Finite Group Databasebeta

← Group #11887401

Character table — Group #11887401

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order1222334444666666223466666661212121212121212121212122244466666612121212121212121212121212122466888812128888244466612121224242424448812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-111-1
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
χ51111111111111111-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111111111111111-1-1-1-11-1-11-1-11111-1-111-1-1-1
χ61111111111111111-1-111-1-1-1-11111111111111111111-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-11-111-1-11-1-1-1-1-1-111-1-1111
χ71111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11-1-111-111111111-1-1-1-11
χ81111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-1-1-11111-1
χ9111111-1-111111111111-111111111-1-1-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-111111-1-11-1111-1-111-1-111-1-1-11-1
χ10111111-1-111111111111-111111111-1-1-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-1-1111-1-1-1-111-1-1111-11
χ11111111-1-111111111111-111111111-1-1-1-111-1-1-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-111-111
χ12111111-1-111111111111-111111111-1-1-1-111-1-1-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-111111111-111-11-1-1-111-1-11111-1-11-1-1
χ13111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-11-1-1-1-1-1-1-111-11111-1-11111-111111-1-1-1-11111-111-1-1-1-111111-1-1-1-1-1-11-11
χ14111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-11-1-1-1-1-1-1-111-11111-1-11111-1111-1-111-1-1-1-1-1-1-1-111-1-1-1111-1-1111111-11-1
χ15111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-1111-1-1-1-1-1-1-111-11111-1-111111-1-1-111-1-111-1-1-1-111-1-1111-1-1-111-1-111111-1-1
χ16111111-1-111111111-1-11-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-1111-1-1-1-1-1-1-111-11111-1-111111-1-1-1-1-1111111111-1-11111-1-1-1-1-111-1-1-1-1-111
χ1722222222-2-2222222002-20000222-22222-2-22222-222220000000-200-200-2-2-2-20000-2-22200002200000000-200-20000000000000
χ1822222222-2-2222222002-20000222-22222-2-22222-2-2-2-2-20000000-200-200-2-2-2-2000022-2-20000-2-20000000020020000000000000
χ19222222-2-2-2-222222200220000222-2-2-2-2-2-2-2-2-2-2-2-222-2-20000000200200-2-22200002-2220000-2-200000000200-20000000000000
χ20222222-2-2-2-222222200220000222-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000000200200-2-2220000-22-2-200002200000000-20020000000000000
χ2122222-122222-1-122-122-12-1-1-1-1-1-1-12-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-10000-1-100002020-1-1-1-1-1-100000000000
χ2222222-122222-1-122-122-12-1-1-1-1-1-1-12-1-122-1-1-1-1-1-12-2-2-2-2222-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2110000110000-20-2011111100000000000
χ2322222-122222-1-122-1-2-2-121111-1-1-12-1-122-1-1-1-1-1-122222-2-2-21111-1112-2-2-1-1-1-1111122-1-10000-1-10000-20-20-111-11100000000000
χ2422222-122222-1-122-1-2-2-121111-1-1-12-1-122-1-1-1-1-1-12-2-2-2-2-2-2-21111-1112-2-2-1-1-1-11111-2-211000011000020201-1-11-1-100000000000
χ2522222-122-2-22-1-122-100-1-2−i3−i3i3i3-1-1-1-2-1-12211-1-1-1-1-22222000−i3−i3i3i31−i3i3-2001111−i3−i3i3i3-2-2-1-10000-1-1000000001−i3i31−i3i300000000000
χ2622222-122-2-22-1-122-100-1-2−i3−i3i3i3-1-1-1-2-1-12211-1-1-1-1-2-2-2-2-2000−i3−i3i3i31−i3i3-2001111−i3−i3i3i3221100001100000000-1i3−i3-1i3−i300000000000
χ2722222-122-2-22-1-122-100-1-2i3i3−i3−i3-1-1-1-2-1-12211-1-1-1-1-22222000i3i3−i3−i31i3−i3-2001111i3i3−i3−i3-2-2-1-10000-1-1000000001i3−i31i3−i300000000000
χ2822222-122-2-22-1-122-100-1-2i3i3−i3−i3-1-1-1-2-1-12211-1-1-1-1-2-2-2-2-2000i3i3−i3−i31i3−i3-2001111i3i3−i3−i3221100001100000000-1−i3i3-1−i3i300000000000
χ2922222-1-2-2222-1-122-122-1-2-1-1-1-1-1-1-1211-2-2-1-11111222-2-2-222-1-1-1-1111-2-2-2-1-1111111-22-1-1000011000020-201-1-1-11100000000000
χ3022222-1-2-2222-1-122-122-1-2-1-1-1-1-1-1-1211-2-2-1-111112-2-222-222-1-1-1-1111-2-2-2-1-11111112-2110000-1-10000-2020-1111-1-100000000000
χ3122222-1-2-2222-1-122-1-2-2-1-21111-1-1-1211-2-2-1-11111222-2-22-2-211111-1-1-222-1-111-1-1-1-1-22-1-10000110000-2020111-1-1-100000000000
χ3222222-1-2-2222-1-122-1-2-2-1-21111-1-1-1211-2-2-1-111112-2-2222-2-211111-1-1-222-1-111-1-1-1-12-2110000-1-1000020-20-1-1-111100000000000
χ3322222-1-2-2-2-22-1-122-100-12−i3−i3i3i3-1-1-1-211-2-2111111-222-2-2000−i3−i3i3i3-1i3−i320011-1-1i3i3−i3−i32-2-1-100001100000000-1−i3i31i3−i300000000000
χ3422222-1-2-2-2-22-1-122-100-12−i3−i3i3i3-1-1-1-211-2-2111111-2-2-222000−i3−i3i3i3-1i3−i320011-1-1i3i3−i3−i3-22110000-1-1000000001i3−i3-1−i3i300000000000
χ3522222-1-2-2-2-22-1-122-100-12i3i3−i3−i3-1-1-1-211-2-2111111-222-2-2000i3i3−i3−i3-1−i3i320011-1-1−i3−i3i3i32-2-1-100001100000000-1i3−i31−i3i300000000000
χ3622222-1-2-2-2-22-1-122-100-12i3i3−i3−i3-1-1-1-211-2-2111111-2-2-222000i3i3−i3−i3-1−i3i320011-1-1−i3−i3i3i3-22110000-1-1000000001−i3i3-1i3−i300000000000
χ372222-122222-122-1-1222-122222-1-1-1-122-1-122-1-1-1-1-100002-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1000022220000000202000000-1-1-1-10000-1-10
χ382222-122222-122-1-1222-122222-1-1-1-122-1-122-1-1-1-1-100002-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000-20-200000011110000110
χ392222-122222-122-1-12-2-2-12-2-2-2-2-1-1-1-122-1-122-1-1-1-1-10000-21111112-2-2-111-1-1-1-11111000022220000000-20-2000000-1-1-1-10000110
χ402222-122222-122-1-12-2-2-12-2-2-2-2-1-1-1-122-1-122-1-1-1-1-10000-21111112-2-2-111-1-1-1-111110000-2-2-2-2000000020200000011110000-1-10
χ412222-12-2-222-122-1-1222-1-22222-1-1-1-1-2-211221111-10000-2-1-1-1-1-1-1-2-2-2111-1-1111111000022-2-20000000-202000000-1-11100001-10
χ422222-12-2-222-122-1-1222-1-22222-1-1-1-1-2-211221111-10000-2-1-1-1-1-1-1-2-2-2111-1-11111110000-2-222000000020-200000011-1-10000-110
χ432222-12-2-222-122-1-12-2-2-1-2-2-2-2-2-1-1-1-1-2-211221111-100002111111-2221-1-1-1-111-1-1-1-1000022-2-2000000020-2000000-1-1110000-110
χ442222-12-2-222-122-1-12-2-2-1-2-2-2-2-2-1-1-1-1-2-211221111-100002111111-2221-1-1-1-111-1-1-1-10000-2-2220000000-20200000011-1-100001-10
χ4522-2-2222i−2i00-22-22-2-2002000002-2-202i−2i2i−2i002i2i−2i−2i02-22i−2i000000000000000000000002-2−i2i22−22i−2i−i2−i2i2i20000000000−i2i22−2002−2000
χ4622-2-2222i−2i00-22-22-2-2002000002-2-202i−2i2i−2i002i2i−2i−2i02-22i−2i000000000000000000000002-2i2−i2−222i−2ii2i2−i2−i20000000000i2−i2−2200−22000
χ4722-2-2222i−2i00-22-22-2-2002000002-2-202i−2i2i−2i002i2i−2i−2i0-22−2i2i00000000000000000000000-22−i2i22−2−2i2ii2i2−i2−i20000000000−i2i22−200−22000
χ4822-2-2222i−2i00-22-22-2-2002000002-2-202i−2i2i−2i002i2i−2i−2i0-22−2i2i00000000000000000000000-22i2−i2−22−2i2i−i2−i2i2i20000000000i2−i2−22002−2000
χ4922-2-222−2i2i00-22-22-2-2002000002-2-20−2i2i−2i2i00−2i−2i2i2i02-2−2i2i000000000000000000000002-2−i2i2−22−2i2i−i2−i2i2i20000000000−i2i2−2200−22000
χ5022-2-222−2i2i00-22-22-2-2002000002-2-20−2i2i−2i2i00−2i−2i2i2i02-2−2i2i000000000000000000000002-2i2−i22−2−2i2ii2i2−i2−i20000000000i2−i22−2002−2000
χ5122-2-222−2i2i00-22-22-2-2002000002-2-20−2i2i−2i2i00−2i−2i2i2i0-222i−2i00000000000000000000000-22−i2i2−222i−2ii2i2−i2−i20000000000−i2i2−22002−2000
χ5222-2-222−2i2i00-22-22-2-2002000002-2-20−2i2i−2i2i00−2i−2i2i2i0-222i−2i00000000000000000000000-22i2−i22−22i−2i−i2−i2i2i20000000000i2−i22−200−22000
χ532-22-222002-22-2-2-2-222-2202-22-2-22-2200002-20000-2000002-22-22-20000002-200000000000000002i−2i2i−2i000000000000002i−2i00000
χ542-22-222002-22-2-2-2-222-2202-22-2-22-2200002-20000-2000002-22-22-20000002-20000000000000000−2i2i−2i2i00000000000000−2i2i00000
χ552-22-222002-22-2-2-2-22-2220-22-22-22-2200002-20000-200000-22-22-220000002-200000000000000002i−2i2i−2i00000000000000−2i2i00000
χ562-22-222002-22-2-2-2-22-2220-22-22-22-2200002-20000-200000-22-22-220000002-20000000000000000−2i2i−2i2i000000000000002i−2i00000
χ574444-2444-4-4-244-2-2400-2-40000-2-2-2244-2-2-4-4-2-2-2-2200000000000-4002002222000000000000000000000000000000000000000
χ584444-24-4-4-4-4-244-2-2400-240000-2-2-22-4-422-4-42222200000000000400-20022-2-2000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-2-4-4142222111-2-2-2-2-2-2-21111-20000-422-1-1-1-1-222-2221111-1-1-1-100000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2001-4−2i3−2i32i32i31112-2-2-2-222111120000000i3i3−i3−i32−2i32i3200-1-1-1-1i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2001-42i32i3−2i3−2i31112-2-2-2-222111120000000−i3−i3i3i322i3−2i3200-1-1-1-1−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-2441-4-2-2-2-2111-22222-2-2-1-1-1-1-20000-4-2-2111122222211-1-1-1-1-1-100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-2-4-41-42222111-22222-2-2-1-1-1-1-20000422-1-1-1-12-2-22-2-211-1-1111100000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-20014−2i3−2i32i32i31112222222-1-1-1-120000000i3i3−i3−i3-22i3−2i3-200-1-111−i3−i3i3i300000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-200142i32i3−2i3−2i31112222222-1-1-1-120000000−i3−i3i3i3-2−2i32i3-200-1-111i3i3−i3−i300000000000000000000000000000000000
χ6744-4-44-24i−4i00-4-224-4200-200000-2220−2i2i4i−4i00−2i−2i2i2i04-44i−4i00000000000000000000000-220000−2i2i0000000000000000000000000
χ6844-4-44-24i−4i00-4-224-4200-200000-2220−2i2i4i−4i00−2i−2i2i2i0-44−4i4i000000000000000000000002-200002i−2i0000000000000000000000000
χ6944-4-44-2−4i4i00-4-224-4200-200000-22202i−2i−4i4i002i2i−2i−2i04-4−4i4i00000000000000000000000-2200002i−2i0000000000000000000000000
χ7044-4-44-2−4i4i00-4-224-4200-200000-22202i−2i−4i4i002i2i−2i−2i0-444i−4i000000000000000000000002-20000−2i2i0000000000000000000000000
χ7144-4-4-244i−4i0024-4-22-400-200000-22204i−4i−2i2i00−2i−2i2i2i000000000000000000000000000000−2i22i222−220000000000000000i2−i2−220000000
χ7244-4-4-244i−4i0024-4-22-400-200000-22204i−4i−2i2i00−2i−2i2i2i0000000000000000000000000000002i2−2i2−22220000000000000000−i2i22−20000000
χ7344-4-4-24−4i4i0024-4-22-400-200000-2220−4i4i2i−2i002i2i−2i−2i000000000000000000000000000000−2i22i2−22220000000000000000i2−i22−20000000
χ7444-4-4-24−4i4i0024-4-22-400-200000-2220−4i4i2i−2i002i2i−2i−2i0000000000000000000000000000002i2−2i222−220000000000000000−i2i2−220000000
χ754-44-44400-444-4-4-4-4400400000-44-4-40000-440000400000000000000000-4400000000000000000000000000000000000000000
χ764-44-44-2004-4422-4-4-24-4-20-22-222-2240000-220000-4000004-4-22-22000000-2200000000000000000000000000000000000000000
χ774-44-44-2004-4422-4-4-2-44-202-22-22-2240000-220000-400000-442-22-2000000-2200000000000000000000000000000000000000000
χ784-44-44-200-44422-4-4-200-20−2i32i32i3−2i32-22-400002-2000040000000−2i32i32i3−2i30000002-200000000000000000000000000000000000000000
χ794-44-44-200-44422-4-4-200-202i3−2i3−2i32i32-22-400002-20000400000002i3−2i3−2i32i30000002-200000000000000000000000000000000000000000
χ804-44-4-24004-4-2-4-42244-4-204-44-42-22-200004-40000200000-22-22-22000000-2200000000000000000000000000000000000000000
χ814-44-4-24004-4-2-4-4224-44-20-44-442-22-200004-400002000002-22-22-2000000-2200000000000000000000000000000000000000000
χ824-44-4-2400-44-2-4-422400-2000002-2220000-440000-200000000000000023−232-20023−2323−2300000000000000000000000000000000000
χ834-44-4-2400-44-2-4-422400-2000002-2220000-440000-2000000000000000−23232-200−2323−232300000000000000000000000000000000000
χ844-44-4-2-2004-4-22222-24-410-22-22-11-1-20000-223i−3i3i−3i200000-221-11-10000001-13i−3i3i−3i−3i3i00000000000000000000000000000000000
χ854-44-4-2-2004-4-22222-24-410-22-22-11-1-20000-22−3i3i−3i3i200000-221-11-10000001-1−3i3i−3i3i3i−3i00000000000000000000000000000000000
χ864-44-4-2-2004-4-22222-2-44102-22-2-11-1-20000-223i−3i3i−3i2000002-2-11-110000001-13i−3i−3i3i3i−3i00000000000000000000000000000000000
χ874-44-4-2-2004-4-22222-2-44102-22-2-11-1-20000-22−3i3i−3i3i2000002-2-11-110000001-1−3i3i3i−3i−3i3i00000000000000000000000000000000000
χ884-44-4-2-200-44-22222-20010−2i32i32i3−2i3-11-1200002-23i−3i3i−3i-20000000i3−i3−i3i30000−2323-11−3i3i3−33−300000000000000000000000000000000000
χ894-44-4-2-200-44-22222-20010−2i32i32i3−2i3-11-1200002-2−3i3i−3i3i-20000000i3−i3−i3i3000023−23-113i−3i−33−3300000000000000000000000000000000000
χ904-44-4-2-200-44-22222-200102i3−2i3−2i32i3-11-1200002-23i−3i3i−3i-20000000−i3i3i3−i3000023−23-11−3i3i−33−3300000000000000000000000000000000000
χ914-44-4-2-200-44-22222-200102i3−2i3−2i32i3-11-1200002-2−3i3i−3i3i-20000000−i3i3i3−i30000−2323-113i−3i3−33−300000000000000000000000000000000000
χ924-4-44440000-4-44-44-400400000-4-440000000000000000000000000000000000000000000000022−22−2222000000000000000000000
χ934-4-44440000-4-44-44-400400000-4-4400000000000000000000000000000000000000000000000−222222−22000000000000000000000
χ9488-8-8-4-48i−8i004-44-444002000002-2-20−4i4i−4i4i002i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4−8i8i004-44-444002000002-2-204i−4i4i−4i00−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000
χ968-8-888-40000-84-4-88400-40000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-88-4800004-884-4-800-40000044-4000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4000044-44-4400200000-2-2200000006-6-660000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4000044-44-4400200000-2-220000000-666-60000000000000000000000000000000000000000000000000000000000000

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