Finite Group Databasebeta

← Group #11887221

Character table — Group #11887221

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order12223344446666662366666121212121212121222448888446661212121212121212444466881212121212122424242424242424121212121212244121212122288886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1111-1-1-1-111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111111111111111-1-1111111-1-1-1-1-1-1-1-1111111-11-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1111-1-1-1-111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111-1-1-1-1111
χ51111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111111-11-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111-1-1-1-11111-1-1111-1-1-1-11111-111-1-1-111-1-1111111111111-1-1-1-1-1-1-11-1-111-111-1-1-1-1-1-11
χ71111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1111111-1
χ9111111-1-111111111-11-1-11111-1-111-1-1111-1-111111-1-1-1-1-1-11111-1-1-111111-1-1-1-111111111-1-1-1-11-111-1-11-1-11-1-1-111-1-1111-1-1
χ10111111-1-111111111-11-1-11111-1-111-1-1111-1-11111-11-1-1-111-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-111111-1-1-1-1-111-111
χ11111111-1-111111111-11-1-11111-1-111-1-1111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-11111111-1-11111-1-1-1-111111-111-1-1-1-111-1-1-1-1-111-1-1-111
χ12111111-1-111111111-11-1-11111-1-111-1-1111-1-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1111-11111-1-11-1-1
χ13111111-1-111111111-11-1-11111-1-111-1-11-1-11111111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111-1-1111-1-111-1-11-11
χ14111111-1-111111111-11-1-11111-1-111-1-11-1-1111111-11-1-1-111-1-111-1-1111-1-1-1-1-11111111111-1-1-1-1-11-1-111-1-11-1-1-111111-1-1-11-1
χ15111111-1-111111111-11-1-11111-1-111-1-11-1-111-1-1-1-11-1-1-1-1-1-11111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-1-111-111111-1-111-11-1
χ16111111-1-111111111-11-1-11111-1-111-1-11-1-111-1-1-1-1-11-1-1-111-1-111-1-1111-1-1-111111111-1-1-1-11111-11-1-1111-1-1-1-1-11-1-1-1-1111-11
χ1722222222-2-2222222-22-2-2222-222-2-222-22222000000-2-2-20000-2-222-200-2220022000000000000000000000-200-2000000000
χ1822222222-2-2222222-22-2-2222-222-2-222-2-2-2-2-2000000-2-2-20000-2-2222002-2-200-2-20000000000000000000002002000000000
χ19222222-2-2-2-22222222222222-2-2-2-2-2-2-2-222-2-20000002220000-2-2-2-2200-22200-2-2000000000000000000000-2002000000000
χ20222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2220000002220000-2-2-2-2-2002-2-20022000000000000000000000200-2000000000
χ2122222-12222-1-1-12222-1-1-1-1-1-1-1-1-12222-100002222222-1-12222-1-1-1-100000022000000-1-1-1-1-1-1-1-1-1-1-1-1-1-12020000000000-1-10
χ2222222-12222-1-1-12222-1-1-1-1-1-1-1-1-12222-100002222-2-22-1-1-2-2-2-2-1-1-1-100000022000000-1-1-1-1-1-1-1-1111111-20-20000000000110
χ2322222-12222-1-1-12222-1-1-1-1-1-1-1-1-12222-10000-2-2-2-2222-1-12222-1-1-1-1000000-2-200000011111111-1-1-1-1-1-1-20-20000000000110
χ2422222-12222-1-1-12222-1-1-1-1-1-1-1-1-12222-10000-2-2-2-2-2-22-1-1-2-2-2-2-1-1-1-1000000-2-2000000111111111111112020000000000-1-10
χ2522222-1-2-222-1-1-1222-2-111-1-1-1-11122-2-2-1000022222-2-211-2-222-1-111000000-2-2000000-1-1-1-11111-11-1-11120-20000000000-110
χ2622222-1-2-222-1-1-1222-2-111-1-1-1-11122-2-2-100002222-22-21122-2-2-1-111000000-2-2000000-1-1-1-111111-111-1-1-20200000000001-10
χ2722222-1-2-222-1-1-1222-2-111-1-1-1-11122-2-2-10000-2-2-2-22-2-211-2-222-1-111000000220000001111-1-1-1-1-11-1-111-20200000000001-10
χ2822222-1-2-222-1-1-1222-2-111-1-1-1-11122-2-2-10000-2-2-2-2-22-21122-2-2-1-111000000220000001111-1-1-1-11-111-1-120-20000000000-110
χ292222-122222222-1-1-12-122-1-1-1222-1-1-1-122222000022-1-1-1-1-1-1-1-1-1-1-12222-1-100-1-1-1-1-1-10000000022-1-1-1-1020-1-1-1-1000000000
χ302222-122222222-1-1-12-122-1-1-1222-1-1-1-1222220000-2-2-1-1-11111-1-1-1-12-2-22-1-100-1-1111100000000-2-211110-20-111-1000000000
χ312222-122222222-1-1-12-122-1-1-1222-1-1-1-12-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211001111110000000022-1-1-1-10-201111000000000
χ322222-122222222-1-1-12-122-1-1-1222-1-1-1-12-2-2-2-20000-2-2-1-1-11111-1-1-1-1-222-2110011-1-1-1-100000000-2-211110201-1-11000000000
χ332222-1222-2-2222-1-1-1-2-1-2-2-1-1-1-22211-1-1-22222000000111−i3i3−i3i311-1-1-200-2-1-100-1-1−i3−i3i3i30000000000−i3i3−i3i30001−i3i31000000000
χ342222-1222-2-2222-1-1-1-2-1-2-2-1-1-1-22211-1-1-22222000000111i3−i3i3−i311-1-1-200-2-1-100-1-1i3i3−i3−i30000000000i3−i3i3−i30001i3−i31000000000
χ352222-1222-2-2222-1-1-1-2-1-2-2-1-1-1-22211-1-1-2-2-2-2-2000000111−i3i3−i3i311-1-12002110011i3i3−i3−i30000000000−i3i3−i3i3000-1i3−i3-1000000000
χ362222-1222-2-2222-1-1-1-2-1-2-2-1-1-1-22211-1-1-2-2-2-2-2000000111i3−i3i3−i311-1-12002110011−i3−i3i3i30000000000i3−i3i3−i3000-1−i3i3-1000000000
χ372222-12-2-222222-1-1-1-2-1-2-2-1-1-12-2-2-1-111222-2-200002-211111-1-1-1-111-2222-1-10011-1-1-1-1000000002-2-1-1110-20-1111000000000
χ382222-12-2-222222-1-1-1-2-1-2-2-1-1-12-2-2-1-111222-2-20000-22111-1-111-1-111-2-2-22-1-10011111100000000-2211-1-1020-1-1-11000000000
χ392222-12-2-222222-1-1-1-2-1-2-2-1-1-12-2-2-1-1112-2-22200002-211111-1-1-1-1112-2-2-21100-1-11111000000002-2-1-1110201-1-1-1000000000
χ402222-12-2-222222-1-1-1-2-1-2-2-1-1-12-2-2-1-1112-2-2220000-22111-1-111-1-111222-21100-1-1-1-1-1-100000000-2211-1-10-20111-1000000000
χ412222-12-2-2-2-2222-1-1-12-122-1-1-1-2-2-21111-222-2-2000000-1-1-1−i3i3i3−i31111200-2-1-10011i3i3−i3−i30000000000i3−i3−i3i30001−i3i3-1000000000
χ422222-12-2-2-2-2222-1-1-12-122-1-1-1-2-2-21111-222-2-2000000-1-1-1i3−i3−i3i31111200-2-1-10011−i3−i3i3i30000000000−i3i3i3−i30001i3−i3-1000000000
χ432222-12-2-2-2-2222-1-1-12-122-1-1-1-2-2-21111-2-2-222000000-1-1-1−i3i3i3−i31111-20021100-1-1−i3−i3i3i30000000000i3−i3−i3i3000-1i3−i31000000000
χ442222-12-2-2-2-2222-1-1-12-122-1-1-1-2-2-21111-2-2-222000000-1-1-1i3−i3−i3i31111-20021100-1-1i3i3−i3−i30000000000−i3i3i3−i3000-1−i3i31000000000
χ4522-2-2222i−2i002-2-2-2-220200-22-202i−2i002i−2i02-22i−2i22−2−2000000000002i−2i00002-2−i2i22i−2i000022−2−2−i2−i2i2i2000000000000000−i2i22−2000
χ4622-2-2222i−2i002-2-2-2-220200-22-202i−2i002i−2i02-22i−2i−2−222000000000002i−2i00002-2i2−i22i−2i0000−2−222i2i2−i2−i2000000000000000i2−i2−22000
χ4722-2-2222i−2i002-2-2-2-220200-22-202i−2i002i−2i0-22−2i2i22−2−2000000000002i−2i0000-22−i2i2−2i2i000022−2−2−i2−i2i2i2000000000000000i2−i2−22000
χ4822-2-2222i−2i002-2-2-2-220200-22-202i−2i002i−2i0-22−2i2i−2−222000000000002i−2i0000-22i2−i2−2i2i0000−2−222i2i2−i2−i2000000000000000−i2i22−2000
χ4922-2-222−2i2i002-2-2-2-220200-22-20−2i2i00−2i2i02-2−2i2i22−2−200000000000−2i2i00002-2i2−i2−2i2i000022−2−2i2i2−i2−i2000000000000000i2−i22−2000
χ5022-2-222−2i2i002-2-2-2-220200-22-20−2i2i00−2i2i02-2−2i2i−2−22200000000000−2i2i00002-2−i2i2−2i2i0000−2−222−i2−i2i2i2000000000000000−i2i2−22000
χ5122-2-222−2i2i002-2-2-2-220200-22-20−2i2i00−2i2i0-222i−2i22−2−200000000000−2i2i0000-22i2−i22i−2i000022−2−2i2i2−i2−i2000000000000000−i2i2−22000
χ5222-2-222−2i2i002-2-2-2-220200-22-20−2i2i00−2i2i0-222i−2i−2−22200000000000−2i2i0000-22−i2i22i−2i0000−2−222−i2−i2i2i2000000000000000i2−i22−2000
χ532-2-2222002-2-22-22-2-20200-2-222002-200-200002i−2i2i−2i0000000002-20002i−2i00000002i−2i2i−2i2i−2i2i−2i000000000000000002-20000000
χ542-2-2222002-2-22-22-2-20200-2-222002-200-200002i−2i2i−2i0000000002-2000−2i2i0000000−2i2i−2i2i2i−2i2i−2i00000000000000000-220000000
χ552-2-2222002-2-22-22-2-20200-2-222002-200-20000−2i2i−2i2i0000000002-20002i−2i00000002i−2i2i−2i−2i2i−2i2i00000000000000000-220000000
χ562-2-2222002-2-22-22-2-20200-2-222002-200-20000−2i2i−2i2i0000000002-2000−2i2i0000000−2i2i−2i2i−2i2i−2i2i000000000000000002-20000000
χ5744444-244-4-4-2-2-2444-4-222-2-2-22-2-2-4-44420000000000-422000022-2-200000000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-2-2-24444-2-2-2-2-2-2222-4-4-4-4200000000004-2-20000222200000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-20000000044-211-2-2-2-211110000000000000000000000-2-211110000000000000000
χ604444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-200000000-4-4-21122221111000000000000000000000022-1-1-1-10000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-41221112-2-222-2-2200000000002-1-1−2i32i3−2i32i3-1-111000000000000000000000000i3−i3i3−i30000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-41221112-2-222-2-2200000000002-1-12i3−2i32i3−2i3-1-111000000000000000000000000−i3i3−i3i30000000000000000
χ634444-2-2-4-444-2-2-2-2-2-2-4122111-222-2-222-2000000004-42-1-122-2-211-1-10000000000000000000000-2211-1-10000000000000000
χ644444-2-2-4-444-2-2-2-2-2-2-4122111-222-2-222-200000000-442-1-1-2-22211-1-100000000000000000000002-2-1-1110000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-241-2-2111222222220000000000-211−2i32i32i3−2i3-1-1-1-1000000000000000000000000−i3i3i3−i30000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-241-2-2111222222220000000000-2112i3−2i3−2i32i3-1-1-1-1000000000000000000000000i3−i3−i3i30000000000000000
χ6744-4-44-24i−4i00-222-4-440-2002-220−2i2i004i−4i000002222−22−2200000000000−2i2i000000−2i22i2000000−2−222i2i2−i2−i20000000000000000000000
χ6844-4-44-24i−4i00-222-4-440-2002-220−2i2i004i−4i00000−22−22222200000000000−2i2i0000002i2−2i200000022−2−2−i2−i2i2i20000000000000000000000
χ6944-4-44-2−4i4i00-222-4-440-2002-2202i−2i00−4i4i000002222−22−22000000000002i−2i0000002i2−2i2000000−2−222−i2−i2i2i20000000000000000000000
χ7044-4-44-2−4i4i00-222-4-440-2002-2202i−2i00−4i4i00000−22−222222000000000002i−2i000000−2i22i200000022−2−2i2i2−i2−i20000000000000000000000
χ7144-4-4-244i−4i004-4-422-20-2002-2204i−4i00−2i2i04-44i−4i000000000000000−2i2i0000-2200−2i2i0000000000000000000000000000000000
χ7244-4-4-244i−4i004-4-422-20-2002-2204i−4i00−2i2i0-44−4i4i000000000000000−2i2i00002-2002i−2i0000000000000000000000000000000000
χ7344-4-4-24−4i4i004-4-422-20-2002-220−4i4i002i−2i04-4−4i4i0000000000000002i−2i0000-22002i−2i0000000000000000000000000000000000
χ7444-4-4-24−4i4i004-4-422-20-2002-220−4i4i002i−2i0-444i−4i0000000000000002i−2i00002-200−2i2i0000000000000000000000000000000000
χ754-44-4440000-4-44-44-404004-4-4000000000000−2i22i22i2−2i2000000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ764-44-4440000-4-44-44-404004-4-40000000000002i2−2i2−2i22i20000000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ774-44-44-2000022-2-44-40-2−2i32i3-222000000000000−2i22i22i2−2i2000−2i32i30000000000000000000000i2−i2−i2i26−66−60000000000000000000000
χ784-44-44-2000022-2-44-40-2−2i32i3-2220000000000002i2−2i2−2i22i2000−2i32i30000000000000000000000−i2i2i2−i2−66−660000000000000000000000
χ794-44-44-2000022-2-44-40-22i3−2i3-222000000000000−2i22i22i2−2i20002i3−2i30000000000000000000000i2−i2−i2i2−66−660000000000000000000000
χ804-44-44-2000022-2-44-40-22i3−2i3-2220000000000002i2−2i2−2i22i20002i3−2i30000000000000000000000−i2i2i2−i26−66−60000000000000000000000
χ814-4-444400-44-44-44-4-40400-4-44-400-4400400000000000000000-440000000000000000000000000000000000000000000000
χ824-4-444-2004-42-224-4-40-20022-2-2004-400200004i−4i4i−4i000000000-220000000000000000−2i2i−2i2i00000000000000000000000000
χ834-4-444-2004-42-224-4-40-20022-2-2004-40020000−4i4i−4i4i000000000-2200000000000000002i−2i2i−2i00000000000000000000000000
χ844-4-444-200-442-224-4-40-20022-2200-4400-2000000000000000002-200000000000000000000−2i32i32i3−2i30000000000000000000000
χ854-4-444-200-442-224-4-40-20022-2200-4400-2000000000000000002-2000000000000000000002i3−2i3−2i32i30000000000000000000000
χ864-4-44-24004-4-44-4-2220-20022-2400-2200-400000000000000000-220004i−4i0000000−2i2i−2i2i000000000000000000000000000000
χ874-4-44-24004-4-44-4-2220-20022-2400-2200-400000000000000000-22000−4i4i00000002i−2i2i−2i000000000000000000000000000000
χ884-4-44-2400-44-44-4-2220-20022-2-4002-2004000000000000000002-200000000000023−23−2323000000000000000000000000000000
χ894-4-44-2400-44-44-4-2220-20022-2-4002-2004000000000000000002-2000000000000−232323−23000000000000000000000000000000
χ9088-8-8-4-48i−8i00-44444-40200-22-20−4i4i00−4i4i000000000000000000002i−2i00000000000000000000000000000000000000000000
χ9188-8-8-4-4−8i8i00-44444-40200-22-204i−4i004i−4i00000000000000000000−2i2i00000000000000000000000000000000000000000000
χ928-88-8-480000-8-884-440-400-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4000044-44-4402−4i34i32-2-200000000000000000002i3−2i30000000000000000000000000000000000000000000000000000
χ948-88-8-4-4000044-44-44024i3−4i32-2-20000000000000000000−2i32i30000000000000000000000000000000000000000000000000000
χ958-8-88-4-4008-84-44-4440200-2-22-400-44004000000000000000002-20000000000000000000000000000000000000000000000
χ968-8-88-4-400-884-44-4440200-2-224004-400-400000000000000000-220000000000000000000000000000000000000000000000

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