Finite Group Databasebeta

← Group #11776301

Character table — Group #11776301

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222224444444444444444466666688888888888888888888888121212121212121212121212122424242424242424242424243636363648487272
order12223344446666661212121234666121212121212121212121212224444881212121212242424242424242424242424242424244668888121212121212448824242424242424248888121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9111111-1-1-1-1111111-1-1-1-111111-111-1-1-1-1-1-1-1-1-11111-1-1i−i111-1-1ii−i−iiiiiii−i−i−i−i−i−i-111ii−i−i11-1-1-1-11-1i−iii−i−iii−i−iii−i−i1-11-1
χ10111111-1-1-1-1111111-1-1-1-111111-111-1-1-1-1-1-1-1-1-11111-1-1i−i111-1-1ii−i−iiiiiii−i−i−i−i−i−i-111−i−iii11-1-1-1-1-11i−iii−i−i−i−iii−i−iii-11-11
χ11111111-1-1-1-1111111-1-1-1-111111-111-1-1-1-1-1-1-1-1-11111-1-1−ii111-1-1−i−iii−i−i−i−i−i−iiiiiii-111ii−i−i11-1-1-1-1-11−ii−i−iiiii−i−iii−i−i-11-11
χ12111111-1-1-1-1111111-1-1-1-111111-111-1-1-1-1-1-1-1-1-11111-1-1−ii111-1-1−i−iii−i−i−i−i−i−iiiiiii-111−i−iii11-1-1-1-11-1−ii−i−iii−i−iii−i−iii1-11-1
χ13111111-1-1-1-1111111-1-1-1-111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111i−i111-1-1ii−i−iiiiiii−i−i−i−i−i−i1-1-1ii−i−i-1-111111-1−ii−i−iiiii−i−i−i−iii1-1-11
χ14111111-1-1-1-1111111-1-1-1-111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111i−i111-1-1ii−i−iiiiiii−i−i−i−i−i−i1-1-1−i−iii-1-11111-11−ii−i−iii−i−iiiii−i−i-111-1
χ15111111-1-1-1-1111111-1-1-1-111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111−ii111-1-1−i−iii−i−i−i−i−i−iiiiiii1-1-1ii−i−i-1-11111-11i−iii−i−iii−i−i−i−iii-111-1
χ16111111-1-1-1-1111111-1-1-1-111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111−ii111-1-1−i−iii−i−i−i−i−i−iiiiiii1-1-1−i−iii-1-111111-1i−iii−i−i−i−iiiii−i−i1-1-11
χ172222222-22-222222222222-2222-2-2-2-2-2222222-222-2-22200-2-2-2-2-20000000000000000-2220000-2-222-2-200000000000000000000
χ182222222-22-222222222222-2222-2-2-2-2-2222222-2-2-222-2-200-2-2-2-2-200000000000000002-2-2000022-2-22200000000000000000000
χ19222222-22-22222222-2-2-2-22-22222-2-222-2-2-2-2-2-2222-2-2-2-200-2-2-22200000000000000002220000-2-2-2-22200000000000000000000
χ20222222-22-22222222-2-2-2-22-22222-2-222-2-2-2-2-2-22-2-2222200-2-2-2220000000000000000-2-2-200002222-2-200000000000000000000
χ2122222-1222222-1-1-12-1-1-1-1-12-1-1-12-1-1-1-12-1-12-1-12222222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12-1-10000-1-1-1-1-1-10022-1-1-1-1000000000000
χ2222222-1222222-1-1-12-1-1-1-1-12-1-1-12-1-1-1-12-1-12-1-12222222-2-22-1-1-1-11111-2-21111-2-211112-1-10000-1-1-1-1-1-100-2-21111000000000000
χ2322222-1222222-1-1-12-1-1-1-1-12-1-1-12-1-1-1-12-1-12-1-12-2-2-2-2-2-2222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-211000011111100-2-21111000000000000
χ2422222-1222222-1-1-12-1-1-1-1-12-1-1-12-1-1-1-12-1-12-1-12-2-2-2-2-2-2-2-22-1-1-1-11111-2-21111-2-21111-21100001111110022-1-1-1-1000000000000
χ2522222-12-22-222-1-1-12-1-1-1-1-1-2-1-1-1-211112-1-12-1-1-222-2-22200-21111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i3-2-1-1000011-1-1110000−i3i3−i3i3000000000000
χ2622222-12-22-222-1-1-12-1-1-1-1-1-2-1-1-1-211112-1-12-1-1-222-2-22200-21111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i3-2-1-1000011-1-1110000i3−i3i3−i3000000000000
χ2722222-12-22-222-1-1-12-1-1-1-1-1-2-1-1-1-211112-1-12-1-1-2-2-222-2-200-21111−i3i3−i3i300−i3−i3i3i300−i3−i3i3i32110000-1-111-1-10000i3−i3i3−i3000000000000
χ2822222-12-22-222-1-1-12-1-1-1-1-1-2-1-1-1-211112-1-12-1-1-2-2-222-2-200-21111i3−i3i3−i300i3i3−i3−i300i3i3−i3−i32110000-1-111-1-10000−i3i3−i3i3000000000000
χ2922222-1-22-2222-1-1-121111-1-2-1-1-1211-1-1-211-211222-2-2-2-200-211-1-13−3−330033−3−300−3−3332-1-100001111-1-100003−3−33000000000000
χ3022222-1-22-2222-1-1-121111-1-2-1-1-1211-1-1-211-211222-2-2-2-200-211-1-1−333−300−3−3330033−3−32-1-100001111-1-10000−333−3000000000000
χ3122222-1-22-2222-1-1-121111-1-2-1-1-1211-1-1-211-2112-2-2222200-211-1-13−3−330033−3−300−3−333-2110000-1-1-1-1110000−333−3000000000000
χ3222222-1-22-2222-1-1-121111-1-2-1-1-1211-1-1-211-2112-2-2222200-211-1-1−333−300−3−3330033−3−3-2110000-1-1-1-11100003−3−33000000000000
χ3322222-1-2-2-2-222-1-1-121111-12-1-1-1-2-1-111-211-211-22222-2-22i−2i2-1-111−i−iii2i2i−i−i−i−i−2i−2iiiii-2-1-10000-1-11111002i−2i−i−iii000000000000
χ3422222-1-2-2-2-222-1-1-121111-12-1-1-1-2-1-111-211-211-22222-2-2−2i2i2-1-111ii−i−i−2i−2iiiii2i2i−i−i−i−i-2-1-10000-1-1111100−2i2iii−i−i000000000000
χ3522222-1-2-2-2-222-1-1-121111-12-1-1-1-2-1-111-211-211-2-2-2-2-2222i−2i2-1-111−i−iii2i2i−i−i−i−i−2i−2iiiii211000011-1-1-1-100−2i2iii−i−i000000000000
χ3622222-1-2-2-2-222-1-1-121111-12-1-1-1-2-1-111-211-211-2-2-2-2-222−2i2i2-1-111ii−i−i−2i−2iiiii2i2i−i−i−i−i211000011-1-1-1-1002i−2i−i−iii000000000000
χ372222-122222-1-1222-12222-12-1-1-1-12222-1-1-1-1-1-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000222200000022000000-1-1-1-10000-1-100
χ382222-122222-1-1222-12222-12-1-1-1-12222-1-1-1-1-1-1-100000022-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000-2-2-2-2000000-2-2000000111100001100
χ392222-122222-1-1222-12222-12-1-1-1-12222-1-1-1-1-1-1-1000000-2-2-1-1-1-1-1-2-2-2-21111111111110002222000000-2-2000000-1-1-1-100001100
χ402222-122222-1-1222-12222-12-1-1-1-12222-1-1-1-1-1-1-1000000-2-2-1-1-1-1-1-2-2-2-2111111111111000-2-2-2-20000002200000011110000-1-100
χ412222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1122-2-211111110000002i−2i-1-1-1112i2i−2i−2i−i−i−i−i−i−iiiiiii0002i2i−2i−2i0000002-2000000−i−iii0000-1100
χ422222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1122-2-211111110000002i−2i-1-1-1112i2i−2i−2i−i−i−i−i−i−iiiiiii000−2i−2i2i2i000000-22000000ii−i−i00001-100
χ432222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1122-2-21111111000000−2i2i-1-1-111−2i−2i2i2iiiiiii−i−i−i−i−i−i0002i2i−2i−2i000000-22000000−i−iii00001-100
χ442222-12-2-2-2-2-1-1222-1-2-2-2-2-12-1-1-1122-2-21111111000000−2i2i-1-1-111−2i−2i2i2iiiiiii−i−i−i−i−i−i000−2i−2i2i2i0000002-2000000ii−i−i0000-1100
χ452-2-222220-20-2-22-2-2222-2-2202-2-200000222-2-2-202-2002-20000000000000000000000002-2−i2i2−i2i2002-20000000000−i2i2−i2i2−i2i2−i2i20000
χ462-2-222220-20-2-22-2-2222-2-2202-2-200000222-2-2-202-2002-20000000000000000000000002-2i2−i2i2−i2002-20000000000i2−i2i2−i2i2−i2i2−i20000
χ472-2-222220-20-2-22-2-2222-2-2202-2-200000222-2-2-20-2200-22000000000000000000000000-22−i2i2−i2i200-220000000000−i2i2−i2i2i2−i2i2−i20000
χ482-2-222220-20-2-22-2-2222-2-2202-2-200000222-2-2-20-2200-22000000000000000000000000-22i2−i2i2−i200-220000000000i2−i2i2−i2−i2i2−i2i20000
χ492-2-2222-2020-2-22-2-22-2-222202-2-200000-2-2-222202-200-220000000000000000000000002-22−2−2200-2200000000002−2−222−2−220000
χ502-2-2222-2020-2-22-2-22-2-222202-2-200000-2-2-222202-200-220000000000000000000000002-2−222−200-220000000000−222−2−222−20000
χ512-2-2222-2020-2-22-2-22-2-222202-2-200000-2-2-22220-22002-2000000000000000000000000-222−2−22002-200000000002−2−22−222−20000
χ522-2-2222-2020-2-22-2-22-2-222202-2-200000-2-2-22220-22002-2000000000000000000000000-22−222−2002-20000000000−222−22−2−220000
χ534444-244-44-4-2-2444-24444-2-4-2-2-22-4-4-4-4-2-2-2-2-2-2200000000222220000000000000000000000000000000000000000000000000
χ544444-24-44-44-2-2444-2-4-4-4-4-2-4-2-2-2-2-4-444222222-200000000222-2-20000000000000000000000000000000000000000000000000
χ554444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-211-211-200000044-21111-2-2-2-2-2-21111-2-21111000000000000000000000000000000000
χ564444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-2-2-211-211-2000000-4-4-21111222222-1-1-1-122-1-1-1-1000000000000000000000000000000000
χ574444-2-24-44-4-2-2-2-2-2-2-2-2-2-21-411122222-211-2112000000002-1-1-1-1−2i32i3−2i32i300i3i3−i3−i300i3i3−i3−i3000000000000000000000000000000000
χ584444-2-24-44-4-2-2-2-2-2-2-2-2-2-21-411122222-211-2112000000002-1-1-1-12i3−2i32i3−2i300−i3−i3i3i300−i3−i3i3i3000000000000000000000000000000000
χ594444-2-2-44-44-2-2-2-2-2-222221-4111-222-2-22-1-12-1-1-2000000002-1-11123−23−232300−3−3330033−3−3000000000000000000000000000000000
χ604444-2-2-44-44-2-2-2-2-2-222221-4111-222-2-22-1-12-1-1-2000000002-1-111−232323−230033−3−300−3−333000000000000000000000000000000000
χ614444-2-2-4-4-4-4-2-2-2-2-2-22222141112-2-2222-1-12-1-120000004i−4i-211-1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i000000000000000000000000000000000
χ624444-2-2-4-4-4-4-2-2-2-2-2-22222141112-2-2222-1-12-1-12000000−4i4i-211-1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii000000000000000000000000000000000
χ6344-4-44400004-4-44-4-4000040-44-4000000000000004-4000000000000000000000000000000004-4000000000000000000000000
χ6444-4-44400004-4-44-4-4000040-44-400000000000000-4400000000000000000000000000000000-44000000000000000000000000
χ6544-4-44-200004-42-22-423−2323−23-202-2200000023−23023−230004-400000000000000000000000000000000-220023−2300000000000000000000
χ6644-4-44-200004-42-22-423−2323−23-202-2200000023−23023−23000-44000000000000000000000000000000002-200−232300000000000000000000
χ6744-4-44-200004-42-22-4−2323−2323-202-22000000−23230−23230004-400000000000000000000000000000000-2200−232300000000000000000000
χ6844-4-44-200004-42-22-4−2323−2323-202-22000000−23230−2323000-44000000000000000000000000000000002-20023−2300000000000000000000
χ694-44-444040-4-44-4-44-4000040-4-44-4004-40000004000000000004-40000000000000000000000000000000000000000000000000
χ704-44-4440-404-44-4-44-4000040-4-44400-44000000-400000000000-440000000000000000000000000000000000000000000000000
χ714-44-44-2040-4-4422-2-423−23−2323-2022-2-423−23-22023−230−2323400000000023−23-220000000000000000000000000000000000000000000000000
χ724-44-44-2040-4-4422-2-4−232323−23-2022-2-4−2323-220−2323023−234000000000−2323-220000000000000000000000000000000000000000000000000
χ734-44-44-20-404-4422-2-423−23−2323-2022-24−23232-2023−230−2323-4000000000−23232-20000000000000000000000000000000000000000000000000
χ744-44-44-20-404-4422-2-4−232323−23-2022-2423−232-20−2323023−23-400000000023−232-20000000000000000000000000000000000000000000000000
χ754-44-4-24040-42-2-4-4420000-2022-22004-4000000-200000000000-2200006−66−66−66−66−66−6000000000000000000000000000000000
χ764-44-4-24040-42-2-4-4420000-2022-22004-4000000-200000000000-220000−66−66−66−66−66−66000000000000000000000000000000000
χ774-44-4-240-4042-2-4-4420000-2022-2-200-440000002000000000002-20000i6−i6i6−i6i6−i6−i6i6−i6i6−i6i6000000000000000000000000000000000
χ784-44-4-240-4042-2-4-4420000-2022-2-200-440000002000000000002-20000−i6i6−i6i6−i6i6i6−i6i6−i6i6−i6000000000000000000000000000000000
χ794-44-4-2-2040-42-222-2223−23−232310-1-11223−23-220−3303−3-2000000000−331-100006−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ236−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23000000000000000000000000000000000
χ804-44-4-2-2040-42-222-2223−23−232310-1-11223−23-220−3303−3-2000000000−331-10000−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23000000000000000000000000000000000
χ814-44-4-2-2040-42-222-22−232323−2310-1-112−2323-2203−30−33-20000000003−31-100006−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ236−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23000000000000000000000000000000000
χ824-44-4-2-2040-42-222-22−232323−2310-1-112−2323-2203−30−33-20000000003−31-10000−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23000000000000000000000000000000000
χ834-44-4-2-20-4042-222-2223−23−232310-1-11-2−23232-20−3303−320000000003−3-110000i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23000000000000000000000000000000000
χ844-44-4-2-20-4042-222-2223−23−232310-1-11-2−23232-20−3303−320000000003−3-110000−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23000000000000000000000000000000000
χ854-44-4-2-20-4042-222-22−232323−2310-1-11-223−232-203−30−332000000000−33-110000i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23000000000000000000000000000000000
χ864-44-4-2-20-4042-222-22−232323−2310-1-11-223−232-203−30−332000000000−33-110000−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23000000000000000000000000000000000
χ874-4-444-240-40-4-4-2224-2-222-20-222000004-2-2-42204-4004-4000000000000000000000000-22000000-220000000000000000000000
χ884-4-444-240-40-4-4-2224-2-222-20-222000004-2-2-4220-4400-440000000000000000000000002-20000002-20000000000000000000000
χ894-4-444-2-4040-4-4-222422-2-2-20-22200000-4224-2-204-400-44000000000000000000000000-220000002-20000000000000000000000
χ904-4-444-2-4040-4-4-222422-2-2-20-22200000-4224-2-20-44004-40000000000000000000000002-2000000-220000000000000000000000
χ914-4-44-2440-40224-4-4-244-4-4-20-22200000-2-2-2222000000000000000000000000000000000−2i22i2−2i22i200000000000000i2−i2i2−i200000000
χ924-4-44-2440-40224-4-4-244-4-4-20-22200000-2-2-22220000000000000000000000000000000002i2−2i22i2−2i200000000000000−i2i2−i2i200000000
χ934-4-44-24-4040224-4-4-2-4-444-20-22200000222-2-2-200000000000000000000000000000000022−22−222200000000000000−222−200000000
χ944-4-44-24-4040224-4-4-2-4-444-20-22200000222-2-2-2000000000000000000000000000000000−222222−22000000000000002−2−2200000000
χ9588-8-8-480000-44-88-840000-404-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-40000-444-44443−4343−4320-22-2000000−23230−2323000000000000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-40000-444-444−4343−434320-22-200000023−23023−23000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-480-8044-444-4-4-444202-2-200000-4224-2-2000000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-808044-444-444-4-4202-2-2000004-2-2-422000000000000000000000000000000000000000000000000000000000000000

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