Finite Group Databasebeta

← Group #11872991

Character table — Group #11872991

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222444444444444444444444488888888888888888888881212121218181818242424242424242424242424242436363636363648484848
order1222334466666623444446666666666612121212121212121212121212121212121212121212121212128888444424448824242424242424242244446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-11-11-11111-1-1-1-1-1-1-1-1-1-11-11-1
χ31111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-11-11-11-1-1-1-11111-1-1-1-1-1-1-11-11
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ511111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-11-1-11-1-1-1-1
χ611111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-111-11111-1-1-1-111-111-1-11-11
χ711111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11-1-11-1-1-1-1111111-111-11-11-1
χ811111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111
χ911111111111111-11-111-1-1-1-1-1-11-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-1111111111-1-11-1-111-1-111-1-111-1-1-1-11-1-11
χ1011111111111111-11-111-1-1-1-1-1-11-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1111-1-1-1-111-1-1111111-1-1
χ1111111111111111-11-111-1-1-1-1-1-11-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-11111-1-111
χ1211111111111111-11-111-1-1-1-1-1-11-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-111-111-1-111-1-11111-1-1-1-1-111-1
χ1311111111111111-11-1-1-111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-111-1-1-111-1-111-1-1-1-1-111-1-111-1
χ1411111111111111-11-1-1-111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1111-1-1-1-111111-1-11-1-111
χ1511111111111111-11-1-1-111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11-1-1-11111-1-1111-1-1111-1-1
χ1611111111111111-11-1-1-111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111-1-1111-1-111-1-111-1-1-111-11-1-11
χ17222222-2-222222222-2000022222222222-2-2-2-2-2-200000000-2-2-2-200000000000022-2-20000000000000000-20020000
χ18222222-2-222222222-2000022222222222-2-2-2-2-2-200000000-2-2-2-2000000000000-2-2220000000000000000200-20000
χ19222222-2-2222222-2220000-2-2-2-22-2-2-2-222-2-2-2-22200000000-2-22200000000000022-2-20000000000000000200-20000
χ20222222-2-2222222-2220000-2-2-2-22-2-2-2-222-2-2-2-22200000000-2-222000000000000-2-2220000000000000000-20020000
χ2122222-1222-1-122-12-12222222-1-1-1-1-1-1-1-1-1-1-122-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000202020-1-1-1-10000000000-10-10
χ2222222-1222-1-122-12-12222222-1-1-1-1-1-1-1-1-1-1-122-1222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-20-20-20111100000000001010
χ2322222-1222-1-122-12-12-2-2-2-222-1-1-1-1-1-1-1-1-1-1-122-12-2-211-2-211-1-1-1-11111111122000000-20-2020-1-1-1-100000000001010
χ2422222-1222-1-122-12-12-2-2-2-222-1-1-1-1-1-1-1-1-1-1-122-12-2-211-2-211-1-1-1-111111111-2-20000002020-2011110000000000-10-10
χ2522222-1222-1-122-1-2-1-222-2-2-2-211-11111-1-1-1-1221-222-1-1-2-211-1-111-1-1-1-111112200000020-20-20-1-1110000000000-1010
χ2622222-1222-1-122-1-2-1-222-2-2-2-211-11111-1-1-1-1221-222-1-1-2-211-1-111-1-1-1-11111-2-2000000-20202011-1-1000000000010-10
χ2722222-1222-1-122-1-2-1-2-2-222-2-211-11111-1-1-1-1221-2-2-21122-1-1-1-1111111-1-1-1-122000000-2020-20-1-111000000000010-10
χ2822222-1222-1-122-1-2-1-2-2-222-2-211-11111-1-1-1-1221-2-2-21122-1-1-1-1111111-1-1-1-1-2-200000020-202011-1-10000000000-1010
χ292222-1222-122-1-122-122222-1-122-1-1-1-1-1-1-122-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1002200000202020000-1-1-1-10000000-10-1
χ302222-1222-122-1-122-122222-1-122-1-1-1-1-1-1-122-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100-2-200000-20-20-2000011110000000101
χ312222-1222-122-1-122-12-2-2-2-2-1-122-1-1-1-1-1-1-122-1-12-111-2-211-2-2-1-1-1-111111111002200000-20-2020000-1-1-1-10000000101
χ322222-1222-122-1-122-12-2-2-2-2-1-122-1-1-1-1-1-1-122-1-12-111-2-211-2-2-1-1-1-11111111100-2-2000002020-2000011110000000-10-1
χ332222-1222-122-1-12-2-1-222-2-211-2-2-11111-1-122-1-1-21-1-12211-2-2-1-111-1-1-1-11111002200000-2020-20000-1-111000000010-1
χ342222-1222-122-1-12-2-1-222-2-211-2-2-11111-1-122-1-1-21-1-12211-2-2-1-111-1-1-1-1111100-2-20000020-202000011-1-10000000-101
χ352222-1222-122-1-12-2-1-2-2-22211-2-2-11111-1-122-1-1-2111-2-2-1-122-1-1111111-1-1-1-100220000020-20-20000-1-1110000000-101
χ362222-1222-122-1-12-2-1-2-2-22211-2-2-11111-1-122-1-1-2111-2-2-1-122-1-1111111-1-1-1-100-2-200000-20202000011-1-1000000010-1
χ372-22-2222-2-2-222-2-2020002i−2i0000-200002-22-22-20000002i−2i2i−2i2-20000002i2i−2i−2i00002i−2i2i−2i000000000000000002-200000
χ382-22-2222-2-2-222-2-2020002i−2i0000-200002-22-22-20000002i−2i2i−2i2-20000002i2i−2i−2i0000−2i2i−2i2i00000000000000000-2200000
χ392-22-2222-2-2-222-2-202000−2i2i0000-200002-22-22-2000000−2i2i−2i2i2-2000000−2i−2i2i2i00002i−2i2i−2i00000000000000000-2200000
χ402-22-2222-2-2-222-2-202000−2i2i0000-200002-22-22-2000000−2i2i−2i2i2-2000000−2i−2i2i2i0000−2i2i−2i2i000000000000000002-200000
χ412-22-222-22-2-222-2-20202i−2i000000-200002-2-22-22002i−2i2i−2i0000-22002i2i−2i−2i000000002i−2i−2i2i000000000000002-200000000
χ422-22-222-22-2-222-2-20202i−2i000000-200002-2-22-22002i−2i2i−2i0000-22002i2i−2i−2i00000000−2i2i2i−2i00000000000000-2200000000
χ432-22-222-22-2-222-2-2020−2i2i000000-200002-2-22-2200−2i2i−2i2i0000-2200−2i−2i2i2i000000002i−2i−2i2i00000000000000-2200000000
χ442-22-222-22-2-222-2-2020−2i2i000000-200002-2-22-2200−2i2i−2i2i0000-2200−2i−2i2i2i00000000−2i2i2i−2i000000000000002-200000000
χ4544444-2-4-44-2-244-24-2-4000044-2-2-2-2-2-2-2-2-222-4-42-40000000022220000000000000000000000000000000000000000
χ4644444-2-4-44-2-244-2-4-240000-4-422-22222-2-222-4-4-240000000022-2-20000000000000000000000000000000000000000
χ474444-24-4-4-244-2-244-2-40000-2-244-2-2-2-2-2-2-2-4-422-420000000022220000000000000000000000000000000000000000
χ484444-24-4-4-244-2-24-4-24000022-4-4-22222-2-2-4-4224-20000000022-2-20000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-24144444-2-2-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000
χ504444-2-244-2-2-2-2-2-2414-4-4-4-4-2-2-2-21111111-2-2-2-2-2-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2-41-444-4-422221-1-1-1-111-2-2-2-222-2-2-2-2222211-1-11111-1-1-1-100000000000000000000000000000000
χ524444-2-244-2-2-2-2-2-2-41-4-4-44422221-1-1-1-111-2-2-2-2222222-2-2-2-211-1-1-1-1-1-1111100000000000000000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-241-40000-2-2-2-2111111122222200000000-1-1-1-13-33-33-33-300000000000000000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-241-40000-2-2-2-2111111122222200000000-1-1-1-1-33-33-33-3300000000000000000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2-414000022221-1-1-1-1112222-2-200000000-1-1113-33-3-33-3300000000000000000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2-414000022221-1-1-1-1112222-2-200000000-1-111-33-333-33-300000000000000000000000000000000
χ5744-4-4440044-4-4-4-40400000000040000-4-4000000000000000000000000000022−220000000000000022−22000000000000
χ5844-4-4440044-4-4-4-40400000000040000-4-40000000000000000000000000000−222200000000000000−2222000000000000
χ5944-4-4-2400-24-422-40-200000−2i32i300-2−2i3−2i32i32i322000000000000000000000000000022−2200000000000000−22i6−i60000000000
χ6044-4-4-2400-24-422-40-200000−2i32i300-2−2i3−2i32i32i3220000000000000000000000000000−2222000000000000002−2−i6i60000000000
χ6144-4-4-2400-24-422-40-2000002i3−2i300-22i32i3−2i3−2i322000000000000000000000000000022−2200000000000000−22−i6i60000000000
χ6244-4-4-2400-24-422-40-2000002i3−2i300-22i32i3−2i3−2i3220000000000000000000000000000−2222000000000000002−2i6−i60000000000
χ634-44-44-24-4-42-24-420-20004i−4i000020000-22-224-40000004i−4i−2i2i-22000000−2i−2i2i2i00000000000000000000000000000000
χ644-44-44-24-4-42-24-420-2000−4i4i000020000-22-224-4000000−4i4i2i−2i-220000002i2i−2i−2i00000000000000000000000000000000
χ654-44-44-2-44-42-24-420-204i−4i00000020000-222-2-44004i−4i−2i2i00002-200−2i−2i2i2i000000000000000000000000000000000000
χ664-44-44-2-44-42-24-420-20−4i4i00000020000-222-2-4400−4i4i2i−2i00002-2002i2i−2i−2i000000000000000000000000000000000000
χ674-44-4-244-42-44-22-40-20004i−4i000020000-224-4-22000000−2i2i4i−4i-22000000−2i−2i2i2i00000000000000000000000000000000
χ684-44-4-244-42-44-22-40-2000−4i4i000020000-224-4-220000002i−2i−4i4i-220000002i2i−2i−2i00000000000000000000000000000000
χ694-44-4-24-442-44-22-40-204i−4i00000020000-22-442-200−2i2i4i−4i00002-200−2i−2i2i2i000000000000000000000000000000000000
χ704-44-4-24-442-44-22-40-20−4i4i00000020000-22-442-2002i−2i−4i4i00002-2002i2i−2i−2i000000000000000000000000000000000000
χ714-44-4-2-24-422-2-222010004i−4i0000-13-33-31-1-22-22000000−2i2i−2i2i1-13-33i−3i−3i3iii−i−i00000000000000000000000000000000
χ724-44-4-2-24-422-2-222010004i−4i0000-1-33-331-1-22-22000000−2i2i−2i2i1-1-33−3i3i3i−3iii−i−i00000000000000000000000000000000
χ734-44-4-2-24-422-2-22201000−4i4i0000-13-33-31-1-22-220000002i−2i2i−2i1-13-3−3i3i3i−3i−i−iii00000000000000000000000000000000
χ744-44-4-2-24-422-2-22201000−4i4i0000-1-33-331-1-22-220000002i−2i2i−2i1-1-333i−3i−3i3i−i−iii00000000000000000000000000000000
χ754-44-4-2-2-4422-2-2220104i−4i000000-13-33-31-12-22-200−2i2i−2i2i0000-11-33ii−i−i3i−3i−3i3i00000000000000000000000000000000
χ764-44-4-2-2-4422-2-2220104i−4i000000-1-33-331-12-22-200−2i2i−2i2i0000-113-3ii−i−i−3i3i3i−3i00000000000000000000000000000000
χ774-44-4-2-2-4422-2-222010−4i4i000000-13-33-31-12-22-2002i−2i2i−2i0000-11-33−i−iii−3i3i3i−3i00000000000000000000000000000000
χ784-44-4-2-2-4422-2-222010−4i4i000000-1-33-331-12-22-2002i−2i2i−2i0000-113-3−i−iii3i−3i−3i3i00000000000000000000000000000000
χ794-4-444400-4-4-4-44404000000000-40000-440000000000000000000000000022−2200000000000022−220000000000000000
χ804-4-444400-4-4-4-44404000000000-40000-4400000000000000000000000000−2222000000000000−22220000000000000000
χ814-4-444-200-422-44-20-20000000−2i32i32−2i32i32i3−2i32-20000000000000000000000000022−22000000000000−22i6−i600000000000000
χ824-4-444-200-422-44-20-20000000−2i32i32−2i32i32i3−2i32-200000000000000000000000000−22220000000000002−2−i6i600000000000000
χ834-4-444-200-422-44-20-200000002i3−2i322i3−2i3−2i32i32-20000000000000000000000000022−22000000000000−22−i6i600000000000000
χ844-4-444-200-422-44-20-200000002i3−2i322i3−2i3−2i32i32-200000000000000000000000000−22220000000000002−2i6−i600000000000000
χ8588-8-88-4008-44-8-840-4000000000-40000440000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-4-444440200000−4i34i30022i32i3−2i3−2i3-2-20000000000000000000000000000000000000000000000000000000000
χ8788-8-8-4-400-4-4444402000004i3−4i3002−2i3−2i32i32i3-2-20000000000000000000000000000000000000000000000000000000000
χ888-8-88-48004-8-84-480-4000000000400004-40000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004444-4-4020000000−4i34i3-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000000
χ908-8-88-4-4004444-4-40200000004i3−4i3-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000000

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