Finite Group Databasebeta

← Group #11884003

Character table — Group #11884003

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121212121216161616161624242424242424242436364848727272
order1222334466666636668812121212242424242244121212121212242424242424224444466881212121212122424242412121212121222668121224242466248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11-1-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11111111111-1-11111111-1-111-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1-1-1-1-111111111-1-1111-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11
χ51111111111111111111111111111-1-1111111111111111111-111-1-1-1-111-1-111-1-1-1-1111111-1-11111111-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1111
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-11111-1
χ9111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-111111-1-111-1-1111111-1-1-1-11-111-1-11-111-1-1-1-1-1111-11-1-1
χ10111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-11-111-1-11-1-1-111111-1-11-1-111
χ11111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-11-1-111-11111-1-111-1-1-111-11
χ12111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-11-1-111-11-1-1-111-1-111-11-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-11111-1-11111111-111-1-1-1111-1-1-1-1-1-1-1-11-111
χ14111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-111-1-1-11-1-11111111-111-1-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-1-1111-1111-1-111111-1-11-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-111-1-11111-1-1111111-11-1-1111-1-1-1-111-1-1-1-11-11-11
χ17222222-2-2222222222200-2-2-2-2000022000000-2-2000000002-2-200220022-2-2-2-20000000000000000000-2200000
χ18222222-2-2222222222200-2-2-2-2000022000000-2-200000000-22-2002200-2-2-2-22200000000000000000002-200000
χ19222222-2-2222222222200-2-2-2-20000-2-2000000-2-2000000002-2200-2-2002222-2-200000000000000000002-200000
χ20222222-2-2222222222200-2-2-2-20000-2-2000000-2-200000000-22200-2-200-2-222220000000000000000000-2200000
χ2122222-122-12-1-122-1-1-1-122-122-1-1-1-1-122222222-1-122-1-1-1-10000200-1-12200-1-100-1-1-1-1-1-1-1-1-1-122000000000-1-1000
χ2222222-122-12-1-122-1-1-1-122-122-1-1-1-1-122-2-2-2-2-2-2-1-122-1-1-1-10000200-1-12200-1-100-1-1-1-1111111-2-200000000011000
χ2322222-122-12-1-122-1-1-1-122-122-1-1-1-1-1-2-2222222-1-122-1-1-1-10000-20011-2-20011001111-1-1-1-1-1-1-2-200000000011000
χ2422222-122-12-1-122-1-1-1-122-122-1-1-1-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-10000-20011-2-2001100111111111122000000000-1-1000
χ2522222-122-12-1-122-1-1-1-1-2-2-122-11111222-222-2-2-1-1-2-211110000200-1-1-2-200-1-1001111-11-1-1112-2000000000-11000
χ2622222-122-12-1-122-1-1-1-1-2-2-122-1111122-22-2-222-1-1-2-211110000200-1-1-2-200-1-10011111-111-1-1-220000000001-1000
χ2722222-122-12-1-122-1-1-1-1-2-2-122-11111-2-22-222-2-2-1-1-2-211110000-2001122001100-1-1-1-1-11-1-111-220000000001-1000
χ2822222-122-12-1-122-1-1-1-1-2-2-122-11111-2-2-22-2-222-1-1-2-211110000-2001122001100-1-1-1-11-111-1-12-2000000000-11000
χ292222-12222-122-1-1-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-1-1-122220220000-1-100-1-1000022-1-1-1-100-1-12-1-1-1-10000000
χ302222-12222-122-1-1-1-1-1-1222-1-1222220022-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20-2-20000110011000022-1-1-1-10011-211110000000
χ312222-12222-122-1-1-1-1-1-1222-1-12222200-2-21111-1-1-1-1-1-1-1-122-2-202200001100110000-2-2111100-1-1-2-1-1110000000
χ322222-12222-122-1-1-1-1-1-1222-1-12222200-2-21111-1-1-1-1-1-1-1-1-2-2220-2-20000-1-100-1-10000-2-211110011211-1-10000000
χ332222-12222-122-1-1-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-111-1-111111122220-2-20000-1-100-1-100002-2-1-11100-1-1-211110000000
χ342222-12222-122-1-1-1-1-1-1-2-22-1-12-2-2-2-2002-2-1-111-1-1111111-2-2-2-2022000011001100002-2-1-11100112-1-1-1-10000000
χ352222-12222-122-1-1-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-1-1-111111122-2-20-2-200001100110000-2211-1-100-1-1211-1-10000000
χ362222-12222-122-1-1-1-1-1-1-2-22-1-12-2-2-2-200-2211-1-1-1-1111111-2-2220220000-1-100-1-10000-2211-1-10011-2-1-1110000000
χ372-2-2222-22-2-22-22-22-22-22-2-22-2222-2-200000000-222-222-2-22-20002-200000000000000000000002-202-2000000000
χ382-2-2222-22-2-22-22-22-22-22-2-22-2222-2-200000000-222-222-2-2-22000-220000000000000000000000-220-22000000000
χ392-2-2222-22-2-22-22-22-22-2-22-22-22-2-22200000000-22-22-2-2222-2000-2200000000000000000000002-20-22000000000
χ402-2-2222-22-2-22-22-22-22-2-22-22-22-2-22200000000-22-22-2-222-220002-20000000000000000000000-2202-2000000000
χ412-2-22-12-22-212-2-11-11-112-2-2-11222-2-200003−33−31-1-11-1-1112-20002-200003−3003−30000003−33−300-110-113−30000000
χ422-2-22-12-22-212-2-11-11-112-2-2-11222-2-200003−33−31-1-11-1-111-22000-220000−3300−330000003−33−3001-101-1−330000000
χ432-2-22-12-22-212-2-11-11-112-2-2-11222-2-20000−33−331-1-11-1-1112-20002-20000−3300−33000000−33−3300-110-11−330000000
χ442-2-22-12-22-212-2-11-11-112-2-2-11222-2-20000−33−331-1-11-1-111-22000-2200003−3003−3000000−33−33001-101-13−30000000
χ452-2-22-12-22-212-2-11-11-11-22-2-112-2-22200003−3−331-11-111-1-12-2000-2200003−3003−30000003−3−3300-1101-1−330000000
χ462-2-22-12-22-212-2-11-11-11-22-2-112-2-22200003−3−331-11-111-1-1-220002-20000−3300−330000003−3−33001-10-113−30000000
χ472-2-22-12-22-212-2-11-11-11-22-2-112-2-2220000−333−31-11-111-1-12-2000-220000−3300−33000000−333−300-1101-13−30000000
χ482-2-22-12-22-212-2-11-11-11-22-2-112-2-2220000−333−31-11-111-1-1-220002-200003−3003−3000000−333−3001-10-11−330000000
χ4944444-2-4-4-24-2-244-2-2-2-2002-4-42000044000000220000000000-400-2-20000220000000000000000000000000000
χ5044444-2-4-4-24-2-244-2-2-2-2002-4-420000-4-4000000220000000000400220000-2-20000000000000000000000000000
χ514444-24-4-44-244-2-2-2-2-2-200-422-400000000000022000000004-40000000-2-2002200000000000000000000000000
χ524444-24-4-44-244-2-2-2-2-2-200-422-40000000000002200000000-4400000002200-2-200000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-2-2-211-2-21111000000000000000000000-2-211110000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-4222211-2-2111100000000000000000000022-1-1-1-10000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-2221122-1-1-1-1000000000000000000000-2211-1-10000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-4422-2-21122-1-1-1-10000000000000000000002-2-1-1110000000000000000
χ5744-4-4440044-4-4-4-444-4-400000000000000000000000000000000000−2i22i2000000−2i2−2i22i22i20000000000000000000000
χ5844-4-4440044-4-4-4-444-4-4000000000000000000000000000000000002i2−2i20000002i22i2−2i2−2i20000000000000000000000
χ5944-4-44-200-2422-4-4-2-222000000i6−i6i6−i6000000000000i6−i6i6−i6000000000−2i22i20023−2300i2i2−i2−i20000000000000000000000
χ6044-4-44-200-2422-4-4-2-222000000i6−i6i6−i6000000000000i6−i6i6−i60000000002i2−2i200−232300−i2−i2i2i20000000000000000000000
χ6144-4-44-200-2422-4-4-2-222000000−i6i6−i6i6000000000000−i6i6−i6i6000000000−2i22i200−232300i2i2−i2−i20000000000000000000000
χ6244-4-44-200-2422-4-4-2-222000000−i6i6−i6i6000000000000−i6i6−i6i60000000002i2−2i20023−2300−i2−i2i2i20000000000000000000000
χ634-44-44400-4-4-44-444-4-4400000000004-40000000000000000000004-40000000000000000000000000000000000
χ644-44-44400-4-4-44-444-4-440000000000-44000000000000000000000-440000000000000000000000000000000000
χ654-44-44-2002-42-2-44-222-2000000i6−i6−i6i64-40000000000i6−i6−i6i60000000-2200000000i6−i6i6−i60000000000000000000000
χ664-44-44-2002-42-2-44-222-2000000i6−i6−i6i6-440000000000i6−i6−i6i600000002-200000000−i6i6−i6i60000000000000000000000
χ674-44-44-2002-42-2-44-222-2000000−i6i6i6−i64-40000000000−i6i6i6−i60000000-2200000000−i6i6−i6i60000000000000000000000
χ684-44-44-2002-42-2-44-222-2000000−i6i6i6−i6-440000000000−i6i6i6−i600000002-200000000i6−i6i6−i60000000000000000000000
χ694-4-44444-4-4-44-44-44-44-4004-44-40000000000004-40000000000000000000000000000000000000000000000000
χ704-4-444-24-42-4-224-4-22-2200-2-442000000000000-220000000000000000000000023−23−23230000000000000000000000
χ714-4-444-24-42-4-224-4-22-2200-2-442000000000000-2200000000000000000000000−232323−230000000000000000000000
χ724-4-444-2-442-4-224-4-22-224-424-4-2-2-222000000002-24-4-2-2220000000000000000000000000000000000000000000
χ734-4-444-2-442-4-224-4-22-22-4424-4-222-2-2000000002-2-4422-2-20000000000000000000000000000000000000000000
χ744-4-44-244-4-424-4-22-22-220042-2-4000000000000-220000000000000000023−2300−232300000000000000000000000000
χ754-4-44-244-4-424-4-22-22-220042-2-4000000000000-2200000000000000000−23230023−2300000000000000000000000000
χ764-4-44-2-2-4422-22-221-11-14-42-22-2-2-222000023−2323−23-11-2211-1-100000000000000000000000−33−330000000000000000
χ774-4-44-2-2-4422-22-221-11-14-42-22-2-2-2220000−2323−2323-11-2211-1-1000000000000000000000003−33−30000000000000000
χ784-4-44-2-2-4422-22-221-11-1-442-22-222-2-2000023−23−2323-112-2-1-11100000000000000000000000−333−30000000000000000
χ794-4-44-2-2-4422-22-221-11-1-442-22-222-2-20000−232323−23-112-2-1-111000000000000000000000003−3−330000000000000000
χ808888-4-4-8-8-4-4-4-4-4-42222004444000000000000-2-20000000000000000000000000000000000000000000000000
χ8188-8-8-48008-4-8-844-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-4444422-2-20000002i6−2i62i6−2i6000000000000−i6i6−i6i60000000000000000000000000000000000000000000
χ8388-8-8-4-400-4-4444422-2-2000000−2i62i6−2i62i6000000000000i6−i6i6−i60000000000000000000000000000000000000000000
χ848-88-8-4800-84-884-4-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-400444-44-42-2-220000002i6−2i6−2i62i6000000000000−i6i6i6−i60000000000000000000000000000000000000000000
χ868-88-8-4-400444-44-42-2-22000000−2i62i62i6−2i6000000000000i6−i6−i6i60000000000000000000000000000000000000000000
χ878-8-88-4-48-844-44-442-22-200-44-440000000000002-20000000000000000000000000000000000000000000000000

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