Finite Group Databasebeta

← Group #11889381

Character table — Group #11889381

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444444488888888888888812121212121212121616161616161818242424242424242424242424242424243636363636484872
order12223344666666344666881212121241212121212122424242424242424244466121212121212121222444488121212121212242424244448812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1111-1-1111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-11-1
χ311111111111111111111111111111111111111111-111-1-1-111111111-1-111-1-1-11111-1-1-1-1-111-1-1-1-1-11-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1-1-1111111-1-1-1-1-1-11-1-1-1-11
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-111-1-1-111-1-11-1-1-1111-1-11111-1111-1-1
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-11-1-111-1111-1-1-111-1-111-111-11-1
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-1-1-1-1-11111-1-11-1-1111
χ9111111111111111-1-1111111111-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1111-1-11-1-11111-1-1111-1-1-1
χ10111111111111111-1-1111111111-1-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-111-1-11-1-1111-1-111-1-111-1-1-11-11
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1-11111-1-1-1-111
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-1-1-1-1-1-111111-1
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-11-11-1-11-1-11-1-1-1-1-1-1111-1-111-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-11-1-11-11-1111-1-1-1-111-1-1-111-111
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-111-11-11-1-1-11111-1-1-1-1-1111-11
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11-111-111-1111111111-1-1-1-1-1
χ17222222-2-222222220022200-2-2-2-200000-2-20000000022-2-222-2-2000000-2-2000000200-200000000200000
χ18222222-2-222222220022200-2-2-2-200000-2-2000000002-22-2222200000022000000-200-200000000-200000
χ19222222-2-222222220022200-2-2-2-200000-2-200000000-22-22-2-2-2-200000022000000200200000000-200000
χ20222222-2-222222220022200-2-2-2-200000-2-200000000-2-222-2-222000000-2-2000000-200200000000200000
χ2122222-122-1-1222-1-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-12002-1-100-12-1-1-1-100002220000-1-1-1-1-100000000-10
χ2222222-122-1-1222-1-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-200-21100-12-1-1-1-10000-2-2-20000111110000000010
χ2322222-122-1-1222-1-122-1-1-1-2-22-1-12-222-1-1-1-111-2-211112002-1-1001-211-1-100002-2-20000-1-1-1110000000010
χ2422222-122-1-1222-1-122-1-1-1-2-22-1-12-222-1-1-1-111-2-21111-200-211001-211-1-10000-2220000111-1-100000000-10
χ2522222-122-1-1222-1-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-12002-1-1001-211110000-2-220000-111-1-10000000010
χ2622222-122-1-1222-1-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1-200-211001-21111000022-200001-1-11100000000-10
χ2722222-122-1-1222-1-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-211112002-1-100-12-1-1110000-22-20000-1111100000000-10
χ2822222-122-1-1222-1-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-21111-200-21100-12-1-11100002-2200001-1-1-1-10000000010
χ292222-122222-1-1-12-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-1022000-1-12-1-1-1-1-100220002-1-1-100000-1-100000-100
χ302222-122222-1-1-12-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10-2-2000112-1-1-1-1-100-2-2000-2111000001100000100
χ312222-122222-1-1-12-122-1-1-1-2-2-122-1-2-1-122-1-1-2-2111111022000-1-1-2111-1-1002-2000-2-1-1-1000001100000100
χ322222-122222-1-1-12-122-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110-2-200011-2111-1-100-22000211100000-1-100000-100
χ332222-122222-1-1-12-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-1022000-1-1-21111100-2-20002-11100000-1-100000100
χ342222-122222-1-1-12-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-10-2-200011-2111110022000-21-1-1000001100000-100
χ352222-122222-1-1-12-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-2111111022000-1-12-1-1-11100-22000-2-111000001100000-100
χ362222-122222-1-1-12-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-21111110-2-2000112-1-1-111002-200021-1-100000-1-100000100
χ372-2-22222-2-2-22-2-2222-2-2-22002-22-202-22-22-2000000000000000000002-20000000000000000002i−2i02i−2i000
χ382-2-22222-2-2-22-2-2222-2-2-22002-22-202-22-22-2000000000000000000002-2000000000000000000−2i2i0−2i2i000
χ392-2-22222-2-2-22-2-222-22-2-22002-22-20-22-222-200000000000000000000-220000000000000000002i−2i0−2i2i000
χ402-2-22222-2-2-22-2-222-22-2-22002-22-20-22-222-200000000000000000000-22000000000000000000−2i2i02i−2i000
χ4144444-2-4-4-2-2444-2-200-2-2-200-422-4000002200000000400-4-2-20000000000000000000200000000000000
χ4244444-2-4-4-2-2444-2-200-2-2-200-422-4000002200000000-4004220000000000000000000-200000000000000
χ434444-24-4-444-2-2-24-200-2-2-2002-4-4200000220000000004-40002200000000000000-200000000000000000
χ444444-24-4-444-2-2-24-200-2-2-2002-4-420000022000000000-44000-2-200000000000000200000000000000000
χ454444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-2111100000000-2-2111100000000000000000000000000
χ464444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000022-1-11100000000000000000000000000
χ474444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-211110000000022-1-1-1-100000000000000000000000000
χ484444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-100000000-2-211-1-100000000000000000000000000
χ4944-4-444004-4-4-44-44004-4-422−220000000000022−2222−222222−22−220000000000000000000000000000000000000000
χ5044-4-444004-4-4-44-44004-4-4−222200000000000−2222−2222−22−2222220000000000000000000000000000000000000000
χ5144-4-44-200-22-4-442-200-22222−2200000000000−2222−22−2−2220000−2i32i30000000000000000000000i6−i60000000000
χ5244-4-44-200-22-4-442-200-22222−2200000000000−2222−22−2−22200002i3−2i30000000000000000000000−i6i60000000000
χ5344-4-44-200-22-4-442-200-222−2222000000000002−2−222222−2−20000−2i32i30000000000000000000000−i6i60000000000
χ5444-4-44-200-22-4-442-200-222−2222000000000002−2−222222−2−200002i3−2i30000000000000000000000i6−i60000000000
χ5544-4-4-24004-422-2-4-200-22222−220000000000022−22−22−2−22200000023−2300000000000000000000006−600000000
χ5644-4-4-24004-422-2-4-200-22222−220000000000022−22−22−2−222000000−23230000000000000000000000−6600000000
χ5744-4-4-24004-422-2-4-200-222−222200000000000−22222−222−2−200000023−230000000000000000000000−6600000000
χ5844-4-4-24004-422-2-4-200-222−222200000000000−22222−222−2−2000000−232300000000000000000000006−600000000
χ594-44-44400-44-44-4-4400-44-4000000000000000000000000000000000004-4000000000000000000000000
χ604-44-44400-44-44-4-4400-44-400000000000000000000000000000000000-44000000000000000000000000
χ614-4-4444-44-4-44-4-44400-4-4400-44-4400000-44000000000000000000000000000000000000000000000000
χ624-4-444-24-4224-4-4-2-24-422-20042-2-404-4-22-2200000000000000000000-2200000000000000000000000000
χ634-4-444-24-4224-4-4-2-2-4422-20042-2-40-442-2-22000000000000000000002-200000000000000000000000000
χ644-4-444-2-44224-4-4-2-20022-200-4-224000002-20000000000000000000000000000000000−2i32i3000000000000
χ654-4-444-2-44224-4-4-2-20022-200-4-224000002-200000000000000000000000000000000002i3−2i3000000000000
χ664-4-44-244-4-4-4-2224-24-422-200-2-4420-224-4-2200000000000000000000-2200000000000000000000000000
χ674-4-44-244-4-4-4-2224-2-4422-200-2-44202-2-44-22000000000000000000002-200000000000000000000000000
χ684-4-44-24-44-4-4-2224-20022-20024-4-2000002-2000000000000000000000000000000023−23000000000000000
χ694-4-44-24-44-4-4-2224-20022-20024-4-2000002-20000000000000000000000000000000−2323000000000000000
χ704-4-44-2-24-422-222-214-4-1-1100-22-220-22-221-100003i−3i3i−3i00000000003i−3i1-100000000000000000000000000
χ714-4-44-2-24-422-222-214-4-1-1100-22-220-22-221-10000−3i3i−3i3i0000000000−3i3i1-100000000000000000000000000
χ724-4-44-2-24-422-222-21-44-1-1100-22-2202-22-21-100003i−3i3i−3i0000000000−3i3i-1100000000000000000000000000
χ734-4-44-2-24-422-222-21-44-1-1100-22-2202-22-21-10000−3i3i−3i3i00000000003i−3i-1100000000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4-400-4444-442002-2-242−4200000000000−2222−222222−2−20000000000000000000000000000000000000000
χ7688-8-8-4-400-4444-442002-2-2−42420000000000022−2222−22−2−2220000000000000000000000000000000000000000
χ778-88-88-4004-4-88-84-4004-440000000000000000000000000000000000000000000000000000000000000
χ788-88-8-4800-884-44-8-4004-440000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-44-444200-22-200000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ808-88-8-4-4004-44-444200-22-2000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ818-8-88-4-4-8844-444-4200-2-22004-44-400000-22000000000000000000000000000000000000000000000000

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