Finite Group Databasebeta

← Group #11889425

Character table — Group #11889425

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size111122222222224444444444668888888888888888121212121212121212161616161616242424242424242424242424242424363636363636484872
order12223344666666344666121212122248121212121212242424242424242444466881212121212121212444481212121212122424242424448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1111-1-1-1-111111111-1-11-1111-1-111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-11-11-1-1111111-1-1-1-111-1-1-1-1-1-11
χ411111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-11-1-11-1-1111-1-1-1-111-1-11111-11-1
χ5111111111111111111111111-1-1111111111111111111-1-1-11111111111-1-111-11-1-1-111-1-111-1-1-1-1-1-1-11-1
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
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1-111-111-1-1-11111-1-1-1-111111-1-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-111-1-1-1-1-1-1111111-1-1-1-1111
χ9111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-11111-1-111-11-11-111-1-1-1-1-1-1-1-11111-1-111-1
χ10111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-111-1-1-11-1-111-1-111-1-1-1-1111-11
χ11111111111111111-1-1111111111-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-1-1
χ12111111111111111-1-1111111111-11-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-11111-1-1-1-111-1-1-111
χ13111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1111-1-1111-111-1-111-1-1-1-1-1-111-111
χ14111111111111111-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-11-11-1-1111111111111-1-1-1-1-1
χ15111111111111111-1-11111111-1-1-11-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-111-1-1-11-111-1-1-1-111-1-111-1-11-11
χ16111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-111-1-11111-1
χ17222222-2-2222222200222-2-2-2-222000000-2-2000000002-2-22200-2-2000000000002-2000000002-20000000
χ18222222-2-2222222200222-2-2-2-222000000-2-200000000-22-222002200000000000-2-200000000-220000000
χ19222222-2-2222222200222-2-2-2-2-2-2000000-2-2000000002-22-2-200-2-2000000000002200000000-220000000
χ20222222-2-2222222200222-2-2-2-2-2-2000000-2-200000000-222-2-2002200000000000-22000000002-20000000
χ2122222-12222-1-1-12-122-1-1-12-1-12222222-1-1-1-1-1-122-1-1-1-1002-1-10000-12-1-1-1-1220020-1-1-100-1-100000000-100
χ2222222-12222-1-1-12-122-1-1-12-1-1222-2-222-1-1-1-111-2-21111002-1-100001-2-1-1112-200-20-1-1-1001100000000100
χ2322222-12222-1-1-12-122-1-1-12-1-12-2-22222-1-1-1-1-1-122-1-1-1-100-2110000-12-1-1-1-1-2-200-20111001100000000100
χ2422222-12222-1-1-12-122-1-1-12-1-12-2-2-2-222-1-1-1-111-2-2111100-21100001-2-1-111-22002011100-1-100000000-100
χ2522222-12222-1-1-12-1-2-2-1-1-12-1-12222-2-2-211-1-111-2-21111002-1-10000-1211-1-1-2200-20-111001100000000-100
χ2622222-12222-1-1-12-1-2-2-1-1-12-1-1222-22-2-211-1-1-1-122-1-1-1-1002-1-100001-21111-2-20020-11100-1-100000000100
χ2722222-12222-1-1-12-1-2-2-1-1-12-1-12-2-22-2-2-211-1-111-2-2111100-2110000-1211-1-12-200201-1-100-1-100000000100
χ2822222-12222-1-1-12-1-2-2-1-1-12-1-12-2-2-22-2-211-1-1-1-122-1-1-1-100-21100001-211112200-201-1-1001100000000-100
χ292222-1222-1-1222-1-122-1-1-1-122-10022-1-122-1-122-1-1-1-1-1-12200022-1-12-1-1-1-1-100220-1000-1-100-1-10000000-10
χ302222-1222-1-1222-1-122-1-1-1-122-10022-1-122-1-122-1-1-1-1-1-1-2-2000-2-2112-1-1-1-1-100-2-201000110011000000010
χ312222-1222-1-1222-1-122-1-1-1-122-100-2-2-1-122-1-1-2-211111122000-2-2-1-1-21-1-111002-20-1000-1-10011000000010
χ322222-1222-1-1222-1-122-1-1-1-122-100-2-2-1-122-1-1-2-2111111-2-20002211-21-1-11100-22010001100-1-10000000-10
χ332222-1222-1-1222-1-1-2-2-1-1-1-122-1002-211-2-2-1-1-2-211111122000-2-2-1-12-111-1-100-220-10001100110000000-10
χ342222-1222-1-1222-1-1-2-2-1-1-1-122-1002-211-2-2-1-1-2-2111111-2-200022112-111-1-1002-201000-1-100-1-1000000010
χ352222-1222-1-1222-1-1-2-2-1-1-1-122-100-2211-2-2-1-122-1-1-1-1-1-12200022-1-1-21111100-2-20-10001100-1-1000000010
χ362222-1222-1-1222-1-1-2-2-1-1-1-122-100-2211-2-2-1-122-1-1-1-1-1-1-2-2000-2-211-211111002201000-1-100110000000-10
χ372-2-22222-2-2-22-2-2222i−2i-2-222-22-200002i−2i2i−2i2-200000000000000000002i−2i00000000000000000002-22i−2i000
χ382-2-22222-2-2-22-2-2222i−2i-2-222-22-200002i−2i2i−2i2-200000000000000000002i−2i0000000000000000000-22−2i2i000
χ392-2-22222-2-2-22-2-222−2i2i-2-222-22-20000−2i2i−2i2i2-20000000000000000000−2i2i00000000000000000002-2−2i2i000
χ402-2-22222-2-2-22-2-222−2i2i-2-222-22-20000−2i2i−2i2i2-20000000000000000000−2i2i0000000000000000000-222i−2i000
χ4144444-2-4-444-2-2-24-200-2-2-2-422-444000000220000000000-4-2-20000000000000000200000000000000000
χ4244444-2-4-444-2-2-24-200-2-2-2-422-4-4-40000002200000000004220000000000000000-200000000000000000
χ434444-24-4-4-2-2444-2-200-2-2-22-4-420000000022000000004-4000002200000000000-2000000000000000000
χ444444-24-4-4-2-2444-2-200-2-2-22-4-42000000002200000000-4400000-2-2000000000002000000000000000000
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
χ4944-4-44400-44-4-44-4400-44-400004-400000000000000000004-40000000000000000000000000000000000
χ5044-4-44400-44-4-44-4400-44-40000-440000000000000000000-440000000000000000000000000000000000
χ5144-4-44-200-4422-2-4-2002-2200004-4000000006−60066−6−6000-220000000000000000000006−600000000000
χ5244-4-44-200-4422-2-4-2002-2200004-400000000−6600−6−666000-22000000000000000000000−6600000000000
χ5344-4-44-200-4422-2-4-2002-220000-44000000006−60066−6−60002-2000000000000000000000−6600000000000
χ5444-4-44-200-4422-2-4-2002-220000-4400000000−6600−6−6660002-20000000000000000000006−600000000000
χ554-44-444004-4-44-4-44004-4-400000000000000000000000000022−2200000000000000000000022−22000000000
χ564-44-444004-4-44-4-44004-4-4000000000000000000000000000−2222000000000000000000000−2222000000000
χ574-44-4-2400-22-44-42-200-2220000000000000000i6−i6i6−i6i6−i60000022−22−2i32i30000000000000000000−22000000000
χ584-44-4-2400-22-44-42-200-2220000000000000000i6−i6i6−i6i6−i600000−22222i3−2i300000000000000000002−2000000000
χ594-44-4-2400-22-44-42-200-2220000000000000000−i6i6−i6i6−i6i60000022−222i3−2i30000000000000000000−22000000000
χ604-44-4-2400-22-44-42-200-2220000000000000000−i6i6−i6i6−i6i600000−2222−2i32i300000000000000000002−2000000000
χ614-4-4444-44-4-44-4-44400-4-44-44-4400000000-4400000000000000000000000000000000000000000000000
χ624-4-444-24-4-4-4-2224-24i−4i22-242-2-400004i−4i−2i2i-220000000000000000000−2i2i00000000000000000000000000
χ634-4-444-24-4-4-4-2224-2−4i4i22-242-2-40000−4i4i2i−2i-2200000000000000000002i−2i00000000000000000000000000
χ644-4-444-2-44-4-4-2224-20022-2-4-224000000002-200000000000000000000000000000023−23000000000000000
χ654-4-444-2-44-4-4-2224-20022-2-4-224000000002-2000000000000000000000000000000−2323000000000000000
χ664-4-44-244-4224-4-4-2-24i−4i22-2-2-4420000−2i2i4i−4i-220000000000000000000−2i2i00000000000000000000000000
χ674-4-44-244-4224-4-4-2-2−4i4i22-2-2-44200002i−2i−4i4i-2200000000000000000002i−2i00000000000000000000000000
χ684-4-44-24-44224-4-4-2-20022-224-4-2000000002-200000000000000000000000000000000−2i32i30000000000000
χ694-4-44-24-44224-4-4-2-20022-224-4-2000000002-2000000000000000000000000000000002i3−2i30000000000000
χ704-4-44-2-24-422-222-214i−4i-1-11-22-220000−2i2i−2i2i1-100003i−3i−3i3i00000000000i−i3-3000000000000000000000000
χ714-4-44-2-24-422-222-214i−4i-1-11-22-220000−2i2i−2i2i1-10000−3i3i3i−3i00000000000i−i-33000000000000000000000000
χ724-4-44-2-24-422-222-21−4i4i-1-11-22-2200002i−2i2i−2i1-100003i−3i−3i3i00000000000−ii-33000000000000000000000000
χ734-4-44-2-24-422-222-21−4i4i-1-11-22-2200002i−2i2i−2i1-10000−3i3i3i−3i00000000000−ii3-3000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000
χ7588-8-8-48004-4-8-884-4004-440000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-4004-444-44200-22-20000000000000026−2600−6−666000000000000000000000000000000000000000
χ7788-8-8-4-4004-444-44200-22-200000000000000−26260066−6−6000000000000000000000000000000000000000
χ788-88-88-4008-84-44-8-400-4440000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400-444-4442002-2-200000000000000002i6−2i6−i6i6−i6i6000000000000000000000000000000000000000
χ808-88-8-4-400-444-4442002-2-20000000000000000−2i62i6i6−i6i6−i6000000000000000000000000000000000000000
χ818-8-88-4-4-8844-444-4200-2-224-44-400000000-2200000000000000000000000000000000000000000000000

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