Finite Group Databasebeta

← Group #11889159

Character table — Group #11889159

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order12223344666666344666121212122248121212121212242424242424242424466881212121212121212224468121212121224242424224488664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-111-1-1-1-11111111-1-11-111-1-11111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-1111-111111-1-1-1-1-1-111-1-1-1-11
χ411111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-11-11-1-11-1-111-1-11111-1-111-11-1
χ5111111111111111111111111-1-111111111111111111-11-1-11111111111-111-11-1-111-1-1-1-111-1-1-1-1-1-1-11-1
χ6111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-11-11-111-111-1-111-1-111-1-1111-1-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-11-1-1-1-1-11111-1-111-1-1111
χ9111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11111-1-11111-1-11-11-1-1-1-1-1-1-1-11111-1-111-1
χ10111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11111-1-111-1-1111-11-1-1-1111-1-1-1-111-1-1-1-1111-11
χ11111111111111111-1-1111111111-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-11111111111-11-111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-111
χ13111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-11-1111-1-1-11111-1-1-1-1-1-111-111
χ14111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-11-1111111111111-1-1-1-1-1
χ15111111111111111-1-11111111-1-1-11-1-1-1-111111111111-11-1-11111-1-1-1-1-1-11-1-111-1-1-1-111-1-11111-1-1-1-11-11
χ16111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1111111-1
χ17222222-2-2222222200222-2-2-2-222000000-2-2000000002-2-22200-2-2000000000020-20000000000-2200000
χ18222222-2-2222222200222-2-2-2-222000000-2-200000000-2-222200220000000000-20-200000000002-200000
χ19222222-2-2222222200222-2-2-2-2-2-2000000-2-20000000022-2-2-200-2-2000000000020200000000002-200000
χ20222222-2-2222222200222-2-2-2-2-2-2000000-2-200000000-222-2-200220000000000-2020000000000-2200000
χ2122222-12222-1-1-12-122-1-1-12-12-10022-1-122-1-122-1-1-1-1-1-12020022-1-1-12-1-1-1-10220-100-1-10000-1-10000000-10
χ2222222-12222-1-1-12-122-1-1-12-12-10022-1-122-1-122-1-1-1-1-1-1-20-200-2-211-12-1-1-1-10-2-2010011000011000000010
χ2322222-12222-1-1-12-122-1-1-12-12-100-2-2-1-122-1-1-2-211111120200-2-2-1-11-2-1-1110-220-100-1-1000011000000010
χ2422222-12222-1-1-12-122-1-1-12-12-100-2-2-1-122-1-1-2-2111111-20-20022111-2-1-11102-20100110000-1-10000000-10
χ2522222-12222-1-1-12-1-2-2-1-1-12-12-1002-211-2-2-1-1-2-211111120200-2-2-1-1-1211-1-102-20-100110000110000000-10
χ2622222-12222-1-1-12-1-2-2-1-1-12-12-1002-211-2-2-1-1-2-2111111-20-2002211-1211-1-10-220100-1-10000-1-1000000010
χ2722222-12222-1-1-12-1-2-2-1-1-12-12-100-2211-2-2-1-122-1-1-1-1-1-12020022-1-11-211110-2-20-100110000-1-1000000010
χ2822222-12222-1-1-12-1-2-2-1-1-12-12-100-2211-2-2-1-122-1-1-1-1-1-1-20-200-2-2111-211110220100-1-10000110000000-10
χ292222-1222-1-1222-1-122-1-1-1-12-12222222-1-1-1-1-1-122-1-1-1-1020-1-100002-1-1-1-1-1200202-100-1-1-1-100000000-100
χ302222-1222-1-1222-1-122-1-1-1-12-1222-2-222-1-1-1-111-2-21111020-1-10000-21-1-111-20020-2-100-1-11100000000100
χ312222-1222-1-1222-1-122-1-1-1-12-12-2-22222-1-1-1-1-1-122-1-1-1-10-201100002-1-1-1-1-1-200-20-2100111100000000100
χ322222-1222-1-1222-1-122-1-1-1-12-12-2-2-2-222-1-1-1-111-2-211110-20110000-21-1-111200-20210011-1-100000000-100
χ332222-1222-1-1222-1-1-2-2-1-1-1-12-12222-2-2-211-1-111-2-21111020-1-100002-111-1-1200-20-2-100111100000000-100
χ342222-1222-1-1222-1-1-2-2-1-1-1-12-1222-22-2-211-1-1-1-122-1-1-1-1020-1-10000-211111-200-202-10011-1-100000000100
χ352222-1222-1-1222-1-1-2-2-1-1-1-12-12-2-22-2-2-211-1-111-2-211110-201100002-111-1-1-200202100-1-1-1-100000000100
χ362222-1222-1-1222-1-1-2-2-1-1-1-12-12-2-2-22-2-211-1-1-1-122-1-1-1-10-20110000-21111120020-2100-1-11100000000-100
χ372-2-22222-2-222-2-2-222i−2i-22-222-2-200002i−2i2i−2i-2200000000000000000002i−2i000000000000000002-2002i−2i000
χ382-2-22222-2-222-2-2-222i−2i-22-222-2-200002i−2i2i−2i-2200000000000000000002i−2i00000000000000000-2200−2i2i000
χ392-2-22222-2-222-2-2-22−2i2i-22-222-2-20000−2i2i−2i2i-220000000000000000000−2i2i000000000000000002-200−2i2i000
χ402-2-22222-2-222-2-2-22−2i2i-22-222-2-20000−2i2i−2i2i-220000000000000000000−2i2i00000000000000000-22002i−2i000
χ4144444-2-4-444-2-2-24-200-2-2-2-42-4200000000220000000040-40000220000000000-20000000000000000000
χ4244444-2-4-444-2-2-24-200-2-2-2-42-42000000002200000000-4040000-2-2000000000020000000000000000000
χ434444-24-4-4-2-2444-2-200-2-2-22-42-44400000022000000000-40-2-20000000000000000200000000000000000
χ444444-24-4-4-2-2444-2-200-2-2-22-42-4-4-40000002200000000040220000000000000000-200000000000000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-211-2-2-2-21111000000000-2-21111000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-2-2-2112222-1-1-1-10000000002211-1-1000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-42222112222-1-1-1-1000000000-2-2-1-111000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-44222211-2-2-2-2111100000000022-1-1-1-1000000000000000000000000
χ4944-4-444004-4-4-44-44004-4-4000000000000000000000000000−2i22i2000000000000000000000−2i22i2000000000
χ5044-4-444004-4-4-44-44004-4-40000000000000000000000000002i2−2i20000000000000000000002i2−2i2000000000
χ5144-4-44-2004-422-2-4-200-2220000000000000000i6−i6i6i6−i6−i600000−2i22i223−230000000000000000000i2−i2000000000
χ5244-4-44-2004-422-2-4-200-2220000000000000000i6−i6i6i6−i6−i6000002i2−2i2−23230000000000000000000−i2i2000000000
χ5344-4-44-2004-422-2-4-200-2220000000000000000−i6i6−i6−i6i6i600000−2i22i2−23230000000000000000000i2−i2000000000
χ5444-4-44-2004-422-2-4-200-2220000000000000000−i6i6−i6−i6i6i6000002i2−2i223−230000000000000000000−i2i2000000000
χ554-44-44400-4-4-44-44400-4-4400004-400000000000000000004-40000000000000000000000000000000000
χ564-44-44400-4-4-44-44400-4-440000-440000000000000000000-440000000000000000000000000000000000
χ574-44-4-240022-44-4-2-20022-200004-400000000i6−i600i6−i6i6−i6000-22000000000000000000000i6−i600000000000
χ584-44-4-240022-44-4-2-20022-200004-400000000−i6i600−i6i6−i6i6000-22000000000000000000000−i6i600000000000
χ594-44-4-240022-44-4-2-20022-20000-4400000000i6−i600i6−i6i6−i60002-2000000000000000000000−i6i600000000000
χ604-44-4-240022-44-4-2-20022-20000-4400000000−i6i600−i6i6−i6i60002-2000000000000000000000i6−i600000000000
χ614-4-4444-44-444-4-4-4400-44-4-4-444000000004-400000000000000000000000000000000000000000000000
χ624-4-444-24-4-44-222-4-24i−4i2-224-2-420000−2i2i4i−4i2-20000000000000000000−2i2i00000000000000000000000000
χ634-4-444-24-4-44-222-4-2−4i4i2-224-2-4200002i−2i−4i4i2-200000000000000000002i−2i00000000000000000000000000
χ644-4-444-2-44-44-222-4-2002-22-424-200000000-2200000000000000000000000000000023−23000000000000000
χ654-4-444-2-44-44-222-4-2002-22-424-200000000-22000000000000000000000000000000−2323000000000000000
χ664-4-44-244-42-24-4-42-24i−4i2-22-242-400004i−4i−2i2i2-20000000000000000000−2i2i00000000000000000000000000
χ674-4-44-244-42-24-4-42-2−4i4i2-22-242-40000−4i4i2i−2i2-200000000000000000002i−2i00000000000000000000000000
χ684-4-44-24-442-24-4-42-2002-222-4-2400000000-220000000000000000000000000000000023−230000000000000
χ694-4-44-24-442-24-4-42-2002-222-4-2400000000-2200000000000000000000000000000000−23230000000000000
χ704-4-44-2-24-42-2-222214i−4i-11-1-2-2220000−2i2i−2i2i-1100003-3-3300000000000i−i3i−3i000000000000000000000000
χ714-4-44-2-24-42-2-222214i−4i-11-1-2-2220000−2i2i−2i2i-110000-333-300000000000i−i−3i3i000000000000000000000000
χ724-4-44-2-24-42-2-22221−4i4i-11-1-2-22200002i−2i2i−2i-1100003-3-3300000000000−ii−3i3i000000000000000000000000
χ734-4-44-2-24-42-2-22221−4i4i-11-1-2-22200002i−2i2i−2i-110000-333-300000000000−ii3i−3i000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-4800-44-8-884-400-4440000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-4444-442002-2-200000000000000002i6−2i6−i6−i6i6i6000000000000000000000000000000000000000
χ7788-8-8-4-400-4444-442002-2-20000000000000000−2i62i6i6i6−i6−i6000000000000000000000000000000000000000
χ788-88-88-400-8-84-448-40044-40000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400444-44-4200-2-22000000000000002i6−2i600−i6i6−i6i6000000000000000000000000000000000000000
χ808-88-8-4-400444-44-4200-2-2200000000000000−2i62i600i6−i6i6−i6000000000000000000000000000000000000000
χ818-8-88-4-4-884-4-4444200-22-244-4-4000000002-200000000000000000000000000000000000000000000000

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