Finite Group Databasebeta

← Group #11866336

Character table — Group #11866336

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order12223344666666344666121212121212224424661212121212121212121212444444668812126661212122266668121212121212242424244444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-11-1-111-1-111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-1-1-111-1-111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-111-111-1-111-1-1111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ711111111111111111111111111-1-1-1-1-1-1-1-111-1-11111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-1-1-111-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1
χ9111111111111111-1-1111-1-1111111111-111-1-1-1-1-1-1-1-1-111-111-1-1-111-1-111111-1-1-11-111-1-11-1-111-1-111-1-111-1-1-1-11
χ10111111111111111-1-1111-1-1111111111-111-1-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1-11-111-1-1-1-1-1-1-111-1-111-1-11111-1
χ11111111111111111-1-1111-1-111111111-11-1-1-1-111-1-1-1-1-111-111-1-1-1111111-1-1-1111-11-1-111-1-1-111-1-1-1-11111-1-111-1
χ12111111111111111-1-1111-1-111111111-11-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1111-11-1-1111-1-1-1-11111-1-1-1-111-1-11
χ13111111111111111-1-1111-1-11111-1-1-1-11-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-11111111-1-111-1-1-1-11111-1
χ14111111111111111-1-1111-1-11111-1-1-1-11-111-1-1-1-1-1-1-1-1-1111-1-1111-1-111-1-1111-1-1-1-11-1-111-111-1-111-1-11111-1-1-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-11-1-1-1-111-1-1-1-1-1111111-1-1-1-111-1-1-1-1-11111-111-1-1-11111-1-1-1-111-1-111-1-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-11-1-1-1-111-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-11111-111-1-1111-1-11111-1-111-1-111-1
χ17222222-2-222222222-2222-2-2-2-2-2-222-2-200002-200222-2-2-2-2-2002002200-2-200000000000002-2000000000000000
χ18222222-2-222222222-2222-2-2-2-2-2-2-2-22200002-200222-2-2-2-2200-200-2-200220000000000000-22000000000000000
χ19222222-2-22222222-2222222-2-2-2-222-2-20000-2200-2-2-222-2-2200-2002200-2-20000000000000-22000000000000000
χ20222222-2-22222222-2222222-2-2-2-2-2-2220000-2200-2-2-222-2-2-200200-2-2002200000000000002-2000000000000000
χ2122222-1222-1-1-122-122-1-1-122-1-122222222-1-1-1-1-1-12-1-1-1-1-1-1200200-1-100-1-12-1-12-1-122-1-1-1-10-1-1000000000000000
χ2222222-1222-1-1-122-122-1-1-122-1-1222222-2-211-1-1112-1-1-1-1-1-1200200-1-100-1-1-211-211-2-211110-1-1000000000000000
χ2322222-1222-1-1-122-122-1-1-122-1-122-2-2-2-222-1-1-1-1-1-12-1-1-1-1-1-1-200-2001100112-1-12-1-1-2-21111011000000000000000
χ2422222-1222-1-1-122-122-1-1-122-1-122-2-2-2-2-2-211-1-1112-1-1-1-1-1-1-200-200110011-211-21122-1-1-1-1011000000000000000
χ2522222-1222-1-1-122-1-2-2-1-1-1-2-2-1-12222222-2-1-11111-21111-1-1-200-200-1-100-1-12-1-1-2112-2-1-111011000000000000000
χ2622222-1222-1-1-122-1-2-2-1-1-1-2-2-1-1222222-221111-1-1-21111-1-1-200-200-1-100-1-1-2112-1-1-2211-1-1011000000000000000
χ2722222-1222-1-1-122-1-2-2-1-1-1-2-2-1-122-2-2-2-22-2-1-11111-21111-1-12002001100112-1-1-211-2211-1-10-1-1000000000000000
χ2822222-1222-1-1-122-1-2-2-1-1-1-2-2-1-122-2-2-2-2-221111-1-1-21111-1-1200200110011-2112-1-12-2-1-1110-1-1000000000000000
χ2922222-1-2-22-1-1-122-12-2-1-1-1-2-211-2-222-2-200−i3i3-11−i3i32-1-11111-200200-1-100110−i3i30−i3i300−i3i3−i3i30-11000000000000000
χ3022222-1-2-22-1-1-122-12-2-1-1-1-2-211-2-222-2-200i3−i3-11i3−i32-1-11111-200200-1-100110i3−i30i3−i300i3−i3i3−i30-11000000000000000
χ3122222-1-2-22-1-1-122-12-2-1-1-1-2-211-2-2-2-22200−i3i3-11−i3i32-1-11111200-2001100-1-10−i3i30−i3i300i3−i3i3−i301-1000000000000000
χ3222222-1-2-22-1-1-122-12-2-1-1-1-2-211-2-2-2-22200i3−i3-11i3−i32-1-11111200-2001100-1-10i3−i30i3−i300−i3i3−i3i301-1000000000000000
χ3322222-1-2-22-1-1-122-1-22-1-1-12211-2-222-2-200−i3i31-1i3−i3-211-1-111200-200-1-100110−i3i30i3−i300−i3i3i3−i301-1000000000000000
χ3422222-1-2-22-1-1-122-1-22-1-1-12211-2-222-2-200i3−i31-1−i3i3-211-1-111200-200-1-100110i3−i30−i3i300i3−i3−i3i301-1000000000000000
χ3522222-1-2-22-1-1-122-1-22-1-1-12211-2-2-2-22200−i3i31-1i3−i3-211-1-111-2002001100-1-10−i3i30i3−i300i3−i3−i3i30-11000000000000000
χ3622222-1-2-22-1-1-122-1-22-1-1-12211-2-2-2-22200i3−i31-1−i3i3-211-1-111-2002001100-1-10i3−i30−i3i300−i3i3i3−i30-11000000000000000
χ372222-1222-1222-1-1-122-1-1-1-1-122-1-1000022222222-1-1-1-1-1-1-1022022002200-1-1-1-1-1-1000000200-1-1-1-1-1-1-1-10000000
χ382222-1222-1222-1-1-122-1-1-1-1-122-1-1000022222222-1-1-1-1-1-1-10-2-20-2-200-2-200-1-1-1-1-1-1000000-200111111110000000
χ392222-1222-1222-1-1-122-1-1-1-1-122-1-10000-2-2-2-222-2-2-1-1-1-1-1-1-102202200-2-200111111000000-200-1-1-1-111110000000
χ402222-1222-1222-1-1-122-1-1-1-1-122-1-10000-2-2-2-222-2-2-1-1-1-1-1-1-10-2-20-2-20022001111110000002001111-1-1-1-10000000
χ412222-1222-1222-1-1-1-2-2-1-1-11122-1-100002-222-2-2-2-211111-1-10220-2-200-2-200-1-1-1111000000200-1-111-1-1110000000
χ422222-1222-1222-1-1-1-2-2-1-1-11122-1-100002-222-2-2-2-211111-1-10-2-2022002200-1-1-1111000000-20011-1-111-1-10000000
χ432222-1222-1222-1-1-1-2-2-1-1-11122-1-10000-22-2-2-2-22211111-1-10220-2-2002200111-1-1-1000000-200-1-11111-1-10000000
χ442222-1222-1222-1-1-1-2-2-1-1-11122-1-10000-22-2-2-2-22211111-1-10-2-202200-2-200111-1-1-100000020011-1-1-1-1110000000
χ452-2-22222-2-2-2-22-22200-2-22002-22-22-22-200000000000002-202i−2i0002-2002-20000000000000002i−2i0000002i−2i00000
χ462-2-22222-2-2-2-22-22200-2-22002-22-22-22-200000000000002-20−2i2i0002-2002-2000000000000000−2i2i000000−2i2i00000
χ472-2-22222-2-2-2-22-22200-2-22002-22-2-22-2200000000000002-202i−2i000-2200-220000000000000002i−2i000000−2i2i00000
χ482-2-22222-2-2-2-22-22200-2-22002-22-2-22-2200000000000002-20−2i2i000-2200-22000000000000000−2i2i0000002i−2i00000
χ492-2-2222-22-2-2-22-22200-2-2200-22-222-2-220000000000000-2200002-22-200-22000000000000000002-20000002-2000
χ502-2-2222-22-2-2-22-22200-2-2200-22-222-2-220000000000000-220000-222-200-2200000000000000000-22000000-22000
χ512-2-2222-22-2-2-22-22200-2-2200-22-22-222-20000000000000-2200002-2-22002-2000000000000000002-2000000-22000
χ522-2-2222-22-2-2-22-22200-2-2200-22-22-222-20000000000000-220000-22-22002-200000000000000000-220000002-2000
χ534444-24-4-4-2444-2-2-24-4-2-2-222-4-422000000004-400-2-2-22222000000000000000000000000000000000000000000
χ544444-24-4-4-2444-2-2-2-44-2-2-2-2-2-4-42200000000-4400222-2-222000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2000044-2-2-2-2-2-2-2111111000000000000-211-211000000000000000000000000
χ564444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20000-4-422-2-222-21111110000000000002-1-12-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-21-4-411122-2-2-2-200004-4-2-222222-1-1-1-111000000000000-2112-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-21-4-411122-2-2-2-20000-442222-2-22-1-1-1-1110000000000002-1-1-211000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-214-4111222222000000−2i32i3-22−2i32i3-211-1-1-1-10000000000000i3−i30i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-214-41112222220000002i3−2i3-222i3−2i3-211-1-1-1-10000000000000−i3i30−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-21-44111-2-22222000000−2i32i32-22i3−2i32-1-111-1-10000000000000i3−i30−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-21-44111-2-222220000002i3−2i32-2−2i32i32-1-111-1-10000000000000−i3i30i3−i3000000000000000000000000
χ6344-4-44400-44-4-44-44004-4-4000000000000000000000000000000000−2i22i200000000000000000000000−2i22i20000000
χ6444-4-44400-44-4-44-44004-4-40000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i20000000
χ6544-4-4-240024-4-4-22-200-22223−23000000000000000000023−230000000000−2i22i2000000000000000000000i6−i6i2−i20000000
χ6644-4-4-240024-4-4-22-200-22223−23000000000000000000023−2300000000002i2−2i2000000000000000000000−i6i6−i2i20000000
χ6744-4-4-240024-4-4-22-200-222−23230000000000000000000−23230000000000−2i22i2000000000000000000000−i6i6i2−i20000000
χ6844-4-4-240024-4-4-22-200-222−23230000000000000000000−232300000000002i2−2i2000000000000000000000i6−i6−i2i20000000
χ694-44-444004-44-4-4-4400-44-40000000000000000000000000000000000000000000000000000000000000000−2i22i20
χ704-44-444004-44-4-4-4400-44-400000000000000000000000000000000000000000000000000000000000000002i2−2i20
χ714-4-444-24-4-422-2-44-20022-200-224-44-44-40000000000000-22000000-2200-22000000000000000000000000000000
χ724-4-444-24-4-422-2-44-20022-200-224-4-44-440000000000000-220000002-2002-2000000000000000000000000000000
χ734-4-444-2-44-422-2-44-20022-2002-2-444-4-4400000000000002-2000000-22002-2000000000000000000000000000000
χ744-4-444-2-44-422-2-44-20022-2002-2-44-444-400000000000002-20000002-200-22000000000000000000000000000000
χ754-4-44-244-42-4-442-2-20022-2004-4-2200000000000000000-2204i−4i000000000000000000000000−2i2i0000000000000
χ764-4-44-244-42-4-442-2-20022-2004-4-2200000000000000000-220−4i4i0000000000000000000000002i−2i0000000000000
χ774-4-44-24-442-4-442-2-20022-200-442-2000000000000000002-200004-400000000000000000000000-2200000000000
χ784-4-44-24-442-4-442-2-20022-200-442-2000000000000000002-20000-44000000000000000000000002-200000000000
χ7988-8-88-400-8-4448-8-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-4004-444-442002-2-243−430000000000000000000−232300000000000000000000000000000000000000000000
χ8188-8-8-4-4004-444-442002-2-2−4343000000000000000000023−2300000000000000000000000000000000000000000000
χ828-88-88-40084-44-8-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4800-4-88-844-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-400-44-4444200-22-200000000000000000006i−6i0000000000000000000000000000000000000000000000
χ858-88-8-4-400-44-4444200-22-20000000000000000000−6i6i0000000000000000000000000000000000000000000000
χ868-8-88-4-48-8444-44-4200-2-2200-44-44000000000000000002-2000000000000000000000000000000000000000000
χ878-8-88-4-4-88444-44-4200-2-22004-44-400000000000000000-22000000000000000000000000000000000000000000

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