Finite Group Databasebeta

← Group #11895355

Character table — Group #11895355

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11112222222222224444444444444444444444466668888888888888888888881212121212121212121218181818242424242424242424242424242436363636484872
order1222334444666666223466666661212121212121212121212124444466666612121212121212121212121212124488881212121288882244121212121212242424244488664
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
χ9111111-1-111111111111-11111111111-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-111-1-111-1-111111-11-11-111-1-111-1-111-1-11-1-1
χ10111111-1-111111111111-11111111111-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-111-11-111-1-1-1-111-1-111-111
χ11111111-1-111111111111-11111111111-1-1-1-1-1-1-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11-1-11-11-1-11111-1-1-1-1111-11
χ12111111-1-111111111111-11111111111-1-1-1-1-1-1-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1111111-11-11-11-1-111-1-11111-1-1-11-1
χ13111111-1-111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-11111-111-1-111111-111-1-111-1-11111-11-111-1-1-11111-1-1-1-1-1-1-111
χ14111111-1-111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-11111-111-1-111111-1-1-11111-1-1-1-1-1-11-1-111-1-1-111-1-11111111-1-1
χ15111111-1-111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-11111-111-1-11111-1111-1-1-1-111-1-1-1-1-111-1-1111-1-111-1-11111-11-1
χ16111111-1-111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-11111-111-1-11111-11-1-111-1-11111111-11-1-1111-1-1-1-111-1-1-1-11-11
χ1722222222-2-2222222002-20000222-2-2-222222222-222220000000-20000-2-2-2-2-20000-2-20000222200000000-2-2000000000000000
χ1822222222-2-2222222002-20000222-2-2-222222222-2-2-2-2-20000000-20000-2-2-2-2-20000220000-2-2-2-20000000022000000000000000
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
χ2122222-122222-1-1-12222-122222-1-1-122-1-1-122-1-1-1-1-100002-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1002222000000002200000000-1-1-1-10000-1-10
χ2222222-122222-1-1-12222-122222-1-1-122-1-1-122-1-1-1-1-100002-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-100-2-2-2-200000000-2-20000000011110000110
χ2322222-122222-1-1-122-2-2-12-2-2-2-2-1-1-122-1-1-122-1-1-1-1-10000-2111111-111-2-22-1-1-1-1111100222200000000-2-200000000-1-1-1-10000110
χ2422222-122222-1-1-122-2-2-12-2-2-2-2-1-1-122-1-1-122-1-1-1-1-10000-2111111-111-2-22-1-1-1-1111100-2-2-2-200000000220000000011110000-1-10
χ2522222-1-2-2222-1-1-12222-1-22222-1-1-122-111-2-21111-10000-2-1-1-1-1-1-1111-2-2-2-1-11111110022-2-2000000002-200000000-1-1110000-110
χ2622222-1-2-2222-1-1-12222-1-22222-1-1-122-111-2-21111-10000-2-1-1-1-1-1-1111-2-2-2-1-111111100-2-22200000000-220000000011-1-100001-10
χ2722222-1-2-2222-1-1-122-2-2-1-2-2-2-2-2-1-1-122-111-2-21111-1000021111111-1-122-2-1-111-1-1-1-10022-2-200000000-2200000000-1-11100001-10
χ2822222-1-2-2222-1-1-122-2-2-1-2-2-2-2-2-1-1-122-111-2-21111-1000021111111-1-122-2-1-111-1-1-1-100-2-222000000002-20000000011-1-10000-110
χ292222-122222-1222-1-122-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-100000022-1-1-1-1-1-100000000000
χ302222-122222-1222-1-122-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12-2-2-2-2222-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-2-200001111000000-2-211111100000000000
χ312222-122222-1222-1-1-2-2-121111-1-1-1-1-1222-1-1-1-1-1-122222-2-2-211112-2-211-1-1-1-1-11111220000-1-1-1-1000000-2-2-1-1111100000000000
χ322222-122222-1222-1-1-2-2-121111-1-1-1-1-1222-1-1-1-1-1-12-2-2-2-2-2-2-211112-2-211-1-1-1-1-11111-2-2000011110000002211-1-1-1-100000000000
χ332222-1222-2-2-1222-1-100-1-2−i3−i3i3i3-1-1-111-222-1-1-1-1-1-1-22222000−i3−i3i3i3-200−i3i311111−i3−i3i3i3-2-20000-1-1-1-10000000011−i3i3−i3i300000000000
χ342222-1222-2-2-1222-1-100-1-2−i3−i3i3i3-1-1-111-222-1-1-1-1-1-1-2-2-2-2-2000−i3−i3i3i3-200−i3i311111−i3−i3i3i3220000111100000000-1-1i3−i3i3−i300000000000
χ352222-1222-2-2-1222-1-100-1-2i3i3−i3−i3-1-1-111-222-1-1-1-1-1-1-22222000i3i3−i3−i3-200i3−i311111i3i3−i3−i3-2-20000-1-1-1-10000000011i3−i3i3−i300000000000
χ362222-1222-2-2-1222-1-100-1-2i3i3−i3−i3-1-1-111-222-1-1-1-1-1-1-2-2-2-2-2000i3i3−i3−i3-200i3−i311111i3i3−i3−i3220000111100000000-1-1−i3i3−i3i300000000000
χ372222-12-2-222-1222-1-122-1-2-1-1-1-1-1-1-1-1-12-2-2111111222-2-2-222-1-1-1-1-2-2-2111-1-11111112-20000-1-1110000002-2-11-1-11100000000000
χ382222-12-2-222-1222-1-122-1-2-1-1-1-1-1-1-1-1-12-2-21111112-2-222-222-1-1-1-1-2-2-2111-1-1111111-22000011-1-1000000-221-111-1-100000000000
χ392222-12-2-222-1222-1-1-2-2-1-21111-1-1-1-1-12-2-2111111222-2-22-2-21111-222-1-11-1-111-1-1-1-12-20000-1-111000000-22-1111-1-100000000000
χ402222-12-2-222-1222-1-1-2-2-1-21111-1-1-1-1-12-2-21111112-2-2222-2-21111-222-1-11-1-111-1-1-1-1-22000011-1-10000002-21-1-1-11100000000000
χ412222-12-2-2-2-2-1222-1-100-12−i3−i3i3i3-1-1-111-2-2-2111111-222-2-2000−i3−i3i3i3200i3−i3-111-1-1i3i3−i3−i3-220000-1-111000000001-1−i3i3i3−i300000000000
χ422222-12-2-2-2-2-1222-1-100-12−i3−i3i3i3-1-1-111-2-2-2111111-2-2-222000−i3−i3i3i3200i3−i3-111-1-1i3i3−i3−i32-2000011-1-100000000-11i3−i3−i3i300000000000
χ432222-12-2-2-2-2-1222-1-100-12i3i3−i3−i3-1-1-111-2-2-2111111-222-2-2000i3i3−i3−i3200−i3i3-111-1-1−i3−i3i3i3-220000-1-111000000001-1i3−i3−i3i300000000000
χ442222-12-2-2-2-2-1222-1-100-12i3i3−i3−i3-1-1-111-2-2-2111111-2-2-222000i3i3−i3−i3200−i3i3-111-1-1−i3−i3i3i32-2000011-1-100000000-11−i3i3i3−i300000000000
χ4522-2-2222-200-2-2-222-200200000-2-220002-22-222-2-202i−2i2i−2i000000000000000000000002−22−22i−2i2i−2i−i2−i2i2i200000000002−22−200−i2i2000
χ4622-2-2222-200-2-2-222-200200000-2-220002-22-222-2-202i−2i2i−2i00000000000000000000000−22−222i−2i2i−2ii2i2−i2−i20000000000−22−2200i2−i2000
χ4722-2-2222-200-2-2-222-200200000-2-220002-22-222-2-20−2i2i−2i2i000000000000000000000002−22−2−2i2i−2i2ii2i2−i2−i200000000002−22−200i2−i2000
χ4822-2-2222-200-2-2-222-200200000-2-220002-22-222-2-20−2i2i−2i2i00000000000000000000000−22−22−2i2i−2i2i−i2−i2i2i20000000000−22−2200−i2i2000
χ4922-2-222-2200-2-2-222-200200000-2-22000-22-22-2-22202i−2i−2i2i000000000000000000000002−2−222i−2i−2i2i−i2−i2i2i200000000002−2−2200i2−i2000
χ5022-2-222-2200-2-2-222-200200000-2-22000-22-22-2-22202i−2i−2i2i00000000000000000000000−222−22i−2i−2i2ii2i2−i2−i20000000000−222−200−i2i2000
χ5122-2-222-2200-2-2-222-200200000-2-22000-22-22-2-2220−2i2i2i−2i000000000000000000000002−2−22−2i2i2i−2ii2i2−i2−i200000000002−2−2200−i2i2000
χ5222-2-222-2200-2-2-222-200200000-2-22000-22-22-2-2220−2i2i2i−2i00000000000000000000000−222−2−2i2i2i−2i−i2−i2i2i20000000000−222−200i2−i2000
χ532-22-22200-2222-2-2-2-22-2202-22-22-2-22-2-2000000002000002-22-22-20000002-200000000000000002i−2i2i−2i000000000000002i−2i00000
χ542-22-22200-2222-2-2-2-22-2202-22-22-2-22-2-2000000002000002-22-22-20000002-20000000000000000−2i2i−2i2i00000000000000−2i2i00000
χ552-22-22200-2222-2-2-2-2-2220-22-222-2-22-2-200000000200000-22-22-220000002-200000000000000002i−2i2i−2i00000000000000−2i2i00000
χ562-22-22200-2222-2-2-2-2-2220-22-222-2-22-2-200000000200000-22-22-220000002-20000000000000000−2i2i−2i2i000000000000002i−2i00000
χ5744444-244-4-44-2-2-24400-2-40000-2-2-2-4-42-2-244-2-2-2-220000000000020000-42222000000000000000000000000000000000000000
χ5844444-2-4-4-4-44-2-2-24400-240000-2-2-2-4-4222-4-42222200000000000-20000422-2-2000000000000000000000000000000000000000
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
χ614444-2-244-4-4-2-2-2-2-2-2001-4−2i3−2i32i32i3111222-2-2-2-2111120000000i3i3−i3−i3200−2i32i32-1-1-1-1i3i3−i3−i300000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2001-42i32i3−2i3−2i3111222-2-2-2-2111120000000−i3−i3i3i32002i3−2i32-1-1-1-1−i3−i3i3i300000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-2441-4-2-2-2-2111-2-2-22222-1-1-1-1-20000-4-2-2111122222211-1-1-1-1-1-100000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-2-4-41-42222111-2-2-22222-1-1-1-1-20000422-1-1-1-12-2-2-2-2211-1-1111100000000000000000000000000000000000
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
χ6744-4-44-24-400-422-24-400-20000022-2000-224-4-2-222000000000000000000000000000022−2222−22000000000000000000−22−220000000
χ6844-4-44-24-400-422-24-400-20000022-2000-224-4-2-2220000000000000000000000000000−2222−22220000000000000000002−22−20000000
χ6944-4-44-2-4400-422-24-400-20000022-20002-2-4422-2-2000000000000000000000000000022−22−2222000000000000000000−222−20000000
χ7044-4-44-2-4400-422-24-400-20000022-20002-2-4422-2-20000000000000000000000000000−222222−220000000000000000002−2−220000000
χ7144-4-4-244-4002-4-44-2200-20000022-20004-4-22-2-22204i−4i4i−4i000000000000000000000000000−2i2i−2i2i0000000000000000000000000
χ7244-4-4-244-4002-4-44-2200-20000022-20004-4-22-2-2220−4i4i−4i4i0000000000000000000000000002i−2i2i−2i0000000000000000000000000
χ7344-4-4-24-44002-4-44-2200-20000022-2000-442-222-2-204i−4i−4i4i000000000000000000000000000−2i2i2i−2i0000000000000000000000000
χ7444-4-4-24-44002-4-44-2200-20000022-2000-442-222-2-20−4i4i4i−4i0000000000000000000000000002i−2i−2i2i0000000000000000000000000
χ754-44-444004-444-4-4-4-4004000004-4-4-44400000000-400000000000000000-4400000000000000000000000000000000000000000
χ764-44-44-2004-44-222-4-400-200000-222-44-200000000200000000000023−230002-20023−2323−2300000000000000000000000000000000000
χ774-44-44-2004-44-222-4-400-200000-222-44-2000000002000000000000−23230002-200−2323−232300000000000000000000000000000000000
χ784-44-44-200-444-222-4-44-4-204-44-4-2224-4200000000-200000-22-22-22000000-2200000000000000000000000000000000000000000
χ794-44-44-200-444-222-4-4-44-20-44-44-2224-4200000000-2000002-22-22-2000000-2200000000000000000000000000000000000000000
χ804-44-4-24004-4-24-4-42200-20−2i32i32i3−2i3-2222-2400000000-40000000−2i32i32i3−2i30000002-200000000000000000000000000000000000000000
χ814-44-4-24004-4-24-4-42200-202i3−2i3−2i32i3-2222-2400000000-400000002i3−2i3−2i32i30000002-200000000000000000000000000000000000000000
χ824-44-4-2400-44-24-4-4224-4-20-22-22-222-22-4000000004000004-4-22-22000000-2200000000000000000000000000000000000000000
χ834-44-4-2400-44-24-4-422-44-202-22-2-222-22-400000000400000-442-22-2000000-2200000000000000000000000000000000000000000
χ844-44-4-2-2004-4-2-222220010−2i32i32i3−2i31-1-12-2-200003i−3i3i−3i20000000i3−i3−i3i3023−23000-113i−3i−33−3300000000000000000000000000000000000
χ854-44-4-2-2004-4-2-222220010−2i32i32i3−2i31-1-12-2-20000−3i3i−3i3i20000000i3−i3−i3i30−2323000-11−3i3i3−33−300000000000000000000000000000000000
χ864-44-4-2-2004-4-2-2222200102i3−2i3−2i32i31-1-12-2-200003i−3i3i−3i20000000−i3i3i3−i30−2323000-113i−3i3−33−300000000000000000000000000000000000
χ874-44-4-2-2004-4-2-2222200102i3−2i3−2i32i31-1-12-2-20000−3i3i−3i3i20000000−i3i3i3−i3023−23000-11−3i3i−33−3300000000000000000000000000000000000
χ884-44-4-2-200-44-2-222224-410-22-221-1-1-22200003i−3i3i−3i-200000-221-11-10000001-1−3i3i−3i3i3i−3i00000000000000000000000000000000000
χ894-44-4-2-200-44-2-222224-410-22-221-1-1-2220000−3i3i−3i3i-200000-221-11-10000001-13i−3i3i−3i−3i3i00000000000000000000000000000000000
χ904-44-4-2-200-44-2-22222-44102-22-21-1-1-22200003i−3i3i−3i-2000002-2-11-110000001-1−3i3i3i−3i−3i3i00000000000000000000000000000000000
χ914-44-4-2-200-44-2-22222-44102-22-21-1-1-2220000−3i3i−3i3i-2000002-2-11-110000001-13i−3i−3i3i3i−3i00000000000000000000000000000000000
χ924-4-44440000-4-44-4-4400400000-44-40000000000000000000000000000000000000000000000022−22−2222000000000000000000000
χ934-4-44440000-4-44-4-4400400000-44-400000000000000000000000000000000000000000000000−222222−22000000000000000000000
χ9488-8-8-4-48-800444-4-4400200000-2-22000-44-4422-2-20000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4-8800444-4-4400200000-2-220004-44-4-2-2220000000000000000000000000000000000000000000000000000000000000
χ968-8-888-40000-84-44-8800-4000004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-88-4800004-88-84-400-4000004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4000044-444-400200000-22-200000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000
χ998-8-88-4-4000044-444-400200000-22-20000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000

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