Finite Group Databasebeta

← Group #11889157

Character table — Group #11889157

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order122233446666663666881212121244121212121212242424242424242422244444121212121212121212122224666881212122424242448861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-111-1-1-1-1-111111111-1-1-1111-1-111-1-1-1-111-1-1-1-11-1-1
χ31111111111111111111111111111111111111111-1-11-1-111111-1-1111111-1-11-1-1-111-1-11111-1-1-1-1-11-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ5111111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1111
χ6111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-1111-1-111111-1-1-1-1-1-111-1-1-1-11111-1-11111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111-1-1-11-111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111-1-111111-1-11-111-1-1-1-1-1-1111-11-111-1-111-111-1-11-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-1-1111-111-111-1-1-111111-1-11-1-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-111111111111-111-1-111-11-1-11-1-1111-1-1-1-11-1-1-11-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-111-1-1-1-111-1-1-11-11-1-111-1-1-111111-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111111-1-111111-11-1-111111-1111-1-11-1-1-1-1-1-11-1-11-11-1
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-11111-1-1-111-11-1-111-1-1-1-111-11-111111-1-1-111-1-1-11
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-11-1-111-1-111-1-11-11-1-1-1-1-111-11111-11
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-11-1-1-111-11111111-1-1-111-1
χ17222222-2-2222222222200-2-2-2-2000000-2-2000000000022-200-2-2-2-2-2000000-2-2000020020000002000000
χ18222222-2-2222222222200-2-2-2-2000000-2-200000000002-2200-2-2-222000000220000200-2000000-2000000
χ19222222-2-2222222222200-2-2-2-2000000-2-20000000000-22-200222-2-2000000220000-2002000000-2000000
χ20222222-2-2222222222200-2-2-2-2000000-2-20000000000-2-220022222000000-2-20000-200-20000002000000
χ2122222-1222-1-12-12-1-1-1-1222-1-1222-1-122-1-1-1-122-1-1-1-100200222-1-1002-1-1-1-1-1002000-1200-1-1-1-100000-1000
χ2222222-1222-1-12-12-1-1-1-1222-1-1222-1-122-1-1-1-122-1-1-1-100-200-2-2-211002-1-1-1-1-100-20001-2001111000001000
χ2322222-1222-1-12-12-1-1-1-1222-1-12-2-211-2-2-1-1-1-122-1-1-1-100200-2-22-1-100-21111100-2000-120011-1-1000001000
χ2422222-1222-1-12-12-1-1-1-1222-1-12-2-211-2-2-1-1-1-122-1-1-1-100-20022-21100-2111110020001-200-1-11100000-1000
χ2522222-1222-1-12-12-1-1-1-1-2-22-1-122-2-1-1-2-2-1-111-2-2111100200222-1-10021-1-11100-2000-1-200-1-111000001000
χ2622222-1222-1-12-12-1-1-1-1-2-22-1-122-2-1-1-2-2-1-111-2-2111100-200-2-2-2110021-1-111002000120011-1-100000-1000
χ2722222-1222-1-12-12-1-1-1-1-2-22-1-12-221122-1-111-2-2111100200-2-22-1-100-2-111-1-1002000-1-200111100000-1000
χ2822222-1222-1-12-12-1-1-1-1-2-22-1-12-221122-1-111-2-2111100-20022-21100-2-111-1-100-20001200-1-1-1-1000001000
χ292222-1222-122-12-1-1-1-1-122-122-12222-1-1-1-122-1-1-1-1-1-12202200000-1-1-12-1-1-1-10002-1-1002-10000-1-10000-100
χ302222-1222-122-12-1-1-1-1-122-122-12222-1-1-1-122-1-1-1-1-1-1-2-20-2-20000011-12-1-1-1-1000-21100-210000110000100
χ312222-1222-122-12-1-1-1-1-122-122-1-2-2-2-211-1-122-1-1-1-1-1-1220-2-200000111-211110002-1-100-210000110000-100
χ322222-1222-122-12-1-1-1-1-122-122-1-2-2-2-211-1-122-1-1-1-1-1-1-2-202200000-1-11-21111000-211002-10000-1-10000100
χ332222-1222-122-12-1-1-1-1-1-2-2-122-12-22211-1-1-2-2111111220-2-20000011-1-2-1-111000-2-1-100210000-1-10000100
χ342222-1222-122-12-1-1-1-1-1-2-2-122-12-22211-1-1-2-2111111-2-202200000-1-1-1-2-1-11100021100-2-10000110000-100
χ352222-1222-122-12-1-1-1-1-1-2-2-122-1-22-2-2-1-1-1-1-2-21111112202200000-1-11211-1-1000-2-1-100-2-10000110000100
χ362222-1222-122-12-1-1-1-1-1-2-2-122-1-22-2-2-1-1-1-1-2-2111111-2-20-2-200000111211-1-100021100210000-1-10000-100
χ372-2-22222-22-22-2-2-222-2-2002-22-20000002-2000000002-20002i−2i0000000000000002-200002i−2i000002i−2i0000
χ382-2-22222-22-22-2-2-222-2-2002-22-20000002-2000000002-2000−2i2i0000000000000002-20000−2i2i00000−2i2i0000
χ392-2-22222-22-22-2-2-222-2-2002-22-20000002-200000000-220002i−2i000000000000000-2200002i−2i00000−2i2i0000
χ402-2-22222-22-22-2-2-222-2-2002-22-20000002-200000000-22000−2i2i000000000000000-220000−2i2i000002i−2i0000
χ4144444-2-4-44-2-24-24-2-2-2-200-422-400000022000000000040000-42200000000000000-20000000000000000
χ4244444-2-4-44-2-24-24-2-2-2-200-422-4000000220000000000-400004-2-20000000000000020000000000000000
χ434444-24-4-4-244-24-2-2-2-2-2002-4-4200000022000000000004-40000022000000000000000-20000000000000
χ444444-24-4-4-244-24-2-2-2-2-2002-4-420000002200000000000-4400000-2-200000000000000020000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-2-2111100000000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-2111100000000000022-1-1-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-1000000000000-2211-1-100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-10000000000002-2-1-11100000000000000000000000
χ4944-4-44400-44-44-4-44-44-4−2i22i2000000000000−2i22i2−2i22i2−2i2−2i22i22i200000000000000000000000000000000000000000
χ5044-4-44400-44-44-4-44-44-42i2−2i20000000000002i2−2i22i2−2i22i22i2−2i2−2i200000000000000000000000000000000000000000
χ5144-4-44-200-4-2242-4-22-22−2i22i2000000000000i2−i2−2i22i2i2i2−i2−i20000000023−2300000000000000000000i6−i6000000000
χ5244-4-44-200-4-2242-4-22-22−2i22i2000000000000i2−i2−2i22i2i2i2−i2−i200000000−232300000000000000000000−i6i6000000000
χ5344-4-44-200-4-2242-4-22-222i2−2i2000000000000−i2i22i2−2i2−i2−i2i2i20000000023−2300000000000000000000−i6i6000000000
χ5444-4-44-200-4-2242-4-22-222i2−2i2000000000000−i2i22i2−2i2−i2−i2i2i200000000−232300000000000000000000i6−i6000000000
χ5544-4-4-240024-4-2-42-22-22−2i22i2000000000000−2i22i2i2−i2i2i2−i2−i2000000000023−2300000000000000000000i6−i60000000
χ5644-4-4-240024-4-2-42-22-22−2i22i2000000000000−2i22i2i2−i2i2i2−i2−i20000000000−232300000000000000000000−i6i60000000
χ5744-4-4-240024-4-2-42-22-222i2−2i20000000000002i2−2i2−i2i2−i2−i2i2i2000000000023−2300000000000000000000−i6i60000000
χ5844-4-4-240024-4-2-42-22-222i2−2i20000000000002i2−2i2−i2i2−i2−i2i2i20000000000−232300000000000000000000i6−i60000000
χ594-44-44400-4-4-4-4444-4-4400000000000000000000000000000000000000004-4000000000000000000000
χ604-44-44400-4-4-4-4444-4-440000000000000000000000000000000000000000-44000000000000000000000
χ614-4-4444-444-44-4-4-444-4-400-44-44000000-440000000000000000000000000000000000000000000000000
χ624-4-444-24-442-2-42-4-2-2220042-2-4000000-2200000000000004i−4i000000000000000000000−2i2i00000000000
χ634-4-444-24-442-2-42-4-2-2220042-2-4000000-220000000000000−4i4i0000000000000000000002i−2i00000000000
χ644-4-444-2-4442-2-42-4-2-22200-4-2240023−23002-2000000000000000000000023−230000000000000000000000000
χ654-4-444-2-4442-2-42-4-2-22200-4-22400−2323002-20000000000000000000000−23230000000000000000000000000
χ664-4-44-244-4-2-442-42-2-22200-2-442000000-22000000004-400000000000000000000-2200000000000000000
χ674-4-44-244-4-2-442-42-2-22200-2-442000000-2200000000-44000000000000000000002-200000000000000000
χ684-4-44-24-44-2-442-42-2-2220024-4-2000023−232-200000000000000000000000023−2300000000000000000000000
χ694-4-44-24-44-2-442-42-2-2220024-4-20000−23232-2000000000000000000000000−232300000000000000000000000
χ704-4-44-2-2-44-22-222211-1-1002-22-20023−2323−23-1100003-33-300000000000000−33−3300000000000000000000000
χ714-4-44-2-2-44-22-222211-1-1002-22-20023−23−2323-110000-33-3300000000000000−333−300000000000000000000000
χ724-4-44-2-2-44-22-222211-1-1002-22-200−232323−23-110000-33-33000000000000003−3−3300000000000000000000000
χ734-4-44-2-2-44-22-222211-1-1002-22-200−2323−2323-1100003-33-3000000000000003−33−300000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7588-8-8-4-4004-44-4442-22-2−4i24i20000000000002i2−2i22i2−2i2−i2−i2i2i200000000000000000000000000000000000000000
χ7688-8-8-4-4004-44-4442-22-24i2−4i2000000000000−2i22i2−2i22i2i2i2−i2−i200000000000000000000000000000000000000000
χ778-88-88-400-844-8-48-444-4000000000000000000000000000000000000000000000000000000000000000
χ788-88-8-48004-8-848-4-444-4000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004444-4-42-2-22000000000000000000−3i23i23i2−3i200000000000000000000000000000000000000000
χ808-88-8-4-4004444-4-42-2-220000000000000000003i2−3i2−3i23i200000000000000000000000000000000000000000
χ818-8-88-4-48-8-44-444422-2-200-44-440000002-20000000000000000000000000000000000000000000000000

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