Finite Group Databasebeta

← Group #11887291

Character table — Group #11887291

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order1222334444666666121212123444666121212121212121212121212888841212121212121212121212121212121212121212122288888824242424242424242244244661212242424242461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ61111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-111
χ81111111111111111111111-1-1111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ9111111-1-111111111-1-1-1-11-111111-1-1-1-11-1-1-1-11111111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11-1-111-1-111-1-1-111-11-1
χ10111111-1-111111111-1-1-1-11-111111-1-1-1-11-1-1-1-11111111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-1-1-1111-1-11-11
χ11111111-1-111111111-1-1-1-11-111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-11111-1-11-11-1-11
χ12111111-1-111111111-1-1-1-11-111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-111-1-111-1-111-11-111-1
χ13111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-111-1-11111-1-1-11-11-11
χ14111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-111-1-1111-11-11-1
χ15111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-1111-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-1111-1-111-1-11-1-111-1
χ16111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-1111-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-11-1-111-1-1-1-111-111-1-11
χ1722222222-2-222222222222-20022222-2-2-22222-2-2-200000-200000000-2-2-2-2000000000000000000000000222200000000000-2-20000
χ1822222222-2-222222222222-20022222-2-2-22222-2-2-200000-200000000-2-2-2-2000000000000000000000000-2-2-2-200000000000220000
χ19222222-2-2-2-2222222-2-2-2-22200222-2-222-2-2-2-2-2-2-2-200000200000000-2-22200000000000000000000000022-2-2000000000002-20000
χ20222222-2-2-2-2222222-2-2-2-22200222-2-222-2-2-2-2-2-2-2-200000200000000-2-222000000000000000000000000-2-22200000000000-220000
χ2122222-1222222-1-1-12-1-1-1-1-1222-1-1-122-1-12-1-1-1-1-1-1222222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000020-1-1-1-10000000000
χ2222222-1222222-1-1-12-1-1-1-1-1222-1-1-122-1-12-1-1-1-1-1-12-2-2-2-22222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000-2011110000000000
χ2322222-1222222-1-1-12-1-1-1-1-12-2-2-1-1-122-1-12-1-1-1-1-1-122222-22-2-21111-2-2-1-1-1-111111111-2-2220000-1-1-1-1-1-1-1-100000-2011110000000000
χ2422222-1222222-1-1-12-1-1-1-1-12-2-2-1-1-122-1-12-1-1-1-1-1-12-2-2-2-2-22-2-21111-2-2-1-1-1-11111111122-2-20000111111110000020-1-1-1-10000000000
χ2522222-1-2-22222-1-1-121111-1-222-1-1-1-2-21121111-1-122222-2-222-1-111-2-2-1-111-1-1-1-1111122-2-20000-1-1-1-1111100000-20-1-1110000000000
χ2622222-1-2-22222-1-1-121111-1-222-1-1-1-2-21121111-1-12-2-2-2-2-2-222-1-111-2-2-1-111-1-1-1-11111-2-22200001111-1-1-1-1000002011-1-10000000000
χ2722222-1-2-22222-1-1-121111-1-2-2-2-1-1-1-2-21121111-1-1222222-2-2-211-1-122-1-1111111-1-1-1-1-2-2-2-20000-1-1-1-11111000002011-1-10000000000
χ2822222-1-2-22222-1-1-121111-1-2-2-2-1-1-1-2-21121111-1-12-2-2-2-22-2-2-211-1-122-1-1111111-1-1-1-1222200001111-1-1-1-100000-20-1-1110000000000
χ292222-122222-1-1222-12222-1222-1-1-1-1-122-1-1-1-1-122-100002-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000002020000-1-1-1-100-1-100
χ302222-122222-1-1222-12222-1222-1-1-1-1-122-1-1-1-1-122-100002-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-20-200001111001100
χ312222-122222-1-1222-12222-12-2-2-1-1-1-1-122-1-1-1-1-122-10000-2-111-2-2-2-211-1-1-1-11111111100002222000000000000-20-20000-1-1-1-1001100
χ322222-122222-1-1222-12222-12-2-2-1-1-1-1-122-1-1-1-1-122-10000-2-111-2-2-2-211-1-1-1-1111111110000-2-2-2-20000000000002020000111100-1-100
χ332222-12-2-222-1-1222-1-2-2-2-2-1-222-1-1-111-2-2-1111122-10000-21-1-122-2-211-1-111-1-1-1-11111000022-2-200000000000020-20000-1-11100-1100
χ342222-12-2-222-1-1222-1-2-2-2-2-1-222-1-1-111-2-2-1111122-10000-21-1-122-2-211-1-111-1-1-1-111110000-2-222000000000000-202000011-1-1001-100
χ352222-12-2-222-1-1222-1-2-2-2-2-1-2-2-2-1-1-111-2-2-1111122-100002111-2-222-1-1-1-1111111-1-1-1-1000022-2-2000000000000-2020000-1-111001-100
χ362222-12-2-222-1-1222-1-2-2-2-2-1-2-2-2-1-1-111-2-2-1111122-100002111-2-222-1-1-1-1111111-1-1-1-10000-2-22200000000000020-2000011-1-100-1100
χ3722-2-2222i−2i00-222-2-2-22i2i−2i−2i2000-22-22i−2i0002i2i−2i−2i00022−2−2000000000000000000000000−i2i22−2−i2i222−2−2−i2−i2i2i22-22i−2i00000002−2−i2i2000000
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χ4022-2-2222i−2i00-222-2-2-22i2i−2i−2i2000-22-22i−2i0002i2i−2i−2i000−2−222000000000000000000000000i2−i2−22i2−i2−2−222i2i2−i2−i22-22i−2i0000000−22i2−i2000000
χ4122-2-222−2i2i00-222-2-2-2−2i−2i2i2i2000-22-2−2i2i000−2i−2i2i2i00022−2−2000000000000000000000000i2−i22−2i2−i222−2−2i2i2−i2−i22-2−2i2i00000002−2i2−i2000000
χ4222-2-222−2i2i00-222-2-2-2−2i−2i2i2i2000-22-2−2i2i000−2i−2i2i2i00022−2−2000000000000000000000000i2−i2−22−i2i222−2−2i2i2−i2−i2-222i−2i0000000−22−i2i2000000
χ4322-2-222−2i2i00-222-2-2-2−2i−2i2i2i2000-22-2−2i2i000−2i−2i2i2i000−2−222000000000000000000000000−i2i22−2i2−i2−2−222−i2−i2i2i2-222i−2i00000002−2i2−i2000000
χ4422-2-222−2i2i00-222-2-2-2−2i−2i2i2i2000-22-2−2i2i000−2i−2i2i2i000−2−222000000000000000000000000−i2i2−22−i2i2−2−222−i2−i2i2i22-2−2i2i0000000−22−i2i2000000
χ452-2-2222002-2-2-2-22-220000202i−2i-2-220000200002-2-22i−2i2i−2i002i−2i2i−2i00002-2002i2i−2i−2i00002-20000002i−2i2i−2i000000000002-2000000000000
χ462-2-2222002-2-2-2-22-220000202i−2i-2-220000200002-2-2−2i2i−2i2i002i−2i2i−2i00002-2002i2i−2i−2i0000-22000000−2i2i−2i2i00000000000-22000000000000
χ472-2-2222002-2-2-2-22-22000020−2i2i-2-220000200002-2-22i−2i2i−2i00−2i2i−2i2i00002-200−2i−2i2i2i0000-220000002i−2i2i−2i00000000000-22000000000000
χ482-2-2222002-2-2-2-22-22000020−2i2i-2-220000200002-2-2−2i2i−2i2i00−2i2i−2i2i00002-200−2i−2i2i2i00002-2000000−2i2i−2i2i000000000002-2000000000000
χ492-2-222-1002-2-2-21-1123−33−3-102i−2i11-1003−323−33−3-11-22i−2i2i−2i002i−2i−ii−i3i300-113−3−i−iii−i3−i3i3i32-2000000−ii−ii−i3i3−i3i30000000-113−30000000000
χ502-2-222-1002-2-2-21-1123−33−3-102i−2i11-1003−323−33−3-11-2−2i2i−2i2i002i−2i−ii−i3i300-113−3−i−iii−i3−i3i3i3-22000000i−ii−ii3−i3i3−i300000001-1−330000000000
χ512-2-222-1002-2-2-21-1123−33−3-10−2i2i11-1003−323−33−3-11-22i−2i2i−2i00−2i2ii−ii3−i300-113−3ii−i−ii3i3−i3−i3-22000000−ii−ii−i3i3−i3i300000001-1−330000000000
χ522-2-222-1002-2-2-21-1123−33−3-10−2i2i11-1003−323−33−3-11-2−2i2i−2i2i00−2i2ii−ii3−i300-113−3ii−i−ii3i3−i3−i32-2000000i−ii−ii3−i3i3−i30000000-113−30000000000
χ532-2-222-1002-2-2-21-112−33−33-102i−2i11-100−332−33−33-11-22i−2i2i−2i002i−2i−iii3−i300-11−33−i−iiii3i3−i3−i32-2000000−ii−iii3−i3i3−i30000000-11−330000000000
χ542-2-222-1002-2-2-21-112−33−33-102i−2i11-100−332−33−33-11-2−2i2i−2i2i002i−2i−iii3−i300-11−33−i−iiii3i3−i3−i3-22000000i−ii−i−i3i3−i3i300000001-13−30000000000
χ552-2-222-1002-2-2-21-112−33−33-10−2i2i11-100−332−33−33-11-22i−2i2i−2i00−2i2ii−i−i3i300-11−33ii−i−i−i3−i3i3i3-22000000−ii−iii3−i3i3−i300000001-13−30000000000
χ562-2-222-1002-2-2-21-112−33−33-10−2i2i11-100−332−33−33-11-2−2i2i−2i2i00−2i2ii−i−i3i300-11−33ii−i−i−i3−i3i3i32-2000000i−ii−i−i3i3−i3i30000000-11−330000000000
χ5744444-244-4-444-2-2-24-2-2-2-2-2-400-2-2-24422-4-2-2-2-222-400000-4000000002222000000000000000000000000000000000000000000000
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χ654444-2-2-4-444-2-2-2-2-2-222221-4441112222-2-1-1-1-1-2-2-20000-42-2-2-2-2222211-1-11111-1-1-1-10000000000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-222221-4-4-41112222-2-1-1-1-1-2-2-20000422222-2-2-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
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χ924-4-44-2-2004-4222-22-2−2323−2323104i−4i-1-1100−2323-23−33−3-222000000−2i2i−2i2i2i3−2i3001-13−3ii−i−i−i3−i3i3i30000000000000000000000000000000000000
χ934-4-44-2-2004-4222-22-2−2323−232310−4i4i-1-1100−2323-23−33−3-2220000002i−2i2i−2i−2i32i3001-13−3−i−iiii3i3−i3−i30000000000000000000000000000000000000
χ944-4-44-2-200-44222-22-223−2323−231000-1-1100−23232−33−332-2-2000000000000−2i32i3-113−3−3i3i3i−3ii3−i3−i3i30000000000000000000000000000000000000
χ954-4-44-2-200-44222-22-223−2323−231000-1-1100−23232−33−332-2-20000000000002i3−2i3-113−33i−3i−3i3i−i3i3i3−i30000000000000000000000000000000000000
χ964-4-44-2-200-44222-22-2−2323−23231000-1-110023−2323−33−32-2-2000000000000−2i32i3-11−333i−3i−3i3ii3−i3−i3i30000000000000000000000000000000000000
χ974-4-44-2-200-44222-22-2−2323−23231000-1-110023−2323−33−32-2-20000000000002i3−2i3-11−33−3i3i3i−3i−i3i3i3−i30000000000000000000000000000000000000
χ9888-8-8-4-48i−8i004-4-4444−4i−4i4i4i2000-22-2−4i4i0002i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4−8i8i004-4-44444i4i−4i−4i2000-22-24i−4i000−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-480000-44-8-8840000-4000-444000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-40000-4444-44−4i34i34i3−4i320002-2-2000002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-40000-4444-444i3−4i3−4i34i320002-2-200000−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000

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