Finite Group Databasebeta

← Group #11780260

Character table — Group #11780260

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222222224444444444444444488888888888888888888888121212121212121212121212121212122424242424242424242448484872727272
order12223344446666661212121234666121212121212121212121212881212121212242424242424242424242424242424244444888824242424242424242466121212121212412124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1111111111111111-111-1-1-1-111-1-1-1-1-1-1-1
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
χ61111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-11-1-11111-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111111-1-111
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
χ92222222-22-222222222222-2222-2-22-2-222222-2-200-2-2-2-2-2000000000000000022000000000000000-20022-2-2000000000
χ102222222-22-222222222222-2222-2-22-2-222222-2-200-2-2-2-2-20000000000000000-2-2000000000000000200-2-222000000000
χ11222222-22-22222222-2-2-2-22-222222-222-2-2-2-2-2-2-200-222-2-200000000000000000022000000000000-20-2-20000220000000
χ12222222-22-22222222-2-2-2-22-222222-222-2-2-2-2-2-2-200-222-2-2000000000000000000-2-200000000000020220000-2-20000000
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
χ1522222-12222-1-122-12-1-1-1-1-12-1-1-1-1-1222-1-12-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100222222-1-1-1-1-1-1-1-120-1-10000-1-10000000
χ1622222-12222-1-122-12-1-1-1-1-12-1-1-1-1-1222-1-12-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-2-2-2-2-211111111-20110000110000000
χ1722222-12222-1-122-12-1-1-1-1-12-1-1-1-1-1222-1-12-1-1-1-1-2-22-1-1-1-11111-2-2-2-2111111110022-2-2-2-21111111120-1-10000-1-10000000
χ1822222-12222-1-122-12-1-1-1-1-12-1-1-1-1-1222-1-12-1-1-1-1-2-22-1-1-1-11111-2-2-2-21111111100-2-22222-1-1-1-1-1-1-1-1-20110000110000000
χ1922222-1-22-22-1-122-121111-1-2-1-1-1-1-1-22211-2111100-2-1-11133−3−300003333−3−3−3−3002200003333−3−3−3−3-20110000-1-10000000
χ2022222-1-22-22-1-122-121111-1-2-1-1-1-1-1-22211-2111100-2-1-11133−3−300003333−3−3−3−300-2-20000−3−3−3−3333320-1-10000110000000
χ2122222-1-22-22-1-122-121111-1-2-1-1-1-1-1-22211-2111100-2-1-111−3−3330000−3−3−3−3333300220000−3−3−3−33333-20110000-1-10000000
χ2222222-1-22-22-1-122-121111-1-2-1-1-1-1-1-22211-2111100-2-1-111−3−3330000−3−3−3−3333300-2-200003333−3−3−3−320-1-10000110000000
χ232222-12222222-1-12-12222-12-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000000000000000200-1-1-1-1002-1-10000
χ242222-12222222-1-12-12222-12-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000000000000-200111100-2110000
χ252222-12222222-1-12-12222-12-1-1-122-1-1-1-1-1-1-1-122-2-2-1-1-1-1-1-2-2-2-211111111111122000000000000000200-1-1-1-100-2110000
χ262222-12222222-1-12-12222-12-1-1-122-1-1-1-1-1-1-1-122-2-2-1-1-1-1-1-2-2-2-2111111111111-2-2000000000000000-2001111002-1-10000
χ272222-122-22-222-1-12-12222-1-2-1-1-1-2-2-111-1-1-1-1-1-2-200111110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i322000000000000000-200-1-111000−i3i30000
χ282222-122-22-222-1-12-12222-1-2-1-1-1-2-2-111-1-1-1-1-1-2-200111110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-2-200000000000000020011-1-1000i3−i30000
χ292222-122-22-222-1-12-12222-1-2-1-1-1-2-2-111-1-1-1-1-1-2-200111110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i322000000000000000-200-1-111000i3−i30000
χ302222-122-22-222-1-12-12222-1-2-1-1-1-2-2-111-1-1-1-1-1-2-200111110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-2-200000000000000020011-1-1000−i3i30000
χ312-22-222-2020-2-22-22-2-2-222202-2-200-200-2-222200000000000000000000000002i−2i0022−2−222−2−222−2−200002i−2i000000000−i2i2
χ322-22-222-2020-2-22-22-2-2-222202-2-200-200-2-222200000000000000000000000002i−2i00−2−222−2−222−2−22200002i−2i000000000i2−i2
χ332-22-222-2020-2-22-22-2-2-222202-2-200-200-2-22220000000000000000000000000−2i2i0022−2−222−2−222−2−20000−2i2i000000000i2−i2
χ342-22-222-2020-2-22-22-2-2-222202-2-200-200-2-22220000000000000000000000000−2i2i00−2−222−2−222−2−2220000−2i2i000000000−i2i2
χ352-2-2222020-22-2-2-2-22000020-22-22-202-20000000−i2i202-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002i−2i2−22−22−22−22−22−2000000002i−2i0000000
χ362-2-2222020-22-2-2-2-22000020-22-22-202-20000000−i2i202-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200−2i2i−22−22−22−22−22−2200000000−2i2i0000000
χ372-2-2222020-22-2-2-2-22000020-22-22-202-20000000i2−i202-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002i−2i−22−22−22−22−22−22000000002i−2i0000000
χ382-2-2222020-22-2-2-2-22000020-22-22-202-20000000i2−i202-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200−2i2i2−22−22−22−22−22−200000000−2i2i0000000
χ392-2-222-1020-2-11-2-2123−33−3-101-11-1102-23−303−33−3−i2i20-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23002i−2i2−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ700−i3i30000−ii0000000
χ402-2-222-1020-2-11-2-2123−33−3-101-11-1102-23−303−33−3−i2i20-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ2300−2i2i−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ700i3−i30000i−i0000000
χ412-2-222-1020-2-11-2-2123−33−3-101-11-1102-23−303−33−3i2−i20-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23002i−2i−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ700−i3i30000−ii0000000
χ422-2-222-1020-2-11-2-2123−33−3-101-11-1102-23−303−33−3i2−i20-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ2300−2i2i2−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ700i3−i30000i−i0000000
χ432-2-222-1020-2-11-2-212−33−33-101-11-1102-2−330−33−33−i2i20-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7002i−2i2−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2300i3−i30000−ii0000000
χ442-2-222-1020-2-11-2-212−33−33-101-11-1102-2−330−33−33−i2i20-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ700−2i2i−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2300−i3i30000i−i0000000
χ452-2-222-1020-2-11-2-212−33−33-101-11-1102-2−330−33−33i2−i20-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7002i−2i−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2300i3−i30000−ii0000000
χ462-2-222-1020-2-11-2-212−33−33-101-11-1102-2−330−33−33i2−i20-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ700−2i2i2−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2300−i3i30000i−i0000000
χ4744444-24-44-4-2-244-24-2-2-2-2-2-4-2-2-2224-4-4-2-24-2-22200-422220000000000000000000000000000000000000000000000000
χ4844444-2-4-4-4-4-2-244-242222-24-2-2-222-4-4-422-422-2-200422-2-20000000000000000000000000000000000000000000000000
χ494444-24-44-4444-2-24-2-4-4-4-4-2-4-2-2-2442-2-222222-4-4002-2-2220000000000000000000000000000000000000000000000000
χ504444-24-4-4-4-444-2-24-2-4-4-4-4-24-2-2-2-4-4222222224400-222-2-20000000000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-211-211-2-244-21111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000
χ524444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-211-211-2-2-4-4-2111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ534444-2-24-44-4-2-2-2-2-2-2-2-2-2-21-411122-22211-21122002-1-1-1-10000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000
χ544444-2-24-44-4-2-2-2-2-2-2-2-2-2-21-411122-22211-21122002-1-1-1-100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000
χ554444-2-2-44-44-2-2-2-2-2-222221-4111-2-22-2-2-1-12-1-12200211-1-12323−23−230000−3−3−3−33333000000000000000000000000000000000
χ564444-2-2-44-44-2-2-2-2-2-222221-4111-2-22-2-2-1-12-1-12200211-1-1−23−23232300003333−3−3−3−3000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-222221411122222-1-12-1-1-2-200-2-1-111000000003i3i−3i−3i−3i−3i3i3i000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-222221411122222-1-12-1-1-2-200-2-1-11100000000−3i−3i3i3i3i3i−3i−3i000000000000000000000000000000000
χ5944-4-4440000-44-44-4-4000040-4-440000000000000000000000000000000000000002-2-222-2-222-2-2200000000000000000
χ6044-4-4440000-44-44-4-4000040-4-44000000000000000000000000000000000000000-222-2-222-2-222-200000000000000000
χ6144-4-44-200002-2-442-423−23−2323-2022-20000023−230−2323000000000000000000000000000002-2-22−1+31−31−3−1+3−1−31+31+3−1−300000000000000000
χ6244-4-44-200002-2-442-423−23−2323-2022-20000023−230−232300000000000000000000000000000-222-21−3−1+3−1+31−31+3−1−3−1−31+300000000000000000
χ6344-4-44-200002-2-442-4−232323−23-2022-200000−2323023−23000000000000000000000000000002-2-22−1−31+31+3−1−3−1+31−31−3−1+300000000000000000
χ6444-4-44-200002-2-442-4−232323−23-2022-200000−2323023−2300000000000000000000000000000-222-21+3−1−3−1−31+31−3−1+3−1+31−300000000000000000
χ654-44-44440-40-4-44-44-444-4-4404-4-40040044-4-4-40000000000000000000000000000000000000000000000000000000000
χ664-44-44-240-40224-4-2-4-2-222-20-22200400-2-2-42200000000000000000000000000000000066−6−6−6−66600000000000000000
χ674-44-44-240-40224-4-2-4-2-222-20-22200400-2-2-422000000000000000000000000000000000−6−66666−6−600000000000000000
χ684-44-44-2-4040224-4-2-422-2-2-20-22200-400224-2-2000000000000000000000000000002222−22−22−2−222−2−22200000000000000000
χ694-44-44-2-4040224-4-2-422-2-2-20-22200-400224-2-200000000000000000000000000000−22−22222222−2−222−2−200000000000000000
χ704-44-4-2440-40-4-4-224244-4-4-20-22200-200-2-222200000000000000000000000000000000000000000000000−2i32i3000000000
χ714-44-4-2440-40-4-4-224244-4-4-20-22200-200-2-2222000000000000000000000000000000000000000000000002i3−2i3000000000
χ724-44-4-24-4040-4-4-2242-4-444-20-2220020022-2-2-200000000000000000000000004i−4i000000000000000000−2i2i00000000000
χ734-44-4-24-4040-4-4-2242-4-444-20-2220020022-2-2-20000000000000000000000000−4i4i0000000000000000002i−2i00000000000
χ744-4-44440-4044-4-4-4-44000040-44-4-440-440000000000-44000000000000000000000000000000000000000000000000000
χ754-4-444-20-404-22-4-42423−2323−23-202-222-20-4423−23023−23−23230002-2−23230000000000000000000000000000000000000000000000000
χ764-4-444-20-404-22-4-424−2323−2323-202-222-20-44−23230−232323−230002-223−230000000000000000000000000000000000000000000000000
χ774-4-44-24040-44-422-4-20000-202-224-40-220000000−2i22i20-2200−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000000000000
χ784-4-44-24040-44-422-4-20000-202-224-40-2200000002i2−2i20-22002i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000000000000
χ794-4-44-240-4044-422-4-20000-202-22-4402-200000000002-20000006−6−666−6−666−6−66000000000000000000000000000000000
χ804-4-44-240-4044-422-4-20000-202-22-4402-200000000002-2000000−666−6−666−6−666−6000000000000000000000000000000000
χ814-4-44-2-2040-4-22222-223−2323−2310-11-1-220-22−330−3323−23−2i22i201-1−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000000000000000000000000
χ824-4-44-2-2040-4-22222-223−2323−2310-11-1-220-22−330−3323−232i2−2i201-1−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000000000000000000000000
χ834-4-44-2-2040-4-22222-2−2323−232310-11-1-220-223−303−3−2323−2i22i201-13−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000000000000000000000000
χ844-4-44-2-2040-4-22222-2−2323−232310-11-1-220-223−303−3−23232i2−2i201-13−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000000000000000000000000
χ854-4-44-2-20-404-22222-223−2323−2310-11-12-202-2−330−33−2323000-113−300006−6−66ζ5−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
χ864-4-44-2-20-404-22222-223−2323−2310-11-12-202-2−330−33−2323000-113−30000−666−6−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
χ874-4-44-2-20-404-22222-2−2323−232310-11-12-202-23−303−323−23000-11−3300006−6−66−2ζ5+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
χ884-4-44-2-20-404-22222-2−2323−232310-11-12-202-23−303−323−23000-11−330000−666−62ζ5−2ζ7+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
χ8988-8-8-480000-884-4-840000-4044-400000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-400004-44-44443−43−434320-2-2200000−2323023−230000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-400004-44-444−434343−4320-2-220000023−230−23230000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-480-8044-44-44-4-444202-2-200-400224-2-20000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4-808044-44-4444-4-4202-2-200400-2-2-4220000000000000000000000000000000000000000000000000000000000

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