Finite Group Databasebeta

← Group #11895995

Character table — Group #11895995

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121212121216161616161624242424242424242436364848727272
order1222334466666636668812121212242424244424661212121224242424242444444448812121212121212122424242466612121224812121212242444612248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-11-11111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111-11-11111-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11
χ51111111111111111111111111111-1-11111111111111111111-11-1-1-1-111-1-111-1-1-1-1111111-1-11111111-1-1-1-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1
χ9111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-111-1-1-11-1-1-111-1-111-1-1-1-1-1-1111-1-1-11-1111-1-111-1-11-1-111
χ10111111111111111111-1-11111-1-1-1-1111-111-1-111-1-1-1-1-1-1-1-111111-1-111111111-1-1-1-1111-1-1-11-1-1-1-111-1-1111-11-1-1
χ11111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-111-1-1111-1-111111111-1-1-1-1-1-1-1111-11-111-1-1-1-111-11-11-1
χ12111111111111111111-1-11111-1-1-1-111-11-1-11111-1-1-1-1-1-1-1-111-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1111-111-1-11111-1-1-111-11
χ13111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-11111-111-1-1
χ14111111111111111111-1-11111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1111-1111-1-111-1-1111111111-1-1-1-11-1-1-111-1-1-1-1-11-111
χ15111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-11-1111-1-111-1-1111111-1-1-11111-1-111-1-1-1-1-1-11-11-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-11111-11-1-11111111-1-11-1
χ17222222-2-2222222222200-2-2-2-2000022000000-2-200000000002-2-200-2-2-2-2222200000000000000000002-200000
χ18222222-2-2222222222200-2-2-2-2000022000000-2-20000000000-2-2200-2-22222-2-20000000000000000000-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-2000000-2-2000000000022-20022-2-2-2-2220000000000000000000-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-2000000-2-20000000000-222002222-2-2-2-200000000000000000002-200000
χ2122222-122-12-122-1-1-1-1-122-12-12-1-1-1-122222222-1-122-1-1-1-1000002022-1-100-1-100-1-1-1-1-1-1-1-1-1-122000000000-1-1000
χ2222222-122-12-122-1-1-1-1-122-12-12-1-1-1-122-2-2-2-2-2-2-1-122-1-1-1-1000002022-1-100-1-100-1-1-1-1111111-2-200000000011000
χ2322222-122-12-122-1-1-1-1-122-12-12-1-1-1-1-2-2222222-1-122-1-1-1-100000-20-2-2110011001111-1-1-1-1-1-1-2-200000000011000
χ2422222-122-12-122-1-1-1-1-122-12-12-1-1-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-100000-20-2-211001100111111111122000000000-1-1000
χ2522222-122-12-122-1-1-1-1-1-2-2-12-121111222-222-2-2-1-1-2-211110000020-2-2-1-100-1-1001111-1-1-11112-2000000000-11000
χ2622222-122-12-122-1-1-1-1-1-2-2-12-12111122-22-2-222-1-1-2-211110000020-2-2-1-100-1-1001111111-1-1-1-220000000001-1000
χ2722222-122-12-122-1-1-1-1-1-2-2-12-121111-2-22-222-2-2-1-1-2-2111100000-202211001100-1-1-1-1-1-1-1111-220000000001-1000
χ2822222-122-12-122-1-1-1-1-1-2-2-12-121111-2-2-22-2-222-1-1-2-2111100000-202211001100-1-1-1-1111-1-1-12-2000000000-11000
χ292222-12222-12-1-12-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-1-1-122222020000-1-100-1-100002-1-12-1-1002-1-1-1-1-1-10000000
χ302222-12222-12-1-12-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-20-2000011001100002-1-12-1-100-21111110000000
χ312222-12222-12-1-12-1-1-1-1222-12-1222200-2-21111-1-1-1-1-1-1-1-12222-20-200001100110000-211-21100-2-1-1-1-1110000000
χ322222-12222-12-1-12-1-1-1-1222-12-1222200-2-21111-1-1-1-1-1-1-1-1-2-2-2-22020000-1-100-1-10000-211-2110021111-1-10000000
χ332222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-111-1-111111122-2-2-20-2000011001100002-1-1-211002-1-111-1-10000000
χ342222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-2002-2-1-111-1-1111111-2-2222020000-1-100-1-100002-1-1-21100-211-1-1110000000
χ352222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-2211-1-1-1-111111122-2-22020000-1-100-1-10000-2112-1-100-2-1-111110000000
χ362222-12222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-2211-1-1-1-1111111-2-222-20-200001100110000-2112-1-100211-1-1-1-10000000
χ3722-2-222-222-2-22-2-22-22-22i−2i-2-2222i2i−2i−2i000000002-22i−2i2i2i−2i−2i2-22i−2i000000000000000000000000002-22i−2i000000000
χ3822-2-222-222-2-22-2-22-22-22i−2i-2-2222i2i−2i−2i000000002-22i−2i2i2i−2i−2i-22−2i2i00000000000000000000000000-22−2i2i000000000
χ3922-2-222-222-2-22-2-22-22-2−2i2i-2-222−2i−2i2i2i000000002-2−2i2i−2i−2i2i2i2-2−2i2i000000000000000000000000002-2−2i2i000000000
χ4022-2-222-222-2-22-2-22-22-2−2i2i-2-222−2i−2i2i2i000000002-2−2i2i−2i−2i2i2i-222i−2i00000000000000000000000000-222i−2i000000000
χ4122-2-2-12-2221-2-11-2-11-112i−2i-212-12i2i−2i−2i0000−i3i33−3-11−ii−i−iii2-22i−2i00000003−3003−300000−i3i303−3000-11−ii−i3i30000000
χ4222-2-2-12-2221-2-11-2-11-112i−2i-212-12i2i−2i−2i0000−i3i33−3-11−ii−i−iii-22−2i2i0000000−3300−3300000−i3i303−30001-1i−ii3−i30000000
χ4322-2-2-12-2221-2-11-2-11-112i−2i-212-12i2i−2i−2i0000i3−i3−33-11−ii−i−iii2-22i−2i0000000−3300−3300000i3−i30−33000-11−iii3−i30000000
χ4422-2-2-12-2221-2-11-2-11-112i−2i-212-12i2i−2i−2i0000i3−i3−33-11−ii−i−iii-22−2i2i00000003−3003−300000i3−i30−330001-1i−i−i3i30000000
χ4522-2-2-12-2221-2-11-2-11-11−2i2i-212-1−2i−2i2i2i0000−i3i3−33-11i−iii−i−i2-2−2i2i0000000−3300−3300000−i3i30−33000-11i−i−i3i30000000
χ4622-2-2-12-2221-2-11-2-11-11−2i2i-212-1−2i−2i2i2i0000−i3i3−33-11i−iii−i−i-222i−2i00000003−3003−300000−i3i30−330001-1−iii3−i30000000
χ4722-2-2-12-2221-2-11-2-11-11−2i2i-212-1−2i−2i2i2i0000i3−i33−3-11i−iii−i−i2-2−2i2i00000003−3003−300000i3−i303−3000-11i−ii3−i30000000
χ4822-2-2-12-2221-2-11-2-11-11−2i2i-212-1−2i−2i2i2i0000i3−i33−3-11i−iii−i−i-222i−2i0000000−3300−3300000i3−i303−30001-1−ii−i3i30000000
χ4944444-2-4-4-24-244-2-2-2-2-2002-42-40000440000002200000000000-40002200-2-20000000000000000000000000000
χ5044444-2-4-4-24-244-2-2-2-2-2002-42-40000-4-400000022000000000004000-2-200220000000000000000000000000000
χ514444-24-4-44-24-2-24-2-2-2-200-42-4200000000000022000000000040-400002200-2-200000000000000000000000000
χ524444-24-4-44-24-2-24-2-2-2-200-42-42000000000000220000000000-4040000-2-2002200000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20044-2-2-2-211-2-21111000000000000000000000-211-2110000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200-4-4222211-2-211110000000000000000000002-1-12-1-10000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-4-2-2221122-1-1-1-1000000000000000000000-2112-1-10000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-4422-2-21122-1-1-1-10000000000000000000002-1-1-2110000000000000000
χ5744-4-4444-44-4-44-4-44-44-40044-4-4000000000000-440000000000000000000000000000000000000000000000000
χ5844-4-44-24-4-2-424-42-22-2200-242-40000000000002-2000000000000000000000002323−23−230000000000000000000000
χ5944-4-44-24-4-2-424-42-22-2200-242-40000000000002-200000000000000000000000−23−2323230000000000000000000000
χ6044-4-44-2-44-2-424-42-22-224i−4i2-4-24−2i−2i2i2i00000000-224i−4i−2i−2i2i2i0000000000000000000000000000000000000000000
χ6144-4-44-2-44-2-424-42-22-22−4i4i2-4-242i2i−2i−2i00000000-22−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000
χ6244-4-4-244-442-4-22-4-22-22004-2-420000000000002-20000000000000000023−2300−232300000000000000000000000000
χ6344-4-4-244-442-4-22-4-22-22004-2-420000000000002-200000000000000000−23230023−2300000000000000000000000000
χ6444-4-4-2-2-44-222-2221-11-14i−4i22-2-2−2i−2i2i2i0000−2i32i323−231-1−2i2iii−i−i0000000000000000000000i3−i30−330000000000000000
χ6544-4-4-2-2-44-222-2221-11-14i−4i22-2-2−2i−2i2i2i00002i3−2i3−23231-1−2i2iii−i−i0000000000000000000000−i3i303−30000000000000000
χ6644-4-4-2-2-44-222-2221-11-1−4i4i22-2-22i2i−2i−2i0000−2i32i3−23231-12i−2i−i−iii0000000000000000000000i3−i303−30000000000000000
χ6744-4-4-2-2-44-222-2221-11-1−4i4i22-2-22i2i−2i−2i00002i3−2i323−231-12i−2i−i−iii0000000000000000000000−i3i30−330000000000000000
χ684-44-44400-4-4-4-4444-4-4400000000004-40000000000000000000000000004-40000000000000000000000000000
χ694-44-44400-4-4-4-4444-4-440000000000-44000000000000000000000000000-440000000000000000000000000000
χ704-44-44-2002-42-44-2-222-2000000i6−i6i6−i64-40000000000i6−i6i6−i60000000000000-2200i6−i6i6−i60000000000000000000000
χ714-44-44-2002-42-44-2-222-2000000i6−i6i6−i6-440000000000i6−i6i6−i600000000000002-200−i6i6−i6i60000000000000000000000
χ724-44-44-2002-42-44-2-222-2000000−i6i6−i6i64-40000000000−i6i6−i6i60000000000000-2200−i6i6−i6i60000000000000000000000
χ734-44-44-2002-42-44-2-222-2000000−i6i6−i6i6-440000000000−i6i6−i6i600000000000002-200i6−i6i6−i60000000000000000000000
χ744-4-444400-444-4-4-444-4-4000000000000000000000000000000000−2i22i200000000−2i22i22i2−2i20000000000000000000000
χ754-4-444400-444-4-4-444-4-40000000000000000000000000000000002i2−2i2000000002i2−2i2−2i22i20000000000000000000000
χ764-4-444-20024-2-4-42-2-2220000006−6−660000000000006−6−660000000−2i22i2−2i32i3000000i2−i2−i2i20000000000000000000000
χ774-4-444-20024-2-4-42-2-2220000006−6−660000000000006−6−6600000002i2−2i22i3−2i3000000−i2i2i2−i20000000000000000000000
χ784-4-444-20024-2-4-42-2-222000000−666−6000000000000−666−60000000−2i22i22i3−2i3000000i2−i2−i2i20000000000000000000000
χ794-4-444-20024-2-4-42-2-222000000−666−6000000000000−666−600000002i2−2i2−2i32i3000000−i2i2i2−i20000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-42222004444000000000000-2-20000000000000000000000000000000000000000000000000
χ8188-8-8-4-48-8-444-4442-22-200-4-444000000000000-220000000000000000000000000000000000000000000000000
χ828-88-8-4800-84-84-48-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-4004444-4-42-2-220000002i6−2i62i6−2i6000000000000−i6i6−i6i60000000000000000000000000000000000000000000
χ848-88-8-4-4004444-4-42-2-22000000−2i62i6−2i62i6000000000000i6−i6i6−i60000000000000000000000000000000000000000000
χ858-8-88-4800-8-4844-8-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-4-444422-2-200000026−26−2626000000000000−666−60000000000000000000000000000000000000000000
χ878-8-88-4-4004-4-444422-2-2000000−262626−260000000000006−6−660000000000000000000000000000000000000000000

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