Finite Group Databasebeta

← Group #11895675

Character table — Group #11895675

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order12223344446666663466612121212121212121212444488884412121212121212121212124444881212121212121212242424242424242412121212121222412121212448888664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-1111
χ51111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11
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
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1
χ9111111-1-1111111111-1111-1-1-1-111-1-11111-1-111111-111-1-1-111-1-1-1-11-111-1-1111111-1-11111-1-1-1-11-111-1-11-1-11-1-1-11111-1-11-1-1
χ10111111-1-1111111111-1111-1-1-1-111-1-11111-1-11111-11-1-111-111-1-1-1-11-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-1111-111-1-111-1-1-111
χ11111111-1-1111111111-1111-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-1-111-1-1-1-11-11111111111-1-1-1-1-1-111111-111-1-1-11-11-1-1-1-1-1-1-111-111
χ12111111-1-1111111111-1111-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-111-1-1-1-11-1-1-111-1-1-1-111-1-1-1-1-1-11111-11-1-1111-111-11111-1-1111-1-1
χ13111111-1-1111111111-1111-1-1-1-111-1-111-1-11111111-111-1-1-111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-11-11-1111-1-1-1-1111-11
χ14111111-1-1111111111-1111-1-1-1-111-1-111-1-1111111-11-1-111-111-1-1-1-1-1111-1-11111-1-1111111-1-1-1-1-11-1-111-11-1-11-1-111-1-111-11-1
χ15111111-1-1111111111-1111-1-1-1-111-1-111-1-111-1-1-1-11-111-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-111111-111-1-1-111-11111111-1-1-11-1
χ16111111-1-1111111111-1111-1-1-1-111-1-111-1-111-1-1-1-1-11-1-111-111-1-1-1-1-1111111111-1-111-1-1-1-11111-11-1-1111-1-1-11-1-1-1-111-1-11-11
χ1722222222-2-22222222-2222-2-222-2-222-2-222220000000000-2-2-2-2-222-2-200000000222200000000000000000-2-200000000000
χ1822222222-2-22222222-2222-2-222-2-222-2-2-2-2-2-20000000000-2-2-2-2-2222200000000-2-2-2-2000000000000000002200000000000
χ19222222-2-2-2-22222222222222-2-2-2-2-2-2-2-222-2-200000000002-2-222-2-2-220000000022-2-200000000000000000-2200000000000
χ20222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-22200000000002-2-222-2-22-200000000-2-222000000000000000002-200000000000
χ2122222-12222-1-1-1222-12-1-1-1-1-1-1-12222-1-1000022222222222-1-1-1-1-1-100002200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-12200000000000-1-10
χ2222222-12222-1-1-1222-12-1-1-1-1-1-1-12222-1-100002222-2-2-2-2-2-22-1-1-1-1-1-100002200000000-1-1-1-1-1-1-1-1111111-2-200000000000110
χ2322222-12222-1-1-1222-12-1-1-1-1-1-1-12222-1-10000-2-2-2-22222222-1-1-1-1-1-10000-2-20000000011111111-1-1-1-1-1-1-2-200000000000110
χ2422222-12222-1-1-1222-12-1-1-1-1-1-1-12222-1-10000-2-2-2-2-2-2-2-2-2-22-1-1-1-1-1-10000-2-200000000111111111111112200000000000-1-10
χ2522222-1-2-222-1-1-1222-1-2-1-1-1111122-2-2-1-1000022222-222-2-2-2-1-111110000-2-200000000-1-1-1-11111-11-1-1112-200000000000-110
χ2622222-1-2-222-1-1-1222-1-2-1-1-1111122-2-2-1-100002222-22-2-222-2-1-111110000-2-200000000-1-1-1-111111-111-1-1-22000000000001-10
χ2722222-1-2-222-1-1-1222-1-2-1-1-1111122-2-2-1-10000-2-2-2-22-222-2-2-2-1-11111000022000000001111-1-1-1-1-11-1-111-22000000000001-10
χ2822222-1-2-222-1-1-1222-1-2-1-1-1111122-2-2-1-10000-2-2-2-2-22-2-222-2-1-11111000022000000001111-1-1-1-11-111-1-12-200000000000-110
χ292222-122222222-1-1-1-12-1-1-12222-1-1-1-1222222000022-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-1-1-1-1-10000000022-1-1-1-1002-1-1-1-1000000000
χ302222-122222222-1-1-1-12-1-1-12222-1-1-1-12222220000-2-21111-1-1-1-1-1-1-122-2-2001111-1-1-1-100000000-2-2111100-2-1-111000000000
χ312222-122222222-1-1-1-12-1-1-12222-1-1-1-122-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200111111110000000022-1-1-1-100-21111000000000
χ322222-122222222-1-1-1-12-1-1-12222-1-1-1-122-2-2-2-20000-2-21111-1-1-1-1-1-1-1-2-22200-1-1-1-1111100000000-2-2111100211-1-1000000000
χ332222-1222-2-2222-1-1-1-1-2-1-1-1-2-22211-1-1-2-22222000000−i3i3−i3i311111-1-1-2-20000−i3−i3i3i3-1-1-1-10000000000−i3i3−i3i300011−i3i3000000000
χ342222-1222-2-2222-1-1-1-1-2-1-1-1-2-22211-1-1-2-22222000000i3−i3i3−i311111-1-1-2-20000i3i3−i3−i3-1-1-1-10000000000i3−i3i3−i300011i3−i3000000000
χ352222-1222-2-2222-1-1-1-1-2-1-1-1-2-22211-1-1-2-2-2-2-2-2000000−i3i3−i3i311111-1-1220000i3i3−i3−i311110000000000−i3i3−i3i3000-1-1i3−i3000000000
χ362222-1222-2-2222-1-1-1-1-2-1-1-1-2-22211-1-1-2-2-2-2-2-2000000i3−i3i3−i311111-1-1220000−i3−i3i3i311110000000000i3−i3i3−i3000-1-1−i3i3000000000
χ372222-12-2-222222-1-1-1-1-2-1-1-1-2-2-2-2-1-1112222-2-200002-2-1-1111-1-111112-22200-1-1-1-1-1-111000000002-2-1-11100-2-1111000000000
χ382222-12-2-222222-1-1-1-1-2-1-1-1-2-2-2-2-1-1112222-2-20000-2211-1-11-1-111112-2-2-2001111-1-11100000000-2211-1-1002-11-1-1000000000
χ392222-12-2-222222-1-1-1-1-2-1-1-1-2-2-2-2-1-11122-2-22200002-2-1-1111-1-11111-22-2-200111111-1-1000000002-2-1-1110021-1-1-1000000000
χ402222-12-2-222222-1-1-1-1-2-1-1-1-2-2-2-2-1-11122-2-2220000-2211-1-11-1-11111-222200-1-1-1-111-1-100000000-2211-1-100-21-111000000000
χ412222-12-2-2-2-2222-1-1-1-12-1-1-122-2-21111-2-222-2-2000000−i3i3i3−i3-111-1-111-220000−i3−i3i3i3-1-1110000000000−i3i3i3−i30001-1i3−i3000000000
χ422222-12-2-2-2-2222-1-1-1-12-1-1-122-2-21111-2-222-2-2000000i3−i3−i3i3-111-1-111-220000i3i3−i3−i3-1-1110000000000i3−i3−i3i30001-1−i3i3000000000
χ432222-12-2-2-2-2222-1-1-1-12-1-1-122-2-21111-2-2-2-222000000−i3i3i3−i3-111-1-1112-20000i3i3−i3−i311-1-10000000000−i3i3i3−i3000-11−i3i3000000000
χ442222-12-2-2-2-2222-1-1-1-12-1-1-122-2-21111-2-2-2-222000000i3−i3−i3i3-111-1-1112-20000−i3−i3i3i311-1-10000000000i3−i3−i3i3000-11i3−i3000000000
χ4522-2-2222-200-2-22-22-220-2-22002-2002-2002i−2i2i−2i22−2−2000000000002-200002−200002i−2i2i−2i22−2−222−2−2000000000000000−i2i2−i2i2000
χ4622-2-2222-200-2-22-22-220-2-22002-2002-2002i−2i2i−2i−2−222000000000002-20000−2200002i−2i2i−2i−2−222−2−222000000000000000i2−i2i2−i2000
χ4722-2-2222-200-2-22-22-220-2-22002-2002-200−2i2i−2i2i22−2−2000000000002-200002−20000−2i2i−2i2i22−2−222−2−2000000000000000i2−i2i2−i2000
χ4822-2-2222-200-2-22-22-220-2-22002-2002-200−2i2i−2i2i−2−222000000000002-20000−220000−2i2i−2i2i−2−222−2−222000000000000000−i2i2−i2i2000
χ4922-2-222-2200-2-22-22-220-2-2200-2200-22002i−2i−2i2i22−2−200000000000-220000−2200002i−2i−2i2i22−2−2−2−222000000000000000−i2i2i2−i2000
χ5022-2-222-2200-2-22-22-220-2-2200-2200-22002i−2i−2i2i−2−22200000000000-2200002−200002i−2i−2i2i−2−22222−2−2000000000000000i2−i2−i2i2000
χ5122-2-222-2200-2-22-22-220-2-2200-2200-2200−2i2i2i−2i22−2−200000000000-220000−220000−2i2i2i−2i22−2−2−2−222000000000000000i2−i2−i2i2000
χ5222-2-222-2200-2-22-22-220-2-2200-2200-2200−2i2i2i−2i−2−22200000000000-2200002−20000−2i2i2i−2i−2−22222−2−2000000000000000−i2i2i2−i2000
χ532-22-22200-222-2-22-2-2202-2-200002-2002-200002i−2i2i−2i00000002-20000002-2002-22-200002i−2i2i−2i000000000000000002i−2i0000000
χ542-22-22200-222-2-22-2-2202-2-200002-2002-200002i−2i2i−2i00000002-2000000-2200-22-2200002i−2i2i−2i00000000000000000−2i2i0000000
χ552-22-22200-222-2-22-2-2202-2-200002-2002-20000−2i2i−2i2i00000002-20000002-2002-22-20000−2i2i−2i2i00000000000000000−2i2i0000000
χ562-22-22200-222-2-22-2-2202-2-200002-2002-20000−2i2i−2i2i00000002-2000000-2200-22-220000−2i2i−2i2i000000000000000002i−2i0000000
χ5744444-244-4-4-2-2-2444-2-4-2-2-222-2-2-4-4442200000000000000-42222-2-200000000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-2-2-2444-24-2-2-2-2-222-4-4-4-42200000000000000422-2-22200000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-200000000-4-42222-2111111000000000000000000000022-1-1-1-10000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-411122-2-222-2-2220000000000−2i32i3−2i32i32-1-1-1-111000000000000000000000000i3−i3i3−i30000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-411122-2-222-2-22200000000002i3−2i32i3−2i32-1-1-1-111000000000000000000000000−i3i3−i3i30000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-41112222-2-222-2-2000000004-4-2-222211-1-1-1-10000000000000000000000-2211-1-10000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-41112222-2-222-2-200000000-4422-2-2211-1-1-1-100000000000000000000002-2-1-1110000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-214111-2-2222222220000000000−2i32i32i3−2i3-2-1-111-1-1000000000000000000000000i3−i3−i3i30000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-214111-2-22222222200000000002i3−2i3−2i32i3-2-1-111-1-1000000000000000000000000−i3i3i3−i30000000000000000
χ6744-4-44-24-40022-2-44-4-2022-200-22004-40000002222−22−2200000000000-22000022−2200000000−2−222−2−2220000000000000000000000
χ6844-4-44-24-40022-2-44-4-2022-200-22004-4000000−22−22222200000000000-220000−22220000000022−2−222−2−20000000000000000000000
χ6944-4-44-2-440022-2-44-4-2022-2002-200-440000002222−22−22000000000002-20000−222200000000−2−22222−2−20000000000000000000000
χ7044-4-44-2-440022-2-44-4-2022-2002-200-44000000−22−222222000000000002-2000022−220000000022−2−2−2−2220000000000000000000000
χ7144-4-4-244-400-4-442-22-2022-2004-400-22004i−4i4i−4i000000000000000-220000000000−2i2i−2i2i000000000000000000000000000000
χ7244-4-4-244-400-4-442-22-2022-2004-400-2200−4i4i−4i4i000000000000000-2200000000002i−2i2i−2i000000000000000000000000000000
χ7344-4-4-24-4400-4-442-22-2022-200-44002-2004i−4i−4i4i0000000000000002-20000000000−2i2i2i−2i000000000000000000000000000000
χ7444-4-4-24-4400-4-442-22-2022-200-44002-200−4i4i4i−4i0000000000000002-200000000002i−2i−2i2i000000000000000000000000000000
χ754-44-444004-44-4-44-4-4404-4-40000-4400-44000000000000000-44000000000000000000000000000000000000000000000000
χ764-44-44-2004-4-2224-4-4-20-2220000-44002-20000000000000002-2000000000000000000000023−2323−230000000000000000000000
χ774-44-44-2004-4-2224-4-4-20-2220000-44002-20000000000000002-20000000000000000000000−2323−23230000000000000000000000
χ784-44-44-200-44-2224-4-4-20-22200004-400-2200004i−4i4i−4i0000000-22000000000000000000−2i2i−2i2i00000000000000000000000000
χ794-44-44-200-44-2224-4-4-20-22200004-400-220000−4i4i−4i4i0000000-220000000000000000002i−2i2i−2i00000000000000000000000000
χ804-44-4-24004-44-4-4-222-20-22200002-200-440000000000000002-20000000000−2i32i32i3−2i30000000000000000000000000000000000
χ814-44-4-24004-44-4-4-222-20-22200002-200-440000000000000002-200000000002i3−2i3−2i32i30000000000000000000000000000000000
χ824-44-4-2400-444-4-4-222-20-2220000-22004-4000000000000000-220000004-400-22-220000000000000000000000000000000000
χ834-44-4-2400-444-4-4-222-20-2220000-22004-4000000000000000-22000000-44002-22-20000000000000000000000000000000000
χ844-4-44440000-44-4-4-4440-44-400000000000000−2i22i22i2−2i2000000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ854-4-44440000-44-4-4-4440-44-4000000000000002i2−2i2−2i22i20000000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ864-4-444-200002-22-4-44-202-22−2i32i3000000000000−2i22i22i2−2i2000000000−2i32i30000000000000000i2−i2−i2i26−6−660000000000000000000000
χ874-4-444-200002-22-4-44-202-22−2i32i30000000000002i2−2i2−2i22i2000000000−2i32i30000000000000000−i2i2i2−i2−666−60000000000000000000000
χ884-4-444-200002-22-4-44-202-222i3−2i3000000000000−2i22i22i2−2i20000000002i3−2i30000000000000000i2−i2−i2i2−666−60000000000000000000000
χ894-4-444-200002-22-4-44-202-222i3−2i30000000000002i2−2i2−2i22i20000000002i3−2i30000000000000000−i2i2i2−i26−6−660000000000000000000000
χ9088-8-8-4-48-80044-44-4420-2-2200-4400-440000000000000000000002-200000000000000000000000000000000000000000000
χ9188-8-8-4-4-880044-44-4420-2-22004-4004-4000000000000000000000-2200000000000000000000000000000000000000000000
χ928-88-8-4-4008-8-444-444202-2-200004-4004-4000000000000000-22000000000000000000000000000000000000000000000000
χ938-88-8-4-400-88-444-444202-2-20000-4400-440000000000000002-2000000000000000000000000000000000000000000000000
χ948-8-88-480000-88-844-4-404-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400004-4444-420-22-2−4i34i300000000000000000000000002i3−2i30000000000000000000000000000000000000000000000
χ968-8-88-4-400004-4444-420-22-24i3−4i30000000000000000000000000−2i32i30000000000000000000000000000000000000000000000

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