Finite Group Databasebeta

← Group #11889281

Character table — Group #11889281

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444444444488888888888888888888888121212121818242424242424242424242424242436363636364848484872
order1222334466666634466688121212121212121212121212812121212121224242424242424242424242424242424224444244444661212121212122248861212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-111-1-11-1-1-111-1-1-1-11111-1-1-1-1-11-1-11-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ511111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-11-111111111-1-1-111-1-1-1-11
χ611111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111111-1-1-1-1111-1-11-1-11-1
χ711111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-11111111-1-1-111-1-1
χ811111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1-1-1-1-1-1-1-11111111
χ9111111111111111-1-1111111-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11-1-1111-1-111-1-11-1-111-11-11-1
χ10111111111111111-1-1111111-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11-11-11-111-1-1-1-111-111-1-111-1-11
χ11111111111111111-1-1111111-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-11-11-1-11111-1-1-111-1-1-1-1111
χ12111111111111111-1-1111111-1-1-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-1111-1-1111-11-1-1
χ13111111111111111-1-1111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-11-1-111-1-111-1-1-111111-11-1-1
χ14111111111111111-1-1111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-111111-1-1-1-1111-1-1-1-1-1-1111
χ15111111111111111-1-1111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111-1-1-1-1-11111-1-11-1-1-1-111-1-11
χ16111111111111111-1-1111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-111-1-111-1-111-11111-11-11-1
χ17222222-2-222222222-222200-222-2-2-2-2-2-2-2-2-20-2222-2-2000000000000000000002200000000000000-2-220000000
χ18222222-2-222222222-222200-222-2-2-2-2-2-2-2-2-20-2222-2-200000000000000000000-2-20000000000000022-20000000
χ19222222-2-22222222-2222200-2-2-222-2-2-2-2-2-2-202-2-2-222000000000000000000002200000000000000-22-20000000
χ20222222-2-22222222-2222200-2-2-222-2-2-2-2-2-2-202-2-2-22200000000000000000000-2-2000000000000002-220000000
χ2122222-1222-12-12-1-122-1-1-1222-1-122-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10022002000220000-1-1-1-100000-100-10
χ2222222-1222-12-12-1-122-1-1-1222-1-122-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2000-2-2000011110000010010
χ2322222-1222-12-12-1-122-1-1-1-2-22-1-122-1-1-12-1-1-1-2-12-1-1-1-1-2-2111111-2-2111111002200-20002-20000-1-1-1-10000010010
χ2422222-1222-12-12-1-122-1-1-1-2-22-1-122-1-1-12-1-1-1-2-12-1-1-1-1-2-2111111-2-211111100-2-2002000-220000111100000-100-10
χ2522222-1222-12-12-1-1-2-2-1-1-122211-2-2-1-1-12-1-1-1-21-2111122-1-1-1-1-1-1-2-2111111002200-2000-220000-1-11100000100-10
χ2622222-1222-12-12-1-1-2-2-1-1-122211-2-2-1-1-12-1-1-1-21-2111122-1-1-1-1-1-1-2-211111100-2-20020002-2000011-1-100000-10010
χ2722222-1222-12-12-1-1-2-2-1-1-1-2-2211-2-2-1-1-12-1-1-121-21111-2-211111122-1-1-1-1-1-10022002000-2-20000-1-11100000-10010
χ2822222-1222-12-12-1-1-2-2-1-1-1-2-2211-2-2-1-1-12-1-1-121-21111-2-211111122-1-1-1-1-1-100-2-200-200022000011-1-100000100-10
χ292222-1222-12-12-12-122-1-1-122-122-1-12-1-1-12-1-122-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1220000022200-1-1-1-10000000000-1-100
χ302222-1222-12-12-12-122-1-1-122-122-1-12-1-1-12-1-122-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-200000-2-2-200111100000000001100
χ312222-1222-12-12-12-122-1-1-1-2-2-122-1-12-1-1-12-1-1-22-1-1-1-1-111-2-2111111-2-2111122000002-2-200-1-1-1-100000000001100
χ322222-1222-12-12-12-122-1-1-1-2-2-122-1-12-1-1-12-1-1-22-1-1-1-1-111-2-2111111-2-21111-2-200000-2220011110000000000-1-100
χ332222-1222-12-12-12-1-2-2-1-1-122-1-2-2112-1-1-12-1-1-2-211111-1-122-1-1-1-111-2-211112200000-22-200-1-1110000000000-1100
χ342222-1222-12-12-12-1-2-2-1-1-122-1-2-2112-1-1-12-1-1-2-211111-1-122-1-1-1-111-2-21111-2-2000002-220011-1-100000000001-100
χ352222-1222-12-12-12-1-2-2-1-1-1-2-2-1-2-2112-1-1-12-1-12-21111111-2-21111-1-122-1-1-1-12200000-2-2200-1-11100000000001-100
χ362222-1222-12-12-12-1-2-2-1-1-1-2-2-1-2-2112-1-1-12-1-12-21111111-2-21111-1-122-1-1-1-1-2-20000022-20011-1-10000000000-1100
χ372-2-22222-22-2-2-2-222002-2-20020000222-2-2-2-2000000000000000000000002-22i−2i000000002-2002i−2i000002i−2i00000
χ382-2-22222-22-2-2-2-222002-2-20020000222-2-2-2-2000000000000000000000002-2−2i2i000000002-200−2i2i00000−2i2i00000
χ392-2-22222-22-2-2-2-222002-2-20020000222-2-2-2-200000000000000000000000-222i−2i00000000-22002i−2i00000−2i2i00000
χ402-2-22222-22-2-2-2-222002-2-20020000222-2-2-2-200000000000000000000000-22−2i2i00000000-2200−2i2i000002i−2i00000
χ4144444-2-4-44-24-24-2-24-4-2-2-200-4-2-2-4-4222-4222024-2-2220000000000000000000000000000000000000000000000
χ4244444-2-4-44-24-24-2-2-44-2-2-200-42244222-42220-2-422-2-20000000000000000000000000000000000000000000000
χ434444-24-4-4-24-24-24-24-4-2-2-20024422-4222-4220-4-2-2-2220000000000000000000000000000000000000000000000
χ444444-24-4-4-24-24-24-2-44-2-2-2002-4-4-2-2-4222-42204222-2-20000000000000000000000000000000000000000000000
χ454444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-211-2-2114-2-21111-2-2-2-21111-2-2-2-21111000000000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-2-211-2-211-4-2-211112222-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-411144-22222-211-2-211-422-1-1-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-4-4-22222-211-2-211422-1-1-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000
χ494444-2-2-4-4-2-2-2-2-2-214-4111002-2-2222-1-122-1-102-211-1-100003i3i−3i−3i00003i3i−3i−3i000000000000000000000000000000
χ504444-2-2-4-4-2-2-2-2-2-214-4111002-2-2222-1-122-1-102-211-1-10000−3i−3i3i3i0000−3i−3i3i3i000000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-21-4411100222-2-22-1-122-1-10-22-1-11100003i3i−3i−3i0000−3i−3i3i3i000000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-4411100222-2-22-1-122-1-10-22-1-1110000−3i−3i3i3i00003i3i−3i−3i000000000000000000000000000000
χ5344-4-44400-44-4-44-4400-44-4000000000000000000000000000000000000000004i−4i000000000000000000000000
χ5444-4-44400-44-4-44-4400-44-400000000000000000000000000000000000000000−4i4i000000000000000000000000
χ554-44-44400-4-444-4-4400-4-44−2i22i20000000000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000
χ564-44-44400-4-444-4-4400-4-442i2−2i200000000000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000
χ574-44-44-200-424-2-42-20022-2−2i22i2023−2300000000000023−2300−2i22i2i2−i2i2−i2i2−i200i6−i6i6−i6i6−i6000000000000000000000000000000
χ584-44-44-200-424-2-42-20022-2−2i22i20−2323000000000000−232300−2i22i2i2−i2i2−i2i2−i200−i6i6−i6i6−i6i6000000000000000000000000000000
χ594-44-44-200-424-2-42-20022-22i2−2i2023−2300000000000023−23002i2−2i2−i2i2−i2i2−i2i200−i6i6−i6i6−i6i6000000000000000000000000000000
χ604-44-44-200-424-2-42-20022-22i2−2i20−2323000000000000−2323002i2−2i2−i2i2−i2i2−i2i200i6−i6i6−i6i6−i6000000000000000000000000000000
χ614-44-4-24002-4-242-4-20022-2−2i22i2000−2i32i3000000000000−2i32i3i2−i2−2i22i2i2−i2i2−i26−6006−6−66000000000000000000000000000000
χ624-44-4-24002-4-242-4-20022-2−2i22i20002i3−2i30000000000002i3−2i3i2−i2−2i22i2i2−i2i2−i2−6600−666−6000000000000000000000000000000
χ634-44-4-24002-4-242-4-20022-22i2−2i2000−2i32i3000000000000−2i32i3−i2i22i2−2i2−i2i2−i2i2−6600−666−6000000000000000000000000000000
χ644-44-4-24002-4-242-4-20022-22i2−2i20002i3−2i30000000000002i3−2i3−i2i22i2−2i2−i2i2−i2i26−6006−6−66000000000000000000000000000000
χ654-44-4-2-20022-2-222100-1-11−2i22i2023−23−2i32i303i−3i003i−3i000−33i3−i3i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000
χ664-44-4-2-20022-2-222100-1-11−2i22i2023−232i3−2i30−3i3i00−3i3i000−33−i3i3i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ674-44-4-2-20022-2-222100-1-11−2i22i20−2323−2i32i30−3i3i00−3i3i0003−3i3−i3i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ236−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ684-44-4-2-20022-2-222100-1-11−2i22i20−23232i3−2i303i−3i003i−3i0003−3−i3i3i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000
χ694-44-4-2-20022-2-222100-1-112i2−2i2023−23−2i32i303i−3i003i−3i000−33i3−i3−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000
χ704-44-4-2-20022-2-222100-1-112i2−2i2023−232i3−2i30−3i3i00−3i3i000−33−i3i3−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ236−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ714-44-4-2-20022-2-222100-1-112i2−2i20−2323−2i32i30−3i3i00−3i3i0003−3i3−i3−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ724-44-4-2-20022-2-222100-1-112i2−2i20−23232i3−2i303i−3i003i−3i0003−3−i3i3−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000
χ734-4-4444-444-4-4-4-444004-4-400-40000-4-4-4444400000000000000000000000000000000000000000000000000000
χ744-4-444-24-442-42-4-2-200-2220040000-2-2-2-422200000000000000000000000004i−4i000000000000−2i2i000000000000
χ754-4-444-24-442-42-4-2-200-2220040000-2-2-2-42220000000000000000000000000−4i4i0000000000002i−2i000000000000
χ764-4-444-2-4442-42-4-2-200-22200-400002224-2-2-200000000000000000000000000000000000000000−2i32i30000000000
χ774-4-444-2-4442-42-4-2-200-22200-400002224-2-2-2000000000000000000000000000000000000000002i3−2i30000000000
χ784-4-44-244-4-2-42-424-200-22200-200004-2-22-422000000000000000000000004-40000000000-220000000000000000
χ794-4-44-244-4-2-42-424-200-22200-200004-2-22-42200000000000000000000000-4400000000002-20000000000000000
χ804-4-44-24-44-2-42-424-200-2220020000-422-24-2-2000000000000000000000000000000000000023−2300000000000000
χ814-4-44-24-44-2-42-424-200-2220020000-422-24-2-20000000000000000000000000000000000000−232300000000000000
χ8288-8-88-400-8-4-8484-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4800484-8-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8488-8-8-4-4004-444-44200-22-2000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ8588-8-8-4-4004-444-44200-22-200000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000
χ868-8-88-4-48-8-44444-42002-2-200-40000-42244-2-200000000000000000000000000000000000000000000000000000
χ878-8-88-4-4-88-44444-42002-2-200400004-2-2-4-42200000000000000000000000000000000000000000000000000000

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