Finite Group Databasebeta

← Group #11863584

Character table — Group #11863584

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222444444446688888888888121212121212121212121212122424242424363636361111222222222244444444668888888888812121212121212121212121212242424242436363636
order12223344666666366612121212224121212121212121212122246688121224242424466121222882222664466666666661212121222412121212121212121212224668812122424242446612122288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1111-1-111-1-1-1-11-1-111-1-1-1-111111111111111111111111111111111111-1-1111-1-111-1-1-1-11-1-111-1-1-1-1
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
χ4111111111111111111111111-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-111
χ51111111111111111111111-1-11111111111111-1-1-111-1-11111-111-1-1-1-1-1-11111111111111111111111-1-11111111111111-1-1-111-1-11111-111-1-1-1-1-1-1
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
χ71111111111111111111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-1111111111111111111111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-111
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
χ9222222-2-22222222222-2-2-2-22200000-2-2000000-22200-2-20000000000000222222-2-22222222222-2-2-2-22200000-2-2000000-22200-2-20000000000000
χ10222222-2-22222222222-2-2-2-2-2-200000-2-20000002-2-200220000000000000222222-2-22222222222-2-2-2-2-2-200000-2-20000002-2-200220000000000000
χ1122222-1222-1-12-12-1-1-1-1-122-100222-1-1-1-1-1-1-1-1220002200-1-1-1-10-1-100000022222-1222-1-12-12-1-1-1-1-122-100222-1-1-1-1-1-1-1-1220002200-1-1-1-10-1-1000000
χ1222222-1222-1-12-12-1-1-1-1-122-100222-1-1-1-1-1-1-1-1-2-2000-2-200111101100000022222-1222-1-12-12-1-1-1-1-122-100222-1-1-1-1-1-1-1-1-2-2000-2-2001111011000000
χ1322222-1222-1-12-12-1-1-1-1-122-100-2-2-211-1-1111122000-2-20011110-1-100000022222-1222-1-12-12-1-1-1-1-122-100-2-2-211-1-1111122000-2-20011110-1-1000000
χ1422222-1222-1-12-12-1-1-1-1-122-100-2-2-211-1-11111-2-20002200-1-1-1-101100000022222-1222-1-12-12-1-1-1-1-122-100-2-2-211-1-11111-2-20002200-1-1-1-1011000000
χ152222-1222-122-12-1-1-1-1-12-1-12222-1-122-1-1-1-1-1-1002-1-100-1-10000200-1-100002222-1222-122-12-1-1-1-1-12-1-12222-1-122-1-1-1-1-1-1002-1-100-1-10000200-1-10000
χ162222-1222-122-12-1-1-1-1-12-1-1222-211-2-2-1-11111002-1-100-1-10000-2001100002222-1222-122-12-1-1-1-1-12-1-1222-211-2-2-1-11111002-1-100-1-10000-200110000
χ172222-1222-122-12-1-1-1-1-12-1-12-2-22-1-122-1-1-1-1-1-100-21100110000-2001100002222-1222-122-12-1-1-1-1-12-1-12-2-22-1-122-1-1-1-1-1-100-21100110000-200110000
χ182222-1222-122-12-1-1-1-1-12-1-12-2-2-211-2-2-1-1111100-21100110000200-1-100002222-1222-122-12-1-1-1-1-12-1-12-2-2-211-2-2-1-1111100-21100110000200-1-10000
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χ2622-2-2220022-2-2-2-222-2-20000-2200000000000000-22i2−i200i2i2−i2−i20000000−i2i222-2-2220022-2-2-2-222-2-20000-2200000000000000-22i2−i200i2i2−i2−i20000000−i2i2
χ272-2-22222-2-2-22-2-222-22-2-22-2200000002-200000000000000000000002-2002-2-22222-2-2-22-2-222-22-2-22-2200000002-200000000000000000000002-200
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χ3544444-2-4-44-2-24-24-2-2-2-22-4-420000000220000000000000000000000000044444-2-4-44-2-24-24-2-2-2-22-4-4200000002200000000000000000000000000
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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χ474-44-4-24002-4-4-242-222-200000000000000000000000023−2300000000000004-44-4-24002-4-4-242-222-200000000000000000000000023−230000000000000
χ484-44-4-24002-4-4-242-222-2000000000000000000000000−232300000000000004-44-4-24002-4-4-242-222-2000000000000000000000000−23230000000000000
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χ524-4-44-2-24-422-222-21-11-12-22-200000001-13i−3i−3i3i00000000000000000000004-4-44-2-24-422-222-21-11-12-22-200000001-13i−3i−3i3i0000000000000000000000
χ534-4-44-2-24-422-222-21-11-12-22-200000001-1−3i3i3i−3i00000000000000000000004-4-44-2-24-422-222-21-11-12-22-200000001-1−3i3i3i−3i0000000000000000000000
χ544-4-44-2-2-4422-222-21-11-1-22-220000023−23-11−33−3300000000000000000000004-4-44-2-2-4422-222-21-11-1-22-220000023−23-11−33−330000000000000000000000
χ554-4-44-2-2-4422-222-21-11-1-22-2200000−2323-113−33−300000000000000000000004-4-44-2-2-4422-222-21-11-1-22-2200000−2323-113−33−30000000000000000000000
χ5688-8-8-4-400-4-4444422-2-200000000000000000000000000000000000000088-8-8-4-400-4-4444422-2-2000000000000000000000000000000000000000
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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
χ5911111111111111111111111111111111111-1-1111-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-111-1-11111
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
χ61111111111111111111111111-1-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1
χ621111111111111111111111-1-11111111111111-1-1-111-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11-1-1111111
χ631111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ641111111111111111111111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1-111111111111-1-1-1-1-111-1-1
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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χ6822222-1222-1-12-12-1-1-1-1-122-100222-1-1-1-1-1-1-1-1220002200-1-1-1-10-1-1000000-2-2-2-2-21-2-2-211-21-211111-2-2100-2-2-211111111-2-2000-2-2001111011000000
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χ8022-2-2220022-2-2-2-222-2-200002-2000000000000002-2−i2i200−i2−i2i2i20000000−i2i2-2-222-2-200-2-22222-2-2220000-2200000000000000-22i2−i200i2i2−i2−i20000000i2−i2
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χ852-2-22222-2-2-22-2-222-22-2-22-2200000002-20000000000000000000000-2200-222-2-2-2-2222-222-2-22-222-22-20000000-2200000000000000000000002-200
χ862-2-2222-22-2-22-2-222-22-22-22-20000000-2200002-20000000000002-2000000-222-2-2-22-222-222-2-22-22-22-2200000002-20000-22000000000000-22000000
χ872-2-2222-22-2-22-2-222-22-22-22-20000000-220000-22000000000000-22000000-222-2-2-22-222-222-2-22-22-22-2200000002-200002-20000000000002-2000000
χ882-2-222-1-22-21-1-212-11-11-1-221000003−31-13−33−32-200000003−33−30-11000000-222-2-212-22-112-1-21-11-112-2-100000−33-11−33−33-220000000−33−3301-1000000
χ892-2-222-1-22-21-1-212-11-11-1-221000003−31-13−33−3-220000000−33−3301-1000000-222-2-212-22-112-1-21-11-112-2-100000−33-11−33−332-200000003−33−30-11000000
χ902-2-222-1-22-21-1-212-11-11-1-22100000−331-1−33−332-20000000−33−330-11000000-222-2-212-22-112-1-21-11-112-2-1000003−3-113−33−3-2200000003−33−301-1000000
χ912-2-222-1-22-21-1-212-11-11-1-22100000−331-1−33−33-2200000003−33−301-1000000-222-2-212-22-112-1-21-11-112-2-1000003−3-113−33−32-20000000−33−330-11000000
χ9244444-2-4-44-2-24-24-2-2-2-22-4-4200000002200000000000000000000000000-4-4-4-4-4244-422-42-42222-244-20000000-2-200000000000000000000000000
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
χ954444-2-2-4-4-2-2-2-2-2-211112222000−2i32i300-1-1i3i3−i3−i30000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-20002i3−2i30011−i3−i3i3i30000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-2111122220002i3−2i300-1-1−i3−i3i3i30000000000000000000000-4-4-4-42244222222-1-1-1-1-2-2-2-2000−2i32i30011i3i3−i3−i30000000000000000000000
χ9744-4-44-2004-22-42-4-2-2220000000000000000000000−2i22i200i2i2−i2−i2000000000-4-444-4200-42-24-2422-2-200000000000000000000002i2−2i200−i2−i2i2i2000000000
χ9844-4-44-2004-22-42-4-2-22200000000000000000000002i2−2i200−i2−i2i2i2000000000-4-444-4200-42-24-2422-2-20000000000000000000000−2i22i200i2i2−i2−i2000000000
χ9944-4-4-2400-24-42-42-2-22200004-400000000000000-2200000000000000000-4-4442-4002-44-24-222-2-20000-44000000000000002-200000000000000000
χ10044-4-4-2400-24-42-42-2-2220000-44000000000000002-200000000000000000-4-4442-4002-44-24-222-2-200004-400000000000000-2200000000000000000
χ1014-44-44400-4-4-444-44-4-44000000000000000000000000000000000000000-44-44-4-400444-4-44-444-4000000000000000000000000000000000000000
χ1024-44-44-200-4224-2-4-222-200000000000000000000000000i6−i6−i6i6000000000-44-44-42004-2-2-4242-2-2200000000000000000000000000−i6i6i6−i6000000000
χ1034-44-44-200-4224-2-4-222-200000000000000000000000000−i6i6i6−i6000000000-44-44-42004-2-2-4242-2-2200000000000000000000000000i6−i6−i6i6000000000
χ1044-44-4-24002-4-4-242-222-200000000000000000000000023−230000000000000-44-442-400-2442-4-22-2-22000000000000000000000000−23230000000000000
χ1054-44-4-24002-4-4-242-222-2000000000000000000000000−23230000000000000-44-442-400-2442-4-22-2-2200000000000000000000000023−230000000000000
χ1064-4-444-24-4-42-2-424-22-2224-4-20000000-2200000000000000000000000000-444-4-42-444-224-2-42-22-2-2-44200000002-200000000000000000000000000
χ1074-4-44-244-42-442-4-2-22-22-4-2240000000-2200000000000000000000000000-444-42-4-44-24-4-2422-22-242-2-400000002-200000000000000000000000000
χ1084-4-44-24-442-442-4-2-22-2242-2-400000002-200000000000000000000000000-444-42-44-4-24-4-2422-22-2-4-2240000000-2200000000000000000000000000
χ1094-4-44-2-24-422-222-21-11-12-22-200000001-13i−3i−3i3i0000000000000000000000-444-422-44-2-22-2-22-11-11-22-220000000-11−3i3i3i−3i0000000000000000000000
χ1104-4-44-2-24-422-222-21-11-12-22-200000001-1−3i3i3i−3i0000000000000000000000-444-422-44-2-22-2-22-11-11-22-220000000-113i−3i−3i3i0000000000000000000000
χ1114-4-44-2-2-4422-222-21-11-1-22-220000023−23-11−33−330000000000000000000000-444-4224-4-2-22-2-22-11-112-22-200000−23231-13−33−30000000000000000000000
χ1124-4-44-2-2-4422-222-21-11-1-22-2200000−2323-113−33−30000000000000000000000-444-4224-4-2-22-2-22-11-112-22-20000023−231-1−33−330000000000000000000000
χ11388-8-8-4-400-4-4444422-2-2000000000000000000000000000000000000000-8-888440044-4-4-4-4-2-222000000000000000000000000000000000000000
χ1148-88-8-4-400444-4-442-2-22000000000000000000000000000000000000000-88-884400-4-4-444-4-222-2000000000000000000000000000000000000000

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