Finite Group Databasebeta

← Group #11780113

Character table — Group #11780113

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222222224444444444444444488888888888888888888888121212121212121212121212121212122424242424242424242448484872727272
order122233444466666612121212346661212121212121212121212128812121212122424242424242424242424242424242422448888242424242424242424666612121212412124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1111111111111111-1-1-111-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-1
χ61111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1111-1-111-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111111-1-111
χ81111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111-1-1
χ92222222-2-22222222-2-2-2-22-22222222-2-2-2-2-2-2-2-200-222-2-200000000000000000022000000000000-2000-2-200220000000
χ102222222-2-22222222-2-2-2-22-22222222-2-2-2-2-2-2-2-200-222-2-2000000000000000000-2-200000000000020002200-2-20000000
χ11222222-222-222222222222-2222-2-2-2-2222222-2-200-2-2-2-2-2000000000000000022000000000000000-22200-2-2000000000
χ12222222-222-222222222222-2222-2-2-2-2222222-2-200-2-2-2-2-20000000000000000-2-20000000000000002-2-20022000000000
χ13222222-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-222002-2-2220000000000000000000000000000000000000000000002-200
χ14222222-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-222002-2-222000000000000000000000000000000000000000000000-2200
χ1522222-1222222-12-1-12222-12-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220000000000000002-1-100-1-1002-1-10000
χ1622222-1222222-12-1-12222-12-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000000000000-211001100-2110000
χ1722222-1222222-12-1-12222-12-1-1-122-1-1-1-1-1-1-1-122-2-2-1-1-1-1-1-2-2-2-2111111111111220000000000000002-1-100-1-100-2110000
χ1822222-1222222-12-1-12222-12-1-1-122-1-1-1-1-1-1-1-122-2-2-1-1-1-1-1-2-2-2-2111111111111-2-2000000000000000-2110011002-1-10000
χ1922222-1-222-222-12-1-12222-1-2-1-1-1-2-211-1-1-1-1-1-1-2-200111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i322000000000000000-2-1-10011000−i3i30000
χ2022222-1-222-222-12-1-12222-1-2-1-1-1-2-211-1-1-1-1-1-1-2-200111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3-2-200000000000000021100-1-1000i3−i30000
χ2122222-1-222-222-12-1-12222-1-2-1-1-1-2-211-1-1-1-1-1-1-2-200111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i322000000000000000-2-1-10011000i3−i30000
χ2222222-1-222-222-12-1-12222-1-2-1-1-1-2-211-1-1-1-1-1-1-2-200111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3-2-200000000000000021100-1-1000−i3i30000
χ232222-122222-1-12-122-1-1-1-1-12-1-1-1-1-1222-1-12-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100222222-1-1-1-1-1-1-1-12000-1-100-1-10000000
χ242222-122222-1-12-122-1-1-1-1-12-1-1-1-1-1222-1-12-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100-2-2-2-2-2-211111111-20001100110000000
χ252222-122222-1-12-122-1-1-1-1-12-1-1-1-1-1222-1-12-1-1-1-1-2-22-1-1-1-11111-2-21111-2-211110022-2-2-2-2111111112000-1-100-1-10000000
χ262222-122222-1-12-122-1-1-1-1-12-1-1-1-1-1222-1-12-1-1-1-1-2-22-1-1-1-11111-2-21111-2-2111100-2-22222-1-1-1-1-1-1-1-1-20001100110000000
χ272222-122-2-22-1-12-1221111-1-2-1-1-1-1-122-211-2111100-2-1-11133−3−30033−3−30033−3−3002200003333−3−3−3−3-20001100-1-10000000
χ282222-122-2-22-1-12-1221111-1-2-1-1-1-1-122-211-2111100-2-1-11133−3−30033−3−30033−3−300-2-20000−3−3−3−333332000-1-100110000000
χ292222-122-2-22-1-12-1221111-1-2-1-1-1-1-122-211-2111100-2-1-111−3−33300−3−33300−3−33300220000−3−3−3−33333-20001100-1-10000000
χ302222-122-2-22-1-12-1221111-1-2-1-1-1-1-122-211-2111100-2-1-111−3−33300−3−33300−3−33300-2-200003333−3−3−3−32000-1-100110000000
χ312-22-222-20022-2-2-22-20000202-2-22-22-200000000−i2i202-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002i−2i22−2−222−2−222−2−2000000002i−2i0000000
χ322-22-222-20022-2-2-22-20000202-2-22-22-200000000−i2i202-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200−2i2i−2−222−2−222−2−22200000000−2i2i0000000
χ332-22-222-20022-2-2-22-20000202-2-22-22-200000000i2−i202-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002i−2i−2−222−2−222−2−222000000002i−2i0000000
χ342-22-222-20022-2-2-22-20000202-2-22-22-200000000i2−i202-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200−2i2i22−2−222−2−222−2−200000000−2i2i0000000
χ352-22-2-12-2002-11-212-23−33−3-10-111-112-203−303−33−3−i2i20-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23002i−2i22−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000−i3i300−ii0000000
χ362-22-2-12-2002-11-212-23−33−3-10-111-112-203−303−33−3−i2i20-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300−2i2i−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000i3−i300i−i0000000
χ372-22-2-12-2002-11-212-23−33−3-10-111-112-203−303−33−3i2−i20-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23002i−2i−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000−i3i300−ii0000000
χ382-22-2-12-2002-11-212-23−33−3-10-111-112-203−303−33−3i2−i20-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300−2i2i22−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000i3−i300i−i0000000
χ392-22-2-12-2002-11-212-2−33−33-10-111-112-20−330−33−33−i2i20-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7002i−2i22−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000i3−i300−ii0000000
χ402-22-2-12-2002-11-212-2−33−33-10-111-112-20−330−33−33−i2i20-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700−2i2i−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000−i3i300i−i0000000
χ412-22-2-12-2002-11-212-2−33−33-10-111-112-20−330−33−33i2−i20-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7002i−2i−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000i3−i300−ii0000000
χ422-22-2-12-2002-11-212-2−33−33-10-111-112-20−330−33−33i2−i20-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700−2i2i22−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000−i3i300i−i0000000
χ432-2-22220-220-2-2-22-22-2-22220-22-20000-2-2-222200000000000000000000000002-2002−22−22−22−22−22−2002-2000000000002−2
χ442-2-22220-220-2-2-22-22-2-22220-22-20000-2-2-222200000000000000000000000002-200−22−22−22−22−22−22002-200000000000−22
χ452-2-22220-220-2-2-22-22-2-22220-22-20000-2-2-22220000000000000000000000000-22002−22−22−22−22−22−200-2200000000000−22
χ462-2-22220-220-2-2-22-22-2-22220-22-20000-2-2-22220000000000000000000000000-2200−22−22−22−22−22−2200-22000000000002−2
χ4744444-24-4-4444-24-2-2-4-4-4-4-2-4-2-2-244-2-2222222-4-4002-2-2220000000000000000000000000000000000000000000000000
χ4844444-2-4-4-4-444-24-2-2-4-4-4-4-24-2-2-2-4-4222222224400-222-2-20000000000000000000000000000000000000000000000000
χ494444-24-444-4-2-24-244-2-2-2-2-2-4-2-2-222-4-44-2-24-2-22200-422220000000000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-2-24-2442222-24-2-2-222-4-4-422-422-2-200422-2-20000000000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-211-211-2-244-21111-2-2-2-2-2-21111-2-21111000000000000000000000000000000000
χ524444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-211-211-2-2-4-4-21111222222-1-1-1-122-1-1-1-1000000000000000000000000000000000
χ534444-2-24-4-44-2-2-2-2-2-222221-4111-2-2-2-22-1-12-1-12200211-1-12323−23−2300−3−33300−3−333000000000000000000000000000000000
χ544444-2-24-4-44-2-2-2-2-2-222221-4111-2-2-2-22-1-12-1-12200211-1-1−23−2323230033−3−30033−3−3000000000000000000000000000000000
χ554444-2-2-444-4-2-2-2-2-2-2-2-2-2-21-41112222-211-21122002-1-1-1-10000−2i3−2i3i3i3i3i32i32i3−i3−i3−i3−i3000000000000000000000000000000000
χ564444-2-2-444-4-2-2-2-2-2-2-2-2-2-21-41112222-211-21122002-1-1-1-100002i32i3−i3−i3−i3−i3−2i3−2i3i3i3i3i3000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-222221411122222-1-12-1-1-2-200-2-1-1110000003i3i−3i−3i00−3i−3i3i3i000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-222221411122222-1-12-1-1-2-200-2-1-111000000−3i−3i3i3i003i3i−3i−3i000000000000000000000000000000000
χ5944-4-4440000-444-4-4-4000040-4-440000000000000000000000000000000000000002-2-222-2-222-2-2200000000000000000
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χ6144-4-4-2400002-242-4-423−23−2323-2022-20000023−230−2323000000000000000000000000000002-2-22−1+31−31−3−1+3−1−31+31+3−1−300000000000000000
χ6244-4-4-2400002-242-4-423−23−2323-2022-20000023−230−232300000000000000000000000000000-222-21−3−1+3−1+31−31+3−1−3−1−31+300000000000000000
χ6344-4-4-2400002-242-4-4−232323−23-2022-200000−2323023−23000000000000000000000000000002-2-22−1−31+31+3−1−3−1+31−31−3−1+300000000000000000
χ6444-4-4-2400002-242-4-4−232323−23-2022-200000−2323023−2300000000000000000000000000000-222-21+3−1−3−1−31+31−3−1+3−1+31−300000000000000000
χ654-44-444400-44-4-4-44-40000404-4-4-44-4400000000000-44000000000000000000000000000000000000000000000000000
χ664-44-44-2400-44-42-4-220000-20-222-442-2000000000002-20000006−66−66−6−66−66−66000000000000000000000000000000000
χ674-44-44-2400-44-42-4-220000-20-222-442-2000000000002-2000000−66−66−666−66−66−6000000000000000000000000000000000
χ684-44-44-2-40044-42-4-220000-20-2224-4-2200000000−2i22i20-2200−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000000000000
χ694-44-44-2-40044-42-4-220000-20-2224-4-22000000002i2−2i20-22002i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000000000000
χ704-44-4-24400-4-22-424-423−2323−23-20-2222-2-44023−23023−23−23230002-2−23230000000000000000000000000000000000000000000000000
χ714-44-4-24400-4-22-424-4−2323−2323-20-2222-2-440−23230−232323−230002-223−230000000000000000000000000000000000000000000000000
χ724-44-4-2-2400-4-2222-2223−2323−23101-1-12-22-20−330−33−2323000-113−300006−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23000000000000000000000000000000000
χ734-44-4-2-2400-4-2222-2223−2323−23101-1-12-22-20−330−33−2323000-113−30000−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ236−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23000000000000000000000000000000000
χ744-44-4-2-2400-4-2222-22−2323−2323101-1-12-22-203−303−323−23000-11−3300006−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23000000000000000000000000000000000
χ754-44-4-2-2400-4-2222-22−2323−2323101-1-12-22-203−303−323−23000-11−330000−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ236−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23000000000000000000000000000000000
χ764-44-4-2-2-4004-2222-2223−2323−23101-1-1-22-220−330−3323−23−2i22i201-1−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000000000000000000000000
χ774-44-4-2-2-4004-2222-2223−2323−23101-1-1-22-220−330−3323−232i2−2i201-1−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000000000000000000000000
χ784-44-4-2-2-4004-2222-22−2323−2323101-1-1-22-2203−303−3−2323−2i22i201-13−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000000000000000000000000
χ794-44-4-2-2-4004-2222-22−2323−2323101-1-1-22-2203−303−3−23232i2−2i201-13−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000000000000000000000000
χ804-4-444404-40-4-4-44-4444-4-440-44-40000444-4-4-40000000000000000000000000000000000000000000000000000000000
χ814-4-444-204-40-4-4242-244-4-4-202-220000-2-2-22220000000000000000000000000000000000000000000000023−23000000000
χ824-4-444-204-40-4-4242-244-4-4-202-220000-2-2-222200000000000000000000000000000000000000000000000−2323000000000
χ834-4-444-20-440-4-4242-2-4-444-202-220000222-2-2-200000000000000000000000004-40000000000000000-220000000000000
χ844-4-444-20-440-4-4242-2-4-444-202-220000222-2-2-20000000000000000000000000-4400000000000000002-20000000000000
χ854-4-44-2404-4022-4-2-44-2-222-202-2200004-2-2-4220000000000000000000000000000000006−66−6−66−6600000000000000000
χ864-4-44-2404-4022-4-2-44-2-222-202-2200004-2-2-422000000000000000000000000000000000−66−666−66−600000000000000000
χ874-4-44-240-44022-4-2-4422-2-2-202-220000-4224-2-20000000000000000000000000000022−2222−22−22−22−22−2200000000000000000
χ884-4-44-240-44022-4-2-4422-2-2-202-220000-4224-2-200000000000000000000000000000−2222−22222−22−22−22−200000000000000000
χ8988-8-88-40000-88-4-8440000-4044-400000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400004-4-444443−43−434320-2-2200000−2323023−230000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400004-4-4444−434343−4320-2-220000023−230−23230000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-408-80444-44-4-4-44420-22-20000-4224-2-20000000000000000000000000000000000000000000000000000000000
χ938-8-88-4-40-880444-44-444-4-420-22-200004-2-2-4220000000000000000000000000000000000000000000000000000000000

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