Finite Group Databasebeta

← Group #11779713

Character table — Group #11779713

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222222244444444444444444888888888888888888888888888888888888888888161616161616161636363636363636367272144
order1222333344446666666666664121212121212121212121212121212122288881212121224242424242424242424242424242424242424242424242424242424242424246666666622228888444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1
χ41111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11
χ511111111111111111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1
χ611111111111111111111111111111111111111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111
χ711111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11
χ811111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-11-1
χ9222222222-22-2222222222222-22222-2-2-2-22222-2-2-2-2000000-2-2-2-20000000000000000000000000000000000000000002200000-20
χ10222222222-22-2222222222222-22222-2-2-2-22222-2-2-2-2000000-2-2-2-2000000000000000000000000000000000000000000-2-20000020
χ1122222222-22-22222222222222-2-2-2-2-22222-2-2-2-22222000000-2-2-2-2000000000000000000000000000000000000000022000000-200
χ1222222222-22-22222222222222-2-2-2-2-22222-2-2-2-22222000000-2-2-2-20000000000000000000000000000000000000000-2-2000000200
χ1322222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-200002222000000000000000000000000000000002222-2-2-2-200000000000
χ1422222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-220000222200000000000000000000000000000000-2-2-2-2222200000000000
χ1522222-1-1-12222222-1-1-1-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-100000000000
χ1622222-1-1-12222222-1-1-1-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-122-2-2-2-22-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112-1-1-12-1-1-100000000000
χ1722222-1-1-12222222-1-1-1-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-2-222-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2111-211100000000000
χ1822222-1-1-12222222-1-1-1-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2222-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2111-211100000000000
χ1922222-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-2111-2111-2111-21112-200002-1-1-10000333333−3−3−3−3−3−30000333333−3−3−3−3−3−32-1-1-1-211100000000000
χ2022222-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-2111-2111-2111-21112-200002-1-1-10000−3−3−3−3−3−33333330000−3−3−3−3−3−33333332-1-1-1-211100000000000
χ2122222-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-2111-2111-2111-2111-2200002-1-1-10000333333−3−3−3−3−3−30000−3−3−3−3−3−3333333-21112-1-1-100000000000
χ2222222-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-2111-2111-2111-2111-2200002-1-1-10000−3−3−3−3−3−33333330000333333−3−3−3−3−3−3-21112-1-1-100000000000
χ232222-12-1-12222-1-1-1222-1-1-1-1-1-12-12-1-1-12-1-1-12-1-1-12-1-1222222-12-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-12-1-1-12-1-100000000000
χ242222-12-1-12222-1-1-1222-1-1-1-1-1-12-12-1-1-12-1-1-12-1-1-12-1-122-2-2-2-2-12-1-11111-2-21111-2-211111111-2-21111-2-21111-12-1-1-12-1-100000000000
χ252222-12-1-12222-1-1-1222-1-1-1-1-1-12-12-1-1-12-1-1-12-1-1-12-1-1-2-222-2-2-12-1-1-1-1-1-122-1-1-1-122-1-1-1-11111-2-21111-2-211111-2111-21100000000000
χ262222-12-1-12222-1-1-1222-1-1-1-1-1-12-12-1-1-12-1-1-12-1-1-12-1-1-2-2-2-222-12-1-11111-2-21111-2-21111-1-1-1-122-1-1-1-122-1-1-1-11-2111-21100000000000
χ272222-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-121-2111-2111-2111-2112-20000-12-1-133−3−30033−3−30033−3−333−3−30033−3−30033−3−3-12-1-11-21100000000000
χ282222-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-121-2111-2111-2111-2112-20000-12-1-1−3−33300−3−33300−3−333−3−33300−3−33300−3−333-12-1-11-21100000000000
χ292222-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-121-2111-2111-2111-211-220000-12-1-133−3−30033−3−30033−3−3−3−33300−3−33300−3−3331-211-12-1-100000000000
χ302222-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-121-2111-2111-2111-211-220000-12-1-1−3−33300−3−33300−3−33333−3−30033−3−30033−3−31-211-12-1-100000000000
χ312222-1-12-12222-1-1-1-1-1-1222-1-1-12-1-12-1-1-12-1-1-12-1-1-12-1222222-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-12-1-1-12-100000000000
χ322222-1-12-12222-1-1-1-1-1-1222-1-1-12-1-12-1-1-12-1-1-12-1-1-12-122-2-2-2-2-1-12-1111111-2-2111111-2-2111111-2-2111111-2-2-1-12-1-1-12-100000000000
χ332222-1-12-12222-1-1-1-1-1-1222-1-1-12-1-12-1-1-12-1-1-12-1-1-12-1-2-222-2-2-1-12-1-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-211-2111-2100000000000
χ342222-1-12-12222-1-1-1-1-1-1222-1-1-12-1-12-1-1-12-1-1-12-1-1-12-1-2-2-2-222-1-12-1111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-12211-2111-2100000000000
χ352222-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-1211-2111-2111-2111-212-20000-1-12-133−3−3−3−3003333−3−30033−3−3−3−3003333−3−300-1-12-111-2100000000000
χ362222-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-1211-2111-2111-2111-212-20000-1-12-1−3−3333300−3−3−3−33300−3−3333300−3−3−3−33300-1-12-111-2100000000000
χ372222-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-1211-2111-2111-2111-21-220000-1-12-133−3−3−3−3003333−3−300−3−3333300−3−3−3−3330011-21-1-12-100000000000
χ382222-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-1211-2111-2111-2111-21-220000-1-12-1−3−3333300−3−3−3−3330033−3−3−3−3003333−3−30011-21-1-12-100000000000
χ392222-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-12-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-12-1-1-1200000000000
χ402222-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-1222-2-2-2-2-1-1-1211111111-2-211-2-21111111111-2-211-2-211-1-1-12-1-1-1200000000000
χ412222-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-12-2-222-2-2-1-1-12-1-1-1-1-1-1-1-122-1-122-1-111111111-2-211-2-211111-2111-200000000000
χ422222-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-222-1-1-1211111111-2-211-2-211-1-1-1-1-1-1-1-122-1-122-1-1111-2111-200000000000
χ432222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-12222111-2111-2111-2111-22-20000-1-1-1233−3−333−3−300−3−3003333−3−333−3−300−3−30033-1-1-12111-200000000000
χ442222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-12222111-2111-2111-2111-22-20000-1-1-12−3−333−3−333003300−3−3−3−333−3−333003300−3−3-1-1-12111-200000000000
χ452222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-12222111-2111-2111-2111-2-220000-1-1-1233−3−333−3−300−3−30033−3−333−3−333003300−3−3111-2-1-1-1200000000000
χ462222-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-12222111-2111-2111-2111-2-220000-1-1-12−3−333−3−333003300−3−333−3−333−3−300−3−30033111-2-1-1-1200000000000
χ472-22-2222220-202-2-22-2-22-2-22-2-2022220000-2-2-2-200000000−i2i200000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000002-2−i2−i2i2i2000
χ482-22-2222220-202-2-22-2-22-2-22-2-2022220000-2-2-2-200000000−i2i200000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000-22i2i2−i2−i2000
χ492-22-2222220-202-2-22-2-22-2-22-2-2022220000-2-2-2-200000000i2−i200000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000002-2i2i2−i2−i2000
χ502-22-2222220-202-2-22-2-22-2-22-2-2022220000-2-2-2-200000000i2−i200000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000-22−i2−i2i2i2000
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χ522-2-2222220-202-22-2-22-2-22-2-22-200000-2-2-2-200002222002−20000002−22−22−22−22−22−22−22−2000000000000000000000000-2200−22−22000
χ532-2-2222220-202-22-2-22-2-22-2-22-200000-2-2-2-20000222200−22000000−22−22−22−22−22−22−22−220000000000000000000000002-200−22−22000
χ542-2-2222220-202-22-2-22-2-22-2-22-200000-2-2-2-20000222200−22000000−22−22−22−22−22−22−22−22000000000000000000000000-22002−22−2000
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χ964-4-44-2-2-24040-42-222-222-22-44-400000-2-2-240000222-40000000000−666−6−666−6006−600−6600000000000000000000000000000000000
χ974-4-44-2-2-240-4042-222-222-22-44-400000222-40000-2-2-240022−22000000−22−22−22−2222−22−2222−22−2200000000000000000000000000000000000
χ984-4-44-2-2-240-4042-222-222-22-44-400000222-40000-2-2-2400−22220000002−22−22−22−2−22222−2−22222−200000000000000000000000000000000000
χ9988-8-88-4-4-40000-8-8844-444-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-4-4000044-4-8-8844-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-48-4000044-444-4-8-8844-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-48000044-444-444-4-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000

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