Finite Group Databasebeta

← Group #11887013

Character table — Group #11887013

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order1222223344666666666634446666666661212121212128888412121212121212121212121212121212121212121222888888242424242424242422442246666242424244461224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
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
χ61111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-111
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
χ91111-1-1111111-1-1-1-111111-111-1-11-1-1-1-1111-1-11111111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-111-1-11-1-111-1
χ101111-1-1111111-1-1-1-111111-111-1-11-1-1-1-1111-1-11111111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-11-111-1-1-1-111-111-1-11
χ111111-1-1111111-1-1-1-111111-111-1-11-1-1-1-1111-1-1111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11-11-1-11111-1-1-11-11-11
χ121111-1-1111111-1-1-1-111111-111-1-11-1-1-1-1111-1-1111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-1-1111-11-11-1
χ131111-1-1111111-1-1-1-111111-1-1-1-1-11-1-1-1-1111-1-111111111-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-11-11-1-11
χ141111-1-1111111-1-1-1-111111-1-1-1-1-11-1-1-1-1111-1-111111111-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11-11-1-111-1-111-11-111-1
χ151111-1-1111111-1-1-1-111111-1-1-1-1-11-1-1-1-1111-1-1111-1-1-1-11-1-1-111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-11-111-1-111-1-1-111-11-1
χ161111-1-1111111-1-1-1-111111-1-1-1-1-11-1-1-1-1111-1-1111-1-1-1-11-1-1-111-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-1111-1-1-1-1111-1-11-11
χ1722222222-2-222222222222-200222222222-2-2-2-2-2-200000-200000000-2-2-2-2000000000000000000000000222200000000000-2-20000
χ1822222222-2-222222222222-200222222222-2-2-2-2-2-200000-200000000-2-2-2-2000000000000000000000000-2-2-2-200000000000220000
χ192222222-1222-1-1-1-1-12-1-12-122222-1-1-1-1-1-1-1-1-1-122-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000200-1-1-1-10000000000
χ202222222-1222-1-1-1-1-12-1-12-122222-1-1-1-1-1-1-1-1-1-122-1-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200111111110000-20011110000000000
χ212222222-1222-1-1-1-1-12-1-12-12-2-222-1-1-1-1-1-1-1-1-1-122-12222-221111-2-2-2-2-1-1-1-111111111-2-2002200-1-1-1-1-1-1-1-10000-20011110000000000
χ222222222-1222-1-1-1-1-12-1-12-12-2-222-1-1-1-1-1-1-1-1-1-122-1-2-2-2-2-221111-2-2-2-2-1-1-1-1111111112200-2-200111111110000200-1-1-1-10000000000
χ23222222-1222-122222-122-1-1222-1-1-1-1-1-1-1-1-1222-1-1200002-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000000000000220000-1-1-1-100-1-100
χ24222222-1222-122222-122-1-1222-1-1-1-1-1-1-1-1-1222-1-1200002-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000000000000-2-200001111001100
χ25222222-1222-122222-122-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-120000-2-1-2-2-2-21111-1-1-1-111111111002200220000000000000-2-20000-1-1-1-1001100
χ26222222-1222-122222-122-1-12-2-2-1-1-1-1-1-1-1-1-1222-1-120000-2-1-2-2-2-21111-1-1-1-11111111100-2-200-2-20000000000000220000111100-1-100
χ272222-2-222-2-222-2-2-2-222222200-2-22-2-2-2-222-222-2-2-200000200000000-2-22200000000000000000000000022-2-2000000000002-20000
χ282222-2-222-2-222-2-2-2-222222200-2-22-2-2-2-222-222-2-2-200000200000000-2-222000000000000000000000000-2-22200000000000-220000
χ292222-2-22-1222-111112-1-12-1-222-2-2-11111-1-1-11122-12222-2-2-1-11122-2-2-1-111-1-1-1-111112200-2-200-1-1-1-111110000-200-1-1110000000000
χ302222-2-22-1222-111112-1-12-1-222-2-2-11111-1-1-11122-1-2-2-2-2-2-2-1-11122-2-2-1-111-1-1-1-11111-2-20022001111-1-1-1-1000020011-1-10000000000
χ312222-2-22-1222-111112-1-12-1-2-2-2-2-2-11111-1-1-11122-122222-211-1-1-2-222-1-1111111-1-1-1-1-2-200-2-200-1-1-1-11111000020011-1-10000000000
χ322222-2-22-1222-111112-1-12-1-2-2-2-2-2-11111-1-1-11122-1-2-2-2-22-211-1-1-2-222-1-1111111-1-1-1-1220022001111-1-1-1-10000-200-1-1110000000000
χ332222-2-2-1222-12-2-2-2-2-122-1-1-22211-11111-1-12-2-2-1-120000-2122-2-2-1-111-1-111-1-1-1-11111002200-2-20000000000000-220000-1-111001-100
χ342222-2-2-1222-12-2-2-2-2-122-1-1-22211-11111-1-12-2-2-1-120000-2122-2-2-1-111-1-111-1-1-1-1111100-2-2002200000000000002-2000011-1-100-1100
χ352222-2-2-1222-12-2-2-2-2-122-1-1-2-2-211-11111-1-12-2-2-1-12000021-2-22211-1-1-1-1111111-1-1-1-1002200-2-200000000000002-20000-1-11100-1100
χ362222-2-2-1222-12-2-2-2-2-122-1-1-2-2-211-11111-1-12-2-2-1-12000021-2-22211-1-1-1-1111111-1-1-1-100-2-200220000000000000-22000011-1-1001-100
χ372-22-200222-2-2-2000022-2-2202i−2i00-200002-22002-2-22i2i−2i−2i002i−2i002i−2i002-2002i2i−2i−2i00002-20000002i2i−2i−2i000000000002-2000000000000
χ382-22-200222-2-2-2000022-2-2202i−2i00-200002-22002-2-2−2i−2i2i2i002i−2i002i−2i002-2002i2i−2i−2i0000-22000000−2i−2i2i2i00000000000-22000000000000
χ392-22-200222-2-2-2000022-2-220−2i2i00-200002-22002-2-22i2i−2i−2i00−2i2i00−2i2i002-200−2i−2i2i2i0000-220000002i2i−2i−2i00000000000-22000000000000
χ402-22-200222-2-2-2000022-2-220−2i2i00-200002-22002-2-2−2i−2i2i2i00−2i2i00−2i2i002-200−2i−2i2i2i00002-2000000−2i−2i2i2i000000000002-2000000000000
χ412-22-2002-12-2-21−i3−i3i3i32-11-2-102i−2i001−i3−i3i3i3-11-1−i3i32-212i2i−2i−2i00−ii3−32i−2i00-11−i3i3−i−iii33−3−32-2000000−i−iii33−3−30000000-11−i3i30000000000
χ422-22-2002-12-2-21−i3−i3i3i32-11-2-102i−2i001−i3−i3i3i3-11-1−i3i32-21−2i−2i2i2i00−ii3−32i−2i00-11−i3i3−i−iii33−3−3-22000000ii−i−i−3−33300000001-1i3−i30000000000
χ432-22-2002-12-2-21−i3−i3i3i32-11-2-10−2i2i001−i3−i3i3i3-11-1−i3i32-212i2i−2i−2i00i−i−33−2i2i00-11−i3i3ii−i−i−3−333-22000000−i−iii33−3−300000001-1i3−i30000000000
χ442-22-2002-12-2-21−i3−i3i3i32-11-2-10−2i2i001−i3−i3i3i3-11-1−i3i32-21−2i−2i2i2i00i−i−33−2i2i00-11−i3i3ii−i−i−3−3332-2000000ii−i−i−3−3330000000-11−i3i30000000000
χ452-22-2002-12-2-21i3i3−i3−i32-11-2-102i−2i001i3i3−i3−i3-11-1i3−i32-212i2i−2i−2i00−ii−332i−2i00-11i3−i3−i−iii−3−3332-2000000−i−iii−3−3330000000-11i3−i30000000000
χ462-22-2002-12-2-21i3i3−i3−i32-11-2-102i−2i001i3i3−i3−i3-11-1i3−i32-21−2i−2i2i2i00−ii−332i−2i00-11i3−i3−i−iii−3−333-22000000ii−i−i33−3−300000001-1−i3i30000000000
χ472-22-2002-12-2-21i3i3−i3−i32-11-2-10−2i2i001i3i3−i3−i3-11-1i3−i32-212i2i−2i−2i00i−i3−3−2i2i00-11i3−i3ii−i−i33−3−3-22000000−i−iii−3−33300000001-1−i3i30000000000
χ482-22-2002-12-2-21i3i3−i3−i32-11-2-10−2i2i001i3i3−i3−i3-11-1i3−i32-21−2i−2i2i2i00i−i3−3−2i2i00-11i3−i3ii−i−i33−3−32-2000000ii−i−i33−3−30000000-11i3−i30000000000
χ492-2-222-22200-2-22-22-2-2-22220002-2-22-22-2-220000002−22−20000000000000000000000002−22−22−22−22−22−22−22-22-200000002−22−2000000
χ502-2-222-22200-2-22-22-2-2-22220002-2-22-22-2-220000002−22−2000000000000000000000000−222−2−222−22−22−22−2-22-220000000−22−22000000
χ512-2-222-22200-2-22-22-2-2-22220002-2-22-22-2-22000000−22−220000000000000000000000002−2−222−2−22−22−22−22-22-2200000002−22−2000000
χ522-2-222-22200-2-22-22-2-2-22220002-2-22-22-2-22000000−22−22000000000000000000000000−22−22−22−22−22−22−222-22-20000000−22−22000000
χ532-2-22-222200-2-2-22-22-2-2222000-22-2-22-22-220000002−22−20000000000000000000000002−2−22−222−22−2−22−22-222-200000002−2−22000000
χ542-2-22-222200-2-2-22-22-2-2222000-22-2-22-22-220000002−22−2000000000000000000000000−22−222−22−22−2−22−222-2-220000000−222−2000000
χ552-2-22-222200-2-2-22-22-2-2222000-22-2-22-22-22000000−22−220000000000000000000000002−22−2−22−22−222−22−22-2-2200000002−2−22000000
χ562-2-22-222200-2-2-22-22-2-2222000-22-2-22-22-22000000−22−22000000000000000000000000−222−22−2−22−222−22−2-222-20000000−222−2000000
χ574444444-2-4-44-2-2-2-2-24-2-24-2-40044-2-2-2-2-2-2-2222-4-4200000-4000000002222000000000000000000000000000000000000000000000
χ58444444-24-4-4-244444-244-2-2-400-2-2-2-2-2-2-2-2-2-4-4-422-4000002000000002222000000000000000000000000000000000000000000000
χ59444444-2-244-2-2-2-2-2-2-2-2-2-21444-2-21111111-2-2-2-2-2-200004-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000
χ60444444-2-244-2-2-2-2-2-2-2-2-2-214-4-4-2-21111111-2-2-2-2-2-20000-4-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
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χ664444-4-4-2-244-2-22222-2-2-2-21-4-4-4221-1-1-1-111-222-2-2-200004222-2-222-2-211-1-1-1-1-1-111110000000000000000000000000000000000000
χ674444-4-4-2-2-4-4-2-22222-2-2-2-21400221-1-1-1-1112-2-222200000-200000000-1-1113-33-3-33-330000000000000000000000000000000000000
χ684444-4-4-2-2-4-4-2-22222-2-2-2-21400221-1-1-1-1112-2-222200000-200000000-1-111-33-333-33-30000000000000000000000000000000000000
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χ884-44-400-2-2-44222i32i3−2i3−2i3-2-222100000-1−i3−i3i3i31-12−2i32i32-2-200000000000023−23-11i3−i33i−3i−3i3i−333−30000000000000000000000000000000000000
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χ904-4-444-44-200-42-22-22-42-24-20004-42-22-222-200000022−2222−220000000000000000000000000022−2200−22−22−22−22000000000000000000000
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χ974-4-44-44-24002-4-44-442-44-2-20002-222-22-22-20000000000000000000000000000000000−22220022−2200000000000000000002−2−22000000
χ9888-8-800-4800-4800004-8-84-400000-4000044000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-400-4-4−4i34i34i3−4i3444420000022i3−2i3−2i32i3-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-800-4-400-4-44i3−4i3−4i34i344442000002−2i32i32i3−2i3-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-8-4-40044-44-4444-4-42000-44-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-88-4-400444-44-444-4-420004-4-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000

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