Finite Group Databasebeta

← Group #11878584

Character table — Group #11878584

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444448888888888881212121212121212121212121212121216161616161616242424242424242424243636484848727272
order1222334466666636668812121212242424242466121224242424242422446688121212122424242466612121212244468121224242461212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-11-1111111-1-111111111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1
χ31111111111111111111111111111111111111111-11-11-1-1-1-1-1-111-1-1-1-111111111-1-11111111-1-11-1-1-1-1-1
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
χ61111111111111111111111111111-1-1-1-1111111111-11-1111111-1-11111-1-1-1-1-1-1-11-1-11-1-111-1-1-1-11-1-111-1
χ71111111111111111111111111111-1-1-1-111111111-11-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-11111-1
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
χ9111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-1-1-11-111-111-1-111-11-1-11-1
χ10111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1111-1-1-1-111-1-1-11-1-111-1-111-11-11
χ11111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-1-11-11-1-111-1-1111111111-1-1-1-1-1-1111-111-1-1-1-1-1-111-11
χ12111111111111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-11-11-1-11-1-111111-11-11-1
χ13111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-111111-11-11-1-1-1-1-1111-111-1-1
χ14111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1-11111-1-111-111111-1-1-1-11-111
χ15111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1-11-11-1-111-1-1111111-1-1-1111111-1-11-1-1-1-1-1-1-111-1-111
χ16111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11111-11-11-11111111-11-11-1-1
χ17222222-2-2222222222200-2-2-2-200000000-2-200000022-2-22200-2-2-2-2000000000000000200000-22000000
χ18222222-2-2222222222200-2-2-2-200000000-2-20000002-2-222200-2-222000000000000000-2000002-2000000
χ19222222-2-2222222222200-2-2-2-200000000-2-2000000-222-2-2-20022-2-20000000000000002000002-2000000
χ20222222-2-2222222222200-2-2-2-200000000-2-2000000-2-222-2-2002222000000000000000-200000-22000000
χ2122222-122-12-122-1-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-10202000000-1-100002-1-12-1-1-12002-12-1-1-1-100-100000
χ2222222-122-12-122-1-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-10-20-20000001100002-1-12-1-1-1-200-21-2111100100000
χ2322222-122-12-122-1-1-1-1-1222-1-122222-2-211-1-1-1-1-1-1-1-10202000000-1-10000-211-2111-200-2-1211-1-100100000
χ2422222-122-12-122-1-1-1-1-1222-1-122222-2-211-1-1-1-1-1-1-1-10-20-2000000110000-211-211120021-2-1-11100-100000
χ2522222-122-12-122-1-1-1-1-1-2-22-1-12-2-2-2-22-2-1-1-1-11111110202000000-1-100002-1-1-2111-2002-1-2-1-11100100000
χ2622222-122-12-122-1-1-1-1-1-2-22-1-12-2-2-2-22-2-1-1-1-11111110-20-20000001100002-1-1-2111200-21211-1-100-100000
χ2722222-122-12-122-1-1-1-1-1-2-22-1-12-2-2-2-2-2211-1-11111110202000000-1-10000-2112-1-1-1200-2-1-2111100-100000
χ2822222-122-12-122-1-1-1-1-1-2-22-1-12-2-2-2-2-2211-1-11111110-20-2000000110000-2112-1-1-1-200212-1-1-1-100100000
χ292222-12222-12-1-12-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-12020-1-122-1-100-1-1-1-1-1-1-1-12-1-10220000000000-1-1000
χ302222-12222-12-1-12-1-1-1-122-122-1-1-1-1-12222-1-122-1-1-1-1-20-2011-2-211001111-1-1-1-12-1-10-2-2000000000011000
χ312222-12222-12-1-12-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-12020-1-122-1-100-1-1-1-11111-2110-2-2000000000011000
χ322222-12222-12-1-12-1-1-1-122-122-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-20-2011-2-2110011111111-2110220000000000-1-1000
χ332222-12222-12-1-12-1-1-1-1-2-2-122-111112-222-1-1-2-211112020-1-1-2-2-1-1001111-1-1-11-21102-20000000000-11000
χ342222-12222-12-1-12-1-1-1-1-2-2-122-111112-222-1-1-2-21111-20-2011221100-1-1-1-1-1-1-11-2110-2200000000001-1000
χ352222-12222-12-1-12-1-1-1-1-2-2-122-11111-22-2-2-1-1-2-211112020-1-1-2-2-1-1001111111-12-1-10-2200000000001-1000
χ362222-12222-12-1-12-1-1-1-1-2-2-122-11111-22-2-2-1-1-2-21111-20-2011221100-1-1-1-1111-12-1-102-20000000000-11000
χ3744444-2-4-4-24-244-2-2-2-2-200-422-40000000022000000040-400000022000000000000000-20000000000000
χ3844444-2-4-4-24-244-2-2-2-2-200-422-400000000220000000-404000000-2-200000000000000020000000000000
χ394444-24-4-44-24-2-24-2-2-2-2002-4-42000000002200000040-40-2-200220000000000000000000000000000000
χ404444-24-4-44-24-2-24-2-2-2-2002-4-420000000022000000-40402200-2-20000000000000000000000000000000
χ414444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-244-2-211-2-211110000000000000000-211-2-211000000000000000000
χ424444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2-4-42211-2-2111100000000000000002-1-122-1-1000000000000000000
χ434444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222224-4-2-21122-1-1-1-10000000000000000-21122-1-1000000000000000000
χ444444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222-44221122-1-1-1-100000000000000002-1-1-2-211000000000000000000
χ4544-4-44400-444-4-4-44-4-440000000000000000000000000000−2i22i20000−2i2−2i22i22i20000000000000000000000000
χ4644-4-44400-444-4-4-44-4-4400000000000000000000000000002i2−2i200002i22i2−2i2−2i20000000000000000000000000
χ4744-4-4-2400-4-2422-4-222-2000000i6i6−i6−i600000000i6i6−i6−i6000000−2i22i223−2300i2i2−i2−i20000000000000000000000000
χ4844-4-4-2400-4-2422-4-222-2000000i6i6−i6−i600000000i6i6−i6−i60000002i2−2i2−232300−i2−i2i2i20000000000000000000000000
χ4944-4-4-2400-4-2422-4-222-2000000−i6−i6i6i600000000−i6−i6i6i6000000−2i22i2−232300i2i2−i2−i20000000000000000000000000
χ5044-4-4-2400-4-2422-4-222-2000000−i6−i6i6i600000000−i6−i6i6i60000002i2−2i223−2300−i2−i2i2i20000000000000000000000000
χ514-44-444004-4-44-4-444-4-4−2i22i20000−2i22i2−2i22i2000000−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000000
χ524-44-444004-4-44-4-444-4-42i2−2i200002i2−2i22i2−2i20000002i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000000
χ534-44-44-200-2-424-42-2-222−2i22i20000−2i22i2−2i22i2000000i2−i2i2−i2i2−i2000000000023−230000000000000000000i6−i600000000
χ544-44-44-200-2-424-42-2-222−2i22i20000−2i22i2−2i22i2000000i2−i2i2−i2i2−i20000000000−23230000000000000000000−i6i600000000
χ554-44-44-200-2-424-42-2-2222i2−2i200002i2−2i22i2−2i2000000−i2i2−i2i2−i2i2000000000023−230000000000000000000−i6i600000000
χ564-44-44-200-2-424-42-2-2222i2−2i200002i2−2i22i2−2i2000000−i2i2−i2i2−i2i20000000000−23230000000000000000000i6−i600000000
χ574-44-4-240042-4-22-4-2-222−2i22i20000i2−i2i2−i2000000−2i22i2i2−i2i2−i20000−2i32i30000006−66−60000000000000000000000000
χ584-44-4-240042-4-22-4-2-222−2i22i20000i2−i2i2−i2000000−2i22i2i2−i2i2−i200002i3−2i3000000−66−660000000000000000000000000
χ594-44-4-240042-4-22-4-2-2222i2−2i20000−i2i2−i2i20000002i2−2i2−i2i2−i2i20000−2i32i3000000−66−660000000000000000000000000
χ604-44-4-240042-4-22-4-2-2222i2−2i20000−i2i2−i2i20000002i2−2i2−i2i2−i2i200002i3−2i30000006−66−60000000000000000000000000
χ614-4-44444-4-4-4-4-4444-44-400-44-4400000000-4400000000000000000000000000000000000000000000000
χ624-4-4444-44-4-4-4-4444-44-4004-44-4000000004-400000000000000000000000000000000000000000000000
χ634-4-444-24-42-42-44-2-22-2200-4-224000000002-200000000000000000000000000000000000−2i32i30000000000
χ644-4-444-24-42-42-44-2-22-2200-4-224000000002-2000000000000000000000000000000000002i3−2i30000000000
χ654-4-444-2-442-42-44-2-22-220042-2-4000000−2i32i3-2200000000000000000000000−2i32i30000000000000000000000
χ664-4-444-2-442-42-44-2-22-220042-2-40000002i3−2i3-22000000000000000000000002i3−2i30000000000000000000000
χ674-4-44-244-4-42-42-24-22-220024-4-2000000002-2000000000000000000−2i32i32i3−2i30000000000000000000000000
χ684-4-44-244-4-42-42-24-22-220024-4-2000000002-20000000000000000002i3−2i3−2i32i30000000000000000000000000
χ694-4-44-24-44-42-42-24-22-2200-2-44223−23−23230000-220023−23−232300000000000000000000000000000000000000000
χ704-4-44-24-44-42-42-24-22-2200-2-442−232323−230000-2200−232323−2300000000000000000000000000000000000000000
χ714-4-44-2-2-442222-2-21-11-100-22-2223−23−232300−2i32i31-100−333−300000000000000000i3−i3003i−3i000000000000000000
χ724-4-44-2-2-442222-2-21-11-100-22-2223−23−2323002i3−2i31-100−333−300000000000000000−i3i300−3i3i000000000000000000
χ734-4-44-2-2-442222-2-21-11-100-22-22−232323−2300−2i32i31-1003−3−3300000000000000000i3−i300−3i3i000000000000000000
χ744-4-44-2-2-442222-2-21-11-100-22-22−232323−23002i3−2i31-1003−3−3300000000000000000−i3i3003i−3i000000000000000000
χ758888-4-4-8-8-4-4-4-4-4-4222200444400000000-2-200000000000000000000000000000000000000000000000
χ7688-8-88-40048-4-8-84-444-4000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-4004-4-44442-2-220000002i62i6−2i6−2i600000000−i6−i6i6i600000000000000000000000000000000000000000
χ7888-8-8-4-4004-4-44442-2-22000000−2i6−2i62i62i600000000i6i6−i6−i600000000000000000000000000000000000000000
χ798-88-8-4-400-444-44422-2-2−4i24i200002i2−2i22i2−2i20000002i2−2i2−i2i2−i2i200000000000000000000000000000000000000000
χ808-88-8-4-400-444-44422-2-24i2−4i20000−2i22i2−2i22i2000000−2i22i2i2−i2i2−i200000000000000000000000000000000000000000
χ818-8-88-4-48-84444-4-42-22-2004-44-400000000-2200000000000000000000000000000000000000000000000

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