Finite Group Databasebeta

← Group #11895471

Character table — Group #11895471

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order1222334444666666346661212121212121212121244448888441212121212121212121212444488121212121212121224242424242424241212121212124441212121244888812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111
χ51111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-111-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11
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
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1
χ9111111-1-1111111111-1111-1-1-1-111-1-11111-1-111111-111-1-1-1-1-1-1-1111-111-1-111-1-111111111-1-1-1-11-111-1-1-11-1-1-11-11111-1-11-1-1
χ10111111-1-1111111111-1111-1-1-1-111-1-11111-1-11111-11-1-111-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1111-11111-1-1-111-1-1-111
χ11111111-1-1111111111-1111-1-1-1-111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1111-1111111-1-11111-1-1-1-111111-111-1-1-1-11-1-11-1-1-1-1-111-111
χ12111111-1-1111111111-1111-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1111-111-1-1111-1-1
χ13111111-1-1111111111-1111-1-1-1-111-1-111-1-11111111-111-1-1-1-1-1-1-111-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-111-111-11-1-1-1-1111-11
χ14111111-1-1111111111-1111-1-1-1-111-1-111-1-1111111-11-1-111-1-1-1-1-111-1111-1-1-1-11111111111-1-1-1-1-11-1-111-1-11-1-1-1111-1-111-11-1
χ15111111-1-1111111111-1111-1-1-1-111-1-111-1-111-1-1-1-11-111-1-1-1-1-1-1-111-11-1-111-1-111-1-1-1-1-1-1-1-111111-111-1-11-1111-111111-1-1-11-1
χ16111111-1-1111111111-1111-1-1-1-111-1-111-1-111-1-1-1-1-11-1-111-1-1-1-1-111-111111-1-1111111-1-1-1-11111-11-1-111-11-1-1-1-11-1-111-1-11-11
χ1722222222-2-22222222-22222222-2-2-2-2-2-222220000000000-222-2-2-2-2-2-20000222200000000000000000000000-2-2000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-2-2-20000000000-222-2-2-2-2220000-2-2-2-20000000000000000000000022000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-222-2-222-2-200000000002-2-222-2-2-22000022-2-200000000000000000000000-22000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-222-2-2-2-22200000000002-2-222-2-22-20000-2-222000000000000000000000002-2000000000
χ2122222-1222222-1-12-1-12-1-1-122-1-1-1-122222222000022-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-1-1-1-1-10000000022-1-1-1-1200-1-1-1-1000000000
χ2222222-1222222-1-12-1-12-1-1-122-1-1-1-1222222220000-2-21111-1-1-1-1-1-1-122-2-200-1-1-1-1111100000000-2-21111-20011-1-1000000000
χ2322222-1222222-1-12-1-12-1-1-122-1-1-1-12222-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200111111110000000022-1-1-1-1-2001111000000000
χ2422222-1222222-1-12-1-12-1-1-122-1-1-1-12222-2-2-2-20000-2-21111-1-1-1-1-1-1-1-2-222001111-1-1-1-100000000-2-21111200-1-111000000000
χ2522222-122-2-222-1-12-1-1-2-1-1-122-1-111-2-2-2-22222000000−i3i3−i3i31-1-11111-2-20000-1-1-1-1−i3−i3i3i30000000000−i3i3−i3i3000−i3i311000000000
χ2622222-122-2-222-1-12-1-1-2-1-1-122-1-111-2-2-2-22222000000i3−i3i3−i31-1-11111-2-20000-1-1-1-1i3i3−i3−i30000000000i3−i3i3−i3000i3−i311000000000
χ2722222-122-2-222-1-12-1-1-2-1-1-122-1-111-2-2-2-2-2-2-2-2000000−i3i3−i3i31-1-111112200001111i3i3−i3−i30000000000−i3i3−i3i3000i3−i3-1-1000000000
χ2822222-122-2-222-1-12-1-1-2-1-1-122-1-111-2-2-2-2-2-2-2-2000000i3−i3i3−i31-1-111112200001111−i3−i3i3i30000000000i3−i3i3−i3000−i3i3-1-1000000000
χ2922222-1-2-22222-1-12-1-1-2-1-1-1-2-211-1-1-2-22222-2-200002-2-1-11111111-1-12-22200-1-111-1-1-1-1000000002-2-1-111-20011-11000000000
χ3022222-1-2-22222-1-12-1-1-2-1-1-1-2-211-1-1-2-22222-2-20000-2211-1-111111-1-12-2-2-200-1-111111100000000-2211-1-1200-1-1-11000000000
χ3122222-1-2-22222-1-12-1-1-2-1-1-1-2-211-1-1-2-222-2-22200002-2-1-11111111-1-1-22-2-20011-1-11111000000002-2-1-111200-1-11-1000000000
χ3222222-1-2-22222-1-12-1-1-2-1-1-1-2-211-1-1-2-222-2-2220000-2211-1-111111-1-1-22220011-1-1-1-1-1-100000000-2211-1-1-200111-1000000000
χ3322222-1-2-2-2-222-1-12-1-12-1-1-1-2-2111122-2-222-2-2000000−i3i3i3−i3-111-1-111-220000-1-111−i3−i3i3i30000000000−i3i3i3−i3000i3−i31-1000000000
χ3422222-1-2-2-2-222-1-12-1-12-1-1-1-2-2111122-2-222-2-2000000i3−i3−i3i3-111-1-111-220000-1-111i3i3−i3−i30000000000i3−i3−i3i3000−i3i31-1000000000
χ3522222-1-2-2-2-222-1-12-1-12-1-1-1-2-2111122-2-2-2-222000000−i3i3i3−i3-111-1-1112-2000011-1-1i3i3−i3−i30000000000−i3i3i3−i3000−i3i3-11000000000
χ3622222-1-2-2-2-222-1-12-1-12-1-1-1-2-2111122-2-2-2-222000000i3−i3−i3i3-111-1-1112-2000011-1-1−i3−i3i3i30000000000i3−i3−i3i3000i3−i3-11000000000
χ372222-122222-1-122-12-12-1-1-1-1-12222-1-1-1-1000022222222222-1-1-1-1-1-100002200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-10220000000000-1-10
χ382222-122222-1-122-12-12-1-1-1-1-12222-1-1-1-100002222-2-2-2-2-2-22-1-1-1-1-1-100002200000000-1-1-1-1-1-1-1-11111110-2-20000000000110
χ392222-122222-1-122-12-12-1-1-1-1-12222-1-1-1-10000-2-2-2-22222222-1-1-1-1-1-10000-2-20000000011111111-1-1-1-1-1-10-2-20000000000110
χ402222-122222-1-122-12-12-1-1-1-1-12222-1-1-1-10000-2-2-2-2-2-2-2-2-2-22-1-1-1-1-1-10000-2-200000000111111111111110220000000000-1-10
χ412222-12-2-222-1-122-12-1-2-1-1-111-2-22211-1-1000022222-222-2-2-21111-1-10000-2-200000000-1-1-1-11111-11-1-11102-20000000000-110
χ422222-12-2-222-1-122-12-1-2-1-1-111-2-22211-1-100002222-22-2-222-21111-1-10000-2-200000000-1-1-1-111111-111-1-10-2200000000001-10
χ432222-12-2-222-1-122-12-1-2-1-1-111-2-22211-1-10000-2-2-2-22-222-2-2-21111-1-1000022000000001111-1-1-1-1-11-1-1110-2200000000001-10
χ442222-12-2-222-1-122-12-1-2-1-1-111-2-22211-1-10000-2-2-2-2-22-2-222-21111-1-1000022000000001111-1-1-1-11-111-1-102-20000000000-110
χ4522-2-2222-2002-22-2-2-2202-2-22-22-20000002-22-222−2−200000002-2000000002−22-22-2000022−2−222−2−20000000000000002−22−2000
χ4622-2-2222-2002-22-2-2-2202-2-22-22-20000002-22-2−2−22200000002-200000000−222-22-20000−2−222−2−222000000000000000−22−22000
χ4722-2-2222-2002-22-2-2-2202-2-22-22-2000000-22-2222−2−200000002-2000000002−2-22-22000022−2−222−2−2000000000000000−22−22000
χ4822-2-2222-2002-22-2-2-2202-2-22-22-2000000-22-22−2−22200000002-200000000−22-22-220000−2−222−2−2220000000000000002−22−2000
χ4922-2-222-22002-22-2-2-2202-2-2-22-220000002-2-2222−2−20000000-2200000000−222-2-22000022−2−2−2−2220000000000000002−2−22000
χ5022-2-222-22002-22-2-2-2202-2-2-22-220000002-2-22−2−2220000000-22000000002−22-2-220000−2−22222−2−2000000000000000−222−2000
χ5122-2-222-22002-22-2-2-2202-2-2-22-22000000-222-222−2−20000000-2200000000−22-222-2000022−2−2−2−222000000000000000−222−2000
χ5222-2-222-22002-22-2-2-2202-2-2-22-22000000-222-2−2−2220000000-22000000002−2-222-20000−2−22222−2−20000000000000002−2−22000
χ532-22-22200-22-22-22-2-220-2-2200002-2002-200002i−2i2i−2i000000000002-2002i−2i0000002i−2i2i−2i2i−2i2i−2i000000000000000002-20000000
χ542-22-22200-22-22-22-2-220-2-2200002-2002-200002i−2i2i−2i000000000002-200−2i2i000000−2i2i−2i2i2i−2i2i−2i00000000000000000-220000000
χ552-22-22200-22-22-22-2-220-2-2200002-2002-20000−2i2i−2i2i000000000002-2002i−2i0000002i−2i2i−2i−2i2i−2i2i00000000000000000-220000000
χ562-22-22200-22-22-22-2-220-2-2200002-2002-20000−2i2i−2i2i000000000002-200−2i2i000000−2i2i−2i2i−2i2i−2i2i000000000000000002-20000000
χ574444-2444-4-4-2-244-24-2-4-2-2-2-2-244-4-4222200000000000000-4-2-2222200000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-244-24-24-2-2-222-4-4-4-4-2-22200000000000000422-2-22200000000000000000000000000000000000000000000
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
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-22222220000000000−2i32i3−2i32i3211-1-1-1-1000000000000000000000000i3−i3i3−i30000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-2-2-222222200000000002i3−2i32i3−2i3211-1-1-1-1000000000000000000000000−i3i3−i3i30000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-41112222-2-222-2-2000000004-4-2-2222-1-1-1-1110000000000000000000000-2211-1-10000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-41112222-2-222-2-200000000-4422-2-22-1-1-1-11100000000000000000000002-2-1-1110000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-214111222222-2-2220000000000−2i32i32i3−2i3-2-1-111-1-1000000000000000000000000i3−i3−i3i30000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-214111222222-2-22200000000002i3−2i3−2i32i3-2-1-111-1-1000000000000000000000000−i3i3i3−i30000000000000000
χ6744-4-44-24-4004-4-22-42-20-2224-4-220000004-44-400000000000-220000000000-22-220000000000000000000000000000000000
χ6844-4-44-24-4004-4-22-42-20-2224-4-22000000-44-4400000000000-2200000000002-22-20000000000000000000000000000000000
χ6944-4-44-2-44004-4-22-42-20-222-442-20000004-4-44000000000002-20000000000-222-20000000000000000000000000000000000
χ7044-4-44-2-44004-4-22-42-20-222-442-2000000-444-4000000000002-200000000002-2-220000000000000000000000000000000000
χ7144-4-4-244-400-224-42-4-20-222-224-400000000002222−22−220000000-220000000022−2200000000−2−222−2−2220000000000000000000000
χ7244-4-4-244-400-224-42-4-20-222-224-40000000000−22−2222220000000-2200000000−22220000000022−2−222−2−20000000000000000000000
χ7344-4-4-24-4400-224-42-4-20-2222-2-4400000000002222−22−2200000002-200000000−222200000000−2−22222−2−20000000000000000000000
χ7444-4-4-24-4400-224-42-4-20-2222-2-440000000000−22−22222200000002-20000000022−220000000022−2−2−2−2220000000000000000000000
χ754-44-444004-4-44-44-4-440-4-440000-4400-440000000000000000000-4400000000000000000000000000000000000000000000
χ764-44-44-2004-4-442-2-42-2022-200002-200-4400000000000000000002-2000000000023−23−2323000000000000000000000000000000
χ774-44-44-2004-4-442-2-42-2022-200002-200-4400000000000000000002-20000000000−232323−23000000000000000000000000000000
χ784-44-44-200-44-442-2-42-2022-20000-22004-40000000000000000000-22004i−4i000000−2i2i−2i2i000000000000000000000000000000
χ794-44-44-200-44-442-2-42-2022-20000-22004-40000000000000000000-2200−4i4i0000002i−2i2i−2i000000000000000000000000000000
χ804-44-4-24004-42-2-442-4-2022-20000-44002-200000000000000000002-200000000000000000023−2323−230000000000000000000000
χ814-44-4-24004-42-2-442-4-2022-20000-44002-200000000000000000002-2000000000000000000−2323−23230000000000000000000000
χ824-44-4-2400-442-2-442-4-2022-200004-400-2200004i−4i4i−4i00000000000-2200000000000000−2i2i−2i2i00000000000000000000000000
χ834-44-4-2400-442-2-442-4-2022-200004-400-220000−4i4i−4i4i00000000000-22000000000000002i−2i2i−2i00000000000000000000000000
χ844-4-44440000-4-4-4-44440-44-400000000000000−2i22i22i2−2i2000000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ854-4-44440000-4-4-4-44440-44-4000000000000002i2−2i2−2i22i20000000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ864-4-44-24000022-4-4-24-202-22000000−2i32i3000000−2i22i22i2−2i2000000000−2i32i30000000000000000i2−i2−i2i26−6−660000000000000000000000
χ874-4-44-24000022-4-4-24-202-22000000−2i32i30000002i2−2i2−2i22i2000000000−2i32i30000000000000000−i2i2i2−i2−666−60000000000000000000000
χ884-4-44-24000022-4-4-24-202-220000002i3−2i3000000−2i22i22i2−2i20000000002i3−2i30000000000000000i2−i2−i2i2−666−60000000000000000000000
χ894-4-44-24000022-4-4-24-202-220000002i3−2i30000002i2−2i2−2i22i20000000002i3−2i30000000000000000−i2i2i2−i26−6−660000000000000000000000
χ9088-8-8-4-48-800-44-4444202-2-2-44-440000000000000000000002-2000000000000000000000000000000000000000000000000
χ9188-8-8-4-4-8800-44-4444202-2-24-44-4000000000000000000000-22000000000000000000000000000000000000000000000000
χ928-88-8-4-4008-84-44-44420-2-2200004-4004-40000000000000000000-2200000000000000000000000000000000000000000000
χ938-88-8-4-400-884-44-44420-2-220000-4400-4400000000000000000002-200000000000000000000000000000000000000000000
χ948-8-888-40000-8-8448-4-404-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400004444-4-420-22-2000000−4i34i300000000000000000002i3−2i30000000000000000000000000000000000000000000000
χ968-8-88-4-400004444-4-420-22-20000004i3−4i30000000000000000000−2i32i30000000000000000000000000000000000000000000000

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