Finite Group Databasebeta

← Group #11884037

Character table — Group #11884037

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444444444488888888888888888888888121212121818242424242424242424242424242436363636364848484872
order12223344666666344666881212121212121212121212128121212121212242424242424242424242424242424242244222224446612121212121224488666128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-11-111111-1-1-1-1-1-1-1-1-11-1-11-1
χ3111111111111111111111111111111111111111111111111111111111-1-111-1-1-111-11-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ511111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-111111111-1-1-111-1-1-1-11
χ611111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1111-1-11111-1-1-1-1111-1-1-111-1-1
χ711111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-11111111-1-11-1-11-1
χ811111111111111111111-1-1111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-11111111
χ9111111111111111-1-111111-1-111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-1-1-1111-1-111-1-1-11-111-11-11-1
χ10111111111111111-1-111111-1-111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11111-1-1-1-1111-11-1-1-1-1111
χ11111111111111111-1-111111-1-111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-1-1-1-11111-1-11-11-1-111-1-11
χ12111111111111111-1-111111-1-111-1-1111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-111-1-111-11-1111-11-1-1
χ13111111111111111-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-11-1-1-111-1-111-1-11-11111-11-1-1
χ14111111111111111-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-11-111-1-1-1-111-11-1-1-111-1-11
χ15111111111111111-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-11-1-11111-1-1-11-1-1-1-1-1111
χ16111111111111111-1-1111-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1111-1-111-1-1111-1111-11-11-1
χ17222222-2-222222222-22220022-2-2-2-2-2-2-2-2-2-202-222-2-2000000000000000000002200000000000000-2-220000000
χ18222222-2-222222222-22220022-2-2-2-2-2-2-2-2-2-202-222-2-200000000000000000000-2-20000000000000022-20000000
χ19222222-2-22222222-2222200-2-2-2-222-2-2-2-2-2-20-22-2-2220000000000000000000022000000000000002-2-20000000
χ20222222-2-22222222-2222200-2-2-2-222-2-2-2-2-2-20-22-2-22200000000000000000000-2-200000000000000-2220000000
χ2122222-1222-122-1-1-122-1-1-122222-1-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000200202-1-1-1-1000000000-100-10
χ2222222-1222-122-1-1-122-1-1-122222-1-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-20000-200-20-2111100000000010010
χ2322222-1222-122-1-1-122-1-1-1-2-2222-1-1-1-1-12-1-1-1-2-12-1-1-1-1-2-2111111-2-2111111220000-20020-2-1-1-1-100000000010010
χ2422222-1222-122-1-1-122-1-1-1-2-2222-1-1-1-1-12-1-1-1-2-12-1-1-1-1-2-2111111-2-2111111-2-20000200-2021111000000000-100-10
χ2522222-1222-122-1-1-1-2-2-1-1-122-2-22-111-1-12-1-1-1-21-2111122-1-1-1-1-1-1-2-2111111220000-200-202-1-111000000000100-10
χ2622222-1222-122-1-1-1-2-2-1-1-122-2-22-111-1-12-1-1-1-21-2111122-1-1-1-1-1-1-2-2111111-2-2000020020-211-1-1000000000-10010
χ2722222-1222-122-1-1-1-2-2-1-1-1-2-2-2-22-111-1-12-1-1-121-21111-2-211111122-1-1-1-1-1-1220000200-20-2-1-111000000000-10010
χ2822222-1222-122-1-1-1-2-2-1-1-1-2-2-2-22-111-1-12-1-1-121-21111-2-211111122-1-1-1-1-1-1-2-20000-20020211-1-1000000000100-10
χ292222-1222-12-1-122-122-1-1-122-1-1-1222-1-1-12-1-122-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10022000220200000-1-1-1-1000000-1-100
χ302222-1222-12-1-122-122-1-1-122-1-1-1222-1-1-12-1-122-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-2000-2-20-20000011110000001100
χ312222-1222-12-1-122-122-1-1-1-2-2-1-1-1222-1-1-12-1-1-22-1-1-1-1-111-2-2111111-2-211110022000-2-20200000-1-1-1-10000001100
χ322222-1222-12-1-122-122-1-1-1-2-2-1-1-1222-1-1-12-1-1-22-1-1-1-1-111-2-2111111-2-2111100-2-2000220-2000001111000000-1-100
χ332222-1222-12-1-122-1-2-2-1-1-12211-12-2-2-1-1-12-1-1-2-211111-1-122-1-1-1-111-2-2111100220002-20-200000-1-111000000-1100
χ342222-1222-12-1-122-1-2-2-1-1-12211-12-2-2-1-1-12-1-1-2-211111-1-122-1-1-1-111-2-2111100-2-2000-22020000011-1-10000001-100
χ352222-1222-12-1-122-1-2-2-1-1-1-2-211-12-2-2-1-1-12-1-12-21111111-2-21111-1-122-1-1-1-10022000-220-200000-1-1110000001-100
χ362222-1222-12-1-122-1-2-2-1-1-1-2-211-12-2-2-1-1-12-1-12-21111111-2-21111-1-122-1-1-1-100-2-20002-2020000011-1-1000000-1100
χ372-2-2222-22-2-22-22-22002-2-20000-2-200-2-22222000000000000000000000002-22-2000000002-2002-2000002-200000
χ382-2-2222-22-2-22-22-22002-2-20000-2-200-2-22222000000000000000000000002-2-22000000002-200-2200000-2200000
χ392-2-2222-22-2-22-22-22002-2-20000-2-200-2-2222200000000000000000000000-222-200000000-22002-200000-2200000
χ402-2-2222-22-2-22-22-22002-2-20000-2-200-2-2222200000000000000000000000-22-2200000000-2200-22000002-200000
χ4144444-2-4-44-244-2-2-24-4-2-2-20044-422222-42220-2-4-2-2220000000000000000000000000000000000000000000000
χ4244444-2-4-44-244-2-2-2-44-2-2-200-4-4-42-2-222-422202422-2-20000000000000000000000000000000000000000000000
χ434444-24-4-4-24-2-244-24-4-2-2-200-2-22-4-4-4222-422042-2-2220000000000000000000000000000000000000000000000
χ444444-24-4-4-24-2-244-2-44-2-2-200222-444222-4220-4-222-2-20000000000000000000000000000000000000000000000
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
χ474444-2-244-2-2-2-2-2-21-4-41114422-2-22211-2-211-422-1-1-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-4-422-2-22211-2-211422-1-1-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000
χ494444-2-2-4-4-2-2-2-2-2-214-411100-2-22222-1-122-1-10-2211-1-100003i3i−3i−3i00003i3i−3i−3i000000000000000000000000000000
χ504444-2-2-4-4-2-2-2-2-2-214-411100-2-22222-1-122-1-10-2211-1-10000−3i−3i3i3i0000−3i−3i3i3i000000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-21-44111002222-2-2-1-122-1-102-2-1-11100003i3i−3i−3i0000−3i−3i3i3i000000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-21-44111002222-2-2-1-122-1-102-2-1-1110000−3i−3i3i3i00003i3i−3i−3i000000000000000000000000000000
χ5344-4-4440044-4-4-4-4400-44-4−2i22i20000000000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000
χ5444-4-4440044-4-4-4-4400-44-42i2−2i200000000000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000
χ5544-4-44-2004-2-4-422-2002-22−2i22i2000023−230000000000023−23−2i22i2i2−i2i2−i2i2−i200i6−i6i6−i6i6−i6000000000000000000000000000000
χ5644-4-44-2004-2-4-422-2002-22−2i22i20000−232300000000000−2323−2i22i2i2−i2i2−i2i2−i200−i6i6−i6i6−i6i6000000000000000000000000000000
χ5744-4-44-2004-2-4-422-2002-222i2−2i2000023−230000000000023−232i2−2i2−i2i2−i2i2−i2i200−i6i6−i6i6−i6i6000000000000000000000000000000
χ5844-4-44-2004-2-4-422-2002-222i2−2i20000−232300000000000−23232i2−2i2−i2i2−i2i2−i2i200i6−i6i6−i6i6−i6000000000000000000000000000000
χ5944-4-4-2400-2422-4-4-2002-22−2i22i2−2i32i30000000000000−2i32i300i2−i2−2i22i2i2−i2i2−i26−6006−6−66000000000000000000000000000000
χ6044-4-4-2400-2422-4-4-2002-22−2i22i22i3−2i300000000000002i3−2i300i2−i2−2i22i2i2−i2i2−i2−6600−666−6000000000000000000000000000000
χ6144-4-4-2400-2422-4-4-2002-222i2−2i2−2i32i30000000000000−2i32i300−i2i22i2−2i2−i2i2−i2i2−6600−666−6000000000000000000000000000000
χ6244-4-4-2400-2422-4-4-2002-222i2−2i22i3−2i300000000000002i3−2i300−i2i22i2−2i2−i2i2−i2i26−6006−6−66000000000000000000000000000000
χ6344-4-4-2-200-2-22222100-11-1−2i22i2−2i32i30023−233i−3i003i−3i000i3−i3−33i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000
χ6444-4-4-2-200-2-22222100-11-1−2i22i2−2i32i300−2323−3i3i00−3i3i000i3−i33−3i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ236−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ6544-4-4-2-200-2-22222100-11-1−2i22i22i3−2i30023−23−3i3i00−3i3i000−i3i3−33i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ6644-4-4-2-200-2-22222100-11-1−2i22i22i3−2i300−23233i−3i003i−3i000−i3i33−3i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000
χ6744-4-4-2-200-2-22222100-11-12i2−2i2−2i32i30023−233i−3i003i−3i000i3−i3−33−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000
χ6844-4-4-2-200-2-22222100-11-12i2−2i2−2i32i300−2323−3i3i00−3i3i000i3−i33−3−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ6944-4-4-2-200-2-22222100-11-12i2−2i22i3−2i30023−23−3i3i00−3i3i000−i3i3−33−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ236−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ7044-4-4-2-200-2-22222100-11-12i2−2i22i3−2i300−23233i−3i003i−3i000−i3i33−3−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000
χ714-44-44400-4-4-44-44400-4-44000000000000000000000000000000000000000004-4000000000000000000000000
χ724-44-44400-4-4-44-44400-4-4400000000000000000000000000000000000000000-44000000000000000000000000
χ734-4-44444-4-4-44-44-44004-4-40000440044-4-4-4-400000000000000000000000000000000000000000000000000000
χ744-4-444-24-4-424-4-22-200-22200004-200-2-2-4222000000000000000000000000000000000000023−2300000000000000
χ754-4-444-24-4-424-4-22-200-22200004-200-2-2-42220000000000000000000000000000000000000−232300000000000000
χ764-4-444-2-44-424-4-22-200-2220000-4200224-2-2-2000000000000000000000004-40000000000-220000000000000000
χ774-4-444-2-44-424-4-22-200-2220000-4200224-2-2-200000000000000000000000-4400000000002-20000000000000000
χ784-4-44-244-42-4-224-4-200-2220000-2400-2-22-4220000000000000000000000000000000000000000023−230000000000
χ794-4-44-244-42-4-224-4-200-2220000-2400-2-22-42200000000000000000000000000000000000000000−23230000000000
χ804-4-44-24-442-4-224-4-200-22200002-40022-24-2-200000000000000000000000004-4000000000000-22000000000000
χ814-4-44-24-442-4-224-4-200-22200002-40022-24-2-20000000000000000000000000-440000000000002-2000000000000
χ828-88-88-400-84-884-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-48004-84-4-88-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400444-44-4200-2-22000000006i−6i00−6i6i00000000000000000000000000000000000000000000000000000
χ858-88-8-4-400444-44-4200-2-2200000000−6i6i006i−6i00000000000000000000000000000000000000000000000000000
χ868-8-88-4-48-844-44-442002-2-20000-4-4002244-2-200000000000000000000000000000000000000000000000000000
χ878-8-88-4-4-8844-44-442002-2-200004400-2-2-4-42200000000000000000000000000000000000000000000000000000

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