Finite Group Databasebeta

← Group #11889117

Character table — Group #11889117

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order122233446666663446661212121222281212121212122424242424242424444668812126666121224448121212121212242424242224886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-111-1-1-1-1111111-111-111-1-1-11111-1-1-1-1-1-1-1-1-11-1
χ311111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-111-11-11-1111111-1-1-1-11-1-11-1-1-1-11
χ411111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11111-1-1-11-1-1-111-1-111-111-1111-1-1
χ5111111111111111111111111-1-111111111111111111-11-1-111111111111-1-11-1-1111-1-1-1-111-1-1-1-1-1-11-1-1
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
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-111-1-1111-1111-1-111-1-1-111-111-11-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11-11-1-1-1-1-1-111111-1-11-1-1111
χ9111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111111-1-11-11-1-111-1-1-1-1-1-1-1-11111-1-111-1
χ10111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-11111-1-11111-1-1-1-111-11-111-1-1-1-111-1-1-1-111-111
χ11111111111111111-1-1111111111-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-11111111111-11-111-1-1-1-1-1-1-1-1-1-11-1-1111-111-1-111-1-1-111-1-1-11-11
χ13111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-111-1-11-11-1-11111-1-1-1-1-1-1111-11
χ14111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11-111-1-1111111111111-1-1-1-1-1
χ15111111111111111-1-11111111-1-1-11-1-1-1-111111111111-11-1-11111-1-1-1-1-1-1-111-1-1-11-1-111-1-111-111-1-1-1-111
χ16111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11-1-111111-1
χ17222222-2-2222222200222-2-2-2-222000000-2-2000000002-2-22200-2-200000000000-2200000000200-200000
χ18222222-2-2222222200222-2-2-2-222000000-2-200000000-2-2222002200000000000-2-200000000-200200000
χ19222222-2-2222222200222-2-2-2-2-2-2000000-2-20000000022-2-2-200-2-2000000000002200000000-200200000
χ20222222-2-2222222200222-2-2-2-2-2-2000000-2-200000000-222-2-20022000000000002-200000000200-200000
χ2122222-1222-12-1-12-122-1-1-1-122-10022-1-122-1-122-1-1-1-1-1-12020022-1-12-1-1-1-1-1200200-1-1-10000-1-1000000-100
χ2222222-1222-12-1-12-122-1-1-1-122-10022-1-122-1-122-1-1-1-1-1-1-20-200-2-2112-1-1-1-1-1-200-200111000011000000100
χ2322222-1222-12-1-12-122-1-1-1-122-100-2-2-1-122-1-1-2-211111120200-2-2-1-1-2111-1-1-200200-1-1-1000011000000100
χ2422222-1222-12-1-12-122-1-1-1-122-100-2-2-1-122-1-1-2-2111111-20-2002211-2111-1-1200-2001110000-1-1000000-100
χ2522222-1222-12-1-12-1-2-2-1-1-1-122-1002-211-2-2-1-1-2-211111120200-2-2-1-12-1-1-111200-200-111000011000000-100
χ2622222-1222-12-1-12-1-2-2-1-1-1-122-1002-211-2-2-1-1-2-2111111-20-20022112-1-1-111-2002001-1-10000-1-1000000100
χ2722222-1222-12-1-12-1-2-2-1-1-1-122-100-2211-2-2-1-122-1-1-1-1-1-12020022-1-1-211111-200-200-1110000-1-1000000100
χ2822222-1222-12-1-12-1-2-2-1-1-1-122-100-2211-2-2-1-122-1-1-1-1-1-1-20-200-2-211-2111112002001-1-1000011000000-100
χ292222-1222-12-122-1-122-1-1-12-1-12222222-1-1-1-1-1-122-1-1-1-1020-1-10000-12-1-1-1-102202-1000-1-1-1-1000000000-10
χ302222-1222-12-122-1-122-1-1-12-1-1222-2-222-1-1-1-111-2-21111020-1-100001-211-1-102-20-2-1000-1-11100000000010
χ312222-1222-12-122-1-122-1-1-12-1-12-2-22222-1-1-1-1-1-122-1-1-1-10-20110000-12-1-1-1-10-2-20-21000111100000000010
χ322222-1222-12-122-1-122-1-1-12-1-12-2-2-2-222-1-1-1-111-2-211110-201100001-211-1-10-2202100011-1-1000000000-10
χ332222-1222-12-122-1-1-2-2-1-1-12-1-12222-2-2-211-1-111-2-21111020-1-10000-12-1-1110-220-2-10001111000000000-10
χ342222-1222-12-122-1-1-2-2-1-1-12-1-1222-22-2-211-1-1-1-122-1-1-1-1020-1-100001-211110-2-202-100011-1-100000000010
χ352222-1222-12-122-1-1-2-2-1-1-12-1-12-2-22-2-2-211-1-111-2-211110-20110000-12-1-11102-2021000-1-1-1-100000000010
χ362222-1222-12-122-1-1-2-2-1-1-12-1-12-2-2-22-2-211-1-1-1-122-1-1-1-10-201100001-211110220-21000-1-111000000000-10
χ372-22-2222-2-2-22-22-222i−2i-22-22-22-200002i−2i2i−2i2-20000000000000000000002i−2i00000000000000002-202i−2i000
χ382-22-2222-2-2-22-22-222i−2i-22-22-22-200002i−2i2i−2i2-20000000000000000000002i−2i0000000000000000-220−2i2i000
χ392-22-2222-2-2-22-22-22−2i2i-22-22-22-20000−2i2i−2i2i2-2000000000000000000000−2i2i00000000000000002-20−2i2i000
χ402-22-2222-2-2-22-22-22−2i2i-22-22-22-20000−2i2i−2i2i2-2000000000000000000000−2i2i0000000000000000-2202i−2i000
χ4144444-2-4-44-24-2-24-200-2-2-22-4-4200000000220000000040-4000022000000000000-200000000000000000
χ4244444-2-4-44-24-2-24-200-2-2-22-4-42000000002200000000-4040000-2-2000000000000200000000000000000
χ434444-24-4-4-24-244-2-200-2-2-2-422-44400000022000000000-40-2-20000000000000002000000000000000000
χ444444-24-4-4-24-244-2-200-2-2-2-422-4-4-4000000220000000004022000000000000000-2000000000000000000
χ454444-2-244-2-2-2-2-2-2144111-2-2-2-20044-2-2-2-211-2-2-2-21111000000000-2-21111000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-2-2-2-200-4-4-2-2-2-2112222-1-1-1-100000000022-1-111000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-42222112222-1-1-1-1000000000-2-211-1-1000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-44222211-2-2-2-2111100000000022-1-1-1-1000000000000000000000000
χ4944-4-44400-4-4-44-44400-4-4400004-400000000000000000004-40000000000000000000000000000000000
χ5044-4-44400-4-4-44-44400-4-440000-440000000000000000000-440000000000000000000000000000000000
χ5144-4-4-24002-424-4-2-20022-200004-400000000i6−i600i6i6−i6−i6000-22000000000000000000000i6−i600000000000
χ5244-4-4-24002-424-4-2-20022-200004-400000000−i6i600−i6−i6i6i6000-22000000000000000000000−i6i600000000000
χ5344-4-4-24002-424-4-2-20022-20000-4400000000i6−i600i6i6−i6−i60002-2000000000000000000000−i6i600000000000
χ5444-4-4-24002-424-4-2-20022-20000-4400000000−i6i600−i6−i6i6i60002-2000000000000000000000i6−i600000000000
χ554-44-444-44-4-44-44-4400-44-4-44-4400000000-4400000000000000000000000000000000000000000000000
χ564-44-44-24-4-4242-2-4-24i−4i2-22-2-4420000−2i2i4i−4i-22000000000000000000000−2i2i000000000000000000000000
χ574-44-44-24-4-4242-2-4-2−4i4i2-22-2-44200002i−2i−4i4i-220000000000000000000002i−2i000000000000000000000000
χ584-44-44-2-44-4242-2-4-2002-2224-4-2000000002-2000000000000000000000000000000−2i32i3000000000000000
χ594-44-44-2-44-4242-2-4-2002-2224-4-2000000002-20000000000000000000000000000002i3−2i3000000000000000
χ604-44-4-244-42-4-2-442-24i−4i2-2242-2-400004i−4i−2i2i-22000000000000000000000−2i2i000000000000000000000000
χ614-44-4-244-42-4-2-442-2−4i4i2-2242-2-40000−4i4i2i−2i-220000000000000000000002i−2i000000000000000000000000
χ624-44-4-24-442-4-2-442-2002-22-4-224000000002-20000000000000000000000000000000023−230000000000000
χ634-44-4-24-442-4-2-442-2002-22-4-224000000002-200000000000000000000000000000000−23230000000000000
χ644-44-4-2-24-422-22-2214i−4i-11-1-22-220000−2i2i−2i2i1-100003i−3i3i−3i000000000003-3i−i000000000000000000000000
χ654-44-4-2-24-422-22-2214i−4i-11-1-22-220000−2i2i−2i2i1-10000−3i3i−3i3i00000000000-33i−i000000000000000000000000
χ664-44-4-2-24-422-22-221−4i4i-11-1-22-2200002i−2i2i−2i1-100003i−3i3i−3i00000000000-33−ii000000000000000000000000
χ674-44-4-2-24-422-22-221−4i4i-11-1-22-2200002i−2i2i−2i1-10000−3i3i−3i3i000000000003-3−ii000000000000000000000000
χ684-4-44440044-4-4-4-44004-4-4000000000000000000000000000−2i22i2000000000000000000000−2i22i2000000000
χ694-4-44440044-4-4-4-44004-4-40000000000000000000000000002i2−2i20000000000000000000002i2−2i2000000000
χ704-4-444-2004-2-422-4-200-22200000000000000006−66−6−6600000−2i22i2−2i32i30000000000000000000i2−i2000000000
χ714-4-444-2004-2-422-4-200-22200000000000000006−66−6−66000002i2−2i22i3−2i30000000000000000000−i2i2000000000
χ724-4-444-2004-2-422-4-200-2220000000000000000−66−666−600000−2i22i22i3−2i30000000000000000000i2−i2000000000
χ734-4-444-2004-2-422-4-200-2220000000000000000−66−666−6000002i2−2i2−2i32i30000000000000000000−i2i2000000000
χ748888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-88-400-84-8-448-40044-40000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400444-44-4200-2-22000000000000002i6−2i600−i6−i6i6i6000000000000000000000000000000000000000
χ7788-8-8-4-400444-44-4200-2-2200000000000000−2i62i600i6i6−i6−i6000000000000000000000000000000000000000
χ788-88-8-4-4-8844-44-44200-22-24-44-400000000-2200000000000000000000000000000000000000000000000
χ798-8-88-4800-484-8-84-400-4440000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-400-4-444442002-2-2000000000000000026−26−666−6000000000000000000000000000000000000000
χ818-8-88-4-400-4-444442002-2-20000000000000000−26266−6−66000000000000000000000000000000000000000

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