Finite Group Databasebeta

← Group #11887656

Character table — Group #11887656

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121616161616161818181818182424242424242424242424242424363636484872
order12223344666666344666881212121222444121212121212242424242424242444668888121212121212121222888844441212121212122424242444412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1111-1-111-1-1-1-1-11-1-1
χ311111111111111111111111111-1-1111111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-11-1
χ411111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11-11-1111111-1-1-1-11-1-1-1-11
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-111111-1-11-1111-1-1-1-111-111-11-1
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-111-1-1-1-11111-111-11-1-1-11111-1-1-1111-1-1
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-11-11-1-1-1-1-1-111111-1-1111
χ9111111111111111-1-11111111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11111-1-1-111-111
χ11111111111111111-1-1111111111-1-111-1-1-1-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-111-1111-11
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11-1-111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-11-1111-1-1-1-1-1-1-1-111111-1
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-11111-111-1-11-1-111-1-111-1-1-11-11
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-111-1-111111-1-111-111-1-111-1-1-1-1-1-111
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11-11-1-1-111111111111-1-1-1
χ17222222-2-222222220022200-2-2-2-2222200000-2-200000000-2-2220000220000002200000000-2-200000000-200000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-2000000002-2220000-2-2000000-2-2000000002-200000000200000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-200000000-22-2-2000022000000-2-200000000-2200000000200000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-20000000022-2-20000-2-200000022000000002200000000-200000
χ2122222-122-122-1-12-122-1-1-1222-1-122200222-1-1-1-1-1-122-1-1-1-102-1-1220000-12-1-1-1-100000022000-1-1-100-1-100000-100
χ2222222-122-122-1-12-122-1-1-1222-1-12-2-200222-1-1-1-1-1-122-1-1-1-10-211-2-20000-12-1-1-1-1000000-2-2000111001100000100
χ2322222-122-122-1-12-122-1-1-1-2-22-1-122200-222-1-1-1-111-2-2111102-1-1-2-200001-2-1-1110000002-2000-1-1-1001100000100
χ2422222-122-122-1-12-122-1-1-1-2-22-1-12-2-200-222-1-1-1-111-2-211110-2112200001-2-1-111000000-2200011100-1-100000-100
χ2522222-122-122-1-12-1-2-2-1-1-1222-1-122200-2-2-211-1-1-1-122-1-1-1-102-1-12200001-21111000000-2-2000-11100-1-100000100
χ2622222-122-122-1-12-1-2-2-1-1-1222-1-12-2-200-2-2-211-1-1-1-122-1-1-1-10-211-2-200001-21111000000220001-1-1001100000-100
χ2722222-122-122-1-12-1-2-2-1-1-1-2-22-1-1222002-2-211-1-111-2-2111102-1-1-2-20000-1211-1-1000000-22000-111001100000-100
χ2822222-122-122-1-12-1-2-2-1-1-1-2-22-1-12-2-2002-2-211-1-111-2-211110-211220000-1211-1-10000002-20001-1-100-1-100000100
χ292222-12222-1-122-1-122-1-1-122-122-100222-1-122-1-122-1-1-1-1-1-120000022-1-12-1-1-1-1-10000000022-1000-1-100-1-10000-10
χ302222-12222-1-122-1-122-1-1-122-122-100-2-22-1-122-1-122-1-1-1-1-1-1-200000-2-2112-1-1-1-1-100000000-2-21000110011000010
χ312222-12222-1-122-1-122-1-1-1-2-2-122-10022-2-1-122-1-1-2-2111111200000-2-2-1-1-21-1-111000000002-2-1000-1-10011000010
χ322222-12222-1-122-1-122-1-1-1-2-2-122-100-2-2-2-1-122-1-1-2-2111111-2000002211-21-1-11100000000-2210001100-1-10000-10
χ332222-12222-1-122-1-1-2-2-1-1-122-122-10022-211-2-2-1-122-1-1-1-1-1-120000022-1-1-21111100000000-2-2-10001100-1-1000010
χ342222-12222-1-122-1-1-2-2-1-1-122-122-100-2-2-211-2-2-1-122-1-1-1-1-1-1-200000-2-211-21111100000000221000-1-100110000-10
χ352222-12222-1-122-1-1-2-2-1-1-1-2-2-122-10022211-2-2-1-1-2-2111111200000-2-2-1-12-111-1-100000000-22-10001100110000-10
χ362222-12222-1-122-1-1-2-2-1-1-1-2-2-122-100-2-2211-2-2-1-1-2-2111111-20000022112-111-1-1000000002-21000-1-100-1-1000010
χ3722-2-2220022-2-2-2-22002-2-22−200002-22-200000002−22−222−2−2002-22−22−22-20000002-222−2−200000000002−22−2000000
χ3822-2-2220022-2-2-2-22002-2-22−200002-2-2200000002−22−222−2−2002-22−2−22-22000000-22−2−22200000000002−2−22000000
χ3922-2-2220022-2-2-2-22002-2-22−20000-222-200000002−22−222−2−200-22−222−22-2000000-22−2−2220000000000−222−2000000
χ4022-2-2220022-2-2-2-22002-2-22−20000-22-2200000002−22−222−2−200-22−22−22-220000002-222−2−20000000000−22−22000000
χ4122-2-2220022-2-2-2-22002-2-2−2200002-22-20000000−22−22−2−222002-2−22−222-20000002-2−2−2220000000000−22−22000000
χ4222-2-2220022-2-2-2-22002-2-2−2200002-2-220000000−22−22−2−222002-2−222−2-22000000-2222−2−20000000000−222−2000000
χ4322-2-2220022-2-2-2-22002-2-2−220000-222-20000000−22−22−2−22200-222−2−222-2000000-2222−2−200000000002−2−22000000
χ4422-2-2220022-2-2-2-22002-2-2−220000-22-220000000−22−22−2−22200-222−22−2-220000002-2−2−22200000000002−22−2000000
χ452-2-22222-2-2-2-22-2222i−2i-2-22002-22-2000002i−2i2i−2i2-2000000000000000000002i−2i00002i−2i2i−2i0000000000000002-2000
χ462-2-22222-2-2-2-22-2222i−2i-2-22002-22-2000002i−2i2i−2i2-2000000000000000000002i−2i0000−2i2i−2i2i000000000000000-22000
χ472-2-22222-2-2-2-22-222−2i2i-2-22002-22-200000−2i2i−2i2i2-200000000000000000000−2i2i00002i−2i2i−2i000000000000000-22000
χ482-2-22222-2-2-2-22-222−2i2i-2-22002-22-200000−2i2i−2i2i2-200000000000000000000−2i2i0000−2i2i−2i2i0000000000000002-2000
χ4944444-2-4-4-244-2-24-200-2-2-200-422-444000000022000000000-4-2-200000000000000000000000200000000000000
χ5044444-2-4-4-244-2-24-200-2-2-200-422-4-4-400000002200000000042200000000000000000000000-200000000000000
χ514444-24-4-44-2-244-2-200-2-2-2002-4-420044000002200000000-40000000-2-200000000000000002000000000000000
χ524444-24-4-44-2-244-2-200-2-2-2002-4-4200-4-400000220000000040000000220000000000000000-2000000000000000
χ534444-2-244-2-2-2-2-2-214411144-2-2-2-200004-2-2-2-211-2-2-2-211110000000000-2-2111100000000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-100000000002211-1-100000000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-411144-2-2-2-20000-4222211-2-2-2-21111000000000022-1-1-1-100000000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2000042222112222-1-1-1-10000000000-2-2-1-11100000000000000000000000000
χ5744-4-44-200-24-422-4-200-22222−2200004-4000000000−2222−22−2−22200-2222−2200000000000000000000000000−2200000000
χ5844-4-44-200-24-422-4-200-22222−220000-44000000000−2222−22−2−222002-2−2222000000000000000000000000002−200000000
χ5944-4-44-200-24-422-4-200-222−222200004-40000000002−2−222222−2−200-22−2222000000000000000000000000002−200000000
χ6044-4-44-200-24-422-4-200-222−22220000-440000000002−2−222222−2−2002-222−2200000000000000000000000000−2200000000
χ6144-4-4-24004-22-4-42-200-22222−220000004-4000000022−22−22−2−22200000022−22-22000000000000000000000000−22000000
χ6244-4-4-24004-22-4-42-200-22222−22000000-44000000022−22−22−2−222000000−22222-20000000000000000000000002−2000000
χ6344-4-4-24004-22-4-42-200-222−22220000004-40000000−22222−222−2−2000000−2222-220000000000000000000000002−2000000
χ6444-4-4-24004-22-4-42-200-222−2222000000-440000000−22222−222−2−200000022−222-2000000000000000000000000−22000000
χ654-44-44400-4-44-44-4400-44-40000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ664-44-44400-4-44-44-4400-44-400000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ674-4-4444-44-4-4-44-44400-4-4400-44-44000000000-4400000000000000000000000000000000000000000000000000
χ684-4-444-24-42-4-4-224-24i−4i22-20042-2-4000004i−4i−2i2i-2200000000000000000000−2i2i0000000000000000000000000000
χ694-4-444-24-42-4-4-224-2−4i4i22-20042-2-400000−4i4i2i−2i-22000000000000000000002i−2i0000000000000000000000000000
χ704-4-444-2-442-4-4-224-20022-200-4-2240000000002-200000000000000000000000000000000000023−23000000000000
χ714-4-444-2-442-4-4-224-20022-200-4-2240000000002-2000000000000000000000000000000000000−2323000000000000
χ724-4-44-244-4-4224-4-2-24i−4i22-200-2-44200000−2i2i4i−4i-2200000000000000000000−2i2i0000000000000000000000000000
χ734-4-44-244-4-4224-4-2-2−4i4i22-200-2-442000002i−2i−4i4i-22000000000000000000002i−2i0000000000000000000000000000
χ744-4-44-24-44-4224-4-2-20022-20024-4-20000000002-200000000000000000000000000000000000000−2i32i30000000000
χ754-4-44-24-44-4224-4-2-20022-20024-4-20000000002-2000000000000000000000000000000000000002i3−2i30000000000
χ764-4-44-2-24-4222-22-214i−4i-1-1100-22-2200000−2i2i−2i2i1-100003i−3i3i−3i000000000000i−i3-300000000000000000000000000
χ774-4-44-2-24-4222-22-214i−4i-1-1100-22-2200000−2i2i−2i2i1-10000−3i3i−3i3i000000000000i−i-3300000000000000000000000000
χ784-4-44-2-24-4222-22-21−4i4i-1-1100-22-22000002i−2i2i−2i1-100003i−3i3i−3i000000000000−ii-3300000000000000000000000000
χ794-4-44-2-24-4222-22-21−4i4i-1-1100-22-22000002i−2i2i−2i1-10000−3i3i−3i3i000000000000−ii3-300000000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-444442002-2-242−42000000000000000−2222−222222−2−2000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-444442002-2-2−424200000000000000022−2222−22−2−222000000000000000000000000000000000000000000
χ838-88-88-4004-884-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4800-84-4-884-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ858-88-8-4-40044-44-44200-22-2000000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ868-88-8-4-40044-44-44200-22-20000000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000
χ878-8-88-4-4-88444-44-4200-2-22004-44-4000000000-2200000000000000000000000000000000000000000000000000

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