Finite Group Databasebeta

← Group #11887574

Character table — Group #11887574

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222224444444444444446666666688888888888881212121212121212121212121212121212121212121216161616161624242424242424363636363636484872
order122233444466666634666121212121212121212122222888844121212121212121212121244446666881212121224242424242424241212121212124441212121244888812122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-11-1-1-1-111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1
χ311111111111111111111111111111111111-1-1-1-1111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-11-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111
χ51111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-111-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111-1-1-1-11111-1-11-1-1-1-1111111-1-111-1-1-1-111111111111111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11
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
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1
χ9111111-1-1111111111-1111-1-1-1-1-1-1111111-1-111111-1-111-1-1-1-1-1-1111-11111-1-1-1-111111111-1-1-1-11-111-1-1-11-1-1-11-11111-1-11-1-1
χ10111111-1-1111111111-1111-1-1-1-1-1-1111111-1-11111-11-1-1-111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1111-11111-1-1-111-1-1-111
χ11111111-1-1111111111-1111-1-1-1-1-1-1111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1111-11111-1-1111111-1-1-1-111111-111-1-1-1-11-1-11-1-1-1-1-111-111
χ12111111-1-1111111111-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-111-1-1-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-11111-11-1-11111-1111-111-1-1111-1-1
χ13111111-1-1111111111-1111-1-1-1-1-1-11111-1-11111111-1-111-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-111-1-111-111-11-1-1-1-1111-11
χ14111111-1-1111111111-1111-1-1-1-1-1-11111-1-1111111-11-1-1-111-1-1-1-111-1111-1-111-1-111111111-1-1-1-1-11-1-111-1-11-1-1-1111-1-111-11-1
χ15111111-1-1111111111-1111-1-1-1-1-1-11111-1-111-1-1-1-11-1-111-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-11-1111-111111-1-1-11-1
χ16111111-1-1111111111-1111-1-1-1-1-1-11111-1-111-1-1-1-1-11-1-1-111-1-1-1-111-1111-1-111111111-1-1-1-11111-11-1-111-11-1-1-1-11-1-111-1-11-11
χ1722222222-2-22222222-222222-2-222-2-2-2-22222000000-2000022-2-2-2-2-2-20022220000000000000000000000000-2-2000000000
χ1822222222-2-22222222-222222-2-222-2-2-2-2-2-2-2-2000000-2000022-2-2-2-22200-2-2-2-2000000000000000000000000022000000000
χ19222222-2-2-2-222222222222-2-222-2-2-2-2-2-222-2-200000020000-2-222-2-2-220022-2-20000000000000000000000000-22000000000
χ20222222-2-2-2-222222222222-2-222-2-2-2-2-2-2-2-22200000020000-2-222-2-22-200-2-22200000000000000000000000002-2000000000
χ2122222-122222-12-12-1-12-1-1-1-1-12222-1-1222222000022-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100-1-1-1-10000000022-1-1-1-1200-1-1-1-1000000000
χ2222222-122222-12-12-1-12-1-1-1-1-12222-1-12222220000-2-2-11111-1-1-1-1-1-122-2-2-1-1-1-100111100000000-2-21111-20011-1-1000000000
χ2322222-122222-12-12-1-12-1-1-1-1-12222-1-122-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211110011110000000022-1-1-1-1-2001111000000000
χ2422222-122222-12-12-1-12-1-1-1-1-12222-1-122-2-2-2-20000-2-2-11111-1-1-1-1-1-1-2-222111100-1-1-1-100000000-2-21111200-1-111000000000
χ2522222-122-2-22-12-12-1-1-2-1-1-1-1-1-2-22211-2-222220000001−i3i3−i3i3-1-11111-2-200-1-1-1-100−i3−i3i3i30000000000−i3i3−i3i3000−i3i311000000000
χ2622222-122-2-22-12-12-1-1-2-1-1-1-1-1-2-22211-2-222220000001i3−i3i3−i3-1-11111-2-200-1-1-1-100i3i3−i3−i30000000000i3−i3i3−i3000i3−i311000000000
χ2722222-122-2-22-12-12-1-1-2-1-1-1-1-1-2-22211-2-2-2-2-2-20000001−i3i3−i3i3-1-111112200111100i3i3−i3−i30000000000−i3i3−i3i3000i3−i3-1-1000000000
χ2822222-122-2-22-12-12-1-1-2-1-1-1-1-1-2-22211-2-2-2-2-2-20000001i3−i3i3−i3-1-111112200111100−i3−i3i3i30000000000i3−i3i3−i3000−i3i3-1-1000000000
χ2922222-1-2-2222-12-12-1-1-2-1-1-111-2-2-2-2-1-12222-2-200002-21-1-1111111-1-12-222-1-11100-1-1-1-1000000002-2-1-111-20011-11000000000
χ3022222-1-2-2222-12-12-1-1-2-1-1-111-2-2-2-2-1-12222-2-20000-22111-1-11111-1-12-2-2-2-1-11100111100000000-2211-1-1200-1-1-11000000000
χ3122222-1-2-2222-12-12-1-1-2-1-1-111-2-2-2-2-1-122-2-22200002-21-1-1111111-1-1-22-2-211-1-1001111000000002-2-1-111200-1-11-1000000000
χ3222222-1-2-2222-12-12-1-1-2-1-1-111-2-2-2-2-1-122-2-2220000-22111-1-11111-1-1-222211-1-100-1-1-1-100000000-2211-1-1-200111-1000000000
χ3322222-1-2-2-2-22-12-12-1-12-1-1-11122-2-211-2-222-2-2000000-1−i3i3i3−i311-1-111-2200-1-11100−i3−i3i3i30000000000−i3i3i3−i3000i3−i31-1000000000
χ3422222-1-2-2-2-22-12-12-1-12-1-1-11122-2-211-2-222-2-2000000-1i3−i3−i3i311-1-111-2200-1-11100i3i3−i3−i30000000000i3−i3−i3i3000−i3i31-1000000000
χ3522222-1-2-2-2-22-12-12-1-12-1-1-11122-2-211-2-2-2-222000000-1−i3i3i3−i311-1-1112-20011-1-100i3i3−i3−i30000000000−i3i3i3−i3000−i3i3-11000000000
χ3622222-1-2-2-2-22-12-12-1-12-1-1-11122-2-211-2-2-2-222000000-1i3−i3−i3i311-1-1112-20011-1-100−i3−i3i3i30000000000i3−i3−i3i3000i3−i3-11000000000
χ372222-122222-12-12-12-12-1-1-122-1-1-1-122-1-1000022222222222-1-1-1-1-1-100000000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-10220000000000-1-10
χ382222-122222-12-12-12-12-1-1-122-1-1-1-122-1-100002222-2-22-2-2-2-2-1-1-1-1-1-100000000220000-1-1-1-1-1-1-1-11111110-2-20000000000110
χ392222-122222-12-12-12-12-1-1-122-1-1-1-122-1-10000-2-2-2-22222222-1-1-1-1-1-100000000-2-2000011111111-1-1-1-1-1-10-2-20000000000110
χ402222-122222-12-12-12-12-1-1-122-1-1-1-122-1-10000-2-2-2-2-2-22-2-2-2-2-1-1-1-1-1-100000000-2-20000111111111111110220000000000-1-10
χ412222-12-2-222-12-12-12-1-2-1-1-1-2-2111122-1-1000022222-2-222-2-21111-1-100000000-2-20000-1-1-1-11111-11-1-11102-20000000000-110
χ422222-12-2-222-12-12-12-1-2-1-1-1-2-2111122-1-100002222-22-2-2-2221111-1-100000000-2-20000-1-1-1-111111-111-1-10-2200000000001-10
χ432222-12-2-222-12-12-12-1-2-1-1-1-2-2111122-1-10000-2-2-2-22-2-222-2-21111-1-1000000002200001111-1-1-1-1-11-1-1110-2200000000001-10
χ442222-12-2-222-12-12-12-1-2-1-1-1-2-2111122-1-10000-2-2-2-2-22-2-2-2221111-1-1000000002200001111-1-1-1-11-111-1-102-20000000000-110
χ452-22-222002-2-2-22-2-2220-2-220000002-22-200002i2i−2i−2i000000000002-2002-20000002-22-22i2i−2i−2i000000000000000002i−2i0000000
χ462-22-222002-2-2-22-2-2220-2-220000002-22-200002i2i−2i−2i000000000002-200-22000000-22-222i2i−2i−2i00000000000000000−2i2i0000000
χ472-22-222002-2-2-22-2-2220-2-220000002-22-20000−2i−2i2i2i000000000002-2002-20000002-22-2−2i−2i2i2i00000000000000000−2i2i0000000
χ482-22-222002-2-2-22-2-2220-2-220000002-22-20000−2i−2i2i2i000000000002-200-22000000-22-22−2i−2i2i2i000000000000000002i−2i0000000
χ492-2-22222-200-22-2-22-2202-2-22-2002-200002-22-2−i2i2−i2i200000002-2000000002-22-2−i2i20000−i2i2−i2i2−i2−i2i2i2000000000000000−i2i2−i2i2000
χ502-2-22222-200-22-2-22-2202-2-22-2002-200002-22-2i2−i2i2−i200000002-2000000002-22-2i2−i20000i2−i2i2−i2i2i2−i2−i2000000000000000i2−i2i2−i2000
χ512-2-22222-200-22-2-22-2202-2-22-2002-20000-22-22−i2i2−i2i200000002-200000000-22-22−i2i20000−i2i2−i2i2−i2−i2i2i2000000000000000i2−i2i2−i2000
χ522-2-22222-200-22-2-22-2202-2-22-2002-20000-22-22i2−i2i2−i200000002-200000000-22-22i2−i20000i2−i2i2−i2i2i2−i2−i2000000000000000−i2i2−i2i2000
χ532-2-2222-2200-22-2-22-2202-2-2-2200-2200002-2-22−i2i2−i2i20000000-22000000002-2-22i2−i20000−i2i2−i2i2i2i2−i2−i2000000000000000−i2i2i2−i2000
χ542-2-2222-2200-22-2-22-2202-2-2-2200-2200002-2-22i2−i2i2−i20000000-22000000002-2-22−i2i20000i2−i2i2−i2−i2−i2i2i2000000000000000i2−i2−i2i2000
χ552-2-2222-2200-22-2-22-2202-2-2-2200-220000-222-2−i2i2−i2i20000000-2200000000-222-2i2−i20000−i2i2−i2i2i2i2−i2−i2000000000000000i2−i2−i2i2000
χ562-2-2222-2200-22-2-22-2202-2-2-2200-220000-222-2i2−i2i2−i20000000-2200000000-222-2−i2i20000i2−i2i2−i2−i2−i2i2i2000000000000000−i2i2i2−i2000
χ574444-2444-4-4-24-24-24-2-4-2-2-24422-2-2-4-4220000000000-40000-2-2222200000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-24-24-24-24-2-2-2-4-4-2-222-4-42200000000004000022-2-22200000000000000000000000000000000000000000000
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
χ604444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-200000000-4-4-22222111111000000000000000000000022-1-1-1-10000000000000000
χ614444-2-244-4-4-2-2-2-2-2-21-4111-2-222-2-2222200000000002−2i32i3−2i32i311-1-1-1-1000000000000000000000000i3−i3i3−i30000000000000000
χ624444-2-244-4-4-2-2-2-2-2-21-4111-2-222-2-22222000000000022i3−2i32i3−2i311-1-1-1-1000000000000000000000000−i3i3−i3i30000000000000000
χ634444-2-2-4-444-2-2-2-2-2-21-4111222222-2-2-2-2000000004-42-2-222-1-1-1-1110000000000000000000000-2211-1-10000000000000000
χ644444-2-2-4-444-2-2-2-2-2-21-4111222222-2-2-2-200000000-44222-2-2-1-1-1-11100000000000000000000002-2-1-1110000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-22222220000000000-2−2i32i32i3−2i3-1-111-1-1000000000000000000000000i3−i3−i3i30000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-21411122-2-22222220000000000-22i3−2i3−2i32i3-1-111-1-1000000000000000000000000−i3i3i3−i30000000000000000
χ6744-4-44400004-4-44-4-440-44-40000000000000022−22−222200000000000000000000000000022−22−222200000000000000000000000000
χ6844-4-44400004-4-44-4-440-44-400000000000000−222222−22000000000000000000000000000−222222−2200000000000000000000000000
χ6944-4-4-240000-2-4242-4-202-2200−2i32i3000000000022−22−2222000000000−2i32i30000000000000000−222−2i6−i6i6−i60000000000000000000000
χ7044-4-4-240000-2-4242-4-202-2200−2i32i30000000000−222222−22000000000−2i32i300000000000000002−2−22−i6i6−i6i60000000000000000000000
χ7144-4-4-240000-2-4242-4-202-22002i3−2i3000000000022−22−22220000000002i3−2i30000000000000000−222−2−i6i6−i6i60000000000000000000000
χ7244-4-4-240000-2-4242-4-202-22002i3−2i30000000000−222222−220000000002i3−2i300000000000000002−2−22i6−i6i6−i60000000000000000000000
χ734-44-44400-44-4-44-4-4440-4-44000000-44-440000000000000000000-4400000000000000000000000000000000000000000000
χ744-44-44-2004-4-4242-4-2-2022-2000000-224-40000000000000000000-22004-4000000-22-22000000000000000000000000000000
χ754-44-44-2004-4-4242-4-2-2022-2000000-224-40000000000000000000-2200-440000002-22-2000000000000000000000000000000
χ764-44-44-200-44-4242-4-2-2022-20000002-2-4400000000000000000002-20000000000−2i32i32i3−2i3000000000000000000000000000000
χ774-44-44-200-44-4242-4-2-2022-20000002-2-4400000000000000000002-200000000002i3−2i3−2i32i3000000000000000000000000000000
χ784-44-4-24004-42-4-2-424-2022-20000004-4-2200004i4i−4i−4i00000000000-2200000000000000−2i−2i2i2i00000000000000000000000000
χ794-44-4-24004-42-4-2-424-2022-20000004-4-220000−4i−4i4i4i00000000000-22000000000000002i2i−2i−2i00000000000000000000000000
χ804-44-4-2400-442-4-2-424-2022-2000000-442-200000000000000000002-200000000000000000023−23−23230000000000000000000000
χ814-44-4-2400-442-4-2-424-2022-2000000-442-200000000000000000002-2000000000000000000−232323−230000000000000000000000
χ824-4-444-24-400-4-2-4242-20-222-22004-400004-44-400000000000-2200000000-22-22000000000000000000000000000000000000
χ834-4-444-24-400-4-2-4242-20-222-22004-40000-44-4400000000000-22000000002-22-2000000000000000000000000000000000000
χ844-4-444-2-4400-4-2-4242-20-2222-200-4400004-4-44000000000002-200000000-222-2000000000000000000000000000000000000
χ854-4-444-2-4400-4-2-4242-20-2222-200-440000-444-4000000000002-2000000002-2-22000000000000000000000000000000000000
χ864-4-44-244-400242-4-2-4-20-2224-400-2200000000−2i22i2−2i22i20000000-22000000000000−2i22i20000i2−i2i2−i2i2i2−i2−i20000000000000000000000
χ874-4-44-244-400242-4-2-4-20-2224-400-22000000002i2−2i22i2−2i20000000-220000000000002i2−2i20000−i2i2−i2i2−i2−i2i2i20000000000000000000000
χ884-4-44-24-4400242-4-2-4-20-222-44002-200000000−2i22i2−2i22i200000002-20000000000002i2−2i20000i2−i2i2−i2−i2−i2i2i20000000000000000000000
χ894-4-44-24-4400242-4-2-4-20-222-44002-2000000002i2−2i22i2−2i200000002-2000000000000−2i22i20000−i2i2−i2i2i2i2−i2−i20000000000000000000000
χ9088-8-88-4000084-8-4-84-404-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-8-4-40000-444-44420-22-200−4i34i3000000000000000000000002i3−2i30000000000000000000000000000000000000000000000
χ9288-8-8-4-40000-444-44420-22-2004i3−4i300000000000000000000000−2i32i30000000000000000000000000000000000000000000000
χ938-88-8-4-4008-844-444-420-2-22000000-44-4400000000000000000002-200000000000000000000000000000000000000000000
χ948-88-8-4-400-8844-444-420-2-220000004-44-40000000000000000000-2200000000000000000000000000000000000000000000
χ958-8-88-4-48-8004-444-44202-2-2-4400-4400000000000000000002-2000000000000000000000000000000000000000000000000
χ968-8-88-4-4-88004-444-44202-2-24-4004-40000000000000000000-22000000000000000000000000000000000000000000000000

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