Finite Group Databasebeta

← Group #11895638

Character table — Group #11895638

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order122233444466666634666121212121212121212124444888824661212121212121212124444881212121212121212242424242424242466612121224466121244888812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1
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
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111
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
χ61111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111-111-111-1-1-1-1111111111111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11
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
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1
χ9111111-1-1111111111-111111-1-1-1-1-1-11111-1-111111-111-1-1-1-1-1-1-111-1111-1-1-1-11111111111-1-1-1-1111-1-1-1-1-11-1-11-11111-1-11-1-1
χ10111111-1-1111111111-111111-1-1-1-1-1-11111-1-11111-11-1-111-1-1-1-1-111-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111111-1111-1-1-111-1-1-111
χ11111111-1-1111111111-111111-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-11111111-1-1-1-11-1-1-11-1-1-1-1-111-111
χ12111111-1-1111111111-111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-1-111-1-1-1111-1-111-1-1-1-1-1-1-1-11111-1-1-11111-11111-111-1-1111-1-1
χ13111111-1-1111111111-111111-1-1-1-1-1-111-1-11111111-111-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-11-1111-11-1-1-1-1111-11
χ14111111-1-1111111111-111111-1-1-1-1-1-111-1-1111111-11-1-111-1-1-1-1-111111-1-1-111-1-111111111-1-1-1-1-1-1-1111-11-1-1-1-1111-1-111-11-1
χ15111111-1-1111111111-111111-1-1-1-1-1-111-1-111-1-1-1-11-111-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-111-111-111111-1-1-11-1
χ16111111-1-1111111111-111111-1-1-1-1-1-111-1-111-1-1-1-1-11-1-111-1-1-1-1-111111-11111-1-11111-1-1-1-11111-1-1-1111-1-11-1-1-11-1-111-1-11-11
χ1722222222-2-22222222-2222-2-222-2-222-2-222220000000000-222-2-2-2-2-200-200222200000000000000000000000-2-2000000000
χ1822222222-2-22222222-2222-2-222-2-222-2-2-2-2-2-20000000000-222-2-2-2-2200200-2-2-2-20000000000000000000000022000000000
χ19222222-2-2-2-222222222222-2-2-2-222-2-2-2-222-2-200000000002-2-222-2-2200-200-2-22200000000000000000000000-22000000000
χ20222222-2-2-2-222222222222-2-2-2-222-2-2-2-2-2-22200000000002-2-222-2-2-20020022-2-2000000000000000000000002-2000000000
χ2122222-122222-122-1-1-12-1-1-1-1-12222-1-1222222000022-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-1-1-1-1-1000000002-1-12-1-1200-1-1-1-1000000000
χ2222222-122222-122-1-1-12-1-1-1-1-12222-1-12222220000-2-21111-1-1-1-1-1-1-12-2-2200-1-1-1-1111100000000-211-211-20011-1-1000000000
χ2322222-122222-122-1-1-12-1-1-1-1-12222-1-122-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20011111111000000002-1-12-1-1-2001111000000000
χ2422222-122222-122-1-1-12-1-1-1-1-12222-1-122-2-2-2-20000-2-21111-1-1-1-1-1-1-1-222-2001111-1-1-1-100000000-211-211200-1-111000000000
χ2522222-122-2-22-122-1-1-1-2-1-1-11122-2-2-1-1-2-22222000000−i3i3−i3i31-1-11111-200-200-1-1-1-1−i3−i3i3i3000000000−i3i30−i3i3000−i3i311000000000
χ2622222-122-2-22-122-1-1-1-2-1-1-11122-2-2-1-1-2-22222000000i3−i3i3−i31-1-11111-200-200-1-1-1-1i3i3−i3−i3000000000i3−i30i3−i3000i3−i311000000000
χ2722222-122-2-22-122-1-1-1-2-1-1-11122-2-2-1-1-2-2-2-2-2-2000000−i3i3−i3i31-1-111112002001111i3i3−i3−i3000000000−i3i30−i3i3000i3−i3-1-1000000000
χ2822222-122-2-22-122-1-1-1-2-1-1-11122-2-2-1-1-2-2-2-2-2-2000000i3−i3i3−i31-1-111112002001111−i3−i3i3i3000000000i3−i30i3−i3000−i3i3-1-1000000000
χ2922222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-2-2-2112222-2-200002-2-1-11111111-1-1-22220011-1-1-1-1-1-1000000002-1-1-211-20011-11000000000
χ3022222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-2-2-2112222-2-20000-2211-1-111111-1-1-2-2-220011-1-1111100000000-2112-1-1200-1-1-11000000000
χ3122222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-2-2-21122-2-22200002-2-1-11111111-1-12-2-2-200-1-1111111000000002-1-1-211200-1-11-1000000000
χ3222222-1-2-2222-122-1-1-1-2-1-1-1-1-1-2-2-2-21122-2-2220000-2211-1-111111-1-1222-200-1-111-1-1-1-100000000-2112-1-1-200111-1000000000
χ3322222-1-2-2-2-22-122-1-1-12-1-1-111-2-22211-2-222-2-2000000−i3i3i3−i3-111-1-111200-20011-1-1−i3−i3i3i3000000000−i3i30i3−i3000i3−i31-1000000000
χ3422222-1-2-2-2-22-122-1-1-12-1-1-111-2-22211-2-222-2-2000000i3−i3−i3i3-111-1-111200-20011-1-1i3i3−i3−i3000000000i3−i30−i3i3000−i3i31-1000000000
χ3522222-1-2-2-2-22-122-1-1-12-1-1-111-2-22211-2-2-2-222000000−i3i3i3−i3-111-1-111-200200-1-111i3i3−i3−i3000000000−i3i30i3−i3000−i3i3-11000000000
χ3622222-1-2-2-2-22-122-1-1-12-1-1-111-2-22211-2-2-2-222000000i3−i3−i3i3-111-1-111-200200-1-111−i3−i3i3i3000000000i3−i30−i3i3000i3−i3-11000000000
χ372222-122222-12-1-122-12-1-1-122-1-1-1-122-1-1000022222222222-1-1-1-1-1-100002200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-10220000000000-1-10
χ382222-122222-12-1-122-12-1-1-122-1-1-1-122-1-100002222-2-2-2-2-2-22-1-1-1-1-1-100002200000000-1-1-1-1-1-1-1-11111110-2-20000000000110
χ392222-122222-12-1-122-12-1-1-122-1-1-1-122-1-10000-2-2-2-22222222-1-1-1-1-1-10000-2-20000000011111111-1-1-1-1-1-10-2-20000000000110
χ402222-122222-12-1-122-12-1-1-122-1-1-1-122-1-10000-2-2-2-2-2-2-2-2-2-22-1-1-1-1-1-10000-2-200000000111111111111110220000000000-1-10
χ412222-12-2-222-12-1-122-1-2-1-1-1221111-2-2-1-1000022222-222-2-2-21111-1-10000-2-200000000-1-1-1-11111-1-1-11110-220000000000-110
χ422222-12-2-222-12-1-122-1-2-1-1-1221111-2-2-1-100002222-22-2-222-21111-1-10000-2-200000000-1-1-1-11111111-1-1-102-200000000001-10
χ432222-12-2-222-12-1-122-1-2-1-1-1221111-2-2-1-10000-2-2-2-22-222-2-2-21111-1-1000022000000001111-1-1-1-1-1-1-111102-200000000001-10
χ442222-12-2-222-12-1-122-1-2-1-1-1221111-2-2-1-10000-2-2-2-2-22-2-222-21111-1-1000022000000001111-1-1-1-1111-1-1-10-220000000000-110
χ452-22-22200-2222-2-2-2-220-2-222-20000002-200002i2i−2i−2i000000000002-202i−2i00000002i−2i2i−2i2i2i−2i−2i000000000000000002-20000000
χ462-22-22200-2222-2-2-2-220-2-222-20000002-200002i2i−2i−2i000000000002-20−2i2i0000000−2i2i−2i2i2i2i−2i−2i00000000000000000-220000000
χ472-22-22200-2222-2-2-2-220-2-222-20000002-20000−2i−2i2i2i000000000002-202i−2i00000002i−2i2i−2i−2i−2i2i2i00000000000000000-220000000
χ482-22-22200-2222-2-2-2-220-2-222-20000002-20000−2i−2i2i2i000000000002-20−2i2i0000000−2i2i−2i2i−2i−2i2i2i000000000000000002-20000000
χ492-2-22222i−2i00-2-22-22-2202-2-2002i−2i002i−2i002i−2i2-22−22−200000002i−2i00000000−i2i22-22i−2i00002−22−2−i2−i2i2i2000000000000000−i2i22−2000
χ502-2-22222i−2i00-2-22-22-2202-2-2002i−2i002i−2i002i−2i2-2−22−2200000002i−2i00000000i2−i22-22i−2i0000−22−22i2i2−i2−i2000000000000000i2−i2−22000
χ512-2-22222i−2i00-2-22-22-2202-2-2002i−2i002i−2i00−2i2i-222−22−200000002i−2i00000000−i2i2-22−2i2i00002−22−2−i2−i2i2i2000000000000000i2−i2−22000
χ522-2-22222i−2i00-2-22-22-2202-2-2002i−2i002i−2i00−2i2i-22−22−2200000002i−2i00000000i2−i2-22−2i2i0000−22−22i2i2−i2−i2000000000000000−i2i22−2000
χ532-2-2222−2i2i00-2-22-22-2202-2-200−2i2i00−2i2i002i−2i-222−22−20000000−2i2i00000000i2−i2-222i−2i00002−22−2i2i2−i2−i2000000000000000−i2i2−22000
χ542-2-2222−2i2i00-2-22-22-2202-2-200−2i2i00−2i2i002i−2i-22−22−220000000−2i2i00000000−i2i2-222i−2i0000−22−22−i2−i2i2i2000000000000000i2−i22−2000
χ552-2-2222−2i2i00-2-22-22-2202-2-200−2i2i00−2i2i00−2i2i2-22−22−20000000−2i2i00000000i2−i22-2−2i2i00002−22−2i2i2−i2−i2000000000000000i2−i22−2000
χ562-2-2222−2i2i00-2-22-22-2202-2-200−2i2i00−2i2i00−2i2i2-2−22−220000000−2i2i00000000−i2i22-2−2i2i0000−22−22−i2−i2i2i2000000000000000−i2i2−22000
χ574444-2444-4-4-24-2-244-2-4-2-2-2-4-4-2-222442200000000000000-4-2-2222200000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-2-244-24-2-2-2-4-422-2-2-4-42200000000000000422-2-22200000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-2-21111110000000000000000000000-211-2110000000000000000
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-200000000-4-42222-211111100000000000000000000002-1-12-1-10000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-411122-2-222-2-2220000000000−2i32i3−2i32i3211-1-1-1-100000000000000000000000i3−i30i3−i30000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-411122-2-222-2-22200000000002i3−2i32i3−2i3211-1-1-1-100000000000000000000000−i3i30−i3i30000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4111-2-2222222-2-2000000004-4-2-2222-1-1-1-1110000000000000000000000-2112-1-10000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4111-2-2222222-2-200000000-4422-2-22-1-1-1-11100000000000000000000002-1-1-2110000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-222220000000000−2i32i32i3−2i3-2-1-111-1-100000000000000000000000i3−i30−i3i30000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-2222200000000002i3−2i3−2i32i3-2-1-111-1-100000000000000000000000−i3i30i3−i30000000000000000
χ6744-4-4440000-4-4-44-4440-44-400000000000000−2i22i22i2−2i2000000000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ6844-4-4440000-4-4-44-4440-44-4000000000000002i2−2i2−2i22i20000000000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ6944-4-4-2400002-42-2-44-202-22000023−2300000000−2i22i22i2−2i200000000023−230000000000000000i2−i2−i2i2i6−i6i6−i60000000000000000000000
χ7044-4-4-2400002-42-2-44-202-22000023−23000000002i2−2i2−2i22i200000000023−230000000000000000−i2i2i2−i2−i6i6−i6i60000000000000000000000
χ7144-4-4-2400002-42-2-44-202-220000−232300000000−2i22i22i2−2i2000000000−23230000000000000000i2−i2−i2i2−i6i6−i6i60000000000000000000000
χ7244-4-4-2400002-42-2-44-202-220000−2323000000002i2−2i2−2i22i2000000000−23230000000000000000−i2i2i2−i2i6−i6i6−i60000000000000000000000
χ734-44-444004-444-4-4-4-440-4-44-44000000-440000000000000000000-4400000000000000000000000000000000000000000000
χ744-44-44-2004-44-2-4-422-2022-22-2000000-4400000000000000000002-2000000000023−23−2323000000000000000000000000000000
χ754-44-44-2004-44-2-4-422-2022-22-2000000-4400000000000000000002-20000000000−232323−23000000000000000000000000000000
χ764-44-44-200-444-2-4-422-2022-2-220000004-40000000000000000000-2204i−4i0000000−2i2i−2i2i000000000000000000000000000000
χ774-44-44-200-444-2-4-422-2022-2-220000004-40000000000000000000-220−4i4i00000002i−2i2i−2i000000000000000000000000000000
χ784-44-4-24004-4-2422-4-4-2022-2-440000002-200000000000000000002-200000000000000000023−23−23230000000000000000000000
χ794-44-4-24004-4-2422-4-4-2022-2-440000002-200000000000000000002-2000000000000000000−232323−230000000000000000000000
χ804-44-4-2400-44-2422-4-4-2022-24-4000000-2200004i4i−4i−4i00000000000-2200000000000000−2i−2i2i2i00000000000000000000000000
χ814-44-4-2400-44-2422-4-4-2022-24-4000000-220000−4i−4i4i4i00000000000-22000000000000002i2i−2i−2i00000000000000000000000000
χ824-4-444-24i−4i00-424-4-22-20-222004i−4i00−2i2i004i−4i4-400000000000−2i2i0000000000-22−2i2i0000000000000000000000000000000000
χ834-4-444-24i−4i00-424-4-22-20-222004i−4i00−2i2i00−4i4i-4400000000000−2i2i00000000002-22i−2i0000000000000000000000000000000000
χ844-4-444-2−4i4i00-424-4-22-20-22200−4i4i002i−2i004i−4i-44000000000002i−2i00000000002-2−2i2i0000000000000000000000000000000000
χ854-4-444-2−4i4i00-424-4-22-20-22200−4i4i002i−2i00−4i4i4-4000000000002i−2i0000000000-222i−2i0000000000000000000000000000000000
χ864-4-44-244i−4i002-4-224-4-20-22200−2i2i004i−4i00000022−2222−220000000−2i2i00000000−2i22i200000000−22−22i2i2−i2−i20000000000000000000000
χ874-4-44-244i−4i002-4-224-4-20-22200−2i2i004i−4i000000−2222−22220000000−2i2i000000002i2−2i2000000002−22−2−i2−i2i2i20000000000000000000000
χ884-4-44-24−4i4i002-4-224-4-20-222002i−2i00−4i4i00000022−2222−2200000002i−2i000000002i2−2i200000000−22−22−i2−i2i2i20000000000000000000000
χ894-4-44-24−4i4i002-4-224-4-20-222002i−2i00−4i4i000000−2222−222200000002i−2i00000000−2i22i2000000002−22−2i2i2−i2−i20000000000000000000000
χ9088-8-88-40000-84-884-4-404-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-40000444-44-420-22-2000043−43000000000000000000000−23230000000000000000000000000000000000000000000000
χ9288-8-8-4-40000444-44-420-22-20000−434300000000000000000000023−230000000000000000000000000000000000000000000000
χ938-88-8-4-4008-8-4-4444420-2-224-40000004-40000000000000000000-2200000000000000000000000000000000000000000000
χ948-88-8-4-400-88-4-4444420-2-22-44000000-4400000000000000000002-200000000000000000000000000000000000000000000
χ958-8-88-4-48i−8i0044-44-44202-2-200−4i4i00−4i4i000000000000000002i−2i000000000000000000000000000000000000000000000000
χ968-8-88-4-4−8i8i0044-44-44202-2-2004i−4i004i−4i00000000000000000−2i2i000000000000000000000000000000000000000000000000

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