Finite Group Databasebeta

← Group #11865546

Character table — Group #11865546

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222444444444444444444444444444121212121212121212121212242424242424363636361111222222222222222244444444444444444444444444412121212121212121212121224242424242436363636
order122233444466666612121212346661212121212121212121212121212121212121212121288882424242424242424246612122244222266444466666612121212646661212121212121212121212121212121212121212121288882424242424242424246612122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1
χ61111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-1111111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111
χ71111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-1111111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111
χ81111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-11111111-1-1111111111111-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1
χ9222222-222-2222222-2-2-2-22-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000222222-222-2222222-2-2-2-22-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000
χ10222222-2-2-2-2222222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222220000000000000000000000222222-2-2-2-2222222-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222220000000000000000000000
χ1122222-12222222-1-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000022222-12222222-1-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ1222222-12222222-1-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-21111000022222-12222222-1-1-12222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000
χ1322222-12-2-22222-1-1-12222-1-2-1-1-1-2-211-2-211-1-1-1-1-1-1111111110000000000002-2-1-111000022222-12-2-22222-1-1-12222-1-2-1-1-1-2-211-2-211-1-1-1-1-1-1111111110000000000002-2-1-1110000
χ1422222-12-2-22222-1-1-12222-1-2-1-1-1-2-211-2-211-1-1-1-1-1-111111111000000000000-2211-1-1000022222-12-2-22222-1-1-12222-1-2-1-1-1-2-211-2-211-1-1-1-1-1-111111111000000000000-2211-1-10000
χ1522222-1-222-2222-1-1-1-2-2-2-2-1-2-1-1-122-1-1-2-211111111-1-1-1-1111100000000000000−i3i3−i3i3000022222-1-222-2222-1-1-1-2-2-2-2-1-2-1-1-122-1-1-2-211111111-1-1-1-1111100000000000000−i3i3−i3i30000
χ1622222-1-222-2222-1-1-1-2-2-2-2-1-2-1-1-122-1-1-2-211111111-1-1-1-1111100000000000000i3−i3i3−i3000022222-1-222-2222-1-1-1-2-2-2-2-1-2-1-1-122-1-1-2-211111111-1-1-1-1111100000000000000i3−i3i3−i30000
χ1722222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1-2-21122-1-11111111111-1-1-1-100000000000000−i3i3i3−i3000022222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1-2-21122-1-11111111111-1-1-1-100000000000000−i3i3i3−i30000
χ1822222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1-2-21122-1-11111111111-1-1-1-100000000000000i3−i3−i3i3000022222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1-2-21122-1-11111111111-1-1-1-100000000000000i3−i3−i3i30000
χ192222-122222-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000002222-122222-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ202222-122222-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000002222-122222-1-1-1222-1-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000
χ212222-122-2-22-1-1-1222-1-1-1-1-1-2-1-1-111-2-211-2-222-1-1-1-11111111122-2-2-1-1-1-1111100000000002222-122-2-22-1-1-1222-1-1-1-1-1-2-1-1-111-2-211-2-222-1-1-1-11111111122-2-2-1-1-1-111110000000000
χ222222-122-2-22-1-1-1222-1-1-1-1-1-2-1-1-111-2-211-2-222-1-1-1-111111111-2-2221111-1-1-1-100000000002222-122-2-22-1-1-1222-1-1-1-1-1-2-1-1-111-2-211-2-222-1-1-1-111111111-2-2221111-1-1-1-10000000000
χ232222-12-222-2-1-1-12221111-1-2-1-1-1-1-12211-2-2-2-21111-1-1-1-11111000033−3−333−3−300000000002222-12-222-2-1-1-12221111-1-2-1-1-1-1-12211-2-2-2-21111-1-1-1-11111000033−3−333−3−30000000000
χ242222-12-222-2-1-1-12221111-1-2-1-1-1-1-12211-2-2-2-21111-1-1-1-111110000−3−333−3−33300000000002222-12-222-2-1-1-12221111-1-2-1-1-1-1-12211-2-2-2-21111-1-1-1-111110000−3−333−3−3330000000000
χ252222-12-2-2-2-2-1-1-12221111-12-1-1-111-2-2-1-122-2-211111111-1-1-1-1000033−3−3−3−33300000000002222-12-2-2-2-2-1-1-12221111-12-1-1-111-2-2-1-122-2-211111111-1-1-1-1000033−3−3−3−3330000000000
χ262222-12-2-2-2-2-1-1-12221111-12-1-1-111-2-2-1-122-2-211111111-1-1-1-10000−3−33333−3−300000000002222-12-2-2-2-2-1-1-12221111-12-1-1-111-2-2-1-122-2-211111111-1-1-1-10000−3−33333−3−30000000000
χ2722-2-22202i−2i02-2-22-2-20000202-2-22i−2i2i−2i00000000002i2i−2i−2i00002−2−i2i22−22−2−i2i2−i2i2000000000022-2-22202i−2i02-2-22-2-20000202-2-22i−2i2i−2i00000000002i2i−2i−2i00002−2−i2i22−22−2−i2i2−i2i20000000000
χ2822-2-22202i−2i02-2-22-2-20000202-2-22i−2i2i−2i00000000002i2i−2i−2i0000−22i2−i2−22−22i2−i2i2−i2000000000022-2-22202i−2i02-2-22-2-20000202-2-22i−2i2i−2i00000000002i2i−2i−2i0000−22i2−i2−22−22i2−i2i2−i20000000000
χ2922-2-2220−2i2i02-2-22-2-20000202-2-2−2i2i−2i2i0000000000−2i−2i2i2i00002−2i2−i22−22−2i2−i2i2−i2000000000022-2-2220−2i2i02-2-22-2-20000202-2-2−2i2i−2i2i0000000000−2i−2i2i2i00002−2i2−i22−22−2i2−i2i2−i20000000000
χ3022-2-2220−2i2i02-2-22-2-20000202-2-2−2i2i−2i2i0000000000−2i−2i2i2i0000−22−i2i2−22−22−i2i2−i2i2000000000022-2-2220−2i2i02-2-22-2-20000202-2-2−2i2i−2i2i0000000000−2i−2i2i2i0000−22−i2i2−22−22−i2i2−i2i20000000000
χ3122-2-2-1202i−2i0-1112-2-23−33−3-10-111−ii2i−2i−i3i3000033−3−3−i−iii−i3−i3i3i32−2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000022-2-2-1202i−2i0-1112-2-23−33−3-10-111−ii2i−2i−i3i3000033−3−3−i−iii−i3−i3i3i32−2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000
χ3222-2-2-1202i−2i0-1112-2-23−33−3-10-111−ii2i−2i−i3i3000033−3−3−i−iii−i3−i3i3i3−22i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000022-2-2-1202i−2i0-1112-2-23−33−3-10-111−ii2i−2i−i3i3000033−3−3−i−iii−i3−i3i3i3−22i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
χ3322-2-2-1202i−2i0-1112-2-2−33−33-10-111−ii2i−2ii3−i30000−3−333−i−iiii3i3−i3−i32−2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000022-2-2-1202i−2i0-1112-2-2−33−33-10-111−ii2i−2ii3−i30000−3−333−i−iiii3i3−i3−i32−2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000
χ3422-2-2-1202i−2i0-1112-2-2−33−33-10-111−ii2i−2ii3−i30000−3−333−i−iiii3i3−i3−i3−22i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000022-2-2-1202i−2i0-1112-2-2−33−33-10-111−ii2i−2ii3−i30000−3−333−i−iiii3i3−i3−i3−22i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000
χ3522-2-2-120−2i2i0-1112-2-23−33−3-10-111i−i−2i2ii3−i3000033−3−3ii−i−ii3i3−i3−i32−2i2−i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000022-2-2-120−2i2i0-1112-2-23−33−3-10-111i−i−2i2ii3−i3000033−3−3ii−i−ii3i3−i3−i32−2i2−i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
χ3622-2-2-120−2i2i0-1112-2-23−33−3-10-111i−i−2i2ii3−i3000033−3−3ii−i−ii3i3−i3−i3−22−i2i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000022-2-2-120−2i2i0-1112-2-23−33−3-10-111i−i−2i2ii3−i3000033−3−3ii−i−ii3i3−i3−i3−22−i2i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000
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χ11944-4-4-2-204i−4i0-222-222−2323−2323101-1-1−2i2i−2i2i2i3−2i3000033−3−3ii−i−i−i3−i3i3i30000000000000000000000-4-444220−4i4i02-2-22-2-223−2323−23-10-1112i−2i2i−2i−2i32i30000−3−333−i−iiii3i3−i3−i30000000000000000000000
χ12044-4-4-2-20−4i4i0-222-22223−2323−23101-1-12i−2i2i−2i2i3−2i30000−3−333−i−iii−i3−i3i3i30000000000000000000000-4-4442204i−4i02-2-22-2-2−2323−2323-10-111−2i2i−2i2i−2i32i3000033−3−3ii−i−ii3i3−i3−i30000000000000000000000
χ12144-4-4-2-20−4i4i0-222-222−2323−2323101-1-12i−2i2i−2i−2i32i3000033−3−3−i−iiii3i3−i3−i30000000000000000000000-4-4442204i−4i02-2-22-2-223−2323−23-10-111−2i2i−2i2i2i3−2i30000−3−333ii−i−i−i3−i3i3i30000000000000000000000
χ1224-44-44-2400-4-44-422-244-4-4-202-2200000000-22-22-22000000000000000000000000000000-44-44-42-40044-44-2-22-4-44420-22-2000000002-22-22-2000000000000000000000000000000
χ1234-44-44-2-4004-44-422-2-4-444-202-22000000002-22-22-2000000000000000000000000000000-44-44-42400-44-44-2-2244-4-420-22-200000000-22-22-22000000000000000000000000000000
χ1244-44-4-24400-42-22-4-44-2-222-202-22000000004-4-22-22000000000000000000000000000000-44-442-4-4004-22-244-422-2-220-22-200000000-442-22-2000000000000000000000000000000
χ1254-44-4-24-40042-22-4-4422-2-2-202-2200000000-442-22-2000000000000000000000000000000-44-442-4400-4-22-244-4-2-22220-22-2000000004-4-22-22000000000000000000000000000000
χ1264-44-4-2-2400-42-2222-2-2-22210-11-100000000-221-11-13i−3i3i−3i3i−3i3i−3i0000000000000000000000-44-4422-4004-22-2-2-2222-2-2-101-11000000002-2-11-11−3i3i−3i3i−3i3i−3i3i0000000000000000000000
χ1274-44-4-2-2400-42-2222-2-2-22210-11-100000000-221-11-1−3i3i−3i3i−3i3i−3i3i0000000000000000000000-44-4422-4004-22-2-2-2222-2-2-101-11000000002-2-11-113i−3i3i−3i3i−3i3i−3i0000000000000000000000
χ1284-44-4-2-2-40042-2222-222-2-210-11-1000000002-2-11-113i−3i3i−3i−3i3i−3i3i0000000000000000000000-44-4422400-4-22-2-2-22-2-222-101-1100000000-221-11-1−3i3i−3i3i3i−3i3i−3i0000000000000000000000
χ1294-44-4-2-2-40042-2222-222-2-210-11-1000000002-2-11-11−3i3i−3i3i3i−3i3i−3i0000000000000000000000-44-4422400-4-22-2-2-22-2-222-101-1100000000-221-11-13i−3i3i−3i−3i3i−3i3i0000000000000000000000
χ1304-4-44440000-4-44-44-4000040-4-4400000000000000000000000000000000000000000000-444-4-4-4000044-44-440000-4044-400000000000000000000000000000000000000000000
χ1314-4-444-20000-4-442-220000-2022-200000023−23000000000023−23−23230000000000000000000000-444-4-42000044-4-22-2000020-2-22000000−23230000000000−232323−230000000000000000000000
χ1324-4-444-20000-4-442-220000-2022-2000000−23230000000000−232323−230000000000000000000000-444-4-42000044-4-22-2000020-2-2200000023−23000000000023−23−23230000000000000000000000
χ1334-4-44-24000022-2-44-423−23−2323-2022-2000000000023−23−2323000000000000000000000000000000-444-42-40000-2-224-44−232323−2320-2-220000000000−232323−23000000000000000000000000000000
χ1344-4-44-24000022-2-44-4−232323−23-2022-20000000000−232323−23000000000000000000000000000000-444-42-40000-2-224-4423−23−232320-2-22000000000023−23−2323000000000000000000000000000000
χ1354-4-44-2-2000022-22-2223−23−232310-1-1100000023−2300−333−33-3-33−333−30000000000000000000000-444-4220000-2-22-22-2−232323−23-1011-1000000−2323003−3−33-333-33−3−330000000000000000000000
χ1364-4-44-2-2000022-22-2223−23−232310-1-11000000−232300−333−3-333-33−3−330000000000000000000000-444-4220000-2-22-22-2−232323−23-1011-100000023−23003−3−333-3-33−333−30000000000000000000000
χ1374-4-44-2-2000022-22-22−232323−2310-1-1100000023−23003−3−33-333-3−333−30000000000000000000000-444-4220000-2-22-22-223−23−2323-1011-1000000−232300−333−33-3-333−3−330000000000000000000000
χ1384-4-44-2-2000022-22-22−232323−2310-1-11000000−2323003−3−333-3-333−3−330000000000000000000000-444-4220000-2-22-22-223−23−2323-1011-100000023−2300−333−3-333-3−333−30000000000000000000000

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