-2-2-2-200-2-2-2-22222000000002200000000000022000000-200
χ6822222-12222-1-1-1222-1-1-1-1-12-1222-1-1-1-1-1-1-1-12200-1-1-1-100000020-1-100000-2-2-2-2-21-2-2-2-2111-2-2-211111-21-2-2-211111111-2-2001111000000-201100000
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χ752222-1222-1-1222-1-2-2-1-1-1-12-12-111-2-21111-1-100-2-200001111000200-1-1000-2-2-2-21-2-2-211-2-2-21221111-21-21-1-122-1-1-1-11100220000-1-1-1-1000-20011000
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χ8122-2-22-1-22-2-211-122-2-111-11-2-122-2-11-1-1111-10000i3i3−i3−i300000000i3−i300000-2-222-212-222-1-11-2-221-1-11-121-2-221-111-1-1-110000−i3−i3i3i300000000−i3i300000
χ8222-2-22-1-22-2-211-12-22-111-11-2-12-221-111-1-11-10000−i3−i3i3i300000000i3−i300000-2-222-212-222-1-11-22-21-1-11-121-22-2-11-1-111-110000i3i3−i3−i300000000−i3i300000
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χ8422-2-2-12-2211-2-22-12-2-111-1-212-1-112-2-1-1111-100000000−i3−i3i3i3000000−i3i3000-2-2221-22-2-1-122-21-221-1-112-1-211-1-2211-1-1-1100000000i3i3−i3−i3000000i3−i3000
χ8522-2-2-12-2211-2-22-12-2-111-1-212-1-112-2-1-1111-100000000i3i3−i3−i3000000i3−i3000-2-2221-22-2-1-122-21-221-1-112-1-211-1-2211-1-1-1100000000−i3−i3i3i3000000−i3i3000
χ8622-2-2-12-2211-2-22-1-22-111-1-212-11-1-2211-1-11-100000000−i3−i3i3i3000000i3−i3000-2-2221-22-2-1-122-212-21-1-112-1-21-112-2-1-111-1100000000i3i3−i3−i3000000−i3i3000
χ8722-2-2-12-2211-2-22-1-22-111-1-212-11-1-2211-1-11-100000000i3i3−i3−i3000000−i3i3000-2-2221-22-2-1-122-212-21-1-112-1-21-112-2-1-111-1100000000−i3−i3i3i3000000i3−i3000
χ882-22-222002-22-2-2-20022-2-2000000000000002−2−i2i22−22−2−i2i2−i2i22i−2i000000000-22-22-2-200-22-222200-2-22200000000000000−22i2−i2−22−22i2−i2i2−i2−2i2i000000000
χ892-22-222002-22-2-2-20022-2-2000000000000002−2i2−i22−22−2i2−i2i2−i2−2i2i000000000-22-22-2-200-22-222200-2-22200000000000000−22−i2i2−22−22−i2i2−i2i22i−2i000000000
χ902-22-222002-22-2-2-20022-2-200000000000000−22−i2i2−22−22−i2i2−i2i2−2i2i000000000-22-22-2-200-22-222200-2-222000000000000002−2i2−i22−22−2i2−i2i2−i22i−2i000000000
χ912-22-222002-22-2-2-20022-2-200000000000000−22i2−i2−22−22i2−i2i2−i22i−2i000000000-22-22-2-200-22-222200-2-222000000000000002−2−i2i22−22−2−i2i2−i2i2−2i2i000000000
χ9244444-2-4-444-2-2-2400-2-2-2-22-42-4000000002200000000000000000000000-4-4-4-4-4244-4-4222-4002222-24-2400000000-2-200000000000000000000000
χ934444-24-4-4-2-2444-200-2-2-2-2-42-42000000002200000000000000000000000-4-4-4-42-44422-4-4-420022224-24-200000000-2-200000000000000000000000
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
χ9844-4-44-24-4-4-422-2400-222-2-242-400000000-2200000000000000000000000-4-444-42-4444-2-22-4002-2-222-4-24000000002-200000000000000000000000
χ9944-4-4-244-422-4-44-200-222-24-2-4200000000-2200000000000000000000000-4-4442-4-44-2-244-42002-2-22-424-2000000002-200000000000000000000000
χ10044-4-4-2-24-42222-2-2001-1-11-2-22200003-3-331-100000000000000000000000-4-44422-44-2-2-2-22200-111-122-2-20000-333-3-1100000000000000000000000
χ10144-4-4-2-24-42222-2-2001-1-11-2-2220000-333-31-100000000000000000000000-4-44422-44-2-2-2-22200-111-122-2-200003-3-33-1100000000000000000000000
χ10244-4-4-2-2-442222-2-24-41-1-1122-2-2-22-2211-1-1-1100000000000000000000000-4-444224-4-2-2-2-222-44-111-1-2-2222-22-2-1-1111-100000000000000000000000
χ10344-4-4-2-2-442222-2-2-441-1-1122-2-22-22-2-1-111-1100000000000000000000000-4-444224-4-2-2-2-2224-4-111-1-2-222-22-2211-1-11-100000000000000000000000
χ1044-44-44-2004-4-222-400-2-2220000000000000022−2200−22−22000000000000000-44-44-4200-442-2-240022-2-200000000000000−2222002−22−2000000000000000
χ1054-44-44-2004-4-222-400-2-22200000000000000−2222002−22−2000000000000000-44-44-4200-442-2-240022-2-20000000000000022−2200−22−22000000000000000
χ1064-44-4-2400-224-4-4200-2-2220000000000000000−2i22i20000i2−i2i2−i200000000000-44-442-4002-2-444-20022-2-200000000000000002i2−2i20000−i2i2−i2i200000000000
χ1074-44-4-2400-224-4-4200-2-22200000000000000002i2−2i20000−i2i2−i2i200000000000-44-442-4002-2-444-20022-2-20000000000000000−2i22i20000i2−i2i2−i200000000000
χ1084-4-444400-44-44-4-4004-44-40000000000000000000000000000000000000-444-4-4-4004-44-44400-44-440000000000000000000000000000000000000
χ1094-4-444-200-442-22-400-22-22000000000000000000i6−i6−i6i6000000000000000-444-4-42004-4-22-24002-22-2000000000000000000−i6i6i6−i6000000000000000
χ1104-4-444-200-442-22-400-22-22000000000000000000−i6i6i6−i6000000000000000-444-4-42004-4-22-24002-22-2000000000000000000i6−i6−i6i6000000000000000
χ1114-4-44-24002-2-44-4200-22-2200000000000000000000006−6−6600000000000-444-42-400-224-44-2002-22-20000000000000000000000−666−600000000000
χ1124-4-44-24002-2-44-4200-22-220000000000000000000000−666−600000000000-444-42-400-224-44-2002-22-200000000000000000000006−6−6600000000000
χ1138-88-8-4-400-44-44440022-2-20000000000000000000000000000000000000-88-8844004-44-4-4-400-2-2220000000000000000000000000000000000000
χ1148-8-88-4-4004-44-444002-22-20000000000000000000000000000000000000-888-84400-44-44-4-400-22-220000000000000000000000000000000000000

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