Finite Group Databasebeta

← Group #11895254

Character table — Group #11895254

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order122233444466666622346666666121212121212121212121212444446666661212121212121212121212121212448888121212128888444412121212121224242424448812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ51111111111111111-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1
χ61111111111111111-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11
χ81111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1
χ9111111-1-111111111111-1111111111-1-1-1-11-1-1-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-111-1-111-1-111111-11-11-111-1-111-1-111-1-11-1-1
χ10111111-1-111111111111-1111111111-1-1-1-11-1-1-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-111-11-111-1-1-1-111-1-111-111
χ11111111-1-111111111111-1111111111-1-1-1-11-1-1-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11-1-11-11-1-11111-1-1-1-1111-11
χ12111111-1-111111111111-1111111111-1-1-1-11-1-1-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1111111-11-11-11-1-111-1-11111-1-1-11-1
χ13111111-1-111111111-1-11-1-1-1-1-111111-1-1-1-11-1-1-1-1111-1-11-1-1-1-1-1-1-11111-111-1-111111-111-1-111-1-11111-11-111-1-1-11111-1-1-1-1-1-1-111
χ14111111-1-111111111-1-11-1-1-1-1-111111-1-1-1-11-1-1-1-1111-1-11-1-1-1-1-1-1-11111-111-1-111111-1-1-11111-1-1-1-1-1-11-1-111-1-1-111-1-11111111-1-1
χ15111111-1-111111111-1-11-1-1-1-1-111111-1-1-1-11-1-1-1-11-1-1111-1-1-1-1-1-1-11111-111-1-11111-1111-1-1-1-111-1-1-1-1-111-1-1111-1-111-1-11111-11-1
χ16111111-1-111111111-1-11-1-1-1-1-111111-1-1-1-11-1-1-1-11-1-1111-1-1-1-1-1-1-11111-111-1-11111-11-1-111-1-11111111-11-1-1111-1-1-1-111-1-1-1-11-11
χ1722222222-2-2222222002-20000222-2-22222-22222-222220000000-20000-2-2-2-2-20000-2-20000222200000000-2-2000000000000000
χ1822222222-2-2222222002-20000222-2-22222-22222-2-2-2-2-20000000-20000-2-2-2-2-20000220000-2-2-2-20000000022000000000000000
χ19222222-2-2-2-222222200220000222-2-2-2-2-2-2-2-2-2-2-2-222-2-20000000200002-2-2220000-22000022-2-200000000-22000000000000000
χ20222222-2-2-2-222222200220000222-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000000200002-2-22200002-20000-2-222000000002-2000000000000000
χ2122222-122222-12-12-122-12-1-1-1-1-1-1-1-1-122-1-12-1-1-1-122222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-100000022-1-1-1-1-1-100000000000
χ2222222-122222-12-12-122-12-1-1-1-1-1-1-1-1-122-1-12-1-1-1-12-2-2-2-2222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-2-200001111000000-2-211111100000000000
χ2322222-122222-12-12-1-2-2-121111-1-1-1-1-122-1-12-1-1-1-122222-2-2-211112-2-211-1-1-1-1-11111220000-1-1-1-1000000-2-2-1-1111100000000000
χ2422222-122222-12-12-1-2-2-121111-1-1-1-1-122-1-12-1-1-1-12-2-2-2-2-2-2-211112-2-211-1-1-1-1-11111-2-2000011110000002211-1-1-1-100000000000
χ2522222-122-2-22-12-12-100-1-2−i3−i3i3i3-1-1-11122-1-1-2-1-1-1-1-22222000−i3−i3i3i3-200−i3i311111−i3−i3i3i3-2-20000-1-1-1-10000000011−i3i3−i3i300000000000
χ2622222-122-2-22-12-12-100-1-2−i3−i3i3i3-1-1-11122-1-1-2-1-1-1-1-2-2-2-2-2000−i3−i3i3i3-200−i3i311111−i3−i3i3i3220000111100000000-1-1i3−i3i3−i300000000000
χ2722222-122-2-22-12-12-100-1-2i3i3−i3−i3-1-1-11122-1-1-2-1-1-1-1-22222000i3i3−i3−i3-200i3−i311111i3i3−i3−i3-2-20000-1-1-1-10000000011i3−i3i3−i300000000000
χ2822222-122-2-22-12-12-100-1-2i3i3−i3−i3-1-1-11122-1-1-2-1-1-1-1-2-2-2-2-2000i3i3−i3−i3-200i3−i311111i3i3−i3−i3220000111100000000-1-1−i3i3−i3i300000000000
χ2922222-1-2-2222-12-12-122-1-2-1-1-1-1-1-1-1-1-1-2-21121111222-2-2-222-1-1-1-1-2-2-2111-1-11111112-20000-1-1110000002-2-11-1-11100000000000
χ3022222-1-2-2222-12-12-122-1-2-1-1-1-1-1-1-1-1-1-2-211211112-2-222-222-1-1-1-1-2-2-2111-1-1111111-22000011-1-1000000-221-111-1-100000000000
χ3122222-1-2-2222-12-12-1-2-2-1-21111-1-1-1-1-1-2-21121111222-2-22-2-21111-222-1-11-1-111-1-1-1-12-20000-1-111000000-22-1111-1-100000000000
χ3222222-1-2-2222-12-12-1-2-2-1-21111-1-1-1-1-1-2-211211112-2-2222-2-21111-222-1-11-1-111-1-1-1-1-22000011-1-10000002-21-1-1-11100000000000
χ3322222-1-2-2-2-22-12-12-100-12−i3−i3i3i3-1-1-111-2-211-21111-222-2-2000−i3−i3i3i3200i3−i3-111-1-1i3i3−i3−i3-220000-1-111000000001-1−i3i3i3−i300000000000
χ3422222-1-2-2-2-22-12-12-100-12−i3−i3i3i3-1-1-111-2-211-21111-2-2-222000−i3−i3i3i3200i3−i3-111-1-1i3i3−i3−i32-2000011-1-100000000-11i3−i3−i3i300000000000
χ3522222-1-2-2-2-22-12-12-100-12i3i3−i3−i3-1-1-111-2-211-21111-222-2-2000i3i3−i3−i3200−i3i3-111-1-1−i3−i3i3i3-220000-1-111000000001-1i3−i3−i3i300000000000
χ3622222-1-2-2-2-22-12-12-100-12i3i3−i3−i3-1-1-111-2-211-21111-2-2-222000i3i3−i3−i3200−i3i3-111-1-1−i3−i3i3i32-2000011-1-100000000-11−i3i3i3−i300000000000
χ372222-122222-12-12-1222-122222-1-1-122-1-122-1-1-1-1-1-100002-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1002222000000002200000000-1-1-1-10000-1-10
χ382222-122222-12-12-1222-122222-1-1-122-1-122-1-1-1-1-1-100002-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-100-2-2-2-200000000-2-20000000011110000110
χ392222-122222-12-12-12-2-2-12-2-2-2-2-1-1-122-1-122-1-1-1-1-1-10000-2111111-111-2-22-1-1-1-1111100222200000000-2-200000000-1-1-1-10000110
χ402222-122222-12-12-12-2-2-12-2-2-2-2-1-1-122-1-122-1-1-1-1-1-10000-2111111-111-2-22-1-1-1-1111100-2-2-2-200000000220000000011110000-1-10
χ412222-12-2-222-12-12-1222-1-22222-1-1-12211-2-2-11111-10000-2-1-1-1-1-1-1111-2-2-2-1-11111110022-2-2000000002-200000000-1-1110000-110
χ422222-12-2-222-12-12-1222-1-22222-1-1-12211-2-2-11111-10000-2-1-1-1-1-1-1111-2-2-2-1-111111100-2-22200000000-220000000011-1-100001-10
χ432222-12-2-222-12-12-12-2-2-1-2-2-2-2-2-1-1-12211-2-2-11111-1000021111111-1-122-2-1-111-1-1-1-10022-2-200000000-2200000000-1-11100001-10
χ442222-12-2-222-12-12-12-2-2-1-2-2-2-2-2-1-1-12211-2-2-11111-1000021111111-1-122-2-1-111-1-1-1-100-2-222000000002-20000000011-1-10000-110
χ4522-2-22200-22-22-2-22-22-2202-22-22-2-22-20000-200002000002-22-22-20000002-200000000000000002i2i−2i−2i000000000000002i−2i00000
χ4622-2-22200-22-22-2-22-22-2202-22-22-2-22-20000-200002000002-22-22-20000002-20000000000000000−2i−2i2i2i00000000000000−2i2i00000
χ4722-2-22200-22-22-2-22-2-2220-22-222-2-22-20000-20000200000-22-22-220000002-200000000000000002i2i−2i−2i00000000000000−2i2i00000
χ4822-2-22200-22-22-2-22-2-2220-22-222-2-22-20000-20000200000-22-22-220000002-20000000000000000−2i−2i2i2i000000000000002i−2i00000
χ492-2-22222-200-2-222-2-200200000-2-22002-22-2022-2-202i−2i2i−2i00000000000000000000000−i2i2−i2i22i−2i2i−2i2−22−20000000000−i2i2−i2i2002−2000
χ502-2-22222-200-2-222-2-200200000-2-22002-22-2022-2-202i−2i2i−2i00000000000000000000000i2−i2i2−i22i−2i2i−2i−22−220000000000i2−i2i2−i200−22000
χ512-2-22222-200-2-222-2-200200000-2-22002-22-2022-2-20−2i2i−2i2i00000000000000000000000−i2i2−i2i2−2i2i−2i2i−22−220000000000−i2i2−i2i200−22000
χ522-2-22222-200-2-222-2-200200000-2-22002-22-2022-2-20−2i2i−2i2i00000000000000000000000i2−i2i2−i2−2i2i−2i2i2−22−20000000000i2−i2i2−i2002−2000
χ532-2-2222-2200-2-222-2-200200000-2-2200-22-220-2-22202i−2i−2i2i00000000000000000000000−i2i2i2−i22i−2i−2i2i2−22−20000000000−i2i2i2−i200−22000
χ542-2-2222-2200-2-222-2-200200000-2-2200-22-220-2-22202i−2i−2i2i00000000000000000000000i2−i2−i2i22i−2i−2i2i−22−220000000000i2−i2−i2i2002−2000
χ552-2-2222-2200-2-222-2-200200000-2-2200-22-220-2-2220−2i2i2i−2i00000000000000000000000−i2i2i2−i2−2i2i2i−2i−22−220000000000−i2i2i2−i2002−2000
χ562-2-2222-2200-2-222-2-200200000-2-2200-22-220-2-2220−2i2i2i−2i00000000000000000000000i2−i2−i2i2−2i2i2i−2i2−22−20000000000i2−i2−i2i200−22000
χ574444-2444-4-4-24-24-2400-2-40000-2-2-2-4-4-2-2442-2-2-2-220000000000020000-42222000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-24-2400-240000-2-2-2-4-422-4-422222200000000000-20000422-2-2000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-24414-2-2-2-2111-2-2-2-2-2-2-21111-200004-2-21111-2-2-2-2-2-21111111100000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-2-4-4142222111-2-2-2-2-2-2-21111-20000-422-1-1-1-1-22222-21111-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2001-4−2i3−2i32i32i311122-2-2-2-22111120000000i3i3−i3−i3200−2i32i32-1-1-1-1i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2001-42i32i3−2i3−2i311122-2-2-2-22111120000000−i3−i3i3i32002i3−2i32-1-1-1-1−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-2441-4-2-2-2-2111-2-22222-2-1-1-1-1-20000-4-2-2111122222211-1-1-1-1-1-100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-2-4-41-42222111-2-22222-2-1-1-1-1-20000422-1-1-1-12-2-2-2-2211-1-1111100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-20014−2i3−2i32i32i31112222222-1-1-1-120000000i3i3−i3−i3-2002i3−2i3-2-1-111−i3−i3i3i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-200142i32i3−2i3−2i31112222222-1-1-1-120000000−i3−i3i3i3-200−2i32i3-2-1-111i3i3−i3−i300000000000000000000000000000000000
χ6744-4-444004-4-44-4-44-4004000004-4-4-44000040000-400000000000000000-4400000000000000000000000000000000000000000
χ6844-4-44-2004-4-4-2-424200-20−2i32i32i3−2i3-2222-2000040000-40000000−2i32i32i3−2i30000002-200000000000000000000000000000000000000000
χ6944-4-44-2004-4-4-2-424200-202i3−2i3−2i32i3-2222-2000040000-400000002i3−2i3−2i32i30000002-200000000000000000000000000000000000000000
χ7044-4-44-200-44-4-2-42424-4-20-22-22-222-220000-400004000004-4-22-22000000-2200000000000000000000000000000000000000000
χ7144-4-44-200-44-4-2-4242-44-202-22-2-222-220000-40000400000-442-22-2000000-2200000000000000000000000000000000000000000
χ7244-4-4-24004-4242-4-2-400-200000-222-440000-20000200000000000023−230002-20023−2323−2300000000000000000000000000000000000
χ7344-4-4-24004-4242-4-2-400-200000-222-440000-200002000000000000−23230002-200−2323−232300000000000000000000000000000000000
χ7444-4-4-2400-44242-4-2-44-4-204-44-4-2224-4000020000-200000-22-22-22000000-2200000000000000000000000000000000000000000
χ7544-4-4-2400-44242-4-2-4-44-20-44-44-2224-4000020000-2000002-22-22-2000000-2200000000000000000000000000000000000000000
χ7644-4-4-2-2004-42-222-220010−2i32i32i3−2i31-1-12-20000-23i−3i3i−3i20000000i3−i3−i3i3023−23000-113i−3i−33−3300000000000000000000000000000000000
χ7744-4-4-2-2004-42-222-220010−2i32i32i3−2i31-1-12-20000-2−3i3i−3i3i20000000i3−i3−i3i30−2323000-11−3i3i3−33−300000000000000000000000000000000000
χ7844-4-4-2-2004-42-222-2200102i3−2i3−2i32i31-1-12-20000-23i−3i3i−3i20000000−i3i3i3−i30−2323000-113i−3i3−33−300000000000000000000000000000000000
χ7944-4-4-2-2004-42-222-2200102i3−2i3−2i32i31-1-12-20000-2−3i3i−3i3i20000000−i3i3i3−i3023−23000-11−3i3i−33−3300000000000000000000000000000000000
χ8044-4-4-2-200-442-222-224-410-22-221-1-1-22000023i−3i3i−3i-200000-221-11-10000001-1−3i3i−3i3i3i−3i00000000000000000000000000000000000
χ8144-4-4-2-200-442-222-224-410-22-221-1-1-2200002−3i3i−3i3i-200000-221-11-10000001-13i−3i3i−3i−3i3i00000000000000000000000000000000000
χ8244-4-4-2-200-442-222-22-44102-22-21-1-1-22000023i−3i3i−3i-2000002-2-11-110000001-1−3i3i3i−3i−3i3i00000000000000000000000000000000000
χ8344-4-4-2-200-442-222-22-44102-22-21-1-1-2200002−3i3i−3i3i-2000002-2-11-110000001-13i−3i−3i3i3i−3i00000000000000000000000000000000000
χ844-44-44400004-4-4-4-4400400000-44-400000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ854-44-44400004-4-4-4-4400400000-44-4000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ864-4-444-24-400-424-2-4200-20000022-2004-4-220-2-22204i−4i4i−4i000000000000000000000000000−2i2i−2i2i0000000000000000000000000
χ874-4-444-24-400-424-2-4200-20000022-2004-4-220-2-2220−4i4i−4i4i0000000000000000000000000002i−2i2i−2i0000000000000000000000000
χ884-4-444-2-4400-424-2-4200-20000022-200-442-2022-2-204i−4i−4i4i000000000000000000000000000−2i2i2i−2i0000000000000000000000000
χ894-4-444-2-4400-424-2-4200-20000022-200-442-2022-2-20−4i4i4i−4i0000000000000000000000000002i−2i−2i2i0000000000000000000000000
χ904-4-44-244-4002-4-242-400-20000022-200-224-40-2-2220000000000000000000000000000−2i22i2−2i22i2000000000000000000i2−i2i2−i20000000
χ914-4-44-244-4002-4-242-400-20000022-200-224-40-2-22200000000000000000000000000002i2−2i22i2−2i2000000000000000000−i2i2−i2i20000000
χ924-4-44-24-44002-4-242-400-20000022-2002-2-44022-2-20000000000000000000000000000−2i22i22i2−2i2000000000000000000i2−i2−i2i20000000
χ934-4-44-24-44002-4-242-400-20000022-2002-2-44022-2-200000000000000000000000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i20000000
χ948-88-88-4000084-84-8-400-4000004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-480000-4-84-84800-4000004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-40000-44444-400200000-22-200000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-40000-44444-400200000-22-20000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-48-80044-4-44400200000-2-2200-44-44022-2-20000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-880044-4-44400200000-2-22004-44-40-2-2220000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).