Finite Group Databasebeta

← Group #11887626

Character table — Group #11887626

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order122222334466666666663444666666666121212121212888841212121212121212121212121212121212121212124488888824242424242424242244444121212122424242444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-1-1
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
χ5111111111111111111111-1-111111111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111111111111111-1-111111111111111111111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-111
χ8111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ91111-1-1111111-1-1-1-11111111-1-1-11-1-1-1-1111-1-11111111-111-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-111-1-11-1-11-11
χ101111-1-1111111-1-1-1-11111111-1-1-11-1-1-1-1111-1-11111111-111-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-1-1-111-111-11-1
χ111111-1-1111111-1-1-1-11111111-1-1-11-1-1-1-1111-1-1111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-11111-1-1-11-111-1
χ121111-1-1111111-1-1-1-11111111-1-1-11-1-1-1-1111-1-1111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-111-1-111-1-1111-11-1-11
χ131111-1-1111111-1-1-1-111111-1-1-1-1-11-1-1-1-1111-1-111111111-1-111-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111-111-1-11111-1-11-11-11-1
χ141111-1-1111111-1-1-1-111111-1-1-1-1-11-1-1-1-1111-1-111111111-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-111-1-111-11-11-11
χ151111-1-1111111-1-1-1-111111-1-1-1-1-11-1-1-1-1111-1-1111-1-1-1-11-1-111-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-1-111-1-11
χ161111-1-1111111-1-1-1-111111-1-1-1-1-11-1-1-1-1111-1-1111-1-1-1-11-1-111-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1111-1-111-1-1-1-1111-1-111-1
χ1722222222-2-22222222222200-2222222222-2-2-2-2-2-2000000000-20000-2-2-2-2000000000000000000000000222200000000000-2-20000
χ1822222222-2-22222222222200-2222222222-2-2-2-2-2-2000000000-20000-2-2-2-2000000000000000000000000-2-2-2-200000000000220000
χ192222222-1222-122222-1-12-1222-1-1-1-1-1-1-1-1-1222-1-12000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000000000002020000-1-1-1-100-1-100
χ202222222-1222-122222-1-12-1222-1-1-1-1-1-1-1-1-1222-1-12000022222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2000000000000-20-200001111001100
χ212222222-1222-122222-1-12-1-2-22-1-1-1-1-1-1-1-1-1222-1-120000-2-2-2-2-2-11111-1-1-1-11111111100220022000000000000-20-20000-1-1-1-1001100
χ222222222-1222-122222-1-12-1-2-22-1-1-1-1-1-1-1-1-1222-1-120000-2-2-2-2-2-11111-1-1-1-11111111100-2-200-2-20000000000002020000111100-1-100
χ23222222-1222-12-1-1-1-1-122-1-122222-1-1-1-1-1-1-1-1-1-122-122222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000020-1-1-1-10000000000
χ24222222-1222-12-1-1-1-1-122-1-122222-1-1-1-1-1-1-1-1-1-122-1-2-2-2-22-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2001111111100000-2011110000000000
χ25222222-1222-12-1-1-1-1-122-1-1-2-2222-1-1-1-1-1-1-1-1-1-122-12222-211112-2-2-2-2-1-1-1-111111111-2-2002200-1-1-1-1-1-1-1-100000-2011110000000000
χ26222222-1222-12-1-1-1-1-122-1-1-2-2222-1-1-1-1-1-1-1-1-1-122-1-2-2-2-2-211112-2-2-2-2-1-1-1-1111111112200-2-200111111110000020-1-1-1-10000000000
χ272222-2-222-2-222-2-2-2-222222002-2-22-2-2-2-222-222-2-2-200000000020000-2-22200000000000000000000000022-2-2000000000002-20000
χ282222-2-222-2-222-2-2-2-222222002-2-22-2-2-2-222-222-2-2-200000000020000-2-222000000000000000000000000-2-22200000000000-220000
χ292222-2-22-1222-1-2-2-2-22-1-12-122-211-11111-1-12-2-2-1-120000-222-2-21-1-111-1-111-1-1-1-11111002200-2-200000000000020-20000-1-111001-100
χ302222-2-22-1222-1-2-2-2-22-1-12-122-211-11111-1-12-2-2-1-120000-222-2-21-1-111-1-111-1-1-1-1111100-2-20022000000000000-202000011-1-100-1100
χ312222-2-22-1222-1-2-2-2-22-1-12-1-2-2-211-11111-1-12-2-2-1-1200002-2-222111-1-1-1-1111111-1-1-1-1002200-2-2000000000000-2020000-1-11100-1100
χ322222-2-22-1222-1-2-2-2-22-1-12-1-2-2-211-11111-1-12-2-2-1-1200002-2-222111-1-1-1-1111111-1-1-1-100-2-2002200000000000020-2000011-1-1001-100
χ332222-2-2-1222-121111-122-1-122-2-2-2-11111-1-1-11122-12222-2-1-111-222-2-2-1-111-1-1-1-111112200-2-200-1-1-1-1111100000-20-1-1110000000000
χ342222-2-2-1222-121111-122-1-122-2-2-2-11111-1-1-11122-1-2-2-2-2-2-1-111-222-2-2-1-111-1-1-1-11111-2-20022001111-1-1-1-1000002011-1-10000000000
χ352222-2-2-1222-121111-122-1-1-2-2-2-2-2-11111-1-1-11122-12222211-1-1-2-2-222-1-1111111-1-1-1-1-2-200-2-200-1-1-1-11111000002011-1-10000000000
χ362222-2-2-1222-121111-122-1-1-2-2-2-2-2-11111-1-1-11122-1-2-2-2-2211-1-1-2-2-222-1-1111111-1-1-1-1220022001111-1-1-1-100000-20-1-1110000000000
χ3722-2-22-222002222-2-2-2-2-2-220002-2222-2-2-2-200000022−2−20000000000000000000000002−22−22−222−2−222−2−22-22-200000002−22−2000000
χ3822-2-22-222002222-2-2-2-2-2-220002-2222-2-2-2-200000022−2−2000000000000000000000000−222−2−2222−2−222−2−2-22-220000000−22−22000000
χ3922-2-22-222002222-2-2-2-2-2-220002-2222-2-2-2-2000000−2−2220000000000000000000000002−2−222−2−2−222−2−222-22-2200000002−22−2000000
χ4022-2-22-222002222-2-2-2-2-2-220002-2222-2-2-2-2000000−2−222000000000000000000000000−22−22−22−2−222−2−2222-22-20000000−22−22000000
χ4122-2-2-22220022-2-222-2-2-2-22000-222-2-222-2-200000022−2−20000000000000000000000002−2−22−2222−2−2−2−222-222-200000002−2−22000000
χ4222-2-2-22220022-2-222-2-2-2-22000-222-2-222-2-200000022−2−2000000000000000000000000−22−222−222−2−2−2−2222-2-220000000−222−2000000
χ4322-2-2-22220022-2-222-2-2-2-22000-222-2-222-2-2000000−2−2220000000000000000000000002−22−2−22−2−22222−2−22-2-2200000002−2−22000000
χ4422-2-2-22220022-2-222-2-2-2-22000-222-2-222-2-2000000−2−222000000000000000000000000−222−22−2−2−22222−2−2-222-20000000−222−2000000
χ452-2-2200222-2-2-20000-22-2222i−2i000-200002-22002-2-22i−2i2i−2i02i−2i0002i−2i002-2002i2i−2i−2i00002-20000002i−2i2i−2i000000000002-2000000000000
χ462-2-2200222-2-2-20000-22-2222i−2i000-200002-22002-2-2−2i2i−2i2i02i−2i0002i−2i002-2002i2i−2i−2i0000-22000000−2i2i−2i2i00000000000-22000000000000
χ472-2-2200222-2-2-20000-22-222−2i2i000-200002-22002-2-22i−2i2i−2i0−2i2i000−2i2i002-200−2i−2i2i2i0000-220000002i−2i2i−2i00000000000-22000000000000
χ482-2-2200222-2-2-20000-22-222−2i2i000-200002-22002-2-2−2i2i−2i2i0−2i2i000−2i2i002-200−2i−2i2i2i00002-2000000−2i2i−2i2i000000000002-2000000000000
χ492-2-2200-122-21-2−i3i3−i3i312-2-1-12i−2i0001−i3i3−i3i3-11-1−i3i32-212i−2i2i−2i0−ii3−302i−2i00-11−i3i3−i−iii33−3−32-2000000−ii−ii3−33−30000000-11−i3i30000000000
χ502-2-2200-122-21-2−i3i3−i3i312-2-1-12i−2i0001−i3i3−i3i3-11-1−i3i32-21−2i2i−2i2i0−ii3−302i−2i00-11−i3i3−i−iii33−3−3-22000000i−ii−i−33−3300000001-1i3−i30000000000
χ512-2-2200-122-21-2−i3i3−i3i312-2-1-1−2i2i0001−i3i3−i3i3-11-1−i3i32-212i−2i2i−2i0i−i−330−2i2i00-11−i3i3ii−i−i−3−333-22000000−ii−ii3−33−300000001-1i3−i30000000000
χ522-2-2200-122-21-2−i3i3−i3i312-2-1-1−2i2i0001−i3i3−i3i3-11-1−i3i32-21−2i2i−2i2i0i−i−330−2i2i00-11−i3i3ii−i−i−3−3332-2000000i−ii−i−33−330000000-11−i3i30000000000
χ532-2-2200-122-21-2i3−i3i3−i312-2-1-12i−2i0001i3−i3i3−i3-11-1i3−i32-212i−2i2i−2i0−ii−3302i−2i00-11i3−i3−i−iii−3−3332-2000000−ii−ii−33−330000000-11i3−i30000000000
χ542-2-2200-122-21-2i3−i3i3−i312-2-1-12i−2i0001i3−i3i3−i3-11-1i3−i32-21−2i2i−2i2i0−ii−3302i−2i00-11i3−i3−i−iii−3−333-22000000i−ii−i3−33−300000001-1−i3i30000000000
χ552-2-2200-122-21-2i3−i3i3−i312-2-1-1−2i2i0001i3−i3i3−i3-11-1i3−i32-212i−2i2i−2i0i−i3−30−2i2i00-11i3−i3ii−i−i33−3−3-22000000−ii−ii−33−3300000001-1−i3i30000000000
χ562-2-2200-122-21-2i3−i3i3−i312-2-1-1−2i2i0001i3−i3i3−i3-11-1i3−i32-21−2i2i−2i2i0i−i3−30−2i2i00-11i3−i3ii−i−i33−3−32-2000000i−ii−i3−33−30000000-11i3−i30000000000
χ574444444-2-4-44-244444-2-24-200-4-2-2-2-2-2-2-2-2-2-4-4-422-4000000000200002222000000000000000000000000000000000000000000000
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χ60444444-2-244-2-2-2-2-2-2-2-2-2-21-4-44-2-21111111-2-2-2-2-2-20000-42222-222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
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χ664444-4-4-2-244-2-22222-2-2-2-21-4-4-4221-1-1-1-111-222-2-2-20000422-2-2222-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
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χ964-4-4400-2-2-44222i3−2i32i3−2i32-22-2100000-1−i3i3−i3i31-12−2i32i32-2-200000000000023−23-11i3−i33i−3i−3i3i−333−30000000000000000000000000000000000000
χ974-4-4400-2-2-44222i3−2i32i3−2i32-22-2100000-1−i3i3−i3i31-12−2i32i32-2-2000000000000−2323-11i3−i3−3i3i3i−3i3−3−330000000000000000000000000000000000000
χ9888-8-88-8-4-400-4-4-4-44444442000-44222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-88-4-400-4-444-4-4444420004-42-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-400-84000084-4-8-400000400004-4000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-40044−4i34i34i3−4i3-44-44200000-22i3−2i3−2i32i3-22000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400444i3−4i3−4i34i3-44-44200000-2−2i32i32i3−2i3-22000000000000000000000000000000000000000000000000000000000000000000000

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