Finite Group Databasebeta

← Group #11780255

Character table — Group #11780255

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222222244444444444444444888888888888888888888881212121212121212121212121212242424242424242424242424243636484872144
order1222334444666666121212123466612121212121212121212121288121212121224242424242424242424242424242424448888242424242424242444488121212122424242444121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111111-1
χ61111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-11
χ71111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-11
χ81111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1111111-1-11-1
χ92222222-2-22222222-2-2-2-22-2222222-2-2-2-2-2-2-2-2200-222-2-2000000000000000022000000000000-2000022-2-20000000000
χ102222222-2-22222222-2-2-2-22-2222222-2-2-2-2-2-2-2-2200-222-2-20000000000000000-2-200000000000020000-2-2220000000000
χ11222222-222-222222222222-2222-2-2-2222222-2-2-200-2-2-2-2-200000000000000000000000000000000000000000002200-20
χ12222222-222-222222222222-2222-2-2-2222222-2-2-200-2-2-2-2-20000000000000000000000000000000000000000000-2-20020
χ13222222-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-2-2-2-222-2002-2-22200000000000000000000000000000002-20000000000002-200
χ14222222-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-2-2-2-222-2002-2-2220000000000000000000000000000000-22000000000000-2200
χ1522222-1222222-1-1-12-1-1-1-1-12-1-1-12-1-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-120000-1-1-1-10000000000
χ1622222-1222222-1-1-12-1-1-1-1-12-1-1-12-1-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-211111111-2000011110000000000
χ1722222-1222222-1-1-12-1-1-1-1-12-1-1-12-1-12-1-12-1-1-1-12-2-22-1-1-1-11111-2-2-2-21111111122-2-2-2-21111111120000-1-1-1-10000000000
χ1822222-1222222-1-1-12-1-1-1-1-12-1-1-12-1-12-1-12-1-1-1-12-2-22-1-1-1-11111-2-2-2-211111111-2-22222-1-1-1-1-1-1-1-1-2000011110000000000
χ1922222-12-2-2222-1-1-121111-1-2-1-1-12-1-1-211-21111200-2-1-11133−3−300003333−3−3−3−32200003333−3−3−3−3-20000-1-1110000000000
χ2022222-12-2-2222-1-1-121111-1-2-1-1-12-1-1-211-21111200-2-1-11133−3−300003333−3−3−3−3-2-20000−3−3−3−333332000011-1-10000000000
χ2122222-12-2-2222-1-1-121111-1-2-1-1-12-1-1-211-21111200-2-1-111−3−3330000−3−3−3−33333220000−3−3−3−33333-20000-1-1110000000000
χ2222222-12-2-2222-1-1-121111-1-2-1-1-12-1-1-211-21111200-2-1-111−3−3330000−3−3−3−33333-2-200003333−3−3−3−32000011-1-10000000000
χ232222-122222-1-1222-12222-12-1-1-1-122-1-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000022220000-1-1-1-100-1-100
χ242222-122222-1-1222-12222-12-1-1-1-122-1-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000-2-2-2-200001111001100
χ252222-122222-1-1222-12222-12-1-1-1-122-1-1-1-1-1-122-1-2-2-1-1-1-1-1-2-2-2-211111111111100000000000000022-2-20000111100-1-100
χ262222-122222-1-1222-12222-12-1-1-1-122-1-1-1-1-1-122-1-2-2-1-1-1-1-1-2-2-2-2111111111111000000000000000-2-2220000-1-1-1-1001100
χ272222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-11-2-211111122100-111-1-1000033−3−333−3−333−3−30000000000000002-200000033−3−300-1100
χ282222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-11-2-211111122100-111-1-1000033−3−333−3−333−3−3000000000000000-22000000−3−333001-100
χ292222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-11-2-211111122100-111-1-10000−3−333−3−333−3−3330000000000000002-2000000−3−33300-1100
χ302222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-11-2-211111122100-111-1-10000−3−333−3−333−3−333000000000000000-2200000033−3−3001-100
χ312-22-222-20022-2-22-2-20000202-2-2-22-2000000002−i2i202-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22i−2i22−2−222−2−222−2−2000002i−2i000000000000
χ322-22-222-20022-2-22-2-20000202-2-2-22-2000000002−i2i202-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−2i2i−2−222−2−222−2−22200000−2i2i000000000000
χ332-22-222-20022-2-22-2-20000202-2-2-22-2000000002i2−i202-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22i−2i−2−222−2−222−2−222000002i−2i000000000000
χ342-22-222-20022-2-22-2-20000202-2-2-22-2000000002i2−i202-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2i2i22−2−222−2−222−2−200000−2i2i000000000000
χ352-22-22-1-20022-21-11-23−33−3-10-111-2-1103−303−33−32−i2i20-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ232i−2i22−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ700000−ii−i3i30000000000
χ362-22-22-1-20022-21-11-23−33−3-10-111-2-1103−303−33−32−i2i20-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−2i2i−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ700000i−ii3−i30000000000
χ372-22-22-1-20022-21-11-23−33−3-10-111-2-1103−303−33−32i2−i20-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ232i−2i−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ700000−ii−i3i30000000000
χ382-22-22-1-20022-21-11-23−33−3-10-111-2-1103−303−33−32i2−i20-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−2i2i22−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ700000i−ii3−i30000000000
χ392-22-22-1-20022-21-11-2−33−33-10-111-2-110−330−33−332−i2i20-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ72i−2i22−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2300000−iii3−i30000000000
χ402-22-22-1-20022-21-11-2−33−33-10-111-2-110−330−33−332−i2i20-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−2i2i−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300000i−i−i3i30000000000
χ412-22-22-1-20022-21-11-2−33−33-10-111-2-110−330−33−332i2−i20-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ72i−2i−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300000−iii3−i30000000000
χ422-22-22-1-20022-21-11-2−33−33-10-111-2-110−330−33−332i2−i20-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−2i2i22−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2300000i−i−i3i30000000000
χ432-2-222202-20-2-22-2-2222-2-220-22-2000222-2-2-200000000000000000000000000002−22−22−22−22−22−2000−i2i20000−i2i2−i2i22i−2i0000
χ442-2-222202-20-2-22-2-2222-2-220-22-2000222-2-2-200000000000000000000000000002−22−22−22−22−22−2000i2−i20000i2−i2i2−i2−2i2i0000
χ452-2-222202-20-2-22-2-2222-2-220-22-2000222-2-2-20000000000000000000000000000−22−22−22−22−22−22000−i2i20000−i2i2−i2i2−2i2i0000
χ462-2-222202-20-2-22-2-2222-2-220-22-2000222-2-2-20000000000000000000000000000−22−22−22−22−22−22000i2−i20000i2−i2i2−i22i−2i0000
χ4744444-2-444-444-2-2-24-2-2-2-2-2-4-2-2-2-4224-2-24-2-222-400-422220000000000000000000000000000000000000000000000000
χ4844444-2-4-4-4-444-2-2-242222-24-2-2-2-422-422-422-2-2-400422-2-20000000000000000000000000000000000000000000000000
χ494444-244-4-44-2-2444-2-4-4-4-4-2-4-2-2-2-244222222-4-4-2002-2-2220000000000000000000000000000000000000000000000000
χ504444-24-444-4-2-2444-24444-2-4-2-2-22-4-4-2-2-2-2-2-2-4-4200222220000000000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-211-211-2-2-244-21111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000
χ524444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-211-211-2-2-2-4-4-2111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ534444-2-24-4-44-2-2-2-2-2-222221-4111-2-2-22-1-12-1-122-200211-1-12323−23−230000−3−3−3−33333000000000000000000000000000000000
χ544444-2-24-4-44-2-2-2-2-2-222221-4111-2-2-22-1-12-1-122-200211-1-1−23−23232300003333−3−3−3−3000000000000000000000000000000000
χ554444-2-2-444-4-2-2-2-2-2-2-2-2-2-21-4111222-211-211222002-1-1-1-10000000033-3-3-3-333000000000000000000000000000000000
χ564444-2-2-444-4-2-2-2-2-2-2-2-2-2-21-4111222-211-211222002-1-1-1-100000000-3-33333-3-3000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-1-12-1-1-2-2200-2-1-11100002323−23−23−3−333−3−333000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-1-12-1-1-2-2200-2-1-1110000−23−23232333−3−333−3−3000000000000000000000000000000000
χ5944-4-4440000-44-4-44-4000040-4-4400000000000000000000000000000000000002-2-222-2-222-2-220000000000000000000
χ6044-4-4440000-44-4-44-4000040-4-440000000000000000000000000000000000000-222-2-222-2-222-20000000000000000000
χ6144-4-44-20000-4422-2-423−23−2323-2022-2000023−230−232300000000000000000000000000002-2-22−1−31+31+3−1−3−1+31−31−3−1+30000000000000000000
χ6244-4-44-20000-4422-2-423−23−2323-2022-2000023−230−23230000000000000000000000000000-222-21+3−1−3−1−31+31−3−1+3−1+31−30000000000000000000
χ6344-4-44-20000-4422-2-4−232323−23-2022-20000−2323023−2300000000000000000000000000002-2-22−1+31−31−3−1+3−1−31+31+3−1−30000000000000000000
χ6444-4-44-20000-4422-2-4−232323−23-2022-20000−2323023−230000000000000000000000000000-222-21−3−1+3−1+31−31+3−1−3−1−31+30000000000000000000
χ654-44-444400-44-4-44-4-40000404-4-44-4400000000-4000-44000000000000000000000000000000000000000000000000000
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χ674-44-44-2400-44-42-22-4−2323−2323-20-22242-20−23230−232323−23-40002-223−230000000000000000000000000000000000000000000000000
χ684-44-4-24400-4-22-44-420000-20-222-2-440000000020002-2000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000000
χ694-44-4-24400-4-22-44-420000-20-222-2-440000000020002-2000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000000
χ704-44-4-24-4004-22-44-420000-20-22224-400000000-2−2i22i20-2200−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000000000000
χ714-44-4-24-4004-22-44-420000-20-22224-400000000-22i2−2i20-22002i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000000000000
χ724-44-4-2-2400-4-222-22223−2323−23101-1-1-22-20−330−33−23232000-113−30000i6−i6−i6i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23000000000000000000000000000000000
χ734-44-4-2-2400-4-222-22223−2323−23101-1-1-22-20−330−33−23232000-113−30000−i6i6i6−i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23000000000000000000000000000000000
χ744-44-4-2-2400-4-222-222−2323−2323101-1-1-22-203−303−323−232000-11−330000i6−i6−i6i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23000000000000000000000000000000000
χ754-44-4-2-2400-4-222-222−2323−2323101-1-1-22-203−303−323−232000-11−330000−i6i6i6−i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23000000000000000000000000000000000
χ764-44-4-2-2-4004-222-22223−2323−23101-1-12-220−330−3323−23-2−2i22i201-1−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000000000000000000000000
χ774-44-4-2-2-4004-222-22223−2323−23101-1-12-220−330−3323−23-22i2−2i201-1−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000000000000000000000000
χ784-44-4-2-2-4004-222-222−2323−2323101-1-12-2203−303−3−2323-2−2i22i201-13−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000000000000000000000000
χ794-44-4-2-2-4004-222-222−2323−2323101-1-12-2203−303−3−2323-22i2−2i201-13−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000000000000000000000000
χ804-4-44440-440-4-44-4-44-4-44440-44-4000-4-4-444400000000000000000000000000000000000000000000000000000000000
χ814-4-444-204-40-4-4-2224-2-222-202-220004-2-2-422000000000000000000000000000022−2222−22−22−22−22−220000000000000000000
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χ9188-8-8-4-400004-444-44−434343−4320-2-22000023−230−232300000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-408-8044-444-4-4-44420-22-2000-4224-2-200000000000000000000000000000000000000000000000000000000000
χ938-8-88-4-40-88044-444-444-4-420-22-20004-2-2-42200000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.