Finite Group Databasebeta

← Group #11872489

Character table — Group #11872489

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444466668888888888888888881212121212121212121212121212161616161624242424242424242424242424243636363636364872
order1222334466666634466612121212444448121212121212121224242424242424244444448812121212121212121212124481212121212121224242424222488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-111-1-1-1-1-111-1-11111111-1111111-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-111-1-1-111-1-1111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1111-1-111-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111-1-111111-1-111-1-1111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-11-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ7111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-111-111-1-11111111-1-1-1-1-1-111-11
χ8111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-111-1-1-111111111-1-11-1
χ9111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111111-1-111-1-1-1111-1-1-1-1-1-11-1-11-1-111
χ10111111111111111-1-1111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1-11-1-1-111-111-1-111-111-111-1-1
χ11111111111111111-1-111111111111-11-1-1-1-1-1-111111111111-1-11-1-111111111-1-1-1-1-1-1-11-1-1-1-11-1-111111-1-1111-1-1
χ12111111111111111-1-111111111111-11-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1-11-11-1-1-1-1-11111-1-1-111-1-1-111
χ13111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1-11-1111-1-11-1-111-1-1-111-1111-1
χ14111111111111111-1-11111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1111-1-1-1-1111-1-1-11111111-1-11-1-1-11
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-111111-1-1-1-111-111-1-1-1-11
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-111-1-1-1-11-1-11111-1
χ17222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000200-200002222-2-2000000000000-2000000-20020000
χ18222222-2-2222222200222-2-2-2-222-2-200000000-2-200000000-2002000022-2-2-2-20000000000002000000200-20000
χ19222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000200-20000-2-22222000000000000-2000000200-20000
χ20222222-2-2222222200222-2-2-2-2-2-22200000000-2-200000000-20020000-2-2-2-2220000000000002000000-20020000
χ2122222-12222-1-1-12-122-1-1-12-1-1222222222-1-1-1-1-1-1-1-122-1-1-1-102200000-1-100-1-12-1-1-1-1022-1-1-1-1000-1-10000000000
χ2222222-12222-1-1-12-122-1-1-12-1-122222-2-22211-1-1-1-111-2-2111102200000-1-100-1-1-211-1-10-2-2-1-111000110000000000
χ2322222-12222-1-1-12-122-1-1-12-1-12-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-10-2-2000001100112-1-1-1-10-2-21111000110000000000
χ2422222-12222-1-1-12-122-1-1-12-1-12-2-2-2-2-2-22211-1-1-1-111-2-211110-2-200000110011-211-1-102211-1-1000-1-10000000000
χ2522222-12222-1-1-12-1-2-2-1-1-12-1-1222222-2-2-2-1-111-1-111-2-211110-2-200000-1-100-1-12-1-11102-211-1-1000110000000000
χ2622222-12222-1-1-12-1-2-2-1-1-12-1-122222-22-2-21111-1-1-1-122-1-1-1-10-2-200000-1-100-1-1-211110-221111000-1-10000000000
χ2722222-12222-1-1-12-1-2-2-1-1-12-1-12-2-2-2-22-2-2-2-1-111-1-111-2-21111022000001100112-1-1110-22-1-111000-1-10000000000
χ2822222-12222-1-1-12-1-2-2-1-1-12-1-12-2-2-2-2-22-2-21111-1-1-1-122-1-1-1-102200000110011-2111102-2-1-1-1-1000110000000000
χ292222-1222-1-1222-1-122-1-1-1-122-1000022-1-12222-1-122-1-1-1-1-1-12002222200-1-100-1-1-1-1-12000000-1-1-100-1-1000000-10
χ302222-1222-1-1222-1-122-1-1-1-122-1000022-1-12222-1-122-1-1-1-1-1-1-200-2-2-2-2-2001100-1-1-1-1-1-2000000111001100000010
χ312222-1222-1-1222-1-122-1-1-1-122-10000-2-2-1-1-2-222-1-1-2-2111111200222-2-200-1-100111-1-1-2000000-1-1-1001100000010
χ322222-1222-1-1222-1-122-1-1-1-122-10000-2-2-1-1-2-222-1-1-2-2111111-200-2-2-222001100111-1-1200000011100-1-1000000-10
χ332222-1222-1-1222-1-1-2-2-1-1-1-122-100002-21122-2-2-1-1-2-21111112002-2-2-2-200-1-100-1-1-1112000000-1110011000000-10
χ342222-1222-1-1222-1-1-2-2-1-1-1-122-100002-21122-2-2-1-1-2-2111111-200-22222001100-1-1-111-20000001-1-100-1-100000010
χ352222-1222-1-1222-1-1-2-2-1-1-1-122-10000-2211-2-2-2-2-1-122-1-1-1-1-1-12002-2-22200-1-10011111-2000000-11100-1-100000010
χ362222-1222-1-1222-1-1-2-2-1-1-1-122-10000-2211-2-2-2-2-1-122-1-1-1-1-1-1-200-222-2-20011001111120000001-1-10011000000-10
χ372-2-22222-22-2-22-2-2200-2-22-22-222i−2i2i−2i00000000-220000000000002i−2i002i−2i002i−2i00000000000002i−2i000002-200000
χ382-2-22222-22-2-22-2-2200-2-22-22-222i−2i2i−2i00000000-22000000000000−2i2i002i−2i002i−2i0000000000000−2i2i00000-2200000
χ392-2-22222-22-2-22-2-2200-2-22-22-22−2i2i−2i2i00000000-220000000000002i−2i00−2i2i00−2i2i00000000000002i−2i00000-2200000
χ402-2-22222-22-2-22-2-2200-2-22-22-22−2i2i−2i2i00000000-22000000000000−2i2i00−2i2i00−2i2i0000000000000−2i2i000002-200000
χ412-2-2222-222-2-22-2-222-2-2-222-22-22i−2i−2i2i002-2002-22-20000000002i−2i000002i−2i00−2i2i0002-20002i−2i00000000000000000
χ422-2-2222-222-2-22-2-222-2-2-222-22-2−2i2i2i−2i002-2002-22-2000000000−2i2i00000−2i2i002i−2i0002-2000−2i2i00000000000000000
χ432-2-2222-222-2-22-2-22-22-2-222-22-22i−2i−2i2i00-2200-222-2000000000−2i2i000002i−2i00−2i2i000-22000−2i2i00000000000000000
χ442-2-2222-222-2-22-2-22-22-2-222-22-2−2i2i2i−2i00-2200-222-20000000002i−2i00000−2i2i002i−2i000-220002i−2i00000000000000000
χ452-2-222-1-222-21-11-2-12-211-121-1-22i−2i−2i2i002-23−3-11-113−30033−3−302i−2i00000−ii00i−i03−3-11000−ii−i3i3000−i3i30000000000
χ462-2-222-1-222-21-11-2-12-211-121-1-22i−2i−2i2i002-2−33-11-11−3300−3−33302i−2i00000−ii00i−i0−33-11000−iii3−i3000i3−i30000000000
χ472-2-222-1-222-21-11-2-12-211-121-1-2−2i2i2i−2i002-23−3-11-113−30033−3−30−2i2i00000i−i00−ii03−3-11000i−ii3−i3000i3−i30000000000
χ482-2-222-1-222-21-11-2-12-211-121-1-2−2i2i2i−2i002-2−33-11-11−3300−3−3330−2i2i00000i−i00−ii0−33-11000i−i−i3i3000−i3i30000000000
χ492-2-222-1-222-21-11-2-1-2211-121-1-22i−2i−2i2i00-223−31-1-11−3300−3−3330−2i2i00000−ii00i−i03−31-1000i−i−i3i3000i3−i30000000000
χ502-2-222-1-222-21-11-2-1-2211-121-1-22i−2i−2i2i00-22−331-1-113−30033−3−30−2i2i00000−ii00i−i0−331-1000i−ii3−i3000−i3i30000000000
χ512-2-222-1-222-21-11-2-1-2211-121-1-2−2i2i2i−2i00-223−31-1-11−3300−3−33302i−2i00000i−i00−ii03−31-1000−iii3−i3000−i3i30000000000
χ522-2-222-1-222-21-11-2-1-2211-121-1-2−2i2i2i−2i00-22−331-1-113−30033−3−302i−2i00000i−i00−ii0−331-1000−ii−i3i3000i3−i30000000000
χ5344444-2-4-444-2-2-24-200-2-2-2-422-444-4-400000000220000000000000000-2-20022000000000000000000000000000
χ5444444-2-4-444-2-2-24-200-2-2-2-422-4-4-444000000002200000000000000002200-2-2000000000000000000000000000
χ554444-24-4-4-2-2444-2-200-2-2-22-4-420000000000002200000000400-4000000-2-200000000000000200000000000000
χ564444-24-4-4-2-2444-2-200-2-2-22-4-420000000000002200000000-40040000002200000000000000-200000000000000
χ574444-2-244-2-2-2-2-2-2144111-2-2-2-2000044-2-2-2-2-2-211-2-2-2-2111100000000000000-211110000000000000000000000
χ584444-2-244-2-2-2-2-2-2144111-2-2-2-20000-4-4-2-222-2-2112222-1-1-1-1000000000000002-1-1110000000000000000000000
χ594444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200004-422-2-222112222-1-1-1-100000000000000-211-1-10000000000000000000000
χ604444-2-244-2-2-2-2-2-21-4-4111-2-2-2-20000-4422222211-2-2-2-21111000000000000002-1-1-1-10000000000000000000000
χ6144-4-44400-444-4-4-4400-44-400000000000000000000000000000000000000000000000000000000000000022−2200
χ6244-4-44400-444-4-4-4400-44-4000000000000000000000000000000000000000000000000000000000000000−222200
χ634-44-44400-4-4-4-4444004-4-400000000000000000000000000000000−2i22i200000000000000000000000−2i22i200000000
χ644-44-44400-4-4-4-4444004-4-4000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i200000000
χ654-44-4-240022-4-44-2-200-22200000000000000000000i6−i6i6−i6i6−i6000000−2i22i20023−230000000000000000000i2−i200000000
χ664-44-4-240022-4-44-2-200-22200000000000000000000i6−i6i6−i6i6−i60000002i2−2i200−23230000000000000000000−i2i200000000
χ674-44-4-240022-4-44-2-200-22200000000000000000000−i6i6−i6i6−i6i6000000−2i22i200−23230000000000000000000i2−i200000000
χ684-44-4-240022-4-44-2-200-22200000000000000000000−i6i6−i6i6−i6i60000002i2−2i20023−230000000000000000000−i2i200000000
χ694-4-444-24-44-42-22-4-20022-2-4-2244i−4i4i−4i000000002-20000000000000000−2i2i00−2i2i000000000000000000000000000
χ704-4-444-24-44-42-22-4-20022-2-4-224−4i4i−4i4i000000002-200000000000000002i−2i002i−2i000000000000000000000000000
χ714-4-44-244-4-22-44-42-20022-224-4-20000000000002-20000000000004i−4i000000000000000000000−2i2i000000000000
χ724-4-44-244-4-22-44-42-20022-224-4-20000000000002-2000000000000−4i4i0000000000000000000002i−2i000000000000
χ734-4-44-24-44-22-44-42-24-422-2-2-442000000-22004-4-220000000000000000000000000-220000000000000000000000
χ744-4-44-24-44-22-44-42-2-4422-2-2-4420000002-200-44-2200000000000000000000000002-20000000000000000000000
χ754-4-44-2-2-44-222-22214-4-1-11-22-22000000-2223−23-221-123−2300−3−333000000000000000−331-10000000000000000000000
χ764-4-44-2-2-44-222-22214-4-1-11-22-22000000-22−2323-221-1−23230033−3−30000000000000003−31-10000000000000000000000
χ774-4-44-2-2-44-222-2221-44-1-11-22-220000002-223−232-21-1−23230033−3−3000000000000000−33-110000000000000000000000
χ784-4-44-2-2-44-222-2221-44-1-11-22-220000002-2−23232-21-123−2300−3−3330000000000000003−3-110000000000000000000000
χ798888-4-4-8-8-4-4-4-4-4-42002224444000000000000-2-20000000000000000000000000000000000000000000000000
χ8088-8-88-400-88-444-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-48004-48-8-84-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-4004-4-4444200-22-20000000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ8388-8-8-4-4004-4-4444200-22-200000000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ848-88-88-400-8-844-48-400-4440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004444-4-42002-2-2000000000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000
χ868-88-8-4-4004444-4-42002-2-200000000000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000
χ878-8-88-4-48-8-444-444200-2-224-44-4000000000000-220000000000000000000000000000000000000000000000000

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