Finite Group Databasebeta

← Group #11884274

Character table — Group #11884274

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444888888888888881212121212121212121212121212121216161616161624242424242424242424242424242424363636367272
order12223344446666662366612121212121212124466661212121212121212222224446666121212121212121212124466688121212121224242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1111111111111111111-1-1-11-1-11-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1111-111-111-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-11111-1-1-1-1111111-111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1111111-1-1-1-111
χ711111111111111111111111111111-1-11111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-11111-1-1-1-11111-1-11-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ9111111-1-111111111-11111-1-111-1-1111-1-1-1-1-111-1-111-1-111-1111-11111111-1-11-111-1-1-1-111-11-11-1-1-1-111-1-111-1-1-11
χ10111111-1-111111111-11111-1-111-1-1111-1-1-1-1-111-1-111-1-111-1-1-11-11111111-1-11-111-1-1-11-1-1-1-11111-1-1-1-111-1-1111-1
χ11111111-1-111111111-11111-1-111-1-1111-1-1-1-1-111-1-111-1-1-1-1111-11-1-1-1-1-1-1-1111-111-1-11-11111-1-1-1-11111-1-1-1-1111-1
χ12111111-1-111111111-11111-1-111-1-1111-1-1-1-1-111-1-111-1-1-1-11-1-1-11-1-1-1-1-1-1-1111-111-1-111-1-11-11-11111-1-11111-1-1-11
χ13111111-1-111111111-11111-1-111-1-111-11-1-1-1-1-1-11111-1-111111-11-11111-1-111-11-1-111-1-1111-11-1-1-1-1-1-1-11111-1-11-1
χ14111111-1-111111111-11111-1-111-1-111-11-1-1-1-1-1-11111-1-1111-1-1-11-11111-1-111-11-1-111-11-1-111-1-111-1-111-1-1-1-111-11
χ15111111-1-111111111-11111-1-111-1-111-11-1-1-1-1-1-11111-1-1-1-1-1111-11-1-1-1-111-1-1-11-1-1111-111-1-111-1-111-1-111-1-111-11
χ16111111-1-111111111-11111-1-111-1-111-11-1-1-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-1-111-1-1-11-1-11111-1-1-11-11111111-1-111-1-11-1
χ1722222222-2-2222222-2222222-2-222-2-200-2-2-2-20000-2-22200200-2-220000-2-2-2-20000000000200200000000000000
χ1822222222-2-2222222-2222222-2-222-2-200-2-2-2-20000-2-22200-20022-2000022220000000000-200-200000000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022220000-2-2-2-2002002-2-2000022-2-20000000000200-200000000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022220000-2-2-2-200-200-2220000-2-2220000000000-200200000000000000
χ2122222-1222222-1-12-12-1-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-122200222-1-1-1-1-1-1-1-122-1-1-1-12000-100-100-1-10000000000
χ2222222-1222222-1-12-12-1-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-2-2-200-2-2-21111111122-1-1-1-1-2000100100110000000000
χ2322222-1222222-1-12-12-1-1-1-122-1-1-1-122-2-22-1-1-11111-1-1-1-122-200-2-2-2-1-1-1-11111-2-211112000100100-1-10000000000
χ2422222-1222222-1-12-12-1-1-1-122-1-1-1-122-2-22-1-1-11111-1-1-1-1-2-22002221111-1-1-1-1-2-21111-2000-100-100110000000000
χ2522222-122-2-222-1-12-1-2-1-1-1-12211-1-1-2-200-2111−i3i3−i3i311-1-100200-2-22−i3−i3i3i3111100−i3i3−i3i30000-100-100−i3i30000000000
χ2622222-122-2-222-1-12-1-2-1-1-1-12211-1-1-2-200-2111−i3i3−i3i311-1-100-20022-2i3i3−i3−i3-1-1-1-100−i3i3−i3i30000100100i3−i30000000000
χ2722222-122-2-222-1-12-1-2-1-1-1-12211-1-1-2-200-2111i3−i3i3−i311-1-100200-2-22i3i3−i3−i3111100i3−i3i3−i30000-100-100i3−i30000000000
χ2822222-122-2-222-1-12-1-2-1-1-1-12211-1-1-2-200-2111i3−i3i3−i311-1-100-20022-2−i3−i3i3i3-1-1-1-100i3−i3i3−i30000100100−i3i30000000000
χ2922222-1-2-22222-1-12-1-2-1-1-1-1-2-2-1-111222-2-2111-1-111-1-11122-2002-22-1-1-1-1-1-1112-2-1-111-2000100-100110000000000
χ3022222-1-2-22222-1-12-1-2-1-1-1-1-2-2-1-111222-2-2111-1-111-1-111-2-2200-22-2111111-1-12-2-1-1112000-100100-1-10000000000
χ3122222-1-2-22222-1-12-1-2-1-1-1-1-2-2-1-11122-22-211111-1-1-1-11122200-22-2-1-1-1-111-1-1-2211-1-1-2000-100100110000000000
χ3222222-1-2-22222-1-12-1-2-1-1-1-1-2-2-1-11122-22-211111-1-1-1-111-2-2-2002-221111-1-111-2211-1-12000100-100-1-10000000000
χ3322222-1-2-2-2-222-1-12-12-1-1-1-1-2-21111-2-2002-1-1-1−i3i3i3−i31111002002-2-2i3i3−i3−i3-1-11100−i3i3i3−i30000-100100−i3i30000000000
χ3422222-1-2-2-2-222-1-12-12-1-1-1-1-2-21111-2-2002-1-1-1−i3i3i3−i3111100-200-222−i3−i3i3i311-1-100−i3i3i3−i30000100-100i3−i30000000000
χ3522222-1-2-2-2-222-1-12-12-1-1-1-1-2-21111-2-2002-1-1-1i3−i3−i3i31111002002-2-2−i3−i3i3i3-1-11100i3−i3−i3i30000-100100i3−i30000000000
χ3622222-1-2-2-2-222-1-12-12-1-1-1-1-2-21111-2-2002-1-1-1i3−i3−i3i3111100-200-222i3i3−i3−i311-1-100i3−i3−i3i30000100-100−i3i30000000000
χ372222-122222-1-122-122-1-1-1-1-1-12222-1-122-12-1-12222-1-1-1-10002200000000000-1-1-1-1-1-102-1-10220-1-100-1-1-1-1000000
χ382222-122222-1-122-122-1-1-1-1-1-12222-1-122-12-1-12222-1-1-1-1000-2-200000000000-1-1-1-1-1-10-2110-2-2011001111000000
χ392222-122222-1-122-122-1-1-1-1-1-12222-1-1-2-2-12-1-1-2-2-2-2-1-1-1-1000220000000000011111102-1-10-2-20-1-1001111000000
χ402222-122222-1-122-122-1-1-1-1-1-12222-1-1-2-2-12-1-1-2-2-2-2-1-1-1-1000-2-2000000000001111110-21102201100-1-1-1-1000000
χ412222-12-2-222-1-122-12-2-1-1-1-11122-2-2-1-12-21-21122-2-2-1-1110002200000000000-11-1-1110-2-1-102-201100-1-111000000
χ422222-12-2-222-1-122-12-2-1-1-1-11122-2-2-1-12-21-21122-2-2-1-111000-2-200000000000-11-1-11102110-220-1-10011-1-1000000
χ432222-12-2-222-1-122-12-2-1-1-1-11122-2-2-1-1-221-211-2-222-1-11100022000000000001-111-1-10-2-1-10-220110011-1-1000000
χ442222-12-2-222-1-122-12-2-1-1-1-11122-2-2-1-1-221-211-2-222-1-111000-2-2000000000001-111-1-1021102-20-1-100-1-111000000
χ452-22-22200-22-2-2-2-22202-2-22002-2002-200000000002-2002-202-20002-22-20000000000002-20000000000002-20000
χ462-22-22200-22-2-2-2-22202-2-22002-2002-200000000002-2002-20-220002-22-2000000000000-22000000000000-220000
χ472-22-22200-22-2-2-2-22202-2-22002-2002-200000000002-200-2202-2000-22-220000000000002-2000000000000-220000
χ482-22-22200-22-2-2-2-22202-2-22002-2002-200000000002-200-220-22000-22-22000000000000-220000000000002-20000
χ494444-2444-4-4-2-244-24-4-2-2-2-2-2-2-4-44422002-422000022-2-200000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-2-244-244-2-2-2-222-4-4-4-42200-24-2-20000222200000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-241111-2-2-2-2-2-2-2-244-2-211-2-2-2-211110000000000000000-2-211110000000000000000000000
χ524444-2-24444-2-2-2-2-2-241111-2-2-2-2-2-2-2-2-4-4-2-21122221111000000000000000022-1-1-1-10000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-2-41111-2-222-2-2220022-1-1−2i32i3−2i32i3-1-111000000000000000000i3−i3i3−i30000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-2-41111-2-222-2-2220022-1-12i3−2i32i3−2i3-1-111000000000000000000−i3i3−i3i30000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-2-4111122-2-222-2-24-422-1-1-2-22211-1-10000000000000000-2211-1-10000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-2-4111122-2-222-2-2-4422-1-122-2-211-1-100000000000000002-2-1-1110000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-2411112222222200-2-211−2i32i32i3−2i3-1-1-1-1000000000000000000i3−i3−i3i30000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-2411112222222200-2-2112i3−2i3−2i32i3-1-1-1-1000000000000000000−i3i3i3−i30000000000000000000000
χ5944-4-4444i−4i00-44-44-4-404-44-44i−4i004i−4i000000000000004i−4i00000000000000000000000000000000000000000000
χ6044-4-444−4i4i00-44-44-4-404-44-4−4i4i00−4i4i00000000000000−4i4i00000000000000000000000000000000000000000000
χ6144-4-44-24i−4i00-442-2-420-22-224i−4i00−2i2i00000000000000−2i2i000000000000−2i32i323−230000000000000000000000000000
χ6244-4-44-24i−4i00-442-2-420-22-224i−4i00−2i2i00000000000000−2i2i0000000000002i3−2i3−23230000000000000000000000000000
χ6344-4-44-2−4i4i00-442-2-420-22-22−4i4i002i−2i000000000000002i−2i000000000000−2i32i3−23230000000000000000000000000000
χ6444-4-44-2−4i4i00-442-2-420-22-22−4i4i002i−2i000000000000002i−2i0000000000002i3−2i323−230000000000000000000000000000
χ6544-4-4-244i−4i002-2-442-40-22-22−2i2i004i−4i00000000000000−2i2i0000000000000000000000000000000000i6−i66−6000000
χ6644-4-4-244i−4i002-2-442-40-22-22−2i2i004i−4i00000000000000−2i2i0000000000000000000000000000000000−i6i6−66000000
χ6744-4-4-24−4i4i002-2-442-40-22-222i−2i00−4i4i000000000000002i−2i0000000000000000000000000000000000i6−i6−66000000
χ6844-4-4-24−4i4i002-2-442-40-22-222i−2i00−4i4i000000000000002i−2i0000000000000000000000000000000000−i6i66−6000000
χ694-44-444004-4-4-4-4-44404-4-4400-4400-440000000000-440000000000000000000000000000000000000000000000
χ704-44-44-2004-4-4-4224-20-222-2002-200-4400000000002-20000000000−2i32i32i3−2i300000000000000000000000000000000
χ714-44-44-2004-4-4-4224-20-222-2002-200-4400000000002-200000000002i3−2i3−2i32i300000000000000000000000000000000
χ724-44-44-200-44-4-4224-20-222-200-22004-40000000000-22004-4000000-22-2200000000000000000000000000000000
χ734-44-44-200-44-4-4224-20-222-200-22004-40000000000-2200-440000002-22-200000000000000000000000000000000
χ744-44-4-24004-422-4-4-240-222-200-44002-200000000002-200000000000000000000000000000000−2i32i3000000000000
χ754-44-4-24004-422-4-4-240-222-200-44002-200000000002-2000000000000000000000000000000002i3−2i3000000000000
χ764-44-4-2400-4422-4-4-240-222-2004-400-220000000000-22000004-40000000000000000000-22000000000000000000
χ774-44-4-2400-4422-4-4-240-222-2004-400-220000000000-2200000-4400000000000000000002-2000000000000000000
χ784-4-444400004-44-4-4-4044-4-400000000000000000000000000000000000000000000000000000000000000−2i22i200
χ794-4-444400004-44-4-4-4044-4-4000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ8088-8-8-4-48i−8i004-44-44402-22-2−4i4i00−4i4i000000000000002i−2i00000000000000000000000000000000000000000000
χ8188-8-8-4-4−8i8i004-44-44402-22-24i−4i004i−4i00000000000000−2i2i00000000000000000000000000000000000000000000
χ828-88-8-4-4008-84444-4-402-2-22004-4004-40000000000-220000000000000000000000000000000000000000000000
χ838-88-8-4-400-884444-4-402-2-2200-4400-4400000000002-20000000000000000000000000000000000000000000000
χ848-8-888-400008-8-44-840-4-444000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-480000-448-84-80-4-444000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40000-44-4444022-2-20000000000006-60000000000000000000000000000000000000000000000000000
χ878-8-88-4-40000-44-4444022-2-2000000000000-660000000000000000000000000000000000000000000000000000

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