Finite Group Databasebeta

← Group #11872809

Character table — Group #11872809

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444444888888888812121212121212121212121216161616161616161818181824242424242424242424242424242424242436367272
order1222334466666623466666121212121212446661212121212222244448888121212121212121244446666881212121224242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1
χ911111111111111-11-1-1-1111-1-111111-1-1-1-1-111-1-111-1-111-1-11111-111-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-11
χ1011111111111111-11-1-1-1111-1-111111-1-1-1-1-111-1-111-1-1-1-11111-1-1-111-1-1-111-1-1-1-111-1-1-1111-1-111-1-1-1-111111-1
χ1111111111111111-11-1-1-1111-1-111111-1-1-1-1-111-1-1-1-11111-1-1-1-111-111-1-1-111-1-1-1-1-1-1111-1-1-111-1-11111-1-1111-1
χ1211111111111111-11-1-1-1111-1-111111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-111-1-1-1111111-1-1111111-1-1-1-111-1-111-1-1-11
χ1311111111111111-11-1-1-1111-1-11111-11-1-1-1-111-1-111-1-111-1-1-1-1-1-11-1-1111-1-1111111-1-111-1-111-1-111-1-111-1-11-1
χ1411111111111111-11-1-1-1111-1-11111-11-1-1-1-111-1-111-1-1-1-111-1-1111-1-1111-1-1-1-1-1-111-1-11-111-1-1-1-11111-1-111-11
χ1511111111111111-11-1-1-1111-1-11111-11-1-1-1-111-1-1-1-11111-1-111-1-11-1-1111-1-1-1-1-1-1-1-111-11-1-11111-1-1-1-11111-11
χ1611111111111111-11-1-1-1111-1-11111-11-1-1-1-111-1-1-1-111-1-11111111-1-1111-1-11111-1-111-1-111-1-111-1-111-1-1-1-11-1
χ17222222-2-222222222-222222-2-2-2-2-2-200222-2-2-2-2-20000000000000000000022-2-2000000000000000000-2200
χ18222222-2-222222222-222222-2-2-2-2-2-200222-2-2-2-2-200000000000000000000-2-2220000000000000000002-200
χ19222222-2-2222222-222-2-222222-2-2-2-200-2-2-22-2-2220000000000000000000022-2-20000000000000000002-200
χ20222222-2-2222222-222-2-222222-2-2-2-200-2-2-22-2-22200000000000000000000-2-222000000000000000000-2200
χ2122222-122-1-12-1222-12-1-1-1-1-12222-1-1222-1-1-1-1-1-1-1222200002200-12-12-1-1-1-10000-1-1-1-1200000-1-1-1-100000000
χ2222222-122-1-12-1222-12-1-1-1-1-12222-1-1222-1-1-1-1-1-1-1-2-2-2-20000-2-200-12-12-1-1-1-100001111-200000111100000000
χ2322222-122-1-12-1222-12-1-1-1-1-12222-1-1-2-22-1-1-1-1-1-1-122220000-2-2001-21-211110000-1-1-1-1-200000111100000000
χ2422222-122-1-12-1222-12-1-1-1-1-12222-1-1-2-22-1-1-1-1-1-1-1-2-2-2-2000022001-21-2111100001111200000-1-1-1-100000000
χ2522222-122-1-12-122-2-1-211-1-1-1-2-222-1-12-2-2111-1-11122-2-20000220012-1-211-1-10000-1-111-200000-1-11100000000
χ2622222-122-1-12-122-2-1-211-1-1-1-2-222-1-12-2-2111-1-111-2-2220000-2-20012-1-211-1-1000011-1-120000011-1-100000000
χ2722222-122-1-12-122-2-1-211-1-1-1-2-222-1-1-22-2111-1-11122-2-20000-2-200-1-212-1-1110000-1-11120000011-1-100000000
χ2822222-122-1-12-122-2-1-211-1-1-1-2-222-1-1-22-2111-1-111-2-22200002200-1-212-1-111000011-1-1-200000-1-11100000000
χ292222-122222-12-1-12-1222-1-1-1-1-1-1-12222-1-1-12-1-1-1-10000222200222-12-1-1-1-1-10000000002-1-1-1-10000-1-1-1-10000
χ302222-122222-12-1-12-1222-1-1-1-1-1-1-12222-1-1-12-1-1-1-10000-2-2-2-200-2-22-12-1-1-1-1-1000000000-21111000011110000
χ312222-122222-12-1-12-1222-1-1-1-1-1-1-122-2-2-1-1-12-1-1-1-10000222200-2-2-21-211111000000000-2-1-1-1-1000011110000
χ322222-122222-12-1-12-1222-1-1-1-1-1-1-122-2-2-1-1-12-1-1-1-10000-2-2-2-20022-21-211111000000000211110000-1-1-1-10000
χ332222-122222-12-1-1-2-1-2-2-2-1-1-111-1-1222-2111-2-1-111000022-2-20022-2-12111-1-1000000000-211-1-10000-1-1110000
χ342222-122222-12-1-1-2-1-2-2-2-1-1-111-1-1222-2111-2-1-1110000-2-22200-2-2-2-12111-1-10000000002-1-111000011-1-10000
χ352222-122222-12-1-1-2-1-2-2-2-1-1-111-1-122-22111-2-1-111000022-2-200-2-221-2-1-1-111000000000211-1-1000011-1-10000
χ362222-122222-12-1-1-2-1-2-2-2-1-1-111-1-122-22111-2-1-1110000-2-222002221-2-1-1-111000000000-2-1-1110000-1-1110000
χ3722-2-2222-2-2-222-2-202000-2-22002-22-20000002-200002-2002i−2i0000000000002i−2i2i−2i002-2002i−2i00000000000000
χ3822-2-2222-2-2-222-2-202000-2-22002-22-20000002-200002-200−2i2i000000000000−2i2i−2i2i002-200−2i2i00000000000000
χ3922-2-2222-2-2-222-2-202000-2-22002-22-20000002-20000-22002i−2i000000000000−2i2i−2i2i00-22002i−2i00000000000000
χ4022-2-2222-2-2-222-2-202000-2-22002-22-20000002-20000-2200−2i2i0000000000002i−2i2i−2i00-2200−2i2i00000000000000
χ4122-2-222-22-2-222-2-202000-2-2200-22-22000000-22002-2002i−2i000000000000002i−2i−2i2i2-20000002i−2i000000000000
χ4222-2-222-22-2-222-2-202000-2-2200-22-22000000-22002-200−2i2i00000000000000−2i2i2i−2i2-2000000−2i2i000000000000
χ4322-2-222-22-2-222-2-202000-2-2200-22-22000000-2200-22002i−2i00000000000000−2i2i2i−2i-220000002i−2i000000000000
χ4422-2-222-22-2-222-2-202000-2-2200-22-22000000-2200-2200−2i2i000000000000002i−2i−2i2i-22000000−2i2i000000000000
χ4544444-2-4-4-2-24-2444-2-4-2-2-2-2-2-4-4-4-422004-2-2222220000000000000000000000000000000000000000000000
χ4644444-2-4-4-2-24-244-4-2422-2-2-244-4-42200-422-222-2-20000000000000000000000000000000000000000000000
χ474444-24-4-444-24-2-24-2-444-2-2-22222-4-400-2-2-2-422220000000000000000000000000000000000000000000000
χ484444-24-4-444-24-2-2-4-24-4-4-2-2-2-2-222-4-400222422-2-20000000000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-244-211-21111000000000000-2-2-2-2111100000000000000000000000000
χ504444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-2-4-4-211-211110000000000002222-1-1-1-100000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-41-42211122-2-2-2-24-42-1-1211-1-10000000000002-2-22-1-11100000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-41-42211122-2-2-2-2-442-1-1211-1-1000000000000-222-211-1-100000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200-2112-1-1-1-100000000000000003-33-300000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200-2112-1-1-1-10000000000000000-33-3300000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2-41422111-2-22222002-1-1-2-1-11100000000000000003-3-3300000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2-41422111-2-22222002-1-1-2-1-1110000000000000000-333-300000000000000000000000000
χ5744-4-44-24-4224-2-4-40-200022-2004-4-22000000-2200004-40000000000000000000000-22000000000000000000
χ5844-4-44-24-4224-2-4-40-200022-2004-4-22000000-220000-4400000000000000000000002-2000000000000000000
χ5944-4-44-2-44224-2-4-40-200022-200-442-20000002-2004-40000000000000000000000-2200000000000000000000
χ6044-4-44-2-44224-2-4-40-200022-200-442-20000002-200-4400000000000000000000002-200000000000000000000
χ6144-4-4-244-4-4-4-24220-200022-200-224-4000000-22000000004i−4i0000000000000000000000−2i2i00000000000000
χ6244-4-4-244-4-4-4-24220-200022-200-224-4000000-2200000000−4i4i00000000000000000000002i−2i00000000000000
χ6344-4-4-24-44-4-4-24220-200022-2002-2-440000002-20000004i−4i00000000000000000000000000−2i2i000000000000
χ6444-4-4-24-44-4-4-24220-200022-2002-2-440000002-2000000−4i4i000000000000000000000000002i−2i000000000000
χ654-44-44400-44-4-4-4404000-44-400000000000000000000000000−2i22i200000000000000000000000000−2i22i2000000
χ664-44-44400-44-4-4-4404000-44-4000000000000000000000000002i2−2i2000000000000000000000000002i2−2i2000000
χ674-44-4-2400-442-42-20-20002-2223−2300000000000023−230000000000−2i22i200000000000000000000000000i2−i2i6−i60000
χ684-44-4-2400-442-42-20-20002-2223−2300000000000023−2300000000002i2−2i200000000000000000000000000−i2i2−i6i60000
χ694-44-4-2400-442-42-20-20002-22−2323000000000000−23230000000000−2i22i200000000000000000000000000i2−i2−i6i60000
χ704-44-4-2400-442-42-20-20002-22−2323000000000000−232300000000002i2−2i200000000000000000000000000−i2i2i6−i60000
χ714-4-4444004-4-4-44-4040004-4-4000000000000000000000000−2i22i2000000000000000000000000−2i22i20000000000
χ724-4-4444004-4-4-44-4040004-4-40000000000000000000000002i2−2i20000000000000000000000002i2−2i20000000000
χ734-4-444-200-22-424-40-20−2i32i3-222000000000−2i32i30000000000000−2i22i2000000000000000000000000i2−i26−600000000
χ744-4-444-200-22-424-40-20−2i32i3-222000000000−2i32i300000000000002i2−2i2000000000000000000000000−i2i2−6600000000
χ754-4-444-200-22-424-40-202i3−2i3-2220000000002i3−2i30000000000000−2i22i2000000000000000000000000i2−i2−6600000000
χ764-4-444-200-22-424-40-202i3−2i3-2220000000002i3−2i300000000000002i2−2i2000000000000000000000000−i2i26−600000000
χ7788-8-8-4-48-844-4-44402000-2-2200-44-440000002-2000000000000000000000000000000000000000000000000
χ7888-8-8-4-4-8844-4-44402000-2-22004-44-4000000-22000000000000000000000000000000000000000000000000
χ798-88-88-4004-4-84-880-40004-4400000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4-4004-4444-402000-22-243−43000000000000−23230000000000000000000000000000000000000000000000
χ818-88-8-4-4004-4444-402000-22-2−434300000000000023−230000000000000000000000000000000000000000000000
χ828-8-88-48008-84-8-440-4000-44400000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-4444-44020−4i34i32-2-20000000002i3−2i3000000000000000000000000000000000000000000000000000
χ848-8-88-4-400-4444-440204i3−4i32-2-2000000000−2i32i3000000000000000000000000000000000000000000000000000

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