Finite Group Databasebeta

← Group #11887284

Character table — Group #11887284

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order122233444466666634666121212121212121212122244888844121212121212121212121224446688121212121212242424242424242412121212121224461212122288886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11-1-11111111-1-111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1
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
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1111
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
χ61111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-1111111-111-1-1-1111111-1-111111111-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-11
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
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1
χ9111111-1-1111111111-1111-1-1-1-1-1-1111111-1-111111-1-1-1-11111-1-1-1-1-111111-1-11111-1-11111-1-1-1-11-111-1-11-1-1-11-1-11111-1-11-1-1
χ10111111-1-1111111111-1111-1-1-1-1-1-1111111-1-11111-1111-1-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-111-1111-1-111-1-1-111
χ11111111-1-1111111111-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-111111111111-1-1-1-1-1-111111-111-1-1-1-11-11-1-1-1-1-1-111-111
χ12111111-1-1111111111-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-111111-1-1111-1-1
χ13111111-1-1111111111-1111-1-1-1-1-1-11111-1-11111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-111-11-111-1-1-1-1111-11
χ14111111-1-1111111111-1111-1-1-1-1-1-11111-1-1111111-1111-1-1-111-1-1-1-1111-1-1-1-1-11111111111-1-1-1-1-11-1-111-1-111-1-1-111-1-111-11-1
χ15111111-1-1111111111-1111-1-1-1-1-1-11111-1-111-1-1-1-11-1-1-1-11111-1-1-1-11-1-1-1-1-111-1-1-1-111-1-1-1-111111-111-1-1-1111-1111111-1-1-11-1
χ16111111-1-1111111111-1111-1-1-1-1-1-11111-1-111-1-1-1-1-1111-1-1-111-1-1-1-1111-1-1-111111111-1-1-1-11111-11-1-1111-1-11-1-1-1-1-111-1-11-11
χ1722222222-2-22222222-22222222-2-2-2-2-2-2222200000000-200-2-222-2-2-200-2220000002200000000000000000-2-200000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-2-2-200000000-200-2-222-2-22002-2-2000000-2-2000000000000000002200000000000
χ19222222-2-2-2-222222222222-2-2-2-222-2-2-2-222-2-200000000200-2-2-2-222200-222000000-2-2000000000000000002-200000000000
χ20222222-2-2-2-222222222222-2-2-2-222-2-2-2-2-2-22200000000200-2-2-2-222-2002-2-20000002200000000000000000-2200000000000
χ2122222-1222222-12-1-1-12-1-1-122-1-122-1-1222222000022-1-1-1-1-1-1-1-1-1-1-12222-1-100-1-1-1-1-1-10000000022-1-1-1-1020-1-1-1-1000000000
χ2222222-1222222-12-1-1-12-1-1-122-1-122-1-12222220000-2-211-111-1-1-1-1-1-12-2-22-1-1001111-1-100000000-2-211110-20-1-111000000000
χ2322222-1222222-12-1-1-12-1-1-122-1-122-1-122-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211001111110000000022-1-1-1-10-201111000000000
χ2422222-1222222-12-1-1-12-1-1-122-1-122-1-122-2-2-2-20000-2-211-111-1-1-1-1-1-1-222-21100-1-1-1-11100000000-2-2111102011-1-1000000000
χ2522222-122-2-222-12-1-1-1-2-1-1-122-1-1-2-211-2-22222000000−i3i31−i3i311-1-111-200-2-1-100−i3−i3i3i3-1-10000000000−i3i3−i3i300011−i3i3000000000
χ2622222-122-2-222-12-1-1-1-2-1-1-122-1-1-2-211-2-22222000000i3−i31i3−i311-1-111-200-2-1-100i3i3−i3−i3-1-10000000000i3−i3i3−i300011i3−i3000000000
χ2722222-122-2-222-12-1-1-1-2-1-1-122-1-1-2-211-2-2-2-2-2-2000000−i3i31−i3i311-1-11120021100i3i3−i3−i3110000000000−i3i3−i3i3000-1-1i3−i3000000000
χ2822222-122-2-222-12-1-1-1-2-1-1-122-1-1-2-211-2-2-2-2-2-2000000i3−i31i3−i311-1-11120021100−i3−i3i3i3110000000000i3−i3i3−i3000-1-1−i3i3000000000
χ2922222-1-2-22222-12-1-1-1-2-1-1-1-2-211-2-2-1-12222-2-200002-2111-1-1-1-11111-2222-1-100-1-1-1-111000000002-2-1-1110-201-111000000000
χ3022222-1-2-22222-12-1-1-1-2-1-1-1-2-211-2-2-1-12222-2-20000-22-1-1111-1-11111-2-2-22-1-10011111100000000-2211-1-10201-1-1-1000000000
χ3122222-1-2-22222-12-1-1-1-2-1-1-1-2-211-2-2-1-122-2-22200002-2111-1-1-1-111112-2-2-211001111-1-1000000002-2-1-111020-11-1-1000000000
χ3222222-1-2-22222-12-1-1-1-2-1-1-1-2-211-2-2-1-122-2-2220000-22-1-1111-1-11111222-21100-1-1-1-1-1-100000000-2211-1-10-20-1111000000000
χ3322222-1-2-2-2-222-12-1-1-12-1-1-1-2-2112211-2-222-2-2000000−i3i3-1i3−i31111-1-1200-2-1-100i3i3−i3−i3110000000000i3−i3−i3i3000-11−i3i3000000000
χ3422222-1-2-2-2-222-12-1-1-12-1-1-1-2-2112211-2-222-2-2000000i3−i3-1−i3i31111-1-1200-2-1-100−i3−i3i3i3110000000000−i3i3i3−i3000-11i3−i3000000000
χ3522222-1-2-2-2-222-12-1-1-12-1-1-1-2-2112211-2-2-2-222000000−i3i3-1i3−i31111-1-1-20021100−i3−i3i3i3-1-10000000000i3−i3−i3i30001-1i3−i3000000000
χ3622222-1-2-2-2-222-12-1-1-12-1-1-1-2-2112211-2-2-2-222000000i3−i3-1−i3i31111-1-1-20021100i3i3−i3−i3-1-10000000000−i3i3i3−i30001-1−i3i3000000000
χ372222-122222-1-12-122-12-1-1-1-1-122-1-122-1-1000022222222222-1-1-1-1-1-100000022000000-1-1-1-1-1-1-1-1-1-1-1-1-1-12020000000000-1-10
χ382222-122222-1-12-122-12-1-1-1-1-122-1-122-1-100002222-2-2-2-22-2-2-1-1-1-1-1-100000022000000-1-1-1-1-1-1-1-1111111-20-20000000000110
χ392222-122222-1-12-122-12-1-1-1-1-122-1-122-1-10000-2-2-2-22222222-1-1-1-1-1-1000000-2-200000011111111-1-1-1-1-1-1-20-20000000000110
χ402222-122222-1-12-122-12-1-1-1-1-122-1-122-1-10000-2-2-2-2-2-2-2-22-2-2-1-1-1-1-1-1000000-2-2000000111111111111112020000000000-1-10
χ412222-12-2-222-1-12-122-1-2-1-1-111-2-21122-1-1000022222-2-2-2-222-1-11111000000-2-2000000-1-1-1-11111-11-1-11120-20000000000-110
χ422222-12-2-222-1-12-122-1-2-1-1-111-2-21122-1-100002222-2222-2-2-2-1-11111000000-2-2000000-1-1-1-111111-111-1-1-20200000000001-10
χ432222-12-2-222-1-12-122-1-2-1-1-111-2-21122-1-10000-2-2-2-22-2-2-2-222-1-11111000000220000001111-1-1-1-1-11-1-111-20200000000001-10
χ442222-12-2-222-1-12-122-1-2-1-1-111-2-21122-1-10000-2-2-2-2-2222-2-2-2-1-11111000000220000001111-1-1-1-11-111-1-120-20000000000-110
χ4522-2-2222i−2i002-2-2-22-220-22-22i−2i2i−2i0000002-22i−2i22−2−20000000002i−2i0000002-2−i2i200002i−2i22−2−2−i2−i2i2i20000000000000002−2−i2i2000
χ4622-2-2222i−2i002-2-2-22-220-22-22i−2i2i−2i0000002-22i−2i−2−2220000000002i−2i0000002-2i2−i200002i−2i−2−222i2i2−i2−i2000000000000000−22i2−i2000
χ4722-2-2222i−2i002-2-2-22-220-22-22i−2i2i−2i000000-22−2i2i22−2−20000000002i−2i000000-22−i2i20000−2i2i22−2−2−i2−i2i2i2000000000000000−22i2−i2000
χ4822-2-2222i−2i002-2-2-22-220-22-22i−2i2i−2i000000-22−2i2i−2−2220000000002i−2i000000-22i2−i20000−2i2i−2−222i2i2−i2−i20000000000000002−2−i2i2000
χ4922-2-222−2i2i002-2-2-22-220-22-2−2i2i−2i2i0000002-2−2i2i22−2−2000000000−2i2i0000002-2i2−i20000−2i2i22−2−2i2i2−i2−i20000000000000002−2i2−i2000
χ5022-2-222−2i2i002-2-2-22-220-22-2−2i2i−2i2i0000002-2−2i2i−2−222000000000−2i2i0000002-2−i2i20000−2i2i−2−222−i2−i2i2i2000000000000000−22−i2i2000
χ5122-2-222−2i2i002-2-2-22-220-22-2−2i2i−2i2i000000-222i−2i22−2−2000000000−2i2i000000-22i2−i200002i−2i22−2−2i2i2−i2−i2000000000000000−22−i2i2000
χ5222-2-222−2i2i002-2-2-22-220-22-2−2i2i−2i2i000000-222i−2i−2−222000000000−2i2i000000-22−i2i200002i−2i−2−222−i2−i2i2i20000000000000002−2i2−i2000
χ532-22-222002-2-2-2-22-22202-2-20000002-22-200002i−2i2i−2i00000002-2000002i−2i000002i−2i2i−2i002i−2i2i−2i000000000000000002-20000000
χ542-22-222002-2-2-2-22-22202-2-20000002-22-200002i−2i2i−2i00000002-200000−2i2i00000−2i2i−2i2i002i−2i2i−2i00000000000000000-220000000
χ552-22-222002-2-2-2-22-22202-2-20000002-22-20000−2i2i−2i2i00000002-2000002i−2i000002i−2i2i−2i00−2i2i−2i2i00000000000000000-220000000
χ562-22-222002-2-2-2-22-22202-2-20000002-22-20000−2i2i−2i2i00000002-200000−2i2i00000−2i2i−2i2i00−2i2i−2i2i000000000000000002-20000000
χ574444-2444-4-4-2-24-244-2-4-2-2-2-2-24422-4-422000000000000-40022-2-22200000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-24-244-24-2-2-222-4-4-2-2-4-4220000000000004002222-2-200000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-2-21111110000000000000000000000-2-211110000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-200000000-4-422-222111111000000000000000000000022-1-1-1-10000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-22222220000000000−2i32i32−2i32i3-1-111-1-1000000000000000000000000i3−i3i3−i30000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-222222200000000002i3−2i322i3−2i3-1-111-1-1000000000000000000000000−i3i3−i3i30000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4111222222-2-2-2-2000000004-4222-2-211-1-1-1-10000000000000000000000-2211-1-10000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4111222222-2-2-2-200000000-44-2-222211-1-1-1-100000000000000000000002-2-1-1110000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-222220000000000−2i32i3-22i3−2i3-1-1-1-111000000000000000000000000−i3i3i3−i30000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-2222200000000002i3−2i3-2−2i32i3-1-1-1-111000000000000000000000000i3−i3−i3i30000000000000000
χ6744-4-44-24i−4i004-42-4-22-202-224i−4i−2i2i0000004-44i−4i0000000000000−2i2i000000-22000000−2i2i000000000000000000000000000000
χ6844-4-44-24i−4i004-42-4-22-202-224i−4i−2i2i000000-44−4i4i0000000000000−2i2i0000002-20000002i−2i000000000000000000000000000000
χ6944-4-44-2−4i4i004-42-4-22-202-22−4i4i2i−2i0000004-4−4i4i00000000000002i−2i000000-220000002i−2i000000000000000000000000000000
χ7044-4-44-2−4i4i004-42-4-22-202-22−4i4i2i−2i000000-444i−4i00000000000002i−2i0000002-2000000−2i2i000000000000000000000000000000
χ7144-4-4-244i−4i00-22-424-4-202-22−2i2i4i−4i00000000002222−22−22000000000−2i2i00000000−2i22i2000000−2−222i2i2−i2−i20000000000000000000000
χ7244-4-4-244i−4i00-22-424-4-202-22−2i2i4i−4i0000000000−22−222222000000000−2i2i000000002i2−2i200000022−2−2−i2−i2i2i20000000000000000000000
χ7344-4-4-24−4i4i00-22-424-4-202-222i−2i−4i4i00000000002222−22−220000000002i−2i000000002i2−2i2000000−2−222−i2−i2i2i20000000000000000000000
χ7444-4-4-24−4i4i00-22-424-4-202-222i−2i−4i4i0000000000−22−2222220000000002i−2i00000000−2i22i200000022−2−2i2i2−i2−i20000000000000000000000
χ754-44-44400-44-4-4-44-44404-4-4000000-44-44000000000000000-44000000000000000000000000000000000000000000000000
χ764-44-44-2004-4-4-4242-2-20-222000000-224-4000000000000000-22000004i−4i00000−2i2i−2i2i00000000000000000000000000000000
χ774-44-44-2004-4-4-4242-2-20-222000000-224-4000000000000000-2200000−4i4i000002i−2i2i−2i00000000000000000000000000000000
χ784-44-44-200-44-4-4242-2-20-2220000002-2-440000000000000002-200000000000023−23−232300000000000000000000000000000000
χ794-44-44-200-44-4-4242-2-20-2220000002-2-440000000000000002-2000000000000−232323−2300000000000000000000000000000000
χ804-44-4-24004-422-4-2-44-20-2220000004-4-2200004i−4i4i−4i0000000-22000000000000000000−2i2i−2i2i00000000000000000000000000
χ814-44-4-24004-422-4-2-44-20-2220000004-4-220000−4i4i−4i4i0000000-220000000000000000002i−2i2i−2i00000000000000000000000000
χ824-44-4-2400-4422-4-2-44-20-222000000-442-20000000000000002-2000000000000000000000023−2323−230000000000000000000000
χ834-44-4-2400-4422-4-2-44-20-222000000-442-20000000000000002-20000000000000000000000−2323−23230000000000000000000000
χ844-4-44440000-444-4-4-440-4-4400000000000000−2i22i22i2−2i2000000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ854-4-44440000-444-4-4-440-4-44000000000000002i2−2i2−2i22i20000000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ864-4-44-2400002-242-4-4-2022-2000023−2300000000−2i22i22i2−2i20000000000023−2300000000000000i2−i2−i2i2i6−i6−i6i60000000000000000000000
χ874-4-44-2400002-242-4-4-2022-2000023−23000000002i2−2i2−2i22i20000000000023−2300000000000000−i2i2i2−i2−i6i6i6−i60000000000000000000000
χ884-4-44-2400002-242-4-4-2022-20000−232300000000−2i22i22i2−2i200000000000−232300000000000000i2−i2−i2i2−i6i6i6−i60000000000000000000000
χ894-4-44-2400002-242-4-4-2022-20000−2323000000002i2−2i2−2i22i200000000000−232300000000000000−i2i2i2−i2i6−i6−i6i60000000000000000000000
χ9088-8-8-4-48i−8i00-4444-4420-22-2−4i4i−4i4i000000000000000000000002i−2i0000000000000000000000000000000000000000000000
χ9188-8-8-4-4−8i8i00-4444-4420-22-24i−4i4i−4i00000000000000000000000−2i2i0000000000000000000000000000000000000000000000
χ928-88-8-4-4008-8444-44-4202-2-2000000-44-440000000000000002-2000000000000000000000000000000000000000000000000
χ938-88-8-4-400-88444-44-4202-2-20000004-44-4000000000000000-22000000000000000000000000000000000000000000000000
χ948-8-888-40000-88-4-844-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400004-4-444420-2-22000043−4300000000000000000000000−232300000000000000000000000000000000000000000000
χ968-8-88-4-400004-4-444420-2-220000−43430000000000000000000000023−2300000000000000000000000000000000000000000000

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