Finite Group Databasebeta

← Group #11878583

Character table — Group #11878583

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444448888888888881212121212121212121212121212121216161616161616242424242424242424243636484848727272
order12223344666666366688121212122424242424121212122424242424242244666688121224242424666612121244448121212242424121212248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-111-1-1111111111111111-11-11-1-1-1-1-1-1-1-11-11-1-1-1
χ31111111111111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-111111111-11-1111111-1-1-11-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ51111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11
χ61111111111111111111111111111-1-1-1-1111111111-11-111-1-111111111-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1-11-111-1
χ71111111111111111111111111111-1-1-1-111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-11-1111-1
χ81111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111-1-11
χ9111111111111111111-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111-1-11-1-1-1-11111-1-11-1
χ10111111111111111111-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-11111-1-1-111-1-11-11111-1-11-1-11-11
χ11111111111111111111-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-1-11-11-1-11111-1-111111111-1-1-1-1-111-11-1-1-1-1-1-1-1111-11
χ12111111111111111111-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-11-1-111-1111111-1-11-11-1
χ13111111111111111111-1-11111-1-1-1-1-111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11-1111-1-111-1-111-1-1
χ14111111111111111111-1-11111-1-1-1-1-111111-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111-1-1-111-1-1-111-111
χ15111111111111111111-1-11111-1-1-1-1-111111-1-1-1-1-1-1-11-11-1-11111-1-11111-1-1-1-111111-1-1-1111-1-1-1-11-1-1-111
χ16111111111111111111-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-111-11-1-1-1111111-11-1-1
χ17222222-2-2222222222200-2-2-2-200000000-2-200000022-2-2222200-2-20000000000000000-20000-22000000
χ18222222-2-2222222222200-2-2-2-200000000-2-20000002-2-2222-2-200-2-20000000000000000200002-2000000
χ19222222-2-2222222222200-2-2-2-200000000-2-2000000-222-2-2-22200220000000000000000-200002-2000000
χ20222222-2-2222222222200-2-2-2-200000000-2-2000000-2-222-2-2-2-20022000000000000000020000-22000000
χ2122222-1222-12-1-12-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-1020200-1-1000000002-1-1-12-1-120202-1-1-1-1-1000-10000
χ2222222-1222-12-1-12-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-10-20-20011000000002-1-1-12-1-1-20-20-21111100010000
χ2322222-1222-12-1-12-1-1-1-1222-1-122222-2-211-1-1-1-1-1-1-1-1020200-1-100000000-2111-211-20-202-111-1-100010000
χ2422222-1222-12-1-12-1-1-1-1222-1-122222-2-211-1-1-1-1-1-1-1-10-20-2001100000000-2111-2112020-21-1-111000-10000
χ2522222-1222-12-1-12-1-1-1-1-2-22-1-12-2-2-2-22-211-1-1111111020200-1-1000000002-1-1-1-211-2020-2-11111000-10000
χ2622222-1222-12-1-12-1-1-1-1-2-22-1-12-2-2-2-22-211-1-11111110-20-20011000000002-1-1-1-21120-2021-1-1-1-100010000
χ2722222-1222-12-1-12-1-1-1-1-2-22-1-12-2-2-2-2-22-1-1-1-1111111020200-1-100000000-21112-1-120-20-2-1-1-11100010000
χ2822222-1222-12-1-12-1-1-1-1-2-22-1-12-2-2-2-2-22-1-1-1-11111110-20-2001100000000-21112-1-1-20202111-1-1000-10000
χ292222-1222-12-122-1-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-12020-1-10022-1-1-1-1-1-1-12-1-1-1-1-1020200000000-10-1000
χ302222-1222-12-122-1-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-1-20-201100-2-2111111-12-1-1-1-1-10-20-200000000101000
χ312222-1222-12-122-1-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-12020-1-10022-1-1-1-1-1-11-2111110-20-200000000101000
χ322222-1222-12-122-1-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-20-201100-2-21111111-211111020200000000-10-1000
χ332222-1222-12-122-1-1-1-1-1-2-2-122-111112-2-2-2-1-1-2-211112020-1-100-2-2-1-11111-12-1-1111020-200000000-101000
χ342222-1222-12-122-1-1-1-1-1-2-2-122-111112-2-2-2-1-1-2-21111-20-2011002211-1-1-1-1-12-1-11110-2020000000010-1000
χ352222-1222-12-122-1-1-1-1-1-2-2-122-11111-2222-1-1-2-211112020-1-100-2-2-1-111111-211-1-1-10-2020000000010-1000
χ362222-1222-12-122-1-1-1-1-1-2-2-122-11111-2222-1-1-2-21111-20-2011002211-1-1-1-11-211-1-1-1020-200000000-101000
χ3744444-2-4-44-24-2-24-2-2-2-200-422-40000000022000000040-400-2-2000000000000000000002000000000000
χ3844444-2-4-44-24-2-24-2-2-2-200-422-400000000220000000-404002200000000000000000000-2000000000000
χ394444-24-4-4-24-244-2-2-2-2-2002-4-42000000002200000040-40-2-200002200000000000000000000000000000
χ404444-24-4-4-24-244-2-2-2-2-2002-4-420000000022000000-4040220000-2-200000000000000000000000000000
χ414444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-244-2-211-2-211110000000000000000-2-211-211000000000000000000
χ424444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2-4-42211-2-21111000000000000000022-1-12-1-1000000000000000000
χ434444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222224-4221122-1-1-1-10000000000000000-2-2112-1-1000000000000000000
χ444444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222-44-2-21122-1-1-1-1000000000000000022-1-1-211000000000000000000
χ4544-4-444004-4-4-44-44-4-44000000000000000000000000000000−2i22i200−2i2−2i22i22i20000000000000000000000000
χ4644-4-444004-4-4-44-44-4-440000000000000000000000000000002i2−2i2002i22i2−2i2−2i20000000000000000000000000
χ4744-4-4-2400-2-42-442-222-2000000i6i6−i6−i600000000i6i6−i6−i600000000−2i22i223−23i2i2−i2−i20000000000000000000000000
χ4844-4-4-2400-2-42-442-222-2000000i6i6−i6−i600000000i6i6−i6−i6000000002i2−2i2−2323−i2−i2i2i20000000000000000000000000
χ4944-4-4-2400-2-42-442-222-2000000−i6−i6i6i600000000−i6−i6i6i600000000−2i22i2−2323i2i2−i2−i20000000000000000000000000
χ5044-4-4-2400-2-42-442-222-2000000−i6−i6i6i600000000−i6−i6i6i6000000002i2−2i223−23−i2−i2i2i20000000000000000000000000
χ514-44-44400-4-444-4-444-4-4−2i22i20000−2i22i2−2i22i2000000−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000000
χ524-44-44400-4-444-4-444-4-42i2−2i200002i2−2i22i2−2i20000002i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000000
χ534-44-44-200-424-22-4-2-222−2i22i20000−2i22i2−2i22i2000000i2−i2i2−i2i2−i2000000−2i32i3000000000000000000000006−600000000
χ544-44-44-200-424-22-4-2-222−2i22i20000−2i22i2−2i22i2000000i2−i2i2−i2i2−i20000002i3−2i300000000000000000000000−6600000000
χ554-44-44-200-424-22-4-2-2222i2−2i200002i2−2i22i2−2i2000000−i2i2−i2i2−i2i2000000−2i32i300000000000000000000000−6600000000
χ564-44-44-200-424-22-4-2-2222i2−2i200002i2−2i22i2−2i2000000−i2i2−i2i2−i2i20000002i3−2i3000000000000000000000006−600000000
χ574-44-4-24002-4-24-42-2-222−2i22i20000i2−i2i2−i2000000−2i22i2i2−i2i2−i20000−2i32i30000006−66−60000000000000000000000000
χ584-44-4-24002-4-24-42-2-222−2i22i20000i2−i2i2−i2000000−2i22i2i2−i2i2−i200002i3−2i3000000−66−660000000000000000000000000
χ594-44-4-24002-4-24-42-2-2222i2−2i20000−i2i2−i2i20000002i2−2i2−i2i2−i2i20000−2i32i3000000−66−660000000000000000000000000
χ604-44-4-24002-4-24-42-2-2222i2−2i20000−i2i2−i2i20000002i2−2i2−i2i2−i2i200002i3−2i30000006−66−60000000000000000000000000
χ614-4-44444-4-44-4-4-444-44-400-44-4400000000-4400000000000000000000000000000000000000000000000
χ624-4-4444-44-44-4-4-444-44-4004-44-4000000004-400000000000000000000000000000000000000000000000
χ634-4-444-24-4-4-2-4224-22-2200-4-224000000002-20000000000000000000000000000000000023−230000000000
χ644-4-444-24-4-4-2-4224-22-2200-4-224000000002-200000000000000000000000000000000000−23230000000000
χ654-4-444-2-44-4-2-4224-22-220042-2-400000023−23-2200000000000000000000000000023−23000000000000000000
χ664-4-444-2-44-4-2-4224-22-220042-2-4000000−2323-22000000000000000000000000000−2323000000000000000000
χ674-4-44-244-4242-4-4-2-22-220024-4-2000000002-2000000000000000000−2i32i32i3−2i30000000000000000000000000
χ684-4-44-244-4242-4-4-2-22-220024-4-2000000002-20000000000000000002i3−2i3−2i32i30000000000000000000000000
χ694-4-44-24-44242-4-4-2-22-2200-2-44223−23−23230000-220023−23−232300000000000000000000000000000000000000000
χ704-4-44-24-44242-4-4-2-22-2200-2-442−232323−230000-2200−232323−2300000000000000000000000000000000000000000
χ714-4-44-2-2-442-2222-21-11-100-22-2223−23−23230023−231-100−333−30000000000000000003-30−33000000000000000000
χ724-4-44-2-2-442-2222-21-11-100-22-2223−23−232300−23231-100−333−3000000000000000000-3303−3000000000000000000
χ734-4-44-2-2-442-2222-21-11-100-22-22−232323−230023−231-1003−3−33000000000000000000-330−33000000000000000000
χ744-4-44-2-2-442-2222-21-11-100-22-22−232323−2300−23231-1003−3−330000000000000000003-303−3000000000000000000
χ758888-4-4-8-8-4-4-4-4-4-4222200444400000000-2-200000000000000000000000000000000000000000000000
χ7688-8-88-40084-84-4-8-444-4000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-400-4444-442-2-220000002i62i6−2i6−2i600000000−i6−i6i6i600000000000000000000000000000000000000000
χ7888-8-8-4-400-4444-442-2-22000000−2i6−2i62i62i600000000i6i6−i6−i600000000000000000000000000000000000000000
χ798-88-8-4-40044-4-44422-2-2−4i24i200002i2−2i22i2−2i20000002i2−2i2−i2i2−i2i200000000000000000000000000000000000000000
χ808-88-8-4-40044-4-44422-2-24i2−4i20000−2i22i2−2i22i2000000−2i22i2i2−i2i2−i200000000000000000000000000000000000000000
χ818-8-88-4-48-84-4444-42-22-2004-44-400000000-2200000000000000000000000000000000000000000000000

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