Finite Group Databasebeta

← Group #11889215

Character table — Group #11889215

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222444444444444888888888881212121212121616161616161616181824242424242424242424242424242424243636363636484872
order1222334466666623466666121212124466612121212121222888812121212121212124424466668824242424242424242444412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111111111-1-11-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-11111111111-1-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-1-111-1
χ41111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ511111111111111111111111111-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-11111-11-1-1-1-11111-1-111-1-1-11
χ611111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1
χ711111111111111111111111111-1-1111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111111-1-11-1-1-1
χ811111111111111111111111111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-111-1111
χ911111111111111-11-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1111-1-11-111-1-111-1-1-111111-1-1
χ1011111111111111-11-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-11-111-1-11111-1-1-1-1111-1-1-1-1-111
χ1111111111111111-11-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111111-11-1-111-1-1-1-11111-1-11-1-1-1-11-11
χ1211111111111111-11-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-111-11-1-111-1-111-11111-11-1
χ1311111111111111-11-1-1-11111111-11-1-1-1-1-111-1-111111111-1-111-1-111-11-111-1-1-1-1-1-11111-1-11-111-1-11-1
χ1411111111111111-11-1-1-11111111-11-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-1111-1-1-11-1-111-1-111-11-1-111-11
χ1511111111111111-11-1-1-11111111-11-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1111-111-1-111-1-1-11-1-11-111
χ1611111111111111-11-1-1-11111111-11-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111-11-1-1111111-1-1-1-1111-111-11-1-1
χ17222222-2-222222222-222222-2-2-2-200222-2-2-2-2-2-2000000000000002200000000000000000-2-2002000
χ18222222-2-222222222-222222-2-2-2-200222-2-2-2-2-2-200000000000000-2-2000000000000000002200-2000
χ19222222-2-2222222-222-2-2222-2-2-2-200-2-2-222-2-222000000000000002200000000000000000-2200-2000
χ20222222-2-2222222-222-2-2222-2-2-2-200-2-2-222-2-22200000000000000-2-2000000000000000002-2002000
χ2122222-122-12-1-1222-12-1-1-1-1-12-1-12222-1-1-12-1-1-1-12222002-1-12-1-1-1-100200-1-1-1-120-1-1-1-1000000000000
χ2222222-122-12-1-1222-12-1-1-1-1-12-1-12222-1-1-12-1-1-1-1-2-2-2-2002-1-12-1-1-1-100-2001111-201111000000000000
χ2322222-122-12-1-1222-12-1-1-1-1-12-1-12-2-22-1-1-12-1-1-1-122-2-200-211-2111100200-1-1-1-1-201111000000000000
χ2422222-122-12-1-1222-12-1-1-1-1-12-1-12-2-22-1-1-12-1-1-1-1-2-22200-211-2111100-200111120-1-1-1-1000000000000
χ2522222-122-12-1-122-2-1-211-1-1-12-1-122-2-2111-2-1-11122-2-200-21-1211-1-100-200-1-11120-1-111000000000000
χ2622222-122-12-1-122-2-1-211-1-1-12-1-122-2-2111-2-1-111-2-22200-21-1211-1-10020011-1-1-2011-1-1000000000000
χ2722222-122-12-1-122-2-1-211-1-1-12-1-12-22-2111-2-1-1112222002-11-2-1-11100-200-1-111-2011-1-1000000000000
χ2822222-122-12-1-122-2-1-211-1-1-12-1-12-22-2111-2-1-111-2-2-2-2002-11-2-1-1110020011-1-120-1-111000000000000
χ292222-12222-122-1-12-1222-1-1-1-122-122-1-1-12-1-1-1-1-1000022-122-1-1-1-1-1000220000020000-1-1-1-100000-1-10
χ302222-12222-122-1-12-1222-1-1-1-122-122-1-1-12-1-1-1-1-10000-2-2-122-1-1-1-1-1000-2-200000-20000111100000110
χ312222-12222-122-1-12-1222-1-1-1-122-1-2-2-1-1-12-1-1-1-1-10000221-2-211111000-2-20000020000-1-1-1-100000110
χ322222-12222-122-1-12-1222-1-1-1-122-1-2-2-1-1-12-1-1-1-1-10000-2-21-2-2111110002200000-20000111100000-1-10
χ332222-12222-122-1-1-2-1-2-2-2-1-1-1-122-12-2111-21-1-1110000221-22-111-1-1000-2200000-20000-1-11100000-110
χ342222-12222-122-1-1-2-1-2-2-2-1-1-1-122-12-2111-21-1-1110000-2-21-22-111-1-10002-2000002000011-1-1000001-10
χ352222-12222-122-1-1-2-1-2-2-2-1-1-1-122-1-22111-21-1-111000022-12-21-1-1110002-200000-20000-1-111000001-10
χ362222-12222-122-1-1-2-1-2-2-2-1-1-1-122-1-22111-21-1-1110000-2-2-12-21-1-111000-22000002000011-1-100000-110
χ3722-2-2222-2-2-2-22-2202000-2-2222-2-200000002-2002-2002i−2i00000000000002-2000000002i−2i00002i−2i0000
χ3822-2-2222-2-2-2-22-2202000-2-2222-2-200000002-2002-200−2i2i00000000000002-200000000−2i2i0000−2i2i0000
χ3922-2-2222-2-2-2-22-2202000-2-2222-2-200000002-200-22002i−2i0000000000000-22000000002i−2i0000−2i2i0000
χ4022-2-2222-2-2-2-22-2202000-2-2222-2-200000002-200-2200−2i2i0000000000000-2200000000−2i2i00002i−2i0000
χ4144444-2-4-4-24-2-2444-2-4-2-2-2-2-2-422-4004-2-22-4222200000000000000000000000000000000000000000
χ4244444-2-4-4-24-2-244-4-2422-2-2-2-422-400-422-2422-2-200000000000000000000000000000000000000000
χ434444-24-4-44-244-2-24-2-444-2-2-22-4-4200-2-2-2-42222200000000000000000000000000000000000000000
χ444444-24-4-44-244-2-2-4-24-4-4-2-2-22-4-42002224-222-2-200000000000000000000000000000000000000000
χ454444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-244-211-2-21111000000-2-2-2-21111000000000000000000000000000
χ464444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-4-4-211-2-211110000002222-1-1-1-1000000000000000000000000000
χ474444-2-244-2-2-2-2-2-2-41-422111-2-2-2-24-42-1-12211-1-100000022-2-2-1-111000000000000000000000000000
χ484444-2-244-2-2-2-2-2-2-41-422111-2-2-2-2-442-1-12211-1-1000000-2-22211-1-1000000000000000000000000000
χ494444-2-2-4-4-2-2-2-2-2-241-4-2-2111222200-21122-1-1-1-100000000003-33-3000000000000000000000000000
χ504444-2-2-4-4-2-2-2-2-2-241-4-2-2111222200-21122-1-1-1-10000000000-33-33000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-2-414221112222002-1-1-2-2-1-11100000000003-3-33000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-2-414221112222002-1-1-2-2-1-1110000000000-333-3000000000000000000000000000
χ5344-4-444-44-4-4-44-4404000-4-44-4-4440000000-440000000000000000000000000000000000000000000
χ5444-4-44-24-42-42-2-440-200022-24-22-40000000-22004-400000000000000000-2200000000000000000000
χ5544-4-44-24-42-42-2-440-200022-24-22-40000000-2200-44000000000000000002-200000000000000000000
χ5644-4-44-2-442-42-2-440-200022-2-42-2400000002-200000000000000000000000−2i32i3000000000000000000
χ5744-4-44-2-442-42-2-440-200022-2-42-2400000002-2000000000000000000000002i3−2i3000000000000000000
χ5844-4-4-244-4-42-442-20-200022-2-24-420000000-220000004i−4i00000000000000000000000−2i2i0000000000
χ5944-4-4-244-4-42-442-20-200022-2-24-420000000-22000000−4i4i000000000000000000000002i−2i0000000000
χ6044-4-4-24-44-42-442-20-200022-22-44-200000002-2000000000000000000000000000000000−2i32i300000000
χ6144-4-4-24-44-42-442-20-200022-22-44-200000002-20000000000000000000000000000000002i3−2i300000000
χ624-44-44400-444-4-4-404000-44-4000000000000000000000000000004i−4i0000000000000000000000000
χ634-44-44400-444-4-4-404000-44-400000000000000000000000000000−4i4i0000000000000000000000000
χ644-4-4444004-4-4-44-4040004-4-400000000000000000−2i22i200000000000000000000000−2i22i2000000000000
χ654-4-4444004-4-4-44-4040004-4-4000000000000000002i2−2i2000000000000000000000002i2−2i2000000000000
χ664-4-444-200-2-4224-40-20−2i32i3-2220000000−2i32i300000000−2i22i20000000000000000000006−6i2−i2000000000000
χ674-4-444-200-2-4224-40-20−2i32i3-2220000000−2i32i3000000002i2−2i2000000000000000000000−66−i2i2000000000000
χ684-4-444-200-2-4224-40-202i3−2i3-22200000002i3−2i300000000−2i22i2000000000000000000000−66i2−i2000000000000
χ694-4-444-200-2-4224-40-202i3−2i3-22200000002i3−2i3000000002i2−2i20000000000000000000006−6−i2i2000000000000
χ7088-8-8-4-48-8444-44-402000-2-22-4-44400000002-20000000000000000000000000000000000000000000
χ7188-8-8-4-4-88444-44-402000-2-2244-4-40000000-220000000000000000000000000000000000000000000
χ728-88-88-40048-44-8-80-40004-4400000000000000000000000000000000000000000000000000000000
χ738-88-8-4800-8-48-8440-40004-4400000000000000000000000000000000000000000000000000000000
χ748-88-8-4-4004-4-444402000-22-200000000000006i−6i00000000000000000000000000000000000000000
χ758-88-8-4-4004-4-444402000-22-20000000000000−6i6i00000000000000000000000000000000000000000
χ768-8-88-480084-8-8-440-4000-44400000000000000000000000000000000000000000000000000000000
χ778-8-88-4-400-4444-44020−4i34i32-2-200000002i3−2i300000000000000000000000000000000000000000000000
χ788-8-88-4-400-4444-440204i3−4i32-2-20000000−2i32i300000000000000000000000000000000000000000000000

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