Finite Group Databasebeta

← Group #11896096

Character table — Group #11896096

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121212121216161616161624242424242424242436364848727272
order1222334466666636668812121212242424244444121212121212242424242424444444488121212121212121224242424121212121212448121212122424441212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-11-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111-11-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1
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
χ51111111111111111111111111111-1-11111111111111111111-11-1-1-1-11111-1-1-1-1-1-1111111-1-11111111-1-1-1-1-1-1-1
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
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1
χ9111111111111111111-1-11111-1-1-1-1111-1-1-11111-1-1-1-1-1-111-1-1-11-1-1-111-1-1-1-111-1-1-1-11-1-1-1111-1111-1-111-1-11-1-111
χ10111111111111111111-1-11111-1-1-1-1111-1-1-11111-1-1-1-1-1-1-1-111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-111-1-1111-11-1-1
χ11111111111111111111-1-11111-1-1-1-111-1111-1-111-1-1-1-1-1-111-1-1111-1-111111111-1-1-1-1-1111-1-1-11-111-1-1-1-111-11-11-1
χ12111111111111111111-1-11111-1-1-1-111-1111-1-111-1-1-1-1-1-1-1-111-11-1-1-111-1-1-1-111-1-1-1-1-1111-1-1-111-1-11111-1-1-111-11
χ13111111111111111111-1-11111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-111-11111-1-11111-111-1-1
χ14111111111111111111-1-11111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111-1111-1-11111-1-111111-1-1-111-11-1-1-111-1-1-1-1-11-111
χ15111111111111111111-1-11111-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111-1-11-1111-1-11111-1-11111-1111-1-11-1-111-1-1-1-1-1-11-11-11
χ16111111111111111111-1-11111-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1111-1-11-11-1-11111111-1-11-1
χ17222222-2-2222222222200-2-2-2-2000022000000-2-200000000002-2-20022-2-222-2-200000000000000000002-200000
χ18222222-2-2222222222200-2-2-2-2000022000000-2-20000000000-2-22002222-2-2-2-20000000000000000000-2200000
χ19222222-2-2222222222200-2-2-2-20000-2-2000000-2-2000000000022-200-2-2-2-222220000000000000000000-2200000
χ20222222-2-2222222222200-2-2-2-20000-2-2000000-2-20000000000-22200-2-222-2-22200000000000000000002-200000
χ2122222-1222-12-1-12-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-1-1-122222020000-1-1-1-100000022-1-1-1-1002-1-1-1-1-1-10000000
χ2222222-1222-12-1-12-1-1-1-1222-12-122220022-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-20-20000111100000022-1-1-1-100-21111110000000
χ2322222-1222-12-1-12-1-1-1-1222-12-1222200-2-21111-1-1-1-1-1-1-1-12222-20-200001111000000-2-2111100-2-1-1-1-1110000000
χ2422222-1222-12-1-12-1-1-1-1222-12-1222200-2-21111-1-1-1-1-1-1-1-1-2-2-2-22020000-1-1-1-1000000-2-211110021111-1-10000000
χ2522222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-2002-211-1-1-1-111111122-2-2-20-2000011110000002-211-1-1002-1-111-1-10000000
χ2622222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-2002-211-1-1-1-1111111-2-2222020000-1-1-1-10000002-211-1-100-211-1-1110000000
χ2722222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-22-1-111-1-111111122-2-22020000-1-1-1-1000000-22-1-11100-2-1-111110000000
χ2822222-1222-12-1-12-1-1-1-1-2-22-12-1-2-2-2-200-22-1-111-1-1111111-2-222-20-200001111000000-22-1-11100211-1-1-1-10000000
χ292222-1222-12-122-1-1-1-1-122-12-12-1-1-1-122222222-1-122-1-1-1-1000002022-1-10000-1-1-1-1-1-1-1-1-1-1-1-122000000000-1-1000
χ302222-1222-12-122-1-1-1-1-122-12-12-1-1-1-122-2-2-2-2-2-2-1-122-1-1-1-1000002022-1-10000-1-1-1-1-1-1111111-2-200000000011000
χ312222-1222-12-122-1-1-1-1-122-12-12-1-1-1-1-2-2222222-1-122-1-1-1-100000-20-2-2110000111111-1-1-1-1-1-1-2-200000000011000
χ322222-1222-12-122-1-1-1-1-122-12-12-1-1-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-100000-20-2-211000011111111111122000000000-1-1000
χ332222-1222-12-122-1-1-1-1-1-2-2-12-121111222-2-2-222-1-1-2-211110000020-2-2-1-10000-1-11111-1111-1-12-2000000000-11000
χ342222-1222-12-122-1-1-1-1-1-2-2-12-12111122-2222-2-2-1-1-2-211110000020-2-2-1-10000-1-111111-1-1-111-220000000001-1000
χ352222-1222-12-122-1-1-1-1-1-2-2-12-121111-2-22-2-2-222-1-1-2-2111100000-202211000011-1-1-1-1-1111-1-1-220000000001-1000
χ362222-1222-12-122-1-1-1-1-1-2-2-12-121111-2-2-2222-2-2-1-1-2-2111100000-202211000011-1-1-1-11-1-1-1112-2000000000-11000
χ3722-2-222-22-2-222-2-22-2-222i−2i-2-2222i2i−2i−2i000000002-22i−2i2i2i−2i−2i2-22i−2i000000000000000000000000002-22i−2i000000000
χ3822-2-222-22-2-222-2-22-2-222i−2i-2-2222i2i−2i−2i000000002-22i−2i2i2i−2i−2i-22−2i2i00000000000000000000000000-22−2i2i000000000
χ3922-2-222-22-2-222-2-22-2-22−2i2i-2-222−2i−2i2i2i000000002-2−2i2i−2i−2i2i2i2-2−2i2i000000000000000000000000002-2−2i2i000000000
χ4022-2-222-22-2-222-2-22-2-22−2i2i-2-222−2i−2i2i2i000000002-2−2i2i−2i−2i2i2i-222i−2i00000000000000000000000000-222i−2i000000000
χ4122-2-22-1-22-212-11-2-111-12i−2i-212-12i2i−2i−2i00003−3−i3i3-11−ii−i−iii2-22i−2i00000003−33−3000000003−3−i3i3000-11−ii−i3i30000000
χ4222-2-22-1-22-212-11-2-111-12i−2i-212-12i2i−2i−2i00003−3−i3i3-11−ii−i−iii-22−2i2i0000000−33−33000000003−3−i3i30001-1i−ii3−i30000000
χ4322-2-22-1-22-212-11-2-111-12i−2i-212-12i2i−2i−2i0000−33i3−i3-11−ii−i−iii2-22i−2i0000000−33−3300000000−33i3−i3000-11−iii3−i30000000
χ4422-2-22-1-22-212-11-2-111-12i−2i-212-12i2i−2i−2i0000−33i3−i3-11−ii−i−iii-22−2i2i00000003−33−300000000−33i3−i30001-1i−i−i3i30000000
χ4522-2-22-1-22-212-11-2-111-1−2i2i-212-1−2i−2i2i2i00003−3i3−i3-11i−iii−i−i2-2−2i2i00000003−33−3000000003−3i3−i3000-11i−ii3−i30000000
χ4622-2-22-1-22-212-11-2-111-1−2i2i-212-1−2i−2i2i2i00003−3i3−i3-11i−iii−i−i-222i−2i0000000−33−33000000003−3i3−i30001-1−ii−i3i30000000
χ4722-2-22-1-22-212-11-2-111-1−2i2i-212-1−2i−2i2i2i0000−33−i3i3-11i−iii−i−i2-2−2i2i0000000−33−3300000000−33−i3i3000-11i−i−i3i30000000
χ4822-2-22-1-22-212-11-2-111-1−2i2i-212-1−2i−2i2i2i0000−33−i3i3-11i−iii−i−i-222i−2i00000003−33−300000000−33−i3i30001-1−iii3−i30000000
χ4944444-2-4-44-24-2-24-2-2-2-200-42-4200000000000022000000000040-4000022-2-20000000000000000000000000000
χ5044444-2-4-44-24-2-24-2-2-2-200-42-42000000000000220000000000-4040000-2-2220000000000000000000000000000
χ514444-24-4-4-24-244-2-2-2-2-2002-42-40000440000002200000000000-4000-2-200002200000000000000000000000000
χ524444-24-4-4-24-244-2-2-2-2-2002-42-40000-4-400000022000000000004000220000-2-200000000000000000000000000
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
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222004-422-2-21122-1-1-1-1000000000000000000000-22-1-1110000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200-44-2-2221122-1-1-1-10000000000000000000002-211-1-10000000000000000
χ5744-4-4444-4-4-444-4-44-4-440044-4-4000000000000-440000000000000000000000000000000000000000000000000
χ5844-4-44-24-4-424-22-4-222-2004-2-420000000000002-20000000000000000023−23−23230000000000000000000000000000
χ5944-4-44-24-4-424-22-4-222-2004-2-420000000000002-200000000000000000−232323−230000000000000000000000000000
χ6044-4-4-244-42-4-24-42-222-200-242-40000000000002-2000000000000000000000002323−23−230000000000000000000000
χ6144-4-4-244-42-4-24-42-222-200-242-40000000000002-200000000000000000000000−23−2323230000000000000000000000
χ6244-4-4-24-442-4-24-42-222-24i−4i2-4-24−2i−2i2i2i00000000-224i−4i−2i−2i2i2i0000000000000000000000000000000000000000000
χ6344-4-4-24-442-4-24-42-222-2−4i4i2-4-242i2i−2i−2i00000000-22−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000
χ6444-4-4-2-2-4422-2-2221-1-114i−4i22-2-2−2i−2i2i2i000023−23−2i32i31-1−2i2iii−i−i00000000000000000000000−33i3−i30000000000000000
χ6544-4-4-2-2-4422-2-2221-1-114i−4i22-2-2−2i−2i2i2i0000−23232i3−2i31-1−2i2iii−i−i000000000000000000000003−3−i3i30000000000000000
χ6644-4-4-2-2-4422-2-2221-1-11−4i4i22-2-22i2i−2i−2i000023−232i3−2i31-12i−2i−i−iii00000000000000000000000−33−i3i30000000000000000
χ6744-4-4-2-2-4422-2-2221-1-11−4i4i22-2-22i2i−2i−2i0000−2323−2i32i31-12i−2i−i−iii000000000000000000000003−3i3−i30000000000000000
χ684-44-444004-4-4-44-444-4-400000000004-4000000000000000000000004-400000000000000000000000000000000
χ694-44-444004-4-4-44-444-4-40000000000-4400000000000000000000000-4400000000000000000000000000000000
χ704-44-4-2400-2-42-442-2-222000000i6−i6i6−i64-40000000000i6−i6i6−i6000000000-22000000i6−i6i6−i60000000000000000000000
χ714-44-4-2400-2-42-442-2-222000000i6−i6i6−i6-440000000000i6−i6i6−i60000000002-2000000−i6i6−i6i60000000000000000000000
χ724-44-4-2400-2-42-442-2-222000000−i6i6−i6i64-40000000000−i6i6−i6i6000000000-22000000−i6i6−i6i60000000000000000000000
χ734-44-4-2400-2-42-442-2-222000000−i6i6−i6i6-440000000000−i6i6−i6i60000000002-2000000i6−i6i6−i60000000000000000000000
χ744-4-444400-44-4-4-444-44-4000000000000000000000000000000000−2i22i200000000−2i22i22i2−2i20000000000000000000000
χ754-4-444400-44-4-4-444-44-40000000000000000000000000000000002i2−2i2000000002i2−2i2−2i22i20000000000000000000000
χ764-4-44-2400242-4-4-2-22-220000006−6−660000000000006−6−660000000−2i22i2000000−2i32i3i2−i2−i2i20000000000000000000000
χ774-4-44-2400242-4-4-2-22-220000006−6−660000000000006−6−6600000002i2−2i20000002i3−2i3−i2i2i2−i20000000000000000000000
χ784-4-44-2400242-4-4-2-22-22000000−666−6000000000000−666−60000000−2i22i20000002i3−2i3i2−i2−i2i20000000000000000000000
χ794-4-44-2400242-4-4-2-22-22000000−666−6000000000000−666−600000002i2−2i2000000−2i32i3−i2i2i2−i20000000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-42222004444000000000000-2-20000000000000000000000000000000000000000000000000
χ8188-8-8-4-48-844-4-4442-2-2200-4-444000000000000-220000000000000000000000000000000000000000000000000
χ828-88-88-40084-84-4-8-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4-400-4444-4422-2-20000002i6−2i62i6−2i6000000000000−i6i6−i6i60000000000000000000000000000000000000000000
χ848-88-8-4-400-4444-4422-2-2000000−2i62i6−2i62i6000000000000i6−i6i6−i60000000000000000000000000000000000000000000
χ858-8-888-400-8-4-8448-44-44000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-4444-42-22-200000026−26−2626000000000000−666−60000000000000000000000000000000000000000000
χ878-8-88-4-4004-4444-42-22-2000000−262626−260000000000006−6−660000000000000000000000000000000000000000000

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