Finite Group Databasebeta

← Group #11884405

Character table — Group #11884405

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order1222334466666634466612121212444812121212121212122424242424242424222448812121212121212121212122246666681212242424242488624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111111-1-1-11111-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1111-1-111111-1-1-1-1-111-1-111-1-11
χ411111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1111-11-1-1111-111-1-1-1-111-1-1-11-1
χ5111111111111111111111111-1-1111111111111111111-111111111-1-11111111-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ7111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-11-111-1-1-11-1-1111111-1-111-1
χ8111111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-111-111-1-1-1-1-111111-1-1-1-1111-11
χ9111111111111111-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111111111-1-1-11-1111-1-1-1-1-1-1-1-1-111-1-11-11
χ10111111111111111-1-11111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1111-1-1-111-1-11-1-1-111-1-111-1-11111-1
χ11111111111111111-1-1111111111-11-1-1-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1-1-1-111
χ12111111111111111-1-1111111111-11-1-1-1-1-1-111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111-1-1-1
χ13111111111111111-1-11111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-111111-1-11-1-111-1111-1-111-1-1-1-111-11-1
χ14111111111111111-1-11111111-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-11-11-1-1-111111111111-1-1-1-11
χ15111111111111111-1-11111111-1-1-11-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-111-1-1-1-111111-1-1
χ16111111111111111-1-11111111-1-1-11-1-1-1-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-1-1111
χ17222222-2-2222222200222-2-2-2-22200000000-2-200000000-2002-2002222-2-20000000000-2000000000-2200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-200000000-200-2200-2-222220000000000-20000000002-200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-2000000002002-20022-2-2-2-2000000000020000000002-200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-200000000200-2200-2-2-2-22200000000002000000000-2200000
χ2122222-122-1-122-12-122-1-1-12-12-1222222-1-122-1-122-1-1-1-1-1-1200000000-1-100-1-1-1-1-122000-1-1-1200-1-1000000-100
χ2222222-122-1-122-12-122-1-1-12-12-122-2-222-1-1-2-2-1-1-2-2111111200000000-1-100111-1-12-2000-1-1-1-20011000000100
χ2322222-122-1-122-12-122-1-1-12-12-1-2-22222-1-122-1-122-1-1-1-1-1-1-2000000001100-1-1-1-1-1-2-2000111-20011000000100
χ2422222-122-1-122-12-122-1-1-12-12-1-2-2-2-222-1-1-2-2-1-1-2-2111111-2000000001100111-1-1-22000111200-1-1000000-100
χ2522222-122-1-122-12-1-2-2-1-1-12-12-1222-2-2-21122-1-1-2-2111111200000000-1-100-1-1-111-22000-111-20011000000-100
χ2622222-122-1-122-12-1-2-2-1-1-12-12-122-22-2-211-2-2-1-122-1-1-1-1-1-1200000000-1-10011111-2-2000-111200-1-1000000100
χ2722222-122-1-122-12-1-2-2-1-1-12-12-1-2-22-2-2-21122-1-1-2-2111111-2000000001100-1-1-1112-20001-1-1200-1-1000000100
χ2822222-122-1-122-12-1-2-2-1-1-12-12-1-2-2-22-2-211-2-2-1-122-1-1-1-1-1-1-200000000110011111220001-1-1-20011000000-100
χ292222-122222-1-12-1-122-1-1-1-12-120022-1-122-1-1-1-1-1-122-1-1-1-10222222-1-100-1-12-1-1-1-1002-1-10000-1-100-1-10000000
χ302222-122222-1-12-1-122-1-1-1-12-120022-1-122-1-1-1-1-1-122-1-1-1-10-2-2-2-2-2-21100112-1-1-1-100-21100001100110000000
χ312222-122222-1-12-1-122-1-1-1-12-1200-2-2-1-12211-1-111-2-21111022-2-222110011-211-1-100-2-1-100001100-1-10000000
χ322222-122222-1-12-1-122-1-1-1-12-1200-2-2-1-12211-1-111-2-211110-2-222-2-2-1-100-1-1-211-1-1002110000-1-100110000000
χ332222-122222-1-12-1-1-2-2-1-1-1-12-12002-211-2-2-1-1-1-111-2-2111102222-2-2-1-100-1-12-1-11100-2-1-100001100110000000
χ342222-122222-1-12-1-1-2-2-1-1-1-12-12002-211-2-2-1-1-1-111-2-211110-2-2-2-2221100112-1-111002110000-1-100-1-10000000
χ352222-122222-1-12-1-1-2-2-1-1-1-12-1200-2211-2-211-1-1-1-122-1-1-1-1022-2-2-2-2110011-21111002-1-10000-1-100110000000
χ362222-122222-1-12-1-1-2-2-1-1-1-12-1200-2211-2-211-1-1-1-122-1-1-1-10-2-22222-1-100-1-1-2111100-21100001100-1-10000000
χ372-2-2222-22-2-22-22-222-2-2-22-2-22200002-22-2002-20000000002-2002-20000000002-20002-2000000002-20000000
χ382-2-2222-22-2-22-22-222-2-2-22-2-22200002-22-2002-2000000000-2200-220000000002-2000-2200000000-220000000
χ392-2-2222-22-2-22-22-22-22-2-22-2-2220000-22-22002-20000000002-200-22000000000-220002-200000000-220000000
χ402-2-2222-22-2-22-22-22-22-2-22-2-2220000-22-22002-2000000000-22002-2000000000-22000-22000000002-20000000
χ412-2-22-12-22-2-2-1121-12-211-11-2-120000-112-23−3-113−30033−3−302-2002-23−3003−303−3-11000-1100003−300-110000000
χ422-2-22-12-22-2-2-1121-12-211-11-2-120000-112-23−3-113−30033−3−30-2200-22−3300−3303−3-110001-10000−33001-10000000
χ432-2-22-12-22-2-2-1121-12-211-11-2-120000-112-2−33-11−3300−3−33302-2002-2−3300−330−33-11000-110000−3300-110000000
χ442-2-22-12-22-2-2-1121-12-211-11-2-120000-112-2−33-11−3300−3−3330-2200-223−3003−30−33-110001-100003−3001-10000000
χ452-2-22-12-22-2-2-1121-1-2211-11-2-1200001-1-223−3-11−3300−3−33302-200-223−3003−303−31-1000-110000−33001-10000000
χ462-2-22-12-22-2-2-1121-1-2211-11-2-1200001-1-223−3-11−3300−3−3330-22002-2−3300−3303−31-10001-100003−300-110000000
χ472-2-22-12-22-2-2-1121-1-2211-11-2-1200001-1-22−33-113−30033−3−302-200-22−3300−330−331-1000-1100003−3001-10000000
χ482-2-22-12-22-2-2-1121-1-2211-11-2-1200001-1-22−33-113−30033−3−30-22002-23−3003−30−331-10001-10000−3300-110000000
χ4944444-2-4-4-2-244-24-200-2-2-2-42-4244000000002200000000-400000000-2-200000000000020000000000000000
χ5044444-2-4-4-2-244-24-200-2-2-2-42-42-4-400000000220000000040000000022000000000000-20000000000000000
χ514444-24-4-444-2-24-2-200-2-2-22-42-4000000000022000000000004-400-2-20022000000000000000000000000000
χ524444-24-4-444-2-24-2-200-2-2-22-42-400000000002200000000000-44002200-2-2000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-2-2-211-2-2-2-211110000000000000-211110000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-2-2-222112222-1-1-1-100000000000002-1-1110000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-42222-2-2112222-1-1-1-10000000000000-211-1-10000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-4422222211-2-2-2-2111100000000000002-1-1-1-10000000000000000000000
χ5744-4-444004-4-44-4-44004-4-400004i−4i0000000000000000000000000004i−4i00000000000000000000000000000
χ5844-4-444004-4-44-4-44004-4-40000−4i4i000000000000000000000000000−4i4i00000000000000000000000000000
χ5944-4-44-200-22-442-4-200-22200004i−4i000000000000i6−i6i6−i6i6−i6000000000−2i2i0000000000000000006−6000000000
χ6044-4-44-200-22-442-4-200-22200004i−4i000000000000−i6i6−i6i6−i6i6000000000−2i2i000000000000000000−66000000000
χ6144-4-44-200-22-442-4-200-2220000−4i4i000000000000i6−i6i6−i6i6−i60000000002i−2i000000000000000000−66000000000
χ6244-4-44-200-22-442-4-200-2220000−4i4i000000000000−i6i6−i6i6−i6i60000000002i−2i0000000000000000006−6000000000
χ634-44-44400-44-4-4-44400-44-40000000000000000000000000000000000000000000000000000000000022−22000
χ644-44-44400-44-4-4-44400-44-400000000000000000000000000000000000000000000000000000000000−2222000
χ654-4-44444-4-4-44-44-4400-4-4444-4-40000000000-44000000000000000000000000000000000000000000000000
χ664-4-444-24-4224-4-2-4-20022-24-2-4200000000002-200000000000000000000000000000000−2i32i300000000000000
χ674-4-444-24-4224-4-2-4-20022-24-2-4200000000002-2000000000000000000000000000000002i3−2i300000000000000
χ684-4-444-2-44224-4-2-4-24-422-2-424-200004-4-2200-22000000000000000000000000-220000000000000000000000
χ694-4-444-2-44224-4-2-4-2-4422-2-424-20000-442-200-220000000000000000000000002-20000000000000000000000
χ704-4-44-244-4-4-4-2242-20022-2-242-400000000002-200000000000000023−2300−2323000000000000000000000000000
χ714-4-44-244-4-4-4-2242-20022-2-242-400000000002-2000000000000000−23230023−23000000000000000000000000000
χ724-4-44-2-2-4422-22-2214-4-1-1122-2-20000-22-2223−231-123−2300−3−33300000000000000−331-10000000000000000000000
χ734-4-44-2-2-4422-22-2214-4-1-1122-2-20000-22-22−23231-1−23230033−3−3000000000000003−31-10000000000000000000000
χ744-4-44-2-2-4422-22-221-44-1-1122-2-200002-22-223−231-1−23230033−3−300000000000000−33-110000000000000000000000
χ754-4-44-2-2-4422-22-221-44-1-1122-2-200002-22-2−23231-123−2300−3−333000000000000003−3-110000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-8-48008-84-4-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-444-4442002-2-20000000000000000002i6−2i6−i6i6−i6i60000000000000000000000000000000000000000
χ7988-8-8-4-400-444-4442002-2-2000000000000000000−2i62i6i6−i6i6−i60000000000000000000000000000000000000000
χ808-88-88-4004-4-8-848-4004-440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4800-8844-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-4444-4200-22-200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ838-88-8-4-4004-4444-4200-22-2000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ848-8-88-4-48-844-44-44200-2-22-4-4440000000000-22000000000000000000000000000000000000000000000000

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