Finite Group Databasebeta

← Group #11884413

Character table — Group #11884413

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222224444444444444448888888881212121212121212121212121212161616161616161624242424242424242424242424363636363636484872
order1222334444666666236666612121212121212122466612121212448888242424242424242466661212121222466881212242424242224446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111-1-1-1-1-1-11
χ61111111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1111111-1
χ71111111111111111111111111111111-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1
χ81111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111
χ9111111-1-111111111-11-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-111111-1-1111-1-111-1-1
χ10111111-1-111111111-11-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11-1-1-111111-1-1-1-1-111-1-111
χ11111111-1-111111111-11-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1111-1-1-1-1-111-1-1-111-11-11
χ12111111-1-111111111-11-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-111111-1-11-11-1
χ13111111-1-111111111-11-1-11111-1-1-1-1111-11-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11-1-11-111-1-11111-111-1-11-1
χ14111111-1-111111111-11-1-11111-1-1-1-1111-11-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-11-1-1-11-111-1-111-1-11-1-111-11
χ15111111-1-111111111-11-1-11111-1-1-1-1111-11-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-1111-11-1-111-1-1-1-11-1-11-111
χ16111111-1-111111111-11-1-11111-1-1-1-1111-11-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-111-11-1-111-1-111-111-11-1-1
χ1722222222-2-2222222-22-2-2222-22222-2-2-200-2-2-2-2-22200000000000000000000000000000000000002-22-2000
χ1822222222-2-2222222-22-2-2222-22222-2-2-200-2-2-2-2-2220000000000000000000000000000000000000-22-22000
χ19222222-2-2-2-22222222222222-2-2-2-2-2-2-2-200222-2-2-2-2000000000000000000000000000000000000022-2-2000
χ20222222-2-2-2-22222222222222-2-2-2-2-2-2-2-200222-2-2-2-20000000000000000000000000000000000000-2-222000
χ2122222-122222-12-12-12-122-1-1-1222-1-1-1-1222-1-1-1-1-1-1-1220000000000002-1-1-1-12-1-1200-1-122-1-1-1-1-1-1000000000
χ2222222-122222-12-12-12-122-1-1-1222-1-1-1-1222-1-1-1-1-1-1-1-2-20000000000002-1-1-1-12-1-1-20011-2-2111111000000000
χ2322222-122222-12-12-12-122-1-1-1222-1-1-1-12-2-2-1-1-1-1-1-1-122000000000000-21111-211200-1-1-2-2-1-11111000000000
χ2422222-122222-12-12-12-122-1-1-1222-1-1-1-12-2-2-1-1-1-1-1-1-1-2-2000000000000-21111-211-200112211-1-1-1-1000000000
χ2522222-1-2-2222-12-12-1-2-1-2-2-1-1-12-2-211-1-122-2111-1-111220000000000002-1-1-11-211-20011-22-1-1-1-111000000000
χ2622222-1-2-2222-12-12-1-2-1-2-2-1-1-12-2-211-1-122-2111-1-111-2-20000000000002-1-1-11-211200-1-12-21111-1-1000000000
χ2722222-1-2-2222-12-12-1-2-1-2-2-1-1-12-2-211-1-12-22111-1-11122000000000000-2111-12-1-1-200112-2-1-111-1-1000000000
χ2822222-1-2-2222-12-12-1-2-1-2-2-1-1-12-2-211-1-12-22111-1-111-2-2000000000000-2111-12-1-1200-1-1-2211-1-111000000000
χ292222-122222-12-12-122-1-1-1-1-1-1-1-1-12222-1222-1-1-1-1-1-1002222-1-1-1-1-1-1-1-1-12-1-12-1-1-10220000000000000000-1-10
χ302222-122222-12-12-122-1-1-1-1-1-1-1-1-12222-1222-1-1-1-1-1-100-2-2-2-211111111-12-1-12-1-1-10-2-20000000000000000110
χ312222-122222-12-12-122-1-1-1-1-1-1-1-1-12222-1-2-22-1-1-1-1-1-1002222-1-1-1-1-1-1-1-11-211-21110-2-20000000000000000110
χ322222-122222-12-12-122-1-1-1-1-1-1-1-1-12222-1-2-22-1-1-1-1-1-100-2-2-2-2111111111-211-21110220000000000000000-1-10
χ332222-12-2-222-12-12-12-2-111-1-1-1-111-2-222-12-2-211-1-1110022-2-2-1-1-1-11111-12-1-1-211102-20000000000000000-110
χ342222-12-2-222-12-12-12-2-111-1-1-1-111-2-222-12-2-211-1-11100-2-2221111-1-1-1-1-12-1-1-21110-2200000000000000001-10
χ352222-12-2-222-12-12-12-2-111-1-1-1-111-2-222-1-22-211-1-1110022-2-2-1-1-1-111111-2112-1-1-10-2200000000000000001-10
χ362222-12-2-222-12-12-12-2-111-1-1-1-111-2-222-1-22-211-1-11100-2-2221111-1-1-1-11-2112-1-1-102-20000000000000000-110
χ372-2-222200-22-2-22-2-220200-22-2-200002-22000002-2002-22-20022-2-200000000000000000002-200002-20000000
χ382-2-222200-22-2-22-2-220200-22-2-200002-22000002-2002-2-2200-2-22200000000000000000002-20000-220000000
χ392-2-222200-22-2-22-2-220200-22-2-200002-22000002-200-222-20022-2-20000000000000000000-220000-220000000
χ402-2-222200-22-2-22-2-220200-22-2-200002-22000002-200-22-2200-2-2220000000000000000000-2200002-20000000
χ4144444-244-4-44-24-24-2-4-2-4-4-2-2-2-444-2-222-40022222-2-200000000000000000000000000000000000000000000
χ4244444-2-4-4-4-44-24-24-24-244-2-2-2-4-4-42222-400-2-2-2222200000000000000000000000000000000000000000000
χ434444-2444-4-4-24-24-24-4-222-2-2-22-2-244-4-4200-42222-2-200000000000000000000000000000000000000000000
χ444444-24-4-4-4-4-24-24-244-2-2-2-2-2-2222-4-4-4-42004-2-2222200000000000000000000000000000000000000000000
χ454444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-244-211111100000000000000-2-211-2-2110000000000000000000000
χ464444-2-24444-2-2-2-2-2-241-2-2111-2-2-2-2-2-2-2-2-4-4-21111110000000000000022-1-122-1-10000000000000000000000
χ474444-2-244-4-4-2-2-2-2-2-2-41221112-2-2-2-2222002-1-1-1-11100000000000000003-3003-30000000000000000000000
χ484444-2-244-4-4-2-2-2-2-2-2-41221112-2-2-2-2222002-1-1-1-1110000000000000000-3300-330000000000000000000000
χ494444-2-2-4-444-2-2-2-2-2-2-4122111-22222-2-2-24-42-1-111-1-100000000000000-2-21122-1-10000000000000000000000
χ504444-2-2-4-444-2-2-2-2-2-2-4122111-22222-2-2-2-442-1-111-1-10000000000000022-1-1-2-2110000000000000000000000
χ514444-2-2-4-4-4-4-2-2-2-2-2-241-2-21112222222200-211-1-1-1-100000000000000003-300-330000000000000000000000
χ524444-2-2-4-4-4-4-2-2-2-2-2-241-2-21112222222200-211-1-1-1-10000000000000000-33003-30000000000000000000000
χ5344-4-4444i−4i0044-4-4-4-404004-4-404i−4i4i−4i00000000004i−4i00000000000000000000000000000000000000000000
χ5444-4-444−4i4i0044-4-4-4-404004-4-40−4i4i−4i4i0000000000−4i4i00000000000000000000000000000000000000000000
χ5544-4-44-24i−4i004-2-42-420-200-22204i−4i−2i2i0000000000−2i2i00000000000000000000000000000006−6i6−i6000000000
χ5644-4-44-24i−4i004-2-42-420-200-22204i−4i−2i2i0000000000−2i2i0000000000000000000000000000000−66−i6i6000000000
χ5744-4-44-2−4i4i004-2-42-420-200-2220−4i4i2i−2i00000000002i−2i00000000000000000000000000000006−6−i6i6000000000
χ5844-4-44-2−4i4i004-2-42-420-200-2220−4i4i2i−2i00000000002i−2i0000000000000000000000000000000−66i6−i6000000000
χ5944-4-4-244i−4i00-242-42-40-200-2220−2i2i4i−4i0000000000−2i2i000000i6−i6i6−i666−6−6000000000000000000000000000000
χ6044-4-4-244i−4i00-242-42-40-200-2220−2i2i4i−4i0000000000−2i2i000000−i6i6−i6i6−6−666000000000000000000000000000000
χ6144-4-4-24−4i4i00-242-42-40-200-22202i−2i−4i4i00000000002i−2i000000i6−i6i6−i6−6−666000000000000000000000000000000
χ6244-4-4-24−4i4i00-242-42-40-200-22202i−2i−4i4i00000000002i−2i000000−i6i6−i6i666−6−6000000000000000000000000000000
χ634-44-4440000-4-4-444-40400-4-4400000000000000000000022−22000022−2222−22000000000000000000000000000000
χ644-44-4440000-4-4-444-40400-4-44000000000000000000000−22220000−2222−2222000000000000000000000000000000
χ654-44-4-2400002-424-2-40-2−2i32i322-200000000000−2i32i30000000022−22i6−i6−i6i6−22−22000000000000000000000000000000
χ664-44-4-2400002-424-2-40-2−2i32i322-200000000000−2i32i300000000−2222−i6i6i6−i62−22−2000000000000000000000000000000
χ674-44-4-2400002-424-2-40-22i3−2i322-2000000000002i3−2i30000000022−22−i6i6i6−i6−22−22000000000000000000000000000000
χ684-44-4-2400002-424-2-40-22i3−2i322-2000000000002i3−2i300000000−2222i6−i6−i6i62−22−2000000000000000000000000000000
χ694-4-4444004-4-4-44-4-440400-44-440000-44-400000-440000000000000000000000000000000000000000000000
χ704-4-444-2004-4-4242-4-20-2002-22400002-2-4000002-2000000000000000000000000000−2i32i300000000000000000
χ714-4-444-2004-4-4242-4-20-2002-22400002-2-4000002-20000000000000000000000000002i3−2i300000000000000000
χ724-4-444-200-44-4242-4-20-2002-22-40000-22400000-22004-4000000000000000000000000000-220000000000000
χ734-4-444-200-44-4242-4-20-2002-22-40000-22400000-2200-440000000000000000000000000002-20000000000000
χ744-4-44-24004-42-4-2-4240-2002-22-20000-442000002-200000000000023−23−2323000000000000000000000000000000
χ754-4-44-24004-42-4-2-4240-2002-22-20000-442000002-2000000000000−232323−23000000000000000000000000000000
χ764-4-44-2400-442-4-2-4240-2002-22200004-4-200000-2200004-400-2-2220000000000000000000000000000000000
χ774-4-44-2400-442-4-2-4240-2002-22200004-4-200000-220000-440022-2-20000000000000000000000000000000000
χ7888-8-8-4-48i−8i00-4-4444402002-2-20−4i4i−4i4i00000000002i−2i00000000000000000000000000000000000000000000
χ7988-8-8-4-4−8i8i00-4-4444402002-2-204i−4i4i−4i0000000000−2i2i00000000000000000000000000000000000000000000
χ808-88-88-40000-84-8-4840-40044-40000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-40000444-4-4402−4i34i3-2-22000000000002i3−2i3000000000000000000000000000000000000000000000000
χ828-88-8-4-40000444-4-44024i3−4i3-2-2200000000000−2i32i3000000000000000000000000000000000000000000000000
χ838-8-88-4-4008-844-444-40200-22-2-400004-4400000-220000000000000000000000000000000000000000000000
χ848-8-88-4-400-8844-444-40200-22-240000-44-4000002-20000000000000000000000000000000000000000000000

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