Finite Group Databasebeta

← Group #11878863

Character table — Group #11878863

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444444444888888888888888888888818181818181824242424242424242424242424242424363636363648484848
order12222233446666663466666668888121212121212121266121212122424242424242424242424242424242444444422224444666666664888812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11-11-11111-1-1-1-1-1-1-1-1-11-11-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-11-11-1-1-1-11111-1-1-1-1-1-11-11
χ51111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111
χ71111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111111-1-1-1-1-11111-11-11
χ81111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-11111-111111-11-1
χ91111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111-11-111-1-111-1-111-1-1-111-1-1-1-111
χ101111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-11-11-1-111-1-111-1-111-111-1-111-1-1
χ111111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1111-1-1-1-1111-1-111-111-1
χ121111-1-111111111111-1-1-1-1-111111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-11111-1-11-1-1111-1-11
χ131111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-11-1-1-11111-1-111-1-1-1-1-11111-1-1
χ141111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-11-1111-1-1-1-111-1-111-1-1-111-1-111
χ151111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11-1-11-111-111-1-1-1-111111-1-11-1-11
χ161111-1-111111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-111-11-1-11-1-11111-1-1111-1-1-111-1
χ1722222222-2-22222222-222222220000-2-2-2-2-2-2-2-222-2-2-2-200000000000000002222-2-20000000000000000-200000000
χ1822222222-2-22222222-222222220000-2-2-2-2-2-2-2-222-2-2-2-20000000000000000-2-2-2-2220000000000000000200000000
χ192222222-1222-12-12-1-1222-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000002202020000-1-1-1-1000000-10-1
χ202222222-1222-12-12-1-1222-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000-2-20-20-200001111000000101
χ212222222-1222-12-12-1-1222-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-211111100000000220-20-20000-1-1-1-1000000101
χ222222222-1222-12-12-1-1222-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-2-2111111-2-211111100000000-2-2020200001111000000-10-1
χ23222222-1222-12-12-12-12-1-122-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-100000022002020-1-1-1-1000000000-10-10
χ24222222-1222-12-12-12-12-1-122-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-2-200-20-2011110000000001010
χ25222222-1222-12-12-12-12-1-122-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-111-2-2111111-2-211110000002200-20-20-1-1-1-10000000001010
χ26222222-1222-12-12-12-12-1-122-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-111-2-2111111-2-21111000000-2-20020201111000000000-10-10
χ272222-2-222-2-222222222-2-2-2-22220000-2-2-2-2-2-2-2-2-2-22222000000000000000022-2-2-2-20000000000000000200000000
χ282222-2-222-2-222222222-2-2-2-22220000-2-2-2-2-2-2-2-2-2-222220000000000000000-2-222220000000000000000-200000000
χ292222-2-22-1222-12-12-1-1-2-2-211-1-1-122-2-222-1-1-1-1-1-111-211122-1-1-1-1-1-1-2-2111111000000002-2020-20000-1-11100000010-1
χ302222-2-22-1222-12-12-1-1-2-2-211-1-1-122-2-222-1-1-1-1-1-111-211122-1-1-1-1-1-1-2-211111100000000-220-202000011-1-1000000-101
χ312222-2-22-1222-12-12-1-1-2-2-211-1-1-1-2-22222-1-1-1-1-1-111-2111-2-211111122-1-1-1-1-1-1000000002-20-2020000-1-111000000-101
χ322222-2-22-1222-12-12-1-1-2-2-211-1-1-1-2-22222-1-1-1-1-1-111-2111-2-211111122-1-1-1-1-1-100000000-22020-2000011-1-100000010-1
χ332222-2-2-1222-12-12-12-1-211-2-2-1-1-122-2-2-1-122-1-1-1-1111-211-1-122-1-1-1-111-2-211110000002-20020-20-1-11100000000010-10
χ342222-2-2-1222-12-12-12-1-211-2-2-1-1-122-2-2-1-122-1-1-1-1111-211-1-122-1-1-1-111-2-21111000000-2200-202011-1-1000000000-1010
χ352222-2-2-1222-12-12-12-1-211-2-2-1-1-1-2-222-1-122-1-1-1-1111-21111-2-21111-1-122-1-1-1-10000002-200-2020-1-111000000000-1010
χ362222-2-2-1222-12-12-12-1-211-2-2-1-1-1-2-222-1-122-1-1-1-1111-21111-2-21111-1-122-1-1-1-1000000-220020-2011-1-100000000010-10
χ372-22-22-2220022-2-2-2-2202-22-22-2-2−i2i2−i2i2000000002-20000−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i22-22-20000000000000000000−i2i2−i2i20000
χ382-22-22-2220022-2-2-2-2202-22-22-2-2−i2i2−i2i2000000002-20000−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i2-22-220000000000000000000i2−i2i2−i20000
χ392-22-22-2220022-2-2-2-2202-22-22-2-2i2−i2i2−i2000000002-20000i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i22-22-20000000000000000000i2−i2i2−i20000
χ402-22-22-2220022-2-2-2-2202-22-22-2-2i2−i2i2−i2000000002-20000i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i2-22-220000000000000000000−i2i2−i2i20000
χ412-22-2-22220022-2-2-2-220-22-222-2-2−i2i2i2−i200000000-220000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i22-2-220000000000000000000−i2i2i2−i20000
χ422-22-2-22220022-2-2-2-220-22-222-2-2−i2i2i2−i200000000-220000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i2-222-20000000000000000000i2−i2−i2i20000
χ432-22-2-22220022-2-2-2-220-22-222-2-2i2−i2−i2i200000000-220000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i22-2-220000000000000000000i2−i2−i2i20000
χ442-22-2-22220022-2-2-2-220-22-222-2-2i2−i2−i2i200000000-220000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i2-222-20000000000000000000−i2i2i2−i20000
χ454444444-2-4-44-24-24-2-2-444-2-2-2-2-20000-4-4222222-2-2-422200000000000000000000000000000000000000000000000
χ46444444-24-4-4-24-24-24-2-4-2-244-2-2-2000022-4-42222-2-22-42200000000000000000000000000000000000000000000000
χ47444444-2-244-2-2-2-2-2-214-2-2-2-21114444-2-2-2-2111111-2-211-2-2-2-21111-2-2-2-211110000000000000000000000000000000
χ48444444-2-244-2-2-2-2-2-214-2-2-2-2111-4-4-4-4-2-2-2-2111111-2-2112222-1-1-1-12222-1-1-1-10000000000000000000000000000000
χ49444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211100002222-1-1-1-11122-1-100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000
χ50444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211100002222-1-1-1-11122-1-10000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000
χ514444-4-44-2-4-44-24-24-2-24-4-422-2-2-20000-4-4222222224-2-2-200000000000000000000000000000000000000000000000
χ524444-4-4-24-4-4-24-24-24-2422-4-4-2-2-2000022-4-4222222-24-2-200000000000000000000000000000000000000000000000
χ534444-4-4-2-244-2-2-2-2-2-21-4222211144-4-4-2-2-2-21111-1-122-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000000
χ544444-4-4-2-244-2-2-2-2-2-21-42222111-4-444-2-2-2-21111-1-122-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000000
χ554444-4-4-2-2-4-4-2-2-2-2-2-214222211100002222-1-1-1-1-1-1-2-21100003i−3i3i−3i0000−3i3i−3i3i0000000000000000000000000000000
χ564444-4-4-2-2-4-4-2-2-2-2-2-214222211100002222-1-1-1-1-1-1-2-2110000−3i3i−3i3i00003i−3i3i−3i0000000000000000000000000000000
χ5744-4-400444-4-4-4-4-444400000-4-4400004-44-444-4-400000000000000000000000000000000000000000000000000000
χ5844-4-40044-44-4-4-4-444400000-4-440000-44-44-4-44400000000000000000000000000000000000000000000000000000
χ5944-4-4004-24-4-42-424-2-20000022-200004-4-22-2-2220000000000000000000000000000000000000000−2i32i300000000000
χ6044-4-4004-24-4-42-424-2-20000022-200004-4-22-2-22200000000000000000000000000000000000000002i3−2i300000000000
χ6144-4-4004-2-44-42-424-2-20000022-20000-442-222-2-2000000000000000000000000000000000000000000−2i32i3000000000
χ6244-4-4004-2-44-42-424-2-20000022-20000-442-222-2-20000000000000000000000000000000000000000002i3−2i3000000000
χ6344-4-400-244-42-42-4-24-20000022-20000-224-4-2-222000000000000000000000000000000000000−2i32i3000000000000000
χ6444-4-400-244-42-42-4-24-20000022-20000-224-4-2-2220000000000000000000000000000000000002i3−2i3000000000000000
χ6544-4-400-24-442-42-4-24-20000022-200002-2-4422-2-200000000000000000000000000000000000000−2i32i30000000000000
χ6644-4-400-24-442-42-4-24-20000022-200002-2-4422-2-2000000000000000000000000000000000000002i3−2i30000000000000
χ674-44-44-44-2004-2-42-42-204-4-22-222−2i22i2−2i22i200000000-220000−2i22i2i2−i2i2i2−i2−i2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000
χ684-44-44-44-2004-2-42-42-204-4-22-2222i2−2i22i2−2i200000000-2200002i2−2i2−i2i2−i2−i2i2i22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000
χ694-44-44-4-2400-242-42-4-20-224-4-222−2i22i2−2i22i200000000-220000i2−i2−2i22i2i2i2−i2−i2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000
χ704-44-44-4-2400-242-42-4-20-224-4-2222i2−2i22i2−2i200000000-220000−i2i22i2−2i2−i2−i2i2i2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000
χ714-44-44-4-2-200-2-2222210-22-221-1-1−2i22i2−2i22i200003i−3i3i−3i1-1003i−3ii2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000000000
χ724-44-44-4-2-200-2-2222210-22-221-1-1−2i22i2−2i22i20000−3i3i−3i3i1-100−3i3ii2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000000
χ734-44-44-4-2-200-2-2222210-22-221-1-12i2−2i22i2−2i200003i−3i3i−3i1-1003i−3i−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000000000
χ744-44-44-4-2-200-2-2222210-22-221-1-12i2−2i22i2−2i20000−3i3i−3i3i1-100−3i3i−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000000000
χ754-44-4-444-2004-2-42-42-20-442-2-222−2i22i22i2−2i2000000002-20000−2i22i2i2−i2i2i2−i2−i22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000000000
χ764-44-4-444-2004-2-42-42-20-442-2-2222i2−2i2−2i22i2000000002-200002i2−2i2−i2i2−i2−i2i2i2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000000000
χ774-44-4-44-2400-242-42-4-202-2-44-222−2i22i22i2−2i2000000002-20000i2−i2−2i22i2i2i2−i2−i2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000000000
χ784-44-4-44-2400-242-42-4-202-2-44-2222i2−2i2−2i22i2000000002-20000−i2i22i2−2i2−i2−i2i2i2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000000000
χ794-44-4-44-2-200-2-22222102-22-21-1-1−2i22i22i2−2i200003i−3i3i−3i-1100−3i3ii2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000000000
χ804-44-4-44-2-200-2-22222102-22-21-1-1−2i22i22i2−2i20000−3i3i−3i3i-11003i−3ii2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000000000
χ814-44-4-44-2-200-2-22222102-22-21-1-12i2−2i2−2i22i200003i−3i3i−3i-1100−3i3i−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000000000
χ824-44-4-44-2-200-2-22222102-22-21-1-12i2−2i2−2i22i20000−3i3i−3i3i-11003i−3i−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000000
χ834-4-44004400-4-444-4-4400000-44-4000000000000000000000000000000000000004-40000000000000000000000000
χ844-4-44004400-4-444-4-4400000-44-400000000000000000000000000000000000000-440000000000000000000000000
χ8588-8-800-4-48-84444-4-4200000-2-220000-44-4422-2-200000000000000000000000000000000000000000000000000000
χ8688-8-800-4-4-884444-4-4200000-2-2200004-44-4-2-22200000000000000000000000000000000000000000000000000000
χ878-8-88008-400-848-4-84-4000004-4400000000000000000000000000000000000000000000000000000000000000000
χ888-8-8800-48004-8-484-8-4000004-4400000000000000000000000000000000000000000000000000000000000000000
χ898-8-8800-4-40044-4-444200000-22-2000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000
χ908-8-8800-4-40044-4-444200000-22-200000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000

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