Finite Group Databasebeta

← Group #11781222

Character table — Group #11781222

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222222244444444444444444444444444444666666666666888888888888888881212121212121212121212121212121212122424242424244848487272144
order1222334444666666121212123466688881212121212121212121212122424242424242424888824242424242424241212121212242424242424242424242424444488121212121212121224242424882424242441212884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-111-1
χ61111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-11
χ71111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1111111-1-1-1-1-11
χ81111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111111-1
χ92222222-2-22222222-2-2-2-22-222200002-222-2-2-2-2-2-2-2200000000000000000000-222-2-200000000000022-2-2002222-2-2-2-20000000000000000
χ102222222-2-22222222-2-2-2-22-222200002-222-2-2-2-2-2-2-2200000000000000000000-222-2-2000000000000-2-22200-2-2-2-222220000000000000000
χ11222222-222-222222222222-22220000-22-2-2-2-222222-200000000222222222222-2-2-2-2-20000000000000000-2-200000000-2-2-2-2000000000000
χ12222222-222-222222222222-22220000-22-2-2-2-222222-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022000000002222000000000000
χ13222222-2-2-2-2222222-2-2-2-2222222i2i−2i−2i-2-2-2-222-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000002-2-2222i2i2i2i2i2i−2i−2i−2i−2i−2i−2i000000000000000000000000000000
χ14222222-2-2-2-2222222-2-2-2-222222−2i−2i2i2i-2-2-2-222-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000002-2-222−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i000000000000000000000000000000
χ1522222-1222222-1-1-12-1-1-1-1-12-1-1-1222222-1-1-1-1-1-12-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1622222-1222222-1-1-12-1-1-1-1-12-1-1-1222222-1-1-1-1-1-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-2111111111111000000000000
χ1722222-1222222-1-1-12-1-1-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-12-1-12111111112222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-21111-2-2-2-22211111111-1-1-1-1000000000000
χ1822222-1222222-1-1-12-1-1-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-12-1-1211111111-2-2-2-2111111112-1-1-1-1-2-21111-2-211112222-2-2-1-1-1-1-1-1-1-11111000000000000
χ1922222-12-2-2222-1-1-121111-1-2-1-1-100002-2-1-11111-211233−3−333−3−300003333−3−3−3−3-2-1-1110033−3−30033−3−322-2-200-1-1-1-1111133−3−3000000000000
χ2022222-12-2-2222-1-1-121111-1-2-1-1-100002-2-1-11111-211233−3−333−3−30000−3−3−3−33333-2-1-1110033−3−30033−3−3-2-222001111-1-1-1-1−3−333000000000000
χ2122222-12-2-2222-1-1-121111-1-2-1-1-100002-2-1-11111-2112−3−333−3−33300003333−3−3−3−3-2-1-11100−3−33300−3−333-2-222001111-1-1-1-133−3−3000000000000
χ2222222-12-2-2222-1-1-121111-1-2-1-1-100002-2-1-11111-2112−3−333−3−3330000−3−3−3−33333-2-1-11100−3−33300−3−33322-2-200-1-1-1-11111−3−333000000000000
χ2322222-1-222-222-1-1-12-1-1-1-1-1-2-1-1-10000-221111-1-12-1-1-2−i3−i3i3i3i3i3−i3−i32222-1-1-1-1-1-1-1-1-2111100−i3−i3i3i300i3i3−i3−i30000-2-2−i3−i3i3i3−i3−i3i3i31111000000000000
χ2422222-1-222-222-1-1-12-1-1-1-1-1-2-1-1-10000-221111-1-12-1-1-2−i3−i3i3i3i3i3−i3−i3-2-2-2-211111111-2111100−i3−i3i3i300i3i3−i3−i3000022i3i3−i3−i3i3i3−i3−i3-1-1-1-1000000000000
χ2522222-1-222-222-1-1-12-1-1-1-1-1-2-1-1-10000-221111-1-12-1-1-2i3i3−i3−i3−i3−i3i3i32222-1-1-1-1-1-1-1-1-2111100i3i3−i3−i300−i3−i3i3i30000-2-2i3i3−i3−i3i3i3−i3−i31111000000000000
χ2622222-1-222-222-1-1-12-1-1-1-1-1-2-1-1-10000-221111-1-12-1-1-2i3i3−i3−i3−i3−i3i3i3-2-2-2-211111111-2111100i3i3−i3−i300−i3−i3i3i3000022−i3−i3i3i3−i3−i3i3i3-1-1-1-1000000000000
χ2722222-1-2-2-2-222-1-1-121111-12-1-1-12i2i−2i−2i-2-211-1-111-211-2−i−i−i−iiiii00003333−3−3−3−3211-1-12i2i−i−i−i−i−2i−2iiiii000000−i3−i3i3i3i3i3−i3−i3−3−333000000000000
χ2822222-1-2-2-2-222-1-1-121111-12-1-1-12i2i−2i−2i-2-211-1-111-211-2−i−i−i−iiiii0000−3−3−3−33333211-1-12i2i−i−i−i−i−2i−2iiiii000000i3i3−i3−i3−i3−i3i3i333−3−3000000000000
χ2922222-1-2-2-2-222-1-1-121111-12-1-1-1−2i−2i2i2i-2-211-1-111-211-2iiii−i−i−i−i00003333−3−3−3−3211-1-1−2i−2iiiii2i2i−i−i−i−i000000i3i3−i3−i3−i3−i3i3i3−3−333000000000000
χ3022222-1-2-2-2-222-1-1-121111-12-1-1-1−2i−2i2i2i-2-211-1-111-211-2iiii−i−i−i−i0000−3−3−3−33333211-1-1−2i−2iiiii2i2i−i−i−i−i000000−i3−i3i3i3i3i3−i3−i333−3−3000000000000
χ312222-122222-1-1222-12222-12-1-1-12222-1-12222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-12-1-1000
χ322222-122222-1-1222-12222-12-1-1-12222-1-12222-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-21111-211000
χ332222-122222-1-1222-12222-12-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-111111111111100000000000000000022-1-1-1-1-211000
χ342222-122222-1-1222-12222-12-1-1-1-2-2-2-2-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111000000000000000000-2-211112-1-1000
χ352222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-12i2i−2i−2i11-2-2221111112i2i2i2i−2i−2i−2i−2i000000000000-111-1-1−i−i−i−i−i−iiiiiii0000000000000000000033−3−30−i3i3000
χ362222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-12i2i−2i−2i11-2-2221111112i2i2i2i−2i−2i−2i−2i000000000000-111-1-1−i−i−i−i−i−iiiiiii00000000000000000000−3−3330i3−i3000
χ372222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1−2i−2i2i2i11-2-222111111−2i−2i−2i−2i2i2i2i2i000000000000-111-1-1iiiiii−i−i−i−i−i−i0000000000000000000033−3−30i3−i3000
χ382222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1−2i−2i2i2i11-2-222111111−2i−2i−2i−2i2i2i2i2i000000000000-111-1-1iiiiii−i−i−i−i−i−i00000000000000000000−3−3330−i3i3000
χ3922-2-22202-202-22-2-2-222-2-2202-2-2000002000022-2-2-200000000022-2-222-2-222-2-2000000000000000000000000000000000002−22−22−20002−20
χ4022-2-22202-202-22-2-2-222-2-2202-2-2000002000022-2-2-200000000022-2-222-2-222-2-200000000000000000000000000000000000−22−22−22000−220
χ4122-2-22202-202-22-2-2-222-2-2202-2-2000002000022-2-2-2000000000-2-222-2-222-2-222000000000000000000000000000000000002−22−22−2000−220
χ4222-2-22202-202-22-2-2-222-2-2202-2-2000002000022-2-2-2000000000-2-222-2-222-2-22200000000000000000000000000000000000−22−22−220002−20
χ432-22-222200-2-22-22-2-2000020-22-22−22−2202-20000000-22−22−22−22−22−22−22−22−22−22−202-2002−22−22−22−22−22−22-2002−22-22-200002−22−2000000000000
χ442-22-222200-2-22-22-2-2000020-22-22−22−2202-20000000-22−22−22−22−2−22−22−22−22−22−2202-2002−22−22−22−22−22−2-2200−22-22-220000−22−22000000000000
χ452-22-222200-2-22-22-2-2000020-22-2−22−22202-20000000-2−22−22−22−222−22−22−22−22−22−202-200−22−22−22−22−22−22-22002−2-22-2200002−22−2000000000000
χ462-22-222200-2-22-22-2-2000020-22-2−22−22202-20000000-2−22−22−22−22−22−22−22−22−22−2202-200−22−22−22−22−22−222-200−222-22-20000−22−22000000000000
χ472-22-222-2002-22-22-2-2000020-22-2−i2i2i2−i2-20-2200000002−i2i2−i2i2i2−i2i2−i22−22−22−22−22−22−20-2200−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2002i−2i−2200002i−2i2i−2i−22−22000000000000
χ482-22-222-2002-22-22-2-2000020-22-2−i2i2i2−i2-20-2200000002−i2i2−i2i2i2−i2i2−i2−22−22−22−22−22−220-2200−i2i2−i2i2−i2i2i2−i2i2−i2i2−i200−2i2i2−20000−2i2i−2i2i2−22−2000000000000
χ492-22-222-2002-22-22-2-2000020-22-2i2−i2−i2i2-20-2200000002i2−i2i2−i2−i2i2−i2i22−22−22−22−22−22−20-2200i2−i2i2−i2i2−i2−i2i2−i2i2−i2i200−2i2i−220000−2i2i−2i2i−22−22000000000000
χ502-22-222-2002-22-22-2-2000020-22-2i2−i2−i2i2-20-2200000002i2−i2i2−i2−i2i2−i2i2−22−22−22−22−22−220-2200i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2002i−2i2−200002i−2i2i−2i2−22−2000000000000
χ512-22-22-1200-2-221-11-23−33−3-101-112−22−220-113−33−303−3-2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230-113−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232-2002−2-11-11−333−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ522-22-22-1200-2-221-11-23−33−3-101-112−22−220-113−33−303−3-2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230-113−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23-2200−221-11-13−3−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ532-22-22-1200-2-221-11-23−33−3-101-11−22−2220-113−33−303−3-2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230-113−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23-22002−21-11-13−3−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ542-22-22-1200-2-221-11-23−33−3-101-11−22−2220-113−33−303−3-2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230-113−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ232-200−22-11-11−333−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ552-22-22-1200-2-221-11-2−33−33-101-112−22−220-11−33−330−33-2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70-11−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72-2002−2-11-113−3−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ562-22-22-1200-2-221-11-2−33−33-101-112−22−220-11−33−330−33-2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70-11−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7-2200−221-11-1−333−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ572-22-22-1200-2-221-11-2−33−33-101-11−22−2220-11−33−330−33-2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70-11−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7-22002−21-11-1−333−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ582-22-22-1200-2-221-11-2−33−33-101-11−22−2220-11−33−330−33-2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70-11−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ72-200−22-11-113−3−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ592-22-22-1-2002-221-11-23−33−3-101-11−i2i2i2−i2-201-1−333−303−32ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2301-1−33−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23002i−2i−22i3−i3−i3i3−ii−ii−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ602-22-22-1-2002-221-11-23−33−3-101-11−i2i2i2−i2-201-1−333−303−32ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2301-1−33−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300−2i2i2−2−i3i3i3−i3i−ii−iζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ612-22-22-1-2002-221-11-23−33−3-101-11i2−i2−i2i2-201-1−333−303−32−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2301-1−33i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300−2i2i−22−i3i3i3−i3i−ii−i−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ622-22-22-1-2002-221-11-23−33−3-101-11i2−i2−i2i2-201-1−333−303−32−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2301-1−33i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23002i−2i2−2i3−i3−i3i3−ii−iiζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.